{"icon_src": "", "domain_slug": null, "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Khan Academy", "translated_title": "Khan Academy", "gplus_url": "", "id": "x00000000", "old_key_name": "7SATIJAdRLq1gMbKcjtTmLAbeMSrfYZjJOnqUmQu", "hide": true, "title": "Khan Academy", "child_data": [{"kind": "Topic", "id": "x29232c6b"}, {"kind": "Topic", "id": "x7a488390"}, {"kind": "Topic", "id": "xb92336a2"}, {"kind": "Topic", "id": "x5ca94af1"}, {"kind": "Topic", "id": "x905db83d"}, {"kind": "Topic", "id": "x54390c7e"}, {"kind": "Topic", "id": "xffde7c31"}, {"kind": "Topic", "id": "xd1039e22"}, {"kind": "Topic", "id": "x6a4a5e33"}, {"kind": "Topic", "id": "xf48da0d3"}, {"kind": "Topic", "id": "xcc477d6b"}, {"kind": "Topic", "id": "xfbfcb2c7"}, {"kind": "Topic", "id": "x68f6d0db"}, {"kind": "Topic", "id": "x54f76d4b"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/new-and-noteworthy", "web_url": "", "ka_url": "http://www.khanacademy.org/new-and-noteworthy", "translated_standalone_title": "New and noteworthy", "translated_title": "New and noteworthy", "gplus_url": "", "id": "x29232c6b", "old_key_name": "-ApZRzGGmtYHHu3-81vynfgVFyup2iC4LzDUN56I", "hide": false, "title": "New and noteworthy", "child_data": [{"kind": "Video", "id": 1101921746}, {"kind": "Video", "id": 796509722}, {"kind": "Video", "id": 796388970}, {"kind": "Video", "id": 753767269}, {"kind": "Video", "id": 225139731}, {"kind": "Video", "id": 225139729}, {"kind": "Video", "id": 988721865}, {"kind": "Video", "id": 884313452}, {"kind": "Video", "id": 671536496}, {"kind": "Video", "id": 887553535}, {"kind": "Video", "id": 1049279550}, {"kind": "Video", "id": 796535894}, {"kind": "Video", "id": 796307891}, {"kind": "Video", "id": 1094139389}, {"kind": "Video", "id": 796502981}, {"kind": "Video", "id": 796434657}, {"kind": "Video", "id": 871510490}, {"kind": "Video", "id": 884392300}, {"kind": "Video", "id": "x77e83a17"}, {"kind": "Video", "id": 884395195}, {"kind": "Video", "id": 1077533640}, {"kind": "Video", "id": 1094227108}, {"kind": "Video", "id": 1094119956}, {"kind": "Video", "id": 1112847811}, {"kind": "Video", "id": 1114711148}, {"kind": "Video", "id": 1081957510}, {"kind": "Video", "id": 1095856196}, {"kind": "Video", "id": 1090948774}, {"kind": "Video", "id": 1013985489}, {"kind": "Video", "id": "xca214ba1"}], "children": [{"translated_youtube_id": "l-QFT7XNeb4", "relative_url": "/video/sal-on-airtalk-talking-about-his-new-book", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-on-airtalk-talking-about-his-new-book", "duration": 1022, "translated_title": "Radio interview: Sal on AirTalk talking about his new book", "translated_description_html": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "id": "1101921746", "description_html": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "title": "Radio interview: Sal on AirTalk talking about his new book", "progress_key": "v1101921746", "edit_slug": "edit/v/1101921746", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-on-airtalk-talking-about-his-new-book", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-23T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.mp4/l-QFT7XNeb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.mp4/l-QFT7XNeb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.m3u8/l-QFT7XNeb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l-QFT7XNeb4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1101921746", "sha": "1d57ff6d1167c2bb719d4a5d97f4c152b52097e6", "translated_description": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "image_url": "https://img.youtube.com/vi/l-QFT7XNeb4/hqdefault.jpg", "youtube_id": "l-QFT7XNeb4", "content_kind": "Video", "readable_id": "sal-on-airtalk-talking-about-his-new-book"}, {"translated_youtube_id": "9p3HNMe-oAI", "relative_url": "/video/math-mechanics-of-thai-banking-crisis", "has_questions": false, "keywords": "macroeconomics, thai, currency, crisis", "ka_url": "http://www.khanacademy.org/video/math-mechanics-of-thai-banking-crisis", "duration": 461, "translated_title": "Math mechanics of Thai banking crisis", "translated_description_html": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "id": "796509722", "description_html": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "title": "Math mechanics of Thai banking crisis", "progress_key": "v796509722", "edit_slug": "edit/v/796509722", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "extra_properties": null, "node_slug": "v/math-mechanics-of-thai-banking-crisis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:56:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.mp4/9p3HNMe-oAI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.mp4/9p3HNMe-oAI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.m3u8/9p3HNMe-oAI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9p3HNMe-oAI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796509722", "sha": "a1990b5675776c032eb3c2d5f4cc111577168487", "translated_description": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "image_url": "https://img.youtube.com/vi/9p3HNMe-oAI/hqdefault.jpg", "youtube_id": "9p3HNMe-oAI", "content_kind": "Video", "readable_id": "math-mechanics-of-thai-banking-crisis"}, {"translated_youtube_id": "lA3sjWwu5-s", "relative_url": "/video/financial-crisis-in-thailand-caused-by-speculative-attack", "has_questions": false, "keywords": "thailand, macroeconomics, currency", "ka_url": "http://www.khanacademy.org/video/financial-crisis-in-thailand-caused-by-speculative-attack", "duration": 393, "translated_title": "Financial crisis in Thailand caused by speculative attack", "translated_description_html": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "id": "796388970", "description_html": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "title": "Financial crisis in Thailand caused by speculative attack", "progress_key": "v796388970", "edit_slug": "edit/v/796388970", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "extra_properties": null, "node_slug": "v/financial-crisis-in-thailand-caused-by-speculative-attack", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-21T17:55:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.m3u8/lA3sjWwu5-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lA3sjWwu5-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796388970", "sha": "f910eb87c642b030ec526faac24ab07b5518e715", "translated_description": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "image_url": "https://img.youtube.com/vi/lA3sjWwu5-s/hqdefault.jpg", "youtube_id": "lA3sjWwu5-s", "content_kind": "Video", "readable_id": "financial-crisis-in-thailand-caused-by-speculative-attack"}, {"translated_youtube_id": "iMqCSgqzmiQ", "relative_url": "/video/lebron-asks-about-the-chances-of-making-10-free-throws", "has_questions": false, "keywords": "marquee, lebron, james, probability, miami, heat, khan, academy, marquee", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-the-chances-of-making-10-free-throws", "duration": 425, "translated_title": "LeBron asks: What are the chances of making 10 free throws in a row?", "translated_description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "id": "753767269", "description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "title": "LeBron asks: What are the chances of making 10 free throws in a row?", "progress_key": "v753767269", "edit_slug": "edit/v/753767269", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "extra_properties": null, "node_slug": "v/lebron-asks-about-the-chances-of-making-10-free-throws", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-04-30T15:16:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.m3u8/iMqCSgqzmiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iMqCSgqzmiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v753767269", "sha": "9c4cadca1ed9299e2cbc8d7d232c21433764430f", "translated_description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "image_url": "https://img.youtube.com/vi/iMqCSgqzmiQ/hqdefault.jpg", "youtube_id": "iMqCSgqzmiQ", "content_kind": "Video", "readable_id": "lebron-asks-about-the-chances-of-making-10-free-throws"}, {"translated_youtube_id": "z_QeYCg4yJ8", "relative_url": "/video/primaries-and-caucuses", "has_questions": false, "keywords": "primary, caucus, politics", "ka_url": "http://www.khanacademy.org/video/primaries-and-caucuses", "duration": 493, "translated_title": "Primaries and caucuses", "translated_description_html": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "id": "225139731", "description_html": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "title": "Primaries and caucuses", "progress_key": "v225139731", "edit_slug": "edit/v/225139731", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "extra_properties": {"originalUrl": ""}, "node_slug": "v/primaries-and-caucuses", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.mp4/z_QeYCg4yJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.mp4/z_QeYCg4yJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.m3u8/z_QeYCg4yJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z_QeYCg4yJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v225139731", "sha": "fcaffa3b080cb6e17c9870cd668df75d62c8a29e", "translated_description": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "image_url": "https://img.youtube.com/vi/z_QeYCg4yJ8/hqdefault.jpg", "youtube_id": "z_QeYCg4yJ8", "content_kind": "Video", "readable_id": "primaries-and-caucuses"}, {"translated_youtube_id": "oTbvYGH_Hiw", "relative_url": "/video/electoral-college", "has_questions": false, "keywords": "politics, electoral, college", "ka_url": "http://www.khanacademy.org/video/electoral-college", "duration": 670, "translated_title": "Electoral college", "translated_description_html": "How we elect our President in the United States", "id": "225139729", "description_html": "How we elect our President in the United States", "title": "Electoral college", "progress_key": "v225139729", "edit_slug": "edit/v/225139729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How we elect our President in the United States", "extra_properties": null, "node_slug": "v/electoral-college", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.mp4/oTbvYGH_Hiw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.mp4/oTbvYGH_Hiw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.m3u8/oTbvYGH_Hiw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oTbvYGH_Hiw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139729", "sha": "04fea2c1c722cd17a5fcf111f05a0ab7dfbf96d6", "translated_description": "How we elect our President in the United States", "image_url": "https://img.youtube.com/vi/oTbvYGH_Hiw/hqdefault.jpg", "youtube_id": "oTbvYGH_Hiw", "content_kind": "Video", "readable_id": "electoral-college"}, {"translated_youtube_id": "FvsSPJoJB3k", "relative_url": "/video/apollonius--boxer-at-rest--c--100-b-c-e", "has_questions": false, "keywords": "Apollonius, Boxer at Rest, Boxer, Boxing, 100 B.C.E., bronze, Palazzo Massimo, Museo Nazionale Romano, Rome, Greek, Hellenistic, sculpture, art, art history", "ka_url": "http://www.khanacademy.org/video/apollonius--boxer-at-rest--c--100-b-c-e", "duration": 254, "translated_title": "Hellenistic: Apollonius, Boxer at Rest", "translated_description_html": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "988721865", "description_html": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Hellenistic: Apollonius, Boxer at Rest", "progress_key": "v988721865", "edit_slug": "edit/v/988721865", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/apolloniuss-boxer-at-rest"}, "node_slug": "v/apollonius--boxer-at-rest--c--100-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-08-22T19:36:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.mp4/FvsSPJoJB3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.mp4/FvsSPJoJB3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.m3u8/FvsSPJoJB3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FvsSPJoJB3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v988721865", "sha": "05e221c83f498eb69603f53c3f5486f17a5a5ffe", "translated_description": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/FvsSPJoJB3k/hqdefault.jpg", "youtube_id": "FvsSPJoJB3k", "content_kind": "Video", "readable_id": "apollonius--boxer-at-rest--c--100-b-c-e"}, {"translated_youtube_id": "AHRh3EpJQH0", "relative_url": "/video/divisibility-intuition", "has_questions": false, "keywords": "divisibility, factors, intuition", "ka_url": "http://www.khanacademy.org/video/divisibility-intuition", "duration": 190, "translated_title": "Divisibility intuition", "translated_description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "id": "884313452", "description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "title": "Divisibility intuition", "progress_key": "v884313452", "edit_slug": "edit/v/884313452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "extra_properties": null, "node_slug": "v/divisibility-intuition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-07-03T14:14:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.m3u8/AHRh3EpJQH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AHRh3EpJQH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884313452", "sha": "b43d67ade1c2e6f948dab8c92be243c19b43e72f", "translated_description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "image_url": "https://img.youtube.com/vi/AHRh3EpJQH0/hqdefault.jpg", "youtube_id": "AHRh3EpJQH0", "content_kind": "Video", "readable_id": "divisibility-intuition"}, {"translated_youtube_id": "RKcJvjP9zgY", "relative_url": "/video/bernini---ecstasy-of-st--theresa", "has_questions": false, "keywords": "Bernini, Theresa, Ecstasy of Saint Theresa, Gian Lorenzo Bernini, 1647, 1652, Cornaro, Vittoria, Rome, Baroque, Counter Reformation", "ka_url": "http://www.khanacademy.org/video/bernini---ecstasy-of-st--theresa", "duration": 453, "translated_title": "Bernini, Ecstasy of Saint Teresa", "translated_description_html": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "id": "671536496", "description_html": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "title": "Bernini, Ecstasy of Saint Teresa", "progress_key": "v671536496", "edit_slug": "edit/v/671536496", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bernini-ecstasy-of-st.-theresa"}, "node_slug": "v/bernini---ecstasy-of-st--theresa", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.mp4/RKcJvjP9zgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.mp4/RKcJvjP9zgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.m3u8/RKcJvjP9zgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RKcJvjP9zgY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536496", "sha": "f3336dab9acee88008bdc5b9b04c73361cf1622a", "translated_description": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "image_url": "https://img.youtube.com/vi/RKcJvjP9zgY/hqdefault.jpg", "youtube_id": "RKcJvjP9zgY", "content_kind": "Video", "readable_id": "bernini---ecstasy-of-st--theresa"}, {"translated_youtube_id": "8nW9L7cSop4", "relative_url": "/video/ppaca--or--obamacare", "has_questions": false, "keywords": "PPACA, obamacare, individual, mandate", "ka_url": "http://www.khanacademy.org/video/ppaca--or--obamacare", "duration": 434, "translated_title": "PPACA or \"Obamacare\"", "translated_description_html": "Basic overview of what is sometimes referred to as \"Obamacare\"", "id": "887553535", "description_html": "Basic overview of what is sometimes referred to as \"Obamacare\"", "title": "PPACA or \"Obamacare\"", "progress_key": "v887553535", "edit_slug": "edit/v/887553535", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic overview of what is sometimes referred to as \"Obamacare\"", "extra_properties": null, "node_slug": "v/ppaca--or--obamacare", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-07-05T19:25:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.mp4/8nW9L7cSop4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.mp4/8nW9L7cSop4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.m3u8/8nW9L7cSop4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8nW9L7cSop4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v887553535", "sha": "ff03f9bf43a4e4ff419b69dfa02b83b80fbbd237", "translated_description": "Basic overview of what is sometimes referred to as \"Obamacare\"", "image_url": "https://img.youtube.com/vi/8nW9L7cSop4/hqdefault.jpg", "youtube_id": "8nW9L7cSop4", "content_kind": "Video", "readable_id": "ppaca--or--obamacare"}, {"translated_youtube_id": "9BUDq62Ghic", "relative_url": "/video/the-language-advocates", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-language-advocates", "duration": 212, "translated_title": "The language advocates", "translated_description_html": "", "id": "1049279550", "description_html": "", "title": "The language advocates", "progress_key": "v1049279550", "edit_slug": "edit/v/1049279550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/the-language-advocates", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-22T00:04:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.mp4/9BUDq62Ghic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.mp4/9BUDq62Ghic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.m3u8/9BUDq62Ghic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9BUDq62Ghic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1049279550", "sha": "4eacac16b65b15f90c6bbd2da6eed19b8bb8732e", "translated_description": "", "image_url": "https://img.youtube.com/vi/9BUDq62Ghic/hqdefault.jpg", "youtube_id": "9BUDq62Ghic", "content_kind": "Video", "readable_id": "the-language-advocates"}, {"translated_youtube_id": "xc-TSAQkqJ0", "relative_url": "/video/why-europe-is-worried-about-greece", "has_questions": false, "keywords": "eurozone, crisis, greece, marquee", "ka_url": "http://www.khanacademy.org/video/why-europe-is-worried-about-greece", "duration": 489, "translated_title": "Why Europe is worried about Greece", "translated_description_html": "Why the Greek situation is scary for Europe as a whole", "id": "796535894", "description_html": "Why the Greek situation is scary for Europe as a whole", "title": "Why Europe is worried about Greece", "progress_key": "v796535894", "edit_slug": "edit/v/796535894", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why the Greek situation is scary for Europe as a whole", "extra_properties": null, "node_slug": "v/why-europe-is-worried-about-greece", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-05-21T17:58:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.m3u8/xc-TSAQkqJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xc-TSAQkqJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796535894", "sha": "ec92c6163a86997435470dbf35f090c826e70b14", "translated_description": "Why the Greek situation is scary for Europe as a whole", "image_url": "https://img.youtube.com/vi/xc-TSAQkqJ0/hqdefault.jpg", "youtube_id": "xc-TSAQkqJ0", "content_kind": "Video", "readable_id": "why-europe-is-worried-about-greece"}, {"translated_youtube_id": "jkmwAJMERrY", "relative_url": "/video/how-and-why-greece-would-leave-the-euro--part-3", "has_questions": false, "keywords": "euro, greece, financial, crisis", "ka_url": "http://www.khanacademy.org/video/how-and-why-greece-would-leave-the-euro--part-3", "duration": 501, "translated_title": "How and why Greece would leave the Euro (part 3)", "translated_description_html": "The pain and mechanics of leaving the Euro", "id": "796307891", "description_html": "The pain and mechanics of leaving the Euro", "title": "How and why Greece would leave the Euro (part 3)", "progress_key": "v796307891", "edit_slug": "edit/v/796307891", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The pain and mechanics of leaving the Euro", "extra_properties": null, "node_slug": "v/how-and-why-greece-would-leave-the-euro--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:58:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.m3u8/jkmwAJMERrY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jkmwAJMERrY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796307891", "sha": "5c9016e4c6b7d762870a3efb849c781dbef10517", "translated_description": "The pain and mechanics of leaving the Euro", "image_url": "https://img.youtube.com/vi/jkmwAJMERrY/hqdefault.jpg", "youtube_id": "jkmwAJMERrY", "content_kind": "Video", "readable_id": "how-and-why-greece-would-leave-the-euro--part-3"}, {"translated_youtube_id": "-fCVxTTAtFQ", "relative_url": "/video/monte-carlo-simulation-to-answer-lebron-s-question", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/monte-carlo-simulation-to-answer-lebron-s-question", "duration": 491, "translated_title": "Monte Carlo simulation to answer LeBron's question", "translated_description_html": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "id": "1094139389", "description_html": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "title": "Monte Carlo simulation to answer LeBron's question", "progress_key": "v1094139389", "edit_slug": "edit/v/1094139389", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "extra_properties": null, "node_slug": "v/monte-carlo-simulation-to-answer-lebron-s-question", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-18T17:39:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.mp4/-fCVxTTAtFQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.mp4/-fCVxTTAtFQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.m3u8/-fCVxTTAtFQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-fCVxTTAtFQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1094139389", "sha": "2c303ddd400fa3267febdf5ed75069e737bb2e5a", "translated_description": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "image_url": "https://img.youtube.com/vi/-fCVxTTAtFQ/hqdefault.jpg", "youtube_id": "-fCVxTTAtFQ", "content_kind": "Video", "readable_id": "monte-carlo-simulation-to-answer-lebron-s-question"}, {"translated_youtube_id": "9p10aMu1Glo", "relative_url": "/video/greek-debt-recession-and-austerity--part-1", "has_questions": false, "keywords": "EU, crisis, greece, italy, spain", "ka_url": "http://www.khanacademy.org/video/greek-debt-recession-and-austerity--part-1", "duration": 420, "translated_title": "Greek debt recession and austerity (part 1)", "translated_description_html": "A primer of why Greece is in a tough situation (more in future videos)", "id": "796502981", "description_html": "A primer of why Greece is in a tough situation (more in future videos)", "title": "Greek debt recession and austerity (part 1)", "progress_key": "v796502981", "edit_slug": "edit/v/796502981", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A primer of why Greece is in a tough situation (more in future videos)", "extra_properties": null, "node_slug": "v/greek-debt-recession-and-austerity--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:56:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.mp4/9p10aMu1Glo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.mp4/9p10aMu1Glo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.m3u8/9p10aMu1Glo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9p10aMu1Glo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796502981", "sha": "b4c9a93828a478420d6f0c2dd485817a7aace2b5", "translated_description": "A primer of why Greece is in a tough situation (more in future videos)", "image_url": "https://img.youtube.com/vi/9p10aMu1Glo/hqdefault.jpg", "youtube_id": "9p10aMu1Glo", "content_kind": "Video", "readable_id": "greek-debt-recession-and-austerity--part-1"}, {"translated_youtube_id": "CkNArgNPI2Y", "relative_url": "/video/greek-financial-crisis--part-2", "has_questions": false, "keywords": "greece, financial, crisis, eurozone, euro", "ka_url": "http://www.khanacademy.org/video/greek-financial-crisis--part-2", "duration": 636, "translated_title": "Greek financial crisis (part 2)", "translated_description_html": "What Greece could have done if it had its own currency", "id": "796434657", "description_html": "What Greece could have done if it had its own currency", "title": "Greek financial crisis (part 2)", "progress_key": "v796434657", "edit_slug": "edit/v/796434657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What Greece could have done if it had its own currency", "extra_properties": null, "node_slug": "v/greek-financial-crisis--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-21T17:57:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.mp4/CkNArgNPI2Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.mp4/CkNArgNPI2Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.m3u8/CkNArgNPI2Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CkNArgNPI2Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796434657", "sha": "6d9df469fc17b596c1bc2765d4e04fad598ae81b", "translated_description": "What Greece could have done if it had its own currency", "image_url": "https://img.youtube.com/vi/CkNArgNPI2Y/hqdefault.jpg", "youtube_id": "CkNArgNPI2Y", "content_kind": "Video", "readable_id": "greek-financial-crisis--part-2"}, {"translated_youtube_id": "SQzjzStU1RQ", "relative_url": "/video/why-dividing-by-zero-is-undefined", "has_questions": false, "keywords": "zero, undefined", "ka_url": "http://www.khanacademy.org/video/why-dividing-by-zero-is-undefined", "duration": 248, "translated_title": "Why dividing by zero is undefined", "translated_description_html": "Thinking about why dividing by zero is left undefined", "id": "871510490", "description_html": "Thinking about why dividing by zero is left undefined", "title": "Why dividing by zero is undefined", "progress_key": "v871510490", "edit_slug": "edit/v/871510490", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about why dividing by zero is left undefined", "extra_properties": null, "node_slug": "v/why-dividing-by-zero-is-undefined", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-06-25T15:07:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.m3u8/SQzjzStU1RQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SQzjzStU1RQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v871510490", "sha": "3c2e60f94a6dda0460d7de2d8859335ce7d1ed36", "translated_description": "Thinking about why dividing by zero is left undefined", "image_url": "https://img.youtube.com/vi/SQzjzStU1RQ/hqdefault.jpg", "youtube_id": "SQzjzStU1RQ", "content_kind": "Video", "readable_id": "why-dividing-by-zero-is-undefined"}, {"translated_youtube_id": "uzvopM4PZLw", "relative_url": "/video/the-fundamental-theorem-of-arithmetic", "has_questions": false, "keywords": "fundamental, theorem, of, arithmetic", "ka_url": "http://www.khanacademy.org/video/the-fundamental-theorem-of-arithmetic", "duration": 273, "translated_title": "The fundamental theorem of arithmetic", "translated_description_html": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "id": "884392300", "description_html": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "title": "The fundamental theorem of arithmetic", "progress_key": "v884392300", "edit_slug": "edit/v/884392300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "extra_properties": null, "node_slug": "v/the-fundamental-theorem-of-arithmetic", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-07-03T14:16:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.m3u8/uzvopM4PZLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzvopM4PZLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884392300", "sha": "b31f5f784f98ae59211243db6c22a3b6ecce5db6", "translated_description": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "image_url": "https://img.youtube.com/vi/uzvopM4PZLw/hqdefault.jpg", "youtube_id": "uzvopM4PZLw", "content_kind": "Video", "readable_id": "the-fundamental-theorem-of-arithmetic"}, {"translated_youtube_id": "XPMzosLWGHo", "relative_url": "/video/fermat-s-little-theorem--visualization", "has_questions": false, "keywords": "fermat's little theorem", "ka_url": "http://www.khanacademy.org/video/fermat-s-little-theorem--visualization", "duration": 366, "translated_title": "Fermat's little theorem", "translated_description_html": "Introduction to a key result in elementary number theory using a visualization with beads", "id": "x77e83a17", "description_html": "Introduction to a key result in elementary number theory using a visualization with beads", "title": "Fermat's little theorem", "progress_key": "vx77e83a17", "edit_slug": "edit/v/x77e83a17", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to a key result in elementary number theory using a visualization with beads", "extra_properties": {"original_url": ""}, "node_slug": "v/fermat-s-little-theorem--visualization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-09T15:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.mp4/XPMzosLWGHo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.mp4/XPMzosLWGHo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.m3u8/XPMzosLWGHo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XPMzosLWGHo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx77e83a17", "sha": "4a5cde09a1ee18ee70afe6f771f2f6d46a772c3b", "translated_description": "Introduction to a key result in elementary number theory using a visualization with beads", "image_url": "https://img.youtube.com/vi/XPMzosLWGHo/hqdefault.jpg", "youtube_id": "XPMzosLWGHo", "content_kind": "Video", "readable_id": "fermat-s-little-theorem--visualization"}, {"translated_youtube_id": "NehkLV77ITk", "relative_url": "/video/the-why-of-the-3-divisibility-rule", "has_questions": false, "keywords": "divisibility", "ka_url": "http://www.khanacademy.org/video/the-why-of-the-3-divisibility-rule", "duration": 303, "translated_title": "The why of the 3 divisibility rule", "translated_description_html": "Why you can add the digits to see if something is divisible by 3", "id": "884395195", "description_html": "Why you can add the digits to see if something is divisible by 3", "title": "The why of the 3 divisibility rule", "progress_key": "v884395195", "edit_slug": "edit/v/884395195", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why you can add the digits to see if something is divisible by 3", "extra_properties": null, "node_slug": "v/the-why-of-the-3-divisibility-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-03T14:10:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.m3u8/NehkLV77ITk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NehkLV77ITk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884395195", "sha": "edf47bb810464de5b5f660b123e098d009deba26", "translated_description": "Why you can add the digits to see if something is divisible by 3", "image_url": "https://img.youtube.com/vi/NehkLV77ITk/hqdefault.jpg", "youtube_id": "NehkLV77ITk", "content_kind": "Video", "readable_id": "the-why-of-the-3-divisibility-rule"}, {"translated_youtube_id": "CcziDRr5Myc", "relative_url": "/video/bit-zee classroom", "has_questions": false, "keywords": "Bit-zee bot", "ka_url": "http://www.khanacademy.org/video/bit-zee classroom", "duration": 71, "translated_title": "Bit-zeeeeeeeeeee", "translated_description_html": "

Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home<\/p>\n", "id": "1077533640", "description_html": "

Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home<\/p>\n", "title": "Bit-zeeeeeeeeeee", "progress_key": "v1077533640", "edit_slug": "edit/v/1077533640", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee classroom", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-09T05:17:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.mp4/CcziDRr5Myc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.mp4/CcziDRr5Myc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.m3u8/CcziDRr5Myc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CcziDRr5Myc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077533640", "sha": "932e460c1667ba6de97d8a1c5a1a9f1330e4f899", "translated_description": "Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home\n", "image_url": "https://img.youtube.com/vi/CcziDRr5Myc/hqdefault.jpg", "youtube_id": "CcziDRr5Myc", "content_kind": "Video", "readable_id": "bit-zee classroom"}, {"translated_youtube_id": "3tRc6mUumFk", "relative_url": "/video/super-yoga-plans--basic-variables-and-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--basic-variables-and-equations", "duration": 439, "translated_title": "Super Yoga plans: Basic variables and equations", "translated_description_html": "Beginning to evaluate which yoga plan is better for me", "id": "1094227108", "description_html": "Beginning to evaluate which yoga plan is better for me", "title": "Super Yoga plans: Basic variables and equations", "progress_key": "v1094227108", "edit_slug": "edit/v/1094227108", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beginning to evaluate which yoga plan is better for me", "extra_properties": null, "node_slug": "v/super-yoga-plans--basic-variables-and-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-10-18T17:51:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.m3u8/3tRc6mUumFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tRc6mUumFk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094227108", "sha": "a4f1e5ec27ebe9ec630c22120ef3168d8573c9b4", "translated_description": "Beginning to evaluate which yoga plan is better for me", "image_url": "https://img.youtube.com/vi/3tRc6mUumFk/hqdefault.jpg", "youtube_id": "3tRc6mUumFk", "content_kind": "Video", "readable_id": "super-yoga-plans--basic-variables-and-equations"}, {"translated_youtube_id": "hq1bUM2tyg0", "relative_url": "/video/super-yoga-plans--solving-one-step-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-one-step-equations", "duration": 460, "translated_title": "Super Yoga plans: Solving one-step equations", "translated_description_html": "Solving one-step equations to see how many sessions can be attended", "id": "1094119956", "description_html": "Solving one-step equations to see how many sessions can be attended", "title": "Super Yoga plans: Solving one-step equations", "progress_key": "v1094119956", "edit_slug": "edit/v/1094119956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving one-step equations to see how many sessions can be attended", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:52:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.m3u8/hq1bUM2tyg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hq1bUM2tyg0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094119956", "sha": "f42f7f9bcc557deebf3154c04c6bd83f1fb5bc41", "translated_description": "Solving one-step equations to see how many sessions can be attended", "image_url": "https://img.youtube.com/vi/hq1bUM2tyg0/hqdefault.jpg", "youtube_id": "hq1bUM2tyg0", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-one-step-equations"}, {"translated_youtube_id": "xCIHAjsZCE0", "relative_url": "/video/king-s-cupcakes---solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/king-s-cupcakes---solving-systems-by-elimination", "duration": 540, "translated_title": "King's cupcakes: Solving systems by elimination", "translated_description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "id": "1112847811", "description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "title": "King's cupcakes: Solving systems by elimination", "progress_key": "v1112847811", "edit_slug": "edit/v/1112847811", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "extra_properties": null, "node_slug": "v/king-s-cupcakes---solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T17:49:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.m3u8/xCIHAjsZCE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xCIHAjsZCE0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112847811", "sha": "2cf74a83a28ebf02909e125fbd327fc375b3900d", "translated_description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "image_url": "https://img.youtube.com/vi/xCIHAjsZCE0/hqdefault.jpg", "youtube_id": "xCIHAjsZCE0", "content_kind": "Video", "readable_id": "king-s-cupcakes---solving-systems-by-elimination"}, {"translated_youtube_id": "VuJEidLhY1E", "relative_url": "/video/how-many-bags-of-potato-chips-do-people-eat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-bags-of-potato-chips-do-people-eat", "duration": 561, "translated_title": "How many bags of potato chips do people eat?", "translated_description_html": "Using elimination to solve a system of equations", "id": "1114711148", "description_html": "Using elimination to solve a system of equations", "title": "How many bags of potato chips do people eat?", "progress_key": "v1114711148", "edit_slug": "edit/v/1114711148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using elimination to solve a system of equations", "extra_properties": null, "node_slug": "v/how-many-bags-of-potato-chips-do-people-eat", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-30T16:59:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.m3u8/VuJEidLhY1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VuJEidLhY1E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1114711148", "sha": "19ebfa03b68a958d849f765499479678a83a9024", "translated_description": "Using elimination to solve a system of equations", "image_url": "https://img.youtube.com/vi/VuJEidLhY1E/hqdefault.jpg", "youtube_id": "VuJEidLhY1E", "content_kind": "Video", "readable_id": "how-many-bags-of-potato-chips-do-people-eat"}, {"translated_youtube_id": "ufymsKi9S3U", "relative_url": "/video/hundred-days-and-waterloo", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hundred-days-and-waterloo", "duration": 453, "translated_title": "Hundred days and Waterloo", "translated_description_html": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "id": "1081957510", "description_html": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "title": "Hundred days and Waterloo", "progress_key": "v1081957510", "edit_slug": "edit/v/1081957510", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "extra_properties": null, "node_slug": "v/hundred-days-and-waterloo", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-10-11T15:33:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.mp4/ufymsKi9S3U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.mp4/ufymsKi9S3U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.m3u8/ufymsKi9S3U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ufymsKi9S3U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1081957510", "sha": "45480b8b099bbf4bbbc6b6f313c054a306d99789", "translated_description": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "image_url": "https://img.youtube.com/vi/ufymsKi9S3U/hqdefault.jpg", "youtube_id": "ufymsKi9S3U", "content_kind": "Video", "readable_id": "hundred-days-and-waterloo"}, {"translated_youtube_id": "OcNt-36QKu8", "relative_url": "/video/trolls--tolls--and-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trolls--tolls--and-systems-of-equations", "duration": 411, "translated_title": "Trolls, tolls, and systems of equations", "translated_description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "id": "1095856196", "description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "title": "Trolls, tolls, and systems of equations", "progress_key": "v1095856196", "edit_slug": "edit/v/1095856196", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "extra_properties": null, "node_slug": "v/trolls--tolls--and-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-19T16:56:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.m3u8/OcNt-36QKu8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OcNt-36QKu8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095856196", "sha": "7c59d9f6f750f45278a5a799e7a28327f8ecae32", "translated_description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "image_url": "https://img.youtube.com/vi/OcNt-36QKu8/hqdefault.jpg", "youtube_id": "OcNt-36QKu8", "content_kind": "Video", "readable_id": "trolls--tolls--and-systems-of-equations"}, {"translated_youtube_id": "TLSYwkWCIzA", "relative_url": "/video/transfer-pricing-and-tax-havens", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/transfer-pricing-and-tax-havens", "duration": 407, "translated_title": "Transfer pricing and tax havens", "translated_description_html": "How a corporation can set up a tax haven and use it through transfer pricing.", "id": "1090948774", "description_html": "How a corporation can set up a tax haven and use it through transfer pricing.", "title": "Transfer pricing and tax havens", "progress_key": "v1090948774", "edit_slug": "edit/v/1090948774", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How a corporation can set up a tax haven and use it through transfer pricing.", "extra_properties": null, "node_slug": "v/transfer-pricing-and-tax-havens", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-17T00:08:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.m3u8/TLSYwkWCIzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TLSYwkWCIzA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1090948774", "sha": "7a0e9417cb6b79d9c7f4ef29f548b923e3ee1f07", "translated_description": "How a corporation can set up a tax haven and use it through transfer pricing.", "image_url": "https://img.youtube.com/vi/TLSYwkWCIzA/hqdefault.jpg", "youtube_id": "TLSYwkWCIzA", "content_kind": "Video", "readable_id": "transfer-pricing-and-tax-havens"}, {"translated_youtube_id": "RcLy8Cyxw2k", "relative_url": "/video/overview-of-khanacademy-org", "has_questions": false, "keywords": "KA, Walkthrough, 2012", "ka_url": "http://www.khanacademy.org/video/overview-of-khanacademy-org", "duration": 326, "translated_title": "Overview of KhanAcademy.org", "translated_description_html": "An overview of the different ways to use Khan Academy", "id": "1013985489", "description_html": "An overview of the different ways to use Khan Academy", "title": "Overview of KhanAcademy.org", "progress_key": "v1013985489", "edit_slug": "edit/v/1013985489", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An overview of the different ways to use Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/overview-of-khanacademy-org", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-31T01:17:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.mp4/RcLy8Cyxw2k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.mp4/RcLy8Cyxw2k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.m3u8/RcLy8Cyxw2k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RcLy8Cyxw2k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1013985489", "sha": "3a72ca4c0b7e5574f21bfb9b3a85185b83faf30b", "translated_description": "An overview of the different ways to use Khan Academy", "image_url": "https://img.youtube.com/vi/RcLy8Cyxw2k/hqdefault.jpg", "youtube_id": "RcLy8Cyxw2k", "content_kind": "Video", "readable_id": "overview-of-khanacademy-org"}, {"translated_youtube_id": "6bsu9w9iIQY", "relative_url": "/video/electrolye--temperature-test", "has_questions": false, "keywords": "electrolyte", "ka_url": "http://www.khanacademy.org/video/electrolye--temperature-test", "duration": 97, "translated_title": "Electrolyte (temperature test)", "translated_description_html": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "id": "xca214ba1", "description_html": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "title": "Electrolyte (temperature test)", "progress_key": "vxca214ba1", "edit_slug": "edit/v/xca214ba1", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrolye--temperature-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-20T15:47:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.mp4/6bsu9w9iIQY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.mp4/6bsu9w9iIQY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.m3u8/6bsu9w9iIQY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6bsu9w9iIQY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxca214ba1", "sha": "a5be6c87ed86735bb59dd78c223e415427b86617", "translated_description": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "image_url": "https://img.youtube.com/vi/6bsu9w9iIQY/hqdefault.jpg", "youtube_id": "6bsu9w9iIQY", "content_kind": "Video", "readable_id": "electrolye--temperature-test"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "new-and-noteworthy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:52:23Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax29232c6b", "topic_page_url": "/new-and-noteworthy", "extended_slug": "new-and-noteworthy", "slug": "new-and-noteworthy", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f5ead72090214ee3246929ba96e26fc1ae647489", "standalone_title": "New and noteworthy", "y_pos": 0.0, "current_revision_key": "f5ead72090214ee3246929ba96e26fc1ae647489", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Math", "translated_title": "Math", "gplus_url": "", "id": "x7a488390", "old_key_name": "e3SYrmOeI2k1VMkKFOBDFT_QYaZHAcQzQwghDY7p", "hide": false, "title": "Math", "child_data": [{"kind": "Topic", "id": "xc7f617f2"}, {"kind": "Topic", "id": "x5ec3eb59"}, {"kind": "Topic", "id": "xb830458a"}, {"kind": "Topic", "id": "x0267d782"}, {"kind": "Topic", "id": "x6b17ba59"}, {"kind": "Topic", "id": "x7c7044d7"}, {"kind": "Topic", "id": "x18ca194a"}, {"kind": "Topic", "id": "xcf876fe7"}, {"kind": "Topic", "id": "xff63fac4"}, {"kind": "Topic", "id": "xfa8fb333"}, {"kind": "Topic", "id": "xfefa5515"}, {"kind": "Topic", "id": "x786f2022"}, {"kind": "Topic", "id": "xa88397b6"}, {"kind": "Topic", "id": "x2bf234e8"}, {"kind": "Topic", "id": "xe2ae19cb"}, {"kind": "Topic", "id": "x06f0ee4c"}, {"kind": "Topic", "id": "xe7bbd8fa"}, {"kind": "Topic", "id": "x7626d097"}, {"kind": "Topic", "id": "xdb59ef23"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math", "translated_standalone_title": "3rd grade (U.S.)", "translated_title": "3rd grade (U.S.)", "gplus_url": "", "id": "xc7f617f2", "old_key_name": null, "hide": false, "title": "3rd grade (U.S.)", "child_data": [{"kind": "Topic", "id": "x4d345626"}, {"kind": "Topic", "id": "x149f953f"}, {"kind": "Topic", "id": "x63009ec3"}, {"kind": "Topic", "id": "x3b2192e4"}, {"kind": "Topic", "id": "xb514f3b9"}, {"kind": "Topic", "id": "x79d23611"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic", "translated_standalone_title": "Addition and subtraction", "translated_title": "Addition and subtraction", "gplus_url": "", "id": "x4d345626", "old_key_name": null, "hide": false, "title": "Addition and subtraction", "child_data": [{"kind": "Topic", "id": "xc8270b28"}, {"kind": "Topic", "id": "x0864da5f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-adding-carrying", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-adding-carrying", "translated_standalone_title": "Adding with carrying within 1000", "translated_title": "Adding with carrying within 1000", "gplus_url": "", "id": "xc8270b28", "old_key_name": null, "hide": false, "title": "Adding with carrying within 1000", "child_data": [{"kind": "Video", "id": "x4f015af1"}, {"kind": "Video", "id": "xdfab4268"}, {"kind": "Video", "id": "x09fc276e"}, {"kind": "Exercise", "id": 3003}], "children": [{"translated_youtube_id": "Wm0zq-NqEFs", "relative_url": "/video/carrying-when-adding-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carrying-when-adding-three-digit-numbers", "duration": 146, "translated_title": "Carrying when adding three digit numbers", "translated_description_html": "", "id": "x4f015af1", "description_html": "", "title": "Carrying when adding three digit numbers", "progress_key": "vx4f015af1", "edit_slug": "edit/v/x4f015af1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/carrying-when-adding-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.m3u8/Wm0zq-NqEFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wm0zq-NqEFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f015af1", "sha": "a581d324d93809de688ce80a2138bc75fda506c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/Wm0zq-NqEFs/hqdefault.jpg", "youtube_id": "Wm0zq-NqEFs", "content_kind": "Video", "readable_id": "carrying-when-adding-three-digit-numbers"}, {"translated_youtube_id": "O9zSHs1TWMM", "relative_url": "/video/why-carrying-works", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-carrying-works", "duration": 150, "translated_title": "Why carrying works", "translated_description_html": "", "id": "xdfab4268", "description_html": "", "title": "Why carrying works", "progress_key": "vxdfab4268", "edit_slug": "edit/v/xdfab4268", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/why-carrying-works", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.m3u8/O9zSHs1TWMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O9zSHs1TWMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfab4268", "sha": "8bccdd6aaef21b7c9e5205687c4d7eed91897154", "translated_description": "", "image_url": "https://img.youtube.com/vi/O9zSHs1TWMM/hqdefault.jpg", "youtube_id": "O9zSHs1TWMM", "content_kind": "Video", "readable_id": "why-carrying-works"}, {"translated_youtube_id": "9hM32lsQ4aI", "relative_url": "/video/example-adding-with-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-adding-with-carrying", "duration": 184, "translated_title": "Examples of carrying when adding three digit numbers", "translated_description_html": "", "id": "x09fc276e", "description_html": "", "title": "Examples of carrying when adding three digit numbers", "progress_key": "vx09fc276e", "edit_slug": "edit/v/x09fc276e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/example-adding-with-carrying", "deleted": false, "backup_timestamp": "2013-10-05T00:49:23Z", "date_added": "2013-10-05T00:49:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.m3u8/9hM32lsQ4aI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9hM32lsQ4aI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09fc276e", "sha": "1c65b328fe1fef1a407b3e5cc8bc134380219d67", "translated_description": "", "image_url": "https://img.youtube.com/vi/9hM32lsQ4aI/hqdefault.jpg", "youtube_id": "9hM32lsQ4aI", "content_kind": "Video", "readable_id": "example-adding-with-carrying"}], "twitter_url": "", "translated_description": "You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the \"ones place\". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.\n\nCommon Core Standard: 3.NBT.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the \"ones place\". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.\n\nCommon Core Standard: 3.NBT.A.2\t", "x_pos": 0.0, "node_slug": "cc-3rd-adding-carrying", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8270b28", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-adding-carrying", "extended_slug": "math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-adding-carrying", "slug": "cc-3rd-adding-carrying", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b7969659b9a3db8c843cdbfce6b9b2921fcdcd90", "standalone_title": "Adding with carrying within 1000", "y_pos": 0.0, "current_revision_key": "b7969659b9a3db8c843cdbfce6b9b2921fcdcd90", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig", "translated_standalone_title": "Using regrouping or borrowing to subtract 3 digit numbers", "translated_title": "Using regrouping or borrowing to subtract 3 digit numbers", "gplus_url": "", "id": "x0864da5f", "old_key_name": null, "hide": false, "title": "Using regrouping or borrowing to subtract 3 digit numbers", "child_data": [{"kind": "Video", "id": "x708f7c61"}, {"kind": "Video", "id": "x2ea1beb5"}, {"kind": "Video", "id": "x3d064c7e"}, {"kind": "Video", "id": "x3eaef2d6"}, {"kind": "Video", "id": "xc1b529a7"}], "children": [{"translated_youtube_id": "9T3AAn-Cw3g", "relative_url": "/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "duration": 167, "translated_title": "Basic regrouping or borrowing when subtracting three digit numbers", "translated_description_html": "", "id": "x708f7c61", "description_html": "", "title": "Basic regrouping or borrowing when subtracting three digit numbers", "progress_key": "vx708f7c61", "edit_slug": "edit/v/x708f7c61", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:07Z", "date_added": "2013-10-05T22:51:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.m3u8/9T3AAn-Cw3g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9T3AAn-Cw3g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx708f7c61", "sha": "b692d0472ea3fc98c8185e200a3ef9fc04dbecd4", "translated_description": "", "image_url": "https://img.youtube.com/vi/9T3AAn-Cw3g/hqdefault.jpg", "youtube_id": "9T3AAn-Cw3g", "content_kind": "Video", "readable_id": "basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "QOtam19NQcQ", "relative_url": "/video/regrouping-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-when-subtracting-three-digit-numbers", "duration": 200, "translated_title": "Regrouping when subtracting three digit numbers", "translated_description_html": "", "id": "x2ea1beb5", "description_html": "", "title": "Regrouping when subtracting three digit numbers", "progress_key": "vx2ea1beb5", "edit_slug": "edit/v/x2ea1beb5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.m3u8/QOtam19NQcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QOtam19NQcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2ea1beb5", "sha": "832cbfed728612b9ac79807cea8ba0d6e38ec348", "translated_description": "", "image_url": "https://img.youtube.com/vi/QOtam19NQcQ/hqdefault.jpg", "youtube_id": "QOtam19NQcQ", "content_kind": "Video", "readable_id": "regrouping-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "LSaaKau63Gg", "relative_url": "/video/regrouping-twice-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-twice-when-subtracting-three-digit-numbers", "duration": 228, "translated_title": "Regrouping twice when subtracting three digit numbers", "translated_description_html": "", "id": "x3d064c7e", "description_html": "", "title": "Regrouping twice when subtracting three digit numbers", "progress_key": "vx3d064c7e", "edit_slug": "edit/v/x3d064c7e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-twice-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.m3u8/LSaaKau63Gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSaaKau63Gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3d064c7e", "sha": "3af088b4697a127005c76f44c9c3231eeeb98e24", "translated_description": "", "image_url": "https://img.youtube.com/vi/LSaaKau63Gg/hqdefault.jpg", "youtube_id": "LSaaKau63Gg", "content_kind": "Video", "readable_id": "regrouping-twice-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "3lHBgFvr3yE", "relative_url": "/video/regrouping-from-0-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-from-0-when-subtracting-three-digit-numbers", "duration": 144, "translated_title": "Regrouping from 0 when subtracting three digit numbers", "translated_description_html": "", "id": "x3eaef2d6", "description_html": "", "title": "Regrouping from 0 when subtracting three digit numbers", "progress_key": "vx3eaef2d6", "edit_slug": "edit/v/x3eaef2d6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-from-0-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.m3u8/3lHBgFvr3yE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3lHBgFvr3yE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3eaef2d6", "sha": "3aca73f8431e7473c352f81cbadf6d3bf7aab340", "translated_description": "", "image_url": "https://img.youtube.com/vi/3lHBgFvr3yE/hqdefault.jpg", "youtube_id": "3lHBgFvr3yE", "content_kind": "Video", "readable_id": "regrouping-from-0-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "iivtjjdSu9I", "relative_url": "/video/mental-technique-for-subtraction-without-regrouping", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mental-technique-for-subtraction-without-regrouping", "duration": 157, "translated_title": "Mental technique for subtraction without regrouping", "translated_description_html": "", "id": "xc1b529a7", "description_html": "", "title": "Mental technique for subtraction without regrouping", "progress_key": "vxc1b529a7", "edit_slug": "edit/v/xc1b529a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/mental-technique-for-subtraction-without-regrouping", "deleted": false, "backup_timestamp": "2013-10-18T20:58:22Z", "date_added": "2013-10-18T20:58:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iivtjjdSu9I.mp4/iivtjjdSu9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iivtjjdSu9I.mp4/iivtjjdSu9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iivtjjdSu9I.m3u8/iivtjjdSu9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iivtjjdSu9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc1b529a7", "sha": "1b6bd28975b9f90c38200bc63421802e24a70a11", "translated_description": "", "image_url": "https://img.youtube.com/vi/iivtjjdSu9I/hqdefault.jpg", "youtube_id": "iivtjjdSu9I", "content_kind": "Video", "readable_id": "mental-technique-for-subtraction-without-regrouping"}], "twitter_url": "", "translated_description": "You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially \"regroup\" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like \"borrowing\" sugar from your neighbor in that you never give it back).\n\nCommon Core Standard: 3.NBT.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially \"regroup\" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like \"borrowing\" sugar from your neighbor in that you never give it back).\n\nCommon Core Standard: 3.NBT.A.2", "x_pos": 0.0, "node_slug": "cc-3rd-regrouping-3-dig", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0864da5f", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig", "extended_slug": "math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig", "slug": "cc-3rd-regrouping-3-dig", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dc85ab3381ffcbdc52cc02cd3399afd69286a90b", "standalone_title": "Using regrouping or borrowing to subtract 3 digit numbers", "y_pos": 0.0, "current_revision_key": "dc85ab3381ffcbdc52cc02cd3399afd69286a90b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "In the 2nd grade you learned to add and subtract 2-digit numbers. Now we take things further by adding and subtracting three-digit numbers. This is good practice for 4th grade where you'll be expected to add or subtract pretty much any whole number!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In the 2nd grade you learned to add and subtract 2-digit numbers. Now we take things further by adding and subtracting three-digit numbers. This is good practice for 4th grade where you'll be expected to add or subtract pretty much any whole number!", "x_pos": 0.0, "node_slug": "cc-3rd-add-sub-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d345626", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-add-sub-topic", "extended_slug": "math/cc-third-grade-math/cc-3rd-add-sub-topic", "slug": "cc-3rd-add-sub-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d4a6021619aae552db25ffb6b82d50a8142c1239", "standalone_title": "Addition and subtraction", "y_pos": 0.0, "current_revision_key": "d4a6021619aae552db25ffb6b82d50a8142c1239", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic", "translated_standalone_title": "Multiplication and division", "translated_title": "Multiplication and division", "gplus_url": "", "id": "x149f953f", "old_key_name": null, "hide": false, "title": "Multiplication and division", "child_data": [{"kind": "Topic", "id": "x12a9ac16"}, {"kind": "Topic", "id": "x83365e84"}, {"kind": "Topic", "id": "x3ba603bd"}, {"kind": "Topic", "id": "x3cfa9e4e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-multiplication-di", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-multiplication-di", "translated_standalone_title": "Concept of multiplication and division", "translated_title": "Concept of multiplication and division", "gplus_url": "", "id": "x12a9ac16", "old_key_name": null, "hide": false, "title": "Concept of multiplication and division", "child_data": [{"kind": "Video", "id": "xc95ed643"}, {"kind": "Video", "id": "x7ed86e1c"}, {"kind": "Video", "id": "x8a2da6f6"}, {"kind": "Video", "id": "xdba36435"}], "children": [{"translated_youtube_id": "RNxwasijbAo", "relative_url": "/video/multiplication-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-intro", "duration": 213, "translated_title": "Intro to multiplication", "translated_description_html": "", "id": "xc95ed643", "description_html": "", "title": "Intro to multiplication", "progress_key": "vxc95ed643", "edit_slug": "edit/v/xc95ed643", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplication-intro", "deleted": false, "backup_timestamp": "2013-10-02T04:59:24Z", "date_added": "2013-10-01T16:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.mp4/RNxwasijbAo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.mp4/RNxwasijbAo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.m3u8/RNxwasijbAo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RNxwasijbAo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc95ed643", "sha": "adcb3f4299145b6f1c208699038e6f8a04c5ec38", "translated_description": "", "image_url": "https://img.youtube.com/vi/RNxwasijbAo/hqdefault.jpg", "youtube_id": "RNxwasijbAo", "content_kind": "Video", "readable_id": "multiplication-intro"}, {"translated_youtube_id": "cDpBtkU2cf8", "relative_url": "/video/multiplication-as-groups-of-objects", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-as-groups-of-objects", "duration": 259, "translated_title": "Multiplication as groups of objects", "translated_description_html": "", "id": "x7ed86e1c", "description_html": "", "title": "Multiplication as groups of objects", "progress_key": "vx7ed86e1c", "edit_slug": "edit/v/x7ed86e1c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplication-as-groups-of-objects", "deleted": false, "backup_timestamp": "2013-09-30T18:25:08Z", "date_added": "2013-09-30T18:24:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.mp4/cDpBtkU2cf8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.mp4/cDpBtkU2cf8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.m3u8/cDpBtkU2cf8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cDpBtkU2cf8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7ed86e1c", "sha": "3ffa226ca38373bb6049cad2fe37e93fe0ba08a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/cDpBtkU2cf8/hqdefault.jpg", "youtube_id": "cDpBtkU2cf8", "content_kind": "Video", "readable_id": "multiplication-as-groups-of-objects"}, {"translated_youtube_id": "vfMx9-rJXuo", "relative_url": "/video/more-on-the-concept-of-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-on-the-concept-of-multiplication", "duration": 329, "translated_title": "More on the concept of multiplication", "translated_description_html": "", "id": "x8a2da6f6", "description_html": "", "title": "More on the concept of multiplication", "progress_key": "vx8a2da6f6", "edit_slug": "edit/v/x8a2da6f6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/more-on-the-concept-of-multiplication", "deleted": false, "backup_timestamp": "2013-09-30T18:25:08Z", "date_added": "2013-09-30T18:24:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.mp4/vfMx9-rJXuo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.mp4/vfMx9-rJXuo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.m3u8/vfMx9-rJXuo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vfMx9-rJXuo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8a2da6f6", "sha": "424cd621bd394b2d9b1f15b68fb27596f8361f83", "translated_description": "", "image_url": "https://img.youtube.com/vi/vfMx9-rJXuo/hqdefault.jpg", "youtube_id": "vfMx9-rJXuo", "content_kind": "Video", "readable_id": "more-on-the-concept-of-multiplication"}, {"translated_youtube_id": "QI6x0KNxiCs", "relative_url": "/video/the-idea-of-division", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-idea-of-division", "duration": 481, "translated_title": "The idea of division", "translated_description_html": "", "id": "xdba36435", "description_html": "", "title": "The idea of division", "progress_key": "vxdba36435", "edit_slug": "edit/v/xdba36435", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/the-idea-of-division", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-30T18:24:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.mp4/QI6x0KNxiCs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.mp4/QI6x0KNxiCs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.m3u8/QI6x0KNxiCs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QI6x0KNxiCs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdba36435", "sha": "8613193c6e61da39440512defa11f9accc37e059", "translated_description": "", "image_url": "https://img.youtube.com/vi/QI6x0KNxiCs/hqdefault.jpg", "youtube_id": "QI6x0KNxiCs", "content_kind": "Video", "readable_id": "the-idea-of-division"}], "twitter_url": "", "translated_description": "Let's introduce ourselves to two of the most fundamental ideas in all of mathematics: multiplication and division!\n\nCommon Core Standards: 3.OA.A.1, 3.OA.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's introduce ourselves to two of the most fundamental ideas in all of mathematics: multiplication and division!\n\nCommon Core Standards: 3.OA.A.1, 3.OA.A.2", "x_pos": 0.0, "node_slug": "cc-third-grade-multiplication-di", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12a9ac16", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-multiplication-di", "extended_slug": "math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-multiplication-di", "slug": "cc-third-grade-multiplication-di", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4204cbb99955054d1ba0770ac53d568bce636c8d", "standalone_title": "Concept of multiplication and division", "y_pos": 0.0, "current_revision_key": "4204cbb99955054d1ba0770ac53d568bce636c8d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div", "translated_standalone_title": "Thinking critically about multiplication and division", "translated_title": "Applying multiplication and division", "gplus_url": "", "id": "x83365e84", "old_key_name": null, "hide": false, "title": "Applying multiplication and division", "child_data": [{"kind": "Video", "id": "xbff3a5e3"}, {"kind": "Video", "id": "x3f583d87"}, {"kind": "Video", "id": "x81a72a3b"}, {"kind": "Video", "id": "xc7e67926"}, {"kind": "Exercise", "id": 237888351}, {"kind": "Video", "id": "x24620a06"}], "children": [{"translated_youtube_id": "MZEbWGhxEJE", "relative_url": "/video/how-many-cars-can-fit-in-the-parking-lot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-cars-can-fit-in-the-parking-lot", "duration": 126, "translated_title": "How many cars can fit in the parking lot", "translated_description_html": "", "id": "xbff3a5e3", "description_html": "", "title": "How many cars can fit in the parking lot", "progress_key": "vxbff3a5e3", "edit_slug": "edit/v/xbff3a5e3", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/how-many-cars-can-fit-in-the-parking-lot", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZEbWGhxEJE.mp4/MZEbWGhxEJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZEbWGhxEJE.mp4/MZEbWGhxEJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MZEbWGhxEJE.m3u8/MZEbWGhxEJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MZEbWGhxEJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbff3a5e3", "sha": "612e4c403cad92bf246ff4c63e05a9138cdeaa4a", "translated_description": "", "image_url": "https://img.youtube.com/vi/MZEbWGhxEJE/hqdefault.jpg", "youtube_id": "MZEbWGhxEJE", "content_kind": "Video", "readable_id": "how-many-cars-can-fit-in-the-parking-lot"}, {"translated_youtube_id": "6PzaHQllHaA", "relative_url": "/video/liters-of-soda-for-the-party", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/liters-of-soda-for-the-party", "duration": 132, "translated_title": "Liters of soda for the party", "translated_description_html": "", "id": "x3f583d87", "description_html": "", "title": "Liters of soda for the party", "progress_key": "vx3f583d87", "edit_slug": "edit/v/x3f583d87", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/liters-of-soda-for-the-party", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6PzaHQllHaA.mp4/6PzaHQllHaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6PzaHQllHaA.mp4/6PzaHQllHaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6PzaHQllHaA.m3u8/6PzaHQllHaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6PzaHQllHaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3f583d87", "sha": "22ef1fe4bddadb875a247b37c771e63757e7490d", "translated_description": "", "image_url": "https://img.youtube.com/vi/6PzaHQllHaA/hqdefault.jpg", "youtube_id": "6PzaHQllHaA", "content_kind": "Video", "readable_id": "liters-of-soda-for-the-party"}, {"translated_youtube_id": "7kW4Mjqs1UM", "relative_url": "/video/blueberries-for-friends", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/blueberries-for-friends", "duration": 243, "translated_title": "Blueberries for friends", "translated_description_html": "", "id": "x81a72a3b", "description_html": "", "title": "Blueberries for friends", "progress_key": "vx81a72a3b", "edit_slug": "edit/v/x81a72a3b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/blueberries-for-friends", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7kW4Mjqs1UM.mp4/7kW4Mjqs1UM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7kW4Mjqs1UM.mp4/7kW4Mjqs1UM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7kW4Mjqs1UM.m3u8/7kW4Mjqs1UM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7kW4Mjqs1UM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx81a72a3b", "sha": "6767a030485a13dacd3dcdb93359b3a2f4cd9af2", "translated_description": "", "image_url": "https://img.youtube.com/vi/7kW4Mjqs1UM/hqdefault.jpg", "youtube_id": "7kW4Mjqs1UM", "content_kind": "Video", "readable_id": "blueberries-for-friends"}, {"translated_youtube_id": "LGWUXVpwPDU", "relative_url": "/video/average-height-of-a-building-s-floor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/average-height-of-a-building-s-floor", "duration": 259, "translated_title": "Average height of a building's floor", "translated_description_html": "", "id": "xc7e67926", "description_html": "", "title": "Average height of a building's floor", "progress_key": "vxc7e67926", "edit_slug": "edit/v/xc7e67926", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/average-height-of-a-building-s-floor", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LGWUXVpwPDU.mp4/LGWUXVpwPDU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LGWUXVpwPDU.mp4/LGWUXVpwPDU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LGWUXVpwPDU.m3u8/LGWUXVpwPDU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LGWUXVpwPDU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc7e67926", "sha": "cd2ba2be5b5b1cc510fe6d80bd32233b10ec52c9", "translated_description": "", "image_url": "https://img.youtube.com/vi/LGWUXVpwPDU/hqdefault.jpg", "youtube_id": "LGWUXVpwPDU", "content_kind": "Video", "readable_id": "average-height-of-a-building-s-floor"}, {"translated_youtube_id": "93xzevZ9pjU", "relative_url": "/video/unknowns-with-multiplication-and-division", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unknowns-with-multiplication-and-division", "duration": 318, "translated_title": "Unknowns with multiplication and division", "translated_description_html": "", "id": "x24620a06", "description_html": "", "title": "Unknowns with multiplication and division", "progress_key": "vx24620a06", "edit_slug": "edit/v/x24620a06", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unknowns-with-multiplication-and-division", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/93xzevZ9pjU.mp4/93xzevZ9pjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/93xzevZ9pjU.mp4/93xzevZ9pjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/93xzevZ9pjU.m3u8/93xzevZ9pjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=93xzevZ9pjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx24620a06", "sha": "1ed9c27e857f5488c6ef8e0397dce0e71fc3dfbb", "translated_description": "", "image_url": "https://img.youtube.com/vi/93xzevZ9pjU/hqdefault.jpg", "youtube_id": "93xzevZ9pjU", "content_kind": "Video", "readable_id": "unknowns-with-multiplication-and-division"}], "twitter_url": "", "translated_description": "Let's now apply your new found understanding of multiplication and division!\n\nCommon Core Standards: 3.OA.A.3, 3.OA.A.4, 3.OA.B.6\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's now apply your new found understanding of multiplication and division!\n\nCommon Core Standards: 3.OA.A.3, 3.OA.A.4, 3.OA.B.6\t", "x_pos": 0.0, "node_slug": "cc-third-grade-applying-mult-div", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax83365e84", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div", "extended_slug": "math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div", "slug": "cc-third-grade-applying-mult-div", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "188cbbf7b9d136031838c92e921d33a2053c68de", "standalone_title": "Thinking critically about multiplication and division", "y_pos": 0.0, "current_revision_key": "188cbbf7b9d136031838c92e921d33a2053c68de", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems", "translated_standalone_title": "Multi-step word problems", "translated_title": "Two-step word problems", "gplus_url": "", "id": "x3ba603bd", "old_key_name": null, "hide": false, "title": "Two-step word problems", "child_data": [{"kind": "Video", "id": "xae55eaff"}, {"kind": "Video", "id": "xf88c185e"}, {"kind": "Video", "id": "x13aad4b7"}, {"kind": "Video", "id": "x48ea5d16"}], "children": [{"translated_youtube_id": "XAW9d3XU3qI", "relative_url": "/video/how-many-truffle-eating-guests-attended-a-party", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-truffle-eating-guests-attended-a-party", "duration": 300, "translated_title": "How many truffle eating guests attended a party", "translated_description_html": "", "id": "xae55eaff", "description_html": "", "title": "How many truffle eating guests attended a party", "progress_key": "vxae55eaff", "edit_slug": "edit/v/xae55eaff", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/how-many-truffle-eating-guests-attended-a-party", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XAW9d3XU3qI.mp4/XAW9d3XU3qI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XAW9d3XU3qI.mp4/XAW9d3XU3qI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XAW9d3XU3qI.m3u8/XAW9d3XU3qI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XAW9d3XU3qI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxae55eaff", "sha": "ec7a718f7787f339d459a0a636b64501e6bcf25b", "translated_description": "", "image_url": "https://img.youtube.com/vi/XAW9d3XU3qI/hqdefault.jpg", "youtube_id": "XAW9d3XU3qI", "content_kind": "Video", "readable_id": "how-many-truffle-eating-guests-attended-a-party"}, {"translated_youtube_id": "Wu1KO07WPkk", "relative_url": "/video/total-seats-in-a-theater", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/total-seats-in-a-theater", "duration": 181, "translated_title": "Total seats in a theater", "translated_description_html": "", "id": "xf88c185e", "description_html": "", "title": "Total seats in a theater", "progress_key": "vxf88c185e", "edit_slug": "edit/v/xf88c185e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/total-seats-in-a-theater", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wu1KO07WPkk.mp4/Wu1KO07WPkk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wu1KO07WPkk.mp4/Wu1KO07WPkk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wu1KO07WPkk.m3u8/Wu1KO07WPkk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wu1KO07WPkk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf88c185e", "sha": "dc8af29509e760937bfd271351217a8246308014", "translated_description": "", "image_url": "https://img.youtube.com/vi/Wu1KO07WPkk/hqdefault.jpg", "youtube_id": "Wu1KO07WPkk", "content_kind": "Video", "readable_id": "total-seats-in-a-theater"}, {"translated_youtube_id": "lhLVC1QB_kQ", "relative_url": "/video/marbles-for-friends", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/marbles-for-friends", "duration": 343, "translated_title": "Marbles for friends", "translated_description_html": "", "id": "x13aad4b7", "description_html": "", "title": "Marbles for friends", "progress_key": "vx13aad4b7", "edit_slug": "edit/v/x13aad4b7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/marbles-for-friends", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lhLVC1QB_kQ.mp4/lhLVC1QB_kQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lhLVC1QB_kQ.mp4/lhLVC1QB_kQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lhLVC1QB_kQ.m3u8/lhLVC1QB_kQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lhLVC1QB_kQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13aad4b7", "sha": "b9e891be33443f5615751d1bbb5a335d647b8cc1", "translated_description": "", "image_url": "https://img.youtube.com/vi/lhLVC1QB_kQ/hqdefault.jpg", "youtube_id": "lhLVC1QB_kQ", "content_kind": "Video", "readable_id": "marbles-for-friends"}, {"translated_youtube_id": "HL1wuw_k984", "relative_url": "/video/running-distance-in-a-week", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/running-distance-in-a-week", "duration": 212, "translated_title": "Running distance in a week", "translated_description_html": "", "id": "x48ea5d16", "description_html": "", "title": "Running distance in a week", "progress_key": "vx48ea5d16", "edit_slug": "edit/v/x48ea5d16", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/running-distance-in-a-week", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HL1wuw_k984.mp4/HL1wuw_k984.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HL1wuw_k984.mp4/HL1wuw_k984.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HL1wuw_k984.m3u8/HL1wuw_k984.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HL1wuw_k984&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx48ea5d16", "sha": "4af43c168405c0a313e01824e949414efd756345", "translated_description": "", "image_url": "https://img.youtube.com/vi/HL1wuw_k984/hqdefault.jpg", "youtube_id": "HL1wuw_k984", "content_kind": "Video", "readable_id": "running-distance-in-a-week"}], "twitter_url": "", "translated_description": "We are now going to solve real-world problems using multiple steps. Along the way, we'll be using letters to represent unknown quantities.\n\nCommon Core Standard: 3.OA.D.8", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We are now going to solve real-world problems using multiple steps. Along the way, we'll be using letters to represent unknown quantities.\n\nCommon Core Standard: 3.OA.D.8", "x_pos": 0.0, "node_slug": "cc-3rd-two-step-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ba603bd", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems", "extended_slug": "math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems", "slug": "cc-3rd-two-step-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "19797690023713a7d32f869bef6e9499582426ca", "standalone_title": "Multi-step word problems", "y_pos": 0.0, "current_revision_key": "19797690023713a7d32f869bef6e9499582426ca", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10", "translated_standalone_title": "Multiplying by 10", "translated_title": "Multiplying by 10", "gplus_url": "", "id": "x3cfa9e4e", "old_key_name": null, "hide": false, "title": "Multiplying by 10", "child_data": [{"kind": "Video", "id": "x74731bad"}, {"kind": "Exercise", "id": 3006}], "children": [{"translated_youtube_id": "jb8mFpA1YI8", "relative_url": "/video/multiplying-by-multiples-of-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-by-multiples-of-10", "duration": 185, "translated_title": "Multiplying by multiples of 10", "translated_description_html": "", "id": "x74731bad", "description_html": "", "title": "Multiplying by multiples of 10", "progress_key": "vx74731bad", "edit_slug": "edit/v/x74731bad", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-by-multiples-of-10", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-09T14:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.mp4/jb8mFpA1YI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.mp4/jb8mFpA1YI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.m3u8/jb8mFpA1YI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jb8mFpA1YI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx74731bad", "sha": "e640ace76fa6598d75b4b45585ce209412d4a27f", "translated_description": "", "image_url": "https://img.youtube.com/vi/jb8mFpA1YI8/hqdefault.jpg", "youtube_id": "jb8mFpA1YI8", "content_kind": "Video", "readable_id": "multiplying-by-multiples-of-10"}], "twitter_url": "", "translated_description": "As we'll see in this tutorial, multiplying a multiple of 10--like 10, 20, 30, 40, etc.--by a single digit number is not too much more complicated.\n\nCommon Core Standard: 3.NBT.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "As we'll see in this tutorial, multiplying a multiple of 10--like 10, 20, 30, 40, etc.--by a single digit number is not too much more complicated.\n\nCommon Core Standard: 3.NBT.A.3", "x_pos": 0.0, "node_slug": "cc-3rd-grade-multiplying-by-10", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3cfa9e4e", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10", "extended_slug": "math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10", "slug": "cc-3rd-grade-multiplying-by-10", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3129b8bba3e56793e7c74749d511b84681cafb1c", "standalone_title": "Multiplying by 10", "y_pos": 0.0, "current_revision_key": "3129b8bba3e56793e7c74749d511b84681cafb1c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Multiplication and division are two of the most important operations to understand in math. If you drink 2 cups of water, 5 times, how much water have you drunk? If you need to divide 9 slices of cake between 3 friends, how much cake does each friend get? ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Multiplication and division are two of the most important operations to understand in math. If you drink 2 cups of water, 5 times, how much water have you drunk? If you need to divide 9 slices of cake between 3 friends, how much cake does each friend get? ", "x_pos": 0.0, "node_slug": "cc-3rd-mult-div-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax149f953f", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-mult-div-topic", "extended_slug": "math/cc-third-grade-math/cc-3rd-mult-div-topic", "slug": "cc-3rd-mult-div-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de625dd576a6b031d5d535eeb31b9f6ed7446b2d", "standalone_title": "Multiplication and division", "y_pos": 0.0, "current_revision_key": "de625dd576a6b031d5d535eeb31b9f6ed7446b2d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic", "translated_standalone_title": "Fractions", "translated_title": "Fractions", "gplus_url": "", "id": "x63009ec3", "old_key_name": null, "hide": false, "title": "Fractions", "child_data": [{"kind": "Topic", "id": "xc863ef59"}, {"kind": "Topic", "id": "x60e527aa"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning", "translated_standalone_title": "What fractions mean", "translated_title": "What fractions mean", "gplus_url": "", "id": "xc863ef59", "old_key_name": null, "hide": false, "title": "What fractions mean", "child_data": [{"kind": "Video", "id": "xd2b0fcb4"}, {"kind": "Video", "id": "xad9570c4"}, {"kind": "Video", "id": "x1ddd8809"}], "children": [{"translated_youtube_id": "jgWqSjgMAtw", "relative_url": "/video/fraction-basics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fraction-basics", "duration": 255, "translated_title": "Fraction basics", "translated_description_html": "", "id": "xd2b0fcb4", "description_html": "", "title": "Fraction basics", "progress_key": "vxd2b0fcb4", "edit_slug": "edit/v/xd2b0fcb4", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fraction-basics", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jgWqSjgMAtw.mp4/jgWqSjgMAtw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jgWqSjgMAtw.mp4/jgWqSjgMAtw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jgWqSjgMAtw.m3u8/jgWqSjgMAtw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jgWqSjgMAtw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd2b0fcb4", "sha": "8b8d0c2a103f882cc492bf661917cec5a3fa84c5", "translated_description": "", "image_url": "https://img.youtube.com/vi/jgWqSjgMAtw/hqdefault.jpg", "youtube_id": "jgWqSjgMAtw", "content_kind": "Video", "readable_id": "fraction-basics"}, {"translated_youtube_id": "U44my48zgFE", "relative_url": "/video/more-than-one-equal-section", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-than-one-equal-section", "duration": 228, "translated_title": "More than one equal section", "translated_description_html": "", "id": "xad9570c4", "description_html": "", "title": "More than one equal section", "progress_key": "vxad9570c4", "edit_slug": "edit/v/xad9570c4", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/more-than-one-equal-section", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U44my48zgFE.mp4/U44my48zgFE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U44my48zgFE.mp4/U44my48zgFE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U44my48zgFE.m3u8/U44my48zgFE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U44my48zgFE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxad9570c4", "sha": "839f515218c16f1f26200a27e041a30856e99fc8", "translated_description": "", "image_url": "https://img.youtube.com/vi/U44my48zgFE/hqdefault.jpg", "youtube_id": "U44my48zgFE", "content_kind": "Video", "readable_id": "more-than-one-equal-section"}, {"translated_youtube_id": "Z0WsfO-RI8Y", "relative_url": "/video/fractions-on-a-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-on-a-number-line", "duration": 256, "translated_title": "Fractions on a number line", "translated_description_html": "", "id": "x1ddd8809", "description_html": "", "title": "Fractions on a number line", "progress_key": "vx1ddd8809", "edit_slug": "edit/v/x1ddd8809", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fractions-on-a-number-line", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z0WsfO-RI8Y.mp4/Z0WsfO-RI8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z0WsfO-RI8Y.mp4/Z0WsfO-RI8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z0WsfO-RI8Y.m3u8/Z0WsfO-RI8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z0WsfO-RI8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1ddd8809", "sha": "33d3070030268ed5a7a9d47f30d4429882336a08", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z0WsfO-RI8Y/hqdefault.jpg", "youtube_id": "Z0WsfO-RI8Y", "content_kind": "Video", "readable_id": "fractions-on-a-number-line"}], "twitter_url": "", "translated_description": "If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter. Good thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).\n\nCommon Core Standards: 3.NF.A.1, 3.NF.A.2, 3.NF.A.2a, 3.NF.A.2b\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter. Good thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).\n\nCommon Core Standards: 3.NF.A.1, 3.NF.A.2, 3.NF.A.2a, 3.NF.A.2b\t", "x_pos": 0.0, "node_slug": "cc-3rd-fractions-meaning", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc863ef59", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning", "extended_slug": "math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning", "slug": "cc-3rd-fractions-meaning", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "32efcceb172ff97f4e3f999e415e3934540862ae", "standalone_title": "What fractions mean", "y_pos": 0.0, "current_revision_key": "32efcceb172ff97f4e3f999e415e3934540862ae", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions", "translated_standalone_title": "Comparing fractions", "translated_title": "Comparing fractions", "gplus_url": "", "id": "x60e527aa", "old_key_name": null, "hide": false, "title": "Comparing fractions", "child_data": [{"kind": "Video", "id": "x64023b83"}, {"kind": "Video", "id": "x36c84617"}, {"kind": "Video", "id": "x01f3bd7f"}, {"kind": "Video", "id": "x4e79e194"}, {"kind": "Video", "id": "xdc99d792"}, {"kind": "Video", "id": "x99037b55"}, {"kind": "Video", "id": "x241a33b1"}, {"kind": "Exercise", "id": 196041692}], "children": [{"translated_youtube_id": "Su4DKLbK8mA", "relative_url": "/video/equivalent-fractions-visually-and-on-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fractions-visually-and-on-number-line", "duration": 242, "translated_title": "Equivalent fractions visually and on number line", "translated_description_html": "", "id": "x64023b83", "description_html": "", "title": "Equivalent fractions visually and on number line", "progress_key": "vx64023b83", "edit_slug": "edit/v/x64023b83", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/equivalent-fractions-visually-and-on-number-line", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Su4DKLbK8mA.mp4/Su4DKLbK8mA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Su4DKLbK8mA.mp4/Su4DKLbK8mA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Su4DKLbK8mA.m3u8/Su4DKLbK8mA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Su4DKLbK8mA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx64023b83", "sha": "dde97939446b80f1eac097b06e7260b82481aa2e", "translated_description": "", "image_url": "https://img.youtube.com/vi/Su4DKLbK8mA/hqdefault.jpg", "youtube_id": "Su4DKLbK8mA", "content_kind": "Video", "readable_id": "equivalent-fractions-visually-and-on-number-line"}, {"translated_youtube_id": "Kt7Dwr7BftE", "relative_url": "/video/comparing-fractions-visually-and-on-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-visually-and-on-number-line", "duration": 283, "translated_title": "Comparing fractions visually and on number line", "translated_description_html": "", "id": "x36c84617", "description_html": "", "title": "Comparing fractions visually and on number line", "progress_key": "vx36c84617", "edit_slug": "edit/v/x36c84617", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-fractions-visually-and-on-number-line", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kt7Dwr7BftE.mp4/Kt7Dwr7BftE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kt7Dwr7BftE.mp4/Kt7Dwr7BftE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kt7Dwr7BftE.m3u8/Kt7Dwr7BftE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kt7Dwr7BftE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx36c84617", "sha": "a10e17850793768108fbe6f98687f3bdd6913476", "translated_description": "", "image_url": "https://img.youtube.com/vi/Kt7Dwr7BftE/hqdefault.jpg", "youtube_id": "Kt7Dwr7BftE", "content_kind": "Video", "readable_id": "comparing-fractions-visually-and-on-number-line"}, {"translated_youtube_id": "-YpEkExjq2E", "relative_url": "/video/generating-equivalent-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/generating-equivalent-fractions", "duration": 252, "translated_title": "Generating equivalent fractions", "translated_description_html": "", "id": "x01f3bd7f", "description_html": "", "title": "Generating equivalent fractions", "progress_key": "vx01f3bd7f", "edit_slug": "edit/v/x01f3bd7f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/generating-equivalent-fractions", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-YpEkExjq2E.mp4/-YpEkExjq2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-YpEkExjq2E.mp4/-YpEkExjq2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-YpEkExjq2E.m3u8/-YpEkExjq2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-YpEkExjq2E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx01f3bd7f", "sha": "ff55e9715cc0db2023b3d4c0c0d9d7907f6d9147", "translated_description": "", "image_url": "https://img.youtube.com/vi/-YpEkExjq2E/hqdefault.jpg", "youtube_id": "-YpEkExjq2E", "content_kind": "Video", "readable_id": "generating-equivalent-fractions"}, {"translated_youtube_id": "dviyBH3pOk8", "relative_url": "/video/different-ways-to-represent-1-as-a-fraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/different-ways-to-represent-1-as-a-fraction", "duration": 226, "translated_title": "Different ways to represent 1 as a fraction", "translated_description_html": "", "id": "x4e79e194", "description_html": "", "title": "Different ways to represent 1 as a fraction", "progress_key": "vx4e79e194", "edit_slug": "edit/v/x4e79e194", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/different-ways-to-represent-1-as-a-fraction", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dviyBH3pOk8.mp4/dviyBH3pOk8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dviyBH3pOk8.mp4/dviyBH3pOk8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dviyBH3pOk8.m3u8/dviyBH3pOk8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dviyBH3pOk8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4e79e194", "sha": "e57cd4264930b43a0beb564d62bb7c4f2496817d", "translated_description": "", "image_url": "https://img.youtube.com/vi/dviyBH3pOk8/hqdefault.jpg", "youtube_id": "dviyBH3pOk8", "content_kind": "Video", "readable_id": "different-ways-to-represent-1-as-a-fraction"}, {"translated_youtube_id": "3OFH8OhpN08", "relative_url": "/video/whole-numbers-as-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/whole-numbers-as-fractions", "duration": 263, "translated_title": "Whole numbers as fractions", "translated_description_html": "", "id": "xdc99d792", "description_html": "", "title": "Whole numbers as fractions", "progress_key": "vxdc99d792", "edit_slug": "edit/v/xdc99d792", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/whole-numbers-as-fractions", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3OFH8OhpN08.mp4/3OFH8OhpN08.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3OFH8OhpN08.mp4/3OFH8OhpN08.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3OFH8OhpN08.m3u8/3OFH8OhpN08.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3OFH8OhpN08&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdc99d792", "sha": "10582557627d972a6f6a0f63e5cc10723321325a", "translated_description": "", "image_url": "https://img.youtube.com/vi/3OFH8OhpN08/hqdefault.jpg", "youtube_id": "3OFH8OhpN08", "content_kind": "Video", "readable_id": "whole-numbers-as-fractions"}, {"translated_youtube_id": "8OKTrN0uT-Q", "relative_url": "/video/comparing-fractions-with-greater-than-and-less-than-symbols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-with-greater-than-and-less-than-symbols", "duration": 319, "translated_title": "Comparing fractions with greater than and less than symbols", "translated_description_html": "", "id": "x99037b55", "description_html": "", "title": "Comparing fractions with greater than and less than symbols", "progress_key": "vx99037b55", "edit_slug": "edit/v/x99037b55", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-fractions-with-greater-than-and-less-than-symbols", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.mp4/8OKTrN0uT-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.mp4/8OKTrN0uT-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.m3u8/8OKTrN0uT-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8OKTrN0uT-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx99037b55", "sha": "073feea628202916da5e94023f8736d743e7f1bc", "translated_description": "", "image_url": "https://img.youtube.com/vi/8OKTrN0uT-Q/hqdefault.jpg", "youtube_id": "8OKTrN0uT-Q", "content_kind": "Video", "readable_id": "comparing-fractions-with-greater-than-and-less-than-symbols"}, {"translated_youtube_id": "xRzZuhWSlb8", "relative_url": "/video/comparing-fractions-of-different-wholes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-of-different-wholes", "duration": 179, "translated_title": "Comparing fractions of different wholes", "translated_description_html": "", "id": "x241a33b1", "description_html": "", "title": "Comparing fractions of different wholes", "progress_key": "vx241a33b1", "edit_slug": "edit/v/x241a33b1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-fractions-of-different-wholes", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xRzZuhWSlb8.mp4/xRzZuhWSlb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xRzZuhWSlb8.mp4/xRzZuhWSlb8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xRzZuhWSlb8.m3u8/xRzZuhWSlb8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xRzZuhWSlb8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx241a33b1", "sha": "3922718276c64ba6fee0e235632c29fd0310a882", "translated_description": "", "image_url": "https://img.youtube.com/vi/xRzZuhWSlb8/hqdefault.jpg", "youtube_id": "xRzZuhWSlb8", "content_kind": "Video", "readable_id": "comparing-fractions-of-different-wholes"}], "twitter_url": "", "translated_description": "There are literally infinite ways to represent any fraction (or number for that matter). Don't believe us? Let's take 1/3. 2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)! \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!\n\nCommon Core Standards: 3.NF.A.3, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c\t, 3.NF.A.3d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "There are literally infinite ways to represent any fraction (or number for that matter). Don't believe us? Let's take 1/3. 2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)! \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!\n\nCommon Core Standards: 3.NF.A.3, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c\t, 3.NF.A.3d", "x_pos": 0.0, "node_slug": "cc-3rd-comparing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax60e527aa", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions", "extended_slug": "math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions", "slug": "cc-3rd-comparing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6eb0d8a34974ed8d094d2b2a07d1742f683099be", "standalone_title": "Comparing fractions", "y_pos": 0.0, "current_revision_key": "6eb0d8a34974ed8d094d2b2a07d1742f683099be", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This will be your first introduction to the idea of fractions. You'll learn what they are and what they can represent. Then in 4th and 5th grades, you'll learn to compute with them.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This will be your first introduction to the idea of fractions. You'll learn what they are and what they can represent. Then in 4th and 5th grades, you'll learn to compute with them.", "x_pos": 0.0, "node_slug": "cc-3rd-fractions-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax63009ec3", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-fractions-topic", "extended_slug": "math/cc-third-grade-math/cc-3rd-fractions-topic", "slug": "cc-3rd-fractions-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "acc9f54b9e5db98a7fa4e18274a704b150dcdf92", "standalone_title": "Fractions", "y_pos": 0.0, "current_revision_key": "acc9f54b9e5db98a7fa4e18274a704b150dcdf92", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-third-grade-measurement", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement", "translated_standalone_title": "Measurement and geometry", "translated_title": "Measurement and geometry", "gplus_url": "", "id": "x3b2192e4", "old_key_name": null, "hide": false, "title": "Measurement and geometry", "child_data": [{"kind": "Topic", "id": "xb553df9d"}, {"kind": "Topic", "id": "xd2b716c2"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area", "translated_standalone_title": "Area", "translated_title": "Area", "gplus_url": "", "id": "xb553df9d", "old_key_name": null, "hide": false, "title": "Area", "child_data": [{"kind": "Video", "id": "xb38a362a"}, {"kind": "Video", "id": "x7a6c7a4f"}, {"kind": "Video", "id": "xc5977d8a"}, {"kind": "Exercise", "id": 898677597}, {"kind": "Exercise", "id": 720749512}, {"kind": "Video", "id": "x14be1b3c"}, {"kind": "Video", "id": "x73ba0104"}, {"kind": "Video", "id": "xddaf6f91"}], "children": [{"translated_youtube_id": "A7zPgMV4eTM", "relative_url": "/video/introduction-to-area-and-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-area-and-unit-squares", "duration": 257, "translated_title": "Introduction to area and unit squares", "translated_description_html": "", "id": "xb38a362a", "description_html": "", "title": "Introduction to area and unit squares", "progress_key": "vxb38a362a", "edit_slug": "edit/v/xb38a362a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-area-and-unit-squares", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.mp4/A7zPgMV4eTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.mp4/A7zPgMV4eTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.m3u8/A7zPgMV4eTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A7zPgMV4eTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb38a362a", "sha": "9af7dfbdedcabf95a7148c04b3a0d1b50a5a54e2", "translated_description": "", "image_url": "https://img.youtube.com/vi/A7zPgMV4eTM/hqdefault.jpg", "youtube_id": "A7zPgMV4eTM", "content_kind": "Video", "readable_id": "introduction-to-area-and-unit-squares"}, {"translated_youtube_id": "O1R4H3Ca82E", "relative_url": "/video/measuring-the-same-rectangle-with-different-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-the-same-rectangle-with-different-unit-squares", "duration": 224, "translated_title": "Measuring the same rectangle with different unit squares", "translated_description_html": "", "id": "x7a6c7a4f", "description_html": "", "title": "Measuring the same rectangle with different unit squares", "progress_key": "vx7a6c7a4f", "edit_slug": "edit/v/x7a6c7a4f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-the-same-rectangle-with-different-unit-squares", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.mp4/O1R4H3Ca82E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.mp4/O1R4H3Ca82E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.m3u8/O1R4H3Ca82E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O1R4H3Ca82E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7a6c7a4f", "sha": "14e33b06591e045809efc6421fc0c46716d170a3", "translated_description": "", "image_url": "https://img.youtube.com/vi/O1R4H3Ca82E/hqdefault.jpg", "youtube_id": "O1R4H3Ca82E", "content_kind": "Video", "readable_id": "measuring-the-same-rectangle-with-different-unit-squares"}, {"translated_youtube_id": "DRg2VCo8lP0", "relative_url": "/video/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "duration": 320, "translated_title": "Rectangle area as product of dimensions same as counting unit squares", "translated_description_html": "", "id": "xc5977d8a", "description_html": "", "title": "Rectangle area as product of dimensions same as counting unit squares", "progress_key": "vxc5977d8a", "edit_slug": "edit/v/xc5977d8a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.mp4/DRg2VCo8lP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.mp4/DRg2VCo8lP0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.m3u8/DRg2VCo8lP0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DRg2VCo8lP0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc5977d8a", "sha": "9435939ae09bf5f73bc8905dda74c6e767b1314b", "translated_description": "", "image_url": "https://img.youtube.com/vi/DRg2VCo8lP0/hqdefault.jpg", "youtube_id": "DRg2VCo8lP0", "content_kind": "Video", "readable_id": "rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares"}, {"translated_youtube_id": "Q3wfb0CPhIY", "relative_url": "/video/area-of-rectangles-and-the-distributive-property", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-rectangles-and-the-distributive-property", "duration": 229, "translated_title": "Area of rectangles and the distributive property", "translated_description_html": "", "id": "x14be1b3c", "description_html": "", "title": "Area of rectangles and the distributive property", "progress_key": "vx14be1b3c", "edit_slug": "edit/v/x14be1b3c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-of-rectangles-and-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.mp4/Q3wfb0CPhIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.mp4/Q3wfb0CPhIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.m3u8/Q3wfb0CPhIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q3wfb0CPhIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14be1b3c", "sha": "615cf20bb493692263aa30f465bfede417d3c4cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q3wfb0CPhIY/hqdefault.jpg", "youtube_id": "Q3wfb0CPhIY", "content_kind": "Video", "readable_id": "area-of-rectangles-and-the-distributive-property"}, {"translated_youtube_id": "ArvnBba_ogI", "relative_url": "/video/comparing-areas-of-plots-of-land", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-areas-of-plots-of-land", "duration": 166, "translated_title": "Comparing areas of plots of land", "translated_description_html": "", "id": "x73ba0104", "description_html": "", "title": "Comparing areas of plots of land", "progress_key": "vx73ba0104", "edit_slug": "edit/v/x73ba0104", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-areas-of-plots-of-land", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.mp4/ArvnBba_ogI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.mp4/ArvnBba_ogI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.m3u8/ArvnBba_ogI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ArvnBba_ogI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx73ba0104", "sha": "e61f22f6f06280dc2678e7caff9853171ec436fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/ArvnBba_ogI/hqdefault.jpg", "youtube_id": "ArvnBba_ogI", "content_kind": "Video", "readable_id": "comparing-areas-of-plots-of-land"}, {"translated_youtube_id": "xo4VpX2IIMk", "relative_url": "/video/calculating-the-square-footage-of-a-house", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-the-square-footage-of-a-house", "duration": 364, "translated_title": "Calculating the square footage of a house", "translated_description_html": "", "id": "xddaf6f91", "description_html": "", "title": "Calculating the square footage of a house", "progress_key": "vxddaf6f91", "edit_slug": "edit/v/xddaf6f91", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/calculating-the-square-footage-of-a-house", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.mp4/xo4VpX2IIMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.mp4/xo4VpX2IIMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.m3u8/xo4VpX2IIMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xo4VpX2IIMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxddaf6f91", "sha": "21bc0a6081a4eefa37e3f1cda3336dc8a8a87599", "translated_description": "", "image_url": "https://img.youtube.com/vi/xo4VpX2IIMk/hqdefault.jpg", "youtube_id": "xo4VpX2IIMk", "content_kind": "Video", "readable_id": "calculating-the-square-footage-of-a-house"}], "twitter_url": "", "translated_description": "Area is how we think about how much space something takes in two dimensions, such as comparing how much land one property takes up versus another. In this tutorial, we'll take a conceptual look at how area is actually measured (especially for rectangles).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Area is how we think about how much space something takes in two dimensions, such as comparing how much land one property takes up versus another. In this tutorial, we'll take a conceptual look at how area is actually measured (especially for rectangles).", "x_pos": 0.0, "node_slug": "cc-third-grade-area", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb553df9d", "topic_page_url": "/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area", "extended_slug": "math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area", "slug": "cc-third-grade-area", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4056eb2d94490e6faed3846c7568b5ce7a0ac824", "standalone_title": "Area", "y_pos": 0.0, "current_revision_key": "4056eb2d94490e6faed3846c7568b5ce7a0ac824", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter", "translated_standalone_title": "Perimeter", "translated_title": "Perimeter", "gplus_url": "", "id": "xd2b716c2", "old_key_name": null, "hide": false, "title": "Perimeter", "child_data": [{"kind": "Video", "id": "x4557edbe"}, {"kind": "Video", "id": "xd4586b32"}, {"kind": "Exercise", "id": 840068734}, {"kind": "Exercise", "id": 720553954}, {"kind": "Video", "id": "x48f720c6"}], "children": [{"translated_youtube_id": "9uwLgf84p5w", "relative_url": "/video/introduction-to-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-perimeter", "duration": 201, "translated_title": "Introduction to perimeter", "translated_description_html": "", "id": "x4557edbe", "description_html": "", "title": "Introduction to perimeter", "progress_key": "vx4557edbe", "edit_slug": "edit/v/x4557edbe", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-perimeter", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2013-09-28T01:22:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.mp4/9uwLgf84p5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.mp4/9uwLgf84p5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.m3u8/9uwLgf84p5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9uwLgf84p5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4557edbe", "sha": "82195c1fcdfea599e22efea1c02dd46c3e256d13", "translated_description": "", "image_url": "https://img.youtube.com/vi/9uwLgf84p5w/hqdefault.jpg", "youtube_id": "9uwLgf84p5w", "content_kind": "Video", "readable_id": "introduction-to-perimeter"}, {"translated_youtube_id": "sJmLjUj_h68", "relative_url": "/video/perimeter-of-a-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/perimeter-of-a-shape", "duration": 123, "translated_title": "Perimeter of a shape", "translated_description_html": "", "id": "xd4586b32", "description_html": "", "title": "Perimeter of a shape", "progress_key": "vxd4586b32", "edit_slug": "edit/v/xd4586b32", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/perimeter-of-a-shape", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-08-02T22:23:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.mp4/sJmLjUj_h68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.mp4/sJmLjUj_h68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.m3u8/sJmLjUj_h68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sJmLjUj_h68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd4586b32", "sha": "afe41b8675a8360ad408269d33cd96170c545497", "translated_description": "", "image_url": "https://img.youtube.com/vi/sJmLjUj_h68/hqdefault.jpg", "youtube_id": "sJmLjUj_h68", "content_kind": "Video", "readable_id": "perimeter-of-a-shape"}, {"translated_youtube_id": "nLY2bzRfQyo", "relative_url": "/video/comparing-area-and-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-area-and-perimeter", "duration": 334, "translated_title": "Comparing areas and perimeters of rectangles", "translated_description_html": "", "id": "x48f720c6", "description_html": "", "title": "Comparing areas and perimeters of rectangles", "progress_key": "vx48f720c6", "edit_slug": "edit/v/x48f720c6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-area-and-perimeter", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-30T15:49:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.mp4/nLY2bzRfQyo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.mp4/nLY2bzRfQyo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.m3u8/nLY2bzRfQyo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nLY2bzRfQyo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx48f720c6", "sha": "373ced412df441ee49f83eec1d44061dcf527470", "translated_description": "", "image_url": "https://img.youtube.com/vi/nLY2bzRfQyo/hqdefault.jpg", "youtube_id": "nLY2bzRfQyo", "content_kind": "Video", "readable_id": "comparing-area-and-perimeter"}], "twitter_url": "", "translated_description": "Have you ever wondered how much fencing you need to surround a plot of land? No? Well, you should still go through this tutorial just in case. You'll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Have you ever wondered how much fencing you need to surround a plot of land? No? Well, you should still go through this tutorial just in case. You'll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.", "x_pos": 0.0, "node_slug": "cc-third-grade-perimeter", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd2b716c2", "topic_page_url": "/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter", "extended_slug": "math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter", "slug": "cc-third-grade-perimeter", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "258ddcdecaab3e6385b3a3ea89cfd423782de2f9", "standalone_title": "Perimeter", "y_pos": 0.0, "current_revision_key": "258ddcdecaab3e6385b3a3ea89cfd423782de2f9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "In 2nd grade, you learned to measure lengths. Now we can measure the length around the edge of an object (perimeter) and how much \"space\" something takes up on a flat surface (area).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In 2nd grade, you learned to measure lengths. Now we can measure the length around the edge of an object (perimeter) and how much \"space\" something takes up on a flat surface (area).", "x_pos": 0.0, "node_slug": "cc-third-grade-measurement", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3b2192e4", "topic_page_url": "/math/cc-third-grade-math/cc-third-grade-measurement", "extended_slug": "math/cc-third-grade-math/cc-third-grade-measurement", "slug": "cc-third-grade-measurement", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e4326dbc760cbfcc57afcf52f52afeb3043de430", "standalone_title": "Measurement and geometry", "y_pos": 0.0, "current_revision_key": "e4326dbc760cbfcc57afcf52f52afeb3043de430", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-place-value-rounding", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding", "translated_standalone_title": "Place value and rounding", "translated_title": "Place value and rounding", "gplus_url": "", "id": "xb514f3b9", "old_key_name": null, "hide": false, "title": "Place value and rounding", "child_data": [{"kind": "Topic", "id": "x094c347d"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding", "translated_standalone_title": "Rounding", "translated_title": "Rounding", "gplus_url": "", "id": "x094c347d", "old_key_name": null, "hide": false, "title": "Rounding", "child_data": [{"kind": "Video", "id": "xd886d7e1"}, {"kind": "Video", "id": "xace78db7"}, {"kind": "Video", "id": "x28bac6f5"}], "children": [{"translated_youtube_id": "w2M5CzTFYfI", "relative_url": "/video/rounding-to-the-nearest-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rounding-to-the-nearest-10", "duration": 382, "translated_title": "Rounding to the nearest 10", "translated_description_html": "", "id": "xd886d7e1", "description_html": "", "title": "Rounding to the nearest 10", "progress_key": "vxd886d7e1", "edit_slug": "edit/v/xd886d7e1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rounding-to-the-nearest-10", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w2M5CzTFYfI.mp4/w2M5CzTFYfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w2M5CzTFYfI.mp4/w2M5CzTFYfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w2M5CzTFYfI.m3u8/w2M5CzTFYfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w2M5CzTFYfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd886d7e1", "sha": "e35ad036f2c6fd651c4a7e4004335d4252076ac5", "translated_description": "", "image_url": "https://img.youtube.com/vi/w2M5CzTFYfI/hqdefault.jpg", "youtube_id": "w2M5CzTFYfI", "content_kind": "Video", "readable_id": "rounding-to-the-nearest-10"}, {"translated_youtube_id": "19yOv4P2ccw", "relative_url": "/video/rounding-to-the-nearest-100", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rounding-to-the-nearest-100", "duration": 296, "translated_title": "Rounding to the nearest 100", "translated_description_html": "", "id": "xace78db7", "description_html": "", "title": "Rounding to the nearest 100", "progress_key": "vxace78db7", "edit_slug": "edit/v/xace78db7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rounding-to-the-nearest-100", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/19yOv4P2ccw.mp4/19yOv4P2ccw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/19yOv4P2ccw.mp4/19yOv4P2ccw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/19yOv4P2ccw.m3u8/19yOv4P2ccw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=19yOv4P2ccw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxace78db7", "sha": "f6a5b81718d6ba41559517a7a663e2a0ea03644a", "translated_description": "", "image_url": "https://img.youtube.com/vi/19yOv4P2ccw/hqdefault.jpg", "youtube_id": "19yOv4P2ccw", "content_kind": "Video", "readable_id": "rounding-to-the-nearest-100"}, {"translated_youtube_id": "jvp0mtr1kFM", "relative_url": "/video/examples-rounding-to-the-nearest-10-and-100", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/examples-rounding-to-the-nearest-10-and-100", "duration": 377, "translated_title": "Examples rounding to the nearest 10 and 100", "translated_description_html": "", "id": "x28bac6f5", "description_html": "", "title": "Examples rounding to the nearest 10 and 100", "progress_key": "vx28bac6f5", "edit_slug": "edit/v/x28bac6f5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/examples-rounding-to-the-nearest-10-and-100", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jvp0mtr1kFM.mp4/jvp0mtr1kFM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jvp0mtr1kFM.mp4/jvp0mtr1kFM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jvp0mtr1kFM.m3u8/jvp0mtr1kFM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jvp0mtr1kFM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx28bac6f5", "sha": "a19180a89e63df111c50287e7e4d7e92b8c158f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/jvp0mtr1kFM/hqdefault.jpg", "youtube_id": "jvp0mtr1kFM", "content_kind": "Video", "readable_id": "examples-rounding-to-the-nearest-10-and-100"}], "twitter_url": "", "translated_description": "Rounding is useful when you are trying to roughly estimate numbers.\n\nCommon Core Standard: 3.NBT.A.1 ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Rounding is useful when you are trying to roughly estimate numbers.\n\nCommon Core Standard: 3.NBT.A.1 ", "x_pos": 0.0, "node_slug": "cc-3rd-grade-rounding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax094c347d", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding", "extended_slug": "math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding", "slug": "cc-3rd-grade-rounding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dee0dd4968ab40a8e689b0194bdd285db47c821d", "standalone_title": "Rounding", "y_pos": 0.0, "current_revision_key": "dee0dd4968ab40a8e689b0194bdd285db47c821d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Going a bit deeper with our understanding of place value from 2nd grade. We'll apply this knowledge to learn to round things to the nearest 10 and 100.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Going a bit deeper with our understanding of place value from 2nd grade. We'll apply this knowledge to learn to round things to the nearest 10 and 100.", "x_pos": 0.0, "node_slug": "cc-3rd-place-value-rounding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb514f3b9", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-place-value-rounding", "extended_slug": "math/cc-third-grade-math/cc-3rd-place-value-rounding", "slug": "cc-3rd-place-value-rounding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e5e1de56d242cb884ea0b998432ae47e9899f369", "standalone_title": "Place value and rounding", "y_pos": 0.0, "current_revision_key": "e5e1de56d242cb884ea0b998432ae47e9899f369", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-exp-pattern-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic", "translated_standalone_title": "Expressions and patterns", "translated_title": "Expressions and patterns", "gplus_url": "", "id": "x79d23611", "old_key_name": null, "hide": false, "title": "Expressions and patterns", "child_data": [{"kind": "Topic", "id": "x96bb1013"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns", "translated_standalone_title": "Properties and patterns in arithmetic", "translated_title": "Properties and patterns in arithmetic", "gplus_url": "", "id": "x96bb1013", "old_key_name": null, "hide": false, "title": "Properties and patterns in arithmetic", "child_data": [{"kind": "Video", "id": "x1d5c4398"}, {"kind": "Video", "id": "x5d249382"}], "children": [{"translated_youtube_id": "VXrn5HOQmHQ", "relative_url": "/video/order-doesn-t-matter-when-purely-multiplying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/order-doesn-t-matter-when-purely-multiplying", "duration": 334, "translated_title": "Order doesn't matter when purely multiplying", "translated_description_html": "", "id": "x1d5c4398", "description_html": "", "title": "Order doesn't matter when purely multiplying", "progress_key": "vx1d5c4398", "edit_slug": "edit/v/x1d5c4398", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/order-doesn-t-matter-when-purely-multiplying", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VXrn5HOQmHQ.mp4/VXrn5HOQmHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VXrn5HOQmHQ.mp4/VXrn5HOQmHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VXrn5HOQmHQ.m3u8/VXrn5HOQmHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VXrn5HOQmHQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d5c4398", "sha": "56e755568b598d56cbaf62d21c0ff92716068c75", "translated_description": "", "image_url": "https://img.youtube.com/vi/VXrn5HOQmHQ/hqdefault.jpg", "youtube_id": "VXrn5HOQmHQ", "content_kind": "Video", "readable_id": "order-doesn-t-matter-when-purely-multiplying"}, {"translated_youtube_id": "um2nlNVM_YM", "relative_url": "/video/properties-and-patterns-for-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/properties-and-patterns-for-multiplication", "duration": 514, "translated_title": "Properties and patterns for multiplication", "translated_description_html": "", "id": "x5d249382", "description_html": "", "title": "Properties and patterns for multiplication", "progress_key": "vx5d249382", "edit_slug": "edit/v/x5d249382", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/properties-and-patterns-for-multiplication", "deleted": false, "backup_timestamp": "2013-10-18T20:58:20Z", "date_added": "2013-10-18T20:58:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/um2nlNVM_YM.mp4/um2nlNVM_YM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/um2nlNVM_YM.mp4/um2nlNVM_YM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/um2nlNVM_YM.m3u8/um2nlNVM_YM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=um2nlNVM_YM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5d249382", "sha": "b6abfd4a7d7dc9345e1de26334c500d6c4fc53ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/um2nlNVM_YM/hqdefault.jpg", "youtube_id": "um2nlNVM_YM", "content_kind": "Video", "readable_id": "properties-and-patterns-for-multiplication"}], "twitter_url": "", "translated_description": "Math is full of properties and patterns that will keep emerging as you explore it (this is what makes math so beautiful). We begin to just scratch the surface in this tutorial!\n\nCommon Core Standards: 3.OA.B.5, 3.OA.D.9", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Math is full of properties and patterns that will keep emerging as you explore it (this is what makes math so beautiful). We begin to just scratch the surface in this tutorial!\n\nCommon Core Standards: 3.OA.B.5, 3.OA.D.9", "x_pos": 0.0, "node_slug": "cc-3rd-grade-properties-patterns", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax96bb1013", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns", "extended_slug": "math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns", "slug": "cc-3rd-grade-properties-patterns", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "70e7cfcd8f58fcbcd7a2cfdd985d2a5a7a4c927d", "standalone_title": "Properties and patterns in arithmetic", "y_pos": 0.0, "current_revision_key": "70e7cfcd8f58fcbcd7a2cfdd985d2a5a7a4c927d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We'll cover a few odds and ends here. In particular, you'll see whether order matters when you multiply and divide. We'll also explore some mathematical patterns.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We'll cover a few odds and ends here. In particular, you'll see whether order matters when you multiply and divide. We'll also explore some mathematical patterns.", "x_pos": 0.0, "node_slug": "cc-3rd-exp-pattern-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax79d23611", "topic_page_url": "/math/cc-third-grade-math/cc-3rd-exp-pattern-topic", "extended_slug": "math/cc-third-grade-math/cc-3rd-exp-pattern-topic", "slug": "cc-3rd-exp-pattern-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a0422a56a6d51646a94526442665ba9594a05c8d", "standalone_title": "Expressions and patterns", "y_pos": 0.0, "current_revision_key": "a0422a56a6d51646a94526442665ba9594a05c8d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "3rd grade is full of some of the most important ideas in mathematics. You'll extend the addition and subtraction that you did in second grade to more than two digits. You will also get your first exposure to the ideas of multiplication, division, and fractions, which will be used the rest of your mathematical lives (we'll even use some letters as placeholders for unknown numbers along the way). 3rd grade is also when we first think about area (how much \"space\" something takes on a surface) and perimeter (the distance around a shape). All of that will be rounded out by making sure that you can apply these ideas in the real world and see patterns in the mathematical world (Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "3rd grade is full of some of the most important ideas in mathematics. You'll extend the addition and subtraction that you did in second grade to more than two digits. You will also get your first exposure to the ideas of multiplication, division, and fractions, which will be used the rest of your mathematical lives (we'll even use some letters as placeholders for unknown numbers along the way). 3rd grade is also when we first think about area (how much \"space\" something takes on a surface) and perimeter (the distance around a shape). All of that will be rounded out by making sure that you can apply these ideas in the real world and see patterns in the mathematical world (Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-third-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc7f617f2", "topic_page_url": "/math/cc-third-grade-math", "extended_slug": "math/cc-third-grade-math", "slug": "cc-third-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1fac47cd24e3477e8cbc4738aa1915a4fcb31356", "standalone_title": "3rd grade (U.S.)", "y_pos": 0.0, "current_revision_key": "1fac47cd24e3477e8cbc4738aa1915a4fcb31356", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math", "translated_standalone_title": "4th grade (U.S.)", "translated_title": "4th grade (U.S.)", "gplus_url": "", "id": "x5ec3eb59", "old_key_name": null, "hide": false, "title": "4th grade (U.S.)", "child_data": [{"kind": "Topic", "id": "x447822a8"}, {"kind": "Topic", "id": "xb55cb073"}, {"kind": "Topic", "id": "xfaed0f99"}, {"kind": "Topic", "id": "x58fcadff"}, {"kind": "Topic", "id": "xd796b5cb"}, {"kind": "Topic", "id": "xa391e5e5"}, {"kind": "Topic", "id": "x4d29b2d1"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-add-sub-topic", "translated_standalone_title": "Addition and subtraction", "translated_title": "Addition and subtraction", "gplus_url": "", "id": "x447822a8", "old_key_name": null, "hide": false, "title": "Addition and subtraction", "child_data": [{"kind": "Topic", "id": "xa7e8a5af"}, {"kind": "Topic", "id": "xb397d6c7"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-adding", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-adding", "translated_standalone_title": "Adding multi-digit numbers", "translated_title": "Adding multi-digit numbers", "gplus_url": "", "id": "xa7e8a5af", "old_key_name": null, "hide": false, "title": "Adding multi-digit numbers", "child_data": [{"kind": "Video", "id": "x4f015af1"}, {"kind": "Video", "id": "xdfab4268"}, {"kind": "Video", "id": "x09fc276e"}, {"kind": "Exercise", "id": 2002}], "children": [{"translated_youtube_id": "Wm0zq-NqEFs", "relative_url": "/video/carrying-when-adding-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carrying-when-adding-three-digit-numbers", "duration": 146, "translated_title": "Carrying when adding three digit numbers", "translated_description_html": "", "id": "x4f015af1", "description_html": "", "title": "Carrying when adding three digit numbers", "progress_key": "vx4f015af1", "edit_slug": "edit/v/x4f015af1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/carrying-when-adding-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.m3u8/Wm0zq-NqEFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wm0zq-NqEFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f015af1", "sha": "a581d324d93809de688ce80a2138bc75fda506c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/Wm0zq-NqEFs/hqdefault.jpg", "youtube_id": "Wm0zq-NqEFs", "content_kind": "Video", "readable_id": "carrying-when-adding-three-digit-numbers"}, {"translated_youtube_id": "O9zSHs1TWMM", "relative_url": "/video/why-carrying-works", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-carrying-works", "duration": 150, "translated_title": "Why carrying works", "translated_description_html": "", "id": "xdfab4268", "description_html": "", "title": "Why carrying works", "progress_key": "vxdfab4268", "edit_slug": "edit/v/xdfab4268", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/why-carrying-works", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.m3u8/O9zSHs1TWMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O9zSHs1TWMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfab4268", "sha": "8bccdd6aaef21b7c9e5205687c4d7eed91897154", "translated_description": "", "image_url": "https://img.youtube.com/vi/O9zSHs1TWMM/hqdefault.jpg", "youtube_id": "O9zSHs1TWMM", "content_kind": "Video", "readable_id": "why-carrying-works"}, {"translated_youtube_id": "9hM32lsQ4aI", "relative_url": "/video/example-adding-with-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-adding-with-carrying", "duration": 184, "translated_title": "Examples of carrying when adding three digit numbers", "translated_description_html": "", "id": "x09fc276e", "description_html": "", "title": "Examples of carrying when adding three digit numbers", "progress_key": "vx09fc276e", "edit_slug": "edit/v/x09fc276e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/example-adding-with-carrying", "deleted": false, "backup_timestamp": "2013-10-05T00:49:23Z", "date_added": "2013-10-05T00:49:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.m3u8/9hM32lsQ4aI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9hM32lsQ4aI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09fc276e", "sha": "1c65b328fe1fef1a407b3e5cc8bc134380219d67", "translated_description": "", "image_url": "https://img.youtube.com/vi/9hM32lsQ4aI/hqdefault.jpg", "youtube_id": "9hM32lsQ4aI", "content_kind": "Video", "readable_id": "example-adding-with-carrying"}], "twitter_url": "", "translated_description": "You know how to add multi-digit numbers from the 3rd grade. Now we will give you even more practice (and tackle even larger numbers)!\n\nCommon Core Standard: 4.NBT.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to add multi-digit numbers from the 3rd grade. Now we will give you even more practice (and tackle even larger numbers)!\n\nCommon Core Standard: 4.NBT.B.4", "x_pos": 0.0, "node_slug": "cc-4th-adding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa7e8a5af", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-adding", "extended_slug": "math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-adding", "slug": "cc-4th-adding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "45d859fbb190aee234e70f53d9f5f353616ce378", "standalone_title": "Adding multi-digit numbers", "y_pos": 0.0, "current_revision_key": "45d859fbb190aee234e70f53d9f5f353616ce378", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-subtracting", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-subtracting", "translated_standalone_title": "Subtracting multi-digit numbers", "translated_title": "Subtracting multi-digit numbers", "gplus_url": "", "id": "xb397d6c7", "old_key_name": null, "hide": false, "title": "Subtracting multi-digit numbers", "child_data": [{"kind": "Video", "id": "x708f7c61"}, {"kind": "Video", "id": "x2ea1beb5"}, {"kind": "Video", "id": "x3d064c7e"}, {"kind": "Video", "id": "x3eaef2d6"}, {"kind": "Exercise", "id": 3005}], "children": [{"translated_youtube_id": "9T3AAn-Cw3g", "relative_url": "/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "duration": 167, "translated_title": "Basic regrouping or borrowing when subtracting three digit numbers", "translated_description_html": "", "id": "x708f7c61", "description_html": "", "title": "Basic regrouping or borrowing when subtracting three digit numbers", "progress_key": "vx708f7c61", "edit_slug": "edit/v/x708f7c61", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:07Z", "date_added": "2013-10-05T22:51:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.m3u8/9T3AAn-Cw3g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9T3AAn-Cw3g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx708f7c61", "sha": "b692d0472ea3fc98c8185e200a3ef9fc04dbecd4", "translated_description": "", "image_url": "https://img.youtube.com/vi/9T3AAn-Cw3g/hqdefault.jpg", "youtube_id": "9T3AAn-Cw3g", "content_kind": "Video", "readable_id": "basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "QOtam19NQcQ", "relative_url": "/video/regrouping-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-when-subtracting-three-digit-numbers", "duration": 200, "translated_title": "Regrouping when subtracting three digit numbers", "translated_description_html": "", "id": "x2ea1beb5", "description_html": "", "title": "Regrouping when subtracting three digit numbers", "progress_key": "vx2ea1beb5", "edit_slug": "edit/v/x2ea1beb5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.m3u8/QOtam19NQcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QOtam19NQcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2ea1beb5", "sha": "832cbfed728612b9ac79807cea8ba0d6e38ec348", "translated_description": "", "image_url": "https://img.youtube.com/vi/QOtam19NQcQ/hqdefault.jpg", "youtube_id": "QOtam19NQcQ", "content_kind": "Video", "readable_id": "regrouping-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "LSaaKau63Gg", "relative_url": "/video/regrouping-twice-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-twice-when-subtracting-three-digit-numbers", "duration": 228, "translated_title": "Regrouping twice when subtracting three digit numbers", "translated_description_html": "", "id": "x3d064c7e", "description_html": "", "title": "Regrouping twice when subtracting three digit numbers", "progress_key": "vx3d064c7e", "edit_slug": "edit/v/x3d064c7e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-twice-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.m3u8/LSaaKau63Gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSaaKau63Gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3d064c7e", "sha": "3af088b4697a127005c76f44c9c3231eeeb98e24", "translated_description": "", "image_url": "https://img.youtube.com/vi/LSaaKau63Gg/hqdefault.jpg", "youtube_id": "LSaaKau63Gg", "content_kind": "Video", "readable_id": "regrouping-twice-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "3lHBgFvr3yE", "relative_url": "/video/regrouping-from-0-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-from-0-when-subtracting-three-digit-numbers", "duration": 144, "translated_title": "Regrouping from 0 when subtracting three digit numbers", "translated_description_html": "", "id": "x3eaef2d6", "description_html": "", "title": "Regrouping from 0 when subtracting three digit numbers", "progress_key": "vx3eaef2d6", "edit_slug": "edit/v/x3eaef2d6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-from-0-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.m3u8/3lHBgFvr3yE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3lHBgFvr3yE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3eaef2d6", "sha": "3aca73f8431e7473c352f81cbadf6d3bf7aab340", "translated_description": "", "image_url": "https://img.youtube.com/vi/3lHBgFvr3yE/hqdefault.jpg", "youtube_id": "3lHBgFvr3yE", "content_kind": "Video", "readable_id": "regrouping-from-0-when-subtracting-three-digit-numbers"}], "twitter_url": "", "translated_description": "In the 3rd grade, you learned to subtract multi-digit numbers. This includes subtraction through regrouping (sometimes known as \"borrowing\"). This tutorial will give you practice doing this with even larger numbers. Have fun!\n\nCommon Core Standard: 4.NBT.B.4\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In the 3rd grade, you learned to subtract multi-digit numbers. This includes subtraction through regrouping (sometimes known as \"borrowing\"). This tutorial will give you practice doing this with even larger numbers. Have fun!\n\nCommon Core Standard: 4.NBT.B.4\t", "x_pos": 0.0, "node_slug": "cc-4th-subtracting", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb397d6c7", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-subtracting", "extended_slug": "math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-subtracting", "slug": "cc-4th-subtracting", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "040ca3bb47b71b038609b77535d4f5c483e73a5c", "standalone_title": "Subtracting multi-digit numbers", "y_pos": 0.0, "current_revision_key": "040ca3bb47b71b038609b77535d4f5c483e73a5c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Fourth grade is the time to really fine-tune your addition and subtraction skills to the point that you can add and subtract pretty much any multi-digit, whole number! ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Fourth grade is the time to really fine-tune your addition and subtraction skills to the point that you can add and subtract pretty much any multi-digit, whole number! ", "x_pos": 0.0, "node_slug": "cc-4th-add-sub-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax447822a8", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-add-sub-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-add-sub-topic", "slug": "cc-4th-add-sub-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "80ff255d8942adb810716fd2759863f5df332d02", "standalone_title": "Addition and subtraction", "y_pos": 0.0, "current_revision_key": "80ff255d8942adb810716fd2759863f5df332d02", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic", "translated_standalone_title": "Multiplication and division", "translated_title": "Multiplication and division", "gplus_url": "", "id": "xb55cb073", "old_key_name": null, "hide": false, "title": "Multiplication and division", "child_data": [{"kind": "Topic", "id": "x72251f37"}, {"kind": "Topic", "id": "xd70047de"}, {"kind": "Topic", "id": "xa8b72c0d"}, {"kind": "Topic", "id": "x9cfba071"}, {"kind": "Topic", "id": "xcaadc452"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication", "translated_standalone_title": "Multiplication", "translated_title": "Multiplication", "gplus_url": "", "id": "x72251f37", "old_key_name": null, "hide": false, "title": "Multiplication", "child_data": [{"kind": "Video", "id": "x82d7bb46"}, {"kind": "Video", "id": "x509df20f"}, {"kind": "Exercise", "id": 13179375}, {"kind": "Video", "id": "x16d8e819"}, {"kind": "Video", "id": "x4d3274dc"}, {"kind": "Video", "id": "x3c1ecd5d"}, {"kind": "Exercise", "id": 2005}, {"kind": "Video", "id": "x7ea237eb"}, {"kind": "Exercise", "id": 3007}], "children": [{"translated_youtube_id": "k68CPfcehTE", "relative_url": "/video/2-digit-times-1-digit-example-no-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-digit-times-1-digit-example-no-carrying", "duration": 111, "translated_title": "2 digit times 1 digit example (no carrying)", "translated_description_html": "", "id": "x82d7bb46", "description_html": "", "title": "2 digit times 1 digit example (no carrying)", "progress_key": "vx82d7bb46", "edit_slug": "edit/v/x82d7bb46", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2-digit-times-1-digit-example-no-carrying", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.mp4/k68CPfcehTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.mp4/k68CPfcehTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.m3u8/k68CPfcehTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k68CPfcehTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx82d7bb46", "sha": "640c56dd6b76d158399c2c9a45f039ff81448a00", "translated_description": "", "image_url": "https://img.youtube.com/vi/k68CPfcehTE/hqdefault.jpg", "youtube_id": "k68CPfcehTE", "content_kind": "Video", "readable_id": "2-digit-times-1-digit-example-no-carrying"}, {"translated_youtube_id": "4BtXvopHXI8", "relative_url": "/video/3-digit-times-1-digit-example-no-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-digit-times-1-digit-example-no-carrying", "duration": 114, "translated_title": "3 digit times 1 digit example (no carrying)", "translated_description_html": "", "id": "x509df20f", "description_html": "", "title": "3 digit times 1 digit example (no carrying)", "progress_key": "vx509df20f", "edit_slug": "edit/v/x509df20f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/3-digit-times-1-digit-example-no-carrying", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-03T23:10:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.mp4/4BtXvopHXI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.mp4/4BtXvopHXI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.m3u8/4BtXvopHXI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4BtXvopHXI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx509df20f", "sha": "7691eab576ffa72dd9ca58a7e6fc468702b62a97", "translated_description": "", "image_url": "https://img.youtube.com/vi/4BtXvopHXI8/hqdefault.jpg", "youtube_id": "4BtXvopHXI8", "content_kind": "Video", "readable_id": "3-digit-times-1-digit-example-no-carrying"}, {"translated_youtube_id": "SfxULALs_u8", "relative_url": "/video/2-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-digit-times-1-digit-example", "duration": 129, "translated_title": "2 digit times 1 digit example", "translated_description_html": "", "id": "x16d8e819", "description_html": "", "title": "2 digit times 1 digit example", "progress_key": "vx16d8e819", "edit_slug": "edit/v/x16d8e819", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.mp4/SfxULALs_u8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.mp4/SfxULALs_u8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.m3u8/SfxULALs_u8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SfxULALs_u8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16d8e819", "sha": "41efad6c7649a19466dd0afc6f443f2251cac36f", "translated_description": "", "image_url": "https://img.youtube.com/vi/SfxULALs_u8/hqdefault.jpg", "youtube_id": "SfxULALs_u8", "content_kind": "Video", "readable_id": "2-digit-times-1-digit-example"}, {"translated_youtube_id": "TqRReFvbpXA", "relative_url": "/video/3-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-digit-times-1-digit-example", "duration": 135, "translated_title": "3 digit times 1 digit example", "translated_description_html": "", "id": "x4d3274dc", "description_html": "", "title": "3 digit times 1 digit example", "progress_key": "vx4d3274dc", "edit_slug": "edit/v/x4d3274dc", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/3-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.mp4/TqRReFvbpXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.mp4/TqRReFvbpXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.m3u8/TqRReFvbpXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TqRReFvbpXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d3274dc", "sha": "bc8386ed56c2d43656cb547853150464b15403de", "translated_description": "", "image_url": "https://img.youtube.com/vi/TqRReFvbpXA/hqdefault.jpg", "youtube_id": "TqRReFvbpXA", "content_kind": "Video", "readable_id": "3-digit-times-1-digit-example"}, {"translated_youtube_id": "twMdew4Zs8Q", "relative_url": "/video/4-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/4-digit-times-1-digit-example", "duration": 204, "translated_title": "4 digit times 1 digit example", "translated_description_html": "", "id": "x3c1ecd5d", "description_html": "", "title": "4 digit times 1 digit example", "progress_key": "vx3c1ecd5d", "edit_slug": "edit/v/x3c1ecd5d", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/4-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.mp4/twMdew4Zs8Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.mp4/twMdew4Zs8Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.m3u8/twMdew4Zs8Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=twMdew4Zs8Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3c1ecd5d", "sha": "7c246f23e45a95525bdedef763d3ce78fef37e5d", "translated_description": "", "image_url": "https://img.youtube.com/vi/twMdew4Zs8Q/hqdefault.jpg", "youtube_id": "twMdew4Zs8Q", "content_kind": "Video", "readable_id": "4-digit-times-1-digit-example"}, {"translated_youtube_id": "DaQlieZH1kk", "relative_url": "/video/multiplying-2-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-2-digit-numbers", "duration": 247, "translated_title": "Multiplying 2 digit numbers", "translated_description_html": "", "id": "x7ea237eb", "description_html": "", "title": "Multiplying 2 digit numbers", "progress_key": "vx7ea237eb", "edit_slug": "edit/v/x7ea237eb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-2-digit-numbers", "deleted": false, "backup_timestamp": "2013-11-13T18:03:04Z", "date_added": "2013-11-13T18:03:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DaQlieZH1kk.mp4/DaQlieZH1kk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DaQlieZH1kk.mp4/DaQlieZH1kk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DaQlieZH1kk.m3u8/DaQlieZH1kk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DaQlieZH1kk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7ea237eb", "sha": "0233393c8bac4c196278bfd058ea1b815aa49c6e", "translated_description": "", "image_url": "https://img.youtube.com/vi/DaQlieZH1kk/hqdefault.jpg", "youtube_id": "DaQlieZH1kk", "content_kind": "Video", "readable_id": "multiplying-2-digit-numbers"}], "twitter_url": "", "translated_description": "You know your multiplication tables (and basic division) from the 3rd grade and are ready to learn how to multiply and divide multi-digit numbers. Imagine the possibilities! This tutorial will make you unstoppable.\n\nCommon Core Standard: 4.NBT.B.5\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know your multiplication tables (and basic division) from the 3rd grade and are ready to learn how to multiply and divide multi-digit numbers. Imagine the possibilities! This tutorial will make you unstoppable.\n\nCommon Core Standard: 4.NBT.B.5\t", "x_pos": 0.0, "node_slug": "cc-4th-multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax72251f37", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication", "slug": "cc-4th-multiplication", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4dc5fe014ca1392be130c9d2532456022dd917db", "standalone_title": "Multiplication", "y_pos": 0.0, "current_revision_key": "4dc5fe014ca1392be130c9d2532456022dd917db", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models", "translated_standalone_title": "Area models to visualize multiplication", "translated_title": "Grids and area models to visualize multiplication", "gplus_url": "", "id": "xd70047de", "old_key_name": null, "hide": false, "title": "Grids and area models to visualize multiplication", "child_data": [{"kind": "Video", "id": "xde6ebdd7"}, {"kind": "Exercise", "id": "xc3ddc4de"}, {"kind": "Video", "id": "x481bf39b"}, {"kind": "Video", "id": "x29584c60"}, {"kind": "Video", "id": "x58e24008"}, {"kind": "Exercise", "id": "x984640b4"}], "children": [{"translated_youtube_id": "UvAOynxGfIU", "relative_url": "/video/4-by-1-multiplication-with-grid", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/4-by-1-multiplication-with-grid", "duration": 214, "translated_title": "Multiplying 4 digit and 1 digit using grid", "translated_description_html": "", "id": "xde6ebdd7", "description_html": "", "title": "Multiplying 4 digit and 1 digit using grid", "progress_key": "vxde6ebdd7", "edit_slug": "edit/v/xde6ebdd7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/4-by-1-multiplication-with-grid", "deleted": false, "backup_timestamp": "2013-11-20T20:39:20Z", "date_added": "2013-11-20T20:39:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UvAOynxGfIU.mp4/UvAOynxGfIU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UvAOynxGfIU.mp4/UvAOynxGfIU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UvAOynxGfIU.m3u8/UvAOynxGfIU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UvAOynxGfIU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxde6ebdd7", "sha": "762d4293e12b09c245fc3bc9b19c17eb2de4d27a", "translated_description": "", "image_url": "https://img.youtube.com/vi/UvAOynxGfIU/hqdefault.jpg", "youtube_id": "UvAOynxGfIU", "content_kind": "Video", "readable_id": "4-by-1-multiplication-with-grid"}, {"translated_youtube_id": "3JmnxR8nEi8", "relative_url": "/video/2-digit-multiplication-with-grid", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-digit-multiplication-with-grid", "duration": 418, "translated_title": "2-digit multiplication with distribution or grid", "translated_description_html": "


<\/p>", "id": "x481bf39b", "description_html": "


<\/p>", "title": "2-digit multiplication with distribution or grid", "progress_key": "vx481bf39b", "edit_slug": "edit/v/x481bf39b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/2-digit-multiplication-with-grid", "deleted": false, "backup_timestamp": "2013-11-18T19:28:40Z", "date_added": "2013-11-18T19:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3JmnxR8nEi8.mp4/3JmnxR8nEi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3JmnxR8nEi8.mp4/3JmnxR8nEi8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3JmnxR8nEi8.m3u8/3JmnxR8nEi8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3JmnxR8nEi8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx481bf39b", "sha": "8f920a61d1026bdffbf69c8344c04ce28c8a3369", "translated_description": "", "image_url": "https://img.youtube.com/vi/3JmnxR8nEi8/hqdefault.jpg", "youtube_id": "3JmnxR8nEi8", "content_kind": "Video", "readable_id": "2-digit-multiplication-with-grid"}, {"translated_youtube_id": "p0jCw2sqZgs", "relative_url": "/video/understanding-multiplication-through-area-models", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-multiplication-through-area-models", "duration": 298, "translated_title": "Understanding multiplication through area models", "translated_description_html": "", "id": "x29584c60", "description_html": "", "title": "Understanding multiplication through area models", "progress_key": "vx29584c60", "edit_slug": "edit/v/x29584c60", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-multiplication-through-area-models", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.mp4/p0jCw2sqZgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.mp4/p0jCw2sqZgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.m3u8/p0jCw2sqZgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p0jCw2sqZgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx29584c60", "sha": "c28205f7494c06e87ada06faaa86b10b40c3751c", "translated_description": "", "image_url": "https://img.youtube.com/vi/p0jCw2sqZgs/hqdefault.jpg", "youtube_id": "p0jCw2sqZgs", "content_kind": "Video", "readable_id": "understanding-multiplication-through-area-models"}, {"translated_youtube_id": "vbGwcvXgDlg", "relative_url": "/video/area-model-for-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-model-for-multiplication", "duration": 527, "translated_title": "Area model for multiplication", "translated_description_html": "", "id": "x58e24008", "description_html": "", "title": "Area model for multiplication", "progress_key": "vx58e24008", "edit_slug": "edit/v/x58e24008", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-model-for-multiplication", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-08T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.mp4/vbGwcvXgDlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.mp4/vbGwcvXgDlg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.m3u8/vbGwcvXgDlg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vbGwcvXgDlg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx58e24008", "sha": "4db276689f71db20ddb5da1b525b349339a0a9ff", "translated_description": "", "image_url": "https://img.youtube.com/vi/vbGwcvXgDlg/hqdefault.jpg", "youtube_id": "vbGwcvXgDlg", "content_kind": "Video", "readable_id": "area-model-for-multiplication"}], "twitter_url": "", "translated_description": "Most of us learn to multiply multi-digit numbers eventually, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of grids and area models, will allow you to be part of this elite group.\n\nCommon Core Standard: 4.NBT.B.5\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Most of us learn to multiply multi-digit numbers eventually, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of grids and area models, will allow you to be part of this elite group.\n\nCommon Core Standard: 4.NBT.B.5\t", "x_pos": 0.0, "node_slug": "cc-4th-area-models", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd70047de", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models", "slug": "cc-4th-area-models", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dc52fbd89f73f6b5d101e8815059b811ea9fb35a", "standalone_title": "Area models to visualize multiplication", "y_pos": 0.0, "current_revision_key": "dc52fbd89f73f6b5d101e8815059b811ea9fb35a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing", "translated_standalone_title": "Comparing with multiplication", "translated_title": "Comparing with multiplication", "gplus_url": "", "id": "xa8b72c0d", "old_key_name": null, "hide": false, "title": "Comparing with multiplication", "child_data": [{"kind": "Video", "id": "x2f57b7bc"}, {"kind": "Video", "id": "x9c85eb98"}, {"kind": "Video", "id": "xfadbf044"}, {"kind": "Exercise", "id": "x26a42c4a"}, {"kind": "Video", "id": 158927009}, {"kind": "Video", "id": "x2187d181"}, {"kind": "Exercise", "id": 46563848}], "children": [{"translated_youtube_id": "UKYjhM_c_7s", "relative_url": "/video/comparisons-multiplication-addition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparisons-multiplication-addition", "duration": 297, "translated_title": "Ages and heights", "translated_description_html": "", "id": "x2f57b7bc", "description_html": "", "title": "Ages and heights", "progress_key": "vx2f57b7bc", "edit_slug": "edit/v/x2f57b7bc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparisons-multiplication-addition", "deleted": false, "backup_timestamp": "2013-11-11T16:33:06Z", "date_added": "2013-11-11T16:33:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UKYjhM_c_7s.mp4/UKYjhM_c_7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UKYjhM_c_7s.mp4/UKYjhM_c_7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UKYjhM_c_7s.m3u8/UKYjhM_c_7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UKYjhM_c_7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2f57b7bc", "sha": "c820d562b2d30e4be33f1d8313e0949ad28c3118", "translated_description": "", "image_url": "https://img.youtube.com/vi/UKYjhM_c_7s/hqdefault.jpg", "youtube_id": "UKYjhM_c_7s", "content_kind": "Video", "readable_id": "comparisons-multiplication-addition"}, {"translated_youtube_id": "ZS157czfx4E", "relative_url": "/video/comparisons-subtraction-division", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparisons-subtraction-division", "duration": 395, "translated_title": "Money and distance", "translated_description_html": "", "id": "x9c85eb98", "description_html": "", "title": "Money and distance", "progress_key": "vx9c85eb98", "edit_slug": "edit/v/x9c85eb98", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparisons-subtraction-division", "deleted": false, "backup_timestamp": "2013-11-11T16:33:07Z", "date_added": "2013-11-11T16:33:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZS157czfx4E.mp4/ZS157czfx4E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZS157czfx4E.mp4/ZS157czfx4E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZS157czfx4E.m3u8/ZS157czfx4E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZS157czfx4E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9c85eb98", "sha": "8ea1f4ff89d6d19c32092563b99e66b62f0c93a4", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZS157czfx4E/hqdefault.jpg", "youtube_id": "ZS157czfx4E", "content_kind": "Video", "readable_id": "comparisons-subtraction-division"}, {"translated_youtube_id": "OCwLwaAQlMA", "relative_url": "/video/comparing-with-multiplication-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-with-multiplication-exercise", "duration": 137, "translated_title": "Comparing with multiplication exercise", "translated_description_html": "", "id": "xfadbf044", "description_html": "", "title": "Comparing with multiplication exercise", "progress_key": "vxfadbf044", "edit_slug": "edit/v/xfadbf044", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-with-multiplication-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.mp4/OCwLwaAQlMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.mp4/OCwLwaAQlMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.m3u8/OCwLwaAQlMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OCwLwaAQlMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfadbf044", "sha": "c43127c4bf1cc335088850e347d3e5a5a46b1a54", "translated_description": "", "image_url": "https://img.youtube.com/vi/OCwLwaAQlMA/hqdefault.jpg", "youtube_id": "OCwLwaAQlMA", "content_kind": "Video", "readable_id": "comparing-with-multiplication-exercise"}, {"translated_youtube_id": "bS6EmYzpou4", "relative_url": "/video/multiplying-whole-numbers-and-applications-6", "has_questions": false, "keywords": "U01_L3_T1_we6, Multiplying, Whole, Numbers, and, Applications", "ka_url": "http://www.khanacademy.org/video/multiplying-whole-numbers-and-applications-6", "duration": 159, "translated_title": "Comparing ages", "translated_description_html": "Multiplying Whole Numbers and Applications 6", "id": "158927009", "description_html": "Multiplying Whole Numbers and Applications 6", "title": "Comparing ages", "progress_key": "v158927009", "edit_slug": "edit/v/158927009", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Whole Numbers and Applications 6", "extra_properties": null, "node_slug": "v/multiplying-whole-numbers-and-applications-6", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-18T23:30:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.m3u8/bS6EmYzpou4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bS6EmYzpou4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158927009", "sha": "ffd7bc52ce4b9f8170a93b454a27a408db26eb90", "translated_description": "Multiplying Whole Numbers and Applications 6", "image_url": "https://img.youtube.com/vi/bS6EmYzpou4/hqdefault.jpg", "youtube_id": "bS6EmYzpou4", "content_kind": "Video", "readable_id": "multiplying-whole-numbers-and-applications-6"}, {"translated_youtube_id": "9CZfG3r5JBE", "relative_url": "/video/multiplication-and-division-word-problems-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-and-division-word-problems-2", "duration": 70, "translated_title": "Comparing magic strength", "translated_description_html": "", "id": "x2187d181", "description_html": "", "title": "Comparing magic strength", "progress_key": "vx2187d181", "edit_slug": "edit/v/x2187d181", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-and-division-word-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.mp4/9CZfG3r5JBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.mp4/9CZfG3r5JBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.m3u8/9CZfG3r5JBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9CZfG3r5JBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2187d181", "sha": "08a102496e0ce3d3238da6cbbd216a708e25b640", "translated_description": "", "image_url": "https://img.youtube.com/vi/9CZfG3r5JBE/hqdefault.jpg", "youtube_id": "9CZfG3r5JBE", "content_kind": "Video", "readable_id": "multiplication-and-division-word-problems-2"}], "twitter_url": "", "translated_description": "In this tutorial, we look at multiplication and division through the lens of comparison. For example, say that are 9 and 3 times older than your cousin. How old would your cousin be? \n\nCommon Core Standards: 4.OA.A.1, 4.OA.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we look at multiplication and division through the lens of comparison. For example, say that are 9 and 3 times older than your cousin. How old would your cousin be? \n\nCommon Core Standards: 4.OA.A.1, 4.OA.A.2\t", "x_pos": 0.0, "node_slug": "cc-4th-mult-comparing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa8b72c0d", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing", "slug": "cc-4th-mult-comparing", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bbad788733e0820a726a48d91766f73d6a8c4be9", "standalone_title": "Comparing with multiplication", "y_pos": 0.0, "current_revision_key": "bbad788733e0820a726a48d91766f73d6a8c4be9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division", "translated_standalone_title": "Division", "translated_title": "Division", "gplus_url": "", "id": "x9cfba071", "old_key_name": null, "hide": false, "title": "Division", "child_data": [{"kind": "Video", "id": "xebe85e0b"}, {"kind": "Video", "id": "xd8abe311"}, {"kind": "Exercise", "id": 13179402}, {"kind": "Video", "id": "x2e6c5e31"}, {"kind": "Video", "id": "x1a34ebb5"}, {"kind": "Video", "id": 23848}, {"kind": "Exercise", "id": 3008}], "children": [{"translated_youtube_id": "KFzcwWTEDDI", "relative_url": "/video/long-division-without-remainder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/long-division-without-remainder", "duration": 195, "translated_title": "Intro to long division without remainders", "translated_description_html": "", "id": "xebe85e0b", "description_html": "", "title": "Intro to long division without remainders", "progress_key": "vxebe85e0b", "edit_slug": "edit/v/xebe85e0b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/long-division-without-remainder", "deleted": false, "backup_timestamp": "2013-11-12T19:48:36Z", "date_added": "2013-11-12T19:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KFzcwWTEDDI.mp4/KFzcwWTEDDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KFzcwWTEDDI.mp4/KFzcwWTEDDI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KFzcwWTEDDI.m3u8/KFzcwWTEDDI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KFzcwWTEDDI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxebe85e0b", "sha": "2c80c61e0d1a2de1cfe75f6766eaa1a9b6bedbde", "translated_description": "", "image_url": "https://img.youtube.com/vi/KFzcwWTEDDI/hqdefault.jpg", "youtube_id": "KFzcwWTEDDI", "content_kind": "Video", "readable_id": "long-division-without-remainder"}, {"translated_youtube_id": "HY-8ydAbiik", "relative_url": "/video/dividing-3-digit-by-1-digit-without-remainder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-3-digit-by-1-digit-without-remainder", "duration": 223, "translated_title": "Example of long division without remainders", "translated_description_html": "", "id": "xd8abe311", "description_html": "", "title": "Example of long division without remainders", "progress_key": "vxd8abe311", "edit_slug": "edit/v/xd8abe311", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dividing-3-digit-by-1-digit-without-remainder", "deleted": false, "backup_timestamp": "2013-11-13T07:17:26Z", "date_added": "2013-11-13T07:17:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HY-8ydAbiik.mp4/HY-8ydAbiik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HY-8ydAbiik.mp4/HY-8ydAbiik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HY-8ydAbiik.m3u8/HY-8ydAbiik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HY-8ydAbiik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd8abe311", "sha": "4913e3f4e0eeb3845e22a3ac893beede7c551bba", "translated_description": "", "image_url": "https://img.youtube.com/vi/HY-8ydAbiik/hqdefault.jpg", "youtube_id": "HY-8ydAbiik", "content_kind": "Video", "readable_id": "dividing-3-digit-by-1-digit-without-remainder"}, {"translated_youtube_id": "BIGX05Mp5nw", "relative_url": "/video/introduction-to-remainders", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-remainders", "duration": 225, "translated_title": "Introduction to remainders", "translated_description_html": "", "id": "x2e6c5e31", "description_html": "", "title": "Introduction to remainders", "progress_key": "vx2e6c5e31", "edit_slug": "edit/v/x2e6c5e31", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-remainders", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T23:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.mp4/BIGX05Mp5nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.mp4/BIGX05Mp5nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.m3u8/BIGX05Mp5nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BIGX05Mp5nw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2e6c5e31", "sha": "b584b5cb8b8fc979e4fc0d1430fcf64ad9bca24f", "translated_description": "", "image_url": "https://img.youtube.com/vi/BIGX05Mp5nw/hqdefault.jpg", "youtube_id": "BIGX05Mp5nw", "content_kind": "Video", "readable_id": "introduction-to-remainders"}, {"translated_youtube_id": "MbpmP1esh-Q", "relative_url": "/video/long-division-with-remainder-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/long-division-with-remainder-example", "duration": 161, "translated_title": "Long division with remainder example", "translated_description_html": "", "id": "x1a34ebb5", "description_html": "", "title": "Long division with remainder example", "progress_key": "vx1a34ebb5", "edit_slug": "edit/v/x1a34ebb5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/long-division-with-remainder-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T23:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.mp4/MbpmP1esh-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.mp4/MbpmP1esh-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.m3u8/MbpmP1esh-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MbpmP1esh-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a34ebb5", "sha": "f4dbbaa1f999d1d4439d738fe7a0cf7ceaeaa2ce", "translated_description": "", "image_url": "https://img.youtube.com/vi/MbpmP1esh-Q/hqdefault.jpg", "youtube_id": "MbpmP1esh-Q", "content_kind": "Video", "readable_id": "long-division-with-remainder-example"}, {"translated_youtube_id": "NcADzGz3bSI", "relative_url": "/video/division-3--more-long-division-and-remainder-examples", "has_questions": false, "keywords": "long, division, remainder, CC_3_OA_2, CC_3_OA_6, CC_3_OA_7, CC_4_NBT_6, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/division-3--more-long-division-and-remainder-examples", "duration": 607, "translated_title": "More long division without and with remainders", "translated_description_html": "More long division and remainder examples", "id": "23848", "description_html": "More long division and remainder examples", "title": "More long division without and with remainders", "progress_key": "v23848", "edit_slug": "edit/v/23848", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More long division and remainder examples", "extra_properties": {"original_url": ""}, "node_slug": "v/division-3--more-long-division-and-remainder-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.m3u8/NcADzGz3bSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NcADzGz3bSI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23848", "sha": "4ee91bdec6e6680268ec95d54c2ca049159d71a2", "translated_description": "More long division and remainder examples", "image_url": "https://img.youtube.com/vi/NcADzGz3bSI/hqdefault.jpg", "youtube_id": "NcADzGz3bSI", "content_kind": "Video", "readable_id": "division-3--more-long-division-and-remainder-examples"}], "twitter_url": "", "translated_description": "You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as \"long division\", but that's not as much fun to say). After this tutorial, you'll be able to divide any whole number by a single digit number. You'll also see that sometimes things don't divide evenly and you'll be left with a remainder. The fun will not stop!\n\nCommon Core Standard: 4.NBT.B.6\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as \"long division\", but that's not as much fun to say). After this tutorial, you'll be able to divide any whole number by a single digit number. You'll also see that sometimes things don't divide evenly and you'll be left with a remainder. The fun will not stop!\n\nCommon Core Standard: 4.NBT.B.6\t", "x_pos": 0.0, "node_slug": "cc-4th-division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9cfba071", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division", "slug": "cc-4th-division", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1c45ddd5552d022afff18a92a760b1a91ddd565a", "standalone_title": "Division", "y_pos": 0.0, "current_revision_key": "1c45ddd5552d022afff18a92a760b1a91ddd565a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multistep-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multistep-word-problems", "translated_standalone_title": "Multistep word problems", "translated_title": "Multistep word problems", "gplus_url": "", "id": "xcaadc452", "old_key_name": null, "hide": false, "title": "Multistep word problems", "child_data": [{"kind": "Video", "id": "x06f7f404"}, {"kind": "Video", "id": "xad8542bb"}, {"kind": "Video", "id": "x17e8cc3e"}, {"kind": "Exercise", "id": "x9fbba1c4"}], "children": [{"translated_youtube_id": "anlOhNHlqwg", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-1", "duration": 179, "translated_title": "Multi step word problems with whole numbers exercise 1", "translated_description_html": "", "id": "x06f7f404", "description_html": "", "title": "Multi step word problems with whole numbers exercise 1", "progress_key": "vx06f7f404", "edit_slug": "edit/v/x06f7f404", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.mp4/anlOhNHlqwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.mp4/anlOhNHlqwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.m3u8/anlOhNHlqwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=anlOhNHlqwg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx06f7f404", "sha": "9f8e49a4ca9fb61e47ca4d3ec562abadcf516654", "translated_description": "", "image_url": "https://img.youtube.com/vi/anlOhNHlqwg/hqdefault.jpg", "youtube_id": "anlOhNHlqwg", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-1"}, {"translated_youtube_id": "cTveNRjWQYo", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-t2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-t2", "duration": 158, "translated_title": "Multi step word problems with whole numbers exercise 2", "translated_description_html": "", "id": "xad8542bb", "description_html": "", "title": "Multi step word problems with whole numbers exercise 2", "progress_key": "vxad8542bb", "edit_slug": "edit/v/xad8542bb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-t2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.mp4/cTveNRjWQYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.mp4/cTveNRjWQYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.m3u8/cTveNRjWQYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cTveNRjWQYo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxad8542bb", "sha": "c54209683c7067bdc6285ba0457607fbe1321576", "translated_description": "", "image_url": "https://img.youtube.com/vi/cTveNRjWQYo/hqdefault.jpg", "youtube_id": "cTveNRjWQYo", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-t2"}, {"translated_youtube_id": "l7h8A6SX5kY", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-3", "duration": 130, "translated_title": "Multi step word problems with whole numbers exercise 3", "translated_description_html": "", "id": "x17e8cc3e", "description_html": "", "title": "Multi step word problems with whole numbers exercise 3", "progress_key": "vx17e8cc3e", "edit_slug": "edit/v/x17e8cc3e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.mp4/l7h8A6SX5kY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.mp4/l7h8A6SX5kY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.m3u8/l7h8A6SX5kY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l7h8A6SX5kY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx17e8cc3e", "sha": "d79bc3f1b8648a29c6bf608cc291d62b119e4970", "translated_description": "", "image_url": "https://img.youtube.com/vi/l7h8A6SX5kY/hqdefault.jpg", "youtube_id": "l7h8A6SX5kY", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-3"}], "twitter_url": "", "translated_description": "In this tutorial, we'll start to challenge you with more sophisticated multiplication and division word problems. If you understand mult-digit multiplication and long division, you have all the tools you need to tackle these. May the force be with you!\n\nCommon Core Standard: 4.OA.A.3\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll start to challenge you with more sophisticated multiplication and division word problems. If you understand mult-digit multiplication and long division, you have all the tools you need to tackle these. May the force be with you!\n\nCommon Core Standard: 4.OA.A.3\t", "x_pos": 0.0, "node_slug": "cc-4th-multistep-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcaadc452", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multistep-word-problems", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multistep-word-problems", "slug": "cc-4th-multistep-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f310346aebbc454d52535144c113c3b06fbd94ae", "standalone_title": "Multistep word problems", "y_pos": 0.0, "current_revision_key": "f310346aebbc454d52535144c113c3b06fbd94ae", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Let's continue on the multiplication and division adventure that was started in third grade--now we'll think about these operations with multi-digit numbers and discover that we sometimes have something left over, or a remainder, when we divide.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's continue on the multiplication and division adventure that was started in third grade--now we'll think about these operations with multi-digit numbers and discover that we sometimes have something left over, or a remainder, when we divide.", "x_pos": 0.0, "node_slug": "cc-4th-mult-div-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb55cb073", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-mult-div-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-mult-div-topic", "slug": "cc-4th-mult-div-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "272b60417b922a6af7e739fa4549fbf29a514522", "standalone_title": "Multiplication and division", "y_pos": 0.0, "current_revision_key": "272b60417b922a6af7e739fa4549fbf29a514522", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic", "translated_standalone_title": "Fractions", "translated_title": "Fractions", "gplus_url": "", "id": "xfaed0f99", "old_key_name": null, "hide": false, "title": "Fractions", "child_data": [{"kind": "Topic", "id": "xfb2d260b"}, {"kind": "Topic", "id": "xc9050d10"}, {"kind": "Topic", "id": "x3a399a2d"}, {"kind": "Topic", "id": "x1898834a"}, {"kind": "Topic", "id": "xf78308be"}, {"kind": "Topic", "id": "x9e89943d"}, {"kind": "Topic", "id": "x06ed16fd"}, {"kind": "Topic", "id": "x15e62519"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac", "translated_standalone_title": "Visualizing equivalent fractions", "translated_title": "Visualizing equivalent fractions", "gplus_url": "", "id": "xfb2d260b", "old_key_name": null, "hide": false, "title": "Visualizing equivalent fractions", "child_data": [{"kind": "Video", "id": "x22c750f5"}, {"kind": "Video", "id": "x885328b8"}, {"kind": "Video", "id": "xbb1f3e19"}, {"kind": "Video", "id": "x0cf6f29a"}, {"kind": "Video", "id": "x0042edbf"}, {"kind": "Exercise", "id": "x7da0867d"}, {"kind": "Video", "id": "xa40a399e"}, {"kind": "Video", "id": 2600705}, {"kind": "Exercise", "id": 3018}, {"kind": "Video", "id": "x50b65664"}, {"kind": "Exercise", "id": 280682094}], "children": [{"translated_youtube_id": "N1X0vf5PUz4", "relative_url": "/video/equivalent-amount-of-pizza", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-amount-of-pizza", "duration": 258, "translated_title": "Introduction to equivalent fractions", "translated_description_html": "", "id": "x22c750f5", "description_html": "", "title": "Introduction to equivalent fractions", "progress_key": "vx22c750f5", "edit_slug": "edit/v/x22c750f5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/equivalent-amount-of-pizza", "deleted": false, "backup_timestamp": "2013-11-13T19:11:45Z", "date_added": "2013-11-13T19:11:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N1X0vf5PUz4.mp4/N1X0vf5PUz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N1X0vf5PUz4.mp4/N1X0vf5PUz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N1X0vf5PUz4.m3u8/N1X0vf5PUz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N1X0vf5PUz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx22c750f5", "sha": "4ed8066b66f24b5c6c0429ff8ae49f0da749e73f", "translated_description": "", "image_url": "https://img.youtube.com/vi/N1X0vf5PUz4/hqdefault.jpg", "youtube_id": "N1X0vf5PUz4", "content_kind": "Video", "readable_id": "equivalent-amount-of-pizza"}, {"translated_youtube_id": "Bt60JVZRVCI", "relative_url": "/video/visualizing-equivalent-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visualizing-equivalent-fractions", "duration": 225, "translated_title": "Visualizing equivalent fractions", "translated_description_html": "", "id": "x885328b8", "description_html": "", "title": "Visualizing equivalent fractions", "progress_key": "vx885328b8", "edit_slug": "edit/v/x885328b8", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/visualizing-equivalent-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.mp4/Bt60JVZRVCI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.mp4/Bt60JVZRVCI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.m3u8/Bt60JVZRVCI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bt60JVZRVCI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx885328b8", "sha": "0d2fc71134459858862dae53beb37f940c539585", "translated_description": "", "image_url": "https://img.youtube.com/vi/Bt60JVZRVCI/hqdefault.jpg", "youtube_id": "Bt60JVZRVCI", "content_kind": "Video", "readable_id": "visualizing-equivalent-fractions"}, {"translated_youtube_id": "dCQbfaQZtaY", "relative_url": "/video/equivalent-fraction-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example", "duration": 241, "translated_title": "Equivalent fraction word problem example", "translated_description_html": "", "id": "xbb1f3e19", "description_html": "", "title": "Equivalent fraction word problem example", "progress_key": "vxbb1f3e19", "edit_slug": "edit/v/xbb1f3e19", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.mp4/dCQbfaQZtaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.mp4/dCQbfaQZtaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.m3u8/dCQbfaQZtaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dCQbfaQZtaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb1f3e19", "sha": "6f808323325a5d1ce0aaf5a51d840316e245098d", "translated_description": "", "image_url": "https://img.youtube.com/vi/dCQbfaQZtaY/hqdefault.jpg", "youtube_id": "dCQbfaQZtaY", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example"}, {"translated_youtube_id": "i-sAB-Z2_bE", "relative_url": "/video/equivalent-fraction-word-problem-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example-2", "duration": 121, "translated_title": "Equivalent fraction word problem example 2", "translated_description_html": "", "id": "x0cf6f29a", "description_html": "", "title": "Equivalent fraction word problem example 2", "progress_key": "vx0cf6f29a", "edit_slug": "edit/v/x0cf6f29a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.mp4/i-sAB-Z2_bE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.mp4/i-sAB-Z2_bE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.m3u8/i-sAB-Z2_bE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i-sAB-Z2_bE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0cf6f29a", "sha": "cec1073f5c75097a7d5ac64f60bbd9491fef205f", "translated_description": "", "image_url": "https://img.youtube.com/vi/i-sAB-Z2_bE/hqdefault.jpg", "youtube_id": "i-sAB-Z2_bE", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example-2"}, {"translated_youtube_id": "2nZsIeaiJUo", "relative_url": "/video/equivalent-fraction-word-problem-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example-3", "duration": 255, "translated_title": "Equivalent fraction word problem example 3", "translated_description_html": "", "id": "x0042edbf", "description_html": "", "title": "Equivalent fraction word problem example 3", "progress_key": "vx0042edbf", "edit_slug": "edit/v/x0042edbf", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T17:56:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.mp4/2nZsIeaiJUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.mp4/2nZsIeaiJUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.m3u8/2nZsIeaiJUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2nZsIeaiJUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0042edbf", "sha": "5b3dae8fca176498620596cfdcda68418231804c", "translated_description": "", "image_url": "https://img.youtube.com/vi/2nZsIeaiJUo/hqdefault.jpg", "youtube_id": "2nZsIeaiJUo", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example-3"}, {"translated_youtube_id": "yZqVJtDO7gc", "relative_url": "/video/more-equivalent-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-equivalent-fractions", "duration": 294, "translated_title": "More on equivalent fractions", "translated_description_html": "", "id": "xa40a399e", "description_html": "", "title": "More on equivalent fractions", "progress_key": "vxa40a399e", "edit_slug": "edit/v/xa40a399e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/more-equivalent-fractions", "deleted": false, "backup_timestamp": "2013-11-13T19:11:45Z", "date_added": "2013-11-13T19:11:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yZqVJtDO7gc.mp4/yZqVJtDO7gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yZqVJtDO7gc.mp4/yZqVJtDO7gc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yZqVJtDO7gc.m3u8/yZqVJtDO7gc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yZqVJtDO7gc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa40a399e", "sha": "62bbddfac2270578e377f8a594db63a63746248f", "translated_description": "", "image_url": "https://img.youtube.com/vi/yZqVJtDO7gc/hqdefault.jpg", "youtube_id": "yZqVJtDO7gc", "content_kind": "Video", "readable_id": "more-equivalent-fractions"}, {"translated_youtube_id": "0JW9P_T4P_Y", "relative_url": "/video/equivalent-fractions-example", "has_questions": "live", "keywords": "U02_L1_T4_we1, Equivalent, Fractions", "ka_url": "http://www.khanacademy.org/video/equivalent-fractions-example", "duration": 290, "translated_title": "Equivalent fractions example", "translated_description_html": "Equivalent Fractions", "id": "2600705", "description_html": "Equivalent Fractions", "title": "Equivalent fractions example", "progress_key": "v2600705", "edit_slug": "edit/v/2600705", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equivalent Fractions", "extra_properties": null, "node_slug": "v/equivalent-fractions-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.m3u8/0JW9P_T4P_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0JW9P_T4P_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600705", "sha": "823a92a5b2ead99ee2d8c7f0ccaa6232f69e53f1", "translated_description": "Equivalent Fractions", "image_url": "https://img.youtube.com/vi/0JW9P_T4P_Y/hqdefault.jpg", "youtube_id": "0JW9P_T4P_Y", "content_kind": "Video", "readable_id": "equivalent-fractions-example"}, {"translated_youtube_id": "xeLeYS7GRvY", "relative_url": "/video/fractions-cut-and-copy-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-cut-and-copy-1-exercise", "duration": 207, "translated_title": "Fractions cut and copy 1 exercise", "translated_description_html": "", "id": "x50b65664", "description_html": "", "title": "Fractions cut and copy 1 exercise", "progress_key": "vx50b65664", "edit_slug": "edit/v/x50b65664", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fractions-cut-and-copy-1-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T16:25:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.mp4/xeLeYS7GRvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.mp4/xeLeYS7GRvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.m3u8/xeLeYS7GRvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xeLeYS7GRvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx50b65664", "sha": "0793df657eac3735c9b8697b68eaa48be8992985", "translated_description": "", "image_url": "https://img.youtube.com/vi/xeLeYS7GRvY/hqdefault.jpg", "youtube_id": "xeLeYS7GRvY", "content_kind": "Video", "readable_id": "fractions-cut-and-copy-1-exercise"}], "twitter_url": "", "translated_description": "Do you want 2/3 or 4/6 of this pizza? Doesn't matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.\n\nCommon Core Standard: 4.NF.A.1\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Do you want 2/3 or 4/6 of this pizza? Doesn't matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.\n\nCommon Core Standard: 4.NF.A.1\t", "x_pos": 0.0, "node_slug": "cc-4th-visualizing-equiv-frac", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfb2d260b", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac", "slug": "cc-4th-visualizing-equiv-frac", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c7831aaefc717ea41f51288e6d007b705ce8959f", "standalone_title": "Visualizing equivalent fractions", "y_pos": 0.0, "current_revision_key": "c7831aaefc717ea41f51288e6d007b705ce8959f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions", "translated_standalone_title": "Comparing fractions", "translated_title": "Comparing fractions", "gplus_url": "", "id": "xc9050d10", "old_key_name": null, "hide": false, "title": "Comparing fractions", "child_data": [{"kind": "Video", "id": 153770147}, {"kind": "Exercise", "id": 196034489}, {"kind": "Video", "id": 211177354}, {"kind": "Exercise", "id": 205280964}], "children": [{"translated_youtube_id": "2dbasvm3iG0", "relative_url": "/video/comparing-fractions-2", "has_questions": false, "keywords": "u2_l1_t5_we2, Comparing, Fractions, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-2", "duration": 428, "translated_title": "Comparing fractions 2", "translated_description_html": "Comparing Fractions", "id": "153770147", "description_html": "Comparing Fractions", "title": "Comparing fractions 2", "progress_key": "v153770147", "edit_slug": "edit/v/153770147", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Fractions", "extra_properties": null, "node_slug": "v/comparing-fractions-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.mp4/2dbasvm3iG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.mp4/2dbasvm3iG0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.m3u8/2dbasvm3iG0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2dbasvm3iG0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770147", "sha": "dd32d21941d943062dce990bf0cb1da8b739f566", "translated_description": "Comparing Fractions", "image_url": "https://img.youtube.com/vi/2dbasvm3iG0/hqdefault.jpg", "youtube_id": "2dbasvm3iG0", "content_kind": "Video", "readable_id": "comparing-fractions-2"}, {"translated_youtube_id": "N8dIOmk_lHs", "relative_url": "/video/ordering-fractions", "has_questions": false, "keywords": "fractions, least, common, multiple, LCM", "ka_url": "http://www.khanacademy.org/video/ordering-fractions", "duration": 468, "translated_title": "Ordering fractions", "translated_description_html": "Finding common denominators of multiple fractions to order them", "id": "211177354", "description_html": "Finding common denominators of multiple fractions to order them", "title": "Ordering fractions", "progress_key": "v211177354", "edit_slug": "edit/v/211177354", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Finding common denominators of multiple fractions to order them", "extra_properties": {"original_url": ""}, "node_slug": "v/ordering-fractions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.mp4/N8dIOmk_lHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.mp4/N8dIOmk_lHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.m3u8/N8dIOmk_lHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N8dIOmk_lHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177354", "sha": "1df2e09eb12d417994955bcf637ed11179e07aac", "translated_description": "Finding common denominators of multiple fractions to order them", "image_url": "https://img.youtube.com/vi/N8dIOmk_lHs/hqdefault.jpg", "youtube_id": "N8dIOmk_lHs", "content_kind": "Video", "readable_id": "ordering-fractions"}], "twitter_url": "", "translated_description": "In this tutorial, we'll practice understanding what quantities fractions actually represent and comparing those to each other.\n\nCommon Core Standard 4.NF.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll practice understanding what quantities fractions actually represent and comparing those to each other.\n\nCommon Core Standard 4.NF.A.2", "x_pos": 0.0, "node_slug": "cc-4th-comparing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc9050d10", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions", "slug": "cc-4th-comparing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f5aa6a99520d76ba6b77d3fc1205d0bcd26dd202", "standalone_title": "Comparing fractions", "y_pos": 0.0, "current_revision_key": "f5aa6a99520d76ba6b77d3fc1205d0bcd26dd202", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-adding-subtracting-frac", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-adding-subtracting-frac", "translated_standalone_title": "Adding and subtracting fractions with common denominators", "translated_title": "Adding and subtracting fractions with common denominators", "gplus_url": "", "id": "x3a399a2d", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions with common denominators", "child_data": [{"kind": "Video", "id": 2600768}, {"kind": "Exercise", "id": 66768579}, {"kind": "Video", "id": 2600773}, {"kind": "Exercise", "id": 66792177}], "children": [{"translated_youtube_id": "EJjnEau6aeI", "relative_url": "/video/adding-fractions-with-like-denominators", "has_questions": false, "keywords": "U02_L3_T1_we1, Adding, Fractions, with, Like, Denominators, CC_4_MD_2, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_c, CC_4_NF_3_d", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-like-denominators", "duration": 198, "translated_title": "Adding fractions with like denominators", "translated_description_html": "Adding Fractions with Like Denominators", "id": "2600768", "description_html": "Adding Fractions with Like Denominators", "title": "Adding fractions with like denominators", "progress_key": "v2600768", "edit_slug": "edit/v/2600768", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Fractions with Like Denominators", "extra_properties": null, "node_slug": "v/adding-fractions-with-like-denominators", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.mp4/EJjnEau6aeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.mp4/EJjnEau6aeI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.m3u8/EJjnEau6aeI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EJjnEau6aeI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600768", "sha": "440f36e789fe15dbffda4f63d65d2849a9c76d9f", "translated_description": "Adding Fractions with Like Denominators", "image_url": "https://img.youtube.com/vi/EJjnEau6aeI/hqdefault.jpg", "youtube_id": "EJjnEau6aeI", "content_kind": "Video", "readable_id": "adding-fractions-with-like-denominators"}, {"translated_youtube_id": "UbUdyE1_b9g", "relative_url": "/video/subtracting--fractions", "has_questions": false, "keywords": "U02_L3_T2_we1, Subtracting, Fractions", "ka_url": "http://www.khanacademy.org/video/subtracting--fractions", "duration": 146, "translated_title": "Subtracting fractions", "translated_description_html": "Subtracting Fractions", "id": "2600773", "description_html": "Subtracting Fractions", "title": "Subtracting fractions", "progress_key": "v2600773", "edit_slug": "edit/v/2600773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Fractions", "extra_properties": null, "node_slug": "v/subtracting--fractions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.mp4/UbUdyE1_b9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.mp4/UbUdyE1_b9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.m3u8/UbUdyE1_b9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UbUdyE1_b9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600773", "sha": "fb1f34c89a90059840f87832d30a27c336d88855", "translated_description": "Subtracting Fractions", "image_url": "https://img.youtube.com/vi/UbUdyE1_b9g/hqdefault.jpg", "youtube_id": "UbUdyE1_b9g", "content_kind": "Video", "readable_id": "subtracting--fractions"}], "twitter_url": "", "translated_description": "You've already got 1/4 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3/4 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions is key.\n\nCommon Core Standards 4.NF.B.3, 4.NF.B.3a\n\n\t\t\n\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You've already got 1/4 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3/4 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions is key.\n\nCommon Core Standards 4.NF.B.3, 4.NF.B.3a\n\n\t\t\n\n", "x_pos": 0.0, "node_slug": "cc-4th-adding-subtracting-frac", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3a399a2d", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-adding-subtracting-frac", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-adding-subtracting-frac", "slug": "cc-4th-adding-subtracting-frac", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6a3c3267cc5fc05461ad3edd96b24f6c3777a338", "standalone_title": "Adding and subtracting fractions with common denominators", "y_pos": 0.0, "current_revision_key": "6a3c3267cc5fc05461ad3edd96b24f6c3777a338", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems", "translated_standalone_title": "Adding and subtracting fractions word problems", "translated_title": "Adding and subtracting fractions word problems", "gplus_url": "", "id": "x1898834a", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions word problems", "child_data": [{"kind": "Video", "id": "x9b1143b5"}, {"kind": "Exercise", "id": 196083980}, {"kind": "Video", "id": "x0913bd5c"}, {"kind": "Video", "id": "xa613e211"}, {"kind": "Video", "id": "xcd390cf1"}, {"kind": "Exercise", "id": "x7a896723"}], "children": [{"translated_youtube_id": "u2hLYcmI5y4", "relative_url": "/video/fraction-word-problems-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fraction-word-problems-1-exercise", "duration": 319, "translated_title": "Fraction word problems 1 exercise", "translated_description_html": "", "id": "x9b1143b5", "description_html": "", "title": "Fraction word problems 1 exercise", "progress_key": "vx9b1143b5", "edit_slug": "edit/v/x9b1143b5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fraction-word-problems-1-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T18:08:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.mp4/u2hLYcmI5y4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.mp4/u2hLYcmI5y4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.m3u8/u2hLYcmI5y4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u2hLYcmI5y4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9b1143b5", "sha": "ea3521c6b8e436bd7bd4e918d796227b5b6de4d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/u2hLYcmI5y4/hqdefault.jpg", "youtube_id": "u2hLYcmI5y4", "content_kind": "Video", "readable_id": "fraction-word-problems-1-exercise"}, {"translated_youtube_id": "5r2FYszC_sU", "relative_url": "/video/adding-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-word-problem-1", "duration": 105, "translated_title": "What fraction of spider eyes are looking at me?", "translated_description_html": "", "id": "x0913bd5c", "description_html": "", "title": "What fraction of spider eyes are looking at me?", "progress_key": "vx0913bd5c", "edit_slug": "edit/v/x0913bd5c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-08T20:31:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.mp4/5r2FYszC_sU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.mp4/5r2FYszC_sU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.m3u8/5r2FYszC_sU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5r2FYszC_sU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0913bd5c", "sha": "18902b416cf50d3d08afc2adaa20cf3f0bedf695", "translated_description": "", "image_url": "https://img.youtube.com/vi/5r2FYszC_sU/hqdefault.jpg", "youtube_id": "5r2FYszC_sU", "content_kind": "Video", "readable_id": "adding-fractions-word-problem-1"}, {"translated_youtube_id": "0njioQqIxKY", "relative_url": "/video/subtracting-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-word-problem-1", "duration": 184, "translated_title": "How much more piano practice?", "translated_description_html": "", "id": "xa613e211", "description_html": "", "title": "How much more piano practice?", "progress_key": "vxa613e211", "edit_slug": "edit/v/xa613e211", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/subtracting-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T20:31:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.mp4/0njioQqIxKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.mp4/0njioQqIxKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.m3u8/0njioQqIxKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0njioQqIxKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa613e211", "sha": "8047caebe83f9e8831c715115f393f710e745785", "translated_description": "", "image_url": "https://img.youtube.com/vi/0njioQqIxKY/hqdefault.jpg", "youtube_id": "0njioQqIxKY", "content_kind": "Video", "readable_id": "subtracting-fractions-word-problem-1"}, {"translated_youtube_id": "gPbN26bYyN8", "relative_url": "/video/adding-fractions-word-problem-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-word-problem-2", "duration": 149, "translated_title": "How long is this lizard?", "translated_description_html": "", "id": "xcd390cf1", "description_html": "", "title": "How long is this lizard?", "progress_key": "vxcd390cf1", "edit_slug": "edit/v/xcd390cf1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-word-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T20:31:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.mp4/gPbN26bYyN8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.mp4/gPbN26bYyN8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.m3u8/gPbN26bYyN8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gPbN26bYyN8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcd390cf1", "sha": "afdcb7f6d94c22b67f11fb5c726e222420b5b37d", "translated_description": "", "image_url": "https://img.youtube.com/vi/gPbN26bYyN8/hqdefault.jpg", "youtube_id": "gPbN26bYyN8", "content_kind": "Video", "readable_id": "adding-fractions-word-problem-2"}], "twitter_url": "", "translated_description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!", "x_pos": 0.0, "node_slug": "cc-4th-add-sub-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1898834a", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems", "slug": "cc-4th-add-sub-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ba169ad831aef151eee8bb14cdc5044908054ac0", "standalone_title": "Adding and subtracting fractions word problems", "y_pos": 0.0, "current_revision_key": "ba169ad831aef151eee8bb14cdc5044908054ac0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mixed-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mixed-numbers", "translated_standalone_title": "Mixed numbers", "translated_title": "Mixed numbers", "gplus_url": "", "id": "xf78308be", "old_key_name": null, "hide": false, "title": "Mixed numbers", "child_data": [{"kind": "Video", "id": 2600700}, {"kind": "Video", "id": 2600701}, {"kind": "Exercise", "id": 213328056}, {"kind": "Video", "id": "xf78b285e"}, {"kind": "Exercise", "id": 460972000}, {"kind": "Video", "id": 915206106}, {"kind": "Video", "id": 915126178}, {"kind": "Exercise", "id": 460926478}], "children": [{"translated_youtube_id": "xkg7370cpjs", "relative_url": "/video/changing-a-mixed-number-to-an-improper-fraction", "has_questions": false, "keywords": "U02_L1_T2_we2, Changing, Mixed, Number, to, an, Improper, Fraction", "ka_url": "http://www.khanacademy.org/video/changing-a-mixed-number-to-an-improper-fraction", "duration": 403, "translated_title": "Changing a mixed number to an improper fraction", "translated_description_html": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "id": "2600700", "description_html": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "title": "Changing a mixed number to an improper fraction", "progress_key": "v2600700", "edit_slug": "edit/v/2600700", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "extra_properties": null, "node_slug": "v/changing-a-mixed-number-to-an-improper-fraction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.m3u8/xkg7370cpjs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xkg7370cpjs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600700", "sha": "5aa138c9c9c1a2d0a5915f396d9c273ecaaa91fb", "translated_description": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "image_url": "https://img.youtube.com/vi/xkg7370cpjs/hqdefault.jpg", "youtube_id": "xkg7370cpjs", "content_kind": "Video", "readable_id": "changing-a-mixed-number-to-an-improper-fraction"}, {"translated_youtube_id": "8JyPzTeA_8w", "relative_url": "/video/changing-an-improper-fraction-to-a-mixed-number", "has_questions": false, "keywords": "U02_L1_T2_we3, Changing, an, Improper, Fraction, to, Mixed, Number, CC_4_NF_3_c", "ka_url": "http://www.khanacademy.org/video/changing-an-improper-fraction-to-a-mixed-number", "duration": 242, "translated_title": "Changing an improper fraction to a mixed number", "translated_description_html": "Changing an Improper Fraction to a Mixed Number", "id": "2600701", "description_html": "Changing an Improper Fraction to a Mixed Number", "title": "Changing an improper fraction to a mixed number", "progress_key": "v2600701", "edit_slug": "edit/v/2600701", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Changing an Improper Fraction to a Mixed Number", "extra_properties": null, "node_slug": "v/changing-an-improper-fraction-to-a-mixed-number", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.m3u8/8JyPzTeA_8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8JyPzTeA_8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600701", "sha": "fb73a5c429d8393c7a123a8338aec306fcedb83a", "translated_description": "Changing an Improper Fraction to a Mixed Number", "image_url": "https://img.youtube.com/vi/8JyPzTeA_8w/hqdefault.jpg", "youtube_id": "8JyPzTeA_8w", "content_kind": "Video", "readable_id": "changing-an-improper-fraction-to-a-mixed-number"}, {"translated_youtube_id": "g-SfwjbpA4U", "relative_url": "/video/postive-improper-fractions-on-the-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/postive-improper-fractions-on-the-number-line", "duration": 132, "translated_title": "Positive improper fractions on the number line", "translated_description_html": "", "id": "xf78b285e", "description_html": "", "title": "Positive improper fractions on the number line", "progress_key": "vxf78b285e", "edit_slug": "edit/v/xf78b285e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/postive-improper-fractions-on-the-number-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T18:00:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.mp4/g-SfwjbpA4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.mp4/g-SfwjbpA4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.m3u8/g-SfwjbpA4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g-SfwjbpA4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf78b285e", "sha": "638592ffcfb0641922b09b38504cf1a9f496f35e", "translated_description": "", "image_url": "https://img.youtube.com/vi/g-SfwjbpA4U/hqdefault.jpg", "youtube_id": "g-SfwjbpA4U", "content_kind": "Video", "readable_id": "postive-improper-fractions-on-the-number-line"}, {"translated_youtube_id": "EGy1W24EPEI", "relative_url": "/video/adding-subtracting-mixed-numbers-0-5--ex-1", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 0, 5, ex, 1", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-0-5--ex-1", "duration": 95, "translated_title": "Adding mixed numbers with like denominators", "translated_description_html": "

Adding and subtracting mixed numbers 0.5 (ex 1)<\/p>\n", "id": "915206106", "description_html": "

Adding and subtracting mixed numbers 0.5 (ex 1)<\/p>\n", "title": "Adding mixed numbers with like denominators", "progress_key": "v915206106", "edit_slug": "edit/v/915206106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and subtracting mixed numbers 0.5 (ex 1)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-0-5--ex-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-07-23T22:02:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.m3u8/EGy1W24EPEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EGy1W24EPEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915206106", "sha": "57a2fea4a4cee31cd9dc1931bd34901cbfd921a7", "translated_description": "Adding and subtracting mixed numbers 0.5 (ex 1)\n", "image_url": "https://img.youtube.com/vi/EGy1W24EPEI/hqdefault.jpg", "youtube_id": "EGy1W24EPEI", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-0-5--ex-1"}, {"translated_youtube_id": "q19UnHEofOA", "relative_url": "/video/adding-subtracting-mixed-numbers-0-5--ex-2", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 0, 5, ex, 2", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-0-5--ex-2", "duration": 151, "translated_title": "Subtracting mixed numbers with like denominators", "translated_description_html": "

Adding and subtracting mixed numbers 0.5 (ex 2)<\/p>\n", "id": "915126178", "description_html": "

Adding and subtracting mixed numbers 0.5 (ex 2)<\/p>\n", "title": "Subtracting mixed numbers with like denominators", "progress_key": "v915126178", "edit_slug": "edit/v/915126178", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and subtracting mixed numbers 0.5 (ex 2)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-0-5--ex-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:02:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.m3u8/q19UnHEofOA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q19UnHEofOA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915126178", "sha": "9ef14128fe231a6036a628090f285589660b0549", "translated_description": "Adding and subtracting mixed numbers 0.5 (ex 2)\n", "image_url": "https://img.youtube.com/vi/q19UnHEofOA/hqdefault.jpg", "youtube_id": "q19UnHEofOA", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-0-5--ex-2"}], "twitter_url": "", "translated_description": "We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a \"proper fraction\" (one where the numerator is less than the denominator) which is called a \"mixed number.\" They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!\n\nCommon Core Standard: 4.NF.B.3c\t\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a \"proper fraction\" (one where the numerator is less than the denominator) which is called a \"mixed number.\" They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!\n\nCommon Core Standard: 4.NF.B.3c\t\t", "x_pos": 0.0, "node_slug": "cc-4th-mixed-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf78308be", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mixed-numbers", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mixed-numbers", "slug": "cc-4th-mixed-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "439165c27dc576721912e0d45fe5a33e18d31241", "standalone_title": "Mixed numbers", "y_pos": 0.0, "current_revision_key": "439165c27dc576721912e0d45fe5a33e18d31241", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decomposing fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decomposing fractions", "translated_standalone_title": "Decomposing fractions", "translated_title": "Decomposing fractions", "gplus_url": "", "id": "x9e89943d", "old_key_name": null, "hide": false, "title": "Decomposing fractions", "child_data": [{"kind": "Video", "id": "xe27e78d0"}, {"kind": "Video", "id": "x5939f38d"}, {"kind": "Video", "id": "xd56dd640"}, {"kind": "Exercise", "id": "x8d34d703"}], "children": [{"translated_youtube_id": "_E9fG8BYcBo", "relative_url": "/video/decomposing-a-fraction-visually", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decomposing-a-fraction-visually", "duration": 299, "translated_title": "Decomposing a fraction visually", "translated_description_html": "", "id": "xe27e78d0", "description_html": "", "title": "Decomposing a fraction visually", "progress_key": "vxe27e78d0", "edit_slug": "edit/v/xe27e78d0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decomposing-a-fraction-visually", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.mp4/_E9fG8BYcBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.mp4/_E9fG8BYcBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.m3u8/_E9fG8BYcBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_E9fG8BYcBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe27e78d0", "sha": "0181181dc3aa7019498f4f7f33e38d09972eabee", "translated_description": "", "image_url": "https://img.youtube.com/vi/_E9fG8BYcBo/hqdefault.jpg", "youtube_id": "_E9fG8BYcBo", "content_kind": "Video", "readable_id": "decomposing-a-fraction-visually"}, {"translated_youtube_id": "erZe85NrsK0", "relative_url": "/video/decomposing-a-mixed-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decomposing-a-mixed-number", "duration": 300, "translated_title": "Decomposing a mixed number", "translated_description_html": "", "id": "x5939f38d", "description_html": "", "title": "Decomposing a mixed number", "progress_key": "vx5939f38d", "edit_slug": "edit/v/x5939f38d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decomposing-a-mixed-number", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.mp4/erZe85NrsK0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.mp4/erZe85NrsK0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.m3u8/erZe85NrsK0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=erZe85NrsK0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5939f38d", "sha": "25da2c7f57dcd00000565421cc1fd5eb183a0cc1", "translated_description": "", "image_url": "https://img.youtube.com/vi/erZe85NrsK0/hqdefault.jpg", "youtube_id": "erZe85NrsK0", "content_kind": "Video", "readable_id": "decomposing-a-mixed-number"}, {"translated_youtube_id": "l_Qj6aC6RV8", "relative_url": "/video/adding-up-to-a-fraction-drag-and-drop-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-up-to-a-fraction-drag-and-drop-example", "duration": 96, "translated_title": "Adding up to a fraction drag and drop example", "translated_description_html": "", "id": "xd56dd640", "description_html": "", "title": "Adding up to a fraction drag and drop example", "progress_key": "vxd56dd640", "edit_slug": "edit/v/xd56dd640", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-up-to-a-fraction-drag-and-drop-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.mp4/l_Qj6aC6RV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.mp4/l_Qj6aC6RV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.m3u8/l_Qj6aC6RV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l_Qj6aC6RV8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd56dd640", "sha": "4324cf1652735b02714d8b9bda15bd952a3408a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/l_Qj6aC6RV8/hqdefault.jpg", "youtube_id": "l_Qj6aC6RV8", "content_kind": "Video", "readable_id": "adding-up-to-a-fraction-drag-and-drop-example"}], "twitter_url": "", "translated_description": "In this tutorial, we'll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this.\n\nCommon Core Standard: 4.NF.B.3b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this.\n\nCommon Core Standard: 4.NF.B.3b", "x_pos": 0.0, "node_slug": "cc-4th-decomposing fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9e89943d", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decomposing fractions", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decomposing fractions", "slug": "cc-4th-decomposing fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e6ddab40a1d91b8d22274adc5ec1f52dae7b9215", "standalone_title": "Decomposing fractions", "y_pos": 0.0, "current_revision_key": "e6ddab40a1d91b8d22274adc5ec1f52dae7b9215", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac", "translated_standalone_title": "Multiplying whole numbers and fractions", "translated_title": "Multiplying whole numbers and fractions", "gplus_url": "", "id": "x06ed16fd", "old_key_name": null, "hide": false, "title": "Multiplying whole numbers and fractions", "child_data": [{"kind": "Video", "id": "x3769a3bc"}, {"kind": "Video", "id": "x848c25e5"}, {"kind": "Video", "id": "x8320c937"}, {"kind": "Exercise", "id": "xa822da61"}, {"kind": "Exercise", "id": "xdd0887d4"}, {"kind": "Video", "id": "x487557ed"}, {"kind": "Video", "id": "x8737839e"}, {"kind": "Video", "id": "x683d1719"}, {"kind": "Exercise", "id": "x8ab11134"}], "children": [{"translated_youtube_id": "4PlkCiEXBQI", "relative_url": "/video/multiplying-fractions-and-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-and-whole-numbers", "duration": 188, "translated_title": "Multiplying fractions and whole numbers", "translated_description_html": "", "id": "x3769a3bc", "description_html": "", "title": "Multiplying fractions and whole numbers", "progress_key": "vx3769a3bc", "edit_slug": "edit/v/x3769a3bc", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-fractions-and-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-14T14:46:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.m3u8/4PlkCiEXBQI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PlkCiEXBQI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3769a3bc", "sha": "dad37fcf9165ee7fba8dd7b6d7b98a49000339a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/4PlkCiEXBQI/hqdefault.jpg", "youtube_id": "4PlkCiEXBQI", "content_kind": "Video", "readable_id": "multiplying-fractions-and-whole-numbers"}, {"translated_youtube_id": "XaJQse2u5TQ", "relative_url": "/video/concept-whole-fraction-mult", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/concept-whole-fraction-mult", "duration": 246, "translated_title": "Conceptual understanding of multiplying fractions and whole numbers", "translated_description_html": "", "id": "x848c25e5", "description_html": "", "title": "Conceptual understanding of multiplying fractions and whole numbers", "progress_key": "vx848c25e5", "edit_slug": "edit/v/x848c25e5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/concept-whole-fraction-mult", "deleted": false, "backup_timestamp": "2013-10-24T13:44:58Z", "date_added": "2013-10-24T13:44:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XaJQse2u5TQ.mp4/XaJQse2u5TQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XaJQse2u5TQ.mp4/XaJQse2u5TQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XaJQse2u5TQ.m3u8/XaJQse2u5TQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XaJQse2u5TQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx848c25e5", "sha": "07f6080e0727ab7abf2da3702f7f6de6af825f44", "translated_description": "", "image_url": "https://img.youtube.com/vi/XaJQse2u5TQ/hqdefault.jpg", "youtube_id": "XaJQse2u5TQ", "content_kind": "Video", "readable_id": "concept-whole-fraction-mult"}, {"translated_youtube_id": "ZlhrXO1-osA", "relative_url": "/video/fraction-whole-multiplication-concept", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fraction-whole-multiplication-concept", "duration": 164, "translated_title": "Whole number and fraction multiplication concept", "translated_description_html": "", "id": "x8320c937", "description_html": "", "title": "Whole number and fraction multiplication concept", "progress_key": "vx8320c937", "edit_slug": "edit/v/x8320c937", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fraction-whole-multiplication-concept", "deleted": false, "backup_timestamp": "2013-10-24T16:51:24Z", "date_added": "2013-10-24T16:51:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZlhrXO1-osA.mp4/ZlhrXO1-osA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZlhrXO1-osA.mp4/ZlhrXO1-osA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZlhrXO1-osA.m3u8/ZlhrXO1-osA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZlhrXO1-osA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8320c937", "sha": "e306602a8091a22f7c19cedc324c92a71f11fbcc", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZlhrXO1-osA/hqdefault.jpg", "youtube_id": "ZlhrXO1-osA", "content_kind": "Video", "readable_id": "fraction-whole-multiplication-concept"}, {"translated_youtube_id": "Yq9W6B7XnmU", "relative_url": "/video/multiplying-fractions-word-problem-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-2", "duration": 222, "translated_title": "How long will three movies last?", "translated_description_html": "", "id": "x487557ed", "description_html": "", "title": "How long will three movies last?", "progress_key": "vx487557ed", "edit_slug": "edit/v/x487557ed", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.m3u8/Yq9W6B7XnmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yq9W6B7XnmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx487557ed", "sha": "198c5d1c48e44ab67a2cef4b682e25f1a4246aeb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Yq9W6B7XnmU/hqdefault.jpg", "youtube_id": "Yq9W6B7XnmU", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-2"}, {"translated_youtube_id": "GvgJ2_7P9SA", "relative_url": "/video/multiplying-fractions-word-problem-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-3", "duration": 139, "translated_title": "My family loves milk", "translated_description_html": "", "id": "x8737839e", "description_html": "", "title": "My family loves milk", "progress_key": "vx8737839e", "edit_slug": "edit/v/x8737839e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.m3u8/GvgJ2_7P9SA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GvgJ2_7P9SA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8737839e", "sha": "ff48f60c7d18cc06bc7cee02150098c6beba8af9", "translated_description": "", "image_url": "https://img.youtube.com/vi/GvgJ2_7P9SA/hqdefault.jpg", "youtube_id": "GvgJ2_7P9SA", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-3"}, {"translated_youtube_id": "XDjbNykJ28E", "relative_url": "/video/multiplying-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-1", "duration": 276, "translated_title": "We must have eaten more pie!", "translated_description_html": "", "id": "x683d1719", "description_html": "", "title": "We must have eaten more pie!", "progress_key": "vx683d1719", "edit_slug": "edit/v/x683d1719", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.m3u8/XDjbNykJ28E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDjbNykJ28E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx683d1719", "sha": "455c69a639262bbf84aaa9adec55787e1b618a3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/XDjbNykJ28E/hqdefault.jpg", "youtube_id": "XDjbNykJ28E", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-1"}], "twitter_url": "", "translated_description": "If I cut a pizza into eight equal slices, we already know that each slice is 1/8 of the pizza. But what fraction of the pizza have I eaten if I eat 3 slices? Well, what is 3 x 1/8? This tutorial will explain all!\n\nCommon Core Standards: 4.NF.B.4, 4.NF.B.4a, 4.NF.B.4b\t, 4.NF.B.4c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If I cut a pizza into eight equal slices, we already know that each slice is 1/8 of the pizza. But what fraction of the pizza have I eaten if I eat 3 slices? Well, what is 3 x 1/8? This tutorial will explain all!\n\nCommon Core Standards: 4.NF.B.4, 4.NF.B.4a, 4.NF.B.4b\t, 4.NF.B.4c", "x_pos": 0.0, "node_slug": "cc-4th-mult-whole-number-frac", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax06ed16fd", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac", "slug": "cc-4th-mult-whole-number-frac", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c220a8a5b3a30bb183eebabccb7f2abc9c9defb5", "standalone_title": "Multiplying whole numbers and fractions", "y_pos": 0.0, "current_revision_key": "c220a8a5b3a30bb183eebabccb7f2abc9c9defb5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decimals-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decimals-fractions", "translated_standalone_title": "Decimals and fractions", "translated_title": "Decimals and fractions", "gplus_url": "", "id": "x15e62519", "old_key_name": null, "hide": false, "title": "Decimals and fractions", "child_data": [{"kind": "Video", "id": 915208238}, {"kind": "Video", "id": 914994686}, {"kind": "Video", "id": 915122530}, {"kind": "Exercise", "id": 231802990}, {"kind": "Video", "id": 158925082}, {"kind": "Exercise", "id": 460969021}, {"kind": "Video", "id": 13179310}, {"kind": "Exercise", "id": 460994266}, {"kind": "Video", "id": "xf518c030"}, {"kind": "Video", "id": 1807}, {"kind": "Exercise", "id": "x3c03a4f2"}], "children": [{"translated_youtube_id": "DR2DYe7PI74", "relative_url": "/video/converting-decimals-to-fractions-1--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-1", "duration": 116, "translated_title": "Converting decimals to fractions 1 (ex 1)", "translated_description_html": "", "id": "915208238", "description_html": "", "title": "Converting decimals to fractions 1 (ex 1)", "progress_key": "v915208238", "edit_slug": "edit/v/915208238", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-23T22:19:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.m3u8/DR2DYe7PI74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DR2DYe7PI74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915208238", "sha": "01e0b4594569abaff285574c3d225e256a2008c4", "translated_description": "", "image_url": "https://img.youtube.com/vi/DR2DYe7PI74/hqdefault.jpg", "youtube_id": "DR2DYe7PI74", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-1"}, {"translated_youtube_id": "9P80OLC6wKY", "relative_url": "/video/converting-decimals-to-fractions-1--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 2", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-2", "duration": 53, "translated_title": "Converting decimals to fractions 1 (ex 2)", "translated_description_html": "", "id": "914994686", "description_html": "", "title": "Converting decimals to fractions 1 (ex 2)", "progress_key": "v914994686", "edit_slug": "edit/v/914994686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-07-23T22:20:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.m3u8/9P80OLC6wKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9P80OLC6wKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v914994686", "sha": "10d5da6c1140937fb18862c823bb81452068f07c", "translated_description": "", "image_url": "https://img.youtube.com/vi/9P80OLC6wKY/hqdefault.jpg", "youtube_id": "9P80OLC6wKY", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-2"}, {"translated_youtube_id": "OS1g4PDdNdM", "relative_url": "/video/converting-decimals-to-fractions-1--ex-3", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 3", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-3", "duration": 74, "translated_title": "Converting decimals to fractions 1 (ex 3)", "translated_description_html": "", "id": "915122530", "description_html": "", "title": "Converting decimals to fractions 1 (ex 3)", "progress_key": "v915122530", "edit_slug": "edit/v/915122530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:20:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.m3u8/OS1g4PDdNdM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OS1g4PDdNdM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915122530", "sha": "fcb9cc779e080926e6fad1a0f895cd1f71920d65", "translated_description": "", "image_url": "https://img.youtube.com/vi/OS1g4PDdNdM/hqdefault.jpg", "youtube_id": "OS1g4PDdNdM", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-3"}, {"translated_youtube_id": "LpLnmuAyNWg", "relative_url": "/video/decimals-on-a-number-line", "has_questions": false, "keywords": "u03_l1_t2_we3, Decimals, on, Number, Line", "ka_url": "http://www.khanacademy.org/video/decimals-on-a-number-line", "duration": 99, "translated_title": "Decimals on a number line", "translated_description_html": "Decimals on a Number Line", "id": "158925082", "description_html": "Decimals on a Number Line", "title": "Decimals on a number line", "progress_key": "v158925082", "edit_slug": "edit/v/158925082", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Decimals on a Number Line", "extra_properties": null, "node_slug": "v/decimals-on-a-number-line", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.m3u8/LpLnmuAyNWg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LpLnmuAyNWg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925082", "sha": "e35177e50b6f354487978d67c3e96aa9ec56e13f", "translated_description": "Decimals on a Number Line", "image_url": "https://img.youtube.com/vi/LpLnmuAyNWg/hqdefault.jpg", "youtube_id": "LpLnmuAyNWg", "content_kind": "Video", "readable_id": "decimals-on-a-number-line"}, {"translated_youtube_id": "uC09taczvOo", "relative_url": "/video/points-on-a-number-line", "has_questions": false, "keywords": "U09_L1_T3_we2, Points, on, number, line, CC_2_MD_6, CC_3_NF_2, CC_3_NF_3_c, CC_4_NF_6, CC_6_NS_6, CC_6_NS_6_c, CC_6_NS_7_a", "ka_url": "http://www.khanacademy.org/video/points-on-a-number-line", "duration": 118, "translated_title": "Points on a number line", "translated_description_html": "Points on a number line", "id": "13179310", "description_html": "Points on a number line", "title": "Points on a number line", "progress_key": "v13179310", "edit_slug": "edit/v/13179310", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Points on a number line", "extra_properties": null, "node_slug": "v/points-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.m3u8/uC09taczvOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uC09taczvOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179310", "sha": "90e074a501c29a5bda8155c9b6a2db2c3c4dd6ba", "translated_description": "Points on a number line", "image_url": "https://img.youtube.com/vi/uC09taczvOo/hqdefault.jpg", "youtube_id": "uC09taczvOo", "content_kind": "Video", "readable_id": "points-on-a-number-line"}, {"translated_youtube_id": "gAV9kwvoD6s", "relative_url": "/video/comparing-decimals-1-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-1-example", "duration": 290, "translated_title": "Comparing decimals example 1", "translated_description_html": "", "id": "xf518c030", "description_html": "", "title": "Comparing decimals example 1", "progress_key": "vxf518c030", "edit_slug": "edit/v/xf518c030", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-decimals-1-example", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-08-12T18:37:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.mp4/gAV9kwvoD6s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.mp4/gAV9kwvoD6s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.m3u8/gAV9kwvoD6s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gAV9kwvoD6s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf518c030", "sha": "2dcf4f9a9ddbd30f97fcd895c9c0133254afb46c", "translated_description": "", "image_url": "https://img.youtube.com/vi/gAV9kwvoD6s/hqdefault.jpg", "youtube_id": "gAV9kwvoD6s", "content_kind": "Video", "readable_id": "comparing-decimals-1-example"}, {"translated_youtube_id": "HCC96awA-FM", "relative_url": "/video/comparing-decimals", "has_questions": false, "keywords": "U03_L1_T2_we1, Comparing, Decimals, CC_4_NF_7, CC_5_NBT_3, CC_5_NBT_3_b", "ka_url": "http://www.khanacademy.org/video/comparing-decimals", "duration": 89, "translated_title": "Comparing decimals example 2", "translated_description_html": "Comparing Decimals", "id": "1807", "description_html": "Comparing Decimals", "title": "Comparing decimals example 2", "progress_key": "v1807", "edit_slug": "edit/v/1807", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Decimals", "extra_properties": null, "node_slug": "v/comparing-decimals", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.m3u8/HCC96awA-FM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HCC96awA-FM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1807", "sha": "341a7d728e8eab270ceef9000841af8e6c46f316", "translated_description": "Comparing Decimals", "image_url": "https://img.youtube.com/vi/HCC96awA-FM/hqdefault.jpg", "youtube_id": "HCC96awA-FM", "content_kind": "Video", "readable_id": "comparing-decimals"}], "twitter_url": "", "translated_description": "Decimals and fractions are two different ways of representing the same number. In this tutorial, we'll explore converting between the two and thinking about what exactly decimals represent.\n\nCommon Core Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Decimals and fractions are two different ways of representing the same number. In this tutorial, we'll explore converting between the two and thinking about what exactly decimals represent.\n\nCommon Core Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7", "x_pos": 0.0, "node_slug": "cc-4th-decimals-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax15e62519", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decimals-fractions", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-decimals-fractions", "slug": "cc-4th-decimals-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2ea1215b1cacb5f6ca760dd0d26c2fb15b4e1913", "standalone_title": "Decimals and fractions", "y_pos": 0.0, "current_revision_key": "2ea1215b1cacb5f6ca760dd0d26c2fb15b4e1913", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "In 3rd grade, you got a basic conceptual understanding of what a fraction is. Now we dig deeper by comparing fractions and starting to perform operations on them. We also see how they relate to decimals.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In 3rd grade, you got a basic conceptual understanding of what a fraction is. Now we dig deeper by comparing fractions and starting to perform operations on them. We also see how they relate to decimals.", "x_pos": 0.0, "node_slug": "cc-4th-fractions-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfaed0f99", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fractions-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fractions-topic", "slug": "cc-4th-fractions-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0ef21df1977d9c1196bc973ce494705584f2c878", "standalone_title": "Fractions", "y_pos": 0.0, "current_revision_key": "0ef21df1977d9c1196bc973ce494705584f2c878", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic", "translated_standalone_title": "Measurement and data", "translated_title": "Measurement and data", "gplus_url": "", "id": "x58fcadff", "old_key_name": null, "hide": false, "title": "Measurement and data", "child_data": [{"kind": "Topic", "id": "xd55cd13a"}, {"kind": "Topic", "id": "xf76c8a71"}, {"kind": "Topic", "id": "x51d65f6a"}, {"kind": "Topic", "id": "x33582dbd"}, {"kind": "Topic", "id": "x6391dfd7"}, {"kind": "Topic", "id": "x7d41a01f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-US-customary", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-US-customary", "translated_standalone_title": "Metric and U.S. customary units intro", "translated_title": "Metric and U.S. customary units intro", "gplus_url": "", "id": "xd55cd13a", "old_key_name": null, "hide": false, "title": "Metric and U.S. customary units intro", "child_data": [{"kind": "Video", "id": "x58cdb0a7"}, {"kind": "Video", "id": "x9bd087b9"}, {"kind": "Video", "id": "xe79063f5"}, {"kind": "Video", "id": "xc43fda34"}, {"kind": "Video", "id": "x81f65552"}, {"kind": "Video", "id": "xb277b208"}, {"kind": "Video", "id": "xa2bc2142"}, {"kind": "Video", "id": "x5c798014"}, {"kind": "Exercise", "id": "x00ab658d"}], "children": [{"translated_youtube_id": "I3kQJvR7ZIg", "relative_url": "/video/metric-distance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/metric-distance", "duration": 416, "translated_title": "Distance in the metric system", "translated_description_html": "", "id": "x58cdb0a7", "description_html": "", "title": "Distance in the metric system", "progress_key": "vx58cdb0a7", "edit_slug": "edit/v/x58cdb0a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/metric-distance", "deleted": false, "backup_timestamp": "2013-11-14T18:06:48Z", "date_added": "2013-11-14T18:06:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I3kQJvR7ZIg.mp4/I3kQJvR7ZIg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I3kQJvR7ZIg.mp4/I3kQJvR7ZIg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I3kQJvR7ZIg.m3u8/I3kQJvR7ZIg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I3kQJvR7ZIg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx58cdb0a7", "sha": "e791fa5521e196d906418eebade3978ee25909a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/I3kQJvR7ZIg/hqdefault.jpg", "youtube_id": "I3kQJvR7ZIg", "content_kind": "Video", "readable_id": "metric-distance"}, {"translated_youtube_id": "LhMEqsL_M5o", "relative_url": "/video/metric-units-weight", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/metric-units-weight", "duration": 254, "translated_title": "Metric units for fluid volume", "translated_description_html": "", "id": "x9bd087b9", "description_html": "", "title": "Metric units for fluid volume", "progress_key": "vx9bd087b9", "edit_slug": "edit/v/x9bd087b9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/metric-units-weight", "deleted": false, "backup_timestamp": "2013-11-15T17:09:25Z", "date_added": "2013-11-15T17:09:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LhMEqsL_M5o.mp4/LhMEqsL_M5o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LhMEqsL_M5o.mp4/LhMEqsL_M5o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LhMEqsL_M5o.m3u8/LhMEqsL_M5o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LhMEqsL_M5o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9bd087b9", "sha": "01beee2c08fd10f52984df8b16dfe77c17394fb5", "translated_description": "", "image_url": "https://img.youtube.com/vi/LhMEqsL_M5o/hqdefault.jpg", "youtube_id": "LhMEqsL_M5o", "content_kind": "Video", "readable_id": "metric-units-weight"}, {"translated_youtube_id": "TD1zuENbEdk", "relative_url": "/video/metric-weight", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/metric-weight", "duration": 266, "translated_title": "Metric units for weight", "translated_description_html": "", "id": "xe79063f5", "description_html": "", "title": "Metric units for weight", "progress_key": "vxe79063f5", "edit_slug": "edit/v/xe79063f5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/metric-weight", "deleted": false, "backup_timestamp": "2013-11-15T17:09:24Z", "date_added": "2013-11-15T17:09:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TD1zuENbEdk.mp4/TD1zuENbEdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TD1zuENbEdk.mp4/TD1zuENbEdk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TD1zuENbEdk.m3u8/TD1zuENbEdk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TD1zuENbEdk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe79063f5", "sha": "4c79af4e57b9c3f25a94474c6b758b2c94d12be6", "translated_description": "", "image_url": "https://img.youtube.com/vi/TD1zuENbEdk/hqdefault.jpg", "youtube_id": "TD1zuENbEdk", "content_kind": "Video", "readable_id": "metric-weight"}, {"translated_youtube_id": "M9bisHkXbKc", "relative_url": "/video/us-customary-distance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/us-customary-distance", "duration": 311, "translated_title": "U S customary units for distance", "translated_description_html": "", "id": "xc43fda34", "description_html": "", "title": "U S customary units for distance", "progress_key": "vxc43fda34", "edit_slug": "edit/v/xc43fda34", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/us-customary-distance", "deleted": false, "backup_timestamp": "2013-11-15T07:32:31Z", "date_added": "2013-11-15T07:32:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M9bisHkXbKc.mp4/M9bisHkXbKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M9bisHkXbKc.mp4/M9bisHkXbKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M9bisHkXbKc.m3u8/M9bisHkXbKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M9bisHkXbKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc43fda34", "sha": "387b91fe1a92444a3afb95e2724074403ae36d72", "translated_description": "", "image_url": "https://img.youtube.com/vi/M9bisHkXbKc/hqdefault.jpg", "youtube_id": "M9bisHkXbKc", "content_kind": "Video", "readable_id": "us-customary-distance"}, {"translated_youtube_id": "Dj1rbIP8PHM", "relative_url": "/video/us-customary-weight", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/us-customary-weight", "duration": 220, "translated_title": "U S customary units for weight", "translated_description_html": "", "id": "x81f65552", "description_html": "", "title": "U S customary units for weight", "progress_key": "vx81f65552", "edit_slug": "edit/v/x81f65552", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/us-customary-weight", "deleted": false, "backup_timestamp": "2013-11-15T07:32:31Z", "date_added": "2013-11-15T07:32:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dj1rbIP8PHM.mp4/Dj1rbIP8PHM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dj1rbIP8PHM.mp4/Dj1rbIP8PHM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dj1rbIP8PHM.m3u8/Dj1rbIP8PHM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dj1rbIP8PHM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx81f65552", "sha": "f026c8ff080458957731476c3830d7e5f41c0342", "translated_description": "", "image_url": "https://img.youtube.com/vi/Dj1rbIP8PHM/hqdefault.jpg", "youtube_id": "Dj1rbIP8PHM", "content_kind": "Video", "readable_id": "us-customary-weight"}, {"translated_youtube_id": "eqKnx5Yk508", "relative_url": "/video/us-customary-fluid-volume", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/us-customary-fluid-volume", "duration": 441, "translated_title": "U S customary units for fluid volume", "translated_description_html": "", "id": "xb277b208", "description_html": "", "title": "U S customary units for fluid volume", "progress_key": "vxb277b208", "edit_slug": "edit/v/xb277b208", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/us-customary-fluid-volume", "deleted": false, "backup_timestamp": "2013-11-15T17:09:24Z", "date_added": "2013-11-15T17:09:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eqKnx5Yk508.mp4/eqKnx5Yk508.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eqKnx5Yk508.mp4/eqKnx5Yk508.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eqKnx5Yk508.m3u8/eqKnx5Yk508.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eqKnx5Yk508&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb277b208", "sha": "5cdc6cc0dcb260e0d0743ee73c2277e53ae1350c", "translated_description": "", "image_url": "https://img.youtube.com/vi/eqKnx5Yk508/hqdefault.jpg", "youtube_id": "eqKnx5Yk508", "content_kind": "Video", "readable_id": "us-customary-fluid-volume"}, {"translated_youtube_id": "OuaBg3Hjqoc", "relative_url": "/video/unit-sense-example-for-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-sense-example-for-exercise", "duration": 227, "translated_title": "Examples determining reasonable units", "translated_description_html": "", "id": "xa2bc2142", "description_html": "", "title": "Examples determining reasonable units", "progress_key": "vxa2bc2142", "edit_slug": "edit/v/xa2bc2142", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-sense-example-for-exercise", "deleted": false, "backup_timestamp": "2013-10-22T23:51:25Z", "date_added": "2013-10-22T23:51:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OuaBg3Hjqoc.mp4/OuaBg3Hjqoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OuaBg3Hjqoc.mp4/OuaBg3Hjqoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OuaBg3Hjqoc.m3u8/OuaBg3Hjqoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OuaBg3Hjqoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa2bc2142", "sha": "db179410b825e79f1a94a18e7556e352c47c8162", "translated_description": "", "image_url": "https://img.youtube.com/vi/OuaBg3Hjqoc/hqdefault.jpg", "youtube_id": "OuaBg3Hjqoc", "content_kind": "Video", "readable_id": "unit-sense-example-for-exercise"}, {"translated_youtube_id": "V1LloSp4PV4", "relative_url": "/video/unit-sense-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-sense-exercise-example-2", "duration": 75, "translated_title": "Pounds or ounces to measure weight", "translated_description_html": "", "id": "x5c798014", "description_html": "", "title": "Pounds or ounces to measure weight", "progress_key": "vx5c798014", "edit_slug": "edit/v/x5c798014", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-sense-exercise-example-2", "deleted": false, "backup_timestamp": "2013-10-23T13:37:58Z", "date_added": "2013-10-23T13:37:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V1LloSp4PV4.mp4/V1LloSp4PV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V1LloSp4PV4.mp4/V1LloSp4PV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V1LloSp4PV4.m3u8/V1LloSp4PV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V1LloSp4PV4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c798014", "sha": "42da017216088c629cb6f9ac17210ad3acd6a32f", "translated_description": "", "image_url": "https://img.youtube.com/vi/V1LloSp4PV4/hqdefault.jpg", "youtube_id": "V1LloSp4PV4", "content_kind": "Video", "readable_id": "unit-sense-exercise-example-2"}], "twitter_url": "", "translated_description": "The International System of Units used today is based on the metric system. The United States, however, likes to dance to a different drummer and still uses the old British Imperial System (U.S. customary system) for most of its measuring. This tutorial will introduce you to both for measuring distance, volume, weight and time.\n\nCommon Core Standard: 4.MD.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The International System of Units used today is based on the metric system. The United States, however, likes to dance to a different drummer and still uses the old British Imperial System (U.S. customary system) for most of its measuring. This tutorial will introduce you to both for measuring distance, volume, weight and time.\n\nCommon Core Standard: 4.MD.A.1", "x_pos": 0.0, "node_slug": "cc-4th-metric-US-customary", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-15T17:09:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd55cd13a", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-US-customary", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-US-customary", "slug": "cc-4th-metric-US-customary", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7283054e01e67bff245d6e58aa377677a5ff9041", "standalone_title": "Metric and U.S. customary units intro", "y_pos": 0.0, "current_revision_key": "7283054e01e67bff245d6e58aa377677a5ff9041", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion", "translated_standalone_title": "Unit conversion", "translated_title": "Unit conversion", "gplus_url": "", "id": "xf76c8a71", "old_key_name": null, "hide": false, "title": "Unit conversion", "child_data": [{"kind": "Video", "id": "xacafa3ce"}, {"kind": "Video", "id": "xe364a4f7"}, {"kind": "Video", "id": "x53e22e6d"}, {"kind": "Video", "id": "x8db1ea4b"}, {"kind": "Video", "id": "x13181fc4"}, {"kind": "Exercise", "id": "xbad2b887"}], "children": [{"translated_youtube_id": "-r7JwuSdj5M", "relative_url": "/video/time-unit-conversion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/time-unit-conversion", "duration": 202, "translated_title": "Converting between units of time", "translated_description_html": "", "id": "xacafa3ce", "description_html": "", "title": "Converting between units of time", "progress_key": "vxacafa3ce", "edit_slug": "edit/v/xacafa3ce", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/time-unit-conversion", "deleted": false, "backup_timestamp": "2013-10-22T22:32:01Z", "date_added": "2013-10-22T22:32:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-r7JwuSdj5M.mp4/-r7JwuSdj5M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-r7JwuSdj5M.mp4/-r7JwuSdj5M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-r7JwuSdj5M.m3u8/-r7JwuSdj5M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-r7JwuSdj5M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxacafa3ce", "sha": "86a84b00d46155bb35d012d530d2a45a4634e0ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/-r7JwuSdj5M/hqdefault.jpg", "youtube_id": "-r7JwuSdj5M", "content_kind": "Video", "readable_id": "time-unit-conversion"}, {"translated_youtube_id": "zsI4g5XSlbw", "relative_url": "/video/Feet to inches exercise example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Feet to inches exercise example", "duration": 51, "translated_title": "Converting feet to inches", "translated_description_html": "


<\/p>", "id": "xe364a4f7", "description_html": "


<\/p>", "title": "Converting feet to inches", "progress_key": "vxe364a4f7", "edit_slug": "edit/v/xe364a4f7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Feet to inches exercise example", "deleted": false, "backup_timestamp": "2013-10-22T23:51:26Z", "date_added": "2013-10-22T23:51:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zsI4g5XSlbw.mp4/zsI4g5XSlbw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zsI4g5XSlbw.mp4/zsI4g5XSlbw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zsI4g5XSlbw.m3u8/zsI4g5XSlbw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zsI4g5XSlbw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe364a4f7", "sha": "cab74ce5ea544a8a146c2537c720a646b7b7a0e7", "translated_description": "", "image_url": "https://img.youtube.com/vi/zsI4g5XSlbw/hqdefault.jpg", "youtube_id": "zsI4g5XSlbw", "content_kind": "Video", "readable_id": "Feet to inches exercise example"}, {"translated_youtube_id": "9iulv2QvKwo", "relative_url": "/video/converting-metric-distance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-metric-distance", "duration": 157, "translated_title": "Converting distances in the metric system", "translated_description_html": "", "id": "x53e22e6d", "description_html": "", "title": "Converting distances in the metric system", "progress_key": "vx53e22e6d", "edit_slug": "edit/v/x53e22e6d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/converting-metric-distance", "deleted": false, "backup_timestamp": "2013-11-15T18:06:27Z", "date_added": "2013-11-15T18:06:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9iulv2QvKwo.mp4/9iulv2QvKwo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9iulv2QvKwo.mp4/9iulv2QvKwo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9iulv2QvKwo.m3u8/9iulv2QvKwo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9iulv2QvKwo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx53e22e6d", "sha": "465c19b245472af6daed6dad4addab5492e2d525", "translated_description": "", "image_url": "https://img.youtube.com/vi/9iulv2QvKwo/hqdefault.jpg", "youtube_id": "9iulv2QvKwo", "content_kind": "Video", "readable_id": "converting-metric-distance"}, {"translated_youtube_id": "9UVgO8zS474", "relative_url": "/video/converting-US-fluid-volume", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-US-fluid-volume", "duration": 157, "translated_title": "Converting fluid volume in US customary units", "translated_description_html": "", "id": "x8db1ea4b", "description_html": "", "title": "Converting fluid volume in US customary units", "progress_key": "vx8db1ea4b", "edit_slug": "edit/v/x8db1ea4b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/converting-US-fluid-volume", "deleted": false, "backup_timestamp": "2013-11-15T18:06:27Z", "date_added": "2013-11-15T18:06:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9UVgO8zS474.mp4/9UVgO8zS474.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9UVgO8zS474.mp4/9UVgO8zS474.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9UVgO8zS474.m3u8/9UVgO8zS474.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9UVgO8zS474&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8db1ea4b", "sha": "3fa99ad5d3d469326f68fd7f8510025117ed3c05", "translated_description": "", "image_url": "https://img.youtube.com/vi/9UVgO8zS474/hqdefault.jpg", "youtube_id": "9UVgO8zS474", "content_kind": "Video", "readable_id": "converting-US-fluid-volume"}, {"translated_youtube_id": "1oFv56vSvvA", "relative_url": "/video/converting-weight", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-weight", "duration": 264, "translated_title": "Converting weight in metric and US customary systems", "translated_description_html": "", "id": "x13181fc4", "description_html": "", "title": "Converting weight in metric and US customary systems", "progress_key": "vx13181fc4", "edit_slug": "edit/v/x13181fc4", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/converting-weight", "deleted": false, "backup_timestamp": "2013-11-15T18:06:26Z", "date_added": "2013-11-15T18:06:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1oFv56vSvvA.mp4/1oFv56vSvvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1oFv56vSvvA.mp4/1oFv56vSvvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1oFv56vSvvA.m3u8/1oFv56vSvvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1oFv56vSvvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13181fc4", "sha": "5efe1bdfc2f669cdd39d9fd748a7b8598d70ec38", "translated_description": "", "image_url": "https://img.youtube.com/vi/1oFv56vSvvA/hqdefault.jpg", "youtube_id": "1oFv56vSvvA", "content_kind": "Video", "readable_id": "converting-weight"}], "twitter_url": "", "translated_description": "When you first started measuring things in units in 2nd grade, you saw that you might want to you different units depending on the scale, application or culture that you are in. Well, you could imagine that you'd want to convert from one unit to another as well. For example, say you walked 2 kilometers. How many meters would that be?\n\nCommon Core Standard: 4.MD.A.1\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "When you first started measuring things in units in 2nd grade, you saw that you might want to you different units depending on the scale, application or culture that you are in. Well, you could imagine that you'd want to convert from one unit to another as well. For example, say you walked 2 kilometers. How many meters would that be?\n\nCommon Core Standard: 4.MD.A.1\t", "x_pos": 0.0, "node_slug": "cc-4th-unit-conversion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf76c8a71", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion", "slug": "cc-4th-unit-conversion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "753733b29e49f3572ed718ae70a469a1bb9b4f38", "standalone_title": "Unit conversion", "y_pos": 0.0, "current_revision_key": "753733b29e49f3572ed718ae70a469a1bb9b4f38", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-word-problems", "translated_standalone_title": "Word problems with units", "translated_title": "Word problems with units", "gplus_url": "", "id": "x51d65f6a", "old_key_name": null, "hide": false, "title": "Word problems with units", "child_data": [{"kind": "Video", "id": "x84ddc42b"}, {"kind": "Video", "id": "x3f5d6857"}, {"kind": "Exercise", "id": "xf4a947d4"}, {"kind": "Video", "id": "xaee188ce"}, {"kind": "Video", "id": "x5ad67dda"}, {"kind": "Exercise", "id": "x962bef99"}, {"kind": "Video", "id": "xacbe5af6"}, {"kind": "Video", "id": "xffa70f2d"}, {"kind": "Exercise", "id": "x0846f57a"}, {"kind": "Video", "id": 22}, {"kind": "Video", "id": 25}, {"kind": "Video", "id": 28}, {"kind": "Exercise", "id": "xb195617a"}], "children": [{"translated_youtube_id": "kul2ZmVIQZk", "relative_url": "/video/time-to-leave-for-home", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/time-to-leave-for-home", "duration": 249, "translated_title": "Time to leave for home", "translated_description_html": "", "id": "x84ddc42b", "description_html": "", "title": "Time to leave for home", "progress_key": "vx84ddc42b", "edit_slug": "edit/v/x84ddc42b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/time-to-leave-for-home", "deleted": false, "backup_timestamp": "2013-10-23T15:48:45Z", "date_added": "2013-10-23T15:48:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kul2ZmVIQZk.mp4/kul2ZmVIQZk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kul2ZmVIQZk.mp4/kul2ZmVIQZk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kul2ZmVIQZk.m3u8/kul2ZmVIQZk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kul2ZmVIQZk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx84ddc42b", "sha": "ae9787dd4feb20e2d62c7429240d48a49f81da3e", "translated_description": "", "image_url": "https://img.youtube.com/vi/kul2ZmVIQZk/hqdefault.jpg", "youtube_id": "kul2ZmVIQZk", "content_kind": "Video", "readable_id": "time-to-leave-for-home"}, {"translated_youtube_id": "UhMM68fq9FA", "relative_url": "/video/time-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/time-word-problem", "duration": 218, "translated_title": "Time before volleyball practice", "translated_description_html": "", "id": "x3f5d6857", "description_html": "", "title": "Time before volleyball practice", "progress_key": "vx3f5d6857", "edit_slug": "edit/v/x3f5d6857", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/time-word-problem", "deleted": false, "backup_timestamp": "2013-10-23T14:15:04Z", "date_added": "2013-10-23T14:15:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.mp4/UhMM68fq9FA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.mp4/UhMM68fq9FA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.m3u8/UhMM68fq9FA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UhMM68fq9FA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3f5d6857", "sha": "df92ece3e768ad34e7cec04bf1cf07e2bc4b9575", "translated_description": "", "image_url": "https://img.youtube.com/vi/UhMM68fq9FA/hqdefault.jpg", "youtube_id": "UhMM68fq9FA", "content_kind": "Video", "readable_id": "time-word-problem"}, {"translated_youtube_id": "_YXF7WDpWpg", "relative_url": "/video/change-from-buying-apples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/change-from-buying-apples", "duration": 194, "translated_title": "Change from buying apples", "translated_description_html": "", "id": "xaee188ce", "description_html": "", "title": "Change from buying apples", "progress_key": "vxaee188ce", "edit_slug": "edit/v/xaee188ce", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/change-from-buying-apples", "deleted": false, "backup_timestamp": "2013-10-23T15:48:46Z", "date_added": "2013-10-23T15:48:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_YXF7WDpWpg.mp4/_YXF7WDpWpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_YXF7WDpWpg.mp4/_YXF7WDpWpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_YXF7WDpWpg.m3u8/_YXF7WDpWpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_YXF7WDpWpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaee188ce", "sha": "259241ec67c37529537e3e311fd1b25b20379f7b", "translated_description": "", "image_url": "https://img.youtube.com/vi/_YXF7WDpWpg/hqdefault.jpg", "youtube_id": "_YXF7WDpWpg", "content_kind": "Video", "readable_id": "change-from-buying-apples"}, {"translated_youtube_id": "XcRX-mkjeiM", "relative_url": "/video/currency-conversion-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/currency-conversion-example", "duration": 54, "translated_title": "Currency conversion", "translated_description_html": "", "id": "x5ad67dda", "description_html": "", "title": "Currency conversion", "progress_key": "vx5ad67dda", "edit_slug": "edit/v/x5ad67dda", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/currency-conversion-example", "deleted": false, "backup_timestamp": "2013-10-23T16:36:05Z", "date_added": "2013-10-23T16:36:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XcRX-mkjeiM.mp4/XcRX-mkjeiM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XcRX-mkjeiM.mp4/XcRX-mkjeiM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XcRX-mkjeiM.m3u8/XcRX-mkjeiM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XcRX-mkjeiM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5ad67dda", "sha": "ad514aacc2b66b89832e5fadec73461c75f7d9cd", "translated_description": "", "image_url": "https://img.youtube.com/vi/XcRX-mkjeiM/hqdefault.jpg", "youtube_id": "XcRX-mkjeiM", "content_kind": "Video", "readable_id": "currency-conversion-example"}, {"translated_youtube_id": "PdHSs5_kx24", "relative_url": "/video/unit-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-word-problem-example", "duration": 245, "translated_title": "Left over tea from party", "translated_description_html": "", "id": "xacbe5af6", "description_html": "", "title": "Left over tea from party", "progress_key": "vxacbe5af6", "edit_slug": "edit/v/xacbe5af6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-word-problem-example", "deleted": false, "backup_timestamp": "2013-10-23T14:15:03Z", "date_added": "2013-10-23T14:15:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.mp4/PdHSs5_kx24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.mp4/PdHSs5_kx24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.m3u8/PdHSs5_kx24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PdHSs5_kx24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxacbe5af6", "sha": "a493e59729e520481f10e938ed92eef1aa841829", "translated_description": "", "image_url": "https://img.youtube.com/vi/PdHSs5_kx24/hqdefault.jpg", "youtube_id": "PdHSs5_kx24", "content_kind": "Video", "readable_id": "unit-word-problem-example"}, {"translated_youtube_id": "4T9Blye_QGE", "relative_url": "/video/jogging-and-walking", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/jogging-and-walking", "duration": 250, "translated_title": "Jogging and walking", "translated_description_html": "", "id": "xffa70f2d", "description_html": "", "title": "Jogging and walking", "progress_key": "vxffa70f2d", "edit_slug": "edit/v/xffa70f2d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/jogging-and-walking", "deleted": false, "backup_timestamp": "2013-10-23T15:48:46Z", "date_added": "2013-10-23T15:48:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4T9Blye_QGE.mp4/4T9Blye_QGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4T9Blye_QGE.mp4/4T9Blye_QGE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4T9Blye_QGE.m3u8/4T9Blye_QGE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4T9Blye_QGE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxffa70f2d", "sha": "ac1080cb8ea7e4b0c3f0b64fa47ad8ed09e65166", "translated_description": "", "image_url": "https://img.youtube.com/vi/4T9Blye_QGE/hqdefault.jpg", "youtube_id": "4T9Blye_QGE", "content_kind": "Video", "readable_id": "jogging-and-walking"}, {"translated_youtube_id": "AGFO-ROxH_I", "relative_url": "/video/converting-units-of-length", "has_questions": false, "keywords": "U06_L1_T1_we3, Converting, units, of, length, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-units-of-length", "duration": 484, "translated_title": "Running laps", "translated_description_html": "

Converting units of length<\/p>", "id": "22", "description_html": "

Converting units of length<\/p>", "title": "Running laps", "progress_key": "v22", "edit_slug": "edit/v/22", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting units of length", "extra_properties": {}, "node_slug": "v/converting-units-of-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.m3u8/AGFO-ROxH_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AGFO-ROxH_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v22", "sha": "d2a36f7b3a5990eb193f1dbaa5d945c03b2d3b4f", "translated_description": "Converting units of length", "image_url": "https://img.youtube.com/vi/AGFO-ROxH_I/hqdefault.jpg", "youtube_id": "AGFO-ROxH_I", "content_kind": "Video", "readable_id": "converting-units-of-length"}, {"translated_youtube_id": "gnCL_0uA6Ds", "relative_url": "/video/application-problems-involving-units-of-weight", "has_questions": false, "keywords": "U06_L1_T2_we3, Application, problems, involving, units, of, weight, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/application-problems-involving-units-of-weight", "duration": 428, "translated_title": "Safe elevator", "translated_description_html": "Application problems involving units of weight", "id": "25", "description_html": "Application problems involving units of weight", "title": "Safe elevator", "progress_key": "v25", "edit_slug": "edit/v/25", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Application problems involving units of weight", "extra_properties": null, "node_slug": "v/application-problems-involving-units-of-weight", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.m3u8/gnCL_0uA6Ds.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gnCL_0uA6Ds&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25", "sha": "99e9e24ae8c5e55b1d49412dd43867c18e3c7ad2", "translated_description": "Application problems involving units of weight", "image_url": "https://img.youtube.com/vi/gnCL_0uA6Ds/hqdefault.jpg", "youtube_id": "gnCL_0uA6Ds", "content_kind": "Video", "readable_id": "application-problems-involving-units-of-weight"}, {"translated_youtube_id": "KgoXx_58QyQ", "relative_url": "/video/solving-application-problems-involving-units-of-volume", "has_questions": false, "keywords": "U06_L1_T3_we3, Solving, application, problems, involving, units, of, volume, CC_3_MD_2, CC_4_MD_1, CC_4_MD_2, CC_5_MD_1, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_c, CC_6_RP_3_d, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solving-application-problems-involving-units-of-volume", "duration": 209, "translated_title": "Blood drive", "translated_description_html": "Solving application problems involving units of volume", "id": "28", "description_html": "Solving application problems involving units of volume", "title": "Blood drive", "progress_key": "v28", "edit_slug": "edit/v/28", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving application problems involving units of volume", "extra_properties": null, "node_slug": "v/solving-application-problems-involving-units-of-volume", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.m3u8/KgoXx_58QyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KgoXx_58QyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28", "sha": "098b40d5a69934bbcd219f2975847404168a1eea", "translated_description": "Solving application problems involving units of volume", "image_url": "https://img.youtube.com/vi/KgoXx_58QyQ/hqdefault.jpg", "youtube_id": "KgoXx_58QyQ", "content_kind": "Video", "readable_id": "solving-application-problems-involving-units-of-volume"}], "twitter_url": "", "translated_description": "Let's solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. \n\nCommon Core Standard: 4.MD.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. \n\nCommon Core Standard: 4.MD.A.2\t", "x_pos": 0.0, "node_slug": "cc-4th-unit-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax51d65f6a", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-word-problems", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-word-problems", "slug": "cc-4th-unit-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "438d24ee72eb6b2cfe5a4874f79c43e99331b23f", "standalone_title": "Word problems with units", "y_pos": 0.0, "current_revision_key": "438d24ee72eb6b2cfe5a4874f79c43e99331b23f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter", "translated_standalone_title": "Area and perimeter", "translated_title": "Area and perimeter", "gplus_url": "", "id": "x33582dbd", "old_key_name": null, "hide": false, "title": "Area and perimeter", "child_data": [{"kind": "Video", "id": "x78651ab9"}, {"kind": "Video", "id": "xb3811072"}, {"kind": "Video", "id": "x927667dd"}, {"kind": "Exercise", "id": "x575b0001"}], "children": [{"translated_youtube_id": "AIb5x7fmtvE", "relative_url": "/video/width-from-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/width-from-perimeter", "duration": 194, "translated_title": "Width of a dog pen", "translated_description_html": "", "id": "x78651ab9", "description_html": "", "title": "Width of a dog pen", "progress_key": "vx78651ab9", "edit_slug": "edit/v/x78651ab9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/width-from-perimeter", "deleted": false, "backup_timestamp": "2013-10-23T13:26:15Z", "date_added": "2013-10-23T13:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AIb5x7fmtvE.mp4/AIb5x7fmtvE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AIb5x7fmtvE.mp4/AIb5x7fmtvE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AIb5x7fmtvE.m3u8/AIb5x7fmtvE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AIb5x7fmtvE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78651ab9", "sha": "7dffd3845562cdb085d4aeb703d1e6c659b492e3", "translated_description": "", "image_url": "https://img.youtube.com/vi/AIb5x7fmtvE/hqdefault.jpg", "youtube_id": "AIb5x7fmtvE", "content_kind": "Video", "readable_id": "width-from-perimeter"}, {"translated_youtube_id": "-J-6VGxld54", "relative_url": "/video/length-and-width-from-perimeter-and-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/length-and-width-from-perimeter-and-area", "duration": 286, "translated_title": "Table dimensions from perimeter and area", "translated_description_html": "", "id": "xb3811072", "description_html": "", "title": "Table dimensions from perimeter and area", "progress_key": "vxb3811072", "edit_slug": "edit/v/xb3811072", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/length-and-width-from-perimeter-and-area", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-25T16:12:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.mp4/-J-6VGxld54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.mp4/-J-6VGxld54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.m3u8/-J-6VGxld54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-J-6VGxld54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb3811072", "sha": "d3780f6f5d2a4ac275a8831476b5c42ba37b4646", "translated_description": "", "image_url": "https://img.youtube.com/vi/-J-6VGxld54/hqdefault.jpg", "youtube_id": "-J-6VGxld54", "content_kind": "Video", "readable_id": "length-and-width-from-perimeter-and-area"}, {"translated_youtube_id": "D2Ks5SKU6GM", "relative_url": "/video/comparing-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-area", "duration": 141, "translated_title": "Comparing poster area", "translated_description_html": "", "id": "x927667dd", "description_html": "", "title": "Comparing poster area", "progress_key": "vx927667dd", "edit_slug": "edit/v/x927667dd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-area", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-25T16:12:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.mp4/D2Ks5SKU6GM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.mp4/D2Ks5SKU6GM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.m3u8/D2Ks5SKU6GM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D2Ks5SKU6GM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx927667dd", "sha": "98f3692a1b726b83aab56285eaf17d802f2c812d", "translated_description": "", "image_url": "https://img.youtube.com/vi/D2Ks5SKU6GM/hqdefault.jpg", "youtube_id": "D2Ks5SKU6GM", "content_kind": "Video", "readable_id": "comparing-area"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-4th-area-and-perimeter", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-21T02:35:11Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax33582dbd", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter", "slug": "cc-4th-area-and-perimeter", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3c88773eab1fe44d8e7c4b23858285672ae059d2", "standalone_title": "Area and perimeter", "y_pos": 0.0, "current_revision_key": "3c88773eab1fe44d8e7c4b23858285672ae059d2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-data", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-data", "translated_standalone_title": "Data", "translated_title": "Data", "gplus_url": "", "id": "x6391dfd7", "old_key_name": null, "hide": false, "title": "Data", "child_data": [{"kind": "Video", "id": "x1e343920"}, {"kind": "Exercise", "id": "x1fa20cb3"}], "children": [{"translated_youtube_id": "4smVBLi3DxU", "relative_url": "/video/interpreting-data-in-line-plots", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-data-in-line-plots", "duration": 213, "translated_title": "Interpreting data in line plot", "translated_description_html": "", "id": "x1e343920", "description_html": "", "title": "Interpreting data in line plot", "progress_key": "vx1e343920", "edit_slug": "edit/v/x1e343920", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-data-in-line-plots", "deleted": false, "backup_timestamp": "2013-11-14T23:19:12Z", "date_added": "2013-11-14T23:19:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4smVBLi3DxU.mp4/4smVBLi3DxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4smVBLi3DxU.mp4/4smVBLi3DxU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4smVBLi3DxU.m3u8/4smVBLi3DxU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4smVBLi3DxU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1e343920", "sha": "7447fe51ef995e2bb9f88a95a0c453eaa5a32826", "translated_description": "", "image_url": "https://img.youtube.com/vi/4smVBLi3DxU/hqdefault.jpg", "youtube_id": "4smVBLi3DxU", "content_kind": "Video", "readable_id": "interpreting-data-in-line-plots"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-4th-data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-21T05:42:33Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6391dfd7", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-data", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-data", "slug": "cc-4th-data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7b63c9952605f031865e4fa8fc1151ff2f5d5d23", "standalone_title": "Data", "y_pos": 0.0, "current_revision_key": "7b63c9952605f031865e4fa8fc1151ff2f5d5d23", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "When we measure anything, we do it in human-defined 'units'. Different units were defined in different places and for different scales. Let's think about how to convert between the them!\n\nWe'll also get are feet wet in angles and continue thinking about perimeter and area!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "When we measure anything, we do it in human-defined 'units'. Different units were defined in different places and for different scales. Let's think about how to convert between the them!\n\nWe'll also get are feet wet in angles and continue thinking about perimeter and area!", "x_pos": 0.0, "node_slug": "cc-4th-measurement-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax58fcadff", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-measurement-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-measurement-topic", "slug": "cc-4th-measurement-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5e8ec47a43cb7e22cfea1f1e98647b4b144f4fff", "standalone_title": "Measurement and data", "y_pos": 0.0, "current_revision_key": "5e8ec47a43cb7e22cfea1f1e98647b4b144f4fff", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "xd796b5cb", "old_key_name": null, "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "xd7a0f2b2"}, {"kind": "Topic", "id": "xcde4d074"}, {"kind": "Topic", "id": "xa1872502"}, {"kind": "Topic", "id": "x3d7dbe96"}, {"kind": "Topic", "id": "xc16a83ca"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-lines-rays-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-lines-rays-angles", "translated_standalone_title": "Lines, line segments and rays", "translated_title": "Lines, line segments and rays", "gplus_url": "", "id": "xd7a0f2b2", "old_key_name": null, "hide": false, "title": "Lines, line segments and rays", "child_data": [{"kind": "Video", "id": 611293511}, {"kind": "Video", "id": 611259516}, {"kind": "Video", "id": 211177355}, {"kind": "Exercise", "id": 205328272}, {"kind": "Video", "id": "xfcdfb0ea"}, {"kind": "Exercise", "id": "x56a1eef4"}], "children": [{"translated_youtube_id": "WqzK3UAXaHs", "relative_url": "/video/euclid-as-the-father-of-geometry", "has_questions": false, "keywords": "geometry, euclid, lincoln, marquee", "ka_url": "http://www.khanacademy.org/video/euclid-as-the-father-of-geometry", "duration": 503, "translated_title": "Euclid as the father of geometry", "translated_description_html": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "id": "611293511", "description_html": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "title": "Euclid as the father of geometry", "progress_key": "v611293511", "edit_slug": "edit/v/611293511", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "extra_properties": null, "node_slug": "v/euclid-as-the-father-of-geometry", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-02-28T22:36:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.m3u8/WqzK3UAXaHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WqzK3UAXaHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v611293511", "sha": "70add9cbb1fb455fd49f65db38f1903a52a061df", "translated_description": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "image_url": "https://img.youtube.com/vi/WqzK3UAXaHs/hqdefault.jpg", "youtube_id": "WqzK3UAXaHs", "content_kind": "Video", "readable_id": "euclid-as-the-father-of-geometry"}, {"translated_youtube_id": "il0EJrY64qE", "relative_url": "/video/language-and-notation-of-basic-geometry", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/language-and-notation-of-basic-geometry", "duration": 778, "translated_title": "Language and notation of basic geometry", "translated_description_html": "Understanding basic ideas in geometry and how we represent them with symbols", "id": "611259516", "description_html": "Understanding basic ideas in geometry and how we represent them with symbols", "title": "Language and notation of basic geometry", "progress_key": "v611259516", "edit_slug": "edit/v/611259516", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding basic ideas in geometry and how we represent them with symbols", "extra_properties": null, "node_slug": "v/language-and-notation-of-basic-geometry", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-02-28T22:26:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.mp4/il0EJrY64qE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.mp4/il0EJrY64qE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.m3u8/il0EJrY64qE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=il0EJrY64qE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v611259516", "sha": "864d9eec49e0bba01673ce52cfbbe6d49c36c7e3", "translated_description": "Understanding basic ideas in geometry and how we represent them with symbols", "image_url": "https://img.youtube.com/vi/il0EJrY64qE/hqdefault.jpg", "youtube_id": "il0EJrY64qE", "content_kind": "Video", "readable_id": "language-and-notation-of-basic-geometry"}, {"translated_youtube_id": "JcqCf762y9w", "relative_url": "/video/lines--line-segments--and-rays", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/lines--line-segments--and-rays", "duration": 218, "translated_title": "Lines, line segments, and rays", "translated_description_html": "Difference between lines, line segments, and rays", "id": "211177355", "description_html": "Difference between lines, line segments, and rays", "title": "Lines, line segments, and rays", "progress_key": "v211177355", "edit_slug": "edit/v/211177355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Difference between lines, line segments, and rays", "extra_properties": null, "node_slug": "v/lines--line-segments--and-rays", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-08-24T10:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.mp4/JcqCf762y9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.mp4/JcqCf762y9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.m3u8/JcqCf762y9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JcqCf762y9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177355", "sha": "8fa785574213e6d611ed8529c063e99793a61d3e", "translated_description": "Difference between lines, line segments, and rays", "image_url": "https://img.youtube.com/vi/JcqCf762y9w/hqdefault.jpg", "youtube_id": "JcqCf762y9w", "content_kind": "Video", "readable_id": "lines--line-segments--and-rays"}, {"translated_youtube_id": "DkZnevdbf0A", "relative_url": "/video/drawing-lines-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawing-lines-exercise-example", "duration": 115, "translated_title": "Drawing lines exercise example", "translated_description_html": "", "id": "xfcdfb0ea", "description_html": "", "title": "Drawing lines exercise example", "progress_key": "vxfcdfb0ea", "edit_slug": "edit/v/xfcdfb0ea", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/drawing-lines-exercise-example", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2013-09-26T18:08:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.mp4/DkZnevdbf0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.mp4/DkZnevdbf0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.m3u8/DkZnevdbf0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DkZnevdbf0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfcdfb0ea", "sha": "d5cdc92aa0447fae8185646137f6e0b85e4e203f", "translated_description": "", "image_url": "https://img.youtube.com/vi/DkZnevdbf0A/hqdefault.jpg", "youtube_id": "DkZnevdbf0A", "content_kind": "Video", "readable_id": "drawing-lines-exercise-example"}], "twitter_url": "", "translated_description": "Let's draw points, lines, line segments, and rays. We'll also think about perpendicular and parallel lines and identify these in two-dimensional figures.\n\nCommon Core Standard: 4.G.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's draw points, lines, line segments, and rays. We'll also think about perpendicular and parallel lines and identify these in two-dimensional figures.\n\nCommon Core Standard: 4.G.A.1", "x_pos": 0.0, "node_slug": "cc-4th-lines-rays-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7a0f2b2", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-lines-rays-angles", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-lines-rays-angles", "slug": "cc-4th-lines-rays-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e702096f6e7b9ad1ba5735cc8346458a1aeb8265", "standalone_title": "Lines, line segments and rays", "y_pos": 0.0, "current_revision_key": "e702096f6e7b9ad1ba5735cc8346458a1aeb8265", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles", "translated_standalone_title": "Angles", "translated_title": "Angle basics", "gplus_url": "", "id": "xcde4d074", "old_key_name": null, "hide": false, "title": "Angle basics", "child_data": [{"kind": "Video", "id": 263439065}, {"kind": "Video", "id": "x66f2a779"}, {"kind": "Exercise", "id": "xb0dd2ccf"}, {"kind": "Video", "id": "x15cb233f"}, {"kind": "Video", "id": "xbf9d7f52"}, {"kind": "Exercise", "id": "xb4defe03"}, {"kind": "Video", "id": 263439060}, {"kind": "Video", "id": 263439062}, {"kind": "Video", "id": 211177356}, {"kind": "Exercise", "id": 196064396}, {"kind": "Video", "id": "xb6f10aaa"}, {"kind": "Exercise", "id": "x6bc79072"}], "children": [{"translated_youtube_id": "H-de6Tkxej8", "relative_url": "/video/angle-basics", "has_questions": false, "keywords": "geometry, angle, points", "ka_url": "http://www.khanacademy.org/video/angle-basics", "duration": 409, "translated_title": "Angle basics", "translated_description_html": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "id": "263439065", "description_html": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "title": "Angle basics", "progress_key": "v263439065", "edit_slug": "edit/v/263439065", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "extra_properties": {"original_url": ""}, "node_slug": "v/angle-basics", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.mp4/H-de6Tkxej8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.mp4/H-de6Tkxej8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.m3u8/H-de6Tkxej8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-de6Tkxej8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439065", "sha": "2743d2e077839534cc07f211a004a0a3764ac0fa", "translated_description": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "image_url": "https://img.youtube.com/vi/H-de6Tkxej8/hqdefault.jpg", "youtube_id": "H-de6Tkxej8", "content_kind": "Video", "readable_id": "angle-basics"}, {"translated_youtube_id": "6vRgqB0PSXE", "relative_url": "/video/naming-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/naming-angles", "duration": 71, "translated_title": "Naming angles", "translated_description_html": "", "id": "x66f2a779", "description_html": "", "title": "Naming angles", "progress_key": "vx66f2a779", "edit_slug": "edit/v/x66f2a779", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/naming-angles", "deleted": false, "backup_timestamp": "2013-10-23T17:27:19Z", "date_added": "2013-10-23T17:27:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6vRgqB0PSXE.mp4/6vRgqB0PSXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6vRgqB0PSXE.mp4/6vRgqB0PSXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6vRgqB0PSXE.m3u8/6vRgqB0PSXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6vRgqB0PSXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx66f2a779", "sha": "f98ddceacb8b4d65bdfa754087e7a8208ddeafb3", "translated_description": "", "image_url": "https://img.youtube.com/vi/6vRgqB0PSXE/hqdefault.jpg", "youtube_id": "6vRgqB0PSXE", "content_kind": "Video", "readable_id": "naming-angles"}, {"translated_youtube_id": "D-EIh7NJvtQ", "relative_url": "/video/angle-measurement-and-circle-arcs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/angle-measurement-and-circle-arcs", "duration": 457, "translated_title": "Angle measurement and circle arcs", "translated_description_html": "", "id": "x15cb233f", "description_html": "", "title": "Angle measurement and circle arcs", "progress_key": "vx15cb233f", "edit_slug": "edit/v/x15cb233f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/angle-measurement-and-circle-arcs", "deleted": false, "backup_timestamp": "2013-10-23T17:27:19Z", "date_added": "2013-10-23T17:27:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D-EIh7NJvtQ.mp4/D-EIh7NJvtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D-EIh7NJvtQ.mp4/D-EIh7NJvtQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D-EIh7NJvtQ.m3u8/D-EIh7NJvtQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D-EIh7NJvtQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx15cb233f", "sha": "3cf56f3ec59afece5b2001ded4784fbf30cad892", "translated_description": "", "image_url": "https://img.youtube.com/vi/D-EIh7NJvtQ/hqdefault.jpg", "youtube_id": "D-EIh7NJvtQ", "content_kind": "Video", "readable_id": "angle-measurement-and-circle-arcs"}, {"translated_youtube_id": "hv9gPlQru78", "relative_url": "/video/angles-circumference", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/angles-circumference", "duration": 100, "translated_title": "Angles and circumference", "translated_description_html": "", "id": "xbf9d7f52", "description_html": "", "title": "Angles and circumference", "progress_key": "vxbf9d7f52", "edit_slug": "edit/v/xbf9d7f52", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/angles-circumference", "deleted": false, "backup_timestamp": "2013-10-23T17:27:19Z", "date_added": "2013-10-23T17:27:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hv9gPlQru78.mp4/hv9gPlQru78.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hv9gPlQru78.mp4/hv9gPlQru78.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hv9gPlQru78.m3u8/hv9gPlQru78.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hv9gPlQru78&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbf9d7f52", "sha": "b05cb252e0ab1e757ee1c469d3cfd04c236112f7", "translated_description": "", "image_url": "https://img.youtube.com/vi/hv9gPlQru78/hqdefault.jpg", "youtube_id": "hv9gPlQru78", "content_kind": "Video", "readable_id": "angles-circumference"}, {"translated_youtube_id": "92aLiyeQj0w", "relative_url": "/video/measuring-angles-in-degrees", "has_questions": false, "keywords": "geometry, degrees, angles", "ka_url": "http://www.khanacademy.org/video/measuring-angles-in-degrees", "duration": 502, "translated_title": "Measuring angles in degrees", "translated_description_html": "How to measure an angle in degrees", "id": "263439060", "description_html": "How to measure an angle in degrees", "title": "Measuring angles in degrees", "progress_key": "v263439060", "edit_slug": "edit/v/263439060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How to measure an angle in degrees", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-angles-in-degrees", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.m3u8/92aLiyeQj0w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=92aLiyeQj0w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439060", "sha": "c7cd7b66bd98e60dc1b01dee2735ea53a512a849", "translated_description": "How to measure an angle in degrees", "image_url": "https://img.youtube.com/vi/92aLiyeQj0w/hqdefault.jpg", "youtube_id": "92aLiyeQj0w", "content_kind": "Video", "readable_id": "measuring-angles-in-degrees"}, {"translated_youtube_id": "dw41PMWek6U", "relative_url": "/video/using-a-protractor", "has_questions": false, "keywords": "Using, a, Protractor", "ka_url": "http://www.khanacademy.org/video/using-a-protractor", "duration": 205, "translated_title": "Using a protractor", "translated_description_html": "", "id": "263439062", "description_html": "", "title": "Using a protractor", "progress_key": "v263439062", "edit_slug": "edit/v/263439062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-a-protractor", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.mp4/dw41PMWek6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.mp4/dw41PMWek6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.m3u8/dw41PMWek6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dw41PMWek6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439062", "sha": "1c219295a4fb32d804d6284bff160426c968bc98", "translated_description": "", "image_url": "https://img.youtube.com/vi/dw41PMWek6U/hqdefault.jpg", "youtube_id": "dw41PMWek6U", "content_kind": "Video", "readable_id": "using-a-protractor"}, {"translated_youtube_id": "wJ37GJyViU8", "relative_url": "/video/measuring-angles", "has_questions": false, "keywords": "geometry, protractor, angles", "ka_url": "http://www.khanacademy.org/video/measuring-angles", "duration": 245, "translated_title": "Measuring angles", "translated_description_html": "Using the KA virtual protractor to measure angles", "id": "211177356", "description_html": "Using the KA virtual protractor to measure angles", "title": "Measuring angles", "progress_key": "v211177356", "edit_slug": "edit/v/211177356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using the KA virtual protractor to measure angles", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-angles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-08-24T10:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.mp4/wJ37GJyViU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.mp4/wJ37GJyViU8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.m3u8/wJ37GJyViU8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wJ37GJyViU8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177356", "sha": "e4df4b8aec5e0db1911d84a21aba518bc63967d7", "translated_description": "Using the KA virtual protractor to measure angles", "image_url": "https://img.youtube.com/vi/wJ37GJyViU8/hqdefault.jpg", "youtube_id": "wJ37GJyViU8", "content_kind": "Video", "readable_id": "measuring-angles"}, {"translated_youtube_id": "QmfoIvgIVlE", "relative_url": "/video/constructing-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-angles", "duration": 161, "translated_title": "Constructing angles", "translated_description_html": "", "id": "xb6f10aaa", "description_html": "", "title": "Constructing angles", "progress_key": "vxb6f10aaa", "edit_slug": "edit/v/xb6f10aaa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-angles", "deleted": false, "backup_timestamp": "2013-10-23T17:27:20Z", "date_added": "2013-10-23T17:27:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QmfoIvgIVlE.mp4/QmfoIvgIVlE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QmfoIvgIVlE.mp4/QmfoIvgIVlE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QmfoIvgIVlE.m3u8/QmfoIvgIVlE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QmfoIvgIVlE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb6f10aaa", "sha": "ddef4eb48a3f7cca5f343ef200aba9a1d04b6272", "translated_description": "", "image_url": "https://img.youtube.com/vi/QmfoIvgIVlE/hqdefault.jpg", "youtube_id": "QmfoIvgIVlE", "content_kind": "Video", "readable_id": "constructing-angles"}], "twitter_url": "", "translated_description": "What is an angle and how do we label, measure and construct them?\n\nCommon Core Standards: 4.MD.C.5, 4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What is an angle and how do we label, measure and construct them?\n\nCommon Core Standards: 4.MD.C.5, 4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1\t", "x_pos": 0.0, "node_slug": "cc-4th-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcde4d074", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles", "slug": "cc-4th-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "389eafbfd0e325cfe69c76f4e9f58bc4aa0b5923", "standalone_title": "Angles", "y_pos": 0.0, "current_revision_key": "389eafbfd0e325cfe69c76f4e9f58bc4aa0b5923", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles", "translated_standalone_title": "Interpreting angles", "translated_title": "Interpreting angles", "gplus_url": "", "id": "xa1872502", "old_key_name": null, "hide": false, "title": "Interpreting angles", "child_data": [{"kind": "Video", "id": 60129393}, {"kind": "Video", "id": 263439060}, {"kind": "Exercise", "id": 47757395}, {"kind": "Video", "id": "x1781a3d6"}, {"kind": "Exercise", "id": "x3958fbe6"}, {"kind": "Video", "id": "x93c8f042"}, {"kind": "Exercise", "id": "x0b7cb620"}, {"kind": "Exercise", "id": "x3958fbe6"}, {"kind": "Video", "id": "xd505def0"}, {"kind": "Exercise", "id": "x0dc914cc"}, {"kind": "Video", "id": "xe3c54f14"}, {"kind": "Video", "id": 372432667}, {"kind": "Exercise", "id": "xc23bbfaa"}, {"kind": "Video", "id": "x7fc750fa"}, {"kind": "Video", "id": "x6c2451f9"}, {"kind": "Exercise", "id": "x353bd6f4"}], "children": [{"translated_youtube_id": "ALhv3Rlydig", "relative_url": "/video/acute-right-and-obtuse-angles", "has_questions": false, "keywords": "angles, geometry, CC_4_G_1", "ka_url": "http://www.khanacademy.org/video/acute-right-and-obtuse-angles", "duration": 332, "translated_title": "Acute right and obtuse angles", "translated_description_html": "The difference between acute, obtuse and right angles", "id": "60129393", "description_html": "The difference between acute, obtuse and right angles", "title": "Acute right and obtuse angles", "progress_key": "v60129393", "edit_slug": "edit/v/60129393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between acute, obtuse and right angles", "extra_properties": {"original_url": ""}, "node_slug": "v/acute-right-and-obtuse-angles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.m3u8/ALhv3Rlydig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ALhv3Rlydig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129393", "sha": "65b8702bc4ac0883ee3cbf8ff5e68dd0758b3950", "translated_description": "The difference between acute, obtuse and right angles", "image_url": "https://img.youtube.com/vi/ALhv3Rlydig/hqdefault.jpg", "youtube_id": "ALhv3Rlydig", "content_kind": "Video", "readable_id": "acute-right-and-obtuse-angles"}, {"translated_youtube_id": "92aLiyeQj0w", "relative_url": "/video/measuring-angles-in-degrees", "has_questions": false, "keywords": "geometry, degrees, angles", "ka_url": "http://www.khanacademy.org/video/measuring-angles-in-degrees", "duration": 502, "translated_title": "Measuring angles in degrees", "translated_description_html": "How to measure an angle in degrees", "id": "263439060", "description_html": "How to measure an angle in degrees", "title": "Measuring angles in degrees", "progress_key": "v263439060", "edit_slug": "edit/v/263439060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How to measure an angle in degrees", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-angles-in-degrees", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.m3u8/92aLiyeQj0w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=92aLiyeQj0w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439060", "sha": "c7cd7b66bd98e60dc1b01dee2735ea53a512a849", "translated_description": "How to measure an angle in degrees", "image_url": "https://img.youtube.com/vi/92aLiyeQj0w/hqdefault.jpg", "youtube_id": "92aLiyeQj0w", "content_kind": "Video", "readable_id": "measuring-angles-in-degrees"}, {"translated_youtube_id": "B0R3MJOrST0", "relative_url": "/video/Recognizing-angles-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Recognizing-angles-examples", "duration": 135, "translated_title": "Recognizing angles examples", "translated_description_html": "", "id": "x1781a3d6", "description_html": "", "title": "Recognizing angles examples", "progress_key": "vx1781a3d6", "edit_slug": "edit/v/x1781a3d6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Recognizing-angles-examples", "deleted": false, "backup_timestamp": "2013-10-29T05:51:58Z", "date_added": "2013-10-29T05:51:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B0R3MJOrST0.mp4/B0R3MJOrST0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B0R3MJOrST0.mp4/B0R3MJOrST0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B0R3MJOrST0.m3u8/B0R3MJOrST0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B0R3MJOrST0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1781a3d6", "sha": "0d289ec5b56d2c3d0920f6c7587e9f245175f1eb", "translated_description": "", "image_url": "https://img.youtube.com/vi/B0R3MJOrST0/hqdefault.jpg", "youtube_id": "B0R3MJOrST0", "content_kind": "Video", "readable_id": "Recognizing-angles-examples"}, {"translated_youtube_id": "4ZyTVTGVPgE", "relative_url": "/video/drawing-acute--right-and-obtuse-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawing-acute--right-and-obtuse-angles", "duration": 160, "translated_title": "Drawing acute, right and obtuse angles", "translated_description_html": "", "id": "x93c8f042", "description_html": "", "title": "Drawing acute, right and obtuse angles", "progress_key": "vx93c8f042", "edit_slug": "edit/v/x93c8f042", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/drawing-acute--right-and-obtuse-angles", "deleted": false, "backup_timestamp": "2013-10-24T12:55:01Z", "date_added": "2013-10-24T12:55:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ZyTVTGVPgE.mp4/4ZyTVTGVPgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ZyTVTGVPgE.mp4/4ZyTVTGVPgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ZyTVTGVPgE.m3u8/4ZyTVTGVPgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4ZyTVTGVPgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx93c8f042", "sha": "b6e387dbce367186625a42e3cfb086489cb7ca68", "translated_description": "", "image_url": "https://img.youtube.com/vi/4ZyTVTGVPgE/hqdefault.jpg", "youtube_id": "4ZyTVTGVPgE", "content_kind": "Video", "readable_id": "drawing-acute--right-and-obtuse-angles"}, {"translated_youtube_id": "2mzuFKCuDg4", "relative_url": "/video/angle-sense-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/angle-sense-example", "duration": 123, "translated_title": "Angle sense examples", "translated_description_html": "", "id": "xd505def0", "description_html": "", "title": "Angle sense examples", "progress_key": "vxd505def0", "edit_slug": "edit/v/xd505def0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/angle-sense-example", "deleted": false, "backup_timestamp": "2013-10-23T17:27:19Z", "date_added": "2013-10-23T17:27:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2mzuFKCuDg4.mp4/2mzuFKCuDg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2mzuFKCuDg4.mp4/2mzuFKCuDg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2mzuFKCuDg4.m3u8/2mzuFKCuDg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2mzuFKCuDg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd505def0", "sha": "ff8c3fce8df0f1837a6e23b3e792711c1c46e024", "translated_description": "", "image_url": "https://img.youtube.com/vi/2mzuFKCuDg4/hqdefault.jpg", "youtube_id": "2mzuFKCuDg4", "content_kind": "Video", "readable_id": "angle-sense-example"}, {"translated_youtube_id": "V0xounKGEXs", "relative_url": "/video/parallel-and-perpendicular-lines-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parallel-and-perpendicular-lines-intro", "duration": 128, "translated_title": "Parallel and perpendicular lines intro", "translated_description_html": "", "id": "xe3c54f14", "description_html": "", "title": "Parallel and perpendicular lines intro", "progress_key": "vxe3c54f14", "edit_slug": "edit/v/xe3c54f14", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/parallel-and-perpendicular-lines-intro", "deleted": false, "backup_timestamp": "2013-10-23T21:34:09Z", "date_added": "2013-10-23T21:34:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V0xounKGEXs.mp4/V0xounKGEXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V0xounKGEXs.mp4/V0xounKGEXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V0xounKGEXs.m3u8/V0xounKGEXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V0xounKGEXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe3c54f14", "sha": "c8fce18cad263ba83cff7f7097690acd0907cc0d", "translated_description": "", "image_url": "https://img.youtube.com/vi/V0xounKGEXs/hqdefault.jpg", "youtube_id": "V0xounKGEXs", "content_kind": "Video", "readable_id": "parallel-and-perpendicular-lines-intro"}, {"translated_youtube_id": "aq_XL6FrmGs", "relative_url": "/video/identifying-parallel-and-perpendicular-lines", "has_questions": false, "keywords": "u07_l1_t2_we1, Identifying, Parallel, and, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/identifying-parallel-and-perpendicular-lines", "duration": 215, "translated_title": "Identifying parallel and perpendicular lines", "translated_description_html": "Identifying Parallel and Perpendicular Lines", "id": "372432667", "description_html": "Identifying Parallel and Perpendicular Lines", "title": "Identifying parallel and perpendicular lines", "progress_key": "v372432667", "edit_slug": "edit/v/372432667", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Identifying Parallel and Perpendicular Lines", "extra_properties": null, "node_slug": "v/identifying-parallel-and-perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.m3u8/aq_XL6FrmGs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aq_XL6FrmGs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432667", "sha": "9eeef4488ac0b99999833124ed42a0b32d3b789d", "translated_description": "Identifying Parallel and Perpendicular Lines", "image_url": "https://img.youtube.com/vi/aq_XL6FrmGs/hqdefault.jpg", "youtube_id": "aq_XL6FrmGs", "content_kind": "Video", "readable_id": "identifying-parallel-and-perpendicular-lines"}, {"translated_youtube_id": "oe9EXLVyU2Y", "relative_url": "/video/angle-of-turn", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/angle-of-turn", "duration": 109, "translated_title": "Angle of a turn", "translated_description_html": "", "id": "x7fc750fa", "description_html": "", "title": "Angle of a turn", "progress_key": "vx7fc750fa", "edit_slug": "edit/v/x7fc750fa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/angle-of-turn", "deleted": false, "backup_timestamp": "2013-10-23T17:27:20Z", "date_added": "2013-10-23T17:27:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oe9EXLVyU2Y.mp4/oe9EXLVyU2Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oe9EXLVyU2Y.mp4/oe9EXLVyU2Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oe9EXLVyU2Y.m3u8/oe9EXLVyU2Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oe9EXLVyU2Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7fc750fa", "sha": "e1563555a9fe2ac2ff97dedb1075dba203d16b3d", "translated_description": "", "image_url": "https://img.youtube.com/vi/oe9EXLVyU2Y/hqdefault.jpg", "youtube_id": "oe9EXLVyU2Y", "content_kind": "Video", "readable_id": "angle-of-turn"}, {"translated_youtube_id": "M7NVKImDqGg", "relative_url": "/video/decomposing-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decomposing-angles", "duration": 103, "translated_title": "Decomposing an angle", "translated_description_html": "", "id": "x6c2451f9", "description_html": "", "title": "Decomposing an angle", "progress_key": "vx6c2451f9", "edit_slug": "edit/v/x6c2451f9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decomposing-angles", "deleted": false, "backup_timestamp": "2013-10-23T17:27:19Z", "date_added": "2013-10-23T17:27:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M7NVKImDqGg.mp4/M7NVKImDqGg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M7NVKImDqGg.mp4/M7NVKImDqGg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M7NVKImDqGg.m3u8/M7NVKImDqGg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M7NVKImDqGg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6c2451f9", "sha": "2d536522a2e9b9742d0c3ba01bf28a8910260c5d", "translated_description": "", "image_url": "https://img.youtube.com/vi/M7NVKImDqGg/hqdefault.jpg", "youtube_id": "M7NVKImDqGg", "content_kind": "Video", "readable_id": "decomposing-angles"}], "twitter_url": "", "translated_description": "Now that we know what angles are, let's dig a bit deeper and classify them and understand their properties a bit better.\n\nCommon Core Standards: 4.MD.C.7, 4.G.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Now that we know what angles are, let's dig a bit deeper and classify them and understand their properties a bit better.\n\nCommon Core Standards: 4.MD.C.7, 4.G.A.1", "x_pos": 0.0, "node_slug": "cc-4th-interpreting-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-20T21:08:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa1872502", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles", "slug": "cc-4th-interpreting-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b74205ac272549540af5664ffbb839533ebed9e1", "standalone_title": "Interpreting angles", "y_pos": 0.0, "current_revision_key": "b74205ac272549540af5664ffbb839533ebed9e1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry", "translated_standalone_title": "Line of symmetry", "translated_title": "Line of symmetry", "gplus_url": "", "id": "x3d7dbe96", "old_key_name": null, "hide": false, "title": "Line of symmetry", "child_data": [{"kind": "Video", "id": "x78b40eae"}, {"kind": "Exercise", "id": 310282900}], "children": [{"translated_youtube_id": "LrTn4cvsewk", "relative_url": "/video/axis-of-symmetry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/axis-of-symmetry", "duration": 167, "translated_title": "Axis of symmetry", "translated_description_html": "", "id": "x78b40eae", "description_html": "", "title": "Axis of symmetry", "progress_key": "vx78b40eae", "edit_slug": "edit/v/x78b40eae", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/axis-of-symmetry", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-14T22:38:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.mp4/LrTn4cvsewk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.mp4/LrTn4cvsewk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.m3u8/LrTn4cvsewk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LrTn4cvsewk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78b40eae", "sha": "e92107134b626de499fd20149922ecaf0710c7d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/LrTn4cvsewk/hqdefault.jpg", "youtube_id": "LrTn4cvsewk", "content_kind": "Video", "readable_id": "axis-of-symmetry"}], "twitter_url": "", "translated_description": "A line of symmetry for a two-dimensional figure is a line across the figure such that the figure can be folded along the line into matching parts. In this tutorial, we'll identify line-symmetric figures and draw lines of symmetry.\n\nCommon Core Standard: 4.G.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "A line of symmetry for a two-dimensional figure is a line across the figure such that the figure can be folded along the line into matching parts. In this tutorial, we'll identify line-symmetric figures and draw lines of symmetry.\n\nCommon Core Standard: 4.G.A.3", "x_pos": 0.0, "node_slug": "cc-4th-line-of-symmetry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3d7dbe96", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry", "slug": "cc-4th-line-of-symmetry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5229327fb46adceb7d66ed2922e2426baae79290", "standalone_title": "Line of symmetry", "y_pos": 0.0, "current_revision_key": "5229327fb46adceb7d66ed2922e2426baae79290", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes", "translated_standalone_title": "Classifying shapes", "translated_title": "Classifying shapes", "gplus_url": "", "id": "xc16a83ca", "old_key_name": null, "hide": false, "title": "Classifying shapes", "child_data": [{"kind": "Video", "id": 339557900}, {"kind": "Video", "id": 370305272}, {"kind": "Video", "id": "x1b577232"}, {"kind": "Video", "id": "x819465b4"}, {"kind": "Exercise", "id": 251616813}, {"kind": "Video", "id": "xdb593bbc"}, {"kind": "Video", "id": "x3fd4b56d"}, {"kind": "Exercise", "id": "xe0848d0d"}, {"kind": "Video", "id": "xe37249c4"}, {"kind": "Exercise", "id": "xf1dc0080"}], "children": [{"translated_youtube_id": "Ka82QC4QvGA", "relative_url": "/video/quadrilateral-overview", "has_questions": false, "keywords": "rhombus", "ka_url": "http://www.khanacademy.org/video/quadrilateral-overview", "duration": 504, "translated_title": "Quadrilateral overview", "translated_description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "id": "339557900", "description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "title": "Quadrilateral overview", "progress_key": "v339557900", "edit_slug": "edit/v/339557900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "extra_properties": null, "node_slug": "v/quadrilateral-overview", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-27T10:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.m3u8/Ka82QC4QvGA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ka82QC4QvGA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v339557900", "sha": "c9e4582384cde52e5baeec7aff1f186ffd70d735", "translated_description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "image_url": "https://img.youtube.com/vi/Ka82QC4QvGA/hqdefault.jpg", "youtube_id": "Ka82QC4QvGA", "content_kind": "Video", "readable_id": "quadrilateral-overview"}, {"translated_youtube_id": "5CeBlu260Rw", "relative_url": "/video/quadrilateral-properties", "has_questions": false, "keywords": "u07_l2_t1_we1, Quadrilateral, Properties", "ka_url": "http://www.khanacademy.org/video/quadrilateral-properties", "duration": 307, "translated_title": "Quadrilateral properties", "translated_description_html": "Quadrilateral Properties", "id": "370305272", "description_html": "Quadrilateral Properties", "title": "Quadrilateral properties", "progress_key": "v370305272", "edit_slug": "edit/v/370305272", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrilateral Properties", "extra_properties": null, "node_slug": "v/quadrilateral-properties", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.m3u8/5CeBlu260Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5CeBlu260Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305272", "sha": "e88657ada96a433ea5639887927342e91d0819ea", "translated_description": "Quadrilateral Properties", "image_url": "https://img.youtube.com/vi/5CeBlu260Rw/hqdefault.jpg", "youtube_id": "5CeBlu260Rw", "content_kind": "Video", "readable_id": "quadrilateral-properties"}, {"translated_youtube_id": "inlMrf2d-k4", "relative_url": "/video/kites-as-a-mathematical-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kites-as-a-mathematical-shape", "duration": 338, "translated_title": "Kites as a mathematical shape", "translated_description_html": "", "id": "x1b577232", "description_html": "", "title": "Kites as a mathematical shape", "progress_key": "vx1b577232", "edit_slug": "edit/v/x1b577232", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kites-as-a-mathematical-shape", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-22T00:22:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.m3u8/inlMrf2d-k4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=inlMrf2d-k4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1b577232", "sha": "2221bd5d42f07468f9469c04d945732bb791dfba", "translated_description": "", "image_url": "https://img.youtube.com/vi/inlMrf2d-k4/hqdefault.jpg", "youtube_id": "inlMrf2d-k4", "content_kind": "Video", "readable_id": "kites-as-a-mathematical-shape"}, {"translated_youtube_id": "wPZIa3SjPF0", "relative_url": "/video/quadrilateral-types-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quadrilateral-types-exercise", "duration": 169, "translated_title": "Quadrilateral types exercise", "translated_description_html": "", "id": "x819465b4", "description_html": "", "title": "Quadrilateral types exercise", "progress_key": "vx819465b4", "edit_slug": "edit/v/x819465b4", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/quadrilateral-types-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-09-22T00:22:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.m3u8/wPZIa3SjPF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wPZIa3SjPF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx819465b4", "sha": "c825f8c8a1977242d8a8f3b3e6743cac348b8b3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/wPZIa3SjPF0/hqdefault.jpg", "youtube_id": "wPZIa3SjPF0", "content_kind": "Video", "readable_id": "quadrilateral-types-exercise"}, {"translated_youtube_id": "D5lZ3thuEeA", "relative_url": "/video/scalene-isosceles-equilateral-acute-right-obtuse", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/scalene-isosceles-equilateral-acute-right-obtuse", "duration": 360, "translated_title": "Scalene, isosceles, equilateral, acute, right, and obtuse triangles", "translated_description_html": "", "id": "xdb593bbc", "description_html": "", "title": "Scalene, isosceles, equilateral, acute, right, and obtuse triangles", "progress_key": "vxdb593bbc", "edit_slug": "edit/v/xdb593bbc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/scalene-isosceles-equilateral-acute-right-obtuse", "deleted": false, "backup_timestamp": "2013-10-24T12:26:03Z", "date_added": "2013-10-24T12:26:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D5lZ3thuEeA.mp4/D5lZ3thuEeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D5lZ3thuEeA.mp4/D5lZ3thuEeA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D5lZ3thuEeA.m3u8/D5lZ3thuEeA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D5lZ3thuEeA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdb593bbc", "sha": "41b1a9eda17253a2bbdc2775813a7527c4df1283", "translated_description": "", "image_url": "https://img.youtube.com/vi/D5lZ3thuEeA/hqdefault.jpg", "youtube_id": "D5lZ3thuEeA", "content_kind": "Video", "readable_id": "scalene-isosceles-equilateral-acute-right-obtuse"}, {"translated_youtube_id": "NRS2ZJVVzOI", "relative_url": "/video/recog-triangles-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recog-triangles-example", "duration": 143, "translated_title": "Categorizing triangles", "translated_description_html": "", "id": "x3fd4b56d", "description_html": "", "title": "Categorizing triangles", "progress_key": "vx3fd4b56d", "edit_slug": "edit/v/x3fd4b56d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/recog-triangles-example", "deleted": false, "backup_timestamp": "2013-10-23T21:47:57Z", "date_added": "2013-10-23T21:47:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NRS2ZJVVzOI.mp4/NRS2ZJVVzOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NRS2ZJVVzOI.mp4/NRS2ZJVVzOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NRS2ZJVVzOI.m3u8/NRS2ZJVVzOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NRS2ZJVVzOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3fd4b56d", "sha": "a58f6f7349a8a9ae4840957674d56e7ebc919401", "translated_description": "", "image_url": "https://img.youtube.com/vi/NRS2ZJVVzOI/hqdefault.jpg", "youtube_id": "NRS2ZJVVzOI", "content_kind": "Video", "readable_id": "recog-triangles-example"}, {"translated_youtube_id": "PiQxA9O7Rd8", "relative_url": "/video/classifying-shapes-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classifying-shapes-examples", "duration": 135, "translated_title": "Examples with perpendicular lines and right, obtuse, acute triangles", "translated_description_html": "", "id": "xe37249c4", "description_html": "", "title": "Examples with perpendicular lines and right, obtuse, acute triangles", "progress_key": "vxe37249c4", "edit_slug": "edit/v/xe37249c4", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/classifying-shapes-examples", "deleted": false, "backup_timestamp": "2013-10-29T05:51:58Z", "date_added": "2013-10-29T05:51:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PiQxA9O7Rd8.mp4/PiQxA9O7Rd8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PiQxA9O7Rd8.mp4/PiQxA9O7Rd8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PiQxA9O7Rd8.m3u8/PiQxA9O7Rd8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PiQxA9O7Rd8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe37249c4", "sha": "f76e89366e0bc9910cc1dd63bf7b222777b990e0", "translated_description": "", "image_url": "https://img.youtube.com/vi/PiQxA9O7Rd8/hqdefault.jpg", "youtube_id": "PiQxA9O7Rd8", "content_kind": "Video", "readable_id": "classifying-shapes-examples"}], "twitter_url": "", "translated_description": "In this tutorial, we'll classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. We'll also learn about special triangles called \"right triangles\".\n\nCommon Core Standard: 4.G.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. We'll also learn about special triangles called \"right triangles\".\n\nCommon Core Standard: 4.G.A.2", "x_pos": 0.0, "node_slug": "cc-4th-classifying-shapes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc16a83ca", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes", "slug": "cc-4th-classifying-shapes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4b16392679f4de65f69e81f735916c85e5ef1963", "standalone_title": "Classifying shapes", "y_pos": 0.0, "current_revision_key": "4b16392679f4de65f69e81f735916c85e5ef1963", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The basic foundations of geometry-lines, rays, angles--will be explored! On top of that, we will start to see how various shapes can be classified!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The basic foundations of geometry-lines, rays, angles--will be explored! On top of that, we will start to see how various shapes can be classified!", "x_pos": 0.0, "node_slug": "cc-4th-geometry-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd796b5cb", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-geometry-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-geometry-topic", "slug": "cc-4th-geometry-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "938b87d99d7286d24731e2f2f1034019cf2ccf57", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "938b87d99d7286d24731e2f2f1034019cf2ccf57", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fact-mult-topic", "translated_standalone_title": "Factors and multiples", "translated_title": "Factors and multiples", "gplus_url": "", "id": "xa391e5e5", "old_key_name": null, "hide": false, "title": "Factors and multiples", "child_data": [{"kind": "Topic", "id": "x14d90c9b"}, {"kind": "Topic", "id": "xc3e9ae5c"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-prime-composite", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-prime-composite", "translated_standalone_title": "Prime and composite numbers", "translated_title": "Prime and composite numbers", "gplus_url": "", "id": "x14d90c9b", "old_key_name": null, "hide": false, "title": "Prime and composite numbers", "child_data": [{"kind": "Video", "id": 85595310}, {"kind": "Video", "id": 158925083}, {"kind": "Exercise", "id": 3849070}, {"kind": "Exercise", "id": 702484106}], "children": [{"translated_youtube_id": "mIStB5X4U8M", "relative_url": "/video/prime-numbers", "has_questions": false, "keywords": "prime, numbers, CC_4_OA_4", "ka_url": "http://www.khanacademy.org/video/prime-numbers", "duration": 493, "translated_title": "Prime numbers", "translated_description_html": "Identifying prime numbers", "id": "85595310", "description_html": "Identifying prime numbers", "title": "Prime numbers", "progress_key": "v85595310", "edit_slug": "edit/v/85595310", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identifying prime numbers", "extra_properties": null, "node_slug": "v/prime-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-05-12T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.mp4/mIStB5X4U8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.mp4/mIStB5X4U8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.m3u8/mIStB5X4U8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mIStB5X4U8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85595310", "sha": "110b70e47a69407e3c1616b781b977bfd712c3e4", "translated_description": "Identifying prime numbers", "image_url": "https://img.youtube.com/vi/mIStB5X4U8M/hqdefault.jpg", "youtube_id": "mIStB5X4U8M", "content_kind": "Video", "readable_id": "prime-numbers"}, {"translated_youtube_id": "3h4UK62Qrbo", "relative_url": "/video/recognizing-prime-numbers", "has_questions": false, "keywords": "U02_L1_T3_we4, Recognizing, Prime, Numbers", "ka_url": "http://www.khanacademy.org/video/recognizing-prime-numbers", "duration": 280, "translated_title": "Recognizing prime numbers", "translated_description_html": "Recognizing Prime Numbers", "id": "158925083", "description_html": "Recognizing Prime Numbers", "title": "Recognizing prime numbers", "progress_key": "v158925083", "edit_slug": "edit/v/158925083", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Recognizing Prime Numbers", "extra_properties": null, "node_slug": "v/recognizing-prime-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.mp4/3h4UK62Qrbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.mp4/3h4UK62Qrbo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.m3u8/3h4UK62Qrbo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3h4UK62Qrbo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925083", "sha": "443ec482422c10d998c2911017caf6b4f28a1ca7", "translated_description": "Recognizing Prime Numbers", "image_url": "https://img.youtube.com/vi/3h4UK62Qrbo/hqdefault.jpg", "youtube_id": "3h4UK62Qrbo", "content_kind": "Video", "readable_id": "recognizing-prime-numbers"}], "twitter_url": "", "translated_description": "Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.\n\nCommon Core Standard: 4.OA.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.\n\nCommon Core Standard: 4.OA.B.4", "x_pos": 0.0, "node_slug": "cc-4th-prime-composite", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax14d90c9b", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-prime-composite", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-prime-composite", "slug": "cc-4th-prime-composite", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0288a274c417eb6e9baee11c170abc8f499a9ba8", "standalone_title": "Prime and composite numbers", "y_pos": 0.0, "current_revision_key": "0288a274c417eb6e9baee11c170abc8f499a9ba8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-factors-multiples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-factors-multiples", "translated_standalone_title": "Factors and multiples", "translated_title": "Factors and multiples", "gplus_url": "", "id": "xc3e9ae5c", "old_key_name": null, "hide": false, "title": "Factors and multiples", "child_data": [{"kind": "Video", "id": 2600703}, {"kind": "Video", "id": "xb863d3f2"}, {"kind": "Exercise", "id": 338014133}, {"kind": "Video", "id": 884313452}, {"kind": "Exercise", "id": 805202785}], "children": [{"translated_youtube_id": "vcn2ruTOwFo", "relative_url": "/video/finding-factors-of-a-number", "has_questions": false, "keywords": "U02_L1_T3_we2, Finding, Factors, of, Number, CC_3_OA_6, CC_4_OA_4, CC_6_NS_4, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/finding-factors-of-a-number", "duration": 593, "translated_title": "Finding factors of a number", "translated_description_html": "Finding Factors of a Number", "id": "2600703", "description_html": "Finding Factors of a Number", "title": "Finding factors of a number", "progress_key": "v2600703", "edit_slug": "edit/v/2600703", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding Factors of a Number", "extra_properties": null, "node_slug": "v/finding-factors-of-a-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.m3u8/vcn2ruTOwFo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vcn2ruTOwFo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600703", "sha": "a59a56ac23fd6b41c5c877434c5f20dcf629177e", "translated_description": "Finding Factors of a Number", "image_url": "https://img.youtube.com/vi/vcn2ruTOwFo/hqdefault.jpg", "youtube_id": "vcn2ruTOwFo", "content_kind": "Video", "readable_id": "finding-factors-of-a-number"}, {"translated_youtube_id": "5xe-6GPR_qQ", "relative_url": "/video/finding-factors-and-multiples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-factors-and-multiples", "duration": 240, "translated_title": "Finding factors and multiples", "translated_description_html": "", "id": "xb863d3f2", "description_html": "", "title": "Finding factors and multiples", "progress_key": "vxb863d3f2", "edit_slug": "edit/v/xb863d3f2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-factors-and-multiples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-05T18:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.mp4/5xe-6GPR_qQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.mp4/5xe-6GPR_qQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.m3u8/5xe-6GPR_qQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5xe-6GPR_qQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb863d3f2", "sha": "8be2c8435a50cad765acd9fedaf8137e12264d7d", "translated_description": "", "image_url": "https://img.youtube.com/vi/5xe-6GPR_qQ/hqdefault.jpg", "youtube_id": "5xe-6GPR_qQ", "content_kind": "Video", "readable_id": "finding-factors-and-multiples"}, {"translated_youtube_id": "AHRh3EpJQH0", "relative_url": "/video/divisibility-intuition", "has_questions": false, "keywords": "divisibility, factors, intuition", "ka_url": "http://www.khanacademy.org/video/divisibility-intuition", "duration": 190, "translated_title": "Divisibility intuition", "translated_description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "id": "884313452", "description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "title": "Divisibility intuition", "progress_key": "v884313452", "edit_slug": "edit/v/884313452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "extra_properties": null, "node_slug": "v/divisibility-intuition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-07-03T14:14:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.m3u8/AHRh3EpJQH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AHRh3EpJQH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884313452", "sha": "b43d67ade1c2e6f948dab8c92be243c19b43e72f", "translated_description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "image_url": "https://img.youtube.com/vi/AHRh3EpJQH0/hqdefault.jpg", "youtube_id": "AHRh3EpJQH0", "content_kind": "Video", "readable_id": "divisibility-intuition"}], "twitter_url": "", "translated_description": "In this tutorial, we'll begin to think about the numbers that \"make up\" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!\n\nCommon Core Standard: 4.OA.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll begin to think about the numbers that \"make up\" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!\n\nCommon Core Standard: 4.OA.B.4", "x_pos": 0.0, "node_slug": "cc-4th-factors-multiples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc3e9ae5c", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-factors-multiples", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-factors-multiples", "slug": "cc-4th-factors-multiples", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6c500d5a797db60ff993512315e28f62da7bbd6f", "standalone_title": "Factors and multiples", "y_pos": 0.0, "current_revision_key": "6c500d5a797db60ff993512315e28f62da7bbd6f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We know that 3x2x5 = 30. So 2, 3, and 5 are factors of 30. 30 is a multiple of each of 3, 2, and 5. If a number only has itself and 1 as factors, then the number is \"prime\". Don't worry, this is explained in much more depth in the tutorials in this topic.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We know that 3x2x5 = 30. So 2, 3, and 5 are factors of 30. 30 is a multiple of each of 3, 2, and 5. If a number only has itself and 1 as factors, then the number is \"prime\". Don't worry, this is explained in much more depth in the tutorials in this topic.", "x_pos": 0.0, "node_slug": "cc-4th-fact-mult-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa391e5e5", "topic_page_url": "/math/cc-fourth-grade-math/cc-4th-fact-mult-topic", "extended_slug": "math/cc-fourth-grade-math/cc-4th-fact-mult-topic", "slug": "cc-4th-fact-mult-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "87b989bf8f0cea4d409feb6a1a84bec1ea6a5d86", "standalone_title": "Factors and multiples", "y_pos": 0.0, "current_revision_key": "87b989bf8f0cea4d409feb6a1a84bec1ea6a5d86", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi", "translated_standalone_title": "Place value and rounding", "translated_title": "Place value and rounding", "gplus_url": "", "id": "x4d29b2d1", "old_key_name": null, "hide": false, "title": "Place value and rounding", "child_data": [{"kind": "Topic", "id": "x70d36e3f"}, {"kind": "Topic", "id": "x00d87fa7"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-place-value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-place-value", "translated_standalone_title": "Place value", "translated_title": "Place value", "gplus_url": "", "id": "x70d36e3f", "old_key_name": null, "hide": false, "title": "Place value", "child_data": [{"kind": "Video", "id": 2600657}, {"kind": "Video", "id": 2600658}, {"kind": "Video", "id": 2600659}, {"kind": "Exercise", "id": 195728164}, {"kind": "Video", "id": "x19b4a5d9"}, {"kind": "Video", "id": "x958d77f4"}, {"kind": "Exercise", "id": "x1f6e2286"}, {"kind": "Video", "id": "xd5b498ba"}, {"kind": "Video", "id": "x40b497d9"}, {"kind": "Video", "id": "x38b629b7"}, {"kind": "Exercise", "id": "xd4ef053c"}], "children": [{"translated_youtube_id": "jxA8MffVmPs", "relative_url": "/video/place-value-1", "has_questions": false, "keywords": "U01_L1_T1_we1, Place, Value, CC_2_NBT_6", "ka_url": "http://www.khanacademy.org/video/place-value-1", "duration": 145, "translated_title": "Place value 1", "translated_description_html": "Place Value 1", "id": "2600657", "description_html": "Place Value 1", "title": "Place value 1", "progress_key": "v2600657", "edit_slug": "edit/v/2600657", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 1", "extra_properties": null, "node_slug": "v/place-value-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.m3u8/jxA8MffVmPs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jxA8MffVmPs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600657", "sha": "34e29118781721521e09334a2a532e91ccec8f7f", "translated_description": "Place Value 1", "image_url": "https://img.youtube.com/vi/jxA8MffVmPs/hqdefault.jpg", "youtube_id": "jxA8MffVmPs", "content_kind": "Video", "readable_id": "place-value-1"}, {"translated_youtube_id": "wd4cRAoBOiE", "relative_url": "/video/place-value-2", "has_questions": false, "keywords": "U01_L1_T1_we2, Place, Value", "ka_url": "http://www.khanacademy.org/video/place-value-2", "duration": 249, "translated_title": "Place value 2", "translated_description_html": "Place Value 2", "id": "2600658", "description_html": "Place Value 2", "title": "Place value 2", "progress_key": "v2600658", "edit_slug": "edit/v/2600658", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 2", "extra_properties": null, "node_slug": "v/place-value-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.m3u8/wd4cRAoBOiE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wd4cRAoBOiE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600658", "sha": "8a5680de20c1b8729cdc97082702b3d14e75290d", "translated_description": "Place Value 2", "image_url": "https://img.youtube.com/vi/wd4cRAoBOiE/hqdefault.jpg", "youtube_id": "wd4cRAoBOiE", "content_kind": "Video", "readable_id": "place-value-2"}, {"translated_youtube_id": "iK0y39rjBgQ", "relative_url": "/video/place-value-3", "has_questions": false, "keywords": "U01_L1_T1_we3, Place, Value", "ka_url": "http://www.khanacademy.org/video/place-value-3", "duration": 320, "translated_title": "Place value 3", "translated_description_html": "Place Value 3", "id": "2600659", "description_html": "Place Value 3", "title": "Place value 3", "progress_key": "v2600659", "edit_slug": "edit/v/2600659", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 3", "extra_properties": null, "node_slug": "v/place-value-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.mp4/iK0y39rjBgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.mp4/iK0y39rjBgQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.m3u8/iK0y39rjBgQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iK0y39rjBgQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600659", "sha": "39d755c4866ad51a3c5ba5208dfc2cea6ff39d82", "translated_description": "Place Value 3", "image_url": "https://img.youtube.com/vi/iK0y39rjBgQ/hqdefault.jpg", "youtube_id": "iK0y39rjBgQ", "content_kind": "Video", "readable_id": "place-value-3"}, {"translated_youtube_id": "dZPOCU10TqY", "relative_url": "/video/comparing-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-place-values", "duration": 150, "translated_title": "Comparing place values", "translated_description_html": "", "id": "x19b4a5d9", "description_html": "", "title": "Comparing place values", "progress_key": "vx19b4a5d9", "edit_slug": "edit/v/x19b4a5d9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-19T19:55:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.mp4/dZPOCU10TqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.mp4/dZPOCU10TqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.m3u8/dZPOCU10TqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dZPOCU10TqY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19b4a5d9", "sha": "980ab6c46514b836e9c304a830a9bb64fe3c977e", "translated_description": "", "image_url": "https://img.youtube.com/vi/dZPOCU10TqY/hqdefault.jpg", "youtube_id": "dZPOCU10TqY", "content_kind": "Video", "readable_id": "comparing-place-values"}, {"translated_youtube_id": "jyKMEANFNi0", "relative_url": "/video/understanding-place-value-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-place-value-1-exercise", "duration": 209, "translated_title": "Understanding place value 1 exercise", "translated_description_html": "", "id": "x958d77f4", "description_html": "", "title": "Understanding place value 1 exercise", "progress_key": "vx958d77f4", "edit_slug": "edit/v/x958d77f4", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-place-value-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.mp4/jyKMEANFNi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.mp4/jyKMEANFNi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.m3u8/jyKMEANFNi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jyKMEANFNi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx958d77f4", "sha": "cf2b07cf6b4ead29bc72684f64c97eb1f7f919f4", "translated_description": "", "image_url": "https://img.youtube.com/vi/jyKMEANFNi0/hqdefault.jpg", "youtube_id": "jyKMEANFNi0", "content_kind": "Video", "readable_id": "understanding-place-value-1-exercise"}, {"translated_youtube_id": "a_mzIWvHx_Y", "relative_url": "/video/regrouping-numbers-intro-various-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-numbers-intro-various-place-values", "duration": 154, "translated_title": "Regrouping numbers intro various place values", "translated_description_html": "", "id": "xd5b498ba", "description_html": "", "title": "Regrouping numbers intro various place values", "progress_key": "vxd5b498ba", "edit_slug": "edit/v/xd5b498ba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-numbers-intro-various-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T01:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.mp4/a_mzIWvHx_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.mp4/a_mzIWvHx_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.m3u8/a_mzIWvHx_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a_mzIWvHx_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd5b498ba", "sha": "e8ea73b0e3db97de5d7a32ebb45da648318c3f13", "translated_description": "", "image_url": "https://img.youtube.com/vi/a_mzIWvHx_Y/hqdefault.jpg", "youtube_id": "a_mzIWvHx_Y", "content_kind": "Video", "readable_id": "regrouping-numbers-intro-various-place-values"}, {"translated_youtube_id": "3Xcae0OGavk", "relative_url": "/video/comparing-whole-number-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-whole-number-place-values", "duration": 91, "translated_title": "Comparing whole number place values", "translated_description_html": "", "id": "x40b497d9", "description_html": "", "title": "Comparing whole number place values", "progress_key": "vx40b497d9", "edit_slug": "edit/v/x40b497d9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-whole-number-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T01:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.mp4/3Xcae0OGavk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.mp4/3Xcae0OGavk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.m3u8/3Xcae0OGavk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Xcae0OGavk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx40b497d9", "sha": "ec8b32f0681e714876c5c05577f08130b0f1cea5", "translated_description": "", "image_url": "https://img.youtube.com/vi/3Xcae0OGavk/hqdefault.jpg", "youtube_id": "3Xcae0OGavk", "content_kind": "Video", "readable_id": "comparing-whole-number-place-values"}, {"translated_youtube_id": "k3qZCxL5TeE", "relative_url": "/video/largest-possible-number-from-4-digits-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/largest-possible-number-from-4-digits-example", "duration": 138, "translated_title": "Largest possible number from 4 digits example", "translated_description_html": "", "id": "x38b629b7", "description_html": "", "title": "Largest possible number from 4 digits example", "progress_key": "vx38b629b7", "edit_slug": "edit/v/x38b629b7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/largest-possible-number-from-4-digits-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T01:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.mp4/k3qZCxL5TeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.mp4/k3qZCxL5TeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.m3u8/k3qZCxL5TeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3qZCxL5TeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx38b629b7", "sha": "298609757a163deb0e3b6a62b906e38a0be3f85b", "translated_description": "", "image_url": "https://img.youtube.com/vi/k3qZCxL5TeE/hqdefault.jpg", "youtube_id": "k3qZCxL5TeE", "content_kind": "Video", "readable_id": "largest-possible-number-from-4-digits-example"}], "twitter_url": "", "translated_description": "In this tutorial we'll really dissect numbers to think about what they represent.\n\nCommon Core Standards: 4.NBT.A.1\t, 4.NBT.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll really dissect numbers to think about what they represent.\n\nCommon Core Standards: 4.NBT.A.1\t, 4.NBT.A.2\t", "x_pos": 0.0, "node_slug": "cc-4th-place-value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax70d36e3f", "topic_page_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-place-value", "extended_slug": "math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-place-value", "slug": "cc-4th-place-value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "580ed5914f92ad4f3dc89b39b04f70c7e92c2c07", "standalone_title": "Place value", "y_pos": 0.0, "current_revision_key": "580ed5914f92ad4f3dc89b39b04f70c7e92c2c07", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-rounding", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-rounding", "translated_standalone_title": "Rounding whole numbers", "translated_title": "Rounding whole numbers", "gplus_url": "", "id": "x00d87fa7", "old_key_name": null, "hide": false, "title": "Rounding whole numbers", "child_data": [{"kind": "Video", "id": 2600660}, {"kind": "Video", "id": 2600661}, {"kind": "Video", "id": 2600662}, {"kind": "Exercise", "id": 274889844}], "children": [{"translated_youtube_id": "_qzs1zozTBo", "relative_url": "/video/rounding-whole-numbers-1", "has_questions": false, "keywords": "U01_L1_T2_we1, Rounding, Whole, Numbers, CC_3_NBT_1, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-1", "duration": 263, "translated_title": "Rounding whole numbers 1", "translated_description_html": "Rounding Whole Numbers 1", "id": "2600660", "description_html": "Rounding Whole Numbers 1", "title": "Rounding whole numbers 1", "progress_key": "v2600660", "edit_slug": "edit/v/2600660", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 1", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.mp4/_qzs1zozTBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.mp4/_qzs1zozTBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.m3u8/_qzs1zozTBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_qzs1zozTBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600660", "sha": "aa495fdab88029964ccbf39ed442ffc9db629125", "translated_description": "Rounding Whole Numbers 1", "image_url": "https://img.youtube.com/vi/_qzs1zozTBo/hqdefault.jpg", "youtube_id": "_qzs1zozTBo", "content_kind": "Video", "readable_id": "rounding-whole-numbers-1"}, {"translated_youtube_id": "fh8gkPW_6g4", "relative_url": "/video/rounding-whole-numbers-2", "has_questions": false, "keywords": "U01_L1_T2_we2, Rounding, Whole, Numbers, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-2", "duration": 148, "translated_title": "Rounding whole numbers 2", "translated_description_html": "Rounding Whole Numbers 2", "id": "2600661", "description_html": "Rounding Whole Numbers 2", "title": "Rounding whole numbers 2", "progress_key": "v2600661", "edit_slug": "edit/v/2600661", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 2", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.mp4/fh8gkPW_6g4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.mp4/fh8gkPW_6g4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.m3u8/fh8gkPW_6g4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fh8gkPW_6g4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600661", "sha": "5d683869dc941233db2c1681b90da9fd87217ff3", "translated_description": "Rounding Whole Numbers 2", "image_url": "https://img.youtube.com/vi/fh8gkPW_6g4/hqdefault.jpg", "youtube_id": "fh8gkPW_6g4", "content_kind": "Video", "readable_id": "rounding-whole-numbers-2"}, {"translated_youtube_id": "3jBfLaLrk6I", "relative_url": "/video/rounding-whole-numbers-3", "has_questions": false, "keywords": "U01_L1_T2_we3, Rounding, Whole, Numbers, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-3", "duration": 64, "translated_title": "Rounding whole numbers 3", "translated_description_html": "Rounding Whole Numbers 3", "id": "2600662", "description_html": "Rounding Whole Numbers 3", "title": "Rounding whole numbers 3", "progress_key": "v2600662", "edit_slug": "edit/v/2600662", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 3", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.mp4/3jBfLaLrk6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.mp4/3jBfLaLrk6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.m3u8/3jBfLaLrk6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3jBfLaLrk6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600662", "sha": "8fb79fb074cd5c208f97ef8170e19976ea69ace2", "translated_description": "Rounding Whole Numbers 3", "image_url": "https://img.youtube.com/vi/3jBfLaLrk6I/hqdefault.jpg", "youtube_id": "3jBfLaLrk6I", "content_kind": "Video", "readable_id": "rounding-whole-numbers-3"}], "twitter_url": "", "translated_description": "If you're looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs). In this tutorial, you'll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.\n\nCommon Core Standard: 4.NBT.A.3\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you're looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs). In this tutorial, you'll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.\n\nCommon Core Standard: 4.NBT.A.3\t", "x_pos": 0.0, "node_slug": "cc-4th-rounding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax00d87fa7", "topic_page_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-rounding", "extended_slug": "math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi/cc-4th-rounding", "slug": "cc-4th-rounding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1f045cb827812c42fbcc6e990f684f5b53e1e3c0", "standalone_title": "Rounding whole numbers", "y_pos": 0.0, "current_revision_key": "1f045cb827812c42fbcc6e990f684f5b53e1e3c0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We've been exploring place value for several years now, but now we make sure that we **really** get how one place relates to another. We then use this deep understanding for understanding the conventions for rounding.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We've been exploring place value for several years now, but now we make sure that we **really** get how one place relates to another. We then use this deep understanding for understanding the conventions for rounding.", "x_pos": 0.0, "node_slug": "cc-5th-place-value-rounding-topi", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d29b2d1", "topic_page_url": "/math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi", "extended_slug": "math/cc-fourth-grade-math/cc-5th-place-value-rounding-topi", "slug": "cc-5th-place-value-rounding-topi", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "161f6d58ede5a9647dcd3e550fcf3d4f7e7e8bec", "standalone_title": "Place value and rounding", "y_pos": 0.0, "current_revision_key": "161f6d58ede5a9647dcd3e550fcf3d4f7e7e8bec", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a \"remainder\") when you divide. \n\n\nIn 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals.\n\n\nOn other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced.\n\n\nAs always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers).\n\nThe fun must not stop!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a \"remainder\") when you divide. \n\n\nIn 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals.\n\n\nOn other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced.\n\n\nAs always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers).\n\nThe fun must not stop!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-fourth-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ec3eb59", "topic_page_url": "/math/cc-fourth-grade-math", "extended_slug": "math/cc-fourth-grade-math", "slug": "cc-fourth-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2b4a76e9a0f7b0b27a83dd559987dd42a94288f4", "standalone_title": "4th grade (U.S.)", "y_pos": 0.0, "current_revision_key": "2b4a76e9a0f7b0b27a83dd559987dd42a94288f4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math", "translated_standalone_title": "5th grade (U.S.)", "translated_title": "5th grade (U.S.)", "gplus_url": "", "id": "xb830458a", "old_key_name": null, "hide": false, "title": "5th grade (U.S.)", "child_data": [{"kind": "Topic", "id": "xdd840283"}, {"kind": "Topic", "id": "x59c3b242"}, {"kind": "Topic", "id": "x91cad26e"}, {"kind": "Topic", "id": "x0ad7497b"}, {"kind": "Topic", "id": "x6e6877f8"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top", "translated_standalone_title": "Place value and decimals", "translated_title": "Place value and decimals", "gplus_url": "", "id": "xdd840283", "old_key_name": null, "hide": false, "title": "Place value and decimals", "child_data": [{"kind": "Topic", "id": "x445657c4"}, {"kind": "Topic", "id": "x0e800c60"}, {"kind": "Topic", "id": "xa7eec680"}, {"kind": "Topic", "id": "x6ceaf7ba"}, {"kind": "Topic", "id": "xa83b1f72"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/5th-cc-decimals-place-val", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/5th-cc-decimals-place-val", "translated_standalone_title": "Conceptualizing decimals and place value", "translated_title": "Conceptualizing decimals and place value", "gplus_url": "", "id": "x445657c4", "old_key_name": null, "hide": false, "title": "Conceptualizing decimals and place value", "child_data": [{"kind": "Video", "id": "xd4b6caae"}, {"kind": "Video", "id": 1805}, {"kind": "Video", "id": "x40ad4b83"}, {"kind": "Video", "id": "xc04367ad"}, {"kind": "Exercise", "id": "x7adb0385"}, {"kind": "Video", "id": "x8be920b7"}, {"kind": "Exercise", "id": "xf8942d6c"}, {"kind": "Video", "id": "x2b3fc392"}, {"kind": "Exercise", "id": 418343167}], "children": [{"translated_youtube_id": "he4kcTujy30", "relative_url": "/video/expanding-out-a-decimal-by-place-value", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/expanding-out-a-decimal-by-place-value", "duration": 173, "translated_title": "Expanding out a decimal by place value", "translated_description_html": "", "id": "xd4b6caae", "description_html": "", "title": "Expanding out a decimal by place value", "progress_key": "vxd4b6caae", "edit_slug": "edit/v/xd4b6caae", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/expanding-out-a-decimal-by-place-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.mp4/he4kcTujy30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.mp4/he4kcTujy30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.m3u8/he4kcTujy30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=he4kcTujy30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd4b6caae", "sha": "712260b29e330726fc0189275b05cbcc7996c610", "translated_description": "", "image_url": "https://img.youtube.com/vi/he4kcTujy30/hqdefault.jpg", "youtube_id": "he4kcTujy30", "content_kind": "Video", "readable_id": "expanding-out-a-decimal-by-place-value"}, {"translated_youtube_id": "AuD2TX-90Cc", "relative_url": "/video/decimal-place-value-2", "has_questions": false, "keywords": "U03_L1_T1_we2, Decimal, Place, Value, CC_5_NBT_3_a", "ka_url": "http://www.khanacademy.org/video/decimal-place-value-2", "duration": 211, "translated_title": "Writing out a decimal in words", "translated_description_html": "

Decimal Place Value 2<\/p>", "id": "1805", "description_html": "

Decimal Place Value 2<\/p>", "title": "Writing out a decimal in words", "progress_key": "v1805", "edit_slug": "edit/v/1805", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Decimal Place Value 2", "extra_properties": {}, "node_slug": "v/decimal-place-value-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.m3u8/AuD2TX-90Cc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AuD2TX-90Cc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1805", "sha": "5bedc8db364d6ca11f94afce15fd764ca7781e6f", "translated_description": "Decimal Place Value 2", "image_url": "https://img.youtube.com/vi/AuD2TX-90Cc/hqdefault.jpg", "youtube_id": "AuD2TX-90Cc", "content_kind": "Video", "readable_id": "decimal-place-value-2"}, {"translated_youtube_id": "G7QiIkYfeME", "relative_url": "/video/writing-out-a-decimal-in-words", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-out-a-decimal-in-words", "duration": 202, "translated_title": "Writing out a decimal in words 2", "translated_description_html": "", "id": "x40ad4b83", "description_html": "", "title": "Writing out a decimal in words 2", "progress_key": "vx40ad4b83", "edit_slug": "edit/v/x40ad4b83", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-out-a-decimal-in-words", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.mp4/G7QiIkYfeME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.mp4/G7QiIkYfeME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.m3u8/G7QiIkYfeME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G7QiIkYfeME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx40ad4b83", "sha": "6df88b7de3787fc0056a4215f894da6672d2cd3c", "translated_description": "", "image_url": "https://img.youtube.com/vi/G7QiIkYfeME/hqdefault.jpg", "youtube_id": "G7QiIkYfeME", "content_kind": "Video", "readable_id": "writing-out-a-decimal-in-words"}, {"translated_youtube_id": "5DlzmolR8Cg", "relative_url": "/video/writing-a-decimal-to-represent-a-quantity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-a-decimal-to-represent-a-quantity", "duration": 162, "translated_title": "Writing a decimal to represent a quantity", "translated_description_html": "", "id": "xc04367ad", "description_html": "", "title": "Writing a decimal to represent a quantity", "progress_key": "vxc04367ad", "edit_slug": "edit/v/xc04367ad", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-a-decimal-to-represent-a-quantity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.mp4/5DlzmolR8Cg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.mp4/5DlzmolR8Cg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.m3u8/5DlzmolR8Cg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5DlzmolR8Cg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc04367ad", "sha": "1d6aaef3c4e923089c1ff42ed361f0f5a0730db7", "translated_description": "", "image_url": "https://img.youtube.com/vi/5DlzmolR8Cg/hqdefault.jpg", "youtube_id": "5DlzmolR8Cg", "content_kind": "Video", "readable_id": "writing-a-decimal-to-represent-a-quantity"}, {"translated_youtube_id": "lR_kUUPL8YY", "relative_url": "/video/comparing-place-values-in-decimals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-place-values-in-decimals", "duration": 340, "translated_title": "Comparing place values in decimals", "translated_description_html": "", "id": "x8be920b7", "description_html": "", "title": "Comparing place values in decimals", "progress_key": "vx8be920b7", "edit_slug": "edit/v/x8be920b7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-place-values-in-decimals", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-22T00:29:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.mp4/lR_kUUPL8YY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.mp4/lR_kUUPL8YY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.m3u8/lR_kUUPL8YY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lR_kUUPL8YY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8be920b7", "sha": "57f3f473592c2776ea7f7cfb383d42b59a2e3dc3", "translated_description": "", "image_url": "https://img.youtube.com/vi/lR_kUUPL8YY/hqdefault.jpg", "youtube_id": "lR_kUUPL8YY", "content_kind": "Video", "readable_id": "comparing-place-values-in-decimals"}, {"translated_youtube_id": "-oFlAhtear4", "relative_url": "/video/understanding-decimal-place-value-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-decimal-place-value-exercise", "duration": 67, "translated_title": "Using money to understand decimal place value", "translated_description_html": "", "id": "x2b3fc392", "description_html": "", "title": "Using money to understand decimal place value", "progress_key": "vx2b3fc392", "edit_slug": "edit/v/x2b3fc392", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/understanding-decimal-place-value-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-01T01:23:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.mp4/-oFlAhtear4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.mp4/-oFlAhtear4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.m3u8/-oFlAhtear4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oFlAhtear4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2b3fc392", "sha": "e2c44e08115770259d845c524a6aa8871c775e13", "translated_description": "", "image_url": "https://img.youtube.com/vi/-oFlAhtear4/hqdefault.jpg", "youtube_id": "-oFlAhtear4", "content_kind": "Video", "readable_id": "understanding-decimal-place-value-exercise"}], "twitter_url": "", "translated_description": "In this tutorial, we'll really think about what the different digits represent in a decimal (and how they relate to each other).\n\nCommon Core Standards: 5.NBT.A.1\t, 5.NBT.A.3, 5.NBT.A.3a", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll really think about what the different digits represent in a decimal (and how they relate to each other).\n\nCommon Core Standards: 5.NBT.A.1\t, 5.NBT.A.3, 5.NBT.A.3a", "x_pos": 0.0, "node_slug": "5th-cc-decimals-place-val", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax445657c4", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/5th-cc-decimals-place-val", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/5th-cc-decimals-place-val", "slug": "5th-cc-decimals-place-val", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dcea2ec718bc2c855df5cf3f79575f4b06eb6f7f", "standalone_title": "Conceptualizing decimals and place value", "y_pos": 0.0, "current_revision_key": "dcea2ec718bc2c855df5cf3f79575f4b06eb6f7f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-regrouping-decimal-nums", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-regrouping-decimal-nums", "translated_standalone_title": "Regrouping decimal numbers", "translated_title": "Regrouping decimal numbers", "gplus_url": "", "id": "x0e800c60", "old_key_name": null, "hide": false, "title": "Regrouping decimal numbers", "child_data": [{"kind": "Video", "id": "x04178bbd"}, {"kind": "Video", "id": "xa0f03f8e"}, {"kind": "Video", "id": "xa60f4010"}, {"kind": "Exercise", "id": "xec809b3d"}, {"kind": "Video", "id": "x5bceab99"}, {"kind": "Video", "id": "x4295aa9b"}, {"kind": "Video", "id": "x2448af74"}, {"kind": "Exercise", "id": "x1f3cdba0"}], "children": [{"translated_youtube_id": "X3JqIZR1XcY", "relative_url": "/video/regrouping-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers", "duration": 263, "translated_title": "Regrouping whole numbers", "translated_description_html": "", "id": "x04178bbd", "description_html": "", "title": "Regrouping whole numbers", "progress_key": "vx04178bbd", "edit_slug": "edit/v/x04178bbd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T05:20:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.mp4/X3JqIZR1XcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.mp4/X3JqIZR1XcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.m3u8/X3JqIZR1XcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X3JqIZR1XcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx04178bbd", "sha": "914a8da8e4192d8a6d4f119f4317fc85f39f0e77", "translated_description": "", "image_url": "https://img.youtube.com/vi/X3JqIZR1XcY/hqdefault.jpg", "youtube_id": "X3JqIZR1XcY", "content_kind": "Video", "readable_id": "regrouping-whole-numbers"}, {"translated_youtube_id": "G_mUcQeXak8", "relative_url": "/video/regrouping-whole-numbers-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers-example-1", "duration": 162, "translated_title": "Regrouping whole numbers example 1", "translated_description_html": "", "id": "xa0f03f8e", "description_html": "", "title": "Regrouping whole numbers example 1", "progress_key": "vxa0f03f8e", "edit_slug": "edit/v/xa0f03f8e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.mp4/G_mUcQeXak8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.mp4/G_mUcQeXak8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.m3u8/G_mUcQeXak8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G_mUcQeXak8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa0f03f8e", "sha": "2e2ddd10e945d38d26730d52d3672fb7e99652a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/G_mUcQeXak8/hqdefault.jpg", "youtube_id": "G_mUcQeXak8", "content_kind": "Video", "readable_id": "regrouping-whole-numbers-example-1"}, {"translated_youtube_id": "h_fBMnB1i-0", "relative_url": "/video/regrouping-whole-numbers-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers-example-2", "duration": 79, "translated_title": "Regrouping whole numbers example 2", "translated_description_html": "", "id": "xa60f4010", "description_html": "", "title": "Regrouping whole numbers example 2", "progress_key": "vxa60f4010", "edit_slug": "edit/v/xa60f4010", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.mp4/h_fBMnB1i-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.mp4/h_fBMnB1i-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.m3u8/h_fBMnB1i-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h_fBMnB1i-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa60f4010", "sha": "6502a878d5d8462f48432ff6cd70291b385c1ddf", "translated_description": "", "image_url": "https://img.youtube.com/vi/h_fBMnB1i-0/hqdefault.jpg", "youtube_id": "h_fBMnB1i-0", "content_kind": "Video", "readable_id": "regrouping-whole-numbers-example-2"}, {"translated_youtube_id": "3szFVS5p_7A", "relative_url": "/video/regrouping-with-decimals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-with-decimals", "duration": 255, "translated_title": "Regrouping with decimals", "translated_description_html": "", "id": "x5bceab99", "description_html": "", "title": "Regrouping with decimals", "progress_key": "vx5bceab99", "edit_slug": "edit/v/x5bceab99", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-with-decimals", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.mp4/3szFVS5p_7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.mp4/3szFVS5p_7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.m3u8/3szFVS5p_7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3szFVS5p_7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5bceab99", "sha": "d05c3946fff1fc5966420e93c5f262c0f346f20a", "translated_description": "", "image_url": "https://img.youtube.com/vi/3szFVS5p_7A/hqdefault.jpg", "youtube_id": "3szFVS5p_7A", "content_kind": "Video", "readable_id": "regrouping-with-decimals"}, {"translated_youtube_id": "fNzM0lQHZsk", "relative_url": "/video/regrouping-with-decimals-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-with-decimals-example", "duration": 243, "translated_title": "Regrouping with decimals example", "translated_description_html": "", "id": "x4295aa9b", "description_html": "", "title": "Regrouping with decimals example", "progress_key": "vx4295aa9b", "edit_slug": "edit/v/x4295aa9b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-with-decimals-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.mp4/fNzM0lQHZsk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.mp4/fNzM0lQHZsk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.m3u8/fNzM0lQHZsk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fNzM0lQHZsk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4295aa9b", "sha": "df50cdf1ab1642855f64d8ce9a670468549fa58c", "translated_description": "", "image_url": "https://img.youtube.com/vi/fNzM0lQHZsk/hqdefault.jpg", "youtube_id": "fNzM0lQHZsk", "content_kind": "Video", "readable_id": "regrouping-with-decimals-example"}, {"translated_youtube_id": "dNnItWLuHH4", "relative_url": "/video/regrouping-decimals-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-decimals-example-2", "duration": 208, "translated_title": "Regrouping decimals example 2", "translated_description_html": "", "id": "x2448af74", "description_html": "", "title": "Regrouping decimals example 2", "progress_key": "vx2448af74", "edit_slug": "edit/v/x2448af74", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-decimals-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.mp4/dNnItWLuHH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.mp4/dNnItWLuHH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.m3u8/dNnItWLuHH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dNnItWLuHH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2448af74", "sha": "2edeb0bb40f864e902c1303eb9fe85ed253e0e6c", "translated_description": "", "image_url": "https://img.youtube.com/vi/dNnItWLuHH4/hqdefault.jpg", "youtube_id": "dNnItWLuHH4", "content_kind": "Video", "readable_id": "regrouping-decimals-example-2"}], "twitter_url": "", "translated_description": "Let's explore how we can regroup and redistribute value among the various place values in a decimal number.\n\nCommon Core Standard: 5.NBT.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's explore how we can regroup and redistribute value among the various place values in a decimal number.\n\nCommon Core Standard: 5.NBT.A.1", "x_pos": 0.0, "node_slug": "cc-5th-regrouping-decimal-nums", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0e800c60", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-regrouping-decimal-nums", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-regrouping-decimal-nums", "slug": "cc-5th-regrouping-decimal-nums", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ada211c549088f69f6351d5d0cfdf43b4bda05d3", "standalone_title": "Regrouping decimal numbers", "y_pos": 0.0, "current_revision_key": "ada211c549088f69f6351d5d0cfdf43b4bda05d3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-comparing-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-comparing-decimals", "translated_standalone_title": "Comparing decimals", "translated_title": "Comparing decimals", "gplus_url": "", "id": "xa7eec680", "old_key_name": null, "hide": false, "title": "Comparing decimals", "child_data": [{"kind": "Video", "id": "x76e3cf20"}, {"kind": "Video", "id": 158925084}, {"kind": "Exercise", "id": "xddf6d40a"}], "children": [{"translated_youtube_id": "f8B2dBQn3_U", "relative_url": "/video/comparing-decimals-2-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-2-example", "duration": 264, "translated_title": "Comparing decimals example 3", "translated_description_html": "", "id": "x76e3cf20", "description_html": "", "title": "Comparing decimals example 3", "progress_key": "vx76e3cf20", "edit_slug": "edit/v/x76e3cf20", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-decimals-2-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-12T18:37:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.mp4/f8B2dBQn3_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.mp4/f8B2dBQn3_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.m3u8/f8B2dBQn3_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f8B2dBQn3_U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx76e3cf20", "sha": "eac6dcd0d1e9416023d4d3abc0c8caee853b9d4a", "translated_description": "", "image_url": "https://img.youtube.com/vi/f8B2dBQn3_U/hqdefault.jpg", "youtube_id": "f8B2dBQn3_U", "content_kind": "Video", "readable_id": "comparing-decimals-2-example"}, {"translated_youtube_id": "FwMYoK1QKso", "relative_url": "/video/comparing-decimals-4", "has_questions": false, "keywords": "u03_l1_t2_we4, Comparing, Decimals", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-4", "duration": 128, "translated_title": "Comparing decimals example 4", "translated_description_html": "u03_l1_t2_we4 Comparing Decimals", "id": "158925084", "description_html": "u03_l1_t2_we4 Comparing Decimals", "title": "Comparing decimals example 4", "progress_key": "v158925084", "edit_slug": "edit/v/158925084", "author_names": [], "deleted_mod_time": "2013-07-19T17:19:40Z", "description": "u03_l1_t2_we4 Comparing Decimals", "extra_properties": null, "node_slug": "v/comparing-decimals-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.mp4/FwMYoK1QKso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.mp4/FwMYoK1QKso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.m3u8/FwMYoK1QKso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FwMYoK1QKso&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v158925084", "sha": "572dbafbeba0f953378dde5b368a536f02ae504b", "translated_description": "u03_l1_t2_we4 Comparing Decimals", "image_url": "https://img.youtube.com/vi/FwMYoK1QKso/hqdefault.jpg", "youtube_id": "FwMYoK1QKso", "content_kind": "Video", "readable_id": "comparing-decimals-4"}], "twitter_url": "", "translated_description": "Let's test our understanding of decimals by comparing them to one another!\n\nCommon Core Standard: 5.NBT.A.3b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's test our understanding of decimals by comparing them to one another!\n\nCommon Core Standard: 5.NBT.A.3b", "x_pos": 0.0, "node_slug": "cc-5th-comparing-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa7eec680", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-comparing-decimals", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-comparing-decimals", "slug": "cc-5th-comparing-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "344ed9d5c3204ef4a5037fdf09a7fb7ddaeb6f06", "standalone_title": "Comparing decimals", "y_pos": 0.0, "current_revision_key": "344ed9d5c3204ef4a5037fdf09a7fb7ddaeb6f06", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals", "translated_standalone_title": "Rounding decimals", "translated_title": "Rounding decimals", "gplus_url": "", "id": "x6ceaf7ba", "old_key_name": null, "hide": false, "title": "Rounding decimals", "child_data": [{"kind": "Video", "id": 1808}, {"kind": "Exercise", "id": 66754977}, {"kind": "Video", "id": 1818}, {"kind": "Exercise", "id": 213288729}], "children": [{"translated_youtube_id": "_MIn3zFkEcc", "relative_url": "/video/rounding-decimals", "has_questions": false, "keywords": "U03_L1_T2_we2, Rounding, Decimals, CC_5_NBT_4", "ka_url": "http://www.khanacademy.org/video/rounding-decimals", "duration": 86, "translated_title": "Rounding decimals", "translated_description_html": "Rounding Decimals", "id": "1808", "description_html": "Rounding Decimals", "title": "Rounding decimals", "progress_key": "v1808", "edit_slug": "edit/v/1808", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rounding Decimals", "extra_properties": null, "node_slug": "v/rounding-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.mp4/_MIn3zFkEcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.mp4/_MIn3zFkEcc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.m3u8/_MIn3zFkEcc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_MIn3zFkEcc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1808", "sha": "12a9492ba2a81d3f6685821609d79093bc00f3b5", "translated_description": "Rounding Decimals", "image_url": "https://img.youtube.com/vi/_MIn3zFkEcc/hqdefault.jpg", "youtube_id": "_MIn3zFkEcc", "content_kind": "Video", "readable_id": "rounding-decimals"}, {"translated_youtube_id": "BkwI6Uu0vi4", "relative_url": "/video/estimation-with-decimals", "has_questions": false, "keywords": "U03_L2_T3_we1, Estimation, with, Decimals, CC_5_NBT_4", "ka_url": "http://www.khanacademy.org/video/estimation-with-decimals", "duration": 181, "translated_title": "Estimation with decimals", "translated_description_html": "Estimation with Decimals", "id": "1818", "description_html": "Estimation with Decimals", "title": "Estimation with decimals", "progress_key": "v1818", "edit_slug": "edit/v/1818", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Estimation with Decimals", "extra_properties": null, "node_slug": "v/estimation-with-decimals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.m3u8/BkwI6Uu0vi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BkwI6Uu0vi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1818", "sha": "94bb1cdcf8564090086c48dfba1284062e26a74c", "translated_description": "Estimation with Decimals", "image_url": "https://img.youtube.com/vi/BkwI6Uu0vi4/hqdefault.jpg", "youtube_id": "BkwI6Uu0vi4", "content_kind": "Video", "readable_id": "estimation-with-decimals"}], "twitter_url": "", "translated_description": "One robot hamster rabbit weighs 1.51 kg while another weights 1.49 kg. Is this a big different or a little one? Say you want a robot hamster that roughly weighs 1.5kg. Will either do?\n\nLet's get some practice rounding with decimals!\n\nCommon Core Standard: 5.NBT.A.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "One robot hamster rabbit weighs 1.51 kg while another weights 1.49 kg. Is this a big different or a little one? Say you want a robot hamster that roughly weighs 1.5kg. Will either do?\n\nLet's get some practice rounding with decimals!\n\nCommon Core Standard: 5.NBT.A.4", "x_pos": 0.0, "node_slug": "cc-5th-rounding-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6ceaf7ba", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals", "slug": "cc-5th-rounding-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de893db1248d4d4c59f1bee7de30be4c185abe9c", "standalone_title": "Rounding decimals", "y_pos": 0.0, "current_revision_key": "de893db1248d4d4c59f1bee7de30be4c185abe9c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10", "translated_standalone_title": "Multiplication by powers of 10", "translated_title": "Multiplication by powers of 10", "gplus_url": "", "id": "xa83b1f72", "old_key_name": null, "hide": false, "title": "Multiplication by powers of 10", "child_data": [{"kind": "Video", "id": "x8f37f955"}, {"kind": "Video", "id": "x4bccbc14"}, {"kind": "Exercise", "id": "x0cead198"}, {"kind": "Video", "id": 153770145}, {"kind": "Video", "id": 153770148}, {"kind": "Video", "id": 1816}, {"kind": "Exercise", "id": 520461717}], "children": [{"translated_youtube_id": "YJdCw2fK-Og", "relative_url": "/video/powers-of-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-10", "duration": 334, "translated_title": "Powers of 10", "translated_description_html": "", "id": "x8f37f955", "description_html": "", "title": "Powers of 10", "progress_key": "vx8f37f955", "edit_slug": "edit/v/x8f37f955", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/powers-of-10", "deleted": false, "backup_timestamp": "2013-10-18T23:07:04Z", "date_added": "2013-10-18T23:07:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJdCw2fK-Og.mp4/YJdCw2fK-Og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJdCw2fK-Og.mp4/YJdCw2fK-Og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YJdCw2fK-Og.m3u8/YJdCw2fK-Og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YJdCw2fK-Og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8f37f955", "sha": "6301e108ec42f8cf2995541bfad21ab121e37bfc", "translated_description": "", "image_url": "https://img.youtube.com/vi/YJdCw2fK-Og/hqdefault.jpg", "youtube_id": "YJdCw2fK-Og", "content_kind": "Video", "readable_id": "powers-of-10"}, {"translated_youtube_id": "pYaIjA4CsKo", "relative_url": "/video/patterns-in-zeros-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/patterns-in-zeros-exercise", "duration": 416, "translated_title": "Patterns in zeros exercise", "translated_description_html": "", "id": "x4bccbc14", "description_html": "", "title": "Patterns in zeros exercise", "progress_key": "vx4bccbc14", "edit_slug": "edit/v/x4bccbc14", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/patterns-in-zeros-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.mp4/pYaIjA4CsKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.mp4/pYaIjA4CsKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.m3u8/pYaIjA4CsKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pYaIjA4CsKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4bccbc14", "sha": "7235161f5782af04a3535908a51c4387803abc42", "translated_description": "", "image_url": "https://img.youtube.com/vi/pYaIjA4CsKo/hqdefault.jpg", "youtube_id": "pYaIjA4CsKo", "content_kind": "Video", "readable_id": "patterns-in-zeros-exercise"}, {"translated_youtube_id": "mV0RxDZG05A", "relative_url": "/video/multiplying-a-decimal-by-a-power-of-10", "has_questions": false, "keywords": "u3_l2_t2_we2, Multiplying, Decimal, by, Power, of, 10, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplying-a-decimal-by-a-power-of-10", "duration": 227, "translated_title": "Multiplying a decimal by a power of 10", "translated_description_html": "Multiplying a Decimal by a Power of 10", "id": "153770145", "description_html": "Multiplying a Decimal by a Power of 10", "title": "Multiplying a decimal by a power of 10", "progress_key": "v153770145", "edit_slug": "edit/v/153770145", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying a Decimal by a Power of 10", "extra_properties": null, "node_slug": "v/multiplying-a-decimal-by-a-power-of-10", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.m3u8/mV0RxDZG05A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mV0RxDZG05A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770145", "sha": "cb2a144b66a26a6539eee5bc3fd3b1e0a8764a18", "translated_description": "Multiplying a Decimal by a Power of 10", "image_url": "https://img.youtube.com/vi/mV0RxDZG05A/hqdefault.jpg", "youtube_id": "mV0RxDZG05A", "content_kind": "Video", "readable_id": "multiplying-a-decimal-by-a-power-of-10"}, {"translated_youtube_id": "W_VhVHRal6o", "relative_url": "/video/dividing-a-decimal-by-a-power-of-10", "has_questions": false, "keywords": "u3_l2_t2_we4, Dividing, Decimal, by, Power, of, 10, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-a-decimal-by-a-power-of-10", "duration": 198, "translated_title": "Dividing a decimal by a power of 10", "translated_description_html": "Dividing a Decimal by a Power of 10", "id": "153770148", "description_html": "Dividing a Decimal by a Power of 10", "title": "Dividing a decimal by a power of 10", "progress_key": "v153770148", "edit_slug": "edit/v/153770148", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing a Decimal by a Power of 10", "extra_properties": null, "node_slug": "v/dividing-a-decimal-by-a-power-of-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.mp4/W_VhVHRal6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.mp4/W_VhVHRal6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.m3u8/W_VhVHRal6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W_VhVHRal6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770148", "sha": "20a81b26c589860e6cd672d9b8dc324e995e92ad", "translated_description": "Dividing a Decimal by a Power of 10", "image_url": "https://img.youtube.com/vi/W_VhVHRal6o/hqdefault.jpg", "youtube_id": "W_VhVHRal6o", "content_kind": "Video", "readable_id": "dividing-a-decimal-by-a-power-of-10"}, {"translated_youtube_id": "HLGCq2h4ihY", "relative_url": "/video/dividing-decimals-2-1", "has_questions": false, "keywords": "U03_L2_T2_we4.1, Dividing, Decimals, 2.1, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimals-2-1", "duration": 111, "translated_title": "Dividing a decimal by a power of 10 (part 2)", "translated_description_html": "", "id": "1816", "description_html": "", "title": "Dividing a decimal by a power of 10 (part 2)", "progress_key": "v1816", "edit_slug": "edit/v/1816", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-decimals-2-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.m3u8/HLGCq2h4ihY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HLGCq2h4ihY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1816", "sha": "0f9631c434dda91531b95903d1890072694cef66", "translated_description": "", "image_url": "https://img.youtube.com/vi/HLGCq2h4ihY/hqdefault.jpg", "youtube_id": "HLGCq2h4ihY", "content_kind": "Video", "readable_id": "dividing-decimals-2-1"}], "twitter_url": "", "translated_description": "This tutorial will be your first exposure to exponents which we will build on in later grades. In particular, we're going to think about what happens when you multiply by 10 multiple times (and think about how the number of zeroes relates to the number of times we multiply by 10). Later on, we'll do the same thing with other numbers.\n\nCommon Core Standard: 5.NBT.A.2\t\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will be your first exposure to exponents which we will build on in later grades. In particular, we're going to think about what happens when you multiply by 10 multiple times (and think about how the number of zeroes relates to the number of times we multiply by 10). Later on, we'll do the same thing with other numbers.\n\nCommon Core Standard: 5.NBT.A.2\t\n", "x_pos": 0.0, "node_slug": "cc-5th-mult-powers-of-10", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa83b1f72", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10", "slug": "cc-5th-mult-powers-of-10", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8a3b07c1474430548f98a24284fa3d1838d0a75a", "standalone_title": "Multiplication by powers of 10", "y_pos": 0.0, "current_revision_key": "8a3b07c1474430548f98a24284fa3d1838d0a75a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-place-value-decimals-top", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd840283", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top", "extended_slug": "math/cc-fifth-grade-math/cc-5th-place-value-decimals-top", "slug": "cc-5th-place-value-decimals-top", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca4689dcc905a9dfff1a093df94820b3b67a070c", "standalone_title": "Place value and decimals", "y_pos": 0.0, "current_revision_key": "ca4689dcc905a9dfff1a093df94820b3b67a070c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations", "translated_standalone_title": "Arithmetic operations", "translated_title": "Arithmetic operations", "gplus_url": "", "id": "x59c3b242", "old_key_name": null, "hide": false, "title": "Arithmetic operations", "child_data": [{"kind": "Topic", "id": "xc1c09c3c"}, {"kind": "Topic", "id": "x47e5ee9a"}, {"kind": "Topic", "id": "xf644ee24"}, {"kind": "Topic", "id": "xadc3c612"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-add-sub-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-add-sub-decimals", "translated_standalone_title": "Adding and subtracting decimals", "translated_title": "Adding and subtracting decimals", "gplus_url": "", "id": "xc1c09c3c", "old_key_name": null, "hide": false, "title": "Adding and subtracting decimals", "child_data": [{"kind": "Video", "id": "xdd0d7ae2"}, {"kind": "Video", "id": "xbcb2a374"}, {"kind": "Video", "id": 4802227}, {"kind": "Exercise", "id": 461013412}, {"kind": "Exercise", "id": 2009}, {"kind": "Exercise", "id": 720725814}, {"kind": "Video", "id": 4802228}, {"kind": "Exercise", "id": 461015185}, {"kind": "Exercise", "id": 2031}, {"kind": "Video", "id": "x7b5b2142"}, {"kind": "Video", "id": 1811}, {"kind": "Exercise", "id": 415951528}], "children": [{"translated_youtube_id": "oLh_sIESQnY", "relative_url": "/video/adding-decimals-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-1", "duration": 160, "translated_title": "Adding decimals example 1", "translated_description_html": "", "id": "xdd0d7ae2", "description_html": "", "title": "Adding decimals example 1", "progress_key": "vxdd0d7ae2", "edit_slug": "edit/v/xdd0d7ae2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.m3u8/oLh_sIESQnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oLh_sIESQnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdd0d7ae2", "sha": "a007af9d8ee1c1cb285de2cf9b8cbdeafc42f5cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/oLh_sIESQnY/hqdefault.jpg", "youtube_id": "oLh_sIESQnY", "content_kind": "Video", "readable_id": "adding-decimals-example-1"}, {"translated_youtube_id": "ErHFQUhZ94I", "relative_url": "/video/adding-decimals-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-2", "duration": 106, "translated_title": "Adding decimals example 2", "translated_description_html": "", "id": "xbcb2a374", "description_html": "", "title": "Adding decimals example 2", "progress_key": "vxbcb2a374", "edit_slug": "edit/v/xbcb2a374", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.m3u8/ErHFQUhZ94I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ErHFQUhZ94I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbcb2a374", "sha": "f283a11471afa08f1ad0e53bdfb82f1a01f7514c", "translated_description": "", "image_url": "https://img.youtube.com/vi/ErHFQUhZ94I/hqdefault.jpg", "youtube_id": "ErHFQUhZ94I", "content_kind": "Video", "readable_id": "adding-decimals-example-2"}, {"translated_youtube_id": "w616LEmrHVE", "relative_url": "/video/adding-decimals", "has_questions": false, "keywords": "U03_L2_T1_we1, Adding, Decimals", "ka_url": "http://www.khanacademy.org/video/adding-decimals", "duration": 165, "translated_title": "Adding decimals example 3", "translated_description_html": "Adding Decimals", "id": "4802227", "description_html": "Adding Decimals", "title": "Adding decimals example 3", "progress_key": "v4802227", "edit_slug": "edit/v/4802227", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Adding Decimals", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.m3u8/w616LEmrHVE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w616LEmrHVE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802227", "sha": "6b165ad8a825b168ab9a8185dd3168c6efaad9e6", "translated_description": "Adding Decimals", "image_url": "https://img.youtube.com/vi/w616LEmrHVE/hqdefault.jpg", "youtube_id": "w616LEmrHVE", "content_kind": "Video", "readable_id": "adding-decimals"}, {"translated_youtube_id": "Eq4mVCd-yyo", "relative_url": "/video/subtracting-decimals", "has_questions": false, "keywords": "U03_L2_T1_we2, Subtracting, Decimals", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals", "duration": 128, "translated_title": "Subtracting decimals", "translated_description_html": "Subtracting Decimals", "id": "4802228", "description_html": "Subtracting Decimals", "title": "Subtracting decimals", "progress_key": "v4802228", "edit_slug": "edit/v/4802228", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Subtracting Decimals", "extra_properties": null, "node_slug": "v/subtracting-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.m3u8/Eq4mVCd-yyo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Eq4mVCd-yyo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802228", "sha": "b4af13f046640b1231c96df2c05c32b574db6576", "translated_description": "Subtracting Decimals", "image_url": "https://img.youtube.com/vi/Eq4mVCd-yyo/hqdefault.jpg", "youtube_id": "Eq4mVCd-yyo", "content_kind": "Video", "readable_id": "subtracting-decimals"}, {"translated_youtube_id": "c4fUaD4g4mc", "relative_url": "/video/adding-decimals-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-word-problem", "duration": 93, "translated_title": "Adding decimals word problem", "translated_description_html": "", "id": "x7b5b2142", "description_html": "", "title": "Adding decimals word problem", "progress_key": "vx7b5b2142", "edit_slug": "edit/v/x7b5b2142", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-word-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.mp4/c4fUaD4g4mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.mp4/c4fUaD4g4mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.m3u8/c4fUaD4g4mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c4fUaD4g4mc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b5b2142", "sha": "e0bcd493a543d0d33ff87ca3e436a726accaf926", "translated_description": "", "image_url": "https://img.youtube.com/vi/c4fUaD4g4mc/hqdefault.jpg", "youtube_id": "c4fUaD4g4mc", "content_kind": "Video", "readable_id": "adding-decimals-word-problem"}, {"translated_youtube_id": "hy_bDS3aHO4", "relative_url": "/video/subtracting-decimals-word-problem", "has_questions": false, "keywords": "U03_L2_T1_we3, Subtracting, Decimals, Word, Problem, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals-word-problem", "duration": 139, "translated_title": "Subtracting decimals word problem", "translated_description_html": "Subtracting Decimals Word Problem", "id": "1811", "description_html": "Subtracting Decimals Word Problem", "title": "Subtracting decimals word problem", "progress_key": "v1811", "edit_slug": "edit/v/1811", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Subtracting Decimals Word Problem", "extra_properties": null, "node_slug": "v/subtracting-decimals-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.mp4/hy_bDS3aHO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.mp4/hy_bDS3aHO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.m3u8/hy_bDS3aHO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hy_bDS3aHO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1811", "sha": "5fac39d9da3c0e0a12029d394ad1f680e087a715", "translated_description": "Subtracting Decimals Word Problem", "image_url": "https://img.youtube.com/vi/hy_bDS3aHO4/hqdefault.jpg", "youtube_id": "hy_bDS3aHO4", "content_kind": "Video", "readable_id": "subtracting-decimals-word-problem"}], "twitter_url": "", "translated_description": "You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!\n\nCommon Core Standard: 5.NBT.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!\n\nCommon Core Standard: 5.NBT.B.7", "x_pos": 0.0, "node_slug": "cc-5th-add-sub-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1c09c3c", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-add-sub-decimals", "extended_slug": "math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-add-sub-decimals", "slug": "cc-5th-add-sub-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7fd677b048959848a1dd39ab2479fa8f422ac71e", "standalone_title": "Adding and subtracting decimals", "y_pos": 0.0, "current_revision_key": "7fd677b048959848a1dd39ab2479fa8f422ac71e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-multiplication", "translated_standalone_title": "Multiplication", "translated_title": "Multiplication", "gplus_url": "", "id": "x47e5ee9a", "old_key_name": null, "hide": false, "title": "Multiplication", "child_data": [{"kind": "Video", "id": 23834}, {"kind": "Exercise", "id": 2006}, {"kind": "Video", "id": 1812}, {"kind": "Video", "id": 1817}, {"kind": "Video", "id": 23838}, {"kind": "Exercise", "id": 2010}], "children": [{"translated_youtube_id": "-h3Oqhl8fPg", "relative_url": "/video/multiplication-6--multiple-digit-numbers", "has_questions": false, "keywords": "multiplication", "ka_url": "http://www.khanacademy.org/video/multiplication-6--multiple-digit-numbers", "duration": 627, "translated_title": "Multiple digit numbers", "translated_description_html": "Working our way up to multiplying multiple-digit numbers with each other", "id": "23834", "description_html": "Working our way up to multiplying multiple-digit numbers with each other", "title": "Multiple digit numbers", "progress_key": "v23834", "edit_slug": "edit/v/23834", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working our way up to multiplying multiple-digit numbers with each other", "extra_properties": null, "node_slug": "v/multiplication-6--multiple-digit-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.mp4/-h3Oqhl8fPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.mp4/-h3Oqhl8fPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.m3u8/-h3Oqhl8fPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-h3Oqhl8fPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23834", "sha": "e6cc27ea826e92ca833456f969b5b6d4c3ee110c", "translated_description": "Working our way up to multiplying multiple-digit numbers with each other", "image_url": "https://img.youtube.com/vi/-h3Oqhl8fPg/hqdefault.jpg", "youtube_id": "-h3Oqhl8fPg", "content_kind": "Video", "readable_id": "multiplication-6--multiple-digit-numbers"}, {"translated_youtube_id": "JEHejQphIYc", "relative_url": "/video/multiplying-decimals", "has_questions": false, "keywords": "U03_L2_T2_we1, Multiplying, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplying-decimals", "duration": 172, "translated_title": "Multiplying decimals", "translated_description_html": "Multiplying Decimals", "id": "1812", "description_html": "Multiplying Decimals", "title": "Multiplying decimals", "progress_key": "v1812", "edit_slug": "edit/v/1812", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals", "extra_properties": null, "node_slug": "v/multiplying-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.m3u8/JEHejQphIYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JEHejQphIYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1812", "sha": "1c25c3d826649e85b21ee1dab7e3cb64f7f6a1b7", "translated_description": "Multiplying Decimals", "image_url": "https://img.youtube.com/vi/JEHejQphIYc/hqdefault.jpg", "youtube_id": "JEHejQphIYc", "content_kind": "Video", "readable_id": "multiplying-decimals"}, {"translated_youtube_id": "W7dImsrVa0Y", "relative_url": "/video/mulitplyling-decimals-3", "has_questions": false, "keywords": "U03_L2_T2_we5, Mulitplyling, Decimals, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplyling-decimals-3", "duration": 152, "translated_title": "Multiplying decimals example 2", "translated_description_html": "Multiplying Decimals 3", "id": "1817", "description_html": "Multiplying Decimals 3", "title": "Multiplying decimals example 2", "progress_key": "v1817", "edit_slug": "edit/v/1817", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals 3", "extra_properties": null, "node_slug": "v/mulitplyling-decimals-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.m3u8/W7dImsrVa0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7dImsrVa0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1817", "sha": "aa22a966e604ace5beb9d1920ac11cb9eacf587e", "translated_description": "Multiplying Decimals 3", "image_url": "https://img.youtube.com/vi/W7dImsrVa0Y/hqdefault.jpg", "youtube_id": "W7dImsrVa0Y", "content_kind": "Video", "readable_id": "mulitplyling-decimals-3"}, {"translated_youtube_id": "m5z6pOsxF_8", "relative_url": "/video/mulitplication-8--multiplying-decimals--old-video", "has_questions": false, "keywords": "Multiplication, decimals, khan, academy, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplication-8--multiplying-decimals--old-video", "duration": 584, "translated_title": "Multiple examples multiplying decimals", "translated_description_html": "Multiplying decimals (www.khanacademy.org)", "id": "23838", "description_html": "Multiplying decimals (www.khanacademy.org)", "title": "Multiple examples multiplying decimals", "progress_key": "v23838", "edit_slug": "edit/v/23838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying decimals (www.khanacademy.org)", "extra_properties": null, "node_slug": "v/mulitplication-8--multiplying-decimals--old-video", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.m3u8/m5z6pOsxF_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5z6pOsxF_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23838", "sha": "72c7310312506ecdf81d650c246da38439006883", "translated_description": "Multiplying decimals (www.khanacademy.org)", "image_url": "https://img.youtube.com/vi/m5z6pOsxF_8/hqdefault.jpg", "youtube_id": "m5z6pOsxF_8", "content_kind": "Video", "readable_id": "mulitplication-8--multiplying-decimals--old-video"}], "twitter_url": "", "translated_description": "The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).\n\nCommon Core Standards: 5.NBT.B.5, 5.NBT.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).\n\nCommon Core Standards: 5.NBT.B.5, 5.NBT.B.7", "x_pos": 0.0, "node_slug": "cc-5th-multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax47e5ee9a", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-multiplication", "extended_slug": "math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-multiplication", "slug": "cc-5th-multiplication", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0d55cd24394fad67cbea3523d6810d874efc80d9", "standalone_title": "Multiplication", "y_pos": 0.0, "current_revision_key": "0d55cd24394fad67cbea3523d6810d874efc80d9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division", "translated_standalone_title": "Division", "translated_title": "Division", "gplus_url": "", "id": "xf644ee24", "old_key_name": null, "hide": false, "title": "Division", "child_data": [{"kind": "Video", "id": "xa5043558"}, {"kind": "Video", "id": "x0cf3f261"}, {"kind": "Exercise", "id": 3009}, {"kind": "Video", "id": "x1fb5787f"}, {"kind": "Exercise", "id": 2008}], "children": [{"translated_youtube_id": "uCBm8iDyg1s", "relative_url": "/video/dividing-2-digits-no-remainder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-2-digits-no-remainder", "duration": 309, "translated_title": "Dividing by two digits with no remainder", "translated_description_html": "", "id": "xa5043558", "description_html": "", "title": "Dividing by two digits with no remainder", "progress_key": "vxa5043558", "edit_slug": "edit/v/xa5043558", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dividing-2-digits-no-remainder", "deleted": false, "backup_timestamp": "2013-11-22T19:04:03Z", "date_added": "2013-11-22T19:04:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uCBm8iDyg1s.mp4/uCBm8iDyg1s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uCBm8iDyg1s.mp4/uCBm8iDyg1s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uCBm8iDyg1s.m3u8/uCBm8iDyg1s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uCBm8iDyg1s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5043558", "sha": "155ec90100608052a29a763bab0342b2d320e494", "translated_description": "", "image_url": "https://img.youtube.com/vi/uCBm8iDyg1s/hqdefault.jpg", "youtube_id": "uCBm8iDyg1s", "content_kind": "Video", "readable_id": "dividing-2-digits-no-remainder"}, {"translated_youtube_id": "xXIG8ouHcsc", "relative_url": "/video/dividing-by-a-two-digit-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-by-a-two-digit-number", "duration": 169, "translated_title": "Dividing by a two digit number", "translated_description_html": "", "id": "x0cf3f261", "description_html": "", "title": "Dividing by a two digit number", "progress_key": "vx0cf3f261", "edit_slug": "edit/v/x0cf3f261", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-by-a-two-digit-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-18T00:54:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.m3u8/xXIG8ouHcsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xXIG8ouHcsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0cf3f261", "sha": "94ac6f19869edba74810694aa18b1921dfd58d04", "translated_description": "", "image_url": "https://img.youtube.com/vi/xXIG8ouHcsc/hqdefault.jpg", "youtube_id": "xXIG8ouHcsc", "content_kind": "Video", "readable_id": "dividing-by-a-two-digit-number"}, {"translated_youtube_id": "PftslRgIAbI", "relative_url": "/video/divisions-2-digits-remainder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divisions-2-digits-remainder", "duration": 332, "translated_title": "Dividing by two digits with remainder", "translated_description_html": "", "id": "x1fb5787f", "description_html": "", "title": "Dividing by two digits with remainder", "progress_key": "vx1fb5787f", "edit_slug": "edit/v/x1fb5787f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/divisions-2-digits-remainder", "deleted": false, "backup_timestamp": "2013-11-22T19:04:03Z", "date_added": "2013-11-22T19:04:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PftslRgIAbI.mp4/PftslRgIAbI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PftslRgIAbI.mp4/PftslRgIAbI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PftslRgIAbI.m3u8/PftslRgIAbI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PftslRgIAbI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1fb5787f", "sha": "df5eec6090112f73df106393e01ab1e043a744cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/PftslRgIAbI/hqdefault.jpg", "youtube_id": "PftslRgIAbI", "content_kind": "Video", "readable_id": "divisions-2-digits-remainder"}], "twitter_url": "", "translated_description": "Let's learn to divide any whole number by any other!\n\n\nCommon Core Standard: 5.NBT.B.6\t\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's learn to divide any whole number by any other!\n\n\nCommon Core Standard: 5.NBT.B.6\t\n", "x_pos": 0.0, "node_slug": "cc-5th-division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf644ee24", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division", "extended_slug": "math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division", "slug": "cc-5th-division", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4335e58379db77a8ab84f4f49643dc013106e193", "standalone_title": "Division", "y_pos": 0.0, "current_revision_key": "4335e58379db77a8ab84f4f49643dc013106e193", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals", "translated_standalone_title": "Dividing decimals", "translated_title": "Dividing decimals", "gplus_url": "", "id": "xadc3c612", "old_key_name": null, "hide": false, "title": "Dividing decimals", "child_data": [{"kind": "Video", "id": "xb4d79b88"}, {"kind": "Video", "id": "x0bd7d07d"}, {"kind": "Exercise", "id": 642900605}, {"kind": "Video", "id": "xbe7ce751"}, {"kind": "Exercise", "id": 292987819}, {"kind": "Video", "id": "x7b24a2d9"}, {"kind": "Exercise", "id": 293008404}, {"kind": "Video", "id": 1814}, {"kind": "Video", "id": 23856}, {"kind": "Exercise", "id": 3025}], "children": [{"translated_youtube_id": "xUDlKV8lJbM", "relative_url": "/video/dividing-completely-to-get-decimal-answer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-completely-to-get-decimal-answer", "duration": 157, "translated_title": "Dividing completely to get decimal answer", "translated_description_html": "", "id": "xb4d79b88", "description_html": "", "title": "Dividing completely to get decimal answer", "progress_key": "vxb4d79b88", "edit_slug": "edit/v/xb4d79b88", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-completely-to-get-decimal-answer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.m3u8/xUDlKV8lJbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xUDlKV8lJbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb4d79b88", "sha": "2069477019d72ab58d183a485bc09b4477c04f0d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xUDlKV8lJbM/hqdefault.jpg", "youtube_id": "xUDlKV8lJbM", "content_kind": "Video", "readable_id": "dividing-completely-to-get-decimal-answer"}, {"translated_youtube_id": "7ZwSd9gtnwI", "relative_url": "/video/dividing-completely-to-get-decimal-answer-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-completely-to-get-decimal-answer-example-2", "duration": 143, "translated_title": "Dividing completely to get decimal answer example 2", "translated_description_html": "", "id": "x0bd7d07d", "description_html": "", "title": "Dividing completely to get decimal answer example 2", "progress_key": "vx0bd7d07d", "edit_slug": "edit/v/x0bd7d07d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-completely-to-get-decimal-answer-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.mp4/7ZwSd9gtnwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.mp4/7ZwSd9gtnwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.m3u8/7ZwSd9gtnwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7ZwSd9gtnwI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0bd7d07d", "sha": "c5c7a3f298474b3c6a3d5ac85bac06745017762b", "translated_description": "", "image_url": "https://img.youtube.com/vi/7ZwSd9gtnwI/hqdefault.jpg", "youtube_id": "7ZwSd9gtnwI", "content_kind": "Video", "readable_id": "dividing-completely-to-get-decimal-answer-example-2"}, {"translated_youtube_id": "Z_NHrwK6ALE", "relative_url": "/video/dividing-a-decimal-by-a-whole-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-decimal-by-a-whole-number", "duration": 126, "translated_title": "Dividing a decimal by a whole number", "translated_description_html": "", "id": "xbe7ce751", "description_html": "", "title": "Dividing a decimal by a whole number", "progress_key": "vxbe7ce751", "edit_slug": "edit/v/xbe7ce751", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-a-decimal-by-a-whole-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T00:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.mp4/Z_NHrwK6ALE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.mp4/Z_NHrwK6ALE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.m3u8/Z_NHrwK6ALE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z_NHrwK6ALE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe7ce751", "sha": "be4cdea663b067fe5de7e8a271e102e78d918cdb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z_NHrwK6ALE/hqdefault.jpg", "youtube_id": "Z_NHrwK6ALE", "content_kind": "Video", "readable_id": "dividing-a-decimal-by-a-whole-number"}, {"translated_youtube_id": "cfr-yZxTH8Y", "relative_url": "/video/dividing-a-whole-number-by-a-decimal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-whole-number-by-a-decimal", "duration": 260, "translated_title": "Dividing a whole number by a decimal", "translated_description_html": "", "id": "x7b24a2d9", "description_html": "", "title": "Dividing a whole number by a decimal", "progress_key": "vx7b24a2d9", "edit_slug": "edit/v/x7b24a2d9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-a-whole-number-by-a-decimal", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-14T00:26:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.mp4/cfr-yZxTH8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.mp4/cfr-yZxTH8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.m3u8/cfr-yZxTH8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cfr-yZxTH8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b24a2d9", "sha": "db8691ebb5d4dd5c3434c6c9801aa18ac98283e0", "translated_description": "", "image_url": "https://img.youtube.com/vi/cfr-yZxTH8Y/hqdefault.jpg", "youtube_id": "cfr-yZxTH8Y", "content_kind": "Video", "readable_id": "dividing-a-whole-number-by-a-decimal"}, {"translated_youtube_id": "Nqts8zW8RxM", "relative_url": "/video/dividing-decimals", "has_questions": false, "keywords": "U03_L2_T2_we3, Dividing, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimals", "duration": 332, "translated_title": "Dividing decimals", "translated_description_html": "Dividing Decimals", "id": "1814", "description_html": "Dividing Decimals", "title": "Dividing decimals", "progress_key": "v1814", "edit_slug": "edit/v/1814", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing Decimals", "extra_properties": null, "node_slug": "v/dividing-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.m3u8/Nqts8zW8RxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nqts8zW8RxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1814", "sha": "0b0b90e241ec7745361449dcecd423c144ad06bf", "translated_description": "Dividing Decimals", "image_url": "https://img.youtube.com/vi/Nqts8zW8RxM/hqdefault.jpg", "youtube_id": "Nqts8zW8RxM", "content_kind": "Video", "readable_id": "dividing-decimals"}, {"translated_youtube_id": "S0uuK7SQcA8", "relative_url": "/video/dividing-decimal", "has_questions": false, "keywords": "Division, decimals, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimal", "duration": 569, "translated_title": "Dividing decimal", "translated_description_html": "Dividing decimal numbers", "id": "23856", "description_html": "Dividing decimal numbers", "title": "Dividing decimal", "progress_key": "v23856", "edit_slug": "edit/v/23856", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing decimal numbers", "extra_properties": null, "node_slug": "v/dividing-decimal", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.m3u8/S0uuK7SQcA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S0uuK7SQcA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23856", "sha": "3ac7b39121ae8c8a08ecd285d5dacd641e8f4a69", "translated_description": "Dividing decimal numbers", "image_url": "https://img.youtube.com/vi/S0uuK7SQcA8/hqdefault.jpg", "youtube_id": "S0uuK7SQcA8", "content_kind": "Video", "readable_id": "dividing-decimal"}], "twitter_url": "", "translated_description": "In this tutorial, we'll extend our division skills to include decimals!\n\nCommon Core Standard 5.NBT.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll extend our division skills to include decimals!\n\nCommon Core Standard 5.NBT.B.7", "x_pos": 0.0, "node_slug": "cc-5th-dividing-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axadc3c612", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals", "extended_slug": "math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals", "slug": "cc-5th-dividing-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ff996548cf3b3e5227f2752548b6920655a5ae45", "standalone_title": "Dividing decimals", "y_pos": 0.0, "current_revision_key": "ff996548cf3b3e5227f2752548b6920655a5ae45", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-arith-operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax59c3b242", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-arith-operations", "extended_slug": "math/cc-fifth-grade-math/cc-5th-arith-operations", "slug": "cc-5th-arith-operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c838a519029cc6cf7e4aaca39fae7d88291b36ab", "standalone_title": "Arithmetic operations", "y_pos": 0.0, "current_revision_key": "c838a519029cc6cf7e4aaca39fae7d88291b36ab", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic", "translated_standalone_title": "Fractions", "translated_title": "Fractions", "gplus_url": "", "id": "x91cad26e", "old_key_name": null, "hide": false, "title": "Fractions", "child_data": [{"kind": "Topic", "id": "x5f6abeb2"}, {"kind": "Topic", "id": "xa856ecbb"}, {"kind": "Topic", "id": "x4599a751"}, {"kind": "Topic", "id": "xd9977479"}, {"kind": "Topic", "id": "x66e9982a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-add-sub-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-add-sub-fractions", "translated_standalone_title": "Adding and subtracting fractions", "translated_title": "Adding and subtracting fractions", "gplus_url": "", "id": "x5f6abeb2", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions", "child_data": [{"kind": "Video", "id": 2600769}, {"kind": "Video", "id": 883409220}, {"kind": "Exercise", "id": 201422224}, {"kind": "Video", "id": "x1162a780"}, {"kind": "Exercise", "id": 231832521}], "children": [{"translated_youtube_id": "OVMceVL_CEQ", "relative_url": "/video/adding-fractions-with-unlike-denominators", "has_questions": false, "keywords": "U02_L3_T1_we2, Adding, Fractions, with, Unlike, Denominators, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-unlike-denominators", "duration": 246, "translated_title": "Adding fractions with unlike denominators", "translated_description_html": "Adding Fractions with Unlike Denominators", "id": "2600769", "description_html": "Adding Fractions with Unlike Denominators", "title": "Adding fractions with unlike denominators", "progress_key": "v2600769", "edit_slug": "edit/v/2600769", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Fractions with Unlike Denominators", "extra_properties": null, "node_slug": "v/adding-fractions-with-unlike-denominators", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.mp4/OVMceVL_CEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.mp4/OVMceVL_CEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.m3u8/OVMceVL_CEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OVMceVL_CEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600769", "sha": "b69153853c0b464d83aa0f4670505552c89f1ac9", "translated_description": "Adding Fractions with Unlike Denominators", "image_url": "https://img.youtube.com/vi/OVMceVL_CEQ/hqdefault.jpg", "youtube_id": "OVMceVL_CEQ", "content_kind": "Video", "readable_id": "adding-fractions-with-unlike-denominators"}, {"translated_youtube_id": "TuId1spuyoc", "relative_url": "/video/adding-fractions--ex-1", "has_questions": false, "keywords": "Adding, fractions, ex, 1", "ka_url": "http://www.khanacademy.org/video/adding-fractions--ex-1", "duration": 153, "translated_title": "Adding fractions (ex 1)", "translated_description_html": "Adding fractions (ex 1)", "id": "883409220", "description_html": "Adding fractions (ex 1)", "title": "Adding fractions (ex 1)", "progress_key": "v883409220", "edit_slug": "edit/v/883409220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Adding fractions (ex 1)", "extra_properties": null, "node_slug": "v/adding-fractions--ex-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-02T20:54:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.mp4/TuId1spuyoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.mp4/TuId1spuyoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.m3u8/TuId1spuyoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TuId1spuyoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v883409220", "sha": "edaea89293b7916017710221ca45fe00a24e96df", "translated_description": "Adding fractions (ex 1)", "image_url": "https://img.youtube.com/vi/TuId1spuyoc/hqdefault.jpg", "youtube_id": "TuId1spuyoc", "content_kind": "Video", "readable_id": "adding-fractions--ex-1"}, {"translated_youtube_id": "N21Wh4Jqftc", "relative_url": "/video/subtracting-fractions-with-unlike-denominators", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-with-unlike-denominators", "duration": 264, "translated_title": "Subtracting fractions with unlike denominators", "translated_description_html": "", "id": "x1162a780", "description_html": "", "title": "Subtracting fractions with unlike denominators", "progress_key": "vx1162a780", "edit_slug": "edit/v/x1162a780", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/subtracting-fractions-with-unlike-denominators", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-23T22:47:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.mp4/N21Wh4Jqftc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.mp4/N21Wh4Jqftc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.m3u8/N21Wh4Jqftc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N21Wh4Jqftc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1162a780", "sha": "75e35e153f9f0e3f85cbd052d1d6b05d2a488a79", "translated_description": "", "image_url": "https://img.youtube.com/vi/N21Wh4Jqftc/hqdefault.jpg", "youtube_id": "N21Wh4Jqftc", "content_kind": "Video", "readable_id": "subtracting-fractions-with-unlike-denominators"}], "twitter_url": "", "translated_description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet fudge cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions with unlike denominators is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standard: 5.NF.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet fudge cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions with unlike denominators is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standard: 5.NF.A.1", "x_pos": 0.0, "node_slug": "cc-5th-add-sub-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5f6abeb2", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-add-sub-fractions", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-add-sub-fractions", "slug": "cc-5th-add-sub-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b65d801f7288930de09fac18915ca1d0c61e564e", "standalone_title": "Adding and subtracting fractions", "y_pos": 0.0, "current_revision_key": "b65d801f7288930de09fac18915ca1d0c61e564e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-addsub-frac-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-addsub-frac-word-problems", "translated_standalone_title": "Adding and subtracting fractions word problems", "translated_title": "Adding and subtracting fractions word problems", "gplus_url": "", "id": "xa856ecbb", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions word problems", "child_data": [{"kind": "Video", "id": "x1a5c8db9"}, {"kind": "Video", "id": "x39fd4ded"}, {"kind": "Exercise", "id": "xdf3b07bd"}], "children": [{"translated_youtube_id": "PKh5B9xyzSc", "relative_url": "/video/adding-fractions-with-unlike-denominators-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-unlike-denominators-word-problem", "duration": 347, "translated_title": "Adding fractions with unlike denominators word problem", "translated_description_html": "", "id": "x1a5c8db9", "description_html": "", "title": "Adding fractions with unlike denominators word problem", "progress_key": "vx1a5c8db9", "edit_slug": "edit/v/x1a5c8db9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-fractions-with-unlike-denominators-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T16:41:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.mp4/PKh5B9xyzSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.mp4/PKh5B9xyzSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.m3u8/PKh5B9xyzSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PKh5B9xyzSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a5c8db9", "sha": "59de1e972d3b16128685665240a9468ef0596d52", "translated_description": "", "image_url": "https://img.youtube.com/vi/PKh5B9xyzSc/hqdefault.jpg", "youtube_id": "PKh5B9xyzSc", "content_kind": "Video", "readable_id": "adding-fractions-with-unlike-denominators-word-problem"}, {"translated_youtube_id": "5fK8HEYNRuQ", "relative_url": "/video/subtracting-fractions-with-unlike-denominators-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-with-unlike-denominators-word-problem", "duration": 199, "translated_title": "Subtracting fractions with unlike denominators word problem", "translated_description_html": "", "id": "x39fd4ded", "description_html": "", "title": "Subtracting fractions with unlike denominators word problem", "progress_key": "vx39fd4ded", "edit_slug": "edit/v/x39fd4ded", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/subtracting-fractions-with-unlike-denominators-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T16:41:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.mp4/5fK8HEYNRuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.mp4/5fK8HEYNRuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.m3u8/5fK8HEYNRuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fK8HEYNRuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39fd4ded", "sha": "c220082092f7b4f6419bd405c5fc83a914264786", "translated_description": "", "image_url": "https://img.youtube.com/vi/5fK8HEYNRuQ/hqdefault.jpg", "youtube_id": "5fK8HEYNRuQ", "content_kind": "Video", "readable_id": "subtracting-fractions-with-unlike-denominators-word-problem"}], "twitter_url": "", "translated_description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!\n\nCommon Core Standard: 5.NF.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!\n\nCommon Core Standard: 5.NF.A.2", "x_pos": 0.0, "node_slug": "cc-5th-addsub-frac-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa856ecbb", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-addsub-frac-word-problems", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-addsub-frac-word-problems", "slug": "cc-5th-addsub-frac-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a63498ef09bbe8c2478e8a3618c116f5bd524c69", "standalone_title": "Adding and subtracting fractions word problems", "y_pos": 0.0, "current_revision_key": "a63498ef09bbe8c2478e8a3618c116f5bd524c69", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions", "translated_standalone_title": "Multiplying fractions", "translated_title": "Multiplying fractions", "gplus_url": "", "id": "x4599a751", "old_key_name": null, "hide": false, "title": "Multiplying fractions", "child_data": [{"kind": "Video", "id": "x3769a3bc"}, {"kind": "Exercise", "id": "xdd0887d4"}, {"kind": "Video", "id": "x369b9278"}, {"kind": "Video", "id": 2600759}, {"kind": "Video", "id": "x52cf91fc"}, {"kind": "Video", "id": "xab5f5140"}, {"kind": "Video", "id": "xa40b230b"}, {"kind": "Exercise", "id": "x7d11963d"}, {"kind": "Exercise", "id": 537138489}, {"kind": "Video", "id": "xc436768c"}, {"kind": "Exercise", "id": "x2a24ba5e"}], "children": [{"translated_youtube_id": "4PlkCiEXBQI", "relative_url": "/video/multiplying-fractions-and-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-and-whole-numbers", "duration": 188, "translated_title": "Multiplying fractions and whole numbers", "translated_description_html": "", "id": "x3769a3bc", "description_html": "", "title": "Multiplying fractions and whole numbers", "progress_key": "vx3769a3bc", "edit_slug": "edit/v/x3769a3bc", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-fractions-and-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-14T14:46:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.m3u8/4PlkCiEXBQI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PlkCiEXBQI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3769a3bc", "sha": "dad37fcf9165ee7fba8dd7b6d7b98a49000339a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/4PlkCiEXBQI/hqdefault.jpg", "youtube_id": "4PlkCiEXBQI", "content_kind": "Video", "readable_id": "multiplying-fractions-and-whole-numbers"}, {"translated_youtube_id": "x6xtezhuCZ4", "relative_url": "/video/multiplying-a-fraction-by-a-fraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-a-fraction-by-a-fraction", "duration": 306, "translated_title": "Multiplying a fraction by a fraction", "translated_description_html": "", "id": "x369b9278", "description_html": "", "title": "Multiplying a fraction by a fraction", "progress_key": "vx369b9278", "edit_slug": "edit/v/x369b9278", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-a-fraction-by-a-fraction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T14:46:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.mp4/x6xtezhuCZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.mp4/x6xtezhuCZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.m3u8/x6xtezhuCZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x6xtezhuCZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx369b9278", "sha": "41c89b40e22014bc47e5eb561b1659a2a3a0f871", "translated_description": "", "image_url": "https://img.youtube.com/vi/x6xtezhuCZ4/hqdefault.jpg", "youtube_id": "x6xtezhuCZ4", "content_kind": "Video", "readable_id": "multiplying-a-fraction-by-a-fraction"}, {"translated_youtube_id": "CTKMK1ZGLuk", "relative_url": "/video/multiplying-fractions", "has_questions": false, "keywords": "U02_L2_T1_we1, Multiplying, Fractions, CC_5_NF_6, CC_7_NS_2, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions", "duration": 146, "translated_title": "Multiplying fractions", "translated_description_html": "Multiplying Fractions", "id": "2600759", "description_html": "Multiplying Fractions", "title": "Multiplying fractions", "progress_key": "v2600759", "edit_slug": "edit/v/2600759", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Fractions", "extra_properties": null, "node_slug": "v/multiplying-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.m3u8/CTKMK1ZGLuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CTKMK1ZGLuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600759", "sha": "afd5217831f2714ac83b37c2c0105b40b1b3770e", "translated_description": "Multiplying Fractions", "image_url": "https://img.youtube.com/vi/CTKMK1ZGLuk/hqdefault.jpg", "youtube_id": "CTKMK1ZGLuk", "content_kind": "Video", "readable_id": "multiplying-fractions"}, {"translated_youtube_id": "hr_mTd-oJ-M", "relative_url": "/video/visualizing-fraction-products", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visualizing-fraction-products", "duration": 297, "translated_title": "Visualizing fraction multiplication", "translated_description_html": "", "id": "x52cf91fc", "description_html": "", "title": "Visualizing fraction multiplication", "progress_key": "vx52cf91fc", "edit_slug": "edit/v/x52cf91fc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/visualizing-fraction-products", "deleted": false, "backup_timestamp": "2013-10-24T20:42:42Z", "date_added": "2013-10-24T20:42:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hr_mTd-oJ-M.mp4/hr_mTd-oJ-M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hr_mTd-oJ-M.mp4/hr_mTd-oJ-M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hr_mTd-oJ-M.m3u8/hr_mTd-oJ-M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hr_mTd-oJ-M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx52cf91fc", "sha": "3f0314523c682c87bc1aa14bd7ebd353e83ea105", "translated_description": "", "image_url": "https://img.youtube.com/vi/hr_mTd-oJ-M/hqdefault.jpg", "youtube_id": "hr_mTd-oJ-M", "content_kind": "Video", "readable_id": "visualizing-fraction-products"}, {"translated_youtube_id": "HiNrFT280_Y", "relative_url": "/video/concept-fraction-whole-number-product", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/concept-fraction-whole-number-product", "duration": 174, "translated_title": "Two ways to conceptualize a product of a fraction and a whole number", "translated_description_html": "", "id": "xab5f5140", "description_html": "", "title": "Two ways to conceptualize a product of a fraction and a whole number", "progress_key": "vxab5f5140", "edit_slug": "edit/v/xab5f5140", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/concept-fraction-whole-number-product", "deleted": false, "backup_timestamp": "2013-10-24T21:27:37Z", "date_added": "2013-10-24T21:27:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HiNrFT280_Y.mp4/HiNrFT280_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HiNrFT280_Y.mp4/HiNrFT280_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HiNrFT280_Y.m3u8/HiNrFT280_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HiNrFT280_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxab5f5140", "sha": "63c453ee3060605c30b20e19dd6f6c9b674c46ec", "translated_description": "", "image_url": "https://img.youtube.com/vi/HiNrFT280_Y/hqdefault.jpg", "youtube_id": "HiNrFT280_Y", "content_kind": "Video", "readable_id": "concept-fraction-whole-number-product"}, {"translated_youtube_id": "lJdb4_Fuxvw", "relative_url": "/video/concept-fraction-mult-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/concept-fraction-mult-number-line", "duration": 286, "translated_title": "Conceptualizing fraction multiplication", "translated_description_html": "", "id": "xa40b230b", "description_html": "", "title": "Conceptualizing fraction multiplication", "progress_key": "vxa40b230b", "edit_slug": "edit/v/xa40b230b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/concept-fraction-mult-number-line", "deleted": false, "backup_timestamp": "2013-10-24T21:27:37Z", "date_added": "2013-10-24T21:27:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lJdb4_Fuxvw.mp4/lJdb4_Fuxvw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lJdb4_Fuxvw.mp4/lJdb4_Fuxvw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lJdb4_Fuxvw.m3u8/lJdb4_Fuxvw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lJdb4_Fuxvw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa40b230b", "sha": "fdb43613983948ec11fc6934bfc2f576830ca754", "translated_description": "", "image_url": "https://img.youtube.com/vi/lJdb4_Fuxvw/hqdefault.jpg", "youtube_id": "lJdb4_Fuxvw", "content_kind": "Video", "readable_id": "concept-fraction-mult-number-line"}, {"translated_youtube_id": "yUYDhmQsiXY", "relative_url": "/video/multiplication-as-scaling", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-as-scaling", "duration": 306, "translated_title": "Multiplication as scaling", "translated_description_html": "", "id": "xc436768c", "description_html": "", "title": "Multiplication as scaling", "progress_key": "vxc436768c", "edit_slug": "edit/v/xc436768c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-as-scaling", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T18:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.mp4/yUYDhmQsiXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.mp4/yUYDhmQsiXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.m3u8/yUYDhmQsiXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUYDhmQsiXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc436768c", "sha": "4e6add5202265f970af4ee18ccb453d2b9006d68", "translated_description": "", "image_url": "https://img.youtube.com/vi/yUYDhmQsiXY/hqdefault.jpg", "youtube_id": "yUYDhmQsiXY", "content_kind": "Video", "readable_id": "multiplication-as-scaling"}], "twitter_url": "", "translated_description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nCommon Core Standards: 5.NF.B.4, 5.NF.B.4a, 5.NF.B.4b, 5.NF.B.5, 5.NF.B.5a, 5.NF.B.5b\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nCommon Core Standards: 5.NF.B.4, 5.NF.B.4a, 5.NF.B.4b, 5.NF.B.5, 5.NF.B.5a, 5.NF.B.5b\t", "x_pos": 0.0, "node_slug": "cc-5th-multiplying-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4599a751", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions", "slug": "cc-5th-multiplying-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "333174091e275e9c23da5932f8f1f1b69345a29d", "standalone_title": "Multiplying fractions", "y_pos": 0.0, "current_revision_key": "333174091e275e9c23da5932f8f1f1b69345a29d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-dividing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-dividing-fractions", "translated_standalone_title": "Dividing fractions", "translated_title": "Dividing fractions", "gplus_url": "", "id": "xd9977479", "old_key_name": null, "hide": false, "title": "Dividing fractions", "child_data": [{"kind": "Video", "id": "xdbd32e53"}, {"kind": "Video", "id": "xf050e223"}, {"kind": "Video", "id": "x28264782"}, {"kind": "Video", "id": "x851dfbb8"}, {"kind": "Exercise", "id": "x7c2f9803"}, {"kind": "Video", "id": "x32074d93"}, {"kind": "Video", "id": "xedf0d036"}, {"kind": "Video", "id": 2600767}, {"kind": "Exercise", "id": 537154517}, {"kind": "Exercise", "id": 3015}, {"kind": "Exercise", "id": "x273a2621"}], "children": [{"translated_youtube_id": "c-_yrA-GUow", "relative_url": "/video/fractions-as-division", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-as-division", "duration": 404, "translated_title": "Understanding fractions as division", "translated_description_html": "", "id": "xdbd32e53", "description_html": "", "title": "Understanding fractions as division", "progress_key": "vxdbd32e53", "edit_slug": "edit/v/xdbd32e53", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fractions-as-division", "deleted": false, "backup_timestamp": "2013-10-24T18:02:55Z", "date_added": "2013-10-24T18:02:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c-_yrA-GUow.mp4/c-_yrA-GUow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c-_yrA-GUow.mp4/c-_yrA-GUow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c-_yrA-GUow.m3u8/c-_yrA-GUow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c-_yrA-GUow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdbd32e53", "sha": "86a9084ead5f96824e241b53d1b78d85e0333ce4", "translated_description": "", "image_url": "https://img.youtube.com/vi/c-_yrA-GUow/hqdefault.jpg", "youtube_id": "c-_yrA-GUow", "content_kind": "Video", "readable_id": "fractions-as-division"}, {"translated_youtube_id": "g8yk6zQDAek", "relative_url": "/video/fractions-division-mixed-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-division-mixed-numbers", "duration": 310, "translated_title": "Using fractions as division to create mixed numbers", "translated_description_html": "", "id": "xf050e223", "description_html": "", "title": "Using fractions as division to create mixed numbers", "progress_key": "vxf050e223", "edit_slug": "edit/v/xf050e223", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fractions-division-mixed-numbers", "deleted": false, "backup_timestamp": "2013-10-24T18:02:54Z", "date_added": "2013-10-24T18:02:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g8yk6zQDAek.mp4/g8yk6zQDAek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g8yk6zQDAek.mp4/g8yk6zQDAek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g8yk6zQDAek.m3u8/g8yk6zQDAek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g8yk6zQDAek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf050e223", "sha": "655c6deb9772afd7645981567d25b889786c09da", "translated_description": "", "image_url": "https://img.youtube.com/vi/g8yk6zQDAek/hqdefault.jpg", "youtube_id": "g8yk6zQDAek", "content_kind": "Video", "readable_id": "fractions-division-mixed-numbers"}, {"translated_youtube_id": "Mcm0Q3wGhMo", "relative_url": "/video/creating-a-fraction-through-division-of-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/creating-a-fraction-through-division-of-whole-numbers", "duration": 165, "translated_title": "Creating a fraction through division of whole numbers", "translated_description_html": "", "id": "x28264782", "description_html": "", "title": "Creating a fraction through division of whole numbers", "progress_key": "vx28264782", "edit_slug": "edit/v/x28264782", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/creating-a-fraction-through-division-of-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T01:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.mp4/Mcm0Q3wGhMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.mp4/Mcm0Q3wGhMo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.m3u8/Mcm0Q3wGhMo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mcm0Q3wGhMo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx28264782", "sha": "c86bc1b941c1da60360d492f5c9809bbf1d080f4", "translated_description": "", "image_url": "https://img.youtube.com/vi/Mcm0Q3wGhMo/hqdefault.jpg", "youtube_id": "Mcm0Q3wGhMo", "content_kind": "Video", "readable_id": "creating-a-fraction-through-division-of-whole-numbers"}, {"translated_youtube_id": "V8C15AfL6Gk", "relative_url": "/video/my-share-of-soap-as-a-mixed-number-on-a-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/my-share-of-soap-as-a-mixed-number-on-a-number-line", "duration": 151, "translated_title": "My share of soap as a mixed number on a number line", "translated_description_html": "", "id": "x851dfbb8", "description_html": "", "title": "My share of soap as a mixed number on a number line", "progress_key": "vx851dfbb8", "edit_slug": "edit/v/x851dfbb8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/my-share-of-soap-as-a-mixed-number-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-09T01:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.mp4/V8C15AfL6Gk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.mp4/V8C15AfL6Gk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.m3u8/V8C15AfL6Gk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V8C15AfL6Gk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx851dfbb8", "sha": "74aebe5d4f4cace55e4b44fc1f0ba0a5e27d448f", "translated_description": "", "image_url": "https://img.youtube.com/vi/V8C15AfL6Gk/hqdefault.jpg", "youtube_id": "V8C15AfL6Gk", "content_kind": "Video", "readable_id": "my-share-of-soap-as-a-mixed-number-on-a-number-line"}, {"translated_youtube_id": "xoXYirs2Mzw", "relative_url": "/video/dividing-a-whole-number-by-a-fraction-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-whole-number-by-a-fraction-word-problem", "duration": 152, "translated_title": "Putting out bowls of potpurri", "translated_description_html": "", "id": "x32074d93", "description_html": "", "title": "Putting out bowls of potpurri", "progress_key": "vx32074d93", "edit_slug": "edit/v/x32074d93", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-whole-number-by-a-fraction-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-09T17:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.m3u8/xoXYirs2Mzw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xoXYirs2Mzw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx32074d93", "sha": "4d14acdcdc9a22fc70469829c3108a1046e55537", "translated_description": "", "image_url": "https://img.youtube.com/vi/xoXYirs2Mzw/hqdefault.jpg", "youtube_id": "xoXYirs2Mzw", "content_kind": "Video", "readable_id": "dividing-a-whole-number-by-a-fraction-word-problem"}, {"translated_youtube_id": "yb7lVnY_VCY", "relative_url": "/video/dividing-a-fraction-by-a-whole-number-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-fraction-by-a-whole-number-word-problem", "duration": 155, "translated_title": "Spending the weekend studying", "translated_description_html": "", "id": "xedf0d036", "description_html": "", "title": "Spending the weekend studying", "progress_key": "vxedf0d036", "edit_slug": "edit/v/xedf0d036", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-fraction-by-a-whole-number-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T17:49:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.m3u8/yb7lVnY_VCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yb7lVnY_VCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedf0d036", "sha": "0d6e129a524eb78cec7cebd1742fdacd41f6d96c", "translated_description": "", "image_url": "https://img.youtube.com/vi/yb7lVnY_VCY/hqdefault.jpg", "youtube_id": "yb7lVnY_VCY", "content_kind": "Video", "readable_id": "dividing-a-fraction-by-a-whole-number-word-problem"}, {"translated_youtube_id": "PQsgXNggV7Q", "relative_url": "/video/dividing-fractions-word-problem", "has_questions": false, "keywords": "U02_L2_T3_we5, Dividing, Fractions, Word, Problem", "ka_url": "http://www.khanacademy.org/video/dividing-fractions-word-problem", "duration": 128, "translated_title": "How many t-shirts can I make?", "translated_description_html": "

Dividing Fractions Word Problem<\/p>\n", "id": "2600767", "description_html": "

Dividing Fractions Word Problem<\/p>\n", "title": "How many t-shirts can I make?", "progress_key": "v2600767", "edit_slug": "edit/v/2600767", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Fractions Word Problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-fractions-word-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.m3u8/PQsgXNggV7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PQsgXNggV7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600767", "sha": "3ea7253be5ddc19f8bc32190ff43209db5ecb767", "translated_description": "Dividing Fractions Word Problem\n", "image_url": "https://img.youtube.com/vi/PQsgXNggV7Q/hqdefault.jpg", "youtube_id": "PQsgXNggV7Q", "content_kind": "Video", "readable_id": "dividing-fractions-word-problem"}], "twitter_url": "", "translated_description": "This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!\n\nCommon Core Standards: 5.NF.B.3, 5.NF.B.7, 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!\n\nCommon Core Standards: 5.NF.B.3, 5.NF.B.7, 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c", "x_pos": 0.0, "node_slug": "cc-5th-dividing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd9977479", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-dividing-fractions", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-dividing-fractions", "slug": "cc-5th-dividing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cf62fb9865330aa91b09d0541ac276a2c19df42f", "standalone_title": "Dividing fractions", "y_pos": 0.0, "current_revision_key": "cf62fb9865330aa91b09d0541ac276a2c19df42f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-frac-word-probs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-frac-word-probs", "translated_standalone_title": "Multiplying fractions word problems", "translated_title": "Multiplying fractions word problems", "gplus_url": "", "id": "x66e9982a", "old_key_name": null, "hide": false, "title": "Multiplying fractions word problems", "child_data": [{"kind": "Video", "id": "x487557ed"}, {"kind": "Video", "id": "x8737839e"}, {"kind": "Video", "id": "x683d1719"}, {"kind": "Exercise", "id": "x8ab11134"}, {"kind": "Video", "id": 2600762}, {"kind": "Video", "id": "xe872bdba"}, {"kind": "Video", "id": "x6ac69445"}, {"kind": "Exercise", "id": "x057eb3ae"}], "children": [{"translated_youtube_id": "Yq9W6B7XnmU", "relative_url": "/video/multiplying-fractions-word-problem-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-2", "duration": 222, "translated_title": "How long will three movies last?", "translated_description_html": "", "id": "x487557ed", "description_html": "", "title": "How long will three movies last?", "progress_key": "vx487557ed", "edit_slug": "edit/v/x487557ed", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.m3u8/Yq9W6B7XnmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yq9W6B7XnmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx487557ed", "sha": "198c5d1c48e44ab67a2cef4b682e25f1a4246aeb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Yq9W6B7XnmU/hqdefault.jpg", "youtube_id": "Yq9W6B7XnmU", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-2"}, {"translated_youtube_id": "GvgJ2_7P9SA", "relative_url": "/video/multiplying-fractions-word-problem-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-3", "duration": 139, "translated_title": "My family loves milk", "translated_description_html": "", "id": "x8737839e", "description_html": "", "title": "My family loves milk", "progress_key": "vx8737839e", "edit_slug": "edit/v/x8737839e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.m3u8/GvgJ2_7P9SA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GvgJ2_7P9SA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8737839e", "sha": "ff48f60c7d18cc06bc7cee02150098c6beba8af9", "translated_description": "", "image_url": "https://img.youtube.com/vi/GvgJ2_7P9SA/hqdefault.jpg", "youtube_id": "GvgJ2_7P9SA", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-3"}, {"translated_youtube_id": "XDjbNykJ28E", "relative_url": "/video/multiplying-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-1", "duration": 276, "translated_title": "We must have eaten more pie!", "translated_description_html": "", "id": "x683d1719", "description_html": "", "title": "We must have eaten more pie!", "progress_key": "vx683d1719", "edit_slug": "edit/v/x683d1719", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.m3u8/XDjbNykJ28E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDjbNykJ28E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx683d1719", "sha": "455c69a639262bbf84aaa9adec55787e1b618a3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/XDjbNykJ28E/hqdefault.jpg", "youtube_id": "XDjbNykJ28E", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-1"}, {"translated_youtube_id": "YJgIGwTysk0", "relative_url": "/video/multiplying-fractions-word-problem", "has_questions": false, "keywords": "U02_L2_T1_we4, Multiplying, Fractions, Word, Problem, CC_5_NF_6", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem", "duration": 219, "translated_title": "Making banana oat muffins...mmm", "translated_description_html": "Multiplying Fractions Word Problem", "id": "2600762", "description_html": "Multiplying Fractions Word Problem", "title": "Making banana oat muffins...mmm", "progress_key": "v2600762", "edit_slug": "edit/v/2600762", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Fractions Word Problem", "extra_properties": null, "node_slug": "v/multiplying-fractions-word-problem", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.m3u8/YJgIGwTysk0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YJgIGwTysk0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600762", "sha": "6235f9e231b55357df33080fa1fa2247ec320f28", "translated_description": "Multiplying Fractions Word Problem", "image_url": "https://img.youtube.com/vi/YJgIGwTysk0/hqdefault.jpg", "youtube_id": "YJgIGwTysk0", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem"}, {"translated_youtube_id": "KCehC_3CBBY", "relative_url": "/video/multiplying-fractions-word-problem-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-4", "duration": 80, "translated_title": "How much laundry detergent left?", "translated_description_html": "", "id": "xe872bdba", "description_html": "", "title": "How much laundry detergent left?", "progress_key": "vxe872bdba", "edit_slug": "edit/v/xe872bdba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.mp4/KCehC_3CBBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.mp4/KCehC_3CBBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.m3u8/KCehC_3CBBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KCehC_3CBBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe872bdba", "sha": "48636a764c6c5d7c357de31ac793de7bde339d22", "translated_description": "", "image_url": "https://img.youtube.com/vi/KCehC_3CBBY/hqdefault.jpg", "youtube_id": "KCehC_3CBBY", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-4"}, {"translated_youtube_id": "tfjQVtOyoaQ", "relative_url": "/video/multiplying-fractions-word-problem-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-5", "duration": 231, "translated_title": "Biking to a friend", "translated_description_html": "", "id": "x6ac69445", "description_html": "", "title": "Biking to a friend", "progress_key": "vx6ac69445", "edit_slug": "edit/v/x6ac69445", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.mp4/tfjQVtOyoaQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.mp4/tfjQVtOyoaQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.m3u8/tfjQVtOyoaQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tfjQVtOyoaQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6ac69445", "sha": "bfea2083794bb15f2078a2bd9507c17fab37db6f", "translated_description": "", "image_url": "https://img.youtube.com/vi/tfjQVtOyoaQ/hqdefault.jpg", "youtube_id": "tfjQVtOyoaQ", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-5"}], "twitter_url": "", "translated_description": "Multiplying fractions is useful. Period. That's all we really have to say. Believe us don't believe us. You'll learn eventually. This tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).\n\nCommon Core Standard: 5.NF.B.6", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Multiplying fractions is useful. Period. That's all we really have to say. Believe us don't believe us. You'll learn eventually. This tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).\n\nCommon Core Standard: 5.NF.B.6", "x_pos": 0.0, "node_slug": "cc-5th-mult-frac-word-probs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax66e9982a", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-frac-word-probs", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-frac-word-probs", "slug": "cc-5th-mult-frac-word-probs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "882d7f2a01467fe57a53c2e5d62ce811ff3d70e7", "standalone_title": "Multiplying fractions word problems", "y_pos": 0.0, "current_revision_key": "882d7f2a01467fe57a53c2e5d62ce811ff3d70e7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-fractions-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax91cad26e", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-fractions-topic", "extended_slug": "math/cc-fifth-grade-math/cc-5th-fractions-topic", "slug": "cc-5th-fractions-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e883d49233e2f10ea170f6e3eff928136102cac6", "standalone_title": "Fractions", "y_pos": 0.0, "current_revision_key": "e883d49233e2f10ea170f6e3eff928136102cac6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic", "translated_standalone_title": "Measurement and data", "translated_title": "Measurement and data", "gplus_url": "", "id": "x0ad7497b", "old_key_name": null, "hide": false, "title": "Measurement and data", "child_data": [{"kind": "Topic", "id": "x9f4c52bf"}, {"kind": "Topic", "id": "x2a32440d"}, {"kind": "Topic", "id": "x97553fa4"}, {"kind": "Topic", "id": "x12ffc509"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume", "translated_standalone_title": "Volume", "translated_title": "Volume", "gplus_url": "", "id": "x9f4c52bf", "old_key_name": null, "hide": false, "title": "Volume", "child_data": [{"kind": "Video", "id": "x153d2046"}, {"kind": "Video", "id": "x10cbe797"}, {"kind": "Exercise", "id": "x47cf8468"}, {"kind": "Video", "id": "xf932dab5"}, {"kind": "Video", "id": "x46bdaeef"}, {"kind": "Exercise", "id": "x42be8afc"}, {"kind": "Video", "id": "x21aac844"}, {"kind": "Exercise", "id": "x5c621858"}], "children": [{"translated_youtube_id": "xMz9WFvox9g", "relative_url": "/video/how-we-measure-volume", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-we-measure-volume", "duration": 471, "translated_title": "How we measure volume", "translated_description_html": "", "id": "x153d2046", "description_html": "", "title": "How we measure volume", "progress_key": "vx153d2046", "edit_slug": "edit/v/x153d2046", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/how-we-measure-volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.mp4/xMz9WFvox9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.mp4/xMz9WFvox9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.m3u8/xMz9WFvox9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xMz9WFvox9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx153d2046", "sha": "3dafcf6e051253e077682e140bd2a40409c1e6cc", "translated_description": "", "image_url": "https://img.youtube.com/vi/xMz9WFvox9g/hqdefault.jpg", "youtube_id": "xMz9WFvox9g", "content_kind": "Video", "readable_id": "how-we-measure-volume"}, {"translated_youtube_id": "7WloKabLhII", "relative_url": "/video/measuring-volume-with-unit-cubes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-volume-with-unit-cubes", "duration": 133, "translated_title": "Measuring volume with unit cubes", "translated_description_html": "", "id": "x10cbe797", "description_html": "", "title": "Measuring volume with unit cubes", "progress_key": "vx10cbe797", "edit_slug": "edit/v/x10cbe797", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-volume-with-unit-cubes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.mp4/7WloKabLhII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.mp4/7WloKabLhII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.m3u8/7WloKabLhII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7WloKabLhII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx10cbe797", "sha": "6bcfd216c1a0637592101ac48f3b8d5ef5eae0bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/7WloKabLhII/hqdefault.jpg", "youtube_id": "7WloKabLhII", "content_kind": "Video", "readable_id": "measuring-volume-with-unit-cubes"}, {"translated_youtube_id": "daCT_24RnIY", "relative_url": "/video/measuring-volume-as-area-times-length", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-volume-as-area-times-length", "duration": 442, "translated_title": "Measuring volume as area times length", "translated_description_html": "", "id": "xf932dab5", "description_html": "", "title": "Measuring volume as area times length", "progress_key": "vxf932dab5", "edit_slug": "edit/v/xf932dab5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-volume-as-area-times-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.mp4/daCT_24RnIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.mp4/daCT_24RnIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.m3u8/daCT_24RnIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=daCT_24RnIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf932dab5", "sha": "d0863c3166ee8d2daf3a45420f24c3498311e031", "translated_description": "", "image_url": "https://img.youtube.com/vi/daCT_24RnIY/hqdefault.jpg", "youtube_id": "daCT_24RnIY", "content_kind": "Video", "readable_id": "measuring-volume-as-area-times-length"}, {"translated_youtube_id": "I9efKVtLCf4", "relative_url": "/video/volume-of-a-rectangular-prism-or-box-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/volume-of-a-rectangular-prism-or-box-examples", "duration": 119, "translated_title": "Volume of a rectangular prism or box examples", "translated_description_html": "", "id": "x46bdaeef", "description_html": "", "title": "Volume of a rectangular prism or box examples", "progress_key": "vx46bdaeef", "edit_slug": "edit/v/x46bdaeef", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/volume-of-a-rectangular-prism-or-box-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.mp4/I9efKVtLCf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.mp4/I9efKVtLCf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.m3u8/I9efKVtLCf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I9efKVtLCf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx46bdaeef", "sha": "b6d844c059ce74639b21f30162fed8cbccab8f56", "translated_description": "", "image_url": "https://img.youtube.com/vi/I9efKVtLCf4/hqdefault.jpg", "youtube_id": "I9efKVtLCf4", "content_kind": "Video", "readable_id": "volume-of-a-rectangular-prism-or-box-examples"}, {"translated_youtube_id": "OanPzjf2EYY", "relative_url": "/video/volume-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/volume-word-problem-example", "duration": 280, "translated_title": "Volume word problem example", "translated_description_html": "", "id": "x21aac844", "description_html": "", "title": "Volume word problem example", "progress_key": "vx21aac844", "edit_slug": "edit/v/x21aac844", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/volume-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.mp4/OanPzjf2EYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.mp4/OanPzjf2EYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.m3u8/OanPzjf2EYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OanPzjf2EYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx21aac844", "sha": "bca0e8ca47db1ae6a5e9e4201adc7f4173a962f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/OanPzjf2EYY/hqdefault.jpg", "youtube_id": "OanPzjf2EYY", "content_kind": "Video", "readable_id": "volume-word-problem-example"}], "twitter_url": "", "translated_description": "Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!\n\nCommon Core Standards: \n\n5.MD.C.3, 5.MD.C.3a, 5.MD.C.3b, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a, 5.MD.C.5b\t, 5.MD.C.5c\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!\n\nCommon Core Standards: \n\n5.MD.C.3, 5.MD.C.3a, 5.MD.C.3b, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a, 5.MD.C.5b\t, 5.MD.C.5c\t", "x_pos": 0.0, "node_slug": "cc-5th-volume", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9f4c52bf", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume", "extended_slug": "math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume", "slug": "cc-5th-volume", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3bb0f9aae44c0c185d6329e6097e685c0bf2a42e", "standalone_title": "Volume", "y_pos": 0.0, "current_revision_key": "3bb0f9aae44c0c185d6329e6097e685c0bf2a42e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion", "translated_standalone_title": "Unit conversion", "translated_title": "Unit conversion", "gplus_url": "", "id": "x2a32440d", "old_key_name": null, "hide": false, "title": "Unit conversion", "child_data": [{"kind": "Video", "id": "x42f6e58c"}, {"kind": "Video", "id": "x9eceeaf0"}, {"kind": "Video", "id": "xc6caed89"}, {"kind": "Video", "id": 26}, {"kind": "Video", "id": 27}, {"kind": "Video", "id": 153770144}, {"kind": "Exercise", "id": "x9b384e01"}], "children": [{"translated_youtube_id": "DLno3b-Xsmo", "relative_url": "/video/minutes-to-hours", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/minutes-to-hours", "duration": 294, "translated_title": "Converting minutes to hours", "translated_description_html": "", "id": "x42f6e58c", "description_html": "", "title": "Converting minutes to hours", "progress_key": "vx42f6e58c", "edit_slug": "edit/v/x42f6e58c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/minutes-to-hours", "deleted": false, "backup_timestamp": "2013-10-23T14:15:03Z", "date_added": "2013-10-23T14:15:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DLno3b-Xsmo.mp4/DLno3b-Xsmo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DLno3b-Xsmo.mp4/DLno3b-Xsmo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DLno3b-Xsmo.m3u8/DLno3b-Xsmo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DLno3b-Xsmo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx42f6e58c", "sha": "5e23893e0001942052f7d34659c5a3eada782f4e", "translated_description": "", "image_url": "https://img.youtube.com/vi/DLno3b-Xsmo/hqdefault.jpg", "youtube_id": "DLno3b-Xsmo", "content_kind": "Video", "readable_id": "minutes-to-hours"}, {"translated_youtube_id": "mI84WDfhuYA", "relative_url": "/video/ordering-metric-distances", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ordering-metric-distances", "duration": 242, "translated_title": "Ordering metric distances", "translated_description_html": "", "id": "x9eceeaf0", "description_html": "", "title": "Ordering metric distances", "progress_key": "vx9eceeaf0", "edit_slug": "edit/v/x9eceeaf0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/ordering-metric-distances", "deleted": false, "backup_timestamp": "2013-10-23T14:15:04Z", "date_added": "2013-10-23T14:15:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mI84WDfhuYA.mp4/mI84WDfhuYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mI84WDfhuYA.mp4/mI84WDfhuYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mI84WDfhuYA.m3u8/mI84WDfhuYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mI84WDfhuYA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9eceeaf0", "sha": "e24c773b750304c02e19445a6e355496fac8b04b", "translated_description": "", "image_url": "https://img.youtube.com/vi/mI84WDfhuYA/hqdefault.jpg", "youtube_id": "mI84WDfhuYA", "content_kind": "Video", "readable_id": "ordering-metric-distances"}, {"translated_youtube_id": "6bQ6HJsAv4A", "relative_url": "/video/cm-to-meters", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cm-to-meters", "duration": 184, "translated_title": "Converting centimeters to meters", "translated_description_html": "", "id": "xc6caed89", "description_html": "", "title": "Converting centimeters to meters", "progress_key": "vxc6caed89", "edit_slug": "edit/v/xc6caed89", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/cm-to-meters", "deleted": false, "backup_timestamp": "2013-10-23T14:15:03Z", "date_added": "2013-10-23T14:15:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6bQ6HJsAv4A.mp4/6bQ6HJsAv4A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6bQ6HJsAv4A.mp4/6bQ6HJsAv4A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6bQ6HJsAv4A.m3u8/6bQ6HJsAv4A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6bQ6HJsAv4A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc6caed89", "sha": "fa7e475d7841e3f361aab31c722a832b26e3e293", "translated_description": "", "image_url": "https://img.youtube.com/vi/6bQ6HJsAv4A/hqdefault.jpg", "youtube_id": "6bQ6HJsAv4A", "content_kind": "Video", "readable_id": "cm-to-meters"}, {"translated_youtube_id": "4uQtJDf7drU", "relative_url": "/video/converting-gallons-to-quarts-pints-and-cups", "has_questions": false, "keywords": "U06_L1_T3_we1, Converting, Gallons, to, quarts, pints, and, cups, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-gallons-to-quarts-pints-and-cups", "duration": 317, "translated_title": "Converting gallons to quarts, pints, and cups", "translated_description_html": "Converting Gallons to quarts pints and cups", "id": "26", "description_html": "Converting Gallons to quarts pints and cups", "title": "Converting gallons to quarts, pints, and cups", "progress_key": "v26", "edit_slug": "edit/v/26", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Gallons to quarts pints and cups", "extra_properties": null, "node_slug": "v/converting-gallons-to-quarts-pints-and-cups", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.m3u8/4uQtJDf7drU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4uQtJDf7drU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26", "sha": "ea0b4e8e51fd7b7b4cda4632d017e32bee5c3b73", "translated_description": "Converting Gallons to quarts pints and cups", "image_url": "https://img.youtube.com/vi/4uQtJDf7drU/hqdefault.jpg", "youtube_id": "4uQtJDf7drU", "content_kind": "Video", "readable_id": "converting-gallons-to-quarts-pints-and-cups"}, {"translated_youtube_id": "hShqXKpI6KA", "relative_url": "/video/performing-arithmetic-calculations-on-units-of-volume", "has_questions": false, "keywords": "U06_L1_T3_we2, Performing, arithmetic, calculations, on, units, of, volume, CC_3_MD_2, CC_4_MD_1, CC_4_MD_2, CC_5_MD_1, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_c, CC_6_RP_3_d, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/performing-arithmetic-calculations-on-units-of-volume", "duration": 323, "translated_title": "Performing arithmetic calculations on units of volume", "translated_description_html": "Performing arithmetic calculations on units of volume", "id": "27", "description_html": "Performing arithmetic calculations on units of volume", "title": "Performing arithmetic calculations on units of volume", "progress_key": "v27", "edit_slug": "edit/v/27", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Performing arithmetic calculations on units of volume", "extra_properties": null, "node_slug": "v/performing-arithmetic-calculations-on-units-of-volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.m3u8/hShqXKpI6KA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hShqXKpI6KA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27", "sha": "4f2d7bbd8480f9f67b31aeb0b8715bb86f4f0f20", "translated_description": "Performing arithmetic calculations on units of volume", "image_url": "https://img.youtube.com/vi/hShqXKpI6KA/hqdefault.jpg", "youtube_id": "hShqXKpI6KA", "content_kind": "Video", "readable_id": "performing-arithmetic-calculations-on-units-of-volume"}, {"translated_youtube_id": "jFSenp9ueaI", "relative_url": "/video/unit-conversion-with-fractions", "has_questions": false, "keywords": "u6_l1_t1_we1, Unit, Conversion, with, Fractions", "ka_url": "http://www.khanacademy.org/video/unit-conversion-with-fractions", "duration": 348, "translated_title": "Unit conversion with fractions", "translated_description_html": "Unit Conversion with Fractions", "id": "153770144", "description_html": "Unit Conversion with Fractions", "title": "Unit conversion with fractions", "progress_key": "v153770144", "edit_slug": "edit/v/153770144", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unit Conversion with Fractions", "extra_properties": null, "node_slug": "v/unit-conversion-with-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.m3u8/jFSenp9ueaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFSenp9ueaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770144", "sha": "d5de58cfda5a489ffa725a3a6b48d3fb0642b3ac", "translated_description": "Unit Conversion with Fractions", "image_url": "https://img.youtube.com/vi/jFSenp9ueaI/hqdefault.jpg", "youtube_id": "jFSenp9ueaI", "content_kind": "Video", "readable_id": "unit-conversion-with-fractions"}], "twitter_url": "", "translated_description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? This tutorial is about the fundamental skill of unit conversion. Sal's cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).\n\nCommon Core Standard: 5.MD.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? This tutorial is about the fundamental skill of unit conversion. Sal's cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).\n\nCommon Core Standard: 5.MD.A.1", "x_pos": 0.0, "node_slug": "cc-5th-unit-conversion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2a32440d", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion", "extended_slug": "math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion", "slug": "cc-5th-unit-conversion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "13ae95425428371f50111d8e333c2b536e6426a5", "standalone_title": "Unit conversion", "y_pos": 0.0, "current_revision_key": "13ae95425428371f50111d8e333c2b536e6426a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems", "translated_standalone_title": "Unit word problems", "translated_title": "Unit word problems", "gplus_url": "", "id": "x97553fa4", "old_key_name": null, "hide": false, "title": "Unit word problems", "child_data": [{"kind": "Video", "id": "x0307b297"}, {"kind": "Video", "id": "x3f5d6857"}, {"kind": "Video", "id": "xacbe5af6"}, {"kind": "Video", "id": 28}, {"kind": "Video", "id": 25}, {"kind": "Video", "id": 22}, {"kind": "Exercise", "id": "xc465f81e"}], "children": [{"translated_youtube_id": "ZS1OZj_oWao", "relative_url": "/video/unit-conversion-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-conversion-word-problem", "duration": 254, "translated_title": "Distance between home and school", "translated_description_html": "", "id": "x0307b297", "description_html": "", "title": "Distance between home and school", "progress_key": "vx0307b297", "edit_slug": "edit/v/x0307b297", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-conversion-word-problem", "deleted": false, "backup_timestamp": "2013-10-23T14:15:04Z", "date_added": "2013-10-23T14:15:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZS1OZj_oWao.mp4/ZS1OZj_oWao.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZS1OZj_oWao.mp4/ZS1OZj_oWao.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZS1OZj_oWao.m3u8/ZS1OZj_oWao.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZS1OZj_oWao&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0307b297", "sha": "66fe40fef170348b0ccefcf7ef03759b32e3d09a", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZS1OZj_oWao/hqdefault.jpg", "youtube_id": "ZS1OZj_oWao", "content_kind": "Video", "readable_id": "unit-conversion-word-problem"}, {"translated_youtube_id": "UhMM68fq9FA", "relative_url": "/video/time-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/time-word-problem", "duration": 218, "translated_title": "Time before volleyball practice", "translated_description_html": "", "id": "x3f5d6857", "description_html": "", "title": "Time before volleyball practice", "progress_key": "vx3f5d6857", "edit_slug": "edit/v/x3f5d6857", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/time-word-problem", "deleted": false, "backup_timestamp": "2013-10-23T14:15:04Z", "date_added": "2013-10-23T14:15:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.mp4/UhMM68fq9FA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.mp4/UhMM68fq9FA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UhMM68fq9FA.m3u8/UhMM68fq9FA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UhMM68fq9FA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3f5d6857", "sha": "df92ece3e768ad34e7cec04bf1cf07e2bc4b9575", "translated_description": "", "image_url": "https://img.youtube.com/vi/UhMM68fq9FA/hqdefault.jpg", "youtube_id": "UhMM68fq9FA", "content_kind": "Video", "readable_id": "time-word-problem"}, {"translated_youtube_id": "PdHSs5_kx24", "relative_url": "/video/unit-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-word-problem-example", "duration": 245, "translated_title": "Left over tea from party", "translated_description_html": "", "id": "xacbe5af6", "description_html": "", "title": "Left over tea from party", "progress_key": "vxacbe5af6", "edit_slug": "edit/v/xacbe5af6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-word-problem-example", "deleted": false, "backup_timestamp": "2013-10-23T14:15:03Z", "date_added": "2013-10-23T14:15:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.mp4/PdHSs5_kx24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.mp4/PdHSs5_kx24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PdHSs5_kx24.m3u8/PdHSs5_kx24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PdHSs5_kx24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxacbe5af6", "sha": "a493e59729e520481f10e938ed92eef1aa841829", "translated_description": "", "image_url": "https://img.youtube.com/vi/PdHSs5_kx24/hqdefault.jpg", "youtube_id": "PdHSs5_kx24", "content_kind": "Video", "readable_id": "unit-word-problem-example"}, {"translated_youtube_id": "KgoXx_58QyQ", "relative_url": "/video/solving-application-problems-involving-units-of-volume", "has_questions": false, "keywords": "U06_L1_T3_we3, Solving, application, problems, involving, units, of, volume, CC_3_MD_2, CC_4_MD_1, CC_4_MD_2, CC_5_MD_1, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_c, CC_6_RP_3_d, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solving-application-problems-involving-units-of-volume", "duration": 209, "translated_title": "Blood drive", "translated_description_html": "Solving application problems involving units of volume", "id": "28", "description_html": "Solving application problems involving units of volume", "title": "Blood drive", "progress_key": "v28", "edit_slug": "edit/v/28", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving application problems involving units of volume", "extra_properties": null, "node_slug": "v/solving-application-problems-involving-units-of-volume", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.m3u8/KgoXx_58QyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KgoXx_58QyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28", "sha": "098b40d5a69934bbcd219f2975847404168a1eea", "translated_description": "Solving application problems involving units of volume", "image_url": "https://img.youtube.com/vi/KgoXx_58QyQ/hqdefault.jpg", "youtube_id": "KgoXx_58QyQ", "content_kind": "Video", "readable_id": "solving-application-problems-involving-units-of-volume"}, {"translated_youtube_id": "gnCL_0uA6Ds", "relative_url": "/video/application-problems-involving-units-of-weight", "has_questions": false, "keywords": "U06_L1_T2_we3, Application, problems, involving, units, of, weight, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/application-problems-involving-units-of-weight", "duration": 428, "translated_title": "Safe elevator", "translated_description_html": "Application problems involving units of weight", "id": "25", "description_html": "Application problems involving units of weight", "title": "Safe elevator", "progress_key": "v25", "edit_slug": "edit/v/25", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Application problems involving units of weight", "extra_properties": null, "node_slug": "v/application-problems-involving-units-of-weight", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.m3u8/gnCL_0uA6Ds.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gnCL_0uA6Ds&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25", "sha": "99e9e24ae8c5e55b1d49412dd43867c18e3c7ad2", "translated_description": "Application problems involving units of weight", "image_url": "https://img.youtube.com/vi/gnCL_0uA6Ds/hqdefault.jpg", "youtube_id": "gnCL_0uA6Ds", "content_kind": "Video", "readable_id": "application-problems-involving-units-of-weight"}, {"translated_youtube_id": "AGFO-ROxH_I", "relative_url": "/video/converting-units-of-length", "has_questions": false, "keywords": "U06_L1_T1_we3, Converting, units, of, length, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-units-of-length", "duration": 484, "translated_title": "Running laps", "translated_description_html": "

Converting units of length<\/p>", "id": "22", "description_html": "

Converting units of length<\/p>", "title": "Running laps", "progress_key": "v22", "edit_slug": "edit/v/22", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting units of length", "extra_properties": {}, "node_slug": "v/converting-units-of-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.m3u8/AGFO-ROxH_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AGFO-ROxH_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v22", "sha": "d2a36f7b3a5990eb193f1dbaa5d945c03b2d3b4f", "translated_description": "Converting units of length", "image_url": "https://img.youtube.com/vi/AGFO-ROxH_I/hqdefault.jpg", "youtube_id": "AGFO-ROxH_I", "content_kind": "Video", "readable_id": "converting-units-of-length"}], "twitter_url": "", "translated_description": "Now that you have some experience converting between units, let's apply that skill in some real-world problems (okay, some of them are a bit concocted, but it's all about the learning)!\n\nCommon Core Standard: 5.MD.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Now that you have some experience converting between units, let's apply that skill in some real-world problems (okay, some of them are a bit concocted, but it's all about the learning)!\n\nCommon Core Standard: 5.MD.A.1", "x_pos": 0.0, "node_slug": "cc-5th-unit-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-23T14:15:03Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97553fa4", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems", "extended_slug": "math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems", "slug": "cc-5th-unit-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d3ea2abf11068d6dd625ed2c809bda6bcc9957c1", "standalone_title": "Unit word problems", "y_pos": 0.0, "current_revision_key": "d3ea2abf11068d6dd625ed2c809bda6bcc9957c1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data", "translated_standalone_title": "Data", "translated_title": "Data", "gplus_url": "", "id": "x12ffc509", "old_key_name": null, "hide": false, "title": "Data", "child_data": [{"kind": "Exercise", "id": "xcdd538c4"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-21T17:59:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12ffc509", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data", "extended_slug": "math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data", "slug": "cc-5th-data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bf6a0f2d7fbf830c93c84904e75824d42f6439a3", "standalone_title": "Data", "y_pos": 0.0, "current_revision_key": "bf6a0f2d7fbf830c93c84904e75824d42f6439a3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-measurement-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ad7497b", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-measurement-topic", "extended_slug": "math/cc-fifth-grade-math/cc-5th-measurement-topic", "slug": "cc-5th-measurement-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4f285cc74a5365a132d8b2818d31f2ef35c0afa6", "standalone_title": "Measurement and data", "y_pos": 0.0, "current_revision_key": "4f285cc74a5365a132d8b2818d31f2ef35c0afa6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "x6e6877f8", "old_key_name": null, "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "x90e4cfb6"}, {"kind": "Topic", "id": "x3f272b92"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane", "translated_standalone_title": "Coordinate plane", "translated_title": "Coordinate plane", "gplus_url": "", "id": "x90e4cfb6", "old_key_name": null, "hide": false, "title": "Coordinate plane", "child_data": [{"kind": "Video", "id": "xba8b84ab"}, {"kind": "Exercise", "id": 2016}, {"kind": "Video", "id": "x4eee6cc3"}, {"kind": "Exercise", "id": "xcb17d9e9"}], "children": [{"translated_youtube_id": "4vNloi-zNjU", "relative_url": "/video/graphing-points-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-points-exercise", "duration": 141, "translated_title": "Graphing points exercise", "translated_description_html": "", "id": "xba8b84ab", "description_html": "", "title": "Graphing points exercise", "progress_key": "vxba8b84ab", "edit_slug": "edit/v/xba8b84ab", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-points-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T21:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.mp4/4vNloi-zNjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.mp4/4vNloi-zNjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.m3u8/4vNloi-zNjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4vNloi-zNjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxba8b84ab", "sha": "ec6d3532f890de4655f8b0c783d3a8111b857fa3", "translated_description": "", "image_url": "https://img.youtube.com/vi/4vNloi-zNjU/hqdefault.jpg", "youtube_id": "4vNloi-zNjU", "content_kind": "Video", "readable_id": "graphing-points-exercise"}, {"translated_youtube_id": "_QKR8I5VE-w", "relative_url": "/video/coordinate-plane-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/coordinate-plane-word-problem-example", "duration": 126, "translated_title": "Blocks Naomi walks to school", "translated_description_html": "", "id": "x4eee6cc3", "description_html": "", "title": "Blocks Naomi walks to school", "progress_key": "vx4eee6cc3", "edit_slug": "edit/v/x4eee6cc3", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/coordinate-plane-word-problem-example", "deleted": false, "backup_timestamp": "2013-10-25T23:01:07Z", "date_added": "2013-10-25T23:01:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_QKR8I5VE-w.mp4/_QKR8I5VE-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_QKR8I5VE-w.mp4/_QKR8I5VE-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_QKR8I5VE-w.m3u8/_QKR8I5VE-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_QKR8I5VE-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4eee6cc3", "sha": "94a913a3d524472fbc237fe584dbe44e5e9cf8c9", "translated_description": "", "image_url": "https://img.youtube.com/vi/_QKR8I5VE-w/hqdefault.jpg", "youtube_id": "_QKR8I5VE-w", "content_kind": "Video", "readable_id": "coordinate-plane-word-problem-example"}], "twitter_url": "", "translated_description": "How can we communicate exactly where something is in two dimensions? In this tutorial, we cover the basics of the coordinate plane. \n\nCommon Core Standard: 5.G.A.1, 5.G.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How can we communicate exactly where something is in two dimensions? In this tutorial, we cover the basics of the coordinate plane. \n\nCommon Core Standard: 5.G.A.1, 5.G.A.2\t", "x_pos": 0.0, "node_slug": "cc-5th-coordinate-plane", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax90e4cfb6", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane", "extended_slug": "math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane", "slug": "cc-5th-coordinate-plane", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "871d094ccb4ebe19a106baa079b74da72fa0b56f", "standalone_title": "Coordinate plane", "y_pos": 0.0, "current_revision_key": "871d094ccb4ebe19a106baa079b74da72fa0b56f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals", "translated_standalone_title": "Quadrilaterals", "translated_title": "Quadrilaterals", "gplus_url": "", "id": "x3f272b92", "old_key_name": null, "hide": false, "title": "Quadrilaterals", "child_data": [{"kind": "Video", "id": 339557900}, {"kind": "Video", "id": 370305272}, {"kind": "Video", "id": "x1b577232"}, {"kind": "Video", "id": "x819465b4"}, {"kind": "Exercise", "id": 251616813}, {"kind": "Video", "id": "x32882801"}, {"kind": "Exercise", "id": "xa92f72a2"}], "children": [{"translated_youtube_id": "Ka82QC4QvGA", "relative_url": "/video/quadrilateral-overview", "has_questions": false, "keywords": "rhombus", "ka_url": "http://www.khanacademy.org/video/quadrilateral-overview", "duration": 504, "translated_title": "Quadrilateral overview", "translated_description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "id": "339557900", "description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "title": "Quadrilateral overview", "progress_key": "v339557900", "edit_slug": "edit/v/339557900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "extra_properties": null, "node_slug": "v/quadrilateral-overview", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-27T10:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.m3u8/Ka82QC4QvGA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ka82QC4QvGA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v339557900", "sha": "c9e4582384cde52e5baeec7aff1f186ffd70d735", "translated_description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "image_url": "https://img.youtube.com/vi/Ka82QC4QvGA/hqdefault.jpg", "youtube_id": "Ka82QC4QvGA", "content_kind": "Video", "readable_id": "quadrilateral-overview"}, {"translated_youtube_id": "5CeBlu260Rw", "relative_url": "/video/quadrilateral-properties", "has_questions": false, "keywords": "u07_l2_t1_we1, Quadrilateral, Properties", "ka_url": "http://www.khanacademy.org/video/quadrilateral-properties", "duration": 307, "translated_title": "Quadrilateral properties", "translated_description_html": "Quadrilateral Properties", "id": "370305272", "description_html": "Quadrilateral Properties", "title": "Quadrilateral properties", "progress_key": "v370305272", "edit_slug": "edit/v/370305272", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrilateral Properties", "extra_properties": null, "node_slug": "v/quadrilateral-properties", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.m3u8/5CeBlu260Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5CeBlu260Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305272", "sha": "e88657ada96a433ea5639887927342e91d0819ea", "translated_description": "Quadrilateral Properties", "image_url": "https://img.youtube.com/vi/5CeBlu260Rw/hqdefault.jpg", "youtube_id": "5CeBlu260Rw", "content_kind": "Video", "readable_id": "quadrilateral-properties"}, {"translated_youtube_id": "inlMrf2d-k4", "relative_url": "/video/kites-as-a-mathematical-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kites-as-a-mathematical-shape", "duration": 338, "translated_title": "Kites as a mathematical shape", "translated_description_html": "", "id": "x1b577232", "description_html": "", "title": "Kites as a mathematical shape", "progress_key": "vx1b577232", "edit_slug": "edit/v/x1b577232", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kites-as-a-mathematical-shape", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-22T00:22:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.m3u8/inlMrf2d-k4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=inlMrf2d-k4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1b577232", "sha": "2221bd5d42f07468f9469c04d945732bb791dfba", "translated_description": "", "image_url": "https://img.youtube.com/vi/inlMrf2d-k4/hqdefault.jpg", "youtube_id": "inlMrf2d-k4", "content_kind": "Video", "readable_id": "kites-as-a-mathematical-shape"}, {"translated_youtube_id": "wPZIa3SjPF0", "relative_url": "/video/quadrilateral-types-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quadrilateral-types-exercise", "duration": 169, "translated_title": "Quadrilateral types exercise", "translated_description_html": "", "id": "x819465b4", "description_html": "", "title": "Quadrilateral types exercise", "progress_key": "vx819465b4", "edit_slug": "edit/v/x819465b4", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/quadrilateral-types-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-09-22T00:22:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.m3u8/wPZIa3SjPF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wPZIa3SjPF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx819465b4", "sha": "c825f8c8a1977242d8a8f3b3e6743cac348b8b3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/wPZIa3SjPF0/hqdefault.jpg", "youtube_id": "wPZIa3SjPF0", "content_kind": "Video", "readable_id": "quadrilateral-types-exercise"}, {"translated_youtube_id": "1pHhMX0_4Bw", "relative_url": "/video/classifying-shapes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classifying-shapes", "duration": 148, "translated_title": "Classifying shapes", "translated_description_html": "", "id": "x32882801", "description_html": "", "title": "Classifying shapes", "progress_key": "vx32882801", "edit_slug": "edit/v/x32882801", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/classifying-shapes", "deleted": false, "backup_timestamp": "2013-10-30T02:14:24Z", "date_added": "2013-10-30T02:14:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1pHhMX0_4Bw.mp4/1pHhMX0_4Bw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1pHhMX0_4Bw.mp4/1pHhMX0_4Bw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1pHhMX0_4Bw.m3u8/1pHhMX0_4Bw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1pHhMX0_4Bw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx32882801", "sha": "b86256c10bda40a0887c4bb79b9fbfdd45db32c5", "translated_description": "", "image_url": "https://img.youtube.com/vi/1pHhMX0_4Bw/hqdefault.jpg", "youtube_id": "1pHhMX0_4Bw", "content_kind": "Video", "readable_id": "classifying-shapes"}], "twitter_url": "", "translated_description": "Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!\n\nCommon Core Standards: 5.G.B.3, 5.G.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!\n\nCommon Core Standards: 5.G.B.3, 5.G.B.4", "x_pos": 0.0, "node_slug": "cc-5th-quadrilaterals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3f272b92", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals", "extended_slug": "math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals", "slug": "cc-5th-quadrilaterals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de2ca13475b96c5b1677fcdd13953a73c62dda2b", "standalone_title": "Quadrilaterals", "y_pos": 0.0, "current_revision_key": "de2ca13475b96c5b1677fcdd13953a73c62dda2b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-5th-geometry-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e6877f8", "topic_page_url": "/math/cc-fifth-grade-math/cc-5th-geometry-topic", "extended_slug": "math/cc-fifth-grade-math/cc-5th-geometry-topic", "slug": "cc-5th-geometry-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fc6e95a7a7c9ef701551a73e67edafee994565db", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "fc6e95a7a7c9ef701551a73e67edafee994565db", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much \"space\" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring \"powers\" of 10)!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much \"space\" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring \"powers\" of 10)!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-fifth-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb830458a", "topic_page_url": "/math/cc-fifth-grade-math", "extended_slug": "math/cc-fifth-grade-math", "slug": "cc-fifth-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a69829370c229aa1627234540ccc310a3286d02b", "standalone_title": "5th grade (U.S.)", "y_pos": 0.0, "current_revision_key": "a69829370c229aa1627234540ccc310a3286d02b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math", "translated_standalone_title": "6th grade (U.S.)", "translated_title": "6th grade (U.S.)", "gplus_url": "", "id": "x0267d782", "old_key_name": null, "hide": false, "title": "6th grade (U.S.)", "child_data": [{"kind": "Topic", "id": "x22eef7de"}, {"kind": "Topic", "id": "xf5815416"}, {"kind": "Topic", "id": "x347111cf"}, {"kind": "Topic", "id": "x673b532f"}, {"kind": "Topic", "id": "xfa626edb"}, {"kind": "Topic", "id": "x8ade30f9"}, {"kind": "Topic", "id": "x419abcbd"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic", "translated_standalone_title": "Ratios, rates, and percentages", "translated_title": "Ratios, rates, and percentages", "gplus_url": "", "id": "x22eef7de", "old_key_name": null, "hide": false, "title": "Ratios, rates, and percentages", "child_data": [{"kind": "Topic", "id": "xe352ffb1"}, {"kind": "Topic", "id": "x1e642a59"}, {"kind": "Topic", "id": "x247ebe2c"}, {"kind": "Topic", "id": "x140584ef"}, {"kind": "Topic", "id": "x2415e324"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-describing-ratios", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-describing-ratios", "translated_standalone_title": "Describing ratios", "translated_title": "Describing ratios", "gplus_url": "", "id": "xe352ffb1", "old_key_name": null, "hide": false, "title": "Describing ratios", "child_data": [{"kind": "Video", "id": 23464}, {"kind": "Video", "id": 1819}, {"kind": "Video", "id": 1820}, {"kind": "Exercise", "id": 201382013}, {"kind": "Video", "id": "x09b0e465"}, {"kind": "Exercise", "id": "x9f789589"}], "children": [{"translated_youtube_id": "HpdMJaKaXXc", "relative_url": "/video/introduction-to-ratios--new-hd-version", "has_questions": false, "keywords": "ratio, ratios, math", "ka_url": "http://www.khanacademy.org/video/introduction-to-ratios--new-hd-version", "duration": 853, "translated_title": "Introduction to ratios", "translated_description_html": "What a ratio is. Simple ratio problems.", "id": "23464", "description_html": "What a ratio is. Simple ratio problems.", "title": "Introduction to ratios", "progress_key": "v23464", "edit_slug": "edit/v/23464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What a ratio is. Simple ratio problems.", "extra_properties": null, "node_slug": "v/introduction-to-ratios--new-hd-version", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.m3u8/HpdMJaKaXXc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HpdMJaKaXXc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23464", "sha": "5a82885fa301342273da98a6c9a0dbfa40df6234", "translated_description": "What a ratio is. Simple ratio problems.", "image_url": "https://img.youtube.com/vi/HpdMJaKaXXc/hqdefault.jpg", "youtube_id": "HpdMJaKaXXc", "content_kind": "Video", "readable_id": "introduction-to-ratios--new-hd-version"}, {"translated_youtube_id": "JWmCiZwoyMs", "relative_url": "/video/ratios-as-fractions-in-simplest-form", "has_questions": false, "keywords": "U04_L1_T1_we1, Ratios, as, Fractions, in, Simplest, Form, CC_6_RP_1", "ka_url": "http://www.khanacademy.org/video/ratios-as-fractions-in-simplest-form", "duration": 79, "translated_title": "Ratios as fractions in simplest form", "translated_description_html": "Ratios as Fractions in Simplest Form", "id": "1819", "description_html": "Ratios as Fractions in Simplest Form", "title": "Ratios as fractions in simplest form", "progress_key": "v1819", "edit_slug": "edit/v/1819", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ratios as Fractions in Simplest Form", "extra_properties": null, "node_slug": "v/ratios-as-fractions-in-simplest-form", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.m3u8/JWmCiZwoyMs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JWmCiZwoyMs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1819", "sha": "1511b67b5968a578740973fa9413a6cce601da60", "translated_description": "Ratios as Fractions in Simplest Form", "image_url": "https://img.youtube.com/vi/JWmCiZwoyMs/hqdefault.jpg", "youtube_id": "JWmCiZwoyMs", "content_kind": "Video", "readable_id": "ratios-as-fractions-in-simplest-form"}, {"translated_youtube_id": "p5nomPfUF9k", "relative_url": "/video/simplifying-rates-and-ratios", "has_questions": false, "keywords": "U04_L1_T1_we2, Simplifying, Rates, and, Ratios, CC_6_RP_1", "ka_url": "http://www.khanacademy.org/video/simplifying-rates-and-ratios", "duration": 148, "translated_title": "Simplifying rates and ratios", "translated_description_html": "Simplifying Rates and Ratios", "id": "1820", "description_html": "Simplifying Rates and Ratios", "title": "Simplifying rates and ratios", "progress_key": "v1820", "edit_slug": "edit/v/1820", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Rates and Ratios", "extra_properties": null, "node_slug": "v/simplifying-rates-and-ratios", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.mp4/p5nomPfUF9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.mp4/p5nomPfUF9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.m3u8/p5nomPfUF9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5nomPfUF9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1820", "sha": "b483504979564fd335029a0ff92a12e42a34061e", "translated_description": "Simplifying Rates and Ratios", "image_url": "https://img.youtube.com/vi/p5nomPfUF9k/hqdefault.jpg", "youtube_id": "p5nomPfUF9k", "content_kind": "Video", "readable_id": "simplifying-rates-and-ratios"}, {"translated_youtube_id": "b-6pqRnm2b8", "relative_url": "/video/describing-ratios-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/describing-ratios-exercise", "duration": 128, "translated_title": "Describing ratios exercise", "translated_description_html": "", "id": "x09b0e465", "description_html": "", "title": "Describing ratios exercise", "progress_key": "vx09b0e465", "edit_slug": "edit/v/x09b0e465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/describing-ratios-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.mp4/b-6pqRnm2b8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.mp4/b-6pqRnm2b8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.m3u8/b-6pqRnm2b8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-6pqRnm2b8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09b0e465", "sha": "84acc4a18052bf42aa5f25b1baa204ccafd14e78", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-6pqRnm2b8/hqdefault.jpg", "youtube_id": "b-6pqRnm2b8", "content_kind": "Video", "readable_id": "describing-ratios-exercise"}], "twitter_url": "", "translated_description": "Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls to boys? What is the ratio of eggs to butter in your favorite dessert? Ratios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!\n\nCommon Core Standards: 6.RP.A.1, 6.RP.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls to boys? What is the ratio of eggs to butter in your favorite dessert? Ratios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!\n\nCommon Core Standards: 6.RP.A.1, 6.RP.A.2", "x_pos": 0.0, "node_slug": "cc-6th-describing-ratios", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe352ffb1", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-describing-ratios", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-describing-ratios", "slug": "cc-6th-describing-ratios", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7a89e615d1f628ad4dafd2af76e4554d8e45ca64", "standalone_title": "Describing ratios", "y_pos": 0.0, "current_revision_key": "7a89e615d1f628ad4dafd2af76e4554d8e45ca64", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems", "translated_standalone_title": "Ratio word problems", "translated_title": "Ratio word problems", "gplus_url": "", "id": "x1e642a59", "old_key_name": null, "hide": false, "title": "Ratio word problems", "child_data": [{"kind": "Video", "id": "xde4f6af2"}, {"kind": "Video", "id": "x8db3094d"}, {"kind": "Exercise", "id": 201415654}, {"kind": "Video", "id": "xcfd31e75"}, {"kind": "Video", "id": "x708bfe94"}, {"kind": "Video", "id": "xb4441e1f"}, {"kind": "Exercise", "id": "x1face01c"}], "children": [{"translated_youtube_id": "Vx5uoZAkxng", "relative_url": "/video/ratio-word-problem-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ratio-word-problem-exercise-example-1", "duration": 124, "translated_title": "Ratio word problem exercise example 1", "translated_description_html": "", "id": "xde4f6af2", "description_html": "", "title": "Ratio word problem exercise example 1", "progress_key": "vxde4f6af2", "edit_slug": "edit/v/xde4f6af2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/ratio-word-problem-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.mp4/Vx5uoZAkxng.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.mp4/Vx5uoZAkxng.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.m3u8/Vx5uoZAkxng.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vx5uoZAkxng&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxde4f6af2", "sha": "35408ee1020a13df7311e2677dc3c091588ad167", "translated_description": "", "image_url": "https://img.youtube.com/vi/Vx5uoZAkxng/hqdefault.jpg", "youtube_id": "Vx5uoZAkxng", "content_kind": "Video", "readable_id": "ratio-word-problem-exercise-example-1"}, {"translated_youtube_id": "tOd2T72eJME", "relative_url": "/video/ratio-word-problem-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ratio-word-problem-exercise-example-2", "duration": 72, "translated_title": "Ratio word problem exercise example 2", "translated_description_html": "", "id": "x8db3094d", "description_html": "", "title": "Ratio word problem exercise example 2", "progress_key": "vx8db3094d", "edit_slug": "edit/v/x8db3094d", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/ratio-word-problem-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.mp4/tOd2T72eJME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.mp4/tOd2T72eJME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.m3u8/tOd2T72eJME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tOd2T72eJME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8db3094d", "sha": "440db0886a8934b3117be4e89d3a181c08567ec7", "translated_description": "", "image_url": "https://img.youtube.com/vi/tOd2T72eJME/hqdefault.jpg", "youtube_id": "tOd2T72eJME", "content_kind": "Video", "readable_id": "ratio-word-problem-exercise-example-2"}, {"translated_youtube_id": "MaMk6-f3T9k", "relative_url": "/video/solving-ratio-problems-with-tables-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise", "duration": 305, "translated_title": "Solving ratio problems with tables exercise", "translated_description_html": "", "id": "xcfd31e75", "description_html": "", "title": "Solving ratio problems with tables exercise", "progress_key": "vxcfd31e75", "edit_slug": "edit/v/xcfd31e75", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.mp4/MaMk6-f3T9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.mp4/MaMk6-f3T9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.m3u8/MaMk6-f3T9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MaMk6-f3T9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcfd31e75", "sha": "b07810f85aab788d236edf7e661842e5adebeef4", "translated_description": "", "image_url": "https://img.youtube.com/vi/MaMk6-f3T9k/hqdefault.jpg", "youtube_id": "MaMk6-f3T9k", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise"}, {"translated_youtube_id": "kfySynqWWos", "relative_url": "/video/solving-ratio-problems-with-tables-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise-2", "duration": 149, "translated_title": "Solving ratio problems with tables exercise 2", "translated_description_html": "", "id": "x708bfe94", "description_html": "", "title": "Solving ratio problems with tables exercise 2", "progress_key": "vx708bfe94", "edit_slug": "edit/v/x708bfe94", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.mp4/kfySynqWWos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.mp4/kfySynqWWos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.m3u8/kfySynqWWos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kfySynqWWos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx708bfe94", "sha": "9c718046c0c7c9e5fd0c4a028e2eb852dac40cb9", "translated_description": "", "image_url": "https://img.youtube.com/vi/kfySynqWWos/hqdefault.jpg", "youtube_id": "kfySynqWWos", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise-2"}, {"translated_youtube_id": "dmcVzFbXMCU", "relative_url": "/video/solving-ratio-problems-with-tables-exercise-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise-3", "duration": 94, "translated_title": "Solving ratio problems with tables exercise 3", "translated_description_html": "", "id": "xb4441e1f", "description_html": "", "title": "Solving ratio problems with tables exercise 3", "progress_key": "vxb4441e1f", "edit_slug": "edit/v/xb4441e1f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.mp4/dmcVzFbXMCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.mp4/dmcVzFbXMCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.m3u8/dmcVzFbXMCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dmcVzFbXMCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb4441e1f", "sha": "02a3827b653dcc9760e4e2400eab51b0e7b0a950", "translated_description": "", "image_url": "https://img.youtube.com/vi/dmcVzFbXMCU/hqdefault.jpg", "youtube_id": "dmcVzFbXMCU", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise-3"}], "twitter_url": "", "translated_description": "Let's apply our knowledge of ratios in real-world settings!\n\nCommon Core Standards: 6.RP.A.3, 6.RP.A.3a\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's apply our knowledge of ratios in real-world settings!\n\nCommon Core Standards: 6.RP.A.3, 6.RP.A.3a\n", "x_pos": 0.0, "node_slug": "cc-6th-ratio-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1e642a59", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems", "slug": "cc-6th-ratio-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a59c6ab89f4093a09370be70a3f892be923b26e7", "standalone_title": "Ratio word problems", "y_pos": 0.0, "current_revision_key": "a59c6ab89f4093a09370be70a3f892be923b26e7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates", "translated_standalone_title": "Rates", "translated_title": "Rates", "gplus_url": "", "id": "x247ebe2c", "old_key_name": null, "hide": false, "title": "Rates", "child_data": [{"kind": "Video", "id": 1821}, {"kind": "Video", "id": 1822}, {"kind": "Exercise", "id": 243479663}, {"kind": "Video", "id": "x4d8d0cca"}, {"kind": "Exercise", "id": 297910578}, {"kind": "Video", "id": 1254749169}], "children": [{"translated_youtube_id": "Zm0KaIw-35k", "relative_url": "/video/finding-unit-rates", "has_questions": false, "keywords": "U04_L1_T1_we3, Finding, Unit, Rates, CC_6_RP_2, CC_6_RP_3, CC_7_RP_2_b", "ka_url": "http://www.khanacademy.org/video/finding-unit-rates", "duration": 151, "translated_title": "Finding unit rates", "translated_description_html": "Finding Unit Rates", "id": "1821", "description_html": "Finding Unit Rates", "title": "Finding unit rates", "progress_key": "v1821", "edit_slug": "edit/v/1821", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Unit Rates", "extra_properties": null, "node_slug": "v/finding-unit-rates", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.mp4/Zm0KaIw-35k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.mp4/Zm0KaIw-35k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.m3u8/Zm0KaIw-35k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zm0KaIw-35k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1821", "sha": "5ed2cc46d0dfc421c5c7cbc7442533ed2d139228", "translated_description": "Finding Unit Rates", "image_url": "https://img.youtube.com/vi/Zm0KaIw-35k/hqdefault.jpg", "youtube_id": "Zm0KaIw-35k", "content_kind": "Video", "readable_id": "finding-unit-rates"}, {"translated_youtube_id": "d7rAlcNHDUI", "relative_url": "/video/finding-unit-prices", "has_questions": false, "keywords": "U04_L1_T1_we4, Finding, Unit, Prices, CC_6_RP_2, CC_6_RP_3", "ka_url": "http://www.khanacademy.org/video/finding-unit-prices", "duration": 121, "translated_title": "Finding unit prices", "translated_description_html": "Finding Unit Prices", "id": "1822", "description_html": "Finding Unit Prices", "title": "Finding unit prices", "progress_key": "v1822", "edit_slug": "edit/v/1822", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Unit Prices", "extra_properties": null, "node_slug": "v/finding-unit-prices", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.mp4/d7rAlcNHDUI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.mp4/d7rAlcNHDUI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.m3u8/d7rAlcNHDUI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d7rAlcNHDUI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1822", "sha": "86affedecaea7a4c3844d42f9252e5162ce91f7c", "translated_description": "Finding Unit Prices", "image_url": "https://img.youtube.com/vi/d7rAlcNHDUI/hqdefault.jpg", "youtube_id": "d7rAlcNHDUI", "content_kind": "Video", "readable_id": "finding-unit-prices"}, {"translated_youtube_id": "Uc2Tm4Lr7uI", "relative_url": "/video/multiple-rates-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiple-rates-word-problem", "duration": 388, "translated_title": "Multiple rates word problem", "translated_description_html": "", "id": "x4d8d0cca", "description_html": "", "title": "Multiple rates word problem", "progress_key": "vx4d8d0cca", "edit_slug": "edit/v/x4d8d0cca", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiple-rates-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:21:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.mp4/Uc2Tm4Lr7uI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.mp4/Uc2Tm4Lr7uI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.m3u8/Uc2Tm4Lr7uI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uc2Tm4Lr7uI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d8d0cca", "sha": "a84e9633ead959dc60ff09438a22f833cf9df2b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/Uc2Tm4Lr7uI/hqdefault.jpg", "youtube_id": "Uc2Tm4Lr7uI", "content_kind": "Video", "readable_id": "multiple-rates-word-problem"}, {"translated_youtube_id": "mt6Nq0dzFjo", "relative_url": "/video/usain-bolt-s-average-speed", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/usain-bolt-s-average-speed", "duration": 795, "translated_title": "Usain Bolt's average speed", "translated_description_html": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "id": "1254749169", "description_html": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "title": "Usain Bolt's average speed", "progress_key": "v1254749169", "edit_slug": "edit/v/1254749169", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "extra_properties": null, "node_slug": "v/usain-bolt-s-average-speed", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-29T01:42:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.mp4/mt6Nq0dzFjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.mp4/mt6Nq0dzFjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.m3u8/mt6Nq0dzFjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mt6Nq0dzFjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254749169", "sha": "fe2fcd84c603ce6a39be14617ad8b6b39546d26c", "translated_description": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "image_url": "https://img.youtube.com/vi/mt6Nq0dzFjo/hqdefault.jpg", "youtube_id": "mt6Nq0dzFjo", "content_kind": "Video", "readable_id": "usain-bolt-s-average-speed"}], "twitter_url": "", "translated_description": "How fast can a robot possum fly? What is the rate at which a hungry person can consume avocados? This tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 6.RP.A.3b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How fast can a robot possum fly? What is the rate at which a hungry person can consume avocados? This tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 6.RP.A.3b", "x_pos": 0.0, "node_slug": "cc-6th-rates", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax247ebe2c", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates", "slug": "cc-6th-rates", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8fb7c4472744cb9cf78ef5ad021197fa451afe24", "standalone_title": "Rates", "y_pos": 0.0, "current_revision_key": "8fb7c4472744cb9cf78ef5ad021197fa451afe24", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percentages", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percentages", "translated_standalone_title": "Percentages", "translated_title": "Percentages", "gplus_url": "", "id": "x140584ef", "old_key_name": null, "hide": false, "title": "Percentages", "child_data": [{"kind": "Video", "id": 4802229}, {"kind": "Video", "id": 4802230}, {"kind": "Video", "id": 4802231}, {"kind": "Video", "id": 915124662}, {"kind": "Video", "id": 914998704}, {"kind": "Exercise", "id": 245512773}, {"kind": "Video", "id": "xf7f8fc80"}, {"kind": "Video", "id": "x8959c8e0"}, {"kind": "Exercise", "id": 245530302}, {"kind": "Video", "id": "x7d62667a"}, {"kind": "Video", "id": "x31086a98"}, {"kind": "Video", "id": "xc1057cd3"}, {"kind": "Exercise", "id": "xc4532d76"}], "children": [{"translated_youtube_id": "Lvr2YsxG10o", "relative_url": "/video/describing-the-meaning-of-percent", "has_questions": false, "keywords": "U05_L1_T1_we1, Describing, the, Meaning, of, Percent, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/describing-the-meaning-of-percent", "duration": 181, "translated_title": "Describing the meaning of percent", "translated_description_html": "Describing the Meaning of Percent", "id": "4802229", "description_html": "Describing the Meaning of Percent", "title": "Describing the meaning of percent", "progress_key": "v4802229", "edit_slug": "edit/v/4802229", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Describing the Meaning of Percent", "extra_properties": null, "node_slug": "v/describing-the-meaning-of-percent", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.mp4/Lvr2YsxG10o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.mp4/Lvr2YsxG10o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.m3u8/Lvr2YsxG10o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lvr2YsxG10o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802229", "sha": "91c1c2fbe97b9c42b77c3254b41d3f0bb2759836", "translated_description": "Describing the Meaning of Percent", "image_url": "https://img.youtube.com/vi/Lvr2YsxG10o/hqdefault.jpg", "youtube_id": "Lvr2YsxG10o", "content_kind": "Video", "readable_id": "describing-the-meaning-of-percent"}, {"translated_youtube_id": "MokI3Fi8jpc", "relative_url": "/video/describing-the-meaning-of-percent-2", "has_questions": false, "keywords": "U05_L1_T1_we2, Describing, the, Meaning, of, Percent, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/describing-the-meaning-of-percent-2", "duration": 142, "translated_title": "Describing the meaning of percent 2", "translated_description_html": "Describing the Meaning of Percent 2", "id": "4802230", "description_html": "Describing the Meaning of Percent 2", "title": "Describing the meaning of percent 2", "progress_key": "v4802230", "edit_slug": "edit/v/4802230", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Describing the Meaning of Percent 2", "extra_properties": null, "node_slug": "v/describing-the-meaning-of-percent-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.m3u8/MokI3Fi8jpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MokI3Fi8jpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802230", "sha": "c37923e6740f265173c66e3841077a73133fa72d", "translated_description": "Describing the Meaning of Percent 2", "image_url": "https://img.youtube.com/vi/MokI3Fi8jpc/hqdefault.jpg", "youtube_id": "MokI3Fi8jpc", "content_kind": "Video", "readable_id": "describing-the-meaning-of-percent-2"}, {"translated_youtube_id": "-gB1y-PMWfs", "relative_url": "/video/representing-a-number-as-a-decimal--percent--and-fraction", "has_questions": false, "keywords": "percent, and fraction", "ka_url": "http://www.khanacademy.org/video/representing-a-number-as-a-decimal--percent--and-fraction", "duration": 212, "translated_title": "Representing a number as a decimal, percent, and fraction", "translated_description_html": "Representing a number as a decimal, percent, and fraction", "id": "4802231", "description_html": "Representing a number as a decimal, percent, and fraction", "title": "Representing a number as a decimal, percent, and fraction", "progress_key": "v4802231", "edit_slug": "edit/v/4802231", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Representing a number as a decimal, percent, and fraction", "extra_properties": null, "node_slug": "v/representing-a-number-as-a-decimal--percent--and-fraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.m3u8/-gB1y-PMWfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-gB1y-PMWfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802231", "sha": "ce4da5afff9faa62fda8bf08afb566d65cc779b3", "translated_description": "Representing a number as a decimal, percent, and fraction", "image_url": "https://img.youtube.com/vi/-gB1y-PMWfs/hqdefault.jpg", "youtube_id": "-gB1y-PMWfs", "content_kind": "Video", "readable_id": "representing-a-number-as-a-decimal--percent--and-fraction"}, {"translated_youtube_id": "5z568fLBQyQ", "relative_url": "/video/converting-decimals-to-percents--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, percents, ex, 1", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-percents--ex-1", "duration": 156, "translated_title": "Converting decimals to percents (ex 1)", "translated_description_html": "Converting decimals to percents (ex 1)", "id": "915124662", "description_html": "Converting decimals to percents (ex 1)", "title": "Converting decimals to percents (ex 1)", "progress_key": "v915124662", "edit_slug": "edit/v/915124662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting decimals to percents (ex 1)", "extra_properties": null, "node_slug": "v/converting-decimals-to-percents--ex-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:21:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.mp4/5z568fLBQyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.mp4/5z568fLBQyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.m3u8/5z568fLBQyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5z568fLBQyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915124662", "sha": "1e89caa8d83160a394d52b6619fd19b52e73bb14", "translated_description": "Converting decimals to percents (ex 1)", "image_url": "https://img.youtube.com/vi/5z568fLBQyQ/hqdefault.jpg", "youtube_id": "5z568fLBQyQ", "content_kind": "Video", "readable_id": "converting-decimals-to-percents--ex-1"}, {"translated_youtube_id": "3_caioiRu5I", "relative_url": "/video/converting-decimals-to-percents--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, percents, ex, 2", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-percents--ex-2", "duration": 108, "translated_title": "Converting decimals to percents (ex 2)", "translated_description_html": "Converting decimals to percents (ex 2)", "id": "914998704", "description_html": "Converting decimals to percents (ex 2)", "title": "Converting decimals to percents (ex 2)", "progress_key": "v914998704", "edit_slug": "edit/v/914998704", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Converting decimals to percents (ex 2)", "extra_properties": null, "node_slug": "v/converting-decimals-to-percents--ex-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-07-23T22:21:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.m3u8/3_caioiRu5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_caioiRu5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v914998704", "sha": "0c020208740bda3ef982717739e2cbb18c1ae832", "translated_description": "Converting decimals to percents (ex 2)", "image_url": "https://img.youtube.com/vi/3_caioiRu5I/hqdefault.jpg", "youtube_id": "3_caioiRu5I", "content_kind": "Video", "readable_id": "converting-decimals-to-percents--ex-2"}, {"translated_youtube_id": "MkpbtCRwcCE", "relative_url": "/video/converting-percents-to-decimals--ex-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-percents-to-decimals--ex-1", "duration": 83, "translated_title": "Converting percents to decimals (ex 1)", "translated_description_html": "Converting percents to decimals (ex 1)", "id": "xf7f8fc80", "description_html": "Converting percents to decimals (ex 1)", "title": "Converting percents to decimals (ex 1)", "progress_key": "vxf7f8fc80", "edit_slug": "edit/v/xf7f8fc80", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "Converting percents to decimals (ex 1)", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-percents-to-decimals--ex-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.mp4/MkpbtCRwcCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.mp4/MkpbtCRwcCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.m3u8/MkpbtCRwcCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MkpbtCRwcCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf7f8fc80", "sha": "db97b99c93798628be2732dcb53cf6a0c5864e77", "translated_description": "Converting percents to decimals (ex 1)", "image_url": "https://img.youtube.com/vi/MkpbtCRwcCE/hqdefault.jpg", "youtube_id": "MkpbtCRwcCE", "content_kind": "Video", "readable_id": "converting-percents-to-decimals--ex-1"}, {"translated_youtube_id": "T4JKO0OGjpQ", "relative_url": "/video/converting-percents-to-decimals--ex-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-percents-to-decimals--ex-2", "duration": 73, "translated_title": "Converting percents to decimals (ex 2)", "translated_description_html": "Converting percents to decimals (ex 2)", "id": "x8959c8e0", "description_html": "Converting percents to decimals (ex 2)", "title": "Converting percents to decimals (ex 2)", "progress_key": "vx8959c8e0", "edit_slug": "edit/v/x8959c8e0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "Converting percents to decimals (ex 2)", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-percents-to-decimals--ex-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.mp4/T4JKO0OGjpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.mp4/T4JKO0OGjpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.m3u8/T4JKO0OGjpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T4JKO0OGjpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8959c8e0", "sha": "c28a332ed1cff525d26cf1a0c3a879ed6975d34c", "translated_description": "Converting percents to decimals (ex 2)", "image_url": "https://img.youtube.com/vi/T4JKO0OGjpQ/hqdefault.jpg", "youtube_id": "T4JKO0OGjpQ", "content_kind": "Video", "readable_id": "converting-percents-to-decimals--ex-2"}, {"translated_youtube_id": "FaDtge_vkbg", "relative_url": "/video/finding-percentages-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-percentages-example", "duration": 213, "translated_title": "Finding percentages example", "translated_description_html": "", "id": "x7d62667a", "description_html": "", "title": "Finding percentages example", "progress_key": "vx7d62667a", "edit_slug": "edit/v/x7d62667a", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-percentages-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.mp4/FaDtge_vkbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.mp4/FaDtge_vkbg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.m3u8/FaDtge_vkbg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FaDtge_vkbg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7d62667a", "sha": "7e522edc2e85077d7b8ebd6b4405bc2709829fda", "translated_description": "", "image_url": "https://img.youtube.com/vi/FaDtge_vkbg/hqdefault.jpg", "youtube_id": "FaDtge_vkbg", "content_kind": "Video", "readable_id": "finding-percentages-example"}, {"translated_youtube_id": "AjYil74WrVo", "relative_url": "/video/percent-word-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/percent-word-problems", "duration": 169, "translated_title": "Percent word problems", "translated_description_html": "", "id": "x31086a98", "description_html": "", "title": "Percent word problems", "progress_key": "vx31086a98", "edit_slug": "edit/v/x31086a98", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/percent-word-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.m3u8/AjYil74WrVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AjYil74WrVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31086a98", "sha": "1637728186bb11bfaa9a7a52913ed8c1777d996c", "translated_description": "", "image_url": "https://img.youtube.com/vi/AjYil74WrVo/hqdefault.jpg", "youtube_id": "AjYil74WrVo", "content_kind": "Video", "readable_id": "percent-word-problems"}, {"translated_youtube_id": "-lUEWEEpmIo", "relative_url": "/video/taking-a-percentage-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/taking-a-percentage-example", "duration": 127, "translated_title": "Taking a percentage example", "translated_description_html": "", "id": "xc1057cd3", "description_html": "", "title": "Taking a percentage example", "progress_key": "vxc1057cd3", "edit_slug": "edit/v/xc1057cd3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/taking-a-percentage-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.mp4/-lUEWEEpmIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.mp4/-lUEWEEpmIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.m3u8/-lUEWEEpmIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-lUEWEEpmIo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc1057cd3", "sha": "4ebe861e1bebf3b1667873cbdddd5153e4097736", "translated_description": "", "image_url": "https://img.youtube.com/vi/-lUEWEEpmIo/hqdefault.jpg", "youtube_id": "-lUEWEEpmIo", "content_kind": "Video", "readable_id": "taking-a-percentage-example"}], "twitter_url": "", "translated_description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise. As you'll see \"percent\" literally means \"per cent\" or \"per hundred\". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.\n\nCommon Core Standard: 6.RP.A.3c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise. As you'll see \"percent\" literally means \"per cent\" or \"per hundred\". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.\n\nCommon Core Standard: 6.RP.A.3c", "x_pos": 0.0, "node_slug": "cc-6th-percentages", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax140584ef", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percentages", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percentages", "slug": "cc-6th-percentages", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "43c2eb7a3c4f91e3eb12ca37436e23d566e83f1c", "standalone_title": "Percentages", "y_pos": 0.0, "current_revision_key": "43c2eb7a3c4f91e3eb12ca37436e23d566e83f1c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-unit-conversion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-unit-conversion", "translated_standalone_title": "Unit conversion", "translated_title": "Unit conversion", "gplus_url": "", "id": "x2415e324", "old_key_name": null, "hide": false, "title": "Unit conversion", "child_data": [{"kind": "Video", "id": 23}, {"kind": "Video", "id": 26}, {"kind": "Video", "id": 16}, {"kind": "Video", "id": "xbabf89be"}, {"kind": "Video", "id": "xdfd94c1b"}, {"kind": "Video", "id": 22}, {"kind": "Video", "id": 1622153}, {"kind": "Video", "id": 153770144}], "children": [{"translated_youtube_id": "IrvEHVn-fks", "relative_url": "/video/converting-pounds-to-ounces", "has_questions": false, "keywords": "U06_L1_T2_we1, Converting, pounds, to, ounces, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-pounds-to-ounces", "duration": 94, "translated_title": "Converting pounds to ounces", "translated_description_html": "Converting pounds to ounces", "id": "23", "description_html": "Converting pounds to ounces", "title": "Converting pounds to ounces", "progress_key": "v23", "edit_slug": "edit/v/23", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting pounds to ounces", "extra_properties": null, "node_slug": "v/converting-pounds-to-ounces", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.mp4/IrvEHVn-fks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.mp4/IrvEHVn-fks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.m3u8/IrvEHVn-fks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IrvEHVn-fks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23", "sha": "f451e37e673cc24b3750d9cd3a1872ac3a42b8ac", "translated_description": "Converting pounds to ounces", "image_url": "https://img.youtube.com/vi/IrvEHVn-fks/hqdefault.jpg", "youtube_id": "IrvEHVn-fks", "content_kind": "Video", "readable_id": "converting-pounds-to-ounces"}, {"translated_youtube_id": "4uQtJDf7drU", "relative_url": "/video/converting-gallons-to-quarts-pints-and-cups", "has_questions": false, "keywords": "U06_L1_T3_we1, Converting, Gallons, to, quarts, pints, and, cups, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-gallons-to-quarts-pints-and-cups", "duration": 317, "translated_title": "Converting gallons to quarts, pints, and cups", "translated_description_html": "Converting Gallons to quarts pints and cups", "id": "26", "description_html": "Converting Gallons to quarts pints and cups", "title": "Converting gallons to quarts, pints, and cups", "progress_key": "v26", "edit_slug": "edit/v/26", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Gallons to quarts pints and cups", "extra_properties": null, "node_slug": "v/converting-gallons-to-quarts-pints-and-cups", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.m3u8/4uQtJDf7drU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4uQtJDf7drU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26", "sha": "ea0b4e8e51fd7b7b4cda4632d017e32bee5c3b73", "translated_description": "Converting Gallons to quarts pints and cups", "image_url": "https://img.youtube.com/vi/4uQtJDf7drU/hqdefault.jpg", "youtube_id": "4uQtJDf7drU", "content_kind": "Video", "readable_id": "converting-gallons-to-quarts-pints-and-cups"}, {"translated_youtube_id": "8C5kAIKLcZo", "relative_url": "/video/converting-yards-into-inches", "has_questions": false, "keywords": "U06_L1_T1_we1, Converting, Yards, into, Inches", "ka_url": "http://www.khanacademy.org/video/converting-yards-into-inches", "duration": 349, "translated_title": "Converting yards into inches", "translated_description_html": "U06_L1_T1_we1 Converting Yards into Inches", "id": "16", "description_html": "U06_L1_T1_we1 Converting Yards into Inches", "title": "Converting yards into inches", "progress_key": "v16", "edit_slug": "edit/v/16", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U06_L1_T1_we1 Converting Yards into Inches", "extra_properties": null, "node_slug": "v/converting-yards-into-inches", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.mp4/8C5kAIKLcZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.mp4/8C5kAIKLcZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.m3u8/8C5kAIKLcZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8C5kAIKLcZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v16", "sha": "4f0c97b62dc14a39d2fbd501ca409ab2ec3eb94f", "translated_description": "U06_L1_T1_we1 Converting Yards into Inches", "image_url": "https://img.youtube.com/vi/8C5kAIKLcZo/hqdefault.jpg", "youtube_id": "8C5kAIKLcZo", "content_kind": "Video", "readable_id": "converting-yards-into-inches"}, {"translated_youtube_id": "xpzt0wqMT6Y", "relative_url": "/video/unit-conversion-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-conversion-exercise-example-1", "duration": 227, "translated_title": "Gas cost for a roadtrip", "translated_description_html": "", "id": "xbabf89be", "description_html": "", "title": "Gas cost for a roadtrip", "progress_key": "vxbabf89be", "edit_slug": "edit/v/xbabf89be", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/unit-conversion-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T15:22:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.mp4/xpzt0wqMT6Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.mp4/xpzt0wqMT6Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.m3u8/xpzt0wqMT6Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xpzt0wqMT6Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbabf89be", "sha": "475ec9c1a9b285586f450ef2e491667a03e46d21", "translated_description": "", "image_url": "https://img.youtube.com/vi/xpzt0wqMT6Y/hqdefault.jpg", "youtube_id": "xpzt0wqMT6Y", "content_kind": "Video", "readable_id": "unit-conversion-exercise-example-1"}, {"translated_youtube_id": "F0LLR7bs7Qo", "relative_url": "/video/can-a-squirrel-avoid-getting-run-over", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/can-a-squirrel-avoid-getting-run-over", "duration": 253, "translated_title": "Squirrel survival", "translated_description_html": "", "id": "xdfd94c1b", "description_html": "", "title": "Squirrel survival", "progress_key": "vxdfd94c1b", "edit_slug": "edit/v/xdfd94c1b", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/can-a-squirrel-avoid-getting-run-over", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T15:22:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.mp4/F0LLR7bs7Qo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.mp4/F0LLR7bs7Qo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.m3u8/F0LLR7bs7Qo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F0LLR7bs7Qo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfd94c1b", "sha": "4b384038a24efb789e9db2249a649a6d8d2ea582", "translated_description": "", "image_url": "https://img.youtube.com/vi/F0LLR7bs7Qo/hqdefault.jpg", "youtube_id": "F0LLR7bs7Qo", "content_kind": "Video", "readable_id": "can-a-squirrel-avoid-getting-run-over"}, {"translated_youtube_id": "AGFO-ROxH_I", "relative_url": "/video/converting-units-of-length", "has_questions": false, "keywords": "U06_L1_T1_we3, Converting, units, of, length, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-units-of-length", "duration": 484, "translated_title": "Running laps", "translated_description_html": "

Converting units of length<\/p>", "id": "22", "description_html": "

Converting units of length<\/p>", "title": "Running laps", "progress_key": "v22", "edit_slug": "edit/v/22", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting units of length", "extra_properties": {}, "node_slug": "v/converting-units-of-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.m3u8/AGFO-ROxH_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AGFO-ROxH_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v22", "sha": "d2a36f7b3a5990eb193f1dbaa5d945c03b2d3b4f", "translated_description": "Converting units of length", "image_url": "https://img.youtube.com/vi/AGFO-ROxH_I/hqdefault.jpg", "youtube_id": "AGFO-ROxH_I", "content_kind": "Video", "readable_id": "converting-units-of-length"}, {"translated_youtube_id": "ScvuRb6vsz4", "relative_url": "/video/unit-conversion-example--drug-dosage", "has_questions": false, "keywords": "drug, dosage, unit, conversion, nursing", "ka_url": "http://www.khanacademy.org/video/unit-conversion-example--drug-dosage", "duration": 644, "translated_title": "Unit conversion example: Drug dosage", "translated_description_html": "Unit Conversion Example: Drug Dosage", "id": "1622153", "description_html": "Unit Conversion Example: Drug Dosage", "title": "Unit conversion example: Drug dosage", "progress_key": "v1622153", "edit_slug": "edit/v/1622153", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Unit Conversion Example: Drug Dosage", "extra_properties": null, "node_slug": "v/unit-conversion-example--drug-dosage", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.mp4/ScvuRb6vsz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.mp4/ScvuRb6vsz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.m3u8/ScvuRb6vsz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ScvuRb6vsz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1622153", "sha": "2416089f5ea4f38c18f506d326b24fe4e065a497", "translated_description": "Unit Conversion Example: Drug Dosage", "image_url": "https://img.youtube.com/vi/ScvuRb6vsz4/hqdefault.jpg", "youtube_id": "ScvuRb6vsz4", "content_kind": "Video", "readable_id": "unit-conversion-example--drug-dosage"}, {"translated_youtube_id": "jFSenp9ueaI", "relative_url": "/video/unit-conversion-with-fractions", "has_questions": false, "keywords": "u6_l1_t1_we1, Unit, Conversion, with, Fractions", "ka_url": "http://www.khanacademy.org/video/unit-conversion-with-fractions", "duration": 348, "translated_title": "Unit conversion with fractions", "translated_description_html": "Unit Conversion with Fractions", "id": "153770144", "description_html": "Unit Conversion with Fractions", "title": "Unit conversion with fractions", "progress_key": "v153770144", "edit_slug": "edit/v/153770144", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unit Conversion with Fractions", "extra_properties": null, "node_slug": "v/unit-conversion-with-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.m3u8/jFSenp9ueaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFSenp9ueaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770144", "sha": "d5de58cfda5a489ffa725a3a6b48d3fb0642b3ac", "translated_description": "Unit Conversion with Fractions", "image_url": "https://img.youtube.com/vi/jFSenp9ueaI/hqdefault.jpg", "youtube_id": "jFSenp9ueaI", "content_kind": "Video", "readable_id": "unit-conversion-with-fractions"}], "twitter_url": "", "translated_description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? This tutorial is about the fundamental skill of unit conversion.\n\nCommon Core Standard: 6.RP.A.3d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? This tutorial is about the fundamental skill of unit conversion.\n\nCommon Core Standard: 6.RP.A.3d", "x_pos": 0.0, "node_slug": "cc-6th-unit-conversion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2415e324", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-unit-conversion", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-unit-conversion", "slug": "cc-6th-unit-conversion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e1bc9dd403a868d1f280853922b0e660aa070a23", "standalone_title": "Unit conversion", "y_pos": 0.0, "current_revision_key": "e1bc9dd403a868d1f280853922b0e660aa070a23", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-ratios-prop-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax22eef7de", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic", "extended_slug": "math/cc-sixth-grade-math/cc-6th-ratios-prop-topic", "slug": "cc-6th-ratios-prop-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d581acee4df240c925aef5021ff9d97cf2d24194", "standalone_title": "Ratios, rates, and percentages", "y_pos": 0.0, "current_revision_key": "d581acee4df240c925aef5021ff9d97cf2d24194", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations", "translated_standalone_title": "Arithmetic operations", "translated_title": "Arithmetic operations", "gplus_url": "", "id": "xf5815416", "old_key_name": null, "hide": false, "title": "Arithmetic operations", "child_data": [{"kind": "Topic", "id": "x3c729bd1"}, {"kind": "Topic", "id": "x68548717"}, {"kind": "Topic", "id": "xd406da61"}, {"kind": "Topic", "id": "x75904924"}, {"kind": "Topic", "id": "xeee740b6"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-add-sub-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-add-sub-decimals", "translated_standalone_title": "Adding and subtracting decimals", "translated_title": "Adding and subtracting decimals", "gplus_url": "", "id": "x3c729bd1", "old_key_name": null, "hide": false, "title": "Adding and subtracting decimals", "child_data": [{"kind": "Video", "id": "xdd0d7ae2"}, {"kind": "Video", "id": "xbcb2a374"}, {"kind": "Video", "id": 4802227}, {"kind": "Exercise", "id": 720725814}, {"kind": "Video", "id": 4802228}, {"kind": "Exercise", "id": 2031}], "children": [{"translated_youtube_id": "oLh_sIESQnY", "relative_url": "/video/adding-decimals-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-1", "duration": 160, "translated_title": "Adding decimals example 1", "translated_description_html": "", "id": "xdd0d7ae2", "description_html": "", "title": "Adding decimals example 1", "progress_key": "vxdd0d7ae2", "edit_slug": "edit/v/xdd0d7ae2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.m3u8/oLh_sIESQnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oLh_sIESQnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdd0d7ae2", "sha": "a007af9d8ee1c1cb285de2cf9b8cbdeafc42f5cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/oLh_sIESQnY/hqdefault.jpg", "youtube_id": "oLh_sIESQnY", "content_kind": "Video", "readable_id": "adding-decimals-example-1"}, {"translated_youtube_id": "ErHFQUhZ94I", "relative_url": "/video/adding-decimals-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-2", "duration": 106, "translated_title": "Adding decimals example 2", "translated_description_html": "", "id": "xbcb2a374", "description_html": "", "title": "Adding decimals example 2", "progress_key": "vxbcb2a374", "edit_slug": "edit/v/xbcb2a374", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.m3u8/ErHFQUhZ94I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ErHFQUhZ94I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbcb2a374", "sha": "f283a11471afa08f1ad0e53bdfb82f1a01f7514c", "translated_description": "", "image_url": "https://img.youtube.com/vi/ErHFQUhZ94I/hqdefault.jpg", "youtube_id": "ErHFQUhZ94I", "content_kind": "Video", "readable_id": "adding-decimals-example-2"}, {"translated_youtube_id": "w616LEmrHVE", "relative_url": "/video/adding-decimals", "has_questions": false, "keywords": "U03_L2_T1_we1, Adding, Decimals", "ka_url": "http://www.khanacademy.org/video/adding-decimals", "duration": 165, "translated_title": "Adding decimals example 3", "translated_description_html": "Adding Decimals", "id": "4802227", "description_html": "Adding Decimals", "title": "Adding decimals example 3", "progress_key": "v4802227", "edit_slug": "edit/v/4802227", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Adding Decimals", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.m3u8/w616LEmrHVE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w616LEmrHVE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802227", "sha": "6b165ad8a825b168ab9a8185dd3168c6efaad9e6", "translated_description": "Adding Decimals", "image_url": "https://img.youtube.com/vi/w616LEmrHVE/hqdefault.jpg", "youtube_id": "w616LEmrHVE", "content_kind": "Video", "readable_id": "adding-decimals"}, {"translated_youtube_id": "Eq4mVCd-yyo", "relative_url": "/video/subtracting-decimals", "has_questions": false, "keywords": "U03_L2_T1_we2, Subtracting, Decimals", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals", "duration": 128, "translated_title": "Subtracting decimals", "translated_description_html": "Subtracting Decimals", "id": "4802228", "description_html": "Subtracting Decimals", "title": "Subtracting decimals", "progress_key": "v4802228", "edit_slug": "edit/v/4802228", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Subtracting Decimals", "extra_properties": null, "node_slug": "v/subtracting-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.m3u8/Eq4mVCd-yyo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Eq4mVCd-yyo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802228", "sha": "b4af13f046640b1231c96df2c05c32b574db6576", "translated_description": "Subtracting Decimals", "image_url": "https://img.youtube.com/vi/Eq4mVCd-yyo/hqdefault.jpg", "youtube_id": "Eq4mVCd-yyo", "content_kind": "Video", "readable_id": "subtracting-decimals"}], "twitter_url": "", "translated_description": "In this tutorial, you'll become fluent adding and subtracting decimals.\n\nCommon Core Standard: 6.NS.B.3\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, you'll become fluent adding and subtracting decimals.\n\nCommon Core Standard: 6.NS.B.3\t", "x_pos": 0.0, "node_slug": "cc-6th-add-sub-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3c729bd1", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-add-sub-decimals", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-add-sub-decimals", "slug": "cc-6th-add-sub-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8efe0e8f4997802c2e641075c2d35306018ec2b9", "standalone_title": "Adding and subtracting decimals", "y_pos": 0.0, "current_revision_key": "8efe0e8f4997802c2e641075c2d35306018ec2b9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-multiplying-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-multiplying-decimals", "translated_standalone_title": "Multiplying decimals", "translated_title": "Multiplying decimals", "gplus_url": "", "id": "x68548717", "old_key_name": null, "hide": false, "title": "Multiplying decimals", "child_data": [{"kind": "Video", "id": 1812}, {"kind": "Video", "id": 1817}, {"kind": "Video", "id": 23838}, {"kind": "Exercise", "id": 2010}], "children": [{"translated_youtube_id": "JEHejQphIYc", "relative_url": "/video/multiplying-decimals", "has_questions": false, "keywords": "U03_L2_T2_we1, Multiplying, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplying-decimals", "duration": 172, "translated_title": "Multiplying decimals", "translated_description_html": "Multiplying Decimals", "id": "1812", "description_html": "Multiplying Decimals", "title": "Multiplying decimals", "progress_key": "v1812", "edit_slug": "edit/v/1812", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals", "extra_properties": null, "node_slug": "v/multiplying-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.m3u8/JEHejQphIYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JEHejQphIYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1812", "sha": "1c25c3d826649e85b21ee1dab7e3cb64f7f6a1b7", "translated_description": "Multiplying Decimals", "image_url": "https://img.youtube.com/vi/JEHejQphIYc/hqdefault.jpg", "youtube_id": "JEHejQphIYc", "content_kind": "Video", "readable_id": "multiplying-decimals"}, {"translated_youtube_id": "W7dImsrVa0Y", "relative_url": "/video/mulitplyling-decimals-3", "has_questions": false, "keywords": "U03_L2_T2_we5, Mulitplyling, Decimals, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplyling-decimals-3", "duration": 152, "translated_title": "Multiplying decimals example 2", "translated_description_html": "Multiplying Decimals 3", "id": "1817", "description_html": "Multiplying Decimals 3", "title": "Multiplying decimals example 2", "progress_key": "v1817", "edit_slug": "edit/v/1817", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals 3", "extra_properties": null, "node_slug": "v/mulitplyling-decimals-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.m3u8/W7dImsrVa0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7dImsrVa0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1817", "sha": "aa22a966e604ace5beb9d1920ac11cb9eacf587e", "translated_description": "Multiplying Decimals 3", "image_url": "https://img.youtube.com/vi/W7dImsrVa0Y/hqdefault.jpg", "youtube_id": "W7dImsrVa0Y", "content_kind": "Video", "readable_id": "mulitplyling-decimals-3"}, {"translated_youtube_id": "m5z6pOsxF_8", "relative_url": "/video/mulitplication-8--multiplying-decimals--old-video", "has_questions": false, "keywords": "Multiplication, decimals, khan, academy, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplication-8--multiplying-decimals--old-video", "duration": 584, "translated_title": "Multiple examples multiplying decimals", "translated_description_html": "Multiplying decimals (www.khanacademy.org)", "id": "23838", "description_html": "Multiplying decimals (www.khanacademy.org)", "title": "Multiple examples multiplying decimals", "progress_key": "v23838", "edit_slug": "edit/v/23838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying decimals (www.khanacademy.org)", "extra_properties": null, "node_slug": "v/mulitplication-8--multiplying-decimals--old-video", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.m3u8/m5z6pOsxF_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5z6pOsxF_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23838", "sha": "72c7310312506ecdf81d650c246da38439006883", "translated_description": "Multiplying decimals (www.khanacademy.org)", "image_url": "https://img.youtube.com/vi/m5z6pOsxF_8/hqdefault.jpg", "youtube_id": "m5z6pOsxF_8", "content_kind": "Video", "readable_id": "mulitplication-8--multiplying-decimals--old-video"}], "twitter_url": "", "translated_description": "You've already multiplied decimals in the 5th grade. Now you'll become super good at it with a bit more practice!\n\nCommon Core Standard: 6.NS.B.3\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You've already multiplied decimals in the 5th grade. Now you'll become super good at it with a bit more practice!\n\nCommon Core Standard: 6.NS.B.3\t", "x_pos": 0.0, "node_slug": "cc-6th-multiplying-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68548717", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-multiplying-decimals", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-multiplying-decimals", "slug": "cc-6th-multiplying-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "37fe6bada86a2b4b1de3329097e81b70646f7aaf", "standalone_title": "Multiplying decimals", "y_pos": 0.0, "current_revision_key": "37fe6bada86a2b4b1de3329097e81b70646f7aaf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-division", "translated_standalone_title": "Division", "translated_title": "Dividing whole numbers and decimals", "gplus_url": "", "id": "xd406da61", "old_key_name": null, "hide": false, "title": "Dividing whole numbers and decimals", "child_data": [{"kind": "Video", "id": "x0cf3f261"}, {"kind": "Exercise", "id": 3009}, {"kind": "Exercise", "id": 2008}, {"kind": "Video", "id": "xb4d79b88"}, {"kind": "Exercise", "id": 642900605}, {"kind": "Video", "id": 1814}, {"kind": "Exercise", "id": 3025}], "children": [{"translated_youtube_id": "xXIG8ouHcsc", "relative_url": "/video/dividing-by-a-two-digit-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-by-a-two-digit-number", "duration": 169, "translated_title": "Dividing by a two digit number", "translated_description_html": "", "id": "x0cf3f261", "description_html": "", "title": "Dividing by a two digit number", "progress_key": "vx0cf3f261", "edit_slug": "edit/v/x0cf3f261", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-by-a-two-digit-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-18T00:54:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.m3u8/xXIG8ouHcsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xXIG8ouHcsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0cf3f261", "sha": "94ac6f19869edba74810694aa18b1921dfd58d04", "translated_description": "", "image_url": "https://img.youtube.com/vi/xXIG8ouHcsc/hqdefault.jpg", "youtube_id": "xXIG8ouHcsc", "content_kind": "Video", "readable_id": "dividing-by-a-two-digit-number"}, {"translated_youtube_id": "xUDlKV8lJbM", "relative_url": "/video/dividing-completely-to-get-decimal-answer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-completely-to-get-decimal-answer", "duration": 157, "translated_title": "Dividing completely to get decimal answer", "translated_description_html": "", "id": "xb4d79b88", "description_html": "", "title": "Dividing completely to get decimal answer", "progress_key": "vxb4d79b88", "edit_slug": "edit/v/xb4d79b88", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-completely-to-get-decimal-answer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.m3u8/xUDlKV8lJbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xUDlKV8lJbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb4d79b88", "sha": "2069477019d72ab58d183a485bc09b4477c04f0d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xUDlKV8lJbM/hqdefault.jpg", "youtube_id": "xUDlKV8lJbM", "content_kind": "Video", "readable_id": "dividing-completely-to-get-decimal-answer"}, {"translated_youtube_id": "Nqts8zW8RxM", "relative_url": "/video/dividing-decimals", "has_questions": false, "keywords": "U03_L2_T2_we3, Dividing, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimals", "duration": 332, "translated_title": "Dividing decimals", "translated_description_html": "Dividing Decimals", "id": "1814", "description_html": "Dividing Decimals", "title": "Dividing decimals", "progress_key": "v1814", "edit_slug": "edit/v/1814", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing Decimals", "extra_properties": null, "node_slug": "v/dividing-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.m3u8/Nqts8zW8RxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nqts8zW8RxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1814", "sha": "0b0b90e241ec7745361449dcecd423c144ad06bf", "translated_description": "Dividing Decimals", "image_url": "https://img.youtube.com/vi/Nqts8zW8RxM/hqdefault.jpg", "youtube_id": "Nqts8zW8RxM", "content_kind": "Video", "readable_id": "dividing-decimals"}], "twitter_url": "", "translated_description": "After this tutorial, you know how to divide any positive number by any other. Pretty exciting.. eh?!\n\nCommon Core Standards: 6.NS.B.2, 6.NS.B.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "After this tutorial, you know how to divide any positive number by any other. Pretty exciting.. eh?!\n\nCommon Core Standards: 6.NS.B.2, 6.NS.B.3", "x_pos": 0.0, "node_slug": "cc-6th-division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd406da61", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-division", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-division", "slug": "cc-6th-division", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "28d7454e13523a7a22c65b0543e8bf85d5bbe119", "standalone_title": "Division", "y_pos": 0.0, "current_revision_key": "28d7454e13523a7a22c65b0543e8bf85d5bbe119", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions", "translated_standalone_title": "Dividing fractions by fractions", "translated_title": "Dividing fractions by fractions", "gplus_url": "", "id": "x75904924", "old_key_name": null, "hide": false, "title": "Dividing fractions by fractions", "child_data": [{"kind": "Video", "id": "x32074d93"}, {"kind": "Video", "id": "xedf0d036"}, {"kind": "Video", "id": 2600767}, {"kind": "Exercise", "id": 537154517}, {"kind": "Exercise", "id": 3015}, {"kind": "Exercise", "id": "x273a2621"}, {"kind": "Video", "id": 2600764}, {"kind": "Video", "id": "xa415219d"}, {"kind": "Exercise", "id": "x4a42576d"}], "children": [{"translated_youtube_id": "xoXYirs2Mzw", "relative_url": "/video/dividing-a-whole-number-by-a-fraction-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-whole-number-by-a-fraction-word-problem", "duration": 152, "translated_title": "Putting out bowls of potpurri", "translated_description_html": "", "id": "x32074d93", "description_html": "", "title": "Putting out bowls of potpurri", "progress_key": "vx32074d93", "edit_slug": "edit/v/x32074d93", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-whole-number-by-a-fraction-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-09T17:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.m3u8/xoXYirs2Mzw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xoXYirs2Mzw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx32074d93", "sha": "4d14acdcdc9a22fc70469829c3108a1046e55537", "translated_description": "", "image_url": "https://img.youtube.com/vi/xoXYirs2Mzw/hqdefault.jpg", "youtube_id": "xoXYirs2Mzw", "content_kind": "Video", "readable_id": "dividing-a-whole-number-by-a-fraction-word-problem"}, {"translated_youtube_id": "yb7lVnY_VCY", "relative_url": "/video/dividing-a-fraction-by-a-whole-number-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-fraction-by-a-whole-number-word-problem", "duration": 155, "translated_title": "Spending the weekend studying", "translated_description_html": "", "id": "xedf0d036", "description_html": "", "title": "Spending the weekend studying", "progress_key": "vxedf0d036", "edit_slug": "edit/v/xedf0d036", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-fraction-by-a-whole-number-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T17:49:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.m3u8/yb7lVnY_VCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yb7lVnY_VCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedf0d036", "sha": "0d6e129a524eb78cec7cebd1742fdacd41f6d96c", "translated_description": "", "image_url": "https://img.youtube.com/vi/yb7lVnY_VCY/hqdefault.jpg", "youtube_id": "yb7lVnY_VCY", "content_kind": "Video", "readable_id": "dividing-a-fraction-by-a-whole-number-word-problem"}, {"translated_youtube_id": "PQsgXNggV7Q", "relative_url": "/video/dividing-fractions-word-problem", "has_questions": false, "keywords": "U02_L2_T3_we5, Dividing, Fractions, Word, Problem", "ka_url": "http://www.khanacademy.org/video/dividing-fractions-word-problem", "duration": 128, "translated_title": "How many t-shirts can I make?", "translated_description_html": "

Dividing Fractions Word Problem<\/p>\n", "id": "2600767", "description_html": "

Dividing Fractions Word Problem<\/p>\n", "title": "How many t-shirts can I make?", "progress_key": "v2600767", "edit_slug": "edit/v/2600767", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Fractions Word Problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-fractions-word-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.m3u8/PQsgXNggV7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PQsgXNggV7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600767", "sha": "3ea7253be5ddc19f8bc32190ff43209db5ecb767", "translated_description": "Dividing Fractions Word Problem\n", "image_url": "https://img.youtube.com/vi/PQsgXNggV7Q/hqdefault.jpg", "youtube_id": "PQsgXNggV7Q", "content_kind": "Video", "readable_id": "dividing-fractions-word-problem"}, {"translated_youtube_id": "tnkPY4UqJ44", "relative_url": "/video/dividing-fractions-example", "has_questions": false, "keywords": "U02_L2_T3_we2, Dividing, Fractions, CC_5_NF_7, CC_6_NS_1, CC_7_NS_2, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/dividing-fractions-example", "duration": 216, "translated_title": "Dividing fractions example", "translated_description_html": "Dividing Fractions", "id": "2600764", "description_html": "Dividing Fractions", "title": "Dividing fractions example", "progress_key": "v2600764", "edit_slug": "edit/v/2600764", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Fractions", "extra_properties": null, "node_slug": "v/dividing-fractions-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.m3u8/tnkPY4UqJ44.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tnkPY4UqJ44&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600764", "sha": "a7f83f642bd1e07392ce3fa4f71ecbc82755636c", "translated_description": "Dividing Fractions", "image_url": "https://img.youtube.com/vi/tnkPY4UqJ44/hqdefault.jpg", "youtube_id": "tnkPY4UqJ44", "content_kind": "Video", "readable_id": "dividing-fractions-example"}, {"translated_youtube_id": "f3ySpxX9oeM", "relative_url": "/video/conceptual-understanding-of-dividing-fractions-by-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conceptual-understanding-of-dividing-fractions-by-fractions", "duration": 342, "translated_title": "Conceptual understanding of dividing fractions by fractions", "translated_description_html": "", "id": "xa415219d", "description_html": "", "title": "Conceptual understanding of dividing fractions by fractions", "progress_key": "vxa415219d", "edit_slug": "edit/v/xa415219d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/conceptual-understanding-of-dividing-fractions-by-fractions", "deleted": false, "backup_timestamp": "2013-10-26T00:20:42Z", "date_added": "2013-10-26T00:20:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f3ySpxX9oeM.mp4/f3ySpxX9oeM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f3ySpxX9oeM.mp4/f3ySpxX9oeM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f3ySpxX9oeM.m3u8/f3ySpxX9oeM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f3ySpxX9oeM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa415219d", "sha": "df4b99b9e3d3643878a1d4a514c8684405bb8006", "translated_description": "", "image_url": "https://img.youtube.com/vi/f3ySpxX9oeM/hqdefault.jpg", "youtube_id": "f3ySpxX9oeM", "content_kind": "Video", "readable_id": "conceptual-understanding-of-dividing-fractions-by-fractions"}], "twitter_url": "", "translated_description": "We're now ready to get some solid practice dividing fractions by fractions.\n\nCommon Core Standard: 6.NS.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We're now ready to get some solid practice dividing fractions by fractions.\n\nCommon Core Standard: 6.NS.A.1", "x_pos": 0.0, "node_slug": "cc-6th-dividing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75904924", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions", "slug": "cc-6th-dividing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "42233ad3d3661476a0d1851786f34c0b7bb77e6f", "standalone_title": "Dividing fractions by fractions", "y_pos": 0.0, "current_revision_key": "42233ad3d3661476a0d1851786f34c0b7bb77e6f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents", "translated_standalone_title": "Exponents", "translated_title": "Exponents", "gplus_url": "", "id": "xeee740b6", "old_key_name": null, "hide": false, "title": "Exponents", "child_data": [{"kind": "Video", "id": "xfe1a8e1f"}], "children": [{"translated_youtube_id": "XZRQhkii0h0", "relative_url": "/video/introduction-to-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-exponents", "duration": 183, "translated_title": "Introduction to exponents", "translated_description_html": "", "id": "xfe1a8e1f", "description_html": "", "title": "Introduction to exponents", "progress_key": "vxfe1a8e1f", "edit_slug": "edit/v/xfe1a8e1f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-exponents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.m3u8/XZRQhkii0h0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XZRQhkii0h0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe1a8e1f", "sha": "23d5fb729c0c19ab5c67df358ea5ddf546169244", "translated_description": "", "image_url": "https://img.youtube.com/vi/XZRQhkii0h0/hqdefault.jpg", "youtube_id": "XZRQhkii0h0", "content_kind": "Video", "readable_id": "introduction-to-exponents"}], "twitter_url": "", "translated_description": "In 3rd grade, you learned that there is an easier way to write \"5+5+5\". You saw that 5+5+5=3x5.\n\nBut is there an easier way to write repeated multiplication (like \"5x5x5\")? Absolutely! That's exactly what exponents are for!\n\nCommon Core Standard: 6.EE.A.1\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In 3rd grade, you learned that there is an easier way to write \"5+5+5\". You saw that 5+5+5=3x5.\n\nBut is there an easier way to write repeated multiplication (like \"5x5x5\")? Absolutely! That's exactly what exponents are for!\n\nCommon Core Standard: 6.EE.A.1\t", "x_pos": 0.0, "node_slug": "cc-6th-exponents", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeee740b6", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents", "slug": "cc-6th-exponents", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "08f166719d5a38ca0af7a26966918cb3466e5cb8", "standalone_title": "Exponents", "y_pos": 0.0, "current_revision_key": "08f166719d5a38ca0af7a26966918cb3466e5cb8", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-arithmetic-operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf5815416", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-arithmetic-operations", "extended_slug": "math/cc-sixth-grade-math/cc-6th-arithmetic-operations", "slug": "cc-6th-arithmetic-operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "46fba298ea790e9a023baaffb9fb5b2b2e29afce", "standalone_title": "Arithmetic operations", "y_pos": 0.0, "current_revision_key": "46fba298ea790e9a023baaffb9fb5b2b2e29afce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic", "translated_standalone_title": "Negative numbers", "translated_title": "Negative numbers", "gplus_url": "", "id": "x347111cf", "old_key_name": null, "hide": false, "title": "Negative numbers", "child_data": [{"kind": "Topic", "id": "x7364f2ac"}, {"kind": "Topic", "id": "xc1404ea3"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-negatives", "translated_standalone_title": "Negative number basics", "translated_title": "Negative number basics", "gplus_url": "", "id": "x7364f2ac", "old_key_name": null, "hide": false, "title": "Negative number basics", "child_data": [{"kind": "Video", "id": 19647488}, {"kind": "Exercise", "id": 265365034}, {"kind": "Video", "id": "x0546ae25"}, {"kind": "Exercise", "id": 357396312}, {"kind": "Video", "id": 211177353}, {"kind": "Exercise", "id": 205304798}, {"kind": "Exercise", "id": "xf9bcac7c"}], "children": [{"translated_youtube_id": "Hlal9ME2Aig", "relative_url": "/video/negative-numbers-introduction", "has_questions": false, "keywords": "Negative, Numbers, Introduction, CC_6_NS_5, CC_6_NS_7_a, CC_6_NS_7_b", "ka_url": "http://www.khanacademy.org/video/negative-numbers-introduction", "duration": 576, "translated_title": "Negative numbers introduction", "translated_description_html": null, "id": "19647488", "description_html": null, "title": "Negative numbers introduction", "progress_key": "v19647488", "edit_slug": "edit/v/19647488", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": null, "extra_properties": null, "node_slug": "v/negative-numbers-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:51:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.m3u8/Hlal9ME2Aig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hlal9ME2Aig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v19647488", "sha": "9d4f282a6b813f72503a105cf767062a7e3d4b72", "translated_description": null, "image_url": "https://img.youtube.com/vi/Hlal9ME2Aig/hqdefault.jpg", "youtube_id": "Hlal9ME2Aig", "content_kind": "Video", "readable_id": "negative-numbers-introduction"}, {"translated_youtube_id": "khwsah_svW8", "relative_url": "/video/number-line-3-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-line-3-exercise-example", "duration": 188, "translated_title": "Number line 3 exercise examples", "translated_description_html": "


<\/p>", "id": "x0546ae25", "description_html": "


<\/p>", "title": "Number line 3 exercise examples", "progress_key": "vx0546ae25", "edit_slug": "edit/v/x0546ae25", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-line-3-exercise-example", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-10-01T16:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.mp4/khwsah_svW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.mp4/khwsah_svW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.m3u8/khwsah_svW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=khwsah_svW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0546ae25", "sha": "9752bffa9d6c2f2163b00c313c17967ff68da2e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/khwsah_svW8/hqdefault.jpg", "youtube_id": "khwsah_svW8", "content_kind": "Video", "readable_id": "number-line-3-exercise-example"}, {"translated_youtube_id": "VW6UrPKPInA", "relative_url": "/video/ordering-negative-numbers", "has_questions": false, "keywords": "negative, integer", "ka_url": "http://www.khanacademy.org/video/ordering-negative-numbers", "duration": 167, "translated_title": "Ordering negative numbers", "translated_description_html": "Ordering negative numbers from least to greatest", "id": "211177353", "description_html": "Ordering negative numbers from least to greatest", "title": "Ordering negative numbers", "progress_key": "v211177353", "edit_slug": "edit/v/211177353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Ordering negative numbers from least to greatest", "extra_properties": null, "node_slug": "v/ordering-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.mp4/VW6UrPKPInA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.mp4/VW6UrPKPInA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.m3u8/VW6UrPKPInA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VW6UrPKPInA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177353", "sha": "b96356acecf791d2f93f7d383c3c5259a64a0e87", "translated_description": "Ordering negative numbers from least to greatest", "image_url": "https://img.youtube.com/vi/VW6UrPKPInA/hqdefault.jpg", "youtube_id": "VW6UrPKPInA", "content_kind": "Video", "readable_id": "ordering-negative-numbers"}], "twitter_url": "", "translated_description": "What is a \"negative number\"? In this tutorial, you'll learn about what happens in the world below zero!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6a, 6.NS.C.6c\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What is a \"negative number\"? In this tutorial, you'll learn about what happens in the world below zero!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6a, 6.NS.C.6c\t", "x_pos": 0.0, "node_slug": "cc-6th-negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7364f2ac", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-negatives", "extended_slug": "math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-negatives", "slug": "cc-6th-negatives", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ba46567b3dd08d2eb54115b48ada260fd75cd7c2", "standalone_title": "Negative number basics", "y_pos": 0.0, "current_revision_key": "ba46567b3dd08d2eb54115b48ada260fd75cd7c2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value", "translated_standalone_title": "Absolute value", "translated_title": "Absolute value", "gplus_url": "", "id": "xc1404ea3", "old_key_name": null, "hide": false, "title": "Absolute value", "child_data": [{"kind": "Video", "id": 2344592}, {"kind": "Video", "id": 26784}, {"kind": "Exercise", "id": 12293397}, {"kind": "Video", "id": 13179307}, {"kind": "Video", "id": 211177352}, {"kind": "Exercise", "id": 205349198}, {"kind": "Video", "id": "x7fd5c099"}, {"kind": "Exercise", "id": "xfa322e7b"}], "children": [{"translated_youtube_id": "frBJEYvyd-8", "relative_url": "/video/absolute-value-and-number-lines", "has_questions": false, "keywords": "Absolute, Value, and, Number, Lines, CC_6_NS_7, CC_6_NS_7_a, CC_6_NS_7_b, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-and-number-lines", "duration": 339, "translated_title": "Absolute value and number lines", "translated_description_html": "Absolute Value and Number Lines", "id": "2344592", "description_html": "Absolute Value and Number Lines", "title": "Absolute value and number lines", "progress_key": "v2344592", "edit_slug": "edit/v/2344592", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Absolute Value and Number Lines", "extra_properties": null, "node_slug": "v/absolute-value-and-number-lines", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.m3u8/frBJEYvyd-8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=frBJEYvyd-8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2344592", "sha": "f34605ef4416860524fbdbcb058dc38b911f586c", "translated_description": "Absolute Value and Number Lines", "image_url": "https://img.youtube.com/vi/frBJEYvyd-8/hqdefault.jpg", "youtube_id": "frBJEYvyd-8", "content_kind": "Video", "readable_id": "absolute-value-and-number-lines"}, {"translated_youtube_id": "NvGTCzAfvr0", "relative_url": "/video/absolute-value-1", "has_questions": false, "keywords": "U02_L2_T1_we2, Absolute, Value, CC_6_NS_7, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-1", "duration": 202, "translated_title": "Absolute value 1", "translated_description_html": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "id": "26784", "description_html": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "title": "Absolute value 1", "progress_key": "v26784", "edit_slug": "edit/v/26784", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "extra_properties": null, "node_slug": "v/absolute-value-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.mp4/NvGTCzAfvr0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.mp4/NvGTCzAfvr0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.m3u8/NvGTCzAfvr0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NvGTCzAfvr0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26784", "sha": "2c9312341c9dd4556339883508161c9baf0efc2e", "translated_description": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "image_url": "https://img.youtube.com/vi/NvGTCzAfvr0/hqdefault.jpg", "youtube_id": "NvGTCzAfvr0", "content_kind": "Video", "readable_id": "absolute-value-1"}, {"translated_youtube_id": "r6hS_8nm1jM", "relative_url": "/video/absolute-value-of-integers", "has_questions": false, "keywords": "U09_L1_T2_we2, Absolute, Value, of, Integers, CC_6_NS_7, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-of-integers", "duration": 142, "translated_title": "Absolute value of integers", "translated_description_html": "Absolute Value of Integers", "id": "13179307", "description_html": "Absolute Value of Integers", "title": "Absolute value of integers", "progress_key": "v13179307", "edit_slug": "edit/v/13179307", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute Value of Integers", "extra_properties": null, "node_slug": "v/absolute-value-of-integers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.mp4/r6hS_8nm1jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.mp4/r6hS_8nm1jM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.m3u8/r6hS_8nm1jM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r6hS_8nm1jM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179307", "sha": "5d5ba7240e86e912478fb15036184b49de77ef06", "translated_description": "Absolute Value of Integers", "image_url": "https://img.youtube.com/vi/r6hS_8nm1jM/hqdefault.jpg", "youtube_id": "r6hS_8nm1jM", "content_kind": "Video", "readable_id": "absolute-value-of-integers"}, {"translated_youtube_id": "hKkBlcnU9pw", "relative_url": "/video/comparing-absolute-values", "has_questions": false, "keywords": "finance, education, absolute, values", "ka_url": "http://www.khanacademy.org/video/comparing-absolute-values", "duration": 247, "translated_title": "Comparing absolute values", "translated_description_html": "Evaluating and comparing absolute values", "id": "211177352", "description_html": "Evaluating and comparing absolute values", "title": "Comparing absolute values", "progress_key": "v211177352", "edit_slug": "edit/v/211177352", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Evaluating and comparing absolute values", "extra_properties": null, "node_slug": "v/comparing-absolute-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.m3u8/hKkBlcnU9pw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hKkBlcnU9pw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177352", "sha": "1462808ebf5d3cc899c05b221373e672ad6e094f", "translated_description": "Evaluating and comparing absolute values", "image_url": "https://img.youtube.com/vi/hKkBlcnU9pw/hqdefault.jpg", "youtube_id": "hKkBlcnU9pw", "content_kind": "Video", "readable_id": "comparing-absolute-values"}, {"translated_youtube_id": "Ig7RSc-93Bs", "relative_url": "/video/absolute-value-word-problems-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/absolute-value-word-problems-exercise", "duration": 232, "translated_title": "Absolute value word problems exercise", "translated_description_html": "", "id": "x7fd5c099", "description_html": "", "title": "Absolute value word problems exercise", "progress_key": "vx7fd5c099", "edit_slug": "edit/v/x7fd5c099", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/absolute-value-word-problems-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.mp4/Ig7RSc-93Bs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.mp4/Ig7RSc-93Bs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.m3u8/Ig7RSc-93Bs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ig7RSc-93Bs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7fd5c099", "sha": "98be0c3f782353256c8c3fcfd435433fd14a1406", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ig7RSc-93Bs/hqdefault.jpg", "youtube_id": "Ig7RSc-93Bs", "content_kind": "Video", "readable_id": "absolute-value-word-problems-exercise"}], "twitter_url": "", "translated_description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero\". If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. As you see as you develop mathematically, this idea will eventually extended to more contexts and dimensions, so super important that you understand this core concept now.\n\nCommon Core Standards: 6.NS.C.7, 6.NS.C.7c, 6.NS.C.7d\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero\". If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. As you see as you develop mathematically, this idea will eventually extended to more contexts and dimensions, so super important that you understand this core concept now.\n\nCommon Core Standards: 6.NS.C.7, 6.NS.C.7c, 6.NS.C.7d\t", "x_pos": 0.0, "node_slug": "cc-6th-absolute-value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1404ea3", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value", "extended_slug": "math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value", "slug": "cc-6th-absolute-value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "467e8d1b19258dfa6d4564d054772108b0bd25e6", "standalone_title": "Absolute value", "y_pos": 0.0, "current_revision_key": "467e8d1b19258dfa6d4564d054772108b0bd25e6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-negative-number-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax347111cf", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-negative-number-topic", "extended_slug": "math/cc-sixth-grade-math/cc-6th-negative-number-topic", "slug": "cc-6th-negative-number-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "acdbaa894ebfe49bdac7f223512391236e6d597b", "standalone_title": "Negative numbers", "y_pos": 0.0, "current_revision_key": "acdbaa894ebfe49bdac7f223512391236e6d597b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples", "translated_standalone_title": "Factors and multiples", "translated_title": "Factors and multiples", "gplus_url": "", "id": "x673b532f", "old_key_name": null, "hide": false, "title": "Factors and multiples", "child_data": [{"kind": "Topic", "id": "x75c74d07"}, {"kind": "Topic", "id": "x9243ea8a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-lcm", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-lcm", "translated_standalone_title": "Least common multiple", "translated_title": "Least common multiple", "gplus_url": "", "id": "x75c74d07", "old_key_name": null, "hide": false, "title": "Least common multiple", "child_data": [{"kind": "Video", "id": "x19e7b12a"}, {"kind": "Video", "id": "xafe97682"}, {"kind": "Video", "id": 158925086}, {"kind": "Exercise", "id": 2019}], "children": [{"translated_youtube_id": "znmPfDfsir8", "relative_url": "/video/least-common-multiple-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/least-common-multiple-exercise", "duration": 256, "translated_title": "Least common multiple exercise", "translated_description_html": "", "id": "x19e7b12a", "description_html": "", "title": "Least common multiple exercise", "progress_key": "vx19e7b12a", "edit_slug": "edit/v/x19e7b12a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/least-common-multiple-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T00:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.mp4/znmPfDfsir8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.mp4/znmPfDfsir8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.m3u8/znmPfDfsir8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znmPfDfsir8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19e7b12a", "sha": "417bc1dc1aec56b19430f125481e8cfe4196b1f0", "translated_description": "", "image_url": "https://img.youtube.com/vi/znmPfDfsir8/hqdefault.jpg", "youtube_id": "znmPfDfsir8", "content_kind": "Video", "readable_id": "least-common-multiple-exercise"}, {"translated_youtube_id": "QUem_2dkB9I", "relative_url": "/video/least-common-multiple-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/least-common-multiple-exercise-2", "duration": 155, "translated_title": "Least common multiple exercise 2", "translated_description_html": "", "id": "xafe97682", "description_html": "", "title": "Least common multiple exercise 2", "progress_key": "vxafe97682", "edit_slug": "edit/v/xafe97682", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/least-common-multiple-exercise-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T00:52:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.mp4/QUem_2dkB9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.mp4/QUem_2dkB9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.m3u8/QUem_2dkB9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QUem_2dkB9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxafe97682", "sha": "9178dce90e054ab5bae40371a95e353d3a9c8072", "translated_description": "", "image_url": "https://img.youtube.com/vi/QUem_2dkB9I/hqdefault.jpg", "youtube_id": "QUem_2dkB9I", "content_kind": "Video", "readable_id": "least-common-multiple-exercise-2"}, {"translated_youtube_id": "D6yHKOYJiso", "relative_url": "/video/least-common-multiple--lcm", "has_questions": false, "keywords": "U02_L3_T1_we6, Least, Common, Multiple, (LCM)", "ka_url": "http://www.khanacademy.org/video/least-common-multiple--lcm", "duration": 324, "translated_title": "Least common multiple (LCM)", "translated_description_html": "Least Common Multiple (LCM)", "id": "158925086", "description_html": "Least Common Multiple (LCM)", "title": "Least common multiple (LCM)", "progress_key": "v158925086", "edit_slug": "edit/v/158925086", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Least Common Multiple (LCM)", "extra_properties": null, "node_slug": "v/least-common-multiple--lcm", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.mp4/D6yHKOYJiso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.mp4/D6yHKOYJiso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.m3u8/D6yHKOYJiso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D6yHKOYJiso&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925086", "sha": "862cb4bd4eec90dc3c542259a83b61fd47334c80", "translated_description": "Least Common Multiple (LCM)", "image_url": "https://img.youtube.com/vi/D6yHKOYJiso/hqdefault.jpg", "youtube_id": "D6yHKOYJiso", "content_kind": "Video", "readable_id": "least-common-multiple--lcm"}], "twitter_url": "", "translated_description": "Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.\n\nCommon Core Standard: 6.NS.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.\n\nCommon Core Standard: 6.NS.B.4", "x_pos": 0.0, "node_slug": "cc-6th-lcm", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75c74d07", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-lcm", "extended_slug": "math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-lcm", "slug": "cc-6th-lcm", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4892f5a14d717fc4b93b4ab5811623cebbb26824", "standalone_title": "Least common multiple", "y_pos": 0.0, "current_revision_key": "4892f5a14d717fc4b93b4ab5811623cebbb26824", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-gcf", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-gcf", "translated_standalone_title": "Greatest common factor", "translated_title": "Greatest common factor", "gplus_url": "", "id": "x9243ea8a", "old_key_name": null, "hide": false, "title": "Greatest common factor", "child_data": [{"kind": "Video", "id": "x0fbf66ba"}, {"kind": "Video", "id": 23860}, {"kind": "Exercise", "id": 2018}, {"kind": "Video", "id": "x59fe3ed2"}, {"kind": "Exercise", "id": 449514451}], "children": [{"translated_youtube_id": "bLTfBvkrfsM", "relative_url": "/video/greatest-common-divisor-factor-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/greatest-common-divisor-factor-exercise", "duration": 410, "translated_title": "Greatest common divisor factor exercise", "translated_description_html": "", "id": "x0fbf66ba", "description_html": "", "title": "Greatest common divisor factor exercise", "progress_key": "vx0fbf66ba", "edit_slug": "edit/v/x0fbf66ba", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/greatest-common-divisor-factor-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-25T00:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.mp4/bLTfBvkrfsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.mp4/bLTfBvkrfsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.m3u8/bLTfBvkrfsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bLTfBvkrfsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0fbf66ba", "sha": "5b9def1b6f891b3ac16bdfddaf8e0761674e11eb", "translated_description": "", "image_url": "https://img.youtube.com/vi/bLTfBvkrfsM/hqdefault.jpg", "youtube_id": "bLTfBvkrfsM", "content_kind": "Video", "readable_id": "greatest-common-divisor-factor-exercise"}, {"translated_youtube_id": "jFd-6EPfnec", "relative_url": "/video/greatest-common-divisor", "has_questions": false, "keywords": "math, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/greatest-common-divisor", "duration": 378, "translated_title": "Greatest common divisor", "translated_description_html": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "id": "23860", "description_html": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "title": "Greatest common divisor", "progress_key": "v23860", "edit_slug": "edit/v/23860", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "extra_properties": null, "node_slug": "v/greatest-common-divisor", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.mp4/jFd-6EPfnec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.mp4/jFd-6EPfnec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.m3u8/jFd-6EPfnec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFd-6EPfnec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23860", "sha": "8d7cf6cd6124c85529e1b9cb6c61be8ebb7ed720", "translated_description": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "image_url": "https://img.youtube.com/vi/jFd-6EPfnec/hqdefault.jpg", "youtube_id": "jFd-6EPfnec", "content_kind": "Video", "readable_id": "greatest-common-divisor"}, {"translated_youtube_id": "1Vb8t7Y-pI0", "relative_url": "/video/lcm-and-gcf-greatest-common-factor--word-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lcm-and-gcf-greatest-common-factor--word-problems", "duration": 514, "translated_title": "LCM and GCF (greatest common factor) word problems", "translated_description_html": "", "id": "x59fe3ed2", "description_html": "", "title": "LCM and GCF (greatest common factor) word problems", "progress_key": "vx59fe3ed2", "edit_slug": "edit/v/x59fe3ed2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/lcm-and-gcf-greatest-common-factor--word-problems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-25T00:52:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.mp4/1Vb8t7Y-pI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.mp4/1Vb8t7Y-pI0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.m3u8/1Vb8t7Y-pI0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Vb8t7Y-pI0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx59fe3ed2", "sha": "7d975722a85987818ca895272ba015f2730c9582", "translated_description": "", "image_url": "https://img.youtube.com/vi/1Vb8t7Y-pI0/hqdefault.jpg", "youtube_id": "1Vb8t7Y-pI0", "content_kind": "Video", "readable_id": "lcm-and-gcf-greatest-common-factor--word-problems"}], "twitter_url": "", "translated_description": "You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!\n\nCommon Core Standard: 6.NS.B.4\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!\n\nCommon Core Standard: 6.NS.B.4\t", "x_pos": 0.0, "node_slug": "cc-6th-gcf", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9243ea8a", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-gcf", "extended_slug": "math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-gcf", "slug": "cc-6th-gcf", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6fa4ed845439eea915c1ba06b77dd270959a0606", "standalone_title": "Greatest common factor", "y_pos": 0.0, "current_revision_key": "6fa4ed845439eea915c1ba06b77dd270959a0606", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-factors-and-multiples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax673b532f", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-factors-and-multiples", "extended_slug": "math/cc-sixth-grade-math/cc-6th-factors-and-multiples", "slug": "cc-6th-factors-and-multiples", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f6bccdde2dedadea11b22cd6d887dc93d939fd5b", "standalone_title": "Factors and multiples", "y_pos": 0.0, "current_revision_key": "f6bccdde2dedadea11b22cd6d887dc93d939fd5b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "xfa626edb", "old_key_name": null, "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "xafc39668"}, {"kind": "Topic", "id": "x4d56a2fa"}, {"kind": "Topic", "id": "xe36b3b1a"}, {"kind": "Topic", "id": "x2a3517cb"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane", "translated_standalone_title": "Coordinate plane", "translated_title": "Coordinate plane", "gplus_url": "", "id": "xafc39668", "old_key_name": null, "hide": false, "title": "Coordinate plane", "child_data": [{"kind": "Video", "id": 23630}, {"kind": "Video", "id": 396277331}, {"kind": "Video", "id": 33752747}, {"kind": "Video", "id": "x02167ace"}, {"kind": "Exercise", "id": 342773513}, {"kind": "Video", "id": "x08d09f9d"}, {"kind": "Exercise", "id": 702001212}, {"kind": "Video", "id": "x52229838"}, {"kind": "Exercise", "id": "x9f1166e7"}, {"kind": "Video", "id": "x1d9ac087"}, {"kind": "Exercise", "id": "x1d5815bc"}], "children": [{"translated_youtube_id": "VhNkWdLGpmA", "relative_url": "/video/the-coordinate-plane", "has_questions": false, "keywords": "The, Coordinate, Plane, CC_6_G_3, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/the-coordinate-plane", "duration": 410, "translated_title": "The coordinate plane", "translated_description_html": null, "id": "23630", "description_html": null, "title": "The coordinate plane", "progress_key": "v23630", "edit_slug": "edit/v/23630", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/the-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.m3u8/VhNkWdLGpmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhNkWdLGpmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23630", "sha": "6b3ec50c22af3a8521e12973de857d75c9bba1cf", "translated_description": null, "image_url": "https://img.youtube.com/vi/VhNkWdLGpmA/hqdefault.jpg", "youtube_id": "VhNkWdLGpmA", "content_kind": "Video", "readable_id": "the-coordinate-plane"}, {"translated_youtube_id": "5ctsUsvIp8w", "relative_url": "/video/plot-ordered-pairs", "has_questions": false, "keywords": "u13_l1_t1_we1, Plot, ordered, pairs", "ka_url": "http://www.khanacademy.org/video/plot-ordered-pairs", "duration": 128, "translated_title": "Plot ordered pairs", "translated_description_html": "Plot ordered pairs", "id": "396277331", "description_html": "Plot ordered pairs", "title": "Plot ordered pairs", "progress_key": "v396277331", "edit_slug": "edit/v/396277331", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plot ordered pairs", "extra_properties": null, "node_slug": "v/plot-ordered-pairs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-22T11:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.m3u8/5ctsUsvIp8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ctsUsvIp8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v396277331", "sha": "f1924fb976ec501fd90e437896ec2baca767c480", "translated_description": "Plot ordered pairs", "image_url": "https://img.youtube.com/vi/5ctsUsvIp8w/hqdefault.jpg", "youtube_id": "5ctsUsvIp8w", "content_kind": "Video", "readable_id": "plot-ordered-pairs"}, {"translated_youtube_id": "1op92ojA6q0", "relative_url": "/video/quadrants-of-coordinate-plane", "has_questions": false, "keywords": "u13_l1_t1_we2, Quadrants, of, Coordinate, Plane, CC_6_NS_6, CC_6_NS_6_b, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/quadrants-of-coordinate-plane", "duration": 144, "translated_title": "Quadrants of coordinate plane", "translated_description_html": "Quadrants of Coordinate Plane", "id": "33752747", "description_html": "Quadrants of Coordinate Plane", "title": "Quadrants of coordinate plane", "progress_key": "v33752747", "edit_slug": "edit/v/33752747", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrants of Coordinate Plane", "extra_properties": null, "node_slug": "v/quadrants-of-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.m3u8/1op92ojA6q0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1op92ojA6q0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752747", "sha": "26459ed73d5318f59c643793fd87f9c9d48da2df", "translated_description": "Quadrants of Coordinate Plane", "image_url": "https://img.youtube.com/vi/1op92ojA6q0/hqdefault.jpg", "youtube_id": "1op92ojA6q0", "content_kind": "Video", "readable_id": "quadrants-of-coordinate-plane"}, {"translated_youtube_id": "Jeh5vudjmLI", "relative_url": "/video/graphing-points-and-naming-quadrants-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-points-and-naming-quadrants-exercise", "duration": 116, "translated_title": "Graphing points and naming quadrants exercise", "translated_description_html": "", "id": "x02167ace", "description_html": "", "title": "Graphing points and naming quadrants exercise", "progress_key": "vx02167ace", "edit_slug": "edit/v/x02167ace", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-points-and-naming-quadrants-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T21:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.mp4/Jeh5vudjmLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.mp4/Jeh5vudjmLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.m3u8/Jeh5vudjmLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jeh5vudjmLI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx02167ace", "sha": "988898c74a3c676176a43358e750beaa65a1cedd", "translated_description": "", "image_url": "https://img.youtube.com/vi/Jeh5vudjmLI/hqdefault.jpg", "youtube_id": "Jeh5vudjmLI", "content_kind": "Video", "readable_id": "graphing-points-and-naming-quadrants-exercise"}, {"translated_youtube_id": "b9H22F0Qbgw", "relative_url": "/video/points-on-the-coordinate-plane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/points-on-the-coordinate-plane", "duration": 63, "translated_title": "Points on the coordinate plane", "translated_description_html": "", "id": "x08d09f9d", "description_html": "", "title": "Points on the coordinate plane", "progress_key": "vx08d09f9d", "edit_slug": "edit/v/x08d09f9d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/points-on-the-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T21:12:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.mp4/b9H22F0Qbgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.mp4/b9H22F0Qbgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.m3u8/b9H22F0Qbgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b9H22F0Qbgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx08d09f9d", "sha": "4a25aafea66f95670af6635b1e00f5dbfa0d2f60", "translated_description": "", "image_url": "https://img.youtube.com/vi/b9H22F0Qbgw/hqdefault.jpg", "youtube_id": "b9H22F0Qbgw", "content_kind": "Video", "readable_id": "points-on-the-coordinate-plane"}, {"translated_youtube_id": "PC_FoyewoIs", "relative_url": "/video/coordinate-plane-word-problems-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/coordinate-plane-word-problems-exercise", "duration": 287, "translated_title": "Coordinate plane word problems exercise", "translated_description_html": "", "id": "x52229838", "description_html": "", "title": "Coordinate plane word problems exercise", "progress_key": "vx52229838", "edit_slug": "edit/v/x52229838", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/coordinate-plane-word-problems-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-16T21:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.mp4/PC_FoyewoIs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.mp4/PC_FoyewoIs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.m3u8/PC_FoyewoIs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PC_FoyewoIs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx52229838", "sha": "3a3530f1a1c4be81f50dbdae1468b3c9f87fa030", "translated_description": "", "image_url": "https://img.youtube.com/vi/PC_FoyewoIs/hqdefault.jpg", "youtube_id": "PC_FoyewoIs", "content_kind": "Video", "readable_id": "coordinate-plane-word-problems-exercise"}, {"translated_youtube_id": "INqaHHZGt8w", "relative_url": "/video/reflecting-points-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reflecting-points-exercise", "duration": 215, "translated_title": "Reflecting points exercise", "translated_description_html": "", "id": "x1d9ac087", "description_html": "", "title": "Reflecting points exercise", "progress_key": "vx1d9ac087", "edit_slug": "edit/v/x1d9ac087", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reflecting-points-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T21:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.mp4/INqaHHZGt8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.mp4/INqaHHZGt8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.m3u8/INqaHHZGt8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=INqaHHZGt8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d9ac087", "sha": "8eb1efc919b37c35bc20d911b2059226a29704a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/INqaHHZGt8w/hqdefault.jpg", "youtube_id": "INqaHHZGt8w", "content_kind": "Video", "readable_id": "reflecting-points-exercise"}], "twitter_url": "", "translated_description": "We first explored the coordinate plane in the 5th grade. But that was only dealing with positive coordinate. Now, however, we know all about negative numbers so why not have negative coordinates as well!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We first explored the coordinate plane in the 5th grade. But that was only dealing with positive coordinate. Now, however, we know all about negative numbers so why not have negative coordinates as well!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8", "x_pos": 0.0, "node_slug": "cc-6th-coordinate-plane", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axafc39668", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane", "extended_slug": "math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane", "slug": "cc-6th-coordinate-plane", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ffff3985f821882db4008965e42aacd3fddc34c9", "standalone_title": "Coordinate plane", "y_pos": 0.0, "current_revision_key": "ffff3985f821882db4008965e42aacd3fddc34c9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area", "translated_standalone_title": "Area", "translated_title": "Area", "gplus_url": "", "id": "x4d56a2fa", "old_key_name": null, "hide": false, "title": "Area", "child_data": [{"kind": "Video", "id": 283213901}, {"kind": "Exercise", "id": 920312137}, {"kind": "Video", "id": 351468823}, {"kind": "Exercise", "id": 898971113}, {"kind": "Video", "id": "x9eb86ee6"}, {"kind": "Video", "id": "xae34441c"}, {"kind": "Exercise", "id": 899013436}, {"kind": "Video", "id": "x27919a7f"}, {"kind": "Video", "id": "x74fb422f"}, {"kind": "Video", "id": "x995b0cd6"}, {"kind": "Exercise", "id": "xfb0c1229"}], "children": [{"translated_youtube_id": "LoaBd-sPzkU", "relative_url": "/video/perimeter-and-area-basics", "has_questions": false, "keywords": "Perimeter, and, Area, Basics", "ka_url": "http://www.khanacademy.org/video/perimeter-and-area-basics", "duration": 505, "translated_title": "Perimeter and area basics", "translated_description_html": "", "id": "283213901", "description_html": "", "title": "Perimeter and area basics", "progress_key": "v283213901", "edit_slug": "edit/v/283213901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/perimeter-and-area-basics", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.m3u8/LoaBd-sPzkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LoaBd-sPzkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213901", "sha": "09e171d451ecb77b7bc1b2d99b1e6c38508c14d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/LoaBd-sPzkU/hqdefault.jpg", "youtube_id": "LoaBd-sPzkU", "content_kind": "Video", "readable_id": "perimeter-and-area-basics"}, {"translated_youtube_id": "tFhBAeZVTMw", "relative_url": "/video/area-of-a-parallelogram", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/area-of-a-parallelogram", "duration": 342, "translated_title": "Area of a parallelogram", "translated_description_html": "Showing that the area of a parallelogram is base times height", "id": "351468823", "description_html": "Showing that the area of a parallelogram is base times height", "title": "Area of a parallelogram", "progress_key": "v351468823", "edit_slug": "edit/v/351468823", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the area of a parallelogram is base times height", "extra_properties": null, "node_slug": "v/area-of-a-parallelogram", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-02T10:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.m3u8/tFhBAeZVTMw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tFhBAeZVTMw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351468823", "sha": "dfedfb879e6ebd91fce999e93ff954ce16bf57c8", "translated_description": "Showing that the area of a parallelogram is base times height", "image_url": "https://img.youtube.com/vi/tFhBAeZVTMw/hqdefault.jpg", "youtube_id": "tFhBAeZVTMw", "content_kind": "Video", "readable_id": "area-of-a-parallelogram"}, {"translated_youtube_id": "j3-XYLnxJDY", "relative_url": "/video/area-of-a-trapezoid-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-a-trapezoid-1", "duration": 288, "translated_title": "Area of a trapezoid", "translated_description_html": "", "id": "x9eb86ee6", "description_html": "", "title": "Area of a trapezoid", "progress_key": "vx9eb86ee6", "edit_slug": "edit/v/x9eb86ee6", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-a-trapezoid-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-14T19:23:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.mp4/j3-XYLnxJDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.mp4/j3-XYLnxJDY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.m3u8/j3-XYLnxJDY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j3-XYLnxJDY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9eb86ee6", "sha": "4ee4d507a8afe828e81224a97cac58d04136d817", "translated_description": "", "image_url": "https://img.youtube.com/vi/j3-XYLnxJDY/hqdefault.jpg", "youtube_id": "j3-XYLnxJDY", "content_kind": "Video", "readable_id": "area-of-a-trapezoid-1"}, {"translated_youtube_id": "b8q6i_XPyhk", "relative_url": "/video/area-of-a-kite", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-a-kite", "duration": 229, "translated_title": "Area of a kite", "translated_description_html": "", "id": "xae34441c", "description_html": "", "title": "Area of a kite", "progress_key": "vxae34441c", "edit_slug": "edit/v/xae34441c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-a-kite", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T19:23:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.mp4/b8q6i_XPyhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.mp4/b8q6i_XPyhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.m3u8/b8q6i_XPyhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b8q6i_XPyhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxae34441c", "sha": "d57333fe642552fb766a3c31b6eccc9b30186824", "translated_description": "", "image_url": "https://img.youtube.com/vi/b8q6i_XPyhk/hqdefault.jpg", "youtube_id": "b8q6i_XPyhk", "content_kind": "Video", "readable_id": "area-of-a-kite"}, {"translated_youtube_id": "MamrTJ7V_Vg", "relative_url": "/video/area-comparisons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-comparisons", "duration": 237, "translated_title": "Finding area by rearranging parts", "translated_description_html": "", "id": "x27919a7f", "description_html": "", "title": "Finding area by rearranging parts", "progress_key": "vx27919a7f", "edit_slug": "edit/v/x27919a7f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-comparisons", "deleted": false, "backup_timestamp": "2013-10-30T16:19:01Z", "date_added": "2013-10-30T16:19:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MamrTJ7V_Vg.mp4/MamrTJ7V_Vg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MamrTJ7V_Vg.mp4/MamrTJ7V_Vg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MamrTJ7V_Vg.m3u8/MamrTJ7V_Vg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MamrTJ7V_Vg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27919a7f", "sha": "357783dd120292277016e4ab5434fa2705cfbf5e", "translated_description": "", "image_url": "https://img.youtube.com/vi/MamrTJ7V_Vg/hqdefault.jpg", "youtube_id": "MamrTJ7V_Vg", "content_kind": "Video", "readable_id": "area-comparisons"}, {"translated_youtube_id": "loAA3TCNAvU", "relative_url": "/video/area-breaking-up-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-breaking-up-shape", "duration": 315, "translated_title": "Area by breaking up shape", "translated_description_html": "", "id": "x74fb422f", "description_html": "", "title": "Area by breaking up shape", "progress_key": "vx74fb422f", "edit_slug": "edit/v/x74fb422f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-breaking-up-shape", "deleted": false, "backup_timestamp": "2013-10-30T16:19:00Z", "date_added": "2013-10-30T16:19:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/loAA3TCNAvU.mp4/loAA3TCNAvU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/loAA3TCNAvU.mp4/loAA3TCNAvU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/loAA3TCNAvU.m3u8/loAA3TCNAvU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=loAA3TCNAvU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx74fb422f", "sha": "c6133068ee5abd1c48555b6b6afc01358335b0c9", "translated_description": "", "image_url": "https://img.youtube.com/vi/loAA3TCNAvU/hqdefault.jpg", "youtube_id": "loAA3TCNAvU", "content_kind": "Video", "readable_id": "area-breaking-up-shape"}, {"translated_youtube_id": "gkifo46--JA", "relative_url": "/video/area-of-strange-quadrilateral", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-strange-quadrilateral", "duration": 234, "translated_title": "Area of strange quadrilateral", "translated_description_html": "", "id": "x995b0cd6", "description_html": "", "title": "Area of strange quadrilateral", "progress_key": "vx995b0cd6", "edit_slug": "edit/v/x995b0cd6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-of-strange-quadrilateral", "deleted": false, "backup_timestamp": "2013-10-30T16:19:00Z", "date_added": "2013-10-30T16:19:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gkifo46--JA.mp4/gkifo46--JA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gkifo46--JA.mp4/gkifo46--JA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gkifo46--JA.m3u8/gkifo46--JA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gkifo46--JA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx995b0cd6", "sha": "ede369bee882763143cf1f7b731832934ba7e686", "translated_description": "", "image_url": "https://img.youtube.com/vi/gkifo46--JA/hqdefault.jpg", "youtube_id": "gkifo46--JA", "content_kind": "Video", "readable_id": "area-of-strange-quadrilateral"}], "twitter_url": "", "translated_description": "Let's now extend our understanding of area to triangles and more interesting quadrilaterals!\n\nCommon Core Standard: 6.G.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's now extend our understanding of area to triangles and more interesting quadrilaterals!\n\nCommon Core Standard: 6.G.A.1", "x_pos": 0.0, "node_slug": "cc-6th-area", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d56a2fa", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area", "extended_slug": "math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area", "slug": "cc-6th-area", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "69870e085c4418358b96d6b11ede027174a65bc8", "standalone_title": "Area", "y_pos": 0.0, "current_revision_key": "69870e085c4418358b96d6b11ede027174a65bc8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-surface-area", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-surface-area", "translated_standalone_title": "Volume and surface area", "translated_title": "Volume and surface area", "gplus_url": "", "id": "xe36b3b1a", "old_key_name": null, "hide": false, "title": "Volume and surface area", "child_data": [{"kind": "Video", "id": "xa72132ec"}, {"kind": "Exercise", "id": "xd94fe24c"}, {"kind": "Video", "id": "x6e267a36"}, {"kind": "Exercise", "id": "xe57344e5"}, {"kind": "Video", "id": "xbb4d5fe8"}, {"kind": "Exercise", "id": "x888ea118"}], "children": [{"translated_youtube_id": "CCysGY2cXUo", "relative_url": "/video/marbles-in-tank-volume", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/marbles-in-tank-volume", "duration": 382, "translated_title": "Volume of marbles in a fish tank", "translated_description_html": "", "id": "xa72132ec", "description_html": "", "title": "Volume of marbles in a fish tank", "progress_key": "vxa72132ec", "edit_slug": "edit/v/xa72132ec", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/marbles-in-tank-volume", "deleted": false, "backup_timestamp": "2013-10-25T23:01:07Z", "date_added": "2013-10-25T23:01:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CCysGY2cXUo.mp4/CCysGY2cXUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CCysGY2cXUo.mp4/CCysGY2cXUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CCysGY2cXUo.m3u8/CCysGY2cXUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CCysGY2cXUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa72132ec", "sha": "33c3671840cfd13f84bd2cb84c81ba23dfd73850", "translated_description": "", "image_url": "https://img.youtube.com/vi/CCysGY2cXUo/hqdefault.jpg", "youtube_id": "CCysGY2cXUo", "content_kind": "Video", "readable_id": "marbles-in-tank-volume"}, {"translated_youtube_id": "ZACf9EecFrY", "relative_url": "/video/nets-of-polyhedra", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nets-of-polyhedra", "duration": 408, "translated_title": "Nets of polyhedra", "translated_description_html": "", "id": "x6e267a36", "description_html": "", "title": "Nets of polyhedra", "progress_key": "vx6e267a36", "edit_slug": "edit/v/x6e267a36", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/nets-of-polyhedra", "deleted": false, "backup_timestamp": "2013-10-25T23:01:06Z", "date_added": "2013-10-25T23:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZACf9EecFrY.mp4/ZACf9EecFrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZACf9EecFrY.mp4/ZACf9EecFrY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZACf9EecFrY.m3u8/ZACf9EecFrY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZACf9EecFrY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6e267a36", "sha": "4e91300ce7ecb14c1442ba311d6f61561bcc8fe5", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZACf9EecFrY/hqdefault.jpg", "youtube_id": "ZACf9EecFrY", "content_kind": "Video", "readable_id": "nets-of-polyhedra"}, {"translated_youtube_id": "m1ZTnl4CNQg", "relative_url": "/video/surface-area-from-net", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/surface-area-from-net", "duration": 259, "translated_title": "Calculating surface area using net", "translated_description_html": "", "id": "xbb4d5fe8", "description_html": "", "title": "Calculating surface area using net", "progress_key": "vxbb4d5fe8", "edit_slug": "edit/v/xbb4d5fe8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/surface-area-from-net", "deleted": false, "backup_timestamp": "2013-10-25T23:01:07Z", "date_added": "2013-10-25T23:01:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m1ZTnl4CNQg.mp4/m1ZTnl4CNQg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m1ZTnl4CNQg.mp4/m1ZTnl4CNQg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m1ZTnl4CNQg.m3u8/m1ZTnl4CNQg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m1ZTnl4CNQg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb4d5fe8", "sha": "781130cb07d482164362c3170ebe8d693831baf6", "translated_description": "", "image_url": "https://img.youtube.com/vi/m1ZTnl4CNQg/hqdefault.jpg", "youtube_id": "m1ZTnl4CNQg", "content_kind": "Video", "readable_id": "surface-area-from-net"}], "twitter_url": "", "translated_description": "Let's explore the volume and surface area of 3D shapes.\n\nCommon Core Standards: 6.G.A.2, 6.G.A.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's explore the volume and surface area of 3D shapes.\n\nCommon Core Standards: 6.G.A.2, 6.G.A.4", "x_pos": 0.0, "node_slug": "cc-6th-volume-surface-area", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T01:19:53Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe36b3b1a", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-surface-area", "extended_slug": "math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-surface-area", "slug": "cc-6th-volume-surface-area", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0bd04023808f8d5d0e8e086e3feac5d74482a993", "standalone_title": "Volume and surface area", "y_pos": 0.0, "current_revision_key": "0bd04023808f8d5d0e8e086e3feac5d74482a993", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane", "translated_standalone_title": "Polygons in the coordinate plane", "translated_title": "Polygons in the coordinate plane", "gplus_url": "", "id": "x2a3517cb", "old_key_name": null, "hide": false, "title": "Polygons in the coordinate plane", "child_data": [{"kind": "Video", "id": "xd2b8209a"}, {"kind": "Exercise", "id": "xf0293235"}, {"kind": "Video", "id": "x249c50c5"}, {"kind": "Exercise", "id": "x6fe7dd73"}], "children": [{"translated_youtube_id": "zxy4KAiSPIc", "relative_url": "/video/constructing-polygon-on-coordinate-plane-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-polygon-on-coordinate-plane-example", "duration": 92, "translated_title": "Constructing polygon on the coordinate plane example", "translated_description_html": "", "id": "xd2b8209a", "description_html": "", "title": "Constructing polygon on the coordinate plane example", "progress_key": "vxd2b8209a", "edit_slug": "edit/v/xd2b8209a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-polygon-on-coordinate-plane-example", "deleted": false, "backup_timestamp": "2013-10-25T23:01:07Z", "date_added": "2013-10-25T23:01:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zxy4KAiSPIc.mp4/zxy4KAiSPIc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zxy4KAiSPIc.mp4/zxy4KAiSPIc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zxy4KAiSPIc.m3u8/zxy4KAiSPIc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zxy4KAiSPIc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd2b8209a", "sha": "198f75b1817efc143d30d58516cd99813cf6f734", "translated_description": "", "image_url": "https://img.youtube.com/vi/zxy4KAiSPIc/hqdefault.jpg", "youtube_id": "zxy4KAiSPIc", "content_kind": "Video", "readable_id": "constructing-polygon-on-coordinate-plane-example"}, {"translated_youtube_id": "8ToCxaB7EOE", "relative_url": "/video/Analyzing polygon on the coordinate plane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Analyzing polygon on the coordinate plane", "duration": 317, "translated_title": "Polygons on the coordinate plane", "translated_description_html": "", "id": "x249c50c5", "description_html": "", "title": "Polygons on the coordinate plane", "progress_key": "vx249c50c5", "edit_slug": "edit/v/x249c50c5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Analyzing polygon on the coordinate plane", "deleted": false, "backup_timestamp": "2013-10-25T23:01:07Z", "date_added": "2013-10-25T23:01:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8ToCxaB7EOE.mp4/8ToCxaB7EOE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8ToCxaB7EOE.mp4/8ToCxaB7EOE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8ToCxaB7EOE.m3u8/8ToCxaB7EOE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8ToCxaB7EOE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx249c50c5", "sha": "402a9e7d86002ab0d57c2ab900a9dcc9fcc6b78d", "translated_description": "", "image_url": "https://img.youtube.com/vi/8ToCxaB7EOE/hqdefault.jpg", "youtube_id": "8ToCxaB7EOE", "content_kind": "Video", "readable_id": "Analyzing polygon on the coordinate plane"}], "twitter_url": "", "translated_description": "We've learned about polygons and have explored all four quadrants of the coordinate plane.\nNow, let's combine those skills to draw, measure, and solve problems with polygons in the coordinate plane.\n\nCommon Core Standards: CC.6.G.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We've learned about polygons and have explored all four quadrants of the coordinate plane.\nNow, let's combine those skills to draw, measure, and solve problems with polygons in the coordinate plane.\n\nCommon Core Standards: CC.6.G.A.3", "x_pos": 0.0, "node_slug": "cc-6th-polygons-in-the-coordinate-plane", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T01:19:53Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2a3517cb", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane", "extended_slug": "math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane", "slug": "cc-6th-polygons-in-the-coordinate-plane", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd0242d7dbd819f3c6e87cdf91237d08b1d47247", "standalone_title": "Polygons in the coordinate plane", "y_pos": 0.0, "current_revision_key": "bd0242d7dbd819f3c6e87cdf91237d08b1d47247", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-geometry-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa626edb", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-geometry-topic", "extended_slug": "math/cc-sixth-grade-math/cc-6th-geometry-topic", "slug": "cc-6th-geometry-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a6e441b47414222d4737b05ea116ee6bb1ff2f75", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "a6e441b47414222d4737b05ea116ee6bb1ff2f75", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables", "translated_standalone_title": "Variables and expressions", "translated_title": "Variables and expressions", "gplus_url": "", "id": "x8ade30f9", "old_key_name": null, "hide": false, "title": "Variables and expressions", "child_data": [{"kind": "Topic", "id": "x7e4faa82"}, {"kind": "Topic", "id": "xc4a79f63"}, {"kind": "Topic", "id": "xeeab8d0a"}, {"kind": "Topic", "id": "x1db64bec"}, {"kind": "Topic", "id": "x6724c587"}, {"kind": "Topic", "id": "x62539c9c"}, {"kind": "Topic", "id": "xf1c87ac9"}, {"kind": "Topic", "id": "x408693be"}, {"kind": "Topic", "id": "x05407b8c"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions", "translated_standalone_title": "Evaluating expressions", "translated_title": "Evaluating expressions", "gplus_url": "", "id": "x7e4faa82", "old_key_name": null, "hide": false, "title": "Evaluating expressions", "child_data": [{"kind": "Video", "id": 1027163525}, {"kind": "Video", "id": 1027377520}, {"kind": "Video", "id": 13179305}, {"kind": "Video", "id": 13179471}, {"kind": "Video", "id": 13179497}, {"kind": "Exercise", "id": "x372f6cfe"}, {"kind": "Exercise", "id": 47765362}, {"kind": "Video", "id": "xcce18b8f"}, {"kind": "Exercise", "id": 213307256}, {"kind": "Video", "id": "x27a60b7a"}, {"kind": "Exercise", "id": "x6859e543"}, {"kind": "Video", "id": "x1a00fa7a"}, {"kind": "Exercise", "id": "x3d7d4e61"}], "children": [{"translated_youtube_id": "tHYis-DP0oU", "relative_url": "/video/what-is-a-variable", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-variable", "duration": 198, "translated_title": "What is a variable?", "translated_description_html": "Understanding that a variable is just a symbol that can represent different values", "id": "1027163525", "description_html": "Understanding that a variable is just a symbol that can represent different values", "title": "What is a variable?", "progress_key": "v1027163525", "edit_slug": "edit/v/1027163525", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding that a variable is just a symbol that can represent different values", "extra_properties": null, "node_slug": "v/what-is-a-variable", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-09-08T16:14:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.mp4/tHYis-DP0oU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.mp4/tHYis-DP0oU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.m3u8/tHYis-DP0oU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tHYis-DP0oU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027163525", "sha": "93a0d8244696a6baa0cdce06313b912ee0ca3012", "translated_description": "Understanding that a variable is just a symbol that can represent different values", "image_url": "https://img.youtube.com/vi/tHYis-DP0oU/hqdefault.jpg", "youtube_id": "tHYis-DP0oU", "content_kind": "Video", "readable_id": "what-is-a-variable"}, {"translated_youtube_id": "vDaIKB19TvY", "relative_url": "/video/why-aren-t-we-using-the-multiplication-sign", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-aren-t-we-using-the-multiplication-sign", "duration": 298, "translated_title": "Why aren't we using the multiplication sign", "translated_description_html": "Why we avoid using the traditional multiplication sign in algebra.", "id": "1027377520", "description_html": "Why we avoid using the traditional multiplication sign in algebra.", "title": "Why aren't we using the multiplication sign", "progress_key": "v1027377520", "edit_slug": "edit/v/1027377520", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why we avoid using the traditional multiplication sign in algebra.", "extra_properties": null, "node_slug": "v/why-aren-t-we-using-the-multiplication-sign", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-08T16:15:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.mp4/vDaIKB19TvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.mp4/vDaIKB19TvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.m3u8/vDaIKB19TvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDaIKB19TvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027377520", "sha": "a04f36b7219389ee736ef6e13fc662bb7e22e22b", "translated_description": "Why we avoid using the traditional multiplication sign in algebra.", "image_url": "https://img.youtube.com/vi/vDaIKB19TvY/hqdefault.jpg", "youtube_id": "vDaIKB19TvY", "content_kind": "Video", "readable_id": "why-aren-t-we-using-the-multiplication-sign"}, {"translated_youtube_id": "AJNDeVt9UOo", "relative_url": "/video/variables-and-expressions-1", "has_questions": false, "keywords": "U09_L1_T1_we1, Variables, and, Expressions, CC_6_EE_2_c, CC_6_EE_6, CC_6_EE_9, CC_7_EE_4, CC_8_EE_7", "ka_url": "http://www.khanacademy.org/video/variables-and-expressions-1", "duration": 120, "translated_title": "Example: Evaluating an expression", "translated_description_html": "Variables and Expressions 1", "id": "13179305", "description_html": "Variables and Expressions 1", "title": "Example: Evaluating an expression", "progress_key": "v13179305", "edit_slug": "edit/v/13179305", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Variables and Expressions 1", "extra_properties": null, "node_slug": "v/variables-and-expressions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.mp4/AJNDeVt9UOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.mp4/AJNDeVt9UOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.m3u8/AJNDeVt9UOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AJNDeVt9UOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179305", "sha": "2a57132837707defbc19596a5d316212578fb180", "translated_description": "Variables and Expressions 1", "image_url": "https://img.youtube.com/vi/AJNDeVt9UOo/hqdefault.jpg", "youtube_id": "AJNDeVt9UOo", "content_kind": "Video", "readable_id": "variables-and-expressions-1"}, {"translated_youtube_id": "tC1SfxRvtmM", "relative_url": "/video/evaluate-a-formula-using-substitution", "has_questions": false, "keywords": "u10_l1_t4_we1, Evaluate, formula, using, substitution, CC_6_EE_2_c, CC_6_EE_6, CC_6_EE_9, CC_7_EE_4, CC_8_EE_7, CC_8_EE_7_a, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/evaluate-a-formula-using-substitution", "duration": 75, "translated_title": "Example: Evaluate a formula using substitution", "translated_description_html": "Evaluate a formula using substitution", "id": "13179471", "description_html": "Evaluate a formula using substitution", "title": "Example: Evaluate a formula using substitution", "progress_key": "v13179471", "edit_slug": "edit/v/13179471", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Evaluate a formula using substitution", "extra_properties": null, "node_slug": "v/evaluate-a-formula-using-substitution", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.mp4/tC1SfxRvtmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.mp4/tC1SfxRvtmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.m3u8/tC1SfxRvtmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tC1SfxRvtmM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179471", "sha": "5e02f542cba92d0eb45da2d63107bf23997b0324", "translated_description": "Evaluate a formula using substitution", "image_url": "https://img.youtube.com/vi/tC1SfxRvtmM/hqdefault.jpg", "youtube_id": "tC1SfxRvtmM", "content_kind": "Video", "readable_id": "evaluate-a-formula-using-substitution"}, {"translated_youtube_id": "0uCslW40VHQ", "relative_url": "/video/evaluating-exponential-expressions", "has_questions": false, "keywords": "u11_l1_t1_we1, Evaluating, exponential, expressions, CC_6_EE_1, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/evaluating-exponential-expressions", "duration": 161, "translated_title": "Evaluating exponential expressions", "translated_description_html": "Evaluating exponential expressions", "id": "13179497", "description_html": "Evaluating exponential expressions", "title": "Evaluating exponential expressions", "progress_key": "v13179497", "edit_slug": "edit/v/13179497", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": null, "description": "Evaluating exponential expressions", "extra_properties": null, "node_slug": "v/evaluating-exponential-expressions", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0uCslW40VHQ.mp4/0uCslW40VHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0uCslW40VHQ.mp4/0uCslW40VHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0uCslW40VHQ.m3u8/0uCslW40VHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0uCslW40VHQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179497", "sha": "e2bc99d422f0f68d67e7f0fe4b4804a2be12f8fb", "translated_description": "Evaluating exponential expressions", "image_url": "https://img.youtube.com/vi/0uCslW40VHQ/hqdefault.jpg", "youtube_id": "0uCslW40VHQ", "content_kind": "Video", "readable_id": "evaluating-exponential-expressions"}, {"translated_youtube_id": "S_OX3ByvBSc", "relative_url": "/video/evaluating-expressions-in-two-variables", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-in-two-variables", "duration": 125, "translated_title": "Evaluating expressions in two variables", "translated_description_html": "", "id": "xcce18b8f", "description_html": "", "title": "Evaluating expressions in two variables", "progress_key": "vxcce18b8f", "edit_slug": "edit/v/xcce18b8f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/evaluating-expressions-in-two-variables", "deleted": false, "backup_timestamp": "2013-10-26T00:20:42Z", "date_added": "2013-10-26T00:20:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S_OX3ByvBSc.mp4/S_OX3ByvBSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S_OX3ByvBSc.mp4/S_OX3ByvBSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S_OX3ByvBSc.m3u8/S_OX3ByvBSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S_OX3ByvBSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcce18b8f", "sha": "56d5137c5f3cfc1caf45d4d3c46993d2dfad0c9e", "translated_description": "", "image_url": "https://img.youtube.com/vi/S_OX3ByvBSc/hqdefault.jpg", "youtube_id": "S_OX3ByvBSc", "content_kind": "Video", "readable_id": "evaluating-expressions-in-two-variables"}, {"translated_youtube_id": "I9eLKDbc8og", "relative_url": "/video/evaluating-expressions-3-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-3-exercise", "duration": 204, "translated_title": "Example evaluating expressions in word problems", "translated_description_html": "", "id": "x27a60b7a", "description_html": "", "title": "Example evaluating expressions in word problems", "progress_key": "vx27a60b7a", "edit_slug": "edit/v/x27a60b7a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/evaluating-expressions-3-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T17:55:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.mp4/I9eLKDbc8og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.mp4/I9eLKDbc8og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.m3u8/I9eLKDbc8og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I9eLKDbc8og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27a60b7a", "sha": "8b35c403c386950478da89080d0757aa3f7bbffe", "translated_description": "", "image_url": "https://img.youtube.com/vi/I9eLKDbc8og/hqdefault.jpg", "youtube_id": "I9eLKDbc8og", "content_kind": "Video", "readable_id": "evaluating-expressions-3-exercise"}, {"translated_youtube_id": "9_VCk9tWT0Y", "relative_url": "/video/expression-terms--factors-and-coefficients", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/expression-terms--factors-and-coefficients", "duration": 441, "translated_title": "Expression terms, factors and coefficients", "translated_description_html": "", "id": "x1a00fa7a", "description_html": "", "title": "Expression terms, factors and coefficients", "progress_key": "vx1a00fa7a", "edit_slug": "edit/v/x1a00fa7a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/expression-terms--factors-and-coefficients", "deleted": false, "backup_timestamp": "2013-10-26T00:20:43Z", "date_added": "2013-10-26T00:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9_VCk9tWT0Y.mp4/9_VCk9tWT0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9_VCk9tWT0Y.mp4/9_VCk9tWT0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9_VCk9tWT0Y.m3u8/9_VCk9tWT0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9_VCk9tWT0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a00fa7a", "sha": "70e384eb468de6107624070690101f07daf31ec1", "translated_description": "", "image_url": "https://img.youtube.com/vi/9_VCk9tWT0Y/hqdefault.jpg", "youtube_id": "9_VCk9tWT0Y", "content_kind": "Video", "readable_id": "expression-terms--factors-and-coefficients"}], "twitter_url": "", "translated_description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must. This tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.\n\nCommon Core Standards: 6.EE.A.1, 6.EE.A.2b, 6.EE.A.2c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must. This tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.\n\nCommon Core Standards: 6.EE.A.1, 6.EE.A.2b, 6.EE.A.2c", "x_pos": 0.0, "node_slug": "cc-6th-evaluating-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7e4faa82", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions", "slug": "cc-6th-evaluating-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0cc13bf998fc8487fb2db78e71bd45c8eca75ea5", "standalone_title": "Evaluating expressions", "y_pos": 0.0, "current_revision_key": "0cc13bf998fc8487fb2db78e71bd45c8eca75ea5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions", "translated_standalone_title": "Writing expressions", "translated_title": "Writing expressions", "gplus_url": "", "id": "xc4a79f63", "old_key_name": null, "hide": false, "title": "Writing expressions", "child_data": [{"kind": "Video", "id": "xcd612f07"}, {"kind": "Exercise", "id": 47736350}, {"kind": "Video", "id": "xbe65fb1e"}, {"kind": "Video", "id": "xbeff8151"}, {"kind": "Exercise", "id": 47750479}, {"kind": "Video", "id": "xa87ab2be"}, {"kind": "Video", "id": "x16d72ff8"}, {"kind": "Video", "id": "x94226688"}, {"kind": "Exercise", "id": "x7ab7710c"}, {"kind": "Exercise", "id": "x169caf97"}, {"kind": "Exercise", "id": "xf5eb3c13"}], "children": [{"translated_youtube_id": "Q1vMNyIP4Us", "relative_url": "/video/writing-expressions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-1", "duration": 98, "translated_title": "Writing expressions 1", "translated_description_html": "", "id": "xcd612f07", "description_html": "", "title": "Writing expressions 1", "progress_key": "vxcd612f07", "edit_slug": "edit/v/xcd612f07", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.mp4/Q1vMNyIP4Us.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.mp4/Q1vMNyIP4Us.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.m3u8/Q1vMNyIP4Us.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q1vMNyIP4Us&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcd612f07", "sha": "896ac79f04e5213599890a639ba73781865dc139", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q1vMNyIP4Us/hqdefault.jpg", "youtube_id": "Q1vMNyIP4Us", "content_kind": "Video", "readable_id": "writing-expressions-1"}, {"translated_youtube_id": "xLYVo_k0_us", "relative_url": "/video/writing-expressions-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-2", "duration": 165, "translated_title": "Writing expressions 2", "translated_description_html": "", "id": "xbe65fb1e", "description_html": "", "title": "Writing expressions 2", "progress_key": "vxbe65fb1e", "edit_slug": "edit/v/xbe65fb1e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.mp4/xLYVo_k0_us.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.mp4/xLYVo_k0_us.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.m3u8/xLYVo_k0_us.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xLYVo_k0_us&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe65fb1e", "sha": "452ccf127e1f7d8611877816bf089584a1a1f67d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xLYVo_k0_us/hqdefault.jpg", "youtube_id": "xLYVo_k0_us", "content_kind": "Video", "readable_id": "writing-expressions-2"}, {"translated_youtube_id": "Es8yvgc5kvY", "relative_url": "/video/writing-expressions-2-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-2-exercise-example", "duration": 143, "translated_title": "Writing expressions 2 exercise example", "translated_description_html": "", "id": "xbeff8151", "description_html": "", "title": "Writing expressions 2 exercise example", "progress_key": "vxbeff8151", "edit_slug": "edit/v/xbeff8151", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-2-exercise-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T15:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.mp4/Es8yvgc5kvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.mp4/Es8yvgc5kvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.m3u8/Es8yvgc5kvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Es8yvgc5kvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbeff8151", "sha": "3717555f8cccec8228b6bbf4433ca66bc0868e94", "translated_description": "", "image_url": "https://img.youtube.com/vi/Es8yvgc5kvY/hqdefault.jpg", "youtube_id": "Es8yvgc5kvY", "content_kind": "Video", "readable_id": "writing-expressions-2-exercise-example"}, {"translated_youtube_id": "IEKU6tubTEw", "relative_url": "/video/writing-expressions-3-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-1", "duration": 144, "translated_title": "Writing expressions 3 exercise example 1", "translated_description_html": "", "id": "xa87ab2be", "description_html": "", "title": "Writing expressions 3 exercise example 1", "progress_key": "vxa87ab2be", "edit_slug": "edit/v/xa87ab2be", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.mp4/IEKU6tubTEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.mp4/IEKU6tubTEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.m3u8/IEKU6tubTEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IEKU6tubTEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa87ab2be", "sha": "7f2885d487cb4885a44a406a1a70ac80e4a592bd", "translated_description": "", "image_url": "https://img.youtube.com/vi/IEKU6tubTEw/hqdefault.jpg", "youtube_id": "IEKU6tubTEw", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-1"}, {"translated_youtube_id": "o_Vt7J08PE4", "relative_url": "/video/writing-expressions-3-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-2", "duration": 80, "translated_title": "Writing expressions 3 exercise example 2", "translated_description_html": "", "id": "x16d72ff8", "description_html": "", "title": "Writing expressions 3 exercise example 2", "progress_key": "vx16d72ff8", "edit_slug": "edit/v/x16d72ff8", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.mp4/o_Vt7J08PE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.mp4/o_Vt7J08PE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.m3u8/o_Vt7J08PE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_Vt7J08PE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16d72ff8", "sha": "4e3eeab263f586b3e5264a07f03efa993ec3df3f", "translated_description": "", "image_url": "https://img.youtube.com/vi/o_Vt7J08PE4/hqdefault.jpg", "youtube_id": "o_Vt7J08PE4", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-2"}, {"translated_youtube_id": "zaGUlwslGGg", "relative_url": "/video/writing-expressions-3-exercise-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-3", "duration": 44, "translated_title": "Writing expressions 3 exercise example 3", "translated_description_html": "", "id": "x94226688", "description_html": "", "title": "Writing expressions 3 exercise example 3", "progress_key": "vx94226688", "edit_slug": "edit/v/x94226688", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.mp4/zaGUlwslGGg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.mp4/zaGUlwslGGg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.m3u8/zaGUlwslGGg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zaGUlwslGGg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx94226688", "sha": "a8324ab35efde4dcbc5be84655d2b481085f48aa", "translated_description": "", "image_url": "https://img.youtube.com/vi/zaGUlwslGGg/hqdefault.jpg", "youtube_id": "zaGUlwslGGg", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-3"}], "twitter_url": "", "translated_description": "All the symbols you write in math are just a language or short-hand to represent real-world ideas. In this tutorial, we'll get experience writing algebraic expressions to elegantly represent real-life ideas.\n\nCommon Core Standard: 6.EE.A.2, 6.EE.A.2b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "All the symbols you write in math are just a language or short-hand to represent real-world ideas. In this tutorial, we'll get experience writing algebraic expressions to elegantly represent real-life ideas.\n\nCommon Core Standard: 6.EE.A.2, 6.EE.A.2b", "x_pos": 0.0, "node_slug": "cc-6th-writing-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc4a79f63", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions", "slug": "cc-6th-writing-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "db59390071cb6c660022e88f6c95927ed554b169", "standalone_title": "Writing expressions", "y_pos": 0.0, "current_revision_key": "db59390071cb6c660022e88f6c95927ed554b169", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions", "translated_standalone_title": "Equivalent expressions", "translated_title": "Equivalent expressions", "gplus_url": "", "id": "xeeab8d0a", "old_key_name": null, "hide": false, "title": "Equivalent expressions", "child_data": [{"kind": "Video", "id": 1027260826}, {"kind": "Video", "id": "x175edcf7"}, {"kind": "Video", "id": 1254705621}, {"kind": "Video", "id": 1254724496}, {"kind": "Video", "id": "xb194eaea"}, {"kind": "Exercise", "id": "xc85799e4"}], "children": [{"translated_youtube_id": "CLWpkv6ccpA", "relative_url": "/video/combining-like-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms", "duration": 273, "translated_title": "Combining like terms", "translated_description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "id": "1027260826", "description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "title": "Combining like terms", "progress_key": "v1027260826", "edit_slug": "edit/v/1027260826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "extra_properties": null, "node_slug": "v/combining-like-terms", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-08T16:16:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.m3u8/CLWpkv6ccpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLWpkv6ccpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027260826", "sha": "0a11dc8cc38c035614802989f17a0d0bcd1cbe41", "translated_description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "image_url": "https://img.youtube.com/vi/CLWpkv6ccpA/hqdefault.jpg", "youtube_id": "CLWpkv6ccpA", "content_kind": "Video", "readable_id": "combining-like-terms"}, {"translated_youtube_id": "HB52UTcAv0g", "relative_url": "/video/adding-like-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-like-rational-terms", "duration": 74, "translated_title": "Adding like rational terms", "translated_description_html": "", "id": "x175edcf7", "description_html": "", "title": "Adding like rational terms", "progress_key": "vx175edcf7", "edit_slug": "edit/v/x175edcf7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-like-rational-terms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.m3u8/HB52UTcAv0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HB52UTcAv0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx175edcf7", "sha": "062d8bc554a4de66d081a341fb0d4949e2cb23fe", "translated_description": "", "image_url": "https://img.youtube.com/vi/HB52UTcAv0g/hqdefault.jpg", "youtube_id": "HB52UTcAv0g", "content_kind": "Video", "readable_id": "adding-like-rational-terms"}, {"translated_youtube_id": "P6_sK8hRWCA", "relative_url": "/video/combining-like-terms-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-1", "duration": 186, "translated_title": "Combining like terms 1", "translated_description_html": "", "id": "1254705621", "description_html": "", "title": "Combining like terms 1", "progress_key": "v1254705621", "edit_slug": "edit/v/1254705621", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/combining-like-terms-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-29T01:37:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.m3u8/P6_sK8hRWCA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P6_sK8hRWCA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254705621", "sha": "9a26c77de7ecdba9f5e331d1fda5366b2f5efc6f", "translated_description": "", "image_url": "https://img.youtube.com/vi/P6_sK8hRWCA/hqdefault.jpg", "youtube_id": "P6_sK8hRWCA", "content_kind": "Video", "readable_id": "combining-like-terms-1"}, {"translated_youtube_id": "1DgDt6gCUKs", "relative_url": "/video/combining-like-terms-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-2", "duration": 223, "translated_title": "Combining like terms 2", "translated_description_html": "Simplifying expression with like terms", "id": "1254724496", "description_html": "Simplifying expression with like terms", "title": "Combining like terms 2", "progress_key": "v1254724496", "edit_slug": "edit/v/1254724496", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simplifying expression with like terms", "extra_properties": null, "node_slug": "v/combining-like-terms-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T01:38:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.m3u8/1DgDt6gCUKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1DgDt6gCUKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254724496", "sha": "5f07124d125da404db31f78f15d9c95d76e95d52", "translated_description": "Simplifying expression with like terms", "image_url": "https://img.youtube.com/vi/1DgDt6gCUKs/hqdefault.jpg", "youtube_id": "1DgDt6gCUKs", "content_kind": "Video", "readable_id": "combining-like-terms-2"}, {"translated_youtube_id": "S9pTSmXmXH8", "relative_url": "/video/equivalent-forms-of-expressions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-forms-of-expressions-1", "duration": 332, "translated_title": "Equivalent forms of expressions 1", "translated_description_html": "", "id": "xb194eaea", "description_html": "", "title": "Equivalent forms of expressions 1", "progress_key": "vxb194eaea", "edit_slug": "edit/v/xb194eaea", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-forms-of-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.mp4/S9pTSmXmXH8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.mp4/S9pTSmXmXH8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.m3u8/S9pTSmXmXH8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S9pTSmXmXH8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb194eaea", "sha": "107d951529ddee0483cdec0b1602c32ed04c7ad8", "translated_description": "", "image_url": "https://img.youtube.com/vi/S9pTSmXmXH8/hqdefault.jpg", "youtube_id": "S9pTSmXmXH8", "content_kind": "Video", "readable_id": "equivalent-forms-of-expressions-1"}], "twitter_url": "", "translated_description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standards: 6.EE.A.3, 6.EE.A.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standards: 6.EE.A.3, 6.EE.A.4", "x_pos": 0.0, "node_slug": "cc-6th-equivalent-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeeab8d0a", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions", "slug": "cc-6th-equivalent-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c7f4c0f870da621400ca3829ae022b45e0dddc66", "standalone_title": "Equivalent expressions", "y_pos": 0.0, "current_revision_key": "c7f4c0f870da621400ca3829ae022b45e0dddc66", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equations-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equations-inequalities", "translated_standalone_title": "Solving equations and inequalities", "translated_title": "Solving equations and inequalities with substitution", "gplus_url": "", "id": "x1db64bec", "old_key_name": null, "hide": false, "title": "Solving equations and inequalities with substitution", "child_data": [{"kind": "Video", "id": 583878752}, {"kind": "Video", "id": "xce35917b"}, {"kind": "Video", "id": "x2987e1d5"}, {"kind": "Video", "id": "x3603c992"}, {"kind": "Video", "id": "xe78fdf7d"}, {"kind": "Exercise", "id": "x869b2707"}], "children": [{"translated_youtube_id": "vDqOoI-4Z6M", "relative_url": "/video/variables-expressions-and-equations", "has_questions": false, "keywords": "Variables, Expressions, and, Equations", "ka_url": "http://www.khanacademy.org/video/variables-expressions-and-equations", "duration": 415, "translated_title": "Variables, expressions, and equations", "translated_description_html": "Introduction and examples of variables, expressions and equations", "id": "583878752", "description_html": "Introduction and examples of variables, expressions and equations", "title": "Variables, expressions, and equations", "progress_key": "v583878752", "edit_slug": "edit/v/583878752", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction and examples of variables, expressions and equations", "extra_properties": null, "node_slug": "v/variables-expressions-and-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-17T21:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.mp4/vDqOoI-4Z6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.mp4/vDqOoI-4Z6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.m3u8/vDqOoI-4Z6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDqOoI-4Z6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v583878752", "sha": "e670f4817c705661b7b806f546f50fcd9aae79a2", "translated_description": "Introduction and examples of variables, expressions and equations", "image_url": "https://img.youtube.com/vi/vDqOoI-4Z6M/hqdefault.jpg", "youtube_id": "vDqOoI-4Z6M", "content_kind": "Video", "readable_id": "variables-expressions-and-equations"}, {"translated_youtube_id": "W7BoAZt8AfA", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-1", "duration": 287, "translated_title": "Solving equations and inequalities through substitution example 1", "translated_description_html": "", "id": "xce35917b", "description_html": "", "title": "Solving equations and inequalities through substitution example 1", "progress_key": "vxce35917b", "edit_slug": "edit/v/xce35917b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.mp4/W7BoAZt8AfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.mp4/W7BoAZt8AfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.m3u8/W7BoAZt8AfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7BoAZt8AfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxce35917b", "sha": "c1ac9784f5e6056a6279b7fe7f6fe0d21515c367", "translated_description": "", "image_url": "https://img.youtube.com/vi/W7BoAZt8AfA/hqdefault.jpg", "youtube_id": "W7BoAZt8AfA", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-1"}, {"translated_youtube_id": "xG_XJ2ywi6M", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-2", "duration": 76, "translated_title": "Solving equations and inequalities through substitution example 2", "translated_description_html": "", "id": "x2987e1d5", "description_html": "", "title": "Solving equations and inequalities through substitution example 2", "progress_key": "vx2987e1d5", "edit_slug": "edit/v/x2987e1d5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.mp4/xG_XJ2ywi6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.mp4/xG_XJ2ywi6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.m3u8/xG_XJ2ywi6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xG_XJ2ywi6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2987e1d5", "sha": "6142c32705b92f342e84680f18e862c95689c0d3", "translated_description": "", "image_url": "https://img.youtube.com/vi/xG_XJ2ywi6M/hqdefault.jpg", "youtube_id": "xG_XJ2ywi6M", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-2"}, {"translated_youtube_id": "_ghnnjzwCTc", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-3", "duration": 144, "translated_title": "Solving equations and inequalities through substitution example 3", "translated_description_html": "", "id": "x3603c992", "description_html": "", "title": "Solving equations and inequalities through substitution example 3", "progress_key": "vx3603c992", "edit_slug": "edit/v/x3603c992", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.mp4/_ghnnjzwCTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.mp4/_ghnnjzwCTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.m3u8/_ghnnjzwCTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ghnnjzwCTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3603c992", "sha": "64e5be9e05294a04d88e4fa9e9085a7e08424f7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_ghnnjzwCTc/hqdefault.jpg", "youtube_id": "_ghnnjzwCTc", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-3"}, {"translated_youtube_id": "E_6ysOVUI6A", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-4", "duration": 153, "translated_title": "Solving equations and inequalities through substitution example 4", "translated_description_html": "", "id": "xe78fdf7d", "description_html": "", "title": "Solving equations and inequalities through substitution example 4", "progress_key": "vxe78fdf7d", "edit_slug": "edit/v/xe78fdf7d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.mp4/E_6ysOVUI6A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.mp4/E_6ysOVUI6A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.m3u8/E_6ysOVUI6A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E_6ysOVUI6A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe78fdf7d", "sha": "aa2e4ec79c72d832787f6133959c1f4c8daf8262", "translated_description": "", "image_url": "https://img.youtube.com/vi/E_6ysOVUI6A/hqdefault.jpg", "youtube_id": "E_6ysOVUI6A", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-4"}], "twitter_url": "", "translated_description": "The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them.\n\nCommon Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them.\n\nCommon Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7", "x_pos": 0.0, "node_slug": "cc-6th-equations-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1db64bec", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equations-inequalities", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equations-inequalities", "slug": "cc-6th-equations-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ada2e3b526e6328d2c96b0a4f51b942307bb166c", "standalone_title": "Solving equations and inequalities", "y_pos": 0.0, "current_revision_key": "ada2e3b526e6328d2c96b0a4f51b942307bb166c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-solving-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-solving-equations", "translated_standalone_title": "Thinking about solving equations", "translated_title": "Thinking about solving equations", "gplus_url": "", "id": "x6724c587", "old_key_name": null, "hide": false, "title": "Thinking about solving equations", "child_data": [{"kind": "Video", "id": 948454929}, {"kind": "Video", "id": 948457910}, {"kind": "Video", "id": 948578231}, {"kind": "Video", "id": 1032479359}, {"kind": "Exercise", "id": 1031282414}, {"kind": "Video", "id": 1032539728}, {"kind": "Video", "id": 948526680}, {"kind": "Exercise", "id": 415207944}], "children": [{"translated_youtube_id": "5FBDqY41GjU", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 1", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "duration": 152, "translated_title": "Why we do the same thing to both sides: Simple equations", "translated_description_html": "Thinking about how to solve for an unknown mystery mass", "id": "948454929", "description_html": "Thinking about how to solve for an unknown mystery mass", "title": "Why we do the same thing to both sides: Simple equations", "progress_key": "v948454929", "edit_slug": "edit/v/948454929", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about how to solve for an unknown mystery mass", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T17:50:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.m3u8/5FBDqY41GjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FBDqY41GjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948454929", "sha": "cebead3e4c7498a415db506f1d913f537e7e5fea", "translated_description": "Thinking about how to solve for an unknown mystery mass", "image_url": "https://img.youtube.com/vi/5FBDqY41GjU/hqdefault.jpg", "youtube_id": "5FBDqY41GjU", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--simple-equations"}, {"translated_youtube_id": "XN48Ba9Ncr8", "relative_url": "/video/representing-a-relationship-with-a-simple-equation", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 2", "ka_url": "http://www.khanacademy.org/video/representing-a-relationship-with-a-simple-equation", "duration": 204, "translated_title": "Representing a relationship with a simple equation", "translated_description_html": "Why we can represent the unknown mass problem as a simple equation", "id": "948457910", "description_html": "Why we can represent the unknown mass problem as a simple equation", "title": "Representing a relationship with a simple equation", "progress_key": "v948457910", "edit_slug": "edit/v/948457910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we can represent the unknown mass problem as a simple equation", "extra_properties": null, "node_slug": "v/representing-a-relationship-with-a-simple-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-08-07T17:53:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.m3u8/XN48Ba9Ncr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XN48Ba9Ncr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948457910", "sha": "cfecf578755c23b89ff9a6ef026be1127897b421", "translated_description": "Why we can represent the unknown mass problem as a simple equation", "image_url": "https://img.youtube.com/vi/XN48Ba9Ncr8/hqdefault.jpg", "youtube_id": "XN48Ba9Ncr8", "content_kind": "Video", "readable_id": "representing-a-relationship-with-a-simple-equation"}, {"translated_youtube_id": "kbqO0YTUyAY", "relative_url": "/video/one-step-equation-intuition", "has_questions": false, "keywords": "algebra, systems, of, equations", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition", "duration": 279, "translated_title": "One-step equation intuition", "translated_description_html": "Why we solve one-step equations the way we do.", "id": "948578231", "description_html": "Why we solve one-step equations the way we do.", "title": "One-step equation intuition", "progress_key": "v948578231", "edit_slug": "edit/v/948578231", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we solve one-step equations the way we do.", "extra_properties": null, "node_slug": "v/one-step-equation-intuition", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-08-07T18:03:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.m3u8/kbqO0YTUyAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kbqO0YTUyAY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948578231", "sha": "2719cb91be7efdb88bb27d88eabbe6f9ff659e43", "translated_description": "Why we solve one-step equations the way we do.", "image_url": "https://img.youtube.com/vi/kbqO0YTUyAY/hqdefault.jpg", "youtube_id": "kbqO0YTUyAY", "content_kind": "Video", "readable_id": "one-step-equation-intuition"}, {"translated_youtube_id": "kZoFI_fcC74", "relative_url": "/video/one-step-equation-intuition-exercise-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition-exercise-intro", "duration": 111, "translated_title": "One step equation intuition exercise intro", "translated_description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "id": "1032479359", "description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "title": "One step equation intuition exercise intro", "progress_key": "v1032479359", "edit_slug": "edit/v/1032479359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "extra_properties": null, "node_slug": "v/one-step-equation-intuition-exercise-intro", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-11T18:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.m3u8/kZoFI_fcC74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kZoFI_fcC74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032479359", "sha": "384b591b53a8eda4528616bf49134df1da50dae4", "translated_description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "image_url": "https://img.youtube.com/vi/kZoFI_fcC74/hqdefault.jpg", "youtube_id": "kZoFI_fcC74", "content_kind": "Video", "readable_id": "one-step-equation-intuition-exercise-intro"}, {"translated_youtube_id": "jWpiMu5LNdg", "relative_url": "/video/adding-and-subtracting-the-same-thing-from-both-sides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-the-same-thing-from-both-sides", "duration": 129, "translated_title": "Adding and subtracting the same thing from both sides", "translated_description_html": "Two worked examples of solving simple equations", "id": "1032539728", "description_html": "Two worked examples of solving simple equations", "title": "Adding and subtracting the same thing from both sides", "progress_key": "v1032539728", "edit_slug": "edit/v/1032539728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Two worked examples of solving simple equations", "extra_properties": null, "node_slug": "v/adding-and-subtracting-the-same-thing-from-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-11T20:47:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.m3u8/jWpiMu5LNdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jWpiMu5LNdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032539728", "sha": "b9ccc00f01fb7c3087e140c1498cdb382919c835", "translated_description": "Two worked examples of solving simple equations", "image_url": "https://img.youtube.com/vi/jWpiMu5LNdg/hqdefault.jpg", "youtube_id": "jWpiMu5LNdg", "content_kind": "Video", "readable_id": "adding-and-subtracting-the-same-thing-from-both-sides"}, {"translated_youtube_id": "Ye13MIPv6n0", "relative_url": "/video/intuition-why-we-divide-both-sides", "has_questions": false, "keywords": "algebra, equations", "ka_url": "http://www.khanacademy.org/video/intuition-why-we-divide-both-sides", "duration": 194, "translated_title": "Intuition why we divide both sides", "translated_description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "id": "948526680", "description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "title": "Intuition why we divide both sides", "progress_key": "v948526680", "edit_slug": "edit/v/948526680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "extra_properties": null, "node_slug": "v/intuition-why-we-divide-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T18:02:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.m3u8/Ye13MIPv6n0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ye13MIPv6n0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948526680", "sha": "12b05f6db91e4af3d23c4066bf3da132e1aad6f8", "translated_description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "image_url": "https://img.youtube.com/vi/Ye13MIPv6n0/hqdefault.jpg", "youtube_id": "Ye13MIPv6n0", "content_kind": "Video", "readable_id": "intuition-why-we-divide-both-sides"}], "twitter_url": "", "translated_description": "Much of algebra seems obsessed with \"doing the same thing to both sides\". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't? This tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.\n\nCommon Core Standard: 6.EE.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Much of algebra seems obsessed with \"doing the same thing to both sides\". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't? This tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.\n\nCommon Core Standard: 6.EE.B.7", "x_pos": 0.0, "node_slug": "cc-6th-solving-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6724c587", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-solving-equations", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-solving-equations", "slug": "cc-6th-solving-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1aecec83338c7a6bf0ecbf3c68dc83cb7ee1989b", "standalone_title": "Thinking about solving equations", "y_pos": 0.0, "current_revision_key": "1aecec83338c7a6bf0ecbf3c68dc83cb7ee1989b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-super-yoga", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-super-yoga", "translated_standalone_title": "Super Yoga Plans", "translated_title": "Super Yoga plans", "gplus_url": "", "id": "x62539c9c", "old_key_name": null, "hide": false, "title": "Super Yoga plans", "child_data": [{"kind": "Video", "id": 1094227108}, {"kind": "Video", "id": 1094119956}, {"kind": "Exercise", "id": "x148a27a6"}, {"kind": "Exercise", "id": "xa07e82d9"}], "children": [{"translated_youtube_id": "3tRc6mUumFk", "relative_url": "/video/super-yoga-plans--basic-variables-and-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--basic-variables-and-equations", "duration": 439, "translated_title": "Super Yoga plans: Basic variables and equations", "translated_description_html": "Beginning to evaluate which yoga plan is better for me", "id": "1094227108", "description_html": "Beginning to evaluate which yoga plan is better for me", "title": "Super Yoga plans: Basic variables and equations", "progress_key": "v1094227108", "edit_slug": "edit/v/1094227108", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beginning to evaluate which yoga plan is better for me", "extra_properties": null, "node_slug": "v/super-yoga-plans--basic-variables-and-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-10-18T17:51:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.m3u8/3tRc6mUumFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tRc6mUumFk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094227108", "sha": "a4f1e5ec27ebe9ec630c22120ef3168d8573c9b4", "translated_description": "Beginning to evaluate which yoga plan is better for me", "image_url": "https://img.youtube.com/vi/3tRc6mUumFk/hqdefault.jpg", "youtube_id": "3tRc6mUumFk", "content_kind": "Video", "readable_id": "super-yoga-plans--basic-variables-and-equations"}, {"translated_youtube_id": "hq1bUM2tyg0", "relative_url": "/video/super-yoga-plans--solving-one-step-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-one-step-equations", "duration": 460, "translated_title": "Super Yoga plans: Solving one-step equations", "translated_description_html": "Solving one-step equations to see how many sessions can be attended", "id": "1094119956", "description_html": "Solving one-step equations to see how many sessions can be attended", "title": "Super Yoga plans: Solving one-step equations", "progress_key": "v1094119956", "edit_slug": "edit/v/1094119956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving one-step equations to see how many sessions can be attended", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:52:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.m3u8/hq1bUM2tyg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hq1bUM2tyg0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094119956", "sha": "f42f7f9bcc557deebf3154c04c6bd83f1fb5bc41", "translated_description": "Solving one-step equations to see how many sessions can be attended", "image_url": "https://img.youtube.com/vi/hq1bUM2tyg0/hqdefault.jpg", "youtube_id": "hq1bUM2tyg0", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-one-step-equations"}], "twitter_url": "", "translated_description": "Let's use our algebra tools to solve problems of earth-shattering importance (like which gym plan you should choose)!\n\nCommon Core Standard: 6.EE.B.6\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's use our algebra tools to solve problems of earth-shattering importance (like which gym plan you should choose)!\n\nCommon Core Standard: 6.EE.B.6\t", "x_pos": 0.0, "node_slug": "cc-6th-super-yoga", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax62539c9c", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-super-yoga", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-super-yoga", "slug": "cc-6th-super-yoga", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1cf42e20383a9f993b59c51420a75b1999f298ad", "standalone_title": "Super Yoga Plans", "y_pos": 0.0, "current_revision_key": "1cf42e20383a9f993b59c51420a75b1999f298ad", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-beginner-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-beginner-equations", "translated_standalone_title": "Equations for beginners", "translated_title": "Equations for beginners", "gplus_url": "", "id": "xf1c87ac9", "old_key_name": null, "hide": false, "title": "Equations for beginners", "child_data": [{"kind": "Video", "id": 7}, {"kind": "Exercise", "id": 415207944}, {"kind": "Video", "id": 13179466}, {"kind": "Exercise", "id": 2012}, {"kind": "Video", "id": 13179465}, {"kind": "Video", "id": 23614}, {"kind": "Exercise", "id": 363799134}], "children": [{"translated_youtube_id": "9Ek61w1LxSc", "relative_url": "/video/simple-equations", "has_questions": false, "keywords": "algebra, introduction, CC_6_EE_5, CC_7_EE_1, CC_7_EE_4", "ka_url": "http://www.khanacademy.org/video/simple-equations", "duration": 666, "translated_title": "Simple equations of the form ax = b", "translated_description_html": "

Introduction to basic algebraic equations of the form Ax=B<\/p>\n", "id": "7", "description_html": "

Introduction to basic algebraic equations of the form Ax=B<\/p>\n", "title": "Simple equations of the form ax = b", "progress_key": "v7", "edit_slug": "edit/v/7", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to basic algebraic equations of the form Ax=B\n", "extra_properties": {"original_url": ""}, "node_slug": "v/simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.m3u8/9Ek61w1LxSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Ek61w1LxSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v7", "sha": "5a99155c3b41d7e5288c39362498ac22a87e0efe", "translated_description": "Introduction to basic algebraic equations of the form Ax=B\n", "image_url": "https://img.youtube.com/vi/9Ek61w1LxSc/hqdefault.jpg", "youtube_id": "9Ek61w1LxSc", "content_kind": "Video", "readable_id": "simple-equations"}, {"translated_youtube_id": "DqeMQHomwAU", "relative_url": "/video/solving-one-step-equations-2", "has_questions": false, "keywords": "u10_L1_T1_we3, Solving, One-Step, Equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/solving-one-step-equations-2", "duration": 143, "translated_title": "Example solving x/3 = 14", "translated_description_html": "

Solving One-Step Equations 2<\/p>\n", "id": "13179466", "description_html": "

Solving One-Step Equations 2<\/p>\n", "title": "Example solving x/3 = 14", "progress_key": "v13179466", "edit_slug": "edit/v/13179466", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving One-Step Equations 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-one-step-equations-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.m3u8/DqeMQHomwAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DqeMQHomwAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179466", "sha": "61d1c1855e523308a4d745d3ce17b443671b836f", "translated_description": "Solving One-Step Equations 2\n", "image_url": "https://img.youtube.com/vi/DqeMQHomwAU/hqdefault.jpg", "youtube_id": "DqeMQHomwAU", "content_kind": "Video", "readable_id": "solving-one-step-equations-2"}, {"translated_youtube_id": "VidnbCEOGdg", "relative_url": "/video/solving-one-step-equations", "has_questions": "live", "keywords": "u10_L1_T1_we2, Solving, One-Step, Equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/solving-one-step-equations", "duration": 114, "translated_title": "Example solving x + 5 = 54", "translated_description_html": "

Solving One-Step Equations<\/p>\n", "id": "13179465", "description_html": "

Solving One-Step Equations<\/p>\n", "title": "Example solving x + 5 = 54", "progress_key": "v13179465", "edit_slug": "edit/v/13179465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving One-Step Equations\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.mp4/VidnbCEOGdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.mp4/VidnbCEOGdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.m3u8/VidnbCEOGdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VidnbCEOGdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179465", "sha": "f350fd84c9e1aafa5cb7989bd5e359562add1e11", "translated_description": "Solving One-Step Equations\n", "image_url": "https://img.youtube.com/vi/VidnbCEOGdg/hqdefault.jpg", "youtube_id": "VidnbCEOGdg", "content_kind": "Video", "readable_id": "solving-one-step-equations"}, {"translated_youtube_id": "9DxrF6Ttws4", "relative_url": "/video/one-step-equations", "has_questions": false, "keywords": "One, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/one-step-equations", "duration": 750, "translated_title": "Examples of one-step equations like ax = b and x + a = b", "translated_description_html": "

One Step Equations<\/p>\n", "id": "23614", "description_html": "

One Step Equations<\/p>\n", "title": "Examples of one-step equations like ax = b and x + a = b", "progress_key": "v23614", "edit_slug": "edit/v/23614", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "One Step Equations\n", "extra_properties": {"original_url": ""}, "node_slug": "v/one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.m3u8/9DxrF6Ttws4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9DxrF6Ttws4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23614", "sha": "18f30f0a878cde478bacb62af662d0291f2b7af2", "translated_description": "One Step Equations\n", "image_url": "https://img.youtube.com/vi/9DxrF6Ttws4/hqdefault.jpg", "youtube_id": "9DxrF6Ttws4", "content_kind": "Video", "readable_id": "one-step-equations"}], "twitter_url": "", "translated_description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar. And, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!\n\nCommon Core Standard: 6.EE.B.7", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar. And, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!\n\nCommon Core Standard: 6.EE.B.7", "x_pos": 0.0, "node_slug": "cc-6th-beginner-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf1c87ac9", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-beginner-equations", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-beginner-equations", "slug": "cc-6th-beginner-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "20ec6e00f260c28b2a3ee91f021064b92335027f", "standalone_title": "Equations for beginners", "y_pos": 0.0, "current_revision_key": "20ec6e00f260c28b2a3ee91f021064b92335027f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-dependent-independent", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-dependent-independent", "translated_standalone_title": "Dependent and independent variables", "translated_title": "Dependent and independent variables", "gplus_url": "", "id": "x408693be", "old_key_name": null, "hide": false, "title": "Dependent and independent variables", "child_data": [{"kind": "Video", "id": "x063b5c9e"}, {"kind": "Video", "id": "x03fbe709"}, {"kind": "Video", "id": "xe757cceb"}, {"kind": "Exercise", "id": "xe7ed8da8"}], "children": [{"translated_youtube_id": "i9j_VUMq5yg", "relative_url": "/video/dependent-and-independent-variables-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-1", "duration": 130, "translated_title": "Dependent and independent variables exercise example 1", "translated_description_html": "", "id": "x063b5c9e", "description_html": "", "title": "Dependent and independent variables exercise example 1", "progress_key": "vx063b5c9e", "edit_slug": "edit/v/x063b5c9e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.mp4/i9j_VUMq5yg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.mp4/i9j_VUMq5yg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.m3u8/i9j_VUMq5yg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i9j_VUMq5yg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx063b5c9e", "sha": "440c3cfe1c392a16c6f2f709ce5e7d35a6a26737", "translated_description": "", "image_url": "https://img.youtube.com/vi/i9j_VUMq5yg/hqdefault.jpg", "youtube_id": "i9j_VUMq5yg", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-1"}, {"translated_youtube_id": "0eWm-LY23W0", "relative_url": "/video/dependent-and-independent-variables-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-2", "duration": 60, "translated_title": "Dependent and independent variables exercise example 2", "translated_description_html": "", "id": "x03fbe709", "description_html": "", "title": "Dependent and independent variables exercise example 2", "progress_key": "vx03fbe709", "edit_slug": "edit/v/x03fbe709", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.mp4/0eWm-LY23W0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.mp4/0eWm-LY23W0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.m3u8/0eWm-LY23W0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0eWm-LY23W0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03fbe709", "sha": "01f952b0f6331de1b3963b1763ae4f8ae03c67ab", "translated_description": "", "image_url": "https://img.youtube.com/vi/0eWm-LY23W0/hqdefault.jpg", "youtube_id": "0eWm-LY23W0", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-2"}, {"translated_youtube_id": "3ACF7L-7Vsg", "relative_url": "/video/dependent-and-independent-variables-exercise-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-3", "duration": 120, "translated_title": "Dependent and independent variables exercise example 3", "translated_description_html": "", "id": "xe757cceb", "description_html": "", "title": "Dependent and independent variables exercise example 3", "progress_key": "vxe757cceb", "edit_slug": "edit/v/xe757cceb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.mp4/3ACF7L-7Vsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.mp4/3ACF7L-7Vsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.m3u8/3ACF7L-7Vsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ACF7L-7Vsg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe757cceb", "sha": "1a636062e7477b55b89f0187e5d2a701efa3f6a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/3ACF7L-7Vsg/hqdefault.jpg", "youtube_id": "3ACF7L-7Vsg", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-3"}], "twitter_url": "", "translated_description": "In some relationships, one variable (the independent one) is thought to drive the behavior of the other one (the dependent one). This tutorial explores this idea further.\n\nCommon Core Standards: 6.EE.C.9", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In some relationships, one variable (the independent one) is thought to drive the behavior of the other one (the dependent one). This tutorial explores this idea further.\n\nCommon Core Standards: 6.EE.C.9", "x_pos": 0.0, "node_slug": "cc-6th-dependent-independent", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax408693be", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-dependent-independent", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-dependent-independent", "slug": "cc-6th-dependent-independent", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2283e0c18c2890971fd51c3b41e3c8cbe4d81238", "standalone_title": "Dependent and independent variables", "y_pos": 0.0, "current_revision_key": "2283e0c18c2890971fd51c3b41e3c8cbe4d81238", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-inequalities", "translated_standalone_title": "Inequalities", "translated_title": "Inequalities", "gplus_url": "", "id": "x05407b8c", "old_key_name": null, "hide": false, "title": "Inequalities", "child_data": [{"kind": "Video", "id": "xc0d659df"}, {"kind": "Exercise", "id": "xc7d12bda"}, {"kind": "Video", "id": 13179473}, {"kind": "Exercise", "id": 213214088}], "children": [{"translated_youtube_id": "aINeMQH77jg", "relative_url": "/video/inequalities-in-one-variable-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inequalities-in-one-variable-1-exercise", "duration": 147, "translated_title": "Inequalities in one variable 1 exercise", "translated_description_html": "", "id": "xc0d659df", "description_html": "", "title": "Inequalities in one variable 1 exercise", "progress_key": "vxc0d659df", "edit_slug": "edit/v/xc0d659df", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/inequalities-in-one-variable-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T15:28:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.mp4/aINeMQH77jg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.mp4/aINeMQH77jg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.m3u8/aINeMQH77jg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aINeMQH77jg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc0d659df", "sha": "f73932224803220801a02006a0349a6d67cffa7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/aINeMQH77jg/hqdefault.jpg", "youtube_id": "aINeMQH77jg", "content_kind": "Video", "readable_id": "inequalities-in-one-variable-1-exercise"}, {"translated_youtube_id": "dTwZ5N126gw", "relative_url": "/video/inequalities-on-a-number-line", "has_questions": false, "keywords": "u10_l2_t1_we1, Inequalities, on, number, line, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4", "ka_url": "http://www.khanacademy.org/video/inequalities-on-a-number-line", "duration": 94, "translated_title": "Inequalities on a number line", "translated_description_html": "Inequalities on a number line", "id": "13179473", "description_html": "Inequalities on a number line", "title": "Inequalities on a number line", "progress_key": "v13179473", "edit_slug": "edit/v/13179473", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Inequalities on a number line", "extra_properties": null, "node_slug": "v/inequalities-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.m3u8/dTwZ5N126gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dTwZ5N126gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179473", "sha": "4559371fe139f630c78abe19e856c95aa2c7f687", "translated_description": "Inequalities on a number line", "image_url": "https://img.youtube.com/vi/dTwZ5N126gw/hqdefault.jpg", "youtube_id": "dTwZ5N126gw", "content_kind": "Video", "readable_id": "inequalities-on-a-number-line"}], "twitter_url": "", "translated_description": "Not all expressions are created equal, but we can still use some algebra to compare them in interesting ways. This tutorial will start you on that journey!\n\nCommon Core Standard: 6.EE.B.8", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Not all expressions are created equal, but we can still use some algebra to compare them in interesting ways. This tutorial will start you on that journey!\n\nCommon Core Standard: 6.EE.B.8", "x_pos": 0.0, "node_slug": "cc-6th-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax05407b8c", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-inequalities", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-inequalities", "slug": "cc-6th-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5b14f5d54d57c22ce4e0461d0ac6f0a864b00653", "standalone_title": "Inequalities", "y_pos": 0.0, "current_revision_key": "5b14f5d54d57c22ce4e0461d0ac6f0a864b00653", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-expressions-and-variables", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8ade30f9", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-expressions-and-variables", "extended_slug": "math/cc-sixth-grade-math/cc-6th-expressions-and-variables", "slug": "cc-6th-expressions-and-variables", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "da5d938f69c9c40c45ed93efea98c5705b204443", "standalone_title": "Variables and expressions", "y_pos": 0.0, "current_revision_key": "da5d938f69c9c40c45ed93efea98c5705b204443", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics", "translated_standalone_title": "Data and statistics", "translated_title": "Data and statistics", "gplus_url": "", "id": "x419abcbd", "old_key_name": null, "hide": false, "title": "Data and statistics", "child_data": [{"kind": "Topic", "id": "x38224069"}, {"kind": "Topic", "id": "x40ebeaa8"}, {"kind": "Topic", "id": "x306fb15a"}, {"kind": "Topic", "id": "xe0ba8083"}, {"kind": "Topic", "id": "x3e61209a"}, {"kind": "Topic", "id": "x071c6c08"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-statistics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-statistics", "translated_standalone_title": "Introduction to statistics", "translated_title": "Introduction to statistics", "gplus_url": "", "id": "x38224069", "old_key_name": null, "hide": false, "title": "Introduction to statistics", "child_data": [{"kind": "Video", "id": 1152738250}, {"kind": "Video", "id": 380854779}, {"kind": "Exercise", "id": 5252991}, {"kind": "Video", "id": "x875b9f8c"}, {"kind": "Exercise", "id": "x0ad1a4ef"}, {"kind": "Video", "id": 1254186879}, {"kind": "Exercise", "id": 366693151}, {"kind": "Exercise", "id": "x2f943910"}, {"kind": "Exercise", "id": "x9b6e3ada"}], "children": [{"translated_youtube_id": "h8EYEJ32oQ8", "relative_url": "/video/statistics-intro--mean--median-and-mode", "has_questions": false, "keywords": "mean, median, mode", "ka_url": "http://www.khanacademy.org/video/statistics-intro--mean--median-and-mode", "duration": 534, "translated_title": "Statistics intro: Mean, median and mode", "translated_description_html": "Using the mean, median and mode to try to represent data", "id": "1152738250", "description_html": "Using the mean, median and mode to try to represent data", "title": "Statistics intro: Mean, median and mode", "progress_key": "v1152738250", "edit_slug": "edit/v/1152738250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the mean, median and mode to try to represent data", "extra_properties": null, "node_slug": "v/statistics-intro--mean--median-and-mode", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-16T15:16:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.m3u8/h8EYEJ32oQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h8EYEJ32oQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1152738250", "sha": "25692621c79e03cb51a7ee96784a6b01e970f976", "translated_description": "Using the mean, median and mode to try to represent data", "image_url": "https://img.youtube.com/vi/h8EYEJ32oQ8/hqdefault.jpg", "youtube_id": "h8EYEJ32oQ8", "content_kind": "Video", "readable_id": "statistics-intro--mean--median-and-mode"}, {"translated_youtube_id": "k3aKKasOmIw", "relative_url": "/video/mean-median-and-mode", "has_questions": false, "keywords": "u08_l2_t1_we1, Mean, Median, and, Mode", "ka_url": "http://www.khanacademy.org/video/mean-median-and-mode", "duration": 235, "translated_title": "Example: Finding mean, median and mode", "translated_description_html": "Mean Median and Mode", "id": "380854779", "description_html": "Mean Median and Mode", "title": "Example: Finding mean, median and mode", "progress_key": "v380854779", "edit_slug": "edit/v/380854779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mean Median and Mode", "extra_properties": null, "node_slug": "v/mean-median-and-mode", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.m3u8/k3aKKasOmIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3aKKasOmIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854779", "sha": "05d4aebed8684e6a2a74dd3e6ba58999122cc778", "translated_description": "Mean Median and Mode", "image_url": "https://img.youtube.com/vi/k3aKKasOmIw/hqdefault.jpg", "youtube_id": "k3aKKasOmIw", "content_kind": "Video", "readable_id": "mean-median-and-mode"}, {"translated_youtube_id": "qyYSQDcSNlY", "relative_url": "/video/statistical-questions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/statistical-questions", "duration": 471, "translated_title": "Statistical and non statistical questions", "translated_description_html": "", "id": "x875b9f8c", "description_html": "", "title": "Statistical and non statistical questions", "progress_key": "vx875b9f8c", "edit_slug": "edit/v/x875b9f8c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/statistical-questions", "deleted": false, "backup_timestamp": "2013-10-25T23:01:06Z", "date_added": "2013-10-25T23:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qyYSQDcSNlY.mp4/qyYSQDcSNlY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qyYSQDcSNlY.mp4/qyYSQDcSNlY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qyYSQDcSNlY.m3u8/qyYSQDcSNlY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qyYSQDcSNlY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx875b9f8c", "sha": "91d754c79ebf57bcef850480860f71a1d420f584", "translated_description": "", "image_url": "https://img.youtube.com/vi/qyYSQDcSNlY/hqdefault.jpg", "youtube_id": "qyYSQDcSNlY", "content_kind": "Video", "readable_id": "statistical-questions"}, {"translated_youtube_id": "n6xCyzOP900", "relative_url": "/video/exploring-mean-and-median-module", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/exploring-mean-and-median-module", "duration": 326, "translated_title": "Exploring mean and median module", "translated_description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "id": "1254186879", "description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "title": "Exploring mean and median module", "progress_key": "v1254186879", "edit_slug": "edit/v/1254186879", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "extra_properties": null, "node_slug": "v/exploring-mean-and-median-module", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T01:52:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.m3u8/n6xCyzOP900.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n6xCyzOP900&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254186879", "sha": "02a6ddf225eba922402581e03d43e8864616f6fa", "translated_description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "image_url": "https://img.youtube.com/vi/n6xCyzOP900/hqdefault.jpg", "youtube_id": "n6xCyzOP900", "content_kind": "Video", "readable_id": "exploring-mean-and-median-module"}], "twitter_url": "", "translated_description": "This tutorial will get you started in your statistics journey. In particular, we'll think about what types of questions can be answered with statistics and come up with some basic measures of central tendency!\n\nCommon Core Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will get you started in your statistics journey. In particular, we'll think about what types of questions can be answered with statistics and come up with some basic measures of central tendency!\n\nCommon Core Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3", "x_pos": 0.0, "node_slug": "cc-6th-statistics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax38224069", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-statistics", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-statistics", "slug": "cc-6th-statistics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "24e9a9e384d6a837f0584e11640844ab592e1aee", "standalone_title": "Introduction to statistics", "y_pos": 0.0, "current_revision_key": "24e9a9e384d6a837f0584e11640844ab592e1aee", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-tables", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-tables", "translated_standalone_title": "Tables", "translated_title": "Tables", "gplus_url": "", "id": "x306fb15a", "old_key_name": null, "hide": false, "title": "Tables", "child_data": [{"kind": "Video", "id": "x94f5ab1b"}, {"kind": "Exercise", "id": 277597973}, {"kind": "Video", "id": "x9216ed62"}, {"kind": "Exercise", "id": 277631368}], "children": [{"translated_youtube_id": "XxmS_7I6c7Y", "relative_url": "/video/reading-tables-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-tables-1", "duration": 126, "translated_title": "Reading tables 1", "translated_description_html": "", "id": "x94f5ab1b", "description_html": "", "title": "Reading tables 1", "progress_key": "vx94f5ab1b", "edit_slug": "edit/v/x94f5ab1b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-tables-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.mp4/XxmS_7I6c7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.mp4/XxmS_7I6c7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.m3u8/XxmS_7I6c7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XxmS_7I6c7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx94f5ab1b", "sha": "7eaf2c9a660c06871d4ccc362546ce274f400750", "translated_description": "", "image_url": "https://img.youtube.com/vi/XxmS_7I6c7Y/hqdefault.jpg", "youtube_id": "XxmS_7I6c7Y", "content_kind": "Video", "readable_id": "reading-tables-1"}, {"translated_youtube_id": "4QX-tMRR0TE", "relative_url": "/video/reading-tables-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-tables-2", "duration": 148, "translated_title": "Reading tables 2", "translated_description_html": "", "id": "x9216ed62", "description_html": "", "title": "Reading tables 2", "progress_key": "vx9216ed62", "edit_slug": "edit/v/x9216ed62", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-tables-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.mp4/4QX-tMRR0TE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.mp4/4QX-tMRR0TE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.m3u8/4QX-tMRR0TE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4QX-tMRR0TE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9216ed62", "sha": "6686fd75a4113e4b9ed8f6232b933fcc93266df2", "translated_description": "", "image_url": "https://img.youtube.com/vi/4QX-tMRR0TE/hqdefault.jpg", "youtube_id": "4QX-tMRR0TE", "content_kind": "Video", "readable_id": "reading-tables-2"}], "twitter_url": "", "translated_description": "Tables are probably the most frequently used way to depict data (someone should make a table on this). This tutorial will give you practice getting familiar with them!\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Tables are probably the most frequently used way to depict data (someone should make a table on this). This tutorial will give you practice getting familiar with them!\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5\t", "x_pos": 0.0, "node_slug": "cc-6th-tables", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax306fb15a", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-tables", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-tables", "slug": "cc-6th-tables", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "86f7dd443114898809b988ca5ba0a57557151312", "standalone_title": "Tables", "y_pos": 0.0, "current_revision_key": "86f7dd443114898809b988ca5ba0a57557151312", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots", "translated_standalone_title": "Box and whisker plots", "translated_title": "Box and whisker plots", "gplus_url": "", "id": "xe0ba8083", "old_key_name": null, "hide": false, "title": "Box and whisker plots", "child_data": [{"kind": "Video", "id": 380860448}, {"kind": "Video", "id": 1164226773}, {"kind": "Video", "id": 380873090}, {"kind": "Exercise", "id": 458480641}, {"kind": "Video", "id": 380854781}], "children": [{"translated_youtube_id": "b2C9I8HuCe4", "relative_url": "/video/reading-box-and-whisker-plots", "has_questions": false, "keywords": "u08_l2_t1_we4, Reading, Box-and-Whisker, Plots", "ka_url": "http://www.khanacademy.org/video/reading-box-and-whisker-plots", "duration": 198, "translated_title": "Reading box-and-whisker plots", "translated_description_html": "Reading Box-and-Whisker Plots", "id": "380860448", "description_html": "Reading Box-and-Whisker Plots", "title": "Reading box-and-whisker plots", "progress_key": "v380860448", "edit_slug": "edit/v/380860448", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Box-and-Whisker Plots", "extra_properties": null, "node_slug": "v/reading-box-and-whisker-plots", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.m3u8/b2C9I8HuCe4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b2C9I8HuCe4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860448", "sha": "5149373a67f9e53bfecb2d81fe3519ea35e3c41f", "translated_description": "Reading Box-and-Whisker Plots", "image_url": "https://img.youtube.com/vi/b2C9I8HuCe4/hqdefault.jpg", "youtube_id": "b2C9I8HuCe4", "content_kind": "Video", "readable_id": "reading-box-and-whisker-plots"}, {"translated_youtube_id": "09Cx7xuIXig", "relative_url": "/video/constructing-a-box-and-whisker-plot", "has_questions": false, "keywords": "box, whisker, plot", "ka_url": "http://www.khanacademy.org/video/constructing-a-box-and-whisker-plot", "duration": 498, "translated_title": "Constructing a box-and-whisker plot", "translated_description_html": "Constructing a box and whisker plot to analyze data.", "id": "1164226773", "description_html": "Constructing a box and whisker plot to analyze data.", "title": "Constructing a box-and-whisker plot", "progress_key": "v1164226773", "edit_slug": "edit/v/1164226773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing a box and whisker plot to analyze data.", "extra_properties": null, "node_slug": "v/constructing-a-box-and-whisker-plot", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-21T21:16:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.m3u8/09Cx7xuIXig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=09Cx7xuIXig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164226773", "sha": "430e84f13741bef794746da8a624f2a4f93564c7", "translated_description": "Constructing a box and whisker plot to analyze data.", "image_url": "https://img.youtube.com/vi/09Cx7xuIXig/hqdefault.jpg", "youtube_id": "09Cx7xuIXig", "content_kind": "Video", "readable_id": "constructing-a-box-and-whisker-plot"}, {"translated_youtube_id": "-M0Fi0ijnJs", "relative_url": "/video/box-and-whisker-plots", "has_questions": false, "keywords": "u08_l3_t1_we1, Box-and-Whisker, Plots", "ka_url": "http://www.khanacademy.org/video/box-and-whisker-plots", "duration": 605, "translated_title": "Box-and-whisker plots", "translated_description_html": "Box-and-Whisker Plots", "id": "380873090", "description_html": "Box-and-Whisker Plots", "title": "Box-and-whisker plots", "progress_key": "v380873090", "edit_slug": "edit/v/380873090", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Box-and-Whisker Plots", "extra_properties": null, "node_slug": "v/box-and-whisker-plots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.mp4/-M0Fi0ijnJs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.mp4/-M0Fi0ijnJs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.m3u8/-M0Fi0ijnJs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-M0Fi0ijnJs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380873090", "sha": "a41ba2df0b14d2fbc9591dcc3dc35785be082746", "translated_description": "Box-and-Whisker Plots", "image_url": "https://img.youtube.com/vi/-M0Fi0ijnJs/hqdefault.jpg", "youtube_id": "-M0Fi0ijnJs", "content_kind": "Video", "readable_id": "box-and-whisker-plots"}, {"translated_youtube_id": "7DtWXEPB_AI", "relative_url": "/video/range-and-mid-range", "has_questions": false, "keywords": "u08_l2_t1_we2, Range, and, Mid-range", "ka_url": "http://www.khanacademy.org/video/range-and-mid-range", "duration": 123, "translated_title": "Example: Range and mid-range", "translated_description_html": "Range and Mid-range", "id": "380854781", "description_html": "Range and Mid-range", "title": "Example: Range and mid-range", "progress_key": "v380854781", "edit_slug": "edit/v/380854781", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Range and Mid-range", "extra_properties": null, "node_slug": "v/range-and-mid-range", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.m3u8/7DtWXEPB_AI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7DtWXEPB_AI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854781", "sha": "d0b426e433dda9d1a7488d8d9aec6d50a17986a1", "translated_description": "Range and Mid-range", "image_url": "https://img.youtube.com/vi/7DtWXEPB_AI/hqdefault.jpg", "youtube_id": "7DtWXEPB_AI", "content_kind": "Video", "readable_id": "range-and-mid-range"}], "twitter_url": "", "translated_description": "Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. \n\nCommon Core Standard: 6.SP.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. \n\nCommon Core Standard: 6.SP.B.4", "x_pos": 0.0, "node_slug": "cc-6th-box-whisker-plots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0ba8083", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots", "slug": "cc-6th-box-whisker-plots", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c2fcd48bee698fbf587c9d207b4873930026fa34", "standalone_title": "Box and whisker plots", "y_pos": 0.0, "current_revision_key": "c2fcd48bee698fbf587c9d207b4873930026fa34", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-bar-charts", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-bar-charts", "translated_standalone_title": "Bar charts", "translated_title": "Bar charts", "gplus_url": "", "id": "x3e61209a", "old_key_name": null, "hide": false, "title": "Bar charts", "child_data": [{"kind": "Video", "id": "x2548e1a0"}, {"kind": "Exercise", "id": 280662526}, {"kind": "Video", "id": "xc848f662"}, {"kind": "Exercise", "id": 458428444}, {"kind": "Video", "id": "x4f968262"}, {"kind": "Exercise", "id": 458405550}, {"kind": "Video", "id": "xb3b8475c"}], "children": [{"translated_youtube_id": "9YjXGLWMvCM", "relative_url": "/video/reading-bar-charts-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-1", "duration": 52, "translated_title": "Reading bar charts 1", "translated_description_html": "", "id": "x2548e1a0", "description_html": "", "title": "Reading bar charts 1", "progress_key": "vx2548e1a0", "edit_slug": "edit/v/x2548e1a0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.mp4/9YjXGLWMvCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.mp4/9YjXGLWMvCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.m3u8/9YjXGLWMvCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9YjXGLWMvCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2548e1a0", "sha": "ba4e918c0fb90ae2d74db680bd371b874c038dfb", "translated_description": "", "image_url": "https://img.youtube.com/vi/9YjXGLWMvCM/hqdefault.jpg", "youtube_id": "9YjXGLWMvCM", "content_kind": "Video", "readable_id": "reading-bar-charts-1"}, {"translated_youtube_id": "woUQ9LLaees", "relative_url": "/video/creating-bar-charts-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/creating-bar-charts-1", "duration": 67, "translated_title": "Creating bar charts 1", "translated_description_html": "", "id": "xc848f662", "description_html": "", "title": "Creating bar charts 1", "progress_key": "vxc848f662", "edit_slug": "edit/v/xc848f662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/creating-bar-charts-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.mp4/woUQ9LLaees.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.mp4/woUQ9LLaees.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.m3u8/woUQ9LLaees.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=woUQ9LLaees&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc848f662", "sha": "dfd481d82ffda174e4643084c8f90ed987a456a4", "translated_description": "", "image_url": "https://img.youtube.com/vi/woUQ9LLaees/hqdefault.jpg", "youtube_id": "woUQ9LLaees", "content_kind": "Video", "readable_id": "creating-bar-charts-1"}, {"translated_youtube_id": "gnyHsgTFXIY", "relative_url": "/video/reading-bar-charts-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-2", "duration": 90, "translated_title": "Reading bar charts 2", "translated_description_html": "", "id": "x4f968262", "description_html": "", "title": "Reading bar charts 2", "progress_key": "vx4f968262", "edit_slug": "edit/v/x4f968262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-06T00:04:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.mp4/gnyHsgTFXIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.mp4/gnyHsgTFXIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.m3u8/gnyHsgTFXIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gnyHsgTFXIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f968262", "sha": "882b68fb370312a492dc8ae0a940d1e85f6bdeae", "translated_description": "", "image_url": "https://img.youtube.com/vi/gnyHsgTFXIY/hqdefault.jpg", "youtube_id": "gnyHsgTFXIY", "content_kind": "Video", "readable_id": "reading-bar-charts-2"}, {"translated_youtube_id": "DGZNaKnbQo0", "relative_url": "/video/reading-bar-charts-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-3", "duration": 281, "translated_title": "Reading bar charts 3", "translated_description_html": "", "id": "xb3b8475c", "description_html": "", "title": "Reading bar charts 3", "progress_key": "vxb3b8475c", "edit_slug": "edit/v/xb3b8475c", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.mp4/DGZNaKnbQo0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.mp4/DGZNaKnbQo0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.m3u8/DGZNaKnbQo0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DGZNaKnbQo0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb3b8475c", "sha": "f738561dc4752334e37de6a33d7866f80a32afbb", "translated_description": "", "image_url": "https://img.youtube.com/vi/DGZNaKnbQo0/hqdefault.jpg", "youtube_id": "DGZNaKnbQo0", "content_kind": "Video", "readable_id": "reading-bar-charts-3"}], "twitter_url": "", "translated_description": "Bar charts are everywhere. They make it easy for us to compare data and see trends. \n\nCommon Core Standard: 6.SP.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Bar charts are everywhere. They make it easy for us to compare data and see trends. \n\nCommon Core Standard: 6.SP.B.4", "x_pos": 0.0, "node_slug": "cc-6th-bar-charts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e61209a", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-bar-charts", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-bar-charts", "slug": "cc-6th-bar-charts", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cf5bd0536af1e7641c8fce6d86e5c890ad649d83", "standalone_title": "Bar charts", "y_pos": 0.0, "current_revision_key": "cf5bd0536af1e7641c8fce6d86e5c890ad649d83", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-line-picto-graphs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-line-picto-graphs", "translated_standalone_title": "Pictographs and line graphs", "translated_title": "Pictographs and line graphs", "gplus_url": "", "id": "x071c6c08", "old_key_name": null, "hide": false, "title": "Pictographs and line graphs", "child_data": [{"kind": "Video", "id": 380860451}, {"kind": "Exercise", "id": 458500039}, {"kind": "Exercise", "id": 458495355}, {"kind": "Video", "id": 380860452}, {"kind": "Exercise", "id": 292989605}], "children": [{"translated_youtube_id": "qrVvpYt3Vl0", "relative_url": "/video/reading-pictographs", "has_questions": false, "keywords": "u08_l1_t1_we1, Reading, Pictographs", "ka_url": "http://www.khanacademy.org/video/reading-pictographs", "duration": 141, "translated_title": "Reading pictographs", "translated_description_html": "Reading Pictographs", "id": "380860451", "description_html": "Reading Pictographs", "title": "Reading pictographs", "progress_key": "v380860451", "edit_slug": "edit/v/380860451", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Pictographs", "extra_properties": null, "node_slug": "v/reading-pictographs", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.m3u8/qrVvpYt3Vl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qrVvpYt3Vl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860451", "sha": "f8ed520e7a9485f36cdaa716f3c763b3f757500a", "translated_description": "Reading Pictographs", "image_url": "https://img.youtube.com/vi/qrVvpYt3Vl0/hqdefault.jpg", "youtube_id": "qrVvpYt3Vl0", "content_kind": "Video", "readable_id": "reading-pictographs"}, {"translated_youtube_id": "36v2EXZRzUE", "relative_url": "/video/u08-l1-t2-we2-reading-line-graphs", "has_questions": false, "keywords": "u08_l1_t2_we2, Reading, Line, Graphs", "ka_url": "http://www.khanacademy.org/video/u08-l1-t2-we2-reading-line-graphs", "duration": 141, "translated_title": "Reading line graphs", "translated_description_html": "Reading Line Graphs", "id": "380860452", "description_html": "Reading Line Graphs", "title": "Reading line graphs", "progress_key": "v380860452", "edit_slug": "edit/v/380860452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Line Graphs", "extra_properties": null, "node_slug": "v/u08-l1-t2-we2-reading-line-graphs", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.mp4/36v2EXZRzUE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.mp4/36v2EXZRzUE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.m3u8/36v2EXZRzUE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=36v2EXZRzUE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860452", "sha": "a3a056c9f2a74135cbb6cd012c377d2525c3a521", "translated_description": "Reading Line Graphs", "image_url": "https://img.youtube.com/vi/36v2EXZRzUE/hqdefault.jpg", "youtube_id": "36v2EXZRzUE", "content_kind": "Video", "readable_id": "u08-l1-t2-we2-reading-line-graphs"}], "twitter_url": "", "translated_description": "Line graphs are very common ways to see trends in data. Pictographs are less common, but they can be cute to look at (this is why newspapers like to use them).\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Line graphs are very common ways to see trends in data. Pictographs are less common, but they can be cute to look at (this is why newspapers like to use them).\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5", "x_pos": 0.0, "node_slug": "cc-6th-line-picto-graphs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax071c6c08", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-line-picto-graphs", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-line-picto-graphs", "slug": "cc-6th-line-picto-graphs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "098a83f345fe7746f26da0dc38ed18e951787a3d", "standalone_title": "Pictographs and line graphs", "y_pos": 0.0, "current_revision_key": "098a83f345fe7746f26da0dc38ed18e951787a3d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-6th-data-statistics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax419abcbd", "topic_page_url": "/math/cc-sixth-grade-math/cc-6th-data-statistics", "extended_slug": "math/cc-sixth-grade-math/cc-6th-data-statistics", "slug": "cc-6th-data-statistics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3f2c0926bcc35e9f4327132caf034d42535ede38", "standalone_title": "Data and statistics", "y_pos": 0.0, "current_revision_key": "3f2c0926bcc35e9f4327132caf034d42535ede38", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "By the 6th grade, you're starting to become a sophisticated mathemagician. \nYou'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you.\n Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! \n\nAnd if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data!\n\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "By the 6th grade, you're starting to become a sophisticated mathemagician. \nYou'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you.\n Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! \n\nAnd if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data!\n\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-sixth-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0267d782", "topic_page_url": "/math/cc-sixth-grade-math", "extended_slug": "math/cc-sixth-grade-math", "slug": "cc-sixth-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c08bfa8e194f2b4b3f572e184e38f014b44518fe", "standalone_title": "6th grade (U.S.)", "y_pos": 0.0, "current_revision_key": "c08bfa8e194f2b4b3f572e184e38f014b44518fe", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math", "translated_standalone_title": "7th grade (U.S.)", "translated_title": "7th grade (U.S.)", "gplus_url": "", "id": "x6b17ba59", "old_key_name": null, "hide": false, "title": "7th grade (U.S.)", "child_data": [{"kind": "Topic", "id": "x805b3a5e"}, {"kind": "Topic", "id": "x7ef05b40"}, {"kind": "Topic", "id": "xbee72d33"}, {"kind": "Topic", "id": "x0a8c9f98"}, {"kind": "Topic", "id": "xc1a4d524"}, {"kind": "Topic", "id": "x657459cb"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion", "translated_standalone_title": "Ratios, proportions and rates", "translated_title": "Ratios, proportions and rates", "gplus_url": "", "id": "x805b3a5e", "old_key_name": null, "hide": false, "title": "Ratios, proportions and rates", "child_data": [{"kind": "Topic", "id": "x8336dc79"}, {"kind": "Topic", "id": "xda762ce8"}, {"kind": "Topic", "id": "xf5f4a033"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates", "translated_standalone_title": "Rates", "translated_title": "Rates", "gplus_url": "", "id": "x8336dc79", "old_key_name": null, "hide": false, "title": "Rates", "child_data": [{"kind": "Video", "id": "xe876d1a7"}, {"kind": "Video", "id": "x14bc6c1b"}, {"kind": "Exercise", "id": 23890544}], "children": [{"translated_youtube_id": "d8vvVjfTbYY", "relative_url": "/video/rate-problem-with-fractions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rate-problem-with-fractions-1", "duration": 176, "translated_title": "Rate problem with fractions 1", "translated_description_html": "", "id": "xe876d1a7", "description_html": "", "title": "Rate problem with fractions 1", "progress_key": "vxe876d1a7", "edit_slug": "edit/v/xe876d1a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rate-problem-with-fractions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T14:28:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.mp4/d8vvVjfTbYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.mp4/d8vvVjfTbYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.m3u8/d8vvVjfTbYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d8vvVjfTbYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe876d1a7", "sha": "4e85bf97b077781d6fc93626d75ce98a3a138325", "translated_description": "", "image_url": "https://img.youtube.com/vi/d8vvVjfTbYY/hqdefault.jpg", "youtube_id": "d8vvVjfTbYY", "content_kind": "Video", "readable_id": "rate-problem-with-fractions-1"}, {"translated_youtube_id": "HYYGGKChMDE", "relative_url": "/video/unit-cost-with-fractions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-cost-with-fractions-1", "duration": 221, "translated_title": "Unit cost with fractions 1", "translated_description_html": "", "id": "x14bc6c1b", "description_html": "", "title": "Unit cost with fractions 1", "progress_key": "vx14bc6c1b", "edit_slug": "edit/v/x14bc6c1b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-cost-with-fractions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T14:28:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.mp4/HYYGGKChMDE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.mp4/HYYGGKChMDE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.m3u8/HYYGGKChMDE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HYYGGKChMDE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14bc6c1b", "sha": "8bc2f07b9784f7fcc317b3638ed4567699367ec9", "translated_description": "", "image_url": "https://img.youtube.com/vi/HYYGGKChMDE/hqdefault.jpg", "youtube_id": "HYYGGKChMDE", "content_kind": "Video", "readable_id": "unit-cost-with-fractions-1"}], "twitter_url": "", "translated_description": "How fast can a robot possum fly? What is the rate at which a hungry you can consume avocados? \n\nThis tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 7.RP.A.1\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How fast can a robot possum fly? What is the rate at which a hungry you can consume avocados? \n\nThis tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 7.RP.A.1\t", "x_pos": 0.0, "node_slug": "cc-7th-rates", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8336dc79", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates", "extended_slug": "math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates", "slug": "cc-7th-rates", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bbc54dab043df7fd0991333e3ef70ca45a9e3a17", "standalone_title": "Rates", "y_pos": 0.0, "current_revision_key": "bbc54dab043df7fd0991333e3ef70ca45a9e3a17", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel", "translated_standalone_title": "Proportional relationships", "translated_title": "Proportional relationships", "gplus_url": "", "id": "xda762ce8", "old_key_name": null, "hide": false, "title": "Proportional relationships", "child_data": [{"kind": "Video", "id": "x11abdc2d"}, {"kind": "Video", "id": "xfb13ba4e"}, {"kind": "Video", "id": "xcf658b5a"}, {"kind": "Exercise", "id": "x41d29cee"}, {"kind": "Video", "id": "x4c3038cc"}, {"kind": "Video", "id": "x20c99318"}, {"kind": "Exercise", "id": "x5bbd166f"}], "children": [{"translated_youtube_id": "svUt84Touyc", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex1", "duration": 185, "translated_title": "Analyzing and identifying proportional relationships ex1", "translated_description_html": "", "id": "x11abdc2d", "description_html": "", "title": "Analyzing and identifying proportional relationships ex1", "progress_key": "vx11abdc2d", "edit_slug": "edit/v/x11abdc2d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:15:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.mp4/svUt84Touyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.mp4/svUt84Touyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.m3u8/svUt84Touyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=svUt84Touyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx11abdc2d", "sha": "5725a270a7bb43be5955e16c44629437292eb23f", "translated_description": "", "image_url": "https://img.youtube.com/vi/svUt84Touyc/hqdefault.jpg", "youtube_id": "svUt84Touyc", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex1"}, {"translated_youtube_id": "4iUdgr_ccxk", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex2", "duration": 101, "translated_title": "Analyzing and identifying proportional relationships ex2", "translated_description_html": "", "id": "xfb13ba4e", "description_html": "", "title": "Analyzing and identifying proportional relationships ex2", "progress_key": "vxfb13ba4e", "edit_slug": "edit/v/xfb13ba4e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:15:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.mp4/4iUdgr_ccxk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.mp4/4iUdgr_ccxk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.m3u8/4iUdgr_ccxk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4iUdgr_ccxk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfb13ba4e", "sha": "e6ca5b710b1369ed0341f3571a95b6186710e528", "translated_description": "", "image_url": "https://img.youtube.com/vi/4iUdgr_ccxk/hqdefault.jpg", "youtube_id": "4iUdgr_ccxk", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex2"}, {"translated_youtube_id": "jNUz0P5MG9M", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex3", "duration": 63, "translated_title": "Analyzing and identifying proportional relationships ex3", "translated_description_html": "", "id": "xcf658b5a", "description_html": "", "title": "Analyzing and identifying proportional relationships ex3", "progress_key": "vxcf658b5a", "edit_slug": "edit/v/xcf658b5a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-27T00:15:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.mp4/jNUz0P5MG9M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.mp4/jNUz0P5MG9M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.m3u8/jNUz0P5MG9M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jNUz0P5MG9M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcf658b5a", "sha": "6d56f8993242258134650b8d5684ef235ba292d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/jNUz0P5MG9M/hqdefault.jpg", "youtube_id": "jNUz0P5MG9M", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex3"}, {"translated_youtube_id": "b-w0S0EBsfQ", "relative_url": "/video/comparing-proportional-relationships", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships", "duration": 417, "translated_title": "Comparing proportional relationships", "translated_description_html": "", "id": "x4c3038cc", "description_html": "", "title": "Comparing proportional relationships", "progress_key": "vx4c3038cc", "edit_slug": "edit/v/x4c3038cc", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-27T00:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.mp4/b-w0S0EBsfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.mp4/b-w0S0EBsfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.m3u8/b-w0S0EBsfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-w0S0EBsfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4c3038cc", "sha": "2821cdcba3bd10a1f536754488676dc280608dbf", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-w0S0EBsfQ/hqdefault.jpg", "youtube_id": "b-w0S0EBsfQ", "content_kind": "Video", "readable_id": "comparing-proportional-relationships"}, {"translated_youtube_id": "dBGeri4eFv4", "relative_url": "/video/constructing-an-equation-for-a-proportional-relationship", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-an-equation-for-a-proportional-relationship", "duration": 167, "translated_title": "Constructing an equation for a proportional relationship", "translated_description_html": "", "id": "x20c99318", "description_html": "", "title": "Constructing an equation for a proportional relationship", "progress_key": "vx20c99318", "edit_slug": "edit/v/x20c99318", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-an-equation-for-a-proportional-relationship", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.mp4/dBGeri4eFv4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.mp4/dBGeri4eFv4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.m3u8/dBGeri4eFv4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dBGeri4eFv4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx20c99318", "sha": "ba7bf830bf5f0d8b6f02a15eb10e941346243b5b", "translated_description": "", "image_url": "https://img.youtube.com/vi/dBGeri4eFv4/hqdefault.jpg", "youtube_id": "dBGeri4eFv4", "content_kind": "Video", "readable_id": "constructing-an-equation-for-a-proportional-relationship"}], "twitter_url": "", "translated_description": "In this tutorial we'll think deeper about how one variable changes with respect to another. Pay attention because you'll find that these ideas will keep popping up in your life!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll think deeper about how one variable changes with respect to another. Pay attention because you'll find that these ideas will keep popping up in your life!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d", "x_pos": 0.0, "node_slug": "cc-7th-proportional-rel", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda762ce8", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel", "extended_slug": "math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel", "slug": "cc-7th-proportional-rel", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bb1284ca747c6d43b643b5d4e8944943e672d962", "standalone_title": "Proportional relationships", "y_pos": 0.0, "current_revision_key": "bb1284ca747c6d43b643b5d4e8944943e672d962", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-constructing-proportions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-constructing-proportions", "translated_standalone_title": "Constructing proportions", "translated_title": "Constructing proportions", "gplus_url": "", "id": "xf5f4a033", "old_key_name": null, "hide": false, "title": "Constructing proportions", "child_data": [{"kind": "Video", "id": 211185145}, {"kind": "Exercise", "id": 201421177}, {"kind": "Video", "id": "x87db4436"}, {"kind": "Exercise", "id": "xc131681e"}], "children": [{"translated_youtube_id": "96ZEmUbnuU8", "relative_url": "/video/writing-proportions", "has_questions": false, "keywords": "algebra, math, proportions, ratios", "ka_url": "http://www.khanacademy.org/video/writing-proportions", "duration": 351, "translated_title": "Writing proportions", "translated_description_html": "Setting up proportions to solve a word problem", "id": "211185145", "description_html": "Setting up proportions to solve a word problem", "title": "Writing proportions", "progress_key": "v211185145", "edit_slug": "edit/v/211185145", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Setting up proportions to solve a word problem", "extra_properties": null, "node_slug": "v/writing-proportions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-24T10:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.m3u8/96ZEmUbnuU8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=96ZEmUbnuU8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211185145", "sha": "203e6f3559796874f812079f765e62c8337acf00", "translated_description": "Setting up proportions to solve a word problem", "image_url": "https://img.youtube.com/vi/96ZEmUbnuU8/hqdefault.jpg", "youtube_id": "96ZEmUbnuU8", "content_kind": "Video", "readable_id": "writing-proportions"}, {"translated_youtube_id": "AEKztz8ubSM", "relative_url": "/video/constructing-proportions-to-solve-application-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-proportions-to-solve-application-problems", "duration": 298, "translated_title": "Constructing proportions to solve application problems", "translated_description_html": "", "id": "x87db4436", "description_html": "", "title": "Constructing proportions to solve application problems", "progress_key": "vx87db4436", "edit_slug": "edit/v/x87db4436", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-proportions-to-solve-application-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T17:42:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.mp4/AEKztz8ubSM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.mp4/AEKztz8ubSM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.m3u8/AEKztz8ubSM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AEKztz8ubSM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx87db4436", "sha": "234b28f0691a20dd6e996d460b09c0ae6146d636", "translated_description": "", "image_url": "https://img.youtube.com/vi/AEKztz8ubSM/hqdefault.jpg", "youtube_id": "AEKztz8ubSM", "content_kind": "Video", "readable_id": "constructing-proportions-to-solve-application-problems"}], "twitter_url": "", "translated_description": "Now that we know what a proportional relationship is, let's construct some to solve real problems!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Now that we know what a proportional relationship is, let's construct some to solve real problems!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.3", "x_pos": 0.0, "node_slug": "cc-7th-constructing-proportions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf5f4a033", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-constructing-proportions", "extended_slug": "math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-constructing-proportions", "slug": "cc-7th-constructing-proportions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "988b527cd5c2a54e5badc29968532dc933d6300f", "standalone_title": "Constructing proportions", "y_pos": 0.0, "current_revision_key": "988b527cd5c2a54e5badc29968532dc933d6300f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-ratio-proportion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax805b3a5e", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-ratio-proportion", "extended_slug": "math/cc-seventh-grade-math/cc-7th-ratio-proportion", "slug": "cc-7th-ratio-proportion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "10268d0db1c9b6ac16b181a51eeb0b5a7e33ca07", "standalone_title": "Ratios, proportions and rates", "y_pos": 0.0, "current_revision_key": "10268d0db1c9b6ac16b181a51eeb0b5a7e33ca07", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers", "translated_standalone_title": "Positive and negative numbers", "translated_title": "Negative numbers", "gplus_url": "", "id": "x7ef05b40", "old_key_name": null, "hide": false, "title": "Negative numbers", "child_data": [{"kind": "Topic", "id": "x9d287e4b"}, {"kind": "Topic", "id": "x39ac5db8"}, {"kind": "Topic", "id": "x828b0a04"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-add-sub-negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-add-sub-negatives", "translated_standalone_title": "Adding and subtracting negative numbers", "translated_title": "Adding and subtracting negative numbers", "gplus_url": "", "id": "x9d287e4b", "old_key_name": null, "hide": false, "title": "Adding and subtracting negative numbers", "child_data": [{"kind": "Video", "id": 153770154}, {"kind": "Video", "id": 13179312}, {"kind": "Exercise", "id": 325329347}, {"kind": "Video", "id": "xded1ea52"}, {"kind": "Video", "id": 1244788705}, {"kind": "Exercise", "id": 3010}, {"kind": "Video", "id": "xefd871cb"}, {"kind": "Exercise", "id": 261977487}], "children": [{"translated_youtube_id": "AcpIO62x2oo", "relative_url": "/video/adding-negative-numbers", "has_questions": false, "keywords": "u9_l2_t1_we1, Adding, Negative, Numbers", "ka_url": "http://www.khanacademy.org/video/adding-negative-numbers", "duration": 341, "translated_title": "Example: Adding negative numbers", "translated_description_html": "Adding Negative Numbers", "id": "153770154", "description_html": "Adding Negative Numbers", "title": "Example: Adding negative numbers", "progress_key": "v153770154", "edit_slug": "edit/v/153770154", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding Negative Numbers", "extra_properties": null, "node_slug": "v/adding-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.m3u8/AcpIO62x2oo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AcpIO62x2oo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770154", "sha": "2253e8f51041bfc646e5edc6017a7e6f99b1895f", "translated_description": "Adding Negative Numbers", "image_url": "https://img.youtube.com/vi/AcpIO62x2oo/hqdefault.jpg", "youtube_id": "AcpIO62x2oo", "content_kind": "Video", "readable_id": "adding-negative-numbers"}, {"translated_youtube_id": "NrVvu7cM8_o", "relative_url": "/video/adding-integers-with-different-signs", "has_questions": false, "keywords": "U09_L2_T1_we2, Adding, integers, with, different, signs, CC_7_NS_1_b, CC_7_NS_1_c", "ka_url": "http://www.khanacademy.org/video/adding-integers-with-different-signs", "duration": 332, "translated_title": "Example: Adding integers with different signs", "translated_description_html": "Adding integers with different signs", "id": "13179312", "description_html": "Adding integers with different signs", "title": "Example: Adding integers with different signs", "progress_key": "v13179312", "edit_slug": "edit/v/13179312", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding integers with different signs", "extra_properties": null, "node_slug": "v/adding-integers-with-different-signs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.m3u8/NrVvu7cM8_o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NrVvu7cM8_o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179312", "sha": "8522241f70a4617a94f06056d6d7e0df6d4dbdc1", "translated_description": "Adding integers with different signs", "image_url": "https://img.youtube.com/vi/NrVvu7cM8_o/hqdefault.jpg", "youtube_id": "NrVvu7cM8_o", "content_kind": "Video", "readable_id": "adding-integers-with-different-signs"}, {"translated_youtube_id": "NQSN00zL5gg", "relative_url": "/video/adding-and-subtracting-negative-number-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-negative-number-examples", "duration": 247, "translated_title": "Adding and subtracting negative number examples", "translated_description_html": "", "id": "xded1ea52", "description_html": "", "title": "Adding and subtracting negative number examples", "progress_key": "vxded1ea52", "edit_slug": "edit/v/xded1ea52", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-and-subtracting-negative-number-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-05T18:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.mp4/NQSN00zL5gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.mp4/NQSN00zL5gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.m3u8/NQSN00zL5gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NQSN00zL5gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxded1ea52", "sha": "2175efb35e9f748973429e491286217eaff962f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/NQSN00zL5gg/hqdefault.jpg", "youtube_id": "NQSN00zL5gg", "content_kind": "Video", "readable_id": "adding-and-subtracting-negative-number-examples"}, {"translated_youtube_id": "lBscLuttQq0", "relative_url": "/video/why-subtracting-a-negative-equivalent-to-adding-a-positive", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-subtracting-a-negative-equivalent-to-adding-a-positive", "duration": 93, "translated_title": "Why subtracting a negative is equivalent to adding a positive", "translated_description_html": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "id": "1244788705", "description_html": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "title": "Why subtracting a negative is equivalent to adding a positive", "progress_key": "v1244788705", "edit_slug": "edit/v/1244788705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "extra_properties": null, "node_slug": "v/why-subtracting-a-negative-equivalent-to-adding-a-positive", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-21T23:05:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.mp4/lBscLuttQq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.mp4/lBscLuttQq0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.m3u8/lBscLuttQq0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lBscLuttQq0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1244788705", "sha": "2f94078b0e4c6817a0617b1e209241f13c54502c", "translated_description": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "image_url": "https://img.youtube.com/vi/lBscLuttQq0/hqdefault.jpg", "youtube_id": "lBscLuttQq0", "content_kind": "Video", "readable_id": "why-subtracting-a-negative-equivalent-to-adding-a-positive"}, {"translated_youtube_id": "Oo2vGhVkvDo", "relative_url": "/video/negative-number-word-problems-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-number-word-problems-1", "duration": 262, "translated_title": "Negative number word problems 1", "translated_description_html": "", "id": "xefd871cb", "description_html": "", "title": "Negative number word problems 1", "progress_key": "vxefd871cb", "edit_slug": "edit/v/xefd871cb", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-number-word-problems-1", "deleted": false, "backup_timestamp": "2013-09-20T10:49:43Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.mp4/Oo2vGhVkvDo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.mp4/Oo2vGhVkvDo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.m3u8/Oo2vGhVkvDo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oo2vGhVkvDo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxefd871cb", "sha": "c76450e214e9cf6d0f9ab746b55154a99fda5a89", "translated_description": "", "image_url": "https://img.youtube.com/vi/Oo2vGhVkvDo/hqdefault.jpg", "youtube_id": "Oo2vGhVkvDo", "content_kind": "Video", "readable_id": "negative-number-word-problems-1"}], "twitter_url": "", "translated_description": "You understand that negative numbers represent how far we are \"below zero\". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!\n\nCommon Core Standards: 7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You understand that negative numbers represent how far we are \"below zero\". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!\n\nCommon Core Standards: 7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d", "x_pos": 0.0, "node_slug": "cc-7th-add-sub-negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9d287e4b", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-add-sub-negatives", "extended_slug": "math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-add-sub-negatives", "slug": "cc-7th-add-sub-negatives", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "717ee69d183d7b8d0bda1414d29167fc7671c980", "standalone_title": "Adding and subtracting negative numbers", "y_pos": 0.0, "current_revision_key": "717ee69d183d7b8d0bda1414d29167fc7671c980", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-mult-div-negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-mult-div-negatives", "translated_standalone_title": "Multiplying and dividing negative numbers", "translated_title": "Multiplying and dividing negative numbers", "gplus_url": "", "id": "x39ac5db8", "old_key_name": null, "hide": false, "title": "Multiplying and dividing negative numbers", "child_data": [{"kind": "Video", "id": 862036603}, {"kind": "Video", "id": 867458280}, {"kind": "Video", "id": 1244872792}, {"kind": "Video", "id": 862107118}, {"kind": "Video", "id": 13179320}, {"kind": "Exercise", "id": 2015}], "children": [{"translated_youtube_id": "47wjId9k2Hs", "relative_url": "/video/multiplying-positive-and-negative-numbers", "has_questions": false, "keywords": "negative, number, multiplication", "ka_url": "http://www.khanacademy.org/video/multiplying-positive-and-negative-numbers", "duration": 334, "translated_title": "Multiplying positive and negative numbers", "translated_description_html": "Basics of multiplication with negative numbers", "id": "862036603", "description_html": "Basics of multiplication with negative numbers", "title": "Multiplying positive and negative numbers", "progress_key": "v862036603", "edit_slug": "edit/v/862036603", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of multiplication with negative numbers", "extra_properties": null, "node_slug": "v/multiplying-positive-and-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2012-06-19T17:57:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.mp4/47wjId9k2Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.mp4/47wjId9k2Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.m3u8/47wjId9k2Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=47wjId9k2Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v862036603", "sha": "75b07095133546bce3622ca222da0006ae8cdee2", "translated_description": "Basics of multiplication with negative numbers", "image_url": "https://img.youtube.com/vi/47wjId9k2Hs/hqdefault.jpg", "youtube_id": "47wjId9k2Hs", "content_kind": "Video", "readable_id": "multiplying-positive-and-negative-numbers"}, {"translated_youtube_id": "rK4sXm_MPWo", "relative_url": "/video/why-a-negative-times-a-negative-is-a-positive", "has_questions": false, "keywords": "math, negative, numbers, marquee", "ka_url": "http://www.khanacademy.org/video/why-a-negative-times-a-negative-is-a-positive", "duration": 347, "translated_title": "Why a negative times a negative is a positive", "translated_description_html": "Why negative number products are defined in the way they are.", "id": "867458280", "description_html": "Why negative number products are defined in the way they are.", "title": "Why a negative times a negative is a positive", "progress_key": "v867458280", "edit_slug": "edit/v/867458280", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why negative number products are defined in the way they are.", "extra_properties": null, "node_slug": "v/why-a-negative-times-a-negative-is-a-positive", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-06-22T16:16:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.mp4/rK4sXm_MPWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.mp4/rK4sXm_MPWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.m3u8/rK4sXm_MPWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rK4sXm_MPWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v867458280", "sha": "6960d2420cc011db3711ab6da9acf1371353c48b", "translated_description": "Why negative number products are defined in the way they are.", "image_url": "https://img.youtube.com/vi/rK4sXm_MPWo/hqdefault.jpg", "youtube_id": "rK4sXm_MPWo", "content_kind": "Video", "readable_id": "why-a-negative-times-a-negative-is-a-positive"}, {"translated_youtube_id": "pzQY-9Nmtws", "relative_url": "/video/why-a-negative-times-a-negative-makes-intuitive-sense", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-a-negative-times-a-negative-makes-intuitive-sense", "duration": 374, "translated_title": "Why a negative times a negative makes intuitive sense", "translated_description_html": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "id": "1244872792", "description_html": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "title": "Why a negative times a negative makes intuitive sense", "progress_key": "v1244872792", "edit_slug": "edit/v/1244872792", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "extra_properties": null, "node_slug": "v/why-a-negative-times-a-negative-makes-intuitive-sense", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-22T00:10:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.mp4/pzQY-9Nmtws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.mp4/pzQY-9Nmtws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.m3u8/pzQY-9Nmtws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzQY-9Nmtws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1244872792", "sha": "bf2382e965d2b53ce165cc1ad8860bdebaca7329", "translated_description": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "image_url": "https://img.youtube.com/vi/pzQY-9Nmtws/hqdefault.jpg", "youtube_id": "pzQY-9Nmtws", "content_kind": "Video", "readable_id": "why-a-negative-times-a-negative-makes-intuitive-sense"}, {"translated_youtube_id": "bQ-KR3clFgs", "relative_url": "/video/dividing-positive-and-negative-numbers", "has_questions": false, "keywords": "dividing, negative, numbers", "ka_url": "http://www.khanacademy.org/video/dividing-positive-and-negative-numbers", "duration": 292, "translated_title": "Dividing positive and negative numbers", "translated_description_html": "Basics of dividing with negative numbers", "id": "862107118", "description_html": "Basics of dividing with negative numbers", "title": "Dividing positive and negative numbers", "progress_key": "v862107118", "edit_slug": "edit/v/862107118", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of dividing with negative numbers", "extra_properties": null, "node_slug": "v/dividing-positive-and-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-06-19T17:57:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.m3u8/bQ-KR3clFgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bQ-KR3clFgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v862107118", "sha": "a29fa4456eea127cabc9784606ee9fdf07bb0bba", "translated_description": "Basics of dividing with negative numbers", "image_url": "https://img.youtube.com/vi/bQ-KR3clFgs/hqdefault.jpg", "youtube_id": "bQ-KR3clFgs", "content_kind": "Video", "readable_id": "dividing-positive-and-negative-numbers"}, {"translated_youtube_id": "4ve7OaCnDLs", "relative_url": "/video/multiplying-negative-real-numbers", "has_questions": false, "keywords": "U09_L2_T4_we1, Multiplying, negative, real, numbers, CC_4_NF_4, CC_5_NBT_7, CC_5_NF_4, CC_6_NS_3, CC_7_NS_2, CC_7_NS_2_a, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/multiplying-negative-real-numbers", "duration": 146, "translated_title": "Example: Multiplying numbers with different signs", "translated_description_html": "U09_L2_T4_we1 Multiplying negative real numbers", "id": "13179320", "description_html": "U09_L2_T4_we1 Multiplying negative real numbers", "title": "Example: Multiplying numbers with different signs", "progress_key": "v13179320", "edit_slug": "edit/v/13179320", "author_names": ["Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "U09_L2_T4_we1 Multiplying negative real numbers", "extra_properties": null, "node_slug": "v/multiplying-negative-real-numbers", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.mp4/4ve7OaCnDLs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.mp4/4ve7OaCnDLs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.m3u8/4ve7OaCnDLs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4ve7OaCnDLs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v13179320", "sha": "e0f26210d438771f6cea7f5d3e225b8ead8eea46", "translated_description": "U09_L2_T4_we1 Multiplying negative real numbers", "image_url": "https://img.youtube.com/vi/4ve7OaCnDLs/hqdefault.jpg", "youtube_id": "4ve7OaCnDLs", "content_kind": "Video", "readable_id": "multiplying-negative-real-numbers"}], "twitter_url": "", "translated_description": "It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b ", "x_pos": 0.0, "node_slug": "cc-7th-mult-div-negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax39ac5db8", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-mult-div-negatives", "extended_slug": "math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-mult-div-negatives", "slug": "cc-7th-mult-div-negatives", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b453b7c3f1510f3ef41e1e7d3a6fae7a8a7c8ed4", "standalone_title": "Multiplying and dividing negative numbers", "y_pos": 0.0, "current_revision_key": "b453b7c3f1510f3ef41e1e7d3a6fae7a8a7c8ed4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-absolute-value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-absolute-value", "translated_standalone_title": "Absolute value", "translated_title": "Absolute value", "gplus_url": "", "id": "x828b0a04", "old_key_name": null, "hide": false, "title": "Absolute value", "child_data": [{"kind": "Video", "id": "xc6f1d2f0"}, {"kind": "Exercise", "id": 701990088}, {"kind": "Video", "id": "xa9ad03f9"}, {"kind": "Exercise", "id": "xda325f63"}], "children": [{"translated_youtube_id": "y-O_B-wWivQ", "relative_url": "/video/measuring-segments", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-segments", "duration": 89, "translated_title": "Measuring segments", "translated_description_html": "", "id": "xc6f1d2f0", "description_html": "", "title": "Measuring segments", "progress_key": "vxc6f1d2f0", "edit_slug": "edit/v/xc6f1d2f0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-segments", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.mp4/y-O_B-wWivQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.mp4/y-O_B-wWivQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.m3u8/y-O_B-wWivQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y-O_B-wWivQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc6f1d2f0", "sha": "04b63888794f32c97fc2242e8e6e132f9a581f64", "translated_description": "", "image_url": "https://img.youtube.com/vi/y-O_B-wWivQ/hqdefault.jpg", "youtube_id": "y-O_B-wWivQ", "content_kind": "Video", "readable_id": "measuring-segments"}, {"translated_youtube_id": "FogJFEEYuO0", "relative_url": "/video/constructing-and-interpreting-absolute-value", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-and-interpreting-absolute-value", "duration": 440, "translated_title": "Constructing and interpreting absolute value", "translated_description_html": "", "id": "xa9ad03f9", "description_html": "", "title": "Constructing and interpreting absolute value", "progress_key": "vxa9ad03f9", "edit_slug": "edit/v/xa9ad03f9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-and-interpreting-absolute-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-24T20:15:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.mp4/FogJFEEYuO0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.mp4/FogJFEEYuO0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.m3u8/FogJFEEYuO0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FogJFEEYuO0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa9ad03f9", "sha": "dca8219e29ce844b391adfa0247e8668a7e57877", "translated_description": "", "image_url": "https://img.youtube.com/vi/FogJFEEYuO0/hqdefault.jpg", "youtube_id": "FogJFEEYuO0", "content_kind": "Video", "readable_id": "constructing-and-interpreting-absolute-value"}], "twitter_url": "", "translated_description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero.\" If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. \n\nAs you'll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it's super important that you understand this core concept now.\n\nCommon Core Standards: 7.NS.A.1a, 7.NS.A.1b\t\n\n\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero.\" If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. \n\nAs you'll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it's super important that you understand this core concept now.\n\nCommon Core Standards: 7.NS.A.1a, 7.NS.A.1b\t\n\n\t", "x_pos": 0.0, "node_slug": "cc-7th-absolute-value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax828b0a04", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-absolute-value", "extended_slug": "math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-absolute-value", "slug": "cc-7th-absolute-value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0fb97eee6100758d724a92dce7cc272e51992a88", "standalone_title": "Absolute value", "y_pos": 0.0, "current_revision_key": "0fb97eee6100758d724a92dce7cc272e51992a88", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-negative-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ef05b40", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-negative-numbers", "extended_slug": "math/cc-seventh-grade-math/cc-7th-negative-numbers", "slug": "cc-7th-negative-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "faa7ae032333a5ba2d8ea4af0103637964c83516", "standalone_title": "Positive and negative numbers", "y_pos": 0.0, "current_revision_key": "faa7ae032333a5ba2d8ea4af0103637964c83516", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals", "translated_standalone_title": "Fractions and decimals", "translated_title": "Fractions and decimals", "gplus_url": "", "id": "xbee72d33", "old_key_name": null, "hide": false, "title": "Fractions and decimals", "child_data": [{"kind": "Topic", "id": "x017fce4e"}, {"kind": "Topic", "id": "x2325b642"}, {"kind": "Topic", "id": "x719eade5"}, {"kind": "Topic", "id": "xc269aca7"}, {"kind": "Topic", "id": "xbcafc878"}, {"kind": "Topic", "id": "xef7eb0b5"}, {"kind": "Topic", "id": "xccee2cbe"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-6th-add-sub-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-6th-add-sub-fractions", "translated_standalone_title": "Adding and subtracting fractions", "translated_title": "Adding and subtracting fractions", "gplus_url": "", "id": "x017fce4e", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions", "child_data": [{"kind": "Video", "id": 13179314}, {"kind": "Exercise", "id": 3011}], "children": [{"translated_youtube_id": "QS1LMomm0Gk", "relative_url": "/video/adding-fractions-with-different-signs", "has_questions": false, "keywords": "U09_L2_T2_we2, Adding, fractions, with, different, signs, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_c, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-different-signs", "duration": 382, "translated_title": "Adding fractions with different signs", "translated_description_html": "Adding fractions with different signs", "id": "13179314", "description_html": "Adding fractions with different signs", "title": "Adding fractions with different signs", "progress_key": "v13179314", "edit_slug": "edit/v/13179314", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding fractions with different signs", "extra_properties": null, "node_slug": "v/adding-fractions-with-different-signs", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.m3u8/QS1LMomm0Gk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QS1LMomm0Gk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179314", "sha": "e6c076f876476078336fff29ef1e0fcd0f4f387d", "translated_description": "Adding fractions with different signs", "image_url": "https://img.youtube.com/vi/QS1LMomm0Gk/hqdefault.jpg", "youtube_id": "QS1LMomm0Gk", "content_kind": "Video", "readable_id": "adding-fractions-with-different-signs"}], "twitter_url": "", "translated_description": "You know how to add and subtract whole numbers like 7 and 42, but fractions are numbers too. And just like whole numbers, you can add and subtract them. This tutorial will show you how!\n\nCommon Core Standards: 7.NS.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to add and subtract whole numbers like 7 and 42, but fractions are numbers too. And just like whole numbers, you can add and subtract them. This tutorial will show you how!\n\nCommon Core Standards: 7.NS.A.1", "x_pos": 0.0, "node_slug": "cc-6th-add-sub-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax017fce4e", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-6th-add-sub-fractions", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-6th-add-sub-fractions", "slug": "cc-6th-add-sub-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e30f3a2c6bec023245da22312a56ddbcd5a04d2b", "standalone_title": "Adding and subtracting fractions", "y_pos": 0.0, "current_revision_key": "e30f3a2c6bec023245da22312a56ddbcd5a04d2b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-mult-div-frac", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-mult-div-frac", "translated_standalone_title": "Multiplying and dividing fractions", "translated_title": "Multiplying and dividing fractions", "gplus_url": "", "id": "x2325b642", "old_key_name": null, "hide": false, "title": "Multiplying and dividing fractions", "child_data": [{"kind": "Video", "id": "x747283e7"}, {"kind": "Exercise", "id": 3014}, {"kind": "Video", "id": "x91b6f5a7"}, {"kind": "Exercise", "id": "x9ffaaf9c"}], "children": [{"translated_youtube_id": "pi3WWQ0q6Lc", "relative_url": "/video/multiplying-negative-and-positive-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-negative-and-positive-fractions", "duration": 273, "translated_title": "Multiplying negative and positive fractions", "translated_description_html": "", "id": "x747283e7", "description_html": "", "title": "Multiplying negative and positive fractions", "progress_key": "vx747283e7", "edit_slug": "edit/v/x747283e7", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-negative-and-positive-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-14T14:46:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.mp4/pi3WWQ0q6Lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.mp4/pi3WWQ0q6Lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.m3u8/pi3WWQ0q6Lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pi3WWQ0q6Lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx747283e7", "sha": "5e714f2d97609db0f8086b0079f2dc686f80ad05", "translated_description": "", "image_url": "https://img.youtube.com/vi/pi3WWQ0q6Lc/hqdefault.jpg", "youtube_id": "pi3WWQ0q6Lc", "content_kind": "Video", "readable_id": "multiplying-negative-and-positive-fractions"}, {"translated_youtube_id": "H0q9Fqb8YT4", "relative_url": "/video/examples-of-dividing-negative-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/examples-of-dividing-negative-fractions", "duration": 251, "translated_title": "Examples of dividing negative fractions", "translated_description_html": "", "id": "x91b6f5a7", "description_html": "", "title": "Examples of dividing negative fractions", "progress_key": "vx91b6f5a7", "edit_slug": "edit/v/x91b6f5a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/examples-of-dividing-negative-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-12T23:55:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.mp4/H0q9Fqb8YT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.mp4/H0q9Fqb8YT4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.m3u8/H0q9Fqb8YT4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H0q9Fqb8YT4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx91b6f5a7", "sha": "ac44c72b757c79c9e2dca4dcd176efcffd9422c3", "translated_description": "", "image_url": "https://img.youtube.com/vi/H0q9Fqb8YT4/hqdefault.jpg", "youtube_id": "H0q9Fqb8YT4", "content_kind": "Video", "readable_id": "examples-of-dividing-negative-fractions"}], "twitter_url": "", "translated_description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nDid you also know that fractions can represent division (and the other way around). We can create fractions by dividing whole numbers and then even divide the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nDid you also know that fractions can represent division (and the other way around). We can create fractions by dividing whole numbers and then even divide the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b", "x_pos": 0.0, "node_slug": "cc-7th-mult-div-frac", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2325b642", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-mult-div-frac", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-mult-div-frac", "slug": "cc-7th-mult-div-frac", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "45d0cf4d38c3b52b4f6c49af4b6d66a8098409e1", "standalone_title": "Multiplying and dividing fractions", "y_pos": 0.0, "current_revision_key": "45d0cf4d38c3b52b4f6c49af4b6d66a8098409e1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals", "translated_standalone_title": "Converting fractions to decimals", "translated_title": "Converting fractions to decimals", "gplus_url": "", "id": "x719eade5", "old_key_name": null, "hide": false, "title": "Converting fractions to decimals", "child_data": [{"kind": "Video", "id": 1806}, {"kind": "Video", "id": 158925085}, {"kind": "Video", "id": 915084910}, {"kind": "Video", "id": 915095642}, {"kind": "Exercise", "id": 245552066}], "children": [{"translated_youtube_id": "NzIoHQfStoM", "relative_url": "/video/decimals-and-fractions", "has_questions": false, "keywords": "U03_L1_T1_we3, Decimals, and, Fractions, CC_4_NF_6", "ka_url": "http://www.khanacademy.org/video/decimals-and-fractions", "duration": 162, "translated_title": "Decimals and fractions", "translated_description_html": "Decimals and Fractions", "id": "1806", "description_html": "Decimals and Fractions", "title": "Decimals and fractions", "progress_key": "v1806", "edit_slug": "edit/v/1806", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Decimals and Fractions", "extra_properties": null, "node_slug": "v/decimals-and-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.m3u8/NzIoHQfStoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NzIoHQfStoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1806", "sha": "936909f0c7ac771c5704b0605a3d533423aba644", "translated_description": "Decimals and Fractions", "image_url": "https://img.youtube.com/vi/NzIoHQfStoM/hqdefault.jpg", "youtube_id": "NzIoHQfStoM", "content_kind": "Video", "readable_id": "decimals-and-fractions"}, {"translated_youtube_id": "Y1V5mZaMfTk", "relative_url": "/video/converting-fractions-to-decimals-example", "has_questions": false, "keywords": "u03_l1_t1_we4, Converting, Fractions, to, Decimals", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals-example", "duration": 137, "translated_title": "Converting fractions to decimals example", "translated_description_html": "Converting Fractions to Decimals", "id": "158925085", "description_html": "Converting Fractions to Decimals", "title": "Converting fractions to decimals example", "progress_key": "v158925085", "edit_slug": "edit/v/158925085", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Fractions to Decimals", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals-example", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.m3u8/Y1V5mZaMfTk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y1V5mZaMfTk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925085", "sha": "56fd5f9e7807ad35ad74962cc59cf85a881ed790", "translated_description": "Converting Fractions to Decimals", "image_url": "https://img.youtube.com/vi/Y1V5mZaMfTk/hqdefault.jpg", "youtube_id": "Y1V5mZaMfTk", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals-example"}, {"translated_youtube_id": "NM8qTo361ic", "relative_url": "/video/converting-fractions-to-decimals--ex1", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex1", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex1", "duration": 195, "translated_title": "Converting fractions to decimals (ex1)", "translated_description_html": "Converting fractions to decimals (ex1)", "id": "915084910", "description_html": "Converting fractions to decimals (ex1)", "title": "Converting fractions to decimals (ex1)", "progress_key": "v915084910", "edit_slug": "edit/v/915084910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting fractions to decimals (ex1)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:21:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.m3u8/NM8qTo361ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NM8qTo361ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915084910", "sha": "3a771b98e23bea687d72258c517baeb16dc8cf91", "translated_description": "Converting fractions to decimals (ex1)", "image_url": "https://img.youtube.com/vi/NM8qTo361ic/hqdefault.jpg", "youtube_id": "NM8qTo361ic", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex1"}, {"translated_youtube_id": "sCVyvfOLI6U", "relative_url": "/video/converting-fractions-to-decimals--ex2", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex2", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex2", "duration": 93, "translated_title": "Converting fractions to decimals (ex2)", "translated_description_html": "Converting fractions to decimals (ex2)", "id": "915095642", "description_html": "Converting fractions to decimals (ex2)", "title": "Converting fractions to decimals (ex2)", "progress_key": "v915095642", "edit_slug": "edit/v/915095642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Converting fractions to decimals (ex2)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:22:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.m3u8/sCVyvfOLI6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sCVyvfOLI6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915095642", "sha": "bd20cf0f11f99fa9792a80b85c851e83b0e963ee", "translated_description": "Converting fractions to decimals (ex2)", "image_url": "https://img.youtube.com/vi/sCVyvfOLI6U/hqdefault.jpg", "youtube_id": "sCVyvfOLI6U", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex2"}], "twitter_url": "", "translated_description": "If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun!\n\nCommon Core Standards: 7.NS.A.2d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun!\n\nCommon Core Standards: 7.NS.A.2d", "x_pos": 0.0, "node_slug": "cc-7th-fracs-to-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax719eade5", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals", "slug": "cc-7th-fracs-to-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ece373e854d1bd15ad96834b1e273eac11559e89", "standalone_title": "Converting fractions to decimals", "y_pos": 0.0, "current_revision_key": "ece373e854d1bd15ad96834b1e273eac11559e89", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers", "translated_standalone_title": "Adding and subtracting rational numbers", "translated_title": "Adding and subtracting rational numbers", "gplus_url": "", "id": "xc269aca7", "old_key_name": null, "hide": false, "title": "Adding and subtracting rational numbers", "child_data": [{"kind": "Video", "id": "x6f64c4e8"}, {"kind": "Video", "id": "x45f7c965"}, {"kind": "Video", "id": "xeff72154"}, {"kind": "Exercise", "id": "x3043480d"}], "children": [{"translated_youtube_id": "FSpSrZQzzVs", "relative_url": "/video/adding-and-subtracting-a-decimal-percentage-and-fraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-a-decimal-percentage-and-fraction", "duration": 269, "translated_title": "Adding and subtracting a decimal percentage and fraction", "translated_description_html": "", "id": "x6f64c4e8", "description_html": "", "title": "Adding and subtracting a decimal percentage and fraction", "progress_key": "vx6f64c4e8", "edit_slug": "edit/v/x6f64c4e8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-and-subtracting-a-decimal-percentage-and-fraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-26T23:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.mp4/FSpSrZQzzVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.mp4/FSpSrZQzzVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.m3u8/FSpSrZQzzVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FSpSrZQzzVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f64c4e8", "sha": "e65945c709a02104b7eb3c24a7b647b386a70349", "translated_description": "", "image_url": "https://img.youtube.com/vi/FSpSrZQzzVs/hqdefault.jpg", "youtube_id": "FSpSrZQzzVs", "content_kind": "Video", "readable_id": "adding-and-subtracting-a-decimal-percentage-and-fraction"}, {"translated_youtube_id": "xEDnwEOOf7Y", "relative_url": "/video/adding-fractions-decimals-and-percentages", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-decimals-and-percentages", "duration": 274, "translated_title": "Adding fractions decimals and percentages", "translated_description_html": "", "id": "x45f7c965", "description_html": "", "title": "Adding fractions decimals and percentages", "progress_key": "vx45f7c965", "edit_slug": "edit/v/x45f7c965", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-decimals-and-percentages", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-26T23:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.mp4/xEDnwEOOf7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.mp4/xEDnwEOOf7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.m3u8/xEDnwEOOf7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xEDnwEOOf7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx45f7c965", "sha": "ad1ba17425f92b58553f05a62bbabaced4b68fa6", "translated_description": "", "image_url": "https://img.youtube.com/vi/xEDnwEOOf7Y/hqdefault.jpg", "youtube_id": "xEDnwEOOf7Y", "content_kind": "Video", "readable_id": "adding-fractions-decimals-and-percentages"}, {"translated_youtube_id": "9tmtDBpqq9s", "relative_url": "/video/adding-and-subtracting-three-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-three-fractions", "duration": 156, "translated_title": "Adding and subtracting three fractions", "translated_description_html": "", "id": "xeff72154", "description_html": "", "title": "Adding and subtracting three fractions", "progress_key": "vxeff72154", "edit_slug": "edit/v/xeff72154", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-and-subtracting-three-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-26T23:02:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.mp4/9tmtDBpqq9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.mp4/9tmtDBpqq9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.m3u8/9tmtDBpqq9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9tmtDBpqq9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeff72154", "sha": "4e1ca285a3adc42118f39010d399f7645e966035", "translated_description": "", "image_url": "https://img.youtube.com/vi/9tmtDBpqq9s/hqdefault.jpg", "youtube_id": "9tmtDBpqq9s", "content_kind": "Video", "readable_id": "adding-and-subtracting-three-fractions"}], "twitter_url": "", "translated_description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standards: 7.NS.A.1d", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standards: 7.NS.A.1d", "x_pos": 0.0, "node_slug": "cc-7th-add-sub-rational-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc269aca7", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers", "slug": "cc-7th-add-sub-rational-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4c8da54b5a70c57dbb1088f165e2b193eedfefc0", "standalone_title": "Adding and subtracting rational numbers", "y_pos": 0.0, "current_revision_key": "4c8da54b5a70c57dbb1088f165e2b193eedfefc0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-rational-num-word-probs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-rational-num-word-probs", "translated_standalone_title": "Rational number word problems", "translated_title": "Working with rational numbers", "gplus_url": "", "id": "xbcafc878", "old_key_name": null, "hide": false, "title": "Working with rational numbers", "child_data": [{"kind": "Video", "id": "xfbb8940b"}, {"kind": "Video", "id": "x79e4f6c5"}, {"kind": "Exercise", "id": "xe5563600"}, {"kind": "Video", "id": "x39d05dd5"}, {"kind": "Video", "id": "x19dfbdfd"}, {"kind": "Video", "id": "x608113aa"}, {"kind": "Video", "id": 466047489}, {"kind": "Exercise", "id": "x950b4c30"}], "children": [{"translated_youtube_id": "a_Wi-6SRBTc", "relative_url": "/video/rational-number-expressions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-expressions", "duration": 359, "translated_title": "Expressions with rational numbers", "translated_description_html": "", "id": "xfbb8940b", "description_html": "", "title": "Expressions with rational numbers", "progress_key": "vxfbb8940b", "edit_slug": "edit/v/xfbb8940b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-expressions", "deleted": false, "backup_timestamp": "2013-11-26T18:10:51Z", "date_added": "2013-11-26T18:10:51Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a_Wi-6SRBTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfbb8940b", "sha": "284900fbca54a6e923341db8f0e446be406fc77e", "translated_description": "", "image_url": "https://img.youtube.com/vi/a_Wi-6SRBTc/hqdefault.jpg", "youtube_id": "a_Wi-6SRBTc", "content_kind": "Video", "readable_id": "rational-number-expressions"}, {"translated_youtube_id": "mmWbK2xmJPQ", "relative_url": "/video/positive-negative-rational-expressions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/positive-negative-rational-expressions", "duration": 127, "translated_title": "Thinking about whether an expression is positive or negative", "translated_description_html": "", "id": "x79e4f6c5", "description_html": "", "title": "Thinking about whether an expression is positive or negative", "progress_key": "vx79e4f6c5", "edit_slug": "edit/v/x79e4f6c5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/positive-negative-rational-expressions", "deleted": false, "backup_timestamp": "2013-11-26T18:10:50Z", "date_added": "2013-11-26T18:10:50Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mmWbK2xmJPQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx79e4f6c5", "sha": "4df40f5012329ff048bb07a4d7a1e55597a5bbbe", "translated_description": "", "image_url": "https://img.youtube.com/vi/mmWbK2xmJPQ/hqdefault.jpg", "youtube_id": "mmWbK2xmJPQ", "content_kind": "Video", "readable_id": "positive-negative-rational-expressions"}, {"translated_youtube_id": "MZpULgKhaEU", "relative_url": "/video/rational-number-word-problem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-1", "duration": 201, "translated_title": "Rational number word problem example 1", "translated_description_html": "", "id": "x39d05dd5", "description_html": "", "title": "Rational number word problem example 1", "progress_key": "vx39d05dd5", "edit_slug": "edit/v/x39d05dd5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.mp4/MZpULgKhaEU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.mp4/MZpULgKhaEU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.m3u8/MZpULgKhaEU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MZpULgKhaEU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39d05dd5", "sha": "0f343070a8f09a302077cc18d788908671c79465", "translated_description": "", "image_url": "https://img.youtube.com/vi/MZpULgKhaEU/hqdefault.jpg", "youtube_id": "MZpULgKhaEU", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-1"}, {"translated_youtube_id": "oqAgaGeBOAU", "relative_url": "/video/rational-number-word-problem-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-2", "duration": 153, "translated_title": "Rational number word problem example 2", "translated_description_html": "", "id": "x19dfbdfd", "description_html": "", "title": "Rational number word problem example 2", "progress_key": "vx19dfbdfd", "edit_slug": "edit/v/x19dfbdfd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.mp4/oqAgaGeBOAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.mp4/oqAgaGeBOAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.m3u8/oqAgaGeBOAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqAgaGeBOAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19dfbdfd", "sha": "f6228b9138552493a30fcaa4aeadc6e123c625a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/oqAgaGeBOAU/hqdefault.jpg", "youtube_id": "oqAgaGeBOAU", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-2"}, {"translated_youtube_id": "KiVGac1aBt8", "relative_url": "/video/rational-number-word-problem-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-3", "duration": 248, "translated_title": "Rational number word problem example 3", "translated_description_html": "", "id": "x608113aa", "description_html": "", "title": "Rational number word problem example 3", "progress_key": "vx608113aa", "edit_slug": "edit/v/x608113aa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.mp4/KiVGac1aBt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.mp4/KiVGac1aBt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.m3u8/KiVGac1aBt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KiVGac1aBt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx608113aa", "sha": "fd72499032e4871ba362efc1cb75cd5759efbd79", "translated_description": "", "image_url": "https://img.youtube.com/vi/KiVGac1aBt8/hqdefault.jpg", "youtube_id": "KiVGac1aBt8", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-3"}, {"translated_youtube_id": "fFdOr8U4mnI", "relative_url": "/video/u09-l1-t2-we4-adding-real-numbers-application", "has_questions": false, "keywords": "u09, l1, t2, we4, Adding, Real, Numbers, Application", "ka_url": "http://www.khanacademy.org/video/u09-l1-t2-we4-adding-real-numbers-application", "duration": 195, "translated_title": "Adding decimals of different signs word problem", "translated_description_html": null, "id": "466047489", "description_html": null, "title": "Adding decimals of different signs word problem", "progress_key": "v466047489", "edit_slug": "edit/v/466047489", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/u09-l1-t2-we4-adding-real-numbers-application", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.m3u8/fFdOr8U4mnI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fFdOr8U4mnI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466047489", "sha": "55afa7edeb37a20c29dd23c45eef02a573d0a228", "translated_description": null, "image_url": "https://img.youtube.com/vi/fFdOr8U4mnI/hqdefault.jpg", "youtube_id": "fFdOr8U4mnI", "content_kind": "Video", "readable_id": "u09-l1-t2-we4-adding-real-numbers-application"}], "twitter_url": "", "translated_description": "You know that fractions, decimals and percentages are all ways to represent rational numbers. In this tutorial, you'll take things to the next level by using these representations together to solve problems.\n\nCommon Core Standards 7.NS.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know that fractions, decimals and percentages are all ways to represent rational numbers. In this tutorial, you'll take things to the next level by using these representations together to solve problems.\n\nCommon Core Standards 7.NS.A.3", "x_pos": 0.0, "node_slug": "cc-7th-rational-num-word-probs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbcafc878", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-rational-num-word-probs", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-rational-num-word-probs", "slug": "cc-7th-rational-num-word-probs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "44b34a391eeb5dcfa23a9e473202280b34537fd5", "standalone_title": "Rational number word problems", "y_pos": 0.0, "current_revision_key": "44b34a391eeb5dcfa23a9e473202280b34537fd5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems", "translated_standalone_title": "Percent word problems", "translated_title": "Percent word problems", "gplus_url": "", "id": "xef7eb0b5", "old_key_name": null, "hide": false, "title": "Percent word problems", "child_data": [{"kind": "Video", "id": 23456}, {"kind": "Video", "id": 13}, {"kind": "Video", "id": 14}, {"kind": "Video", "id": 15}, {"kind": "Exercise", "id": 594289413}, {"kind": "Exercise", "id": 720778814}], "children": [{"translated_youtube_id": "X2jVap1YgwI", "relative_url": "/video/growing-by-a-percentage", "has_questions": false, "keywords": "Percentage, math, khan, CC_7_EE_2, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/growing-by-a-percentage", "duration": 582, "translated_title": "Growing by a percentage", "translated_description_html": "Growing a quantity by a percentage", "id": "23456", "description_html": "Growing a quantity by a percentage", "title": "Growing by a percentage", "progress_key": "v23456", "edit_slug": "edit/v/23456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Growing a quantity by a percentage", "extra_properties": null, "node_slug": "v/growing-by-a-percentage", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.m3u8/X2jVap1YgwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X2jVap1YgwI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23456", "sha": "2624ff4bc28e48563ec138ee240f697f6d009a88", "translated_description": "Growing a quantity by a percentage", "image_url": "https://img.youtube.com/vi/X2jVap1YgwI/hqdefault.jpg", "youtube_id": "X2jVap1YgwI", "content_kind": "Video", "readable_id": "growing-by-a-percentage"}, {"translated_youtube_id": "TvSKeTFsaj4", "relative_url": "/video/solving-percent-problems", "has_questions": false, "keywords": "U05_L2_T1_we1, Solving, Percent, Problems", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems", "duration": 377, "translated_title": "Solving percent problems", "translated_description_html": "U05_L2_T1_we1 Solving Percent Problems", "id": "13", "description_html": "U05_L2_T1_we1 Solving Percent Problems", "title": "Solving percent problems", "progress_key": "v13", "edit_slug": "edit/v/13", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U05_L2_T1_we1 Solving Percent Problems", "extra_properties": null, "node_slug": "v/solving-percent-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.m3u8/TvSKeTFsaj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TvSKeTFsaj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13", "sha": "f0e12f106ba1bf7cbe0b06f0b8049a712aa7fd09", "translated_description": "U05_L2_T1_we1 Solving Percent Problems", "image_url": "https://img.youtube.com/vi/TvSKeTFsaj4/hqdefault.jpg", "youtube_id": "TvSKeTFsaj4", "content_kind": "Video", "readable_id": "solving-percent-problems"}, {"translated_youtube_id": "N4kDzoQOngY", "relative_url": "/video/solving-percent-problems-2", "has_questions": false, "keywords": "U05_L2_T1_we2, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-2", "duration": 277, "translated_title": "Solving percent problems 2", "translated_description_html": "Solving Percent Problems 2", "id": "14", "description_html": "Solving Percent Problems 2", "title": "Solving percent problems 2", "progress_key": "v14", "edit_slug": "edit/v/14", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 2", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.m3u8/N4kDzoQOngY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4kDzoQOngY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v14", "sha": "8ec2738e8a7080b286dba920ef2f1f1a04a81c8c", "translated_description": "Solving Percent Problems 2", "image_url": "https://img.youtube.com/vi/N4kDzoQOngY/hqdefault.jpg", "youtube_id": "N4kDzoQOngY", "content_kind": "Video", "readable_id": "solving-percent-problems-2"}, {"translated_youtube_id": "DAikW24_O0A", "relative_url": "/video/solving-percent-problems-3", "has_questions": false, "keywords": "U05_L2_T1_we3, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-3", "duration": 326, "translated_title": "Solving percent problems 3", "translated_description_html": "Solving Percent Problems 3", "id": "15", "description_html": "Solving Percent Problems 3", "title": "Solving percent problems 3", "progress_key": "v15", "edit_slug": "edit/v/15", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 3", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.m3u8/DAikW24_O0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DAikW24_O0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v15", "sha": "fb61126838d38b7c46ee76c5693e366966510750", "translated_description": "Solving Percent Problems 3", "image_url": "https://img.youtube.com/vi/DAikW24_O0A/hqdefault.jpg", "youtube_id": "DAikW24_O0A", "content_kind": "Video", "readable_id": "solving-percent-problems-3"}], "twitter_url": "", "translated_description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise.\n\nCommon Core Standards: 7.EE.B.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise.\n\nCommon Core Standards: 7.EE.B.3", "x_pos": 0.0, "node_slug": "cc-7th-percent-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef7eb0b5", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems", "slug": "cc-7th-percent-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9da79f8fc66e3f4efe7ca50bff88eb055861e7c6", "standalone_title": "Percent word problems", "y_pos": 0.0, "current_revision_key": "9da79f8fc66e3f4efe7ca50bff88eb055861e7c6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs", "translated_standalone_title": "Multi-step word problems", "translated_title": "Multi-step word problems", "gplus_url": "", "id": "xccee2cbe", "old_key_name": null, "hide": false, "title": "Multi-step word problems", "child_data": [{"kind": "Video", "id": "xf59a9468"}, {"kind": "Video", "id": "x602a9681"}, {"kind": "Video", "id": "xd55ad2ce"}, {"kind": "Exercise", "id": "x5315ceb6"}], "children": [{"translated_youtube_id": "GwycEivqYYI", "relative_url": "/video/multistep-word-problems-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-1", "duration": 220, "translated_title": "Multistep word problems example 1)", "translated_description_html": "", "id": "xf59a9468", "description_html": "", "title": "Multistep word problems example 1)", "progress_key": "vxf59a9468", "edit_slug": "edit/v/xf59a9468", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.mp4/GwycEivqYYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.mp4/GwycEivqYYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.m3u8/GwycEivqYYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GwycEivqYYI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf59a9468", "sha": "497184e6be82544bfb4dd5caf53c06826f0290e2", "translated_description": "", "image_url": "https://img.youtube.com/vi/GwycEivqYYI/hqdefault.jpg", "youtube_id": "GwycEivqYYI", "content_kind": "Video", "readable_id": "multistep-word-problems-example-1"}, {"translated_youtube_id": "QfsK8ZyC_bE", "relative_url": "/video/multistep-word-problems-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-2", "duration": 145, "translated_title": "Multistep word problems example 2)", "translated_description_html": "", "id": "x602a9681", "description_html": "", "title": "Multistep word problems example 2)", "progress_key": "vx602a9681", "edit_slug": "edit/v/x602a9681", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.mp4/QfsK8ZyC_bE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.mp4/QfsK8ZyC_bE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.m3u8/QfsK8ZyC_bE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QfsK8ZyC_bE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx602a9681", "sha": "5fef9e381001c37dc1bf6ee0741397c1a437d67b", "translated_description": "", "image_url": "https://img.youtube.com/vi/QfsK8ZyC_bE/hqdefault.jpg", "youtube_id": "QfsK8ZyC_bE", "content_kind": "Video", "readable_id": "multistep-word-problems-example-2"}, {"translated_youtube_id": "-sSDb_wZqKQ", "relative_url": "/video/multistep-word-problems-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-3", "duration": 128, "translated_title": "Multistep word problems example 3)", "translated_description_html": "", "id": "xd55ad2ce", "description_html": "", "title": "Multistep word problems example 3)", "progress_key": "vxd55ad2ce", "edit_slug": "edit/v/xd55ad2ce", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.mp4/-sSDb_wZqKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.mp4/-sSDb_wZqKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.m3u8/-sSDb_wZqKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-sSDb_wZqKQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd55ad2ce", "sha": "33bd001f7e1f5ef5920758b061f3b0c5ee59034a", "translated_description": "", "image_url": "https://img.youtube.com/vi/-sSDb_wZqKQ/hqdefault.jpg", "youtube_id": "-sSDb_wZqKQ", "content_kind": "Video", "readable_id": "multistep-word-problems-example-3"}], "twitter_url": "", "translated_description": "You already have many tools in your mathematical toolkit. In this topic, you'll use these in settings that you're likely to encounter in the real world!\n\nCommon Core Standards: 7.EE.B.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You already have many tools in your mathematical toolkit. In this topic, you'll use these in settings that you're likely to encounter in the real world!\n\nCommon Core Standards: 7.EE.B.3", "x_pos": 0.0, "node_slug": "cc-7th-multistep-word-probs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axccee2cbe", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs", "slug": "cc-7th-multistep-word-probs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7dc9a22d8b0954a3b3495fca782334583eac1190", "standalone_title": "Multi-step word problems", "y_pos": 0.0, "current_revision_key": "7dc9a22d8b0954a3b3495fca782334583eac1190", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-fractions-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbee72d33", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-fractions-decimals", "extended_slug": "math/cc-seventh-grade-math/cc-7th-fractions-decimals", "slug": "cc-7th-fractions-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "57a32c961d02dcf2c816c28e93fd259ecfe93aff", "standalone_title": "Fractions and decimals", "y_pos": 0.0, "current_revision_key": "57a32c961d02dcf2c816c28e93fd259ecfe93aff", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions", "translated_standalone_title": "Variables and expressions", "translated_title": "Variables and expressions", "gplus_url": "", "id": "x0a8c9f98", "old_key_name": null, "hide": false, "title": "Variables and expressions", "child_data": [{"kind": "Topic", "id": "x0ddd7efd"}, {"kind": "Topic", "id": "x1a58ba43"}, {"kind": "Topic", "id": "x9206d672"}, {"kind": "Topic", "id": "xdaf61500"}, {"kind": "Topic", "id": "x91d7b7d5"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions", "translated_standalone_title": "Manipulating expressions", "translated_title": "Manipulating expressions", "gplus_url": "", "id": "x0ddd7efd", "old_key_name": null, "hide": false, "title": "Manipulating expressions", "child_data": [{"kind": "Video", "id": 1027260826}, {"kind": "Video", "id": "x175edcf7"}, {"kind": "Video", "id": 1254705621}, {"kind": "Video", "id": 1254724496}, {"kind": "Video", "id": 1254690345}, {"kind": "Exercise", "id": 716798913}, {"kind": "Video", "id": 1027316723}, {"kind": "Exercise", "id": 716812878}, {"kind": "Video", "id": "x27be9457"}, {"kind": "Video", "id": "x5c7a8637"}, {"kind": "Exercise", "id": "x08db428f"}], "children": [{"translated_youtube_id": "CLWpkv6ccpA", "relative_url": "/video/combining-like-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms", "duration": 273, "translated_title": "Combining like terms", "translated_description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "id": "1027260826", "description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "title": "Combining like terms", "progress_key": "v1027260826", "edit_slug": "edit/v/1027260826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "extra_properties": null, "node_slug": "v/combining-like-terms", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-08T16:16:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.m3u8/CLWpkv6ccpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLWpkv6ccpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027260826", "sha": "0a11dc8cc38c035614802989f17a0d0bcd1cbe41", "translated_description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "image_url": "https://img.youtube.com/vi/CLWpkv6ccpA/hqdefault.jpg", "youtube_id": "CLWpkv6ccpA", "content_kind": "Video", "readable_id": "combining-like-terms"}, {"translated_youtube_id": "HB52UTcAv0g", "relative_url": "/video/adding-like-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-like-rational-terms", "duration": 74, "translated_title": "Adding like rational terms", "translated_description_html": "", "id": "x175edcf7", "description_html": "", "title": "Adding like rational terms", "progress_key": "vx175edcf7", "edit_slug": "edit/v/x175edcf7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-like-rational-terms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.m3u8/HB52UTcAv0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HB52UTcAv0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx175edcf7", "sha": "062d8bc554a4de66d081a341fb0d4949e2cb23fe", "translated_description": "", "image_url": "https://img.youtube.com/vi/HB52UTcAv0g/hqdefault.jpg", "youtube_id": "HB52UTcAv0g", "content_kind": "Video", "readable_id": "adding-like-rational-terms"}, {"translated_youtube_id": "P6_sK8hRWCA", "relative_url": "/video/combining-like-terms-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-1", "duration": 186, "translated_title": "Combining like terms 1", "translated_description_html": "", "id": "1254705621", "description_html": "", "title": "Combining like terms 1", "progress_key": "v1254705621", "edit_slug": "edit/v/1254705621", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/combining-like-terms-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-29T01:37:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.m3u8/P6_sK8hRWCA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P6_sK8hRWCA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254705621", "sha": "9a26c77de7ecdba9f5e331d1fda5366b2f5efc6f", "translated_description": "", "image_url": "https://img.youtube.com/vi/P6_sK8hRWCA/hqdefault.jpg", "youtube_id": "P6_sK8hRWCA", "content_kind": "Video", "readable_id": "combining-like-terms-1"}, {"translated_youtube_id": "1DgDt6gCUKs", "relative_url": "/video/combining-like-terms-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-2", "duration": 223, "translated_title": "Combining like terms 2", "translated_description_html": "Simplifying expression with like terms", "id": "1254724496", "description_html": "Simplifying expression with like terms", "title": "Combining like terms 2", "progress_key": "v1254724496", "edit_slug": "edit/v/1254724496", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simplifying expression with like terms", "extra_properties": null, "node_slug": "v/combining-like-terms-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T01:38:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.m3u8/1DgDt6gCUKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1DgDt6gCUKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254724496", "sha": "5f07124d125da404db31f78f15d9c95d76e95d52", "translated_description": "Simplifying expression with like terms", "image_url": "https://img.youtube.com/vi/1DgDt6gCUKs/hqdefault.jpg", "youtube_id": "1DgDt6gCUKs", "content_kind": "Video", "readable_id": "combining-like-terms-2"}, {"translated_youtube_id": "FNnmseBlvaY", "relative_url": "/video/combining-like-terms-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-3", "duration": 279, "translated_title": "Combining like terms 3", "translated_description_html": "Hairier example of combining like terms in an expression", "id": "1254690345", "description_html": "Hairier example of combining like terms in an expression", "title": "Combining like terms 3", "progress_key": "v1254690345", "edit_slug": "edit/v/1254690345", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hairier example of combining like terms in an expression", "extra_properties": null, "node_slug": "v/combining-like-terms-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-29T01:38:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.mp4/FNnmseBlvaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.mp4/FNnmseBlvaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.m3u8/FNnmseBlvaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FNnmseBlvaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254690345", "sha": "5c3c00489876fa8d510d166b6defac2c5c038b53", "translated_description": "Hairier example of combining like terms in an expression", "image_url": "https://img.youtube.com/vi/FNnmseBlvaY/hqdefault.jpg", "youtube_id": "FNnmseBlvaY", "content_kind": "Video", "readable_id": "combining-like-terms-3"}, {"translated_youtube_id": "3NHSwiv_pSE", "relative_url": "/video/combining-like-terms-and-the-distributive-property", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-and-the-distributive-property", "duration": 247, "translated_title": "Combining like terms and the distributive property", "translated_description_html": "Doing a few more involved examples of simplifying expressions", "id": "1027316723", "description_html": "Doing a few more involved examples of simplifying expressions", "title": "Combining like terms and the distributive property", "progress_key": "v1027316723", "edit_slug": "edit/v/1027316723", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Doing a few more involved examples of simplifying expressions", "extra_properties": null, "node_slug": "v/combining-like-terms-and-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-09-08T16:17:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.mp4/3NHSwiv_pSE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.mp4/3NHSwiv_pSE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.m3u8/3NHSwiv_pSE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3NHSwiv_pSE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027316723", "sha": "ea6a72d8b67bb420873510a50e4d23fe99dce8a2", "translated_description": "Doing a few more involved examples of simplifying expressions", "image_url": "https://img.youtube.com/vi/3NHSwiv_pSE/hqdefault.jpg", "youtube_id": "3NHSwiv_pSE", "content_kind": "Video", "readable_id": "combining-like-terms-and-the-distributive-property"}, {"translated_youtube_id": "OLVhZxHU38Q", "relative_url": "/video/factoring-a-linear-expression-with-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-a-linear-expression-with-rational-terms", "duration": 92, "translated_title": "Factoring a linear expression with rational terms", "translated_description_html": "", "id": "x27be9457", "description_html": "", "title": "Factoring a linear expression with rational terms", "progress_key": "vx27be9457", "edit_slug": "edit/v/x27be9457", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/factoring-a-linear-expression-with-rational-terms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.mp4/OLVhZxHU38Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.mp4/OLVhZxHU38Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.m3u8/OLVhZxHU38Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OLVhZxHU38Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27be9457", "sha": "5f97988456c1e9000abb266a1b22129a043f0332", "translated_description": "", "image_url": "https://img.youtube.com/vi/OLVhZxHU38Q/hqdefault.jpg", "youtube_id": "OLVhZxHU38Q", "content_kind": "Video", "readable_id": "factoring-a-linear-expression-with-rational-terms"}, {"translated_youtube_id": "V-5q6tKaRuM", "relative_url": "/video/distributive-property-with-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/distributive-property-with-rational-terms", "duration": 65, "translated_title": "Distributive property with rational terms", "translated_description_html": "", "id": "x5c7a8637", "description_html": "", "title": "Distributive property with rational terms", "progress_key": "vx5c7a8637", "edit_slug": "edit/v/x5c7a8637", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/distributive-property-with-rational-terms", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-09T19:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.mp4/V-5q6tKaRuM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.mp4/V-5q6tKaRuM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.m3u8/V-5q6tKaRuM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V-5q6tKaRuM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c7a8637", "sha": "47191927d4c31be3cfd15af0709e9479ecfcf24a", "translated_description": "", "image_url": "https://img.youtube.com/vi/V-5q6tKaRuM/hqdefault.jpg", "youtube_id": "V-5q6tKaRuM", "content_kind": "Video", "readable_id": "distributive-property-with-rational-terms"}], "twitter_url": "", "translated_description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standard: 7.EE.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standard: 7.EE.A.1", "x_pos": 0.0, "node_slug": "cc-7th-manipulating-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ddd7efd", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions", "slug": "cc-7th-manipulating-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1b8e2fb8243ba66aedd71647e55c77fb3e51ffa4", "standalone_title": "Manipulating expressions", "y_pos": 0.0, "current_revision_key": "1b8e2fb8243ba66aedd71647e55c77fb3e51ffa4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp", "translated_standalone_title": "Interpreting linear expressions", "translated_title": "Interpreting linear expressions", "gplus_url": "", "id": "x1a58ba43", "old_key_name": null, "hide": false, "title": "Interpreting linear expressions", "child_data": [{"kind": "Video", "id": "xdc8d5607"}, {"kind": "Video", "id": "xd74549ff"}, {"kind": "Exercise", "id": "x348258ef"}], "children": [{"translated_youtube_id": "ao9cx8JlJIU", "relative_url": "/video/interpreting-linear-expressions-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-linear-expressions-example", "duration": 112, "translated_title": "Interpreting linear expressions example", "translated_description_html": "", "id": "xdc8d5607", "description_html": "", "title": "Interpreting linear expressions example", "progress_key": "vxdc8d5607", "edit_slug": "edit/v/xdc8d5607", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-linear-expressions-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T20:31:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.mp4/ao9cx8JlJIU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.mp4/ao9cx8JlJIU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.m3u8/ao9cx8JlJIU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ao9cx8JlJIU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdc8d5607", "sha": "e9275d24c658aa6ed74bce1b50e51894bdaa2244", "translated_description": "", "image_url": "https://img.youtube.com/vi/ao9cx8JlJIU/hqdefault.jpg", "youtube_id": "ao9cx8JlJIU", "content_kind": "Video", "readable_id": "interpreting-linear-expressions-example"}, {"translated_youtube_id": "edVnqL2Z59A", "relative_url": "/video/interpreting-linear-expressions-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-linear-expressions-example-2", "duration": 122, "translated_title": "Interpreting linear expressions example 2", "translated_description_html": "", "id": "xd74549ff", "description_html": "", "title": "Interpreting linear expressions example 2", "progress_key": "vxd74549ff", "edit_slug": "edit/v/xd74549ff", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-linear-expressions-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T20:31:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.mp4/edVnqL2Z59A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.mp4/edVnqL2Z59A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.m3u8/edVnqL2Z59A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=edVnqL2Z59A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd74549ff", "sha": "fe00a4a528da5abae8836008231b32102c5694c9", "translated_description": "", "image_url": "https://img.youtube.com/vi/edVnqL2Z59A/hqdefault.jpg", "youtube_id": "edVnqL2Z59A", "content_kind": "Video", "readable_id": "interpreting-linear-expressions-example-2"}], "twitter_url": "", "translated_description": "Algebra is the language that aliens will use to communicate with us (that or Esperanto). In this tutorial, we'll learn to express and understand this language (Algebra, not Esperanto) a bit better.\n\nCommon Core Standard: 7.EE.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Algebra is the language that aliens will use to communicate with us (that or Esperanto). In this tutorial, we'll learn to express and understand this language (Algebra, not Esperanto) a bit better.\n\nCommon Core Standard: 7.EE.A.2", "x_pos": 0.0, "node_slug": "cc-7th-interpreting-lin-exp", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1a58ba43", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp", "slug": "cc-7th-interpreting-lin-exp", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a823f4d40cf134f958c5b983075b3c4729a32f51", "standalone_title": "Interpreting linear expressions", "y_pos": 0.0, "current_revision_key": "a823f4d40cf134f958c5b983075b3c4729a32f51", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations", "translated_standalone_title": "Two-step equations", "translated_title": "Two-step equations", "gplus_url": "", "id": "x9206d672", "old_key_name": null, "hide": false, "title": "Two-step equations", "child_data": [{"kind": "Video", "id": 948454929}, {"kind": "Video", "id": 948504421}, {"kind": "Video", "id": 8}, {"kind": "Video", "id": 23616}, {"kind": "Video", "id": 13179470}, {"kind": "Video", "id": 26777}, {"kind": "Exercise", "id": 3016}], "children": [{"translated_youtube_id": "5FBDqY41GjU", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 1", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "duration": 152, "translated_title": "Why we do the same thing to both sides: Simple equations", "translated_description_html": "Thinking about how to solve for an unknown mystery mass", "id": "948454929", "description_html": "Thinking about how to solve for an unknown mystery mass", "title": "Why we do the same thing to both sides: Simple equations", "progress_key": "v948454929", "edit_slug": "edit/v/948454929", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about how to solve for an unknown mystery mass", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T17:50:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.m3u8/5FBDqY41GjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FBDqY41GjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948454929", "sha": "cebead3e4c7498a415db506f1d913f537e7e5fea", "translated_description": "Thinking about how to solve for an unknown mystery mass", "image_url": "https://img.youtube.com/vi/5FBDqY41GjU/hqdefault.jpg", "youtube_id": "5FBDqY41GjU", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--simple-equations"}, {"translated_youtube_id": "_y_Q3_B2Vh8", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, two, step, equations", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "duration": 312, "translated_title": "Why we do the same thing to both sides: Two-step equations", "translated_description_html": "", "id": "948504421", "description_html": "", "title": "Why we do the same thing to both sides: Two-step equations", "progress_key": "v948504421", "edit_slug": "edit/v/948504421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--two-step-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-08-07T18:04:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.m3u8/_y_Q3_B2Vh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_y_Q3_B2Vh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948504421", "sha": "5271bfad921422ce83dcd50b567ae5842355e75a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_y_Q3_B2Vh8/hqdefault.jpg", "youtube_id": "_y_Q3_B2Vh8", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--two-step-equations"}, {"translated_youtube_id": "XoEn1LfVoTo", "relative_url": "/video/equations-2", "has_questions": false, "keywords": "Equations, algebra, basic, CC_7_EE_1, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/equations-2", "duration": 521, "translated_title": "Solving ax + b = c", "translated_description_html": "slightly more complicated equations", "id": "8", "description_html": "slightly more complicated equations", "title": "Solving ax + b = c", "progress_key": "v8", "edit_slug": "edit/v/8", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "slightly more complicated equations", "extra_properties": null, "node_slug": "v/equations-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.m3u8/XoEn1LfVoTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XoEn1LfVoTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8", "sha": "5f41acd0517cea0aaf4320d6909c46373540b446", "translated_description": "slightly more complicated equations", "image_url": "https://img.youtube.com/vi/XoEn1LfVoTo/hqdefault.jpg", "youtube_id": "XoEn1LfVoTo", "content_kind": "Video", "readable_id": "equations-2"}, {"translated_youtube_id": "tuVd355R-OQ", "relative_url": "/video/two-step-equations", "has_questions": false, "keywords": "Two, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/two-step-equations", "duration": 830, "translated_title": "Two-step equations", "translated_description_html": "Two-Step Equations", "id": "23616", "description_html": "Two-Step Equations", "title": "Two-step equations", "progress_key": "v23616", "edit_slug": "edit/v/23616", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Two-Step Equations", "extra_properties": null, "node_slug": "v/two-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.m3u8/tuVd355R-OQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tuVd355R-OQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23616", "sha": "4781ca7c638a7dea70fed39b4a08a6507d3b3deb", "translated_description": "Two-Step Equations", "image_url": "https://img.youtube.com/vi/tuVd355R-OQ/hqdefault.jpg", "youtube_id": "tuVd355R-OQ", "content_kind": "Video", "readable_id": "two-step-equations"}, {"translated_youtube_id": "iimpwYBiKNg", "relative_url": "/video/application-problems-with-equation-in-one-variable", "has_questions": false, "keywords": "u10_l1_t3_we2, Application, problems, with, equation, in, one, variable, CC_3_MD_8, CC_4_MD_3, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4, CC_7_EE_4_a, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/application-problems-with-equation-in-one-variable", "duration": 122, "translated_title": "Example: Dimensions of a garden", "translated_description_html": "Application problems with equation in one variable", "id": "13179470", "description_html": "Application problems with equation in one variable", "title": "Example: Dimensions of a garden", "progress_key": "v13179470", "edit_slug": "edit/v/13179470", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Application problems with equation in one variable", "extra_properties": null, "node_slug": "v/application-problems-with-equation-in-one-variable", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.m3u8/iimpwYBiKNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iimpwYBiKNg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179470", "sha": "b86de540a8685f2cca439838fe6ea6a7fa1c2664", "translated_description": "Application problems with equation in one variable", "image_url": "https://img.youtube.com/vi/iimpwYBiKNg/hqdefault.jpg", "youtube_id": "iimpwYBiKNg", "content_kind": "Video", "readable_id": "application-problems-with-equation-in-one-variable"}, {"translated_youtube_id": "p5e5mf_G3FI", "relative_url": "/video/solving-equations-1", "has_questions": false, "keywords": "U02_L1_T1_we1:, Solving, Equations, CC_8_EE_7, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-1", "duration": 184, "translated_title": "Example: Two-step equation with x/4 term", "translated_description_html": "Solving Equations 1", "id": "26777", "description_html": "Solving Equations 1", "title": "Example: Two-step equation with x/4 term", "progress_key": "v26777", "edit_slug": "edit/v/26777", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations 1", "extra_properties": null, "node_slug": "v/solving-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.m3u8/p5e5mf_G3FI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5e5mf_G3FI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26777", "sha": "235ead2d6ee8bcf721b088fc5d11ac56f1c3d42d", "translated_description": "Solving Equations 1", "image_url": "https://img.youtube.com/vi/p5e5mf_G3FI/hqdefault.jpg", "youtube_id": "p5e5mf_G3FI", "content_kind": "Video", "readable_id": "solving-equations-1"}], "twitter_url": "", "translated_description": "You saw very basic equations in 6th grade. Now we'll step things up a bit (literally), by tackling 2-step equations. Yee-Hah!\n\nCommon Core Standard: 7.EE.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You saw very basic equations in 6th grade. Now we'll step things up a bit (literally), by tackling 2-step equations. Yee-Hah!\n\nCommon Core Standard: 7.EE.B.4", "x_pos": 0.0, "node_slug": "cc-7th-2-step-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9206d672", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations", "slug": "cc-7th-2-step-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e43d2f8385ad7ee6b0131ab7b79e6db69955de60", "standalone_title": "Two-step equations", "y_pos": 0.0, "current_revision_key": "e43d2f8385ad7ee6b0131ab7b79e6db69955de60", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs", "translated_standalone_title": "Applying linear equations", "translated_title": "Applying linear equations", "gplus_url": "", "id": "xdaf61500", "old_key_name": null, "hide": false, "title": "Applying linear equations", "child_data": [{"kind": "Video", "id": 1243194170}, {"kind": "Exercise", "id": 1080749794}, {"kind": "Video", "id": "xdfc35e50"}, {"kind": "Exercise", "id": "xc3bee475"}, {"kind": "Video", "id": "xf0270049"}, {"kind": "Exercise", "id": 701927254}], "children": [{"translated_youtube_id": "roHvNNFXr4k", "relative_url": "/video/basic-linear-equation-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-linear-equation-word-problem", "duration": 286, "translated_title": "Basic linear equation word problem", "translated_description_html": "Constructing and solving a basic equation based on a word problem.", "id": "1243194170", "description_html": "Constructing and solving a basic equation based on a word problem.", "title": "Basic linear equation word problem", "progress_key": "v1243194170", "edit_slug": "edit/v/1243194170", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing and solving a basic equation based on a word problem.", "extra_properties": null, "node_slug": "v/basic-linear-equation-word-problem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-20T23:58:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.m3u8/roHvNNFXr4k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=roHvNNFXr4k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1243194170", "sha": "b37b95fac6c3514a5cb9c1b99b75bd66b7586029", "translated_description": "Constructing and solving a basic equation based on a word problem.", "image_url": "https://img.youtube.com/vi/roHvNNFXr4k/hqdefault.jpg", "youtube_id": "roHvNNFXr4k", "content_kind": "Video", "readable_id": "basic-linear-equation-word-problem"}, {"translated_youtube_id": "xKH1Evwu150", "relative_url": "/video/linear-equation-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/linear-equation-word-problem-example", "duration": 359, "translated_title": "Linear equation word problem example", "translated_description_html": "", "id": "xdfc35e50", "description_html": "", "title": "Linear equation word problem example", "progress_key": "vxdfc35e50", "edit_slug": "edit/v/xdfc35e50", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/linear-equation-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-21T14:38:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.mp4/xKH1Evwu150.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.mp4/xKH1Evwu150.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.m3u8/xKH1Evwu150.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xKH1Evwu150&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfc35e50", "sha": "3a62d3cf3444cc746fdaf832bd6774cb9933f68a", "translated_description": "", "image_url": "https://img.youtube.com/vi/xKH1Evwu150/hqdefault.jpg", "youtube_id": "xKH1Evwu150", "content_kind": "Video", "readable_id": "linear-equation-word-problem-example"}, {"translated_youtube_id": "YFqeMzfcyg4", "relative_url": "/video/segment-addition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/segment-addition", "duration": 221, "translated_title": "Segment addition", "translated_description_html": "", "id": "xf0270049", "description_html": "", "title": "Segment addition", "progress_key": "vxf0270049", "edit_slug": "edit/v/xf0270049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/segment-addition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.mp4/YFqeMzfcyg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.mp4/YFqeMzfcyg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.m3u8/YFqeMzfcyg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YFqeMzfcyg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf0270049", "sha": "53ee0e65f884c965d849bc4462c072963ff2a6b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/YFqeMzfcyg4/hqdefault.jpg", "youtube_id": "YFqeMzfcyg4", "content_kind": "Video", "readable_id": "segment-addition"}], "twitter_url": "", "translated_description": "Did you think that we were playing with equations just for fun? Nope. They are actually useful for solving real problems.\n\nCommon Core Standards: 7.EE.B.4, 7.EE.B.4a", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Did you think that we were playing with equations just for fun? Nope. They are actually useful for solving real problems.\n\nCommon Core Standards: 7.EE.B.4, 7.EE.B.4a", "x_pos": 0.0, "node_slug": "cc-7th-linear-eq-word-probs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdaf61500", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs", "slug": "cc-7th-linear-eq-word-probs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "86799d2318bdacb2f5c9db3164fdd578a79514ca", "standalone_title": "Applying linear equations", "y_pos": 0.0, "current_revision_key": "86799d2318bdacb2f5c9db3164fdd578a79514ca", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities", "translated_standalone_title": "Linear inequalities", "translated_title": "Linear inequalities", "gplus_url": "", "id": "x91d7b7d5", "old_key_name": null, "hide": false, "title": "Linear inequalities", "child_data": [{"kind": "Video", "id": 23662}, {"kind": "Video", "id": 13179475}, {"kind": "Video", "id": 26815}, {"kind": "Exercise", "id": 205299729}, {"kind": "Video", "id": 26814}, {"kind": "Video", "id": 26813}, {"kind": "Video", "id": 26820}, {"kind": "Video", "id": 26821}, {"kind": "Exercise", "id": "x8fd64f51"}], "children": [{"translated_youtube_id": "PNXozoJWsWc", "relative_url": "/video/inequalities-using-multiplication-and-division", "has_questions": false, "keywords": "Inequalities, Using, Multiplication, and, Division, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/inequalities-using-multiplication-and-division", "duration": 627, "translated_title": "Inequalities using multiplication and division", "translated_description_html": "Inequalities Using Multiplication and Division", "id": "23662", "description_html": "Inequalities Using Multiplication and Division", "title": "Inequalities using multiplication and division", "progress_key": "v23662", "edit_slug": "edit/v/23662", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inequalities Using Multiplication and Division", "extra_properties": null, "node_slug": "v/inequalities-using-multiplication-and-division", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.m3u8/PNXozoJWsWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PNXozoJWsWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23662", "sha": "24b7d782340e0cc43ace21bd1508406a96290680", "translated_description": "Inequalities Using Multiplication and Division", "image_url": "https://img.youtube.com/vi/PNXozoJWsWc/hqdefault.jpg", "youtube_id": "PNXozoJWsWc", "content_kind": "Video", "readable_id": "inequalities-using-multiplication-and-division"}, {"translated_youtube_id": "D1cKk48kz-E", "relative_url": "/video/one-step-inequalities-2", "has_questions": false, "keywords": "u10_l2_t1_we3, One-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3", "ka_url": "http://www.khanacademy.org/video/one-step-inequalities-2", "duration": 174, "translated_title": "One-step inequality with multiplication and division example", "translated_description_html": "

One-Step Inequalities 2<\/p>\n", "id": "13179475", "description_html": "

One-Step Inequalities 2<\/p>\n", "title": "One-step inequality with multiplication and division example", "progress_key": "v13179475", "edit_slug": "edit/v/13179475", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "One-Step Inequalities 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/one-step-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.mp4/D1cKk48kz-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.mp4/D1cKk48kz-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.m3u8/D1cKk48kz-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D1cKk48kz-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179475", "sha": "4abe2292682f5cdfdac0c9a37557e1308ec31a17", "translated_description": "One-Step Inequalities 2\n", "image_url": "https://img.youtube.com/vi/D1cKk48kz-E/hqdefault.jpg", "youtube_id": "D1cKk48kz-E", "content_kind": "Video", "readable_id": "one-step-inequalities-2"}, {"translated_youtube_id": "FZ2APP6-grU", "relative_url": "/video/inequalities", "has_questions": false, "keywords": "Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/inequalities", "duration": 129, "translated_title": "Constructing and solving one-step inequality", "translated_description_html": "Inequalities", "id": "26815", "description_html": "Inequalities", "title": "Constructing and solving one-step inequality", "progress_key": "v26815", "edit_slug": "edit/v/26815", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing an inequality of the form Ax < B and then solving", "extra_properties": null, "node_slug": "v/inequalities", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.mp4/FZ2APP6-grU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.mp4/FZ2APP6-grU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.m3u8/FZ2APP6-grU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FZ2APP6-grU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26815", "sha": "39907267ee04d2866f22178cfe4335f62b0363e8", "translated_description": "Constructing an inequality of the form Ax < B and then solving", "image_url": "https://img.youtube.com/vi/FZ2APP6-grU/hqdefault.jpg", "youtube_id": "FZ2APP6-grU", "content_kind": "Video", "readable_id": "inequalities"}, {"translated_youtube_id": "y7QLay8wrW8", "relative_url": "/video/solving-inequalities", "has_questions": false, "keywords": "U05_L1_T1_we2, Solving, Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-inequalities", "duration": 272, "translated_title": "Two-step inequality example", "translated_description_html": "Solving Inequalities", "id": "26814", "description_html": "Solving Inequalities", "title": "Two-step inequality example", "progress_key": "v26814", "edit_slug": "edit/v/26814", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Inequalities", "extra_properties": null, "node_slug": "v/solving-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.mp4/y7QLay8wrW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.mp4/y7QLay8wrW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.m3u8/y7QLay8wrW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y7QLay8wrW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26814", "sha": "1577df83d01116846d0944b115054269598c809f", "translated_description": "Solving Inequalities", "image_url": "https://img.youtube.com/vi/y7QLay8wrW8/hqdefault.jpg", "youtube_id": "y7QLay8wrW8", "content_kind": "Video", "readable_id": "solving-inequalities"}, {"translated_youtube_id": "wo7DSaPP8hQ", "relative_url": "/video/interpreting-inequalities", "has_questions": false, "keywords": "U05_L1_T1_we1, Interpreting, Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/interpreting-inequalities", "duration": 399, "translated_title": "Interpreting inequalities", "translated_description_html": "Interpreting Inequalities", "id": "26813", "description_html": "Interpreting Inequalities", "title": "Interpreting inequalities", "progress_key": "v26813", "edit_slug": "edit/v/26813", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interpreting Inequalities", "extra_properties": null, "node_slug": "v/interpreting-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.mp4/wo7DSaPP8hQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.mp4/wo7DSaPP8hQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.m3u8/wo7DSaPP8hQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wo7DSaPP8hQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26813", "sha": "57c6b88365345e4c27bbfeb5e2527e4b5b8f5bae", "translated_description": "Interpreting Inequalities", "image_url": "https://img.youtube.com/vi/wo7DSaPP8hQ/hqdefault.jpg", "youtube_id": "wo7DSaPP8hQ", "content_kind": "Video", "readable_id": "interpreting-inequalities"}, {"translated_youtube_id": "cCMpin3Te4s", "relative_url": "/video/writing-and-using-inequalities-2", "has_questions": false, "keywords": "U05_L1_T3_we2, Writing, and, using, inequalities, CC_6_EE_6, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/writing-and-using-inequalities-2", "duration": 400, "translated_title": "Writing and using inequalities 2", "translated_description_html": "Writing and using inequalities 2", "id": "26820", "description_html": "Writing and using inequalities 2", "title": "Writing and using inequalities 2", "progress_key": "v26820", "edit_slug": "edit/v/26820", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing and using inequalities 2", "extra_properties": null, "node_slug": "v/writing-and-using-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.mp4/cCMpin3Te4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.mp4/cCMpin3Te4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.m3u8/cCMpin3Te4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cCMpin3Te4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26820", "sha": "2db175c6ecb8f46d0b88c1789b0fec8169f7393b", "translated_description": "Writing and using inequalities 2", "image_url": "https://img.youtube.com/vi/cCMpin3Te4s/hqdefault.jpg", "youtube_id": "cCMpin3Te4s", "content_kind": "Video", "readable_id": "writing-and-using-inequalities-2"}, {"translated_youtube_id": "pbLiN8D9gAk", "relative_url": "/video/writing-and-using-inequalities-3", "has_questions": false, "keywords": "U05_L1_T3_we3, Writing, and, using, inequalities, CC_6_EE_6, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/writing-and-using-inequalities-3", "duration": 121, "translated_title": "Writing and using inequalities 3", "translated_description_html": "Writing and using inequalities 3", "id": "26821", "description_html": "Writing and using inequalities 3", "title": "Writing and using inequalities 3", "progress_key": "v26821", "edit_slug": "edit/v/26821", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing and using inequalities 3", "extra_properties": null, "node_slug": "v/writing-and-using-inequalities-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.mp4/pbLiN8D9gAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.mp4/pbLiN8D9gAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.m3u8/pbLiN8D9gAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pbLiN8D9gAk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26821", "sha": "83eb051dde6bdc31d8b6f004986bf775a5592070", "translated_description": "Writing and using inequalities 3", "image_url": "https://img.youtube.com/vi/pbLiN8D9gAk/hqdefault.jpg", "youtube_id": "pbLiN8D9gAk", "content_kind": "Video", "readable_id": "writing-and-using-inequalities-3"}], "twitter_url": "", "translated_description": "Not everything in the world is equal, and that is true for expressions. We can still come to some useful conclusions though!\n\nCommon Core Standard: 7.EE.B.4b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Not everything in the world is equal, and that is true for expressions. We can still come to some useful conclusions though!\n\nCommon Core Standard: 7.EE.B.4b", "x_pos": 0.0, "node_slug": "cc-7th-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax91d7b7d5", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities", "slug": "cc-7th-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8d6c6cdad20a00606d84e926ceb2585a7f81c5f6", "standalone_title": "Linear inequalities", "y_pos": 0.0, "current_revision_key": "8d6c6cdad20a00606d84e926ceb2585a7f81c5f6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-variables-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a8c9f98", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-variables-expressions", "extended_slug": "math/cc-seventh-grade-math/cc-7th-variables-expressions", "slug": "cc-7th-variables-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e1f2538136be13f0bc9dd16f36800ca60ffafdf2", "standalone_title": "Variables and expressions", "y_pos": 0.0, "current_revision_key": "e1f2538136be13f0bc9dd16f36800ca60ffafdf2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "xc1a4d524", "old_key_name": null, "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "x526cb7a1"}, {"kind": "Topic", "id": "x50da4386"}, {"kind": "Topic", "id": "x97138202"}, {"kind": "Topic", "id": "xa432b846"}, {"kind": "Topic", "id": "xe4fb85cc"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings", "translated_standalone_title": "Scale drawings", "translated_title": "Scale drawings", "gplus_url": "", "id": "x526cb7a1", "old_key_name": null, "hide": false, "title": "Scale drawings", "child_data": [{"kind": "Video", "id": "x20cf89b2"}, {"kind": "Video", "id": "x6b901e6c"}, {"kind": "Exercise", "id": "xbe226bed"}, {"kind": "Video", "id": "xb773c610"}, {"kind": "Exercise", "id": "x9c008d17"}], "children": [{"translated_youtube_id": "byjmR7JBXKc", "relative_url": "/video/scale-drawings-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/scale-drawings-example", "duration": 266, "translated_title": "Interpreting a scale drawing to find living room area", "translated_description_html": "", "id": "x20cf89b2", "description_html": "", "title": "Interpreting a scale drawing to find living room area", "progress_key": "vx20cf89b2", "edit_slug": "edit/v/x20cf89b2", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/scale-drawings-example", "deleted": false, "backup_timestamp": "2013-10-30T14:59:25Z", "date_added": "2013-10-30T14:59:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/byjmR7JBXKc.mp4/byjmR7JBXKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/byjmR7JBXKc.mp4/byjmR7JBXKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/byjmR7JBXKc.m3u8/byjmR7JBXKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=byjmR7JBXKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx20cf89b2", "sha": "9abd6c0bb87ac2aadf13069eaebd6058e73e374f", "translated_description": "", "image_url": "https://img.youtube.com/vi/byjmR7JBXKc/hqdefault.jpg", "youtube_id": "byjmR7JBXKc", "content_kind": "Video", "readable_id": "scale-drawings-example"}, {"translated_youtube_id": "EgOyJJxuuP8", "relative_url": "/video/scale-drawing-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/scale-drawing-example-2", "duration": 351, "translated_title": "Interpreting scale drawings example", "translated_description_html": "", "id": "x6b901e6c", "description_html": "", "title": "Interpreting scale drawings example", "progress_key": "vx6b901e6c", "edit_slug": "edit/v/x6b901e6c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/scale-drawing-example-2", "deleted": false, "backup_timestamp": "2013-10-30T14:59:25Z", "date_added": "2013-10-30T14:59:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EgOyJJxuuP8.mp4/EgOyJJxuuP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EgOyJJxuuP8.mp4/EgOyJJxuuP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EgOyJJxuuP8.m3u8/EgOyJJxuuP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EgOyJJxuuP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6b901e6c", "sha": "95cf0015f2dbac7b6d584d3ffe66cd515da47401", "translated_description": "", "image_url": "https://img.youtube.com/vi/EgOyJJxuuP8/hqdefault.jpg", "youtube_id": "EgOyJJxuuP8", "content_kind": "Video", "readable_id": "scale-drawing-example-2"}, {"translated_youtube_id": "f-gCYOCFMYc", "relative_url": "/video/Constructing scale drawings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Constructing scale drawings", "duration": 198, "translated_title": "Constructing scale drawings", "translated_description_html": "", "id": "xb773c610", "description_html": "", "title": "Constructing scale drawings", "progress_key": "vxb773c610", "edit_slug": "edit/v/xb773c610", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Constructing scale drawings", "deleted": false, "backup_timestamp": "2013-10-30T14:59:25Z", "date_added": "2013-10-30T14:59:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f-gCYOCFMYc.mp4/f-gCYOCFMYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f-gCYOCFMYc.mp4/f-gCYOCFMYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f-gCYOCFMYc.m3u8/f-gCYOCFMYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f-gCYOCFMYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb773c610", "sha": "674e17493b07cd859a42ce9c5e2e74f4700b0198", "translated_description": "", "image_url": "https://img.youtube.com/vi/f-gCYOCFMYc/hqdefault.jpg", "youtube_id": "f-gCYOCFMYc", "content_kind": "Video", "readable_id": "Constructing scale drawings"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-scale-drawings", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-27T23:39:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax526cb7a1", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings", "slug": "cc-7th-scale-drawings", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e18ac4f1bc752093034996cafa65fe92aadf3da8", "standalone_title": "Scale drawings", "y_pos": 0.0, "current_revision_key": "e18ac4f1bc752093034996cafa65fe92aadf3da8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference", "translated_standalone_title": "Area and circumference of circles", "translated_title": "Area and circumference of circles", "gplus_url": "", "id": "x50da4386", "old_key_name": null, "hide": false, "title": "Area and circumference of circles", "child_data": [{"kind": "Video", "id": 24957}, {"kind": "Video", "id": 370305280}, {"kind": "Exercise", "id": 720782619}, {"kind": "Video", "id": 370305273}, {"kind": "Exercise", "id": 720935156}, {"kind": "Video", "id": "x875f3feb"}, {"kind": "Video", "id": "x1f3c3d07"}, {"kind": "Video", "id": "x057e031d"}, {"kind": "Exercise", "id": "x6db5022d"}], "children": [{"translated_youtube_id": "jyLRpr2P0MQ", "relative_url": "/video/circles--radius--diameter-and-circumference", "has_questions": false, "keywords": "radius, diameter, circumference, circle, CC_7_G_4", "ka_url": "http://www.khanacademy.org/video/circles--radius--diameter-and-circumference", "duration": 665, "translated_title": "Circles: Radius, diameter, and circumference", "translated_description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "id": "24957", "description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "title": "Circles: Radius, diameter, and circumference", "progress_key": "v24957", "edit_slug": "edit/v/24957", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the relationship between the radius diameter and circumference of a circle.", "extra_properties": {}, "node_slug": "v/circles--radius--diameter-and-circumference", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.m3u8/jyLRpr2P0MQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jyLRpr2P0MQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24957", "sha": "ae5b5cc1def38cda499a948f0dbabddb63446323", "translated_description": "Understanding the relationship between the radius diameter and circumference of a circle.", "image_url": "https://img.youtube.com/vi/jyLRpr2P0MQ/hqdefault.jpg", "youtube_id": "jyLRpr2P0MQ", "content_kind": "Video", "readable_id": "circles--radius--diameter-and-circumference"}, {"translated_youtube_id": "04N79tItPEA", "relative_url": "/video/parts-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we1, Parts, of, Circle", "ka_url": "http://www.khanacademy.org/video/parts-of-a-circle", "duration": 121, "translated_title": "Parts of a circle", "translated_description_html": "Parts of a Circle", "id": "370305280", "description_html": "Parts of a Circle", "title": "Parts of a circle", "progress_key": "v370305280", "edit_slug": "edit/v/370305280", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts of a Circle", "extra_properties": null, "node_slug": "v/parts-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.m3u8/04N79tItPEA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=04N79tItPEA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305280", "sha": "4824b218d2058c96f987c67dca2af003eff697b7", "translated_description": "Parts of a Circle", "image_url": "https://img.youtube.com/vi/04N79tItPEA/hqdefault.jpg", "youtube_id": "04N79tItPEA", "content_kind": "Video", "readable_id": "parts-of-a-circle"}, {"translated_youtube_id": "ZyOhRgnFmIY", "relative_url": "/video/area-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we3, Area, of, Circle", "ka_url": "http://www.khanacademy.org/video/area-of-a-circle", "duration": 242, "translated_title": "Area of a circle", "translated_description_html": "Area of a Circle", "id": "370305273", "description_html": "Area of a Circle", "title": "Area of a circle", "progress_key": "v370305273", "edit_slug": "edit/v/370305273", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Area of a Circle", "extra_properties": null, "node_slug": "v/area-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.m3u8/ZyOhRgnFmIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyOhRgnFmIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305273", "sha": "76509369d90327f0c0d036c2732c4f651aa8baaf", "translated_description": "Area of a Circle", "image_url": "https://img.youtube.com/vi/ZyOhRgnFmIY/hqdefault.jpg", "youtube_id": "ZyOhRgnFmIY", "content_kind": "Video", "readable_id": "area-of-a-circle"}, {"translated_youtube_id": "Rcb7ZUTOQ1I", "relative_url": "/video/Circumference-from-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Circumference-from-area", "duration": 113, "translated_title": "Circumference from area", "translated_description_html": "", "id": "x875f3feb", "description_html": "", "title": "Circumference from area", "progress_key": "vx875f3feb", "edit_slug": "edit/v/x875f3feb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Circumference-from-area", "deleted": false, "backup_timestamp": "2013-10-26T05:47:24Z", "date_added": "2013-10-26T05:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rcb7ZUTOQ1I.mp4/Rcb7ZUTOQ1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rcb7ZUTOQ1I.mp4/Rcb7ZUTOQ1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rcb7ZUTOQ1I.m3u8/Rcb7ZUTOQ1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rcb7ZUTOQ1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx875f3feb", "sha": "7f2b0358d8dcdfc6a2bce2858315c0ce2137be1f", "translated_description": "", "image_url": "https://img.youtube.com/vi/Rcb7ZUTOQ1I/hqdefault.jpg", "youtube_id": "Rcb7ZUTOQ1I", "content_kind": "Video", "readable_id": "Circumference-from-area"}, {"translated_youtube_id": "gbGghzo7yEM", "relative_url": "/video/Area-of-shaded-region", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Area-of-shaded-region", "duration": 91, "translated_title": "Area of shaded region", "translated_description_html": "", "id": "x1f3c3d07", "description_html": "", "title": "Area of shaded region", "progress_key": "vx1f3c3d07", "edit_slug": "edit/v/x1f3c3d07", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Area-of-shaded-region", "deleted": false, "backup_timestamp": "2013-10-26T05:47:24Z", "date_added": "2013-10-26T05:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gbGghzo7yEM.mp4/gbGghzo7yEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gbGghzo7yEM.mp4/gbGghzo7yEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gbGghzo7yEM.m3u8/gbGghzo7yEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gbGghzo7yEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1f3c3d07", "sha": "36be050f409c8c5551a717ead6f2780098ea64d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/gbGghzo7yEM/hqdefault.jpg", "youtube_id": "gbGghzo7yEM", "content_kind": "Video", "readable_id": "Area-of-shaded-region"}, {"translated_youtube_id": "GB9Rqsah2gs", "relative_url": "/video/radius-change-impact", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/radius-change-impact", "duration": 211, "translated_title": "Radius change impact", "translated_description_html": "", "id": "x057e031d", "description_html": "", "title": "Radius change impact", "progress_key": "vx057e031d", "edit_slug": "edit/v/x057e031d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/radius-change-impact", "deleted": false, "backup_timestamp": "2013-10-26T05:47:24Z", "date_added": "2013-10-26T05:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GB9Rqsah2gs.mp4/GB9Rqsah2gs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GB9Rqsah2gs.mp4/GB9Rqsah2gs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GB9Rqsah2gs.m3u8/GB9Rqsah2gs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GB9Rqsah2gs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx057e031d", "sha": "6c19bdd0bc0df3089254f93f98cfa4e86a90f979", "translated_description": "", "image_url": "https://img.youtube.com/vi/GB9Rqsah2gs/hqdefault.jpg", "youtube_id": "GB9Rqsah2gs", "content_kind": "Video", "readable_id": "radius-change-impact"}], "twitter_url": "", "translated_description": "You already know about area and perimeter of lots of shapes. Now we'll round out those concepts by applying them to circles. Mathematicians call the distance around a circle its circumference and the space inside a circle its area.\n \nIn this tutorial, we'll learn that there's another type of pi in the math world, and it's even more awesome than apple pie. We'll use pi to find the circumference and area of any circle in the world, no matter how big or how small!\n\nCommon Core Standards: 7.G.B.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You already know about area and perimeter of lots of shapes. Now we'll round out those concepts by applying them to circles. Mathematicians call the distance around a circle its circumference and the space inside a circle its area.\n \nIn this tutorial, we'll learn that there's another type of pi in the math world, and it's even more awesome than apple pie. We'll use pi to find the circumference and area of any circle in the world, no matter how big or how small!\n\nCommon Core Standards: 7.G.B.4", "x_pos": 0.0, "node_slug": "cc-7th-area-circumference", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax50da4386", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference", "slug": "cc-7th-area-circumference", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "54de30e77ee4aed6057e3e41f3b6583f90f8f19a", "standalone_title": "Area and circumference of circles", "y_pos": 0.0, "current_revision_key": "54de30e77ee4aed6057e3e41f3b6583f90f8f19a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area", "translated_standalone_title": "Area, volume, and surface area", "translated_title": "Area, volume, and surface area", "gplus_url": "", "id": "x97138202", "old_key_name": null, "hide": false, "title": "Area, volume, and surface area", "child_data": [{"kind": "Video", "id": "xd26b50ec"}, {"kind": "Video", "id": 60129394}, {"kind": "Video", "id": "x9b271d72"}, {"kind": "Exercise", "id": "x4f1718ae"}], "children": [{"translated_youtube_id": "ViFLPsLTO1k", "relative_url": "/video/volume-of-gold-ring", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/volume-of-gold-ring", "duration": 160, "translated_title": "Volume of gold ring", "translated_description_html": "", "id": "xd26b50ec", "description_html": "", "title": "Volume of gold ring", "progress_key": "vxd26b50ec", "edit_slug": "edit/v/xd26b50ec", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/volume-of-gold-ring", "deleted": false, "backup_timestamp": "2013-10-27T05:44:06Z", "date_added": "2013-10-27T05:44:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ViFLPsLTO1k.mp4/ViFLPsLTO1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ViFLPsLTO1k.mp4/ViFLPsLTO1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ViFLPsLTO1k.m3u8/ViFLPsLTO1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ViFLPsLTO1k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd26b50ec", "sha": "bb214c4a7201513f9026fd9c1c29f371205518c2", "translated_description": "", "image_url": "https://img.youtube.com/vi/ViFLPsLTO1k/hqdefault.jpg", "youtube_id": "ViFLPsLTO1k", "content_kind": "Video", "readable_id": "volume-of-gold-ring"}, {"translated_youtube_id": "ZqzAOZ9pP9Q", "relative_url": "/video/solid-geometry-volume", "has_questions": false, "keywords": "volume, geometry, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_a, CC_5_MD_5_b, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solid-geometry-volume", "duration": 236, "translated_title": "Solid geometry volume", "translated_description_html": "Volume of triangular prisms and cubes", "id": "60129394", "description_html": "Volume of triangular prisms and cubes", "title": "Solid geometry volume", "progress_key": "v60129394", "edit_slug": "edit/v/60129394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of triangular prisms and cubes", "extra_properties": null, "node_slug": "v/solid-geometry-volume", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.m3u8/ZqzAOZ9pP9Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZqzAOZ9pP9Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129394", "sha": "63a4961f47ff374655de6b3022a398c9ccc2968e", "translated_description": "Volume of triangular prisms and cubes", "image_url": "https://img.youtube.com/vi/ZqzAOZ9pP9Q/hqdefault.jpg", "youtube_id": "ZqzAOZ9pP9Q", "content_kind": "Video", "readable_id": "solid-geometry-volume"}, {"translated_youtube_id": "AxHAQ5l45FE", "relative_url": "/video/crates-in-boxcar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crates-in-boxcar", "duration": 287, "translated_title": "Fitting crates in a boxcar", "translated_description_html": "", "id": "x9b271d72", "description_html": "", "title": "Fitting crates in a boxcar", "progress_key": "vx9b271d72", "edit_slug": "edit/v/x9b271d72", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/crates-in-boxcar", "deleted": false, "backup_timestamp": "2013-10-27T05:44:07Z", "date_added": "2013-10-27T05:44:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AxHAQ5l45FE.mp4/AxHAQ5l45FE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AxHAQ5l45FE.mp4/AxHAQ5l45FE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AxHAQ5l45FE.m3u8/AxHAQ5l45FE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AxHAQ5l45FE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9b271d72", "sha": "2a0795200698bedf935dcdb4e4149573fa2bc8c3", "translated_description": "", "image_url": "https://img.youtube.com/vi/AxHAQ5l45FE/hqdefault.jpg", "youtube_id": "AxHAQ5l45FE", "content_kind": "Video", "readable_id": "crates-in-boxcar"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-area-volume-surface-area", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T01:19:53Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97138202", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area", "slug": "cc-7th-area-volume-surface-area", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f71c76b702a68ce463b9367621d33a4f22d6d65d", "standalone_title": "Area, volume, and surface area", "y_pos": 0.0, "current_revision_key": "f71c76b702a68ce463b9367621d33a4f22d6d65d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles", "translated_standalone_title": "Angles", "translated_title": "Angles", "gplus_url": "", "id": "xa432b846", "old_key_name": null, "hide": false, "title": "Angles", "child_data": [{"kind": "Video", "id": 263439064}, {"kind": "Exercise", "id": 47799044}, {"kind": "Video", "id": 263439063}, {"kind": "Exercise", "id": 265340597}, {"kind": "Video", "id": "x0fe8e133"}, {"kind": "Video", "id": "x2e4ad4ea"}, {"kind": "Exercise", "id": 729494328}, {"kind": "Video", "id": "x67c17e9a"}, {"kind": "Exercise", "id": 415276545}, {"kind": "Video", "id": "xb15e7f87"}, {"kind": "Video", "id": "xa2a27151"}, {"kind": "Exercise", "id": "x9b3feb3c"}], "children": [{"translated_youtube_id": "BTnAlNSgNsY", "relative_url": "/video/complementary-and-supplementary-angles", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/complementary-and-supplementary-angles", "duration": 511, "translated_title": "Complementary and supplementary angles", "translated_description_html": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "id": "263439064", "description_html": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "title": "Complementary and supplementary angles", "progress_key": "v263439064", "edit_slug": "edit/v/263439064", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "extra_properties": {"original_url": ""}, "node_slug": "v/complementary-and-supplementary-angles", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.mp4/BTnAlNSgNsY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.mp4/BTnAlNSgNsY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.m3u8/BTnAlNSgNsY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BTnAlNSgNsY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439064", "sha": "8ad51c6c462830ea7019f032e7ea42023403f475", "translated_description": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "image_url": "https://img.youtube.com/vi/BTnAlNSgNsY/hqdefault.jpg", "youtube_id": "BTnAlNSgNsY", "content_kind": "Video", "readable_id": "complementary-and-supplementary-angles"}, {"translated_youtube_id": "_7aUxFzTG5w", "relative_url": "/video/angles-at-the-intersection-of-two-lines", "has_questions": false, "keywords": "Angles, at, the, intersection, of, two, lines", "ka_url": "http://www.khanacademy.org/video/angles-at-the-intersection-of-two-lines", "duration": 439, "translated_title": "Introduction to vertical angles", "translated_description_html": "

Figuring out angles at the intersection of two lines<\/p>\n", "id": "263439063", "description_html": "

Figuring out angles at the intersection of two lines<\/p>\n", "title": "Introduction to vertical angles", "progress_key": "v263439063", "edit_slug": "edit/v/263439063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Figuring out angles at the intersection of two lines\n", "extra_properties": {"original_url": ""}, "node_slug": "v/angles-at-the-intersection-of-two-lines", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.mp4/_7aUxFzTG5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.mp4/_7aUxFzTG5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.m3u8/_7aUxFzTG5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_7aUxFzTG5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439063", "sha": "61225fe1978ba2e5592af7d885fff6acf068f87a", "translated_description": "Figuring out angles at the intersection of two lines\n", "image_url": "https://img.youtube.com/vi/_7aUxFzTG5w/hqdefault.jpg", "youtube_id": "_7aUxFzTG5w", "content_kind": "Video", "readable_id": "angles-at-the-intersection-of-two-lines"}, {"translated_youtube_id": "XDOH9Ul2OOM", "relative_url": "/video/example-using-algebra-to-find-measure-of-complementary-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-using-algebra-to-find-measure-of-complementary-angles", "duration": 153, "translated_title": "Example using algebra to find measure of complementary angles", "translated_description_html": "", "id": "x0fe8e133", "description_html": "", "title": "Example using algebra to find measure of complementary angles", "progress_key": "vx0fe8e133", "edit_slug": "edit/v/x0fe8e133", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/example-using-algebra-to-find-measure-of-complementary-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.mp4/XDOH9Ul2OOM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.mp4/XDOH9Ul2OOM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.m3u8/XDOH9Ul2OOM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDOH9Ul2OOM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0fe8e133", "sha": "e5069474aaf822894351a0533214951d0546770a", "translated_description": "", "image_url": "https://img.youtube.com/vi/XDOH9Ul2OOM/hqdefault.jpg", "youtube_id": "XDOH9Ul2OOM", "content_kind": "Video", "readable_id": "example-using-algebra-to-find-measure-of-complementary-angles"}, {"translated_youtube_id": "zNtbi4OJs9I", "relative_url": "/video/example-using-algebra-to-find-measure-of-supplementary-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-using-algebra-to-find-measure-of-supplementary-angles", "duration": 157, "translated_title": "Example using algebra to find measure of supplementary angles", "translated_description_html": "", "id": "x2e4ad4ea", "description_html": "", "title": "Example using algebra to find measure of supplementary angles", "progress_key": "vx2e4ad4ea", "edit_slug": "edit/v/x2e4ad4ea", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/example-using-algebra-to-find-measure-of-supplementary-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:56:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.mp4/zNtbi4OJs9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.mp4/zNtbi4OJs9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.m3u8/zNtbi4OJs9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zNtbi4OJs9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2e4ad4ea", "sha": "7da866a863a53a31a36534bf5105471e28a062a1", "translated_description": "", "image_url": "https://img.youtube.com/vi/zNtbi4OJs9I/hqdefault.jpg", "youtube_id": "zNtbi4OJs9I", "content_kind": "Video", "readable_id": "example-using-algebra-to-find-measure-of-supplementary-angles"}, {"translated_youtube_id": "2CZrkdtgeNU", "relative_url": "/video/using-algebra-to-find-the-measures-of-vertical-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-algebra-to-find-the-measures-of-vertical-angles", "duration": 154, "translated_title": "Using algebra to find the measures of vertical angles", "translated_description_html": "", "id": "x67c17e9a", "description_html": "", "title": "Using algebra to find the measures of vertical angles", "progress_key": "vx67c17e9a", "edit_slug": "edit/v/x67c17e9a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-algebra-to-find-the-measures-of-vertical-angles", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-07T19:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.mp4/2CZrkdtgeNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.mp4/2CZrkdtgeNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.m3u8/2CZrkdtgeNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2CZrkdtgeNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx67c17e9a", "sha": "0da8939b0743e94a90c38969e97383b92734f47f", "translated_description": "", "image_url": "https://img.youtube.com/vi/2CZrkdtgeNU/hqdefault.jpg", "youtube_id": "2CZrkdtgeNU", "content_kind": "Video", "readable_id": "using-algebra-to-find-the-measures-of-vertical-angles"}, {"translated_youtube_id": "TOobWKx1xe0", "relative_url": "/video/solving-for-unknown-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-for-unknown-angles", "duration": 180, "translated_title": "Solving for angles", "translated_description_html": "", "id": "xb15e7f87", "description_html": "", "title": "Solving for angles", "progress_key": "vxb15e7f87", "edit_slug": "edit/v/xb15e7f87", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-for-unknown-angles", "deleted": false, "backup_timestamp": "2013-10-26T06:36:16Z", "date_added": "2013-10-26T06:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TOobWKx1xe0.mp4/TOobWKx1xe0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TOobWKx1xe0.mp4/TOobWKx1xe0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TOobWKx1xe0.m3u8/TOobWKx1xe0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TOobWKx1xe0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb15e7f87", "sha": "fa847781f9b1500d7ca7abbe1682a0693c28d199", "translated_description": "", "image_url": "https://img.youtube.com/vi/TOobWKx1xe0/hqdefault.jpg", "youtube_id": "TOobWKx1xe0", "content_kind": "Video", "readable_id": "solving-for-unknown-angles"}, {"translated_youtube_id": "3u9Ux29MSXE", "relative_url": "/video/pie-splitting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pie-splitting", "duration": 274, "translated_title": "Splitting pie with family", "translated_description_html": "", "id": "xa2a27151", "description_html": "", "title": "Splitting pie with family", "progress_key": "vxa2a27151", "edit_slug": "edit/v/xa2a27151", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/pie-splitting", "deleted": false, "backup_timestamp": "2013-10-26T06:36:16Z", "date_added": "2013-10-26T06:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3u9Ux29MSXE.mp4/3u9Ux29MSXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3u9Ux29MSXE.mp4/3u9Ux29MSXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3u9Ux29MSXE.m3u8/3u9Ux29MSXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3u9Ux29MSXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa2a27151", "sha": "b6fd1f41bceeaaf5b78667d3f8319f19da236478", "translated_description": "", "image_url": "https://img.youtube.com/vi/3u9Ux29MSXE/hqdefault.jpg", "youtube_id": "3u9Ux29MSXE", "content_kind": "Video", "readable_id": "pie-splitting"}], "twitter_url": "", "translated_description": "Let's complement and supplement our knowledge of angles with some new vocabulary. Onward!\n\nCommon Core Standards: 7.G.B.5", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's complement and supplement our knowledge of angles with some new vocabulary. Onward!\n\nCommon Core Standards: 7.G.B.5", "x_pos": 0.0, "node_slug": "cc-7th-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa432b846", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles", "slug": "cc-7th-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3e128044d5aa2d07ea56465b3c85c82f2a8599a1", "standalone_title": "Angles", "y_pos": 0.0, "current_revision_key": "3e128044d5aa2d07ea56465b3c85c82f2a8599a1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes", "translated_standalone_title": "Constructing and slicing geometric shapes", "translated_title": "Constructing and slicing geometric shapes", "gplus_url": "", "id": "xe4fb85cc", "old_key_name": null, "hide": false, "title": "Constructing and slicing geometric shapes", "child_data": [{"kind": "Video", "id": "x3961d04a"}, {"kind": "Video", "id": "xa363a49e"}, {"kind": "Exercise", "id": "x3fc00b25"}, {"kind": "Exercise", "id": "x94fc7c11"}, {"kind": "Video", "id": "x938fa80f"}, {"kind": "Exercise", "id": "x744a1e17"}], "children": [{"translated_youtube_id": "lohMwoq3WFA", "relative_url": "/video/constructing-right-isosceles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-right-isosceles", "duration": 86, "translated_title": "Constructing a right isosceles triangle", "translated_description_html": "", "id": "x3961d04a", "description_html": "", "title": "Constructing a right isosceles triangle", "progress_key": "vx3961d04a", "edit_slug": "edit/v/x3961d04a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-right-isosceles", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lohMwoq3WFA.mp4/lohMwoq3WFA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lohMwoq3WFA.mp4/lohMwoq3WFA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lohMwoq3WFA.m3u8/lohMwoq3WFA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lohMwoq3WFA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3961d04a", "sha": "a4125040505c1ebf5baacc120a6b59fcf6ef487b", "translated_description": "", "image_url": "https://img.youtube.com/vi/lohMwoq3WFA/hqdefault.jpg", "youtube_id": "lohMwoq3WFA", "content_kind": "Video", "readable_id": "constructing-right-isosceles"}, {"translated_youtube_id": "E78ji1uBtSA", "relative_url": "/video/constructing-triangles-with-constraints", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-triangles-with-constraints", "duration": 239, "translated_title": "Constructing triangles with constraints", "translated_description_html": "", "id": "xa363a49e", "description_html": "", "title": "Constructing triangles with constraints", "progress_key": "vxa363a49e", "edit_slug": "edit/v/xa363a49e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-triangles-with-constraints", "deleted": false, "backup_timestamp": "2013-10-28T04:06:06Z", "date_added": "2013-10-28T04:06:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E78ji1uBtSA.mp4/E78ji1uBtSA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E78ji1uBtSA.mp4/E78ji1uBtSA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E78ji1uBtSA.m3u8/E78ji1uBtSA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E78ji1uBtSA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa363a49e", "sha": "c32b75fb797c436e8796cd70c7c9baac8bfc3ae3", "translated_description": "", "image_url": "https://img.youtube.com/vi/E78ji1uBtSA/hqdefault.jpg", "youtube_id": "E78ji1uBtSA", "content_kind": "Video", "readable_id": "constructing-triangles-with-constraints"}, {"translated_youtube_id": "hoa1RBk4dTo", "relative_url": "/video/vertical-slice-of-rectangular-pyramid", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vertical-slice-of-rectangular-pyramid", "duration": 210, "translated_title": "Vertical slice of rectangular pyramid", "translated_description_html": "", "id": "x938fa80f", "description_html": "", "title": "Vertical slice of rectangular pyramid", "progress_key": "vx938fa80f", "edit_slug": "edit/v/x938fa80f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vertical-slice-of-rectangular-pyramid", "deleted": false, "backup_timestamp": "2013-10-28T04:06:06Z", "date_added": "2013-10-28T04:06:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hoa1RBk4dTo.mp4/hoa1RBk4dTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hoa1RBk4dTo.mp4/hoa1RBk4dTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hoa1RBk4dTo.m3u8/hoa1RBk4dTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hoa1RBk4dTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx938fa80f", "sha": "bd8ac9a708f32531ef2164396c2d734d4bfb3b0c", "translated_description": "", "image_url": "https://img.youtube.com/vi/hoa1RBk4dTo/hqdefault.jpg", "youtube_id": "hoa1RBk4dTo", "content_kind": "Video", "readable_id": "vertical-slice-of-rectangular-pyramid"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-constructing-slicing-geometric-shapes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T01:19:53Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe4fb85cc", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes", "slug": "cc-7th-constructing-slicing-geometric-shapes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8912f7a7ae0292a778629b8a34f805efa1ff9e1c", "standalone_title": "Constructing and slicing geometric shapes", "y_pos": 0.0, "current_revision_key": "8912f7a7ae0292a778629b8a34f805efa1ff9e1c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-geometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1a4d524", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-geometry", "extended_slug": "math/cc-seventh-grade-math/cc-7th-geometry", "slug": "cc-7th-geometry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4b273311e848ba69514215375d4134bd37af5af3", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "4b273311e848ba69514215375d4134bd37af5af3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics", "translated_standalone_title": "Statistics and probability", "translated_title": "Statistics and probability", "gplus_url": "", "id": "x657459cb", "old_key_name": null, "hide": false, "title": "Statistics and probability", "child_data": [{"kind": "Topic", "id": "x3ba8e856"}, {"kind": "Topic", "id": "xe5dc584c"}, {"kind": "Topic", "id": "x955c32dc"}, {"kind": "Topic", "id": "x4b55a424"}, {"kind": "Topic", "id": "x71f7e50c"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-central-tendency", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-central-tendency", "translated_standalone_title": "Measures of central tendency", "translated_title": "Measures of central tendency", "gplus_url": "", "id": "x3ba8e856", "old_key_name": null, "hide": false, "title": "Measures of central tendency", "child_data": [{"kind": "Video", "id": 1152738250}, {"kind": "Video", "id": 380854779}, {"kind": "Exercise", "id": 5252991}, {"kind": "Video", "id": 1254186879}, {"kind": "Exercise", "id": 366693151}, {"kind": "Exercise", "id": 2017}], "children": [{"translated_youtube_id": "h8EYEJ32oQ8", "relative_url": "/video/statistics-intro--mean--median-and-mode", "has_questions": false, "keywords": "mean, median, mode", "ka_url": "http://www.khanacademy.org/video/statistics-intro--mean--median-and-mode", "duration": 534, "translated_title": "Statistics intro: Mean, median and mode", "translated_description_html": "Using the mean, median and mode to try to represent data", "id": "1152738250", "description_html": "Using the mean, median and mode to try to represent data", "title": "Statistics intro: Mean, median and mode", "progress_key": "v1152738250", "edit_slug": "edit/v/1152738250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the mean, median and mode to try to represent data", "extra_properties": null, "node_slug": "v/statistics-intro--mean--median-and-mode", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-16T15:16:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.m3u8/h8EYEJ32oQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h8EYEJ32oQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1152738250", "sha": "25692621c79e03cb51a7ee96784a6b01e970f976", "translated_description": "Using the mean, median and mode to try to represent data", "image_url": "https://img.youtube.com/vi/h8EYEJ32oQ8/hqdefault.jpg", "youtube_id": "h8EYEJ32oQ8", "content_kind": "Video", "readable_id": "statistics-intro--mean--median-and-mode"}, {"translated_youtube_id": "k3aKKasOmIw", "relative_url": "/video/mean-median-and-mode", "has_questions": false, "keywords": "u08_l2_t1_we1, Mean, Median, and, Mode", "ka_url": "http://www.khanacademy.org/video/mean-median-and-mode", "duration": 235, "translated_title": "Example: Finding mean, median and mode", "translated_description_html": "Mean Median and Mode", "id": "380854779", "description_html": "Mean Median and Mode", "title": "Example: Finding mean, median and mode", "progress_key": "v380854779", "edit_slug": "edit/v/380854779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mean Median and Mode", "extra_properties": null, "node_slug": "v/mean-median-and-mode", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.m3u8/k3aKKasOmIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3aKKasOmIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854779", "sha": "05d4aebed8684e6a2a74dd3e6ba58999122cc778", "translated_description": "Mean Median and Mode", "image_url": "https://img.youtube.com/vi/k3aKKasOmIw/hqdefault.jpg", "youtube_id": "k3aKKasOmIw", "content_kind": "Video", "readable_id": "mean-median-and-mode"}, {"translated_youtube_id": "n6xCyzOP900", "relative_url": "/video/exploring-mean-and-median-module", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/exploring-mean-and-median-module", "duration": 326, "translated_title": "Exploring mean and median module", "translated_description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "id": "1254186879", "description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "title": "Exploring mean and median module", "progress_key": "v1254186879", "edit_slug": "edit/v/1254186879", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "extra_properties": null, "node_slug": "v/exploring-mean-and-median-module", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T01:52:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.m3u8/n6xCyzOP900.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n6xCyzOP900&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254186879", "sha": "02a6ddf225eba922402581e03d43e8864616f6fa", "translated_description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "image_url": "https://img.youtube.com/vi/n6xCyzOP900/hqdefault.jpg", "youtube_id": "n6xCyzOP900", "content_kind": "Video", "readable_id": "exploring-mean-and-median-module"}], "twitter_url": "", "translated_description": "Statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. The fun must not stop!\n\t\nCommon Core Standard: 7.SP.A.1, 7.SP.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. The fun must not stop!\n\t\nCommon Core Standard: 7.SP.A.1, 7.SP.A.2", "x_pos": 0.0, "node_slug": "cc-7th-central-tendency", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ba8e856", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-central-tendency", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-central-tendency", "slug": "cc-7th-central-tendency", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4f3a3cd900a973035de65be9874ca1188b89c01a", "standalone_title": "Measures of central tendency", "y_pos": 0.0, "current_revision_key": "4f3a3cd900a973035de65be9874ca1188b89c01a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling", "translated_standalone_title": "Comparing and sampling populations", "translated_title": "Comparing and sampling populations", "gplus_url": "", "id": "xe5dc584c", "old_key_name": null, "hide": false, "title": "Comparing and sampling populations", "child_data": [{"kind": "Video", "id": 26173}, {"kind": "Video", "id": "x6db9c771"}, {"kind": "Exercise", "id": "x18a99f47"}, {"kind": "Exercise", "id": "xf0252a14"}, {"kind": "Video", "id": "x99de5c58"}, {"kind": "Video", "id": "xba691b00"}, {"kind": "Exercise", "id": "x261dfdd0"}], "children": [{"translated_youtube_id": "k5EbijWu-Ss", "relative_url": "/video/statistics--sample-vs--population-mean", "has_questions": false, "keywords": "statistics, sample, population, average, mean, parameter, statistic, CC_6_SP_3, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/statistics--sample-vs--population-mean", "duration": 603, "translated_title": "Sample mean versus population mean", "translated_description_html": "

The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.<\/p>", "id": "26173", "description_html": "

The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.<\/p>", "title": "Sample mean versus population mean", "progress_key": "v26173", "edit_slug": "edit/v/26173", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.", "extra_properties": {}, "node_slug": "v/statistics--sample-vs--population-mean", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.m3u8/k5EbijWu-Ss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k5EbijWu-Ss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26173", "sha": "712c85d9ba4c39fa339dbe2b5dce6d4c3cd1c405", "translated_description": "The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.", "image_url": "https://img.youtube.com/vi/k5EbijWu-Ss/hqdefault.jpg", "youtube_id": "k5EbijWu-Ss", "content_kind": "Video", "readable_id": "statistics--sample-vs--population-mean"}, {"translated_youtube_id": "aKAw-DyZa6g", "relative_url": "/video/reasonable-samples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reasonable-samples", "duration": 257, "translated_title": "Reasonable samples", "translated_description_html": "", "id": "x6db9c771", "description_html": "", "title": "Reasonable samples", "progress_key": "vx6db9c771", "edit_slug": "edit/v/x6db9c771", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/reasonable-samples", "deleted": false, "backup_timestamp": "2013-11-26T17:20:35Z", "date_added": "2013-11-26T17:20:35Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aKAw-DyZa6g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6db9c771", "sha": "fa3eb984c1720aca999d1a01bc1b6aa377315bb3", "translated_description": "", "image_url": "https://img.youtube.com/vi/aKAw-DyZa6g/hqdefault.jpg", "youtube_id": "aKAw-DyZa6g", "content_kind": "Video", "readable_id": "reasonable-samples"}, {"translated_youtube_id": "yh8tg0VEYNk", "relative_url": "/video/comparing-throws", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-throws", "duration": 346, "translated_title": "Comparing throws", "translated_description_html": "", "id": "x99de5c58", "description_html": "", "title": "Comparing throws", "progress_key": "vx99de5c58", "edit_slug": "edit/v/x99de5c58", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-throws", "deleted": false, "backup_timestamp": "2013-11-26T17:20:35Z", "date_added": "2013-11-26T17:20:35Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yh8tg0VEYNk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx99de5c58", "sha": "dcd6498961f494ab84d1d2876ecd37dad1a191b1", "translated_description": "", "image_url": "https://img.youtube.com/vi/yh8tg0VEYNk/hqdefault.jpg", "youtube_id": "yh8tg0VEYNk", "content_kind": "Video", "readable_id": "comparing-throws"}, {"translated_youtube_id": "KXDOOmquZag", "relative_url": "/video/comparing-swim-times-at-the-olympics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-swim-times-at-the-olympics", "duration": 240, "translated_title": "Comparing swim times at the Olympics", "translated_description_html": "", "id": "xba691b00", "description_html": "", "title": "Comparing swim times at the Olympics", "progress_key": "vxba691b00", "edit_slug": "edit/v/xba691b00", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-swim-times-at-the-olympics", "deleted": false, "backup_timestamp": "2013-11-26T17:20:35Z", "date_added": "2013-11-26T17:20:35Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KXDOOmquZag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxba691b00", "sha": "a6f67e918f65367de29d43f84eb7e61a03580f31", "translated_description": "", "image_url": "https://img.youtube.com/vi/KXDOOmquZag/hqdefault.jpg", "youtube_id": "KXDOOmquZag", "content_kind": "Video", "readable_id": "comparing-swim-times-at-the-olympics"}], "twitter_url": "", "translated_description": "When we are trying to make a judgement about a population, it is often impractical (or impossible) to observe every member of the population. For example, imaging trying to survey all 300+ million Americans to understand the likely outcome of the next presidential election! Because of this, much of statistics is making estimates about a population based on a random sample. This tutorial introduces you to the idea of what makes a good random sample. I'm sure all of you would enjoy it (but I haven't had the time to ask all of you).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "When we are trying to make a judgement about a population, it is often impractical (or impossible) to observe every member of the population. For example, imaging trying to survey all 300+ million Americans to understand the likely outcome of the next presidential election! Because of this, much of statistics is making estimates about a population based on a random sample. This tutorial introduces you to the idea of what makes a good random sample. I'm sure all of you would enjoy it (but I haven't had the time to ask all of you).", "x_pos": 0.0, "node_slug": "cc-7th-population-sampling", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T05:54:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe5dc584c", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling", "slug": "cc-7th-population-sampling", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "59ea77cb3b9c949fcc963c278ee22da95adbebd3", "standalone_title": "Comparing and sampling populations", "y_pos": 0.0, "current_revision_key": "59ea77cb3b9c949fcc963c278ee22da95adbebd3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob", "translated_standalone_title": "Basic probability", "translated_title": "Basic probability", "gplus_url": "", "id": "x955c32dc", "old_key_name": null, "hide": false, "title": "Basic probability", "child_data": [{"kind": "Video", "id": 185786265}, {"kind": "Video", "id": "x15ad3f2f"}, {"kind": "Video", "id": "xcdd1300d"}, {"kind": "Exercise", "id": "x6e17e818"}, {"kind": "Video", "id": "x523e34d6"}, {"kind": "Exercise", "id": 1337007129}, {"kind": "Video", "id": 380860447}, {"kind": "Video", "id": 60107867}, {"kind": "Video", "id": 27091}, {"kind": "Exercise", "id": 13179429}], "children": [{"translated_youtube_id": "uzkc-qNVoOk", "relative_url": "/video/basic-probability", "has_questions": false, "keywords": "math, chance, mutually, exclusive, events, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8", "ka_url": "http://www.khanacademy.org/video/basic-probability", "duration": 498, "translated_title": "Basic probability", "translated_description_html": "An introduction to probability", "id": "185786265", "description_html": "An introduction to probability", "title": "Basic probability", "progress_key": "v185786265", "edit_slug": "edit/v/185786265", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to probability", "extra_properties": null, "node_slug": "v/basic-probability", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-03T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.m3u8/uzkc-qNVoOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzkc-qNVoOk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185786265", "sha": "ad26e4eded21da3e805395a59308221cc806ca91", "translated_description": "An introduction to probability", "image_url": "https://img.youtube.com/vi/uzkc-qNVoOk/hqdefault.jpg", "youtube_id": "uzkc-qNVoOk", "content_kind": "Video", "readable_id": "basic-probability"}, {"translated_youtube_id": "WqnXhCEgW20", "relative_url": "/video/understanding-prob-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-prob-example-1", "duration": 139, "translated_title": "Winning the lottery versus earning billions", "translated_description_html": "", "id": "x15ad3f2f", "description_html": "", "title": "Winning the lottery versus earning billions", "progress_key": "vx15ad3f2f", "edit_slug": "edit/v/x15ad3f2f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-prob-example-1", "deleted": false, "backup_timestamp": "2013-10-23T14:26:47Z", "date_added": "2013-10-23T14:26:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WqnXhCEgW20.mp4/WqnXhCEgW20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WqnXhCEgW20.mp4/WqnXhCEgW20.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WqnXhCEgW20.m3u8/WqnXhCEgW20.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WqnXhCEgW20&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx15ad3f2f", "sha": "6d446b0d714bb0e45eaf87808c4c554a1def0993", "translated_description": "", "image_url": "https://img.youtube.com/vi/WqnXhCEgW20/hqdefault.jpg", "youtube_id": "WqnXhCEgW20", "content_kind": "Video", "readable_id": "understanding-prob-example-1"}, {"translated_youtube_id": "4pTAEIlZjRM", "relative_url": "/video/understanding-probability-example2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-probability-example2", "duration": 279, "translated_title": "Making sense of probabilities", "translated_description_html": "", "id": "xcdd1300d", "description_html": "", "title": "Making sense of probabilities", "progress_key": "vxcdd1300d", "edit_slug": "edit/v/xcdd1300d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-probability-example2", "deleted": false, "backup_timestamp": "2013-10-23T14:26:47Z", "date_added": "2013-10-23T14:26:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4pTAEIlZjRM.mp4/4pTAEIlZjRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4pTAEIlZjRM.mp4/4pTAEIlZjRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4pTAEIlZjRM.m3u8/4pTAEIlZjRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4pTAEIlZjRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcdd1300d", "sha": "713cd2479a4712c03c9a7d58e0f0fef8aa16c673", "translated_description": "", "image_url": "https://img.youtube.com/vi/4pTAEIlZjRM/hqdefault.jpg", "youtube_id": "4pTAEIlZjRM", "content_kind": "Video", "readable_id": "understanding-probability-example2"}, {"translated_youtube_id": "FICRd7Lp67s", "relative_url": "/video/probability-space-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/probability-space-exercise-example", "duration": 259, "translated_title": "Probability space exercise example", "translated_description_html": "", "id": "x523e34d6", "description_html": "", "title": "Probability space exercise example", "progress_key": "vx523e34d6", "edit_slug": "edit/v/x523e34d6", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/probability-space-exercise-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-07T19:56:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.mp4/FICRd7Lp67s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.mp4/FICRd7Lp67s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.m3u8/FICRd7Lp67s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FICRd7Lp67s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx523e34d6", "sha": "2a6fe51e843b4c804cb56266e080258a639928a3", "translated_description": "", "image_url": "https://img.youtube.com/vi/FICRd7Lp67s/hqdefault.jpg", "youtube_id": "FICRd7Lp67s", "content_kind": "Video", "readable_id": "probability-space-exercise-example"}, {"translated_youtube_id": "yUaI0JriZtY", "relative_url": "/video/simple-probability", "has_questions": false, "keywords": "u08_l4_t1_we1, Simple, Probability", "ka_url": "http://www.khanacademy.org/video/simple-probability", "duration": 176, "translated_title": "Example: Marbles from a bag", "translated_description_html": "The probability of picking a yellow marble from a bag.", "id": "380860447", "description_html": "The probability of picking a yellow marble from a bag.", "title": "Example: Marbles from a bag", "progress_key": "v380860447", "edit_slug": "edit/v/380860447", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability of picking a yellow marble from a bag.", "extra_properties": null, "node_slug": "v/simple-probability", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.m3u8/yUaI0JriZtY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUaI0JriZtY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860447", "sha": "7d574aab02614718a98f159a8280ac9556241544", "translated_description": "The probability of picking a yellow marble from a bag.", "image_url": "https://img.youtube.com/vi/yUaI0JriZtY/hqdefault.jpg", "youtube_id": "yUaI0JriZtY", "content_kind": "Video", "readable_id": "simple-probability"}, {"translated_youtube_id": "mLE-SlOZToc", "relative_url": "/video/probability-1-module-examples", "has_questions": false, "keywords": "probability, CC_7_SP_6, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/probability-1-module-examples", "duration": 596, "translated_title": "Example: Picking a non-blue marble", "translated_description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "id": "60107867", "description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "title": "Example: Picking a non-blue marble", "progress_key": "v60107867", "edit_slug": "edit/v/60107867", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "extra_properties": null, "node_slug": "v/probability-1-module-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-14T00:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.m3u8/mLE-SlOZToc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mLE-SlOZToc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60107867", "sha": "fa67721adfd23b27cc290d3de8576f13a6eb793d", "translated_description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "image_url": "https://img.youtube.com/vi/mLE-SlOZToc/hqdefault.jpg", "youtube_id": "mLE-SlOZToc", "content_kind": "Video", "readable_id": "probability-1-module-examples"}, {"translated_youtube_id": "cdRLBOnLTDk", "relative_url": "/video/events-and-outcomes-1", "has_questions": false, "keywords": "U12_L2_T1_we1, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-1", "duration": 131, "translated_title": "Example: Picking a yellow marble", "translated_description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "id": "27091", "description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "title": "Example: Picking a yellow marble", "progress_key": "v27091", "edit_slug": "edit/v/27091", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "extra_properties": null, "node_slug": "v/events-and-outcomes-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.m3u8/cdRLBOnLTDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cdRLBOnLTDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27091", "sha": "8fc2322ae8de2ba61c46b4d333d71f209f96912d", "translated_description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "image_url": "https://img.youtube.com/vi/cdRLBOnLTDk/hqdefault.jpg", "youtube_id": "cdRLBOnLTDk", "content_kind": "Video", "readable_id": "events-and-outcomes-1"}], "twitter_url": "", "translated_description": "Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the \"chances\" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.\n\nCommon Core standards: 7.SP.C.5, 7.SP.C.7a, ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the \"chances\" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.\n\nCommon Core standards: 7.SP.C.5, 7.SP.C.7a, ", "x_pos": 0.0, "node_slug": "cc-7th-basic-prob", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax955c32dc", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob", "slug": "cc-7th-basic-prob", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fb557254597a74a8e7eb37d45bab08f1fbee1adb", "standalone_title": "Basic probability", "y_pos": 0.0, "current_revision_key": "fb557254597a74a8e7eb37d45bab08f1fbee1adb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-estimating-probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-estimating-probability", "translated_standalone_title": "Estimating probability", "translated_title": "Estimating probability", "gplus_url": "", "id": "x4b55a424", "old_key_name": null, "hide": false, "title": "Estimating probability", "child_data": [{"kind": "Video", "id": "x64519b08"}, {"kind": "Exercise", "id": "xfe118dde"}, {"kind": "Video", "id": "x34d9e64a"}, {"kind": "Exercise", "id": "x718b4591"}], "children": [{"translated_youtube_id": "L1_OqQmMEMo", "relative_url": "/video/probability-of-rolling-7", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/probability-of-rolling-7", "duration": 58, "translated_title": "Estimating the probability of rolling 7", "translated_description_html": "", "id": "x64519b08", "description_html": "", "title": "Estimating the probability of rolling 7", "progress_key": "vx64519b08", "edit_slug": "edit/v/x64519b08", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/probability-of-rolling-7", "deleted": false, "backup_timestamp": "2013-10-28T05:54:14Z", "date_added": "2013-10-28T05:54:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L1_OqQmMEMo.mp4/L1_OqQmMEMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L1_OqQmMEMo.mp4/L1_OqQmMEMo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L1_OqQmMEMo.m3u8/L1_OqQmMEMo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L1_OqQmMEMo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx64519b08", "sha": "0e0ef11b0bc9fea16201f86f62400438fb41d148", "translated_description": "", "image_url": "https://img.youtube.com/vi/L1_OqQmMEMo/hqdefault.jpg", "youtube_id": "L1_OqQmMEMo", "content_kind": "Video", "readable_id": "probability-of-rolling-7"}, {"translated_youtube_id": "IabpghpNVqI", "relative_url": "/video/prob-models-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/prob-models-examples", "duration": 94, "translated_title": "Probability models examples", "translated_description_html": "", "id": "x34d9e64a", "description_html": "", "title": "Probability models examples", "progress_key": "vx34d9e64a", "edit_slug": "edit/v/x34d9e64a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/prob-models-examples", "deleted": false, "backup_timestamp": "2013-10-28T07:56:55Z", "date_added": "2013-10-28T07:56:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IabpghpNVqI.mp4/IabpghpNVqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IabpghpNVqI.mp4/IabpghpNVqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IabpghpNVqI.m3u8/IabpghpNVqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IabpghpNVqI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx34d9e64a", "sha": "2101d78b6933ea641f0c60d01b0544d243d51ad1", "translated_description": "", "image_url": "https://img.youtube.com/vi/IabpghpNVqI/hqdefault.jpg", "youtube_id": "IabpghpNVqI", "content_kind": "Video", "readable_id": "prob-models-examples"}], "twitter_url": "", "translated_description": "If you know all of the possible outcomes of a trial (and the associated probabilities of each of them), you can find the exact probability. In many situations, however, we don't know this and instead, we estimate the probability based on history of events. That's what we're going to do in this tutorial.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you know all of the possible outcomes of a trial (and the associated probabilities of each of them), you can find the exact probability. In many situations, however, we don't know this and instead, we estimate the probability based on history of events. That's what we're going to do in this tutorial.", "x_pos": 0.0, "node_slug": "cc-7th-estimating-probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T07:56:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4b55a424", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-estimating-probability", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-estimating-probability", "slug": "cc-7th-estimating-probability", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d50b703c85e4476463cbbfa98d52f6a8ddced99a", "standalone_title": "Estimating probability", "y_pos": 0.0, "current_revision_key": "d50b703c85e4476463cbbfa98d52f6a8ddced99a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events", "translated_standalone_title": "Compound events", "translated_title": "Compound events", "gplus_url": "", "id": "x71f7e50c", "old_key_name": null, "hide": false, "title": "Compound events", "child_data": [{"kind": "Video", "id": 191769945}, {"kind": "Video", "id": "x31590e02"}, {"kind": "Video", "id": "x402a9e8e"}, {"kind": "Video", "id": "x757221ef"}, {"kind": "Exercise", "id": "x69adca33"}, {"kind": "Video", "id": 191769946}, {"kind": "Video", "id": 27092}, {"kind": "Video", "id": 753767269}, {"kind": "Video", "id": 1022209423}, {"kind": "Video", "id": 191769947}, {"kind": "Video", "id": 27095}, {"kind": "Video", "id": 27096}, {"kind": "Exercise", "id": 757444186}, {"kind": "Video", "id": 545983015}, {"kind": "Exercise", "id": "x6ec3cabf"}], "children": [{"translated_youtube_id": "xSc4oLA9e8o", "relative_url": "/video/compound-probability-of-independent-events", "has_questions": false, "keywords": "probability, statistics, coin, fair", "ka_url": "http://www.khanacademy.org/video/compound-probability-of-independent-events", "duration": 360, "translated_title": "Compound probability of independent events", "translated_description_html": "Probability of particular sequences of flips", "id": "191769945", "description_html": "Probability of particular sequences of flips", "title": "Compound probability of independent events", "progress_key": "v191769945", "edit_slug": "edit/v/191769945", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of particular sequences of flips", "extra_properties": null, "node_slug": "v/compound-probability-of-independent-events", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.m3u8/xSc4oLA9e8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xSc4oLA9e8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769945", "sha": "7f64a31bdfc0cbc1147bd8ff5fa8c95726d26c14", "translated_description": "Probability of particular sequences of flips", "image_url": "https://img.youtube.com/vi/xSc4oLA9e8o/hqdefault.jpg", "youtube_id": "xSc4oLA9e8o", "content_kind": "Video", "readable_id": "compound-probability-of-independent-events"}, {"translated_youtube_id": "Zxvc6iPKdec", "relative_url": "/video/tree-diagram-to-count-outcomes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tree-diagram-to-count-outcomes", "duration": 271, "translated_title": "Tree diagram to count outcomes", "translated_description_html": "", "id": "x31590e02", "description_html": "", "title": "Tree diagram to count outcomes", "progress_key": "vx31590e02", "edit_slug": "edit/v/x31590e02", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/tree-diagram-to-count-outcomes", "deleted": false, "backup_timestamp": "2013-10-28T04:43:12Z", "date_added": "2013-10-28T04:43:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zxvc6iPKdec.mp4/Zxvc6iPKdec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zxvc6iPKdec.mp4/Zxvc6iPKdec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zxvc6iPKdec.m3u8/Zxvc6iPKdec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zxvc6iPKdec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31590e02", "sha": "57cf36b6f05713dd78b809e2adcac7623d7d9564", "translated_description": "", "image_url": "https://img.youtube.com/vi/Zxvc6iPKdec/hqdefault.jpg", "youtube_id": "Zxvc6iPKdec", "content_kind": "Video", "readable_id": "tree-diagram-to-count-outcomes"}, {"translated_youtube_id": "wyC56d74CXs", "relative_url": "/video/water-ballon-outcomes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/water-ballon-outcomes", "duration": 109, "translated_title": "Water ballon outcomes", "translated_description_html": "", "id": "x402a9e8e", "description_html": "", "title": "Water ballon outcomes", "progress_key": "vx402a9e8e", "edit_slug": "edit/v/x402a9e8e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/water-ballon-outcomes", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wyC56d74CXs.mp4/wyC56d74CXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wyC56d74CXs.mp4/wyC56d74CXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wyC56d74CXs.m3u8/wyC56d74CXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wyC56d74CXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx402a9e8e", "sha": "1ca6a722c31d9f1a97571c4400bc96736884c940", "translated_description": "", "image_url": "https://img.youtube.com/vi/wyC56d74CXs/hqdefault.jpg", "youtube_id": "wyC56d74CXs", "content_kind": "Video", "readable_id": "water-ballon-outcomes"}, {"translated_youtube_id": "iRBL5f9r954", "relative_url": "/video/fantasy-game-outcomes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fantasy-game-outcomes", "duration": 181, "translated_title": "Fantasy game outcomes", "translated_description_html": "", "id": "x757221ef", "description_html": "", "title": "Fantasy game outcomes", "progress_key": "vx757221ef", "edit_slug": "edit/v/x757221ef", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fantasy-game-outcomes", "deleted": false, "backup_timestamp": "2013-10-28T04:06:06Z", "date_added": "2013-10-28T04:06:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iRBL5f9r954.mp4/iRBL5f9r954.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iRBL5f9r954.mp4/iRBL5f9r954.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iRBL5f9r954.m3u8/iRBL5f9r954.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iRBL5f9r954&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx757221ef", "sha": "2116767d5b676c8344764d3f0a1999b4020b5660", "translated_description": "", "image_url": "https://img.youtube.com/vi/iRBL5f9r954/hqdefault.jpg", "youtube_id": "iRBL5f9r954", "content_kind": "Video", "readable_id": "fantasy-game-outcomes"}, {"translated_youtube_id": "mkyZ45KQYi4", "relative_url": "/video/getting-at-least-one-heads", "has_questions": false, "keywords": "probability, statistics", "ka_url": "http://www.khanacademy.org/video/getting-at-least-one-heads", "duration": 560, "translated_title": "Getting at least one head", "translated_description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "id": "191769946", "description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "title": "Getting at least one head", "progress_key": "v191769946", "edit_slug": "edit/v/191769946", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting at least one heads in multiple flips of a fair coin", "extra_properties": null, "node_slug": "v/getting-at-least-one-heads", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.m3u8/mkyZ45KQYi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mkyZ45KQYi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769946", "sha": "c689de107e1c2aea19420a840fa3543b6d2c0296", "translated_description": "Probability of getting at least one heads in multiple flips of a fair coin", "image_url": "https://img.youtube.com/vi/mkyZ45KQYi4/hqdefault.jpg", "youtube_id": "mkyZ45KQYi4", "content_kind": "Video", "readable_id": "getting-at-least-one-heads"}, {"translated_youtube_id": "O4Qnsubo2tg", "relative_url": "/video/events-and-outcomes-2", "has_questions": false, "keywords": "U12_L2_T1_we2, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-2", "duration": 315, "translated_title": "Example: Probability of rolling doubles", "translated_description_html": "Thinking about the probability of rolling doubles on a pair of dice", "id": "27092", "description_html": "Thinking about the probability of rolling doubles on a pair of dice", "title": "Example: Probability of rolling doubles", "progress_key": "v27092", "edit_slug": "edit/v/27092", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the probability of rolling doubles on a pair of dice", "extra_properties": null, "node_slug": "v/events-and-outcomes-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.m3u8/O4Qnsubo2tg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O4Qnsubo2tg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27092", "sha": "1d73ac0d07e2c8d5acb9bbabeb713a77b894a4e7", "translated_description": "Thinking about the probability of rolling doubles on a pair of dice", "image_url": "https://img.youtube.com/vi/O4Qnsubo2tg/hqdefault.jpg", "youtube_id": "O4Qnsubo2tg", "content_kind": "Video", "readable_id": "events-and-outcomes-2"}, {"translated_youtube_id": "iMqCSgqzmiQ", "relative_url": "/video/lebron-asks-about-the-chances-of-making-10-free-throws", "has_questions": false, "keywords": "marquee, lebron, james, probability, miami, heat, khan, academy, marquee", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-the-chances-of-making-10-free-throws", "duration": 425, "translated_title": "LeBron asks: What are the chances of making 10 free throws in a row?", "translated_description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "id": "753767269", "description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "title": "LeBron asks: What are the chances of making 10 free throws in a row?", "progress_key": "v753767269", "edit_slug": "edit/v/753767269", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "extra_properties": null, "node_slug": "v/lebron-asks-about-the-chances-of-making-10-free-throws", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-04-30T15:16:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.m3u8/iMqCSgqzmiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iMqCSgqzmiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v753767269", "sha": "9c4cadca1ed9299e2cbc8d7d232c21433764430f", "translated_description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "image_url": "https://img.youtube.com/vi/iMqCSgqzmiQ/hqdefault.jpg", "youtube_id": "iMqCSgqzmiQ", "content_kind": "Video", "readable_id": "lebron-asks-about-the-chances-of-making-10-free-throws"}, {"translated_youtube_id": "PddbEVNMgTY", "relative_url": "/video/lebron-asks-about-free-throws-versus-three-pointers", "has_questions": false, "keywords": "probability, math, basketball", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-free-throws-versus-three-pointers", "duration": 347, "translated_title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "translated_description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "id": "1022209423", "description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "progress_key": "v1022209423", "edit_slug": "edit/v/1022209423", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "extra_properties": null, "node_slug": "v/lebron-asks-about-free-throws-versus-three-pointers", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-09-05T05:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.m3u8/PddbEVNMgTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PddbEVNMgTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022209423", "sha": "bcb9bc80fdd090bb5dbe8c01b7c85a674f1497fa", "translated_description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "image_url": "https://img.youtube.com/vi/PddbEVNMgTY/hqdefault.jpg", "youtube_id": "PddbEVNMgTY", "content_kind": "Video", "readable_id": "lebron-asks-about-free-throws-versus-three-pointers"}, {"translated_youtube_id": "RI874OSJp1U", "relative_url": "/video/frequency-probability-and-unfair-coins", "has_questions": false, "keywords": "probability, statistics, chance", "ka_url": "http://www.khanacademy.org/video/frequency-probability-and-unfair-coins", "duration": 538, "translated_title": "Frequency probability and unfair coins", "translated_description_html": "A different way of thinking about probability when we don't have equally likely events", "id": "191769947", "description_html": "A different way of thinking about probability when we don't have equally likely events", "title": "Frequency probability and unfair coins", "progress_key": "v191769947", "edit_slug": "edit/v/191769947", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A different way of thinking about probability when we don't have equally likely events", "extra_properties": null, "node_slug": "v/frequency-probability-and-unfair-coins", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.m3u8/RI874OSJp1U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RI874OSJp1U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769947", "sha": "da2068594ee7efef68422442b0cb0eab6d601a7d", "translated_description": "A different way of thinking about probability when we don't have equally likely events", "image_url": "https://img.youtube.com/vi/RI874OSJp1U/hqdefault.jpg", "youtube_id": "RI874OSJp1U", "content_kind": "Video", "readable_id": "frequency-probability-and-unfair-coins"}, {"translated_youtube_id": "VWAfEbgf1Po", "relative_url": "/video/independent-events-2", "has_questions": false, "keywords": "U12_L2_T2_we2, Independent, Events, CC_7_SP_8_b, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/independent-events-2", "duration": 284, "translated_title": "Example: Getting two questions right on an exam", "translated_description_html": "Probability of two independent events occuring.", "id": "27095", "description_html": "Probability of two independent events occuring.", "title": "Example: Getting two questions right on an exam", "progress_key": "v27095", "edit_slug": "edit/v/27095", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of two independent events occuring.", "extra_properties": null, "node_slug": "v/independent-events-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.m3u8/VWAfEbgf1Po.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VWAfEbgf1Po&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27095", "sha": "d6348864846efae08355622eb2e85b34705a3cd8", "translated_description": "Probability of two independent events occuring.", "image_url": "https://img.youtube.com/vi/VWAfEbgf1Po/hqdefault.jpg", "youtube_id": "VWAfEbgf1Po", "content_kind": "Video", "readable_id": "independent-events-2"}, {"translated_youtube_id": "2MYA8Ba2PvM", "relative_url": "/video/independent-events-3", "has_questions": false, "keywords": "U12_L2_T2_we3, Independent, Events, CC_7_SP_6", "ka_url": "http://www.khanacademy.org/video/independent-events-3", "duration": 148, "translated_title": "Example: Rolling even three times", "translated_description_html": "Another example showing the probability of rolling an even number three times in a row.", "id": "27096", "description_html": "Another example showing the probability of rolling an even number three times in a row.", "title": "Example: Rolling even three times", "progress_key": "v27096", "edit_slug": "edit/v/27096", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example showing the probability of rolling an even number three times in a row.", "extra_properties": null, "node_slug": "v/independent-events-3", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.m3u8/2MYA8Ba2PvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2MYA8Ba2PvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27096", "sha": "3035ed1ec090fd1bd0e994a60b7fe9ad1e967857", "translated_description": "Another example showing the probability of rolling an even number three times in a row.", "image_url": "https://img.youtube.com/vi/2MYA8Ba2PvM/hqdefault.jpg", "youtube_id": "2MYA8Ba2PvM", "content_kind": "Video", "readable_id": "independent-events-3"}, {"translated_youtube_id": "vVXbgbMp0oY", "relative_url": "/video/frequency-stability", "has_questions": false, "keywords": "probability, statistics, frequency stability", "ka_url": "http://www.khanacademy.org/video/frequency-stability", "duration": 129, "translated_title": "Frequency stability", "translated_description_html": "What is the difference between a coin flip and a blind guess?", "id": "545983015", "description_html": "What is the difference between a coin flip and a blind guess?", "title": "Frequency stability", "progress_key": "v545983015", "edit_slug": "edit/v/545983015", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What is the difference between a coin flip and a blind guess?", "extra_properties": {"original_url": ""}, "node_slug": "v/frequency-stability", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-02-02T22:13:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.m3u8/vVXbgbMp0oY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vVXbgbMp0oY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v545983015", "sha": "024f0d7bf98f9f7397e5e0dfab682e5d387fc75c", "translated_description": "What is the difference between a coin flip and a blind guess?", "image_url": "https://img.youtube.com/vi/vVXbgbMp0oY/hqdefault.jpg", "youtube_id": "vVXbgbMp0oY", "content_kind": "Video", "readable_id": "frequency-stability"}], "twitter_url": "", "translated_description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).\n\nCommon Core Standards: 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).\n\nCommon Core Standards: 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b", "x_pos": 0.0, "node_slug": "cc-7th-compound-events", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax71f7e50c", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events", "slug": "cc-7th-compound-events", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "362adf5c4544a6f23cb966d45c06ed639a1fe9cd", "standalone_title": "Compound events", "y_pos": 0.0, "current_revision_key": "362adf5c4544a6f23cb966d45c06ed639a1fe9cd", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-7th-probability-statistics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax657459cb", "topic_page_url": "/math/cc-seventh-grade-math/cc-7th-probability-statistics", "extended_slug": "math/cc-seventh-grade-math/cc-7th-probability-statistics", "slug": "cc-7th-probability-statistics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c7f20053c7c2d271e6e48020ac01a1ba80613da1", "standalone_title": "Statistics and probability", "y_pos": 0.0, "current_revision_key": "c7f20053c7c2d271e6e48020ac01a1ba80613da1", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations.\n\n7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. \n\nOnward!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations.\n\n7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. \n\nOnward!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-seventh-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b17ba59", "topic_page_url": "/math/cc-seventh-grade-math", "extended_slug": "math/cc-seventh-grade-math", "slug": "cc-seventh-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "af8ebf7d10eedb757602a47473474f61fc514850", "standalone_title": "7th grade (U.S.)", "y_pos": 0.0, "current_revision_key": "af8ebf7d10eedb757602a47473474f61fc514850", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math", "translated_standalone_title": "8th grade (U.S.)", "translated_title": "8th grade (U.S.)", "gplus_url": "", "id": "x7c7044d7", "old_key_name": null, "hide": false, "title": "8th grade (U.S.)", "child_data": [{"kind": "Topic", "id": "x1afd9461"}, {"kind": "Topic", "id": "xdffae55c"}, {"kind": "Topic", "id": "xc44ef069"}, {"kind": "Topic", "id": "x71149dce"}, {"kind": "Topic", "id": "x7306f126"}, {"kind": "Topic", "id": "xe83906b3"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations", "translated_standalone_title": "Numbers and operations", "translated_title": "Numbers and operations", "gplus_url": "", "id": "x1afd9461", "old_key_name": null, "hide": false, "title": "Numbers and operations", "child_data": [{"kind": "Topic", "id": "x7554913e"}, {"kind": "Topic", "id": "x7ae2562a"}, {"kind": "Topic", "id": "x76bd40aa"}, {"kind": "Topic", "id": "x529c00e1"}, {"kind": "Topic", "id": "x1338e759"}, {"kind": "Topic", "id": "x97a97aee"}, {"kind": "Topic", "id": "xed1ca3ab"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers", "translated_standalone_title": "Rational and irrational numbers", "translated_title": "Rational and irrational numbers", "gplus_url": "", "id": "x7554913e", "old_key_name": null, "hide": false, "title": "Rational and irrational numbers", "child_data": [{"kind": "Video", "id": "x00ce2e4a"}, {"kind": "Exercise", "id": "x4eaeba29"}], "children": [{"translated_youtube_id": "d9pO2z2qvXU", "relative_url": "/video/recognizing-irrational-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-irrational-numbers", "duration": 138, "translated_title": "Recognizing irrational numbers", "translated_description_html": "", "id": "x00ce2e4a", "description_html": "", "title": "Recognizing irrational numbers", "progress_key": "vx00ce2e4a", "edit_slug": "edit/v/x00ce2e4a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/recognizing-irrational-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-12T18:37:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.mp4/d9pO2z2qvXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.mp4/d9pO2z2qvXU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.m3u8/d9pO2z2qvXU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d9pO2z2qvXU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx00ce2e4a", "sha": "eed43794da8b2a13cdd893f4b506dc5c419fbeac", "translated_description": "", "image_url": "https://img.youtube.com/vi/d9pO2z2qvXU/hqdefault.jpg", "youtube_id": "d9pO2z2qvXU", "content_kind": "Video", "readable_id": "recognizing-irrational-numbers"}], "twitter_url": "", "translated_description": "More numbers than you probably imagine can be represented as the ratio of two integers. We call these rational numbers. But there are also really amazing numbers that can't. As you can guess, we call them irrational numbers.\n\nCommon Core Standards: 8.NS.A.1, 8.NS.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "More numbers than you probably imagine can be represented as the ratio of two integers. We call these rational numbers. But there are also really amazing numbers that can't. As you can guess, we call them irrational numbers.\n\nCommon Core Standards: 8.NS.A.1, 8.NS.A.2", "x_pos": 0.0, "node_slug": "cc-8th-irrational-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7554913e", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers", "slug": "cc-8th-irrational-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6124268024c3312e8d0abadd9edc364faab99e14", "standalone_title": "Rational and irrational numbers", "y_pos": 0.0, "current_revision_key": "6124268024c3312e8d0abadd9edc364faab99e14", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents", "translated_standalone_title": "Positive and negative exponents", "translated_title": "Positive and negative exponents", "gplus_url": "", "id": "x7ae2562a", "old_key_name": null, "hide": false, "title": "Positive and negative exponents", "child_data": [{"kind": "Video", "id": "xfe1a8e1f"}, {"kind": "Video", "id": "x2bba124f"}, {"kind": "Video", "id": "xb66d1c1a"}, {"kind": "Video", "id": "x3603d5d1"}, {"kind": "Video", "id": "xc9cc5314"}, {"kind": "Exercise", "id": 3026}, {"kind": "Video", "id": "x9ecf1c5c"}, {"kind": "Video", "id": 25767}, {"kind": "Exercise", "id": 3027}], "children": [{"translated_youtube_id": "XZRQhkii0h0", "relative_url": "/video/introduction-to-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-exponents", "duration": 183, "translated_title": "Introduction to exponents", "translated_description_html": "", "id": "xfe1a8e1f", "description_html": "", "title": "Introduction to exponents", "progress_key": "vxfe1a8e1f", "edit_slug": "edit/v/xfe1a8e1f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-exponents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.m3u8/XZRQhkii0h0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XZRQhkii0h0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe1a8e1f", "sha": "23d5fb729c0c19ab5c67df358ea5ddf546169244", "translated_description": "", "image_url": "https://img.youtube.com/vi/XZRQhkii0h0/hqdefault.jpg", "youtube_id": "XZRQhkii0h0", "content_kind": "Video", "readable_id": "introduction-to-exponents"}, {"translated_youtube_id": "dAvosUEUH6I", "relative_url": "/video/raising-a-number-to-the-0th-and-1st-power", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/raising-a-number-to-the-0th-and-1st-power", "duration": 307, "translated_title": "Raising a number to the 0th and 1st power", "translated_description_html": "", "id": "x2bba124f", "description_html": "", "title": "Raising a number to the 0th and 1st power", "progress_key": "vx2bba124f", "edit_slug": "edit/v/x2bba124f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/raising-a-number-to-the-0th-and-1st-power", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:57:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.mp4/dAvosUEUH6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.mp4/dAvosUEUH6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.m3u8/dAvosUEUH6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dAvosUEUH6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2bba124f", "sha": "8f19c2d3fa580df91bd71200390d3a745e387fdd", "translated_description": "", "image_url": "https://img.youtube.com/vi/dAvosUEUH6I/hqdefault.jpg", "youtube_id": "dAvosUEUH6I", "content_kind": "Video", "readable_id": "raising-a-number-to-the-0th-and-1st-power"}, {"translated_youtube_id": "jYOfMszfzAQ", "relative_url": "/video/powers-of-1-and---1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-1-and---1", "duration": 368, "translated_title": "Powers of 1 and -1", "translated_description_html": "", "id": "xb66d1c1a", "description_html": "", "title": "Powers of 1 and -1", "progress_key": "vxb66d1c1a", "edit_slug": "edit/v/xb66d1c1a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-1-and---1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.mp4/jYOfMszfzAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.mp4/jYOfMszfzAQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.m3u8/jYOfMszfzAQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jYOfMszfzAQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb66d1c1a", "sha": "24e356fbd80b97d290485561668cb59d57c4ad30", "translated_description": "", "image_url": "https://img.youtube.com/vi/jYOfMszfzAQ/hqdefault.jpg", "youtube_id": "jYOfMszfzAQ", "content_kind": "Video", "readable_id": "powers-of-1-and---1"}, {"translated_youtube_id": "oEgeUk_Ix2c", "relative_url": "/video/powers-of-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-fractions", "duration": 107, "translated_title": "Powers of fractions", "translated_description_html": "", "id": "x3603d5d1", "description_html": "", "title": "Powers of fractions", "progress_key": "vx3603d5d1", "edit_slug": "edit/v/x3603d5d1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.mp4/oEgeUk_Ix2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.mp4/oEgeUk_Ix2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.m3u8/oEgeUk_Ix2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oEgeUk_Ix2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3603d5d1", "sha": "d470d37701a64aa0274e7072976c5f9836d8e988", "translated_description": "", "image_url": "https://img.youtube.com/vi/oEgeUk_Ix2c/hqdefault.jpg", "youtube_id": "oEgeUk_Ix2c", "content_kind": "Video", "readable_id": "powers-of-fractions"}, {"translated_youtube_id": "PwDnpb_ZJvc", "relative_url": "/video/powers-of-zero", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-zero", "duration": 255, "translated_title": "Powers of zero", "translated_description_html": "", "id": "xc9cc5314", "description_html": "", "title": "Powers of zero", "progress_key": "vxc9cc5314", "edit_slug": "edit/v/xc9cc5314", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-zero", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.mp4/PwDnpb_ZJvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.mp4/PwDnpb_ZJvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.m3u8/PwDnpb_ZJvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PwDnpb_ZJvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc9cc5314", "sha": "0dbc83bc13aba73ff1d9e39b0e456adcbfdee0d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/PwDnpb_ZJvc/hqdefault.jpg", "youtube_id": "PwDnpb_ZJvc", "content_kind": "Video", "readable_id": "powers-of-zero"}, {"translated_youtube_id": "JnpqlXN9Whw", "relative_url": "/video/negative-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-exponents", "duration": 434, "translated_title": "Negative exponents", "translated_description_html": "", "id": "x9ecf1c5c", "description_html": "", "title": "Negative exponents", "progress_key": "vx9ecf1c5c", "edit_slug": "edit/v/x9ecf1c5c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-exponents", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-02T21:34:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.mp4/JnpqlXN9Whw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.mp4/JnpqlXN9Whw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.m3u8/JnpqlXN9Whw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JnpqlXN9Whw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ecf1c5c", "sha": "e15f0a5fb0930baf090e3bdfcf191102a404bc6a", "translated_description": "", "image_url": "https://img.youtube.com/vi/JnpqlXN9Whw/hqdefault.jpg", "youtube_id": "JnpqlXN9Whw", "content_kind": "Video", "readable_id": "negative-exponents"}, {"translated_youtube_id": "Tqpcku0hrPU", "relative_url": "/video/negative-exponent-intuition", "has_questions": false, "keywords": "negative, exponent, intuition, CC_6_EE_1", "ka_url": "http://www.khanacademy.org/video/negative-exponent-intuition", "duration": 278, "translated_title": "Negative exponent intuition", "translated_description_html": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "id": "25767", "description_html": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "title": "Negative exponent intuition", "progress_key": "v25767", "edit_slug": "edit/v/25767", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "extra_properties": null, "node_slug": "v/negative-exponent-intuition", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.mp4/Tqpcku0hrPU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.mp4/Tqpcku0hrPU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.m3u8/Tqpcku0hrPU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tqpcku0hrPU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25767", "sha": "c12f1d7fe9878aec14f24f49f050136f9ea42a3c", "translated_description": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "image_url": "https://img.youtube.com/vi/Tqpcku0hrPU/hqdefault.jpg", "youtube_id": "Tqpcku0hrPU", "content_kind": "Video", "readable_id": "negative-exponent-intuition"}], "twitter_url": "", "translated_description": "It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents.\n\nCommon Core Standards: 8.EE.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents.\n\nCommon Core Standards: 8.EE.A.1", "x_pos": 0.0, "node_slug": "cc-8th-pos-neg-exponents", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ae2562a", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents", "slug": "cc-8th-pos-neg-exponents", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "597e8b6a9c4dbea0fa5daa8ce41f629f0da5f50d", "standalone_title": "Positive and negative exponents", "y_pos": 0.0, "current_revision_key": "597e8b6a9c4dbea0fa5daa8ce41f629f0da5f50d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties", "translated_standalone_title": "Exponent properties", "translated_title": "Exponent properties", "gplus_url": "", "id": "x76bd40aa", "old_key_name": null, "hide": false, "title": "Exponent properties", "child_data": [{"kind": "Video", "id": 23686}, {"kind": "Video", "id": 23688}, {"kind": "Video", "id": 25769}, {"kind": "Video", "id": 25771}, {"kind": "Exercise", "id": 2022}], "children": [{"translated_youtube_id": "zM_p7tfWvLU", "relative_url": "/video/exponent-properties-involving-products", "has_questions": false, "keywords": "Exponent, Properties, Involving, Products, CC_8_EE_1, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/exponent-properties-involving-products", "duration": 840, "translated_title": "Exponent properties involving products", "translated_description_html": "Exponent Properties Involving Products", "id": "23686", "description_html": "Exponent Properties Involving Products", "title": "Exponent properties involving products", "progress_key": "v23686", "edit_slug": "edit/v/23686", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exponent Properties Involving Products", "extra_properties": null, "node_slug": "v/exponent-properties-involving-products", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zM_p7tfWvLU.mp4/zM_p7tfWvLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zM_p7tfWvLU.mp4/zM_p7tfWvLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zM_p7tfWvLU.m3u8/zM_p7tfWvLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zM_p7tfWvLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23686", "sha": "b48698fd9216640ea6db996adef2a3b83ad56c56", "translated_description": "Exponent Properties Involving Products", "image_url": "https://img.youtube.com/vi/zM_p7tfWvLU/hqdefault.jpg", "youtube_id": "zM_p7tfWvLU", "content_kind": "Video", "readable_id": "exponent-properties-involving-products"}, {"translated_youtube_id": "AR1uqNbjM5s", "relative_url": "/video/exponent-properties-involving-quotients", "has_questions": false, "keywords": "Exponent, Properties, Involving, Quotients, CC_8_EE_1, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/exponent-properties-involving-quotients", "duration": 562, "translated_title": "Exponent properties involving quotients", "translated_description_html": "Exponent Properties Involving Quotients", "id": "23688", "description_html": "Exponent Properties Involving Quotients", "title": "Exponent properties involving quotients", "progress_key": "v23688", "edit_slug": "edit/v/23688", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exponent Properties Involving Quotients", "extra_properties": null, "node_slug": "v/exponent-properties-involving-quotients", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.m3u8/AR1uqNbjM5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AR1uqNbjM5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23688", "sha": "4cb1016f9b7e1949f238c672a40c8889e2d42998", "translated_description": "Exponent Properties Involving Quotients", "image_url": "https://img.youtube.com/vi/AR1uqNbjM5s/hqdefault.jpg", "youtube_id": "AR1uqNbjM5s", "content_kind": "Video", "readable_id": "exponent-properties-involving-quotients"}, {"translated_youtube_id": "kITJ6qH7jS0", "relative_url": "/video/exponent-rules-part-1", "has_questions": false, "keywords": "Math, exponents, exponent, rules, Khan, Academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-1", "duration": 583, "translated_title": "Exponent rules part 1", "translated_description_html": "Introduction to exponent rules", "id": "25769", "description_html": "Introduction to exponent rules", "title": "Exponent rules part 1", "progress_key": "v25769", "edit_slug": "edit/v/25769", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to exponent rules", "extra_properties": null, "node_slug": "v/exponent-rules-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.m3u8/kITJ6qH7jS0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kITJ6qH7jS0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25769", "sha": "e2b19a149a119a34161603e6b302284c333e7918", "translated_description": "Introduction to exponent rules", "image_url": "https://img.youtube.com/vi/kITJ6qH7jS0/hqdefault.jpg", "youtube_id": "kITJ6qH7jS0", "content_kind": "Video", "readable_id": "exponent-rules-part-1"}, {"translated_youtube_id": "rEtuPhl6930", "relative_url": "/video/exponent-rules-part-2", "has_questions": false, "keywords": "Math, exponents, algebra, exponent, rules, khan, academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-2", "duration": 463, "translated_title": "Exponent rules part 2", "translated_description_html": "2 more exponent rules with an introduction to composite problems", "id": "25771", "description_html": "2 more exponent rules with an introduction to composite problems", "title": "Exponent rules part 2", "progress_key": "v25771", "edit_slug": "edit/v/25771", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 more exponent rules with an introduction to composite problems", "extra_properties": null, "node_slug": "v/exponent-rules-part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.m3u8/rEtuPhl6930.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rEtuPhl6930&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25771", "sha": "c6d09bd26549b9d8e73f95b645f807a7270450b4", "translated_description": "2 more exponent rules with an introduction to composite problems", "image_url": "https://img.youtube.com/vi/rEtuPhl6930/hqdefault.jpg", "youtube_id": "rEtuPhl6930", "content_kind": "Video", "readable_id": "exponent-rules-part-2"}], "twitter_url": "", "translated_description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.\n\nCommon Core Standards: 8.EE.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.\n\nCommon Core Standards: 8.EE.A.1", "x_pos": 0.0, "node_slug": "cc-8th-exponent-properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax76bd40aa", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties", "slug": "cc-8th-exponent-properties", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "05a0692d636d9f5c7479bea5bf3fe0d6db96e875", "standalone_title": "Exponent properties", "y_pos": 0.0, "current_revision_key": "05a0692d636d9f5c7479bea5bf3fe0d6db96e875", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots", "translated_standalone_title": "Square roots and cube roots", "translated_title": "Square roots and cube roots", "gplus_url": "", "id": "x529c00e1", "old_key_name": null, "hide": false, "title": "Square roots and cube roots", "child_data": [{"kind": "Video", "id": 2600694}, {"kind": "Exercise", "id": 720948123}, {"kind": "Video", "id": 126711578}, {"kind": "Exercise", "id": 720817477}], "children": [{"translated_youtube_id": "ROIfbUQrSY4", "relative_url": "/video/understanding-square-roots", "has_questions": false, "keywords": "U01_L5_T1_we3, Understanding, Square, Roots, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/understanding-square-roots", "duration": 81, "translated_title": "Understanding square roots", "translated_description_html": "Understanding Square Roots", "id": "2600694", "description_html": "Understanding Square Roots", "title": "Understanding square roots", "progress_key": "v2600694", "edit_slug": "edit/v/2600694", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding Square Roots", "extra_properties": null, "node_slug": "v/understanding-square-roots", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.mp4/ROIfbUQrSY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.mp4/ROIfbUQrSY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.m3u8/ROIfbUQrSY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ROIfbUQrSY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600694", "sha": "115ac72f1bbf1197ac2e84862c999d371f5a14ba", "translated_description": "Understanding Square Roots", "image_url": "https://img.youtube.com/vi/ROIfbUQrSY4/hqdefault.jpg", "youtube_id": "ROIfbUQrSY4", "content_kind": "Video", "readable_id": "understanding-square-roots"}, {"translated_youtube_id": "DKh16Th8x6o", "relative_url": "/video/finding-cube-roots", "has_questions": false, "keywords": "u16_l1_t2_we2, Finding, Cube, Roots", "ka_url": "http://www.khanacademy.org/video/finding-cube-roots", "duration": 258, "translated_title": "Finding cube roots", "translated_description_html": "Finding Cube Roots", "id": "126711578", "description_html": "Finding Cube Roots", "title": "Finding cube roots", "progress_key": "v126711578", "edit_slug": "edit/v/126711578", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Cube Roots", "extra_properties": null, "node_slug": "v/finding-cube-roots", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.mp4/DKh16Th8x6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.mp4/DKh16Th8x6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.m3u8/DKh16Th8x6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DKh16Th8x6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711578", "sha": "b650c5f9369b8c476622e1ea02c0d76f0da9f379", "translated_description": "Finding Cube Roots", "image_url": "https://img.youtube.com/vi/DKh16Th8x6o/hqdefault.jpg", "youtube_id": "DKh16Th8x6o", "content_kind": "Video", "readable_id": "finding-cube-roots"}], "twitter_url": "", "translated_description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root?\n\nCommon Core Standards: 8.EE.A.2", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root?\n\nCommon Core Standards: 8.EE.A.2", "x_pos": 0.0, "node_slug": "cc-8th-roots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax529c00e1", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots", "slug": "cc-8th-roots", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c149515665b4e9facd9fb73e1743635737f7fa3a", "standalone_title": "Square roots and cube roots", "y_pos": 0.0, "current_revision_key": "c149515665b4e9facd9fb73e1743635737f7fa3a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude", "translated_standalone_title": "Orders of magnitude", "translated_title": "Orders of magnitude", "gplus_url": "", "id": "x1338e759", "old_key_name": null, "hide": false, "title": "Orders of magnitude", "child_data": [{"kind": "Video", "id": "x8d4019b2"}, {"kind": "Video", "id": "xe58a764b"}, {"kind": "Exercise", "id": "xc77006e0"}], "children": [{"translated_youtube_id": "cK1egPBjJXE", "relative_url": "/video/orders-of-magnitude-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/orders-of-magnitude-exercise-example-1", "duration": 106, "translated_title": "Orders of magnitude exercise example 1", "translated_description_html": "", "id": "x8d4019b2", "description_html": "", "title": "Orders of magnitude exercise example 1", "progress_key": "vx8d4019b2", "edit_slug": "edit/v/x8d4019b2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/orders-of-magnitude-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.mp4/cK1egPBjJXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.mp4/cK1egPBjJXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.m3u8/cK1egPBjJXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cK1egPBjJXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8d4019b2", "sha": "bd2c9e2dd7f7288b303e29e87a1ed2cded7a0a31", "translated_description": "", "image_url": "https://img.youtube.com/vi/cK1egPBjJXE/hqdefault.jpg", "youtube_id": "cK1egPBjJXE", "content_kind": "Video", "readable_id": "orders-of-magnitude-exercise-example-1"}, {"translated_youtube_id": "DaoJmvqU3FI", "relative_url": "/video/orders-of-magnitude-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/orders-of-magnitude-exercise-example-2", "duration": 348, "translated_title": "Orders of magnitude exercise example 2", "translated_description_html": "", "id": "xe58a764b", "description_html": "", "title": "Orders of magnitude exercise example 2", "progress_key": "vxe58a764b", "edit_slug": "edit/v/xe58a764b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/orders-of-magnitude-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.mp4/DaoJmvqU3FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.mp4/DaoJmvqU3FI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.m3u8/DaoJmvqU3FI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DaoJmvqU3FI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe58a764b", "sha": "90b9d415d21aff6349f9764898c5e3f72e5dc051", "translated_description": "", "image_url": "https://img.youtube.com/vi/DaoJmvqU3FI/hqdefault.jpg", "youtube_id": "DaoJmvqU3FI", "content_kind": "Video", "readable_id": "orders-of-magnitude-exercise-example-2"}], "twitter_url": "", "translated_description": "When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of \"orders of magnitude\". This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.\n\nCommon Core Standard: 8.EE.A.3", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of \"orders of magnitude\". This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.\n\nCommon Core Standard: 8.EE.A.3", "x_pos": 0.0, "node_slug": "cc-8th-orders-of-magnitude", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1338e759", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude", "slug": "cc-8th-orders-of-magnitude", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "12595b0979e16ff8aa985b99e149ef5b10e05960", "standalone_title": "Orders of magnitude", "y_pos": 0.0, "current_revision_key": "12595b0979e16ff8aa985b99e149ef5b10e05960", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation", "translated_standalone_title": "Scientific notation", "translated_title": "Scientific notation", "gplus_url": "", "id": "x97a97aee", "old_key_name": null, "hide": false, "title": "Scientific notation", "child_data": [{"kind": "Video", "id": 25785}, {"kind": "Video", "id": 4802223}, {"kind": "Exercise", "id": 530344408}, {"kind": "Video", "id": 25787}, {"kind": "Video", "id": 13179507}, {"kind": "Video", "id": 13179508}, {"kind": "Exercise", "id": 5265923}], "children": [{"translated_youtube_id": "trdbaV4TaAo", "relative_url": "/video/scientific-notation--old", "has_questions": false, "keywords": "scientific, notation, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation--old", "duration": 1248, "translated_title": "Introduction to scientific notation", "translated_description_html": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "id": "25785", "description_html": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "title": "Introduction to scientific notation", "progress_key": "v25785", "edit_slug": "edit/v/25785", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation--old", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.mp4/trdbaV4TaAo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.mp4/trdbaV4TaAo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.m3u8/trdbaV4TaAo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=trdbaV4TaAo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v25785", "sha": "d675b72c1bc38de01ebf2340f6410821987e46fa", "translated_description": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "image_url": "https://img.youtube.com/vi/trdbaV4TaAo/hqdefault.jpg", "youtube_id": "trdbaV4TaAo", "content_kind": "Video", "readable_id": "scientific-notation--old"}, {"translated_youtube_id": "i6lfVUp5RW8", "relative_url": "/video/scientific-notation", "has_questions": false, "keywords": "Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation", "duration": 686, "translated_title": "Scientific notation", "translated_description_html": "Scientific Notation", "id": "4802223", "description_html": "Scientific Notation", "title": "Scientific notation", "progress_key": "v4802223", "edit_slug": "edit/v/4802223", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Scientific Notation", "extra_properties": null, "node_slug": "v/scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.m3u8/i6lfVUp5RW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i6lfVUp5RW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802223", "sha": "94ecb15bb835f2e1b9360a21b38df9f704c5cd3f", "translated_description": "Scientific Notation", "image_url": "https://img.youtube.com/vi/i6lfVUp5RW8/hqdefault.jpg", "youtube_id": "i6lfVUp5RW8", "content_kind": "Video", "readable_id": "scientific-notation"}, {"translated_youtube_id": "0Dd-y_apbRw", "relative_url": "/video/scientific-notation-examples", "has_questions": false, "keywords": "scientific, notation, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-examples", "duration": 769, "translated_title": "Scientific notation examples", "translated_description_html": "More scientific notation examples", "id": "25787", "description_html": "More scientific notation examples", "title": "Scientific notation examples", "progress_key": "v25787", "edit_slug": "edit/v/25787", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More scientific notation examples", "extra_properties": null, "node_slug": "v/scientific-notation-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.mp4/0Dd-y_apbRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.mp4/0Dd-y_apbRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.m3u8/0Dd-y_apbRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0Dd-y_apbRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25787", "sha": "30cfe7df087afee87d08d371ee9b48c1efccfb5e", "translated_description": "More scientific notation examples", "image_url": "https://img.youtube.com/vi/0Dd-y_apbRw/hqdefault.jpg", "youtube_id": "0Dd-y_apbRw", "content_kind": "Video", "readable_id": "scientific-notation-examples"}, {"translated_youtube_id": "6phoVfGKKec", "relative_url": "/video/scientific-notation-i", "has_questions": false, "keywords": "u11_l1_t4_we1, Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation-i", "duration": 252, "translated_title": "Scientific notation I", "translated_description_html": "Scientific Notation I", "id": "13179507", "description_html": "Scientific Notation I", "title": "Scientific notation I", "progress_key": "v13179507", "edit_slug": "edit/v/13179507", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Scientific Notation I", "extra_properties": null, "node_slug": "v/scientific-notation-i", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.mp4/6phoVfGKKec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.mp4/6phoVfGKKec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.m3u8/6phoVfGKKec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6phoVfGKKec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179507", "sha": "a250bfe5245950825a16d964aa825f9580f830ef", "translated_description": "Scientific Notation I", "image_url": "https://img.youtube.com/vi/6phoVfGKKec/hqdefault.jpg", "youtube_id": "6phoVfGKKec", "content_kind": "Video", "readable_id": "scientific-notation-i"}, {"translated_youtube_id": "xxAFh-qHPPA", "relative_url": "/video/scientific-notation-example-2", "has_questions": false, "keywords": "u11_l1_t4_we2, Scientific, Notation, CC_5_NBT_2, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-example-2", "duration": 323, "translated_title": "Scientific notation example 2", "translated_description_html": "Scientific Notation 2", "id": "13179508", "description_html": "Scientific Notation 2", "title": "Scientific notation example 2", "progress_key": "v13179508", "edit_slug": "edit/v/13179508", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Scientific Notation 2", "extra_properties": null, "node_slug": "v/scientific-notation-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.mp4/xxAFh-qHPPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.mp4/xxAFh-qHPPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.m3u8/xxAFh-qHPPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xxAFh-qHPPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179508", "sha": "3ee5a177251850be06af97cc753c08b092bd2c67", "translated_description": "Scientific Notation 2", "image_url": "https://img.youtube.com/vi/xxAFh-qHPPA/hqdefault.jpg", "youtube_id": "xxAFh-qHPPA", "content_kind": "Video", "readable_id": "scientific-notation-example-2"}], "twitter_url": "", "translated_description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!\n\nCommon Core Standard: 8.EE.A.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!\n\nCommon Core Standard: 8.EE.A.4", "x_pos": 0.0, "node_slug": "cc-8th-scientific-notation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97a97aee", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation", "slug": "cc-8th-scientific-notation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4aebdb18c6bf23cf78119dad2bc6c0c2815c7b9c", "standalone_title": "Scientific notation", "y_pos": 0.0, "current_revision_key": "4aebdb18c6bf23cf78119dad2bc6c0c2815c7b9c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu", "translated_standalone_title": "Computing with scientific notation", "translated_title": "Computing with scientific notation", "gplus_url": "", "id": "xed1ca3ab", "old_key_name": null, "hide": false, "title": "Computing with scientific notation", "child_data": [{"kind": "Video", "id": 466009718}, {"kind": "Video", "id": 13179509}, {"kind": "Video", "id": 26898}, {"kind": "Video", "id": "xdf6e3aee"}, {"kind": "Exercise", "id": 643305766}, {"kind": "Video", "id": "x80584388"}, {"kind": "Video", "id": "x767b7883"}, {"kind": "Exercise", "id": "x24245395"}], "children": [{"translated_youtube_id": "67jn5Zv-myg", "relative_url": "/video/multiplying-in-scientific-notation", "has_questions": false, "keywords": "u11_l1_t4_we_int, Multiplying, in, Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/multiplying-in-scientific-notation", "duration": 455, "translated_title": "Multiplying in scientific notation", "translated_description_html": "u11_l1_t4_we_int Multiplying in Scientific Notation", "id": "466009718", "description_html": "u11_l1_t4_we_int Multiplying in Scientific Notation", "title": "Multiplying in scientific notation", "progress_key": "v466009718", "edit_slug": "edit/v/466009718", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "u11_l1_t4_we_int Multiplying in Scientific Notation", "extra_properties": null, "node_slug": "v/multiplying-in-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.mp4/67jn5Zv-myg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.mp4/67jn5Zv-myg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.m3u8/67jn5Zv-myg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=67jn5Zv-myg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466009718", "sha": "b08eafb8acd5737361bbad050ef5044c33624514", "translated_description": "u11_l1_t4_we_int Multiplying in Scientific Notation", "image_url": "https://img.youtube.com/vi/67jn5Zv-myg/hqdefault.jpg", "youtube_id": "67jn5Zv-myg", "content_kind": "Video", "readable_id": "multiplying-in-scientific-notation"}, {"translated_youtube_id": "dD71fFNwVJw", "relative_url": "/video/scientific-notation-3--new", "has_questions": false, "keywords": "u11_l1_t4_we3, Scientific, Notation, CC_5_NBT_2, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-3--new", "duration": 267, "translated_title": "Multiplying in scientific notation example", "translated_description_html": "Multiplying in scientific notation example", "id": "13179509", "description_html": "Multiplying in scientific notation example", "title": "Multiplying in scientific notation example", "progress_key": "v13179509", "edit_slug": "edit/v/13179509", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying in scientific notation example", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation-3--new", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.mp4/dD71fFNwVJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.mp4/dD71fFNwVJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.m3u8/dD71fFNwVJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dD71fFNwVJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179509", "sha": "79524621311341520ee4132177b61702dab61e83", "translated_description": "Multiplying in scientific notation example", "image_url": "https://img.youtube.com/vi/dD71fFNwVJw/hqdefault.jpg", "youtube_id": "dD71fFNwVJw", "content_kind": "Video", "readable_id": "scientific-notation-3--new"}, {"translated_youtube_id": "XJBwJjP2_hM", "relative_url": "/video/scientific-notation-3", "has_questions": false, "keywords": "U07_L1_T2_we3, Scientific, notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation-3", "duration": 381, "translated_title": "Dividing in scientific notation example", "translated_description_html": "Example showing how to divide two numbers expressed in scientific notation", "id": "26898", "description_html": "Example showing how to divide two numbers expressed in scientific notation", "title": "Dividing in scientific notation example", "progress_key": "v26898", "edit_slug": "edit/v/26898", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example showing how to divide two numbers expressed in scientific notation", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.mp4/XJBwJjP2_hM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.mp4/XJBwJjP2_hM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.m3u8/XJBwJjP2_hM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XJBwJjP2_hM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26898", "sha": "dd7eabad8f53c763f5a5e1d5b89caf12eae1802e", "translated_description": "Example showing how to divide two numbers expressed in scientific notation", "image_url": "https://img.youtube.com/vi/XJBwJjP2_hM/hqdefault.jpg", "youtube_id": "XJBwJjP2_hM", "content_kind": "Video", "readable_id": "scientific-notation-3"}, {"translated_youtube_id": "497oIjqRPco", "relative_url": "/video/multiplying-and-dividing-in-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-in-scientific-notation", "duration": 173, "translated_title": "Multiplying and dividing in scientific notation", "translated_description_html": "", "id": "xdf6e3aee", "description_html": "", "title": "Multiplying and dividing in scientific notation", "progress_key": "vxdf6e3aee", "edit_slug": "edit/v/xdf6e3aee", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-and-dividing-in-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T15:55:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.mp4/497oIjqRPco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.mp4/497oIjqRPco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.m3u8/497oIjqRPco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=497oIjqRPco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf6e3aee", "sha": "53f217fa91153d3099400ec6829abf934eeedf84", "translated_description": "", "image_url": "https://img.youtube.com/vi/497oIjqRPco/hqdefault.jpg", "youtube_id": "497oIjqRPco", "content_kind": "Video", "readable_id": "multiplying-and-dividing-in-scientific-notation"}, {"translated_youtube_id": "EbmgLiSVACU", "relative_url": "/video/simplifying-a-complicated-expression-into-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simplifying-a-complicated-expression-into-scientific-notation", "duration": 352, "translated_title": "Simplifying a complicated expression into scientific notation", "translated_description_html": "", "id": "x80584388", "description_html": "", "title": "Simplifying a complicated expression into scientific notation", "progress_key": "vx80584388", "edit_slug": "edit/v/x80584388", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/simplifying-a-complicated-expression-into-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T15:55:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.mp4/EbmgLiSVACU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.mp4/EbmgLiSVACU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.m3u8/EbmgLiSVACU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EbmgLiSVACU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx80584388", "sha": "7dc1ac048c4650cbc4d64ec8e7af9829711740ef", "translated_description": "", "image_url": "https://img.youtube.com/vi/EbmgLiSVACU/hqdefault.jpg", "youtube_id": "EbmgLiSVACU", "content_kind": "Video", "readable_id": "simplifying-a-complicated-expression-into-scientific-notation"}, {"translated_youtube_id": "0lOpqmTdtzk", "relative_url": "/video/calculating-red-blood-cells-in-the-body-using-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-red-blood-cells-in-the-body-using-scientific-notation", "duration": 286, "translated_title": "Calculating red blood cells in the body using scientific notation", "translated_description_html": "", "id": "x767b7883", "description_html": "", "title": "Calculating red blood cells in the body using scientific notation", "progress_key": "vx767b7883", "edit_slug": "edit/v/x767b7883", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/calculating-red-blood-cells-in-the-body-using-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-20T15:55:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.mp4/0lOpqmTdtzk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.mp4/0lOpqmTdtzk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.m3u8/0lOpqmTdtzk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0lOpqmTdtzk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx767b7883", "sha": "1b28585d92efe60f4f11ff7bf18620a214dd59d2", "translated_description": "", "image_url": "https://img.youtube.com/vi/0lOpqmTdtzk/hqdefault.jpg", "youtube_id": "0lOpqmTdtzk", "content_kind": "Video", "readable_id": "calculating-red-blood-cells-in-the-body-using-scientific-notation"}], "twitter_url": "", "translated_description": "You already understand what scientific notation is. Now you'll actually use it to compute values and solve real-world problems.\n\nCommon Core Standard: 8.EE.A.4", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You already understand what scientific notation is. Now you'll actually use it to compute values and solve real-world problems.\n\nCommon Core Standard: 8.EE.A.4", "x_pos": 0.0, "node_slug": "cc-8th-scientific-notation-compu", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axed1ca3ab", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu", "slug": "cc-8th-scientific-notation-compu", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "972736fa9cc30e15c9b8dc71233014b4746045df", "standalone_title": "Computing with scientific notation", "y_pos": 0.0, "current_revision_key": "972736fa9cc30e15c9b8dc71233014b4746045df", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-numbers-operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1afd9461", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-numbers-operations", "extended_slug": "math/cc-eighth-grade-math/cc-8th-numbers-operations", "slug": "cc-8th-numbers-operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6685dedfb30ebf79f4149c41f6177bcb645538de", "standalone_title": "Numbers and operations", "y_pos": 0.0, "current_revision_key": "6685dedfb30ebf79f4149c41f6177bcb645538de", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations", "translated_standalone_title": "Solving equations", "translated_title": "Solving equations", "gplus_url": "", "id": "xdffae55c", "old_key_name": null, "hide": false, "title": "Solving equations", "child_data": [{"kind": "Topic", "id": "xae63359e"}, {"kind": "Topic", "id": "x16a907e7"}, {"kind": "Topic", "id": "x12f4bbca"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations", "translated_standalone_title": "Linear equations in one variable", "translated_title": "Linear equations in one variable", "gplus_url": "", "id": "xae63359e", "old_key_name": null, "hide": false, "title": "Linear equations in one variable", "child_data": [{"kind": "Video", "id": 9}, {"kind": "Video", "id": 13179467}, {"kind": "Video", "id": 26778}, {"kind": "Exercise", "id": 3022}], "children": [{"translated_youtube_id": "f15zA0PhSek", "relative_url": "/video/equations-3", "has_questions": false, "keywords": "algebra, solving, equations, CC_7_EE_1, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/equations-3", "duration": 533, "translated_title": "Variables on both sides", "translated_description_html": "Equations with the variable on both sides.", "id": "9", "description_html": "Equations with the variable on both sides.", "title": "Variables on both sides", "progress_key": "v9", "edit_slug": "edit/v/9", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations with the variable on both sides.", "extra_properties": null, "node_slug": "v/equations-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.mp4/f15zA0PhSek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.mp4/f15zA0PhSek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.m3u8/f15zA0PhSek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f15zA0PhSek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v9", "sha": "2d2495830aae19f294af19989e0ad2e445b41691", "translated_description": "Equations with the variable on both sides.", "image_url": "https://img.youtube.com/vi/f15zA0PhSek/hqdefault.jpg", "youtube_id": "f15zA0PhSek", "content_kind": "Video", "readable_id": "equations-3"}, {"translated_youtube_id": "CGS0vihzSlc", "relative_url": "/video/multi-step-equations-1", "has_questions": false, "keywords": "u10_l1_t2_we1, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/multi-step-equations-1", "duration": 273, "translated_title": "Example 1: Variables on both sides", "translated_description_html": "Multi-step equations 1", "id": "13179467", "description_html": "Multi-step equations 1", "title": "Example 1: Variables on both sides", "progress_key": "v13179467", "edit_slug": "edit/v/13179467", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multi-step equations 1", "extra_properties": null, "node_slug": "v/multi-step-equations-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.m3u8/CGS0vihzSlc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGS0vihzSlc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179467", "sha": "5a7252c41cc974bd1920e8a455a22e3376112d21", "translated_description": "Multi-step equations 1", "image_url": "https://img.youtube.com/vi/CGS0vihzSlc/hqdefault.jpg", "youtube_id": "CGS0vihzSlc", "content_kind": "Video", "readable_id": "multi-step-equations-1"}, {"translated_youtube_id": "1c5HY3z4k8M", "relative_url": "/video/solving-equations-2", "has_questions": false, "keywords": "U02_L1_T1_we2, Solving, Equations, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-2", "duration": 246, "translated_title": "Example 2: Variables on both sides", "translated_description_html": "Solving Equations 2", "id": "26778", "description_html": "Solving Equations 2", "title": "Example 2: Variables on both sides", "progress_key": "v26778", "edit_slug": "edit/v/26778", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations 2", "extra_properties": null, "node_slug": "v/solving-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.m3u8/1c5HY3z4k8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1c5HY3z4k8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26778", "sha": "e5d55ba305d444b3d557ecfe517eb4013154307f", "translated_description": "Solving Equations 2", "image_url": "https://img.youtube.com/vi/1c5HY3z4k8M/hqdefault.jpg", "youtube_id": "1c5HY3z4k8M", "content_kind": "Video", "readable_id": "solving-equations-2"}], "twitter_url": "", "translated_description": "You started first solving equations in sixth and seventh grade. You'll now extend this skill by tackling fancier equations that have variables on both sides.\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You started first solving equations in sixth and seventh grade. You'll now extend this skill by tackling fancier equations that have variables on both sides.\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b", "x_pos": 0.0, "node_slug": "cc-8th-linear-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axae63359e", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations", "extended_slug": "math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations", "slug": "cc-8th-linear-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4d5cdc60de5163c568be9b12d0f803c42eaaa4eb", "standalone_title": "Linear equations in one variable", "y_pos": 0.0, "current_revision_key": "4d5cdc60de5163c568be9b12d0f803c42eaaa4eb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution", "translated_standalone_title": "Solving equations with distribution", "translated_title": "Solving equations with distribution", "gplus_url": "", "id": "x16a907e7", "old_key_name": null, "hide": false, "title": "Solving equations with distribution", "child_data": [{"kind": "Video", "id": 13179469}, {"kind": "Video", "id": 1242815904}, {"kind": "Video", "id": 26779}, {"kind": "Video", "id": 26780}, {"kind": "Video", "id": 23618}, {"kind": "Video", "id": 13179468}, {"kind": "Video", "id": 23620}, {"kind": "Exercise", "id": 1106131470}], "children": [{"translated_youtube_id": "zKotuhQWIRg", "relative_url": "/video/equation-special-cases", "has_questions": false, "keywords": "u10_l1_t3_we1, Equation, Special, Cases, CC_6_EE_2, CC_6_EE_3, CC_6_EE_5", "ka_url": "http://www.khanacademy.org/video/equation-special-cases", "duration": 115, "translated_title": "Equation special cases", "translated_description_html": "Equation Special Cases", "id": "13179469", "description_html": "Equation Special Cases", "title": "Equation special cases", "progress_key": "v13179469", "edit_slug": "edit/v/13179469", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equation Special Cases", "extra_properties": null, "node_slug": "v/equation-special-cases", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.m3u8/zKotuhQWIRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zKotuhQWIRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179469", "sha": "5fe8bfd1388e93867b4a25275ca7815cbe556bb9", "translated_description": "Equation Special Cases", "image_url": "https://img.youtube.com/vi/zKotuhQWIRg/hqdefault.jpg", "youtube_id": "zKotuhQWIRg", "content_kind": "Video", "readable_id": "equation-special-cases"}, {"translated_youtube_id": "Z7C69xP08d8", "relative_url": "/video/ex-2-multi-step-equation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ex-2-multi-step-equation", "duration": 204, "translated_title": "Ex 2: Multi-step equation", "translated_description_html": "Turning a non-linear equation into a linear one.", "id": "1242815904", "description_html": "Turning a non-linear equation into a linear one.", "title": "Ex 2: Multi-step equation", "progress_key": "v1242815904", "edit_slug": "edit/v/1242815904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Turning a non-linear equation into a linear one.", "extra_properties": null, "node_slug": "v/ex-2-multi-step-equation", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-12-20T22:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.mp4/Z7C69xP08d8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.mp4/Z7C69xP08d8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.m3u8/Z7C69xP08d8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z7C69xP08d8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242815904", "sha": "709ce5284255faf5f270888b7c551fb6c93117dc", "translated_description": "Turning a non-linear equation into a linear one.", "image_url": "https://img.youtube.com/vi/Z7C69xP08d8/hqdefault.jpg", "youtube_id": "Z7C69xP08d8", "content_kind": "Video", "readable_id": "ex-2-multi-step-equation"}, {"translated_youtube_id": "YZBStgZGyDY", "relative_url": "/video/solving-equations-with-the-distributive-property", "has_questions": false, "keywords": "U02_L1_T2_we1, Solving, Equations, with, the, Distributive, Property, CC_6_EE_3, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-with-the-distributive-property", "duration": 364, "translated_title": "Solving equations with the distributive property", "translated_description_html": "Solving Equations with the Distributive Property", "id": "26779", "description_html": "Solving Equations with the Distributive Property", "title": "Solving equations with the distributive property", "progress_key": "v26779", "edit_slug": "edit/v/26779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations with the Distributive Property", "extra_properties": null, "node_slug": "v/solving-equations-with-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.m3u8/YZBStgZGyDY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YZBStgZGyDY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26779", "sha": "b05970b997d24d944e10c65a2afb3a046d94c68e", "translated_description": "Solving Equations with the Distributive Property", "image_url": "https://img.youtube.com/vi/YZBStgZGyDY/hqdefault.jpg", "youtube_id": "YZBStgZGyDY", "content_kind": "Video", "readable_id": "solving-equations-with-the-distributive-property"}, {"translated_youtube_id": "PL9UYj2awDc", "relative_url": "/video/solving-equations-with-the-distributive-property-2", "has_questions": false, "keywords": "U02_L1_T2_we2:, Solving, equations, with, the, distributive, property, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-with-the-distributive-property-2", "duration": 290, "translated_title": "Solving equations with the distributive property 2", "translated_description_html": "Solving equations with the distributive property 2", "id": "26780", "description_html": "Solving equations with the distributive property 2", "title": "Solving equations with the distributive property 2", "progress_key": "v26780", "edit_slug": "edit/v/26780", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving equations with the distributive property 2", "extra_properties": null, "node_slug": "v/solving-equations-with-the-distributive-property-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.m3u8/PL9UYj2awDc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PL9UYj2awDc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26780", "sha": "e7434b0e90c334544dae27bc90915ef203481a20", "translated_description": "Solving equations with the distributive property 2", "image_url": "https://img.youtube.com/vi/PL9UYj2awDc/hqdefault.jpg", "youtube_id": "PL9UYj2awDc", "content_kind": "Video", "readable_id": "solving-equations-with-the-distributive-property-2"}, {"translated_youtube_id": "a5uNoOnEy_A", "relative_url": "/video/multi-step-equations", "has_questions": false, "keywords": "Multi, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/multi-step-equations", "duration": 901, "translated_title": "Ex 1: Distributive property to simplify", "translated_description_html": "Multi-Step Equations", "id": "23618", "description_html": "Multi-Step Equations", "title": "Ex 1: Distributive property to simplify", "progress_key": "v23618", "edit_slug": "edit/v/23618", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multi-Step Equations", "extra_properties": null, "node_slug": "v/multi-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.mp4/a5uNoOnEy_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.mp4/a5uNoOnEy_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.m3u8/a5uNoOnEy_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5uNoOnEy_A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23618", "sha": "7db95bfd9ca231507464936e003ce993ee2537d4", "translated_description": "Multi-Step Equations", "image_url": "https://img.youtube.com/vi/a5uNoOnEy_A/hqdefault.jpg", "youtube_id": "a5uNoOnEy_A", "content_kind": "Video", "readable_id": "multi-step-equations"}, {"translated_youtube_id": "CJyVct57-9s", "relative_url": "/video/multi-step-equations-2", "has_questions": false, "keywords": "u10_l1_t2_we2, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c, CC_6_EE_3, CC_8_EE_7_b", "ka_url": "http://www.khanacademy.org/video/multi-step-equations-2", "duration": 346, "translated_title": "Ex 2: Distributive property to simplify", "translated_description_html": "Multi-step equations 2", "id": "13179468", "description_html": "Multi-step equations 2", "title": "Ex 2: Distributive property to simplify", "progress_key": "v13179468", "edit_slug": "edit/v/13179468", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multi-step equations 2", "extra_properties": null, "node_slug": "v/multi-step-equations-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.m3u8/CJyVct57-9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CJyVct57-9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179468", "sha": "c0d8b116e7ab7ec02488494c69b8d8b801173e0d", "translated_description": "Multi-step equations 2", "image_url": "https://img.youtube.com/vi/CJyVct57-9s/hqdefault.jpg", "youtube_id": "CJyVct57-9s", "content_kind": "Video", "readable_id": "multi-step-equations-2"}, {"translated_youtube_id": "xMsG9hvqzbY", "relative_url": "/video/equations-with-variables-on-both-sides", "has_questions": false, "keywords": "Variables, On, Both, Sides, equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/equations-with-variables-on-both-sides", "duration": 568, "translated_title": "Ex 3: Distributive property to simplify", "translated_description_html": "Equations with Variables on Both Sides", "id": "23620", "description_html": "Equations with Variables on Both Sides", "title": "Ex 3: Distributive property to simplify", "progress_key": "v23620", "edit_slug": "edit/v/23620", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations with Variables on Both Sides", "extra_properties": null, "node_slug": "v/equations-with-variables-on-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.m3u8/xMsG9hvqzbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xMsG9hvqzbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23620", "sha": "556ff294e2f5a932689b6ce27304703e872460ca", "translated_description": "Equations with Variables on Both Sides", "image_url": "https://img.youtube.com/vi/xMsG9hvqzbY/hqdefault.jpg", "youtube_id": "xMsG9hvqzbY", "content_kind": "Video", "readable_id": "equations-with-variables-on-both-sides"}], "twitter_url": "", "translated_description": "In this tutorial, we'll look at slightly more complicated equations that just having variables on both sides. If you can solve these, you're well on your way to mastering equations!\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll look at slightly more complicated equations that just having variables on both sides. If you can solve these, you're well on your way to mastering equations!\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b", "x_pos": 0.0, "node_slug": "cc-8th-equations-distribution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax16a907e7", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution", "extended_slug": "math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution", "slug": "cc-8th-equations-distribution", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b2f95884aed22820e45bbb7a964b39271721c2e9", "standalone_title": "Solving equations with distribution", "y_pos": 0.0, "current_revision_key": "b2f95884aed22820e45bbb7a964b39271721c2e9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions", "translated_standalone_title": "Solutions to linear equations", "translated_title": "Solutions to linear equations", "gplus_url": "", "id": "x12f4bbca", "old_key_name": null, "hide": false, "title": "Solutions to linear equations", "child_data": [{"kind": "Video", "id": "x60d48e64"}, {"kind": "Video", "id": "x62c9e8fa"}, {"kind": "Video", "id": "xdfacc6f3"}, {"kind": "Exercise", "id": "x0c18d180"}], "children": [{"translated_youtube_id": "qsL_5Y8uWPU", "relative_url": "/video/number-of-solutions-to-linear-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations", "duration": 328, "translated_title": "Number of solutions to linear equations", "translated_description_html": "", "id": "x60d48e64", "description_html": "", "title": "Number of solutions to linear equations", "progress_key": "vx60d48e64", "edit_slug": "edit/v/x60d48e64", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.mp4/qsL_5Y8uWPU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.mp4/qsL_5Y8uWPU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.m3u8/qsL_5Y8uWPU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qsL_5Y8uWPU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx60d48e64", "sha": "99919c383cd91840dfcf8145c0e2207cc7690124", "translated_description": "", "image_url": "https://img.youtube.com/vi/qsL_5Y8uWPU/hqdefault.jpg", "youtube_id": "qsL_5Y8uWPU", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations"}, {"translated_youtube_id": "uQs100shv-A", "relative_url": "/video/number-of-solutions-to-linear-equations-ex-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations-ex-2", "duration": 83, "translated_title": "Number of solutions to linear equations ex 2", "translated_description_html": "", "id": "x62c9e8fa", "description_html": "", "title": "Number of solutions to linear equations ex 2", "progress_key": "vx62c9e8fa", "edit_slug": "edit/v/x62c9e8fa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations-ex-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.mp4/uQs100shv-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.mp4/uQs100shv-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.m3u8/uQs100shv-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uQs100shv-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx62c9e8fa", "sha": "65d85c3beb5372e934290ad78b25f28493b4d366", "translated_description": "", "image_url": "https://img.youtube.com/vi/uQs100shv-A/hqdefault.jpg", "youtube_id": "uQs100shv-A", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations-ex-2"}, {"translated_youtube_id": "Dq0xFgQB9qo", "relative_url": "/video/number-of-solutions-to-linear-equations-ex-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations-ex-3", "duration": 100, "translated_title": "Number of solutions to linear equations ex 3", "translated_description_html": "", "id": "xdfacc6f3", "description_html": "", "title": "Number of solutions to linear equations ex 3", "progress_key": "vxdfacc6f3", "edit_slug": "edit/v/xdfacc6f3", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations-ex-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.mp4/Dq0xFgQB9qo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.mp4/Dq0xFgQB9qo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.m3u8/Dq0xFgQB9qo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dq0xFgQB9qo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfacc6f3", "sha": "adaf76a17389e1936f3a1f947f6f33f95256078c", "translated_description": "", "image_url": "https://img.youtube.com/vi/Dq0xFgQB9qo/hqdefault.jpg", "youtube_id": "Dq0xFgQB9qo", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations-ex-3"}], "twitter_url": "", "translated_description": "No all equations in one variable have exactly one solution. Some have no solutions and some are true for any value of the unknown. In this tutorial, we'll learn to tell the difference (and understand why this is).\n\nCommon Core Standard: 8.EE.C.7a", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "No all equations in one variable have exactly one solution. Some have no solutions and some are true for any value of the unknown. In this tutorial, we'll learn to tell the difference (and understand why this is).\n\nCommon Core Standard: 8.EE.C.7a", "x_pos": 0.0, "node_slug": "cc-8th-equation-solutions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12f4bbca", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions", "extended_slug": "math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions", "slug": "cc-8th-equation-solutions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b850e76135c2cd1fa9b1a671b1d9eea38d21621c", "standalone_title": "Solutions to linear equations", "y_pos": 0.0, "current_revision_key": "b850e76135c2cd1fa9b1a671b1d9eea38d21621c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-solving-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdffae55c", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-solving-equations", "extended_slug": "math/cc-eighth-grade-math/cc-8th-solving-equations", "slug": "cc-8th-solving-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "45092b0dc2d522ab683ca0799b1e32e3c2b2a45f", "standalone_title": "Solving equations", "y_pos": 0.0, "current_revision_key": "45092b0dc2d522ab683ca0799b1e32e3c2b2a45f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions", "translated_standalone_title": "Relationships and functions", "translated_title": "Relationships and functions", "gplus_url": "", "id": "xc44ef069", "old_key_name": null, "hide": false, "title": "Relationships and functions", "child_data": [{"kind": "Topic", "id": "x67d822e8"}, {"kind": "Topic", "id": "x28a1fa87"}, {"kind": "Topic", "id": "x5fabb7cd"}, {"kind": "Topic", "id": "x2bd71f60"}, {"kind": "Topic", "id": "x6edaec04"}, {"kind": "Topic", "id": "x49fc3e15"}, {"kind": "Topic", "id": "x878ca804"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-graphing-prop-rel", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-graphing-prop-rel", "translated_standalone_title": "Graphing and analyzing proportional relationships", "translated_title": "Graphing and analyzing proportional relationships", "gplus_url": "", "id": "x67d822e8", "old_key_name": null, "hide": false, "title": "Graphing and analyzing proportional relationships", "child_data": [{"kind": "Video", "id": "xedb42f94"}, {"kind": "Video", "id": "x1ce04c40"}, {"kind": "Exercise", "id": "x369cc7ab"}, {"kind": "Video", "id": "x13c3e512"}, {"kind": "Video", "id": "x5794411e"}, {"kind": "Video", "id": "x683c6b9a"}, {"kind": "Exercise", "id": "xbe07143b"}], "children": [{"translated_youtube_id": "kHQCDrWTDv8", "relative_url": "/video/comparing-proportional-relationships-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships-exercise-2", "duration": 85, "translated_title": "Comparing rates", "translated_description_html": "", "id": "xedb42f94", "description_html": "", "title": "Comparing rates", "progress_key": "vxedb42f94", "edit_slug": "edit/v/xedb42f94", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships-exercise-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.mp4/kHQCDrWTDv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.mp4/kHQCDrWTDv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.m3u8/kHQCDrWTDv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kHQCDrWTDv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedb42f94", "sha": "ca4d13da9eca485f912f6d95261d2e62f9c330fa", "translated_description": "", "image_url": "https://img.youtube.com/vi/kHQCDrWTDv8/hqdefault.jpg", "youtube_id": "kHQCDrWTDv8", "content_kind": "Video", "readable_id": "comparing-proportional-relationships-exercise-2"}, {"translated_youtube_id": "F6rtQczAYco", "relative_url": "/video/comparing-proportional-relationships-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships-exercise", "duration": 199, "translated_title": "Representing and comparing rates", "translated_description_html": "", "id": "x1ce04c40", "description_html": "", "title": "Representing and comparing rates", "progress_key": "vx1ce04c40", "edit_slug": "edit/v/x1ce04c40", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.mp4/F6rtQczAYco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.mp4/F6rtQczAYco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.m3u8/F6rtQczAYco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F6rtQczAYco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1ce04c40", "sha": "d03d775a48149ee4dd2cbcbf1821c988832ff41d", "translated_description": "", "image_url": "https://img.youtube.com/vi/F6rtQczAYco/hqdefault.jpg", "youtube_id": "F6rtQczAYco", "content_kind": "Video", "readable_id": "comparing-proportional-relationships-exercise"}, {"translated_youtube_id": "1F7LAJEVp-U", "relative_url": "/video/graphing-proportional-relationships-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example", "duration": 271, "translated_title": "Graphing proportional relationships example", "translated_description_html": "", "id": "x13c3e512", "description_html": "", "title": "Graphing proportional relationships example", "progress_key": "vx13c3e512", "edit_slug": "edit/v/x13c3e512", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T22:30:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.mp4/1F7LAJEVp-U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.mp4/1F7LAJEVp-U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.m3u8/1F7LAJEVp-U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1F7LAJEVp-U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13c3e512", "sha": "5c220c839d54ea7eda880f44be366db90f2812d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/1F7LAJEVp-U/hqdefault.jpg", "youtube_id": "1F7LAJEVp-U", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example"}, {"translated_youtube_id": "R32xBmxXj2E", "relative_url": "/video/graphing-proportional-relationships-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example-2", "duration": 72, "translated_title": "Graphing proportional relationships example 2", "translated_description_html": "", "id": "x5794411e", "description_html": "", "title": "Graphing proportional relationships example 2", "progress_key": "vx5794411e", "edit_slug": "edit/v/x5794411e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-09T22:30:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.mp4/R32xBmxXj2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.mp4/R32xBmxXj2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.m3u8/R32xBmxXj2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R32xBmxXj2E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5794411e", "sha": "cee28010f899dc597ca337e2e7c17b8e51c884b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/R32xBmxXj2E/hqdefault.jpg", "youtube_id": "R32xBmxXj2E", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example-2"}, {"translated_youtube_id": "LoKEPEPaNm4", "relative_url": "/video/graphing-proportional-relationships-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example-3", "duration": 189, "translated_title": "Graphing proportional relationships example 3", "translated_description_html": "", "id": "x683c6b9a", "description_html": "", "title": "Graphing proportional relationships example 3", "progress_key": "vx683c6b9a", "edit_slug": "edit/v/x683c6b9a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-09T22:30:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.mp4/LoKEPEPaNm4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.mp4/LoKEPEPaNm4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.m3u8/LoKEPEPaNm4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LoKEPEPaNm4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx683c6b9a", "sha": "f5224544cd08a84b1ff4192824f6334277e1f26b", "translated_description": "", "image_url": "https://img.youtube.com/vi/LoKEPEPaNm4/hqdefault.jpg", "youtube_id": "LoKEPEPaNm4", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example-3"}], "twitter_url": "", "translated_description": "In proportional relationships, the ratio between one variable and the other is always constant. In the context of rate problems, this constant ratio can also be considered a rate of change. This tutorial allows you dig deeper into this idea.\n\nCommon Core Standard: 8.EE.B.5", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In proportional relationships, the ratio between one variable and the other is always constant. In the context of rate problems, this constant ratio can also be considered a rate of change. This tutorial allows you dig deeper into this idea.\n\nCommon Core Standard: 8.EE.B.5", "x_pos": 0.0, "node_slug": "cc-8th-graphing-prop-rel", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax67d822e8", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-graphing-prop-rel", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-graphing-prop-rel", "slug": "cc-8th-graphing-prop-rel", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9460e06e218178f1b7a741af561d87efd47a608c", "standalone_title": "Graphing and analyzing proportional relationships", "y_pos": 0.0, "current_revision_key": "9460e06e218178f1b7a741af561d87efd47a608c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-slope", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-slope", "translated_standalone_title": "Slope of a line", "translated_title": "Slope of a line", "gplus_url": "", "id": "x28a1fa87", "old_key_name": null, "hide": false, "title": "Slope of a line", "child_data": [{"kind": "Video", "id": 26800}, {"kind": "Video", "id": 33752752}, {"kind": "Video", "id": 23636}, {"kind": "Video", "id": 33752751}, {"kind": "Video", "id": 33752753}, {"kind": "Video", "id": 26801}, {"kind": "Exercise", "id": 20874}, {"kind": "Video", "id": 23448}, {"kind": "Exercise", "id": 21374}], "children": [{"translated_youtube_id": "R948Tsyq4vA", "relative_url": "/video/slope-of-a-line", "has_questions": false, "keywords": "U04_L1_T1_we1, Slope, of, line, CC_8_EE_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line", "duration": 280, "translated_title": "Slope of a line", "translated_description_html": "Slope of a line", "id": "26800", "description_html": "Slope of a line", "title": "Slope of a line", "progress_key": "v26800", "edit_slug": "edit/v/26800", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a line", "extra_properties": null, "node_slug": "v/slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.m3u8/R948Tsyq4vA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R948Tsyq4vA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26800", "sha": "2e28524814fb0b29b1be674ff0d7b20ffd08288a", "translated_description": "Slope of a line", "image_url": "https://img.youtube.com/vi/R948Tsyq4vA/hqdefault.jpg", "youtube_id": "R948Tsyq4vA", "content_kind": "Video", "readable_id": "slope-of-a-line"}, {"translated_youtube_id": "WkspBxrzuZo", "relative_url": "/video/slope-of-a-line-2", "has_questions": false, "keywords": "u13_l2_t1_we2, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-2", "duration": 432, "translated_title": "Slope of a line 2", "translated_description_html": "Slope of a Line 2", "id": "33752752", "description_html": "Slope of a Line 2", "title": "Slope of a line 2", "progress_key": "v33752752", "edit_slug": "edit/v/33752752", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 2", "extra_properties": null, "node_slug": "v/slope-of-a-line-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.m3u8/WkspBxrzuZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WkspBxrzuZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752752", "sha": "c1d57e2abf3c543811f8904778a0f5a3a52e3f24", "translated_description": "Slope of a Line 2", "image_url": "https://img.youtube.com/vi/WkspBxrzuZo/hqdefault.jpg", "youtube_id": "WkspBxrzuZo", "content_kind": "Video", "readable_id": "slope-of-a-line-2"}, {"translated_youtube_id": "Iqws-qzyZwc", "relative_url": "/video/slope-and-rate-of-change", "has_questions": false, "keywords": "SlopeAndRateOfChange, CC_8_EE_6, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/slope-and-rate-of-change", "duration": 822, "translated_title": "Slope and rate of change", "translated_description_html": null, "id": "23636", "description_html": null, "title": "Slope and rate of change", "progress_key": "v23636", "edit_slug": "edit/v/23636", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/slope-and-rate-of-change", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.m3u8/Iqws-qzyZwc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iqws-qzyZwc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23636", "sha": "07c5b6d44a72546e6bb192cef940802044ccea03", "translated_description": null, "image_url": "https://img.youtube.com/vi/Iqws-qzyZwc/hqdefault.jpg", "youtube_id": "Iqws-qzyZwc", "content_kind": "Video", "readable_id": "slope-and-rate-of-change"}, {"translated_youtube_id": "81SseQCpGws", "relative_url": "/video/graphical-slope-of-a-line", "has_questions": false, "keywords": "u13_l2_t1_we1, Graphical, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/graphical-slope-of-a-line", "duration": 240, "translated_title": "Graphical slope of a line", "translated_description_html": "Graphical Slope of a Line", "id": "33752751", "description_html": "Graphical Slope of a Line", "title": "Graphical slope of a line", "progress_key": "v33752751", "edit_slug": "edit/v/33752751", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphical Slope of a Line", "extra_properties": null, "node_slug": "v/graphical-slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.m3u8/81SseQCpGws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=81SseQCpGws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752751", "sha": "f7f48d5609a478158879cccb946f001f61d63e80", "translated_description": "Graphical Slope of a Line", "image_url": "https://img.youtube.com/vi/81SseQCpGws/hqdefault.jpg", "youtube_id": "81SseQCpGws", "content_kind": "Video", "readable_id": "graphical-slope-of-a-line"}, {"translated_youtube_id": "CFSHq099Mx0", "relative_url": "/video/slope-of-a-line-3", "has_questions": false, "keywords": "u13_l2_t1_we3, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_1, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-3", "duration": 305, "translated_title": "Slope of a line 3", "translated_description_html": "Slope of a Line 3", "id": "33752753", "description_html": "Slope of a Line 3", "title": "Slope of a line 3", "progress_key": "v33752753", "edit_slug": "edit/v/33752753", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 3", "extra_properties": null, "node_slug": "v/slope-of-a-line-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.m3u8/CFSHq099Mx0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CFSHq099Mx0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752753", "sha": "0a6c9b4196aedc7a85e6e719c199901f048fd362", "translated_description": "Slope of a Line 3", "image_url": "https://img.youtube.com/vi/CFSHq099Mx0/hqdefault.jpg", "youtube_id": "CFSHq099Mx0", "content_kind": "Video", "readable_id": "slope-of-a-line-3"}, {"translated_youtube_id": "jTCZfMMcHBo", "relative_url": "/video/slope-example", "has_questions": false, "keywords": "U04_L1_T1_we2, Slope, Example, CC_8_EE_5, CC_39336_F-LE_1_b", "ka_url": "http://www.khanacademy.org/video/slope-example", "duration": 243, "translated_title": "Slope example", "translated_description_html": "Slope Example", "id": "26801", "description_html": "Slope Example", "title": "Slope example", "progress_key": "v26801", "edit_slug": "edit/v/26801", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope Example", "extra_properties": null, "node_slug": "v/slope-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.mp4/jTCZfMMcHBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.mp4/jTCZfMMcHBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.m3u8/jTCZfMMcHBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jTCZfMMcHBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26801", "sha": "d9d3b68cf4ee97a08f5cdae4bc717634f1aa0b65", "translated_description": "Slope Example", "image_url": "https://img.youtube.com/vi/jTCZfMMcHBo/hqdefault.jpg", "youtube_id": "jTCZfMMcHBo", "content_kind": "Video", "readable_id": "slope-example"}, {"translated_youtube_id": "8sz1IPjBRS8", "relative_url": "/video/slope-and-y-intercept-intuition", "has_questions": false, "keywords": "slope, y-intercept, graph", "ka_url": "http://www.khanacademy.org/video/slope-and-y-intercept-intuition", "duration": 354, "translated_title": "Slope and y-intercept intuition", "translated_description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "id": "23448", "description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "title": "Slope and y-intercept intuition", "progress_key": "v23448", "edit_slug": "edit/v/23448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "extra_properties": null, "node_slug": "v/slope-and-y-intercept-intuition", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.m3u8/8sz1IPjBRS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8sz1IPjBRS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23448", "sha": "1932940a0e603cfd2e72405f0291eab5cfe97b06", "translated_description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "image_url": "https://img.youtube.com/vi/8sz1IPjBRS8/hqdefault.jpg", "youtube_id": "8sz1IPjBRS8", "content_kind": "Video", "readable_id": "slope-and-y-intercept-intuition"}], "twitter_url": "", "translated_description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nCommon Core Standard: 8.F.B.4\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nCommon Core Standard: 8.F.B.4\n", "x_pos": 0.0, "node_slug": "cc-8th-slope", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax28a1fa87", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-slope", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-slope", "slug": "cc-8th-slope", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "98ccc48e502bc373839b05bb79a5ca8aa6e744d3", "standalone_title": "Slope of a line", "y_pos": 0.0, "current_revision_key": "98ccc48e502bc373839b05bb79a5ca8aa6e744d3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-similarity-slope", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-similarity-slope", "translated_standalone_title": "Triangle similarity and slope", "translated_title": "Triangle similarity and slope", "gplus_url": "", "id": "x5fabb7cd", "old_key_name": null, "hide": false, "title": "Triangle similarity and slope", "child_data": [{"kind": "Video", "id": "x208e430a"}, {"kind": "Video", "id": "xf804d0d7"}, {"kind": "Video", "id": "x3711faf2"}, {"kind": "Video", "id": "x525ceb24"}, {"kind": "Video", "id": "x82c181d0"}, {"kind": "Exercise", "id": "x940529aa"}], "children": [{"translated_youtube_id": "24WMbh1BBKc", "relative_url": "/video/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "duration": 476, "translated_title": "Similar triangles to prove that the slope is constant for a line", "translated_description_html": "", "id": "x208e430a", "description_html": "", "title": "Similar triangles to prove that the slope is constant for a line", "progress_key": "vx208e430a", "edit_slug": "edit/v/x208e430a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.mp4/24WMbh1BBKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.mp4/24WMbh1BBKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.m3u8/24WMbh1BBKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=24WMbh1BBKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx208e430a", "sha": "d33b9bc404f63f326eae0b369b73170eab057771", "translated_description": "", "image_url": "https://img.youtube.com/vi/24WMbh1BBKc/hqdefault.jpg", "youtube_id": "24WMbh1BBKc", "content_kind": "Video", "readable_id": "similar-triangles-to-prove-that-the-slope-is-constant-for-a-line"}, {"translated_youtube_id": "4cxjvAPs92o", "relative_url": "/video/slope-and-triangle-similarity-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-1", "duration": 366, "translated_title": "Slope and triangle similarity 1", "translated_description_html": "", "id": "xf804d0d7", "description_html": "", "title": "Slope and triangle similarity 1", "progress_key": "vxf804d0d7", "edit_slug": "edit/v/xf804d0d7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.mp4/4cxjvAPs92o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.mp4/4cxjvAPs92o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.m3u8/4cxjvAPs92o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4cxjvAPs92o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf804d0d7", "sha": "129da81bc37850e306002e27c5345a2947974059", "translated_description": "", "image_url": "https://img.youtube.com/vi/4cxjvAPs92o/hqdefault.jpg", "youtube_id": "4cxjvAPs92o", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-1"}, {"translated_youtube_id": "Gt7adTCc8qw", "relative_url": "/video/slope-and-triangle-similarity-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-2", "duration": 485, "translated_title": "Slope and triangle similarity 2", "translated_description_html": "", "id": "x3711faf2", "description_html": "", "title": "Slope and triangle similarity 2", "progress_key": "vx3711faf2", "edit_slug": "edit/v/x3711faf2", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-27T22:36:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.mp4/Gt7adTCc8qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.mp4/Gt7adTCc8qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.m3u8/Gt7adTCc8qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gt7adTCc8qw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3711faf2", "sha": "9ffff2f06693b4abe95e53d58fd99ca98809843b", "translated_description": "", "image_url": "https://img.youtube.com/vi/Gt7adTCc8qw/hqdefault.jpg", "youtube_id": "Gt7adTCc8qw", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-2"}, {"translated_youtube_id": "TINBeqCzLVk", "relative_url": "/video/slope-and-triangle-similarity-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-3", "duration": 433, "translated_title": "Slope and triangle similarity 3", "translated_description_html": "", "id": "x525ceb24", "description_html": "", "title": "Slope and triangle similarity 3", "progress_key": "vx525ceb24", "edit_slug": "edit/v/x525ceb24", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.mp4/TINBeqCzLVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.mp4/TINBeqCzLVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.m3u8/TINBeqCzLVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TINBeqCzLVk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx525ceb24", "sha": "48373f77ae0b36d232a787c0e20cf8a5ca9a6947", "translated_description": "", "image_url": "https://img.youtube.com/vi/TINBeqCzLVk/hqdefault.jpg", "youtube_id": "TINBeqCzLVk", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-3"}, {"translated_youtube_id": "VDnIdNM4tWI", "relative_url": "/video/slope-and-triangle-similarity-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-4", "duration": 363, "translated_title": "Slope and triangle similarity 4", "translated_description_html": "", "id": "x82c181d0", "description_html": "", "title": "Slope and triangle similarity 4", "progress_key": "vx82c181d0", "edit_slug": "edit/v/x82c181d0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.mp4/VDnIdNM4tWI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.mp4/VDnIdNM4tWI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.m3u8/VDnIdNM4tWI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VDnIdNM4tWI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx82c181d0", "sha": "3e02ae110b4cf025ea090e18b608a035c4266f45", "translated_description": "", "image_url": "https://img.youtube.com/vi/VDnIdNM4tWI/hqdefault.jpg", "youtube_id": "VDnIdNM4tWI", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-4"}], "twitter_url": "", "translated_description": "In this tutorial, we use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane. We'll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.\n \nCommon Core Standard: 8.EE.B.6", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane. We'll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.\n \nCommon Core Standard: 8.EE.B.6", "x_pos": 0.0, "node_slug": "cc-8th-similarity-slope", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5fabb7cd", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-similarity-slope", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-similarity-slope", "slug": "cc-8th-similarity-slope", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "895d3743eec387600145c845112bb06b89489d62", "standalone_title": "Triangle similarity and slope", "y_pos": 0.0, "current_revision_key": "895d3743eec387600145c845112bb06b89489d62", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-intro", "translated_standalone_title": "Introduction to functions", "translated_title": "Introduction to functions", "gplus_url": "", "id": "x2bd71f60", "old_key_name": null, "hide": false, "title": "Introduction to functions", "child_data": [{"kind": "Video", "id": "x2ec1ec8a"}, {"kind": "Video", "id": 1254705646}, {"kind": "Video", "id": 26791}, {"kind": "Video", "id": 357917981}, {"kind": "Video", "id": 357917979}, {"kind": "Video", "id": 26790}, {"kind": "Video", "id": "xe1f24412"}, {"kind": "Video", "id": "x5b15777f"}, {"kind": "Video", "id": "x9cd7b997"}, {"kind": "Video", "id": "xce131edd"}, {"kind": "Exercise", "id": "xe051d459"}, {"kind": "Video", "id": "xe4c1673b"}, {"kind": "Video", "id": 23592}, {"kind": "Exercise", "id": "xe3f06745"}], "children": [{"translated_youtube_id": "kvGsIo1TmsM", "relative_url": "/video/what-is-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-function", "duration": 477, "translated_title": "What is a function", "translated_description_html": "", "id": "x2ec1ec8a", "description_html": "", "title": "What is a function", "progress_key": "vx2ec1ec8a", "edit_slug": "edit/v/x2ec1ec8a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/what-is-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-06T21:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.m3u8/kvGsIo1TmsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kvGsIo1TmsM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2ec1ec8a", "sha": "60df92ae78690f88902f56fa7b30f6058f5ac07b", "translated_description": "", "image_url": "https://img.youtube.com/vi/kvGsIo1TmsM/hqdefault.jpg", "youtube_id": "kvGsIo1TmsM", "content_kind": "Video", "readable_id": "what-is-a-function"}, {"translated_youtube_id": "l3iXON1xEC4", "relative_url": "/video/difference-between-equations-and-functions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/difference-between-equations-and-functions", "duration": 258, "translated_title": "Difference between equations and functions", "translated_description_html": "Jesse Roe and Sal talk about the difference between equations and functions", "id": "1254705646", "description_html": "Jesse Roe and Sal talk about the difference between equations and functions", "title": "Difference between equations and functions", "progress_key": "v1254705646", "edit_slug": "edit/v/1254705646", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Jesse Roe and Sal talk about the difference between equations and functions", "extra_properties": null, "node_slug": "v/difference-between-equations-and-functions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-29T01:39:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.mp4/l3iXON1xEC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.mp4/l3iXON1xEC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.m3u8/l3iXON1xEC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l3iXON1xEC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254705646", "sha": "17a397cc2cfc7c70fb99d588995946f9b3f01cdc", "translated_description": "Jesse Roe and Sal talk about the difference between equations and functions", "image_url": "https://img.youtube.com/vi/l3iXON1xEC4/hqdefault.jpg", "youtube_id": "l3iXON1xEC4", "content_kind": "Video", "readable_id": "difference-between-equations-and-functions"}, {"translated_youtube_id": "3SO1BQQ9_1E", "relative_url": "/video/testing-if-a-relationship-is-a-function", "has_questions": false, "keywords": "U03_L2_T1_we2, Testing, if, relationship, is, function, CC_8_F_1, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/testing-if-a-relationship-is-a-function", "duration": 143, "translated_title": "Testing if a relationship is a function", "translated_description_html": "Testing if a relationship is a function", "id": "26791", "description_html": "Testing if a relationship is a function", "title": "Testing if a relationship is a function", "progress_key": "v26791", "edit_slug": "edit/v/26791", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing if a relationship is a function", "extra_properties": null, "node_slug": "v/testing-if-a-relationship-is-a-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.mp4/3SO1BQQ9_1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.mp4/3SO1BQQ9_1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.m3u8/3SO1BQQ9_1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3SO1BQQ9_1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26791", "sha": "74389d370a53a870cccb041d446e75b11731227e", "translated_description": "Testing if a relationship is a function", "image_url": "https://img.youtube.com/vi/3SO1BQQ9_1E/hqdefault.jpg", "youtube_id": "3SO1BQQ9_1E", "content_kind": "Video", "readable_id": "testing-if-a-relationship-is-a-function"}, {"translated_youtube_id": "Uz0MtFlLD-k", "relative_url": "/video/relations-and-functions", "has_questions": false, "keywords": "u17_l1_t1_we2, Relations, and, Functions", "ka_url": "http://www.khanacademy.org/video/relations-and-functions", "duration": 417, "translated_title": "Relations and functions", "translated_description_html": "Relations and Functions", "id": "357917981", "description_html": "Relations and Functions", "title": "Relations and functions", "progress_key": "v357917981", "edit_slug": "edit/v/357917981", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Relations and Functions", "extra_properties": null, "node_slug": "v/relations-and-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.m3u8/Uz0MtFlLD-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uz0MtFlLD-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357917981", "sha": "5e3642aff1dc37d77b1dd033aac91e12e0734f2d", "translated_description": "Relations and Functions", "image_url": "https://img.youtube.com/vi/Uz0MtFlLD-k/hqdefault.jpg", "youtube_id": "Uz0MtFlLD-k", "content_kind": "Video", "readable_id": "relations-and-functions"}, {"translated_youtube_id": "qGmJ4F3b5W8", "relative_url": "/video/graphical-relations-and-functions", "has_questions": false, "keywords": "u17_l1_t1_we3, Graphical, Relations, and, Functions", "ka_url": "http://www.khanacademy.org/video/graphical-relations-and-functions", "duration": 247, "translated_title": "Graphical relations and functions", "translated_description_html": "Graphical Relations and Functions", "id": "357917979", "description_html": "Graphical Relations and Functions", "title": "Graphical relations and functions", "progress_key": "v357917979", "edit_slug": "edit/v/357917979", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Graphical Relations and Functions", "extra_properties": null, "node_slug": "v/graphical-relations-and-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.mp4/qGmJ4F3b5W8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.mp4/qGmJ4F3b5W8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.m3u8/qGmJ4F3b5W8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qGmJ4F3b5W8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357917979", "sha": "d1db85ac0f2c771509dfe8ccc8f55604a7800266", "translated_description": "Graphical Relations and Functions", "image_url": "https://img.youtube.com/vi/qGmJ4F3b5W8/hqdefault.jpg", "youtube_id": "qGmJ4F3b5W8", "content_kind": "Video", "readable_id": "graphical-relations-and-functions"}, {"translated_youtube_id": "5cK86VKoBPw", "relative_url": "/video/functional-relationships-1", "has_questions": false, "keywords": "U03_L2_T1_we1, Functional, Relationships, CC_8_F_1, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/functional-relationships-1", "duration": 280, "translated_title": "Functional relationships 1", "translated_description_html": "Functional Relationships 1", "id": "26790", "description_html": "Functional Relationships 1", "title": "Functional relationships 1", "progress_key": "v26790", "edit_slug": "edit/v/26790", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Functional Relationships 1", "extra_properties": null, "node_slug": "v/functional-relationships-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.m3u8/5cK86VKoBPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5cK86VKoBPw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26790", "sha": "574628b097da034cbd039361a06f26fe367a398c", "translated_description": "Functional Relationships 1", "image_url": "https://img.youtube.com/vi/5cK86VKoBPw/hqdefault.jpg", "youtube_id": "5cK86VKoBPw", "content_kind": "Video", "readable_id": "functional-relationships-1"}, {"translated_youtube_id": "tBRW-CyJE6k", "relative_url": "/video/recognizing-functions--example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-1", "duration": 91, "translated_title": "Recognizing functions (example 1)", "translated_description_html": "", "id": "xe1f24412", "description_html": "", "title": "Recognizing functions (example 1)", "progress_key": "vxe1f24412", "edit_slug": "edit/v/xe1f24412", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.mp4/tBRW-CyJE6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.mp4/tBRW-CyJE6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.m3u8/tBRW-CyJE6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tBRW-CyJE6k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe1f24412", "sha": "d8e2b8d515975a18dfc443ce3111c7e277e34e8b", "translated_description": "", "image_url": "https://img.youtube.com/vi/tBRW-CyJE6k/hqdefault.jpg", "youtube_id": "tBRW-CyJE6k", "content_kind": "Video", "readable_id": "recognizing-functions--example-1"}, {"translated_youtube_id": "_npwsLh0vws", "relative_url": "/video/recognizing-functions--example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-2", "duration": 100, "translated_title": "Recognizing functions (example 2)", "translated_description_html": "", "id": "x5b15777f", "description_html": "", "title": "Recognizing functions (example 2)", "progress_key": "vx5b15777f", "edit_slug": "edit/v/x5b15777f", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-04T19:20:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.mp4/_npwsLh0vws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.mp4/_npwsLh0vws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.m3u8/_npwsLh0vws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_npwsLh0vws&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5b15777f", "sha": "36b86f790fd3e1c391bc10ad8d175ca0f9bc7626", "translated_description": "", "image_url": "https://img.youtube.com/vi/_npwsLh0vws/hqdefault.jpg", "youtube_id": "_npwsLh0vws", "content_kind": "Video", "readable_id": "recognizing-functions--example-2"}, {"translated_youtube_id": "lEhf75ma7Ww", "relative_url": "/video/recognizing-functions--example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-3", "duration": 76, "translated_title": "Recognizing functions (example 3)", "translated_description_html": "", "id": "x9cd7b997", "description_html": "", "title": "Recognizing functions (example 3)", "progress_key": "vx9cd7b997", "edit_slug": "edit/v/x9cd7b997", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.mp4/lEhf75ma7Ww.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.mp4/lEhf75ma7Ww.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.m3u8/lEhf75ma7Ww.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lEhf75ma7Ww&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9cd7b997", "sha": "29260c9fceb188c090870fa167eaa39f56e2bb4c", "translated_description": "", "image_url": "https://img.youtube.com/vi/lEhf75ma7Ww/hqdefault.jpg", "youtube_id": "lEhf75ma7Ww", "content_kind": "Video", "readable_id": "recognizing-functions--example-3"}, {"translated_youtube_id": "QWLcNxQ3KvQ", "relative_url": "/video/recognizing-functions--example-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-4", "duration": 213, "translated_title": "Recognizing functions (example 4)", "translated_description_html": "", "id": "xce131edd", "description_html": "", "title": "Recognizing functions (example 4)", "progress_key": "vxce131edd", "edit_slug": "edit/v/xce131edd", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.mp4/QWLcNxQ3KvQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.mp4/QWLcNxQ3KvQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.m3u8/QWLcNxQ3KvQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QWLcNxQ3KvQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxce131edd", "sha": "a2ea77c8273707b7e56ebf1447359caabf0ff8ef", "translated_description": "", "image_url": "https://img.youtube.com/vi/QWLcNxQ3KvQ/hqdefault.jpg", "youtube_id": "QWLcNxQ3KvQ", "content_kind": "Video", "readable_id": "recognizing-functions--example-4"}, {"translated_youtube_id": "z45UEiPaE8c", "relative_url": "/video/recognizing-functions--example-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-5", "duration": 203, "translated_title": "Recognizing functions (example 5)", "translated_description_html": "", "id": "xe4c1673b", "description_html": "", "title": "Recognizing functions (example 5)", "progress_key": "vxe4c1673b", "edit_slug": "edit/v/xe4c1673b", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.mp4/z45UEiPaE8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.mp4/z45UEiPaE8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.m3u8/z45UEiPaE8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z45UEiPaE8c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe4c1673b", "sha": "53113f37bc535814663ce9a9a91f8e9662f0bc06", "translated_description": "", "image_url": "https://img.youtube.com/vi/z45UEiPaE8c/hqdefault.jpg", "youtube_id": "z45UEiPaE8c", "content_kind": "Video", "readable_id": "recognizing-functions--example-5"}, {"translated_youtube_id": "jQ-fS2lsslU", "relative_url": "/video/functions-as-graphs", "has_questions": false, "keywords": "Functions, As, Graphs, CC_8_F_1, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/functions-as-graphs", "duration": 575, "translated_title": "Functions as graphs", "translated_description_html": null, "id": "23592", "description_html": null, "title": "Functions as graphs", "progress_key": "v23592", "edit_slug": "edit/v/23592", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/functions-as-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.m3u8/jQ-fS2lsslU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQ-fS2lsslU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23592", "sha": "d9f5ff203f9086b22e0f92073a8cd209503a5ef2", "translated_description": null, "image_url": "https://img.youtube.com/vi/jQ-fS2lsslU/hqdefault.jpg", "youtube_id": "jQ-fS2lsslU", "content_kind": "Video", "readable_id": "functions-as-graphs"}], "twitter_url": "", "translated_description": "Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does!\n\nCommon Core Standard: 8.F.A.1", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does!\n\nCommon Core Standard: 8.F.A.1", "x_pos": 0.0, "node_slug": "cc-8th-function-intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2bd71f60", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-intro", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-intro", "slug": "cc-8th-function-intro", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1269a864e95d8476ddaba36de0f34f2dca1bb166", "standalone_title": "Introduction to functions", "y_pos": 0.0, "current_revision_key": "1269a864e95d8476ddaba36de0f34f2dca1bb166", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-notation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-notation", "translated_standalone_title": "Function notation", "translated_title": "Function notation", "gplus_url": "", "id": "x6edaec04", "old_key_name": null, "hide": false, "title": "Function notation", "child_data": [{"kind": "Video", "id": "x2ec1ec8a"}, {"kind": "Video", "id": 23642}, {"kind": "Video", "id": "x1292edd2"}, {"kind": "Video", "id": "xbdf4c75d"}, {"kind": "Video", "id": "x5860a542"}, {"kind": "Exercise", "id": 3030}], "children": [{"translated_youtube_id": "kvGsIo1TmsM", "relative_url": "/video/what-is-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-function", "duration": 477, "translated_title": "What is a function", "translated_description_html": "", "id": "x2ec1ec8a", "description_html": "", "title": "What is a function", "progress_key": "vx2ec1ec8a", "edit_slug": "edit/v/x2ec1ec8a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/what-is-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-06T21:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.m3u8/kvGsIo1TmsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kvGsIo1TmsM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2ec1ec8a", "sha": "60df92ae78690f88902f56fa7b30f6058f5ac07b", "translated_description": "", "image_url": "https://img.youtube.com/vi/kvGsIo1TmsM/hqdefault.jpg", "youtube_id": "kvGsIo1TmsM", "content_kind": "Video", "readable_id": "what-is-a-function"}, {"translated_youtube_id": "EmTvdKkAUtE", "relative_url": "/video/linear-function-graphs", "has_questions": false, "keywords": "Linear, Function, Graphs, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-function-graphs", "duration": 709, "translated_title": "Function example problems", "translated_description_html": "Linear Function Graphs", "id": "23642", "description_html": "Linear Function Graphs", "title": "Function example problems", "progress_key": "v23642", "edit_slug": "edit/v/23642", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Function Graphs", "extra_properties": null, "node_slug": "v/linear-function-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.m3u8/EmTvdKkAUtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EmTvdKkAUtE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23642", "sha": "e639606f3ed40b051c82e500126a533846314df4", "translated_description": "Linear Function Graphs", "image_url": "https://img.youtube.com/vi/EmTvdKkAUtE/hqdefault.jpg", "youtube_id": "EmTvdKkAUtE", "content_kind": "Video", "readable_id": "linear-function-graphs"}, {"translated_youtube_id": "Id6UovYjd-M", "relative_url": "/video/understanding-function-notation-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-1", "duration": 59, "translated_title": "Understanding function notation (example 1)", "translated_description_html": "", "id": "x1292edd2", "description_html": "", "title": "Understanding function notation (example 1)", "progress_key": "vx1292edd2", "edit_slug": "edit/v/x1292edd2", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.mp4/Id6UovYjd-M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.mp4/Id6UovYjd-M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.m3u8/Id6UovYjd-M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Id6UovYjd-M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1292edd2", "sha": "e07517b2b28981767286b8c412db8b53a3f03e37", "translated_description": "", "image_url": "https://img.youtube.com/vi/Id6UovYjd-M/hqdefault.jpg", "youtube_id": "Id6UovYjd-M", "content_kind": "Video", "readable_id": "understanding-function-notation-example-1"}, {"translated_youtube_id": "kzYtx_AqzjM", "relative_url": "/video/understanding-function-notation-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-2", "duration": 44, "translated_title": "Understanding function notation (example 2)", "translated_description_html": "", "id": "xbdf4c75d", "description_html": "", "title": "Understanding function notation (example 2)", "progress_key": "vxbdf4c75d", "edit_slug": "edit/v/xbdf4c75d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.mp4/kzYtx_AqzjM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.mp4/kzYtx_AqzjM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.m3u8/kzYtx_AqzjM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kzYtx_AqzjM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbdf4c75d", "sha": "7e5512dea020f83bc5bf77ce524e6b9e7ccd6615", "translated_description": "", "image_url": "https://img.youtube.com/vi/kzYtx_AqzjM/hqdefault.jpg", "youtube_id": "kzYtx_AqzjM", "content_kind": "Video", "readable_id": "understanding-function-notation-example-2"}, {"translated_youtube_id": "IXRMVcoqRRQ", "relative_url": "/video/understanding-function-notation-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-3", "duration": 133, "translated_title": "Understanding function notation (example 3)", "translated_description_html": "", "id": "x5860a542", "description_html": "", "title": "Understanding function notation (example 3)", "progress_key": "vx5860a542", "edit_slug": "edit/v/x5860a542", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.mp4/IXRMVcoqRRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.mp4/IXRMVcoqRRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.m3u8/IXRMVcoqRRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IXRMVcoqRRQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5860a542", "sha": "e59bd0a6228ee9441bba22d42a6f198885851b48", "translated_description": "", "image_url": "https://img.youtube.com/vi/IXRMVcoqRRQ/hqdefault.jpg", "youtube_id": "IXRMVcoqRRQ", "content_kind": "Video", "readable_id": "understanding-function-notation-example-3"}], "twitter_url": "", "translated_description": "f(x), g(x), etc. What does this mean? This tutorial will help.\n\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "f(x), g(x), etc. What does this mean? This tutorial will help.\n\n", "x_pos": 0.0, "node_slug": "cc-8th-function-notation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6edaec04", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-notation", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-function-notation", "slug": "cc-8th-function-notation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2561c4590b977438c7d2c8d21db92fede8cd5ab8", "standalone_title": "Function notation", "y_pos": 0.0, "current_revision_key": "2561c4590b977438c7d2c8d21db92fede8cd5ab8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/analyzing-functions-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/analyzing-functions-algebra", "translated_standalone_title": "Analyzing linear functions", "translated_title": "Analyzing linear functions", "gplus_url": "", "id": "x49fc3e15", "old_key_name": null, "hide": false, "title": "Analyzing linear functions", "child_data": [{"kind": "Video", "id": "x198644d9"}, {"kind": "Video", "id": "xfd98bb7a"}, {"kind": "Video", "id": "x63490941"}, {"kind": "Exercise", "id": "xeaa9303e"}, {"kind": "Video", "id": "x97976348"}, {"kind": "Video", "id": "x77591b48"}, {"kind": "Exercise", "id": "x3ba6829c"}, {"kind": "Video", "id": "x6b95f0e9"}, {"kind": "Video", "id": "xda657261"}, {"kind": "Video", "id": "x09dee3a1"}, {"kind": "Exercise", "id": "x6ac96cbe"}, {"kind": "Video", "id": "x07d36a31"}, {"kind": "Video", "id": "x23521263"}, {"kind": "Video", "id": "x0a5f6009"}, {"kind": "Exercise", "id": "x73fba34a"}], "children": [{"translated_youtube_id": "fZO-JylMFqY", "relative_url": "/video/comparing-features-of-functions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-1", "duration": 143, "translated_title": "Comparing linear functions 1", "translated_description_html": "", "id": "x198644d9", "description_html": "", "title": "Comparing linear functions 1", "progress_key": "vx198644d9", "edit_slug": "edit/v/x198644d9", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fZO-JylMFqY.mp4/fZO-JylMFqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fZO-JylMFqY.mp4/fZO-JylMFqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fZO-JylMFqY.m3u8/fZO-JylMFqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fZO-JylMFqY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx198644d9", "sha": "5bdbcb2b2d3f3c1b632bbb0b07145f3abfbc95fa", "translated_description": "", "image_url": "https://img.youtube.com/vi/fZO-JylMFqY/hqdefault.jpg", "youtube_id": "fZO-JylMFqY", "content_kind": "Video", "readable_id": "comparing-features-of-functions-1"}, {"translated_youtube_id": "wl2iQAuQl7Y", "relative_url": "/video/comparing-features-of-functions-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-3", "duration": 156, "translated_title": "Comparing linear functions 2", "translated_description_html": "", "id": "xfd98bb7a", "description_html": "", "title": "Comparing linear functions 2", "progress_key": "vxfd98bb7a", "edit_slug": "edit/v/xfd98bb7a", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wl2iQAuQl7Y.mp4/wl2iQAuQl7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wl2iQAuQl7Y.mp4/wl2iQAuQl7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wl2iQAuQl7Y.m3u8/wl2iQAuQl7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wl2iQAuQl7Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfd98bb7a", "sha": "110557eeb3e29917298330c52742614b5fc6860f", "translated_description": "", "image_url": "https://img.youtube.com/vi/wl2iQAuQl7Y/hqdefault.jpg", "youtube_id": "wl2iQAuQl7Y", "content_kind": "Video", "readable_id": "comparing-features-of-functions-3"}, {"translated_youtube_id": "QYoNHOjr7Rg", "relative_url": "/video/comparing-features-of-functions-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-5", "duration": 220, "translated_title": "Comparing linear functions 3", "translated_description_html": "", "id": "x63490941", "description_html": "", "title": "Comparing linear functions 3", "progress_key": "vx63490941", "edit_slug": "edit/v/x63490941", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QYoNHOjr7Rg.mp4/QYoNHOjr7Rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QYoNHOjr7Rg.mp4/QYoNHOjr7Rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QYoNHOjr7Rg.m3u8/QYoNHOjr7Rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QYoNHOjr7Rg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx63490941", "sha": "49d74dafa4a867fad6e84f287dd8aef24c90e2b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/QYoNHOjr7Rg/hqdefault.jpg", "youtube_id": "QYoNHOjr7Rg", "content_kind": "Video", "readable_id": "comparing-features-of-functions-5"}, {"translated_youtube_id": "qo5jU_V6JVo", "relative_url": "/video/interpreting-features-of-linear-functions-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-features-of-linear-functions-example", "duration": 163, "translated_title": "Interpreting features of linear functions example", "translated_description_html": "", "id": "x97976348", "description_html": "", "title": "Interpreting features of linear functions example", "progress_key": "vx97976348", "edit_slug": "edit/v/x97976348", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-features-of-linear-functions-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T19:43:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qo5jU_V6JVo.mp4/qo5jU_V6JVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qo5jU_V6JVo.mp4/qo5jU_V6JVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qo5jU_V6JVo.m3u8/qo5jU_V6JVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qo5jU_V6JVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx97976348", "sha": "1423b1046e34e0869a0cb325891935250e52e8f1", "translated_description": "", "image_url": "https://img.youtube.com/vi/qo5jU_V6JVo/hqdefault.jpg", "youtube_id": "qo5jU_V6JVo", "content_kind": "Video", "readable_id": "interpreting-features-of-linear-functions-example"}, {"translated_youtube_id": "eLUmpX_h9sw", "relative_url": "/video/interpreting-features-of-linear-functions-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-features-of-linear-functions-example-2", "duration": 358, "translated_title": "Interpreting features of linear functions example 2", "translated_description_html": "", "id": "x77591b48", "description_html": "", "title": "Interpreting features of linear functions example 2", "progress_key": "vx77591b48", "edit_slug": "edit/v/x77591b48", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-features-of-linear-functions-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T19:43:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eLUmpX_h9sw.mp4/eLUmpX_h9sw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eLUmpX_h9sw.mp4/eLUmpX_h9sw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eLUmpX_h9sw.m3u8/eLUmpX_h9sw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eLUmpX_h9sw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx77591b48", "sha": "3b4ffff3a918ff61001475088f21d1d0bcaa3c44", "translated_description": "", "image_url": "https://img.youtube.com/vi/eLUmpX_h9sw/hqdefault.jpg", "youtube_id": "eLUmpX_h9sw", "content_kind": "Video", "readable_id": "interpreting-features-of-linear-functions-example-2"}, {"translated_youtube_id": "MKErxh58RME", "relative_url": "/video/comparing-features-of-functions-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-2", "duration": 284, "translated_title": "Comparing linear functions applications 1", "translated_description_html": "", "id": "x6b95f0e9", "description_html": "", "title": "Comparing linear functions applications 1", "progress_key": "vx6b95f0e9", "edit_slug": "edit/v/x6b95f0e9", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MKErxh58RME.mp4/MKErxh58RME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MKErxh58RME.mp4/MKErxh58RME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MKErxh58RME.m3u8/MKErxh58RME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MKErxh58RME&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6b95f0e9", "sha": "8932c4e3c696209d75ffa7b2e95a419b0c08eda0", "translated_description": "", "image_url": "https://img.youtube.com/vi/MKErxh58RME/hqdefault.jpg", "youtube_id": "MKErxh58RME", "content_kind": "Video", "readable_id": "comparing-features-of-functions-2"}, {"translated_youtube_id": "NOsnG2DkGKM", "relative_url": "/video/comparing-features-of-functions-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-4", "duration": 224, "translated_title": "Comparing linear functions applications 2", "translated_description_html": "", "id": "xda657261", "description_html": "", "title": "Comparing linear functions applications 2", "progress_key": "vxda657261", "edit_slug": "edit/v/xda657261", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NOsnG2DkGKM.mp4/NOsnG2DkGKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NOsnG2DkGKM.mp4/NOsnG2DkGKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NOsnG2DkGKM.m3u8/NOsnG2DkGKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NOsnG2DkGKM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxda657261", "sha": "927802097ab5456b204438ec8c5d96d1895e15be", "translated_description": "", "image_url": "https://img.youtube.com/vi/NOsnG2DkGKM/hqdefault.jpg", "youtube_id": "NOsnG2DkGKM", "content_kind": "Video", "readable_id": "comparing-features-of-functions-4"}, {"translated_youtube_id": "kJIqoTw_Og8", "relative_url": "/video/comparing-features-of-functions-6", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-6", "duration": 226, "translated_title": "Comparing linear functions applications 3", "translated_description_html": "", "id": "x09dee3a1", "description_html": "", "title": "Comparing linear functions applications 3", "progress_key": "vx09dee3a1", "edit_slug": "edit/v/x09dee3a1", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kJIqoTw_Og8.mp4/kJIqoTw_Og8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kJIqoTw_Og8.mp4/kJIqoTw_Og8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kJIqoTw_Og8.m3u8/kJIqoTw_Og8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kJIqoTw_Og8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx09dee3a1", "sha": "43ba556e63c66d1ac1d3bf1fee240945036d2696", "translated_description": "", "image_url": "https://img.youtube.com/vi/kJIqoTw_Og8/hqdefault.jpg", "youtube_id": "kJIqoTw_Og8", "content_kind": "Video", "readable_id": "comparing-features-of-functions-6"}, {"translated_youtube_id": "qnvgI8co7BI", "relative_url": "/video/constructing-a-linear-function-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-a-linear-function-word-problem", "duration": 338, "translated_title": "Constructing a linear function word problem", "translated_description_html": "", "id": "x07d36a31", "description_html": "", "title": "Constructing a linear function word problem", "progress_key": "vx07d36a31", "edit_slug": "edit/v/x07d36a31", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-a-linear-function-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T01:23:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qnvgI8co7BI.mp4/qnvgI8co7BI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qnvgI8co7BI.mp4/qnvgI8co7BI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qnvgI8co7BI.m3u8/qnvgI8co7BI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qnvgI8co7BI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx07d36a31", "sha": "ca09da98f64f8bee522cd708543aac4671406ee8", "translated_description": "", "image_url": "https://img.youtube.com/vi/qnvgI8co7BI/hqdefault.jpg", "youtube_id": "qnvgI8co7BI", "content_kind": "Video", "readable_id": "constructing-a-linear-function-word-problem"}, {"translated_youtube_id": "gAAzv_cvsG8", "relative_url": "/video/constructing-and-interpreting-a-linear-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-and-interpreting-a-linear-function", "duration": 391, "translated_title": "Constructing and interpreting a linear function", "translated_description_html": "", "id": "x23521263", "description_html": "", "title": "Constructing and interpreting a linear function", "progress_key": "vx23521263", "edit_slug": "edit/v/x23521263", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-and-interpreting-a-linear-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T01:23:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gAAzv_cvsG8.mp4/gAAzv_cvsG8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gAAzv_cvsG8.mp4/gAAzv_cvsG8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gAAzv_cvsG8.m3u8/gAAzv_cvsG8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gAAzv_cvsG8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx23521263", "sha": "465709b4fb13411a410c0961d4583d34f8988930", "translated_description": "", "image_url": "https://img.youtube.com/vi/gAAzv_cvsG8/hqdefault.jpg", "youtube_id": "gAAzv_cvsG8", "content_kind": "Video", "readable_id": "constructing-and-interpreting-a-linear-function"}, {"translated_youtube_id": "C9Rzb_OFuhk", "relative_url": "/video/constructing-and-interpreting-graphs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-and-interpreting-graphs", "duration": 86, "translated_title": "Constructing linear graphs", "translated_description_html": "", "id": "x0a5f6009", "description_html": "", "title": "Constructing linear graphs", "progress_key": "vx0a5f6009", "edit_slug": "edit/v/x0a5f6009", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-and-interpreting-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-12T17:08:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C9Rzb_OFuhk.mp4/C9Rzb_OFuhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C9Rzb_OFuhk.mp4/C9Rzb_OFuhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C9Rzb_OFuhk.m3u8/C9Rzb_OFuhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C9Rzb_OFuhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0a5f6009", "sha": "cb3eaf1954f800f0f7f1d6e06956e4cbda302ab2", "translated_description": "", "image_url": "https://img.youtube.com/vi/C9Rzb_OFuhk/hqdefault.jpg", "youtube_id": "C9Rzb_OFuhk", "content_kind": "Video", "readable_id": "constructing-and-interpreting-graphs"}], "twitter_url": "", "translated_description": "Linear functions show up throughout life (even though you might not realize it). This tutorial will have you thinking much deeper about what a linear function means and various ways to interpret one. Like always, pause the video and try the problem before Sal does. Then test your understanding by practicing the problems at the end of the tutorial.\n\nCommon Core Standards: 8.F.A.2, 8.F.A.4, 8.F.A.5", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Linear functions show up throughout life (even though you might not realize it). This tutorial will have you thinking much deeper about what a linear function means and various ways to interpret one. Like always, pause the video and try the problem before Sal does. Then test your understanding by practicing the problems at the end of the tutorial.\n\nCommon Core Standards: 8.F.A.2, 8.F.A.4, 8.F.A.5", "x_pos": 0.0, "node_slug": "analyzing-functions-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T17:12:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax49fc3e15", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/analyzing-functions-algebra", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/analyzing-functions-algebra", "slug": "analyzing-functions-algebra", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "556efcdd607a14b9bb9c52eb0f9a4f632106a4fd", "standalone_title": "Analyzing linear functions", "y_pos": 0.0, "current_revision_key": "556efcdd607a14b9bb9c52eb0f9a4f632106a4fd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/linear-nonlinear-functions-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/linear-nonlinear-functions-tut", "translated_standalone_title": "Linear and nonlinear functions", "translated_title": "Linear and nonlinear functions", "gplus_url": "", "id": "x878ca804", "old_key_name": null, "hide": false, "title": "Linear and nonlinear functions", "child_data": [{"kind": "Video", "id": 26798}, {"kind": "Video", "id": "x7f5ef1b0"}, {"kind": "Video", "id": "xf9937022"}, {"kind": "Video", "id": "xa6a89fbd"}, {"kind": "Exercise", "id": "xddc93434"}], "children": [{"translated_youtube_id": "AZroE4fJqtQ", "relative_url": "/video/recognizing-linear-functions", "has_questions": false, "keywords": "U03_L2_T5_we1, Recognizing, Linear, Functions, CC_8_F_3, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/recognizing-linear-functions", "duration": 241, "translated_title": "Recognizing linear functions", "translated_description_html": "Recognizing Linear Functions", "id": "26798", "description_html": "Recognizing Linear Functions", "title": "Recognizing linear functions", "progress_key": "v26798", "edit_slug": "edit/v/26798", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Recognizing Linear Functions", "extra_properties": null, "node_slug": "v/recognizing-linear-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.m3u8/AZroE4fJqtQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AZroE4fJqtQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26798", "sha": "88733f3a4716687fe25432cb9334bf503a539d61", "translated_description": "Recognizing Linear Functions", "image_url": "https://img.youtube.com/vi/AZroE4fJqtQ/hqdefault.jpg", "youtube_id": "AZroE4fJqtQ", "content_kind": "Video", "readable_id": "recognizing-linear-functions"}, {"translated_youtube_id": "Pt-Tn6L60-o", "relative_url": "/video/linear-and-nonlinear-functions-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/linear-and-nonlinear-functions-example-3", "duration": 146, "translated_title": "Linear and nonlinear functions (example 1)", "translated_description_html": "", "id": "x7f5ef1b0", "description_html": "", "title": "Linear and nonlinear functions (example 1)", "progress_key": "vx7f5ef1b0", "edit_slug": "edit/v/x7f5ef1b0", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/linear-and-nonlinear-functions-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pt-Tn6L60-o.mp4/Pt-Tn6L60-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pt-Tn6L60-o.mp4/Pt-Tn6L60-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pt-Tn6L60-o.m3u8/Pt-Tn6L60-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pt-Tn6L60-o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7f5ef1b0", "sha": "820305aa4e64698c92a80bb43c8221443cd101ec", "translated_description": "", "image_url": "https://img.youtube.com/vi/Pt-Tn6L60-o/hqdefault.jpg", "youtube_id": "Pt-Tn6L60-o", "content_kind": "Video", "readable_id": "linear-and-nonlinear-functions-example-3"}, {"translated_youtube_id": "OWPVZoxNe-U", "relative_url": "/video/linear-and-nonlinear-functions-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/linear-and-nonlinear-functions-example-1", "duration": 215, "translated_title": "Linear and nonlinear functions (example 2)", "translated_description_html": "", "id": "xf9937022", "description_html": "", "title": "Linear and nonlinear functions (example 2)", "progress_key": "vxf9937022", "edit_slug": "edit/v/xf9937022", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/linear-and-nonlinear-functions-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OWPVZoxNe-U.mp4/OWPVZoxNe-U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OWPVZoxNe-U.mp4/OWPVZoxNe-U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OWPVZoxNe-U.m3u8/OWPVZoxNe-U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OWPVZoxNe-U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf9937022", "sha": "bfc5174629c3f565f0e72705a79d46b93fc8ea4b", "translated_description": "", "image_url": "https://img.youtube.com/vi/OWPVZoxNe-U/hqdefault.jpg", "youtube_id": "OWPVZoxNe-U", "content_kind": "Video", "readable_id": "linear-and-nonlinear-functions-example-1"}, {"translated_youtube_id": "HUnF0mZmMKc", "relative_url": "/video/linear-and-nonlinear-functions-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/linear-and-nonlinear-functions-example-2", "duration": 133, "translated_title": "Linear and nonlinear functions (example 3)", "translated_description_html": "", "id": "xa6a89fbd", "description_html": "", "title": "Linear and nonlinear functions (example 3)", "progress_key": "vxa6a89fbd", "edit_slug": "edit/v/xa6a89fbd", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/linear-and-nonlinear-functions-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HUnF0mZmMKc.mp4/HUnF0mZmMKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HUnF0mZmMKc.mp4/HUnF0mZmMKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HUnF0mZmMKc.m3u8/HUnF0mZmMKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HUnF0mZmMKc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa6a89fbd", "sha": "d313a515ba07817f221ced859cfb94c75e50b008", "translated_description": "", "image_url": "https://img.youtube.com/vi/HUnF0mZmMKc/hqdefault.jpg", "youtube_id": "HUnF0mZmMKc", "content_kind": "Video", "readable_id": "linear-and-nonlinear-functions-example-2"}], "twitter_url": "", "translated_description": "Not every relationship in the universe can be represented by a line (in fact, most can't be). We call these \"nonlinear\". In this tutorial, you'll learn to tell the difference between a linear and nonlinear function!\n\nHave fun!\n\nCommon Core Standare: 8.F.A.3", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Not every relationship in the universe can be represented by a line (in fact, most can't be). We call these \"nonlinear\". In this tutorial, you'll learn to tell the difference between a linear and nonlinear function!\n\nHave fun!\n\nCommon Core Standare: 8.F.A.3", "x_pos": 0.0, "node_slug": "linear-nonlinear-functions-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T17:12:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax878ca804", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions/linear-nonlinear-functions-tut", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions/linear-nonlinear-functions-tut", "slug": "linear-nonlinear-functions-tut", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4b89f75c5f0558304dc38076a1864a87a9f97a50", "standalone_title": "Linear and nonlinear functions", "y_pos": 0.0, "current_revision_key": "4b89f75c5f0558304dc38076a1864a87a9f97a50", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-relationships-functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc44ef069", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-relationships-functions", "extended_slug": "math/cc-eighth-grade-math/cc-8th-relationships-functions", "slug": "cc-8th-relationships-functions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d2f528a766538c177f7f8fa12b3b8eef2c521b65", "standalone_title": "Relationships and functions", "y_pos": 0.0, "current_revision_key": "d2f528a766538c177f7f8fa12b3b8eef2c521b65", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic", "translated_standalone_title": "Systems of equations", "translated_title": "Systems of equations", "gplus_url": "", "id": "x71149dce", "old_key_name": null, "hide": false, "title": "Systems of equations", "child_data": [{"kind": "Topic", "id": "xaec8831c"}, {"kind": "Topic", "id": "x71f35e0c"}, {"kind": "Topic", "id": "xa907d949"}, {"kind": "Topic", "id": "x0a5283e0"}, {"kind": "Topic", "id": "xd5861b91"}, {"kind": "Topic", "id": "x0da2f73f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview", "translated_standalone_title": "System for solving the King's problems", "translated_title": "System for solving the King's problems", "gplus_url": "", "id": "xaec8831c", "old_key_name": null, "hide": false, "title": "System for solving the King's problems", "child_data": [{"kind": "Video", "id": 1095856196}, {"kind": "Video", "id": 1095783741}, {"kind": "Video", "id": 1112700719}, {"kind": "Exercise", "id": 357485849}, {"kind": "Video", "id": 1112847811}, {"kind": "Video", "id": 1114711148}, {"kind": "Video", "id": 1112791956}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 1115141430}, {"kind": "Exercise", "id": 426688097}, {"kind": "Video", "id": 1115394533}, {"kind": "Video", "id": 1116433408}, {"kind": "Exercise", "id": 426633747}, {"kind": "Exercise", "id": 3017}, {"kind": "Exercise", "id": 449948800}], "children": [{"translated_youtube_id": "OcNt-36QKu8", "relative_url": "/video/trolls--tolls--and-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trolls--tolls--and-systems-of-equations", "duration": 411, "translated_title": "Trolls, tolls, and systems of equations", "translated_description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "id": "1095856196", "description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "title": "Trolls, tolls, and systems of equations", "progress_key": "v1095856196", "edit_slug": "edit/v/1095856196", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "extra_properties": null, "node_slug": "v/trolls--tolls--and-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-19T16:56:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.m3u8/OcNt-36QKu8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OcNt-36QKu8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095856196", "sha": "7c59d9f6f750f45278a5a799e7a28327f8ecae32", "translated_description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "image_url": "https://img.youtube.com/vi/OcNt-36QKu8/hqdefault.jpg", "youtube_id": "OcNt-36QKu8", "content_kind": "Video", "readable_id": "trolls--tolls--and-systems-of-equations"}, {"translated_youtube_id": "H-HfmyUzPw8", "relative_url": "/video/solving-the-troll-riddle-visually", "has_questions": false, "keywords": "simultaneous", "ka_url": "http://www.khanacademy.org/video/solving-the-troll-riddle-visually", "duration": 341, "translated_title": "Solving the troll riddle visually", "translated_description_html": "Solving the system of equations visually. Now we can save the prince/princess", "id": "1095783741", "description_html": "Solving the system of equations visually. Now we can save the prince/princess", "title": "Solving the troll riddle visually", "progress_key": "v1095783741", "edit_slug": "edit/v/1095783741", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving the system of equations visually. Now we can save the prince/princess", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-the-troll-riddle-visually", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-19T17:38:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.m3u8/H-HfmyUzPw8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-HfmyUzPw8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095783741", "sha": "295ce3a4534c203cc6b10187c8fcd12d7d475d99", "translated_description": "Solving the system of equations visually. Now we can save the prince/princess", "image_url": "https://img.youtube.com/vi/H-HfmyUzPw8/hqdefault.jpg", "youtube_id": "H-HfmyUzPw8", "content_kind": "Video", "readable_id": "solving-the-troll-riddle-visually"}, {"translated_youtube_id": "VhH2nEDCd68", "relative_url": "/video/solving-systems-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-graphically", "duration": 142, "translated_title": "Solving systems graphically", "translated_description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "id": "1112700719", "description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "title": "Solving systems graphically", "progress_key": "v1112700719", "edit_slug": "edit/v/1112700719", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "extra_properties": null, "node_slug": "v/solving-systems-graphically", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T16:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.m3u8/VhH2nEDCd68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhH2nEDCd68&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112700719", "sha": "8922246854322fdbe031bcf45f26a238c58fff5f", "translated_description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "image_url": "https://img.youtube.com/vi/VhH2nEDCd68/hqdefault.jpg", "youtube_id": "VhH2nEDCd68", "content_kind": "Video", "readable_id": "solving-systems-graphically"}, {"translated_youtube_id": "xCIHAjsZCE0", "relative_url": "/video/king-s-cupcakes---solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/king-s-cupcakes---solving-systems-by-elimination", "duration": 540, "translated_title": "King's cupcakes: Solving systems by elimination", "translated_description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "id": "1112847811", "description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "title": "King's cupcakes: Solving systems by elimination", "progress_key": "v1112847811", "edit_slug": "edit/v/1112847811", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "extra_properties": null, "node_slug": "v/king-s-cupcakes---solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T17:49:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.m3u8/xCIHAjsZCE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xCIHAjsZCE0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112847811", "sha": "2cf74a83a28ebf02909e125fbd327fc375b3900d", "translated_description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "image_url": "https://img.youtube.com/vi/xCIHAjsZCE0/hqdefault.jpg", "youtube_id": "xCIHAjsZCE0", "content_kind": "Video", "readable_id": "king-s-cupcakes---solving-systems-by-elimination"}, {"translated_youtube_id": "VuJEidLhY1E", "relative_url": "/video/how-many-bags-of-potato-chips-do-people-eat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-bags-of-potato-chips-do-people-eat", "duration": 561, "translated_title": "How many bags of potato chips do people eat?", "translated_description_html": "Using elimination to solve a system of equations", "id": "1114711148", "description_html": "Using elimination to solve a system of equations", "title": "How many bags of potato chips do people eat?", "progress_key": "v1114711148", "edit_slug": "edit/v/1114711148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using elimination to solve a system of equations", "extra_properties": null, "node_slug": "v/how-many-bags-of-potato-chips-do-people-eat", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-30T16:59:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.m3u8/VuJEidLhY1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VuJEidLhY1E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1114711148", "sha": "19ebfa03b68a958d849f765499479678a83a9024", "translated_description": "Using elimination to solve a system of equations", "image_url": "https://img.youtube.com/vi/VuJEidLhY1E/hqdefault.jpg", "youtube_id": "VuJEidLhY1E", "content_kind": "Video", "readable_id": "how-many-bags-of-potato-chips-do-people-eat"}, {"translated_youtube_id": "QrHsibKBVwI", "relative_url": "/video/simple-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-elimination-practice", "duration": 258, "translated_title": "Simple elimination practice", "translated_description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "id": "1112791956", "description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "title": "Simple elimination practice", "progress_key": "v1112791956", "edit_slug": "edit/v/1112791956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "extra_properties": null, "node_slug": "v/simple-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T18:56:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.m3u8/QrHsibKBVwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QrHsibKBVwI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112791956", "sha": "f1394ea93b8c1136bff61990cccd4bdc9c88ab83", "translated_description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "image_url": "https://img.youtube.com/vi/QrHsibKBVwI/hqdefault.jpg", "youtube_id": "QrHsibKBVwI", "content_kind": "Video", "readable_id": "simple-elimination-practice"}, {"translated_youtube_id": "u5dPUHjagSI", "relative_url": "/video/systems-with-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-with-elimination-practice", "duration": 331, "translated_title": "Systems with elimination practice", "translated_description_html": "Example of solving systems of equations with elimination", "id": "1115141430", "description_html": "Example of solving systems of equations with elimination", "title": "Systems with elimination practice", "progress_key": "v1115141430", "edit_slug": "edit/v/1115141430", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving systems of equations with elimination", "extra_properties": null, "node_slug": "v/systems-with-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:04:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.m3u8/u5dPUHjagSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5dPUHjagSI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115141430", "sha": "d587303c8bbf9ffc00cd4f31955536c79ea1642c", "translated_description": "Example of solving systems of equations with elimination", "image_url": "https://img.youtube.com/vi/u5dPUHjagSI/hqdefault.jpg", "youtube_id": "u5dPUHjagSI", "content_kind": "Video", "readable_id": "systems-with-elimination-practice"}, {"translated_youtube_id": "2EwPpga_XPw", "relative_url": "/video/solving-systems-with-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-with-substitution", "duration": 321, "translated_title": "Talking bird solves systems with substitution", "translated_description_html": "Solving systems of equations with substitution.", "id": "1115394533", "description_html": "Solving systems of equations with substitution.", "title": "Talking bird solves systems with substitution", "progress_key": "v1115394533", "edit_slug": "edit/v/1115394533", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving systems of equations with substitution.", "extra_properties": null, "node_slug": "v/solving-systems-with-substitution", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-10-31T00:46:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.m3u8/2EwPpga_XPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2EwPpga_XPw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115394533", "sha": "c4374f3164b36dcedf041d62e76da961257d895a", "translated_description": "Solving systems of equations with substitution.", "image_url": "https://img.youtube.com/vi/2EwPpga_XPw/hqdefault.jpg", "youtube_id": "2EwPpga_XPw", "content_kind": "Video", "readable_id": "solving-systems-with-substitution"}, {"translated_youtube_id": "GWZKz4F9hWM", "relative_url": "/video/practice-using-substitution-for-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-using-substitution-for-systems", "duration": 261, "translated_title": "Practice using substitution for systems", "translated_description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "id": "1116433408", "description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "title": "Practice using substitution for systems", "progress_key": "v1116433408", "edit_slug": "edit/v/1116433408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "extra_properties": null, "node_slug": "v/practice-using-substitution-for-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:47:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.m3u8/GWZKz4F9hWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GWZKz4F9hWM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116433408", "sha": "7459e35936cb6b9d045fde6091a4c8a75eb28e02", "translated_description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "image_url": "https://img.youtube.com/vi/GWZKz4F9hWM/hqdefault.jpg", "youtube_id": "GWZKz4F9hWM", "content_kind": "Video", "readable_id": "practice-using-substitution-for-systems"}], "twitter_url": "", "translated_description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!\n\nIf you want more examples, feel free to look at the other tutorials in this topic.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!\n\nIf you want more examples, feel free to look at the other tutorials in this topic.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c", "x_pos": 0.0, "node_slug": "cc-8th-systems-overview", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaec8831c", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview", "slug": "cc-8th-systems-overview", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de39a8e93a11a8a7e7346cda160b5e72c9ef96f9", "standalone_title": "System for solving the King's problems", "y_pos": 0.0, "current_revision_key": "de39a8e93a11a8a7e7346cda160b5e72c9ef96f9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically", "translated_standalone_title": "Solving linear systems graphically", "translated_title": "Solving linear systems graphically", "gplus_url": "", "id": "x71f35e0c", "old_key_name": null, "hide": false, "title": "Solving linear systems graphically", "child_data": [{"kind": "Video", "id": 23674}, {"kind": "Video", "id": 33752762}, {"kind": "Video", "id": 33752761}, {"kind": "Video", "id": 33752765}, {"kind": "Video", "id": 26876}, {"kind": "Video", "id": 26877}, {"kind": "Video", "id": 1112700719}, {"kind": "Exercise", "id": 357485849}], "children": [{"translated_youtube_id": "5a6zpfl50go", "relative_url": "/video/solving-linear-systems-by-graphing", "has_questions": false, "keywords": "Solving, Linear, Systems, by, Graphing, CC_8_EE_8_a, CC_39336_A-REI_11, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-linear-systems-by-graphing", "duration": 510, "translated_title": "Solving linear systems by graphing", "translated_description_html": "

Solving Linear Systems by Graphing<\/p>\n", "id": "23674", "description_html": "

Solving Linear Systems by Graphing<\/p>\n", "title": "Solving linear systems by graphing", "progress_key": "v23674", "edit_slug": "edit/v/23674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Linear Systems by Graphing\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-linear-systems-by-graphing", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.m3u8/5a6zpfl50go.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5a6zpfl50go&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23674", "sha": "8c90553c083f7aa7d1be0bcb00021122e2b68704", "translated_description": "Solving Linear Systems by Graphing\n", "image_url": "https://img.youtube.com/vi/5a6zpfl50go/hqdefault.jpg", "youtube_id": "5a6zpfl50go", "content_kind": "Video", "readable_id": "solving-linear-systems-by-graphing"}, {"translated_youtube_id": "SkMNREAMNvc", "relative_url": "/video/testing-a-solution-for-a-system-of-equations", "has_questions": false, "keywords": "u14_l1_t1_we2, Testing, solution, for, system, of, equations, CC_8_EE_8_a", "ka_url": "http://www.khanacademy.org/video/testing-a-solution-for-a-system-of-equations", "duration": 158, "translated_title": "Testing a solution for a system of equations", "translated_description_html": "Testing a solution for a system of equations", "id": "33752762", "description_html": "Testing a solution for a system of equations", "title": "Testing a solution for a system of equations", "progress_key": "v33752762", "edit_slug": "edit/v/33752762", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing a solution for a system of equations", "extra_properties": null, "node_slug": "v/testing-a-solution-for-a-system-of-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.mp4/SkMNREAMNvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.mp4/SkMNREAMNvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.m3u8/SkMNREAMNvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SkMNREAMNvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752762", "sha": "7564e6380c530704f04e2b48693bc25c6e445662", "translated_description": "Testing a solution for a system of equations", "image_url": "https://img.youtube.com/vi/SkMNREAMNvc/hqdefault.jpg", "youtube_id": "SkMNREAMNvc", "content_kind": "Video", "readable_id": "testing-a-solution-for-a-system-of-equations"}, {"translated_youtube_id": "MRAIgJmRmag", "relative_url": "/video/graphings-systems-of-equations", "has_questions": false, "keywords": "u14_l1_t1_we1, Graphings, Systems, of, Equations, CC_39336_A-REI_6, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphings-systems-of-equations", "duration": 395, "translated_title": "Graphing systems of equations", "translated_description_html": "Graphing Systems of Equations", "id": "33752761", "description_html": "Graphing Systems of Equations", "title": "Graphing systems of equations", "progress_key": "v33752761", "edit_slug": "edit/v/33752761", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Systems of Equations", "extra_properties": null, "node_slug": "v/graphings-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.m3u8/MRAIgJmRmag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MRAIgJmRmag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752761", "sha": "7f362329949512e2de7f654110c9c8a79f23a8d5", "translated_description": "Graphing Systems of Equations", "image_url": "https://img.youtube.com/vi/MRAIgJmRmag/hqdefault.jpg", "youtube_id": "MRAIgJmRmag", "content_kind": "Video", "readable_id": "graphings-systems-of-equations"}, {"translated_youtube_id": "3mimxluSVBo", "relative_url": "/video/graphical-systems-application-problem", "has_questions": false, "keywords": "u14_l1_t1_we5, Graphical, Systems, Application, Problem, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphical-systems-application-problem", "duration": 319, "translated_title": "Graphical systems application problem", "translated_description_html": "Graphical Systems Application Problem", "id": "33752765", "description_html": "Graphical Systems Application Problem", "title": "Graphical systems application problem", "progress_key": "v33752765", "edit_slug": "edit/v/33752765", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphical Systems Application Problem", "extra_properties": null, "node_slug": "v/graphical-systems-application-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.mp4/3mimxluSVBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.mp4/3mimxluSVBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.m3u8/3mimxluSVBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3mimxluSVBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752765", "sha": "6566f56449f689f8174f73f57b982d06efe2d2f1", "translated_description": "Graphical Systems Application Problem", "image_url": "https://img.youtube.com/vi/3mimxluSVBo/hqdefault.jpg", "youtube_id": "3mimxluSVBo", "content_kind": "Video", "readable_id": "graphical-systems-application-problem"}, {"translated_youtube_id": "BNHLzEv6Mjg", "relative_url": "/video/solving-systems-by-graphing-2", "has_questions": false, "keywords": "U06_L1_T1_we2, Solving, systems, by, graphing, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-graphing-2", "duration": 206, "translated_title": "Example 2: Graphically solving systems", "translated_description_html": "Solving systems by graphing 2", "id": "26876", "description_html": "Solving systems by graphing 2", "title": "Example 2: Graphically solving systems", "progress_key": "v26876", "edit_slug": "edit/v/26876", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by graphing 2", "extra_properties": null, "node_slug": "v/solving-systems-by-graphing-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.mp4/BNHLzEv6Mjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.mp4/BNHLzEv6Mjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.m3u8/BNHLzEv6Mjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BNHLzEv6Mjg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26876", "sha": "3b3608ec8b9babb576876dadd2a73a0218101ae5", "translated_description": "Solving systems by graphing 2", "image_url": "https://img.youtube.com/vi/BNHLzEv6Mjg/hqdefault.jpg", "youtube_id": "BNHLzEv6Mjg", "content_kind": "Video", "readable_id": "solving-systems-by-graphing-2"}, {"translated_youtube_id": "F5Nb6cIRZLU", "relative_url": "/video/solving-systems-by-graphing-3", "has_questions": false, "keywords": "U06_L1_T1_we3, Solving, systems, by, graphing, CC_8_EE_7_a, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-graphing-3", "duration": 308, "translated_title": "Example 3: Graphically solving systems", "translated_description_html": "Solving systems by graphing 3", "id": "26877", "description_html": "Solving systems by graphing 3", "title": "Example 3: Graphically solving systems", "progress_key": "v26877", "edit_slug": "edit/v/26877", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by graphing 3", "extra_properties": null, "node_slug": "v/solving-systems-by-graphing-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.mp4/F5Nb6cIRZLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.mp4/F5Nb6cIRZLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.m3u8/F5Nb6cIRZLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F5Nb6cIRZLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26877", "sha": "2ebbde3eb37fa1806cf466acf756f76987d36231", "translated_description": "Solving systems by graphing 3", "image_url": "https://img.youtube.com/vi/F5Nb6cIRZLU/hqdefault.jpg", "youtube_id": "F5Nb6cIRZLU", "content_kind": "Video", "readable_id": "solving-systems-by-graphing-3"}, {"translated_youtube_id": "VhH2nEDCd68", "relative_url": "/video/solving-systems-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-graphically", "duration": 142, "translated_title": "Solving systems graphically", "translated_description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "id": "1112700719", "description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "title": "Solving systems graphically", "progress_key": "v1112700719", "edit_slug": "edit/v/1112700719", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "extra_properties": null, "node_slug": "v/solving-systems-graphically", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T16:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.m3u8/VhH2nEDCd68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhH2nEDCd68&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112700719", "sha": "8922246854322fdbe031bcf45f26a238c58fff5f", "translated_description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "image_url": "https://img.youtube.com/vi/VhH2nEDCd68/hqdefault.jpg", "youtube_id": "VhH2nEDCd68", "content_kind": "Video", "readable_id": "solving-systems-graphically"}], "twitter_url": "", "translated_description": "We already know that we can represent the set of all x-y pairs that satisfy a linear equation as a line. If there is a point where two of these lines intersect, then the x-y pair corresponding to that point must satisfy both equations. \n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We already know that we can represent the set of all x-y pairs that satisfy a linear equation as a line. If there is a point where two of these lines intersect, then the x-y pair corresponding to that point must satisfy both equations. \n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a", "x_pos": 0.0, "node_slug": "cc-8th-systems-graphically", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax71f35e0c", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically", "slug": "cc-8th-systems-graphically", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b2615d8e6253776393d7e2e24ea41e8fcd684280", "standalone_title": "Solving linear systems graphically", "y_pos": 0.0, "current_revision_key": "b2615d8e6253776393d7e2e24ea41e8fcd684280", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution", "translated_standalone_title": "Solving systems with substitution", "translated_title": "Solving systems with substitution", "gplus_url": "", "id": "xa907d949", "old_key_name": null, "hide": false, "title": "Solving systems with substitution", "child_data": [{"kind": "Video", "id": 26878}, {"kind": "Video", "id": 26879}, {"kind": "Video", "id": 26880}, {"kind": "Video", "id": 33752769}, {"kind": "Video", "id": 33752770}, {"kind": "Video", "id": 33752771}, {"kind": "Video", "id": 1116433408}, {"kind": "Exercise", "id": 426633747}], "children": [{"translated_youtube_id": "HJV_HY0Sh0s", "relative_url": "/video/solving-systems-by-substitution-1", "has_questions": false, "keywords": "U06_L1_T2_we1, Solving, systems, by, substitution, CC_6_EE_5, CC_8_EE_8_b", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-1", "duration": 224, "translated_title": "Example 1: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 1", "id": "26878", "description_html": "Solving systems by substitution 1", "title": "Example 1: Solving systems by substitution", "progress_key": "v26878", "edit_slug": "edit/v/26878", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 1", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.mp4/HJV_HY0Sh0s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.mp4/HJV_HY0Sh0s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.m3u8/HJV_HY0Sh0s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HJV_HY0Sh0s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26878", "sha": "02e29d056854ac673614999c68c96f982a2decff", "translated_description": "Solving systems by substitution 1", "image_url": "https://img.youtube.com/vi/HJV_HY0Sh0s/hqdefault.jpg", "youtube_id": "HJV_HY0Sh0s", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-1"}, {"translated_youtube_id": "wB3QCk0MGuw", "relative_url": "/video/solving-systems-by-substitution-2", "has_questions": false, "keywords": "U06_L1_T1_we2, Solving, systems, by, substitution, CC_6_EE_5, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-2", "duration": 246, "translated_title": "Example 2: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 2", "id": "26879", "description_html": "Solving systems by substitution 2", "title": "Example 2: Solving systems by substitution", "progress_key": "v26879", "edit_slug": "edit/v/26879", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 2", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.mp4/wB3QCk0MGuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.mp4/wB3QCk0MGuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.m3u8/wB3QCk0MGuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wB3QCk0MGuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26879", "sha": "6715fbbda37ce37b38186ebeb8d488bf50e0ae4a", "translated_description": "Solving systems by substitution 2", "image_url": "https://img.youtube.com/vi/wB3QCk0MGuw/hqdefault.jpg", "youtube_id": "wB3QCk0MGuw", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-2"}, {"translated_youtube_id": "0BgUKHTW37E", "relative_url": "/video/solving-systems-by-substitution-3", "has_questions": false, "keywords": "U06_L1_T2_we3, Solving, systems, by, substitution, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-3", "duration": 364, "translated_title": "Example 3: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 3", "id": "26880", "description_html": "Solving systems by substitution 3", "title": "Example 3: Solving systems by substitution", "progress_key": "v26880", "edit_slug": "edit/v/26880", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 3", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.mp4/0BgUKHTW37E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.mp4/0BgUKHTW37E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.m3u8/0BgUKHTW37E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0BgUKHTW37E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26880", "sha": "13974b88037fb22f7dcde83e20617a77057272c8", "translated_description": "Solving systems by substitution 3", "image_url": "https://img.youtube.com/vi/0BgUKHTW37E/hqdefault.jpg", "youtube_id": "0BgUKHTW37E", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-3"}, {"translated_youtube_id": "uzyd_mIJaoc", "relative_url": "/video/the-substitution-method", "has_questions": false, "keywords": "u14_l2_t1_we1, The, Substitution, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/the-substitution-method", "duration": 279, "translated_title": "The substitution method", "translated_description_html": " The Substitution Method", "id": "33752769", "description_html": " The Substitution Method", "title": "The substitution method", "progress_key": "v33752769", "edit_slug": "edit/v/33752769", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " The Substitution Method", "extra_properties": null, "node_slug": "v/the-substitution-method", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.m3u8/uzyd_mIJaoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzyd_mIJaoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752769", "sha": "de214821f8221e700a9d9bb6c097f872318c2506", "translated_description": " The Substitution Method", "image_url": "https://img.youtube.com/vi/uzyd_mIJaoc/hqdefault.jpg", "youtube_id": "uzyd_mIJaoc", "content_kind": "Video", "readable_id": "the-substitution-method"}, {"translated_youtube_id": "2VeqrZ_PMiY", "relative_url": "/video/substitution-method-2", "has_questions": false, "keywords": "u14_l2_t1_we2, Substitution, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_F_3, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/substitution-method-2", "duration": 224, "translated_title": "Substitution method 2", "translated_description_html": "Substitution Method 2", "id": "33752770", "description_html": "Substitution Method 2", "title": "Substitution method 2", "progress_key": "v33752770", "edit_slug": "edit/v/33752770", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Substitution Method 2", "extra_properties": null, "node_slug": "v/substitution-method-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.mp4/2VeqrZ_PMiY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.mp4/2VeqrZ_PMiY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.m3u8/2VeqrZ_PMiY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2VeqrZ_PMiY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752770", "sha": "6c8b7a2886f77e9e66bceebf80d126243bb4e93c", "translated_description": "Substitution Method 2", "image_url": "https://img.youtube.com/vi/2VeqrZ_PMiY/hqdefault.jpg", "youtube_id": "2VeqrZ_PMiY", "content_kind": "Video", "readable_id": "substitution-method-2"}, {"translated_youtube_id": "v6L8--MlnKo", "relative_url": "/video/substitution-method-3", "has_questions": false, "keywords": "u14_l2_t1_we3, Substitution, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/substitution-method-3", "duration": 358, "translated_title": "Substitution method 3", "translated_description_html": "Substitution Method 3", "id": "33752771", "description_html": "Substitution Method 3", "title": "Substitution method 3", "progress_key": "v33752771", "edit_slug": "edit/v/33752771", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Substitution Method 3", "extra_properties": null, "node_slug": "v/substitution-method-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.mp4/v6L8--MlnKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.mp4/v6L8--MlnKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.m3u8/v6L8--MlnKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v6L8--MlnKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752771", "sha": "cc7bfbdc21ad0c7ec5249d1dc55e834e3c3b112c", "translated_description": "Substitution Method 3", "image_url": "https://img.youtube.com/vi/v6L8--MlnKo/hqdefault.jpg", "youtube_id": "v6L8--MlnKo", "content_kind": "Video", "readable_id": "substitution-method-3"}, {"translated_youtube_id": "GWZKz4F9hWM", "relative_url": "/video/practice-using-substitution-for-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-using-substitution-for-systems", "duration": 261, "translated_title": "Practice using substitution for systems", "translated_description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "id": "1116433408", "description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "title": "Practice using substitution for systems", "progress_key": "v1116433408", "edit_slug": "edit/v/1116433408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "extra_properties": null, "node_slug": "v/practice-using-substitution-for-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:47:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.m3u8/GWZKz4F9hWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GWZKz4F9hWM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116433408", "sha": "7459e35936cb6b9d045fde6091a4c8a75eb28e02", "translated_description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "image_url": "https://img.youtube.com/vi/GWZKz4F9hWM/hqdefault.jpg", "youtube_id": "GWZKz4F9hWM", "content_kind": "Video", "readable_id": "practice-using-substitution-for-systems"}], "twitter_url": "", "translated_description": "This tutorial is focused on solving systems through substitution. It has more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does. Once you get a hang for things, feel free to skip the rest of the videos and try the exercises. The best way to learn, after all, is to do rather than just listen!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is focused on solving systems through substitution. It has more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does. Once you get a hang for things, feel free to skip the rest of the videos and try the exercises. The best way to learn, after all, is to do rather than just listen!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "x_pos": 0.0, "node_slug": "cc-8th-systems-with-substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa907d949", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution", "slug": "cc-8th-systems-with-substitution", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d24ff88919453a623c049890ad7f2c8100db5e00", "standalone_title": "Solving systems with substitution", "y_pos": 0.0, "current_revision_key": "d24ff88919453a623c049890ad7f2c8100db5e00", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination", "translated_standalone_title": "Solving systems with elimination", "translated_title": "Solving systems with elimination", "gplus_url": "", "id": "x0a5283e0", "old_key_name": null, "hide": false, "title": "Solving systems with elimination", "child_data": [{"kind": "Video", "id": 26881}, {"kind": "Video", "id": 26882}, {"kind": "Video", "id": 33752772}, {"kind": "Video", "id": 33752773}, {"kind": "Video", "id": 33752774}, {"kind": "Video", "id": 33752775}, {"kind": "Video", "id": 26883}, {"kind": "Video", "id": 1112791956}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 1115141430}, {"kind": "Exercise", "id": 426688097}], "children": [{"translated_youtube_id": "z1hz8-Kri1E", "relative_url": "/video/solving-systems-by-elimination", "has_questions": false, "keywords": "U06_L1_T3_we1, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination", "duration": 351, "translated_title": "Example 1: Solving systems by elimination", "translated_description_html": "Solving systems by elimination", "id": "26881", "description_html": "Solving systems by elimination", "title": "Example 1: Solving systems by elimination", "progress_key": "v26881", "edit_slug": "edit/v/26881", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.m3u8/z1hz8-Kri1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z1hz8-Kri1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26881", "sha": "1da6107f221e8c9b4a68343144124831e800ce7d", "translated_description": "Solving systems by elimination", "image_url": "https://img.youtube.com/vi/z1hz8-Kri1E/hqdefault.jpg", "youtube_id": "z1hz8-Kri1E", "content_kind": "Video", "readable_id": "solving-systems-by-elimination"}, {"translated_youtube_id": "Y6JsEja15Vk", "relative_url": "/video/solving-systems-by-elimination-2", "has_questions": false, "keywords": "U06_L1_T3_we2, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination-2", "duration": 225, "translated_title": "Example 2: Solving systems by elimination", "translated_description_html": "Solving systems by elimination 2", "id": "26882", "description_html": "Solving systems by elimination 2", "title": "Example 2: Solving systems by elimination", "progress_key": "v26882", "edit_slug": "edit/v/26882", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination 2", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.mp4/Y6JsEja15Vk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.mp4/Y6JsEja15Vk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.m3u8/Y6JsEja15Vk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y6JsEja15Vk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26882", "sha": "484196d6c8da135a942c5ed5fa5acc0ad983972b", "translated_description": "Solving systems by elimination 2", "image_url": "https://img.youtube.com/vi/Y6JsEja15Vk/hqdefault.jpg", "youtube_id": "Y6JsEja15Vk", "content_kind": "Video", "readable_id": "solving-systems-by-elimination-2"}, {"translated_youtube_id": "0P0SCQf-hWQ", "relative_url": "/video/addition-elimination-method-1", "has_questions": false, "keywords": "u14_l2_t2_we1, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-1", "duration": 218, "translated_title": "Addition elimination method 1", "translated_description_html": "Addition Elimination Method 1", "id": "33752772", "description_html": "Addition Elimination Method 1", "title": "Addition elimination method 1", "progress_key": "v33752772", "edit_slug": "edit/v/33752772", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 1", "extra_properties": null, "node_slug": "v/addition-elimination-method-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.m3u8/0P0SCQf-hWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0P0SCQf-hWQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752772", "sha": "eb3f65669f440b951e8ac1e2d90ebc743d29628c", "translated_description": "Addition Elimination Method 1", "image_url": "https://img.youtube.com/vi/0P0SCQf-hWQ/hqdefault.jpg", "youtube_id": "0P0SCQf-hWQ", "content_kind": "Video", "readable_id": "addition-elimination-method-1"}, {"translated_youtube_id": "hJOqGkWElNs", "relative_url": "/video/addition-elimination-method-2", "has_questions": false, "keywords": "u14_l2_t2_we2, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-2", "duration": 266, "translated_title": "Addition elimination method 2", "translated_description_html": "Addition Elimination Method 2", "id": "33752773", "description_html": "Addition Elimination Method 2", "title": "Addition elimination method 2", "progress_key": "v33752773", "edit_slug": "edit/v/33752773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 2", "extra_properties": null, "node_slug": "v/addition-elimination-method-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.m3u8/hJOqGkWElNs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJOqGkWElNs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752773", "sha": "110eb3181cf29a98f49c57086f6d3c9d5f6c4230", "translated_description": "Addition Elimination Method 2", "image_url": "https://img.youtube.com/vi/hJOqGkWElNs/hqdefault.jpg", "youtube_id": "hJOqGkWElNs", "content_kind": "Video", "readable_id": "addition-elimination-method-2"}, {"translated_youtube_id": "mKu0L46Qed4", "relative_url": "/video/addition-elimination-method-3", "has_questions": false, "keywords": "u14_l2_t2_we3, Addition, Elimination, Method, CC_8_EE_8, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_5, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-3", "duration": 305, "translated_title": "Addition elimination method 3", "translated_description_html": "Addition Elimination Method 3", "id": "33752774", "description_html": "Addition Elimination Method 3", "title": "Addition elimination method 3", "progress_key": "v33752774", "edit_slug": "edit/v/33752774", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 3", "extra_properties": null, "node_slug": "v/addition-elimination-method-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.m3u8/mKu0L46Qed4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mKu0L46Qed4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752774", "sha": "cdf172e70b246c1eb5cebb62e8d66373f4785a99", "translated_description": "Addition Elimination Method 3", "image_url": "https://img.youtube.com/vi/mKu0L46Qed4/hqdefault.jpg", "youtube_id": "mKu0L46Qed4", "content_kind": "Video", "readable_id": "addition-elimination-method-3"}, {"translated_youtube_id": "DxSmZ0MDSxM", "relative_url": "/video/addition-elimination-method-4", "has_questions": false, "keywords": "u14_l2_t2_we4, Addition, Elimination, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-4", "duration": 158, "translated_title": "Addition elimination method 4", "translated_description_html": "Addition Elimination Method 4", "id": "33752775", "description_html": "Addition Elimination Method 4", "title": "Addition elimination method 4", "progress_key": "v33752775", "edit_slug": "edit/v/33752775", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 4", "extra_properties": null, "node_slug": "v/addition-elimination-method-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.m3u8/DxSmZ0MDSxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DxSmZ0MDSxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752775", "sha": "c52919dc38bf44ddfc6642660416c8459d509fea", "translated_description": "Addition Elimination Method 4", "image_url": "https://img.youtube.com/vi/DxSmZ0MDSxM/hqdefault.jpg", "youtube_id": "DxSmZ0MDSxM", "content_kind": "Video", "readable_id": "addition-elimination-method-4"}, {"translated_youtube_id": "Dqp6xOeR3Ls", "relative_url": "/video/solving-systems-by-elimination-3", "has_questions": false, "keywords": "U06_L1_T3_we3, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination-3", "duration": 297, "translated_title": "Example 3: Solving systems by elimination", "translated_description_html": "Solving systems by elimination 3", "id": "26883", "description_html": "Solving systems by elimination 3", "title": "Example 3: Solving systems by elimination", "progress_key": "v26883", "edit_slug": "edit/v/26883", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination 3", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.mp4/Dqp6xOeR3Ls.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.mp4/Dqp6xOeR3Ls.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.m3u8/Dqp6xOeR3Ls.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dqp6xOeR3Ls&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26883", "sha": "1f226636a89997ad80bbfa0c0eec6a6fa982595c", "translated_description": "Solving systems by elimination 3", "image_url": "https://img.youtube.com/vi/Dqp6xOeR3Ls/hqdefault.jpg", "youtube_id": "Dqp6xOeR3Ls", "content_kind": "Video", "readable_id": "solving-systems-by-elimination-3"}, {"translated_youtube_id": "QrHsibKBVwI", "relative_url": "/video/simple-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-elimination-practice", "duration": 258, "translated_title": "Simple elimination practice", "translated_description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "id": "1112791956", "description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "title": "Simple elimination practice", "progress_key": "v1112791956", "edit_slug": "edit/v/1112791956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "extra_properties": null, "node_slug": "v/simple-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T18:56:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.m3u8/QrHsibKBVwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QrHsibKBVwI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112791956", "sha": "f1394ea93b8c1136bff61990cccd4bdc9c88ab83", "translated_description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "image_url": "https://img.youtube.com/vi/QrHsibKBVwI/hqdefault.jpg", "youtube_id": "QrHsibKBVwI", "content_kind": "Video", "readable_id": "simple-elimination-practice"}, {"translated_youtube_id": "u5dPUHjagSI", "relative_url": "/video/systems-with-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-with-elimination-practice", "duration": 331, "translated_title": "Systems with elimination practice", "translated_description_html": "Example of solving systems of equations with elimination", "id": "1115141430", "description_html": "Example of solving systems of equations with elimination", "title": "Systems with elimination practice", "progress_key": "v1115141430", "edit_slug": "edit/v/1115141430", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving systems of equations with elimination", "extra_properties": null, "node_slug": "v/systems-with-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:04:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.m3u8/u5dPUHjagSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5dPUHjagSI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115141430", "sha": "d587303c8bbf9ffc00cd4f31955536c79ea1642c", "translated_description": "Example of solving systems of equations with elimination", "image_url": "https://img.youtube.com/vi/u5dPUHjagSI/hqdefault.jpg", "youtube_id": "u5dPUHjagSI", "content_kind": "Video", "readable_id": "systems-with-elimination-practice"}], "twitter_url": "", "translated_description": "You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. You'll learn best if you pause the videos and try to do the problem before Sal does. Once you get a hang for things, feel free to skip forward to the exercises.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. You'll learn best if you pause the videos and try to do the problem before Sal does. Once you get a hang for things, feel free to skip forward to the exercises.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "x_pos": 0.0, "node_slug": "cc-8th-systems-elimination", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a5283e0", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination", "slug": "cc-8th-systems-elimination", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e310d98c8996a68813f6ff19a7c013075f864938", "standalone_title": "Solving systems with elimination", "y_pos": 0.0, "current_revision_key": "e310d98c8996a68813f6ff19a7c013075f864938", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions", "translated_standalone_title": "Thinking about solutions to systems", "translated_title": "Thinking about solutions to systems", "gplus_url": "", "id": "xd5861b91", "old_key_name": null, "hide": false, "title": "Thinking about solutions to systems", "child_data": [{"kind": "Video", "id": 1116349757}, {"kind": "Video", "id": 1116483367}, {"kind": "Video", "id": 33752763}, {"kind": "Video", "id": 561902042}, {"kind": "Video", "id": 1116353804}, {"kind": "Exercise", "id": "x62f8a7e5"}, {"kind": "Exercise", "id": 426656847}, {"kind": "Video", "id": "x736f77fe"}, {"kind": "Exercise", "id": "xb99abb79"}], "children": [{"translated_youtube_id": "NJRyxmommqQ", "relative_url": "/video/inconsistent-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inconsistent-systems-of-equations", "duration": 565, "translated_title": "Inconsistent systems of equations", "translated_description_html": "Systems of equations without a solution", "id": "1116349757", "description_html": "Systems of equations without a solution", "title": "Inconsistent systems of equations", "progress_key": "v1116349757", "edit_slug": "edit/v/1116349757", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Systems of equations without a solution", "extra_properties": null, "node_slug": "v/inconsistent-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-31T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.m3u8/NJRyxmommqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NJRyxmommqQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116349757", "sha": "0dd46d8e8bb19a00636d8a6f4c1121c9d617b35f", "translated_description": "Systems of equations without a solution", "image_url": "https://img.youtube.com/vi/NJRyxmommqQ/hqdefault.jpg", "youtube_id": "NJRyxmommqQ", "content_kind": "Video", "readable_id": "inconsistent-systems-of-equations"}, {"translated_youtube_id": "MpRUEGD2-_c", "relative_url": "/video/infinite-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infinite-solutions-to-systems", "duration": 428, "translated_title": "Infinite solutions to systems", "translated_description_html": "Consistent, but dependent systems of equations", "id": "1116483367", "description_html": "Consistent, but dependent systems of equations", "title": "Infinite solutions to systems", "progress_key": "v1116483367", "edit_slug": "edit/v/1116483367", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Consistent, but dependent systems of equations", "extra_properties": null, "node_slug": "v/infinite-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:48:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.m3u8/MpRUEGD2-_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MpRUEGD2-_c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116483367", "sha": "ee31fc35ed91c215abd862b97a8e891da162e9ac", "translated_description": "Consistent, but dependent systems of equations", "image_url": "https://img.youtube.com/vi/MpRUEGD2-_c/hqdefault.jpg", "youtube_id": "MpRUEGD2-_c", "content_kind": "Video", "readable_id": "infinite-solutions-to-systems"}, {"translated_youtube_id": "Ix8Nne-a-KQ", "relative_url": "/video/consistent-and-inconsistent-systems", "has_questions": false, "keywords": "u14_l1_t1_we3, Consistent, and, Inconsistent, Systems, CC_8_EE_8_a, CC_8_EE_8_b", "ka_url": "http://www.khanacademy.org/video/consistent-and-inconsistent-systems", "duration": 329, "translated_title": "Consistent and inconsistent systems", "translated_description_html": "Consistent and Inconsistent Systems", "id": "33752763", "description_html": "Consistent and Inconsistent Systems", "title": "Consistent and inconsistent systems", "progress_key": "v33752763", "edit_slug": "edit/v/33752763", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Consistent and Inconsistent Systems", "extra_properties": null, "node_slug": "v/consistent-and-inconsistent-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.m3u8/Ix8Nne-a-KQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ix8Nne-a-KQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752763", "sha": "d04a85de26f7e9e1726820c4a9e9a1b459bbd0bf", "translated_description": "Consistent and Inconsistent Systems", "image_url": "https://img.youtube.com/vi/Ix8Nne-a-KQ/hqdefault.jpg", "youtube_id": "Ix8Nne-a-KQ", "content_kind": "Video", "readable_id": "consistent-and-inconsistent-systems"}, {"translated_youtube_id": "WSpF5uvApLA", "relative_url": "/video/independent-and-dependent-systems", "has_questions": false, "keywords": "u14_l1_t1_we4, Independent, and, Dependent, Systems, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/independent-and-dependent-systems", "duration": 310, "translated_title": "Independent and dependent systems", "translated_description_html": " Independent and Dependent Systems", "id": "561902042", "description_html": " Independent and Dependent Systems", "title": "Independent and dependent systems", "progress_key": "v561902042", "edit_slug": "edit/v/561902042", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Independent and Dependent Systems", "extra_properties": null, "node_slug": "v/independent-and-dependent-systems", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.m3u8/WSpF5uvApLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WSpF5uvApLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561902042", "sha": "fe85fd7d072a8b1ae13373a1d62798687e0b9022", "translated_description": " Independent and Dependent Systems", "image_url": "https://img.youtube.com/vi/WSpF5uvApLA/hqdefault.jpg", "youtube_id": "WSpF5uvApLA", "content_kind": "Video", "readable_id": "independent-and-dependent-systems"}, {"translated_youtube_id": "SuB1gkto9LU", "relative_url": "/video/practice-thinking-about-number-of-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-thinking-about-number-of-solutions-to-systems", "duration": 396, "translated_title": "Practice thinking about number of solutions to systems", "translated_description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "id": "1116353804", "description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "title": "Practice thinking about number of solutions to systems", "progress_key": "v1116353804", "edit_slug": "edit/v/1116353804", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "extra_properties": null, "node_slug": "v/practice-thinking-about-number-of-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-31T16:48:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.m3u8/SuB1gkto9LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SuB1gkto9LU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116353804", "sha": "cb71004b147d1a54f79f84360742131aad958983", "translated_description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "image_url": "https://img.youtube.com/vi/SuB1gkto9LU/hqdefault.jpg", "youtube_id": "SuB1gkto9LU", "content_kind": "Video", "readable_id": "practice-thinking-about-number-of-solutions-to-systems"}, {"translated_youtube_id": "Z96vkuybvjE", "relative_url": "/video/constructing-solutions-to-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-solutions-to-systems-of-equations", "duration": 381, "translated_title": "Constructing solutions to systems of equations", "translated_description_html": "", "id": "x736f77fe", "description_html": "", "title": "Constructing solutions to systems of equations", "progress_key": "vx736f77fe", "edit_slug": "edit/v/x736f77fe", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-solutions-to-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-31T00:21:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.mp4/Z96vkuybvjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.mp4/Z96vkuybvjE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.m3u8/Z96vkuybvjE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z96vkuybvjE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx736f77fe", "sha": "ab1c6fd93a619d5bb9bf941d7b9f7af6e9cf000c", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z96vkuybvjE/hqdefault.jpg", "youtube_id": "Z96vkuybvjE", "content_kind": "Video", "readable_id": "constructing-solutions-to-systems-of-equations"}], "twitter_url": "", "translated_description": "You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b", "x_pos": 0.0, "node_slug": "cc-8th-systems-solutions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd5861b91", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions", "slug": "cc-8th-systems-solutions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "786a150458f9fc072b99e346f2ed87794f23a025", "standalone_title": "Thinking about solutions to systems", "y_pos": 0.0, "current_revision_key": "786a150458f9fc072b99e346f2ed87794f23a025", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems", "translated_standalone_title": "Systems word problems", "translated_title": "Systems word problems", "gplus_url": "", "id": "x0da2f73f", "old_key_name": null, "hide": false, "title": "Systems word problems", "child_data": [{"kind": "Video", "id": "x9cf8703a"}, {"kind": "Video", "id": 26781}, {"kind": "Exercise", "id": 449948800}, {"kind": "Video", "id": "x6f9a8813"}, {"kind": "Video", "id": "x2a69cbaa"}, {"kind": "Exercise", "id": "x457f20a9"}], "children": [{"translated_youtube_id": "gRntusF_tVI", "relative_url": "/video/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "duration": 306, "translated_title": "Using a system of equations to find the price of apples and oranges", "translated_description_html": "", "id": "x9cf8703a", "description_html": "", "title": "Using a system of equations to find the price of apples and oranges", "progress_key": "vx9cf8703a", "edit_slug": "edit/v/x9cf8703a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-10T00:09:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.mp4/gRntusF_tVI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.mp4/gRntusF_tVI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.m3u8/gRntusF_tVI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gRntusF_tVI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9cf8703a", "sha": "3fbf906b48c1c1ae890aa0698a91048114d7ea6b", "translated_description": "", "image_url": "https://img.youtube.com/vi/gRntusF_tVI/hqdefault.jpg", "youtube_id": "gRntusF_tVI", "content_kind": "Video", "readable_id": "using-a-system-of-equations-to-find-the-price-of-apples-and-oranges"}, {"translated_youtube_id": "cNlwi6lUCEM", "relative_url": "/video/algebraic-word-problem", "has_questions": false, "keywords": "U02_L1_T3_we1, Algebraic, Word, Problem, CC_6_EE_5, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b", "ka_url": "http://www.khanacademy.org/video/algebraic-word-problem", "duration": 482, "translated_title": "Linear systems word problem with substitution", "translated_description_html": "

Algebraic Word Problem<\/p>\n", "id": "26781", "description_html": "

Algebraic Word Problem<\/p>\n", "title": "Linear systems word problem with substitution", "progress_key": "v26781", "edit_slug": "edit/v/26781", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Algebraic Word Problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/algebraic-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.m3u8/cNlwi6lUCEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cNlwi6lUCEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26781", "sha": "e3abe5a7b3a6bb04782a4b95ebdbb71b37b3ef54", "translated_description": "Algebraic Word Problem\n", "image_url": "https://img.youtube.com/vi/cNlwi6lUCEM/hqdefault.jpg", "youtube_id": "cNlwi6lUCEM", "content_kind": "Video", "readable_id": "algebraic-word-problem"}, {"translated_youtube_id": "grmmM_KhQ4U", "relative_url": "/video/understanding-systems-of-equations-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-systems-of-equations-example", "duration": 255, "translated_title": "Systems of equation to realize you are getting ripped off", "translated_description_html": "", "id": "x6f9a8813", "description_html": "", "title": "Systems of equation to realize you are getting ripped off", "progress_key": "vx6f9a8813", "edit_slug": "edit/v/x6f9a8813", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-systems-of-equations-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:09:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.mp4/grmmM_KhQ4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.mp4/grmmM_KhQ4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.m3u8/grmmM_KhQ4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=grmmM_KhQ4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f9a8813", "sha": "dd05967489d7f3ffe792c9a5d6b1b935f7ff3841", "translated_description": "", "image_url": "https://img.youtube.com/vi/grmmM_KhQ4U/hqdefault.jpg", "youtube_id": "grmmM_KhQ4U", "content_kind": "Video", "readable_id": "understanding-systems-of-equations-example"}, {"translated_youtube_id": "bzseeIVEslA", "relative_url": "/video/understanding-systems-of-equations-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-systems-of-equations-example-2", "duration": 132, "translated_title": "Thinking about multiple solutions to a system of equations", "translated_description_html": "", "id": "x2a69cbaa", "description_html": "", "title": "Thinking about multiple solutions to a system of equations", "progress_key": "vx2a69cbaa", "edit_slug": "edit/v/x2a69cbaa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-systems-of-equations-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:09:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.mp4/bzseeIVEslA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.mp4/bzseeIVEslA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.m3u8/bzseeIVEslA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bzseeIVEslA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2a69cbaa", "sha": "30c1de007977ab6d8e88e284ad1c65bf555c468f", "translated_description": "", "image_url": "https://img.youtube.com/vi/bzseeIVEslA/hqdefault.jpg", "youtube_id": "bzseeIVEslA", "content_kind": "Video", "readable_id": "understanding-systems-of-equations-example-2"}], "twitter_url": "", "translated_description": "This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b, 8.EE.C.8c", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b, 8.EE.C.8c", "x_pos": 0.0, "node_slug": "cc-8th-systems-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0da2f73f", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems", "slug": "cc-8th-systems-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5ef3e54443653037240bef7e769a2a9f33ba964a", "standalone_title": "Systems word problems", "y_pos": 0.0, "current_revision_key": "5ef3e54443653037240bef7e769a2a9f33ba964a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-systems-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax71149dce", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-systems-topic", "extended_slug": "math/cc-eighth-grade-math/cc-8th-systems-topic", "slug": "cc-8th-systems-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1cf1354f634cbec59123b41c234943ccd948dac0", "standalone_title": "Systems of equations", "y_pos": 0.0, "current_revision_key": "1cf1354f634cbec59123b41c234943ccd948dac0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "x7306f126", "old_key_name": null, "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "x3c4fbabe"}, {"kind": "Topic", "id": "x8b76ca68"}, {"kind": "Topic", "id": "xdb1f2931"}, {"kind": "Topic", "id": "xf785dd16"}, {"kind": "Topic", "id": "x531b2f8e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines", "translated_standalone_title": "Angles between intersecting lines", "translated_title": "Angles between intersecting lines", "gplus_url": "", "id": "x3c4fbabe", "old_key_name": null, "hide": false, "title": "Angles between intersecting lines", "child_data": [{"kind": "Video", "id": 263439061}, {"kind": "Video", "id": 372432667}, {"kind": "Video", "id": "xc5b28d56"}, {"kind": "Exercise", "id": 844384906}, {"kind": "Exercise", "id": 272338869}, {"kind": "Video", "id": "xa92ee636"}, {"kind": "Video", "id": 24456}], "children": [{"translated_youtube_id": "H-E5rlpCVu4", "relative_url": "/video/angles-formed-by-parallel-lines-and-transversals", "has_questions": false, "keywords": "alternate, interior, angles, exterior", "ka_url": "http://www.khanacademy.org/video/angles-formed-by-parallel-lines-and-transversals", "duration": 427, "translated_title": "Angles formed by parallel lines and transversals", "translated_description_html": "Parallel lines, transversal lines, corresponding angles", "id": "263439061", "description_html": "Parallel lines, transversal lines, corresponding angles", "title": "Angles formed by parallel lines and transversals", "progress_key": "v263439061", "edit_slug": "edit/v/263439061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Parallel lines, transversal lines, corresponding angles", "extra_properties": null, "node_slug": "v/angles-formed-by-parallel-lines-and-transversals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.mp4/H-E5rlpCVu4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.mp4/H-E5rlpCVu4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.m3u8/H-E5rlpCVu4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-E5rlpCVu4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439061", "sha": "5eba8caf7f9bbebc5db937b6b4b6bc114ae2906b", "translated_description": "Parallel lines, transversal lines, corresponding angles", "image_url": "https://img.youtube.com/vi/H-E5rlpCVu4/hqdefault.jpg", "youtube_id": "H-E5rlpCVu4", "content_kind": "Video", "readable_id": "angles-formed-by-parallel-lines-and-transversals"}, {"translated_youtube_id": "aq_XL6FrmGs", "relative_url": "/video/identifying-parallel-and-perpendicular-lines", "has_questions": false, "keywords": "u07_l1_t2_we1, Identifying, Parallel, and, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/identifying-parallel-and-perpendicular-lines", "duration": 215, "translated_title": "Identifying parallel and perpendicular lines", "translated_description_html": "Identifying Parallel and Perpendicular Lines", "id": "372432667", "description_html": "Identifying Parallel and Perpendicular Lines", "title": "Identifying parallel and perpendicular lines", "progress_key": "v372432667", "edit_slug": "edit/v/372432667", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Identifying Parallel and Perpendicular Lines", "extra_properties": null, "node_slug": "v/identifying-parallel-and-perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.m3u8/aq_XL6FrmGs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aq_XL6FrmGs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432667", "sha": "9eeef4488ac0b99999833124ed42a0b32d3b789d", "translated_description": "Identifying Parallel and Perpendicular Lines", "image_url": "https://img.youtube.com/vi/aq_XL6FrmGs/hqdefault.jpg", "youtube_id": "aq_XL6FrmGs", "content_kind": "Video", "readable_id": "identifying-parallel-and-perpendicular-lines"}, {"translated_youtube_id": "2WjGD3LZEWo", "relative_url": "/video/figuring-out-angles-between-transversal-and-parallel-lines", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/figuring-out-angles-between-transversal-and-parallel-lines", "duration": 136, "translated_title": "Figuring out angles between transversal and parallel lines", "translated_description_html": "", "id": "xc5b28d56", "description_html": "", "title": "Figuring out angles between transversal and parallel lines", "progress_key": "vxc5b28d56", "edit_slug": "edit/v/xc5b28d56", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/figuring-out-angles-between-transversal-and-parallel-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.mp4/2WjGD3LZEWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.mp4/2WjGD3LZEWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.m3u8/2WjGD3LZEWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2WjGD3LZEWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc5b28d56", "sha": "e60ad033611fe885a6a3429e936034158eac16cd", "translated_description": "", "image_url": "https://img.youtube.com/vi/2WjGD3LZEWo/hqdefault.jpg", "youtube_id": "2WjGD3LZEWo", "content_kind": "Video", "readable_id": "figuring-out-angles-between-transversal-and-parallel-lines"}, {"translated_youtube_id": "Ld7Vxb5XV6A", "relative_url": "/video/using-algebra-to-find-measures-of-angles-formed-from-transversal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-algebra-to-find-measures-of-angles-formed-from-transversal", "duration": 281, "translated_title": "Using algebra to find measures of angles formed from transversal", "translated_description_html": "", "id": "xa92ee636", "description_html": "", "title": "Using algebra to find measures of angles formed from transversal", "progress_key": "vxa92ee636", "edit_slug": "edit/v/xa92ee636", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-algebra-to-find-measures-of-angles-formed-from-transversal", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.mp4/Ld7Vxb5XV6A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.mp4/Ld7Vxb5XV6A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.m3u8/Ld7Vxb5XV6A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ld7Vxb5XV6A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa92ee636", "sha": "383e845f2aeedcb00c7022153fa3d287dc0654d1", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ld7Vxb5XV6A/hqdefault.jpg", "youtube_id": "Ld7Vxb5XV6A", "content_kind": "Video", "readable_id": "using-algebra-to-find-measures-of-angles-formed-from-transversal"}, {"translated_youtube_id": "_HJljJuVHLw", "relative_url": "/video/ca-geometry--deducing-angle-measures", "has_questions": false, "keywords": "geometry, angles, deduction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deducing-angle-measures", "duration": 658, "translated_title": "CA Geometry: Deducing angle measures", "translated_description_html": "46-50, deducing the measure of angles", "id": "24456", "description_html": "46-50, deducing the measure of angles", "title": "CA Geometry: Deducing angle measures", "progress_key": "v24456", "edit_slug": "edit/v/24456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "46-50, deducing the measure of angles", "extra_properties": null, "node_slug": "v/ca-geometry--deducing-angle-measures", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.m3u8/_HJljJuVHLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_HJljJuVHLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24456", "sha": "3a6299a33ce2c08c872b56aea80948e011b4585a", "translated_description": "46-50, deducing the measure of angles", "image_url": "https://img.youtube.com/vi/_HJljJuVHLw/hqdefault.jpg", "youtube_id": "_HJljJuVHLw", "content_kind": "Video", "readable_id": "ca-geometry--deducing-angle-measures"}], "twitter_url": "", "translated_description": "Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. \n\nThis tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. \n\nThis tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.", "x_pos": 0.0, "node_slug": "cc-8th-angles-between-lines", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3c4fbabe", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines", "slug": "cc-8th-angles-between-lines", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "895311ebbb12c0c7bffd5165df7dea9f6698750d", "standalone_title": "Angles between intersecting lines", "y_pos": 0.0, "current_revision_key": "895311ebbb12c0c7bffd5165df7dea9f6698750d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles", "translated_standalone_title": "Triangle angles", "translated_title": "Triangle angles", "gplus_url": "", "id": "x8b76ca68", "old_key_name": null, "hide": false, "title": "Triangle angles", "child_data": [{"kind": "Video", "id": 265540642}, {"kind": "Video", "id": 265540638}, {"kind": "Video", "id": 265540640}, {"kind": "Video", "id": 265540635}, {"kind": "Video", "id": 265540639}, {"kind": "Exercise", "id": 2023}, {"kind": "Exercise", "id": 2024}], "children": [{"translated_youtube_id": "hmj3_zbz2eg", "relative_url": "/video/triangle-angle-example-1", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-1", "duration": 363, "translated_title": "Triangle angle example 1", "translated_description_html": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "id": "265540642", "description_html": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "title": "Triangle angle example 1", "progress_key": "v265540642", "edit_slug": "edit/v/265540642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "extra_properties": null, "node_slug": "v/triangle-angle-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.mp4/hmj3_zbz2eg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.mp4/hmj3_zbz2eg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.m3u8/hmj3_zbz2eg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hmj3_zbz2eg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540642", "sha": "82d58f7232589b4d07b3800c6d729828894c317f", "translated_description": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "image_url": "https://img.youtube.com/vi/hmj3_zbz2eg/hqdefault.jpg", "youtube_id": "hmj3_zbz2eg", "content_kind": "Video", "readable_id": "triangle-angle-example-1"}, {"translated_youtube_id": "eTwnt4G5xE4", "relative_url": "/video/triangle-angle-example-2", "has_questions": false, "keywords": "Triangle, Angle, Example, 2", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-2", "duration": 295, "translated_title": "Triangle angle example 2", "translated_description_html": "Another example finding angles in triangles", "id": "265540638", "description_html": "Another example finding angles in triangles", "title": "Triangle angle example 2", "progress_key": "v265540638", "edit_slug": "edit/v/265540638", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example finding angles in triangles", "extra_properties": null, "node_slug": "v/triangle-angle-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.mp4/eTwnt4G5xE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.mp4/eTwnt4G5xE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.m3u8/eTwnt4G5xE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eTwnt4G5xE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540638", "sha": "5dd1fe014c927f3aa1e8be6f355e8f8eb31993df", "translated_description": "Another example finding angles in triangles", "image_url": "https://img.youtube.com/vi/eTwnt4G5xE4/hqdefault.jpg", "youtube_id": "eTwnt4G5xE4", "content_kind": "Video", "readable_id": "triangle-angle-example-2"}, {"translated_youtube_id": "iqeGTtyzQ1I", "relative_url": "/video/triangle-angle-example-3", "has_questions": false, "keywords": "Triangle, Angle, Example, 3", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-3", "duration": 342, "translated_title": "Triangle angle example 3", "translated_description_html": "Multiple ways to solve for the angles of multiple triangles", "id": "265540640", "description_html": "Multiple ways to solve for the angles of multiple triangles", "title": "Triangle angle example 3", "progress_key": "v265540640", "edit_slug": "edit/v/265540640", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiple ways to solve for the angles of multiple triangles", "extra_properties": null, "node_slug": "v/triangle-angle-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.mp4/iqeGTtyzQ1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.mp4/iqeGTtyzQ1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.m3u8/iqeGTtyzQ1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iqeGTtyzQ1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540640", "sha": "cb42df46ef985e4d93860df9bfa69d51958682c6", "translated_description": "Multiple ways to solve for the angles of multiple triangles", "image_url": "https://img.youtube.com/vi/iqeGTtyzQ1I/hqdefault.jpg", "youtube_id": "iqeGTtyzQ1I", "content_kind": "Video", "readable_id": "triangle-angle-example-3"}, {"translated_youtube_id": "95logvV8nXY", "relative_url": "/video/challenging-triangle-angle-problem", "has_questions": false, "keywords": "Challenging, Triangle, Angle, Problem", "ka_url": "http://www.khanacademy.org/video/challenging-triangle-angle-problem", "duration": 517, "translated_title": "Challenging triangle angle problem", "translated_description_html": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "id": "265540635", "description_html": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "title": "Challenging triangle angle problem", "progress_key": "v265540635", "edit_slug": "edit/v/265540635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "extra_properties": null, "node_slug": "v/challenging-triangle-angle-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.mp4/95logvV8nXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.mp4/95logvV8nXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.m3u8/95logvV8nXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=95logvV8nXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540635", "sha": "a00f56a2b727d39b4d5470b9d03c441e5d88b90f", "translated_description": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "image_url": "https://img.youtube.com/vi/95logvV8nXY/hqdefault.jpg", "youtube_id": "95logvV8nXY", "content_kind": "Video", "readable_id": "challenging-triangle-angle-problem"}, {"translated_youtube_id": "0gzSreH8nUI", "relative_url": "/video/finding-more-angles", "has_questions": false, "keywords": "Finding, more, angles", "ka_url": "http://www.khanacademy.org/video/finding-more-angles", "duration": 365, "translated_title": "Finding more angles", "translated_description_html": "Example of angle hunting!", "id": "265540639", "description_html": "Example of angle hunting!", "title": "Finding more angles", "progress_key": "v265540639", "edit_slug": "edit/v/265540639", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of angle hunting!", "extra_properties": null, "node_slug": "v/finding-more-angles", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.mp4/0gzSreH8nUI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.mp4/0gzSreH8nUI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.m3u8/0gzSreH8nUI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0gzSreH8nUI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540639", "sha": "fca286599b29a6a88ca990d63fe9ab3a1e1156dd", "translated_description": "Example of angle hunting!", "image_url": "https://img.youtube.com/vi/0gzSreH8nUI/hqdefault.jpg", "youtube_id": "0gzSreH8nUI", "content_kind": "Video", "readable_id": "finding-more-angles"}], "twitter_url": "", "translated_description": "Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.\n\nCommon Core Standard: 8.G.A.5", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.\n\nCommon Core Standard: 8.G.A.5", "x_pos": 0.0, "node_slug": "cc-8th-triangle-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8b76ca68", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles", "slug": "cc-8th-triangle-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c104b9832b0306b3fbb2ee6d484d4d721d1bcb4a", "standalone_title": "Triangle angles", "y_pos": 0.0, "current_revision_key": "c104b9832b0306b3fbb2ee6d484d4d721d1bcb4a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem", "translated_standalone_title": "The Pythagorean Theorem", "translated_title": "The Pythagorean theorem", "gplus_url": "", "id": "xdb1f2931", "old_key_name": null, "hide": false, "title": "The Pythagorean theorem", "child_data": [{"kind": "Video", "id": 23754}, {"kind": "Video", "id": 2600799}, {"kind": "Video", "id": 26902}, {"kind": "Video", "id": 26903}, {"kind": "Video", "id": 26766}, {"kind": "Exercise", "id": 3032}, {"kind": "Video", "id": 23756}, {"kind": "Exercise", "id": 4514693}, {"kind": "Exercise", "id": "x24844d0b"}], "children": [{"translated_youtube_id": "AEIzy1kNRqo", "relative_url": "/video/pythagorean-theorem", "has_questions": false, "keywords": "Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem", "duration": 783, "translated_title": "Pythagorean theorem", "translated_description_html": "Pythagorean Theorem", "id": "23754", "description_html": "Pythagorean Theorem", "title": "Pythagorean theorem", "progress_key": "v23754", "edit_slug": "edit/v/23754", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem", "extra_properties": null, "node_slug": "v/pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.m3u8/AEIzy1kNRqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AEIzy1kNRqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23754", "sha": "9ae28f15fc1368ae3325904523c08666bb089e0e", "translated_description": "Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/AEIzy1kNRqo/hqdefault.jpg", "youtube_id": "AEIzy1kNRqo", "content_kind": "Video", "readable_id": "pythagorean-theorem"}, {"translated_youtube_id": "AA6RfgP-AHU", "relative_url": "/video/the-pythagorean-theorem", "has_questions": false, "keywords": "Introduction, to, the, Pythagorean, Theorem, CC_8_G_6, CC_8_G_7, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/the-pythagorean-theorem", "duration": 646, "translated_title": "The Pythagorean theorem intro", "translated_description_html": "Introduction to the Pythagorean Theorem", "id": "2600799", "description_html": "Introduction to the Pythagorean Theorem", "title": "The Pythagorean theorem intro", "progress_key": "v2600799", "edit_slug": "edit/v/2600799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Pythagorean Theorem", "extra_properties": {"original_url": ""}, "node_slug": "v/the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.m3u8/AA6RfgP-AHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AA6RfgP-AHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600799", "sha": "8b023a9d2ec9cf5894be44fe2e8221f24ce10f34", "translated_description": "Introduction to the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/AA6RfgP-AHU/hqdefault.jpg", "youtube_id": "AA6RfgP-AHU", "content_kind": "Video", "readable_id": "the-pythagorean-theorem"}, {"translated_youtube_id": "JVrkLIcA2qw", "relative_url": "/video/pythagorean-theorem-1", "has_questions": false, "keywords": "U07_L2_T1_we1, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-1", "duration": 272, "translated_title": "Pythagorean theorem 1", "translated_description_html": "Pythagorean Theorem 1", "id": "26902", "description_html": "Pythagorean Theorem 1", "title": "Pythagorean theorem 1", "progress_key": "v26902", "edit_slug": "edit/v/26902", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 1", "extra_properties": null, "node_slug": "v/pythagorean-theorem-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.mp4/JVrkLIcA2qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.mp4/JVrkLIcA2qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.m3u8/JVrkLIcA2qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVrkLIcA2qw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26902", "sha": "f152d6b0d2788b61e0b12b81878e12d85d5fd659", "translated_description": "Pythagorean Theorem 1", "image_url": "https://img.youtube.com/vi/JVrkLIcA2qw/hqdefault.jpg", "youtube_id": "JVrkLIcA2qw", "content_kind": "Video", "readable_id": "pythagorean-theorem-1"}, {"translated_youtube_id": "O64YFlX1_aI", "relative_url": "/video/pythagorean-theorem-2", "has_questions": false, "keywords": "U07_L2_T1_we2, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-2", "duration": 257, "translated_title": "Pythagorean theorem 2", "translated_description_html": "Pythagorean Theorem 2", "id": "26903", "description_html": "Pythagorean Theorem 2", "title": "Pythagorean theorem 2", "progress_key": "v26903", "edit_slug": "edit/v/26903", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 2", "extra_properties": null, "node_slug": "v/pythagorean-theorem-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.mp4/O64YFlX1_aI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.mp4/O64YFlX1_aI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.m3u8/O64YFlX1_aI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O64YFlX1_aI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26903", "sha": "6ad691cd6268ebeb8f8fd8485b5de95a79ebcae3", "translated_description": "Pythagorean Theorem 2", "image_url": "https://img.youtube.com/vi/O64YFlX1_aI/hqdefault.jpg", "youtube_id": "O64YFlX1_aI", "content_kind": "Video", "readable_id": "pythagorean-theorem-2"}, {"translated_youtube_id": "T0IOrRETWhI", "relative_url": "/video/pythagorean-theorem-3", "has_questions": false, "keywords": "U07_L2_T1_we3, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-3", "duration": 180, "translated_title": "Pythagorean theorem 3", "translated_description_html": "Pythagorean Theorem 3", "id": "26766", "description_html": "Pythagorean Theorem 3", "title": "Pythagorean theorem 3", "progress_key": "v26766", "edit_slug": "edit/v/26766", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 3", "extra_properties": null, "node_slug": "v/pythagorean-theorem-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.mp4/T0IOrRETWhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.mp4/T0IOrRETWhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.m3u8/T0IOrRETWhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T0IOrRETWhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26766", "sha": "3da624cee832c98e7f1bd03245e34a35fbb75289", "translated_description": "Pythagorean Theorem 3", "image_url": "https://img.youtube.com/vi/T0IOrRETWhI/hqdefault.jpg", "youtube_id": "T0IOrRETWhI", "content_kind": "Video", "readable_id": "pythagorean-theorem-3"}, {"translated_youtube_id": "nyZuite17Pc", "relative_url": "/video/distance-formula", "has_questions": false, "keywords": "Distance, formula, points, pythagorean, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/distance-formula", "duration": 579, "translated_title": "Distance formula", "translated_description_html": "How to find the distance between lines using the Pythagorean Formula", "id": "23756", "description_html": "How to find the distance between lines using the Pythagorean Formula", "title": "Distance formula", "progress_key": "v23756", "edit_slug": "edit/v/23756", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to find the distance between lines using the Pythagorean Formula", "extra_properties": null, "node_slug": "v/distance-formula", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.m3u8/nyZuite17Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nyZuite17Pc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23756", "sha": "79f15ffdb5b98d8f8d05fab1e74e57abc91e473b", "translated_description": "How to find the distance between lines using the Pythagorean Formula", "image_url": "https://img.youtube.com/vi/nyZuite17Pc/hqdefault.jpg", "youtube_id": "nyZuite17Pc", "content_kind": "Video", "readable_id": "distance-formula"}], "twitter_url": "", "translated_description": "Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful.\n\nCommon Core Standards: 8.G.B.7, 8.G.B.8", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful.\n\nCommon Core Standards: 8.G.B.7, 8.G.B.8", "x_pos": 0.0, "node_slug": "cc-8th-pythagorean-theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb1f2931", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem", "slug": "cc-8th-pythagorean-theorem", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "32856b2b545821daca3f0ff819acc4ca90e66634", "standalone_title": "The Pythagorean Theorem", "y_pos": 0.0, "current_revision_key": "32856b2b545821daca3f0ff819acc4ca90e66634", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs", "translated_standalone_title": "Pythagorean Theorem Proofs", "translated_title": "Pythagorean theorem proofs", "gplus_url": "", "id": "xf785dd16", "old_key_name": null, "hide": false, "title": "Pythagorean theorem proofs", "child_data": [{"kind": "Video", "id": 1199652424}, {"kind": "Video", "id": 1199369003}, {"kind": "Video", "id": 290279020}, {"kind": "Video", "id": 1199568849}], "children": [{"translated_youtube_id": "EINpkcphsPQ", "relative_url": "/video/garfield-s-proof-of-the-pythagorean-theorem", "has_questions": false, "keywords": "pythagoras", "ka_url": "http://www.khanacademy.org/video/garfield-s-proof-of-the-pythagorean-theorem", "duration": 536, "translated_title": "Garfield's proof of the Pythagorean theorem", "translated_description_html": "James Garfield's proof of the Pythagorean Theorem.", "id": "1199652424", "description_html": "James Garfield's proof of the Pythagorean Theorem.", "title": "Garfield's proof of the Pythagorean theorem", "progress_key": "v1199652424", "edit_slug": "edit/v/1199652424", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "James Garfield's proof of the Pythagorean Theorem.", "extra_properties": null, "node_slug": "v/garfield-s-proof-of-the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-05T16:31:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.mp4/EINpkcphsPQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.mp4/EINpkcphsPQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.m3u8/EINpkcphsPQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EINpkcphsPQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199652424", "sha": "d4392490a908eca8ce462c91ac438622bce66927", "translated_description": "James Garfield's proof of the Pythagorean Theorem.", "image_url": "https://img.youtube.com/vi/EINpkcphsPQ/hqdefault.jpg", "youtube_id": "EINpkcphsPQ", "content_kind": "Video", "readable_id": "garfield-s-proof-of-the-pythagorean-theorem"}, {"translated_youtube_id": "1ul8g55dYA4", "relative_url": "/video/bhaskara-s-proof-of-pythagorean-theorem-avi", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bhaskara-s-proof-of-pythagorean-theorem-avi", "duration": 543, "translated_title": "Bhaskara's proof of the Pythagorean theorem", "translated_description_html": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "id": "1199369003", "description_html": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "title": "Bhaskara's proof of the Pythagorean theorem", "progress_key": "v1199369003", "edit_slug": "edit/v/1199369003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "extra_properties": null, "node_slug": "v/bhaskara-s-proof-of-pythagorean-theorem-avi", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-05T16:46:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.mp4/1ul8g55dYA4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.mp4/1ul8g55dYA4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.m3u8/1ul8g55dYA4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1ul8g55dYA4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199369003", "sha": "c729949b489749313775bcbdae44d0fb6ee9df92", "translated_description": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "image_url": "https://img.youtube.com/vi/1ul8g55dYA4/hqdefault.jpg", "youtube_id": "1ul8g55dYA4", "content_kind": "Video", "readable_id": "bhaskara-s-proof-of-pythagorean-theorem-avi"}, {"translated_youtube_id": "LrS5_l-gk94", "relative_url": "/video/pythagorean-theorem-proof-using-similarity", "has_questions": false, "keywords": "Pythagorean, Theorem, Proof, Using, Similarity", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-proof-using-similarity", "duration": 592, "translated_title": "Pythagorean theorem proof using similarity", "translated_description_html": "Proof of the Pythagorean Theorem using similarity", "id": "290279020", "description_html": "Proof of the Pythagorean Theorem using similarity", "title": "Pythagorean theorem proof using similarity", "progress_key": "v290279020", "edit_slug": "edit/v/290279020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Proof of the Pythagorean Theorem using similarity", "extra_properties": null, "node_slug": "v/pythagorean-theorem-proof-using-similarity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T17:51:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.mp4/LrS5_l-gk94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.mp4/LrS5_l-gk94.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.m3u8/LrS5_l-gk94.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LrS5_l-gk94&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v290279020", "sha": "6f2c0d56620d5ed40e1a7c0f5045f343e61cd485", "translated_description": "Proof of the Pythagorean Theorem using similarity", "image_url": "https://img.youtube.com/vi/LrS5_l-gk94/hqdefault.jpg", "youtube_id": "LrS5_l-gk94", "content_kind": "Video", "readable_id": "pythagorean-theorem-proof-using-similarity"}, {"translated_youtube_id": "rcBaqkGp7CA", "relative_url": "/video/another-pythagorean-theorem-proof", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/another-pythagorean-theorem-proof", "duration": 623, "translated_title": "Another Pythagorean theorem proof", "translated_description_html": "Visually proving the Pythagorean Theorem", "id": "1199568849", "description_html": "Visually proving the Pythagorean Theorem", "title": "Another Pythagorean theorem proof", "progress_key": "v1199568849", "edit_slug": "edit/v/1199568849", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visually proving the Pythagorean Theorem", "extra_properties": null, "node_slug": "v/another-pythagorean-theorem-proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-05T16:50:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.mp4/rcBaqkGp7CA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.mp4/rcBaqkGp7CA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.m3u8/rcBaqkGp7CA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcBaqkGp7CA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199568849", "sha": "fcc10bbb0b6bc27011b119db2a136b82b5a44744", "translated_description": "Visually proving the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/rcBaqkGp7CA/hqdefault.jpg", "youtube_id": "rcBaqkGp7CA", "content_kind": "Video", "readable_id": "another-pythagorean-theorem-proof"}], "twitter_url": "", "translated_description": "The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.\n\nCommon Core Standard: 8.G.B.6", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.\n\nCommon Core Standard: 8.G.B.6", "x_pos": 0.0, "node_slug": "cc-8th-pythagorean-proofs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf785dd16", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs", "slug": "cc-8th-pythagorean-proofs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8f955b42bc5bc39775a6ddd7efdc86e1f1536325", "standalone_title": "Pythagorean Theorem Proofs", "y_pos": 0.0, "current_revision_key": "8f955b42bc5bc39775a6ddd7efdc86e1f1536325", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume", "translated_standalone_title": "Volume", "translated_title": "Volume", "gplus_url": "", "id": "x531b2f8e", "old_key_name": null, "hide": false, "title": "Volume", "child_data": [{"kind": "Video", "id": 60129394}, {"kind": "Video", "id": 60129395}, {"kind": "Video", "id": 372432663}, {"kind": "Exercise", "id": "x0a326293"}], "children": [{"translated_youtube_id": "ZqzAOZ9pP9Q", "relative_url": "/video/solid-geometry-volume", "has_questions": false, "keywords": "volume, geometry, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_a, CC_5_MD_5_b, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solid-geometry-volume", "duration": 236, "translated_title": "Solid geometry volume", "translated_description_html": "Volume of triangular prisms and cubes", "id": "60129394", "description_html": "Volume of triangular prisms and cubes", "title": "Solid geometry volume", "progress_key": "v60129394", "edit_slug": "edit/v/60129394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of triangular prisms and cubes", "extra_properties": null, "node_slug": "v/solid-geometry-volume", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.m3u8/ZqzAOZ9pP9Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZqzAOZ9pP9Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129394", "sha": "63a4961f47ff374655de6b3022a398c9ccc2968e", "translated_description": "Volume of triangular prisms and cubes", "image_url": "https://img.youtube.com/vi/ZqzAOZ9pP9Q/hqdefault.jpg", "youtube_id": "ZqzAOZ9pP9Q", "content_kind": "Video", "readable_id": "solid-geometry-volume"}, {"translated_youtube_id": "gL3HxBQyeg0", "relative_url": "/video/cylinder-volume-and-surface-area", "has_questions": false, "keywords": "cylinder, volume, surface, area, CC_8_G_9", "ka_url": "http://www.khanacademy.org/video/cylinder-volume-and-surface-area", "duration": 487, "translated_title": "Cylinder volume and surface area", "translated_description_html": "Finding the volume and surface area of a cylinder", "id": "60129395", "description_html": "Finding the volume and surface area of a cylinder", "title": "Cylinder volume and surface area", "progress_key": "v60129395", "edit_slug": "edit/v/60129395", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the volume and surface area of a cylinder", "extra_properties": null, "node_slug": "v/cylinder-volume-and-surface-area", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.m3u8/gL3HxBQyeg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gL3HxBQyeg0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129395", "sha": "ad913aa24c157347dcf7c157f7e0485d4fb39000", "translated_description": "Finding the volume and surface area of a cylinder", "image_url": "https://img.youtube.com/vi/gL3HxBQyeg0/hqdefault.jpg", "youtube_id": "gL3HxBQyeg0", "content_kind": "Video", "readable_id": "cylinder-volume-and-surface-area"}, {"translated_youtube_id": "IelS2vg7JO8", "relative_url": "/video/volume-of-a-sphere", "has_questions": false, "keywords": "u07_l3_t1_we2, Volume, of, Sphere", "ka_url": "http://www.khanacademy.org/video/volume-of-a-sphere", "duration": 155, "translated_title": "Volume of a sphere", "translated_description_html": "Volume of a Sphere", "id": "372432663", "description_html": "Volume of a Sphere", "title": "Volume of a sphere", "progress_key": "v372432663", "edit_slug": "edit/v/372432663", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of a Sphere", "extra_properties": null, "node_slug": "v/volume-of-a-sphere", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.mp4/IelS2vg7JO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.mp4/IelS2vg7JO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.m3u8/IelS2vg7JO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IelS2vg7JO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432663", "sha": "5040614ec371f41df2980abfc9bd26215343c602", "translated_description": "Volume of a Sphere", "image_url": "https://img.youtube.com/vi/IelS2vg7JO8/hqdefault.jpg", "youtube_id": "IelS2vg7JO8", "content_kind": "Video", "readable_id": "volume-of-a-sphere"}], "twitter_url": "", "translated_description": "Let's see how to find the volumes of cylinders, spheres and other three dimensional shapes.\n\nCommon Core Standard: 8.G.C.9", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's see how to find the volumes of cylinders, spheres and other three dimensional shapes.\n\nCommon Core Standard: 8.G.C.9", "x_pos": 0.0, "node_slug": "cc-8th-volume", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax531b2f8e", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume", "slug": "cc-8th-volume", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cdb66db78975856f82597a444aa827fbba3bf934", "standalone_title": "Volume", "y_pos": 0.0, "current_revision_key": "cdb66db78975856f82597a444aa827fbba3bf934", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-geometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7306f126", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-geometry", "extended_slug": "math/cc-eighth-grade-math/cc-8th-geometry", "slug": "cc-8th-geometry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "92ce585dda1082518db58ab8c3b5d762d31e007d", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "92ce585dda1082518db58ab8c3b5d762d31e007d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-data", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data", "translated_standalone_title": "Data and modeling", "translated_title": "Data and modeling", "gplus_url": "", "id": "xe83906b3", "old_key_name": null, "hide": false, "title": "Data and modeling", "child_data": [{"kind": "Topic", "id": "x015cd70e"}, {"kind": "Topic", "id": "x021d22b4"}, {"kind": "Topic", "id": "xc7c4ef64"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit", "translated_standalone_title": "Estimating line of best fit", "translated_title": "Estimating line of best fit", "gplus_url": "", "id": "x015cd70e", "old_key_name": null, "hide": false, "title": "Estimating line of best fit", "child_data": [{"kind": "Video", "id": "x61240c40"}, {"kind": "Exercise", "id": 917310246}], "children": [{"translated_youtube_id": "ioieTr41L24", "relative_url": "/video/estimating-the-line-of-best-fit-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/estimating-the-line-of-best-fit-exercise", "duration": 77, "translated_title": "Estimating the line of best fit exercise", "translated_description_html": "", "id": "x61240c40", "description_html": "", "title": "Estimating the line of best fit exercise", "progress_key": "vx61240c40", "edit_slug": "edit/v/x61240c40", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/estimating-the-line-of-best-fit-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-02T18:22:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.mp4/ioieTr41L24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.mp4/ioieTr41L24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.m3u8/ioieTr41L24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ioieTr41L24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx61240c40", "sha": "f7beb772fb98f5320d02ab79bd33c5b81011bf73", "translated_description": "", "image_url": "https://img.youtube.com/vi/ioieTr41L24/hqdefault.jpg", "youtube_id": "ioieTr41L24", "content_kind": "Video", "readable_id": "estimating-the-line-of-best-fit-exercise"}], "twitter_url": "", "translated_description": "Lines are widely used to model relationships between two quantitative variables. In this tutorial, for scatter plots that suggest a linear association, we'll informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line\n\nCommon Core Standard: 8.SP.A.2\t", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Lines are widely used to model relationships between two quantitative variables. In this tutorial, for scatter plots that suggest a linear association, we'll informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line\n\nCommon Core Standard: 8.SP.A.2\t", "x_pos": 0.0, "node_slug": "cc-8th-line-of-best-fit", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax015cd70e", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit", "extended_slug": "math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit", "slug": "cc-8th-line-of-best-fit", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ebb757bcfeec8872205522033757dbb94ba06738", "standalone_title": "Estimating line of best fit", "y_pos": 0.0, "current_revision_key": "ebb757bcfeec8872205522033757dbb94ba06738", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots", "translated_standalone_title": "Scatter plots", "translated_title": "Scatter plots", "gplus_url": "", "id": "x021d22b4", "old_key_name": null, "hide": false, "title": "Scatter plots", "child_data": [{"kind": "Video", "id": "x905613d7"}, {"kind": "Video", "id": "x95ffaffd"}, {"kind": "Exercise", "id": "x6209d2ce"}, {"kind": "Video", "id": "x486a060d"}, {"kind": "Video", "id": "xa44bf96c"}, {"kind": "Exercise", "id": "xd167ef1b"}], "children": [{"translated_youtube_id": "Jpbm5YgciqI", "relative_url": "/video/scatter-plot-interpreting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/scatter-plot-interpreting", "duration": 146, "translated_title": "Studying, shoe size, and test scores scatter plots", "translated_description_html": "", "id": "x905613d7", "description_html": "", "title": "Studying, shoe size, and test scores scatter plots", "progress_key": "vx905613d7", "edit_slug": "edit/v/x905613d7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/scatter-plot-interpreting", "deleted": false, "backup_timestamp": "2013-10-29T00:25:37Z", "date_added": "2013-10-29T00:25:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jpbm5YgciqI.mp4/Jpbm5YgciqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jpbm5YgciqI.mp4/Jpbm5YgciqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jpbm5YgciqI.m3u8/Jpbm5YgciqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jpbm5YgciqI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx905613d7", "sha": "4b9b8671289227dd3f99dfa20525afbdb57045bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Jpbm5YgciqI/hqdefault.jpg", "youtube_id": "Jpbm5YgciqI", "content_kind": "Video", "readable_id": "scatter-plot-interpreting"}, {"translated_youtube_id": "F5uiFXECnVY", "relative_url": "/video/trends-in-smoking-scatter-plot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trends-in-smoking-scatter-plot", "duration": 155, "translated_title": "People smoking less over time scatter plot", "translated_description_html": "


<\/p>", "id": "x95ffaffd", "description_html": "


<\/p>", "title": "People smoking less over time scatter plot", "progress_key": "vx95ffaffd", "edit_slug": "edit/v/x95ffaffd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/trends-in-smoking-scatter-plot", "deleted": false, "backup_timestamp": "2013-10-29T00:25:36Z", "date_added": "2013-10-29T00:25:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5uiFXECnVY.mp4/F5uiFXECnVY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F5uiFXECnVY.mp4/F5uiFXECnVY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5uiFXECnVY.m3u8/F5uiFXECnVY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F5uiFXECnVY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx95ffaffd", "sha": "33798153e6e9e46c40566355adf6e3621de3b192", "translated_description": "", "image_url": "https://img.youtube.com/vi/F5uiFXECnVY/hqdefault.jpg", "youtube_id": "F5uiFXECnVY", "content_kind": "Video", "readable_id": "trends-in-smoking-scatter-plot"}, {"translated_youtube_id": "sHbX58y5D4U", "relative_url": "/video/constructing-scatter-plot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-scatter-plot", "duration": 152, "translated_title": "Constructing a scatter plot", "translated_description_html": "", "id": "x486a060d", "description_html": "", "title": "Constructing a scatter plot", "progress_key": "vx486a060d", "edit_slug": "edit/v/x486a060d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-scatter-plot", "deleted": false, "backup_timestamp": "2013-10-30T16:19:01Z", "date_added": "2013-10-30T16:19:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sHbX58y5D4U.mp4/sHbX58y5D4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sHbX58y5D4U.mp4/sHbX58y5D4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sHbX58y5D4U.m3u8/sHbX58y5D4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sHbX58y5D4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx486a060d", "sha": "65f0774c84e807e9a03b81fed30102c81d2df42b", "translated_description": "", "image_url": "https://img.youtube.com/vi/sHbX58y5D4U/hqdefault.jpg", "youtube_id": "sHbX58y5D4U", "content_kind": "Video", "readable_id": "constructing-scatter-plot"}, {"translated_youtube_id": "aT2UN7y1rhc", "relative_url": "/video/constructing-scatter-plot-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-scatter-plot-exercise-example", "duration": 118, "translated_title": "Constructing scatter plot exercise example", "translated_description_html": "", "id": "xa44bf96c", "description_html": "", "title": "Constructing scatter plot exercise example", "progress_key": "vxa44bf96c", "edit_slug": "edit/v/xa44bf96c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-scatter-plot-exercise-example", "deleted": false, "backup_timestamp": "2013-10-30T16:19:01Z", "date_added": "2013-10-30T16:19:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aT2UN7y1rhc.mp4/aT2UN7y1rhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aT2UN7y1rhc.mp4/aT2UN7y1rhc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aT2UN7y1rhc.m3u8/aT2UN7y1rhc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aT2UN7y1rhc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa44bf96c", "sha": "f4553ef75969ce20d78f84a5e358a18f34523637", "translated_description": "", "image_url": "https://img.youtube.com/vi/aT2UN7y1rhc/hqdefault.jpg", "youtube_id": "aT2UN7y1rhc", "content_kind": "Video", "readable_id": "constructing-scatter-plot-exercise-example"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-scatter-plots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T04:01:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax021d22b4", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots", "extended_slug": "math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots", "slug": "cc-8th-scatter-plots", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5ab497c3746553147243d2d66d890bc7db863029", "standalone_title": "Scatter plots", "y_pos": 0.0, "current_revision_key": "5ab497c3746553147243d2d66d890bc7db863029", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data", "web_url": "", "ka_url": "http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data", "translated_standalone_title": "Patterns in data", "translated_title": "Patterns in data", "gplus_url": "", "id": "xc7c4ef64", "old_key_name": null, "hide": false, "title": "Patterns in data", "child_data": [{"kind": "Video", "id": "x47ddceeb"}, {"kind": "Video", "id": "x5409e0ad"}, {"kind": "Exercise", "id": "x2fd3ad4e"}, {"kind": "Video", "id": "x7f0764fa"}, {"kind": "Exercise", "id": "x0dfbf691"}], "children": [{"translated_youtube_id": "d4WE4SnhBDU", "relative_url": "/video/smoking-1945-extrapolation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/smoking-1945-extrapolation", "duration": 287, "translated_title": "Smoking in 1945", "translated_description_html": "", "id": "x47ddceeb", "description_html": "", "title": "Smoking in 1945", "progress_key": "vx47ddceeb", "edit_slug": "edit/v/x47ddceeb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/smoking-1945-extrapolation", "deleted": false, "backup_timestamp": "2013-10-29T00:25:36Z", "date_added": "2013-10-29T00:25:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d4WE4SnhBDU.mp4/d4WE4SnhBDU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d4WE4SnhBDU.mp4/d4WE4SnhBDU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d4WE4SnhBDU.m3u8/d4WE4SnhBDU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d4WE4SnhBDU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx47ddceeb", "sha": "3af50f85ad626a93df26050351326c99d104632d", "translated_description": "", "image_url": "https://img.youtube.com/vi/d4WE4SnhBDU/hqdefault.jpg", "youtube_id": "d4WE4SnhBDU", "content_kind": "Video", "readable_id": "smoking-1945-extrapolation"}, {"translated_youtube_id": "mfX_yUvwJho", "relative_url": "/video/interpreting-trend-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-trend-line", "duration": 208, "translated_title": "Interpreting a trend line", "translated_description_html": "", "id": "x5409e0ad", "description_html": "", "title": "Interpreting a trend line", "progress_key": "vx5409e0ad", "edit_slug": "edit/v/x5409e0ad", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-trend-line", "deleted": false, "backup_timestamp": "2013-10-29T00:25:37Z", "date_added": "2013-10-29T00:25:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mfX_yUvwJho.mp4/mfX_yUvwJho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mfX_yUvwJho.mp4/mfX_yUvwJho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mfX_yUvwJho.m3u8/mfX_yUvwJho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mfX_yUvwJho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5409e0ad", "sha": "6fbd49b47570f5baf25fd7882eea5e9d00891a3f", "translated_description": "", "image_url": "https://img.youtube.com/vi/mfX_yUvwJho/hqdefault.jpg", "youtube_id": "mfX_yUvwJho", "content_kind": "Video", "readable_id": "interpreting-trend-line"}, {"translated_youtube_id": "ahyWUV7AwKw", "relative_url": "/video/video-games-and-violence-bivariate-data", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/video-games-and-violence-bivariate-data", "duration": 201, "translated_title": "Video games and violence", "translated_description_html": "", "id": "x7f0764fa", "description_html": "", "title": "Video games and violence", "progress_key": "vx7f0764fa", "edit_slug": "edit/v/x7f0764fa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/video-games-and-violence-bivariate-data", "deleted": false, "backup_timestamp": "2013-10-29T00:25:36Z", "date_added": "2013-10-29T00:25:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ahyWUV7AwKw.mp4/ahyWUV7AwKw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ahyWUV7AwKw.mp4/ahyWUV7AwKw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ahyWUV7AwKw.m3u8/ahyWUV7AwKw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ahyWUV7AwKw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f0764fa", "sha": "c9f789fe69ae0701d370000bf354aa7c04cd69ff", "translated_description": "", "image_url": "https://img.youtube.com/vi/ahyWUV7AwKw/hqdefault.jpg", "youtube_id": "ahyWUV7AwKw", "content_kind": "Video", "readable_id": "video-games-and-violence-bivariate-data"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-patterns-in-data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T04:01:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc7c4ef64", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data", "extended_slug": "math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data", "slug": "cc-8th-patterns-in-data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "94f626bda0399195306ef5102881612d691fb02f", "standalone_title": "Patterns in data", "y_pos": 0.0, "current_revision_key": "94f626bda0399195306ef5102881612d691fb02f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cc-8th-data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:22Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe83906b3", "topic_page_url": "/math/cc-eighth-grade-math/cc-8th-data", "extended_slug": "math/cc-eighth-grade-math/cc-8th-data", "slug": "cc-8th-data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a281b5697f4346137de4e95538c33822a517cc6e", "standalone_title": "Data and modeling", "y_pos": 0.0, "current_revision_key": "a281b5697f4346137de4e95538c33822a517cc6e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life (no way to avoid the miseries of wedding planning), but at least your mathematical life. Seriously, we're not kidding. If you get the equations and functions and systems that we cover here, most of high school will feel intuitive (even relaxing). If you don't, well.. at least you have high school to catch up :)\n\nOn top of that, we will sharpen many of the skills that you last saw in 6th and 7th grades. This includes extending our knowledge of exponents to negative exponents and exponent properties and our knowledge of the number system to irrational numbers!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life (no way to avoid the miseries of wedding planning), but at least your mathematical life. Seriously, we're not kidding. If you get the equations and functions and systems that we cover here, most of high school will feel intuitive (even relaxing). If you don't, well.. at least you have high school to catch up :)\n\nOn top of that, we will sharpen many of the skills that you last saw in 6th and 7th grades. This includes extending our knowledge of exponents to negative exponents and exponent properties and our knowledge of the number system to irrational numbers!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)", "x_pos": 0.0, "node_slug": "cc-eighth-grade-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-18T20:58:21Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c7044d7", "topic_page_url": "/math/cc-eighth-grade-math", "extended_slug": "math/cc-eighth-grade-math", "slug": "cc-eighth-grade-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4d84d8db17011dfb37f27021725ab1467f8027f7", "standalone_title": "8th grade (U.S.)", "y_pos": 0.0, "current_revision_key": "4d84d8db17011dfb37f27021725ab1467f8027f7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic", "translated_standalone_title": "Arithmetic and pre-algebra", "translated_title": "Arithmetic and pre-algebra", "gplus_url": "", "id": "x18ca194a", "old_key_name": "GqKvZ7NQQ6aOOJfGCtUaOwowXp1Up39aiK8VRKhs", "hide": false, "title": "Arithmetic and pre-algebra", "child_data": [{"kind": "Topic", "id": "x45f9dd34"}, {"kind": "Topic", "id": "xd096915e"}, {"kind": "Topic", "id": "x3b866d76"}, {"kind": "Topic", "id": "xa359f5de"}, {"kind": "Topic", "id": "x80dafc21"}, {"kind": "Topic", "id": "xd47ef507"}, {"kind": "Topic", "id": "x596e2fc5"}, {"kind": "Topic", "id": "x88a3e8df"}, {"kind": "Topic", "id": "x900d9176"}, {"kind": "Topic", "id": "x910b651b"}, {"kind": "Topic", "id": "xa6bcd72f"}, {"kind": "Topic", "id": "xc850a7c9"}], "children": [{"icon_src": "/images/power-mode/badges/addition-subtraction-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction", "translated_standalone_title": "Addition and subtraction", "translated_title": "Addition and subtraction", "gplus_url": "", "id": "x45f9dd34", "old_key_name": "KHDySQBco4Z5ChI1U4UpyHU954YJ8QahCFcDsImA", "hide": false, "title": "Addition and subtraction", "child_data": [{"kind": "Topic", "id": "xe77696eb"}, {"kind": "Topic", "id": "x8122f3ca"}, {"kind": "Topic", "id": "x11cb17ac"}, {"kind": "Topic", "id": "x73b9bfac"}, {"kind": "Topic", "id": "xa65b7e43"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction/basic_addition", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition", "translated_standalone_title": "Intro to addition and subtraction", "translated_title": "Intro to addition and subtraction", "gplus_url": "", "id": "xe77696eb", "old_key_name": "AvxVtYgEsDcNIjWn5OM5lnpxb7cl50gNZhuZCn0F", "hide": false, "title": "Intro to addition and subtraction", "child_data": [{"kind": "Video", "id": 23798}, {"kind": "Exercise", "id": 3001}, {"kind": "Video", "id": 23808}, {"kind": "Exercise", "id": 2003}], "children": [{"translated_youtube_id": "AuX7nPBqDts", "relative_url": "/video/basic-addition", "has_questions": false, "keywords": "Math, Addition, Khan, Academy, CC_1_OA_1, CC_1_OA_2, CC_1_OA_3, CC_1_OA_6", "ka_url": "http://www.khanacademy.org/video/basic-addition", "duration": 462, "translated_title": "Basic addition", "translated_description_html": "

Introduction to addition. Multiple visual ways to represent addition.<\/p>", "id": "23798", "description_html": "

Introduction to addition. Multiple visual ways to represent addition.<\/p>", "title": "Basic addition", "progress_key": "v23798", "edit_slug": "edit/v/23798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to addition. Multiple visual ways to represent addition.", "extra_properties": {}, "node_slug": "v/basic-addition", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:30:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuX7nPBqDts.mp4/AuX7nPBqDts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuX7nPBqDts.mp4/AuX7nPBqDts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AuX7nPBqDts.m3u8/AuX7nPBqDts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AuX7nPBqDts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23798", "sha": "304a2b89e3a1d78fa1ec7cea1abe5444e4feaf84", "translated_description": "Introduction to addition. Multiple visual ways to represent addition.", "image_url": "https://img.youtube.com/vi/AuX7nPBqDts/hqdefault.jpg", "youtube_id": "AuX7nPBqDts", "content_kind": "Video", "readable_id": "basic-addition"}, {"translated_youtube_id": "aNqG4ChKShI", "relative_url": "/video/basic-subtraction", "has_questions": false, "keywords": "math, subtraction, CC_1_OA_5, CC_1_OA_4, CC_1_OA_6", "ka_url": "http://www.khanacademy.org/video/basic-subtraction", "duration": 512, "translated_title": "Basic subtraction", "translated_description_html": "

Introduction to subtraction<\/p>", "id": "23808", "description_html": "

Introduction to subtraction<\/p>", "title": "Basic subtraction", "progress_key": "v23808", "edit_slug": "edit/v/23808", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to subtraction", "extra_properties": {}, "node_slug": "v/basic-subtraction", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:30:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aNqG4ChKShI.mp4/aNqG4ChKShI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aNqG4ChKShI.mp4/aNqG4ChKShI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aNqG4ChKShI.m3u8/aNqG4ChKShI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aNqG4ChKShI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23808", "sha": "3f4d1ae4d2b147620d412e50aa5f1179ba8157a6", "translated_description": "Introduction to subtraction", "image_url": "https://img.youtube.com/vi/aNqG4ChKShI/hqdefault.jpg", "youtube_id": "aNqG4ChKShI", "content_kind": "Video", "readable_id": "basic-subtraction"}], "twitter_url": "", "translated_description": "Adding and subtracting is the basis of all mathematics. This tutorial introduces you to one-digit addition and subtraction. You might become pretty familiar with the number line too!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Adding and subtracting is the basis of all mathematics. This tutorial introduces you to one-digit addition and subtraction. You might become pretty familiar with the number line too!", "x_pos": 0.0, "node_slug": "basic_addition", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe77696eb", "topic_page_url": "/math/arithmetic/addition-subtraction/basic_addition", "extended_slug": "math/arithmetic/addition-subtraction/basic_addition", "slug": "basic_addition", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cfc1998e273dca208a754a0da8654021a3ec86d7", "standalone_title": "Intro to addition and subtraction", "y_pos": 0.0, "current_revision_key": "cfc1998e273dca208a754a0da8654021a3ec86d7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction/two_dig_add_sub", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub", "translated_standalone_title": "Two digit addition and subtraction", "translated_title": "Two digit addition and subtraction", "gplus_url": "", "id": "x8122f3ca", "old_key_name": "Fu3-DfupnQm8h0K-fd9g17ojeGl3l7oMtZfEdbB7", "hide": false, "title": "Two digit addition and subtraction", "child_data": [{"kind": "Video", "id": 2600666}, {"kind": "Exercise", "id": 3002}, {"kind": "Video", "id": 23810}, {"kind": "Video", "id": 158927006}, {"kind": "Exercise", "id": 3004}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23802}], "children": [{"translated_youtube_id": "b22tMEc6Kko", "relative_url": "/video/adding-whole-numbers-and-applications-1", "has_questions": false, "keywords": "U01_L2_T1_we1, Adding, Whole, Numbers, and, Applications, CC_1_NBT_2_a, CC_1_NBT_2_b, CC_1_NBT_3", "ka_url": "http://www.khanacademy.org/video/adding-whole-numbers-and-applications-1", "duration": 92, "translated_title": "Example: Adding two digit numbers (no carrying)", "translated_description_html": "Adding Whole Numbers and Applications 1", "id": "2600666", "description_html": "Adding Whole Numbers and Applications 1", "title": "Example: Adding two digit numbers (no carrying)", "progress_key": "v2600666", "edit_slug": "edit/v/2600666", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Whole Numbers and Applications 1", "extra_properties": null, "node_slug": "v/adding-whole-numbers-and-applications-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b22tMEc6Kko.mp4/b22tMEc6Kko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b22tMEc6Kko.mp4/b22tMEc6Kko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b22tMEc6Kko.m3u8/b22tMEc6Kko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b22tMEc6Kko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600666", "sha": "87ad80047a8e26eb949b45c31c76250ec2985801", "translated_description": "Adding Whole Numbers and Applications 1", "image_url": "https://img.youtube.com/vi/b22tMEc6Kko/hqdefault.jpg", "youtube_id": "b22tMEc6Kko", "content_kind": "Video", "readable_id": "adding-whole-numbers-and-applications-1"}, {"translated_youtube_id": "incKJchBCLo", "relative_url": "/video/subtraction-2", "has_questions": false, "keywords": "subtraction, difference, take, away, CC_1_OA_6, CC_2_OA_1", "ka_url": "http://www.khanacademy.org/video/subtraction-2", "duration": 752, "translated_title": "Subtraction 2", "translated_description_html": "Different ways to view subtraction", "id": "23810", "description_html": "Different ways to view subtraction", "title": "Subtraction 2", "progress_key": "v23810", "edit_slug": "edit/v/23810", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Different ways to view subtraction", "extra_properties": null, "node_slug": "v/subtraction-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/incKJchBCLo.mp4/incKJchBCLo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/incKJchBCLo.mp4/incKJchBCLo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/incKJchBCLo.m3u8/incKJchBCLo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=incKJchBCLo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23810", "sha": "2ac457d4b72732412505544c175f98346b811341", "translated_description": "Different ways to view subtraction", "image_url": "https://img.youtube.com/vi/incKJchBCLo/hqdefault.jpg", "youtube_id": "incKJchBCLo", "content_kind": "Video", "readable_id": "subtraction-2"}, {"translated_youtube_id": "sAw71J2kYJE", "relative_url": "/video/subtracting-whole-numbers", "has_questions": false, "keywords": "u01_l2_t2_we1, Subtracting, Whole, Numbers", "ka_url": "http://www.khanacademy.org/video/subtracting-whole-numbers", "duration": 174, "translated_title": "Example: 2-digit subtraction (no borrowing)", "translated_description_html": "Subtracting Whole Numbers", "id": "158927006", "description_html": "Subtracting Whole Numbers", "title": "Example: 2-digit subtraction (no borrowing)", "progress_key": "v158927006", "edit_slug": "edit/v/158927006", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Whole Numbers", "extra_properties": null, "node_slug": "v/subtracting-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-07-18T23:30:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sAw71J2kYJE.mp4/sAw71J2kYJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sAw71J2kYJE.mp4/sAw71J2kYJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sAw71J2kYJE.m3u8/sAw71J2kYJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sAw71J2kYJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158927006", "sha": "e1f48c9ab0fd1b6a62df8d1f7f20d362d2289141", "translated_description": "Subtracting Whole Numbers", "image_url": "https://img.youtube.com/vi/sAw71J2kYJE/hqdefault.jpg", "youtube_id": "sAw71J2kYJE", "content_kind": "Video", "readable_id": "subtracting-whole-numbers"}, {"translated_youtube_id": "27Kp7HJYj2c", "relative_url": "/video/level-2-addition", "has_questions": false, "keywords": "Math, addition, carrying, khan, academy, CC_1_OA_6", "ka_url": "http://www.khanacademy.org/video/level-2-addition", "duration": 588, "translated_title": "Level 2 addition", "translated_description_html": "Adding a 2 digit number to a 1 digit number. Introduction to carrying.", "id": "23802", "description_html": "Adding a 2 digit number to a 1 digit number. Introduction to carrying.", "title": "Level 2 addition", "progress_key": "v23802", "edit_slug": "edit/v/23802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding a 2 digit number to a 1 digit number. Introduction to carrying.", "extra_properties": null, "node_slug": "v/level-2-addition", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/27Kp7HJYj2c.mp4/27Kp7HJYj2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/27Kp7HJYj2c.mp4/27Kp7HJYj2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/27Kp7HJYj2c.m3u8/27Kp7HJYj2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=27Kp7HJYj2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23802", "sha": "26653319b49cdfb4782cec621e96fd08d0b013d1", "translated_description": "Adding a 2 digit number to a 1 digit number. Introduction to carrying.", "image_url": "https://img.youtube.com/vi/27Kp7HJYj2c/hqdefault.jpg", "youtube_id": "27Kp7HJYj2c", "content_kind": "Video", "readable_id": "level-2-addition"}], "twitter_url": "", "translated_description": "In this tutorial, we'll start adding and subtracting numbers that have two (yes, two!) digits. We won't be doing any carrying or borrowing (you'll learn what those are shortly) so you can see that adding or subtracting two digit numbers is really just an extension of what you already know.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll start adding and subtracting numbers that have two (yes, two!) digits. We won't be doing any carrying or borrowing (you'll learn what those are shortly) so you can see that adding or subtracting two digit numbers is really just an extension of what you already know.", "x_pos": 0.0, "node_slug": "two_dig_add_sub", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T19:38:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8122f3ca", "topic_page_url": "/math/arithmetic/addition-subtraction/two_dig_add_sub", "extended_slug": "math/arithmetic/addition-subtraction/two_dig_add_sub", "slug": "two_dig_add_sub", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5239dedd469fa2d04bb9b0290742dad0a4f9b820", "standalone_title": "Two digit addition and subtraction", "y_pos": 0.0, "current_revision_key": "5239dedd469fa2d04bb9b0290742dad0a4f9b820", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction/addition_carrying", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying", "translated_standalone_title": "Addition with carrying", "translated_title": "Addition with carrying", "gplus_url": "", "id": "x11cb17ac", "old_key_name": "OOkO5dIP3pj8DJYwXKJO048qj2MicsNEm33VwIHL", "hide": false, "title": "Addition with carrying", "child_data": [{"kind": "Video", "id": "x4f015af1"}, {"kind": "Video", "id": "xdfab4268"}, {"kind": "Video", "id": "x09fc276e"}, {"kind": "Exercise", "id": 3003}, {"kind": "Video", "id": 23806}, {"kind": "Exercise", "id": 2002}], "children": [{"translated_youtube_id": "Wm0zq-NqEFs", "relative_url": "/video/carrying-when-adding-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carrying-when-adding-three-digit-numbers", "duration": 146, "translated_title": "Carrying when adding three digit numbers", "translated_description_html": "", "id": "x4f015af1", "description_html": "", "title": "Carrying when adding three digit numbers", "progress_key": "vx4f015af1", "edit_slug": "edit/v/x4f015af1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/carrying-when-adding-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.mp4/Wm0zq-NqEFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wm0zq-NqEFs.m3u8/Wm0zq-NqEFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wm0zq-NqEFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f015af1", "sha": "a581d324d93809de688ce80a2138bc75fda506c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/Wm0zq-NqEFs/hqdefault.jpg", "youtube_id": "Wm0zq-NqEFs", "content_kind": "Video", "readable_id": "carrying-when-adding-three-digit-numbers"}, {"translated_youtube_id": "O9zSHs1TWMM", "relative_url": "/video/why-carrying-works", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-carrying-works", "duration": 150, "translated_title": "Why carrying works", "translated_description_html": "", "id": "xdfab4268", "description_html": "", "title": "Why carrying works", "progress_key": "vxdfab4268", "edit_slug": "edit/v/xdfab4268", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/why-carrying-works", "deleted": false, "backup_timestamp": "2013-10-05T00:49:22Z", "date_added": "2013-10-05T00:49:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.mp4/O9zSHs1TWMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O9zSHs1TWMM.m3u8/O9zSHs1TWMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O9zSHs1TWMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfab4268", "sha": "8bccdd6aaef21b7c9e5205687c4d7eed91897154", "translated_description": "", "image_url": "https://img.youtube.com/vi/O9zSHs1TWMM/hqdefault.jpg", "youtube_id": "O9zSHs1TWMM", "content_kind": "Video", "readable_id": "why-carrying-works"}, {"translated_youtube_id": "9hM32lsQ4aI", "relative_url": "/video/example-adding-with-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-adding-with-carrying", "duration": 184, "translated_title": "Examples of carrying when adding three digit numbers", "translated_description_html": "", "id": "x09fc276e", "description_html": "", "title": "Examples of carrying when adding three digit numbers", "progress_key": "vx09fc276e", "edit_slug": "edit/v/x09fc276e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/example-adding-with-carrying", "deleted": false, "backup_timestamp": "2013-10-05T00:49:23Z", "date_added": "2013-10-05T00:49:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.mp4/9hM32lsQ4aI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9hM32lsQ4aI.m3u8/9hM32lsQ4aI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9hM32lsQ4aI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09fc276e", "sha": "1c65b328fe1fef1a407b3e5cc8bc134380219d67", "translated_description": "", "image_url": "https://img.youtube.com/vi/9hM32lsQ4aI/hqdefault.jpg", "youtube_id": "9hM32lsQ4aI", "content_kind": "Video", "readable_id": "example-adding-with-carrying"}, {"translated_youtube_id": "fOXo4p4WDKM", "relative_url": "/video/addition-4", "has_questions": false, "keywords": "addition, carrying, CC_2_OA_1, CC_3_NBT_2, CC_4_NBT_4", "ka_url": "http://www.khanacademy.org/video/addition-4", "duration": 529, "translated_title": "Addition 4", "translated_description_html": "More practice carrying with multiple digit numbers", "id": "23806", "description_html": "More practice carrying with multiple digit numbers", "title": "Addition 4", "progress_key": "v23806", "edit_slug": "edit/v/23806", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More practice carrying with multiple digit numbers", "extra_properties": null, "node_slug": "v/addition-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fOXo4p4WDKM.mp4/fOXo4p4WDKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fOXo4p4WDKM.mp4/fOXo4p4WDKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fOXo4p4WDKM.m3u8/fOXo4p4WDKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fOXo4p4WDKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23806", "sha": "315961e2de14412d4517d04ae6500bc7daba90c6", "translated_description": "More practice carrying with multiple digit numbers", "image_url": "https://img.youtube.com/vi/fOXo4p4WDKM/hqdefault.jpg", "youtube_id": "fOXo4p4WDKM", "content_kind": "Video", "readable_id": "addition-4"}], "twitter_url": "", "translated_description": "You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the \"ones place\". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the \"ones place\". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.", "x_pos": 0.0, "node_slug": "addition_carrying", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T00:13:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11cb17ac", "topic_page_url": "/math/arithmetic/addition-subtraction/addition_carrying", "extended_slug": "math/arithmetic/addition-subtraction/addition_carrying", "slug": "addition_carrying", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f95b11d3d7581b5a9362484aac7fe053e49ac3dd", "standalone_title": "Addition with carrying", "y_pos": 0.0, "current_revision_key": "f95b11d3d7581b5a9362484aac7fe053e49ac3dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction/sub_borrowing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing", "translated_standalone_title": "Subtraction with borrowing (regrouping)", "translated_title": "Subtraction with borrowing (regrouping)", "gplus_url": "", "id": "x73b9bfac", "old_key_name": "9s5_lKi8177xffZ0BjphNaz7r59K-lKsIncZKFpo", "hide": false, "title": "Subtraction with borrowing (regrouping)", "child_data": [{"kind": "Video", "id": "x708f7c61"}, {"kind": "Video", "id": "x2ea1beb5"}, {"kind": "Video", "id": "x3d064c7e"}, {"kind": "Video", "id": "x3eaef2d6"}, {"kind": "Video", "id": "xcd3e1c25"}, {"kind": "Video", "id": "xf0c43720"}, {"kind": "Exercise", "id": 2004}, {"kind": "Video", "id": "xbedc5cb2"}, {"kind": "Exercise", "id": 3005}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23814}], "children": [{"translated_youtube_id": "9T3AAn-Cw3g", "relative_url": "/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "duration": 167, "translated_title": "Basic regrouping or borrowing when subtracting three digit numbers", "translated_description_html": "", "id": "x708f7c61", "description_html": "", "title": "Basic regrouping or borrowing when subtracting three digit numbers", "progress_key": "vx708f7c61", "edit_slug": "edit/v/x708f7c61", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:07Z", "date_added": "2013-10-05T22:51:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.mp4/9T3AAn-Cw3g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9T3AAn-Cw3g.m3u8/9T3AAn-Cw3g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9T3AAn-Cw3g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx708f7c61", "sha": "b692d0472ea3fc98c8185e200a3ef9fc04dbecd4", "translated_description": "", "image_url": "https://img.youtube.com/vi/9T3AAn-Cw3g/hqdefault.jpg", "youtube_id": "9T3AAn-Cw3g", "content_kind": "Video", "readable_id": "basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "QOtam19NQcQ", "relative_url": "/video/regrouping-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-when-subtracting-three-digit-numbers", "duration": 200, "translated_title": "Regrouping when subtracting three digit numbers", "translated_description_html": "", "id": "x2ea1beb5", "description_html": "", "title": "Regrouping when subtracting three digit numbers", "progress_key": "vx2ea1beb5", "edit_slug": "edit/v/x2ea1beb5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.mp4/QOtam19NQcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QOtam19NQcQ.m3u8/QOtam19NQcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QOtam19NQcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2ea1beb5", "sha": "832cbfed728612b9ac79807cea8ba0d6e38ec348", "translated_description": "", "image_url": "https://img.youtube.com/vi/QOtam19NQcQ/hqdefault.jpg", "youtube_id": "QOtam19NQcQ", "content_kind": "Video", "readable_id": "regrouping-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "LSaaKau63Gg", "relative_url": "/video/regrouping-twice-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-twice-when-subtracting-three-digit-numbers", "duration": 228, "translated_title": "Regrouping twice when subtracting three digit numbers", "translated_description_html": "", "id": "x3d064c7e", "description_html": "", "title": "Regrouping twice when subtracting three digit numbers", "progress_key": "vx3d064c7e", "edit_slug": "edit/v/x3d064c7e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-twice-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.mp4/LSaaKau63Gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSaaKau63Gg.m3u8/LSaaKau63Gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSaaKau63Gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3d064c7e", "sha": "3af088b4697a127005c76f44c9c3231eeeb98e24", "translated_description": "", "image_url": "https://img.youtube.com/vi/LSaaKau63Gg/hqdefault.jpg", "youtube_id": "LSaaKau63Gg", "content_kind": "Video", "readable_id": "regrouping-twice-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "3lHBgFvr3yE", "relative_url": "/video/regrouping-from-0-when-subtracting-three-digit-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-from-0-when-subtracting-three-digit-numbers", "duration": 144, "translated_title": "Regrouping from 0 when subtracting three digit numbers", "translated_description_html": "", "id": "x3eaef2d6", "description_html": "", "title": "Regrouping from 0 when subtracting three digit numbers", "progress_key": "vx3eaef2d6", "edit_slug": "edit/v/x3eaef2d6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-from-0-when-subtracting-three-digit-numbers", "deleted": false, "backup_timestamp": "2013-10-05T22:51:08Z", "date_added": "2013-10-05T22:51:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.mp4/3lHBgFvr3yE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3lHBgFvr3yE.m3u8/3lHBgFvr3yE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3lHBgFvr3yE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3eaef2d6", "sha": "3aca73f8431e7473c352f81cbadf6d3bf7aab340", "translated_description": "", "image_url": "https://img.youtube.com/vi/3lHBgFvr3yE/hqdefault.jpg", "youtube_id": "3lHBgFvr3yE", "content_kind": "Video", "readable_id": "regrouping-from-0-when-subtracting-three-digit-numbers"}, {"translated_youtube_id": "RRk5qLd__Ro", "relative_url": "/video/borrowing-once-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/borrowing-once-example-1", "duration": 225, "translated_title": "Borrowing once example 1", "translated_description_html": "", "id": "xcd3e1c25", "description_html": "", "title": "Borrowing once example 1", "progress_key": "vxcd3e1c25", "edit_slug": "edit/v/xcd3e1c25", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/borrowing-once-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-02T18:51:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RRk5qLd__Ro.mp4/RRk5qLd__Ro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RRk5qLd__Ro.mp4/RRk5qLd__Ro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RRk5qLd__Ro.m3u8/RRk5qLd__Ro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RRk5qLd__Ro&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcd3e1c25", "sha": "fecd955d141086236f469434b6f8a107a9900755", "translated_description": "", "image_url": "https://img.youtube.com/vi/RRk5qLd__Ro/hqdefault.jpg", "youtube_id": "RRk5qLd__Ro", "content_kind": "Video", "readable_id": "borrowing-once-example-1"}, {"translated_youtube_id": "8_fT1BsTmt4", "relative_url": "/video/borrowing-once-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/borrowing-once-example-2", "duration": 268, "translated_title": "Borrowing once example 2", "translated_description_html": "", "id": "xf0c43720", "description_html": "", "title": "Borrowing once example 2", "progress_key": "vxf0c43720", "edit_slug": "edit/v/xf0c43720", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/borrowing-once-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-02T18:51:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8_fT1BsTmt4.mp4/8_fT1BsTmt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8_fT1BsTmt4.mp4/8_fT1BsTmt4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8_fT1BsTmt4.m3u8/8_fT1BsTmt4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8_fT1BsTmt4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf0c43720", "sha": "e398e09ca68004cf07839c5dcb911e873d1642f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/8_fT1BsTmt4/hqdefault.jpg", "youtube_id": "8_fT1BsTmt4", "content_kind": "Video", "readable_id": "borrowing-once-example-2"}, {"translated_youtube_id": "OJ-wajo6oa4", "relative_url": "/video/regrouping--borrowing--twice-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping--borrowing--twice-example", "duration": 306, "translated_title": "Regrouping (borrowing) twice example", "translated_description_html": "", "id": "xbedc5cb2", "description_html": "", "title": "Regrouping (borrowing) twice example", "progress_key": "vxbedc5cb2", "edit_slug": "edit/v/xbedc5cb2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/regrouping--borrowing--twice-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-02T19:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OJ-wajo6oa4.mp4/OJ-wajo6oa4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OJ-wajo6oa4.mp4/OJ-wajo6oa4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OJ-wajo6oa4.m3u8/OJ-wajo6oa4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OJ-wajo6oa4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbedc5cb2", "sha": "1b81de1e00c1604773d8ebea798f9fe0823f1584", "translated_description": "", "image_url": "https://img.youtube.com/vi/OJ-wajo6oa4/hqdefault.jpg", "youtube_id": "OJ-wajo6oa4", "content_kind": "Video", "readable_id": "regrouping--borrowing--twice-example"}, {"translated_youtube_id": "GBtcGO44e-A", "relative_url": "/video/alternate-mental-subtraction-method", "has_questions": false, "keywords": "mental, subtraction, CC_1_OA_6, CC_2_OA_2", "ka_url": "http://www.khanacademy.org/video/alternate-mental-subtraction-method", "duration": 310, "translated_title": "Alternate mental subtraction method", "translated_description_html": "How I subtract in my head", "id": "23814", "description_html": "How I subtract in my head", "title": "Alternate mental subtraction method", "progress_key": "v23814", "edit_slug": "edit/v/23814", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How I subtract in my head", "extra_properties": null, "node_slug": "v/alternate-mental-subtraction-method", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:30:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GBtcGO44e-A.mp4/GBtcGO44e-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GBtcGO44e-A.mp4/GBtcGO44e-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GBtcGO44e-A.m3u8/GBtcGO44e-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GBtcGO44e-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23814", "sha": "b895b9b73e3e1ea93c1dd6c499fdf6e1847b08af", "translated_description": "How I subtract in my head", "image_url": "https://img.youtube.com/vi/GBtcGO44e-A/hqdefault.jpg", "youtube_id": "GBtcGO44e-A", "content_kind": "Video", "readable_id": "alternate-mental-subtraction-method"}], "twitter_url": "", "translated_description": "You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially \"regroup\" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like \"borrowing\" sugar from your neighbor in that you never give it back).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially \"regroup\" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like \"borrowing\" sugar from your neighbor in that you never give it back).", "x_pos": 0.0, "node_slug": "sub_borrowing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T00:13:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax73b9bfac", "topic_page_url": "/math/arithmetic/addition-subtraction/sub_borrowing", "extended_slug": "math/arithmetic/addition-subtraction/sub_borrowing", "slug": "sub_borrowing", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a71783e680516e1badf1b7b6e27a6849d7c0b655", "standalone_title": "Subtraction with borrowing (regrouping)", "y_pos": 0.0, "current_revision_key": "a71783e680516e1badf1b7b6e27a6849d7c0b655", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/addition-subtraction/add_sub_word_problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/addition-subtraction/add_sub_word_problems", "translated_standalone_title": "Addition and subtraction word problems", "translated_title": "Addition and subtraction word problems", "gplus_url": "", "id": "xa65b7e43", "old_key_name": "X0bSFzNGv24C2jRFpYQRk62L8arHxgWRk0biBl1G", "hide": false, "title": "Addition and subtraction word problems", "child_data": [{"kind": "Video", "id": 158927008}, {"kind": "Exercise", "id": 214174044}], "children": [{"translated_youtube_id": "QY8vv7eVVJE", "relative_url": "/video/subtraction-word-problem", "has_questions": false, "keywords": "u01_l2_t2_we3, Subtraction, Word, Problem", "ka_url": "http://www.khanacademy.org/video/subtraction-word-problem", "duration": 309, "translated_title": "Subtraction word problem", "translated_description_html": "Subtraction Word Problem", "id": "158927008", "description_html": "Subtraction Word Problem", "title": "Subtraction word problem", "progress_key": "v158927008", "edit_slug": "edit/v/158927008", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtraction Word Problem", "extra_properties": null, "node_slug": "v/subtraction-word-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-18T23:30:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QY8vv7eVVJE.mp4/QY8vv7eVVJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QY8vv7eVVJE.mp4/QY8vv7eVVJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QY8vv7eVVJE.m3u8/QY8vv7eVVJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QY8vv7eVVJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158927008", "sha": "3e96b0fd90ef5be21d5ac2f8064bcfac71699517", "translated_description": "Subtraction Word Problem", "image_url": "https://img.youtube.com/vi/QY8vv7eVVJE/hqdefault.jpg", "youtube_id": "QY8vv7eVVJE", "content_kind": "Video", "readable_id": "subtraction-word-problem"}], "twitter_url": "", "translated_description": "You feel comfortable with adding and subtracting multi-digit numbers. Now you can apply some of your skills to solve problems that arise in the real world (often called \"word problems\").", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You feel comfortable with adding and subtracting multi-digit numbers. Now you can apply some of your skills to solve problems that arise in the real world (often called \"word problems\").", "x_pos": 0.0, "node_slug": "add_sub_word_problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa65b7e43", "topic_page_url": "/math/arithmetic/addition-subtraction/add_sub_word_problems", "extended_slug": "math/arithmetic/addition-subtraction/add_sub_word_problems", "slug": "add_sub_word_problems", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b1a07fb0d0b8a564b0d956ac9abecd41394c7bc7", "standalone_title": "Addition and subtraction word problems", "y_pos": 0.0, "current_revision_key": "b1a07fb0d0b8a564b0d956ac9abecd41394c7bc7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems.", "x_pos": 4.0, "node_slug": "addition-subtraction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45f9dd34", "topic_page_url": "/math/arithmetic/addition-subtraction", "extended_slug": "math/arithmetic/addition-subtraction", "slug": "addition-subtraction", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7de186b689e97fbcd0338d1c41708abcaa45ea9c", "standalone_title": "Addition and subtraction", "y_pos": 1.5, "current_revision_key": "7de186b689e97fbcd0338d1c41708abcaa45ea9c", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/multiplication-division-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division", "translated_standalone_title": "Multiplication and division", "translated_title": "Multiplication and division", "gplus_url": "", "id": "xd096915e", "old_key_name": "jjNw_P7DF9IrnyNAI0qQuJOPP9EygH7UKatgWVem", "hide": false, "title": "Multiplication and division", "child_data": [{"kind": "Topic", "id": "xe7cc741c"}, {"kind": "Topic", "id": "xbb659e52"}, {"kind": "Topic", "id": "x54ae05b4"}, {"kind": "Topic", "id": "xeee277c3"}, {"kind": "Topic", "id": "xca024039"}, {"kind": "Topic", "id": "x8f19baec"}, {"kind": "Topic", "id": "x477acd87"}, {"kind": "Topic", "id": "x333cd343"}, {"kind": "Topic", "id": "x9ec90088"}, {"kind": "Topic", "id": "x276f02a9"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/mult-div-concept", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept", "translated_standalone_title": "Concept of multiplication and division", "translated_title": "Concept of multiplication and division", "gplus_url": "", "id": "xe7cc741c", "old_key_name": null, "hide": false, "title": "Concept of multiplication and division", "child_data": [{"kind": "Video", "id": "xc95ed643"}, {"kind": "Video", "id": "x7ed86e1c"}, {"kind": "Video", "id": "x8a2da6f6"}, {"kind": "Video", "id": "xdba36435"}], "children": [{"translated_youtube_id": "RNxwasijbAo", "relative_url": "/video/multiplication-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-intro", "duration": 213, "translated_title": "Intro to multiplication", "translated_description_html": "", "id": "xc95ed643", "description_html": "", "title": "Intro to multiplication", "progress_key": "vxc95ed643", "edit_slug": "edit/v/xc95ed643", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplication-intro", "deleted": false, "backup_timestamp": "2013-10-02T04:59:24Z", "date_added": "2013-10-01T16:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.mp4/RNxwasijbAo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.mp4/RNxwasijbAo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RNxwasijbAo.m3u8/RNxwasijbAo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RNxwasijbAo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc95ed643", "sha": "adcb3f4299145b6f1c208699038e6f8a04c5ec38", "translated_description": "", "image_url": "https://img.youtube.com/vi/RNxwasijbAo/hqdefault.jpg", "youtube_id": "RNxwasijbAo", "content_kind": "Video", "readable_id": "multiplication-intro"}, {"translated_youtube_id": "cDpBtkU2cf8", "relative_url": "/video/multiplication-as-groups-of-objects", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-as-groups-of-objects", "duration": 259, "translated_title": "Multiplication as groups of objects", "translated_description_html": "", "id": "x7ed86e1c", "description_html": "", "title": "Multiplication as groups of objects", "progress_key": "vx7ed86e1c", "edit_slug": "edit/v/x7ed86e1c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplication-as-groups-of-objects", "deleted": false, "backup_timestamp": "2013-09-30T18:25:08Z", "date_added": "2013-09-30T18:24:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.mp4/cDpBtkU2cf8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.mp4/cDpBtkU2cf8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cDpBtkU2cf8.m3u8/cDpBtkU2cf8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cDpBtkU2cf8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7ed86e1c", "sha": "3ffa226ca38373bb6049cad2fe37e93fe0ba08a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/cDpBtkU2cf8/hqdefault.jpg", "youtube_id": "cDpBtkU2cf8", "content_kind": "Video", "readable_id": "multiplication-as-groups-of-objects"}, {"translated_youtube_id": "vfMx9-rJXuo", "relative_url": "/video/more-on-the-concept-of-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-on-the-concept-of-multiplication", "duration": 329, "translated_title": "More on the concept of multiplication", "translated_description_html": "", "id": "x8a2da6f6", "description_html": "", "title": "More on the concept of multiplication", "progress_key": "vx8a2da6f6", "edit_slug": "edit/v/x8a2da6f6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/more-on-the-concept-of-multiplication", "deleted": false, "backup_timestamp": "2013-09-30T18:25:08Z", "date_added": "2013-09-30T18:24:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.mp4/vfMx9-rJXuo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.mp4/vfMx9-rJXuo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vfMx9-rJXuo.m3u8/vfMx9-rJXuo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vfMx9-rJXuo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8a2da6f6", "sha": "424cd621bd394b2d9b1f15b68fb27596f8361f83", "translated_description": "", "image_url": "https://img.youtube.com/vi/vfMx9-rJXuo/hqdefault.jpg", "youtube_id": "vfMx9-rJXuo", "content_kind": "Video", "readable_id": "more-on-the-concept-of-multiplication"}, {"translated_youtube_id": "QI6x0KNxiCs", "relative_url": "/video/the-idea-of-division", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-idea-of-division", "duration": 481, "translated_title": "The idea of division", "translated_description_html": "", "id": "xdba36435", "description_html": "", "title": "The idea of division", "progress_key": "vxdba36435", "edit_slug": "edit/v/xdba36435", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/the-idea-of-division", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-30T18:24:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.mp4/QI6x0KNxiCs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.mp4/QI6x0KNxiCs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QI6x0KNxiCs.m3u8/QI6x0KNxiCs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QI6x0KNxiCs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdba36435", "sha": "8613193c6e61da39440512defa11f9accc37e059", "translated_description": "", "image_url": "https://img.youtube.com/vi/QI6x0KNxiCs/hqdefault.jpg", "youtube_id": "QI6x0KNxiCs", "content_kind": "Video", "readable_id": "the-idea-of-division"}], "twitter_url": "", "translated_description": "Let's introduce ourselves to two of the most fundamental ideas in all of mathematics: multiplication and division!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's introduce ourselves to two of the most fundamental ideas in all of mathematics: multiplication and division!", "x_pos": 0.0, "node_slug": "mult-div-concept", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-01T16:18:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe7cc741c", "topic_page_url": "/math/arithmetic/multiplication-division/mult-div-concept", "extended_slug": "math/arithmetic/multiplication-division/mult-div-concept", "slug": "mult-div-concept", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f6d776eb8ec980f25b203d0e98d7ec6769c2b786", "standalone_title": "Concept of multiplication and division", "y_pos": 0.0, "current_revision_key": "f6d776eb8ec980f25b203d0e98d7ec6769c2b786", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/multiplication_fun", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun", "translated_standalone_title": "Basic multiplication", "translated_title": "Basic multiplication", "gplus_url": "", "id": "xbb659e52", "old_key_name": "FyImYBJe83jQKv7U8trcWzHeWseAUmXAeidgWP5U", "hide": false, "title": "Basic multiplication", "child_data": [{"kind": "Video", "id": "x5c700875"}, {"kind": "Exercise", "id": 213229225}, {"kind": "Video", "id": 23824}, {"kind": "Exercise", "id": 13179357}, {"kind": "Video", "id": 23826}, {"kind": "Video", "id": 2600673}, {"kind": "Video", "id": 23828}], "children": [{"translated_youtube_id": "ez1MIB8_2O0", "relative_url": "/video/number-line-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-line-1", "duration": 80, "translated_title": "Number line 1", "translated_description_html": "", "id": "x5c700875", "description_html": "", "title": "Number line 1", "progress_key": "vx5c700875", "edit_slug": "edit/v/x5c700875", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/number-line-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-09T14:20:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ez1MIB8_2O0.mp4/ez1MIB8_2O0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ez1MIB8_2O0.mp4/ez1MIB8_2O0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ez1MIB8_2O0.m3u8/ez1MIB8_2O0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ez1MIB8_2O0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c700875", "sha": "638473fc14209c7e41a48c27bbdbf6e10de37678", "translated_description": "", "image_url": "https://img.youtube.com/vi/ez1MIB8_2O0/hqdefault.jpg", "youtube_id": "ez1MIB8_2O0", "content_kind": "Video", "readable_id": "number-line-1"}, {"translated_youtube_id": "mvOkMYCygps", "relative_url": "/video/basic-multiplication", "has_questions": false, "keywords": "multiplication, CC_3_OA_1, CC_3_OA_3, CC_3_OA_5", "ka_url": "http://www.khanacademy.org/video/basic-multiplication", "duration": 800, "translated_title": "Basic multiplication", "translated_description_html": "Introduction to multiplication", "id": "23824", "description_html": "Introduction to multiplication", "title": "Basic multiplication", "progress_key": "v23824", "edit_slug": "edit/v/23824", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to multiplication", "extra_properties": null, "node_slug": "v/basic-multiplication", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mvOkMYCygps.mp4/mvOkMYCygps.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mvOkMYCygps.mp4/mvOkMYCygps.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mvOkMYCygps.m3u8/mvOkMYCygps.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mvOkMYCygps&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23824", "sha": "a3828599e33c7bb678588a4ee3a56f4ee861b0d1", "translated_description": "Introduction to multiplication", "image_url": "https://img.youtube.com/vi/mvOkMYCygps/hqdefault.jpg", "youtube_id": "mvOkMYCygps", "content_kind": "Video", "readable_id": "basic-multiplication"}, {"translated_youtube_id": "xO_1bYgoQvA", "relative_url": "/video/multiplication-2--the-multiplication-tables", "has_questions": false, "keywords": "arithmetic, multiplication, tables, CC_3_OA_7, CC_3_OA_9", "ka_url": "http://www.khanacademy.org/video/multiplication-2--the-multiplication-tables", "duration": 927, "translated_title": "Multiplication 2: The multiplication tables", "translated_description_html": "Introduction to the multiplication tables from 2-9.", "id": "23826", "description_html": "Introduction to the multiplication tables from 2-9.", "title": "Multiplication 2: The multiplication tables", "progress_key": "v23826", "edit_slug": "edit/v/23826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the multiplication tables from 2-9.", "extra_properties": null, "node_slug": "v/multiplication-2--the-multiplication-tables", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:30:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xO_1bYgoQvA.mp4/xO_1bYgoQvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xO_1bYgoQvA.mp4/xO_1bYgoQvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xO_1bYgoQvA.m3u8/xO_1bYgoQvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xO_1bYgoQvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23826", "sha": "a65fabb5820fa31c41c7b073441b339cab4488a1", "translated_description": "Introduction to the multiplication tables from 2-9.", "image_url": "https://img.youtube.com/vi/xO_1bYgoQvA/hqdefault.jpg", "youtube_id": "xO_1bYgoQvA", "content_kind": "Video", "readable_id": "multiplication-2--the-multiplication-tables"}, {"translated_youtube_id": "Yw3EoxC_GXU", "relative_url": "/video/multiplying-whole-numbers-and-applications-1", "has_questions": false, "keywords": "U01_L3_T1_we1, Multiplying, Whole, Numbers, and, Applications, CC_3_OA_5, CC_3_OA_7", "ka_url": "http://www.khanacademy.org/video/multiplying-whole-numbers-and-applications-1", "duration": 183, "translated_title": "Example: Ways to represent multiplication", "translated_description_html": "Multiplying Whole Numbers and Applications 1", "id": "2600673", "description_html": "Multiplying Whole Numbers and Applications 1", "title": "Example: Ways to represent multiplication", "progress_key": "v2600673", "edit_slug": "edit/v/2600673", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Whole Numbers and Applications 1", "extra_properties": null, "node_slug": "v/multiplying-whole-numbers-and-applications-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yw3EoxC_GXU.mp4/Yw3EoxC_GXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yw3EoxC_GXU.mp4/Yw3EoxC_GXU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yw3EoxC_GXU.m3u8/Yw3EoxC_GXU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yw3EoxC_GXU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600673", "sha": "d1b5ff25a349e9a0f51c5c446943c210dbca9920", "translated_description": "Multiplying Whole Numbers and Applications 1", "image_url": "https://img.youtube.com/vi/Yw3EoxC_GXU/hqdefault.jpg", "youtube_id": "Yw3EoxC_GXU", "content_kind": "Video", "readable_id": "multiplying-whole-numbers-and-applications-1"}, {"translated_youtube_id": "qihoczo1Ujk", "relative_url": "/video/multiplication-3--10-11-12-times-tables", "has_questions": false, "keywords": "arithmetic, multiplication, tables, CC_3_NBT_3", "ka_url": "http://www.khanacademy.org/video/multiplication-3--10-11-12-times-tables", "duration": 731, "translated_title": "Multiplication 3: 10,11,12 times tables", "translated_description_html": "Multiplication 3: Learning to multiply 10, 11, and 12.", "id": "23828", "description_html": "Multiplication 3: Learning to multiply 10, 11, and 12.", "title": "Multiplication 3: 10,11,12 times tables", "progress_key": "v23828", "edit_slug": "edit/v/23828", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplication 3: Learning to multiply 10, 11, and 12.", "extra_properties": null, "node_slug": "v/multiplication-3--10-11-12-times-tables", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qihoczo1Ujk.mp4/qihoczo1Ujk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qihoczo1Ujk.mp4/qihoczo1Ujk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qihoczo1Ujk.m3u8/qihoczo1Ujk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qihoczo1Ujk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23828", "sha": "2bc1ac21dbd18e3b2ac2dbfb95e91d216c657665", "translated_description": "Multiplication 3: Learning to multiply 10, 11, and 12.", "image_url": "https://img.youtube.com/vi/qihoczo1Ujk/hqdefault.jpg", "youtube_id": "qihoczo1Ujk", "content_kind": "Video", "readable_id": "multiplication-3--10-11-12-times-tables"}], "twitter_url": "", "translated_description": "If 3 kids each have two robot possums, how many total robot possums do we have?\n\nYou liked addition, but now you're ready to go to the next level. Depending on how you view it, multiplication is about repeated addition or scaling a number or seeing what number you get when you have another number multiple times. If that last sentence made little sense, you might enjoy this tutorial.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If 3 kids each have two robot possums, how many total robot possums do we have?\n\nYou liked addition, but now you're ready to go to the next level. Depending on how you view it, multiplication is about repeated addition or scaling a number or seeing what number you get when you have another number multiple times. If that last sentence made little sense, you might enjoy this tutorial.", "x_pos": 0.0, "node_slug": "multiplication_fun", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T16:42:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb659e52", "topic_page_url": "/math/arithmetic/multiplication-division/multiplication_fun", "extended_slug": "math/arithmetic/multiplication-division/multiplication_fun", "slug": "multiplication_fun", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "352cf0efd7f0d862e9d9a59580676132fb2ff91c", "standalone_title": "Basic multiplication", "y_pos": 0.0, "current_revision_key": "352cf0efd7f0d862e9d9a59580676132fb2ff91c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/delightful_division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division", "translated_standalone_title": "One-digit division", "translated_title": "One-digit division", "gplus_url": "", "id": "x54ae05b4", "old_key_name": "IL9YqRFR--4zJ-Tiwy48gAAz7cYA8PS-iFK6OQL7", "hide": false, "title": "One-digit division", "child_data": [{"kind": "Video", "id": 23844}, {"kind": "Exercise", "id": 13179371}, {"kind": "Exercise", "id": 2007}, {"kind": "Video", "id": 2600678}], "children": [{"translated_youtube_id": "MTzTqvzWzm8", "relative_url": "/video/division-1", "has_questions": false, "keywords": "division, arithmetic, CC_3_OA_2, CC_3_OA_7, CC_4_NBT_6", "ka_url": "http://www.khanacademy.org/video/division-1", "duration": 1022, "translated_title": "Division 1", "translated_description_html": "Introduction to division", "id": "23844", "description_html": "Introduction to division", "title": "Division 1", "progress_key": "v23844", "edit_slug": "edit/v/23844", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to division", "extra_properties": null, "node_slug": "v/division-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MTzTqvzWzm8.mp4/MTzTqvzWzm8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MTzTqvzWzm8.mp4/MTzTqvzWzm8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MTzTqvzWzm8.m3u8/MTzTqvzWzm8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MTzTqvzWzm8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23844", "sha": "00413a5b3d2a3df28b3703287cc12009df38a334", "translated_description": "Introduction to division", "image_url": "https://img.youtube.com/vi/MTzTqvzWzm8/hqdefault.jpg", "youtube_id": "MTzTqvzWzm8", "content_kind": "Video", "readable_id": "division-1"}, {"translated_youtube_id": "4I9iibPLdBw", "relative_url": "/video/dividing-whole-numbers-and-applications-1", "has_questions": false, "keywords": "U01_L3_T2_we1, Dividing, Whole, Numbers, and, Applications, CC_3_OA_5, CC_3_OA_7, CC_4_NBT_6, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-whole-numbers-and-applications-1", "duration": 148, "translated_title": "Example: Expressing division in multiple ways", "translated_description_html": "Dividing Whole Numbers and Applications 1", "id": "2600678", "description_html": "Dividing Whole Numbers and Applications 1", "title": "Example: Expressing division in multiple ways", "progress_key": "v2600678", "edit_slug": "edit/v/2600678", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Whole Numbers and Applications 1", "extra_properties": null, "node_slug": "v/dividing-whole-numbers-and-applications-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4I9iibPLdBw.mp4/4I9iibPLdBw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4I9iibPLdBw.mp4/4I9iibPLdBw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4I9iibPLdBw.m3u8/4I9iibPLdBw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4I9iibPLdBw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600678", "sha": "1402324ec54dcb50acd39954685f8f21f6f423ea", "translated_description": "Dividing Whole Numbers and Applications 1", "image_url": "https://img.youtube.com/vi/4I9iibPLdBw/hqdefault.jpg", "youtube_id": "4I9iibPLdBw", "content_kind": "Video", "readable_id": "dividing-whole-numbers-and-applications-1"}], "twitter_url": "", "translated_description": "Every time you split your avocado harvest with your 10 pet robot possums, you've been dividing. You don't farm avocados? You only have 8 robot possums? No worries. I'm sure you've divided as well.\n\nMultiplication is awesome, but you're ready for the next step. Division is the art of trying to split things into equal groups. Like subtraction undoes addition, division also undoes multiplication. After this tutorial, you'll have a basic understanding of all of the core operations in arithmetic!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Every time you split your avocado harvest with your 10 pet robot possums, you've been dividing. You don't farm avocados? You only have 8 robot possums? No worries. I'm sure you've divided as well.\n\nMultiplication is awesome, but you're ready for the next step. Division is the art of trying to split things into equal groups. Like subtraction undoes addition, division also undoes multiplication. After this tutorial, you'll have a basic understanding of all of the core operations in arithmetic!", "x_pos": 0.0, "node_slug": "delightful_division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T16:42:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54ae05b4", "topic_page_url": "/math/arithmetic/multiplication-division/delightful_division", "extended_slug": "math/arithmetic/multiplication-division/delightful_division", "slug": "delightful_division", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "97bfd1ab668243aeade80eaef14ab142e70bd22c", "standalone_title": "One-digit division", "y_pos": 0.0, "current_revision_key": "97bfd1ab668243aeade80eaef14ab142e70bd22c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/mult-div-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems", "translated_standalone_title": "Starter multiplication and division word problems", "translated_title": "Starter multiplication and division word problems", "gplus_url": "", "id": "xeee277c3", "old_key_name": null, "hide": false, "title": "Starter multiplication and division word problems", "child_data": [{"kind": "Video", "id": "xfadbf044"}, {"kind": "Exercise", "id": "x26a42c4a"}, {"kind": "Video", "id": 158927009}, {"kind": "Video", "id": "xf30d0482"}, {"kind": "Video", "id": "x4aef016e"}, {"kind": "Exercise", "id": 237888351}, {"kind": "Video", "id": "x2187d181"}, {"kind": "Exercise", "id": 46563848}], "children": [{"translated_youtube_id": "OCwLwaAQlMA", "relative_url": "/video/comparing-with-multiplication-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-with-multiplication-exercise", "duration": 137, "translated_title": "Comparing with multiplication exercise", "translated_description_html": "", "id": "xfadbf044", "description_html": "", "title": "Comparing with multiplication exercise", "progress_key": "vxfadbf044", "edit_slug": "edit/v/xfadbf044", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-with-multiplication-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.mp4/OCwLwaAQlMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.mp4/OCwLwaAQlMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCwLwaAQlMA.m3u8/OCwLwaAQlMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OCwLwaAQlMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfadbf044", "sha": "c43127c4bf1cc335088850e347d3e5a5a46b1a54", "translated_description": "", "image_url": "https://img.youtube.com/vi/OCwLwaAQlMA/hqdefault.jpg", "youtube_id": "OCwLwaAQlMA", "content_kind": "Video", "readable_id": "comparing-with-multiplication-exercise"}, {"translated_youtube_id": "bS6EmYzpou4", "relative_url": "/video/multiplying-whole-numbers-and-applications-6", "has_questions": false, "keywords": "U01_L3_T1_we6, Multiplying, Whole, Numbers, and, Applications", "ka_url": "http://www.khanacademy.org/video/multiplying-whole-numbers-and-applications-6", "duration": 159, "translated_title": "Comparing ages", "translated_description_html": "Multiplying Whole Numbers and Applications 6", "id": "158927009", "description_html": "Multiplying Whole Numbers and Applications 6", "title": "Comparing ages", "progress_key": "v158927009", "edit_slug": "edit/v/158927009", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Whole Numbers and Applications 6", "extra_properties": null, "node_slug": "v/multiplying-whole-numbers-and-applications-6", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-18T23:30:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.m3u8/bS6EmYzpou4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bS6EmYzpou4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158927009", "sha": "ffd7bc52ce4b9f8170a93b454a27a408db26eb90", "translated_description": "Multiplying Whole Numbers and Applications 6", "image_url": "https://img.youtube.com/vi/bS6EmYzpou4/hqdefault.jpg", "youtube_id": "bS6EmYzpou4", "content_kind": "Video", "readable_id": "multiplying-whole-numbers-and-applications-6"}, {"translated_youtube_id": "fZtUn_THXnk", "relative_url": "/video/multiplication-word-problem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-word-problem-example-1", "duration": 152, "translated_title": "Multiplication word problem example 1", "translated_description_html": "", "id": "xf30d0482", "description_html": "", "title": "Multiplication word problem example 1", "progress_key": "vxf30d0482", "edit_slug": "edit/v/xf30d0482", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-word-problem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T20:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fZtUn_THXnk.mp4/fZtUn_THXnk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fZtUn_THXnk.mp4/fZtUn_THXnk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fZtUn_THXnk.m3u8/fZtUn_THXnk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fZtUn_THXnk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf30d0482", "sha": "ecbbf4a1a03c2dd3784021eed69211fde195eec9", "translated_description": "", "image_url": "https://img.youtube.com/vi/fZtUn_THXnk/hqdefault.jpg", "youtube_id": "fZtUn_THXnk", "content_kind": "Video", "readable_id": "multiplication-word-problem-example-1"}, {"translated_youtube_id": "Z3qRkxzmYnU", "relative_url": "/video/division-word-problem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/division-word-problem-example-1", "duration": 108, "translated_title": "Division word problem example 1", "translated_description_html": "", "id": "x4aef016e", "description_html": "", "title": "Division word problem example 1", "progress_key": "vx4aef016e", "edit_slug": "edit/v/x4aef016e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/division-word-problem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T20:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z3qRkxzmYnU.mp4/Z3qRkxzmYnU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z3qRkxzmYnU.mp4/Z3qRkxzmYnU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z3qRkxzmYnU.m3u8/Z3qRkxzmYnU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z3qRkxzmYnU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4aef016e", "sha": "cf1cd222f35976879164a9a11303016721572c9c", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z3qRkxzmYnU/hqdefault.jpg", "youtube_id": "Z3qRkxzmYnU", "content_kind": "Video", "readable_id": "division-word-problem-example-1"}, {"translated_youtube_id": "9CZfG3r5JBE", "relative_url": "/video/multiplication-and-division-word-problems-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-and-division-word-problems-2", "duration": 70, "translated_title": "Comparing magic strength", "translated_description_html": "", "id": "x2187d181", "description_html": "", "title": "Comparing magic strength", "progress_key": "vx2187d181", "edit_slug": "edit/v/x2187d181", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-and-division-word-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.mp4/9CZfG3r5JBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.mp4/9CZfG3r5JBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9CZfG3r5JBE.m3u8/9CZfG3r5JBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9CZfG3r5JBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2187d181", "sha": "08a102496e0ce3d3238da6cbbd216a708e25b640", "translated_description": "", "image_url": "https://img.youtube.com/vi/9CZfG3r5JBE/hqdefault.jpg", "youtube_id": "9CZfG3r5JBE", "content_kind": "Video", "readable_id": "multiplication-and-division-word-problems-2"}], "twitter_url": "", "translated_description": "Math is super useful in the real world. In this tutorial, we'll get some practice figuring out things that would have been tough without the powerful tools of multiplication and division!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Math is super useful in the real world. In this tutorial, we'll get some practice figuring out things that would have been tough without the powerful tools of multiplication and division!", "x_pos": 0.0, "node_slug": "mult-div-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T00:13:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeee277c3", "topic_page_url": "/math/arithmetic/multiplication-division/mult-div-word-problems", "extended_slug": "math/arithmetic/multiplication-division/mult-div-word-problems", "slug": "mult-div-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "240beaf4d27fc6300dc98d1ff39803ff2af419b2", "standalone_title": "Starter multiplication and division word problems", "y_pos": 0.0, "current_revision_key": "240beaf4d27fc6300dc98d1ff39803ff2af419b2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/multi_digit_multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication", "translated_standalone_title": "Multi-digit multiplication", "translated_title": "Multi-digit multiplication", "gplus_url": "", "id": "xca024039", "old_key_name": "uT8kWqPRcQk6zqb-jZtL0nilz3fEZO6KuUatB-Y-", "hide": false, "title": "Multi-digit multiplication", "child_data": [{"kind": "Video", "id": "x74731bad"}, {"kind": "Exercise", "id": 3006}, {"kind": "Video", "id": "x82d7bb46"}, {"kind": "Video", "id": "x509df20f"}, {"kind": "Exercise", "id": 13179375}, {"kind": "Video", "id": "x16d8e819"}, {"kind": "Video", "id": "x4d3274dc"}, {"kind": "Video", "id": "x3c1ecd5d"}, {"kind": "Exercise", "id": 2005}, {"kind": "Video", "id": 23832}, {"kind": "Video", "id": 2600674}, {"kind": "Exercise", "id": 3007}, {"kind": "Video", "id": 23834}, {"kind": "Exercise", "id": 2006}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 2600676}, {"kind": "Video", "id": 23836}], "children": [{"translated_youtube_id": "jb8mFpA1YI8", "relative_url": "/video/multiplying-by-multiples-of-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-by-multiples-of-10", "duration": 185, "translated_title": "Multiplying by multiples of 10", "translated_description_html": "", "id": "x74731bad", "description_html": "", "title": "Multiplying by multiples of 10", "progress_key": "vx74731bad", "edit_slug": "edit/v/x74731bad", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-by-multiples-of-10", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-09T14:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.mp4/jb8mFpA1YI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.mp4/jb8mFpA1YI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jb8mFpA1YI8.m3u8/jb8mFpA1YI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jb8mFpA1YI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx74731bad", "sha": "e640ace76fa6598d75b4b45585ce209412d4a27f", "translated_description": "", "image_url": "https://img.youtube.com/vi/jb8mFpA1YI8/hqdefault.jpg", "youtube_id": "jb8mFpA1YI8", "content_kind": "Video", "readable_id": "multiplying-by-multiples-of-10"}, {"translated_youtube_id": "k68CPfcehTE", "relative_url": "/video/2-digit-times-1-digit-example-no-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-digit-times-1-digit-example-no-carrying", "duration": 111, "translated_title": "2 digit times 1 digit example (no carrying)", "translated_description_html": "", "id": "x82d7bb46", "description_html": "", "title": "2 digit times 1 digit example (no carrying)", "progress_key": "vx82d7bb46", "edit_slug": "edit/v/x82d7bb46", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2-digit-times-1-digit-example-no-carrying", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.mp4/k68CPfcehTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.mp4/k68CPfcehTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k68CPfcehTE.m3u8/k68CPfcehTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k68CPfcehTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx82d7bb46", "sha": "640c56dd6b76d158399c2c9a45f039ff81448a00", "translated_description": "", "image_url": "https://img.youtube.com/vi/k68CPfcehTE/hqdefault.jpg", "youtube_id": "k68CPfcehTE", "content_kind": "Video", "readable_id": "2-digit-times-1-digit-example-no-carrying"}, {"translated_youtube_id": "4BtXvopHXI8", "relative_url": "/video/3-digit-times-1-digit-example-no-carrying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-digit-times-1-digit-example-no-carrying", "duration": 114, "translated_title": "3 digit times 1 digit example (no carrying)", "translated_description_html": "", "id": "x509df20f", "description_html": "", "title": "3 digit times 1 digit example (no carrying)", "progress_key": "vx509df20f", "edit_slug": "edit/v/x509df20f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/3-digit-times-1-digit-example-no-carrying", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-03T23:10:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.mp4/4BtXvopHXI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.mp4/4BtXvopHXI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4BtXvopHXI8.m3u8/4BtXvopHXI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4BtXvopHXI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx509df20f", "sha": "7691eab576ffa72dd9ca58a7e6fc468702b62a97", "translated_description": "", "image_url": "https://img.youtube.com/vi/4BtXvopHXI8/hqdefault.jpg", "youtube_id": "4BtXvopHXI8", "content_kind": "Video", "readable_id": "3-digit-times-1-digit-example-no-carrying"}, {"translated_youtube_id": "SfxULALs_u8", "relative_url": "/video/2-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-digit-times-1-digit-example", "duration": 129, "translated_title": "2 digit times 1 digit example", "translated_description_html": "", "id": "x16d8e819", "description_html": "", "title": "2 digit times 1 digit example", "progress_key": "vx16d8e819", "edit_slug": "edit/v/x16d8e819", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.mp4/SfxULALs_u8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.mp4/SfxULALs_u8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SfxULALs_u8.m3u8/SfxULALs_u8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SfxULALs_u8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16d8e819", "sha": "41efad6c7649a19466dd0afc6f443f2251cac36f", "translated_description": "", "image_url": "https://img.youtube.com/vi/SfxULALs_u8/hqdefault.jpg", "youtube_id": "SfxULALs_u8", "content_kind": "Video", "readable_id": "2-digit-times-1-digit-example"}, {"translated_youtube_id": "TqRReFvbpXA", "relative_url": "/video/3-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-digit-times-1-digit-example", "duration": 135, "translated_title": "3 digit times 1 digit example", "translated_description_html": "", "id": "x4d3274dc", "description_html": "", "title": "3 digit times 1 digit example", "progress_key": "vx4d3274dc", "edit_slug": "edit/v/x4d3274dc", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/3-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.mp4/TqRReFvbpXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.mp4/TqRReFvbpXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TqRReFvbpXA.m3u8/TqRReFvbpXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TqRReFvbpXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d3274dc", "sha": "bc8386ed56c2d43656cb547853150464b15403de", "translated_description": "", "image_url": "https://img.youtube.com/vi/TqRReFvbpXA/hqdefault.jpg", "youtube_id": "TqRReFvbpXA", "content_kind": "Video", "readable_id": "3-digit-times-1-digit-example"}, {"translated_youtube_id": "twMdew4Zs8Q", "relative_url": "/video/4-digit-times-1-digit-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/4-digit-times-1-digit-example", "duration": 204, "translated_title": "4 digit times 1 digit example", "translated_description_html": "", "id": "x3c1ecd5d", "description_html": "", "title": "4 digit times 1 digit example", "progress_key": "vx3c1ecd5d", "edit_slug": "edit/v/x3c1ecd5d", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/4-digit-times-1-digit-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-03T23:10:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.mp4/twMdew4Zs8Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.mp4/twMdew4Zs8Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/twMdew4Zs8Q.m3u8/twMdew4Zs8Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=twMdew4Zs8Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3c1ecd5d", "sha": "7c246f23e45a95525bdedef763d3ce78fef37e5d", "translated_description": "", "image_url": "https://img.youtube.com/vi/twMdew4Zs8Q/hqdefault.jpg", "youtube_id": "twMdew4Zs8Q", "content_kind": "Video", "readable_id": "4-digit-times-1-digit-example"}, {"translated_youtube_id": "t8m0NalQtEk", "relative_url": "/video/multiplication-5---2-digit-times-a-2-digit-number", "has_questions": false, "keywords": "multiplication, CC_4_NBT_5", "ka_url": "http://www.khanacademy.org/video/multiplication-5---2-digit-times-a-2-digit-number", "duration": 675, "translated_title": "2-digit times a 2-digit number", "translated_description_html": "Multiplying a 2-digit number times a 2-digit number", "id": "23832", "description_html": "Multiplying a 2-digit number times a 2-digit number", "title": "2-digit times a 2-digit number", "progress_key": "v23832", "edit_slug": "edit/v/23832", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying a 2-digit number times a 2-digit number", "extra_properties": null, "node_slug": "v/multiplication-5---2-digit-times-a-2-digit-number", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t8m0NalQtEk.mp4/t8m0NalQtEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t8m0NalQtEk.mp4/t8m0NalQtEk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t8m0NalQtEk.m3u8/t8m0NalQtEk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t8m0NalQtEk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23832", "sha": "53db4342e4490f5e8af54f9c2d709dcb3391ac90", "translated_description": "Multiplying a 2-digit number times a 2-digit number", "image_url": "https://img.youtube.com/vi/t8m0NalQtEk/hqdefault.jpg", "youtube_id": "t8m0NalQtEk", "content_kind": "Video", "readable_id": "multiplication-5---2-digit-times-a-2-digit-number"}, {"translated_youtube_id": "0WUXQNjdRvM", "relative_url": "/video/multiplying-whole-numbers-and-applications-2", "has_questions": false, "keywords": "U01_L3_T1_we2, Multiplying, Whole, Numbers, and, Applications, CC_3_OA_5, CC_3_OA_7, CC_5_NBT_5", "ka_url": "http://www.khanacademy.org/video/multiplying-whole-numbers-and-applications-2", "duration": 198, "translated_title": "Example: 2-digit times 2-digit", "translated_description_html": "Multiplying Whole Numbers and Applications 2", "id": "2600674", "description_html": "Multiplying Whole Numbers and Applications 2", "title": "Example: 2-digit times 2-digit", "progress_key": "v2600674", "edit_slug": "edit/v/2600674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Whole Numbers and Applications 2", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-whole-numbers-and-applications-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0WUXQNjdRvM.mp4/0WUXQNjdRvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0WUXQNjdRvM.mp4/0WUXQNjdRvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0WUXQNjdRvM.m3u8/0WUXQNjdRvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0WUXQNjdRvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600674", "sha": "096bd106e17c4c47037d930aab4431401e87c9ec", "translated_description": "Multiplying Whole Numbers and Applications 2", "image_url": "https://img.youtube.com/vi/0WUXQNjdRvM/hqdefault.jpg", "youtube_id": "0WUXQNjdRvM", "content_kind": "Video", "readable_id": "multiplying-whole-numbers-and-applications-2"}, {"translated_youtube_id": "-h3Oqhl8fPg", "relative_url": "/video/multiplication-6--multiple-digit-numbers", "has_questions": false, "keywords": "multiplication", "ka_url": "http://www.khanacademy.org/video/multiplication-6--multiple-digit-numbers", "duration": 627, "translated_title": "Multiple digit numbers", "translated_description_html": "Working our way up to multiplying multiple-digit numbers with each other", "id": "23834", "description_html": "Working our way up to multiplying multiple-digit numbers with each other", "title": "Multiple digit numbers", "progress_key": "v23834", "edit_slug": "edit/v/23834", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working our way up to multiplying multiple-digit numbers with each other", "extra_properties": null, "node_slug": "v/multiplication-6--multiple-digit-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.mp4/-h3Oqhl8fPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.mp4/-h3Oqhl8fPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-h3Oqhl8fPg.m3u8/-h3Oqhl8fPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-h3Oqhl8fPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23834", "sha": "e6cc27ea826e92ca833456f969b5b6d4c3ee110c", "translated_description": "Working our way up to multiplying multiple-digit numbers with each other", "image_url": "https://img.youtube.com/vi/-h3Oqhl8fPg/hqdefault.jpg", "youtube_id": "-h3Oqhl8fPg", "content_kind": "Video", "readable_id": "multiplication-6--multiple-digit-numbers"}, {"translated_youtube_id": "tx2Niw7aJJ8", "relative_url": "/video/multiplying-whole-numbers-and-applications-4", "has_questions": false, "keywords": "U01_L3_T1_we4, Multiplying, Whole, Numbers, and, Applications, CC_3_NBT_1, CC_3_OA_8, CC_4_NBT_3, CC_4_NBT_5, CC_4_OA_3, CC_5_NBT_5", "ka_url": "http://www.khanacademy.org/video/multiplying-whole-numbers-and-applications-4", "duration": 111, "translated_title": "Multiplication estimation example", "translated_description_html": "Estimating the product of two, 2-digit numbers", "id": "2600676", "description_html": "Estimating the product of two, 2-digit numbers", "title": "Multiplication estimation example", "progress_key": "v2600676", "edit_slug": "edit/v/2600676", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Estimating the product of two, 2-digit numbers", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-whole-numbers-and-applications-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tx2Niw7aJJ8.mp4/tx2Niw7aJJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tx2Niw7aJJ8.mp4/tx2Niw7aJJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tx2Niw7aJJ8.m3u8/tx2Niw7aJJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tx2Niw7aJJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600676", "sha": "0c6941d785ad51de5c9800499b30a00813fc9e76", "translated_description": "Estimating the product of two, 2-digit numbers", "image_url": "https://img.youtube.com/vi/tx2Niw7aJJ8/hqdefault.jpg", "youtube_id": "tx2Niw7aJJ8", "content_kind": "Video", "readable_id": "multiplying-whole-numbers-and-applications-4"}, {"translated_youtube_id": "_k3aWF6_b4w", "relative_url": "/video/multiplication-7--old-video-giving-more-examples", "has_questions": false, "keywords": "multiplication, CC_4_NBT_5, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplication-7--old-video-giving-more-examples", "duration": 377, "translated_title": "Multiplication 7: Old video giving more examples", "translated_description_html": "2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number.", "id": "23836", "description_html": "2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number.", "title": "Multiplication 7: Old video giving more examples", "progress_key": "v23836", "edit_slug": "edit/v/23836", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number.", "extra_properties": null, "node_slug": "v/multiplication-7--old-video-giving-more-examples", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_k3aWF6_b4w.mp4/_k3aWF6_b4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_k3aWF6_b4w.mp4/_k3aWF6_b4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_k3aWF6_b4w.m3u8/_k3aWF6_b4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_k3aWF6_b4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23836", "sha": "7abe9a78537ef6067baaa23ff802a666dce00d78", "translated_description": "2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number.", "image_url": "https://img.youtube.com/vi/_k3aWF6_b4w/hqdefault.jpg", "youtube_id": "_k3aWF6_b4w", "content_kind": "Video", "readable_id": "multiplication-7--old-video-giving-more-examples"}], "twitter_url": "", "translated_description": "You know your multiplication tables and are ready to learn how to multiply *any* number (actually, any whole number). Imagine the possibilities! This tutorial will make you unstoppable.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know your multiplication tables and are ready to learn how to multiply *any* number (actually, any whole number). Imagine the possibilities! This tutorial will make you unstoppable.", "x_pos": 0.0, "node_slug": "multi_digit_multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca024039", "topic_page_url": "/math/arithmetic/multiplication-division/multi_digit_multiplication", "extended_slug": "math/arithmetic/multiplication-division/multi_digit_multiplication", "slug": "multi_digit_multiplication", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fc303e7ddb0b140ce8403564d2ed20ff0483a634", "standalone_title": "Multi-digit multiplication", "y_pos": 0.0, "current_revision_key": "fc303e7ddb0b140ce8403564d2ed20ff0483a634", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/long_division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/long_division", "translated_standalone_title": "Loooong division!", "translated_title": "Loooong division!", "gplus_url": "", "id": "x8f19baec", "old_key_name": "PzN-AIhPPbrThuurvYUg9U-pymhVgMNb9QCC630a", "hide": false, "title": "Loooong division!", "child_data": [{"kind": "Video", "id": 23846}, {"kind": "Exercise", "id": 13179402}, {"kind": "Video", "id": "x2e6c5e31"}, {"kind": "Video", "id": "x1a34ebb5"}, {"kind": "Video", "id": 23848}, {"kind": "Exercise", "id": 3008}, {"kind": "Video", "id": "x0cf3f261"}, {"kind": "Exercise", "id": 3009}, {"kind": "Exercise", "id": 2008}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23850}], "children": [{"translated_youtube_id": "8Ft5iHhauJ0", "relative_url": "/video/division-2", "has_questions": false, "keywords": "long, division, CC_3_OA_2, CC_3_OA_6, CC_3_OA_7, CC_4_NBT_6, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/division-2", "duration": 699, "translated_title": "Introduction to long division", "translated_description_html": "Dividing into larger numbers. Introduction to long division without remainders", "id": "23846", "description_html": "Dividing into larger numbers. Introduction to long division without remainders", "title": "Introduction to long division", "progress_key": "v23846", "edit_slug": "edit/v/23846", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing into larger numbers. Introduction to long division without remainders", "extra_properties": {"original_url": ""}, "node_slug": "v/division-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Ft5iHhauJ0.mp4/8Ft5iHhauJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Ft5iHhauJ0.mp4/8Ft5iHhauJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Ft5iHhauJ0.m3u8/8Ft5iHhauJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Ft5iHhauJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23846", "sha": "74340c1ad6dc060b1b069719ac3e58edf5c863d2", "translated_description": "Dividing into larger numbers. Introduction to long division without remainders", "image_url": "https://img.youtube.com/vi/8Ft5iHhauJ0/hqdefault.jpg", "youtube_id": "8Ft5iHhauJ0", "content_kind": "Video", "readable_id": "division-2"}, {"translated_youtube_id": "BIGX05Mp5nw", "relative_url": "/video/introduction-to-remainders", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-remainders", "duration": 225, "translated_title": "Introduction to remainders", "translated_description_html": "", "id": "x2e6c5e31", "description_html": "", "title": "Introduction to remainders", "progress_key": "vx2e6c5e31", "edit_slug": "edit/v/x2e6c5e31", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-remainders", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T23:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.mp4/BIGX05Mp5nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.mp4/BIGX05Mp5nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BIGX05Mp5nw.m3u8/BIGX05Mp5nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BIGX05Mp5nw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2e6c5e31", "sha": "b584b5cb8b8fc979e4fc0d1430fcf64ad9bca24f", "translated_description": "", "image_url": "https://img.youtube.com/vi/BIGX05Mp5nw/hqdefault.jpg", "youtube_id": "BIGX05Mp5nw", "content_kind": "Video", "readable_id": "introduction-to-remainders"}, {"translated_youtube_id": "MbpmP1esh-Q", "relative_url": "/video/long-division-with-remainder-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/long-division-with-remainder-example", "duration": 161, "translated_title": "Long division with remainder example", "translated_description_html": "", "id": "x1a34ebb5", "description_html": "", "title": "Long division with remainder example", "progress_key": "vx1a34ebb5", "edit_slug": "edit/v/x1a34ebb5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/long-division-with-remainder-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T23:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.mp4/MbpmP1esh-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.mp4/MbpmP1esh-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MbpmP1esh-Q.m3u8/MbpmP1esh-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MbpmP1esh-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a34ebb5", "sha": "f4dbbaa1f999d1d4439d738fe7a0cf7ceaeaa2ce", "translated_description": "", "image_url": "https://img.youtube.com/vi/MbpmP1esh-Q/hqdefault.jpg", "youtube_id": "MbpmP1esh-Q", "content_kind": "Video", "readable_id": "long-division-with-remainder-example"}, {"translated_youtube_id": "NcADzGz3bSI", "relative_url": "/video/division-3--more-long-division-and-remainder-examples", "has_questions": false, "keywords": "long, division, remainder, CC_3_OA_2, CC_3_OA_6, CC_3_OA_7, CC_4_NBT_6, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/division-3--more-long-division-and-remainder-examples", "duration": 607, "translated_title": "More long division without and with remainders", "translated_description_html": "More long division and remainder examples", "id": "23848", "description_html": "More long division and remainder examples", "title": "More long division without and with remainders", "progress_key": "v23848", "edit_slug": "edit/v/23848", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More long division and remainder examples", "extra_properties": {"original_url": ""}, "node_slug": "v/division-3--more-long-division-and-remainder-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.m3u8/NcADzGz3bSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NcADzGz3bSI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23848", "sha": "4ee91bdec6e6680268ec95d54c2ca049159d71a2", "translated_description": "More long division and remainder examples", "image_url": "https://img.youtube.com/vi/NcADzGz3bSI/hqdefault.jpg", "youtube_id": "NcADzGz3bSI", "content_kind": "Video", "readable_id": "division-3--more-long-division-and-remainder-examples"}, {"translated_youtube_id": "xXIG8ouHcsc", "relative_url": "/video/dividing-by-a-two-digit-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-by-a-two-digit-number", "duration": 169, "translated_title": "Dividing by a two digit number", "translated_description_html": "", "id": "x0cf3f261", "description_html": "", "title": "Dividing by a two digit number", "progress_key": "vx0cf3f261", "edit_slug": "edit/v/x0cf3f261", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-by-a-two-digit-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-18T00:54:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.mp4/xXIG8ouHcsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xXIG8ouHcsc.m3u8/xXIG8ouHcsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xXIG8ouHcsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0cf3f261", "sha": "94ac6f19869edba74810694aa18b1921dfd58d04", "translated_description": "", "image_url": "https://img.youtube.com/vi/xXIG8ouHcsc/hqdefault.jpg", "youtube_id": "xXIG8ouHcsc", "content_kind": "Video", "readable_id": "dividing-by-a-two-digit-number"}, {"translated_youtube_id": "gHTH6PKfpMc", "relative_url": "/video/level-4-division", "has_questions": false, "keywords": "Division, math, CC_4_NBT_6, CC_6_NS_2", "ka_url": "http://www.khanacademy.org/video/level-4-division", "duration": 576, "translated_title": "Level 4 division", "translated_description_html": "Dividing a two digit number into a larger number", "id": "23850", "description_html": "Dividing a two digit number into a larger number", "title": "Level 4 division", "progress_key": "v23850", "edit_slug": "edit/v/23850", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing a two digit number into a larger number", "extra_properties": null, "node_slug": "v/level-4-division", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gHTH6PKfpMc.mp4/gHTH6PKfpMc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gHTH6PKfpMc.mp4/gHTH6PKfpMc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gHTH6PKfpMc.m3u8/gHTH6PKfpMc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gHTH6PKfpMc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23850", "sha": "10faf85dd86b2deb6fd7fb898179de1c2aa82f52", "translated_description": "Dividing a two digit number into a larger number", "image_url": "https://img.youtube.com/vi/gHTH6PKfpMc/hqdefault.jpg", "youtube_id": "gHTH6PKfpMc", "content_kind": "Video", "readable_id": "level-4-division"}], "twitter_url": "", "translated_description": "You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as \"long division\", but that's not as much fun to say).\n\nAfter this tutorial, you'll be able to divide any whole number by any other. The fun will not stop!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as \"long division\", but that's not as much fun to say).\n\nAfter this tutorial, you'll be able to divide any whole number by any other. The fun will not stop!", "x_pos": 0.0, "node_slug": "long_division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-18T00:59:30Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8f19baec", "topic_page_url": "/math/arithmetic/multiplication-division/long_division", "extended_slug": "math/arithmetic/multiplication-division/long_division", "slug": "long_division", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1ec2611c62853c81013e706ed888be11ed6aefbe", "standalone_title": "Loooong division!", "y_pos": 0.0, "current_revision_key": "1ec2611c62853c81013e706ed888be11ed6aefbe", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/lattice_multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication", "translated_standalone_title": "Lattice multiplication", "translated_title": "Lattice multiplication", "gplus_url": "", "id": "x477acd87", "old_key_name": "ZSC_-xO9YKWzcF1JmokzZkxmuNhr_jU1KxTSr15g", "hide": false, "title": "Lattice multiplication", "child_data": [{"kind": "Video", "id": 23840}, {"kind": "Video", "id": 23842}], "children": [{"translated_youtube_id": "gS6TfWUv97I", "relative_url": "/video/lattice-multiplication", "has_questions": false, "keywords": "lattice, multiplication, CC_3_OA_5, CC_3_OA_7, CC_4_NBT_5", "ka_url": "http://www.khanacademy.org/video/lattice-multiplication", "duration": 435, "translated_title": "Lattice multiplication", "translated_description_html": "Introduction to lattice multiplication", "id": "23840", "description_html": "Introduction to lattice multiplication", "title": "Lattice multiplication", "progress_key": "v23840", "edit_slug": "edit/v/23840", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to lattice multiplication", "extra_properties": null, "node_slug": "v/lattice-multiplication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gS6TfWUv97I.mp4/gS6TfWUv97I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gS6TfWUv97I.mp4/gS6TfWUv97I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gS6TfWUv97I.m3u8/gS6TfWUv97I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gS6TfWUv97I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23840", "sha": "c4d245bdd19be39ee8c827ba48338e8b3428459d", "translated_description": "Introduction to lattice multiplication", "image_url": "https://img.youtube.com/vi/gS6TfWUv97I/hqdefault.jpg", "youtube_id": "gS6TfWUv97I", "content_kind": "Video", "readable_id": "lattice-multiplication"}, {"translated_youtube_id": "S3z4XqC_YSc", "relative_url": "/video/why-lattice-multiplication-works", "has_questions": false, "keywords": "lattice, multiplication, CC_3_OA_5, CC_3_OA_7, CC_4_NBT_5", "ka_url": "http://www.khanacademy.org/video/why-lattice-multiplication-works", "duration": 501, "translated_title": "Why lattice multiplication works", "translated_description_html": "Understanding why lattice multiplication works", "id": "23842", "description_html": "Understanding why lattice multiplication works", "title": "Why lattice multiplication works", "progress_key": "v23842", "edit_slug": "edit/v/23842", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding why lattice multiplication works", "extra_properties": null, "node_slug": "v/why-lattice-multiplication-works", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S3z4XqC_YSc.mp4/S3z4XqC_YSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S3z4XqC_YSc.mp4/S3z4XqC_YSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S3z4XqC_YSc.m3u8/S3z4XqC_YSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S3z4XqC_YSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23842", "sha": "230a053b422d8ca1752d3d06c8ae8b3e5f92b1f9", "translated_description": "Understanding why lattice multiplication works", "image_url": "https://img.youtube.com/vi/S3z4XqC_YSc/hqdefault.jpg", "youtube_id": "S3z4XqC_YSc", "content_kind": "Video", "readable_id": "why-lattice-multiplication-works"}], "twitter_url": "", "translated_description": "Tired of \"standard multiplication\". In this tutorial we'll explore a different way. Not only is lattice multiplication interesting, it'll help us appreciate that there are many ways to do things. We'll also try to grasp why it works in the first place. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of \"standard multiplication\". In this tutorial we'll explore a different way. Not only is lattice multiplication interesting, it'll help us appreciate that there are many ways to do things. We'll also try to grasp why it works in the first place. Enjoy!", "x_pos": 0.0, "node_slug": "lattice_multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax477acd87", "topic_page_url": "/math/arithmetic/multiplication-division/lattice_multiplication", "extended_slug": "math/arithmetic/multiplication-division/lattice_multiplication", "slug": "lattice_multiplication", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6d74af74e37cbbf44a27c42365da137bf5e50757", "standalone_title": "Lattice multiplication", "y_pos": 0.0, "current_revision_key": "6d74af74e37cbbf44a27c42365da137bf5e50757", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/partial_quotient_division", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division", "translated_standalone_title": "Partial quotient division", "translated_title": "Partial quotient division", "gplus_url": "", "id": "x333cd343", "old_key_name": "lgKg8zUyg5o0NiwsBHtI9U8vcr57HkngGsPt0T4k", "hide": false, "title": "Partial quotient division", "child_data": [{"kind": "Video", "id": 258726800}, {"kind": "Video", "id": 258726799}], "children": [{"translated_youtube_id": "R486L0M5cWk", "relative_url": "/video/partial-quotient-division", "has_questions": false, "keywords": "arithmetic, mental, math", "ka_url": "http://www.khanacademy.org/video/partial-quotient-division", "duration": 507, "translated_title": "Partial quotient method of division", "translated_description_html": "An alternate to traditional long division", "id": "258726800", "description_html": "An alternate to traditional long division", "title": "Partial quotient method of division", "progress_key": "v258726800", "edit_slug": "edit/v/258726800", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An alternate to traditional long division", "extra_properties": null, "node_slug": "v/partial-quotient-division", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-20T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R486L0M5cWk.mp4/R486L0M5cWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R486L0M5cWk.mp4/R486L0M5cWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R486L0M5cWk.m3u8/R486L0M5cWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R486L0M5cWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v258726800", "sha": "bb2403c098077b0c2fb1b8b76406c25e5bdabf16", "translated_description": "An alternate to traditional long division", "image_url": "https://img.youtube.com/vi/R486L0M5cWk/hqdefault.jpg", "youtube_id": "R486L0M5cWk", "content_kind": "Video", "readable_id": "partial-quotient-division"}, {"translated_youtube_id": "omFelSZvaJc", "relative_url": "/video/partial-quotient-method-of-division-2", "has_questions": false, "keywords": "arithmetic", "ka_url": "http://www.khanacademy.org/video/partial-quotient-method-of-division-2", "duration": 476, "translated_title": "Partial quotient method of division 2", "translated_description_html": "Another example of doing long division using the partial quotient method", "id": "258726799", "description_html": "Another example of doing long division using the partial quotient method", "title": "Partial quotient method of division 2", "progress_key": "v258726799", "edit_slug": "edit/v/258726799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of doing long division using the partial quotient method", "extra_properties": null, "node_slug": "v/partial-quotient-method-of-division-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-20T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/omFelSZvaJc.mp4/omFelSZvaJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/omFelSZvaJc.mp4/omFelSZvaJc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/omFelSZvaJc.m3u8/omFelSZvaJc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=omFelSZvaJc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v258726799", "sha": "3c4b7f3bfd4dca36ad35a30f7854daf9fcc99bab", "translated_description": "Another example of doing long division using the partial quotient method", "image_url": "https://img.youtube.com/vi/omFelSZvaJc/hqdefault.jpg", "youtube_id": "omFelSZvaJc", "content_kind": "Video", "readable_id": "partial-quotient-method-of-division-2"}], "twitter_url": "", "translated_description": "Feeling constrained by traditional long division? Want to impress your friends, family and even your enemies? Well, partial quotient division may be for you (or it might not). This very optional tutorial will show you that there are many ways to slice a walnut (just made up that colloquialism).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Feeling constrained by traditional long division? Want to impress your friends, family and even your enemies? Well, partial quotient division may be for you (or it might not). This very optional tutorial will show you that there are many ways to slice a walnut (just made up that colloquialism).", "x_pos": 0.0, "node_slug": "partial_quotient_division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax333cd343", "topic_page_url": "/math/arithmetic/multiplication-division/partial_quotient_division", "extended_slug": "math/arithmetic/multiplication-division/partial_quotient_division", "slug": "partial_quotient_division", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4e2567c3f995f3da0f5ac4d18fe8d2f5d9ee8733", "standalone_title": "Partial quotient division", "y_pos": 0.0, "current_revision_key": "4e2567c3f995f3da0f5ac4d18fe8d2f5d9ee8733", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/advanced-mult-div-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems", "translated_standalone_title": "Fancy multiplication and division word problems", "translated_title": "Fancy multiplication and division word problems", "gplus_url": "", "id": "x9ec90088", "old_key_name": null, "hide": false, "title": "Fancy multiplication and division word problems", "child_data": [{"kind": "Video", "id": "x06f7f404"}, {"kind": "Video", "id": "xad8542bb"}, {"kind": "Video", "id": "x17e8cc3e"}, {"kind": "Exercise", "id": "x9fbba1c4"}], "children": [{"translated_youtube_id": "anlOhNHlqwg", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-1", "duration": 179, "translated_title": "Multi step word problems with whole numbers exercise 1", "translated_description_html": "", "id": "x06f7f404", "description_html": "", "title": "Multi step word problems with whole numbers exercise 1", "progress_key": "vx06f7f404", "edit_slug": "edit/v/x06f7f404", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.mp4/anlOhNHlqwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.mp4/anlOhNHlqwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/anlOhNHlqwg.m3u8/anlOhNHlqwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=anlOhNHlqwg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx06f7f404", "sha": "9f8e49a4ca9fb61e47ca4d3ec562abadcf516654", "translated_description": "", "image_url": "https://img.youtube.com/vi/anlOhNHlqwg/hqdefault.jpg", "youtube_id": "anlOhNHlqwg", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-1"}, {"translated_youtube_id": "cTveNRjWQYo", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-t2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-t2", "duration": 158, "translated_title": "Multi step word problems with whole numbers exercise 2", "translated_description_html": "", "id": "xad8542bb", "description_html": "", "title": "Multi step word problems with whole numbers exercise 2", "progress_key": "vxad8542bb", "edit_slug": "edit/v/xad8542bb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-t2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.mp4/cTveNRjWQYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.mp4/cTveNRjWQYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cTveNRjWQYo.m3u8/cTveNRjWQYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cTveNRjWQYo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxad8542bb", "sha": "c54209683c7067bdc6285ba0457607fbe1321576", "translated_description": "", "image_url": "https://img.youtube.com/vi/cTveNRjWQYo/hqdefault.jpg", "youtube_id": "cTveNRjWQYo", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-t2"}, {"translated_youtube_id": "l7h8A6SX5kY", "relative_url": "/video/multi-step-word-problems-with-whole-numbers-exercise-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multi-step-word-problems-with-whole-numbers-exercise-3", "duration": 130, "translated_title": "Multi step word problems with whole numbers exercise 3", "translated_description_html": "", "id": "x17e8cc3e", "description_html": "", "title": "Multi step word problems with whole numbers exercise 3", "progress_key": "vx17e8cc3e", "edit_slug": "edit/v/x17e8cc3e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multi-step-word-problems-with-whole-numbers-exercise-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.mp4/l7h8A6SX5kY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.mp4/l7h8A6SX5kY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l7h8A6SX5kY.m3u8/l7h8A6SX5kY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l7h8A6SX5kY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx17e8cc3e", "sha": "d79bc3f1b8648a29c6bf608cc291d62b119e4970", "translated_description": "", "image_url": "https://img.youtube.com/vi/l7h8A6SX5kY/hqdefault.jpg", "youtube_id": "l7h8A6SX5kY", "content_kind": "Video", "readable_id": "multi-step-word-problems-with-whole-numbers-exercise-3"}], "twitter_url": "", "translated_description": "In this tutorial, we'll start to challenge you with more sophisticated multiplication and division word problems.\n\nIf you understand mult-digit multiplication and long division, you have all the tools you need to tackle these.\n\nMay the force be with you!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll start to challenge you with more sophisticated multiplication and division word problems.\n\nIf you understand mult-digit multiplication and long division, you have all the tools you need to tackle these.\n\nMay the force be with you!", "x_pos": 0.0, "node_slug": "advanced-mult-div-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T00:13:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9ec90088", "topic_page_url": "/math/arithmetic/multiplication-division/advanced-mult-div-word-problems", "extended_slug": "math/arithmetic/multiplication-division/advanced-mult-div-word-problems", "slug": "advanced-mult-div-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "94c909f3826a4c28dcf3d99d9bc9e04fd7dfa92a", "standalone_title": "Fancy multiplication and division word problems", "y_pos": 0.0, "current_revision_key": "94c909f3826a4c28dcf3d99d9bc9e04fd7dfa92a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/multiplication-division/area-models-multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication", "translated_standalone_title": "Area models and multiplication", "translated_title": "Area models and multiplication", "gplus_url": "", "id": "x276f02a9", "old_key_name": null, "hide": false, "title": "Area models and multiplication", "child_data": [{"kind": "Video", "id": "x29584c60"}, {"kind": "Video", "id": "x58e24008"}], "children": [{"translated_youtube_id": "p0jCw2sqZgs", "relative_url": "/video/understanding-multiplication-through-area-models", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-multiplication-through-area-models", "duration": 298, "translated_title": "Understanding multiplication through area models", "translated_description_html": "", "id": "x29584c60", "description_html": "", "title": "Understanding multiplication through area models", "progress_key": "vx29584c60", "edit_slug": "edit/v/x29584c60", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-multiplication-through-area-models", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.mp4/p0jCw2sqZgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.mp4/p0jCw2sqZgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p0jCw2sqZgs.m3u8/p0jCw2sqZgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p0jCw2sqZgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx29584c60", "sha": "c28205f7494c06e87ada06faaa86b10b40c3751c", "translated_description": "", "image_url": "https://img.youtube.com/vi/p0jCw2sqZgs/hqdefault.jpg", "youtube_id": "p0jCw2sqZgs", "content_kind": "Video", "readable_id": "understanding-multiplication-through-area-models"}, {"translated_youtube_id": "vbGwcvXgDlg", "relative_url": "/video/area-model-for-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-model-for-multiplication", "duration": 527, "translated_title": "Area model for multiplication", "translated_description_html": "", "id": "x58e24008", "description_html": "", "title": "Area model for multiplication", "progress_key": "vx58e24008", "edit_slug": "edit/v/x58e24008", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-model-for-multiplication", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-08T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.mp4/vbGwcvXgDlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.mp4/vbGwcvXgDlg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vbGwcvXgDlg.m3u8/vbGwcvXgDlg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vbGwcvXgDlg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx58e24008", "sha": "4db276689f71db20ddb5da1b525b349339a0a9ff", "translated_description": "", "image_url": "https://img.youtube.com/vi/vbGwcvXgDlg/hqdefault.jpg", "youtube_id": "vbGwcvXgDlg", "content_kind": "Video", "readable_id": "area-model-for-multiplication"}], "twitter_url": "", "translated_description": "Most of us learn to multiply eventually, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of area models, will allow you to be part of this elite group. ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Most of us learn to multiply eventually, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of area models, will allow you to be part of this elite group. ", "x_pos": 0.0, "node_slug": "area-models-multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T16:42:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax276f02a9", "topic_page_url": "/math/arithmetic/multiplication-division/area-models-multiplication", "extended_slug": "math/arithmetic/multiplication-division/area-models-multiplication", "slug": "area-models-multiplication", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "504946dcb6c2e4287c46d46c3ad5b6a40c1a8290", "standalone_title": "Area models and multiplication", "y_pos": 0.0, "current_revision_key": "504946dcb6c2e4287c46d46c3ad5b6a40c1a8290", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Multiplying and dividing positive and negative whole numbers, understanding place value, and rounding numbers.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Multiplying and dividing positive and negative whole numbers, understanding place value, and rounding numbers.", "x_pos": -5.0, "node_slug": "multiplication-division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-30T18:25:08Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd096915e", "topic_page_url": "/math/arithmetic/multiplication-division", "extended_slug": "math/arithmetic/multiplication-division", "slug": "multiplication-division", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a28e053e6de227abc1f40a90dd3759dbc149283e", "standalone_title": "Multiplication and division", "y_pos": 6.0, "current_revision_key": "a28e053e6de227abc1f40a90dd3759dbc149283e", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/factors-multiples-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples", "translated_standalone_title": "Factors and multiples", "translated_title": "Factors and multiples", "gplus_url": "", "id": "x3b866d76", "old_key_name": "sKjw8V-WXbRYuuomASZQ5frgIw26JwZwK9yjuMdv", "hide": false, "title": "Factors and multiples", "child_data": [{"kind": "Topic", "id": "xb189e35d"}, {"kind": "Topic", "id": "xa9e93434"}, {"kind": "Topic", "id": "x38d4e530"}, {"kind": "Topic", "id": "xe4151398"}, {"kind": "Topic", "id": "x82355e5d"}, {"kind": "Topic", "id": "xcfe5d41e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/divisibility_tests", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/divisibility_tests", "translated_standalone_title": "Divisibility tests", "translated_title": "Divisibility tests", "gplus_url": "", "id": "xb189e35d", "old_key_name": "lhwBJ6S0zxbxrI5xfJZDuEhJvd0Gvi9dEe-shN3r", "hide": false, "title": "Divisibility tests", "child_data": [{"kind": "Video", "id": 1245177424}, {"kind": "Video", "id": 2600702}, {"kind": "Video", "id": 884395195}, {"kind": "Video", "id": 1245280895}, {"kind": "Exercise", "id": 840079350}], "children": [{"translated_youtube_id": "Df9h5t64NlQ", "relative_url": "/video/divisibility-tests-for-2--3--4--5--6--9--10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divisibility-tests-for-2--3--4--5--6--9--10", "duration": 393, "translated_title": "Divisibility tests for 2, 3, 4, 5, 6, 9, 10", "translated_description_html": "Worked example of basic divisibility tests", "id": "1245177424", "description_html": "Worked example of basic divisibility tests", "title": "Divisibility tests for 2, 3, 4, 5, 6, 9, 10", "progress_key": "v1245177424", "edit_slug": "edit/v/1245177424", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example of basic divisibility tests", "extra_properties": null, "node_slug": "v/divisibility-tests-for-2--3--4--5--6--9--10", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-12-22T06:27:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Df9h5t64NlQ.mp4/Df9h5t64NlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Df9h5t64NlQ.mp4/Df9h5t64NlQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Df9h5t64NlQ.m3u8/Df9h5t64NlQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Df9h5t64NlQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1245177424", "sha": "11e6009dc918573070774fe864b1598bd9b301cd", "translated_description": "Worked example of basic divisibility tests", "image_url": "https://img.youtube.com/vi/Df9h5t64NlQ/hqdefault.jpg", "youtube_id": "Df9h5t64NlQ", "content_kind": "Video", "readable_id": "divisibility-tests-for-2--3--4--5--6--9--10"}, {"translated_youtube_id": "2G_Jr_XpnY4", "relative_url": "/video/recognizing-divisibility", "has_questions": false, "keywords": "U02_L1_T3_we1, Recognizing, Divisibility, CC_3_OA_7", "ka_url": "http://www.khanacademy.org/video/recognizing-divisibility", "duration": 386, "translated_title": "Recognizing divisibility", "translated_description_html": "Recognizing Divisibility", "id": "2600702", "description_html": "Recognizing Divisibility", "title": "Recognizing divisibility", "progress_key": "v2600702", "edit_slug": "edit/v/2600702", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Recognizing Divisibility", "extra_properties": null, "node_slug": "v/recognizing-divisibility", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2G_Jr_XpnY4.mp4/2G_Jr_XpnY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2G_Jr_XpnY4.mp4/2G_Jr_XpnY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2G_Jr_XpnY4.m3u8/2G_Jr_XpnY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2G_Jr_XpnY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600702", "sha": "66be380df151f9ede4cdd40ca0f74816bbb16fe8", "translated_description": "Recognizing Divisibility", "image_url": "https://img.youtube.com/vi/2G_Jr_XpnY4/hqdefault.jpg", "youtube_id": "2G_Jr_XpnY4", "content_kind": "Video", "readable_id": "recognizing-divisibility"}, {"translated_youtube_id": "NehkLV77ITk", "relative_url": "/video/the-why-of-the-3-divisibility-rule", "has_questions": false, "keywords": "divisibility", "ka_url": "http://www.khanacademy.org/video/the-why-of-the-3-divisibility-rule", "duration": 303, "translated_title": "The why of the 3 divisibility rule", "translated_description_html": "Why you can add the digits to see if something is divisible by 3", "id": "884395195", "description_html": "Why you can add the digits to see if something is divisible by 3", "title": "The why of the 3 divisibility rule", "progress_key": "v884395195", "edit_slug": "edit/v/884395195", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why you can add the digits to see if something is divisible by 3", "extra_properties": null, "node_slug": "v/the-why-of-the-3-divisibility-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-03T14:10:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.m3u8/NehkLV77ITk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NehkLV77ITk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884395195", "sha": "edf47bb810464de5b5f660b123e098d009deba26", "translated_description": "Why you can add the digits to see if something is divisible by 3", "image_url": "https://img.youtube.com/vi/NehkLV77ITk/hqdefault.jpg", "youtube_id": "NehkLV77ITk", "content_kind": "Video", "readable_id": "the-why-of-the-3-divisibility-rule"}, {"translated_youtube_id": "XAzFGx3Ruig", "relative_url": "/video/the-why-of-the-9-divisibility-rule", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-why-of-the-9-divisibility-rule", "duration": 308, "translated_title": "The why of the 9 divisibility rule", "translated_description_html": "Why you can test divisibility by 9 by just adding the digits", "id": "1245280895", "description_html": "Why you can test divisibility by 9 by just adding the digits", "title": "The why of the 9 divisibility rule", "progress_key": "v1245280895", "edit_slug": "edit/v/1245280895", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why you can test divisibility by 9 by just adding the digits", "extra_properties": null, "node_slug": "v/the-why-of-the-9-divisibility-rule", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-22T06:26:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.mp4/XAzFGx3Ruig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.mp4/XAzFGx3Ruig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.m3u8/XAzFGx3Ruig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XAzFGx3Ruig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1245280895", "sha": "c593547947a94b1d7bacc039a9cf63576d7176d4", "translated_description": "Why you can test divisibility by 9 by just adding the digits", "image_url": "https://img.youtube.com/vi/XAzFGx3Ruig/hqdefault.jpg", "youtube_id": "XAzFGx3Ruig", "content_kind": "Video", "readable_id": "the-why-of-the-9-divisibility-rule"}], "twitter_url": "", "translated_description": "Whether you are trying to impress your dog's friends (who are obsessed with figuring out number divisibility) or quickly factor a number, it can be very useful to tell whether a number is divisible by another. This tutorial walks through some of the more standard divisibility methods and describes why they work.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are trying to impress your dog's friends (who are obsessed with figuring out number divisibility) or quickly factor a number, it can be very useful to tell whether a number is divisible by another. This tutorial walks through some of the more standard divisibility methods and describes why they work.", "x_pos": 0.0, "node_slug": "divisibility_tests", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb189e35d", "topic_page_url": "/math/arithmetic/factors-multiples/divisibility_tests", "extended_slug": "math/arithmetic/factors-multiples/divisibility_tests", "slug": "divisibility_tests", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b5adc576a622b2a2e15b97c94b42cc62032b2603", "standalone_title": "Divisibility tests", "y_pos": 0.0, "current_revision_key": "b5adc576a622b2a2e15b97c94b42cc62032b2603", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/divisibility_and_factors", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/divisibility_and_factors", "translated_standalone_title": "Divisibility and factors", "translated_title": "Divisibility and factors", "gplus_url": "", "id": "xa9e93434", "old_key_name": "uvGcbezoeJNd5iY75tsRoIBqi3T0qX_r8XW8n35b", "hide": false, "title": "Divisibility and factors", "child_data": [{"kind": "Video", "id": 2600703}, {"kind": "Video", "id": "xb863d3f2"}, {"kind": "Exercise", "id": 338014133}, {"kind": "Video", "id": 884313452}, {"kind": "Exercise", "id": 805202785}], "children": [{"translated_youtube_id": "vcn2ruTOwFo", "relative_url": "/video/finding-factors-of-a-number", "has_questions": false, "keywords": "U02_L1_T3_we2, Finding, Factors, of, Number, CC_3_OA_6, CC_4_OA_4, CC_6_NS_4, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/finding-factors-of-a-number", "duration": 593, "translated_title": "Finding factors of a number", "translated_description_html": "Finding Factors of a Number", "id": "2600703", "description_html": "Finding Factors of a Number", "title": "Finding factors of a number", "progress_key": "v2600703", "edit_slug": "edit/v/2600703", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding Factors of a Number", "extra_properties": null, "node_slug": "v/finding-factors-of-a-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.m3u8/vcn2ruTOwFo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vcn2ruTOwFo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600703", "sha": "a59a56ac23fd6b41c5c877434c5f20dcf629177e", "translated_description": "Finding Factors of a Number", "image_url": "https://img.youtube.com/vi/vcn2ruTOwFo/hqdefault.jpg", "youtube_id": "vcn2ruTOwFo", "content_kind": "Video", "readable_id": "finding-factors-of-a-number"}, {"translated_youtube_id": "5xe-6GPR_qQ", "relative_url": "/video/finding-factors-and-multiples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-factors-and-multiples", "duration": 240, "translated_title": "Finding factors and multiples", "translated_description_html": "", "id": "xb863d3f2", "description_html": "", "title": "Finding factors and multiples", "progress_key": "vxb863d3f2", "edit_slug": "edit/v/xb863d3f2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-factors-and-multiples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-05T18:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.mp4/5xe-6GPR_qQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.mp4/5xe-6GPR_qQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5xe-6GPR_qQ.m3u8/5xe-6GPR_qQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5xe-6GPR_qQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb863d3f2", "sha": "8be2c8435a50cad765acd9fedaf8137e12264d7d", "translated_description": "", "image_url": "https://img.youtube.com/vi/5xe-6GPR_qQ/hqdefault.jpg", "youtube_id": "5xe-6GPR_qQ", "content_kind": "Video", "readable_id": "finding-factors-and-multiples"}, {"translated_youtube_id": "AHRh3EpJQH0", "relative_url": "/video/divisibility-intuition", "has_questions": false, "keywords": "divisibility, factors, intuition", "ka_url": "http://www.khanacademy.org/video/divisibility-intuition", "duration": 190, "translated_title": "Divisibility intuition", "translated_description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "id": "884313452", "description_html": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "title": "Divisibility intuition", "progress_key": "v884313452", "edit_slug": "edit/v/884313452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "extra_properties": null, "node_slug": "v/divisibility-intuition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-07-03T14:14:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.mp4/AHRh3EpJQH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AHRh3EpJQH0.m3u8/AHRh3EpJQH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AHRh3EpJQH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884313452", "sha": "b43d67ade1c2e6f948dab8c92be243c19b43e72f", "translated_description": "Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition", "image_url": "https://img.youtube.com/vi/AHRh3EpJQH0/hqdefault.jpg", "youtube_id": "AHRh3EpJQH0", "content_kind": "Video", "readable_id": "divisibility-intuition"}], "twitter_url": "", "translated_description": "In this tutorial, we'll begin to think about the numbers that \"make up\" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll begin to think about the numbers that \"make up\" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!", "x_pos": 0.0, "node_slug": "divisibility_and_factors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa9e93434", "topic_page_url": "/math/arithmetic/factors-multiples/divisibility_and_factors", "extended_slug": "math/arithmetic/factors-multiples/divisibility_and_factors", "slug": "divisibility_and_factors", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "76ad2191b49210aa430eb7bdb5c98d3bc9ea358b", "standalone_title": "Divisibility and factors", "y_pos": 0.0, "current_revision_key": "76ad2191b49210aa430eb7bdb5c98d3bc9ea358b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/prime_numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/prime_numbers", "translated_standalone_title": "Prime numbers", "translated_title": "Prime numbers", "gplus_url": "", "id": "x38d4e530", "old_key_name": "-b1kriJpBnSV96_KoYAf5AettnsLi0qpcDWenpta", "hide": false, "title": "Prime numbers", "child_data": [{"kind": "Video", "id": 85595310}, {"kind": "Video", "id": 158925083}, {"kind": "Exercise", "id": 3849070}, {"kind": "Exercise", "id": 702484106}], "children": [{"translated_youtube_id": "mIStB5X4U8M", "relative_url": "/video/prime-numbers", "has_questions": false, "keywords": "prime, numbers, CC_4_OA_4", "ka_url": "http://www.khanacademy.org/video/prime-numbers", "duration": 493, "translated_title": "Prime numbers", "translated_description_html": "Identifying prime numbers", "id": "85595310", "description_html": "Identifying prime numbers", "title": "Prime numbers", "progress_key": "v85595310", "edit_slug": "edit/v/85595310", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identifying prime numbers", "extra_properties": null, "node_slug": "v/prime-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-05-12T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.mp4/mIStB5X4U8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.mp4/mIStB5X4U8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mIStB5X4U8M.m3u8/mIStB5X4U8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mIStB5X4U8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85595310", "sha": "110b70e47a69407e3c1616b781b977bfd712c3e4", "translated_description": "Identifying prime numbers", "image_url": "https://img.youtube.com/vi/mIStB5X4U8M/hqdefault.jpg", "youtube_id": "mIStB5X4U8M", "content_kind": "Video", "readable_id": "prime-numbers"}, {"translated_youtube_id": "3h4UK62Qrbo", "relative_url": "/video/recognizing-prime-numbers", "has_questions": false, "keywords": "U02_L1_T3_we4, Recognizing, Prime, Numbers", "ka_url": "http://www.khanacademy.org/video/recognizing-prime-numbers", "duration": 280, "translated_title": "Recognizing prime numbers", "translated_description_html": "Recognizing Prime Numbers", "id": "158925083", "description_html": "Recognizing Prime Numbers", "title": "Recognizing prime numbers", "progress_key": "v158925083", "edit_slug": "edit/v/158925083", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Recognizing Prime Numbers", "extra_properties": null, "node_slug": "v/recognizing-prime-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.mp4/3h4UK62Qrbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.mp4/3h4UK62Qrbo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3h4UK62Qrbo.m3u8/3h4UK62Qrbo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3h4UK62Qrbo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925083", "sha": "443ec482422c10d998c2911017caf6b4f28a1ca7", "translated_description": "Recognizing Prime Numbers", "image_url": "https://img.youtube.com/vi/3h4UK62Qrbo/hqdefault.jpg", "youtube_id": "3h4UK62Qrbo", "content_kind": "Video", "readable_id": "recognizing-prime-numbers"}], "twitter_url": "", "translated_description": "Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.", "x_pos": 0.0, "node_slug": "prime_numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax38d4e530", "topic_page_url": "/math/arithmetic/factors-multiples/prime_numbers", "extended_slug": "math/arithmetic/factors-multiples/prime_numbers", "slug": "prime_numbers", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "eebbf177ed71ff340b7a8d6fad1b5f08e0b702cf", "standalone_title": "Prime numbers", "y_pos": 0.0, "current_revision_key": "eebbf177ed71ff340b7a8d6fad1b5f08e0b702cf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/prime_factorization", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/prime_factorization", "translated_standalone_title": "Prime factorization", "translated_title": "Prime factorization", "gplus_url": "", "id": "xe4151398", "old_key_name": "wXVzZpwOnGKJOeouWIbYytmKjXoClR_-RI52EyQ2", "hide": false, "title": "Prime factorization", "child_data": [{"kind": "Video", "id": 2600704}, {"kind": "Video", "id": "xf27acc45"}, {"kind": "Exercise", "id": 4166558}, {"kind": "Video", "id": 884392300}, {"kind": "Exercise", "id": 805402547}, {"kind": "Video", "id": 56195550}, {"kind": "Exercise", "id": 4800209}], "children": [{"translated_youtube_id": "ZKKDTfHcsG0", "relative_url": "/video/prime-factorization", "has_questions": false, "keywords": "U02_L1_T3_we3, Prime, Factorization, CC_4_OA_4", "ka_url": "http://www.khanacademy.org/video/prime-factorization", "duration": 249, "translated_title": "Prime factorization", "translated_description_html": "Prime Factorization", "id": "2600704", "description_html": "Prime Factorization", "title": "Prime factorization", "progress_key": "v2600704", "edit_slug": "edit/v/2600704", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Prime Factorization", "extra_properties": null, "node_slug": "v/prime-factorization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZKKDTfHcsG0.mp4/ZKKDTfHcsG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZKKDTfHcsG0.mp4/ZKKDTfHcsG0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZKKDTfHcsG0.m3u8/ZKKDTfHcsG0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZKKDTfHcsG0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600704", "sha": "ab50658dde54156634ae4a9c06e52cab37d54404", "translated_description": "Prime Factorization", "image_url": "https://img.youtube.com/vi/ZKKDTfHcsG0/hqdefault.jpg", "youtube_id": "ZKKDTfHcsG0", "content_kind": "Video", "readable_id": "prime-factorization"}, {"translated_youtube_id": "XWq8bplP-_E", "relative_url": "/video/prime-factorization-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/prime-factorization-exercise", "duration": 229, "translated_title": "Prime factorization exercise", "translated_description_html": "", "id": "xf27acc45", "description_html": "", "title": "Prime factorization exercise", "progress_key": "vxf27acc45", "edit_slug": "edit/v/xf27acc45", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/prime-factorization-exercise", "deleted": false, "backup_timestamp": "2013-09-20T10:49:43Z", "date_added": "2013-07-25T00:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XWq8bplP-_E.mp4/XWq8bplP-_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XWq8bplP-_E.mp4/XWq8bplP-_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XWq8bplP-_E.m3u8/XWq8bplP-_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XWq8bplP-_E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf27acc45", "sha": "f2c4a88d935a1fcca553b54c6e09786fce44ffd8", "translated_description": "", "image_url": "https://img.youtube.com/vi/XWq8bplP-_E/hqdefault.jpg", "youtube_id": "XWq8bplP-_E", "content_kind": "Video", "readable_id": "prime-factorization-exercise"}, {"translated_youtube_id": "uzvopM4PZLw", "relative_url": "/video/the-fundamental-theorem-of-arithmetic", "has_questions": false, "keywords": "fundamental, theorem, of, arithmetic", "ka_url": "http://www.khanacademy.org/video/the-fundamental-theorem-of-arithmetic", "duration": 273, "translated_title": "The fundamental theorem of arithmetic", "translated_description_html": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "id": "884392300", "description_html": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "title": "The fundamental theorem of arithmetic", "progress_key": "v884392300", "edit_slug": "edit/v/884392300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "extra_properties": null, "node_slug": "v/the-fundamental-theorem-of-arithmetic", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-07-03T14:16:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.m3u8/uzvopM4PZLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzvopM4PZLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v884392300", "sha": "b31f5f784f98ae59211243db6c22a3b6ecce5db6", "translated_description": "Ben Eater and Sal walk through the \"Fundamental theorem of arithmetic\" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic", "image_url": "https://img.youtube.com/vi/uzvopM4PZLw/hqdefault.jpg", "youtube_id": "uzvopM4PZLw", "content_kind": "Video", "readable_id": "the-fundamental-theorem-of-arithmetic"}, {"translated_youtube_id": "zWcfVC-oCNw", "relative_url": "/video/common-divisibility-examples", "has_questions": false, "keywords": "divisibility, prime, factorization", "ka_url": "http://www.khanacademy.org/video/common-divisibility-examples", "duration": 475, "translated_title": "Common divisibility examples", "translated_description_html": "Common Divisibility Examples", "id": "56195550", "description_html": "Common Divisibility Examples", "title": "Common divisibility examples", "progress_key": "v56195550", "edit_slug": "edit/v/56195550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Common Divisibility Examples", "extra_properties": null, "node_slug": "v/common-divisibility-examples", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-04-10T00:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zWcfVC-oCNw.mp4/zWcfVC-oCNw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zWcfVC-oCNw.mp4/zWcfVC-oCNw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zWcfVC-oCNw.m3u8/zWcfVC-oCNw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zWcfVC-oCNw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v56195550", "sha": "ff8a96314cf6036afce81c481f525d97ce04724e", "translated_description": "Common Divisibility Examples", "image_url": "https://img.youtube.com/vi/zWcfVC-oCNw/hqdefault.jpg", "youtube_id": "zWcfVC-oCNw", "content_kind": "Video", "readable_id": "common-divisibility-examples"}], "twitter_url": "", "translated_description": "You know what prime numbers are and how to identify them. In this tutorial, we'll see that *all* positive whole numbers can be broken down into products of prime numbers (In some way, prime numbers are the \"atoms\" of the number world that can be multiplied to create any other number). Besides being a fascinating idea, it is also extremely useful. Prime factorization can be used to decrypt encrypted information!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what prime numbers are and how to identify them. In this tutorial, we'll see that *all* positive whole numbers can be broken down into products of prime numbers (In some way, prime numbers are the \"atoms\" of the number world that can be multiplied to create any other number). Besides being a fascinating idea, it is also extremely useful. Prime factorization can be used to decrypt encrypted information!", "x_pos": 0.0, "node_slug": "prime_factorization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T00:57:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe4151398", "topic_page_url": "/math/arithmetic/factors-multiples/prime_factorization", "extended_slug": "math/arithmetic/factors-multiples/prime_factorization", "slug": "prime_factorization", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6481e1f3d3f2ef649ac6a8ddc41bd21759d2187f", "standalone_title": "Prime factorization", "y_pos": 0.0, "current_revision_key": "6481e1f3d3f2ef649ac6a8ddc41bd21759d2187f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/least_common_multiple", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/least_common_multiple", "translated_standalone_title": "Least common multiple", "translated_title": "Least common multiple", "gplus_url": "", "id": "x82355e5d", "old_key_name": "FVlztjNoy9y7yLvy0j6wMQlAIgxI0DITwDPssDbA", "hide": false, "title": "Least common multiple", "child_data": [{"kind": "Video", "id": "x19e7b12a"}, {"kind": "Video", "id": "xafe97682"}, {"kind": "Video", "id": 158925086}, {"kind": "Video", "id": 23862}, {"kind": "Exercise", "id": 2019}], "children": [{"translated_youtube_id": "znmPfDfsir8", "relative_url": "/video/least-common-multiple-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/least-common-multiple-exercise", "duration": 256, "translated_title": "Least common multiple exercise", "translated_description_html": "", "id": "x19e7b12a", "description_html": "", "title": "Least common multiple exercise", "progress_key": "vx19e7b12a", "edit_slug": "edit/v/x19e7b12a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/least-common-multiple-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T00:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.mp4/znmPfDfsir8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.mp4/znmPfDfsir8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znmPfDfsir8.m3u8/znmPfDfsir8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znmPfDfsir8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19e7b12a", "sha": "417bc1dc1aec56b19430f125481e8cfe4196b1f0", "translated_description": "", "image_url": "https://img.youtube.com/vi/znmPfDfsir8/hqdefault.jpg", "youtube_id": "znmPfDfsir8", "content_kind": "Video", "readable_id": "least-common-multiple-exercise"}, {"translated_youtube_id": "QUem_2dkB9I", "relative_url": "/video/least-common-multiple-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/least-common-multiple-exercise-2", "duration": 155, "translated_title": "Least common multiple exercise 2", "translated_description_html": "", "id": "xafe97682", "description_html": "", "title": "Least common multiple exercise 2", "progress_key": "vxafe97682", "edit_slug": "edit/v/xafe97682", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/least-common-multiple-exercise-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T00:52:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.mp4/QUem_2dkB9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.mp4/QUem_2dkB9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QUem_2dkB9I.m3u8/QUem_2dkB9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QUem_2dkB9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxafe97682", "sha": "9178dce90e054ab5bae40371a95e353d3a9c8072", "translated_description": "", "image_url": "https://img.youtube.com/vi/QUem_2dkB9I/hqdefault.jpg", "youtube_id": "QUem_2dkB9I", "content_kind": "Video", "readable_id": "least-common-multiple-exercise-2"}, {"translated_youtube_id": "D6yHKOYJiso", "relative_url": "/video/least-common-multiple--lcm", "has_questions": false, "keywords": "U02_L3_T1_we6, Least, Common, Multiple, (LCM)", "ka_url": "http://www.khanacademy.org/video/least-common-multiple--lcm", "duration": 324, "translated_title": "Least common multiple (LCM)", "translated_description_html": "Least Common Multiple (LCM)", "id": "158925086", "description_html": "Least Common Multiple (LCM)", "title": "Least common multiple (LCM)", "progress_key": "v158925086", "edit_slug": "edit/v/158925086", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Least Common Multiple (LCM)", "extra_properties": null, "node_slug": "v/least-common-multiple--lcm", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.mp4/D6yHKOYJiso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.mp4/D6yHKOYJiso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D6yHKOYJiso.m3u8/D6yHKOYJiso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D6yHKOYJiso&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925086", "sha": "862cb4bd4eec90dc3c542259a83b61fd47334c80", "translated_description": "Least Common Multiple (LCM)", "image_url": "https://img.youtube.com/vi/D6yHKOYJiso/hqdefault.jpg", "youtube_id": "D6yHKOYJiso", "content_kind": "Video", "readable_id": "least-common-multiple--lcm"}, {"translated_youtube_id": "cH-jaMCzIRk", "relative_url": "/video/least-common-multiple", "has_questions": false, "keywords": "math, elementary, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/least-common-multiple", "duration": 241, "translated_title": "Old least common multiple", "translated_description_html": "Example of figuring out the least common multiple of two numbers.  This is one of the very first videos made on Khan Academy.    Mistake notice:  Sal forgets 56 as a multiple of 8.", "id": "23862", "description_html": "Example of figuring out the least common multiple of two numbers.  This is one of the very first videos made on Khan Academy.    Mistake notice:  Sal forgets 56 as a multiple of 8.", "title": "Old least common multiple", "progress_key": "v23862", "edit_slug": "edit/v/23862", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of figuring out the least common multiple of two numbers.  This is one of the very first videos made on Khan Academy.    Mistake notice:  Sal forgets 56 as a multiple of 8.", "extra_properties": {"original_url": ""}, "node_slug": "v/least-common-multiple", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cH-jaMCzIRk.mp4/cH-jaMCzIRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cH-jaMCzIRk.mp4/cH-jaMCzIRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cH-jaMCzIRk.m3u8/cH-jaMCzIRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cH-jaMCzIRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23862", "sha": "ff940f0e01ce555198518ae148a7079c1d321ced", "translated_description": "Example of figuring out the least common multiple of two numbers.  This is one of the very first videos made on Khan Academy.    Mistake notice:  Sal forgets 56 as a multiple of 8.", "image_url": "https://img.youtube.com/vi/cH-jaMCzIRk/hqdefault.jpg", "youtube_id": "cH-jaMCzIRk", "content_kind": "Video", "readable_id": "least-common-multiple"}], "twitter_url": "", "translated_description": "Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.", "x_pos": 0.0, "node_slug": "least_common_multiple", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T00:57:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax82355e5d", "topic_page_url": "/math/arithmetic/factors-multiples/least_common_multiple", "extended_slug": "math/arithmetic/factors-multiples/least_common_multiple", "slug": "least_common_multiple", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "2c05d173cb0a054e863d4bec8046af6125f69a26", "standalone_title": "Least common multiple", "y_pos": 0.0, "current_revision_key": "2c05d173cb0a054e863d4bec8046af6125f69a26", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/factors-multiples/greatest_common_divisor", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/factors-multiples/greatest_common_divisor", "translated_standalone_title": "Greatest common divisor", "translated_title": "Greatest common divisor", "gplus_url": "", "id": "xcfe5d41e", "old_key_name": "H4CEPoDIuHA6GWXaH_nJw6vGfktlAFT0yFI1x5ws", "hide": false, "title": "Greatest common divisor", "child_data": [{"kind": "Video", "id": "x0fbf66ba"}, {"kind": "Video", "id": 23860}, {"kind": "Exercise", "id": 2018}, {"kind": "Video", "id": "x59fe3ed2"}, {"kind": "Exercise", "id": 449514451}], "children": [{"translated_youtube_id": "bLTfBvkrfsM", "relative_url": "/video/greatest-common-divisor-factor-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/greatest-common-divisor-factor-exercise", "duration": 410, "translated_title": "Greatest common divisor factor exercise", "translated_description_html": "", "id": "x0fbf66ba", "description_html": "", "title": "Greatest common divisor factor exercise", "progress_key": "vx0fbf66ba", "edit_slug": "edit/v/x0fbf66ba", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/greatest-common-divisor-factor-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-25T00:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.mp4/bLTfBvkrfsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.mp4/bLTfBvkrfsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bLTfBvkrfsM.m3u8/bLTfBvkrfsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bLTfBvkrfsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0fbf66ba", "sha": "5b9def1b6f891b3ac16bdfddaf8e0761674e11eb", "translated_description": "", "image_url": "https://img.youtube.com/vi/bLTfBvkrfsM/hqdefault.jpg", "youtube_id": "bLTfBvkrfsM", "content_kind": "Video", "readable_id": "greatest-common-divisor-factor-exercise"}, {"translated_youtube_id": "jFd-6EPfnec", "relative_url": "/video/greatest-common-divisor", "has_questions": false, "keywords": "math, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/greatest-common-divisor", "duration": 378, "translated_title": "Greatest common divisor", "translated_description_html": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "id": "23860", "description_html": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "title": "Greatest common divisor", "progress_key": "v23860", "edit_slug": "edit/v/23860", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "extra_properties": null, "node_slug": "v/greatest-common-divisor", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.mp4/jFd-6EPfnec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.mp4/jFd-6EPfnec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFd-6EPfnec.m3u8/jFd-6EPfnec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFd-6EPfnec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23860", "sha": "8d7cf6cd6124c85529e1b9cb6c61be8ebb7ed720", "translated_description": "4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first", "image_url": "https://img.youtube.com/vi/jFd-6EPfnec/hqdefault.jpg", "youtube_id": "jFd-6EPfnec", "content_kind": "Video", "readable_id": "greatest-common-divisor"}, {"translated_youtube_id": "1Vb8t7Y-pI0", "relative_url": "/video/lcm-and-gcf-greatest-common-factor--word-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lcm-and-gcf-greatest-common-factor--word-problems", "duration": 514, "translated_title": "LCM and GCF (greatest common factor) word problems", "translated_description_html": "", "id": "x59fe3ed2", "description_html": "", "title": "LCM and GCF (greatest common factor) word problems", "progress_key": "vx59fe3ed2", "edit_slug": "edit/v/x59fe3ed2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/lcm-and-gcf-greatest-common-factor--word-problems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-25T00:52:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.mp4/1Vb8t7Y-pI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.mp4/1Vb8t7Y-pI0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Vb8t7Y-pI0.m3u8/1Vb8t7Y-pI0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Vb8t7Y-pI0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx59fe3ed2", "sha": "7d975722a85987818ca895272ba015f2730c9582", "translated_description": "", "image_url": "https://img.youtube.com/vi/1Vb8t7Y-pI0/hqdefault.jpg", "youtube_id": "1Vb8t7Y-pI0", "content_kind": "Video", "readable_id": "lcm-and-gcf-greatest-common-factor--word-problems"}], "twitter_url": "", "translated_description": "You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!", "x_pos": 0.0, "node_slug": "greatest_common_divisor", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T00:57:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcfe5d41e", "topic_page_url": "/math/arithmetic/factors-multiples/greatest_common_divisor", "extended_slug": "math/arithmetic/factors-multiples/greatest_common_divisor", "slug": "greatest_common_divisor", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "560f7fe8eabc5397e7b4e0f4aa63c9d2e8f97d1c", "standalone_title": "Greatest common divisor", "y_pos": 0.0, "current_revision_key": "560f7fe8eabc5397e7b4e0f4aa63c9d2e8f97d1c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding and finding factors and multiples. After these videos, you'll be ready for fractions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding and finding factors and multiples. After these videos, you'll be ready for fractions.", "x_pos": -10.0, "node_slug": "factors-multiples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3b866d76", "topic_page_url": "/math/arithmetic/factors-multiples", "extended_slug": "math/arithmetic/factors-multiples", "slug": "factors-multiples", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0af4c0e293129f48a24dee5a3e54d192d893b540", "standalone_title": "Factors and multiples", "y_pos": 12.0, "current_revision_key": "0af4c0e293129f48a24dee5a3e54d192d893b540", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/absolute-value-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/absolute-value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/absolute-value", "translated_standalone_title": "Negative numbers and absolute value", "translated_title": "Negative numbers and absolute value", "gplus_url": "", "id": "xa359f5de", "old_key_name": "dCbo4FwcSVKyciaY4Ok6F0a-FtFxcOcAKOILdb6q", "hide": false, "title": "Negative numbers and absolute value", "child_data": [{"kind": "Topic", "id": "x0152989f"}, {"kind": "Topic", "id": "xe536c77e"}, {"kind": "Topic", "id": "xfccfe5f0"}, {"kind": "Topic", "id": "x79ef7171"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/absolute-value/add-sub-negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/absolute-value/add-sub-negatives", "translated_standalone_title": "Negative number basics", "translated_title": "Negative number basics", "gplus_url": "", "id": "x0152989f", "old_key_name": "coAejpWGZBNiRXYkO5IjRy3HibIhR2jniJ2097Oj", "hide": false, "title": "Negative number basics", "child_data": [{"kind": "Video", "id": 19647488}, {"kind": "Exercise", "id": 265365034}, {"kind": "Video", "id": "x0546ae25"}, {"kind": "Exercise", "id": 357396312}, {"kind": "Video", "id": 211177353}, {"kind": "Exercise", "id": 205304798}, {"kind": "Exercise", "id": "xf9bcac7c"}], "children": [{"translated_youtube_id": "Hlal9ME2Aig", "relative_url": "/video/negative-numbers-introduction", "has_questions": false, "keywords": "Negative, Numbers, Introduction, CC_6_NS_5, CC_6_NS_7_a, CC_6_NS_7_b", "ka_url": "http://www.khanacademy.org/video/negative-numbers-introduction", "duration": 576, "translated_title": "Negative numbers introduction", "translated_description_html": null, "id": "19647488", "description_html": null, "title": "Negative numbers introduction", "progress_key": "v19647488", "edit_slug": "edit/v/19647488", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": null, "extra_properties": null, "node_slug": "v/negative-numbers-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:51:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.m3u8/Hlal9ME2Aig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hlal9ME2Aig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v19647488", "sha": "9d4f282a6b813f72503a105cf767062a7e3d4b72", "translated_description": null, "image_url": "https://img.youtube.com/vi/Hlal9ME2Aig/hqdefault.jpg", "youtube_id": "Hlal9ME2Aig", "content_kind": "Video", "readable_id": "negative-numbers-introduction"}, {"translated_youtube_id": "khwsah_svW8", "relative_url": "/video/number-line-3-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-line-3-exercise-example", "duration": 188, "translated_title": "Number line 3 exercise examples", "translated_description_html": "


<\/p>", "id": "x0546ae25", "description_html": "


<\/p>", "title": "Number line 3 exercise examples", "progress_key": "vx0546ae25", "edit_slug": "edit/v/x0546ae25", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-line-3-exercise-example", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-10-01T16:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.mp4/khwsah_svW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.mp4/khwsah_svW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/khwsah_svW8.m3u8/khwsah_svW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=khwsah_svW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0546ae25", "sha": "9752bffa9d6c2f2163b00c313c17967ff68da2e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/khwsah_svW8/hqdefault.jpg", "youtube_id": "khwsah_svW8", "content_kind": "Video", "readable_id": "number-line-3-exercise-example"}, {"translated_youtube_id": "VW6UrPKPInA", "relative_url": "/video/ordering-negative-numbers", "has_questions": false, "keywords": "negative, integer", "ka_url": "http://www.khanacademy.org/video/ordering-negative-numbers", "duration": 167, "translated_title": "Ordering negative numbers", "translated_description_html": "Ordering negative numbers from least to greatest", "id": "211177353", "description_html": "Ordering negative numbers from least to greatest", "title": "Ordering negative numbers", "progress_key": "v211177353", "edit_slug": "edit/v/211177353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Ordering negative numbers from least to greatest", "extra_properties": null, "node_slug": "v/ordering-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.mp4/VW6UrPKPInA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.mp4/VW6UrPKPInA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VW6UrPKPInA.m3u8/VW6UrPKPInA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VW6UrPKPInA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177353", "sha": "b96356acecf791d2f93f7d383c3c5259a64a0e87", "translated_description": "Ordering negative numbers from least to greatest", "image_url": "https://img.youtube.com/vi/VW6UrPKPInA/hqdefault.jpg", "youtube_id": "VW6UrPKPInA", "content_kind": "Video", "readable_id": "ordering-negative-numbers"}], "twitter_url": "", "translated_description": "What is a \"negative number\"? What happens when I add or subtract one of these?\n\nIf you come to this tutorial armed with the basics of adding and subtracting numbers, you'll learn about what happens in the world below zero! You will learn what negative numbers are and how we can add and subtract them.\n\n", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is a \"negative number\"? What happens when I add or subtract one of these?\n\nIf you come to this tutorial armed with the basics of adding and subtracting numbers, you'll learn about what happens in the world below zero! You will learn what negative numbers are and how we can add and subtract them.\n\n", "x_pos": 0.0, "node_slug": "add-sub-negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-01T16:18:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0152989f", "topic_page_url": "/math/arithmetic/absolute-value/add-sub-negatives", "extended_slug": "math/arithmetic/absolute-value/add-sub-negatives", "slug": "add-sub-negatives", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2835ea9da6dbe1d0d154a560ccfd1e2f1b5df10b", "standalone_title": "Negative number basics", "y_pos": 0.0, "current_revision_key": "2835ea9da6dbe1d0d154a560ccfd1e2f1b5df10b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/absolute-value/adding_subtracting_negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/absolute-value/adding_subtracting_negatives", "translated_standalone_title": "Adding and subtracting negative numbers", "translated_title": "Adding and subtracting negative numbers", "gplus_url": "", "id": "xe536c77e", "old_key_name": "rseDXt0L2Hg5Zk173n_srOVQVYNOIFiyzBFKrsZB", "hide": false, "title": "Adding and subtracting negative numbers", "child_data": [{"kind": "Exercise", "id": "xf9bcac7c"}, {"kind": "Video", "id": 153770154}, {"kind": "Video", "id": 13179312}, {"kind": "Exercise", "id": 325329347}, {"kind": "Video", "id": "xded1ea52"}, {"kind": "Video", "id": 1244788705}, {"kind": "Exercise", "id": 3010}, {"kind": "Video", "id": "xefd871cb"}, {"kind": "Exercise", "id": 261977487}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 466047489}, {"kind": "Video", "id": 25747}], "children": [{"translated_youtube_id": "AcpIO62x2oo", "relative_url": "/video/adding-negative-numbers", "has_questions": false, "keywords": "u9_l2_t1_we1, Adding, Negative, Numbers", "ka_url": "http://www.khanacademy.org/video/adding-negative-numbers", "duration": 341, "translated_title": "Example: Adding negative numbers", "translated_description_html": "Adding Negative Numbers", "id": "153770154", "description_html": "Adding Negative Numbers", "title": "Example: Adding negative numbers", "progress_key": "v153770154", "edit_slug": "edit/v/153770154", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding Negative Numbers", "extra_properties": null, "node_slug": "v/adding-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.m3u8/AcpIO62x2oo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AcpIO62x2oo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770154", "sha": "2253e8f51041bfc646e5edc6017a7e6f99b1895f", "translated_description": "Adding Negative Numbers", "image_url": "https://img.youtube.com/vi/AcpIO62x2oo/hqdefault.jpg", "youtube_id": "AcpIO62x2oo", "content_kind": "Video", "readable_id": "adding-negative-numbers"}, {"translated_youtube_id": "NrVvu7cM8_o", "relative_url": "/video/adding-integers-with-different-signs", "has_questions": false, "keywords": "U09_L2_T1_we2, Adding, integers, with, different, signs, CC_7_NS_1_b, CC_7_NS_1_c", "ka_url": "http://www.khanacademy.org/video/adding-integers-with-different-signs", "duration": 332, "translated_title": "Example: Adding integers with different signs", "translated_description_html": "Adding integers with different signs", "id": "13179312", "description_html": "Adding integers with different signs", "title": "Example: Adding integers with different signs", "progress_key": "v13179312", "edit_slug": "edit/v/13179312", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding integers with different signs", "extra_properties": null, "node_slug": "v/adding-integers-with-different-signs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.m3u8/NrVvu7cM8_o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NrVvu7cM8_o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179312", "sha": "8522241f70a4617a94f06056d6d7e0df6d4dbdc1", "translated_description": "Adding integers with different signs", "image_url": "https://img.youtube.com/vi/NrVvu7cM8_o/hqdefault.jpg", "youtube_id": "NrVvu7cM8_o", "content_kind": "Video", "readable_id": "adding-integers-with-different-signs"}, {"translated_youtube_id": "NQSN00zL5gg", "relative_url": "/video/adding-and-subtracting-negative-number-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-negative-number-examples", "duration": 247, "translated_title": "Adding and subtracting negative number examples", "translated_description_html": "", "id": "xded1ea52", "description_html": "", "title": "Adding and subtracting negative number examples", "progress_key": "vxded1ea52", "edit_slug": "edit/v/xded1ea52", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-and-subtracting-negative-number-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-05T18:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.mp4/NQSN00zL5gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.mp4/NQSN00zL5gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NQSN00zL5gg.m3u8/NQSN00zL5gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NQSN00zL5gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxded1ea52", "sha": "2175efb35e9f748973429e491286217eaff962f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/NQSN00zL5gg/hqdefault.jpg", "youtube_id": "NQSN00zL5gg", "content_kind": "Video", "readable_id": "adding-and-subtracting-negative-number-examples"}, {"translated_youtube_id": "lBscLuttQq0", "relative_url": "/video/why-subtracting-a-negative-equivalent-to-adding-a-positive", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-subtracting-a-negative-equivalent-to-adding-a-positive", "duration": 93, "translated_title": "Why subtracting a negative is equivalent to adding a positive", "translated_description_html": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "id": "1244788705", "description_html": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "title": "Why subtracting a negative is equivalent to adding a positive", "progress_key": "v1244788705", "edit_slug": "edit/v/1244788705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "extra_properties": null, "node_slug": "v/why-subtracting-a-negative-equivalent-to-adding-a-positive", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-21T23:05:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.mp4/lBscLuttQq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.mp4/lBscLuttQq0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBscLuttQq0.m3u8/lBscLuttQq0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lBscLuttQq0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1244788705", "sha": "2f94078b0e4c6817a0617b1e209241f13c54502c", "translated_description": "Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number", "image_url": "https://img.youtube.com/vi/lBscLuttQq0/hqdefault.jpg", "youtube_id": "lBscLuttQq0", "content_kind": "Video", "readable_id": "why-subtracting-a-negative-equivalent-to-adding-a-positive"}, {"translated_youtube_id": "Oo2vGhVkvDo", "relative_url": "/video/negative-number-word-problems-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-number-word-problems-1", "duration": 262, "translated_title": "Negative number word problems 1", "translated_description_html": "", "id": "xefd871cb", "description_html": "", "title": "Negative number word problems 1", "progress_key": "vxefd871cb", "edit_slug": "edit/v/xefd871cb", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-number-word-problems-1", "deleted": false, "backup_timestamp": "2013-09-20T10:49:43Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.mp4/Oo2vGhVkvDo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.mp4/Oo2vGhVkvDo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oo2vGhVkvDo.m3u8/Oo2vGhVkvDo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oo2vGhVkvDo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxefd871cb", "sha": "c76450e214e9cf6d0f9ab746b55154a99fda5a89", "translated_description": "", "image_url": "https://img.youtube.com/vi/Oo2vGhVkvDo/hqdefault.jpg", "youtube_id": "Oo2vGhVkvDo", "content_kind": "Video", "readable_id": "negative-number-word-problems-1"}, {"translated_youtube_id": "fFdOr8U4mnI", "relative_url": "/video/u09-l1-t2-we4-adding-real-numbers-application", "has_questions": false, "keywords": "u09, l1, t2, we4, Adding, Real, Numbers, Application", "ka_url": "http://www.khanacademy.org/video/u09-l1-t2-we4-adding-real-numbers-application", "duration": 195, "translated_title": "Adding decimals of different signs word problem", "translated_description_html": null, "id": "466047489", "description_html": null, "title": "Adding decimals of different signs word problem", "progress_key": "v466047489", "edit_slug": "edit/v/466047489", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/u09-l1-t2-we4-adding-real-numbers-application", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.m3u8/fFdOr8U4mnI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fFdOr8U4mnI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466047489", "sha": "55afa7edeb37a20c29dd23c45eef02a573d0a228", "translated_description": null, "image_url": "https://img.youtube.com/vi/fFdOr8U4mnI/hqdefault.jpg", "youtube_id": "fFdOr8U4mnI", "content_kind": "Video", "readable_id": "u09-l1-t2-we4-adding-real-numbers-application"}, {"translated_youtube_id": "C38B33ZywWs", "relative_url": "/video/adding-subtracting-negative-numbers", "has_questions": false, "keywords": "Math, negative, numbers, CC_7_NS_1_c", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-negative-numbers", "duration": 555, "translated_title": "Adding/subtracting negative numbers", "translated_description_html": "Adding and subtracting negative numbers", "id": "25747", "description_html": "Adding and subtracting negative numbers", "title": "Adding/subtracting negative numbers", "progress_key": "v25747", "edit_slug": "edit/v/25747", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and subtracting negative numbers", "extra_properties": null, "node_slug": "v/adding-subtracting-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:51:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C38B33ZywWs.mp4/C38B33ZywWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C38B33ZywWs.mp4/C38B33ZywWs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C38B33ZywWs.m3u8/C38B33ZywWs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C38B33ZywWs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25747", "sha": "4f4302407617ba3c4ff80095e3f66524f3903b4c", "translated_description": "Adding and subtracting negative numbers", "image_url": "https://img.youtube.com/vi/C38B33ZywWs/hqdefault.jpg", "youtube_id": "C38B33ZywWs", "content_kind": "Video", "readable_id": "adding-subtracting-negative-numbers"}], "twitter_url": "", "translated_description": "You understand that negative numbers represent how far we are \"below zero\". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You understand that negative numbers represent how far we are \"below zero\". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!", "x_pos": 0.0, "node_slug": "adding_subtracting_negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe536c77e", "topic_page_url": "/math/arithmetic/absolute-value/adding_subtracting_negatives", "extended_slug": "math/arithmetic/absolute-value/adding_subtracting_negatives", "slug": "adding_subtracting_negatives", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d56c73f3d7fba9390907ce902bbfa9acb40d6693", "standalone_title": "Adding and subtracting negative numbers", "y_pos": 0.0, "current_revision_key": "d56c73f3d7fba9390907ce902bbfa9acb40d6693", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/absolute-value/mult_div_negatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives", "translated_standalone_title": "Multiplying and dividing negative numbers", "translated_title": "Multiplying and dividing negative numbers", "gplus_url": "", "id": "xfccfe5f0", "old_key_name": "UC0SXKvOhN9u3l9fmGcZHQwndFuKt0b-mb8FOZQ6", "hide": false, "title": "Multiplying and dividing negative numbers", "child_data": [{"kind": "Video", "id": 862036603}, {"kind": "Video", "id": 867458280}, {"kind": "Video", "id": 1244872792}, {"kind": "Video", "id": 862107118}, {"kind": "Video", "id": 13179320}, {"kind": "Exercise", "id": 2015}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 25749}], "children": [{"translated_youtube_id": "47wjId9k2Hs", "relative_url": "/video/multiplying-positive-and-negative-numbers", "has_questions": false, "keywords": "negative, number, multiplication", "ka_url": "http://www.khanacademy.org/video/multiplying-positive-and-negative-numbers", "duration": 334, "translated_title": "Multiplying positive and negative numbers", "translated_description_html": "Basics of multiplication with negative numbers", "id": "862036603", "description_html": "Basics of multiplication with negative numbers", "title": "Multiplying positive and negative numbers", "progress_key": "v862036603", "edit_slug": "edit/v/862036603", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of multiplication with negative numbers", "extra_properties": null, "node_slug": "v/multiplying-positive-and-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2012-06-19T17:57:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.mp4/47wjId9k2Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.mp4/47wjId9k2Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/47wjId9k2Hs.m3u8/47wjId9k2Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=47wjId9k2Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v862036603", "sha": "75b07095133546bce3622ca222da0006ae8cdee2", "translated_description": "Basics of multiplication with negative numbers", "image_url": "https://img.youtube.com/vi/47wjId9k2Hs/hqdefault.jpg", "youtube_id": "47wjId9k2Hs", "content_kind": "Video", "readable_id": "multiplying-positive-and-negative-numbers"}, {"translated_youtube_id": "rK4sXm_MPWo", "relative_url": "/video/why-a-negative-times-a-negative-is-a-positive", "has_questions": false, "keywords": "math, negative, numbers, marquee", "ka_url": "http://www.khanacademy.org/video/why-a-negative-times-a-negative-is-a-positive", "duration": 347, "translated_title": "Why a negative times a negative is a positive", "translated_description_html": "Why negative number products are defined in the way they are.", "id": "867458280", "description_html": "Why negative number products are defined in the way they are.", "title": "Why a negative times a negative is a positive", "progress_key": "v867458280", "edit_slug": "edit/v/867458280", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why negative number products are defined in the way they are.", "extra_properties": null, "node_slug": "v/why-a-negative-times-a-negative-is-a-positive", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-06-22T16:16:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.mp4/rK4sXm_MPWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.mp4/rK4sXm_MPWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rK4sXm_MPWo.m3u8/rK4sXm_MPWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rK4sXm_MPWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v867458280", "sha": "6960d2420cc011db3711ab6da9acf1371353c48b", "translated_description": "Why negative number products are defined in the way they are.", "image_url": "https://img.youtube.com/vi/rK4sXm_MPWo/hqdefault.jpg", "youtube_id": "rK4sXm_MPWo", "content_kind": "Video", "readable_id": "why-a-negative-times-a-negative-is-a-positive"}, {"translated_youtube_id": "pzQY-9Nmtws", "relative_url": "/video/why-a-negative-times-a-negative-makes-intuitive-sense", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-a-negative-times-a-negative-makes-intuitive-sense", "duration": 374, "translated_title": "Why a negative times a negative makes intuitive sense", "translated_description_html": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "id": "1244872792", "description_html": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "title": "Why a negative times a negative makes intuitive sense", "progress_key": "v1244872792", "edit_slug": "edit/v/1244872792", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "extra_properties": null, "node_slug": "v/why-a-negative-times-a-negative-makes-intuitive-sense", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-22T00:10:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.mp4/pzQY-9Nmtws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.mp4/pzQY-9Nmtws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzQY-9Nmtws.m3u8/pzQY-9Nmtws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzQY-9Nmtws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1244872792", "sha": "bf2382e965d2b53ce165cc1ad8860bdebaca7329", "translated_description": "Using the repeated addition model of multiplication to think about multiplying negative numbers", "image_url": "https://img.youtube.com/vi/pzQY-9Nmtws/hqdefault.jpg", "youtube_id": "pzQY-9Nmtws", "content_kind": "Video", "readable_id": "why-a-negative-times-a-negative-makes-intuitive-sense"}, {"translated_youtube_id": "bQ-KR3clFgs", "relative_url": "/video/dividing-positive-and-negative-numbers", "has_questions": false, "keywords": "dividing, negative, numbers", "ka_url": "http://www.khanacademy.org/video/dividing-positive-and-negative-numbers", "duration": 292, "translated_title": "Dividing positive and negative numbers", "translated_description_html": "Basics of dividing with negative numbers", "id": "862107118", "description_html": "Basics of dividing with negative numbers", "title": "Dividing positive and negative numbers", "progress_key": "v862107118", "edit_slug": "edit/v/862107118", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of dividing with negative numbers", "extra_properties": null, "node_slug": "v/dividing-positive-and-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-06-19T17:57:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.m3u8/bQ-KR3clFgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bQ-KR3clFgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v862107118", "sha": "a29fa4456eea127cabc9784606ee9fdf07bb0bba", "translated_description": "Basics of dividing with negative numbers", "image_url": "https://img.youtube.com/vi/bQ-KR3clFgs/hqdefault.jpg", "youtube_id": "bQ-KR3clFgs", "content_kind": "Video", "readable_id": "dividing-positive-and-negative-numbers"}, {"translated_youtube_id": "4ve7OaCnDLs", "relative_url": "/video/multiplying-negative-real-numbers", "has_questions": false, "keywords": "U09_L2_T4_we1, Multiplying, negative, real, numbers, CC_4_NF_4, CC_5_NBT_7, CC_5_NF_4, CC_6_NS_3, CC_7_NS_2, CC_7_NS_2_a, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/multiplying-negative-real-numbers", "duration": 146, "translated_title": "Example: Multiplying numbers with different signs", "translated_description_html": "U09_L2_T4_we1 Multiplying negative real numbers", "id": "13179320", "description_html": "U09_L2_T4_we1 Multiplying negative real numbers", "title": "Example: Multiplying numbers with different signs", "progress_key": "v13179320", "edit_slug": "edit/v/13179320", "author_names": ["Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "U09_L2_T4_we1 Multiplying negative real numbers", "extra_properties": null, "node_slug": "v/multiplying-negative-real-numbers", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.mp4/4ve7OaCnDLs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.mp4/4ve7OaCnDLs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ve7OaCnDLs.m3u8/4ve7OaCnDLs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4ve7OaCnDLs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v13179320", "sha": "e0f26210d438771f6cea7f5d3e225b8ead8eea46", "translated_description": "U09_L2_T4_we1 Multiplying negative real numbers", "image_url": "https://img.youtube.com/vi/4ve7OaCnDLs/hqdefault.jpg", "youtube_id": "4ve7OaCnDLs", "content_kind": "Video", "readable_id": "multiplying-negative-real-numbers"}, {"translated_youtube_id": "d8lP5tR2R3Q", "relative_url": "/video/multiplying-and-dividing-negative-numbers", "has_questions": false, "keywords": "multiplication, division, negative, CC_7_NS_2_a, CC_7_NS_2_b", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-negative-numbers", "duration": 508, "translated_title": "Multiplying and dividing negative numbers", "translated_description_html": "Multiplying and dividing negative numbers", "id": "25749", "description_html": "Multiplying and dividing negative numbers", "title": "Multiplying and dividing negative numbers", "progress_key": "v25749", "edit_slug": "edit/v/25749", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and dividing negative numbers", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-negative-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:51:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.mp4/d8lP5tR2R3Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.mp4/d8lP5tR2R3Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.m3u8/d8lP5tR2R3Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d8lP5tR2R3Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v25749", "sha": "9c2c28eafde7f8f9e1ecaf9b689a112a7a7b6987", "translated_description": "Multiplying and dividing negative numbers", "image_url": "https://img.youtube.com/vi/d8lP5tR2R3Q/hqdefault.jpg", "youtube_id": "d8lP5tR2R3Q", "content_kind": "Video", "readable_id": "multiplying-and-dividing-negative-numbers"}], "twitter_url": "", "translated_description": "It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!", "x_pos": 0.0, "node_slug": "mult_div_negatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfccfe5f0", "topic_page_url": "/math/arithmetic/absolute-value/mult_div_negatives", "extended_slug": "math/arithmetic/absolute-value/mult_div_negatives", "slug": "mult_div_negatives", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ba037cd77bce84c5f8d4facc96db8056d599a2af", "standalone_title": "Multiplying and dividing negative numbers", "y_pos": 0.0, "current_revision_key": "ba037cd77bce84c5f8d4facc96db8056d599a2af", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/absolute-value/abs_value_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial", "translated_standalone_title": "Absolute value", "translated_title": "Absolute value", "gplus_url": "", "id": "x79ef7171", "old_key_name": "UROGWCEJP_1J4NUa5aDCvYOauIXQ7_xTAAWY1Ror", "hide": false, "title": "Absolute value", "child_data": [{"kind": "Video", "id": 2344592}, {"kind": "Video", "id": 26784}, {"kind": "Exercise", "id": 12293397}, {"kind": "Video", "id": 13179307}, {"kind": "Video", "id": 211177352}, {"kind": "Exercise", "id": 205349198}, {"kind": "Video", "id": "x7fd5c099"}, {"kind": "Exercise", "id": "xfa322e7b"}, {"kind": "Video", "id": "xa9ad03f9"}, {"kind": "Exercise", "id": "xda325f63"}], "children": [{"translated_youtube_id": "frBJEYvyd-8", "relative_url": "/video/absolute-value-and-number-lines", "has_questions": false, "keywords": "Absolute, Value, and, Number, Lines, CC_6_NS_7, CC_6_NS_7_a, CC_6_NS_7_b, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-and-number-lines", "duration": 339, "translated_title": "Absolute value and number lines", "translated_description_html": "Absolute Value and Number Lines", "id": "2344592", "description_html": "Absolute Value and Number Lines", "title": "Absolute value and number lines", "progress_key": "v2344592", "edit_slug": "edit/v/2344592", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Absolute Value and Number Lines", "extra_properties": null, "node_slug": "v/absolute-value-and-number-lines", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.m3u8/frBJEYvyd-8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=frBJEYvyd-8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2344592", "sha": "f34605ef4416860524fbdbcb058dc38b911f586c", "translated_description": "Absolute Value and Number Lines", "image_url": "https://img.youtube.com/vi/frBJEYvyd-8/hqdefault.jpg", "youtube_id": "frBJEYvyd-8", "content_kind": "Video", "readable_id": "absolute-value-and-number-lines"}, {"translated_youtube_id": "NvGTCzAfvr0", "relative_url": "/video/absolute-value-1", "has_questions": false, "keywords": "U02_L2_T1_we2, Absolute, Value, CC_6_NS_7, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-1", "duration": 202, "translated_title": "Absolute value 1", "translated_description_html": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "id": "26784", "description_html": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "title": "Absolute value 1", "progress_key": "v26784", "edit_slug": "edit/v/26784", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "extra_properties": null, "node_slug": "v/absolute-value-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.mp4/NvGTCzAfvr0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.mp4/NvGTCzAfvr0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NvGTCzAfvr0.m3u8/NvGTCzAfvr0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NvGTCzAfvr0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26784", "sha": "2c9312341c9dd4556339883508161c9baf0efc2e", "translated_description": "Content provided by The NROC Project - ©Monterey Institute for Technology and Education", "image_url": "https://img.youtube.com/vi/NvGTCzAfvr0/hqdefault.jpg", "youtube_id": "NvGTCzAfvr0", "content_kind": "Video", "readable_id": "absolute-value-1"}, {"translated_youtube_id": "r6hS_8nm1jM", "relative_url": "/video/absolute-value-of-integers", "has_questions": false, "keywords": "U09_L1_T2_we2, Absolute, Value, of, Integers, CC_6_NS_7, CC_6_NS_7_c", "ka_url": "http://www.khanacademy.org/video/absolute-value-of-integers", "duration": 142, "translated_title": "Absolute value of integers", "translated_description_html": "Absolute Value of Integers", "id": "13179307", "description_html": "Absolute Value of Integers", "title": "Absolute value of integers", "progress_key": "v13179307", "edit_slug": "edit/v/13179307", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute Value of Integers", "extra_properties": null, "node_slug": "v/absolute-value-of-integers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.mp4/r6hS_8nm1jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.mp4/r6hS_8nm1jM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r6hS_8nm1jM.m3u8/r6hS_8nm1jM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r6hS_8nm1jM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179307", "sha": "5d5ba7240e86e912478fb15036184b49de77ef06", "translated_description": "Absolute Value of Integers", "image_url": "https://img.youtube.com/vi/r6hS_8nm1jM/hqdefault.jpg", "youtube_id": "r6hS_8nm1jM", "content_kind": "Video", "readable_id": "absolute-value-of-integers"}, {"translated_youtube_id": "hKkBlcnU9pw", "relative_url": "/video/comparing-absolute-values", "has_questions": false, "keywords": "finance, education, absolute, values", "ka_url": "http://www.khanacademy.org/video/comparing-absolute-values", "duration": 247, "translated_title": "Comparing absolute values", "translated_description_html": "Evaluating and comparing absolute values", "id": "211177352", "description_html": "Evaluating and comparing absolute values", "title": "Comparing absolute values", "progress_key": "v211177352", "edit_slug": "edit/v/211177352", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Evaluating and comparing absolute values", "extra_properties": null, "node_slug": "v/comparing-absolute-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.m3u8/hKkBlcnU9pw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hKkBlcnU9pw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177352", "sha": "1462808ebf5d3cc899c05b221373e672ad6e094f", "translated_description": "Evaluating and comparing absolute values", "image_url": "https://img.youtube.com/vi/hKkBlcnU9pw/hqdefault.jpg", "youtube_id": "hKkBlcnU9pw", "content_kind": "Video", "readable_id": "comparing-absolute-values"}, {"translated_youtube_id": "Ig7RSc-93Bs", "relative_url": "/video/absolute-value-word-problems-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/absolute-value-word-problems-exercise", "duration": 232, "translated_title": "Absolute value word problems exercise", "translated_description_html": "", "id": "x7fd5c099", "description_html": "", "title": "Absolute value word problems exercise", "progress_key": "vx7fd5c099", "edit_slug": "edit/v/x7fd5c099", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/absolute-value-word-problems-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.mp4/Ig7RSc-93Bs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.mp4/Ig7RSc-93Bs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ig7RSc-93Bs.m3u8/Ig7RSc-93Bs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ig7RSc-93Bs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7fd5c099", "sha": "98be0c3f782353256c8c3fcfd435433fd14a1406", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ig7RSc-93Bs/hqdefault.jpg", "youtube_id": "Ig7RSc-93Bs", "content_kind": "Video", "readable_id": "absolute-value-word-problems-exercise"}, {"translated_youtube_id": "FogJFEEYuO0", "relative_url": "/video/constructing-and-interpreting-absolute-value", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-and-interpreting-absolute-value", "duration": 440, "translated_title": "Constructing and interpreting absolute value", "translated_description_html": "", "id": "xa9ad03f9", "description_html": "", "title": "Constructing and interpreting absolute value", "progress_key": "vxa9ad03f9", "edit_slug": "edit/v/xa9ad03f9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-and-interpreting-absolute-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-24T20:15:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.mp4/FogJFEEYuO0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.mp4/FogJFEEYuO0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FogJFEEYuO0.m3u8/FogJFEEYuO0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FogJFEEYuO0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa9ad03f9", "sha": "dca8219e29ce844b391adfa0247e8668a7e57877", "translated_description": "", "image_url": "https://img.youtube.com/vi/FogJFEEYuO0/hqdefault.jpg", "youtube_id": "FogJFEEYuO0", "content_kind": "Video", "readable_id": "constructing-and-interpreting-absolute-value"}], "twitter_url": "", "translated_description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero.\" If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. \n\nAs you'll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it's super important that you understand this core concept now.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero.\" If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. \n\nAs you'll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it's super important that you understand this core concept now.", "x_pos": 0.0, "node_slug": "abs_value_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-24T23:27:33Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax79ef7171", "topic_page_url": "/math/arithmetic/absolute-value/abs_value_tutorial", "extended_slug": "math/arithmetic/absolute-value/abs_value_tutorial", "slug": "abs_value_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a6a46d4d22e1dfb51fd5e7191d59534017bfc246", "standalone_title": "Absolute value", "y_pos": 0.0, "current_revision_key": "a6a46d4d22e1dfb51fd5e7191d59534017bfc246", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Extending our understanding of numbers below 0. Thinking about \"absolute\" distance from 0.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Extending our understanding of numbers below 0. Thinking about \"absolute\" distance from 0.", "x_pos": 0.0, "node_slug": "absolute-value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa359f5de", "topic_page_url": "/math/arithmetic/absolute-value", "extended_slug": "math/arithmetic/absolute-value", "slug": "absolute-value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7627a6b86834f4022a7f954620c93d14049f3284", "standalone_title": "Negative numbers and absolute value", "y_pos": 6.0, "current_revision_key": "7627a6b86834f4022a7f954620c93d14049f3284", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/decimals-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals", "translated_standalone_title": "Decimals", "translated_title": "Decimals", "gplus_url": "", "id": "x80dafc21", "old_key_name": "C0kfQ3mZSE_zBNfxY7EH4Kdwu_HaHM_oiR1BlAyW", "hide": false, "title": "Decimals", "child_data": [{"kind": "Topic", "id": "xa0ae022f"}, {"kind": "Topic", "id": "x69366c55"}, {"kind": "Topic", "id": "xd8cc5980"}, {"kind": "Topic", "id": "xd0073afa"}, {"kind": "Topic", "id": "x534e3a4f"}, {"kind": "Topic", "id": "x184f1a20"}, {"kind": "Topic", "id": "x558a7f24"}, {"kind": "Topic", "id": "xa9ba1bfc"}, {"kind": "Topic", "id": "xb7e443dc"}, {"kind": "Topic", "id": "xd5025310"}, {"kind": "Topic", "id": "x39a6e941"}, {"kind": "Topic", "id": "xe25d1806"}, {"kind": "Topic", "id": "x34877771"}, {"kind": "Topic", "id": "x0ef5ac3b"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/decimal_place_value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/decimal_place_value", "translated_standalone_title": "Conceptualizing decimals and place notation", "translated_title": "Conceptualizing decimals and place notation", "gplus_url": "", "id": "xa0ae022f", "old_key_name": "cDK9OZ7V_hfSDCQy1LxZL1HagTKLRFLchEUb6pL1", "hide": false, "title": "Conceptualizing decimals and place notation", "child_data": [{"kind": "Video", "id": 1804}, {"kind": "Video", "id": 1805}, {"kind": "Video", "id": "x40ad4b83"}, {"kind": "Video", "id": "xd4b6caae"}, {"kind": "Video", "id": "xc04367ad"}, {"kind": "Exercise", "id": "x7adb0385"}, {"kind": "Video", "id": "x8be920b7"}, {"kind": "Exercise", "id": "xf8942d6c"}, {"kind": "Video", "id": "x2b3fc392"}, {"kind": "Exercise", "id": 418343167}], "children": [{"translated_youtube_id": "x-Dqe5U1TXA", "relative_url": "/video/decimal-place-value", "has_questions": false, "keywords": "U03_L1_T1_we1, Decimal, Place, Value, CC_5_NBT_4", "ka_url": "http://www.khanacademy.org/video/decimal-place-value", "duration": 240, "translated_title": "Decimal place value", "translated_description_html": "Decimal Place Value", "id": "1804", "description_html": "Decimal Place Value", "title": "Decimal place value", "progress_key": "v1804", "edit_slug": "edit/v/1804", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Decimal Place Value", "extra_properties": null, "node_slug": "v/decimal-place-value", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x-Dqe5U1TXA.mp4/x-Dqe5U1TXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x-Dqe5U1TXA.mp4/x-Dqe5U1TXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x-Dqe5U1TXA.m3u8/x-Dqe5U1TXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x-Dqe5U1TXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1804", "sha": "1dcb22d87fe5246953add7a3e8f0e487fe16bc4f", "translated_description": "Decimal Place Value", "image_url": "https://img.youtube.com/vi/x-Dqe5U1TXA/hqdefault.jpg", "youtube_id": "x-Dqe5U1TXA", "content_kind": "Video", "readable_id": "decimal-place-value"}, {"translated_youtube_id": "AuD2TX-90Cc", "relative_url": "/video/decimal-place-value-2", "has_questions": false, "keywords": "U03_L1_T1_we2, Decimal, Place, Value, CC_5_NBT_3_a", "ka_url": "http://www.khanacademy.org/video/decimal-place-value-2", "duration": 211, "translated_title": "Writing out a decimal in words", "translated_description_html": "

Decimal Place Value 2<\/p>", "id": "1805", "description_html": "

Decimal Place Value 2<\/p>", "title": "Writing out a decimal in words", "progress_key": "v1805", "edit_slug": "edit/v/1805", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Decimal Place Value 2", "extra_properties": {}, "node_slug": "v/decimal-place-value-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.m3u8/AuD2TX-90Cc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AuD2TX-90Cc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1805", "sha": "5bedc8db364d6ca11f94afce15fd764ca7781e6f", "translated_description": "Decimal Place Value 2", "image_url": "https://img.youtube.com/vi/AuD2TX-90Cc/hqdefault.jpg", "youtube_id": "AuD2TX-90Cc", "content_kind": "Video", "readable_id": "decimal-place-value-2"}, {"translated_youtube_id": "G7QiIkYfeME", "relative_url": "/video/writing-out-a-decimal-in-words", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-out-a-decimal-in-words", "duration": 202, "translated_title": "Writing out a decimal in words 2", "translated_description_html": "", "id": "x40ad4b83", "description_html": "", "title": "Writing out a decimal in words 2", "progress_key": "vx40ad4b83", "edit_slug": "edit/v/x40ad4b83", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-out-a-decimal-in-words", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.mp4/G7QiIkYfeME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.mp4/G7QiIkYfeME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G7QiIkYfeME.m3u8/G7QiIkYfeME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G7QiIkYfeME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx40ad4b83", "sha": "6df88b7de3787fc0056a4215f894da6672d2cd3c", "translated_description": "", "image_url": "https://img.youtube.com/vi/G7QiIkYfeME/hqdefault.jpg", "youtube_id": "G7QiIkYfeME", "content_kind": "Video", "readable_id": "writing-out-a-decimal-in-words"}, {"translated_youtube_id": "he4kcTujy30", "relative_url": "/video/expanding-out-a-decimal-by-place-value", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/expanding-out-a-decimal-by-place-value", "duration": 173, "translated_title": "Expanding out a decimal by place value", "translated_description_html": "", "id": "xd4b6caae", "description_html": "", "title": "Expanding out a decimal by place value", "progress_key": "vxd4b6caae", "edit_slug": "edit/v/xd4b6caae", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/expanding-out-a-decimal-by-place-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.mp4/he4kcTujy30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.mp4/he4kcTujy30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/he4kcTujy30.m3u8/he4kcTujy30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=he4kcTujy30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd4b6caae", "sha": "712260b29e330726fc0189275b05cbcc7996c610", "translated_description": "", "image_url": "https://img.youtube.com/vi/he4kcTujy30/hqdefault.jpg", "youtube_id": "he4kcTujy30", "content_kind": "Video", "readable_id": "expanding-out-a-decimal-by-place-value"}, {"translated_youtube_id": "5DlzmolR8Cg", "relative_url": "/video/writing-a-decimal-to-represent-a-quantity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-a-decimal-to-represent-a-quantity", "duration": 162, "translated_title": "Writing a decimal to represent a quantity", "translated_description_html": "", "id": "xc04367ad", "description_html": "", "title": "Writing a decimal to represent a quantity", "progress_key": "vxc04367ad", "edit_slug": "edit/v/xc04367ad", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-a-decimal-to-represent-a-quantity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T22:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.mp4/5DlzmolR8Cg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.mp4/5DlzmolR8Cg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5DlzmolR8Cg.m3u8/5DlzmolR8Cg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5DlzmolR8Cg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc04367ad", "sha": "1d6aaef3c4e923089c1ff42ed361f0f5a0730db7", "translated_description": "", "image_url": "https://img.youtube.com/vi/5DlzmolR8Cg/hqdefault.jpg", "youtube_id": "5DlzmolR8Cg", "content_kind": "Video", "readable_id": "writing-a-decimal-to-represent-a-quantity"}, {"translated_youtube_id": "lR_kUUPL8YY", "relative_url": "/video/comparing-place-values-in-decimals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-place-values-in-decimals", "duration": 340, "translated_title": "Comparing place values in decimals", "translated_description_html": "", "id": "x8be920b7", "description_html": "", "title": "Comparing place values in decimals", "progress_key": "vx8be920b7", "edit_slug": "edit/v/x8be920b7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-place-values-in-decimals", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-22T00:29:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.mp4/lR_kUUPL8YY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.mp4/lR_kUUPL8YY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lR_kUUPL8YY.m3u8/lR_kUUPL8YY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lR_kUUPL8YY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8be920b7", "sha": "57f3f473592c2776ea7f7cfb383d42b59a2e3dc3", "translated_description": "", "image_url": "https://img.youtube.com/vi/lR_kUUPL8YY/hqdefault.jpg", "youtube_id": "lR_kUUPL8YY", "content_kind": "Video", "readable_id": "comparing-place-values-in-decimals"}, {"translated_youtube_id": "-oFlAhtear4", "relative_url": "/video/understanding-decimal-place-value-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-decimal-place-value-exercise", "duration": 67, "translated_title": "Using money to understand decimal place value", "translated_description_html": "", "id": "x2b3fc392", "description_html": "", "title": "Using money to understand decimal place value", "progress_key": "vx2b3fc392", "edit_slug": "edit/v/x2b3fc392", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/understanding-decimal-place-value-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-01T01:23:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.mp4/-oFlAhtear4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.mp4/-oFlAhtear4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oFlAhtear4.m3u8/-oFlAhtear4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oFlAhtear4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2b3fc392", "sha": "e2c44e08115770259d845c524a6aa8871c775e13", "translated_description": "", "image_url": "https://img.youtube.com/vi/-oFlAhtear4/hqdefault.jpg", "youtube_id": "-oFlAhtear4", "content_kind": "Video", "readable_id": "understanding-decimal-place-value-exercise"}], "twitter_url": "", "translated_description": "You've been using decimals all of your life. When you pay $0.75 at a vending machine, 0.75 is a decimal. When you see the ratings of gymnastics judges at the Olympics (\"9.5, 9.4, 7.5 (booooo)\"), those are decimals. This tutorial will help you understand this powerful tool all the better. Before you know it, you'll be representing numbers that are in-between whole numbers all the time!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've been using decimals all of your life. When you pay $0.75 at a vending machine, 0.75 is a decimal. When you see the ratings of gymnastics judges at the Olympics (\"9.5, 9.4, 7.5 (booooo)\"), those are decimals. This tutorial will help you understand this powerful tool all the better. Before you know it, you'll be representing numbers that are in-between whole numbers all the time!", "x_pos": 0.0, "node_slug": "decimal_place_value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-22T00:33:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa0ae022f", "topic_page_url": "/math/arithmetic/decimals/decimal_place_value", "extended_slug": "math/arithmetic/decimals/decimal_place_value", "slug": "decimal_place_value", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "df4dcb9c065485bd76af38e64013c8c6d759c021", "standalone_title": "Conceptualizing decimals and place notation", "y_pos": 0.0, "current_revision_key": "df4dcb9c065485bd76af38e64013c8c6d759c021", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/regrouping-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/regrouping-decimals", "translated_standalone_title": "Regrouping decimals", "translated_title": "Regrouping decimals", "gplus_url": "", "id": "x69366c55", "old_key_name": null, "hide": false, "title": "Regrouping decimals", "child_data": [{"kind": "Video", "id": "x5bceab99"}, {"kind": "Video", "id": "x4295aa9b"}, {"kind": "Video", "id": "x2448af74"}, {"kind": "Exercise", "id": "x1f3cdba0"}], "children": [{"translated_youtube_id": "3szFVS5p_7A", "relative_url": "/video/regrouping-with-decimals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-with-decimals", "duration": 255, "translated_title": "Regrouping with decimals", "translated_description_html": "", "id": "x5bceab99", "description_html": "", "title": "Regrouping with decimals", "progress_key": "vx5bceab99", "edit_slug": "edit/v/x5bceab99", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-with-decimals", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.mp4/3szFVS5p_7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.mp4/3szFVS5p_7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3szFVS5p_7A.m3u8/3szFVS5p_7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3szFVS5p_7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5bceab99", "sha": "d05c3946fff1fc5966420e93c5f262c0f346f20a", "translated_description": "", "image_url": "https://img.youtube.com/vi/3szFVS5p_7A/hqdefault.jpg", "youtube_id": "3szFVS5p_7A", "content_kind": "Video", "readable_id": "regrouping-with-decimals"}, {"translated_youtube_id": "fNzM0lQHZsk", "relative_url": "/video/regrouping-with-decimals-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-with-decimals-example", "duration": 243, "translated_title": "Regrouping with decimals example", "translated_description_html": "", "id": "x4295aa9b", "description_html": "", "title": "Regrouping with decimals example", "progress_key": "vx4295aa9b", "edit_slug": "edit/v/x4295aa9b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-with-decimals-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.mp4/fNzM0lQHZsk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.mp4/fNzM0lQHZsk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fNzM0lQHZsk.m3u8/fNzM0lQHZsk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fNzM0lQHZsk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4295aa9b", "sha": "df50cdf1ab1642855f64d8ce9a670468549fa58c", "translated_description": "", "image_url": "https://img.youtube.com/vi/fNzM0lQHZsk/hqdefault.jpg", "youtube_id": "fNzM0lQHZsk", "content_kind": "Video", "readable_id": "regrouping-with-decimals-example"}, {"translated_youtube_id": "dNnItWLuHH4", "relative_url": "/video/regrouping-decimals-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-decimals-example-2", "duration": 208, "translated_title": "Regrouping decimals example 2", "translated_description_html": "", "id": "x2448af74", "description_html": "", "title": "Regrouping decimals example 2", "progress_key": "vx2448af74", "edit_slug": "edit/v/x2448af74", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-decimals-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.mp4/dNnItWLuHH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.mp4/dNnItWLuHH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dNnItWLuHH4.m3u8/dNnItWLuHH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dNnItWLuHH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2448af74", "sha": "2edeb0bb40f864e902c1303eb9fe85ed253e0e6c", "translated_description": "", "image_url": "https://img.youtube.com/vi/dNnItWLuHH4/hqdefault.jpg", "youtube_id": "dNnItWLuHH4", "content_kind": "Video", "readable_id": "regrouping-decimals-example-2"}], "twitter_url": "", "translated_description": "Let's explore how we can regroup and redistribute value among the various place values in a decimal number.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's explore how we can regroup and redistribute value among the various place values in a decimal number.", "x_pos": 0.0, "node_slug": "regrouping-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T05:25:10Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax69366c55", "topic_page_url": "/math/arithmetic/decimals/regrouping-decimals", "extended_slug": "math/arithmetic/decimals/regrouping-decimals", "slug": "regrouping-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "27cb204a04a7648748c7d8a1fd2e297dc2170b81", "standalone_title": "Regrouping decimals", "y_pos": 0.0, "current_revision_key": "27cb204a04a7648748c7d8a1fd2e297dc2170b81", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/decimals-on-number-line", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/decimals-on-number-line", "translated_standalone_title": "Decimals on a number line", "translated_title": "Decimals on a number line", "gplus_url": "", "id": "xd8cc5980", "old_key_name": null, "hide": false, "title": "Decimals on a number line", "child_data": [{"kind": "Video", "id": 158925082}, {"kind": "Exercise", "id": 460969021}, {"kind": "Video", "id": 13179310}, {"kind": "Exercise", "id": 460994266}, {"kind": "Video", "id": "x72f595c1"}, {"kind": "Exercise", "id": "x3602988e"}], "children": [{"translated_youtube_id": "LpLnmuAyNWg", "relative_url": "/video/decimals-on-a-number-line", "has_questions": false, "keywords": "u03_l1_t2_we3, Decimals, on, Number, Line", "ka_url": "http://www.khanacademy.org/video/decimals-on-a-number-line", "duration": 99, "translated_title": "Decimals on a number line", "translated_description_html": "Decimals on a Number Line", "id": "158925082", "description_html": "Decimals on a Number Line", "title": "Decimals on a number line", "progress_key": "v158925082", "edit_slug": "edit/v/158925082", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Decimals on a Number Line", "extra_properties": null, "node_slug": "v/decimals-on-a-number-line", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.m3u8/LpLnmuAyNWg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LpLnmuAyNWg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925082", "sha": "e35177e50b6f354487978d67c3e96aa9ec56e13f", "translated_description": "Decimals on a Number Line", "image_url": "https://img.youtube.com/vi/LpLnmuAyNWg/hqdefault.jpg", "youtube_id": "LpLnmuAyNWg", "content_kind": "Video", "readable_id": "decimals-on-a-number-line"}, {"translated_youtube_id": "uC09taczvOo", "relative_url": "/video/points-on-a-number-line", "has_questions": false, "keywords": "U09_L1_T3_we2, Points, on, number, line, CC_2_MD_6, CC_3_NF_2, CC_3_NF_3_c, CC_4_NF_6, CC_6_NS_6, CC_6_NS_6_c, CC_6_NS_7_a", "ka_url": "http://www.khanacademy.org/video/points-on-a-number-line", "duration": 118, "translated_title": "Points on a number line", "translated_description_html": "Points on a number line", "id": "13179310", "description_html": "Points on a number line", "title": "Points on a number line", "progress_key": "v13179310", "edit_slug": "edit/v/13179310", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Points on a number line", "extra_properties": null, "node_slug": "v/points-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.m3u8/uC09taczvOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uC09taczvOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179310", "sha": "90e074a501c29a5bda8155c9b6a2db2c3c4dd6ba", "translated_description": "Points on a number line", "image_url": "https://img.youtube.com/vi/uC09taczvOo/hqdefault.jpg", "youtube_id": "uC09taczvOo", "content_kind": "Video", "readable_id": "points-on-a-number-line"}, {"translated_youtube_id": "w23DzA68KPE", "relative_url": "/video/positive-and-negative-decimals-on-a-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/positive-and-negative-decimals-on-a-number-line", "duration": 75, "translated_title": "Positive and negative decimals on a number line", "translated_description_html": "", "id": "x72f595c1", "description_html": "", "title": "Positive and negative decimals on a number line", "progress_key": "vx72f595c1", "edit_slug": "edit/v/x72f595c1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/positive-and-negative-decimals-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-12T18:37:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w23DzA68KPE.mp4/w23DzA68KPE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w23DzA68KPE.mp4/w23DzA68KPE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w23DzA68KPE.m3u8/w23DzA68KPE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w23DzA68KPE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx72f595c1", "sha": "6d18b1be12000a243e6813052cd0d64375457b20", "translated_description": "", "image_url": "https://img.youtube.com/vi/w23DzA68KPE/hqdefault.jpg", "youtube_id": "w23DzA68KPE", "content_kind": "Video", "readable_id": "positive-and-negative-decimals-on-a-number-line"}], "twitter_url": "", "translated_description": "Let's think about where decimals are on a number line. It will help us understand what decimals represent in general!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's think about where decimals are on a number line. It will help us understand what decimals represent in general!", "x_pos": 0.0, "node_slug": "decimals-on-number-line", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-22T00:33:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd8cc5980", "topic_page_url": "/math/arithmetic/decimals/decimals-on-number-line", "extended_slug": "math/arithmetic/decimals/decimals-on-number-line", "slug": "decimals-on-number-line", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8ba7fbe340f496ff7edf445e2670d9a7d848b650", "standalone_title": "Decimals on a number line", "y_pos": 0.0, "current_revision_key": "8ba7fbe340f496ff7edf445e2670d9a7d848b650", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/comparing-decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/comparing-decimals", "translated_standalone_title": "Comparing decimals", "translated_title": "Comparing decimals", "gplus_url": "", "id": "xd0073afa", "old_key_name": null, "hide": false, "title": "Comparing decimals", "child_data": [{"kind": "Video", "id": "xf518c030"}, {"kind": "Video", "id": 1807}, {"kind": "Exercise", "id": "x3c03a4f2"}, {"kind": "Video", "id": "x76e3cf20"}, {"kind": "Video", "id": 158925084}, {"kind": "Exercise", "id": "xddf6d40a"}], "children": [{"translated_youtube_id": "gAV9kwvoD6s", "relative_url": "/video/comparing-decimals-1-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-1-example", "duration": 290, "translated_title": "Comparing decimals example 1", "translated_description_html": "", "id": "xf518c030", "description_html": "", "title": "Comparing decimals example 1", "progress_key": "vxf518c030", "edit_slug": "edit/v/xf518c030", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-decimals-1-example", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-08-12T18:37:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.mp4/gAV9kwvoD6s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.mp4/gAV9kwvoD6s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gAV9kwvoD6s.m3u8/gAV9kwvoD6s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gAV9kwvoD6s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf518c030", "sha": "2dcf4f9a9ddbd30f97fcd895c9c0133254afb46c", "translated_description": "", "image_url": "https://img.youtube.com/vi/gAV9kwvoD6s/hqdefault.jpg", "youtube_id": "gAV9kwvoD6s", "content_kind": "Video", "readable_id": "comparing-decimals-1-example"}, {"translated_youtube_id": "HCC96awA-FM", "relative_url": "/video/comparing-decimals", "has_questions": false, "keywords": "U03_L1_T2_we1, Comparing, Decimals, CC_4_NF_7, CC_5_NBT_3, CC_5_NBT_3_b", "ka_url": "http://www.khanacademy.org/video/comparing-decimals", "duration": 89, "translated_title": "Comparing decimals example 2", "translated_description_html": "Comparing Decimals", "id": "1807", "description_html": "Comparing Decimals", "title": "Comparing decimals example 2", "progress_key": "v1807", "edit_slug": "edit/v/1807", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Decimals", "extra_properties": null, "node_slug": "v/comparing-decimals", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.m3u8/HCC96awA-FM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HCC96awA-FM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1807", "sha": "341a7d728e8eab270ceef9000841af8e6c46f316", "translated_description": "Comparing Decimals", "image_url": "https://img.youtube.com/vi/HCC96awA-FM/hqdefault.jpg", "youtube_id": "HCC96awA-FM", "content_kind": "Video", "readable_id": "comparing-decimals"}, {"translated_youtube_id": "f8B2dBQn3_U", "relative_url": "/video/comparing-decimals-2-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-2-example", "duration": 264, "translated_title": "Comparing decimals example 3", "translated_description_html": "", "id": "x76e3cf20", "description_html": "", "title": "Comparing decimals example 3", "progress_key": "vx76e3cf20", "edit_slug": "edit/v/x76e3cf20", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-decimals-2-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-12T18:37:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.mp4/f8B2dBQn3_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.mp4/f8B2dBQn3_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f8B2dBQn3_U.m3u8/f8B2dBQn3_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f8B2dBQn3_U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx76e3cf20", "sha": "eac6dcd0d1e9416023d4d3abc0c8caee853b9d4a", "translated_description": "", "image_url": "https://img.youtube.com/vi/f8B2dBQn3_U/hqdefault.jpg", "youtube_id": "f8B2dBQn3_U", "content_kind": "Video", "readable_id": "comparing-decimals-2-example"}, {"translated_youtube_id": "FwMYoK1QKso", "relative_url": "/video/comparing-decimals-4", "has_questions": false, "keywords": "u03_l1_t2_we4, Comparing, Decimals", "ka_url": "http://www.khanacademy.org/video/comparing-decimals-4", "duration": 128, "translated_title": "Comparing decimals example 4", "translated_description_html": "u03_l1_t2_we4 Comparing Decimals", "id": "158925084", "description_html": "u03_l1_t2_we4 Comparing Decimals", "title": "Comparing decimals example 4", "progress_key": "v158925084", "edit_slug": "edit/v/158925084", "author_names": [], "deleted_mod_time": "2013-07-19T17:19:40Z", "description": "u03_l1_t2_we4 Comparing Decimals", "extra_properties": null, "node_slug": "v/comparing-decimals-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.mp4/FwMYoK1QKso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.mp4/FwMYoK1QKso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FwMYoK1QKso.m3u8/FwMYoK1QKso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FwMYoK1QKso&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v158925084", "sha": "572dbafbeba0f953378dde5b368a536f02ae504b", "translated_description": "u03_l1_t2_we4 Comparing Decimals", "image_url": "https://img.youtube.com/vi/FwMYoK1QKso/hqdefault.jpg", "youtube_id": "FwMYoK1QKso", "content_kind": "Video", "readable_id": "comparing-decimals-4"}], "twitter_url": "", "translated_description": "Let's test our understanding of decimals by comparing them to one another!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's test our understanding of decimals by comparing them to one another!", "x_pos": 0.0, "node_slug": "comparing-decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-22T00:33:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd0073afa", "topic_page_url": "/math/arithmetic/decimals/comparing-decimals", "extended_slug": "math/arithmetic/decimals/comparing-decimals", "slug": "comparing-decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c1f0c03aac17fb653a700e15e42d7d93eb51c11d", "standalone_title": "Comparing decimals", "y_pos": 0.0, "current_revision_key": "c1f0c03aac17fb653a700e15e42d7d93eb51c11d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/adding_decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/adding_decimals", "translated_standalone_title": "Adding and subtracting decimals", "translated_title": "Adding and subtracting decimals", "gplus_url": "", "id": "x534e3a4f", "old_key_name": "LINZikcpLG5tAuo9qoJkkIC6AZaqCiNyCF-Id5D-", "hide": false, "title": "Adding and subtracting decimals", "child_data": [{"kind": "Video", "id": "xdd0d7ae2"}, {"kind": "Video", "id": "xbcb2a374"}, {"kind": "Video", "id": 4802227}, {"kind": "Exercise", "id": 461013412}, {"kind": "Exercise", "id": 2009}, {"kind": "Exercise", "id": 720725814}, {"kind": "Video", "id": 4802228}, {"kind": "Exercise", "id": 461015185}, {"kind": "Exercise", "id": 2031}, {"kind": "Video", "id": "x7b5b2142"}, {"kind": "Video", "id": 1811}, {"kind": "Exercise", "id": 415951528}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23822}], "children": [{"translated_youtube_id": "oLh_sIESQnY", "relative_url": "/video/adding-decimals-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-1", "duration": 160, "translated_title": "Adding decimals example 1", "translated_description_html": "", "id": "xdd0d7ae2", "description_html": "", "title": "Adding decimals example 1", "progress_key": "vxdd0d7ae2", "edit_slug": "edit/v/xdd0d7ae2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.mp4/oLh_sIESQnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oLh_sIESQnY.m3u8/oLh_sIESQnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oLh_sIESQnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdd0d7ae2", "sha": "a007af9d8ee1c1cb285de2cf9b8cbdeafc42f5cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/oLh_sIESQnY/hqdefault.jpg", "youtube_id": "oLh_sIESQnY", "content_kind": "Video", "readable_id": "adding-decimals-example-1"}, {"translated_youtube_id": "ErHFQUhZ94I", "relative_url": "/video/adding-decimals-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-example-2", "duration": 106, "translated_title": "Adding decimals example 2", "translated_description_html": "", "id": "xbcb2a374", "description_html": "", "title": "Adding decimals example 2", "progress_key": "vxbcb2a374", "edit_slug": "edit/v/xbcb2a374", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.mp4/ErHFQUhZ94I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ErHFQUhZ94I.m3u8/ErHFQUhZ94I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ErHFQUhZ94I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbcb2a374", "sha": "f283a11471afa08f1ad0e53bdfb82f1a01f7514c", "translated_description": "", "image_url": "https://img.youtube.com/vi/ErHFQUhZ94I/hqdefault.jpg", "youtube_id": "ErHFQUhZ94I", "content_kind": "Video", "readable_id": "adding-decimals-example-2"}, {"translated_youtube_id": "w616LEmrHVE", "relative_url": "/video/adding-decimals", "has_questions": false, "keywords": "U03_L2_T1_we1, Adding, Decimals", "ka_url": "http://www.khanacademy.org/video/adding-decimals", "duration": 165, "translated_title": "Adding decimals example 3", "translated_description_html": "Adding Decimals", "id": "4802227", "description_html": "Adding Decimals", "title": "Adding decimals example 3", "progress_key": "v4802227", "edit_slug": "edit/v/4802227", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Adding Decimals", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.m3u8/w616LEmrHVE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w616LEmrHVE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802227", "sha": "6b165ad8a825b168ab9a8185dd3168c6efaad9e6", "translated_description": "Adding Decimals", "image_url": "https://img.youtube.com/vi/w616LEmrHVE/hqdefault.jpg", "youtube_id": "w616LEmrHVE", "content_kind": "Video", "readable_id": "adding-decimals"}, {"translated_youtube_id": "Eq4mVCd-yyo", "relative_url": "/video/subtracting-decimals", "has_questions": false, "keywords": "U03_L2_T1_we2, Subtracting, Decimals", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals", "duration": 128, "translated_title": "Subtracting decimals", "translated_description_html": "Subtracting Decimals", "id": "4802228", "description_html": "Subtracting Decimals", "title": "Subtracting decimals", "progress_key": "v4802228", "edit_slug": "edit/v/4802228", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Subtracting Decimals", "extra_properties": null, "node_slug": "v/subtracting-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.mp4/Eq4mVCd-yyo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Eq4mVCd-yyo.m3u8/Eq4mVCd-yyo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Eq4mVCd-yyo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802228", "sha": "b4af13f046640b1231c96df2c05c32b574db6576", "translated_description": "Subtracting Decimals", "image_url": "https://img.youtube.com/vi/Eq4mVCd-yyo/hqdefault.jpg", "youtube_id": "Eq4mVCd-yyo", "content_kind": "Video", "readable_id": "subtracting-decimals"}, {"translated_youtube_id": "c4fUaD4g4mc", "relative_url": "/video/adding-decimals-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-decimals-word-problem", "duration": 93, "translated_title": "Adding decimals word problem", "translated_description_html": "", "id": "x7b5b2142", "description_html": "", "title": "Adding decimals word problem", "progress_key": "vx7b5b2142", "edit_slug": "edit/v/x7b5b2142", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-decimals-word-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.mp4/c4fUaD4g4mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.mp4/c4fUaD4g4mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c4fUaD4g4mc.m3u8/c4fUaD4g4mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c4fUaD4g4mc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b5b2142", "sha": "e0bcd493a543d0d33ff87ca3e436a726accaf926", "translated_description": "", "image_url": "https://img.youtube.com/vi/c4fUaD4g4mc/hqdefault.jpg", "youtube_id": "c4fUaD4g4mc", "content_kind": "Video", "readable_id": "adding-decimals-word-problem"}, {"translated_youtube_id": "hy_bDS3aHO4", "relative_url": "/video/subtracting-decimals-word-problem", "has_questions": false, "keywords": "U03_L2_T1_we3, Subtracting, Decimals, Word, Problem, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals-word-problem", "duration": 139, "translated_title": "Subtracting decimals word problem", "translated_description_html": "Subtracting Decimals Word Problem", "id": "1811", "description_html": "Subtracting Decimals Word Problem", "title": "Subtracting decimals word problem", "progress_key": "v1811", "edit_slug": "edit/v/1811", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Subtracting Decimals Word Problem", "extra_properties": null, "node_slug": "v/subtracting-decimals-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.mp4/hy_bDS3aHO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.mp4/hy_bDS3aHO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hy_bDS3aHO4.m3u8/hy_bDS3aHO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hy_bDS3aHO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1811", "sha": "5fac39d9da3c0e0a12029d394ad1f680e087a715", "translated_description": "Subtracting Decimals Word Problem", "image_url": "https://img.youtube.com/vi/hy_bDS3aHO4/hqdefault.jpg", "youtube_id": "hy_bDS3aHO4", "content_kind": "Video", "readable_id": "subtracting-decimals-word-problem"}, {"translated_youtube_id": "0mOH-qNGM7M", "relative_url": "/video/subtracting-decimals--old", "has_questions": false, "keywords": "subtraction, decimals, math, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/subtracting-decimals--old", "duration": 512, "translated_title": "Subtracting decimals (old)", "translated_description_html": "Subtracting decimal numbers", "id": "23822", "description_html": "Subtracting decimal numbers", "title": "Subtracting decimals (old)", "progress_key": "v23822", "edit_slug": "edit/v/23822", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Subtracting decimal numbers", "extra_properties": null, "node_slug": "v/subtracting-decimals--old", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0mOH-qNGM7M.mp4/0mOH-qNGM7M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0mOH-qNGM7M.mp4/0mOH-qNGM7M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0mOH-qNGM7M.m3u8/0mOH-qNGM7M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0mOH-qNGM7M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23822", "sha": "e11b0ecce6500edd9d1d6e68a43697be96b15fa9", "translated_description": "Subtracting decimal numbers", "image_url": "https://img.youtube.com/vi/0mOH-qNGM7M/hqdefault.jpg", "youtube_id": "0mOH-qNGM7M", "content_kind": "Video", "readable_id": "subtracting-decimals--old"}], "twitter_url": "", "translated_description": "You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!", "x_pos": 0.0, "node_slug": "adding_decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T18:57:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax534e3a4f", "topic_page_url": "/math/arithmetic/decimals/adding_decimals", "extended_slug": "math/arithmetic/decimals/adding_decimals", "slug": "adding_decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c4737018eba327afe21052ad89d85fcec85bc80d", "standalone_title": "Adding and subtracting decimals", "y_pos": 0.0, "current_revision_key": "c4737018eba327afe21052ad89d85fcec85bc80d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/multiplying_decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/multiplying_decimals", "translated_standalone_title": "Multiplying decimals", "translated_title": "Multiplying decimals", "gplus_url": "", "id": "x184f1a20", "old_key_name": "ZOq7zgt8h6BlaJ1UgbYLRdq7h0-2IB9eeMEAQwyu", "hide": false, "title": "Multiplying decimals", "child_data": [{"kind": "Video", "id": 1812}, {"kind": "Video", "id": 1817}, {"kind": "Video", "id": 23838}, {"kind": "Exercise", "id": 2010}], "children": [{"translated_youtube_id": "JEHejQphIYc", "relative_url": "/video/multiplying-decimals", "has_questions": false, "keywords": "U03_L2_T2_we1, Multiplying, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplying-decimals", "duration": 172, "translated_title": "Multiplying decimals", "translated_description_html": "Multiplying Decimals", "id": "1812", "description_html": "Multiplying Decimals", "title": "Multiplying decimals", "progress_key": "v1812", "edit_slug": "edit/v/1812", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals", "extra_properties": null, "node_slug": "v/multiplying-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.m3u8/JEHejQphIYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JEHejQphIYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1812", "sha": "1c25c3d826649e85b21ee1dab7e3cb64f7f6a1b7", "translated_description": "Multiplying Decimals", "image_url": "https://img.youtube.com/vi/JEHejQphIYc/hqdefault.jpg", "youtube_id": "JEHejQphIYc", "content_kind": "Video", "readable_id": "multiplying-decimals"}, {"translated_youtube_id": "W7dImsrVa0Y", "relative_url": "/video/mulitplyling-decimals-3", "has_questions": false, "keywords": "U03_L2_T2_we5, Mulitplyling, Decimals, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplyling-decimals-3", "duration": 152, "translated_title": "Multiplying decimals example 2", "translated_description_html": "Multiplying Decimals 3", "id": "1817", "description_html": "Multiplying Decimals 3", "title": "Multiplying decimals example 2", "progress_key": "v1817", "edit_slug": "edit/v/1817", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Decimals 3", "extra_properties": null, "node_slug": "v/mulitplyling-decimals-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.mp4/W7dImsrVa0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7dImsrVa0Y.m3u8/W7dImsrVa0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7dImsrVa0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1817", "sha": "aa22a966e604ace5beb9d1920ac11cb9eacf587e", "translated_description": "Multiplying Decimals 3", "image_url": "https://img.youtube.com/vi/W7dImsrVa0Y/hqdefault.jpg", "youtube_id": "W7dImsrVa0Y", "content_kind": "Video", "readable_id": "mulitplyling-decimals-3"}, {"translated_youtube_id": "m5z6pOsxF_8", "relative_url": "/video/mulitplication-8--multiplying-decimals--old-video", "has_questions": false, "keywords": "Multiplication, decimals, khan, academy, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/mulitplication-8--multiplying-decimals--old-video", "duration": 584, "translated_title": "Multiple examples multiplying decimals", "translated_description_html": "Multiplying decimals (www.khanacademy.org)", "id": "23838", "description_html": "Multiplying decimals (www.khanacademy.org)", "title": "Multiple examples multiplying decimals", "progress_key": "v23838", "edit_slug": "edit/v/23838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying decimals (www.khanacademy.org)", "extra_properties": null, "node_slug": "v/mulitplication-8--multiplying-decimals--old-video", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.m3u8/m5z6pOsxF_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5z6pOsxF_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23838", "sha": "72c7310312506ecdf81d650c246da38439006883", "translated_description": "Multiplying decimals (www.khanacademy.org)", "image_url": "https://img.youtube.com/vi/m5z6pOsxF_8/hqdefault.jpg", "youtube_id": "m5z6pOsxF_8", "content_kind": "Video", "readable_id": "mulitplication-8--multiplying-decimals--old-video"}], "twitter_url": "", "translated_description": "The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).", "x_pos": 0.0, "node_slug": "multiplying_decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T23:59:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax184f1a20", "topic_page_url": "/math/arithmetic/decimals/multiplying_decimals", "extended_slug": "math/arithmetic/decimals/multiplying_decimals", "slug": "multiplying_decimals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "eee66d3d73b83cba89b05d62be32f25f7e4953b5", "standalone_title": "Multiplying decimals", "y_pos": 0.0, "current_revision_key": "eee66d3d73b83cba89b05d62be32f25f7e4953b5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/dividing_decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/dividing_decimals", "translated_standalone_title": "Dividing decimals", "translated_title": "Dividing decimals", "gplus_url": "", "id": "x558a7f24", "old_key_name": "61KNYdx-nSTA7tEm8P0BkZRSNgEhhrAq8egde7cN", "hide": false, "title": "Dividing decimals", "child_data": [{"kind": "Video", "id": "xb4d79b88"}, {"kind": "Video", "id": "x0bd7d07d"}, {"kind": "Exercise", "id": 642900605}, {"kind": "Video", "id": "xbe7ce751"}, {"kind": "Exercise", "id": 292987819}, {"kind": "Video", "id": "x7b24a2d9"}, {"kind": "Exercise", "id": 293008404}, {"kind": "Video", "id": 1814}, {"kind": "Video", "id": 23856}, {"kind": "Exercise", "id": 3025}], "children": [{"translated_youtube_id": "xUDlKV8lJbM", "relative_url": "/video/dividing-completely-to-get-decimal-answer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-completely-to-get-decimal-answer", "duration": 157, "translated_title": "Dividing completely to get decimal answer", "translated_description_html": "", "id": "xb4d79b88", "description_html": "", "title": "Dividing completely to get decimal answer", "progress_key": "vxb4d79b88", "edit_slug": "edit/v/xb4d79b88", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-completely-to-get-decimal-answer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.mp4/xUDlKV8lJbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xUDlKV8lJbM.m3u8/xUDlKV8lJbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xUDlKV8lJbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb4d79b88", "sha": "2069477019d72ab58d183a485bc09b4477c04f0d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xUDlKV8lJbM/hqdefault.jpg", "youtube_id": "xUDlKV8lJbM", "content_kind": "Video", "readable_id": "dividing-completely-to-get-decimal-answer"}, {"translated_youtube_id": "7ZwSd9gtnwI", "relative_url": "/video/dividing-completely-to-get-decimal-answer-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-completely-to-get-decimal-answer-example-2", "duration": 143, "translated_title": "Dividing completely to get decimal answer example 2", "translated_description_html": "", "id": "x0bd7d07d", "description_html": "", "title": "Dividing completely to get decimal answer example 2", "progress_key": "vx0bd7d07d", "edit_slug": "edit/v/x0bd7d07d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-completely-to-get-decimal-answer-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.mp4/7ZwSd9gtnwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.mp4/7ZwSd9gtnwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7ZwSd9gtnwI.m3u8/7ZwSd9gtnwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7ZwSd9gtnwI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0bd7d07d", "sha": "c5c7a3f298474b3c6a3d5ac85bac06745017762b", "translated_description": "", "image_url": "https://img.youtube.com/vi/7ZwSd9gtnwI/hqdefault.jpg", "youtube_id": "7ZwSd9gtnwI", "content_kind": "Video", "readable_id": "dividing-completely-to-get-decimal-answer-example-2"}, {"translated_youtube_id": "Z_NHrwK6ALE", "relative_url": "/video/dividing-a-decimal-by-a-whole-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-decimal-by-a-whole-number", "duration": 126, "translated_title": "Dividing a decimal by a whole number", "translated_description_html": "", "id": "xbe7ce751", "description_html": "", "title": "Dividing a decimal by a whole number", "progress_key": "vxbe7ce751", "edit_slug": "edit/v/xbe7ce751", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-a-decimal-by-a-whole-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T00:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.mp4/Z_NHrwK6ALE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.mp4/Z_NHrwK6ALE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z_NHrwK6ALE.m3u8/Z_NHrwK6ALE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z_NHrwK6ALE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe7ce751", "sha": "be4cdea663b067fe5de7e8a271e102e78d918cdb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z_NHrwK6ALE/hqdefault.jpg", "youtube_id": "Z_NHrwK6ALE", "content_kind": "Video", "readable_id": "dividing-a-decimal-by-a-whole-number"}, {"translated_youtube_id": "cfr-yZxTH8Y", "relative_url": "/video/dividing-a-whole-number-by-a-decimal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-whole-number-by-a-decimal", "duration": 260, "translated_title": "Dividing a whole number by a decimal", "translated_description_html": "", "id": "x7b24a2d9", "description_html": "", "title": "Dividing a whole number by a decimal", "progress_key": "vx7b24a2d9", "edit_slug": "edit/v/x7b24a2d9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-a-whole-number-by-a-decimal", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-14T00:26:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.mp4/cfr-yZxTH8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.mp4/cfr-yZxTH8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cfr-yZxTH8Y.m3u8/cfr-yZxTH8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cfr-yZxTH8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b24a2d9", "sha": "db8691ebb5d4dd5c3434c6c9801aa18ac98283e0", "translated_description": "", "image_url": "https://img.youtube.com/vi/cfr-yZxTH8Y/hqdefault.jpg", "youtube_id": "cfr-yZxTH8Y", "content_kind": "Video", "readable_id": "dividing-a-whole-number-by-a-decimal"}, {"translated_youtube_id": "Nqts8zW8RxM", "relative_url": "/video/dividing-decimals", "has_questions": false, "keywords": "U03_L2_T2_we3, Dividing, Decimals, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimals", "duration": 332, "translated_title": "Dividing decimals", "translated_description_html": "Dividing Decimals", "id": "1814", "description_html": "Dividing Decimals", "title": "Dividing decimals", "progress_key": "v1814", "edit_slug": "edit/v/1814", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing Decimals", "extra_properties": null, "node_slug": "v/dividing-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.mp4/Nqts8zW8RxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nqts8zW8RxM.m3u8/Nqts8zW8RxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nqts8zW8RxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1814", "sha": "0b0b90e241ec7745361449dcecd423c144ad06bf", "translated_description": "Dividing Decimals", "image_url": "https://img.youtube.com/vi/Nqts8zW8RxM/hqdefault.jpg", "youtube_id": "Nqts8zW8RxM", "content_kind": "Video", "readable_id": "dividing-decimals"}, {"translated_youtube_id": "S0uuK7SQcA8", "relative_url": "/video/dividing-decimal", "has_questions": false, "keywords": "Division, decimals, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimal", "duration": 569, "translated_title": "Dividing decimal", "translated_description_html": "Dividing decimal numbers", "id": "23856", "description_html": "Dividing decimal numbers", "title": "Dividing decimal", "progress_key": "v23856", "edit_slug": "edit/v/23856", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing decimal numbers", "extra_properties": null, "node_slug": "v/dividing-decimal", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.m3u8/S0uuK7SQcA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S0uuK7SQcA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23856", "sha": "3ac7b39121ae8c8a08ecd285d5dacd641e8f4a69", "translated_description": "Dividing decimal numbers", "image_url": "https://img.youtube.com/vi/S0uuK7SQcA8/hqdefault.jpg", "youtube_id": "S0uuK7SQcA8", "content_kind": "Video", "readable_id": "dividing-decimal"}], "twitter_url": "", "translated_description": "You can add, subtract and multiply decimals. You know you'd feel a bit empty if you couldn't divide them as well. But something more powerful is going to happen. If you are like us, you never quite liked those pesky remainders when dividing whole numbers. Well, those pesky remainders better watch out because they are going to be divided too!!!! Ah ha ha ha ha!!!!!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can add, subtract and multiply decimals. You know you'd feel a bit empty if you couldn't divide them as well. But something more powerful is going to happen. If you are like us, you never quite liked those pesky remainders when dividing whole numbers. Well, those pesky remainders better watch out because they are going to be divided too!!!! Ah ha ha ha ha!!!!!", "x_pos": 0.0, "node_slug": "dividing_decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T00:29:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax558a7f24", "topic_page_url": "/math/arithmetic/decimals/dividing_decimals", "extended_slug": "math/arithmetic/decimals/dividing_decimals", "slug": "dividing_decimals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ef8e600d40717b6a90e318e7a2b7d3aab4af01fa", "standalone_title": "Dividing decimals", "y_pos": 0.0, "current_revision_key": "ef8e600d40717b6a90e318e7a2b7d3aab4af01fa", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/decimal_to_fraction", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction", "translated_standalone_title": "Converting between fractions and decimals", "translated_title": "Converting between fractions and decimals", "gplus_url": "", "id": "xa9ba1bfc", "old_key_name": "xSd8njIalTOIeHe-RFFN3J5GZnQBewpt7Ez7_m5S", "hide": false, "title": "Converting between fractions and decimals", "child_data": [{"kind": "Video", "id": 915084910}, {"kind": "Video", "id": 915095642}, {"kind": "Video", "id": 23852}, {"kind": "Video", "id": 158925085}, {"kind": "Exercise", "id": 245552066}, {"kind": "Video", "id": 1806}, {"kind": "Video", "id": 915208238}, {"kind": "Video", "id": 914994686}, {"kind": "Video", "id": 915122530}, {"kind": "Exercise", "id": 231802990}, {"kind": "Video", "id": 915110987}, {"kind": "Video", "id": 915169407}, {"kind": "Exercise", "id": 231856074}], "children": [{"translated_youtube_id": "NM8qTo361ic", "relative_url": "/video/converting-fractions-to-decimals--ex1", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex1", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex1", "duration": 195, "translated_title": "Converting fractions to decimals (ex1)", "translated_description_html": "Converting fractions to decimals (ex1)", "id": "915084910", "description_html": "Converting fractions to decimals (ex1)", "title": "Converting fractions to decimals (ex1)", "progress_key": "v915084910", "edit_slug": "edit/v/915084910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting fractions to decimals (ex1)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:21:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.m3u8/NM8qTo361ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NM8qTo361ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915084910", "sha": "3a771b98e23bea687d72258c517baeb16dc8cf91", "translated_description": "Converting fractions to decimals (ex1)", "image_url": "https://img.youtube.com/vi/NM8qTo361ic/hqdefault.jpg", "youtube_id": "NM8qTo361ic", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex1"}, {"translated_youtube_id": "sCVyvfOLI6U", "relative_url": "/video/converting-fractions-to-decimals--ex2", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex2", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex2", "duration": 93, "translated_title": "Converting fractions to decimals (ex2)", "translated_description_html": "Converting fractions to decimals (ex2)", "id": "915095642", "description_html": "Converting fractions to decimals (ex2)", "title": "Converting fractions to decimals (ex2)", "progress_key": "v915095642", "edit_slug": "edit/v/915095642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Converting fractions to decimals (ex2)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:22:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.m3u8/sCVyvfOLI6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sCVyvfOLI6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915095642", "sha": "bd20cf0f11f99fa9792a80b85c851e83b0e963ee", "translated_description": "Converting fractions to decimals (ex2)", "image_url": "https://img.youtube.com/vi/sCVyvfOLI6U/hqdefault.jpg", "youtube_id": "sCVyvfOLI6U", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex2"}, {"translated_youtube_id": "Gn2pdkvdbGQ", "relative_url": "/video/converting-fractions-to-decimals", "has_questions": false, "keywords": "fraction, decimal, math, khan, academy, CC_4_NF_6", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals", "duration": 563, "translated_title": "Converting fractions to decimals", "translated_description_html": "How to express a fraction as a decimal", "id": "23852", "description_html": "How to express a fraction as a decimal", "title": "Converting fractions to decimals", "progress_key": "v23852", "edit_slug": "edit/v/23852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to express a fraction as a decimal", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.m3u8/Gn2pdkvdbGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gn2pdkvdbGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23852", "sha": "70734ab96ff13c163d68f56da8dfa794385a0af1", "translated_description": "How to express a fraction as a decimal", "image_url": "https://img.youtube.com/vi/Gn2pdkvdbGQ/hqdefault.jpg", "youtube_id": "Gn2pdkvdbGQ", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals"}, {"translated_youtube_id": "Y1V5mZaMfTk", "relative_url": "/video/converting-fractions-to-decimals-example", "has_questions": false, "keywords": "u03_l1_t1_we4, Converting, Fractions, to, Decimals", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals-example", "duration": 137, "translated_title": "Converting fractions to decimals example", "translated_description_html": "Converting Fractions to Decimals", "id": "158925085", "description_html": "Converting Fractions to Decimals", "title": "Converting fractions to decimals example", "progress_key": "v158925085", "edit_slug": "edit/v/158925085", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Fractions to Decimals", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals-example", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.m3u8/Y1V5mZaMfTk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y1V5mZaMfTk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925085", "sha": "56fd5f9e7807ad35ad74962cc59cf85a881ed790", "translated_description": "Converting Fractions to Decimals", "image_url": "https://img.youtube.com/vi/Y1V5mZaMfTk/hqdefault.jpg", "youtube_id": "Y1V5mZaMfTk", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals-example"}, {"translated_youtube_id": "NzIoHQfStoM", "relative_url": "/video/decimals-and-fractions", "has_questions": false, "keywords": "U03_L1_T1_we3, Decimals, and, Fractions, CC_4_NF_6", "ka_url": "http://www.khanacademy.org/video/decimals-and-fractions", "duration": 162, "translated_title": "Decimals and fractions", "translated_description_html": "Decimals and Fractions", "id": "1806", "description_html": "Decimals and Fractions", "title": "Decimals and fractions", "progress_key": "v1806", "edit_slug": "edit/v/1806", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Decimals and Fractions", "extra_properties": null, "node_slug": "v/decimals-and-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.m3u8/NzIoHQfStoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NzIoHQfStoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1806", "sha": "936909f0c7ac771c5704b0605a3d533423aba644", "translated_description": "Decimals and Fractions", "image_url": "https://img.youtube.com/vi/NzIoHQfStoM/hqdefault.jpg", "youtube_id": "NzIoHQfStoM", "content_kind": "Video", "readable_id": "decimals-and-fractions"}, {"translated_youtube_id": "DR2DYe7PI74", "relative_url": "/video/converting-decimals-to-fractions-1--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-1", "duration": 116, "translated_title": "Converting decimals to fractions 1 (ex 1)", "translated_description_html": "", "id": "915208238", "description_html": "", "title": "Converting decimals to fractions 1 (ex 1)", "progress_key": "v915208238", "edit_slug": "edit/v/915208238", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-23T22:19:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.m3u8/DR2DYe7PI74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DR2DYe7PI74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915208238", "sha": "01e0b4594569abaff285574c3d225e256a2008c4", "translated_description": "", "image_url": "https://img.youtube.com/vi/DR2DYe7PI74/hqdefault.jpg", "youtube_id": "DR2DYe7PI74", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-1"}, {"translated_youtube_id": "9P80OLC6wKY", "relative_url": "/video/converting-decimals-to-fractions-1--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 2", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-2", "duration": 53, "translated_title": "Converting decimals to fractions 1 (ex 2)", "translated_description_html": "", "id": "914994686", "description_html": "", "title": "Converting decimals to fractions 1 (ex 2)", "progress_key": "v914994686", "edit_slug": "edit/v/914994686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-07-23T22:20:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.m3u8/9P80OLC6wKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9P80OLC6wKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v914994686", "sha": "10d5da6c1140937fb18862c823bb81452068f07c", "translated_description": "", "image_url": "https://img.youtube.com/vi/9P80OLC6wKY/hqdefault.jpg", "youtube_id": "9P80OLC6wKY", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-2"}, {"translated_youtube_id": "OS1g4PDdNdM", "relative_url": "/video/converting-decimals-to-fractions-1--ex-3", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 3", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-3", "duration": 74, "translated_title": "Converting decimals to fractions 1 (ex 3)", "translated_description_html": "", "id": "915122530", "description_html": "", "title": "Converting decimals to fractions 1 (ex 3)", "progress_key": "v915122530", "edit_slug": "edit/v/915122530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:20:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.m3u8/OS1g4PDdNdM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OS1g4PDdNdM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915122530", "sha": "fcb9cc779e080926e6fad1a0f895cd1f71920d65", "translated_description": "", "image_url": "https://img.youtube.com/vi/OS1g4PDdNdM/hqdefault.jpg", "youtube_id": "OS1g4PDdNdM", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-3"}, {"translated_youtube_id": "EGr3KC55sfU", "relative_url": "/video/converting-decimals-to-fractions-2--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 2, ex, 1", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-2--ex-1", "duration": 74, "translated_title": "Converting decimals to fractions 2 (ex 1)", "translated_description_html": "", "id": "915110987", "description_html": "", "title": "Converting decimals to fractions 2 (ex 1)", "progress_key": "v915110987", "edit_slug": "edit/v/915110987", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-2--ex-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:20:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.m3u8/EGr3KC55sfU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EGr3KC55sfU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915110987", "sha": "9e5c3aaf47f851293c4ca92938f08e352bbb1895", "translated_description": "", "image_url": "https://img.youtube.com/vi/EGr3KC55sfU/hqdefault.jpg", "youtube_id": "EGr3KC55sfU", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-2--ex-1"}, {"translated_youtube_id": "qbMe4f2yvKs", "relative_url": "/video/converting-decimals-to-fractions-2--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 2, ex", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-2--ex-2", "duration": 131, "translated_title": "Converting decimals to fractions 2 (ex 2)", "translated_description_html": "", "id": "915169407", "description_html": "", "title": "Converting decimals to fractions 2 (ex 2)", "progress_key": "v915169407", "edit_slug": "edit/v/915169407", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-2--ex-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:21:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.m3u8/qbMe4f2yvKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qbMe4f2yvKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915169407", "sha": "c58f753cbef5553b7d6416df22f4e72b1d609907", "translated_description": "", "image_url": "https://img.youtube.com/vi/qbMe4f2yvKs/hqdefault.jpg", "youtube_id": "qbMe4f2yvKs", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-2--ex-2"}], "twitter_url": "", "translated_description": "Both fractions and decimals are desperate to capture that little part of our heart that desires to express non-whole numbers. But must we commit? Can't we have business in the front and party in the back (younger people should look up the word \"mullet\" to see a hair-style worth considering for your next trip to the barber)? Can't it look like a pump, but feel like a sneaker? Well, if 18-wheelers can turn into self-righteous robots, then why can't decimals and fractions turn into each other?", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Both fractions and decimals are desperate to capture that little part of our heart that desires to express non-whole numbers. But must we commit? Can't we have business in the front and party in the back (younger people should look up the word \"mullet\" to see a hair-style worth considering for your next trip to the barber)? Can't it look like a pump, but feel like a sneaker? Well, if 18-wheelers can turn into self-righteous robots, then why can't decimals and fractions turn into each other?", "x_pos": 0.0, "node_slug": "decimal_to_fraction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T23:59:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa9ba1bfc", "topic_page_url": "/math/arithmetic/decimals/decimal_to_fraction", "extended_slug": "math/arithmetic/decimals/decimal_to_fraction", "slug": "decimal_to_fraction", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1e96938066528b0d30a1c11061d944977d357817", "standalone_title": "Converting between fractions and decimals", "y_pos": 0.0, "current_revision_key": "1e96938066528b0d30a1c11061d944977d357817", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/percent_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial", "translated_standalone_title": "Intro to percentages", "translated_title": "Intro to percentages", "gplus_url": "", "id": "xb7e443dc", "old_key_name": "N6V61_8kDtz-ueGZ6FXvx_z1e72tI3GvcYlujIId", "hide": false, "title": "Intro to percentages", "child_data": [{"kind": "Video", "id": 4802229}, {"kind": "Video", "id": 4802230}, {"kind": "Video", "id": 4802231}, {"kind": "Video", "id": 915124662}, {"kind": "Video", "id": 914998704}, {"kind": "Exercise", "id": 245512773}, {"kind": "Video", "id": "xf7f8fc80"}, {"kind": "Video", "id": "x8959c8e0"}, {"kind": "Exercise", "id": 245530302}, {"kind": "Video", "id": "x7d62667a"}, {"kind": "Video", "id": "x31086a98"}, {"kind": "Video", "id": "xc1057cd3"}, {"kind": "Exercise", "id": "xc4532d76"}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 153770143}, {"kind": "Video", "id": 4802232}, {"kind": "Video", "id": 547365605}], "children": [{"translated_youtube_id": "Lvr2YsxG10o", "relative_url": "/video/describing-the-meaning-of-percent", "has_questions": false, "keywords": "U05_L1_T1_we1, Describing, the, Meaning, of, Percent, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/describing-the-meaning-of-percent", "duration": 181, "translated_title": "Describing the meaning of percent", "translated_description_html": "Describing the Meaning of Percent", "id": "4802229", "description_html": "Describing the Meaning of Percent", "title": "Describing the meaning of percent", "progress_key": "v4802229", "edit_slug": "edit/v/4802229", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Describing the Meaning of Percent", "extra_properties": null, "node_slug": "v/describing-the-meaning-of-percent", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.mp4/Lvr2YsxG10o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.mp4/Lvr2YsxG10o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lvr2YsxG10o.m3u8/Lvr2YsxG10o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lvr2YsxG10o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802229", "sha": "91c1c2fbe97b9c42b77c3254b41d3f0bb2759836", "translated_description": "Describing the Meaning of Percent", "image_url": "https://img.youtube.com/vi/Lvr2YsxG10o/hqdefault.jpg", "youtube_id": "Lvr2YsxG10o", "content_kind": "Video", "readable_id": "describing-the-meaning-of-percent"}, {"translated_youtube_id": "MokI3Fi8jpc", "relative_url": "/video/describing-the-meaning-of-percent-2", "has_questions": false, "keywords": "U05_L1_T1_we2, Describing, the, Meaning, of, Percent, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/describing-the-meaning-of-percent-2", "duration": 142, "translated_title": "Describing the meaning of percent 2", "translated_description_html": "Describing the Meaning of Percent 2", "id": "4802230", "description_html": "Describing the Meaning of Percent 2", "title": "Describing the meaning of percent 2", "progress_key": "v4802230", "edit_slug": "edit/v/4802230", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Describing the Meaning of Percent 2", "extra_properties": null, "node_slug": "v/describing-the-meaning-of-percent-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.m3u8/MokI3Fi8jpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MokI3Fi8jpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802230", "sha": "c37923e6740f265173c66e3841077a73133fa72d", "translated_description": "Describing the Meaning of Percent 2", "image_url": "https://img.youtube.com/vi/MokI3Fi8jpc/hqdefault.jpg", "youtube_id": "MokI3Fi8jpc", "content_kind": "Video", "readable_id": "describing-the-meaning-of-percent-2"}, {"translated_youtube_id": "-gB1y-PMWfs", "relative_url": "/video/representing-a-number-as-a-decimal--percent--and-fraction", "has_questions": false, "keywords": "percent, and fraction", "ka_url": "http://www.khanacademy.org/video/representing-a-number-as-a-decimal--percent--and-fraction", "duration": 212, "translated_title": "Representing a number as a decimal, percent, and fraction", "translated_description_html": "Representing a number as a decimal, percent, and fraction", "id": "4802231", "description_html": "Representing a number as a decimal, percent, and fraction", "title": "Representing a number as a decimal, percent, and fraction", "progress_key": "v4802231", "edit_slug": "edit/v/4802231", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Representing a number as a decimal, percent, and fraction", "extra_properties": null, "node_slug": "v/representing-a-number-as-a-decimal--percent--and-fraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.m3u8/-gB1y-PMWfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-gB1y-PMWfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802231", "sha": "ce4da5afff9faa62fda8bf08afb566d65cc779b3", "translated_description": "Representing a number as a decimal, percent, and fraction", "image_url": "https://img.youtube.com/vi/-gB1y-PMWfs/hqdefault.jpg", "youtube_id": "-gB1y-PMWfs", "content_kind": "Video", "readable_id": "representing-a-number-as-a-decimal--percent--and-fraction"}, {"translated_youtube_id": "5z568fLBQyQ", "relative_url": "/video/converting-decimals-to-percents--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, percents, ex, 1", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-percents--ex-1", "duration": 156, "translated_title": "Converting decimals to percents (ex 1)", "translated_description_html": "Converting decimals to percents (ex 1)", "id": "915124662", "description_html": "Converting decimals to percents (ex 1)", "title": "Converting decimals to percents (ex 1)", "progress_key": "v915124662", "edit_slug": "edit/v/915124662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting decimals to percents (ex 1)", "extra_properties": null, "node_slug": "v/converting-decimals-to-percents--ex-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:21:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.mp4/5z568fLBQyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.mp4/5z568fLBQyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.m3u8/5z568fLBQyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5z568fLBQyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915124662", "sha": "1e89caa8d83160a394d52b6619fd19b52e73bb14", "translated_description": "Converting decimals to percents (ex 1)", "image_url": "https://img.youtube.com/vi/5z568fLBQyQ/hqdefault.jpg", "youtube_id": "5z568fLBQyQ", "content_kind": "Video", "readable_id": "converting-decimals-to-percents--ex-1"}, {"translated_youtube_id": "3_caioiRu5I", "relative_url": "/video/converting-decimals-to-percents--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, percents, ex, 2", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-percents--ex-2", "duration": 108, "translated_title": "Converting decimals to percents (ex 2)", "translated_description_html": "Converting decimals to percents (ex 2)", "id": "914998704", "description_html": "Converting decimals to percents (ex 2)", "title": "Converting decimals to percents (ex 2)", "progress_key": "v914998704", "edit_slug": "edit/v/914998704", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Converting decimals to percents (ex 2)", "extra_properties": null, "node_slug": "v/converting-decimals-to-percents--ex-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-07-23T22:21:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.m3u8/3_caioiRu5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_caioiRu5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v914998704", "sha": "0c020208740bda3ef982717739e2cbb18c1ae832", "translated_description": "Converting decimals to percents (ex 2)", "image_url": "https://img.youtube.com/vi/3_caioiRu5I/hqdefault.jpg", "youtube_id": "3_caioiRu5I", "content_kind": "Video", "readable_id": "converting-decimals-to-percents--ex-2"}, {"translated_youtube_id": "MkpbtCRwcCE", "relative_url": "/video/converting-percents-to-decimals--ex-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-percents-to-decimals--ex-1", "duration": 83, "translated_title": "Converting percents to decimals (ex 1)", "translated_description_html": "Converting percents to decimals (ex 1)", "id": "xf7f8fc80", "description_html": "Converting percents to decimals (ex 1)", "title": "Converting percents to decimals (ex 1)", "progress_key": "vxf7f8fc80", "edit_slug": "edit/v/xf7f8fc80", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "Converting percents to decimals (ex 1)", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-percents-to-decimals--ex-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.mp4/MkpbtCRwcCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.mp4/MkpbtCRwcCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MkpbtCRwcCE.m3u8/MkpbtCRwcCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MkpbtCRwcCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf7f8fc80", "sha": "db97b99c93798628be2732dcb53cf6a0c5864e77", "translated_description": "Converting percents to decimals (ex 1)", "image_url": "https://img.youtube.com/vi/MkpbtCRwcCE/hqdefault.jpg", "youtube_id": "MkpbtCRwcCE", "content_kind": "Video", "readable_id": "converting-percents-to-decimals--ex-1"}, {"translated_youtube_id": "T4JKO0OGjpQ", "relative_url": "/video/converting-percents-to-decimals--ex-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-percents-to-decimals--ex-2", "duration": 73, "translated_title": "Converting percents to decimals (ex 2)", "translated_description_html": "Converting percents to decimals (ex 2)", "id": "x8959c8e0", "description_html": "Converting percents to decimals (ex 2)", "title": "Converting percents to decimals (ex 2)", "progress_key": "vx8959c8e0", "edit_slug": "edit/v/x8959c8e0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "Converting percents to decimals (ex 2)", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-percents-to-decimals--ex-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.mp4/T4JKO0OGjpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.mp4/T4JKO0OGjpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T4JKO0OGjpQ.m3u8/T4JKO0OGjpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T4JKO0OGjpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8959c8e0", "sha": "c28a332ed1cff525d26cf1a0c3a879ed6975d34c", "translated_description": "Converting percents to decimals (ex 2)", "image_url": "https://img.youtube.com/vi/T4JKO0OGjpQ/hqdefault.jpg", "youtube_id": "T4JKO0OGjpQ", "content_kind": "Video", "readable_id": "converting-percents-to-decimals--ex-2"}, {"translated_youtube_id": "FaDtge_vkbg", "relative_url": "/video/finding-percentages-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-percentages-example", "duration": 213, "translated_title": "Finding percentages example", "translated_description_html": "", "id": "x7d62667a", "description_html": "", "title": "Finding percentages example", "progress_key": "vx7d62667a", "edit_slug": "edit/v/x7d62667a", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-percentages-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.mp4/FaDtge_vkbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.mp4/FaDtge_vkbg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FaDtge_vkbg.m3u8/FaDtge_vkbg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FaDtge_vkbg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7d62667a", "sha": "7e522edc2e85077d7b8ebd6b4405bc2709829fda", "translated_description": "", "image_url": "https://img.youtube.com/vi/FaDtge_vkbg/hqdefault.jpg", "youtube_id": "FaDtge_vkbg", "content_kind": "Video", "readable_id": "finding-percentages-example"}, {"translated_youtube_id": "AjYil74WrVo", "relative_url": "/video/percent-word-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/percent-word-problems", "duration": 169, "translated_title": "Percent word problems", "translated_description_html": "", "id": "x31086a98", "description_html": "", "title": "Percent word problems", "progress_key": "vx31086a98", "edit_slug": "edit/v/x31086a98", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/percent-word-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.m3u8/AjYil74WrVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AjYil74WrVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31086a98", "sha": "1637728186bb11bfaa9a7a52913ed8c1777d996c", "translated_description": "", "image_url": "https://img.youtube.com/vi/AjYil74WrVo/hqdefault.jpg", "youtube_id": "AjYil74WrVo", "content_kind": "Video", "readable_id": "percent-word-problems"}, {"translated_youtube_id": "-lUEWEEpmIo", "relative_url": "/video/taking-a-percentage-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/taking-a-percentage-example", "duration": 127, "translated_title": "Taking a percentage example", "translated_description_html": "", "id": "xc1057cd3", "description_html": "", "title": "Taking a percentage example", "progress_key": "vxc1057cd3", "edit_slug": "edit/v/xc1057cd3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/taking-a-percentage-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.mp4/-lUEWEEpmIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.mp4/-lUEWEEpmIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-lUEWEEpmIo.m3u8/-lUEWEEpmIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-lUEWEEpmIo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc1057cd3", "sha": "4ebe861e1bebf3b1667873cbdddd5153e4097736", "translated_description": "", "image_url": "https://img.youtube.com/vi/-lUEWEEpmIo/hqdefault.jpg", "youtube_id": "-lUEWEEpmIo", "content_kind": "Video", "readable_id": "taking-a-percentage-example"}, {"translated_youtube_id": "JaScdH47PYg", "relative_url": "/video/identifying-percent-amount-and-base", "has_questions": false, "keywords": "u5_l2_t1_we1, Identifying, Percent, Amount, and, Base, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/identifying-percent-amount-and-base", "duration": 152, "translated_title": "Identifying percent amount and base", "translated_description_html": "Identifying Percent Amount and Base", "id": "153770143", "description_html": "Identifying Percent Amount and Base", "title": "Identifying percent amount and base", "progress_key": "v153770143", "edit_slug": "edit/v/153770143", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Identifying Percent Amount and Base", "extra_properties": null, "node_slug": "v/identifying-percent-amount-and-base", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JaScdH47PYg.mp4/JaScdH47PYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JaScdH47PYg.mp4/JaScdH47PYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JaScdH47PYg.m3u8/JaScdH47PYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JaScdH47PYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770143", "sha": "3df7f2736f9e107bce167773275f582c2dbd0297", "translated_description": "Identifying Percent Amount and Base", "image_url": "https://img.youtube.com/vi/JaScdH47PYg/hqdefault.jpg", "youtube_id": "JaScdH47PYg", "content_kind": "Video", "readable_id": "identifying-percent-amount-and-base"}, {"translated_youtube_id": "Hkwfibux88s", "relative_url": "/video/representing-a-number-as-a-decimal--percent--and-fraction-2", "has_questions": false, "keywords": "percent, and fraction 2, CC_5_NF_3, CC_7_EE_3, CC_7_NS_2_d", "ka_url": "http://www.khanacademy.org/video/representing-a-number-as-a-decimal--percent--and-fraction-2", "duration": 325, "translated_title": "Representing a number as a decimal, percent, and fraction 2", "translated_description_html": "Representing a number as a decimal, percent, and fraction 2", "id": "4802232", "description_html": "Representing a number as a decimal, percent, and fraction 2", "title": "Representing a number as a decimal, percent, and fraction 2", "progress_key": "v4802232", "edit_slug": "edit/v/4802232", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Representing a number as a decimal, percent, and fraction 2", "extra_properties": null, "node_slug": "v/representing-a-number-as-a-decimal--percent--and-fraction-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.m3u8/Hkwfibux88s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hkwfibux88s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802232", "sha": "f5955c914fe081cf3552075592bb29f60e09962c", "translated_description": "Representing a number as a decimal, percent, and fraction 2", "image_url": "https://img.youtube.com/vi/Hkwfibux88s/hqdefault.jpg", "youtube_id": "Hkwfibux88s", "content_kind": "Video", "readable_id": "representing-a-number-as-a-decimal--percent--and-fraction-2"}, {"translated_youtube_id": "Llt-KkHugRQ", "relative_url": "/video/ordering-numeric-expressions_DUP_3", "has_questions": false, "keywords": "number, order, percentage, decimal, fraction", "ka_url": "http://www.khanacademy.org/video/ordering-numeric-expressions_DUP_3", "duration": 562, "translated_title": "Ordering numeric expressions", "translated_description_html": "Ordering numbers expressed as decimals, fractions, and percentages", "id": "547365605", "description_html": "Ordering numbers expressed as decimals, fractions, and percentages", "title": "Ordering numeric expressions", "progress_key": "v547365605", "edit_slug": "edit/v/547365605", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ordering numbers expressed as decimals, fractions, and percentages", "extra_properties": null, "node_slug": "v/ordering-numeric-expressions_DUP_3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-03T11:00:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.mp4/Llt-KkHugRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.mp4/Llt-KkHugRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.m3u8/Llt-KkHugRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Llt-KkHugRQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v547365605", "sha": "9794bea9d87a9e632bee2fb8fa58494cabc48988", "translated_description": "Ordering numbers expressed as decimals, fractions, and percentages", "image_url": "https://img.youtube.com/vi/Llt-KkHugRQ/hqdefault.jpg", "youtube_id": "Llt-KkHugRQ", "content_kind": "Video", "readable_id": "ordering-numeric-expressions_DUP_3"}], "twitter_url": "", "translated_description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise.\n\nAs you'll see \"percent\" literally means \"per cent\" or \"per hundred\". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise.\n\nAs you'll see \"percent\" literally means \"per cent\" or \"per hundred\". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.", "x_pos": 0.0, "node_slug": "percent_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:37:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb7e443dc", "topic_page_url": "/math/arithmetic/decimals/percent_tutorial", "extended_slug": "math/arithmetic/decimals/percent_tutorial", "slug": "percent_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "58e3d10fedb543c727314d58740b42b45f1f476e", "standalone_title": "Intro to percentages", "y_pos": 0.0, "current_revision_key": "58e3d10fedb543c727314d58740b42b45f1f476e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/percent_word_probs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/percent_word_probs", "translated_standalone_title": "Percent word problems", "translated_title": "Percent word problems", "gplus_url": "", "id": "xd5025310", "old_key_name": "qYebrI4rcYVWhr8tX45KQNM2EDGMeNZGXUobLyEU", "hide": false, "title": "Percent word problems", "child_data": [{"kind": "Video", "id": 23456}, {"kind": "Video", "id": 13}, {"kind": "Video", "id": 14}, {"kind": "Video", "id": 15}, {"kind": "Exercise", "id": 594289413}, {"kind": "Exercise", "id": 720778814}], "children": [{"translated_youtube_id": "X2jVap1YgwI", "relative_url": "/video/growing-by-a-percentage", "has_questions": false, "keywords": "Percentage, math, khan, CC_7_EE_2, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/growing-by-a-percentage", "duration": 582, "translated_title": "Growing by a percentage", "translated_description_html": "Growing a quantity by a percentage", "id": "23456", "description_html": "Growing a quantity by a percentage", "title": "Growing by a percentage", "progress_key": "v23456", "edit_slug": "edit/v/23456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Growing a quantity by a percentage", "extra_properties": null, "node_slug": "v/growing-by-a-percentage", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.m3u8/X2jVap1YgwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X2jVap1YgwI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23456", "sha": "2624ff4bc28e48563ec138ee240f697f6d009a88", "translated_description": "Growing a quantity by a percentage", "image_url": "https://img.youtube.com/vi/X2jVap1YgwI/hqdefault.jpg", "youtube_id": "X2jVap1YgwI", "content_kind": "Video", "readable_id": "growing-by-a-percentage"}, {"translated_youtube_id": "TvSKeTFsaj4", "relative_url": "/video/solving-percent-problems", "has_questions": false, "keywords": "U05_L2_T1_we1, Solving, Percent, Problems", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems", "duration": 377, "translated_title": "Solving percent problems", "translated_description_html": "U05_L2_T1_we1 Solving Percent Problems", "id": "13", "description_html": "U05_L2_T1_we1 Solving Percent Problems", "title": "Solving percent problems", "progress_key": "v13", "edit_slug": "edit/v/13", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U05_L2_T1_we1 Solving Percent Problems", "extra_properties": null, "node_slug": "v/solving-percent-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.m3u8/TvSKeTFsaj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TvSKeTFsaj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13", "sha": "f0e12f106ba1bf7cbe0b06f0b8049a712aa7fd09", "translated_description": "U05_L2_T1_we1 Solving Percent Problems", "image_url": "https://img.youtube.com/vi/TvSKeTFsaj4/hqdefault.jpg", "youtube_id": "TvSKeTFsaj4", "content_kind": "Video", "readable_id": "solving-percent-problems"}, {"translated_youtube_id": "N4kDzoQOngY", "relative_url": "/video/solving-percent-problems-2", "has_questions": false, "keywords": "U05_L2_T1_we2, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-2", "duration": 277, "translated_title": "Solving percent problems 2", "translated_description_html": "Solving Percent Problems 2", "id": "14", "description_html": "Solving Percent Problems 2", "title": "Solving percent problems 2", "progress_key": "v14", "edit_slug": "edit/v/14", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 2", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.m3u8/N4kDzoQOngY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4kDzoQOngY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v14", "sha": "8ec2738e8a7080b286dba920ef2f1f1a04a81c8c", "translated_description": "Solving Percent Problems 2", "image_url": "https://img.youtube.com/vi/N4kDzoQOngY/hqdefault.jpg", "youtube_id": "N4kDzoQOngY", "content_kind": "Video", "readable_id": "solving-percent-problems-2"}, {"translated_youtube_id": "DAikW24_O0A", "relative_url": "/video/solving-percent-problems-3", "has_questions": false, "keywords": "U05_L2_T1_we3, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-3", "duration": 326, "translated_title": "Solving percent problems 3", "translated_description_html": "Solving Percent Problems 3", "id": "15", "description_html": "Solving Percent Problems 3", "title": "Solving percent problems 3", "progress_key": "v15", "edit_slug": "edit/v/15", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 3", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.m3u8/DAikW24_O0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DAikW24_O0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v15", "sha": "fb61126838d38b7c46ee76c5693e366966510750", "translated_description": "Solving Percent Problems 3", "image_url": "https://img.youtube.com/vi/DAikW24_O0A/hqdefault.jpg", "youtube_id": "DAikW24_O0A", "content_kind": "Video", "readable_id": "solving-percent-problems-3"}], "twitter_url": "", "translated_description": "Whether you're calculating a tip at your favorite restaurant or figuring out how many decades you'll be paying your student debt because of the interest, percents will show up again and again and again in your life. This tutorial will expose you to some of these problems before they show up in your actual life so you can handle them with ease (kind of like a vaccine for the brain). Enjoy.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you're calculating a tip at your favorite restaurant or figuring out how many decades you'll be paying your student debt because of the interest, percents will show up again and again and again in your life. This tutorial will expose you to some of these problems before they show up in your actual life so you can handle them with ease (kind of like a vaccine for the brain). Enjoy.", "x_pos": 0.0, "node_slug": "percent_word_probs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd5025310", "topic_page_url": "/math/arithmetic/decimals/percent_word_probs", "extended_slug": "math/arithmetic/decimals/percent_word_probs", "slug": "percent_word_probs", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3b257d2c0f2bc4547cf3560139019118c11da354", "standalone_title": "Percent word problems", "y_pos": 0.0, "current_revision_key": "3b257d2c0f2bc4547cf3560139019118c11da354", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/decimal_rounding_estimation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/decimal_rounding_estimation", "translated_standalone_title": "Estimating and rounding with decimals", "translated_title": "Estimating and rounding with decimals", "gplus_url": "", "id": "x39a6e941", "old_key_name": "LVq56tJkvOHGUz6LYk-3ZuNQQhuoopleB-L_b2T6", "hide": false, "title": "Estimating and rounding with decimals", "child_data": [{"kind": "Video", "id": 1808}, {"kind": "Exercise", "id": 66754977}, {"kind": "Video", "id": 1818}, {"kind": "Exercise", "id": 213288729}], "children": [{"translated_youtube_id": "_MIn3zFkEcc", "relative_url": "/video/rounding-decimals", "has_questions": false, "keywords": "U03_L1_T2_we2, Rounding, Decimals, CC_5_NBT_4", "ka_url": "http://www.khanacademy.org/video/rounding-decimals", "duration": 86, "translated_title": "Rounding decimals", "translated_description_html": "Rounding Decimals", "id": "1808", "description_html": "Rounding Decimals", "title": "Rounding decimals", "progress_key": "v1808", "edit_slug": "edit/v/1808", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rounding Decimals", "extra_properties": null, "node_slug": "v/rounding-decimals", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.mp4/_MIn3zFkEcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.mp4/_MIn3zFkEcc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_MIn3zFkEcc.m3u8/_MIn3zFkEcc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_MIn3zFkEcc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1808", "sha": "12a9492ba2a81d3f6685821609d79093bc00f3b5", "translated_description": "Rounding Decimals", "image_url": "https://img.youtube.com/vi/_MIn3zFkEcc/hqdefault.jpg", "youtube_id": "_MIn3zFkEcc", "content_kind": "Video", "readable_id": "rounding-decimals"}, {"translated_youtube_id": "BkwI6Uu0vi4", "relative_url": "/video/estimation-with-decimals", "has_questions": false, "keywords": "U03_L2_T3_we1, Estimation, with, Decimals, CC_5_NBT_4", "ka_url": "http://www.khanacademy.org/video/estimation-with-decimals", "duration": 181, "translated_title": "Estimation with decimals", "translated_description_html": "Estimation with Decimals", "id": "1818", "description_html": "Estimation with Decimals", "title": "Estimation with decimals", "progress_key": "v1818", "edit_slug": "edit/v/1818", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Estimation with Decimals", "extra_properties": null, "node_slug": "v/estimation-with-decimals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.m3u8/BkwI6Uu0vi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BkwI6Uu0vi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1818", "sha": "94bb1cdcf8564090086c48dfba1284062e26a74c", "translated_description": "Estimation with Decimals", "image_url": "https://img.youtube.com/vi/BkwI6Uu0vi4/hqdefault.jpg", "youtube_id": "BkwI6Uu0vi4", "content_kind": "Video", "readable_id": "estimation-with-decimals"}], "twitter_url": "", "translated_description": "Laziness is usually considered a bad thing. But sometimes, it is useful to be lazy in a smart way. Why do a big, hairy calculation if you just need a rough estimate? Why keep track of 2.345609 when you only need 2.35? \n\nThis tutorial will get you comfortable with sometimes being a little rough with numbers. By being able to round and estimate them, it'll only add one more tool to your toolkit.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Laziness is usually considered a bad thing. But sometimes, it is useful to be lazy in a smart way. Why do a big, hairy calculation if you just need a rough estimate? Why keep track of 2.345609 when you only need 2.35? \n\nThis tutorial will get you comfortable with sometimes being a little rough with numbers. By being able to round and estimate them, it'll only add one more tool to your toolkit.", "x_pos": 0.0, "node_slug": "decimal_rounding_estimation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax39a6e941", "topic_page_url": "/math/arithmetic/decimals/decimal_rounding_estimation", "extended_slug": "math/arithmetic/decimals/decimal_rounding_estimation", "slug": "decimal_rounding_estimation", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a436ac3e3df7798842a6d53086593ae7dc5ed362", "standalone_title": "Estimating and rounding with decimals", "y_pos": 0.0, "current_revision_key": "a436ac3e3df7798842a6d53086593ae7dc5ed362", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/significant_figures_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/significant_figures_tutorial", "translated_standalone_title": "Significant figures", "translated_title": "Significant figures", "gplus_url": "", "id": "xe25d1806", "old_key_name": "QquYA5X_3DCdufPdTzmoUQ0kf5caAuJ-jkDeKXeS", "hide": false, "title": "Significant figures", "child_data": [{"kind": "Video", "id": 67068552}, {"kind": "Video", "id": 67068553}, {"kind": "Video", "id": 67861020}, {"kind": "Video", "id": 67068554}, {"kind": "Exercise", "id": 76621206}], "children": [{"translated_youtube_id": "eCJ76hz7jPM", "relative_url": "/video/significant-figures", "has_questions": false, "keywords": "significant, figures, digits", "ka_url": "http://www.khanacademy.org/video/significant-figures", "duration": 303, "translated_title": "Significant figures", "translated_description_html": "Introduction to significant figures", "id": "67068552", "description_html": "Introduction to significant figures", "title": "Significant figures", "progress_key": "v67068552", "edit_slug": "edit/v/67068552", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to significant figures", "extra_properties": null, "node_slug": "v/significant-figures", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-04-21T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eCJ76hz7jPM.mp4/eCJ76hz7jPM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eCJ76hz7jPM.mp4/eCJ76hz7jPM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eCJ76hz7jPM.m3u8/eCJ76hz7jPM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eCJ76hz7jPM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v67068552", "sha": "a16851ffe992e24092cccc6c6270d11c5f1a86ac", "translated_description": "Introduction to significant figures", "image_url": "https://img.youtube.com/vi/eCJ76hz7jPM/hqdefault.jpg", "youtube_id": "eCJ76hz7jPM", "content_kind": "Video", "readable_id": "significant-figures"}, {"translated_youtube_id": "eMl2z3ezlrQ", "relative_url": "/video/more-on-significant-figures", "has_questions": false, "keywords": "significant, figures", "ka_url": "http://www.khanacademy.org/video/more-on-significant-figures", "duration": 340, "translated_title": "More on significant figures", "translated_description_html": "Understanding the \"rules of thumb\" for significant figures", "id": "67068553", "description_html": "Understanding the \"rules of thumb\" for significant figures", "title": "More on significant figures", "progress_key": "v67068553", "edit_slug": "edit/v/67068553", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the \"rules of thumb\" for significant figures", "extra_properties": null, "node_slug": "v/more-on-significant-figures", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-21T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eMl2z3ezlrQ.mp4/eMl2z3ezlrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eMl2z3ezlrQ.mp4/eMl2z3ezlrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eMl2z3ezlrQ.m3u8/eMl2z3ezlrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eMl2z3ezlrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v67068553", "sha": "ec3c9cc35b024aece6d4176d657f04eef3b47711", "translated_description": "Understanding the \"rules of thumb\" for significant figures", "image_url": "https://img.youtube.com/vi/eMl2z3ezlrQ/hqdefault.jpg", "youtube_id": "eMl2z3ezlrQ", "content_kind": "Video", "readable_id": "more-on-significant-figures"}, {"translated_youtube_id": "xHgPtFUbAeU", "relative_url": "/video/addition-and-subtraction-with-significant-figures", "has_questions": false, "keywords": "Addition, and, Subtraction, with, Significant, Figures", "ka_url": "http://www.khanacademy.org/video/addition-and-subtraction-with-significant-figures", "duration": 539, "translated_title": "Addition and subtraction with significant figures", "translated_description_html": "Addition and Subtraction with Significant Figures", "id": "67861020", "description_html": "Addition and Subtraction with Significant Figures", "title": "Addition and subtraction with significant figures", "progress_key": "v67861020", "edit_slug": "edit/v/67861020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition and Subtraction with Significant Figures", "extra_properties": null, "node_slug": "v/addition-and-subtraction-with-significant-figures", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-04-22T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xHgPtFUbAeU.mp4/xHgPtFUbAeU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xHgPtFUbAeU.mp4/xHgPtFUbAeU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xHgPtFUbAeU.m3u8/xHgPtFUbAeU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xHgPtFUbAeU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v67861020", "sha": "56a06a547d3a5964071712760aeb46aafed4b043", "translated_description": "Addition and Subtraction with Significant Figures", "image_url": "https://img.youtube.com/vi/xHgPtFUbAeU/hqdefault.jpg", "youtube_id": "xHgPtFUbAeU", "content_kind": "Video", "readable_id": "addition-and-subtraction-with-significant-figures"}, {"translated_youtube_id": "iorZdz4dsBU", "relative_url": "/video/multiplying-and-dividing-with-significant-figures", "has_questions": false, "keywords": "significant, digits", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-with-significant-figures", "duration": 571, "translated_title": "Multiplying and dividing with significant figures", "translated_description_html": "Multiplying and dividing with significant figures", "id": "67068554", "description_html": "Multiplying and dividing with significant figures", "title": "Multiplying and dividing with significant figures", "progress_key": "v67068554", "edit_slug": "edit/v/67068554", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and dividing with significant figures", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-with-significant-figures", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-21T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iorZdz4dsBU.mp4/iorZdz4dsBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iorZdz4dsBU.mp4/iorZdz4dsBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iorZdz4dsBU.m3u8/iorZdz4dsBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iorZdz4dsBU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v67068554", "sha": "61e847800c58ab3f7ca56591ffc5418ae5d6f33e", "translated_description": "Multiplying and dividing with significant figures", "image_url": "https://img.youtube.com/vi/iorZdz4dsBU/hqdefault.jpg", "youtube_id": "iorZdz4dsBU", "content_kind": "Video", "readable_id": "multiplying-and-dividing-with-significant-figures"}], "twitter_url": "", "translated_description": "There is a strong temptation in life to appear precise, even when you are aren't accurate. If you precisely measure one dimension of a carpet to be 3.256 meters and eyeball the other dimensional to be \"roughly 2 meters\", can you really claim that the area is 6.512 square meters (3.256 x 2)? Isn't that a little misleading? \n\nThis tutorial gets us thinking about this conundrum and gives us the best practices that scientists and engineers use to not mislead each other.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "There is a strong temptation in life to appear precise, even when you are aren't accurate. If you precisely measure one dimension of a carpet to be 3.256 meters and eyeball the other dimensional to be \"roughly 2 meters\", can you really claim that the area is 6.512 square meters (3.256 x 2)? Isn't that a little misleading? \n\nThis tutorial gets us thinking about this conundrum and gives us the best practices that scientists and engineers use to not mislead each other.", "x_pos": 0.0, "node_slug": "significant_figures_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe25d1806", "topic_page_url": "/math/arithmetic/decimals/significant_figures_tutorial", "extended_slug": "math/arithmetic/decimals/significant_figures_tutorial", "slug": "significant_figures_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7b72171d1f1aa7eed9d78d3f235f47efcaa21cb9", "standalone_title": "Significant figures", "y_pos": 0.0, "current_revision_key": "7b72171d1f1aa7eed9d78d3f235f47efcaa21cb9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/multiplying-dividing-by-10-decim", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/multiplying-dividing-by-10-decim", "translated_standalone_title": "Moving the decimal to multiply and divide by 10", "translated_title": "Moving the decimal to multiply and divide by 10", "gplus_url": "", "id": "x34877771", "old_key_name": null, "hide": false, "title": "Moving the decimal to multiply and divide by 10", "child_data": [{"kind": "Video", "id": 153770145}, {"kind": "Video", "id": 153770148}, {"kind": "Video", "id": 1816}, {"kind": "Exercise", "id": 520461717}, {"kind": "Exercise", "id": "xa299dc79"}], "children": [{"translated_youtube_id": "mV0RxDZG05A", "relative_url": "/video/multiplying-a-decimal-by-a-power-of-10", "has_questions": false, "keywords": "u3_l2_t2_we2, Multiplying, Decimal, by, Power, of, 10, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/multiplying-a-decimal-by-a-power-of-10", "duration": 227, "translated_title": "Multiplying a decimal by a power of 10", "translated_description_html": "Multiplying a Decimal by a Power of 10", "id": "153770145", "description_html": "Multiplying a Decimal by a Power of 10", "title": "Multiplying a decimal by a power of 10", "progress_key": "v153770145", "edit_slug": "edit/v/153770145", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying a Decimal by a Power of 10", "extra_properties": null, "node_slug": "v/multiplying-a-decimal-by-a-power-of-10", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.m3u8/mV0RxDZG05A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mV0RxDZG05A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770145", "sha": "cb2a144b66a26a6539eee5bc3fd3b1e0a8764a18", "translated_description": "Multiplying a Decimal by a Power of 10", "image_url": "https://img.youtube.com/vi/mV0RxDZG05A/hqdefault.jpg", "youtube_id": "mV0RxDZG05A", "content_kind": "Video", "readable_id": "multiplying-a-decimal-by-a-power-of-10"}, {"translated_youtube_id": "W_VhVHRal6o", "relative_url": "/video/dividing-a-decimal-by-a-power-of-10", "has_questions": false, "keywords": "u3_l2_t2_we4, Dividing, Decimal, by, Power, of, 10, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-a-decimal-by-a-power-of-10", "duration": 198, "translated_title": "Dividing a decimal by a power of 10", "translated_description_html": "Dividing a Decimal by a Power of 10", "id": "153770148", "description_html": "Dividing a Decimal by a Power of 10", "title": "Dividing a decimal by a power of 10", "progress_key": "v153770148", "edit_slug": "edit/v/153770148", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing a Decimal by a Power of 10", "extra_properties": null, "node_slug": "v/dividing-a-decimal-by-a-power-of-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.mp4/W_VhVHRal6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.mp4/W_VhVHRal6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W_VhVHRal6o.m3u8/W_VhVHRal6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W_VhVHRal6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770148", "sha": "20a81b26c589860e6cd672d9b8dc324e995e92ad", "translated_description": "Dividing a Decimal by a Power of 10", "image_url": "https://img.youtube.com/vi/W_VhVHRal6o/hqdefault.jpg", "youtube_id": "W_VhVHRal6o", "content_kind": "Video", "readable_id": "dividing-a-decimal-by-a-power-of-10"}, {"translated_youtube_id": "HLGCq2h4ihY", "relative_url": "/video/dividing-decimals-2-1", "has_questions": false, "keywords": "U03_L2_T2_we4.1, Dividing, Decimals, 2.1, CC_5_NBT_7, CC_6_NS_3", "ka_url": "http://www.khanacademy.org/video/dividing-decimals-2-1", "duration": 111, "translated_title": "Dividing a decimal by a power of 10 (part 2)", "translated_description_html": "", "id": "1816", "description_html": "", "title": "Dividing a decimal by a power of 10 (part 2)", "progress_key": "v1816", "edit_slug": "edit/v/1816", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-decimals-2-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.m3u8/HLGCq2h4ihY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HLGCq2h4ihY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1816", "sha": "0f9631c434dda91531b95903d1890072694cef66", "translated_description": "", "image_url": "https://img.youtube.com/vi/HLGCq2h4ihY/hqdefault.jpg", "youtube_id": "HLGCq2h4ihY", "content_kind": "Video", "readable_id": "dividing-decimals-2-1"}], "twitter_url": "", "translated_description": "In our decimal number system, as we move places to the left, the place values increase by a factor of 10 (likewise, they decrease by a factor of 10 as we move rightward). This idea gets direct application when we multiply or divide a decimal number by 10 because it has the effect of shifting every place value one to the right or left (sometime seen as moving the decimal point).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In our decimal number system, as we move places to the left, the place values increase by a factor of 10 (likewise, they decrease by a factor of 10 as we move rightward). This idea gets direct application when we multiply or divide a decimal number by 10 because it has the effect of shifting every place value one to the right or left (sometime seen as moving the decimal point).", "x_pos": 0.0, "node_slug": "multiplying-dividing-by-10-decim", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T23:59:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax34877771", "topic_page_url": "/math/arithmetic/decimals/multiplying-dividing-by-10-decim", "extended_slug": "math/arithmetic/decimals/multiplying-dividing-by-10-decim", "slug": "multiplying-dividing-by-10-decim", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d18bdff5c12d0c746357bfeeebdf736bf84f5fb6", "standalone_title": "Moving the decimal to multiply and divide by 10", "y_pos": 0.0, "current_revision_key": "d18bdff5c12d0c746357bfeeebdf736bf84f5fb6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/decimals/decimals-percentages-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/decimals/decimals-percentages-fractions", "translated_standalone_title": "Adding and subtracting decimals percentages and fractions", "translated_title": "Adding and subtracting decimals percentages and fractions", "gplus_url": "", "id": "x0ef5ac3b", "old_key_name": null, "hide": false, "title": "Adding and subtracting decimals percentages and fractions", "child_data": [{"kind": "Video", "id": "x6f64c4e8"}, {"kind": "Video", "id": "x45f7c965"}, {"kind": "Video", "id": "xeff72154"}, {"kind": "Exercise", "id": "x3043480d"}], "children": [{"translated_youtube_id": "FSpSrZQzzVs", "relative_url": "/video/adding-and-subtracting-a-decimal-percentage-and-fraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-a-decimal-percentage-and-fraction", "duration": 269, "translated_title": "Adding and subtracting a decimal percentage and fraction", "translated_description_html": "", "id": "x6f64c4e8", "description_html": "", "title": "Adding and subtracting a decimal percentage and fraction", "progress_key": "vx6f64c4e8", "edit_slug": "edit/v/x6f64c4e8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-and-subtracting-a-decimal-percentage-and-fraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-26T23:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.mp4/FSpSrZQzzVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.mp4/FSpSrZQzzVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FSpSrZQzzVs.m3u8/FSpSrZQzzVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FSpSrZQzzVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f64c4e8", "sha": "e65945c709a02104b7eb3c24a7b647b386a70349", "translated_description": "", "image_url": "https://img.youtube.com/vi/FSpSrZQzzVs/hqdefault.jpg", "youtube_id": "FSpSrZQzzVs", "content_kind": "Video", "readable_id": "adding-and-subtracting-a-decimal-percentage-and-fraction"}, {"translated_youtube_id": "xEDnwEOOf7Y", "relative_url": "/video/adding-fractions-decimals-and-percentages", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-decimals-and-percentages", "duration": 274, "translated_title": "Adding fractions decimals and percentages", "translated_description_html": "", "id": "x45f7c965", "description_html": "", "title": "Adding fractions decimals and percentages", "progress_key": "vx45f7c965", "edit_slug": "edit/v/x45f7c965", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-decimals-and-percentages", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-26T23:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.mp4/xEDnwEOOf7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.mp4/xEDnwEOOf7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xEDnwEOOf7Y.m3u8/xEDnwEOOf7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xEDnwEOOf7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx45f7c965", "sha": "ad1ba17425f92b58553f05a62bbabaced4b68fa6", "translated_description": "", "image_url": "https://img.youtube.com/vi/xEDnwEOOf7Y/hqdefault.jpg", "youtube_id": "xEDnwEOOf7Y", "content_kind": "Video", "readable_id": "adding-fractions-decimals-and-percentages"}, {"translated_youtube_id": "9tmtDBpqq9s", "relative_url": "/video/adding-and-subtracting-three-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-three-fractions", "duration": 156, "translated_title": "Adding and subtracting three fractions", "translated_description_html": "", "id": "xeff72154", "description_html": "", "title": "Adding and subtracting three fractions", "progress_key": "vxeff72154", "edit_slug": "edit/v/xeff72154", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-and-subtracting-three-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-26T23:02:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.mp4/9tmtDBpqq9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.mp4/9tmtDBpqq9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9tmtDBpqq9s.m3u8/9tmtDBpqq9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9tmtDBpqq9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeff72154", "sha": "4e1ca285a3adc42118f39010d399f7645e966035", "translated_description": "", "image_url": "https://img.youtube.com/vi/9tmtDBpqq9s/hqdefault.jpg", "youtube_id": "9tmtDBpqq9s", "content_kind": "Video", "readable_id": "adding-and-subtracting-three-fractions"}], "twitter_url": "", "translated_description": "If you think you know how to convert between decimals, fractions and percentages and are familiar with negative numbers, this tutorial is a good place to test all of those skills at the same time.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you think you know how to convert between decimals, fractions and percentages and are familiar with negative numbers, this tutorial is a good place to test all of those skills at the same time.", "x_pos": 0.0, "node_slug": "decimals-percentages-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-26T23:04:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ef5ac3b", "topic_page_url": "/math/arithmetic/decimals/decimals-percentages-fractions", "extended_slug": "math/arithmetic/decimals/decimals-percentages-fractions", "slug": "decimals-percentages-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "54d5406500a228f75aac1352d180eae8f20e02fc", "standalone_title": "Adding and subtracting decimals percentages and fractions", "y_pos": 0.0, "current_revision_key": "54d5406500a228f75aac1352d180eae8f20e02fc", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.", "x_pos": 4.0, "node_slug": "decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-26T23:04:39Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax80dafc21", "topic_page_url": "/math/arithmetic/decimals", "extended_slug": "math/arithmetic/decimals", "slug": "decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "57c5a52f02d20b301b41465ff8acf8aa35cda37f", "standalone_title": "Decimals", "y_pos": 11.0, "current_revision_key": "57c5a52f02d20b301b41465ff8acf8aa35cda37f", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/fractions-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions", "translated_standalone_title": "Fractions", "translated_title": "Fractions", "gplus_url": "", "id": "xd47ef507", "old_key_name": "6yXN4Yvo--fg2MGyd3mzG3MLP9ktdWa1iftIU9Ed", "hide": false, "title": "Fractions", "child_data": [{"kind": "Topic", "id": "x64bfc54d"}, {"kind": "Topic", "id": "x7c44414c"}, {"kind": "Topic", "id": "xf2cea82f"}, {"kind": "Topic", "id": "xc886c672"}, {"kind": "Topic", "id": "x75cc090d"}, {"kind": "Topic", "id": "x8ff43f34"}, {"kind": "Topic", "id": "xc2ab8f63"}, {"kind": "Topic", "id": "x80cabf93"}, {"kind": "Topic", "id": "xc069aa9e"}, {"kind": "Topic", "id": "x5f29860a"}, {"kind": "Topic", "id": "x4949c90c"}, {"kind": "Topic", "id": "xcc797d81"}, {"kind": "Topic", "id": "x0696bfbf"}, {"kind": "Topic", "id": "x2c91e230"}, {"kind": "Topic", "id": "x6bbdf00e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/understanding_fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/understanding_fractions", "translated_standalone_title": "Understanding fractions", "translated_title": "Understanding fractions", "gplus_url": "", "id": "x64bfc54d", "old_key_name": "uhQBC_og4OnO__rE23zVsbjGOrrPi7WqplRVWahP", "hide": false, "title": "Understanding fractions", "child_data": [{"kind": "Video", "id": "x4b75a153"}, {"kind": "Video", "id": 2600698}, {"kind": "Video", "id": "x0b18ce2b"}, {"kind": "Exercise", "id": 363750329}, {"kind": "Video", "id": 2600697}, {"kind": "Exercise", "id": 196013736}, {"kind": "Video", "id": "xdba484ba"}, {"kind": "Exercise", "id": 461002061}, {"kind": "Video", "id": "x9b1143b5"}, {"kind": "Exercise", "id": 196083980}], "children": [{"translated_youtube_id": "Q_CljEweGOE", "relative_url": "/video/introduction-to-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-fractions", "duration": 341, "translated_title": "Introduction to fractions", "translated_description_html": "", "id": "x4b75a153", "description_html": "", "title": "Introduction to fractions", "progress_key": "vx4b75a153", "edit_slug": "edit/v/x4b75a153", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-01T01:23:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q_CljEweGOE.mp4/Q_CljEweGOE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q_CljEweGOE.mp4/Q_CljEweGOE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q_CljEweGOE.m3u8/Q_CljEweGOE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q_CljEweGOE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4b75a153", "sha": "277c98cb14d1ec88d43175e4fcdbdcec16356689", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q_CljEweGOE/hqdefault.jpg", "youtube_id": "Q_CljEweGOE", "content_kind": "Video", "readable_id": "introduction-to-fractions"}, {"translated_youtube_id": "-a_w0_VAo6U", "relative_url": "/video/identifying-fraction-parts", "has_questions": "live", "keywords": "U02_l1_T1_we2, Identifying, Fraction, Parts", "ka_url": "http://www.khanacademy.org/video/identifying-fraction-parts", "duration": 167, "translated_title": "Identifying fraction parts", "translated_description_html": "Identifying Fraction Parts", "id": "2600698", "description_html": "Identifying Fraction Parts", "title": "Identifying fraction parts", "progress_key": "v2600698", "edit_slug": "edit/v/2600698", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identifying Fraction Parts", "extra_properties": null, "node_slug": "v/identifying-fraction-parts", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-a_w0_VAo6U.mp4/-a_w0_VAo6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-a_w0_VAo6U.mp4/-a_w0_VAo6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-a_w0_VAo6U.m3u8/-a_w0_VAo6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-a_w0_VAo6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600698", "sha": "77e9953fe9965d2b29cda8052597e62a6e4f6b71", "translated_description": "Identifying Fraction Parts", "image_url": "https://img.youtube.com/vi/-a_w0_VAo6U/hqdefault.jpg", "youtube_id": "-a_w0_VAo6U", "content_kind": "Video", "readable_id": "identifying-fraction-parts"}, {"translated_youtube_id": "NRJFZaSw1Y0", "relative_url": "/video/recognizing-fractions-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-fractions-exercise", "duration": 117, "translated_title": "Recognizing fractions exercise", "translated_description_html": "", "id": "x0b18ce2b", "description_html": "", "title": "Recognizing fractions exercise", "progress_key": "vx0b18ce2b", "edit_slug": "edit/v/x0b18ce2b", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/recognizing-fractions-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-01T01:23:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NRJFZaSw1Y0.mp4/NRJFZaSw1Y0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NRJFZaSw1Y0.mp4/NRJFZaSw1Y0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NRJFZaSw1Y0.m3u8/NRJFZaSw1Y0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NRJFZaSw1Y0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0b18ce2b", "sha": "ac62f5a001a5da7f19b02c62b720e0db1cfa2d35", "translated_description": "", "image_url": "https://img.youtube.com/vi/NRJFZaSw1Y0/hqdefault.jpg", "youtube_id": "NRJFZaSw1Y0", "content_kind": "Video", "readable_id": "recognizing-fractions-exercise"}, {"translated_youtube_id": "3XOt1fjWKi8", "relative_url": "/video/numerator-and-denominator-of-a-fraction", "has_questions": "live", "keywords": "U02_l1_T1_we1, Numerator, and, Denominator, of, Fraction, CC_3_G_2, CC_3_NF_1", "ka_url": "http://www.khanacademy.org/video/numerator-and-denominator-of-a-fraction", "duration": 151, "translated_title": "Numerator and denominator of a fraction", "translated_description_html": "Numerator and Denominator of a Fraction", "id": "2600697", "description_html": "Numerator and Denominator of a Fraction", "title": "Numerator and denominator of a fraction", "progress_key": "v2600697", "edit_slug": "edit/v/2600697", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Numerator and Denominator of a Fraction", "extra_properties": null, "node_slug": "v/numerator-and-denominator-of-a-fraction", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3XOt1fjWKi8.mp4/3XOt1fjWKi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3XOt1fjWKi8.mp4/3XOt1fjWKi8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3XOt1fjWKi8.m3u8/3XOt1fjWKi8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3XOt1fjWKi8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600697", "sha": "9fdbf07c254d2adb0e60028c1cf400d4dbd96004", "translated_description": "Numerator and Denominator of a Fraction", "image_url": "https://img.youtube.com/vi/3XOt1fjWKi8/hqdefault.jpg", "youtube_id": "3XOt1fjWKi8", "content_kind": "Video", "readable_id": "numerator-and-denominator-of-a-fraction"}, {"translated_youtube_id": "fVsxYtXOIXg", "relative_url": "/video/plotting-basic-fractions-on-the-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/plotting-basic-fractions-on-the-number-line", "duration": 233, "translated_title": "Plotting basic fractions on the number line", "translated_description_html": "", "id": "xdba484ba", "description_html": "", "title": "Plotting basic fractions on the number line", "progress_key": "vxdba484ba", "edit_slug": "edit/v/xdba484ba", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/plotting-basic-fractions-on-the-number-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-02T18:08:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fVsxYtXOIXg.mp4/fVsxYtXOIXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fVsxYtXOIXg.mp4/fVsxYtXOIXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fVsxYtXOIXg.m3u8/fVsxYtXOIXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fVsxYtXOIXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdba484ba", "sha": "bcc76e4ae686dd0684e131bba6490fa23edde31a", "translated_description": "", "image_url": "https://img.youtube.com/vi/fVsxYtXOIXg/hqdefault.jpg", "youtube_id": "fVsxYtXOIXg", "content_kind": "Video", "readable_id": "plotting-basic-fractions-on-the-number-line"}, {"translated_youtube_id": "u2hLYcmI5y4", "relative_url": "/video/fraction-word-problems-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fraction-word-problems-1-exercise", "duration": 319, "translated_title": "Fraction word problems 1 exercise", "translated_description_html": "", "id": "x9b1143b5", "description_html": "", "title": "Fraction word problems 1 exercise", "progress_key": "vx9b1143b5", "edit_slug": "edit/v/x9b1143b5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fraction-word-problems-1-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T18:08:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.mp4/u2hLYcmI5y4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.mp4/u2hLYcmI5y4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u2hLYcmI5y4.m3u8/u2hLYcmI5y4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u2hLYcmI5y4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9b1143b5", "sha": "ea3521c6b8e436bd7bd4e918d796227b5b6de4d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/u2hLYcmI5y4/hqdefault.jpg", "youtube_id": "u2hLYcmI5y4", "content_kind": "Video", "readable_id": "fraction-word-problems-1-exercise"}], "twitter_url": "", "translated_description": "If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter.\n\nGood thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter.\n\nGood thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).", "x_pos": 0.0, "node_slug": "understanding_fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-02T18:10:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax64bfc54d", "topic_page_url": "/math/arithmetic/fractions/understanding_fractions", "extended_slug": "math/arithmetic/fractions/understanding_fractions", "slug": "understanding_fractions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a9193e6c6579424277a638fd9e4e4b24448a0190", "standalone_title": "Understanding fractions", "y_pos": 0.0, "current_revision_key": "a9193e6c6579424277a638fd9e4e4b24448a0190", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/visualizing-equivalent-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/visualizing-equivalent-fractions", "translated_standalone_title": "Visualizing equivalent fractions", "translated_title": "Visualizing equivalent fractions", "gplus_url": "", "id": "x7c44414c", "old_key_name": null, "hide": false, "title": "Visualizing equivalent fractions", "child_data": [{"kind": "Video", "id": "x885328b8"}, {"kind": "Video", "id": "xbb1f3e19"}, {"kind": "Video", "id": "x0cf6f29a"}, {"kind": "Video", "id": "x0042edbf"}, {"kind": "Exercise", "id": "x7da0867d"}, {"kind": "Video", "id": "x50b65664"}, {"kind": "Exercise", "id": 280682094}], "children": [{"translated_youtube_id": "Bt60JVZRVCI", "relative_url": "/video/visualizing-equivalent-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visualizing-equivalent-fractions", "duration": 225, "translated_title": "Visualizing equivalent fractions", "translated_description_html": "", "id": "x885328b8", "description_html": "", "title": "Visualizing equivalent fractions", "progress_key": "vx885328b8", "edit_slug": "edit/v/x885328b8", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/visualizing-equivalent-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.mp4/Bt60JVZRVCI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.mp4/Bt60JVZRVCI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bt60JVZRVCI.m3u8/Bt60JVZRVCI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bt60JVZRVCI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx885328b8", "sha": "0d2fc71134459858862dae53beb37f940c539585", "translated_description": "", "image_url": "https://img.youtube.com/vi/Bt60JVZRVCI/hqdefault.jpg", "youtube_id": "Bt60JVZRVCI", "content_kind": "Video", "readable_id": "visualizing-equivalent-fractions"}, {"translated_youtube_id": "dCQbfaQZtaY", "relative_url": "/video/equivalent-fraction-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example", "duration": 241, "translated_title": "Equivalent fraction word problem example", "translated_description_html": "", "id": "xbb1f3e19", "description_html": "", "title": "Equivalent fraction word problem example", "progress_key": "vxbb1f3e19", "edit_slug": "edit/v/xbb1f3e19", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.mp4/dCQbfaQZtaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.mp4/dCQbfaQZtaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dCQbfaQZtaY.m3u8/dCQbfaQZtaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dCQbfaQZtaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb1f3e19", "sha": "6f808323325a5d1ce0aaf5a51d840316e245098d", "translated_description": "", "image_url": "https://img.youtube.com/vi/dCQbfaQZtaY/hqdefault.jpg", "youtube_id": "dCQbfaQZtaY", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example"}, {"translated_youtube_id": "i-sAB-Z2_bE", "relative_url": "/video/equivalent-fraction-word-problem-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example-2", "duration": 121, "translated_title": "Equivalent fraction word problem example 2", "translated_description_html": "", "id": "x0cf6f29a", "description_html": "", "title": "Equivalent fraction word problem example 2", "progress_key": "vx0cf6f29a", "edit_slug": "edit/v/x0cf6f29a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T17:56:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.mp4/i-sAB-Z2_bE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.mp4/i-sAB-Z2_bE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i-sAB-Z2_bE.m3u8/i-sAB-Z2_bE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i-sAB-Z2_bE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0cf6f29a", "sha": "cec1073f5c75097a7d5ac64f60bbd9491fef205f", "translated_description": "", "image_url": "https://img.youtube.com/vi/i-sAB-Z2_bE/hqdefault.jpg", "youtube_id": "i-sAB-Z2_bE", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example-2"}, {"translated_youtube_id": "2nZsIeaiJUo", "relative_url": "/video/equivalent-fraction-word-problem-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-fraction-word-problem-example-3", "duration": 255, "translated_title": "Equivalent fraction word problem example 3", "translated_description_html": "", "id": "x0042edbf", "description_html": "", "title": "Equivalent fraction word problem example 3", "progress_key": "vx0042edbf", "edit_slug": "edit/v/x0042edbf", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-fraction-word-problem-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T17:56:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.mp4/2nZsIeaiJUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.mp4/2nZsIeaiJUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2nZsIeaiJUo.m3u8/2nZsIeaiJUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2nZsIeaiJUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0042edbf", "sha": "5b3dae8fca176498620596cfdcda68418231804c", "translated_description": "", "image_url": "https://img.youtube.com/vi/2nZsIeaiJUo/hqdefault.jpg", "youtube_id": "2nZsIeaiJUo", "content_kind": "Video", "readable_id": "equivalent-fraction-word-problem-example-3"}, {"translated_youtube_id": "xeLeYS7GRvY", "relative_url": "/video/fractions-cut-and-copy-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-cut-and-copy-1-exercise", "duration": 207, "translated_title": "Fractions cut and copy 1 exercise", "translated_description_html": "", "id": "x50b65664", "description_html": "", "title": "Fractions cut and copy 1 exercise", "progress_key": "vx50b65664", "edit_slug": "edit/v/x50b65664", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fractions-cut-and-copy-1-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T16:25:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.mp4/xeLeYS7GRvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.mp4/xeLeYS7GRvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xeLeYS7GRvY.m3u8/xeLeYS7GRvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xeLeYS7GRvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx50b65664", "sha": "0793df657eac3735c9b8697b68eaa48be8992985", "translated_description": "", "image_url": "https://img.youtube.com/vi/xeLeYS7GRvY/hqdefault.jpg", "youtube_id": "xeLeYS7GRvY", "content_kind": "Video", "readable_id": "fractions-cut-and-copy-1-exercise"}], "twitter_url": "", "translated_description": "Do you want 2/3 or 4/6 of this pizza? Doesn't matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Do you want 2/3 or 4/6 of this pizza? Doesn't matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.", "x_pos": 0.0, "node_slug": "visualizing-equivalent-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T18:00:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c44414c", "topic_page_url": "/math/arithmetic/fractions/visualizing-equivalent-fractions", "extended_slug": "math/arithmetic/fractions/visualizing-equivalent-fractions", "slug": "visualizing-equivalent-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e0848c199a11187c96fce1607e593a671820a037", "standalone_title": "Visualizing equivalent fractions", "y_pos": 0.0, "current_revision_key": "e0848c199a11187c96fce1607e593a671820a037", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/Equivalent_fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/Equivalent_fractions", "translated_standalone_title": "Equivalent fractions", "translated_title": "Equivalent fractions and simplified form", "gplus_url": "", "id": "xf2cea82f", "old_key_name": "qsaWKcjLwFxmzgD6wSFraMPlbdZWmALYC98adYHY", "hide": false, "title": "Equivalent fractions and simplified form", "child_data": [{"kind": "Video", "id": 2600706}, {"kind": "Exercise", "id": 196011899}, {"kind": "Video", "id": 4802211}, {"kind": "Video", "id": 2600705}, {"kind": "Video", "id": 158925087}, {"kind": "Exercise", "id": 3018}, {"kind": "Exercise", "id": 196046899}], "children": [{"translated_youtube_id": "WPimvspI0_c", "relative_url": "/video/fractions-in-lowest-terms", "has_questions": "live", "keywords": "U02_L1_T4_we2, Fractions, in, lowest, terms, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/fractions-in-lowest-terms", "duration": 342, "translated_title": "Fractions in lowest terms", "translated_description_html": "Fractions in lowest terms", "id": "2600706", "description_html": "Fractions in lowest terms", "title": "Fractions in lowest terms", "progress_key": "v2600706", "edit_slug": "edit/v/2600706", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fractions in lowest terms", "extra_properties": null, "node_slug": "v/fractions-in-lowest-terms", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WPimvspI0_c.mp4/WPimvspI0_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WPimvspI0_c.mp4/WPimvspI0_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WPimvspI0_c.m3u8/WPimvspI0_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WPimvspI0_c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600706", "sha": "6f9e9624c965900600cc9007c4726d3d81afc764", "translated_description": "Fractions in lowest terms", "image_url": "https://img.youtube.com/vi/WPimvspI0_c/hqdefault.jpg", "youtube_id": "WPimvspI0_c", "content_kind": "Video", "readable_id": "fractions-in-lowest-terms"}, {"translated_youtube_id": "U2ovEuEUxXQ", "relative_url": "/video/equivalent-fractions", "has_questions": "live", "keywords": "fractions, math, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_3_NF_3_c, CC_3_NF_3_d, CC_4_NF_1", "ka_url": "http://www.khanacademy.org/video/equivalent-fractions", "duration": 349, "translated_title": "Equivalent fractions", "translated_description_html": "Introduces the concept of equivalent fractions", "id": "4802211", "description_html": "Introduces the concept of equivalent fractions", "title": "Equivalent fractions", "progress_key": "v4802211", "edit_slug": "edit/v/4802211", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduces the concept of equivalent fractions", "extra_properties": null, "node_slug": "v/equivalent-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2ovEuEUxXQ.mp4/U2ovEuEUxXQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2ovEuEUxXQ.mp4/U2ovEuEUxXQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2ovEuEUxXQ.m3u8/U2ovEuEUxXQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2ovEuEUxXQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802211", "sha": "19f447e832f6888a74fc66c4499b2c8ebcb492e9", "translated_description": "Introduces the concept of equivalent fractions", "image_url": "https://img.youtube.com/vi/U2ovEuEUxXQ/hqdefault.jpg", "youtube_id": "U2ovEuEUxXQ", "content_kind": "Video", "readable_id": "equivalent-fractions"}, {"translated_youtube_id": "0JW9P_T4P_Y", "relative_url": "/video/equivalent-fractions-example", "has_questions": "live", "keywords": "U02_L1_T4_we1, Equivalent, Fractions", "ka_url": "http://www.khanacademy.org/video/equivalent-fractions-example", "duration": 290, "translated_title": "Equivalent fractions example", "translated_description_html": "Equivalent Fractions", "id": "2600705", "description_html": "Equivalent Fractions", "title": "Equivalent fractions example", "progress_key": "v2600705", "edit_slug": "edit/v/2600705", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equivalent Fractions", "extra_properties": null, "node_slug": "v/equivalent-fractions-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.m3u8/0JW9P_T4P_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0JW9P_T4P_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600705", "sha": "823a92a5b2ead99ee2d8c7f0ccaa6232f69e53f1", "translated_description": "Equivalent Fractions", "image_url": "https://img.youtube.com/vi/0JW9P_T4P_Y/hqdefault.jpg", "youtube_id": "0JW9P_T4P_Y", "content_kind": "Video", "readable_id": "equivalent-fractions-example"}, {"translated_youtube_id": "lxjmR4pYIVU", "relative_url": "/video/finding-common-denominators", "has_questions": false, "keywords": "U02_l3_t1_we7, Finding, Common, Denominators", "ka_url": "http://www.khanacademy.org/video/finding-common-denominators", "duration": 282, "translated_title": "Finding common denominators", "translated_description_html": "Finding Common Denominators", "id": "158925087", "description_html": "Finding Common Denominators", "title": "Finding common denominators", "progress_key": "v158925087", "edit_slug": "edit/v/158925087", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Common Denominators", "extra_properties": null, "node_slug": "v/finding-common-denominators", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lxjmR4pYIVU.mp4/lxjmR4pYIVU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lxjmR4pYIVU.mp4/lxjmR4pYIVU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lxjmR4pYIVU.m3u8/lxjmR4pYIVU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lxjmR4pYIVU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925087", "sha": "17e3bea645e60cd0e155abf1202b19625769ceda", "translated_description": "Finding Common Denominators", "image_url": "https://img.youtube.com/vi/lxjmR4pYIVU/hqdefault.jpg", "youtube_id": "lxjmR4pYIVU", "content_kind": "Video", "readable_id": "finding-common-denominators"}], "twitter_url": "", "translated_description": "There are literally infinite ways to represent any fraction (or number for that matter). Don't believe us? Let's take 1/3. 2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)! \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "There are literally infinite ways to represent any fraction (or number for that matter). Don't believe us? Let's take 1/3. 2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)! \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!", "x_pos": 0.0, "node_slug": "Equivalent_fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T18:00:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf2cea82f", "topic_page_url": "/math/arithmetic/fractions/Equivalent_fractions", "extended_slug": "math/arithmetic/fractions/Equivalent_fractions", "slug": "Equivalent_fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1bf349ab8af398708b587ff0d21693fc2b3bd716", "standalone_title": "Equivalent fractions", "y_pos": 0.0, "current_revision_key": "1bf349ab8af398708b587ff0d21693fc2b3bd716", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/comparing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/comparing-fractions", "translated_standalone_title": "Comparing fractions", "translated_title": "Comparing fractions", "gplus_url": "", "id": "xc886c672", "old_key_name": null, "hide": false, "title": "Comparing fractions", "child_data": [{"kind": "Video", "id": "x99037b55"}, {"kind": "Video", "id": "x8fe87fd9"}, {"kind": "Exercise", "id": 196041692}, {"kind": "Video", "id": 2600757}, {"kind": "Video", "id": 153770147}, {"kind": "Exercise", "id": 196034489}, {"kind": "Video", "id": 211177354}, {"kind": "Exercise", "id": 205280964}], "children": [{"translated_youtube_id": "8OKTrN0uT-Q", "relative_url": "/video/comparing-fractions-with-greater-than-and-less-than-symbols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-with-greater-than-and-less-than-symbols", "duration": 319, "translated_title": "Comparing fractions with greater than and less than symbols", "translated_description_html": "", "id": "x99037b55", "description_html": "", "title": "Comparing fractions with greater than and less than symbols", "progress_key": "vx99037b55", "edit_slug": "edit/v/x99037b55", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-fractions-with-greater-than-and-less-than-symbols", "deleted": false, "backup_timestamp": "2013-10-18T20:58:21Z", "date_added": "2013-10-18T20:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.mp4/8OKTrN0uT-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.mp4/8OKTrN0uT-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8OKTrN0uT-Q.m3u8/8OKTrN0uT-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8OKTrN0uT-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx99037b55", "sha": "073feea628202916da5e94023f8736d743e7f1bc", "translated_description": "", "image_url": "https://img.youtube.com/vi/8OKTrN0uT-Q/hqdefault.jpg", "youtube_id": "8OKTrN0uT-Q", "content_kind": "Video", "readable_id": "comparing-fractions-with-greater-than-and-less-than-symbols"}, {"translated_youtube_id": "wbAxarp_Ug4", "relative_url": "/video/fractions-with-like-denominators-numerators", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-with-like-denominators-numerators", "duration": 288, "translated_title": "Comparing fractions with like numerators and denominators", "translated_description_html": "", "id": "x8fe87fd9", "description_html": "", "title": "Comparing fractions with like numerators and denominators", "progress_key": "vx8fe87fd9", "edit_slug": "edit/v/x8fe87fd9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fractions-with-like-denominators-numerators", "deleted": false, "backup_timestamp": "2013-11-13T17:06:44Z", "date_added": "2013-11-13T17:06:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wbAxarp_Ug4.mp4/wbAxarp_Ug4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wbAxarp_Ug4.mp4/wbAxarp_Ug4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wbAxarp_Ug4.m3u8/wbAxarp_Ug4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wbAxarp_Ug4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8fe87fd9", "sha": "1fb18d833dd1b813512c09fb8de86cc29c00b325", "translated_description": "", "image_url": "https://img.youtube.com/vi/wbAxarp_Ug4/hqdefault.jpg", "youtube_id": "wbAxarp_Ug4", "content_kind": "Video", "readable_id": "fractions-with-like-denominators-numerators"}, {"translated_youtube_id": "Io9i1JkKgN4", "relative_url": "/video/comparing-fractions", "has_questions": "live", "keywords": "U02_L1_T5_we1, Comparing, Fractions, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/comparing-fractions", "duration": 150, "translated_title": "Comparing fractions", "translated_description_html": "Comparing Fractions", "id": "2600757", "description_html": "Comparing Fractions", "title": "Comparing fractions", "progress_key": "v2600757", "edit_slug": "edit/v/2600757", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing Fractions", "extra_properties": null, "node_slug": "v/comparing-fractions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Io9i1JkKgN4.mp4/Io9i1JkKgN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Io9i1JkKgN4.mp4/Io9i1JkKgN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Io9i1JkKgN4.m3u8/Io9i1JkKgN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Io9i1JkKgN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600757", "sha": "4bd07538309c145246b27b28501813648515774e", "translated_description": "Comparing Fractions", "image_url": "https://img.youtube.com/vi/Io9i1JkKgN4/hqdefault.jpg", "youtube_id": "Io9i1JkKgN4", "content_kind": "Video", "readable_id": "comparing-fractions"}, {"translated_youtube_id": "2dbasvm3iG0", "relative_url": "/video/comparing-fractions-2", "has_questions": false, "keywords": "u2_l1_t5_we2, Comparing, Fractions, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_6_NS_4", "ka_url": "http://www.khanacademy.org/video/comparing-fractions-2", "duration": 428, "translated_title": "Comparing fractions 2", "translated_description_html": "Comparing Fractions", "id": "153770147", "description_html": "Comparing Fractions", "title": "Comparing fractions 2", "progress_key": "v153770147", "edit_slug": "edit/v/153770147", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Fractions", "extra_properties": null, "node_slug": "v/comparing-fractions-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.mp4/2dbasvm3iG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.mp4/2dbasvm3iG0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2dbasvm3iG0.m3u8/2dbasvm3iG0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2dbasvm3iG0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770147", "sha": "dd32d21941d943062dce990bf0cb1da8b739f566", "translated_description": "Comparing Fractions", "image_url": "https://img.youtube.com/vi/2dbasvm3iG0/hqdefault.jpg", "youtube_id": "2dbasvm3iG0", "content_kind": "Video", "readable_id": "comparing-fractions-2"}, {"translated_youtube_id": "N8dIOmk_lHs", "relative_url": "/video/ordering-fractions", "has_questions": false, "keywords": "fractions, least, common, multiple, LCM", "ka_url": "http://www.khanacademy.org/video/ordering-fractions", "duration": 468, "translated_title": "Ordering fractions", "translated_description_html": "Finding common denominators of multiple fractions to order them", "id": "211177354", "description_html": "Finding common denominators of multiple fractions to order them", "title": "Ordering fractions", "progress_key": "v211177354", "edit_slug": "edit/v/211177354", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Finding common denominators of multiple fractions to order them", "extra_properties": {"original_url": ""}, "node_slug": "v/ordering-fractions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-24T10:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.mp4/N8dIOmk_lHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.mp4/N8dIOmk_lHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N8dIOmk_lHs.m3u8/N8dIOmk_lHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N8dIOmk_lHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177354", "sha": "1df2e09eb12d417994955bcf637ed11179e07aac", "translated_description": "Finding common denominators of multiple fractions to order them", "image_url": "https://img.youtube.com/vi/N8dIOmk_lHs/hqdefault.jpg", "youtube_id": "N8dIOmk_lHs", "content_kind": "Video", "readable_id": "ordering-fractions"}], "twitter_url": "", "translated_description": "In this tutorial, we'll practice understanding what quantities fractions actually represent and comparing those to each other.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll practice understanding what quantities fractions actually represent and comparing those to each other.", "x_pos": 0.0, "node_slug": "comparing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T18:00:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc886c672", "topic_page_url": "/math/arithmetic/fractions/comparing-fractions", "extended_slug": "math/arithmetic/fractions/comparing-fractions", "slug": "comparing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2cb47c733f9ce4aba7c2fa6c5cb0b49a99489184", "standalone_title": "Comparing fractions", "y_pos": 0.0, "current_revision_key": "2cb47c733f9ce4aba7c2fa6c5cb0b49a99489184", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/decomposing-fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/decomposing-fractions", "translated_standalone_title": "Decomposing fractions", "translated_title": "Decomposing fractions", "gplus_url": "", "id": "x75cc090d", "old_key_name": null, "hide": false, "title": "Decomposing fractions", "child_data": [{"kind": "Video", "id": "xe27e78d0"}, {"kind": "Video", "id": "x5939f38d"}, {"kind": "Video", "id": "xd56dd640"}, {"kind": "Exercise", "id": "x8d34d703"}], "children": [{"translated_youtube_id": "_E9fG8BYcBo", "relative_url": "/video/decomposing-a-fraction-visually", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decomposing-a-fraction-visually", "duration": 299, "translated_title": "Decomposing a fraction visually", "translated_description_html": "", "id": "xe27e78d0", "description_html": "", "title": "Decomposing a fraction visually", "progress_key": "vxe27e78d0", "edit_slug": "edit/v/xe27e78d0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decomposing-a-fraction-visually", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.mp4/_E9fG8BYcBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.mp4/_E9fG8BYcBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_E9fG8BYcBo.m3u8/_E9fG8BYcBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_E9fG8BYcBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe27e78d0", "sha": "0181181dc3aa7019498f4f7f33e38d09972eabee", "translated_description": "", "image_url": "https://img.youtube.com/vi/_E9fG8BYcBo/hqdefault.jpg", "youtube_id": "_E9fG8BYcBo", "content_kind": "Video", "readable_id": "decomposing-a-fraction-visually"}, {"translated_youtube_id": "erZe85NrsK0", "relative_url": "/video/decomposing-a-mixed-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decomposing-a-mixed-number", "duration": 300, "translated_title": "Decomposing a mixed number", "translated_description_html": "", "id": "x5939f38d", "description_html": "", "title": "Decomposing a mixed number", "progress_key": "vx5939f38d", "edit_slug": "edit/v/x5939f38d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decomposing-a-mixed-number", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.mp4/erZe85NrsK0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.mp4/erZe85NrsK0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/erZe85NrsK0.m3u8/erZe85NrsK0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=erZe85NrsK0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5939f38d", "sha": "25da2c7f57dcd00000565421cc1fd5eb183a0cc1", "translated_description": "", "image_url": "https://img.youtube.com/vi/erZe85NrsK0/hqdefault.jpg", "youtube_id": "erZe85NrsK0", "content_kind": "Video", "readable_id": "decomposing-a-mixed-number"}, {"translated_youtube_id": "l_Qj6aC6RV8", "relative_url": "/video/adding-up-to-a-fraction-drag-and-drop-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-up-to-a-fraction-drag-and-drop-example", "duration": 96, "translated_title": "Adding up to a fraction drag and drop example", "translated_description_html": "", "id": "xd56dd640", "description_html": "", "title": "Adding up to a fraction drag and drop example", "progress_key": "vxd56dd640", "edit_slug": "edit/v/xd56dd640", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-up-to-a-fraction-drag-and-drop-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T19:14:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.mp4/l_Qj6aC6RV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.mp4/l_Qj6aC6RV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l_Qj6aC6RV8.m3u8/l_Qj6aC6RV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l_Qj6aC6RV8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd56dd640", "sha": "4324cf1652735b02714d8b9bda15bd952a3408a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/l_Qj6aC6RV8/hqdefault.jpg", "youtube_id": "l_Qj6aC6RV8", "content_kind": "Video", "readable_id": "adding-up-to-a-fraction-drag-and-drop-example"}], "twitter_url": "", "translated_description": "In this tutorial, we'll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this.", "x_pos": 0.0, "node_slug": "decomposing-fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T19:19:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75cc090d", "topic_page_url": "/math/arithmetic/fractions/decomposing-fractions", "extended_slug": "math/arithmetic/fractions/decomposing-fractions", "slug": "decomposing-fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c28c9a784e3609a6b059f01cb6ab384cc19d9921", "standalone_title": "Decomposing fractions", "y_pos": 0.0, "current_revision_key": "c28c9a784e3609a6b059f01cb6ab384cc19d9921", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/Adding_and_subtracting_fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/Adding_and_subtracting_fractions", "translated_standalone_title": "Adding and subtracting fractions", "translated_title": "Adding and subtracting fractions", "gplus_url": "", "id": "x8ff43f34", "old_key_name": "wNeTNs5NVCEHQcvU_RNfIAavQc6SHr5f4cXHBC--", "hide": false, "title": "Adding and subtracting fractions", "child_data": [{"kind": "Video", "id": 2600768}, {"kind": "Exercise", "id": 66768579}, {"kind": "Video", "id": 2600773}, {"kind": "Exercise", "id": 66792177}, {"kind": "Video", "id": 25751}, {"kind": "Video", "id": 2600769}, {"kind": "Video", "id": 883409220}, {"kind": "Exercise", "id": 201422224}, {"kind": "Video", "id": "x1162a780"}, {"kind": "Exercise", "id": 231832521}, {"kind": "Video", "id": 13179314}, {"kind": "Exercise", "id": 3011}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23600}], "children": [{"translated_youtube_id": "EJjnEau6aeI", "relative_url": "/video/adding-fractions-with-like-denominators", "has_questions": false, "keywords": "U02_L3_T1_we1, Adding, Fractions, with, Like, Denominators, CC_4_MD_2, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_c, CC_4_NF_3_d", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-like-denominators", "duration": 198, "translated_title": "Adding fractions with like denominators", "translated_description_html": "Adding Fractions with Like Denominators", "id": "2600768", "description_html": "Adding Fractions with Like Denominators", "title": "Adding fractions with like denominators", "progress_key": "v2600768", "edit_slug": "edit/v/2600768", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Fractions with Like Denominators", "extra_properties": null, "node_slug": "v/adding-fractions-with-like-denominators", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.mp4/EJjnEau6aeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.mp4/EJjnEau6aeI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EJjnEau6aeI.m3u8/EJjnEau6aeI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EJjnEau6aeI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600768", "sha": "440f36e789fe15dbffda4f63d65d2849a9c76d9f", "translated_description": "Adding Fractions with Like Denominators", "image_url": "https://img.youtube.com/vi/EJjnEau6aeI/hqdefault.jpg", "youtube_id": "EJjnEau6aeI", "content_kind": "Video", "readable_id": "adding-fractions-with-like-denominators"}, {"translated_youtube_id": "UbUdyE1_b9g", "relative_url": "/video/subtracting--fractions", "has_questions": false, "keywords": "U02_L3_T2_we1, Subtracting, Fractions", "ka_url": "http://www.khanacademy.org/video/subtracting--fractions", "duration": 146, "translated_title": "Subtracting fractions", "translated_description_html": "Subtracting Fractions", "id": "2600773", "description_html": "Subtracting Fractions", "title": "Subtracting fractions", "progress_key": "v2600773", "edit_slug": "edit/v/2600773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Fractions", "extra_properties": null, "node_slug": "v/subtracting--fractions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.mp4/UbUdyE1_b9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.mp4/UbUdyE1_b9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UbUdyE1_b9g.m3u8/UbUdyE1_b9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UbUdyE1_b9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600773", "sha": "fb1f34c89a90059840f87832d30a27c336d88855", "translated_description": "Subtracting Fractions", "image_url": "https://img.youtube.com/vi/UbUdyE1_b9g/hqdefault.jpg", "youtube_id": "UbUdyE1_b9g", "content_kind": "Video", "readable_id": "subtracting--fractions"}, {"translated_youtube_id": "52ZlXsFJULI", "relative_url": "/video/adding-and-subtracting-fractions", "has_questions": false, "keywords": "Math, fractions, adding, subtracting, CC_4_MD_2, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_d, CC_5_NF_1, CC_5_NF_2, CC_7_NS_1, CC_7_NS_1_d", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-fractions", "duration": 590, "translated_title": "Adding and subtracting fractions", "translated_description_html": "How to add and subtract fractions.", "id": "25751", "description_html": "How to add and subtract fractions.", "title": "Adding and subtracting fractions", "progress_key": "v25751", "edit_slug": "edit/v/25751", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to add and subtract fractions.", "extra_properties": null, "node_slug": "v/adding-and-subtracting-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/52ZlXsFJULI.mp4/52ZlXsFJULI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/52ZlXsFJULI.mp4/52ZlXsFJULI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/52ZlXsFJULI.m3u8/52ZlXsFJULI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=52ZlXsFJULI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25751", "sha": "67f59d97b7b84ea2cf8c1830a9c44fe1f8af5987", "translated_description": "How to add and subtract fractions.", "image_url": "https://img.youtube.com/vi/52ZlXsFJULI/hqdefault.jpg", "youtube_id": "52ZlXsFJULI", "content_kind": "Video", "readable_id": "adding-and-subtracting-fractions"}, {"translated_youtube_id": "OVMceVL_CEQ", "relative_url": "/video/adding-fractions-with-unlike-denominators", "has_questions": false, "keywords": "U02_L3_T1_we2, Adding, Fractions, with, Unlike, Denominators, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-unlike-denominators", "duration": 246, "translated_title": "Adding fractions with unlike denominators", "translated_description_html": "Adding Fractions with Unlike Denominators", "id": "2600769", "description_html": "Adding Fractions with Unlike Denominators", "title": "Adding fractions with unlike denominators", "progress_key": "v2600769", "edit_slug": "edit/v/2600769", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Fractions with Unlike Denominators", "extra_properties": null, "node_slug": "v/adding-fractions-with-unlike-denominators", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.mp4/OVMceVL_CEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.mp4/OVMceVL_CEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OVMceVL_CEQ.m3u8/OVMceVL_CEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OVMceVL_CEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600769", "sha": "b69153853c0b464d83aa0f4670505552c89f1ac9", "translated_description": "Adding Fractions with Unlike Denominators", "image_url": "https://img.youtube.com/vi/OVMceVL_CEQ/hqdefault.jpg", "youtube_id": "OVMceVL_CEQ", "content_kind": "Video", "readable_id": "adding-fractions-with-unlike-denominators"}, {"translated_youtube_id": "TuId1spuyoc", "relative_url": "/video/adding-fractions--ex-1", "has_questions": false, "keywords": "Adding, fractions, ex, 1", "ka_url": "http://www.khanacademy.org/video/adding-fractions--ex-1", "duration": 153, "translated_title": "Adding fractions (ex 1)", "translated_description_html": "Adding fractions (ex 1)", "id": "883409220", "description_html": "Adding fractions (ex 1)", "title": "Adding fractions (ex 1)", "progress_key": "v883409220", "edit_slug": "edit/v/883409220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Adding fractions (ex 1)", "extra_properties": null, "node_slug": "v/adding-fractions--ex-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-02T20:54:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.mp4/TuId1spuyoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.mp4/TuId1spuyoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TuId1spuyoc.m3u8/TuId1spuyoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TuId1spuyoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v883409220", "sha": "edaea89293b7916017710221ca45fe00a24e96df", "translated_description": "Adding fractions (ex 1)", "image_url": "https://img.youtube.com/vi/TuId1spuyoc/hqdefault.jpg", "youtube_id": "TuId1spuyoc", "content_kind": "Video", "readable_id": "adding-fractions--ex-1"}, {"translated_youtube_id": "N21Wh4Jqftc", "relative_url": "/video/subtracting-fractions-with-unlike-denominators", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-with-unlike-denominators", "duration": 264, "translated_title": "Subtracting fractions with unlike denominators", "translated_description_html": "", "id": "x1162a780", "description_html": "", "title": "Subtracting fractions with unlike denominators", "progress_key": "vx1162a780", "edit_slug": "edit/v/x1162a780", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/subtracting-fractions-with-unlike-denominators", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-23T22:47:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.mp4/N21Wh4Jqftc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.mp4/N21Wh4Jqftc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N21Wh4Jqftc.m3u8/N21Wh4Jqftc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N21Wh4Jqftc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1162a780", "sha": "75e35e153f9f0e3f85cbd052d1d6b05d2a488a79", "translated_description": "", "image_url": "https://img.youtube.com/vi/N21Wh4Jqftc/hqdefault.jpg", "youtube_id": "N21Wh4Jqftc", "content_kind": "Video", "readable_id": "subtracting-fractions-with-unlike-denominators"}, {"translated_youtube_id": "QS1LMomm0Gk", "relative_url": "/video/adding-fractions-with-different-signs", "has_questions": false, "keywords": "U09_L2_T2_we2, Adding, fractions, with, different, signs, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_c, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-different-signs", "duration": 382, "translated_title": "Adding fractions with different signs", "translated_description_html": "Adding fractions with different signs", "id": "13179314", "description_html": "Adding fractions with different signs", "title": "Adding fractions with different signs", "progress_key": "v13179314", "edit_slug": "edit/v/13179314", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding fractions with different signs", "extra_properties": null, "node_slug": "v/adding-fractions-with-different-signs", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.m3u8/QS1LMomm0Gk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QS1LMomm0Gk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179314", "sha": "e6c076f876476078336fff29ef1e0fcd0f4f387d", "translated_description": "Adding fractions with different signs", "image_url": "https://img.youtube.com/vi/QS1LMomm0Gk/hqdefault.jpg", "youtube_id": "QS1LMomm0Gk", "content_kind": "Video", "readable_id": "adding-fractions-with-different-signs"}, {"translated_youtube_id": "BKEtsv9MbyY", "relative_url": "/video/addition-of-rational--numbers", "has_questions": false, "keywords": "Addition, of, Rational, Numbers, CC_5_NF_1, CC_7_NS_1", "ka_url": "http://www.khanacademy.org/video/addition-of-rational--numbers", "duration": 460, "translated_title": "Adding fractions examples", "translated_description_html": "", "id": "23600", "description_html": "", "title": "Adding fractions examples", "progress_key": "v23600", "edit_slug": "edit/v/23600", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/addition-of-rational--numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BKEtsv9MbyY.mp4/BKEtsv9MbyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BKEtsv9MbyY.mp4/BKEtsv9MbyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BKEtsv9MbyY.m3u8/BKEtsv9MbyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BKEtsv9MbyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23600", "sha": "a4989019d9d49d21f9657c71695e2982165ed714", "translated_description": "", "image_url": "https://img.youtube.com/vi/BKEtsv9MbyY/hqdefault.jpg", "youtube_id": "BKEtsv9MbyY", "content_kind": "Video", "readable_id": "addition-of-rational--numbers"}], "twitter_url": "", "translated_description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.", "x_pos": 0.0, "node_slug": "Adding_and_subtracting_fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-26T23:04:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8ff43f34", "topic_page_url": "/math/arithmetic/fractions/Adding_and_subtracting_fractions", "extended_slug": "math/arithmetic/fractions/Adding_and_subtracting_fractions", "slug": "Adding_and_subtracting_fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "87a2dc82c618bc641b11bb8e31021f2e507b97d1", "standalone_title": "Adding and subtracting fractions", "y_pos": 0.0, "current_revision_key": "87a2dc82c618bc641b11bb8e31021f2e507b97d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/adding-subtracting-fractions-wp", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/adding-subtracting-fractions-wp", "translated_standalone_title": "Adding and subtracting fractions word problems", "translated_title": "Adding and subtracting fractions word problems", "gplus_url": "", "id": "xc2ab8f63", "old_key_name": null, "hide": false, "title": "Adding and subtracting fractions word problems", "child_data": [{"kind": "Video", "id": "x0913bd5c"}, {"kind": "Video", "id": "xa613e211"}, {"kind": "Video", "id": "xcd390cf1"}, {"kind": "Exercise", "id": "x7a896723"}, {"kind": "Video", "id": "x1a5c8db9"}, {"kind": "Video", "id": "x39fd4ded"}, {"kind": "Exercise", "id": "xdf3b07bd"}], "children": [{"translated_youtube_id": "5r2FYszC_sU", "relative_url": "/video/adding-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-word-problem-1", "duration": 105, "translated_title": "What fraction of spider eyes are looking at me?", "translated_description_html": "", "id": "x0913bd5c", "description_html": "", "title": "What fraction of spider eyes are looking at me?", "progress_key": "vx0913bd5c", "edit_slug": "edit/v/x0913bd5c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-08T20:31:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.mp4/5r2FYszC_sU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.mp4/5r2FYszC_sU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5r2FYszC_sU.m3u8/5r2FYszC_sU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5r2FYszC_sU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0913bd5c", "sha": "18902b416cf50d3d08afc2adaa20cf3f0bedf695", "translated_description": "", "image_url": "https://img.youtube.com/vi/5r2FYszC_sU/hqdefault.jpg", "youtube_id": "5r2FYszC_sU", "content_kind": "Video", "readable_id": "adding-fractions-word-problem-1"}, {"translated_youtube_id": "0njioQqIxKY", "relative_url": "/video/subtracting-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-word-problem-1", "duration": 184, "translated_title": "How much more piano practice?", "translated_description_html": "", "id": "xa613e211", "description_html": "", "title": "How much more piano practice?", "progress_key": "vxa613e211", "edit_slug": "edit/v/xa613e211", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/subtracting-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T20:31:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.mp4/0njioQqIxKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.mp4/0njioQqIxKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0njioQqIxKY.m3u8/0njioQqIxKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0njioQqIxKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa613e211", "sha": "8047caebe83f9e8831c715115f393f710e745785", "translated_description": "", "image_url": "https://img.youtube.com/vi/0njioQqIxKY/hqdefault.jpg", "youtube_id": "0njioQqIxKY", "content_kind": "Video", "readable_id": "subtracting-fractions-word-problem-1"}, {"translated_youtube_id": "gPbN26bYyN8", "relative_url": "/video/adding-fractions-word-problem-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-word-problem-2", "duration": 149, "translated_title": "How long is this lizard?", "translated_description_html": "", "id": "xcd390cf1", "description_html": "", "title": "How long is this lizard?", "progress_key": "vxcd390cf1", "edit_slug": "edit/v/xcd390cf1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-fractions-word-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T20:31:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.mp4/gPbN26bYyN8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.mp4/gPbN26bYyN8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gPbN26bYyN8.m3u8/gPbN26bYyN8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gPbN26bYyN8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcd390cf1", "sha": "afdcb7f6d94c22b67f11fb5c726e222420b5b37d", "translated_description": "", "image_url": "https://img.youtube.com/vi/gPbN26bYyN8/hqdefault.jpg", "youtube_id": "gPbN26bYyN8", "content_kind": "Video", "readable_id": "adding-fractions-word-problem-2"}, {"translated_youtube_id": "PKh5B9xyzSc", "relative_url": "/video/adding-fractions-with-unlike-denominators-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-fractions-with-unlike-denominators-word-problem", "duration": 347, "translated_title": "Adding fractions with unlike denominators word problem", "translated_description_html": "", "id": "x1a5c8db9", "description_html": "", "title": "Adding fractions with unlike denominators word problem", "progress_key": "vx1a5c8db9", "edit_slug": "edit/v/x1a5c8db9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-fractions-with-unlike-denominators-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T16:41:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.mp4/PKh5B9xyzSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.mp4/PKh5B9xyzSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PKh5B9xyzSc.m3u8/PKh5B9xyzSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PKh5B9xyzSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a5c8db9", "sha": "59de1e972d3b16128685665240a9468ef0596d52", "translated_description": "", "image_url": "https://img.youtube.com/vi/PKh5B9xyzSc/hqdefault.jpg", "youtube_id": "PKh5B9xyzSc", "content_kind": "Video", "readable_id": "adding-fractions-with-unlike-denominators-word-problem"}, {"translated_youtube_id": "5fK8HEYNRuQ", "relative_url": "/video/subtracting-fractions-with-unlike-denominators-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subtracting-fractions-with-unlike-denominators-word-problem", "duration": 199, "translated_title": "Subtracting fractions with unlike denominators word problem", "translated_description_html": "", "id": "x39fd4ded", "description_html": "", "title": "Subtracting fractions with unlike denominators word problem", "progress_key": "vx39fd4ded", "edit_slug": "edit/v/x39fd4ded", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/subtracting-fractions-with-unlike-denominators-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T16:41:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.mp4/5fK8HEYNRuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.mp4/5fK8HEYNRuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fK8HEYNRuQ.m3u8/5fK8HEYNRuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fK8HEYNRuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39fd4ded", "sha": "c220082092f7b4f6419bd405c5fc83a914264786", "translated_description": "", "image_url": "https://img.youtube.com/vi/5fK8HEYNRuQ/hqdefault.jpg", "youtube_id": "5fK8HEYNRuQ", "content_kind": "Video", "readable_id": "subtracting-fractions-with-unlike-denominators-word-problem"}], "twitter_url": "", "translated_description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you're about to see that adding and subtracting fractions is far more powerful (and fun) then you've ever dreamed possible!", "x_pos": 0.0, "node_slug": "adding-subtracting-fractions-wp", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T16:45:43Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc2ab8f63", "topic_page_url": "/math/arithmetic/fractions/adding-subtracting-fractions-wp", "extended_slug": "math/arithmetic/fractions/adding-subtracting-fractions-wp", "slug": "adding-subtracting-fractions-wp", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a6c0e2cf757ba9e5c748107c9ed08235e4a5be46", "standalone_title": "Adding and subtracting fractions word problems", "y_pos": 0.0, "current_revision_key": "a6c0e2cf757ba9e5c748107c9ed08235e4a5be46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/multiplying_fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/multiplying_fractions", "translated_standalone_title": "Multiplying fractions", "translated_title": "Multiplying fractions", "gplus_url": "", "id": "x80cabf93", "old_key_name": "CsGupb_IWXRzv2_ff16xoZM2L_v-b0wvMVGVMSp3", "hide": false, "title": "Multiplying fractions", "child_data": [{"kind": "Video", "id": "x3769a3bc"}, {"kind": "Exercise", "id": "xdd0887d4"}, {"kind": "Video", "id": "x369b9278"}, {"kind": "Video", "id": 2600759}, {"kind": "Exercise", "id": 537138489}, {"kind": "Video", "id": "x747283e7"}, {"kind": "Exercise", "id": 3014}, {"kind": "Video", "id": "xc436768c"}, {"kind": "Exercise", "id": "x2a24ba5e"}], "children": [{"translated_youtube_id": "4PlkCiEXBQI", "relative_url": "/video/multiplying-fractions-and-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-and-whole-numbers", "duration": 188, "translated_title": "Multiplying fractions and whole numbers", "translated_description_html": "", "id": "x3769a3bc", "description_html": "", "title": "Multiplying fractions and whole numbers", "progress_key": "vx3769a3bc", "edit_slug": "edit/v/x3769a3bc", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-fractions-and-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-14T14:46:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.mp4/4PlkCiEXBQI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PlkCiEXBQI.m3u8/4PlkCiEXBQI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PlkCiEXBQI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3769a3bc", "sha": "dad37fcf9165ee7fba8dd7b6d7b98a49000339a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/4PlkCiEXBQI/hqdefault.jpg", "youtube_id": "4PlkCiEXBQI", "content_kind": "Video", "readable_id": "multiplying-fractions-and-whole-numbers"}, {"translated_youtube_id": "x6xtezhuCZ4", "relative_url": "/video/multiplying-a-fraction-by-a-fraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-a-fraction-by-a-fraction", "duration": 306, "translated_title": "Multiplying a fraction by a fraction", "translated_description_html": "", "id": "x369b9278", "description_html": "", "title": "Multiplying a fraction by a fraction", "progress_key": "vx369b9278", "edit_slug": "edit/v/x369b9278", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-a-fraction-by-a-fraction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T14:46:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.mp4/x6xtezhuCZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.mp4/x6xtezhuCZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x6xtezhuCZ4.m3u8/x6xtezhuCZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x6xtezhuCZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx369b9278", "sha": "41c89b40e22014bc47e5eb561b1659a2a3a0f871", "translated_description": "", "image_url": "https://img.youtube.com/vi/x6xtezhuCZ4/hqdefault.jpg", "youtube_id": "x6xtezhuCZ4", "content_kind": "Video", "readable_id": "multiplying-a-fraction-by-a-fraction"}, {"translated_youtube_id": "CTKMK1ZGLuk", "relative_url": "/video/multiplying-fractions", "has_questions": false, "keywords": "U02_L2_T1_we1, Multiplying, Fractions, CC_5_NF_6, CC_7_NS_2, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions", "duration": 146, "translated_title": "Multiplying fractions", "translated_description_html": "Multiplying Fractions", "id": "2600759", "description_html": "Multiplying Fractions", "title": "Multiplying fractions", "progress_key": "v2600759", "edit_slug": "edit/v/2600759", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Fractions", "extra_properties": null, "node_slug": "v/multiplying-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.m3u8/CTKMK1ZGLuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CTKMK1ZGLuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600759", "sha": "afd5217831f2714ac83b37c2c0105b40b1b3770e", "translated_description": "Multiplying Fractions", "image_url": "https://img.youtube.com/vi/CTKMK1ZGLuk/hqdefault.jpg", "youtube_id": "CTKMK1ZGLuk", "content_kind": "Video", "readable_id": "multiplying-fractions"}, {"translated_youtube_id": "pi3WWQ0q6Lc", "relative_url": "/video/multiplying-negative-and-positive-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-negative-and-positive-fractions", "duration": 273, "translated_title": "Multiplying negative and positive fractions", "translated_description_html": "", "id": "x747283e7", "description_html": "", "title": "Multiplying negative and positive fractions", "progress_key": "vx747283e7", "edit_slug": "edit/v/x747283e7", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-negative-and-positive-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-14T14:46:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.mp4/pi3WWQ0q6Lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.mp4/pi3WWQ0q6Lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pi3WWQ0q6Lc.m3u8/pi3WWQ0q6Lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pi3WWQ0q6Lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx747283e7", "sha": "5e714f2d97609db0f8086b0079f2dc686f80ad05", "translated_description": "", "image_url": "https://img.youtube.com/vi/pi3WWQ0q6Lc/hqdefault.jpg", "youtube_id": "pi3WWQ0q6Lc", "content_kind": "Video", "readable_id": "multiplying-negative-and-positive-fractions"}, {"translated_youtube_id": "yUYDhmQsiXY", "relative_url": "/video/multiplication-as-scaling", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplication-as-scaling", "duration": 306, "translated_title": "Multiplication as scaling", "translated_description_html": "", "id": "xc436768c", "description_html": "", "title": "Multiplication as scaling", "progress_key": "vxc436768c", "edit_slug": "edit/v/xc436768c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-as-scaling", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T18:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.mp4/yUYDhmQsiXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.mp4/yUYDhmQsiXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUYDhmQsiXY.m3u8/yUYDhmQsiXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUYDhmQsiXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc436768c", "sha": "4e6add5202265f970af4ee18ccb453d2b9006d68", "translated_description": "", "image_url": "https://img.youtube.com/vi/yUYDhmQsiXY/hqdefault.jpg", "youtube_id": "yUYDhmQsiXY", "content_kind": "Video", "readable_id": "multiplication-as-scaling"}], "twitter_url": "", "translated_description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there?\n\nMultiplying fractions is not only super-useful, but super-fun as well.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there?\n\nMultiplying fractions is not only super-useful, but super-fun as well.", "x_pos": 0.0, "node_slug": "multiplying_fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T18:04:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax80cabf93", "topic_page_url": "/math/arithmetic/fractions/multiplying_fractions", "extended_slug": "math/arithmetic/fractions/multiplying_fractions", "slug": "multiplying_fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0b6492de2f4abb99e09767300a86ec26c04fc175", "standalone_title": "Multiplying fractions", "y_pos": 0.0, "current_revision_key": "0b6492de2f4abb99e09767300a86ec26c04fc175", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/dividing-fractions-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/dividing-fractions-tutorial", "translated_standalone_title": "Dividing fractions", "translated_title": "Dividing fractions", "gplus_url": "", "id": "xc069aa9e", "old_key_name": null, "hide": false, "title": "Dividing fractions", "child_data": [{"kind": "Video", "id": "x28264782"}, {"kind": "Video", "id": "x851dfbb8"}, {"kind": "Exercise", "id": "x7c2f9803"}, {"kind": "Video", "id": "x32074d93"}, {"kind": "Video", "id": "xedf0d036"}, {"kind": "Video", "id": 2600767}, {"kind": "Exercise", "id": 537154517}, {"kind": "Exercise", "id": 3015}, {"kind": "Exercise", "id": "x273a2621"}, {"kind": "Video", "id": 4802263}, {"kind": "Video", "id": 2600764}, {"kind": "Video", "id": "x91b6f5a7"}, {"kind": "Exercise", "id": "x9ffaaf9c"}, {"kind": "Exercise", "id": 463313527}, {"kind": "Exercise", "id": "x0088f733"}], "children": [{"translated_youtube_id": "Mcm0Q3wGhMo", "relative_url": "/video/creating-a-fraction-through-division-of-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/creating-a-fraction-through-division-of-whole-numbers", "duration": 165, "translated_title": "Creating a fraction through division of whole numbers", "translated_description_html": "", "id": "x28264782", "description_html": "", "title": "Creating a fraction through division of whole numbers", "progress_key": "vx28264782", "edit_slug": "edit/v/x28264782", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/creating-a-fraction-through-division-of-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T01:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.mp4/Mcm0Q3wGhMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.mp4/Mcm0Q3wGhMo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mcm0Q3wGhMo.m3u8/Mcm0Q3wGhMo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mcm0Q3wGhMo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx28264782", "sha": "c86bc1b941c1da60360d492f5c9809bbf1d080f4", "translated_description": "", "image_url": "https://img.youtube.com/vi/Mcm0Q3wGhMo/hqdefault.jpg", "youtube_id": "Mcm0Q3wGhMo", "content_kind": "Video", "readable_id": "creating-a-fraction-through-division-of-whole-numbers"}, {"translated_youtube_id": "V8C15AfL6Gk", "relative_url": "/video/my-share-of-soap-as-a-mixed-number-on-a-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/my-share-of-soap-as-a-mixed-number-on-a-number-line", "duration": 151, "translated_title": "My share of soap as a mixed number on a number line", "translated_description_html": "", "id": "x851dfbb8", "description_html": "", "title": "My share of soap as a mixed number on a number line", "progress_key": "vx851dfbb8", "edit_slug": "edit/v/x851dfbb8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/my-share-of-soap-as-a-mixed-number-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-09T01:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.mp4/V8C15AfL6Gk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.mp4/V8C15AfL6Gk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V8C15AfL6Gk.m3u8/V8C15AfL6Gk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V8C15AfL6Gk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx851dfbb8", "sha": "74aebe5d4f4cace55e4b44fc1f0ba0a5e27d448f", "translated_description": "", "image_url": "https://img.youtube.com/vi/V8C15AfL6Gk/hqdefault.jpg", "youtube_id": "V8C15AfL6Gk", "content_kind": "Video", "readable_id": "my-share-of-soap-as-a-mixed-number-on-a-number-line"}, {"translated_youtube_id": "xoXYirs2Mzw", "relative_url": "/video/dividing-a-whole-number-by-a-fraction-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-whole-number-by-a-fraction-word-problem", "duration": 152, "translated_title": "Putting out bowls of potpurri", "translated_description_html": "", "id": "x32074d93", "description_html": "", "title": "Putting out bowls of potpurri", "progress_key": "vx32074d93", "edit_slug": "edit/v/x32074d93", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-whole-number-by-a-fraction-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-09T17:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.mp4/xoXYirs2Mzw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xoXYirs2Mzw.m3u8/xoXYirs2Mzw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xoXYirs2Mzw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx32074d93", "sha": "4d14acdcdc9a22fc70469829c3108a1046e55537", "translated_description": "", "image_url": "https://img.youtube.com/vi/xoXYirs2Mzw/hqdefault.jpg", "youtube_id": "xoXYirs2Mzw", "content_kind": "Video", "readable_id": "dividing-a-whole-number-by-a-fraction-word-problem"}, {"translated_youtube_id": "yb7lVnY_VCY", "relative_url": "/video/dividing-a-fraction-by-a-whole-number-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dividing-a-fraction-by-a-whole-number-word-problem", "duration": 155, "translated_title": "Spending the weekend studying", "translated_description_html": "", "id": "xedf0d036", "description_html": "", "title": "Spending the weekend studying", "progress_key": "vxedf0d036", "edit_slug": "edit/v/xedf0d036", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/dividing-a-fraction-by-a-whole-number-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T17:49:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.mp4/yb7lVnY_VCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yb7lVnY_VCY.m3u8/yb7lVnY_VCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yb7lVnY_VCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedf0d036", "sha": "0d6e129a524eb78cec7cebd1742fdacd41f6d96c", "translated_description": "", "image_url": "https://img.youtube.com/vi/yb7lVnY_VCY/hqdefault.jpg", "youtube_id": "yb7lVnY_VCY", "content_kind": "Video", "readable_id": "dividing-a-fraction-by-a-whole-number-word-problem"}, {"translated_youtube_id": "PQsgXNggV7Q", "relative_url": "/video/dividing-fractions-word-problem", "has_questions": false, "keywords": "U02_L2_T3_we5, Dividing, Fractions, Word, Problem", "ka_url": "http://www.khanacademy.org/video/dividing-fractions-word-problem", "duration": 128, "translated_title": "How many t-shirts can I make?", "translated_description_html": "

Dividing Fractions Word Problem<\/p>\n", "id": "2600767", "description_html": "

Dividing Fractions Word Problem<\/p>\n", "title": "How many t-shirts can I make?", "progress_key": "v2600767", "edit_slug": "edit/v/2600767", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Fractions Word Problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/dividing-fractions-word-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PQsgXNggV7Q.m3u8/PQsgXNggV7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PQsgXNggV7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600767", "sha": "3ea7253be5ddc19f8bc32190ff43209db5ecb767", "translated_description": "Dividing Fractions Word Problem\n", "image_url": "https://img.youtube.com/vi/PQsgXNggV7Q/hqdefault.jpg", "youtube_id": "PQsgXNggV7Q", "content_kind": "Video", "readable_id": "dividing-fractions-word-problem"}, {"translated_youtube_id": "zQMU-lsMb3U", "relative_url": "/video/dividing-fractions", "has_questions": false, "keywords": "dividing, fractions, division", "ka_url": "http://www.khanacademy.org/video/dividing-fractions", "duration": 539, "translated_title": "Dividing fractions", "translated_description_html": "Dividing fractions", "id": "4802263", "description_html": "Dividing fractions", "title": "Dividing fractions", "progress_key": "v4802263", "edit_slug": "edit/v/4802263", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Dividing fractions", "extra_properties": null, "node_slug": "v/dividing-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zQMU-lsMb3U.mp4/zQMU-lsMb3U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zQMU-lsMb3U.mp4/zQMU-lsMb3U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zQMU-lsMb3U.m3u8/zQMU-lsMb3U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zQMU-lsMb3U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802263", "sha": "9a7ef03a37afd268f02e1fc52af4594304b06c82", "translated_description": "Dividing fractions", "image_url": "https://img.youtube.com/vi/zQMU-lsMb3U/hqdefault.jpg", "youtube_id": "zQMU-lsMb3U", "content_kind": "Video", "readable_id": "dividing-fractions"}, {"translated_youtube_id": "tnkPY4UqJ44", "relative_url": "/video/dividing-fractions-example", "has_questions": false, "keywords": "U02_L2_T3_we2, Dividing, Fractions, CC_5_NF_7, CC_6_NS_1, CC_7_NS_2, CC_7_NS_2_c", "ka_url": "http://www.khanacademy.org/video/dividing-fractions-example", "duration": 216, "translated_title": "Dividing fractions example", "translated_description_html": "Dividing Fractions", "id": "2600764", "description_html": "Dividing Fractions", "title": "Dividing fractions example", "progress_key": "v2600764", "edit_slug": "edit/v/2600764", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Fractions", "extra_properties": null, "node_slug": "v/dividing-fractions-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.m3u8/tnkPY4UqJ44.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tnkPY4UqJ44&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600764", "sha": "a7f83f642bd1e07392ce3fa4f71ecbc82755636c", "translated_description": "Dividing Fractions", "image_url": "https://img.youtube.com/vi/tnkPY4UqJ44/hqdefault.jpg", "youtube_id": "tnkPY4UqJ44", "content_kind": "Video", "readable_id": "dividing-fractions-example"}, {"translated_youtube_id": "H0q9Fqb8YT4", "relative_url": "/video/examples-of-dividing-negative-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/examples-of-dividing-negative-fractions", "duration": 251, "translated_title": "Examples of dividing negative fractions", "translated_description_html": "", "id": "x91b6f5a7", "description_html": "", "title": "Examples of dividing negative fractions", "progress_key": "vx91b6f5a7", "edit_slug": "edit/v/x91b6f5a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/examples-of-dividing-negative-fractions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-12T23:55:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.mp4/H0q9Fqb8YT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.mp4/H0q9Fqb8YT4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H0q9Fqb8YT4.m3u8/H0q9Fqb8YT4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H0q9Fqb8YT4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx91b6f5a7", "sha": "ac44c72b757c79c9e2dca4dcd176efcffd9422c3", "translated_description": "", "image_url": "https://img.youtube.com/vi/H0q9Fqb8YT4/hqdefault.jpg", "youtube_id": "H0q9Fqb8YT4", "content_kind": "Video", "readable_id": "examples-of-dividing-negative-fractions"}], "twitter_url": "", "translated_description": "This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal!", "x_pos": 0.0, "node_slug": "dividing-fractions-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T23:59:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc069aa9e", "topic_page_url": "/math/arithmetic/fractions/dividing-fractions-tutorial", "extended_slug": "math/arithmetic/fractions/dividing-fractions-tutorial", "slug": "dividing-fractions-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6bfda0e136e87d9219db925add71430d280b8445", "standalone_title": "Dividing fractions", "y_pos": 0.0, "current_revision_key": "6bfda0e136e87d9219db925add71430d280b8445", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/multiplying-fractions-word-probl", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/multiplying-fractions-word-probl", "translated_standalone_title": "Multiplying fractions word problems", "translated_title": "Multiplying fractions word problems", "gplus_url": "", "id": "x5f29860a", "old_key_name": null, "hide": false, "title": "Multiplying fractions word problems", "child_data": [{"kind": "Video", "id": "x487557ed"}, {"kind": "Video", "id": "x8737839e"}, {"kind": "Video", "id": "x683d1719"}, {"kind": "Exercise", "id": "x8ab11134"}, {"kind": "Video", "id": 2600762}, {"kind": "Video", "id": "xe872bdba"}, {"kind": "Video", "id": "x6ac69445"}, {"kind": "Exercise", "id": "x057eb3ae"}], "children": [{"translated_youtube_id": "Yq9W6B7XnmU", "relative_url": "/video/multiplying-fractions-word-problem-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-2", "duration": 222, "translated_title": "How long will three movies last?", "translated_description_html": "", "id": "x487557ed", "description_html": "", "title": "How long will three movies last?", "progress_key": "vx487557ed", "edit_slug": "edit/v/x487557ed", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.mp4/Yq9W6B7XnmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yq9W6B7XnmU.m3u8/Yq9W6B7XnmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yq9W6B7XnmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx487557ed", "sha": "198c5d1c48e44ab67a2cef4b682e25f1a4246aeb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Yq9W6B7XnmU/hqdefault.jpg", "youtube_id": "Yq9W6B7XnmU", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-2"}, {"translated_youtube_id": "GvgJ2_7P9SA", "relative_url": "/video/multiplying-fractions-word-problem-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-3", "duration": 139, "translated_title": "My family loves milk", "translated_description_html": "", "id": "x8737839e", "description_html": "", "title": "My family loves milk", "progress_key": "vx8737839e", "edit_slug": "edit/v/x8737839e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.mp4/GvgJ2_7P9SA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GvgJ2_7P9SA.m3u8/GvgJ2_7P9SA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GvgJ2_7P9SA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8737839e", "sha": "ff48f60c7d18cc06bc7cee02150098c6beba8af9", "translated_description": "", "image_url": "https://img.youtube.com/vi/GvgJ2_7P9SA/hqdefault.jpg", "youtube_id": "GvgJ2_7P9SA", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-3"}, {"translated_youtube_id": "XDjbNykJ28E", "relative_url": "/video/multiplying-fractions-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-1", "duration": 276, "translated_title": "We must have eaten more pie!", "translated_description_html": "", "id": "x683d1719", "description_html": "", "title": "We must have eaten more pie!", "progress_key": "vx683d1719", "edit_slug": "edit/v/x683d1719", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.mp4/XDjbNykJ28E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDjbNykJ28E.m3u8/XDjbNykJ28E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDjbNykJ28E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx683d1719", "sha": "455c69a639262bbf84aaa9adec55787e1b618a3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/XDjbNykJ28E/hqdefault.jpg", "youtube_id": "XDjbNykJ28E", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-1"}, {"translated_youtube_id": "YJgIGwTysk0", "relative_url": "/video/multiplying-fractions-word-problem", "has_questions": false, "keywords": "U02_L2_T1_we4, Multiplying, Fractions, Word, Problem, CC_5_NF_6", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem", "duration": 219, "translated_title": "Making banana oat muffins...mmm", "translated_description_html": "Multiplying Fractions Word Problem", "id": "2600762", "description_html": "Multiplying Fractions Word Problem", "title": "Making banana oat muffins...mmm", "progress_key": "v2600762", "edit_slug": "edit/v/2600762", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Fractions Word Problem", "extra_properties": null, "node_slug": "v/multiplying-fractions-word-problem", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.m3u8/YJgIGwTysk0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YJgIGwTysk0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600762", "sha": "6235f9e231b55357df33080fa1fa2247ec320f28", "translated_description": "Multiplying Fractions Word Problem", "image_url": "https://img.youtube.com/vi/YJgIGwTysk0/hqdefault.jpg", "youtube_id": "YJgIGwTysk0", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem"}, {"translated_youtube_id": "KCehC_3CBBY", "relative_url": "/video/multiplying-fractions-word-problem-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-4", "duration": 80, "translated_title": "How much laundry detergent left?", "translated_description_html": "", "id": "xe872bdba", "description_html": "", "title": "How much laundry detergent left?", "progress_key": "vxe872bdba", "edit_slug": "edit/v/xe872bdba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.mp4/KCehC_3CBBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.mp4/KCehC_3CBBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KCehC_3CBBY.m3u8/KCehC_3CBBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KCehC_3CBBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe872bdba", "sha": "48636a764c6c5d7c357de31ac793de7bde339d22", "translated_description": "", "image_url": "https://img.youtube.com/vi/KCehC_3CBBY/hqdefault.jpg", "youtube_id": "KCehC_3CBBY", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-4"}, {"translated_youtube_id": "tfjQVtOyoaQ", "relative_url": "/video/multiplying-fractions-word-problem-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-word-problem-5", "duration": 231, "translated_title": "Biking to a friend", "translated_description_html": "", "id": "x6ac69445", "description_html": "", "title": "Biking to a friend", "progress_key": "vx6ac69445", "edit_slug": "edit/v/x6ac69445", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-fractions-word-problem-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-08T21:40:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.mp4/tfjQVtOyoaQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.mp4/tfjQVtOyoaQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tfjQVtOyoaQ.m3u8/tfjQVtOyoaQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tfjQVtOyoaQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6ac69445", "sha": "bfea2083794bb15f2078a2bd9507c17fab37db6f", "translated_description": "", "image_url": "https://img.youtube.com/vi/tfjQVtOyoaQ/hqdefault.jpg", "youtube_id": "tfjQVtOyoaQ", "content_kind": "Video", "readable_id": "multiplying-fractions-word-problem-5"}], "twitter_url": "", "translated_description": "Multiplying fractions is useful. Period. That's all we really have to say. Believe us don't believe us. You'll learn eventually. \n\nThis tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Multiplying fractions is useful. Period. That's all we really have to say. Believe us don't believe us. You'll learn eventually. \n\nThis tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).", "x_pos": 0.0, "node_slug": "multiplying-fractions-word-probl", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T21:44:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5f29860a", "topic_page_url": "/math/arithmetic/fractions/multiplying-fractions-word-probl", "extended_slug": "math/arithmetic/fractions/multiplying-fractions-word-probl", "slug": "multiplying-fractions-word-probl", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4a83cfd282a4c7889028a3bba52964163c59eea7", "standalone_title": "Multiplying fractions word problems", "y_pos": 0.0, "current_revision_key": "4a83cfd282a4c7889028a3bba52964163c59eea7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/mixed_numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/mixed_numbers", "translated_standalone_title": "Mixed numbers and improper fractions", "translated_title": "Mixed numbers and improper fractions", "gplus_url": "", "id": "x4949c90c", "old_key_name": "4w8zXMa1cA-ri9b5QaVKDyEi5wWwkzsa9gRS47wS", "hide": false, "title": "Mixed numbers and improper fractions", "child_data": [{"kind": "Video", "id": 915154307}, {"kind": "Video", "id": 23866}, {"kind": "Video", "id": 153746684}, {"kind": "Video", "id": 153746683}, {"kind": "Video", "id": 2600700}, {"kind": "Video", "id": 2600701}, {"kind": "Exercise", "id": 213328056}, {"kind": "Video", "id": "xf78b285e"}, {"kind": "Exercise", "id": 460972000}, {"kind": "Video", "id": 1254649774}, {"kind": "Exercise", "id": 497964681}, {"kind": "Exercise", "id": 498099631}, {"kind": "Video", "id": "x67dd1adb"}, {"kind": "Exercise", "id": 324869626}, {"kind": "Video", "id": 13179310}, {"kind": "Exercise", "id": 460969351}], "children": [{"translated_youtube_id": "R8YKuGJ0plI", "relative_url": "/video/comparing-improper-fractions-and-mixed-numbers", "has_questions": false, "keywords": "fraction, worked, examples", "ka_url": "http://www.khanacademy.org/video/comparing-improper-fractions-and-mixed-numbers", "duration": 294, "translated_title": "Comparing improper fractions and mixed numbers", "translated_description_html": "Worked examples comparing improper fractions and mixed numbers", "id": "915154307", "description_html": "Worked examples comparing improper fractions and mixed numbers", "title": "Comparing improper fractions and mixed numbers", "progress_key": "v915154307", "edit_slug": "edit/v/915154307", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked examples comparing improper fractions and mixed numbers", "extra_properties": null, "node_slug": "v/comparing-improper-fractions-and-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:05:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R8YKuGJ0plI.mp4/R8YKuGJ0plI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R8YKuGJ0plI.mp4/R8YKuGJ0plI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R8YKuGJ0plI.m3u8/R8YKuGJ0plI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R8YKuGJ0plI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915154307", "sha": "f05d9aad114458f922a5fd66cf15547e6dbb1b4b", "translated_description": "Worked examples comparing improper fractions and mixed numbers", "image_url": "https://img.youtube.com/vi/R8YKuGJ0plI/hqdefault.jpg", "youtube_id": "R8YKuGJ0plI", "content_kind": "Video", "readable_id": "comparing-improper-fractions-and-mixed-numbers"}, {"translated_youtube_id": "1xuf6ZKF1_I", "relative_url": "/video/mixed-numbers-and-improper-fractions", "has_questions": false, "keywords": "Mixed, Numbers, Improper, fractions, math", "ka_url": "http://www.khanacademy.org/video/mixed-numbers-and-improper-fractions", "duration": 553, "translated_title": "Mixed numbers and improper fractions", "translated_description_html": "Converting mixed numbers to improper fractions and improper fractions to mixed numbers", "id": "23866", "description_html": "Converting mixed numbers to improper fractions and improper fractions to mixed numbers", "title": "Mixed numbers and improper fractions", "progress_key": "v23866", "edit_slug": "edit/v/23866", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting mixed numbers to improper fractions and improper fractions to mixed numbers", "extra_properties": null, "node_slug": "v/mixed-numbers-and-improper-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1xuf6ZKF1_I.mp4/1xuf6ZKF1_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1xuf6ZKF1_I.mp4/1xuf6ZKF1_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1xuf6ZKF1_I.m3u8/1xuf6ZKF1_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1xuf6ZKF1_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23866", "sha": "3ab61ee8e9ece32ba1a3545bac6d7dd0f2cd8969", "translated_description": "Converting mixed numbers to improper fractions and improper fractions to mixed numbers", "image_url": "https://img.youtube.com/vi/1xuf6ZKF1_I/hqdefault.jpg", "youtube_id": "1xuf6ZKF1_I", "content_kind": "Video", "readable_id": "mixed-numbers-and-improper-fractions"}, {"translated_youtube_id": "2h8XiqSnzaU", "relative_url": "/video/proper-and-improper-fractions", "has_questions": false, "keywords": "u2_l1_t2_we1, Proper, and, Improper, Fractions, CC_3_G_2, CC_4_NF_4_a", "ka_url": "http://www.khanacademy.org/video/proper-and-improper-fractions", "duration": 101, "translated_title": "Proper and improper fractions", "translated_description_html": "Proper and Improper Fractions", "id": "153746684", "description_html": "Proper and Improper Fractions", "title": "Proper and improper fractions", "progress_key": "v153746684", "edit_slug": "edit/v/153746684", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proper and Improper Fractions", "extra_properties": null, "node_slug": "v/proper-and-improper-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-15T23:27:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2h8XiqSnzaU.mp4/2h8XiqSnzaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2h8XiqSnzaU.mp4/2h8XiqSnzaU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2h8XiqSnzaU.m3u8/2h8XiqSnzaU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2h8XiqSnzaU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153746684", "sha": "7be29955a0c86b841e27e4c52e28470fe9d9d300", "translated_description": "Proper and Improper Fractions", "image_url": "https://img.youtube.com/vi/2h8XiqSnzaU/hqdefault.jpg", "youtube_id": "2h8XiqSnzaU", "content_kind": "Video", "readable_id": "proper-and-improper-fractions"}, {"translated_youtube_id": "-sA-vI2a2mM", "relative_url": "/video/converting-mixed-numbers-to-improper-fractions", "has_questions": false, "keywords": "u2_l1_t2_we2, Converting, Mixed, Numbers, to, Improper, Fractions", "ka_url": "http://www.khanacademy.org/video/converting-mixed-numbers-to-improper-fractions", "duration": 266, "translated_title": "Converting mixed numbers to improper fractions", "translated_description_html": "Converting Mixed Numbers to Improper Fractions", "id": "153746683", "description_html": "Converting Mixed Numbers to Improper Fractions", "title": "Converting mixed numbers to improper fractions", "progress_key": "v153746683", "edit_slug": "edit/v/153746683", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Mixed Numbers to Improper Fractions", "extra_properties": null, "node_slug": "v/converting-mixed-numbers-to-improper-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-15T23:27:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-sA-vI2a2mM.mp4/-sA-vI2a2mM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-sA-vI2a2mM.mp4/-sA-vI2a2mM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-sA-vI2a2mM.m3u8/-sA-vI2a2mM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-sA-vI2a2mM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153746683", "sha": "376174204880a283af2fe2e888880e02dec48794", "translated_description": "Converting Mixed Numbers to Improper Fractions", "image_url": "https://img.youtube.com/vi/-sA-vI2a2mM/hqdefault.jpg", "youtube_id": "-sA-vI2a2mM", "content_kind": "Video", "readable_id": "converting-mixed-numbers-to-improper-fractions"}, {"translated_youtube_id": "xkg7370cpjs", "relative_url": "/video/changing-a-mixed-number-to-an-improper-fraction", "has_questions": false, "keywords": "U02_L1_T2_we2, Changing, Mixed, Number, to, an, Improper, Fraction", "ka_url": "http://www.khanacademy.org/video/changing-a-mixed-number-to-an-improper-fraction", "duration": 403, "translated_title": "Changing a mixed number to an improper fraction", "translated_description_html": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "id": "2600700", "description_html": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "title": "Changing a mixed number to an improper fraction", "progress_key": "v2600700", "edit_slug": "edit/v/2600700", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "extra_properties": null, "node_slug": "v/changing-a-mixed-number-to-an-improper-fraction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.m3u8/xkg7370cpjs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xkg7370cpjs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600700", "sha": "5aa138c9c9c1a2d0a5915f396d9c273ecaaa91fb", "translated_description": "U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction", "image_url": "https://img.youtube.com/vi/xkg7370cpjs/hqdefault.jpg", "youtube_id": "xkg7370cpjs", "content_kind": "Video", "readable_id": "changing-a-mixed-number-to-an-improper-fraction"}, {"translated_youtube_id": "8JyPzTeA_8w", "relative_url": "/video/changing-an-improper-fraction-to-a-mixed-number", "has_questions": false, "keywords": "U02_L1_T2_we3, Changing, an, Improper, Fraction, to, Mixed, Number, CC_4_NF_3_c", "ka_url": "http://www.khanacademy.org/video/changing-an-improper-fraction-to-a-mixed-number", "duration": 242, "translated_title": "Changing an improper fraction to a mixed number", "translated_description_html": "Changing an Improper Fraction to a Mixed Number", "id": "2600701", "description_html": "Changing an Improper Fraction to a Mixed Number", "title": "Changing an improper fraction to a mixed number", "progress_key": "v2600701", "edit_slug": "edit/v/2600701", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Changing an Improper Fraction to a Mixed Number", "extra_properties": null, "node_slug": "v/changing-an-improper-fraction-to-a-mixed-number", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.m3u8/8JyPzTeA_8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8JyPzTeA_8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600701", "sha": "fb73a5c429d8393c7a123a8338aec306fcedb83a", "translated_description": "Changing an Improper Fraction to a Mixed Number", "image_url": "https://img.youtube.com/vi/8JyPzTeA_8w/hqdefault.jpg", "youtube_id": "8JyPzTeA_8w", "content_kind": "Video", "readable_id": "changing-an-improper-fraction-to-a-mixed-number"}, {"translated_youtube_id": "g-SfwjbpA4U", "relative_url": "/video/postive-improper-fractions-on-the-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/postive-improper-fractions-on-the-number-line", "duration": 132, "translated_title": "Positive improper fractions on the number line", "translated_description_html": "", "id": "xf78b285e", "description_html": "", "title": "Positive improper fractions on the number line", "progress_key": "vxf78b285e", "edit_slug": "edit/v/xf78b285e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/postive-improper-fractions-on-the-number-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T18:00:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.mp4/g-SfwjbpA4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.mp4/g-SfwjbpA4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g-SfwjbpA4U.m3u8/g-SfwjbpA4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g-SfwjbpA4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf78b285e", "sha": "638592ffcfb0641922b09b38504cf1a9f496f35e", "translated_description": "", "image_url": "https://img.youtube.com/vi/g-SfwjbpA4U/hqdefault.jpg", "youtube_id": "g-SfwjbpA4U", "content_kind": "Video", "readable_id": "postive-improper-fractions-on-the-number-line"}, {"translated_youtube_id": "4Ql6o932ZFU", "relative_url": "/video/ordering-improper-fractions-and-mixed-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ordering-improper-fractions-and-mixed-numbers", "duration": 361, "translated_title": "Ordering improper fractions and mixed numbers", "translated_description_html": "Worked examples ordering mixed numbers and improper fractions", "id": "1254649774", "description_html": "Worked examples ordering mixed numbers and improper fractions", "title": "Ordering improper fractions and mixed numbers", "progress_key": "v1254649774", "edit_slug": "edit/v/1254649774", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked examples ordering mixed numbers and improper fractions", "extra_properties": null, "node_slug": "v/ordering-improper-fractions-and-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T01:30:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.mp4/4Ql6o932ZFU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.mp4/4Ql6o932ZFU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.m3u8/4Ql6o932ZFU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Ql6o932ZFU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254649774", "sha": "b33e5f41ba37806929ce9a546ce99d66185eb5cd", "translated_description": "Worked examples ordering mixed numbers and improper fractions", "image_url": "https://img.youtube.com/vi/4Ql6o932ZFU/hqdefault.jpg", "youtube_id": "4Ql6o932ZFU", "content_kind": "Video", "readable_id": "ordering-improper-fractions-and-mixed-numbers"}, {"translated_youtube_id": "ouAFk0Jy6TY", "relative_url": "/video/fractions-cut-and-copy-2-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractions-cut-and-copy-2-exercise-example", "duration": 194, "translated_title": "Fractions cut and copy 2 exercise example", "translated_description_html": "", "id": "x67dd1adb", "description_html": "", "title": "Fractions cut and copy 2 exercise example", "progress_key": "vx67dd1adb", "edit_slug": "edit/v/x67dd1adb", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fractions-cut-and-copy-2-exercise-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ouAFk0Jy6TY.mp4/ouAFk0Jy6TY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ouAFk0Jy6TY.mp4/ouAFk0Jy6TY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ouAFk0Jy6TY.m3u8/ouAFk0Jy6TY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ouAFk0Jy6TY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx67dd1adb", "sha": "fc50e179488cc44d922d40c4f001f00087ac1585", "translated_description": "", "image_url": "https://img.youtube.com/vi/ouAFk0Jy6TY/hqdefault.jpg", "youtube_id": "ouAFk0Jy6TY", "content_kind": "Video", "readable_id": "fractions-cut-and-copy-2-exercise-example"}, {"translated_youtube_id": "uC09taczvOo", "relative_url": "/video/points-on-a-number-line", "has_questions": false, "keywords": "U09_L1_T3_we2, Points, on, number, line, CC_2_MD_6, CC_3_NF_2, CC_3_NF_3_c, CC_4_NF_6, CC_6_NS_6, CC_6_NS_6_c, CC_6_NS_7_a", "ka_url": "http://www.khanacademy.org/video/points-on-a-number-line", "duration": 118, "translated_title": "Points on a number line", "translated_description_html": "Points on a number line", "id": "13179310", "description_html": "Points on a number line", "title": "Points on a number line", "progress_key": "v13179310", "edit_slug": "edit/v/13179310", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Points on a number line", "extra_properties": null, "node_slug": "v/points-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.mp4/uC09taczvOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uC09taczvOo.m3u8/uC09taczvOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uC09taczvOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179310", "sha": "90e074a501c29a5bda8155c9b6a2db2c3c4dd6ba", "translated_description": "Points on a number line", "image_url": "https://img.youtube.com/vi/uC09taczvOo/hqdefault.jpg", "youtube_id": "uC09taczvOo", "content_kind": "Video", "readable_id": "points-on-a-number-line"}], "twitter_url": "", "translated_description": "We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a \"proper fraction\" (one where the numerator is less than the denominator) which is called a \"mixed number.\" They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a \"proper fraction\" (one where the numerator is less than the denominator) which is called a \"mixed number.\" They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!", "x_pos": 0.0, "node_slug": "mixed_numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T18:05:07Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4949c90c", "topic_page_url": "/math/arithmetic/fractions/mixed_numbers", "extended_slug": "math/arithmetic/fractions/mixed_numbers", "slug": "mixed_numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "76cb76875157f06d4576c109df92341f79b52827", "standalone_title": "Mixed numbers and improper fractions", "y_pos": 0.0, "current_revision_key": "76cb76875157f06d4576c109df92341f79b52827", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/Mixed_number_add_sub", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/Mixed_number_add_sub", "translated_standalone_title": "Mixed number addition and subtraction", "translated_title": "Mixed number addition and subtraction", "gplus_url": "", "id": "xcc797d81", "old_key_name": "UlPVzJmy43fmlbYj0j1QAe6JZN7WWJ4wqDImR1ZZ", "hide": false, "title": "Mixed number addition and subtraction", "child_data": [{"kind": "Video", "id": 2600770}, {"kind": "Video", "id": 2600771}, {"kind": "Video", "id": 2600772}, {"kind": "Video", "id": 2600774}, {"kind": "Video", "id": 2600775}, {"kind": "Video", "id": 2600776}, {"kind": "Video", "id": 915206106}, {"kind": "Video", "id": 915126178}, {"kind": "Exercise", "id": 460926478}, {"kind": "Video", "id": 915061485}, {"kind": "Video", "id": 915104659}, {"kind": "Exercise", "id": 274942887}], "children": [{"translated_youtube_id": "4TBVB4hLQhY", "relative_url": "/video/adding-mixed-numbers", "has_questions": false, "keywords": "U02_L3_T1_we3, Adding, Mixed, Numbers, CC_4_MD_2, CC_4_NF_3_b, CC_4_NF_3_d", "ka_url": "http://www.khanacademy.org/video/adding-mixed-numbers", "duration": 126, "translated_title": "Adding mixed numbers", "translated_description_html": "Adding Mixed Numbers", "id": "2600770", "description_html": "Adding Mixed Numbers", "title": "Adding mixed numbers", "progress_key": "v2600770", "edit_slug": "edit/v/2600770", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Mixed Numbers", "extra_properties": null, "node_slug": "v/adding-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4TBVB4hLQhY.mp4/4TBVB4hLQhY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4TBVB4hLQhY.mp4/4TBVB4hLQhY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4TBVB4hLQhY.m3u8/4TBVB4hLQhY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4TBVB4hLQhY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600770", "sha": "2845a3c6942865c07e656889d6e2ee7afa82a215", "translated_description": "Adding Mixed Numbers", "image_url": "https://img.youtube.com/vi/4TBVB4hLQhY/hqdefault.jpg", "youtube_id": "4TBVB4hLQhY", "content_kind": "Video", "readable_id": "adding-mixed-numbers"}, {"translated_youtube_id": "CfBYGFm5gPA", "relative_url": "/video/adding-mixed-numbers-with-unlike-denominators", "has_questions": false, "keywords": "U02_L3_T1_we4, Adding, Mixed, Numbers, with, Unlike, Denominators, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-mixed-numbers-with-unlike-denominators", "duration": 316, "translated_title": "Adding mixed numbers with unlike denominators", "translated_description_html": "Adding Mixed Numbers with Unlike Denominators", "id": "2600771", "description_html": "Adding Mixed Numbers with Unlike Denominators", "title": "Adding mixed numbers with unlike denominators", "progress_key": "v2600771", "edit_slug": "edit/v/2600771", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Mixed Numbers with Unlike Denominators", "extra_properties": null, "node_slug": "v/adding-mixed-numbers-with-unlike-denominators", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CfBYGFm5gPA.mp4/CfBYGFm5gPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CfBYGFm5gPA.mp4/CfBYGFm5gPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CfBYGFm5gPA.m3u8/CfBYGFm5gPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CfBYGFm5gPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600771", "sha": "7263a1cf8c7448806728c2a7c85d4aed37ae8261", "translated_description": "Adding Mixed Numbers with Unlike Denominators", "image_url": "https://img.youtube.com/vi/CfBYGFm5gPA/hqdefault.jpg", "youtube_id": "CfBYGFm5gPA", "content_kind": "Video", "readable_id": "adding-mixed-numbers-with-unlike-denominators"}, {"translated_youtube_id": "o0arqcKC7QE", "relative_url": "/video/adding-mixed-numbers-word-problem", "has_questions": false, "keywords": "U02_L3_T1_we5, Adding, Mixed, Numbers, Word, Problem, CC_4_MD_2, CC_4_NF_3_b, CC_4_NF_3_d, CC_5_NF_1, CC_5_NF_2", "ka_url": "http://www.khanacademy.org/video/adding-mixed-numbers-word-problem", "duration": 202, "translated_title": "Adding mixed numbers word problem", "translated_description_html": "Adding Mixed Numbers Word Problem", "id": "2600772", "description_html": "Adding Mixed Numbers Word Problem", "title": "Adding mixed numbers word problem", "progress_key": "v2600772", "edit_slug": "edit/v/2600772", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Mixed Numbers Word Problem", "extra_properties": null, "node_slug": "v/adding-mixed-numbers-word-problem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o0arqcKC7QE.mp4/o0arqcKC7QE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o0arqcKC7QE.mp4/o0arqcKC7QE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o0arqcKC7QE.m3u8/o0arqcKC7QE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o0arqcKC7QE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600772", "sha": "4f807a8fe9ad5fb041f4a2505518ab60aa5e0ae7", "translated_description": "Adding Mixed Numbers Word Problem", "image_url": "https://img.youtube.com/vi/o0arqcKC7QE/hqdefault.jpg", "youtube_id": "o0arqcKC7QE", "content_kind": "Video", "readable_id": "adding-mixed-numbers-word-problem"}, {"translated_youtube_id": "WF7L2waDwLw", "relative_url": "/video/subtracting-mixed-numbers", "has_questions": false, "keywords": "U02_L3_T2_we2, Subtracting, Mixed, Numbers, CC_4_NF_3_c, CC_5_NF_1", "ka_url": "http://www.khanacademy.org/video/subtracting-mixed-numbers", "duration": 239, "translated_title": "Subtracting mixed numbers", "translated_description_html": "Subtracting Mixed Numbers", "id": "2600774", "description_html": "Subtracting Mixed Numbers", "title": "Subtracting mixed numbers", "progress_key": "v2600774", "edit_slug": "edit/v/2600774", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Mixed Numbers", "extra_properties": null, "node_slug": "v/subtracting-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WF7L2waDwLw.mp4/WF7L2waDwLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WF7L2waDwLw.mp4/WF7L2waDwLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WF7L2waDwLw.m3u8/WF7L2waDwLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WF7L2waDwLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600774", "sha": "7dbef0462f64da4fd50a638081d0916238fa58b4", "translated_description": "Subtracting Mixed Numbers", "image_url": "https://img.youtube.com/vi/WF7L2waDwLw/hqdefault.jpg", "youtube_id": "WF7L2waDwLw", "content_kind": "Video", "readable_id": "subtracting-mixed-numbers"}, {"translated_youtube_id": "4LYtLMmDuzw", "relative_url": "/video/subtracting-mixed-numbers-2", "has_questions": false, "keywords": "U02_L3_T2_we3, Subtracting, Mixed, Numbers, CC_4_NF_3_c, CC_5_NF_1", "ka_url": "http://www.khanacademy.org/video/subtracting-mixed-numbers-2", "duration": 294, "translated_title": "Subtracting mixed numbers 2", "translated_description_html": "Subtracting Mixed Numbers 2", "id": "2600775", "description_html": "Subtracting Mixed Numbers 2", "title": "Subtracting mixed numbers 2", "progress_key": "v2600775", "edit_slug": "edit/v/2600775", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Mixed Numbers 2", "extra_properties": null, "node_slug": "v/subtracting-mixed-numbers-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4LYtLMmDuzw.mp4/4LYtLMmDuzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4LYtLMmDuzw.mp4/4LYtLMmDuzw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4LYtLMmDuzw.m3u8/4LYtLMmDuzw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4LYtLMmDuzw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600775", "sha": "d9d7a5ee82876f54987e3aa92fd9f437d1ebeff7", "translated_description": "Subtracting Mixed Numbers 2", "image_url": "https://img.youtube.com/vi/4LYtLMmDuzw/hqdefault.jpg", "youtube_id": "4LYtLMmDuzw", "content_kind": "Video", "readable_id": "subtracting-mixed-numbers-2"}, {"translated_youtube_id": "tj9oLZYA-AQ", "relative_url": "/video/subtracting-mixed-numbers-word-problem", "has_questions": false, "keywords": "U02_L3_T2_we4, Subtracting, Mixed, Numbers, Word, Problem, CC_4_NF_3_c, CC_5_NF_1", "ka_url": "http://www.khanacademy.org/video/subtracting-mixed-numbers-word-problem", "duration": 281, "translated_title": "Subtracting mixed numbers word problem", "translated_description_html": "Subtracting Mixed Numbers Word Problem", "id": "2600776", "description_html": "Subtracting Mixed Numbers Word Problem", "title": "Subtracting mixed numbers word problem", "progress_key": "v2600776", "edit_slug": "edit/v/2600776", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Mixed Numbers Word Problem", "extra_properties": null, "node_slug": "v/subtracting-mixed-numbers-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tj9oLZYA-AQ.mp4/tj9oLZYA-AQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tj9oLZYA-AQ.mp4/tj9oLZYA-AQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tj9oLZYA-AQ.m3u8/tj9oLZYA-AQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tj9oLZYA-AQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600776", "sha": "814bc651ba4e9cf279e0d0e4c2555e164eea71bd", "translated_description": "Subtracting Mixed Numbers Word Problem", "image_url": "https://img.youtube.com/vi/tj9oLZYA-AQ/hqdefault.jpg", "youtube_id": "tj9oLZYA-AQ", "content_kind": "Video", "readable_id": "subtracting-mixed-numbers-word-problem"}, {"translated_youtube_id": "EGy1W24EPEI", "relative_url": "/video/adding-subtracting-mixed-numbers-0-5--ex-1", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 0, 5, ex, 1", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-0-5--ex-1", "duration": 95, "translated_title": "Adding mixed numbers with like denominators", "translated_description_html": "

Adding and subtracting mixed numbers 0.5 (ex 1)<\/p>\n", "id": "915206106", "description_html": "

Adding and subtracting mixed numbers 0.5 (ex 1)<\/p>\n", "title": "Adding mixed numbers with like denominators", "progress_key": "v915206106", "edit_slug": "edit/v/915206106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and subtracting mixed numbers 0.5 (ex 1)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-0-5--ex-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-07-23T22:02:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.m3u8/EGy1W24EPEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EGy1W24EPEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915206106", "sha": "57a2fea4a4cee31cd9dc1931bd34901cbfd921a7", "translated_description": "Adding and subtracting mixed numbers 0.5 (ex 1)\n", "image_url": "https://img.youtube.com/vi/EGy1W24EPEI/hqdefault.jpg", "youtube_id": "EGy1W24EPEI", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-0-5--ex-1"}, {"translated_youtube_id": "q19UnHEofOA", "relative_url": "/video/adding-subtracting-mixed-numbers-0-5--ex-2", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 0, 5, ex, 2", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-0-5--ex-2", "duration": 151, "translated_title": "Subtracting mixed numbers with like denominators", "translated_description_html": "

Adding and subtracting mixed numbers 0.5 (ex 2)<\/p>\n", "id": "915126178", "description_html": "

Adding and subtracting mixed numbers 0.5 (ex 2)<\/p>\n", "title": "Subtracting mixed numbers with like denominators", "progress_key": "v915126178", "edit_slug": "edit/v/915126178", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and subtracting mixed numbers 0.5 (ex 2)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-0-5--ex-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:02:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.m3u8/q19UnHEofOA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q19UnHEofOA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915126178", "sha": "9ef14128fe231a6036a628090f285589660b0549", "translated_description": "Adding and subtracting mixed numbers 0.5 (ex 2)\n", "image_url": "https://img.youtube.com/vi/q19UnHEofOA/hqdefault.jpg", "youtube_id": "q19UnHEofOA", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-0-5--ex-2"}, {"translated_youtube_id": "8Eb5MWwcMMY", "relative_url": "/video/adding-subtracting-mixed-numbers-1--ex-1", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 1, ex", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-1--ex-1", "duration": 141, "translated_title": "Adding and subtracting mixed numbers 1 (ex 1)", "translated_description_html": "

Adding and subtracting mixed numbers 1 (ex 1)<\/p>\n", "id": "915061485", "description_html": "

Adding and subtracting mixed numbers 1 (ex 1)<\/p>\n", "title": "Adding and subtracting mixed numbers 1 (ex 1)", "progress_key": "v915061485", "edit_slug": "edit/v/915061485", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and subtracting mixed numbers 1 (ex 1)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-1--ex-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-07-23T22:03:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Eb5MWwcMMY.mp4/8Eb5MWwcMMY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Eb5MWwcMMY.mp4/8Eb5MWwcMMY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Eb5MWwcMMY.m3u8/8Eb5MWwcMMY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Eb5MWwcMMY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915061485", "sha": "89ef5f58b8a2889b73b2b8b9f0e406f1cb49ab67", "translated_description": "Adding and subtracting mixed numbers 1 (ex 1)\n", "image_url": "https://img.youtube.com/vi/8Eb5MWwcMMY/hqdefault.jpg", "youtube_id": "8Eb5MWwcMMY", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-1--ex-1"}, {"translated_youtube_id": "_btQus9HV_I", "relative_url": "/video/adding-subtracting-mixed-numbers-1--ex-2", "has_questions": false, "keywords": "Adding, subtracting, mixed, numbers, 1, ex, 2", "ka_url": "http://www.khanacademy.org/video/adding-subtracting-mixed-numbers-1--ex-2", "duration": 151, "translated_title": "Adding and subtracting mixed numbers 1 (ex 2)", "translated_description_html": "

Adding subtracting mixed numbers 1 (ex 2)<\/p>\n", "id": "915104659", "description_html": "

Adding subtracting mixed numbers 1 (ex 2)<\/p>\n", "title": "Adding and subtracting mixed numbers 1 (ex 2)", "progress_key": "v915104659", "edit_slug": "edit/v/915104659", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding subtracting mixed numbers 1 (ex 2)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/adding-subtracting-mixed-numbers-1--ex-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-07-23T22:03:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_btQus9HV_I.mp4/_btQus9HV_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_btQus9HV_I.mp4/_btQus9HV_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_btQus9HV_I.m3u8/_btQus9HV_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_btQus9HV_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915104659", "sha": "04852ffcbb77bfdcab1e3a4245e888bb6ca9dade", "translated_description": "Adding subtracting mixed numbers 1 (ex 2)\n", "image_url": "https://img.youtube.com/vi/_btQus9HV_I/hqdefault.jpg", "youtube_id": "_btQus9HV_I", "content_kind": "Video", "readable_id": "adding-subtracting-mixed-numbers-1--ex-2"}], "twitter_url": "", "translated_description": "You know the basics of what mixed numbers are. You're now ready to add and subtract them. This tutorial gives you plenty of examples and practice in this core skill!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know the basics of what mixed numbers are. You're now ready to add and subtract them. This tutorial gives you plenty of examples and practice in this core skill!", "x_pos": 0.0, "node_slug": "Mixed_number_add_sub", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcc797d81", "topic_page_url": "/math/arithmetic/fractions/Mixed_number_add_sub", "extended_slug": "math/arithmetic/fractions/Mixed_number_add_sub", "slug": "Mixed_number_add_sub", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1f71dd60432786f0b821f86d6f8c4df53e4a9cbf", "standalone_title": "Mixed number addition and subtraction", "y_pos": 0.0, "current_revision_key": "1f71dd60432786f0b821f86d6f8c4df53e4a9cbf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/mixed_number_mult_div", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/mixed_number_mult_div", "translated_standalone_title": "Mixed number multiplication and division", "translated_title": "Mixed number multiplication and division", "gplus_url": "", "id": "x0696bfbf", "old_key_name": "IbCVSjBR2PVf3z_C1qW-fSIXbSD_uh_FfC4NY2dn", "hide": false, "title": "Mixed number multiplication and division", "child_data": [{"kind": "Video", "id": 2600761}, {"kind": "Video", "id": 2600760}, {"kind": "Exercise", "id": 498117097}, {"kind": "Video", "id": 2600763}, {"kind": "Video", "id": 2600765}, {"kind": "Video", "id": 2600766}], "children": [{"translated_youtube_id": "p729tFmpOXg", "relative_url": "/video/multiplying-fractions-and-mixed-numbers", "has_questions": false, "keywords": "U02_L2_T1_we2, Multiplying, Fractions, and, Mixed, Numbers, CC_5_NF_6", "ka_url": "http://www.khanacademy.org/video/multiplying-fractions-and-mixed-numbers", "duration": 243, "translated_title": "Multiplying fractions and mixed numbers", "translated_description_html": "Multiplying Fractions and Mixed Numbers", "id": "2600761", "description_html": "Multiplying Fractions and Mixed Numbers", "title": "Multiplying fractions and mixed numbers", "progress_key": "v2600761", "edit_slug": "edit/v/2600761", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Fractions and Mixed Numbers", "extra_properties": null, "node_slug": "v/multiplying-fractions-and-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p729tFmpOXg.mp4/p729tFmpOXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p729tFmpOXg.mp4/p729tFmpOXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p729tFmpOXg.m3u8/p729tFmpOXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p729tFmpOXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600761", "sha": "cd800346876972d37b8dc026abcb9ace5f690930", "translated_description": "Multiplying Fractions and Mixed Numbers", "image_url": "https://img.youtube.com/vi/p729tFmpOXg/hqdefault.jpg", "youtube_id": "p729tFmpOXg", "content_kind": "Video", "readable_id": "multiplying-fractions-and-mixed-numbers"}, {"translated_youtube_id": "RPhaidW0dmY", "relative_url": "/video/multiplying--mixed-numbers", "has_questions": false, "keywords": "U02_L2_T1_we3, Multiplying, Mixed, Numbers, CC_5_NF_6", "ka_url": "http://www.khanacademy.org/video/multiplying--mixed-numbers", "duration": 261, "translated_title": "Multiplying mixed numbers", "translated_description_html": "Multiplying Mixed Numbers", "id": "2600760", "description_html": "Multiplying Mixed Numbers", "title": "Multiplying mixed numbers", "progress_key": "v2600760", "edit_slug": "edit/v/2600760", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Mixed Numbers", "extra_properties": null, "node_slug": "v/multiplying--mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RPhaidW0dmY.mp4/RPhaidW0dmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RPhaidW0dmY.mp4/RPhaidW0dmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RPhaidW0dmY.m3u8/RPhaidW0dmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RPhaidW0dmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600760", "sha": "6751403e50d7e30768bb7c7cab0e947f449661ed", "translated_description": "Multiplying Mixed Numbers", "image_url": "https://img.youtube.com/vi/RPhaidW0dmY/hqdefault.jpg", "youtube_id": "RPhaidW0dmY", "content_kind": "Video", "readable_id": "multiplying--mixed-numbers"}, {"translated_youtube_id": "6YYiiixYz9A", "relative_url": "/video/reciprocal-of-a-mixed-number", "has_questions": false, "keywords": "U02_L2_T3_we1, Reciprocal, of, Mixed, Number, CC_5_NF_6, CC_6_NS_1", "ka_url": "http://www.khanacademy.org/video/reciprocal-of-a-mixed-number", "duration": 101, "translated_title": "Reciprocal of a mixed number", "translated_description_html": "Reciprocal of a Mixed Number", "id": "2600763", "description_html": "Reciprocal of a Mixed Number", "title": "Reciprocal of a mixed number", "progress_key": "v2600763", "edit_slug": "edit/v/2600763", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Reciprocal of a Mixed Number", "extra_properties": null, "node_slug": "v/reciprocal-of-a-mixed-number", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6YYiiixYz9A.mp4/6YYiiixYz9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6YYiiixYz9A.mp4/6YYiiixYz9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6YYiiixYz9A.m3u8/6YYiiixYz9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6YYiiixYz9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600763", "sha": "0f3af5a8836742aa131823bffa27701006bc105a", "translated_description": "Reciprocal of a Mixed Number", "image_url": "https://img.youtube.com/vi/6YYiiixYz9A/hqdefault.jpg", "youtube_id": "6YYiiixYz9A", "content_kind": "Video", "readable_id": "reciprocal-of-a-mixed-number"}, {"translated_youtube_id": "51-U-Jkq79A", "relative_url": "/video/dividing-mixed-numbers", "has_questions": false, "keywords": "U02_L2_T3_we3, Dividing, Mixed, Numbers, CC_6_NS_1", "ka_url": "http://www.khanacademy.org/video/dividing-mixed-numbers", "duration": 161, "translated_title": "Dividing mixed numbers", "translated_description_html": "Dividing Mixed Numbers", "id": "2600765", "description_html": "Dividing Mixed Numbers", "title": "Dividing mixed numbers", "progress_key": "v2600765", "edit_slug": "edit/v/2600765", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Mixed Numbers", "extra_properties": null, "node_slug": "v/dividing-mixed-numbers", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/51-U-Jkq79A.mp4/51-U-Jkq79A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/51-U-Jkq79A.mp4/51-U-Jkq79A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/51-U-Jkq79A.m3u8/51-U-Jkq79A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=51-U-Jkq79A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600765", "sha": "8df5cc5fce63d896a7918d91d08be56dfade59b9", "translated_description": "Dividing Mixed Numbers", "image_url": "https://img.youtube.com/vi/51-U-Jkq79A/hqdefault.jpg", "youtube_id": "51-U-Jkq79A", "content_kind": "Video", "readable_id": "dividing-mixed-numbers"}, {"translated_youtube_id": "aNeCGxJVG7w", "relative_url": "/video/dividing-mixed-numbers-and-fractions", "has_questions": false, "keywords": "U02_L2_T3_we4, Dividing, Mixed, Numbers, and, Fractions, CC_5_NF_7, CC_6_NS_1", "ka_url": "http://www.khanacademy.org/video/dividing-mixed-numbers-and-fractions", "duration": 202, "translated_title": "Dividing mixed numbers and fractions", "translated_description_html": "Dividing Mixed Numbers and Fractions", "id": "2600766", "description_html": "Dividing Mixed Numbers and Fractions", "title": "Dividing mixed numbers and fractions", "progress_key": "v2600766", "edit_slug": "edit/v/2600766", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Mixed Numbers and Fractions", "extra_properties": null, "node_slug": "v/dividing-mixed-numbers-and-fractions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aNeCGxJVG7w.mp4/aNeCGxJVG7w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aNeCGxJVG7w.mp4/aNeCGxJVG7w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aNeCGxJVG7w.m3u8/aNeCGxJVG7w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aNeCGxJVG7w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600766", "sha": "7d638c0f45b84823a1e28aa0bfde56e4cb96f2e6", "translated_description": "Dividing Mixed Numbers and Fractions", "image_url": "https://img.youtube.com/vi/aNeCGxJVG7w/hqdefault.jpg", "youtube_id": "aNeCGxJVG7w", "content_kind": "Video", "readable_id": "dividing-mixed-numbers-and-fractions"}], "twitter_url": "", "translated_description": "My recipe calls for a cup and a half of blueberries and serves 10 people. But I have 23 people coming over. How many cups of blueberries do I need?\n\nYou know that mixed numbers and improper fractions are two sides of the same coin (and you can convert between the two). In this tutorial we'll learn to multiply and divide mixed numbers (mainly by converting them into improper fractions first).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "My recipe calls for a cup and a half of blueberries and serves 10 people. But I have 23 people coming over. How many cups of blueberries do I need?\n\nYou know that mixed numbers and improper fractions are two sides of the same coin (and you can convert between the two). In this tutorial we'll learn to multiply and divide mixed numbers (mainly by converting them into improper fractions first).", "x_pos": 0.0, "node_slug": "mixed_number_mult_div", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0696bfbf", "topic_page_url": "/math/arithmetic/fractions/mixed_number_mult_div", "extended_slug": "math/arithmetic/fractions/mixed_number_mult_div", "slug": "mixed_number_mult_div", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "615c9d1bc3cee2f7219011c527c33fa936233c0b", "standalone_title": "Mixed number multiplication and division", "y_pos": 0.0, "current_revision_key": "615c9d1bc3cee2f7219011c527c33fa936233c0b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/decimals_fractions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/decimals_fractions", "translated_standalone_title": "Decimals and fractions", "translated_title": "Decimals and fractions", "gplus_url": "", "id": "x2c91e230", "old_key_name": "vksw8FGs2wy7VRqqE7QIIiRGLQyx-3nS-KrhH-pE", "hide": false, "title": "Decimals and fractions", "child_data": [{"kind": "Video", "id": 1806}, {"kind": "Video", "id": 158925085}, {"kind": "Video", "id": 915084910}, {"kind": "Video", "id": 915095642}, {"kind": "Exercise", "id": 245552066}, {"kind": "Video", "id": 23852}, {"kind": "Video", "id": 4802232}, {"kind": "Video", "id": 4802231}, {"kind": "Video", "id": 915208238}, {"kind": "Video", "id": 914994686}, {"kind": "Video", "id": 915122530}, {"kind": "Exercise", "id": 231802990}, {"kind": "Video", "id": 915110987}, {"kind": "Video", "id": 915169407}, {"kind": "Exercise", "id": 231856074}, {"kind": "Video", "id": 547365605}, {"kind": "Exercise", "id": 3019}, {"kind": "Video", "id": "xa06e19a6"}, {"kind": "Exercise", "id": "x4faf4059"}], "children": [{"translated_youtube_id": "NzIoHQfStoM", "relative_url": "/video/decimals-and-fractions", "has_questions": false, "keywords": "U03_L1_T1_we3, Decimals, and, Fractions, CC_4_NF_6", "ka_url": "http://www.khanacademy.org/video/decimals-and-fractions", "duration": 162, "translated_title": "Decimals and fractions", "translated_description_html": "Decimals and Fractions", "id": "1806", "description_html": "Decimals and Fractions", "title": "Decimals and fractions", "progress_key": "v1806", "edit_slug": "edit/v/1806", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Decimals and Fractions", "extra_properties": null, "node_slug": "v/decimals-and-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.m3u8/NzIoHQfStoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NzIoHQfStoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1806", "sha": "936909f0c7ac771c5704b0605a3d533423aba644", "translated_description": "Decimals and Fractions", "image_url": "https://img.youtube.com/vi/NzIoHQfStoM/hqdefault.jpg", "youtube_id": "NzIoHQfStoM", "content_kind": "Video", "readable_id": "decimals-and-fractions"}, {"translated_youtube_id": "Y1V5mZaMfTk", "relative_url": "/video/converting-fractions-to-decimals-example", "has_questions": false, "keywords": "u03_l1_t1_we4, Converting, Fractions, to, Decimals", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals-example", "duration": 137, "translated_title": "Converting fractions to decimals example", "translated_description_html": "Converting Fractions to Decimals", "id": "158925085", "description_html": "Converting Fractions to Decimals", "title": "Converting fractions to decimals example", "progress_key": "v158925085", "edit_slug": "edit/v/158925085", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Fractions to Decimals", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals-example", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-18T23:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.m3u8/Y1V5mZaMfTk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y1V5mZaMfTk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158925085", "sha": "56fd5f9e7807ad35ad74962cc59cf85a881ed790", "translated_description": "Converting Fractions to Decimals", "image_url": "https://img.youtube.com/vi/Y1V5mZaMfTk/hqdefault.jpg", "youtube_id": "Y1V5mZaMfTk", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals-example"}, {"translated_youtube_id": "NM8qTo361ic", "relative_url": "/video/converting-fractions-to-decimals--ex1", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex1", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex1", "duration": 195, "translated_title": "Converting fractions to decimals (ex1)", "translated_description_html": "Converting fractions to decimals (ex1)", "id": "915084910", "description_html": "Converting fractions to decimals (ex1)", "title": "Converting fractions to decimals (ex1)", "progress_key": "v915084910", "edit_slug": "edit/v/915084910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting fractions to decimals (ex1)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:21:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.mp4/NM8qTo361ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NM8qTo361ic.m3u8/NM8qTo361ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NM8qTo361ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915084910", "sha": "3a771b98e23bea687d72258c517baeb16dc8cf91", "translated_description": "Converting fractions to decimals (ex1)", "image_url": "https://img.youtube.com/vi/NM8qTo361ic/hqdefault.jpg", "youtube_id": "NM8qTo361ic", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex1"}, {"translated_youtube_id": "sCVyvfOLI6U", "relative_url": "/video/converting-fractions-to-decimals--ex2", "has_questions": false, "keywords": "Converting, fractions, to, decimals, ex2", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals--ex2", "duration": 93, "translated_title": "Converting fractions to decimals (ex2)", "translated_description_html": "Converting fractions to decimals (ex2)", "id": "915095642", "description_html": "Converting fractions to decimals (ex2)", "title": "Converting fractions to decimals (ex2)", "progress_key": "v915095642", "edit_slug": "edit/v/915095642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Converting fractions to decimals (ex2)", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals--ex2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:22:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.mp4/sCVyvfOLI6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sCVyvfOLI6U.m3u8/sCVyvfOLI6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sCVyvfOLI6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915095642", "sha": "bd20cf0f11f99fa9792a80b85c851e83b0e963ee", "translated_description": "Converting fractions to decimals (ex2)", "image_url": "https://img.youtube.com/vi/sCVyvfOLI6U/hqdefault.jpg", "youtube_id": "sCVyvfOLI6U", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals--ex2"}, {"translated_youtube_id": "Gn2pdkvdbGQ", "relative_url": "/video/converting-fractions-to-decimals", "has_questions": false, "keywords": "fraction, decimal, math, khan, academy, CC_4_NF_6", "ka_url": "http://www.khanacademy.org/video/converting-fractions-to-decimals", "duration": 563, "translated_title": "Converting fractions to decimals", "translated_description_html": "How to express a fraction as a decimal", "id": "23852", "description_html": "How to express a fraction as a decimal", "title": "Converting fractions to decimals", "progress_key": "v23852", "edit_slug": "edit/v/23852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to express a fraction as a decimal", "extra_properties": null, "node_slug": "v/converting-fractions-to-decimals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:30:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.m3u8/Gn2pdkvdbGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gn2pdkvdbGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23852", "sha": "70734ab96ff13c163d68f56da8dfa794385a0af1", "translated_description": "How to express a fraction as a decimal", "image_url": "https://img.youtube.com/vi/Gn2pdkvdbGQ/hqdefault.jpg", "youtube_id": "Gn2pdkvdbGQ", "content_kind": "Video", "readable_id": "converting-fractions-to-decimals"}, {"translated_youtube_id": "Hkwfibux88s", "relative_url": "/video/representing-a-number-as-a-decimal--percent--and-fraction-2", "has_questions": false, "keywords": "percent, and fraction 2, CC_5_NF_3, CC_7_EE_3, CC_7_NS_2_d", "ka_url": "http://www.khanacademy.org/video/representing-a-number-as-a-decimal--percent--and-fraction-2", "duration": 325, "translated_title": "Representing a number as a decimal, percent, and fraction 2", "translated_description_html": "Representing a number as a decimal, percent, and fraction 2", "id": "4802232", "description_html": "Representing a number as a decimal, percent, and fraction 2", "title": "Representing a number as a decimal, percent, and fraction 2", "progress_key": "v4802232", "edit_slug": "edit/v/4802232", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Representing a number as a decimal, percent, and fraction 2", "extra_properties": null, "node_slug": "v/representing-a-number-as-a-decimal--percent--and-fraction-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.m3u8/Hkwfibux88s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hkwfibux88s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802232", "sha": "f5955c914fe081cf3552075592bb29f60e09962c", "translated_description": "Representing a number as a decimal, percent, and fraction 2", "image_url": "https://img.youtube.com/vi/Hkwfibux88s/hqdefault.jpg", "youtube_id": "Hkwfibux88s", "content_kind": "Video", "readable_id": "representing-a-number-as-a-decimal--percent--and-fraction-2"}, {"translated_youtube_id": "-gB1y-PMWfs", "relative_url": "/video/representing-a-number-as-a-decimal--percent--and-fraction", "has_questions": false, "keywords": "percent, and fraction", "ka_url": "http://www.khanacademy.org/video/representing-a-number-as-a-decimal--percent--and-fraction", "duration": 212, "translated_title": "Representing a number as a decimal, percent, and fraction", "translated_description_html": "Representing a number as a decimal, percent, and fraction", "id": "4802231", "description_html": "Representing a number as a decimal, percent, and fraction", "title": "Representing a number as a decimal, percent, and fraction", "progress_key": "v4802231", "edit_slug": "edit/v/4802231", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Representing a number as a decimal, percent, and fraction", "extra_properties": null, "node_slug": "v/representing-a-number-as-a-decimal--percent--and-fraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.m3u8/-gB1y-PMWfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-gB1y-PMWfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802231", "sha": "ce4da5afff9faa62fda8bf08afb566d65cc779b3", "translated_description": "Representing a number as a decimal, percent, and fraction", "image_url": "https://img.youtube.com/vi/-gB1y-PMWfs/hqdefault.jpg", "youtube_id": "-gB1y-PMWfs", "content_kind": "Video", "readable_id": "representing-a-number-as-a-decimal--percent--and-fraction"}, {"translated_youtube_id": "DR2DYe7PI74", "relative_url": "/video/converting-decimals-to-fractions-1--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-1", "duration": 116, "translated_title": "Converting decimals to fractions 1 (ex 1)", "translated_description_html": "", "id": "915208238", "description_html": "", "title": "Converting decimals to fractions 1 (ex 1)", "progress_key": "v915208238", "edit_slug": "edit/v/915208238", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-23T22:19:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.mp4/DR2DYe7PI74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DR2DYe7PI74.m3u8/DR2DYe7PI74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DR2DYe7PI74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915208238", "sha": "01e0b4594569abaff285574c3d225e256a2008c4", "translated_description": "", "image_url": "https://img.youtube.com/vi/DR2DYe7PI74/hqdefault.jpg", "youtube_id": "DR2DYe7PI74", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-1"}, {"translated_youtube_id": "9P80OLC6wKY", "relative_url": "/video/converting-decimals-to-fractions-1--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 2", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-2", "duration": 53, "translated_title": "Converting decimals to fractions 1 (ex 2)", "translated_description_html": "", "id": "914994686", "description_html": "", "title": "Converting decimals to fractions 1 (ex 2)", "progress_key": "v914994686", "edit_slug": "edit/v/914994686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-07-23T22:20:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.mp4/9P80OLC6wKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9P80OLC6wKY.m3u8/9P80OLC6wKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9P80OLC6wKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v914994686", "sha": "10d5da6c1140937fb18862c823bb81452068f07c", "translated_description": "", "image_url": "https://img.youtube.com/vi/9P80OLC6wKY/hqdefault.jpg", "youtube_id": "9P80OLC6wKY", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-2"}, {"translated_youtube_id": "OS1g4PDdNdM", "relative_url": "/video/converting-decimals-to-fractions-1--ex-3", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 1, ex, 3", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-1--ex-3", "duration": 74, "translated_title": "Converting decimals to fractions 1 (ex 3)", "translated_description_html": "", "id": "915122530", "description_html": "", "title": "Converting decimals to fractions 1 (ex 3)", "progress_key": "v915122530", "edit_slug": "edit/v/915122530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-1--ex-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:20:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.mp4/OS1g4PDdNdM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OS1g4PDdNdM.m3u8/OS1g4PDdNdM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OS1g4PDdNdM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915122530", "sha": "fcb9cc779e080926e6fad1a0f895cd1f71920d65", "translated_description": "", "image_url": "https://img.youtube.com/vi/OS1g4PDdNdM/hqdefault.jpg", "youtube_id": "OS1g4PDdNdM", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-1--ex-3"}, {"translated_youtube_id": "EGr3KC55sfU", "relative_url": "/video/converting-decimals-to-fractions-2--ex-1", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 2, ex, 1", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-2--ex-1", "duration": 74, "translated_title": "Converting decimals to fractions 2 (ex 1)", "translated_description_html": "", "id": "915110987", "description_html": "", "title": "Converting decimals to fractions 2 (ex 1)", "progress_key": "v915110987", "edit_slug": "edit/v/915110987", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-2--ex-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-23T22:20:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.m3u8/EGr3KC55sfU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EGr3KC55sfU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915110987", "sha": "9e5c3aaf47f851293c4ca92938f08e352bbb1895", "translated_description": "", "image_url": "https://img.youtube.com/vi/EGr3KC55sfU/hqdefault.jpg", "youtube_id": "EGr3KC55sfU", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-2--ex-1"}, {"translated_youtube_id": "qbMe4f2yvKs", "relative_url": "/video/converting-decimals-to-fractions-2--ex-2", "has_questions": false, "keywords": "Converting, decimals, to, fractions, 2, ex", "ka_url": "http://www.khanacademy.org/video/converting-decimals-to-fractions-2--ex-2", "duration": 131, "translated_title": "Converting decimals to fractions 2 (ex 2)", "translated_description_html": "", "id": "915169407", "description_html": "", "title": "Converting decimals to fractions 2 (ex 2)", "progress_key": "v915169407", "edit_slug": "edit/v/915169407", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-decimals-to-fractions-2--ex-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-07-23T22:21:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.m3u8/qbMe4f2yvKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qbMe4f2yvKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v915169407", "sha": "c58f753cbef5553b7d6416df22f4e72b1d609907", "translated_description": "", "image_url": "https://img.youtube.com/vi/qbMe4f2yvKs/hqdefault.jpg", "youtube_id": "qbMe4f2yvKs", "content_kind": "Video", "readable_id": "converting-decimals-to-fractions-2--ex-2"}, {"translated_youtube_id": "Llt-KkHugRQ", "relative_url": "/video/ordering-numeric-expressions_DUP_3", "has_questions": false, "keywords": "number, order, percentage, decimal, fraction", "ka_url": "http://www.khanacademy.org/video/ordering-numeric-expressions_DUP_3", "duration": 562, "translated_title": "Ordering numeric expressions", "translated_description_html": "Ordering numbers expressed as decimals, fractions, and percentages", "id": "547365605", "description_html": "Ordering numbers expressed as decimals, fractions, and percentages", "title": "Ordering numeric expressions", "progress_key": "v547365605", "edit_slug": "edit/v/547365605", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ordering numbers expressed as decimals, fractions, and percentages", "extra_properties": null, "node_slug": "v/ordering-numeric-expressions_DUP_3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-03T11:00:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.mp4/Llt-KkHugRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.mp4/Llt-KkHugRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Llt-KkHugRQ.m3u8/Llt-KkHugRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Llt-KkHugRQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v547365605", "sha": "9794bea9d87a9e632bee2fb8fa58494cabc48988", "translated_description": "Ordering numbers expressed as decimals, fractions, and percentages", "image_url": "https://img.youtube.com/vi/Llt-KkHugRQ/hqdefault.jpg", "youtube_id": "Llt-KkHugRQ", "content_kind": "Video", "readable_id": "ordering-numeric-expressions_DUP_3"}, {"translated_youtube_id": "Y2-tz27nKoQ", "relative_url": "/video/converting-a-fraction-to-a-repeating-decimal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-a-fraction-to-a-repeating-decimal", "duration": 265, "translated_title": "Converting a fraction to a repeating decimal", "translated_description_html": "", "id": "xa06e19a6", "description_html": "", "title": "Converting a fraction to a repeating decimal", "progress_key": "vxa06e19a6", "edit_slug": "edit/v/xa06e19a6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/converting-a-fraction-to-a-repeating-decimal", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-12T19:02:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y2-tz27nKoQ.mp4/Y2-tz27nKoQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y2-tz27nKoQ.mp4/Y2-tz27nKoQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y2-tz27nKoQ.m3u8/Y2-tz27nKoQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y2-tz27nKoQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa06e19a6", "sha": "2055112710377f0c77829a6030a459ac641a9e7d", "translated_description": "", "image_url": "https://img.youtube.com/vi/Y2-tz27nKoQ/hqdefault.jpg", "youtube_id": "Y2-tz27nKoQ", "content_kind": "Video", "readable_id": "converting-a-fraction-to-a-repeating-decimal"}], "twitter_url": "", "translated_description": "If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun!", "x_pos": 0.0, "node_slug": "decimals_fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T19:06:49Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2c91e230", "topic_page_url": "/math/arithmetic/fractions/decimals_fractions", "extended_slug": "math/arithmetic/fractions/decimals_fractions", "slug": "decimals_fractions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8f4fbce79e47697673a917aaac1988bd879b5c5d", "standalone_title": "Decimals and fractions", "y_pos": 0.0, "current_revision_key": "8f4fbce79e47697673a917aaac1988bd879b5c5d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/fractions/number_sets", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/fractions/number_sets", "translated_standalone_title": "Number sets", "translated_title": "Number sets", "gplus_url": "", "id": "x6bbdf00e", "old_key_name": "d0O7CF9FQND-gCs3Qw1NvVoHhxuxRsa91yIyIu8D", "hide": false, "title": "Number sets", "child_data": [{"kind": "Video", "id": 153770155}, {"kind": "Video", "id": 8187348}, {"kind": "Video", "id": 27078}, {"kind": "Video", "id": 27079}], "children": [{"translated_youtube_id": "Ksu1lo312BM", "relative_url": "/video/number-sets", "has_questions": false, "keywords": "u9_l1_t3_we3, Number, Sets, CC_6_NS_6, CC_6_NS_6_c, CC_8_NS_1", "ka_url": "http://www.khanacademy.org/video/number-sets", "duration": 317, "translated_title": "Number sets", "translated_description_html": "Number Sets", "id": "153770155", "description_html": "Number Sets", "title": "Number sets", "progress_key": "v153770155", "edit_slug": "edit/v/153770155", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Number Sets", "extra_properties": null, "node_slug": "v/number-sets", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ksu1lo312BM.mp4/Ksu1lo312BM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ksu1lo312BM.mp4/Ksu1lo312BM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ksu1lo312BM.m3u8/Ksu1lo312BM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ksu1lo312BM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770155", "sha": "b975688d2bace117bc9687147be14a7697007a7f", "translated_description": "Number Sets", "image_url": "https://img.youtube.com/vi/Ksu1lo312BM/hqdefault.jpg", "youtube_id": "Ksu1lo312BM", "content_kind": "Video", "readable_id": "number-sets"}, {"translated_youtube_id": "aqsIWLqlDhE", "relative_url": "/video/number-sets-1", "has_questions": false, "keywords": "U12_L1_T1_we1, Number, Sets, CC_6_NS_6, CC_6_NS_6_c, CC_8_NS_1", "ka_url": "http://www.khanacademy.org/video/number-sets-1", "duration": 377, "translated_title": "Number sets 1", "translated_description_html": "Number Sets 1", "id": "8187348", "description_html": "Number Sets 1", "title": "Number sets 1", "progress_key": "v8187348", "edit_slug": "edit/v/8187348", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Number Sets 1", "extra_properties": null, "node_slug": "v/number-sets-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aqsIWLqlDhE.mp4/aqsIWLqlDhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aqsIWLqlDhE.mp4/aqsIWLqlDhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aqsIWLqlDhE.m3u8/aqsIWLqlDhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aqsIWLqlDhE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187348", "sha": "eff634f32d97a5fa78df11ec01a59ee67697ba3d", "translated_description": "Number Sets 1", "image_url": "https://img.youtube.com/vi/aqsIWLqlDhE/hqdefault.jpg", "youtube_id": "aqsIWLqlDhE", "content_kind": "Video", "readable_id": "number-sets-1"}, {"translated_youtube_id": "qfQv8GzyjB4", "relative_url": "/video/number-sets-2", "has_questions": false, "keywords": "U12_L1_T1_we2, Number, Sets, CC_6_NS_6, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/number-sets-2", "duration": 412, "translated_title": "Number sets 2", "translated_description_html": "Number Sets 2", "id": "27078", "description_html": "Number Sets 2", "title": "Number sets 2", "progress_key": "v27078", "edit_slug": "edit/v/27078", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Number Sets 2", "extra_properties": null, "node_slug": "v/number-sets-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qfQv8GzyjB4.mp4/qfQv8GzyjB4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qfQv8GzyjB4.mp4/qfQv8GzyjB4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qfQv8GzyjB4.m3u8/qfQv8GzyjB4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qfQv8GzyjB4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27078", "sha": "056a5af4a94ca11b694569c02c998e83287fdafd", "translated_description": "Number Sets 2", "image_url": "https://img.youtube.com/vi/qfQv8GzyjB4/hqdefault.jpg", "youtube_id": "qfQv8GzyjB4", "content_kind": "Video", "readable_id": "number-sets-2"}, {"translated_youtube_id": "psyWUUkI-aw", "relative_url": "/video/number-sets-3", "has_questions": false, "keywords": "U12_L1_T1_we3, Number, Sets, CC_6_NS_6, CC_6_NS_6_c, CC_8_NS_1", "ka_url": "http://www.khanacademy.org/video/number-sets-3", "duration": 172, "translated_title": "Number sets 3", "translated_description_html": "Number Sets 3", "id": "27079", "description_html": "Number Sets 3", "title": "Number sets 3", "progress_key": "v27079", "edit_slug": "edit/v/27079", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Number Sets 3", "extra_properties": null, "node_slug": "v/number-sets-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/psyWUUkI-aw.mp4/psyWUUkI-aw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/psyWUUkI-aw.mp4/psyWUUkI-aw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/psyWUUkI-aw.m3u8/psyWUUkI-aw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=psyWUUkI-aw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27079", "sha": "7e93aa417cb274fc30e5d947e75738f855c61abd", "translated_description": "Number Sets 3", "image_url": "https://img.youtube.com/vi/psyWUUkI-aw/hqdefault.jpg", "youtube_id": "psyWUUkI-aw", "content_kind": "Video", "readable_id": "number-sets-3"}], "twitter_url": "", "translated_description": "The world of numbers can be split up into multiple \"sets\", many of which overlap with each other (integers, rational numbers, irrational numbers, etc.). This tutorial works through examples that expose you to the terminology of the various sets and how you can differentiate them.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The world of numbers can be split up into multiple \"sets\", many of which overlap with each other (integers, rational numbers, irrational numbers, etc.). This tutorial works through examples that expose you to the terminology of the various sets and how you can differentiate them.", "x_pos": 0.0, "node_slug": "number_sets", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6bbdf00e", "topic_page_url": "/math/arithmetic/fractions/number_sets", "extended_slug": "math/arithmetic/fractions/number_sets", "slug": "number_sets", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "af36ee665058f2173c49d15afc8c89dfb748e04b", "standalone_title": "Number sets", "y_pos": 0.0, "current_revision_key": "af36ee665058f2173c49d15afc8c89dfb748e04b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding fractions conceptually, using operations with fractions, and converting fractions.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding fractions conceptually, using operations with fractions, and converting fractions.", "x_pos": -10.0, "node_slug": "fractions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T01:05:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd47ef507", "topic_page_url": "/math/arithmetic/fractions", "extended_slug": "math/arithmetic/fractions", "slug": "fractions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6860a38307dff866adc76b51b060e3776dc92c52", "standalone_title": "Fractions", "y_pos": 22.0, "current_revision_key": "6860a38307dff866adc76b51b060e3776dc92c52", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/rates-and-ratios-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios", "translated_standalone_title": "Rates and ratios", "translated_title": "Ratios, proportions, units and rates", "gplus_url": "", "id": "x596e2fc5", "old_key_name": "LjZH9OiVLkOOeF4QDuyKlI1QzI8U9dRelqF81GWH", "hide": false, "title": "Ratios, proportions, units and rates", "child_data": [{"kind": "Topic", "id": "x7c576402"}, {"kind": "Topic", "id": "x04eeff8e"}, {"kind": "Topic", "id": "xb41e2213"}, {"kind": "Topic", "id": "x09fddb3e"}, {"kind": "Topic", "id": "x3e7429d6"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios/ratios_and_proportions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios/ratios_and_proportions", "translated_standalone_title": "Ratios and proportions", "translated_title": "Ratios and proportions", "gplus_url": "", "id": "x7c576402", "old_key_name": "yQG2mWwlxFAh8q4JuYaaUYCuEV9QQnaoGSY6a2Y1", "hide": false, "title": "Ratios and proportions", "child_data": [{"kind": "Video", "id": 23464}, {"kind": "Video", "id": 1819}, {"kind": "Video", "id": 1820}, {"kind": "Exercise", "id": 201382013}, {"kind": "Video", "id": "x09b0e465"}, {"kind": "Exercise", "id": "x9f789589"}, {"kind": "Video", "id": "xde4f6af2"}, {"kind": "Video", "id": "x8db3094d"}, {"kind": "Exercise", "id": 201415654}, {"kind": "Video", "id": 1823}, {"kind": "Video", "id": "xcfd31e75"}, {"kind": "Video", "id": "x708bfe94"}, {"kind": "Video", "id": "xb4441e1f"}, {"kind": "Exercise", "id": "x1face01c"}], "children": [{"translated_youtube_id": "HpdMJaKaXXc", "relative_url": "/video/introduction-to-ratios--new-hd-version", "has_questions": false, "keywords": "ratio, ratios, math", "ka_url": "http://www.khanacademy.org/video/introduction-to-ratios--new-hd-version", "duration": 853, "translated_title": "Introduction to ratios", "translated_description_html": "What a ratio is. Simple ratio problems.", "id": "23464", "description_html": "What a ratio is. Simple ratio problems.", "title": "Introduction to ratios", "progress_key": "v23464", "edit_slug": "edit/v/23464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What a ratio is. Simple ratio problems.", "extra_properties": null, "node_slug": "v/introduction-to-ratios--new-hd-version", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.m3u8/HpdMJaKaXXc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HpdMJaKaXXc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23464", "sha": "5a82885fa301342273da98a6c9a0dbfa40df6234", "translated_description": "What a ratio is. Simple ratio problems.", "image_url": "https://img.youtube.com/vi/HpdMJaKaXXc/hqdefault.jpg", "youtube_id": "HpdMJaKaXXc", "content_kind": "Video", "readable_id": "introduction-to-ratios--new-hd-version"}, {"translated_youtube_id": "JWmCiZwoyMs", "relative_url": "/video/ratios-as-fractions-in-simplest-form", "has_questions": false, "keywords": "U04_L1_T1_we1, Ratios, as, Fractions, in, Simplest, Form, CC_6_RP_1", "ka_url": "http://www.khanacademy.org/video/ratios-as-fractions-in-simplest-form", "duration": 79, "translated_title": "Ratios as fractions in simplest form", "translated_description_html": "Ratios as Fractions in Simplest Form", "id": "1819", "description_html": "Ratios as Fractions in Simplest Form", "title": "Ratios as fractions in simplest form", "progress_key": "v1819", "edit_slug": "edit/v/1819", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ratios as Fractions in Simplest Form", "extra_properties": null, "node_slug": "v/ratios-as-fractions-in-simplest-form", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.m3u8/JWmCiZwoyMs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JWmCiZwoyMs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1819", "sha": "1511b67b5968a578740973fa9413a6cce601da60", "translated_description": "Ratios as Fractions in Simplest Form", "image_url": "https://img.youtube.com/vi/JWmCiZwoyMs/hqdefault.jpg", "youtube_id": "JWmCiZwoyMs", "content_kind": "Video", "readable_id": "ratios-as-fractions-in-simplest-form"}, {"translated_youtube_id": "p5nomPfUF9k", "relative_url": "/video/simplifying-rates-and-ratios", "has_questions": false, "keywords": "U04_L1_T1_we2, Simplifying, Rates, and, Ratios, CC_6_RP_1", "ka_url": "http://www.khanacademy.org/video/simplifying-rates-and-ratios", "duration": 148, "translated_title": "Simplifying rates and ratios", "translated_description_html": "Simplifying Rates and Ratios", "id": "1820", "description_html": "Simplifying Rates and Ratios", "title": "Simplifying rates and ratios", "progress_key": "v1820", "edit_slug": "edit/v/1820", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Rates and Ratios", "extra_properties": null, "node_slug": "v/simplifying-rates-and-ratios", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.mp4/p5nomPfUF9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.mp4/p5nomPfUF9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5nomPfUF9k.m3u8/p5nomPfUF9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5nomPfUF9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1820", "sha": "b483504979564fd335029a0ff92a12e42a34061e", "translated_description": "Simplifying Rates and Ratios", "image_url": "https://img.youtube.com/vi/p5nomPfUF9k/hqdefault.jpg", "youtube_id": "p5nomPfUF9k", "content_kind": "Video", "readable_id": "simplifying-rates-and-ratios"}, {"translated_youtube_id": "b-6pqRnm2b8", "relative_url": "/video/describing-ratios-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/describing-ratios-exercise", "duration": 128, "translated_title": "Describing ratios exercise", "translated_description_html": "", "id": "x09b0e465", "description_html": "", "title": "Describing ratios exercise", "progress_key": "vx09b0e465", "edit_slug": "edit/v/x09b0e465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/describing-ratios-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.mp4/b-6pqRnm2b8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.mp4/b-6pqRnm2b8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-6pqRnm2b8.m3u8/b-6pqRnm2b8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-6pqRnm2b8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09b0e465", "sha": "84acc4a18052bf42aa5f25b1baa204ccafd14e78", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-6pqRnm2b8/hqdefault.jpg", "youtube_id": "b-6pqRnm2b8", "content_kind": "Video", "readable_id": "describing-ratios-exercise"}, {"translated_youtube_id": "Vx5uoZAkxng", "relative_url": "/video/ratio-word-problem-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ratio-word-problem-exercise-example-1", "duration": 124, "translated_title": "Ratio word problem exercise example 1", "translated_description_html": "", "id": "xde4f6af2", "description_html": "", "title": "Ratio word problem exercise example 1", "progress_key": "vxde4f6af2", "edit_slug": "edit/v/xde4f6af2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/ratio-word-problem-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.mp4/Vx5uoZAkxng.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.mp4/Vx5uoZAkxng.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vx5uoZAkxng.m3u8/Vx5uoZAkxng.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vx5uoZAkxng&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxde4f6af2", "sha": "35408ee1020a13df7311e2677dc3c091588ad167", "translated_description": "", "image_url": "https://img.youtube.com/vi/Vx5uoZAkxng/hqdefault.jpg", "youtube_id": "Vx5uoZAkxng", "content_kind": "Video", "readable_id": "ratio-word-problem-exercise-example-1"}, {"translated_youtube_id": "tOd2T72eJME", "relative_url": "/video/ratio-word-problem-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ratio-word-problem-exercise-example-2", "duration": 72, "translated_title": "Ratio word problem exercise example 2", "translated_description_html": "", "id": "x8db3094d", "description_html": "", "title": "Ratio word problem exercise example 2", "progress_key": "vx8db3094d", "edit_slug": "edit/v/x8db3094d", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/ratio-word-problem-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.mp4/tOd2T72eJME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.mp4/tOd2T72eJME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tOd2T72eJME.m3u8/tOd2T72eJME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tOd2T72eJME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8db3094d", "sha": "440db0886a8934b3117be4e89d3a181c08567ec7", "translated_description": "", "image_url": "https://img.youtube.com/vi/tOd2T72eJME/hqdefault.jpg", "youtube_id": "tOd2T72eJME", "content_kind": "Video", "readable_id": "ratio-word-problem-exercise-example-2"}, {"translated_youtube_id": "V3FvaClh6LY", "relative_url": "/video/understanding-proportions", "has_questions": false, "keywords": "U04_L2_T1_we1, Understanding, Proportions, CC_7_RP_2, CC_7_RP_2_a", "ka_url": "http://www.khanacademy.org/video/understanding-proportions", "duration": 85, "translated_title": "Proportion validity example", "translated_description_html": "Understanding Proportions", "id": "1823", "description_html": "Understanding Proportions", "title": "Proportion validity example", "progress_key": "v1823", "edit_slug": "edit/v/1823", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding Proportions", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-proportions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V3FvaClh6LY.mp4/V3FvaClh6LY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V3FvaClh6LY.mp4/V3FvaClh6LY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V3FvaClh6LY.m3u8/V3FvaClh6LY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V3FvaClh6LY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1823", "sha": "8a26714a07a421e370c1ce681a5e154cdf2e7b89", "translated_description": "Understanding Proportions", "image_url": "https://img.youtube.com/vi/V3FvaClh6LY/hqdefault.jpg", "youtube_id": "V3FvaClh6LY", "content_kind": "Video", "readable_id": "understanding-proportions"}, {"translated_youtube_id": "MaMk6-f3T9k", "relative_url": "/video/solving-ratio-problems-with-tables-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise", "duration": 305, "translated_title": "Solving ratio problems with tables exercise", "translated_description_html": "", "id": "xcfd31e75", "description_html": "", "title": "Solving ratio problems with tables exercise", "progress_key": "vxcfd31e75", "edit_slug": "edit/v/xcfd31e75", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.mp4/MaMk6-f3T9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.mp4/MaMk6-f3T9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MaMk6-f3T9k.m3u8/MaMk6-f3T9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MaMk6-f3T9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcfd31e75", "sha": "b07810f85aab788d236edf7e661842e5adebeef4", "translated_description": "", "image_url": "https://img.youtube.com/vi/MaMk6-f3T9k/hqdefault.jpg", "youtube_id": "MaMk6-f3T9k", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise"}, {"translated_youtube_id": "kfySynqWWos", "relative_url": "/video/solving-ratio-problems-with-tables-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise-2", "duration": 149, "translated_title": "Solving ratio problems with tables exercise 2", "translated_description_html": "", "id": "x708bfe94", "description_html": "", "title": "Solving ratio problems with tables exercise 2", "progress_key": "vx708bfe94", "edit_slug": "edit/v/x708bfe94", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T21:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.mp4/kfySynqWWos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.mp4/kfySynqWWos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kfySynqWWos.m3u8/kfySynqWWos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kfySynqWWos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx708bfe94", "sha": "9c718046c0c7c9e5fd0c4a028e2eb852dac40cb9", "translated_description": "", "image_url": "https://img.youtube.com/vi/kfySynqWWos/hqdefault.jpg", "youtube_id": "kfySynqWWos", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise-2"}, {"translated_youtube_id": "dmcVzFbXMCU", "relative_url": "/video/solving-ratio-problems-with-tables-exercise-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-ratio-problems-with-tables-exercise-3", "duration": 94, "translated_title": "Solving ratio problems with tables exercise 3", "translated_description_html": "", "id": "xb4441e1f", "description_html": "", "title": "Solving ratio problems with tables exercise 3", "progress_key": "vxb4441e1f", "edit_slug": "edit/v/xb4441e1f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-ratio-problems-with-tables-exercise-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T21:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.mp4/dmcVzFbXMCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.mp4/dmcVzFbXMCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dmcVzFbXMCU.m3u8/dmcVzFbXMCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dmcVzFbXMCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb4441e1f", "sha": "02a3827b653dcc9760e4e2400eab51b0e7b0a950", "translated_description": "", "image_url": "https://img.youtube.com/vi/dmcVzFbXMCU/hqdefault.jpg", "youtube_id": "dmcVzFbXMCU", "content_kind": "Video", "readable_id": "solving-ratio-problems-with-tables-exercise-3"}], "twitter_url": "", "translated_description": "Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls-to-boys? What is the ratio of eggs to butter in your favorite dessert?\n\nRatios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls-to-boys? What is the ratio of eggs to butter in your favorite dessert?\n\nRatios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!", "x_pos": 0.0, "node_slug": "ratios_and_proportions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T14:30:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c576402", "topic_page_url": "/math/arithmetic/rates-and-ratios/ratios_and_proportions", "extended_slug": "math/arithmetic/rates-and-ratios/ratios_and_proportions", "slug": "ratios_and_proportions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1509a6ed95456284de9da44eb22c7d8592227325", "standalone_title": "Ratios and proportions", "y_pos": 0.0, "current_revision_key": "1509a6ed95456284de9da44eb22c7d8592227325", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios/rates_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios/rates_tutorial", "translated_standalone_title": "Rates", "translated_title": "Rates", "gplus_url": "", "id": "x04eeff8e", "old_key_name": "d4PASNusQHYujgCcqDVeyiFU98Xi1g4KglgjTahn", "hide": false, "title": "Rates", "child_data": [{"kind": "Video", "id": 1254749169}, {"kind": "Video", "id": 1821}, {"kind": "Video", "id": 1822}, {"kind": "Exercise", "id": 243479663}, {"kind": "Video", "id": "x4d8d0cca"}, {"kind": "Exercise", "id": 297910578}], "children": [{"translated_youtube_id": "mt6Nq0dzFjo", "relative_url": "/video/usain-bolt-s-average-speed", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/usain-bolt-s-average-speed", "duration": 795, "translated_title": "Usain Bolt's average speed", "translated_description_html": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "id": "1254749169", "description_html": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "title": "Usain Bolt's average speed", "progress_key": "v1254749169", "edit_slug": "edit/v/1254749169", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "extra_properties": null, "node_slug": "v/usain-bolt-s-average-speed", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-29T01:42:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.mp4/mt6Nq0dzFjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.mp4/mt6Nq0dzFjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mt6Nq0dzFjo.m3u8/mt6Nq0dzFjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mt6Nq0dzFjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254749169", "sha": "fe2fcd84c603ce6a39be14617ad8b6b39546d26c", "translated_description": "Figuring out Usain Bolt's average speed over 100m when he broke the world record in 2009", "image_url": "https://img.youtube.com/vi/mt6Nq0dzFjo/hqdefault.jpg", "youtube_id": "mt6Nq0dzFjo", "content_kind": "Video", "readable_id": "usain-bolt-s-average-speed"}, {"translated_youtube_id": "Zm0KaIw-35k", "relative_url": "/video/finding-unit-rates", "has_questions": false, "keywords": "U04_L1_T1_we3, Finding, Unit, Rates, CC_6_RP_2, CC_6_RP_3, CC_7_RP_2_b", "ka_url": "http://www.khanacademy.org/video/finding-unit-rates", "duration": 151, "translated_title": "Finding unit rates", "translated_description_html": "Finding Unit Rates", "id": "1821", "description_html": "Finding Unit Rates", "title": "Finding unit rates", "progress_key": "v1821", "edit_slug": "edit/v/1821", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Unit Rates", "extra_properties": null, "node_slug": "v/finding-unit-rates", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.mp4/Zm0KaIw-35k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.mp4/Zm0KaIw-35k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zm0KaIw-35k.m3u8/Zm0KaIw-35k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zm0KaIw-35k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1821", "sha": "5ed2cc46d0dfc421c5c7cbc7442533ed2d139228", "translated_description": "Finding Unit Rates", "image_url": "https://img.youtube.com/vi/Zm0KaIw-35k/hqdefault.jpg", "youtube_id": "Zm0KaIw-35k", "content_kind": "Video", "readable_id": "finding-unit-rates"}, {"translated_youtube_id": "d7rAlcNHDUI", "relative_url": "/video/finding-unit-prices", "has_questions": false, "keywords": "U04_L1_T1_we4, Finding, Unit, Prices, CC_6_RP_2, CC_6_RP_3", "ka_url": "http://www.khanacademy.org/video/finding-unit-prices", "duration": 121, "translated_title": "Finding unit prices", "translated_description_html": "Finding Unit Prices", "id": "1822", "description_html": "Finding Unit Prices", "title": "Finding unit prices", "progress_key": "v1822", "edit_slug": "edit/v/1822", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Unit Prices", "extra_properties": null, "node_slug": "v/finding-unit-prices", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.mp4/d7rAlcNHDUI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.mp4/d7rAlcNHDUI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d7rAlcNHDUI.m3u8/d7rAlcNHDUI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d7rAlcNHDUI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1822", "sha": "86affedecaea7a4c3844d42f9252e5162ce91f7c", "translated_description": "Finding Unit Prices", "image_url": "https://img.youtube.com/vi/d7rAlcNHDUI/hqdefault.jpg", "youtube_id": "d7rAlcNHDUI", "content_kind": "Video", "readable_id": "finding-unit-prices"}, {"translated_youtube_id": "Uc2Tm4Lr7uI", "relative_url": "/video/multiple-rates-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiple-rates-word-problem", "duration": 388, "translated_title": "Multiple rates word problem", "translated_description_html": "", "id": "x4d8d0cca", "description_html": "", "title": "Multiple rates word problem", "progress_key": "vx4d8d0cca", "edit_slug": "edit/v/x4d8d0cca", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiple-rates-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:21:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.mp4/Uc2Tm4Lr7uI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.mp4/Uc2Tm4Lr7uI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uc2Tm4Lr7uI.m3u8/Uc2Tm4Lr7uI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uc2Tm4Lr7uI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d8d0cca", "sha": "a84e9633ead959dc60ff09438a22f833cf9df2b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/Uc2Tm4Lr7uI/hqdefault.jpg", "youtube_id": "Uc2Tm4Lr7uI", "content_kind": "Video", "readable_id": "multiple-rates-word-problem"}], "twitter_url": "", "translated_description": "How fast can a robot possum fly? What is the rate at which a hungry you can consume avocados? \n\nThis tutorial helps you make sense of these fundamental questions in life.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How fast can a robot possum fly? What is the rate at which a hungry you can consume avocados? \n\nThis tutorial helps you make sense of these fundamental questions in life.", "x_pos": 0.0, "node_slug": "rates_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T00:24:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04eeff8e", "topic_page_url": "/math/arithmetic/rates-and-ratios/rates_tutorial", "extended_slug": "math/arithmetic/rates-and-ratios/rates_tutorial", "slug": "rates_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8ff7c055b3d4f6fe0d6674dbe8eccdea7195762e", "standalone_title": "Rates", "y_pos": 0.0, "current_revision_key": "8ff7c055b3d4f6fe0d6674dbe8eccdea7195762e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios/unit_conversion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios/unit_conversion", "translated_standalone_title": "Unit conversion", "translated_title": "Unit conversion", "gplus_url": "", "id": "xb41e2213", "old_key_name": "a8yWPSA0iyv1N6dibqoMwvgKIpKxXRKOrro9gR7b", "hide": false, "title": "Unit conversion", "child_data": [{"kind": "Video", "id": 23}, {"kind": "Video", "id": 26}, {"kind": "Video", "id": 16}, {"kind": "Video", "id": 27}, {"kind": "Video", "id": 25}, {"kind": "Video", "id": 28}, {"kind": "Video", "id": "xbabf89be"}, {"kind": "Video", "id": "xdfd94c1b"}, {"kind": "Video", "id": 22}, {"kind": "Video", "id": 1622153}, {"kind": "Video", "id": 153770144}, {"kind": "Exercise", "id": 3020}, {"kind": "Video", "id": 25779}], "children": [{"translated_youtube_id": "IrvEHVn-fks", "relative_url": "/video/converting-pounds-to-ounces", "has_questions": false, "keywords": "U06_L1_T2_we1, Converting, pounds, to, ounces, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-pounds-to-ounces", "duration": 94, "translated_title": "Converting pounds to ounces", "translated_description_html": "Converting pounds to ounces", "id": "23", "description_html": "Converting pounds to ounces", "title": "Converting pounds to ounces", "progress_key": "v23", "edit_slug": "edit/v/23", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting pounds to ounces", "extra_properties": null, "node_slug": "v/converting-pounds-to-ounces", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.mp4/IrvEHVn-fks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.mp4/IrvEHVn-fks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IrvEHVn-fks.m3u8/IrvEHVn-fks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IrvEHVn-fks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23", "sha": "f451e37e673cc24b3750d9cd3a1872ac3a42b8ac", "translated_description": "Converting pounds to ounces", "image_url": "https://img.youtube.com/vi/IrvEHVn-fks/hqdefault.jpg", "youtube_id": "IrvEHVn-fks", "content_kind": "Video", "readable_id": "converting-pounds-to-ounces"}, {"translated_youtube_id": "4uQtJDf7drU", "relative_url": "/video/converting-gallons-to-quarts-pints-and-cups", "has_questions": false, "keywords": "U06_L1_T3_we1, Converting, Gallons, to, quarts, pints, and, cups, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-gallons-to-quarts-pints-and-cups", "duration": 317, "translated_title": "Converting gallons to quarts, pints, and cups", "translated_description_html": "Converting Gallons to quarts pints and cups", "id": "26", "description_html": "Converting Gallons to quarts pints and cups", "title": "Converting gallons to quarts, pints, and cups", "progress_key": "v26", "edit_slug": "edit/v/26", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Gallons to quarts pints and cups", "extra_properties": null, "node_slug": "v/converting-gallons-to-quarts-pints-and-cups", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.m3u8/4uQtJDf7drU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4uQtJDf7drU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26", "sha": "ea0b4e8e51fd7b7b4cda4632d017e32bee5c3b73", "translated_description": "Converting Gallons to quarts pints and cups", "image_url": "https://img.youtube.com/vi/4uQtJDf7drU/hqdefault.jpg", "youtube_id": "4uQtJDf7drU", "content_kind": "Video", "readable_id": "converting-gallons-to-quarts-pints-and-cups"}, {"translated_youtube_id": "8C5kAIKLcZo", "relative_url": "/video/converting-yards-into-inches", "has_questions": false, "keywords": "U06_L1_T1_we1, Converting, Yards, into, Inches", "ka_url": "http://www.khanacademy.org/video/converting-yards-into-inches", "duration": 349, "translated_title": "Converting yards into inches", "translated_description_html": "U06_L1_T1_we1 Converting Yards into Inches", "id": "16", "description_html": "U06_L1_T1_we1 Converting Yards into Inches", "title": "Converting yards into inches", "progress_key": "v16", "edit_slug": "edit/v/16", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U06_L1_T1_we1 Converting Yards into Inches", "extra_properties": null, "node_slug": "v/converting-yards-into-inches", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.mp4/8C5kAIKLcZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.mp4/8C5kAIKLcZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8C5kAIKLcZo.m3u8/8C5kAIKLcZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8C5kAIKLcZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v16", "sha": "4f0c97b62dc14a39d2fbd501ca409ab2ec3eb94f", "translated_description": "U06_L1_T1_we1 Converting Yards into Inches", "image_url": "https://img.youtube.com/vi/8C5kAIKLcZo/hqdefault.jpg", "youtube_id": "8C5kAIKLcZo", "content_kind": "Video", "readable_id": "converting-yards-into-inches"}, {"translated_youtube_id": "hShqXKpI6KA", "relative_url": "/video/performing-arithmetic-calculations-on-units-of-volume", "has_questions": false, "keywords": "U06_L1_T3_we2, Performing, arithmetic, calculations, on, units, of, volume, CC_3_MD_2, CC_4_MD_1, CC_4_MD_2, CC_5_MD_1, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_c, CC_6_RP_3_d, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/performing-arithmetic-calculations-on-units-of-volume", "duration": 323, "translated_title": "Performing arithmetic calculations on units of volume", "translated_description_html": "Performing arithmetic calculations on units of volume", "id": "27", "description_html": "Performing arithmetic calculations on units of volume", "title": "Performing arithmetic calculations on units of volume", "progress_key": "v27", "edit_slug": "edit/v/27", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Performing arithmetic calculations on units of volume", "extra_properties": null, "node_slug": "v/performing-arithmetic-calculations-on-units-of-volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.m3u8/hShqXKpI6KA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hShqXKpI6KA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27", "sha": "4f2d7bbd8480f9f67b31aeb0b8715bb86f4f0f20", "translated_description": "Performing arithmetic calculations on units of volume", "image_url": "https://img.youtube.com/vi/hShqXKpI6KA/hqdefault.jpg", "youtube_id": "hShqXKpI6KA", "content_kind": "Video", "readable_id": "performing-arithmetic-calculations-on-units-of-volume"}, {"translated_youtube_id": "gnCL_0uA6Ds", "relative_url": "/video/application-problems-involving-units-of-weight", "has_questions": false, "keywords": "U06_L1_T2_we3, Application, problems, involving, units, of, weight, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/application-problems-involving-units-of-weight", "duration": 428, "translated_title": "Safe elevator", "translated_description_html": "Application problems involving units of weight", "id": "25", "description_html": "Application problems involving units of weight", "title": "Safe elevator", "progress_key": "v25", "edit_slug": "edit/v/25", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Application problems involving units of weight", "extra_properties": null, "node_slug": "v/application-problems-involving-units-of-weight", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.mp4/gnCL_0uA6Ds.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gnCL_0uA6Ds.m3u8/gnCL_0uA6Ds.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gnCL_0uA6Ds&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25", "sha": "99e9e24ae8c5e55b1d49412dd43867c18e3c7ad2", "translated_description": "Application problems involving units of weight", "image_url": "https://img.youtube.com/vi/gnCL_0uA6Ds/hqdefault.jpg", "youtube_id": "gnCL_0uA6Ds", "content_kind": "Video", "readable_id": "application-problems-involving-units-of-weight"}, {"translated_youtube_id": "KgoXx_58QyQ", "relative_url": "/video/solving-application-problems-involving-units-of-volume", "has_questions": false, "keywords": "U06_L1_T3_we3, Solving, application, problems, involving, units, of, volume, CC_3_MD_2, CC_4_MD_1, CC_4_MD_2, CC_5_MD_1, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_c, CC_6_RP_3_d, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solving-application-problems-involving-units-of-volume", "duration": 209, "translated_title": "Blood drive", "translated_description_html": "Solving application problems involving units of volume", "id": "28", "description_html": "Solving application problems involving units of volume", "title": "Blood drive", "progress_key": "v28", "edit_slug": "edit/v/28", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving application problems involving units of volume", "extra_properties": null, "node_slug": "v/solving-application-problems-involving-units-of-volume", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.mp4/KgoXx_58QyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KgoXx_58QyQ.m3u8/KgoXx_58QyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KgoXx_58QyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28", "sha": "098b40d5a69934bbcd219f2975847404168a1eea", "translated_description": "Solving application problems involving units of volume", "image_url": "https://img.youtube.com/vi/KgoXx_58QyQ/hqdefault.jpg", "youtube_id": "KgoXx_58QyQ", "content_kind": "Video", "readable_id": "solving-application-problems-involving-units-of-volume"}, {"translated_youtube_id": "xpzt0wqMT6Y", "relative_url": "/video/unit-conversion-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-conversion-exercise-example-1", "duration": 227, "translated_title": "Gas cost for a roadtrip", "translated_description_html": "", "id": "xbabf89be", "description_html": "", "title": "Gas cost for a roadtrip", "progress_key": "vxbabf89be", "edit_slug": "edit/v/xbabf89be", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/unit-conversion-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T15:22:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.mp4/xpzt0wqMT6Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.mp4/xpzt0wqMT6Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xpzt0wqMT6Y.m3u8/xpzt0wqMT6Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xpzt0wqMT6Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbabf89be", "sha": "475ec9c1a9b285586f450ef2e491667a03e46d21", "translated_description": "", "image_url": "https://img.youtube.com/vi/xpzt0wqMT6Y/hqdefault.jpg", "youtube_id": "xpzt0wqMT6Y", "content_kind": "Video", "readable_id": "unit-conversion-exercise-example-1"}, {"translated_youtube_id": "F0LLR7bs7Qo", "relative_url": "/video/can-a-squirrel-avoid-getting-run-over", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/can-a-squirrel-avoid-getting-run-over", "duration": 253, "translated_title": "Squirrel survival", "translated_description_html": "", "id": "xdfd94c1b", "description_html": "", "title": "Squirrel survival", "progress_key": "vxdfd94c1b", "edit_slug": "edit/v/xdfd94c1b", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/can-a-squirrel-avoid-getting-run-over", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T15:22:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.mp4/F0LLR7bs7Qo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.mp4/F0LLR7bs7Qo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F0LLR7bs7Qo.m3u8/F0LLR7bs7Qo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F0LLR7bs7Qo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfd94c1b", "sha": "4b384038a24efb789e9db2249a649a6d8d2ea582", "translated_description": "", "image_url": "https://img.youtube.com/vi/F0LLR7bs7Qo/hqdefault.jpg", "youtube_id": "F0LLR7bs7Qo", "content_kind": "Video", "readable_id": "can-a-squirrel-avoid-getting-run-over"}, {"translated_youtube_id": "AGFO-ROxH_I", "relative_url": "/video/converting-units-of-length", "has_questions": false, "keywords": "U06_L1_T1_we3, Converting, units, of, length, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-units-of-length", "duration": 484, "translated_title": "Running laps", "translated_description_html": "

Converting units of length<\/p>", "id": "22", "description_html": "

Converting units of length<\/p>", "title": "Running laps", "progress_key": "v22", "edit_slug": "edit/v/22", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting units of length", "extra_properties": {}, "node_slug": "v/converting-units-of-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.mp4/AGFO-ROxH_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AGFO-ROxH_I.m3u8/AGFO-ROxH_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AGFO-ROxH_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v22", "sha": "d2a36f7b3a5990eb193f1dbaa5d945c03b2d3b4f", "translated_description": "Converting units of length", "image_url": "https://img.youtube.com/vi/AGFO-ROxH_I/hqdefault.jpg", "youtube_id": "AGFO-ROxH_I", "content_kind": "Video", "readable_id": "converting-units-of-length"}, {"translated_youtube_id": "ScvuRb6vsz4", "relative_url": "/video/unit-conversion-example--drug-dosage", "has_questions": false, "keywords": "drug, dosage, unit, conversion, nursing", "ka_url": "http://www.khanacademy.org/video/unit-conversion-example--drug-dosage", "duration": 644, "translated_title": "Unit conversion example: Drug dosage", "translated_description_html": "Unit Conversion Example: Drug Dosage", "id": "1622153", "description_html": "Unit Conversion Example: Drug Dosage", "title": "Unit conversion example: Drug dosage", "progress_key": "v1622153", "edit_slug": "edit/v/1622153", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Unit Conversion Example: Drug Dosage", "extra_properties": null, "node_slug": "v/unit-conversion-example--drug-dosage", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.mp4/ScvuRb6vsz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.mp4/ScvuRb6vsz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ScvuRb6vsz4.m3u8/ScvuRb6vsz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ScvuRb6vsz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1622153", "sha": "2416089f5ea4f38c18f506d326b24fe4e065a497", "translated_description": "Unit Conversion Example: Drug Dosage", "image_url": "https://img.youtube.com/vi/ScvuRb6vsz4/hqdefault.jpg", "youtube_id": "ScvuRb6vsz4", "content_kind": "Video", "readable_id": "unit-conversion-example--drug-dosage"}, {"translated_youtube_id": "jFSenp9ueaI", "relative_url": "/video/unit-conversion-with-fractions", "has_questions": false, "keywords": "u6_l1_t1_we1, Unit, Conversion, with, Fractions", "ka_url": "http://www.khanacademy.org/video/unit-conversion-with-fractions", "duration": 348, "translated_title": "Unit conversion with fractions", "translated_description_html": "Unit Conversion with Fractions", "id": "153770144", "description_html": "Unit Conversion with Fractions", "title": "Unit conversion with fractions", "progress_key": "v153770144", "edit_slug": "edit/v/153770144", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unit Conversion with Fractions", "extra_properties": null, "node_slug": "v/unit-conversion-with-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.m3u8/jFSenp9ueaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFSenp9ueaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770144", "sha": "d5de58cfda5a489ffa725a3a6b48d3fb0642b3ac", "translated_description": "Unit Conversion with Fractions", "image_url": "https://img.youtube.com/vi/jFSenp9ueaI/hqdefault.jpg", "youtube_id": "jFSenp9ueaI", "content_kind": "Video", "readable_id": "unit-conversion-with-fractions"}, {"translated_youtube_id": "aTjNDKlz8G4", "relative_url": "/video/speed-translation", "has_questions": false, "keywords": "Math, units, speed, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/speed-translation", "duration": 595, "translated_title": "Speed translation", "translated_description_html": "Translating speed units", "id": "25779", "description_html": "Translating speed units", "title": "Speed translation", "progress_key": "v25779", "edit_slug": "edit/v/25779", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Translating speed units", "extra_properties": null, "node_slug": "v/speed-translation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aTjNDKlz8G4.mp4/aTjNDKlz8G4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aTjNDKlz8G4.mp4/aTjNDKlz8G4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aTjNDKlz8G4.m3u8/aTjNDKlz8G4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aTjNDKlz8G4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25779", "sha": "a51096a05ce4eb590f37a675c77d6a3cc1df3f83", "translated_description": "Translating speed units", "image_url": "https://img.youtube.com/vi/aTjNDKlz8G4/hqdefault.jpg", "youtube_id": "aTjNDKlz8G4", "content_kind": "Video", "readable_id": "speed-translation"}], "twitter_url": "", "translated_description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? \n\nThis tutorial is about the fundamental skill of unit conversion. Sal's cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? \n\nThis tutorial is about the fundamental skill of unit conversion. Sal's cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).", "x_pos": 0.0, "node_slug": "unit_conversion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T15:27:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb41e2213", "topic_page_url": "/math/arithmetic/rates-and-ratios/unit_conversion", "extended_slug": "math/arithmetic/rates-and-ratios/unit_conversion", "slug": "unit_conversion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4c0a156b3835d44ec3c370d263caea98d799dfa0", "standalone_title": "Unit conversion", "y_pos": 0.0, "current_revision_key": "4c0a156b3835d44ec3c370d263caea98d799dfa0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios/metric-system-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios/metric-system-tutorial", "translated_standalone_title": "Metric system", "translated_title": "Metric system unit conversion", "gplus_url": "", "id": "x09fddb3e", "old_key_name": null, "hide": false, "title": "Metric system unit conversion", "child_data": [{"kind": "Video", "id": 25777}, {"kind": "Video", "id": 31}, {"kind": "Video", "id": 153770150}, {"kind": "Video", "id": 32}, {"kind": "Video", "id": 30}, {"kind": "Video", "id": 29}], "children": [{"translated_youtube_id": "w0nqd_HXHPQ", "relative_url": "/video/unit-conversion", "has_questions": false, "keywords": "Math, units, metric, conversion, CC_5_MD_1", "ka_url": "http://www.khanacademy.org/video/unit-conversion", "duration": 557, "translated_title": "Unit conversion within the metric system", "translated_description_html": "Metric unit conversion", "id": "25777", "description_html": "Metric unit conversion", "title": "Unit conversion within the metric system", "progress_key": "v25777", "edit_slug": "edit/v/25777", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Metric unit conversion", "extra_properties": null, "node_slug": "v/unit-conversion", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w0nqd_HXHPQ.mp4/w0nqd_HXHPQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w0nqd_HXHPQ.mp4/w0nqd_HXHPQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w0nqd_HXHPQ.m3u8/w0nqd_HXHPQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w0nqd_HXHPQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25777", "sha": "0f98231f73873bfa3d87e03ca83e9aceae12c99f", "translated_description": "Metric unit conversion", "image_url": "https://img.youtube.com/vi/w0nqd_HXHPQ/hqdefault.jpg", "youtube_id": "w0nqd_HXHPQ", "content_kind": "Video", "readable_id": "unit-conversion"}, {"translated_youtube_id": "uHaKyNplino", "relative_url": "/video/converting-within-the-metric-system", "has_questions": false, "keywords": "U06_L2_T2_we1, Converting, within, the, metric, system, CC_3_MD_8, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-within-the-metric-system", "duration": 282, "translated_title": "Converting within the metric system", "translated_description_html": "Converting within the metric system", "id": "31", "description_html": "Converting within the metric system", "title": "Converting within the metric system", "progress_key": "v31", "edit_slug": "edit/v/31", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting within the metric system", "extra_properties": null, "node_slug": "v/converting-within-the-metric-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uHaKyNplino.mp4/uHaKyNplino.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uHaKyNplino.mp4/uHaKyNplino.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uHaKyNplino.m3u8/uHaKyNplino.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uHaKyNplino&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v31", "sha": "cd5fd24418ee216374bf0e1f5fd30aa121d99258", "translated_description": "Converting within the metric system", "image_url": "https://img.youtube.com/vi/uHaKyNplino/hqdefault.jpg", "youtube_id": "uHaKyNplino", "content_kind": "Video", "readable_id": "converting-within-the-metric-system"}, {"translated_youtube_id": "q9XCrpLPfGk", "relative_url": "/video/perimeter-and-unit-conversion", "has_questions": false, "keywords": "u6_l2_t3_we1, Perimeter, and, Unit, Conversion", "ka_url": "http://www.khanacademy.org/video/perimeter-and-unit-conversion", "duration": 373, "translated_title": "Perimeter and unit conversion", "translated_description_html": "Perimeter and Unit Conversion", "id": "153770150", "description_html": "Perimeter and Unit Conversion", "title": "Perimeter and unit conversion", "progress_key": "v153770150", "edit_slug": "edit/v/153770150", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perimeter and Unit Conversion", "extra_properties": null, "node_slug": "v/perimeter-and-unit-conversion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q9XCrpLPfGk.mp4/q9XCrpLPfGk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q9XCrpLPfGk.mp4/q9XCrpLPfGk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q9XCrpLPfGk.m3u8/q9XCrpLPfGk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q9XCrpLPfGk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770150", "sha": "7e0c28564ef6b95cf05dc59c3354128010b40532", "translated_description": "Perimeter and Unit Conversion", "image_url": "https://img.youtube.com/vi/q9XCrpLPfGk/hqdefault.jpg", "youtube_id": "q9XCrpLPfGk", "content_kind": "Video", "readable_id": "perimeter-and-unit-conversion"}, {"translated_youtube_id": "CDvPPsB3nEM", "relative_url": "/video/applying-the-metric-system", "has_questions": false, "keywords": "U06_L2_T3_we1, Applying, the, Metric, System", "ka_url": "http://www.khanacademy.org/video/applying-the-metric-system", "duration": 343, "translated_title": "Applying the metric system", "translated_description_html": "U06_L2_T3_we1 Applying the Metric System", "id": "32", "description_html": "U06_L2_T3_we1 Applying the Metric System", "title": "Applying the metric system", "progress_key": "v32", "edit_slug": "edit/v/32", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U06_L2_T3_we1 Applying the Metric System", "extra_properties": null, "node_slug": "v/applying-the-metric-system", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CDvPPsB3nEM.mp4/CDvPPsB3nEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CDvPPsB3nEM.mp4/CDvPPsB3nEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CDvPPsB3nEM.m3u8/CDvPPsB3nEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CDvPPsB3nEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v32", "sha": "f66d3ebc2384362eb2e4c9821fa9d9366774a69e", "translated_description": "U06_L2_T3_we1 Applying the Metric System", "image_url": "https://img.youtube.com/vi/CDvPPsB3nEM/hqdefault.jpg", "youtube_id": "CDvPPsB3nEM", "content_kind": "Video", "readable_id": "applying-the-metric-system"}, {"translated_youtube_id": "SYkmadc2wOI", "relative_url": "/video/conversion-between-metric-units", "has_questions": false, "keywords": "U06_L2_T1_we2, Conversion, between, metric, units, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/conversion-between-metric-units", "duration": 316, "translated_title": "Conversion between metric units", "translated_description_html": "Conversion between metric units", "id": "30", "description_html": "Conversion between metric units", "title": "Conversion between metric units", "progress_key": "v30", "edit_slug": "edit/v/30", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conversion between metric units", "extra_properties": null, "node_slug": "v/conversion-between-metric-units", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SYkmadc2wOI.mp4/SYkmadc2wOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SYkmadc2wOI.mp4/SYkmadc2wOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SYkmadc2wOI.m3u8/SYkmadc2wOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SYkmadc2wOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v30", "sha": "ee719372df0aec151302abfce7c993003a1362b2", "translated_description": "Conversion between metric units", "image_url": "https://img.youtube.com/vi/SYkmadc2wOI/hqdefault.jpg", "youtube_id": "SYkmadc2wOI", "content_kind": "Video", "readable_id": "conversion-between-metric-units"}, {"translated_youtube_id": "y2RHWA7t0WM", "relative_url": "/video/u-s--customary-and-metric-units", "has_questions": false, "keywords": "U06_L2_T1_we1, U.S., Customary, and, Metric, units, CC_3_MD_2", "ka_url": "http://www.khanacademy.org/video/u-s--customary-and-metric-units", "duration": 310, "translated_title": "U.S. customary and metric units", "translated_description_html": "U.S. Customary and Metric units", "id": "29", "description_html": "U.S. Customary and Metric units", "title": "U.S. customary and metric units", "progress_key": "v29", "edit_slug": "edit/v/29", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U.S. Customary and Metric units", "extra_properties": null, "node_slug": "v/u-s--customary-and-metric-units", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y2RHWA7t0WM.mp4/y2RHWA7t0WM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y2RHWA7t0WM.mp4/y2RHWA7t0WM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y2RHWA7t0WM.m3u8/y2RHWA7t0WM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y2RHWA7t0WM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v29", "sha": "8c1dd99f7db5663beb20c30fa011ef5971378e01", "translated_description": "U.S. Customary and Metric units", "image_url": "https://img.youtube.com/vi/y2RHWA7t0WM/hqdefault.jpg", "youtube_id": "y2RHWA7t0WM", "content_kind": "Video", "readable_id": "u-s--customary-and-metric-units"}], "twitter_url": "", "translated_description": "If you're American, you might be surprised to realize that the rest of the world doesn't use feet, miles, or yards or a bunch of other \"English System\" conventions (the irony being that the English don't even use the \"English System\" any more). Most everyone else, including the English, now use the metric system which is actually much more logical.\n\nSo be prepared to learn about kilo and milli and centi and become a metric unit megastar!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you're American, you might be surprised to realize that the rest of the world doesn't use feet, miles, or yards or a bunch of other \"English System\" conventions (the irony being that the English don't even use the \"English System\" any more). Most everyone else, including the English, now use the metric system which is actually much more logical.\n\nSo be prepared to learn about kilo and milli and centi and become a metric unit megastar!", "x_pos": 0.0, "node_slug": "metric-system-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T15:27:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax09fddb3e", "topic_page_url": "/math/arithmetic/rates-and-ratios/metric-system-tutorial", "extended_slug": "math/arithmetic/rates-and-ratios/metric-system-tutorial", "slug": "metric-system-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e005648f56cfc48df5529064c6da46c1394f73b8", "standalone_title": "Metric system", "y_pos": 0.0, "current_revision_key": "e005648f56cfc48df5529064c6da46c1394f73b8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/rates-and-ratios/farenheit-celsius-conversion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/rates-and-ratios/farenheit-celsius-conversion", "translated_standalone_title": "Farenheit and Celsius unit conversion", "translated_title": "Farenheit and Celsius conversion", "gplus_url": "", "id": "x3e7429d6", "old_key_name": null, "hide": false, "title": "Farenheit and Celsius conversion", "child_data": [{"kind": "Video", "id": 153770151}, {"kind": "Video", "id": 33}], "children": [{"translated_youtube_id": "NqbkvEK46xM", "relative_url": "/video/converting-farenheit-to-celsius", "has_questions": false, "keywords": "Converting, Fahrenheit, to, Celsius, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/converting-farenheit-to-celsius", "duration": 178, "translated_title": "Converting Fahrenheit to Celsius", "translated_description_html": "Converting Fahrenheit to Celsius", "id": "153770151", "description_html": "Converting Fahrenheit to Celsius", "title": "Converting Fahrenheit to Celsius", "progress_key": "v153770151", "edit_slug": "edit/v/153770151", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting Fahrenheit to Celsius", "extra_properties": null, "node_slug": "v/converting-farenheit-to-celsius", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NqbkvEK46xM.mp4/NqbkvEK46xM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NqbkvEK46xM.mp4/NqbkvEK46xM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NqbkvEK46xM.m3u8/NqbkvEK46xM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NqbkvEK46xM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770151", "sha": "fcbede99c3c67814ee679a82675c6ce49ab2872c", "translated_description": "Converting Fahrenheit to Celsius", "image_url": "https://img.youtube.com/vi/NqbkvEK46xM/hqdefault.jpg", "youtube_id": "NqbkvEK46xM", "content_kind": "Video", "readable_id": "converting-farenheit-to-celsius"}, {"translated_youtube_id": "aASUZqJCHHA", "relative_url": "/video/comparing-celsius-and-farenheit-temperature-scales", "has_questions": false, "keywords": "U06_L3_T1_we1, Comparing, Celsius, and, Farenheit, temperature, scales, CC_6_RP_3_d", "ka_url": "http://www.khanacademy.org/video/comparing-celsius-and-farenheit-temperature-scales", "duration": 170, "translated_title": "Comparing Celsius and Farenheit temperature scales", "translated_description_html": "Comparing Celsius and Farenheit temperature scales", "id": "33", "description_html": "Comparing Celsius and Farenheit temperature scales", "title": "Comparing Celsius and Farenheit temperature scales", "progress_key": "v33", "edit_slug": "edit/v/33", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Celsius and Farenheit temperature scales", "extra_properties": null, "node_slug": "v/comparing-celsius-and-farenheit-temperature-scales", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aASUZqJCHHA.mp4/aASUZqJCHHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aASUZqJCHHA.mp4/aASUZqJCHHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aASUZqJCHHA.m3u8/aASUZqJCHHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aASUZqJCHHA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33", "sha": "59d3ccd50835b53bec6209d06f90349ad1fbe3f8", "translated_description": "Comparing Celsius and Farenheit temperature scales", "image_url": "https://img.youtube.com/vi/aASUZqJCHHA/hqdefault.jpg", "youtube_id": "aASUZqJCHHA", "content_kind": "Video", "readable_id": "comparing-celsius-and-farenheit-temperature-scales"}], "twitter_url": "", "translated_description": "There are three major conventions for measuring temperature in the world, Farenheit, Celsius and Kelvin. If converting between the three gives you cold feet, then this tutorial might warm them up.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "There are three major conventions for measuring temperature in the world, Farenheit, Celsius and Kelvin. If converting between the three gives you cold feet, then this tutorial might warm them up.", "x_pos": 0.0, "node_slug": "farenheit-celsius-conversion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T15:27:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e7429d6", "topic_page_url": "/math/arithmetic/rates-and-ratios/farenheit-celsius-conversion", "extended_slug": "math/arithmetic/rates-and-ratios/farenheit-celsius-conversion", "slug": "farenheit-celsius-conversion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "81deb4485d1f80cc2a2556c051061c4a7e254d2d", "standalone_title": "Farenheit and Celsius unit conversion", "y_pos": 0.0, "current_revision_key": "81deb4485d1f80cc2a2556c051061c4a7e254d2d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": null, "x_pos": -12.0, "node_slug": "rates-and-ratios", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T15:27:58Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax596e2fc5", "topic_page_url": "/math/arithmetic/rates-and-ratios", "extended_slug": "math/arithmetic/rates-and-ratios", "slug": "rates-and-ratios", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "41bec35ea70437f36eaad61a549cd5b352bbfb23", "standalone_title": "Rates and ratios", "y_pos": 29.0, "current_revision_key": "41bec35ea70437f36eaad61a549cd5b352bbfb23", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/statistics-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic", "translated_standalone_title": "Applying mathematical reasoning", "translated_title": "Applying mathematical reasoning", "gplus_url": "", "id": "x88a3e8df", "old_key_name": "RI8OP2UGDWg4yInmvxpjvPJFv8-nz_KSqdRKwLhL", "hide": false, "title": "Applying mathematical reasoning", "child_data": [{"kind": "Topic", "id": "x0d0964b6"}, {"kind": "Topic", "id": "x6bf74131"}, {"kind": "Topic", "id": "x06af0300"}, {"kind": "Topic", "id": "x0ed6d539"}, {"kind": "Topic", "id": "x3a299681"}, {"kind": "Topic", "id": "xd8fa23cd"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/reading_data", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/reading_data", "translated_standalone_title": "Reading and interpreting data", "translated_title": "Reading and interpreting data", "gplus_url": "", "id": "x0d0964b6", "old_key_name": "L__qcZ5BZR2F6UYl8vhFYYDUoKwSdIqwsQttX9EL", "hide": false, "title": "Reading and interpreting data", "child_data": [{"kind": "Video", "id": "x94f5ab1b"}, {"kind": "Exercise", "id": 277597973}, {"kind": "Video", "id": "x9216ed62"}, {"kind": "Exercise", "id": 277631368}, {"kind": "Video", "id": 380855565}, {"kind": "Video", "id": "xb424e537"}, {"kind": "Exercise", "id": 520819886}, {"kind": "Video", "id": 380860451}, {"kind": "Exercise", "id": 458500039}, {"kind": "Exercise", "id": 458495355}, {"kind": "Video", "id": 380854778}, {"kind": "Video", "id": 23768}, {"kind": "Video", "id": "x2548e1a0"}, {"kind": "Exercise", "id": 280662526}, {"kind": "Video", "id": "xc848f662"}, {"kind": "Exercise", "id": 458428444}, {"kind": "Video", "id": "x4f968262"}, {"kind": "Exercise", "id": 458405550}, {"kind": "Video", "id": "xb3b8475c"}, {"kind": "Exercise", "id": 720871331}, {"kind": "Video", "id": 380860452}, {"kind": "Exercise", "id": 292989605}, {"kind": "Video", "id": 380854780}, {"kind": "Video", "id": 380855564}], "children": [{"translated_youtube_id": "XxmS_7I6c7Y", "relative_url": "/video/reading-tables-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-tables-1", "duration": 126, "translated_title": "Reading tables 1", "translated_description_html": "", "id": "x94f5ab1b", "description_html": "", "title": "Reading tables 1", "progress_key": "vx94f5ab1b", "edit_slug": "edit/v/x94f5ab1b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-tables-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.mp4/XxmS_7I6c7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.mp4/XxmS_7I6c7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XxmS_7I6c7Y.m3u8/XxmS_7I6c7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XxmS_7I6c7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx94f5ab1b", "sha": "7eaf2c9a660c06871d4ccc362546ce274f400750", "translated_description": "", "image_url": "https://img.youtube.com/vi/XxmS_7I6c7Y/hqdefault.jpg", "youtube_id": "XxmS_7I6c7Y", "content_kind": "Video", "readable_id": "reading-tables-1"}, {"translated_youtube_id": "4QX-tMRR0TE", "relative_url": "/video/reading-tables-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-tables-2", "duration": 148, "translated_title": "Reading tables 2", "translated_description_html": "", "id": "x9216ed62", "description_html": "", "title": "Reading tables 2", "progress_key": "vx9216ed62", "edit_slug": "edit/v/x9216ed62", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-tables-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.mp4/4QX-tMRR0TE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.mp4/4QX-tMRR0TE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4QX-tMRR0TE.m3u8/4QX-tMRR0TE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4QX-tMRR0TE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9216ed62", "sha": "6686fd75a4113e4b9ed8f6232b933fcc93266df2", "translated_description": "", "image_url": "https://img.youtube.com/vi/4QX-tMRR0TE/hqdefault.jpg", "youtube_id": "4QX-tMRR0TE", "content_kind": "Video", "readable_id": "reading-tables-2"}, {"translated_youtube_id": "LEFE1km5ROY", "relative_url": "/video/u08-l1-t2-we3-stem-and-leaf-plots", "has_questions": false, "keywords": "u08_l1_t2_we3, Stem-and-leaf, Plots", "ka_url": "http://www.khanacademy.org/video/u08-l1-t2-we3-stem-and-leaf-plots", "duration": 358, "translated_title": "Stem-and-leaf plots", "translated_description_html": "Stem-and-leaf Plots", "id": "380855565", "description_html": "Stem-and-leaf Plots", "title": "Stem-and-leaf plots", "progress_key": "v380855565", "edit_slug": "edit/v/380855565", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stem-and-leaf Plots", "extra_properties": null, "node_slug": "v/u08-l1-t2-we3-stem-and-leaf-plots", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LEFE1km5ROY.mp4/LEFE1km5ROY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LEFE1km5ROY.mp4/LEFE1km5ROY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LEFE1km5ROY.m3u8/LEFE1km5ROY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LEFE1km5ROY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380855565", "sha": "e638846c74072debe448878a4f795d0f87f2c270", "translated_description": "Stem-and-leaf Plots", "image_url": "https://img.youtube.com/vi/LEFE1km5ROY/hqdefault.jpg", "youtube_id": "LEFE1km5ROY", "content_kind": "Video", "readable_id": "u08-l1-t2-we3-stem-and-leaf-plots"}, {"translated_youtube_id": "PXKHyT__B2k", "relative_url": "/video/reading-stem-and-leaf-plots", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-stem-and-leaf-plots", "duration": 188, "translated_title": "Reading stem and leaf plots", "translated_description_html": "", "id": "xb424e537", "description_html": "", "title": "Reading stem and leaf plots", "progress_key": "vxb424e537", "edit_slug": "edit/v/xb424e537", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-stem-and-leaf-plots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PXKHyT__B2k.mp4/PXKHyT__B2k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PXKHyT__B2k.mp4/PXKHyT__B2k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PXKHyT__B2k.m3u8/PXKHyT__B2k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PXKHyT__B2k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb424e537", "sha": "7e208911e6659169c720c08aa6ee859bbfe5be16", "translated_description": "", "image_url": "https://img.youtube.com/vi/PXKHyT__B2k/hqdefault.jpg", "youtube_id": "PXKHyT__B2k", "content_kind": "Video", "readable_id": "reading-stem-and-leaf-plots"}, {"translated_youtube_id": "qrVvpYt3Vl0", "relative_url": "/video/reading-pictographs", "has_questions": false, "keywords": "u08_l1_t1_we1, Reading, Pictographs", "ka_url": "http://www.khanacademy.org/video/reading-pictographs", "duration": 141, "translated_title": "Reading pictographs", "translated_description_html": "Reading Pictographs", "id": "380860451", "description_html": "Reading Pictographs", "title": "Reading pictographs", "progress_key": "v380860451", "edit_slug": "edit/v/380860451", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Pictographs", "extra_properties": null, "node_slug": "v/reading-pictographs", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.m3u8/qrVvpYt3Vl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qrVvpYt3Vl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860451", "sha": "f8ed520e7a9485f36cdaa716f3c763b3f757500a", "translated_description": "Reading Pictographs", "image_url": "https://img.youtube.com/vi/qrVvpYt3Vl0/hqdefault.jpg", "youtube_id": "qrVvpYt3Vl0", "content_kind": "Video", "readable_id": "reading-pictographs"}, {"translated_youtube_id": "kiQ6MUQZHSs", "relative_url": "/video/reading-bar-graphs", "has_questions": false, "keywords": "u08_l1_t1_we2, Reading, Bar, Graphs", "ka_url": "http://www.khanacademy.org/video/reading-bar-graphs", "duration": 179, "translated_title": "Reading bar graphs", "translated_description_html": "Reading Bar Graphs", "id": "380854778", "description_html": "Reading Bar Graphs", "title": "Reading bar graphs", "progress_key": "v380854778", "edit_slug": "edit/v/380854778", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Reading Bar Graphs", "extra_properties": null, "node_slug": "v/reading-bar-graphs", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kiQ6MUQZHSs.mp4/kiQ6MUQZHSs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kiQ6MUQZHSs.mp4/kiQ6MUQZHSs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kiQ6MUQZHSs.m3u8/kiQ6MUQZHSs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kiQ6MUQZHSs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854778", "sha": "5b8afae33f8047595a8b095daef0c3ce4517938d", "translated_description": "Reading Bar Graphs", "image_url": "https://img.youtube.com/vi/kiQ6MUQZHSs/hqdefault.jpg", "youtube_id": "kiQ6MUQZHSs", "content_kind": "Video", "readable_id": "reading-bar-graphs"}, {"translated_youtube_id": "4eLJGG2Ad30", "relative_url": "/video/histograms", "has_questions": false, "keywords": "Histograms, CC_6_SP_4", "ka_url": "http://www.khanacademy.org/video/histograms", "duration": 368, "translated_title": "Histograms", "translated_description_html": "Histograms", "id": "23768", "description_html": "Histograms", "title": "Histograms", "progress_key": "v23768", "edit_slug": "edit/v/23768", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Histograms", "extra_properties": null, "node_slug": "v/histograms", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4eLJGG2Ad30.mp4/4eLJGG2Ad30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4eLJGG2Ad30.mp4/4eLJGG2Ad30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4eLJGG2Ad30.m3u8/4eLJGG2Ad30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4eLJGG2Ad30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23768", "sha": "fa0b359f59c50a09d4a0734c525da3cf24914120", "translated_description": "Histograms", "image_url": "https://img.youtube.com/vi/4eLJGG2Ad30/hqdefault.jpg", "youtube_id": "4eLJGG2Ad30", "content_kind": "Video", "readable_id": "histograms"}, {"translated_youtube_id": "9YjXGLWMvCM", "relative_url": "/video/reading-bar-charts-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-1", "duration": 52, "translated_title": "Reading bar charts 1", "translated_description_html": "", "id": "x2548e1a0", "description_html": "", "title": "Reading bar charts 1", "progress_key": "vx2548e1a0", "edit_slug": "edit/v/x2548e1a0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.mp4/9YjXGLWMvCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.mp4/9YjXGLWMvCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9YjXGLWMvCM.m3u8/9YjXGLWMvCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9YjXGLWMvCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2548e1a0", "sha": "ba4e918c0fb90ae2d74db680bd371b874c038dfb", "translated_description": "", "image_url": "https://img.youtube.com/vi/9YjXGLWMvCM/hqdefault.jpg", "youtube_id": "9YjXGLWMvCM", "content_kind": "Video", "readable_id": "reading-bar-charts-1"}, {"translated_youtube_id": "woUQ9LLaees", "relative_url": "/video/creating-bar-charts-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/creating-bar-charts-1", "duration": 67, "translated_title": "Creating bar charts 1", "translated_description_html": "", "id": "xc848f662", "description_html": "", "title": "Creating bar charts 1", "progress_key": "vxc848f662", "edit_slug": "edit/v/xc848f662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/creating-bar-charts-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.mp4/woUQ9LLaees.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.mp4/woUQ9LLaees.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/woUQ9LLaees.m3u8/woUQ9LLaees.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=woUQ9LLaees&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc848f662", "sha": "dfd481d82ffda174e4643084c8f90ed987a456a4", "translated_description": "", "image_url": "https://img.youtube.com/vi/woUQ9LLaees/hqdefault.jpg", "youtube_id": "woUQ9LLaees", "content_kind": "Video", "readable_id": "creating-bar-charts-1"}, {"translated_youtube_id": "gnyHsgTFXIY", "relative_url": "/video/reading-bar-charts-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-2", "duration": 90, "translated_title": "Reading bar charts 2", "translated_description_html": "", "id": "x4f968262", "description_html": "", "title": "Reading bar charts 2", "progress_key": "vx4f968262", "edit_slug": "edit/v/x4f968262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-06T00:04:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.mp4/gnyHsgTFXIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.mp4/gnyHsgTFXIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gnyHsgTFXIY.m3u8/gnyHsgTFXIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gnyHsgTFXIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f968262", "sha": "882b68fb370312a492dc8ae0a940d1e85f6bdeae", "translated_description": "", "image_url": "https://img.youtube.com/vi/gnyHsgTFXIY/hqdefault.jpg", "youtube_id": "gnyHsgTFXIY", "content_kind": "Video", "readable_id": "reading-bar-charts-2"}, {"translated_youtube_id": "DGZNaKnbQo0", "relative_url": "/video/reading-bar-charts-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reading-bar-charts-3", "duration": 281, "translated_title": "Reading bar charts 3", "translated_description_html": "", "id": "xb3b8475c", "description_html": "", "title": "Reading bar charts 3", "progress_key": "vxb3b8475c", "edit_slug": "edit/v/xb3b8475c", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reading-bar-charts-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-06T00:04:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.mp4/DGZNaKnbQo0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.mp4/DGZNaKnbQo0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DGZNaKnbQo0.m3u8/DGZNaKnbQo0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DGZNaKnbQo0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb3b8475c", "sha": "f738561dc4752334e37de6a33d7866f80a32afbb", "translated_description": "", "image_url": "https://img.youtube.com/vi/DGZNaKnbQo0/hqdefault.jpg", "youtube_id": "DGZNaKnbQo0", "content_kind": "Video", "readable_id": "reading-bar-charts-3"}, {"translated_youtube_id": "36v2EXZRzUE", "relative_url": "/video/u08-l1-t2-we2-reading-line-graphs", "has_questions": false, "keywords": "u08_l1_t2_we2, Reading, Line, Graphs", "ka_url": "http://www.khanacademy.org/video/u08-l1-t2-we2-reading-line-graphs", "duration": 141, "translated_title": "Reading line graphs", "translated_description_html": "Reading Line Graphs", "id": "380860452", "description_html": "Reading Line Graphs", "title": "Reading line graphs", "progress_key": "v380860452", "edit_slug": "edit/v/380860452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Line Graphs", "extra_properties": null, "node_slug": "v/u08-l1-t2-we2-reading-line-graphs", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.mp4/36v2EXZRzUE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.mp4/36v2EXZRzUE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/36v2EXZRzUE.m3u8/36v2EXZRzUE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=36v2EXZRzUE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860452", "sha": "a3a056c9f2a74135cbb6cd012c377d2525c3a521", "translated_description": "Reading Line Graphs", "image_url": "https://img.youtube.com/vi/36v2EXZRzUE/hqdefault.jpg", "youtube_id": "36v2EXZRzUE", "content_kind": "Video", "readable_id": "u08-l1-t2-we2-reading-line-graphs"}, {"translated_youtube_id": "4JqH55rLGKY", "relative_url": "/video/reading-pie-graphs--circle-graphs", "has_questions": false, "keywords": "u08_l1_t2_we1, Reading, Pie, Graphs, (Circle, Graphs)", "ka_url": "http://www.khanacademy.org/video/reading-pie-graphs--circle-graphs", "duration": 189, "translated_title": "Reading pie graphs (circle graphs)", "translated_description_html": "Reading Pie Graphs (Circle Graphs)", "id": "380854780", "description_html": "Reading Pie Graphs (Circle Graphs)", "title": "Reading pie graphs (circle graphs)", "progress_key": "v380854780", "edit_slug": "edit/v/380854780", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Pie Graphs (Circle Graphs)", "extra_properties": null, "node_slug": "v/reading-pie-graphs--circle-graphs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4JqH55rLGKY.mp4/4JqH55rLGKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4JqH55rLGKY.mp4/4JqH55rLGKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4JqH55rLGKY.m3u8/4JqH55rLGKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4JqH55rLGKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854780", "sha": "4db8e521769a356fb73501e479390169ab5998b2", "translated_description": "Reading Pie Graphs (Circle Graphs)", "image_url": "https://img.youtube.com/vi/4JqH55rLGKY/hqdefault.jpg", "youtube_id": "4JqH55rLGKY", "content_kind": "Video", "readable_id": "reading-pie-graphs--circle-graphs"}, {"translated_youtube_id": "gs-OPF3KEGU", "relative_url": "/video/misleading-line-graphs", "has_questions": false, "keywords": "u08_l3_t1_we2, Misleading, Line, Graphs", "ka_url": "http://www.khanacademy.org/video/misleading-line-graphs", "duration": 293, "translated_title": "Misleading line graphs", "translated_description_html": "Misleading Line Graphs", "id": "380855564", "description_html": "Misleading Line Graphs", "title": "Misleading line graphs", "progress_key": "v380855564", "edit_slug": "edit/v/380855564", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Misleading Line Graphs", "extra_properties": null, "node_slug": "v/misleading-line-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gs-OPF3KEGU.mp4/gs-OPF3KEGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gs-OPF3KEGU.mp4/gs-OPF3KEGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gs-OPF3KEGU.m3u8/gs-OPF3KEGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gs-OPF3KEGU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380855564", "sha": "84c504cad7ba6cbbee04398ebe263f52f566a404", "translated_description": "Misleading Line Graphs", "image_url": "https://img.youtube.com/vi/gs-OPF3KEGU/hqdefault.jpg", "youtube_id": "gs-OPF3KEGU", "content_kind": "Video", "readable_id": "misleading-line-graphs"}], "twitter_url": "", "translated_description": "This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph. Good for someone new to these ideas. For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph. Good for someone new to these ideas. For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).", "x_pos": 0.0, "node_slug": "reading_data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T01:05:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0d0964b6", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/reading_data", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/reading_data", "slug": "reading_data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ead5aeff5ac06d19056a44108d615c54502489b8", "standalone_title": "Reading and interpreting data", "y_pos": 0.0, "current_revision_key": "ead5aeff5ac06d19056a44108d615c54502489b8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/multistep-word-problems-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/multistep-word-problems-tut", "translated_standalone_title": "Multistep word problems", "translated_title": "Multistep word problems", "gplus_url": "", "id": "x6bf74131", "old_key_name": null, "hide": false, "title": "Multistep word problems", "child_data": [{"kind": "Video", "id": "xf59a9468"}, {"kind": "Video", "id": "x602a9681"}, {"kind": "Video", "id": "xd55ad2ce"}, {"kind": "Exercise", "id": "x5315ceb6"}], "children": [{"translated_youtube_id": "GwycEivqYYI", "relative_url": "/video/multistep-word-problems-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-1", "duration": 220, "translated_title": "Multistep word problems example 1)", "translated_description_html": "", "id": "xf59a9468", "description_html": "", "title": "Multistep word problems example 1)", "progress_key": "vxf59a9468", "edit_slug": "edit/v/xf59a9468", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.mp4/GwycEivqYYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.mp4/GwycEivqYYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GwycEivqYYI.m3u8/GwycEivqYYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GwycEivqYYI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf59a9468", "sha": "497184e6be82544bfb4dd5caf53c06826f0290e2", "translated_description": "", "image_url": "https://img.youtube.com/vi/GwycEivqYYI/hqdefault.jpg", "youtube_id": "GwycEivqYYI", "content_kind": "Video", "readable_id": "multistep-word-problems-example-1"}, {"translated_youtube_id": "QfsK8ZyC_bE", "relative_url": "/video/multistep-word-problems-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-2", "duration": 145, "translated_title": "Multistep word problems example 2)", "translated_description_html": "", "id": "x602a9681", "description_html": "", "title": "Multistep word problems example 2)", "progress_key": "vx602a9681", "edit_slug": "edit/v/x602a9681", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.mp4/QfsK8ZyC_bE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.mp4/QfsK8ZyC_bE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QfsK8ZyC_bE.m3u8/QfsK8ZyC_bE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QfsK8ZyC_bE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx602a9681", "sha": "5fef9e381001c37dc1bf6ee0741397c1a437d67b", "translated_description": "", "image_url": "https://img.youtube.com/vi/QfsK8ZyC_bE/hqdefault.jpg", "youtube_id": "QfsK8ZyC_bE", "content_kind": "Video", "readable_id": "multistep-word-problems-example-2"}, {"translated_youtube_id": "-sSDb_wZqKQ", "relative_url": "/video/multistep-word-problems-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multistep-word-problems-example-3", "duration": 128, "translated_title": "Multistep word problems example 3)", "translated_description_html": "", "id": "xd55ad2ce", "description_html": "", "title": "Multistep word problems example 3)", "progress_key": "vxd55ad2ce", "edit_slug": "edit/v/xd55ad2ce", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/multistep-word-problems-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.mp4/-sSDb_wZqKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.mp4/-sSDb_wZqKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-sSDb_wZqKQ.m3u8/-sSDb_wZqKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-sSDb_wZqKQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd55ad2ce", "sha": "33bd001f7e1f5ef5920758b061f3b0c5ee59034a", "translated_description": "", "image_url": "https://img.youtube.com/vi/-sSDb_wZqKQ/hqdefault.jpg", "youtube_id": "-sSDb_wZqKQ", "content_kind": "Video", "readable_id": "multistep-word-problems-example-3"}], "twitter_url": "", "translated_description": "The world seldom gives you two numbers and tells you which operation to perform. More likely, you'll be presented with a bunch of information and you (yes, YOU) need to make sense of them. This tutorial gives you practice doing exactly that. When watching videos, pause and attempt it before Sal. Then work on as many problems as you want in the exercise at the end of the tutorial.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The world seldom gives you two numbers and tells you which operation to perform. More likely, you'll be presented with a bunch of information and you (yes, YOU) need to make sense of them. This tutorial gives you practice doing exactly that. When watching videos, pause and attempt it before Sal. Then work on as many problems as you want in the exercise at the end of the tutorial.", "x_pos": 0.0, "node_slug": "multistep-word-problems-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6bf74131", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/multistep-word-problems-tut", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/multistep-word-problems-tut", "slug": "multistep-word-problems-tut", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "72ef576d7fb2aa238415cce3a3fc9ce6af250f96", "standalone_title": "Multistep word problems", "y_pos": 0.0, "current_revision_key": "72ef576d7fb2aa238415cce3a3fc9ce6af250f96", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/greater-than-less-than", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/greater-than-less-than", "translated_standalone_title": "Greater than and less than basics", "translated_title": "Inequalties : Greater than and less than basics", "gplus_url": "", "id": "x06af0300", "old_key_name": null, "hide": false, "title": "Inequalties : Greater than and less than basics", "child_data": [{"kind": "Video", "id": "x48102d13"}, {"kind": "Exercise", "id": "x964ad333"}, {"kind": "Video", "id": "x5c4574ba"}, {"kind": "Video", "id": "xe3dc6ddd"}, {"kind": "Exercise", "id": "xb5482205"}, {"kind": "Video", "id": "xc0d659df"}, {"kind": "Exercise", "id": "xc7d12bda"}, {"kind": "Video", "id": 13179473}, {"kind": "Exercise", "id": 213214088}], "children": [{"translated_youtube_id": "nFsQA2Zvy1o", "relative_url": "/video/greater-than-and-less-than-symbols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/greater-than-and-less-than-symbols", "duration": 304, "translated_title": "Greater than and less than symbols", "translated_description_html": "", "id": "x48102d13", "description_html": "", "title": "Greater than and less than symbols", "progress_key": "vx48102d13", "edit_slug": "edit/v/x48102d13", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/greater-than-and-less-than-symbols", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T15:28:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nFsQA2Zvy1o.mp4/nFsQA2Zvy1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nFsQA2Zvy1o.mp4/nFsQA2Zvy1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nFsQA2Zvy1o.m3u8/nFsQA2Zvy1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nFsQA2Zvy1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx48102d13", "sha": "e7199c4b549d13396054d0d71c2fd4c994a00761", "translated_description": "", "image_url": "https://img.youtube.com/vi/nFsQA2Zvy1o/hqdefault.jpg", "youtube_id": "nFsQA2Zvy1o", "content_kind": "Video", "readable_id": "greater-than-and-less-than-symbols"}, {"translated_youtube_id": "ilWDSYnTEFs", "relative_url": "/video/plotting-inequalities-on-a-number-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/plotting-inequalities-on-a-number-line", "duration": 374, "translated_title": "Plotting inequalities on a number line", "translated_description_html": "", "id": "x5c4574ba", "description_html": "", "title": "Plotting inequalities on a number line", "progress_key": "vx5c4574ba", "edit_slug": "edit/v/x5c4574ba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/plotting-inequalities-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-16T15:28:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ilWDSYnTEFs.mp4/ilWDSYnTEFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ilWDSYnTEFs.mp4/ilWDSYnTEFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ilWDSYnTEFs.m3u8/ilWDSYnTEFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ilWDSYnTEFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c4574ba", "sha": "080ac0046586f788365f81ce0ca41c1721c586d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/ilWDSYnTEFs/hqdefault.jpg", "youtube_id": "ilWDSYnTEFs", "content_kind": "Video", "readable_id": "plotting-inequalities-on-a-number-line"}, {"translated_youtube_id": "3HD-Ak_a6VE", "relative_url": "/video/writing-numerical-inequalities-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-numerical-inequalities-exercise", "duration": 208, "translated_title": "Writing numerical inequalities exercise", "translated_description_html": "", "id": "xe3dc6ddd", "description_html": "", "title": "Writing numerical inequalities exercise", "progress_key": "vxe3dc6ddd", "edit_slug": "edit/v/xe3dc6ddd", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-numerical-inequalities-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-16T15:29:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3HD-Ak_a6VE.mp4/3HD-Ak_a6VE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3HD-Ak_a6VE.mp4/3HD-Ak_a6VE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3HD-Ak_a6VE.m3u8/3HD-Ak_a6VE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3HD-Ak_a6VE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe3dc6ddd", "sha": "9a41382c4d6941be165cb1a63d3ab2ccfc59c02f", "translated_description": "", "image_url": "https://img.youtube.com/vi/3HD-Ak_a6VE/hqdefault.jpg", "youtube_id": "3HD-Ak_a6VE", "content_kind": "Video", "readable_id": "writing-numerical-inequalities-exercise"}, {"translated_youtube_id": "aINeMQH77jg", "relative_url": "/video/inequalities-in-one-variable-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inequalities-in-one-variable-1-exercise", "duration": 147, "translated_title": "Inequalities in one variable 1 exercise", "translated_description_html": "", "id": "xc0d659df", "description_html": "", "title": "Inequalities in one variable 1 exercise", "progress_key": "vxc0d659df", "edit_slug": "edit/v/xc0d659df", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/inequalities-in-one-variable-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T15:28:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.mp4/aINeMQH77jg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.mp4/aINeMQH77jg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aINeMQH77jg.m3u8/aINeMQH77jg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aINeMQH77jg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc0d659df", "sha": "f73932224803220801a02006a0349a6d67cffa7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/aINeMQH77jg/hqdefault.jpg", "youtube_id": "aINeMQH77jg", "content_kind": "Video", "readable_id": "inequalities-in-one-variable-1-exercise"}, {"translated_youtube_id": "dTwZ5N126gw", "relative_url": "/video/inequalities-on-a-number-line", "has_questions": false, "keywords": "u10_l2_t1_we1, Inequalities, on, number, line, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4", "ka_url": "http://www.khanacademy.org/video/inequalities-on-a-number-line", "duration": 94, "translated_title": "Inequalities on a number line", "translated_description_html": "Inequalities on a number line", "id": "13179473", "description_html": "Inequalities on a number line", "title": "Inequalities on a number line", "progress_key": "v13179473", "edit_slug": "edit/v/13179473", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Inequalities on a number line", "extra_properties": null, "node_slug": "v/inequalities-on-a-number-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.m3u8/dTwZ5N126gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dTwZ5N126gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179473", "sha": "4559371fe139f630c78abe19e856c95aa2c7f687", "translated_description": "Inequalities on a number line", "image_url": "https://img.youtube.com/vi/dTwZ5N126gw/hqdefault.jpg", "youtube_id": "dTwZ5N126gw", "content_kind": "Video", "readable_id": "inequalities-on-a-number-line"}], "twitter_url": "", "translated_description": "Equality is usually a good thing, but the world is not a perfect place. No matter how hard we try, we can't help but compare one thing to another and realize how unequal they may be.\n\nThis tutorial gives you the tools to do these comparisons in the mathematical world (which we call inequalities). You'll become familiar with the \"greater than\" and \"less than symbols\" and learn to use them.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Equality is usually a good thing, but the world is not a perfect place. No matter how hard we try, we can't help but compare one thing to another and realize how unequal they may be.\n\nThis tutorial gives you the tools to do these comparisons in the mathematical world (which we call inequalities). You'll become familiar with the \"greater than\" and \"less than symbols\" and learn to use them.", "x_pos": 0.0, "node_slug": "greater-than-less-than", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:13:44Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax06af0300", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/greater-than-less-than", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/greater-than-less-than", "slug": "greater-than-less-than", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "58c7790c016808400b8389b18fdd25698253b436", "standalone_title": "Greater than and less than basics", "y_pos": 0.0, "current_revision_key": "58c7790c016808400b8389b18fdd25698253b436", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/cross-topic-arithmetic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/cross-topic-arithmetic", "translated_standalone_title": "Cross topic arithmetic", "translated_title": "Cross topic arithmetic", "gplus_url": "", "id": "x0ed6d539", "old_key_name": null, "hide": false, "title": "Cross topic arithmetic", "child_data": [{"kind": "Video", "id": "x39d05dd5"}, {"kind": "Video", "id": "x19dfbdfd"}, {"kind": "Video", "id": "x608113aa"}, {"kind": "Video", "id": 466047489}, {"kind": "Exercise", "id": "x950b4c30"}], "children": [{"translated_youtube_id": "MZpULgKhaEU", "relative_url": "/video/rational-number-word-problem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-1", "duration": 201, "translated_title": "Rational number word problem example 1", "translated_description_html": "", "id": "x39d05dd5", "description_html": "", "title": "Rational number word problem example 1", "progress_key": "vx39d05dd5", "edit_slug": "edit/v/x39d05dd5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.mp4/MZpULgKhaEU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.mp4/MZpULgKhaEU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MZpULgKhaEU.m3u8/MZpULgKhaEU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MZpULgKhaEU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39d05dd5", "sha": "0f343070a8f09a302077cc18d788908671c79465", "translated_description": "", "image_url": "https://img.youtube.com/vi/MZpULgKhaEU/hqdefault.jpg", "youtube_id": "MZpULgKhaEU", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-1"}, {"translated_youtube_id": "oqAgaGeBOAU", "relative_url": "/video/rational-number-word-problem-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-2", "duration": 153, "translated_title": "Rational number word problem example 2", "translated_description_html": "", "id": "x19dfbdfd", "description_html": "", "title": "Rational number word problem example 2", "progress_key": "vx19dfbdfd", "edit_slug": "edit/v/x19dfbdfd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.mp4/oqAgaGeBOAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.mp4/oqAgaGeBOAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqAgaGeBOAU.m3u8/oqAgaGeBOAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqAgaGeBOAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19dfbdfd", "sha": "f6228b9138552493a30fcaa4aeadc6e123c625a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/oqAgaGeBOAU/hqdefault.jpg", "youtube_id": "oqAgaGeBOAU", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-2"}, {"translated_youtube_id": "KiVGac1aBt8", "relative_url": "/video/rational-number-word-problem-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rational-number-word-problem-example-3", "duration": 248, "translated_title": "Rational number word problem example 3", "translated_description_html": "", "id": "x608113aa", "description_html": "", "title": "Rational number word problem example 3", "progress_key": "vx608113aa", "edit_slug": "edit/v/x608113aa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rational-number-word-problem-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-25T18:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.mp4/KiVGac1aBt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.mp4/KiVGac1aBt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KiVGac1aBt8.m3u8/KiVGac1aBt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KiVGac1aBt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx608113aa", "sha": "fd72499032e4871ba362efc1cb75cd5759efbd79", "translated_description": "", "image_url": "https://img.youtube.com/vi/KiVGac1aBt8/hqdefault.jpg", "youtube_id": "KiVGac1aBt8", "content_kind": "Video", "readable_id": "rational-number-word-problem-example-3"}, {"translated_youtube_id": "fFdOr8U4mnI", "relative_url": "/video/u09-l1-t2-we4-adding-real-numbers-application", "has_questions": false, "keywords": "u09, l1, t2, we4, Adding, Real, Numbers, Application", "ka_url": "http://www.khanacademy.org/video/u09-l1-t2-we4-adding-real-numbers-application", "duration": 195, "translated_title": "Adding decimals of different signs word problem", "translated_description_html": null, "id": "466047489", "description_html": null, "title": "Adding decimals of different signs word problem", "progress_key": "v466047489", "edit_slug": "edit/v/466047489", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/u09-l1-t2-we4-adding-real-numbers-application", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.mp4/fFdOr8U4mnI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fFdOr8U4mnI.m3u8/fFdOr8U4mnI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fFdOr8U4mnI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466047489", "sha": "55afa7edeb37a20c29dd23c45eef02a573d0a228", "translated_description": null, "image_url": "https://img.youtube.com/vi/fFdOr8U4mnI/hqdefault.jpg", "youtube_id": "fFdOr8U4mnI", "content_kind": "Video", "readable_id": "u09-l1-t2-we4-adding-real-numbers-application"}], "twitter_url": "", "translated_description": "You've probably been learning how to do arithmetic for some time and feel pretty good about it. This tutorial will make you feel even better once by showing you a bunch of examples of where it can be applied (using multiple skills at a time). Get through the exercises here and you really are an arithmetic rock star!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You've probably been learning how to do arithmetic for some time and feel pretty good about it. This tutorial will make you feel even better once by showing you a bunch of examples of where it can be applied (using multiple skills at a time). Get through the exercises here and you really are an arithmetic rock star!", "x_pos": 0.0, "node_slug": "cross-topic-arithmetic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T19:37:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ed6d539", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/cross-topic-arithmetic", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/cross-topic-arithmetic", "slug": "cross-topic-arithmetic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6829dedf26494797eb0c3deb564195cbb07ac961", "standalone_title": "Cross topic arithmetic", "y_pos": 0.0, "current_revision_key": "6829dedf26494797eb0c3deb564195cbb07ac961", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/number-patterns", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/number-patterns", "translated_standalone_title": "Number patterns", "translated_title": "Number patterns", "gplus_url": "", "id": "x3a299681", "old_key_name": null, "hide": false, "title": "Number patterns", "child_data": [{"kind": "Video", "id": "x429c2c78"}, {"kind": "Video", "id": "x8ad2e2cc"}, {"kind": "Video", "id": "xe158b503"}, {"kind": "Exercise", "id": "x64dd96ad"}, {"kind": "Video", "id": "xee7958b1"}, {"kind": "Video", "id": "x3ddc5e72"}, {"kind": "Video", "id": "x81be10de"}, {"kind": "Exercise", "id": "xa734b67f"}], "children": [{"translated_youtube_id": "S7CLLRHe8ik", "relative_url": "/video/figuring-out-days-of-the-week", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/figuring-out-days-of-the-week", "duration": 322, "translated_title": "Figuring out days of the week", "translated_description_html": "", "id": "x429c2c78", "description_html": "", "title": "Figuring out days of the week", "progress_key": "vx429c2c78", "edit_slug": "edit/v/x429c2c78", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/figuring-out-days-of-the-week", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-16T16:56:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S7CLLRHe8ik.mp4/S7CLLRHe8ik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S7CLLRHe8ik.mp4/S7CLLRHe8ik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S7CLLRHe8ik.m3u8/S7CLLRHe8ik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S7CLLRHe8ik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx429c2c78", "sha": "10b3ab7cedfbba5336a6c17de6e98182a16f9cd6", "translated_description": "", "image_url": "https://img.youtube.com/vi/S7CLLRHe8ik/hqdefault.jpg", "youtube_id": "S7CLLRHe8ik", "content_kind": "Video", "readable_id": "figuring-out-days-of-the-week"}, {"translated_youtube_id": "KSrnZMAfwTM", "relative_url": "/video/math-patterns-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/math-patterns-example-1", "duration": 218, "translated_title": "Math patterns example 1", "translated_description_html": "", "id": "x8ad2e2cc", "description_html": "", "title": "Math patterns example 1", "progress_key": "vx8ad2e2cc", "edit_slug": "edit/v/x8ad2e2cc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/math-patterns-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-16T16:56:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KSrnZMAfwTM.mp4/KSrnZMAfwTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KSrnZMAfwTM.mp4/KSrnZMAfwTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KSrnZMAfwTM.m3u8/KSrnZMAfwTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KSrnZMAfwTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8ad2e2cc", "sha": "14585aabd9e7b3bd0f699d64cdaa0b783427b2bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/KSrnZMAfwTM/hqdefault.jpg", "youtube_id": "KSrnZMAfwTM", "content_kind": "Video", "readable_id": "math-patterns-example-1"}, {"translated_youtube_id": "mFftY8Y_pyY", "relative_url": "/video/math-patterns-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/math-patterns-example-2", "duration": 341, "translated_title": "Math patterns example 2", "translated_description_html": "", "id": "xe158b503", "description_html": "", "title": "Math patterns example 2", "progress_key": "vxe158b503", "edit_slug": "edit/v/xe158b503", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/math-patterns-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-16T16:56:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mFftY8Y_pyY.mp4/mFftY8Y_pyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mFftY8Y_pyY.mp4/mFftY8Y_pyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mFftY8Y_pyY.m3u8/mFftY8Y_pyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mFftY8Y_pyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe158b503", "sha": "d98548ec39c321551efb7838710102dddda315bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/mFftY8Y_pyY/hqdefault.jpg", "youtube_id": "mFftY8Y_pyY", "content_kind": "Video", "readable_id": "math-patterns-example-2"}, {"translated_youtube_id": "ayRpoJgph0E", "relative_url": "/video/relationships-between-patterns", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/relationships-between-patterns", "duration": 156, "translated_title": "Relationships between patterns", "translated_description_html": "", "id": "xee7958b1", "description_html": "", "title": "Relationships between patterns", "progress_key": "vxee7958b1", "edit_slug": "edit/v/xee7958b1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/relationships-between-patterns", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T01:01:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ayRpoJgph0E.mp4/ayRpoJgph0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ayRpoJgph0E.mp4/ayRpoJgph0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ayRpoJgph0E.m3u8/ayRpoJgph0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ayRpoJgph0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxee7958b1", "sha": "8a4115a9a9e4fb0de7486bfd669bd7ed8ede7b49", "translated_description": "", "image_url": "https://img.youtube.com/vi/ayRpoJgph0E/hqdefault.jpg", "youtube_id": "ayRpoJgph0E", "content_kind": "Video", "readable_id": "relationships-between-patterns"}, {"translated_youtube_id": "HXg_a9oJ5nA", "relative_url": "/video/interpreting-relationships-between-patterns", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-relationships-between-patterns", "duration": 271, "translated_title": "Interpreting relationships between patterns", "translated_description_html": "", "id": "x3ddc5e72", "description_html": "", "title": "Interpreting relationships between patterns", "progress_key": "vx3ddc5e72", "edit_slug": "edit/v/x3ddc5e72", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-relationships-between-patterns", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-21T01:01:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HXg_a9oJ5nA.mp4/HXg_a9oJ5nA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HXg_a9oJ5nA.mp4/HXg_a9oJ5nA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HXg_a9oJ5nA.m3u8/HXg_a9oJ5nA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HXg_a9oJ5nA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3ddc5e72", "sha": "b120d751b0ee4e41de5e847bbc780abcb55a1596", "translated_description": "", "image_url": "https://img.youtube.com/vi/HXg_a9oJ5nA/hqdefault.jpg", "youtube_id": "HXg_a9oJ5nA", "content_kind": "Video", "readable_id": "interpreting-relationships-between-patterns"}, {"translated_youtube_id": "Muba9-W2FOQ", "relative_url": "/video/interpreting-and-graphing-relationships-between-patterns", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-and-graphing-relationships-between-patterns", "duration": 273, "translated_title": "Interpreting and graphing relationships between patterns", "translated_description_html": "", "id": "x81be10de", "description_html": "", "title": "Interpreting and graphing relationships between patterns", "progress_key": "vx81be10de", "edit_slug": "edit/v/x81be10de", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-and-graphing-relationships-between-patterns", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-21T01:01:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Muba9-W2FOQ.mp4/Muba9-W2FOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Muba9-W2FOQ.mp4/Muba9-W2FOQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Muba9-W2FOQ.m3u8/Muba9-W2FOQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Muba9-W2FOQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx81be10de", "sha": "9ac0893fd873ac321112b89efe76a4355ce37df7", "translated_description": "", "image_url": "https://img.youtube.com/vi/Muba9-W2FOQ/hqdefault.jpg", "youtube_id": "Muba9-W2FOQ", "content_kind": "Video", "readable_id": "interpreting-and-graphing-relationships-between-patterns"}], "twitter_url": "", "translated_description": "Let's explore how numbers can grow in different ways and use what we learn to figure out where they can go. We think you'll find this tutorial on number patterns more fun that you do :)\n\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's explore how numbers can grow in different ways and use what we learn to figure out where they can go. We think you'll find this tutorial on number patterns more fun that you do :)\n\n", "x_pos": 0.0, "node_slug": "number-patterns", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T01:04:38Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3a299681", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/number-patterns", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/number-patterns", "slug": "number-patterns", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "db25dfbba7b1ec0a4e5e64ee7fc17a5c7f2ca32b", "standalone_title": "Number patterns", "y_pos": 0.0, "current_revision_key": "db25dfbba7b1ec0a4e5e64ee7fc17a5c7f2ca32b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/applying-math-reasoning-topic/constructing-numeric-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/applying-math-reasoning-topic/constructing-numeric-expressions", "translated_standalone_title": "Constructing numeric expressions", "translated_title": "Constructing numeric expressions", "gplus_url": "", "id": "xd8fa23cd", "old_key_name": null, "hide": false, "title": "Constructing numeric expressions", "child_data": [{"kind": "Video", "id": "x926c9fdf"}, {"kind": "Video", "id": "x08aea3a7"}, {"kind": "Exercise", "id": "x5c137756"}], "children": [{"translated_youtube_id": "arY-EUZDNfk", "relative_url": "/video/constructing-numerical-expressions-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-numerical-expressions-example", "duration": 82, "translated_title": "Constructing numerical expressions example", "translated_description_html": "", "id": "x926c9fdf", "description_html": "", "title": "Constructing numerical expressions example", "progress_key": "vx926c9fdf", "edit_slug": "edit/v/x926c9fdf", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-numerical-expressions-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-21T16:39:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/arY-EUZDNfk.mp4/arY-EUZDNfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/arY-EUZDNfk.mp4/arY-EUZDNfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/arY-EUZDNfk.m3u8/arY-EUZDNfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=arY-EUZDNfk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx926c9fdf", "sha": "22a3381c895585261c9beeb890b39eb090ec819c", "translated_description": "", "image_url": "https://img.youtube.com/vi/arY-EUZDNfk/hqdefault.jpg", "youtube_id": "arY-EUZDNfk", "content_kind": "Video", "readable_id": "constructing-numerical-expressions-example"}, {"translated_youtube_id": "-rxUip6Ulnw", "relative_url": "/video/evaluating-an-expression-with-and-without-parentheses", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-an-expression-with-and-without-parentheses", "duration": 126, "translated_title": "Evaluating an expression with and without parentheses", "translated_description_html": "", "id": "x08aea3a7", "description_html": "", "title": "Evaluating an expression with and without parentheses", "progress_key": "vx08aea3a7", "edit_slug": "edit/v/x08aea3a7", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/evaluating-an-expression-with-and-without-parentheses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T16:39:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-rxUip6Ulnw.mp4/-rxUip6Ulnw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-rxUip6Ulnw.mp4/-rxUip6Ulnw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-rxUip6Ulnw.m3u8/-rxUip6Ulnw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-rxUip6Ulnw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx08aea3a7", "sha": "f728a80c4676e288c6ed42d1f570111e224d296e", "translated_description": "", "image_url": "https://img.youtube.com/vi/-rxUip6Ulnw/hqdefault.jpg", "youtube_id": "-rxUip6Ulnw", "content_kind": "Video", "readable_id": "evaluating-an-expression-with-and-without-parentheses"}], "twitter_url": "", "translated_description": "Let's construct and interpret expressions from word problems. We can also think about what the effects of parentheses are.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Let's construct and interpret expressions from word problems. We can also think about what the effects of parentheses are.", "x_pos": 0.0, "node_slug": "constructing-numeric-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T16:44:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd8fa23cd", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic/constructing-numeric-expressions", "extended_slug": "math/arithmetic/applying-math-reasoning-topic/constructing-numeric-expressions", "slug": "constructing-numeric-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9a52f43f6ebb6c6da08362f957e81eff5eef5ba0", "standalone_title": "Constructing numeric expressions", "y_pos": 0.0, "current_revision_key": "9a52f43f6ebb6c6da08362f957e81eff5eef5ba0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "You already have many tools in your mathematical toolkit. In this topic, you'll use these in settings that you're likely to encounter in the real world!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "You already have many tools in your mathematical toolkit. In this topic, you'll use these in settings that you're likely to encounter in the real world!", "x_pos": -23.0, "node_slug": "applying-math-reasoning-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T16:44:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax88a3e8df", "topic_page_url": "/math/arithmetic/applying-math-reasoning-topic", "extended_slug": "math/arithmetic/applying-math-reasoning-topic", "slug": "applying-math-reasoning-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6b8fb0ebdef1ea8fefd269e274ed09facd437b10", "standalone_title": "Applying mathematical reasoning", "y_pos": 17.0, "current_revision_key": "6b8fb0ebdef1ea8fefd269e274ed09facd437b10", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/exponents-radicals-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals", "translated_standalone_title": "Exponents, radicals, and scientific notation", "translated_title": "Exponents, radicals, and scientific notation", "gplus_url": "", "id": "x900d9176", "old_key_name": "MPdFDRjecgRDdWiCSi0t8Nak4vCyLeZrmU8Uy1a4", "hide": false, "title": "Exponents, radicals, and scientific notation", "child_data": [{"kind": "Topic", "id": "x73ae9bd0"}, {"kind": "Topic", "id": "x8ae08618"}, {"kind": "Topic", "id": "xd14e77db"}, {"kind": "Topic", "id": "xa3b2187b"}, {"kind": "Topic", "id": "x6dbdb353"}, {"kind": "Topic", "id": "x5bd0efd6"}, {"kind": "Topic", "id": "x52308fed"}, {"kind": "Topic", "id": "x0b0bab3a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/world-of-exponents", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/world-of-exponents", "translated_standalone_title": "The world of exponents", "translated_title": "The world of exponents", "gplus_url": "", "id": "x73ae9bd0", "old_key_name": "GF4IzIl4AZIkwKSY1MtpLPyzMjYxXvR8A05SSY9H", "hide": false, "title": "The world of exponents", "child_data": [{"kind": "Video", "id": "xfe1a8e1f"}, {"kind": "Video", "id": "x2bba124f"}, {"kind": "Video", "id": "xb66d1c1a"}, {"kind": "Video", "id": "x3603d5d1"}, {"kind": "Video", "id": "xc9cc5314"}, {"kind": "Video", "id": 2600693}, {"kind": "Video", "id": 2600692}, {"kind": "Exercise", "id": 3026}], "children": [{"translated_youtube_id": "XZRQhkii0h0", "relative_url": "/video/introduction-to-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-exponents", "duration": 183, "translated_title": "Introduction to exponents", "translated_description_html": "", "id": "xfe1a8e1f", "description_html": "", "title": "Introduction to exponents", "progress_key": "vxfe1a8e1f", "edit_slug": "edit/v/xfe1a8e1f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-exponents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.mp4/XZRQhkii0h0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XZRQhkii0h0.m3u8/XZRQhkii0h0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XZRQhkii0h0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe1a8e1f", "sha": "23d5fb729c0c19ab5c67df358ea5ddf546169244", "translated_description": "", "image_url": "https://img.youtube.com/vi/XZRQhkii0h0/hqdefault.jpg", "youtube_id": "XZRQhkii0h0", "content_kind": "Video", "readable_id": "introduction-to-exponents"}, {"translated_youtube_id": "dAvosUEUH6I", "relative_url": "/video/raising-a-number-to-the-0th-and-1st-power", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/raising-a-number-to-the-0th-and-1st-power", "duration": 307, "translated_title": "Raising a number to the 0th and 1st power", "translated_description_html": "", "id": "x2bba124f", "description_html": "", "title": "Raising a number to the 0th and 1st power", "progress_key": "vx2bba124f", "edit_slug": "edit/v/x2bba124f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/raising-a-number-to-the-0th-and-1st-power", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:57:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.mp4/dAvosUEUH6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.mp4/dAvosUEUH6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dAvosUEUH6I.m3u8/dAvosUEUH6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dAvosUEUH6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2bba124f", "sha": "8f19c2d3fa580df91bd71200390d3a745e387fdd", "translated_description": "", "image_url": "https://img.youtube.com/vi/dAvosUEUH6I/hqdefault.jpg", "youtube_id": "dAvosUEUH6I", "content_kind": "Video", "readable_id": "raising-a-number-to-the-0th-and-1st-power"}, {"translated_youtube_id": "jYOfMszfzAQ", "relative_url": "/video/powers-of-1-and---1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-1-and---1", "duration": 368, "translated_title": "Powers of 1 and -1", "translated_description_html": "", "id": "xb66d1c1a", "description_html": "", "title": "Powers of 1 and -1", "progress_key": "vxb66d1c1a", "edit_slug": "edit/v/xb66d1c1a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-1-and---1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.mp4/jYOfMszfzAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.mp4/jYOfMszfzAQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jYOfMszfzAQ.m3u8/jYOfMszfzAQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jYOfMszfzAQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb66d1c1a", "sha": "24e356fbd80b97d290485561668cb59d57c4ad30", "translated_description": "", "image_url": "https://img.youtube.com/vi/jYOfMszfzAQ/hqdefault.jpg", "youtube_id": "jYOfMszfzAQ", "content_kind": "Video", "readable_id": "powers-of-1-and---1"}, {"translated_youtube_id": "oEgeUk_Ix2c", "relative_url": "/video/powers-of-fractions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-fractions", "duration": 107, "translated_title": "Powers of fractions", "translated_description_html": "", "id": "x3603d5d1", "description_html": "", "title": "Powers of fractions", "progress_key": "vx3603d5d1", "edit_slug": "edit/v/x3603d5d1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.mp4/oEgeUk_Ix2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.mp4/oEgeUk_Ix2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oEgeUk_Ix2c.m3u8/oEgeUk_Ix2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oEgeUk_Ix2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3603d5d1", "sha": "d470d37701a64aa0274e7072976c5f9836d8e988", "translated_description": "", "image_url": "https://img.youtube.com/vi/oEgeUk_Ix2c/hqdefault.jpg", "youtube_id": "oEgeUk_Ix2c", "content_kind": "Video", "readable_id": "powers-of-fractions"}, {"translated_youtube_id": "PwDnpb_ZJvc", "relative_url": "/video/powers-of-zero", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/powers-of-zero", "duration": 255, "translated_title": "Powers of zero", "translated_description_html": "", "id": "xc9cc5314", "description_html": "", "title": "Powers of zero", "progress_key": "vxc9cc5314", "edit_slug": "edit/v/xc9cc5314", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/powers-of-zero", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.mp4/PwDnpb_ZJvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.mp4/PwDnpb_ZJvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PwDnpb_ZJvc.m3u8/PwDnpb_ZJvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PwDnpb_ZJvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc9cc5314", "sha": "0dbc83bc13aba73ff1d9e39b0e456adcbfdee0d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/PwDnpb_ZJvc/hqdefault.jpg", "youtube_id": "PwDnpb_ZJvc", "content_kind": "Video", "readable_id": "powers-of-zero"}, {"translated_youtube_id": "5qfOViJda_g", "relative_url": "/video/understanding-exponents-2", "has_questions": false, "keywords": "U01_L5_T1_we2, Understanding, Exponents, CC_6_EE_1", "ka_url": "http://www.khanacademy.org/video/understanding-exponents-2", "duration": 75, "translated_title": "Exponent example 1", "translated_description_html": "", "id": "2600693", "description_html": "", "title": "Exponent example 1", "progress_key": "v2600693", "edit_slug": "edit/v/2600693", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-exponents-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5qfOViJda_g.mp4/5qfOViJda_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5qfOViJda_g.mp4/5qfOViJda_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5qfOViJda_g.m3u8/5qfOViJda_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5qfOViJda_g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600693", "sha": "5ce87085d03867d39797822e35b8a4dd785cf302", "translated_description": "", "image_url": "https://img.youtube.com/vi/5qfOViJda_g/hqdefault.jpg", "youtube_id": "5qfOViJda_g", "content_kind": "Video", "readable_id": "understanding-exponents-2"}, {"translated_youtube_id": "mJ1P4A-KA8k", "relative_url": "/video/understanding-exponents", "has_questions": false, "keywords": "U01_L5_T1_we1, Understanding, Exponents, CC_6_EE_1", "ka_url": "http://www.khanacademy.org/video/understanding-exponents", "duration": 115, "translated_title": "Exponent example 2", "translated_description_html": "", "id": "2600692", "description_html": "", "title": "Exponent example 2", "progress_key": "v2600692", "edit_slug": "edit/v/2600692", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-exponents", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mJ1P4A-KA8k.mp4/mJ1P4A-KA8k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mJ1P4A-KA8k.mp4/mJ1P4A-KA8k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mJ1P4A-KA8k.m3u8/mJ1P4A-KA8k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mJ1P4A-KA8k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600692", "sha": "0787edd056cef415d5875a3f049dc888c847d63f", "translated_description": "", "image_url": "https://img.youtube.com/vi/mJ1P4A-KA8k/hqdefault.jpg", "youtube_id": "mJ1P4A-KA8k", "content_kind": "Video", "readable_id": "understanding-exponents"}], "twitter_url": "", "translated_description": "Addition was nice. Multiplication was cooler. In the mood for a new operation that grows numbers even faster? Ever felt like expressing repeated multiplication with less writing? Ever wanted to describe how most things in the universe grow and shrink? Well, exponents are your answer!\n\nThis tutorial covers everything from basic exponents to negative and fractional ones. It assumes you remember your multiplication, negative numbers and fractions.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Addition was nice. Multiplication was cooler. In the mood for a new operation that grows numbers even faster? Ever felt like expressing repeated multiplication with less writing? Ever wanted to describe how most things in the universe grow and shrink? Well, exponents are your answer!\n\nThis tutorial covers everything from basic exponents to negative and fractional ones. It assumes you remember your multiplication, negative numbers and fractions.", "x_pos": 0.0, "node_slug": "world-of-exponents", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-03T01:00:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax73ae9bd0", "topic_page_url": "/math/arithmetic/exponents-radicals/world-of-exponents", "extended_slug": "math/arithmetic/exponents-radicals/world-of-exponents", "slug": "world-of-exponents", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "10dde43f5fadb5cde4d8cbbc09594d91c60bfb78", "standalone_title": "The world of exponents", "y_pos": 0.0, "current_revision_key": "10dde43f5fadb5cde4d8cbbc09594d91c60bfb78", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/radical-radicals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals", "translated_standalone_title": "The square root", "translated_title": "The square root", "gplus_url": "", "id": "x8ae08618", "old_key_name": "Ng1KO727pa0-wohcdFyQCz7aBqmCa9bMEeyMnx4_", "hide": false, "title": "The square root", "child_data": [{"kind": "Video", "id": 2600694}, {"kind": "Exercise", "id": 720948123}, {"kind": "Video", "id": 125518448}, {"kind": "Exercise", "id": 899094160}, {"kind": "Video", "id": "x18b09b45"}, {"kind": "Video", "id": 25773}, {"kind": "Video", "id": 23610}, {"kind": "Exercise", "id": 3029}, {"kind": "Exercise", "id": 347994616}, {"kind": "Video", "id": 23744}, {"kind": "Exercise", "id": 347957645}], "children": [{"translated_youtube_id": "ROIfbUQrSY4", "relative_url": "/video/understanding-square-roots", "has_questions": false, "keywords": "U01_L5_T1_we3, Understanding, Square, Roots, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/understanding-square-roots", "duration": 81, "translated_title": "Understanding square roots", "translated_description_html": "Understanding Square Roots", "id": "2600694", "description_html": "Understanding Square Roots", "title": "Understanding square roots", "progress_key": "v2600694", "edit_slug": "edit/v/2600694", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding Square Roots", "extra_properties": null, "node_slug": "v/understanding-square-roots", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.mp4/ROIfbUQrSY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.mp4/ROIfbUQrSY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ROIfbUQrSY4.m3u8/ROIfbUQrSY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ROIfbUQrSY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600694", "sha": "115ac72f1bbf1197ac2e84862c999d371f5a14ba", "translated_description": "Understanding Square Roots", "image_url": "https://img.youtube.com/vi/ROIfbUQrSY4/hqdefault.jpg", "youtube_id": "ROIfbUQrSY4", "content_kind": "Video", "readable_id": "understanding-square-roots"}, {"translated_youtube_id": "EFVrAk61xjE", "relative_url": "/video/approximating-square-roots", "has_questions": false, "keywords": "u16_l1_t1_we2, Approximating, Square, Roots", "ka_url": "http://www.khanacademy.org/video/approximating-square-roots", "duration": 432, "translated_title": "Approximating square roots", "translated_description_html": "Approximating Square Roots", "id": "125518448", "description_html": "Approximating Square Roots", "title": "Approximating square roots", "progress_key": "v125518448", "edit_slug": "edit/v/125518448", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Approximating Square Roots", "extra_properties": null, "node_slug": "v/approximating-square-roots", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-06-22T23:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EFVrAk61xjE.mp4/EFVrAk61xjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EFVrAk61xjE.mp4/EFVrAk61xjE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EFVrAk61xjE.m3u8/EFVrAk61xjE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EFVrAk61xjE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v125518448", "sha": "07bbd970fa089d8c9d090660d67f9f0f6a20036a", "translated_description": "Approximating Square Roots", "image_url": "https://img.youtube.com/vi/EFVrAk61xjE/hqdefault.jpg", "youtube_id": "EFVrAk61xjE", "content_kind": "Video", "readable_id": "approximating-square-roots"}, {"translated_youtube_id": "cw3mp8oNASk", "relative_url": "/video/simplifying-square-roots-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simplifying-square-roots-1", "duration": 189, "translated_title": "Simplifying square roots", "translated_description_html": "", "id": "x18b09b45", "description_html": "", "title": "Simplifying square roots", "progress_key": "vx18b09b45", "edit_slug": "edit/v/x18b09b45", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/simplifying-square-roots-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T00:39:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cw3mp8oNASk.mp4/cw3mp8oNASk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cw3mp8oNASk.mp4/cw3mp8oNASk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cw3mp8oNASk.m3u8/cw3mp8oNASk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cw3mp8oNASk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx18b09b45", "sha": "6420a58320c7f0b638b204b973d9155144d9a7ed", "translated_description": "", "image_url": "https://img.youtube.com/vi/cw3mp8oNASk/hqdefault.jpg", "youtube_id": "cw3mp8oNASk", "content_kind": "Video", "readable_id": "simplifying-square-roots-1"}, {"translated_youtube_id": "6QJtWfIiyZo", "relative_url": "/video/simplifying-radicals", "has_questions": false, "keywords": "Math, radical, square, root, exponent, simplification", "ka_url": "http://www.khanacademy.org/video/simplifying-radicals", "duration": 585, "translated_title": "Simplifying radicals", "translated_description_html": "Using exponent rules to simplify radicals or square roots", "id": "25773", "description_html": "Using exponent rules to simplify radicals or square roots", "title": "Simplifying radicals", "progress_key": "v25773", "edit_slug": "edit/v/25773", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using exponent rules to simplify radicals or square roots", "extra_properties": null, "node_slug": "v/simplifying-radicals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6QJtWfIiyZo.mp4/6QJtWfIiyZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6QJtWfIiyZo.mp4/6QJtWfIiyZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6QJtWfIiyZo.m3u8/6QJtWfIiyZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6QJtWfIiyZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25773", "sha": "0e26a9f9b0ab6a1c56a189ab00b70c22fda0b26d", "translated_description": "Using exponent rules to simplify radicals or square roots", "image_url": "https://img.youtube.com/vi/6QJtWfIiyZo/hqdefault.jpg", "youtube_id": "6QJtWfIiyZo", "content_kind": "Video", "readable_id": "simplifying-radicals"}, {"translated_youtube_id": "BpBh8gvMifs", "relative_url": "/video/square-roots-and-real-numbers", "has_questions": false, "keywords": "Square, Roots, and, Real, Numbers, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/square-roots-and-real-numbers", "duration": 619, "translated_title": "Square roots and real numbers", "translated_description_html": null, "id": "23610", "description_html": null, "title": "Square roots and real numbers", "progress_key": "v23610", "edit_slug": "edit/v/23610", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/square-roots-and-real-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BpBh8gvMifs.mp4/BpBh8gvMifs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BpBh8gvMifs.mp4/BpBh8gvMifs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BpBh8gvMifs.m3u8/BpBh8gvMifs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BpBh8gvMifs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23610", "sha": "9ecb26d72340f527aed01aed34da4d3045743ab7", "translated_description": null, "image_url": "https://img.youtube.com/vi/BpBh8gvMifs/hqdefault.jpg", "youtube_id": "BpBh8gvMifs", "content_kind": "Video", "readable_id": "square-roots-and-real-numbers"}, {"translated_youtube_id": "VWlFMfPVmkU", "relative_url": "/video/more-simplifying-radical-expressions", "has_questions": false, "keywords": "More, Simplifying, Radical, Expressions", "ka_url": "http://www.khanacademy.org/video/more-simplifying-radical-expressions", "duration": 477, "translated_title": "Adding and simplifying radicals", "translated_description_html": "

More Simplifying Radical Expressions<\/p>\n", "id": "23744", "description_html": "

More Simplifying Radical Expressions<\/p>\n", "title": "Adding and simplifying radicals", "progress_key": "v23744", "edit_slug": "edit/v/23744", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More Simplifying Radical Expressions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/more-simplifying-radical-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VWlFMfPVmkU.mp4/VWlFMfPVmkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VWlFMfPVmkU.mp4/VWlFMfPVmkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VWlFMfPVmkU.m3u8/VWlFMfPVmkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VWlFMfPVmkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23744", "sha": "40c6a501cceb53c9066af7fba7c62239b8bb3f75", "translated_description": "More Simplifying Radical Expressions\n", "image_url": "https://img.youtube.com/vi/VWlFMfPVmkU/hqdefault.jpg", "youtube_id": "VWlFMfPVmkU", "content_kind": "Video", "readable_id": "more-simplifying-radical-expressions"}], "twitter_url": "", "translated_description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root? How can I simplify, multiply and add these things? \n\nThis tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root? How can I simplify, multiply and add these things? \n\nThis tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!", "x_pos": 0.0, "node_slug": "radical-radicals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T00:42:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8ae08618", "topic_page_url": "/math/arithmetic/exponents-radicals/radical-radicals", "extended_slug": "math/arithmetic/exponents-radicals/radical-radicals", "slug": "radical-radicals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e1ce5aecaa1062231d37ec8a9239a68ab27bdd6f", "standalone_title": "The square root", "y_pos": 0.0, "current_revision_key": "e1ce5aecaa1062231d37ec8a9239a68ab27bdd6f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/cube-root-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/cube-root-tutorial", "translated_standalone_title": "The cube root", "translated_title": "The cube root", "gplus_url": "", "id": "xd14e77db", "old_key_name": null, "hide": false, "title": "The cube root", "child_data": [{"kind": "Video", "id": 126711578}, {"kind": "Video", "id": "xc78d5735"}, {"kind": "Video", "id": 8187330}, {"kind": "Exercise", "id": 720817477}, {"kind": "Exercise", "id": "x365db013"}], "children": [{"translated_youtube_id": "DKh16Th8x6o", "relative_url": "/video/finding-cube-roots", "has_questions": false, "keywords": "u16_l1_t2_we2, Finding, Cube, Roots", "ka_url": "http://www.khanacademy.org/video/finding-cube-roots", "duration": 258, "translated_title": "Finding cube roots", "translated_description_html": "Finding Cube Roots", "id": "126711578", "description_html": "Finding Cube Roots", "title": "Finding cube roots", "progress_key": "v126711578", "edit_slug": "edit/v/126711578", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding Cube Roots", "extra_properties": null, "node_slug": "v/finding-cube-roots", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.mp4/DKh16Th8x6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.mp4/DKh16Th8x6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DKh16Th8x6o.m3u8/DKh16Th8x6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DKh16Th8x6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711578", "sha": "b650c5f9369b8c476622e1ea02c0d76f0da9f379", "translated_description": "Finding Cube Roots", "image_url": "https://img.youtube.com/vi/DKh16Th8x6o/hqdefault.jpg", "youtube_id": "DKh16Th8x6o", "content_kind": "Video", "readable_id": "finding-cube-roots"}, {"translated_youtube_id": "8y7xP4zz0UY", "relative_url": "/video/simplifying-cube-roots-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simplifying-cube-roots-1", "duration": 291, "translated_title": "Cube root of a non-perfect cube", "translated_description_html": "", "id": "xc78d5735", "description_html": "", "title": "Cube root of a non-perfect cube", "progress_key": "vxc78d5735", "edit_slug": "edit/v/xc78d5735", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/simplifying-cube-roots-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T00:39:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8y7xP4zz0UY.mp4/8y7xP4zz0UY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8y7xP4zz0UY.mp4/8y7xP4zz0UY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8y7xP4zz0UY.m3u8/8y7xP4zz0UY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8y7xP4zz0UY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc78d5735", "sha": "42f77036e566e49774ae174aaeaa081d11ffda5e", "translated_description": "", "image_url": "https://img.youtube.com/vi/8y7xP4zz0UY/hqdefault.jpg", "youtube_id": "8y7xP4zz0UY", "content_kind": "Video", "readable_id": "simplifying-cube-roots-1"}, {"translated_youtube_id": "drhoIgAhlQM", "relative_url": "/video/simplifying-radical-expressions1", "has_questions": false, "keywords": "U07_L3_T1_we1, Simplifying, Radical, Expressions1", "ka_url": "http://www.khanacademy.org/video/simplifying-radical-expressions1", "duration": 157, "translated_title": "Simplifying a cube root", "translated_description_html": "

Simplifying Radical Expressions1<\/p>\n", "id": "8187330", "description_html": "

Simplifying Radical Expressions1<\/p>\n", "title": "Simplifying a cube root", "progress_key": "v8187330", "edit_slug": "edit/v/8187330", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simplifying Radical Expressions1\n", "extra_properties": {"original_url": ""}, "node_slug": "v/simplifying-radical-expressions1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/drhoIgAhlQM.mp4/drhoIgAhlQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/drhoIgAhlQM.mp4/drhoIgAhlQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/drhoIgAhlQM.m3u8/drhoIgAhlQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=drhoIgAhlQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187330", "sha": "131c4d93b2e629762be77960886a9012c47ea8bb", "translated_description": "Simplifying Radical Expressions1\n", "image_url": "https://img.youtube.com/vi/drhoIgAhlQM/hqdefault.jpg", "youtube_id": "drhoIgAhlQM", "content_kind": "Video", "readable_id": "simplifying-radical-expressions1"}], "twitter_url": "", "translated_description": "If you're familiar with the idea of a square root, we're about to take things one step (dimension?) further with the cube root. This generally refers to finding a number that ,when cubed, is equal to the number that you're trying to find the cube root of!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "If you're familiar with the idea of a square root, we're about to take things one step (dimension?) further with the cube root. This generally refers to finding a number that ,when cubed, is equal to the number that you're trying to find the cube root of!", "x_pos": 0.0, "node_slug": "cube-root-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T00:42:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd14e77db", "topic_page_url": "/math/arithmetic/exponents-radicals/cube-root-tutorial", "extended_slug": "math/arithmetic/exponents-radicals/cube-root-tutorial", "slug": "cube-root-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2f8974825a319439448c6e4c63305bcf4d2d186", "standalone_title": "The cube root", "y_pos": 0.0, "current_revision_key": "a2f8974825a319439448c6e4c63305bcf4d2d186", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/exponent-properties", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/exponent-properties", "translated_standalone_title": "Exponent properties", "translated_title": "Exponent properties", "gplus_url": "", "id": "xa3b2187b", "old_key_name": "tGezf451wUZ48LPiIkoVIiB5REKDoEW5k3x5qpy0", "hide": false, "title": "Exponent properties", "child_data": [{"kind": "Video", "id": 25769}, {"kind": "Video", "id": 25771}, {"kind": "Video", "id": 23688}, {"kind": "Exercise", "id": 2022}], "children": [{"translated_youtube_id": "kITJ6qH7jS0", "relative_url": "/video/exponent-rules-part-1", "has_questions": false, "keywords": "Math, exponents, exponent, rules, Khan, Academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-1", "duration": 583, "translated_title": "Exponent rules part 1", "translated_description_html": "Introduction to exponent rules", "id": "25769", "description_html": "Introduction to exponent rules", "title": "Exponent rules part 1", "progress_key": "v25769", "edit_slug": "edit/v/25769", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to exponent rules", "extra_properties": null, "node_slug": "v/exponent-rules-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.m3u8/kITJ6qH7jS0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kITJ6qH7jS0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25769", "sha": "e2b19a149a119a34161603e6b302284c333e7918", "translated_description": "Introduction to exponent rules", "image_url": "https://img.youtube.com/vi/kITJ6qH7jS0/hqdefault.jpg", "youtube_id": "kITJ6qH7jS0", "content_kind": "Video", "readable_id": "exponent-rules-part-1"}, {"translated_youtube_id": "rEtuPhl6930", "relative_url": "/video/exponent-rules-part-2", "has_questions": false, "keywords": "Math, exponents, algebra, exponent, rules, khan, academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-2", "duration": 463, "translated_title": "Exponent rules part 2", "translated_description_html": "2 more exponent rules with an introduction to composite problems", "id": "25771", "description_html": "2 more exponent rules with an introduction to composite problems", "title": "Exponent rules part 2", "progress_key": "v25771", "edit_slug": "edit/v/25771", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 more exponent rules with an introduction to composite problems", "extra_properties": null, "node_slug": "v/exponent-rules-part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.m3u8/rEtuPhl6930.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rEtuPhl6930&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25771", "sha": "c6d09bd26549b9d8e73f95b645f807a7270450b4", "translated_description": "2 more exponent rules with an introduction to composite problems", "image_url": "https://img.youtube.com/vi/rEtuPhl6930/hqdefault.jpg", "youtube_id": "rEtuPhl6930", "content_kind": "Video", "readable_id": "exponent-rules-part-2"}, {"translated_youtube_id": "AR1uqNbjM5s", "relative_url": "/video/exponent-properties-involving-quotients", "has_questions": false, "keywords": "Exponent, Properties, Involving, Quotients, CC_8_EE_1, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/exponent-properties-involving-quotients", "duration": 562, "translated_title": "Exponent properties involving quotients", "translated_description_html": "Exponent Properties Involving Quotients", "id": "23688", "description_html": "Exponent Properties Involving Quotients", "title": "Exponent properties involving quotients", "progress_key": "v23688", "edit_slug": "edit/v/23688", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exponent Properties Involving Quotients", "extra_properties": null, "node_slug": "v/exponent-properties-involving-quotients", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.m3u8/AR1uqNbjM5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AR1uqNbjM5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23688", "sha": "4cb1016f9b7e1949f238c672a40c8889e2d42998", "translated_description": "Exponent Properties Involving Quotients", "image_url": "https://img.youtube.com/vi/AR1uqNbjM5s/hqdefault.jpg", "youtube_id": "AR1uqNbjM5s", "content_kind": "Video", "readable_id": "exponent-properties-involving-quotients"}], "twitter_url": "", "translated_description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.", "x_pos": 0.0, "node_slug": "exponent-properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa3b2187b", "topic_page_url": "/math/arithmetic/exponents-radicals/exponent-properties", "extended_slug": "math/arithmetic/exponents-radicals/exponent-properties", "slug": "exponent-properties", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bcd3659f6de18b541bf07f7f1c8642bcdcd613a5", "standalone_title": "Exponent properties", "y_pos": 0.0, "current_revision_key": "bcd3659f6de18b541bf07f7f1c8642bcdcd613a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/negative-exponents-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/negative-exponents-tutorial", "translated_standalone_title": "Negative and fractional exponents", "translated_title": "Negative and fractional exponents", "gplus_url": "", "id": "x6dbdb353", "old_key_name": null, "hide": false, "title": "Negative and fractional exponents", "child_data": [{"kind": "Video", "id": "x9ecf1c5c"}, {"kind": "Video", "id": 25767}, {"kind": "Video", "id": 23690}, {"kind": "Exercise", "id": 3027}, {"kind": "Video", "id": "x77aefe04"}, {"kind": "Video", "id": "x22d2b44c"}, {"kind": "Video", "id": "x86a0dd64"}, {"kind": "Exercise", "id": 3028}, {"kind": "Video", "id": "x6f810954"}, {"kind": "Exercise", "id": 196075508}], "children": [{"translated_youtube_id": "JnpqlXN9Whw", "relative_url": "/video/negative-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-exponents", "duration": 434, "translated_title": "Negative exponents", "translated_description_html": "", "id": "x9ecf1c5c", "description_html": "", "title": "Negative exponents", "progress_key": "vx9ecf1c5c", "edit_slug": "edit/v/x9ecf1c5c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-exponents", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-02T21:34:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.mp4/JnpqlXN9Whw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.mp4/JnpqlXN9Whw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JnpqlXN9Whw.m3u8/JnpqlXN9Whw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JnpqlXN9Whw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ecf1c5c", "sha": "e15f0a5fb0930baf090e3bdfcf191102a404bc6a", "translated_description": "", "image_url": "https://img.youtube.com/vi/JnpqlXN9Whw/hqdefault.jpg", "youtube_id": "JnpqlXN9Whw", "content_kind": "Video", "readable_id": "negative-exponents"}, {"translated_youtube_id": "Tqpcku0hrPU", "relative_url": "/video/negative-exponent-intuition", "has_questions": false, "keywords": "negative, exponent, intuition, CC_6_EE_1", "ka_url": "http://www.khanacademy.org/video/negative-exponent-intuition", "duration": 278, "translated_title": "Negative exponent intuition", "translated_description_html": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "id": "25767", "description_html": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "title": "Negative exponent intuition", "progress_key": "v25767", "edit_slug": "edit/v/25767", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "extra_properties": null, "node_slug": "v/negative-exponent-intuition", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.mp4/Tqpcku0hrPU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.mp4/Tqpcku0hrPU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tqpcku0hrPU.m3u8/Tqpcku0hrPU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tqpcku0hrPU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25767", "sha": "c12f1d7fe9878aec14f24f49f050136f9ea42a3c", "translated_description": "Intuition on why a^-b = 1/(a^b) (and why a^0 =1)", "image_url": "https://img.youtube.com/vi/Tqpcku0hrPU/hqdefault.jpg", "youtube_id": "Tqpcku0hrPU", "content_kind": "Video", "readable_id": "negative-exponent-intuition"}, {"translated_youtube_id": "tOuCdKqO6-s", "relative_url": "/video/zero--negative--and-fractional-exponents", "has_questions": false, "keywords": "Zero, Negative, and, Fractional, Exponents, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/zero--negative--and-fractional-exponents", "duration": 844, "translated_title": "Zero, negative, and fractional exponents", "translated_description_html": "Zero, Negative, and Fractional Exponents", "id": "23690", "description_html": "Zero, Negative, and Fractional Exponents", "title": "Zero, negative, and fractional exponents", "progress_key": "v23690", "edit_slug": "edit/v/23690", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Zero, Negative, and Fractional Exponents", "extra_properties": null, "node_slug": "v/zero--negative--and-fractional-exponents", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tOuCdKqO6-s.mp4/tOuCdKqO6-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tOuCdKqO6-s.mp4/tOuCdKqO6-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tOuCdKqO6-s.m3u8/tOuCdKqO6-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tOuCdKqO6-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23690", "sha": "1e50e19187c005808defa1d5006f42c3a72238e7", "translated_description": "Zero, Negative, and Fractional Exponents", "image_url": "https://img.youtube.com/vi/tOuCdKqO6-s/hqdefault.jpg", "youtube_id": "tOuCdKqO6-s", "content_kind": "Video", "readable_id": "zero--negative--and-fractional-exponents"}, {"translated_youtube_id": "lZfXc4nHooo", "relative_url": "/video/basic-fractional-exponents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-fractional-exponents", "duration": 300, "translated_title": "Basic fractional exponents", "translated_description_html": "", "id": "x77aefe04", "description_html": "", "title": "Basic fractional exponents", "progress_key": "vx77aefe04", "edit_slug": "edit/v/x77aefe04", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/basic-fractional-exponents", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-02T21:34:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lZfXc4nHooo.mp4/lZfXc4nHooo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lZfXc4nHooo.mp4/lZfXc4nHooo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lZfXc4nHooo.m3u8/lZfXc4nHooo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lZfXc4nHooo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx77aefe04", "sha": "37e1ab4167ac9b81c0517a322244e2b5495fbd20", "translated_description": "", "image_url": "https://img.youtube.com/vi/lZfXc4nHooo/hqdefault.jpg", "youtube_id": "lZfXc4nHooo", "content_kind": "Video", "readable_id": "basic-fractional-exponents"}, {"translated_youtube_id": "tn53EdOr6Rw", "relative_url": "/video/negative-fractional-exponent-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-fractional-exponent-examples", "duration": 182, "translated_title": "Negative fractional exponent examples", "translated_description_html": "", "id": "x22d2b44c", "description_html": "", "title": "Negative fractional exponent examples", "progress_key": "vx22d2b44c", "edit_slug": "edit/v/x22d2b44c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-fractional-exponent-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T21:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tn53EdOr6Rw.mp4/tn53EdOr6Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tn53EdOr6Rw.mp4/tn53EdOr6Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tn53EdOr6Rw.m3u8/tn53EdOr6Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tn53EdOr6Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx22d2b44c", "sha": "59a722cb93304bedc7502fa2ba411d7f60cbf771", "translated_description": "", "image_url": "https://img.youtube.com/vi/tn53EdOr6Rw/hqdefault.jpg", "youtube_id": "tn53EdOr6Rw", "content_kind": "Video", "readable_id": "negative-fractional-exponent-examples"}, {"translated_youtube_id": "bIFdW0NZ9W4", "relative_url": "/video/negative-fractional-exponent-examples-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/negative-fractional-exponent-examples-2", "duration": 204, "translated_title": "Negative fractional exponent examples 2", "translated_description_html": "", "id": "x86a0dd64", "description_html": "", "title": "Negative fractional exponent examples 2", "progress_key": "vx86a0dd64", "edit_slug": "edit/v/x86a0dd64", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/negative-fractional-exponent-examples-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T21:34:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bIFdW0NZ9W4.mp4/bIFdW0NZ9W4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bIFdW0NZ9W4.mp4/bIFdW0NZ9W4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bIFdW0NZ9W4.m3u8/bIFdW0NZ9W4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bIFdW0NZ9W4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx86a0dd64", "sha": "84238f266fd4b4afc44676cc79e82745108e6162", "translated_description": "", "image_url": "https://img.youtube.com/vi/bIFdW0NZ9W4/hqdefault.jpg", "youtube_id": "bIFdW0NZ9W4", "content_kind": "Video", "readable_id": "negative-fractional-exponent-examples-2"}, {"translated_youtube_id": "S34NM0Po0eA", "relative_url": "/video/fractional-exponents-with-numerators-other-than-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fractional-exponents-with-numerators-other-than-1", "duration": 354, "translated_title": "Fractional exponents with numerators other than 1", "translated_description_html": "", "id": "x6f810954", "description_html": "", "title": "Fractional exponents with numerators other than 1", "progress_key": "vx6f810954", "edit_slug": "edit/v/x6f810954", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fractional-exponents-with-numerators-other-than-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-02T21:34:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S34NM0Po0eA.mp4/S34NM0Po0eA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S34NM0Po0eA.mp4/S34NM0Po0eA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S34NM0Po0eA.m3u8/S34NM0Po0eA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S34NM0Po0eA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f810954", "sha": "4b126069f8549525220755b478b3b615f4a44997", "translated_description": "", "image_url": "https://img.youtube.com/vi/S34NM0Po0eA/hqdefault.jpg", "youtube_id": "S34NM0Po0eA", "content_kind": "Video", "readable_id": "fractional-exponents-with-numerators-other-than-1"}], "twitter_url": "", "translated_description": "It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents. And fractional exponents are even more fun.\n\nThis idea will open up entirely new vistas to your mathematical life. ", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents. And fractional exponents are even more fun.\n\nThis idea will open up entirely new vistas to your mathematical life. ", "x_pos": 0.0, "node_slug": "negative-exponents-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-02T21:39:03Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6dbdb353", "topic_page_url": "/math/arithmetic/exponents-radicals/negative-exponents-tutorial", "extended_slug": "math/arithmetic/exponents-radicals/negative-exponents-tutorial", "slug": "negative-exponents-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cffc75aad5f12a5e8e70063068e743feefa1d33e", "standalone_title": "Negative and fractional exponents", "y_pos": 0.0, "current_revision_key": "cffc75aad5f12a5e8e70063068e743feefa1d33e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/scientific-notation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/scientific-notation", "translated_standalone_title": "Scientific notation", "translated_title": "Scientific notation", "gplus_url": "", "id": "x5bd0efd6", "old_key_name": "pIARbIotqQ344PfJw1fLgzHPunRmmMrBkz0fZ1xw", "hide": false, "title": "Scientific notation", "child_data": [{"kind": "Video", "id": 25785}, {"kind": "Video", "id": 4802223}, {"kind": "Exercise", "id": 530344408}, {"kind": "Video", "id": 25787}, {"kind": "Video", "id": 13179507}, {"kind": "Video", "id": 13179508}, {"kind": "Exercise", "id": 5265923}], "children": [{"translated_youtube_id": "trdbaV4TaAo", "relative_url": "/video/scientific-notation--old", "has_questions": false, "keywords": "scientific, notation, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation--old", "duration": 1248, "translated_title": "Introduction to scientific notation", "translated_description_html": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "id": "25785", "description_html": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "title": "Introduction to scientific notation", "progress_key": "v25785", "edit_slug": "edit/v/25785", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation--old", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.mp4/trdbaV4TaAo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.mp4/trdbaV4TaAo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/trdbaV4TaAo.m3u8/trdbaV4TaAo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=trdbaV4TaAo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v25785", "sha": "d675b72c1bc38de01ebf2340f6410821987e46fa", "translated_description": "Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used.", "image_url": "https://img.youtube.com/vi/trdbaV4TaAo/hqdefault.jpg", "youtube_id": "trdbaV4TaAo", "content_kind": "Video", "readable_id": "scientific-notation--old"}, {"translated_youtube_id": "i6lfVUp5RW8", "relative_url": "/video/scientific-notation", "has_questions": false, "keywords": "Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation", "duration": 686, "translated_title": "Scientific notation", "translated_description_html": "Scientific Notation", "id": "4802223", "description_html": "Scientific Notation", "title": "Scientific notation", "progress_key": "v4802223", "edit_slug": "edit/v/4802223", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Scientific Notation", "extra_properties": null, "node_slug": "v/scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.m3u8/i6lfVUp5RW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i6lfVUp5RW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802223", "sha": "94ecb15bb835f2e1b9360a21b38df9f704c5cd3f", "translated_description": "Scientific Notation", "image_url": "https://img.youtube.com/vi/i6lfVUp5RW8/hqdefault.jpg", "youtube_id": "i6lfVUp5RW8", "content_kind": "Video", "readable_id": "scientific-notation"}, {"translated_youtube_id": "0Dd-y_apbRw", "relative_url": "/video/scientific-notation-examples", "has_questions": false, "keywords": "scientific, notation, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-examples", "duration": 769, "translated_title": "Scientific notation examples", "translated_description_html": "More scientific notation examples", "id": "25787", "description_html": "More scientific notation examples", "title": "Scientific notation examples", "progress_key": "v25787", "edit_slug": "edit/v/25787", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More scientific notation examples", "extra_properties": null, "node_slug": "v/scientific-notation-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.mp4/0Dd-y_apbRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.mp4/0Dd-y_apbRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0Dd-y_apbRw.m3u8/0Dd-y_apbRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0Dd-y_apbRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25787", "sha": "30cfe7df087afee87d08d371ee9b48c1efccfb5e", "translated_description": "More scientific notation examples", "image_url": "https://img.youtube.com/vi/0Dd-y_apbRw/hqdefault.jpg", "youtube_id": "0Dd-y_apbRw", "content_kind": "Video", "readable_id": "scientific-notation-examples"}, {"translated_youtube_id": "6phoVfGKKec", "relative_url": "/video/scientific-notation-i", "has_questions": false, "keywords": "u11_l1_t4_we1, Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation-i", "duration": 252, "translated_title": "Scientific notation I", "translated_description_html": "Scientific Notation I", "id": "13179507", "description_html": "Scientific Notation I", "title": "Scientific notation I", "progress_key": "v13179507", "edit_slug": "edit/v/13179507", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Scientific Notation I", "extra_properties": null, "node_slug": "v/scientific-notation-i", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.mp4/6phoVfGKKec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.mp4/6phoVfGKKec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6phoVfGKKec.m3u8/6phoVfGKKec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6phoVfGKKec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179507", "sha": "a250bfe5245950825a16d964aa825f9580f830ef", "translated_description": "Scientific Notation I", "image_url": "https://img.youtube.com/vi/6phoVfGKKec/hqdefault.jpg", "youtube_id": "6phoVfGKKec", "content_kind": "Video", "readable_id": "scientific-notation-i"}, {"translated_youtube_id": "xxAFh-qHPPA", "relative_url": "/video/scientific-notation-example-2", "has_questions": false, "keywords": "u11_l1_t4_we2, Scientific, Notation, CC_5_NBT_2, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-example-2", "duration": 323, "translated_title": "Scientific notation example 2", "translated_description_html": "Scientific Notation 2", "id": "13179508", "description_html": "Scientific Notation 2", "title": "Scientific notation example 2", "progress_key": "v13179508", "edit_slug": "edit/v/13179508", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Scientific Notation 2", "extra_properties": null, "node_slug": "v/scientific-notation-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.mp4/xxAFh-qHPPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.mp4/xxAFh-qHPPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xxAFh-qHPPA.m3u8/xxAFh-qHPPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xxAFh-qHPPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179508", "sha": "3ee5a177251850be06af97cc753c08b092bd2c67", "translated_description": "Scientific Notation 2", "image_url": "https://img.youtube.com/vi/xxAFh-qHPPA/hqdefault.jpg", "youtube_id": "xxAFh-qHPPA", "content_kind": "Video", "readable_id": "scientific-notation-example-2"}], "twitter_url": "", "translated_description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!", "x_pos": 0.0, "node_slug": "scientific-notation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T15:59:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5bd0efd6", "topic_page_url": "/math/arithmetic/exponents-radicals/scientific-notation", "extended_slug": "math/arithmetic/exponents-radicals/scientific-notation", "slug": "scientific-notation", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "2a7c163bb6250a2b014e682a8a5cd47d255bdc36", "standalone_title": "Scientific notation", "y_pos": 0.0, "current_revision_key": "2a7c163bb6250a2b014e682a8a5cd47d255bdc36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/orders-of-magnitude", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/orders-of-magnitude", "translated_standalone_title": "Orders of magnitude", "translated_title": "Orders of magnitude", "gplus_url": "", "id": "x52308fed", "old_key_name": null, "hide": false, "title": "Orders of magnitude", "child_data": [{"kind": "Video", "id": "x4bccbc14"}, {"kind": "Exercise", "id": "x0cead198"}, {"kind": "Video", "id": "x8d4019b2"}, {"kind": "Video", "id": "xe58a764b"}, {"kind": "Exercise", "id": "xc77006e0"}], "children": [{"translated_youtube_id": "pYaIjA4CsKo", "relative_url": "/video/patterns-in-zeros-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/patterns-in-zeros-exercise", "duration": 416, "translated_title": "Patterns in zeros exercise", "translated_description_html": "", "id": "x4bccbc14", "description_html": "", "title": "Patterns in zeros exercise", "progress_key": "vx4bccbc14", "edit_slug": "edit/v/x4bccbc14", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/patterns-in-zeros-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.mp4/pYaIjA4CsKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.mp4/pYaIjA4CsKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pYaIjA4CsKo.m3u8/pYaIjA4CsKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pYaIjA4CsKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4bccbc14", "sha": "7235161f5782af04a3535908a51c4387803abc42", "translated_description": "", "image_url": "https://img.youtube.com/vi/pYaIjA4CsKo/hqdefault.jpg", "youtube_id": "pYaIjA4CsKo", "content_kind": "Video", "readable_id": "patterns-in-zeros-exercise"}, {"translated_youtube_id": "cK1egPBjJXE", "relative_url": "/video/orders-of-magnitude-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/orders-of-magnitude-exercise-example-1", "duration": 106, "translated_title": "Orders of magnitude exercise example 1", "translated_description_html": "", "id": "x8d4019b2", "description_html": "", "title": "Orders of magnitude exercise example 1", "progress_key": "vx8d4019b2", "edit_slug": "edit/v/x8d4019b2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/orders-of-magnitude-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.mp4/cK1egPBjJXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.mp4/cK1egPBjJXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cK1egPBjJXE.m3u8/cK1egPBjJXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cK1egPBjJXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8d4019b2", "sha": "bd2c9e2dd7f7288b303e29e87a1ed2cded7a0a31", "translated_description": "", "image_url": "https://img.youtube.com/vi/cK1egPBjJXE/hqdefault.jpg", "youtube_id": "cK1egPBjJXE", "content_kind": "Video", "readable_id": "orders-of-magnitude-exercise-example-1"}, {"translated_youtube_id": "DaoJmvqU3FI", "relative_url": "/video/orders-of-magnitude-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/orders-of-magnitude-exercise-example-2", "duration": 348, "translated_title": "Orders of magnitude exercise example 2", "translated_description_html": "", "id": "xe58a764b", "description_html": "", "title": "Orders of magnitude exercise example 2", "progress_key": "vxe58a764b", "edit_slug": "edit/v/xe58a764b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/orders-of-magnitude-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.mp4/DaoJmvqU3FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.mp4/DaoJmvqU3FI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DaoJmvqU3FI.m3u8/DaoJmvqU3FI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DaoJmvqU3FI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe58a764b", "sha": "90b9d415d21aff6349f9764898c5e3f72e5dc051", "translated_description": "", "image_url": "https://img.youtube.com/vi/DaoJmvqU3FI/hqdefault.jpg", "youtube_id": "DaoJmvqU3FI", "content_kind": "Video", "readable_id": "orders-of-magnitude-exercise-example-2"}], "twitter_url": "", "translated_description": "When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of \"orders of magnitude\". This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of \"orders of magnitude\". This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.", "x_pos": 0.0, "node_slug": "orders-of-magnitude", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T15:59:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax52308fed", "topic_page_url": "/math/arithmetic/exponents-radicals/orders-of-magnitude", "extended_slug": "math/arithmetic/exponents-radicals/orders-of-magnitude", "slug": "orders-of-magnitude", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4f19083fda1b299f9341fb8c9d3e68877a734ca6", "standalone_title": "Orders of magnitude", "y_pos": 0.0, "current_revision_key": "4f19083fda1b299f9341fb8c9d3e68877a734ca6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/exponents-radicals/computing-scientific-notation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/exponents-radicals/computing-scientific-notation", "translated_standalone_title": "Computing with scientific notation", "translated_title": "Computing with scientific notation", "gplus_url": "", "id": "x0b0bab3a", "old_key_name": null, "hide": false, "title": "Computing with scientific notation", "child_data": [{"kind": "Video", "id": 466009718}, {"kind": "Video", "id": 13179509}, {"kind": "Video", "id": 26898}, {"kind": "Video", "id": "xdf6e3aee"}, {"kind": "Exercise", "id": 643305766}, {"kind": "Video", "id": "x80584388"}, {"kind": "Video", "id": "x767b7883"}, {"kind": "Exercise", "id": "x24245395"}], "children": [{"translated_youtube_id": "67jn5Zv-myg", "relative_url": "/video/multiplying-in-scientific-notation", "has_questions": false, "keywords": "u11_l1_t4_we_int, Multiplying, in, Scientific, Notation", "ka_url": "http://www.khanacademy.org/video/multiplying-in-scientific-notation", "duration": 455, "translated_title": "Multiplying in scientific notation", "translated_description_html": "u11_l1_t4_we_int Multiplying in Scientific Notation", "id": "466009718", "description_html": "u11_l1_t4_we_int Multiplying in Scientific Notation", "title": "Multiplying in scientific notation", "progress_key": "v466009718", "edit_slug": "edit/v/466009718", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "u11_l1_t4_we_int Multiplying in Scientific Notation", "extra_properties": null, "node_slug": "v/multiplying-in-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.mp4/67jn5Zv-myg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.mp4/67jn5Zv-myg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/67jn5Zv-myg.m3u8/67jn5Zv-myg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=67jn5Zv-myg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466009718", "sha": "b08eafb8acd5737361bbad050ef5044c33624514", "translated_description": "u11_l1_t4_we_int Multiplying in Scientific Notation", "image_url": "https://img.youtube.com/vi/67jn5Zv-myg/hqdefault.jpg", "youtube_id": "67jn5Zv-myg", "content_kind": "Video", "readable_id": "multiplying-in-scientific-notation"}, {"translated_youtube_id": "dD71fFNwVJw", "relative_url": "/video/scientific-notation-3--new", "has_questions": false, "keywords": "u11_l1_t4_we3, Scientific, Notation, CC_5_NBT_2, CC_8_EE_3, CC_8_EE_4", "ka_url": "http://www.khanacademy.org/video/scientific-notation-3--new", "duration": 267, "translated_title": "Multiplying in scientific notation example", "translated_description_html": "Multiplying in scientific notation example", "id": "13179509", "description_html": "Multiplying in scientific notation example", "title": "Multiplying in scientific notation example", "progress_key": "v13179509", "edit_slug": "edit/v/13179509", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying in scientific notation example", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation-3--new", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.mp4/dD71fFNwVJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.mp4/dD71fFNwVJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dD71fFNwVJw.m3u8/dD71fFNwVJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dD71fFNwVJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179509", "sha": "79524621311341520ee4132177b61702dab61e83", "translated_description": "Multiplying in scientific notation example", "image_url": "https://img.youtube.com/vi/dD71fFNwVJw/hqdefault.jpg", "youtube_id": "dD71fFNwVJw", "content_kind": "Video", "readable_id": "scientific-notation-3--new"}, {"translated_youtube_id": "XJBwJjP2_hM", "relative_url": "/video/scientific-notation-3", "has_questions": false, "keywords": "U07_L1_T2_we3, Scientific, notation", "ka_url": "http://www.khanacademy.org/video/scientific-notation-3", "duration": 381, "translated_title": "Dividing in scientific notation example", "translated_description_html": "Example showing how to divide two numbers expressed in scientific notation", "id": "26898", "description_html": "Example showing how to divide two numbers expressed in scientific notation", "title": "Dividing in scientific notation example", "progress_key": "v26898", "edit_slug": "edit/v/26898", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example showing how to divide two numbers expressed in scientific notation", "extra_properties": {"original_url": ""}, "node_slug": "v/scientific-notation-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.mp4/XJBwJjP2_hM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.mp4/XJBwJjP2_hM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XJBwJjP2_hM.m3u8/XJBwJjP2_hM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XJBwJjP2_hM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26898", "sha": "dd7eabad8f53c763f5a5e1d5b89caf12eae1802e", "translated_description": "Example showing how to divide two numbers expressed in scientific notation", "image_url": "https://img.youtube.com/vi/XJBwJjP2_hM/hqdefault.jpg", "youtube_id": "XJBwJjP2_hM", "content_kind": "Video", "readable_id": "scientific-notation-3"}, {"translated_youtube_id": "497oIjqRPco", "relative_url": "/video/multiplying-and-dividing-in-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-in-scientific-notation", "duration": 173, "translated_title": "Multiplying and dividing in scientific notation", "translated_description_html": "", "id": "xdf6e3aee", "description_html": "", "title": "Multiplying and dividing in scientific notation", "progress_key": "vxdf6e3aee", "edit_slug": "edit/v/xdf6e3aee", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-and-dividing-in-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T15:55:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.mp4/497oIjqRPco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.mp4/497oIjqRPco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/497oIjqRPco.m3u8/497oIjqRPco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=497oIjqRPco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf6e3aee", "sha": "53f217fa91153d3099400ec6829abf934eeedf84", "translated_description": "", "image_url": "https://img.youtube.com/vi/497oIjqRPco/hqdefault.jpg", "youtube_id": "497oIjqRPco", "content_kind": "Video", "readable_id": "multiplying-and-dividing-in-scientific-notation"}, {"translated_youtube_id": "EbmgLiSVACU", "relative_url": "/video/simplifying-a-complicated-expression-into-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simplifying-a-complicated-expression-into-scientific-notation", "duration": 352, "translated_title": "Simplifying a complicated expression into scientific notation", "translated_description_html": "", "id": "x80584388", "description_html": "", "title": "Simplifying a complicated expression into scientific notation", "progress_key": "vx80584388", "edit_slug": "edit/v/x80584388", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/simplifying-a-complicated-expression-into-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T15:55:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.mp4/EbmgLiSVACU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.mp4/EbmgLiSVACU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EbmgLiSVACU.m3u8/EbmgLiSVACU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EbmgLiSVACU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx80584388", "sha": "7dc1ac048c4650cbc4d64ec8e7af9829711740ef", "translated_description": "", "image_url": "https://img.youtube.com/vi/EbmgLiSVACU/hqdefault.jpg", "youtube_id": "EbmgLiSVACU", "content_kind": "Video", "readable_id": "simplifying-a-complicated-expression-into-scientific-notation"}, {"translated_youtube_id": "0lOpqmTdtzk", "relative_url": "/video/calculating-red-blood-cells-in-the-body-using-scientific-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-red-blood-cells-in-the-body-using-scientific-notation", "duration": 286, "translated_title": "Calculating red blood cells in the body using scientific notation", "translated_description_html": "", "id": "x767b7883", "description_html": "", "title": "Calculating red blood cells in the body using scientific notation", "progress_key": "vx767b7883", "edit_slug": "edit/v/x767b7883", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/calculating-red-blood-cells-in-the-body-using-scientific-notation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-20T15:55:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.mp4/0lOpqmTdtzk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.mp4/0lOpqmTdtzk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0lOpqmTdtzk.m3u8/0lOpqmTdtzk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0lOpqmTdtzk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx767b7883", "sha": "1b28585d92efe60f4f11ff7bf18620a214dd59d2", "translated_description": "", "image_url": "https://img.youtube.com/vi/0lOpqmTdtzk/hqdefault.jpg", "youtube_id": "0lOpqmTdtzk", "content_kind": "Video", "readable_id": "calculating-red-blood-cells-in-the-body-using-scientific-notation"}], "twitter_url": "", "translated_description": "You already understand what scientific notation is. Now you'll actually use it to compute values and solve real-world problems.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You already understand what scientific notation is. Now you'll actually use it to compute values and solve real-world problems.", "x_pos": 0.0, "node_slug": "computing-scientific-notation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T15:59:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0b0bab3a", "topic_page_url": "/math/arithmetic/exponents-radicals/computing-scientific-notation", "extended_slug": "math/arithmetic/exponents-radicals/computing-scientific-notation", "slug": "computing-scientific-notation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5370d961a4b564987d9633d537eac823dd69dbd4", "standalone_title": "Computing with scientific notation", "y_pos": 0.0, "current_revision_key": "5370d961a4b564987d9633d537eac823dd69dbd4", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding and solving exponents without algebra.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding and solving exponents without algebra.", "x_pos": 4.0, "node_slug": "exponents-radicals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T15:59:27Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax900d9176", "topic_page_url": "/math/arithmetic/exponents-radicals", "extended_slug": "math/arithmetic/exponents-radicals", "slug": "exponents-radicals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2ab9c1a515c2923a5f1b807c31c29d2fca92bbb", "standalone_title": "Exponents, radicals, and scientific notation", "y_pos": 21.0, "current_revision_key": "a2ab9c1a515c2923a5f1b807c31c29d2fca92bbb", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/order-of-operations-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations", "translated_standalone_title": "Arithmetic properties", "translated_title": "Arithmetic properties", "gplus_url": "", "id": "x910b651b", "old_key_name": "XrktPu74_wbKu_89ocp_AJFmuV0pYodt0QnFR1Ab", "hide": false, "title": "Arithmetic properties", "child_data": [{"kind": "Topic", "id": "x1c431121"}, {"kind": "Topic", "id": "x6e6e5a19"}, {"kind": "Topic", "id": "x3e413c3a"}, {"kind": "Topic", "id": "xb51beafb"}, {"kind": "Topic", "id": "x21626da4"}, {"kind": "Topic", "id": "xddc83183"}, {"kind": "Topic", "id": "x492f7e87"}, {"kind": "Topic", "id": "x54ba2e1f"}, {"kind": "Topic", "id": "xc467dadf"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/place_value", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/place_value", "translated_standalone_title": "Place value", "translated_title": "Place value", "gplus_url": "", "id": "x1c431121", "old_key_name": "zmWdEXxR-Q1_0nIo5CJ1-ZGf95ffjc6PbBLrR9qI", "hide": false, "title": "Place value", "child_data": [{"kind": "Video", "id": 2600657}, {"kind": "Video", "id": 2600658}, {"kind": "Video", "id": 2600659}, {"kind": "Exercise", "id": 195728164}, {"kind": "Video", "id": "xf7f64fc8"}, {"kind": "Exercise", "id": 720787733}, {"kind": "Video", "id": "x19b4a5d9"}, {"kind": "Video", "id": "x958d77f4"}, {"kind": "Exercise", "id": "x1f6e2286"}, {"kind": "Video", "id": "x280befac"}], "children": [{"translated_youtube_id": "jxA8MffVmPs", "relative_url": "/video/place-value-1", "has_questions": false, "keywords": "U01_L1_T1_we1, Place, Value, CC_2_NBT_6", "ka_url": "http://www.khanacademy.org/video/place-value-1", "duration": 145, "translated_title": "Place value 1", "translated_description_html": "Place Value 1", "id": "2600657", "description_html": "Place Value 1", "title": "Place value 1", "progress_key": "v2600657", "edit_slug": "edit/v/2600657", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 1", "extra_properties": null, "node_slug": "v/place-value-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.m3u8/jxA8MffVmPs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jxA8MffVmPs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600657", "sha": "34e29118781721521e09334a2a532e91ccec8f7f", "translated_description": "Place Value 1", "image_url": "https://img.youtube.com/vi/jxA8MffVmPs/hqdefault.jpg", "youtube_id": "jxA8MffVmPs", "content_kind": "Video", "readable_id": "place-value-1"}, {"translated_youtube_id": "wd4cRAoBOiE", "relative_url": "/video/place-value-2", "has_questions": false, "keywords": "U01_L1_T1_we2, Place, Value", "ka_url": "http://www.khanacademy.org/video/place-value-2", "duration": 249, "translated_title": "Place value 2", "translated_description_html": "Place Value 2", "id": "2600658", "description_html": "Place Value 2", "title": "Place value 2", "progress_key": "v2600658", "edit_slug": "edit/v/2600658", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 2", "extra_properties": null, "node_slug": "v/place-value-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.m3u8/wd4cRAoBOiE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wd4cRAoBOiE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600658", "sha": "8a5680de20c1b8729cdc97082702b3d14e75290d", "translated_description": "Place Value 2", "image_url": "https://img.youtube.com/vi/wd4cRAoBOiE/hqdefault.jpg", "youtube_id": "wd4cRAoBOiE", "content_kind": "Video", "readable_id": "place-value-2"}, {"translated_youtube_id": "iK0y39rjBgQ", "relative_url": "/video/place-value-3", "has_questions": false, "keywords": "U01_L1_T1_we3, Place, Value", "ka_url": "http://www.khanacademy.org/video/place-value-3", "duration": 320, "translated_title": "Place value 3", "translated_description_html": "Place Value 3", "id": "2600659", "description_html": "Place Value 3", "title": "Place value 3", "progress_key": "v2600659", "edit_slug": "edit/v/2600659", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Place Value 3", "extra_properties": null, "node_slug": "v/place-value-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.mp4/iK0y39rjBgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.mp4/iK0y39rjBgQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iK0y39rjBgQ.m3u8/iK0y39rjBgQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iK0y39rjBgQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600659", "sha": "39d755c4866ad51a3c5ba5208dfc2cea6ff39d82", "translated_description": "Place Value 3", "image_url": "https://img.youtube.com/vi/iK0y39rjBgQ/hqdefault.jpg", "youtube_id": "iK0y39rjBgQ", "content_kind": "Video", "readable_id": "place-value-3"}, {"translated_youtube_id": "RXuipbyW2Wk", "relative_url": "/video/representing-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/representing-numbers", "duration": 134, "translated_title": "Representing numbers", "translated_description_html": "", "id": "xf7f64fc8", "description_html": "", "title": "Representing numbers", "progress_key": "vxf7f64fc8", "edit_slug": "edit/v/xf7f64fc8", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-22T23:40:04Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/representing-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-28T21:48:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RXuipbyW2Wk.mp4/RXuipbyW2Wk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RXuipbyW2Wk.mp4/RXuipbyW2Wk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RXuipbyW2Wk.m3u8/RXuipbyW2Wk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RXuipbyW2Wk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf7f64fc8", "sha": "226a8405d743e98ec79c73bfd830733e4900e88d", "translated_description": "", "image_url": "https://img.youtube.com/vi/RXuipbyW2Wk/hqdefault.jpg", "youtube_id": "RXuipbyW2Wk", "content_kind": "Video", "readable_id": "representing-numbers"}, {"translated_youtube_id": "dZPOCU10TqY", "relative_url": "/video/comparing-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-place-values", "duration": 150, "translated_title": "Comparing place values", "translated_description_html": "", "id": "x19b4a5d9", "description_html": "", "title": "Comparing place values", "progress_key": "vx19b4a5d9", "edit_slug": "edit/v/x19b4a5d9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-19T19:55:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.mp4/dZPOCU10TqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.mp4/dZPOCU10TqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dZPOCU10TqY.m3u8/dZPOCU10TqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dZPOCU10TqY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx19b4a5d9", "sha": "980ab6c46514b836e9c304a830a9bb64fe3c977e", "translated_description": "", "image_url": "https://img.youtube.com/vi/dZPOCU10TqY/hqdefault.jpg", "youtube_id": "dZPOCU10TqY", "content_kind": "Video", "readable_id": "comparing-place-values"}, {"translated_youtube_id": "jyKMEANFNi0", "relative_url": "/video/understanding-place-value-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-place-value-1-exercise", "duration": 209, "translated_title": "Understanding place value 1 exercise", "translated_description_html": "", "id": "x958d77f4", "description_html": "", "title": "Understanding place value 1 exercise", "progress_key": "vx958d77f4", "edit_slug": "edit/v/x958d77f4", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-place-value-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-12T00:25:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.mp4/jyKMEANFNi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.mp4/jyKMEANFNi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jyKMEANFNi0.m3u8/jyKMEANFNi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jyKMEANFNi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx958d77f4", "sha": "cf2b07cf6b4ead29bc72684f64c97eb1f7f919f4", "translated_description": "", "image_url": "https://img.youtube.com/vi/jyKMEANFNi0/hqdefault.jpg", "youtube_id": "jyKMEANFNi0", "content_kind": "Video", "readable_id": "understanding-place-value-1-exercise"}, {"translated_youtube_id": "PvSx8oJ7PrM", "relative_url": "/video/place-value-relationships-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/place-value-relationships-example", "duration": 160, "translated_title": "Place value relationships example", "translated_description_html": "", "id": "x280befac", "description_html": "", "title": "Place value relationships example", "progress_key": "vx280befac", "edit_slug": "edit/v/x280befac", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/place-value-relationships-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-19T19:55:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PvSx8oJ7PrM.mp4/PvSx8oJ7PrM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PvSx8oJ7PrM.mp4/PvSx8oJ7PrM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PvSx8oJ7PrM.m3u8/PvSx8oJ7PrM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PvSx8oJ7PrM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx280befac", "sha": "58edc08f9e4ca2841f011dee67395a4e0733cd1d", "translated_description": "", "image_url": "https://img.youtube.com/vi/PvSx8oJ7PrM/hqdefault.jpg", "youtube_id": "PvSx8oJ7PrM", "content_kind": "Video", "readable_id": "place-value-relationships-example"}], "twitter_url": "", "translated_description": "You've been counting for a while now. It's second nature to go from \"9\" to \"10\" or \"99\" to \"100\", but what are you really doing when you add another digit? How do we represent so many numbers (really as many as we want) with only 10 number symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?\n\nIn this tutorial you'll learn about place value. This is key to better understanding what you're really doing when you count, carry, regroup, multiply and divide with mult-digit numbers. If you really think about it, it might change your worldview forever!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've been counting for a while now. It's second nature to go from \"9\" to \"10\" or \"99\" to \"100\", but what are you really doing when you add another digit? How do we represent so many numbers (really as many as we want) with only 10 number symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?\n\nIn this tutorial you'll learn about place value. This is key to better understanding what you're really doing when you count, carry, regroup, multiply and divide with mult-digit numbers. If you really think about it, it might change your worldview forever!", "x_pos": 0.0, "node_slug": "place_value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-19T23:56:33Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1c431121", "topic_page_url": "/math/arithmetic/order-of-operations/place_value", "extended_slug": "math/arithmetic/order-of-operations/place_value", "slug": "place_value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d4d07ed6b943d3f2a38314684ac1442515cc5afd", "standalone_title": "Place value", "y_pos": 0.0, "current_revision_key": "d4d07ed6b943d3f2a38314684ac1442515cc5afd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/rounding_whole_numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/rounding_whole_numbers", "translated_standalone_title": "Rounding whole numbers", "translated_title": "Rounding whole numbers", "gplus_url": "", "id": "x6e6e5a19", "old_key_name": "BUZ6DIaM1dcEEw6QedcRsubaMdQkxQgCV0qBrJim", "hide": false, "title": "Rounding whole numbers", "child_data": [{"kind": "Video", "id": 2600660}, {"kind": "Video", "id": 2600661}, {"kind": "Video", "id": 2600662}, {"kind": "Exercise", "id": 274889844}], "children": [{"translated_youtube_id": "_qzs1zozTBo", "relative_url": "/video/rounding-whole-numbers-1", "has_questions": false, "keywords": "U01_L1_T2_we1, Rounding, Whole, Numbers, CC_3_NBT_1, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-1", "duration": 263, "translated_title": "Rounding whole numbers 1", "translated_description_html": "Rounding Whole Numbers 1", "id": "2600660", "description_html": "Rounding Whole Numbers 1", "title": "Rounding whole numbers 1", "progress_key": "v2600660", "edit_slug": "edit/v/2600660", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 1", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.mp4/_qzs1zozTBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.mp4/_qzs1zozTBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_qzs1zozTBo.m3u8/_qzs1zozTBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_qzs1zozTBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600660", "sha": "aa495fdab88029964ccbf39ed442ffc9db629125", "translated_description": "Rounding Whole Numbers 1", "image_url": "https://img.youtube.com/vi/_qzs1zozTBo/hqdefault.jpg", "youtube_id": "_qzs1zozTBo", "content_kind": "Video", "readable_id": "rounding-whole-numbers-1"}, {"translated_youtube_id": "fh8gkPW_6g4", "relative_url": "/video/rounding-whole-numbers-2", "has_questions": false, "keywords": "U01_L1_T2_we2, Rounding, Whole, Numbers, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-2", "duration": 148, "translated_title": "Rounding whole numbers 2", "translated_description_html": "Rounding Whole Numbers 2", "id": "2600661", "description_html": "Rounding Whole Numbers 2", "title": "Rounding whole numbers 2", "progress_key": "v2600661", "edit_slug": "edit/v/2600661", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 2", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.mp4/fh8gkPW_6g4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.mp4/fh8gkPW_6g4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fh8gkPW_6g4.m3u8/fh8gkPW_6g4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fh8gkPW_6g4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600661", "sha": "5d683869dc941233db2c1681b90da9fd87217ff3", "translated_description": "Rounding Whole Numbers 2", "image_url": "https://img.youtube.com/vi/fh8gkPW_6g4/hqdefault.jpg", "youtube_id": "fh8gkPW_6g4", "content_kind": "Video", "readable_id": "rounding-whole-numbers-2"}, {"translated_youtube_id": "3jBfLaLrk6I", "relative_url": "/video/rounding-whole-numbers-3", "has_questions": false, "keywords": "U01_L1_T2_we3, Rounding, Whole, Numbers, CC_3_OA_8, CC_4_NBT_3, CC_4_OA_3", "ka_url": "http://www.khanacademy.org/video/rounding-whole-numbers-3", "duration": 64, "translated_title": "Rounding whole numbers 3", "translated_description_html": "Rounding Whole Numbers 3", "id": "2600662", "description_html": "Rounding Whole Numbers 3", "title": "Rounding whole numbers 3", "progress_key": "v2600662", "edit_slug": "edit/v/2600662", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rounding Whole Numbers 3", "extra_properties": null, "node_slug": "v/rounding-whole-numbers-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.mp4/3jBfLaLrk6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.mp4/3jBfLaLrk6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3jBfLaLrk6I.m3u8/3jBfLaLrk6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3jBfLaLrk6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600662", "sha": "8fb79fb074cd5c208f97ef8170e19976ea69ace2", "translated_description": "Rounding Whole Numbers 3", "image_url": "https://img.youtube.com/vi/3jBfLaLrk6I/hqdefault.jpg", "youtube_id": "3jBfLaLrk6I", "content_kind": "Video", "readable_id": "rounding-whole-numbers-3"}], "twitter_url": "", "translated_description": "If you're looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs).\n\nIn this tutorial, you'll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you're looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs).\n\nIn this tutorial, you'll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.", "x_pos": 0.0, "node_slug": "rounding_whole_numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e6e5a19", "topic_page_url": "/math/arithmetic/order-of-operations/rounding_whole_numbers", "extended_slug": "math/arithmetic/order-of-operations/rounding_whole_numbers", "slug": "rounding_whole_numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8ba72586584107a8359ca0be894e4d737af0725b", "standalone_title": "Rounding whole numbers", "y_pos": 0.0, "current_revision_key": "8ba72586584107a8359ca0be894e4d737af0725b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/whole-number-representations-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/whole-number-representations-tut", "translated_standalone_title": "Understanding whole number representations", "translated_title": "Understanding whole number representations", "gplus_url": "", "id": "x3e413c3a", "old_key_name": null, "hide": false, "title": "Understanding whole number representations", "child_data": [{"kind": "Video", "id": "xd5b498ba"}, {"kind": "Video", "id": "x40b497d9"}, {"kind": "Video", "id": "x38b629b7"}, {"kind": "Exercise", "id": "xd4ef053c"}], "children": [{"translated_youtube_id": "a_mzIWvHx_Y", "relative_url": "/video/regrouping-numbers-intro-various-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-numbers-intro-various-place-values", "duration": 154, "translated_title": "Regrouping numbers intro various place values", "translated_description_html": "", "id": "xd5b498ba", "description_html": "", "title": "Regrouping numbers intro various place values", "progress_key": "vxd5b498ba", "edit_slug": "edit/v/xd5b498ba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-numbers-intro-various-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T01:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.mp4/a_mzIWvHx_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.mp4/a_mzIWvHx_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a_mzIWvHx_Y.m3u8/a_mzIWvHx_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a_mzIWvHx_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd5b498ba", "sha": "e8ea73b0e3db97de5d7a32ebb45da648318c3f13", "translated_description": "", "image_url": "https://img.youtube.com/vi/a_mzIWvHx_Y/hqdefault.jpg", "youtube_id": "a_mzIWvHx_Y", "content_kind": "Video", "readable_id": "regrouping-numbers-intro-various-place-values"}, {"translated_youtube_id": "3Xcae0OGavk", "relative_url": "/video/comparing-whole-number-place-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-whole-number-place-values", "duration": 91, "translated_title": "Comparing whole number place values", "translated_description_html": "", "id": "x40b497d9", "description_html": "", "title": "Comparing whole number place values", "progress_key": "vx40b497d9", "edit_slug": "edit/v/x40b497d9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-whole-number-place-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T01:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.mp4/3Xcae0OGavk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.mp4/3Xcae0OGavk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Xcae0OGavk.m3u8/3Xcae0OGavk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Xcae0OGavk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx40b497d9", "sha": "ec8b32f0681e714876c5c05577f08130b0f1cea5", "translated_description": "", "image_url": "https://img.youtube.com/vi/3Xcae0OGavk/hqdefault.jpg", "youtube_id": "3Xcae0OGavk", "content_kind": "Video", "readable_id": "comparing-whole-number-place-values"}, {"translated_youtube_id": "k3qZCxL5TeE", "relative_url": "/video/largest-possible-number-from-4-digits-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/largest-possible-number-from-4-digits-example", "duration": 138, "translated_title": "Largest possible number from 4 digits example", "translated_description_html": "", "id": "x38b629b7", "description_html": "", "title": "Largest possible number from 4 digits example", "progress_key": "vx38b629b7", "edit_slug": "edit/v/x38b629b7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/largest-possible-number-from-4-digits-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T01:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.mp4/k3qZCxL5TeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.mp4/k3qZCxL5TeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3qZCxL5TeE.m3u8/k3qZCxL5TeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3qZCxL5TeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx38b629b7", "sha": "298609757a163deb0e3b6a62b906e38a0be3f85b", "translated_description": "", "image_url": "https://img.youtube.com/vi/k3qZCxL5TeE/hqdefault.jpg", "youtube_id": "k3qZCxL5TeE", "content_kind": "Video", "readable_id": "largest-possible-number-from-4-digits-example"}], "twitter_url": "", "translated_description": "Whether with words or numbers, we'll try to understand multiple ways of representing a whole number quantity. We'll even play with place value a good bit to make sure that everything is clicking!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Whether with words or numbers, we'll try to understand multiple ways of representing a whole number quantity. We'll even play with place value a good bit to make sure that everything is clicking!", "x_pos": 0.0, "node_slug": "whole-number-representations-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e413c3a", "topic_page_url": "/math/arithmetic/order-of-operations/whole-number-representations-tut", "extended_slug": "math/arithmetic/order-of-operations/whole-number-representations-tut", "slug": "whole-number-representations-tut", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "05626a7c4dd64018f19b49b320f7d62c26316689", "standalone_title": "Understanding whole number representations", "y_pos": 0.0, "current_revision_key": "05626a7c4dd64018f19b49b320f7d62c26316689", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/regrouping-whole-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/regrouping-whole-numbers", "translated_standalone_title": "Regrouping whole numbers", "translated_title": "Regrouping whole numbers", "gplus_url": "", "id": "xb51beafb", "old_key_name": null, "hide": false, "title": "Regrouping whole numbers", "child_data": [{"kind": "Video", "id": "x04178bbd"}, {"kind": "Video", "id": "xa0f03f8e"}, {"kind": "Video", "id": "xa60f4010"}, {"kind": "Exercise", "id": "xec809b3d"}], "children": [{"translated_youtube_id": "X3JqIZR1XcY", "relative_url": "/video/regrouping-whole-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers", "duration": 263, "translated_title": "Regrouping whole numbers", "translated_description_html": "", "id": "x04178bbd", "description_html": "", "title": "Regrouping whole numbers", "progress_key": "vx04178bbd", "edit_slug": "edit/v/x04178bbd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T05:20:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.mp4/X3JqIZR1XcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.mp4/X3JqIZR1XcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X3JqIZR1XcY.m3u8/X3JqIZR1XcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X3JqIZR1XcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx04178bbd", "sha": "914a8da8e4192d8a6d4f119f4317fc85f39f0e77", "translated_description": "", "image_url": "https://img.youtube.com/vi/X3JqIZR1XcY/hqdefault.jpg", "youtube_id": "X3JqIZR1XcY", "content_kind": "Video", "readable_id": "regrouping-whole-numbers"}, {"translated_youtube_id": "G_mUcQeXak8", "relative_url": "/video/regrouping-whole-numbers-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers-example-1", "duration": 162, "translated_title": "Regrouping whole numbers example 1", "translated_description_html": "", "id": "xa0f03f8e", "description_html": "", "title": "Regrouping whole numbers example 1", "progress_key": "vxa0f03f8e", "edit_slug": "edit/v/xa0f03f8e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.mp4/G_mUcQeXak8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.mp4/G_mUcQeXak8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G_mUcQeXak8.m3u8/G_mUcQeXak8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G_mUcQeXak8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa0f03f8e", "sha": "2e2ddd10e945d38d26730d52d3672fb7e99652a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/G_mUcQeXak8/hqdefault.jpg", "youtube_id": "G_mUcQeXak8", "content_kind": "Video", "readable_id": "regrouping-whole-numbers-example-1"}, {"translated_youtube_id": "h_fBMnB1i-0", "relative_url": "/video/regrouping-whole-numbers-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regrouping-whole-numbers-example-2", "duration": 79, "translated_title": "Regrouping whole numbers example 2", "translated_description_html": "", "id": "xa60f4010", "description_html": "", "title": "Regrouping whole numbers example 2", "progress_key": "vxa60f4010", "edit_slug": "edit/v/xa60f4010", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/regrouping-whole-numbers-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.mp4/h_fBMnB1i-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.mp4/h_fBMnB1i-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h_fBMnB1i-0.m3u8/h_fBMnB1i-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h_fBMnB1i-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa60f4010", "sha": "6502a878d5d8462f48432ff6cd70291b385c1ddf", "translated_description": "", "image_url": "https://img.youtube.com/vi/h_fBMnB1i-0/hqdefault.jpg", "youtube_id": "h_fBMnB1i-0", "content_kind": "Video", "readable_id": "regrouping-whole-numbers-example-2"}], "twitter_url": "", "translated_description": "Regrouping involves taking value from one place and giving it to another. It is a great way to make sure you understand place value. It is also super useful when subtracting multi-digit numbers (the process is often called \"borrowing\" even though you never really \"pay back\" the value taken from one place and given to another).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Regrouping involves taking value from one place and giving it to another. It is a great way to make sure you understand place value. It is also super useful when subtracting multi-digit numbers (the process is often called \"borrowing\" even though you never really \"pay back\" the value taken from one place and given to another).", "x_pos": 0.0, "node_slug": "regrouping-whole-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T05:25:10Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb51beafb", "topic_page_url": "/math/arithmetic/order-of-operations/regrouping-whole-numbers", "extended_slug": "math/arithmetic/order-of-operations/regrouping-whole-numbers", "slug": "regrouping-whole-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1862a4f6982d5a09f234e50d4ccf86b8a1f0f1d8", "standalone_title": "Regrouping whole numbers", "y_pos": 0.0, "current_revision_key": "1862a4f6982d5a09f234e50d4ccf86b8a1f0f1d8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/counting tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/counting tutorial", "translated_standalone_title": "Counting", "translated_title": "Counting", "gplus_url": "", "id": "x21626da4", "old_key_name": null, "hide": false, "title": "Counting", "child_data": [{"kind": "Video", "id": "xd1eabd8e"}, {"kind": "Exercise", "id": 297920627}], "children": [{"translated_youtube_id": "V758Lz_MuEg", "relative_url": "/video/counting-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/counting-1-exercise", "duration": 283, "translated_title": "Counting 1 exercise", "translated_description_html": "", "id": "xd1eabd8e", "description_html": "", "title": "Counting 1 exercise", "progress_key": "vxd1eabd8e", "edit_slug": "edit/v/xd1eabd8e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/counting-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T23:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V758Lz_MuEg.mp4/V758Lz_MuEg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V758Lz_MuEg.mp4/V758Lz_MuEg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V758Lz_MuEg.m3u8/V758Lz_MuEg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V758Lz_MuEg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd1eabd8e", "sha": "83a6ec3f7c0e10b0497390b1a359529b028dcd66", "translated_description": "", "image_url": "https://img.youtube.com/vi/V758Lz_MuEg/hqdefault.jpg", "youtube_id": "V758Lz_MuEg", "content_kind": "Video", "readable_id": "counting-1-exercise"}], "twitter_url": "", "translated_description": "How many times do you need to cut a cake? How many fence posts do you need?\n\nThese life altering decisions will be based on how well you count. ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How many times do you need to cut a cake? How many fence posts do you need?\n\nThese life altering decisions will be based on how well you count. ", "x_pos": 0.0, "node_slug": "counting tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T23:36:41Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax21626da4", "topic_page_url": "/math/arithmetic/order-of-operations/counting tutorial", "extended_slug": "math/arithmetic/order-of-operations/counting tutorial", "slug": "counting tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a462920e5840749e21c8b34fde7eba7f6e5d59c0", "standalone_title": "Counting", "y_pos": 0.0, "current_revision_key": "a462920e5840749e21c8b34fde7eba7f6e5d59c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/rational-irrational-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/rational-irrational-numbers", "translated_standalone_title": "Rational and irrational numbers", "translated_title": "Rational and irrational numbers", "gplus_url": "", "id": "xddc83183", "old_key_name": null, "hide": false, "title": "Rational and irrational numbers", "child_data": [{"kind": "Video", "id": "x00ce2e4a"}, {"kind": "Exercise", "id": "x4eaeba29"}], "children": [{"translated_youtube_id": "d9pO2z2qvXU", "relative_url": "/video/recognizing-irrational-numbers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-irrational-numbers", "duration": 138, "translated_title": "Recognizing irrational numbers", "translated_description_html": "", "id": "x00ce2e4a", "description_html": "", "title": "Recognizing irrational numbers", "progress_key": "vx00ce2e4a", "edit_slug": "edit/v/x00ce2e4a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/recognizing-irrational-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-12T18:37:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.mp4/d9pO2z2qvXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.mp4/d9pO2z2qvXU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d9pO2z2qvXU.m3u8/d9pO2z2qvXU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d9pO2z2qvXU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx00ce2e4a", "sha": "eed43794da8b2a13cdd893f4b506dc5c419fbeac", "translated_description": "", "image_url": "https://img.youtube.com/vi/d9pO2z2qvXU/hqdefault.jpg", "youtube_id": "d9pO2z2qvXU", "content_kind": "Video", "readable_id": "recognizing-irrational-numbers"}], "twitter_url": "", "translated_description": "More numbers than you probably imagine can be represented as the ratio of two integers. We call these rational numbers. But there are also really amazing numbers that can't. As you can guess, we call them irrational numbers.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "More numbers than you probably imagine can be represented as the ratio of two integers. We call these rational numbers. But there are also really amazing numbers that can't. As you can guess, we call them irrational numbers.", "x_pos": 0.0, "node_slug": "rational-irrational-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T18:40:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axddc83183", "topic_page_url": "/math/arithmetic/order-of-operations/rational-irrational-numbers", "extended_slug": "math/arithmetic/order-of-operations/rational-irrational-numbers", "slug": "rational-irrational-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f1b63bf8853b5ab3d420162eda439ff20987589e", "standalone_title": "Rational and irrational numbers", "y_pos": 0.0, "current_revision_key": "f1b63bf8853b5ab3d420162eda439ff20987589e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/order_of_operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/order_of_operations", "translated_standalone_title": "Order of operations", "translated_title": "Order of operations", "gplus_url": "", "id": "x492f7e87", "old_key_name": "ln9UBJwVh30Xq8xbpUrg6boC-j3hmhRbWi0LBc_1", "hide": false, "title": "Order of operations", "child_data": [{"kind": "Video", "id": 25757}, {"kind": "Video", "id": 2600695}, {"kind": "Video", "id": 13179327}, {"kind": "Video", "id": 25759}, {"kind": "Video", "id": 4802219}, {"kind": "Exercise", "id": 2011}], "children": [{"translated_youtube_id": "ClYdw4d4OmA", "relative_url": "/video/introduction-to-order-of-operations", "has_questions": false, "keywords": "order, of, operations, CC_5_OA_1, CC_5_OA_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-order-of-operations", "duration": 580, "translated_title": "Introduction to order of operations", "translated_description_html": "Order of Operations", "id": "25757", "description_html": "Order of Operations", "title": "Introduction to order of operations", "progress_key": "v25757", "edit_slug": "edit/v/25757", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Order of Operations", "extra_properties": null, "node_slug": "v/introduction-to-order-of-operations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ClYdw4d4OmA.mp4/ClYdw4d4OmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ClYdw4d4OmA.mp4/ClYdw4d4OmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ClYdw4d4OmA.m3u8/ClYdw4d4OmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ClYdw4d4OmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25757", "sha": "5a31047e8e4ba8f5f4b42a6219929050f170e7fb", "translated_description": "Order of Operations", "image_url": "https://img.youtube.com/vi/ClYdw4d4OmA/hqdefault.jpg", "youtube_id": "ClYdw4d4OmA", "content_kind": "Video", "readable_id": "introduction-to-order-of-operations"}, {"translated_youtube_id": "GiSpzFKI5_w", "relative_url": "/video/order-of-operations", "has_questions": false, "keywords": "U01_L5_T2_we1, Order, of, Operations, CC_5_OA_1, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/order-of-operations", "duration": 267, "translated_title": "Order of operations", "translated_description_html": "Order of Operations", "id": "2600695", "description_html": "Order of Operations", "title": "Order of operations", "progress_key": "v2600695", "edit_slug": "edit/v/2600695", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Order of Operations", "extra_properties": null, "node_slug": "v/order-of-operations", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiSpzFKI5_w.mp4/GiSpzFKI5_w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GiSpzFKI5_w.mp4/GiSpzFKI5_w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GiSpzFKI5_w.m3u8/GiSpzFKI5_w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GiSpzFKI5_w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600695", "sha": "5351923357d558f8b2d67611cbf3f96d3dd97fec", "translated_description": "Order of Operations", "image_url": "https://img.youtube.com/vi/GiSpzFKI5_w/hqdefault.jpg", "youtube_id": "GiSpzFKI5_w", "content_kind": "Video", "readable_id": "order-of-operations"}, {"translated_youtube_id": "gjrGd9TjjnY", "relative_url": "/video/order-of-operations-1", "has_questions": false, "keywords": "U09_L4_T1_we1, Order, of, Operations", "ka_url": "http://www.khanacademy.org/video/order-of-operations-1", "duration": 276, "translated_title": "Order of operations 1", "translated_description_html": "Order of Operations", "id": "13179327", "description_html": "Order of Operations", "title": "Order of operations 1", "progress_key": "v13179327", "edit_slug": "edit/v/13179327", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Order of Operations", "extra_properties": null, "node_slug": "v/order-of-operations-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gjrGd9TjjnY.mp4/gjrGd9TjjnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gjrGd9TjjnY.mp4/gjrGd9TjjnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gjrGd9TjjnY.m3u8/gjrGd9TjjnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gjrGd9TjjnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179327", "sha": "13e8a6142961527ded61d69a113eaa7a2a8602ad", "translated_description": "Order of Operations", "image_url": "https://img.youtube.com/vi/gjrGd9TjjnY/hqdefault.jpg", "youtube_id": "gjrGd9TjjnY", "content_kind": "Video", "readable_id": "order-of-operations-1"}, {"translated_youtube_id": "piIcRV2dx7E", "relative_url": "/video/more-complicated-order-of-operations-example", "has_questions": false, "keywords": "order, of, operations, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/more-complicated-order-of-operations-example", "duration": 320, "translated_title": "More complicated order of operations example", "translated_description_html": "More Complicated Order of Operations Example", "id": "25759", "description_html": "More Complicated Order of Operations Example", "title": "More complicated order of operations example", "progress_key": "v25759", "edit_slug": "edit/v/25759", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More Complicated Order of Operations Example", "extra_properties": null, "node_slug": "v/more-complicated-order-of-operations-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/piIcRV2dx7E.mp4/piIcRV2dx7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/piIcRV2dx7E.mp4/piIcRV2dx7E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/piIcRV2dx7E.m3u8/piIcRV2dx7E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=piIcRV2dx7E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25759", "sha": "4e6fd9f56366b92173e5021a821160ef3afcb981", "translated_description": "More Complicated Order of Operations Example", "image_url": "https://img.youtube.com/vi/piIcRV2dx7E/hqdefault.jpg", "youtube_id": "piIcRV2dx7E", "content_kind": "Video", "readable_id": "more-complicated-order-of-operations-example"}, {"translated_youtube_id": "3Po3nfITsok", "relative_url": "/video/order-of-operations-example", "has_questions": false, "keywords": "Order, Of, Operations", "ka_url": "http://www.khanacademy.org/video/order-of-operations-example", "duration": 863, "translated_title": "Order of operations examples", "translated_description_html": "Evaluating expressions using order of operations", "id": "4802219", "description_html": "Evaluating expressions using order of operations", "title": "Order of operations examples", "progress_key": "v4802219", "edit_slug": "edit/v/4802219", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Evaluating expressions using order of operations", "extra_properties": null, "node_slug": "v/order-of-operations-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.mp4/3Po3nfITsok.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.mp4/3Po3nfITsok.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.m3u8/3Po3nfITsok.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Po3nfITsok&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802219", "sha": "47a6ea6bee235cfa80300ebec5f3e47729281353", "translated_description": "Evaluating expressions using order of operations", "image_url": "https://img.youtube.com/vi/3Po3nfITsok/hqdefault.jpg", "youtube_id": "3Po3nfITsok", "content_kind": "Video", "readable_id": "order-of-operations-example"}], "twitter_url": "", "translated_description": "If you have the expression \"3 + 4 x 5\", do you add the 3 to the 4 first or multiply the 4 and 5 first? To clear up confusion here, the math world has defined which operation should get priority over others. This is super important. You won't really be able to do any involved math if you don't get this clear. But don't worry, this tutorial has your back.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you have the expression \"3 + 4 x 5\", do you add the 3 to the 4 first or multiply the 4 and 5 first? To clear up confusion here, the math world has defined which operation should get priority over others. This is super important. You won't really be able to do any involved math if you don't get this clear. But don't worry, this tutorial has your back.", "x_pos": 0.0, "node_slug": "order_of_operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax492f7e87", "topic_page_url": "/math/arithmetic/order-of-operations/order_of_operations", "extended_slug": "math/arithmetic/order-of-operations/order_of_operations", "slug": "order_of_operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0d7e262142fab4893c4b2d34ca81487a24af0b32", "standalone_title": "Order of operations", "y_pos": 0.0, "current_revision_key": "0d7e262142fab4893c4b2d34ca81487a24af0b32", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/ditributive_property", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/ditributive_property", "translated_standalone_title": "The distributive property", "translated_title": "The distributive property", "gplus_url": "", "id": "x54ba2e1f", "old_key_name": "NMndZSDGs6hMZJsYbe3nV5RWPYjzTZuHohu5JZ-v", "hide": false, "title": "The distributive property", "child_data": [{"kind": "Video", "id": 2600690}, {"kind": "Video", "id": 2600691}, {"kind": "Video", "id": 23606}, {"kind": "Video", "id": "x4cf5b8e4"}, {"kind": "Exercise", "id": 257483380}], "children": [{"translated_youtube_id": "gl_-E6iVAg4", "relative_url": "/video/the-distributive-property", "has_questions": false, "keywords": "U01_L4_T2_we1, The, Distributive, Property, CC_3_OA_5, CC_5_OA_1, CC_6_EE_3, CC_6_NS_4, CC_7_EE_1", "ka_url": "http://www.khanacademy.org/video/the-distributive-property", "duration": 296, "translated_title": "The distributive property", "translated_description_html": "The Distributive Property", "id": "2600690", "description_html": "The Distributive Property", "title": "The distributive property", "progress_key": "v2600690", "edit_slug": "edit/v/2600690", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Distributive Property", "extra_properties": null, "node_slug": "v/the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gl_-E6iVAg4.mp4/gl_-E6iVAg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gl_-E6iVAg4.mp4/gl_-E6iVAg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gl_-E6iVAg4.m3u8/gl_-E6iVAg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gl_-E6iVAg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600690", "sha": "068fec7f7989bf06752f565dd80036c1389303ff", "translated_description": "The Distributive Property", "image_url": "https://img.youtube.com/vi/gl_-E6iVAg4/hqdefault.jpg", "youtube_id": "gl_-E6iVAg4", "content_kind": "Video", "readable_id": "the-distributive-property"}, {"translated_youtube_id": "Badvask-UDU", "relative_url": "/video/the-distributive-property-2", "has_questions": false, "keywords": "U01_L4_T2_we2, The, Distributive, Property, CC_3_OA_5, CC_5_OA_1, CC_6_EE_3, CC_6_NS_4, CC_7_EE_1", "ka_url": "http://www.khanacademy.org/video/the-distributive-property-2", "duration": 131, "translated_title": "The distributive property 2", "translated_description_html": "The Distributive Property 2", "id": "2600691", "description_html": "The Distributive Property 2", "title": "The distributive property 2", "progress_key": "v2600691", "edit_slug": "edit/v/2600691", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Distributive Property 2", "extra_properties": null, "node_slug": "v/the-distributive-property-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Badvask-UDU.mp4/Badvask-UDU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Badvask-UDU.mp4/Badvask-UDU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Badvask-UDU.m3u8/Badvask-UDU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Badvask-UDU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600691", "sha": "e89f13eaeedcf41b97a5636f1a4a4509e53ebdb4", "translated_description": "The Distributive Property 2", "image_url": "https://img.youtube.com/vi/Badvask-UDU/hqdefault.jpg", "youtube_id": "Badvask-UDU", "content_kind": "Video", "readable_id": "the-distributive-property-2"}, {"translated_youtube_id": "ewEorPD4kdA", "relative_url": "/video/distributive-property-example-1", "has_questions": false, "keywords": "Distributive, Property", "ka_url": "http://www.khanacademy.org/video/distributive-property-example-1", "duration": 339, "translated_title": "Distributive property example 1", "translated_description_html": "ck12 Distributive Property example", "id": "23606", "description_html": "ck12 Distributive Property example", "title": "Distributive property example 1", "progress_key": "v23606", "edit_slug": "edit/v/23606", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "ck12 Distributive Property example", "extra_properties": null, "node_slug": "v/distributive-property-example-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewEorPD4kdA.mp4/ewEorPD4kdA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewEorPD4kdA.mp4/ewEorPD4kdA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ewEorPD4kdA.m3u8/ewEorPD4kdA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ewEorPD4kdA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23606", "sha": "c3d413895f6efcce70645b47b404273aced0fae6", "translated_description": "ck12 Distributive Property example", "image_url": "https://img.youtube.com/vi/ewEorPD4kdA/hqdefault.jpg", "youtube_id": "ewEorPD4kdA", "content_kind": "Video", "readable_id": "distributive-property-example-1"}, {"translated_youtube_id": "xC-fQ0KEzsM", "relative_url": "/video/distributive-property-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/distributive-property-exercise", "duration": 183, "translated_title": "Distributive property exercise", "translated_description_html": "", "id": "x4cf5b8e4", "description_html": "", "title": "Distributive property exercise", "progress_key": "vx4cf5b8e4", "edit_slug": "edit/v/x4cf5b8e4", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/distributive-property-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-03T17:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xC-fQ0KEzsM.mp4/xC-fQ0KEzsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xC-fQ0KEzsM.mp4/xC-fQ0KEzsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xC-fQ0KEzsM.m3u8/xC-fQ0KEzsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xC-fQ0KEzsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4cf5b8e4", "sha": "2e3324bb85b1a17df263d36d1b42812a418298ec", "translated_description": "", "image_url": "https://img.youtube.com/vi/xC-fQ0KEzsM/hqdefault.jpg", "youtube_id": "xC-fQ0KEzsM", "content_kind": "Video", "readable_id": "distributive-property-exercise"}], "twitter_url": "", "translated_description": "The distributive property is an idea that shows up over and over again in mathematics. It is the idea that 5 x (3 + 4) = (5 x 3) + (5 x 4). If that last statement made complete sense, no need to watch this tutorial. If it didn't or you don't know why it's true, then this tutorial might be a good way to pass the time :)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The distributive property is an idea that shows up over and over again in mathematics. It is the idea that 5 x (3 + 4) = (5 x 3) + (5 x 4). If that last statement made complete sense, no need to watch this tutorial. If it didn't or you don't know why it's true, then this tutorial might be a good way to pass the time :)", "x_pos": 0.0, "node_slug": "ditributive_property", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54ba2e1f", "topic_page_url": "/math/arithmetic/order-of-operations/ditributive_property", "extended_slug": "math/arithmetic/order-of-operations/ditributive_property", "slug": "ditributive_property", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d0a9c5eaee8dfa31b5b72faa1ff7aa7ae9612428", "standalone_title": "The distributive property", "y_pos": 0.0, "current_revision_key": "d0a9c5eaee8dfa31b5b72faa1ff7aa7ae9612428", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/order-of-operations/arithmetic_properties", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/order-of-operations/arithmetic_properties", "translated_standalone_title": "Arithmetic properties", "translated_title": "Arithmetic properties", "gplus_url": "", "id": "xc467dadf", "old_key_name": "ySx4c1l2rBeWCQFy-PBqb1x84as3MvSSShvfoVSU", "hide": false, "title": "Arithmetic properties", "child_data": [{"kind": "Video", "id": 2600686}, {"kind": "Video", "id": 13179324}, {"kind": "Video", "id": 2600687}, {"kind": "Video", "id": 2600688}, {"kind": "Video", "id": 2600689}, {"kind": "Video", "id": 24364}, {"kind": "Video", "id": "x1f8ade06"}, {"kind": "Exercise", "id": 237877395}, {"kind": "Video", "id": "xeee1b8f6"}, {"kind": "Exercise", "id": 497964483}, {"kind": "Video", "id": 2600685}, {"kind": "Video", "id": 13179322}, {"kind": "Video", "id": 13179315}, {"kind": "Video", "id": 261091818}, {"kind": "Video", "id": 261091817}, {"kind": "Video", "id": "xec75ad78"}, {"kind": "Exercise", "id": 237892055}], "children": [{"translated_youtube_id": "HwSszh3L358", "relative_url": "/video/commutative-law-of-addition", "has_questions": false, "keywords": "U01_L4_T1_we3, Commutative, Law, of, Addition, CC_1_OA_3", "ka_url": "http://www.khanacademy.org/video/commutative-law-of-addition", "duration": 100, "translated_title": "Commutative law of addition", "translated_description_html": "Commutative Law of Addition", "id": "2600686", "description_html": "Commutative Law of Addition", "title": "Commutative law of addition", "progress_key": "v2600686", "edit_slug": "edit/v/2600686", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Commutative Law of Addition", "extra_properties": null, "node_slug": "v/commutative-law-of-addition", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HwSszh3L358.mp4/HwSszh3L358.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HwSszh3L358.mp4/HwSszh3L358.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HwSszh3L358.m3u8/HwSszh3L358.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HwSszh3L358&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600686", "sha": "7689a38772130e32be337ef6c72f553a8cda0599", "translated_description": "Commutative Law of Addition", "image_url": "https://img.youtube.com/vi/HwSszh3L358/hqdefault.jpg", "youtube_id": "HwSszh3L358", "content_kind": "Video", "readable_id": "commutative-law-of-addition"}, {"translated_youtube_id": "UeG_EYd-0xw", "relative_url": "/video/commutative-property-for-addition", "has_questions": false, "keywords": "U09_L3_T1_we1, Commutative, Property, for, Addition, CC_1_OA_3", "ka_url": "http://www.khanacademy.org/video/commutative-property-for-addition", "duration": 203, "translated_title": "Commutative property for addition", "translated_description_html": "Commutative Property for Addition", "id": "13179324", "description_html": "Commutative Property for Addition", "title": "Commutative property for addition", "progress_key": "v13179324", "edit_slug": "edit/v/13179324", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Commutative Property for Addition", "extra_properties": null, "node_slug": "v/commutative-property-for-addition", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UeG_EYd-0xw.mp4/UeG_EYd-0xw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UeG_EYd-0xw.mp4/UeG_EYd-0xw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UeG_EYd-0xw.m3u8/UeG_EYd-0xw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UeG_EYd-0xw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179324", "sha": "665385dc6b3f8e7ca3d640aa71debcf332968228", "translated_description": "Commutative Property for Addition", "image_url": "https://img.youtube.com/vi/UeG_EYd-0xw/hqdefault.jpg", "youtube_id": "UeG_EYd-0xw", "content_kind": "Video", "readable_id": "commutative-property-for-addition"}, {"translated_youtube_id": "ENKH97PYssg", "relative_url": "/video/commutative-law-of-multiplication", "has_questions": false, "keywords": "U01_L4_T1_we4, Commutative, Law, of, Multiplication, CC_3_OA_5", "ka_url": "http://www.khanacademy.org/video/commutative-law-of-multiplication", "duration": 108, "translated_title": "Commutative law of multiplication", "translated_description_html": "Commutative Law of Multiplication", "id": "2600687", "description_html": "Commutative Law of Multiplication", "title": "Commutative law of multiplication", "progress_key": "v2600687", "edit_slug": "edit/v/2600687", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Commutative Law of Multiplication", "extra_properties": null, "node_slug": "v/commutative-law-of-multiplication", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ENKH97PYssg.mp4/ENKH97PYssg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ENKH97PYssg.mp4/ENKH97PYssg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ENKH97PYssg.m3u8/ENKH97PYssg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ENKH97PYssg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600687", "sha": "ef5c7bfe7d326f279c32549968db5a4aac62aa27", "translated_description": "Commutative Law of Multiplication", "image_url": "https://img.youtube.com/vi/ENKH97PYssg/hqdefault.jpg", "youtube_id": "ENKH97PYssg", "content_kind": "Video", "readable_id": "commutative-law-of-multiplication"}, {"translated_youtube_id": "oTKVXJ7TcbA", "relative_url": "/video/associative-law-of-addition", "has_questions": false, "keywords": "U01_L4_T1_we5, Associative, Law, of, Addition, CC_1_OA_3", "ka_url": "http://www.khanacademy.org/video/associative-law-of-addition", "duration": 130, "translated_title": "Associative law of addition", "translated_description_html": "Associative Law of Addition", "id": "2600688", "description_html": "Associative Law of Addition", "title": "Associative law of addition", "progress_key": "v2600688", "edit_slug": "edit/v/2600688", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Associative Law of Addition", "extra_properties": null, "node_slug": "v/associative-law-of-addition", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oTKVXJ7TcbA.mp4/oTKVXJ7TcbA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oTKVXJ7TcbA.mp4/oTKVXJ7TcbA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oTKVXJ7TcbA.m3u8/oTKVXJ7TcbA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oTKVXJ7TcbA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600688", "sha": "f5ca98581e1f072359913118cec0f3585a767f3e", "translated_description": "Associative Law of Addition", "image_url": "https://img.youtube.com/vi/oTKVXJ7TcbA/hqdefault.jpg", "youtube_id": "oTKVXJ7TcbA", "content_kind": "Video", "readable_id": "associative-law-of-addition"}, {"translated_youtube_id": "5RzDVNob0-0", "relative_url": "/video/associative-law-of-multiplication", "has_questions": false, "keywords": "U01_L4_T1_we6, Associative, Law, of, Multiplication, CC_3_OA_5, CC_5_MD_5_a", "ka_url": "http://www.khanacademy.org/video/associative-law-of-multiplication", "duration": 135, "translated_title": "Associative law of multiplication", "translated_description_html": "Associative Law of Multiplication", "id": "2600689", "description_html": "Associative Law of Multiplication", "title": "Associative law of multiplication", "progress_key": "v2600689", "edit_slug": "edit/v/2600689", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Associative Law of Multiplication", "extra_properties": null, "node_slug": "v/associative-law-of-multiplication", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5RzDVNob0-0.mp4/5RzDVNob0-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5RzDVNob0-0.mp4/5RzDVNob0-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5RzDVNob0-0.m3u8/5RzDVNob0-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5RzDVNob0-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600689", "sha": "607ff1b8eb2c64609ac3bee159545b0add81da35", "translated_description": "Associative Law of Multiplication", "image_url": "https://img.youtube.com/vi/5RzDVNob0-0/hqdefault.jpg", "youtube_id": "5RzDVNob0-0", "content_kind": "Video", "readable_id": "associative-law-of-multiplication"}, {"translated_youtube_id": "ZouQdHSyelg", "relative_url": "/video/ca-algebra-i--number-properties-and-absolute-value", "has_questions": false, "keywords": "californa, standards, algebra, inequality, equations", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--number-properties-and-absolute-value", "duration": 722, "translated_title": "CA Algebra I: Number properties and absolute value", "translated_description_html": "

1-7, number properties and absolute value equations<\/p>", "id": "24364", "description_html": "

1-7, number properties and absolute value equations<\/p>", "title": "CA Algebra I: Number properties and absolute value", "progress_key": "v24364", "edit_slug": "edit/v/24364", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-7, number properties and absolute value equations", "extra_properties": {}, "node_slug": "v/ca-algebra-i--number-properties-and-absolute-value", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.mp4/ZouQdHSyelg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.mp4/ZouQdHSyelg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.m3u8/ZouQdHSyelg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZouQdHSyelg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v24364", "sha": "6d1c8d76bd84162ce58bdd8fb373198767ddc82f", "translated_description": "1-7, number properties and absolute value equations", "image_url": "https://img.youtube.com/vi/ZouQdHSyelg/hqdefault.jpg", "youtube_id": "ZouQdHSyelg", "content_kind": "Video", "readable_id": "ca-algebra-i--number-properties-and-absolute-value"}, {"translated_youtube_id": "62NoiGwZmd4", "relative_url": "/video/properties-of-numbers-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/properties-of-numbers-1", "duration": 123, "translated_title": "Properties of numbers 1", "translated_description_html": "", "id": "x1f8ade06", "description_html": "", "title": "Properties of numbers 1", "progress_key": "vx1f8ade06", "edit_slug": "edit/v/x1f8ade06", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-22T23:40:04Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/properties-of-numbers-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-06T00:04:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/62NoiGwZmd4.mp4/62NoiGwZmd4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/62NoiGwZmd4.mp4/62NoiGwZmd4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/62NoiGwZmd4.m3u8/62NoiGwZmd4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=62NoiGwZmd4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1f8ade06", "sha": "5235c336d2a797aa44c8e07b51da587e562e238c", "translated_description": "", "image_url": "https://img.youtube.com/vi/62NoiGwZmd4/hqdefault.jpg", "youtube_id": "62NoiGwZmd4", "content_kind": "Video", "readable_id": "properties-of-numbers-1"}, {"translated_youtube_id": "vOVPusp5-tg", "relative_url": "/video/number-properties-terminology-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-properties-terminology-1", "duration": 185, "translated_title": "Number properties terminology 1", "translated_description_html": "", "id": "xeee1b8f6", "description_html": "", "title": "Number properties terminology 1", "progress_key": "vxeee1b8f6", "edit_slug": "edit/v/xeee1b8f6", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-22T23:40:04Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/number-properties-terminology-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vOVPusp5-tg.mp4/vOVPusp5-tg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vOVPusp5-tg.mp4/vOVPusp5-tg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vOVPusp5-tg.m3u8/vOVPusp5-tg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vOVPusp5-tg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeee1b8f6", "sha": "0a27a8cbae4fdfbb9355c6b573c65e8f1123d925", "translated_description": "", "image_url": "https://img.youtube.com/vi/vOVPusp5-tg/hqdefault.jpg", "youtube_id": "vOVPusp5-tg", "content_kind": "Video", "readable_id": "number-properties-terminology-1"}, {"translated_youtube_id": "6nZp2QGeQ9k", "relative_url": "/video/identity-property-of-1", "has_questions": false, "keywords": "U01_L4_T1_we2, Identity, Property, of, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/identity-property-of-1", "duration": 84, "translated_title": "Identity property of 1", "translated_description_html": "Identity Property of 1", "id": "2600685", "description_html": "Identity Property of 1", "title": "Identity property of 1", "progress_key": "v2600685", "edit_slug": "edit/v/2600685", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identity Property of 1", "extra_properties": null, "node_slug": "v/identity-property-of-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6nZp2QGeQ9k.mp4/6nZp2QGeQ9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6nZp2QGeQ9k.mp4/6nZp2QGeQ9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6nZp2QGeQ9k.m3u8/6nZp2QGeQ9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6nZp2QGeQ9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600685", "sha": "eff4656a22e2ea72cd8b3b9f0a32db26c69eaf1b", "translated_description": "Identity Property of 1", "image_url": "https://img.youtube.com/vi/6nZp2QGeQ9k/hqdefault.jpg", "youtube_id": "6nZp2QGeQ9k", "content_kind": "Video", "readable_id": "identity-property-of-1"}, {"translated_youtube_id": "_86K0yQ8BQY", "relative_url": "/video/identity-property-of-1--second-example", "has_questions": false, "keywords": "U09_L2_T4_we3, Identity, property, of", "ka_url": "http://www.khanacademy.org/video/identity-property-of-1--second-example", "duration": 115, "translated_title": "Identity property of 1 (second example)", "translated_description_html": "Identity property of 1", "id": "13179322", "description_html": "Identity property of 1", "title": "Identity property of 1 (second example)", "progress_key": "v13179322", "edit_slug": "edit/v/13179322", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identity property of 1", "extra_properties": null, "node_slug": "v/identity-property-of-1--second-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_86K0yQ8BQY.mp4/_86K0yQ8BQY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_86K0yQ8BQY.mp4/_86K0yQ8BQY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_86K0yQ8BQY.m3u8/_86K0yQ8BQY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_86K0yQ8BQY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179322", "sha": "015031a6d8fbafbf3bc41773faa74d095b41c83d", "translated_description": "Identity property of 1", "image_url": "https://img.youtube.com/vi/_86K0yQ8BQY/hqdefault.jpg", "youtube_id": "_86K0yQ8BQY", "content_kind": "Video", "readable_id": "identity-property-of-1--second-example"}, {"translated_youtube_id": "uXTRmzXlorI", "relative_url": "/video/identity-property-of-0", "has_questions": false, "keywords": "U09_L2_T2_we3, Identity, property, of, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/identity-property-of-0", "duration": 286, "translated_title": "Identity property of 0", "translated_description_html": "Identity property of 0", "id": "13179315", "description_html": "Identity property of 0", "title": "Identity property of 0", "progress_key": "v13179315", "edit_slug": "edit/v/13179315", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Identity property of 0", "extra_properties": null, "node_slug": "v/identity-property-of-0", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXTRmzXlorI.mp4/uXTRmzXlorI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uXTRmzXlorI.mp4/uXTRmzXlorI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uXTRmzXlorI.m3u8/uXTRmzXlorI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uXTRmzXlorI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179315", "sha": "b451b811241041914783169877e87d90bb934288", "translated_description": "Identity property of 0", "image_url": "https://img.youtube.com/vi/uXTRmzXlorI/hqdefault.jpg", "youtube_id": "uXTRmzXlorI", "content_kind": "Video", "readable_id": "identity-property-of-0"}, {"translated_youtube_id": "bjVn4WGmNis", "relative_url": "/video/inverse-property-of-addition", "has_questions": false, "keywords": "additive, inverse, property", "ka_url": "http://www.khanacademy.org/video/inverse-property-of-addition", "duration": 179, "translated_title": "Inverse property of addition", "translated_description_html": "The simple idea that a number plus its negative is 0", "id": "261091818", "description_html": "The simple idea that a number plus its negative is 0", "title": "Inverse property of addition", "progress_key": "v261091818", "edit_slug": "edit/v/261091818", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The simple idea that a number plus its negative is 0", "extra_properties": null, "node_slug": "v/inverse-property-of-addition", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-09-21T10:00:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bjVn4WGmNis.mp4/bjVn4WGmNis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bjVn4WGmNis.mp4/bjVn4WGmNis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bjVn4WGmNis.m3u8/bjVn4WGmNis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bjVn4WGmNis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v261091818", "sha": "d7995ec1d1b9e2db5cb193a9fae13b75cc308349", "translated_description": "The simple idea that a number plus its negative is 0", "image_url": "https://img.youtube.com/vi/bjVn4WGmNis/hqdefault.jpg", "youtube_id": "bjVn4WGmNis", "content_kind": "Video", "readable_id": "inverse-property-of-addition"}, {"translated_youtube_id": "XMwnJUprid8", "relative_url": "/video/inverse-property-of-multiplication", "has_questions": false, "keywords": "Inverse, Property, of, Multiplication", "ka_url": "http://www.khanacademy.org/video/inverse-property-of-multiplication", "duration": 197, "translated_title": "Inverse property of multiplication", "translated_description_html": "Simple idea that multiplying by a numbers multiplicative inverse gets you back to one", "id": "261091817", "description_html": "Simple idea that multiplying by a numbers multiplicative inverse gets you back to one", "title": "Inverse property of multiplication", "progress_key": "v261091817", "edit_slug": "edit/v/261091817", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simple idea that multiplying by a numbers multiplicative inverse gets you back to one", "extra_properties": null, "node_slug": "v/inverse-property-of-multiplication", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-21T10:00:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMwnJUprid8.mp4/XMwnJUprid8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMwnJUprid8.mp4/XMwnJUprid8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMwnJUprid8.m3u8/XMwnJUprid8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMwnJUprid8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v261091817", "sha": "9c84f2abaa3d9c8d6767eceea55cd7b0438c618b", "translated_description": "Simple idea that multiplying by a numbers multiplicative inverse gets you back to one", "image_url": "https://img.youtube.com/vi/XMwnJUprid8/hqdefault.jpg", "youtube_id": "XMwnJUprid8", "content_kind": "Video", "readable_id": "inverse-property-of-multiplication"}, {"translated_youtube_id": "-RT52vs9tBI", "relative_url": "/video/properties-of-numbers-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/properties-of-numbers-2", "duration": 112, "translated_title": "Properties of numbers 2", "translated_description_html": "", "id": "xec75ad78", "description_html": "", "title": "Properties of numbers 2", "progress_key": "vxec75ad78", "edit_slug": "edit/v/xec75ad78", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-22T23:40:04Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/properties-of-numbers-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-06T00:04:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-RT52vs9tBI.mp4/-RT52vs9tBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-RT52vs9tBI.mp4/-RT52vs9tBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-RT52vs9tBI.m3u8/-RT52vs9tBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-RT52vs9tBI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec75ad78", "sha": "308b28dd17fed846e0316a3e8515ea25e5f6357b", "translated_description": "", "image_url": "https://img.youtube.com/vi/-RT52vs9tBI/hqdefault.jpg", "youtube_id": "-RT52vs9tBI", "content_kind": "Video", "readable_id": "properties-of-numbers-2"}], "twitter_url": "", "translated_description": "2 + 3 = 3 + 2, 6 x 4 = 4 x 6. Adding zero to a number does not change the number. Likewise, multiplying a number by 1 does not change it.\n\nYou may already know these things from working through other tutorials, but some people (not us) like to give these properties names that sound far more complicated than the property themselves. This tutorial (which we're not a fan of), is here just in case you're asked to identify the \"Commutative Law of Multiplication\". We believe the important thing isn't the fancy label, but the underlying idea (which isn't that fancy).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "2 + 3 = 3 + 2, 6 x 4 = 4 x 6. Adding zero to a number does not change the number. Likewise, multiplying a number by 1 does not change it.\n\nYou may already know these things from working through other tutorials, but some people (not us) like to give these properties names that sound far more complicated than the property themselves. This tutorial (which we're not a fan of), is here just in case you're asked to identify the \"Commutative Law of Multiplication\". We believe the important thing isn't the fancy label, but the underlying idea (which isn't that fancy).", "x_pos": 0.0, "node_slug": "arithmetic_properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc467dadf", "topic_page_url": "/math/arithmetic/order-of-operations/arithmetic_properties", "extended_slug": "math/arithmetic/order-of-operations/arithmetic_properties", "slug": "arithmetic_properties", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "10ce36518cc3dc19a20aac0f18066de0ace7467b", "standalone_title": "Arithmetic properties", "y_pos": 0.0, "current_revision_key": "10ce36518cc3dc19a20aac0f18066de0ace7467b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic.", "x_pos": -4.0, "node_slug": "order-of-operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T15:37:51Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax910b651b", "topic_page_url": "/math/arithmetic/order-of-operations", "extended_slug": "math/arithmetic/order-of-operations", "slug": "order-of-operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2b08a4fbe3ca92eae13b3a79b1abd78b575db21d", "standalone_title": "Arithmetic properties", "y_pos": 14.0, "current_revision_key": "2b08a4fbe3ca92eae13b3a79b1abd78b575db21d", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/telling-time-40x40.png", "domain_slug": "math", "relative_url": "/math/arithmetic/telling-time", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/telling-time", "translated_standalone_title": "Telling time", "translated_title": "Telling time", "gplus_url": "", "id": "xa6bcd72f", "old_key_name": "uE6pzc4wW0sC9WfpeFF493N6oi7w_e4pZ-alrrG6", "hide": false, "title": "Telling time", "child_data": [{"kind": "Video", "id": "xf1b5c8ee"}, {"kind": "Exercise", "id": 324885543}, {"kind": "Video", "id": "x43cb870b"}, {"kind": "Exercise", "id": 213165631}, {"kind": "Exercise", "id": 498106090}], "children": [{"translated_youtube_id": "NjJFJ7ge_qk", "relative_url": "/video/telling-time-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/telling-time-exercise-example-1", "duration": 171, "translated_title": "Telling time exercise example 1", "translated_description_html": "", "id": "xf1b5c8ee", "description_html": "", "title": "Telling time exercise example 1", "progress_key": "vxf1b5c8ee", "edit_slug": "edit/v/xf1b5c8ee", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/telling-time-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T07:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NjJFJ7ge_qk.mp4/NjJFJ7ge_qk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NjJFJ7ge_qk.mp4/NjJFJ7ge_qk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NjJFJ7ge_qk.m3u8/NjJFJ7ge_qk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NjJFJ7ge_qk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf1b5c8ee", "sha": "d92ee1c198c9e2d2fbaff57502c6c1ccf5a923b3", "translated_description": "", "image_url": "https://img.youtube.com/vi/NjJFJ7ge_qk/hqdefault.jpg", "youtube_id": "NjJFJ7ge_qk", "content_kind": "Video", "readable_id": "telling-time-exercise-example-1"}, {"translated_youtube_id": "ftndEjAg6qs", "relative_url": "/video/telling-time-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/telling-time-exercise-example-2", "duration": 136, "translated_title": "Telling time exercise example 2", "translated_description_html": "", "id": "x43cb870b", "description_html": "", "title": "Telling time exercise example 2", "progress_key": "vx43cb870b", "edit_slug": "edit/v/x43cb870b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/telling-time-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T07:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ftndEjAg6qs.mp4/ftndEjAg6qs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ftndEjAg6qs.mp4/ftndEjAg6qs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ftndEjAg6qs.m3u8/ftndEjAg6qs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ftndEjAg6qs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx43cb870b", "sha": "1f929111d40969e34d1534caf40f264fe9288dea", "translated_description": "", "image_url": "https://img.youtube.com/vi/ftndEjAg6qs/hqdefault.jpg", "youtube_id": "ftndEjAg6qs", "content_kind": "Video", "readable_id": "telling-time-exercise-example-2"}], "twitter_url": "", "translated_description": "Learn to tell time with some fun exercises!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn to tell time with some fun exercises!", "x_pos": 11.0, "node_slug": "telling-time", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T00:10:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa6bcd72f", "topic_page_url": "/math/arithmetic/telling-time", "extended_slug": "math/arithmetic/telling-time", "slug": "telling-time", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de694876ecf3d22e7cdb9871f39e298f494e02c4", "standalone_title": "Telling time", "y_pos": 3.5, "current_revision_key": "de694876ecf3d22e7cdb9871f39e298f494e02c4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/measurement", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/measurement", "translated_standalone_title": "Measurement", "translated_title": "Measurement", "gplus_url": "", "id": "xc850a7c9", "old_key_name": null, "hide": false, "title": "Measurement", "child_data": [{"kind": "Topic", "id": "x0eb0bd1d"}, {"kind": "Topic", "id": "x044364a7"}, {"kind": "Topic", "id": "x4f2da452"}, {"kind": "Topic", "id": "x9e6b89fc"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/measurement/area-basics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/measurement/area-basics", "translated_standalone_title": "Area basics", "translated_title": "Area basics", "gplus_url": "", "id": "x0eb0bd1d", "old_key_name": null, "hide": false, "title": "Area basics", "child_data": [{"kind": "Video", "id": "xb38a362a"}, {"kind": "Video", "id": "x7a6c7a4f"}, {"kind": "Video", "id": "xc5977d8a"}, {"kind": "Exercise", "id": 898677597}, {"kind": "Exercise", "id": 720749512}, {"kind": "Video", "id": "x14be1b3c"}, {"kind": "Video", "id": "x73ba0104"}, {"kind": "Video", "id": "xddaf6f91"}], "children": [{"translated_youtube_id": "A7zPgMV4eTM", "relative_url": "/video/introduction-to-area-and-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-area-and-unit-squares", "duration": 257, "translated_title": "Introduction to area and unit squares", "translated_description_html": "", "id": "xb38a362a", "description_html": "", "title": "Introduction to area and unit squares", "progress_key": "vxb38a362a", "edit_slug": "edit/v/xb38a362a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-area-and-unit-squares", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.mp4/A7zPgMV4eTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.mp4/A7zPgMV4eTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A7zPgMV4eTM.m3u8/A7zPgMV4eTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A7zPgMV4eTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb38a362a", "sha": "9af7dfbdedcabf95a7148c04b3a0d1b50a5a54e2", "translated_description": "", "image_url": "https://img.youtube.com/vi/A7zPgMV4eTM/hqdefault.jpg", "youtube_id": "A7zPgMV4eTM", "content_kind": "Video", "readable_id": "introduction-to-area-and-unit-squares"}, {"translated_youtube_id": "O1R4H3Ca82E", "relative_url": "/video/measuring-the-same-rectangle-with-different-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-the-same-rectangle-with-different-unit-squares", "duration": 224, "translated_title": "Measuring the same rectangle with different unit squares", "translated_description_html": "", "id": "x7a6c7a4f", "description_html": "", "title": "Measuring the same rectangle with different unit squares", "progress_key": "vx7a6c7a4f", "edit_slug": "edit/v/x7a6c7a4f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-the-same-rectangle-with-different-unit-squares", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.mp4/O1R4H3Ca82E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.mp4/O1R4H3Ca82E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O1R4H3Ca82E.m3u8/O1R4H3Ca82E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O1R4H3Ca82E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7a6c7a4f", "sha": "14e33b06591e045809efc6421fc0c46716d170a3", "translated_description": "", "image_url": "https://img.youtube.com/vi/O1R4H3Ca82E/hqdefault.jpg", "youtube_id": "O1R4H3Ca82E", "content_kind": "Video", "readable_id": "measuring-the-same-rectangle-with-different-unit-squares"}, {"translated_youtube_id": "DRg2VCo8lP0", "relative_url": "/video/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "duration": 320, "translated_title": "Rectangle area as product of dimensions same as counting unit squares", "translated_description_html": "", "id": "xc5977d8a", "description_html": "", "title": "Rectangle area as product of dimensions same as counting unit squares", "progress_key": "vxc5977d8a", "edit_slug": "edit/v/xc5977d8a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.mp4/DRg2VCo8lP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.mp4/DRg2VCo8lP0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRg2VCo8lP0.m3u8/DRg2VCo8lP0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DRg2VCo8lP0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc5977d8a", "sha": "9435939ae09bf5f73bc8905dda74c6e767b1314b", "translated_description": "", "image_url": "https://img.youtube.com/vi/DRg2VCo8lP0/hqdefault.jpg", "youtube_id": "DRg2VCo8lP0", "content_kind": "Video", "readable_id": "rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares"}, {"translated_youtube_id": "Q3wfb0CPhIY", "relative_url": "/video/area-of-rectangles-and-the-distributive-property", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-rectangles-and-the-distributive-property", "duration": 229, "translated_title": "Area of rectangles and the distributive property", "translated_description_html": "", "id": "x14be1b3c", "description_html": "", "title": "Area of rectangles and the distributive property", "progress_key": "vx14be1b3c", "edit_slug": "edit/v/x14be1b3c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/area-of-rectangles-and-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.mp4/Q3wfb0CPhIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.mp4/Q3wfb0CPhIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q3wfb0CPhIY.m3u8/Q3wfb0CPhIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q3wfb0CPhIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14be1b3c", "sha": "615cf20bb493692263aa30f465bfede417d3c4cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q3wfb0CPhIY/hqdefault.jpg", "youtube_id": "Q3wfb0CPhIY", "content_kind": "Video", "readable_id": "area-of-rectangles-and-the-distributive-property"}, {"translated_youtube_id": "ArvnBba_ogI", "relative_url": "/video/comparing-areas-of-plots-of-land", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-areas-of-plots-of-land", "duration": 166, "translated_title": "Comparing areas of plots of land", "translated_description_html": "", "id": "x73ba0104", "description_html": "", "title": "Comparing areas of plots of land", "progress_key": "vx73ba0104", "edit_slug": "edit/v/x73ba0104", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-areas-of-plots-of-land", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.mp4/ArvnBba_ogI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.mp4/ArvnBba_ogI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ArvnBba_ogI.m3u8/ArvnBba_ogI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ArvnBba_ogI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx73ba0104", "sha": "e61f22f6f06280dc2678e7caff9853171ec436fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/ArvnBba_ogI/hqdefault.jpg", "youtube_id": "ArvnBba_ogI", "content_kind": "Video", "readable_id": "comparing-areas-of-plots-of-land"}, {"translated_youtube_id": "xo4VpX2IIMk", "relative_url": "/video/calculating-the-square-footage-of-a-house", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-the-square-footage-of-a-house", "duration": 364, "translated_title": "Calculating the square footage of a house", "translated_description_html": "", "id": "xddaf6f91", "description_html": "", "title": "Calculating the square footage of a house", "progress_key": "vxddaf6f91", "edit_slug": "edit/v/xddaf6f91", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/calculating-the-square-footage-of-a-house", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2013-09-28T01:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.mp4/xo4VpX2IIMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.mp4/xo4VpX2IIMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xo4VpX2IIMk.m3u8/xo4VpX2IIMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xo4VpX2IIMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxddaf6f91", "sha": "21bc0a6081a4eefa37e3f1cda3336dc8a8a87599", "translated_description": "", "image_url": "https://img.youtube.com/vi/xo4VpX2IIMk/hqdefault.jpg", "youtube_id": "xo4VpX2IIMk", "content_kind": "Video", "readable_id": "calculating-the-square-footage-of-a-house"}], "twitter_url": "", "translated_description": "Area is how we thinking about how much space something takes in two dimensions such as comparing how much land one property takes up versus another. In this tutorial, we'll take a conceptual look at how area is actually measured (especially for rectangles).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Area is how we thinking about how much space something takes in two dimensions such as comparing how much land one property takes up versus another. In this tutorial, we'll take a conceptual look at how area is actually measured (especially for rectangles).", "x_pos": 0.0, "node_slug": "area-basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T06:01:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0eb0bd1d", "topic_page_url": "/math/arithmetic/measurement/area-basics", "extended_slug": "math/arithmetic/measurement/area-basics", "slug": "area-basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fa8df020eeb2f1fc2a8724938ca49f766c0afe80", "standalone_title": "Area basics", "y_pos": 0.0, "current_revision_key": "fa8df020eeb2f1fc2a8724938ca49f766c0afe80", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/measurement/perimeter", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/measurement/perimeter", "translated_standalone_title": "Perimeter", "translated_title": "Perimeter", "gplus_url": "", "id": "x044364a7", "old_key_name": null, "hide": false, "title": "Perimeter", "child_data": [{"kind": "Video", "id": "x4557edbe"}, {"kind": "Video", "id": "xd4586b32"}, {"kind": "Exercise", "id": 840068734}, {"kind": "Exercise", "id": 720553954}, {"kind": "Video", "id": "x48f720c6"}], "children": [{"translated_youtube_id": "9uwLgf84p5w", "relative_url": "/video/introduction-to-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-perimeter", "duration": 201, "translated_title": "Introduction to perimeter", "translated_description_html": "", "id": "x4557edbe", "description_html": "", "title": "Introduction to perimeter", "progress_key": "vx4557edbe", "edit_slug": "edit/v/x4557edbe", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-perimeter", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2013-09-28T01:22:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.mp4/9uwLgf84p5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.mp4/9uwLgf84p5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9uwLgf84p5w.m3u8/9uwLgf84p5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9uwLgf84p5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4557edbe", "sha": "82195c1fcdfea599e22efea1c02dd46c3e256d13", "translated_description": "", "image_url": "https://img.youtube.com/vi/9uwLgf84p5w/hqdefault.jpg", "youtube_id": "9uwLgf84p5w", "content_kind": "Video", "readable_id": "introduction-to-perimeter"}, {"translated_youtube_id": "sJmLjUj_h68", "relative_url": "/video/perimeter-of-a-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/perimeter-of-a-shape", "duration": 123, "translated_title": "Perimeter of a shape", "translated_description_html": "", "id": "xd4586b32", "description_html": "", "title": "Perimeter of a shape", "progress_key": "vxd4586b32", "edit_slug": "edit/v/xd4586b32", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/perimeter-of-a-shape", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-08-02T22:23:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.mp4/sJmLjUj_h68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.mp4/sJmLjUj_h68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sJmLjUj_h68.m3u8/sJmLjUj_h68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sJmLjUj_h68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd4586b32", "sha": "afe41b8675a8360ad408269d33cd96170c545497", "translated_description": "", "image_url": "https://img.youtube.com/vi/sJmLjUj_h68/hqdefault.jpg", "youtube_id": "sJmLjUj_h68", "content_kind": "Video", "readable_id": "perimeter-of-a-shape"}, {"translated_youtube_id": "nLY2bzRfQyo", "relative_url": "/video/comparing-area-and-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-area-and-perimeter", "duration": 334, "translated_title": "Comparing areas and perimeters of rectangles", "translated_description_html": "", "id": "x48f720c6", "description_html": "", "title": "Comparing areas and perimeters of rectangles", "progress_key": "vx48f720c6", "edit_slug": "edit/v/x48f720c6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-area-and-perimeter", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-30T15:49:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.mp4/nLY2bzRfQyo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.mp4/nLY2bzRfQyo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nLY2bzRfQyo.m3u8/nLY2bzRfQyo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nLY2bzRfQyo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx48f720c6", "sha": "373ced412df441ee49f83eec1d44061dcf527470", "translated_description": "", "image_url": "https://img.youtube.com/vi/nLY2bzRfQyo/hqdefault.jpg", "youtube_id": "nLY2bzRfQyo", "content_kind": "Video", "readable_id": "comparing-area-and-perimeter"}], "twitter_url": "", "translated_description": "Have you ever wondered how much fencing you need to surround a plot of land? No? Well, you should still go through this tutorial just in case. You'll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Have you ever wondered how much fencing you need to surround a plot of land? No? Well, you should still go through this tutorial just in case. You'll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.", "x_pos": 0.0, "node_slug": "perimeter", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-30T15:51:26Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax044364a7", "topic_page_url": "/math/arithmetic/measurement/perimeter", "extended_slug": "math/arithmetic/measurement/perimeter", "slug": "perimeter", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bc34db2a27761156eb12f76d551718e923b5b65f", "standalone_title": "Perimeter", "y_pos": 0.0, "current_revision_key": "bc34db2a27761156eb12f76d551718e923b5b65f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/measurement/rectangle-area-perimeter-word-pr", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/measurement/rectangle-area-perimeter-word-pr", "translated_standalone_title": "Rectangle area and perimeter word problems", "translated_title": "Rectangle area and perimeter word problems", "gplus_url": "", "id": "x4f2da452", "old_key_name": null, "hide": false, "title": "Rectangle area and perimeter word problems", "child_data": [{"kind": "Video", "id": "xb3811072"}, {"kind": "Video", "id": "x69d0c013"}, {"kind": "Video", "id": "x927667dd"}], "children": [{"translated_youtube_id": "-J-6VGxld54", "relative_url": "/video/length-and-width-from-perimeter-and-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/length-and-width-from-perimeter-and-area", "duration": 286, "translated_title": "Table dimensions from perimeter and area", "translated_description_html": "", "id": "xb3811072", "description_html": "", "title": "Table dimensions from perimeter and area", "progress_key": "vxb3811072", "edit_slug": "edit/v/xb3811072", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/length-and-width-from-perimeter-and-area", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-09-25T16:12:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.mp4/-J-6VGxld54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.mp4/-J-6VGxld54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-J-6VGxld54.m3u8/-J-6VGxld54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-J-6VGxld54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb3811072", "sha": "d3780f6f5d2a4ac275a8831476b5c42ba37b4646", "translated_description": "", "image_url": "https://img.youtube.com/vi/-J-6VGxld54/hqdefault.jpg", "youtube_id": "-J-6VGxld54", "content_kind": "Video", "readable_id": "length-and-width-from-perimeter-and-area"}, {"translated_youtube_id": "YM2G4ATOcpw", "relative_url": "/video/find-width-from-perimeter", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/find-width-from-perimeter", "duration": 249, "translated_title": "Finding width from perimeter and length", "translated_description_html": "", "id": "x69d0c013", "description_html": "", "title": "Finding width from perimeter and length", "progress_key": "vx69d0c013", "edit_slug": "edit/v/x69d0c013", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/find-width-from-perimeter", "deleted": false, "backup_timestamp": "2013-10-02T04:59:24Z", "date_added": "2013-10-01T16:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YM2G4ATOcpw.mp4/YM2G4ATOcpw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YM2G4ATOcpw.mp4/YM2G4ATOcpw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YM2G4ATOcpw.m3u8/YM2G4ATOcpw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YM2G4ATOcpw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx69d0c013", "sha": "afc685038dfd39affe23e7af240956e745940659", "translated_description": "", "image_url": "https://img.youtube.com/vi/YM2G4ATOcpw/hqdefault.jpg", "youtube_id": "YM2G4ATOcpw", "content_kind": "Video", "readable_id": "find-width-from-perimeter"}, {"translated_youtube_id": "D2Ks5SKU6GM", "relative_url": "/video/comparing-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-area", "duration": 141, "translated_title": "Comparing poster area", "translated_description_html": "", "id": "x927667dd", "description_html": "", "title": "Comparing poster area", "progress_key": "vx927667dd", "edit_slug": "edit/v/x927667dd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/comparing-area", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2013-09-25T16:12:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.mp4/D2Ks5SKU6GM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.mp4/D2Ks5SKU6GM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2Ks5SKU6GM.m3u8/D2Ks5SKU6GM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D2Ks5SKU6GM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx927667dd", "sha": "98f3692a1b726b83aab56285eaf17d802f2c812d", "translated_description": "", "image_url": "https://img.youtube.com/vi/D2Ks5SKU6GM/hqdefault.jpg", "youtube_id": "D2Ks5SKU6GM", "content_kind": "Video", "readable_id": "comparing-area"}], "twitter_url": "", "translated_description": "In this tutorial, you'll stretch your understanding of area and perimeter by applying it to word problems.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, you'll stretch your understanding of area and perimeter by applying it to word problems.", "x_pos": 0.0, "node_slug": "rectangle-area-perimeter-word-pr", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-01T16:18:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4f2da452", "topic_page_url": "/math/arithmetic/measurement/rectangle-area-perimeter-word-pr", "extended_slug": "math/arithmetic/measurement/rectangle-area-perimeter-word-pr", "slug": "rectangle-area-perimeter-word-pr", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9f382b8d7096fed0f63d6fd8e08ce9e7bd40d89b", "standalone_title": "Rectangle area and perimeter word problems", "y_pos": 0.0, "current_revision_key": "9f382b8d7096fed0f63d6fd8e08ce9e7bd40d89b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/arithmetic/measurement/volume-introduction-rectangular", "web_url": "", "ka_url": "http://www.khanacademy.org/math/arithmetic/measurement/volume-introduction-rectangular", "translated_standalone_title": "Volume of a box or rectangular prism", "translated_title": "Volume of a box or rectangular prism", "gplus_url": "", "id": "x9e6b89fc", "old_key_name": null, "hide": false, "title": "Volume of a box or rectangular prism", "child_data": [{"kind": "Video", "id": "x153d2046"}, {"kind": "Video", "id": "x10cbe797"}, {"kind": "Exercise", "id": "x47cf8468"}, {"kind": "Video", "id": "xf932dab5"}, {"kind": "Video", "id": "x46bdaeef"}, {"kind": "Exercise", "id": "x42be8afc"}, {"kind": "Video", "id": "x21aac844"}, {"kind": "Exercise", "id": "x5c621858"}], "children": [{"translated_youtube_id": "xMz9WFvox9g", "relative_url": "/video/how-we-measure-volume", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-we-measure-volume", "duration": 471, "translated_title": "How we measure volume", "translated_description_html": "", "id": "x153d2046", "description_html": "", "title": "How we measure volume", "progress_key": "vx153d2046", "edit_slug": "edit/v/x153d2046", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/how-we-measure-volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.mp4/xMz9WFvox9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.mp4/xMz9WFvox9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMz9WFvox9g.m3u8/xMz9WFvox9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xMz9WFvox9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx153d2046", "sha": "3dafcf6e051253e077682e140bd2a40409c1e6cc", "translated_description": "", "image_url": "https://img.youtube.com/vi/xMz9WFvox9g/hqdefault.jpg", "youtube_id": "xMz9WFvox9g", "content_kind": "Video", "readable_id": "how-we-measure-volume"}, {"translated_youtube_id": "7WloKabLhII", "relative_url": "/video/measuring-volume-with-unit-cubes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-volume-with-unit-cubes", "duration": 133, "translated_title": "Measuring volume with unit cubes", "translated_description_html": "", "id": "x10cbe797", "description_html": "", "title": "Measuring volume with unit cubes", "progress_key": "vx10cbe797", "edit_slug": "edit/v/x10cbe797", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-volume-with-unit-cubes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.mp4/7WloKabLhII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.mp4/7WloKabLhII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7WloKabLhII.m3u8/7WloKabLhII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7WloKabLhII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx10cbe797", "sha": "6bcfd216c1a0637592101ac48f3b8d5ef5eae0bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/7WloKabLhII/hqdefault.jpg", "youtube_id": "7WloKabLhII", "content_kind": "Video", "readable_id": "measuring-volume-with-unit-cubes"}, {"translated_youtube_id": "daCT_24RnIY", "relative_url": "/video/measuring-volume-as-area-times-length", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-volume-as-area-times-length", "duration": 442, "translated_title": "Measuring volume as area times length", "translated_description_html": "", "id": "xf932dab5", "description_html": "", "title": "Measuring volume as area times length", "progress_key": "vxf932dab5", "edit_slug": "edit/v/xf932dab5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/measuring-volume-as-area-times-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.mp4/daCT_24RnIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.mp4/daCT_24RnIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/daCT_24RnIY.m3u8/daCT_24RnIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=daCT_24RnIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf932dab5", "sha": "d0863c3166ee8d2daf3a45420f24c3498311e031", "translated_description": "", "image_url": "https://img.youtube.com/vi/daCT_24RnIY/hqdefault.jpg", "youtube_id": "daCT_24RnIY", "content_kind": "Video", "readable_id": "measuring-volume-as-area-times-length"}, {"translated_youtube_id": "I9efKVtLCf4", "relative_url": "/video/volume-of-a-rectangular-prism-or-box-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/volume-of-a-rectangular-prism-or-box-examples", "duration": 119, "translated_title": "Volume of a rectangular prism or box examples", "translated_description_html": "", "id": "x46bdaeef", "description_html": "", "title": "Volume of a rectangular prism or box examples", "progress_key": "vx46bdaeef", "edit_slug": "edit/v/x46bdaeef", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/volume-of-a-rectangular-prism-or-box-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.mp4/I9efKVtLCf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.mp4/I9efKVtLCf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I9efKVtLCf4.m3u8/I9efKVtLCf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I9efKVtLCf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx46bdaeef", "sha": "b6d844c059ce74639b21f30162fed8cbccab8f56", "translated_description": "", "image_url": "https://img.youtube.com/vi/I9efKVtLCf4/hqdefault.jpg", "youtube_id": "I9efKVtLCf4", "content_kind": "Video", "readable_id": "volume-of-a-rectangular-prism-or-box-examples"}, {"translated_youtube_id": "OanPzjf2EYY", "relative_url": "/video/volume-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/volume-word-problem-example", "duration": 280, "translated_title": "Volume word problem example", "translated_description_html": "", "id": "x21aac844", "description_html": "", "title": "Volume word problem example", "progress_key": "vx21aac844", "edit_slug": "edit/v/x21aac844", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/volume-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-21T23:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.mp4/OanPzjf2EYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.mp4/OanPzjf2EYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OanPzjf2EYY.m3u8/OanPzjf2EYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OanPzjf2EYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx21aac844", "sha": "bca0e8ca47db1ae6a5e9e4201adc7f4173a962f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/OanPzjf2EYY/hqdefault.jpg", "youtube_id": "OanPzjf2EYY", "content_kind": "Video", "readable_id": "volume-word-problem-example"}], "twitter_url": "", "translated_description": "Volume measures how much 3-dimensional \"space\" an object takes up. We'll see in this tutorial that it is an extension of length (1-D) or area (2-D) to three dimensions!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Volume measures how much 3-dimensional \"space\" an object takes up. We'll see in this tutorial that it is an extension of length (1-D) or area (2-D) to three dimensions!", "x_pos": 0.0, "node_slug": "volume-introduction-rectangular", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T23:28:28Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9e6b89fc", "topic_page_url": "/math/arithmetic/measurement/volume-introduction-rectangular", "extended_slug": "math/arithmetic/measurement/volume-introduction-rectangular", "slug": "volume-introduction-rectangular", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "693eb6f30898e13744d120dcc189268c92404b56", "standalone_title": "Volume of a box or rectangular prism", "y_pos": 0.0, "current_revision_key": "693eb6f30898e13744d120dcc189268c92404b56", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "From length to area to volume to time, thinking about how we measure things.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "From length to area to volume to time, thinking about how we measure things.", "x_pos": 0.0, "node_slug": "measurement", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T01:22:43Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc850a7c9", "topic_page_url": "/math/arithmetic/measurement", "extended_slug": "math/arithmetic/measurement", "slug": "measurement", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "498bd726d918cd5fb697314a01a2acc660ef7556", "standalone_title": "Measurement", "y_pos": 0.0, "current_revision_key": "498bd726d918cd5fb697314a01a2acc660ef7556", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The first math topic. Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. This topic includes videos from the former developmental math playlists.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The first math topic. Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. This topic includes videos from the former developmental math playlists.", "x_pos": 0.0, "node_slug": "arithmetic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-30T18:25:08Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18ca194a", "topic_page_url": "/math/arithmetic", "extended_slug": "math/arithmetic", "slug": "arithmetic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0fd8c92ca4f74db9c3ec5440a5623ece2b4a45db", "standalone_title": "Arithmetic and pre-algebra", "y_pos": 0.0, "current_revision_key": "0fd8c92ca4f74db9c3ec5440a5623ece2b4a45db", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra", "translated_standalone_title": "Algebra", "translated_title": "Algebra", "gplus_url": "", "id": "xcf876fe7", "old_key_name": "DhTrYVRfEqHtVTWUNbuXDCoz9uITGunnNy8EOQ6k", "hide": false, "title": "Algebra", "child_data": [{"kind": "Topic", "id": "x73f542cc"}, {"kind": "Topic", "id": "x86a3d4b8"}, {"kind": "Topic", "id": "x468c6c9a"}, {"kind": "Topic", "id": "x95ee270d"}, {"kind": "Topic", "id": "xd6035bab"}, {"kind": "Topic", "id": "x3686c281"}, {"kind": "Topic", "id": "x46068850"}, {"kind": "Topic", "id": "x929e00f1"}, {"kind": "Topic", "id": "xe8002e2d"}, {"kind": "Topic", "id": "xdd7aa21f"}, {"kind": "Topic", "id": "x7db461ca"}, {"kind": "Topic", "id": "x01b58215"}, {"kind": "Topic", "id": "x18d95b5d"}, {"kind": "Topic", "id": "x6db71967"}, {"kind": "Topic", "id": "xd7a3ca35"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra", "translated_standalone_title": "Introduction to algebra", "translated_title": "Introduction to algebra", "gplus_url": "", "id": "x73f542cc", "old_key_name": "ES42PFTrnyI3qIU-b2XIjTAnTVpAdeqPWBrQXfNv", "hide": false, "title": "Introduction to algebra", "child_data": [{"kind": "Topic", "id": "x2b1d16de"}, {"kind": "Topic", "id": "x42b5d7f0"}, {"kind": "Topic", "id": "xb2122ce8"}, {"kind": "Topic", "id": "x11b8fb71"}, {"kind": "Topic", "id": "xcb2a074d"}, {"kind": "Topic", "id": "x18877d81"}, {"kind": "Topic", "id": "xef81da68"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/overview_hist_alg", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg", "translated_standalone_title": "Overview and history of algebra", "translated_title": "Overview and history of algebra", "gplus_url": "", "id": "x2b1d16de", "old_key_name": "E4rLTWtjF1N7pYmkh8NQlO08iEG-noKQuLVBVG0N", "hide": false, "title": "Overview and history of algebra", "child_data": [{"kind": "Video", "id": 565175118}, {"kind": "Video", "id": 565149394}, {"kind": "Video", "id": 563207734}, {"kind": "Video", "id": 578962249}, {"kind": "Video", "id": 1254552768}], "children": [{"translated_youtube_id": "_LDR1_Prveo", "relative_url": "/video/origins-of-algebra", "has_questions": false, "keywords": "algebra, kwarizmi, diophantus, brahmagupta, marquee", "ka_url": "http://www.khanacademy.org/video/origins-of-algebra", "duration": 438, "translated_title": "Origins of algebra", "translated_description_html": "

Where did the word \"Algebra\" and its underlying ideas come from<\/p>", "id": "565175118", "description_html": "

Where did the word \"Algebra\" and its underlying ideas come from<\/p>", "title": "Origins of algebra", "progress_key": "v565175118", "edit_slug": "edit/v/565175118", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Where did the word \"Algebra\" and its underlying ideas come from", "extra_properties": {}, "node_slug": "v/origins-of-algebra", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-02-10T07:30:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_LDR1_Prveo.mp4/_LDR1_Prveo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_LDR1_Prveo.mp4/_LDR1_Prveo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_LDR1_Prveo.m3u8/_LDR1_Prveo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_LDR1_Prveo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v565175118", "sha": "b6a9b3e9d849ee8aa5faa3f1ffa3da8d0a488b32", "translated_description": "Where did the word \"Algebra\" and its underlying ideas come from", "image_url": "https://img.youtube.com/vi/_LDR1_Prveo/hqdefault.jpg", "youtube_id": "_LDR1_Prveo", "content_kind": "Video", "readable_id": "origins-of-algebra"}, {"translated_youtube_id": "ZOYRb2sYrL0", "relative_url": "/video/abstract-ness", "has_questions": false, "keywords": "algebra, abstract", "ka_url": "http://www.khanacademy.org/video/abstract-ness", "duration": 420, "translated_title": "Abstract-ness", "translated_description_html": "The general idea behind the word 'abstract'", "id": "565149394", "description_html": "The general idea behind the word 'abstract'", "title": "Abstract-ness", "progress_key": "v565149394", "edit_slug": "edit/v/565149394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The general idea behind the word 'abstract'", "extra_properties": null, "node_slug": "v/abstract-ness", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-10T08:04:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZOYRb2sYrL0.mp4/ZOYRb2sYrL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZOYRb2sYrL0.mp4/ZOYRb2sYrL0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZOYRb2sYrL0.m3u8/ZOYRb2sYrL0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZOYRb2sYrL0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v565149394", "sha": "e4aeae65afb1a3990b95d93b45309cc55341abe1", "translated_description": "The general idea behind the word 'abstract'", "image_url": "https://img.youtube.com/vi/ZOYRb2sYrL0/hqdefault.jpg", "youtube_id": "ZOYRb2sYrL0", "content_kind": "Video", "readable_id": "abstract-ness"}, {"translated_youtube_id": "kpCJyQ2usJ4", "relative_url": "/video/the-beauty-of-algebra", "has_questions": false, "keywords": "algebra, why, applications, marquee", "ka_url": "http://www.khanacademy.org/video/the-beauty-of-algebra", "duration": 607, "translated_title": "The beauty of algebra", "translated_description_html": "

Why the abstraction of mathematics is so fundamental<\/p>", "id": "563207734", "description_html": "

Why the abstraction of mathematics is so fundamental<\/p>", "title": "The beauty of algebra", "progress_key": "v563207734", "edit_slug": "edit/v/563207734", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why the abstraction of mathematics is so fundamental", "extra_properties": {}, "node_slug": "v/the-beauty-of-algebra", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-09T18:43:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpCJyQ2usJ4.mp4/kpCJyQ2usJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpCJyQ2usJ4.mp4/kpCJyQ2usJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kpCJyQ2usJ4.m3u8/kpCJyQ2usJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kpCJyQ2usJ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v563207734", "sha": "eba663e644f18d5e330de3ba7ace9a16e52ae586", "translated_description": "Why the abstraction of mathematics is so fundamental", "image_url": "https://img.youtube.com/vi/kpCJyQ2usJ4/hqdefault.jpg", "youtube_id": "kpCJyQ2usJ4", "content_kind": "Video", "readable_id": "the-beauty-of-algebra"}, {"translated_youtube_id": "N4nrdf0yYfM", "relative_url": "/video/descartes-and-cartesian-coordinates", "has_questions": false, "keywords": "algebra, decartes, cartesian, coordinates", "ka_url": "http://www.khanacademy.org/video/descartes-and-cartesian-coordinates", "duration": 682, "translated_title": "Descartes and Cartesian coordinates", "translated_description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "id": "578962249", "description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "title": "Descartes and Cartesian coordinates", "progress_key": "v578962249", "edit_slug": "edit/v/578962249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Bridging algebra and geometry. What makes linear equations so linear.", "extra_properties": null, "node_slug": "v/descartes-and-cartesian-coordinates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-15T22:44:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.m3u8/N4nrdf0yYfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4nrdf0yYfM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v578962249", "sha": "e4cbccad996ee2091b111f547d6046e14d705efd", "translated_description": "Bridging algebra and geometry. What makes linear equations so linear.", "image_url": "https://img.youtube.com/vi/N4nrdf0yYfM/hqdefault.jpg", "youtube_id": "N4nrdf0yYfM", "content_kind": "Video", "readable_id": "descartes-and-cartesian-coordinates"}, {"translated_youtube_id": "Tm98lnrlbMA", "relative_url": "/video/why-all-the-letters-in-algebra", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-all-the-letters-in-algebra", "duration": 184, "translated_title": "Why all the letters in algebra?", "translated_description_html": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "id": "1254552768", "description_html": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "title": "Why all the letters in algebra?", "progress_key": "v1254552768", "edit_slug": "edit/v/1254552768", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "extra_properties": null, "node_slug": "v/why-all-the-letters-in-algebra", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T01:45:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.mp4/Tm98lnrlbMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.mp4/Tm98lnrlbMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.m3u8/Tm98lnrlbMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tm98lnrlbMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254552768", "sha": "6696d6ae76d2e1cf8f755fb60fb492f795e59d31", "translated_description": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "image_url": "https://img.youtube.com/vi/Tm98lnrlbMA/hqdefault.jpg", "youtube_id": "Tm98lnrlbMA", "content_kind": "Video", "readable_id": "why-all-the-letters-in-algebra"}], "twitter_url": "", "translated_description": "Did you realize that the word \"algebra\" comes from Arabic (just like \"algorithm\" and \"al jazeera\" and \"Aladdin\")? And what is so great about algebra anyway? \n\nThis tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Did you realize that the word \"algebra\" comes from Arabic (just like \"algorithm\" and \"al jazeera\" and \"Aladdin\")? And what is so great about algebra anyway? \n\nThis tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.", "x_pos": 0.0, "node_slug": "overview_hist_alg", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2b1d16de", "topic_page_url": "/math/algebra/introduction-to-algebra/overview_hist_alg", "extended_slug": "math/algebra/introduction-to-algebra/overview_hist_alg", "slug": "overview_hist_alg", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "af65a6c5d7624f16a0a873afb96fb2a01a7763cf", "standalone_title": "Overview and history of algebra", "y_pos": 0.0, "current_revision_key": "af65a6c5d7624f16a0a873afb96fb2a01a7763cf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/variable-and-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions", "translated_standalone_title": "Variables and expressions", "translated_title": "Variables and expressions", "gplus_url": "", "id": "x42b5d7f0", "old_key_name": "G-eRLtw8DnVf9zeeOWdMADl_CdMgvEyvAn4cWJHl", "hide": false, "title": "Variables and expressions", "child_data": [{"kind": "Video", "id": 1027163525}, {"kind": "Video", "id": 1027377520}, {"kind": "Video", "id": 13179305}, {"kind": "Video", "id": 13179471}, {"kind": "Video", "id": 13179498}, {"kind": "Exercise", "id": 47765362}, {"kind": "Video", "id": 1027324864}, {"kind": "Video", "id": 158922110}, {"kind": "Video", "id": 23582}, {"kind": "Exercise", "id": 213307256}, {"kind": "Video", "id": "x27a60b7a"}, {"kind": "Exercise", "id": "x6859e543"}], "children": [{"translated_youtube_id": "tHYis-DP0oU", "relative_url": "/video/what-is-a-variable", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-variable", "duration": 198, "translated_title": "What is a variable?", "translated_description_html": "Understanding that a variable is just a symbol that can represent different values", "id": "1027163525", "description_html": "Understanding that a variable is just a symbol that can represent different values", "title": "What is a variable?", "progress_key": "v1027163525", "edit_slug": "edit/v/1027163525", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding that a variable is just a symbol that can represent different values", "extra_properties": null, "node_slug": "v/what-is-a-variable", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-09-08T16:14:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.mp4/tHYis-DP0oU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.mp4/tHYis-DP0oU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tHYis-DP0oU.m3u8/tHYis-DP0oU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tHYis-DP0oU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027163525", "sha": "93a0d8244696a6baa0cdce06313b912ee0ca3012", "translated_description": "Understanding that a variable is just a symbol that can represent different values", "image_url": "https://img.youtube.com/vi/tHYis-DP0oU/hqdefault.jpg", "youtube_id": "tHYis-DP0oU", "content_kind": "Video", "readable_id": "what-is-a-variable"}, {"translated_youtube_id": "vDaIKB19TvY", "relative_url": "/video/why-aren-t-we-using-the-multiplication-sign", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-aren-t-we-using-the-multiplication-sign", "duration": 298, "translated_title": "Why aren't we using the multiplication sign", "translated_description_html": "Why we avoid using the traditional multiplication sign in algebra.", "id": "1027377520", "description_html": "Why we avoid using the traditional multiplication sign in algebra.", "title": "Why aren't we using the multiplication sign", "progress_key": "v1027377520", "edit_slug": "edit/v/1027377520", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why we avoid using the traditional multiplication sign in algebra.", "extra_properties": null, "node_slug": "v/why-aren-t-we-using-the-multiplication-sign", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-08T16:15:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.mp4/vDaIKB19TvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.mp4/vDaIKB19TvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDaIKB19TvY.m3u8/vDaIKB19TvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDaIKB19TvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027377520", "sha": "a04f36b7219389ee736ef6e13fc662bb7e22e22b", "translated_description": "Why we avoid using the traditional multiplication sign in algebra.", "image_url": "https://img.youtube.com/vi/vDaIKB19TvY/hqdefault.jpg", "youtube_id": "vDaIKB19TvY", "content_kind": "Video", "readable_id": "why-aren-t-we-using-the-multiplication-sign"}, {"translated_youtube_id": "AJNDeVt9UOo", "relative_url": "/video/variables-and-expressions-1", "has_questions": false, "keywords": "U09_L1_T1_we1, Variables, and, Expressions, CC_6_EE_2_c, CC_6_EE_6, CC_6_EE_9, CC_7_EE_4, CC_8_EE_7", "ka_url": "http://www.khanacademy.org/video/variables-and-expressions-1", "duration": 120, "translated_title": "Example: Evaluating an expression", "translated_description_html": "Variables and Expressions 1", "id": "13179305", "description_html": "Variables and Expressions 1", "title": "Example: Evaluating an expression", "progress_key": "v13179305", "edit_slug": "edit/v/13179305", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Variables and Expressions 1", "extra_properties": null, "node_slug": "v/variables-and-expressions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.mp4/AJNDeVt9UOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.mp4/AJNDeVt9UOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AJNDeVt9UOo.m3u8/AJNDeVt9UOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AJNDeVt9UOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179305", "sha": "2a57132837707defbc19596a5d316212578fb180", "translated_description": "Variables and Expressions 1", "image_url": "https://img.youtube.com/vi/AJNDeVt9UOo/hqdefault.jpg", "youtube_id": "AJNDeVt9UOo", "content_kind": "Video", "readable_id": "variables-and-expressions-1"}, {"translated_youtube_id": "tC1SfxRvtmM", "relative_url": "/video/evaluate-a-formula-using-substitution", "has_questions": false, "keywords": "u10_l1_t4_we1, Evaluate, formula, using, substitution, CC_6_EE_2_c, CC_6_EE_6, CC_6_EE_9, CC_7_EE_4, CC_8_EE_7, CC_8_EE_7_a, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/evaluate-a-formula-using-substitution", "duration": 75, "translated_title": "Example: Evaluate a formula using substitution", "translated_description_html": "Evaluate a formula using substitution", "id": "13179471", "description_html": "Evaluate a formula using substitution", "title": "Example: Evaluate a formula using substitution", "progress_key": "v13179471", "edit_slug": "edit/v/13179471", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Evaluate a formula using substitution", "extra_properties": null, "node_slug": "v/evaluate-a-formula-using-substitution", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.mp4/tC1SfxRvtmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.mp4/tC1SfxRvtmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tC1SfxRvtmM.m3u8/tC1SfxRvtmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tC1SfxRvtmM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179471", "sha": "5e02f542cba92d0eb45da2d63107bf23997b0324", "translated_description": "Evaluate a formula using substitution", "image_url": "https://img.youtube.com/vi/tC1SfxRvtmM/hqdefault.jpg", "youtube_id": "tC1SfxRvtmM", "content_kind": "Video", "readable_id": "evaluate-a-formula-using-substitution"}, {"translated_youtube_id": "NEaLgGi4Vh4", "relative_url": "/video/evaluating-exponential-expressions-2", "has_questions": false, "keywords": "u11_l1_t1_we2, Evaluating, exponential, expressions, CC_6_EE_1, CC_6_EE_2, CC_6_EE_2_c, CC_8_EE_1, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/evaluating-exponential-expressions-2", "duration": 181, "translated_title": "Evaluating exponential expressions 2", "translated_description_html": "Evaluating exponential expressions 2", "id": "13179498", "description_html": "Evaluating exponential expressions 2", "title": "Evaluating exponential expressions 2", "progress_key": "v13179498", "edit_slug": "edit/v/13179498", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Evaluating exponential expressions 2", "extra_properties": null, "node_slug": "v/evaluating-exponential-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NEaLgGi4Vh4.mp4/NEaLgGi4Vh4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NEaLgGi4Vh4.mp4/NEaLgGi4Vh4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NEaLgGi4Vh4.m3u8/NEaLgGi4Vh4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NEaLgGi4Vh4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179498", "sha": "5f12c803d557c81b8e61f10e5705f592403b88eb", "translated_description": "Evaluating exponential expressions 2", "image_url": "https://img.youtube.com/vi/NEaLgGi4Vh4/hqdefault.jpg", "youtube_id": "NEaLgGi4Vh4", "content_kind": "Video", "readable_id": "evaluating-exponential-expressions-2"}, {"translated_youtube_id": "KdfSUbEFums", "relative_url": "/video/expressions-with-two-variables", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/expressions-with-two-variables", "duration": 119, "translated_title": "Expressions with two variables", "translated_description_html": "Basics of expression with two variables", "id": "1027324864", "description_html": "Basics of expression with two variables", "title": "Expressions with two variables", "progress_key": "v1027324864", "edit_slug": "edit/v/1027324864", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of expression with two variables", "extra_properties": null, "node_slug": "v/expressions-with-two-variables", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-09-08T16:15:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KdfSUbEFums.mp4/KdfSUbEFums.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KdfSUbEFums.mp4/KdfSUbEFums.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KdfSUbEFums.m3u8/KdfSUbEFums.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KdfSUbEFums&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027324864", "sha": "cb49fb0b6fb82ed8c849fe132119e9ee33d75820", "translated_description": "Basics of expression with two variables", "image_url": "https://img.youtube.com/vi/KdfSUbEFums/hqdefault.jpg", "youtube_id": "KdfSUbEFums", "content_kind": "Video", "readable_id": "expressions-with-two-variables"}, {"translated_youtube_id": "BXHNzUaIRR0", "relative_url": "/video/evaluating-expressions-with-two-variables", "has_questions": false, "keywords": "u09_l1_t1_we2, Evaluating, Expressions, with, Two, Variables", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-with-two-variables", "duration": 106, "translated_title": "Example: Evaluating expressions with 2 variables", "translated_description_html": "Evaluating Expressions with Two Variables", "id": "158922110", "description_html": "Evaluating Expressions with Two Variables", "title": "Example: Evaluating expressions with 2 variables", "progress_key": "v158922110", "edit_slug": "edit/v/158922110", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating Expressions with Two Variables", "extra_properties": null, "node_slug": "v/evaluating-expressions-with-two-variables", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-18T23:31:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BXHNzUaIRR0.mp4/BXHNzUaIRR0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BXHNzUaIRR0.mp4/BXHNzUaIRR0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BXHNzUaIRR0.m3u8/BXHNzUaIRR0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BXHNzUaIRR0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v158922110", "sha": "2128f891ac92d9d169bf1d3b24c541d83d5d2bfa", "translated_description": "Evaluating Expressions with Two Variables", "image_url": "https://img.youtube.com/vi/BXHNzUaIRR0/hqdefault.jpg", "youtube_id": "BXHNzUaIRR0", "content_kind": "Video", "readable_id": "evaluating-expressions-with-two-variables"}, {"translated_youtube_id": "aoXUWSwiDzE", "relative_url": "/video/variable-expressions", "has_questions": false, "keywords": "Variable, Expressions, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/variable-expressions", "duration": 747, "translated_title": "Examples of evaluating variable expressions", "translated_description_html": null, "id": "23582", "description_html": null, "title": "Examples of evaluating variable expressions", "progress_key": "v23582", "edit_slug": "edit/v/23582", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/variable-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aoXUWSwiDzE.mp4/aoXUWSwiDzE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aoXUWSwiDzE.mp4/aoXUWSwiDzE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aoXUWSwiDzE.m3u8/aoXUWSwiDzE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aoXUWSwiDzE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23582", "sha": "d91d5a8d33140f03fee36ecb84b6200e3841b511", "translated_description": null, "image_url": "https://img.youtube.com/vi/aoXUWSwiDzE/hqdefault.jpg", "youtube_id": "aoXUWSwiDzE", "content_kind": "Video", "readable_id": "variable-expressions"}, {"translated_youtube_id": "I9eLKDbc8og", "relative_url": "/video/evaluating-expressions-3-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-3-exercise", "duration": 204, "translated_title": "Example evaluating expressions in word problems", "translated_description_html": "", "id": "x27a60b7a", "description_html": "", "title": "Example evaluating expressions in word problems", "progress_key": "vx27a60b7a", "edit_slug": "edit/v/x27a60b7a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/evaluating-expressions-3-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T17:55:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.mp4/I9eLKDbc8og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.mp4/I9eLKDbc8og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I9eLKDbc8og.m3u8/I9eLKDbc8og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I9eLKDbc8og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27a60b7a", "sha": "8b35c403c386950478da89080d0757aa3f7bbffe", "translated_description": "", "image_url": "https://img.youtube.com/vi/I9eLKDbc8og/hqdefault.jpg", "youtube_id": "I9eLKDbc8og", "content_kind": "Video", "readable_id": "evaluating-expressions-3-exercise"}], "twitter_url": "", "translated_description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must.\n\nThis tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must.\n\nThis tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.", "x_pos": 0.0, "node_slug": "variable-and-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T19:31:43Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax42b5d7f0", "topic_page_url": "/math/algebra/introduction-to-algebra/variable-and-expressions", "extended_slug": "math/algebra/introduction-to-algebra/variable-and-expressions", "slug": "variable-and-expressions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6c83219e924922c73edd2171252b50519b794a0f", "standalone_title": "Variables and expressions", "y_pos": 0.0, "current_revision_key": "6c83219e924922c73edd2171252b50519b794a0f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/manipulating-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions", "translated_standalone_title": "What expressions express", "translated_title": "Manipulating expressions", "gplus_url": "", "id": "xb2122ce8", "old_key_name": "izswd_fvfBRgzMkALIXjHz4NPF8GkJ5_wiR4_HyP", "hide": false, "title": "Manipulating expressions", "child_data": [{"kind": "Video", "id": 1027260826}, {"kind": "Video", "id": "x175edcf7"}, {"kind": "Video", "id": 1254705621}, {"kind": "Video", "id": 1254724496}, {"kind": "Video", "id": 1254690345}, {"kind": "Exercise", "id": 716798913}, {"kind": "Video", "id": 1027316723}, {"kind": "Exercise", "id": 716812878}, {"kind": "Video", "id": "x27be9457"}, {"kind": "Video", "id": "x5c7a8637"}, {"kind": "Exercise", "id": "x08db428f"}, {"kind": "Video", "id": "xb194eaea"}, {"kind": "Exercise", "id": "xc85799e4"}], "children": [{"translated_youtube_id": "CLWpkv6ccpA", "relative_url": "/video/combining-like-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms", "duration": 273, "translated_title": "Combining like terms", "translated_description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "id": "1027260826", "description_html": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "title": "Combining like terms", "progress_key": "v1027260826", "edit_slug": "edit/v/1027260826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "extra_properties": null, "node_slug": "v/combining-like-terms", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-08T16:16:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLWpkv6ccpA.m3u8/CLWpkv6ccpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLWpkv6ccpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027260826", "sha": "0a11dc8cc38c035614802989f17a0d0bcd1cbe41", "translated_description": "Leveraging the power of Chuck Norris to understand combining like terms in expressions", "image_url": "https://img.youtube.com/vi/CLWpkv6ccpA/hqdefault.jpg", "youtube_id": "CLWpkv6ccpA", "content_kind": "Video", "readable_id": "combining-like-terms"}, {"translated_youtube_id": "HB52UTcAv0g", "relative_url": "/video/adding-like-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-like-rational-terms", "duration": 74, "translated_title": "Adding like rational terms", "translated_description_html": "", "id": "x175edcf7", "description_html": "", "title": "Adding like rational terms", "progress_key": "vx175edcf7", "edit_slug": "edit/v/x175edcf7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-like-rational-terms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.mp4/HB52UTcAv0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HB52UTcAv0g.m3u8/HB52UTcAv0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HB52UTcAv0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx175edcf7", "sha": "062d8bc554a4de66d081a341fb0d4949e2cb23fe", "translated_description": "", "image_url": "https://img.youtube.com/vi/HB52UTcAv0g/hqdefault.jpg", "youtube_id": "HB52UTcAv0g", "content_kind": "Video", "readable_id": "adding-like-rational-terms"}, {"translated_youtube_id": "P6_sK8hRWCA", "relative_url": "/video/combining-like-terms-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-1", "duration": 186, "translated_title": "Combining like terms 1", "translated_description_html": "", "id": "1254705621", "description_html": "", "title": "Combining like terms 1", "progress_key": "v1254705621", "edit_slug": "edit/v/1254705621", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/combining-like-terms-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-29T01:37:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.mp4/P6_sK8hRWCA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P6_sK8hRWCA.m3u8/P6_sK8hRWCA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P6_sK8hRWCA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254705621", "sha": "9a26c77de7ecdba9f5e331d1fda5366b2f5efc6f", "translated_description": "", "image_url": "https://img.youtube.com/vi/P6_sK8hRWCA/hqdefault.jpg", "youtube_id": "P6_sK8hRWCA", "content_kind": "Video", "readable_id": "combining-like-terms-1"}, {"translated_youtube_id": "1DgDt6gCUKs", "relative_url": "/video/combining-like-terms-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-2", "duration": 223, "translated_title": "Combining like terms 2", "translated_description_html": "Simplifying expression with like terms", "id": "1254724496", "description_html": "Simplifying expression with like terms", "title": "Combining like terms 2", "progress_key": "v1254724496", "edit_slug": "edit/v/1254724496", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simplifying expression with like terms", "extra_properties": null, "node_slug": "v/combining-like-terms-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T01:38:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1DgDt6gCUKs.m3u8/1DgDt6gCUKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1DgDt6gCUKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254724496", "sha": "5f07124d125da404db31f78f15d9c95d76e95d52", "translated_description": "Simplifying expression with like terms", "image_url": "https://img.youtube.com/vi/1DgDt6gCUKs/hqdefault.jpg", "youtube_id": "1DgDt6gCUKs", "content_kind": "Video", "readable_id": "combining-like-terms-2"}, {"translated_youtube_id": "FNnmseBlvaY", "relative_url": "/video/combining-like-terms-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-3", "duration": 279, "translated_title": "Combining like terms 3", "translated_description_html": "Hairier example of combining like terms in an expression", "id": "1254690345", "description_html": "Hairier example of combining like terms in an expression", "title": "Combining like terms 3", "progress_key": "v1254690345", "edit_slug": "edit/v/1254690345", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hairier example of combining like terms in an expression", "extra_properties": null, "node_slug": "v/combining-like-terms-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-29T01:38:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.mp4/FNnmseBlvaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.mp4/FNnmseBlvaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FNnmseBlvaY.m3u8/FNnmseBlvaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FNnmseBlvaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254690345", "sha": "5c3c00489876fa8d510d166b6defac2c5c038b53", "translated_description": "Hairier example of combining like terms in an expression", "image_url": "https://img.youtube.com/vi/FNnmseBlvaY/hqdefault.jpg", "youtube_id": "FNnmseBlvaY", "content_kind": "Video", "readable_id": "combining-like-terms-3"}, {"translated_youtube_id": "3NHSwiv_pSE", "relative_url": "/video/combining-like-terms-and-the-distributive-property", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/combining-like-terms-and-the-distributive-property", "duration": 247, "translated_title": "Combining like terms and the distributive property", "translated_description_html": "Doing a few more involved examples of simplifying expressions", "id": "1027316723", "description_html": "Doing a few more involved examples of simplifying expressions", "title": "Combining like terms and the distributive property", "progress_key": "v1027316723", "edit_slug": "edit/v/1027316723", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Doing a few more involved examples of simplifying expressions", "extra_properties": null, "node_slug": "v/combining-like-terms-and-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-09-08T16:17:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.mp4/3NHSwiv_pSE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.mp4/3NHSwiv_pSE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3NHSwiv_pSE.m3u8/3NHSwiv_pSE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3NHSwiv_pSE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1027316723", "sha": "ea6a72d8b67bb420873510a50e4d23fe99dce8a2", "translated_description": "Doing a few more involved examples of simplifying expressions", "image_url": "https://img.youtube.com/vi/3NHSwiv_pSE/hqdefault.jpg", "youtube_id": "3NHSwiv_pSE", "content_kind": "Video", "readable_id": "combining-like-terms-and-the-distributive-property"}, {"translated_youtube_id": "OLVhZxHU38Q", "relative_url": "/video/factoring-a-linear-expression-with-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-a-linear-expression-with-rational-terms", "duration": 92, "translated_title": "Factoring a linear expression with rational terms", "translated_description_html": "", "id": "x27be9457", "description_html": "", "title": "Factoring a linear expression with rational terms", "progress_key": "vx27be9457", "edit_slug": "edit/v/x27be9457", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/factoring-a-linear-expression-with-rational-terms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.mp4/OLVhZxHU38Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.mp4/OLVhZxHU38Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OLVhZxHU38Q.m3u8/OLVhZxHU38Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OLVhZxHU38Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27be9457", "sha": "5f97988456c1e9000abb266a1b22129a043f0332", "translated_description": "", "image_url": "https://img.youtube.com/vi/OLVhZxHU38Q/hqdefault.jpg", "youtube_id": "OLVhZxHU38Q", "content_kind": "Video", "readable_id": "factoring-a-linear-expression-with-rational-terms"}, {"translated_youtube_id": "V-5q6tKaRuM", "relative_url": "/video/distributive-property-with-rational-terms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/distributive-property-with-rational-terms", "duration": 65, "translated_title": "Distributive property with rational terms", "translated_description_html": "", "id": "x5c7a8637", "description_html": "", "title": "Distributive property with rational terms", "progress_key": "vx5c7a8637", "edit_slug": "edit/v/x5c7a8637", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/distributive-property-with-rational-terms", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-09T19:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.mp4/V-5q6tKaRuM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.mp4/V-5q6tKaRuM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V-5q6tKaRuM.m3u8/V-5q6tKaRuM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V-5q6tKaRuM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c7a8637", "sha": "47191927d4c31be3cfd15af0709e9479ecfcf24a", "translated_description": "", "image_url": "https://img.youtube.com/vi/V-5q6tKaRuM/hqdefault.jpg", "youtube_id": "V-5q6tKaRuM", "content_kind": "Video", "readable_id": "distributive-property-with-rational-terms"}, {"translated_youtube_id": "S9pTSmXmXH8", "relative_url": "/video/equivalent-forms-of-expressions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/equivalent-forms-of-expressions-1", "duration": 332, "translated_title": "Equivalent forms of expressions 1", "translated_description_html": "", "id": "xb194eaea", "description_html": "", "title": "Equivalent forms of expressions 1", "progress_key": "vxb194eaea", "edit_slug": "edit/v/xb194eaea", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/equivalent-forms-of-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.mp4/S9pTSmXmXH8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.mp4/S9pTSmXmXH8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S9pTSmXmXH8.m3u8/S9pTSmXmXH8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S9pTSmXmXH8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb194eaea", "sha": "107d951529ddee0483cdec0b1602c32ed04c7ad8", "translated_description": "", "image_url": "https://img.youtube.com/vi/S9pTSmXmXH8/hqdefault.jpg", "youtube_id": "S9pTSmXmXH8", "content_kind": "Video", "readable_id": "equivalent-forms-of-expressions-1"}], "twitter_url": "", "translated_description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them.\n\nGreat tutorial if you want to understand that expressions are just a way to express things!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them.\n\nGreat tutorial if you want to understand that expressions are just a way to express things!", "x_pos": 0.0, "node_slug": "manipulating-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T19:31:43Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb2122ce8", "topic_page_url": "/math/algebra/introduction-to-algebra/manipulating-expressions", "extended_slug": "math/algebra/introduction-to-algebra/manipulating-expressions", "slug": "manipulating-expressions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7b834ef65bfdb8df20bbc9f6b49d358b46d6dbf5", "standalone_title": "What expressions express", "y_pos": 0.0, "current_revision_key": "7b834ef65bfdb8df20bbc9f6b49d358b46d6dbf5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/writing-expressions-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial", "translated_standalone_title": "Writing and interpreting expressions", "translated_title": "Writing and interpreting expressions", "gplus_url": "", "id": "x11b8fb71", "old_key_name": null, "hide": false, "title": "Writing and interpreting expressions", "child_data": [{"kind": "Video", "id": "xcd612f07"}, {"kind": "Exercise", "id": 47736350}, {"kind": "Video", "id": "xbe65fb1e"}, {"kind": "Video", "id": "xbeff8151"}, {"kind": "Exercise", "id": 47750479}, {"kind": "Video", "id": "xdc8d5607"}, {"kind": "Video", "id": "xd74549ff"}, {"kind": "Exercise", "id": "x348258ef"}, {"kind": "Video", "id": "xa87ab2be"}, {"kind": "Video", "id": "x16d72ff8"}, {"kind": "Video", "id": "x94226688"}, {"kind": "Exercise", "id": "x169caf97"}], "children": [{"translated_youtube_id": "Q1vMNyIP4Us", "relative_url": "/video/writing-expressions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-1", "duration": 98, "translated_title": "Writing expressions 1", "translated_description_html": "", "id": "xcd612f07", "description_html": "", "title": "Writing expressions 1", "progress_key": "vxcd612f07", "edit_slug": "edit/v/xcd612f07", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T19:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.mp4/Q1vMNyIP4Us.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.mp4/Q1vMNyIP4Us.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q1vMNyIP4Us.m3u8/Q1vMNyIP4Us.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q1vMNyIP4Us&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcd612f07", "sha": "896ac79f04e5213599890a639ba73781865dc139", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q1vMNyIP4Us/hqdefault.jpg", "youtube_id": "Q1vMNyIP4Us", "content_kind": "Video", "readable_id": "writing-expressions-1"}, {"translated_youtube_id": "xLYVo_k0_us", "relative_url": "/video/writing-expressions-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-2", "duration": 165, "translated_title": "Writing expressions 2", "translated_description_html": "", "id": "xbe65fb1e", "description_html": "", "title": "Writing expressions 2", "progress_key": "vxbe65fb1e", "edit_slug": "edit/v/xbe65fb1e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T19:28:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.mp4/xLYVo_k0_us.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.mp4/xLYVo_k0_us.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xLYVo_k0_us.m3u8/xLYVo_k0_us.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xLYVo_k0_us&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe65fb1e", "sha": "452ccf127e1f7d8611877816bf089584a1a1f67d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xLYVo_k0_us/hqdefault.jpg", "youtube_id": "xLYVo_k0_us", "content_kind": "Video", "readable_id": "writing-expressions-2"}, {"translated_youtube_id": "Es8yvgc5kvY", "relative_url": "/video/writing-expressions-2-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-2-exercise-example", "duration": 143, "translated_title": "Writing expressions 2 exercise example", "translated_description_html": "", "id": "xbeff8151", "description_html": "", "title": "Writing expressions 2 exercise example", "progress_key": "vxbeff8151", "edit_slug": "edit/v/xbeff8151", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-2-exercise-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T15:25:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.mp4/Es8yvgc5kvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.mp4/Es8yvgc5kvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Es8yvgc5kvY.m3u8/Es8yvgc5kvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Es8yvgc5kvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbeff8151", "sha": "3717555f8cccec8228b6bbf4433ca66bc0868e94", "translated_description": "", "image_url": "https://img.youtube.com/vi/Es8yvgc5kvY/hqdefault.jpg", "youtube_id": "Es8yvgc5kvY", "content_kind": "Video", "readable_id": "writing-expressions-2-exercise-example"}, {"translated_youtube_id": "ao9cx8JlJIU", "relative_url": "/video/interpreting-linear-expressions-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-linear-expressions-example", "duration": 112, "translated_title": "Interpreting linear expressions example", "translated_description_html": "", "id": "xdc8d5607", "description_html": "", "title": "Interpreting linear expressions example", "progress_key": "vxdc8d5607", "edit_slug": "edit/v/xdc8d5607", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-linear-expressions-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T20:31:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.mp4/ao9cx8JlJIU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.mp4/ao9cx8JlJIU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ao9cx8JlJIU.m3u8/ao9cx8JlJIU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ao9cx8JlJIU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdc8d5607", "sha": "e9275d24c658aa6ed74bce1b50e51894bdaa2244", "translated_description": "", "image_url": "https://img.youtube.com/vi/ao9cx8JlJIU/hqdefault.jpg", "youtube_id": "ao9cx8JlJIU", "content_kind": "Video", "readable_id": "interpreting-linear-expressions-example"}, {"translated_youtube_id": "edVnqL2Z59A", "relative_url": "/video/interpreting-linear-expressions-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-linear-expressions-example-2", "duration": 122, "translated_title": "Interpreting linear expressions example 2", "translated_description_html": "", "id": "xd74549ff", "description_html": "", "title": "Interpreting linear expressions example 2", "progress_key": "vxd74549ff", "edit_slug": "edit/v/xd74549ff", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-linear-expressions-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-09T20:31:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.mp4/edVnqL2Z59A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.mp4/edVnqL2Z59A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/edVnqL2Z59A.m3u8/edVnqL2Z59A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=edVnqL2Z59A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd74549ff", "sha": "fe00a4a528da5abae8836008231b32102c5694c9", "translated_description": "", "image_url": "https://img.youtube.com/vi/edVnqL2Z59A/hqdefault.jpg", "youtube_id": "edVnqL2Z59A", "content_kind": "Video", "readable_id": "interpreting-linear-expressions-example-2"}, {"translated_youtube_id": "IEKU6tubTEw", "relative_url": "/video/writing-expressions-3-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-1", "duration": 144, "translated_title": "Writing expressions 3 exercise example 1", "translated_description_html": "", "id": "xa87ab2be", "description_html": "", "title": "Writing expressions 3 exercise example 1", "progress_key": "vxa87ab2be", "edit_slug": "edit/v/xa87ab2be", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.mp4/IEKU6tubTEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.mp4/IEKU6tubTEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IEKU6tubTEw.m3u8/IEKU6tubTEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IEKU6tubTEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa87ab2be", "sha": "7f2885d487cb4885a44a406a1a70ac80e4a592bd", "translated_description": "", "image_url": "https://img.youtube.com/vi/IEKU6tubTEw/hqdefault.jpg", "youtube_id": "IEKU6tubTEw", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-1"}, {"translated_youtube_id": "o_Vt7J08PE4", "relative_url": "/video/writing-expressions-3-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-2", "duration": 80, "translated_title": "Writing expressions 3 exercise example 2", "translated_description_html": "", "id": "x16d72ff8", "description_html": "", "title": "Writing expressions 3 exercise example 2", "progress_key": "vx16d72ff8", "edit_slug": "edit/v/x16d72ff8", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.mp4/o_Vt7J08PE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.mp4/o_Vt7J08PE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_Vt7J08PE4.m3u8/o_Vt7J08PE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_Vt7J08PE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16d72ff8", "sha": "4e3eeab263f586b3e5264a07f03efa993ec3df3f", "translated_description": "", "image_url": "https://img.youtube.com/vi/o_Vt7J08PE4/hqdefault.jpg", "youtube_id": "o_Vt7J08PE4", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-2"}, {"translated_youtube_id": "zaGUlwslGGg", "relative_url": "/video/writing-expressions-3-exercise-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/writing-expressions-3-exercise-example-3", "duration": 44, "translated_title": "Writing expressions 3 exercise example 3", "translated_description_html": "", "id": "x94226688", "description_html": "", "title": "Writing expressions 3 exercise example 3", "progress_key": "vx94226688", "edit_slug": "edit/v/x94226688", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/writing-expressions-3-exercise-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.mp4/zaGUlwslGGg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.mp4/zaGUlwslGGg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zaGUlwslGGg.m3u8/zaGUlwslGGg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zaGUlwslGGg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx94226688", "sha": "a8324ab35efde4dcbc5be84655d2b481085f48aa", "translated_description": "", "image_url": "https://img.youtube.com/vi/zaGUlwslGGg/hqdefault.jpg", "youtube_id": "zaGUlwslGGg", "content_kind": "Video", "readable_id": "writing-expressions-3-exercise-example-3"}], "twitter_url": "", "translated_description": "All the symbols you write in math are just a language or short-hand to represent real-world ideas. In this tutorial, we'll get experience writing algebraic expressions to elegantly represent real-life ideas.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "All the symbols you write in math are just a language or short-hand to represent real-world ideas. In this tutorial, we'll get experience writing algebraic expressions to elegantly represent real-life ideas.", "x_pos": 0.0, "node_slug": "writing-expressions-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T20:36:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11b8fb71", "topic_page_url": "/math/algebra/introduction-to-algebra/writing-expressions-tutorial", "extended_slug": "math/algebra/introduction-to-algebra/writing-expressions-tutorial", "slug": "writing-expressions-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ad46274b87074707af36e36ed061b4360ff544e4", "standalone_title": "Writing and interpreting expressions", "y_pos": 0.0, "current_revision_key": "ad46274b87074707af36e36ed061b4360ff544e4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/algebra_why", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/algebra_why", "translated_standalone_title": "The why of algebra", "translated_title": "The why of algebra", "gplus_url": "", "id": "xcb2a074d", "old_key_name": "5Bj9emmBBHlZ0T7HR4hPM5QgwoNMavSQEozyZSPt", "hide": false, "title": "The why of algebra", "child_data": [{"kind": "Video", "id": 948454929}, {"kind": "Video", "id": 948457910}, {"kind": "Video", "id": 948578231}, {"kind": "Video", "id": 1032479359}, {"kind": "Exercise", "id": 1031282414}, {"kind": "Video", "id": 1032539728}, {"kind": "Video", "id": 948526680}, {"kind": "Exercise", "id": 415207944}, {"kind": "Video", "id": 948504421}, {"kind": "Video", "id": 948601082}, {"kind": "Video", "id": 948327843}, {"kind": "Video", "id": 1254552768}], "children": [{"translated_youtube_id": "5FBDqY41GjU", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 1", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "duration": 152, "translated_title": "Why we do the same thing to both sides: Simple equations", "translated_description_html": "Thinking about how to solve for an unknown mystery mass", "id": "948454929", "description_html": "Thinking about how to solve for an unknown mystery mass", "title": "Why we do the same thing to both sides: Simple equations", "progress_key": "v948454929", "edit_slug": "edit/v/948454929", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about how to solve for an unknown mystery mass", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T17:50:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.m3u8/5FBDqY41GjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FBDqY41GjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948454929", "sha": "cebead3e4c7498a415db506f1d913f537e7e5fea", "translated_description": "Thinking about how to solve for an unknown mystery mass", "image_url": "https://img.youtube.com/vi/5FBDqY41GjU/hqdefault.jpg", "youtube_id": "5FBDqY41GjU", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--simple-equations"}, {"translated_youtube_id": "XN48Ba9Ncr8", "relative_url": "/video/representing-a-relationship-with-a-simple-equation", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 2", "ka_url": "http://www.khanacademy.org/video/representing-a-relationship-with-a-simple-equation", "duration": 204, "translated_title": "Representing a relationship with a simple equation", "translated_description_html": "Why we can represent the unknown mass problem as a simple equation", "id": "948457910", "description_html": "Why we can represent the unknown mass problem as a simple equation", "title": "Representing a relationship with a simple equation", "progress_key": "v948457910", "edit_slug": "edit/v/948457910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we can represent the unknown mass problem as a simple equation", "extra_properties": null, "node_slug": "v/representing-a-relationship-with-a-simple-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-08-07T17:53:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.m3u8/XN48Ba9Ncr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XN48Ba9Ncr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948457910", "sha": "cfecf578755c23b89ff9a6ef026be1127897b421", "translated_description": "Why we can represent the unknown mass problem as a simple equation", "image_url": "https://img.youtube.com/vi/XN48Ba9Ncr8/hqdefault.jpg", "youtube_id": "XN48Ba9Ncr8", "content_kind": "Video", "readable_id": "representing-a-relationship-with-a-simple-equation"}, {"translated_youtube_id": "kbqO0YTUyAY", "relative_url": "/video/one-step-equation-intuition", "has_questions": false, "keywords": "algebra, systems, of, equations", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition", "duration": 279, "translated_title": "One-step equation intuition", "translated_description_html": "Why we solve one-step equations the way we do.", "id": "948578231", "description_html": "Why we solve one-step equations the way we do.", "title": "One-step equation intuition", "progress_key": "v948578231", "edit_slug": "edit/v/948578231", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we solve one-step equations the way we do.", "extra_properties": null, "node_slug": "v/one-step-equation-intuition", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-08-07T18:03:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.m3u8/kbqO0YTUyAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kbqO0YTUyAY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948578231", "sha": "2719cb91be7efdb88bb27d88eabbe6f9ff659e43", "translated_description": "Why we solve one-step equations the way we do.", "image_url": "https://img.youtube.com/vi/kbqO0YTUyAY/hqdefault.jpg", "youtube_id": "kbqO0YTUyAY", "content_kind": "Video", "readable_id": "one-step-equation-intuition"}, {"translated_youtube_id": "kZoFI_fcC74", "relative_url": "/video/one-step-equation-intuition-exercise-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition-exercise-intro", "duration": 111, "translated_title": "One step equation intuition exercise intro", "translated_description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "id": "1032479359", "description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "title": "One step equation intuition exercise intro", "progress_key": "v1032479359", "edit_slug": "edit/v/1032479359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "extra_properties": null, "node_slug": "v/one-step-equation-intuition-exercise-intro", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-11T18:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.m3u8/kZoFI_fcC74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kZoFI_fcC74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032479359", "sha": "384b591b53a8eda4528616bf49134df1da50dae4", "translated_description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "image_url": "https://img.youtube.com/vi/kZoFI_fcC74/hqdefault.jpg", "youtube_id": "kZoFI_fcC74", "content_kind": "Video", "readable_id": "one-step-equation-intuition-exercise-intro"}, {"translated_youtube_id": "jWpiMu5LNdg", "relative_url": "/video/adding-and-subtracting-the-same-thing-from-both-sides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-the-same-thing-from-both-sides", "duration": 129, "translated_title": "Adding and subtracting the same thing from both sides", "translated_description_html": "Two worked examples of solving simple equations", "id": "1032539728", "description_html": "Two worked examples of solving simple equations", "title": "Adding and subtracting the same thing from both sides", "progress_key": "v1032539728", "edit_slug": "edit/v/1032539728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Two worked examples of solving simple equations", "extra_properties": null, "node_slug": "v/adding-and-subtracting-the-same-thing-from-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-11T20:47:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.m3u8/jWpiMu5LNdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jWpiMu5LNdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032539728", "sha": "b9ccc00f01fb7c3087e140c1498cdb382919c835", "translated_description": "Two worked examples of solving simple equations", "image_url": "https://img.youtube.com/vi/jWpiMu5LNdg/hqdefault.jpg", "youtube_id": "jWpiMu5LNdg", "content_kind": "Video", "readable_id": "adding-and-subtracting-the-same-thing-from-both-sides"}, {"translated_youtube_id": "Ye13MIPv6n0", "relative_url": "/video/intuition-why-we-divide-both-sides", "has_questions": false, "keywords": "algebra, equations", "ka_url": "http://www.khanacademy.org/video/intuition-why-we-divide-both-sides", "duration": 194, "translated_title": "Intuition why we divide both sides", "translated_description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "id": "948526680", "description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "title": "Intuition why we divide both sides", "progress_key": "v948526680", "edit_slug": "edit/v/948526680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "extra_properties": null, "node_slug": "v/intuition-why-we-divide-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T18:02:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.m3u8/Ye13MIPv6n0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ye13MIPv6n0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948526680", "sha": "12b05f6db91e4af3d23c4066bf3da132e1aad6f8", "translated_description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "image_url": "https://img.youtube.com/vi/Ye13MIPv6n0/hqdefault.jpg", "youtube_id": "Ye13MIPv6n0", "content_kind": "Video", "readable_id": "intuition-why-we-divide-both-sides"}, {"translated_youtube_id": "_y_Q3_B2Vh8", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, two, step, equations", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "duration": 312, "translated_title": "Why we do the same thing to both sides: Two-step equations", "translated_description_html": "", "id": "948504421", "description_html": "", "title": "Why we do the same thing to both sides: Two-step equations", "progress_key": "v948504421", "edit_slug": "edit/v/948504421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--two-step-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-08-07T18:04:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.m3u8/_y_Q3_B2Vh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_y_Q3_B2Vh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948504421", "sha": "5271bfad921422ce83dcd50b567ae5842355e75a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_y_Q3_B2Vh8/hqdefault.jpg", "youtube_id": "_y_Q3_B2Vh8", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--two-step-equations"}, {"translated_youtube_id": "vkhYFml0w6c", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, multi, step, equations", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "duration": 456, "translated_title": "Why we do the same thing to both sides: Multi-step equations", "translated_description_html": "", "id": "948601082", "description_html": "", "title": "Why we do the same thing to both sides: Multi-step equations", "progress_key": "v948601082", "edit_slug": "edit/v/948601082", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-07T18:04:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.mp4/vkhYFml0w6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.mp4/vkhYFml0w6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.m3u8/vkhYFml0w6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vkhYFml0w6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948601082", "sha": "10697a58c065162d68a0c2ca3c96a96eed9da0ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/vkhYFml0w6c/hqdefault.jpg", "youtube_id": "vkhYFml0w6c", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides-multi-step-equations"}, {"translated_youtube_id": "h9ZgZimXn2Q", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides-basic-systems", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, basic, systems", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides-basic-systems", "duration": 493, "translated_title": "Why we do the same thing to both sides basic systems", "translated_description_html": "", "id": "948327843", "description_html": "", "title": "Why we do the same thing to both sides basic systems", "progress_key": "v948327843", "edit_slug": "edit/v/948327843", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides-basic-systems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-07T18:05:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.mp4/h9ZgZimXn2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.mp4/h9ZgZimXn2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.m3u8/h9ZgZimXn2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h9ZgZimXn2Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948327843", "sha": "9c07f9c462a0e7176a87315e873755df6eac17e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/h9ZgZimXn2Q/hqdefault.jpg", "youtube_id": "h9ZgZimXn2Q", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides-basic-systems"}, {"translated_youtube_id": "Tm98lnrlbMA", "relative_url": "/video/why-all-the-letters-in-algebra", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-all-the-letters-in-algebra", "duration": 184, "translated_title": "Why all the letters in algebra?", "translated_description_html": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "id": "1254552768", "description_html": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "title": "Why all the letters in algebra?", "progress_key": "v1254552768", "edit_slug": "edit/v/1254552768", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "extra_properties": null, "node_slug": "v/why-all-the-letters-in-algebra", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T01:45:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.mp4/Tm98lnrlbMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.mp4/Tm98lnrlbMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tm98lnrlbMA.m3u8/Tm98lnrlbMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tm98lnrlbMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254552768", "sha": "6696d6ae76d2e1cf8f755fb60fb492f795e59d31", "translated_description": "Jesse Roe and Sal Khan talk about why we use letters in algebra", "image_url": "https://img.youtube.com/vi/Tm98lnrlbMA/hqdefault.jpg", "youtube_id": "Tm98lnrlbMA", "content_kind": "Video", "readable_id": "why-all-the-letters-in-algebra"}], "twitter_url": "", "translated_description": "Much of algebra seems obsessed with \"doing the same thing to both sides\". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't?\n\nThis tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Much of algebra seems obsessed with \"doing the same thing to both sides\". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't?\n\nThis tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.", "x_pos": 0.0, "node_slug": "algebra_why", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-16T21:18:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcb2a074d", "topic_page_url": "/math/algebra/introduction-to-algebra/algebra_why", "extended_slug": "math/algebra/introduction-to-algebra/algebra_why", "slug": "algebra_why", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "28d6ee6b407d10c1c782661deff0e79b13def053", "standalone_title": "The why of algebra", "y_pos": 0.0, "current_revision_key": "28d6ee6b407d10c1c782661deff0e79b13def053", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/yoga_plans", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/yoga_plans", "translated_standalone_title": "Yoga plans", "translated_title": "Super Yoga plans", "gplus_url": "", "id": "x18877d81", "old_key_name": "7RmyUTcGS8gF1IZAfBkLWGv5Gvq3e2SQs00wNYnU", "hide": false, "title": "Super Yoga plans", "child_data": [{"kind": "Video", "id": 1094227108}, {"kind": "Video", "id": 1094119956}, {"kind": "Exercise", "id": "x148a27a6"}, {"kind": "Video", "id": 1094225369}, {"kind": "Video", "id": 1094176463}, {"kind": "Video", "id": 1094038882}], "children": [{"translated_youtube_id": "3tRc6mUumFk", "relative_url": "/video/super-yoga-plans--basic-variables-and-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--basic-variables-and-equations", "duration": 439, "translated_title": "Super Yoga plans: Basic variables and equations", "translated_description_html": "Beginning to evaluate which yoga plan is better for me", "id": "1094227108", "description_html": "Beginning to evaluate which yoga plan is better for me", "title": "Super Yoga plans: Basic variables and equations", "progress_key": "v1094227108", "edit_slug": "edit/v/1094227108", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beginning to evaluate which yoga plan is better for me", "extra_properties": null, "node_slug": "v/super-yoga-plans--basic-variables-and-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-10-18T17:51:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.m3u8/3tRc6mUumFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tRc6mUumFk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094227108", "sha": "a4f1e5ec27ebe9ec630c22120ef3168d8573c9b4", "translated_description": "Beginning to evaluate which yoga plan is better for me", "image_url": "https://img.youtube.com/vi/3tRc6mUumFk/hqdefault.jpg", "youtube_id": "3tRc6mUumFk", "content_kind": "Video", "readable_id": "super-yoga-plans--basic-variables-and-equations"}, {"translated_youtube_id": "hq1bUM2tyg0", "relative_url": "/video/super-yoga-plans--solving-one-step-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-one-step-equations", "duration": 460, "translated_title": "Super Yoga plans: Solving one-step equations", "translated_description_html": "Solving one-step equations to see how many sessions can be attended", "id": "1094119956", "description_html": "Solving one-step equations to see how many sessions can be attended", "title": "Super Yoga plans: Solving one-step equations", "progress_key": "v1094119956", "edit_slug": "edit/v/1094119956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving one-step equations to see how many sessions can be attended", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:52:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.m3u8/hq1bUM2tyg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hq1bUM2tyg0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094119956", "sha": "f42f7f9bcc557deebf3154c04c6bd83f1fb5bc41", "translated_description": "Solving one-step equations to see how many sessions can be attended", "image_url": "https://img.youtube.com/vi/hq1bUM2tyg0/hqdefault.jpg", "youtube_id": "hq1bUM2tyg0", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-one-step-equations"}, {"translated_youtube_id": "Ke8k8CNxwog", "relative_url": "/video/super-yoga-plans--plotting-points", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--plotting-points", "duration": 346, "translated_title": "Super Yoga plans: Plotting points", "translated_description_html": "Visualizing the relationship between sessions attended and total cost", "id": "1094225369", "description_html": "Visualizing the relationship between sessions attended and total cost", "title": "Super Yoga plans: Plotting points", "progress_key": "v1094225369", "edit_slug": "edit/v/1094225369", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing the relationship between sessions attended and total cost", "extra_properties": null, "node_slug": "v/super-yoga-plans--plotting-points", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:53:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.mp4/Ke8k8CNxwog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.mp4/Ke8k8CNxwog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.m3u8/Ke8k8CNxwog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ke8k8CNxwog&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094225369", "sha": "872f4bcd6e6d6e9c576f2f3d3ef9eb73328d2c14", "translated_description": "Visualizing the relationship between sessions attended and total cost", "image_url": "https://img.youtube.com/vi/Ke8k8CNxwog/hqdefault.jpg", "youtube_id": "Ke8k8CNxwog", "content_kind": "Video", "readable_id": "super-yoga-plans--plotting-points"}, {"translated_youtube_id": "dawGZs4TaTU", "relative_url": "/video/super-yoga-plans--solving-systems-by-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-systems-by-substitution", "duration": 494, "translated_title": "Super Yoga plans: Solving systems by substitution", "translated_description_html": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "id": "1094176463", "description_html": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "title": "Super Yoga plans: Solving systems by substitution", "progress_key": "v1094176463", "edit_slug": "edit/v/1094176463", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-systems-by-substitution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-18T17:56:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.mp4/dawGZs4TaTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.mp4/dawGZs4TaTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.m3u8/dawGZs4TaTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dawGZs4TaTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094176463", "sha": "265815483bab4fb8a1d8cfc3d7d6695da2dd608b", "translated_description": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "image_url": "https://img.youtube.com/vi/dawGZs4TaTU/hqdefault.jpg", "youtube_id": "dawGZs4TaTU", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-systems-by-substitution"}, {"translated_youtube_id": "8XoQH1MVLew", "relative_url": "/video/super-yoga-plans--solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-systems-by-elimination", "duration": 456, "translated_title": "Super Yoga plans: Solving systems by elimination", "translated_description_html": "Another way to solve for the number of sessions at which both plans cost the same", "id": "1094038882", "description_html": "Another way to solve for the number of sessions at which both plans cost the same", "title": "Super Yoga plans: Solving systems by elimination", "progress_key": "v1094038882", "edit_slug": "edit/v/1094038882", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another way to solve for the number of sessions at which both plans cost the same", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-18T17:56:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.mp4/8XoQH1MVLew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.mp4/8XoQH1MVLew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.m3u8/8XoQH1MVLew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8XoQH1MVLew&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094038882", "sha": "48f9ce8bde72f2aa7ed5b6522a35a2c5b73f84f1", "translated_description": "Another way to solve for the number of sessions at which both plans cost the same", "image_url": "https://img.youtube.com/vi/8XoQH1MVLew/hqdefault.jpg", "youtube_id": "8XoQH1MVLew", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-systems-by-elimination"}], "twitter_url": "", "translated_description": "This tutorial is a survey of all the core ideas in a traditional first-year algebra course. It is by no means comprehensive (that's what the other 600+ videos are for), but it will hopefully whet your appetite for more algebra!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is a survey of all the core ideas in a traditional first-year algebra course. It is by no means comprehensive (that's what the other 600+ videos are for), but it will hopefully whet your appetite for more algebra!", "x_pos": 0.0, "node_slug": "yoga_plans", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-16T21:18:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18877d81", "topic_page_url": "/math/algebra/introduction-to-algebra/yoga_plans", "extended_slug": "math/algebra/introduction-to-algebra/yoga_plans", "slug": "yoga_plans", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6ab4f9e95cc7c7dbb6429f9452212bee8b162a26", "standalone_title": "Yoga plans", "y_pos": 0.0, "current_revision_key": "6ab4f9e95cc7c7dbb6429f9452212bee8b162a26", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit", "translated_standalone_title": "Getting a feel for equations and inequalities", "translated_title": "Getting a feel for equations and inequalities", "gplus_url": "", "id": "xef81da68", "old_key_name": null, "hide": false, "title": "Getting a feel for equations and inequalities", "child_data": [{"kind": "Video", "id": 583878752}, {"kind": "Video", "id": "xce35917b"}, {"kind": "Video", "id": "x2987e1d5"}, {"kind": "Video", "id": "x3603c992"}, {"kind": "Video", "id": "xe78fdf7d"}, {"kind": "Exercise", "id": "x869b2707"}, {"kind": "Video", "id": "x063b5c9e"}, {"kind": "Video", "id": "x03fbe709"}, {"kind": "Video", "id": "xe757cceb"}, {"kind": "Exercise", "id": "xe7ed8da8"}], "children": [{"translated_youtube_id": "vDqOoI-4Z6M", "relative_url": "/video/variables-expressions-and-equations", "has_questions": false, "keywords": "Variables, Expressions, and, Equations", "ka_url": "http://www.khanacademy.org/video/variables-expressions-and-equations", "duration": 415, "translated_title": "Variables, expressions, and equations", "translated_description_html": "Introduction and examples of variables, expressions and equations", "id": "583878752", "description_html": "Introduction and examples of variables, expressions and equations", "title": "Variables, expressions, and equations", "progress_key": "v583878752", "edit_slug": "edit/v/583878752", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction and examples of variables, expressions and equations", "extra_properties": null, "node_slug": "v/variables-expressions-and-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-17T21:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.mp4/vDqOoI-4Z6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.mp4/vDqOoI-4Z6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDqOoI-4Z6M.m3u8/vDqOoI-4Z6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDqOoI-4Z6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v583878752", "sha": "e670f4817c705661b7b806f546f50fcd9aae79a2", "translated_description": "Introduction and examples of variables, expressions and equations", "image_url": "https://img.youtube.com/vi/vDqOoI-4Z6M/hqdefault.jpg", "youtube_id": "vDqOoI-4Z6M", "content_kind": "Video", "readable_id": "variables-expressions-and-equations"}, {"translated_youtube_id": "W7BoAZt8AfA", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-1", "duration": 287, "translated_title": "Solving equations and inequalities through substitution example 1", "translated_description_html": "", "id": "xce35917b", "description_html": "", "title": "Solving equations and inequalities through substitution example 1", "progress_key": "vxce35917b", "edit_slug": "edit/v/xce35917b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.mp4/W7BoAZt8AfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.mp4/W7BoAZt8AfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7BoAZt8AfA.m3u8/W7BoAZt8AfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7BoAZt8AfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxce35917b", "sha": "c1ac9784f5e6056a6279b7fe7f6fe0d21515c367", "translated_description": "", "image_url": "https://img.youtube.com/vi/W7BoAZt8AfA/hqdefault.jpg", "youtube_id": "W7BoAZt8AfA", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-1"}, {"translated_youtube_id": "xG_XJ2ywi6M", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-2", "duration": 76, "translated_title": "Solving equations and inequalities through substitution example 2", "translated_description_html": "", "id": "x2987e1d5", "description_html": "", "title": "Solving equations and inequalities through substitution example 2", "progress_key": "vx2987e1d5", "edit_slug": "edit/v/x2987e1d5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.mp4/xG_XJ2ywi6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.mp4/xG_XJ2ywi6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xG_XJ2ywi6M.m3u8/xG_XJ2ywi6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xG_XJ2ywi6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2987e1d5", "sha": "6142c32705b92f342e84680f18e862c95689c0d3", "translated_description": "", "image_url": "https://img.youtube.com/vi/xG_XJ2ywi6M/hqdefault.jpg", "youtube_id": "xG_XJ2ywi6M", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-2"}, {"translated_youtube_id": "_ghnnjzwCTc", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-3", "duration": 144, "translated_title": "Solving equations and inequalities through substitution example 3", "translated_description_html": "", "id": "x3603c992", "description_html": "", "title": "Solving equations and inequalities through substitution example 3", "progress_key": "vx3603c992", "edit_slug": "edit/v/x3603c992", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.mp4/_ghnnjzwCTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.mp4/_ghnnjzwCTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ghnnjzwCTc.m3u8/_ghnnjzwCTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ghnnjzwCTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3603c992", "sha": "64e5be9e05294a04d88e4fa9e9085a7e08424f7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_ghnnjzwCTc/hqdefault.jpg", "youtube_id": "_ghnnjzwCTc", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-3"}, {"translated_youtube_id": "E_6ysOVUI6A", "relative_url": "/video/solving-equations-and-inequalities-through-substitution-example-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-equations-and-inequalities-through-substitution-example-4", "duration": 153, "translated_title": "Solving equations and inequalities through substitution example 4", "translated_description_html": "", "id": "xe78fdf7d", "description_html": "", "title": "Solving equations and inequalities through substitution example 4", "progress_key": "vxe78fdf7d", "edit_slug": "edit/v/xe78fdf7d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/solving-equations-and-inequalities-through-substitution-example-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.mp4/E_6ysOVUI6A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.mp4/E_6ysOVUI6A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E_6ysOVUI6A.m3u8/E_6ysOVUI6A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E_6ysOVUI6A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe78fdf7d", "sha": "aa2e4ec79c72d832787f6133959c1f4c8daf8262", "translated_description": "", "image_url": "https://img.youtube.com/vi/E_6ysOVUI6A/hqdefault.jpg", "youtube_id": "E_6ysOVUI6A", "content_kind": "Video", "readable_id": "solving-equations-and-inequalities-through-substitution-example-4"}, {"translated_youtube_id": "i9j_VUMq5yg", "relative_url": "/video/dependent-and-independent-variables-exercise-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-1", "duration": 130, "translated_title": "Dependent and independent variables exercise example 1", "translated_description_html": "", "id": "x063b5c9e", "description_html": "", "title": "Dependent and independent variables exercise example 1", "progress_key": "vx063b5c9e", "edit_slug": "edit/v/x063b5c9e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.mp4/i9j_VUMq5yg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.mp4/i9j_VUMq5yg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i9j_VUMq5yg.m3u8/i9j_VUMq5yg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i9j_VUMq5yg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx063b5c9e", "sha": "440c3cfe1c392a16c6f2f709ce5e7d35a6a26737", "translated_description": "", "image_url": "https://img.youtube.com/vi/i9j_VUMq5yg/hqdefault.jpg", "youtube_id": "i9j_VUMq5yg", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-1"}, {"translated_youtube_id": "0eWm-LY23W0", "relative_url": "/video/dependent-and-independent-variables-exercise-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-2", "duration": 60, "translated_title": "Dependent and independent variables exercise example 2", "translated_description_html": "", "id": "x03fbe709", "description_html": "", "title": "Dependent and independent variables exercise example 2", "progress_key": "vx03fbe709", "edit_slug": "edit/v/x03fbe709", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.mp4/0eWm-LY23W0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.mp4/0eWm-LY23W0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0eWm-LY23W0.m3u8/0eWm-LY23W0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0eWm-LY23W0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03fbe709", "sha": "01f952b0f6331de1b3963b1763ae4f8ae03c67ab", "translated_description": "", "image_url": "https://img.youtube.com/vi/0eWm-LY23W0/hqdefault.jpg", "youtube_id": "0eWm-LY23W0", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-2"}, {"translated_youtube_id": "3ACF7L-7Vsg", "relative_url": "/video/dependent-and-independent-variables-exercise-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dependent-and-independent-variables-exercise-example-3", "duration": 120, "translated_title": "Dependent and independent variables exercise example 3", "translated_description_html": "", "id": "xe757cceb", "description_html": "", "title": "Dependent and independent variables exercise example 3", "progress_key": "vxe757cceb", "edit_slug": "edit/v/xe757cceb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dependent-and-independent-variables-exercise-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:15:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.mp4/3ACF7L-7Vsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.mp4/3ACF7L-7Vsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ACF7L-7Vsg.m3u8/3ACF7L-7Vsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ACF7L-7Vsg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe757cceb", "sha": "1a636062e7477b55b89f0187e5d2a701efa3f6a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/3ACF7L-7Vsg/hqdefault.jpg", "youtube_id": "3ACF7L-7Vsg", "content_kind": "Video", "readable_id": "dependent-and-independent-variables-exercise-example-3"}], "twitter_url": "", "translated_description": "The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). \n\nThis tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). \n\nThis tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them.", "x_pos": 0.0, "node_slug": "feel-for-equations-and-inequalit", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T19:19:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef81da68", "topic_page_url": "/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit", "extended_slug": "math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit", "slug": "feel-for-equations-and-inequalit", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e6fee264496264f7f5212dce547af29d9f3848e7", "standalone_title": "Getting a feel for equations and inequalities", "y_pos": 0.0, "current_revision_key": "e6fee264496264f7f5212dce547af29d9f3848e7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos exploring why algebra was developed and how it helps us explain our world.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos exploring why algebra was developed and how it helps us explain our world.", "x_pos": 0.0, "node_slug": "introduction-to-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T19:31:43Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax73f542cc", "topic_page_url": "/math/algebra/introduction-to-algebra", "extended_slug": "math/algebra/introduction-to-algebra", "slug": "introduction-to-algebra", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2e0d5dda053c5834ae9ba56345b64b1e8488fae9", "standalone_title": "Introduction to algebra", "y_pos": 0.0, "current_revision_key": "2e0d5dda053c5834ae9ba56345b64b1e8488fae9", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/solving-linear-equations-and-inequalities-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities", "translated_standalone_title": "Linear equations", "translated_title": "Linear equations", "gplus_url": "", "id": "x86a3d4b8", "old_key_name": "ZRz9FP3Oc1JYP1M_xLUezZcfX1bM8F63rnN4syNu", "hide": false, "title": "Linear equations", "child_data": [{"kind": "Topic", "id": "xb103e586"}, {"kind": "Topic", "id": "xdb8ee9e6"}, {"kind": "Topic", "id": "xbcc8e38a"}, {"kind": "Topic", "id": "xf4acd35b"}, {"kind": "Topic", "id": "x312e9237"}, {"kind": "Topic", "id": "x1b6757da"}, {"kind": "Topic", "id": "x4c548f84"}, {"kind": "Topic", "id": "x3735f44e"}, {"kind": "Topic", "id": "xd84a804f"}, {"kind": "Topic", "id": "x7617ea51"}, {"kind": "Topic", "id": "xba85841f"}, {"kind": "Topic", "id": "x4a2e0ef3"}, {"kind": "Topic", "id": "x9151b4f6"}, {"kind": "Topic", "id": "x6d96ae72"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", "translated_standalone_title": "The why of algebra", "translated_title": "The why of algebra", "gplus_url": "", "id": "xb103e586", "old_key_name": "pS44fEsBFoxjOMZFyXE8h3Uox9PVBzMfvMQC3nwt", "hide": false, "title": "The why of algebra", "child_data": [{"kind": "Video", "id": 948454929}, {"kind": "Video", "id": 948457910}, {"kind": "Video", "id": 948578231}, {"kind": "Video", "id": 1032479359}, {"kind": "Exercise", "id": 1031282414}, {"kind": "Video", "id": 1032539728}, {"kind": "Exercise", "id": 415207944}, {"kind": "Video", "id": 948526680}, {"kind": "Video", "id": 948504421}, {"kind": "Video", "id": 948601082}, {"kind": "Video", "id": 948327843}], "children": [{"translated_youtube_id": "5FBDqY41GjU", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 1", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--simple-equations", "duration": 152, "translated_title": "Why we do the same thing to both sides: Simple equations", "translated_description_html": "Thinking about how to solve for an unknown mystery mass", "id": "948454929", "description_html": "Thinking about how to solve for an unknown mystery mass", "title": "Why we do the same thing to both sides: Simple equations", "progress_key": "v948454929", "edit_slug": "edit/v/948454929", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about how to solve for an unknown mystery mass", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T17:50:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FBDqY41GjU.m3u8/5FBDqY41GjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FBDqY41GjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948454929", "sha": "cebead3e4c7498a415db506f1d913f537e7e5fea", "translated_description": "Thinking about how to solve for an unknown mystery mass", "image_url": "https://img.youtube.com/vi/5FBDqY41GjU/hqdefault.jpg", "youtube_id": "5FBDqY41GjU", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--simple-equations"}, {"translated_youtube_id": "XN48Ba9Ncr8", "relative_url": "/video/representing-a-relationship-with-a-simple-equation", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, 2", "ka_url": "http://www.khanacademy.org/video/representing-a-relationship-with-a-simple-equation", "duration": 204, "translated_title": "Representing a relationship with a simple equation", "translated_description_html": "Why we can represent the unknown mass problem as a simple equation", "id": "948457910", "description_html": "Why we can represent the unknown mass problem as a simple equation", "title": "Representing a relationship with a simple equation", "progress_key": "v948457910", "edit_slug": "edit/v/948457910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we can represent the unknown mass problem as a simple equation", "extra_properties": null, "node_slug": "v/representing-a-relationship-with-a-simple-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-08-07T17:53:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XN48Ba9Ncr8.m3u8/XN48Ba9Ncr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XN48Ba9Ncr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948457910", "sha": "cfecf578755c23b89ff9a6ef026be1127897b421", "translated_description": "Why we can represent the unknown mass problem as a simple equation", "image_url": "https://img.youtube.com/vi/XN48Ba9Ncr8/hqdefault.jpg", "youtube_id": "XN48Ba9Ncr8", "content_kind": "Video", "readable_id": "representing-a-relationship-with-a-simple-equation"}, {"translated_youtube_id": "kbqO0YTUyAY", "relative_url": "/video/one-step-equation-intuition", "has_questions": false, "keywords": "algebra, systems, of, equations", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition", "duration": 279, "translated_title": "One-step equation intuition", "translated_description_html": "Why we solve one-step equations the way we do.", "id": "948578231", "description_html": "Why we solve one-step equations the way we do.", "title": "One-step equation intuition", "progress_key": "v948578231", "edit_slug": "edit/v/948578231", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why we solve one-step equations the way we do.", "extra_properties": null, "node_slug": "v/one-step-equation-intuition", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-08-07T18:03:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kbqO0YTUyAY.m3u8/kbqO0YTUyAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kbqO0YTUyAY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948578231", "sha": "2719cb91be7efdb88bb27d88eabbe6f9ff659e43", "translated_description": "Why we solve one-step equations the way we do.", "image_url": "https://img.youtube.com/vi/kbqO0YTUyAY/hqdefault.jpg", "youtube_id": "kbqO0YTUyAY", "content_kind": "Video", "readable_id": "one-step-equation-intuition"}, {"translated_youtube_id": "kZoFI_fcC74", "relative_url": "/video/one-step-equation-intuition-exercise-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/one-step-equation-intuition-exercise-intro", "duration": 111, "translated_title": "One step equation intuition exercise intro", "translated_description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "id": "1032479359", "description_html": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "title": "One step equation intuition exercise intro", "progress_key": "v1032479359", "edit_slug": "edit/v/1032479359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "extra_properties": null, "node_slug": "v/one-step-equation-intuition-exercise-intro", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-11T18:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.mp4/kZoFI_fcC74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kZoFI_fcC74.m3u8/kZoFI_fcC74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kZoFI_fcC74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032479359", "sha": "384b591b53a8eda4528616bf49134df1da50dae4", "translated_description": "Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition", "image_url": "https://img.youtube.com/vi/kZoFI_fcC74/hqdefault.jpg", "youtube_id": "kZoFI_fcC74", "content_kind": "Video", "readable_id": "one-step-equation-intuition-exercise-intro"}, {"translated_youtube_id": "jWpiMu5LNdg", "relative_url": "/video/adding-and-subtracting-the-same-thing-from-both-sides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-the-same-thing-from-both-sides", "duration": 129, "translated_title": "Adding and subtracting the same thing from both sides", "translated_description_html": "Two worked examples of solving simple equations", "id": "1032539728", "description_html": "Two worked examples of solving simple equations", "title": "Adding and subtracting the same thing from both sides", "progress_key": "v1032539728", "edit_slug": "edit/v/1032539728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Two worked examples of solving simple equations", "extra_properties": null, "node_slug": "v/adding-and-subtracting-the-same-thing-from-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-09-11T20:47:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jWpiMu5LNdg.m3u8/jWpiMu5LNdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jWpiMu5LNdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032539728", "sha": "b9ccc00f01fb7c3087e140c1498cdb382919c835", "translated_description": "Two worked examples of solving simple equations", "image_url": "https://img.youtube.com/vi/jWpiMu5LNdg/hqdefault.jpg", "youtube_id": "jWpiMu5LNdg", "content_kind": "Video", "readable_id": "adding-and-subtracting-the-same-thing-from-both-sides"}, {"translated_youtube_id": "Ye13MIPv6n0", "relative_url": "/video/intuition-why-we-divide-both-sides", "has_questions": false, "keywords": "algebra, equations", "ka_url": "http://www.khanacademy.org/video/intuition-why-we-divide-both-sides", "duration": 194, "translated_title": "Intuition why we divide both sides", "translated_description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "id": "948526680", "description_html": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "title": "Intuition why we divide both sides", "progress_key": "v948526680", "edit_slug": "edit/v/948526680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "extra_properties": null, "node_slug": "v/intuition-why-we-divide-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-08-07T18:02:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.mp4/Ye13MIPv6n0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ye13MIPv6n0.m3u8/Ye13MIPv6n0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ye13MIPv6n0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948526680", "sha": "12b05f6db91e4af3d23c4066bf3da132e1aad6f8", "translated_description": "Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable", "image_url": "https://img.youtube.com/vi/Ye13MIPv6n0/hqdefault.jpg", "youtube_id": "Ye13MIPv6n0", "content_kind": "Video", "readable_id": "intuition-why-we-divide-both-sides"}, {"translated_youtube_id": "_y_Q3_B2Vh8", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, two, step, equations", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides--two-step-equations", "duration": 312, "translated_title": "Why we do the same thing to both sides: Two-step equations", "translated_description_html": "", "id": "948504421", "description_html": "", "title": "Why we do the same thing to both sides: Two-step equations", "progress_key": "v948504421", "edit_slug": "edit/v/948504421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides--two-step-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-08-07T18:04:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.mp4/_y_Q3_B2Vh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_y_Q3_B2Vh8.m3u8/_y_Q3_B2Vh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_y_Q3_B2Vh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948504421", "sha": "5271bfad921422ce83dcd50b567ae5842355e75a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_y_Q3_B2Vh8/hqdefault.jpg", "youtube_id": "_y_Q3_B2Vh8", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides--two-step-equations"}, {"translated_youtube_id": "vkhYFml0w6c", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, multi, step, equations", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "duration": 456, "translated_title": "Why we do the same thing to both sides: Multi-step equations", "translated_description_html": "", "id": "948601082", "description_html": "", "title": "Why we do the same thing to both sides: Multi-step equations", "progress_key": "v948601082", "edit_slug": "edit/v/948601082", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides-multi-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-07T18:04:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.mp4/vkhYFml0w6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.mp4/vkhYFml0w6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vkhYFml0w6c.m3u8/vkhYFml0w6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vkhYFml0w6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948601082", "sha": "10697a58c065162d68a0c2ca3c96a96eed9da0ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/vkhYFml0w6c/hqdefault.jpg", "youtube_id": "vkhYFml0w6c", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides-multi-step-equations"}, {"translated_youtube_id": "h9ZgZimXn2Q", "relative_url": "/video/why-we-do-the-same--thing-to-both-sides-basic-systems", "has_questions": false, "keywords": "Why, we, do, the, same, thing, to, both, sides, basic, systems", "ka_url": "http://www.khanacademy.org/video/why-we-do-the-same--thing-to-both-sides-basic-systems", "duration": 493, "translated_title": "Why we do the same thing to both sides basic systems", "translated_description_html": "", "id": "948327843", "description_html": "", "title": "Why we do the same thing to both sides basic systems", "progress_key": "v948327843", "edit_slug": "edit/v/948327843", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/why-we-do-the-same--thing-to-both-sides-basic-systems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-07T18:05:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.mp4/h9ZgZimXn2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.mp4/h9ZgZimXn2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h9ZgZimXn2Q.m3u8/h9ZgZimXn2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h9ZgZimXn2Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948327843", "sha": "9c07f9c462a0e7176a87315e873755df6eac17e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/h9ZgZimXn2Q/hqdefault.jpg", "youtube_id": "h9ZgZimXn2Q", "content_kind": "Video", "readable_id": "why-we-do-the-same--thing-to-both-sides-basic-systems"}], "twitter_url": "", "translated_description": "Algebra seems mysterious to me. I really don't \"get\" what an equation represents. Why do we do the same thing to both sides?\n\nThis tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Algebra seems mysterious to me. I really don't \"get\" what an equation represents. Why do we do the same thing to both sides?\n\nThis tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.", "x_pos": 0.0, "node_slug": "why-of-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb103e586", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", "slug": "why-of-algebra", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9f055bcbf51d23fd4c1ec30fdb5576f9a562fd5e", "standalone_title": "The why of algebra", "y_pos": 0.0, "current_revision_key": "9f055bcbf51d23fd4c1ec30fdb5576f9a562fd5e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga", "translated_standalone_title": "Super Yoga plans", "translated_title": "Super Yoga plans", "gplus_url": "", "id": "xdb8ee9e6", "old_key_name": "np_DDGDptTBUgBqJQ6sUt_DfqKpDeqyyoPZXKyUt", "hide": false, "title": "Super Yoga plans", "child_data": [{"kind": "Video", "id": 1094227108}, {"kind": "Video", "id": 1094119956}, {"kind": "Exercise", "id": "x148a27a6"}, {"kind": "Video", "id": 1094225369}, {"kind": "Video", "id": 1094176463}, {"kind": "Video", "id": 1094038882}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": "xf3b96f42"}], "children": [{"translated_youtube_id": "3tRc6mUumFk", "relative_url": "/video/super-yoga-plans--basic-variables-and-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--basic-variables-and-equations", "duration": 439, "translated_title": "Super Yoga plans: Basic variables and equations", "translated_description_html": "Beginning to evaluate which yoga plan is better for me", "id": "1094227108", "description_html": "Beginning to evaluate which yoga plan is better for me", "title": "Super Yoga plans: Basic variables and equations", "progress_key": "v1094227108", "edit_slug": "edit/v/1094227108", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beginning to evaluate which yoga plan is better for me", "extra_properties": null, "node_slug": "v/super-yoga-plans--basic-variables-and-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-10-18T17:51:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.mp4/3tRc6mUumFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tRc6mUumFk.m3u8/3tRc6mUumFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tRc6mUumFk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094227108", "sha": "a4f1e5ec27ebe9ec630c22120ef3168d8573c9b4", "translated_description": "Beginning to evaluate which yoga plan is better for me", "image_url": "https://img.youtube.com/vi/3tRc6mUumFk/hqdefault.jpg", "youtube_id": "3tRc6mUumFk", "content_kind": "Video", "readable_id": "super-yoga-plans--basic-variables-and-equations"}, {"translated_youtube_id": "hq1bUM2tyg0", "relative_url": "/video/super-yoga-plans--solving-one-step-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-one-step-equations", "duration": 460, "translated_title": "Super Yoga plans: Solving one-step equations", "translated_description_html": "Solving one-step equations to see how many sessions can be attended", "id": "1094119956", "description_html": "Solving one-step equations to see how many sessions can be attended", "title": "Super Yoga plans: Solving one-step equations", "progress_key": "v1094119956", "edit_slug": "edit/v/1094119956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving one-step equations to see how many sessions can be attended", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:52:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.mp4/hq1bUM2tyg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hq1bUM2tyg0.m3u8/hq1bUM2tyg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hq1bUM2tyg0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094119956", "sha": "f42f7f9bcc557deebf3154c04c6bd83f1fb5bc41", "translated_description": "Solving one-step equations to see how many sessions can be attended", "image_url": "https://img.youtube.com/vi/hq1bUM2tyg0/hqdefault.jpg", "youtube_id": "hq1bUM2tyg0", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-one-step-equations"}, {"translated_youtube_id": "Ke8k8CNxwog", "relative_url": "/video/super-yoga-plans--plotting-points", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--plotting-points", "duration": 346, "translated_title": "Super Yoga plans: Plotting points", "translated_description_html": "Visualizing the relationship between sessions attended and total cost", "id": "1094225369", "description_html": "Visualizing the relationship between sessions attended and total cost", "title": "Super Yoga plans: Plotting points", "progress_key": "v1094225369", "edit_slug": "edit/v/1094225369", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing the relationship between sessions attended and total cost", "extra_properties": null, "node_slug": "v/super-yoga-plans--plotting-points", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-18T17:53:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.mp4/Ke8k8CNxwog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.mp4/Ke8k8CNxwog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ke8k8CNxwog.m3u8/Ke8k8CNxwog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ke8k8CNxwog&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094225369", "sha": "872f4bcd6e6d6e9c576f2f3d3ef9eb73328d2c14", "translated_description": "Visualizing the relationship between sessions attended and total cost", "image_url": "https://img.youtube.com/vi/Ke8k8CNxwog/hqdefault.jpg", "youtube_id": "Ke8k8CNxwog", "content_kind": "Video", "readable_id": "super-yoga-plans--plotting-points"}, {"translated_youtube_id": "dawGZs4TaTU", "relative_url": "/video/super-yoga-plans--solving-systems-by-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-systems-by-substitution", "duration": 494, "translated_title": "Super Yoga plans: Solving systems by substitution", "translated_description_html": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "id": "1094176463", "description_html": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "title": "Super Yoga plans: Solving systems by substitution", "progress_key": "v1094176463", "edit_slug": "edit/v/1094176463", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-systems-by-substitution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-18T17:56:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.mp4/dawGZs4TaTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.mp4/dawGZs4TaTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dawGZs4TaTU.m3u8/dawGZs4TaTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dawGZs4TaTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094176463", "sha": "265815483bab4fb8a1d8cfc3d7d6695da2dd608b", "translated_description": "Continuing our Yoga plan debate by determining where the lines representing the two plans intersect", "image_url": "https://img.youtube.com/vi/dawGZs4TaTU/hqdefault.jpg", "youtube_id": "dawGZs4TaTU", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-systems-by-substitution"}, {"translated_youtube_id": "8XoQH1MVLew", "relative_url": "/video/super-yoga-plans--solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/super-yoga-plans--solving-systems-by-elimination", "duration": 456, "translated_title": "Super Yoga plans: Solving systems by elimination", "translated_description_html": "Another way to solve for the number of sessions at which both plans cost the same", "id": "1094038882", "description_html": "Another way to solve for the number of sessions at which both plans cost the same", "title": "Super Yoga plans: Solving systems by elimination", "progress_key": "v1094038882", "edit_slug": "edit/v/1094038882", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another way to solve for the number of sessions at which both plans cost the same", "extra_properties": null, "node_slug": "v/super-yoga-plans--solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-18T17:56:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.mp4/8XoQH1MVLew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.mp4/8XoQH1MVLew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8XoQH1MVLew.m3u8/8XoQH1MVLew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8XoQH1MVLew&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1094038882", "sha": "48f9ce8bde72f2aa7ed5b6522a35a2c5b73f84f1", "translated_description": "Another way to solve for the number of sessions at which both plans cost the same", "image_url": "https://img.youtube.com/vi/8XoQH1MVLew/hqdefault.jpg", "youtube_id": "8XoQH1MVLew", "content_kind": "Video", "readable_id": "super-yoga-plans--solving-systems-by-elimination"}, {"translated_youtube_id": "0UIrs9BgCS8", "relative_url": "/video/constructing-and-solving-equations-in-the-real-world-1-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-and-solving-equations-in-the-real-world-1-exercise", "duration": 369, "translated_title": "Constructing and solving equations in the real world 1 exercise", "translated_description_html": "", "id": "xf3b96f42", "description_html": "", "title": "Constructing and solving equations in the real world 1 exercise", "progress_key": "vxf3b96f42", "edit_slug": "edit/v/xf3b96f42", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-and-solving-equations-in-the-real-world-1-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T21:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0UIrs9BgCS8.mp4/0UIrs9BgCS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0UIrs9BgCS8.mp4/0UIrs9BgCS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0UIrs9BgCS8.m3u8/0UIrs9BgCS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0UIrs9BgCS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf3b96f42", "sha": "6d7bf5b509adf7ab283810612cb6891d3b14bf0e", "translated_description": "", "image_url": "https://img.youtube.com/vi/0UIrs9BgCS8/hqdefault.jpg", "youtube_id": "0UIrs9BgCS8", "content_kind": "Video", "readable_id": "constructing-and-solving-equations-in-the-real-world-1-exercise"}], "twitter_url": "", "translated_description": "This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!", "x_pos": 0.0, "node_slug": "super-yoga", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-16T21:18:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb8ee9e6", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/super-yoga", "slug": "super-yoga", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ef3c1a79e6c2e202bc34f74b92749ee9856ab07a", "standalone_title": "Super Yoga plans", "y_pos": 0.0, "current_revision_key": "ef3c1a79e6c2e202bc34f74b92749ee9856ab07a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner", "translated_standalone_title": "Equation examples for beginners", "translated_title": "Equations for beginners", "gplus_url": "", "id": "xbcc8e38a", "old_key_name": "UzenoMU19tvyWnSYf8CnnFHZCsw3SMxltn1e-P_D", "hide": false, "title": "Equations for beginners", "child_data": [{"kind": "Video", "id": 7}, {"kind": "Exercise", "id": 415207944}, {"kind": "Video", "id": 13179466}, {"kind": "Exercise", "id": 2012}, {"kind": "Video", "id": 13179465}, {"kind": "Video", "id": 23614}, {"kind": "Exercise", "id": 363799134}, {"kind": "Video", "id": 8}, {"kind": "Video", "id": 23616}, {"kind": "Video", "id": 13179470}, {"kind": "Video", "id": 26777}, {"kind": "Exercise", "id": 3016}], "children": [{"translated_youtube_id": "9Ek61w1LxSc", "relative_url": "/video/simple-equations", "has_questions": false, "keywords": "algebra, introduction, CC_6_EE_5, CC_7_EE_1, CC_7_EE_4", "ka_url": "http://www.khanacademy.org/video/simple-equations", "duration": 666, "translated_title": "Simple equations of the form ax = b", "translated_description_html": "

Introduction to basic algebraic equations of the form Ax=B<\/p>\n", "id": "7", "description_html": "

Introduction to basic algebraic equations of the form Ax=B<\/p>\n", "title": "Simple equations of the form ax = b", "progress_key": "v7", "edit_slug": "edit/v/7", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to basic algebraic equations of the form Ax=B\n", "extra_properties": {"original_url": ""}, "node_slug": "v/simple-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.m3u8/9Ek61w1LxSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Ek61w1LxSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v7", "sha": "5a99155c3b41d7e5288c39362498ac22a87e0efe", "translated_description": "Introduction to basic algebraic equations of the form Ax=B\n", "image_url": "https://img.youtube.com/vi/9Ek61w1LxSc/hqdefault.jpg", "youtube_id": "9Ek61w1LxSc", "content_kind": "Video", "readable_id": "simple-equations"}, {"translated_youtube_id": "DqeMQHomwAU", "relative_url": "/video/solving-one-step-equations-2", "has_questions": false, "keywords": "u10_L1_T1_we3, Solving, One-Step, Equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/solving-one-step-equations-2", "duration": 143, "translated_title": "Example solving x/3 = 14", "translated_description_html": "

Solving One-Step Equations 2<\/p>\n", "id": "13179466", "description_html": "

Solving One-Step Equations 2<\/p>\n", "title": "Example solving x/3 = 14", "progress_key": "v13179466", "edit_slug": "edit/v/13179466", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving One-Step Equations 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-one-step-equations-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.m3u8/DqeMQHomwAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DqeMQHomwAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179466", "sha": "61d1c1855e523308a4d745d3ce17b443671b836f", "translated_description": "Solving One-Step Equations 2\n", "image_url": "https://img.youtube.com/vi/DqeMQHomwAU/hqdefault.jpg", "youtube_id": "DqeMQHomwAU", "content_kind": "Video", "readable_id": "solving-one-step-equations-2"}, {"translated_youtube_id": "VidnbCEOGdg", "relative_url": "/video/solving-one-step-equations", "has_questions": "live", "keywords": "u10_L1_T1_we2, Solving, One-Step, Equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/solving-one-step-equations", "duration": 114, "translated_title": "Example solving x + 5 = 54", "translated_description_html": "

Solving One-Step Equations<\/p>\n", "id": "13179465", "description_html": "

Solving One-Step Equations<\/p>\n", "title": "Example solving x + 5 = 54", "progress_key": "v13179465", "edit_slug": "edit/v/13179465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving One-Step Equations\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-one-step-equations", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.mp4/VidnbCEOGdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.mp4/VidnbCEOGdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VidnbCEOGdg.m3u8/VidnbCEOGdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VidnbCEOGdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179465", "sha": "f350fd84c9e1aafa5cb7989bd5e359562add1e11", "translated_description": "Solving One-Step Equations\n", "image_url": "https://img.youtube.com/vi/VidnbCEOGdg/hqdefault.jpg", "youtube_id": "VidnbCEOGdg", "content_kind": "Video", "readable_id": "solving-one-step-equations"}, {"translated_youtube_id": "9DxrF6Ttws4", "relative_url": "/video/one-step-equations", "has_questions": false, "keywords": "One, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/one-step-equations", "duration": 750, "translated_title": "Examples of one-step equations like ax = b and x + a = b", "translated_description_html": "

One Step Equations<\/p>\n", "id": "23614", "description_html": "

One Step Equations<\/p>\n", "title": "Examples of one-step equations like ax = b and x + a = b", "progress_key": "v23614", "edit_slug": "edit/v/23614", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "One Step Equations\n", "extra_properties": {"original_url": ""}, "node_slug": "v/one-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.m3u8/9DxrF6Ttws4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9DxrF6Ttws4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23614", "sha": "18f30f0a878cde478bacb62af662d0291f2b7af2", "translated_description": "One Step Equations\n", "image_url": "https://img.youtube.com/vi/9DxrF6Ttws4/hqdefault.jpg", "youtube_id": "9DxrF6Ttws4", "content_kind": "Video", "readable_id": "one-step-equations"}, {"translated_youtube_id": "XoEn1LfVoTo", "relative_url": "/video/equations-2", "has_questions": false, "keywords": "Equations, algebra, basic, CC_7_EE_1, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/equations-2", "duration": 521, "translated_title": "Solving ax + b = c", "translated_description_html": "slightly more complicated equations", "id": "8", "description_html": "slightly more complicated equations", "title": "Solving ax + b = c", "progress_key": "v8", "edit_slug": "edit/v/8", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "slightly more complicated equations", "extra_properties": null, "node_slug": "v/equations-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.m3u8/XoEn1LfVoTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XoEn1LfVoTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8", "sha": "5f41acd0517cea0aaf4320d6909c46373540b446", "translated_description": "slightly more complicated equations", "image_url": "https://img.youtube.com/vi/XoEn1LfVoTo/hqdefault.jpg", "youtube_id": "XoEn1LfVoTo", "content_kind": "Video", "readable_id": "equations-2"}, {"translated_youtube_id": "tuVd355R-OQ", "relative_url": "/video/two-step-equations", "has_questions": false, "keywords": "Two, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/two-step-equations", "duration": 830, "translated_title": "Two-step equations", "translated_description_html": "Two-Step Equations", "id": "23616", "description_html": "Two-Step Equations", "title": "Two-step equations", "progress_key": "v23616", "edit_slug": "edit/v/23616", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Two-Step Equations", "extra_properties": null, "node_slug": "v/two-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.m3u8/tuVd355R-OQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tuVd355R-OQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23616", "sha": "4781ca7c638a7dea70fed39b4a08a6507d3b3deb", "translated_description": "Two-Step Equations", "image_url": "https://img.youtube.com/vi/tuVd355R-OQ/hqdefault.jpg", "youtube_id": "tuVd355R-OQ", "content_kind": "Video", "readable_id": "two-step-equations"}, {"translated_youtube_id": "iimpwYBiKNg", "relative_url": "/video/application-problems-with-equation-in-one-variable", "has_questions": false, "keywords": "u10_l1_t3_we2, Application, problems, with, equation, in, one, variable, CC_3_MD_8, CC_4_MD_3, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4, CC_7_EE_4_a, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/application-problems-with-equation-in-one-variable", "duration": 122, "translated_title": "Example: Dimensions of a garden", "translated_description_html": "Application problems with equation in one variable", "id": "13179470", "description_html": "Application problems with equation in one variable", "title": "Example: Dimensions of a garden", "progress_key": "v13179470", "edit_slug": "edit/v/13179470", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Application problems with equation in one variable", "extra_properties": null, "node_slug": "v/application-problems-with-equation-in-one-variable", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.m3u8/iimpwYBiKNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iimpwYBiKNg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179470", "sha": "b86de540a8685f2cca439838fe6ea6a7fa1c2664", "translated_description": "Application problems with equation in one variable", "image_url": "https://img.youtube.com/vi/iimpwYBiKNg/hqdefault.jpg", "youtube_id": "iimpwYBiKNg", "content_kind": "Video", "readable_id": "application-problems-with-equation-in-one-variable"}, {"translated_youtube_id": "p5e5mf_G3FI", "relative_url": "/video/solving-equations-1", "has_questions": false, "keywords": "U02_L1_T1_we1:, Solving, Equations, CC_8_EE_7, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-1", "duration": 184, "translated_title": "Example: Two-step equation with x/4 term", "translated_description_html": "Solving Equations 1", "id": "26777", "description_html": "Solving Equations 1", "title": "Example: Two-step equation with x/4 term", "progress_key": "v26777", "edit_slug": "edit/v/26777", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations 1", "extra_properties": null, "node_slug": "v/solving-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.m3u8/p5e5mf_G3FI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5e5mf_G3FI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26777", "sha": "235ead2d6ee8bcf721b088fc5d11ac56f1c3d42d", "translated_description": "Solving Equations 1", "image_url": "https://img.youtube.com/vi/p5e5mf_G3FI/hqdefault.jpg", "youtube_id": "p5e5mf_G3FI", "content_kind": "Video", "readable_id": "solving-equations-1"}], "twitter_url": "", "translated_description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar.\n\nAnd, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar.\n\nAnd, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!", "x_pos": 0.0, "node_slug": "equations_beginner", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T17:44:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbcc8e38a", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/equations_beginner", "slug": "equations_beginner", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f6c6acd96645c9644e7ca9284e7231ae19e96c03", "standalone_title": "Equation examples for beginners", "y_pos": 0.0, "current_revision_key": "f6c6acd96645c9644e7ca9284e7231ae19e96c03", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu", "translated_standalone_title": "Linear equation word problems", "translated_title": "Linear equation word problems", "gplus_url": "", "id": "xf4acd35b", "old_key_name": null, "hide": false, "title": "Linear equation word problems", "child_data": [{"kind": "Video", "id": 1243194170}, {"kind": "Exercise", "id": 1080749794}, {"kind": "Video", "id": "xdfc35e50"}, {"kind": "Exercise", "id": "xc3bee475"}], "children": [{"translated_youtube_id": "roHvNNFXr4k", "relative_url": "/video/basic-linear-equation-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-linear-equation-word-problem", "duration": 286, "translated_title": "Basic linear equation word problem", "translated_description_html": "Constructing and solving a basic equation based on a word problem.", "id": "1243194170", "description_html": "Constructing and solving a basic equation based on a word problem.", "title": "Basic linear equation word problem", "progress_key": "v1243194170", "edit_slug": "edit/v/1243194170", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing and solving a basic equation based on a word problem.", "extra_properties": null, "node_slug": "v/basic-linear-equation-word-problem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-20T23:58:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.m3u8/roHvNNFXr4k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=roHvNNFXr4k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1243194170", "sha": "b37b95fac6c3514a5cb9c1b99b75bd66b7586029", "translated_description": "Constructing and solving a basic equation based on a word problem.", "image_url": "https://img.youtube.com/vi/roHvNNFXr4k/hqdefault.jpg", "youtube_id": "roHvNNFXr4k", "content_kind": "Video", "readable_id": "basic-linear-equation-word-problem"}, {"translated_youtube_id": "xKH1Evwu150", "relative_url": "/video/linear-equation-word-problem-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/linear-equation-word-problem-example", "duration": 359, "translated_title": "Linear equation word problem example", "translated_description_html": "", "id": "xdfc35e50", "description_html": "", "title": "Linear equation word problem example", "progress_key": "vxdfc35e50", "edit_slug": "edit/v/xdfc35e50", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/linear-equation-word-problem-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-21T14:38:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.mp4/xKH1Evwu150.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.mp4/xKH1Evwu150.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xKH1Evwu150.m3u8/xKH1Evwu150.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xKH1Evwu150&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfc35e50", "sha": "3a62d3cf3444cc746fdaf832bd6774cb9933f68a", "translated_description": "", "image_url": "https://img.youtube.com/vi/xKH1Evwu150/hqdefault.jpg", "youtube_id": "xKH1Evwu150", "content_kind": "Video", "readable_id": "linear-equation-word-problem-example"}], "twitter_url": "", "translated_description": "Now that we are reasonably familiar with what a linear equation is and how we can solve them, let's apply these skills to tackling real-world problems.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Now that we are reasonably familiar with what a linear equation is and how we can solve them, let's apply these skills to tackling real-world problems.", "x_pos": 0.0, "node_slug": "linear-equation-word-problems-tu", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T14:41:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf4acd35b", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu", "slug": "linear-equation-word-problems-tu", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6cbebc5864cbd8d2fa8ca171d96e3f11d1da0476", "standalone_title": "Linear equation word problems", "y_pos": 0.0, "current_revision_key": "6cbebc5864cbd8d2fa8ca171d96e3f11d1da0476", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", "translated_standalone_title": "Solving equations examples and practice", "translated_title": "More fancy equations for beginners", "gplus_url": "", "id": "x312e9237", "old_key_name": "cVJUVYARya3jID43Swh1U_2nE_TZtXhhxX1-MrJ7", "hide": false, "title": "More fancy equations for beginners", "child_data": [{"kind": "Video", "id": 9}, {"kind": "Video", "id": 13179467}, {"kind": "Video", "id": 26778}, {"kind": "Video", "id": 13179469}, {"kind": "Exercise", "id": 3022}, {"kind": "Video", "id": "x60d48e64"}, {"kind": "Video", "id": "x62c9e8fa"}, {"kind": "Video", "id": "xdfacc6f3"}, {"kind": "Exercise", "id": "x0c18d180"}], "children": [{"translated_youtube_id": "f15zA0PhSek", "relative_url": "/video/equations-3", "has_questions": false, "keywords": "algebra, solving, equations, CC_7_EE_1, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/equations-3", "duration": 533, "translated_title": "Variables on both sides", "translated_description_html": "Equations with the variable on both sides.", "id": "9", "description_html": "Equations with the variable on both sides.", "title": "Variables on both sides", "progress_key": "v9", "edit_slug": "edit/v/9", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations with the variable on both sides.", "extra_properties": null, "node_slug": "v/equations-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.mp4/f15zA0PhSek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.mp4/f15zA0PhSek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f15zA0PhSek.m3u8/f15zA0PhSek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f15zA0PhSek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v9", "sha": "2d2495830aae19f294af19989e0ad2e445b41691", "translated_description": "Equations with the variable on both sides.", "image_url": "https://img.youtube.com/vi/f15zA0PhSek/hqdefault.jpg", "youtube_id": "f15zA0PhSek", "content_kind": "Video", "readable_id": "equations-3"}, {"translated_youtube_id": "CGS0vihzSlc", "relative_url": "/video/multi-step-equations-1", "has_questions": false, "keywords": "u10_l1_t2_we1, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/multi-step-equations-1", "duration": 273, "translated_title": "Example 1: Variables on both sides", "translated_description_html": "Multi-step equations 1", "id": "13179467", "description_html": "Multi-step equations 1", "title": "Example 1: Variables on both sides", "progress_key": "v13179467", "edit_slug": "edit/v/13179467", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multi-step equations 1", "extra_properties": null, "node_slug": "v/multi-step-equations-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.m3u8/CGS0vihzSlc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGS0vihzSlc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179467", "sha": "5a7252c41cc974bd1920e8a455a22e3376112d21", "translated_description": "Multi-step equations 1", "image_url": "https://img.youtube.com/vi/CGS0vihzSlc/hqdefault.jpg", "youtube_id": "CGS0vihzSlc", "content_kind": "Video", "readable_id": "multi-step-equations-1"}, {"translated_youtube_id": "1c5HY3z4k8M", "relative_url": "/video/solving-equations-2", "has_questions": false, "keywords": "U02_L1_T1_we2, Solving, Equations, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-2", "duration": 246, "translated_title": "Example 2: Variables on both sides", "translated_description_html": "Solving Equations 2", "id": "26778", "description_html": "Solving Equations 2", "title": "Example 2: Variables on both sides", "progress_key": "v26778", "edit_slug": "edit/v/26778", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations 2", "extra_properties": null, "node_slug": "v/solving-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.m3u8/1c5HY3z4k8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1c5HY3z4k8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26778", "sha": "e5d55ba305d444b3d557ecfe517eb4013154307f", "translated_description": "Solving Equations 2", "image_url": "https://img.youtube.com/vi/1c5HY3z4k8M/hqdefault.jpg", "youtube_id": "1c5HY3z4k8M", "content_kind": "Video", "readable_id": "solving-equations-2"}, {"translated_youtube_id": "zKotuhQWIRg", "relative_url": "/video/equation-special-cases", "has_questions": false, "keywords": "u10_l1_t3_we1, Equation, Special, Cases, CC_6_EE_2, CC_6_EE_3, CC_6_EE_5", "ka_url": "http://www.khanacademy.org/video/equation-special-cases", "duration": 115, "translated_title": "Equation special cases", "translated_description_html": "Equation Special Cases", "id": "13179469", "description_html": "Equation Special Cases", "title": "Equation special cases", "progress_key": "v13179469", "edit_slug": "edit/v/13179469", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equation Special Cases", "extra_properties": null, "node_slug": "v/equation-special-cases", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.m3u8/zKotuhQWIRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zKotuhQWIRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179469", "sha": "5fe8bfd1388e93867b4a25275ca7815cbe556bb9", "translated_description": "Equation Special Cases", "image_url": "https://img.youtube.com/vi/zKotuhQWIRg/hqdefault.jpg", "youtube_id": "zKotuhQWIRg", "content_kind": "Video", "readable_id": "equation-special-cases"}, {"translated_youtube_id": "qsL_5Y8uWPU", "relative_url": "/video/number-of-solutions-to-linear-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations", "duration": 328, "translated_title": "Number of solutions to linear equations", "translated_description_html": "", "id": "x60d48e64", "description_html": "", "title": "Number of solutions to linear equations", "progress_key": "vx60d48e64", "edit_slug": "edit/v/x60d48e64", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.mp4/qsL_5Y8uWPU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.mp4/qsL_5Y8uWPU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qsL_5Y8uWPU.m3u8/qsL_5Y8uWPU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qsL_5Y8uWPU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx60d48e64", "sha": "99919c383cd91840dfcf8145c0e2207cc7690124", "translated_description": "", "image_url": "https://img.youtube.com/vi/qsL_5Y8uWPU/hqdefault.jpg", "youtube_id": "qsL_5Y8uWPU", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations"}, {"translated_youtube_id": "uQs100shv-A", "relative_url": "/video/number-of-solutions-to-linear-equations-ex-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations-ex-2", "duration": 83, "translated_title": "Number of solutions to linear equations ex 2", "translated_description_html": "", "id": "x62c9e8fa", "description_html": "", "title": "Number of solutions to linear equations ex 2", "progress_key": "vx62c9e8fa", "edit_slug": "edit/v/x62c9e8fa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations-ex-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.mp4/uQs100shv-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.mp4/uQs100shv-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uQs100shv-A.m3u8/uQs100shv-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uQs100shv-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx62c9e8fa", "sha": "65d85c3beb5372e934290ad78b25f28493b4d366", "translated_description": "", "image_url": "https://img.youtube.com/vi/uQs100shv-A/hqdefault.jpg", "youtube_id": "uQs100shv-A", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations-ex-2"}, {"translated_youtube_id": "Dq0xFgQB9qo", "relative_url": "/video/number-of-solutions-to-linear-equations-ex-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/number-of-solutions-to-linear-equations-ex-3", "duration": 100, "translated_title": "Number of solutions to linear equations ex 3", "translated_description_html": "", "id": "xdfacc6f3", "description_html": "", "title": "Number of solutions to linear equations ex 3", "progress_key": "vxdfacc6f3", "edit_slug": "edit/v/xdfacc6f3", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/number-of-solutions-to-linear-equations-ex-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-15T19:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.mp4/Dq0xFgQB9qo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.mp4/Dq0xFgQB9qo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dq0xFgQB9qo.m3u8/Dq0xFgQB9qo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dq0xFgQB9qo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdfacc6f3", "sha": "adaf76a17389e1936f3a1f947f6f33f95256078c", "translated_description": "", "image_url": "https://img.youtube.com/vi/Dq0xFgQB9qo/hqdefault.jpg", "youtube_id": "Dq0xFgQB9qo", "content_kind": "Video", "readable_id": "number-of-solutions-to-linear-equations-ex-3"}], "twitter_url": "", "translated_description": "You've been through \"Equation examples for beginners\" and are feeling good. Well, this tutorial continues that journey by addressing equations that are just a bit more fancy. By the end of this tutorial, you really will have some of the core algebraic tools in your toolkit!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've been through \"Equation examples for beginners\" and are feeling good. Well, this tutorial continues that journey by addressing equations that are just a bit more fancy. By the end of this tutorial, you really will have some of the core algebraic tools in your toolkit!", "x_pos": 0.0, "node_slug": "basic-equation-practice", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T14:41:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax312e9237", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", "slug": "basic-equation-practice", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c39ab2894475c3966f5f7270d075a4b2c264c9c6", "standalone_title": "Solving equations examples and practice", "y_pos": 0.0, "current_revision_key": "c39ab2894475c3966f5f7270d075a4b2c264c9c6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems", "translated_standalone_title": "Percent word problems", "translated_title": "Percent word problems", "gplus_url": "", "id": "x1b6757da", "old_key_name": "IAybdVOp9-rJgoEm_XlgXgaSy7baYZHBrWe57a7r", "hide": false, "title": "Percent word problems", "child_data": [{"kind": "Video", "id": 23458}, {"kind": "Video", "id": "x31086a98"}, {"kind": "Video", "id": "xd369a80b"}, {"kind": "Video", "id": 14}, {"kind": "Video", "id": 15}, {"kind": "Exercise", "id": 3012}, {"kind": "Exercise", "id": 2013}], "children": [{"translated_youtube_id": "d1oNF88SAgg", "relative_url": "/video/another-percent-word-problem", "has_questions": false, "keywords": "percent, word, problem, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/another-percent-word-problem", "duration": 378, "translated_title": "Another percent word problem", "translated_description_html": "Finding the full price when you know the discount price", "id": "23458", "description_html": "Finding the full price when you know the discount price", "title": "Another percent word problem", "progress_key": "v23458", "edit_slug": "edit/v/23458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the full price when you know the discount price", "extra_properties": null, "node_slug": "v/another-percent-word-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d1oNF88SAgg.mp4/d1oNF88SAgg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d1oNF88SAgg.mp4/d1oNF88SAgg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d1oNF88SAgg.m3u8/d1oNF88SAgg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d1oNF88SAgg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23458", "sha": "1558a72954994c9b1f2818faa885a6c31cd9fa3e", "translated_description": "Finding the full price when you know the discount price", "image_url": "https://img.youtube.com/vi/d1oNF88SAgg/hqdefault.jpg", "youtube_id": "d1oNF88SAgg", "content_kind": "Video", "readable_id": "another-percent-word-problem"}, {"translated_youtube_id": "AjYil74WrVo", "relative_url": "/video/percent-word-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/percent-word-problems", "duration": 169, "translated_title": "Percent word problems", "translated_description_html": "", "id": "x31086a98", "description_html": "", "title": "Percent word problems", "progress_key": "vx31086a98", "edit_slug": "edit/v/x31086a98", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/percent-word-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.mp4/AjYil74WrVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AjYil74WrVo.m3u8/AjYil74WrVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AjYil74WrVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31086a98", "sha": "1637728186bb11bfaa9a7a52913ed8c1777d996c", "translated_description": "", "image_url": "https://img.youtube.com/vi/AjYil74WrVo/hqdefault.jpg", "youtube_id": "AjYil74WrVo", "content_kind": "Video", "readable_id": "percent-word-problems"}, {"translated_youtube_id": "gKywkLHV6Ko", "relative_url": "/video/percent-word-problems-1-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/percent-word-problems-1-example-2", "duration": 209, "translated_title": "Percent word problems 1 example 2)", "translated_description_html": "", "id": "xd369a80b", "description_html": "", "title": "Percent word problems 1 example 2)", "progress_key": "vxd369a80b", "edit_slug": "edit/v/xd369a80b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/percent-word-problems-1-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gKywkLHV6Ko.mp4/gKywkLHV6Ko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gKywkLHV6Ko.mp4/gKywkLHV6Ko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gKywkLHV6Ko.m3u8/gKywkLHV6Ko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gKywkLHV6Ko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd369a80b", "sha": "c57e1863059ae82df505b7e915e3a82518259215", "translated_description": "", "image_url": "https://img.youtube.com/vi/gKywkLHV6Ko/hqdefault.jpg", "youtube_id": "gKywkLHV6Ko", "content_kind": "Video", "readable_id": "percent-word-problems-1-example-2"}, {"translated_youtube_id": "N4kDzoQOngY", "relative_url": "/video/solving-percent-problems-2", "has_questions": false, "keywords": "U05_L2_T1_we2, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-2", "duration": 277, "translated_title": "Solving percent problems 2", "translated_description_html": "Solving Percent Problems 2", "id": "14", "description_html": "Solving Percent Problems 2", "title": "Solving percent problems 2", "progress_key": "v14", "edit_slug": "edit/v/14", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 2", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.m3u8/N4kDzoQOngY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4kDzoQOngY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v14", "sha": "8ec2738e8a7080b286dba920ef2f1f1a04a81c8c", "translated_description": "Solving Percent Problems 2", "image_url": "https://img.youtube.com/vi/N4kDzoQOngY/hqdefault.jpg", "youtube_id": "N4kDzoQOngY", "content_kind": "Video", "readable_id": "solving-percent-problems-2"}, {"translated_youtube_id": "DAikW24_O0A", "relative_url": "/video/solving-percent-problems-3", "has_questions": false, "keywords": "U05_L2_T1_we3, Solving, Percent, Problems, CC_6_RP_3_c", "ka_url": "http://www.khanacademy.org/video/solving-percent-problems-3", "duration": 326, "translated_title": "Solving percent problems 3", "translated_description_html": "Solving Percent Problems 3", "id": "15", "description_html": "Solving Percent Problems 3", "title": "Solving percent problems 3", "progress_key": "v15", "edit_slug": "edit/v/15", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Percent Problems 3", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-percent-problems-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:39:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.m3u8/DAikW24_O0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DAikW24_O0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v15", "sha": "fb61126838d38b7c46ee76c5693e366966510750", "translated_description": "Solving Percent Problems 3", "image_url": "https://img.youtube.com/vi/DAikW24_O0A/hqdefault.jpg", "youtube_id": "DAikW24_O0A", "content_kind": "Video", "readable_id": "solving-percent-problems-3"}], "twitter_url": "", "translated_description": "I paid $5.00 for some tanning lotion (ok, I've never really bought tanning lotion) after a 35% discount. How can we find the full price?\n\nYou know how to take a percentage. In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "I paid $5.00 for some tanning lotion (ok, I've never really bought tanning lotion) after a 35% discount. How can we find the full price?\n\nYou know how to take a percentage. In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.", "x_pos": 0.0, "node_slug": "percent_word_problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:37:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1b6757da", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/percent_word_problems", "slug": "percent_word_problems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0e1b6859f3ffd0cfce4dcd85d77122c62a9d64e8", "standalone_title": "Percent word problems", "y_pos": 0.0, "current_revision_key": "0e1b6859f3ffd0cfce4dcd85d77122c62a9d64e8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable", "translated_standalone_title": "Solving for a variable", "translated_title": "Solving for a variable", "gplus_url": "", "id": "x4c548f84", "old_key_name": "mnodE4_cRrK8L8WlEA_B9ikrQu3iTFzX9GD74VGa", "hide": false, "title": "Solving for a variable", "child_data": [{"kind": "Video", "id": 13179472}, {"kind": "Video", "id": 124291556}, {"kind": "Video", "id": 26783}, {"kind": "Video", "id": 2402503}, {"kind": "Exercise", "id": 13179406}], "children": [{"translated_youtube_id": "eTSVTTg_QZ4", "relative_url": "/video/rearrange-formulas-to-isolate-specific-variables", "has_questions": false, "keywords": "u10_l1_t4_we2, Rearrange, formulas, to, isolate, specific, variables, CC_3_MD_5, CC_3_MD_7, CC_6_EE_2_c, CC_6_G_1, CC_39336_A-CED_4", "ka_url": "http://www.khanacademy.org/video/rearrange-formulas-to-isolate-specific-variables", "duration": 149, "translated_title": "Rearrange formulas to isolate specific variables", "translated_description_html": "Rearrange formulas to isolate specific variables", "id": "13179472", "description_html": "Rearrange formulas to isolate specific variables", "title": "Rearrange formulas to isolate specific variables", "progress_key": "v13179472", "edit_slug": "edit/v/13179472", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rearrange formulas to isolate specific variables", "extra_properties": null, "node_slug": "v/rearrange-formulas-to-isolate-specific-variables", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eTSVTTg_QZ4.mp4/eTSVTTg_QZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eTSVTTg_QZ4.mp4/eTSVTTg_QZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eTSVTTg_QZ4.m3u8/eTSVTTg_QZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eTSVTTg_QZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179472", "sha": "22e05f2f13b73b0eca62a0967f6add3e1c247846", "translated_description": "Rearrange formulas to isolate specific variables", "image_url": "https://img.youtube.com/vi/eTSVTTg_QZ4/hqdefault.jpg", "youtube_id": "eTSVTTg_QZ4", "content_kind": "Video", "readable_id": "rearrange-formulas-to-isolate-specific-variables"}, {"translated_youtube_id": "fnuIT7EhAvs", "relative_url": "/video/solving-for-a-variable", "has_questions": false, "keywords": "u15_l3_t1_we1, Solving, for, Variable, CC_6_EE_2_c", "ka_url": "http://www.khanacademy.org/video/solving-for-a-variable", "duration": 84, "translated_title": "Solving for a variable", "translated_description_html": "Solving for a Variable", "id": "124291556", "description_html": "Solving for a Variable", "title": "Solving for a variable", "progress_key": "v124291556", "edit_slug": "edit/v/124291556", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving for a Variable", "extra_properties": null, "node_slug": "v/solving-for-a-variable", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fnuIT7EhAvs.mp4/fnuIT7EhAvs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fnuIT7EhAvs.mp4/fnuIT7EhAvs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fnuIT7EhAvs.m3u8/fnuIT7EhAvs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fnuIT7EhAvs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291556", "sha": "c9947dfa011a73a7a8b0a9b906424c5e04e3e6c4", "translated_description": "Solving for a Variable", "image_url": "https://img.youtube.com/vi/fnuIT7EhAvs/hqdefault.jpg", "youtube_id": "fnuIT7EhAvs", "content_kind": "Video", "readable_id": "solving-for-a-variable"}, {"translated_youtube_id": "BR5yFOt0zao", "relative_url": "/video/solving-for-a-variable-2", "has_questions": false, "keywords": "U02_L1_T4_we2, Solving, for, Variable, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-for-a-variable-2", "duration": 161, "translated_title": "Solving for a variable 2", "translated_description_html": "Solving for a Variable 2", "id": "26783", "description_html": "Solving for a Variable 2", "title": "Solving for a variable 2", "progress_key": "v26783", "edit_slug": "edit/v/26783", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving for a Variable 2", "extra_properties": null, "node_slug": "v/solving-for-a-variable-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BR5yFOt0zao.mp4/BR5yFOt0zao.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BR5yFOt0zao.mp4/BR5yFOt0zao.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BR5yFOt0zao.m3u8/BR5yFOt0zao.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BR5yFOt0zao&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26783", "sha": "6e20d36c7cf38fc690947a77ee75c17766d50488", "translated_description": "Solving for a Variable 2", "image_url": "https://img.youtube.com/vi/BR5yFOt0zao/hqdefault.jpg", "youtube_id": "BR5yFOt0zao", "content_kind": "Video", "readable_id": "solving-for-a-variable-2"}, {"translated_youtube_id": "Aig1hkq3OsU", "relative_url": "/video/example-of-solving-for-a-variable", "has_questions": false, "keywords": "U02_L1_T4_we1, algebra, solving, variable, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/example-of-solving-for-a-variable", "duration": 418, "translated_title": "Example: Solving for a variable", "translated_description_html": "Example of solving for a variable", "id": "2402503", "description_html": "Example of solving for a variable", "title": "Example: Solving for a variable", "progress_key": "v2402503", "edit_slug": "edit/v/2402503", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving for a variable", "extra_properties": null, "node_slug": "v/example-of-solving-for-a-variable", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Aig1hkq3OsU.mp4/Aig1hkq3OsU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Aig1hkq3OsU.mp4/Aig1hkq3OsU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Aig1hkq3OsU.m3u8/Aig1hkq3OsU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Aig1hkq3OsU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2402503", "sha": "0bf6148ba47be6f17dd4e75abc27c06f293a142a", "translated_description": "Example of solving for a variable", "image_url": "https://img.youtube.com/vi/Aig1hkq3OsU/hqdefault.jpg", "youtube_id": "Aig1hkq3OsU", "content_kind": "Video", "readable_id": "example-of-solving-for-a-variable"}], "twitter_url": "", "translated_description": "You feel comfortable solving for an unknown. But life is all about stepping outside of your comfort zone--it's the only way you can grow! This tutorial takes solving equations to another level by making things a little more abstract. You will now solve for a variable, but it will be in terms of other variables. Don't worry, we think you'll find it quite therapeutic once you get the hang of it.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You feel comfortable solving for an unknown. But life is all about stepping outside of your comfort zone--it's the only way you can grow! This tutorial takes solving equations to another level by making things a little more abstract. You will now solve for a variable, but it will be in terms of other variables. Don't worry, we think you'll find it quite therapeutic once you get the hang of it.", "x_pos": 0.0, "node_slug": "solving_for_variable", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4c548f84", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/solving_for_variable", "slug": "solving_for_variable", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9649d446be72157ced7d8e4df76731d390b65eeb", "standalone_title": "Solving for a variable", "y_pos": 0.0, "current_revision_key": "9649d446be72157ced7d8e4df76731d390b65eeb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals", "translated_standalone_title": "Converting repeating decimals to fractions", "translated_title": "Converting repeating decimals to fractions", "gplus_url": "", "id": "x3735f44e", "old_key_name": "4hs1bU4_pZm9K-D13avJbCYp6F8alB_mtWoapcek", "hide": false, "title": "Converting repeating decimals to fractions", "child_data": [{"kind": "Video", "id": 351466917}, {"kind": "Exercise", "id": 310099745}, {"kind": "Video", "id": 351405953}, {"kind": "Exercise", "id": 310110453}], "children": [{"translated_youtube_id": "FPNhCVZlbJs", "relative_url": "/video/coverting-repeating-decimals-to-fractions-1", "has_questions": false, "keywords": "Coverting, Repeating, Decimals, to, Fractions, 1", "ka_url": "http://www.khanacademy.org/video/coverting-repeating-decimals-to-fractions-1", "duration": 243, "translated_title": "Converting repeating decimals to fractions 1", "translated_description_html": "Examples of how to convert basic repeating decimals to fractions", "id": "351466917", "description_html": "Examples of how to convert basic repeating decimals to fractions", "title": "Converting repeating decimals to fractions 1", "progress_key": "v351466917", "edit_slug": "edit/v/351466917", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Examples of how to convert basic repeating decimals to fractions", "extra_properties": null, "node_slug": "v/coverting-repeating-decimals-to-fractions-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-02T10:02:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FPNhCVZlbJs.mp4/FPNhCVZlbJs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FPNhCVZlbJs.mp4/FPNhCVZlbJs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FPNhCVZlbJs.m3u8/FPNhCVZlbJs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FPNhCVZlbJs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351466917", "sha": "8fd91e16ad09a0180aae617d06e850bb745282b6", "translated_description": "Examples of how to convert basic repeating decimals to fractions", "image_url": "https://img.youtube.com/vi/FPNhCVZlbJs/hqdefault.jpg", "youtube_id": "FPNhCVZlbJs", "content_kind": "Video", "readable_id": "coverting-repeating-decimals-to-fractions-1"}, {"translated_youtube_id": "Ihws0d-WLzU", "relative_url": "/video/coverting-repeating-decimals-to-fractions-2", "has_questions": false, "keywords": "Coverting, Repeating, Decimals, to, Fractions, 2", "ka_url": "http://www.khanacademy.org/video/coverting-repeating-decimals-to-fractions-2", "duration": 546, "translated_title": "Converting repeating decimals to fractions 2", "translated_description_html": "Converting more interesting repeating decimals to fractions", "id": "351405953", "description_html": "Converting more interesting repeating decimals to fractions", "title": "Converting repeating decimals to fractions 2", "progress_key": "v351405953", "edit_slug": "edit/v/351405953", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting more interesting repeating decimals to fractions", "extra_properties": null, "node_slug": "v/coverting-repeating-decimals-to-fractions-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-02T10:02:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ihws0d-WLzU.mp4/Ihws0d-WLzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ihws0d-WLzU.mp4/Ihws0d-WLzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ihws0d-WLzU.m3u8/Ihws0d-WLzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ihws0d-WLzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351405953", "sha": "7f0adbc691190b367a3420e99dd8dd563de611a9", "translated_description": "Converting more interesting repeating decimals to fractions", "image_url": "https://img.youtube.com/vi/Ihws0d-WLzU/hqdefault.jpg", "youtube_id": "Ihws0d-WLzU", "content_kind": "Video", "readable_id": "coverting-repeating-decimals-to-fractions-2"}], "twitter_url": "", "translated_description": "You know that converting a fraction into a decimal can sometimes result in a repeating decimal. For example: 2/3 = 0.666666..., and 1/7 = 0.142857142857... \n\nBut how do you convert a repeating decimal into a fraction? As we'll see in this tutorial, a little bit of algebra magic can do the trick!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know that converting a fraction into a decimal can sometimes result in a repeating decimal. For example: 2/3 = 0.666666..., and 1/7 = 0.142857142857... \n\nBut how do you convert a repeating decimal into a fraction? As we'll see in this tutorial, a little bit of algebra magic can do the trick!", "x_pos": 0.0, "node_slug": "conv_rep_decimals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T18:40:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3735f44e", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals", "slug": "conv_rep_decimals", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "83c8af43834f11c3e9d46fdbd5b738c7886f721a", "standalone_title": "Converting repeating decimals to fractions", "y_pos": 0.0, "current_revision_key": "83c8af43834f11c3e9d46fdbd5b738c7886f721a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut", "translated_standalone_title": "Age word problems", "translated_title": "Age word problems", "gplus_url": "", "id": "xd84a804f", "old_key_name": "MS81tmgZk8I-9bSgXk7e4nMpCzruOa6HK4PXvCey", "hide": false, "title": "Age word problems", "child_data": [{"kind": "Video", "id": 1242638298}, {"kind": "Video", "id": 1242705398}, {"kind": "Video", "id": 1242500916}, {"kind": "Exercise", "id": 2014}], "children": [{"translated_youtube_id": "W-5liMGKgHA", "relative_url": "/video/ex-1-age-word-problem", "has_questions": false, "keywords": "age word problems, linear equations", "ka_url": "http://www.khanacademy.org/video/ex-1-age-word-problem", "duration": 321, "translated_title": "Ex 1 age word problem", "translated_description_html": "Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?", "id": "1242638298", "description_html": "Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?", "title": "Ex 1 age word problem", "progress_key": "v1242638298", "edit_slug": "edit/v/1242638298", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?", "extra_properties": null, "node_slug": "v/ex-1-age-word-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-20T19:39:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.mp4/W-5liMGKgHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.mp4/W-5liMGKgHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.m3u8/W-5liMGKgHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W-5liMGKgHA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242638298", "sha": "f9d5518ad22f9870a685cc16308979730bb893f9", "translated_description": "Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?", "image_url": "https://img.youtube.com/vi/W-5liMGKgHA/hqdefault.jpg", "youtube_id": "W-5liMGKgHA", "content_kind": "Video", "readable_id": "ex-1-age-word-problem"}, {"translated_youtube_id": "KyHvVJWjW6Y", "relative_url": "/video/ex-2-age-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ex-2-age-word-problem", "duration": 223, "translated_title": "Ex 2 age word problem", "translated_description_html": "In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?", "id": "1242705398", "description_html": "In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?", "title": "Ex 2 age word problem", "progress_key": "v1242705398", "edit_slug": "edit/v/1242705398", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?", "extra_properties": null, "node_slug": "v/ex-2-age-word-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-20T19:39:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.mp4/KyHvVJWjW6Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.mp4/KyHvVJWjW6Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.m3u8/KyHvVJWjW6Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KyHvVJWjW6Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242705398", "sha": "08280c9fefbd06731f0c70db27fa655f66576b61", "translated_description": "In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?", "image_url": "https://img.youtube.com/vi/KyHvVJWjW6Y/hqdefault.jpg", "youtube_id": "KyHvVJWjW6Y", "content_kind": "Video", "readable_id": "ex-2-age-word-problem"}, {"translated_youtube_id": "RGbA2IyJILY", "relative_url": "/video/ex-3-age-word-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ex-3-age-word-problem", "duration": 388, "translated_title": "Ex 3 age word problem", "translated_description_html": "William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?", "id": "1242500916", "description_html": "William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?", "title": "Ex 3 age word problem", "progress_key": "v1242500916", "edit_slug": "edit/v/1242500916", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?", "extra_properties": null, "node_slug": "v/ex-3-age-word-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-20T19:40:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.mp4/RGbA2IyJILY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.mp4/RGbA2IyJILY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.m3u8/RGbA2IyJILY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RGbA2IyJILY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242500916", "sha": "01bde01539a1f376f12df0bc24f6629f6624740b", "translated_description": "William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?", "image_url": "https://img.youtube.com/vi/RGbA2IyJILY/hqdefault.jpg", "youtube_id": "RGbA2IyJILY", "content_kind": "Video", "readable_id": "ex-3-age-word-problem"}], "twitter_url": "", "translated_description": "In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much). How old is Sal today?\n\nThese classic questions have plagued philosophers through the ages. Actually, they haven't. But they have plagued algebra students! Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much). How old is Sal today?\n\nThese classic questions have plagued philosophers through the ages. Actually, they haven't. But they have plagued algebra students! Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.", "x_pos": 0.0, "node_slug": "age_word_problems_tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd84a804f", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut", "slug": "age_word_problems_tut", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "df6971f14b529e6677ecdbff2ef3d3f6d5e43ac7", "standalone_title": "Age word problems", "y_pos": 0.0, "current_revision_key": "df6971f14b529e6677ecdbff2ef3d3f6d5e43ac7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", "translated_standalone_title": "Absolute value equations", "translated_title": "Absolute value equations", "gplus_url": "", "id": "x7617ea51", "old_key_name": "HFYFE3kJyh9j7kWX94vvDkScUUmquA0Ac-8lg7pk", "hide": false, "title": "Absolute value equations", "child_data": [{"kind": "Video", "id": 23668}, {"kind": "Video", "id": 13179494}, {"kind": "Video", "id": 23580}, {"kind": "Video", "id": 2600586}, {"kind": "Video", "id": 26785}, {"kind": "Video", "id": "xe7acd9ae"}, {"kind": "Video", "id": "x492a306c"}, {"kind": "Exercise", "id": 23778129}, {"kind": "Video", "id": 4802220}, {"kind": "Video", "id": 26816}, {"kind": "Video", "id": 26817}, {"kind": "Video", "id": 26818}], "children": [{"translated_youtube_id": "u6zDpUL5RkU", "relative_url": "/video/absolute-value-equations", "has_questions": false, "keywords": "Absolute, Value, Equations", "ka_url": "http://www.khanacademy.org/video/absolute-value-equations", "duration": 641, "translated_title": "Absolute value equations", "translated_description_html": "Absolute Value Equations", "id": "23668", "description_html": "Absolute Value Equations", "title": "Absolute value equations", "progress_key": "v23668", "edit_slug": "edit/v/23668", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute Value Equations", "extra_properties": null, "node_slug": "v/absolute-value-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u6zDpUL5RkU.mp4/u6zDpUL5RkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u6zDpUL5RkU.mp4/u6zDpUL5RkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u6zDpUL5RkU.m3u8/u6zDpUL5RkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u6zDpUL5RkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23668", "sha": "396cf80336fa9d73435ac80d47c422b046b084ec", "translated_description": "Absolute Value Equations", "image_url": "https://img.youtube.com/vi/u6zDpUL5RkU/hqdefault.jpg", "youtube_id": "u6zDpUL5RkU", "content_kind": "Video", "readable_id": "absolute-value-equations"}, {"translated_youtube_id": "LRlVWC0FMQc", "relative_url": "/video/absolute-value-equations-example-1", "has_questions": false, "keywords": "u10_l3_t2_we1, Absolute, Value, Equations, CC_6_NS_7_c, CC_7_NS_1_c, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/absolute-value-equations-example-1", "duration": 203, "translated_title": "Absolute value equations example 1", "translated_description_html": "Absolute Value Equations", "id": "13179494", "description_html": "Absolute Value Equations", "title": "Absolute value equations example 1", "progress_key": "v13179494", "edit_slug": "edit/v/13179494", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Absolute Value Equations", "extra_properties": null, "node_slug": "v/absolute-value-equations-example-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LRlVWC0FMQc.mp4/LRlVWC0FMQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LRlVWC0FMQc.mp4/LRlVWC0FMQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LRlVWC0FMQc.m3u8/LRlVWC0FMQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LRlVWC0FMQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179494", "sha": "a825a7d66e4c2d21062bf2d894e96ec320a29aef", "translated_description": "Absolute Value Equations", "image_url": "https://img.youtube.com/vi/LRlVWC0FMQc/hqdefault.jpg", "youtube_id": "LRlVWC0FMQc", "content_kind": "Video", "readable_id": "absolute-value-equations-example-1"}, {"translated_youtube_id": "jaizi_1IB5c", "relative_url": "/video/absolute-value-equation-example-2", "has_questions": false, "keywords": "U02_L2_T2_we2, absolute, value, equation, CC_6_NS_7_c, CC_8_EE_7, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/absolute-value-equation-example-2", "duration": 392, "translated_title": "Absolute value equation example 2", "translated_description_html": "Example of solving an absolute value equation", "id": "23580", "description_html": "Example of solving an absolute value equation", "title": "Absolute value equation example 2", "progress_key": "v23580", "edit_slug": "edit/v/23580", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of solving an absolute value equation", "extra_properties": null, "node_slug": "v/absolute-value-equation-example-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jaizi_1IB5c.mp4/jaizi_1IB5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jaizi_1IB5c.mp4/jaizi_1IB5c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jaizi_1IB5c.m3u8/jaizi_1IB5c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jaizi_1IB5c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23580", "sha": "30cdcdaab6b804d599b5bbfd974aa89f95f70b90", "translated_description": "Example of solving an absolute value equation", "image_url": "https://img.youtube.com/vi/jaizi_1IB5c/hqdefault.jpg", "youtube_id": "jaizi_1IB5c", "content_kind": "Video", "readable_id": "absolute-value-equation-example-2"}, {"translated_youtube_id": "ZEml96_kyN4", "relative_url": "/video/u02-l2-t2-we1-absolute-value-equations-avi", "has_questions": false, "keywords": "U02, L2, T2, we1, Absolute, Value, Equations", "ka_url": "http://www.khanacademy.org/video/u02-l2-t2-we1-absolute-value-equations-avi", "duration": 107, "translated_title": "Absolute value equations", "translated_description_html": "Absolute Value Equations", "id": "2600586", "description_html": "Absolute Value Equations", "title": "Absolute value equations", "progress_key": "v2600586", "edit_slug": "edit/v/2600586", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Absolute Value Equations", "extra_properties": null, "node_slug": "v/u02-l2-t2-we1-absolute-value-equations-avi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZEml96_kyN4.mp4/ZEml96_kyN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZEml96_kyN4.mp4/ZEml96_kyN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZEml96_kyN4.m3u8/ZEml96_kyN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZEml96_kyN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600586", "sha": "e3bd0537794fdbb3cc55173706f881d9cdd3a9e5", "translated_description": "Absolute Value Equations", "image_url": "https://img.youtube.com/vi/ZEml96_kyN4/hqdefault.jpg", "youtube_id": "ZEml96_kyN4", "content_kind": "Video", "readable_id": "u02-l2-t2-we1-absolute-value-equations-avi"}, {"translated_youtube_id": "GwjiR2_7A7Y", "relative_url": "/video/absolute-value-equations-1", "has_questions": false, "keywords": "U02_L2_T2_we1, Absolute, Value, Equations, CC_6_NS_7_c, CC_8_EE_7, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/absolute-value-equations-1", "duration": 156, "translated_title": "Absolute value equations 1", "translated_description_html": "Absolute Value Equations 1", "id": "26785", "description_html": "Absolute Value Equations 1", "title": "Absolute value equations 1", "progress_key": "v26785", "edit_slug": "edit/v/26785", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute Value Equations 1", "extra_properties": null, "node_slug": "v/absolute-value-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GwjiR2_7A7Y.mp4/GwjiR2_7A7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GwjiR2_7A7Y.mp4/GwjiR2_7A7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GwjiR2_7A7Y.m3u8/GwjiR2_7A7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GwjiR2_7A7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26785", "sha": "ccaaec81a3139c14ddfcfe2ce7427bca990fc6fb", "translated_description": "Absolute Value Equations 1", "image_url": "https://img.youtube.com/vi/GwjiR2_7A7Y/hqdefault.jpg", "youtube_id": "GwjiR2_7A7Y", "content_kind": "Video", "readable_id": "absolute-value-equations-1"}, {"translated_youtube_id": "UvtWf4TVawE", "relative_url": "/video/absolute-value-equation-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/absolute-value-equation-example", "duration": 290, "translated_title": "Absolute value equation example", "translated_description_html": "", "id": "xe7acd9ae", "description_html": "", "title": "Absolute value equation example", "progress_key": "vxe7acd9ae", "edit_slug": "edit/v/xe7acd9ae", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/absolute-value-equation-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-14T22:38:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UvtWf4TVawE.mp4/UvtWf4TVawE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UvtWf4TVawE.mp4/UvtWf4TVawE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UvtWf4TVawE.m3u8/UvtWf4TVawE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UvtWf4TVawE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe7acd9ae", "sha": "283af97036ce7688eedf14442f3e3e4dc42c67bd", "translated_description": "", "image_url": "https://img.youtube.com/vi/UvtWf4TVawE/hqdefault.jpg", "youtube_id": "UvtWf4TVawE", "content_kind": "Video", "readable_id": "absolute-value-equation-example"}, {"translated_youtube_id": "15s6B7K9paA", "relative_url": "/video/absolute-value-equation-with-no-solution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/absolute-value-equation-with-no-solution", "duration": 230, "translated_title": "Absolute value equation with no solution", "translated_description_html": "", "id": "x492a306c", "description_html": "", "title": "Absolute value equation with no solution", "progress_key": "vx492a306c", "edit_slug": "edit/v/x492a306c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/absolute-value-equation-with-no-solution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T22:38:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/15s6B7K9paA.mp4/15s6B7K9paA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/15s6B7K9paA.mp4/15s6B7K9paA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/15s6B7K9paA.m3u8/15s6B7K9paA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=15s6B7K9paA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx492a306c", "sha": "61d71951f9269fd3098f88c68d6490fa4a2724bd", "translated_description": "", "image_url": "https://img.youtube.com/vi/15s6B7K9paA/hqdefault.jpg", "youtube_id": "15s6B7K9paA", "content_kind": "Video", "readable_id": "absolute-value-equation-with-no-solution"}, {"translated_youtube_id": "iI_2Piwn_og", "relative_url": "/video/absolute-value-inequalities", "has_questions": false, "keywords": "Absolute, Value, Inequalities", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities", "duration": 793, "translated_title": "Absolute value inequalities", "translated_description_html": "Absolute Value Inequalities", "id": "4802220", "description_html": "Absolute Value Inequalities", "title": "Absolute value inequalities", "progress_key": "v4802220", "edit_slug": "edit/v/4802220", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Absolute Value Inequalities", "extra_properties": null, "node_slug": "v/absolute-value-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.m3u8/iI_2Piwn_og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iI_2Piwn_og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802220", "sha": "8cb5b74de1c9bf72dd35c8528679af1a65eda64b", "translated_description": "Absolute Value Inequalities", "image_url": "https://img.youtube.com/vi/iI_2Piwn_og/hqdefault.jpg", "youtube_id": "iI_2Piwn_og", "content_kind": "Video", "readable_id": "absolute-value-inequalities"}, {"translated_youtube_id": "TvUCe6Bomy4", "relative_url": "/video/absolute-value-inequalities-example-1", "has_questions": false, "keywords": "U05_L1_T2_we1, Absolute, value, inequalities", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities-example-1", "duration": 207, "translated_title": "Absolute value inequalities example 1", "translated_description_html": "Absolute value inequalities, graph solution on number line", "id": "26816", "description_html": "Absolute value inequalities, graph solution on number line", "title": "Absolute value inequalities example 1", "progress_key": "v26816", "edit_slug": "edit/v/26816", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute value inequalities, graph solution on number line", "extra_properties": null, "node_slug": "v/absolute-value-inequalities-example-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.m3u8/TvUCe6Bomy4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TvUCe6Bomy4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26816", "sha": "7d994515f443447e97c052d29be4955a7d7666ed", "translated_description": "Absolute value inequalities, graph solution on number line", "image_url": "https://img.youtube.com/vi/TvUCe6Bomy4/hqdefault.jpg", "youtube_id": "TvUCe6Bomy4", "content_kind": "Video", "readable_id": "absolute-value-inequalities-example-1"}, {"translated_youtube_id": "x5EJG_rAtkY", "relative_url": "/video/absolute-inequalities-2", "has_questions": false, "keywords": "U05_L1_T2_we2, Absolute, Inequalities, CC_6_EE_8, CC_6_NS_7_a, CC_6_NS_7_c, CC_7_NS_1", "ka_url": "http://www.khanacademy.org/video/absolute-inequalities-2", "duration": 450, "translated_title": "Absolute inequalities 2", "translated_description_html": "Absolute Inequalities 2", "id": "26817", "description_html": "Absolute Inequalities 2", "title": "Absolute inequalities 2", "progress_key": "v26817", "edit_slug": "edit/v/26817", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute Inequalities 2", "extra_properties": null, "node_slug": "v/absolute-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x5EJG_rAtkY.mp4/x5EJG_rAtkY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x5EJG_rAtkY.mp4/x5EJG_rAtkY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x5EJG_rAtkY.m3u8/x5EJG_rAtkY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x5EJG_rAtkY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26817", "sha": "70111532389f46f145e459232f576033e3b8be5f", "translated_description": "Absolute Inequalities 2", "image_url": "https://img.youtube.com/vi/x5EJG_rAtkY/hqdefault.jpg", "youtube_id": "x5EJG_rAtkY", "content_kind": "Video", "readable_id": "absolute-inequalities-2"}, {"translated_youtube_id": "y9MGpOGQVqQ", "relative_url": "/video/absolute-value-inequalities-example-3", "has_questions": false, "keywords": "U05_L1_T2_we3, Absolute, value, inequalities, CC_6_EE_8, CC_6_NS_7_a, CC_6_NS_7_c, CC_7_NS_1, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities-example-3", "duration": 155, "translated_title": "Absolute value inequalities example 3", "translated_description_html": "Absolute value inequalities 3", "id": "26818", "description_html": "Absolute value inequalities 3", "title": "Absolute value inequalities example 3", "progress_key": "v26818", "edit_slug": "edit/v/26818", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute value inequalities 3", "extra_properties": null, "node_slug": "v/absolute-value-inequalities-example-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.m3u8/y9MGpOGQVqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y9MGpOGQVqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26818", "sha": "f7021f4285239d7dc5a61a59d73c69ce7b409656", "translated_description": "Absolute value inequalities 3", "image_url": "https://img.youtube.com/vi/y9MGpOGQVqQ/hqdefault.jpg", "youtube_id": "y9MGpOGQVqQ", "content_kind": "Video", "readable_id": "absolute-value-inequalities-example-3"}], "twitter_url": "", "translated_description": "You are absolutely tired of not knowing how to deal with equations that have absolute values in them. Well, this tutorial might help.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You are absolutely tired of not knowing how to deal with equations that have absolute values in them. Well, this tutorial might help.", "x_pos": 0.0, "node_slug": "absolute-value-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T22:42:30Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7617ea51", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", "slug": "absolute-value-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0585d14232f199fe83d9499261108660d10e3186", "standalone_title": "Absolute value equations", "y_pos": 0.0, "current_revision_key": "0585d14232f199fe83d9499261108660d10e3186", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations", "translated_standalone_title": "Simplifying complicated equations", "translated_title": "Simplifying complicated equations", "gplus_url": "", "id": "xba85841f", "old_key_name": "dAU4Cz06arTwf4fEZa2mYef9N9dtFlaDqNPI1ixP", "hide": false, "title": "Simplifying complicated equations", "child_data": [{"kind": "Video", "id": 1242815904}, {"kind": "Video", "id": 26779}, {"kind": "Video", "id": 26780}, {"kind": "Video", "id": 13179468}, {"kind": "Video", "id": 23618}, {"kind": "Video", "id": 23620}, {"kind": "Exercise", "id": 1106131470}], "children": [{"translated_youtube_id": "Z7C69xP08d8", "relative_url": "/video/ex-2-multi-step-equation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ex-2-multi-step-equation", "duration": 204, "translated_title": "Ex 2: Multi-step equation", "translated_description_html": "Turning a non-linear equation into a linear one.", "id": "1242815904", "description_html": "Turning a non-linear equation into a linear one.", "title": "Ex 2: Multi-step equation", "progress_key": "v1242815904", "edit_slug": "edit/v/1242815904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Turning a non-linear equation into a linear one.", "extra_properties": null, "node_slug": "v/ex-2-multi-step-equation", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-12-20T22:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.mp4/Z7C69xP08d8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.mp4/Z7C69xP08d8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z7C69xP08d8.m3u8/Z7C69xP08d8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z7C69xP08d8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242815904", "sha": "709ce5284255faf5f270888b7c551fb6c93117dc", "translated_description": "Turning a non-linear equation into a linear one.", "image_url": "https://img.youtube.com/vi/Z7C69xP08d8/hqdefault.jpg", "youtube_id": "Z7C69xP08d8", "content_kind": "Video", "readable_id": "ex-2-multi-step-equation"}, {"translated_youtube_id": "YZBStgZGyDY", "relative_url": "/video/solving-equations-with-the-distributive-property", "has_questions": false, "keywords": "U02_L1_T2_we1, Solving, Equations, with, the, Distributive, Property, CC_6_EE_3, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-with-the-distributive-property", "duration": 364, "translated_title": "Solving equations with the distributive property", "translated_description_html": "Solving Equations with the Distributive Property", "id": "26779", "description_html": "Solving Equations with the Distributive Property", "title": "Solving equations with the distributive property", "progress_key": "v26779", "edit_slug": "edit/v/26779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Equations with the Distributive Property", "extra_properties": null, "node_slug": "v/solving-equations-with-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.m3u8/YZBStgZGyDY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YZBStgZGyDY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26779", "sha": "b05970b997d24d944e10c65a2afb3a046d94c68e", "translated_description": "Solving Equations with the Distributive Property", "image_url": "https://img.youtube.com/vi/YZBStgZGyDY/hqdefault.jpg", "youtube_id": "YZBStgZGyDY", "content_kind": "Video", "readable_id": "solving-equations-with-the-distributive-property"}, {"translated_youtube_id": "PL9UYj2awDc", "relative_url": "/video/solving-equations-with-the-distributive-property-2", "has_questions": false, "keywords": "U02_L1_T2_we2:, Solving, equations, with, the, distributive, property, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-equations-with-the-distributive-property-2", "duration": 290, "translated_title": "Solving equations with the distributive property 2", "translated_description_html": "Solving equations with the distributive property 2", "id": "26780", "description_html": "Solving equations with the distributive property 2", "title": "Solving equations with the distributive property 2", "progress_key": "v26780", "edit_slug": "edit/v/26780", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving equations with the distributive property 2", "extra_properties": null, "node_slug": "v/solving-equations-with-the-distributive-property-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.m3u8/PL9UYj2awDc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PL9UYj2awDc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26780", "sha": "e7434b0e90c334544dae27bc90915ef203481a20", "translated_description": "Solving equations with the distributive property 2", "image_url": "https://img.youtube.com/vi/PL9UYj2awDc/hqdefault.jpg", "youtube_id": "PL9UYj2awDc", "content_kind": "Video", "readable_id": "solving-equations-with-the-distributive-property-2"}, {"translated_youtube_id": "CJyVct57-9s", "relative_url": "/video/multi-step-equations-2", "has_questions": false, "keywords": "u10_l1_t2_we2, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c, CC_6_EE_3, CC_8_EE_7_b", "ka_url": "http://www.khanacademy.org/video/multi-step-equations-2", "duration": 346, "translated_title": "Ex 2: Distributive property to simplify", "translated_description_html": "Multi-step equations 2", "id": "13179468", "description_html": "Multi-step equations 2", "title": "Ex 2: Distributive property to simplify", "progress_key": "v13179468", "edit_slug": "edit/v/13179468", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multi-step equations 2", "extra_properties": null, "node_slug": "v/multi-step-equations-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.m3u8/CJyVct57-9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CJyVct57-9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179468", "sha": "c0d8b116e7ab7ec02488494c69b8d8b801173e0d", "translated_description": "Multi-step equations 2", "image_url": "https://img.youtube.com/vi/CJyVct57-9s/hqdefault.jpg", "youtube_id": "CJyVct57-9s", "content_kind": "Video", "readable_id": "multi-step-equations-2"}, {"translated_youtube_id": "a5uNoOnEy_A", "relative_url": "/video/multi-step-equations", "has_questions": false, "keywords": "Multi, Step, Equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/multi-step-equations", "duration": 901, "translated_title": "Ex 1: Distributive property to simplify", "translated_description_html": "Multi-Step Equations", "id": "23618", "description_html": "Multi-Step Equations", "title": "Ex 1: Distributive property to simplify", "progress_key": "v23618", "edit_slug": "edit/v/23618", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multi-Step Equations", "extra_properties": null, "node_slug": "v/multi-step-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.mp4/a5uNoOnEy_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.mp4/a5uNoOnEy_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5uNoOnEy_A.m3u8/a5uNoOnEy_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5uNoOnEy_A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23618", "sha": "7db95bfd9ca231507464936e003ce993ee2537d4", "translated_description": "Multi-Step Equations", "image_url": "https://img.youtube.com/vi/a5uNoOnEy_A/hqdefault.jpg", "youtube_id": "a5uNoOnEy_A", "content_kind": "Video", "readable_id": "multi-step-equations"}, {"translated_youtube_id": "xMsG9hvqzbY", "relative_url": "/video/equations-with-variables-on-both-sides", "has_questions": false, "keywords": "Variables, On, Both, Sides, equations, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/equations-with-variables-on-both-sides", "duration": 568, "translated_title": "Ex 3: Distributive property to simplify", "translated_description_html": "Equations with Variables on Both Sides", "id": "23620", "description_html": "Equations with Variables on Both Sides", "title": "Ex 3: Distributive property to simplify", "progress_key": "v23620", "edit_slug": "edit/v/23620", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations with Variables on Both Sides", "extra_properties": null, "node_slug": "v/equations-with-variables-on-both-sides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.m3u8/xMsG9hvqzbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xMsG9hvqzbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23620", "sha": "556ff294e2f5a932689b6ce27304703e872460ca", "translated_description": "Equations with Variables on Both Sides", "image_url": "https://img.youtube.com/vi/xMsG9hvqzbY/hqdefault.jpg", "youtube_id": "xMsG9hvqzbY", "content_kind": "Video", "readable_id": "equations-with-variables-on-both-sides"}], "twitter_url": "", "translated_description": "You feel good about your rapidly developing equation-solving ability. Now you're ready to fully flex your brain. \n\nIn this tutorial, we'll explore equations that don't look so simple at first, but that, with a bit of skill, we can turn into equations that don't cause any stress! Have fun!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You feel good about your rapidly developing equation-solving ability. Now you're ready to fully flex your brain. \n\nIn this tutorial, we'll explore equations that don't look so simple at first, but that, with a bit of skill, we can turn into equations that don't cause any stress! Have fun!", "x_pos": 0.0, "node_slug": "complicated_equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T01:26:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axba85841f", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/complicated_equations", "slug": "complicated_equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bfb6a45c5cee8bfd00f6f8f2cb92f39e6db1c284", "standalone_title": "Simplifying complicated equations", "y_pos": 0.0, "current_revision_key": "bfb6a45c5cee8bfd00f6f8f2cb92f39e6db1c284", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars", "translated_standalone_title": "Evaluating expressions with unknown variables", "translated_title": "Evaluating expressions with unknown variables", "gplus_url": "", "id": "x4a2e0ef3", "old_key_name": "i215lygSxenrxOVZ6BEm10VVlg7iqleSripP-Dlh", "hide": false, "title": "Evaluating expressions with unknown variables", "child_data": [{"kind": "Video", "id": 1242712428}, {"kind": "Video", "id": 1242747382}, {"kind": "Exercise", "id": 23890541}, {"kind": "Exercise", "id": 23890542}], "children": [{"translated_youtube_id": "TIwGXn4NalM", "relative_url": "/video/evaluating-expressions-where-individual-variable-values-are-unknown", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-where-individual-variable-values-are-unknown", "duration": 279, "translated_title": "Evaluating expressions where individual variable values are unknown", "translated_description_html": "Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values", "id": "1242712428", "description_html": "Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values", "title": "Evaluating expressions where individual variable values are unknown", "progress_key": "v1242712428", "edit_slug": "edit/v/1242712428", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values", "extra_properties": null, "node_slug": "v/evaluating-expressions-where-individual-variable-values-are-unknown", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-20T19:57:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.mp4/TIwGXn4NalM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.mp4/TIwGXn4NalM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.m3u8/TIwGXn4NalM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TIwGXn4NalM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242712428", "sha": "eb1508fac7f74bd19171282d0c7fc113b6bac441", "translated_description": "Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values", "image_url": "https://img.youtube.com/vi/TIwGXn4NalM/hqdefault.jpg", "youtube_id": "TIwGXn4NalM", "content_kind": "Video", "readable_id": "evaluating-expressions-where-individual-variable-values-are-unknown"}, {"translated_youtube_id": "CLQRZ2UbQ4Q", "relative_url": "/video/evaluating-expressions-with-unknown-variables-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-expressions-with-unknown-variables-2", "duration": 180, "translated_title": "Evaluating expressions with unknown variables 2", "translated_description_html": "A few more examples where we are asked to evaluate an expression with multiple uknown variables", "id": "1242747382", "description_html": "A few more examples where we are asked to evaluate an expression with multiple uknown variables", "title": "Evaluating expressions with unknown variables 2", "progress_key": "v1242747382", "edit_slug": "edit/v/1242747382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A few more examples where we are asked to evaluate an expression with multiple uknown variables", "extra_properties": null, "node_slug": "v/evaluating-expressions-with-unknown-variables-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-20T20:15:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLQRZ2UbQ4Q.mp4/CLQRZ2UbQ4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLQRZ2UbQ4Q.mp4/CLQRZ2UbQ4Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLQRZ2UbQ4Q.m3u8/CLQRZ2UbQ4Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLQRZ2UbQ4Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242747382", "sha": "219dd5bbe7cccc0729697607b52f8caeaa9ddb22", "translated_description": "A few more examples where we are asked to evaluate an expression with multiple uknown variables", "image_url": "https://img.youtube.com/vi/CLQRZ2UbQ4Q/hqdefault.jpg", "youtube_id": "CLQRZ2UbQ4Q", "content_kind": "Video", "readable_id": "evaluating-expressions-with-unknown-variables-2"}], "twitter_url": "", "translated_description": "When solving equations, there is a natural hunger to figure out what an unknown is equal to. This is especially the case if we want to evaluate an expression that the unknown is part of. This tutorial exposes us to a class of solvable problems that challenges this hunger and forces us to be the thinking human beings that we are!\n\nIn case you're curious, these types of problems are known to show up on standardized exams to see if you are really a thinking human (as opposed to a robot possum).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When solving equations, there is a natural hunger to figure out what an unknown is equal to. This is especially the case if we want to evaluate an expression that the unknown is part of. This tutorial exposes us to a class of solvable problems that challenges this hunger and forces us to be the thinking human beings that we are!\n\nIn case you're curious, these types of problems are known to show up on standardized exams to see if you are really a thinking human (as opposed to a robot possum).", "x_pos": 0.0, "node_slug": "exp_unknown_vars", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4a2e0ef3", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars", "slug": "exp_unknown_vars", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "abffb81007ccfe26c20b188b783abbb5fa98218c", "standalone_title": "Evaluating expressions with unknown variables", "y_pos": 0.0, "current_revision_key": "abffb81007ccfe26c20b188b783abbb5fa98218c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", "translated_standalone_title": "More equation practice", "translated_title": "More equation practice", "gplus_url": "", "id": "x9151b4f6", "old_key_name": "BTnTQzeYzKc1jqRzTcPgPU1rDcuCapSoorrqwjSj", "hide": false, "title": "More equation practice", "child_data": [{"kind": "Video", "id": 26888}, {"kind": "Video", "id": 26795}, {"kind": "Video", "id": 23564}, {"kind": "Video", "id": 26786}, {"kind": "Video", "id": 26787}, {"kind": "Video", "id": 26788}, {"kind": "Video", "id": 26789}, {"kind": "Video", "id": 26782}, {"kind": "Video", "id": 23452}, {"kind": "Exercise", "id": 1425079754}, {"kind": "Video", "id": 8187421}, {"kind": "Video", "id": 23586}, {"kind": "Video", "id": 26889}], "children": [{"translated_youtube_id": "OBVGQt1Eeug", "relative_url": "/video/mixture-problems-2", "has_questions": false, "keywords": "U06_L2_T2_we2, Mixture, problems, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_2_c, CC_7_RP_3, CC_39336_A-CED_2, CC_39336_A-REI_1", "ka_url": "http://www.khanacademy.org/video/mixture-problems-2", "duration": 403, "translated_title": "Mixture problems 2", "translated_description_html": "Mixture problems 2", "id": "26888", "description_html": "Mixture problems 2", "title": "Mixture problems 2", "progress_key": "v26888", "edit_slug": "edit/v/26888", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mixture problems 2", "extra_properties": null, "node_slug": "v/mixture-problems-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OBVGQt1Eeug.mp4/OBVGQt1Eeug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OBVGQt1Eeug.mp4/OBVGQt1Eeug.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OBVGQt1Eeug.m3u8/OBVGQt1Eeug.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OBVGQt1Eeug&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26888", "sha": "f49234ff62ba48918578622032f0272c04f925df", "translated_description": "Mixture problems 2", "image_url": "https://img.youtube.com/vi/OBVGQt1Eeug/hqdefault.jpg", "youtube_id": "OBVGQt1Eeug", "content_kind": "Video", "readable_id": "mixture-problems-2"}, {"translated_youtube_id": "7WXijfIZh64", "relative_url": "/video/basic-rate-problem", "has_questions": false, "keywords": "U03_L2_T3_we2, Basic, Rate, Problem, CC_7_EE_3, CC_7_RP_1, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/basic-rate-problem", "duration": 248, "translated_title": "Basic rate problem", "translated_description_html": "Basic Rate Problem", "id": "26795", "description_html": "Basic Rate Problem", "title": "Basic rate problem", "progress_key": "v26795", "edit_slug": "edit/v/26795", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic Rate Problem", "extra_properties": null, "node_slug": "v/basic-rate-problem", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7WXijfIZh64.mp4/7WXijfIZh64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7WXijfIZh64.mp4/7WXijfIZh64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7WXijfIZh64.m3u8/7WXijfIZh64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7WXijfIZh64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26795", "sha": "6520ee7f4f5e7b17ff5283c444da593c4c9bfbbe", "translated_description": "Basic Rate Problem", "image_url": "https://img.youtube.com/vi/7WXijfIZh64/hqdefault.jpg", "youtube_id": "7WXijfIZh64", "content_kind": "Video", "readable_id": "basic-rate-problem"}, {"translated_youtube_id": "uA3m8vbd2wc", "relative_url": "/video/early-train-word-problem", "has_questions": false, "keywords": "algebra, word, problem, brain, teaser", "ka_url": "http://www.khanacademy.org/video/early-train-word-problem", "duration": 427, "translated_title": "Early train word problem", "translated_description_html": "Fun word problem that is almost a brain teaser.", "id": "23564", "description_html": "Fun word problem that is almost a brain teaser.", "title": "Early train word problem", "progress_key": "v23564", "edit_slug": "edit/v/23564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fun word problem that is almost a brain teaser.", "extra_properties": null, "node_slug": "v/early-train-word-problem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uA3m8vbd2wc.mp4/uA3m8vbd2wc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uA3m8vbd2wc.mp4/uA3m8vbd2wc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uA3m8vbd2wc.m3u8/uA3m8vbd2wc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uA3m8vbd2wc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23564", "sha": "f2707607efec02e2e6b831fd6e6e79843be38ea3", "translated_description": "Fun word problem that is almost a brain teaser.", "image_url": "https://img.youtube.com/vi/uA3m8vbd2wc/hqdefault.jpg", "youtube_id": "uA3m8vbd2wc", "content_kind": "Video", "readable_id": "early-train-word-problem"}, {"translated_youtube_id": "Zj-a_9cd5jc", "relative_url": "/video/patterns-in-sequences-1", "has_questions": false, "keywords": "U03_L1_T1_we1, Patterns, in, Sequences, CC_5_OA_3, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/patterns-in-sequences-1", "duration": 152, "translated_title": "Patterns in sequences 1", "translated_description_html": "Patterns in Sequences 1", "id": "26786", "description_html": "Patterns in Sequences 1", "title": "Patterns in sequences 1", "progress_key": "v26786", "edit_slug": "edit/v/26786", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Patterns in Sequences 1", "extra_properties": null, "node_slug": "v/patterns-in-sequences-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zj-a_9cd5jc.mp4/Zj-a_9cd5jc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zj-a_9cd5jc.mp4/Zj-a_9cd5jc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zj-a_9cd5jc.m3u8/Zj-a_9cd5jc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zj-a_9cd5jc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26786", "sha": "98c52ed581327fa6774b4641377864380ced5e94", "translated_description": "Patterns in Sequences 1", "image_url": "https://img.youtube.com/vi/Zj-a_9cd5jc/hqdefault.jpg", "youtube_id": "Zj-a_9cd5jc", "content_kind": "Video", "readable_id": "patterns-in-sequences-1"}, {"translated_youtube_id": "zIcxrhyJs6M", "relative_url": "/video/patterns-in-sequences-2", "has_questions": false, "keywords": "U03_L1_T1_we2, Patterns, in, Sequences, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/patterns-in-sequences-2", "duration": 294, "translated_title": "Patterns in sequences 2", "translated_description_html": "Patterns in Sequences 2", "id": "26787", "description_html": "Patterns in Sequences 2", "title": "Patterns in sequences 2", "progress_key": "v26787", "edit_slug": "edit/v/26787", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Patterns in Sequences 2", "extra_properties": null, "node_slug": "v/patterns-in-sequences-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zIcxrhyJs6M.mp4/zIcxrhyJs6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zIcxrhyJs6M.mp4/zIcxrhyJs6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zIcxrhyJs6M.m3u8/zIcxrhyJs6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zIcxrhyJs6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26787", "sha": "50521927cc2311d4b79cc6f8414c2a9f50061b13", "translated_description": "Patterns in Sequences 2", "image_url": "https://img.youtube.com/vi/zIcxrhyJs6M/hqdefault.jpg", "youtube_id": "zIcxrhyJs6M", "content_kind": "Video", "readable_id": "patterns-in-sequences-2"}, {"translated_youtube_id": "_3BnyEr5fG4", "relative_url": "/video/equations-of-sequence-patterns", "has_questions": false, "keywords": "U03_L1_T2_we1, Equations, of, Sequence, Patterns, CC_6_EE_5, CC_6_EE_6, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/equations-of-sequence-patterns", "duration": 516, "translated_title": "Equations of sequence patterns", "translated_description_html": "Equations of Sequence Patterns", "id": "26788", "description_html": "Equations of Sequence Patterns", "title": "Equations of sequence patterns", "progress_key": "v26788", "edit_slug": "edit/v/26788", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations of Sequence Patterns", "extra_properties": null, "node_slug": "v/equations-of-sequence-patterns", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.mp4/_3BnyEr5fG4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.mp4/_3BnyEr5fG4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.m3u8/_3BnyEr5fG4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_3BnyEr5fG4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26788", "sha": "ae159f74351d6b360f6401a0332faf7ff100c055", "translated_description": "Equations of Sequence Patterns", "image_url": "https://img.youtube.com/vi/_3BnyEr5fG4/hqdefault.jpg", "youtube_id": "_3BnyEr5fG4", "content_kind": "Video", "readable_id": "equations-of-sequence-patterns"}, {"translated_youtube_id": "JtsyP0tnVRY", "relative_url": "/video/finding-the-100th-term-in-a-sequence", "has_questions": false, "keywords": "U03_L1_T2_we2, Finding, the, 100th, Term, in, Sequence, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/finding-the-100th-term-in-a-sequence", "duration": 357, "translated_title": "Finding the 100th term in a sequence", "translated_description_html": "Finding the 100th Term in a Sequence", "id": "26789", "description_html": "Finding the 100th Term in a Sequence", "title": "Finding the 100th term in a sequence", "progress_key": "v26789", "edit_slug": "edit/v/26789", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the 100th Term in a Sequence", "extra_properties": null, "node_slug": "v/finding-the-100th-term-in-a-sequence", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.m3u8/JtsyP0tnVRY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JtsyP0tnVRY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26789", "sha": "5ea19ef666efef18bb5fbc8cbe522cc6d79332f2", "translated_description": "Finding the 100th Term in a Sequence", "image_url": "https://img.youtube.com/vi/JtsyP0tnVRY/hqdefault.jpg", "youtube_id": "JtsyP0tnVRY", "content_kind": "Video", "readable_id": "finding-the-100th-term-in-a-sequence"}, {"translated_youtube_id": "d8De3xcVmnw", "relative_url": "/video/sum-of-consecutive-odd-integers", "has_questions": false, "keywords": "U02_L1_T3_we2, algebra, sum, of, integers, CC_6_EE_6, CC_39336_A-REI_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/sum-of-consecutive-odd-integers", "duration": 273, "translated_title": "Challenge example: Sum of integers", "translated_description_html": "Sum of Consecutive Odd Integers", "id": "26782", "description_html": "Sum of Consecutive Odd Integers", "title": "Challenge example: Sum of integers", "progress_key": "v26782", "edit_slug": "edit/v/26782", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sum of Consecutive Odd Integers", "extra_properties": null, "node_slug": "v/sum-of-consecutive-odd-integers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.mp4/d8De3xcVmnw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.mp4/d8De3xcVmnw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.m3u8/d8De3xcVmnw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d8De3xcVmnw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26782", "sha": "ed1c7fb3c897ff8eff8b53539cb8654ea5d644ec", "translated_description": "Sum of Consecutive Odd Integers", "image_url": "https://img.youtube.com/vi/d8De3xcVmnw/hqdefault.jpg", "youtube_id": "d8De3xcVmnw", "content_kind": "Video", "readable_id": "sum-of-consecutive-odd-integers"}, {"translated_youtube_id": "W254ewkkMck", "relative_url": "/video/integer-sums", "has_questions": false, "keywords": "Algebra, sums, integers, even, odd, khan, academy", "ka_url": "http://www.khanacademy.org/video/integer-sums", "duration": 595, "translated_title": "Integer sums", "translated_description_html": "Adding sums of consecutive integers", "id": "23452", "description_html": "Adding sums of consecutive integers", "title": "Integer sums", "progress_key": "v23452", "edit_slug": "edit/v/23452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding sums of consecutive integers", "extra_properties": null, "node_slug": "v/integer-sums", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W254ewkkMck.mp4/W254ewkkMck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W254ewkkMck.mp4/W254ewkkMck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W254ewkkMck.m3u8/W254ewkkMck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W254ewkkMck&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23452", "sha": "c5df4011ff713ba97078f3adf9adacabfd82e3b7", "translated_description": "Adding sums of consecutive integers", "image_url": "https://img.youtube.com/vi/W254ewkkMck/hqdefault.jpg", "youtube_id": "W254ewkkMck", "content_kind": "Video", "readable_id": "integer-sums"}, {"translated_youtube_id": "JPQ8cfOsYxo", "relative_url": "/video/2003-aime-ii-problem-1", "has_questions": false, "keywords": "2003, AIME, II, Problem, greatest, integer, divisibility", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-1", "duration": 368, "translated_title": "2003 AIME II problem 1", "translated_description_html": "2003 AIME II Problem 1", "id": "8187421", "description_html": "2003 AIME II Problem 1", "title": "2003 AIME II problem 1", "progress_key": "v8187421", "edit_slug": "edit/v/8187421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2003 AIME II Problem 1", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.mp4/JPQ8cfOsYxo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.mp4/JPQ8cfOsYxo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.m3u8/JPQ8cfOsYxo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JPQ8cfOsYxo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187421", "sha": "daef541997362b73883c9e96b9ee9d90ab88cae6", "translated_description": "2003 AIME II Problem 1", "image_url": "https://img.youtube.com/vi/JPQ8cfOsYxo/hqdefault.jpg", "youtube_id": "JPQ8cfOsYxo", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-1"}, {"translated_youtube_id": "rUT0pa87m7E", "relative_url": "/video/patterns-and-equations", "has_questions": false, "keywords": "Patterns, And, Equations, CC_7_EE_4, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/patterns-and-equations", "duration": 798, "translated_title": "Bunch of examples", "translated_description_html": null, "id": "23586", "description_html": null, "title": "Bunch of examples", "progress_key": "v23586", "edit_slug": "edit/v/23586", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/patterns-and-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rUT0pa87m7E.mp4/rUT0pa87m7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rUT0pa87m7E.mp4/rUT0pa87m7E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rUT0pa87m7E.m3u8/rUT0pa87m7E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rUT0pa87m7E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23586", "sha": "7cb488801c850991c89b431afa2b5af4f9ed126d", "translated_description": null, "image_url": "https://img.youtube.com/vi/rUT0pa87m7E/hqdefault.jpg", "youtube_id": "rUT0pa87m7E", "content_kind": "Video", "readable_id": "patterns-and-equations"}, {"translated_youtube_id": "JVlfQEhzLMM", "relative_url": "/video/mixture-problems-3", "has_questions": false, "keywords": "U06_L2_T2_we3, Mixture, problems, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_2_c, CC_7_RP_3, CC_39336_A-CED_2, CC_39336_A-REI_1", "ka_url": "http://www.khanacademy.org/video/mixture-problems-3", "duration": 247, "translated_title": "Mixture problems 3", "translated_description_html": "Mixture problems 3", "id": "26889", "description_html": "Mixture problems 3", "title": "Mixture problems 3", "progress_key": "v26889", "edit_slug": "edit/v/26889", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mixture problems 3", "extra_properties": null, "node_slug": "v/mixture-problems-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVlfQEhzLMM.mp4/JVlfQEhzLMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVlfQEhzLMM.mp4/JVlfQEhzLMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVlfQEhzLMM.m3u8/JVlfQEhzLMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVlfQEhzLMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26889", "sha": "03e2498aa8f58c91e25fb6f1632901e3091abc1c", "translated_description": "Mixture problems 3", "image_url": "https://img.youtube.com/vi/JVlfQEhzLMM/hqdefault.jpg", "youtube_id": "JVlfQEhzLMM", "content_kind": "Video", "readable_id": "mixture-problems-3"}], "twitter_url": "", "translated_description": "This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.", "x_pos": 0.0, "node_slug": "More-equation-practice", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T00:13:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9151b4f6", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", "slug": "More-equation-practice", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4c17945fcfe4972c59230a0a6c4ff665acdda0ef", "standalone_title": "More equation practice", "y_pos": 0.0, "current_revision_key": "4c17945fcfe4972c59230a0a6c4ff665acdda0ef", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations", "translated_standalone_title": "Old school equations with Sal", "translated_title": "Old school equations with Sal", "gplus_url": "", "id": "x6d96ae72", "old_key_name": "lFzJpe9pIlls_JKBQZdwHq4_xXdgOIgfEOD6WlmK", "hide": false, "title": "Old school equations with Sal", "child_data": [{"kind": "Video", "id": 4802219}, {"kind": "Video", "id": 23426}, {"kind": "Video", "id": 23428}, {"kind": "Video", "id": 23430}, {"kind": "Video", "id": 23432}, {"kind": "Video", "id": 23450}, {"kind": "Video", "id": 23454}, {"kind": "Video", "id": 23456}, {"kind": "Video", "id": 23460}, {"kind": "Video", "id": 23476}, {"kind": "Video", "id": 23478}, {"kind": "Video", "id": 23480}], "children": [{"translated_youtube_id": "3Po3nfITsok", "relative_url": "/video/order-of-operations-example", "has_questions": false, "keywords": "Order, Of, Operations", "ka_url": "http://www.khanacademy.org/video/order-of-operations-example", "duration": 863, "translated_title": "Order of operations examples", "translated_description_html": "Evaluating expressions using order of operations", "id": "4802219", "description_html": "Evaluating expressions using order of operations", "title": "Order of operations examples", "progress_key": "v4802219", "edit_slug": "edit/v/4802219", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Evaluating expressions using order of operations", "extra_properties": null, "node_slug": "v/order-of-operations-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.mp4/3Po3nfITsok.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.mp4/3Po3nfITsok.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.m3u8/3Po3nfITsok.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Po3nfITsok&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802219", "sha": "47a6ea6bee235cfa80300ebec5f3e47729281353", "translated_description": "Evaluating expressions using order of operations", "image_url": "https://img.youtube.com/vi/3Po3nfITsok/hqdefault.jpg", "youtube_id": "3Po3nfITsok", "content_kind": "Video", "readable_id": "order-of-operations-example"}, {"translated_youtube_id": "bAerID24QJ0", "relative_url": "/video/algebra--linear-equations-1", "has_questions": false, "keywords": "algebra", "ka_url": "http://www.khanacademy.org/video/algebra--linear-equations-1", "duration": 447, "translated_title": "Algebra: Linear equations 1", "translated_description_html": "equations of the form AX=B", "id": "23426", "description_html": "equations of the form AX=B", "title": "Algebra: Linear equations 1", "progress_key": "v23426", "edit_slug": "edit/v/23426", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "equations of the form AX=B", "extra_properties": null, "node_slug": "v/algebra--linear-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bAerID24QJ0.mp4/bAerID24QJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bAerID24QJ0.mp4/bAerID24QJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bAerID24QJ0.m3u8/bAerID24QJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bAerID24QJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23426", "sha": "4f8441d02ba8accc6dae96755a0147be1934b452", "translated_description": "equations of the form AX=B", "image_url": "https://img.youtube.com/vi/bAerID24QJ0/hqdefault.jpg", "youtube_id": "bAerID24QJ0", "content_kind": "Video", "readable_id": "algebra--linear-equations-1"}, {"translated_youtube_id": "DopnmxeMt-s", "relative_url": "/video/algebra--linear-equations-2", "has_questions": false, "keywords": "Algebra", "ka_url": "http://www.khanacademy.org/video/algebra--linear-equations-2", "duration": 365, "translated_title": "Algebra: Linear equations 2", "translated_description_html": "solving equations of the form AX+B=C", "id": "23428", "description_html": "solving equations of the form AX+B=C", "title": "Algebra: Linear equations 2", "progress_key": "v23428", "edit_slug": "edit/v/23428", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "solving equations of the form AX+B=C", "extra_properties": null, "node_slug": "v/algebra--linear-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DopnmxeMt-s.mp4/DopnmxeMt-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DopnmxeMt-s.mp4/DopnmxeMt-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DopnmxeMt-s.m3u8/DopnmxeMt-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DopnmxeMt-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23428", "sha": "86a1ab376cef8dad4be5298658c2051b7bb3f919", "translated_description": "solving equations of the form AX+B=C", "image_url": "https://img.youtube.com/vi/DopnmxeMt-s/hqdefault.jpg", "youtube_id": "DopnmxeMt-s", "content_kind": "Video", "readable_id": "algebra--linear-equations-2"}, {"translated_youtube_id": "Zn-GbH2S0Dk", "relative_url": "/video/algebra--linear-equations-3", "has_questions": false, "keywords": "algebra", "ka_url": "http://www.khanacademy.org/video/algebra--linear-equations-3", "duration": 403, "translated_title": "Algebra: Linear equations 3", "translated_description_html": "Linear equations with multiple variable and constant terms", "id": "23430", "description_html": "Linear equations with multiple variable and constant terms", "title": "Algebra: Linear equations 3", "progress_key": "v23430", "edit_slug": "edit/v/23430", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear equations with multiple variable and constant terms", "extra_properties": null, "node_slug": "v/algebra--linear-equations-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zn-GbH2S0Dk.mp4/Zn-GbH2S0Dk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zn-GbH2S0Dk.mp4/Zn-GbH2S0Dk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zn-GbH2S0Dk.m3u8/Zn-GbH2S0Dk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zn-GbH2S0Dk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23430", "sha": "80875917f5195e1d512efaa0365a7d79db96df38", "translated_description": "Linear equations with multiple variable and constant terms", "image_url": "https://img.youtube.com/vi/Zn-GbH2S0Dk/hqdefault.jpg", "youtube_id": "Zn-GbH2S0Dk", "content_kind": "Video", "readable_id": "algebra--linear-equations-3"}, {"translated_youtube_id": "9IUEk9fn2Vs", "relative_url": "/video/algebra--linear-equations-4", "has_questions": false, "keywords": "algebra, CC_7_EE_1, CC_8_EE_7_b", "ka_url": "http://www.khanacademy.org/video/algebra--linear-equations-4", "duration": 458, "translated_title": "Algebra: Linear equations 4", "translated_description_html": "Solving linear equations with variable expressions in the denominators of fractions", "id": "23432", "description_html": "Solving linear equations with variable expressions in the denominators of fractions", "title": "Algebra: Linear equations 4", "progress_key": "v23432", "edit_slug": "edit/v/23432", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving linear equations with variable expressions in the denominators of fractions", "extra_properties": null, "node_slug": "v/algebra--linear-equations-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9IUEk9fn2Vs.mp4/9IUEk9fn2Vs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9IUEk9fn2Vs.mp4/9IUEk9fn2Vs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9IUEk9fn2Vs.m3u8/9IUEk9fn2Vs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9IUEk9fn2Vs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23432", "sha": "3928aacd6749f72b75cf82b35db8a28a68c99217", "translated_description": "Solving linear equations with variable expressions in the denominators of fractions", "image_url": "https://img.youtube.com/vi/9IUEk9fn2Vs/hqdefault.jpg", "youtube_id": "9IUEk9fn2Vs", "content_kind": "Video", "readable_id": "algebra--linear-equations-4"}, {"translated_youtube_id": "9VZsMY15xeU", "relative_url": "/video/averages", "has_questions": false, "keywords": "Math, Khan, Average, Algebra, CC_6_EE_6", "ka_url": "http://www.khanacademy.org/video/averages", "duration": 516, "translated_title": "Averages", "translated_description_html": "Introduction to averages and algebra problems involving averages.", "id": "23450", "description_html": "Introduction to averages and algebra problems involving averages.", "title": "Averages", "progress_key": "v23450", "edit_slug": "edit/v/23450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to averages and algebra problems involving averages.", "extra_properties": null, "node_slug": "v/averages", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9VZsMY15xeU.mp4/9VZsMY15xeU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9VZsMY15xeU.mp4/9VZsMY15xeU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9VZsMY15xeU.m3u8/9VZsMY15xeU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9VZsMY15xeU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23450", "sha": "45b6a5d2b61ba8447a972c5f83b2ae87f1b5028f", "translated_description": "Introduction to averages and algebra problems involving averages.", "image_url": "https://img.youtube.com/vi/9VZsMY15xeU/hqdefault.jpg", "youtube_id": "9VZsMY15xeU", "content_kind": "Video", "readable_id": "averages"}, {"translated_youtube_id": "_SpE4hQ8D_o", "relative_url": "/video/taking-percentages", "has_questions": false, "keywords": "Percent, math, algebra, khan, CC_6_RP_3_c, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/taking-percentages", "duration": 594, "translated_title": "Taking percentages", "translated_description_html": "Taking a percentage of a number.", "id": "23454", "description_html": "Taking a percentage of a number.", "title": "Taking percentages", "progress_key": "v23454", "edit_slug": "edit/v/23454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking a percentage of a number.", "extra_properties": null, "node_slug": "v/taking-percentages", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_SpE4hQ8D_o.mp4/_SpE4hQ8D_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_SpE4hQ8D_o.mp4/_SpE4hQ8D_o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_SpE4hQ8D_o.m3u8/_SpE4hQ8D_o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_SpE4hQ8D_o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23454", "sha": "73b7f6413414e206527ed2607d5b717e01b69d0e", "translated_description": "Taking a percentage of a number.", "image_url": "https://img.youtube.com/vi/_SpE4hQ8D_o/hqdefault.jpg", "youtube_id": "_SpE4hQ8D_o", "content_kind": "Video", "readable_id": "taking-percentages"}, {"translated_youtube_id": "X2jVap1YgwI", "relative_url": "/video/growing-by-a-percentage", "has_questions": false, "keywords": "Percentage, math, khan, CC_7_EE_2, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/growing-by-a-percentage", "duration": 582, "translated_title": "Growing by a percentage", "translated_description_html": "Growing a quantity by a percentage", "id": "23456", "description_html": "Growing a quantity by a percentage", "title": "Growing by a percentage", "progress_key": "v23456", "edit_slug": "edit/v/23456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Growing a quantity by a percentage", "extra_properties": null, "node_slug": "v/growing-by-a-percentage", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.mp4/X2jVap1YgwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X2jVap1YgwI.m3u8/X2jVap1YgwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X2jVap1YgwI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23456", "sha": "2624ff4bc28e48563ec138ee240f697f6d009a88", "translated_description": "Growing a quantity by a percentage", "image_url": "https://img.youtube.com/vi/X2jVap1YgwI/hqdefault.jpg", "youtube_id": "X2jVap1YgwI", "content_kind": "Video", "readable_id": "growing-by-a-percentage"}, {"translated_youtube_id": "4oeoIOan_h4", "relative_url": "/video/more-percent-problems", "has_questions": false, "keywords": "Percent, math, algebra, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/more-percent-problems", "duration": 545, "translated_title": "More percent problems", "translated_description_html": "Slightly harder percent problems", "id": "23460", "description_html": "Slightly harder percent problems", "title": "More percent problems", "progress_key": "v23460", "edit_slug": "edit/v/23460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slightly harder percent problems", "extra_properties": null, "node_slug": "v/more-percent-problems", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4oeoIOan_h4.mp4/4oeoIOan_h4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4oeoIOan_h4.mp4/4oeoIOan_h4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4oeoIOan_h4.m3u8/4oeoIOan_h4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4oeoIOan_h4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23460", "sha": "613308664c86dc310390570c77be31546f7233b9", "translated_description": "Slightly harder percent problems", "image_url": "https://img.youtube.com/vi/4oeoIOan_h4/hqdefault.jpg", "youtube_id": "4oeoIOan_h4", "content_kind": "Video", "readable_id": "more-percent-problems"}, {"translated_youtube_id": "bAUT_Pux73w", "relative_url": "/video/age-word-problems-1", "has_questions": false, "keywords": "algebra, word, problems, CC_7_RP_2_c", "ka_url": "http://www.khanacademy.org/video/age-word-problems-1", "duration": 432, "translated_title": "Age word problems 1", "translated_description_html": "Age word problems", "id": "23476", "description_html": "Age word problems", "title": "Age word problems 1", "progress_key": "v23476", "edit_slug": "edit/v/23476", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Age word problems", "extra_properties": null, "node_slug": "v/age-word-problems-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bAUT_Pux73w.mp4/bAUT_Pux73w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bAUT_Pux73w.mp4/bAUT_Pux73w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bAUT_Pux73w.m3u8/bAUT_Pux73w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bAUT_Pux73w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23476", "sha": "f431097e989dfc28e1b8f48b6bf8f0a46628bead", "translated_description": "Age word problems", "image_url": "https://img.youtube.com/vi/bAUT_Pux73w/hqdefault.jpg", "youtube_id": "bAUT_Pux73w", "content_kind": "Video", "readable_id": "age-word-problems-1"}, {"translated_youtube_id": "pPqPj8CAPvI", "relative_url": "/video/age-word-problems-2", "has_questions": false, "keywords": "algebra, word, problems, CC_7_RP_2_c", "ka_url": "http://www.khanacademy.org/video/age-word-problems-2", "duration": 596, "translated_title": "Age word problems 2", "translated_description_html": "Second set of age word problems", "id": "23478", "description_html": "Second set of age word problems", "title": "Age word problems 2", "progress_key": "v23478", "edit_slug": "edit/v/23478", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second set of age word problems", "extra_properties": null, "node_slug": "v/age-word-problems-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pPqPj8CAPvI.mp4/pPqPj8CAPvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pPqPj8CAPvI.mp4/pPqPj8CAPvI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pPqPj8CAPvI.m3u8/pPqPj8CAPvI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pPqPj8CAPvI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23478", "sha": "9ffaa0342e4ba81b9139e761130c7a5e6a262404", "translated_description": "Second set of age word problems", "image_url": "https://img.youtube.com/vi/pPqPj8CAPvI/hqdefault.jpg", "youtube_id": "pPqPj8CAPvI", "content_kind": "Video", "readable_id": "age-word-problems-2"}, {"translated_youtube_id": "DplUpe3oyWo", "relative_url": "/video/age-word-problems-3", "has_questions": false, "keywords": "algebra, word, problems, CC_7_RP_2_c", "ka_url": "http://www.khanacademy.org/video/age-word-problems-3", "duration": 248, "translated_title": "Age word problems 3", "translated_description_html": "Part 3 of the presentation on age word problems", "id": "23480", "description_html": "Part 3 of the presentation on age word problems", "title": "Age word problems 3", "progress_key": "v23480", "edit_slug": "edit/v/23480", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 3 of the presentation on age word problems", "extra_properties": null, "node_slug": "v/age-word-problems-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DplUpe3oyWo.mp4/DplUpe3oyWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DplUpe3oyWo.mp4/DplUpe3oyWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DplUpe3oyWo.m3u8/DplUpe3oyWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DplUpe3oyWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23480", "sha": "ce34e2e2ca324acd1f3364ce3a7a1409bc9cd8ab", "translated_description": "Part 3 of the presentation on age word problems", "image_url": "https://img.youtube.com/vi/DplUpe3oyWo/hqdefault.jpg", "youtube_id": "DplUpe3oyWo", "content_kind": "Video", "readable_id": "age-word-problems-3"}], "twitter_url": "", "translated_description": "Some of Sal's oldest (and roughest) videos on algebra. Great tutorial if you want to see what Khan Academy was like around 2006. You might also like it if you feel like Sal has lost his magic now that he doesn't use the cheapest possible equipment to make the videos.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Some of Sal's oldest (and roughest) videos on algebra. Great tutorial if you want to see what Khan Academy was like around 2006. You might also like it if you feel like Sal has lost his magic now that he doesn't use the cheapest possible equipment to make the videos.", "x_pos": 0.0, "node_slug": "old-school-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6d96ae72", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/old-school-equations", "slug": "old-school-equations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "93f96583ad4eb3987986d8f7839d88d5ff99c58a", "standalone_title": "Old school equations with Sal", "y_pos": 0.0, "current_revision_key": "93f96583ad4eb3987986d8f7839d88d5ff99c58a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "", "x_pos": 10.0, "node_slug": "solving-linear-equations-and-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T14:41:51Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax86a3d4b8", "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities", "slug": "solving-linear-equations-and-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "53e9b0ed077a573d4a4633dad887303d1f0fb30a", "standalone_title": "Linear equations", "y_pos": 30.0, "current_revision_key": "53e9b0ed077a573d4a4633dad887303d1f0fb30a", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/solving-linear-equations-and-inequalities-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/linear_inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear_inequalities", "translated_standalone_title": "Linear inequalities", "translated_title": "Linear inequalities", "gplus_url": "", "id": "x468c6c9a", "old_key_name": "RMCbw3fiPnqa7vGD5SivBWR1gH7XmCC-Fxss6NVp", "hide": false, "title": "Linear inequalities", "child_data": [{"kind": "Topic", "id": "x19625de3"}, {"kind": "Topic", "id": "x0a217697"}, {"kind": "Topic", "id": "xb4877dd4"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear_inequalities/inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear_inequalities/inequalities", "translated_standalone_title": "Thinking algebraically about inequalities", "translated_title": "Thinking algebraically about inequalities", "gplus_url": "", "id": "x19625de3", "old_key_name": "sEj_4IzDmHb4g__cHjlxlnsFOo5mD2xb6Nld7uow", "hide": false, "title": "Thinking algebraically about inequalities", "child_data": [{"kind": "Video", "id": 23662}, {"kind": "Video", "id": 13179475}, {"kind": "Video", "id": 26815}, {"kind": "Exercise", "id": 205299729}, {"kind": "Video", "id": 13179474}, {"kind": "Video", "id": 23660}, {"kind": "Video", "id": 26814}, {"kind": "Video", "id": 547403341}, {"kind": "Video", "id": 13179489}, {"kind": "Video", "id": 153770149}, {"kind": "Exercise", "id": 3033}, {"kind": "Video", "id": 26813}, {"kind": "Video", "id": 26820}, {"kind": "Video", "id": 26821}, {"kind": "Exercise", "id": "x8fd64f51"}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23588}], "children": [{"translated_youtube_id": "PNXozoJWsWc", "relative_url": "/video/inequalities-using-multiplication-and-division", "has_questions": false, "keywords": "Inequalities, Using, Multiplication, and, Division, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/inequalities-using-multiplication-and-division", "duration": 627, "translated_title": "Inequalities using multiplication and division", "translated_description_html": "Inequalities Using Multiplication and Division", "id": "23662", "description_html": "Inequalities Using Multiplication and Division", "title": "Inequalities using multiplication and division", "progress_key": "v23662", "edit_slug": "edit/v/23662", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inequalities Using Multiplication and Division", "extra_properties": null, "node_slug": "v/inequalities-using-multiplication-and-division", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.m3u8/PNXozoJWsWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PNXozoJWsWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23662", "sha": "24b7d782340e0cc43ace21bd1508406a96290680", "translated_description": "Inequalities Using Multiplication and Division", "image_url": "https://img.youtube.com/vi/PNXozoJWsWc/hqdefault.jpg", "youtube_id": "PNXozoJWsWc", "content_kind": "Video", "readable_id": "inequalities-using-multiplication-and-division"}, {"translated_youtube_id": "D1cKk48kz-E", "relative_url": "/video/one-step-inequalities-2", "has_questions": false, "keywords": "u10_l2_t1_we3, One-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3", "ka_url": "http://www.khanacademy.org/video/one-step-inequalities-2", "duration": 174, "translated_title": "One-step inequality with multiplication and division example", "translated_description_html": "

One-Step Inequalities 2<\/p>\n", "id": "13179475", "description_html": "

One-Step Inequalities 2<\/p>\n", "title": "One-step inequality with multiplication and division example", "progress_key": "v13179475", "edit_slug": "edit/v/13179475", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "One-Step Inequalities 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/one-step-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.mp4/D1cKk48kz-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.mp4/D1cKk48kz-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D1cKk48kz-E.m3u8/D1cKk48kz-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D1cKk48kz-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179475", "sha": "4abe2292682f5cdfdac0c9a37557e1308ec31a17", "translated_description": "One-Step Inequalities 2\n", "image_url": "https://img.youtube.com/vi/D1cKk48kz-E/hqdefault.jpg", "youtube_id": "D1cKk48kz-E", "content_kind": "Video", "readable_id": "one-step-inequalities-2"}, {"translated_youtube_id": "FZ2APP6-grU", "relative_url": "/video/inequalities", "has_questions": false, "keywords": "Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/inequalities", "duration": 129, "translated_title": "Constructing and solving one-step inequality", "translated_description_html": "Inequalities", "id": "26815", "description_html": "Inequalities", "title": "Constructing and solving one-step inequality", "progress_key": "v26815", "edit_slug": "edit/v/26815", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing an inequality of the form Ax < B and then solving", "extra_properties": null, "node_slug": "v/inequalities", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.mp4/FZ2APP6-grU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.mp4/FZ2APP6-grU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FZ2APP6-grU.m3u8/FZ2APP6-grU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FZ2APP6-grU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26815", "sha": "39907267ee04d2866f22178cfe4335f62b0363e8", "translated_description": "Constructing an inequality of the form Ax < B and then solving", "image_url": "https://img.youtube.com/vi/FZ2APP6-grU/hqdefault.jpg", "youtube_id": "FZ2APP6-grU", "content_kind": "Video", "readable_id": "inequalities"}, {"translated_youtube_id": "17a443nL7Qw", "relative_url": "/video/one-step-inequalities", "has_questions": false, "keywords": "u10_l2_t1_we2, One-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3", "ka_url": "http://www.khanacademy.org/video/one-step-inequalities", "duration": 114, "translated_title": "One-step inequality involving addition", "translated_description_html": "

One-Step Inequalities<\/p>\n", "id": "13179474", "description_html": "

One-Step Inequalities<\/p>\n", "title": "One-step inequality involving addition", "progress_key": "v13179474", "edit_slug": "edit/v/13179474", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "One-Step Inequalities\n", "extra_properties": {"original_url": ""}, "node_slug": "v/one-step-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/17a443nL7Qw.mp4/17a443nL7Qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/17a443nL7Qw.mp4/17a443nL7Qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/17a443nL7Qw.m3u8/17a443nL7Qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=17a443nL7Qw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179474", "sha": "8a20a880694ef5304952d78fad05ef941bc704b9", "translated_description": "One-Step Inequalities\n", "image_url": "https://img.youtube.com/vi/17a443nL7Qw/hqdefault.jpg", "youtube_id": "17a443nL7Qw", "content_kind": "Video", "readable_id": "one-step-inequalities"}, {"translated_youtube_id": "UTs4uZhu5t8", "relative_url": "/video/inequalities-using-addition-and-subtraction", "has_questions": false, "keywords": "Inequalities, Using, Addition, and, Subtraction, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/inequalities-using-addition-and-subtraction", "duration": 468, "translated_title": "Inequalities using addition and subtraction", "translated_description_html": "Inequalities Using Addition and Subtraction", "id": "23660", "description_html": "Inequalities Using Addition and Subtraction", "title": "Inequalities using addition and subtraction", "progress_key": "v23660", "edit_slug": "edit/v/23660", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inequalities Using Addition and Subtraction", "extra_properties": null, "node_slug": "v/inequalities-using-addition-and-subtraction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UTs4uZhu5t8.mp4/UTs4uZhu5t8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UTs4uZhu5t8.mp4/UTs4uZhu5t8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UTs4uZhu5t8.m3u8/UTs4uZhu5t8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UTs4uZhu5t8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23660", "sha": "f24b63609a11d800c30d1a22361b01dbc7ea4710", "translated_description": "Inequalities Using Addition and Subtraction", "image_url": "https://img.youtube.com/vi/UTs4uZhu5t8/hqdefault.jpg", "youtube_id": "UTs4uZhu5t8", "content_kind": "Video", "readable_id": "inequalities-using-addition-and-subtraction"}, {"translated_youtube_id": "y7QLay8wrW8", "relative_url": "/video/solving-inequalities", "has_questions": false, "keywords": "U05_L1_T1_we2, Solving, Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/solving-inequalities", "duration": 272, "translated_title": "Two-step inequality example", "translated_description_html": "Solving Inequalities", "id": "26814", "description_html": "Solving Inequalities", "title": "Two-step inequality example", "progress_key": "v26814", "edit_slug": "edit/v/26814", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Inequalities", "extra_properties": null, "node_slug": "v/solving-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.mp4/y7QLay8wrW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.mp4/y7QLay8wrW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y7QLay8wrW8.m3u8/y7QLay8wrW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y7QLay8wrW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26814", "sha": "1577df83d01116846d0944b115054269598c809f", "translated_description": "Solving Inequalities", "image_url": "https://img.youtube.com/vi/y7QLay8wrW8/hqdefault.jpg", "youtube_id": "y7QLay8wrW8", "content_kind": "Video", "readable_id": "solving-inequalities"}, {"translated_youtube_id": "xOxvyeSl0uA", "relative_url": "/video/multi-step-inequalities", "has_questions": false, "keywords": "Compound, Inequalities", "ka_url": "http://www.khanacademy.org/video/multi-step-inequalities", "duration": 482, "translated_title": "Multi-step inequalities", "translated_description_html": "Compound Inequalities", "id": "547403341", "description_html": "Compound Inequalities", "title": "Multi-step inequalities", "progress_key": "v547403341", "edit_slug": "edit/v/547403341", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Compound Inequalities", "extra_properties": null, "node_slug": "v/multi-step-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-03T11:01:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xOxvyeSl0uA.mp4/xOxvyeSl0uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xOxvyeSl0uA.mp4/xOxvyeSl0uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xOxvyeSl0uA.m3u8/xOxvyeSl0uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xOxvyeSl0uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v547403341", "sha": "d02bb5c1dd0a25affebb488054f7ca5ffbe2fcb1", "translated_description": "Compound Inequalities", "image_url": "https://img.youtube.com/vi/xOxvyeSl0uA/hqdefault.jpg", "youtube_id": "xOxvyeSl0uA", "content_kind": "Video", "readable_id": "multi-step-inequalities"}, {"translated_youtube_id": "XOAn5z8mkvI", "relative_url": "/video/multi-step-inequalities-2", "has_questions": false, "keywords": "u10_l2_t2_we2, Multi-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3", "ka_url": "http://www.khanacademy.org/video/multi-step-inequalities-2", "duration": 227, "translated_title": "Multi-step inequalities 2", "translated_description_html": "Multi-Step Inequalities 2", "id": "13179489", "description_html": "Multi-Step Inequalities 2", "title": "Multi-step inequalities 2", "progress_key": "v13179489", "edit_slug": "edit/v/13179489", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multi-Step Inequalities 2", "extra_properties": null, "node_slug": "v/multi-step-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XOAn5z8mkvI.mp4/XOAn5z8mkvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XOAn5z8mkvI.mp4/XOAn5z8mkvI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XOAn5z8mkvI.m3u8/XOAn5z8mkvI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XOAn5z8mkvI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179489", "sha": "6cd03ac256376e6224a3dc5b287c06da320a5df1", "translated_description": "Multi-Step Inequalities 2", "image_url": "https://img.youtube.com/vi/XOAn5z8mkvI/hqdefault.jpg", "youtube_id": "XOAn5z8mkvI", "content_kind": "Video", "readable_id": "multi-step-inequalities-2"}, {"translated_youtube_id": "SgKBBUFaGb4", "relative_url": "/video/multi-step-inequalities-3", "has_questions": false, "keywords": "u10_l2_t2_we1, Multi-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/multi-step-inequalities-3", "duration": 338, "translated_title": "Multi-step inequalities 3", "translated_description_html": " Multi-Step Inequalities", "id": "153770149", "description_html": " Multi-Step Inequalities", "title": "Multi-step inequalities 3", "progress_key": "v153770149", "edit_slug": "edit/v/153770149", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Multi-Step Inequalities", "extra_properties": null, "node_slug": "v/multi-step-inequalities-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-15T23:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SgKBBUFaGb4.mp4/SgKBBUFaGb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SgKBBUFaGb4.mp4/SgKBBUFaGb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SgKBBUFaGb4.m3u8/SgKBBUFaGb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SgKBBUFaGb4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770149", "sha": "e720c9d50e09fc6ce4cdd131a7c23b1cff1b5140", "translated_description": " Multi-Step Inequalities", "image_url": "https://img.youtube.com/vi/SgKBBUFaGb4/hqdefault.jpg", "youtube_id": "SgKBBUFaGb4", "content_kind": "Video", "readable_id": "multi-step-inequalities-3"}, {"translated_youtube_id": "wo7DSaPP8hQ", "relative_url": "/video/interpreting-inequalities", "has_questions": false, "keywords": "U05_L1_T1_we1, Interpreting, Inequalities, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/interpreting-inequalities", "duration": 399, "translated_title": "Interpreting inequalities", "translated_description_html": "Interpreting Inequalities", "id": "26813", "description_html": "Interpreting Inequalities", "title": "Interpreting inequalities", "progress_key": "v26813", "edit_slug": "edit/v/26813", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interpreting Inequalities", "extra_properties": null, "node_slug": "v/interpreting-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.mp4/wo7DSaPP8hQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.mp4/wo7DSaPP8hQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wo7DSaPP8hQ.m3u8/wo7DSaPP8hQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wo7DSaPP8hQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26813", "sha": "57c6b88365345e4c27bbfeb5e2527e4b5b8f5bae", "translated_description": "Interpreting Inequalities", "image_url": "https://img.youtube.com/vi/wo7DSaPP8hQ/hqdefault.jpg", "youtube_id": "wo7DSaPP8hQ", "content_kind": "Video", "readable_id": "interpreting-inequalities"}, {"translated_youtube_id": "cCMpin3Te4s", "relative_url": "/video/writing-and-using-inequalities-2", "has_questions": false, "keywords": "U05_L1_T3_we2, Writing, and, using, inequalities, CC_6_EE_6, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/writing-and-using-inequalities-2", "duration": 400, "translated_title": "Writing and using inequalities 2", "translated_description_html": "Writing and using inequalities 2", "id": "26820", "description_html": "Writing and using inequalities 2", "title": "Writing and using inequalities 2", "progress_key": "v26820", "edit_slug": "edit/v/26820", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing and using inequalities 2", "extra_properties": null, "node_slug": "v/writing-and-using-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.mp4/cCMpin3Te4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.mp4/cCMpin3Te4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cCMpin3Te4s.m3u8/cCMpin3Te4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cCMpin3Te4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26820", "sha": "2db175c6ecb8f46d0b88c1789b0fec8169f7393b", "translated_description": "Writing and using inequalities 2", "image_url": "https://img.youtube.com/vi/cCMpin3Te4s/hqdefault.jpg", "youtube_id": "cCMpin3Te4s", "content_kind": "Video", "readable_id": "writing-and-using-inequalities-2"}, {"translated_youtube_id": "pbLiN8D9gAk", "relative_url": "/video/writing-and-using-inequalities-3", "has_questions": false, "keywords": "U05_L1_T3_we3, Writing, and, using, inequalities, CC_6_EE_6, CC_6_EE_8, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/writing-and-using-inequalities-3", "duration": 121, "translated_title": "Writing and using inequalities 3", "translated_description_html": "Writing and using inequalities 3", "id": "26821", "description_html": "Writing and using inequalities 3", "title": "Writing and using inequalities 3", "progress_key": "v26821", "edit_slug": "edit/v/26821", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing and using inequalities 3", "extra_properties": null, "node_slug": "v/writing-and-using-inequalities-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.mp4/pbLiN8D9gAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.mp4/pbLiN8D9gAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pbLiN8D9gAk.m3u8/pbLiN8D9gAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pbLiN8D9gAk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26821", "sha": "83eb051dde6bdc31d8b6f004986bf775a5592070", "translated_description": "Writing and using inequalities 3", "image_url": "https://img.youtube.com/vi/pbLiN8D9gAk/hqdefault.jpg", "youtube_id": "pbLiN8D9gAk", "content_kind": "Video", "readable_id": "writing-and-using-inequalities-3"}, {"translated_youtube_id": "hJ-_OoCHTks", "relative_url": "/video/equations-and-inequalities", "has_questions": false, "keywords": "Equations, And, Inequalities, CC_7_EE_4, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/equations-and-inequalities", "duration": 971, "translated_title": "Inequality examples", "translated_description_html": null, "id": "23588", "description_html": null, "title": "Inequality examples", "progress_key": "v23588", "edit_slug": "edit/v/23588", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/equations-and-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJ-_OoCHTks.mp4/hJ-_OoCHTks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJ-_OoCHTks.mp4/hJ-_OoCHTks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJ-_OoCHTks.m3u8/hJ-_OoCHTks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJ-_OoCHTks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23588", "sha": "f59f4fd2a7ae04f57b13791cf449e6e6d13755c1", "translated_description": null, "image_url": "https://img.youtube.com/vi/hJ-_OoCHTks/hqdefault.jpg", "youtube_id": "hJ-_OoCHTks", "content_kind": "Video", "readable_id": "equations-and-inequalities"}], "twitter_url": "", "translated_description": "In this tutorial you'll discover that much of the logic you've used to solve equations can also be applied to think about inequalities!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial you'll discover that much of the logic you've used to solve equations can also be applied to think about inequalities!", "x_pos": 0.0, "node_slug": "inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-22T23:44:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax19625de3", "topic_page_url": "/math/algebra/linear_inequalities/inequalities", "extended_slug": "math/algebra/linear_inequalities/inequalities", "slug": "inequalities", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f5d0f82b9579bce58422b6c0e9e6a4526a6f378f", "standalone_title": "Thinking algebraically about inequalities", "y_pos": 0.0, "current_revision_key": "f5d0f82b9579bce58422b6c0e9e6a4526a6f378f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear_inequalities/compound_absolute_value_inequali", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali", "translated_standalone_title": "Compound and absolute value inequalities", "translated_title": "Compound and absolute value inequalities", "gplus_url": "", "id": "x0a217697", "old_key_name": "WWXjV0XA03GVbyR1sGbc7OIfNAXgjYBYsfu8wgSO", "hide": false, "title": "Compound and absolute value inequalities", "child_data": [{"kind": "Video", "id": 23666}, {"kind": "Video", "id": 13179490}, {"kind": "Video", "id": 13179491}, {"kind": "Video", "id": 153754478}, {"kind": "Video", "id": 13179493}, {"kind": "Exercise", "id": 237979349}, {"kind": "Video", "id": 4802220}, {"kind": "Video", "id": 26816}, {"kind": "Video", "id": 13179495}, {"kind": "Video", "id": 26818}, {"kind": "Video", "id": 26819}], "children": [{"translated_youtube_id": "A3xPhzs-KBI", "relative_url": "/video/compound-inequalities", "has_questions": false, "keywords": "Compound, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/compound-inequalities", "duration": 705, "translated_title": "Compound inequalities", "translated_description_html": "Compound Inequalities", "id": "23666", "description_html": "Compound Inequalities", "title": "Compound inequalities", "progress_key": "v23666", "edit_slug": "edit/v/23666", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Compound Inequalities", "extra_properties": null, "node_slug": "v/compound-inequalities", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A3xPhzs-KBI.mp4/A3xPhzs-KBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A3xPhzs-KBI.mp4/A3xPhzs-KBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A3xPhzs-KBI.m3u8/A3xPhzs-KBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A3xPhzs-KBI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23666", "sha": "cd6f5ac2a7860ccf98fe632857e95d2127f9a49e", "translated_description": "Compound Inequalities", "image_url": "https://img.youtube.com/vi/A3xPhzs-KBI/hqdefault.jpg", "youtube_id": "A3xPhzs-KBI", "content_kind": "Video", "readable_id": "compound-inequalities"}, {"translated_youtube_id": "0YErxSShF0A", "relative_url": "/video/compund-inequalities", "has_questions": false, "keywords": "u10_l3_t1_we1, Compund, Inequalities", "ka_url": "http://www.khanacademy.org/video/compund-inequalities", "duration": 271, "translated_title": "Compound inequalities", "translated_description_html": "Compound Inequalities", "id": "13179490", "description_html": "Compound Inequalities", "title": "Compound inequalities", "progress_key": "v13179490", "edit_slug": "edit/v/13179490", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Compound Inequalities", "extra_properties": null, "node_slug": "v/compund-inequalities", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0YErxSShF0A.mp4/0YErxSShF0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0YErxSShF0A.mp4/0YErxSShF0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0YErxSShF0A.m3u8/0YErxSShF0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0YErxSShF0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179490", "sha": "d673081d06108ef97e4ab874c84540dfd72a0da5", "translated_description": "Compound Inequalities", "image_url": "https://img.youtube.com/vi/0YErxSShF0A/hqdefault.jpg", "youtube_id": "0YErxSShF0A", "content_kind": "Video", "readable_id": "compund-inequalities"}, {"translated_youtube_id": "d2cnQ5ahHgE", "relative_url": "/video/compund-inequalities-2", "has_questions": false, "keywords": "u10_l3_t1_we2, Compund, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/compund-inequalities-2", "duration": 313, "translated_title": "Compound inequalities 2", "translated_description_html": "Compound Inequalities 2", "id": "13179491", "description_html": "Compound Inequalities 2", "title": "Compound inequalities 2", "progress_key": "v13179491", "edit_slug": "edit/v/13179491", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Compound Inequalities 2", "extra_properties": null, "node_slug": "v/compund-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d2cnQ5ahHgE.mp4/d2cnQ5ahHgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d2cnQ5ahHgE.mp4/d2cnQ5ahHgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d2cnQ5ahHgE.m3u8/d2cnQ5ahHgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d2cnQ5ahHgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179491", "sha": "467f87aa32086c0dce17d0cc1d6863a5a2724037", "translated_description": "Compound Inequalities 2", "image_url": "https://img.youtube.com/vi/d2cnQ5ahHgE/hqdefault.jpg", "youtube_id": "d2cnQ5ahHgE", "content_kind": "Video", "readable_id": "compund-inequalities-2"}, {"translated_youtube_id": "cvB8b4AACyE", "relative_url": "/video/compound-inequalities-3", "has_questions": false, "keywords": "u10_l3_t1_we3, Compound, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/compound-inequalities-3", "duration": 268, "translated_title": "Compound inequalities 3", "translated_description_html": "Compound Inequalities 3", "id": "153754478", "description_html": "Compound Inequalities 3", "title": "Compound inequalities 3", "progress_key": "v153754478", "edit_slug": "edit/v/153754478", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Compound Inequalities 3", "extra_properties": null, "node_slug": "v/compound-inequalities-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-15T23:27:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cvB8b4AACyE.mp4/cvB8b4AACyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cvB8b4AACyE.mp4/cvB8b4AACyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cvB8b4AACyE.m3u8/cvB8b4AACyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cvB8b4AACyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153754478", "sha": "204c0f5911cedaae0404b741a1fd2e93e63c808a", "translated_description": "Compound Inequalities 3", "image_url": "https://img.youtube.com/vi/cvB8b4AACyE/hqdefault.jpg", "youtube_id": "cvB8b4AACyE", "content_kind": "Video", "readable_id": "compound-inequalities-3"}, {"translated_youtube_id": "ZF_cZ-GX9PI", "relative_url": "/video/compound-inequalities-4", "has_questions": false, "keywords": "u10_l3_t1_we4, Compound, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/compound-inequalities-4", "duration": 161, "translated_title": "Compound inequalities 4", "translated_description_html": "Compound Inequalities 4", "id": "13179493", "description_html": "Compound Inequalities 4", "title": "Compound inequalities 4", "progress_key": "v13179493", "edit_slug": "edit/v/13179493", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Compound Inequalities 4", "extra_properties": null, "node_slug": "v/compound-inequalities-4", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZF_cZ-GX9PI.mp4/ZF_cZ-GX9PI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZF_cZ-GX9PI.mp4/ZF_cZ-GX9PI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZF_cZ-GX9PI.m3u8/ZF_cZ-GX9PI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZF_cZ-GX9PI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179493", "sha": "49925fa0ac60d20d68ddafd6465cb848702fc2d2", "translated_description": "Compound Inequalities 4", "image_url": "https://img.youtube.com/vi/ZF_cZ-GX9PI/hqdefault.jpg", "youtube_id": "ZF_cZ-GX9PI", "content_kind": "Video", "readable_id": "compound-inequalities-4"}, {"translated_youtube_id": "iI_2Piwn_og", "relative_url": "/video/absolute-value-inequalities", "has_questions": false, "keywords": "Absolute, Value, Inequalities", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities", "duration": 793, "translated_title": "Absolute value inequalities", "translated_description_html": "Absolute Value Inequalities", "id": "4802220", "description_html": "Absolute Value Inequalities", "title": "Absolute value inequalities", "progress_key": "v4802220", "edit_slug": "edit/v/4802220", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Absolute Value Inequalities", "extra_properties": null, "node_slug": "v/absolute-value-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.m3u8/iI_2Piwn_og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iI_2Piwn_og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802220", "sha": "8cb5b74de1c9bf72dd35c8528679af1a65eda64b", "translated_description": "Absolute Value Inequalities", "image_url": "https://img.youtube.com/vi/iI_2Piwn_og/hqdefault.jpg", "youtube_id": "iI_2Piwn_og", "content_kind": "Video", "readable_id": "absolute-value-inequalities"}, {"translated_youtube_id": "TvUCe6Bomy4", "relative_url": "/video/absolute-value-inequalities-example-1", "has_questions": false, "keywords": "U05_L1_T2_we1, Absolute, value, inequalities", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities-example-1", "duration": 207, "translated_title": "Absolute value inequalities example 1", "translated_description_html": "Absolute value inequalities, graph solution on number line", "id": "26816", "description_html": "Absolute value inequalities, graph solution on number line", "title": "Absolute value inequalities example 1", "progress_key": "v26816", "edit_slug": "edit/v/26816", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute value inequalities, graph solution on number line", "extra_properties": null, "node_slug": "v/absolute-value-inequalities-example-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.m3u8/TvUCe6Bomy4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TvUCe6Bomy4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26816", "sha": "7d994515f443447e97c052d29be4955a7d7666ed", "translated_description": "Absolute value inequalities, graph solution on number line", "image_url": "https://img.youtube.com/vi/TvUCe6Bomy4/hqdefault.jpg", "youtube_id": "TvUCe6Bomy4", "content_kind": "Video", "readable_id": "absolute-value-inequalities-example-1"}, {"translated_youtube_id": "YKQLZOq4HTA", "relative_url": "/video/absolute-value-inequalities-example-2", "has_questions": false, "keywords": "u10_l3_t2_we2, Absolute, Value, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_6_NS_7_c, CC_6_NS_7_d, CC_7_EE_4, CC_7_EE_4_b, CC_7_NS_1, CC_7_NS_1_c, CC_39336_A-CED_1, CC_39336_A-CED_3", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities-example-2", "duration": 279, "translated_title": "Absolute value inequalities example 2", "translated_description_html": "Absolute Value Inequalities", "id": "13179495", "description_html": "Absolute Value Inequalities", "title": "Absolute value inequalities example 2", "progress_key": "v13179495", "edit_slug": "edit/v/13179495", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Absolute Value Inequalities", "extra_properties": null, "node_slug": "v/absolute-value-inequalities-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:40:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YKQLZOq4HTA.mp4/YKQLZOq4HTA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YKQLZOq4HTA.mp4/YKQLZOq4HTA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YKQLZOq4HTA.m3u8/YKQLZOq4HTA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YKQLZOq4HTA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179495", "sha": "391e4048ea0a1dc7cfa10200dda03d8c710cf68d", "translated_description": "Absolute Value Inequalities", "image_url": "https://img.youtube.com/vi/YKQLZOq4HTA/hqdefault.jpg", "youtube_id": "YKQLZOq4HTA", "content_kind": "Video", "readable_id": "absolute-value-inequalities-example-2"}, {"translated_youtube_id": "y9MGpOGQVqQ", "relative_url": "/video/absolute-value-inequalities-example-3", "has_questions": false, "keywords": "U05_L1_T2_we3, Absolute, value, inequalities, CC_6_EE_8, CC_6_NS_7_a, CC_6_NS_7_c, CC_7_NS_1, CC_8_EE_7_a", "ka_url": "http://www.khanacademy.org/video/absolute-value-inequalities-example-3", "duration": 155, "translated_title": "Absolute value inequalities example 3", "translated_description_html": "Absolute value inequalities 3", "id": "26818", "description_html": "Absolute value inequalities 3", "title": "Absolute value inequalities example 3", "progress_key": "v26818", "edit_slug": "edit/v/26818", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute value inequalities 3", "extra_properties": null, "node_slug": "v/absolute-value-inequalities-example-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.m3u8/y9MGpOGQVqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y9MGpOGQVqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26818", "sha": "f7021f4285239d7dc5a61a59d73c69ce7b409656", "translated_description": "Absolute value inequalities 3", "image_url": "https://img.youtube.com/vi/y9MGpOGQVqQ/hqdefault.jpg", "youtube_id": "y9MGpOGQVqQ", "content_kind": "Video", "readable_id": "absolute-value-inequalities-example-3"}, {"translated_youtube_id": "RHe9X2HDEjA", "relative_url": "/video/writing-and-using-inequalities", "has_questions": false, "keywords": "U05_L1_T3_we1, Writing, and, using, inequalities, CC_6_EE_8, CC_6_NS_7_c, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/writing-and-using-inequalities", "duration": 278, "translated_title": "Writing and using inequalities", "translated_description_html": "Writing and using inequalities", "id": "26819", "description_html": "Writing and using inequalities", "title": "Writing and using inequalities", "progress_key": "v26819", "edit_slug": "edit/v/26819", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing and using inequalities", "extra_properties": null, "node_slug": "v/writing-and-using-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RHe9X2HDEjA.mp4/RHe9X2HDEjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RHe9X2HDEjA.mp4/RHe9X2HDEjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RHe9X2HDEjA.m3u8/RHe9X2HDEjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RHe9X2HDEjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26819", "sha": "222a06fd00809f3c78c4c583fa04d1223c0886ba", "translated_description": "Writing and using inequalities", "image_url": "https://img.youtube.com/vi/RHe9X2HDEjA/hqdefault.jpg", "youtube_id": "RHe9X2HDEjA", "content_kind": "Video", "readable_id": "writing-and-using-inequalities"}], "twitter_url": "", "translated_description": "You're starting to get comfortable with a world where everything isn't equal. In this tutorial, we'll add more constraints to think of at the same time. You may not realize it, but the ability to understand and manipulate compound and absolute value inequalities is key to many areas of science, engineering, and manufacturing (especially when tolerances are concerned)!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're starting to get comfortable with a world where everything isn't equal. In this tutorial, we'll add more constraints to think of at the same time. You may not realize it, but the ability to understand and manipulate compound and absolute value inequalities is key to many areas of science, engineering, and manufacturing (especially when tolerances are concerned)!", "x_pos": 0.0, "node_slug": "compound_absolute_value_inequali", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a217697", "topic_page_url": "/math/algebra/linear_inequalities/compound_absolute_value_inequali", "extended_slug": "math/algebra/linear_inequalities/compound_absolute_value_inequali", "slug": "compound_absolute_value_inequali", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6d5f51baa8fe6c11049db362c37c3bde86928c6b", "standalone_title": "Compound and absolute value inequalities", "y_pos": 0.0, "current_revision_key": "6d5f51baa8fe6c11049db362c37c3bde86928c6b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear_inequalities/structure-expressions-linear", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear", "translated_standalone_title": "Structure in linear expressions", "translated_title": "Structure in linear expressions", "gplus_url": "", "id": "xb4877dd4", "old_key_name": null, "hide": false, "title": "Structure in linear expressions", "child_data": [{"kind": "Video", "id": "x65947499"}, {"kind": "Video", "id": "xd2f9789a"}, {"kind": "Video", "id": "xf89c9064"}, {"kind": "Video", "id": "xec00e95f"}, {"kind": "Exercise", "id": "x1b8ce04c"}], "children": [{"translated_youtube_id": "glEP04Pzap8", "relative_url": "/video/dogs-cats-and-bears-in-a-pet-store-visual-argument", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dogs-cats-and-bears-in-a-pet-store-visual-argument", "duration": 354, "translated_title": "Dogs cats and bears in a pet store visual argument", "translated_description_html": "", "id": "x65947499", "description_html": "", "title": "Dogs cats and bears in a pet store visual argument", "progress_key": "vx65947499", "edit_slug": "edit/v/x65947499", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dogs-cats-and-bears-in-a-pet-store-visual-argument", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-26T22:17:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/glEP04Pzap8.mp4/glEP04Pzap8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/glEP04Pzap8.mp4/glEP04Pzap8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/glEP04Pzap8.m3u8/glEP04Pzap8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=glEP04Pzap8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx65947499", "sha": "488f54eff83ffcd4a3f6cb6add231da97d65b400", "translated_description": "", "image_url": "https://img.youtube.com/vi/glEP04Pzap8/hqdefault.jpg", "youtube_id": "glEP04Pzap8", "content_kind": "Video", "readable_id": "dogs-cats-and-bears-in-a-pet-store-visual-argument"}, {"translated_youtube_id": "mpHMuaVW0DI", "relative_url": "/video/dogs-cats-and-bears-in-a-pet-store-analytic-argument", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dogs-cats-and-bears-in-a-pet-store-analytic-argument", "duration": 164, "translated_title": "Dogs cats and bears in a pet store analytic argument", "translated_description_html": "", "id": "xd2f9789a", "description_html": "", "title": "Dogs cats and bears in a pet store analytic argument", "progress_key": "vxd2f9789a", "edit_slug": "edit/v/xd2f9789a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dogs-cats-and-bears-in-a-pet-store-analytic-argument", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-26T22:17:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mpHMuaVW0DI.mp4/mpHMuaVW0DI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mpHMuaVW0DI.mp4/mpHMuaVW0DI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mpHMuaVW0DI.m3u8/mpHMuaVW0DI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mpHMuaVW0DI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd2f9789a", "sha": "156d6fc0ef254d55140b783bb8cc5f095bd2464a", "translated_description": "", "image_url": "https://img.youtube.com/vi/mpHMuaVW0DI/hqdefault.jpg", "youtube_id": "mpHMuaVW0DI", "content_kind": "Video", "readable_id": "dogs-cats-and-bears-in-a-pet-store-analytic-argument"}, {"translated_youtube_id": "0_VaUYoNV7Y", "relative_url": "/video/reasoning-through-inequality-expressions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reasoning-through-inequality-expressions", "duration": 367, "translated_title": "Reasoning through inequality expressions", "translated_description_html": "", "id": "xf89c9064", "description_html": "", "title": "Reasoning through inequality expressions", "progress_key": "vxf89c9064", "edit_slug": "edit/v/xf89c9064", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reasoning-through-inequality-expressions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-26T22:17:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0_VaUYoNV7Y.mp4/0_VaUYoNV7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0_VaUYoNV7Y.mp4/0_VaUYoNV7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0_VaUYoNV7Y.m3u8/0_VaUYoNV7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0_VaUYoNV7Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf89c9064", "sha": "2a1325f714d3a812984cffe1299ba3177f0cd1b7", "translated_description": "", "image_url": "https://img.youtube.com/vi/0_VaUYoNV7Y/hqdefault.jpg", "youtube_id": "0_VaUYoNV7Y", "content_kind": "Video", "readable_id": "reasoning-through-inequality-expressions"}, {"translated_youtube_id": "zTLxxezKUT8", "relative_url": "/video/using-expressions-to-understand-relationships", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-expressions-to-understand-relationships", "duration": 218, "translated_title": "Using expressions to understand relationships", "translated_description_html": "", "id": "xec00e95f", "description_html": "", "title": "Using expressions to understand relationships", "progress_key": "vxec00e95f", "edit_slug": "edit/v/xec00e95f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-expressions-to-understand-relationships", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-01T17:58:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zTLxxezKUT8.mp4/zTLxxezKUT8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zTLxxezKUT8.mp4/zTLxxezKUT8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zTLxxezKUT8.m3u8/zTLxxezKUT8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zTLxxezKUT8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec00e95f", "sha": "8d506e8eb50cd3f41eaa2aae03cfaf810fb40bc9", "translated_description": "", "image_url": "https://img.youtube.com/vi/zTLxxezKUT8/hqdefault.jpg", "youtube_id": "zTLxxezKUT8", "content_kind": "Video", "readable_id": "using-expressions-to-understand-relationships"}], "twitter_url": "", "translated_description": "Algebra isn't just some voodoo concocted to keep you from running outside. It is a way of representing logic and manipulating ideas. This tutorial will have blood flowing to your brain in record quantities as you actually have to think about what the algebraic expressions and equations actually mean!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Algebra isn't just some voodoo concocted to keep you from running outside. It is a way of representing logic and manipulating ideas. This tutorial will have blood flowing to your brain in record quantities as you actually have to think about what the algebraic expressions and equations actually mean!", "x_pos": 0.0, "node_slug": "structure-expressions-linear", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb4877dd4", "topic_page_url": "/math/algebra/linear_inequalities/structure-expressions-linear", "extended_slug": "math/algebra/linear_inequalities/structure-expressions-linear", "slug": "structure-expressions-linear", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "76c1e285bc990f2a4ab053c0cfda2d9fd676bdc7", "standalone_title": "Structure in linear expressions", "y_pos": 0.0, "current_revision_key": "76c1e285bc990f2a4ab053c0cfda2d9fd676bdc7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Exploring a world where both sides aren't equal anymore!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Exploring a world where both sides aren't equal anymore!", "x_pos": 10.0, "node_slug": "linear_inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-16T15:35:03Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax468c6c9a", "topic_page_url": "/math/algebra/linear_inequalities", "extended_slug": "math/algebra/linear_inequalities", "slug": "linear_inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6a2f2f1f9dc8908d83f62d502c295f8be9ed7462", "standalone_title": "Linear inequalities", "y_pos": 35.0, "current_revision_key": "6a2f2f1f9dc8908d83f62d502c295f8be9ed7462", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/linear-equations-and-inequalitie-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie", "translated_standalone_title": "Graphing linear functions", "translated_title": "Graphing and analyzing linear functions", "gplus_url": "", "id": "x95ee270d", "old_key_name": "st2s3FGaM9_CDZZFCq1BvO8SPXzr8HZi-Je63cKP", "hide": false, "title": "Graphing and analyzing linear functions", "child_data": [{"kind": "Topic", "id": "x77ce7c91"}, {"kind": "Topic", "id": "xb77b10c2"}, {"kind": "Topic", "id": "x034b8f05"}, {"kind": "Topic", "id": "x5609caff"}, {"kind": "Topic", "id": "x6a880de7"}, {"kind": "Topic", "id": "x13677c62"}, {"kind": "Topic", "id": "xf49f4a11"}, {"kind": "Topic", "id": "xc20d9d20"}, {"kind": "Topic", "id": "xb6bf53cc"}, {"kind": "Topic", "id": "xf162feb0"}, {"kind": "Topic", "id": "x7b71e39d"}, {"kind": "Topic", "id": "x2e86effc"}, {"kind": "Topic", "id": "xce6c3abb"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/coordinate-plane", "translated_standalone_title": "Coordinate plane", "translated_title": "Coordinate plane", "gplus_url": "", "id": "x77ce7c91", "old_key_name": "4eJCEQlYEwF0OJiGGNlAJm72vsWsMpEVxsDx4ti1", "hide": false, "title": "Coordinate plane", "child_data": [{"kind": "Video", "id": 578962249}, {"kind": "Video", "id": 23630}, {"kind": "Video", "id": 396277331}, {"kind": "Video", "id": "xba8b84ab"}, {"kind": "Exercise", "id": 2016}, {"kind": "Video", "id": 33752747}, {"kind": "Video", "id": "x02167ace"}, {"kind": "Exercise", "id": 342773513}, {"kind": "Video", "id": "x08d09f9d"}, {"kind": "Exercise", "id": 702001212}, {"kind": "Video", "id": "x52229838"}, {"kind": "Exercise", "id": "x9f1166e7"}, {"kind": "Video", "id": "x1d9ac087"}, {"kind": "Exercise", "id": "x1d5815bc"}], "children": [{"translated_youtube_id": "N4nrdf0yYfM", "relative_url": "/video/descartes-and-cartesian-coordinates", "has_questions": false, "keywords": "algebra, decartes, cartesian, coordinates", "ka_url": "http://www.khanacademy.org/video/descartes-and-cartesian-coordinates", "duration": 682, "translated_title": "Descartes and Cartesian coordinates", "translated_description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "id": "578962249", "description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "title": "Descartes and Cartesian coordinates", "progress_key": "v578962249", "edit_slug": "edit/v/578962249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Bridging algebra and geometry. What makes linear equations so linear.", "extra_properties": null, "node_slug": "v/descartes-and-cartesian-coordinates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-15T22:44:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.m3u8/N4nrdf0yYfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4nrdf0yYfM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v578962249", "sha": "e4cbccad996ee2091b111f547d6046e14d705efd", "translated_description": "Bridging algebra and geometry. What makes linear equations so linear.", "image_url": "https://img.youtube.com/vi/N4nrdf0yYfM/hqdefault.jpg", "youtube_id": "N4nrdf0yYfM", "content_kind": "Video", "readable_id": "descartes-and-cartesian-coordinates"}, {"translated_youtube_id": "VhNkWdLGpmA", "relative_url": "/video/the-coordinate-plane", "has_questions": false, "keywords": "The, Coordinate, Plane, CC_6_G_3, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/the-coordinate-plane", "duration": 410, "translated_title": "The coordinate plane", "translated_description_html": null, "id": "23630", "description_html": null, "title": "The coordinate plane", "progress_key": "v23630", "edit_slug": "edit/v/23630", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/the-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.m3u8/VhNkWdLGpmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhNkWdLGpmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23630", "sha": "6b3ec50c22af3a8521e12973de857d75c9bba1cf", "translated_description": null, "image_url": "https://img.youtube.com/vi/VhNkWdLGpmA/hqdefault.jpg", "youtube_id": "VhNkWdLGpmA", "content_kind": "Video", "readable_id": "the-coordinate-plane"}, {"translated_youtube_id": "5ctsUsvIp8w", "relative_url": "/video/plot-ordered-pairs", "has_questions": false, "keywords": "u13_l1_t1_we1, Plot, ordered, pairs", "ka_url": "http://www.khanacademy.org/video/plot-ordered-pairs", "duration": 128, "translated_title": "Plot ordered pairs", "translated_description_html": "Plot ordered pairs", "id": "396277331", "description_html": "Plot ordered pairs", "title": "Plot ordered pairs", "progress_key": "v396277331", "edit_slug": "edit/v/396277331", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plot ordered pairs", "extra_properties": null, "node_slug": "v/plot-ordered-pairs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-22T11:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.m3u8/5ctsUsvIp8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ctsUsvIp8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v396277331", "sha": "f1924fb976ec501fd90e437896ec2baca767c480", "translated_description": "Plot ordered pairs", "image_url": "https://img.youtube.com/vi/5ctsUsvIp8w/hqdefault.jpg", "youtube_id": "5ctsUsvIp8w", "content_kind": "Video", "readable_id": "plot-ordered-pairs"}, {"translated_youtube_id": "4vNloi-zNjU", "relative_url": "/video/graphing-points-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-points-exercise", "duration": 141, "translated_title": "Graphing points exercise", "translated_description_html": "", "id": "xba8b84ab", "description_html": "", "title": "Graphing points exercise", "progress_key": "vxba8b84ab", "edit_slug": "edit/v/xba8b84ab", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-points-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T21:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.mp4/4vNloi-zNjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.mp4/4vNloi-zNjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4vNloi-zNjU.m3u8/4vNloi-zNjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4vNloi-zNjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxba8b84ab", "sha": "ec6d3532f890de4655f8b0c783d3a8111b857fa3", "translated_description": "", "image_url": "https://img.youtube.com/vi/4vNloi-zNjU/hqdefault.jpg", "youtube_id": "4vNloi-zNjU", "content_kind": "Video", "readable_id": "graphing-points-exercise"}, {"translated_youtube_id": "1op92ojA6q0", "relative_url": "/video/quadrants-of-coordinate-plane", "has_questions": false, "keywords": "u13_l1_t1_we2, Quadrants, of, Coordinate, Plane, CC_6_NS_6, CC_6_NS_6_b, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/quadrants-of-coordinate-plane", "duration": 144, "translated_title": "Quadrants of coordinate plane", "translated_description_html": "Quadrants of Coordinate Plane", "id": "33752747", "description_html": "Quadrants of Coordinate Plane", "title": "Quadrants of coordinate plane", "progress_key": "v33752747", "edit_slug": "edit/v/33752747", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrants of Coordinate Plane", "extra_properties": null, "node_slug": "v/quadrants-of-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.m3u8/1op92ojA6q0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1op92ojA6q0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752747", "sha": "26459ed73d5318f59c643793fd87f9c9d48da2df", "translated_description": "Quadrants of Coordinate Plane", "image_url": "https://img.youtube.com/vi/1op92ojA6q0/hqdefault.jpg", "youtube_id": "1op92ojA6q0", "content_kind": "Video", "readable_id": "quadrants-of-coordinate-plane"}, {"translated_youtube_id": "Jeh5vudjmLI", "relative_url": "/video/graphing-points-and-naming-quadrants-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-points-and-naming-quadrants-exercise", "duration": 116, "translated_title": "Graphing points and naming quadrants exercise", "translated_description_html": "", "id": "x02167ace", "description_html": "", "title": "Graphing points and naming quadrants exercise", "progress_key": "vx02167ace", "edit_slug": "edit/v/x02167ace", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-points-and-naming-quadrants-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T21:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.mp4/Jeh5vudjmLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.mp4/Jeh5vudjmLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jeh5vudjmLI.m3u8/Jeh5vudjmLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jeh5vudjmLI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx02167ace", "sha": "988898c74a3c676176a43358e750beaa65a1cedd", "translated_description": "", "image_url": "https://img.youtube.com/vi/Jeh5vudjmLI/hqdefault.jpg", "youtube_id": "Jeh5vudjmLI", "content_kind": "Video", "readable_id": "graphing-points-and-naming-quadrants-exercise"}, {"translated_youtube_id": "b9H22F0Qbgw", "relative_url": "/video/points-on-the-coordinate-plane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/points-on-the-coordinate-plane", "duration": 63, "translated_title": "Points on the coordinate plane", "translated_description_html": "", "id": "x08d09f9d", "description_html": "", "title": "Points on the coordinate plane", "progress_key": "vx08d09f9d", "edit_slug": "edit/v/x08d09f9d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/points-on-the-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-16T21:12:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.mp4/b9H22F0Qbgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.mp4/b9H22F0Qbgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b9H22F0Qbgw.m3u8/b9H22F0Qbgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b9H22F0Qbgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx08d09f9d", "sha": "4a25aafea66f95670af6635b1e00f5dbfa0d2f60", "translated_description": "", "image_url": "https://img.youtube.com/vi/b9H22F0Qbgw/hqdefault.jpg", "youtube_id": "b9H22F0Qbgw", "content_kind": "Video", "readable_id": "points-on-the-coordinate-plane"}, {"translated_youtube_id": "PC_FoyewoIs", "relative_url": "/video/coordinate-plane-word-problems-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/coordinate-plane-word-problems-exercise", "duration": 287, "translated_title": "Coordinate plane word problems exercise", "translated_description_html": "", "id": "x52229838", "description_html": "", "title": "Coordinate plane word problems exercise", "progress_key": "vx52229838", "edit_slug": "edit/v/x52229838", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/coordinate-plane-word-problems-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-16T21:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.mp4/PC_FoyewoIs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.mp4/PC_FoyewoIs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PC_FoyewoIs.m3u8/PC_FoyewoIs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PC_FoyewoIs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx52229838", "sha": "3a3530f1a1c4be81f50dbdae1468b3c9f87fa030", "translated_description": "", "image_url": "https://img.youtube.com/vi/PC_FoyewoIs/hqdefault.jpg", "youtube_id": "PC_FoyewoIs", "content_kind": "Video", "readable_id": "coordinate-plane-word-problems-exercise"}, {"translated_youtube_id": "INqaHHZGt8w", "relative_url": "/video/reflecting-points-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reflecting-points-exercise", "duration": 215, "translated_title": "Reflecting points exercise", "translated_description_html": "", "id": "x1d9ac087", "description_html": "", "title": "Reflecting points exercise", "progress_key": "vx1d9ac087", "edit_slug": "edit/v/x1d9ac087", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/reflecting-points-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-16T21:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.mp4/INqaHHZGt8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.mp4/INqaHHZGt8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/INqaHHZGt8w.m3u8/INqaHHZGt8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=INqaHHZGt8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d9ac087", "sha": "8eb1efc919b37c35bc20d911b2059226a29704a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/INqaHHZGt8w/hqdefault.jpg", "youtube_id": "INqaHHZGt8w", "content_kind": "Video", "readable_id": "reflecting-points-exercise"}], "twitter_url": "", "translated_description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", "x_pos": 0.0, "node_slug": "coordinate-plane", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-16T21:18:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax77ce7c91", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane", "extended_slug": "math/algebra/linear-equations-and-inequalitie/coordinate-plane", "slug": "coordinate-plane", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "43d1aa6fed36290517681593af440425182a94c0", "standalone_title": "Coordinate plane", "y_pos": 0.0, "current_revision_key": "43d1aa6fed36290517681593af440425182a94c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/graphing_solutions2", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_solutions2", "translated_standalone_title": "Graphing solutions to equations", "translated_title": "Graphing solutions to equations", "gplus_url": "", "id": "xb77b10c2", "old_key_name": "Z88QV3fn9L8gPgBTVvzqt0_8w531WV2gLfr5Qfoe", "hide": false, "title": "Graphing solutions to equations", "child_data": [{"kind": "Video", "id": 561901044}, {"kind": "Video", "id": 466056216}, {"kind": "Video", "id": "x5fa37e27"}, {"kind": "Exercise", "id": 371628196}, {"kind": "Video", "id": 33752746}, {"kind": "Video", "id": 23634}, {"kind": "Video", "id": 33752750}, {"kind": "Exercise", "id": 701901621}, {"kind": "Video", "id": 370285953}, {"kind": "Video", "id": 26797}, {"kind": "Video", "id": 26798}, {"kind": "Exercise", "id": 363766194}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23436}], "children": [{"translated_youtube_id": "HUn4XwV7o9I", "relative_url": "/video/ordered-pair-solutions-of-equations", "has_questions": false, "keywords": "u13_l1_t2_we3, Ordered, pair, solutions, of, equations, CC_8_EE_7_a, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/ordered-pair-solutions-of-equations", "duration": 89, "translated_title": "Ordered pair solutions of equations", "translated_description_html": " Ordered pair solutions of equations", "id": "561901044", "description_html": " Ordered pair solutions of equations", "title": "Ordered pair solutions of equations", "progress_key": "v561901044", "edit_slug": "edit/v/561901044", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Ordered pair solutions of equations", "extra_properties": null, "node_slug": "v/ordered-pair-solutions-of-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.m3u8/HUn4XwV7o9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HUn4XwV7o9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561901044", "sha": "2515c4eec09305e1b1745ce43ffd919f7ec5ecab", "translated_description": " Ordered pair solutions of equations", "image_url": "https://img.youtube.com/vi/HUn4XwV7o9I/hqdefault.jpg", "youtube_id": "HUn4XwV7o9I", "content_kind": "Video", "readable_id": "ordered-pair-solutions-of-equations"}, {"translated_youtube_id": "SSNA9gaAOVc", "relative_url": "/video/ordered-pair-solutions-of-equations-2", "has_questions": false, "keywords": "u13, l1, t2, we3, Ordered, Pair, Solutions, of, Equations", "ka_url": "http://www.khanacademy.org/video/ordered-pair-solutions-of-equations-2", "duration": 306, "translated_title": "Ordered pair solutions of equations 2", "translated_description_html": "Ordered Pair Solutions of Equations", "id": "466056216", "description_html": "Ordered Pair Solutions of Equations", "title": "Ordered pair solutions of equations 2", "progress_key": "v466056216", "edit_slug": "edit/v/466056216", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ordered Pair Solutions of Equations", "extra_properties": null, "node_slug": "v/ordered-pair-solutions-of-equations-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.mp4/SSNA9gaAOVc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.mp4/SSNA9gaAOVc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.m3u8/SSNA9gaAOVc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SSNA9gaAOVc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466056216", "sha": "f3b606c3a2177d28cb01d4525259cec37cf3dd0f", "translated_description": "Ordered Pair Solutions of Equations", "image_url": "https://img.youtube.com/vi/SSNA9gaAOVc/hqdefault.jpg", "youtube_id": "SSNA9gaAOVc", "content_kind": "Video", "readable_id": "ordered-pair-solutions-of-equations-2"}, {"translated_youtube_id": "WU9g4CvZyR0", "relative_url": "/video/determining-a-linear-equation-by-trying-out-values-from-a-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/determining-a-linear-equation-by-trying-out-values-from-a-table", "duration": 216, "translated_title": "Determining a linear equation by trying out values from a table", "translated_description_html": "", "id": "x5fa37e27", "description_html": "", "title": "Determining a linear equation by trying out values from a table", "progress_key": "vx5fa37e27", "edit_slug": "edit/v/x5fa37e27", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/determining-a-linear-equation-by-trying-out-values-from-a-table", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WU9g4CvZyR0.mp4/WU9g4CvZyR0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WU9g4CvZyR0.mp4/WU9g4CvZyR0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WU9g4CvZyR0.m3u8/WU9g4CvZyR0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WU9g4CvZyR0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5fa37e27", "sha": "eb443e1c06d535e076db19c53aa2e056b9155d12", "translated_description": "", "image_url": "https://img.youtube.com/vi/WU9g4CvZyR0/hqdefault.jpg", "youtube_id": "WU9g4CvZyR0", "content_kind": "Video", "readable_id": "determining-a-linear-equation-by-trying-out-values-from-a-table"}, {"translated_youtube_id": "86NwKBcOlow", "relative_url": "/video/plotting--x-y--relationships", "has_questions": false, "keywords": "u13_l1_t2_we1 Plotting (x, y) relationships t2, CC_8_EE_7, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/plotting--x-y--relationships", "duration": 269, "translated_title": "Plotting (x,y) relationships", "translated_description_html": "

Plotting (x,y) relationships<\/p>\n", "id": "33752746", "description_html": "

Plotting (x,y) relationships<\/p>\n", "title": "Plotting (x,y) relationships", "progress_key": "v33752746", "edit_slug": "edit/v/33752746", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Plotting (x,y) relationships\n", "extra_properties": {"original_url": ""}, "node_slug": "v/plotting--x-y--relationships", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/86NwKBcOlow.mp4/86NwKBcOlow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/86NwKBcOlow.mp4/86NwKBcOlow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/86NwKBcOlow.m3u8/86NwKBcOlow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=86NwKBcOlow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752746", "sha": "c30f6129672a6a020e18bc0933bf5bdf44129d88", "translated_description": "Plotting (x,y) relationships\n", "image_url": "https://img.youtube.com/vi/86NwKBcOlow/hqdefault.jpg", "youtube_id": "86NwKBcOlow", "content_kind": "Video", "readable_id": "plotting--x-y--relationships"}, {"translated_youtube_id": "rgvysb9emcQ", "relative_url": "/video/graphs-of-linear-equations", "has_questions": false, "keywords": "Graphs, Of, Linear, Equations, CC_39336_A-CED_2, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphs-of-linear-equations", "duration": 790, "translated_title": "Graphs of linear equations", "translated_description_html": null, "id": "23634", "description_html": null, "title": "Graphs of linear equations", "progress_key": "v23634", "edit_slug": "edit/v/23634", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/graphs-of-linear-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rgvysb9emcQ.mp4/rgvysb9emcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rgvysb9emcQ.mp4/rgvysb9emcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rgvysb9emcQ.m3u8/rgvysb9emcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rgvysb9emcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23634", "sha": "c9853db509dac2c168bbee9f607cec7e316444db", "translated_description": null, "image_url": "https://img.youtube.com/vi/rgvysb9emcQ/hqdefault.jpg", "youtube_id": "rgvysb9emcQ", "content_kind": "Video", "readable_id": "graphs-of-linear-equations"}, {"translated_youtube_id": "ljROszF_rqs", "relative_url": "/video/application-problem-with-graph", "has_questions": false, "keywords": "u13_l1_t2_we4, Application, problem, with, graph, CC_8_EE_7, CC_8_F_1, CC_8_F_4, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/application-problem-with-graph", "duration": 322, "translated_title": "Application problem with graph", "translated_description_html": "Application problem with graph", "id": "33752750", "description_html": "Application problem with graph", "title": "Application problem with graph", "progress_key": "v33752750", "edit_slug": "edit/v/33752750", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Application problem with graph", "extra_properties": null, "node_slug": "v/application-problem-with-graph", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ljROszF_rqs.mp4/ljROszF_rqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ljROszF_rqs.mp4/ljROszF_rqs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ljROszF_rqs.m3u8/ljROszF_rqs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ljROszF_rqs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752750", "sha": "a7a886ce5967438fd957a20f761ed7e69749485e", "translated_description": "Application problem with graph", "image_url": "https://img.youtube.com/vi/ljROszF_rqs/hqdefault.jpg", "youtube_id": "ljROszF_rqs", "content_kind": "Video", "readable_id": "application-problem-with-graph"}, {"translated_youtube_id": "xR9r38mZjK4", "relative_url": "/video/interpreting-linear-graphs", "has_questions": false, "keywords": "slope, line, relationship", "ka_url": "http://www.khanacademy.org/video/interpreting-linear-graphs", "duration": 305, "translated_title": "Interpreting linear graphs", "translated_description_html": "Interpreting Linear Graphs", "id": "370285953", "description_html": "Interpreting Linear Graphs", "title": "Interpreting linear graphs", "progress_key": "v370285953", "edit_slug": "edit/v/370285953", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Interpreting Linear Graphs", "extra_properties": null, "node_slug": "v/interpreting-linear-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-10T11:02:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xR9r38mZjK4.mp4/xR9r38mZjK4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xR9r38mZjK4.mp4/xR9r38mZjK4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xR9r38mZjK4.m3u8/xR9r38mZjK4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xR9r38mZjK4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370285953", "sha": "60a8ead38c67170ca4cf6494d07f5d28da632503", "translated_description": "Interpreting Linear Graphs", "image_url": "https://img.youtube.com/vi/xR9r38mZjK4/hqdefault.jpg", "youtube_id": "xR9r38mZjK4", "content_kind": "Video", "readable_id": "interpreting-linear-graphs"}, {"translated_youtube_id": "qPx7i1jwXX4", "relative_url": "/video/exploring-linear-relationships", "has_questions": false, "keywords": "U03_L2_T4_we2, Exploring, linear, relationships, CC_8_F_3, CC_8_F_4, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/exploring-linear-relationships", "duration": 298, "translated_title": "Exploring linear relationships", "translated_description_html": "Exploring linear relationships", "id": "26797", "description_html": "Exploring linear relationships", "title": "Exploring linear relationships", "progress_key": "v26797", "edit_slug": "edit/v/26797", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring linear relationships", "extra_properties": null, "node_slug": "v/exploring-linear-relationships", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qPx7i1jwXX4.mp4/qPx7i1jwXX4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qPx7i1jwXX4.mp4/qPx7i1jwXX4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qPx7i1jwXX4.m3u8/qPx7i1jwXX4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qPx7i1jwXX4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26797", "sha": "a569c02a787fd4281104e1730af5aab47df5ee5f", "translated_description": "Exploring linear relationships", "image_url": "https://img.youtube.com/vi/qPx7i1jwXX4/hqdefault.jpg", "youtube_id": "qPx7i1jwXX4", "content_kind": "Video", "readable_id": "exploring-linear-relationships"}, {"translated_youtube_id": "AZroE4fJqtQ", "relative_url": "/video/recognizing-linear-functions", "has_questions": false, "keywords": "U03_L2_T5_we1, Recognizing, Linear, Functions, CC_8_F_3, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/recognizing-linear-functions", "duration": 241, "translated_title": "Recognizing linear functions", "translated_description_html": "Recognizing Linear Functions", "id": "26798", "description_html": "Recognizing Linear Functions", "title": "Recognizing linear functions", "progress_key": "v26798", "edit_slug": "edit/v/26798", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Recognizing Linear Functions", "extra_properties": null, "node_slug": "v/recognizing-linear-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.m3u8/AZroE4fJqtQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AZroE4fJqtQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26798", "sha": "88733f3a4716687fe25432cb9334bf503a539d61", "translated_description": "Recognizing Linear Functions", "image_url": "https://img.youtube.com/vi/AZroE4fJqtQ/hqdefault.jpg", "youtube_id": "AZroE4fJqtQ", "content_kind": "Video", "readable_id": "recognizing-linear-functions"}, {"translated_youtube_id": "2UrcUfBizyw", "relative_url": "/video/algebra--graphing-lines-1", "has_questions": false, "keywords": "algebra, graphing, CC_8_EE_6, CC_39336_F-BF_3", "ka_url": "http://www.khanacademy.org/video/algebra--graphing-lines-1", "duration": 589, "translated_title": "Graphing lines 1", "translated_description_html": "Graphing linear equations", "id": "23436", "description_html": "Graphing linear equations", "title": "Graphing lines 1", "progress_key": "v23436", "edit_slug": "edit/v/23436", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing linear equations", "extra_properties": null, "node_slug": "v/algebra--graphing-lines-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2UrcUfBizyw.mp4/2UrcUfBizyw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2UrcUfBizyw.mp4/2UrcUfBizyw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2UrcUfBizyw.m3u8/2UrcUfBizyw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2UrcUfBizyw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23436", "sha": "512ad1ec10cbe1b33b7cd77da26cc4d420dc6092", "translated_description": "Graphing linear equations", "image_url": "https://img.youtube.com/vi/2UrcUfBizyw/hqdefault.jpg", "youtube_id": "2UrcUfBizyw", "content_kind": "Video", "readable_id": "algebra--graphing-lines-1"}], "twitter_url": "", "translated_description": "In this tutorial, we'll work through examples that show how a line can be viewed as all of coordinates whose x and y values satisfy a linear equation. Likewise, a linear equation can be viewed as describing a relationship between the x and y values on a line.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll work through examples that show how a line can be viewed as all of coordinates whose x and y values satisfy a linear equation. Likewise, a linear equation can be viewed as describing a relationship between the x and y values on a line.", "x_pos": 0.0, "node_slug": "graphing_solutions2", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:59:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb77b10c2", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing_solutions2", "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing_solutions2", "slug": "graphing_solutions2", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "06cdaccaf9d5c50a6e0541adcca654aaa41aed42", "standalone_title": "Graphing solutions to equations", "y_pos": 0.0, "current_revision_key": "06cdaccaf9d5c50a6e0541adcca654aaa41aed42", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts", "translated_standalone_title": "x-intercepts and y-intercepts of linear functions", "translated_title": "x-intercepts and y-intercepts of linear functions", "gplus_url": "", "id": "x034b8f05", "old_key_name": "z_6GwptUPiN3EmNXz9vgnXHcoP_EhWaLql__ZWWV", "hide": false, "title": "x-intercepts and y-intercepts of linear functions", "child_data": [{"kind": "Video", "id": 33752748}, {"kind": "Video", "id": 23632}, {"kind": "Video", "id": 26802}, {"kind": "Video", "id": 26803}, {"kind": "Exercise", "id": 371630407}, {"kind": "Video", "id": "x6bca96e9"}, {"kind": "Video", "id": "xe3701afe"}, {"kind": "Exercise", "id": "x0c785dda"}, {"kind": "Video", "id": "xff6df134"}, {"kind": "Exercise", "id": "x0877fdd3"}], "children": [{"translated_youtube_id": "6m642-2D3V4", "relative_url": "/video/graphing-using-x-and-y-intercepts", "has_questions": false, "keywords": "u13_l1_t2_we2, Graphing, using, and, intercepts, CC_8_EE_7, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/graphing-using-x-and-y-intercepts", "duration": 238, "translated_title": "Graphing using x- and y-intercepts", "translated_description_html": "Graphing using X and Y intercepts", "id": "33752748", "description_html": "Graphing using X and Y intercepts", "title": "Graphing using x- and y-intercepts", "progress_key": "v33752748", "edit_slug": "edit/v/33752748", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing using X and Y intercepts", "extra_properties": null, "node_slug": "v/graphing-using-x-and-y-intercepts", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6m642-2D3V4.mp4/6m642-2D3V4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6m642-2D3V4.mp4/6m642-2D3V4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6m642-2D3V4.m3u8/6m642-2D3V4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6m642-2D3V4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752748", "sha": "344e32b080e4db75deeeb992dcf60252e9e09fc7", "translated_description": "Graphing using X and Y intercepts", "image_url": "https://img.youtube.com/vi/6m642-2D3V4/hqdefault.jpg", "youtube_id": "6m642-2D3V4", "content_kind": "Video", "readable_id": "graphing-using-x-and-y-intercepts"}, {"translated_youtube_id": "6zixwWZ88tk", "relative_url": "/video/graphing-using-intercepts", "has_questions": false, "keywords": "GraphsOfLinearEquations", "ka_url": "http://www.khanacademy.org/video/graphing-using-intercepts", "duration": 738, "translated_title": "Graphing using intercepts", "translated_description_html": null, "id": "23632", "description_html": null, "title": "Graphing using intercepts", "progress_key": "v23632", "edit_slug": "edit/v/23632", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/graphing-using-intercepts", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6zixwWZ88tk.mp4/6zixwWZ88tk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6zixwWZ88tk.mp4/6zixwWZ88tk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6zixwWZ88tk.m3u8/6zixwWZ88tk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6zixwWZ88tk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23632", "sha": "411ff4a133307f3af91f4c4fc60f71822e389b38", "translated_description": null, "image_url": "https://img.youtube.com/vi/6zixwWZ88tk/hqdefault.jpg", "youtube_id": "6zixwWZ88tk", "content_kind": "Video", "readable_id": "graphing-using-intercepts"}, {"translated_youtube_id": "xGmef7lFc5w", "relative_url": "/video/x--and-y-intercepts", "has_questions": false, "keywords": "U04_L1_T2_we1, and, intercepts, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/x--and-y-intercepts", "duration": 248, "translated_title": "x- and y-intercepts", "translated_description_html": "X and Y intercepts", "id": "26802", "description_html": "X and Y intercepts", "title": "x- and y-intercepts", "progress_key": "v26802", "edit_slug": "edit/v/26802", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "X and Y intercepts", "extra_properties": null, "node_slug": "v/x--and-y-intercepts", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGmef7lFc5w.mp4/xGmef7lFc5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGmef7lFc5w.mp4/xGmef7lFc5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xGmef7lFc5w.m3u8/xGmef7lFc5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xGmef7lFc5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26802", "sha": "5d1f39216f620d6fa28fe54d943febbd9297b6d7", "translated_description": "X and Y intercepts", "image_url": "https://img.youtube.com/vi/xGmef7lFc5w/hqdefault.jpg", "youtube_id": "xGmef7lFc5w", "content_kind": "Video", "readable_id": "x--and-y-intercepts"}, {"translated_youtube_id": "405boztgZig", "relative_url": "/video/x-and-y-intercepts-2", "has_questions": false, "keywords": "U04_L1_T2_we2, and, intercepts, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/x-and-y-intercepts-2", "duration": 205, "translated_title": "x- and y-intercepts 2", "translated_description_html": "X and Y intercepts 2", "id": "26803", "description_html": "X and Y intercepts 2", "title": "x- and y-intercepts 2", "progress_key": "v26803", "edit_slug": "edit/v/26803", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "X and Y intercepts 2", "extra_properties": null, "node_slug": "v/x-and-y-intercepts-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/405boztgZig.mp4/405boztgZig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/405boztgZig.mp4/405boztgZig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/405boztgZig.m3u8/405boztgZig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=405boztgZig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26803", "sha": "ca67edf9efc9d9a7b3de9b30c4b18023e11198ad", "translated_description": "X and Y intercepts 2", "image_url": "https://img.youtube.com/vi/405boztgZig/hqdefault.jpg", "youtube_id": "405boztgZig", "content_kind": "Video", "readable_id": "x-and-y-intercepts-2"}, {"translated_youtube_id": "xiIQQNufFuU", "relative_url": "/video/finding-x-intercept-of-a-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-x-intercept-of-a-line", "duration": 103, "translated_title": "Finding x intercept of a line", "translated_description_html": "", "id": "x6bca96e9", "description_html": "", "title": "Finding x intercept of a line", "progress_key": "vx6bca96e9", "edit_slug": "edit/v/x6bca96e9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/finding-x-intercept-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-10T20:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xiIQQNufFuU.mp4/xiIQQNufFuU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xiIQQNufFuU.mp4/xiIQQNufFuU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xiIQQNufFuU.m3u8/xiIQQNufFuU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xiIQQNufFuU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6bca96e9", "sha": "4575a9d70ad59ea659a84e3799c65521b418ceeb", "translated_description": "", "image_url": "https://img.youtube.com/vi/xiIQQNufFuU/hqdefault.jpg", "youtube_id": "xiIQQNufFuU", "content_kind": "Video", "readable_id": "finding-x-intercept-of-a-line"}, {"translated_youtube_id": "CGZZINHT0I8", "relative_url": "/video/finding-intercepts-for-a-linear-function-from-a-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-intercepts-for-a-linear-function-from-a-table", "duration": 240, "translated_title": "Finding intercepts for a linear function from a table", "translated_description_html": "", "id": "xe3701afe", "description_html": "", "title": "Finding intercepts for a linear function from a table", "progress_key": "vxe3701afe", "edit_slug": "edit/v/xe3701afe", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/finding-intercepts-for-a-linear-function-from-a-table", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T20:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGZZINHT0I8.mp4/CGZZINHT0I8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGZZINHT0I8.mp4/CGZZINHT0I8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGZZINHT0I8.m3u8/CGZZINHT0I8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGZZINHT0I8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe3701afe", "sha": "b4aa235a4319bb20912e4d659df12e66d0236ef9", "translated_description": "", "image_url": "https://img.youtube.com/vi/CGZZINHT0I8/hqdefault.jpg", "youtube_id": "CGZZINHT0I8", "content_kind": "Video", "readable_id": "finding-intercepts-for-a-linear-function-from-a-table"}, {"translated_youtube_id": "RvS5VTV8O88", "relative_url": "/video/interpreting-intercepts-of-linear-functions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-intercepts-of-linear-functions", "duration": 363, "translated_title": "Interpreting intercepts of linear functions", "translated_description_html": "", "id": "xff6df134", "description_html": "", "title": "Interpreting intercepts of linear functions", "progress_key": "vxff6df134", "edit_slug": "edit/v/xff6df134", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-intercepts-of-linear-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T20:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RvS5VTV8O88.mp4/RvS5VTV8O88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RvS5VTV8O88.mp4/RvS5VTV8O88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RvS5VTV8O88.m3u8/RvS5VTV8O88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RvS5VTV8O88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxff6df134", "sha": "b07da454f63e223b0616b04d48bc7ac9d2c37075", "translated_description": "", "image_url": "https://img.youtube.com/vi/RvS5VTV8O88/hqdefault.jpg", "youtube_id": "RvS5VTV8O88", "content_kind": "Video", "readable_id": "interpreting-intercepts-of-linear-functions"}], "twitter_url": "", "translated_description": "There are many ways to graph a line and this tutorial covers one of the simpler ones. Since you only need two points for a line, let's find what value an equation takes on when x = 0 (essentially the y-intercept) and what value it takes on when y = 0 (the x-intercept). Then we can graph the line by going through those two points.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "There are many ways to graph a line and this tutorial covers one of the simpler ones. Since you only need two points for a line, let's find what value an equation takes on when x = 0 (essentially the y-intercept) and what value it takes on when y = 0 (the x-intercept). Then we can graph the line by going through those two points.", "x_pos": 0.0, "node_slug": "graphing_with_intercepts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T20:38:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax034b8f05", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts", "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts", "slug": "graphing_with_intercepts", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de9415d58a0b80b7cf16f95b682a175eb18329c9", "standalone_title": "x-intercepts and y-intercepts of linear functions", "y_pos": 0.0, "current_revision_key": "de9415d58a0b80b7cf16f95b682a175eb18329c9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/proportional-relationships", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/proportional-relationships", "translated_standalone_title": "Proportional relationships", "translated_title": "Proportional relationships", "gplus_url": "", "id": "x5609caff", "old_key_name": null, "hide": false, "title": "Proportional relationships", "child_data": [{"kind": "Video", "id": "x11abdc2d"}, {"kind": "Video", "id": "xfb13ba4e"}, {"kind": "Video", "id": "xcf658b5a"}, {"kind": "Exercise", "id": "x41d29cee"}, {"kind": "Video", "id": "x4c3038cc"}, {"kind": "Video", "id": "x20c99318"}, {"kind": "Exercise", "id": "x5bbd166f"}, {"kind": "Video", "id": "x13c3e512"}, {"kind": "Video", "id": "x5794411e"}, {"kind": "Video", "id": "x683c6b9a"}, {"kind": "Exercise", "id": "xbe07143b"}], "children": [{"translated_youtube_id": "svUt84Touyc", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex1", "duration": 185, "translated_title": "Analyzing and identifying proportional relationships ex1", "translated_description_html": "", "id": "x11abdc2d", "description_html": "", "title": "Analyzing and identifying proportional relationships ex1", "progress_key": "vx11abdc2d", "edit_slug": "edit/v/x11abdc2d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:15:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.mp4/svUt84Touyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.mp4/svUt84Touyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/svUt84Touyc.m3u8/svUt84Touyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=svUt84Touyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx11abdc2d", "sha": "5725a270a7bb43be5955e16c44629437292eb23f", "translated_description": "", "image_url": "https://img.youtube.com/vi/svUt84Touyc/hqdefault.jpg", "youtube_id": "svUt84Touyc", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex1"}, {"translated_youtube_id": "4iUdgr_ccxk", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex2", "duration": 101, "translated_title": "Analyzing and identifying proportional relationships ex2", "translated_description_html": "", "id": "xfb13ba4e", "description_html": "", "title": "Analyzing and identifying proportional relationships ex2", "progress_key": "vxfb13ba4e", "edit_slug": "edit/v/xfb13ba4e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:15:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.mp4/4iUdgr_ccxk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.mp4/4iUdgr_ccxk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4iUdgr_ccxk.m3u8/4iUdgr_ccxk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4iUdgr_ccxk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfb13ba4e", "sha": "e6ca5b710b1369ed0341f3571a95b6186710e528", "translated_description": "", "image_url": "https://img.youtube.com/vi/4iUdgr_ccxk/hqdefault.jpg", "youtube_id": "4iUdgr_ccxk", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex2"}, {"translated_youtube_id": "jNUz0P5MG9M", "relative_url": "/video/analyzing-and-identifying-proportional-relationships-ex3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/analyzing-and-identifying-proportional-relationships-ex3", "duration": 63, "translated_title": "Analyzing and identifying proportional relationships ex3", "translated_description_html": "", "id": "xcf658b5a", "description_html": "", "title": "Analyzing and identifying proportional relationships ex3", "progress_key": "vxcf658b5a", "edit_slug": "edit/v/xcf658b5a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/analyzing-and-identifying-proportional-relationships-ex3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-27T00:15:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.mp4/jNUz0P5MG9M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.mp4/jNUz0P5MG9M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jNUz0P5MG9M.m3u8/jNUz0P5MG9M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jNUz0P5MG9M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcf658b5a", "sha": "6d56f8993242258134650b8d5684ef235ba292d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/jNUz0P5MG9M/hqdefault.jpg", "youtube_id": "jNUz0P5MG9M", "content_kind": "Video", "readable_id": "analyzing-and-identifying-proportional-relationships-ex3"}, {"translated_youtube_id": "b-w0S0EBsfQ", "relative_url": "/video/comparing-proportional-relationships", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships", "duration": 417, "translated_title": "Comparing proportional relationships", "translated_description_html": "", "id": "x4c3038cc", "description_html": "", "title": "Comparing proportional relationships", "progress_key": "vx4c3038cc", "edit_slug": "edit/v/x4c3038cc", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-27T00:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.mp4/b-w0S0EBsfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.mp4/b-w0S0EBsfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-w0S0EBsfQ.m3u8/b-w0S0EBsfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-w0S0EBsfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4c3038cc", "sha": "2821cdcba3bd10a1f536754488676dc280608dbf", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-w0S0EBsfQ/hqdefault.jpg", "youtube_id": "b-w0S0EBsfQ", "content_kind": "Video", "readable_id": "comparing-proportional-relationships"}, {"translated_youtube_id": "dBGeri4eFv4", "relative_url": "/video/constructing-an-equation-for-a-proportional-relationship", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-an-equation-for-a-proportional-relationship", "duration": 167, "translated_title": "Constructing an equation for a proportional relationship", "translated_description_html": "", "id": "x20c99318", "description_html": "", "title": "Constructing an equation for a proportional relationship", "progress_key": "vx20c99318", "edit_slug": "edit/v/x20c99318", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-an-equation-for-a-proportional-relationship", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-27T00:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.mp4/dBGeri4eFv4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.mp4/dBGeri4eFv4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dBGeri4eFv4.m3u8/dBGeri4eFv4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dBGeri4eFv4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx20c99318", "sha": "ba7bf830bf5f0d8b6f02a15eb10e941346243b5b", "translated_description": "", "image_url": "https://img.youtube.com/vi/dBGeri4eFv4/hqdefault.jpg", "youtube_id": "dBGeri4eFv4", "content_kind": "Video", "readable_id": "constructing-an-equation-for-a-proportional-relationship"}, {"translated_youtube_id": "1F7LAJEVp-U", "relative_url": "/video/graphing-proportional-relationships-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example", "duration": 271, "translated_title": "Graphing proportional relationships example", "translated_description_html": "", "id": "x13c3e512", "description_html": "", "title": "Graphing proportional relationships example", "progress_key": "vx13c3e512", "edit_slug": "edit/v/x13c3e512", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-09T22:30:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.mp4/1F7LAJEVp-U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.mp4/1F7LAJEVp-U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1F7LAJEVp-U.m3u8/1F7LAJEVp-U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1F7LAJEVp-U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13c3e512", "sha": "5c220c839d54ea7eda880f44be366db90f2812d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/1F7LAJEVp-U/hqdefault.jpg", "youtube_id": "1F7LAJEVp-U", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example"}, {"translated_youtube_id": "R32xBmxXj2E", "relative_url": "/video/graphing-proportional-relationships-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example-2", "duration": 72, "translated_title": "Graphing proportional relationships example 2", "translated_description_html": "", "id": "x5794411e", "description_html": "", "title": "Graphing proportional relationships example 2", "progress_key": "vx5794411e", "edit_slug": "edit/v/x5794411e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-09T22:30:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.mp4/R32xBmxXj2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.mp4/R32xBmxXj2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R32xBmxXj2E.m3u8/R32xBmxXj2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R32xBmxXj2E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5794411e", "sha": "cee28010f899dc597ca337e2e7c17b8e51c884b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/R32xBmxXj2E/hqdefault.jpg", "youtube_id": "R32xBmxXj2E", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example-2"}, {"translated_youtube_id": "LoKEPEPaNm4", "relative_url": "/video/graphing-proportional-relationships-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-proportional-relationships-example-3", "duration": 189, "translated_title": "Graphing proportional relationships example 3", "translated_description_html": "", "id": "x683c6b9a", "description_html": "", "title": "Graphing proportional relationships example 3", "progress_key": "vx683c6b9a", "edit_slug": "edit/v/x683c6b9a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/graphing-proportional-relationships-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-09T22:30:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.mp4/LoKEPEPaNm4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.mp4/LoKEPEPaNm4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LoKEPEPaNm4.m3u8/LoKEPEPaNm4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LoKEPEPaNm4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx683c6b9a", "sha": "f5224544cd08a84b1ff4192824f6334277e1f26b", "translated_description": "", "image_url": "https://img.youtube.com/vi/LoKEPEPaNm4/hqdefault.jpg", "youtube_id": "LoKEPEPaNm4", "content_kind": "Video", "readable_id": "graphing-proportional-relationships-example-3"}], "twitter_url": "", "translated_description": "In this tutorial we'll think deeper about how one variable changes with respect to another. Pay attention because you'll find that these ideas will keep popping up in your life!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll think deeper about how one variable changes with respect to another. Pay attention because you'll find that these ideas will keep popping up in your life!", "x_pos": 0.0, "node_slug": "proportional-relationships", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5609caff", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/proportional-relationships", "extended_slug": "math/algebra/linear-equations-and-inequalitie/proportional-relationships", "slug": "proportional-relationships", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "93273c71e942bd2e17d07c6ed547d5caf7d6a2aa", "standalone_title": "Proportional relationships", "y_pos": 0.0, "current_revision_key": "93273c71e942bd2e17d07c6ed547d5caf7d6a2aa", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/rates-proportional", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/rates-proportional", "translated_standalone_title": "Rates for proportional relationships", "translated_title": "Rates for proportional relationships", "gplus_url": "", "id": "x6a880de7", "old_key_name": null, "hide": false, "title": "Rates for proportional relationships", "child_data": [{"kind": "Video", "id": "xedb42f94"}, {"kind": "Video", "id": "x1ce04c40"}, {"kind": "Exercise", "id": "x369cc7ab"}, {"kind": "Video", "id": "xe876d1a7"}, {"kind": "Video", "id": "x14bc6c1b"}, {"kind": "Exercise", "id": 23890544}], "children": [{"translated_youtube_id": "kHQCDrWTDv8", "relative_url": "/video/comparing-proportional-relationships-exercise-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships-exercise-2", "duration": 85, "translated_title": "Comparing rates", "translated_description_html": "", "id": "xedb42f94", "description_html": "", "title": "Comparing rates", "progress_key": "vxedb42f94", "edit_slug": "edit/v/xedb42f94", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships-exercise-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-17T00:07:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.mp4/kHQCDrWTDv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.mp4/kHQCDrWTDv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kHQCDrWTDv8.m3u8/kHQCDrWTDv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kHQCDrWTDv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedb42f94", "sha": "ca4d13da9eca485f912f6d95261d2e62f9c330fa", "translated_description": "", "image_url": "https://img.youtube.com/vi/kHQCDrWTDv8/hqdefault.jpg", "youtube_id": "kHQCDrWTDv8", "content_kind": "Video", "readable_id": "comparing-proportional-relationships-exercise-2"}, {"translated_youtube_id": "F6rtQczAYco", "relative_url": "/video/comparing-proportional-relationships-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-proportional-relationships-exercise", "duration": 199, "translated_title": "Representing and comparing rates", "translated_description_html": "", "id": "x1ce04c40", "description_html": "", "title": "Representing and comparing rates", "progress_key": "vx1ce04c40", "edit_slug": "edit/v/x1ce04c40", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-proportional-relationships-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T00:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.mp4/F6rtQczAYco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.mp4/F6rtQczAYco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F6rtQczAYco.m3u8/F6rtQczAYco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F6rtQczAYco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1ce04c40", "sha": "d03d775a48149ee4dd2cbcbf1821c988832ff41d", "translated_description": "", "image_url": "https://img.youtube.com/vi/F6rtQczAYco/hqdefault.jpg", "youtube_id": "F6rtQczAYco", "content_kind": "Video", "readable_id": "comparing-proportional-relationships-exercise"}, {"translated_youtube_id": "d8vvVjfTbYY", "relative_url": "/video/rate-problem-with-fractions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rate-problem-with-fractions-1", "duration": 176, "translated_title": "Rate problem with fractions 1", "translated_description_html": "", "id": "xe876d1a7", "description_html": "", "title": "Rate problem with fractions 1", "progress_key": "vxe876d1a7", "edit_slug": "edit/v/xe876d1a7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rate-problem-with-fractions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-17T14:28:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.mp4/d8vvVjfTbYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.mp4/d8vvVjfTbYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8vvVjfTbYY.m3u8/d8vvVjfTbYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d8vvVjfTbYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe876d1a7", "sha": "4e85bf97b077781d6fc93626d75ce98a3a138325", "translated_description": "", "image_url": "https://img.youtube.com/vi/d8vvVjfTbYY/hqdefault.jpg", "youtube_id": "d8vvVjfTbYY", "content_kind": "Video", "readable_id": "rate-problem-with-fractions-1"}, {"translated_youtube_id": "HYYGGKChMDE", "relative_url": "/video/unit-cost-with-fractions-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-cost-with-fractions-1", "duration": 221, "translated_title": "Unit cost with fractions 1", "translated_description_html": "", "id": "x14bc6c1b", "description_html": "", "title": "Unit cost with fractions 1", "progress_key": "vx14bc6c1b", "edit_slug": "edit/v/x14bc6c1b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/unit-cost-with-fractions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-17T14:28:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.mp4/HYYGGKChMDE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.mp4/HYYGGKChMDE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HYYGGKChMDE.m3u8/HYYGGKChMDE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HYYGGKChMDE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14bc6c1b", "sha": "8bc2f07b9784f7fcc317b3638ed4567699367ec9", "translated_description": "", "image_url": "https://img.youtube.com/vi/HYYGGKChMDE/hqdefault.jpg", "youtube_id": "HYYGGKChMDE", "content_kind": "Video", "readable_id": "unit-cost-with-fractions-1"}], "twitter_url": "", "translated_description": "In proportional relationships, the ratio between one variable and the other is always constant. In the context of rate problems, this constant ratio can also be considered a rate of change. This tutorial allows you dig deeper into this idea.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In proportional relationships, the ratio between one variable and the other is always constant. In the context of rate problems, this constant ratio can also be considered a rate of change. This tutorial allows you dig deeper into this idea.", "x_pos": 0.0, "node_slug": "rates-proportional", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6a880de7", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/rates-proportional", "extended_slug": "math/algebra/linear-equations-and-inequalitie/rates-proportional", "slug": "rates-proportional", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85c31b6b4d5a893cba6f676bbe9d02d4bfe9d072", "standalone_title": "Rates for proportional relationships", "y_pos": 0.0, "current_revision_key": "85c31b6b4d5a893cba6f676bbe9d02d4bfe9d072", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", "translated_standalone_title": "Slope", "translated_title": "Slope", "gplus_url": "", "id": "x13677c62", "old_key_name": "feECU5iELhJJhiw_VW8p5o6DmcGias5gfXZuAiIo", "hide": false, "title": "Slope", "child_data": [{"kind": "Video", "id": 26800}, {"kind": "Video", "id": 33752752}, {"kind": "Video", "id": 23636}, {"kind": "Video", "id": 33752751}, {"kind": "Video", "id": 33752753}, {"kind": "Video", "id": 26801}, {"kind": "Exercise", "id": 20874}, {"kind": "Video", "id": 23448}, {"kind": "Video", "id": "x4d473b5b"}, {"kind": "Exercise", "id": 21374}, {"kind": "Separator", "id": "_separator"}], "children": [{"translated_youtube_id": "R948Tsyq4vA", "relative_url": "/video/slope-of-a-line", "has_questions": false, "keywords": "U04_L1_T1_we1, Slope, of, line, CC_8_EE_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line", "duration": 280, "translated_title": "Slope of a line", "translated_description_html": "Slope of a line", "id": "26800", "description_html": "Slope of a line", "title": "Slope of a line", "progress_key": "v26800", "edit_slug": "edit/v/26800", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a line", "extra_properties": null, "node_slug": "v/slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.m3u8/R948Tsyq4vA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R948Tsyq4vA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26800", "sha": "2e28524814fb0b29b1be674ff0d7b20ffd08288a", "translated_description": "Slope of a line", "image_url": "https://img.youtube.com/vi/R948Tsyq4vA/hqdefault.jpg", "youtube_id": "R948Tsyq4vA", "content_kind": "Video", "readable_id": "slope-of-a-line"}, {"translated_youtube_id": "WkspBxrzuZo", "relative_url": "/video/slope-of-a-line-2", "has_questions": false, "keywords": "u13_l2_t1_we2, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-2", "duration": 432, "translated_title": "Slope of a line 2", "translated_description_html": "Slope of a Line 2", "id": "33752752", "description_html": "Slope of a Line 2", "title": "Slope of a line 2", "progress_key": "v33752752", "edit_slug": "edit/v/33752752", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 2", "extra_properties": null, "node_slug": "v/slope-of-a-line-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.m3u8/WkspBxrzuZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WkspBxrzuZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752752", "sha": "c1d57e2abf3c543811f8904778a0f5a3a52e3f24", "translated_description": "Slope of a Line 2", "image_url": "https://img.youtube.com/vi/WkspBxrzuZo/hqdefault.jpg", "youtube_id": "WkspBxrzuZo", "content_kind": "Video", "readable_id": "slope-of-a-line-2"}, {"translated_youtube_id": "Iqws-qzyZwc", "relative_url": "/video/slope-and-rate-of-change", "has_questions": false, "keywords": "SlopeAndRateOfChange, CC_8_EE_6, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/slope-and-rate-of-change", "duration": 822, "translated_title": "Slope and rate of change", "translated_description_html": null, "id": "23636", "description_html": null, "title": "Slope and rate of change", "progress_key": "v23636", "edit_slug": "edit/v/23636", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/slope-and-rate-of-change", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.m3u8/Iqws-qzyZwc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iqws-qzyZwc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23636", "sha": "07c5b6d44a72546e6bb192cef940802044ccea03", "translated_description": null, "image_url": "https://img.youtube.com/vi/Iqws-qzyZwc/hqdefault.jpg", "youtube_id": "Iqws-qzyZwc", "content_kind": "Video", "readable_id": "slope-and-rate-of-change"}, {"translated_youtube_id": "81SseQCpGws", "relative_url": "/video/graphical-slope-of-a-line", "has_questions": false, "keywords": "u13_l2_t1_we1, Graphical, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/graphical-slope-of-a-line", "duration": 240, "translated_title": "Graphical slope of a line", "translated_description_html": "Graphical Slope of a Line", "id": "33752751", "description_html": "Graphical Slope of a Line", "title": "Graphical slope of a line", "progress_key": "v33752751", "edit_slug": "edit/v/33752751", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphical Slope of a Line", "extra_properties": null, "node_slug": "v/graphical-slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.m3u8/81SseQCpGws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=81SseQCpGws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752751", "sha": "f7f48d5609a478158879cccb946f001f61d63e80", "translated_description": "Graphical Slope of a Line", "image_url": "https://img.youtube.com/vi/81SseQCpGws/hqdefault.jpg", "youtube_id": "81SseQCpGws", "content_kind": "Video", "readable_id": "graphical-slope-of-a-line"}, {"translated_youtube_id": "CFSHq099Mx0", "relative_url": "/video/slope-of-a-line-3", "has_questions": false, "keywords": "u13_l2_t1_we3, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_1, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-3", "duration": 305, "translated_title": "Slope of a line 3", "translated_description_html": "Slope of a Line 3", "id": "33752753", "description_html": "Slope of a Line 3", "title": "Slope of a line 3", "progress_key": "v33752753", "edit_slug": "edit/v/33752753", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 3", "extra_properties": null, "node_slug": "v/slope-of-a-line-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.m3u8/CFSHq099Mx0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CFSHq099Mx0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752753", "sha": "0a6c9b4196aedc7a85e6e719c199901f048fd362", "translated_description": "Slope of a Line 3", "image_url": "https://img.youtube.com/vi/CFSHq099Mx0/hqdefault.jpg", "youtube_id": "CFSHq099Mx0", "content_kind": "Video", "readable_id": "slope-of-a-line-3"}, {"translated_youtube_id": "jTCZfMMcHBo", "relative_url": "/video/slope-example", "has_questions": false, "keywords": "U04_L1_T1_we2, Slope, Example, CC_8_EE_5, CC_39336_F-LE_1_b", "ka_url": "http://www.khanacademy.org/video/slope-example", "duration": 243, "translated_title": "Slope example", "translated_description_html": "Slope Example", "id": "26801", "description_html": "Slope Example", "title": "Slope example", "progress_key": "v26801", "edit_slug": "edit/v/26801", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope Example", "extra_properties": null, "node_slug": "v/slope-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.mp4/jTCZfMMcHBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.mp4/jTCZfMMcHBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jTCZfMMcHBo.m3u8/jTCZfMMcHBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jTCZfMMcHBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26801", "sha": "d9d3b68cf4ee97a08f5cdae4bc717634f1aa0b65", "translated_description": "Slope Example", "image_url": "https://img.youtube.com/vi/jTCZfMMcHBo/hqdefault.jpg", "youtube_id": "jTCZfMMcHBo", "content_kind": "Video", "readable_id": "slope-example"}, {"translated_youtube_id": "8sz1IPjBRS8", "relative_url": "/video/slope-and-y-intercept-intuition", "has_questions": false, "keywords": "slope, y-intercept, graph", "ka_url": "http://www.khanacademy.org/video/slope-and-y-intercept-intuition", "duration": 354, "translated_title": "Slope and y-intercept intuition", "translated_description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "id": "23448", "description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "title": "Slope and y-intercept intuition", "progress_key": "v23448", "edit_slug": "edit/v/23448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "extra_properties": null, "node_slug": "v/slope-and-y-intercept-intuition", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.m3u8/8sz1IPjBRS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8sz1IPjBRS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23448", "sha": "1932940a0e603cfd2e72405f0291eab5cfe97b06", "translated_description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "image_url": "https://img.youtube.com/vi/8sz1IPjBRS8/hqdefault.jpg", "youtube_id": "8sz1IPjBRS8", "content_kind": "Video", "readable_id": "slope-and-y-intercept-intuition"}, {"translated_youtube_id": "6_9xNMtwnfs", "relative_url": "/video/slope-intuition-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-intuition-example", "duration": 155, "translated_title": "Intuitive understanding of slope example", "translated_description_html": "", "id": "x4d473b5b", "description_html": "", "title": "Intuitive understanding of slope example", "progress_key": "vx4d473b5b", "edit_slug": "edit/v/x4d473b5b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-intuition-example", "deleted": false, "backup_timestamp": "2013-11-06T01:12:54Z", "date_added": "2013-11-06T01:12:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6_9xNMtwnfs.mp4/6_9xNMtwnfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6_9xNMtwnfs.mp4/6_9xNMtwnfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6_9xNMtwnfs.m3u8/6_9xNMtwnfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6_9xNMtwnfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d473b5b", "sha": "59d2c614dd4da22f81c26fe1b648ee690e47d2bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/6_9xNMtwnfs/hqdefault.jpg", "youtube_id": "6_9xNMtwnfs", "content_kind": "Video", "readable_id": "slope-intuition-example"}], "twitter_url": "", "translated_description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", "x_pos": 0.0, "node_slug": "slope-and-intercepts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax13677c62", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", "extended_slug": "math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", "slug": "slope-and-intercepts", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b53a6b2f17ca3022cc42803b12fe4cf7ce84b959", "standalone_title": "Slope", "y_pos": 0.0, "current_revision_key": "b53a6b2f17ca3022cc42803b12fe4cf7ce84b959", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/graphing-slope-intercept", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing-slope-intercept", "translated_standalone_title": "Graphing linear equations in slope-intercept form", "translated_title": "Graphing linear equations in slope-intercept form", "gplus_url": "", "id": "xf49f4a11", "old_key_name": null, "hide": false, "title": "Graphing linear equations in slope-intercept form", "child_data": [{"kind": "Video", "id": 26804}, {"kind": "Video", "id": 26806}, {"kind": "Exercise", "id": 379057519}, {"kind": "Video", "id": 23654}], "children": [{"translated_youtube_id": "uk7gS3cZVp4", "relative_url": "/video/graphing-a-line-in-slope-intercept-form", "has_questions": false, "keywords": "U04_L1_T3_we1, Graphing, line, in, slope, intercept, form, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphing-a-line-in-slope-intercept-form", "duration": 182, "translated_title": "Graphing a line in slope intercept form", "translated_description_html": "Graphing a line in slope intercept form", "id": "26804", "description_html": "Graphing a line in slope intercept form", "title": "Graphing a line in slope intercept form", "progress_key": "v26804", "edit_slug": "edit/v/26804", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a line in slope intercept form", "extra_properties": null, "node_slug": "v/graphing-a-line-in-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.m3u8/uk7gS3cZVp4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uk7gS3cZVp4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26804", "sha": "84bc4cb73b813ecff2ee89a3581662757c2a95fa", "translated_description": "Graphing a line in slope intercept form", "image_url": "https://img.youtube.com/vi/uk7gS3cZVp4/hqdefault.jpg", "youtube_id": "uk7gS3cZVp4", "content_kind": "Video", "readable_id": "graphing-a-line-in-slope-intercept-form"}, {"translated_youtube_id": "V6Xynlqc_tc", "relative_url": "/video/converting-to-slope-intercept-form", "has_questions": false, "keywords": "U04_L1_T4_we1, Converting, to, slope-intercept, form, CC_8_EE_5, CC_8_EE_8, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/converting-to-slope-intercept-form", "duration": 307, "translated_title": "Converting to slope-intercept form", "translated_description_html": "Converting to slope-intercept form", "id": "26806", "description_html": "Converting to slope-intercept form", "title": "Converting to slope-intercept form", "progress_key": "v26806", "edit_slug": "edit/v/26806", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting to slope-intercept form", "extra_properties": null, "node_slug": "v/converting-to-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.m3u8/V6Xynlqc_tc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V6Xynlqc_tc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26806", "sha": "4eadbd73a2f8058dde6c33df03fcb79e99d28e7e", "translated_description": "Converting to slope-intercept form", "image_url": "https://img.youtube.com/vi/V6Xynlqc_tc/hqdefault.jpg", "youtube_id": "V6Xynlqc_tc", "content_kind": "Video", "readable_id": "converting-to-slope-intercept-form"}, {"translated_youtube_id": "OhUkMQtBGmE", "relative_url": "/video/fitting-a-line-to-data", "has_questions": false, "keywords": "Fitting, Line, to, Data, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/fitting-a-line-to-data", "duration": 468, "translated_title": "Fitting a line to data", "translated_description_html": "", "id": "23654", "description_html": "", "title": "Fitting a line to data", "progress_key": "v23654", "edit_slug": "edit/v/23654", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fitting-a-line-to-data", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.mp4/OhUkMQtBGmE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.mp4/OhUkMQtBGmE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.m3u8/OhUkMQtBGmE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OhUkMQtBGmE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23654", "sha": "120b6f67790bd895090b6734c0834b91da72dba8", "translated_description": "", "image_url": "https://img.youtube.com/vi/OhUkMQtBGmE/hqdefault.jpg", "youtube_id": "OhUkMQtBGmE", "content_kind": "Video", "readable_id": "fitting-a-line-to-data"}], "twitter_url": "", "translated_description": "Math is beautiful because there are so many way to appreciate the same relationship. In this tutorial, we'll use our knowledge of slope to actually graph lines that have been expressed in slope-intercept form.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Math is beautiful because there are so many way to appreciate the same relationship. In this tutorial, we'll use our knowledge of slope to actually graph lines that have been expressed in slope-intercept form.", "x_pos": 0.0, "node_slug": "graphing-slope-intercept", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:59:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf49f4a11", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing-slope-intercept", "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing-slope-intercept", "slug": "graphing-slope-intercept", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dc7d4956cd179db1a595b89efdcb03d9a07280e3", "standalone_title": "Graphing linear equations in slope-intercept form", "y_pos": 0.0, "current_revision_key": "dc7d4956cd179db1a595b89efdcb03d9a07280e3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line", "translated_standalone_title": "Constructing equations in slope-intercept form", "translated_title": "Constructing equations in slope-intercept form", "gplus_url": "", "id": "xc20d9d20", "old_key_name": "u-R9SwEaZKSEiqEe2i4SmiIAHRmanGXt-oo8JCM1", "hide": false, "title": "Constructing equations in slope-intercept form", "child_data": [{"kind": "Video", "id": 23646}, {"kind": "Video", "id": 23638}, {"kind": "Video", "id": 23644}, {"kind": "Video", "id": 33752754}, {"kind": "Video", "id": 33752755}, {"kind": "Video", "id": 466052138}, {"kind": "Video", "id": 33752756}, {"kind": "Video", "id": "x81716b8c"}, {"kind": "Exercise", "id": 2021}, {"kind": "Video", "id": "xdf2c138e"}, {"kind": "Exercise", "id": 523026328}], "children": [{"translated_youtube_id": "5fkh01mClLU", "relative_url": "/video/linear-equations-in-slope-intercept-form", "has_questions": false, "keywords": "Linear, Equations, in, Slope, Intercept, Form, CC_8_EE_6, CC_8_F_3, CC_8_F_4", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-slope-intercept-form", "duration": 898, "translated_title": "Multiple examples of constructing linear equations in slope-intercept form", "translated_description_html": "

Linear Equations in Slope Intercept Form<\/p>\n", "id": "23646", "description_html": "

Linear Equations in Slope Intercept Form<\/p>\n", "title": "Multiple examples of constructing linear equations in slope-intercept form", "progress_key": "v23646", "edit_slug": "edit/v/23646", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Slope Intercept Form\n", "extra_properties": {"original_url": ""}, "node_slug": "v/linear-equations-in-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.mp4/5fkh01mClLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.mp4/5fkh01mClLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.m3u8/5fkh01mClLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fkh01mClLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23646", "sha": "c8f239ce6ce573eb315e12b510c6cee051ad8c4f", "translated_description": "Linear Equations in Slope Intercept Form\n", "image_url": "https://img.youtube.com/vi/5fkh01mClLU/hqdefault.jpg", "youtube_id": "5fkh01mClLU", "content_kind": "Video", "readable_id": "linear-equations-in-slope-intercept-form"}, {"translated_youtube_id": "9wOalujeZf4", "relative_url": "/video/graphs-using-slope-intercept-form", "has_questions": false, "keywords": "Graphs, Using, Slope, Intercept, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphs-using-slope-intercept-form", "duration": 671, "translated_title": "Constructing equations in slope-intercept form from graphs", "translated_description_html": "", "id": "23638", "description_html": "", "title": "Constructing equations in slope-intercept form from graphs", "progress_key": "v23638", "edit_slug": "edit/v/23638", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphs-using-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.mp4/9wOalujeZf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.mp4/9wOalujeZf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.m3u8/9wOalujeZf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9wOalujeZf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23638", "sha": "5158bc208dca235bd9ee0fc98b00836c82981fe9", "translated_description": "", "image_url": "https://img.youtube.com/vi/9wOalujeZf4/hqdefault.jpg", "youtube_id": "9wOalujeZf4", "content_kind": "Video", "readable_id": "graphs-using-slope-intercept-form"}, {"translated_youtube_id": "5EdbPz1ZVn0", "relative_url": "/video/word-problem-solving-4", "has_questions": false, "keywords": "Word, Problem, Solving", "ka_url": "http://www.khanacademy.org/video/word-problem-solving-4", "duration": 605, "translated_title": "Constructing linear equations to solve word problems", "translated_description_html": "

Constructing linear equations to solve word problems<\/p>\n", "id": "23644", "description_html": "

Constructing linear equations to solve word problems<\/p>\n", "title": "Constructing linear equations to solve word problems", "progress_key": "v23644", "edit_slug": "edit/v/23644", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Constructing linear equations to solve word problems\n", "extra_properties": {"original_url": ""}, "node_slug": "v/word-problem-solving-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.mp4/5EdbPz1ZVn0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.mp4/5EdbPz1ZVn0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.m3u8/5EdbPz1ZVn0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5EdbPz1ZVn0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23644", "sha": "8730af9d97d04c08b08aa8164c5173ac04f08345", "translated_description": "Constructing linear equations to solve word problems\n", "image_url": "https://img.youtube.com/vi/5EdbPz1ZVn0/hqdefault.jpg", "youtube_id": "5EdbPz1ZVn0", "content_kind": "Video", "readable_id": "word-problem-solving-4"}, {"translated_youtube_id": "AqFwKecNaTk", "relative_url": "/video/equation-of-a-line-1", "has_questions": false, "keywords": "u13_l2_t2_we1, Equation, of, line, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-1", "duration": 226, "translated_title": "Linear equation from slope and a point", "translated_description_html": "

Equation of a line<\/p>\n", "id": "33752754", "description_html": "

Equation of a line<\/p>\n", "title": "Linear equation from slope and a point", "progress_key": "v33752754", "edit_slug": "edit/v/33752754", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.m3u8/AqFwKecNaTk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AqFwKecNaTk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752754", "sha": "208b0af5356dd0e7300762c661c763ea2f6b1afc", "translated_description": "Equation of a line\n", "image_url": "https://img.youtube.com/vi/AqFwKecNaTk/hqdefault.jpg", "youtube_id": "AqFwKecNaTk", "content_kind": "Video", "readable_id": "equation-of-a-line-1"}, {"translated_youtube_id": "MxiqyE2uMCo", "relative_url": "/video/equation-of-a-line-2", "has_questions": false, "keywords": "u13_l2_t2_we2, Equation, of, line, CC_8_EE_6, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-2", "duration": 237, "translated_title": "Finding a linear equation given a point and slope", "translated_description_html": "

Equation of a line 2<\/p>\n", "id": "33752755", "description_html": "

Equation of a line 2<\/p>\n", "title": "Finding a linear equation given a point and slope", "progress_key": "v33752755", "edit_slug": "edit/v/33752755", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.m3u8/MxiqyE2uMCo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MxiqyE2uMCo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752755", "sha": "9548ed09706679c63ce451dbd89d24f6bc5401e1", "translated_description": "Equation of a line 2\n", "image_url": "https://img.youtube.com/vi/MxiqyE2uMCo/hqdefault.jpg", "youtube_id": "MxiqyE2uMCo", "content_kind": "Video", "readable_id": "equation-of-a-line-2"}, {"translated_youtube_id": "k8EfLFvUI5U", "relative_url": "/video/equation-of-a-line-hairier-example", "has_questions": false, "keywords": "u13, l2, t2, we, INT, Equation, of, Line, hairier, example", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-hairier-example", "duration": 204, "translated_title": "Equation of a line from fractional slope and point", "translated_description_html": "

u13 l2 t2 we INT Equation of a Line hairier example<\/p>\n", "id": "466052138", "description_html": "

u13 l2 t2 we INT Equation of a Line hairier example<\/p>\n", "title": "Equation of a line from fractional slope and point", "progress_key": "v466052138", "edit_slug": "edit/v/466052138", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "u13 l2 t2 we INT Equation of a Line hairier example\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-hairier-example", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k8EfLFvUI5U.mp4/k8EfLFvUI5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k8EfLFvUI5U.mp4/k8EfLFvUI5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k8EfLFvUI5U.m3u8/k8EfLFvUI5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k8EfLFvUI5U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466052138", "sha": "caa8f70a079e3ce88204068ba97ad13ce974bbd4", "translated_description": "u13 l2 t2 we INT Equation of a Line hairier example\n", "image_url": "https://img.youtube.com/vi/k8EfLFvUI5U/hqdefault.jpg", "youtube_id": "k8EfLFvUI5U", "content_kind": "Video", "readable_id": "equation-of-a-line-hairier-example"}, {"translated_youtube_id": "XMJ72mtMn4Y", "relative_url": "/video/equation-of-a-line-3", "has_questions": false, "keywords": "u13_l2_t2_we3, Equation, of, line, CC_8_EE_6, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-3", "duration": 402, "translated_title": "Constructing the equation of a line given two points", "translated_description_html": "

Equation of a line 3<\/p>\n", "id": "33752756", "description_html": "

Equation of a line 3<\/p>\n", "title": "Constructing the equation of a line given two points", "progress_key": "v33752756", "edit_slug": "edit/v/33752756", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line 3\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.m3u8/XMJ72mtMn4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMJ72mtMn4Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752756", "sha": "6c52fcf1538a5b8d61ce9b68d0f1337418847d50", "translated_description": "Equation of a line 3\n", "image_url": "https://img.youtube.com/vi/XMJ72mtMn4Y/hqdefault.jpg", "youtube_id": "XMJ72mtMn4Y", "content_kind": "Video", "readable_id": "equation-of-a-line-3"}, {"translated_youtube_id": "KV_XLL4K2Fw", "relative_url": "/video/finding-y-intercept-given-slope-and-point", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-y-intercept-given-slope-and-point", "duration": 120, "translated_title": "Finding y intercept given slope and point", "translated_description_html": "", "id": "x81716b8c", "description_html": "", "title": "Finding y intercept given slope and point", "progress_key": "vx81716b8c", "edit_slug": "edit/v/x81716b8c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-y-intercept-given-slope-and-point", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-08T01:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KV_XLL4K2Fw.mp4/KV_XLL4K2Fw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KV_XLL4K2Fw.mp4/KV_XLL4K2Fw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KV_XLL4K2Fw.m3u8/KV_XLL4K2Fw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KV_XLL4K2Fw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx81716b8c", "sha": "f79975547347f64cabe949169c454f30cadb579f", "translated_description": "", "image_url": "https://img.youtube.com/vi/KV_XLL4K2Fw/hqdefault.jpg", "youtube_id": "KV_XLL4K2Fw", "content_kind": "Video", "readable_id": "finding-y-intercept-given-slope-and-point"}, {"translated_youtube_id": "3Ayt7mOd_To", "relative_url": "/video/slope-intercept-form-from-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-intercept-form-from-table", "duration": 266, "translated_title": "Slope intercept form from table", "translated_description_html": "", "id": "xdf2c138e", "description_html": "", "title": "Slope intercept form from table", "progress_key": "vxdf2c138e", "edit_slug": "edit/v/xdf2c138e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/slope-intercept-form-from-table", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-08T01:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Ayt7mOd_To.mp4/3Ayt7mOd_To.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Ayt7mOd_To.mp4/3Ayt7mOd_To.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Ayt7mOd_To.m3u8/3Ayt7mOd_To.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Ayt7mOd_To&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf2c138e", "sha": "5a68b50e98c24f887022fb112c1e1657b9465f59", "translated_description": "", "image_url": "https://img.youtube.com/vi/3Ayt7mOd_To/hqdefault.jpg", "youtube_id": "3Ayt7mOd_To", "content_kind": "Video", "readable_id": "slope-intercept-form-from-table"}], "twitter_url": "", "translated_description": "You know a bit about slope and intercepts. Now we will develop that know-how even further to construct the equation of a line in slope-intercept form.\n\n", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know a bit about slope and intercepts. Now we will develop that know-how even further to construct the equation of a line in slope-intercept form.\n\n", "x_pos": 0.0, "node_slug": "equation-of-a-line", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc20d9d20", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line", "extended_slug": "math/algebra/linear-equations-and-inequalitie/equation-of-a-line", "slug": "equation-of-a-line", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0503963c1321daf2fbe5e6d0f66f5e62c3479f5a", "standalone_title": "Constructing equations in slope-intercept form", "y_pos": 0.0, "current_revision_key": "0503963c1321daf2fbe5e6d0f66f5e62c3479f5a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/point-slope-form", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/point-slope-form", "translated_standalone_title": "Point-slope form and standard form", "translated_title": "Point-slope form and standard form", "gplus_url": "", "id": "xb6bf53cc", "old_key_name": null, "hide": false, "title": "Point-slope form and standard form", "child_data": [{"kind": "Video", "id": "x917b105d"}, {"kind": "Video", "id": 23648}, {"kind": "Exercise", "id": 415258028}, {"kind": "Video", "id": 23650}, {"kind": "Video", "id": 26807}, {"kind": "Exercise", "id": 348018382}, {"kind": "Video", "id": "xca0379de"}, {"kind": "Exercise", "id": 523015520}], "children": [{"translated_youtube_id": "K_OI9LA54AA", "relative_url": "/video/idea-behind-point-slope-form", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/idea-behind-point-slope-form", "duration": 367, "translated_title": "Idea behind point slope form", "translated_description_html": "", "id": "x917b105d", "description_html": "", "title": "Idea behind point slope form", "progress_key": "vx917b105d", "edit_slug": "edit/v/x917b105d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/idea-behind-point-slope-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K_OI9LA54AA.mp4/K_OI9LA54AA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K_OI9LA54AA.mp4/K_OI9LA54AA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K_OI9LA54AA.m3u8/K_OI9LA54AA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K_OI9LA54AA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx917b105d", "sha": "77b33a65c1b56fb5f80c2a01dd39a6282784db70", "translated_description": "", "image_url": "https://img.youtube.com/vi/K_OI9LA54AA/hqdefault.jpg", "youtube_id": "K_OI9LA54AA", "content_kind": "Video", "readable_id": "idea-behind-point-slope-form"}, {"translated_youtube_id": "zqCokP2vDGo", "relative_url": "/video/linear-equations-in-point-slope-form", "has_questions": false, "keywords": "Linear, Equations, in, Point, Slope, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-point-slope-form", "duration": 578, "translated_title": "Linear equations in point slope form", "translated_description_html": "Linear Equations in Point Slope Form", "id": "23648", "description_html": "Linear Equations in Point Slope Form", "title": "Linear equations in point slope form", "progress_key": "v23648", "edit_slug": "edit/v/23648", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Point Slope Form", "extra_properties": null, "node_slug": "v/linear-equations-in-point-slope-form", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.mp4/zqCokP2vDGo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.mp4/zqCokP2vDGo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.m3u8/zqCokP2vDGo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zqCokP2vDGo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23648", "sha": "d9891d379427fcf4b3554774d122bcf2a67ff0b3", "translated_description": "Linear Equations in Point Slope Form", "image_url": "https://img.youtube.com/vi/zqCokP2vDGo/hqdefault.jpg", "youtube_id": "zqCokP2vDGo", "content_kind": "Video", "readable_id": "linear-equations-in-point-slope-form"}, {"translated_youtube_id": "BaQXFstxCMo", "relative_url": "/video/linear-equations-in-standard-form", "has_questions": false, "keywords": "Linear, Equations, in, Standard, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-standard-form", "duration": 608, "translated_title": "Linear equations in standard form", "translated_description_html": "Linear Equations in Standard Form", "id": "23650", "description_html": "Linear Equations in Standard Form", "title": "Linear equations in standard form", "progress_key": "v23650", "edit_slug": "edit/v/23650", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Standard Form", "extra_properties": null, "node_slug": "v/linear-equations-in-standard-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.m3u8/BaQXFstxCMo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BaQXFstxCMo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23650", "sha": "5c3b7481564ba6b15ef7e2e487d186390609cef5", "translated_description": "Linear Equations in Standard Form", "image_url": "https://img.youtube.com/vi/BaQXFstxCMo/hqdefault.jpg", "youtube_id": "BaQXFstxCMo", "content_kind": "Video", "readable_id": "linear-equations-in-standard-form"}, {"translated_youtube_id": "-6Fu2T_RSGM", "relative_url": "/video/point-slope-and-standard-form", "has_questions": false, "keywords": "U04_L1_T4_we2, Point-slope, and, standard, form, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/point-slope-and-standard-form", "duration": 476, "translated_title": "Point-slope and standard form", "translated_description_html": "Point-slope and standard form", "id": "26807", "description_html": "Point-slope and standard form", "title": "Point-slope and standard form", "progress_key": "v26807", "edit_slug": "edit/v/26807", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Point-slope and standard form", "extra_properties": null, "node_slug": "v/point-slope-and-standard-form", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.mp4/-6Fu2T_RSGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.mp4/-6Fu2T_RSGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.m3u8/-6Fu2T_RSGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-6Fu2T_RSGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26807", "sha": "515ac7d9c7c95ff4e274f4b02d50eedafb8af203", "translated_description": "Point-slope and standard form", "image_url": "https://img.youtube.com/vi/-6Fu2T_RSGM/hqdefault.jpg", "youtube_id": "-6Fu2T_RSGM", "content_kind": "Video", "readable_id": "point-slope-and-standard-form"}, {"translated_youtube_id": "DtPhV8q2D2E", "relative_url": "/video/converting-from-point-slope-to-slope-intercept-form", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-from-point-slope-to-slope-intercept-form", "duration": 150, "translated_title": "Converting from point slope to slope intercept form", "translated_description_html": "", "id": "xca0379de", "description_html": "", "title": "Converting from point slope to slope intercept form", "progress_key": "vxca0379de", "edit_slug": "edit/v/xca0379de", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-from-point-slope-to-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T18:55:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DtPhV8q2D2E.mp4/DtPhV8q2D2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DtPhV8q2D2E.mp4/DtPhV8q2D2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DtPhV8q2D2E.m3u8/DtPhV8q2D2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DtPhV8q2D2E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxca0379de", "sha": "4a2e8ed197b3c4e73225c59d34155e3a9e4b9e47", "translated_description": "", "image_url": "https://img.youtube.com/vi/DtPhV8q2D2E/hqdefault.jpg", "youtube_id": "DtPhV8q2D2E", "content_kind": "Video", "readable_id": "converting-from-point-slope-to-slope-intercept-form"}], "twitter_url": "", "translated_description": "You know the slope of a line and you know that it contains a certain point. Well, in this tutorial, you'll see that you can quickly take this information (and that knowledge the definition of what slope is) to construct the equation of this line in point-slope form! You'll also manipulate between point-slope, slope-intercept and standard form.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You know the slope of a line and you know that it contains a certain point. Well, in this tutorial, you'll see that you can quickly take this information (and that knowledge the definition of what slope is) to construct the equation of this line in point-slope form! You'll also manipulate between point-slope, slope-intercept and standard form.", "x_pos": 0.0, "node_slug": "point-slope-form", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:59:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb6bf53cc", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/point-slope-form", "extended_slug": "math/algebra/linear-equations-and-inequalitie/point-slope-form", "slug": "point-slope-form", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "be64c14a1339b941bcc44ef5509f5a98f6df8276", "standalone_title": "Point-slope form and standard form", "y_pos": 0.0, "current_revision_key": "be64c14a1339b941bcc44ef5509f5a98f6df8276", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry", "translated_standalone_title": "More analytic geometry", "translated_title": "More analytic geometry", "gplus_url": "", "id": "xf162feb0", "old_key_name": "fwyV9CvRf4iv4M5glCXFKPxI9RBcFjIGT4GrchnL", "hide": false, "title": "More analytic geometry", "child_data": [{"kind": "Video", "id": 23758}, {"kind": "Exercise", "id": 13090861}, {"kind": "Video", "id": 2600799}, {"kind": "Exercise", "id": 3032}, {"kind": "Video", "id": 23756}, {"kind": "Exercise", "id": 4514693}, {"kind": "Video", "id": 466056217}, {"kind": "Video", "id": 23652}, {"kind": "Video", "id": 33752758}, {"kind": "Video", "id": 26808}, {"kind": "Video", "id": 26809}, {"kind": "Video", "id": 26810}, {"kind": "Video", "id": 26811}, {"kind": "Video", "id": 26812}, {"kind": "Exercise", "id": 13179420}, {"kind": "Video", "id": "xb8d341b5"}, {"kind": "Exercise", "id": 520927569}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23438}, {"kind": "Video", "id": 23446}, {"kind": "Video", "id": 24372}], "children": [{"translated_youtube_id": "Ez_-RwV9WVo", "relative_url": "/video/midpoint-formula", "has_questions": false, "keywords": "Midpoint, Formula", "ka_url": "http://www.khanacademy.org/video/midpoint-formula", "duration": 401, "translated_title": "Midpoint formula", "translated_description_html": "

Midpoint Formula<\/p>\n", "id": "23758", "description_html": "

Midpoint Formula<\/p>\n", "title": "Midpoint formula", "progress_key": "v23758", "edit_slug": "edit/v/23758", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Midpoint Formula\n", "extra_properties": {"original_url": ""}, "node_slug": "v/midpoint-formula", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.mp4/Ez_-RwV9WVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.mp4/Ez_-RwV9WVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.m3u8/Ez_-RwV9WVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ez_-RwV9WVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23758", "sha": "dc4e97f74a7c995db52d1a17823965ce556c479a", "translated_description": "Midpoint Formula\n", "image_url": "https://img.youtube.com/vi/Ez_-RwV9WVo/hqdefault.jpg", "youtube_id": "Ez_-RwV9WVo", "content_kind": "Video", "readable_id": "midpoint-formula"}, {"translated_youtube_id": "AA6RfgP-AHU", "relative_url": "/video/the-pythagorean-theorem", "has_questions": false, "keywords": "Introduction, to, the, Pythagorean, Theorem, CC_8_G_6, CC_8_G_7, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/the-pythagorean-theorem", "duration": 646, "translated_title": "The Pythagorean theorem intro", "translated_description_html": "Introduction to the Pythagorean Theorem", "id": "2600799", "description_html": "Introduction to the Pythagorean Theorem", "title": "The Pythagorean theorem intro", "progress_key": "v2600799", "edit_slug": "edit/v/2600799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Pythagorean Theorem", "extra_properties": {"original_url": ""}, "node_slug": "v/the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.m3u8/AA6RfgP-AHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AA6RfgP-AHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600799", "sha": "8b023a9d2ec9cf5894be44fe2e8221f24ce10f34", "translated_description": "Introduction to the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/AA6RfgP-AHU/hqdefault.jpg", "youtube_id": "AA6RfgP-AHU", "content_kind": "Video", "readable_id": "the-pythagorean-theorem"}, {"translated_youtube_id": "nyZuite17Pc", "relative_url": "/video/distance-formula", "has_questions": false, "keywords": "Distance, formula, points, pythagorean, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/distance-formula", "duration": 579, "translated_title": "Distance formula", "translated_description_html": "How to find the distance between lines using the Pythagorean Formula", "id": "23756", "description_html": "How to find the distance between lines using the Pythagorean Formula", "title": "Distance formula", "progress_key": "v23756", "edit_slug": "edit/v/23756", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to find the distance between lines using the Pythagorean Formula", "extra_properties": null, "node_slug": "v/distance-formula", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.m3u8/nyZuite17Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nyZuite17Pc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23756", "sha": "79f15ffdb5b98d8f8d05fab1e74e57abc91e473b", "translated_description": "How to find the distance between lines using the Pythagorean Formula", "image_url": "https://img.youtube.com/vi/nyZuite17Pc/hqdefault.jpg", "youtube_id": "nyZuite17Pc", "content_kind": "Video", "readable_id": "distance-formula"}, {"translated_youtube_id": "ndPq7gbin7A", "relative_url": "/video/perpendicular-line-slope", "has_questions": false, "keywords": "u13, l2, t3, we1, Perpendicular, Line, Slope", "ka_url": "http://www.khanacademy.org/video/perpendicular-line-slope", "duration": 151, "translated_title": "Perpendicular line slope", "translated_description_html": "u13 l2 t3 we1 Perpendicular Line Slope", "id": "466056217", "description_html": "u13 l2 t3 we1 Perpendicular Line Slope", "title": "Perpendicular line slope", "progress_key": "v466056217", "edit_slug": "edit/v/466056217", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "u13 l2 t3 we1 Perpendicular Line Slope", "extra_properties": null, "node_slug": "v/perpendicular-line-slope", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.m3u8/ndPq7gbin7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ndPq7gbin7A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v466056217", "sha": "00f0f9927f3cbf85eeb83cd7201d0e64ca8ed168", "translated_description": "u13 l2 t3 we1 Perpendicular Line Slope", "image_url": "https://img.youtube.com/vi/ndPq7gbin7A/hqdefault.jpg", "youtube_id": "ndPq7gbin7A", "content_kind": "Video", "readable_id": "perpendicular-line-slope"}, {"translated_youtube_id": "9hryH94KFJA", "relative_url": "/video/equations-of-parallel-and-perpendicular-lines", "has_questions": false, "keywords": "Equations, of, Parallel, and, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/equations-of-parallel-and-perpendicular-lines", "duration": 553, "translated_title": "Equations of parallel and perpendicular lines", "translated_description_html": "Equations of Parallel and Perpendicular Lines", "id": "23652", "description_html": "Equations of Parallel and Perpendicular Lines", "title": "Equations of parallel and perpendicular lines", "progress_key": "v23652", "edit_slug": "edit/v/23652", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations of Parallel and Perpendicular Lines", "extra_properties": null, "node_slug": "v/equations-of-parallel-and-perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.m3u8/9hryH94KFJA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9hryH94KFJA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23652", "sha": "31b7ad6a9b1b780c5ec7f15bf099fda303ebea06", "translated_description": "Equations of Parallel and Perpendicular Lines", "image_url": "https://img.youtube.com/vi/9hryH94KFJA/hqdefault.jpg", "youtube_id": "9hryH94KFJA", "content_kind": "Video", "readable_id": "equations-of-parallel-and-perpendicular-lines"}, {"translated_youtube_id": "4Cmv7dUgggU", "relative_url": "/video/parallel-line-equation", "has_questions": false, "keywords": "u13_l2_t3_we2, Parallel, Line, Equation", "ka_url": "http://www.khanacademy.org/video/parallel-line-equation", "duration": 264, "translated_title": "Parallel line equation", "translated_description_html": "Parallel Line Equation", "id": "33752758", "description_html": "Parallel Line Equation", "title": "Parallel line equation", "progress_key": "v33752758", "edit_slug": "edit/v/33752758", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Line Equation", "extra_properties": null, "node_slug": "v/parallel-line-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.m3u8/4Cmv7dUgggU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Cmv7dUgggU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752758", "sha": "3463b8b80927e17cfc3ea56526852af6b4da84c1", "translated_description": "Parallel Line Equation", "image_url": "https://img.youtube.com/vi/4Cmv7dUgggU/hqdefault.jpg", "youtube_id": "4Cmv7dUgggU", "content_kind": "Video", "readable_id": "parallel-line-equation"}, {"translated_youtube_id": "T-aCweuimis", "relative_url": "/video/parallel-lines", "has_questions": false, "keywords": "U04_L2_T1_we1, Parallel, Lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines", "duration": 228, "translated_title": "Parallel lines", "translated_description_html": "Parallel Lines", "id": "26808", "description_html": "Parallel Lines", "title": "Parallel lines", "progress_key": "v26808", "edit_slug": "edit/v/26808", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Lines", "extra_properties": null, "node_slug": "v/parallel-lines", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.mp4/T-aCweuimis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.mp4/T-aCweuimis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.m3u8/T-aCweuimis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T-aCweuimis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26808", "sha": "d338f58ff34a4b7270f29159dcfc703416f068e5", "translated_description": "Parallel Lines", "image_url": "https://img.youtube.com/vi/T-aCweuimis/hqdefault.jpg", "youtube_id": "T-aCweuimis", "content_kind": "Video", "readable_id": "parallel-lines"}, {"translated_youtube_id": "lOWXZFP8Vuc", "relative_url": "/video/parallel-lines-2", "has_questions": false, "keywords": "U04_L2_T1_we2, Parallel, Lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines-2", "duration": 183, "translated_title": "Parallel lines 2", "translated_description_html": "Parallel Lines 2", "id": "26809", "description_html": "Parallel Lines 2", "title": "Parallel lines 2", "progress_key": "v26809", "edit_slug": "edit/v/26809", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Lines 2", "extra_properties": null, "node_slug": "v/parallel-lines-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.m3u8/lOWXZFP8Vuc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lOWXZFP8Vuc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26809", "sha": "67ffb156124645683d27e72761487b4ec07e180e", "translated_description": "Parallel Lines 2", "image_url": "https://img.youtube.com/vi/lOWXZFP8Vuc/hqdefault.jpg", "youtube_id": "lOWXZFP8Vuc", "content_kind": "Video", "readable_id": "parallel-lines-2"}, {"translated_youtube_id": "y5yNi08cr6I", "relative_url": "/video/parallel-lines-3", "has_questions": false, "keywords": "U04_L2_T1_we3, Parallel, lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines-3", "duration": 162, "translated_title": "Parallel lines 3", "translated_description_html": "Parallel lines 3", "id": "26810", "description_html": "Parallel lines 3", "title": "Parallel lines 3", "progress_key": "v26810", "edit_slug": "edit/v/26810", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel lines 3", "extra_properties": null, "node_slug": "v/parallel-lines-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.m3u8/y5yNi08cr6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y5yNi08cr6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26810", "sha": "a2290a1aa9d085321dc696f778a3c92ecd1eece0", "translated_description": "Parallel lines 3", "image_url": "https://img.youtube.com/vi/y5yNi08cr6I/hqdefault.jpg", "youtube_id": "y5yNi08cr6I", "content_kind": "Video", "readable_id": "parallel-lines-3"}, {"translated_youtube_id": "0671cRNjeKI", "relative_url": "/video/perpendicular-lines", "has_questions": false, "keywords": "U04_L2_T2_we1, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/perpendicular-lines", "duration": 209, "translated_title": "Perpendicular lines", "translated_description_html": "Perpendicular Lines", "id": "26811", "description_html": "Perpendicular Lines", "title": "Perpendicular lines", "progress_key": "v26811", "edit_slug": "edit/v/26811", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perpendicular Lines", "extra_properties": null, "node_slug": "v/perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.mp4/0671cRNjeKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.mp4/0671cRNjeKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.m3u8/0671cRNjeKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0671cRNjeKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26811", "sha": "f7bb216d255887eebed43a90600d463ab3cff396", "translated_description": "Perpendicular Lines", "image_url": "https://img.youtube.com/vi/0671cRNjeKI/hqdefault.jpg", "youtube_id": "0671cRNjeKI", "content_kind": "Video", "readable_id": "perpendicular-lines"}, {"translated_youtube_id": "TsEhZRT16LU", "relative_url": "/video/perpendicular-lines-2", "has_questions": false, "keywords": "U04_L2_T2_we2, Perpendicular, lines", "ka_url": "http://www.khanacademy.org/video/perpendicular-lines-2", "duration": 181, "translated_title": "Perpendicular lines 2", "translated_description_html": "Perpendicular lines 2", "id": "26812", "description_html": "Perpendicular lines 2", "title": "Perpendicular lines 2", "progress_key": "v26812", "edit_slug": "edit/v/26812", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perpendicular lines 2", "extra_properties": null, "node_slug": "v/perpendicular-lines-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.mp4/TsEhZRT16LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.mp4/TsEhZRT16LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.m3u8/TsEhZRT16LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TsEhZRT16LU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26812", "sha": "478aec2aeaee3eadf297cc8a8e8f4b6e32c50a1b", "translated_description": "Perpendicular lines 2", "image_url": "https://img.youtube.com/vi/TsEhZRT16LU/hqdefault.jpg", "youtube_id": "TsEhZRT16LU", "content_kind": "Video", "readable_id": "perpendicular-lines-2"}, {"translated_youtube_id": "iATjsfAX8yc", "relative_url": "/video/distance-between-a-point-and-a-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/distance-between-a-point-and-a-line", "duration": 332, "translated_title": "Distance between a point and a line", "translated_description_html": "", "id": "xb8d341b5", "description_html": "", "title": "Distance between a point and a line", "progress_key": "vxb8d341b5", "edit_slug": "edit/v/xb8d341b5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/distance-between-a-point-and-a-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-18T16:34:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iATjsfAX8yc.mp4/iATjsfAX8yc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iATjsfAX8yc.mp4/iATjsfAX8yc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iATjsfAX8yc.m3u8/iATjsfAX8yc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iATjsfAX8yc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb8d341b5", "sha": "c7761ace853e8d009cb238410b7a165f80a0721f", "translated_description": "", "image_url": "https://img.youtube.com/vi/iATjsfAX8yc/hqdefault.jpg", "youtube_id": "iATjsfAX8yc", "content_kind": "Video", "readable_id": "distance-between-a-point-and-a-line"}, {"translated_youtube_id": "Nhn-anmubYU", "relative_url": "/video/algebra--slope-and-y-intercept-intuition", "has_questions": false, "keywords": "algebra, slope, y-intercept, CC_8_EE_6, CC_39336_F-BF_3", "ka_url": "http://www.khanacademy.org/video/algebra--slope-and-y-intercept-intuition", "duration": 515, "translated_title": "Algebra: Slope and y-intercept intuition", "translated_description_html": "Getting a feel for slope and y-intercept", "id": "23438", "description_html": "Getting a feel for slope and y-intercept", "title": "Algebra: Slope and y-intercept intuition", "progress_key": "v23438", "edit_slug": "edit/v/23438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Getting a feel for slope and y-intercept", "extra_properties": null, "node_slug": "v/algebra--slope-and-y-intercept-intuition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nhn-anmubYU.mp4/Nhn-anmubYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nhn-anmubYU.mp4/Nhn-anmubYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nhn-anmubYU.m3u8/Nhn-anmubYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nhn-anmubYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23438", "sha": "79ca849d3e0e809675223d8d25b2d1f4e4754a81", "translated_description": "Getting a feel for slope and y-intercept", "image_url": "https://img.youtube.com/vi/Nhn-anmubYU/hqdefault.jpg", "youtube_id": "Nhn-anmubYU", "content_kind": "Video", "readable_id": "algebra--slope-and-y-intercept-intuition"}, {"translated_youtube_id": "gvwKv6F69F0", "relative_url": "/video/algebra--equation-of-a-line", "has_questions": false, "keywords": "algebra, CC_8_EE_6", "ka_url": "http://www.khanacademy.org/video/algebra--equation-of-a-line", "duration": 405, "translated_title": "Algebra: Equation of a line", "translated_description_html": "Determining the equation of a line", "id": "23446", "description_html": "Determining the equation of a line", "title": "Algebra: Equation of a line", "progress_key": "v23446", "edit_slug": "edit/v/23446", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the equation of a line", "extra_properties": null, "node_slug": "v/algebra--equation-of-a-line", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gvwKv6F69F0.mp4/gvwKv6F69F0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gvwKv6F69F0.mp4/gvwKv6F69F0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gvwKv6F69F0.m3u8/gvwKv6F69F0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gvwKv6F69F0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23446", "sha": "d4fb8ba0b9f5bb92e113475bea2f07d68cff1476", "translated_description": "Determining the equation of a line", "image_url": "https://img.youtube.com/vi/gvwKv6F69F0/hqdefault.jpg", "youtube_id": "gvwKv6F69F0", "content_kind": "Video", "readable_id": "algebra--equation-of-a-line"}, {"translated_youtube_id": "31v-n2ND2VE", "relative_url": "/video/ca-algebra-i--slope-and-y-intercept", "has_questions": false, "keywords": "slope, line, equation, y-intercept", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--slope-and-y-intercept", "duration": 750, "translated_title": "CA Algebra I: Slope and y-intercept", "translated_description_html": "27-32, figuring out the slope, y-intercept and equation of a line", "id": "24372", "description_html": "27-32, figuring out the slope, y-intercept and equation of a line", "title": "CA Algebra I: Slope and y-intercept", "progress_key": "v24372", "edit_slug": "edit/v/24372", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "27-32, figuring out the slope, y-intercept and equation of a line", "extra_properties": null, "node_slug": "v/ca-algebra-i--slope-and-y-intercept", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.mp4/31v-n2ND2VE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.mp4/31v-n2ND2VE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.m3u8/31v-n2ND2VE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=31v-n2ND2VE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24372", "sha": "919bf3baad05c9c8ffc2250ab8e3c8e1d125d2e7", "translated_description": "27-32, figuring out the slope, y-intercept and equation of a line", "image_url": "https://img.youtube.com/vi/31v-n2ND2VE/hqdefault.jpg", "youtube_id": "31v-n2ND2VE", "content_kind": "Video", "readable_id": "ca-algebra-i--slope-and-y-intercept"}], "twitter_url": "", "translated_description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about distances between points, midpoints, parallel lines and perpendicular ones. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about distances between points, midpoints, parallel lines and perpendicular ones. Enjoy!", "x_pos": 0.0, "node_slug": "more-analytic-geometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-18T16:37:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf162feb0", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry", "extended_slug": "math/algebra/linear-equations-and-inequalitie/more-analytic-geometry", "slug": "more-analytic-geometry", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f0638987ab5e9f38a2ec26accfe092e936ccfcc7", "standalone_title": "More analytic geometry", "y_pos": 0.0, "current_revision_key": "f0638987ab5e9f38a2ec26accfe092e936ccfcc7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", "translated_standalone_title": "Graphing linear inequalities", "translated_title": "Graphing linear inequalities", "gplus_url": "", "id": "x7b71e39d", "old_key_name": "6F8l5bRzFTg0yJLj_UDqJDUYCaDQ1lznJlJyEuKi", "hide": false, "title": "Graphing linear inequalities", "child_data": [{"kind": "Video", "id": 23672}, {"kind": "Video", "id": 26822}, {"kind": "Video", "id": 2600589}, {"kind": "Video", "id": 33752760}, {"kind": "Video", "id": 26874}, {"kind": "Exercise", "id": 1080939128}, {"kind": "Exercise", "id": 237920064}, {"kind": "Video", "id": 33752759}, {"kind": "Exercise", "id": 379074129}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24370}], "children": [{"translated_youtube_id": "unSBFwK881s", "relative_url": "/video/graphing-inequalities", "has_questions": false, "keywords": "Graphing, Inequalities", "ka_url": "http://www.khanacademy.org/video/graphing-inequalities", "duration": 483, "translated_title": "Graphing inequalities", "translated_description_html": "Graphing Inequalities", "id": "23672", "description_html": "Graphing Inequalities", "title": "Graphing inequalities", "progress_key": "v23672", "edit_slug": "edit/v/23672", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Inequalities", "extra_properties": null, "node_slug": "v/graphing-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.m3u8/unSBFwK881s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=unSBFwK881s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23672", "sha": "fdc75a0efc74187558208921a071a05effd8c646", "translated_description": "Graphing Inequalities", "image_url": "https://img.youtube.com/vi/unSBFwK881s/hqdefault.jpg", "youtube_id": "unSBFwK881s", "content_kind": "Video", "readable_id": "graphing-inequalities"}, {"translated_youtube_id": "EoCeL4SPIcA", "relative_url": "/video/solving-and-graphing-linear-inequalities-in-two-variables-1", "has_questions": false, "keywords": "U05_L2_T1_we1, Solving, and, graphing, linear, inequalities, in, two, variables, CC_6_EE_8, CC_7_EE_4_b, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/solving-and-graphing-linear-inequalities-in-two-variables-1", "duration": 135, "translated_title": "Solving and graphing linear inequalities in two variables 1", "translated_description_html": "Solving and graphing linear inequalities in two variables", "id": "26822", "description_html": "Solving and graphing linear inequalities in two variables", "title": "Solving and graphing linear inequalities in two variables 1", "progress_key": "v26822", "edit_slug": "edit/v/26822", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving and graphing linear inequalities in two variables", "extra_properties": null, "node_slug": "v/solving-and-graphing-linear-inequalities-in-two-variables-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.m3u8/EoCeL4SPIcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EoCeL4SPIcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26822", "sha": "23b64ad14bc67c4eb037e503632013ec1acd7916", "translated_description": "Solving and graphing linear inequalities in two variables", "image_url": "https://img.youtube.com/vi/EoCeL4SPIcA/hqdefault.jpg", "youtube_id": "EoCeL4SPIcA", "content_kind": "Video", "readable_id": "solving-and-graphing-linear-inequalities-in-two-variables-1"}, {"translated_youtube_id": "FnrqBgot3jM", "relative_url": "/video/graphing-linear-inequalities-in-two-variables-example-2", "has_questions": false, "keywords": "U05, L2, T1, WE2, Graphing, Linear, Inequalities, in, Two, Variables, CC_39336_A-REI_10, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphing-linear-inequalities-in-two-variables-example-2", "duration": 183, "translated_title": "Graphing linear inequalities in two variables example 2", "translated_description_html": "Graphing Linear Inequalities in Two Variables", "id": "2600589", "description_html": "Graphing Linear Inequalities in Two Variables", "title": "Graphing linear inequalities in two variables example 2", "progress_key": "v2600589", "edit_slug": "edit/v/2600589", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Graphing Linear Inequalities in Two Variables", "extra_properties": null, "node_slug": "v/graphing-linear-inequalities-in-two-variables-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.m3u8/FnrqBgot3jM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FnrqBgot3jM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600589", "sha": "1ec34e028f1319a4ac69e951a3f4abab761fed31", "translated_description": "Graphing Linear Inequalities in Two Variables", "image_url": "https://img.youtube.com/vi/FnrqBgot3jM/hqdefault.jpg", "youtube_id": "FnrqBgot3jM", "content_kind": "Video", "readable_id": "graphing-linear-inequalities-in-two-variables-example-2"}, {"translated_youtube_id": "-aTy1ED1m5I", "relative_url": "/video/graphing-inequalities-2", "has_questions": false, "keywords": "u13_l2_t4_we2, Graphing, Inequalities", "ka_url": "http://www.khanacademy.org/video/graphing-inequalities-2", "duration": 320, "translated_title": "Graphing inequalities 2", "translated_description_html": "Graphing Inequalities 2", "id": "33752760", "description_html": "Graphing Inequalities 2", "title": "Graphing inequalities 2", "progress_key": "v33752760", "edit_slug": "edit/v/33752760", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Inequalities 2", "extra_properties": null, "node_slug": "v/graphing-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.m3u8/-aTy1ED1m5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-aTy1ED1m5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752760", "sha": "d40a4a63cc0833847b7fc25f4f3987512c8084c9", "translated_description": "Graphing Inequalities 2", "image_url": "https://img.youtube.com/vi/-aTy1ED1m5I/hqdefault.jpg", "youtube_id": "-aTy1ED1m5I", "content_kind": "Video", "readable_id": "graphing-inequalities-2"}, {"translated_youtube_id": "YBYu5aZPLeg", "relative_url": "/video/graphing-linear-inequalities-in-two-variables-3", "has_questions": false, "keywords": "U05_L2_T1_we3, Graphing, linear, inequalities, in, two, variables", "ka_url": "http://www.khanacademy.org/video/graphing-linear-inequalities-in-two-variables-3", "duration": 200, "translated_title": "Graphing linear inequalities in two variables 3", "translated_description_html": "Graphing linear inequalities in two variables", "id": "26874", "description_html": "Graphing linear inequalities in two variables", "title": "Graphing linear inequalities in two variables 3", "progress_key": "v26874", "edit_slug": "edit/v/26874", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing linear inequalities in two variables", "extra_properties": null, "node_slug": "v/graphing-linear-inequalities-in-two-variables-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.mp4/YBYu5aZPLeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.mp4/YBYu5aZPLeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.m3u8/YBYu5aZPLeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YBYu5aZPLeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26874", "sha": "f18cde684c2d8fbca7d2c762deda0d721968e068", "translated_description": "Graphing linear inequalities in two variables", "image_url": "https://img.youtube.com/vi/YBYu5aZPLeg/hqdefault.jpg", "youtube_id": "YBYu5aZPLeg", "content_kind": "Video", "readable_id": "graphing-linear-inequalities-in-two-variables-3"}, {"translated_youtube_id": "2oGsLdAWxlk", "relative_url": "/video/graphing-inequalities-1", "has_questions": false, "keywords": "u13_l2_t4_we1, Graphing, Inequalities, CC_6_EE_5, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphing-inequalities-1", "duration": 366, "translated_title": "Graphing inequalities 1", "translated_description_html": "Graphing Inequalities", "id": "33752759", "description_html": "Graphing Inequalities", "title": "Graphing inequalities 1", "progress_key": "v33752759", "edit_slug": "edit/v/33752759", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Inequalities", "extra_properties": null, "node_slug": "v/graphing-inequalities-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2oGsLdAWxlk.mp4/2oGsLdAWxlk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2oGsLdAWxlk.mp4/2oGsLdAWxlk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2oGsLdAWxlk.m3u8/2oGsLdAWxlk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2oGsLdAWxlk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752759", "sha": "4f227c6f7fdb6ac32ec6073cc64624ca417b476e", "translated_description": "Graphing Inequalities", "image_url": "https://img.youtube.com/vi/2oGsLdAWxlk/hqdefault.jpg", "youtube_id": "2oGsLdAWxlk", "content_kind": "Video", "readable_id": "graphing-inequalities-1"}, {"translated_youtube_id": "KZ8Vw_Nim8U", "relative_url": "/video/ca-algebra-i--graphing-inequalities", "has_questions": false, "keywords": "graphing, inequalities, testing, assertions, algebra", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--graphing-inequalities", "duration": 702, "translated_title": "CA Algebra I: Graphing inequalities", "translated_description_html": "21-26, graphing inequalities and testing assertions", "id": "24370", "description_html": "21-26, graphing inequalities and testing assertions", "title": "CA Algebra I: Graphing inequalities", "progress_key": "v24370", "edit_slug": "edit/v/24370", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "21-26, graphing inequalities and testing assertions", "extra_properties": null, "node_slug": "v/ca-algebra-i--graphing-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.mp4/KZ8Vw_Nim8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.mp4/KZ8Vw_Nim8U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.m3u8/KZ8Vw_Nim8U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KZ8Vw_Nim8U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24370", "sha": "f5c4acc1de65a0bdfb50577becd9a13d78d8a425", "translated_description": "21-26, graphing inequalities and testing assertions", "image_url": "https://img.youtube.com/vi/KZ8Vw_Nim8U/hqdefault.jpg", "youtube_id": "KZ8Vw_Nim8U", "content_kind": "Video", "readable_id": "ca-algebra-i--graphing-inequalities"}], "twitter_url": "", "translated_description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", "x_pos": 0.0, "node_slug": "graphing-linear-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7b71e39d", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", "slug": "graphing-linear-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b06a14f9db2e056a2d9fdbaaf940aedf2064a15f", "standalone_title": "Graphing linear inequalities", "y_pos": 0.0, "current_revision_key": "b06a14f9db2e056a2d9fdbaaf940aedf2064a15f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/triangle-similarity-slope", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/triangle-similarity-slope", "translated_standalone_title": "Triangle similarity and constant slope", "translated_title": "Triangle similarity and constant slope", "gplus_url": "", "id": "x2e86effc", "old_key_name": null, "hide": false, "title": "Triangle similarity and constant slope", "child_data": [{"kind": "Video", "id": "x208e430a"}, {"kind": "Video", "id": "xf804d0d7"}, {"kind": "Video", "id": "x3711faf2"}, {"kind": "Video", "id": "x525ceb24"}, {"kind": "Video", "id": "x82c181d0"}, {"kind": "Exercise", "id": "x940529aa"}], "children": [{"translated_youtube_id": "24WMbh1BBKc", "relative_url": "/video/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "duration": 476, "translated_title": "Similar triangles to prove that the slope is constant for a line", "translated_description_html": "", "id": "x208e430a", "description_html": "", "title": "Similar triangles to prove that the slope is constant for a line", "progress_key": "vx208e430a", "edit_slug": "edit/v/x208e430a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.mp4/24WMbh1BBKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.mp4/24WMbh1BBKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/24WMbh1BBKc.m3u8/24WMbh1BBKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=24WMbh1BBKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx208e430a", "sha": "d33b9bc404f63f326eae0b369b73170eab057771", "translated_description": "", "image_url": "https://img.youtube.com/vi/24WMbh1BBKc/hqdefault.jpg", "youtube_id": "24WMbh1BBKc", "content_kind": "Video", "readable_id": "similar-triangles-to-prove-that-the-slope-is-constant-for-a-line"}, {"translated_youtube_id": "4cxjvAPs92o", "relative_url": "/video/slope-and-triangle-similarity-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-1", "duration": 366, "translated_title": "Slope and triangle similarity 1", "translated_description_html": "", "id": "xf804d0d7", "description_html": "", "title": "Slope and triangle similarity 1", "progress_key": "vxf804d0d7", "edit_slug": "edit/v/xf804d0d7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.mp4/4cxjvAPs92o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.mp4/4cxjvAPs92o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4cxjvAPs92o.m3u8/4cxjvAPs92o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4cxjvAPs92o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf804d0d7", "sha": "129da81bc37850e306002e27c5345a2947974059", "translated_description": "", "image_url": "https://img.youtube.com/vi/4cxjvAPs92o/hqdefault.jpg", "youtube_id": "4cxjvAPs92o", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-1"}, {"translated_youtube_id": "Gt7adTCc8qw", "relative_url": "/video/slope-and-triangle-similarity-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-2", "duration": 485, "translated_title": "Slope and triangle similarity 2", "translated_description_html": "", "id": "x3711faf2", "description_html": "", "title": "Slope and triangle similarity 2", "progress_key": "vx3711faf2", "edit_slug": "edit/v/x3711faf2", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-27T22:36:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.mp4/Gt7adTCc8qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.mp4/Gt7adTCc8qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gt7adTCc8qw.m3u8/Gt7adTCc8qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gt7adTCc8qw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3711faf2", "sha": "9ffff2f06693b4abe95e53d58fd99ca98809843b", "translated_description": "", "image_url": "https://img.youtube.com/vi/Gt7adTCc8qw/hqdefault.jpg", "youtube_id": "Gt7adTCc8qw", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-2"}, {"translated_youtube_id": "TINBeqCzLVk", "relative_url": "/video/slope-and-triangle-similarity-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-3", "duration": 433, "translated_title": "Slope and triangle similarity 3", "translated_description_html": "", "id": "x525ceb24", "description_html": "", "title": "Slope and triangle similarity 3", "progress_key": "vx525ceb24", "edit_slug": "edit/v/x525ceb24", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.mp4/TINBeqCzLVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.mp4/TINBeqCzLVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TINBeqCzLVk.m3u8/TINBeqCzLVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TINBeqCzLVk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx525ceb24", "sha": "48373f77ae0b36d232a787c0e20cf8a5ca9a6947", "translated_description": "", "image_url": "https://img.youtube.com/vi/TINBeqCzLVk/hqdefault.jpg", "youtube_id": "TINBeqCzLVk", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-3"}, {"translated_youtube_id": "VDnIdNM4tWI", "relative_url": "/video/slope-and-triangle-similarity-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-and-triangle-similarity-4", "duration": 363, "translated_title": "Slope and triangle similarity 4", "translated_description_html": "", "id": "x82c181d0", "description_html": "", "title": "Slope and triangle similarity 4", "progress_key": "vx82c181d0", "edit_slug": "edit/v/x82c181d0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/slope-and-triangle-similarity-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-27T22:36:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.mp4/VDnIdNM4tWI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.mp4/VDnIdNM4tWI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VDnIdNM4tWI.m3u8/VDnIdNM4tWI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VDnIdNM4tWI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx82c181d0", "sha": "3e02ae110b4cf025ea090e18b608a035c4266f45", "translated_description": "", "image_url": "https://img.youtube.com/vi/VDnIdNM4tWI/hqdefault.jpg", "youtube_id": "VDnIdNM4tWI", "content_kind": "Video", "readable_id": "slope-and-triangle-similarity-4"}], "twitter_url": "", "translated_description": "Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane. We'll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b (cc.8.ee.6). ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane. We'll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b (cc.8.ee.6). ", "x_pos": 0.0, "node_slug": "triangle-similarity-slope", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-27T22:40:26Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2e86effc", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/triangle-similarity-slope", "extended_slug": "math/algebra/linear-equations-and-inequalitie/triangle-similarity-slope", "slug": "triangle-similarity-slope", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fe868d094821f4d04d8a9ee996085b69ff52a3cc", "standalone_title": "Triangle similarity and constant slope", "y_pos": 0.0, "current_revision_key": "fe868d094821f4d04d8a9ee996085b69ff52a3cc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/linear-equations-and-inequalitie/average-rate-of-change", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/average-rate-of-change", "translated_standalone_title": "Average rate of change", "translated_title": "Average rate of change", "gplus_url": "", "id": "xce6c3abb", "old_key_name": null, "hide": false, "title": "Average rate of change", "child_data": [{"kind": "Video", "id": "x50b7170d"}, {"kind": "Video", "id": "x8fe3d56d"}, {"kind": "Video", "id": "x765678cf"}, {"kind": "Video", "id": "x4f2e6d3a"}, {"kind": "Exercise", "id": "x298c95d2"}], "children": [{"translated_youtube_id": "TEXSW-o8674", "relative_url": "/video/average-rate-of-change-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/average-rate-of-change-example-1", "duration": 135, "translated_title": "Average rate of change (example 1)", "translated_description_html": "", "id": "x50b7170d", "description_html": "", "title": "Average rate of change (example 1)", "progress_key": "vx50b7170d", "edit_slug": "edit/v/x50b7170d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/average-rate-of-change-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TEXSW-o8674.mp4/TEXSW-o8674.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TEXSW-o8674.mp4/TEXSW-o8674.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TEXSW-o8674.m3u8/TEXSW-o8674.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TEXSW-o8674&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx50b7170d", "sha": "e9b235daeaa560a90514ad8f23826c5d9d6dc755", "translated_description": "", "image_url": "https://img.youtube.com/vi/TEXSW-o8674/hqdefault.jpg", "youtube_id": "TEXSW-o8674", "content_kind": "Video", "readable_id": "average-rate-of-change-example-1"}, {"translated_youtube_id": "lK5nCBCr9-A", "relative_url": "/video/average-rate-of-change-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/average-rate-of-change-example-2", "duration": 259, "translated_title": "Average rate of change (example 2)", "translated_description_html": "", "id": "x8fe3d56d", "description_html": "", "title": "Average rate of change (example 2)", "progress_key": "vx8fe3d56d", "edit_slug": "edit/v/x8fe3d56d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/average-rate-of-change-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lK5nCBCr9-A.mp4/lK5nCBCr9-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lK5nCBCr9-A.mp4/lK5nCBCr9-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lK5nCBCr9-A.m3u8/lK5nCBCr9-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lK5nCBCr9-A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8fe3d56d", "sha": "f4e333b3013c6a6545db5845302fea63e75450dd", "translated_description": "", "image_url": "https://img.youtube.com/vi/lK5nCBCr9-A/hqdefault.jpg", "youtube_id": "lK5nCBCr9-A", "content_kind": "Video", "readable_id": "average-rate-of-change-example-2"}, {"translated_youtube_id": "U1lQbh21y1k", "relative_url": "/video/average-rate-of-change-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/average-rate-of-change-example-3", "duration": 140, "translated_title": "Average rate of change (example 3)", "translated_description_html": "", "id": "x765678cf", "description_html": "", "title": "Average rate of change (example 3)", "progress_key": "vx765678cf", "edit_slug": "edit/v/x765678cf", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/average-rate-of-change-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-06-04T19:20:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U1lQbh21y1k.mp4/U1lQbh21y1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U1lQbh21y1k.mp4/U1lQbh21y1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U1lQbh21y1k.m3u8/U1lQbh21y1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U1lQbh21y1k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx765678cf", "sha": "9622bbda65d93c574681d03ba5bbfd8c50e32bd4", "translated_description": "", "image_url": "https://img.youtube.com/vi/U1lQbh21y1k/hqdefault.jpg", "youtube_id": "U1lQbh21y1k", "content_kind": "Video", "readable_id": "average-rate-of-change-example-3"}, {"translated_youtube_id": "6n0yxfWNFR4", "relative_url": "/video/average-rate-of-change-when-function-defined-by-equation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/average-rate-of-change-when-function-defined-by-equation", "duration": 304, "translated_title": "Average rate of change when function defined by equation", "translated_description_html": "", "id": "x4f2e6d3a", "description_html": "", "title": "Average rate of change when function defined by equation", "progress_key": "vx4f2e6d3a", "edit_slug": "edit/v/x4f2e6d3a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/average-rate-of-change-when-function-defined-by-equation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-28T07:55:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6n0yxfWNFR4.mp4/6n0yxfWNFR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6n0yxfWNFR4.mp4/6n0yxfWNFR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6n0yxfWNFR4.m3u8/6n0yxfWNFR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6n0yxfWNFR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f2e6d3a", "sha": "b0c317e5ede2187f3a82897c59b0e22b7c37c426", "translated_description": "", "image_url": "https://img.youtube.com/vi/6n0yxfWNFR4/hqdefault.jpg", "youtube_id": "6n0yxfWNFR4", "content_kind": "Video", "readable_id": "average-rate-of-change-when-function-defined-by-equation"}], "twitter_url": "", "translated_description": "Even when a function is nonlinear, we can calculate the average rate of change over an interval (we'll need calculus to calculate the rate of change at a particular value of the independent variable). This tutorial will give you practice doing just that.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Even when a function is nonlinear, we can calculate the average rate of change over an interval (we'll need calculus to calculate the rate of change at a particular value of the independent variable). This tutorial will give you practice doing just that.", "x_pos": 0.0, "node_slug": "average-rate-of-change", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axce6c3abb", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/average-rate-of-change", "extended_slug": "math/algebra/linear-equations-and-inequalitie/average-rate-of-change", "slug": "average-rate-of-change", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e1f6f9bd6fb42726e82d8e88d931887c72857677", "standalone_title": "Average rate of change", "y_pos": 0.0, "current_revision_key": "e1f6f9bd6fb42726e82d8e88d931887c72857677", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). This will include slope and the equation of a line.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). This will include slope and the equation of a line.", "x_pos": 10.0, "node_slug": "linear-equations-and-inequalitie", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax95ee270d", "topic_page_url": "/math/algebra/linear-equations-and-inequalitie", "extended_slug": "math/algebra/linear-equations-and-inequalitie", "slug": "linear-equations-and-inequalitie", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2238b33d70969c1a0dc76b57be715d8ad3b4d7df", "standalone_title": "Graphing linear functions", "y_pos": 40.0, "current_revision_key": "2238b33d70969c1a0dc76b57be715d8ad3b4d7df", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/systems-of-eq-and-ineq-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq", "translated_standalone_title": "Systems of equations and inequalities", "translated_title": "Systems of equations and inequalities", "gplus_url": "", "id": "xd6035bab", "old_key_name": "iuUnywliLBQQ_Dibzrrsruwox-Wp7915SgZ2mBk6", "hide": false, "title": "Systems of equations and inequalities", "child_data": [{"kind": "Topic", "id": "x661ede37"}, {"kind": "Topic", "id": "x0f39b962"}, {"kind": "Topic", "id": "x3694fdbf"}, {"kind": "Topic", "id": "x40b53d04"}, {"kind": "Topic", "id": "x7977698a"}, {"kind": "Topic", "id": "x33f4ceff"}, {"kind": "Topic", "id": "x48ec903f"}, {"kind": "Topic", "id": "x5ceb677e"}, {"kind": "Topic", "id": "xca242ffe"}, {"kind": "Topic", "id": "x994d3dc5"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", "translated_standalone_title": "systems-overivew", "translated_title": "A system for solving the King's problems", "gplus_url": "", "id": "x661ede37", "old_key_name": "hrae-C1MtFoVRR-lLBwjf6pTyjSuDq34UbcgOAgV", "hide": false, "title": "A system for solving the King's problems", "child_data": [{"kind": "Video", "id": 1095856196}, {"kind": "Video", "id": 1095783741}, {"kind": "Video", "id": 1112700719}, {"kind": "Exercise", "id": 357485849}, {"kind": "Video", "id": 1112847811}, {"kind": "Video", "id": 1114711148}, {"kind": "Video", "id": 1112791956}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 1115141430}, {"kind": "Exercise", "id": 426688097}, {"kind": "Video", "id": 1115394533}, {"kind": "Video", "id": 1116433408}, {"kind": "Exercise", "id": 426633747}, {"kind": "Exercise", "id": 3017}, {"kind": "Exercise", "id": 449948800}], "children": [{"translated_youtube_id": "OcNt-36QKu8", "relative_url": "/video/trolls--tolls--and-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trolls--tolls--and-systems-of-equations", "duration": 411, "translated_title": "Trolls, tolls, and systems of equations", "translated_description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "id": "1095856196", "description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "title": "Trolls, tolls, and systems of equations", "progress_key": "v1095856196", "edit_slug": "edit/v/1095856196", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "extra_properties": null, "node_slug": "v/trolls--tolls--and-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-19T16:56:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.m3u8/OcNt-36QKu8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OcNt-36QKu8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095856196", "sha": "7c59d9f6f750f45278a5a799e7a28327f8ecae32", "translated_description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "image_url": "https://img.youtube.com/vi/OcNt-36QKu8/hqdefault.jpg", "youtube_id": "OcNt-36QKu8", "content_kind": "Video", "readable_id": "trolls--tolls--and-systems-of-equations"}, {"translated_youtube_id": "H-HfmyUzPw8", "relative_url": "/video/solving-the-troll-riddle-visually", "has_questions": false, "keywords": "simultaneous", "ka_url": "http://www.khanacademy.org/video/solving-the-troll-riddle-visually", "duration": 341, "translated_title": "Solving the troll riddle visually", "translated_description_html": "Solving the system of equations visually. Now we can save the prince/princess", "id": "1095783741", "description_html": "Solving the system of equations visually. Now we can save the prince/princess", "title": "Solving the troll riddle visually", "progress_key": "v1095783741", "edit_slug": "edit/v/1095783741", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving the system of equations visually. Now we can save the prince/princess", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-the-troll-riddle-visually", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-19T17:38:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.m3u8/H-HfmyUzPw8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-HfmyUzPw8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095783741", "sha": "295ce3a4534c203cc6b10187c8fcd12d7d475d99", "translated_description": "Solving the system of equations visually. Now we can save the prince/princess", "image_url": "https://img.youtube.com/vi/H-HfmyUzPw8/hqdefault.jpg", "youtube_id": "H-HfmyUzPw8", "content_kind": "Video", "readable_id": "solving-the-troll-riddle-visually"}, {"translated_youtube_id": "VhH2nEDCd68", "relative_url": "/video/solving-systems-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-graphically", "duration": 142, "translated_title": "Solving systems graphically", "translated_description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "id": "1112700719", "description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "title": "Solving systems graphically", "progress_key": "v1112700719", "edit_slug": "edit/v/1112700719", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "extra_properties": null, "node_slug": "v/solving-systems-graphically", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T16:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.m3u8/VhH2nEDCd68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhH2nEDCd68&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112700719", "sha": "8922246854322fdbe031bcf45f26a238c58fff5f", "translated_description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "image_url": "https://img.youtube.com/vi/VhH2nEDCd68/hqdefault.jpg", "youtube_id": "VhH2nEDCd68", "content_kind": "Video", "readable_id": "solving-systems-graphically"}, {"translated_youtube_id": "xCIHAjsZCE0", "relative_url": "/video/king-s-cupcakes---solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/king-s-cupcakes---solving-systems-by-elimination", "duration": 540, "translated_title": "King's cupcakes: Solving systems by elimination", "translated_description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "id": "1112847811", "description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "title": "King's cupcakes: Solving systems by elimination", "progress_key": "v1112847811", "edit_slug": "edit/v/1112847811", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "extra_properties": null, "node_slug": "v/king-s-cupcakes---solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T17:49:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.m3u8/xCIHAjsZCE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xCIHAjsZCE0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112847811", "sha": "2cf74a83a28ebf02909e125fbd327fc375b3900d", "translated_description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "image_url": "https://img.youtube.com/vi/xCIHAjsZCE0/hqdefault.jpg", "youtube_id": "xCIHAjsZCE0", "content_kind": "Video", "readable_id": "king-s-cupcakes---solving-systems-by-elimination"}, {"translated_youtube_id": "VuJEidLhY1E", "relative_url": "/video/how-many-bags-of-potato-chips-do-people-eat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-bags-of-potato-chips-do-people-eat", "duration": 561, "translated_title": "How many bags of potato chips do people eat?", "translated_description_html": "Using elimination to solve a system of equations", "id": "1114711148", "description_html": "Using elimination to solve a system of equations", "title": "How many bags of potato chips do people eat?", "progress_key": "v1114711148", "edit_slug": "edit/v/1114711148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using elimination to solve a system of equations", "extra_properties": null, "node_slug": "v/how-many-bags-of-potato-chips-do-people-eat", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-30T16:59:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.m3u8/VuJEidLhY1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VuJEidLhY1E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1114711148", "sha": "19ebfa03b68a958d849f765499479678a83a9024", "translated_description": "Using elimination to solve a system of equations", "image_url": "https://img.youtube.com/vi/VuJEidLhY1E/hqdefault.jpg", "youtube_id": "VuJEidLhY1E", "content_kind": "Video", "readable_id": "how-many-bags-of-potato-chips-do-people-eat"}, {"translated_youtube_id": "QrHsibKBVwI", "relative_url": "/video/simple-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-elimination-practice", "duration": 258, "translated_title": "Simple elimination practice", "translated_description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "id": "1112791956", "description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "title": "Simple elimination practice", "progress_key": "v1112791956", "edit_slug": "edit/v/1112791956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "extra_properties": null, "node_slug": "v/simple-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T18:56:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.m3u8/QrHsibKBVwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QrHsibKBVwI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112791956", "sha": "f1394ea93b8c1136bff61990cccd4bdc9c88ab83", "translated_description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "image_url": "https://img.youtube.com/vi/QrHsibKBVwI/hqdefault.jpg", "youtube_id": "QrHsibKBVwI", "content_kind": "Video", "readable_id": "simple-elimination-practice"}, {"translated_youtube_id": "u5dPUHjagSI", "relative_url": "/video/systems-with-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-with-elimination-practice", "duration": 331, "translated_title": "Systems with elimination practice", "translated_description_html": "Example of solving systems of equations with elimination", "id": "1115141430", "description_html": "Example of solving systems of equations with elimination", "title": "Systems with elimination practice", "progress_key": "v1115141430", "edit_slug": "edit/v/1115141430", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving systems of equations with elimination", "extra_properties": null, "node_slug": "v/systems-with-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:04:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.m3u8/u5dPUHjagSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5dPUHjagSI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115141430", "sha": "d587303c8bbf9ffc00cd4f31955536c79ea1642c", "translated_description": "Example of solving systems of equations with elimination", "image_url": "https://img.youtube.com/vi/u5dPUHjagSI/hqdefault.jpg", "youtube_id": "u5dPUHjagSI", "content_kind": "Video", "readable_id": "systems-with-elimination-practice"}, {"translated_youtube_id": "2EwPpga_XPw", "relative_url": "/video/solving-systems-with-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-with-substitution", "duration": 321, "translated_title": "Talking bird solves systems with substitution", "translated_description_html": "Solving systems of equations with substitution.", "id": "1115394533", "description_html": "Solving systems of equations with substitution.", "title": "Talking bird solves systems with substitution", "progress_key": "v1115394533", "edit_slug": "edit/v/1115394533", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving systems of equations with substitution.", "extra_properties": null, "node_slug": "v/solving-systems-with-substitution", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-10-31T00:46:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.m3u8/2EwPpga_XPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2EwPpga_XPw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115394533", "sha": "c4374f3164b36dcedf041d62e76da961257d895a", "translated_description": "Solving systems of equations with substitution.", "image_url": "https://img.youtube.com/vi/2EwPpga_XPw/hqdefault.jpg", "youtube_id": "2EwPpga_XPw", "content_kind": "Video", "readable_id": "solving-systems-with-substitution"}, {"translated_youtube_id": "GWZKz4F9hWM", "relative_url": "/video/practice-using-substitution-for-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-using-substitution-for-systems", "duration": 261, "translated_title": "Practice using substitution for systems", "translated_description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "id": "1116433408", "description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "title": "Practice using substitution for systems", "progress_key": "v1116433408", "edit_slug": "edit/v/1116433408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "extra_properties": null, "node_slug": "v/practice-using-substitution-for-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:47:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.m3u8/GWZKz4F9hWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GWZKz4F9hWM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116433408", "sha": "7459e35936cb6b9d045fde6091a4c8a75eb28e02", "translated_description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "image_url": "https://img.youtube.com/vi/GWZKz4F9hWM/hqdefault.jpg", "youtube_id": "GWZKz4F9hWM", "content_kind": "Video", "readable_id": "practice-using-substitution-for-systems"}], "twitter_url": "", "translated_description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", "x_pos": 0.0, "node_slug": "systems-of-eq-overview", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax661ede37", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", "slug": "systems-of-eq-overview", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c5d7a764966715dc4a3d92f695cb93e69d117589", "standalone_title": "systems-overivew", "y_pos": 0.0, "current_revision_key": "c5d7a764966715dc4a3d92f695cb93e69d117589", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations", "translated_standalone_title": "Super fast systems of equations", "translated_title": "Super fast systems of equations", "gplus_url": "", "id": "x0f39b962", "old_key_name": "kooHTuzR4n5yNmYSqQ49uYRKCt80Zzxqbnm1w-Zl", "hide": false, "title": "Super fast systems of equations", "child_data": [{"kind": "Video", "id": 23674}, {"kind": "Exercise", "id": 357485849}, {"kind": "Video", "id": 23676}, {"kind": "Exercise", "id": 426633747}, {"kind": "Video", "id": 23678}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 23680}, {"kind": "Exercise", "id": 426688097}, {"kind": "Exercise", "id": 3017}, {"kind": "Video", "id": 23682}, {"kind": "Exercise", "id": 426656847}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23462}], "children": [{"translated_youtube_id": "5a6zpfl50go", "relative_url": "/video/solving-linear-systems-by-graphing", "has_questions": false, "keywords": "Solving, Linear, Systems, by, Graphing, CC_8_EE_8_a, CC_39336_A-REI_11, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-linear-systems-by-graphing", "duration": 510, "translated_title": "Solving linear systems by graphing", "translated_description_html": "

Solving Linear Systems by Graphing<\/p>\n", "id": "23674", "description_html": "

Solving Linear Systems by Graphing<\/p>\n", "title": "Solving linear systems by graphing", "progress_key": "v23674", "edit_slug": "edit/v/23674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Linear Systems by Graphing\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-linear-systems-by-graphing", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.m3u8/5a6zpfl50go.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5a6zpfl50go&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23674", "sha": "8c90553c083f7aa7d1be0bcb00021122e2b68704", "translated_description": "Solving Linear Systems by Graphing\n", "image_url": "https://img.youtube.com/vi/5a6zpfl50go/hqdefault.jpg", "youtube_id": "5a6zpfl50go", "content_kind": "Video", "readable_id": "solving-linear-systems-by-graphing"}, {"translated_youtube_id": "V7H1oUHXPkg", "relative_url": "/video/solving-linear-systems-by-substitution", "has_questions": false, "keywords": "Solving, Linear, Systems, by, Substitution, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-linear-systems-by-substitution", "duration": 561, "translated_title": "Solving linear systems by substitution", "translated_description_html": "

Solving Linear Systems by Substitution<\/p>\n", "id": "23676", "description_html": "

Solving Linear Systems by Substitution<\/p>\n", "title": "Solving linear systems by substitution", "progress_key": "v23676", "edit_slug": "edit/v/23676", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Linear Systems by Substitution\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-linear-systems-by-substitution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V7H1oUHXPkg.mp4/V7H1oUHXPkg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V7H1oUHXPkg.mp4/V7H1oUHXPkg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V7H1oUHXPkg.m3u8/V7H1oUHXPkg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V7H1oUHXPkg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23676", "sha": "12dfc6d7c6935979c48f5718c4e521886066c46f", "translated_description": "Solving Linear Systems by Substitution\n", "image_url": "https://img.youtube.com/vi/V7H1oUHXPkg/hqdefault.jpg", "youtube_id": "V7H1oUHXPkg", "content_kind": "Video", "readable_id": "solving-linear-systems-by-substitution"}, {"translated_youtube_id": "vA-55wZtLeE", "relative_url": "/video/solving-systems-of-equations-by-elimination", "has_questions": false, "keywords": "Solving, Systems, of, Equations, by, Elimination, CC_8_EE_8_b, CC_39336_A-REI_5, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-of-equations-by-elimination", "duration": 764, "translated_title": "Solving systems of equations by elimination", "translated_description_html": "

Solving Systems of Equations by Elimination<\/p>\n", "id": "23678", "description_html": "

Solving Systems of Equations by Elimination<\/p>\n", "title": "Solving systems of equations by elimination", "progress_key": "v23678", "edit_slug": "edit/v/23678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Systems of Equations by Elimination\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-systems-of-equations-by-elimination", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vA-55wZtLeE.mp4/vA-55wZtLeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vA-55wZtLeE.mp4/vA-55wZtLeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vA-55wZtLeE.m3u8/vA-55wZtLeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vA-55wZtLeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23678", "sha": "0ca7c1f8504051253aa68abdf8a14a7f0ce5a719", "translated_description": "Solving Systems of Equations by Elimination\n", "image_url": "https://img.youtube.com/vi/vA-55wZtLeE/hqdefault.jpg", "youtube_id": "vA-55wZtLeE", "content_kind": "Video", "readable_id": "solving-systems-of-equations-by-elimination"}, {"translated_youtube_id": "wYrxKGt_bLg", "relative_url": "/video/solving-systems-of-equations-by-multiplication", "has_questions": false, "keywords": "Solving, Systems, of, Equations, by, Multiplication, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-of-equations-by-multiplication", "duration": 721, "translated_title": "Solving systems of equations by multiplication", "translated_description_html": "

Solving Systems of Equations by Multiplication<\/p>\n", "id": "23680", "description_html": "

Solving Systems of Equations by Multiplication<\/p>\n", "title": "Solving systems of equations by multiplication", "progress_key": "v23680", "edit_slug": "edit/v/23680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Systems of Equations by Multiplication\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-systems-of-equations-by-multiplication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYrxKGt_bLg.mp4/wYrxKGt_bLg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYrxKGt_bLg.mp4/wYrxKGt_bLg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wYrxKGt_bLg.m3u8/wYrxKGt_bLg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wYrxKGt_bLg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23680", "sha": "b83dd038b9040ec1df8476b0ef9daf93604752fb", "translated_description": "Solving Systems of Equations by Multiplication\n", "image_url": "https://img.youtube.com/vi/wYrxKGt_bLg/hqdefault.jpg", "youtube_id": "wYrxKGt_bLg", "content_kind": "Video", "readable_id": "solving-systems-of-equations-by-multiplication"}, {"translated_youtube_id": "5qkyuHIE2GM", "relative_url": "/video/special-types-of-linear-systems", "has_questions": false, "keywords": "Special, Types, of, Linear, Systems, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/special-types-of-linear-systems", "duration": 918, "translated_title": "Special types of linear systems", "translated_description_html": "

Special Types of Linear Systems<\/p>\n", "id": "23682", "description_html": "

Special Types of Linear Systems<\/p>\n", "title": "Special types of linear systems", "progress_key": "v23682", "edit_slug": "edit/v/23682", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Special Types of Linear Systems\n", "extra_properties": {"original_url": ""}, "node_slug": "v/special-types-of-linear-systems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5qkyuHIE2GM.mp4/5qkyuHIE2GM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5qkyuHIE2GM.mp4/5qkyuHIE2GM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5qkyuHIE2GM.m3u8/5qkyuHIE2GM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5qkyuHIE2GM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23682", "sha": "d1d8fd7a0445d8a838b1b028d465e47ba3c5dfa2", "translated_description": "Special Types of Linear Systems\n", "image_url": "https://img.youtube.com/vi/5qkyuHIE2GM/hqdefault.jpg", "youtube_id": "5qkyuHIE2GM", "content_kind": "Video", "readable_id": "special-types-of-linear-systems"}, {"translated_youtube_id": "nok99JOhcjo", "relative_url": "/video/systems-of-equations", "has_questions": false, "keywords": "Algebra, systems, of, equations, CC_8_EE_8, CC_8_EE_8_a, CC_39336_A-REI_5, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-of-equations", "duration": 597, "translated_title": "Old video on systems of equations", "translated_description_html": "systems of equations", "id": "23462", "description_html": "systems of equations", "title": "Old video on systems of equations", "progress_key": "v23462", "edit_slug": "edit/v/23462", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "systems of equations", "extra_properties": null, "node_slug": "v/systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nok99JOhcjo.mp4/nok99JOhcjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nok99JOhcjo.mp4/nok99JOhcjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nok99JOhcjo.m3u8/nok99JOhcjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nok99JOhcjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23462", "sha": "5309f446f7c27b60aec06550cd344a3a2297fe24", "translated_description": "systems of equations", "image_url": "https://img.youtube.com/vi/nok99JOhcjo/hqdefault.jpg", "youtube_id": "nok99JOhcjo", "content_kind": "Video", "readable_id": "systems-of-equations"}], "twitter_url": "", "translated_description": "Have no time for trolls, kings and parrots and just want to get to the essence of system. This might be a good tutorial for you. As you can see, this stuff is so important that we're covering it in several tutorials!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Have no time for trolls, kings and parrots and just want to get to the essence of system. This might be a good tutorial for you. As you can see, this stuff is so important that we're covering it in several tutorials!", "x_pos": 0.0, "node_slug": "fast-systems-of-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0f39b962", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations", "extended_slug": "math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations", "slug": "fast-systems-of-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a41121c828b7934612c83ee1a30b546b2be855a3", "standalone_title": "Super fast systems of equations", "y_pos": 0.0, "current_revision_key": "a41121c828b7934612c83ee1a30b546b2be855a3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-through-examples", "translated_standalone_title": "Solving systems through examples", "translated_title": "Solving systems graphically", "gplus_url": "", "id": "x3694fdbf", "old_key_name": "l2Y2Cc7UdoaSG1RBEQfMzv8fw-ZDt81BUiHr1ttv", "hide": false, "title": "Solving systems graphically", "child_data": [{"kind": "Video", "id": 23674}, {"kind": "Video", "id": 33752762}, {"kind": "Video", "id": 33752761}, {"kind": "Video", "id": 33752765}, {"kind": "Video", "id": 26876}, {"kind": "Video", "id": 26877}, {"kind": "Video", "id": 1112700719}, {"kind": "Exercise", "id": 357485849}], "children": [{"translated_youtube_id": "5a6zpfl50go", "relative_url": "/video/solving-linear-systems-by-graphing", "has_questions": false, "keywords": "Solving, Linear, Systems, by, Graphing, CC_8_EE_8_a, CC_39336_A-REI_11, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-linear-systems-by-graphing", "duration": 510, "translated_title": "Solving linear systems by graphing", "translated_description_html": "

Solving Linear Systems by Graphing<\/p>\n", "id": "23674", "description_html": "

Solving Linear Systems by Graphing<\/p>\n", "title": "Solving linear systems by graphing", "progress_key": "v23674", "edit_slug": "edit/v/23674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Linear Systems by Graphing\n", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-linear-systems-by-graphing", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.m3u8/5a6zpfl50go.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5a6zpfl50go&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23674", "sha": "8c90553c083f7aa7d1be0bcb00021122e2b68704", "translated_description": "Solving Linear Systems by Graphing\n", "image_url": "https://img.youtube.com/vi/5a6zpfl50go/hqdefault.jpg", "youtube_id": "5a6zpfl50go", "content_kind": "Video", "readable_id": "solving-linear-systems-by-graphing"}, {"translated_youtube_id": "SkMNREAMNvc", "relative_url": "/video/testing-a-solution-for-a-system-of-equations", "has_questions": false, "keywords": "u14_l1_t1_we2, Testing, solution, for, system, of, equations, CC_8_EE_8_a", "ka_url": "http://www.khanacademy.org/video/testing-a-solution-for-a-system-of-equations", "duration": 158, "translated_title": "Testing a solution for a system of equations", "translated_description_html": "Testing a solution for a system of equations", "id": "33752762", "description_html": "Testing a solution for a system of equations", "title": "Testing a solution for a system of equations", "progress_key": "v33752762", "edit_slug": "edit/v/33752762", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing a solution for a system of equations", "extra_properties": null, "node_slug": "v/testing-a-solution-for-a-system-of-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.mp4/SkMNREAMNvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.mp4/SkMNREAMNvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SkMNREAMNvc.m3u8/SkMNREAMNvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SkMNREAMNvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752762", "sha": "7564e6380c530704f04e2b48693bc25c6e445662", "translated_description": "Testing a solution for a system of equations", "image_url": "https://img.youtube.com/vi/SkMNREAMNvc/hqdefault.jpg", "youtube_id": "SkMNREAMNvc", "content_kind": "Video", "readable_id": "testing-a-solution-for-a-system-of-equations"}, {"translated_youtube_id": "MRAIgJmRmag", "relative_url": "/video/graphings-systems-of-equations", "has_questions": false, "keywords": "u14_l1_t1_we1, Graphings, Systems, of, Equations, CC_39336_A-REI_6, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphings-systems-of-equations", "duration": 395, "translated_title": "Graphing systems of equations", "translated_description_html": "Graphing Systems of Equations", "id": "33752761", "description_html": "Graphing Systems of Equations", "title": "Graphing systems of equations", "progress_key": "v33752761", "edit_slug": "edit/v/33752761", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Systems of Equations", "extra_properties": null, "node_slug": "v/graphings-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.m3u8/MRAIgJmRmag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MRAIgJmRmag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752761", "sha": "7f362329949512e2de7f654110c9c8a79f23a8d5", "translated_description": "Graphing Systems of Equations", "image_url": "https://img.youtube.com/vi/MRAIgJmRmag/hqdefault.jpg", "youtube_id": "MRAIgJmRmag", "content_kind": "Video", "readable_id": "graphings-systems-of-equations"}, {"translated_youtube_id": "3mimxluSVBo", "relative_url": "/video/graphical-systems-application-problem", "has_questions": false, "keywords": "u14_l1_t1_we5, Graphical, Systems, Application, Problem, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphical-systems-application-problem", "duration": 319, "translated_title": "Graphical systems application problem", "translated_description_html": "Graphical Systems Application Problem", "id": "33752765", "description_html": "Graphical Systems Application Problem", "title": "Graphical systems application problem", "progress_key": "v33752765", "edit_slug": "edit/v/33752765", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphical Systems Application Problem", "extra_properties": null, "node_slug": "v/graphical-systems-application-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.mp4/3mimxluSVBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.mp4/3mimxluSVBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3mimxluSVBo.m3u8/3mimxluSVBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3mimxluSVBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752765", "sha": "6566f56449f689f8174f73f57b982d06efe2d2f1", "translated_description": "Graphical Systems Application Problem", "image_url": "https://img.youtube.com/vi/3mimxluSVBo/hqdefault.jpg", "youtube_id": "3mimxluSVBo", "content_kind": "Video", "readable_id": "graphical-systems-application-problem"}, {"translated_youtube_id": "BNHLzEv6Mjg", "relative_url": "/video/solving-systems-by-graphing-2", "has_questions": false, "keywords": "U06_L1_T1_we2, Solving, systems, by, graphing, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-graphing-2", "duration": 206, "translated_title": "Example 2: Graphically solving systems", "translated_description_html": "Solving systems by graphing 2", "id": "26876", "description_html": "Solving systems by graphing 2", "title": "Example 2: Graphically solving systems", "progress_key": "v26876", "edit_slug": "edit/v/26876", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by graphing 2", "extra_properties": null, "node_slug": "v/solving-systems-by-graphing-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.mp4/BNHLzEv6Mjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.mp4/BNHLzEv6Mjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BNHLzEv6Mjg.m3u8/BNHLzEv6Mjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BNHLzEv6Mjg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26876", "sha": "3b3608ec8b9babb576876dadd2a73a0218101ae5", "translated_description": "Solving systems by graphing 2", "image_url": "https://img.youtube.com/vi/BNHLzEv6Mjg/hqdefault.jpg", "youtube_id": "BNHLzEv6Mjg", "content_kind": "Video", "readable_id": "solving-systems-by-graphing-2"}, {"translated_youtube_id": "F5Nb6cIRZLU", "relative_url": "/video/solving-systems-by-graphing-3", "has_questions": false, "keywords": "U06_L1_T1_we3, Solving, systems, by, graphing, CC_8_EE_7_a, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-graphing-3", "duration": 308, "translated_title": "Example 3: Graphically solving systems", "translated_description_html": "Solving systems by graphing 3", "id": "26877", "description_html": "Solving systems by graphing 3", "title": "Example 3: Graphically solving systems", "progress_key": "v26877", "edit_slug": "edit/v/26877", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by graphing 3", "extra_properties": null, "node_slug": "v/solving-systems-by-graphing-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.mp4/F5Nb6cIRZLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.mp4/F5Nb6cIRZLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5Nb6cIRZLU.m3u8/F5Nb6cIRZLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F5Nb6cIRZLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26877", "sha": "2ebbde3eb37fa1806cf466acf756f76987d36231", "translated_description": "Solving systems by graphing 3", "image_url": "https://img.youtube.com/vi/F5Nb6cIRZLU/hqdefault.jpg", "youtube_id": "F5Nb6cIRZLU", "content_kind": "Video", "readable_id": "solving-systems-by-graphing-3"}, {"translated_youtube_id": "VhH2nEDCd68", "relative_url": "/video/solving-systems-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-graphically", "duration": 142, "translated_title": "Solving systems graphically", "translated_description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "id": "1112700719", "description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "title": "Solving systems graphically", "progress_key": "v1112700719", "edit_slug": "edit/v/1112700719", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "extra_properties": null, "node_slug": "v/solving-systems-graphically", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T16:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.m3u8/VhH2nEDCd68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhH2nEDCd68&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112700719", "sha": "8922246854322fdbe031bcf45f26a238c58fff5f", "translated_description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "image_url": "https://img.youtube.com/vi/VhH2nEDCd68/hqdefault.jpg", "youtube_id": "VhH2nEDCd68", "content_kind": "Video", "readable_id": "solving-systems-graphically"}], "twitter_url": "", "translated_description": "This tutorial focuses on solving systems graphically. This is covered in several other tutorials, but this one gives you more examples than you can shake a chicken at. Pause the videos and try to do them before Sal does.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial focuses on solving systems graphically. This is covered in several other tutorials, but this one gives you more examples than you can shake a chicken at. Pause the videos and try to do them before Sal does.", "x_pos": 0.0, "node_slug": "systems-through-examples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3694fdbf", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples", "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-through-examples", "slug": "systems-through-examples", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f32b65577656d45e6fdeefaea360afeebed9948d", "standalone_title": "Solving systems through examples", "y_pos": 0.0, "current_revision_key": "f32b65577656d45e6fdeefaea360afeebed9948d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/systems-solutions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-solutions", "translated_standalone_title": "Thinking about solutions to systems", "translated_title": "Thinking about solutions to systems", "gplus_url": "", "id": "x40b53d04", "old_key_name": "F68P2Hra11m4QWPOu6OgPc9dJmQuI-hTXxoaXfB6", "hide": false, "title": "Thinking about solutions to systems", "child_data": [{"kind": "Video", "id": 1116349757}, {"kind": "Video", "id": 1116483367}, {"kind": "Video", "id": 33752763}, {"kind": "Video", "id": 561902042}, {"kind": "Video", "id": 1116353804}, {"kind": "Exercise", "id": "x62f8a7e5"}, {"kind": "Exercise", "id": 426656847}, {"kind": "Video", "id": "x736f77fe"}, {"kind": "Exercise", "id": "xb99abb79"}], "children": [{"translated_youtube_id": "NJRyxmommqQ", "relative_url": "/video/inconsistent-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inconsistent-systems-of-equations", "duration": 565, "translated_title": "Inconsistent systems of equations", "translated_description_html": "Systems of equations without a solution", "id": "1116349757", "description_html": "Systems of equations without a solution", "title": "Inconsistent systems of equations", "progress_key": "v1116349757", "edit_slug": "edit/v/1116349757", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Systems of equations without a solution", "extra_properties": null, "node_slug": "v/inconsistent-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-31T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.m3u8/NJRyxmommqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NJRyxmommqQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116349757", "sha": "0dd46d8e8bb19a00636d8a6f4c1121c9d617b35f", "translated_description": "Systems of equations without a solution", "image_url": "https://img.youtube.com/vi/NJRyxmommqQ/hqdefault.jpg", "youtube_id": "NJRyxmommqQ", "content_kind": "Video", "readable_id": "inconsistent-systems-of-equations"}, {"translated_youtube_id": "MpRUEGD2-_c", "relative_url": "/video/infinite-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infinite-solutions-to-systems", "duration": 428, "translated_title": "Infinite solutions to systems", "translated_description_html": "Consistent, but dependent systems of equations", "id": "1116483367", "description_html": "Consistent, but dependent systems of equations", "title": "Infinite solutions to systems", "progress_key": "v1116483367", "edit_slug": "edit/v/1116483367", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Consistent, but dependent systems of equations", "extra_properties": null, "node_slug": "v/infinite-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:48:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.m3u8/MpRUEGD2-_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MpRUEGD2-_c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116483367", "sha": "ee31fc35ed91c215abd862b97a8e891da162e9ac", "translated_description": "Consistent, but dependent systems of equations", "image_url": "https://img.youtube.com/vi/MpRUEGD2-_c/hqdefault.jpg", "youtube_id": "MpRUEGD2-_c", "content_kind": "Video", "readable_id": "infinite-solutions-to-systems"}, {"translated_youtube_id": "Ix8Nne-a-KQ", "relative_url": "/video/consistent-and-inconsistent-systems", "has_questions": false, "keywords": "u14_l1_t1_we3, Consistent, and, Inconsistent, Systems, CC_8_EE_8_a, CC_8_EE_8_b", "ka_url": "http://www.khanacademy.org/video/consistent-and-inconsistent-systems", "duration": 329, "translated_title": "Consistent and inconsistent systems", "translated_description_html": "Consistent and Inconsistent Systems", "id": "33752763", "description_html": "Consistent and Inconsistent Systems", "title": "Consistent and inconsistent systems", "progress_key": "v33752763", "edit_slug": "edit/v/33752763", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Consistent and Inconsistent Systems", "extra_properties": null, "node_slug": "v/consistent-and-inconsistent-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.m3u8/Ix8Nne-a-KQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ix8Nne-a-KQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752763", "sha": "d04a85de26f7e9e1726820c4a9e9a1b459bbd0bf", "translated_description": "Consistent and Inconsistent Systems", "image_url": "https://img.youtube.com/vi/Ix8Nne-a-KQ/hqdefault.jpg", "youtube_id": "Ix8Nne-a-KQ", "content_kind": "Video", "readable_id": "consistent-and-inconsistent-systems"}, {"translated_youtube_id": "WSpF5uvApLA", "relative_url": "/video/independent-and-dependent-systems", "has_questions": false, "keywords": "u14_l1_t1_we4, Independent, and, Dependent, Systems, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/independent-and-dependent-systems", "duration": 310, "translated_title": "Independent and dependent systems", "translated_description_html": " Independent and Dependent Systems", "id": "561902042", "description_html": " Independent and Dependent Systems", "title": "Independent and dependent systems", "progress_key": "v561902042", "edit_slug": "edit/v/561902042", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Independent and Dependent Systems", "extra_properties": null, "node_slug": "v/independent-and-dependent-systems", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.m3u8/WSpF5uvApLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WSpF5uvApLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561902042", "sha": "fe85fd7d072a8b1ae13373a1d62798687e0b9022", "translated_description": " Independent and Dependent Systems", "image_url": "https://img.youtube.com/vi/WSpF5uvApLA/hqdefault.jpg", "youtube_id": "WSpF5uvApLA", "content_kind": "Video", "readable_id": "independent-and-dependent-systems"}, {"translated_youtube_id": "SuB1gkto9LU", "relative_url": "/video/practice-thinking-about-number-of-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-thinking-about-number-of-solutions-to-systems", "duration": 396, "translated_title": "Practice thinking about number of solutions to systems", "translated_description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "id": "1116353804", "description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "title": "Practice thinking about number of solutions to systems", "progress_key": "v1116353804", "edit_slug": "edit/v/1116353804", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "extra_properties": null, "node_slug": "v/practice-thinking-about-number-of-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-31T16:48:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.m3u8/SuB1gkto9LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SuB1gkto9LU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116353804", "sha": "cb71004b147d1a54f79f84360742131aad958983", "translated_description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "image_url": "https://img.youtube.com/vi/SuB1gkto9LU/hqdefault.jpg", "youtube_id": "SuB1gkto9LU", "content_kind": "Video", "readable_id": "practice-thinking-about-number-of-solutions-to-systems"}, {"translated_youtube_id": "Z96vkuybvjE", "relative_url": "/video/constructing-solutions-to-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-solutions-to-systems-of-equations", "duration": 381, "translated_title": "Constructing solutions to systems of equations", "translated_description_html": "", "id": "x736f77fe", "description_html": "", "title": "Constructing solutions to systems of equations", "progress_key": "vx736f77fe", "edit_slug": "edit/v/x736f77fe", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-solutions-to-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-07-31T00:21:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.mp4/Z96vkuybvjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.mp4/Z96vkuybvjE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z96vkuybvjE.m3u8/Z96vkuybvjE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z96vkuybvjE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx736f77fe", "sha": "ab1c6fd93a619d5bb9bf941d7b9f7af6e9cf000c", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z96vkuybvjE/hqdefault.jpg", "youtube_id": "Z96vkuybvjE", "content_kind": "Video", "readable_id": "constructing-solutions-to-systems-of-equations"}], "twitter_url": "", "translated_description": "You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.", "x_pos": 0.0, "node_slug": "systems-solutions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-31T00:27:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax40b53d04", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-solutions", "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-solutions", "slug": "systems-solutions", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "592ab4ccbce6cb905a1f27c175a7bb2cea374c5a", "standalone_title": "Thinking about solutions to systems", "y_pos": 0.0, "current_revision_key": "592ab4ccbce6cb905a1f27c175a7bb2cea374c5a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/systems-with-substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution", "translated_standalone_title": "Solving systems with substitution", "translated_title": "Solving systems with substitution", "gplus_url": "", "id": "x7977698a", "old_key_name": "_8EfLkAufnmZ1n1EoR5fOqUWDnpNQuBozAPlSJMx", "hide": false, "title": "Solving systems with substitution", "child_data": [{"kind": "Video", "id": 26878}, {"kind": "Video", "id": 26879}, {"kind": "Video", "id": 26880}, {"kind": "Video", "id": 33752769}, {"kind": "Video", "id": 33752770}, {"kind": "Video", "id": 33752771}, {"kind": "Video", "id": 1116433408}, {"kind": "Exercise", "id": 426633747}], "children": [{"translated_youtube_id": "HJV_HY0Sh0s", "relative_url": "/video/solving-systems-by-substitution-1", "has_questions": false, "keywords": "U06_L1_T2_we1, Solving, systems, by, substitution, CC_6_EE_5, CC_8_EE_8_b", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-1", "duration": 224, "translated_title": "Example 1: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 1", "id": "26878", "description_html": "Solving systems by substitution 1", "title": "Example 1: Solving systems by substitution", "progress_key": "v26878", "edit_slug": "edit/v/26878", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 1", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.mp4/HJV_HY0Sh0s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.mp4/HJV_HY0Sh0s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HJV_HY0Sh0s.m3u8/HJV_HY0Sh0s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HJV_HY0Sh0s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26878", "sha": "02e29d056854ac673614999c68c96f982a2decff", "translated_description": "Solving systems by substitution 1", "image_url": "https://img.youtube.com/vi/HJV_HY0Sh0s/hqdefault.jpg", "youtube_id": "HJV_HY0Sh0s", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-1"}, {"translated_youtube_id": "wB3QCk0MGuw", "relative_url": "/video/solving-systems-by-substitution-2", "has_questions": false, "keywords": "U06_L1_T1_we2, Solving, systems, by, substitution, CC_6_EE_5, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-2", "duration": 246, "translated_title": "Example 2: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 2", "id": "26879", "description_html": "Solving systems by substitution 2", "title": "Example 2: Solving systems by substitution", "progress_key": "v26879", "edit_slug": "edit/v/26879", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 2", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.mp4/wB3QCk0MGuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.mp4/wB3QCk0MGuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wB3QCk0MGuw.m3u8/wB3QCk0MGuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wB3QCk0MGuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26879", "sha": "6715fbbda37ce37b38186ebeb8d488bf50e0ae4a", "translated_description": "Solving systems by substitution 2", "image_url": "https://img.youtube.com/vi/wB3QCk0MGuw/hqdefault.jpg", "youtube_id": "wB3QCk0MGuw", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-2"}, {"translated_youtube_id": "0BgUKHTW37E", "relative_url": "/video/solving-systems-by-substitution-3", "has_questions": false, "keywords": "U06_L1_T2_we3, Solving, systems, by, substitution, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-substitution-3", "duration": 364, "translated_title": "Example 3: Solving systems by substitution", "translated_description_html": "Solving systems by substitution 3", "id": "26880", "description_html": "Solving systems by substitution 3", "title": "Example 3: Solving systems by substitution", "progress_key": "v26880", "edit_slug": "edit/v/26880", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by substitution 3", "extra_properties": null, "node_slug": "v/solving-systems-by-substitution-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.mp4/0BgUKHTW37E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.mp4/0BgUKHTW37E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0BgUKHTW37E.m3u8/0BgUKHTW37E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0BgUKHTW37E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26880", "sha": "13974b88037fb22f7dcde83e20617a77057272c8", "translated_description": "Solving systems by substitution 3", "image_url": "https://img.youtube.com/vi/0BgUKHTW37E/hqdefault.jpg", "youtube_id": "0BgUKHTW37E", "content_kind": "Video", "readable_id": "solving-systems-by-substitution-3"}, {"translated_youtube_id": "uzyd_mIJaoc", "relative_url": "/video/the-substitution-method", "has_questions": false, "keywords": "u14_l2_t1_we1, The, Substitution, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/the-substitution-method", "duration": 279, "translated_title": "The substitution method", "translated_description_html": " The Substitution Method", "id": "33752769", "description_html": " The Substitution Method", "title": "The substitution method", "progress_key": "v33752769", "edit_slug": "edit/v/33752769", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " The Substitution Method", "extra_properties": null, "node_slug": "v/the-substitution-method", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.m3u8/uzyd_mIJaoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzyd_mIJaoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752769", "sha": "de214821f8221e700a9d9bb6c097f872318c2506", "translated_description": " The Substitution Method", "image_url": "https://img.youtube.com/vi/uzyd_mIJaoc/hqdefault.jpg", "youtube_id": "uzyd_mIJaoc", "content_kind": "Video", "readable_id": "the-substitution-method"}, {"translated_youtube_id": "2VeqrZ_PMiY", "relative_url": "/video/substitution-method-2", "has_questions": false, "keywords": "u14_l2_t1_we2, Substitution, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_F_3, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/substitution-method-2", "duration": 224, "translated_title": "Substitution method 2", "translated_description_html": "Substitution Method 2", "id": "33752770", "description_html": "Substitution Method 2", "title": "Substitution method 2", "progress_key": "v33752770", "edit_slug": "edit/v/33752770", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Substitution Method 2", "extra_properties": null, "node_slug": "v/substitution-method-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.mp4/2VeqrZ_PMiY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.mp4/2VeqrZ_PMiY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2VeqrZ_PMiY.m3u8/2VeqrZ_PMiY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2VeqrZ_PMiY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752770", "sha": "6c8b7a2886f77e9e66bceebf80d126243bb4e93c", "translated_description": "Substitution Method 2", "image_url": "https://img.youtube.com/vi/2VeqrZ_PMiY/hqdefault.jpg", "youtube_id": "2VeqrZ_PMiY", "content_kind": "Video", "readable_id": "substitution-method-2"}, {"translated_youtube_id": "v6L8--MlnKo", "relative_url": "/video/substitution-method-3", "has_questions": false, "keywords": "u14_l2_t1_we3, Substitution, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/substitution-method-3", "duration": 358, "translated_title": "Substitution method 3", "translated_description_html": "Substitution Method 3", "id": "33752771", "description_html": "Substitution Method 3", "title": "Substitution method 3", "progress_key": "v33752771", "edit_slug": "edit/v/33752771", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Substitution Method 3", "extra_properties": null, "node_slug": "v/substitution-method-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.mp4/v6L8--MlnKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.mp4/v6L8--MlnKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v6L8--MlnKo.m3u8/v6L8--MlnKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v6L8--MlnKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752771", "sha": "cc7bfbdc21ad0c7ec5249d1dc55e834e3c3b112c", "translated_description": "Substitution Method 3", "image_url": "https://img.youtube.com/vi/v6L8--MlnKo/hqdefault.jpg", "youtube_id": "v6L8--MlnKo", "content_kind": "Video", "readable_id": "substitution-method-3"}, {"translated_youtube_id": "GWZKz4F9hWM", "relative_url": "/video/practice-using-substitution-for-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-using-substitution-for-systems", "duration": 261, "translated_title": "Practice using substitution for systems", "translated_description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "id": "1116433408", "description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "title": "Practice using substitution for systems", "progress_key": "v1116433408", "edit_slug": "edit/v/1116433408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "extra_properties": null, "node_slug": "v/practice-using-substitution-for-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:47:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.m3u8/GWZKz4F9hWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GWZKz4F9hWM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116433408", "sha": "7459e35936cb6b9d045fde6091a4c8a75eb28e02", "translated_description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "image_url": "https://img.youtube.com/vi/GWZKz4F9hWM/hqdefault.jpg", "youtube_id": "GWZKz4F9hWM", "content_kind": "Video", "readable_id": "practice-using-substitution-for-systems"}], "twitter_url": "", "translated_description": "This tutorial is focused on solving systems through substitution. This is covered in several other tutorials, but this one focuses on substitution with more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is focused on solving systems through substitution. This is covered in several other tutorials, but this one focuses on substitution with more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does.", "x_pos": 0.0, "node_slug": "systems-with-substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7977698a", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-with-substitution", "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-with-substitution", "slug": "systems-with-substitution", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8dd59f9bd7f7aaec207d0b2aee56488086afab46", "standalone_title": "Solving systems with substitution", "y_pos": 0.0, "current_revision_key": "8dd59f9bd7f7aaec207d0b2aee56488086afab46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination", "translated_standalone_title": "Solving systems with elimination", "translated_title": "Solving systems with elimination (addition-elimination)", "gplus_url": "", "id": "x33f4ceff", "old_key_name": "HrYgurWHBpAhdEx-QqUDK-b905RPZMk6JwMj0PKs", "hide": false, "title": "Solving systems with elimination (addition-elimination)", "child_data": [{"kind": "Video", "id": 26881}, {"kind": "Video", "id": 26882}, {"kind": "Video", "id": 33752772}, {"kind": "Video", "id": 33752773}, {"kind": "Video", "id": 33752774}, {"kind": "Video", "id": 33752775}, {"kind": "Video", "id": 26883}, {"kind": "Video", "id": 1112791956}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 1115141430}, {"kind": "Exercise", "id": 426688097}], "children": [{"translated_youtube_id": "z1hz8-Kri1E", "relative_url": "/video/solving-systems-by-elimination", "has_questions": false, "keywords": "U06_L1_T3_we1, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination", "duration": 351, "translated_title": "Example 1: Solving systems by elimination", "translated_description_html": "Solving systems by elimination", "id": "26881", "description_html": "Solving systems by elimination", "title": "Example 1: Solving systems by elimination", "progress_key": "v26881", "edit_slug": "edit/v/26881", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.m3u8/z1hz8-Kri1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z1hz8-Kri1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26881", "sha": "1da6107f221e8c9b4a68343144124831e800ce7d", "translated_description": "Solving systems by elimination", "image_url": "https://img.youtube.com/vi/z1hz8-Kri1E/hqdefault.jpg", "youtube_id": "z1hz8-Kri1E", "content_kind": "Video", "readable_id": "solving-systems-by-elimination"}, {"translated_youtube_id": "Y6JsEja15Vk", "relative_url": "/video/solving-systems-by-elimination-2", "has_questions": false, "keywords": "U06_L1_T3_we2, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination-2", "duration": 225, "translated_title": "Example 2: Solving systems by elimination", "translated_description_html": "Solving systems by elimination 2", "id": "26882", "description_html": "Solving systems by elimination 2", "title": "Example 2: Solving systems by elimination", "progress_key": "v26882", "edit_slug": "edit/v/26882", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination 2", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.mp4/Y6JsEja15Vk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.mp4/Y6JsEja15Vk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y6JsEja15Vk.m3u8/Y6JsEja15Vk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y6JsEja15Vk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26882", "sha": "484196d6c8da135a942c5ed5fa5acc0ad983972b", "translated_description": "Solving systems by elimination 2", "image_url": "https://img.youtube.com/vi/Y6JsEja15Vk/hqdefault.jpg", "youtube_id": "Y6JsEja15Vk", "content_kind": "Video", "readable_id": "solving-systems-by-elimination-2"}, {"translated_youtube_id": "0P0SCQf-hWQ", "relative_url": "/video/addition-elimination-method-1", "has_questions": false, "keywords": "u14_l2_t2_we1, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-1", "duration": 218, "translated_title": "Addition elimination method 1", "translated_description_html": "Addition Elimination Method 1", "id": "33752772", "description_html": "Addition Elimination Method 1", "title": "Addition elimination method 1", "progress_key": "v33752772", "edit_slug": "edit/v/33752772", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 1", "extra_properties": null, "node_slug": "v/addition-elimination-method-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.m3u8/0P0SCQf-hWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0P0SCQf-hWQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752772", "sha": "eb3f65669f440b951e8ac1e2d90ebc743d29628c", "translated_description": "Addition Elimination Method 1", "image_url": "https://img.youtube.com/vi/0P0SCQf-hWQ/hqdefault.jpg", "youtube_id": "0P0SCQf-hWQ", "content_kind": "Video", "readable_id": "addition-elimination-method-1"}, {"translated_youtube_id": "hJOqGkWElNs", "relative_url": "/video/addition-elimination-method-2", "has_questions": false, "keywords": "u14_l2_t2_we2, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-2", "duration": 266, "translated_title": "Addition elimination method 2", "translated_description_html": "Addition Elimination Method 2", "id": "33752773", "description_html": "Addition Elimination Method 2", "title": "Addition elimination method 2", "progress_key": "v33752773", "edit_slug": "edit/v/33752773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 2", "extra_properties": null, "node_slug": "v/addition-elimination-method-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.m3u8/hJOqGkWElNs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJOqGkWElNs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752773", "sha": "110eb3181cf29a98f49c57086f6d3c9d5f6c4230", "translated_description": "Addition Elimination Method 2", "image_url": "https://img.youtube.com/vi/hJOqGkWElNs/hqdefault.jpg", "youtube_id": "hJOqGkWElNs", "content_kind": "Video", "readable_id": "addition-elimination-method-2"}, {"translated_youtube_id": "mKu0L46Qed4", "relative_url": "/video/addition-elimination-method-3", "has_questions": false, "keywords": "u14_l2_t2_we3, Addition, Elimination, Method, CC_8_EE_8, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_5, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-3", "duration": 305, "translated_title": "Addition elimination method 3", "translated_description_html": "Addition Elimination Method 3", "id": "33752774", "description_html": "Addition Elimination Method 3", "title": "Addition elimination method 3", "progress_key": "v33752774", "edit_slug": "edit/v/33752774", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 3", "extra_properties": null, "node_slug": "v/addition-elimination-method-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.m3u8/mKu0L46Qed4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mKu0L46Qed4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752774", "sha": "cdf172e70b246c1eb5cebb62e8d66373f4785a99", "translated_description": "Addition Elimination Method 3", "image_url": "https://img.youtube.com/vi/mKu0L46Qed4/hqdefault.jpg", "youtube_id": "mKu0L46Qed4", "content_kind": "Video", "readable_id": "addition-elimination-method-3"}, {"translated_youtube_id": "DxSmZ0MDSxM", "relative_url": "/video/addition-elimination-method-4", "has_questions": false, "keywords": "u14_l2_t2_we4, Addition, Elimination, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/addition-elimination-method-4", "duration": 158, "translated_title": "Addition elimination method 4", "translated_description_html": "Addition Elimination Method 4", "id": "33752775", "description_html": "Addition Elimination Method 4", "title": "Addition elimination method 4", "progress_key": "v33752775", "edit_slug": "edit/v/33752775", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition Elimination Method 4", "extra_properties": null, "node_slug": "v/addition-elimination-method-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.m3u8/DxSmZ0MDSxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DxSmZ0MDSxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752775", "sha": "c52919dc38bf44ddfc6642660416c8459d509fea", "translated_description": "Addition Elimination Method 4", "image_url": "https://img.youtube.com/vi/DxSmZ0MDSxM/hqdefault.jpg", "youtube_id": "DxSmZ0MDSxM", "content_kind": "Video", "readable_id": "addition-elimination-method-4"}, {"translated_youtube_id": "Dqp6xOeR3Ls", "relative_url": "/video/solving-systems-by-elimination-3", "has_questions": false, "keywords": "U06_L1_T3_we3, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solving-systems-by-elimination-3", "duration": 297, "translated_title": "Example 3: Solving systems by elimination", "translated_description_html": "Solving systems by elimination 3", "id": "26883", "description_html": "Solving systems by elimination 3", "title": "Example 3: Solving systems by elimination", "progress_key": "v26883", "edit_slug": "edit/v/26883", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving systems by elimination 3", "extra_properties": null, "node_slug": "v/solving-systems-by-elimination-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.mp4/Dqp6xOeR3Ls.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.mp4/Dqp6xOeR3Ls.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dqp6xOeR3Ls.m3u8/Dqp6xOeR3Ls.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dqp6xOeR3Ls&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26883", "sha": "1f226636a89997ad80bbfa0c0eec6a6fa982595c", "translated_description": "Solving systems by elimination 3", "image_url": "https://img.youtube.com/vi/Dqp6xOeR3Ls/hqdefault.jpg", "youtube_id": "Dqp6xOeR3Ls", "content_kind": "Video", "readable_id": "solving-systems-by-elimination-3"}, {"translated_youtube_id": "QrHsibKBVwI", "relative_url": "/video/simple-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-elimination-practice", "duration": 258, "translated_title": "Simple elimination practice", "translated_description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "id": "1112791956", "description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "title": "Simple elimination practice", "progress_key": "v1112791956", "edit_slug": "edit/v/1112791956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "extra_properties": null, "node_slug": "v/simple-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T18:56:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.m3u8/QrHsibKBVwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QrHsibKBVwI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112791956", "sha": "f1394ea93b8c1136bff61990cccd4bdc9c88ab83", "translated_description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "image_url": "https://img.youtube.com/vi/QrHsibKBVwI/hqdefault.jpg", "youtube_id": "QrHsibKBVwI", "content_kind": "Video", "readable_id": "simple-elimination-practice"}, {"translated_youtube_id": "u5dPUHjagSI", "relative_url": "/video/systems-with-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-with-elimination-practice", "duration": 331, "translated_title": "Systems with elimination practice", "translated_description_html": "Example of solving systems of equations with elimination", "id": "1115141430", "description_html": "Example of solving systems of equations with elimination", "title": "Systems with elimination practice", "progress_key": "v1115141430", "edit_slug": "edit/v/1115141430", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving systems of equations with elimination", "extra_properties": null, "node_slug": "v/systems-with-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:04:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.m3u8/u5dPUHjagSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5dPUHjagSI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115141430", "sha": "d587303c8bbf9ffc00cd4f31955536c79ea1642c", "translated_description": "Example of solving systems of equations with elimination", "image_url": "https://img.youtube.com/vi/u5dPUHjagSI/hqdefault.jpg", "youtube_id": "u5dPUHjagSI", "content_kind": "Video", "readable_id": "systems-with-elimination-practice"}], "twitter_url": "", "translated_description": "You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. It is covered in other tutorials, but we give you far more examples here. You'll learn best if you pause the videos and try to do the problem before Sal does.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. It is covered in other tutorials, but we give you far more examples here. You'll learn best if you pause the videos and try to do the problem before Sal does.", "x_pos": 0.0, "node_slug": "solving-systems-addition-elimination", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax33f4ceff", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination", "extended_slug": "math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination", "slug": "solving-systems-addition-elimination", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6b2e001e141466090b92183f46af9e87e593b7d2", "standalone_title": "Solving systems with elimination", "y_pos": 0.0, "current_revision_key": "6b2e001e141466090b92183f46af9e87e593b7d2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems", "translated_standalone_title": "Systems of equations word problems", "translated_title": "Systems of equations word problems", "gplus_url": "", "id": "x48ec903f", "old_key_name": "vC9AWa5LWknba5o0iNloFvfVynD3AXoKZqmwYP0n", "hide": false, "title": "Systems of equations word problems", "child_data": [{"kind": "Video", "id": "x9cf8703a"}, {"kind": "Video", "id": 26781}, {"kind": "Exercise", "id": 449948800}, {"kind": "Video", "id": "x6f9a8813"}, {"kind": "Video", "id": "x2a69cbaa"}, {"kind": "Exercise", "id": "x457f20a9"}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 26884}, {"kind": "Video", "id": 26885}, {"kind": "Video", "id": 26886}, {"kind": "Video", "id": 23566}, {"kind": "Video", "id": 23556}, {"kind": "Video", "id": 23558}, {"kind": "Video", "id": 23560}, {"kind": "Video", "id": 23562}, {"kind": "Video", "id": 23612}], "children": [{"translated_youtube_id": "gRntusF_tVI", "relative_url": "/video/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "duration": 306, "translated_title": "Using a system of equations to find the price of apples and oranges", "translated_description_html": "", "id": "x9cf8703a", "description_html": "", "title": "Using a system of equations to find the price of apples and oranges", "progress_key": "vx9cf8703a", "edit_slug": "edit/v/x9cf8703a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-10T00:09:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.mp4/gRntusF_tVI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.mp4/gRntusF_tVI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gRntusF_tVI.m3u8/gRntusF_tVI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gRntusF_tVI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9cf8703a", "sha": "3fbf906b48c1c1ae890aa0698a91048114d7ea6b", "translated_description": "", "image_url": "https://img.youtube.com/vi/gRntusF_tVI/hqdefault.jpg", "youtube_id": "gRntusF_tVI", "content_kind": "Video", "readable_id": "using-a-system-of-equations-to-find-the-price-of-apples-and-oranges"}, {"translated_youtube_id": "cNlwi6lUCEM", "relative_url": "/video/algebraic-word-problem", "has_questions": false, "keywords": "U02_L1_T3_we1, Algebraic, Word, Problem, CC_6_EE_5, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b", "ka_url": "http://www.khanacademy.org/video/algebraic-word-problem", "duration": 482, "translated_title": "Linear systems word problem with substitution", "translated_description_html": "

Algebraic Word Problem<\/p>\n", "id": "26781", "description_html": "

Algebraic Word Problem<\/p>\n", "title": "Linear systems word problem with substitution", "progress_key": "v26781", "edit_slug": "edit/v/26781", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Algebraic Word Problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/algebraic-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.m3u8/cNlwi6lUCEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cNlwi6lUCEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26781", "sha": "e3abe5a7b3a6bb04782a4b95ebdbb71b37b3ef54", "translated_description": "Algebraic Word Problem\n", "image_url": "https://img.youtube.com/vi/cNlwi6lUCEM/hqdefault.jpg", "youtube_id": "cNlwi6lUCEM", "content_kind": "Video", "readable_id": "algebraic-word-problem"}, {"translated_youtube_id": "grmmM_KhQ4U", "relative_url": "/video/understanding-systems-of-equations-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-systems-of-equations-example", "duration": 255, "translated_title": "Systems of equation to realize you are getting ripped off", "translated_description_html": "", "id": "x6f9a8813", "description_html": "", "title": "Systems of equation to realize you are getting ripped off", "progress_key": "vx6f9a8813", "edit_slug": "edit/v/x6f9a8813", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-systems-of-equations-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:09:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.mp4/grmmM_KhQ4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.mp4/grmmM_KhQ4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/grmmM_KhQ4U.m3u8/grmmM_KhQ4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=grmmM_KhQ4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f9a8813", "sha": "dd05967489d7f3ffe792c9a5d6b1b935f7ff3841", "translated_description": "", "image_url": "https://img.youtube.com/vi/grmmM_KhQ4U/hqdefault.jpg", "youtube_id": "grmmM_KhQ4U", "content_kind": "Video", "readable_id": "understanding-systems-of-equations-example"}, {"translated_youtube_id": "bzseeIVEslA", "relative_url": "/video/understanding-systems-of-equations-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-systems-of-equations-example-2", "duration": 132, "translated_title": "Thinking about multiple solutions to a system of equations", "translated_description_html": "", "id": "x2a69cbaa", "description_html": "", "title": "Thinking about multiple solutions to a system of equations", "progress_key": "vx2a69cbaa", "edit_slug": "edit/v/x2a69cbaa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/understanding-systems-of-equations-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-10T00:09:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.mp4/bzseeIVEslA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.mp4/bzseeIVEslA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bzseeIVEslA.m3u8/bzseeIVEslA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bzseeIVEslA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2a69cbaa", "sha": "30c1de007977ab6d8e88e284ad1c65bf555c468f", "translated_description": "", "image_url": "https://img.youtube.com/vi/bzseeIVEslA/hqdefault.jpg", "youtube_id": "bzseeIVEslA", "content_kind": "Video", "readable_id": "understanding-systems-of-equations-example-2"}, {"translated_youtube_id": "at4T4n4JYNc", "relative_url": "/video/systems-and-rate-problems", "has_questions": false, "keywords": "U06_L2_T1_we1, Systems, and, rate, problems, CC_6_RP_3, CC_6_RP_3_b, CC_7_RP_1, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-and-rate-problems", "duration": 359, "translated_title": "Systems and rate problems", "translated_description_html": "Systems and rate problems", "id": "26884", "description_html": "Systems and rate problems", "title": "Systems and rate problems", "progress_key": "v26884", "edit_slug": "edit/v/26884", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems and rate problems", "extra_properties": null, "node_slug": "v/systems-and-rate-problems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/at4T4n4JYNc.mp4/at4T4n4JYNc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/at4T4n4JYNc.mp4/at4T4n4JYNc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/at4T4n4JYNc.m3u8/at4T4n4JYNc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=at4T4n4JYNc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26884", "sha": "07f1044a36a6f18ee4cb103e640cec9786fd89e2", "translated_description": "Systems and rate problems", "image_url": "https://img.youtube.com/vi/at4T4n4JYNc/hqdefault.jpg", "youtube_id": "at4T4n4JYNc", "content_kind": "Video", "readable_id": "systems-and-rate-problems"}, {"translated_youtube_id": "H5w55UbIZTw", "relative_url": "/video/systems-and-rate-problems-2", "has_questions": false, "keywords": "U06_L2_T1_we2, Systems, and, rate, problems, CC_6_RP_3, CC_6_RP_3_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-and-rate-problems-2", "duration": 604, "translated_title": "Systems and rate problems 2", "translated_description_html": "Systems and rate problems 2", "id": "26885", "description_html": "Systems and rate problems 2", "title": "Systems and rate problems 2", "progress_key": "v26885", "edit_slug": "edit/v/26885", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems and rate problems 2", "extra_properties": null, "node_slug": "v/systems-and-rate-problems-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H5w55UbIZTw.mp4/H5w55UbIZTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H5w55UbIZTw.mp4/H5w55UbIZTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H5w55UbIZTw.m3u8/H5w55UbIZTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H5w55UbIZTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26885", "sha": "2f5164e9dede071ec002029fe54c2c3779c1c0ad", "translated_description": "Systems and rate problems 2", "image_url": "https://img.youtube.com/vi/H5w55UbIZTw/hqdefault.jpg", "youtube_id": "H5w55UbIZTw", "content_kind": "Video", "readable_id": "systems-and-rate-problems-2"}, {"translated_youtube_id": "hTBQUibtnBk", "relative_url": "/video/systems-and-rate-problems-3", "has_questions": false, "keywords": "U06_L2_T1_we3, Systems, and, rate, problems, CC_6_RP_3_b, CC_8_EE_8_c, CC_39336_A-REI_6, CC_39336_F-LE_1_b", "ka_url": "http://www.khanacademy.org/video/systems-and-rate-problems-3", "duration": 296, "translated_title": "Systems and rate problems 3", "translated_description_html": "Systems and rate problems 3", "id": "26886", "description_html": "Systems and rate problems 3", "title": "Systems and rate problems 3", "progress_key": "v26886", "edit_slug": "edit/v/26886", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems and rate problems 3", "extra_properties": null, "node_slug": "v/systems-and-rate-problems-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hTBQUibtnBk.mp4/hTBQUibtnBk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hTBQUibtnBk.mp4/hTBQUibtnBk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hTBQUibtnBk.m3u8/hTBQUibtnBk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hTBQUibtnBk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26886", "sha": "f1b9b7a6447d9d904525c74ee160ca72efdd4ebb", "translated_description": "Systems and rate problems 3", "image_url": "https://img.youtube.com/vi/hTBQUibtnBk/hqdefault.jpg", "youtube_id": "hTBQUibtnBk", "content_kind": "Video", "readable_id": "systems-and-rate-problems-3"}, {"translated_youtube_id": "IPJAi5zWu9U", "relative_url": "/video/officer-on-horseback", "has_questions": false, "keywords": "math, brain, teaser, word, problem", "ka_url": "http://www.khanacademy.org/video/officer-on-horseback", "duration": 534, "translated_title": "Officer on horseback", "translated_description_html": "Not quite a brain teaser but fun nonetheless!", "id": "23566", "description_html": "Not quite a brain teaser but fun nonetheless!", "title": "Officer on horseback", "progress_key": "v23566", "edit_slug": "edit/v/23566", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Not quite a brain teaser but fun nonetheless!", "extra_properties": null, "node_slug": "v/officer-on-horseback", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IPJAi5zWu9U.mp4/IPJAi5zWu9U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IPJAi5zWu9U.mp4/IPJAi5zWu9U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IPJAi5zWu9U.m3u8/IPJAi5zWu9U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IPJAi5zWu9U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23566", "sha": "0c45b21ec88a95d2ab785c889615cb9aa6c38593", "translated_description": "Not quite a brain teaser but fun nonetheless!", "image_url": "https://img.youtube.com/vi/IPJAi5zWu9U/hqdefault.jpg", "youtube_id": "IPJAi5zWu9U", "content_kind": "Video", "readable_id": "officer-on-horseback"}, {"translated_youtube_id": "Nx4Xk5S4HQA", "relative_url": "/video/two-passing-bicycles-word-problem", "has_questions": false, "keywords": "algebra, word, problem, bicycles, rate, distance, time", "ka_url": "http://www.khanacademy.org/video/two-passing-bicycles-word-problem", "duration": 339, "translated_title": "Two passing bicycles word problem", "translated_description_html": "Algebra word problem involving two bicycles passing each other.", "id": "23556", "description_html": "Algebra word problem involving two bicycles passing each other.", "title": "Two passing bicycles word problem", "progress_key": "v23556", "edit_slug": "edit/v/23556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Algebra word problem involving two bicycles passing each other.", "extra_properties": null, "node_slug": "v/two-passing-bicycles-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nx4Xk5S4HQA.mp4/Nx4Xk5S4HQA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nx4Xk5S4HQA.mp4/Nx4Xk5S4HQA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nx4Xk5S4HQA.m3u8/Nx4Xk5S4HQA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nx4Xk5S4HQA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23556", "sha": "3d9e695f1950473219230f7aeb406faaa5cbe2a1", "translated_description": "Algebra word problem involving two bicycles passing each other.", "image_url": "https://img.youtube.com/vi/Nx4Xk5S4HQA/hqdefault.jpg", "youtube_id": "Nx4Xk5S4HQA", "content_kind": "Video", "readable_id": "two-passing-bicycles-word-problem"}, {"translated_youtube_id": "P03ljxjy8Nw", "relative_url": "/video/passed-bike-word-problem", "has_questions": false, "keywords": "algebra, word, problem, brain, teaser", "ka_url": "http://www.khanacademy.org/video/passed-bike-word-problem", "duration": 354, "translated_title": "Passed bike word problem", "translated_description_html": "Fun algebra word problem involving a train passing a bike.", "id": "23558", "description_html": "Fun algebra word problem involving a train passing a bike.", "title": "Passed bike word problem", "progress_key": "v23558", "edit_slug": "edit/v/23558", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fun algebra word problem involving a train passing a bike.", "extra_properties": null, "node_slug": "v/passed-bike-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P03ljxjy8Nw.mp4/P03ljxjy8Nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P03ljxjy8Nw.mp4/P03ljxjy8Nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P03ljxjy8Nw.m3u8/P03ljxjy8Nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P03ljxjy8Nw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23558", "sha": "48e27e8f07a6b73dd1a8bd0fac8e4e3782220080", "translated_description": "Fun algebra word problem involving a train passing a bike.", "image_url": "https://img.youtube.com/vi/P03ljxjy8Nw/hqdefault.jpg", "youtube_id": "P03ljxjy8Nw", "content_kind": "Video", "readable_id": "passed-bike-word-problem"}, {"translated_youtube_id": "qLLjD-g_9ms", "relative_url": "/video/passing-trains", "has_questions": false, "keywords": "algebra, word, problem, rate, velocity, distance, time", "ka_url": "http://www.khanacademy.org/video/passing-trains", "duration": 547, "translated_title": "System of equations for passing trains problem", "translated_description_html": "

Trains passing at different rates.<\/p>\n", "id": "23560", "description_html": "

Trains passing at different rates.<\/p>\n", "title": "System of equations for passing trains problem", "progress_key": "v23560", "edit_slug": "edit/v/23560", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Trains passing at different rates.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/passing-trains", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qLLjD-g_9ms.mp4/qLLjD-g_9ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qLLjD-g_9ms.mp4/qLLjD-g_9ms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qLLjD-g_9ms.m3u8/qLLjD-g_9ms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qLLjD-g_9ms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23560", "sha": "f88f06d7b62248f8c0fe0a5a3338d1fda7262d37", "translated_description": "Trains passing at different rates.\n", "image_url": "https://img.youtube.com/vi/qLLjD-g_9ms/hqdefault.jpg", "youtube_id": "qLLjD-g_9ms", "content_kind": "Video", "readable_id": "passing-trains"}, {"translated_youtube_id": "LYWUHaWwY0c", "relative_url": "/video/overtaking-word-problem", "has_questions": false, "keywords": "algebra, word, problem, brain, teaser", "ka_url": "http://www.khanacademy.org/video/overtaking-word-problem", "duration": 592, "translated_title": "Overtaking word problem", "translated_description_html": "3 people overtaking each other at different rates", "id": "23562", "description_html": "3 people overtaking each other at different rates", "title": "Overtaking word problem", "progress_key": "v23562", "edit_slug": "edit/v/23562", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "3 people overtaking each other at different rates", "extra_properties": null, "node_slug": "v/overtaking-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LYWUHaWwY0c.mp4/LYWUHaWwY0c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LYWUHaWwY0c.mp4/LYWUHaWwY0c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LYWUHaWwY0c.m3u8/LYWUHaWwY0c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LYWUHaWwY0c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23562", "sha": "d8c1ae19f1faca07883361e73c59410b1242c64f", "translated_description": "3 people overtaking each other at different rates", "image_url": "https://img.youtube.com/vi/LYWUHaWwY0c/hqdefault.jpg", "youtube_id": "LYWUHaWwY0c", "content_kind": "Video", "readable_id": "overtaking-word-problem"}, {"translated_youtube_id": "s1QN7sSfBM8", "relative_url": "/video/problem-solving-word-problems-2", "has_questions": false, "keywords": "Problem, Solving, Word, Problems, CC_39336_A-CED_2", "ka_url": "http://www.khanacademy.org/video/problem-solving-word-problems-2", "duration": 740, "translated_title": "Multiple examples of multiple constraint problems", "translated_description_html": "", "id": "23612", "description_html": "", "title": "Multiple examples of multiple constraint problems", "progress_key": "v23612", "edit_slug": "edit/v/23612", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/problem-solving-word-problems-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s1QN7sSfBM8.mp4/s1QN7sSfBM8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s1QN7sSfBM8.mp4/s1QN7sSfBM8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s1QN7sSfBM8.m3u8/s1QN7sSfBM8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s1QN7sSfBM8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23612", "sha": "3e6470a4657e2cfbdb1ff0ee0ee6efc30e2e341c", "translated_description": "", "image_url": "https://img.youtube.com/vi/s1QN7sSfBM8/hqdefault.jpg", "youtube_id": "s1QN7sSfBM8", "content_kind": "Video", "readable_id": "problem-solving-word-problems-2"}], "twitter_url": "", "translated_description": "This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!", "x_pos": 0.0, "node_slug": "systems-word-problems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T00:24:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax48ec903f", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems", "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-word-problems", "slug": "systems-word-problems", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b6bec771fc327cea5c16f8b53ba5950cb8cd4026", "standalone_title": "Systems of equations word problems", "y_pos": 0.0, "current_revision_key": "b6bec771fc327cea5c16f8b53ba5950cb8cd4026", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/system-of-inequalities", "translated_standalone_title": "Systems of inequalities", "translated_title": "Systems of inequalities", "gplus_url": "", "id": "x5ceb677e", "old_key_name": "vDBiYG4n5w5rwT08ttGo49ONj_Eo9kilSR11G5Ut", "hide": false, "title": "Systems of inequalities", "child_data": [{"kind": "Video", "id": 33752767}, {"kind": "Video", "id": 33752766}, {"kind": "Video", "id": 26891}, {"kind": "Video", "id": 2600587}, {"kind": "Exercise", "id": 415898215}, {"kind": "Exercise", "id": 426657621}, {"kind": "Video", "id": 33752768}, {"kind": "Video", "id": 24374}], "children": [{"translated_youtube_id": "XzYNh2wpO0A", "relative_url": "/video/testing-solutions-for-a-system-of-inequalities", "has_questions": false, "keywords": "u14_l1_t2_we2, Testing, Solutions, for, System, of, Inequalities, CC_39336_A-CED_3, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/testing-solutions-for-a-system-of-inequalities", "duration": 75, "translated_title": "Testing solutions for a system of inequalities", "translated_description_html": "Testing Solutions for a System of Inequalities", "id": "33752767", "description_html": "Testing Solutions for a System of Inequalities", "title": "Testing solutions for a system of inequalities", "progress_key": "v33752767", "edit_slug": "edit/v/33752767", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing Solutions for a System of Inequalities", "extra_properties": null, "node_slug": "v/testing-solutions-for-a-system-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XzYNh2wpO0A.mp4/XzYNh2wpO0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XzYNh2wpO0A.mp4/XzYNh2wpO0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XzYNh2wpO0A.m3u8/XzYNh2wpO0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XzYNh2wpO0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752767", "sha": "23c00ddca9b5af640d017eb1804d72fbc2279d90", "translated_description": "Testing Solutions for a System of Inequalities", "image_url": "https://img.youtube.com/vi/XzYNh2wpO0A/hqdefault.jpg", "youtube_id": "XzYNh2wpO0A", "content_kind": "Video", "readable_id": "testing-solutions-for-a-system-of-inequalities"}, {"translated_youtube_id": "CA4S7S-3Lg4", "relative_url": "/video/graphical-system-of-inequalities", "has_questions": false, "keywords": "u14_l1_t2_we1, Graphical, System, of, Inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphical-system-of-inequalities", "duration": 336, "translated_title": "Visualizing the solution set for a system of inequalities", "translated_description_html": "

Visualizing the solution set for a system of inequalities<\/p>\n", "id": "33752766", "description_html": "

Visualizing the solution set for a system of inequalities<\/p>\n", "title": "Visualizing the solution set for a system of inequalities", "progress_key": "v33752766", "edit_slug": "edit/v/33752766", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing the solution set for a system of inequalities\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphical-system-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.mp4/CA4S7S-3Lg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.mp4/CA4S7S-3Lg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.m3u8/CA4S7S-3Lg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CA4S7S-3Lg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752766", "sha": "715f1e474a75ec523c5764251bcd5e4d6ca4abdf", "translated_description": "Visualizing the solution set for a system of inequalities\n", "image_url": "https://img.youtube.com/vi/CA4S7S-3Lg4/hqdefault.jpg", "youtube_id": "CA4S7S-3Lg4", "content_kind": "Video", "readable_id": "graphical-system-of-inequalities"}, {"translated_youtube_id": "YjT3QYfoy4Q", "relative_url": "/video/graphing-systems-of-inequalities-2", "has_questions": false, "keywords": "U06_L3_T1_we2, Graphing, systems, of, inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphing-systems-of-inequalities-2", "duration": 204, "translated_title": "Graphing systems of inequalities", "translated_description_html": "

Graphing systems of inequalities<\/p>\n", "id": "26891", "description_html": "

Graphing systems of inequalities<\/p>\n", "title": "Graphing systems of inequalities", "progress_key": "v26891", "edit_slug": "edit/v/26891", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing systems of inequalities\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-systems-of-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.m3u8/YjT3QYfoy4Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YjT3QYfoy4Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26891", "sha": "a55fd1355adb9fa00d38568bf982fe51e954bf6d", "translated_description": "Graphing systems of inequalities\n", "image_url": "https://img.youtube.com/vi/YjT3QYfoy4Q/hqdefault.jpg", "youtube_id": "YjT3QYfoy4Q", "content_kind": "Video", "readable_id": "graphing-systems-of-inequalities-2"}, {"translated_youtube_id": "BUmLw5m6F9s", "relative_url": "/video/u06-l3-t1-we3-graphing-systems-of-inequalities", "has_questions": false, "keywords": "U06, L3, T1, we3, Graphing, Systems, of, Inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/u06-l3-t1-we3-graphing-systems-of-inequalities", "duration": 585, "translated_title": "Graphing systems of inequalities 2", "translated_description_html": "

Graphing systems of inequalities 2<\/p>\n", "id": "2600587", "description_html": "

Graphing systems of inequalities 2<\/p>\n", "title": "Graphing systems of inequalities 2", "progress_key": "v2600587", "edit_slug": "edit/v/2600587", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Graphing systems of inequalities 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/u06-l3-t1-we3-graphing-systems-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.m3u8/BUmLw5m6F9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BUmLw5m6F9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600587", "sha": "64f06045ea03e14f229260d6153285039c81ff2a", "translated_description": "Graphing systems of inequalities 2\n", "image_url": "https://img.youtube.com/vi/BUmLw5m6F9s/hqdefault.jpg", "youtube_id": "BUmLw5m6F9s", "content_kind": "Video", "readable_id": "u06-l3-t1-we3-graphing-systems-of-inequalities"}, {"translated_youtube_id": "G0fH6blRMHI", "relative_url": "/video/system-of-inequalities-application", "has_questions": false, "keywords": "u14_l1_t2_we3, System, of, Inequalities, Application, CC_39336_A-CED_3, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/system-of-inequalities-application", "duration": 489, "translated_title": "System of inequalities application", "translated_description_html": "System of Inequalities Application", "id": "33752768", "description_html": "System of Inequalities Application", "title": "System of inequalities application", "progress_key": "v33752768", "edit_slug": "edit/v/33752768", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "System of Inequalities Application", "extra_properties": null, "node_slug": "v/system-of-inequalities-application", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G0fH6blRMHI.mp4/G0fH6blRMHI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G0fH6blRMHI.mp4/G0fH6blRMHI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G0fH6blRMHI.m3u8/G0fH6blRMHI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G0fH6blRMHI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752768", "sha": "e4183a2ff309aa6c4fda3082545e62bad3ce741c", "translated_description": "System of Inequalities Application", "image_url": "https://img.youtube.com/vi/G0fH6blRMHI/hqdefault.jpg", "youtube_id": "G0fH6blRMHI", "content_kind": "Video", "readable_id": "system-of-inequalities-application"}, {"translated_youtube_id": "1piZ8oYWh3E", "relative_url": "/video/ca-algebra-i--systems-of-inequalities", "has_questions": false, "keywords": "algebra, systems, of, equations", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--systems-of-inequalities", "duration": 776, "translated_title": "CA Algebra I: Systems of inequalities", "translated_description_html": "33-37, systems of equations and inequalities", "id": "24374", "description_html": "33-37, systems of equations and inequalities", "title": "CA Algebra I: Systems of inequalities", "progress_key": "v24374", "edit_slug": "edit/v/24374", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "33-37, systems of equations and inequalities", "extra_properties": null, "node_slug": "v/ca-algebra-i--systems-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.mp4/1piZ8oYWh3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.mp4/1piZ8oYWh3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.m3u8/1piZ8oYWh3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1piZ8oYWh3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24374", "sha": "e7d1426fba360c6d5c93e56e46dc5ee54c623f81", "translated_description": "33-37, systems of equations and inequalities", "image_url": "https://img.youtube.com/vi/1piZ8oYWh3E/hqdefault.jpg", "youtube_id": "1piZ8oYWh3E", "content_kind": "Video", "readable_id": "ca-algebra-i--systems-of-inequalities"}], "twitter_url": "", "translated_description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", "x_pos": 0.0, "node_slug": "system-of-inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ceb677e", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities", "extended_slug": "math/algebra/systems-of-eq-and-ineq/system-of-inequalities", "slug": "system-of-inequalities", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "edabf31d41571ef0e4207ad7d32d3377ef94ce8f", "standalone_title": "Systems of inequalities", "y_pos": 0.0, "current_revision_key": "edabf31d41571ef0e4207ad7d32d3377ef94ce8f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/fancier-systems", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fancier-systems", "translated_standalone_title": "Systems with three variables", "translated_title": "Systems with three variables", "gplus_url": "", "id": "xca242ffe", "old_key_name": "ffyoBolY1r-S54A1nsId8JDj3K9qsiBpMweRpO0q", "hide": false, "title": "Systems with three variables", "child_data": [{"kind": "Video", "id": 33752776}, {"kind": "Video", "id": 33752777}, {"kind": "Video", "id": 561884164}, {"kind": "Video", "id": 465991886}, {"kind": "Video", "id": 33752778}, {"kind": "Video", "id": 27010}], "children": [{"translated_youtube_id": "pANZpI9sOYg", "relative_url": "/video/systems-of-three-variables", "has_questions": false, "keywords": "u14_l3_t1_we1, Systems, of, Three, Variables, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-of-three-variables", "duration": 503, "translated_title": "Systems of three variables", "translated_description_html": "Systems of Three Variables", "id": "33752776", "description_html": "Systems of Three Variables", "title": "Systems of three variables", "progress_key": "v33752776", "edit_slug": "edit/v/33752776", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems of Three Variables", "extra_properties": null, "node_slug": "v/systems-of-three-variables", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.m3u8/pANZpI9sOYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pANZpI9sOYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752776", "sha": "21d412ee94ea57917af87024d050b2b1c7585bff", "translated_description": "Systems of Three Variables", "image_url": "https://img.youtube.com/vi/pANZpI9sOYg/hqdefault.jpg", "youtube_id": "pANZpI9sOYg", "content_kind": "Video", "readable_id": "systems-of-three-variables"}, {"translated_youtube_id": "f7cX-Ar2cEM", "relative_url": "/video/systems-of-three-variables-2", "has_questions": false, "keywords": "u14_l3_t1_we2, Systems, of, Three, Variables, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-of-three-variables-2", "duration": 420, "translated_title": "Systems of three variables 2", "translated_description_html": "Systems of Three Variables 2", "id": "33752777", "description_html": "Systems of Three Variables 2", "title": "Systems of three variables 2", "progress_key": "v33752777", "edit_slug": "edit/v/33752777", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems of Three Variables 2", "extra_properties": null, "node_slug": "v/systems-of-three-variables-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.mp4/f7cX-Ar2cEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.mp4/f7cX-Ar2cEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.m3u8/f7cX-Ar2cEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f7cX-Ar2cEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752777", "sha": "b20a1e2dd4f297a5363a6b844b964b6e5bf3581c", "translated_description": "Systems of Three Variables 2", "image_url": "https://img.youtube.com/vi/f7cX-Ar2cEM/hqdefault.jpg", "youtube_id": "f7cX-Ar2cEM", "content_kind": "Video", "readable_id": "systems-of-three-variables-2"}, {"translated_youtube_id": "K38zMmtjxEw", "relative_url": "/video/solutions-to-three-variable-system", "has_questions": false, "keywords": "u14_l3_t1_we4, Solutions, to, Three, Variable, System, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solutions-to-three-variable-system", "duration": 274, "translated_title": "Solutions to three variable system", "translated_description_html": " Solutions to Three Variable System", "id": "561884164", "description_html": " Solutions to Three Variable System", "title": "Solutions to three variable system", "progress_key": "v561884164", "edit_slug": "edit/v/561884164", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": " Solutions to Three Variable System", "extra_properties": null, "node_slug": "v/solutions-to-three-variable-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.mp4/K38zMmtjxEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.mp4/K38zMmtjxEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.m3u8/K38zMmtjxEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K38zMmtjxEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561884164", "sha": "6ebb015f0426ddb2e685a94aefa3d91b3012c7cd", "translated_description": " Solutions to Three Variable System", "image_url": "https://img.youtube.com/vi/K38zMmtjxEw/hqdefault.jpg", "youtube_id": "K38zMmtjxEw", "content_kind": "Video", "readable_id": "solutions-to-three-variable-system"}, {"translated_youtube_id": "145zOBT0LD4", "relative_url": "/video/solutions-to-three-variable-system-2", "has_questions": false, "keywords": "u14, l3, t1, we4, Solutions, to, Three, Variable, System", "ka_url": "http://www.khanacademy.org/video/solutions-to-three-variable-system-2", "duration": 306, "translated_title": "Solutions to three variable system 2", "translated_description_html": "u14 l3 t1 we4 Solutions to Three Variable System", "id": "465991886", "description_html": "u14 l3 t1 we4 Solutions to Three Variable System", "title": "Solutions to three variable system 2", "progress_key": "v465991886", "edit_slug": "edit/v/465991886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "u14 l3 t1 we4 Solutions to Three Variable System", "extra_properties": null, "node_slug": "v/solutions-to-three-variable-system-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.m3u8/145zOBT0LD4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=145zOBT0LD4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v465991886", "sha": "e987bfe804c17fbc3be07c463be5ca8847a4ac7d", "translated_description": "u14 l3 t1 we4 Solutions to Three Variable System", "image_url": "https://img.youtube.com/vi/145zOBT0LD4/hqdefault.jpg", "youtube_id": "145zOBT0LD4", "content_kind": "Video", "readable_id": "solutions-to-three-variable-system-2"}, {"translated_youtube_id": "TJaHNxJk5-4", "relative_url": "/video/three-equation-application-problem", "has_questions": false, "keywords": "u14_l3_t1_we3, Three, Equation, Application, Problem, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/three-equation-application-problem", "duration": 496, "translated_title": "Three equation application problem", "translated_description_html": "Three Equation Application Problem", "id": "33752778", "description_html": "Three Equation Application Problem", "title": "Three equation application problem", "progress_key": "v33752778", "edit_slug": "edit/v/33752778", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Three Equation Application Problem", "extra_properties": null, "node_slug": "v/three-equation-application-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.mp4/TJaHNxJk5-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.mp4/TJaHNxJk5-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.m3u8/TJaHNxJk5-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TJaHNxJk5-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752778", "sha": "a420fb52a51a9c5de083c960fd308995b12cc926", "translated_description": "Three Equation Application Problem", "image_url": "https://img.youtube.com/vi/TJaHNxJk5-4/hqdefault.jpg", "youtube_id": "TJaHNxJk5-4", "content_kind": "Video", "readable_id": "three-equation-application-problem"}, {"translated_youtube_id": "FksgVpM_iXs", "relative_url": "/video/non-linear-systems-of-equations-3", "has_questions": false, "keywords": "U10_L2_T2_we3, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-3", "duration": 416, "translated_title": "Non-linear systems of equations 3", "translated_description_html": "Non-Linear Systems of Equations 3", "id": "27010", "description_html": "Non-Linear Systems of Equations 3", "title": "Non-linear systems of equations 3", "progress_key": "v27010", "edit_slug": "edit/v/27010", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 3", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.m3u8/FksgVpM_iXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FksgVpM_iXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27010", "sha": "67539b4460c04da97f7fbf2764145350726f9487", "translated_description": "Non-Linear Systems of Equations 3", "image_url": "https://img.youtube.com/vi/FksgVpM_iXs/hqdefault.jpg", "youtube_id": "FksgVpM_iXs", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-3"}], "twitter_url": "", "translated_description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "x_pos": 0.0, "node_slug": "fancier-systems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca242ffe", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/fancier-systems", "extended_slug": "math/algebra/systems-of-eq-and-ineq/fancier-systems", "slug": "fancier-systems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2fd0aea2449da7fe8fd794afe25b63b5cda15a46", "standalone_title": "Systems with three variables", "y_pos": 0.0, "current_revision_key": "2fd0aea2449da7fe8fd794afe25b63b5cda15a46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/systems-of-eq-and-ineq/nonlinear-systems-alg", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/nonlinear-systems-alg", "translated_standalone_title": "Non-linear systems of equations", "translated_title": "Non-linear systems of equations", "gplus_url": "", "id": "x994d3dc5", "old_key_name": null, "hide": false, "title": "Non-linear systems of equations", "child_data": [{"kind": "Video", "id": 27008}, {"kind": "Video", "id": 27009}, {"kind": "Video", "id": 27010}, {"kind": "Video", "id": "x5bf30ab7"}, {"kind": "Video", "id": "x0698a8ee"}, {"kind": "Video", "id": "x9e7fad26"}, {"kind": "Exercise", "id": "xf7d9445d"}], "children": [{"translated_youtube_id": "hjigR_rHKDI", "relative_url": "/video/non-linear-systems-of-equations-1", "has_questions": false, "keywords": "U10_L2_T2_we1, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_A-REI_7, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-1", "duration": 344, "translated_title": "Non-linear systems of equations 1", "translated_description_html": "Non-Linear Systems of Equations 1", "id": "27008", "description_html": "Non-Linear Systems of Equations 1", "title": "Non-linear systems of equations 1", "progress_key": "v27008", "edit_slug": "edit/v/27008", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 1", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.m3u8/hjigR_rHKDI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hjigR_rHKDI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27008", "sha": "82a48cdb808eedffe9f8a3dd6017ddd0022f9e8d", "translated_description": "Non-Linear Systems of Equations 1", "image_url": "https://img.youtube.com/vi/hjigR_rHKDI/hqdefault.jpg", "youtube_id": "hjigR_rHKDI", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-1"}, {"translated_youtube_id": "XPf8LMu7QSw", "relative_url": "/video/non-linear-systems-of-equations-2", "has_questions": false, "keywords": "U10_L2_T2_we2, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-2", "duration": 501, "translated_title": "Non-linear systems of equations 2", "translated_description_html": "Non-Linear Systems of Equations 2", "id": "27009", "description_html": "Non-Linear Systems of Equations 2", "title": "Non-linear systems of equations 2", "progress_key": "v27009", "edit_slug": "edit/v/27009", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 2", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.m3u8/XPf8LMu7QSw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XPf8LMu7QSw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27009", "sha": "229f81a13a300be4aa0b138389239b5569c3b51d", "translated_description": "Non-Linear Systems of Equations 2", "image_url": "https://img.youtube.com/vi/XPf8LMu7QSw/hqdefault.jpg", "youtube_id": "XPf8LMu7QSw", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-2"}, {"translated_youtube_id": "FksgVpM_iXs", "relative_url": "/video/non-linear-systems-of-equations-3", "has_questions": false, "keywords": "U10_L2_T2_we3, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-3", "duration": 416, "translated_title": "Non-linear systems of equations 3", "translated_description_html": "Non-Linear Systems of Equations 3", "id": "27010", "description_html": "Non-Linear Systems of Equations 3", "title": "Non-linear systems of equations 3", "progress_key": "v27010", "edit_slug": "edit/v/27010", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 3", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.m3u8/FksgVpM_iXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FksgVpM_iXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27010", "sha": "67539b4460c04da97f7fbf2764145350726f9487", "translated_description": "Non-Linear Systems of Equations 3", "image_url": "https://img.youtube.com/vi/FksgVpM_iXs/hqdefault.jpg", "youtube_id": "FksgVpM_iXs", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-3"}, {"translated_youtube_id": "cdY0b4ziR5U", "relative_url": "/video/systems-of-nonlinear-equations-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-1", "duration": 88, "translated_title": "Systems of nonlinear equations 1", "translated_description_html": "", "id": "x5bf30ab7", "description_html": "", "title": "Systems of nonlinear equations 1", "progress_key": "vx5bf30ab7", "edit_slug": "edit/v/x5bf30ab7", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.mp4/cdY0b4ziR5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.mp4/cdY0b4ziR5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.m3u8/cdY0b4ziR5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cdY0b4ziR5U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5bf30ab7", "sha": "65e96d4887c19b49d2735b5dd103898ad765c5ed", "translated_description": "", "image_url": "https://img.youtube.com/vi/cdY0b4ziR5U/hqdefault.jpg", "youtube_id": "cdY0b4ziR5U", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-1"}, {"translated_youtube_id": "GQf1vjfxuo8", "relative_url": "/video/systems-of-nonlinear-equations-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-2", "duration": 214, "translated_title": "Systems of nonlinear equations 2", "translated_description_html": "", "id": "x0698a8ee", "description_html": "", "title": "Systems of nonlinear equations 2", "progress_key": "vx0698a8ee", "edit_slug": "edit/v/x0698a8ee", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.mp4/GQf1vjfxuo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.mp4/GQf1vjfxuo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.m3u8/GQf1vjfxuo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GQf1vjfxuo8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0698a8ee", "sha": "a55ac39f8413ae56d0590b5e158cd4e331feb0f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/GQf1vjfxuo8/hqdefault.jpg", "youtube_id": "GQf1vjfxuo8", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-2"}, {"translated_youtube_id": "swFohliPgmQ", "relative_url": "/video/systems-of-nonlinear-equations-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-3", "duration": 254, "translated_title": "Systems of nonlinear equations 3", "translated_description_html": "", "id": "x9e7fad26", "description_html": "", "title": "Systems of nonlinear equations 3", "progress_key": "vx9e7fad26", "edit_slug": "edit/v/x9e7fad26", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.mp4/swFohliPgmQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.mp4/swFohliPgmQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.m3u8/swFohliPgmQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=swFohliPgmQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9e7fad26", "sha": "c4897b01eb84d99137b8c6230abd4277035790c1", "translated_description": "", "image_url": "https://img.youtube.com/vi/swFohliPgmQ/hqdefault.jpg", "youtube_id": "swFohliPgmQ", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-3"}], "twitter_url": "", "translated_description": "Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "x_pos": 0.0, "node_slug": "nonlinear-systems-alg", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax994d3dc5", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/nonlinear-systems-alg", "extended_slug": "math/algebra/systems-of-eq-and-ineq/nonlinear-systems-alg", "slug": "nonlinear-systems-alg", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b03ef592bb4af4a4540e9bb8a669648abcd8b596", "standalone_title": "Non-linear systems of equations", "y_pos": 0.0, "current_revision_key": "b03ef592bb4af4a4540e9bb8a669648abcd8b596", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing.", "x_pos": 10.0, "node_slug": "systems-of-eq-and-ineq", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd6035bab", "topic_page_url": "/math/algebra/systems-of-eq-and-ineq", "extended_slug": "math/algebra/systems-of-eq-and-ineq", "slug": "systems-of-eq-and-ineq", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "9b1685188924084a60430c011f3aed53cf04f91e", "standalone_title": "Systems of equations and inequalities", "y_pos": 49.0, "current_revision_key": "9b1685188924084a60430c011f3aed53cf04f91e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression", "translated_standalone_title": "Multiplying and factoring expressions", "translated_title": "Multiplying and factoring expressions", "gplus_url": "", "id": "x3686c281", "old_key_name": null, "hide": false, "title": "Multiplying and factoring expressions", "child_data": [{"kind": "Topic", "id": "x8abb53e6"}, {"kind": "Topic", "id": "x35ae39cd"}, {"kind": "Topic", "id": "x4810bf84"}, {"kind": "Topic", "id": "xec066b4a"}, {"kind": "Topic", "id": "xfd7d70f0"}, {"kind": "Topic", "id": "xd5e27883"}, {"kind": "Topic", "id": "xe7d24f8e"}, {"kind": "Topic", "id": "x1b6ed040"}, {"kind": "Topic", "id": "x576c5d63"}, {"kind": "Topic", "id": "x6981a693"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/factoring-special-products", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-special-products", "translated_standalone_title": "Factoring special products", "translated_title": "Factoring special products", "gplus_url": "", "id": "x8abb53e6", "old_key_name": null, "hide": false, "title": "Factoring special products", "child_data": [{"kind": "Video", "id": 23712}, {"kind": "Video", "id": 13179583}, {"kind": "Exercise", "id": 541518385}, {"kind": "Video", "id": 26991}, {"kind": "Exercise", "id": 541433013}, {"kind": "Video", "id": "x828e9a9a"}, {"kind": "Exercise", "id": 725546801}, {"kind": "Video", "id": 13179582}, {"kind": "Video", "id": 26990}, {"kind": "Video", "id": 26989}], "children": [{"translated_youtube_id": "BI_jmI4xRus", "relative_url": "/video/factoring-special-products", "has_questions": false, "keywords": "Factoring, Special, Products, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/factoring-special-products", "duration": 608, "translated_title": "Factoring special products", "translated_description_html": "Factoring Special Products", "id": "23712", "description_html": "Factoring Special Products", "title": "Factoring special products", "progress_key": "v23712", "edit_slug": "edit/v/23712", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Special Products", "extra_properties": null, "node_slug": "v/factoring-special-products", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.m3u8/BI_jmI4xRus.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BI_jmI4xRus&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23712", "sha": "85bddf75b4e14419d80d81b50901b7c78b2364c9", "translated_description": "Factoring Special Products", "image_url": "https://img.youtube.com/vi/BI_jmI4xRus/hqdefault.jpg", "youtube_id": "BI_jmI4xRus", "content_kind": "Video", "readable_id": "factoring-special-products"}, {"translated_youtube_id": "tvnOWIoeeaU", "relative_url": "/video/factoring-difference-of-squares", "has_questions": false, "keywords": "u12_l2_t2_we2, Factoring, difference, of, squares, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-difference-of-squares", "duration": 109, "translated_title": "Example 1: Factoring difference of squares", "translated_description_html": "Factoring difference of squares", "id": "13179583", "description_html": "Factoring difference of squares", "title": "Example 1: Factoring difference of squares", "progress_key": "v13179583", "edit_slug": "edit/v/13179583", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring difference of squares", "extra_properties": null, "node_slug": "v/factoring-difference-of-squares", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.m3u8/tvnOWIoeeaU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvnOWIoeeaU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179583", "sha": "83f407d16d66dff5a1c3ed63d8c35dc52ddef8ec", "translated_description": "Factoring difference of squares", "image_url": "https://img.youtube.com/vi/tvnOWIoeeaU/hqdefault.jpg", "youtube_id": "tvnOWIoeeaU", "content_kind": "Video", "readable_id": "factoring-difference-of-squares"}, {"translated_youtube_id": "YahJQvY396o", "relative_url": "/video/u09-l2-t1-we3-factoring-special-products-3", "has_questions": false, "keywords": "U09_L2_T1_we3, Factoring, Special, Products, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/u09-l2-t1-we3-factoring-special-products-3", "duration": 150, "translated_title": "Example 2: Factoring difference of squares", "translated_description_html": "Factoring difference of squares", "id": "26991", "description_html": "Factoring difference of squares", "title": "Example 2: Factoring difference of squares", "progress_key": "v26991", "edit_slug": "edit/v/26991", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring difference of squares", "extra_properties": null, "node_slug": "v/u09-l2-t1-we3-factoring-special-products-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.m3u8/YahJQvY396o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YahJQvY396o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26991", "sha": "1b5b5242059e840ceb53777754dcbb02e5f117fd", "translated_description": "Factoring difference of squares", "image_url": "https://img.youtube.com/vi/YahJQvY396o/hqdefault.jpg", "youtube_id": "YahJQvY396o", "content_kind": "Video", "readable_id": "u09-l2-t1-we3-factoring-special-products-3"}, {"translated_youtube_id": "jmbg-DKWuc4", "relative_url": "/video/factoring-to-produce-difference-of-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-to-produce-difference-of-squares", "duration": 143, "translated_title": "Factoring to produce difference of squares", "translated_description_html": "", "id": "x828e9a9a", "description_html": "", "title": "Factoring to produce difference of squares", "progress_key": "vx828e9a9a", "edit_slug": "edit/v/x828e9a9a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/factoring-to-produce-difference-of-squares", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T01:03:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.mp4/jmbg-DKWuc4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.mp4/jmbg-DKWuc4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.m3u8/jmbg-DKWuc4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jmbg-DKWuc4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx828e9a9a", "sha": "2b3cbc01205398050ace736d23230438bc25af73", "translated_description": "", "image_url": "https://img.youtube.com/vi/jmbg-DKWuc4/hqdefault.jpg", "youtube_id": "jmbg-DKWuc4", "content_kind": "Video", "readable_id": "factoring-to-produce-difference-of-squares"}, {"translated_youtube_id": "liRNTieIU_k", "relative_url": "/video/factoring-perfect-square-trinomials", "has_questions": false, "keywords": "u12_l2_t2_we1, Factoring, perfect, square, trinomials, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-perfect-square-trinomials", "duration": 294, "translated_title": "Example: Factoring perfect square trinomials", "translated_description_html": "Factoring perfect square trinomials", "id": "13179582", "description_html": "Factoring perfect square trinomials", "title": "Example: Factoring perfect square trinomials", "progress_key": "v13179582", "edit_slug": "edit/v/13179582", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring perfect square trinomials", "extra_properties": null, "node_slug": "v/factoring-perfect-square-trinomials", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/liRNTieIU_k.mp4/liRNTieIU_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/liRNTieIU_k.mp4/liRNTieIU_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/liRNTieIU_k.m3u8/liRNTieIU_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=liRNTieIU_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179582", "sha": "208f0c578a1e89398f10f908759a8218e6c541b0", "translated_description": "Factoring perfect square trinomials", "image_url": "https://img.youtube.com/vi/liRNTieIU_k/hqdefault.jpg", "youtube_id": "liRNTieIU_k", "content_kind": "Video", "readable_id": "factoring-perfect-square-trinomials"}, {"translated_youtube_id": "o-ZbdYVGehI", "relative_url": "/video/factoring-special-products-2", "has_questions": false, "keywords": "U09_L2_T1_we2, Factoring, Special, Products, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-special-products-2", "duration": 145, "translated_title": "Example: Factoring a fourth degree expression", "translated_description_html": "Factoring Special Products 2", "id": "26990", "description_html": "Factoring Special Products 2", "title": "Example: Factoring a fourth degree expression", "progress_key": "v26990", "edit_slug": "edit/v/26990", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Special Products 2", "extra_properties": null, "node_slug": "v/factoring-special-products-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o-ZbdYVGehI.mp4/o-ZbdYVGehI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o-ZbdYVGehI.mp4/o-ZbdYVGehI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o-ZbdYVGehI.m3u8/o-ZbdYVGehI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o-ZbdYVGehI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26990", "sha": "ee64a880ae6ffb113054a8cc9a8a9d59fb43f6d2", "translated_description": "Factoring Special Products 2", "image_url": "https://img.youtube.com/vi/o-ZbdYVGehI/hqdefault.jpg", "youtube_id": "o-ZbdYVGehI", "content_kind": "Video", "readable_id": "factoring-special-products-2"}, {"translated_youtube_id": "XuwldEyWjH0", "relative_url": "/video/u09-l2-t1-we1-factoring-special-products-1", "has_questions": false, "keywords": "U09_L2_T1_we1, Factoring, Special, Products, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/u09-l2-t1-we1-factoring-special-products-1", "duration": 232, "translated_title": "Example: Factoring special products", "translated_description_html": "Factoring Special Products 1", "id": "26989", "description_html": "Factoring Special Products 1", "title": "Example: Factoring special products", "progress_key": "v26989", "edit_slug": "edit/v/26989", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Special Products 1", "extra_properties": null, "node_slug": "v/u09-l2-t1-we1-factoring-special-products-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XuwldEyWjH0.mp4/XuwldEyWjH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XuwldEyWjH0.mp4/XuwldEyWjH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XuwldEyWjH0.m3u8/XuwldEyWjH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XuwldEyWjH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26989", "sha": "6d5da0d5abd0709a14c18c2d4996a255fc1ccc04", "translated_description": "Factoring Special Products 1", "image_url": "https://img.youtube.com/vi/XuwldEyWjH0/hqdefault.jpg", "youtube_id": "XuwldEyWjH0", "content_kind": "Video", "readable_id": "u09-l2-t1-we1-factoring-special-products-1"}], "twitter_url": "", "translated_description": "You will encounter very factorable quadratics that don't always seem so. This tutorial will expand your arsenal by exposing you to special products like difference-of-squares and perfect square quadratics.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You will encounter very factorable quadratics that don't always seem so. This tutorial will expand your arsenal by exposing you to special products like difference-of-squares and perfect square quadratics.", "x_pos": 0.0, "node_slug": "factoring-special-products", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T01:06:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8abb53e6", "topic_page_url": "/math/algebra/multiplying-factoring-expression/factoring-special-products", "extended_slug": "math/algebra/multiplying-factoring-expression/factoring-special-products", "slug": "factoring-special-products", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "86301330da6dc73944c2fb7810a5517ea3c55ef3", "standalone_title": "Factoring special products", "y_pos": 0.0, "current_revision_key": "86301330da6dc73944c2fb7810a5517ea3c55ef3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/multiplying monomials", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying monomials", "translated_standalone_title": "Multiplying monomials", "translated_title": "Multiplying and dividing monomials", "gplus_url": "", "id": "x35ae39cd", "old_key_name": null, "hide": false, "title": "Multiplying and dividing monomials", "child_data": [{"kind": "Video", "id": 13179516}, {"kind": "Video", "id": 13179522}, {"kind": "Video", "id": 26915}, {"kind": "Video", "id": 26916}, {"kind": "Video", "id": 26917}, {"kind": "Video", "id": 13179576}], "children": [{"translated_youtube_id": "ssY1dFl7d30", "relative_url": "/video/multiplying-monomials", "has_questions": false, "keywords": "u11_l2_t3_we1, Multiplying, Monomials, CC_3_G_2, CC_3_MD_7, CC_7_EE_1, CC_8_EE_1, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-monomials", "duration": 65, "translated_title": "Multiplying monomials", "translated_description_html": "Multiplying Monomials", "id": "13179516", "description_html": "Multiplying Monomials", "title": "Multiplying monomials", "progress_key": "v13179516", "edit_slug": "edit/v/13179516", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Monomials", "extra_properties": null, "node_slug": "v/multiplying-monomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ssY1dFl7d30.mp4/ssY1dFl7d30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ssY1dFl7d30.mp4/ssY1dFl7d30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ssY1dFl7d30.m3u8/ssY1dFl7d30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ssY1dFl7d30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179516", "sha": "299901b3655512e7688ca8ec00d5a6cfdd28b117", "translated_description": "Multiplying Monomials", "image_url": "https://img.youtube.com/vi/ssY1dFl7d30/hqdefault.jpg", "youtube_id": "ssY1dFl7d30", "content_kind": "Video", "readable_id": "multiplying-monomials"}, {"translated_youtube_id": "4Eax48gDg9g", "relative_url": "/video/dividing-monomials", "has_questions": false, "keywords": "u11_l2_t5_we1, Dividing, Monomials, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-monomials", "duration": 56, "translated_title": "Dividing monomials", "translated_description_html": "Dividing Monomials", "id": "13179522", "description_html": "Dividing Monomials", "title": "Dividing monomials", "progress_key": "v13179522", "edit_slug": "edit/v/13179522", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Monomials", "extra_properties": null, "node_slug": "v/dividing-monomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Eax48gDg9g.mp4/4Eax48gDg9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Eax48gDg9g.mp4/4Eax48gDg9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Eax48gDg9g.m3u8/4Eax48gDg9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Eax48gDg9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179522", "sha": "58fa20cf4d57eb2dc2928453509ff85eb1b47615", "translated_description": "Dividing Monomials", "image_url": "https://img.youtube.com/vi/4Eax48gDg9g/hqdefault.jpg", "youtube_id": "4Eax48gDg9g", "content_kind": "Video", "readable_id": "dividing-monomials"}, {"translated_youtube_id": "p_61XhXdlxI", "relative_url": "/video/multiplying-and-dividing--monomials-1", "has_questions": false, "keywords": "U08_L1_T1_we1, Multiplying, and, Dividing, Monomials, CC_6_EE_1, CC_6_EE_2_c, CC_6_EE_7, CC_7_EE_4, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing--monomials-1", "duration": 112, "translated_title": "Multiplying and dividing monomials 1", "translated_description_html": "Multiplying and Dividing Monomials 1", "id": "26915", "description_html": "Multiplying and Dividing Monomials 1", "title": "Multiplying and dividing monomials 1", "progress_key": "v26915", "edit_slug": "edit/v/26915", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Monomials 1", "extra_properties": null, "node_slug": "v/multiplying-and-dividing--monomials-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p_61XhXdlxI.mp4/p_61XhXdlxI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p_61XhXdlxI.mp4/p_61XhXdlxI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p_61XhXdlxI.m3u8/p_61XhXdlxI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p_61XhXdlxI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26915", "sha": "9edf6ef3d9f466c3e16d593b687c4b10a38fec15", "translated_description": "Multiplying and Dividing Monomials 1", "image_url": "https://img.youtube.com/vi/p_61XhXdlxI/hqdefault.jpg", "youtube_id": "p_61XhXdlxI", "content_kind": "Video", "readable_id": "multiplying-and-dividing--monomials-1"}, {"translated_youtube_id": "Rtje3kbC9lM", "relative_url": "/video/multiplying-and-dividing-monomials-2", "has_questions": false, "keywords": "U08_L1_T1_we2, Multiplying, and, Dividing, Monomials, CC_6_EE_1, CC_6_EE_2_c, CC_6_EE_7, CC_7_EE_4, CC_7_EE_4_a, CC_8_G_9", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-monomials-2", "duration": 245, "translated_title": "Multiplying and dividing monomials 2", "translated_description_html": "Multiplying and Dividing Monomials 2", "id": "26916", "description_html": "Multiplying and Dividing Monomials 2", "title": "Multiplying and dividing monomials 2", "progress_key": "v26916", "edit_slug": "edit/v/26916", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Monomials 2", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-monomials-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rtje3kbC9lM.mp4/Rtje3kbC9lM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rtje3kbC9lM.mp4/Rtje3kbC9lM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rtje3kbC9lM.m3u8/Rtje3kbC9lM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rtje3kbC9lM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26916", "sha": "8b48b08283735a84a6d4b0c9fa59a9174e07d48e", "translated_description": "Multiplying and Dividing Monomials 2", "image_url": "https://img.youtube.com/vi/Rtje3kbC9lM/hqdefault.jpg", "youtube_id": "Rtje3kbC9lM", "content_kind": "Video", "readable_id": "multiplying-and-dividing-monomials-2"}, {"translated_youtube_id": "abuhkDhowyc", "relative_url": "/video/multiplying-and-dividing-monomials-3", "has_questions": false, "keywords": "U08_L1_T1_we3, Multiplying, and, Dividing, Monomials, CC_6_EE_1, CC_6_EE_2_c, CC_6_EE_7, CC_7_EE_4, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-monomials-3", "duration": 143, "translated_title": "Multiplying and dividing monomials 3", "translated_description_html": "Multiplying and Dividing Monomials 3", "id": "26917", "description_html": "Multiplying and Dividing Monomials 3", "title": "Multiplying and dividing monomials 3", "progress_key": "v26917", "edit_slug": "edit/v/26917", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Monomials 3", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-monomials-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/abuhkDhowyc.mp4/abuhkDhowyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/abuhkDhowyc.mp4/abuhkDhowyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/abuhkDhowyc.m3u8/abuhkDhowyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=abuhkDhowyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26917", "sha": "f972592b1946ad593d7a9731159502c272d3f330", "translated_description": "Multiplying and Dividing Monomials 3", "image_url": "https://img.youtube.com/vi/abuhkDhowyc/hqdefault.jpg", "youtube_id": "abuhkDhowyc", "content_kind": "Video", "readable_id": "multiplying-and-dividing-monomials-3"}, {"translated_youtube_id": "_01wqwsb66E", "relative_url": "/video/monomial-greatest-common-factor", "has_questions": false, "keywords": "u12_l1_t1_we1, Monomial, Greatest, Common, Factor, CC_39336_A-SSE_1_a", "ka_url": "http://www.khanacademy.org/video/monomial-greatest-common-factor", "duration": 193, "translated_title": "Monomial greatest common factor", "translated_description_html": "Monomial Greatest Common Factor", "id": "13179576", "description_html": "Monomial Greatest Common Factor", "title": "Monomial greatest common factor", "progress_key": "v13179576", "edit_slug": "edit/v/13179576", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Monomial Greatest Common Factor", "extra_properties": null, "node_slug": "v/monomial-greatest-common-factor", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:41:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_01wqwsb66E.mp4/_01wqwsb66E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_01wqwsb66E.mp4/_01wqwsb66E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_01wqwsb66E.m3u8/_01wqwsb66E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_01wqwsb66E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179576", "sha": "d0c840e1bd6342c86617839beacc4021f8f7b781", "translated_description": "Monomial Greatest Common Factor", "image_url": "https://img.youtube.com/vi/_01wqwsb66E/hqdefault.jpg", "youtube_id": "_01wqwsb66E", "content_kind": "Video", "readable_id": "monomial-greatest-common-factor"}], "twitter_url": "", "translated_description": "\"Monomials\" sounds like a fancy word, but it just refers to single terms like \"4x\" or \"8xy\" or \"17x^2z\". In this tutorial, we'll learn to multiply and divide them using ideas you're already familiar with (like exponent properties and greatest common factor).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "\"Monomials\" sounds like a fancy word, but it just refers to single terms like \"4x\" or \"8xy\" or \"17x^2z\". In this tutorial, we'll learn to multiply and divide them using ideas you're already familiar with (like exponent properties and greatest common factor).", "x_pos": 0.0, "node_slug": "multiplying monomials", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax35ae39cd", "topic_page_url": "/math/algebra/multiplying-factoring-expression/multiplying monomials", "extended_slug": "math/algebra/multiplying-factoring-expression/multiplying monomials", "slug": "multiplying monomials", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7f3f72ec87cd9aa868c60c77faca73757acd6156", "standalone_title": "Multiplying monomials", "y_pos": 0.0, "current_revision_key": "7f3f72ec87cd9aa868c60c77faca73757acd6156", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/multiplying-binomials", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying-binomials", "translated_standalone_title": "Multiplying binomials", "translated_title": "Multiplying binomials", "gplus_url": "", "id": "x4810bf84", "old_key_name": null, "hide": false, "title": "Multiplying binomials", "child_data": [{"kind": "Video", "id": 26974}, {"kind": "Video", "id": 13179518}, {"kind": "Video", "id": 127771049}, {"kind": "Video", "id": 23704}, {"kind": "Video", "id": 8187337}, {"kind": "Video", "id": 13179521}, {"kind": "Video", "id": 23706}, {"kind": "Video", "id": 13179520}, {"kind": "Video", "id": 26976}, {"kind": "Exercise", "id": 617857186}, {"kind": "Video", "id": 8187338}, {"kind": "Video", "id": 23482}, {"kind": "Exercise", "id": 3023}], "children": [{"translated_youtube_id": "J1HAY8E3gms", "relative_url": "/video/multiplying-polynomials-2", "has_questions": false, "keywords": "U08_L2_T3_we2, Multiplying, Polynomials, CC_7_EE_4_a, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials-2", "duration": 288, "translated_title": "Multiplying binomials word problem", "translated_description_html": "

Multiplying binomials word problem<\/p>\n", "id": "26974", "description_html": "

Multiplying binomials word problem<\/p>\n", "title": "Multiplying binomials word problem", "progress_key": "v26974", "edit_slug": "edit/v/26974", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying binomials word problem\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-polynomials-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J1HAY8E3gms.mp4/J1HAY8E3gms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J1HAY8E3gms.mp4/J1HAY8E3gms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J1HAY8E3gms.m3u8/J1HAY8E3gms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J1HAY8E3gms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26974", "sha": "b167c1c55c4210bdf1ee99379bde6cefe9f3e3fe", "translated_description": "Multiplying binomials word problem\n", "image_url": "https://img.youtube.com/vi/J1HAY8E3gms/hqdefault.jpg", "youtube_id": "J1HAY8E3gms", "content_kind": "Video", "readable_id": "multiplying-polynomials-2"}, {"translated_youtube_id": "ZMLFfTX615w", "relative_url": "/video/multiplying-binomials", "has_questions": false, "keywords": "u11_l2_t3_we3, Multiplying, Binomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-binomials", "duration": 347, "translated_title": "FOIL for multiplying binomials", "translated_description_html": "

FOIL method for multiplying binomials<\/p>\n", "id": "13179518", "description_html": "

FOIL method for multiplying binomials<\/p>\n", "title": "FOIL for multiplying binomials", "progress_key": "v13179518", "edit_slug": "edit/v/13179518", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "FOIL method for multiplying binomials\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-binomials", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZMLFfTX615w.mp4/ZMLFfTX615w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZMLFfTX615w.mp4/ZMLFfTX615w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZMLFfTX615w.m3u8/ZMLFfTX615w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZMLFfTX615w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179518", "sha": "b6e700b37ce432c63acf3ecd799dcd80cca9e2e5", "translated_description": "FOIL method for multiplying binomials\n", "image_url": "https://img.youtube.com/vi/ZMLFfTX615w/hqdefault.jpg", "youtube_id": "ZMLFfTX615w", "content_kind": "Video", "readable_id": "multiplying-binomials"}, {"translated_youtube_id": "yAH3722GrP8", "relative_url": "/video/multiplying-binomials-with-radicals", "has_questions": false, "keywords": "u16_l2_t3_we1, Multiplying, Binomials, with, Radicals", "ka_url": "http://www.khanacademy.org/video/multiplying-binomials-with-radicals", "duration": 364, "translated_title": "Multiplying binomials with radicals", "translated_description_html": "Multiplying Binomials with Radicals", "id": "127771049", "description_html": "Multiplying Binomials with Radicals", "title": "Multiplying binomials with radicals", "progress_key": "v127771049", "edit_slug": "edit/v/127771049", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Binomials with Radicals", "extra_properties": null, "node_slug": "v/multiplying-binomials-with-radicals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yAH3722GrP8.mp4/yAH3722GrP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yAH3722GrP8.mp4/yAH3722GrP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yAH3722GrP8.m3u8/yAH3722GrP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yAH3722GrP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771049", "sha": "55a4a1c36c70d4521857303bb441480b4b27edde", "translated_description": "Multiplying Binomials with Radicals", "image_url": "https://img.youtube.com/vi/yAH3722GrP8/hqdefault.jpg", "youtube_id": "yAH3722GrP8", "content_kind": "Video", "readable_id": "multiplying-binomials-with-radicals"}, {"translated_youtube_id": "fGThIRpWEE4", "relative_url": "/video/multiplication-of-polynomials", "has_questions": false, "keywords": "Multiplication, of, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplication-of-polynomials", "duration": 589, "translated_title": "Multiplying binomials example 1", "translated_description_html": "

Multiplying binomials<\/p>\n", "id": "23704", "description_html": "

Multiplying binomials<\/p>\n", "title": "Multiplying binomials example 1", "progress_key": "v23704", "edit_slug": "edit/v/23704", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying binomials\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplication-of-polynomials", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fGThIRpWEE4.mp4/fGThIRpWEE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fGThIRpWEE4.mp4/fGThIRpWEE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fGThIRpWEE4.m3u8/fGThIRpWEE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fGThIRpWEE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23704", "sha": "f3888ac8716b184550daf3487a096b3bc025ae6a", "translated_description": "Multiplying binomials\n", "image_url": "https://img.youtube.com/vi/fGThIRpWEE4/hqdefault.jpg", "youtube_id": "fGThIRpWEE4", "content_kind": "Video", "readable_id": "multiplication-of-polynomials"}, {"translated_youtube_id": "HB48COey2O8", "relative_url": "/video/multiplying-polynomials1", "has_questions": false, "keywords": "U08_L2_T3_we1, Multiplying, Polynomials1, CC_7_EE_4_a, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials1", "duration": 272, "translated_title": "FOIL method for multiplying binomials example 2", "translated_description_html": "

FOIL method for multiplying binomials example 2<\/p>\n", "id": "8187337", "description_html": "

FOIL method for multiplying binomials example 2<\/p>\n", "title": "FOIL method for multiplying binomials example 2", "progress_key": "v8187337", "edit_slug": "edit/v/8187337", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "FOIL method for multiplying binomials example 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-polynomials1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HB48COey2O8.mp4/HB48COey2O8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HB48COey2O8.mp4/HB48COey2O8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HB48COey2O8.m3u8/HB48COey2O8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HB48COey2O8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187337", "sha": "80f01fb94b2a0883b85335b564bc2d115cd657ed", "translated_description": "FOIL method for multiplying binomials example 2\n", "image_url": "https://img.youtube.com/vi/HB48COey2O8/hqdefault.jpg", "youtube_id": "HB48COey2O8", "content_kind": "Video", "readable_id": "multiplying-polynomials1"}, {"translated_youtube_id": "xjkbR7Gjgjs", "relative_url": "/video/square-a-binomial", "has_questions": false, "keywords": "u11_l2_t4_we2, Square, Binomial, CC_39336_A-APR_1, CC_39336_A-REI_4_a", "ka_url": "http://www.khanacademy.org/video/square-a-binomial", "duration": 218, "translated_title": "Square a binomial", "translated_description_html": "Square a Binomial", "id": "13179521", "description_html": "Square a Binomial", "title": "Square a binomial", "progress_key": "v13179521", "edit_slug": "edit/v/13179521", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Square a Binomial", "extra_properties": null, "node_slug": "v/square-a-binomial", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjkbR7Gjgjs.mp4/xjkbR7Gjgjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjkbR7Gjgjs.mp4/xjkbR7Gjgjs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xjkbR7Gjgjs.m3u8/xjkbR7Gjgjs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xjkbR7Gjgjs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179521", "sha": "28233c89c56ca9245d228a835da8b8cd1270dd78", "translated_description": "Square a Binomial", "image_url": "https://img.youtube.com/vi/xjkbR7Gjgjs/hqdefault.jpg", "youtube_id": "xjkbR7Gjgjs", "content_kind": "Video", "readable_id": "square-a-binomial"}, {"translated_youtube_id": "bFtjG45-Udk", "relative_url": "/video/special-products-of-binomials", "has_questions": false, "keywords": "Special, Products, of, Binomials, CC_39336_A-APR_5", "ka_url": "http://www.khanacademy.org/video/special-products-of-binomials", "duration": 636, "translated_title": "Special products of binomials", "translated_description_html": "Special Products of Binomials", "id": "23706", "description_html": "Special Products of Binomials", "title": "Special products of binomials", "progress_key": "v23706", "edit_slug": "edit/v/23706", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Special Products of Binomials", "extra_properties": null, "node_slug": "v/special-products-of-binomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bFtjG45-Udk.mp4/bFtjG45-Udk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bFtjG45-Udk.mp4/bFtjG45-Udk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bFtjG45-Udk.m3u8/bFtjG45-Udk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bFtjG45-Udk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23706", "sha": "cd9f04703ccedaf7c3c80305c67a9364830efb6d", "translated_description": "Special Products of Binomials", "image_url": "https://img.youtube.com/vi/bFtjG45-Udk/hqdefault.jpg", "youtube_id": "bFtjG45-Udk", "content_kind": "Video", "readable_id": "special-products-of-binomials"}, {"translated_youtube_id": "h6HmHjkA034", "relative_url": "/video/special-polynomials-products-1", "has_questions": false, "keywords": "u11_l2_t4_we1, Special, Polynomials, Products, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/special-polynomials-products-1", "duration": 149, "translated_title": "Multiplying binomials to get difference of squares", "translated_description_html": "

Multiplying binomials to get difference of squares<\/p>\n", "id": "13179520", "description_html": "

Multiplying binomials to get difference of squares<\/p>\n", "title": "Multiplying binomials to get difference of squares", "progress_key": "v13179520", "edit_slug": "edit/v/13179520", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying binomials to get difference of squares\n", "extra_properties": {"original_url": ""}, "node_slug": "v/special-polynomials-products-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h6HmHjkA034.mp4/h6HmHjkA034.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h6HmHjkA034.mp4/h6HmHjkA034.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h6HmHjkA034.m3u8/h6HmHjkA034.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h6HmHjkA034&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179520", "sha": "c8281cc44dd65c65d82d375dc03d13915582bd71", "translated_description": "Multiplying binomials to get difference of squares\n", "image_url": "https://img.youtube.com/vi/h6HmHjkA034/hqdefault.jpg", "youtube_id": "h6HmHjkA034", "content_kind": "Video", "readable_id": "special-polynomials-products-1"}, {"translated_youtube_id": "4GcNzvILqtM", "relative_url": "/video/special-products-of-polynomials-1", "has_questions": false, "keywords": "U08_L2_T4_we1, Special, Products, of, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/special-products-of-polynomials-1", "duration": 199, "translated_title": "Squaring a binomial", "translated_description_html": "

Squaring a binomial<\/p>\n", "id": "26976", "description_html": "

Squaring a binomial<\/p>\n", "title": "Squaring a binomial", "progress_key": "v26976", "edit_slug": "edit/v/26976", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Squaring a binomial\n", "extra_properties": {"original_url": ""}, "node_slug": "v/special-products-of-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4GcNzvILqtM.mp4/4GcNzvILqtM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4GcNzvILqtM.mp4/4GcNzvILqtM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4GcNzvILqtM.m3u8/4GcNzvILqtM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4GcNzvILqtM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26976", "sha": "05d24077878238b120f209b043f5b4723877f711", "translated_description": "Squaring a binomial\n", "image_url": "https://img.youtube.com/vi/4GcNzvILqtM/hqdefault.jpg", "youtube_id": "4GcNzvILqtM", "content_kind": "Video", "readable_id": "special-products-of-polynomials-1"}, {"translated_youtube_id": "4fQeHtSdw80", "relative_url": "/video/special-products-of-polynomials-2", "has_questions": false, "keywords": "U08_L2_T4_we2, Special, Products, of, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/special-products-of-polynomials-2", "duration": 312, "translated_title": "Squaring a binomial example 2", "translated_description_html": "

Squaring a binomial example 2<\/p>\n", "id": "8187338", "description_html": "

Squaring a binomial example 2<\/p>\n", "title": "Squaring a binomial example 2", "progress_key": "v8187338", "edit_slug": "edit/v/8187338", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Squaring a binomial example 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/special-products-of-polynomials-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4fQeHtSdw80.mp4/4fQeHtSdw80.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4fQeHtSdw80.mp4/4fQeHtSdw80.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4fQeHtSdw80.m3u8/4fQeHtSdw80.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4fQeHtSdw80&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187338", "sha": "f6907ad47d278f188ed5cdd03a45c388633a218f", "translated_description": "Squaring a binomial example 2\n", "image_url": "https://img.youtube.com/vi/4fQeHtSdw80/hqdefault.jpg", "youtube_id": "4fQeHtSdw80", "content_kind": "Video", "readable_id": "special-products-of-polynomials-2"}, {"translated_youtube_id": "Sc0e6xrRJYY", "relative_url": "/video/level-1-multiplying-expressions", "has_questions": false, "keywords": "Algebra, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/level-1-multiplying-expressions", "duration": 478, "translated_title": "Classic multiplying binomials video", "translated_description_html": "(Ax+By)(Ax+By)", "id": "23482", "description_html": "(Ax+By)(Ax+By)", "title": "Classic multiplying binomials video", "progress_key": "v23482", "edit_slug": "edit/v/23482", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "(Ax+By)(Ax+By)", "extra_properties": null, "node_slug": "v/level-1-multiplying-expressions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Sc0e6xrRJYY.mp4/Sc0e6xrRJYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Sc0e6xrRJYY.mp4/Sc0e6xrRJYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Sc0e6xrRJYY.m3u8/Sc0e6xrRJYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Sc0e6xrRJYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23482", "sha": "69de5a122d9690da8cbe3551debb2c4072986bc5", "translated_description": "(Ax+By)(Ax+By)", "image_url": "https://img.youtube.com/vi/Sc0e6xrRJYY/hqdefault.jpg", "youtube_id": "Sc0e6xrRJYY", "content_kind": "Video", "readable_id": "level-1-multiplying-expressions"}], "twitter_url": "", "translated_description": "In this tutorial you'll learn that multiplying things like (4x-7)(-9x+5) just require the distributive property that you learned in elementary school. We'll touch on the FOIL method because it seems to be covered in a lot of schools, but we don't like it (we don't think it is good to memorize processes without knowing the why). ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial you'll learn that multiplying things like (4x-7)(-9x+5) just require the distributive property that you learned in elementary school. We'll touch on the FOIL method because it seems to be covered in a lot of schools, but we don't like it (we don't think it is good to memorize processes without knowing the why). ", "x_pos": 0.0, "node_slug": "multiplying-binomials", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4810bf84", "topic_page_url": "/math/algebra/multiplying-factoring-expression/multiplying-binomials", "extended_slug": "math/algebra/multiplying-factoring-expression/multiplying-binomials", "slug": "multiplying-binomials", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca5893fcb2e72e2699cfa072ec4b0667aeed7270", "standalone_title": "Multiplying binomials", "y_pos": 0.0, "current_revision_key": "ca5893fcb2e72e2699cfa072ec4b0667aeed7270", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/Factoring-simple-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/Factoring-simple-expressions", "translated_standalone_title": "Factoring simple expressions", "translated_title": "Factoring simple expressions", "gplus_url": "", "id": "xec066b4a", "old_key_name": null, "hide": false, "title": "Factoring simple expressions", "child_data": [{"kind": "Video", "id": 26982}, {"kind": "Video", "id": "xa1e260c1"}, {"kind": "Exercise", "id": 1126131850}, {"kind": "Video", "id": 26980}, {"kind": "Video", "id": 26981}, {"kind": "Video", "id": 13179577}], "children": [{"translated_youtube_id": "MZl6Mna0leQ", "relative_url": "/video/factoring-and-the-distributive-property-3", "has_questions": false, "keywords": "U09_L1_T1_we3, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-and-the-distributive-property-3", "duration": 354, "translated_title": "Factoring and the distributive property 3", "translated_description_html": "Factoring and the Distributive Property 3", "id": "26982", "description_html": "Factoring and the Distributive Property 3", "title": "Factoring and the distributive property 3", "progress_key": "v26982", "edit_slug": "edit/v/26982", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring and the Distributive Property 3", "extra_properties": null, "node_slug": "v/factoring-and-the-distributive-property-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZl6Mna0leQ.mp4/MZl6Mna0leQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZl6Mna0leQ.mp4/MZl6Mna0leQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MZl6Mna0leQ.m3u8/MZl6Mna0leQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MZl6Mna0leQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26982", "sha": "763cfb23455b1fd5ba92a90813456a237ad3fee9", "translated_description": "Factoring and the Distributive Property 3", "image_url": "https://img.youtube.com/vi/MZl6Mna0leQ/hqdefault.jpg", "youtube_id": "MZl6Mna0leQ", "content_kind": "Video", "readable_id": "factoring-and-the-distributive-property-3"}, {"translated_youtube_id": "mbb3msmX2xs", "relative_url": "/video/factoring-linear-binomials", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-linear-binomials", "duration": 208, "translated_title": "Factoring linear binomials", "translated_description_html": "", "id": "xa1e260c1", "description_html": "", "title": "Factoring linear binomials", "progress_key": "vxa1e260c1", "edit_slug": "edit/v/xa1e260c1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/factoring-linear-binomials", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-06T17:02:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mbb3msmX2xs.mp4/mbb3msmX2xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mbb3msmX2xs.mp4/mbb3msmX2xs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mbb3msmX2xs.m3u8/mbb3msmX2xs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mbb3msmX2xs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa1e260c1", "sha": "d1a26c0b47394650508bf5c4f351c9a673a519a4", "translated_description": "", "image_url": "https://img.youtube.com/vi/mbb3msmX2xs/hqdefault.jpg", "youtube_id": "mbb3msmX2xs", "content_kind": "Video", "readable_id": "factoring-linear-binomials"}, {"translated_youtube_id": "auQU-9KNG74", "relative_url": "/video/factoring-and-the-distributive-property", "has_questions": false, "keywords": "U09_L1_T1_we1, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-and-the-distributive-property", "duration": 185, "translated_title": "Factoring and the distributive property", "translated_description_html": "Factoring and the Distributive Property", "id": "26980", "description_html": "Factoring and the Distributive Property", "title": "Factoring and the distributive property", "progress_key": "v26980", "edit_slug": "edit/v/26980", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring and the Distributive Property", "extra_properties": null, "node_slug": "v/factoring-and-the-distributive-property", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/auQU-9KNG74.mp4/auQU-9KNG74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/auQU-9KNG74.mp4/auQU-9KNG74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/auQU-9KNG74.m3u8/auQU-9KNG74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=auQU-9KNG74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26980", "sha": "5520b586ed7e0fe1330ef89750e6e94e973520f6", "translated_description": "Factoring and the Distributive Property", "image_url": "https://img.youtube.com/vi/auQU-9KNG74/hqdefault.jpg", "youtube_id": "auQU-9KNG74", "content_kind": "Video", "readable_id": "factoring-and-the-distributive-property"}, {"translated_youtube_id": "499MvHFrqUU", "relative_url": "/video/factoring-and-the-distributive-property-2", "has_questions": false, "keywords": "U09_L1_T1_we2, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-and-the-distributive-property-2", "duration": 286, "translated_title": "Factoring and the distributive property 2", "translated_description_html": "Factoring and the Distributive Property 2", "id": "26981", "description_html": "Factoring and the Distributive Property 2", "title": "Factoring and the distributive property 2", "progress_key": "v26981", "edit_slug": "edit/v/26981", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring and the Distributive Property 2", "extra_properties": null, "node_slug": "v/factoring-and-the-distributive-property-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/499MvHFrqUU.mp4/499MvHFrqUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/499MvHFrqUU.mp4/499MvHFrqUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/499MvHFrqUU.m3u8/499MvHFrqUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=499MvHFrqUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26981", "sha": "301c71e8ef2eaca7c52d9649550b3b2759979720", "translated_description": "Factoring and the Distributive Property 2", "image_url": "https://img.youtube.com/vi/499MvHFrqUU/hqdefault.jpg", "youtube_id": "499MvHFrqUU", "content_kind": "Video", "readable_id": "factoring-and-the-distributive-property-2"}, {"translated_youtube_id": "_sIuZHYrdWM", "relative_url": "/video/factor-polynomials-using-the-gcf", "has_questions": false, "keywords": "Factor, polynomials, using, the, GCF, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b", "ka_url": "http://www.khanacademy.org/video/factor-polynomials-using-the-gcf", "duration": 328, "translated_title": "Factor expressions using the GCF", "translated_description_html": "

Factor expressions using the GCF<\/p>\n", "id": "13179577", "description_html": "

Factor expressions using the GCF<\/p>\n", "title": "Factor expressions using the GCF", "progress_key": "v13179577", "edit_slug": "edit/v/13179577", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factor expressions using the GCF\n", "extra_properties": {"original_url": ""}, "node_slug": "v/factor-polynomials-using-the-gcf", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:41:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_sIuZHYrdWM.mp4/_sIuZHYrdWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_sIuZHYrdWM.mp4/_sIuZHYrdWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_sIuZHYrdWM.m3u8/_sIuZHYrdWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_sIuZHYrdWM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179577", "sha": "aee642fed8185bbff77906e06ee6b4b53bdeccea", "translated_description": "Factor expressions using the GCF\n", "image_url": "https://img.youtube.com/vi/_sIuZHYrdWM/hqdefault.jpg", "youtube_id": "_sIuZHYrdWM", "content_kind": "Video", "readable_id": "factor-polynomials-using-the-gcf"}], "twitter_url": "", "translated_description": "You already know a bit about multiplying expressions. We'll now reverse course and look at how to think about an expression as the product of simpler ones (just like we did when we find the factors of numbers).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You already know a bit about multiplying expressions. We'll now reverse course and look at how to think about an expression as the product of simpler ones (just like we did when we find the factors of numbers).", "x_pos": 0.0, "node_slug": "Factoring-simple-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axec066b4a", "topic_page_url": "/math/algebra/multiplying-factoring-expression/Factoring-simple-expressions", "extended_slug": "math/algebra/multiplying-factoring-expression/Factoring-simple-expressions", "slug": "Factoring-simple-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6148e5d1320b15f6328d8886d0d1842267c9f93c", "standalone_title": "Factoring simple expressions", "y_pos": 0.0, "current_revision_key": "6148e5d1320b15f6328d8886d0d1842267c9f93c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions", "translated_standalone_title": "Factoring quadratic expressions", "translated_title": "Factoring quadratic expressions", "gplus_url": "", "id": "xfd7d70f0", "old_key_name": null, "hide": false, "title": "Factoring quadratic expressions", "child_data": [{"kind": "Video", "id": 23710}, {"kind": "Video", "id": 1228073357}, {"kind": "Video", "id": 13179579}, {"kind": "Exercise", "id": 541466377}, {"kind": "Video", "id": 13179580}, {"kind": "Exercise", "id": 688726305}], "children": [{"translated_youtube_id": "eF6zYNzlZKQ", "relative_url": "/video/factoring-quadratic-expressions", "has_questions": false, "keywords": "Factoring, Quadratic, Expressions, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/factoring-quadratic-expressions", "duration": 990, "translated_title": "Factoring quadratic expressions", "translated_description_html": "Factoring Quadratic Expressions", "id": "23710", "description_html": "Factoring Quadratic Expressions", "title": "Factoring quadratic expressions", "progress_key": "v23710", "edit_slug": "edit/v/23710", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Quadratic Expressions", "extra_properties": null, "node_slug": "v/factoring-quadratic-expressions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.m3u8/eF6zYNzlZKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eF6zYNzlZKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23710", "sha": "2362607b136d980e952dec67f7eb5074688b7b70", "translated_description": "Factoring Quadratic Expressions", "image_url": "https://img.youtube.com/vi/eF6zYNzlZKQ/hqdefault.jpg", "youtube_id": "eF6zYNzlZKQ", "content_kind": "Video", "readable_id": "factoring-quadratic-expressions"}, {"translated_youtube_id": "1kfq0aR3ASs", "relative_url": "/video/factoring-polynomials-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-polynomials-1", "duration": 260, "translated_title": "Examples: Factoring simple quadratics", "translated_description_html": "A few examples of factoring quadratics", "id": "1228073357", "description_html": "A few examples of factoring quadratics", "title": "Examples: Factoring simple quadratics", "progress_key": "v1228073357", "edit_slug": "edit/v/1228073357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A few examples of factoring quadratics", "extra_properties": null, "node_slug": "v/factoring-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T20:38:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.mp4/1kfq0aR3ASs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.mp4/1kfq0aR3ASs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.m3u8/1kfq0aR3ASs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1kfq0aR3ASs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228073357", "sha": "ec63ed98bcf26b463ff50cfba561d71669c545c7", "translated_description": "A few examples of factoring quadratics", "image_url": "https://img.youtube.com/vi/1kfq0aR3ASs/hqdefault.jpg", "youtube_id": "1kfq0aR3ASs", "content_kind": "Video", "readable_id": "factoring-polynomials-1"}, {"translated_youtube_id": "nOZTe8jU2g4", "relative_url": "/video/factoring-trinomials-with-a-leading-1-coefficient", "has_questions": false, "keywords": "u12_l2_t1_we1, Factoring, trinomials, with, leading, coefficient, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-with-a-leading-1-coefficient", "duration": 252, "translated_title": "Example 1: Factoring quadratic expressions", "translated_description_html": "Factoring trinomials with a leading 1 coefficient", "id": "13179579", "description_html": "Factoring trinomials with a leading 1 coefficient", "title": "Example 1: Factoring quadratic expressions", "progress_key": "v13179579", "edit_slug": "edit/v/13179579", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring trinomials with a leading 1 coefficient", "extra_properties": null, "node_slug": "v/factoring-trinomials-with-a-leading-1-coefficient", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:41:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nOZTe8jU2g4.mp4/nOZTe8jU2g4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nOZTe8jU2g4.mp4/nOZTe8jU2g4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nOZTe8jU2g4.m3u8/nOZTe8jU2g4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nOZTe8jU2g4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179579", "sha": "7f3dd249d263753e4a5a7b9af47e8093257b47eb", "translated_description": "Factoring trinomials with a leading 1 coefficient", "image_url": "https://img.youtube.com/vi/nOZTe8jU2g4/hqdefault.jpg", "youtube_id": "nOZTe8jU2g4", "content_kind": "Video", "readable_id": "factoring-trinomials-with-a-leading-1-coefficient"}, {"translated_youtube_id": "GMoqg_s4Dl4", "relative_url": "/video/factoring-trinomials-with-a-common-factor", "has_questions": false, "keywords": "u12_l2_t1_we2, Factoring, trinomials, with, common, factor, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-with-a-common-factor", "duration": 301, "translated_title": "Example 1: Factoring trinomials with a common factor", "translated_description_html": "Factoring trinomials with a common factor", "id": "13179580", "description_html": "Factoring trinomials with a common factor", "title": "Example 1: Factoring trinomials with a common factor", "progress_key": "v13179580", "edit_slug": "edit/v/13179580", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring trinomials with a common factor", "extra_properties": null, "node_slug": "v/factoring-trinomials-with-a-common-factor", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:41:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.m3u8/GMoqg_s4Dl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GMoqg_s4Dl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179580", "sha": "467fa7a792a0b354398da7b660e7e1a59f7d4fd8", "translated_description": "Factoring trinomials with a common factor", "image_url": "https://img.youtube.com/vi/GMoqg_s4Dl4/hqdefault.jpg", "youtube_id": "GMoqg_s4Dl4", "content_kind": "Video", "readable_id": "factoring-trinomials-with-a-common-factor"}], "twitter_url": "", "translated_description": "Not only is factoring quadratic expressions (essentially second-degree polynomials) fun, but it is good for you. It will allow you to analyze and solve a whole range of equations. It will allow you to impress people at parties and move up the career ladder. How exciting!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Not only is factoring quadratic expressions (essentially second-degree polynomials) fun, but it is good for you. It will allow you to analyze and solve a whole range of equations. It will allow you to impress people at parties and move up the career ladder. How exciting!", "x_pos": 0.0, "node_slug": "factoring-quadratic-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfd7d70f0", "topic_page_url": "/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions", "extended_slug": "math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions", "slug": "factoring-quadratic-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2c5812caa86d0a5b3a9cf416cb167299ae7c9f29", "standalone_title": "Factoring quadratic expressions", "y_pos": 0.0, "current_revision_key": "2c5812caa86d0a5b3a9cf416cb167299ae7c9f29", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/factoring-by-grouping", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-by-grouping", "translated_standalone_title": "Factoring by grouping", "translated_title": "Factoring by grouping", "gplus_url": "", "id": "xd5e27883", "old_key_name": null, "hide": false, "title": "Factoring by grouping", "child_data": [{"kind": "Video", "id": 23714}, {"kind": "Video", "id": 26983}, {"kind": "Video", "id": 13179581}, {"kind": "Video", "id": 26984}, {"kind": "Video", "id": 26985}, {"kind": "Video", "id": 26986}, {"kind": "Video", "id": 26987}, {"kind": "Video", "id": 26988}, {"kind": "Exercise", "id": 729514670}], "children": [{"translated_youtube_id": "X7B_tH4O-_s", "relative_url": "/video/factor-by-grouping-and-factoring-completely", "has_questions": false, "keywords": "Factor, by, Grouping, and, Factoring, Completely, CC_39336_A-REI_4_b, CC_39336_A-SSE_2, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/factor-by-grouping-and-factoring-completely", "duration": 837, "translated_title": "Factor by grouping and factoring completely", "translated_description_html": "Factor by Grouping and Factoring Completely", "id": "23714", "description_html": "Factor by Grouping and Factoring Completely", "title": "Factor by grouping and factoring completely", "progress_key": "v23714", "edit_slug": "edit/v/23714", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factor by Grouping and Factoring Completely", "extra_properties": null, "node_slug": "v/factor-by-grouping-and-factoring-completely", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X7B_tH4O-_s.mp4/X7B_tH4O-_s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X7B_tH4O-_s.mp4/X7B_tH4O-_s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X7B_tH4O-_s.m3u8/X7B_tH4O-_s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X7B_tH4O-_s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23714", "sha": "308cb2290abd8f0ccdf70b3a8fa9a6bebcc02713", "translated_description": "Factor by Grouping and Factoring Completely", "image_url": "https://img.youtube.com/vi/X7B_tH4O-_s/hqdefault.jpg", "youtube_id": "X7B_tH4O-_s", "content_kind": "Video", "readable_id": "factor-by-grouping-and-factoring-completely"}, {"translated_youtube_id": "HXIj16mjfgk", "relative_url": "/video/factoring-trinomials-by-grouping-1", "has_questions": false, "keywords": "U09_L1_T2_we1, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-1", "duration": 226, "translated_title": "Example: Basic grouping", "translated_description_html": "Factoring Trinomials by Grouping 1", "id": "26983", "description_html": "Factoring Trinomials by Grouping 1", "title": "Example: Basic grouping", "progress_key": "v26983", "edit_slug": "edit/v/26983", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 1", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HXIj16mjfgk.mp4/HXIj16mjfgk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HXIj16mjfgk.mp4/HXIj16mjfgk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HXIj16mjfgk.m3u8/HXIj16mjfgk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HXIj16mjfgk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26983", "sha": "f33a18b74223b46132ff00086ca4afba5d93f6c3", "translated_description": "Factoring Trinomials by Grouping 1", "image_url": "https://img.youtube.com/vi/HXIj16mjfgk/hqdefault.jpg", "youtube_id": "HXIj16mjfgk", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-1"}, {"translated_youtube_id": "ISPxJ6JXT8o", "relative_url": "/video/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping", "has_questions": false, "keywords": "u12_l2_t1_we3, Factoring, trinomials, with, non-1, leading, coefficient, by, grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping", "duration": 339, "translated_title": "Example 1: Factoring by grouping", "translated_description_html": "Factoring trinomials with a non-1 leading coefficient by grouping", "id": "13179581", "description_html": "Factoring trinomials with a non-1 leading coefficient by grouping", "title": "Example 1: Factoring by grouping", "progress_key": "v13179581", "edit_slug": "edit/v/13179581", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring trinomials with a non-1 leading coefficient by grouping", "extra_properties": null, "node_slug": "v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ISPxJ6JXT8o.mp4/ISPxJ6JXT8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ISPxJ6JXT8o.mp4/ISPxJ6JXT8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ISPxJ6JXT8o.m3u8/ISPxJ6JXT8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ISPxJ6JXT8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179581", "sha": "5e516a185f9e57901f604a42bb8b09e2c1bbc7a9", "translated_description": "Factoring trinomials with a non-1 leading coefficient by grouping", "image_url": "https://img.youtube.com/vi/ISPxJ6JXT8o/hqdefault.jpg", "youtube_id": "ISPxJ6JXT8o", "content_kind": "Video", "readable_id": "factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping"}, {"translated_youtube_id": "QQhkEGp-YQQ", "relative_url": "/video/ex2-factoring-quad", "has_questions": false, "keywords": "U09_L1_T2_we2, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/ex2-factoring-quad", "duration": 307, "translated_title": "Example 2: Factoring by grouping", "translated_description_html": "U09_L1_T2_we2 Factoring Trinomials by Grouping 2", "id": "26984", "description_html": "U09_L1_T2_we2 Factoring Trinomials by Grouping 2", "title": "Example 2: Factoring by grouping", "progress_key": "v26984", "edit_slug": "edit/v/26984", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L1_T2_we2 Factoring Trinomials by Grouping 2", "extra_properties": null, "node_slug": "v/ex2-factoring-quad", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QQhkEGp-YQQ.mp4/QQhkEGp-YQQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QQhkEGp-YQQ.mp4/QQhkEGp-YQQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QQhkEGp-YQQ.m3u8/QQhkEGp-YQQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QQhkEGp-YQQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26984", "sha": "68d12ac7de91a6f473b8daa9a7cac18f9d9c2513", "translated_description": "U09_L1_T2_we2 Factoring Trinomials by Grouping 2", "image_url": "https://img.youtube.com/vi/QQhkEGp-YQQ/hqdefault.jpg", "youtube_id": "QQhkEGp-YQQ", "content_kind": "Video", "readable_id": "ex2-factoring-quad"}, {"translated_youtube_id": "fVIZmOQBS5M", "relative_url": "/video/u09-l1-t2-we3-factoring-trinomials", "has_questions": false, "keywords": "U09_L1_T2_we3, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/u09-l1-t2-we3-factoring-trinomials", "duration": 191, "translated_title": "Example 3: Factoring by grouping", "translated_description_html": "Factoring simple quadratic expressions", "id": "26985", "description_html": "Factoring simple quadratic expressions", "title": "Example 3: Factoring by grouping", "progress_key": "v26985", "edit_slug": "edit/v/26985", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring simple quadratic expressions", "extra_properties": null, "node_slug": "v/u09-l1-t2-we3-factoring-trinomials", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fVIZmOQBS5M.mp4/fVIZmOQBS5M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fVIZmOQBS5M.mp4/fVIZmOQBS5M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fVIZmOQBS5M.m3u8/fVIZmOQBS5M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fVIZmOQBS5M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26985", "sha": "877a60df71f7910b5e4d269f6491713ee8788b5e", "translated_description": "Factoring simple quadratic expressions", "image_url": "https://img.youtube.com/vi/fVIZmOQBS5M/hqdefault.jpg", "youtube_id": "fVIZmOQBS5M", "content_kind": "Video", "readable_id": "u09-l1-t2-we3-factoring-trinomials"}, {"translated_youtube_id": "u1SAo2GiX8A", "relative_url": "/video/factoring-trinomials-by-grouping-4", "has_questions": false, "keywords": "U09_L1_T3_we1, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-4", "duration": 235, "translated_title": "Example 4: Factoring by grouping", "translated_description_html": "Factoring Trinomials by Grouping 4", "id": "26986", "description_html": "Factoring Trinomials by Grouping 4", "title": "Example 4: Factoring by grouping", "progress_key": "v26986", "edit_slug": "edit/v/26986", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 4", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1SAo2GiX8A.mp4/u1SAo2GiX8A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1SAo2GiX8A.mp4/u1SAo2GiX8A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u1SAo2GiX8A.m3u8/u1SAo2GiX8A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u1SAo2GiX8A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26986", "sha": "c4cee23d5d2305987afeedb12f8fa570bcec38df", "translated_description": "Factoring Trinomials by Grouping 4", "image_url": "https://img.youtube.com/vi/u1SAo2GiX8A/hqdefault.jpg", "youtube_id": "u1SAo2GiX8A", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-4"}, {"translated_youtube_id": "R-rhSQzFJL0", "relative_url": "/video/factoring-trinomials-by-grouping-5", "has_questions": false, "keywords": "U09_L1_T3_we2, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-5", "duration": 286, "translated_title": "Example 5: Factoring by grouping", "translated_description_html": "Factoring Trinomials by Grouping 5", "id": "26987", "description_html": "Factoring Trinomials by Grouping 5", "title": "Example 5: Factoring by grouping", "progress_key": "v26987", "edit_slug": "edit/v/26987", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 5", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-5", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.m3u8/R-rhSQzFJL0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R-rhSQzFJL0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26987", "sha": "0a25e463504239b0158924c78d9d5461f2142959", "translated_description": "Factoring Trinomials by Grouping 5", "image_url": "https://img.youtube.com/vi/R-rhSQzFJL0/hqdefault.jpg", "youtube_id": "R-rhSQzFJL0", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-5"}, {"translated_youtube_id": "d-2Lcp0QKfI", "relative_url": "/video/factoring-trinomials-by-grouping-6", "has_questions": false, "keywords": "U09_L1_T3_we3, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-6", "duration": 317, "translated_title": "Example 6: Factoring by grouping", "translated_description_html": "Factoring Trinomials by Grouping 6", "id": "26988", "description_html": "Factoring Trinomials by Grouping 6", "title": "Example 6: Factoring by grouping", "progress_key": "v26988", "edit_slug": "edit/v/26988", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 6", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-6", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.m3u8/d-2Lcp0QKfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d-2Lcp0QKfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26988", "sha": "7bc5423bbde9761727574f90179c292648714fa5", "translated_description": "Factoring Trinomials by Grouping 6", "image_url": "https://img.youtube.com/vi/d-2Lcp0QKfI/hqdefault.jpg", "youtube_id": "d-2Lcp0QKfI", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-6"}], "twitter_url": "", "translated_description": "Factoring by grouping is probably the one thing that most people never really learn well. Your fate doesn't have to be the same. In this tutorial, you'll see how factoring by grouping can be used to factor a quadratic expression where the coefficient on the x^2 term is something other than 1? ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Factoring by grouping is probably the one thing that most people never really learn well. Your fate doesn't have to be the same. In this tutorial, you'll see how factoring by grouping can be used to factor a quadratic expression where the coefficient on the x^2 term is something other than 1? ", "x_pos": 0.0, "node_slug": "factoring-by-grouping", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd5e27883", "topic_page_url": "/math/algebra/multiplying-factoring-expression/factoring-by-grouping", "extended_slug": "math/algebra/multiplying-factoring-expression/factoring-by-grouping", "slug": "factoring-by-grouping", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "606b8e54f3bf5d5827c7f3fb7382f3d5687310e2", "standalone_title": "Factoring by grouping", "y_pos": 0.0, "current_revision_key": "606b8e54f3bf5d5827c7f3fb7382f3d5687310e2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/factoring-quadratics-in-two-vari", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratics-in-two-vari", "translated_standalone_title": "Factoring quadratics in two variables", "translated_title": "Factoring quadratics in two variables", "gplus_url": "", "id": "xe7d24f8e", "old_key_name": null, "hide": false, "title": "Factoring quadratics in two variables", "child_data": [{"kind": "Video", "id": "xd24800c6"}, {"kind": "Video", "id": "x97900f0f"}, {"kind": "Exercise", "id": 688778053}], "children": [{"translated_youtube_id": "DRpdoZQtvOM", "relative_url": "/video/factoring-quadratics-with-two-variables", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-quadratics-with-two-variables", "duration": 371, "translated_title": "Factoring quadratics with two variables", "translated_description_html": "", "id": "xd24800c6", "description_html": "", "title": "Factoring quadratics with two variables", "progress_key": "vxd24800c6", "edit_slug": "edit/v/xd24800c6", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/factoring-quadratics-with-two-variables", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T00:50:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRpdoZQtvOM.mp4/DRpdoZQtvOM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRpdoZQtvOM.mp4/DRpdoZQtvOM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRpdoZQtvOM.m3u8/DRpdoZQtvOM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DRpdoZQtvOM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd24800c6", "sha": "12a787fc8ded508805ebdfb5946bcc5710d4d88c", "translated_description": "", "image_url": "https://img.youtube.com/vi/DRpdoZQtvOM/hqdefault.jpg", "youtube_id": "DRpdoZQtvOM", "content_kind": "Video", "readable_id": "factoring-quadratics-with-two-variables"}, {"translated_youtube_id": "0xrvRKHoO2g", "relative_url": "/video/factoring-quadratics-with-two-variables-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-quadratics-with-two-variables-example", "duration": 166, "translated_title": "Factoring quadratics with two variables example", "translated_description_html": "", "id": "x97900f0f", "description_html": "", "title": "Factoring quadratics with two variables example", "progress_key": "vx97900f0f", "edit_slug": "edit/v/x97900f0f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/factoring-quadratics-with-two-variables-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T00:50:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0xrvRKHoO2g.mp4/0xrvRKHoO2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0xrvRKHoO2g.mp4/0xrvRKHoO2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0xrvRKHoO2g.m3u8/0xrvRKHoO2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0xrvRKHoO2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx97900f0f", "sha": "1dd353921f2ac1598a203664a80f8a68a1393f16", "translated_description": "", "image_url": "https://img.youtube.com/vi/0xrvRKHoO2g/hqdefault.jpg", "youtube_id": "0xrvRKHoO2g", "content_kind": "Video", "readable_id": "factoring-quadratics-with-two-variables-example"}], "twitter_url": "", "translated_description": "We'll now extend the application of our quadratic-factoring toolkit, by factoring expressions with two variables. As we'll see, this is really just an extension of what you probably already know (or at least will know after working through this tutorial). Onward!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We'll now extend the application of our quadratic-factoring toolkit, by factoring expressions with two variables. As we'll see, this is really just an extension of what you probably already know (or at least will know after working through this tutorial). Onward!", "x_pos": 0.0, "node_slug": "factoring-quadratics-in-two-vari", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe7d24f8e", "topic_page_url": "/math/algebra/multiplying-factoring-expression/factoring-quadratics-in-two-vari", "extended_slug": "math/algebra/multiplying-factoring-expression/factoring-quadratics-in-two-vari", "slug": "factoring-quadratics-in-two-vari", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "046623ec65b2385aa095bdcc4d45630b1ca4f83c", "standalone_title": "Factoring quadratics in two variables", "y_pos": 0.0, "current_revision_key": "046623ec65b2385aa095bdcc4d45630b1ca4f83c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/polynomial_basics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/polynomial_basics", "translated_standalone_title": "Polynomial basics", "translated_title": "Polynomial basics", "gplus_url": "", "id": "x1b6ed040", "old_key_name": "8XYI7Zvb1mYU5H0bn4_bnPWNySQWdWmtOtjhRMQ2", "hide": false, "title": "Polynomial basics", "child_data": [{"kind": "Video", "id": 13179510}, {"kind": "Video", "id": 1558295}, {"kind": "Video", "id": 8187332}, {"kind": "Video", "id": 26919}, {"kind": "Video", "id": 13179511}, {"kind": "Video", "id": 13179512}, {"kind": "Video", "id": 13179513}, {"kind": "Video", "id": 1159107679}, {"kind": "Video", "id": 23702}, {"kind": "Video", "id": 26920}, {"kind": "Video", "id": 26921}, {"kind": "Video", "id": 26922}, {"kind": "Video", "id": 13179515}, {"kind": "Video", "id": 13179529}, {"kind": "Exercise", "id": 357414238}], "children": [{"translated_youtube_id": "REiDXCN0lGU", "relative_url": "/video/terms-coefficients-and-exponents-in-a-polynomial", "has_questions": false, "keywords": "u11_l2_t1_we1, Terms, coefficients, and, exponents, in, polynomial, CC_6_EE_2_b, CC_39336_A-SSE_1_a", "ka_url": "http://www.khanacademy.org/video/terms-coefficients-and-exponents-in-a-polynomial", "duration": 156, "translated_title": "Terms coefficients and exponents in a polynomial", "translated_description_html": "Terms coefficients and exponents in a polynomial", "id": "13179510", "description_html": "Terms coefficients and exponents in a polynomial", "title": "Terms coefficients and exponents in a polynomial", "progress_key": "v13179510", "edit_slug": "edit/v/13179510", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Terms coefficients and exponents in a polynomial", "extra_properties": null, "node_slug": "v/terms-coefficients-and-exponents-in-a-polynomial", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.mp4/REiDXCN0lGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.mp4/REiDXCN0lGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.m3u8/REiDXCN0lGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=REiDXCN0lGU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179510", "sha": "c2919ec67ec7333abf7c8e9dbe791f6abc81a4ba", "translated_description": "Terms coefficients and exponents in a polynomial", "image_url": "https://img.youtube.com/vi/REiDXCN0lGU/hqdefault.jpg", "youtube_id": "REiDXCN0lGU", "content_kind": "Video", "readable_id": "terms-coefficients-and-exponents-in-a-polynomial"}, {"translated_youtube_id": "hypi8QPsFEk", "relative_url": "/video/interesting-polynomial-coefficient-problem", "has_questions": false, "keywords": "algebra, polynomial, root, zeroes, coefficients", "ka_url": "http://www.khanacademy.org/video/interesting-polynomial-coefficient-problem", "duration": 975, "translated_title": "Interesting polynomial coefficient problem", "translated_description_html": "Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept", "id": "1558295", "description_html": "Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept", "title": "Interesting polynomial coefficient problem", "progress_key": "v1558295", "edit_slug": "edit/v/1558295", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept", "extra_properties": null, "node_slug": "v/interesting-polynomial-coefficient-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hypi8QPsFEk.mp4/hypi8QPsFEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hypi8QPsFEk.mp4/hypi8QPsFEk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hypi8QPsFEk.m3u8/hypi8QPsFEk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hypi8QPsFEk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1558295", "sha": "3d25a0f1ffbb02729eeffeab6fc4be0827971ae7", "translated_description": "Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept", "image_url": "https://img.youtube.com/vi/hypi8QPsFEk/hqdefault.jpg", "youtube_id": "hypi8QPsFEk", "content_kind": "Video", "readable_id": "interesting-polynomial-coefficient-problem"}, {"translated_youtube_id": "EvvxBdNIUeQ", "relative_url": "/video/polynomials1", "has_questions": false, "keywords": "U08_L2_T1_we1, Polynomials1, CC_6_EE_2_c, CC_7_G_1, CC_7_G_4, CC_7_G_6, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/polynomials1", "duration": 277, "translated_title": "Polynomials1", "translated_description_html": "Polynomials1", "id": "8187332", "description_html": "Polynomials1", "title": "Polynomials1", "progress_key": "v8187332", "edit_slug": "edit/v/8187332", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Polynomials1", "extra_properties": null, "node_slug": "v/polynomials1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EvvxBdNIUeQ.mp4/EvvxBdNIUeQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EvvxBdNIUeQ.mp4/EvvxBdNIUeQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EvvxBdNIUeQ.m3u8/EvvxBdNIUeQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EvvxBdNIUeQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187332", "sha": "08383e710dc5ab727bf7e70816790cae5fa8907b", "translated_description": "Polynomials1", "image_url": "https://img.youtube.com/vi/EvvxBdNIUeQ/hqdefault.jpg", "youtube_id": "EvvxBdNIUeQ", "content_kind": "Video", "readable_id": "polynomials1"}, {"translated_youtube_id": "IGs7IB48Fvg", "relative_url": "/video/polynomials-2", "has_questions": false, "keywords": "U08_L2_T1_we2, Polynomials, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/polynomials-2", "duration": 84, "translated_title": "Polynomials 2", "translated_description_html": "Polynomials 2", "id": "26919", "description_html": "Polynomials 2", "title": "Polynomials 2", "progress_key": "v26919", "edit_slug": "edit/v/26919", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Polynomials 2", "extra_properties": null, "node_slug": "v/polynomials-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IGs7IB48Fvg.mp4/IGs7IB48Fvg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IGs7IB48Fvg.mp4/IGs7IB48Fvg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IGs7IB48Fvg.m3u8/IGs7IB48Fvg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IGs7IB48Fvg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26919", "sha": "2b3954f8427128b2beaa8b21762c39db69966a83", "translated_description": "Polynomials 2", "image_url": "https://img.youtube.com/vi/IGs7IB48Fvg/hqdefault.jpg", "youtube_id": "IGs7IB48Fvg", "content_kind": "Video", "readable_id": "polynomials-2"}, {"translated_youtube_id": "03yq7XsErqo", "relative_url": "/video/evaluating-a-polynomial-at-a-given-value", "has_questions": false, "keywords": "u11_l2_t1_we2, Evaluating, polynomial, at, given, value, CC_39336_A-REI_4", "ka_url": "http://www.khanacademy.org/video/evaluating-a-polynomial-at-a-given-value", "duration": 69, "translated_title": "Evaluating a polynomial at a given value", "translated_description_html": "Evaluating a polynomial at a given value", "id": "13179511", "description_html": "Evaluating a polynomial at a given value", "title": "Evaluating a polynomial at a given value", "progress_key": "v13179511", "edit_slug": "edit/v/13179511", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Evaluating a polynomial at a given value", "extra_properties": null, "node_slug": "v/evaluating-a-polynomial-at-a-given-value", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/03yq7XsErqo.mp4/03yq7XsErqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/03yq7XsErqo.mp4/03yq7XsErqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/03yq7XsErqo.m3u8/03yq7XsErqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=03yq7XsErqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179511", "sha": "937c088a72d300e30b3ede32a319415c562ecdda", "translated_description": "Evaluating a polynomial at a given value", "image_url": "https://img.youtube.com/vi/03yq7XsErqo/hqdefault.jpg", "youtube_id": "03yq7XsErqo", "content_kind": "Video", "readable_id": "evaluating-a-polynomial-at-a-given-value"}, {"translated_youtube_id": "vN0aL-_vIKM", "relative_url": "/video/simply-a-polynomial", "has_questions": false, "keywords": "u11_l2_t1_we3, Simplify, polynomial", "ka_url": "http://www.khanacademy.org/video/simply-a-polynomial", "duration": 217, "translated_title": "Simplify a polynomial", "translated_description_html": "Working through simplifying a polynomial", "id": "13179512", "description_html": "Working through simplifying a polynomial", "title": "Simplify a polynomial", "progress_key": "v13179512", "edit_slug": "edit/v/13179512", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Working through simplifying a polynomial", "extra_properties": {"original_url": ""}, "node_slug": "v/simply-a-polynomial", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vN0aL-_vIKM.mp4/vN0aL-_vIKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vN0aL-_vIKM.mp4/vN0aL-_vIKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vN0aL-_vIKM.m3u8/vN0aL-_vIKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vN0aL-_vIKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179512", "sha": "7384e392207c11fedece05b5818408a491e85a55", "translated_description": "Working through simplifying a polynomial", "image_url": "https://img.youtube.com/vi/vN0aL-_vIKM/hqdefault.jpg", "youtube_id": "vN0aL-_vIKM", "content_kind": "Video", "readable_id": "simply-a-polynomial"}, {"translated_youtube_id": "Oe1PKI_6-38", "relative_url": "/video/adding-polynomials", "has_questions": false, "keywords": "u11_l2_t2_we1, Adding, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/adding-polynomials", "duration": 130, "translated_title": "Adding polynomials", "translated_description_html": "Adding Polynomials", "id": "13179513", "description_html": "Adding Polynomials", "title": "Adding polynomials", "progress_key": "v13179513", "edit_slug": "edit/v/13179513", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Polynomials", "extra_properties": null, "node_slug": "v/adding-polynomials", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oe1PKI_6-38.mp4/Oe1PKI_6-38.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oe1PKI_6-38.mp4/Oe1PKI_6-38.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oe1PKI_6-38.m3u8/Oe1PKI_6-38.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oe1PKI_6-38&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179513", "sha": "d4348cb645938701f50f36305843f9b746e25989", "translated_description": "Adding Polynomials", "image_url": "https://img.youtube.com/vi/Oe1PKI_6-38/hqdefault.jpg", "youtube_id": "Oe1PKI_6-38", "content_kind": "Video", "readable_id": "adding-polynomials"}, {"translated_youtube_id": "jroamh6SIo0", "relative_url": "/video/example--adding-polynomials-with-multiple-variables", "has_questions": false, "keywords": "polynomial simplifying", "ka_url": "http://www.khanacademy.org/video/example--adding-polynomials-with-multiple-variables", "duration": 150, "translated_title": "Example: Adding polynomials with multiple variables", "translated_description_html": "Basic example of simplifying a polynomial expression with multiple variables.", "id": "1159107679", "description_html": "Basic example of simplifying a polynomial expression with multiple variables.", "title": "Example: Adding polynomials with multiple variables", "progress_key": "v1159107679", "edit_slug": "edit/v/1159107679", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic example of simplifying a polynomial expression with multiple variables.", "extra_properties": null, "node_slug": "v/example--adding-polynomials-with-multiple-variables", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-11-19T15:36:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jroamh6SIo0.mp4/jroamh6SIo0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jroamh6SIo0.mp4/jroamh6SIo0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jroamh6SIo0.m3u8/jroamh6SIo0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jroamh6SIo0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159107679", "sha": "a526ad628862dde6ba3a6252235747dd86b4a0eb", "translated_description": "Basic example of simplifying a polynomial expression with multiple variables.", "image_url": "https://img.youtube.com/vi/jroamh6SIo0/hqdefault.jpg", "youtube_id": "jroamh6SIo0", "content_kind": "Video", "readable_id": "example--adding-polynomials-with-multiple-variables"}, {"translated_youtube_id": "ZgFXL6SEUiI", "relative_url": "/video/addition-and-subtraction-of-polynomials", "has_questions": false, "keywords": "Addition, and, Subtraction, of, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/addition-and-subtraction-of-polynomials", "duration": 959, "translated_title": "Addition and subtraction of polynomials", "translated_description_html": "Addition and Subtraction of Polynomials", "id": "23702", "description_html": "Addition and Subtraction of Polynomials", "title": "Addition and subtraction of polynomials", "progress_key": "v23702", "edit_slug": "edit/v/23702", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition and Subtraction of Polynomials", "extra_properties": null, "node_slug": "v/addition-and-subtraction-of-polynomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.mp4/ZgFXL6SEUiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.mp4/ZgFXL6SEUiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.m3u8/ZgFXL6SEUiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZgFXL6SEUiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23702", "sha": "e51e39866b24163b4be01ce8dfce623bb6df5c58", "translated_description": "Addition and Subtraction of Polynomials", "image_url": "https://img.youtube.com/vi/ZgFXL6SEUiI/hqdefault.jpg", "youtube_id": "ZgFXL6SEUiI", "content_kind": "Video", "readable_id": "addition-and-subtraction-of-polynomials"}, {"translated_youtube_id": "ahdKdxsTj8E", "relative_url": "/video/adding-and-subtracting-polynomials-1", "has_questions": false, "keywords": "U08_L2_T2_we1, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-polynomials-1", "duration": 121, "translated_title": "Adding and subtracting polynomials 1", "translated_description_html": "Adding and Subtracting Polynomials 1", "id": "26920", "description_html": "Adding and Subtracting Polynomials 1", "title": "Adding and subtracting polynomials 1", "progress_key": "v26920", "edit_slug": "edit/v/26920", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and Subtracting Polynomials 1", "extra_properties": null, "node_slug": "v/adding-and-subtracting-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ahdKdxsTj8E.mp4/ahdKdxsTj8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ahdKdxsTj8E.mp4/ahdKdxsTj8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ahdKdxsTj8E.m3u8/ahdKdxsTj8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ahdKdxsTj8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26920", "sha": "48685cf043e11969280329d34ef02f00f5aa18e7", "translated_description": "Adding and Subtracting Polynomials 1", "image_url": "https://img.youtube.com/vi/ahdKdxsTj8E/hqdefault.jpg", "youtube_id": "ahdKdxsTj8E", "content_kind": "Video", "readable_id": "adding-and-subtracting-polynomials-1"}, {"translated_youtube_id": "ZGl2ExHwdak", "relative_url": "/video/adding-and-subtracting-polynomials-2", "has_questions": false, "keywords": "U08_L2_T2_we2, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-polynomials-2", "duration": 104, "translated_title": "Adding and subtracting polynomials 2", "translated_description_html": "Adding and Subtracting Polynomials 2", "id": "26921", "description_html": "Adding and Subtracting Polynomials 2", "title": "Adding and subtracting polynomials 2", "progress_key": "v26921", "edit_slug": "edit/v/26921", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and Subtracting Polynomials 2", "extra_properties": null, "node_slug": "v/adding-and-subtracting-polynomials-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZGl2ExHwdak.mp4/ZGl2ExHwdak.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZGl2ExHwdak.mp4/ZGl2ExHwdak.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZGl2ExHwdak.m3u8/ZGl2ExHwdak.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZGl2ExHwdak&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26921", "sha": "b67be61ce57bd0058ddec2f79ddf45f8594a4d9e", "translated_description": "Adding and Subtracting Polynomials 2", "image_url": "https://img.youtube.com/vi/ZGl2ExHwdak/hqdefault.jpg", "youtube_id": "ZGl2ExHwdak", "content_kind": "Video", "readable_id": "adding-and-subtracting-polynomials-2"}, {"translated_youtube_id": "DMyhUb1pZT0", "relative_url": "/video/adding-and-subtracting-polynomials-3", "has_questions": false, "keywords": "U08_L2_T2_we3, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-polynomials-3", "duration": 147, "translated_title": "Adding and subtracting polynomials 3", "translated_description_html": "Adding and Subtracting Polynomials 3", "id": "26922", "description_html": "Adding and Subtracting Polynomials 3", "title": "Adding and subtracting polynomials 3", "progress_key": "v26922", "edit_slug": "edit/v/26922", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Adding and Subtracting Polynomials 3", "extra_properties": null, "node_slug": "v/adding-and-subtracting-polynomials-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DMyhUb1pZT0.mp4/DMyhUb1pZT0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DMyhUb1pZT0.mp4/DMyhUb1pZT0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DMyhUb1pZT0.m3u8/DMyhUb1pZT0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DMyhUb1pZT0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26922", "sha": "eab825ec3af96c3528d54e367cae499f52aa83d1", "translated_description": "Adding and Subtracting Polynomials 3", "image_url": "https://img.youtube.com/vi/DMyhUb1pZT0/hqdefault.jpg", "youtube_id": "DMyhUb1pZT0", "content_kind": "Video", "readable_id": "adding-and-subtracting-polynomials-3"}, {"translated_youtube_id": "5ZdxnFspyP8", "relative_url": "/video/subtracting-polynomials", "has_questions": false, "keywords": "u11_l2_t2_we3, Subtracting, Polynomials", "ka_url": "http://www.khanacademy.org/video/subtracting-polynomials", "duration": 127, "translated_title": "Subtracting polynomials", "translated_description_html": "Subtracting Polynomials", "id": "13179515", "description_html": "Subtracting Polynomials", "title": "Subtracting polynomials", "progress_key": "v13179515", "edit_slug": "edit/v/13179515", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Polynomials", "extra_properties": null, "node_slug": "v/subtracting-polynomials", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZdxnFspyP8.mp4/5ZdxnFspyP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZdxnFspyP8.mp4/5ZdxnFspyP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ZdxnFspyP8.m3u8/5ZdxnFspyP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ZdxnFspyP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179515", "sha": "1e169142c479598f9eed66c230d0903ffbe9d167", "translated_description": "Subtracting Polynomials", "image_url": "https://img.youtube.com/vi/5ZdxnFspyP8/hqdefault.jpg", "youtube_id": "5ZdxnFspyP8", "content_kind": "Video", "readable_id": "subtracting-polynomials"}, {"translated_youtube_id": "AqMT_zB9rP8", "relative_url": "/video/subtracting-polynomials-with-multiple-variables", "has_questions": false, "keywords": "u11_l3_t2_we2, Subtracting, polynomials, with, multiple, variables, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/subtracting-polynomials-with-multiple-variables", "duration": 130, "translated_title": "Subtracting polynomials with multiple variables", "translated_description_html": "Subtracting polynomials with multiple variables", "id": "13179529", "description_html": "Subtracting polynomials with multiple variables", "title": "Subtracting polynomials with multiple variables", "progress_key": "v13179529", "edit_slug": "edit/v/13179529", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting polynomials with multiple variables", "extra_properties": null, "node_slug": "v/subtracting-polynomials-with-multiple-variables", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AqMT_zB9rP8.mp4/AqMT_zB9rP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AqMT_zB9rP8.mp4/AqMT_zB9rP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AqMT_zB9rP8.m3u8/AqMT_zB9rP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AqMT_zB9rP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179529", "sha": "aff4ce890ea8448750a75d5c1af8a99f18e1404c", "translated_description": "Subtracting polynomials with multiple variables", "image_url": "https://img.youtube.com/vi/AqMT_zB9rP8/hqdefault.jpg", "youtube_id": "AqMT_zB9rP8", "content_kind": "Video", "readable_id": "subtracting-polynomials-with-multiple-variables"}], "twitter_url": "", "translated_description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", "x_pos": 0.0, "node_slug": "polynomial_basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1b6ed040", "topic_page_url": "/math/algebra/multiplying-factoring-expression/polynomial_basics", "extended_slug": "math/algebra/multiplying-factoring-expression/polynomial_basics", "slug": "polynomial_basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b9b916478ac69dc7c6993e6472865a316b269a0d", "standalone_title": "Polynomial basics", "y_pos": 0.0, "current_revision_key": "b9b916478ac69dc7c6993e6472865a316b269a0d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/multiplying_polynomials", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying_polynomials", "translated_standalone_title": "Multiplying monomials, binomials and polynomials in general", "translated_title": "Multiplying polynomials", "gplus_url": "", "id": "x576c5d63", "old_key_name": "v3ne_F_i-A2H5ex-Np9YmsgIpykZpJCarTK96GQu", "hide": false, "title": "Multiplying polynomials", "child_data": [{"kind": "Video", "id": 13179517}, {"kind": "Video", "id": 13179519}, {"kind": "Video", "id": 26975}, {"kind": "Video", "id": 13179530}, {"kind": "Exercise", "id": 357437094}], "children": [{"translated_youtube_id": "pD2-H15ucNE", "relative_url": "/video/multiplying-monomials-by-polynomials", "has_questions": false, "keywords": "u11_l2_t3_we2, Multiplying, Monomials, by, Polynomials, CC_7_EE_1, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-monomials-by-polynomials", "duration": 163, "translated_title": "Multiplying monomials by polynomials", "translated_description_html": "Multiplying Monomials by Polynomials", "id": "13179517", "description_html": "Multiplying Monomials by Polynomials", "title": "Multiplying monomials by polynomials", "progress_key": "v13179517", "edit_slug": "edit/v/13179517", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Monomials by Polynomials", "extra_properties": null, "node_slug": "v/multiplying-monomials-by-polynomials", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pD2-H15ucNE.mp4/pD2-H15ucNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pD2-H15ucNE.mp4/pD2-H15ucNE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pD2-H15ucNE.m3u8/pD2-H15ucNE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pD2-H15ucNE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179517", "sha": "5ddc822a87560f5a1a9a69f83bfef2a9119be6db", "translated_description": "Multiplying Monomials by Polynomials", "image_url": "https://img.youtube.com/vi/pD2-H15ucNE/hqdefault.jpg", "youtube_id": "pD2-H15ucNE", "content_kind": "Video", "readable_id": "multiplying-monomials-by-polynomials"}, {"translated_youtube_id": "yJzLYa-_Y1k", "relative_url": "/video/multiplying-polynomials", "has_questions": false, "keywords": "u11_l2_t3_we4, Multiplying, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials", "duration": 346, "translated_title": "Multiplying polynomials", "translated_description_html": "Multiplying Polynomials", "id": "13179519", "description_html": "Multiplying Polynomials", "title": "Multiplying polynomials", "progress_key": "v13179519", "edit_slug": "edit/v/13179519", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Polynomials", "extra_properties": null, "node_slug": "v/multiplying-polynomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.mp4/yJzLYa-_Y1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.mp4/yJzLYa-_Y1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.m3u8/yJzLYa-_Y1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yJzLYa-_Y1k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179519", "sha": "222d673a4e9485c29ac843a97d98349ff7a79ddc", "translated_description": "Multiplying Polynomials", "image_url": "https://img.youtube.com/vi/yJzLYa-_Y1k/hqdefault.jpg", "youtube_id": "yJzLYa-_Y1k", "content_kind": "Video", "readable_id": "multiplying-polynomials"}, {"translated_youtube_id": "bamcYQDzVTw", "relative_url": "/video/multiplying-polynomials-3", "has_questions": false, "keywords": "U08_L2_T3_we3, Multiplying, Polynomials, CC_7_EE_4_a, CC_8_G_9, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials-3", "duration": 259, "translated_title": "Multiplying polynomials 3", "translated_description_html": "Multiplying Polynomials 3", "id": "26975", "description_html": "Multiplying Polynomials 3", "title": "Multiplying polynomials 3", "progress_key": "v26975", "edit_slug": "edit/v/26975", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Polynomials 3", "extra_properties": null, "node_slug": "v/multiplying-polynomials-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.mp4/bamcYQDzVTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.mp4/bamcYQDzVTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.m3u8/bamcYQDzVTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bamcYQDzVTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26975", "sha": "71bde49b7d01fb6c11b1e40e038d7fd22c113edb", "translated_description": "Multiplying Polynomials 3", "image_url": "https://img.youtube.com/vi/bamcYQDzVTw/hqdefault.jpg", "youtube_id": "bamcYQDzVTw", "content_kind": "Video", "readable_id": "multiplying-polynomials-3"}, {"translated_youtube_id": "D6mivA_8L8U", "relative_url": "/video/more-multiplying-polynomials", "has_questions": false, "keywords": "u11_l3_t2_we3, More, multiplying, polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/more-multiplying-polynomials", "duration": 154, "translated_title": "More multiplying polynomials", "translated_description_html": "More multiplying polynomials", "id": "13179530", "description_html": "More multiplying polynomials", "title": "More multiplying polynomials", "progress_key": "v13179530", "edit_slug": "edit/v/13179530", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More multiplying polynomials", "extra_properties": null, "node_slug": "v/more-multiplying-polynomials", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D6mivA_8L8U.mp4/D6mivA_8L8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D6mivA_8L8U.mp4/D6mivA_8L8U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D6mivA_8L8U.m3u8/D6mivA_8L8U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D6mivA_8L8U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179530", "sha": "1301c059c2da1f172ddd85baea6e6314a8b04553", "translated_description": "More multiplying polynomials", "image_url": "https://img.youtube.com/vi/D6mivA_8L8U/hqdefault.jpg", "youtube_id": "D6mivA_8L8U", "content_kind": "Video", "readable_id": "more-multiplying-polynomials"}], "twitter_url": "", "translated_description": "You'll see in this tutorial that multiplying polynomials is just an extension of the same distributive property that you've already learned to multiply simpler expression (that's why we think FOIL is lame--it doesn't generalize and it is more memorization than real understanding).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You'll see in this tutorial that multiplying polynomials is just an extension of the same distributive property that you've already learned to multiply simpler expression (that's why we think FOIL is lame--it doesn't generalize and it is more memorization than real understanding).", "x_pos": 0.0, "node_slug": "multiplying_polynomials", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax576c5d63", "topic_page_url": "/math/algebra/multiplying-factoring-expression/multiplying_polynomials", "extended_slug": "math/algebra/multiplying-factoring-expression/multiplying_polynomials", "slug": "multiplying_polynomials", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4b2f238f3529753c12933bbb2ca5de7735b075f4", "standalone_title": "Multiplying monomials, binomials and polynomials in general", "y_pos": 0.0, "current_revision_key": "4b2f238f3529753c12933bbb2ca5de7735b075f4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/multiplying-factoring-expression/dividing_polynomials", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/dividing_polynomials", "translated_standalone_title": "Dividing polynomials", "translated_title": "Dividing polynomials", "gplus_url": "", "id": "x6981a693", "old_key_name": "rdHTPc2IyzTJybPFgv7KZNiGqSAPyiJ-EaiOL-SM", "hide": false, "title": "Dividing polynomials", "child_data": [{"kind": "Video", "id": 23780}, {"kind": "Video", "id": 13179523}, {"kind": "Video", "id": 13179531}, {"kind": "Video", "id": 13179524}, {"kind": "Video", "id": 13179525}, {"kind": "Video", "id": 948828848}, {"kind": "Video", "id": 948968139}, {"kind": "Video", "id": 948944478}, {"kind": "Video", "id": 13179584}, {"kind": "Video", "id": 466052139}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 23520}, {"kind": "Video", "id": 24404}], "children": [{"translated_youtube_id": "FXgV9ySNusc", "relative_url": "/video/polynomial-division", "has_questions": false, "keywords": "Polynomial, Division, CC_39336_A-APR_2", "ka_url": "http://www.khanacademy.org/video/polynomial-division", "duration": 729, "translated_title": "Polynomial division", "translated_description_html": "Polynomial Division", "id": "23780", "description_html": "Polynomial Division", "title": "Polynomial division", "progress_key": "v23780", "edit_slug": "edit/v/23780", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Polynomial Division", "extra_properties": null, "node_slug": "v/polynomial-division", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.mp4/FXgV9ySNusc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.mp4/FXgV9ySNusc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.m3u8/FXgV9ySNusc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FXgV9ySNusc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23780", "sha": "56c21cc93bf0013d49b388697112c64254936e8c", "translated_description": "Polynomial Division", "image_url": "https://img.youtube.com/vi/FXgV9ySNusc/hqdefault.jpg", "youtube_id": "FXgV9ySNusc", "content_kind": "Video", "readable_id": "polynomial-division"}, {"translated_youtube_id": "UquFdMg6Z_U", "relative_url": "/video/polynomial-divided-by-monomial", "has_questions": false, "keywords": "u11_l2_t5_we2, Polynomial, divided, by, monomial, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/polynomial-divided-by-monomial", "duration": 285, "translated_title": "Polynomial divided by monomial", "translated_description_html": "Polynomial divided by monomial", "id": "13179523", "description_html": "Polynomial divided by monomial", "title": "Polynomial divided by monomial", "progress_key": "v13179523", "edit_slug": "edit/v/13179523", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Polynomial divided by monomial", "extra_properties": null, "node_slug": "v/polynomial-divided-by-monomial", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UquFdMg6Z_U.mp4/UquFdMg6Z_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UquFdMg6Z_U.mp4/UquFdMg6Z_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UquFdMg6Z_U.m3u8/UquFdMg6Z_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UquFdMg6Z_U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179523", "sha": "5b2cbebf00be6b960ee7693e6a66cb3b1e0a7c9d", "translated_description": "Polynomial divided by monomial", "image_url": "https://img.youtube.com/vi/UquFdMg6Z_U/hqdefault.jpg", "youtube_id": "UquFdMg6Z_U", "content_kind": "Video", "readable_id": "polynomial-divided-by-monomial"}, {"translated_youtube_id": "Yu00YJ3tAlo", "relative_url": "/video/dividing-multivariable-polynomial-with-monomial", "has_questions": false, "keywords": "u11_l3_t2_we4, Dividing, multivariable, polynomial, with, monomial, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-multivariable-polynomial-with-monomial", "duration": 194, "translated_title": "Dividing multivariable polynomial with monomial", "translated_description_html": "Dividing multivariable polynomial with monomial", "id": "13179531", "description_html": "Dividing multivariable polynomial with monomial", "title": "Dividing multivariable polynomial with monomial", "progress_key": "v13179531", "edit_slug": "edit/v/13179531", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing multivariable polynomial with monomial", "extra_properties": null, "node_slug": "v/dividing-multivariable-polynomial-with-monomial", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:41:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yu00YJ3tAlo.mp4/Yu00YJ3tAlo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yu00YJ3tAlo.mp4/Yu00YJ3tAlo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yu00YJ3tAlo.m3u8/Yu00YJ3tAlo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yu00YJ3tAlo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179531", "sha": "5a30b2d12322a8489d2000841b5d19d807b6d78c", "translated_description": "Dividing multivariable polynomial with monomial", "image_url": "https://img.youtube.com/vi/Yu00YJ3tAlo/hqdefault.jpg", "youtube_id": "Yu00YJ3tAlo", "content_kind": "Video", "readable_id": "dividing-multivariable-polynomial-with-monomial"}, {"translated_youtube_id": "8Wxw9bpKEGQ", "relative_url": "/video/dividing-polynomials-1", "has_questions": false, "keywords": "u11_l2_t6_we1, Dividing, polynomials, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-polynomials-1", "duration": 200, "translated_title": "Dividing polynomials 1", "translated_description_html": "Dividing polynomials 1", "id": "13179524", "description_html": "Dividing polynomials 1", "title": "Dividing polynomials 1", "progress_key": "v13179524", "edit_slug": "edit/v/13179524", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing polynomials 1", "extra_properties": null, "node_slug": "v/dividing-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.m3u8/8Wxw9bpKEGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Wxw9bpKEGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179524", "sha": "f061afcba6682818dae25791e1525a21a56ee2df", "translated_description": "Dividing polynomials 1", "image_url": "https://img.youtube.com/vi/8Wxw9bpKEGQ/hqdefault.jpg", "youtube_id": "8Wxw9bpKEGQ", "content_kind": "Video", "readable_id": "dividing-polynomials-1"}, {"translated_youtube_id": "pLCmwHsDYqo", "relative_url": "/video/dividing-polynomials-with-remainders", "has_questions": false, "keywords": "u11_l2_t6_we2, Dividing, polynomials, with, remainders, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-polynomials-with-remainders", "duration": 383, "translated_title": "Dividing polynomials with remainders", "translated_description_html": "Dividing polynomials with remainders", "id": "13179525", "description_html": "Dividing polynomials with remainders", "title": "Dividing polynomials with remainders", "progress_key": "v13179525", "edit_slug": "edit/v/13179525", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing polynomials with remainders", "extra_properties": null, "node_slug": "v/dividing-polynomials-with-remainders", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.m3u8/pLCmwHsDYqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pLCmwHsDYqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179525", "sha": "559df93f84154e39bc082a89342085dff5195542", "translated_description": "Dividing polynomials with remainders", "image_url": "https://img.youtube.com/vi/pLCmwHsDYqo/hqdefault.jpg", "youtube_id": "pLCmwHsDYqo", "content_kind": "Video", "readable_id": "dividing-polynomials-with-remainders"}, {"translated_youtube_id": "1byR9UEQJN0", "relative_url": "/video/synthetic-division", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/synthetic-division", "duration": 321, "translated_title": "Synthetic division", "translated_description_html": "Basic algorithm for Synthetic Division", "id": "948828848", "description_html": "Basic algorithm for Synthetic Division", "title": "Synthetic division", "progress_key": "v948828848", "edit_slug": "edit/v/948828848", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic algorithm for Synthetic Division", "extra_properties": null, "node_slug": "v/synthetic-division", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-07T20:25:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.m3u8/1byR9UEQJN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1byR9UEQJN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948828848", "sha": "86de91aa51d2c45fa6666fd254f85ce11d65b1df", "translated_description": "Basic algorithm for Synthetic Division", "image_url": "https://img.youtube.com/vi/1byR9UEQJN0/hqdefault.jpg", "youtube_id": "1byR9UEQJN0", "content_kind": "Video", "readable_id": "synthetic-division"}, {"translated_youtube_id": "3Ee_huKclEQ", "relative_url": "/video/synthetic-division-example-2", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/synthetic-division-example-2", "duration": 300, "translated_title": "Synthetic division example 2", "translated_description_html": "Another example of applying the basic synthetic division algorithm", "id": "948968139", "description_html": "Another example of applying the basic synthetic division algorithm", "title": "Synthetic division example 2", "progress_key": "v948968139", "edit_slug": "edit/v/948968139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another example of applying the basic synthetic division algorithm", "extra_properties": null, "node_slug": "v/synthetic-division-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-08-07T20:25:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.mp4/3Ee_huKclEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.mp4/3Ee_huKclEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.m3u8/3Ee_huKclEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Ee_huKclEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948968139", "sha": "863e30e468e0312670117c2f42230a325b538249", "translated_description": "Another example of applying the basic synthetic division algorithm", "image_url": "https://img.youtube.com/vi/3Ee_huKclEQ/hqdefault.jpg", "youtube_id": "3Ee_huKclEQ", "content_kind": "Video", "readable_id": "synthetic-division-example-2"}, {"translated_youtube_id": "-nlMXVrgtjw", "relative_url": "/video/why-synthetic-division-works", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/why-synthetic-division-works", "duration": 420, "translated_title": "Why synthetic division works", "translated_description_html": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "id": "948944478", "description_html": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "title": "Why synthetic division works", "progress_key": "v948944478", "edit_slug": "edit/v/948944478", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "extra_properties": null, "node_slug": "v/why-synthetic-division-works", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-07T20:26:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.m3u8/-nlMXVrgtjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-nlMXVrgtjw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948944478", "sha": "e1bf5f56478c44a9cca079711ea7205dc62ea615", "translated_description": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "image_url": "https://img.youtube.com/vi/-nlMXVrgtjw/hqdefault.jpg", "youtube_id": "-nlMXVrgtjw", "content_kind": "Video", "readable_id": "why-synthetic-division-works"}, {"translated_youtube_id": "Touv2APcBRw", "relative_url": "/video/factoring-sum-of-cubes", "has_questions": false, "keywords": "u12_l2_t3_we1, Factoring, Sum, of, Cubes, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-sum-of-cubes", "duration": 286, "translated_title": "Factoring sum of cubes", "translated_description_html": "Factoring Sum of Cubes", "id": "13179584", "description_html": "Factoring Sum of Cubes", "title": "Factoring sum of cubes", "progress_key": "v13179584", "edit_slug": "edit/v/13179584", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Sum of Cubes", "extra_properties": null, "node_slug": "v/factoring-sum-of-cubes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.m3u8/Touv2APcBRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Touv2APcBRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179584", "sha": "a813f031489ae426177f6347d80e5556a912ed2b", "translated_description": "Factoring Sum of Cubes", "image_url": "https://img.youtube.com/vi/Touv2APcBRw/hqdefault.jpg", "youtube_id": "Touv2APcBRw", "content_kind": "Video", "readable_id": "factoring-sum-of-cubes"}, {"translated_youtube_id": "CxcP4ylUP5w", "relative_url": "/video/difference-of-cubes-factoring", "has_questions": false, "keywords": "u12, l2, t3, we2, Difference, of, Cubes, Factoring", "ka_url": "http://www.khanacademy.org/video/difference-of-cubes-factoring", "duration": 252, "translated_title": "Difference of cubes factoring", "translated_description_html": "u12 l2 t3 we2 Difference of Cubes Factoring", "id": "466052139", "description_html": "u12 l2 t3 we2 Difference of Cubes Factoring", "title": "Difference of cubes factoring", "progress_key": "v466052139", "edit_slug": "edit/v/466052139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "u12 l2 t3 we2 Difference of Cubes Factoring", "extra_properties": null, "node_slug": "v/difference-of-cubes-factoring", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.mp4/CxcP4ylUP5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.mp4/CxcP4ylUP5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.m3u8/CxcP4ylUP5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CxcP4ylUP5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466052139", "sha": "77de5b57d252986649a962ee1d5aebf2da7bedd3", "translated_description": "u12 l2 t3 we2 Difference of Cubes Factoring", "image_url": "https://img.youtube.com/vi/CxcP4ylUP5w/hqdefault.jpg", "youtube_id": "CxcP4ylUP5w", "content_kind": "Video", "readable_id": "difference-of-cubes-factoring"}, {"translated_youtube_id": "4u8_AMacu-Y", "relative_url": "/video/algebraic-long-division", "has_questions": false, "keywords": "Algebraic, Long, Division, CC_39336_A-APR_2", "ka_url": "http://www.khanacademy.org/video/algebraic-long-division", "duration": 621, "translated_title": "Algebraic long division", "translated_description_html": "Dividing one polynomial into another", "id": "23520", "description_html": "Dividing one polynomial into another", "title": "Algebraic long division", "progress_key": "v23520", "edit_slug": "edit/v/23520", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing one polynomial into another", "extra_properties": null, "node_slug": "v/algebraic-long-division", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4u8_AMacu-Y.mp4/4u8_AMacu-Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4u8_AMacu-Y.mp4/4u8_AMacu-Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4u8_AMacu-Y.m3u8/4u8_AMacu-Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4u8_AMacu-Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23520", "sha": "55d094eedfb227e7c72aa9387f8f3a3d1b793781", "translated_description": "Dividing one polynomial into another", "image_url": "https://img.youtube.com/vi/4u8_AMacu-Y/hqdefault.jpg", "youtube_id": "4u8_AMacu-Y", "content_kind": "Video", "readable_id": "algebraic-long-division"}, {"translated_youtube_id": "WB7gPfsv6rQ", "relative_url": "/video/algebra-ii--simplifying-polynomials", "has_questions": false, "keywords": "california, standards, algebra, polynomial", "ka_url": "http://www.khanacademy.org/video/algebra-ii--simplifying-polynomials", "duration": 619, "translated_title": "Algebra II: Simplifying polynomials", "translated_description_html": "17-22, simplifying polynomials and algebraic expressions", "id": "24404", "description_html": "17-22, simplifying polynomials and algebraic expressions", "title": "Algebra II: Simplifying polynomials", "progress_key": "v24404", "edit_slug": "edit/v/24404", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "17-22, simplifying polynomials and algebraic expressions", "extra_properties": null, "node_slug": "v/algebra-ii--simplifying-polynomials", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.mp4/WB7gPfsv6rQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.mp4/WB7gPfsv6rQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.m3u8/WB7gPfsv6rQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WB7gPfsv6rQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24404", "sha": "a20811b0be666e39aa25092546f2738241a535f3", "translated_description": "17-22, simplifying polynomials and algebraic expressions", "image_url": "https://img.youtube.com/vi/WB7gPfsv6rQ/hqdefault.jpg", "youtube_id": "WB7gPfsv6rQ", "content_kind": "Video", "readable_id": "algebra-ii--simplifying-polynomials"}], "twitter_url": "", "translated_description": "You know what polynomials are. You know how to add, subtract, and multiply them. Unless you are completely incurious, you must be wondering how to divide them!\n\nIn this tutorial we'll explore how we divide polynomials--both through algebraic long division and synthetic division. (We like classic algebraic long division more since you can actually understand what you're doing.)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what polynomials are. You know how to add, subtract, and multiply them. Unless you are completely incurious, you must be wondering how to divide them!\n\nIn this tutorial we'll explore how we divide polynomials--both through algebraic long division and synthetic division. (We like classic algebraic long division more since you can actually understand what you're doing.)", "x_pos": 0.0, "node_slug": "dividing_polynomials", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6981a693", "topic_page_url": "/math/algebra/multiplying-factoring-expression/dividing_polynomials", "extended_slug": "math/algebra/multiplying-factoring-expression/dividing_polynomials", "slug": "dividing_polynomials", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aae0cba9595222b785c70b499156e9f86614c4e5", "standalone_title": "Dividing polynomials", "y_pos": 0.0, "current_revision_key": "aae0cba9595222b785c70b499156e9f86614c4e5", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This topic will add a ton of tools to your algebraic toolbox. You'll be able to multiply any expression and learn to factor a bunch a well. This will allow you to solve a broad array of problems in algebra.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This topic will add a ton of tools to your algebraic toolbox. You'll be able to multiply any expression and learn to factor a bunch a well. This will allow you to solve a broad array of problems in algebra.", "x_pos": 0.0, "node_slug": "multiplying-factoring-expression", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3686c281", "topic_page_url": "/math/algebra/multiplying-factoring-expression", "extended_slug": "math/algebra/multiplying-factoring-expression", "slug": "multiplying-factoring-expression", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "53931a6d884f54e4eaf3e11312b4ceb06dbe914c", "standalone_title": "Multiplying and factoring expressions", "y_pos": 0.0, "current_revision_key": "53931a6d884f54e4eaf3e11312b4ceb06dbe914c", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/quadratics-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/quadratics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics", "translated_standalone_title": "Quadratic equations", "translated_title": "Quadratic equations", "gplus_url": "", "id": "x46068850", "old_key_name": "y5BHNHK0E9Xa6CyfEhZaIfDRkevXobYlkPt0Pk_G", "hide": false, "title": "Quadratic equations", "child_data": [{"kind": "Topic", "id": "xaff92c6c"}, {"kind": "Topic", "id": "x8257058f"}, {"kind": "Topic", "id": "x40bf111d"}, {"kind": "Topic", "id": "xf44db6ed"}, {"kind": "Topic", "id": "xf00f5342"}, {"kind": "Topic", "id": "x1dff035b"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/factoring_quadratics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/factoring_quadratics", "translated_standalone_title": "Solving quadratics by factoring", "translated_title": "Solving quadratics by factoring", "gplus_url": "", "id": "xaff92c6c", "old_key_name": "SvUtVjvGq9LboorL-gJsYIIsSSh-3ifWEplOv7ou", "hide": false, "title": "Solving quadratics by factoring", "child_data": [{"kind": "Video", "id": 26992}, {"kind": "Video", "id": 26993}, {"kind": "Video", "id": 26994}, {"kind": "Video", "id": 13179588}, {"kind": "Exercise", "id": 3024}, {"kind": "Exercise", "id": 541520116}], "children": [{"translated_youtube_id": "2ZzuZvz33X0", "relative_url": "/video/Example 1: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "U09_L2_T2_we1, Solving, Quadratic, Equations, by, Factoring.avi, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/Example 1: Solving a quadratic equation by factoring", "duration": 382, "translated_title": "Example 1: Solving a quadratic equation by factoring", "translated_description_html": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "id": "26992", "description_html": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "title": "Example 1: Solving a quadratic equation by factoring", "progress_key": "v26992", "edit_slug": "edit/v/26992", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "extra_properties": null, "node_slug": "v/Example 1: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.mp4/2ZzuZvz33X0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.mp4/2ZzuZvz33X0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.m3u8/2ZzuZvz33X0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2ZzuZvz33X0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26992", "sha": "b27227a7aa17128de089d5513b472f0cbdc6512b", "translated_description": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "image_url": "https://img.youtube.com/vi/2ZzuZvz33X0/hqdefault.jpg", "youtube_id": "2ZzuZvz33X0", "content_kind": "Video", "readable_id": "Example 1: Solving a quadratic equation by factoring"}, {"translated_youtube_id": "04RpkdaNzr8", "relative_url": "/video/Example 2: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "U09_L2_T2_we2, Solving, Quadratic, Equations, by, Factoring, 2.avi, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/Example 2: Solving a quadratic equation by factoring", "duration": 199, "translated_title": "Example 2: Solving a quadratic equation by factoring", "translated_description_html": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "id": "26993", "description_html": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "title": "Example 2: Solving a quadratic equation by factoring", "progress_key": "v26993", "edit_slug": "edit/v/26993", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "extra_properties": null, "node_slug": "v/Example 2: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.m3u8/04RpkdaNzr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=04RpkdaNzr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26993", "sha": "d43b374d7e24eefca9ea1793bf47ce81e3445c19", "translated_description": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "image_url": "https://img.youtube.com/vi/04RpkdaNzr8/hqdefault.jpg", "youtube_id": "04RpkdaNzr8", "content_kind": "Video", "readable_id": "Example 2: Solving a quadratic equation by factoring"}, {"translated_youtube_id": "vl9o9XEfXtw", "relative_url": "/video/Example 3: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "U09_L2_T2_we3, Solving, Quadratic, Equations, by, Factoring, 3.avi, CC_6_EE_2_c, CC_7_G_6, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/Example 3: Solving a quadratic equation by factoring", "duration": 354, "translated_title": "Example 3: Solving a quadratic equation by factoring", "translated_description_html": "U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi", "id": "26994", "description_html": "U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi", "title": "Example 3: Solving a quadratic equation by factoring", "progress_key": "v26994", "edit_slug": "edit/v/26994", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi", "extra_properties": null, "node_slug": "v/Example 3: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vl9o9XEfXtw.mp4/vl9o9XEfXtw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vl9o9XEfXtw.mp4/vl9o9XEfXtw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vl9o9XEfXtw.m3u8/vl9o9XEfXtw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vl9o9XEfXtw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26994", "sha": "ffc5410a2768519ac15df8dda30fda34d287da0e", "translated_description": "U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi", "image_url": "https://img.youtube.com/vi/vl9o9XEfXtw/hqdefault.jpg", "youtube_id": "vl9o9XEfXtw", "content_kind": "Video", "readable_id": "Example 3: Solving a quadratic equation by factoring"}, {"translated_youtube_id": "STcsaKuW-24", "relative_url": "/video/Example 4: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "u12_l3_t1_we3, Applications, Problem, Factoring, Quadratics, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/Example 4: Solving a quadratic equation by factoring", "duration": 501, "translated_title": "Example 4: Solving a quadratic equation by factoring", "translated_description_html": " Applications Problem Factoring Quadratics", "id": "13179588", "description_html": " Applications Problem Factoring Quadratics", "title": "Example 4: Solving a quadratic equation by factoring", "progress_key": "v13179588", "edit_slug": "edit/v/13179588", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": " Applications Problem Factoring Quadratics", "extra_properties": null, "node_slug": "v/Example 4: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.mp4/STcsaKuW-24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.mp4/STcsaKuW-24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.m3u8/STcsaKuW-24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=STcsaKuW-24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179588", "sha": "b0c7feb2e8aa0465f0fe00e02cce7587f01aed5f", "translated_description": " Applications Problem Factoring Quadratics", "image_url": "https://img.youtube.com/vi/STcsaKuW-24/hqdefault.jpg", "youtube_id": "STcsaKuW-24", "content_kind": "Video", "readable_id": "Example 4: Solving a quadratic equation by factoring"}], "twitter_url": "", "translated_description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", "x_pos": 0.0, "node_slug": "factoring_quadratics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T17:07:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaff92c6c", "topic_page_url": "/math/algebra/quadratics/factoring_quadratics", "extended_slug": "math/algebra/quadratics/factoring_quadratics", "slug": "factoring_quadratics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "cad1b3e2c4b20cabab7d8083678e1099c453dfe8", "standalone_title": "Solving quadratics by factoring", "y_pos": 0.0, "current_revision_key": "cad1b3e2c4b20cabab7d8083678e1099c453dfe8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/completing_the_square", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/completing_the_square", "translated_standalone_title": "Completing the square", "translated_title": "Completing the square", "gplus_url": "", "id": "x8257058f", "old_key_name": "8i7tfZVPFw-VuA42YjMZbDIdl6RF5c6RZrDbiqZm", "hide": false, "title": "Completing the square", "child_data": [{"kind": "Video", "id": 23720}, {"kind": "Video", "id": 150088074}, {"kind": "Exercise", "id": 617819647}, {"kind": "Video", "id": 23722}, {"kind": "Video", "id": 23496}, {"kind": "Video", "id": 150088072}, {"kind": "Video", "id": 26998}, {"kind": "Video", "id": 26999}, {"kind": "Video", "id": 27000}, {"kind": "Video", "id": 27001}, {"kind": "Video", "id": 150088071}, {"kind": "Exercise", "id": 369016246}, {"kind": "Exercise", "id": 369017708}], "children": [{"translated_youtube_id": "55G8037gsKY", "relative_url": "/video/solving-quadratic-equations-by-square-roots", "has_questions": false, "keywords": "Solving, Quadratic, Equations, by, Square, Roots, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/solving-quadratic-equations-by-square-roots", "duration": 663, "translated_title": "Solving quadratic equations by square roots", "translated_description_html": "Solving Quadratic Equations by Square Roots", "id": "23720", "description_html": "Solving Quadratic Equations by Square Roots", "title": "Solving quadratic equations by square roots", "progress_key": "v23720", "edit_slug": "edit/v/23720", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Quadratic Equations by Square Roots", "extra_properties": null, "node_slug": "v/solving-quadratic-equations-by-square-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.mp4/55G8037gsKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.mp4/55G8037gsKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.m3u8/55G8037gsKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=55G8037gsKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23720", "sha": "413ffc20c6df219e040b91784cb9bc8dfcc38f17", "translated_description": "Solving Quadratic Equations by Square Roots", "image_url": "https://img.youtube.com/vi/55G8037gsKY/hqdefault.jpg", "youtube_id": "55G8037gsKY", "content_kind": "Video", "readable_id": "solving-quadratic-equations-by-square-roots"}, {"translated_youtube_id": "RweAgQwLdMs", "relative_url": "/video/simple-quadratic-equation", "has_questions": false, "keywords": "u16_l5_t1_we1, Simple, Quadratic, Equation", "ka_url": "http://www.khanacademy.org/video/simple-quadratic-equation", "duration": 138, "translated_title": "Example: Solving simple quadratic", "translated_description_html": "Simple Quadratic Equation", "id": "150088074", "description_html": "Simple Quadratic Equation", "title": "Example: Solving simple quadratic", "progress_key": "v150088074", "edit_slug": "edit/v/150088074", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple Quadratic Equation", "extra_properties": null, "node_slug": "v/simple-quadratic-equation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RweAgQwLdMs.mp4/RweAgQwLdMs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RweAgQwLdMs.mp4/RweAgQwLdMs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RweAgQwLdMs.m3u8/RweAgQwLdMs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RweAgQwLdMs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088074", "sha": "35207bfe1a6e992c7354791f86fe14e31fc5faad", "translated_description": "Simple Quadratic Equation", "image_url": "https://img.youtube.com/vi/RweAgQwLdMs/hqdefault.jpg", "youtube_id": "RweAgQwLdMs", "content_kind": "Video", "readable_id": "simple-quadratic-equation"}, {"translated_youtube_id": "bNQY0z76M5A", "relative_url": "/video/solving-quadratic-equations-by-completing-the-square", "has_questions": false, "keywords": "Solving, Quadratic, Equations, by, Completing, the, Square, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/solving-quadratic-equations-by-completing-the-square", "duration": 846, "translated_title": "Solving quadratic equations by completing the square", "translated_description_html": "Solving Quadratic Equations by Completing the Square", "id": "23722", "description_html": "Solving Quadratic Equations by Completing the Square", "title": "Solving quadratic equations by completing the square", "progress_key": "v23722", "edit_slug": "edit/v/23722", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Quadratic Equations by Completing the Square", "extra_properties": null, "node_slug": "v/solving-quadratic-equations-by-completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.mp4/bNQY0z76M5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.mp4/bNQY0z76M5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.m3u8/bNQY0z76M5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bNQY0z76M5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23722", "sha": "b495666bb515245922efe03c6f51906d125517fe", "translated_description": "Solving Quadratic Equations by Completing the Square", "image_url": "https://img.youtube.com/vi/bNQY0z76M5A/hqdefault.jpg", "youtube_id": "bNQY0z76M5A", "content_kind": "Video", "readable_id": "solving-quadratic-equations-by-completing-the-square"}, {"translated_youtube_id": "gzm-uhj06q8", "relative_url": "/video/completing-the-square", "has_questions": false, "keywords": "algebra, completing, the, square, quadratic, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/completing-the-square", "duration": 825, "translated_title": "Completing the square (old school)", "translated_description_html": "Solving a quadratic by completing the square.", "id": "23496", "description_html": "Solving a quadratic by completing the square.", "title": "Completing the square (old school)", "progress_key": "v23496", "edit_slug": "edit/v/23496", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving a quadratic by completing the square.", "extra_properties": null, "node_slug": "v/completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gzm-uhj06q8.mp4/gzm-uhj06q8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gzm-uhj06q8.mp4/gzm-uhj06q8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gzm-uhj06q8.m3u8/gzm-uhj06q8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gzm-uhj06q8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23496", "sha": "ea554a3c05ebdb691b55d78e7b6fb3bced528f4c", "translated_description": "Solving a quadratic by completing the square.", "image_url": "https://img.youtube.com/vi/gzm-uhj06q8/hqdefault.jpg", "youtube_id": "gzm-uhj06q8", "content_kind": "Video", "readable_id": "completing-the-square"}, {"translated_youtube_id": "tYv-Pchyu0Y", "relative_url": "/video/completing-perfect-square-trinomials", "has_questions": false, "keywords": "u16_l5_t1_we2, Completing, Perfect, Square, Trinomials", "ka_url": "http://www.khanacademy.org/video/completing-perfect-square-trinomials", "duration": 208, "translated_title": "Example: Completing perfect square trinomials", "translated_description_html": "Completing Perfect Square Trinomials", "id": "150088072", "description_html": "Completing Perfect Square Trinomials", "title": "Example: Completing perfect square trinomials", "progress_key": "v150088072", "edit_slug": "edit/v/150088072", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Completing Perfect Square Trinomials", "extra_properties": null, "node_slug": "v/completing-perfect-square-trinomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tYv-Pchyu0Y.mp4/tYv-Pchyu0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tYv-Pchyu0Y.mp4/tYv-Pchyu0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tYv-Pchyu0Y.m3u8/tYv-Pchyu0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tYv-Pchyu0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088072", "sha": "e914d80725fb6010dbd307b5024185021e965835", "translated_description": "Completing Perfect Square Trinomials", "image_url": "https://img.youtube.com/vi/tYv-Pchyu0Y/hqdefault.jpg", "youtube_id": "tYv-Pchyu0Y", "content_kind": "Video", "readable_id": "completing-perfect-square-trinomials"}, {"translated_youtube_id": "VvuuRpJbbHE", "relative_url": "/video/ex1-completing-the-square", "has_questions": false, "keywords": "U10_L1_T2_we1, Completing, the, Square, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/ex1-completing-the-square", "duration": 202, "translated_title": "Example 1: Completing the square", "translated_description_html": "U10_L1_T2_we1 Completing the Square 1", "id": "26998", "description_html": "U10_L1_T2_we1 Completing the Square 1", "title": "Example 1: Completing the square", "progress_key": "v26998", "edit_slug": "edit/v/26998", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U10_L1_T2_we1 Completing the Square 1", "extra_properties": null, "node_slug": "v/ex1-completing-the-square", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.mp4/VvuuRpJbbHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.mp4/VvuuRpJbbHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.m3u8/VvuuRpJbbHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VvuuRpJbbHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26998", "sha": "0441ddae01fb6e1219d02fe9552b76e2899d33bf", "translated_description": "U10_L1_T2_we1 Completing the Square 1", "image_url": "https://img.youtube.com/vi/VvuuRpJbbHE/hqdefault.jpg", "youtube_id": "VvuuRpJbbHE", "content_kind": "Video", "readable_id": "ex1-completing-the-square"}, {"translated_youtube_id": "6agzj3A9IgA", "relative_url": "/video/ex2-completing-the-square", "has_questions": false, "keywords": "U10_L1_T2_we2, Completing, the, Square, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/ex2-completing-the-square", "duration": 324, "translated_title": "Example 2: Completing the square", "translated_description_html": "U10_L1_T2_we2 Completing the Square 2", "id": "26999", "description_html": "U10_L1_T2_we2 Completing the Square 2", "title": "Example 2: Completing the square", "progress_key": "v26999", "edit_slug": "edit/v/26999", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U10_L1_T2_we2 Completing the Square 2", "extra_properties": null, "node_slug": "v/ex2-completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6agzj3A9IgA.mp4/6agzj3A9IgA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6agzj3A9IgA.mp4/6agzj3A9IgA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6agzj3A9IgA.m3u8/6agzj3A9IgA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6agzj3A9IgA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26999", "sha": "da47cb40a49f6a828e8579a585eda803c7c33260", "translated_description": "U10_L1_T2_we2 Completing the Square 2", "image_url": "https://img.youtube.com/vi/6agzj3A9IgA/hqdefault.jpg", "youtube_id": "6agzj3A9IgA", "content_kind": "Video", "readable_id": "ex2-completing-the-square"}, {"translated_youtube_id": "02h9yhc7ruc", "relative_url": "/video/ex3-completing-the-square", "has_questions": false, "keywords": "U10_L1_T2_we3, Completing, the, Square, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/ex3-completing-the-square", "duration": 374, "translated_title": "Example 3: Completing the square", "translated_description_html": "U10_L1_T2_we3 Completing the Square 3", "id": "27000", "description_html": "U10_L1_T2_we3 Completing the Square 3", "title": "Example 3: Completing the square", "progress_key": "v27000", "edit_slug": "edit/v/27000", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U10_L1_T2_we3 Completing the Square 3", "extra_properties": null, "node_slug": "v/ex3-completing-the-square", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/02h9yhc7ruc.mp4/02h9yhc7ruc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/02h9yhc7ruc.mp4/02h9yhc7ruc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/02h9yhc7ruc.m3u8/02h9yhc7ruc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=02h9yhc7ruc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27000", "sha": "a0449814e837e8c60811cca3cf91a4ef2a64abd3", "translated_description": "U10_L1_T2_we3 Completing the Square 3", "image_url": "https://img.youtube.com/vi/02h9yhc7ruc/hqdefault.jpg", "youtube_id": "02h9yhc7ruc", "content_kind": "Video", "readable_id": "ex3-completing-the-square"}, {"translated_youtube_id": "95tChNVzodY", "relative_url": "/video/completing-the-square-4", "has_questions": false, "keywords": "U10_L1_T2_we4, Completing, the, Square, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/completing-the-square-4", "duration": 571, "translated_title": "Example 4: Completing the square", "translated_description_html": "Completing the Square 4", "id": "27001", "description_html": "Completing the Square 4", "title": "Example 4: Completing the square", "progress_key": "v27001", "edit_slug": "edit/v/27001", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Completing the Square 4", "extra_properties": null, "node_slug": "v/completing-the-square-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/95tChNVzodY.mp4/95tChNVzodY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/95tChNVzodY.mp4/95tChNVzodY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/95tChNVzodY.m3u8/95tChNVzodY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=95tChNVzodY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27001", "sha": "0e65cdb8975a29717d9b539b0dc7bd572ce63453", "translated_description": "Completing the Square 4", "image_url": "https://img.youtube.com/vi/95tChNVzodY/hqdefault.jpg", "youtube_id": "95tChNVzodY", "content_kind": "Video", "readable_id": "completing-the-square-4"}, {"translated_youtube_id": "TV5kDqiJ1Os", "relative_url": "/video/completing-the-square-to-solve-quadratic-equations", "has_questions": false, "keywords": "u16_l5_t1_we3, Completing, the, Square, to, Solve, Quadratic, Equations", "ka_url": "http://www.khanacademy.org/video/completing-the-square-to-solve-quadratic-equations", "duration": 344, "translated_title": "Example 5: Completing the square", "translated_description_html": "Completing the Square to Solve Quadratic Equations", "id": "150088071", "description_html": "Completing the Square to Solve Quadratic Equations", "title": "Example 5: Completing the square", "progress_key": "v150088071", "edit_slug": "edit/v/150088071", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Completing the Square to Solve Quadratic Equations", "extra_properties": null, "node_slug": "v/completing-the-square-to-solve-quadratic-equations", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TV5kDqiJ1Os.mp4/TV5kDqiJ1Os.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TV5kDqiJ1Os.mp4/TV5kDqiJ1Os.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TV5kDqiJ1Os.m3u8/TV5kDqiJ1Os.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TV5kDqiJ1Os&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088071", "sha": "4e948cbfeb74abec0c969464d20142554c0a2b70", "translated_description": "Completing the Square to Solve Quadratic Equations", "image_url": "https://img.youtube.com/vi/TV5kDqiJ1Os/hqdefault.jpg", "youtube_id": "TV5kDqiJ1Os", "content_kind": "Video", "readable_id": "completing-the-square-to-solve-quadratic-equations"}], "twitter_url": "", "translated_description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", "x_pos": 0.0, "node_slug": "completing_the_square", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8257058f", "topic_page_url": "/math/algebra/quadratics/completing_the_square", "extended_slug": "math/algebra/quadratics/completing_the_square", "slug": "completing_the_square", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "cef9dd095eeb9e8ab114773df46defa76b0693e2", "standalone_title": "Completing the square", "y_pos": 0.0, "current_revision_key": "cef9dd095eeb9e8ab114773df46defa76b0693e2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/quadratic_formula", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/quadratic_formula", "translated_standalone_title": "The quadratic formula (quadratic equation)", "translated_title": "The quadratic formula (quadratic equation)", "gplus_url": "", "id": "x40bf111d", "old_key_name": "ZCqAZPP7GTyGtFKKjG8gzQkEfUXoSJbq87VLeEiA", "hide": false, "title": "The quadratic formula (quadratic equation)", "child_data": [{"kind": "Video", "id": 23724}, {"kind": "Video", "id": 150088075}, {"kind": "Video", "id": 23726}, {"kind": "Video", "id": 27002}, {"kind": "Video", "id": 27003}, {"kind": "Video", "id": 27004}, {"kind": "Video", "id": 150009952}, {"kind": "Video", "id": 150088073}, {"kind": "Exercise", "id": 2020}, {"kind": "Video", "id": 150088081}, {"kind": "Exercise", "id": "xb0219e75"}, {"kind": "Video", "id": 23728}, {"kind": "Video", "id": 150009951}, {"kind": "Exercise", "id": 957206558}], "children": [{"translated_youtube_id": "i7idZfS8t8w", "relative_url": "/video/using-the-quadratic-formula", "has_questions": false, "keywords": "Using, the, Quadratic, Formula, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/using-the-quadratic-formula", "duration": 992, "translated_title": "How to use the quadratic formula", "translated_description_html": "

Introduction to using the quadratic formula.<\/p>\n", "id": "23724", "description_html": "

Introduction to using the quadratic formula.<\/p>\n", "title": "How to use the quadratic formula", "progress_key": "v23724", "edit_slug": "edit/v/23724", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to using the quadratic formula.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/using-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.m3u8/i7idZfS8t8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i7idZfS8t8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23724", "sha": "ac5fb49ac8dda0cd02900b1e1850a16f2c3839d6", "translated_description": "Introduction to using the quadratic formula.\n", "image_url": "https://img.youtube.com/vi/i7idZfS8t8w/hqdefault.jpg", "youtube_id": "i7idZfS8t8w", "content_kind": "Video", "readable_id": "using-the-quadratic-formula"}, {"translated_youtube_id": "ty4Ohya4hdE", "relative_url": "/video/quadratic-equations-in-standard-form", "has_questions": false, "keywords": "u16_l5_t2_we1, Quadratic, Equations, in, Standard, Form", "ka_url": "http://www.khanacademy.org/video/quadratic-equations-in-standard-form", "duration": 141, "translated_title": "Example: Quadratics in standard form", "translated_description_html": "Quadratic Equations in Standard Form", "id": "150088075", "description_html": "Quadratic Equations in Standard Form", "title": "Example: Quadratics in standard form", "progress_key": "v150088075", "edit_slug": "edit/v/150088075", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Quadratic Equations in Standard Form", "extra_properties": null, "node_slug": "v/quadratic-equations-in-standard-form", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ty4Ohya4hdE.mp4/ty4Ohya4hdE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ty4Ohya4hdE.mp4/ty4Ohya4hdE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ty4Ohya4hdE.m3u8/ty4Ohya4hdE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ty4Ohya4hdE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088075", "sha": "43b1568cea12a880d7cedb51eb63dc37d8aa6e6d", "translated_description": "Quadratic Equations in Standard Form", "image_url": "https://img.youtube.com/vi/ty4Ohya4hdE/hqdefault.jpg", "youtube_id": "ty4Ohya4hdE", "content_kind": "Video", "readable_id": "quadratic-equations-in-standard-form"}, {"translated_youtube_id": "r3SEkdtpobo", "relative_url": "/video/proof-of-quadratic-formula", "has_questions": false, "keywords": "Proof, of, Quadratic, Formula, CC_39336_A-REI_4_a", "ka_url": "http://www.khanacademy.org/video/proof-of-quadratic-formula", "duration": 464, "translated_title": "Proof of quadratic formula", "translated_description_html": "Proof of Quadratic Formula", "id": "23726", "description_html": "Proof of Quadratic Formula", "title": "Proof of quadratic formula", "progress_key": "v23726", "edit_slug": "edit/v/23726", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of Quadratic Formula", "extra_properties": null, "node_slug": "v/proof-of-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.mp4/r3SEkdtpobo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.mp4/r3SEkdtpobo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.m3u8/r3SEkdtpobo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r3SEkdtpobo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23726", "sha": "52a4b689300f87355e3ad26a89b366965acd1b13", "translated_description": "Proof of Quadratic Formula", "image_url": "https://img.youtube.com/vi/r3SEkdtpobo/hqdefault.jpg", "youtube_id": "r3SEkdtpobo", "content_kind": "Video", "readable_id": "proof-of-quadratic-formula"}, {"translated_youtube_id": "iulx0z1lz8M", "relative_url": "/video/quadratic-formula-1", "has_questions": false, "keywords": "U10_L1_T3_we1, Quadratic, Formula, CC_39336_A-REI_4", "ka_url": "http://www.khanacademy.org/video/quadratic-formula-1", "duration": 334, "translated_title": "Example 1: Using the quadratic formula", "translated_description_html": "Quadratic Formula 1", "id": "27002", "description_html": "Quadratic Formula 1", "title": "Example 1: Using the quadratic formula", "progress_key": "v27002", "edit_slug": "edit/v/27002", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadratic Formula 1", "extra_properties": null, "node_slug": "v/quadratic-formula-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iulx0z1lz8M.mp4/iulx0z1lz8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iulx0z1lz8M.mp4/iulx0z1lz8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iulx0z1lz8M.m3u8/iulx0z1lz8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iulx0z1lz8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27002", "sha": "3d64e15d108127fe898a6cc9ecc50e1577baf3b5", "translated_description": "Quadratic Formula 1", "image_url": "https://img.youtube.com/vi/iulx0z1lz8M/hqdefault.jpg", "youtube_id": "iulx0z1lz8M", "content_kind": "Video", "readable_id": "quadratic-formula-1"}, {"translated_youtube_id": "CLrImGKeuEI", "relative_url": "/video/quadratic-formula-2", "has_questions": false, "keywords": "U10_L1_T3_we2, Quadratic, Formula, CC_39336_A-REI_4", "ka_url": "http://www.khanacademy.org/video/quadratic-formula-2", "duration": 400, "translated_title": "Example 2: Using the quadratic formula", "translated_description_html": "Quadratic Formula 2", "id": "27003", "description_html": "Quadratic Formula 2", "title": "Example 2: Using the quadratic formula", "progress_key": "v27003", "edit_slug": "edit/v/27003", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadratic Formula 2", "extra_properties": null, "node_slug": "v/quadratic-formula-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLrImGKeuEI.mp4/CLrImGKeuEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLrImGKeuEI.mp4/CLrImGKeuEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLrImGKeuEI.m3u8/CLrImGKeuEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLrImGKeuEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27003", "sha": "583831aeea72c0a9db18bb08f100054bf5588f8c", "translated_description": "Quadratic Formula 2", "image_url": "https://img.youtube.com/vi/CLrImGKeuEI/hqdefault.jpg", "youtube_id": "CLrImGKeuEI", "content_kind": "Video", "readable_id": "quadratic-formula-2"}, {"translated_youtube_id": "XUvKjC21fYU", "relative_url": "/video/quadratic-formula-3", "has_questions": false, "keywords": "U10_L1_T3_we3, Quadratic, Formula, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/quadratic-formula-3", "duration": 299, "translated_title": "Example 3: Using the quadratic formula", "translated_description_html": "Quadratic Formula 3", "id": "27004", "description_html": "Quadratic Formula 3", "title": "Example 3: Using the quadratic formula", "progress_key": "v27004", "edit_slug": "edit/v/27004", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadratic Formula 3", "extra_properties": null, "node_slug": "v/quadratic-formula-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XUvKjC21fYU.mp4/XUvKjC21fYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XUvKjC21fYU.mp4/XUvKjC21fYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XUvKjC21fYU.m3u8/XUvKjC21fYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XUvKjC21fYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27004", "sha": "91bbcd9a2dd3323551e5093eb31bc0cd8dc52bd7", "translated_description": "Quadratic Formula 3", "image_url": "https://img.youtube.com/vi/XUvKjC21fYU/hqdefault.jpg", "youtube_id": "XUvKjC21fYU", "content_kind": "Video", "readable_id": "quadratic-formula-3"}, {"translated_youtube_id": "OZtqz_xw0SQ", "relative_url": "/video/application-problem-with-quadratic-formula", "has_questions": false, "keywords": "u16_l5_t2_we5, Application, Problem, with, Quadratic, Formula", "ka_url": "http://www.khanacademy.org/video/application-problem-with-quadratic-formula", "duration": 353, "translated_title": "Example 4: Applying the quadratic formula", "translated_description_html": "Application Problem with Quadratic Formula", "id": "150009952", "description_html": "Application Problem with Quadratic Formula", "title": "Example 4: Applying the quadratic formula", "progress_key": "v150009952", "edit_slug": "edit/v/150009952", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Application Problem with Quadratic Formula", "extra_properties": null, "node_slug": "v/application-problem-with-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-13T23:27:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OZtqz_xw0SQ.mp4/OZtqz_xw0SQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OZtqz_xw0SQ.mp4/OZtqz_xw0SQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OZtqz_xw0SQ.m3u8/OZtqz_xw0SQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OZtqz_xw0SQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150009952", "sha": "6cf3e45335083ee1d28ab33798bea0372bde2a9d", "translated_description": "Application Problem with Quadratic Formula", "image_url": "https://img.youtube.com/vi/OZtqz_xw0SQ/hqdefault.jpg", "youtube_id": "OZtqz_xw0SQ", "content_kind": "Video", "readable_id": "application-problem-with-quadratic-formula"}, {"translated_youtube_id": "_E3gx_yQhHQ", "relative_url": "/video/applying-the-quadratic-formula", "has_questions": false, "keywords": "u16_l5_t2_we2, Applying, the, Quadratic, Formula", "ka_url": "http://www.khanacademy.org/video/applying-the-quadratic-formula", "duration": 291, "translated_title": "Example 5: Using the quadratic formula", "translated_description_html": "Applying the Quadratic Formula", "id": "150088073", "description_html": "Applying the Quadratic Formula", "title": "Example 5: Using the quadratic formula", "progress_key": "v150088073", "edit_slug": "edit/v/150088073", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Applying the Quadratic Formula", "extra_properties": null, "node_slug": "v/applying-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_E3gx_yQhHQ.mp4/_E3gx_yQhHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_E3gx_yQhHQ.mp4/_E3gx_yQhHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_E3gx_yQhHQ.m3u8/_E3gx_yQhHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_E3gx_yQhHQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088073", "sha": "6815d2444a13c411ab621613d3e9812f259d4212", "translated_description": "Applying the Quadratic Formula", "image_url": "https://img.youtube.com/vi/_E3gx_yQhHQ/hqdefault.jpg", "youtube_id": "_E3gx_yQhHQ", "content_kind": "Video", "readable_id": "applying-the-quadratic-formula"}, {"translated_youtube_id": "dnjK4DPqh0k", "relative_url": "/video/complex-roots-from-the-quadratic-formula", "has_questions": false, "keywords": "u16_l5_t2_we3, Complex, Roots, from, the, Quadratic, Formula", "ka_url": "http://www.khanacademy.org/video/complex-roots-from-the-quadratic-formula", "duration": 615, "translated_title": "Example: Complex roots for a quadratic", "translated_description_html": "Complex Roots from the Quadratic Formula", "id": "150088081", "description_html": "Complex Roots from the Quadratic Formula", "title": "Example: Complex roots for a quadratic", "progress_key": "v150088081", "edit_slug": "edit/v/150088081", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Roots from the Quadratic Formula", "extra_properties": null, "node_slug": "v/complex-roots-from-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.m3u8/dnjK4DPqh0k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dnjK4DPqh0k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088081", "sha": "79bd5d5ab14bebae0bcaced835a4deaf665fb6cf", "translated_description": "Complex Roots from the Quadratic Formula", "image_url": "https://img.youtube.com/vi/dnjK4DPqh0k/hqdefault.jpg", "youtube_id": "dnjK4DPqh0k", "content_kind": "Video", "readable_id": "complex-roots-from-the-quadratic-formula"}, {"translated_youtube_id": "JBSDQLZtjFo", "relative_url": "/video/discriminant-of-quadratic-equations", "has_questions": false, "keywords": "Discriminant, of, Quadratic, Equations, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/discriminant-of-quadratic-equations", "duration": 614, "translated_title": "Discriminant of quadratic equations", "translated_description_html": "Discriminant of Quadratic Equations", "id": "23728", "description_html": "Discriminant of Quadratic Equations", "title": "Discriminant of quadratic equations", "progress_key": "v23728", "edit_slug": "edit/v/23728", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Discriminant of Quadratic Equations", "extra_properties": null, "node_slug": "v/discriminant-of-quadratic-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.mp4/JBSDQLZtjFo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.mp4/JBSDQLZtjFo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.m3u8/JBSDQLZtjFo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JBSDQLZtjFo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23728", "sha": "00a7dad77d6adf522219b98672fea15d2d33f278", "translated_description": "Discriminant of Quadratic Equations", "image_url": "https://img.youtube.com/vi/JBSDQLZtjFo/hqdefault.jpg", "youtube_id": "JBSDQLZtjFo", "content_kind": "Video", "readable_id": "discriminant-of-quadratic-equations"}, {"translated_youtube_id": "1213qW5k55I", "relative_url": "/video/discriminant-for-types-of-solutions-for-a-quadratic", "has_questions": false, "keywords": "u16_l5_t2_we4, Discriminant, for, Types, of, Solutions, Quadratic", "ka_url": "http://www.khanacademy.org/video/discriminant-for-types-of-solutions-for-a-quadratic", "duration": 277, "translated_title": "Discriminant for types of solutions for a quadratic", "translated_description_html": "Discriminant for Types of Solutions for a Quadratic", "id": "150009951", "description_html": "Discriminant for Types of Solutions for a Quadratic", "title": "Discriminant for types of solutions for a quadratic", "progress_key": "v150009951", "edit_slug": "edit/v/150009951", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Discriminant for Types of Solutions for a Quadratic", "extra_properties": null, "node_slug": "v/discriminant-for-types-of-solutions-for-a-quadratic", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.mp4/1213qW5k55I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.mp4/1213qW5k55I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.m3u8/1213qW5k55I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1213qW5k55I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150009951", "sha": "70819d0493e949cf45f614a354e3d54deb1648f0", "translated_description": "Discriminant for Types of Solutions for a Quadratic", "image_url": "https://img.youtube.com/vi/1213qW5k55I/hqdefault.jpg", "youtube_id": "1213qW5k55I", "content_kind": "Video", "readable_id": "discriminant-for-types-of-solutions-for-a-quadratic"}], "twitter_url": "", "translated_description": "Probably one of the most famous tools in mathematics, the quadratic formula (a.k.a. quadratic equation) helps you think about the roots of ANY quadratic (even ones that have no real roots)! As you'll see, it is just the by-product of completing the square, but understanding and applying the formula will take your algebra skills to new heights.\n\nIn theory, one could apply the quadratic formula in a brainless way without understanding factoring or completing the square, but that's lame and uninteresting. We recommend coming to this tutorial with a solid background in both of those techniques. Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Probably one of the most famous tools in mathematics, the quadratic formula (a.k.a. quadratic equation) helps you think about the roots of ANY quadratic (even ones that have no real roots)! As you'll see, it is just the by-product of completing the square, but understanding and applying the formula will take your algebra skills to new heights.\n\nIn theory, one could apply the quadratic formula in a brainless way without understanding factoring or completing the square, but that's lame and uninteresting. We recommend coming to this tutorial with a solid background in both of those techniques. Have fun!", "x_pos": 0.0, "node_slug": "quadratic_formula", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax40bf111d", "topic_page_url": "/math/algebra/quadratics/quadratic_formula", "extended_slug": "math/algebra/quadratics/quadratic_formula", "slug": "quadratic_formula", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1be37df4f13649aa3b550e96e95809442e8e425d", "standalone_title": "The quadratic formula (quadratic equation)", "y_pos": 0.0, "current_revision_key": "1be37df4f13649aa3b550e96e95809442e8e425d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/solving_graphing_quadratics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics", "translated_standalone_title": "Solving and graphing quadratics", "translated_title": "Graphing quadratics", "gplus_url": "", "id": "xf44db6ed", "old_key_name": "BUeswrpF0TYGtMe9g977M_j_BSG1EFCb78y_TgDb", "hide": false, "title": "Graphing quadratics", "child_data": [{"kind": "Video", "id": 364967635}, {"kind": "Video", "id": 26996}, {"kind": "Video", "id": 26997}, {"kind": "Video", "id": "xe4f68c07"}, {"kind": "Exercise", "id": 643274503}, {"kind": "Video", "id": 23716}, {"kind": "Video", "id": "xe26c2892"}, {"kind": "Exercise", "id": 643163590}, {"kind": "Video", "id": "xac1e66a2"}, {"kind": "Exercise", "id": 617781850}, {"kind": "Exercise", "id": 617787563}, {"kind": "Video", "id": 23552}, {"kind": "Video", "id": 23554}, {"kind": "Video", "id": "x2dc2107e"}, {"kind": "Exercise", "id": 310321303}], "children": [{"translated_youtube_id": "nh3_IGxHA5A", "relative_url": "/video/graphing-a-quadratic-function", "has_questions": false, "keywords": "u17_l2_t2_we2, Graphing, Quadratic, Function , parabola", "ka_url": "http://www.khanacademy.org/video/graphing-a-quadratic-function", "duration": 424, "translated_title": "Graphing a parabola with a table of values", "translated_description_html": "

Graphing a parabola with a table of values<\/p>\n", "id": "364967635", "description_html": "

Graphing a parabola with a table of values<\/p>\n", "title": "Graphing a parabola with a table of values", "progress_key": "v364967635", "edit_slug": "edit/v/364967635", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a parabola with a table of values\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-a-quadratic-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.mp4/nh3_IGxHA5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.mp4/nh3_IGxHA5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.m3u8/nh3_IGxHA5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nh3_IGxHA5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967635", "sha": "6ec0211911d41830131141b5397f6ac40baadd95", "translated_description": "Graphing a parabola with a table of values\n", "image_url": "https://img.youtube.com/vi/nh3_IGxHA5A/hqdefault.jpg", "youtube_id": "nh3_IGxHA5A", "content_kind": "Video", "readable_id": "graphing-a-quadratic-function"}, {"translated_youtube_id": "dfoXtodyiIA", "relative_url": "/video/quadratic-functions-2", "has_questions": false, "keywords": "U10_L1_T1_we2, Quadratic, Functions, CC_39336_A-REI_4, CC_39336_A-SSE_3_b, CC_39336_F-IF_7_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/quadratic-functions-2", "duration": 442, "translated_title": "Parabola vertex and axis of symmetry", "translated_description_html": "

Parabola vertex and axis of symmetry<\/p>\n", "id": "26996", "description_html": "

Parabola vertex and axis of symmetry<\/p>\n", "title": "Parabola vertex and axis of symmetry", "progress_key": "v26996", "edit_slug": "edit/v/26996", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola vertex and axis of symmetry\n", "extra_properties": {"original_url": ""}, "node_slug": "v/quadratic-functions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dfoXtodyiIA.mp4/dfoXtodyiIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dfoXtodyiIA.mp4/dfoXtodyiIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dfoXtodyiIA.m3u8/dfoXtodyiIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dfoXtodyiIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26996", "sha": "55552244de4e6891836b6dab6e5d19d10c55b388", "translated_description": "Parabola vertex and axis of symmetry\n", "image_url": "https://img.youtube.com/vi/dfoXtodyiIA/hqdefault.jpg", "youtube_id": "dfoXtodyiIA", "content_kind": "Video", "readable_id": "quadratic-functions-2"}, {"translated_youtube_id": "TgKBc3Igx1I", "relative_url": "/video/quadratic-functions-3", "has_questions": false, "keywords": "U10_L1_T1_we3, Quadratic, Functions, CC_39336_A-REI_4, CC_39336_A-SSE_3_b, CC_39336_F-IF_7_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/quadratic-functions-3", "duration": 384, "translated_title": "Graphing a parabola by finding the roots and vertex", "translated_description_html": "

Graphing a parabola by finding the roots and vertex<\/p>\n", "id": "26997", "description_html": "

Graphing a parabola by finding the roots and vertex<\/p>\n", "title": "Graphing a parabola by finding the roots and vertex", "progress_key": "v26997", "edit_slug": "edit/v/26997", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a parabola by finding the roots and vertex\n", "extra_properties": {"original_url": ""}, "node_slug": "v/quadratic-functions-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TgKBc3Igx1I.mp4/TgKBc3Igx1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TgKBc3Igx1I.mp4/TgKBc3Igx1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TgKBc3Igx1I.m3u8/TgKBc3Igx1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TgKBc3Igx1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26997", "sha": "6b1ed072a5ef6478f9ba8876741184306e1a4f11", "translated_description": "Graphing a parabola by finding the roots and vertex\n", "image_url": "https://img.youtube.com/vi/TgKBc3Igx1I/hqdefault.jpg", "youtube_id": "TgKBc3Igx1I", "content_kind": "Video", "readable_id": "quadratic-functions-3"}, {"translated_youtube_id": "IbI-l7mbKO4", "relative_url": "/video/finding-the-vertex-of-a-parabola-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-the-vertex-of-a-parabola-example", "duration": 340, "translated_title": "Finding the vertex of a parabola example", "translated_description_html": "", "id": "xe4f68c07", "description_html": "", "title": "Finding the vertex of a parabola example", "progress_key": "vxe4f68c07", "edit_slug": "edit/v/xe4f68c07", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/finding-the-vertex-of-a-parabola-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IbI-l7mbKO4.mp4/IbI-l7mbKO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IbI-l7mbKO4.mp4/IbI-l7mbKO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IbI-l7mbKO4.m3u8/IbI-l7mbKO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IbI-l7mbKO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe4f68c07", "sha": "0b9ce033df9acd9090c70ae8ba0c1b4279543864", "translated_description": "", "image_url": "https://img.youtube.com/vi/IbI-l7mbKO4/hqdefault.jpg", "youtube_id": "IbI-l7mbKO4", "content_kind": "Video", "readable_id": "finding-the-vertex-of-a-parabola-example"}, {"translated_youtube_id": "RjkTEyO5Zso", "relative_url": "/video/graphs-of-quadratic-functions", "has_questions": false, "keywords": "Graphs, of, Quadratic, Functions", "ka_url": "http://www.khanacademy.org/video/graphs-of-quadratic-functions", "duration": 965, "translated_title": "Multiple examples graphing parabolas using roots and vertices", "translated_description_html": "

Multiple examples graphing parabolas using roots and vertices<\/p>\n", "id": "23716", "description_html": "

Multiple examples graphing parabolas using roots and vertices<\/p>\n", "title": "Multiple examples graphing parabolas using roots and vertices", "progress_key": "v23716", "edit_slug": "edit/v/23716", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiple examples graphing parabolas using roots and vertices\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphs-of-quadratic-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RjkTEyO5Zso.mp4/RjkTEyO5Zso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RjkTEyO5Zso.mp4/RjkTEyO5Zso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RjkTEyO5Zso.m3u8/RjkTEyO5Zso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RjkTEyO5Zso&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23716", "sha": "d894f1566a929842be1ffb3bb96a6c8da9717f33", "translated_description": "Multiple examples graphing parabolas using roots and vertices\n", "image_url": "https://img.youtube.com/vi/RjkTEyO5Zso/hqdefault.jpg", "youtube_id": "RjkTEyO5Zso", "content_kind": "Video", "readable_id": "graphs-of-quadratic-functions"}, {"translated_youtube_id": "MQtsRYPx3v0", "relative_url": "/video/graphing-a-parabola-using-roots-and-vertex", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-a-parabola-using-roots-and-vertex", "duration": 281, "translated_title": "Graphing a parabola using roots and vertex", "translated_description_html": "", "id": "xe26c2892", "description_html": "", "title": "Graphing a parabola using roots and vertex", "progress_key": "vxe26c2892", "edit_slug": "edit/v/xe26c2892", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-a-parabola-using-roots-and-vertex", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-06T21:46:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MQtsRYPx3v0.mp4/MQtsRYPx3v0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MQtsRYPx3v0.mp4/MQtsRYPx3v0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MQtsRYPx3v0.m3u8/MQtsRYPx3v0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MQtsRYPx3v0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe26c2892", "sha": "94b99b0670f2684af42f62024d31cc6df4eaf9ec", "translated_description": "", "image_url": "https://img.youtube.com/vi/MQtsRYPx3v0/hqdefault.jpg", "youtube_id": "MQtsRYPx3v0", "content_kind": "Video", "readable_id": "graphing-a-parabola-using-roots-and-vertex"}, {"translated_youtube_id": "7QMoNY6FzvM", "relative_url": "/video/graphing-a-parabola-in-vertex-form", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphing-a-parabola-in-vertex-form", "duration": 196, "translated_title": "Graphing a parabola in vertex form", "translated_description_html": "", "id": "xac1e66a2", "description_html": "", "title": "Graphing a parabola in vertex form", "progress_key": "vxac1e66a2", "edit_slug": "edit/v/xac1e66a2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-a-parabola-in-vertex-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-06T21:46:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7QMoNY6FzvM.mp4/7QMoNY6FzvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7QMoNY6FzvM.mp4/7QMoNY6FzvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7QMoNY6FzvM.m3u8/7QMoNY6FzvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7QMoNY6FzvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxac1e66a2", "sha": "27529a80366a83e944fddfa9c84bc29a7858ddbf", "translated_description": "", "image_url": "https://img.youtube.com/vi/7QMoNY6FzvM/hqdefault.jpg", "youtube_id": "7QMoNY6FzvM", "content_kind": "Video", "readable_id": "graphing-a-parabola-in-vertex-form"}, {"translated_youtube_id": "ZJf9shWlMz0", "relative_url": "/video/parabola-focus-and-directrix-1", "has_questions": false, "keywords": "parabola, focus, directrix, conic, section", "ka_url": "http://www.khanacademy.org/video/parabola-focus-and-directrix-1", "duration": 871, "translated_title": "Parabola focus and directrix 1", "translated_description_html": "Parabola as the locus of all points equidistant from a point and a line", "id": "23552", "description_html": "Parabola as the locus of all points equidistant from a point and a line", "title": "Parabola focus and directrix 1", "progress_key": "v23552", "edit_slug": "edit/v/23552", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola as the locus of all points equidistant from a point and a line", "extra_properties": null, "node_slug": "v/parabola-focus-and-directrix-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.m3u8/ZJf9shWlMz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZJf9shWlMz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23552", "sha": "38342ab4fb96e9957a4cf7c48362065871d5e91b", "translated_description": "Parabola as the locus of all points equidistant from a point and a line", "image_url": "https://img.youtube.com/vi/ZJf9shWlMz0/hqdefault.jpg", "youtube_id": "ZJf9shWlMz0", "content_kind": "Video", "readable_id": "parabola-focus-and-directrix-1"}, {"translated_youtube_id": "1Jm9rREA-uA", "relative_url": "/video/focus-and-directrix-of-a-parabola-2", "has_questions": false, "keywords": "focus, directrix, parabola, conic, section", "ka_url": "http://www.khanacademy.org/video/focus-and-directrix-of-a-parabola-2", "duration": 1108, "translated_title": "Focus and directrix of a parabola 2", "translated_description_html": "Finding the focus and directrix of a parabola", "id": "23554", "description_html": "Finding the focus and directrix of a parabola", "title": "Focus and directrix of a parabola 2", "progress_key": "v23554", "edit_slug": "edit/v/23554", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the focus and directrix of a parabola", "extra_properties": null, "node_slug": "v/focus-and-directrix-of-a-parabola-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.m3u8/1Jm9rREA-uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Jm9rREA-uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23554", "sha": "3b833f014f40adc8ad02a0d34632b72567f083d9", "translated_description": "Finding the focus and directrix of a parabola", "image_url": "https://img.youtube.com/vi/1Jm9rREA-uA/hqdefault.jpg", "youtube_id": "1Jm9rREA-uA", "content_kind": "Video", "readable_id": "focus-and-directrix-of-a-parabola-2"}, {"translated_youtube_id": "XwtyQsCLnEE", "relative_url": "/video/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola", "duration": 495, "translated_title": "Using the focus and directrix to find the equation of a parabola", "translated_description_html": "", "id": "x2dc2107e", "description_html": "", "title": "Using the focus and directrix to find the equation of a parabola", "progress_key": "vx2dc2107e", "edit_slug": "edit/v/x2dc2107e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T18:04:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XwtyQsCLnEE.mp4/XwtyQsCLnEE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XwtyQsCLnEE.mp4/XwtyQsCLnEE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XwtyQsCLnEE.m3u8/XwtyQsCLnEE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XwtyQsCLnEE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2dc2107e", "sha": "69b1e436f894079fa3765e6b4b65b616e4d2a60e", "translated_description": "", "image_url": "https://img.youtube.com/vi/XwtyQsCLnEE/hqdefault.jpg", "youtube_id": "XwtyQsCLnEE", "content_kind": "Video", "readable_id": "using-the-focus-and-directrix-to-find-the-equation-of-a-parabola"}], "twitter_url": "", "translated_description": "Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x² someplace? Well, look no further.\n\nIn this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x² someplace? Well, look no further.\n\nIn this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.", "x_pos": 0.0, "node_slug": "solving_graphing_quadratics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf44db6ed", "topic_page_url": "/math/algebra/quadratics/solving_graphing_quadratics", "extended_slug": "math/algebra/quadratics/solving_graphing_quadratics", "slug": "solving_graphing_quadratics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a4df33848828fd803c160f529359fd8f5d4f729e", "standalone_title": "Solving and graphing quadratics", "y_pos": 0.0, "current_revision_key": "a4df33848828fd803c160f529359fd8f5d4f729e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/quadratic_inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/quadratic_inequalities", "translated_standalone_title": "Quadratic inequalities", "translated_title": "Quadratic inequalities", "gplus_url": "", "id": "xf00f5342", "old_key_name": "PRXtzsjnV0GV5oS0SY8axPeI3azdZkKBFsunSyD0", "hide": false, "title": "Quadratic inequalities", "child_data": [{"kind": "Video", "id": 23500}, {"kind": "Video", "id": 23502}], "children": [{"translated_youtube_id": "ZNtzWpU80-0", "relative_url": "/video/quadratic-inequalities", "has_questions": false, "keywords": "quadratic, factoring, inequality, algebra", "ka_url": "http://www.khanacademy.org/video/quadratic-inequalities", "duration": 588, "translated_title": "Quadratic inequalities", "translated_description_html": "Solving quadratic inequalities using factoring", "id": "23500", "description_html": "Solving quadratic inequalities using factoring", "title": "Quadratic inequalities", "progress_key": "v23500", "edit_slug": "edit/v/23500", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving quadratic inequalities using factoring", "extra_properties": null, "node_slug": "v/quadratic-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.mp4/ZNtzWpU80-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.mp4/ZNtzWpU80-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.m3u8/ZNtzWpU80-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZNtzWpU80-0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23500", "sha": "7a4904aee1fa2d235c944337b05d844c850b7cec", "translated_description": "Solving quadratic inequalities using factoring", "image_url": "https://img.youtube.com/vi/ZNtzWpU80-0/hqdefault.jpg", "youtube_id": "ZNtzWpU80-0", "content_kind": "Video", "readable_id": "quadratic-inequalities"}, {"translated_youtube_id": "xdiBjypYFRQ", "relative_url": "/video/quadratic-inequalities--visual-explanation", "has_questions": false, "keywords": "Algebra, Math, Khan", "ka_url": "http://www.khanacademy.org/video/quadratic-inequalities--visual-explanation", "duration": 591, "translated_title": "Quadratic inequalities (visual explanation)", "translated_description_html": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "id": "23502", "description_html": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "title": "Quadratic inequalities (visual explanation)", "progress_key": "v23502", "edit_slug": "edit/v/23502", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "extra_properties": null, "node_slug": "v/quadratic-inequalities--visual-explanation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.m3u8/xdiBjypYFRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xdiBjypYFRQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23502", "sha": "ba319643080d313ecfaf7f339f686b8ca08e1faa", "translated_description": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "image_url": "https://img.youtube.com/vi/xdiBjypYFRQ/hqdefault.jpg", "youtube_id": "xdiBjypYFRQ", "content_kind": "Video", "readable_id": "quadratic-inequalities--visual-explanation"}], "twitter_url": "", "translated_description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", "x_pos": 0.0, "node_slug": "quadratic_inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf00f5342", "topic_page_url": "/math/algebra/quadratics/quadratic_inequalities", "extended_slug": "math/algebra/quadratics/quadratic_inequalities", "slug": "quadratic_inequalities", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "63af3a33f63be541b1e79a2a2c909504251a445e", "standalone_title": "Quadratic inequalities", "y_pos": 0.0, "current_revision_key": "63af3a33f63be541b1e79a2a2c909504251a445e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/quadratics/quadratic_odds_ends", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends", "translated_standalone_title": "Quadratic odds and ends", "translated_title": "Quadratic odds and ends", "gplus_url": "", "id": "x1dff035b", "old_key_name": "monlzjxFes5mwT41OpiZaDvaKsjATs8XFwxCJ7dG", "hide": false, "title": "Quadratic odds and ends", "child_data": [{"kind": "Video", "id": 23484}, {"kind": "Video", "id": 24378}, {"kind": "Video", "id": 24410}, {"kind": "Video", "id": 24412}, {"kind": "Video", "id": 24380}, {"kind": "Video", "id": 23492}, {"kind": "Video", "id": 23494}, {"kind": "Video", "id": 23498}, {"kind": "Video", "id": 24382}, {"kind": "Video", "id": 24384}], "children": [{"translated_youtube_id": "N30tN9158Kc", "relative_url": "/video/solving-a-quadratic-by-factoring", "has_questions": false, "keywords": "algebra, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/solving-a-quadratic-by-factoring", "duration": 552, "translated_title": "Solving a quadratic by factoring", "translated_description_html": "factoring quadratics", "id": "23484", "description_html": "factoring quadratics", "title": "Solving a quadratic by factoring", "progress_key": "v23484", "edit_slug": "edit/v/23484", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "factoring quadratics", "extra_properties": null, "node_slug": "v/solving-a-quadratic-by-factoring", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N30tN9158Kc.mp4/N30tN9158Kc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N30tN9158Kc.mp4/N30tN9158Kc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N30tN9158Kc.m3u8/N30tN9158Kc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N30tN9158Kc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23484", "sha": "ee61433a913bd11bd4da55246e00f7b34bdc4c54", "translated_description": "factoring quadratics", "image_url": "https://img.youtube.com/vi/N30tN9158Kc/hqdefault.jpg", "youtube_id": "N30tN9158Kc", "content_kind": "Video", "readable_id": "solving-a-quadratic-by-factoring"}, {"translated_youtube_id": "K5ggNnKTmNM", "relative_url": "/video/ca-algebra-i--factoring-quadratics", "has_questions": false, "keywords": "algebra, factoring, quadratic", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--factoring-quadratics", "duration": 712, "translated_title": "CA Algebra I: Factoring quadratics", "translated_description_html": "44-47, factoring quadratics", "id": "24378", "description_html": "44-47, factoring quadratics", "title": "CA Algebra I: Factoring quadratics", "progress_key": "v24378", "edit_slug": "edit/v/24378", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "44-47, factoring quadratics", "extra_properties": null, "node_slug": "v/ca-algebra-i--factoring-quadratics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.mp4/K5ggNnKTmNM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.mp4/K5ggNnKTmNM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.m3u8/K5ggNnKTmNM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K5ggNnKTmNM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24378", "sha": "163ee8a5cd83b33ce6d7160656ddefca7adb4def", "translated_description": "44-47, factoring quadratics", "image_url": "https://img.youtube.com/vi/K5ggNnKTmNM/hqdefault.jpg", "youtube_id": "K5ggNnKTmNM", "content_kind": "Video", "readable_id": "ca-algebra-i--factoring-quadratics"}, {"translated_youtube_id": "GHDrDdu6vrU", "relative_url": "/video/algebra-ii--quadratics-and-shifts", "has_questions": false, "keywords": "algebra, caslifornia, standards, quadratic, graph, shift", "ka_url": "http://www.khanacademy.org/video/algebra-ii--quadratics-and-shifts", "duration": 714, "translated_title": "Algebra II: Quadratics and shifts", "translated_description_html": "32-35, Solving quadratics and graph shifts", "id": "24410", "description_html": "32-35, Solving quadratics and graph shifts", "title": "Algebra II: Quadratics and shifts", "progress_key": "v24410", "edit_slug": "edit/v/24410", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "32-35, Solving quadratics and graph shifts", "extra_properties": null, "node_slug": "v/algebra-ii--quadratics-and-shifts", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.mp4/GHDrDdu6vrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.mp4/GHDrDdu6vrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.m3u8/GHDrDdu6vrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GHDrDdu6vrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24410", "sha": "70962dfd1a0361f8e477fc4a3515ad4ffee4061d", "translated_description": "32-35, Solving quadratics and graph shifts", "image_url": "https://img.youtube.com/vi/GHDrDdu6vrU/hqdefault.jpg", "youtube_id": "GHDrDdu6vrU", "content_kind": "Video", "readable_id": "algebra-ii--quadratics-and-shifts"}, {"translated_youtube_id": "X9rTIwc1wRU", "relative_url": "/video/algebra-ii--shifting-quadratic-graphs", "has_questions": false, "keywords": "shifting, quadartic, graph, roots", "ka_url": "http://www.khanacademy.org/video/algebra-ii--shifting-quadratic-graphs", "duration": 691, "translated_title": "Examples: Graphing and interpreting quadratics", "translated_description_html": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "id": "24412", "description_html": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "title": "Examples: Graphing and interpreting quadratics", "progress_key": "v24412", "edit_slug": "edit/v/24412", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "extra_properties": null, "node_slug": "v/algebra-ii--shifting-quadratic-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.mp4/X9rTIwc1wRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.mp4/X9rTIwc1wRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.m3u8/X9rTIwc1wRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X9rTIwc1wRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24412", "sha": "2857450b522ddb5cc71a41074b8d9a3c1a42b676", "translated_description": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "image_url": "https://img.youtube.com/vi/X9rTIwc1wRU/hqdefault.jpg", "youtube_id": "X9rTIwc1wRU", "content_kind": "Video", "readable_id": "algebra-ii--shifting-quadratic-graphs"}, {"translated_youtube_id": "8M4c8TB3Cdc", "relative_url": "/video/ca-algebra-i--completing-the-square", "has_questions": false, "keywords": "algebra, completing, the, square", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--completing-the-square", "duration": 828, "translated_title": "CA Algebra I: Completing the square", "translated_description_html": "48-52, completing the square", "id": "24380", "description_html": "48-52, completing the square", "title": "CA Algebra I: Completing the square", "progress_key": "v24380", "edit_slug": "edit/v/24380", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "48-52, completing the square", "extra_properties": null, "node_slug": "v/ca-algebra-i--completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.mp4/8M4c8TB3Cdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.mp4/8M4c8TB3Cdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.m3u8/8M4c8TB3Cdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8M4c8TB3Cdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24380", "sha": "d2f6a5de99ecfc8eddbad1114b4b302b7308a54d", "translated_description": "48-52, completing the square", "image_url": "https://img.youtube.com/vi/8M4c8TB3Cdc/hqdefault.jpg", "youtube_id": "8M4c8TB3Cdc", "content_kind": "Video", "readable_id": "ca-algebra-i--completing-the-square"}, {"translated_youtube_id": "IWigvJcCAJ0", "relative_url": "/video/introduction-to-the-quadratic-equation", "has_questions": false, "keywords": "quadratic, equation, khan, algebra, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-quadratic-equation", "duration": 555, "translated_title": "Introduction to the quadratic equation", "translated_description_html": "

Introduction to using the quadratic equation to solve 2nd degree polynomial equations<\/p>\n", "id": "23492", "description_html": "

Introduction to using the quadratic equation to solve 2nd degree polynomial equations<\/p>\n", "title": "Introduction to the quadratic equation", "progress_key": "v23492", "edit_slug": "edit/v/23492", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to using the quadratic equation to solve 2nd degree polynomial equations\n", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-the-quadratic-equation", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IWigvJcCAJ0.mp4/IWigvJcCAJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IWigvJcCAJ0.mp4/IWigvJcCAJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IWigvJcCAJ0.m3u8/IWigvJcCAJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IWigvJcCAJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23492", "sha": "5760f2d5ae1c91a0d478acccd515ae490e2e6b9d", "translated_description": "Introduction to using the quadratic equation to solve 2nd degree polynomial equations\n", "image_url": "https://img.youtube.com/vi/IWigvJcCAJ0/hqdefault.jpg", "youtube_id": "IWigvJcCAJ0", "content_kind": "Video", "readable_id": "introduction-to-the-quadratic-equation"}, {"translated_youtube_id": "y19jYxzY8Y8", "relative_url": "/video/quadratic-equation-part-2", "has_questions": false, "keywords": "algebra, quadratic, equation, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/quadratic-equation-part-2", "duration": 554, "translated_title": "Quadratic equation part 2", "translated_description_html": "2 more examples of solving equations using the quadratic equation", "id": "23494", "description_html": "2 more examples of solving equations using the quadratic equation", "title": "Quadratic equation part 2", "progress_key": "v23494", "edit_slug": "edit/v/23494", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 more examples of solving equations using the quadratic equation", "extra_properties": null, "node_slug": "v/quadratic-equation-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y19jYxzY8Y8.mp4/y19jYxzY8Y8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y19jYxzY8Y8.mp4/y19jYxzY8Y8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y19jYxzY8Y8.m3u8/y19jYxzY8Y8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y19jYxzY8Y8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23494", "sha": "064b498e5454c3775a5b70257ca18468d7ebca29", "translated_description": "2 more examples of solving equations using the quadratic equation", "image_url": "https://img.youtube.com/vi/y19jYxzY8Y8/hqdefault.jpg", "youtube_id": "y19jYxzY8Y8", "content_kind": "Video", "readable_id": "quadratic-equation-part-2"}, {"translated_youtube_id": "mDmRYfma9C0", "relative_url": "/video/quadratic-formula--proof", "has_questions": false, "keywords": "quadratic, formula, algebra, completing, square, CC_39336_A-REI_4_a", "ka_url": "http://www.khanacademy.org/video/quadratic-formula--proof", "duration": 454, "translated_title": "Quadratic formula (proof)", "translated_description_html": "Deriving the quadratic formula by completing the square.", "id": "23498", "description_html": "Deriving the quadratic formula by completing the square.", "title": "Quadratic formula (proof)", "progress_key": "v23498", "edit_slug": "edit/v/23498", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deriving the quadratic formula by completing the square.", "extra_properties": null, "node_slug": "v/quadratic-formula--proof", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mDmRYfma9C0.mp4/mDmRYfma9C0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mDmRYfma9C0.mp4/mDmRYfma9C0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mDmRYfma9C0.m3u8/mDmRYfma9C0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mDmRYfma9C0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23498", "sha": "490ff441a9cb2a752fbc21526228f04a2f732b80", "translated_description": "Deriving the quadratic formula by completing the square.", "image_url": "https://img.youtube.com/vi/mDmRYfma9C0/hqdefault.jpg", "youtube_id": "mDmRYfma9C0", "content_kind": "Video", "readable_id": "quadratic-formula--proof"}, {"translated_youtube_id": "tSNtCg7o7bA", "relative_url": "/video/ca-algebra-i--quadratic-equation", "has_questions": false, "keywords": "algebra, quadratic, equation", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--quadratic-equation", "duration": 614, "translated_title": "CA Algebra I: Quadratic equation", "translated_description_html": "53-57, Quadratic Equation", "id": "24382", "description_html": "53-57, Quadratic Equation", "title": "CA Algebra I: Quadratic equation", "progress_key": "v24382", "edit_slug": "edit/v/24382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "53-57, Quadratic Equation", "extra_properties": null, "node_slug": "v/ca-algebra-i--quadratic-equation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.mp4/tSNtCg7o7bA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.mp4/tSNtCg7o7bA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.m3u8/tSNtCg7o7bA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tSNtCg7o7bA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24382", "sha": "292615d58ce1a6722a8cfe6e7be157c3802c2c19", "translated_description": "53-57, Quadratic Equation", "image_url": "https://img.youtube.com/vi/tSNtCg7o7bA/hqdefault.jpg", "youtube_id": "tSNtCg7o7bA", "content_kind": "Video", "readable_id": "ca-algebra-i--quadratic-equation"}, {"translated_youtube_id": "uA6mcx4FMN8", "relative_url": "/video/ca-algebra-i--quadratic-roots", "has_questions": false, "keywords": "algebra, x-intercept, quadratic, function", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--quadratic-roots", "duration": 866, "translated_title": "CA Algebra I: Quadratic roots", "translated_description_html": "58-62, x-intercepts of a quadratic function", "id": "24384", "description_html": "58-62, x-intercepts of a quadratic function", "title": "CA Algebra I: Quadratic roots", "progress_key": "v24384", "edit_slug": "edit/v/24384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "58-62, x-intercepts of a quadratic function", "extra_properties": null, "node_slug": "v/ca-algebra-i--quadratic-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.mp4/uA6mcx4FMN8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.mp4/uA6mcx4FMN8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.m3u8/uA6mcx4FMN8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uA6mcx4FMN8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24384", "sha": "999ee4db7174f82fecc81d0c2cfcf6c52d811a53", "translated_description": "58-62, x-intercepts of a quadratic function", "image_url": "https://img.youtube.com/vi/uA6mcx4FMN8/hqdefault.jpg", "youtube_id": "uA6mcx4FMN8", "content_kind": "Video", "readable_id": "ca-algebra-i--quadratic-roots"}], "twitter_url": "", "translated_description": "This tutorial has a bunch of extra, but random, videos on quadratics. A completely optional tutorial that you may or may not want to look at. If you do, watch it last. There are some Sal oldies here and some random examples.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial has a bunch of extra, but random, videos on quadratics. A completely optional tutorial that you may or may not want to look at. If you do, watch it last. There are some Sal oldies here and some random examples.", "x_pos": 0.0, "node_slug": "quadratic_odds_ends", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1dff035b", "topic_page_url": "/math/algebra/quadratics/quadratic_odds_ends", "extended_slug": "math/algebra/quadratics/quadratic_odds_ends", "slug": "quadratic_odds_ends", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6a4a4e54aa324c8188e021b8875842a633e1c427", "standalone_title": "Quadratic odds and ends", "y_pos": 0.0, "current_revision_key": "6a4a4e54aa324c8188e021b8875842a633e1c427", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "In this topic, we'll analyze, graph and solve quadratic equations.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "In this topic, we'll analyze, graph and solve quadratic equations.", "x_pos": -1.0, "node_slug": "quadratics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax46068850", "topic_page_url": "/math/algebra/quadratics", "extended_slug": "math/algebra/quadratics", "slug": "quadratics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ed1630278d51cf5fb14da899213a980998aad56a", "standalone_title": "Quadratic equations", "y_pos": 49.0, "current_revision_key": "ed1630278d51cf5fb14da899213a980998aad56a", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/exponents-and-radicals-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/exponent-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/exponent-equations", "translated_standalone_title": "Exponent expressions and equations", "translated_title": "Exponent expressions and equations", "gplus_url": "", "id": "x929e00f1", "old_key_name": "btJEpdEmmhhYt0pelz-5BBCZXl4ft3nGTawvnrPq", "hide": false, "title": "Exponent expressions and equations", "child_data": [{"kind": "Topic", "id": "xbb20af3b"}, {"kind": "Topic", "id": "x2a5fe36e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/exponent-equations/exponent-properties-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra", "translated_standalone_title": "Exponent properties", "translated_title": "Exponent properties", "gplus_url": "", "id": "xbb20af3b", "old_key_name": "9YD1Ch9uG5ajqF9L8fQh3-ocbuBQl5Jbf1iCUBGy", "hide": false, "title": "Exponent properties", "child_data": [{"kind": "Video", "id": 466047499}, {"kind": "Video", "id": 13179499}, {"kind": "Video", "id": 25769}, {"kind": "Video", "id": 25771}, {"kind": "Video", "id": 13179500}, {"kind": "Video", "id": 13179501}, {"kind": "Video", "id": 13179502}, {"kind": "Video", "id": 13179503}, {"kind": "Exercise", "id": 1383549742}, {"kind": "Video", "id": 13179504}, {"kind": "Video", "id": 13179505}, {"kind": "Video", "id": 13179506}, {"kind": "Video", "id": 125518446}, {"kind": "Video", "id": 126711576}, {"kind": "Video", "id": 126711580}, {"kind": "Video", "id": 126711575}, {"kind": "Video", "id": 23742}, {"kind": "Video", "id": 127771046}, {"kind": "Video", "id": 127771043}, {"kind": "Video", "id": 127771044}, {"kind": "Video", "id": 127771042}, {"kind": "Video", "id": 126711577}, {"kind": "Video", "id": 126711579}, {"kind": "Video", "id": 126711574}, {"kind": "Video", "id": 23746}, {"kind": "Video", "id": 26899}, {"kind": "Video", "id": 26900}, {"kind": "Video", "id": 26901}, {"kind": "Video", "id": 26913}, {"kind": "Video", "id": 26914}, {"kind": "Video", "id": 8187331}, {"kind": "Exercise", "id": 498092433}], "children": [{"translated_youtube_id": "JUGmviJC_pk", "relative_url": "/video/negative-and-positive-exponents", "has_questions": false, "keywords": "u11, l1, t1, we3, Negative, and, Positive, Exponents", "ka_url": "http://www.khanacademy.org/video/negative-and-positive-exponents", "duration": 139, "translated_title": "Negative and positive exponents", "translated_description_html": "Negative and Positive Exponents", "id": "466047499", "description_html": "Negative and Positive Exponents", "title": "Negative and positive exponents", "progress_key": "v466047499", "edit_slug": "edit/v/466047499", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Negative and Positive Exponents", "extra_properties": null, "node_slug": "v/negative-and-positive-exponents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JUGmviJC_pk.mp4/JUGmviJC_pk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JUGmviJC_pk.mp4/JUGmviJC_pk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JUGmviJC_pk.m3u8/JUGmviJC_pk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JUGmviJC_pk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466047499", "sha": "abbd6308d8959e23f94acd32a71778dfc5fa9d1a", "translated_description": "Negative and Positive Exponents", "image_url": "https://img.youtube.com/vi/JUGmviJC_pk/hqdefault.jpg", "youtube_id": "JUGmviJC_pk", "content_kind": "Video", "readable_id": "negative-and-positive-exponents"}, {"translated_youtube_id": "U8kmaUXaPJY", "relative_url": "/video/evaluating-exponential-expressions-3", "has_questions": false, "keywords": "u11_l1_t1_we3, Evaluating, exponential, expressions, CC_6_EE_1, CC_6_EE_2, CC_6_EE_2_c, CC_8_EE_1, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/evaluating-exponential-expressions-3", "duration": 266, "translated_title": "Evaluating exponential expressions 3", "translated_description_html": " Evaluating exponential expressions 3", "id": "13179499", "description_html": " Evaluating exponential expressions 3", "title": "Evaluating exponential expressions 3", "progress_key": "v13179499", "edit_slug": "edit/v/13179499", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": " Evaluating exponential expressions 3", "extra_properties": null, "node_slug": "v/evaluating-exponential-expressions-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U8kmaUXaPJY.mp4/U8kmaUXaPJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U8kmaUXaPJY.mp4/U8kmaUXaPJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U8kmaUXaPJY.m3u8/U8kmaUXaPJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U8kmaUXaPJY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179499", "sha": "100acab88e03c8e6cee9f7c73b385654e80a46c2", "translated_description": " Evaluating exponential expressions 3", "image_url": "https://img.youtube.com/vi/U8kmaUXaPJY/hqdefault.jpg", "youtube_id": "U8kmaUXaPJY", "content_kind": "Video", "readable_id": "evaluating-exponential-expressions-3"}, {"translated_youtube_id": "kITJ6qH7jS0", "relative_url": "/video/exponent-rules-part-1", "has_questions": false, "keywords": "Math, exponents, exponent, rules, Khan, Academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-1", "duration": 583, "translated_title": "Exponent rules part 1", "translated_description_html": "Introduction to exponent rules", "id": "25769", "description_html": "Introduction to exponent rules", "title": "Exponent rules part 1", "progress_key": "v25769", "edit_slug": "edit/v/25769", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to exponent rules", "extra_properties": null, "node_slug": "v/exponent-rules-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.mp4/kITJ6qH7jS0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kITJ6qH7jS0.m3u8/kITJ6qH7jS0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kITJ6qH7jS0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25769", "sha": "e2b19a149a119a34161603e6b302284c333e7918", "translated_description": "Introduction to exponent rules", "image_url": "https://img.youtube.com/vi/kITJ6qH7jS0/hqdefault.jpg", "youtube_id": "kITJ6qH7jS0", "content_kind": "Video", "readable_id": "exponent-rules-part-1"}, {"translated_youtube_id": "rEtuPhl6930", "relative_url": "/video/exponent-rules-part-2", "has_questions": false, "keywords": "Math, exponents, algebra, exponent, rules, khan, academy, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-rules-part-2", "duration": 463, "translated_title": "Exponent rules part 2", "translated_description_html": "2 more exponent rules with an introduction to composite problems", "id": "25771", "description_html": "2 more exponent rules with an introduction to composite problems", "title": "Exponent rules part 2", "progress_key": "v25771", "edit_slug": "edit/v/25771", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 more exponent rules with an introduction to composite problems", "extra_properties": null, "node_slug": "v/exponent-rules-part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.mp4/rEtuPhl6930.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rEtuPhl6930.m3u8/rEtuPhl6930.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rEtuPhl6930&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25771", "sha": "c6d09bd26549b9d8e73f95b645f807a7270450b4", "translated_description": "2 more exponent rules with an introduction to composite problems", "image_url": "https://img.youtube.com/vi/rEtuPhl6930/hqdefault.jpg", "youtube_id": "rEtuPhl6930", "content_kind": "Video", "readable_id": "exponent-rules-part-2"}, {"translated_youtube_id": "-TpiL4J_yUA", "relative_url": "/video/exponent-properties-1", "has_questions": false, "keywords": "u11_l1_t2_we1, Exponent, Properties", "ka_url": "http://www.khanacademy.org/video/exponent-properties-1", "duration": 156, "translated_title": "Exponent properties 1", "translated_description_html": "When multiplying numbers with common base, add exponents", "id": "13179500", "description_html": "When multiplying numbers with common base, add exponents", "title": "Exponent properties 1", "progress_key": "v13179500", "edit_slug": "edit/v/13179500", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "When multiplying numbers with common base, add exponents", "extra_properties": null, "node_slug": "v/exponent-properties-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-TpiL4J_yUA.mp4/-TpiL4J_yUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-TpiL4J_yUA.mp4/-TpiL4J_yUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-TpiL4J_yUA.m3u8/-TpiL4J_yUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-TpiL4J_yUA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179500", "sha": "1c4ae37de038927694dee35eeb2e1fe1fb907e35", "translated_description": "When multiplying numbers with common base, add exponents", "image_url": "https://img.youtube.com/vi/-TpiL4J_yUA/hqdefault.jpg", "youtube_id": "-TpiL4J_yUA", "content_kind": "Video", "readable_id": "exponent-properties-1"}, {"translated_youtube_id": "tvj42WdKlH4", "relative_url": "/video/exponent-properties-2", "has_questions": false, "keywords": "u11_l1_t2_we2, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-2", "duration": 312, "translated_title": "Exponent properties 2", "translated_description_html": "Exponent Properties 2", "id": "13179501", "description_html": "Exponent Properties 2", "title": "Exponent properties 2", "progress_key": "v13179501", "edit_slug": "edit/v/13179501", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 2", "extra_properties": null, "node_slug": "v/exponent-properties-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvj42WdKlH4.mp4/tvj42WdKlH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvj42WdKlH4.mp4/tvj42WdKlH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvj42WdKlH4.m3u8/tvj42WdKlH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvj42WdKlH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179501", "sha": "3f3b83db2f75e7fab25ea7f840cbd1e430037689", "translated_description": "Exponent Properties 2", "image_url": "https://img.youtube.com/vi/tvj42WdKlH4/hqdefault.jpg", "youtube_id": "tvj42WdKlH4", "content_kind": "Video", "readable_id": "exponent-properties-2"}, {"translated_youtube_id": "Of8ezQj1hRk", "relative_url": "/video/exponent-properties-3", "has_questions": false, "keywords": "u11_l1_t2_we3, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-3", "duration": 155, "translated_title": "Exponent properties 3", "translated_description_html": "Exponent Properties 3", "id": "13179502", "description_html": "Exponent Properties 3", "title": "Exponent properties 3", "progress_key": "v13179502", "edit_slug": "edit/v/13179502", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 3", "extra_properties": null, "node_slug": "v/exponent-properties-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Of8ezQj1hRk.mp4/Of8ezQj1hRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Of8ezQj1hRk.mp4/Of8ezQj1hRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Of8ezQj1hRk.m3u8/Of8ezQj1hRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Of8ezQj1hRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179502", "sha": "1d6fae2fe221c791c94a4bf446a94b02625b6fec", "translated_description": "Exponent Properties 3", "image_url": "https://img.youtube.com/vi/Of8ezQj1hRk/hqdefault.jpg", "youtube_id": "Of8ezQj1hRk", "content_kind": "Video", "readable_id": "exponent-properties-3"}, {"translated_youtube_id": "X6zD3SoN3iY", "relative_url": "/video/exponent-properties-4", "has_questions": false, "keywords": "u11_l1_t2_we4, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-4", "duration": 187, "translated_title": "Exponent properties 4", "translated_description_html": "Exponent Properties 4", "id": "13179503", "description_html": "Exponent Properties 4", "title": "Exponent properties 4", "progress_key": "v13179503", "edit_slug": "edit/v/13179503", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 4", "extra_properties": null, "node_slug": "v/exponent-properties-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X6zD3SoN3iY.mp4/X6zD3SoN3iY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X6zD3SoN3iY.mp4/X6zD3SoN3iY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X6zD3SoN3iY.m3u8/X6zD3SoN3iY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X6zD3SoN3iY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179503", "sha": "da7054d8cc5008063366b31863f91655b86abc27", "translated_description": "Exponent Properties 4", "image_url": "https://img.youtube.com/vi/X6zD3SoN3iY/hqdefault.jpg", "youtube_id": "X6zD3SoN3iY", "content_kind": "Video", "readable_id": "exponent-properties-4"}, {"translated_youtube_id": "4jhG7g5qgO0", "relative_url": "/video/exponent-properties-5", "has_questions": false, "keywords": "u11_l1_t3_we1, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-5", "duration": 170, "translated_title": "Exponent properties 5", "translated_description_html": "Exponent Properties 5", "id": "13179504", "description_html": "Exponent Properties 5", "title": "Exponent properties 5", "progress_key": "v13179504", "edit_slug": "edit/v/13179504", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 5", "extra_properties": null, "node_slug": "v/exponent-properties-5", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4jhG7g5qgO0.mp4/4jhG7g5qgO0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4jhG7g5qgO0.mp4/4jhG7g5qgO0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4jhG7g5qgO0.m3u8/4jhG7g5qgO0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4jhG7g5qgO0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179504", "sha": "ca6c4267c0854dbb80f9cd6a976092374574c90d", "translated_description": "Exponent Properties 5", "image_url": "https://img.youtube.com/vi/4jhG7g5qgO0/hqdefault.jpg", "youtube_id": "4jhG7g5qgO0", "content_kind": "Video", "readable_id": "exponent-properties-5"}, {"translated_youtube_id": "BwmTemng9lc", "relative_url": "/video/exponent-properties-6", "has_questions": false, "keywords": "u11_l1_t3_we2, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-6", "duration": 259, "translated_title": "Exponent properties 6", "translated_description_html": "Exponent Properties 6", "id": "13179505", "description_html": "Exponent Properties 6", "title": "Exponent properties 6", "progress_key": "v13179505", "edit_slug": "edit/v/13179505", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 6", "extra_properties": null, "node_slug": "v/exponent-properties-6", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BwmTemng9lc.mp4/BwmTemng9lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BwmTemng9lc.mp4/BwmTemng9lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BwmTemng9lc.m3u8/BwmTemng9lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BwmTemng9lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179505", "sha": "39b7a33857cb85ce636bb5d4da2813b191c08638", "translated_description": "Exponent Properties 6", "image_url": "https://img.youtube.com/vi/BwmTemng9lc/hqdefault.jpg", "youtube_id": "BwmTemng9lc", "content_kind": "Video", "readable_id": "exponent-properties-6"}, {"translated_youtube_id": "IF-8VOiEOes", "relative_url": "/video/exponent-properties-7", "has_questions": false, "keywords": "u11_l1_t3_we3, Exponent, Properties, CC_6_EE_1, CC_6_EE_2_c, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/exponent-properties-7", "duration": 291, "translated_title": "Exponent properties 7", "translated_description_html": "Exponent Properties 7", "id": "13179506", "description_html": "Exponent Properties 7", "title": "Exponent properties 7", "progress_key": "v13179506", "edit_slug": "edit/v/13179506", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exponent Properties 7", "extra_properties": null, "node_slug": "v/exponent-properties-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:40:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IF-8VOiEOes.mp4/IF-8VOiEOes.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IF-8VOiEOes.mp4/IF-8VOiEOes.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IF-8VOiEOes.m3u8/IF-8VOiEOes.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IF-8VOiEOes&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179506", "sha": "69c3cbfeccce6f95cf5f3d49513b254c30aaf97c", "translated_description": "Exponent Properties 7", "image_url": "https://img.youtube.com/vi/IF-8VOiEOes/hqdefault.jpg", "youtube_id": "IF-8VOiEOes", "content_kind": "Video", "readable_id": "exponent-properties-7"}, {"translated_youtube_id": "uggD8mwglyc", "relative_url": "/video/simplifying-square-roots", "has_questions": false, "keywords": "u16, l1, t2, we1, Simplifying, Square, Roots", "ka_url": "http://www.khanacademy.org/video/simplifying-square-roots", "duration": 336, "translated_title": "Simplifying square roots", "translated_description_html": "Simplifying Square Roots", "id": "125518446", "description_html": "Simplifying Square Roots", "title": "Simplifying square roots", "progress_key": "v125518446", "edit_slug": "edit/v/125518446", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simplifying Square Roots", "extra_properties": null, "node_slug": "v/simplifying-square-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-22T23:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uggD8mwglyc.mp4/uggD8mwglyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uggD8mwglyc.mp4/uggD8mwglyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uggD8mwglyc.m3u8/uggD8mwglyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uggD8mwglyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v125518446", "sha": "b6ba25069b364c58b61a89b75dc0a80070db634d", "translated_description": "Simplifying Square Roots", "image_url": "https://img.youtube.com/vi/uggD8mwglyc/hqdefault.jpg", "youtube_id": "uggD8mwglyc", "content_kind": "Video", "readable_id": "simplifying-square-roots"}, {"translated_youtube_id": "qFFhdLlX220", "relative_url": "/video/simplifying-square-roots-comment-response", "has_questions": false, "keywords": "algebra, worked, examples", "ka_url": "http://www.khanacademy.org/video/simplifying-square-roots-comment-response", "duration": 256, "translated_title": "Simplifying square roots comment response", "translated_description_html": "Thinking about the domain of the expression to determine if we need the absolute value sign", "id": "126711576", "description_html": "Thinking about the domain of the expression to determine if we need the absolute value sign", "title": "Simplifying square roots comment response", "progress_key": "v126711576", "edit_slug": "edit/v/126711576", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the domain of the expression to determine if we need the absolute value sign", "extra_properties": null, "node_slug": "v/simplifying-square-roots-comment-response", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qFFhdLlX220.mp4/qFFhdLlX220.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qFFhdLlX220.mp4/qFFhdLlX220.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qFFhdLlX220.m3u8/qFFhdLlX220.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qFFhdLlX220&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711576", "sha": "b797525e9bec78c5ac2115a7b88e6ab78e75f3d9", "translated_description": "Thinking about the domain of the expression to determine if we need the absolute value sign", "image_url": "https://img.youtube.com/vi/qFFhdLlX220/hqdefault.jpg", "youtube_id": "qFFhdLlX220", "content_kind": "Video", "readable_id": "simplifying-square-roots-comment-response"}, {"translated_youtube_id": "jO4wOQQiVZg", "relative_url": "/video/radical-equivalent-to-rational-exponents", "has_questions": false, "keywords": "u16_l1_t3_we1, Radical, Equivalent, to, Rational, Exponents", "ka_url": "http://www.khanacademy.org/video/radical-equivalent-to-rational-exponents", "duration": 177, "translated_title": "Radical equivalent to rational exponents", "translated_description_html": "Radical Equivalent to Rational Exponents", "id": "126711580", "description_html": "Radical Equivalent to Rational Exponents", "title": "Radical equivalent to rational exponents", "progress_key": "v126711580", "edit_slug": "edit/v/126711580", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Radical Equivalent to Rational Exponents", "extra_properties": null, "node_slug": "v/radical-equivalent-to-rational-exponents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jO4wOQQiVZg.mp4/jO4wOQQiVZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jO4wOQQiVZg.mp4/jO4wOQQiVZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jO4wOQQiVZg.m3u8/jO4wOQQiVZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jO4wOQQiVZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711580", "sha": "17137e1fc4f777f7ece873980378fff0b66e1c4c", "translated_description": "Radical Equivalent to Rational Exponents", "image_url": "https://img.youtube.com/vi/jO4wOQQiVZg/hqdefault.jpg", "youtube_id": "jO4wOQQiVZg", "content_kind": "Video", "readable_id": "radical-equivalent-to-rational-exponents"}, {"translated_youtube_id": "zlRKO21qEpQ", "relative_url": "/video/radical-equivalent-to-rational-exponents-2", "has_questions": false, "keywords": "u16_l1_t3_we2, Radical, Equivalent, to, Rational, Exponents", "ka_url": "http://www.khanacademy.org/video/radical-equivalent-to-rational-exponents-2", "duration": 144, "translated_title": "Radical equivalent to rational exponents 2", "translated_description_html": "Radical Equivalent to Rational Exponents 2", "id": "126711575", "description_html": "Radical Equivalent to Rational Exponents 2", "title": "Radical equivalent to rational exponents 2", "progress_key": "v126711575", "edit_slug": "edit/v/126711575", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Radical Equivalent to Rational Exponents 2", "extra_properties": null, "node_slug": "v/radical-equivalent-to-rational-exponents-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zlRKO21qEpQ.mp4/zlRKO21qEpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zlRKO21qEpQ.mp4/zlRKO21qEpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zlRKO21qEpQ.m3u8/zlRKO21qEpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zlRKO21qEpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711575", "sha": "7099e56e89f972b479f1128a9cd19ee395053d95", "translated_description": "Radical Equivalent to Rational Exponents 2", "image_url": "https://img.youtube.com/vi/zlRKO21qEpQ/hqdefault.jpg", "youtube_id": "zlRKO21qEpQ", "content_kind": "Video", "readable_id": "radical-equivalent-to-rational-exponents-2"}, {"translated_youtube_id": "iX7ivCww2ws", "relative_url": "/video/radical-expressions-with-higher-roots", "has_questions": false, "keywords": "Radical, Expressions, with, Higher, Roots", "ka_url": "http://www.khanacademy.org/video/radical-expressions-with-higher-roots", "duration": 526, "translated_title": "Radical expressions with higher roots", "translated_description_html": "Radical Expressions with Higher Roots", "id": "23742", "description_html": "Radical Expressions with Higher Roots", "title": "Radical expressions with higher roots", "progress_key": "v23742", "edit_slug": "edit/v/23742", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Radical Expressions with Higher Roots", "extra_properties": null, "node_slug": "v/radical-expressions-with-higher-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iX7ivCww2ws.mp4/iX7ivCww2ws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iX7ivCww2ws.mp4/iX7ivCww2ws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iX7ivCww2ws.m3u8/iX7ivCww2ws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iX7ivCww2ws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23742", "sha": "dbc85128f2650db1c5ff14d751838db298f442a1", "translated_description": "Radical Expressions with Higher Roots", "image_url": "https://img.youtube.com/vi/iX7ivCww2ws/hqdefault.jpg", "youtube_id": "iX7ivCww2ws", "content_kind": "Video", "readable_id": "radical-expressions-with-higher-roots"}, {"translated_youtube_id": "egNq4tSfi1I", "relative_url": "/video/adding-and-simplifying-radicals", "has_questions": false, "keywords": "u16_l2_t2_we1, Adding, and, Simplifying, Radicals", "ka_url": "http://www.khanacademy.org/video/adding-and-simplifying-radicals", "duration": 281, "translated_title": "Adding and simplifying radicals", "translated_description_html": "Adding and Simplifying Radicals", "id": "127771046", "description_html": "Adding and Simplifying Radicals", "title": "Adding and simplifying radicals", "progress_key": "v127771046", "edit_slug": "edit/v/127771046", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and Simplifying Radicals", "extra_properties": null, "node_slug": "v/adding-and-simplifying-radicals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/egNq4tSfi1I.mp4/egNq4tSfi1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/egNq4tSfi1I.mp4/egNq4tSfi1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/egNq4tSfi1I.m3u8/egNq4tSfi1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=egNq4tSfi1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771046", "sha": "4cd0b3645c482c07f5cbd7bd47bc75d5b718da98", "translated_description": "Adding and Simplifying Radicals", "image_url": "https://img.youtube.com/vi/egNq4tSfi1I/hqdefault.jpg", "youtube_id": "egNq4tSfi1I", "content_kind": "Video", "readable_id": "adding-and-simplifying-radicals"}, {"translated_youtube_id": "qH4IQfDD1Nw", "relative_url": "/video/subtracting-and-simplifying-radicals", "has_questions": false, "keywords": "u16_l2_t2_we2, Subtracting, and, Simplifying, Radicals", "ka_url": "http://www.khanacademy.org/video/subtracting-and-simplifying-radicals", "duration": 345, "translated_title": "Subtracting and simplifying radicals", "translated_description_html": "Subtracting and Simplifying Radicals", "id": "127771043", "description_html": "Subtracting and Simplifying Radicals", "title": "Subtracting and simplifying radicals", "progress_key": "v127771043", "edit_slug": "edit/v/127771043", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting and Simplifying Radicals", "extra_properties": null, "node_slug": "v/subtracting-and-simplifying-radicals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qH4IQfDD1Nw.mp4/qH4IQfDD1Nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qH4IQfDD1Nw.mp4/qH4IQfDD1Nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qH4IQfDD1Nw.m3u8/qH4IQfDD1Nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qH4IQfDD1Nw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771043", "sha": "20ff297bb7404ecd142449378a92097b6ddc80e8", "translated_description": "Subtracting and Simplifying Radicals", "image_url": "https://img.youtube.com/vi/qH4IQfDD1Nw/hqdefault.jpg", "youtube_id": "qH4IQfDD1Nw", "content_kind": "Video", "readable_id": "subtracting-and-simplifying-radicals"}, {"translated_youtube_id": "GEeKOeGHddY", "relative_url": "/video/multiply-and-simplify-a-radical-expression-1", "has_questions": false, "keywords": "u16_l2_t1_we1, Multiply, and, Simply, Radical, Expression", "ka_url": "http://www.khanacademy.org/video/multiply-and-simplify-a-radical-expression-1", "duration": 265, "translated_title": "Multiply and simplify a radical expression 1", "translated_description_html": "Multiply and Simply a Radical Expression", "id": "127771044", "description_html": "Multiply and Simply a Radical Expression", "title": "Multiply and simplify a radical expression 1", "progress_key": "v127771044", "edit_slug": "edit/v/127771044", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiply and Simply a Radical Expression", "extra_properties": null, "node_slug": "v/multiply-and-simplify-a-radical-expression-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GEeKOeGHddY.mp4/GEeKOeGHddY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GEeKOeGHddY.mp4/GEeKOeGHddY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GEeKOeGHddY.m3u8/GEeKOeGHddY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GEeKOeGHddY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771044", "sha": "5a539b080866bf84b9fb9d8b031f18fc49e255ca", "translated_description": "Multiply and Simply a Radical Expression", "image_url": "https://img.youtube.com/vi/GEeKOeGHddY/hqdefault.jpg", "youtube_id": "GEeKOeGHddY", "content_kind": "Video", "readable_id": "multiply-and-simplify-a-radical-expression-1"}, {"translated_youtube_id": "sBvRJUwXJPo", "relative_url": "/video/multiply-and-simplify-a-radical-expression-2", "has_questions": false, "keywords": "u16_l2_t1_we2, Multiply, and, Simply, Radical, Expression", "ka_url": "http://www.khanacademy.org/video/multiply-and-simplify-a-radical-expression-2", "duration": 187, "translated_title": "Multiply and simplify a radical expression 2", "translated_description_html": "Multiply and Simply a Radical Expression", "id": "127771042", "description_html": "Multiply and Simply a Radical Expression", "title": "Multiply and simplify a radical expression 2", "progress_key": "v127771042", "edit_slug": "edit/v/127771042", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiply and Simply a Radical Expression", "extra_properties": null, "node_slug": "v/multiply-and-simplify-a-radical-expression-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sBvRJUwXJPo.mp4/sBvRJUwXJPo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sBvRJUwXJPo.mp4/sBvRJUwXJPo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sBvRJUwXJPo.m3u8/sBvRJUwXJPo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sBvRJUwXJPo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771042", "sha": "f7c66adabaaeae178febb23461afbba062a7b653", "translated_description": "Multiply and Simply a Radical Expression", "image_url": "https://img.youtube.com/vi/sBvRJUwXJPo/hqdefault.jpg", "youtube_id": "sBvRJUwXJPo", "content_kind": "Video", "readable_id": "multiply-and-simplify-a-radical-expression-2"}, {"translated_youtube_id": "NuccqpiUHrk", "relative_url": "/video/rational-exponents-and-exponent-laws", "has_questions": false, "keywords": "u16_l1_t3_we3, Rational, Exponents, and, Exponent, Laws", "ka_url": "http://www.khanacademy.org/video/rational-exponents-and-exponent-laws", "duration": 136, "translated_title": "Rational exponents and exponent laws", "translated_description_html": "Rational Exponents and Exponent Laws", "id": "126711577", "description_html": "Rational Exponents and Exponent Laws", "title": "Rational exponents and exponent laws", "progress_key": "v126711577", "edit_slug": "edit/v/126711577", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rational Exponents and Exponent Laws", "extra_properties": null, "node_slug": "v/rational-exponents-and-exponent-laws", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NuccqpiUHrk.mp4/NuccqpiUHrk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NuccqpiUHrk.mp4/NuccqpiUHrk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NuccqpiUHrk.m3u8/NuccqpiUHrk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NuccqpiUHrk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711577", "sha": "53da497fd72077812bdc37008e66c4eaa3215d6d", "translated_description": "Rational Exponents and Exponent Laws", "image_url": "https://img.youtube.com/vi/NuccqpiUHrk/hqdefault.jpg", "youtube_id": "NuccqpiUHrk", "content_kind": "Video", "readable_id": "rational-exponents-and-exponent-laws"}, {"translated_youtube_id": "c-wtvEdEoVs", "relative_url": "/video/simplifying-cube-roots", "has_questions": false, "keywords": "u16_l1_t2_we3, Simplifying, Cube, Roots", "ka_url": "http://www.khanacademy.org/video/simplifying-cube-roots", "duration": 325, "translated_title": "Simplifying cube roots", "translated_description_html": "Simplifying Cube Roots", "id": "126711579", "description_html": "Simplifying Cube Roots", "title": "Simplifying cube roots", "progress_key": "v126711579", "edit_slug": "edit/v/126711579", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Cube Roots", "extra_properties": null, "node_slug": "v/simplifying-cube-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c-wtvEdEoVs.mp4/c-wtvEdEoVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c-wtvEdEoVs.mp4/c-wtvEdEoVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c-wtvEdEoVs.m3u8/c-wtvEdEoVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c-wtvEdEoVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711579", "sha": "99670817571de29b5cafedba5af721fa7509f492", "translated_description": "Simplifying Cube Roots", "image_url": "https://img.youtube.com/vi/c-wtvEdEoVs/hqdefault.jpg", "youtube_id": "c-wtvEdEoVs", "content_kind": "Video", "readable_id": "simplifying-cube-roots"}, {"translated_youtube_id": "rco7DMcy-oE", "relative_url": "/video/more-rational-exponents-and-exponent-laws", "has_questions": false, "keywords": "u16_l1_t3_we4, More, Rational, Exponents, and, Exponent, Laws", "ka_url": "http://www.khanacademy.org/video/more-rational-exponents-and-exponent-laws", "duration": 205, "translated_title": "More rational exponents and exponent laws", "translated_description_html": "More Rational Exponents and Exponent Laws", "id": "126711574", "description_html": "More Rational Exponents and Exponent Laws", "title": "More rational exponents and exponent laws", "progress_key": "v126711574", "edit_slug": "edit/v/126711574", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More Rational Exponents and Exponent Laws", "extra_properties": null, "node_slug": "v/more-rational-exponents-and-exponent-laws", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-23T23:27:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rco7DMcy-oE.mp4/rco7DMcy-oE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rco7DMcy-oE.mp4/rco7DMcy-oE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rco7DMcy-oE.m3u8/rco7DMcy-oE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rco7DMcy-oE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v126711574", "sha": "ed04b5074490f3c7040e6d2208a62dfc80053fa8", "translated_description": "More Rational Exponents and Exponent Laws", "image_url": "https://img.youtube.com/vi/rco7DMcy-oE/hqdefault.jpg", "youtube_id": "rco7DMcy-oE", "content_kind": "Video", "readable_id": "more-rational-exponents-and-exponent-laws"}, {"translated_youtube_id": "gY5TvlHg4Vk", "relative_url": "/video/how-to-rationalize-a-denominator", "has_questions": false, "keywords": "How, to, Rationalize, Denominator", "ka_url": "http://www.khanacademy.org/video/how-to-rationalize-a-denominator", "duration": 618, "translated_title": "How to rationalize a denominator", "translated_description_html": "How to Rationalize a Denominator", "id": "23746", "description_html": "How to Rationalize a Denominator", "title": "How to rationalize a denominator", "progress_key": "v23746", "edit_slug": "edit/v/23746", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to Rationalize a Denominator", "extra_properties": null, "node_slug": "v/how-to-rationalize-a-denominator", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gY5TvlHg4Vk.mp4/gY5TvlHg4Vk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gY5TvlHg4Vk.mp4/gY5TvlHg4Vk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gY5TvlHg4Vk.m3u8/gY5TvlHg4Vk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gY5TvlHg4Vk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23746", "sha": "718191d180b6572d4785b28929b1a982fe5524c2", "translated_description": "How to Rationalize a Denominator", "image_url": "https://img.youtube.com/vi/gY5TvlHg4Vk/hqdefault.jpg", "youtube_id": "gY5TvlHg4Vk", "content_kind": "Video", "readable_id": "how-to-rationalize-a-denominator"}, {"translated_youtube_id": "tdO4UOLW9d8", "relative_url": "/video/simplifying-expressions-with-exponents", "has_questions": false, "keywords": "U07_L1_T3_we1, Simplifying, Expressions, with, Exponents, CC_6_EE_2, CC_8_EE_1, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-expressions-with-exponents", "duration": 130, "translated_title": "Simplifying expressions with exponents", "translated_description_html": "Simplifying Expressions with Exponents", "id": "26899", "description_html": "Simplifying Expressions with Exponents", "title": "Simplifying expressions with exponents", "progress_key": "v26899", "edit_slug": "edit/v/26899", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Expressions with Exponents", "extra_properties": null, "node_slug": "v/simplifying-expressions-with-exponents", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tdO4UOLW9d8.mp4/tdO4UOLW9d8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tdO4UOLW9d8.mp4/tdO4UOLW9d8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tdO4UOLW9d8.m3u8/tdO4UOLW9d8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tdO4UOLW9d8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26899", "sha": "e1f433e66e0ee26b742e41067e8a143eeebd8e12", "translated_description": "Simplifying Expressions with Exponents", "image_url": "https://img.youtube.com/vi/tdO4UOLW9d8/hqdefault.jpg", "youtube_id": "tdO4UOLW9d8", "content_kind": "Video", "readable_id": "simplifying-expressions-with-exponents"}, {"translated_youtube_id": "xnLcxdM8OD8", "relative_url": "/video/simplifying-expressions-with-exponents-2", "has_questions": false, "keywords": "U07_L1_T3_we2, Simplifying, Expressions, with, Exponents, CC_6_EE_2, CC_8_EE_1, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-expressions-with-exponents-2", "duration": 215, "translated_title": "Simplifying expressions with exponents 2", "translated_description_html": "Simplifying Expressions with Exponents 2", "id": "26900", "description_html": "Simplifying Expressions with Exponents 2", "title": "Simplifying expressions with exponents 2", "progress_key": "v26900", "edit_slug": "edit/v/26900", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Expressions with Exponents 2", "extra_properties": null, "node_slug": "v/simplifying-expressions-with-exponents-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xnLcxdM8OD8.mp4/xnLcxdM8OD8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xnLcxdM8OD8.mp4/xnLcxdM8OD8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xnLcxdM8OD8.m3u8/xnLcxdM8OD8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xnLcxdM8OD8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26900", "sha": "3d03f881d9d39af324ca40c249b2c0751682afee", "translated_description": "Simplifying Expressions with Exponents 2", "image_url": "https://img.youtube.com/vi/xnLcxdM8OD8/hqdefault.jpg", "youtube_id": "xnLcxdM8OD8", "content_kind": "Video", "readable_id": "simplifying-expressions-with-exponents-2"}, {"translated_youtube_id": "zwUnRQbWPJU", "relative_url": "/video/simplifying-expressions-with-exponents-3", "has_questions": false, "keywords": "U07_L1_T3_we3, Simplifying, Expressions, with, Exponents, CC_6_EE_2, CC_6_EE_2_c, CC_7_G_6, CC_8_EE_1, CC_8_EE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-expressions-with-exponents-3", "duration": 151, "translated_title": "Simplifying expressions with exponents 3", "translated_description_html": "Simplifying Expressions with Exponents 3", "id": "26901", "description_html": "Simplifying Expressions with Exponents 3", "title": "Simplifying expressions with exponents 3", "progress_key": "v26901", "edit_slug": "edit/v/26901", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Expressions with Exponents 3", "extra_properties": null, "node_slug": "v/simplifying-expressions-with-exponents-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zwUnRQbWPJU.mp4/zwUnRQbWPJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zwUnRQbWPJU.mp4/zwUnRQbWPJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zwUnRQbWPJU.m3u8/zwUnRQbWPJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zwUnRQbWPJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26901", "sha": "3ba5861b0b5b3d608e7f67389f2e5c8972bb4b2d", "translated_description": "Simplifying Expressions with Exponents 3", "image_url": "https://img.youtube.com/vi/zwUnRQbWPJU/hqdefault.jpg", "youtube_id": "zwUnRQbWPJU", "content_kind": "Video", "readable_id": "simplifying-expressions-with-exponents-3"}, {"translated_youtube_id": "xjCnmPvcmOo", "relative_url": "/video/fractional-exponent-expressions-1", "has_questions": false, "keywords": "U07_L3_T4_we1, Fractional, Exponent, Expressions, CC_6_EE_2_c, CC_6_EE_3, CC_7_NS_2, CC_7_NS_2_a, CC_7_NS_2_c, CC_7_NS_3, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/fractional-exponent-expressions-1", "duration": 122, "translated_title": "Fractional exponent expressions 1", "translated_description_html": "Fractional Exponent Expressions 1", "id": "26913", "description_html": "Fractional Exponent Expressions 1", "title": "Fractional exponent expressions 1", "progress_key": "v26913", "edit_slug": "edit/v/26913", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fractional Exponent Expressions 1", "extra_properties": null, "node_slug": "v/fractional-exponent-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjCnmPvcmOo.mp4/xjCnmPvcmOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjCnmPvcmOo.mp4/xjCnmPvcmOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xjCnmPvcmOo.m3u8/xjCnmPvcmOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xjCnmPvcmOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26913", "sha": "e5ca7cb909e9c0dc1a16f09b4b4433c94002a1c3", "translated_description": "Fractional Exponent Expressions 1", "image_url": "https://img.youtube.com/vi/xjCnmPvcmOo/hqdefault.jpg", "youtube_id": "xjCnmPvcmOo", "content_kind": "Video", "readable_id": "fractional-exponent-expressions-1"}, {"translated_youtube_id": "4F6cFLnAAFc", "relative_url": "/video/fractional-exponent-expressions-2", "has_questions": false, "keywords": "U07_L3_T4_we2, Fractional, Exponent, Expressions, CC_6_EE_2_c, CC_6_EE_3, CC_7_NS_2, CC_7_NS_2_a, CC_7_NS_2_c, CC_7_NS_3, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/fractional-exponent-expressions-2", "duration": 451, "translated_title": "Fractional exponent expressions 2", "translated_description_html": "Fractional Exponent Expressions 2", "id": "26914", "description_html": "Fractional Exponent Expressions 2", "title": "Fractional exponent expressions 2", "progress_key": "v26914", "edit_slug": "edit/v/26914", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fractional Exponent Expressions 2", "extra_properties": null, "node_slug": "v/fractional-exponent-expressions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4F6cFLnAAFc.mp4/4F6cFLnAAFc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4F6cFLnAAFc.mp4/4F6cFLnAAFc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4F6cFLnAAFc.m3u8/4F6cFLnAAFc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4F6cFLnAAFc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26914", "sha": "28e315676d192ffda97e19ef0b4c02a490401761", "translated_description": "Fractional Exponent Expressions 2", "image_url": "https://img.youtube.com/vi/4F6cFLnAAFc/hqdefault.jpg", "youtube_id": "4F6cFLnAAFc", "content_kind": "Video", "readable_id": "fractional-exponent-expressions-2"}, {"translated_youtube_id": "Ay0B6Kh9Y3Q", "relative_url": "/video/fractional-exponent-expressions-3", "has_questions": false, "keywords": "U07_L3_T4_we3, Fractional, Exponent, Expressions, CC_6_EE_2_c, CC_6_EE_3, CC_7_NS_2, CC_7_NS_2_a, CC_7_NS_2_c, CC_7_NS_3, CC_8_EE_1", "ka_url": "http://www.khanacademy.org/video/fractional-exponent-expressions-3", "duration": 392, "translated_title": "Fractional exponent expressions 3", "translated_description_html": "Fractional Exponent Expressions 3", "id": "8187331", "description_html": "Fractional Exponent Expressions 3", "title": "Fractional exponent expressions 3", "progress_key": "v8187331", "edit_slug": "edit/v/8187331", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fractional Exponent Expressions 3", "extra_properties": null, "node_slug": "v/fractional-exponent-expressions-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ay0B6Kh9Y3Q.mp4/Ay0B6Kh9Y3Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ay0B6Kh9Y3Q.mp4/Ay0B6Kh9Y3Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ay0B6Kh9Y3Q.m3u8/Ay0B6Kh9Y3Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ay0B6Kh9Y3Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187331", "sha": "dce48924bb6fe7fb1226e4245d4284afcdd12750", "translated_description": "Fractional Exponent Expressions 3", "image_url": "https://img.youtube.com/vi/Ay0B6Kh9Y3Q/hqdefault.jpg", "youtube_id": "Ay0B6Kh9Y3Q", "content_kind": "Video", "readable_id": "fractional-exponent-expressions-3"}], "twitter_url": "", "translated_description": "You first learned about exponents in pre-algebra. You're now ready to apply many of those same principles using abstract variables. Welcome to exponents in algebra!\n\nIn this tutorial, you will learn about how to manipulate expressions with exponents in them. We'll give lots of example to make sure you see a lot of scenarios. For optimal learning (and fun), pause the video before Sal does an example.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You first learned about exponents in pre-algebra. You're now ready to apply many of those same principles using abstract variables. Welcome to exponents in algebra!\n\nIn this tutorial, you will learn about how to manipulate expressions with exponents in them. We'll give lots of example to make sure you see a lot of scenarios. For optimal learning (and fun), pause the video before Sal does an example.", "x_pos": 0.0, "node_slug": "exponent-properties-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T01:26:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb20af3b", "topic_page_url": "/math/algebra/exponent-equations/exponent-properties-algebra", "extended_slug": "math/algebra/exponent-equations/exponent-properties-algebra", "slug": "exponent-properties-algebra", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a6ec12f092a592a5c56e586a4041a1dc6e5be72f", "standalone_title": "Exponent properties", "y_pos": 0.0, "current_revision_key": "a6ec12f092a592a5c56e586a4041a1dc6e5be72f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/exponent-equations/radical_equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/exponent-equations/radical_equations", "translated_standalone_title": "Radical equations", "translated_title": "Radical equations", "gplus_url": "", "id": "x2a5fe36e", "old_key_name": "krT7uYkPiX0GzclMj6vMHG4f6t6j-EPYQH221NMg", "hide": false, "title": "Radical equations", "child_data": [{"kind": "Video", "id": 127771048}, {"kind": "Video", "id": 23748}, {"kind": "Video", "id": 26907}, {"kind": "Video", "id": 26908}, {"kind": "Video", "id": 26909}, {"kind": "Video", "id": 26910}, {"kind": "Video", "id": 26911}, {"kind": "Video", "id": 26912}, {"kind": "Exercise", "id": 23890543}], "children": [{"translated_youtube_id": "pFFoAGIEyJc", "relative_url": "/video/solving-radical-equations", "has_questions": false, "keywords": "u16_l3_t1_we1, Solving, Radical, Equations", "ka_url": "http://www.khanacademy.org/video/solving-radical-equations", "duration": 191, "translated_title": "Solving radical equations", "translated_description_html": "Solving Radical Equations", "id": "127771048", "description_html": "Solving Radical Equations", "title": "Solving radical equations", "progress_key": "v127771048", "edit_slug": "edit/v/127771048", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving Radical Equations", "extra_properties": null, "node_slug": "v/solving-radical-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pFFoAGIEyJc.mp4/pFFoAGIEyJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pFFoAGIEyJc.mp4/pFFoAGIEyJc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pFFoAGIEyJc.m3u8/pFFoAGIEyJc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pFFoAGIEyJc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771048", "sha": "1de45cce937871d106c04f92f0cfb08d59778c35", "translated_description": "Solving Radical Equations", "image_url": "https://img.youtube.com/vi/pFFoAGIEyJc/hqdefault.jpg", "youtube_id": "pFFoAGIEyJc", "content_kind": "Video", "readable_id": "solving-radical-equations"}, {"translated_youtube_id": "711pdW8TbbY", "relative_url": "/video/extraneous-solutions-to-radical-equations", "has_questions": false, "keywords": "Extraneous, Solutions, to, Radical, Equations, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/extraneous-solutions-to-radical-equations", "duration": 670, "translated_title": "Extraneous solutions to radical equations", "translated_description_html": "Extraneous Solutions to Radical Equations", "id": "23748", "description_html": "Extraneous Solutions to Radical Equations", "title": "Extraneous solutions to radical equations", "progress_key": "v23748", "edit_slug": "edit/v/23748", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Extraneous Solutions to Radical Equations", "extra_properties": null, "node_slug": "v/extraneous-solutions-to-radical-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/711pdW8TbbY.mp4/711pdW8TbbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/711pdW8TbbY.mp4/711pdW8TbbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/711pdW8TbbY.m3u8/711pdW8TbbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=711pdW8TbbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23748", "sha": "f35d9a361c673cae7d4488beecc3ce7395ce851f", "translated_description": "Extraneous Solutions to Radical Equations", "image_url": "https://img.youtube.com/vi/711pdW8TbbY/hqdefault.jpg", "youtube_id": "711pdW8TbbY", "content_kind": "Video", "readable_id": "extraneous-solutions-to-radical-equations"}, {"translated_youtube_id": "y4C81qAa3pY", "relative_url": "/video/solving-radical-equations-1", "has_questions": false, "keywords": "U07_L3_T2_we1, Solving, Radical, Equations, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-radical-equations-1", "duration": 135, "translated_title": "Solving radical equations 1", "translated_description_html": "Solving Radical Equations 1", "id": "26907", "description_html": "Solving Radical Equations 1", "title": "Solving radical equations 1", "progress_key": "v26907", "edit_slug": "edit/v/26907", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Radical Equations 1", "extra_properties": null, "node_slug": "v/solving-radical-equations-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y4C81qAa3pY.mp4/y4C81qAa3pY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y4C81qAa3pY.mp4/y4C81qAa3pY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y4C81qAa3pY.m3u8/y4C81qAa3pY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y4C81qAa3pY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26907", "sha": "a0a178dfbd0ea9b373916cce4bc2d5fd32824eaa", "translated_description": "Solving Radical Equations 1", "image_url": "https://img.youtube.com/vi/y4C81qAa3pY/hqdefault.jpg", "youtube_id": "y4C81qAa3pY", "content_kind": "Video", "readable_id": "solving-radical-equations-1"}, {"translated_youtube_id": "b6WtwQddAcY", "relative_url": "/video/solving-radical-equations-2", "has_questions": false, "keywords": "U07_L3_T2_we2, Solving, Radical, Equations, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-radical-equations-2", "duration": 214, "translated_title": "Solving radical equations 2", "translated_description_html": "Solving Radical Equations 2", "id": "26908", "description_html": "Solving Radical Equations 2", "title": "Solving radical equations 2", "progress_key": "v26908", "edit_slug": "edit/v/26908", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Radical Equations 2", "extra_properties": null, "node_slug": "v/solving-radical-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b6WtwQddAcY.mp4/b6WtwQddAcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b6WtwQddAcY.mp4/b6WtwQddAcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b6WtwQddAcY.m3u8/b6WtwQddAcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b6WtwQddAcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26908", "sha": "3e8360320a0a20de1fff27c6155c731ad6438deb", "translated_description": "Solving Radical Equations 2", "image_url": "https://img.youtube.com/vi/b6WtwQddAcY/hqdefault.jpg", "youtube_id": "b6WtwQddAcY", "content_kind": "Video", "readable_id": "solving-radical-equations-2"}, {"translated_youtube_id": "g6nGcnVB8BM", "relative_url": "/video/solving-radical-equations-3", "has_questions": false, "keywords": "U07_L3_T2_we3, Solving, Radical, Equations, CC_8_EE_2, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-radical-equations-3", "duration": 262, "translated_title": "Solving radical equations 3", "translated_description_html": "Solving Radical Equations 3", "id": "26909", "description_html": "Solving Radical Equations 3", "title": "Solving radical equations 3", "progress_key": "v26909", "edit_slug": "edit/v/26909", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Radical Equations 3", "extra_properties": null, "node_slug": "v/solving-radical-equations-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g6nGcnVB8BM.mp4/g6nGcnVB8BM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g6nGcnVB8BM.mp4/g6nGcnVB8BM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g6nGcnVB8BM.m3u8/g6nGcnVB8BM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g6nGcnVB8BM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26909", "sha": "5114f035c1ebdb0637dd7848eb097c2e120fe608", "translated_description": "Solving Radical Equations 3", "image_url": "https://img.youtube.com/vi/g6nGcnVB8BM/hqdefault.jpg", "youtube_id": "g6nGcnVB8BM", "content_kind": "Video", "readable_id": "solving-radical-equations-3"}, {"translated_youtube_id": "U3JxFFdKCKM", "relative_url": "/video/applying-radical-equations-1", "has_questions": false, "keywords": "U07_L3_T3_we1, Applying, Radical, Equations, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/applying-radical-equations-1", "duration": 324, "translated_title": "Applying radical equations 1", "translated_description_html": "Applying Radical Equations 1", "id": "26910", "description_html": "Applying Radical Equations 1", "title": "Applying radical equations 1", "progress_key": "v26910", "edit_slug": "edit/v/26910", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Radical Equations 1", "extra_properties": null, "node_slug": "v/applying-radical-equations-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U3JxFFdKCKM.mp4/U3JxFFdKCKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U3JxFFdKCKM.mp4/U3JxFFdKCKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U3JxFFdKCKM.m3u8/U3JxFFdKCKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U3JxFFdKCKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26910", "sha": "92054b67ef4f7098698ea904f75da2e45725b77f", "translated_description": "Applying Radical Equations 1", "image_url": "https://img.youtube.com/vi/U3JxFFdKCKM/hqdefault.jpg", "youtube_id": "U3JxFFdKCKM", "content_kind": "Video", "readable_id": "applying-radical-equations-1"}, {"translated_youtube_id": "YghRP8S2K-4", "relative_url": "/video/applying-radical-equations-2", "has_questions": false, "keywords": "U07_L3_T3_we2, Applying, Radical, Equations, CC_6_EE_2_c, CC_6_G_4, CC_8_EE_2, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/applying-radical-equations-2", "duration": 415, "translated_title": "Applying radical equations 2", "translated_description_html": "Applying Radical Equations 2", "id": "26911", "description_html": "Applying Radical Equations 2", "title": "Applying radical equations 2", "progress_key": "v26911", "edit_slug": "edit/v/26911", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Radical Equations 2", "extra_properties": null, "node_slug": "v/applying-radical-equations-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YghRP8S2K-4.mp4/YghRP8S2K-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YghRP8S2K-4.mp4/YghRP8S2K-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YghRP8S2K-4.m3u8/YghRP8S2K-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YghRP8S2K-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26911", "sha": "57fc2ff4f2e36bbdd941dee4d6a8d7847998be38", "translated_description": "Applying Radical Equations 2", "image_url": "https://img.youtube.com/vi/YghRP8S2K-4/hqdefault.jpg", "youtube_id": "YghRP8S2K-4", "content_kind": "Video", "readable_id": "applying-radical-equations-2"}, {"translated_youtube_id": "npUtXLjTnxg", "relative_url": "/video/applying-radical-equations-3", "has_questions": false, "keywords": "U07_L3_T3_we3, Applying, Radical, Equations, CC_7_G_3, CC_8_G_9, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/applying-radical-equations-3", "duration": 199, "translated_title": "Applying radical equations 3", "translated_description_html": "Applying Radical Equations 3", "id": "26912", "description_html": "Applying Radical Equations 3", "title": "Applying radical equations 3", "progress_key": "v26912", "edit_slug": "edit/v/26912", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Radical Equations 3", "extra_properties": null, "node_slug": "v/applying-radical-equations-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/npUtXLjTnxg.mp4/npUtXLjTnxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/npUtXLjTnxg.mp4/npUtXLjTnxg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/npUtXLjTnxg.m3u8/npUtXLjTnxg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=npUtXLjTnxg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26912", "sha": "38d54e3c601451eded7978ab9d166a72cf8d1260", "translated_description": "Applying Radical Equations 3", "image_url": "https://img.youtube.com/vi/npUtXLjTnxg/hqdefault.jpg", "youtube_id": "npUtXLjTnxg", "content_kind": "Video", "readable_id": "applying-radical-equations-3"}], "twitter_url": "", "translated_description": "You're enjoying algebra and equations, but you miss radicals. Wouldn't it be unbelievably awesome if you could solve equations with radicals in them. Well, your dreams can come true.\n\nIn this tutorial, we work through a bunch of examples to help you understand how to solve radical equations. As always, pause the videos and try to solve the example before Sal does.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're enjoying algebra and equations, but you miss radicals. Wouldn't it be unbelievably awesome if you could solve equations with radicals in them. Well, your dreams can come true.\n\nIn this tutorial, we work through a bunch of examples to help you understand how to solve radical equations. As always, pause the videos and try to solve the example before Sal does.", "x_pos": 0.0, "node_slug": "radical_equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2a5fe36e", "topic_page_url": "/math/algebra/exponent-equations/radical_equations", "extended_slug": "math/algebra/exponent-equations/radical_equations", "slug": "radical_equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b2eb13c18a7712a60423bd66308eab1dd1ecb8d3", "standalone_title": "Radical equations", "y_pos": 0.0, "current_revision_key": "b2eb13c18a7712a60423bd66308eab1dd1ecb8d3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Solving exponential and radical expressions and equations. Using scientific notation and significant figures.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Solving exponential and radical expressions and equations. Using scientific notation and significant figures.", "x_pos": 4.0, "node_slug": "exponent-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax929e00f1", "topic_page_url": "/math/algebra/exponent-equations", "extended_slug": "math/algebra/exponent-equations", "slug": "exponent-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6209995f7ea597c015edae940a231b4db27d9c54", "standalone_title": "Exponent expressions and equations", "y_pos": 21.0, "current_revision_key": "6209995f7ea597c015edae940a231b4db27d9c54", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/algebra-functions-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions", "translated_standalone_title": "Functions", "translated_title": "Functions", "gplus_url": "", "id": "xe8002e2d", "old_key_name": "K5CAA_lSb0gdqtmMngO1hGkaLRdDAWa4JaXblBhJ", "hide": false, "title": "Functions", "child_data": [{"kind": "Topic", "id": "x7f3b9e9d"}, {"kind": "Topic", "id": "xd7aaee0f"}, {"kind": "Topic", "id": "x53bcca90"}, {"kind": "Topic", "id": "xbecf19f3"}, {"kind": "Topic", "id": "x5dc76211"}, {"kind": "Topic", "id": "xbfd40ad1"}, {"kind": "Topic", "id": "x1d295b54"}, {"kind": "Topic", "id": "x5bc6a739"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/relationships_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/relationships_functions", "translated_standalone_title": "Function introduction", "translated_title": "Function introduction", "gplus_url": "", "id": "x7f3b9e9d", "old_key_name": "w1Kl_aRBIeVnjvx2NMY8UmRt2QoGsh2dEJG4D3hS", "hide": false, "title": "Function introduction", "child_data": [{"kind": "Video", "id": "x2ec1ec8a"}, {"kind": "Video", "id": 1254705646}, {"kind": "Video", "id": 23642}, {"kind": "Video", "id": 26796}, {"kind": "Video", "id": "x1292edd2"}, {"kind": "Video", "id": "xbdf4c75d"}, {"kind": "Video", "id": "x5860a542"}, {"kind": "Exercise", "id": 3030}, {"kind": "Video", "id": 26791}, {"kind": "Video", "id": 357917979}, {"kind": "Video", "id": 23592}, {"kind": "Video", "id": "xe1f24412"}, {"kind": "Video", "id": "x5b15777f"}, {"kind": "Exercise", "id": "xe051d459"}, {"kind": "Video", "id": 357917981}, {"kind": "Video", "id": 26790}, {"kind": "Video", "id": "x9cd7b997"}, {"kind": "Video", "id": "xce131edd"}, {"kind": "Video", "id": "xe4c1673b"}, {"kind": "Exercise", "id": "xe3f06745"}], "children": [{"translated_youtube_id": "kvGsIo1TmsM", "relative_url": "/video/what-is-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-function", "duration": 477, "translated_title": "What is a function", "translated_description_html": "", "id": "x2ec1ec8a", "description_html": "", "title": "What is a function", "progress_key": "vx2ec1ec8a", "edit_slug": "edit/v/x2ec1ec8a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/what-is-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-06T21:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.m3u8/kvGsIo1TmsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kvGsIo1TmsM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2ec1ec8a", "sha": "60df92ae78690f88902f56fa7b30f6058f5ac07b", "translated_description": "", "image_url": "https://img.youtube.com/vi/kvGsIo1TmsM/hqdefault.jpg", "youtube_id": "kvGsIo1TmsM", "content_kind": "Video", "readable_id": "what-is-a-function"}, {"translated_youtube_id": "l3iXON1xEC4", "relative_url": "/video/difference-between-equations-and-functions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/difference-between-equations-and-functions", "duration": 258, "translated_title": "Difference between equations and functions", "translated_description_html": "Jesse Roe and Sal talk about the difference between equations and functions", "id": "1254705646", "description_html": "Jesse Roe and Sal talk about the difference between equations and functions", "title": "Difference between equations and functions", "progress_key": "v1254705646", "edit_slug": "edit/v/1254705646", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Jesse Roe and Sal talk about the difference between equations and functions", "extra_properties": null, "node_slug": "v/difference-between-equations-and-functions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-29T01:39:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.mp4/l3iXON1xEC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.mp4/l3iXON1xEC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l3iXON1xEC4.m3u8/l3iXON1xEC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l3iXON1xEC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254705646", "sha": "17a397cc2cfc7c70fb99d588995946f9b3f01cdc", "translated_description": "Jesse Roe and Sal talk about the difference between equations and functions", "image_url": "https://img.youtube.com/vi/l3iXON1xEC4/hqdefault.jpg", "youtube_id": "l3iXON1xEC4", "content_kind": "Video", "readable_id": "difference-between-equations-and-functions"}, {"translated_youtube_id": "EmTvdKkAUtE", "relative_url": "/video/linear-function-graphs", "has_questions": false, "keywords": "Linear, Function, Graphs, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-function-graphs", "duration": 709, "translated_title": "Function example problems", "translated_description_html": "Linear Function Graphs", "id": "23642", "description_html": "Linear Function Graphs", "title": "Function example problems", "progress_key": "v23642", "edit_slug": "edit/v/23642", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Function Graphs", "extra_properties": null, "node_slug": "v/linear-function-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.m3u8/EmTvdKkAUtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EmTvdKkAUtE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23642", "sha": "e639606f3ed40b051c82e500126a533846314df4", "translated_description": "Linear Function Graphs", "image_url": "https://img.youtube.com/vi/EmTvdKkAUtE/hqdefault.jpg", "youtube_id": "EmTvdKkAUtE", "content_kind": "Video", "readable_id": "linear-function-graphs"}, {"translated_youtube_id": "YB1XuQ1Pc5s", "relative_url": "/video/basic-linear-function", "has_questions": false, "keywords": "U03_L2_T4_we1, Basic, Linear, Function, CC_8_F_3, CC_8_F_4", "ka_url": "http://www.khanacademy.org/video/basic-linear-function", "duration": 162, "translated_title": "Ex: Constructing a function", "translated_description_html": "Basic Linear Function", "id": "26796", "description_html": "Basic Linear Function", "title": "Ex: Constructing a function", "progress_key": "v26796", "edit_slug": "edit/v/26796", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic Linear Function", "extra_properties": null, "node_slug": "v/basic-linear-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.mp4/YB1XuQ1Pc5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.mp4/YB1XuQ1Pc5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.m3u8/YB1XuQ1Pc5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YB1XuQ1Pc5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26796", "sha": "2251cb298fdb751f70a1d4d04336aeab94f0cc6d", "translated_description": "Basic Linear Function", "image_url": "https://img.youtube.com/vi/YB1XuQ1Pc5s/hqdefault.jpg", "youtube_id": "YB1XuQ1Pc5s", "content_kind": "Video", "readable_id": "basic-linear-function"}, {"translated_youtube_id": "Id6UovYjd-M", "relative_url": "/video/understanding-function-notation-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-1", "duration": 59, "translated_title": "Understanding function notation (example 1)", "translated_description_html": "", "id": "x1292edd2", "description_html": "", "title": "Understanding function notation (example 1)", "progress_key": "vx1292edd2", "edit_slug": "edit/v/x1292edd2", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.mp4/Id6UovYjd-M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.mp4/Id6UovYjd-M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Id6UovYjd-M.m3u8/Id6UovYjd-M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Id6UovYjd-M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1292edd2", "sha": "e07517b2b28981767286b8c412db8b53a3f03e37", "translated_description": "", "image_url": "https://img.youtube.com/vi/Id6UovYjd-M/hqdefault.jpg", "youtube_id": "Id6UovYjd-M", "content_kind": "Video", "readable_id": "understanding-function-notation-example-1"}, {"translated_youtube_id": "kzYtx_AqzjM", "relative_url": "/video/understanding-function-notation-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-2", "duration": 44, "translated_title": "Understanding function notation (example 2)", "translated_description_html": "", "id": "xbdf4c75d", "description_html": "", "title": "Understanding function notation (example 2)", "progress_key": "vxbdf4c75d", "edit_slug": "edit/v/xbdf4c75d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.mp4/kzYtx_AqzjM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.mp4/kzYtx_AqzjM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kzYtx_AqzjM.m3u8/kzYtx_AqzjM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kzYtx_AqzjM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbdf4c75d", "sha": "7e5512dea020f83bc5bf77ce524e6b9e7ccd6615", "translated_description": "", "image_url": "https://img.youtube.com/vi/kzYtx_AqzjM/hqdefault.jpg", "youtube_id": "kzYtx_AqzjM", "content_kind": "Video", "readable_id": "understanding-function-notation-example-2"}, {"translated_youtube_id": "IXRMVcoqRRQ", "relative_url": "/video/understanding-function-notation-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-example-3", "duration": 133, "translated_title": "Understanding function notation (example 3)", "translated_description_html": "", "id": "x5860a542", "description_html": "", "title": "Understanding function notation (example 3)", "progress_key": "vx5860a542", "edit_slug": "edit/v/x5860a542", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/understanding-function-notation-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.mp4/IXRMVcoqRRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.mp4/IXRMVcoqRRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IXRMVcoqRRQ.m3u8/IXRMVcoqRRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IXRMVcoqRRQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5860a542", "sha": "e59bd0a6228ee9441bba22d42a6f198885851b48", "translated_description": "", "image_url": "https://img.youtube.com/vi/IXRMVcoqRRQ/hqdefault.jpg", "youtube_id": "IXRMVcoqRRQ", "content_kind": "Video", "readable_id": "understanding-function-notation-example-3"}, {"translated_youtube_id": "3SO1BQQ9_1E", "relative_url": "/video/testing-if-a-relationship-is-a-function", "has_questions": false, "keywords": "U03_L2_T1_we2, Testing, if, relationship, is, function, CC_8_F_1, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/testing-if-a-relationship-is-a-function", "duration": 143, "translated_title": "Testing if a relationship is a function", "translated_description_html": "Testing if a relationship is a function", "id": "26791", "description_html": "Testing if a relationship is a function", "title": "Testing if a relationship is a function", "progress_key": "v26791", "edit_slug": "edit/v/26791", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing if a relationship is a function", "extra_properties": null, "node_slug": "v/testing-if-a-relationship-is-a-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.mp4/3SO1BQQ9_1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.mp4/3SO1BQQ9_1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3SO1BQQ9_1E.m3u8/3SO1BQQ9_1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3SO1BQQ9_1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26791", "sha": "74389d370a53a870cccb041d446e75b11731227e", "translated_description": "Testing if a relationship is a function", "image_url": "https://img.youtube.com/vi/3SO1BQQ9_1E/hqdefault.jpg", "youtube_id": "3SO1BQQ9_1E", "content_kind": "Video", "readable_id": "testing-if-a-relationship-is-a-function"}, {"translated_youtube_id": "qGmJ4F3b5W8", "relative_url": "/video/graphical-relations-and-functions", "has_questions": false, "keywords": "u17_l1_t1_we3, Graphical, Relations, and, Functions", "ka_url": "http://www.khanacademy.org/video/graphical-relations-and-functions", "duration": 247, "translated_title": "Graphical relations and functions", "translated_description_html": "Graphical Relations and Functions", "id": "357917979", "description_html": "Graphical Relations and Functions", "title": "Graphical relations and functions", "progress_key": "v357917979", "edit_slug": "edit/v/357917979", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Graphical Relations and Functions", "extra_properties": null, "node_slug": "v/graphical-relations-and-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.mp4/qGmJ4F3b5W8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.mp4/qGmJ4F3b5W8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qGmJ4F3b5W8.m3u8/qGmJ4F3b5W8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qGmJ4F3b5W8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357917979", "sha": "d1db85ac0f2c771509dfe8ccc8f55604a7800266", "translated_description": "Graphical Relations and Functions", "image_url": "https://img.youtube.com/vi/qGmJ4F3b5W8/hqdefault.jpg", "youtube_id": "qGmJ4F3b5W8", "content_kind": "Video", "readable_id": "graphical-relations-and-functions"}, {"translated_youtube_id": "jQ-fS2lsslU", "relative_url": "/video/functions-as-graphs", "has_questions": false, "keywords": "Functions, As, Graphs, CC_8_F_1, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/functions-as-graphs", "duration": 575, "translated_title": "Functions as graphs", "translated_description_html": null, "id": "23592", "description_html": null, "title": "Functions as graphs", "progress_key": "v23592", "edit_slug": "edit/v/23592", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/functions-as-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.m3u8/jQ-fS2lsslU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQ-fS2lsslU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23592", "sha": "d9f5ff203f9086b22e0f92073a8cd209503a5ef2", "translated_description": null, "image_url": "https://img.youtube.com/vi/jQ-fS2lsslU/hqdefault.jpg", "youtube_id": "jQ-fS2lsslU", "content_kind": "Video", "readable_id": "functions-as-graphs"}, {"translated_youtube_id": "tBRW-CyJE6k", "relative_url": "/video/recognizing-functions--example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-1", "duration": 91, "translated_title": "Recognizing functions (example 1)", "translated_description_html": "", "id": "xe1f24412", "description_html": "", "title": "Recognizing functions (example 1)", "progress_key": "vxe1f24412", "edit_slug": "edit/v/xe1f24412", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.mp4/tBRW-CyJE6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.mp4/tBRW-CyJE6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tBRW-CyJE6k.m3u8/tBRW-CyJE6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tBRW-CyJE6k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe1f24412", "sha": "d8e2b8d515975a18dfc443ce3111c7e277e34e8b", "translated_description": "", "image_url": "https://img.youtube.com/vi/tBRW-CyJE6k/hqdefault.jpg", "youtube_id": "tBRW-CyJE6k", "content_kind": "Video", "readable_id": "recognizing-functions--example-1"}, {"translated_youtube_id": "_npwsLh0vws", "relative_url": "/video/recognizing-functions--example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-2", "duration": 100, "translated_title": "Recognizing functions (example 2)", "translated_description_html": "", "id": "x5b15777f", "description_html": "", "title": "Recognizing functions (example 2)", "progress_key": "vx5b15777f", "edit_slug": "edit/v/x5b15777f", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-04T19:20:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.mp4/_npwsLh0vws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.mp4/_npwsLh0vws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_npwsLh0vws.m3u8/_npwsLh0vws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_npwsLh0vws&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5b15777f", "sha": "36b86f790fd3e1c391bc10ad8d175ca0f9bc7626", "translated_description": "", "image_url": "https://img.youtube.com/vi/_npwsLh0vws/hqdefault.jpg", "youtube_id": "_npwsLh0vws", "content_kind": "Video", "readable_id": "recognizing-functions--example-2"}, {"translated_youtube_id": "Uz0MtFlLD-k", "relative_url": "/video/relations-and-functions", "has_questions": false, "keywords": "u17_l1_t1_we2, Relations, and, Functions", "ka_url": "http://www.khanacademy.org/video/relations-and-functions", "duration": 417, "translated_title": "Relations and functions", "translated_description_html": "Relations and Functions", "id": "357917981", "description_html": "Relations and Functions", "title": "Relations and functions", "progress_key": "v357917981", "edit_slug": "edit/v/357917981", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Relations and Functions", "extra_properties": null, "node_slug": "v/relations-and-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.m3u8/Uz0MtFlLD-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uz0MtFlLD-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357917981", "sha": "5e3642aff1dc37d77b1dd033aac91e12e0734f2d", "translated_description": "Relations and Functions", "image_url": "https://img.youtube.com/vi/Uz0MtFlLD-k/hqdefault.jpg", "youtube_id": "Uz0MtFlLD-k", "content_kind": "Video", "readable_id": "relations-and-functions"}, {"translated_youtube_id": "5cK86VKoBPw", "relative_url": "/video/functional-relationships-1", "has_questions": false, "keywords": "U03_L2_T1_we1, Functional, Relationships, CC_8_F_1, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/functional-relationships-1", "duration": 280, "translated_title": "Functional relationships 1", "translated_description_html": "Functional Relationships 1", "id": "26790", "description_html": "Functional Relationships 1", "title": "Functional relationships 1", "progress_key": "v26790", "edit_slug": "edit/v/26790", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Functional Relationships 1", "extra_properties": null, "node_slug": "v/functional-relationships-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.m3u8/5cK86VKoBPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5cK86VKoBPw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26790", "sha": "574628b097da034cbd039361a06f26fe367a398c", "translated_description": "Functional Relationships 1", "image_url": "https://img.youtube.com/vi/5cK86VKoBPw/hqdefault.jpg", "youtube_id": "5cK86VKoBPw", "content_kind": "Video", "readable_id": "functional-relationships-1"}, {"translated_youtube_id": "lEhf75ma7Ww", "relative_url": "/video/recognizing-functions--example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-3", "duration": 76, "translated_title": "Recognizing functions (example 3)", "translated_description_html": "", "id": "x9cd7b997", "description_html": "", "title": "Recognizing functions (example 3)", "progress_key": "vx9cd7b997", "edit_slug": "edit/v/x9cd7b997", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.mp4/lEhf75ma7Ww.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.mp4/lEhf75ma7Ww.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lEhf75ma7Ww.m3u8/lEhf75ma7Ww.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lEhf75ma7Ww&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9cd7b997", "sha": "29260c9fceb188c090870fa167eaa39f56e2bb4c", "translated_description": "", "image_url": "https://img.youtube.com/vi/lEhf75ma7Ww/hqdefault.jpg", "youtube_id": "lEhf75ma7Ww", "content_kind": "Video", "readable_id": "recognizing-functions--example-3"}, {"translated_youtube_id": "QWLcNxQ3KvQ", "relative_url": "/video/recognizing-functions--example-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-4", "duration": 213, "translated_title": "Recognizing functions (example 4)", "translated_description_html": "", "id": "xce131edd", "description_html": "", "title": "Recognizing functions (example 4)", "progress_key": "vxce131edd", "edit_slug": "edit/v/xce131edd", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.mp4/QWLcNxQ3KvQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.mp4/QWLcNxQ3KvQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QWLcNxQ3KvQ.m3u8/QWLcNxQ3KvQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QWLcNxQ3KvQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxce131edd", "sha": "a2ea77c8273707b7e56ebf1447359caabf0ff8ef", "translated_description": "", "image_url": "https://img.youtube.com/vi/QWLcNxQ3KvQ/hqdefault.jpg", "youtube_id": "QWLcNxQ3KvQ", "content_kind": "Video", "readable_id": "recognizing-functions--example-4"}, {"translated_youtube_id": "z45UEiPaE8c", "relative_url": "/video/recognizing-functions--example-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-functions--example-5", "duration": 203, "translated_title": "Recognizing functions (example 5)", "translated_description_html": "", "id": "xe4c1673b", "description_html": "", "title": "Recognizing functions (example 5)", "progress_key": "vxe4c1673b", "edit_slug": "edit/v/xe4c1673b", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-functions--example-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.mp4/z45UEiPaE8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.mp4/z45UEiPaE8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z45UEiPaE8c.m3u8/z45UEiPaE8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z45UEiPaE8c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe4c1673b", "sha": "53113f37bc535814663ce9a9a91f8e9662f0bc06", "translated_description": "", "image_url": "https://img.youtube.com/vi/z45UEiPaE8c/hqdefault.jpg", "youtube_id": "z45UEiPaE8c", "content_kind": "Video", "readable_id": "recognizing-functions--example-5"}], "twitter_url": "", "translated_description": "Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does!", "x_pos": 0.0, "node_slug": "relationships_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f3b9e9d", "topic_page_url": "/math/algebra/algebra-functions/relationships_functions", "extended_slug": "math/algebra/algebra-functions/relationships_functions", "slug": "relationships_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "206958984bed5dd1e07fef190321bc151a1f023e", "standalone_title": "Function introduction", "y_pos": 0.0, "current_revision_key": "206958984bed5dd1e07fef190321bc151a1f023e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/domain_and_range", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range", "translated_standalone_title": "Domain and range", "translated_title": "Domain and range", "gplus_url": "", "id": "xd7aaee0f", "old_key_name": "M0b2jxMxQC7NhdoY7tKC2Ym3q_00-zPWOAuUZeZj", "hide": false, "title": "Domain and range", "child_data": [{"kind": "Video", "id": 23512}, {"kind": "Video", "id": 357927412}, {"kind": "Video", "id": 364981333}, {"kind": "Video", "id": 26792}, {"kind": "Video", "id": 364967637}, {"kind": "Exercise", "id": 2025}, {"kind": "Video", "id": 26793}, {"kind": "Video", "id": 23590}, {"kind": "Exercise", "id": 47889342}, {"kind": "Video", "id": "x1410f50a"}, {"kind": "Exercise", "id": 371794641}], "children": [{"translated_youtube_id": "U-k5N1WPk4g", "relative_url": "/video/domain-of-a-function", "has_questions": false, "keywords": "domain, range, algebra, function, CC_39336_F-IF_2", "ka_url": "http://www.khanacademy.org/video/domain-of-a-function", "duration": 599, "translated_title": "Domain of a function", "translated_description_html": "Figuring out the domain of a function", "id": "23512", "description_html": "Figuring out the domain of a function", "title": "Domain of a function", "progress_key": "v23512", "edit_slug": "edit/v/23512", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the domain of a function", "extra_properties": null, "node_slug": "v/domain-of-a-function", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.m3u8/U-k5N1WPk4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U-k5N1WPk4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23512", "sha": "81f01ceb39ee16bf6fcfabe8877c94c943c42d4a", "translated_description": "Figuring out the domain of a function", "image_url": "https://img.youtube.com/vi/U-k5N1WPk4g/hqdefault.jpg", "youtube_id": "U-k5N1WPk4g", "content_kind": "Video", "readable_id": "domain-of-a-function"}, {"translated_youtube_id": "g3LrOw1JMi8", "relative_url": "/video/domain-and-range-of-a-relation", "has_questions": false, "keywords": "u17_l1_t1_we1, Domain, and, Range, of, Relation", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-relation", "duration": 163, "translated_title": "Domain and range of a relation", "translated_description_html": "Domain and Range of a Relation", "id": "357927412", "description_html": "Domain and Range of a Relation", "title": "Domain and range of a relation", "progress_key": "v357927412", "edit_slug": "edit/v/357927412", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Domain and Range of a Relation", "extra_properties": null, "node_slug": "v/domain-and-range-of-a-relation", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.m3u8/g3LrOw1JMi8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g3LrOw1JMi8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357927412", "sha": "cb3140bd4fa64517abfae90b76a5eaf628856641", "translated_description": "Domain and Range of a Relation", "image_url": "https://img.youtube.com/vi/g3LrOw1JMi8/hqdefault.jpg", "youtube_id": "g3LrOw1JMi8", "content_kind": "Video", "readable_id": "domain-and-range-of-a-relation"}, {"translated_youtube_id": "za0QJRZ-yQ4", "relative_url": "/video/domain-and-range-of-a-function-given-a-formula", "has_questions": false, "keywords": "u17_l2_t3_we1, Domain, and, Range, of, Function, Given, Formula", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-function-given-a-formula", "duration": 487, "translated_title": "Domain and range of a function given a formula", "translated_description_html": "Domain and Range of a Function Given a Formula", "id": "364981333", "description_html": "Domain and Range of a Function Given a Formula", "title": "Domain and range of a function given a formula", "progress_key": "v364981333", "edit_slug": "edit/v/364981333", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Domain and Range of a Function Given a Formula", "extra_properties": null, "node_slug": "v/domain-and-range-of-a-function-given-a-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.mp4/za0QJRZ-yQ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.mp4/za0QJRZ-yQ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.m3u8/za0QJRZ-yQ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=za0QJRZ-yQ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981333", "sha": "bd09ebbd0e0088ecc39c78c642c7ef829cbb24cf", "translated_description": "Domain and Range of a Function Given a Formula", "image_url": "https://img.youtube.com/vi/za0QJRZ-yQ4/hqdefault.jpg", "youtube_id": "za0QJRZ-yQ4", "content_kind": "Video", "readable_id": "domain-and-range-of-a-function-given-a-formula"}, {"translated_youtube_id": "C6F33Ir-sY4", "relative_url": "/video/domain-and-range-1", "has_questions": false, "keywords": "U03_L2_T2_we1, Domain, and, Range, CC_39336_F-IF_1, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/domain-and-range-1", "duration": 216, "translated_title": "Domain and range 1", "translated_description_html": "Domain and Range 1", "id": "26792", "description_html": "Domain and Range 1", "title": "Domain and range 1", "progress_key": "v26792", "edit_slug": "edit/v/26792", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain and Range 1", "extra_properties": null, "node_slug": "v/domain-and-range-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.mp4/C6F33Ir-sY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.mp4/C6F33Ir-sY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.m3u8/C6F33Ir-sY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6F33Ir-sY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26792", "sha": "994579ae0679bfa33e9875f9932fedbf861e32d3", "translated_description": "Domain and Range 1", "image_url": "https://img.youtube.com/vi/C6F33Ir-sY4/hqdefault.jpg", "youtube_id": "C6F33Ir-sY4", "content_kind": "Video", "readable_id": "domain-and-range-1"}, {"translated_youtube_id": "4h54s7BBPpA", "relative_url": "/video/domain-of-a-radical-function", "has_questions": false, "keywords": "u17_l2_t3_we2, Domain, of, Radical, Function", "ka_url": "http://www.khanacademy.org/video/domain-of-a-radical-function", "duration": 107, "translated_title": "Domain of a radical function", "translated_description_html": "Domain of a Radical Function", "id": "364967637", "description_html": "Domain of a Radical Function", "title": "Domain of a radical function", "progress_key": "v364967637", "edit_slug": "edit/v/364967637", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain of a Radical Function", "extra_properties": null, "node_slug": "v/domain-of-a-radical-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.mp4/4h54s7BBPpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.mp4/4h54s7BBPpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.m3u8/4h54s7BBPpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4h54s7BBPpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967637", "sha": "c347368946c74f3b678e0f0b31e0b0e5073c8690", "translated_description": "Domain of a Radical Function", "image_url": "https://img.youtube.com/vi/4h54s7BBPpA/hqdefault.jpg", "youtube_id": "4h54s7BBPpA", "content_kind": "Video", "readable_id": "domain-of-a-radical-function"}, {"translated_youtube_id": "0lY4PcCYoyE", "relative_url": "/video/domain-and-range-2", "has_questions": false, "keywords": "U03_L2_T2_we2, Domain, and, Range, CC_8_F_1, CC_39336_F-IF_1", "ka_url": "http://www.khanacademy.org/video/domain-and-range-2", "duration": 188, "translated_title": "Domain and range 2", "translated_description_html": "Domain and Range 2", "id": "26793", "description_html": "Domain and Range 2", "title": "Domain and range 2", "progress_key": "v26793", "edit_slug": "edit/v/26793", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain and Range 2", "extra_properties": null, "node_slug": "v/domain-and-range-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.mp4/0lY4PcCYoyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.mp4/0lY4PcCYoyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.m3u8/0lY4PcCYoyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0lY4PcCYoyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26793", "sha": "d51cec3d6f704c54a7e1b90a4af9d2207cdbc10d", "translated_description": "Domain and Range 2", "image_url": "https://img.youtube.com/vi/0lY4PcCYoyE/hqdefault.jpg", "youtube_id": "0lY4PcCYoyE", "content_kind": "Video", "readable_id": "domain-and-range-2"}, {"translated_youtube_id": "O0uUVH8dRiU", "relative_url": "/video/domain-and-range-of-a-function", "has_questions": false, "keywords": "Function, Domain, Range, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-function", "duration": 772, "translated_title": "Domain and range of a function", "translated_description_html": null, "id": "23590", "description_html": null, "title": "Domain and range of a function", "progress_key": "v23590", "edit_slug": "edit/v/23590", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/domain-and-range-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.mp4/O0uUVH8dRiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.mp4/O0uUVH8dRiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.m3u8/O0uUVH8dRiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O0uUVH8dRiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23590", "sha": "eef23c825410257f6905f4d645207e916cac92d6", "translated_description": null, "image_url": "https://img.youtube.com/vi/O0uUVH8dRiU/hqdefault.jpg", "youtube_id": "O0uUVH8dRiU", "content_kind": "Video", "readable_id": "domain-and-range-of-a-function"}, {"translated_youtube_id": "sXP7VhU1gYE", "relative_url": "/video/domain-and-range-from-graphs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/domain-and-range-from-graphs", "duration": 214, "translated_title": "Domain and range from graphs", "translated_description_html": "", "id": "x1410f50a", "description_html": "", "title": "Domain and range from graphs", "progress_key": "vx1410f50a", "edit_slug": "edit/v/x1410f50a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/domain-and-range-from-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T18:17:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sXP7VhU1gYE.mp4/sXP7VhU1gYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sXP7VhU1gYE.mp4/sXP7VhU1gYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sXP7VhU1gYE.m3u8/sXP7VhU1gYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sXP7VhU1gYE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1410f50a", "sha": "682764b6fd0f029b501588f8bdece599d989828a", "translated_description": "", "image_url": "https://img.youtube.com/vi/sXP7VhU1gYE/hqdefault.jpg", "youtube_id": "sXP7VhU1gYE", "content_kind": "Video", "readable_id": "domain-and-range-from-graphs"}], "twitter_url": "", "translated_description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", "x_pos": 0.0, "node_slug": "domain_and_range", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:21:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7aaee0f", "topic_page_url": "/math/algebra/algebra-functions/domain_and_range", "extended_slug": "math/algebra/algebra-functions/domain_and_range", "slug": "domain_and_range", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0b9716e2d1a2a1b87719cc7b9a97b66c2d1615e0", "standalone_title": "Domain and range", "y_pos": 0.0, "current_revision_key": "0b9716e2d1a2a1b87719cc7b9a97b66c2d1615e0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/direct_inverse_variation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/direct_inverse_variation", "translated_standalone_title": "Direct and inverse variation", "translated_title": "Direct and inverse variation", "gplus_url": "", "id": "x53bcca90", "old_key_name": "PVhQPwMFjBtkD8Iintekt4M0ejHXSMSWrEqec5Y0", "hide": false, "title": "Direct and inverse variation", "child_data": [{"kind": "Video", "id": 62754976}, {"kind": "Video", "id": 62754977}, {"kind": "Video", "id": 124291560}, {"kind": "Exercise", "id": 23890555}, {"kind": "Video", "id": 23640}, {"kind": "Video", "id": 26794}, {"kind": "Video", "id": 124291567}, {"kind": "Video", "id": 124291559}, {"kind": "Video", "id": 124291558}], "children": [{"translated_youtube_id": "92U67CUy9Gc", "relative_url": "/video/direct-and-inverse-variation", "has_questions": false, "keywords": "direct, inverse, variation", "ka_url": "http://www.khanacademy.org/video/direct-and-inverse-variation", "duration": 594, "translated_title": "Direct and inverse variation", "translated_description_html": "Understanding direct and inverse variation", "id": "62754976", "description_html": "Understanding direct and inverse variation", "title": "Direct and inverse variation", "progress_key": "v62754976", "edit_slug": "edit/v/62754976", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding direct and inverse variation", "extra_properties": null, "node_slug": "v/direct-and-inverse-variation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-16T23:59:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/92U67CUy9Gc.mp4/92U67CUy9Gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/92U67CUy9Gc.mp4/92U67CUy9Gc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/92U67CUy9Gc.m3u8/92U67CUy9Gc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=92U67CUy9Gc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v62754976", "sha": "00a4c09b5b401ca018ca591472a533f65b75582a", "translated_description": "Understanding direct and inverse variation", "image_url": "https://img.youtube.com/vi/92U67CUy9Gc/hqdefault.jpg", "youtube_id": "92U67CUy9Gc", "content_kind": "Video", "readable_id": "direct-and-inverse-variation"}, {"translated_youtube_id": "3_DxJwDTbyQ", "relative_url": "/video/recognizing-direct-and-inverse-variation", "has_questions": false, "keywords": "direct, inverse, variation", "ka_url": "http://www.khanacademy.org/video/recognizing-direct-and-inverse-variation", "duration": 425, "translated_title": "Recognizing direct and inverse variation", "translated_description_html": "Examples of variables varying directly and inversely", "id": "62754977", "description_html": "Examples of variables varying directly and inversely", "title": "Recognizing direct and inverse variation", "progress_key": "v62754977", "edit_slug": "edit/v/62754977", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Examples of variables varying directly and inversely", "extra_properties": null, "node_slug": "v/recognizing-direct-and-inverse-variation", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-04-16T23:59:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_DxJwDTbyQ.mp4/3_DxJwDTbyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_DxJwDTbyQ.mp4/3_DxJwDTbyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_DxJwDTbyQ.m3u8/3_DxJwDTbyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_DxJwDTbyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v62754977", "sha": "e9d3ebbf9f54a56d23787a57aeefcc4c418894d4", "translated_description": "Examples of variables varying directly and inversely", "image_url": "https://img.youtube.com/vi/3_DxJwDTbyQ/hqdefault.jpg", "youtube_id": "3_DxJwDTbyQ", "content_kind": "Video", "readable_id": "recognizing-direct-and-inverse-variation"}, {"translated_youtube_id": "c6-FJRda_Vc", "relative_url": "/video/proportionality-constant-for-direct-variation", "has_questions": false, "keywords": "u15_l3_t1_we3, Proportionality, Constant, for, Direct, Variation, CC_6_EE_2_c, CC_6_EE_9", "ka_url": "http://www.khanacademy.org/video/proportionality-constant-for-direct-variation", "duration": 104, "translated_title": "Proportionality constant for direct variation", "translated_description_html": "Proportionality Constant for Direct Variation", "id": "124291560", "description_html": "Proportionality Constant for Direct Variation", "title": "Proportionality constant for direct variation", "progress_key": "v124291560", "edit_slug": "edit/v/124291560", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proportionality Constant for Direct Variation", "extra_properties": null, "node_slug": "v/proportionality-constant-for-direct-variation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c6-FJRda_Vc.mp4/c6-FJRda_Vc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c6-FJRda_Vc.mp4/c6-FJRda_Vc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c6-FJRda_Vc.m3u8/c6-FJRda_Vc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c6-FJRda_Vc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291560", "sha": "9248b759932dcfc654baec8dcd9f863168ef4b74", "translated_description": "Proportionality Constant for Direct Variation", "image_url": "https://img.youtube.com/vi/c6-FJRda_Vc/hqdefault.jpg", "youtube_id": "c6-FJRda_Vc", "content_kind": "Video", "readable_id": "proportionality-constant-for-direct-variation"}, {"translated_youtube_id": "9M-B5qU7ezY", "relative_url": "/video/direct-variation-models", "has_questions": false, "keywords": "Direct, Variation, Models, CC_39336_F-LE_1_b", "ka_url": "http://www.khanacademy.org/video/direct-variation-models", "duration": 671, "translated_title": "Direct variation models", "translated_description_html": "Direct Variation Models", "id": "23640", "description_html": "Direct Variation Models", "title": "Direct variation models", "progress_key": "v23640", "edit_slug": "edit/v/23640", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Direct Variation Models", "extra_properties": null, "node_slug": "v/direct-variation-models", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9M-B5qU7ezY.mp4/9M-B5qU7ezY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9M-B5qU7ezY.mp4/9M-B5qU7ezY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9M-B5qU7ezY.m3u8/9M-B5qU7ezY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9M-B5qU7ezY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23640", "sha": "b48c6f1ab3f0d8316628f2bf7cb57eda3d3a5fa7", "translated_description": "Direct Variation Models", "image_url": "https://img.youtube.com/vi/9M-B5qU7ezY/hqdefault.jpg", "youtube_id": "9M-B5qU7ezY", "content_kind": "Video", "readable_id": "direct-variation-models"}, {"translated_youtube_id": "rSadG6EtJmY", "relative_url": "/video/direct-variation-1", "has_questions": false, "keywords": "Direct, Variation, CC_8_F_1, CC_8_F_4, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/direct-variation-1", "duration": 219, "translated_title": "Direct variation 1", "translated_description_html": "Direct Variation 1", "id": "26794", "description_html": "Direct Variation 1", "title": "Direct variation 1", "progress_key": "v26794", "edit_slug": "edit/v/26794", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Direct Variation 1", "extra_properties": null, "node_slug": "v/direct-variation-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rSadG6EtJmY.mp4/rSadG6EtJmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rSadG6EtJmY.mp4/rSadG6EtJmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rSadG6EtJmY.m3u8/rSadG6EtJmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rSadG6EtJmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26794", "sha": "0edb30f02e461c989c3d5c83cabe4550547e4737", "translated_description": "Direct Variation 1", "image_url": "https://img.youtube.com/vi/rSadG6EtJmY/hqdefault.jpg", "youtube_id": "rSadG6EtJmY", "content_kind": "Video", "readable_id": "direct-variation-1"}, {"translated_youtube_id": "lkP-E2LUnjA", "relative_url": "/video/inverse-variation-application", "has_questions": false, "keywords": "u15_l3_t1_we5, Inverse, Variation, Application, CC_6_EE_2_c, CC_6_EE_9", "ka_url": "http://www.khanacademy.org/video/inverse-variation-application", "duration": 282, "translated_title": "Inverse variation application", "translated_description_html": "Inverse Variation Application", "id": "124291567", "description_html": "Inverse Variation Application", "title": "Inverse variation application", "progress_key": "v124291567", "edit_slug": "edit/v/124291567", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Inverse Variation Application", "extra_properties": null, "node_slug": "v/inverse-variation-application", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lkP-E2LUnjA.mp4/lkP-E2LUnjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lkP-E2LUnjA.mp4/lkP-E2LUnjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lkP-E2LUnjA.m3u8/lkP-E2LUnjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lkP-E2LUnjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291567", "sha": "144ade62ad08a6c2c6e748b1035833b81d13687c", "translated_description": "Inverse Variation Application", "image_url": "https://img.youtube.com/vi/lkP-E2LUnjA/hqdefault.jpg", "youtube_id": "lkP-E2LUnjA", "content_kind": "Video", "readable_id": "inverse-variation-application"}, {"translated_youtube_id": "v-k5L0BPOmc", "relative_url": "/video/direct-inverse-and-joint-variation", "has_questions": false, "keywords": "u15_l3_t1_we2, Direct, Inverse, and, Joint, Variation, CC_6_EE_9", "ka_url": "http://www.khanacademy.org/video/direct-inverse-and-joint-variation", "duration": 330, "translated_title": "Direct inverse and joint variation", "translated_description_html": "Direct Inverse and Joint Variation", "id": "124291559", "description_html": "Direct Inverse and Joint Variation", "title": "Direct inverse and joint variation", "progress_key": "v124291559", "edit_slug": "edit/v/124291559", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Direct Inverse and Joint Variation", "extra_properties": null, "node_slug": "v/direct-inverse-and-joint-variation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-k5L0BPOmc.mp4/v-k5L0BPOmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v-k5L0BPOmc.mp4/v-k5L0BPOmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v-k5L0BPOmc.m3u8/v-k5L0BPOmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v-k5L0BPOmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291559", "sha": "564c4ddc3385698d80014c44b3e57de7096892e5", "translated_description": "Direct Inverse and Joint Variation", "image_url": "https://img.youtube.com/vi/v-k5L0BPOmc/hqdefault.jpg", "youtube_id": "v-k5L0BPOmc", "content_kind": "Video", "readable_id": "direct-inverse-and-joint-variation"}, {"translated_youtube_id": "ZsjfUUJUq9s", "relative_url": "/video/direct-variation-application", "has_questions": false, "keywords": "u15_l3_t1_we4, Direct, Variation, Application, CC_6_EE_2_c, CC_6_EE_9", "ka_url": "http://www.khanacademy.org/video/direct-variation-application", "duration": 122, "translated_title": "Direct variation application", "translated_description_html": "Direct Variation Application", "id": "124291558", "description_html": "Direct Variation Application", "title": "Direct variation application", "progress_key": "v124291558", "edit_slug": "edit/v/124291558", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Direct Variation Application", "extra_properties": null, "node_slug": "v/direct-variation-application", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZsjfUUJUq9s.mp4/ZsjfUUJUq9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZsjfUUJUq9s.mp4/ZsjfUUJUq9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZsjfUUJUq9s.m3u8/ZsjfUUJUq9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZsjfUUJUq9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291558", "sha": "04b3592607198692846aed2d5658a0035d00b145", "translated_description": "Direct Variation Application", "image_url": "https://img.youtube.com/vi/ZsjfUUJUq9s/hqdefault.jpg", "youtube_id": "ZsjfUUJUq9s", "content_kind": "Video", "readable_id": "direct-variation-application"}], "twitter_url": "", "translated_description": "Whether you are talking about how force relates to acceleration or how the cost of movie tickets relates to the number of people going, it is not uncommon in this universe for things to vary directly. Similarly, when you are, say, talking about how hunger might relate to seeing roadkill, things can vary inversely.\n\nThis tutorial digs deeper into these ideas with a bunch of examples of direct and inverse variation.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are talking about how force relates to acceleration or how the cost of movie tickets relates to the number of people going, it is not uncommon in this universe for things to vary directly. Similarly, when you are, say, talking about how hunger might relate to seeing roadkill, things can vary inversely.\n\nThis tutorial digs deeper into these ideas with a bunch of examples of direct and inverse variation.", "x_pos": 0.0, "node_slug": "direct_inverse_variation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax53bcca90", "topic_page_url": "/math/algebra/algebra-functions/direct_inverse_variation", "extended_slug": "math/algebra/algebra-functions/direct_inverse_variation", "slug": "direct_inverse_variation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1a867ac00d9a71c059fa5bb33b70634132a4ee8c", "standalone_title": "Direct and inverse variation", "y_pos": 0.0, "current_revision_key": "1a867ac00d9a71c059fa5bb33b70634132a4ee8c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/graphing_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/graphing_functions", "translated_standalone_title": "Graphing functions", "translated_title": "Graphing functions", "gplus_url": "", "id": "xbecf19f3", "old_key_name": "Uyuhv737kojQXYyYrTcOvFG2dHjfBVegLzMOUCdL", "hide": false, "title": "Graphing functions", "child_data": [{"kind": "Video", "id": 357917980}, {"kind": "Video", "id": 364967638}, {"kind": "Video", "id": 364967635}, {"kind": "Video", "id": 364981331}, {"kind": "Video", "id": 364954029}, {"kind": "Exercise", "id": 957104859}, {"kind": "Video", "id": "x98c9e2aa"}, {"kind": "Exercise", "id": "x5d68616a"}], "children": [{"translated_youtube_id": "E9YEUQR9NAU", "relative_url": "/video/evaluating-functions", "has_questions": false, "keywords": "u17_l2_t1_we1, Evaluating, Functions", "ka_url": "http://www.khanacademy.org/video/evaluating-functions", "duration": 308, "translated_title": "Ex 1: Evaluating a function", "translated_description_html": "Evaluating Functions", "id": "357917980", "description_html": "Evaluating Functions", "title": "Ex 1: Evaluating a function", "progress_key": "v357917980", "edit_slug": "edit/v/357917980", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating Functions", "extra_properties": null, "node_slug": "v/evaluating-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E9YEUQR9NAU.mp4/E9YEUQR9NAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E9YEUQR9NAU.mp4/E9YEUQR9NAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E9YEUQR9NAU.m3u8/E9YEUQR9NAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E9YEUQR9NAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357917980", "sha": "2a811c03e2b0b07b0a69bc32944d80b77ea32ad9", "translated_description": "Evaluating Functions", "image_url": "https://img.youtube.com/vi/E9YEUQR9NAU/hqdefault.jpg", "youtube_id": "E9YEUQR9NAU", "content_kind": "Video", "readable_id": "evaluating-functions"}, {"translated_youtube_id": "2-dUHLHeyTY", "relative_url": "/video/graphing-a--basic-function", "has_questions": false, "keywords": "u17_l2_t2_we1, Graphing, Basic, Function", "ka_url": "http://www.khanacademy.org/video/graphing-a--basic-function", "duration": 336, "translated_title": "Ex 2: Graphing a basic function", "translated_description_html": "Graphing a Basic Function", "id": "364967638", "description_html": "Graphing a Basic Function", "title": "Ex 2: Graphing a basic function", "progress_key": "v364967638", "edit_slug": "edit/v/364967638", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a Basic Function", "extra_properties": null, "node_slug": "v/graphing-a--basic-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2-dUHLHeyTY.mp4/2-dUHLHeyTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2-dUHLHeyTY.mp4/2-dUHLHeyTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2-dUHLHeyTY.m3u8/2-dUHLHeyTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2-dUHLHeyTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967638", "sha": "13aaceea92a0473eb561fd02994b10c089dca31f", "translated_description": "Graphing a Basic Function", "image_url": "https://img.youtube.com/vi/2-dUHLHeyTY/hqdefault.jpg", "youtube_id": "2-dUHLHeyTY", "content_kind": "Video", "readable_id": "graphing-a--basic-function"}, {"translated_youtube_id": "nh3_IGxHA5A", "relative_url": "/video/graphing-a-quadratic-function", "has_questions": false, "keywords": "u17_l2_t2_we2, Graphing, Quadratic, Function , parabola", "ka_url": "http://www.khanacademy.org/video/graphing-a-quadratic-function", "duration": 424, "translated_title": "Graphing a parabola with a table of values", "translated_description_html": "

Graphing a parabola with a table of values<\/p>\n", "id": "364967635", "description_html": "

Graphing a parabola with a table of values<\/p>\n", "title": "Graphing a parabola with a table of values", "progress_key": "v364967635", "edit_slug": "edit/v/364967635", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a parabola with a table of values\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-a-quadratic-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.mp4/nh3_IGxHA5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.mp4/nh3_IGxHA5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nh3_IGxHA5A.m3u8/nh3_IGxHA5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nh3_IGxHA5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967635", "sha": "6ec0211911d41830131141b5397f6ac40baadd95", "translated_description": "Graphing a parabola with a table of values\n", "image_url": "https://img.youtube.com/vi/nh3_IGxHA5A/hqdefault.jpg", "youtube_id": "nh3_IGxHA5A", "content_kind": "Video", "readable_id": "graphing-a-quadratic-function"}, {"translated_youtube_id": "Mi6OJ4TAufY", "relative_url": "/video/graphing-radical-functions", "has_questions": false, "keywords": "u17_l2_t2_we3, Graphing, Radical, Functions", "ka_url": "http://www.khanacademy.org/video/graphing-radical-functions", "duration": 617, "translated_title": "Ex 4: Graphing radical functions", "translated_description_html": "Graphing Radical Functions", "id": "364981331", "description_html": "Graphing Radical Functions", "title": "Ex 4: Graphing radical functions", "progress_key": "v364981331", "edit_slug": "edit/v/364981331", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Graphing Radical Functions", "extra_properties": null, "node_slug": "v/graphing-radical-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mi6OJ4TAufY.mp4/Mi6OJ4TAufY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mi6OJ4TAufY.mp4/Mi6OJ4TAufY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mi6OJ4TAufY.m3u8/Mi6OJ4TAufY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mi6OJ4TAufY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981331", "sha": "70d0621b19b3a82f67879bbe0c10d4aa657085d8", "translated_description": "Graphing Radical Functions", "image_url": "https://img.youtube.com/vi/Mi6OJ4TAufY/hqdefault.jpg", "youtube_id": "Mi6OJ4TAufY", "content_kind": "Video", "readable_id": "graphing-radical-functions"}, {"translated_youtube_id": "9SOSfRNCQZQ", "relative_url": "/video/graphing-exponential-functions", "has_questions": false, "keywords": "u18_l1_t1_we1, Graphing, Exponential, Functions", "ka_url": "http://www.khanacademy.org/video/graphing-exponential-functions", "duration": 332, "translated_title": "Ex: Graphing exponential functions", "translated_description_html": "Graphing Exponential Functions", "id": "364954029", "description_html": "Graphing Exponential Functions", "title": "Ex: Graphing exponential functions", "progress_key": "v364954029", "edit_slug": "edit/v/364954029", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Graphing Exponential Functions", "extra_properties": null, "node_slug": "v/graphing-exponential-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.mp4/9SOSfRNCQZQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.mp4/9SOSfRNCQZQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.m3u8/9SOSfRNCQZQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9SOSfRNCQZQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954029", "sha": "1a89a3637627aebae4b4b3d7d5ff16d1bf7d11cf", "translated_description": "Graphing Exponential Functions", "image_url": "https://img.youtube.com/vi/9SOSfRNCQZQ/hqdefault.jpg", "youtube_id": "9SOSfRNCQZQ", "content_kind": "Video", "readable_id": "graphing-exponential-functions"}, {"translated_youtube_id": "YyjpeoxdUXc", "relative_url": "/video/interpreting-a-graph-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-a-graph-exercise-example", "duration": 143, "translated_title": "Interpreting a graph exercise example", "translated_description_html": "", "id": "x98c9e2aa", "description_html": "", "title": "Interpreting a graph exercise example", "progress_key": "vx98c9e2aa", "edit_slug": "edit/v/x98c9e2aa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/interpreting-a-graph-exercise-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-12T17:08:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YyjpeoxdUXc.mp4/YyjpeoxdUXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YyjpeoxdUXc.mp4/YyjpeoxdUXc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YyjpeoxdUXc.m3u8/YyjpeoxdUXc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YyjpeoxdUXc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx98c9e2aa", "sha": "8253723f6975d28007d02a444498d492a88670dd", "translated_description": "", "image_url": "https://img.youtube.com/vi/YyjpeoxdUXc/hqdefault.jpg", "youtube_id": "YyjpeoxdUXc", "content_kind": "Video", "readable_id": "interpreting-a-graph-exercise-example"}], "twitter_url": "", "translated_description": "You've already graphed functions when you graphed lines and curves in other topics so this really isn't anything new. Now we'll do a few more examples in this tutorial, but we'll use the function notation to make things a bit more explicit.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've already graphed functions when you graphed lines and curves in other topics so this really isn't anything new. Now we'll do a few more examples in this tutorial, but we'll use the function notation to make things a bit more explicit.", "x_pos": 0.0, "node_slug": "graphing_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T17:12:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbecf19f3", "topic_page_url": "/math/algebra/algebra-functions/graphing_functions", "extended_slug": "math/algebra/algebra-functions/graphing_functions", "slug": "graphing_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3b30c71c797b413d03e29dd52d2a6eaa0a92799a", "standalone_title": "Graphing functions", "y_pos": 0.0, "current_revision_key": "3b30c71c797b413d03e29dd52d2a6eaa0a92799a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/eval-function-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/eval-function-expressions", "translated_standalone_title": "Evaluating function expressions", "translated_title": "Evaluating function expressions", "gplus_url": "", "id": "x5dc76211", "old_key_name": null, "hide": false, "title": "Evaluating function expressions", "child_data": [{"kind": "Video", "id": 364954027}, {"kind": "Video", "id": 364981332}, {"kind": "Video", "id": 364954028}, {"kind": "Video", "id": 364967636}, {"kind": "Video", "id": "x4edf0df7"}, {"kind": "Exercise", "id": 3035}, {"kind": "Video", "id": "xf6ad0f67"}, {"kind": "Exercise", "id": 47887257}], "children": [{"translated_youtube_id": "u9v_bakOIcU", "relative_url": "/video/quotient-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we4, Quotient, of, Functions", "ka_url": "http://www.khanacademy.org/video/quotient-of-functions", "duration": 378, "translated_title": "Quotient of functions", "translated_description_html": "Quotient of functions and factoring by grouping", "id": "364954027", "description_html": "Quotient of functions and factoring by grouping", "title": "Quotient of functions", "progress_key": "v364954027", "edit_slug": "edit/v/364954027", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Quotient of functions and factoring by grouping", "extra_properties": null, "node_slug": "v/quotient-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.m3u8/u9v_bakOIcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u9v_bakOIcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954027", "sha": "cdee09079a5a10de560dc7ee4dc6200076de5516", "translated_description": "Quotient of functions and factoring by grouping", "image_url": "https://img.youtube.com/vi/u9v_bakOIcU/hqdefault.jpg", "youtube_id": "u9v_bakOIcU", "content_kind": "Video", "readable_id": "quotient-of-functions"}, {"translated_youtube_id": "n34dqyVCXs4", "relative_url": "/video/sum-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we1, Sum, of, Functions", "ka_url": "http://www.khanacademy.org/video/sum-of-functions", "duration": 153, "translated_title": "Sum of functions", "translated_description_html": "Sum of Functions", "id": "364981332", "description_html": "Sum of Functions", "title": "Sum of functions", "progress_key": "v364981332", "edit_slug": "edit/v/364981332", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sum of Functions", "extra_properties": null, "node_slug": "v/sum-of-functions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.mp4/n34dqyVCXs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.mp4/n34dqyVCXs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.m3u8/n34dqyVCXs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n34dqyVCXs4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981332", "sha": "be0700d03a135550e9594daaadc16246d2fe1897", "translated_description": "Sum of Functions", "image_url": "https://img.youtube.com/vi/n34dqyVCXs4/hqdefault.jpg", "youtube_id": "n34dqyVCXs4", "content_kind": "Video", "readable_id": "sum-of-functions"}, {"translated_youtube_id": "JKvmAexeMgY", "relative_url": "/video/product-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we3, Product, of, Functions", "ka_url": "http://www.khanacademy.org/video/product-of-functions", "duration": 180, "translated_title": "Product of functions", "translated_description_html": "Product of Functions", "id": "364954028", "description_html": "Product of Functions", "title": "Product of functions", "progress_key": "v364954028", "edit_slug": "edit/v/364954028", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Product of Functions", "extra_properties": null, "node_slug": "v/product-of-functions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.mp4/JKvmAexeMgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.mp4/JKvmAexeMgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.m3u8/JKvmAexeMgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JKvmAexeMgY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954028", "sha": "1b97b027cad3dcc4f40a38e7978b2d27586083aa", "translated_description": "Product of Functions", "image_url": "https://img.youtube.com/vi/JKvmAexeMgY/hqdefault.jpg", "youtube_id": "JKvmAexeMgY", "content_kind": "Video", "readable_id": "product-of-functions"}, {"translated_youtube_id": "KvMyZY9upuA", "relative_url": "/video/difference-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we2, Difference, of, Functions", "ka_url": "http://www.khanacademy.org/video/difference-of-functions", "duration": 188, "translated_title": "Difference of functions", "translated_description_html": "Difference of Functions", "id": "364967636", "description_html": "Difference of Functions", "title": "Difference of functions", "progress_key": "v364967636", "edit_slug": "edit/v/364967636", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference of Functions", "extra_properties": null, "node_slug": "v/difference-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.mp4/KvMyZY9upuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.mp4/KvMyZY9upuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.m3u8/KvMyZY9upuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KvMyZY9upuA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967636", "sha": "14d7635ab74be696fadac0973f177c3c294d2fd3", "translated_description": "Difference of Functions", "image_url": "https://img.youtube.com/vi/KvMyZY9upuA/hqdefault.jpg", "youtube_id": "KvMyZY9upuA", "content_kind": "Video", "readable_id": "difference-of-functions"}, {"translated_youtube_id": "uaPm3Tpuxbc", "relative_url": "/video/evaluating-a-function-expression", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-a-function-expression", "duration": 83, "translated_title": "Evaluating a function expression", "translated_description_html": "", "id": "x4edf0df7", "description_html": "", "title": "Evaluating a function expression", "progress_key": "vx4edf0df7", "edit_slug": "edit/v/x4edf0df7", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/evaluating-a-function-expression", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-06T21:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uaPm3Tpuxbc.mp4/uaPm3Tpuxbc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uaPm3Tpuxbc.mp4/uaPm3Tpuxbc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uaPm3Tpuxbc.m3u8/uaPm3Tpuxbc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uaPm3Tpuxbc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4edf0df7", "sha": "febb986427b21cd4d5c1ab02f81792062f8f6560", "translated_description": "", "image_url": "https://img.youtube.com/vi/uaPm3Tpuxbc/hqdefault.jpg", "youtube_id": "uaPm3Tpuxbc", "content_kind": "Video", "readable_id": "evaluating-a-function-expression"}, {"translated_youtube_id": "jlID_mIJXi4", "relative_url": "/video/evaluating-composite-functions-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-composite-functions-example-1", "duration": 251, "translated_title": "Evaluating composite functions example", "translated_description_html": "", "id": "xf6ad0f67", "description_html": "", "title": "Evaluating composite functions example", "progress_key": "vxf6ad0f67", "edit_slug": "edit/v/xf6ad0f67", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/evaluating-composite-functions-example-1", "deleted": false, "backup_timestamp": "2013-09-20T10:49:46Z", "date_added": "2013-06-06T21:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jlID_mIJXi4.mp4/jlID_mIJXi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jlID_mIJXi4.mp4/jlID_mIJXi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jlID_mIJXi4.m3u8/jlID_mIJXi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jlID_mIJXi4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf6ad0f67", "sha": "74d8b78601e1e57ced2e9424febfcd1c49facf8b", "translated_description": "", "image_url": "https://img.youtube.com/vi/jlID_mIJXi4/hqdefault.jpg", "youtube_id": "jlID_mIJXi4", "content_kind": "Video", "readable_id": "evaluating-composite-functions-example-1"}], "twitter_url": "", "translated_description": "This is a super fun tutorial where we'll evaluate expressions that involve functions. We'll add, subtract, multiply and divide them. We'll also do composite functions which involves taking the output of one function to be the input of another one!\n\nAs always, pause the video and try the problem before Sal does!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is a super fun tutorial where we'll evaluate expressions that involve functions. We'll add, subtract, multiply and divide them. We'll also do composite functions which involves taking the output of one function to be the input of another one!\n\nAs always, pause the video and try the problem before Sal does!", "x_pos": 0.0, "node_slug": "eval-function-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5dc76211", "topic_page_url": "/math/algebra/algebra-functions/eval-function-expressions", "extended_slug": "math/algebra/algebra-functions/eval-function-expressions", "slug": "eval-function-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "baea19686ca46b02d2a51c1d116455df515f6ad3", "standalone_title": "Evaluating function expressions", "y_pos": 0.0, "current_revision_key": "baea19686ca46b02d2a51c1d116455df515f6ad3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/function_inverses", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/function_inverses", "translated_standalone_title": "Function inverses", "translated_title": "Function inverses", "gplus_url": "", "id": "xbfd40ad1", "old_key_name": "VF_P1kuHQNOLbVQyAobOrRsR6A5rwaTZezhSMHbg", "hide": false, "title": "Function inverses", "child_data": [{"kind": "Video", "id": 26633}, {"kind": "Video", "id": 26634}, {"kind": "Video", "id": 26635}, {"kind": "Video", "id": 26636}, {"kind": "Exercise", "id": 4089220}], "children": [{"translated_youtube_id": "W84lObmOp8M", "relative_url": "/video/introduction-to-function-inverses", "has_questions": false, "keywords": "function, inverse, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-function-inverses", "duration": 545, "translated_title": "Introduction to function inverses", "translated_description_html": "Introduction to Function Inverses", "id": "26633", "description_html": "Introduction to Function Inverses", "title": "Introduction to function inverses", "progress_key": "v26633", "edit_slug": "edit/v/26633", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Function Inverses", "extra_properties": null, "node_slug": "v/introduction-to-function-inverses", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.mp4/W84lObmOp8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.mp4/W84lObmOp8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.m3u8/W84lObmOp8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W84lObmOp8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26633", "sha": "beced6ad6bcb6294933b86e380ad447202fe8402", "translated_description": "Introduction to Function Inverses", "image_url": "https://img.youtube.com/vi/W84lObmOp8M/hqdefault.jpg", "youtube_id": "W84lObmOp8M", "content_kind": "Video", "readable_id": "introduction-to-function-inverses"}, {"translated_youtube_id": "wSiamij_i_k", "relative_url": "/video/function-inverse-example-1", "has_questions": false, "keywords": "Function, Inverse, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_b", "ka_url": "http://www.khanacademy.org/video/function-inverse-example-1", "duration": 404, "translated_title": "Function inverse example 1", "translated_description_html": "Function Inverse Example 1", "id": "26634", "description_html": "Function Inverse Example 1", "title": "Function inverse example 1", "progress_key": "v26634", "edit_slug": "edit/v/26634", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverse Example 1", "extra_properties": null, "node_slug": "v/function-inverse-example-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.mp4/wSiamij_i_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.mp4/wSiamij_i_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.m3u8/wSiamij_i_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wSiamij_i_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26634", "sha": "35b12aa319da7ae45cc1ff73549d9b00ad11a00f", "translated_description": "Function Inverse Example 1", "image_url": "https://img.youtube.com/vi/wSiamij_i_k/hqdefault.jpg", "youtube_id": "wSiamij_i_k", "content_kind": "Video", "readable_id": "function-inverse-example-1"}, {"translated_youtube_id": "aeyFb2eVH1c", "relative_url": "/video/function-inverses-example-2", "has_questions": false, "keywords": "Function, Inverses, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_d", "ka_url": "http://www.khanacademy.org/video/function-inverses-example-2", "duration": 432, "translated_title": "Function inverses example 2", "translated_description_html": "Function Inverses Example 2", "id": "26635", "description_html": "Function Inverses Example 2", "title": "Function inverses example 2", "progress_key": "v26635", "edit_slug": "edit/v/26635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverses Example 2", "extra_properties": null, "node_slug": "v/function-inverses-example-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.mp4/aeyFb2eVH1c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.mp4/aeyFb2eVH1c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.m3u8/aeyFb2eVH1c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aeyFb2eVH1c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26635", "sha": "8febb2fd1ebce964020a4783b1faed1d4f46544a", "translated_description": "Function Inverses Example 2", "image_url": "https://img.youtube.com/vi/aeyFb2eVH1c/hqdefault.jpg", "youtube_id": "aeyFb2eVH1c", "content_kind": "Video", "readable_id": "function-inverses-example-2"}, {"translated_youtube_id": "Bq9cq9FZuNM", "relative_url": "/video/function-inverses-example-3", "has_questions": false, "keywords": "Function, Inverses, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_d", "ka_url": "http://www.khanacademy.org/video/function-inverses-example-3", "duration": 455, "translated_title": "Function inverses example 3", "translated_description_html": "Function Inverses Example 3", "id": "26636", "description_html": "Function Inverses Example 3", "title": "Function inverses example 3", "progress_key": "v26636", "edit_slug": "edit/v/26636", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverses Example 3", "extra_properties": null, "node_slug": "v/function-inverses-example-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.mp4/Bq9cq9FZuNM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.mp4/Bq9cq9FZuNM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.m3u8/Bq9cq9FZuNM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bq9cq9FZuNM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26636", "sha": "5abf80b5bc00034f634cf1fad7c070d36eb43b32", "translated_description": "Function Inverses Example 3", "image_url": "https://img.youtube.com/vi/Bq9cq9FZuNM/hqdefault.jpg", "youtube_id": "Bq9cq9FZuNM", "content_kind": "Video", "readable_id": "function-inverses-example-3"}], "twitter_url": "", "translated_description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", "x_pos": 0.0, "node_slug": "function_inverses", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbfd40ad1", "topic_page_url": "/math/algebra/algebra-functions/function_inverses", "extended_slug": "math/algebra/algebra-functions/function_inverses", "slug": "function_inverses", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b6b9ea3cffbd82e1e759f9ab65393e395706dd6b", "standalone_title": "Function inverses", "y_pos": 0.0, "current_revision_key": "b6b9ea3cffbd82e1e759f9ab65393e395706dd6b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/new_operators", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/new_operators", "translated_standalone_title": "New operator definitions", "translated_title": "New operator definitions", "gplus_url": "", "id": "x1d295b54", "old_key_name": "yWRUy1iTEI3Yfky_g3JTmiELOUqzEuz5ut-s8AUt", "hide": false, "title": "New operator definitions", "child_data": [{"kind": "Video", "id": 185730830}, {"kind": "Exercise", "id": 23890537}, {"kind": "Video", "id": 1254312875}, {"kind": "Exercise", "id": 23890539}], "children": [{"translated_youtube_id": "ND-Bbp_q46s", "relative_url": "/video/new-operator-definitions", "has_questions": false, "keywords": "algebra, operators, function, SAT", "ka_url": "http://www.khanacademy.org/video/new-operator-definitions", "duration": 410, "translated_title": "New operator definitions", "translated_description_html": "Getting comfortable with evaluating newly defined function operators", "id": "185730830", "description_html": "Getting comfortable with evaluating newly defined function operators", "title": "New operator definitions", "progress_key": "v185730830", "edit_slug": "edit/v/185730830", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Getting comfortable with evaluating newly defined function operators", "extra_properties": null, "node_slug": "v/new-operator-definitions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-03T23:27:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ND-Bbp_q46s.mp4/ND-Bbp_q46s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ND-Bbp_q46s.mp4/ND-Bbp_q46s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ND-Bbp_q46s.m3u8/ND-Bbp_q46s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ND-Bbp_q46s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185730830", "sha": "4c074ab67003bbe8bf49628c34a74624d7e8d14b", "translated_description": "Getting comfortable with evaluating newly defined function operators", "image_url": "https://img.youtube.com/vi/ND-Bbp_q46s/hqdefault.jpg", "youtube_id": "ND-Bbp_q46s", "content_kind": "Video", "readable_id": "new-operator-definitions"}, {"translated_youtube_id": "soUmhhuF08Y", "relative_url": "/video/new-definitions-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/new-definitions-2", "duration": 133, "translated_title": "New operator definitions 2", "translated_description_html": "

Worked examples of working with newly defined operators<\/p>\n", "id": "1254312875", "description_html": "

Worked examples of working with newly defined operators<\/p>\n", "title": "New operator definitions 2", "progress_key": "v1254312875", "edit_slug": "edit/v/1254312875", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Worked examples of working with newly defined operators\n", "extra_properties": {"original_url": ""}, "node_slug": "v/new-definitions-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-29T01:32:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/soUmhhuF08Y.mp4/soUmhhuF08Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/soUmhhuF08Y.mp4/soUmhhuF08Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/soUmhhuF08Y.m3u8/soUmhhuF08Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=soUmhhuF08Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254312875", "sha": "6a25026dd3dae24c79335554ab5c92a816e06c7e", "translated_description": "Worked examples of working with newly defined operators\n", "image_url": "https://img.youtube.com/vi/soUmhhuF08Y/hqdefault.jpg", "youtube_id": "soUmhhuF08Y", "content_kind": "Video", "readable_id": "new-definitions-2"}], "twitter_url": "", "translated_description": "Are you bored of the traditional operators of addition, subtraction, multiplication and division? Do even exponents seem a little run-of-the-mill?\n\nWell in this tutorial, we will--somewhat arbitrarily--define completely new operators and notation (which are essentially new function definitions without the function notation). Not only will this tutorial expand your mind, it could be the basis of a lot of fun at your next dinner party!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Are you bored of the traditional operators of addition, subtraction, multiplication and division? Do even exponents seem a little run-of-the-mill?\n\nWell in this tutorial, we will--somewhat arbitrarily--define completely new operators and notation (which are essentially new function definitions without the function notation). Not only will this tutorial expand your mind, it could be the basis of a lot of fun at your next dinner party!", "x_pos": 0.0, "node_slug": "new_operators", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1d295b54", "topic_page_url": "/math/algebra/algebra-functions/new_operators", "extended_slug": "math/algebra/algebra-functions/new_operators", "slug": "new_operators", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "19bef0e46b872868c54cbc3c8096cdd6967f62dd", "standalone_title": "New operator definitions", "y_pos": 0.0, "current_revision_key": "19bef0e46b872868c54cbc3c8096cdd6967f62dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-functions/classic-function-videos", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-functions/classic-function-videos", "translated_standalone_title": "Classic function videos", "translated_title": "Classic function videos", "gplus_url": "", "id": "x5bc6a739", "old_key_name": null, "hide": false, "title": "Classic function videos", "child_data": [{"kind": "Video", "id": 23504}, {"kind": "Video", "id": 23506}, {"kind": "Video", "id": 23508}, {"kind": "Video", "id": 23510}], "children": [{"translated_youtube_id": "VhokQhjl5t0", "relative_url": "/video/introduction-to-functions", "has_questions": false, "keywords": "algebra, functions, f(x), domain, range, CC_8_F_1, CC_39336_F-IF_1", "ka_url": "http://www.khanacademy.org/video/introduction-to-functions", "duration": 574, "translated_title": "Introduction to functions", "translated_description_html": "An introduction to functions.", "id": "23504", "description_html": "An introduction to functions.", "title": "Introduction to functions", "progress_key": "v23504", "edit_slug": "edit/v/23504", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to functions.", "extra_properties": null, "node_slug": "v/introduction-to-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhokQhjl5t0.mp4/VhokQhjl5t0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhokQhjl5t0.mp4/VhokQhjl5t0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhokQhjl5t0.m3u8/VhokQhjl5t0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhokQhjl5t0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23504", "sha": "ce1006255901d0621a2f08f7d145808bf916f74b", "translated_description": "An introduction to functions.", "image_url": "https://img.youtube.com/vi/VhokQhjl5t0/hqdefault.jpg", "youtube_id": "VhokQhjl5t0", "content_kind": "Video", "readable_id": "introduction-to-functions"}, {"translated_youtube_id": "XEblO51pF5I", "relative_url": "/video/functions-part-2", "has_questions": false, "keywords": "algebra, functions, math, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/functions-part-2", "duration": 593, "translated_title": "Functions (part 2)", "translated_description_html": "More examples of solving function problems", "id": "23506", "description_html": "More examples of solving function problems", "title": "Functions (part 2)", "progress_key": "v23506", "edit_slug": "edit/v/23506", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples of solving function problems", "extra_properties": null, "node_slug": "v/functions-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.m3u8/XEblO51pF5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XEblO51pF5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23506", "sha": "e0296948e249c57d3bf122893af52cbd8a6fd8e9", "translated_description": "More examples of solving function problems", "image_url": "https://img.youtube.com/vi/XEblO51pF5I/hqdefault.jpg", "youtube_id": "XEblO51pF5I", "content_kind": "Video", "readable_id": "functions-part-2"}, {"translated_youtube_id": "5fcRSie63Hs", "relative_url": "/video/functions--part-iii", "has_questions": false, "keywords": "Functions, algebra, f(x), math, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/functions--part-iii", "duration": 552, "translated_title": "Functions (part 3)", "translated_description_html": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "id": "23508", "description_html": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "title": "Functions (part 3)", "progress_key": "v23508", "edit_slug": "edit/v/23508", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "extra_properties": null, "node_slug": "v/functions--part-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.m3u8/5fcRSie63Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fcRSie63Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23508", "sha": "e168620df06d01486685f2c9220749ff4a1b9e6c", "translated_description": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "image_url": "https://img.youtube.com/vi/5fcRSie63Hs/hqdefault.jpg", "youtube_id": "5fcRSie63Hs", "content_kind": "Video", "readable_id": "functions--part-iii"}, {"translated_youtube_id": "rbt51hXmzig", "relative_url": "/video/functions--part-4", "has_questions": false, "keywords": "functions, algebra, math, compotise, f(x), g(x), khan, CC_39336_F-IF_8", "ka_url": "http://www.khanacademy.org/video/functions--part-4", "duration": 367, "translated_title": "Functions (part 4)", "translated_description_html": "An example of a functions problem submitted by a youtube viewer", "id": "23510", "description_html": "An example of a functions problem submitted by a youtube viewer", "title": "Functions (part 4)", "progress_key": "v23510", "edit_slug": "edit/v/23510", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An example of a functions problem submitted by a youtube viewer", "extra_properties": null, "node_slug": "v/functions--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.m3u8/rbt51hXmzig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rbt51hXmzig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23510", "sha": "c3a005e45571cf288753cf09c1905308b5185be4", "translated_description": "An example of a functions problem submitted by a youtube viewer", "image_url": "https://img.youtube.com/vi/rbt51hXmzig/hqdefault.jpg", "youtube_id": "rbt51hXmzig", "content_kind": "Video", "readable_id": "functions--part-4"}], "twitter_url": "", "translated_description": "These oldie-but-maybe-goodies are the original function videos that Sal made years ago for his cousins. Despite the messy handwriting, some people claim that they like these better than the new ones (they claim that there is a certain charm to them). We'll let you decide.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "These oldie-but-maybe-goodies are the original function videos that Sal made years ago for his cousins. Despite the messy handwriting, some people claim that they like these better than the new ones (they claim that there is a certain charm to them). We'll let you decide.", "x_pos": 0.0, "node_slug": "classic-function-videos", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5bc6a739", "topic_page_url": "/math/algebra/algebra-functions/classic-function-videos", "extended_slug": "math/algebra/algebra-functions/classic-function-videos", "slug": "classic-function-videos", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bb8d81b63235fb7a21dfed92b4a4bf9094532b9d", "standalone_title": "Classic function videos", "y_pos": 0.0, "current_revision_key": "bb8d81b63235fb7a21dfed92b4a4bf9094532b9d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Identifying, solving, and graphing various types of functions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Identifying, solving, and graphing various types of functions.", "x_pos": -1.0, "node_slug": "algebra-functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T17:12:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe8002e2d", "topic_page_url": "/math/algebra/algebra-functions", "extended_slug": "math/algebra/algebra-functions", "slug": "algebra-functions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5ab4a27f3a3b4d549160f99a8e04a73aba990ddb", "standalone_title": "Functions", "y_pos": 39.0, "current_revision_key": "5ab4a27f3a3b4d549160f99a8e04a73aba990ddb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/ratio-proportion-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/ratio-proportion-topic", "translated_standalone_title": "Ratios and proportions", "translated_title": "Ratios and proportions", "gplus_url": "", "id": "xdd7aa21f", "old_key_name": null, "hide": false, "title": "Ratios and proportions", "child_data": [{"kind": "Topic", "id": "x5a6c0024"}, {"kind": "Topic", "id": "x400df6cf"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/ratio-proportion-topic/ratios_algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/ratio-proportion-topic/ratios_algebra", "translated_standalone_title": "Ratios and proportions", "translated_title": "Ratios and proportions", "gplus_url": "", "id": "x5a6c0024", "old_key_name": "kJK3TsJsEqSRV8ZGkoykGiDlo7N8gtQhmR7FgSP3", "hide": false, "title": "Ratios and proportions", "child_data": [{"kind": "Video", "id": 23466}, {"kind": "Video", "id": 211185145}, {"kind": "Exercise", "id": 201421177}, {"kind": "Video", "id": 153770146}, {"kind": "Video", "id": 153770142}, {"kind": "Exercise", "id": 554082156}, {"kind": "Video", "id": "x8802e219"}, {"kind": "Exercise", "id": 559639459}, {"kind": "Video", "id": "x87db4436"}, {"kind": "Exercise", "id": "xc131681e"}], "children": [{"translated_youtube_id": "ITVQrzDSekU", "relative_url": "/video/ratio-problem-with-basic-algebra--new-hd", "has_questions": false, "keywords": "ratio, algebra, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/ratio-problem-with-basic-algebra--new-hd", "duration": 312, "translated_title": "Ratio problem with basic algebra", "translated_description_html": "A slightly more involved ratio problem with algebra", "id": "23466", "description_html": "A slightly more involved ratio problem with algebra", "title": "Ratio problem with basic algebra", "progress_key": "v23466", "edit_slug": "edit/v/23466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A slightly more involved ratio problem with algebra", "extra_properties": null, "node_slug": "v/ratio-problem-with-basic-algebra--new-hd", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ITVQrzDSekU.mp4/ITVQrzDSekU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ITVQrzDSekU.mp4/ITVQrzDSekU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ITVQrzDSekU.m3u8/ITVQrzDSekU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ITVQrzDSekU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23466", "sha": "bc6bf19989a738dc60f97dee30f356d62e9a557f", "translated_description": "A slightly more involved ratio problem with algebra", "image_url": "https://img.youtube.com/vi/ITVQrzDSekU/hqdefault.jpg", "youtube_id": "ITVQrzDSekU", "content_kind": "Video", "readable_id": "ratio-problem-with-basic-algebra--new-hd"}, {"translated_youtube_id": "96ZEmUbnuU8", "relative_url": "/video/writing-proportions", "has_questions": false, "keywords": "algebra, math, proportions, ratios", "ka_url": "http://www.khanacademy.org/video/writing-proportions", "duration": 351, "translated_title": "Writing proportions", "translated_description_html": "Setting up proportions to solve a word problem", "id": "211185145", "description_html": "Setting up proportions to solve a word problem", "title": "Writing proportions", "progress_key": "v211185145", "edit_slug": "edit/v/211185145", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Setting up proportions to solve a word problem", "extra_properties": null, "node_slug": "v/writing-proportions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-24T10:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.m3u8/96ZEmUbnuU8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=96ZEmUbnuU8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211185145", "sha": "203e6f3559796874f812079f765e62c8337acf00", "translated_description": "Setting up proportions to solve a word problem", "image_url": "https://img.youtube.com/vi/96ZEmUbnuU8/hqdefault.jpg", "youtube_id": "96ZEmUbnuU8", "content_kind": "Video", "readable_id": "writing-proportions"}, {"translated_youtube_id": "GO5ajwbFqVQ", "relative_url": "/video/find-an-unknown-in-a-proportion", "has_questions": false, "keywords": "U04_L2_T1_we2, t2, Find, an, Unknown, in, Proportion, CC_7_RP_2", "ka_url": "http://www.khanacademy.org/video/find-an-unknown-in-a-proportion", "duration": 440, "translated_title": "Find an unknown in a proportion", "translated_description_html": "t2 Find an Unknown in a Proportion", "id": "153770146", "description_html": "t2 Find an Unknown in a Proportion", "title": "Find an unknown in a proportion", "progress_key": "v153770146", "edit_slug": "edit/v/153770146", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "t2 Find an Unknown in a Proportion", "extra_properties": null, "node_slug": "v/find-an-unknown-in-a-proportion", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GO5ajwbFqVQ.mp4/GO5ajwbFqVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GO5ajwbFqVQ.mp4/GO5ajwbFqVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GO5ajwbFqVQ.m3u8/GO5ajwbFqVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GO5ajwbFqVQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770146", "sha": "f7cc9b62545f1bb2a1c91fcb23b078ef13a018a5", "translated_description": "t2 Find an Unknown in a Proportion", "image_url": "https://img.youtube.com/vi/GO5ajwbFqVQ/hqdefault.jpg", "youtube_id": "GO5ajwbFqVQ", "content_kind": "Video", "readable_id": "find-an-unknown-in-a-proportion"}, {"translated_youtube_id": "4ywTWCaLmXE", "relative_url": "/video/find-an-unknown-in-a-proportion-2", "has_questions": false, "keywords": "U04_L2_T1_we3, t2, Find, an, Unknown, in, Proportion, CC_7_RP_2", "ka_url": "http://www.khanacademy.org/video/find-an-unknown-in-a-proportion-2", "duration": 348, "translated_title": "Find an unknown in a proportion 2", "translated_description_html": "t2 Find an Unknown in a Proportion 2", "id": "153770142", "description_html": "t2 Find an Unknown in a Proportion 2", "title": "Find an unknown in a proportion 2", "progress_key": "v153770142", "edit_slug": "edit/v/153770142", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "t2 Find an Unknown in a Proportion 2", "extra_properties": null, "node_slug": "v/find-an-unknown-in-a-proportion-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-15T23:27:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ywTWCaLmXE.mp4/4ywTWCaLmXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ywTWCaLmXE.mp4/4ywTWCaLmXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ywTWCaLmXE.m3u8/4ywTWCaLmXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4ywTWCaLmXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v153770142", "sha": "e9b843ff7ceaa8588e2895fc940d630ff48381fe", "translated_description": "t2 Find an Unknown in a Proportion 2", "image_url": "https://img.youtube.com/vi/4ywTWCaLmXE/hqdefault.jpg", "youtube_id": "4ywTWCaLmXE", "content_kind": "Video", "readable_id": "find-an-unknown-in-a-proportion-2"}, {"translated_youtube_id": "qzsR7cChujg", "relative_url": "/video/proportions-2-exercise-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/proportions-2-exercise-examples", "duration": 264, "translated_title": "Proportions 2 exercise examples", "translated_description_html": "", "id": "x8802e219", "description_html": "", "title": "Proportions 2 exercise examples", "progress_key": "vx8802e219", "edit_slug": "edit/v/x8802e219", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/proportions-2-exercise-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-12T21:48:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qzsR7cChujg.mp4/qzsR7cChujg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qzsR7cChujg.mp4/qzsR7cChujg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qzsR7cChujg.m3u8/qzsR7cChujg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qzsR7cChujg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8802e219", "sha": "01f0a4ddd56a777c129b16231086bc5854af5164", "translated_description": "", "image_url": "https://img.youtube.com/vi/qzsR7cChujg/hqdefault.jpg", "youtube_id": "qzsR7cChujg", "content_kind": "Video", "readable_id": "proportions-2-exercise-examples"}, {"translated_youtube_id": "AEKztz8ubSM", "relative_url": "/video/constructing-proportions-to-solve-application-problems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-proportions-to-solve-application-problems", "duration": 298, "translated_title": "Constructing proportions to solve application problems", "translated_description_html": "", "id": "x87db4436", "description_html": "", "title": "Constructing proportions to solve application problems", "progress_key": "vx87db4436", "edit_slug": "edit/v/x87db4436", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/constructing-proportions-to-solve-application-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T17:42:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.mp4/AEKztz8ubSM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.mp4/AEKztz8ubSM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AEKztz8ubSM.m3u8/AEKztz8ubSM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AEKztz8ubSM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx87db4436", "sha": "234b28f0691a20dd6e996d460b09c0ae6146d636", "translated_description": "", "image_url": "https://img.youtube.com/vi/AEKztz8ubSM/hqdefault.jpg", "youtube_id": "AEKztz8ubSM", "content_kind": "Video", "readable_id": "constructing-proportions-to-solve-application-problems"}], "twitter_url": "", "translated_description": "You remember a thing or two about ratios and proportions from you pre-algebra days. Well, how can we use these same ideas to solve problems in algebra.\n\nThis tutorial re-introduces ratios in an algebraic context and helps us solve some awesome problems!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You remember a thing or two about ratios and proportions from you pre-algebra days. Well, how can we use these same ideas to solve problems in algebra.\n\nThis tutorial re-introduces ratios in an algebraic context and helps us solve some awesome problems!", "x_pos": 0.0, "node_slug": "ratios_algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T20:38:04Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5a6c0024", "topic_page_url": "/math/algebra/ratio-proportion-topic/ratios_algebra", "extended_slug": "math/algebra/ratio-proportion-topic/ratios_algebra", "slug": "ratios_algebra", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "52d803bb0886eef9bc9092e45c6b898c73705d45", "standalone_title": "Ratios and proportions", "y_pos": 0.0, "current_revision_key": "52d803bb0886eef9bc9092e45c6b898c73705d45", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/ratio-proportion-topic/advanced-ratios", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/ratio-proportion-topic/advanced-ratios", "translated_standalone_title": "Advanced ratios and proportions", "translated_title": "Advanced ratios and proportions", "gplus_url": "", "id": "x400df6cf", "old_key_name": null, "hide": false, "title": "Advanced ratios and proportions", "child_data": [{"kind": "Video", "id": 294676192}, {"kind": "Video", "id": 23474}, {"kind": "Video", "id": 23468}, {"kind": "Video", "id": 124291563}, {"kind": "Video", "id": 23470}, {"kind": "Video", "id": 23622}], "children": [{"translated_youtube_id": "5zosU6XTgSY", "relative_url": "/video/the-golden-ratio", "has_questions": false, "keywords": "golden, mean, ratio, marquee", "ka_url": "http://www.khanacademy.org/video/the-golden-ratio", "duration": 882, "translated_title": "The golden ratio", "translated_description_html": "An introduction to one of the most amazing ideas/numbers in mathematics", "id": "294676192", "description_html": "An introduction to one of the most amazing ideas/numbers in mathematics", "title": "The golden ratio", "progress_key": "v294676192", "edit_slug": "edit/v/294676192", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to one of the most amazing ideas/numbers in mathematics", "extra_properties": null, "node_slug": "v/the-golden-ratio", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-06T10:02:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.m3u8/5zosU6XTgSY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5zosU6XTgSY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v294676192", "sha": "03799cd049581f27a130ad8d5b65542121af46da", "translated_description": "An introduction to one of the most amazing ideas/numbers in mathematics", "image_url": "https://img.youtube.com/vi/5zosU6XTgSY/hqdefault.jpg", "youtube_id": "5zosU6XTgSY", "content_kind": "Video", "readable_id": "the-golden-ratio"}, {"translated_youtube_id": "PASSD2OcU0c", "relative_url": "/video/advanced-ratio-problems", "has_questions": false, "keywords": "Ratios, Algebra, Math, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/advanced-ratio-problems", "duration": 597, "translated_title": "Advanced ratio problems", "translated_description_html": "More advanced ratio problems", "id": "23474", "description_html": "More advanced ratio problems", "title": "Advanced ratio problems", "progress_key": "v23474", "edit_slug": "edit/v/23474", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More advanced ratio problems", "extra_properties": null, "node_slug": "v/advanced-ratio-problems", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PASSD2OcU0c.mp4/PASSD2OcU0c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PASSD2OcU0c.mp4/PASSD2OcU0c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PASSD2OcU0c.m3u8/PASSD2OcU0c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PASSD2OcU0c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23474", "sha": "4b905dafd1ca822cf202350b043400f75f309183", "translated_description": "More advanced ratio problems", "image_url": "https://img.youtube.com/vi/PASSD2OcU0c/hqdefault.jpg", "youtube_id": "PASSD2OcU0c", "content_kind": "Video", "readable_id": "advanced-ratio-problems"}, {"translated_youtube_id": "ItA_hhRtUuw", "relative_url": "/video/more-advanced-ratio-problem--with-algebra--hd-version", "has_questions": false, "keywords": "ratio, ratios, algebra, CC_7_RP_3", "ka_url": "http://www.khanacademy.org/video/more-advanced-ratio-problem--with-algebra--hd-version", "duration": 598, "translated_title": "More advanced ratio problem with algebra", "translated_description_html": "More advance ratio problem with algebra.", "id": "23468", "description_html": "More advance ratio problem with algebra.", "title": "More advanced ratio problem with algebra", "progress_key": "v23468", "edit_slug": "edit/v/23468", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More advance ratio problem with algebra.", "extra_properties": null, "node_slug": "v/more-advanced-ratio-problem--with-algebra--hd-version", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ItA_hhRtUuw.mp4/ItA_hhRtUuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ItA_hhRtUuw.mp4/ItA_hhRtUuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ItA_hhRtUuw.m3u8/ItA_hhRtUuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ItA_hhRtUuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23468", "sha": "2ec2592938b73fcec87e20c5d22a049b5e61e85c", "translated_description": "More advance ratio problem with algebra.", "image_url": "https://img.youtube.com/vi/ItA_hhRtUuw/hqdefault.jpg", "youtube_id": "ItA_hhRtUuw", "content_kind": "Video", "readable_id": "more-advanced-ratio-problem--with-algebra--hd-version"}, {"translated_youtube_id": "hAy_bavEVCQ", "relative_url": "/video/another-take-on-the-rate-problem", "has_questions": false, "keywords": "u15_l2_t1_we3, Another, Take, on, the, Rate, Problem, CC_6_RP_3, CC_6_RP_3_b", "ka_url": "http://www.khanacademy.org/video/another-take-on-the-rate-problem", "duration": 215, "translated_title": "Another take on the rate problem", "translated_description_html": "Another Take on the Rate Problem", "id": "124291563", "description_html": "Another Take on the Rate Problem", "title": "Another take on the rate problem", "progress_key": "v124291563", "edit_slug": "edit/v/124291563", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another Take on the Rate Problem", "extra_properties": null, "node_slug": "v/another-take-on-the-rate-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hAy_bavEVCQ.mp4/hAy_bavEVCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hAy_bavEVCQ.mp4/hAy_bavEVCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hAy_bavEVCQ.m3u8/hAy_bavEVCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hAy_bavEVCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291563", "sha": "d484de93bcf6b446f3ea2655eefe1ebec78a8562", "translated_description": "Another Take on the Rate Problem", "image_url": "https://img.youtube.com/vi/hAy_bavEVCQ/hqdefault.jpg", "youtube_id": "hAy_bavEVCQ", "content_kind": "Video", "readable_id": "another-take-on-the-rate-problem"}, {"translated_youtube_id": "-xyTz0WZ1W4", "relative_url": "/video/alternate-solution-to-ratio-problem--hd-version", "has_questions": false, "keywords": "ratio, ratios, algebra", "ka_url": "http://www.khanacademy.org/video/alternate-solution-to-ratio-problem--hd-version", "duration": 422, "translated_title": "Alternate solution to ratio problem", "translated_description_html": "An alternate solution to the advanced ratio problem in the last video.", "id": "23470", "description_html": "An alternate solution to the advanced ratio problem in the last video.", "title": "Alternate solution to ratio problem", "progress_key": "v23470", "edit_slug": "edit/v/23470", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An alternate solution to the advanced ratio problem in the last video.", "extra_properties": null, "node_slug": "v/alternate-solution-to-ratio-problem--hd-version", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:27:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-xyTz0WZ1W4.mp4/-xyTz0WZ1W4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-xyTz0WZ1W4.mp4/-xyTz0WZ1W4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-xyTz0WZ1W4.m3u8/-xyTz0WZ1W4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-xyTz0WZ1W4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23470", "sha": "015944a62be3f92fe4afb9c4c9c5d59faabd6eaf", "translated_description": "An alternate solution to the advanced ratio problem in the last video.", "image_url": "https://img.youtube.com/vi/-xyTz0WZ1W4/hqdefault.jpg", "youtube_id": "-xyTz0WZ1W4", "content_kind": "Video", "readable_id": "alternate-solution-to-ratio-problem--hd-version"}, {"translated_youtube_id": "WfqgFBGet7s", "relative_url": "/video/ratio-and-proportion", "has_questions": false, "keywords": "Ratio, And, Proportion, CC_6_RP_3", "ka_url": "http://www.khanacademy.org/video/ratio-and-proportion", "duration": 625, "translated_title": "Mountain height word problem", "translated_description_html": "Using some basic algebra to solve what looks like a hairy word problem that involves proportions.", "id": "23622", "description_html": "Using some basic algebra to solve what looks like a hairy word problem that involves proportions.", "title": "Mountain height word problem", "progress_key": "v23622", "edit_slug": "edit/v/23622", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using some basic algebra to solve what looks like a hairy word problem that involves proportions.", "extra_properties": {"original_url": ""}, "node_slug": "v/ratio-and-proportion", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WfqgFBGet7s.mp4/WfqgFBGet7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WfqgFBGet7s.mp4/WfqgFBGet7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WfqgFBGet7s.m3u8/WfqgFBGet7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WfqgFBGet7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23622", "sha": "992431821262da04cdce2bc211f05264625b60ba", "translated_description": "Using some basic algebra to solve what looks like a hairy word problem that involves proportions.", "image_url": "https://img.youtube.com/vi/WfqgFBGet7s/hqdefault.jpg", "youtube_id": "WfqgFBGet7s", "content_kind": "Video", "readable_id": "ratio-and-proportion"}], "twitter_url": "", "translated_description": "In this tutorial, we will explore more advanced examples involving ratios and proportions.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we will explore more advanced examples involving ratios and proportions.", "x_pos": 0.0, "node_slug": "advanced-ratios", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T20:38:04Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax400df6cf", "topic_page_url": "/math/algebra/ratio-proportion-topic/advanced-ratios", "extended_slug": "math/algebra/ratio-proportion-topic/advanced-ratios", "slug": "advanced-ratios", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "90df2a3a36cb4ebeb179d1ae8b50bbb9715d3481", "standalone_title": "Advanced ratios and proportions", "y_pos": 0.0, "current_revision_key": "90df2a3a36cb4ebeb179d1ae8b50bbb9715d3481", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "What ratios and proportions are. Using them to solve problems in the real world.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What ratios and proportions are. Using them to solve problems in the real world.", "x_pos": 0.0, "node_slug": "ratio-proportion-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T20:38:04Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd7aa21f", "topic_page_url": "/math/algebra/ratio-proportion-topic", "extended_slug": "math/algebra/ratio-proportion-topic", "slug": "ratio-proportion-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a392b7de0a39ce8c579ed7c6582819ebfb222964", "standalone_title": "Ratios and proportions", "y_pos": 0.0, "current_revision_key": "a392b7de0a39ce8c579ed7c6582819ebfb222964", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/rates-and-ratios-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions", "translated_standalone_title": "Rational expressions", "translated_title": "Rational expressions", "gplus_url": "", "id": "x7db461ca", "old_key_name": "N9I-7BvTgT6yidXG6MAr_bMhnKc2R6K-Xs14UWcP", "hide": false, "title": "Rational expressions", "child_data": [{"kind": "Topic", "id": "x1001e778"}, {"kind": "Topic", "id": "xafd22e81"}, {"kind": "Topic", "id": "x8b41e49f"}, {"kind": "Topic", "id": "x5360b008"}, {"kind": "Topic", "id": "x6340bb2e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions/simplifying-rational-alg", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions/simplifying-rational-alg", "translated_standalone_title": "Simplifying rational expressions", "translated_title": "Simplifying rational expressions", "gplus_url": "", "id": "x1001e778", "old_key_name": "E4wLhapHEAKaCuHCWUDkT5fJyLubMUhsCLDP5iuA", "hide": false, "title": "Simplifying rational expressions", "child_data": [{"kind": "Video", "id": 23782}, {"kind": "Video", "id": 8187340}, {"kind": "Exercise", "id": 1383621484}, {"kind": "Video", "id": 27012}, {"kind": "Exercise", "id": 1383594465}, {"kind": "Exercise", "id": 1439997121}, {"kind": "Video", "id": 27013}, {"kind": "Video", "id": 124284695}, {"kind": "Exercise", "id": 1383704155}, {"kind": "Exercise", "id": 1439634833}, {"kind": "Exercise", "id": "xa21682a1"}], "children": [{"translated_youtube_id": "7Uos1ED3KHI", "relative_url": "/video/simplifying-rational-expressions-introduction", "has_questions": false, "keywords": "Simplifying, Rational, Expressions", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-introduction", "duration": 922, "translated_title": "Simplifying rational expressions introduction", "translated_description_html": "Simplifying Rational Expressions", "id": "23782", "description_html": "Simplifying Rational Expressions", "title": "Simplifying rational expressions introduction", "progress_key": "v23782", "edit_slug": "edit/v/23782", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Rational Expressions", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.mp4/7Uos1ED3KHI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.mp4/7Uos1ED3KHI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.m3u8/7Uos1ED3KHI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7Uos1ED3KHI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23782", "sha": "eb45e2fda03f1aa42733ce64ae5f786cf2a21d89", "translated_description": "Simplifying Rational Expressions", "image_url": "https://img.youtube.com/vi/7Uos1ED3KHI/hqdefault.jpg", "youtube_id": "7Uos1ED3KHI", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-introduction"}, {"translated_youtube_id": "XChok8XlF90", "relative_url": "/video/simplifying-rational-expressions-1", "has_questions": false, "keywords": "U11_L1_T1_we1, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-1", "duration": 251, "translated_title": "Simplifying rational expressions 1", "translated_description_html": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "id": "8187340", "description_html": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "title": "Simplifying rational expressions 1", "progress_key": "v8187340", "edit_slug": "edit/v/8187340", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.mp4/XChok8XlF90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.mp4/XChok8XlF90.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.m3u8/XChok8XlF90.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XChok8XlF90&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v8187340", "sha": "178de0dba85a5308394f8390ed5f79dbbbcff0d4", "translated_description": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "image_url": "https://img.youtube.com/vi/XChok8XlF90/hqdefault.jpg", "youtube_id": "XChok8XlF90", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-1"}, {"translated_youtube_id": "dstNU7It-Ro", "relative_url": "/video/simplifying-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T1_we2, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-2", "duration": 402, "translated_title": "Simplifying rational expressions 2", "translated_description_html": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "id": "27012", "description_html": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "title": "Simplifying rational expressions 2", "progress_key": "v27012", "edit_slug": "edit/v/27012", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.mp4/dstNU7It-Ro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.mp4/dstNU7It-Ro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.m3u8/dstNU7It-Ro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dstNU7It-Ro&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27012", "sha": "52920d773f5c78432ac5ab00bf82b1c5c2df7e9d", "translated_description": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "image_url": "https://img.youtube.com/vi/dstNU7It-Ro/hqdefault.jpg", "youtube_id": "dstNU7It-Ro", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-2"}, {"translated_youtube_id": "ey_b3aPsRl8", "relative_url": "/video/simplifying-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T1_we3, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2, CC_39336_F-IF_2, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-3", "duration": 233, "translated_title": "Simplifying rational expressions 3", "translated_description_html": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "id": "27013", "description_html": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "title": "Simplifying rational expressions 3", "progress_key": "v27013", "edit_slug": "edit/v/27013", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.mp4/ey_b3aPsRl8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.mp4/ey_b3aPsRl8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.m3u8/ey_b3aPsRl8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ey_b3aPsRl8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27013", "sha": "e9eccdc1a4fdd76a1ef170799dc00f3c0626a8ac", "translated_description": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "image_url": "https://img.youtube.com/vi/ey_b3aPsRl8/hqdefault.jpg", "youtube_id": "ey_b3aPsRl8", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-3"}, {"translated_youtube_id": "RXMSlFtJlEs", "relative_url": "/video/simplifying-rational-expressions-example-2", "has_questions": false, "keywords": "u15_L1_T1_we2, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-REI_4_b, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-example-2", "duration": 481, "translated_title": "Simplifying rational expressions example 2", "translated_description_html": "u15_L1_T1_we2 Simplifying Rational Expressions", "id": "124284695", "description_html": "u15_L1_T1_we2 Simplifying Rational Expressions", "title": "Simplifying rational expressions example 2", "progress_key": "v124284695", "edit_slug": "edit/v/124284695", "author_names": [], "deleted_mod_time": "2013-08-13T01:22:34Z", "description": "u15_L1_T1_we2 Simplifying Rational Expressions", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RXMSlFtJlEs.mp4/RXMSlFtJlEs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RXMSlFtJlEs.mp4/RXMSlFtJlEs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RXMSlFtJlEs.m3u8/RXMSlFtJlEs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RXMSlFtJlEs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v124284695", "sha": "8a383bae2e3e9876faa54b9771a750f0c4f67a86", "translated_description": "u15_L1_T1_we2 Simplifying Rational Expressions", "image_url": "https://img.youtube.com/vi/RXMSlFtJlEs/hqdefault.jpg", "youtube_id": "RXMSlFtJlEs", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-example-2"}], "twitter_url": "", "translated_description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", "x_pos": 0.0, "node_slug": "simplifying-rational-alg", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T01:26:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1001e778", "topic_page_url": "/math/algebra/rational-expressions/simplifying-rational-alg", "extended_slug": "math/algebra/rational-expressions/simplifying-rational-alg", "slug": "simplifying-rational-alg", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "494d0f1a743c165bf036a229a9be2d9b5ae56213", "standalone_title": "Simplifying rational expressions", "y_pos": 0.0, "current_revision_key": "494d0f1a743c165bf036a229a9be2d9b5ae56213", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions/rational_expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions/rational_expressions", "translated_standalone_title": "Rational expressions and equations", "translated_title": "Rational expressions and equations", "gplus_url": "", "id": "xafd22e81", "old_key_name": "8w_zLoMbozALhaJ4FaUhT1GG3e8cII_aFF6gJ0SV", "hide": false, "title": "Rational expressions and equations", "child_data": [{"kind": "Video", "id": 124291566}, {"kind": "Video", "id": 27018}, {"kind": "Video", "id": 27019}, {"kind": "Video", "id": 124291557}, {"kind": "Video", "id": 124291555}, {"kind": "Exercise", "id": "x9503c938"}, {"kind": "Exercise", "id": "xd387e694"}, {"kind": "Exercise", "id": "x221c8e4b"}, {"kind": "Exercise", "id": "x943cdb91"}, {"kind": "Exercise", "id": "xc29f759e"}, {"kind": "Video", "id": 124284694}, {"kind": "Video", "id": 27014}, {"kind": "Video", "id": 27015}, {"kind": "Video", "id": 27016}, {"kind": "Exercise", "id": "xab9b59a7"}, {"kind": "Exercise", "id": "x47b9a454"}, {"kind": "Exercise", "id": "x1988fae7"}, {"kind": "Exercise", "id": "xa123def9"}, {"kind": "Exercise", "id": "xfb81a970"}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 127771045}], "children": [{"translated_youtube_id": "y_DweTAEYWk", "relative_url": "/video/adding-and-subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we4, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions", "duration": 495, "translated_title": "Adding and subtracting rational expressions", "translated_description_html": "Adding and Subtracting Rational Expressions", "id": "124291566", "description_html": "Adding and Subtracting Rational Expressions", "title": "Adding and subtracting rational expressions", "progress_key": "v124291566", "edit_slug": "edit/v/124291566", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.m3u8/y_DweTAEYWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y_DweTAEYWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291566", "sha": "b87e8df27f142bb0bfbe48d9fad2ab004e62291d", "translated_description": "Adding and Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/y_DweTAEYWk/hqdefault.jpg", "youtube_id": "y_DweTAEYWk", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions"}, {"translated_youtube_id": "3tmFTHOP6Pc", "relative_url": "/video/adding-and-subtracting-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T3_we2, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-2", "duration": 176, "translated_title": "Adding and subtracting rational expressions 2", "translated_description_html": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "id": "27018", "description_html": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "title": "Adding and subtracting rational expressions 2", "progress_key": "v27018", "edit_slug": "edit/v/27018", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.m3u8/3tmFTHOP6Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tmFTHOP6Pc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27018", "sha": "5d03a54a529966b991b603778edc3a4c6fb0a82a", "translated_description": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "image_url": "https://img.youtube.com/vi/3tmFTHOP6Pc/hqdefault.jpg", "youtube_id": "3tmFTHOP6Pc", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions-2"}, {"translated_youtube_id": "IKsi-DQU2zo", "relative_url": "/video/adding-and-subtracting-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T3_we3, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-3", "duration": 276, "translated_title": "Adding and subtracting rational expressions 3", "translated_description_html": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "id": "27019", "description_html": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "title": "Adding and subtracting rational expressions 3", "progress_key": "v27019", "edit_slug": "edit/v/27019", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.m3u8/IKsi-DQU2zo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IKsi-DQU2zo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27019", "sha": "cd5777b1200801e9806c893032e166b32973d583", "translated_description": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "image_url": "https://img.youtube.com/vi/IKsi-DQU2zo/hqdefault.jpg", "youtube_id": "IKsi-DQU2zo", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions-3"}, {"translated_youtube_id": "YO_SwIKGMqQ", "relative_url": "/video/subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we3, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/subtracting-rational-expressions", "duration": 335, "translated_title": "Subtracting rational expressions", "translated_description_html": "Subtracting Rational Expressions", "id": "124291557", "description_html": "Subtracting Rational Expressions", "title": "Subtracting rational expressions", "progress_key": "v124291557", "edit_slug": "edit/v/124291557", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.m3u8/YO_SwIKGMqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YO_SwIKGMqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291557", "sha": "2f392f76525715ebfe252fcf7b5b895c77246839", "translated_description": "Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/YO_SwIKGMqQ/hqdefault.jpg", "youtube_id": "YO_SwIKGMqQ", "content_kind": "Video", "readable_id": "subtracting-rational-expressions"}, {"translated_youtube_id": "tmpa8Q240XY", "relative_url": "/video/simplifying-first-for-subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we3, Simplifying, First, for, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/simplifying-first-for-subtracting-rational-expressions", "duration": 172, "translated_title": "Simplifying first for subtracting rational expressions", "translated_description_html": "Simplifying First for Subtracting Rational Expressions", "id": "124291555", "description_html": "Simplifying First for Subtracting Rational Expressions", "title": "Simplifying first for subtracting rational expressions", "progress_key": "v124291555", "edit_slug": "edit/v/124291555", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simplifying First for Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/simplifying-first-for-subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tmpa8Q240XY.mp4/tmpa8Q240XY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tmpa8Q240XY.mp4/tmpa8Q240XY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tmpa8Q240XY.m3u8/tmpa8Q240XY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tmpa8Q240XY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291555", "sha": "4d748e4ffd956c0ab14ca9c1585ad44ca2d42585", "translated_description": "Simplifying First for Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/tmpa8Q240XY/hqdefault.jpg", "youtube_id": "tmpa8Q240XY", "content_kind": "Video", "readable_id": "simplifying-first-for-subtracting-rational-expressions"}, {"translated_youtube_id": "x6FFjiHPlSI", "relative_url": "/video/multiplying-and-simplifying-rational-expressions", "has_questions": false, "keywords": "u15_l1_t2_we1, Multiplying, and, Simplifying, Rational, Expressions, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/multiplying-and-simplifying-rational-expressions", "duration": 305, "translated_title": "Multiplying and simplifying rational expressions", "translated_description_html": "Multiplying and Simplifying Rational Expressions", "id": "124284694", "description_html": "Multiplying and Simplifying Rational Expressions", "title": "Multiplying and simplifying rational expressions", "progress_key": "v124284694", "edit_slug": "edit/v/124284694", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Simplifying Rational Expressions", "extra_properties": null, "node_slug": "v/multiplying-and-simplifying-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.mp4/x6FFjiHPlSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.mp4/x6FFjiHPlSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.m3u8/x6FFjiHPlSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x6FFjiHPlSI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124284694", "sha": "b409068c85aa8073c7ff442b51666c57eb78607c", "translated_description": "Multiplying and Simplifying Rational Expressions", "image_url": "https://img.youtube.com/vi/x6FFjiHPlSI/hqdefault.jpg", "youtube_id": "x6FFjiHPlSI", "content_kind": "Video", "readable_id": "multiplying-and-simplifying-rational-expressions"}, {"translated_youtube_id": "3GL69IA2q4s", "relative_url": "/video/multiplying-and-dividing-rational-expressions-1", "has_questions": false, "keywords": "U11_L1_T2_we1, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_7, CC_39336_F-IF_2", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-1", "duration": 218, "translated_title": "Multiplying and dividing rational expressions 1", "translated_description_html": "Multiplying and Dividing Rational Expressions 1", "id": "27014", "description_html": "Multiplying and Dividing Rational Expressions 1", "title": "Multiplying and dividing rational expressions 1", "progress_key": "v27014", "edit_slug": "edit/v/27014", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 1", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-rational-expressions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.mp4/3GL69IA2q4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.mp4/3GL69IA2q4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.m3u8/3GL69IA2q4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3GL69IA2q4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27014", "sha": "b2801773e0787fbe28790cc2ea4c11e0340f31ea", "translated_description": "Multiplying and Dividing Rational Expressions 1", "image_url": "https://img.youtube.com/vi/3GL69IA2q4s/hqdefault.jpg", "youtube_id": "3GL69IA2q4s", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-1"}, {"translated_youtube_id": "f-wz_ZzSDdg", "relative_url": "/video/multiplying-and-dividing-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T2_we2, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-2", "duration": 292, "translated_title": "Multiplying and dividing rational expressions 2", "translated_description_html": "Multiplying and Dividing Rational Expressions 2", "id": "27015", "description_html": "Multiplying and Dividing Rational Expressions 2", "title": "Multiplying and dividing rational expressions 2", "progress_key": "v27015", "edit_slug": "edit/v/27015", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 2", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.mp4/f-wz_ZzSDdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.mp4/f-wz_ZzSDdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.m3u8/f-wz_ZzSDdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f-wz_ZzSDdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27015", "sha": "73c470158506d19a3838216c28324da43e06d954", "translated_description": "Multiplying and Dividing Rational Expressions 2", "image_url": "https://img.youtube.com/vi/f-wz_ZzSDdg/hqdefault.jpg", "youtube_id": "f-wz_ZzSDdg", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-2"}, {"translated_youtube_id": "gcnk8TnzsLc", "relative_url": "/video/multiplying-and-dividing-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T2_we3.1, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-3", "duration": 250, "translated_title": "Multiplying and dividing rational expressions 3", "translated_description_html": "

Multiplying and Dividing Rational Expressions 3<\/p>\n", "id": "27016", "description_html": "

Multiplying and Dividing Rational Expressions 3<\/p>\n", "title": "Multiplying and dividing rational expressions 3", "progress_key": "v27016", "edit_slug": "edit/v/27016", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 3\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-and-dividing-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.m3u8/gcnk8TnzsLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gcnk8TnzsLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27016", "sha": "fbe6bb74b0131732b1975dea23ddbfc0179cb893", "translated_description": "Multiplying and Dividing Rational Expressions 3\n", "image_url": "https://img.youtube.com/vi/gcnk8TnzsLc/hqdefault.jpg", "youtube_id": "gcnk8TnzsLc", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-3"}, {"translated_youtube_id": "Z3db5itCIiQ", "relative_url": "/video/rationalizing-denominators-of-expressions", "has_questions": false, "keywords": "u16_l2_t4_we1, Rationalizing, Denominators, of, Expressions", "ka_url": "http://www.khanacademy.org/video/rationalizing-denominators-of-expressions", "duration": 298, "translated_title": "Rationalizing denominators of expressions", "translated_description_html": "Rationalizing Denominators of Expressions", "id": "127771045", "description_html": "Rationalizing Denominators of Expressions", "title": "Rationalizing denominators of expressions", "progress_key": "v127771045", "edit_slug": "edit/v/127771045", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rationalizing Denominators of Expressions", "extra_properties": null, "node_slug": "v/rationalizing-denominators-of-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-24T23:28:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z3db5itCIiQ.mp4/Z3db5itCIiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z3db5itCIiQ.mp4/Z3db5itCIiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z3db5itCIiQ.m3u8/Z3db5itCIiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z3db5itCIiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v127771045", "sha": "21838fa927148f0497d8194019483c48c1f99e8e", "translated_description": "Rationalizing Denominators of Expressions", "image_url": "https://img.youtube.com/vi/Z3db5itCIiQ/hqdefault.jpg", "youtube_id": "Z3db5itCIiQ", "content_kind": "Video", "readable_id": "rationalizing-denominators-of-expressions"}], "twitter_url": "", "translated_description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?\n\nWell, rational expressions are just algebraic expressions formed by dividing one expression by another. We get a rational equation if we set that equal to something else. In this tutorial, we work through examples to understand and apply rational expressions and equations.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?\n\nWell, rational expressions are just algebraic expressions formed by dividing one expression by another. We get a rational equation if we set that equal to something else. In this tutorial, we work through examples to understand and apply rational expressions and equations.", "x_pos": 0.0, "node_slug": "rational_expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T01:26:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axafd22e81", "topic_page_url": "/math/algebra/rational-expressions/rational_expressions", "extended_slug": "math/algebra/rational-expressions/rational_expressions", "slug": "rational_expressions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "10f544d6b170a36bfb095f256c18f43b86b59318", "standalone_title": "Rational expressions and equations", "y_pos": 0.0, "current_revision_key": "10f544d6b170a36bfb095f256c18f43b86b59318", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions/rational-function-graphing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions/rational-function-graphing", "translated_standalone_title": "Graphing rational functions", "translated_title": "Graphing rational functions", "gplus_url": "", "id": "x8b41e49f", "old_key_name": "oy3a7xPQ00K3SbvjNoDLX-TKus_qRd1rWzkJsZry", "hide": false, "title": "Graphing rational functions", "child_data": [{"kind": "Video", "id": 23774}, {"kind": "Video", "id": 23776}, {"kind": "Video", "id": 23778}], "children": [{"translated_youtube_id": "2N62v_63SBo", "relative_url": "/video/asymptotes-of-rational-functions", "has_questions": false, "keywords": "Asymptotes, of, Rational, Functions, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/asymptotes-of-rational-functions", "duration": 1266, "translated_title": "Asymptotes of rational functions", "translated_description_html": "Asymptotes of Rational Functions", "id": "23774", "description_html": "Asymptotes of Rational Functions", "title": "Asymptotes of rational functions", "progress_key": "v23774", "edit_slug": "edit/v/23774", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Asymptotes of Rational Functions", "extra_properties": null, "node_slug": "v/asymptotes-of-rational-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.m3u8/2N62v_63SBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2N62v_63SBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23774", "sha": "0312a8535ab5137fc1785ac8d27d725ef5c356b7", "translated_description": "Asymptotes of Rational Functions", "image_url": "https://img.youtube.com/vi/2N62v_63SBo/hqdefault.jpg", "youtube_id": "2N62v_63SBo", "content_kind": "Video", "readable_id": "asymptotes-of-rational-functions"}, {"translated_youtube_id": "ReEMqdZEEX0", "relative_url": "/video/another-rational-function-graph-example", "has_questions": false, "keywords": "Another, Rational, Function, Graph, Example, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/another-rational-function-graph-example", "duration": 500, "translated_title": "Another rational function graph example", "translated_description_html": "Another Rational Function Graph Example", "id": "23776", "description_html": "Another Rational Function Graph Example", "title": "Another rational function graph example", "progress_key": "v23776", "edit_slug": "edit/v/23776", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another Rational Function Graph Example", "extra_properties": null, "node_slug": "v/another-rational-function-graph-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.m3u8/ReEMqdZEEX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ReEMqdZEEX0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23776", "sha": "a7964f6b6cddc7074fc234f60a1fbbfc9ee66852", "translated_description": "Another Rational Function Graph Example", "image_url": "https://img.youtube.com/vi/ReEMqdZEEX0/hqdefault.jpg", "youtube_id": "ReEMqdZEEX0", "content_kind": "Video", "readable_id": "another-rational-function-graph-example"}, {"translated_youtube_id": "p7ycTWq6BFk", "relative_url": "/video/a-third-example-of-graphing-a-rational-function", "has_questions": false, "keywords": "Third, Example, of, Graphing, Rational, Function, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/a-third-example-of-graphing-a-rational-function", "duration": 691, "translated_title": "A third example of graphing a rational function", "translated_description_html": "A Third Example of Graphing a Rational Function", "id": "23778", "description_html": "A Third Example of Graphing a Rational Function", "title": "A third example of graphing a rational function", "progress_key": "v23778", "edit_slug": "edit/v/23778", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A Third Example of Graphing a Rational Function", "extra_properties": null, "node_slug": "v/a-third-example-of-graphing-a-rational-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.mp4/p7ycTWq6BFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.mp4/p7ycTWq6BFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.m3u8/p7ycTWq6BFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p7ycTWq6BFk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23778", "sha": "54182c8a28f38ac2c11a06bc349ec1555f065506", "translated_description": "A Third Example of Graphing a Rational Function", "image_url": "https://img.youtube.com/vi/p7ycTWq6BFk/hqdefault.jpg", "youtube_id": "p7ycTWq6BFk", "content_kind": "Video", "readable_id": "a-third-example-of-graphing-a-rational-function"}], "twitter_url": "", "translated_description": "Rational functions are often not defined at certain points and have very interesting behavior has the input variable becomes very large in magnitude. This tutorial explores how to graph these functions, paying attention to these special features. We'll talk a lot about vertical and horizontal asymptotes.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Rational functions are often not defined at certain points and have very interesting behavior has the input variable becomes very large in magnitude. This tutorial explores how to graph these functions, paying attention to these special features. We'll talk a lot about vertical and horizontal asymptotes.", "x_pos": 0.0, "node_slug": "rational-function-graphing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8b41e49f", "topic_page_url": "/math/algebra/rational-expressions/rational-function-graphing", "extended_slug": "math/algebra/rational-expressions/rational-function-graphing", "slug": "rational-function-graphing", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "664fc965ff3cf8edfb677a75c065fb575d3ab16f", "standalone_title": "Graphing rational functions", "y_pos": 0.0, "current_revision_key": "664fc965ff3cf8edfb677a75c065fb575d3ab16f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions/partial-fraction-expan-alg", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions/partial-fraction-expan-alg", "translated_standalone_title": "Paritial fraction expansion", "translated_title": "Partial fraction expansion", "gplus_url": "", "id": "x5360b008", "old_key_name": "iOG18vV71Z_rCbpUF5cw8zOcUTZ5SwkQYul7yDta", "hide": false, "title": "Partial fraction expansion", "child_data": [{"kind": "Video", "id": 23546}, {"kind": "Video", "id": 23548}, {"kind": "Video", "id": 23550}, {"kind": "Exercise", "id": 1439947130}], "children": [{"translated_youtube_id": "S-XKGBesRzk", "relative_url": "/video/partial-fraction-expansion-1", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-1", "duration": 688, "translated_title": "Partial fraction expansion 1", "translated_description_html": "Introduction to partial fraction expansion", "id": "23546", "description_html": "Introduction to partial fraction expansion", "title": "Partial fraction expansion 1", "progress_key": "v23546", "edit_slug": "edit/v/23546", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to partial fraction expansion", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.mp4/S-XKGBesRzk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.mp4/S-XKGBesRzk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.m3u8/S-XKGBesRzk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S-XKGBesRzk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23546", "sha": "07cf666f7e106cce430b6f73295ca2fe272eb893", "translated_description": "Introduction to partial fraction expansion", "image_url": "https://img.youtube.com/vi/S-XKGBesRzk/hqdefault.jpg", "youtube_id": "S-XKGBesRzk", "content_kind": "Video", "readable_id": "partial-fraction-expansion-1"}, {"translated_youtube_id": "6FrPLJY0rqM", "relative_url": "/video/partial-fraction-expansion-2", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-2", "duration": 782, "translated_title": "Partial fraction expansion 2", "translated_description_html": "A more complex problem", "id": "23548", "description_html": "A more complex problem", "title": "Partial fraction expansion 2", "progress_key": "v23548", "edit_slug": "edit/v/23548", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A more complex problem", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.mp4/6FrPLJY0rqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.mp4/6FrPLJY0rqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.m3u8/6FrPLJY0rqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6FrPLJY0rqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23548", "sha": "b5b4a0e960580872cf0ae5d717f2e5d0561a7eaa", "translated_description": "A more complex problem", "image_url": "https://img.youtube.com/vi/6FrPLJY0rqM/hqdefault.jpg", "youtube_id": "6FrPLJY0rqM", "content_kind": "Video", "readable_id": "partial-fraction-expansion-2"}, {"translated_youtube_id": "A52fEdPn9lg", "relative_url": "/video/partial-fraction-expansion-3", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-3", "duration": 635, "translated_title": "Partial fraction expansion 3", "translated_description_html": "Dealing with repeated factors", "id": "23550", "description_html": "Dealing with repeated factors", "title": "Partial fraction expansion 3", "progress_key": "v23550", "edit_slug": "edit/v/23550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dealing with repeated factors", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.mp4/A52fEdPn9lg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.mp4/A52fEdPn9lg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.m3u8/A52fEdPn9lg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A52fEdPn9lg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23550", "sha": "8db1e5541f1275930cc8ebd8aafc65b4e45b93ce", "translated_description": "Dealing with repeated factors", "image_url": "https://img.youtube.com/vi/A52fEdPn9lg/hqdefault.jpg", "youtube_id": "A52fEdPn9lg", "content_kind": "Video", "readable_id": "partial-fraction-expansion-3"}], "twitter_url": "", "translated_description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.", "x_pos": 0.0, "node_slug": "partial-fraction-expan-alg", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5360b008", "topic_page_url": "/math/algebra/rational-expressions/partial-fraction-expan-alg", "extended_slug": "math/algebra/rational-expressions/partial-fraction-expan-alg", "slug": "partial-fraction-expan-alg", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9f038dbbb8c5920432e40f780857134dcc58b0cf", "standalone_title": "Paritial fraction expansion", "y_pos": 0.0, "current_revision_key": "9f038dbbb8c5920432e40f780857134dcc58b0cf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/rational-expressions/solving-rational-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/rational-expressions/solving-rational-equations", "translated_standalone_title": "Solving rational equations", "translated_title": "Solving rational equations", "gplus_url": "", "id": "x6340bb2e", "old_key_name": null, "hide": false, "title": "Solving rational equations", "child_data": [{"kind": "Video", "id": 1242890488}, {"kind": "Exercise", "id": 3013}, {"kind": "Video", "id": 124291561}, {"kind": "Video", "id": 27020}, {"kind": "Video", "id": 27021}, {"kind": "Video", "id": 27022}, {"kind": "Video", "id": 8187347}, {"kind": "Video", "id": 27075}, {"kind": "Video", "id": 27076}, {"kind": "Exercise", "id": "x225e3ab6"}, {"kind": "Video", "id": 124291568}, {"kind": "Exercise", "id": "x9b4168f9"}, {"kind": "Video", "id": 23568}, {"kind": "Video", "id": 23570}], "children": [{"translated_youtube_id": "PPvd4X3Wv5I", "relative_url": "/video/ex-1-multi-step-equation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ex-1-multi-step-equation", "duration": 191, "translated_title": "Ex 1: Multi step equation", "translated_description_html": "Turning a rational equation into a linear equation.", "id": "1242890488", "description_html": "Turning a rational equation into a linear equation.", "title": "Ex 1: Multi step equation", "progress_key": "v1242890488", "edit_slug": "edit/v/1242890488", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Turning a rational equation into a linear equation.", "extra_properties": null, "node_slug": "v/ex-1-multi-step-equation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-20T22:44:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PPvd4X3Wv5I.mp4/PPvd4X3Wv5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PPvd4X3Wv5I.mp4/PPvd4X3Wv5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PPvd4X3Wv5I.m3u8/PPvd4X3Wv5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PPvd4X3Wv5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242890488", "sha": "f6fd0738e3edae4a0aca5ddb26b41019c2e297f7", "translated_description": "Turning a rational equation into a linear equation.", "image_url": "https://img.youtube.com/vi/PPvd4X3Wv5I/hqdefault.jpg", "youtube_id": "PPvd4X3Wv5I", "content_kind": "Video", "readable_id": "ex-1-multi-step-equation"}, {"translated_youtube_id": "bRwJ-QCz9XU", "relative_url": "/video/rational-equations", "has_questions": false, "keywords": "u15_l2_t1_we1, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/rational-equations", "duration": 256, "translated_title": "Rational equations", "translated_description_html": "

Rational Equations<\/p>", "id": "124291561", "description_html": "

Rational Equations<\/p>", "title": "Rational equations", "progress_key": "v124291561", "edit_slug": "edit/v/124291561", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rational Equations", "extra_properties": {}, "node_slug": "v/rational-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.m3u8/bRwJ-QCz9XU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bRwJ-QCz9XU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291561", "sha": "fe980c587232027780b77229f5ed17d437b7cc7b", "translated_description": "Rational Equations", "image_url": "https://img.youtube.com/vi/bRwJ-QCz9XU/hqdefault.jpg", "youtube_id": "bRwJ-QCz9XU", "content_kind": "Video", "readable_id": "rational-equations"}, {"translated_youtube_id": "Yaeze9u6Cv8", "relative_url": "/video/solving-rational-equations-1", "has_questions": false, "keywords": "U11_L2_T1_we1, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-1", "duration": 252, "translated_title": "Solving rational equations 1", "translated_description_html": "

Solving Rational Equations 1<\/p>", "id": "27020", "description_html": "

Solving Rational Equations 1<\/p>", "title": "Solving rational equations 1", "progress_key": "v27020", "edit_slug": "edit/v/27020", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 1", "extra_properties": {}, "node_slug": "v/solving-rational-equations-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.mp4/Yaeze9u6Cv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.mp4/Yaeze9u6Cv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.m3u8/Yaeze9u6Cv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yaeze9u6Cv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27020", "sha": "626aadc1325085aaa42994e2982b4b0e4a91d80b", "translated_description": "Solving Rational Equations 1", "image_url": "https://img.youtube.com/vi/Yaeze9u6Cv8/hqdefault.jpg", "youtube_id": "Yaeze9u6Cv8", "content_kind": "Video", "readable_id": "solving-rational-equations-1"}, {"translated_youtube_id": "RdYA8ZpqdJE", "relative_url": "/video/solving-rational-equations-2", "has_questions": false, "keywords": "U11_L2_T1_we2, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-2", "duration": 248, "translated_title": "Solving rational equations 2", "translated_description_html": "

Solving Rational Equations 2<\/p>", "id": "27021", "description_html": "

Solving Rational Equations 2<\/p>", "title": "Solving rational equations 2", "progress_key": "v27021", "edit_slug": "edit/v/27021", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 2", "extra_properties": {}, "node_slug": "v/solving-rational-equations-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.mp4/RdYA8ZpqdJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.mp4/RdYA8ZpqdJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.m3u8/RdYA8ZpqdJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RdYA8ZpqdJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27021", "sha": "0e2c2069ba388241e31144a021835bee4ccc9fd7", "translated_description": "Solving Rational Equations 2", "image_url": "https://img.youtube.com/vi/RdYA8ZpqdJE/hqdefault.jpg", "youtube_id": "RdYA8ZpqdJE", "content_kind": "Video", "readable_id": "solving-rational-equations-2"}, {"translated_youtube_id": "5wUJLMWZ5Fw", "relative_url": "/video/solving-rational-equations-3", "has_questions": false, "keywords": "U11_L2_T1_we3, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-3", "duration": 272, "translated_title": "Solving rational equations 3", "translated_description_html": "

Solving Rational Equations 3<\/p>", "id": "27022", "description_html": "

Solving Rational Equations 3<\/p>", "title": "Solving rational equations 3", "progress_key": "v27022", "edit_slug": "edit/v/27022", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 3", "extra_properties": {}, "node_slug": "v/solving-rational-equations-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.mp4/5wUJLMWZ5Fw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.mp4/5wUJLMWZ5Fw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.m3u8/5wUJLMWZ5Fw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5wUJLMWZ5Fw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27022", "sha": "eba3e1dfb89da97767e2a6174a26d6adbbfab966", "translated_description": "Solving Rational Equations 3", "image_url": "https://img.youtube.com/vi/5wUJLMWZ5Fw/hqdefault.jpg", "youtube_id": "5wUJLMWZ5Fw", "content_kind": "Video", "readable_id": "solving-rational-equations-3"}, {"translated_youtube_id": "gD7A1LA4jO8", "relative_url": "/video/applying-rational-equations-1", "has_questions": false, "keywords": "U11_L2_T2_we1, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-1", "duration": 326, "translated_title": "Applying rational equations 1", "translated_description_html": "

Applying Rational Equations 1<\/p>", "id": "8187347", "description_html": "

Applying Rational Equations 1<\/p>", "title": "Applying rational equations 1", "progress_key": "v8187347", "edit_slug": "edit/v/8187347", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 1", "extra_properties": {}, "node_slug": "v/applying-rational-equations-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.mp4/gD7A1LA4jO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.mp4/gD7A1LA4jO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.m3u8/gD7A1LA4jO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gD7A1LA4jO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187347", "sha": "368421bb2426efd3fece277106e2d173e45f4bbe", "translated_description": "Applying Rational Equations 1", "image_url": "https://img.youtube.com/vi/gD7A1LA4jO8/hqdefault.jpg", "youtube_id": "gD7A1LA4jO8", "content_kind": "Video", "readable_id": "applying-rational-equations-1"}, {"translated_youtube_id": "E1j8W64NQ0Y", "relative_url": "/video/applying-rational-equations-2", "has_questions": false, "keywords": "U11_L2_T2_we2, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-2", "duration": 360, "translated_title": "Applying rational equations 2", "translated_description_html": "

Applying Rational Equations 2<\/p>", "id": "27075", "description_html": "

Applying Rational Equations 2<\/p>", "title": "Applying rational equations 2", "progress_key": "v27075", "edit_slug": "edit/v/27075", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 2", "extra_properties": {}, "node_slug": "v/applying-rational-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.mp4/E1j8W64NQ0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.mp4/E1j8W64NQ0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.m3u8/E1j8W64NQ0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E1j8W64NQ0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27075", "sha": "77329ff720c3a5a6edd5a2b8610547cad3233198", "translated_description": "Applying Rational Equations 2", "image_url": "https://img.youtube.com/vi/E1j8W64NQ0Y/hqdefault.jpg", "youtube_id": "E1j8W64NQ0Y", "content_kind": "Video", "readable_id": "applying-rational-equations-2"}, {"translated_youtube_id": "B0Z4s38YIgQ", "relative_url": "/video/applying-rational-equations-3", "has_questions": false, "keywords": "U11_L2_T2_we3, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-3", "duration": 479, "translated_title": "Applying rational equations 3", "translated_description_html": "

Applying Rational Equations 3<\/p>", "id": "27076", "description_html": "

Applying Rational Equations 3<\/p>", "title": "Applying rational equations 3", "progress_key": "v27076", "edit_slug": "edit/v/27076", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 3", "extra_properties": {}, "node_slug": "v/applying-rational-equations-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.mp4/B0Z4s38YIgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.mp4/B0Z4s38YIgQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.m3u8/B0Z4s38YIgQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B0Z4s38YIgQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27076", "sha": "1567a321dd631fb34011bf11ec8e90432fa6b6fd", "translated_description": "Applying Rational Equations 3", "image_url": "https://img.youtube.com/vi/B0Z4s38YIgQ/hqdefault.jpg", "youtube_id": "B0Z4s38YIgQ", "content_kind": "Video", "readable_id": "applying-rational-equations-3"}, {"translated_youtube_id": "bml74_PsfwA", "relative_url": "/video/extraneous-solutions-to-rational-equations", "has_questions": false, "keywords": "u15_l2_t1_we2, Extraneous, Solutions, to, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/extraneous-solutions-to-rational-equations", "duration": 183, "translated_title": "Extraneous solutions to rational equations", "translated_description_html": "

Extraneous Solutions to Rational Equations<\/p>", "id": "124291568", "description_html": "

Extraneous Solutions to Rational Equations<\/p>", "title": "Extraneous solutions to rational equations", "progress_key": "v124291568", "edit_slug": "edit/v/124291568", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Extraneous Solutions to Rational Equations", "extra_properties": {}, "node_slug": "v/extraneous-solutions-to-rational-equations", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.m3u8/bml74_PsfwA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bml74_PsfwA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291568", "sha": "aa1e209bb9ce81b4aaa64f59f55d500432ee62a4", "translated_description": "Extraneous Solutions to Rational Equations", "image_url": "https://img.youtube.com/vi/bml74_PsfwA/hqdefault.jpg", "youtube_id": "bml74_PsfwA", "content_kind": "Video", "readable_id": "extraneous-solutions-to-rational-equations"}, {"translated_youtube_id": "ZjeMdXV0QMg", "relative_url": "/video/rational-inequalities", "has_questions": false, "keywords": "algebra, inequality, rational, fraction", "ka_url": "http://www.khanacademy.org/video/rational-inequalities", "duration": 709, "translated_title": "Rational inequalities", "translated_description_html": "

Two ways to solve a rational inequality (or an inequality involving a fractional expression)<\/p>", "id": "23568", "description_html": "

Two ways to solve a rational inequality (or an inequality involving a fractional expression)<\/p>", "title": "Rational inequalities", "progress_key": "v23568", "edit_slug": "edit/v/23568", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Two ways to solve a rational inequality (or an inequality involving a fractional expression)", "extra_properties": {}, "node_slug": "v/rational-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.m3u8/ZjeMdXV0QMg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZjeMdXV0QMg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23568", "sha": "dcad01a83771fa0613f2a1acb7c57a526975c1bd", "translated_description": "Two ways to solve a rational inequality (or an inequality involving a fractional expression)", "image_url": "https://img.youtube.com/vi/ZjeMdXV0QMg/hqdefault.jpg", "youtube_id": "ZjeMdXV0QMg", "content_kind": "Video", "readable_id": "rational-inequalities"}, {"translated_youtube_id": "2RnS3fSHVV8", "relative_url": "/video/rational-inequalities-2", "has_questions": false, "keywords": "algebra, rational, inequality", "ka_url": "http://www.khanacademy.org/video/rational-inequalities-2", "duration": 795, "translated_title": "Rational inequalities 2", "translated_description_html": "

Slightly harder rational inequality problem<\/p>", "id": "23570", "description_html": "

Slightly harder rational inequality problem<\/p>", "title": "Rational inequalities 2", "progress_key": "v23570", "edit_slug": "edit/v/23570", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slightly harder rational inequality problem", "extra_properties": {}, "node_slug": "v/rational-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.mp4/2RnS3fSHVV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.mp4/2RnS3fSHVV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.m3u8/2RnS3fSHVV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2RnS3fSHVV8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23570", "sha": "73fa3043a2fd3b3aeb40151f23179b9a401d02c1", "translated_description": "Slightly harder rational inequality problem", "image_url": "https://img.youtube.com/vi/2RnS3fSHVV8/hqdefault.jpg", "youtube_id": "2RnS3fSHVV8", "content_kind": "Video", "readable_id": "rational-inequalities-2"}], "twitter_url": "", "translated_description": "The equations you are about to see are some of the hairiest in all of algebra. The key is to keep calm and don't let the rational equation be the boss of you.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The equations you are about to see are some of the hairiest in all of algebra. The key is to keep calm and don't let the rational equation be the boss of you.", "x_pos": 0.0, "node_slug": "solving-rational-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T01:26:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6340bb2e", "topic_page_url": "/math/algebra/rational-expressions/solving-rational-equations", "extended_slug": "math/algebra/rational-expressions/solving-rational-equations", "slug": "solving-rational-equations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "58bf0ae84927b5c144c82a2538b9adb41d4477ef", "standalone_title": "Solving rational equations", "y_pos": 0.0, "current_revision_key": "58bf0ae84927b5c144c82a2538b9adb41d4477ef", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction. Well, they don't! In this topic, you'll learn how to interpret and manipulate rational expressions (when you have one algebraic expression divided by another)!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": true, "description": "You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction. Well, they don't! In this topic, you'll learn how to interpret and manipulate rational expressions (when you have one algebraic expression divided by another)!", "x_pos": -7.0, "node_slug": "rational-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T20:38:04Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7db461ca", "topic_page_url": "/math/algebra/rational-expressions", "extended_slug": "math/algebra/rational-expressions", "slug": "rational-expressions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1a6a42cc81d27299c801daac69d241c5d4eb5d62", "standalone_title": "Rational expressions", "y_pos": 54.0, "current_revision_key": "1a6a42cc81d27299c801daac69d241c5d4eb5d62", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/logarithms-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/logarithms-tutorial", "translated_standalone_title": "Logarithms", "translated_title": "Logarithms", "gplus_url": "", "id": "x01b58215", "old_key_name": "4S2_H5HJSWRSu08x9powqth-OIb7qFUYqHHVSjyf", "hide": false, "title": "Logarithms", "child_data": [{"kind": "Topic", "id": "xed9e39d2"}, {"kind": "Topic", "id": "x939a68a1"}, {"kind": "Topic", "id": "x906a1436"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/logarithms-tutorial/logarithm_basics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/logarithms-tutorial/logarithm_basics", "translated_standalone_title": "Logarithm basics", "translated_title": "Logarithm basics", "gplus_url": "", "id": "xed9e39d2", "old_key_name": "-5Mc7A7xM7fGXcty_pCgs3IsoQyRo_KSu64sfrts", "hide": false, "title": "Logarithm basics", "child_data": [{"kind": "Video", "id": 1242982964}, {"kind": "Video", "id": 367728582}, {"kind": "Exercise", "id": 3021}, {"kind": "Video", "id": 1243193209}, {"kind": "Exercise", "id": 1226239193}, {"kind": "Video", "id": 367721780}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 25775}], "children": [{"translated_youtube_id": "Z5myJ8dg_rM", "relative_url": "/video/logarithms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/logarithms", "duration": 422, "translated_title": "Logarithms", "translated_description_html": "Intro to logarithms. Learning that logarithms are just a way of expressing \"the exponent that you have to raise a base to to get another number\"", "id": "1242982964", "description_html": "Intro to logarithms. Learning that logarithms are just a way of expressing \"the exponent that you have to raise a base to to get another number\"", "title": "Logarithms", "progress_key": "v1242982964", "edit_slug": "edit/v/1242982964", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intro to logarithms. Learning that logarithms are just a way of expressing \"the exponent that you have to raise a base to to get another number\"", "extra_properties": null, "node_slug": "v/logarithms", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-12-21T00:14:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z5myJ8dg_rM.mp4/Z5myJ8dg_rM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z5myJ8dg_rM.mp4/Z5myJ8dg_rM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z5myJ8dg_rM.m3u8/Z5myJ8dg_rM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z5myJ8dg_rM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242982964", "sha": "50ce656eed8f69fe5280502d3dcb4565bab5dcf5", "translated_description": "Intro to logarithms. Learning that logarithms are just a way of expressing \"the exponent that you have to raise a base to to get another number\"", "image_url": "https://img.youtube.com/vi/Z5myJ8dg_rM/hqdefault.jpg", "youtube_id": "Z5myJ8dg_rM", "content_kind": "Video", "readable_id": "logarithms"}, {"translated_youtube_id": "vtStuLV-HvQ", "relative_url": "/video/logarithmic-equations-2", "has_questions": false, "keywords": "u18_l2_t1_we2, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/logarithmic-equations-2", "duration": 120, "translated_title": "Ex: Converting an exponential to logarithmic statement", "translated_description_html": " Logarithmic Equations 2", "id": "367728582", "description_html": " Logarithmic Equations 2", "title": "Ex: Converting an exponential to logarithmic statement", "progress_key": "v367728582", "edit_slug": "edit/v/367728582", "author_names": ["Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": " Logarithmic Equations 2", "extra_properties": null, "node_slug": "v/logarithmic-equations-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vtStuLV-HvQ.mp4/vtStuLV-HvQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vtStuLV-HvQ.mp4/vtStuLV-HvQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vtStuLV-HvQ.m3u8/vtStuLV-HvQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vtStuLV-HvQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v367728582", "sha": "d97c454eb15aa8fdd2239141dd09089b61f0a63a", "translated_description": " Logarithmic Equations 2", "image_url": "https://img.youtube.com/vi/vtStuLV-HvQ/hqdefault.jpg", "youtube_id": "vtStuLV-HvQ", "content_kind": "Video", "readable_id": "logarithmic-equations-2"}, {"translated_youtube_id": "eTWCARmrzJ0", "relative_url": "/video/fancier-logarithm-expressions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fancier-logarithm-expressions", "duration": 260, "translated_title": "Fancier logarithm expressions", "translated_description_html": "Examples of logarithms that evaluate to fractional and negative values.", "id": "1243193209", "description_html": "Examples of logarithms that evaluate to fractional and negative values.", "title": "Fancier logarithm expressions", "progress_key": "v1243193209", "edit_slug": "edit/v/1243193209", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Examples of logarithms that evaluate to fractional and negative values.", "extra_properties": null, "node_slug": "v/fancier-logarithm-expressions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-12-21T00:26:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eTWCARmrzJ0.mp4/eTWCARmrzJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eTWCARmrzJ0.mp4/eTWCARmrzJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eTWCARmrzJ0.m3u8/eTWCARmrzJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eTWCARmrzJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1243193209", "sha": "f264d9e7979c0a40ff56b7b7219b086d1afc2b89", "translated_description": "Examples of logarithms that evaluate to fractional and negative values.", "image_url": "https://img.youtube.com/vi/eTWCARmrzJ0/hqdefault.jpg", "youtube_id": "eTWCARmrzJ0", "content_kind": "Video", "readable_id": "fancier-logarithm-expressions"}, {"translated_youtube_id": "DuYgVVU_BwY", "relative_url": "/video/graphing-logarithmic-functions", "has_questions": false, "keywords": "u18_l2_t1_we3, Graphing, Logarithmic, Functions", "ka_url": "http://www.khanacademy.org/video/graphing-logarithmic-functions", "duration": 550, "translated_title": "Graphing logarithmic functions", "translated_description_html": " Graphing Logarithmic Functions", "id": "367721780", "description_html": " Graphing Logarithmic Functions", "title": "Graphing logarithmic functions", "progress_key": "v367721780", "edit_slug": "edit/v/367721780", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Graphing Logarithmic Functions", "extra_properties": null, "node_slug": "v/graphing-logarithmic-functions", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.mp4/DuYgVVU_BwY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.mp4/DuYgVVU_BwY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.m3u8/DuYgVVU_BwY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DuYgVVU_BwY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367721780", "sha": "8a38e790a7243500f7e4cb12b20936935305ad60", "translated_description": " Graphing Logarithmic Functions", "image_url": "https://img.youtube.com/vi/DuYgVVU_BwY/hqdefault.jpg", "youtube_id": "DuYgVVU_BwY", "content_kind": "Video", "readable_id": "graphing-logarithmic-functions"}, {"translated_youtube_id": "mQTWzLpCcW0", "relative_url": "/video/introduction-to-logarithms", "has_questions": false, "keywords": "logarithm, math, khan, academy, CC_39336_F-BF_5", "ka_url": "http://www.khanacademy.org/video/introduction-to-logarithms", "duration": 587, "translated_title": "Introduction to logarithms", "translated_description_html": "An introduction to logarithms", "id": "25775", "description_html": "An introduction to logarithms", "title": "Introduction to logarithms", "progress_key": "v25775", "edit_slug": "edit/v/25775", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to logarithms", "extra_properties": null, "node_slug": "v/introduction-to-logarithms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mQTWzLpCcW0.mp4/mQTWzLpCcW0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mQTWzLpCcW0.mp4/mQTWzLpCcW0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mQTWzLpCcW0.m3u8/mQTWzLpCcW0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mQTWzLpCcW0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25775", "sha": "2339fa1ef3a4d3b5e8f324a02109494dc5f967f2", "translated_description": "An introduction to logarithms", "image_url": "https://img.youtube.com/vi/mQTWzLpCcW0/hqdefault.jpg", "youtube_id": "mQTWzLpCcW0", "content_kind": "Video", "readable_id": "introduction-to-logarithms"}], "twitter_url": "", "translated_description": "If you understand how to take an exponent and you're looking to take your mathematical game to a new level, then you've found the right tutorial. Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication). As you'll see, taking a logarithm of something tells you what exponent you need to raise a base to to get that number.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you understand how to take an exponent and you're looking to take your mathematical game to a new level, then you've found the right tutorial. Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication). As you'll see, taking a logarithm of something tells you what exponent you need to raise a base to to get that number.", "x_pos": 0.0, "node_slug": "logarithm_basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axed9e39d2", "topic_page_url": "/math/algebra/logarithms-tutorial/logarithm_basics", "extended_slug": "math/algebra/logarithms-tutorial/logarithm_basics", "slug": "logarithm_basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bede014ade40223cd87f93d6784c7f77c57bab04", "standalone_title": "Logarithm basics", "y_pos": 0.0, "current_revision_key": "bede014ade40223cd87f93d6784c7f77c57bab04", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/logarithms-tutorial/logarithm_properties", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/logarithms-tutorial/logarithm_properties", "translated_standalone_title": "Logarithm properties", "translated_title": "Logarithm properties", "gplus_url": "", "id": "x939a68a1", "old_key_name": "YCA7cpH7sttBAlm5CDlywtxpj4rdifBMpwtx5ypP", "hide": false, "title": "Logarithm properties", "child_data": [{"kind": "Video", "id": 25781}, {"kind": "Video", "id": 25783}, {"kind": "Video", "id": 367723734}, {"kind": "Video", "id": 367722960}, {"kind": "Video", "id": 367723732}, {"kind": "Exercise", "id": 47892376}, {"kind": "Video", "id": 367721779}, {"kind": "Video", "id": 23514}, {"kind": "Video", "id": 23516}, {"kind": "Video", "id": 1335425394}, {"kind": "Video", "id": 364981334}, {"kind": "Video", "id": 370262996}, {"kind": "Video", "id": 367722962}, {"kind": "Video", "id": 214235939}, {"kind": "Video", "id": 231149553}], "children": [{"translated_youtube_id": "PupNgv49_WY", "relative_url": "/video/introduction-to-logarithm-properties", "has_questions": false, "keywords": "logarithms, properties, examples, math, CC_39336_F-BF_5", "ka_url": "http://www.khanacademy.org/video/introduction-to-logarithm-properties", "duration": 554, "translated_title": "Introduction to logarithm properties", "translated_description_html": "Introduction to the first two logarithm properties.", "id": "25781", "description_html": "Introduction to the first two logarithm properties.", "title": "Introduction to logarithm properties", "progress_key": "v25781", "edit_slug": "edit/v/25781", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the first two logarithm properties.", "extra_properties": null, "node_slug": "v/introduction-to-logarithm-properties", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PupNgv49_WY.mp4/PupNgv49_WY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PupNgv49_WY.mp4/PupNgv49_WY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PupNgv49_WY.m3u8/PupNgv49_WY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PupNgv49_WY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25781", "sha": "5d24dd1b375b082f306f9bb9ad183cfd7a655405", "translated_description": "Introduction to the first two logarithm properties.", "image_url": "https://img.youtube.com/vi/PupNgv49_WY/hqdefault.jpg", "youtube_id": "PupNgv49_WY", "content_kind": "Video", "readable_id": "introduction-to-logarithm-properties"}, {"translated_youtube_id": "TMmxKZaCqe0", "relative_url": "/video/introduction-to-logarithm-properties--part-2", "has_questions": false, "keywords": "logarithm, properties, math, CC_39336_F-BF_5", "ka_url": "http://www.khanacademy.org/video/introduction-to-logarithm-properties--part-2", "duration": 604, "translated_title": "Introduction to logarithm properties (part 2)", "translated_description_html": "Second part of the introduction to logarithm properties.", "id": "25783", "description_html": "Second part of the introduction to logarithm properties.", "title": "Introduction to logarithm properties (part 2)", "progress_key": "v25783", "edit_slug": "edit/v/25783", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second part of the introduction to logarithm properties.", "extra_properties": null, "node_slug": "v/introduction-to-logarithm-properties--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TMmxKZaCqe0.mp4/TMmxKZaCqe0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TMmxKZaCqe0.mp4/TMmxKZaCqe0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TMmxKZaCqe0.m3u8/TMmxKZaCqe0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TMmxKZaCqe0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25783", "sha": "2050a97760f28506c73155780f4c9fd52820a3cb", "translated_description": "Second part of the introduction to logarithm properties.", "image_url": "https://img.youtube.com/vi/TMmxKZaCqe0/hqdefault.jpg", "youtube_id": "TMmxKZaCqe0", "content_kind": "Video", "readable_id": "introduction-to-logarithm-properties--part-2"}, {"translated_youtube_id": "Pb9V374iOas", "relative_url": "/video/logarithm-of-a-power", "has_questions": false, "keywords": "u18_l2_t2_we3, Logarithm, of, Power", "ka_url": "http://www.khanacademy.org/video/logarithm-of-a-power", "duration": 289, "translated_title": "Logarithm of a power", "translated_description_html": "Logarithm of a Power", "id": "367723734", "description_html": "Logarithm of a Power", "title": "Logarithm of a power", "progress_key": "v367723734", "edit_slug": "edit/v/367723734", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Logarithm of a Power", "extra_properties": null, "node_slug": "v/logarithm-of-a-power", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pb9V374iOas.mp4/Pb9V374iOas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pb9V374iOas.mp4/Pb9V374iOas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pb9V374iOas.m3u8/Pb9V374iOas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pb9V374iOas&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367723734", "sha": "7b3008a0cb21533a87ae8434478b5cc1c7db1cd0", "translated_description": "Logarithm of a Power", "image_url": "https://img.youtube.com/vi/Pb9V374iOas/hqdefault.jpg", "youtube_id": "Pb9V374iOas", "content_kind": "Video", "readable_id": "logarithm-of-a-power"}, {"translated_youtube_id": "pkGrXzakRFs", "relative_url": "/video/sum-of-logarithms-with-same-base", "has_questions": false, "keywords": "u18_l2_t2_we1, Sum, of, Logarithms, with, Same, Base", "ka_url": "http://www.khanacademy.org/video/sum-of-logarithms-with-same-base", "duration": 304, "translated_title": "Sum of logarithms with same base", "translated_description_html": "Sum of Logarithms with Same Base", "id": "367722960", "description_html": "Sum of Logarithms with Same Base", "title": "Sum of logarithms with same base", "progress_key": "v367722960", "edit_slug": "edit/v/367722960", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sum of Logarithms with Same Base", "extra_properties": null, "node_slug": "v/sum-of-logarithms-with-same-base", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pkGrXzakRFs.mp4/pkGrXzakRFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pkGrXzakRFs.mp4/pkGrXzakRFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pkGrXzakRFs.m3u8/pkGrXzakRFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pkGrXzakRFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367722960", "sha": "40d3e60c25f15008e0db9bfeeee8084c8ce8a1a9", "translated_description": "Sum of Logarithms with Same Base", "image_url": "https://img.youtube.com/vi/pkGrXzakRFs/hqdefault.jpg", "youtube_id": "pkGrXzakRFs", "content_kind": "Video", "readable_id": "sum-of-logarithms-with-same-base"}, {"translated_youtube_id": "RhzXX5PbsuQ", "relative_url": "/video/using-multiple-logarithm-properties-to-simplify", "has_questions": false, "keywords": "u18_l2_t2_we4, Using, Multiple, Logarithm, Properties, to, Simplify", "ka_url": "http://www.khanacademy.org/video/using-multiple-logarithm-properties-to-simplify", "duration": 130, "translated_title": "Using multiple logarithm properties to simplify", "translated_description_html": "Using Multiple Logarithm Properties to Simplify", "id": "367723732", "description_html": "Using Multiple Logarithm Properties to Simplify", "title": "Using multiple logarithm properties to simplify", "progress_key": "v367723732", "edit_slug": "edit/v/367723732", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Multiple Logarithm Properties to Simplify", "extra_properties": null, "node_slug": "v/using-multiple-logarithm-properties-to-simplify", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RhzXX5PbsuQ.mp4/RhzXX5PbsuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RhzXX5PbsuQ.mp4/RhzXX5PbsuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RhzXX5PbsuQ.m3u8/RhzXX5PbsuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RhzXX5PbsuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367723732", "sha": "6f3e63197dac86c87c792260553e5ef3cb4917f0", "translated_description": "Using Multiple Logarithm Properties to Simplify", "image_url": "https://img.youtube.com/vi/RhzXX5PbsuQ/hqdefault.jpg", "youtube_id": "RhzXX5PbsuQ", "content_kind": "Video", "readable_id": "using-multiple-logarithm-properties-to-simplify"}, {"translated_youtube_id": "OkFdDqW9xxM", "relative_url": "/video/change-of-base-formula", "has_questions": false, "keywords": "u18_l3_t1_we3, Change, of, Base, Formula", "ka_url": "http://www.khanacademy.org/video/change-of-base-formula", "duration": 452, "translated_title": "Change of base formula", "translated_description_html": " Change of Base Formula", "id": "367721779", "description_html": " Change of Base Formula", "title": "Change of base formula", "progress_key": "v367721779", "edit_slug": "edit/v/367721779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Change of Base Formula", "extra_properties": null, "node_slug": "v/change-of-base-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OkFdDqW9xxM.mp4/OkFdDqW9xxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OkFdDqW9xxM.mp4/OkFdDqW9xxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OkFdDqW9xxM.m3u8/OkFdDqW9xxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OkFdDqW9xxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367721779", "sha": "fcbc94206cec64a57f90da97057b707c37e9f47b", "translated_description": " Change of Base Formula", "image_url": "https://img.youtube.com/vi/OkFdDqW9xxM/hqdefault.jpg", "youtube_id": "OkFdDqW9xxM", "content_kind": "Video", "readable_id": "change-of-base-formula"}, {"translated_youtube_id": "FP2arCfAfBY", "relative_url": "/video/proof--log-a---log-b---log-ab", "has_questions": false, "keywords": "logarithm, log, proof, algebra, math, khan, property", "ka_url": "http://www.khanacademy.org/video/proof--log-a---log-b---log-ab", "duration": 428, "translated_title": "Proof: log a + log b = log ab", "translated_description_html": "Proof of the logarithm property: log a + log b = log ab", "id": "23514", "description_html": "Proof of the logarithm property: log a + log b = log ab", "title": "Proof: log a + log b = log ab", "progress_key": "v23514", "edit_slug": "edit/v/23514", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the logarithm property: log a + log b = log ab", "extra_properties": null, "node_slug": "v/proof--log-a---log-b---log-ab", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FP2arCfAfBY.mp4/FP2arCfAfBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FP2arCfAfBY.mp4/FP2arCfAfBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FP2arCfAfBY.m3u8/FP2arCfAfBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FP2arCfAfBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23514", "sha": "14fb9008287215de231c25e5493f7c59ac0ad78a", "translated_description": "Proof of the logarithm property: log a + log b = log ab", "image_url": "https://img.youtube.com/vi/FP2arCfAfBY/hqdefault.jpg", "youtube_id": "FP2arCfAfBY", "content_kind": "Video", "readable_id": "proof--log-a---log-b---log-ab"}, {"translated_youtube_id": "yEAxG_D1HDw", "relative_url": "/video/proof--a-log-b----log--b-a---log-a---log-b---log--a-b", "has_questions": false, "keywords": "logarithm, properties, proof, algebra, math, khan", "ka_url": "http://www.khanacademy.org/video/proof--a-log-b----log--b-a---log-a---log-b---log--a-b", "duration": 477, "translated_title": "Proof: a log b = log(b^a), log a - log b = log(a/b)", "translated_description_html": "Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)", "id": "23516", "description_html": "Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)", "title": "Proof: a log b = log(b^a), log a - log b = log(a/b)", "progress_key": "v23516", "edit_slug": "edit/v/23516", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)", "extra_properties": null, "node_slug": "v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yEAxG_D1HDw.mp4/yEAxG_D1HDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yEAxG_D1HDw.mp4/yEAxG_D1HDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yEAxG_D1HDw.m3u8/yEAxG_D1HDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yEAxG_D1HDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23516", "sha": "8ef1322f7907ab61294dfefcb6f42f031044d3ce", "translated_description": "Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)", "image_url": "https://img.youtube.com/vi/yEAxG_D1HDw/hqdefault.jpg", "youtube_id": "yEAxG_D1HDw", "content_kind": "Video", "readable_id": "proof--a-log-b----log--b-a---log-a---log-b---log--a-b"}, {"translated_youtube_id": "1reblXFlM6I", "relative_url": "/video/change-of-base-formula-proof", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/change-of-base-formula-proof", "duration": 299, "translated_title": "Change of base formula proof", "translated_description_html": "", "id": "1335425394", "description_html": "", "title": "Change of base formula proof", "progress_key": "v1335425394", "edit_slug": "edit/v/1335425394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/change-of-base-formula-proof", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T16:20:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1reblXFlM6I.mp4/1reblXFlM6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1reblXFlM6I.mp4/1reblXFlM6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1reblXFlM6I.m3u8/1reblXFlM6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1reblXFlM6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335425394", "sha": "a81403bedd906037197aa974a8edf9c0df5a994e", "translated_description": "", "image_url": "https://img.youtube.com/vi/1reblXFlM6I/hqdefault.jpg", "youtube_id": "1reblXFlM6I", "content_kind": "Video", "readable_id": "change-of-base-formula-proof"}, {"translated_youtube_id": "fyshrv6YDVY", "relative_url": "/video/logarithmic-equations", "has_questions": false, "keywords": "u18_l2_t1_we1, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/logarithmic-equations", "duration": 87, "translated_title": "Logarithmic equations", "translated_description_html": "Logarithmic Equations", "id": "364981334", "description_html": "Logarithmic Equations", "title": "Logarithmic equations", "progress_key": "v364981334", "edit_slug": "edit/v/364981334", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Logarithmic Equations", "extra_properties": null, "node_slug": "v/logarithmic-equations", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fyshrv6YDVY.mp4/fyshrv6YDVY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fyshrv6YDVY.mp4/fyshrv6YDVY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fyshrv6YDVY.m3u8/fyshrv6YDVY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fyshrv6YDVY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981334", "sha": "63e26205483332e4cc837ebd93cc0b3eb847c4e9", "translated_description": "Logarithmic Equations", "image_url": "https://img.youtube.com/vi/fyshrv6YDVY/hqdefault.jpg", "youtube_id": "fyshrv6YDVY", "content_kind": "Video", "readable_id": "logarithmic-equations"}, {"translated_youtube_id": "Kv2iHde7Xgw", "relative_url": "/video/solving-logarithmic-equations", "has_questions": false, "keywords": "u18_l4_t1_we2, Solving, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/solving-logarithmic-equations", "duration": 253, "translated_title": "Solving logarithmic equations", "translated_description_html": "Solving Logarithmic Equations", "id": "370262996", "description_html": "Solving Logarithmic Equations", "title": "Solving logarithmic equations", "progress_key": "v370262996", "edit_slug": "edit/v/370262996", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Solving Logarithmic Equations", "extra_properties": null, "node_slug": "v/solving-logarithmic-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-10T11:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.mp4/Kv2iHde7Xgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.mp4/Kv2iHde7Xgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.m3u8/Kv2iHde7Xgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kv2iHde7Xgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370262996", "sha": "c56184b829c2e619d4b5c07eea7be944d879e410", "translated_description": "Solving Logarithmic Equations", "image_url": "https://img.youtube.com/vi/Kv2iHde7Xgw/hqdefault.jpg", "youtube_id": "Kv2iHde7Xgw", "content_kind": "Video", "readable_id": "solving-logarithmic-equations"}, {"translated_youtube_id": "oqAYqT70EBQ", "relative_url": "/video/solving-logarithmic-equations_DUP_1", "has_questions": false, "keywords": "u18_l2_t1_we4, Solving, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/solving-logarithmic-equations_DUP_1", "duration": 208, "translated_title": "Solving logarithmic equations", "translated_description_html": " Solving Logarithmic Equations", "id": "367722962", "description_html": " Solving Logarithmic Equations", "title": "Solving logarithmic equations", "progress_key": "v367722962", "edit_slug": "edit/v/367722962", "author_names": ["Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Solving Logarithmic Equations", "extra_properties": null, "node_slug": "v/solving-logarithmic-equations_DUP_1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.m3u8/oqAYqT70EBQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqAYqT70EBQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v367722962", "sha": "e70f5d732653282e4bae5cb0eb4309a757885c1b", "translated_description": " Solving Logarithmic Equations", "image_url": "https://img.youtube.com/vi/oqAYqT70EBQ/hqdefault.jpg", "youtube_id": "oqAYqT70EBQ", "content_kind": "Video", "readable_id": "solving-logarithmic-equations_DUP_1"}, {"translated_youtube_id": "sBhEi4L91Sg", "relative_url": "/video/logarithmic-scale", "has_questions": false, "keywords": "log, scale, number, line", "ka_url": "http://www.khanacademy.org/video/logarithmic-scale", "duration": 675, "translated_title": "Logarithmic scale", "translated_description_html": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "id": "214235939", "description_html": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "title": "Logarithmic scale", "progress_key": "v214235939", "edit_slug": "edit/v/214235939", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "extra_properties": null, "node_slug": "v/logarithmic-scale", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-08-26T10:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.mp4/sBhEi4L91Sg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.mp4/sBhEi4L91Sg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.m3u8/sBhEi4L91Sg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sBhEi4L91Sg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214235939", "sha": "8d8fd6d0360394307eb48547d6324b92fce482f6", "translated_description": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "image_url": "https://img.youtube.com/vi/sBhEi4L91Sg/hqdefault.jpg", "youtube_id": "sBhEi4L91Sg", "content_kind": "Video", "readable_id": "logarithmic-scale"}, {"translated_youtube_id": "RFn-IGlayAg", "relative_url": "/video/richter-scale", "has_questions": false, "keywords": "geology", "ka_url": "http://www.khanacademy.org/video/richter-scale", "duration": 679, "translated_title": "Richter scale", "translated_description_html": "The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes", "id": "231149553", "description_html": "The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes", "title": "Richter scale", "progress_key": "v231149553", "edit_slug": "edit/v/231149553", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes", "extra_properties": null, "node_slug": "v/richter-scale", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-06T10:02:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RFn-IGlayAg.mp4/RFn-IGlayAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RFn-IGlayAg.mp4/RFn-IGlayAg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RFn-IGlayAg.m3u8/RFn-IGlayAg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RFn-IGlayAg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v231149553", "sha": "980f75467d88bee81db142ac23f8457e595cc762", "translated_description": "The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes", "image_url": "https://img.youtube.com/vi/RFn-IGlayAg/hqdefault.jpg", "youtube_id": "RFn-IGlayAg", "content_kind": "Video", "readable_id": "richter-scale"}], "twitter_url": "", "translated_description": "You want to go deeper in your understanding of logarithms. This tutorial does just that by exploring properties of logarithms that will help you manipulate them in entirely new ways (mostly falling out of exponent properties).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You want to go deeper in your understanding of logarithms. This tutorial does just that by exploring properties of logarithms that will help you manipulate them in entirely new ways (mostly falling out of exponent properties).", "x_pos": 0.0, "node_slug": "logarithm_properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax939a68a1", "topic_page_url": "/math/algebra/logarithms-tutorial/logarithm_properties", "extended_slug": "math/algebra/logarithms-tutorial/logarithm_properties", "slug": "logarithm_properties", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "638f60ddc9c644e6d9b5c8423ad84cc889453af3", "standalone_title": "Logarithm properties", "y_pos": 0.0, "current_revision_key": "638f60ddc9c644e6d9b5c8423ad84cc889453af3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/logarithms-tutorial/natural_logarithm", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/logarithms-tutorial/natural_logarithm", "translated_standalone_title": "Natural logarithms", "translated_title": "Natural logarithms", "gplus_url": "", "id": "x906a1436", "old_key_name": "z47JNq_SuWH12vOuE-9ThHb3JzS60UqezTUq_DHf", "hide": false, "title": "Natural logarithms", "child_data": [{"kind": "Video", "id": 367722961}, {"kind": "Video", "id": 370285900}, {"kind": "Video", "id": 367721777}], "children": [{"translated_youtube_id": "Dpo_-GrMpNE", "relative_url": "/video/natural-logarithm-with-a-calculator", "has_questions": false, "keywords": "u18_l3_t1_we1, Natural, Logarithm, with, Calculator", "ka_url": "http://www.khanacademy.org/video/natural-logarithm-with-a-calculator", "duration": 217, "translated_title": "Natural logarithm with a calculator", "translated_description_html": "Natural Logarithm with a Calculator", "id": "367722961", "description_html": "Natural Logarithm with a Calculator", "title": "Natural logarithm with a calculator", "progress_key": "v367722961", "edit_slug": "edit/v/367722961", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Natural Logarithm with a Calculator", "extra_properties": null, "node_slug": "v/natural-logarithm-with-a-calculator", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dpo_-GrMpNE.mp4/Dpo_-GrMpNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dpo_-GrMpNE.mp4/Dpo_-GrMpNE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dpo_-GrMpNE.m3u8/Dpo_-GrMpNE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dpo_-GrMpNE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367722961", "sha": "5698bad079b05c3760e376599eae6f046b61dade", "translated_description": "Natural Logarithm with a Calculator", "image_url": "https://img.youtube.com/vi/Dpo_-GrMpNE/hqdefault.jpg", "youtube_id": "Dpo_-GrMpNE", "content_kind": "Video", "readable_id": "natural-logarithm-with-a-calculator"}, {"translated_youtube_id": "r0eFSS8CN-Q", "relative_url": "/video/calculator-for-natural-logarithms", "has_questions": false, "keywords": "u18_l3_t1_we6, Calculator, for, Natural, Logarithms", "ka_url": "http://www.khanacademy.org/video/calculator-for-natural-logarithms", "duration": 69, "translated_title": "Calculator for natural logarithms", "translated_description_html": "Calculator for Natural Logarithms", "id": "370285900", "description_html": "Calculator for Natural Logarithms", "title": "Calculator for natural logarithms", "progress_key": "v370285900", "edit_slug": "edit/v/370285900", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculator for Natural Logarithms", "extra_properties": null, "node_slug": "v/calculator-for-natural-logarithms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-10T11:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r0eFSS8CN-Q.mp4/r0eFSS8CN-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r0eFSS8CN-Q.mp4/r0eFSS8CN-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r0eFSS8CN-Q.m3u8/r0eFSS8CN-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r0eFSS8CN-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370285900", "sha": "6815d2f712efdd9e1727873cb1f917f779c528fc", "translated_description": "Calculator for Natural Logarithms", "image_url": "https://img.youtube.com/vi/r0eFSS8CN-Q/hqdefault.jpg", "youtube_id": "r0eFSS8CN-Q", "content_kind": "Video", "readable_id": "calculator-for-natural-logarithms"}, {"translated_youtube_id": "xmjy-0TxgI8", "relative_url": "/video/graphing-natural-logarithm-function", "has_questions": false, "keywords": "u18_l3_t1_we2, Graphing, Natural, Logarithm, Function", "ka_url": "http://www.khanacademy.org/video/graphing-natural-logarithm-function", "duration": 553, "translated_title": "Graphing natural logarithm function", "translated_description_html": "Graphing Natural Logarithm Function", "id": "367721777", "description_html": "Graphing Natural Logarithm Function", "title": "Graphing natural logarithm function", "progress_key": "v367721777", "edit_slug": "edit/v/367721777", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Natural Logarithm Function", "extra_properties": null, "node_slug": "v/graphing-natural-logarithm-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-09T11:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xmjy-0TxgI8.mp4/xmjy-0TxgI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xmjy-0TxgI8.mp4/xmjy-0TxgI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xmjy-0TxgI8.m3u8/xmjy-0TxgI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xmjy-0TxgI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367721777", "sha": "9aa572fbf010e9dda0fdbc2432c8f13ca8c9f20b", "translated_description": "Graphing Natural Logarithm Function", "image_url": "https://img.youtube.com/vi/xmjy-0TxgI8/hqdefault.jpg", "youtube_id": "xmjy-0TxgI8", "content_kind": "Video", "readable_id": "graphing-natural-logarithm-function"}], "twitter_url": "", "translated_description": "e is a special number that shows up throughout nature (you will appreciate this more and more as you develop your mathematical understanding). Given this, logarithms with base e have a special name--natural logarithms. In this tutorial, we will learn to evaluate and graph this special function.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "e is a special number that shows up throughout nature (you will appreciate this more and more as you develop your mathematical understanding). Given this, logarithms with base e have a special name--natural logarithms. In this tutorial, we will learn to evaluate and graph this special function.", "x_pos": 0.0, "node_slug": "natural_logarithm", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax906a1436", "topic_page_url": "/math/algebra/logarithms-tutorial/natural_logarithm", "extended_slug": "math/algebra/logarithms-tutorial/natural_logarithm", "slug": "natural_logarithm", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "fe00491d011a792415b1c12d964a90c887657c9a", "standalone_title": "Natural logarithms", "y_pos": 0.0, "current_revision_key": "fe00491d011a792415b1c12d964a90c887657c9a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Log-a-what? No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless.\n\nYou know how to take an exponent. Now you can think about what exponent you have to raise a number to to get another number. Yes, I agree--unstoppable fun for the whole family. No, seriously, logarithms are used everywhere (including to measure earthquakes and sound).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Log-a-what? No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless.\n\nYou know how to take an exponent. Now you can think about what exponent you have to raise a number to to get another number. Yes, I agree--unstoppable fun for the whole family. No, seriously, logarithms are used everywhere (including to measure earthquakes and sound).", "x_pos": 0.0, "node_slug": "logarithms-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax01b58215", "topic_page_url": "/math/algebra/logarithms-tutorial", "extended_slug": "math/algebra/logarithms-tutorial", "slug": "logarithms-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cdb2961e619e886176abaf5a517f212a0728df97", "standalone_title": "Logarithms", "y_pos": 0.0, "current_revision_key": "cdb2961e619e886176abaf5a517f212a0728df97", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/conic-sections-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections", "translated_standalone_title": "Conic sections", "translated_title": "Conic sections", "gplus_url": "", "id": "x18d95b5d", "old_key_name": "KwnHF4txdhqHOdS868IJJuOdEkhn0CeYJxtMAyuu", "hide": false, "title": "Conic sections", "child_data": [{"kind": "Topic", "id": "xf7f29e78"}, {"kind": "Topic", "id": "xeb6fb8e4"}, {"kind": "Topic", "id": "x4de15201"}, {"kind": "Topic", "id": "x9903e9be"}, {"kind": "Topic", "id": "xb5bbbb21"}, {"kind": "Topic", "id": "xfa4a058c"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/conic_basics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/conic_basics", "translated_standalone_title": "Conic section basics", "translated_title": "Conic section basics", "gplus_url": "", "id": "xf7f29e78", "old_key_name": "SUzjyh0Mj2K6z09u1a8fgmk5vZnhkDadrHHcJ01h", "hide": false, "title": "Conic section basics", "child_data": [{"kind": "Video", "id": 23522}, {"kind": "Exercise", "id": 213271375}], "children": [{"translated_youtube_id": "0A7RR0oy2ho", "relative_url": "/video/introduction-to-conic-sections", "has_questions": false, "keywords": "algebra, conic, sections, parabola, circle, ellipse, hyperbola", "ka_url": "http://www.khanacademy.org/video/introduction-to-conic-sections", "duration": 658, "translated_title": "Introduction to conic sections", "translated_description_html": "What are conic sections and why are they called \"conic sections\"?", "id": "23522", "description_html": "What are conic sections and why are they called \"conic sections\"?", "title": "Introduction to conic sections", "progress_key": "v23522", "edit_slug": "edit/v/23522", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What are conic sections and why are they called \"conic sections\"?", "extra_properties": null, "node_slug": "v/introduction-to-conic-sections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.mp4/0A7RR0oy2ho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.mp4/0A7RR0oy2ho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.m3u8/0A7RR0oy2ho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0A7RR0oy2ho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23522", "sha": "ddcbab5263fdb3b16e197d5e6cbacfb876df9979", "translated_description": "What are conic sections and why are they called \"conic sections\"?", "image_url": "https://img.youtube.com/vi/0A7RR0oy2ho/hqdefault.jpg", "youtube_id": "0A7RR0oy2ho", "content_kind": "Video", "readable_id": "introduction-to-conic-sections"}], "twitter_url": "", "translated_description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", "x_pos": 0.0, "node_slug": "conic_basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf7f29e78", "topic_page_url": "/math/algebra/conic-sections/conic_basics", "extended_slug": "math/algebra/conic-sections/conic_basics", "slug": "conic_basics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0517fc5f0aba9f29d38be5051444401a1e033f53", "standalone_title": "Conic section basics", "y_pos": 0.0, "current_revision_key": "0517fc5f0aba9f29d38be5051444401a1e033f53", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/conic_circles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/conic_circles", "translated_standalone_title": "Circles", "translated_title": "Circles", "gplus_url": "", "id": "xeb6fb8e4", "old_key_name": "pg-ccBW2--LLwFKefU797ArF78Aob0KmzNgyJZx8", "hide": false, "title": "Circles", "child_data": [{"kind": "Video", "id": 23524}, {"kind": "Exercise", "id": 1080859355}, {"kind": "Exercise", "id": 196139891}, {"kind": "Video", "id": "x577fb2f2"}, {"kind": "Exercise", "id": 196157133}, {"kind": "Exercise", "id": 1080890293}], "children": [{"translated_youtube_id": "6r1GQCxyMKI", "relative_url": "/video/conic-sections--intro-to-circles", "has_questions": false, "keywords": "conic, sections, circle, algebra", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-circles", "duration": 544, "translated_title": "Conic sections: Intro to circles", "translated_description_html": "Introduction to the Circle", "id": "23524", "description_html": "Introduction to the Circle", "title": "Conic sections: Intro to circles", "progress_key": "v23524", "edit_slug": "edit/v/23524", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Circle", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-circles", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.m3u8/6r1GQCxyMKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6r1GQCxyMKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23524", "sha": "74409fe19c814fd5165c92dc70b1db2ad09b4739", "translated_description": "Introduction to the Circle", "image_url": "https://img.youtube.com/vi/6r1GQCxyMKI/hqdefault.jpg", "youtube_id": "6r1GQCxyMKI", "content_kind": "Video", "readable_id": "conic-sections--intro-to-circles"}, {"translated_youtube_id": "XyDMsotfJhE", "relative_url": "/video/completing-the-square-to-write-equation-in-standard-form-of-a-circle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/completing-the-square-to-write-equation-in-standard-form-of-a-circle", "duration": 260, "translated_title": "Completing the square to write equation in standard form of a circle", "translated_description_html": "", "id": "x577fb2f2", "description_html": "", "title": "Completing the square to write equation in standard form of a circle", "progress_key": "vx577fb2f2", "edit_slug": "edit/v/x577fb2f2", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/completing-the-square-to-write-equation-in-standard-form-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-14T22:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XyDMsotfJhE.mp4/XyDMsotfJhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XyDMsotfJhE.mp4/XyDMsotfJhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XyDMsotfJhE.m3u8/XyDMsotfJhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XyDMsotfJhE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx577fb2f2", "sha": "1fd2d4c5ad758019931eb3c2247e9f1b8e2b5e7d", "translated_description": "", "image_url": "https://img.youtube.com/vi/XyDMsotfJhE/hqdefault.jpg", "youtube_id": "XyDMsotfJhE", "content_kind": "Video", "readable_id": "completing-the-square-to-write-equation-in-standard-form-of-a-circle"}], "twitter_url": "", "translated_description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", "x_pos": 0.0, "node_slug": "conic_circles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T22:42:30Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeb6fb8e4", "topic_page_url": "/math/algebra/conic-sections/conic_circles", "extended_slug": "math/algebra/conic-sections/conic_circles", "slug": "conic_circles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ec888d8b8a4d64e37cad1442bcdc5c9bb1d24b81", "standalone_title": "Circles", "y_pos": 0.0, "current_revision_key": "ec888d8b8a4d64e37cad1442bcdc5c9bb1d24b81", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/conic_ellipses", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/conic_ellipses", "translated_standalone_title": "Ellipses", "translated_title": "Ellipses", "gplus_url": "", "id": "x4de15201", "old_key_name": "xMQDcwWw391cg21BYfYulUat1RildyDuKXb3r95p", "hide": false, "title": "Ellipses", "child_data": [{"kind": "Video", "id": 23526}, {"kind": "Exercise", "id": 213284163}, {"kind": "Video", "id": 23540}], "children": [{"translated_youtube_id": "lvAYFUIEpFI", "relative_url": "/video/conic-sections--intro-to-ellipses", "has_questions": false, "keywords": "ellipse, conic, section", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-ellipses", "duration": 854, "translated_title": "Conic sections: Intro to ellipses", "translated_description_html": "Introduction to the ellipse.", "id": "23526", "description_html": "Introduction to the ellipse.", "title": "Conic sections: Intro to ellipses", "progress_key": "v23526", "edit_slug": "edit/v/23526", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the ellipse.", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-ellipses", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.m3u8/lvAYFUIEpFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lvAYFUIEpFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23526", "sha": "70e839103c700734e26c1e47a9b5b4b97dbf3c01", "translated_description": "Introduction to the ellipse.", "image_url": "https://img.youtube.com/vi/lvAYFUIEpFI/hqdefault.jpg", "youtube_id": "lvAYFUIEpFI", "content_kind": "Video", "readable_id": "conic-sections--intro-to-ellipses"}, {"translated_youtube_id": "QR2vxfwiHAU", "relative_url": "/video/foci-of-an-ellipse", "has_questions": false, "keywords": "foci, focus, ellipse, conic, section", "ka_url": "http://www.khanacademy.org/video/foci-of-an-ellipse", "duration": 829, "translated_title": "Foci of an ellipse", "translated_description_html": "Calculating the foci (or focuses) of an Ellipse.", "id": "23540", "description_html": "Calculating the foci (or focuses) of an Ellipse.", "title": "Foci of an ellipse", "progress_key": "v23540", "edit_slug": "edit/v/23540", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the foci (or focuses) of an Ellipse.", "extra_properties": null, "node_slug": "v/foci-of-an-ellipse", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.mp4/QR2vxfwiHAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.mp4/QR2vxfwiHAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.m3u8/QR2vxfwiHAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QR2vxfwiHAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23540", "sha": "960847aa04f87016079781b185f1b3dec58f7aa0", "translated_description": "Calculating the foci (or focuses) of an Ellipse.", "image_url": "https://img.youtube.com/vi/QR2vxfwiHAU/hqdefault.jpg", "youtube_id": "QR2vxfwiHAU", "content_kind": "Video", "readable_id": "foci-of-an-ellipse"}], "twitter_url": "", "translated_description": "What would you call a circle that isn't a circle? One that is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What would you call a circle that isn't a circle? One that is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", "x_pos": 0.0, "node_slug": "conic_ellipses", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T02:56:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4de15201", "topic_page_url": "/math/algebra/conic-sections/conic_ellipses", "extended_slug": "math/algebra/conic-sections/conic_ellipses", "slug": "conic_ellipses", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c961188f60984985cac1074b0552a803f3a1d0a5", "standalone_title": "Ellipses", "y_pos": 0.0, "current_revision_key": "c961188f60984985cac1074b0552a803f3a1d0a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/conic_parabolas", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/conic_parabolas", "translated_standalone_title": "Parabolas", "translated_title": "Parabolas", "gplus_url": "", "id": "x9903e9be", "old_key_name": "X72Qi4Yu-AaG-N0HTjJbiKrD5GQ1s6FgsufPzY3Y", "hide": false, "title": "Parabolas", "child_data": [{"kind": "Video", "id": "x78bacc55"}, {"kind": "Video", "id": "x45ecfbb1"}, {"kind": "Exercise", "id": 257422323}, {"kind": "Video", "id": 23552}, {"kind": "Video", "id": 23554}, {"kind": "Exercise", "id": 257436637}], "children": [{"translated_youtube_id": "99v51U3HSCU", "relative_url": "/video/shifting-and-scaling-parabolas", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shifting-and-scaling-parabolas", "duration": 481, "translated_title": "Shifting and scaling parabolas", "translated_description_html": "", "id": "x78bacc55", "description_html": "", "title": "Shifting and scaling parabolas", "progress_key": "vx78bacc55", "edit_slug": "edit/v/x78bacc55", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/shifting-and-scaling-parabolas", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/99v51U3HSCU.mp4/99v51U3HSCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/99v51U3HSCU.mp4/99v51U3HSCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/99v51U3HSCU.m3u8/99v51U3HSCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=99v51U3HSCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78bacc55", "sha": "d4680958cfbb2bb2c4ce7f82220857c269deeda0", "translated_description": "", "image_url": "https://img.youtube.com/vi/99v51U3HSCU/hqdefault.jpg", "youtube_id": "99v51U3HSCU", "content_kind": "Video", "readable_id": "shifting-and-scaling-parabolas"}, {"translated_youtube_id": "Qv2pgv8ea-k", "relative_url": "/video/parabola-intuition-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parabola-intuition-example-1", "duration": 110, "translated_title": "Parabola intuition example 1", "translated_description_html": "", "id": "x45ecfbb1", "description_html": "", "title": "Parabola intuition example 1", "progress_key": "vx45ecfbb1", "edit_slug": "edit/v/x45ecfbb1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/parabola-intuition-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-20T05:20:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qv2pgv8ea-k.mp4/Qv2pgv8ea-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qv2pgv8ea-k.mp4/Qv2pgv8ea-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qv2pgv8ea-k.m3u8/Qv2pgv8ea-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qv2pgv8ea-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx45ecfbb1", "sha": "9c8eb6d8bf09da19f21ea553868cb6ecab0e047a", "translated_description": "", "image_url": "https://img.youtube.com/vi/Qv2pgv8ea-k/hqdefault.jpg", "youtube_id": "Qv2pgv8ea-k", "content_kind": "Video", "readable_id": "parabola-intuition-example-1"}, {"translated_youtube_id": "ZJf9shWlMz0", "relative_url": "/video/parabola-focus-and-directrix-1", "has_questions": false, "keywords": "parabola, focus, directrix, conic, section", "ka_url": "http://www.khanacademy.org/video/parabola-focus-and-directrix-1", "duration": 871, "translated_title": "Parabola focus and directrix 1", "translated_description_html": "Parabola as the locus of all points equidistant from a point and a line", "id": "23552", "description_html": "Parabola as the locus of all points equidistant from a point and a line", "title": "Parabola focus and directrix 1", "progress_key": "v23552", "edit_slug": "edit/v/23552", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola as the locus of all points equidistant from a point and a line", "extra_properties": null, "node_slug": "v/parabola-focus-and-directrix-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.m3u8/ZJf9shWlMz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZJf9shWlMz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23552", "sha": "38342ab4fb96e9957a4cf7c48362065871d5e91b", "translated_description": "Parabola as the locus of all points equidistant from a point and a line", "image_url": "https://img.youtube.com/vi/ZJf9shWlMz0/hqdefault.jpg", "youtube_id": "ZJf9shWlMz0", "content_kind": "Video", "readable_id": "parabola-focus-and-directrix-1"}, {"translated_youtube_id": "1Jm9rREA-uA", "relative_url": "/video/focus-and-directrix-of-a-parabola-2", "has_questions": false, "keywords": "focus, directrix, parabola, conic, section", "ka_url": "http://www.khanacademy.org/video/focus-and-directrix-of-a-parabola-2", "duration": 1108, "translated_title": "Focus and directrix of a parabola 2", "translated_description_html": "Finding the focus and directrix of a parabola", "id": "23554", "description_html": "Finding the focus and directrix of a parabola", "title": "Focus and directrix of a parabola 2", "progress_key": "v23554", "edit_slug": "edit/v/23554", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the focus and directrix of a parabola", "extra_properties": null, "node_slug": "v/focus-and-directrix-of-a-parabola-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.m3u8/1Jm9rREA-uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Jm9rREA-uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23554", "sha": "3b833f014f40adc8ad02a0d34632b72567f083d9", "translated_description": "Finding the focus and directrix of a parabola", "image_url": "https://img.youtube.com/vi/1Jm9rREA-uA/hqdefault.jpg", "youtube_id": "1Jm9rREA-uA", "content_kind": "Video", "readable_id": "focus-and-directrix-of-a-parabola-2"}], "twitter_url": "", "translated_description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", "x_pos": 0.0, "node_slug": "conic_parabolas", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T05:25:10Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9903e9be", "topic_page_url": "/math/algebra/conic-sections/conic_parabolas", "extended_slug": "math/algebra/conic-sections/conic_parabolas", "slug": "conic_parabolas", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "fff4d7bb3d105a677886781fb4d2428f6db61023", "standalone_title": "Parabolas", "y_pos": 0.0, "current_revision_key": "fff4d7bb3d105a677886781fb4d2428f6db61023", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/hyperbolas-conic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/hyperbolas-conic", "translated_standalone_title": "Hyperbolas", "translated_title": "Hyperbolas", "gplus_url": "", "id": "xb5bbbb21", "old_key_name": "7Weuhy8NjFvyBcDplm8tCubg7rkJ7t9RHBdLDhRE", "hide": false, "title": "Hyperbolas", "child_data": [{"kind": "Video", "id": 23528}, {"kind": "Video", "id": 23530}, {"kind": "Video", "id": 23532}, {"kind": "Exercise", "id": 213250823}, {"kind": "Video", "id": 23542}, {"kind": "Video", "id": 23544}], "children": [{"translated_youtube_id": "pzSyOTkAsY4", "relative_url": "/video/conic-sections--intro-to-hyperbolas", "has_questions": false, "keywords": "hyperbola, conic, section, algebra", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-hyperbolas", "duration": 814, "translated_title": "Conic sections: Intro to hyperbolas", "translated_description_html": "Introduction to the hyperbola", "id": "23528", "description_html": "Introduction to the hyperbola", "title": "Conic sections: Intro to hyperbolas", "progress_key": "v23528", "edit_slug": "edit/v/23528", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the hyperbola", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-hyperbolas", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.mp4/pzSyOTkAsY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.mp4/pzSyOTkAsY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.m3u8/pzSyOTkAsY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzSyOTkAsY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23528", "sha": "8e08bb0a7c6e8ff967b100dabaffe7e103def165", "translated_description": "Introduction to the hyperbola", "image_url": "https://img.youtube.com/vi/pzSyOTkAsY4/hqdefault.jpg", "youtube_id": "pzSyOTkAsY4", "content_kind": "Video", "readable_id": "conic-sections--intro-to-hyperbolas"}, {"translated_youtube_id": "hl58vTCqVIY", "relative_url": "/video/conic-sections--hyperbolas-2", "has_questions": false, "keywords": "hyperbola, conic, section", "ka_url": "http://www.khanacademy.org/video/conic-sections--hyperbolas-2", "duration": 450, "translated_title": "Conic sections: Hyperbolas 2", "translated_description_html": "Continuation of the intro to hyperbolas", "id": "23530", "description_html": "Continuation of the intro to hyperbolas", "title": "Conic sections: Hyperbolas 2", "progress_key": "v23530", "edit_slug": "edit/v/23530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuation of the intro to hyperbolas", "extra_properties": null, "node_slug": "v/conic-sections--hyperbolas-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.mp4/hl58vTCqVIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.mp4/hl58vTCqVIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.m3u8/hl58vTCqVIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hl58vTCqVIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23530", "sha": "764758de43ac4a4b1855f2707f4602f6afa9c782", "translated_description": "Continuation of the intro to hyperbolas", "image_url": "https://img.youtube.com/vi/hl58vTCqVIY/hqdefault.jpg", "youtube_id": "hl58vTCqVIY", "content_kind": "Video", "readable_id": "conic-sections--hyperbolas-2"}, {"translated_youtube_id": "lGQw-W1PxBE", "relative_url": "/video/conic-sections--hyperbolas-3", "has_questions": false, "keywords": "conic, section, hyperbola", "ka_url": "http://www.khanacademy.org/video/conic-sections--hyperbolas-3", "duration": 629, "translated_title": "Conic sections: Hyperbolas 3", "translated_description_html": "Part 3 of the intro to hyperbolas", "id": "23532", "description_html": "Part 3 of the intro to hyperbolas", "title": "Conic sections: Hyperbolas 3", "progress_key": "v23532", "edit_slug": "edit/v/23532", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 3 of the intro to hyperbolas", "extra_properties": null, "node_slug": "v/conic-sections--hyperbolas-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.mp4/lGQw-W1PxBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.mp4/lGQw-W1PxBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.m3u8/lGQw-W1PxBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lGQw-W1PxBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23532", "sha": "45432ab7d0aa2afbdcc2529646ac329a1b48eaa2", "translated_description": "Part 3 of the intro to hyperbolas", "image_url": "https://img.youtube.com/vi/lGQw-W1PxBE/hqdefault.jpg", "youtube_id": "lGQw-W1PxBE", "content_kind": "Video", "readable_id": "conic-sections--hyperbolas-3"}, {"translated_youtube_id": "S0Fd2Tg2v7M", "relative_url": "/video/foci-of-a-hyperbola", "has_questions": false, "keywords": "hyperbola, foci, focuses, conic", "ka_url": "http://www.khanacademy.org/video/foci-of-a-hyperbola", "duration": 924, "translated_title": "Foci of a hyperbola", "translated_description_html": "Introduction to the foci (focuses) of a hyperbola", "id": "23542", "description_html": "Introduction to the foci (focuses) of a hyperbola", "title": "Foci of a hyperbola", "progress_key": "v23542", "edit_slug": "edit/v/23542", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the foci (focuses) of a hyperbola", "extra_properties": null, "node_slug": "v/foci-of-a-hyperbola", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.mp4/S0Fd2Tg2v7M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.mp4/S0Fd2Tg2v7M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.m3u8/S0Fd2Tg2v7M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S0Fd2Tg2v7M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23542", "sha": "26f4be139dff9185d08664d1f7cf328c732b801e", "translated_description": "Introduction to the foci (focuses) of a hyperbola", "image_url": "https://img.youtube.com/vi/S0Fd2Tg2v7M/hqdefault.jpg", "youtube_id": "S0Fd2Tg2v7M", "content_kind": "Video", "readable_id": "foci-of-a-hyperbola"}, {"translated_youtube_id": "HPRFmu7JsKU", "relative_url": "/video/proof--hyperbola-foci", "has_questions": false, "keywords": "hyperbola, foci, focuses, conic", "ka_url": "http://www.khanacademy.org/video/proof--hyperbola-foci", "duration": 890, "translated_title": "Proof: Hyperbola foci", "translated_description_html": "Proof of the hyperbola foci formula", "id": "23544", "description_html": "Proof of the hyperbola foci formula", "title": "Proof: Hyperbola foci", "progress_key": "v23544", "edit_slug": "edit/v/23544", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the hyperbola foci formula", "extra_properties": null, "node_slug": "v/proof--hyperbola-foci", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.mp4/HPRFmu7JsKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.mp4/HPRFmu7JsKU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.m3u8/HPRFmu7JsKU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HPRFmu7JsKU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23544", "sha": "e59d77ae875db3b3f33ce318df246c7988e013fd", "translated_description": "Proof of the hyperbola foci formula", "image_url": "https://img.youtube.com/vi/HPRFmu7JsKU/hqdefault.jpg", "youtube_id": "HPRFmu7JsKU", "content_kind": "Video", "readable_id": "proof--hyperbola-foci"}], "twitter_url": "", "translated_description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", "x_pos": 0.0, "node_slug": "hyperbolas-conic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb5bbbb21", "topic_page_url": "/math/algebra/conic-sections/hyperbolas-conic", "extended_slug": "math/algebra/conic-sections/hyperbolas-conic", "slug": "hyperbolas-conic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bccc35302ab3db383a8b1f38821a9e6a8e72c163", "standalone_title": "Hyperbolas", "y_pos": 0.0, "current_revision_key": "bccc35302ab3db383a8b1f38821a9e6a8e72c163", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/conic-sections/conics_from_equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/conic-sections/conics_from_equations", "translated_standalone_title": "Identifying conics from equations", "translated_title": "Identifying conics from equations", "gplus_url": "", "id": "xfa4a058c", "old_key_name": "dDCJx1kKKCAIImYZPHGkXuG2UpyB9s8HghRBpk9B", "hide": false, "title": "Identifying conics from equations", "child_data": [{"kind": "Video", "id": 23534}, {"kind": "Video", "id": 23536}, {"kind": "Video", "id": 23538}, {"kind": "Video", "id": 24414}], "children": [{"translated_youtube_id": "LSJuu4Qm2qQ", "relative_url": "/video/identifying-conics-1", "has_questions": false, "keywords": "conic, section, graphing, ellipse, hyperbola", "ka_url": "http://www.khanacademy.org/video/identifying-conics-1", "duration": 551, "translated_title": "Identifying an ellipse from equation", "translated_description_html": "

Part 1 of identifying and graphic conic sections<\/p>\n", "id": "23534", "description_html": "

Part 1 of identifying and graphic conic sections<\/p>\n", "title": "Identifying an ellipse from equation", "progress_key": "v23534", "edit_slug": "edit/v/23534", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1 of identifying and graphic conic sections\n", "extra_properties": {"original_url": ""}, "node_slug": "v/identifying-conics-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.mp4/LSJuu4Qm2qQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.mp4/LSJuu4Qm2qQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.m3u8/LSJuu4Qm2qQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSJuu4Qm2qQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23534", "sha": "758e31870a8d1b0fc19e8a068aad30822a65a600", "translated_description": "Part 1 of identifying and graphic conic sections\n", "image_url": "https://img.youtube.com/vi/LSJuu4Qm2qQ/hqdefault.jpg", "youtube_id": "LSJuu4Qm2qQ", "content_kind": "Video", "readable_id": "identifying-conics-1"}, {"translated_youtube_id": "cvA4VN1dpuY", "relative_url": "/video/identifying-conics-2", "has_questions": false, "keywords": "conic, section, graphing, hyperbola", "ka_url": "http://www.khanacademy.org/video/identifying-conics-2", "duration": 688, "translated_title": "Identifying a hyperbola from an equation", "translated_description_html": "

Part 2 of identifying and graphing conic sections<\/p>\n", "id": "23536", "description_html": "

Part 2 of identifying and graphing conic sections<\/p>\n", "title": "Identifying a hyperbola from an equation", "progress_key": "v23536", "edit_slug": "edit/v/23536", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of identifying and graphing conic sections\n", "extra_properties": {"original_url": ""}, "node_slug": "v/identifying-conics-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.mp4/cvA4VN1dpuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.mp4/cvA4VN1dpuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.m3u8/cvA4VN1dpuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cvA4VN1dpuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23536", "sha": "6c1580ae46e89c2c8a4baec730c79dce54a78772", "translated_description": "Part 2 of identifying and graphing conic sections\n", "image_url": "https://img.youtube.com/vi/cvA4VN1dpuY/hqdefault.jpg", "youtube_id": "cvA4VN1dpuY", "content_kind": "Video", "readable_id": "identifying-conics-2"}, {"translated_youtube_id": "Dru0RHgfp2g", "relative_url": "/video/conic-identification-3", "has_questions": false, "keywords": "conic, sections, parabola, circle", "ka_url": "http://www.khanacademy.org/video/conic-identification-3", "duration": 694, "translated_title": "Identifying circles and parabolas from equations", "translated_description_html": "

Let's identify (and graph) a couple of more conics!<\/p>\n", "id": "23538", "description_html": "

Let's identify (and graph) a couple of more conics!<\/p>\n", "title": "Identifying circles and parabolas from equations", "progress_key": "v23538", "edit_slug": "edit/v/23538", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's identify (and graph) a couple of more conics!\n", "extra_properties": {"original_url": ""}, "node_slug": "v/conic-identification-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.m3u8/Dru0RHgfp2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dru0RHgfp2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23538", "sha": "697b44858b4906ee6b9dd246ef686463e1454089", "translated_description": "Let's identify (and graph) a couple of more conics!\n", "image_url": "https://img.youtube.com/vi/Dru0RHgfp2g/hqdefault.jpg", "youtube_id": "Dru0RHgfp2g", "content_kind": "Video", "readable_id": "conic-identification-3"}, {"translated_youtube_id": "74oju-0NExU", "relative_url": "/video/algebra-----conic-sections", "has_questions": false, "keywords": "algebra, conic, sections, hyperbola, parabola, vertex", "ka_url": "http://www.khanacademy.org/video/algebra-----conic-sections", "duration": 811, "translated_title": "Hyperbola and parabola examples", "translated_description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "id": "24414", "description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "title": "Hyperbola and parabola examples", "progress_key": "v24414", "edit_slug": "edit/v/24414", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola, Hyperbolas, etc.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/algebra-----conic-sections", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.m3u8/74oju-0NExU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=74oju-0NExU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24414", "sha": "7e56e436f274fbdb6717f5fb60f329b0c16a0222", "translated_description": "Parabola, Hyperbolas, etc.\n", "image_url": "https://img.youtube.com/vi/74oju-0NExU/hqdefault.jpg", "youtube_id": "74oju-0NExU", "content_kind": "Video", "readable_id": "algebra-----conic-sections"}], "twitter_url": "", "translated_description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", "x_pos": 0.0, "node_slug": "conics_from_equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa4a058c", "topic_page_url": "/math/algebra/conic-sections/conics_from_equations", "extended_slug": "math/algebra/conic-sections/conics_from_equations", "slug": "conics_from_equations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3612fd1db5ae6426e06cce5402f60f6900359c16", "standalone_title": "Identifying conics from equations", "y_pos": 0.0, "current_revision_key": "3612fd1db5ae6426e06cce5402f60f6900359c16", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Identifying and graphing circles, ellipses, parabolas, and hyperbolas.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Identifying and graphing circles, ellipses, parabolas, and hyperbolas.", "x_pos": 4.0, "node_slug": "conic-sections", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18d95b5d", "topic_page_url": "/math/algebra/conic-sections", "extended_slug": "math/algebra/conic-sections", "slug": "conic-sections", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "713d64a09d5533090932f99b96a685ee23a28d60", "standalone_title": "Conic sections", "y_pos": 49.0, "current_revision_key": "713d64a09d5533090932f99b96a685ee23a28d60", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/algebra-matrices-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/algebra-matrices", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-matrices", "translated_standalone_title": "Matrices", "translated_title": "Matrices", "gplus_url": "", "id": "x6db71967", "old_key_name": "6bC0m9ja2A2HkigamOt2wtvNjs_t257wXPPNFEs8", "hide": false, "title": "Matrices", "child_data": [{"kind": "Topic", "id": "xa532c70e"}, {"kind": "Topic", "id": "x100f02b9"}, {"kind": "Topic", "id": "x151883e8"}, {"kind": "Topic", "id": "xd93aed07"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-matrices/Basic_matrix_operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-matrices/Basic_matrix_operations", "translated_standalone_title": "Basic matrix operations", "translated_title": "Basic matrix operations", "gplus_url": "", "id": "xa532c70e", "old_key_name": "Od42o9yxq7JDZGW1TvYUcRtCJO6ts2Tcs38DfaOS", "hide": false, "title": "Basic matrix operations", "child_data": [{"kind": "Video", "id": 1400915680}, {"kind": "Exercise", "id": 1106162193}, {"kind": "Video", "id": 1400835599}, {"kind": "Exercise", "id": 1105859514}, {"kind": "Video", "id": 1401149467}, {"kind": "Exercise", "id": 1106067541}, {"kind": "Video", "id": 1401091052}, {"kind": "Exercise", "id": 1283220979}], "children": [{"translated_youtube_id": "0oGJTQCy4cQ", "relative_url": "/video/introduction-to-the-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-matrix", "duration": 269, "translated_title": "Introduction to the matrix", "translated_description_html": "", "id": "1400915680", "description_html": "", "title": "Introduction to the matrix", "progress_key": "v1400915680", "edit_slug": "edit/v/1400915680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-the-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-22T00:13:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0oGJTQCy4cQ.mp4/0oGJTQCy4cQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0oGJTQCy4cQ.mp4/0oGJTQCy4cQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0oGJTQCy4cQ.m3u8/0oGJTQCy4cQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0oGJTQCy4cQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1400915680", "sha": "df6637f6c68d53284a74414cdd9ffa73080ccfc5", "translated_description": "", "image_url": "https://img.youtube.com/vi/0oGJTQCy4cQ/hqdefault.jpg", "youtube_id": "0oGJTQCy4cQ", "content_kind": "Video", "readable_id": "introduction-to-the-matrix"}, {"translated_youtube_id": "TbaltFbJ3wE", "relative_url": "/video/scalar-multiplication", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/scalar-multiplication", "duration": 138, "translated_title": "Scalar multiplication", "translated_description_html": "", "id": "1400835599", "description_html": "", "title": "Scalar multiplication", "progress_key": "v1400835599", "edit_slug": "edit/v/1400835599", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/scalar-multiplication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-22T00:13:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TbaltFbJ3wE.mp4/TbaltFbJ3wE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TbaltFbJ3wE.mp4/TbaltFbJ3wE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TbaltFbJ3wE.m3u8/TbaltFbJ3wE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TbaltFbJ3wE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1400835599", "sha": "a5324d5bb6723ec50166e9b9e25a985661102c06", "translated_description": "", "image_url": "https://img.youtube.com/vi/TbaltFbJ3wE/hqdefault.jpg", "youtube_id": "TbaltFbJ3wE", "content_kind": "Video", "readable_id": "scalar-multiplication"}, {"translated_youtube_id": "WR9qCSXJlyY", "relative_url": "/video/matrix-addition-and-subtraction-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/matrix-addition-and-subtraction-1", "duration": 335, "translated_title": "Matrix addition and subtraction", "translated_description_html": "", "id": "1401149467", "description_html": "", "title": "Matrix addition and subtraction", "progress_key": "v1401149467", "edit_slug": "edit/v/1401149467", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/matrix-addition-and-subtraction-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-22T01:22:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WR9qCSXJlyY.mp4/WR9qCSXJlyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WR9qCSXJlyY.mp4/WR9qCSXJlyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WR9qCSXJlyY.m3u8/WR9qCSXJlyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WR9qCSXJlyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1401149467", "sha": "4d471b83a5018b0f11fd3722b8029b4ea62e2953", "translated_description": "", "image_url": "https://img.youtube.com/vi/WR9qCSXJlyY/hqdefault.jpg", "youtube_id": "WR9qCSXJlyY", "content_kind": "Video", "readable_id": "matrix-addition-and-subtraction-1"}, {"translated_youtube_id": "TZrKrNVhbjI", "relative_url": "/video/transpose-of-a-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/transpose-of-a-matrix", "duration": 222, "translated_title": "Transpose of a matrix", "translated_description_html": "", "id": "1401091052", "description_html": "", "title": "Transpose of a matrix", "progress_key": "v1401091052", "edit_slug": "edit/v/1401091052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/transpose-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-02-22T00:12:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZrKrNVhbjI.mp4/TZrKrNVhbjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TZrKrNVhbjI.mp4/TZrKrNVhbjI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZrKrNVhbjI.m3u8/TZrKrNVhbjI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TZrKrNVhbjI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1401091052", "sha": "34816edc560e1a6178eba9405ea13aa2975d3b47", "translated_description": "", "image_url": "https://img.youtube.com/vi/TZrKrNVhbjI/hqdefault.jpg", "youtube_id": "TZrKrNVhbjI", "content_kind": "Video", "readable_id": "transpose-of-a-matrix"}], "twitter_url": "", "translated_description": "Keanu Reeves' virtual world in the The Matrix (I guess we can call all three movies \"The Matrices\") have more in common with this tutorial than you might suspect. Matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general. The super-intelligent artificial intelligences that created The Matrix for Keanu must have used many matrices in the process.\n\nThis tutorial introduces you to what a matrix is and how we define some basic operations on them.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Keanu Reeves' virtual world in the The Matrix (I guess we can call all three movies \"The Matrices\") have more in common with this tutorial than you might suspect. Matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general. The super-intelligent artificial intelligences that created The Matrix for Keanu must have used many matrices in the process.\n\nThis tutorial introduces you to what a matrix is and how we define some basic operations on them.", "x_pos": 0.0, "node_slug": "Basic_matrix_operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa532c70e", "topic_page_url": "/math/algebra/algebra-matrices/Basic_matrix_operations", "extended_slug": "math/algebra/algebra-matrices/Basic_matrix_operations", "slug": "Basic_matrix_operations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "28ea7ad5e4fbaab10c49c7102c5fcfaf0f080f32", "standalone_title": "Basic matrix operations", "y_pos": 0.0, "current_revision_key": "28ea7ad5e4fbaab10c49c7102c5fcfaf0f080f32", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-matrices/matrix_multiplication", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-matrices/matrix_multiplication", "translated_standalone_title": "Matrix multiplication", "translated_title": "Matrix multiplication", "gplus_url": "", "id": "x100f02b9", "old_key_name": "Okxe0EV98EVWu4hPDrEq4EfXSIY-95DPjjVWuCIs", "hide": false, "title": "Matrix multiplication", "child_data": [{"kind": "Video", "id": "xbb8bac0f"}, {"kind": "Exercise", "id": 1105993679}, {"kind": "Video", "id": "x07e01747"}, {"kind": "Exercise", "id": 1106173190}, {"kind": "Video", "id": "x044ecd2f"}, {"kind": "Exercise", "id": 1106113431}, {"kind": "Video", "id": 25199}, {"kind": "Video", "id": 25201}], "children": [{"translated_youtube_id": "Awcj447pYuk", "relative_url": "/video/multiplying-a-matrix-by-a-column-vector", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-a-matrix-by-a-column-vector", "duration": 237, "translated_title": "Multiplying a matrix by a column vector", "translated_description_html": "", "id": "xbb8bac0f", "description_html": "", "title": "Multiplying a matrix by a column vector", "progress_key": "vxbb8bac0f", "edit_slug": "edit/v/xbb8bac0f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-a-matrix-by-a-column-vector", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T22:58:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Awcj447pYuk.mp4/Awcj447pYuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Awcj447pYuk.mp4/Awcj447pYuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Awcj447pYuk.m3u8/Awcj447pYuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Awcj447pYuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb8bac0f", "sha": "79f3eb89ba49bfd385b88cab68e47d1bd976fada", "translated_description": "", "image_url": "https://img.youtube.com/vi/Awcj447pYuk/hqdefault.jpg", "youtube_id": "Awcj447pYuk", "content_kind": "Video", "readable_id": "multiplying-a-matrix-by-a-column-vector"}, {"translated_youtube_id": "OMA2Mwo0aZg", "relative_url": "/video/multiplying-a-matrix-by-a-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-a-matrix-by-a-matrix", "duration": 330, "translated_title": "Multiplying a matrix by a matrix", "translated_description_html": "", "id": "x07e01747", "description_html": "", "title": "Multiplying a matrix by a matrix", "progress_key": "vx07e01747", "edit_slug": "edit/v/x07e01747", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-a-matrix-by-a-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-06T22:58:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OMA2Mwo0aZg.mp4/OMA2Mwo0aZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OMA2Mwo0aZg.mp4/OMA2Mwo0aZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OMA2Mwo0aZg.m3u8/OMA2Mwo0aZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OMA2Mwo0aZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx07e01747", "sha": "d4d2abbed685397aba078f585ae93afb1145485b", "translated_description": "", "image_url": "https://img.youtube.com/vi/OMA2Mwo0aZg/hqdefault.jpg", "youtube_id": "OMA2Mwo0aZg", "content_kind": "Video", "readable_id": "multiplying-a-matrix-by-a-matrix"}, {"translated_youtube_id": "O1-9f1g0OsI", "relative_url": "/video/defined-and-undefined-matrix-operations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/defined-and-undefined-matrix-operations", "duration": 212, "translated_title": "Defined and undefined matrix operations", "translated_description_html": "", "id": "x044ecd2f", "description_html": "", "title": "Defined and undefined matrix operations", "progress_key": "vx044ecd2f", "edit_slug": "edit/v/x044ecd2f", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/defined-and-undefined-matrix-operations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-06T22:58:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O1-9f1g0OsI.mp4/O1-9f1g0OsI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O1-9f1g0OsI.mp4/O1-9f1g0OsI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O1-9f1g0OsI.m3u8/O1-9f1g0OsI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O1-9f1g0OsI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx044ecd2f", "sha": "bae5966f5c84a3186ddae1faccfd910bc6e2f14b", "translated_description": "", "image_url": "https://img.youtube.com/vi/O1-9f1g0OsI/hqdefault.jpg", "youtube_id": "O1-9f1g0OsI", "content_kind": "Video", "readable_id": "defined-and-undefined-matrix-operations"}, {"translated_youtube_id": "aKhhYguY0DQ", "relative_url": "/video/matrix-multiplication--part-1", "has_questions": false, "keywords": "matrix, multiplication, multiplying, matrices", "ka_url": "http://www.khanacademy.org/video/matrix-multiplication--part-1", "duration": 820, "translated_title": "Matrix multiplication (part 1)", "translated_description_html": "Multiplying two 2x2 matrices.", "id": "25199", "description_html": "Multiplying two 2x2 matrices.", "title": "Matrix multiplication (part 1)", "progress_key": "v25199", "edit_slug": "edit/v/25199", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying two 2x2 matrices.", "extra_properties": null, "node_slug": "v/matrix-multiplication--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aKhhYguY0DQ.mp4/aKhhYguY0DQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aKhhYguY0DQ.mp4/aKhhYguY0DQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aKhhYguY0DQ.m3u8/aKhhYguY0DQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aKhhYguY0DQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25199", "sha": "e7222cc994001de2dea944ecfb9b114fa68c595b", "translated_description": "Multiplying two 2x2 matrices.", "image_url": "https://img.youtube.com/vi/aKhhYguY0DQ/hqdefault.jpg", "youtube_id": "aKhhYguY0DQ", "content_kind": "Video", "readable_id": "matrix-multiplication--part-1"}, {"translated_youtube_id": "OAh573i_qn8", "relative_url": "/video/matrix-multiplication--part-2", "has_questions": false, "keywords": "matrix, multiplying, multiplication, matrices", "ka_url": "http://www.khanacademy.org/video/matrix-multiplication--part-2", "duration": 877, "translated_title": "Matrix multiplication (part 2)", "translated_description_html": "More on multiplying matrices.", "id": "25201", "description_html": "More on multiplying matrices.", "title": "Matrix multiplication (part 2)", "progress_key": "v25201", "edit_slug": "edit/v/25201", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on multiplying matrices.", "extra_properties": null, "node_slug": "v/matrix-multiplication--part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OAh573i_qn8.mp4/OAh573i_qn8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OAh573i_qn8.mp4/OAh573i_qn8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OAh573i_qn8.m3u8/OAh573i_qn8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OAh573i_qn8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25201", "sha": "a523f3d86303d98b528063696c55d7fcd18598d4", "translated_description": "More on multiplying matrices.", "image_url": "https://img.youtube.com/vi/OAh573i_qn8/hqdefault.jpg", "youtube_id": "OAh573i_qn8", "content_kind": "Video", "readable_id": "matrix-multiplication--part-2"}], "twitter_url": "", "translated_description": "You know what a matrix is, how to add them and multiply them by a scalar. Now we'll define multiplying one matrix by another matrix. The process may seem bizarre at first (and maybe even a little longer than that), but there is a certain naturalness to the process. When you study more advanced linear algebra and computer science, it has tons of applications (computer graphics, simulations, etc.)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what a matrix is, how to add them and multiply them by a scalar. Now we'll define multiplying one matrix by another matrix. The process may seem bizarre at first (and maybe even a little longer than that), but there is a certain naturalness to the process. When you study more advanced linear algebra and computer science, it has tons of applications (computer graphics, simulations, etc.)", "x_pos": 0.0, "node_slug": "matrix_multiplication", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T23:03:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax100f02b9", "topic_page_url": "/math/algebra/algebra-matrices/matrix_multiplication", "extended_slug": "math/algebra/algebra-matrices/matrix_multiplication", "slug": "matrix_multiplication", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5b156d4c2402b21c41877337e20daea8bc5ac7ea", "standalone_title": "Matrix multiplication", "y_pos": 0.0, "current_revision_key": "5b156d4c2402b21c41877337e20daea8bc5ac7ea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-matrices/inverting_matrices", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-matrices/inverting_matrices", "translated_standalone_title": "Inverting matrices", "translated_title": "Inverting matrices", "gplus_url": "", "id": "x151883e8", "old_key_name": "om31jY1fDNIyqaVbYCb9n0maMSIdQ4xFZbNL6A3j", "hide": false, "title": "Inverting matrices", "child_data": [{"kind": "Video", "id": 1128184016}, {"kind": "Exercise", "id": 1197684422}, {"kind": "Video", "id": 1128298896}, {"kind": "Video", "id": 25203}, {"kind": "Exercise", "id": 1283269432}, {"kind": "Video", "id": 25209}, {"kind": "Video", "id": 25211}, {"kind": "Video", "id": 1128416416}, {"kind": "Video", "id": 1128472045}, {"kind": "Exercise", "id": 1373894443}, {"kind": "Video", "id": 1128367509}, {"kind": "Video", "id": 1128279750}, {"kind": "Video", "id": 25205}, {"kind": "Video", "id": 25207}, {"kind": "Video", "id": 25213}, {"kind": "Exercise", "id": 1283137991}], "children": [{"translated_youtube_id": "OU9sWHk_dlw", "relative_url": "/video/finding-the-determinant-of-a-2x2-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-the-determinant-of-a-2x2-matrix", "duration": 70, "translated_title": "Finding the determinant of a 2x2 matrix", "translated_description_html": "Hint for finding the determinant of a 2x2 matrix", "id": "1128184016", "description_html": "Hint for finding the determinant of a 2x2 matrix", "title": "Finding the determinant of a 2x2 matrix", "progress_key": "v1128184016", "edit_slug": "edit/v/1128184016", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hint for finding the determinant of a 2x2 matrix", "extra_properties": null, "node_slug": "v/finding-the-determinant-of-a-2x2-matrix", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-11-07T18:13:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OU9sWHk_dlw.mp4/OU9sWHk_dlw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OU9sWHk_dlw.mp4/OU9sWHk_dlw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OU9sWHk_dlw.m3u8/OU9sWHk_dlw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OU9sWHk_dlw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128184016", "sha": "0a7d2f854d125853f9156e87b65470af5a6d71f6", "translated_description": "Hint for finding the determinant of a 2x2 matrix", "image_url": "https://img.youtube.com/vi/OU9sWHk_dlw/hqdefault.jpg", "youtube_id": "OU9sWHk_dlw", "content_kind": "Video", "readable_id": "finding-the-determinant-of-a-2x2-matrix"}, {"translated_youtube_id": "01c12NaUQDw", "relative_url": "/video/inverse-of-a-2x2-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inverse-of-a-2x2-matrix", "duration": 168, "translated_title": "Inverse of a 2x2 matrix", "translated_description_html": "Example of calculating the inverse of a 2x2 matrix", "id": "1128298896", "description_html": "Example of calculating the inverse of a 2x2 matrix", "title": "Inverse of a 2x2 matrix", "progress_key": "v1128298896", "edit_slug": "edit/v/1128298896", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating the inverse of a 2x2 matrix", "extra_properties": null, "node_slug": "v/inverse-of-a-2x2-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-11-07T18:32:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/01c12NaUQDw.mp4/01c12NaUQDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/01c12NaUQDw.mp4/01c12NaUQDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/01c12NaUQDw.m3u8/01c12NaUQDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=01c12NaUQDw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128298896", "sha": "71c79e3e599f67c0a1583c2d5c0ada3fafce4327", "translated_description": "Example of calculating the inverse of a 2x2 matrix", "image_url": "https://img.youtube.com/vi/01c12NaUQDw/hqdefault.jpg", "youtube_id": "01c12NaUQDw", "content_kind": "Video", "readable_id": "inverse-of-a-2x2-matrix"}, {"translated_youtube_id": "iUQR0enP7RQ", "relative_url": "/video/inverse-matrix--part-1", "has_questions": false, "keywords": "matrix, inverse, identity, inverting, matrices", "ka_url": "http://www.khanacademy.org/video/inverse-matrix--part-1", "duration": 854, "translated_title": "Idea behind inverting a 2x2 matrix", "translated_description_html": "What the inverse of a matrix is. Examples of inverting a 2x2 matrix.", "id": "25203", "description_html": "What the inverse of a matrix is. Examples of inverting a 2x2 matrix.", "title": "Idea behind inverting a 2x2 matrix", "progress_key": "v25203", "edit_slug": "edit/v/25203", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What the inverse of a matrix is. Examples of inverting a 2x2 matrix.", "extra_properties": null, "node_slug": "v/inverse-matrix--part-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iUQR0enP7RQ.mp4/iUQR0enP7RQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iUQR0enP7RQ.mp4/iUQR0enP7RQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iUQR0enP7RQ.m3u8/iUQR0enP7RQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iUQR0enP7RQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25203", "sha": "ea2911679ea5515b5f78fe587c6d22fa116f7eac", "translated_description": "What the inverse of a matrix is. Examples of inverting a 2x2 matrix.", "image_url": "https://img.youtube.com/vi/iUQR0enP7RQ/hqdefault.jpg", "youtube_id": "iUQR0enP7RQ", "content_kind": "Video", "readable_id": "inverse-matrix--part-1"}, {"translated_youtube_id": "AUqeb9Z3y3k", "relative_url": "/video/matrices-to-solve-a-system-of-equations", "has_questions": false, "keywords": "matrix, algebra, inverse, matrices", "ka_url": "http://www.khanacademy.org/video/matrices-to-solve-a-system-of-equations", "duration": 993, "translated_title": "Matrices to solve a system of equations", "translated_description_html": "Using the inverse of a matrix to solve a system of equations.", "id": "25209", "description_html": "Using the inverse of a matrix to solve a system of equations.", "title": "Matrices to solve a system of equations", "progress_key": "v25209", "edit_slug": "edit/v/25209", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the inverse of a matrix to solve a system of equations.", "extra_properties": null, "node_slug": "v/matrices-to-solve-a-system-of-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AUqeb9Z3y3k.mp4/AUqeb9Z3y3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AUqeb9Z3y3k.mp4/AUqeb9Z3y3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AUqeb9Z3y3k.m3u8/AUqeb9Z3y3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AUqeb9Z3y3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25209", "sha": "db22b972b1d7b5e3d427ff859b62c005f4ef8340", "translated_description": "Using the inverse of a matrix to solve a system of equations.", "image_url": "https://img.youtube.com/vi/AUqeb9Z3y3k/hqdefault.jpg", "youtube_id": "AUqeb9Z3y3k", "content_kind": "Video", "readable_id": "matrices-to-solve-a-system-of-equations"}, {"translated_youtube_id": "gsNgdVdAT1o", "relative_url": "/video/matrices-to-solve-a-vector-combination-problem", "has_questions": false, "keywords": "matrix, matrices, vectors", "ka_url": "http://www.khanacademy.org/video/matrices-to-solve-a-vector-combination-problem", "duration": 860, "translated_title": "Matrices to solve a vector combination problem", "translated_description_html": "Using matrices to figure out if some combination of 2 vectors can create a 3rd vector", "id": "25211", "description_html": "Using matrices to figure out if some combination of 2 vectors can create a 3rd vector", "title": "Matrices to solve a vector combination problem", "progress_key": "v25211", "edit_slug": "edit/v/25211", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using matrices to figure out if some combination of 2 vectors can create a 3rd vector", "extra_properties": null, "node_slug": "v/matrices-to-solve-a-vector-combination-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gsNgdVdAT1o.mp4/gsNgdVdAT1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gsNgdVdAT1o.mp4/gsNgdVdAT1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gsNgdVdAT1o.m3u8/gsNgdVdAT1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gsNgdVdAT1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25211", "sha": "ba9c9de3ab09fcfa01ddcab5f96d4a0da2ecc475", "translated_description": "Using matrices to figure out if some combination of 2 vectors can create a 3rd vector", "image_url": "https://img.youtube.com/vi/gsNgdVdAT1o/hqdefault.jpg", "youtube_id": "gsNgdVdAT1o", "content_kind": "Video", "readable_id": "matrices-to-solve-a-vector-combination-problem"}, {"translated_youtube_id": "v4MenooI1J0", "relative_url": "/video/finding-the-determinant-of-a-3x3-matrix-method-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-the-determinant-of-a-3x3-matrix-method-1", "duration": 159, "translated_title": "Finding the determinant of a 3x3 matrix method 1", "translated_description_html": "", "id": "1128416416", "description_html": "", "title": "Finding the determinant of a 3x3 matrix method 1", "progress_key": "v1128416416", "edit_slug": "edit/v/1128416416", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/finding-the-determinant-of-a-3x3-matrix-method-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-11-07T18:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v4MenooI1J0.mp4/v4MenooI1J0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v4MenooI1J0.mp4/v4MenooI1J0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v4MenooI1J0.m3u8/v4MenooI1J0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v4MenooI1J0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128416416", "sha": "1e2022701148413ba8ea6eea2795e2689b77cb51", "translated_description": "", "image_url": "https://img.youtube.com/vi/v4MenooI1J0/hqdefault.jpg", "youtube_id": "v4MenooI1J0", "content_kind": "Video", "readable_id": "finding-the-determinant-of-a-3x3-matrix-method-1"}, {"translated_youtube_id": "u00I3MCrspU", "relative_url": "/video/finding-the-determinant-of-a-3x3-matrix-method-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-the-determinant-of-a-3x3-matrix-method-2", "duration": 237, "translated_title": "Finding the determinant of a 3x3 matrix method 2", "translated_description_html": "", "id": "1128472045", "description_html": "", "title": "Finding the determinant of a 3x3 matrix method 2", "progress_key": "v1128472045", "edit_slug": "edit/v/1128472045", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/finding-the-determinant-of-a-3x3-matrix-method-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-07T18:35:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u00I3MCrspU.mp4/u00I3MCrspU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u00I3MCrspU.mp4/u00I3MCrspU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u00I3MCrspU.m3u8/u00I3MCrspU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u00I3MCrspU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128472045", "sha": "1397ef89acf563aa5fd736a6caa7128a712eff61", "translated_description": "", "image_url": "https://img.youtube.com/vi/u00I3MCrspU/hqdefault.jpg", "youtube_id": "u00I3MCrspU", "content_kind": "Video", "readable_id": "finding-the-determinant-of-a-3x3-matrix-method-2"}, {"translated_youtube_id": "xZBbfLLfVV4", "relative_url": "/video/inverting-3x3-part-1--calculating-matrix-of-minors-and-cofactor-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inverting-3x3-part-1--calculating-matrix-of-minors-and-cofactor-matrix", "duration": 527, "translated_title": "Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix", "translated_description_html": "Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.", "id": "1128367509", "description_html": "Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.", "title": "Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix", "progress_key": "v1128367509", "edit_slug": "edit/v/1128367509", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.", "extra_properties": null, "node_slug": "v/inverting-3x3-part-1--calculating-matrix-of-minors-and-cofactor-matrix", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-07T18:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xZBbfLLfVV4.mp4/xZBbfLLfVV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xZBbfLLfVV4.mp4/xZBbfLLfVV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xZBbfLLfVV4.m3u8/xZBbfLLfVV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xZBbfLLfVV4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128367509", "sha": "4cc5906c5a85ade90c13799b8d5c501d6c5c69b8", "translated_description": "Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.", "image_url": "https://img.youtube.com/vi/xZBbfLLfVV4/hqdefault.jpg", "youtube_id": "xZBbfLLfVV4", "content_kind": "Video", "readable_id": "inverting-3x3-part-1--calculating-matrix-of-minors-and-cofactor-matrix"}, {"translated_youtube_id": "ArcrdMkEmKo", "relative_url": "/video/inverting-3x3-part-2--determinant-and-adjugate-of-a-matrix", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inverting-3x3-part-2--determinant-and-adjugate-of-a-matrix", "duration": 383, "translated_title": "Inverting 3x3 part 2: Determinant and adjugate of a matrix", "translated_description_html": "Finishing up our 3x3 matrix inversion", "id": "1128279750", "description_html": "Finishing up our 3x3 matrix inversion", "title": "Inverting 3x3 part 2: Determinant and adjugate of a matrix", "progress_key": "v1128279750", "edit_slug": "edit/v/1128279750", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finishing up our 3x3 matrix inversion", "extra_properties": null, "node_slug": "v/inverting-3x3-part-2--determinant-and-adjugate-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-07T18:33:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ArcrdMkEmKo.mp4/ArcrdMkEmKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ArcrdMkEmKo.mp4/ArcrdMkEmKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ArcrdMkEmKo.m3u8/ArcrdMkEmKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ArcrdMkEmKo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1128279750", "sha": "52c02f84e42265b04a60bdd187705f73bdd9406c", "translated_description": "Finishing up our 3x3 matrix inversion", "image_url": "https://img.youtube.com/vi/ArcrdMkEmKo/hqdefault.jpg", "youtube_id": "ArcrdMkEmKo", "content_kind": "Video", "readable_id": "inverting-3x3-part-2--determinant-and-adjugate-of-a-matrix"}, {"translated_youtube_id": "S4n-tQZnU6o", "relative_url": "/video/inverting-matrices--part-2", "has_questions": false, "keywords": "inverting, inverse, matrix, matrices", "ka_url": "http://www.khanacademy.org/video/inverting-matrices--part-2", "duration": 1004, "translated_title": "Classic video on inverting a 3x3 matrix part 1", "translated_description_html": "

Inverting a 3x3 matrix<\/p>\n", "id": "25205", "description_html": "

Inverting a 3x3 matrix<\/p>\n", "title": "Classic video on inverting a 3x3 matrix part 1", "progress_key": "v25205", "edit_slug": "edit/v/25205", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inverting a 3x3 matrix\n", "extra_properties": {"original_url": ""}, "node_slug": "v/inverting-matrices--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S4n-tQZnU6o.mp4/S4n-tQZnU6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S4n-tQZnU6o.mp4/S4n-tQZnU6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S4n-tQZnU6o.m3u8/S4n-tQZnU6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S4n-tQZnU6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25205", "sha": "bcae9db2620d093e4dc80bba806194747ea4e712", "translated_description": "Inverting a 3x3 matrix\n", "image_url": "https://img.youtube.com/vi/S4n-tQZnU6o/hqdefault.jpg", "youtube_id": "S4n-tQZnU6o", "content_kind": "Video", "readable_id": "inverting-matrices--part-2"}, {"translated_youtube_id": "obts_JDS6_Q", "relative_url": "/video/inverting-matrices--part-3", "has_questions": false, "keywords": "gauss, jordan, reduced, row, echelon, elimination, matrix, inverse", "ka_url": "http://www.khanacademy.org/video/inverting-matrices--part-3", "duration": 816, "translated_title": "Classic video on inverting a 3x3 matrix part 2", "translated_description_html": "

Using Gauss-Jordan elimination to invert a 3x3 matrix.<\/p>\n", "id": "25207", "description_html": "

Using Gauss-Jordan elimination to invert a 3x3 matrix.<\/p>\n", "title": "Classic video on inverting a 3x3 matrix part 2", "progress_key": "v25207", "edit_slug": "edit/v/25207", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Gauss-Jordan elimination to invert a 3x3 matrix.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/inverting-matrices--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/obts_JDS6_Q.mp4/obts_JDS6_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/obts_JDS6_Q.mp4/obts_JDS6_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/obts_JDS6_Q.m3u8/obts_JDS6_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=obts_JDS6_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25207", "sha": "f0ea159938f82cf310b228540871c1b56ed5adf1", "translated_description": "Using Gauss-Jordan elimination to invert a 3x3 matrix.\n", "image_url": "https://img.youtube.com/vi/obts_JDS6_Q/hqdefault.jpg", "youtube_id": "obts_JDS6_Q", "content_kind": "Video", "readable_id": "inverting-matrices--part-3"}, {"translated_youtube_id": "UqyN7-tRS00", "relative_url": "/video/singular-matrices", "has_questions": false, "keywords": "matrix, matrices, inverse, singular, determinant", "ka_url": "http://www.khanacademy.org/video/singular-matrices", "duration": 867, "translated_title": "Singular matrices", "translated_description_html": "When and why you can't invert a matrix.", "id": "25213", "description_html": "When and why you can't invert a matrix.", "title": "Singular matrices", "progress_key": "v25213", "edit_slug": "edit/v/25213", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "When and why you can't invert a matrix.", "extra_properties": null, "node_slug": "v/singular-matrices", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UqyN7-tRS00.mp4/UqyN7-tRS00.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UqyN7-tRS00.mp4/UqyN7-tRS00.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UqyN7-tRS00.m3u8/UqyN7-tRS00.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UqyN7-tRS00&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25213", "sha": "3b4e60bc14c824ebac8b41a4868794cc54c7065a", "translated_description": "When and why you can't invert a matrix.", "image_url": "https://img.youtube.com/vi/UqyN7-tRS00/hqdefault.jpg", "youtube_id": "UqyN7-tRS00", "content_kind": "Video", "readable_id": "singular-matrices"}], "twitter_url": "", "translated_description": "Multiplying by the inverse of a matrix is the closest thing we have to matrix division. Like multiplying a regular number by its reciprocal to get 1, multiplying a matrix by its inverse gives us the identity matrix (1 could be thought of as the \"identity scalar\").\n\nThis tutorial will walk you through this sometimes involved process which will become bizarrely fun once you get the hang of it.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Multiplying by the inverse of a matrix is the closest thing we have to matrix division. Like multiplying a regular number by its reciprocal to get 1, multiplying a matrix by its inverse gives us the identity matrix (1 could be thought of as the \"identity scalar\").\n\nThis tutorial will walk you through this sometimes involved process which will become bizarrely fun once you get the hang of it.", "x_pos": 0.0, "node_slug": "inverting_matrices", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T18:54:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax151883e8", "topic_page_url": "/math/algebra/algebra-matrices/inverting_matrices", "extended_slug": "math/algebra/algebra-matrices/inverting_matrices", "slug": "inverting_matrices", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "226ebcab8a0cc67731313cfd6ea38d6fbf0ae138", "standalone_title": "Inverting matrices", "y_pos": 0.0, "current_revision_key": "226ebcab8a0cc67731313cfd6ea38d6fbf0ae138", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/algebra-matrices/reduced_row_echelon", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/algebra-matrices/reduced_row_echelon", "translated_standalone_title": "Reduced row echelon form", "translated_title": "Reduced row echelon form", "gplus_url": "", "id": "xd93aed07", "old_key_name": "jwAoFYFZRYDSlyWaEhpNYe0DpTcQKZCQGZrvUyEn", "hide": false, "title": "Reduced row echelon form", "child_data": [{"kind": "Video", "id": 25255}, {"kind": "Video", "id": 25257}, {"kind": "Video", "id": 25259}], "children": [{"translated_youtube_id": "L0CmbneYETs", "relative_url": "/video/matrices--reduced-row-echelon-form-1", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-1", "duration": 1063, "translated_title": "Matrices: Reduced row echelon form 1", "translated_description_html": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25255", "description_html": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 1", "progress_key": "v25255", "edit_slug": "edit/v/25255", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.m3u8/L0CmbneYETs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L0CmbneYETs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25255", "sha": "4d8108a2cca9b2303836de3d1d06dbd244c92c69", "translated_description": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/L0CmbneYETs/hqdefault.jpg", "youtube_id": "L0CmbneYETs", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-1"}, {"translated_youtube_id": "lP1DGtZ8Wys", "relative_url": "/video/matrices--reduced-row-echelon-form-2", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-2", "duration": 457, "translated_title": "Matrices: Reduced row echelon form 2", "translated_description_html": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25257", "description_html": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 2", "progress_key": "v25257", "edit_slug": "edit/v/25257", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.m3u8/lP1DGtZ8Wys.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lP1DGtZ8Wys&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25257", "sha": "a04159622273289890c69093dab9e9a26c9b1e1d", "translated_description": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/lP1DGtZ8Wys/hqdefault.jpg", "youtube_id": "lP1DGtZ8Wys", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-2"}, {"translated_youtube_id": "JVDrlTdzxiI", "relative_url": "/video/matrices--reduced-row-echelon-form-3", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-3", "duration": 728, "translated_title": "Matrices: Reduced row echelon form 3", "translated_description_html": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25259", "description_html": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 3", "progress_key": "v25259", "edit_slug": "edit/v/25259", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.m3u8/JVDrlTdzxiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVDrlTdzxiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25259", "sha": "fffa22b58b0345bbe67de39d6a15a76607d8bd10", "translated_description": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/JVDrlTdzxiI/hqdefault.jpg", "youtube_id": "JVDrlTdzxiI", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-3"}], "twitter_url": "", "translated_description": "You've probably already appreciated that there are many ways to solve a system of equations. Well, we'll introduce you to another one in this tutorial. Reduced row echelon form has us performing operations on matrices to get them in a form that helps us solve the system.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've probably already appreciated that there are many ways to solve a system of equations. Well, we'll introduce you to another one in this tutorial. Reduced row echelon form has us performing operations on matrices to get them in a form that helps us solve the system.", "x_pos": 0.0, "node_slug": "reduced_row_echelon", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd93aed07", "topic_page_url": "/math/algebra/algebra-matrices/reduced_row_echelon", "extended_slug": "math/algebra/algebra-matrices/reduced_row_echelon", "slug": "reduced_row_echelon", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "465fb1091a55a21c090f9f14ab13a01ffa7ac2f9", "standalone_title": "Reduced row echelon form", "y_pos": 0.0, "current_revision_key": "465fb1091a55a21c090f9f14ab13a01ffa7ac2f9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding and solving matrices.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding and solving matrices.", "x_pos": 18.0, "node_slug": "algebra-matrices", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6db71967", "topic_page_url": "/math/algebra/algebra-matrices", "extended_slug": "math/algebra/algebra-matrices", "slug": "algebra-matrices", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "59238bab95a1f6bbb760ed94c712086f2d4f47c5", "standalone_title": "Matrices", "y_pos": 51.5, "current_revision_key": "59238bab95a1f6bbb760ed94c712086f2d4f47c5", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/complex-numbers-40x40.png", "domain_slug": "math", "relative_url": "/math/algebra/complex-numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/complex-numbers", "translated_standalone_title": "Complex numbers", "translated_title": "Imaginary and complex numbers", "gplus_url": "", "id": "xd7a3ca35", "old_key_name": "iYzaSYnmicOVqDRgZ3-F6uu7_YRWkGarVgmzfjlP", "hide": false, "title": "Imaginary and complex numbers", "child_data": [{"kind": "Topic", "id": "x6ed7d17e"}, {"kind": "Topic", "id": "x4d2f17e6"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/complex-numbers/imaginary_unit_i", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/complex-numbers/imaginary_unit_i", "translated_standalone_title": "The imaginary unit i", "translated_title": "The imaginary unit i", "gplus_url": "", "id": "x6ed7d17e", "old_key_name": "AVF4M5TNoeLVRk8-yVA5W7xPRH2dcxNJPDCZN7pf", "hide": false, "title": "The imaginary unit i", "child_data": [{"kind": "Video", "id": 145918385}, {"kind": "Video", "id": 145918384}, {"kind": "Exercise", "id": 523254889}, {"kind": "Video", "id": 150088079}, {"kind": "Video", "id": 148079183}], "children": [{"translated_youtube_id": "ysVcAYo7UPI", "relative_url": "/video/introduction-to-i-and-imaginary-numbers", "has_questions": false, "keywords": "imaginary, unit, complex, numbers, exponents", "ka_url": "http://www.khanacademy.org/video/introduction-to-i-and-imaginary-numbers", "duration": 320, "translated_title": "Introduction to i and imaginary numbers", "translated_description_html": "Introduction to i and imaginary numbers", "id": "145918385", "description_html": "Introduction to i and imaginary numbers", "title": "Introduction to i and imaginary numbers", "progress_key": "v145918385", "edit_slug": "edit/v/145918385", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to i and imaginary numbers", "extra_properties": null, "node_slug": "v/introduction-to-i-and-imaginary-numbers", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-11T23:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.mp4/ysVcAYo7UPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.mp4/ysVcAYo7UPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.m3u8/ysVcAYo7UPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ysVcAYo7UPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145918385", "sha": "f4488180a39b0d25c6fa65c642550156f02a69ee", "translated_description": "Introduction to i and imaginary numbers", "image_url": "https://img.youtube.com/vi/ysVcAYo7UPI/hqdefault.jpg", "youtube_id": "ysVcAYo7UPI", "content_kind": "Video", "readable_id": "introduction-to-i-and-imaginary-numbers"}, {"translated_youtube_id": "QiwfF83NWNA", "relative_url": "/video/calculating-i-raised-to-arbitrary-exponents", "has_questions": false, "keywords": "complex, imaginary, numbers", "ka_url": "http://www.khanacademy.org/video/calculating-i-raised-to-arbitrary-exponents", "duration": 380, "translated_title": "Calculating i raised to arbitrary exponents", "translated_description_html": "Calculating i raised to arbitrarily high exponents", "id": "145918384", "description_html": "Calculating i raised to arbitrarily high exponents", "title": "Calculating i raised to arbitrary exponents", "progress_key": "v145918384", "edit_slug": "edit/v/145918384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating i raised to arbitrarily high exponents", "extra_properties": null, "node_slug": "v/calculating-i-raised-to-arbitrary-exponents", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-11T23:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.mp4/QiwfF83NWNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.mp4/QiwfF83NWNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.m3u8/QiwfF83NWNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QiwfF83NWNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145918384", "sha": "7f9b971b5d5b8fa3f4c30c00ce1df0b26fc22843", "translated_description": "Calculating i raised to arbitrarily high exponents", "image_url": "https://img.youtube.com/vi/QiwfF83NWNA/hqdefault.jpg", "youtube_id": "QiwfF83NWNA", "content_kind": "Video", "readable_id": "calculating-i-raised-to-arbitrary-exponents"}, {"translated_youtube_id": "s03qez-6JMA", "relative_url": "/video/imaginary-roots-of-negative-numbers", "has_questions": false, "keywords": "u16_l4_t1_we2, Imaginary, Roots, of, Negative, Numbers", "ka_url": "http://www.khanacademy.org/video/imaginary-roots-of-negative-numbers", "duration": 244, "translated_title": "Imaginary roots of negative numbers", "translated_description_html": "Imaginary Roots of Negative Numbers", "id": "150088079", "description_html": "Imaginary Roots of Negative Numbers", "title": "Imaginary roots of negative numbers", "progress_key": "v150088079", "edit_slug": "edit/v/150088079", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Imaginary Roots of Negative Numbers", "extra_properties": null, "node_slug": "v/imaginary-roots-of-negative-numbers", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.mp4/s03qez-6JMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.mp4/s03qez-6JMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.m3u8/s03qez-6JMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s03qez-6JMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088079", "sha": "a6dbb06f7a9a432c28062e53cf10e8bd3a78b7ba", "translated_description": "Imaginary Roots of Negative Numbers", "image_url": "https://img.youtube.com/vi/s03qez-6JMA/hqdefault.jpg", "youtube_id": "s03qez-6JMA", "content_kind": "Video", "readable_id": "imaginary-roots-of-negative-numbers"}, {"translated_youtube_id": "rYG1D5lUE4I", "relative_url": "/video/i-as-the-principal-root-of--1--a-little-technical", "has_questions": false, "keywords": "complex, imagnary, numbers", "ka_url": "http://www.khanacademy.org/video/i-as-the-principal-root-of--1--a-little-technical", "duration": 404, "translated_title": "i as the principal root of -1 (a little technical)", "translated_description_html": "i as the principal square root of -1", "id": "148079183", "description_html": "i as the principal square root of -1", "title": "i as the principal root of -1 (a little technical)", "progress_key": "v148079183", "edit_slug": "edit/v/148079183", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "i as the principal square root of -1", "extra_properties": null, "node_slug": "v/i-as-the-principal-root-of--1--a-little-technical", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-12T23:26:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.m3u8/rYG1D5lUE4I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rYG1D5lUE4I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v148079183", "sha": "7e99e7415e85486b717b6f50ed3a4ed1e352943f", "translated_description": "i as the principal square root of -1", "image_url": "https://img.youtube.com/vi/rYG1D5lUE4I/hqdefault.jpg", "youtube_id": "rYG1D5lUE4I", "content_kind": "Video", "readable_id": "i-as-the-principal-root-of--1--a-little-technical"}], "twitter_url": "", "translated_description": "This is where math starts to get really cool. It may seem strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is where math starts to get really cool. It may seem strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", "x_pos": 0.0, "node_slug": "imaginary_unit_i", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6ed7d17e", "topic_page_url": "/math/algebra/complex-numbers/imaginary_unit_i", "extended_slug": "math/algebra/complex-numbers/imaginary_unit_i", "slug": "imaginary_unit_i", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c5d818591bb327528c27031f652de65fb817f911", "standalone_title": "The imaginary unit i", "y_pos": 0.0, "current_revision_key": "c5d818591bb327528c27031f652de65fb817f911", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/algebra/complex-numbers/complex_numbers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers", "translated_standalone_title": "Complex numbers", "translated_title": "Complex numbers", "gplus_url": "", "id": "x4d2f17e6", "old_key_name": "IFd_9hlsSLzYaHEimmV0s4uRSCaOJvn3yb9fE8qm", "hide": false, "title": "Complex numbers", "child_data": [{"kind": "Video", "id": 150088082}, {"kind": "Video", "id": 23488}, {"kind": "Video", "id": 23490}, {"kind": "Video", "id": "x21268ed3"}, {"kind": "Exercise", "id": 523235921}, {"kind": "Video", "id": 150088080}, {"kind": "Video", "id": 150088077}, {"kind": "Exercise", "id": 523319125}, {"kind": "Video", "id": 150088076}, {"kind": "Exercise", "id": 523337087}, {"kind": "Video", "id": 150088078}, {"kind": "Video", "id": 150088083}, {"kind": "Exercise", "id": 523311311}, {"kind": "Video", "id": "x49eee15a"}, {"kind": "Exercise", "id": 523341553}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 150088081}, {"kind": "Video", "id": 24406}], "children": [{"translated_youtube_id": "MEuPzvh0roM", "relative_url": "/video/complex-numbers", "has_questions": false, "keywords": "u16_l4_t1_we1, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/complex-numbers", "duration": 141, "translated_title": "Complex numbers", "translated_description_html": "

Complex Numbers<\/p>\n", "id": "150088082", "description_html": "

Complex Numbers<\/p>\n", "title": "Complex numbers", "progress_key": "v150088082", "edit_slug": "edit/v/150088082", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Numbers\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.m3u8/MEuPzvh0roM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MEuPzvh0roM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088082", "sha": "1ce3dbbb811df7168e40efefba03317c0c676c78", "translated_description": "Complex Numbers\n", "image_url": "https://img.youtube.com/vi/MEuPzvh0roM/hqdefault.jpg", "youtube_id": "MEuPzvh0roM", "content_kind": "Video", "readable_id": "complex-numbers"}, {"translated_youtube_id": "kpywdu1afas", "relative_url": "/video/complex-numbers--part-1", "has_questions": false, "keywords": "math, complex, imaginary, numbers", "ka_url": "http://www.khanacademy.org/video/complex-numbers--part-1", "duration": 610, "translated_title": "Complex numbers (part 1)", "translated_description_html": "

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.<\/p>\n", "id": "23488", "description_html": "

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.<\/p>\n", "title": "Complex numbers (part 1)", "progress_key": "v23488", "edit_slug": "edit/v/23488", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.m3u8/kpywdu1afas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kpywdu1afas&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23488", "sha": "828a3a7a8a9a2d7b5e56a5a823d456944fd0d29f", "translated_description": "Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.\n", "image_url": "https://img.youtube.com/vi/kpywdu1afas/hqdefault.jpg", "youtube_id": "kpywdu1afas", "content_kind": "Video", "readable_id": "complex-numbers--part-1"}, {"translated_youtube_id": "bPqB9a1uk_8", "relative_url": "/video/complex-numbers--part-2", "has_questions": false, "keywords": "Complex, number, division, conjugate, math", "ka_url": "http://www.khanacademy.org/video/complex-numbers--part-2", "duration": 538, "translated_title": "Complex numbers (part 2)", "translated_description_html": "

Dividing complex numbers. Complex conjugates.<\/p>\n", "id": "23490", "description_html": "

Dividing complex numbers. Complex conjugates.<\/p>\n", "title": "Complex numbers (part 2)", "progress_key": "v23490", "edit_slug": "edit/v/23490", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing complex numbers. Complex conjugates.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.mp4/bPqB9a1uk_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.mp4/bPqB9a1uk_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.m3u8/bPqB9a1uk_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bPqB9a1uk_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23490", "sha": "ca456e77bc8a77926b705260b9fc72d651b6290c", "translated_description": "Dividing complex numbers. Complex conjugates.\n", "image_url": "https://img.youtube.com/vi/bPqB9a1uk_8/hqdefault.jpg", "youtube_id": "bPqB9a1uk_8", "content_kind": "Video", "readable_id": "complex-numbers--part-2"}, {"translated_youtube_id": "kGzXIbauGQk", "relative_url": "/video/plotting-complex-numbers-on-the-complex-plane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/plotting-complex-numbers-on-the-complex-plane", "duration": 74, "translated_title": "Plotting complex numbers on the complex plane", "translated_description_html": "", "id": "x21268ed3", "description_html": "", "title": "Plotting complex numbers on the complex plane", "progress_key": "vx21268ed3", "edit_slug": "edit/v/x21268ed3", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/plotting-complex-numbers-on-the-complex-plane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-15T01:12:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kGzXIbauGQk.mp4/kGzXIbauGQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kGzXIbauGQk.mp4/kGzXIbauGQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kGzXIbauGQk.m3u8/kGzXIbauGQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kGzXIbauGQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx21268ed3", "sha": "725db068f897d0e31cad4a142e20d1d246b32d02", "translated_description": "", "image_url": "https://img.youtube.com/vi/kGzXIbauGQk/hqdefault.jpg", "youtube_id": "kGzXIbauGQk", "content_kind": "Video", "readable_id": "plotting-complex-numbers-on-the-complex-plane"}, {"translated_youtube_id": "SfbjqVyQljk", "relative_url": "/video/adding-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we1, Adding, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/adding-complex-numbers", "duration": 71, "translated_title": "Adding complex numbers", "translated_description_html": "Adding Complex Numbers", "id": "150088080", "description_html": "Adding Complex Numbers", "title": "Adding complex numbers", "progress_key": "v150088080", "edit_slug": "edit/v/150088080", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Complex Numbers", "extra_properties": null, "node_slug": "v/adding-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.m3u8/SfbjqVyQljk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SfbjqVyQljk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088080", "sha": "6abe65ac1c11acafbfc3bc713ccf3eeb8e75853f", "translated_description": "Adding Complex Numbers", "image_url": "https://img.youtube.com/vi/SfbjqVyQljk/hqdefault.jpg", "youtube_id": "SfbjqVyQljk", "content_kind": "Video", "readable_id": "adding-complex-numbers"}, {"translated_youtube_id": "tvXRaZbIjO8", "relative_url": "/video/subtracting-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we2, Subtracting, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/subtracting-complex-numbers", "duration": 113, "translated_title": "Subtracting complex numbers", "translated_description_html": "Subtracting Complex Numbers", "id": "150088077", "description_html": "Subtracting Complex Numbers", "title": "Subtracting complex numbers", "progress_key": "v150088077", "edit_slug": "edit/v/150088077", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Complex Numbers", "extra_properties": null, "node_slug": "v/subtracting-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.mp4/tvXRaZbIjO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.mp4/tvXRaZbIjO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.m3u8/tvXRaZbIjO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvXRaZbIjO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088077", "sha": "bf13665ae42fab390e085046869e292ef9122230", "translated_description": "Subtracting Complex Numbers", "image_url": "https://img.youtube.com/vi/tvXRaZbIjO8/hqdefault.jpg", "youtube_id": "tvXRaZbIjO8", "content_kind": "Video", "readable_id": "subtracting-complex-numbers"}, {"translated_youtube_id": "cWn6g8Qqvs4", "relative_url": "/video/multiplying-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we3, Multiplying, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/multiplying-complex-numbers", "duration": 332, "translated_title": "Multiplying complex numbers", "translated_description_html": "Multiplying Complex Numbers", "id": "150088076", "description_html": "Multiplying Complex Numbers", "title": "Multiplying complex numbers", "progress_key": "v150088076", "edit_slug": "edit/v/150088076", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Complex Numbers", "extra_properties": null, "node_slug": "v/multiplying-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.m3u8/cWn6g8Qqvs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cWn6g8Qqvs4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088076", "sha": "b4abda34424999c63397b51866d36f5ae61b79cb", "translated_description": "Multiplying Complex Numbers", "image_url": "https://img.youtube.com/vi/cWn6g8Qqvs4/hqdefault.jpg", "youtube_id": "cWn6g8Qqvs4", "content_kind": "Video", "readable_id": "multiplying-complex-numbers"}, {"translated_youtube_id": "dbxJ6LD0344", "relative_url": "/video/complex-conjugates-example", "has_questions": false, "keywords": "u16_l4_t2_we4, Complex, Conjugates", "ka_url": "http://www.khanacademy.org/video/complex-conjugates-example", "duration": 241, "translated_title": "Complex conjugates example", "translated_description_html": "Complex Conjugates", "id": "150088078", "description_html": "Complex Conjugates", "title": "Complex conjugates example", "progress_key": "v150088078", "edit_slug": "edit/v/150088078", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Conjugates", "extra_properties": null, "node_slug": "v/complex-conjugates-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.mp4/dbxJ6LD0344.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.mp4/dbxJ6LD0344.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.m3u8/dbxJ6LD0344.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dbxJ6LD0344&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088078", "sha": "73f00fd198daab605291241795baff9ca0724781", "translated_description": "Complex Conjugates", "image_url": "https://img.youtube.com/vi/dbxJ6LD0344/hqdefault.jpg", "youtube_id": "dbxJ6LD0344", "content_kind": "Video", "readable_id": "complex-conjugates-example"}, {"translated_youtube_id": "Z8j5RDOibV4", "relative_url": "/video/dividing-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we5, Dividing, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/dividing-complex-numbers", "duration": 298, "translated_title": "Dividing complex numbers", "translated_description_html": "Dividing Complex Numbers", "id": "150088083", "description_html": "Dividing Complex Numbers", "title": "Dividing complex numbers", "progress_key": "v150088083", "edit_slug": "edit/v/150088083", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Complex Numbers", "extra_properties": null, "node_slug": "v/dividing-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.m3u8/Z8j5RDOibV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z8j5RDOibV4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088083", "sha": "ebb2309a0c0247280d2fde25723279e6d4201958", "translated_description": "Dividing Complex Numbers", "image_url": "https://img.youtube.com/vi/Z8j5RDOibV4/hqdefault.jpg", "youtube_id": "Z8j5RDOibV4", "content_kind": "Video", "readable_id": "dividing-complex-numbers"}, {"translated_youtube_id": "yvzyC4VBpUU", "relative_url": "/video/absolute-value-of-a-complex-number", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/absolute-value-of-a-complex-number", "duration": 213, "translated_title": "Absolute value of a complex number", "translated_description_html": "", "id": "x49eee15a", "description_html": "", "title": "Absolute value of a complex number", "progress_key": "vx49eee15a", "edit_slug": "edit/v/x49eee15a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/absolute-value-of-a-complex-number", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-19T17:16:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yvzyC4VBpUU.mp4/yvzyC4VBpUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yvzyC4VBpUU.mp4/yvzyC4VBpUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yvzyC4VBpUU.m3u8/yvzyC4VBpUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yvzyC4VBpUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx49eee15a", "sha": "7cb619cb889c769b890cd122f5f47fd52921444c", "translated_description": "", "image_url": "https://img.youtube.com/vi/yvzyC4VBpUU/hqdefault.jpg", "youtube_id": "yvzyC4VBpUU", "content_kind": "Video", "readable_id": "absolute-value-of-a-complex-number"}, {"translated_youtube_id": "dnjK4DPqh0k", "relative_url": "/video/complex-roots-from-the-quadratic-formula", "has_questions": false, "keywords": "u16_l5_t2_we3, Complex, Roots, from, the, Quadratic, Formula", "ka_url": "http://www.khanacademy.org/video/complex-roots-from-the-quadratic-formula", "duration": 615, "translated_title": "Example: Complex roots for a quadratic", "translated_description_html": "Complex Roots from the Quadratic Formula", "id": "150088081", "description_html": "Complex Roots from the Quadratic Formula", "title": "Example: Complex roots for a quadratic", "progress_key": "v150088081", "edit_slug": "edit/v/150088081", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Roots from the Quadratic Formula", "extra_properties": null, "node_slug": "v/complex-roots-from-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.m3u8/dnjK4DPqh0k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dnjK4DPqh0k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088081", "sha": "79bd5d5ab14bebae0bcaced835a4deaf665fb6cf", "translated_description": "Complex Roots from the Quadratic Formula", "image_url": "https://img.youtube.com/vi/dnjK4DPqh0k/hqdefault.jpg", "youtube_id": "dnjK4DPqh0k", "content_kind": "Video", "readable_id": "complex-roots-from-the-quadratic-formula"}, {"translated_youtube_id": "C-2Ln0pK3kY", "relative_url": "/video/algebra-ii--imaginary-and-complex-numbers", "has_questions": false, "keywords": "algebra, complex, imaginary", "ka_url": "http://www.khanacademy.org/video/algebra-ii--imaginary-and-complex-numbers", "duration": 595, "translated_title": "Algebra II: Imaginary and complex numbers", "translated_description_html": "23-26, mostly imaginary and complex numbers", "id": "24406", "description_html": "23-26, mostly imaginary and complex numbers", "title": "Algebra II: Imaginary and complex numbers", "progress_key": "v24406", "edit_slug": "edit/v/24406", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "23-26, mostly imaginary and complex numbers", "extra_properties": null, "node_slug": "v/algebra-ii--imaginary-and-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.mp4/C-2Ln0pK3kY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.mp4/C-2Ln0pK3kY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.m3u8/C-2Ln0pK3kY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C-2Ln0pK3kY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24406", "sha": "1a6fbbdf453ae7a653213bd6284ebca740a82e92", "translated_description": "23-26, mostly imaginary and complex numbers", "image_url": "https://img.youtube.com/vi/C-2Ln0pK3kY/hqdefault.jpg", "youtube_id": "C-2Ln0pK3kY", "content_kind": "Video", "readable_id": "algebra-ii--imaginary-and-complex-numbers"}], "twitter_url": "", "translated_description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", "x_pos": 0.0, "node_slug": "complex_numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-19T17:20:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d2f17e6", "topic_page_url": "/math/algebra/complex-numbers/complex_numbers", "extended_slug": "math/algebra/complex-numbers/complex_numbers", "slug": "complex_numbers", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "cf44b82aa9025422ad98697595e4394598f1f1a6", "standalone_title": "Complex numbers", "y_pos": 0.0, "current_revision_key": "cf44b82aa9025422ad98697595e4394598f1f1a6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding and solving equations with imaginary numbers.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Understanding and solving equations with imaginary numbers.", "x_pos": -12.0, "node_slug": "complex-numbers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7a3ca35", "topic_page_url": "/math/algebra/complex-numbers", "extended_slug": "math/algebra/complex-numbers", "slug": "complex-numbers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4e15dbffa58ba7ca150fdd29d5cc4f092df569bb", "standalone_title": "Complex numbers", "y_pos": 49.0, "current_revision_key": "4e15dbffa58ba7ca150fdd29d5cc4f092df569bb", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists. ", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists. ", "x_pos": 0.0, "node_slug": "algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-20T20:38:04Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcf876fe7", "topic_page_url": "/math/algebra", "extended_slug": "math/algebra", "slug": "algebra", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "aa27257f2118d0ca0da719ad9eb52a59a1ddfad6", "standalone_title": "Algebra", "y_pos": 0.0, "current_revision_key": "aa27257f2118d0ca0da719ad9eb52a59a1ddfad6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry", "translated_standalone_title": "Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "xff63fac4", "old_key_name": "Oh4CNh6ubf-UzadC_kA4Y9djPh51iHCJbKwHbMA2", "hide": false, "title": "Geometry", "child_data": [{"kind": "Topic", "id": "x4bdfeb75"}, {"kind": "Topic", "id": "x6ddff038"}, {"kind": "Topic", "id": "x7f4d2dc1"}, {"kind": "Topic", "id": "x733a047e"}, {"kind": "Topic", "id": "x3941da99"}, {"kind": "Topic", "id": "x9dc39988"}, {"kind": "Topic", "id": "x7ca5999e"}, {"kind": "Topic", "id": "xbb01769c"}, {"kind": "Topic", "id": "x021a201c"}, {"kind": "Topic", "id": "x3a4419c2"}, {"kind": "Topic", "id": "xc8e66653"}, {"kind": "Topic", "id": "xc36c5d6b"}], "children": [{"icon_src": "/images/power-mode/badges/segments-and-angles-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/segments-and-angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/segments-and-angles", "translated_standalone_title": "Points, lines, and planes", "translated_title": "Points, lines, and planes", "gplus_url": "", "id": "x4bdfeb75", "old_key_name": "5EyYE3qnXijHozyNRpHHONuybikxP0EhShMeA6z_", "hide": false, "title": "Points, lines, and planes", "child_data": [{"kind": "Topic", "id": "x4a5fa9b1"}, {"kind": "Topic", "id": "x2d5534b0"}, {"kind": "Topic", "id": "x4cd4f12a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/segments-and-angles/intro_euclid", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/segments-and-angles/intro_euclid", "translated_standalone_title": "Introduction to Euclidean geometry", "translated_title": "Introduction to Euclidean geometry", "gplus_url": "", "id": "x4a5fa9b1", "old_key_name": "WIPysPnsDu2vJzwQZSc3qsweeJSM8pu6I_BgthSR", "hide": false, "title": "Introduction to Euclidean geometry", "child_data": [{"kind": "Video", "id": 611293511}, {"kind": "Video", "id": 611259516}, {"kind": "Video", "id": 211177355}, {"kind": "Exercise", "id": 205328272}, {"kind": "Video", "id": "xfcdfb0ea"}, {"kind": "Exercise", "id": "x56a1eef4"}, {"kind": "Video", "id": "x9922e4bf"}, {"kind": "Exercise", "id": 729626121}, {"kind": "Video", "id": 261106564}, {"kind": "Video", "id": 294676192}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 372432665}], "children": [{"translated_youtube_id": "WqzK3UAXaHs", "relative_url": "/video/euclid-as-the-father-of-geometry", "has_questions": false, "keywords": "geometry, euclid, lincoln, marquee", "ka_url": "http://www.khanacademy.org/video/euclid-as-the-father-of-geometry", "duration": 503, "translated_title": "Euclid as the father of geometry", "translated_description_html": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "id": "611293511", "description_html": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "title": "Euclid as the father of geometry", "progress_key": "v611293511", "edit_slug": "edit/v/611293511", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "extra_properties": null, "node_slug": "v/euclid-as-the-father-of-geometry", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-02-28T22:36:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.m3u8/WqzK3UAXaHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WqzK3UAXaHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v611293511", "sha": "70add9cbb1fb455fd49f65db38f1903a52a061df", "translated_description": "Euclid and his Elements (and how much Abraham Lincoln liked them)", "image_url": "https://img.youtube.com/vi/WqzK3UAXaHs/hqdefault.jpg", "youtube_id": "WqzK3UAXaHs", "content_kind": "Video", "readable_id": "euclid-as-the-father-of-geometry"}, {"translated_youtube_id": "il0EJrY64qE", "relative_url": "/video/language-and-notation-of-basic-geometry", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/language-and-notation-of-basic-geometry", "duration": 778, "translated_title": "Language and notation of basic geometry", "translated_description_html": "Understanding basic ideas in geometry and how we represent them with symbols", "id": "611259516", "description_html": "Understanding basic ideas in geometry and how we represent them with symbols", "title": "Language and notation of basic geometry", "progress_key": "v611259516", "edit_slug": "edit/v/611259516", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding basic ideas in geometry and how we represent them with symbols", "extra_properties": null, "node_slug": "v/language-and-notation-of-basic-geometry", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-02-28T22:26:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.mp4/il0EJrY64qE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.mp4/il0EJrY64qE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/il0EJrY64qE.m3u8/il0EJrY64qE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=il0EJrY64qE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v611259516", "sha": "864d9eec49e0bba01673ce52cfbbe6d49c36c7e3", "translated_description": "Understanding basic ideas in geometry and how we represent them with symbols", "image_url": "https://img.youtube.com/vi/il0EJrY64qE/hqdefault.jpg", "youtube_id": "il0EJrY64qE", "content_kind": "Video", "readable_id": "language-and-notation-of-basic-geometry"}, {"translated_youtube_id": "JcqCf762y9w", "relative_url": "/video/lines--line-segments--and-rays", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/lines--line-segments--and-rays", "duration": 218, "translated_title": "Lines, line segments, and rays", "translated_description_html": "Difference between lines, line segments, and rays", "id": "211177355", "description_html": "Difference between lines, line segments, and rays", "title": "Lines, line segments, and rays", "progress_key": "v211177355", "edit_slug": "edit/v/211177355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Difference between lines, line segments, and rays", "extra_properties": null, "node_slug": "v/lines--line-segments--and-rays", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-08-24T10:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.mp4/JcqCf762y9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.mp4/JcqCf762y9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JcqCf762y9w.m3u8/JcqCf762y9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JcqCf762y9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177355", "sha": "8fa785574213e6d611ed8529c063e99793a61d3e", "translated_description": "Difference between lines, line segments, and rays", "image_url": "https://img.youtube.com/vi/JcqCf762y9w/hqdefault.jpg", "youtube_id": "JcqCf762y9w", "content_kind": "Video", "readable_id": "lines--line-segments--and-rays"}, {"translated_youtube_id": "DkZnevdbf0A", "relative_url": "/video/drawing-lines-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawing-lines-exercise-example", "duration": 115, "translated_title": "Drawing lines exercise example", "translated_description_html": "", "id": "xfcdfb0ea", "description_html": "", "title": "Drawing lines exercise example", "progress_key": "vxfcdfb0ea", "edit_slug": "edit/v/xfcdfb0ea", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/drawing-lines-exercise-example", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2013-09-26T18:08:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.mp4/DkZnevdbf0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.mp4/DkZnevdbf0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DkZnevdbf0A.m3u8/DkZnevdbf0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DkZnevdbf0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfcdfb0ea", "sha": "d5cdc92aa0447fae8185646137f6e0b85e4e203f", "translated_description": "", "image_url": "https://img.youtube.com/vi/DkZnevdbf0A/hqdefault.jpg", "youtube_id": "DkZnevdbf0A", "content_kind": "Video", "readable_id": "drawing-lines-exercise-example"}, {"translated_youtube_id": "J2Qz-7ZWDAE", "relative_url": "/video/specifying-planes-in-three-dimensions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/specifying-planes-in-three-dimensions", "duration": 252, "translated_title": "Specifying planes in three dimensions", "translated_description_html": "", "id": "x9922e4bf", "description_html": "", "title": "Specifying planes in three dimensions", "progress_key": "vx9922e4bf", "edit_slug": "edit/v/x9922e4bf", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/specifying-planes-in-three-dimensions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J2Qz-7ZWDAE.mp4/J2Qz-7ZWDAE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J2Qz-7ZWDAE.mp4/J2Qz-7ZWDAE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J2Qz-7ZWDAE.m3u8/J2Qz-7ZWDAE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J2Qz-7ZWDAE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9922e4bf", "sha": "3fe0161284621a0cfdc567c2861edb907e9e84ed", "translated_description": "", "image_url": "https://img.youtube.com/vi/J2Qz-7ZWDAE/hqdefault.jpg", "youtube_id": "J2Qz-7ZWDAE", "content_kind": "Video", "readable_id": "specifying-planes-in-three-dimensions"}, {"translated_youtube_id": "U2W7HPyC0cM", "relative_url": "/video/language-and-notation-of-the-circle", "has_questions": false, "keywords": "geometry, locus, circle", "ka_url": "http://www.khanacademy.org/video/language-and-notation-of-the-circle", "duration": 672, "translated_title": "Language and notation of the circle", "translated_description_html": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "id": "261106564", "description_html": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "title": "Language and notation of the circle", "progress_key": "v261106564", "edit_slug": "edit/v/261106564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "extra_properties": null, "node_slug": "v/language-and-notation-of-the-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-21T10:00:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.mp4/U2W7HPyC0cM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.mp4/U2W7HPyC0cM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.m3u8/U2W7HPyC0cM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2W7HPyC0cM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v261106564", "sha": "9668e51144633221a090c2aed816aaae44a13e30", "translated_description": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "image_url": "https://img.youtube.com/vi/U2W7HPyC0cM/hqdefault.jpg", "youtube_id": "U2W7HPyC0cM", "content_kind": "Video", "readable_id": "language-and-notation-of-the-circle"}, {"translated_youtube_id": "5zosU6XTgSY", "relative_url": "/video/the-golden-ratio", "has_questions": false, "keywords": "golden, mean, ratio, marquee", "ka_url": "http://www.khanacademy.org/video/the-golden-ratio", "duration": 882, "translated_title": "The golden ratio", "translated_description_html": "An introduction to one of the most amazing ideas/numbers in mathematics", "id": "294676192", "description_html": "An introduction to one of the most amazing ideas/numbers in mathematics", "title": "The golden ratio", "progress_key": "v294676192", "edit_slug": "edit/v/294676192", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to one of the most amazing ideas/numbers in mathematics", "extra_properties": null, "node_slug": "v/the-golden-ratio", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-06T10:02:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.m3u8/5zosU6XTgSY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5zosU6XTgSY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v294676192", "sha": "03799cd049581f27a130ad8d5b65542121af46da", "translated_description": "An introduction to one of the most amazing ideas/numbers in mathematics", "image_url": "https://img.youtube.com/vi/5zosU6XTgSY/hqdefault.jpg", "youtube_id": "5zosU6XTgSY", "content_kind": "Video", "readable_id": "the-golden-ratio"}, {"translated_youtube_id": "w9jEq6dmqPg", "relative_url": "/video/identifying-rays", "has_questions": false, "keywords": "u07_l1_t1_we1, Identifying, Rays", "ka_url": "http://www.khanacademy.org/video/identifying-rays", "duration": 340, "translated_title": "Identifying rays", "translated_description_html": "Identifying Rays", "id": "372432665", "description_html": "Identifying Rays", "title": "Identifying rays", "progress_key": "v372432665", "edit_slug": "edit/v/372432665", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Identifying Rays", "extra_properties": null, "node_slug": "v/identifying-rays", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w9jEq6dmqPg.mp4/w9jEq6dmqPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w9jEq6dmqPg.mp4/w9jEq6dmqPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w9jEq6dmqPg.m3u8/w9jEq6dmqPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w9jEq6dmqPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432665", "sha": "6ca7cbe18f8e1c00f21e9ed0f82a31dee816ea3f", "translated_description": "Identifying Rays", "image_url": "https://img.youtube.com/vi/w9jEq6dmqPg/hqdefault.jpg", "youtube_id": "w9jEq6dmqPg", "content_kind": "Video", "readable_id": "identifying-rays"}], "twitter_url": "", "translated_description": "Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world's geometry textbook until recently. Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry.\n\nThis tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world's geometry textbook until recently. Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry.\n\nThis tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.", "x_pos": 0.0, "node_slug": "intro_euclid", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T18:08:38Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4a5fa9b1", "topic_page_url": "/math/geometry/segments-and-angles/intro_euclid", "extended_slug": "math/geometry/segments-and-angles/intro_euclid", "slug": "intro_euclid", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ff56a58af7b37bfd93c79273ca81dd9bbce309b2", "standalone_title": "Introduction to Euclidean geometry", "y_pos": 0.0, "current_revision_key": "ff56a58af7b37bfd93c79273ca81dd9bbce309b2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/segments-and-angles/measuring-segments-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/segments-and-angles/measuring-segments-tutorial", "translated_standalone_title": "Measuring segments", "translated_title": "Measuring segments", "gplus_url": "", "id": "x2d5534b0", "old_key_name": null, "hide": false, "title": "Measuring segments", "child_data": [{"kind": "Video", "id": "xc6f1d2f0"}, {"kind": "Exercise", "id": 701990088}, {"kind": "Video", "id": "xa1695c23"}, {"kind": "Exercise", "id": 701911238}], "children": [{"translated_youtube_id": "y-O_B-wWivQ", "relative_url": "/video/measuring-segments", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/measuring-segments", "duration": 89, "translated_title": "Measuring segments", "translated_description_html": "", "id": "xc6f1d2f0", "description_html": "", "title": "Measuring segments", "progress_key": "vxc6f1d2f0", "edit_slug": "edit/v/xc6f1d2f0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-segments", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.mp4/y-O_B-wWivQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.mp4/y-O_B-wWivQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y-O_B-wWivQ.m3u8/y-O_B-wWivQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y-O_B-wWivQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc6f1d2f0", "sha": "04b63888794f32c97fc2242e8e6e132f9a581f64", "translated_description": "", "image_url": "https://img.youtube.com/vi/y-O_B-wWivQ/hqdefault.jpg", "youtube_id": "y-O_B-wWivQ", "content_kind": "Video", "readable_id": "measuring-segments"}, {"translated_youtube_id": "bJF9R8_-0O0", "relative_url": "/video/congruent-segments", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/congruent-segments", "duration": 61, "translated_title": "Congruent segments", "translated_description_html": "", "id": "xa1695c23", "description_html": "", "title": "Congruent segments", "progress_key": "vxa1695c23", "edit_slug": "edit/v/xa1695c23", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/congruent-segments", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bJF9R8_-0O0.mp4/bJF9R8_-0O0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bJF9R8_-0O0.mp4/bJF9R8_-0O0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bJF9R8_-0O0.m3u8/bJF9R8_-0O0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bJF9R8_-0O0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa1695c23", "sha": "462a0fb255f55fe6f0db91798a1939a2b6bc7edd", "translated_description": "", "image_url": "https://img.youtube.com/vi/bJF9R8_-0O0/hqdefault.jpg", "youtube_id": "bJF9R8_-0O0", "content_kind": "Video", "readable_id": "congruent-segments"}], "twitter_url": "", "translated_description": "Most of what we call \"lines\" in everyday life are really line segments from a mathematical point of view. This exercise makes you a bit more familiar with line segments by giving you some practice measuring and comparing them.\n\nHave fun!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most of what we call \"lines\" in everyday life are really line segments from a mathematical point of view. This exercise makes you a bit more familiar with line segments by giving you some practice measuring and comparing them.\n\nHave fun!", "x_pos": 0.0, "node_slug": "measuring-segments-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2d5534b0", "topic_page_url": "/math/geometry/segments-and-angles/measuring-segments-tutorial", "extended_slug": "math/geometry/segments-and-angles/measuring-segments-tutorial", "slug": "measuring-segments-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0724967f8e5b84f5d432f8e0218a0571b354527f", "standalone_title": "Measuring segments", "y_pos": 0.0, "current_revision_key": "0724967f8e5b84f5d432f8e0218a0571b354527f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/segments-and-angles/line-segment-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/segments-and-angles/line-segment-algebra", "translated_standalone_title": "Algebraically determining segment length", "translated_title": "Algebraically determining segment length", "gplus_url": "", "id": "x4cd4f12a", "old_key_name": null, "hide": false, "title": "Algebraically determining segment length", "child_data": [{"kind": "Video", "id": "xf0270049"}, {"kind": "Exercise", "id": 701927254}, {"kind": "Video", "id": "x73a3d40c"}, {"kind": "Exercise", "id": 701941563}], "children": [{"translated_youtube_id": "YFqeMzfcyg4", "relative_url": "/video/segment-addition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/segment-addition", "duration": 221, "translated_title": "Segment addition", "translated_description_html": "", "id": "xf0270049", "description_html": "", "title": "Segment addition", "progress_key": "vxf0270049", "edit_slug": "edit/v/xf0270049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/segment-addition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.mp4/YFqeMzfcyg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.mp4/YFqeMzfcyg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YFqeMzfcyg4.m3u8/YFqeMzfcyg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YFqeMzfcyg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf0270049", "sha": "53ee0e65f884c965d849bc4462c072963ff2a6b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/YFqeMzfcyg4/hqdefault.jpg", "youtube_id": "YFqeMzfcyg4", "content_kind": "Video", "readable_id": "segment-addition"}, {"translated_youtube_id": "E0TNh9uWesw", "relative_url": "/video/midpoint-of-a-segment", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/midpoint-of-a-segment", "duration": 199, "translated_title": "Algebraic midpoint of a segment exercise", "translated_description_html": "", "id": "x73a3d40c", "description_html": "", "title": "Algebraic midpoint of a segment exercise", "progress_key": "vx73a3d40c", "edit_slug": "edit/v/x73a3d40c", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/midpoint-of-a-segment", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-11T18:09:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E0TNh9uWesw.mp4/E0TNh9uWesw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E0TNh9uWesw.mp4/E0TNh9uWesw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E0TNh9uWesw.m3u8/E0TNh9uWesw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E0TNh9uWesw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx73a3d40c", "sha": "941cb882aa9b68cf9a1858f1821f8ef9c31cdd5c", "translated_description": "", "image_url": "https://img.youtube.com/vi/E0TNh9uWesw/hqdefault.jpg", "youtube_id": "E0TNh9uWesw", "content_kind": "Video", "readable_id": "midpoint-of-a-segment"}], "twitter_url": "", "translated_description": "In this tutorial, you'll flex both your algebra and geometry muscles at the same time. You'll do this by applying the right amount of spray tan (which is needed for properly flexing any muscle) and then solve problems about line segments using algebra!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, you'll flex both your algebra and geometry muscles at the same time. You'll do this by applying the right amount of spray tan (which is needed for properly flexing any muscle) and then solve problems about line segments using algebra!", "x_pos": 0.0, "node_slug": "line-segment-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-01T01:27:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4cd4f12a", "topic_page_url": "/math/geometry/segments-and-angles/line-segment-algebra", "extended_slug": "math/geometry/segments-and-angles/line-segment-algebra", "slug": "line-segment-algebra", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "43de03b4fbe039f49ff52bf4b1345455dcc089f9", "standalone_title": "Algebraically determining segment length", "y_pos": 0.0, "current_revision_key": "43de03b4fbe039f49ff52bf4b1345455dcc089f9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes.", "x_pos": -22.0, "node_slug": "segments-and-angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4bdfeb75", "topic_page_url": "/math/geometry/segments-and-angles", "extended_slug": "math/geometry/segments-and-angles", "slug": "segments-and-angles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca7c25e4c0a5f8a6b0525273dc7ebaa4823f983e", "standalone_title": "Points, lines, and planes", "y_pos": 26.0, "current_revision_key": "ca7c25e4c0a5f8a6b0525273dc7ebaa4823f983e", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/parallel-and-perpendicular-lines-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines", "translated_standalone_title": "Angles and intersecting lines", "translated_title": "Angles and intersecting lines", "gplus_url": "", "id": "x6ddff038", "old_key_name": "xLyOiELVpsXCiF_JnNjxfkIXZ_1ffpiYCSP7Um3H", "hide": false, "title": "Angles and intersecting lines", "child_data": [{"kind": "Topic", "id": "x17d76a28"}, {"kind": "Topic", "id": "xb200efa8"}, {"kind": "Topic", "id": "x29d7a8b6"}, {"kind": "Topic", "id": "x641cfe7f"}, {"kind": "Topic", "id": "xc8806320"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics", "translated_standalone_title": "Angle basics and measurement", "translated_title": "Angle basics and measurement", "gplus_url": "", "id": "x17d76a28", "old_key_name": "ClmI0Wp7zMPTB1-YdjErnWP52MY4wlEb1jNuw9wi", "hide": false, "title": "Angle basics and measurement", "child_data": [{"kind": "Video", "id": 263439065}, {"kind": "Video", "id": 263439060}, {"kind": "Video", "id": 263439062}, {"kind": "Video", "id": 211177356}, {"kind": "Exercise", "id": 196064396}, {"kind": "Video", "id": 60129393}, {"kind": "Exercise", "id": 47757395}, {"kind": "Video", "id": "x40ad80ea"}, {"kind": "Exercise", "id": 840016557}], "children": [{"translated_youtube_id": "H-de6Tkxej8", "relative_url": "/video/angle-basics", "has_questions": false, "keywords": "geometry, angle, points", "ka_url": "http://www.khanacademy.org/video/angle-basics", "duration": 409, "translated_title": "Angle basics", "translated_description_html": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "id": "263439065", "description_html": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "title": "Angle basics", "progress_key": "v263439065", "edit_slug": "edit/v/263439065", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "extra_properties": {"original_url": ""}, "node_slug": "v/angle-basics", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.mp4/H-de6Tkxej8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.mp4/H-de6Tkxej8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-de6Tkxej8.m3u8/H-de6Tkxej8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-de6Tkxej8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439065", "sha": "2743d2e077839534cc07f211a004a0a3764ac0fa", "translated_description": "Definition of an angle. How to denote an angle using points on the angle (including the vertex)", "image_url": "https://img.youtube.com/vi/H-de6Tkxej8/hqdefault.jpg", "youtube_id": "H-de6Tkxej8", "content_kind": "Video", "readable_id": "angle-basics"}, {"translated_youtube_id": "92aLiyeQj0w", "relative_url": "/video/measuring-angles-in-degrees", "has_questions": false, "keywords": "geometry, degrees, angles", "ka_url": "http://www.khanacademy.org/video/measuring-angles-in-degrees", "duration": 502, "translated_title": "Measuring angles in degrees", "translated_description_html": "How to measure an angle in degrees", "id": "263439060", "description_html": "How to measure an angle in degrees", "title": "Measuring angles in degrees", "progress_key": "v263439060", "edit_slug": "edit/v/263439060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How to measure an angle in degrees", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-angles-in-degrees", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.mp4/92aLiyeQj0w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/92aLiyeQj0w.m3u8/92aLiyeQj0w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=92aLiyeQj0w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439060", "sha": "c7cd7b66bd98e60dc1b01dee2735ea53a512a849", "translated_description": "How to measure an angle in degrees", "image_url": "https://img.youtube.com/vi/92aLiyeQj0w/hqdefault.jpg", "youtube_id": "92aLiyeQj0w", "content_kind": "Video", "readable_id": "measuring-angles-in-degrees"}, {"translated_youtube_id": "dw41PMWek6U", "relative_url": "/video/using-a-protractor", "has_questions": false, "keywords": "Using, a, Protractor", "ka_url": "http://www.khanacademy.org/video/using-a-protractor", "duration": 205, "translated_title": "Using a protractor", "translated_description_html": "", "id": "263439062", "description_html": "", "title": "Using a protractor", "progress_key": "v263439062", "edit_slug": "edit/v/263439062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-a-protractor", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.mp4/dw41PMWek6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.mp4/dw41PMWek6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dw41PMWek6U.m3u8/dw41PMWek6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dw41PMWek6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439062", "sha": "1c219295a4fb32d804d6284bff160426c968bc98", "translated_description": "", "image_url": "https://img.youtube.com/vi/dw41PMWek6U/hqdefault.jpg", "youtube_id": "dw41PMWek6U", "content_kind": "Video", "readable_id": "using-a-protractor"}, {"translated_youtube_id": "wJ37GJyViU8", "relative_url": "/video/measuring-angles", "has_questions": false, "keywords": "geometry, protractor, angles", "ka_url": "http://www.khanacademy.org/video/measuring-angles", "duration": 245, "translated_title": "Measuring angles", "translated_description_html": "Using the KA virtual protractor to measure angles", "id": "211177356", "description_html": "Using the KA virtual protractor to measure angles", "title": "Measuring angles", "progress_key": "v211177356", "edit_slug": "edit/v/211177356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using the KA virtual protractor to measure angles", "extra_properties": {"original_url": ""}, "node_slug": "v/measuring-angles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-08-24T10:00:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.mp4/wJ37GJyViU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.mp4/wJ37GJyViU8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wJ37GJyViU8.m3u8/wJ37GJyViU8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wJ37GJyViU8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v211177356", "sha": "e4df4b8aec5e0db1911d84a21aba518bc63967d7", "translated_description": "Using the KA virtual protractor to measure angles", "image_url": "https://img.youtube.com/vi/wJ37GJyViU8/hqdefault.jpg", "youtube_id": "wJ37GJyViU8", "content_kind": "Video", "readable_id": "measuring-angles"}, {"translated_youtube_id": "ALhv3Rlydig", "relative_url": "/video/acute-right-and-obtuse-angles", "has_questions": false, "keywords": "angles, geometry, CC_4_G_1", "ka_url": "http://www.khanacademy.org/video/acute-right-and-obtuse-angles", "duration": 332, "translated_title": "Acute right and obtuse angles", "translated_description_html": "The difference between acute, obtuse and right angles", "id": "60129393", "description_html": "The difference between acute, obtuse and right angles", "title": "Acute right and obtuse angles", "progress_key": "v60129393", "edit_slug": "edit/v/60129393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between acute, obtuse and right angles", "extra_properties": {"original_url": ""}, "node_slug": "v/acute-right-and-obtuse-angles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.m3u8/ALhv3Rlydig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ALhv3Rlydig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129393", "sha": "65b8702bc4ac0883ee3cbf8ff5e68dd0758b3950", "translated_description": "The difference between acute, obtuse and right angles", "image_url": "https://img.youtube.com/vi/ALhv3Rlydig/hqdefault.jpg", "youtube_id": "ALhv3Rlydig", "content_kind": "Video", "readable_id": "acute-right-and-obtuse-angles"}, {"translated_youtube_id": "vAlazPPFlyY", "relative_url": "/video/vertical--adjacent-and-linearly-paired-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vertical--adjacent-and-linearly-paired-angles", "duration": 283, "translated_title": "Vertical, adjacent and linearly paired angles", "translated_description_html": "", "id": "x40ad80ea", "description_html": "", "title": "Vertical, adjacent and linearly paired angles", "progress_key": "vx40ad80ea", "edit_slug": "edit/v/x40ad80ea", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/vertical--adjacent-and-linearly-paired-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vAlazPPFlyY.mp4/vAlazPPFlyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vAlazPPFlyY.mp4/vAlazPPFlyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vAlazPPFlyY.m3u8/vAlazPPFlyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vAlazPPFlyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx40ad80ea", "sha": "162def5bdb018207dc7e16883f570f4df9ba285c", "translated_description": "", "image_url": "https://img.youtube.com/vi/vAlazPPFlyY/hqdefault.jpg", "youtube_id": "vAlazPPFlyY", "content_kind": "Video", "readable_id": "vertical--adjacent-and-linearly-paired-angles"}], "twitter_url": "", "translated_description": "This tutorial will define what an angle is and help us think about how to measure them. If you're new to angles, this is a great place to start.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will define what an angle is and help us think about how to measure them. If you're new to angles, this is a great place to start.", "x_pos": 0.0, "node_slug": "Angle_basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T20:00:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax17d76a28", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics", "extended_slug": "math/geometry/parallel-and-perpendicular-lines/Angle_basics", "slug": "Angle_basics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ed5cc0cb9bf986eae119b4293467949a6b8981b2", "standalone_title": "Angle basics and measurement", "y_pos": 0.0, "current_revision_key": "ed5cc0cb9bf986eae119b4293467949a6b8981b2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines/ang_intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro", "translated_standalone_title": "Angles between intersecting and parallel lines", "translated_title": "Angles between intersecting and parallel lines", "gplus_url": "", "id": "xb200efa8", "old_key_name": "AiVdxtN7pNtDkOxTy_9GsluUUDlwt3wEP8qZ9AOk", "hide": false, "title": "Angles between intersecting and parallel lines", "child_data": [{"kind": "Video", "id": 263439063}, {"kind": "Exercise", "id": 265340597}, {"kind": "Video", "id": "x67c17e9a"}, {"kind": "Exercise", "id": 415276545}, {"kind": "Video", "id": 263439066}, {"kind": "Video", "id": 263439061}, {"kind": "Video", "id": 372432667}, {"kind": "Video", "id": "xc5b28d56"}, {"kind": "Exercise", "id": 844384906}, {"kind": "Exercise", "id": 272338869}, {"kind": "Video", "id": "xa92ee636"}, {"kind": "Exercise", "id": 413665443}, {"kind": "Video", "id": 24456}], "children": [{"translated_youtube_id": "_7aUxFzTG5w", "relative_url": "/video/angles-at-the-intersection-of-two-lines", "has_questions": false, "keywords": "Angles, at, the, intersection, of, two, lines", "ka_url": "http://www.khanacademy.org/video/angles-at-the-intersection-of-two-lines", "duration": 439, "translated_title": "Introduction to vertical angles", "translated_description_html": "

Figuring out angles at the intersection of two lines<\/p>\n", "id": "263439063", "description_html": "

Figuring out angles at the intersection of two lines<\/p>\n", "title": "Introduction to vertical angles", "progress_key": "v263439063", "edit_slug": "edit/v/263439063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Figuring out angles at the intersection of two lines\n", "extra_properties": {"original_url": ""}, "node_slug": "v/angles-at-the-intersection-of-two-lines", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.mp4/_7aUxFzTG5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.mp4/_7aUxFzTG5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_7aUxFzTG5w.m3u8/_7aUxFzTG5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_7aUxFzTG5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439063", "sha": "61225fe1978ba2e5592af7d885fff6acf068f87a", "translated_description": "Figuring out angles at the intersection of two lines\n", "image_url": "https://img.youtube.com/vi/_7aUxFzTG5w/hqdefault.jpg", "youtube_id": "_7aUxFzTG5w", "content_kind": "Video", "readable_id": "angles-at-the-intersection-of-two-lines"}, {"translated_youtube_id": "2CZrkdtgeNU", "relative_url": "/video/using-algebra-to-find-the-measures-of-vertical-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-algebra-to-find-the-measures-of-vertical-angles", "duration": 154, "translated_title": "Using algebra to find the measures of vertical angles", "translated_description_html": "", "id": "x67c17e9a", "description_html": "", "title": "Using algebra to find the measures of vertical angles", "progress_key": "vx67c17e9a", "edit_slug": "edit/v/x67c17e9a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-algebra-to-find-the-measures-of-vertical-angles", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-07T19:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.mp4/2CZrkdtgeNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.mp4/2CZrkdtgeNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2CZrkdtgeNU.m3u8/2CZrkdtgeNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2CZrkdtgeNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx67c17e9a", "sha": "0da8939b0743e94a90c38969e97383b92734f47f", "translated_description": "", "image_url": "https://img.youtube.com/vi/2CZrkdtgeNU/hqdefault.jpg", "youtube_id": "2CZrkdtgeNU", "content_kind": "Video", "readable_id": "using-algebra-to-find-the-measures-of-vertical-angles"}, {"translated_youtube_id": "wRBMmiNHQaE", "relative_url": "/video/proof-vertical-angles-are-equal", "has_questions": false, "keywords": "Proof, Vertical, Angles, are, Equal", "ka_url": "http://www.khanacademy.org/video/proof-vertical-angles-are-equal", "duration": 291, "translated_title": "Proof: Vertical angles are equal", "translated_description_html": "Proving that vertical angles are equal", "id": "263439066", "description_html": "Proving that vertical angles are equal", "title": "Proof: Vertical angles are equal", "progress_key": "v263439066", "edit_slug": "edit/v/263439066", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Proving that vertical angles are equal", "extra_properties": null, "node_slug": "v/proof-vertical-angles-are-equal", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wRBMmiNHQaE.mp4/wRBMmiNHQaE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wRBMmiNHQaE.mp4/wRBMmiNHQaE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wRBMmiNHQaE.m3u8/wRBMmiNHQaE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wRBMmiNHQaE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439066", "sha": "1b784afe97f0c0e24c6e5c461646b701cd01c3d4", "translated_description": "Proving that vertical angles are equal", "image_url": "https://img.youtube.com/vi/wRBMmiNHQaE/hqdefault.jpg", "youtube_id": "wRBMmiNHQaE", "content_kind": "Video", "readable_id": "proof-vertical-angles-are-equal"}, {"translated_youtube_id": "H-E5rlpCVu4", "relative_url": "/video/angles-formed-by-parallel-lines-and-transversals", "has_questions": false, "keywords": "alternate, interior, angles, exterior", "ka_url": "http://www.khanacademy.org/video/angles-formed-by-parallel-lines-and-transversals", "duration": 427, "translated_title": "Angles formed by parallel lines and transversals", "translated_description_html": "Parallel lines, transversal lines, corresponding angles", "id": "263439061", "description_html": "Parallel lines, transversal lines, corresponding angles", "title": "Angles formed by parallel lines and transversals", "progress_key": "v263439061", "edit_slug": "edit/v/263439061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Parallel lines, transversal lines, corresponding angles", "extra_properties": null, "node_slug": "v/angles-formed-by-parallel-lines-and-transversals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.mp4/H-E5rlpCVu4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.mp4/H-E5rlpCVu4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-E5rlpCVu4.m3u8/H-E5rlpCVu4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-E5rlpCVu4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439061", "sha": "5eba8caf7f9bbebc5db937b6b4b6bc114ae2906b", "translated_description": "Parallel lines, transversal lines, corresponding angles", "image_url": "https://img.youtube.com/vi/H-E5rlpCVu4/hqdefault.jpg", "youtube_id": "H-E5rlpCVu4", "content_kind": "Video", "readable_id": "angles-formed-by-parallel-lines-and-transversals"}, {"translated_youtube_id": "aq_XL6FrmGs", "relative_url": "/video/identifying-parallel-and-perpendicular-lines", "has_questions": false, "keywords": "u07_l1_t2_we1, Identifying, Parallel, and, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/identifying-parallel-and-perpendicular-lines", "duration": 215, "translated_title": "Identifying parallel and perpendicular lines", "translated_description_html": "Identifying Parallel and Perpendicular Lines", "id": "372432667", "description_html": "Identifying Parallel and Perpendicular Lines", "title": "Identifying parallel and perpendicular lines", "progress_key": "v372432667", "edit_slug": "edit/v/372432667", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Identifying Parallel and Perpendicular Lines", "extra_properties": null, "node_slug": "v/identifying-parallel-and-perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.m3u8/aq_XL6FrmGs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aq_XL6FrmGs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432667", "sha": "9eeef4488ac0b99999833124ed42a0b32d3b789d", "translated_description": "Identifying Parallel and Perpendicular Lines", "image_url": "https://img.youtube.com/vi/aq_XL6FrmGs/hqdefault.jpg", "youtube_id": "aq_XL6FrmGs", "content_kind": "Video", "readable_id": "identifying-parallel-and-perpendicular-lines"}, {"translated_youtube_id": "2WjGD3LZEWo", "relative_url": "/video/figuring-out-angles-between-transversal-and-parallel-lines", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/figuring-out-angles-between-transversal-and-parallel-lines", "duration": 136, "translated_title": "Figuring out angles between transversal and parallel lines", "translated_description_html": "", "id": "xc5b28d56", "description_html": "", "title": "Figuring out angles between transversal and parallel lines", "progress_key": "vxc5b28d56", "edit_slug": "edit/v/xc5b28d56", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/figuring-out-angles-between-transversal-and-parallel-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.mp4/2WjGD3LZEWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.mp4/2WjGD3LZEWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2WjGD3LZEWo.m3u8/2WjGD3LZEWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2WjGD3LZEWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc5b28d56", "sha": "e60ad033611fe885a6a3429e936034158eac16cd", "translated_description": "", "image_url": "https://img.youtube.com/vi/2WjGD3LZEWo/hqdefault.jpg", "youtube_id": "2WjGD3LZEWo", "content_kind": "Video", "readable_id": "figuring-out-angles-between-transversal-and-parallel-lines"}, {"translated_youtube_id": "Ld7Vxb5XV6A", "relative_url": "/video/using-algebra-to-find-measures-of-angles-formed-from-transversal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-algebra-to-find-measures-of-angles-formed-from-transversal", "duration": 281, "translated_title": "Using algebra to find measures of angles formed from transversal", "translated_description_html": "", "id": "xa92ee636", "description_html": "", "title": "Using algebra to find measures of angles formed from transversal", "progress_key": "vxa92ee636", "edit_slug": "edit/v/xa92ee636", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/using-algebra-to-find-measures-of-angles-formed-from-transversal", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.mp4/Ld7Vxb5XV6A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.mp4/Ld7Vxb5XV6A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ld7Vxb5XV6A.m3u8/Ld7Vxb5XV6A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ld7Vxb5XV6A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa92ee636", "sha": "383e845f2aeedcb00c7022153fa3d287dc0654d1", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ld7Vxb5XV6A/hqdefault.jpg", "youtube_id": "Ld7Vxb5XV6A", "content_kind": "Video", "readable_id": "using-algebra-to-find-measures-of-angles-formed-from-transversal"}, {"translated_youtube_id": "_HJljJuVHLw", "relative_url": "/video/ca-geometry--deducing-angle-measures", "has_questions": false, "keywords": "geometry, angles, deduction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deducing-angle-measures", "duration": 658, "translated_title": "CA Geometry: Deducing angle measures", "translated_description_html": "46-50, deducing the measure of angles", "id": "24456", "description_html": "46-50, deducing the measure of angles", "title": "CA Geometry: Deducing angle measures", "progress_key": "v24456", "edit_slug": "edit/v/24456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "46-50, deducing the measure of angles", "extra_properties": null, "node_slug": "v/ca-geometry--deducing-angle-measures", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.m3u8/_HJljJuVHLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_HJljJuVHLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24456", "sha": "3a6299a33ce2c08c872b56aea80948e011b4585a", "translated_description": "46-50, deducing the measure of angles", "image_url": "https://img.youtube.com/vi/_HJljJuVHLw/hqdefault.jpg", "youtube_id": "_HJljJuVHLw", "content_kind": "Video", "readable_id": "ca-geometry--deducing-angle-measures"}], "twitter_url": "", "translated_description": "Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. \n\nThis tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. \n\nThis tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.", "x_pos": 0.0, "node_slug": "ang_intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T19:54:12Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb200efa8", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/ang_intro", "extended_slug": "math/geometry/parallel-and-perpendicular-lines/ang_intro", "slug": "ang_intro", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "455fb939327a3af5956e7ad0d6fc66019e762428", "standalone_title": "Angles between intersecting and parallel lines", "y_pos": 0.0, "current_revision_key": "455fb939327a3af5956e7ad0d6fc66019e762428", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut", "translated_standalone_title": "Triangle angle properties", "translated_title": "Angles with triangles and polygons", "gplus_url": "", "id": "x29d7a8b6", "old_key_name": "SQwKl68EGCEIJXvgqepZ4KiowyMEDCh2lzqRI8E-", "hide": false, "title": "Angles with triangles and polygons", "child_data": [{"kind": "Video", "id": 265540637}, {"kind": "Video", "id": 265540642}, {"kind": "Video", "id": 265540638}, {"kind": "Video", "id": 265540640}, {"kind": "Video", "id": 265540635}, {"kind": "Video", "id": 265540641}, {"kind": "Video", "id": 265540639}, {"kind": "Exercise", "id": 2023}, {"kind": "Exercise", "id": 2024}, {"kind": "Video", "id": 287107579}, {"kind": "Exercise", "id": 324859999}, {"kind": "Video", "id": 272207189}], "children": [{"translated_youtube_id": "6s1CI3uuhko", "relative_url": "/video/proof---sum-of-measures-of-angles-in-a-triangle-are-180", "has_questions": false, "keywords": "geometry, angles, triangle, sum", "ka_url": "http://www.khanacademy.org/video/proof---sum-of-measures-of-angles-in-a-triangle-are-180", "duration": 391, "translated_title": "Proof: Sum of measures of angles in a triangle are 180", "translated_description_html": "

Proof that the sum of the measures of the angles in a triangle are 180<\/p>\n", "id": "265540637", "description_html": "

Proof that the sum of the measures of the angles in a triangle are 180<\/p>\n", "title": "Proof: Sum of measures of angles in a triangle are 180", "progress_key": "v265540637", "edit_slug": "edit/v/265540637", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof that the sum of the measures of the angles in a triangle are 180\n", "extra_properties": {"original_url": ""}, "node_slug": "v/proof---sum-of-measures-of-angles-in-a-triangle-are-180", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6s1CI3uuhko.mp4/6s1CI3uuhko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6s1CI3uuhko.mp4/6s1CI3uuhko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6s1CI3uuhko.m3u8/6s1CI3uuhko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6s1CI3uuhko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540637", "sha": "4eeaa5474adcaf5094e4bddef4529865d8295e5b", "translated_description": "Proof that the sum of the measures of the angles in a triangle are 180\n", "image_url": "https://img.youtube.com/vi/6s1CI3uuhko/hqdefault.jpg", "youtube_id": "6s1CI3uuhko", "content_kind": "Video", "readable_id": "proof---sum-of-measures-of-angles-in-a-triangle-are-180"}, {"translated_youtube_id": "hmj3_zbz2eg", "relative_url": "/video/triangle-angle-example-1", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-1", "duration": 363, "translated_title": "Triangle angle example 1", "translated_description_html": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "id": "265540642", "description_html": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "title": "Triangle angle example 1", "progress_key": "v265540642", "edit_slug": "edit/v/265540642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "extra_properties": null, "node_slug": "v/triangle-angle-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.mp4/hmj3_zbz2eg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.mp4/hmj3_zbz2eg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hmj3_zbz2eg.m3u8/hmj3_zbz2eg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hmj3_zbz2eg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540642", "sha": "82d58f7232589b4d07b3800c6d729828894c317f", "translated_description": "Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles", "image_url": "https://img.youtube.com/vi/hmj3_zbz2eg/hqdefault.jpg", "youtube_id": "hmj3_zbz2eg", "content_kind": "Video", "readable_id": "triangle-angle-example-1"}, {"translated_youtube_id": "eTwnt4G5xE4", "relative_url": "/video/triangle-angle-example-2", "has_questions": false, "keywords": "Triangle, Angle, Example, 2", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-2", "duration": 295, "translated_title": "Triangle angle example 2", "translated_description_html": "Another example finding angles in triangles", "id": "265540638", "description_html": "Another example finding angles in triangles", "title": "Triangle angle example 2", "progress_key": "v265540638", "edit_slug": "edit/v/265540638", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example finding angles in triangles", "extra_properties": null, "node_slug": "v/triangle-angle-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.mp4/eTwnt4G5xE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.mp4/eTwnt4G5xE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eTwnt4G5xE4.m3u8/eTwnt4G5xE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eTwnt4G5xE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540638", "sha": "5dd1fe014c927f3aa1e8be6f355e8f8eb31993df", "translated_description": "Another example finding angles in triangles", "image_url": "https://img.youtube.com/vi/eTwnt4G5xE4/hqdefault.jpg", "youtube_id": "eTwnt4G5xE4", "content_kind": "Video", "readable_id": "triangle-angle-example-2"}, {"translated_youtube_id": "iqeGTtyzQ1I", "relative_url": "/video/triangle-angle-example-3", "has_questions": false, "keywords": "Triangle, Angle, Example, 3", "ka_url": "http://www.khanacademy.org/video/triangle-angle-example-3", "duration": 342, "translated_title": "Triangle angle example 3", "translated_description_html": "Multiple ways to solve for the angles of multiple triangles", "id": "265540640", "description_html": "Multiple ways to solve for the angles of multiple triangles", "title": "Triangle angle example 3", "progress_key": "v265540640", "edit_slug": "edit/v/265540640", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiple ways to solve for the angles of multiple triangles", "extra_properties": null, "node_slug": "v/triangle-angle-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.mp4/iqeGTtyzQ1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.mp4/iqeGTtyzQ1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iqeGTtyzQ1I.m3u8/iqeGTtyzQ1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iqeGTtyzQ1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540640", "sha": "cb42df46ef985e4d93860df9bfa69d51958682c6", "translated_description": "Multiple ways to solve for the angles of multiple triangles", "image_url": "https://img.youtube.com/vi/iqeGTtyzQ1I/hqdefault.jpg", "youtube_id": "iqeGTtyzQ1I", "content_kind": "Video", "readable_id": "triangle-angle-example-3"}, {"translated_youtube_id": "95logvV8nXY", "relative_url": "/video/challenging-triangle-angle-problem", "has_questions": false, "keywords": "Challenging, Triangle, Angle, Problem", "ka_url": "http://www.khanacademy.org/video/challenging-triangle-angle-problem", "duration": 517, "translated_title": "Challenging triangle angle problem", "translated_description_html": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "id": "265540635", "description_html": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "title": "Challenging triangle angle problem", "progress_key": "v265540635", "edit_slug": "edit/v/265540635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "extra_properties": null, "node_slug": "v/challenging-triangle-angle-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.mp4/95logvV8nXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.mp4/95logvV8nXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/95logvV8nXY.m3u8/95logvV8nXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=95logvV8nXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540635", "sha": "a00f56a2b727d39b4d5470b9d03c441e5d88b90f", "translated_description": "Interesting problem finding the sums of particular exterior angles of an irregular pentagon", "image_url": "https://img.youtube.com/vi/95logvV8nXY/hqdefault.jpg", "youtube_id": "95logvV8nXY", "content_kind": "Video", "readable_id": "challenging-triangle-angle-problem"}, {"translated_youtube_id": "9_3OxtdqmqE", "relative_url": "/video/proof---corresponding-angle-equivalence-implies-parallel-lines", "has_questions": false, "keywords": "transversal", "ka_url": "http://www.khanacademy.org/video/proof---corresponding-angle-equivalence-implies-parallel-lines", "duration": 318, "translated_title": "Proof: Corresponding angle equivalence implies parallel lines", "translated_description_html": "Proof by contradiction that corresponding angle equivalence implies parallel lines", "id": "265540641", "description_html": "Proof by contradiction that corresponding angle equivalence implies parallel lines", "title": "Proof: Corresponding angle equivalence implies parallel lines", "progress_key": "v265540641", "edit_slug": "edit/v/265540641", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof by contradiction that corresponding angle equivalence implies parallel lines", "extra_properties": null, "node_slug": "v/proof---corresponding-angle-equivalence-implies-parallel-lines", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9_3OxtdqmqE.mp4/9_3OxtdqmqE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9_3OxtdqmqE.mp4/9_3OxtdqmqE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9_3OxtdqmqE.m3u8/9_3OxtdqmqE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9_3OxtdqmqE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540641", "sha": "d60ef63dda38d9670ad494e4d457a3937f910c08", "translated_description": "Proof by contradiction that corresponding angle equivalence implies parallel lines", "image_url": "https://img.youtube.com/vi/9_3OxtdqmqE/hqdefault.jpg", "youtube_id": "9_3OxtdqmqE", "content_kind": "Video", "readable_id": "proof---corresponding-angle-equivalence-implies-parallel-lines"}, {"translated_youtube_id": "0gzSreH8nUI", "relative_url": "/video/finding-more-angles", "has_questions": false, "keywords": "Finding, more, angles", "ka_url": "http://www.khanacademy.org/video/finding-more-angles", "duration": 365, "translated_title": "Finding more angles", "translated_description_html": "Example of angle hunting!", "id": "265540639", "description_html": "Example of angle hunting!", "title": "Finding more angles", "progress_key": "v265540639", "edit_slug": "edit/v/265540639", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of angle hunting!", "extra_properties": null, "node_slug": "v/finding-more-angles", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-23T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.mp4/0gzSreH8nUI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.mp4/0gzSreH8nUI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0gzSreH8nUI.m3u8/0gzSreH8nUI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0gzSreH8nUI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v265540639", "sha": "fca286599b29a6a88ca990d63fe9ab3a1e1156dd", "translated_description": "Example of angle hunting!", "image_url": "https://img.youtube.com/vi/0gzSreH8nUI/hqdefault.jpg", "youtube_id": "0gzSreH8nUI", "content_kind": "Video", "readable_id": "finding-more-angles"}, {"translated_youtube_id": "qG3HnRccrQU", "relative_url": "/video/sum-of-interior-angles-of-a-polygon", "has_questions": false, "keywords": "Sum, of, Interior, Angles, Any, Polygon, t2", "ka_url": "http://www.khanacademy.org/video/sum-of-interior-angles-of-a-polygon", "duration": 550, "translated_title": "Sum of interior angles of a polygon", "translated_description_html": "Showing a generalized way to find the sum of the interior angles of any polygon", "id": "287107579", "description_html": "Showing a generalized way to find the sum of the interior angles of any polygon", "title": "Sum of interior angles of a polygon", "progress_key": "v287107579", "edit_slug": "edit/v/287107579", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing a generalized way to find the sum of the interior angles of any polygon", "extra_properties": null, "node_slug": "v/sum-of-interior-angles-of-a-polygon", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-03T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qG3HnRccrQU.mp4/qG3HnRccrQU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qG3HnRccrQU.mp4/qG3HnRccrQU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qG3HnRccrQU.m3u8/qG3HnRccrQU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qG3HnRccrQU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v287107579", "sha": "ace00fc9087b4e12d498ef39b1d163fbfafc94ea", "translated_description": "Showing a generalized way to find the sum of the interior angles of any polygon", "image_url": "https://img.youtube.com/vi/qG3HnRccrQU/hqdefault.jpg", "youtube_id": "qG3HnRccrQU", "content_kind": "Video", "readable_id": "sum-of-interior-angles-of-a-polygon"}, {"translated_youtube_id": "W9B3VYdC5T8", "relative_url": "/video/sum-of-the-exterior-angles-of-convex-polygon", "has_questions": false, "keywords": "geometry, angles, sum", "ka_url": "http://www.khanacademy.org/video/sum-of-the-exterior-angles-of-convex-polygon", "duration": 324, "translated_title": "Sum of the exterior angles of convex polygon", "translated_description_html": "More elegant way to find the sum of the exterior angles of a convex polygon", "id": "272207189", "description_html": "More elegant way to find the sum of the exterior angles of a convex polygon", "title": "Sum of the exterior angles of convex polygon", "progress_key": "v272207189", "edit_slug": "edit/v/272207189", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More elegant way to find the sum of the exterior angles of a convex polygon", "extra_properties": null, "node_slug": "v/sum-of-the-exterior-angles-of-convex-polygon", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-26T17:46:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W9B3VYdC5T8.mp4/W9B3VYdC5T8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W9B3VYdC5T8.mp4/W9B3VYdC5T8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W9B3VYdC5T8.m3u8/W9B3VYdC5T8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W9B3VYdC5T8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v272207189", "sha": "d63cf4d1481474d4299c122774c90c582d9a6d15", "translated_description": "More elegant way to find the sum of the exterior angles of a convex polygon", "image_url": "https://img.youtube.com/vi/W9B3VYdC5T8/hqdefault.jpg", "youtube_id": "W9B3VYdC5T8", "content_kind": "Video", "readable_id": "sum-of-the-exterior-angles-of-convex-polygon"}], "twitter_url": "", "translated_description": "Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.", "x_pos": 0.0, "node_slug": "triang_prop_tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-31T01:09:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax29d7a8b6", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut", "extended_slug": "math/geometry/parallel-and-perpendicular-lines/triang_prop_tut", "slug": "triang_prop_tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a4b3efc2566a835d76bbdc5df0d41f463323b869", "standalone_title": "Triangle angle properties", "y_pos": 0.0, "current_revision_key": "a4b3efc2566a835d76bbdc5df0d41f463323b869", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines/old_angles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles", "translated_standalone_title": "Sal's old angle videos", "translated_title": "Sal's old angle videos", "gplus_url": "", "id": "x641cfe7f", "old_key_name": "u7hECeozxkgxUhUDlCc_ENDNrHPQrpgRpGmMl4EU", "hide": false, "title": "Sal's old angle videos", "child_data": [{"kind": "Video", "id": 24939}, {"kind": "Video", "id": 24941}, {"kind": "Video", "id": 24943}, {"kind": "Video", "id": 2600797}, {"kind": "Video", "id": 2600798}, {"kind": "Video", "id": 24947}, {"kind": "Video", "id": 24953}, {"kind": "Video", "id": 60129393}], "children": [{"translated_youtube_id": "2439OIVBgPg", "relative_url": "/video/introduction-to-angles--old", "has_questions": false, "keywords": "angles, geometry, supplementary, complementary, math, CC_4_G_1, CC_4_G_2, CC_4_MD_5", "ka_url": "http://www.khanacademy.org/video/introduction-to-angles--old", "duration": 595, "translated_title": "Introduction to angles (old)", "translated_description_html": "What an angle is. Angles in a circle. Complementary and supplementary angles.", "id": "24939", "description_html": "What an angle is. Angles in a circle. Complementary and supplementary angles.", "title": "Introduction to angles (old)", "progress_key": "v24939", "edit_slug": "edit/v/24939", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What an angle is. Angles in a circle. Complementary and supplementary angles.", "extra_properties": null, "node_slug": "v/introduction-to-angles--old", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2439OIVBgPg.mp4/2439OIVBgPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2439OIVBgPg.mp4/2439OIVBgPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2439OIVBgPg.m3u8/2439OIVBgPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2439OIVBgPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24939", "sha": "8fc0b4d4dca4912697c9ea0121c224afaea9a9e5", "translated_description": "What an angle is. Angles in a circle. Complementary and supplementary angles.", "image_url": "https://img.youtube.com/vi/2439OIVBgPg/hqdefault.jpg", "youtube_id": "2439OIVBgPg", "content_kind": "Video", "readable_id": "introduction-to-angles--old"}, {"translated_youtube_id": "zrqzG6xKa1A", "relative_url": "/video/angles--part-2", "has_questions": false, "keywords": "geometry, angles, opposite, complementary, supplementary, math, CC_4_MD_5, CC_4_MD_5_a, CC_4_MD_5_b, CC_7_G_5", "ka_url": "http://www.khanacademy.org/video/angles--part-2", "duration": 544, "translated_title": "Angles (part 2)", "translated_description_html": "More on complementary and supplementary angles. Introduction to opposite angles.", "id": "24941", "description_html": "More on complementary and supplementary angles. Introduction to opposite angles.", "title": "Angles (part 2)", "progress_key": "v24941", "edit_slug": "edit/v/24941", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on complementary and supplementary angles. Introduction to opposite angles.", "extra_properties": null, "node_slug": "v/angles--part-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zrqzG6xKa1A.mp4/zrqzG6xKa1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zrqzG6xKa1A.mp4/zrqzG6xKa1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zrqzG6xKa1A.m3u8/zrqzG6xKa1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zrqzG6xKa1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24941", "sha": "522979a2ab8ea28005b0527e57543e02b4f92e59", "translated_description": "More on complementary and supplementary angles. Introduction to opposite angles.", "image_url": "https://img.youtube.com/vi/zrqzG6xKa1A/hqdefault.jpg", "youtube_id": "zrqzG6xKa1A", "content_kind": "Video", "readable_id": "angles--part-2"}, {"translated_youtube_id": "NLg6hfoKKlE", "relative_url": "/video/angles--part-3", "has_questions": false, "keywords": "geometry, angles, transversal, parallel, alternate, interior, exterior, coressponding, math, CC_4_G_1, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/angles--part-3", "duration": 587, "translated_title": "Angles (part 3)", "translated_description_html": "Angles formed when a transversal intersects parallel lines.", "id": "24943", "description_html": "Angles formed when a transversal intersects parallel lines.", "title": "Angles (part 3)", "progress_key": "v24943", "edit_slug": "edit/v/24943", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Angles formed when a transversal intersects parallel lines.", "extra_properties": null, "node_slug": "v/angles--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NLg6hfoKKlE.mp4/NLg6hfoKKlE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NLg6hfoKKlE.mp4/NLg6hfoKKlE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NLg6hfoKKlE.m3u8/NLg6hfoKKlE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NLg6hfoKKlE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24943", "sha": "8f1f19686abbad307e7d42d9c3aaee4da0eeeafa", "translated_description": "Angles formed when a transversal intersects parallel lines.", "image_url": "https://img.youtube.com/vi/NLg6hfoKKlE/hqdefault.jpg", "youtube_id": "NLg6hfoKKlE", "content_kind": "Video", "readable_id": "angles--part-3"}, {"translated_youtube_id": "gRKZaojKeP0", "relative_url": "/video/angles-formed-between-transversals-and-parallel-lines", "has_questions": false, "keywords": "Angles, of, parallel, lines, transversal, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/angles-formed-between-transversals-and-parallel-lines", "duration": 473, "translated_title": "Angles formed between transversals and parallel lines", "translated_description_html": "Angles of parallel lines", "id": "2600797", "description_html": "Angles of parallel lines", "title": "Angles formed between transversals and parallel lines", "progress_key": "v2600797", "edit_slug": "edit/v/2600797", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Angles of parallel lines", "extra_properties": null, "node_slug": "v/angles-formed-between-transversals-and-parallel-lines", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gRKZaojKeP0.mp4/gRKZaojKeP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gRKZaojKeP0.mp4/gRKZaojKeP0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gRKZaojKeP0.m3u8/gRKZaojKeP0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gRKZaojKeP0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600797", "sha": "a7595d5adaadfd587af55beec3ecb18c4d6b9327", "translated_description": "Angles of parallel lines", "image_url": "https://img.youtube.com/vi/gRKZaojKeP0/hqdefault.jpg", "youtube_id": "gRKZaojKeP0", "content_kind": "Video", "readable_id": "angles-formed-between-transversals-and-parallel-lines"}, {"translated_youtube_id": "0eDwckZOffc", "relative_url": "/video/angles-of-parallel-lines-2", "has_questions": false, "keywords": "Angles, of, parallel, transversal, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/angles-of-parallel-lines-2", "duration": 315, "translated_title": "Angles of parallel lines 2", "translated_description_html": "Angles of parallel lines examples", "id": "2600798", "description_html": "Angles of parallel lines examples", "title": "Angles of parallel lines 2", "progress_key": "v2600798", "edit_slug": "edit/v/2600798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Angles of parallel lines examples", "extra_properties": null, "node_slug": "v/angles-of-parallel-lines-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0eDwckZOffc.mp4/0eDwckZOffc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0eDwckZOffc.mp4/0eDwckZOffc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0eDwckZOffc.m3u8/0eDwckZOffc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0eDwckZOffc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600798", "sha": "e24b574cf56424624c7d70740c08673d08022568", "translated_description": "Angles of parallel lines examples", "image_url": "https://img.youtube.com/vi/0eDwckZOffc/hqdefault.jpg", "youtube_id": "0eDwckZOffc", "content_kind": "Video", "readable_id": "angles-of-parallel-lines-2"}, {"translated_youtube_id": "kqU_ymV581c", "relative_url": "/video/the-angle-game", "has_questions": false, "keywords": "geometry, math, angles, complementary, supplementary, parallel, opposite, CC_7_G_5, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/the-angle-game", "duration": 541, "translated_title": "The angle game", "translated_description_html": "Using what we know to solve for angles in the Angle Game.", "id": "24947", "description_html": "Using what we know to solve for angles in the Angle Game.", "title": "The angle game", "progress_key": "v24947", "edit_slug": "edit/v/24947", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using what we know to solve for angles in the Angle Game.", "extra_properties": null, "node_slug": "v/the-angle-game", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kqU_ymV581c.mp4/kqU_ymV581c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kqU_ymV581c.mp4/kqU_ymV581c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kqU_ymV581c.m3u8/kqU_ymV581c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kqU_ymV581c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24947", "sha": "5e4730f36c5e98e8a14b51595cc1a6f8ff047cf7", "translated_description": "Using what we know to solve for angles in the Angle Game.", "image_url": "https://img.youtube.com/vi/kqU_ymV581c/hqdefault.jpg", "youtube_id": "kqU_ymV581c", "content_kind": "Video", "readable_id": "the-angle-game"}, {"translated_youtube_id": "ko-cYG3d6ec", "relative_url": "/video/angle-game--part-2", "has_questions": false, "keywords": "geometry, angles, complementary, triangle, supplementary, math, CC_7_G_5, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/angle-game--part-2", "duration": 589, "translated_title": "Angle game (part 2)", "translated_description_html": "More examples of the Angle Game.", "id": "24953", "description_html": "More examples of the Angle Game.", "title": "Angle game (part 2)", "progress_key": "v24953", "edit_slug": "edit/v/24953", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples of the Angle Game.", "extra_properties": null, "node_slug": "v/angle-game--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.mp4/ko-cYG3d6ec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.mp4/ko-cYG3d6ec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.m3u8/ko-cYG3d6ec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ko-cYG3d6ec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24953", "sha": "29041025bc3749ff357ecb33f93a732b94565163", "translated_description": "More examples of the Angle Game.", "image_url": "https://img.youtube.com/vi/ko-cYG3d6ec/hqdefault.jpg", "youtube_id": "ko-cYG3d6ec", "content_kind": "Video", "readable_id": "angle-game--part-2"}, {"translated_youtube_id": "ALhv3Rlydig", "relative_url": "/video/acute-right-and-obtuse-angles", "has_questions": false, "keywords": "angles, geometry, CC_4_G_1", "ka_url": "http://www.khanacademy.org/video/acute-right-and-obtuse-angles", "duration": 332, "translated_title": "Acute right and obtuse angles", "translated_description_html": "The difference between acute, obtuse and right angles", "id": "60129393", "description_html": "The difference between acute, obtuse and right angles", "title": "Acute right and obtuse angles", "progress_key": "v60129393", "edit_slug": "edit/v/60129393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between acute, obtuse and right angles", "extra_properties": {"original_url": ""}, "node_slug": "v/acute-right-and-obtuse-angles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.mp4/ALhv3Rlydig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ALhv3Rlydig.m3u8/ALhv3Rlydig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ALhv3Rlydig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129393", "sha": "65b8702bc4ac0883ee3cbf8ff5e68dd0758b3950", "translated_description": "The difference between acute, obtuse and right angles", "image_url": "https://img.youtube.com/vi/ALhv3Rlydig/hqdefault.jpg", "youtube_id": "ALhv3Rlydig", "content_kind": "Video", "readable_id": "acute-right-and-obtuse-angles"}], "twitter_url": "", "translated_description": "These are some of the classic, original angle video that Sal had done way back when (like 2007). Other tutorials are more polished than this one, but this one has charm. Also not bad if you're looking for more examples of angles between intersected lines, transversals and parallel lines.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "These are some of the classic, original angle video that Sal had done way back when (like 2007). Other tutorials are more polished than this one, but this one has charm. Also not bad if you're looking for more examples of angles between intersected lines, transversals and parallel lines.", "x_pos": 0.0, "node_slug": "old_angles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax641cfe7f", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/old_angles", "extended_slug": "math/geometry/parallel-and-perpendicular-lines/old_angles", "slug": "old_angles", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "002473f487fc68df539c6c638c4ae3ed7fa913b8", "standalone_title": "Sal's old angle videos", "y_pos": 0.0, "current_revision_key": "002473f487fc68df539c6c638c4ae3ed7fa913b8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl", "translated_standalone_title": "Complementary and supplementary angles", "translated_title": "Complementary and supplementary angles", "gplus_url": "", "id": "xc8806320", "old_key_name": null, "hide": false, "title": "Complementary and supplementary angles", "child_data": [{"kind": "Video", "id": 263439064}, {"kind": "Exercise", "id": 47799044}, {"kind": "Video", "id": "x0fe8e133"}, {"kind": "Video", "id": "x2e4ad4ea"}, {"kind": "Exercise", "id": 729494328}], "children": [{"translated_youtube_id": "BTnAlNSgNsY", "relative_url": "/video/complementary-and-supplementary-angles", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/complementary-and-supplementary-angles", "duration": 511, "translated_title": "Complementary and supplementary angles", "translated_description_html": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "id": "263439064", "description_html": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "title": "Complementary and supplementary angles", "progress_key": "v263439064", "edit_slug": "edit/v/263439064", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "extra_properties": {"original_url": ""}, "node_slug": "v/complementary-and-supplementary-angles", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-22T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.mp4/BTnAlNSgNsY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.mp4/BTnAlNSgNsY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BTnAlNSgNsY.m3u8/BTnAlNSgNsY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BTnAlNSgNsY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v263439064", "sha": "8ad51c6c462830ea7019f032e7ea42023403f475", "translated_description": "Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular", "image_url": "https://img.youtube.com/vi/BTnAlNSgNsY/hqdefault.jpg", "youtube_id": "BTnAlNSgNsY", "content_kind": "Video", "readable_id": "complementary-and-supplementary-angles"}, {"translated_youtube_id": "XDOH9Ul2OOM", "relative_url": "/video/example-using-algebra-to-find-measure-of-complementary-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-using-algebra-to-find-measure-of-complementary-angles", "duration": 153, "translated_title": "Example using algebra to find measure of complementary angles", "translated_description_html": "", "id": "x0fe8e133", "description_html": "", "title": "Example using algebra to find measure of complementary angles", "progress_key": "vx0fe8e133", "edit_slug": "edit/v/x0fe8e133", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/example-using-algebra-to-find-measure-of-complementary-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.mp4/XDOH9Ul2OOM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.mp4/XDOH9Ul2OOM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDOH9Ul2OOM.m3u8/XDOH9Ul2OOM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDOH9Ul2OOM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0fe8e133", "sha": "e5069474aaf822894351a0533214951d0546770a", "translated_description": "", "image_url": "https://img.youtube.com/vi/XDOH9Ul2OOM/hqdefault.jpg", "youtube_id": "XDOH9Ul2OOM", "content_kind": "Video", "readable_id": "example-using-algebra-to-find-measure-of-complementary-angles"}, {"translated_youtube_id": "zNtbi4OJs9I", "relative_url": "/video/example-using-algebra-to-find-measure-of-supplementary-angles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example-using-algebra-to-find-measure-of-supplementary-angles", "duration": 157, "translated_title": "Example using algebra to find measure of supplementary angles", "translated_description_html": "", "id": "x2e4ad4ea", "description_html": "", "title": "Example using algebra to find measure of supplementary angles", "progress_key": "vx2e4ad4ea", "edit_slug": "edit/v/x2e4ad4ea", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/example-using-algebra-to-find-measure-of-supplementary-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-07T19:56:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.mp4/zNtbi4OJs9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.mp4/zNtbi4OJs9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zNtbi4OJs9I.m3u8/zNtbi4OJs9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zNtbi4OJs9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2e4ad4ea", "sha": "7da866a863a53a31a36534bf5105471e28a062a1", "translated_description": "", "image_url": "https://img.youtube.com/vi/zNtbi4OJs9I/hqdefault.jpg", "youtube_id": "zNtbi4OJs9I", "content_kind": "Video", "readable_id": "example-using-algebra-to-find-measure-of-supplementary-angles"}], "twitter_url": "", "translated_description": "In this tutorial we'll look at the most famous types of angle-pairs--complementary and supplementary angles. This aren't particularly deep concepts, but you'll find they do come in handy!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll look at the most famous types of angle-pairs--complementary and supplementary angles. This aren't particularly deep concepts, but you'll find they do come in handy!", "x_pos": 0.0, "node_slug": "complementary-supplementary-angl", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T20:00:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8806320", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl", "extended_slug": "math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl", "slug": "complementary-supplementary-angl", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "204afe714c4219eacd58ebd1f4df0dfc784af0a1", "standalone_title": "Complementary and supplementary angles", "y_pos": 0.0, "current_revision_key": "204afe714c4219eacd58ebd1f4df0dfc784af0a1", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other.", "x_pos": -26.0, "node_slug": "parallel-and-perpendicular-lines", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T20:00:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6ddff038", "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines", "extended_slug": "math/geometry/parallel-and-perpendicular-lines", "slug": "parallel-and-perpendicular-lines", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1d604c03a1931af9b9bc1dbed0099217edc5f0a1", "standalone_title": "Angles and intersecting lines", "y_pos": 31.0, "current_revision_key": "1d604c03a1931af9b9bc1dbed0099217edc5f0a1", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/congruent-triangles-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/congruent-triangles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/congruent-triangles", "translated_standalone_title": "Congruent triangles", "translated_title": "Congruent triangles", "gplus_url": "", "id": "x7f4d2dc1", "old_key_name": "xR_zAHtYLpu0FWR2TblREw3SnSwSj_kib0mhmpoP", "hide": false, "title": "Congruent triangles", "child_data": [{"kind": "Topic", "id": "xda5e2eb7"}, {"kind": "Topic", "id": "x0ebb1835"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/congruent-triangles/cong_triangle", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle", "translated_standalone_title": "Formal understanding of congruency", "translated_title": "Congruence postulates", "gplus_url": "", "id": "xda5e2eb7", "old_key_name": "TSChhXWegtxBlDTxy9gOCMW30LsRdaP9z_P9bQpc", "hide": false, "title": "Congruence postulates", "child_data": [{"kind": "Video", "id": 267245528}, {"kind": "Video", "id": 267245530}, {"kind": "Video", "id": 267245529}, {"kind": "Video", "id": 267245527}, {"kind": "Video", "id": 274218420}, {"kind": "Exercise", "id": 348091349}, {"kind": "Video", "id": 274218421}, {"kind": "Video", "id": 298420732}, {"kind": "Video", "id": 274218423}, {"kind": "Video", "id": 274218422}, {"kind": "Exercise", "id": 251567894}, {"kind": "Exercise", "id": 251580500}], "children": [{"translated_youtube_id": "CJrVOf_3dN0", "relative_url": "/video/congruent-triangles-and-sss", "has_questions": false, "keywords": "side, congruence", "ka_url": "http://www.khanacademy.org/video/congruent-triangles-and-sss", "duration": 689, "translated_title": "Congruent triangles and SSS", "translated_description_html": "What it means for triangles to be congruent", "id": "267245528", "description_html": "What it means for triangles to be congruent", "title": "Congruent triangles and SSS", "progress_key": "v267245528", "edit_slug": "edit/v/267245528", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What it means for triangles to be congruent", "extra_properties": null, "node_slug": "v/congruent-triangles-and-sss", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-24T10:01:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJrVOf_3dN0.mp4/CJrVOf_3dN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJrVOf_3dN0.mp4/CJrVOf_3dN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CJrVOf_3dN0.m3u8/CJrVOf_3dN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CJrVOf_3dN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v267245528", "sha": "1b5e30c411c10a6c3e1a9facdf503b0e6d9e96e0", "translated_description": "What it means for triangles to be congruent", "image_url": "https://img.youtube.com/vi/CJrVOf_3dN0/hqdefault.jpg", "youtube_id": "CJrVOf_3dN0", "content_kind": "Video", "readable_id": "congruent-triangles-and-sss"}, {"translated_youtube_id": "TgDk06Qayxw", "relative_url": "/video/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects", "has_questions": false, "keywords": "side, theorem, axiom, postulate", "ka_url": "http://www.khanacademy.org/video/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects", "duration": 499, "translated_title": "SSS to show a radius is perpendicular to a chord that it bisects", "translated_description_html": "More on the difference between a theorem and axiom. Proving a cool result using SSS", "id": "267245530", "description_html": "More on the difference between a theorem and axiom. Proving a cool result using SSS", "title": "SSS to show a radius is perpendicular to a chord that it bisects", "progress_key": "v267245530", "edit_slug": "edit/v/267245530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the difference between a theorem and axiom. Proving a cool result using SSS", "extra_properties": null, "node_slug": "v/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-24T10:01:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TgDk06Qayxw.mp4/TgDk06Qayxw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TgDk06Qayxw.mp4/TgDk06Qayxw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TgDk06Qayxw.m3u8/TgDk06Qayxw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TgDk06Qayxw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v267245530", "sha": "92d803edaa44e543a610a0f9870a39c0105be1a9", "translated_description": "More on the difference between a theorem and axiom. Proving a cool result using SSS", "image_url": "https://img.youtube.com/vi/TgDk06Qayxw/hqdefault.jpg", "youtube_id": "TgDk06Qayxw", "content_kind": "Video", "readable_id": "sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects"}, {"translated_youtube_id": "8Ld8Csu4sEs", "relative_url": "/video/other-triangle-congruence-postulates", "has_questions": false, "keywords": "SSA, SAS, ASA, AAS, theorem, postulates, axioms, similar, triangles", "ka_url": "http://www.khanacademy.org/video/other-triangle-congruence-postulates", "duration": 808, "translated_title": "Other triangle congruence postulates", "translated_description_html": "SSS, SAS, ASA and AAS postulates for congruent triangles. Showing AAA is only good for similarity and SSA is good for neither", "id": "267245529", "description_html": "SSS, SAS, ASA and AAS postulates for congruent triangles. Showing AAA is only good for similarity and SSA is good for neither", "title": "Other triangle congruence postulates", "progress_key": "v267245529", "edit_slug": "edit/v/267245529", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "SSS, SAS, ASA and AAS postulates for congruent triangles. Showing AAA is only good for similarity and SSA is good for neither", "extra_properties": null, "node_slug": "v/other-triangle-congruence-postulates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-24T10:01:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Ld8Csu4sEs.mp4/8Ld8Csu4sEs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Ld8Csu4sEs.mp4/8Ld8Csu4sEs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Ld8Csu4sEs.m3u8/8Ld8Csu4sEs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Ld8Csu4sEs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v267245529", "sha": "372cb68bd7100adaff41791e042117ae807b3aca", "translated_description": "SSS, SAS, ASA and AAS postulates for congruent triangles. Showing AAA is only good for similarity and SSA is good for neither", "image_url": "https://img.youtube.com/vi/8Ld8Csu4sEs/hqdefault.jpg", "youtube_id": "8Ld8Csu4sEs", "content_kind": "Video", "readable_id": "other-triangle-congruence-postulates"}, {"translated_youtube_id": "fSu1LKnhM5Q", "relative_url": "/video/two-column-proof-showing-segments-are-perpendicular", "has_questions": false, "keywords": "SSS, SAS, ASA, AAS", "ka_url": "http://www.khanacademy.org/video/two-column-proof-showing-segments-are-perpendicular", "duration": 666, "translated_title": "Two column proof showing segments are perpendicular", "translated_description_html": "Using triangle congruency postulates to show that two intersecting segments are perpendicular", "id": "267245527", "description_html": "Using triangle congruency postulates to show that two intersecting segments are perpendicular", "title": "Two column proof showing segments are perpendicular", "progress_key": "v267245527", "edit_slug": "edit/v/267245527", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using triangle congruency postulates to show that two intersecting segments are perpendicular", "extra_properties": null, "node_slug": "v/two-column-proof-showing-segments-are-perpendicular", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-24T10:01:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fSu1LKnhM5Q.mp4/fSu1LKnhM5Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fSu1LKnhM5Q.mp4/fSu1LKnhM5Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fSu1LKnhM5Q.m3u8/fSu1LKnhM5Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fSu1LKnhM5Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v267245527", "sha": "d4c88272caf86afd4fbb017e53605ae9f8c27af2", "translated_description": "Using triangle congruency postulates to show that two intersecting segments are perpendicular", "image_url": "https://img.youtube.com/vi/fSu1LKnhM5Q/hqdefault.jpg", "youtube_id": "fSu1LKnhM5Q", "content_kind": "Video", "readable_id": "two-column-proof-showing-segments-are-perpendicular"}, {"translated_youtube_id": "d5UCZ9hO8X4", "relative_url": "/video/finding-congruent-triangles", "has_questions": false, "keywords": "geometry, congruent, triangles", "ka_url": "http://www.khanacademy.org/video/finding-congruent-triangles", "duration": 448, "translated_title": "Finding congruent triangles", "translated_description_html": "Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles", "id": "274218420", "description_html": "Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles", "title": "Finding congruent triangles", "progress_key": "v274218420", "edit_slug": "edit/v/274218420", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles", "extra_properties": null, "node_slug": "v/finding-congruent-triangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-27T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d5UCZ9hO8X4.mp4/d5UCZ9hO8X4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d5UCZ9hO8X4.mp4/d5UCZ9hO8X4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d5UCZ9hO8X4.m3u8/d5UCZ9hO8X4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d5UCZ9hO8X4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v274218420", "sha": "56ebd51bc24de7799c14b72d0ce2ac9c26c79e8e", "translated_description": "Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles", "image_url": "https://img.youtube.com/vi/d5UCZ9hO8X4/hqdefault.jpg", "youtube_id": "d5UCZ9hO8X4", "content_kind": "Video", "readable_id": "finding-congruent-triangles"}, {"translated_youtube_id": "f8svAm237xM", "relative_url": "/video/more-on-why-ssa-is-not-a-postulate", "has_questions": false, "keywords": "geometry, postulates", "ka_url": "http://www.khanacademy.org/video/more-on-why-ssa-is-not-a-postulate", "duration": 444, "translated_title": "More on why SSA is not a postulate", "translated_description_html": "SSA special cases including RSH", "id": "274218421", "description_html": "SSA special cases including RSH", "title": "More on why SSA is not a postulate", "progress_key": "v274218421", "edit_slug": "edit/v/274218421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "SSA special cases including RSH", "extra_properties": null, "node_slug": "v/more-on-why-ssa-is-not-a-postulate", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-27T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f8svAm237xM.mp4/f8svAm237xM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f8svAm237xM.mp4/f8svAm237xM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f8svAm237xM.m3u8/f8svAm237xM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f8svAm237xM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v274218421", "sha": "da79d76eb65505853bb917bd56a07c833a1851a6", "translated_description": "SSA special cases including RSH", "image_url": "https://img.youtube.com/vi/f8svAm237xM/hqdefault.jpg", "youtube_id": "f8svAm237xM", "content_kind": "Video", "readable_id": "more-on-why-ssa-is-not-a-postulate"}, {"translated_youtube_id": "q7eF5Ci944U", "relative_url": "/video/perpendicular-radius-bisects-chord", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/perpendicular-radius-bisects-chord", "duration": 417, "translated_title": "Perpendicular radius bisects chord", "translated_description_html": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "id": "298420732", "description_html": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "title": "Perpendicular radius bisects chord", "progress_key": "v298420732", "edit_slug": "edit/v/298420732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "extra_properties": null, "node_slug": "v/perpendicular-radius-bisects-chord", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-08T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.mp4/q7eF5Ci944U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.mp4/q7eF5Ci944U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.m3u8/q7eF5Ci944U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7eF5Ci944U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v298420732", "sha": "05e5bb0fd8000a1e52ff850c0ca00a8f45378675", "translated_description": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "image_url": "https://img.youtube.com/vi/q7eF5Ci944U/hqdefault.jpg", "youtube_id": "q7eF5Ci944U", "content_kind": "Video", "readable_id": "perpendicular-radius-bisects-chord"}, {"translated_youtube_id": "RFesGHsuFZw", "relative_url": "/video/congruent-triangle-proof-example", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/congruent-triangle-proof-example", "duration": 346, "translated_title": "Congruent triangle proof example", "translated_description_html": "Proving that a point is the midpoint via triangle congruency", "id": "274218423", "description_html": "Proving that a point is the midpoint via triangle congruency", "title": "Congruent triangle proof example", "progress_key": "v274218423", "edit_slug": "edit/v/274218423", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proving that a point is the midpoint via triangle congruency", "extra_properties": null, "node_slug": "v/congruent-triangle-proof-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-27T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RFesGHsuFZw.mp4/RFesGHsuFZw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RFesGHsuFZw.mp4/RFesGHsuFZw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RFesGHsuFZw.m3u8/RFesGHsuFZw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RFesGHsuFZw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v274218423", "sha": "75f63a434ab1e30b68e5e6b1bb4102118422b558", "translated_description": "Proving that a point is the midpoint via triangle congruency", "image_url": "https://img.youtube.com/vi/RFesGHsuFZw/hqdefault.jpg", "youtube_id": "RFesGHsuFZw", "content_kind": "Video", "readable_id": "congruent-triangle-proof-example"}, {"translated_youtube_id": "Xc3oHzKXVh8", "relative_url": "/video/congruent-triangle-example-2", "has_questions": false, "keywords": "congruent, triangles, ASA, SSS, SAS, AAS", "ka_url": "http://www.khanacademy.org/video/congruent-triangle-example-2", "duration": 734, "translated_title": "Congruent triangle example 2", "translated_description_html": "Showing that segments have the same length", "id": "274218422", "description_html": "Showing that segments have the same length", "title": "Congruent triangle example 2", "progress_key": "v274218422", "edit_slug": "edit/v/274218422", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that segments have the same length", "extra_properties": null, "node_slug": "v/congruent-triangle-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-27T10:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xc3oHzKXVh8.mp4/Xc3oHzKXVh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xc3oHzKXVh8.mp4/Xc3oHzKXVh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xc3oHzKXVh8.m3u8/Xc3oHzKXVh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xc3oHzKXVh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v274218422", "sha": "dd54dc905041de461a336fd167d9f8b4b597dcb5", "translated_description": "Showing that segments have the same length", "image_url": "https://img.youtube.com/vi/Xc3oHzKXVh8/hqdefault.jpg", "youtube_id": "Xc3oHzKXVh8", "content_kind": "Video", "readable_id": "congruent-triangle-example-2"}], "twitter_url": "", "translated_description": "We begin to seriously channel Euclid in this tutorial to really, really (no, really) prove things--in particular, that triangles are congruents. You'll appreciate (and love) what rigorous proofs are. It will sharpen your mind and make you a better friend, relative and citizen (and make you more popular in general). Don't have too much fun.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We begin to seriously channel Euclid in this tutorial to really, really (no, really) prove things--in particular, that triangles are congruents. You'll appreciate (and love) what rigorous proofs are. It will sharpen your mind and make you a better friend, relative and citizen (and make you more popular in general). Don't have too much fun.", "x_pos": 0.0, "node_slug": "cong_triangle", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda5e2eb7", "topic_page_url": "/math/geometry/congruent-triangles/cong_triangle", "extended_slug": "math/geometry/congruent-triangles/cong_triangle", "slug": "cong_triangle", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9b43a5ae4979409d9f541677331d3f97dfc57bfc", "standalone_title": "Formal understanding of congruency", "y_pos": 0.0, "current_revision_key": "9b43a5ae4979409d9f541677331d3f97dfc57bfc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/congruent-triangles/isoscleles_equil", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil", "translated_standalone_title": "Isosceles and equilateral triangles", "translated_title": "Congruence and isosceles and equilateral triangles", "gplus_url": "", "id": "x0ebb1835", "old_key_name": "NvJkNSi6Tktvv_SEakSEswdUeZgK9iPGxr4KOfMV", "hide": false, "title": "Congruence and isosceles and equilateral triangles", "child_data": [{"kind": "Video", "id": 281570417}, {"kind": "Video", "id": 281570421}, {"kind": "Video", "id": 281570418}, {"kind": "Exercise", "id": 251598327}, {"kind": "Exercise", "id": 251591675}, {"kind": "Video", "id": 281570420}, {"kind": "Video", "id": 281570419}, {"kind": "Video", "id": 281570422}, {"kind": "Video", "id": 957153466}, {"kind": "Video", "id": 956988711}, {"kind": "Exercise", "id": 917313596}, {"kind": "Video", "id": 957286154}, {"kind": "Video", "id": 956964732}, {"kind": "Exercise", "id": 889739429}, {"kind": "Video", "id": 957160570}, {"kind": "Exercise", "id": 889814162}, {"kind": "Video", "id": 353965912}], "children": [{"translated_youtube_id": "7UISwx2Mr4c", "relative_url": "/video/congruent-legs-and-base-angles-of-isosceles-triangles", "has_questions": false, "keywords": "Congruent, legs, and, base, angles, of, Isosceles, Triangles", "ka_url": "http://www.khanacademy.org/video/congruent-legs-and-base-angles-of-isosceles-triangles", "duration": 543, "translated_title": "Congruent legs and base angles of isosceles triangles", "translated_description_html": "Showing that congruent legs imply equal base angles and vice versa", "id": "281570417", "description_html": "Showing that congruent legs imply equal base angles and vice versa", "title": "Congruent legs and base angles of isosceles triangles", "progress_key": "v281570417", "edit_slug": "edit/v/281570417", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that congruent legs imply equal base angles and vice versa", "extra_properties": null, "node_slug": "v/congruent-legs-and-base-angles-of-isosceles-triangles", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7UISwx2Mr4c.mp4/7UISwx2Mr4c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7UISwx2Mr4c.mp4/7UISwx2Mr4c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7UISwx2Mr4c.m3u8/7UISwx2Mr4c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7UISwx2Mr4c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570417", "sha": "57f63f6a24aba4162291284c606e59f3f594c408", "translated_description": "Showing that congruent legs imply equal base angles and vice versa", "image_url": "https://img.youtube.com/vi/7UISwx2Mr4c/hqdefault.jpg", "youtube_id": "7UISwx2Mr4c", "content_kind": "Video", "readable_id": "congruent-legs-and-base-angles-of-isosceles-triangles"}, {"translated_youtube_id": "CYNUwiUzlPk", "relative_url": "/video/equilateral-triangle-sides-and-angles-congruent", "has_questions": false, "keywords": "Equilateral, Triangle, Sides, and, Angles, Congruent", "ka_url": "http://www.khanacademy.org/video/equilateral-triangle-sides-and-angles-congruent", "duration": 389, "translated_title": "Equilateral triangle sides and angles congruent", "translated_description_html": "Showing that all of the angles of an equilateral triangle are 60 degrees", "id": "281570421", "description_html": "Showing that all of the angles of an equilateral triangle are 60 degrees", "title": "Equilateral triangle sides and angles congruent", "progress_key": "v281570421", "edit_slug": "edit/v/281570421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that all of the angles of an equilateral triangle are 60 degrees", "extra_properties": null, "node_slug": "v/equilateral-triangle-sides-and-angles-congruent", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CYNUwiUzlPk.mp4/CYNUwiUzlPk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CYNUwiUzlPk.mp4/CYNUwiUzlPk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CYNUwiUzlPk.m3u8/CYNUwiUzlPk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CYNUwiUzlPk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570421", "sha": "48c69dda8275d8ecfbf5a01d795b0acea7b87385", "translated_description": "Showing that all of the angles of an equilateral triangle are 60 degrees", "image_url": "https://img.youtube.com/vi/CYNUwiUzlPk/hqdefault.jpg", "youtube_id": "CYNUwiUzlPk", "content_kind": "Video", "readable_id": "equilateral-triangle-sides-and-angles-congruent"}, {"translated_youtube_id": "7FTNWE7RTfQ", "relative_url": "/video/equilateral-and-isosceles-example-problems", "has_questions": false, "keywords": "Equilateral, and, Isosceles, Example, Problems", "ka_url": "http://www.khanacademy.org/video/equilateral-and-isosceles-example-problems", "duration": 387, "translated_title": "Equilateral and isosceles example problems", "translated_description_html": "Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Ruscyk) book", "id": "281570418", "description_html": "Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Ruscyk) book", "title": "Equilateral and isosceles example problems", "progress_key": "v281570418", "edit_slug": "edit/v/281570418", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Ruscyk) book", "extra_properties": null, "node_slug": "v/equilateral-and-isosceles-example-problems", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7FTNWE7RTfQ.mp4/7FTNWE7RTfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7FTNWE7RTfQ.mp4/7FTNWE7RTfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7FTNWE7RTfQ.m3u8/7FTNWE7RTfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7FTNWE7RTfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570418", "sha": "e365cfb289dadc7e6752311b708989c6f3d52e8b", "translated_description": "Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Ruscyk) book", "image_url": "https://img.youtube.com/vi/7FTNWE7RTfQ/hqdefault.jpg", "youtube_id": "7FTNWE7RTfQ", "content_kind": "Video", "readable_id": "equilateral-and-isosceles-example-problems"}, {"translated_youtube_id": "ceDV0QBpcMA", "relative_url": "/video/another-isosceles-example-problem", "has_questions": false, "keywords": "Another, Isosceles, Example, Problem", "ka_url": "http://www.khanacademy.org/video/another-isosceles-example-problem", "duration": 334, "translated_title": "Another isosceles example problem", "translated_description_html": "Possible angles for an isosceles triangle", "id": "281570420", "description_html": "Possible angles for an isosceles triangle", "title": "Another isosceles example problem", "progress_key": "v281570420", "edit_slug": "edit/v/281570420", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Possible angles for an isosceles triangle", "extra_properties": null, "node_slug": "v/another-isosceles-example-problem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ceDV0QBpcMA.mp4/ceDV0QBpcMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ceDV0QBpcMA.mp4/ceDV0QBpcMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ceDV0QBpcMA.m3u8/ceDV0QBpcMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ceDV0QBpcMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570420", "sha": "bca5bc6045ae6e9b74758e90157a5902b18a2ba2", "translated_description": "Possible angles for an isosceles triangle", "image_url": "https://img.youtube.com/vi/ceDV0QBpcMA/hqdefault.jpg", "youtube_id": "ceDV0QBpcMA", "content_kind": "Video", "readable_id": "another-isosceles-example-problem"}, {"translated_youtube_id": "CVKAro3HUxQ", "relative_url": "/video/example-involving-an-isosceles-triangle-and-parallel-lines", "has_questions": false, "keywords": "Example, involving, an, isosceles, triangle, and, parallel, lines", "ka_url": "http://www.khanacademy.org/video/example-involving-an-isosceles-triangle-and-parallel-lines", "duration": 195, "translated_title": "Example involving an isosceles triangle and parallel lines", "translated_description_html": "Integrating what we know about isosceles triangles and parallel lines", "id": "281570419", "description_html": "Integrating what we know about isosceles triangles and parallel lines", "title": "Example involving an isosceles triangle and parallel lines", "progress_key": "v281570419", "edit_slug": "edit/v/281570419", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Integrating what we know about isosceles triangles and parallel lines", "extra_properties": null, "node_slug": "v/example-involving-an-isosceles-triangle-and-parallel-lines", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CVKAro3HUxQ.mp4/CVKAro3HUxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CVKAro3HUxQ.mp4/CVKAro3HUxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CVKAro3HUxQ.m3u8/CVKAro3HUxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CVKAro3HUxQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570419", "sha": "77363d2b4d5c6b9338c8c179267d82b30413076f", "translated_description": "Integrating what we know about isosceles triangles and parallel lines", "image_url": "https://img.youtube.com/vi/CVKAro3HUxQ/hqdefault.jpg", "youtube_id": "CVKAro3HUxQ", "content_kind": "Video", "readable_id": "example-involving-an-isosceles-triangle-and-parallel-lines"}, {"translated_youtube_id": "aDCXPdzyS0s", "relative_url": "/video/figuring-out-all-the-angles-for-congruent-triangles-example", "has_questions": false, "keywords": "Figuring, out, all, the, angles, for, congruent, triangles, example", "ka_url": "http://www.khanacademy.org/video/figuring-out-all-the-angles-for-congruent-triangles-example", "duration": 275, "translated_title": "Figuring out all the angles for congruent triangles example", "translated_description_html": "Another example of using congruency to figure out a bunch of angles", "id": "281570422", "description_html": "Another example of using congruency to figure out a bunch of angles", "title": "Figuring out all the angles for congruent triangles example", "progress_key": "v281570422", "edit_slug": "edit/v/281570422", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of using congruency to figure out a bunch of angles", "extra_properties": null, "node_slug": "v/figuring-out-all-the-angles-for-congruent-triangles-example", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-09-30T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aDCXPdzyS0s.mp4/aDCXPdzyS0s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aDCXPdzyS0s.mp4/aDCXPdzyS0s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aDCXPdzyS0s.m3u8/aDCXPdzyS0s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aDCXPdzyS0s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v281570422", "sha": "545e21b3551da5b12a0eed22ff4bdb6c3064ab5f", "translated_description": "Another example of using congruency to figure out a bunch of angles", "image_url": "https://img.youtube.com/vi/aDCXPdzyS0s/hqdefault.jpg", "youtube_id": "aDCXPdzyS0s", "content_kind": "Video", "readable_id": "figuring-out-all-the-angles-for-congruent-triangles-example"}, {"translated_youtube_id": "gHMPEkoFVko", "relative_url": "/video/basic-triangle-proofs-module-example", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/basic-triangle-proofs-module-example", "duration": 118, "translated_title": "Basic triangle proofs module example", "translated_description_html": "Simple worked example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "id": "957153466", "description_html": "Simple worked example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "title": "Basic triangle proofs module example", "progress_key": "v957153466", "edit_slug": "edit/v/957153466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simple worked example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "extra_properties": null, "node_slug": "v/basic-triangle-proofs-module-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-08-10T23:39:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gHMPEkoFVko.mp4/gHMPEkoFVko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gHMPEkoFVko.mp4/gHMPEkoFVko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gHMPEkoFVko.m3u8/gHMPEkoFVko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gHMPEkoFVko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v957153466", "sha": "f146c6ffa6a17ecdcae2e561a71863c66982d82e", "translated_description": "Simple worked example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "image_url": "https://img.youtube.com/vi/gHMPEkoFVko/hqdefault.jpg", "youtube_id": "gHMPEkoFVko", "content_kind": "Video", "readable_id": "basic-triangle-proofs-module-example"}, {"translated_youtube_id": "NDeDnfuoDQM", "relative_url": "/video/basic-triangle-proofs-module-example-2", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/basic-triangle-proofs-module-example-2", "duration": 173, "translated_title": "Basic triangle proofs module example 2", "translated_description_html": "Another example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "id": "956988711", "description_html": "Another example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "title": "Basic triangle proofs module example 2", "progress_key": "v956988711", "edit_slug": "edit/v/956988711", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "extra_properties": null, "node_slug": "v/basic-triangle-proofs-module-example-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-08-10T23:40:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NDeDnfuoDQM.mp4/NDeDnfuoDQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NDeDnfuoDQM.mp4/NDeDnfuoDQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NDeDnfuoDQM.m3u8/NDeDnfuoDQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NDeDnfuoDQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956988711", "sha": "87cb1aab9bb76ccac857119b3bc7b6bd299ce967", "translated_description": "Another example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro", "image_url": "https://img.youtube.com/vi/NDeDnfuoDQM/hqdefault.jpg", "youtube_id": "NDeDnfuoDQM", "content_kind": "Video", "readable_id": "basic-triangle-proofs-module-example-2"}, {"translated_youtube_id": "e4CGX2LXMX0", "relative_url": "/video/fill-in-the-blank-triangle-proofs-example-1", "has_questions": false, "keywords": "geometry, proofs, khan, academy", "ka_url": "http://www.khanacademy.org/video/fill-in-the-blank-triangle-proofs-example-1", "duration": 582, "translated_title": "Fill-in-the-blank triangle proofs example 1", "translated_description_html": "Sal works through an example of http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "id": "957286154", "description_html": "Sal works through an example of http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "title": "Fill-in-the-blank triangle proofs example 1", "progress_key": "v957286154", "edit_slug": "edit/v/957286154", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal works through an example of http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "extra_properties": null, "node_slug": "v/fill-in-the-blank-triangle-proofs-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-10T23:40:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e4CGX2LXMX0.mp4/e4CGX2LXMX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e4CGX2LXMX0.mp4/e4CGX2LXMX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e4CGX2LXMX0.m3u8/e4CGX2LXMX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e4CGX2LXMX0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v957286154", "sha": "39e3aa9300e441446eaf82f4c278968960f31164", "translated_description": "Sal works through an example of http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "image_url": "https://img.youtube.com/vi/e4CGX2LXMX0/hqdefault.jpg", "youtube_id": "e4CGX2LXMX0", "content_kind": "Video", "readable_id": "fill-in-the-blank-triangle-proofs-example-1"}, {"translated_youtube_id": "UTQ6z7_dlSk", "relative_url": "/video/fill-in-the-blank-triangle-proofs-example-2", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/fill-in-the-blank-triangle-proofs-example-2", "duration": 399, "translated_title": "Fill-in-the-blank triangle proofs example 2", "translated_description_html": "Worked example for this type of module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "id": "956964732", "description_html": "Worked example for this type of module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "title": "Fill-in-the-blank triangle proofs example 2", "progress_key": "v956964732", "edit_slug": "edit/v/956964732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example for this type of module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "extra_properties": null, "node_slug": "v/fill-in-the-blank-triangle-proofs-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-10T23:40:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UTQ6z7_dlSk.mp4/UTQ6z7_dlSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UTQ6z7_dlSk.mp4/UTQ6z7_dlSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UTQ6z7_dlSk.m3u8/UTQ6z7_dlSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UTQ6z7_dlSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956964732", "sha": "ff00de91069750d1f91c13a3fabab21435002c30", "translated_description": "Worked example for this type of module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1", "image_url": "https://img.youtube.com/vi/UTQ6z7_dlSk/hqdefault.jpg", "youtube_id": "UTQ6z7_dlSk", "content_kind": "Video", "readable_id": "fill-in-the-blank-triangle-proofs-example-2"}, {"translated_youtube_id": "3RYME7HTJ8c", "relative_url": "/video/wrong-statements-in-proofs-example-1", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/wrong-statements-in-proofs-example-1", "duration": 169, "translated_title": "Wrong statements in triangle proofs example 1", "translated_description_html": "

Example of working through this module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_2<\/p>\n", "id": "957160570", "description_html": "

Example of working through this module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_2<\/p>\n", "title": "Wrong statements in triangle proofs example 1", "progress_key": "v957160570", "edit_slug": "edit/v/957160570", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of working through this module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/wrong-statements-in-proofs-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-08-10T23:40:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3RYME7HTJ8c.mp4/3RYME7HTJ8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3RYME7HTJ8c.mp4/3RYME7HTJ8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3RYME7HTJ8c.m3u8/3RYME7HTJ8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3RYME7HTJ8c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v957160570", "sha": "7ed2707c335f21fff58828f9010c1a38cf3de04a", "translated_description": "Example of working through this module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_2\n", "image_url": "https://img.youtube.com/vi/3RYME7HTJ8c/hqdefault.jpg", "youtube_id": "3RYME7HTJ8c", "content_kind": "Video", "readable_id": "wrong-statements-in-proofs-example-1"}, {"translated_youtube_id": "3n0LvI99-KM", "relative_url": "/video/problem-involving-angle-derived-from-square-and-circle", "has_questions": false, "keywords": "geometry, circle, radius", "ka_url": "http://www.khanacademy.org/video/problem-involving-angle-derived-from-square-and-circle", "duration": 495, "translated_title": "Problem involving angle derived from square and circle", "translated_description_html": "Challenging problem to find an angle", "id": "353965912", "description_html": "Challenging problem to find an angle", "title": "Problem involving angle derived from square and circle", "progress_key": "v353965912", "edit_slug": "edit/v/353965912", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Challenging problem to find an angle", "extra_properties": null, "node_slug": "v/problem-involving-angle-derived-from-square-and-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-03T10:06:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3n0LvI99-KM.mp4/3n0LvI99-KM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3n0LvI99-KM.mp4/3n0LvI99-KM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3n0LvI99-KM.m3u8/3n0LvI99-KM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3n0LvI99-KM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v353965912", "sha": "94976a53bf84fd201487488d0fa6e78436ef7fe3", "translated_description": "Challenging problem to find an angle", "image_url": "https://img.youtube.com/vi/3n0LvI99-KM/hqdefault.jpg", "youtube_id": "3n0LvI99-KM", "content_kind": "Video", "readable_id": "problem-involving-angle-derived-from-square-and-circle"}], "twitter_url": "", "translated_description": "This tutorial uses our understanding of congruence postulates to prove some neat properties of isosceles and equilateral triangles.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial uses our understanding of congruence postulates to prove some neat properties of isosceles and equilateral triangles.", "x_pos": 0.0, "node_slug": "isoscleles_equil", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ebb1835", "topic_page_url": "/math/geometry/congruent-triangles/isoscleles_equil", "extended_slug": "math/geometry/congruent-triangles/isoscleles_equil", "slug": "isoscleles_equil", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3d92d777c1fc0cc13b0064f50d04fb4053823a32", "standalone_title": "Isosceles and equilateral triangles", "y_pos": 0.0, "current_revision_key": "3d92d777c1fc0cc13b0064f50d04fb4053823a32", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "If you can take one figure and flip, shift and rotate (not resize) it to be identical to another figure, then the two figures are congruent. This topic explores this foundational idea in geometry.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "If you can take one figure and flip, shift and rotate (not resize) it to be identical to another figure, then the two figures are congruent. This topic explores this foundational idea in geometry.", "x_pos": -26.0, "node_slug": "congruent-triangles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f4d2dc1", "topic_page_url": "/math/geometry/congruent-triangles", "extended_slug": "math/geometry/congruent-triangles", "slug": "congruent-triangles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "67eccb75552f0aeb0baa0e7bca303ea4a3d1937a", "standalone_title": "Congruent triangles", "y_pos": 37.0, "current_revision_key": "67eccb75552f0aeb0baa0e7bca303ea4a3d1937a", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/basic-geometry-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry", "translated_standalone_title": "Perimeter, area and volume", "translated_title": "Perimeter, area and volume", "gplus_url": "", "id": "x733a047e", "old_key_name": "10MlOxExUBBQNHgviilzlgi9KIpYSd7NQ2Z1todb", "hide": false, "title": "Perimeter, area and volume", "child_data": [{"kind": "Topic", "id": "x6d532096"}, {"kind": "Topic", "id": "x45ea0ae3"}, {"kind": "Topic", "id": "x3e8b1476"}, {"kind": "Topic", "id": "xaea89b2c"}, {"kind": "Topic", "id": "x9c7e637c"}, {"kind": "Topic", "id": "x8fc0f183"}, {"kind": "Topic", "id": "x80bb3b66"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/perimeter_area_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial", "translated_standalone_title": "Perimeter and area", "translated_title": "Perimeter and area of triangles", "gplus_url": "", "id": "x6d532096", "old_key_name": "ndsG4K3uEwcXuGXxedpXVkeadJkGhwL3PRZlkWbQ", "hide": false, "title": "Perimeter and area of triangles", "child_data": [{"kind": "Video", "id": 283213901}, {"kind": "Video", "id": 283213902}, {"kind": "Exercise", "id": 920312137}, {"kind": "Video", "id": 283213903}, {"kind": "Video", "id": 2600582}, {"kind": "Video", "id": 294658865}, {"kind": "Video", "id": "xd65354b0"}, {"kind": "Exercise", "id": 898809023}, {"kind": "Video", "id": 283213900}], "children": [{"translated_youtube_id": "LoaBd-sPzkU", "relative_url": "/video/perimeter-and-area-basics", "has_questions": false, "keywords": "Perimeter, and, Area, Basics", "ka_url": "http://www.khanacademy.org/video/perimeter-and-area-basics", "duration": 505, "translated_title": "Perimeter and area basics", "translated_description_html": "", "id": "283213901", "description_html": "", "title": "Perimeter and area basics", "progress_key": "v283213901", "edit_slug": "edit/v/283213901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/perimeter-and-area-basics", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.m3u8/LoaBd-sPzkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LoaBd-sPzkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213901", "sha": "09e171d451ecb77b7bc1b2d99b1e6c38508c14d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/LoaBd-sPzkU/hqdefault.jpg", "youtube_id": "LoaBd-sPzkU", "content_kind": "Video", "readable_id": "perimeter-and-area-basics"}, {"translated_youtube_id": "YOYQys52sPs", "relative_url": "/video/triangle-area-proofs", "has_questions": false, "keywords": "Triangle, Area", "ka_url": "http://www.khanacademy.org/video/triangle-area-proofs", "duration": 623, "translated_title": "Triangle area proofs", "translated_description_html": "Proving that the area of any triangle is 1/2 b x h", "id": "283213902", "description_html": "Proving that the area of any triangle is 1/2 b x h", "title": "Triangle area proofs", "progress_key": "v283213902", "edit_slug": "edit/v/283213902", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving that the area of any triangle is 1/2 b x h", "extra_properties": null, "node_slug": "v/triangle-area-proofs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YOYQys52sPs.mp4/YOYQys52sPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YOYQys52sPs.mp4/YOYQys52sPs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YOYQys52sPs.m3u8/YOYQys52sPs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YOYQys52sPs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213902", "sha": "d847f25a2317513683c58dc5641a6c060376730f", "translated_description": "Proving that the area of any triangle is 1/2 b x h", "image_url": "https://img.youtube.com/vi/YOYQys52sPs/hqdefault.jpg", "youtube_id": "YOYQys52sPs", "content_kind": "Video", "readable_id": "triangle-area-proofs"}, {"translated_youtube_id": "vWXMDIazHjA", "relative_url": "/video/interesting-perimeter-and-area-problems", "has_questions": false, "keywords": "Interesting, Perimeter, and, Area, Problems", "ka_url": "http://www.khanacademy.org/video/interesting-perimeter-and-area-problems", "duration": 493, "translated_title": "Interesting perimeter and area problems", "translated_description_html": "Three example problems involving perimeter and area", "id": "283213903", "description_html": "Three example problems involving perimeter and area", "title": "Interesting perimeter and area problems", "progress_key": "v283213903", "edit_slug": "edit/v/283213903", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Three example problems involving perimeter and area", "extra_properties": null, "node_slug": "v/interesting-perimeter-and-area-problems", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.mp4/vWXMDIazHjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.mp4/vWXMDIazHjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.m3u8/vWXMDIazHjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vWXMDIazHjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213903", "sha": "1980b945cccc4a61e19c71350dd8502922601d8b", "translated_description": "Three example problems involving perimeter and area", "image_url": "https://img.youtube.com/vi/vWXMDIazHjA/hqdefault.jpg", "youtube_id": "vWXMDIazHjA", "content_kind": "Video", "readable_id": "interesting-perimeter-and-area-problems"}, {"translated_youtube_id": "YTRimTJ5nX4", "relative_url": "/video/area-of-diagonal-generated-triangles-of-rectangle-are-equal", "has_questions": false, "keywords": "Area, of, Diagonal, Generated, Triangles, Rectangle, are, Equal, CC_6_G_1", "ka_url": "http://www.khanacademy.org/video/area-of-diagonal-generated-triangles-of-rectangle-are-equal", "duration": 276, "translated_title": "Area of diagonal generated triangles of rectangle are equal", "translated_description_html": "Area of Diagonal Generated Triangles of Rectangle are Equal", "id": "2600582", "description_html": "Area of Diagonal Generated Triangles of Rectangle are Equal", "title": "Area of diagonal generated triangles of rectangle are equal", "progress_key": "v2600582", "edit_slug": "edit/v/2600582", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Area of Diagonal Generated Triangles of Rectangle are Equal", "extra_properties": null, "node_slug": "v/area-of-diagonal-generated-triangles-of-rectangle-are-equal", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YTRimTJ5nX4.mp4/YTRimTJ5nX4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YTRimTJ5nX4.mp4/YTRimTJ5nX4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YTRimTJ5nX4.m3u8/YTRimTJ5nX4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YTRimTJ5nX4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600582", "sha": "53d033d68e5f609ed496374969b9ca64d34004c0", "translated_description": "Area of Diagonal Generated Triangles of Rectangle are Equal", "image_url": "https://img.youtube.com/vi/YTRimTJ5nX4/hqdefault.jpg", "youtube_id": "YTRimTJ5nX4", "content_kind": "Video", "readable_id": "area-of-diagonal-generated-triangles-of-rectangle-are-equal"}, {"translated_youtube_id": "UKQ65tiIQ6o", "relative_url": "/video/area-of-an-equilateral-triangle", "has_questions": false, "keywords": "30-60-90, triangles, area", "ka_url": "http://www.khanacademy.org/video/area-of-an-equilateral-triangle", "duration": 222, "translated_title": "Area of an equilateral triangle", "translated_description_html": "

Finding the formula for the area of an equilateral triangle with side s<\/p>\n", "id": "294658865", "description_html": "

Finding the formula for the area of an equilateral triangle with side s<\/p>\n", "title": "Area of an equilateral triangle", "progress_key": "v294658865", "edit_slug": "edit/v/294658865", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the formula for the area of an equilateral triangle with side s\n", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-an-equilateral-triangle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-06T10:00:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.mp4/UKQ65tiIQ6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.mp4/UKQ65tiIQ6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.m3u8/UKQ65tiIQ6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UKQ65tiIQ6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v294658865", "sha": "539624839ed9233100587e7e4600db39b354d6a9", "translated_description": "Finding the formula for the area of an equilateral triangle with side s\n", "image_url": "https://img.youtube.com/vi/UKQ65tiIQ6o/hqdefault.jpg", "youtube_id": "UKQ65tiIQ6o", "content_kind": "Video", "readable_id": "area-of-an-equilateral-triangle"}, {"translated_youtube_id": "QVxqgxVtKbs", "relative_url": "/video/area-of-shaded-region-made-from-equilateral-triangles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-shaded-region-made-from-equilateral-triangles", "duration": 337, "translated_title": "Area of shaded region made from equilateral triangles", "translated_description_html": "", "id": "xd65354b0", "description_html": "", "title": "Area of shaded region made from equilateral triangles", "progress_key": "vxd65354b0", "edit_slug": "edit/v/xd65354b0", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-shaded-region-made-from-equilateral-triangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T18:17:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QVxqgxVtKbs.mp4/QVxqgxVtKbs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QVxqgxVtKbs.mp4/QVxqgxVtKbs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QVxqgxVtKbs.m3u8/QVxqgxVtKbs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QVxqgxVtKbs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd65354b0", "sha": "a33f466a83b2291654f5f022bebfaa14dcf14c6e", "translated_description": "", "image_url": "https://img.youtube.com/vi/QVxqgxVtKbs/hqdefault.jpg", "youtube_id": "QVxqgxVtKbs", "content_kind": "Video", "readable_id": "area-of-shaded-region-made-from-equilateral-triangles"}, {"translated_youtube_id": "1uWZNW5PF-s", "relative_url": "/video/challenging-perimeter-problem", "has_questions": false, "keywords": "geometry, AIME", "ka_url": "http://www.khanacademy.org/video/challenging-perimeter-problem", "duration": 596, "translated_title": "Challenging perimeter problem", "translated_description_html": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "id": "283213900", "description_html": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "title": "Challenging perimeter problem", "progress_key": "v283213900", "edit_slug": "edit/v/283213900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "extra_properties": null, "node_slug": "v/challenging-perimeter-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.mp4/1uWZNW5PF-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.mp4/1uWZNW5PF-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.m3u8/1uWZNW5PF-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1uWZNW5PF-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213900", "sha": "e62be18bd91ac6fbb5f4e9b28008ccc7de611a12", "translated_description": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "image_url": "https://img.youtube.com/vi/1uWZNW5PF-s/hqdefault.jpg", "youtube_id": "1uWZNW5PF-s", "content_kind": "Video", "readable_id": "challenging-perimeter-problem"}], "twitter_url": "", "translated_description": "You first learned about perimeter and area when you were in grade school. In this tutorial, we will revisit those ideas with a more mathy lense. We will use our prior knowledge of congruence to really start to prove some neat (and useful) results (including some that will be useful in our study of similarity).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You first learned about perimeter and area when you were in grade school. In this tutorial, we will revisit those ideas with a more mathy lense. We will use our prior knowledge of congruence to really start to prove some neat (and useful) results (including some that will be useful in our study of similarity).", "x_pos": 0.0, "node_slug": "perimeter_area_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:21:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6d532096", "topic_page_url": "/math/geometry/basic-geometry/perimeter_area_tutorial", "extended_slug": "math/geometry/basic-geometry/perimeter_area_tutorial", "slug": "perimeter_area_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4c592c67041a32f2365322172fbd36a1ac983eb1", "standalone_title": "Perimeter and area", "y_pos": 0.0, "current_revision_key": "4c592c67041a32f2365322172fbd36a1ac983eb1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/triangle_inequality_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem", "translated_standalone_title": "Triangle inequality theorem", "translated_title": "Triangle inequality theorem", "gplus_url": "", "id": "x45ea0ae3", "old_key_name": "CSzlmjjtj40UC9ecU1j4Zq5gjLY0yf7Ewu0lEA5w", "hide": false, "title": "Triangle inequality theorem", "child_data": [{"kind": "Video", "id": 1242820000}, {"kind": "Exercise", "id": 251649050}], "children": [{"translated_youtube_id": "KlKYvbigBqs", "relative_url": "/video/triangle-inqequality-theorem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/triangle-inqequality-theorem", "duration": 352, "translated_title": "Triangle inqequality theorem", "translated_description_html": "Intuition behind the triangle inequality theorem", "id": "1242820000", "description_html": "Intuition behind the triangle inequality theorem", "title": "Triangle inqequality theorem", "progress_key": "v1242820000", "edit_slug": "edit/v/1242820000", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind the triangle inequality theorem", "extra_properties": null, "node_slug": "v/triangle-inqequality-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-21T01:18:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KlKYvbigBqs.mp4/KlKYvbigBqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KlKYvbigBqs.mp4/KlKYvbigBqs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KlKYvbigBqs.m3u8/KlKYvbigBqs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KlKYvbigBqs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1242820000", "sha": "92c9359b99b42e880926968d899c79c7fdaf3440", "translated_description": "Intuition behind the triangle inequality theorem", "image_url": "https://img.youtube.com/vi/KlKYvbigBqs/hqdefault.jpg", "youtube_id": "KlKYvbigBqs", "content_kind": "Video", "readable_id": "triangle-inqequality-theorem"}], "twitter_url": "", "translated_description": "The triangle inequality theorem is, on some level, kind of simple. But, as you'll see as you go into high level mathematics, it is often used in fancy proofs.\n\nThis tutorial introduces you to what it is and gives you some practice understanding the constraints on the dimensions of a triangle.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The triangle inequality theorem is, on some level, kind of simple. But, as you'll see as you go into high level mathematics, it is often used in fancy proofs.\n\nThis tutorial introduces you to what it is and gives you some practice understanding the constraints on the dimensions of a triangle.", "x_pos": 0.0, "node_slug": "triangle_inequality_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45ea0ae3", "topic_page_url": "/math/geometry/basic-geometry/triangle_inequality_theorem", "extended_slug": "math/geometry/basic-geometry/triangle_inequality_theorem", "slug": "triangle_inequality_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8afd3751897faa1412a514fa96afadfadcec7249", "standalone_title": "Triangle inequality theorem", "y_pos": 0.0, "current_revision_key": "8afd3751897faa1412a514fa96afadfadcec7249", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/koch_snowflake", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake", "translated_standalone_title": "Koch snowflake fractal", "translated_title": "Koch snowflake fractal", "gplus_url": "", "id": "x3e8b1476", "old_key_name": "X9aFbidI5RntJGruNczNI036fc07yuakN5Ft0czx", "hide": false, "title": "Koch snowflake fractal", "child_data": [{"kind": "Video", "id": 283213904}, {"kind": "Video", "id": 294658865}, {"kind": "Video", "id": 294677477}, {"kind": "Video", "id": 294676175}], "children": [{"translated_youtube_id": "azBNsPa1WC4", "relative_url": "/video/koch-snowflake-fractal", "has_questions": false, "keywords": "fractal, geometry, marquee", "ka_url": "http://www.khanacademy.org/video/koch-snowflake-fractal", "duration": 551, "translated_title": "Koch snowflake fractal", "translated_description_html": "A shape that has an infinite perimeter but finite area", "id": "283213904", "description_html": "A shape that has an infinite perimeter but finite area", "title": "Koch snowflake fractal", "progress_key": "v283213904", "edit_slug": "edit/v/283213904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A shape that has an infinite perimeter but finite area", "extra_properties": null, "node_slug": "v/koch-snowflake-fractal", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/azBNsPa1WC4.mp4/azBNsPa1WC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/azBNsPa1WC4.mp4/azBNsPa1WC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/azBNsPa1WC4.m3u8/azBNsPa1WC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=azBNsPa1WC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213904", "sha": "d6d0eaf71856dcbb1d0d255db019b965aa9a130f", "translated_description": "A shape that has an infinite perimeter but finite area", "image_url": "https://img.youtube.com/vi/azBNsPa1WC4/hqdefault.jpg", "youtube_id": "azBNsPa1WC4", "content_kind": "Video", "readable_id": "koch-snowflake-fractal"}, {"translated_youtube_id": "UKQ65tiIQ6o", "relative_url": "/video/area-of-an-equilateral-triangle", "has_questions": false, "keywords": "30-60-90, triangles, area", "ka_url": "http://www.khanacademy.org/video/area-of-an-equilateral-triangle", "duration": 222, "translated_title": "Area of an equilateral triangle", "translated_description_html": "

Finding the formula for the area of an equilateral triangle with side s<\/p>\n", "id": "294658865", "description_html": "

Finding the formula for the area of an equilateral triangle with side s<\/p>\n", "title": "Area of an equilateral triangle", "progress_key": "v294658865", "edit_slug": "edit/v/294658865", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the formula for the area of an equilateral triangle with side s\n", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-an-equilateral-triangle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-06T10:00:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.mp4/UKQ65tiIQ6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.mp4/UKQ65tiIQ6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UKQ65tiIQ6o.m3u8/UKQ65tiIQ6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UKQ65tiIQ6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v294658865", "sha": "539624839ed9233100587e7e4600db39b354d6a9", "translated_description": "Finding the formula for the area of an equilateral triangle with side s\n", "image_url": "https://img.youtube.com/vi/UKQ65tiIQ6o/hqdefault.jpg", "youtube_id": "UKQ65tiIQ6o", "content_kind": "Video", "readable_id": "area-of-an-equilateral-triangle"}, {"translated_youtube_id": "64bH_27Ehoc", "relative_url": "/video/area-of-koch-snowflake--part-1----advanced", "has_questions": false, "keywords": "geometric, series", "ka_url": "http://www.khanacademy.org/video/area-of-koch-snowflake--part-1----advanced", "duration": 750, "translated_title": "Area of Koch snowflake (part 1) - advanced", "translated_description_html": "Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)", "id": "294677477", "description_html": "Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)", "title": "Area of Koch snowflake (part 1) - advanced", "progress_key": "v294677477", "edit_slug": "edit/v/294677477", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)", "extra_properties": null, "node_slug": "v/area-of-koch-snowflake--part-1----advanced", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-06T10:00:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/64bH_27Ehoc.mp4/64bH_27Ehoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/64bH_27Ehoc.mp4/64bH_27Ehoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/64bH_27Ehoc.m3u8/64bH_27Ehoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=64bH_27Ehoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v294677477", "sha": "82926e2f491da3ff094e384c1378405b6815a289", "translated_description": "Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)", "image_url": "https://img.youtube.com/vi/64bH_27Ehoc/hqdefault.jpg", "youtube_id": "64bH_27Ehoc", "content_kind": "Video", "readable_id": "area-of-koch-snowflake--part-1----advanced"}, {"translated_youtube_id": "vBlR2xNAGmo", "relative_url": "/video/area-of-koch-snowflake--part-2----advanced", "has_questions": false, "keywords": "area, infinite, sum, sequence", "ka_url": "http://www.khanacademy.org/video/area-of-koch-snowflake--part-2----advanced", "duration": 392, "translated_title": "Area of Koch snowflake (part 2) - advanced", "translated_description_html": "Summing an infinite geometric series to finally find the finite area of a Koch Snowflake", "id": "294676175", "description_html": "Summing an infinite geometric series to finally find the finite area of a Koch Snowflake", "title": "Area of Koch snowflake (part 2) - advanced", "progress_key": "v294676175", "edit_slug": "edit/v/294676175", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Summing an infinite geometric series to finally find the finite area of a Koch Snowflake", "extra_properties": null, "node_slug": "v/area-of-koch-snowflake--part-2----advanced", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-06T10:00:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vBlR2xNAGmo.mp4/vBlR2xNAGmo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vBlR2xNAGmo.mp4/vBlR2xNAGmo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vBlR2xNAGmo.m3u8/vBlR2xNAGmo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vBlR2xNAGmo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v294676175", "sha": "00f02c6f17f134c11f1ae0e7ec4d50b170ddec78", "translated_description": "Summing an infinite geometric series to finally find the finite area of a Koch Snowflake", "image_url": "https://img.youtube.com/vi/vBlR2xNAGmo/hqdefault.jpg", "youtube_id": "vBlR2xNAGmo", "content_kind": "Video", "readable_id": "area-of-koch-snowflake--part-2----advanced"}], "twitter_url": "", "translated_description": "Named after Helge von Koch, the Koch snowflake is one of the first fractals to be discovered. It is created by adding smaller and smaller equilateral bumps to an existing equilateral triangle. Quite amazingly, it produces a figure of infinite perimeter and finite area!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Named after Helge von Koch, the Koch snowflake is one of the first fractals to be discovered. It is created by adding smaller and smaller equilateral bumps to an existing equilateral triangle. Quite amazingly, it produces a figure of infinite perimeter and finite area!", "x_pos": 0.0, "node_slug": "koch_snowflake", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e8b1476", "topic_page_url": "/math/geometry/basic-geometry/koch_snowflake", "extended_slug": "math/geometry/basic-geometry/koch_snowflake", "slug": "koch_snowflake", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "20fc9d41b9e1e91676afca5f38b0dd57a4ff2c6a", "standalone_title": "Koch snowflake fractal", "y_pos": 0.0, "current_revision_key": "20fc9d41b9e1e91676afca5f38b0dd57a4ff2c6a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/heron_formula_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial", "translated_standalone_title": "Heron's formula", "translated_title": "Heron's formula", "gplus_url": "", "id": "xaea89b2c", "old_key_name": "HLElAoKrH2-Y-Ca8PqRmUG4zc-NWFSjkNEKZ2fe6", "hide": false, "title": "Heron's formula", "child_data": [{"kind": "Video", "id": 24971}, {"kind": "Exercise", "id": 251614457}, {"kind": "Video", "id": 24973}, {"kind": "Video", "id": 24975}], "children": [{"translated_youtube_id": "-YI6UC4qVEY", "relative_url": "/video/heron-s-formula", "has_questions": false, "keywords": "heron's, formula, geometry, area, triangle", "ka_url": "http://www.khanacademy.org/video/heron-s-formula", "duration": 283, "translated_title": "Heron's formula", "translated_description_html": "Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides", "id": "24971", "description_html": "Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides", "title": "Heron's formula", "progress_key": "v24971", "edit_slug": "edit/v/24971", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides", "extra_properties": null, "node_slug": "v/heron-s-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-YI6UC4qVEY.mp4/-YI6UC4qVEY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-YI6UC4qVEY.mp4/-YI6UC4qVEY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-YI6UC4qVEY.m3u8/-YI6UC4qVEY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-YI6UC4qVEY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24971", "sha": "c1f7622c08236bd6ce6619e79116632e3f3cb2cb", "translated_description": "Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides", "image_url": "https://img.youtube.com/vi/-YI6UC4qVEY/hqdefault.jpg", "youtube_id": "-YI6UC4qVEY", "content_kind": "Video", "readable_id": "heron-s-formula"}, {"translated_youtube_id": "AreOMvPCxv8", "relative_url": "/video/part-1-of-proof-of-heron-s-formula", "has_questions": false, "keywords": "heron's, proof, geometry, area", "ka_url": "http://www.khanacademy.org/video/part-1-of-proof-of-heron-s-formula", "duration": 659, "translated_title": "Part 1 of proof of Heron's formula", "translated_description_html": "Part 1 of the proof of Heron's Formula", "id": "24973", "description_html": "Part 1 of the proof of Heron's Formula", "title": "Part 1 of proof of Heron's formula", "progress_key": "v24973", "edit_slug": "edit/v/24973", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1 of the proof of Heron's Formula", "extra_properties": null, "node_slug": "v/part-1-of-proof-of-heron-s-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AreOMvPCxv8.mp4/AreOMvPCxv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AreOMvPCxv8.mp4/AreOMvPCxv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AreOMvPCxv8.m3u8/AreOMvPCxv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AreOMvPCxv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24973", "sha": "d1a00abe24ea7c0456f85bbb6343a5ec8a0f8846", "translated_description": "Part 1 of the proof of Heron's Formula", "image_url": "https://img.youtube.com/vi/AreOMvPCxv8/hqdefault.jpg", "youtube_id": "AreOMvPCxv8", "content_kind": "Video", "readable_id": "part-1-of-proof-of-heron-s-formula"}, {"translated_youtube_id": "nZu7IZLhJRI", "relative_url": "/video/part-2-of-the-proof-of-heron-s-formula", "has_questions": false, "keywords": "Heron's, Formula, geometry, triangle, area", "ka_url": "http://www.khanacademy.org/video/part-2-of-the-proof-of-heron-s-formula", "duration": 728, "translated_title": "Part 2 of proof of Heron's formula", "translated_description_html": "Showing that the expression in part 1 is identical to Heron's Formula", "id": "24975", "description_html": "Showing that the expression in part 1 is identical to Heron's Formula", "title": "Part 2 of proof of Heron's formula", "progress_key": "v24975", "edit_slug": "edit/v/24975", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the expression in part 1 is identical to Heron's Formula", "extra_properties": null, "node_slug": "v/part-2-of-the-proof-of-heron-s-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nZu7IZLhJRI.mp4/nZu7IZLhJRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nZu7IZLhJRI.mp4/nZu7IZLhJRI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nZu7IZLhJRI.m3u8/nZu7IZLhJRI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nZu7IZLhJRI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24975", "sha": "ed0eb642b8ec179af5b6d63e4e77b9fe70db3041", "translated_description": "Showing that the expression in part 1 is identical to Heron's Formula", "image_url": "https://img.youtube.com/vi/nZu7IZLhJRI/hqdefault.jpg", "youtube_id": "nZu7IZLhJRI", "content_kind": "Video", "readable_id": "part-2-of-the-proof-of-heron-s-formula"}], "twitter_url": "", "translated_description": "Named after Heron of Alexandria, Heron's formula is a power (but often overlooked) method for finding the area of ANY triangle. In this tutorial we will explain how to use it and then prove it!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Named after Heron of Alexandria, Heron's formula is a power (but often overlooked) method for finding the area of ANY triangle. In this tutorial we will explain how to use it and then prove it!", "x_pos": 0.0, "node_slug": "heron_formula_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaea89b2c", "topic_page_url": "/math/geometry/basic-geometry/heron_formula_tutorial", "extended_slug": "math/geometry/basic-geometry/heron_formula_tutorial", "slug": "heron_formula_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "38b3e33d39085dcdecbadbf893ac900097309528", "standalone_title": "Heron's formula", "y_pos": 0.0, "current_revision_key": "38b3e33d39085dcdecbadbf893ac900097309528", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/circum_area_circles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles", "translated_standalone_title": "Circumference and area of circles", "translated_title": "Circumference and area of circles", "gplus_url": "", "id": "x9c7e637c", "old_key_name": "vwS5D8p33GO21DoWWrWfkPfTw8F7dJA7gD0nxwcJ", "hide": false, "title": "Circumference and area of circles", "child_data": [{"kind": "Video", "id": 24957}, {"kind": "Video", "id": 370305280}, {"kind": "Exercise", "id": 720782619}, {"kind": "Video", "id": 370305273}, {"kind": "Exercise", "id": 720935156}], "children": [{"translated_youtube_id": "jyLRpr2P0MQ", "relative_url": "/video/circles--radius--diameter-and-circumference", "has_questions": false, "keywords": "radius, diameter, circumference, circle, CC_7_G_4", "ka_url": "http://www.khanacademy.org/video/circles--radius--diameter-and-circumference", "duration": 665, "translated_title": "Circles: Radius, diameter, and circumference", "translated_description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "id": "24957", "description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "title": "Circles: Radius, diameter, and circumference", "progress_key": "v24957", "edit_slug": "edit/v/24957", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the relationship between the radius diameter and circumference of a circle.", "extra_properties": {}, "node_slug": "v/circles--radius--diameter-and-circumference", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.m3u8/jyLRpr2P0MQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jyLRpr2P0MQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24957", "sha": "ae5b5cc1def38cda499a948f0dbabddb63446323", "translated_description": "Understanding the relationship between the radius diameter and circumference of a circle.", "image_url": "https://img.youtube.com/vi/jyLRpr2P0MQ/hqdefault.jpg", "youtube_id": "jyLRpr2P0MQ", "content_kind": "Video", "readable_id": "circles--radius--diameter-and-circumference"}, {"translated_youtube_id": "04N79tItPEA", "relative_url": "/video/parts-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we1, Parts, of, Circle", "ka_url": "http://www.khanacademy.org/video/parts-of-a-circle", "duration": 121, "translated_title": "Parts of a circle", "translated_description_html": "Parts of a Circle", "id": "370305280", "description_html": "Parts of a Circle", "title": "Parts of a circle", "progress_key": "v370305280", "edit_slug": "edit/v/370305280", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts of a Circle", "extra_properties": null, "node_slug": "v/parts-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.m3u8/04N79tItPEA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=04N79tItPEA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305280", "sha": "4824b218d2058c96f987c67dca2af003eff697b7", "translated_description": "Parts of a Circle", "image_url": "https://img.youtube.com/vi/04N79tItPEA/hqdefault.jpg", "youtube_id": "04N79tItPEA", "content_kind": "Video", "readable_id": "parts-of-a-circle"}, {"translated_youtube_id": "ZyOhRgnFmIY", "relative_url": "/video/area-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we3, Area, of, Circle", "ka_url": "http://www.khanacademy.org/video/area-of-a-circle", "duration": 242, "translated_title": "Area of a circle", "translated_description_html": "Area of a Circle", "id": "370305273", "description_html": "Area of a Circle", "title": "Area of a circle", "progress_key": "v370305273", "edit_slug": "edit/v/370305273", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Area of a Circle", "extra_properties": null, "node_slug": "v/area-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.m3u8/ZyOhRgnFmIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyOhRgnFmIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305273", "sha": "76509369d90327f0c0d036c2732c4f651aa8baaf", "translated_description": "Area of a Circle", "image_url": "https://img.youtube.com/vi/ZyOhRgnFmIY/hqdefault.jpg", "youtube_id": "ZyOhRgnFmIY", "content_kind": "Video", "readable_id": "area-of-a-circle"}], "twitter_url": "", "translated_description": "Circles are everywhere. How can we measure how big they are? Well, we could think about the distance around the circle (circumference). Another option would be to think about how much space it takes up on our paper (area). Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Circles are everywhere. How can we measure how big they are? Well, we could think about the distance around the circle (circumference). Another option would be to think about how much space it takes up on our paper (area). Have fun!", "x_pos": 0.0, "node_slug": "circum_area_circles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9c7e637c", "topic_page_url": "/math/geometry/basic-geometry/circum_area_circles", "extended_slug": "math/geometry/basic-geometry/circum_area_circles", "slug": "circum_area_circles", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e49950284ff56d67dbb307acde2730d70a4de28c", "standalone_title": "Circumference and area of circles", "y_pos": 0.0, "current_revision_key": "e49950284ff56d67dbb307acde2730d70a4de28c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/area_non_standard", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard", "translated_standalone_title": "Perimeter and area of non-standard shapes", "translated_title": "Perimeter and area of non-standard shapes", "gplus_url": "", "id": "x8fc0f183", "old_key_name": "LGjiBjtg8CUHsaB20WPkUjxcmlaZXKRXQMT42Czd", "hide": false, "title": "Perimeter and area of non-standard shapes", "child_data": [{"kind": "Video", "id": 339557900}, {"kind": "Video", "id": 370305272}, {"kind": "Video", "id": 351468823}, {"kind": "Exercise", "id": 898971113}, {"kind": "Video", "id": "x9eb86ee6"}, {"kind": "Video", "id": "xae34441c"}, {"kind": "Exercise", "id": 899013436}, {"kind": "Video", "id": 372448788}, {"kind": "Video", "id": 372432668}, {"kind": "Exercise", "id": "xfb0c1229"}], "children": [{"translated_youtube_id": "Ka82QC4QvGA", "relative_url": "/video/quadrilateral-overview", "has_questions": false, "keywords": "rhombus", "ka_url": "http://www.khanacademy.org/video/quadrilateral-overview", "duration": 504, "translated_title": "Quadrilateral overview", "translated_description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "id": "339557900", "description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "title": "Quadrilateral overview", "progress_key": "v339557900", "edit_slug": "edit/v/339557900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "extra_properties": null, "node_slug": "v/quadrilateral-overview", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-27T10:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.m3u8/Ka82QC4QvGA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ka82QC4QvGA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v339557900", "sha": "c9e4582384cde52e5baeec7aff1f186ffd70d735", "translated_description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "image_url": "https://img.youtube.com/vi/Ka82QC4QvGA/hqdefault.jpg", "youtube_id": "Ka82QC4QvGA", "content_kind": "Video", "readable_id": "quadrilateral-overview"}, {"translated_youtube_id": "5CeBlu260Rw", "relative_url": "/video/quadrilateral-properties", "has_questions": false, "keywords": "u07_l2_t1_we1, Quadrilateral, Properties", "ka_url": "http://www.khanacademy.org/video/quadrilateral-properties", "duration": 307, "translated_title": "Quadrilateral properties", "translated_description_html": "Quadrilateral Properties", "id": "370305272", "description_html": "Quadrilateral Properties", "title": "Quadrilateral properties", "progress_key": "v370305272", "edit_slug": "edit/v/370305272", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrilateral Properties", "extra_properties": null, "node_slug": "v/quadrilateral-properties", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.m3u8/5CeBlu260Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5CeBlu260Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305272", "sha": "e88657ada96a433ea5639887927342e91d0819ea", "translated_description": "Quadrilateral Properties", "image_url": "https://img.youtube.com/vi/5CeBlu260Rw/hqdefault.jpg", "youtube_id": "5CeBlu260Rw", "content_kind": "Video", "readable_id": "quadrilateral-properties"}, {"translated_youtube_id": "tFhBAeZVTMw", "relative_url": "/video/area-of-a-parallelogram", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/area-of-a-parallelogram", "duration": 342, "translated_title": "Area of a parallelogram", "translated_description_html": "Showing that the area of a parallelogram is base times height", "id": "351468823", "description_html": "Showing that the area of a parallelogram is base times height", "title": "Area of a parallelogram", "progress_key": "v351468823", "edit_slug": "edit/v/351468823", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the area of a parallelogram is base times height", "extra_properties": null, "node_slug": "v/area-of-a-parallelogram", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-02T10:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.m3u8/tFhBAeZVTMw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tFhBAeZVTMw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351468823", "sha": "dfedfb879e6ebd91fce999e93ff954ce16bf57c8", "translated_description": "Showing that the area of a parallelogram is base times height", "image_url": "https://img.youtube.com/vi/tFhBAeZVTMw/hqdefault.jpg", "youtube_id": "tFhBAeZVTMw", "content_kind": "Video", "readable_id": "area-of-a-parallelogram"}, {"translated_youtube_id": "j3-XYLnxJDY", "relative_url": "/video/area-of-a-trapezoid-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-a-trapezoid-1", "duration": 288, "translated_title": "Area of a trapezoid", "translated_description_html": "", "id": "x9eb86ee6", "description_html": "", "title": "Area of a trapezoid", "progress_key": "vx9eb86ee6", "edit_slug": "edit/v/x9eb86ee6", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-a-trapezoid-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-14T19:23:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.mp4/j3-XYLnxJDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.mp4/j3-XYLnxJDY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j3-XYLnxJDY.m3u8/j3-XYLnxJDY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j3-XYLnxJDY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9eb86ee6", "sha": "4ee4d507a8afe828e81224a97cac58d04136d817", "translated_description": "", "image_url": "https://img.youtube.com/vi/j3-XYLnxJDY/hqdefault.jpg", "youtube_id": "j3-XYLnxJDY", "content_kind": "Video", "readable_id": "area-of-a-trapezoid-1"}, {"translated_youtube_id": "b8q6i_XPyhk", "relative_url": "/video/area-of-a-kite", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-a-kite", "duration": 229, "translated_title": "Area of a kite", "translated_description_html": "", "id": "xae34441c", "description_html": "", "title": "Area of a kite", "progress_key": "vxae34441c", "edit_slug": "edit/v/xae34441c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-a-kite", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T19:23:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.mp4/b8q6i_XPyhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.mp4/b8q6i_XPyhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b8q6i_XPyhk.m3u8/b8q6i_XPyhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b8q6i_XPyhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxae34441c", "sha": "d57333fe642552fb766a3c31b6eccc9b30186824", "translated_description": "", "image_url": "https://img.youtube.com/vi/b8q6i_XPyhk/hqdefault.jpg", "youtube_id": "b8q6i_XPyhk", "content_kind": "Video", "readable_id": "area-of-a-kite"}, {"translated_youtube_id": "5ZCKr4wTQvI", "relative_url": "/video/perimeter-of-a-polygon", "has_questions": false, "keywords": "u07_l2_t2_we1, Perimeter, of, Polygon", "ka_url": "http://www.khanacademy.org/video/perimeter-of-a-polygon", "duration": 80, "translated_title": "Perimeter of a parallelogram", "translated_description_html": "


<\/p>", "id": "372448788", "description_html": "


<\/p>", "title": "Perimeter of a parallelogram", "progress_key": "v372448788", "edit_slug": "edit/v/372448788", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/perimeter-of-a-polygon", "deleted": false, "backup_timestamp": "2013-09-30T18:25:08Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZCKr4wTQvI.mp4/5ZCKr4wTQvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZCKr4wTQvI.mp4/5ZCKr4wTQvI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ZCKr4wTQvI.m3u8/5ZCKr4wTQvI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ZCKr4wTQvI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372448788", "sha": "134e7898681ae633d3dd46c17bbf052190ff4493", "translated_description": "", "image_url": "https://img.youtube.com/vi/5ZCKr4wTQvI/hqdefault.jpg", "youtube_id": "5ZCKr4wTQvI", "content_kind": "Video", "readable_id": "perimeter-of-a-polygon"}, {"translated_youtube_id": "7S1MLJOG-5A", "relative_url": "/video/perimeter-and-area-of-a-non-standard-polygon", "has_questions": false, "keywords": "u07_l2_t2_we3, Perimeter, and, Area, of, Non-Standard, Polygon", "ka_url": "http://www.khanacademy.org/video/perimeter-and-area-of-a-non-standard-polygon", "duration": 183, "translated_title": "Perimeter and area of a non-standard polygon", "translated_description_html": "Perimeter and Area of a Non-Standard Polygon", "id": "372432668", "description_html": "Perimeter and Area of a Non-Standard Polygon", "title": "Perimeter and area of a non-standard polygon", "progress_key": "v372432668", "edit_slug": "edit/v/372432668", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perimeter and Area of a Non-Standard Polygon", "extra_properties": null, "node_slug": "v/perimeter-and-area-of-a-non-standard-polygon", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7S1MLJOG-5A.mp4/7S1MLJOG-5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7S1MLJOG-5A.mp4/7S1MLJOG-5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7S1MLJOG-5A.m3u8/7S1MLJOG-5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7S1MLJOG-5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432668", "sha": "6fa42cf58da07336e92b3dfd3bd07c681e4779d8", "translated_description": "Perimeter and Area of a Non-Standard Polygon", "image_url": "https://img.youtube.com/vi/7S1MLJOG-5A/hqdefault.jpg", "youtube_id": "7S1MLJOG-5A", "content_kind": "Video", "readable_id": "perimeter-and-area-of-a-non-standard-polygon"}], "twitter_url": "", "translated_description": "Not everything in the world is a rectangle, circle or triangle. In this tutorial, we give you practice at finding the perimeters and areas of these less-than-standard shapes!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Not everything in the world is a rectangle, circle or triangle. In this tutorial, we give you practice at finding the perimeters and areas of these less-than-standard shapes!", "x_pos": 0.0, "node_slug": "area_non_standard", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T19:26:38Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8fc0f183", "topic_page_url": "/math/geometry/basic-geometry/area_non_standard", "extended_slug": "math/geometry/basic-geometry/area_non_standard", "slug": "area_non_standard", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4f7a1e60093226ea80b8acddb411d1f34369a9e9", "standalone_title": "Perimeter and area of non-standard shapes", "y_pos": 0.0, "current_revision_key": "4f7a1e60093226ea80b8acddb411d1f34369a9e9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/basic-geometry/volume_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial", "translated_standalone_title": "Volume", "translated_title": "Volume and surface area", "gplus_url": "", "id": "x80bb3b66", "old_key_name": "gyTyCEWbtI3mCcCltNvmUZrE339tQfPFB5MHuxJa", "hide": false, "title": "Volume and surface area", "child_data": [{"kind": "Video", "id": 60129394}, {"kind": "Video", "id": 60129395}, {"kind": "Video", "id": 372432663}, {"kind": "Exercise", "id": 47840766}], "children": [{"translated_youtube_id": "ZqzAOZ9pP9Q", "relative_url": "/video/solid-geometry-volume", "has_questions": false, "keywords": "volume, geometry, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_a, CC_5_MD_5_b, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/solid-geometry-volume", "duration": 236, "translated_title": "Solid geometry volume", "translated_description_html": "Volume of triangular prisms and cubes", "id": "60129394", "description_html": "Volume of triangular prisms and cubes", "title": "Solid geometry volume", "progress_key": "v60129394", "edit_slug": "edit/v/60129394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of triangular prisms and cubes", "extra_properties": null, "node_slug": "v/solid-geometry-volume", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.mp4/ZqzAOZ9pP9Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZqzAOZ9pP9Q.m3u8/ZqzAOZ9pP9Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZqzAOZ9pP9Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129394", "sha": "63a4961f47ff374655de6b3022a398c9ccc2968e", "translated_description": "Volume of triangular prisms and cubes", "image_url": "https://img.youtube.com/vi/ZqzAOZ9pP9Q/hqdefault.jpg", "youtube_id": "ZqzAOZ9pP9Q", "content_kind": "Video", "readable_id": "solid-geometry-volume"}, {"translated_youtube_id": "gL3HxBQyeg0", "relative_url": "/video/cylinder-volume-and-surface-area", "has_questions": false, "keywords": "cylinder, volume, surface, area, CC_8_G_9", "ka_url": "http://www.khanacademy.org/video/cylinder-volume-and-surface-area", "duration": 487, "translated_title": "Cylinder volume and surface area", "translated_description_html": "Finding the volume and surface area of a cylinder", "id": "60129395", "description_html": "Finding the volume and surface area of a cylinder", "title": "Cylinder volume and surface area", "progress_key": "v60129395", "edit_slug": "edit/v/60129395", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the volume and surface area of a cylinder", "extra_properties": null, "node_slug": "v/cylinder-volume-and-surface-area", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.m3u8/gL3HxBQyeg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gL3HxBQyeg0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60129395", "sha": "ad913aa24c157347dcf7c157f7e0485d4fb39000", "translated_description": "Finding the volume and surface area of a cylinder", "image_url": "https://img.youtube.com/vi/gL3HxBQyeg0/hqdefault.jpg", "youtube_id": "gL3HxBQyeg0", "content_kind": "Video", "readable_id": "cylinder-volume-and-surface-area"}, {"translated_youtube_id": "IelS2vg7JO8", "relative_url": "/video/volume-of-a-sphere", "has_questions": false, "keywords": "u07_l3_t1_we2, Volume, of, Sphere", "ka_url": "http://www.khanacademy.org/video/volume-of-a-sphere", "duration": 155, "translated_title": "Volume of a sphere", "translated_description_html": "Volume of a Sphere", "id": "372432663", "description_html": "Volume of a Sphere", "title": "Volume of a sphere", "progress_key": "v372432663", "edit_slug": "edit/v/372432663", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of a Sphere", "extra_properties": null, "node_slug": "v/volume-of-a-sphere", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-11T11:00:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.mp4/IelS2vg7JO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.mp4/IelS2vg7JO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IelS2vg7JO8.m3u8/IelS2vg7JO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IelS2vg7JO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v372432663", "sha": "5040614ec371f41df2980abfc9bd26215343c602", "translated_description": "Volume of a Sphere", "image_url": "https://img.youtube.com/vi/IelS2vg7JO8/hqdefault.jpg", "youtube_id": "IelS2vg7JO8", "content_kind": "Video", "readable_id": "volume-of-a-sphere"}], "twitter_url": "", "translated_description": "Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!", "x_pos": 0.0, "node_slug": "volume_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T23:28:28Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax80bb3b66", "topic_page_url": "/math/geometry/basic-geometry/volume_tutorial", "extended_slug": "math/geometry/basic-geometry/volume_tutorial", "slug": "volume_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3b5d6b015055a2cff5d5baa84d1b392124f2dac8", "standalone_title": "Volume", "y_pos": 0.0, "current_revision_key": "3b5d6b015055a2cff5d5baa84d1b392124f2dac8", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "A broad set of tutorials covering perimeter area and volume with and without algebra.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "A broad set of tutorials covering perimeter area and volume with and without algebra.", "x_pos": -17.5, "node_slug": "basic-geometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T01:22:43Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax733a047e", "topic_page_url": "/math/geometry/basic-geometry", "extended_slug": "math/geometry/basic-geometry", "slug": "basic-geometry", "tags": ["area", "perimeter", "volume", "circumference"], "kind": "Topic", "in_topic_browser": false, "sha": "51aa8e3e10ee876bc934cbff409af0fc54f2497c", "standalone_title": "Perimeter, area and volume", "y_pos": 19.5, "current_revision_key": "51aa8e3e10ee876bc934cbff409af0fc54f2497c", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/similarity-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/similarity", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/similarity", "translated_standalone_title": "Similarity", "translated_title": "Similarity", "gplus_url": "", "id": "x3941da99", "old_key_name": "duLZoDIgppI8sWSZRcx8wKtHULQqfn5LgUEywejp", "hide": false, "title": "Similarity", "child_data": [{"kind": "Topic", "id": "x18c52c4a"}, {"kind": "Topic", "id": "x7135df58"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/similarity/triangle_similarlity", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/similarity/triangle_similarlity", "translated_standalone_title": "Triangle similarity", "translated_title": "Triangle similarity", "gplus_url": "", "id": "x18c52c4a", "old_key_name": "okgjbV3GRDmoBnfV4tAQj6NFg2fSYi9jPwAT0H-Y", "hide": false, "title": "Triangle similarity", "child_data": [{"kind": "Video", "id": 284859451}, {"kind": "Video", "id": 284859449}, {"kind": "Exercise", "id": 251603956}, {"kind": "Video", "id": 289578994}, {"kind": "Exercise", "id": 574955549}, {"kind": "Video", "id": 284859450}, {"kind": "Exercise", "id": 575147721}, {"kind": "Video", "id": 289578995}, {"kind": "Exercise", "id": 729523853}, {"kind": "Video", "id": 289578996}, {"kind": "Video", "id": 290279019}], "children": [{"translated_youtube_id": "9ThXDY9Y3oU", "relative_url": "/video/similar-triangle-basics", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/similar-triangle-basics", "duration": 557, "translated_title": "Similar triangle basics", "translated_description_html": "Introduction to what it means for triangles to be similar", "id": "284859451", "description_html": "Introduction to what it means for triangles to be similar", "title": "Similar triangle basics", "progress_key": "v284859451", "edit_slug": "edit/v/284859451", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to what it means for triangles to be similar", "extra_properties": null, "node_slug": "v/similar-triangle-basics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-02T10:00:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9ThXDY9Y3oU.mp4/9ThXDY9Y3oU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9ThXDY9Y3oU.mp4/9ThXDY9Y3oU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9ThXDY9Y3oU.m3u8/9ThXDY9Y3oU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9ThXDY9Y3oU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284859451", "sha": "efbff792dac8dd99a8efc9940c1ab84b85f7bb03", "translated_description": "Introduction to what it means for triangles to be similar", "image_url": "https://img.youtube.com/vi/9ThXDY9Y3oU/hqdefault.jpg", "youtube_id": "9ThXDY9Y3oU", "content_kind": "Video", "readable_id": "similar-triangle-basics"}, {"translated_youtube_id": "7bO0TmJ6Ba4", "relative_url": "/video/similarity-postulates", "has_questions": false, "keywords": "Similarity, Postulates", "ka_url": "http://www.khanacademy.org/video/similarity-postulates", "duration": 734, "translated_title": "Similarity postulates", "translated_description_html": "Thinking about what we need to know whether two triangles are similar", "id": "284859449", "description_html": "Thinking about what we need to know whether two triangles are similar", "title": "Similarity postulates", "progress_key": "v284859449", "edit_slug": "edit/v/284859449", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about what we need to know whether two triangles are similar", "extra_properties": null, "node_slug": "v/similarity-postulates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-02T10:00:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7bO0TmJ6Ba4.mp4/7bO0TmJ6Ba4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7bO0TmJ6Ba4.mp4/7bO0TmJ6Ba4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7bO0TmJ6Ba4.m3u8/7bO0TmJ6Ba4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7bO0TmJ6Ba4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284859449", "sha": "a2c1d1d563369d6009b5f42cb39232feb2c40103", "translated_description": "Thinking about what we need to know whether two triangles are similar", "image_url": "https://img.youtube.com/vi/7bO0TmJ6Ba4/hqdefault.jpg", "youtube_id": "7bO0TmJ6Ba4", "content_kind": "Video", "readable_id": "similarity-postulates"}, {"translated_youtube_id": "Ly86lwq_2gc", "relative_url": "/video/similar-triangle-example-problems", "has_questions": false, "keywords": "similarity, congruence", "ka_url": "http://www.khanacademy.org/video/similar-triangle-example-problems", "duration": 563, "translated_title": "Similar triangle example problems", "translated_description_html": "Multiple examples looking for similarity of triangles", "id": "289578994", "description_html": "Multiple examples looking for similarity of triangles", "title": "Similar triangle example problems", "progress_key": "v289578994", "edit_slug": "edit/v/289578994", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiple examples looking for similarity of triangles", "extra_properties": null, "node_slug": "v/similar-triangle-example-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-04T10:00:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ly86lwq_2gc.mp4/Ly86lwq_2gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ly86lwq_2gc.mp4/Ly86lwq_2gc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ly86lwq_2gc.m3u8/Ly86lwq_2gc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ly86lwq_2gc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289578994", "sha": "5dbe692647f5a2862417b4b3a3bb042ca3fa5466", "translated_description": "Multiple examples looking for similarity of triangles", "image_url": "https://img.youtube.com/vi/Ly86lwq_2gc/hqdefault.jpg", "youtube_id": "Ly86lwq_2gc", "content_kind": "Video", "readable_id": "similar-triangle-example-problems"}, {"translated_youtube_id": "R-6CAr_zEEk", "relative_url": "/video/similarity-example-problems", "has_questions": false, "keywords": "Similarity, Example, Problems", "ka_url": "http://www.khanacademy.org/video/similarity-example-problems", "duration": 457, "translated_title": "Similarity example problems", "translated_description_html": "Two example problems involving similarity", "id": "284859450", "description_html": "Two example problems involving similarity", "title": "Similarity example problems", "progress_key": "v284859450", "edit_slug": "edit/v/284859450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Two example problems involving similarity", "extra_properties": null, "node_slug": "v/similarity-example-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-02T10:00:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-6CAr_zEEk.mp4/R-6CAr_zEEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-6CAr_zEEk.mp4/R-6CAr_zEEk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R-6CAr_zEEk.m3u8/R-6CAr_zEEk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R-6CAr_zEEk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284859450", "sha": "243ed30344029530125363bf4d8b94e2703fb69a", "translated_description": "Two example problems involving similarity", "image_url": "https://img.youtube.com/vi/R-6CAr_zEEk/hqdefault.jpg", "youtube_id": "R-6CAr_zEEk", "content_kind": "Video", "readable_id": "similarity-example-problems"}, {"translated_youtube_id": "Tal_fgREll0", "relative_url": "/video/similarity-example-where-same-side-plays-different-roles", "has_questions": false, "keywords": "geometry, similarity", "ka_url": "http://www.khanacademy.org/video/similarity-example-where-same-side-plays-different-roles", "duration": 365, "translated_title": "Similarity example where same side plays different roles", "translated_description_html": "The same side not corresponding to itself in two similar triangles", "id": "289578995", "description_html": "The same side not corresponding to itself in two similar triangles", "title": "Similarity example where same side plays different roles", "progress_key": "v289578995", "edit_slug": "edit/v/289578995", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The same side not corresponding to itself in two similar triangles", "extra_properties": null, "node_slug": "v/similarity-example-where-same-side-plays-different-roles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T10:00:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tal_fgREll0.mp4/Tal_fgREll0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tal_fgREll0.mp4/Tal_fgREll0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tal_fgREll0.m3u8/Tal_fgREll0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tal_fgREll0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289578995", "sha": "62f007a28879f32f688dc2d9b1496292973c6b22", "translated_description": "The same side not corresponding to itself in two similar triangles", "image_url": "https://img.youtube.com/vi/Tal_fgREll0/hqdefault.jpg", "youtube_id": "Tal_fgREll0", "content_kind": "Video", "readable_id": "similarity-example-where-same-side-plays-different-roles"}, {"translated_youtube_id": "7aGEvpHaNJ8", "relative_url": "/video/challenging-similarity-problem", "has_questions": false, "keywords": "Challenging, Similarity, Problem", "ka_url": "http://www.khanacademy.org/video/challenging-similarity-problem", "duration": 593, "translated_title": "Challenging similarity problem", "translated_description_html": "Interesting similarity problem where we don't have a lot of information to work with", "id": "289578996", "description_html": "Interesting similarity problem where we don't have a lot of information to work with", "title": "Challenging similarity problem", "progress_key": "v289578996", "edit_slug": "edit/v/289578996", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Interesting similarity problem where we don't have a lot of information to work with", "extra_properties": null, "node_slug": "v/challenging-similarity-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-04T10:00:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7aGEvpHaNJ8.mp4/7aGEvpHaNJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7aGEvpHaNJ8.mp4/7aGEvpHaNJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7aGEvpHaNJ8.m3u8/7aGEvpHaNJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7aGEvpHaNJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289578996", "sha": "0254f8bb6810bb0f1d51ca937561b2dbfd3d0773", "translated_description": "Interesting similarity problem where we don't have a lot of information to work with", "image_url": "https://img.youtube.com/vi/7aGEvpHaNJ8/hqdefault.jpg", "youtube_id": "7aGEvpHaNJ8", "content_kind": "Video", "readable_id": "challenging-similarity-problem"}, {"translated_youtube_id": "EqNzr56h1Ic", "relative_url": "/video/finding-area-using-similarity-and-congruence", "has_questions": false, "keywords": "Finding, Area, Using, Similarity, and, Congruence", "ka_url": "http://www.khanacademy.org/video/finding-area-using-similarity-and-congruence", "duration": 607, "translated_title": "Finding area using similarity and congruence", "translated_description_html": "Example of using similarity and congruence to find the area of a triangle", "id": "290279019", "description_html": "Example of using similarity and congruence to find the area of a triangle", "title": "Finding area using similarity and congruence", "progress_key": "v290279019", "edit_slug": "edit/v/290279019", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Example of using similarity and congruence to find the area of a triangle", "extra_properties": null, "node_slug": "v/finding-area-using-similarity-and-congruence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T17:51:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EqNzr56h1Ic.mp4/EqNzr56h1Ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EqNzr56h1Ic.mp4/EqNzr56h1Ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EqNzr56h1Ic.m3u8/EqNzr56h1Ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EqNzr56h1Ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v290279019", "sha": "b4676cc96ed4a630c9077d417221572f6f156194", "translated_description": "Example of using similarity and congruence to find the area of a triangle", "image_url": "https://img.youtube.com/vi/EqNzr56h1Ic/hqdefault.jpg", "youtube_id": "EqNzr56h1Ic", "content_kind": "Video", "readable_id": "finding-area-using-similarity-and-congruence"}], "twitter_url": "", "translated_description": "This tutorial explains a similar (but not congruent) idea to congruency (if that last sentence made sense, you might not need this tutorial). Seriously, we'll take a rigorous look at similarity and think of some reasonable postulates for it. We'll then use these to prove some results and solve some problems. The fun must not stop!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial explains a similar (but not congruent) idea to congruency (if that last sentence made sense, you might not need this tutorial). Seriously, we'll take a rigorous look at similarity and think of some reasonable postulates for it. We'll then use these to prove some results and solve some problems. The fun must not stop!", "x_pos": 0.0, "node_slug": "triangle_similarlity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T07:06:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18c52c4a", "topic_page_url": "/math/geometry/similarity/triangle_similarlity", "extended_slug": "math/geometry/similarity/triangle_similarlity", "slug": "triangle_similarlity", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "341052c7b36ea4412fbf61944bec1285fb9ff524", "standalone_title": "Triangle similarity", "y_pos": 0.0, "current_revision_key": "341052c7b36ea4412fbf61944bec1285fb9ff524", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/similarity/old_school_similarity", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/similarity/old_school_similarity", "translated_standalone_title": "Old school similarity", "translated_title": "Old school similarity", "gplus_url": "", "id": "x7135df58", "old_key_name": "np-ZYr-4Q1XsqmRDUSHKkkn80iOnHa1jKLWo4S4f", "hide": false, "title": "Old school similarity", "child_data": [{"kind": "Video", "id": 24949}, {"kind": "Video", "id": 24951}], "children": [{"translated_youtube_id": "BI-rtfZVXy0", "relative_url": "/video/similar-triangles", "has_questions": false, "keywords": "triangles, similar, geometry, math, angles, CC_7_G_5, CC_8_G_4, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/similar-triangles", "duration": 574, "translated_title": "Similar triangles", "translated_description_html": "Introduction to similar triangles", "id": "24949", "description_html": "Introduction to similar triangles", "title": "Similar triangles", "progress_key": "v24949", "edit_slug": "edit/v/24949", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to similar triangles", "extra_properties": null, "node_slug": "v/similar-triangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BI-rtfZVXy0.mp4/BI-rtfZVXy0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BI-rtfZVXy0.mp4/BI-rtfZVXy0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BI-rtfZVXy0.m3u8/BI-rtfZVXy0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BI-rtfZVXy0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24949", "sha": "0e63e060f0a2408249541a2ecf5282e9c8a69f55", "translated_description": "Introduction to similar triangles", "image_url": "https://img.youtube.com/vi/BI-rtfZVXy0/hqdefault.jpg", "youtube_id": "BI-rtfZVXy0", "content_kind": "Video", "readable_id": "similar-triangles"}, {"translated_youtube_id": "qO2cTx6DwCA", "relative_url": "/video/similar-triangles--part-2", "has_questions": false, "keywords": "geometry, triangles, similar, angles, math, CC_7_G_5, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/similar-triangles--part-2", "duration": 594, "translated_title": "Similar triangles (part 2)", "translated_description_html": "More on similar triangles", "id": "24951", "description_html": "More on similar triangles", "title": "Similar triangles (part 2)", "progress_key": "v24951", "edit_slug": "edit/v/24951", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on similar triangles", "extra_properties": null, "node_slug": "v/similar-triangles--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qO2cTx6DwCA.mp4/qO2cTx6DwCA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qO2cTx6DwCA.mp4/qO2cTx6DwCA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qO2cTx6DwCA.m3u8/qO2cTx6DwCA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qO2cTx6DwCA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24951", "sha": "164344c366f2c85bfcd9d557edc6ed19bf9656eb", "translated_description": "More on similar triangles", "image_url": "https://img.youtube.com/vi/qO2cTx6DwCA/hqdefault.jpg", "youtube_id": "qO2cTx6DwCA", "content_kind": "Video", "readable_id": "similar-triangles--part-2"}], "twitter_url": "", "translated_description": "These videos may look similar (pun-intended) to videos in another playlist but they are older, rougher and arguably more charming. These are some of the original videos that Sal made on similarity. They are less formal than those in the \"other\" similarity tutorial, but, who knows, you might like them more.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "These videos may look similar (pun-intended) to videos in another playlist but they are older, rougher and arguably more charming. These are some of the original videos that Sal made on similarity. They are less formal than those in the \"other\" similarity tutorial, but, who knows, you might like them more.", "x_pos": 0.0, "node_slug": "old_school_similarity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7135df58", "topic_page_url": "/math/geometry/similarity/old_school_similarity", "extended_slug": "math/geometry/similarity/old_school_similarity", "slug": "old_school_similarity", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c7279e0f1a61b85cc5100f7aecec0e2c131072ba", "standalone_title": "Old school similarity", "y_pos": 0.0, "current_revision_key": "c7279e0f1a61b85cc5100f7aecec0e2c131072ba", "content_kind": "Topic"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": null, "x_pos": -33.0, "node_slug": "similarity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3941da99", "topic_page_url": "/math/geometry/similarity", "extended_slug": "math/geometry/similarity", "slug": "similarity", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8cd4ce214da8dc0c8eb8a5c7142fdaa03720af5c", "standalone_title": "Similarity", "y_pos": 37.0, "current_revision_key": "8cd4ce214da8dc0c8eb8a5c7142fdaa03720af5c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/right_triangles_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/right_triangles_topic", "translated_standalone_title": "Right triangles", "translated_title": "Right triangles", "gplus_url": "", "id": "x9dc39988", "old_key_name": "MkfMqpEKPS0otnKDiCeO6HIMB7MFonwHJAJJhXpL", "hide": false, "title": "Right triangles", "child_data": [{"kind": "Topic", "id": "x58c57a29"}, {"kind": "Topic", "id": "x04119835"}, {"kind": "Topic", "id": "xa494e4ce"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/right_triangles_topic/pyth_theor", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor", "translated_standalone_title": "Pythagorean theorem", "translated_title": "Pythagorean theorem", "gplus_url": "", "id": "x58c57a29", "old_key_name": "JJyf24mJ0qthd6f4ZHSfvY3bgfRdZTnQBpuRTJCR", "hide": false, "title": "Pythagorean theorem", "child_data": [{"kind": "Video", "id": 23754}, {"kind": "Video", "id": 2600799}, {"kind": "Video", "id": 26902}, {"kind": "Video", "id": 26903}, {"kind": "Video", "id": 26766}, {"kind": "Exercise", "id": 3032}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24961}, {"kind": "Video", "id": 24963}], "children": [{"translated_youtube_id": "AEIzy1kNRqo", "relative_url": "/video/pythagorean-theorem", "has_questions": false, "keywords": "Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem", "duration": 783, "translated_title": "Pythagorean theorem", "translated_description_html": "Pythagorean Theorem", "id": "23754", "description_html": "Pythagorean Theorem", "title": "Pythagorean theorem", "progress_key": "v23754", "edit_slug": "edit/v/23754", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem", "extra_properties": null, "node_slug": "v/pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.m3u8/AEIzy1kNRqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AEIzy1kNRqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23754", "sha": "9ae28f15fc1368ae3325904523c08666bb089e0e", "translated_description": "Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/AEIzy1kNRqo/hqdefault.jpg", "youtube_id": "AEIzy1kNRqo", "content_kind": "Video", "readable_id": "pythagorean-theorem"}, {"translated_youtube_id": "AA6RfgP-AHU", "relative_url": "/video/the-pythagorean-theorem", "has_questions": false, "keywords": "Introduction, to, the, Pythagorean, Theorem, CC_8_G_6, CC_8_G_7, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/the-pythagorean-theorem", "duration": 646, "translated_title": "The Pythagorean theorem intro", "translated_description_html": "Introduction to the Pythagorean Theorem", "id": "2600799", "description_html": "Introduction to the Pythagorean Theorem", "title": "The Pythagorean theorem intro", "progress_key": "v2600799", "edit_slug": "edit/v/2600799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Pythagorean Theorem", "extra_properties": {"original_url": ""}, "node_slug": "v/the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AA6RfgP-AHU.m3u8/AA6RfgP-AHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AA6RfgP-AHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600799", "sha": "8b023a9d2ec9cf5894be44fe2e8221f24ce10f34", "translated_description": "Introduction to the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/AA6RfgP-AHU/hqdefault.jpg", "youtube_id": "AA6RfgP-AHU", "content_kind": "Video", "readable_id": "the-pythagorean-theorem"}, {"translated_youtube_id": "JVrkLIcA2qw", "relative_url": "/video/pythagorean-theorem-1", "has_questions": false, "keywords": "U07_L2_T1_we1, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-1", "duration": 272, "translated_title": "Pythagorean theorem 1", "translated_description_html": "Pythagorean Theorem 1", "id": "26902", "description_html": "Pythagorean Theorem 1", "title": "Pythagorean theorem 1", "progress_key": "v26902", "edit_slug": "edit/v/26902", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 1", "extra_properties": null, "node_slug": "v/pythagorean-theorem-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.mp4/JVrkLIcA2qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.mp4/JVrkLIcA2qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVrkLIcA2qw.m3u8/JVrkLIcA2qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVrkLIcA2qw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26902", "sha": "f152d6b0d2788b61e0b12b81878e12d85d5fd659", "translated_description": "Pythagorean Theorem 1", "image_url": "https://img.youtube.com/vi/JVrkLIcA2qw/hqdefault.jpg", "youtube_id": "JVrkLIcA2qw", "content_kind": "Video", "readable_id": "pythagorean-theorem-1"}, {"translated_youtube_id": "O64YFlX1_aI", "relative_url": "/video/pythagorean-theorem-2", "has_questions": false, "keywords": "U07_L2_T1_we2, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-2", "duration": 257, "translated_title": "Pythagorean theorem 2", "translated_description_html": "Pythagorean Theorem 2", "id": "26903", "description_html": "Pythagorean Theorem 2", "title": "Pythagorean theorem 2", "progress_key": "v26903", "edit_slug": "edit/v/26903", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 2", "extra_properties": null, "node_slug": "v/pythagorean-theorem-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.mp4/O64YFlX1_aI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.mp4/O64YFlX1_aI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O64YFlX1_aI.m3u8/O64YFlX1_aI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O64YFlX1_aI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26903", "sha": "6ad691cd6268ebeb8f8fd8485b5de95a79ebcae3", "translated_description": "Pythagorean Theorem 2", "image_url": "https://img.youtube.com/vi/O64YFlX1_aI/hqdefault.jpg", "youtube_id": "O64YFlX1_aI", "content_kind": "Video", "readable_id": "pythagorean-theorem-2"}, {"translated_youtube_id": "T0IOrRETWhI", "relative_url": "/video/pythagorean-theorem-3", "has_questions": false, "keywords": "U07_L2_T1_we3, Pythagorean, Theorem, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-3", "duration": 180, "translated_title": "Pythagorean theorem 3", "translated_description_html": "Pythagorean Theorem 3", "id": "26766", "description_html": "Pythagorean Theorem 3", "title": "Pythagorean theorem 3", "progress_key": "v26766", "edit_slug": "edit/v/26766", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pythagorean Theorem 3", "extra_properties": null, "node_slug": "v/pythagorean-theorem-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.mp4/T0IOrRETWhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.mp4/T0IOrRETWhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T0IOrRETWhI.m3u8/T0IOrRETWhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T0IOrRETWhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26766", "sha": "3da624cee832c98e7f1bd03245e34a35fbb75289", "translated_description": "Pythagorean Theorem 3", "image_url": "https://img.youtube.com/vi/T0IOrRETWhI/hqdefault.jpg", "youtube_id": "T0IOrRETWhI", "content_kind": "Video", "readable_id": "pythagorean-theorem-3"}, {"translated_youtube_id": "s9t7rNhaBp8", "relative_url": "/video/introduction-to-the-pythagorean-theorem", "has_questions": false, "keywords": "Geometry, Math, Khan, Academy", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-pythagorean-theorem", "duration": 514, "translated_title": "Introduction to the Pythagorean theorem", "translated_description_html": "Right triangles and the Pythagorean Theorem", "id": "24961", "description_html": "Right triangles and the Pythagorean Theorem", "title": "Introduction to the Pythagorean theorem", "progress_key": "v24961", "edit_slug": "edit/v/24961", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Right triangles and the Pythagorean Theorem", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-27T20:29:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s9t7rNhaBp8.mp4/s9t7rNhaBp8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s9t7rNhaBp8.mp4/s9t7rNhaBp8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s9t7rNhaBp8.m3u8/s9t7rNhaBp8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s9t7rNhaBp8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24961", "sha": "06ff8043f9e3c23773ff36ae4626caeae0e3e509", "translated_description": "Right triangles and the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/s9t7rNhaBp8/hqdefault.jpg", "youtube_id": "s9t7rNhaBp8", "content_kind": "Video", "readable_id": "introduction-to-the-pythagorean-theorem"}, {"translated_youtube_id": "nMhJLn5ives", "relative_url": "/video/pythagorean-theorem-ii", "has_questions": false, "keywords": "Pythagorean, Theorem, geometry, math, khan, CC_8_G_6", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-ii", "duration": 576, "translated_title": "Pythagorean theorem II", "translated_description_html": "More Pythagorean Theorem examples. Introduction to 45-45-90 triangles.", "id": "24963", "description_html": "More Pythagorean Theorem examples. Introduction to 45-45-90 triangles.", "title": "Pythagorean theorem II", "progress_key": "v24963", "edit_slug": "edit/v/24963", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More Pythagorean Theorem examples. Introduction to 45-45-90 triangles.", "extra_properties": null, "node_slug": "v/pythagorean-theorem-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nMhJLn5ives.mp4/nMhJLn5ives.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nMhJLn5ives.mp4/nMhJLn5ives.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nMhJLn5ives.m3u8/nMhJLn5ives.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nMhJLn5ives&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24963", "sha": "e4ea3e7a94fb40875141f5767426a4ba393e79fa", "translated_description": "More Pythagorean Theorem examples. Introduction to 45-45-90 triangles.", "image_url": "https://img.youtube.com/vi/nMhJLn5ives/hqdefault.jpg", "youtube_id": "nMhJLn5ives", "content_kind": "Video", "readable_id": "pythagorean-theorem-ii"}], "twitter_url": "", "translated_description": "Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful.\n\nIn this tutorial, we will cover what it is and how it can be used. We have another tutorial that gives you as many proofs of it as you might need.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful.\n\nIn this tutorial, we will cover what it is and how it can be used. We have another tutorial that gives you as many proofs of it as you might need.", "x_pos": 0.0, "node_slug": "pyth_theor", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax58c57a29", "topic_page_url": "/math/geometry/right_triangles_topic/pyth_theor", "extended_slug": "math/geometry/right_triangles_topic/pyth_theor", "slug": "pyth_theor", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9a461cf28e44aefb826ac4c1271dd25773e339d0", "standalone_title": "Pythagorean theorem", "y_pos": 0.0, "current_revision_key": "9a461cf28e44aefb826ac4c1271dd25773e339d0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/right_triangles_topic/pythagorean_proofs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs", "translated_standalone_title": "Pythagorean theorem proofs", "translated_title": "Pythagorean theorem proofs", "gplus_url": "", "id": "x04119835", "old_key_name": "D6cDXtAIubyyWd-W4b5ASeFR803YdmC6Sh4PsD-v", "hide": false, "title": "Pythagorean theorem proofs", "child_data": [{"kind": "Video", "id": 1199652424}, {"kind": "Video", "id": 1199369003}, {"kind": "Video", "id": 290279020}, {"kind": "Video", "id": 1199568849}], "children": [{"translated_youtube_id": "EINpkcphsPQ", "relative_url": "/video/garfield-s-proof-of-the-pythagorean-theorem", "has_questions": false, "keywords": "pythagoras", "ka_url": "http://www.khanacademy.org/video/garfield-s-proof-of-the-pythagorean-theorem", "duration": 536, "translated_title": "Garfield's proof of the Pythagorean theorem", "translated_description_html": "James Garfield's proof of the Pythagorean Theorem.", "id": "1199652424", "description_html": "James Garfield's proof of the Pythagorean Theorem.", "title": "Garfield's proof of the Pythagorean theorem", "progress_key": "v1199652424", "edit_slug": "edit/v/1199652424", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "James Garfield's proof of the Pythagorean Theorem.", "extra_properties": null, "node_slug": "v/garfield-s-proof-of-the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-05T16:31:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.mp4/EINpkcphsPQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.mp4/EINpkcphsPQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EINpkcphsPQ.m3u8/EINpkcphsPQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EINpkcphsPQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199652424", "sha": "d4392490a908eca8ce462c91ac438622bce66927", "translated_description": "James Garfield's proof of the Pythagorean Theorem.", "image_url": "https://img.youtube.com/vi/EINpkcphsPQ/hqdefault.jpg", "youtube_id": "EINpkcphsPQ", "content_kind": "Video", "readable_id": "garfield-s-proof-of-the-pythagorean-theorem"}, {"translated_youtube_id": "1ul8g55dYA4", "relative_url": "/video/bhaskara-s-proof-of-pythagorean-theorem-avi", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bhaskara-s-proof-of-pythagorean-theorem-avi", "duration": 543, "translated_title": "Bhaskara's proof of the Pythagorean theorem", "translated_description_html": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "id": "1199369003", "description_html": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "title": "Bhaskara's proof of the Pythagorean theorem", "progress_key": "v1199369003", "edit_slug": "edit/v/1199369003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "extra_properties": null, "node_slug": "v/bhaskara-s-proof-of-pythagorean-theorem-avi", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-05T16:46:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.mp4/1ul8g55dYA4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.mp4/1ul8g55dYA4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1ul8g55dYA4.m3u8/1ul8g55dYA4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1ul8g55dYA4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199369003", "sha": "c729949b489749313775bcbdae44d0fb6ee9df92", "translated_description": "An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.", "image_url": "https://img.youtube.com/vi/1ul8g55dYA4/hqdefault.jpg", "youtube_id": "1ul8g55dYA4", "content_kind": "Video", "readable_id": "bhaskara-s-proof-of-pythagorean-theorem-avi"}, {"translated_youtube_id": "LrS5_l-gk94", "relative_url": "/video/pythagorean-theorem-proof-using-similarity", "has_questions": false, "keywords": "Pythagorean, Theorem, Proof, Using, Similarity", "ka_url": "http://www.khanacademy.org/video/pythagorean-theorem-proof-using-similarity", "duration": 592, "translated_title": "Pythagorean theorem proof using similarity", "translated_description_html": "Proof of the Pythagorean Theorem using similarity", "id": "290279020", "description_html": "Proof of the Pythagorean Theorem using similarity", "title": "Pythagorean theorem proof using similarity", "progress_key": "v290279020", "edit_slug": "edit/v/290279020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Proof of the Pythagorean Theorem using similarity", "extra_properties": null, "node_slug": "v/pythagorean-theorem-proof-using-similarity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T17:51:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.mp4/LrS5_l-gk94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.mp4/LrS5_l-gk94.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LrS5_l-gk94.m3u8/LrS5_l-gk94.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LrS5_l-gk94&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v290279020", "sha": "6f2c0d56620d5ed40e1a7c0f5045f343e61cd485", "translated_description": "Proof of the Pythagorean Theorem using similarity", "image_url": "https://img.youtube.com/vi/LrS5_l-gk94/hqdefault.jpg", "youtube_id": "LrS5_l-gk94", "content_kind": "Video", "readable_id": "pythagorean-theorem-proof-using-similarity"}, {"translated_youtube_id": "rcBaqkGp7CA", "relative_url": "/video/another-pythagorean-theorem-proof", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/another-pythagorean-theorem-proof", "duration": 623, "translated_title": "Another Pythagorean theorem proof", "translated_description_html": "Visually proving the Pythagorean Theorem", "id": "1199568849", "description_html": "Visually proving the Pythagorean Theorem", "title": "Another Pythagorean theorem proof", "progress_key": "v1199568849", "edit_slug": "edit/v/1199568849", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visually proving the Pythagorean Theorem", "extra_properties": null, "node_slug": "v/another-pythagorean-theorem-proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-05T16:50:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.mp4/rcBaqkGp7CA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.mp4/rcBaqkGp7CA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcBaqkGp7CA.m3u8/rcBaqkGp7CA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcBaqkGp7CA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1199568849", "sha": "fcc10bbb0b6bc27011b119db2a136b82b5a44744", "translated_description": "Visually proving the Pythagorean Theorem", "image_url": "https://img.youtube.com/vi/rcBaqkGp7CA/hqdefault.jpg", "youtube_id": "rcBaqkGp7CA", "content_kind": "Video", "readable_id": "another-pythagorean-theorem-proof"}], "twitter_url": "", "translated_description": "The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.", "x_pos": 0.0, "node_slug": "pythagorean_proofs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04119835", "topic_page_url": "/math/geometry/right_triangles_topic/pythagorean_proofs", "extended_slug": "math/geometry/right_triangles_topic/pythagorean_proofs", "slug": "pythagorean_proofs", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e4c63ee682f66d8c0b7daa234ec032e7ca44969e", "standalone_title": "Pythagorean theorem proofs", "y_pos": 0.0, "current_revision_key": "e4c63ee682f66d8c0b7daa234ec032e7ca44969e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/right_triangles_topic/special_right_triangles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles", "translated_standalone_title": "Special right triangles", "translated_title": "Special right triangles", "gplus_url": "", "id": "xa494e4ce", "old_key_name": "j4bbjyrCxR9HLdg0mzgthRUm43w2iTOZpo5Uir5C", "hide": false, "title": "Special right triangles", "child_data": [{"kind": "Video", "id": 292160871}, {"kind": "Video", "id": 292160870}, {"kind": "Video", "id": 294677485}, {"kind": "Exercise", "id": 3034}, {"kind": "Video", "id": 353965911}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24965}, {"kind": "Video", "id": 24967}, {"kind": "Video", "id": 24969}], "children": [{"translated_youtube_id": "SFL4stapeUs", "relative_url": "/video/30-60-90-triangle-side-ratios-proof", "has_questions": false, "keywords": "30, 60, 90, Triangle, Side, Ratios, Proof", "ka_url": "http://www.khanacademy.org/video/30-60-90-triangle-side-ratios-proof", "duration": 419, "translated_title": "30-60-90 triangle side ratios proof", "translated_description_html": "Proving the ratios between the sides of a 30-60-90 triangle", "id": "292160871", "description_html": "Proving the ratios between the sides of a 30-60-90 triangle", "title": "30-60-90 triangle side ratios proof", "progress_key": "v292160871", "edit_slug": "edit/v/292160871", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving the ratios between the sides of a 30-60-90 triangle", "extra_properties": null, "node_slug": "v/30-60-90-triangle-side-ratios-proof", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-10-05T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SFL4stapeUs.mp4/SFL4stapeUs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SFL4stapeUs.mp4/SFL4stapeUs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SFL4stapeUs.m3u8/SFL4stapeUs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SFL4stapeUs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v292160871", "sha": "08a81a9fe33ec861a92eb8381779378e4b2dfef0", "translated_description": "Proving the ratios between the sides of a 30-60-90 triangle", "image_url": "https://img.youtube.com/vi/SFL4stapeUs/hqdefault.jpg", "youtube_id": "SFL4stapeUs", "content_kind": "Video", "readable_id": "30-60-90-triangle-side-ratios-proof"}, {"translated_youtube_id": "McINBOFCGH8", "relative_url": "/video/45-45-90-triangle-side-ratios", "has_questions": false, "keywords": "45, 90, Triangle, Side, Ratios", "ka_url": "http://www.khanacademy.org/video/45-45-90-triangle-side-ratios", "duration": 342, "translated_title": "45-45-90 triangle side ratios", "translated_description_html": "Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)", "id": "292160870", "description_html": "Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)", "title": "45-45-90 triangle side ratios", "progress_key": "v292160870", "edit_slug": "edit/v/292160870", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)", "extra_properties": null, "node_slug": "v/45-45-90-triangle-side-ratios", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-05T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/McINBOFCGH8.mp4/McINBOFCGH8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/McINBOFCGH8.mp4/McINBOFCGH8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/McINBOFCGH8.m3u8/McINBOFCGH8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=McINBOFCGH8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v292160870", "sha": "b47272f0eb99475b9a476fdb35c8b094569de463", "translated_description": "Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)", "image_url": "https://img.youtube.com/vi/McINBOFCGH8/hqdefault.jpg", "youtube_id": "McINBOFCGH8", "content_kind": "Video", "readable_id": "45-45-90-triangle-side-ratios"}, {"translated_youtube_id": "dgHksfBFbjk", "relative_url": "/video/30-60-90-triangle-example-problem", "has_questions": false, "keywords": "30, 60, 90, Triangle, Example, Problem", "ka_url": "http://www.khanacademy.org/video/30-60-90-triangle-example-problem", "duration": 400, "translated_title": "30-60-90 triangle example problem", "translated_description_html": "Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem", "id": "294677485", "description_html": "Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem", "title": "30-60-90 triangle example problem", "progress_key": "v294677485", "edit_slug": "edit/v/294677485", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem", "extra_properties": null, "node_slug": "v/30-60-90-triangle-example-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-06T10:00:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dgHksfBFbjk.mp4/dgHksfBFbjk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dgHksfBFbjk.mp4/dgHksfBFbjk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dgHksfBFbjk.m3u8/dgHksfBFbjk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dgHksfBFbjk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v294677485", "sha": "2ebfc6de211083ad3f6d16b6706eabd3d0864def", "translated_description": "Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem", "image_url": "https://img.youtube.com/vi/dgHksfBFbjk/hqdefault.jpg", "youtube_id": "dgHksfBFbjk", "content_kind": "Video", "readable_id": "30-60-90-triangle-example-problem"}, {"translated_youtube_id": "LrxZMdQ6tiw", "relative_url": "/video/area-of-a-regular-hexagon", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/area-of-a-regular-hexagon", "duration": 471, "translated_title": "Area of a regular hexagon", "translated_description_html": "Using what we know about triangles to find the area of a regular hexagon", "id": "353965911", "description_html": "Using what we know about triangles to find the area of a regular hexagon", "title": "Area of a regular hexagon", "progress_key": "v353965911", "edit_slug": "edit/v/353965911", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using what we know about triangles to find the area of a regular hexagon", "extra_properties": null, "node_slug": "v/area-of-a-regular-hexagon", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-03T10:06:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LrxZMdQ6tiw.mp4/LrxZMdQ6tiw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LrxZMdQ6tiw.mp4/LrxZMdQ6tiw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LrxZMdQ6tiw.m3u8/LrxZMdQ6tiw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LrxZMdQ6tiw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v353965911", "sha": "57693a13d01772dd7135c19d88087f462cd048ed", "translated_description": "Using what we know about triangles to find the area of a regular hexagon", "image_url": "https://img.youtube.com/vi/LrxZMdQ6tiw/hqdefault.jpg", "youtube_id": "LrxZMdQ6tiw", "content_kind": "Video", "readable_id": "area-of-a-regular-hexagon"}, {"translated_youtube_id": "tSHitjFIjd8", "relative_url": "/video/45-45-90-triangles", "has_questions": false, "keywords": "Geometry, Math, Khan", "ka_url": "http://www.khanacademy.org/video/45-45-90-triangles", "duration": 570, "translated_title": "45-45-90 triangles", "translated_description_html": "Introduction to 45-45-90 Triangles", "id": "24965", "description_html": "Introduction to 45-45-90 Triangles", "title": "45-45-90 triangles", "progress_key": "v24965", "edit_slug": "edit/v/24965", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to 45-45-90 Triangles", "extra_properties": null, "node_slug": "v/45-45-90-triangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tSHitjFIjd8.mp4/tSHitjFIjd8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tSHitjFIjd8.mp4/tSHitjFIjd8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tSHitjFIjd8.m3u8/tSHitjFIjd8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tSHitjFIjd8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24965", "sha": "0663ff19c997e1d6850d42eca89204ac73032b10", "translated_description": "Introduction to 45-45-90 Triangles", "image_url": "https://img.youtube.com/vi/tSHitjFIjd8/hqdefault.jpg", "youtube_id": "tSHitjFIjd8", "content_kind": "Video", "readable_id": "45-45-90-triangles"}, {"translated_youtube_id": "Qwet4cIpnCM", "relative_url": "/video/intro-to-30-60-90-triangles", "has_questions": false, "keywords": "Geometry, Math, Khan", "ka_url": "http://www.khanacademy.org/video/intro-to-30-60-90-triangles", "duration": 579, "translated_title": "Intro to 30-60-90 triangles", "translated_description_html": "A few more 45-45-90 examples and an introduction to 30-60-90 triangles.", "id": "24967", "description_html": "A few more 45-45-90 examples and an introduction to 30-60-90 triangles.", "title": "Intro to 30-60-90 triangles", "progress_key": "v24967", "edit_slug": "edit/v/24967", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A few more 45-45-90 examples and an introduction to 30-60-90 triangles.", "extra_properties": null, "node_slug": "v/intro-to-30-60-90-triangles", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qwet4cIpnCM.mp4/Qwet4cIpnCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qwet4cIpnCM.mp4/Qwet4cIpnCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qwet4cIpnCM.m3u8/Qwet4cIpnCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qwet4cIpnCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24967", "sha": "34cbb3a019fec0d5213697eb2bf2e91fe658e331", "translated_description": "A few more 45-45-90 examples and an introduction to 30-60-90 triangles.", "image_url": "https://img.youtube.com/vi/Qwet4cIpnCM/hqdefault.jpg", "youtube_id": "Qwet4cIpnCM", "content_kind": "Video", "readable_id": "intro-to-30-60-90-triangles"}, {"translated_youtube_id": "3mLUJSoh6i0", "relative_url": "/video/30-60-90-triangles-ii", "has_questions": false, "keywords": "Geometry, Math, Khan, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/30-60-90-triangles-ii", "duration": 289, "translated_title": "30-60-90 triangles II", "translated_description_html": "More examples using 30-60-90 triangles.", "id": "24969", "description_html": "More examples using 30-60-90 triangles.", "title": "30-60-90 triangles II", "progress_key": "v24969", "edit_slug": "edit/v/24969", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples using 30-60-90 triangles.", "extra_properties": null, "node_slug": "v/30-60-90-triangles-ii", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mLUJSoh6i0.mp4/3mLUJSoh6i0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mLUJSoh6i0.mp4/3mLUJSoh6i0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3mLUJSoh6i0.m3u8/3mLUJSoh6i0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3mLUJSoh6i0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24969", "sha": "9910b5226bd8f3661e1e52651cdfa99ad7336121", "translated_description": "More examples using 30-60-90 triangles.", "image_url": "https://img.youtube.com/vi/3mLUJSoh6i0/hqdefault.jpg", "youtube_id": "3mLUJSoh6i0", "content_kind": "Video", "readable_id": "30-60-90-triangles-ii"}], "twitter_url": "", "translated_description": "We hate to pick favorites, but there really are certain right triangles that are more special than others. In this tutorial, we pick them out, show why they're special, and prove it! These include 30-60-90 and 45-45-90 triangles (the numbers refer to the measure of the angles in the triangle).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We hate to pick favorites, but there really are certain right triangles that are more special than others. In this tutorial, we pick them out, show why they're special, and prove it! These include 30-60-90 and 45-45-90 triangles (the numbers refer to the measure of the angles in the triangle).", "x_pos": 0.0, "node_slug": "special_right_triangles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa494e4ce", "topic_page_url": "/math/geometry/right_triangles_topic/special_right_triangles", "extended_slug": "math/geometry/right_triangles_topic/special_right_triangles", "slug": "special_right_triangles", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "eea39d345127632330a807dff0f9b8d6550098f5", "standalone_title": "Special right triangles", "y_pos": 0.0, "current_revision_key": "eea39d345127632330a807dff0f9b8d6550098f5", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.", "x_pos": 0.0, "node_slug": "right_triangles_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9dc39988", "topic_page_url": "/math/geometry/right_triangles_topic", "extended_slug": "math/geometry/right_triangles_topic", "slug": "right_triangles_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7191f1b998980ad1a131b25a3346c95ba8597474", "standalone_title": "Right triangles", "y_pos": 0.0, "current_revision_key": "7191f1b998980ad1a131b25a3346c95ba8597474", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/triangle-properties-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties", "translated_standalone_title": "Special properties and parts of triangles", "translated_title": "Special properties and parts of triangles", "gplus_url": "", "id": "x7ca5999e", "old_key_name": "fXOzwkCI8atCpgrnlCENSSw7OL72WPD5ICY0amSd", "hide": false, "title": "Special properties and parts of triangles", "child_data": [{"kind": "Topic", "id": "x68956a15"}, {"kind": "Topic", "id": "xbb63e4db"}, {"kind": "Topic", "id": "xcc148909"}, {"kind": "Topic", "id": "x9448352a"}, {"kind": "Topic", "id": "xa94b3511"}, {"kind": "Topic", "id": "x2b70434f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/perpendicular_bisectors", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors", "translated_standalone_title": "Perpendicular bisectors", "translated_title": "Perpendicular bisectors", "gplus_url": "", "id": "x68956a15", "old_key_name": "ZhVcA5yFsGZoDc3pH3HW-6QSbvlmHmwHw1V9nhXK", "hide": false, "title": "Perpendicular bisectors", "child_data": [{"kind": "Video", "id": 298421783}, {"kind": "Video", "id": 298435073}, {"kind": "Video", "id": 309312179}, {"kind": "Video", "id": 13179257}, {"kind": "Video", "id": 13179269}], "children": [{"translated_youtube_id": "KXZ6w91DioU", "relative_url": "/video/circumcenter-of-a-triangle", "has_questions": false, "keywords": "circumscribe", "ka_url": "http://www.khanacademy.org/video/circumcenter-of-a-triangle", "duration": 749, "translated_title": "Circumcenter of a triangle", "translated_description_html": "Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle", "id": "298421783", "description_html": "Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle", "title": "Circumcenter of a triangle", "progress_key": "v298421783", "edit_slug": "edit/v/298421783", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle", "extra_properties": null, "node_slug": "v/circumcenter-of-a-triangle", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-10-08T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KXZ6w91DioU.mp4/KXZ6w91DioU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KXZ6w91DioU.mp4/KXZ6w91DioU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KXZ6w91DioU.m3u8/KXZ6w91DioU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KXZ6w91DioU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v298421783", "sha": "537c043ad1fd6e34f5e4bbc45b12b007474fdcc5", "translated_description": "Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle", "image_url": "https://img.youtube.com/vi/KXZ6w91DioU/hqdefault.jpg", "youtube_id": "KXZ6w91DioU", "content_kind": "Video", "readable_id": "circumcenter-of-a-triangle"}, {"translated_youtube_id": "VejCw2NlE60", "relative_url": "/video/circumcenter-of-a-right-triangle", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/circumcenter-of-a-right-triangle", "duration": 342, "translated_title": "Circumcenter of a right triangle", "translated_description_html": "Showing that the midpoint of the hypotenuse is the circumcenter", "id": "298435073", "description_html": "Showing that the midpoint of the hypotenuse is the circumcenter", "title": "Circumcenter of a right triangle", "progress_key": "v298435073", "edit_slug": "edit/v/298435073", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Showing that the midpoint of the hypotenuse is the circumcenter", "extra_properties": null, "node_slug": "v/circumcenter-of-a-right-triangle", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-10-08T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VejCw2NlE60.mp4/VejCw2NlE60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VejCw2NlE60.mp4/VejCw2NlE60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VejCw2NlE60.m3u8/VejCw2NlE60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VejCw2NlE60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v298435073", "sha": "306f0b7acd7f0b846219632250299b2c7f587262", "translated_description": "Showing that the midpoint of the hypotenuse is the circumcenter", "image_url": "https://img.youtube.com/vi/VejCw2NlE60/hqdefault.jpg", "youtube_id": "VejCw2NlE60", "content_kind": "Video", "readable_id": "circumcenter-of-a-right-triangle"}, {"translated_youtube_id": "4_xhiP6g2ow", "relative_url": "/video/three-points-defining-a-circle", "has_questions": false, "keywords": "Three, Points, Defining, Circle", "ka_url": "http://www.khanacademy.org/video/three-points-defining-a-circle", "duration": 608, "translated_title": "Three points defining a circle", "translated_description_html": "Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.", "id": "309312179", "description_html": "Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.", "title": "Three points defining a circle", "progress_key": "v309312179", "edit_slug": "edit/v/309312179", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.", "extra_properties": null, "node_slug": "v/three-points-defining-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-13T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.mp4/4_xhiP6g2ow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.mp4/4_xhiP6g2ow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.m3u8/4_xhiP6g2ow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4_xhiP6g2ow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v309312179", "sha": "3f455e58f0a558aa431ea3881b683d5921de91ad", "translated_description": "Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.", "image_url": "https://img.youtube.com/vi/4_xhiP6g2ow/hqdefault.jpg", "youtube_id": "4_xhiP6g2ow", "content_kind": "Video", "readable_id": "three-points-defining-a-circle"}, {"translated_youtube_id": "x_aax6LSRtE", "relative_url": "/video/area-circumradius-formula-proof", "has_questions": false, "keywords": "circumscribed, circle, circumcircle, area, radius", "ka_url": "http://www.khanacademy.org/video/area-circumradius-formula-proof", "duration": 546, "translated_title": "Area circumradius formula proof", "translated_description_html": "Proof of the formula relating the area of a triangle to its circumradius", "id": "13179257", "description_html": "Proof of the formula relating the area of a triangle to its circumradius", "title": "Area circumradius formula proof", "progress_key": "v13179257", "edit_slug": "edit/v/13179257", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof of the formula relating the area of a triangle to its circumradius", "extra_properties": null, "node_slug": "v/area-circumradius-formula-proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.mp4/x_aax6LSRtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.mp4/x_aax6LSRtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.m3u8/x_aax6LSRtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x_aax6LSRtE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179257", "sha": "4dbf9204730685bfab7c22d97504f0a330876870", "translated_description": "Proof of the formula relating the area of a triangle to its circumradius", "image_url": "https://img.youtube.com/vi/x_aax6LSRtE/hqdefault.jpg", "youtube_id": "x_aax6LSRtE", "content_kind": "Video", "readable_id": "area-circumradius-formula-proof"}, {"translated_youtube_id": "jpKjXtywTlQ", "relative_url": "/video/2003-aime-ii-problem-7", "has_questions": false, "keywords": "circumscribed, circle, triangle, circumcircle, rhombus, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-7", "duration": 793, "translated_title": "2003 AIME II problem 7", "translated_description_html": "", "id": "13179269", "description_html": "", "title": "2003 AIME II problem 7", "progress_key": "v13179269", "edit_slug": "edit/v/13179269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.m3u8/jpKjXtywTlQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jpKjXtywTlQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179269", "sha": "5e02a960632b176e5e6f4100ecb6b12b0a034fe5", "translated_description": "", "image_url": "https://img.youtube.com/vi/jpKjXtywTlQ/hqdefault.jpg", "youtube_id": "jpKjXtywTlQ", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-7"}], "twitter_url": "", "translated_description": "In this tutorial, we study lines that are perpendicular to the sides of a triangle and divide them in two (perpendicular bisectors). As we'll prove, they intersect at a unique point called the cicumcenter (which, quite amazingly, is equidistant to the vertices). We can then create a circle (circumcircle) centered at this point that goes through all the vertices. \n\nThis tutorial is the extension of the core narrative of the Geometry \"course\". After this, you might want to look at the tutorial on angle bisectors.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we study lines that are perpendicular to the sides of a triangle and divide them in two (perpendicular bisectors). As we'll prove, they intersect at a unique point called the cicumcenter (which, quite amazingly, is equidistant to the vertices). We can then create a circle (circumcircle) centered at this point that goes through all the vertices. \n\nThis tutorial is the extension of the core narrative of the Geometry \"course\". After this, you might want to look at the tutorial on angle bisectors.", "x_pos": 0.0, "node_slug": "perpendicular_bisectors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68956a15", "topic_page_url": "/math/geometry/triangle-properties/perpendicular_bisectors", "extended_slug": "math/geometry/triangle-properties/perpendicular_bisectors", "slug": "perpendicular_bisectors", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6d016574ca88e3e5e7f239cdc90d5562ba6791e0", "standalone_title": "Perpendicular bisectors", "y_pos": 0.0, "current_revision_key": "6d016574ca88e3e5e7f239cdc90d5562ba6791e0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/angle_bisectors", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors", "translated_standalone_title": "Angle bisectors", "translated_title": "Angle bisectors", "gplus_url": "", "id": "xbb63e4db", "old_key_name": "TRWBoVxwHCH1cPdlk0xmDC24wZzt9bX52DS2H5gA", "hide": false, "title": "Angle bisectors", "child_data": [{"kind": "Video", "id": 309312178}, {"kind": "Video", "id": 309318058}, {"kind": "Video", "id": 311447418}, {"kind": "Video", "id": 309317056}, {"kind": "Video", "id": 311469472}, {"kind": "Exercise", "id": 251597535}], "children": [{"translated_youtube_id": "yj4oS-27Q3k", "relative_url": "/video/point-line-distance-and-angle-bisectors", "has_questions": false, "keywords": "Point, Line, Distance, and, Angle, Bisectors", "ka_url": "http://www.khanacademy.org/video/point-line-distance-and-angle-bisectors", "duration": 657, "translated_title": "Point-line distance and angle bisectors", "translated_description_html": "Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector", "id": "309312178", "description_html": "Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector", "title": "Point-line distance and angle bisectors", "progress_key": "v309312178", "edit_slug": "edit/v/309312178", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector", "extra_properties": null, "node_slug": "v/point-line-distance-and-angle-bisectors", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-10-13T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yj4oS-27Q3k.mp4/yj4oS-27Q3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yj4oS-27Q3k.mp4/yj4oS-27Q3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yj4oS-27Q3k.m3u8/yj4oS-27Q3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yj4oS-27Q3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v309312178", "sha": "11be5f63f8a41cd8041445a587e8dcc8ee67896e", "translated_description": "Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector", "image_url": "https://img.youtube.com/vi/yj4oS-27Q3k/hqdefault.jpg", "youtube_id": "yj4oS-27Q3k", "content_kind": "Video", "readable_id": "point-line-distance-and-angle-bisectors"}, {"translated_youtube_id": "21vbBiCVijE", "relative_url": "/video/incenter-and-incircles-of-a-triangle", "has_questions": false, "keywords": "Incenter, and, incircles, of, a, triangle", "ka_url": "http://www.khanacademy.org/video/incenter-and-incircles-of-a-triangle", "duration": 478, "translated_title": "Incenter and incircles of a triangle", "translated_description_html": "Using angle bisectors to find the incenter and incircle of a triangle", "id": "309318058", "description_html": "Using angle bisectors to find the incenter and incircle of a triangle", "title": "Incenter and incircles of a triangle", "progress_key": "v309318058", "edit_slug": "edit/v/309318058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using angle bisectors to find the incenter and incircle of a triangle", "extra_properties": null, "node_slug": "v/incenter-and-incircles-of-a-triangle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-13T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/21vbBiCVijE.mp4/21vbBiCVijE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/21vbBiCVijE.mp4/21vbBiCVijE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/21vbBiCVijE.m3u8/21vbBiCVijE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=21vbBiCVijE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v309318058", "sha": "e3196a1dda51c2525c31ce61a338dc6de1486563", "translated_description": "Using angle bisectors to find the incenter and incircle of a triangle", "image_url": "https://img.youtube.com/vi/21vbBiCVijE/hqdefault.jpg", "youtube_id": "21vbBiCVijE", "content_kind": "Video", "readable_id": "incenter-and-incircles-of-a-triangle"}, {"translated_youtube_id": "5NjgcPri07E", "relative_url": "/video/inradius-perimeter-and-area", "has_questions": false, "keywords": "perimeter, geometry", "ka_url": "http://www.khanacademy.org/video/inradius-perimeter-and-area", "duration": 449, "translated_title": "Inradius, perimeter, and area", "translated_description_html": "Showing that area is equal to inradius times semiperimeter", "id": "311447418", "description_html": "Showing that area is equal to inradius times semiperimeter", "title": "Inradius, perimeter, and area", "progress_key": "v311447418", "edit_slug": "edit/v/311447418", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Showing that area is equal to inradius times semiperimeter", "extra_properties": null, "node_slug": "v/inradius-perimeter-and-area", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-14T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5NjgcPri07E.mp4/5NjgcPri07E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5NjgcPri07E.mp4/5NjgcPri07E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5NjgcPri07E.m3u8/5NjgcPri07E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5NjgcPri07E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v311447418", "sha": "57b791bc55e4248a27844a1da2977b9a27771537", "translated_description": "Showing that area is equal to inradius times semiperimeter", "image_url": "https://img.youtube.com/vi/5NjgcPri07E/hqdefault.jpg", "youtube_id": "5NjgcPri07E", "content_kind": "Video", "readable_id": "inradius-perimeter-and-area"}, {"translated_youtube_id": "TpIBLnRAslI", "relative_url": "/video/angle-bisector-theorem-proof", "has_questions": false, "keywords": "Angle, Bisector, Theorem, Proof", "ka_url": "http://www.khanacademy.org/video/angle-bisector-theorem-proof", "duration": 515, "translated_title": "Angle bisector theorem proof", "translated_description_html": "What the angle bisector theorem is and its proof", "id": "309317056", "description_html": "What the angle bisector theorem is and its proof", "title": "Angle bisector theorem proof", "progress_key": "v309317056", "edit_slug": "edit/v/309317056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What the angle bisector theorem is and its proof", "extra_properties": null, "node_slug": "v/angle-bisector-theorem-proof", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-13T10:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TpIBLnRAslI.mp4/TpIBLnRAslI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TpIBLnRAslI.mp4/TpIBLnRAslI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TpIBLnRAslI.m3u8/TpIBLnRAslI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TpIBLnRAslI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v309317056", "sha": "4a2fe21fc1753b7fca68e20c80e422cc8da65bb7", "translated_description": "What the angle bisector theorem is and its proof", "image_url": "https://img.youtube.com/vi/TpIBLnRAslI/hqdefault.jpg", "youtube_id": "TpIBLnRAslI", "content_kind": "Video", "readable_id": "angle-bisector-theorem-proof"}, {"translated_youtube_id": "PlY3e_-9JUA", "relative_url": "/video/angle-bisector-theorem-examples", "has_questions": false, "keywords": "Angle, Bisector, Theorem, Examples", "ka_url": "http://www.khanacademy.org/video/angle-bisector-theorem-examples", "duration": 184, "translated_title": "Angle bisector theorem examples", "translated_description_html": "Using the angle bisector theorem to solve for sides of a triangle", "id": "311469472", "description_html": "Using the angle bisector theorem to solve for sides of a triangle", "title": "Angle bisector theorem examples", "progress_key": "v311469472", "edit_slug": "edit/v/311469472", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the angle bisector theorem to solve for sides of a triangle", "extra_properties": null, "node_slug": "v/angle-bisector-theorem-examples", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-10-14T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PlY3e_-9JUA.mp4/PlY3e_-9JUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PlY3e_-9JUA.mp4/PlY3e_-9JUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PlY3e_-9JUA.m3u8/PlY3e_-9JUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PlY3e_-9JUA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v311469472", "sha": "f638a7e9430a59d9a369a8ad71c6061ac294fa85", "translated_description": "Using the angle bisector theorem to solve for sides of a triangle", "image_url": "https://img.youtube.com/vi/PlY3e_-9JUA/hqdefault.jpg", "youtube_id": "PlY3e_-9JUA", "content_kind": "Video", "readable_id": "angle-bisector-theorem-examples"}], "twitter_url": "", "translated_description": "This tutorial experiments with lines that divide the angles of a triangle in two (angle bisectors). As we'll prove, all three angle bisectors actually intersect at one point called the incenter (amazing!). We'll also prove that this incenter is equidistant from the sides of the triangle (even more amazing!). This allows us to create a circle centered at the incenter that is tangent to the sides of the triangle (not surprisingly called the \"incircle\").", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial experiments with lines that divide the angles of a triangle in two (angle bisectors). As we'll prove, all three angle bisectors actually intersect at one point called the incenter (amazing!). We'll also prove that this incenter is equidistant from the sides of the triangle (even more amazing!). This allows us to create a circle centered at the incenter that is tangent to the sides of the triangle (not surprisingly called the \"incircle\").", "x_pos": 0.0, "node_slug": "angle_bisectors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb63e4db", "topic_page_url": "/math/geometry/triangle-properties/angle_bisectors", "extended_slug": "math/geometry/triangle-properties/angle_bisectors", "slug": "angle_bisectors", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c7442878aec8eb6639ffdde8a06de17d7d690263", "standalone_title": "Angle bisectors", "y_pos": 0.0, "current_revision_key": "c7442878aec8eb6639ffdde8a06de17d7d690263", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/medians_centroids", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids", "translated_standalone_title": "Medians and centroids", "translated_title": "Medians and centroids", "gplus_url": "", "id": "xcc148909", "old_key_name": "n_FksitV_2qcM19aNqGd0j06qMU6sTBlEyQa3jFn", "hide": false, "title": "Medians and centroids", "child_data": [{"kind": "Video", "id": 13179266}, {"kind": "Video", "id": 13179267}, {"kind": "Video", "id": 311468473}, {"kind": "Video", "id": 311469473}, {"kind": "Video", "id": 319053662}, {"kind": "Video", "id": 319066153}], "children": [{"translated_youtube_id": "GiGLhXFBtRg", "relative_url": "/video/triangle-medians-and-centroids", "has_questions": false, "keywords": "geometry, centroid, median, CC_8_G_5", "ka_url": "http://www.khanacademy.org/video/triangle-medians-and-centroids", "duration": 539, "translated_title": "Triangle medians and centroids", "translated_description_html": "Seeing that the centroid is 2/3 of the way along every median", "id": "13179266", "description_html": "Seeing that the centroid is 2/3 of the way along every median", "title": "Triangle medians and centroids", "progress_key": "v13179266", "edit_slug": "edit/v/13179266", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing that the centroid is 2/3 of the way along every median", "extra_properties": null, "node_slug": "v/triangle-medians-and-centroids", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiGLhXFBtRg.mp4/GiGLhXFBtRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GiGLhXFBtRg.mp4/GiGLhXFBtRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GiGLhXFBtRg.m3u8/GiGLhXFBtRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GiGLhXFBtRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179266", "sha": "0f8a36d1c395f0baccd08a7b0392e11e09d023bd", "translated_description": "Seeing that the centroid is 2/3 of the way along every median", "image_url": "https://img.youtube.com/vi/GiGLhXFBtRg/hqdefault.jpg", "youtube_id": "GiGLhXFBtRg", "content_kind": "Video", "readable_id": "triangle-medians-and-centroids"}, {"translated_youtube_id": "Vc09LURoMQ8", "relative_url": "/video/triangle-medians-and-centroids--2d-proof", "has_questions": false, "keywords": "centroid, geometry, proof, median, triangle", "ka_url": "http://www.khanacademy.org/video/triangle-medians-and-centroids--2d-proof", "duration": 915, "translated_title": "Triangle medians and centroids (2D proof)", "translated_description_html": "Showing that the centroid is 2/3 of the way along a median", "id": "13179267", "description_html": "Showing that the centroid is 2/3 of the way along a median", "title": "Triangle medians and centroids (2D proof)", "progress_key": "v13179267", "edit_slug": "edit/v/13179267", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that the centroid is 2/3 of the way along a median", "extra_properties": null, "node_slug": "v/triangle-medians-and-centroids--2d-proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vc09LURoMQ8.mp4/Vc09LURoMQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vc09LURoMQ8.mp4/Vc09LURoMQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vc09LURoMQ8.m3u8/Vc09LURoMQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vc09LURoMQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179267", "sha": "81b827a00ebc18d490ed784dc633a9693b571cbb", "translated_description": "Showing that the centroid is 2/3 of the way along a median", "image_url": "https://img.youtube.com/vi/Vc09LURoMQ8/hqdefault.jpg", "youtube_id": "Vc09LURoMQ8", "content_kind": "Video", "readable_id": "triangle-medians-and-centroids--2d-proof"}, {"translated_youtube_id": "Xt4sT0fV9Pw", "relative_url": "/video/medians-divide-into-smaller-triangles-of-equal-area", "has_questions": false, "keywords": "Medians, divide, into, smaller, triangles, of, equal, area", "ka_url": "http://www.khanacademy.org/video/medians-divide-into-smaller-triangles-of-equal-area", "duration": 466, "translated_title": "Medians divide into smaller triangles of equal area", "translated_description_html": "Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well", "id": "311468473", "description_html": "Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well", "title": "Medians divide into smaller triangles of equal area", "progress_key": "v311468473", "edit_slug": "edit/v/311468473", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well", "extra_properties": null, "node_slug": "v/medians-divide-into-smaller-triangles-of-equal-area", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-14T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xt4sT0fV9Pw.mp4/Xt4sT0fV9Pw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xt4sT0fV9Pw.mp4/Xt4sT0fV9Pw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xt4sT0fV9Pw.m3u8/Xt4sT0fV9Pw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xt4sT0fV9Pw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v311468473", "sha": "21cd2d29eaf7011919a0a14b76280cc30783ff16", "translated_description": "Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well", "image_url": "https://img.youtube.com/vi/Xt4sT0fV9Pw/hqdefault.jpg", "youtube_id": "Xt4sT0fV9Pw", "content_kind": "Video", "readable_id": "medians-divide-into-smaller-triangles-of-equal-area"}, {"translated_youtube_id": "Rsi5mzEaCPw", "relative_url": "/video/exploring-medial-triangles", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/exploring-medial-triangles", "duration": 693, "translated_title": "Exploring medial triangles", "translated_description_html": "What a medial triangle is and its properties", "id": "311469473", "description_html": "What a medial triangle is and its properties", "title": "Exploring medial triangles", "progress_key": "v311469473", "edit_slug": "edit/v/311469473", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What a medial triangle is and its properties", "extra_properties": null, "node_slug": "v/exploring-medial-triangles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-10-14T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rsi5mzEaCPw.mp4/Rsi5mzEaCPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rsi5mzEaCPw.mp4/Rsi5mzEaCPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rsi5mzEaCPw.m3u8/Rsi5mzEaCPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rsi5mzEaCPw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v311469473", "sha": "21fb2a2f7edb20ece52d9f643b81847b9830246d", "translated_description": "What a medial triangle is and its properties", "image_url": "https://img.youtube.com/vi/Rsi5mzEaCPw/hqdefault.jpg", "youtube_id": "Rsi5mzEaCPw", "content_kind": "Video", "readable_id": "exploring-medial-triangles"}, {"translated_youtube_id": "i0VS3eEGjiQ", "relative_url": "/video/proving-that-the-centroid-is-2-3rds-along-the-median", "has_questions": false, "keywords": "geometry, triangle", "ka_url": "http://www.khanacademy.org/video/proving-that-the-centroid-is-2-3rds-along-the-median", "duration": 416, "translated_title": "Proving that the centroid is 2-3rds along the median", "translated_description_html": "Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)", "id": "319053662", "description_html": "Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)", "title": "Proving that the centroid is 2-3rds along the median", "progress_key": "v319053662", "edit_slug": "edit/v/319053662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)", "extra_properties": null, "node_slug": "v/proving-that-the-centroid-is-2-3rds-along-the-median", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-18T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i0VS3eEGjiQ.mp4/i0VS3eEGjiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i0VS3eEGjiQ.mp4/i0VS3eEGjiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i0VS3eEGjiQ.m3u8/i0VS3eEGjiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i0VS3eEGjiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v319053662", "sha": "d9266b238e3e4d35da99f2855b937eedf55d37a9", "translated_description": "Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)", "image_url": "https://img.youtube.com/vi/i0VS3eEGjiQ/hqdefault.jpg", "youtube_id": "i0VS3eEGjiQ", "content_kind": "Video", "readable_id": "proving-that-the-centroid-is-2-3rds-along-the-median"}, {"translated_youtube_id": "k45QTFCHSVs", "relative_url": "/video/median-centroid-right-triangle-example", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/median-centroid-right-triangle-example", "duration": 540, "translated_title": "Median centroid right triangle example", "translated_description_html": "Example involving properties of medians", "id": "319066153", "description_html": "Example involving properties of medians", "title": "Median centroid right triangle example", "progress_key": "v319066153", "edit_slug": "edit/v/319066153", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example involving properties of medians", "extra_properties": null, "node_slug": "v/median-centroid-right-triangle-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-18T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k45QTFCHSVs.mp4/k45QTFCHSVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k45QTFCHSVs.mp4/k45QTFCHSVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k45QTFCHSVs.m3u8/k45QTFCHSVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k45QTFCHSVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v319066153", "sha": "a271e1759e9d8d398739adb8ab513a4186d62dd4", "translated_description": "Example involving properties of medians", "image_url": "https://img.youtube.com/vi/k45QTFCHSVs/hqdefault.jpg", "youtube_id": "k45QTFCHSVs", "content_kind": "Video", "readable_id": "median-centroid-right-triangle-example"}], "twitter_url": "", "translated_description": "You've explored perpendicular bisectors and angle bisectors, but you're craving to study lines that intersect the vertices of a a triangle AND bisect the opposite sides. Well, you're luck because that (medians) is what we are going to study in this tutorial. We'll prove here that the medians intersect at a unique point (amazing!) called the centroid and divide the triangle into six mini triangles of equal area (even more amazing!). The centroid also always happens to divide all the medians in segments with lengths at a 1:2 ration (stupendous!).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've explored perpendicular bisectors and angle bisectors, but you're craving to study lines that intersect the vertices of a a triangle AND bisect the opposite sides. Well, you're luck because that (medians) is what we are going to study in this tutorial. We'll prove here that the medians intersect at a unique point (amazing!) called the centroid and divide the triangle into six mini triangles of equal area (even more amazing!). The centroid also always happens to divide all the medians in segments with lengths at a 1:2 ration (stupendous!).", "x_pos": 0.0, "node_slug": "medians_centroids", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcc148909", "topic_page_url": "/math/geometry/triangle-properties/medians_centroids", "extended_slug": "math/geometry/triangle-properties/medians_centroids", "slug": "medians_centroids", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8edf42e06005645f06ee068c5bd9eaf895cfb638", "standalone_title": "Medians and centroids", "y_pos": 0.0, "current_revision_key": "8edf42e06005645f06ee068c5bd9eaf895cfb638", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/altitudes", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/altitudes", "translated_standalone_title": "Altitudes", "translated_title": "Altitudes", "gplus_url": "", "id": "x9448352a", "old_key_name": "YCgpvkdGwhLS845SbMZZ3pGwoKJjfiKwlhtTP-Yp", "hide": false, "title": "Altitudes", "child_data": [{"kind": "Video", "id": 319066154}, {"kind": "Video", "id": 337196124}], "children": [{"translated_youtube_id": "aGwT2-RERXY", "relative_url": "/video/proof---triangle-altitudes-are-concurrent--orthocenter", "has_questions": false, "keywords": "geometry, perpendicular, bisectors", "ka_url": "http://www.khanacademy.org/video/proof---triangle-altitudes-are-concurrent--orthocenter", "duration": 601, "translated_title": "Proof: Triangle altitudes are concurrent (orthocenter)", "translated_description_html": "Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).", "id": "319066154", "description_html": "Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).", "title": "Proof: Triangle altitudes are concurrent (orthocenter)", "progress_key": "v319066154", "edit_slug": "edit/v/319066154", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).", "extra_properties": null, "node_slug": "v/proof---triangle-altitudes-are-concurrent--orthocenter", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-18T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aGwT2-RERXY.mp4/aGwT2-RERXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aGwT2-RERXY.mp4/aGwT2-RERXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aGwT2-RERXY.m3u8/aGwT2-RERXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aGwT2-RERXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v319066154", "sha": "2d30058c625c4b7872e8122495ef305bd9d1c58a", "translated_description": "Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).", "image_url": "https://img.youtube.com/vi/aGwT2-RERXY/hqdefault.jpg", "youtube_id": "aGwT2-RERXY", "content_kind": "Video", "readable_id": "proof---triangle-altitudes-are-concurrent--orthocenter"}, {"translated_youtube_id": "pDZIvyeqX1o", "relative_url": "/video/common-orthocenter-and-centroid", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/common-orthocenter-and-centroid", "duration": 385, "translated_title": "Common orthocenter and centroid", "translated_description_html": "Showing that a triangle with the same point as the orthocenter and centroid is equilateral", "id": "337196124", "description_html": "Showing that a triangle with the same point as the orthocenter and centroid is equilateral", "title": "Common orthocenter and centroid", "progress_key": "v337196124", "edit_slug": "edit/v/337196124", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that a triangle with the same point as the orthocenter and centroid is equilateral", "extra_properties": null, "node_slug": "v/common-orthocenter-and-centroid", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-26T10:00:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pDZIvyeqX1o.mp4/pDZIvyeqX1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pDZIvyeqX1o.mp4/pDZIvyeqX1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pDZIvyeqX1o.m3u8/pDZIvyeqX1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pDZIvyeqX1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v337196124", "sha": "de85001b0b7127fe051daa706853ba59452de345", "translated_description": "Showing that a triangle with the same point as the orthocenter and centroid is equilateral", "image_url": "https://img.youtube.com/vi/pDZIvyeqX1o/hqdefault.jpg", "youtube_id": "pDZIvyeqX1o", "content_kind": "Video", "readable_id": "common-orthocenter-and-centroid"}], "twitter_url": "", "translated_description": "Ok. You knew triangles where cool, but you never imagined they were this cool! Well, this tutorial will take things even further. After perpendicular bisectors, angle bisector and medians, the only other thing (that I can think of) is a line that intersects a vertex and the opposite side (called an altitude). As we'll see, these are just as cool as the rest and, as you may have guessed, intersect at a unique point called the orthocenter (unbelievable!).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Ok. You knew triangles where cool, but you never imagined they were this cool! Well, this tutorial will take things even further. After perpendicular bisectors, angle bisector and medians, the only other thing (that I can think of) is a line that intersects a vertex and the opposite side (called an altitude). As we'll see, these are just as cool as the rest and, as you may have guessed, intersect at a unique point called the orthocenter (unbelievable!).", "x_pos": 0.0, "node_slug": "altitudes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9448352a", "topic_page_url": "/math/geometry/triangle-properties/altitudes", "extended_slug": "math/geometry/triangle-properties/altitudes", "slug": "altitudes", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1546f936dd356104f8adb60d110b200185276699", "standalone_title": "Altitudes", "y_pos": 0.0, "current_revision_key": "1546f936dd356104f8adb60d110b200185276699", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/triangle_property_review", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review", "translated_standalone_title": "Bringing it all together", "translated_title": "Bringing it all together", "gplus_url": "", "id": "xa94b3511", "old_key_name": "gxDVB8NvBX4XjHt80YoM-qmS9qiHw0aZhMIinCrz", "hide": false, "title": "Bringing it all together", "child_data": [{"kind": "Video", "id": 326408404}, {"kind": "Video", "id": 326395669}, {"kind": "Video", "id": 334522802}], "children": [{"translated_youtube_id": "KUhdMbx5ges", "relative_url": "/video/review-of-triangle-properties", "has_questions": false, "keywords": "orthocenter, circumcenter, centroid", "ka_url": "http://www.khanacademy.org/video/review-of-triangle-properties", "duration": 597, "translated_title": "Review of triangle properties", "translated_description_html": "Comparing perpendicular bisectors to angle bisectors to medians to altitudes", "id": "326408404", "description_html": "Comparing perpendicular bisectors to angle bisectors to medians to altitudes", "title": "Review of triangle properties", "progress_key": "v326408404", "edit_slug": "edit/v/326408404", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing perpendicular bisectors to angle bisectors to medians to altitudes", "extra_properties": null, "node_slug": "v/review-of-triangle-properties", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-21T10:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KUhdMbx5ges.mp4/KUhdMbx5ges.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KUhdMbx5ges.mp4/KUhdMbx5ges.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KUhdMbx5ges.m3u8/KUhdMbx5ges.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KUhdMbx5ges&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v326408404", "sha": "bb909248a2968fb63bc04c4b41d8e2b739e9558f", "translated_description": "Comparing perpendicular bisectors to angle bisectors to medians to altitudes", "image_url": "https://img.youtube.com/vi/KUhdMbx5ges/hqdefault.jpg", "youtube_id": "KUhdMbx5ges", "content_kind": "Video", "readable_id": "review-of-triangle-properties"}, {"translated_youtube_id": "tUqyJgmGY7k", "relative_url": "/video/euler-line", "has_questions": false, "keywords": "nine, point, circle", "ka_url": "http://www.khanacademy.org/video/euler-line", "duration": 372, "translated_title": "Euler line", "translated_description_html": "The magic and mystery of the Euler Line", "id": "326395669", "description_html": "The magic and mystery of the Euler Line", "title": "Euler line", "progress_key": "v326395669", "edit_slug": "edit/v/326395669", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The magic and mystery of the Euler Line", "extra_properties": null, "node_slug": "v/euler-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-21T10:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tUqyJgmGY7k.mp4/tUqyJgmGY7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tUqyJgmGY7k.mp4/tUqyJgmGY7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tUqyJgmGY7k.m3u8/tUqyJgmGY7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tUqyJgmGY7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v326395669", "sha": "d84a4f1a1f700f02109aabc826e31a4dd8cc94e7", "translated_description": "The magic and mystery of the Euler Line", "image_url": "https://img.youtube.com/vi/tUqyJgmGY7k/hqdefault.jpg", "youtube_id": "tUqyJgmGY7k", "content_kind": "Video", "readable_id": "euler-line"}, {"translated_youtube_id": "t_EgAi574sM", "relative_url": "/video/euler-s-line-proof", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/euler-s-line-proof", "duration": 590, "translated_title": "Euler's line proof", "translated_description_html": "Proving the somewhat mystical result that the circumcenter, centroid and orthocenter", "id": "334522802", "description_html": "Proving the somewhat mystical result that the circumcenter, centroid and orthocenter", "title": "Euler's line proof", "progress_key": "v334522802", "edit_slug": "edit/v/334522802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving the somewhat mystical result that the circumcenter, centroid and orthocenter", "extra_properties": null, "node_slug": "v/euler-s-line-proof", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-25T10:00:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t_EgAi574sM.mp4/t_EgAi574sM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t_EgAi574sM.mp4/t_EgAi574sM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t_EgAi574sM.m3u8/t_EgAi574sM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t_EgAi574sM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v334522802", "sha": "5612f0cc377ff8ebe20d1fb03801561fd501b9e2", "translated_description": "Proving the somewhat mystical result that the circumcenter, centroid and orthocenter", "image_url": "https://img.youtube.com/vi/t_EgAi574sM/hqdefault.jpg", "youtube_id": "t_EgAi574sM", "content_kind": "Video", "readable_id": "euler-s-line-proof"}], "twitter_url": "", "translated_description": "This tutorial brings together all of the major ideas in this topic. First, it starts off with a light-weight review of the various ideas in the topic. It then goes into a heavy-weight proof of a truly, truly, truly amazing idea. It was amazing enough that orthocenters, circumcenters, and centroids exist , but we'll see in the videos on Euler lines that they sit on the same line themselves (incenters must be feeling lonely)!!!!!!!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial brings together all of the major ideas in this topic. First, it starts off with a light-weight review of the various ideas in the topic. It then goes into a heavy-weight proof of a truly, truly, truly amazing idea. It was amazing enough that orthocenters, circumcenters, and centroids exist , but we'll see in the videos on Euler lines that they sit on the same line themselves (incenters must be feeling lonely)!!!!!!!", "x_pos": 0.0, "node_slug": "triangle_property_review", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa94b3511", "topic_page_url": "/math/geometry/triangle-properties/triangle_property_review", "extended_slug": "math/geometry/triangle-properties/triangle_property_review", "slug": "triangle_property_review", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7c2d7f643c037b764c8d26154ea304360e0c08f8", "standalone_title": "Bringing it all together", "y_pos": 0.0, "current_revision_key": "7c2d7f643c037b764c8d26154ea304360e0c08f8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/triangle-properties/geometric-constructions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/triangle-properties/geometric-constructions", "translated_standalone_title": "Geometric constructions", "translated_title": "Geometric constructions", "gplus_url": "", "id": "x2b70434f", "old_key_name": null, "hide": false, "title": "Geometric constructions", "child_data": [{"kind": "Video", "id": "x14f9639b"}, {"kind": "Video", "id": "xb27e19ab"}, {"kind": "Video", "id": "x999a7ffd"}, {"kind": "Exercise", "id": 1439850811}], "children": [{"translated_youtube_id": "WR2R_wrdEVY", "relative_url": "/video/constructing-a-perpendicular-bisector-using-a-compass-and-straightedge", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-a-perpendicular-bisector-using-a-compass-and-straightedge", "duration": 86, "translated_title": "Constructing a perpendicular bisector using a compass and straightedge", "translated_description_html": "", "id": "x14f9639b", "description_html": "", "title": "Constructing a perpendicular bisector using a compass and straightedge", "progress_key": "vx14f9639b", "edit_slug": "edit/v/x14f9639b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-a-perpendicular-bisector-using-a-compass-and-straightedge", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-15T15:19:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WR2R_wrdEVY.mp4/WR2R_wrdEVY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WR2R_wrdEVY.mp4/WR2R_wrdEVY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WR2R_wrdEVY.m3u8/WR2R_wrdEVY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WR2R_wrdEVY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14f9639b", "sha": "68ae9c2dce6cfeac4f8257564ba439b9fb41e61c", "translated_description": "", "image_url": "https://img.youtube.com/vi/WR2R_wrdEVY/hqdefault.jpg", "youtube_id": "WR2R_wrdEVY", "content_kind": "Video", "readable_id": "constructing-a-perpendicular-bisector-using-a-compass-and-straightedge"}, {"translated_youtube_id": "nM-O8llUdwg", "relative_url": "/video/constructing-a-perpendicular-line-using-a-compass-and-straightedge", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-a-perpendicular-line-using-a-compass-and-straightedge", "duration": 72, "translated_title": "Constructing a perpendicular line using a compass and straightedge", "translated_description_html": "", "id": "xb27e19ab", "description_html": "", "title": "Constructing a perpendicular line using a compass and straightedge", "progress_key": "vxb27e19ab", "edit_slug": "edit/v/xb27e19ab", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-a-perpendicular-line-using-a-compass-and-straightedge", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-15T15:19:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nM-O8llUdwg.mp4/nM-O8llUdwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nM-O8llUdwg.mp4/nM-O8llUdwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nM-O8llUdwg.m3u8/nM-O8llUdwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nM-O8llUdwg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb27e19ab", "sha": "d21698239a7829d0da0846140e2edab7d87cd317", "translated_description": "", "image_url": "https://img.youtube.com/vi/nM-O8llUdwg/hqdefault.jpg", "youtube_id": "nM-O8llUdwg", "content_kind": "Video", "readable_id": "constructing-a-perpendicular-line-using-a-compass-and-straightedge"}, {"translated_youtube_id": "KNr52iFk7n4", "relative_url": "/video/constructing-an-angle-bisector-using-a-compass-and-straightedge", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/constructing-an-angle-bisector-using-a-compass-and-straightedge", "duration": 137, "translated_title": "Constructing an angle bisector using a compass and straightedge", "translated_description_html": "", "id": "x999a7ffd", "description_html": "", "title": "Constructing an angle bisector using a compass and straightedge", "progress_key": "vx999a7ffd", "edit_slug": "edit/v/x999a7ffd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/constructing-an-angle-bisector-using-a-compass-and-straightedge", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-15T15:19:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KNr52iFk7n4.mp4/KNr52iFk7n4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KNr52iFk7n4.mp4/KNr52iFk7n4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KNr52iFk7n4.m3u8/KNr52iFk7n4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KNr52iFk7n4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx999a7ffd", "sha": "2319a570b29759328a27c331ce089185670c8ee7", "translated_description": "", "image_url": "https://img.youtube.com/vi/KNr52iFk7n4/hqdefault.jpg", "youtube_id": "KNr52iFk7n4", "content_kind": "Video", "readable_id": "constructing-an-angle-bisector-using-a-compass-and-straightedge"}], "twitter_url": "", "translated_description": "We now have fancy computers to help us perfectly draw things, but have you ever wondered how people drew perfect circles or angle bisectors or perpendicular bisectors back in the day. Well this tutorial will have you doing just as your grandparents did (actually, a little different since you'll still be using a computer to draw circles and lines with a virtual compass and straightedge).", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We now have fancy computers to help us perfectly draw things, but have you ever wondered how people drew perfect circles or angle bisectors or perpendicular bisectors back in the day. Well this tutorial will have you doing just as your grandparents did (actually, a little different since you'll still be using a computer to draw circles and lines with a virtual compass and straightedge).", "x_pos": 0.0, "node_slug": "geometric-constructions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T15:22:28Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2b70434f", "topic_page_url": "/math/geometry/triangle-properties/geometric-constructions", "extended_slug": "math/geometry/triangle-properties/geometric-constructions", "slug": "geometric-constructions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "92a5753d929bd2004d656b627449c72b963e4d53", "standalone_title": "Geometric constructions", "y_pos": 0.0, "current_revision_key": "92a5753d929bd2004d656b627449c72b963e4d53", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "You probably like triangles. You think they are useful. They show up a lot. What you'll see in this topic is that they are far more magical and mystical than you ever imagined!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "You probably like triangles. You think they are useful. They show up a lot. What you'll see in this topic is that they are far more magical and mystical than you ever imagined!", "x_pos": -19.0, "node_slug": "triangle-properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T15:22:28Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ca5999e", "topic_page_url": "/math/geometry/triangle-properties", "extended_slug": "math/geometry/triangle-properties", "slug": "triangle-properties", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e7ec8ce392a6ae167ff09994bc37ee6f401ba107", "standalone_title": "Special properties and parts of triangles", "y_pos": 31.0, "current_revision_key": "e7ec8ce392a6ae167ff09994bc37ee6f401ba107", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/quadrilaterals-and-polygons-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/quadrilaterals-and-polygons", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons", "translated_standalone_title": "Quadrilaterals", "translated_title": "Quadrilaterals", "gplus_url": "", "id": "xbb01769c", "old_key_name": "3ZiWU1FbU06Aa4imWPVWEN7PV9Um7yXF04CvA8lB", "hide": false, "title": "Quadrilaterals", "child_data": [{"kind": "Video", "id": 339557900}, {"kind": "Video", "id": 370305272}, {"kind": "Video", "id": "x1b577232"}, {"kind": "Video", "id": "x819465b4"}, {"kind": "Exercise", "id": 251616813}, {"kind": "Video", "id": 348974659}, {"kind": "Video", "id": 348974660}, {"kind": "Video", "id": 348974657}, {"kind": "Exercise", "id": 251658143}, {"kind": "Video", "id": 348974658}, {"kind": "Video", "id": 351468822}, {"kind": "Video", "id": 351468823}, {"kind": "Video", "id": 897531450}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 13179268}], "children": [{"translated_youtube_id": "Ka82QC4QvGA", "relative_url": "/video/quadrilateral-overview", "has_questions": false, "keywords": "rhombus", "ka_url": "http://www.khanacademy.org/video/quadrilateral-overview", "duration": 504, "translated_title": "Quadrilateral overview", "translated_description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "id": "339557900", "description_html": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "title": "Quadrilateral overview", "progress_key": "v339557900", "edit_slug": "edit/v/339557900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "extra_properties": null, "node_slug": "v/quadrilateral-overview", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-27T10:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.mp4/Ka82QC4QvGA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ka82QC4QvGA.m3u8/Ka82QC4QvGA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ka82QC4QvGA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v339557900", "sha": "c9e4582384cde52e5baeec7aff1f186ffd70d735", "translated_description": "Basics of quadrilaterals including concave, convex ones. Parallelograms, rectangles, rhombi and squares", "image_url": "https://img.youtube.com/vi/Ka82QC4QvGA/hqdefault.jpg", "youtube_id": "Ka82QC4QvGA", "content_kind": "Video", "readable_id": "quadrilateral-overview"}, {"translated_youtube_id": "5CeBlu260Rw", "relative_url": "/video/quadrilateral-properties", "has_questions": false, "keywords": "u07_l2_t1_we1, Quadrilateral, Properties", "ka_url": "http://www.khanacademy.org/video/quadrilateral-properties", "duration": 307, "translated_title": "Quadrilateral properties", "translated_description_html": "Quadrilateral Properties", "id": "370305272", "description_html": "Quadrilateral Properties", "title": "Quadrilateral properties", "progress_key": "v370305272", "edit_slug": "edit/v/370305272", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrilateral Properties", "extra_properties": null, "node_slug": "v/quadrilateral-properties", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.m3u8/5CeBlu260Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5CeBlu260Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305272", "sha": "e88657ada96a433ea5639887927342e91d0819ea", "translated_description": "Quadrilateral Properties", "image_url": "https://img.youtube.com/vi/5CeBlu260Rw/hqdefault.jpg", "youtube_id": "5CeBlu260Rw", "content_kind": "Video", "readable_id": "quadrilateral-properties"}, {"translated_youtube_id": "inlMrf2d-k4", "relative_url": "/video/kites-as-a-mathematical-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kites-as-a-mathematical-shape", "duration": 338, "translated_title": "Kites as a mathematical shape", "translated_description_html": "", "id": "x1b577232", "description_html": "", "title": "Kites as a mathematical shape", "progress_key": "vx1b577232", "edit_slug": "edit/v/x1b577232", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kites-as-a-mathematical-shape", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-22T00:22:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.mp4/inlMrf2d-k4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/inlMrf2d-k4.m3u8/inlMrf2d-k4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=inlMrf2d-k4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1b577232", "sha": "2221bd5d42f07468f9469c04d945732bb791dfba", "translated_description": "", "image_url": "https://img.youtube.com/vi/inlMrf2d-k4/hqdefault.jpg", "youtube_id": "inlMrf2d-k4", "content_kind": "Video", "readable_id": "kites-as-a-mathematical-shape"}, {"translated_youtube_id": "wPZIa3SjPF0", "relative_url": "/video/quadrilateral-types-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quadrilateral-types-exercise", "duration": 169, "translated_title": "Quadrilateral types exercise", "translated_description_html": "", "id": "x819465b4", "description_html": "", "title": "Quadrilateral types exercise", "progress_key": "vx819465b4", "edit_slug": "edit/v/x819465b4", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/quadrilateral-types-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-09-22T00:22:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.mp4/wPZIa3SjPF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wPZIa3SjPF0.m3u8/wPZIa3SjPF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wPZIa3SjPF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx819465b4", "sha": "c825f8c8a1977242d8a8f3b3e6743cac348b8b3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/wPZIa3SjPF0/hqdefault.jpg", "youtube_id": "wPZIa3SjPF0", "content_kind": "Video", "readable_id": "quadrilateral-types-exercise"}, {"translated_youtube_id": "LhrGS4-Dd9I", "relative_url": "/video/proof---opposite-sides-of-parallelogram-congruent", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/proof---opposite-sides-of-parallelogram-congruent", "duration": 510, "translated_title": "Proof: Opposite sides of parallelogram congruent", "translated_description_html": "Proving that a figure is a parallelogram if and only if opposite sides are congruent", "id": "348974659", "description_html": "Proving that a figure is a parallelogram if and only if opposite sides are congruent", "title": "Proof: Opposite sides of parallelogram congruent", "progress_key": "v348974659", "edit_slug": "edit/v/348974659", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving that a figure is a parallelogram if and only if opposite sides are congruent", "extra_properties": null, "node_slug": "v/proof---opposite-sides-of-parallelogram-congruent", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-01T10:03:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LhrGS4-Dd9I.mp4/LhrGS4-Dd9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LhrGS4-Dd9I.mp4/LhrGS4-Dd9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LhrGS4-Dd9I.m3u8/LhrGS4-Dd9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LhrGS4-Dd9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348974659", "sha": "7409e6278d45e5d650b362a59dce004415aba28e", "translated_description": "Proving that a figure is a parallelogram if and only if opposite sides are congruent", "image_url": "https://img.youtube.com/vi/LhrGS4-Dd9I/hqdefault.jpg", "youtube_id": "LhrGS4-Dd9I", "content_kind": "Video", "readable_id": "proof---opposite-sides-of-parallelogram-congruent"}, {"translated_youtube_id": "TErJ-Yr67BI", "relative_url": "/video/proof---diagonals-of-a-parallelogram-bisect-each-other", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/proof---diagonals-of-a-parallelogram-bisect-each-other", "duration": 546, "translated_title": "Proof: Diagonals of a parallelogram bisect each other", "translated_description_html": "Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other", "id": "348974660", "description_html": "Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other", "title": "Proof: Diagonals of a parallelogram bisect each other", "progress_key": "v348974660", "edit_slug": "edit/v/348974660", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other", "extra_properties": null, "node_slug": "v/proof---diagonals-of-a-parallelogram-bisect-each-other", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-01T10:03:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TErJ-Yr67BI.mp4/TErJ-Yr67BI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TErJ-Yr67BI.mp4/TErJ-Yr67BI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TErJ-Yr67BI.m3u8/TErJ-Yr67BI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TErJ-Yr67BI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348974660", "sha": "e36216dd551061ea2e114506d3cea16fc9d33081", "translated_description": "Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other", "image_url": "https://img.youtube.com/vi/TErJ-Yr67BI/hqdefault.jpg", "youtube_id": "TErJ-Yr67BI", "content_kind": "Video", "readable_id": "proof---diagonals-of-a-parallelogram-bisect-each-other"}, {"translated_youtube_id": "oIV1zM8qlpk", "relative_url": "/video/proof---opposite-angles-of-parallelogram-congruent", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/proof---opposite-angles-of-parallelogram-congruent", "duration": 248, "translated_title": "Proof: Opposite angles of parallelogram congruent", "translated_description_html": "Showing that opposite angles of a parallelogram are congruent", "id": "348974657", "description_html": "Showing that opposite angles of a parallelogram are congruent", "title": "Proof: Opposite angles of parallelogram congruent", "progress_key": "v348974657", "edit_slug": "edit/v/348974657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that opposite angles of a parallelogram are congruent", "extra_properties": null, "node_slug": "v/proof---opposite-angles-of-parallelogram-congruent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-01T10:03:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oIV1zM8qlpk.mp4/oIV1zM8qlpk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oIV1zM8qlpk.mp4/oIV1zM8qlpk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oIV1zM8qlpk.m3u8/oIV1zM8qlpk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oIV1zM8qlpk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348974657", "sha": "79acf106e3386a77e0ef914aa98e1903525a9024", "translated_description": "Showing that opposite angles of a parallelogram are congruent", "image_url": "https://img.youtube.com/vi/oIV1zM8qlpk/hqdefault.jpg", "youtube_id": "oIV1zM8qlpk", "content_kind": "Video", "readable_id": "proof---opposite-angles-of-parallelogram-congruent"}, {"translated_youtube_id": "GDcVdBAnBdU", "relative_url": "/video/proof---rhombus-diagonals-are-perpendicular-bisectors", "has_questions": false, "keywords": "Proof, Rhombus, Diagonals, are, Perpendicular, Bisectors", "ka_url": "http://www.khanacademy.org/video/proof---rhombus-diagonals-are-perpendicular-bisectors", "duration": 244, "translated_title": "Proof: Rhombus diagonals are perpendicular bisectors", "translated_description_html": "Proving that the diagonals of a rhombus are perpendicular", "id": "348974658", "description_html": "Proving that the diagonals of a rhombus are perpendicular", "title": "Proof: Rhombus diagonals are perpendicular bisectors", "progress_key": "v348974658", "edit_slug": "edit/v/348974658", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving that the diagonals of a rhombus are perpendicular", "extra_properties": null, "node_slug": "v/proof---rhombus-diagonals-are-perpendicular-bisectors", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-01T10:03:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GDcVdBAnBdU.mp4/GDcVdBAnBdU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GDcVdBAnBdU.mp4/GDcVdBAnBdU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GDcVdBAnBdU.m3u8/GDcVdBAnBdU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GDcVdBAnBdU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348974658", "sha": "be509eb918f313523edc39e72125937a9fe12d8c", "translated_description": "Proving that the diagonals of a rhombus are perpendicular", "image_url": "https://img.youtube.com/vi/GDcVdBAnBdU/hqdefault.jpg", "youtube_id": "GDcVdBAnBdU", "content_kind": "Video", "readable_id": "proof---rhombus-diagonals-are-perpendicular-bisectors"}, {"translated_youtube_id": "3FManXv4mZM", "relative_url": "/video/proof---rhombus-area-half-product-of-diagonal-length", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/proof---rhombus-area-half-product-of-diagonal-length", "duration": 307, "translated_title": "Proof: Rhombus area half product of diagonal length", "translated_description_html": "Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals", "id": "351468822", "description_html": "Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals", "title": "Proof: Rhombus area half product of diagonal length", "progress_key": "v351468822", "edit_slug": "edit/v/351468822", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals", "extra_properties": null, "node_slug": "v/proof---rhombus-area-half-product-of-diagonal-length", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-02T10:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3FManXv4mZM.mp4/3FManXv4mZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3FManXv4mZM.mp4/3FManXv4mZM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3FManXv4mZM.m3u8/3FManXv4mZM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3FManXv4mZM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351468822", "sha": "94b6e699e28116090d45b0541ab9091e26f20b32", "translated_description": "Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals", "image_url": "https://img.youtube.com/vi/3FManXv4mZM/hqdefault.jpg", "youtube_id": "3FManXv4mZM", "content_kind": "Video", "readable_id": "proof---rhombus-area-half-product-of-diagonal-length"}, {"translated_youtube_id": "tFhBAeZVTMw", "relative_url": "/video/area-of-a-parallelogram", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/area-of-a-parallelogram", "duration": 342, "translated_title": "Area of a parallelogram", "translated_description_html": "Showing that the area of a parallelogram is base times height", "id": "351468823", "description_html": "Showing that the area of a parallelogram is base times height", "title": "Area of a parallelogram", "progress_key": "v351468823", "edit_slug": "edit/v/351468823", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the area of a parallelogram is base times height", "extra_properties": null, "node_slug": "v/area-of-a-parallelogram", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-02T10:01:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.mp4/tFhBAeZVTMw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tFhBAeZVTMw.m3u8/tFhBAeZVTMw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tFhBAeZVTMw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351468823", "sha": "dfedfb879e6ebd91fce999e93ff954ce16bf57c8", "translated_description": "Showing that the area of a parallelogram is base times height", "image_url": "https://img.youtube.com/vi/tFhBAeZVTMw/hqdefault.jpg", "youtube_id": "tFhBAeZVTMw", "content_kind": "Video", "readable_id": "area-of-a-parallelogram"}, {"translated_youtube_id": "6dIMIBO_2mc", "relative_url": "/video/whether-a-special-quadrilateral-can-exist", "has_questions": false, "keywords": "parallel, lines, transversal", "ka_url": "http://www.khanacademy.org/video/whether-a-special-quadrilateral-can-exist", "duration": 308, "translated_title": "Whether a special quadrilateral can exist", "translated_description_html": "Proving whether a special quadrilateral can exist", "id": "897531450", "description_html": "Proving whether a special quadrilateral can exist", "title": "Whether a special quadrilateral can exist", "progress_key": "v897531450", "edit_slug": "edit/v/897531450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proving whether a special quadrilateral can exist", "extra_properties": null, "node_slug": "v/whether-a-special-quadrilateral-can-exist", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-11T21:36:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6dIMIBO_2mc.mp4/6dIMIBO_2mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6dIMIBO_2mc.mp4/6dIMIBO_2mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6dIMIBO_2mc.m3u8/6dIMIBO_2mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6dIMIBO_2mc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897531450", "sha": "8ad369bdf4785e418e24ea477be67cfacc251d48", "translated_description": "Proving whether a special quadrilateral can exist", "image_url": "https://img.youtube.com/vi/6dIMIBO_2mc/hqdefault.jpg", "youtube_id": "6dIMIBO_2mc", "content_kind": "Video", "readable_id": "whether-a-special-quadrilateral-can-exist"}, {"translated_youtube_id": "_QTFeOvPcbY", "relative_url": "/video/rhombus-diagonals", "has_questions": false, "keywords": "rhombus, diagonals, perpendicular, bisectors, CC_3_G_1, CC_3_G_2, CC_5_G_3, CC_6_G_1", "ka_url": "http://www.khanacademy.org/video/rhombus-diagonals", "duration": 278, "translated_title": "Rhombus diagonals", "translated_description_html": "Proof that the diagonals of a rhombus are perpendicular bisectors of each other", "id": "13179268", "description_html": "Proof that the diagonals of a rhombus are perpendicular bisectors of each other", "title": "Rhombus diagonals", "progress_key": "v13179268", "edit_slug": "edit/v/13179268", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof that the diagonals of a rhombus are perpendicular bisectors of each other", "extra_properties": null, "node_slug": "v/rhombus-diagonals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_QTFeOvPcbY.mp4/_QTFeOvPcbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_QTFeOvPcbY.mp4/_QTFeOvPcbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_QTFeOvPcbY.m3u8/_QTFeOvPcbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_QTFeOvPcbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179268", "sha": "fa401aeb45e53935dbc7febe3038bc580345a42d", "translated_description": "Proof that the diagonals of a rhombus are perpendicular bisectors of each other", "image_url": "https://img.youtube.com/vi/_QTFeOvPcbY/hqdefault.jpg", "youtube_id": "_QTFeOvPcbY", "content_kind": "Video", "readable_id": "rhombus-diagonals"}], "twitter_url": "", "translated_description": "Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!", "x_pos": -13.5, "node_slug": "quadrilaterals-and-polygons", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb01769c", "topic_page_url": "/math/geometry/quadrilaterals-and-polygons", "extended_slug": "math/geometry/quadrilaterals-and-polygons", "slug": "quadrilaterals-and-polygons", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aec96db577d73942ead29c3093a8c3a5986b77c0", "standalone_title": "Quadrilaterals", "y_pos": 33.5, "current_revision_key": "aec96db577d73942ead29c3093a8c3a5986b77c0", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/circles-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/circles", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/circles", "translated_standalone_title": "Circles", "translated_title": "Circles", "gplus_url": "", "id": "x021a201c", "old_key_name": "7S44AwNUape623eVyjSKwyDO830usHtTx-DGqOd_", "hide": false, "title": "Circles", "child_data": [{"kind": "Video", "id": 261106564}, {"kind": "Video", "id": 24957}, {"kind": "Video", "id": "xb22c18d7"}, {"kind": "Video", "id": "x99baffff"}, {"kind": "Exercise", "id": 899036662}, {"kind": "Video", "id": 370305280}, {"kind": "Video", "id": 370305273}, {"kind": "Video", "id": "x44915f06"}, {"kind": "Exercise", "id": 899081489}, {"kind": "Video", "id": 24977}, {"kind": "Exercise", "id": 333650286}, {"kind": "Video", "id": 298420732}, {"kind": "Video", "id": 24981}, {"kind": "Video", "id": 24979}], "children": [{"translated_youtube_id": "U2W7HPyC0cM", "relative_url": "/video/language-and-notation-of-the-circle", "has_questions": false, "keywords": "geometry, locus, circle", "ka_url": "http://www.khanacademy.org/video/language-and-notation-of-the-circle", "duration": 672, "translated_title": "Language and notation of the circle", "translated_description_html": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "id": "261106564", "description_html": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "title": "Language and notation of the circle", "progress_key": "v261106564", "edit_slug": "edit/v/261106564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "extra_properties": null, "node_slug": "v/language-and-notation-of-the-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-21T10:00:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.mp4/U2W7HPyC0cM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.mp4/U2W7HPyC0cM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2W7HPyC0cM.m3u8/U2W7HPyC0cM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2W7HPyC0cM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v261106564", "sha": "9668e51144633221a090c2aed816aaae44a13e30", "translated_description": "Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs", "image_url": "https://img.youtube.com/vi/U2W7HPyC0cM/hqdefault.jpg", "youtube_id": "U2W7HPyC0cM", "content_kind": "Video", "readable_id": "language-and-notation-of-the-circle"}, {"translated_youtube_id": "jyLRpr2P0MQ", "relative_url": "/video/circles--radius--diameter-and-circumference", "has_questions": false, "keywords": "radius, diameter, circumference, circle, CC_7_G_4", "ka_url": "http://www.khanacademy.org/video/circles--radius--diameter-and-circumference", "duration": 665, "translated_title": "Circles: Radius, diameter, and circumference", "translated_description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "id": "24957", "description_html": "

Understanding the relationship between the radius diameter and circumference of a circle.<\/p>", "title": "Circles: Radius, diameter, and circumference", "progress_key": "v24957", "edit_slug": "edit/v/24957", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the relationship between the radius diameter and circumference of a circle.", "extra_properties": {}, "node_slug": "v/circles--radius--diameter-and-circumference", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.m3u8/jyLRpr2P0MQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jyLRpr2P0MQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24957", "sha": "ae5b5cc1def38cda499a948f0dbabddb63446323", "translated_description": "Understanding the relationship between the radius diameter and circumference of a circle.", "image_url": "https://img.youtube.com/vi/jyLRpr2P0MQ/hqdefault.jpg", "youtube_id": "jyLRpr2P0MQ", "content_kind": "Video", "readable_id": "circles--radius--diameter-and-circumference"}, {"translated_youtube_id": "tVcasOt55Lc", "relative_url": "/video/length-of-an-arc-that-subtends-a-central-angle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/length-of-an-arc-that-subtends-a-central-angle", "duration": 298, "translated_title": "Length of an arc that subtends a central angle", "translated_description_html": "", "id": "xb22c18d7", "description_html": "", "title": "Length of an arc that subtends a central angle", "progress_key": "vxb22c18d7", "edit_slug": "edit/v/xb22c18d7", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/length-of-an-arc-that-subtends-a-central-angle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-14T20:58:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tVcasOt55Lc.mp4/tVcasOt55Lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tVcasOt55Lc.mp4/tVcasOt55Lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tVcasOt55Lc.m3u8/tVcasOt55Lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tVcasOt55Lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb22c18d7", "sha": "f9bbb1b14ed8244e5e0c4c91c7ae09c43b3114ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/tVcasOt55Lc/hqdefault.jpg", "youtube_id": "tVcasOt55Lc", "content_kind": "Video", "readable_id": "length-of-an-arc-that-subtends-a-central-angle"}, {"translated_youtube_id": "1BH2TNzAAik", "relative_url": "/video/finding-central-angle-measure-given-arc-length", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-central-angle-measure-given-arc-length", "duration": 138, "translated_title": "Finding central angle measure given arc length", "translated_description_html": "", "id": "x99baffff", "description_html": "", "title": "Finding central angle measure given arc length", "progress_key": "vx99baffff", "edit_slug": "edit/v/x99baffff", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/finding-central-angle-measure-given-arc-length", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-14T20:58:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1BH2TNzAAik.mp4/1BH2TNzAAik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1BH2TNzAAik.mp4/1BH2TNzAAik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1BH2TNzAAik.m3u8/1BH2TNzAAik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1BH2TNzAAik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx99baffff", "sha": "0b1d39c950c543af869896bc930ca9d6022f88d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/1BH2TNzAAik/hqdefault.jpg", "youtube_id": "1BH2TNzAAik", "content_kind": "Video", "readable_id": "finding-central-angle-measure-given-arc-length"}, {"translated_youtube_id": "04N79tItPEA", "relative_url": "/video/parts-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we1, Parts, of, Circle", "ka_url": "http://www.khanacademy.org/video/parts-of-a-circle", "duration": 121, "translated_title": "Parts of a circle", "translated_description_html": "Parts of a Circle", "id": "370305280", "description_html": "Parts of a Circle", "title": "Parts of a circle", "progress_key": "v370305280", "edit_slug": "edit/v/370305280", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts of a Circle", "extra_properties": null, "node_slug": "v/parts-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.m3u8/04N79tItPEA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=04N79tItPEA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305280", "sha": "4824b218d2058c96f987c67dca2af003eff697b7", "translated_description": "Parts of a Circle", "image_url": "https://img.youtube.com/vi/04N79tItPEA/hqdefault.jpg", "youtube_id": "04N79tItPEA", "content_kind": "Video", "readable_id": "parts-of-a-circle"}, {"translated_youtube_id": "ZyOhRgnFmIY", "relative_url": "/video/area-of-a-circle", "has_questions": false, "keywords": "u07_l2_t3_we3, Area, of, Circle", "ka_url": "http://www.khanacademy.org/video/area-of-a-circle", "duration": 242, "translated_title": "Area of a circle", "translated_description_html": "Area of a Circle", "id": "370305273", "description_html": "Area of a Circle", "title": "Area of a circle", "progress_key": "v370305273", "edit_slug": "edit/v/370305273", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Area of a Circle", "extra_properties": null, "node_slug": "v/area-of-a-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-11-10T11:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.m3u8/ZyOhRgnFmIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyOhRgnFmIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370305273", "sha": "76509369d90327f0c0d036c2732c4f651aa8baaf", "translated_description": "Area of a Circle", "image_url": "https://img.youtube.com/vi/ZyOhRgnFmIY/hqdefault.jpg", "youtube_id": "ZyOhRgnFmIY", "content_kind": "Video", "readable_id": "area-of-a-circle"}, {"translated_youtube_id": "u8JFdwmBvvQ", "relative_url": "/video/area-of-a-sector-given-a-central-angle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-of-a-sector-given-a-central-angle", "duration": 146, "translated_title": "Area of a sector given a central angle", "translated_description_html": "", "id": "x44915f06", "description_html": "", "title": "Area of a sector given a central angle", "progress_key": "vx44915f06", "edit_slug": "edit/v/x44915f06", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/area-of-a-sector-given-a-central-angle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T20:58:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u8JFdwmBvvQ.mp4/u8JFdwmBvvQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u8JFdwmBvvQ.mp4/u8JFdwmBvvQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u8JFdwmBvvQ.m3u8/u8JFdwmBvvQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u8JFdwmBvvQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx44915f06", "sha": "854afa2c8168cec65bb51e652e1e8794d397c9e7", "translated_description": "", "image_url": "https://img.youtube.com/vi/u8JFdwmBvvQ/hqdefault.jpg", "youtube_id": "u8JFdwmBvvQ", "content_kind": "Video", "readable_id": "area-of-a-sector-given-a-central-angle"}, {"translated_youtube_id": "MyzGVbCHh5M", "relative_url": "/video/inscribed-and-central-angles", "has_questions": false, "keywords": "geometry, inscribed, central, angle, subtend, arc", "ka_url": "http://www.khanacademy.org/video/inscribed-and-central-angles", "duration": 856, "translated_title": "Inscribed and central angles", "translated_description_html": "Showing that an inscribed angle is half of a central angle that subtends the same arc", "id": "24977", "description_html": "Showing that an inscribed angle is half of a central angle that subtends the same arc", "title": "Inscribed and central angles", "progress_key": "v24977", "edit_slug": "edit/v/24977", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that an inscribed angle is half of a central angle that subtends the same arc", "extra_properties": null, "node_slug": "v/inscribed-and-central-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MyzGVbCHh5M.mp4/MyzGVbCHh5M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MyzGVbCHh5M.mp4/MyzGVbCHh5M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MyzGVbCHh5M.m3u8/MyzGVbCHh5M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MyzGVbCHh5M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24977", "sha": "eda0ebd0b6d6098762e5b4330864c6429bfbe20c", "translated_description": "Showing that an inscribed angle is half of a central angle that subtends the same arc", "image_url": "https://img.youtube.com/vi/MyzGVbCHh5M/hqdefault.jpg", "youtube_id": "MyzGVbCHh5M", "content_kind": "Video", "readable_id": "inscribed-and-central-angles"}, {"translated_youtube_id": "q7eF5Ci944U", "relative_url": "/video/perpendicular-radius-bisects-chord", "has_questions": false, "keywords": "geometry", "ka_url": "http://www.khanacademy.org/video/perpendicular-radius-bisects-chord", "duration": 417, "translated_title": "Perpendicular radius bisects chord", "translated_description_html": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "id": "298420732", "description_html": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "title": "Perpendicular radius bisects chord", "progress_key": "v298420732", "edit_slug": "edit/v/298420732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "extra_properties": null, "node_slug": "v/perpendicular-radius-bisects-chord", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-08T10:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.mp4/q7eF5Ci944U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.mp4/q7eF5Ci944U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7eF5Ci944U.m3u8/q7eF5Ci944U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7eF5Ci944U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v298420732", "sha": "05e5bb0fd8000a1e52ff850c0ca00a8f45378675", "translated_description": "Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it", "image_url": "https://img.youtube.com/vi/q7eF5Ci944U/hqdefault.jpg", "youtube_id": "q7eF5Ci944U", "content_kind": "Video", "readable_id": "perpendicular-radius-bisects-chord"}, {"translated_youtube_id": "b0U1NxbRU4w", "relative_url": "/video/right-triangles-inscribed-in-circles--proof", "has_questions": false, "keywords": "right, triangle, inscribed, circle, circumscribed, prrof, geometry", "ka_url": "http://www.khanacademy.org/video/right-triangles-inscribed-in-circles--proof", "duration": 335, "translated_title": "Right triangles inscribed in circles (proof)", "translated_description_html": "Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle", "id": "24981", "description_html": "Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle", "title": "Right triangles inscribed in circles (proof)", "progress_key": "v24981", "edit_slug": "edit/v/24981", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle", "extra_properties": null, "node_slug": "v/right-triangles-inscribed-in-circles--proof", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b0U1NxbRU4w.mp4/b0U1NxbRU4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b0U1NxbRU4w.mp4/b0U1NxbRU4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b0U1NxbRU4w.m3u8/b0U1NxbRU4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b0U1NxbRU4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24981", "sha": "ce3b00aac4d92d458d04692bca4bf590a01f139f", "translated_description": "Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle", "image_url": "https://img.youtube.com/vi/b0U1NxbRU4w/hqdefault.jpg", "youtube_id": "b0U1NxbRU4w", "content_kind": "Video", "readable_id": "right-triangles-inscribed-in-circles--proof"}, {"translated_youtube_id": "UmiZK6Hgm6c", "relative_url": "/video/area-of-inscribed-equilateral-triangle--some-basic-trig-used", "has_questions": false, "keywords": "area, equilateral, triangle, circumscribed, inscribed", "ka_url": "http://www.khanacademy.org/video/area-of-inscribed-equilateral-triangle--some-basic-trig-used", "duration": 699, "translated_title": "Area of inscribed equilateral triangle (some basic trig used)", "translated_description_html": "Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)", "id": "24979", "description_html": "Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)", "title": "Area of inscribed equilateral triangle (some basic trig used)", "progress_key": "v24979", "edit_slug": "edit/v/24979", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)", "extra_properties": null, "node_slug": "v/area-of-inscribed-equilateral-triangle--some-basic-trig-used", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UmiZK6Hgm6c.mp4/UmiZK6Hgm6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UmiZK6Hgm6c.mp4/UmiZK6Hgm6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UmiZK6Hgm6c.m3u8/UmiZK6Hgm6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UmiZK6Hgm6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24979", "sha": "3240201d838b6c413c9da407a25603725728da1c", "translated_description": "Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)", "image_url": "https://img.youtube.com/vi/UmiZK6Hgm6c/hqdefault.jpg", "youtube_id": "UmiZK6Hgm6c", "content_kind": "Video", "readable_id": "area-of-inscribed-equilateral-triangle--some-basic-trig-used"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": null, "x_pos": -22.0, "node_slug": "circles", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-01T02:23:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax021a201c", "topic_page_url": "/math/geometry/circles", "extended_slug": "math/geometry/circles", "slug": "circles", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "615a2adf683ef8c537b924eaba23aa6973f964a0", "standalone_title": "Circles", "y_pos": 43.0, "current_revision_key": "615a2adf683ef8c537b924eaba23aa6973f964a0", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/default-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/logical-reasoning", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/logical-reasoning", "translated_standalone_title": "Logical reasoning", "translated_title": "Logical reasoning", "gplus_url": "", "id": "x3a4419c2", "old_key_name": "SJq0OBr8A24GSYMzCeBXfRQFsb3LiuMhVpm3tBBS", "hide": false, "title": "Logical reasoning", "child_data": [{"kind": "Video", "id": "x737cf59c"}, {"kind": "Video", "id": "x2cde7b66"}, {"kind": "Exercise", "id": 815624433}, {"kind": "Video", "id": "x68d114d3"}, {"kind": "Exercise", "id": 805471153}, {"kind": "Exercise", "id": 817055617}], "children": [{"translated_youtube_id": "Q5gk9ljVuTE", "relative_url": "/video/conditional-statements-and-deductive-reasoning", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conditional-statements-and-deductive-reasoning", "duration": 250, "translated_title": "Conditional statements and deductive reasoning", "translated_description_html": "", "id": "x737cf59c", "description_html": "", "title": "Conditional statements and deductive reasoning", "progress_key": "vx737cf59c", "edit_slug": "edit/v/x737cf59c", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/conditional-statements-and-deductive-reasoning", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-14T19:23:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q5gk9ljVuTE.mp4/Q5gk9ljVuTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q5gk9ljVuTE.mp4/Q5gk9ljVuTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q5gk9ljVuTE.m3u8/Q5gk9ljVuTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q5gk9ljVuTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx737cf59c", "sha": "272d10543b59e3b3871b2d4c1b34963e42e140f5", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q5gk9ljVuTE/hqdefault.jpg", "youtube_id": "Q5gk9ljVuTE", "content_kind": "Video", "readable_id": "conditional-statements-and-deductive-reasoning"}, {"translated_youtube_id": "5FnwYwqIh7U", "relative_url": "/video/conditional-statements-exercise-examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conditional-statements-exercise-examples", "duration": 173, "translated_title": "Conditional statements exercise examples", "translated_description_html": "", "id": "x2cde7b66", "description_html": "", "title": "Conditional statements exercise examples", "progress_key": "vx2cde7b66", "edit_slug": "edit/v/x2cde7b66", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/conditional-statements-exercise-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-14T19:23:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FnwYwqIh7U.mp4/5FnwYwqIh7U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FnwYwqIh7U.mp4/5FnwYwqIh7U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FnwYwqIh7U.m3u8/5FnwYwqIh7U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FnwYwqIh7U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2cde7b66", "sha": "b089134128263ad74f7ad8329e5d45e4298e4795", "translated_description": "", "image_url": "https://img.youtube.com/vi/5FnwYwqIh7U/hqdefault.jpg", "youtube_id": "5FnwYwqIh7U", "content_kind": "Video", "readable_id": "conditional-statements-exercise-examples"}, {"translated_youtube_id": "DIKkujAIeTY", "relative_url": "/video/logical-argument-and-deductive-reasoning-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/logical-argument-and-deductive-reasoning-exercise-example", "duration": 206, "translated_title": "Logical argument and deductive reasoning exercise example", "translated_description_html": "", "id": "x68d114d3", "description_html": "", "title": "Logical argument and deductive reasoning exercise example", "progress_key": "vx68d114d3", "edit_slug": "edit/v/x68d114d3", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/logical-argument-and-deductive-reasoning-exercise-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-14T19:23:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DIKkujAIeTY.mp4/DIKkujAIeTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DIKkujAIeTY.mp4/DIKkujAIeTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DIKkujAIeTY.m3u8/DIKkujAIeTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DIKkujAIeTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx68d114d3", "sha": "4571e1c1e347059d718b33f955fe7c0fd2c2851f", "translated_description": "", "image_url": "https://img.youtube.com/vi/DIKkujAIeTY/hqdefault.jpg", "youtube_id": "DIKkujAIeTY", "content_kind": "Video", "readable_id": "logical-argument-and-deductive-reasoning-exercise-example"}], "twitter_url": "", "translated_description": "If you experience this tutorial, then you will think clearer. \n\nMy dog thinks clearly. Did he definitely experience this tutorial?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "If you experience this tutorial, then you will think clearer. \n\nMy dog thinks clearly. Did he definitely experience this tutorial?", "x_pos": -33.0, "node_slug": "logical-reasoning", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T19:26:38Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3a4419c2", "topic_page_url": "/math/geometry/logical-reasoning", "extended_slug": "math/geometry/logical-reasoning", "slug": "logical-reasoning", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e0bbefb31d10e0159d67f47e6ce219d32154dce7", "standalone_title": "Logical reasoning", "y_pos": 31.0, "current_revision_key": "e0bbefb31d10e0159d67f47e6ce219d32154dce7", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/transformations-40x40.png", "domain_slug": "math", "relative_url": "/math/geometry/transformations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/transformations", "translated_standalone_title": "Transformations", "translated_title": "Transformations", "gplus_url": "", "id": "xc8e66653", "old_key_name": "GaFn0lA_acCcYFs3Ps2w2Ain5icHT2BF_lUmnS-W", "hide": false, "title": "Transformations", "child_data": [{"kind": "Video", "id": "x78b40eae"}, {"kind": "Exercise", "id": 310282900}, {"kind": "Video", "id": "x0bee44bd"}, {"kind": "Video", "id": "xdc65b657"}, {"kind": "Exercise", "id": 970556012}, {"kind": "Video", "id": "xd50b8c60"}, {"kind": "Exercise", "id": 986736446}], "children": [{"translated_youtube_id": "LrTn4cvsewk", "relative_url": "/video/axis-of-symmetry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/axis-of-symmetry", "duration": 167, "translated_title": "Axis of symmetry", "translated_description_html": "", "id": "x78b40eae", "description_html": "", "title": "Axis of symmetry", "progress_key": "vx78b40eae", "edit_slug": "edit/v/x78b40eae", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/axis-of-symmetry", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-14T22:38:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.mp4/LrTn4cvsewk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.mp4/LrTn4cvsewk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LrTn4cvsewk.m3u8/LrTn4cvsewk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LrTn4cvsewk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78b40eae", "sha": "e92107134b626de499fd20149922ecaf0710c7d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/LrTn4cvsewk/hqdefault.jpg", "youtube_id": "LrTn4cvsewk", "content_kind": "Video", "readable_id": "axis-of-symmetry"}, {"translated_youtube_id": "u9B-dV6r6rU", "relative_url": "/video/translations-of-polygons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/translations-of-polygons", "duration": 65, "translated_title": "Translations of polygons", "translated_description_html": "", "id": "x0bee44bd", "description_html": "", "title": "Translations of polygons", "progress_key": "vx0bee44bd", "edit_slug": "edit/v/x0bee44bd", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/translations-of-polygons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-14T22:38:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u9B-dV6r6rU.mp4/u9B-dV6r6rU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u9B-dV6r6rU.mp4/u9B-dV6r6rU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u9B-dV6r6rU.m3u8/u9B-dV6r6rU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u9B-dV6r6rU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0bee44bd", "sha": "9f6a722f1e58f585a361abf2da4cb1ef7a0757fa", "translated_description": "", "image_url": "https://img.youtube.com/vi/u9B-dV6r6rU/hqdefault.jpg", "youtube_id": "u9B-dV6r6rU", "content_kind": "Video", "readable_id": "translations-of-polygons"}, {"translated_youtube_id": "ZhROXmbUVKE", "relative_url": "/video/determining-a-translation-for-a-shape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/determining-a-translation-for-a-shape", "duration": 46, "translated_title": "Determining a translation for a shape", "translated_description_html": "", "id": "xdc65b657", "description_html": "", "title": "Determining a translation for a shape", "progress_key": "vxdc65b657", "edit_slug": "edit/v/xdc65b657", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/determining-a-translation-for-a-shape", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-15T01:04:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZhROXmbUVKE.mp4/ZhROXmbUVKE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZhROXmbUVKE.mp4/ZhROXmbUVKE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZhROXmbUVKE.m3u8/ZhROXmbUVKE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZhROXmbUVKE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdc65b657", "sha": "78ab666e8faf9384e730fc1adf08b54c6f601bb2", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZhROXmbUVKE/hqdefault.jpg", "youtube_id": "ZhROXmbUVKE", "content_kind": "Video", "readable_id": "determining-a-translation-for-a-shape"}, {"translated_youtube_id": "Hur3v1hrX3U", "relative_url": "/video/rotation-of-polygons-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rotation-of-polygons-example", "duration": 147, "translated_title": "Rotation of polygons example", "translated_description_html": "", "id": "xd50b8c60", "description_html": "", "title": "Rotation of polygons example", "progress_key": "vxd50b8c60", "edit_slug": "edit/v/xd50b8c60", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/rotation-of-polygons-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-15T01:04:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hur3v1hrX3U.mp4/Hur3v1hrX3U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hur3v1hrX3U.mp4/Hur3v1hrX3U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hur3v1hrX3U.m3u8/Hur3v1hrX3U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hur3v1hrX3U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd50b8c60", "sha": "651b9dc0ac37026713228e5d5a45c162bfaa623e", "translated_description": "", "image_url": "https://img.youtube.com/vi/Hur3v1hrX3U/hqdefault.jpg", "youtube_id": "Hur3v1hrX3U", "content_kind": "Video", "readable_id": "rotation-of-polygons-example"}], "twitter_url": "", "translated_description": "Let's think more visually about things like shifts, rotations, scaling and symmetry.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Let's think more visually about things like shifts, rotations, scaling and symmetry.", "x_pos": -30.0, "node_slug": "transformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T01:08:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8e66653", "topic_page_url": "/math/geometry/transformations", "extended_slug": "math/geometry/transformations", "slug": "transformations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a28f3364942107812ffc314275e44d7ab248a44e", "standalone_title": "Transformations", "y_pos": 43.0, "current_revision_key": "a28f3364942107812ffc314275e44d7ab248a44e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/geometry/geometry-worked-examples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/geometry/geometry-worked-examples", "translated_standalone_title": "Worked examples: geometry", "translated_title": "Worked examples", "gplus_url": "", "id": "xc36c5d6b", "old_key_name": "w6_JmSpOtw7648TIIJD0c3i4Uc2AlIhiLSbVOrdr", "hide": false, "title": "Worked examples", "child_data": [{"kind": "Video", "id": 283213903}, {"kind": "Video", "id": 283213900}, {"kind": "Video", "id": 24434}, {"kind": "Video", "id": 24436}, {"kind": "Video", "id": 24438}, {"kind": "Video", "id": 4802217}, {"kind": "Video", "id": 24442}, {"kind": "Video", "id": 24444}, {"kind": "Video", "id": 24446}, {"kind": "Video", "id": 24448}, {"kind": "Video", "id": 24450}, {"kind": "Video", "id": 24452}, {"kind": "Video", "id": 24454}, {"kind": "Video", "id": 24456}, {"kind": "Video", "id": 24458}, {"kind": "Video", "id": 24460}, {"kind": "Exercise", "id": 1439850811}, {"kind": "Video", "id": 24462}, {"kind": "Video", "id": 24464}, {"kind": "Video", "id": 24466}, {"kind": "Video", "id": 24468}], "children": [{"translated_youtube_id": "vWXMDIazHjA", "relative_url": "/video/interesting-perimeter-and-area-problems", "has_questions": false, "keywords": "Interesting, Perimeter, and, Area, Problems", "ka_url": "http://www.khanacademy.org/video/interesting-perimeter-and-area-problems", "duration": 493, "translated_title": "Interesting perimeter and area problems", "translated_description_html": "Three example problems involving perimeter and area", "id": "283213903", "description_html": "Three example problems involving perimeter and area", "title": "Interesting perimeter and area problems", "progress_key": "v283213903", "edit_slug": "edit/v/283213903", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Three example problems involving perimeter and area", "extra_properties": null, "node_slug": "v/interesting-perimeter-and-area-problems", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.mp4/vWXMDIazHjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.mp4/vWXMDIazHjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vWXMDIazHjA.m3u8/vWXMDIazHjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vWXMDIazHjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213903", "sha": "1980b945cccc4a61e19c71350dd8502922601d8b", "translated_description": "Three example problems involving perimeter and area", "image_url": "https://img.youtube.com/vi/vWXMDIazHjA/hqdefault.jpg", "youtube_id": "vWXMDIazHjA", "content_kind": "Video", "readable_id": "interesting-perimeter-and-area-problems"}, {"translated_youtube_id": "1uWZNW5PF-s", "relative_url": "/video/challenging-perimeter-problem", "has_questions": false, "keywords": "geometry, AIME", "ka_url": "http://www.khanacademy.org/video/challenging-perimeter-problem", "duration": 596, "translated_title": "Challenging perimeter problem", "translated_description_html": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "id": "283213900", "description_html": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "title": "Challenging perimeter problem", "progress_key": "v283213900", "edit_slug": "edit/v/283213900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "extra_properties": null, "node_slug": "v/challenging-perimeter-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-01T10:00:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.mp4/1uWZNW5PF-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.mp4/1uWZNW5PF-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1uWZNW5PF-s.m3u8/1uWZNW5PF-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1uWZNW5PF-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v283213900", "sha": "e62be18bd91ac6fbb5f4e9b28008ccc7de611a12", "translated_description": "Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam", "image_url": "https://img.youtube.com/vi/1uWZNW5PF-s/hqdefault.jpg", "youtube_id": "1uWZNW5PF-s", "content_kind": "Video", "readable_id": "challenging-perimeter-problem"}, {"translated_youtube_id": "GluohfOedQE", "relative_url": "/video/ca-geometry--deductive-reasoning", "has_questions": false, "keywords": "geometry, congruent, deductive, reasoning", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deductive-reasoning", "duration": 617, "translated_title": "CA Geometry: Deductive reasoning", "translated_description_html": "1-3, deductive reasoning and congruent angles", "id": "24434", "description_html": "1-3, deductive reasoning and congruent angles", "title": "CA Geometry: Deductive reasoning", "progress_key": "v24434", "edit_slug": "edit/v/24434", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-3, deductive reasoning and congruent angles", "extra_properties": null, "node_slug": "v/ca-geometry--deductive-reasoning", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.mp4/GluohfOedQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.mp4/GluohfOedQE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.m3u8/GluohfOedQE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GluohfOedQE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24434", "sha": "3c55e33268e879bd366f347deebfdf0091bcf1c8", "translated_description": "1-3, deductive reasoning and congruent angles", "image_url": "https://img.youtube.com/vi/GluohfOedQE/hqdefault.jpg", "youtube_id": "GluohfOedQE", "content_kind": "Video", "readable_id": "ca-geometry--deductive-reasoning"}, {"translated_youtube_id": "u6O0YHyarlI", "relative_url": "/video/ca-geometry--proof-by-contradiction", "has_questions": false, "keywords": "geometry, proof, by, contradiction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--proof-by-contradiction", "duration": 716, "translated_title": "CA Geometry: Proof by contradiction", "translated_description_html": "4-6, proof by contradiction", "id": "24436", "description_html": "4-6, proof by contradiction", "title": "CA Geometry: Proof by contradiction", "progress_key": "v24436", "edit_slug": "edit/v/24436", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "4-6, proof by contradiction", "extra_properties": null, "node_slug": "v/ca-geometry--proof-by-contradiction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.mp4/u6O0YHyarlI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.mp4/u6O0YHyarlI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.m3u8/u6O0YHyarlI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u6O0YHyarlI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24436", "sha": "369b800225b28aa3c55433034a7c1350f6c39544", "translated_description": "4-6, proof by contradiction", "image_url": "https://img.youtube.com/vi/u6O0YHyarlI/hqdefault.jpg", "youtube_id": "u6O0YHyarlI", "content_kind": "Video", "readable_id": "ca-geometry--proof-by-contradiction"}, {"translated_youtube_id": "4PPMnI8-Zsc", "relative_url": "/video/ca-geometry--more-proofs", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-proofs", "duration": 732, "translated_title": "CA Geometry: More proofs", "translated_description_html": "7-10, more proofs (10 continued in next video)", "id": "24438", "description_html": "7-10, more proofs (10 continued in next video)", "title": "CA Geometry: More proofs", "progress_key": "v24438", "edit_slug": "edit/v/24438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "7-10, more proofs (10 continued in next video)", "extra_properties": null, "node_slug": "v/ca-geometry--more-proofs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.mp4/4PPMnI8-Zsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.mp4/4PPMnI8-Zsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.m3u8/4PPMnI8-Zsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PPMnI8-Zsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24438", "sha": "3eed3a3df6b87066eafdba30a49802a1ce6cf940", "translated_description": "7-10, more proofs (10 continued in next video)", "image_url": "https://img.youtube.com/vi/4PPMnI8-Zsc/hqdefault.jpg", "youtube_id": "4PPMnI8-Zsc", "content_kind": "Video", "readable_id": "ca-geometry--more-proofs"}, {"translated_youtube_id": "bWTtHKSEcdI", "relative_url": "/video/ca-geometry--similar-triangles-1", "has_questions": false, "keywords": "geometry, similar, triangles", "ka_url": "http://www.khanacademy.org/video/ca-geometry--similar-triangles-1", "duration": 775, "translated_title": "CA Geometry: Similar triangles 1", "translated_description_html": "10-14, similar triangles", "id": "4802217", "description_html": "10-14, similar triangles", "title": "CA Geometry: Similar triangles 1", "progress_key": "v4802217", "edit_slug": "edit/v/4802217", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "10-14, similar triangles", "extra_properties": null, "node_slug": "v/ca-geometry--similar-triangles-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.mp4/bWTtHKSEcdI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.mp4/bWTtHKSEcdI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.m3u8/bWTtHKSEcdI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bWTtHKSEcdI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802217", "sha": "ef3b25458e8e84af8e6da477474f19ec8450fbae", "translated_description": "10-14, similar triangles", "image_url": "https://img.youtube.com/vi/bWTtHKSEcdI/hqdefault.jpg", "youtube_id": "bWTtHKSEcdI", "content_kind": "Video", "readable_id": "ca-geometry--similar-triangles-1"}, {"translated_youtube_id": "iOLN43V1Lmw", "relative_url": "/video/ca-geometry--similar-triangles-2", "has_questions": false, "keywords": "geometry, similar, triangles", "ka_url": "http://www.khanacademy.org/video/ca-geometry--similar-triangles-2", "duration": 712, "translated_title": "CA Geometry: Similar triangles 2", "translated_description_html": "15-16, similar triangles", "id": "24442", "description_html": "15-16, similar triangles", "title": "CA Geometry: Similar triangles 2", "progress_key": "v24442", "edit_slug": "edit/v/24442", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "15-16, similar triangles", "extra_properties": null, "node_slug": "v/ca-geometry--similar-triangles-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iOLN43V1Lmw.mp4/iOLN43V1Lmw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iOLN43V1Lmw.mp4/iOLN43V1Lmw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iOLN43V1Lmw.m3u8/iOLN43V1Lmw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iOLN43V1Lmw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24442", "sha": "ce4beecb7f4bad942ed2e14a8af6a2160d22ba45", "translated_description": "15-16, similar triangles", "image_url": "https://img.youtube.com/vi/iOLN43V1Lmw/hqdefault.jpg", "youtube_id": "iOLN43V1Lmw", "content_kind": "Video", "readable_id": "ca-geometry--similar-triangles-2"}, {"translated_youtube_id": "FVSgVMVZZ-4", "relative_url": "/video/ca-geometry--more-on-congruent-and-similar-triangles", "has_questions": false, "keywords": "geometry, similar, congruent, triangles", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-on-congruent-and-similar-triangles", "duration": 671, "translated_title": "CA Geometry: More on congruent and similar triangles", "translated_description_html": "17-20, more similar and congruent triangles", "id": "24444", "description_html": "17-20, more similar and congruent triangles", "title": "CA Geometry: More on congruent and similar triangles", "progress_key": "v24444", "edit_slug": "edit/v/24444", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "17-20, more similar and congruent triangles", "extra_properties": null, "node_slug": "v/ca-geometry--more-on-congruent-and-similar-triangles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.mp4/FVSgVMVZZ-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.mp4/FVSgVMVZZ-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.m3u8/FVSgVMVZZ-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FVSgVMVZZ-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24444", "sha": "cea666e13d33de4a2b3232d06cca58f606a0dddb", "translated_description": "17-20, more similar and congruent triangles", "image_url": "https://img.youtube.com/vi/FVSgVMVZZ-4/hqdefault.jpg", "youtube_id": "FVSgVMVZZ-4", "content_kind": "Video", "readable_id": "ca-geometry--more-on-congruent-and-similar-triangles"}, {"translated_youtube_id": "h0FFEBHBufo", "relative_url": "/video/ca-geometry--triangles-and-parallelograms", "has_questions": false, "keywords": "geometry, triangles, parallelograms", "ka_url": "http://www.khanacademy.org/video/ca-geometry--triangles-and-parallelograms", "duration": 674, "translated_title": "CA Geometry: Triangles and parallelograms", "translated_description_html": "21-25, triangles and parallelograms", "id": "24446", "description_html": "21-25, triangles and parallelograms", "title": "CA Geometry: Triangles and parallelograms", "progress_key": "v24446", "edit_slug": "edit/v/24446", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "21-25, triangles and parallelograms", "extra_properties": null, "node_slug": "v/ca-geometry--triangles-and-parallelograms", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.mp4/h0FFEBHBufo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.mp4/h0FFEBHBufo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.m3u8/h0FFEBHBufo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h0FFEBHBufo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24446", "sha": "07ec6783d9365c1857624aad27e676952be693fd", "translated_description": "21-25, triangles and parallelograms", "image_url": "https://img.youtube.com/vi/h0FFEBHBufo/hqdefault.jpg", "youtube_id": "h0FFEBHBufo", "content_kind": "Video", "readable_id": "ca-geometry--triangles-and-parallelograms"}, {"translated_youtube_id": "jRrRqMJbHKc", "relative_url": "/video/ca-geometry--area--pythagorean-theorem", "has_questions": false, "keywords": "geometry, area, circumference, pythagorean, theorem", "ka_url": "http://www.khanacademy.org/video/ca-geometry--area--pythagorean-theorem", "duration": 619, "translated_title": "CA Geometry: Area, pythagorean theorem", "translated_description_html": "26-30, area, circumference, pythagorean theorem", "id": "24448", "description_html": "26-30, area, circumference, pythagorean theorem", "title": "CA Geometry: Area, pythagorean theorem", "progress_key": "v24448", "edit_slug": "edit/v/24448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "26-30, area, circumference, pythagorean theorem", "extra_properties": null, "node_slug": "v/ca-geometry--area--pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.mp4/jRrRqMJbHKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.mp4/jRrRqMJbHKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.m3u8/jRrRqMJbHKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jRrRqMJbHKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24448", "sha": "3e2706c082cafe07e4e1eebc88cfbf4ca0545082", "translated_description": "26-30, area, circumference, pythagorean theorem", "image_url": "https://img.youtube.com/vi/jRrRqMJbHKc/hqdefault.jpg", "youtube_id": "jRrRqMJbHKc", "content_kind": "Video", "readable_id": "ca-geometry--area--pythagorean-theorem"}, {"translated_youtube_id": "BJSk1joCQsM", "relative_url": "/video/ca-geometry--area--circumference--volume", "has_questions": false, "keywords": "geometry, area, circumference, volume", "ka_url": "http://www.khanacademy.org/video/ca-geometry--area--circumference--volume", "duration": 653, "translated_title": "CA Geometry: Area, circumference, volume", "translated_description_html": "31-35, area, circumference and volume", "id": "24450", "description_html": "31-35, area, circumference and volume", "title": "CA Geometry: Area, circumference, volume", "progress_key": "v24450", "edit_slug": "edit/v/24450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "31-35, area, circumference and volume", "extra_properties": null, "node_slug": "v/ca-geometry--area--circumference--volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.mp4/BJSk1joCQsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.mp4/BJSk1joCQsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.m3u8/BJSk1joCQsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BJSk1joCQsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24450", "sha": "32188cd1d3112a4c85f6cb7220715f894b13187e", "translated_description": "31-35, area, circumference and volume", "image_url": "https://img.youtube.com/vi/BJSk1joCQsM/hqdefault.jpg", "youtube_id": "BJSk1joCQsM", "content_kind": "Video", "readable_id": "ca-geometry--area--circumference--volume"}, {"translated_youtube_id": "vaOXkt7uuac", "relative_url": "/video/ca-geometry--pythagorean-theorem--area", "has_questions": false, "keywords": "geometry, pythagorean, theorem, area", "ka_url": "http://www.khanacademy.org/video/ca-geometry--pythagorean-theorem--area", "duration": 644, "translated_title": "CA Geometry: Pythagorean theorem, area", "translated_description_html": "36-40, Pythagorean Theorem and Area", "id": "24452", "description_html": "36-40, Pythagorean Theorem and Area", "title": "CA Geometry: Pythagorean theorem, area", "progress_key": "v24452", "edit_slug": "edit/v/24452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "36-40, Pythagorean Theorem and Area", "extra_properties": null, "node_slug": "v/ca-geometry--pythagorean-theorem--area", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.m3u8/vaOXkt7uuac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vaOXkt7uuac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24452", "sha": "7680828f1702ec35e00ee293deb7dccd70df9f44", "translated_description": "36-40, Pythagorean Theorem and Area", "image_url": "https://img.youtube.com/vi/vaOXkt7uuac/hqdefault.jpg", "youtube_id": "vaOXkt7uuac", "content_kind": "Video", "readable_id": "ca-geometry--pythagorean-theorem--area"}, {"translated_youtube_id": "Ncg1HB5uVLc", "relative_url": "/video/ca-geometry--exterior-angles", "has_questions": false, "keywords": "geometry, exterior, angles, polygon", "ka_url": "http://www.khanacademy.org/video/ca-geometry--exterior-angles", "duration": 653, "translated_title": "CA Geometry: Exterior angles", "translated_description_html": "41-45, polygons, exterior angles", "id": "24454", "description_html": "41-45, polygons, exterior angles", "title": "CA Geometry: Exterior angles", "progress_key": "v24454", "edit_slug": "edit/v/24454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "41-45, polygons, exterior angles", "extra_properties": null, "node_slug": "v/ca-geometry--exterior-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.mp4/Ncg1HB5uVLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.mp4/Ncg1HB5uVLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.m3u8/Ncg1HB5uVLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ncg1HB5uVLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24454", "sha": "d23d91f9047c44d59b44ba90803eaa2c4b8fff3b", "translated_description": "41-45, polygons, exterior angles", "image_url": "https://img.youtube.com/vi/Ncg1HB5uVLc/hqdefault.jpg", "youtube_id": "Ncg1HB5uVLc", "content_kind": "Video", "readable_id": "ca-geometry--exterior-angles"}, {"translated_youtube_id": "_HJljJuVHLw", "relative_url": "/video/ca-geometry--deducing-angle-measures", "has_questions": false, "keywords": "geometry, angles, deduction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deducing-angle-measures", "duration": 658, "translated_title": "CA Geometry: Deducing angle measures", "translated_description_html": "46-50, deducing the measure of angles", "id": "24456", "description_html": "46-50, deducing the measure of angles", "title": "CA Geometry: Deducing angle measures", "progress_key": "v24456", "edit_slug": "edit/v/24456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "46-50, deducing the measure of angles", "extra_properties": null, "node_slug": "v/ca-geometry--deducing-angle-measures", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.m3u8/_HJljJuVHLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_HJljJuVHLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24456", "sha": "3a6299a33ce2c08c872b56aea80948e011b4585a", "translated_description": "46-50, deducing the measure of angles", "image_url": "https://img.youtube.com/vi/_HJljJuVHLw/hqdefault.jpg", "youtube_id": "_HJljJuVHLw", "content_kind": "Video", "readable_id": "ca-geometry--deducing-angle-measures"}, {"translated_youtube_id": "6EY0E3z-hsU", "relative_url": "/video/ca-geometry--pythagorean-theorem--compass-constructions", "has_questions": false, "keywords": "geometry, pythagorean, theorem, compass, construction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--pythagorean-theorem--compass-constructions", "duration": 755, "translated_title": "CA Geometry: Pythagorean theorem, compass constructions", "translated_description_html": "51-55, Pythagorean Theorem, compass constructions", "id": "24458", "description_html": "51-55, Pythagorean Theorem, compass constructions", "title": "CA Geometry: Pythagorean theorem, compass constructions", "progress_key": "v24458", "edit_slug": "edit/v/24458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "51-55, Pythagorean Theorem, compass constructions", "extra_properties": null, "node_slug": "v/ca-geometry--pythagorean-theorem--compass-constructions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.mp4/6EY0E3z-hsU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.mp4/6EY0E3z-hsU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.m3u8/6EY0E3z-hsU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6EY0E3z-hsU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24458", "sha": "346195968a4767f8222c09c804c25df018467bb3", "translated_description": "51-55, Pythagorean Theorem, compass constructions", "image_url": "https://img.youtube.com/vi/6EY0E3z-hsU/hqdefault.jpg", "youtube_id": "6EY0E3z-hsU", "content_kind": "Video", "readable_id": "ca-geometry--pythagorean-theorem--compass-constructions"}, {"translated_youtube_id": "79lagkER9qY", "relative_url": "/video/ca-geometry--compass-construction", "has_questions": false, "keywords": "geometry, compass, construction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--compass-construction", "duration": 769, "translated_title": "CA Geometry: Compass construction", "translated_description_html": "56-60, compass construction, coordinates", "id": "24460", "description_html": "56-60, compass construction, coordinates", "title": "CA Geometry: Compass construction", "progress_key": "v24460", "edit_slug": "edit/v/24460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "56-60, compass construction, coordinates", "extra_properties": null, "node_slug": "v/ca-geometry--compass-construction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.mp4/79lagkER9qY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.mp4/79lagkER9qY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.m3u8/79lagkER9qY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=79lagkER9qY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24460", "sha": "4bb4001e4fb698f11a9384bbc23139ca4cbcf87a", "translated_description": "56-60, compass construction, coordinates", "image_url": "https://img.youtube.com/vi/79lagkER9qY/hqdefault.jpg", "youtube_id": "79lagkER9qY", "content_kind": "Video", "readable_id": "ca-geometry--compass-construction"}, {"translated_youtube_id": "MyvRxKM0xns", "relative_url": "/video/ca-geometry--basic-trigonometry", "has_questions": false, "keywords": "geometry, trigonometry", "ka_url": "http://www.khanacademy.org/video/ca-geometry--basic-trigonometry", "duration": 664, "translated_title": "CA Geometry: Basic trigonometry", "translated_description_html": "61-65, basic trigonometry", "id": "24462", "description_html": "61-65, basic trigonometry", "title": "CA Geometry: Basic trigonometry", "progress_key": "v24462", "edit_slug": "edit/v/24462", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "61-65, basic trigonometry", "extra_properties": null, "node_slug": "v/ca-geometry--basic-trigonometry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.mp4/MyvRxKM0xns.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.mp4/MyvRxKM0xns.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.m3u8/MyvRxKM0xns.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MyvRxKM0xns&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24462", "sha": "10d240d1ccc5043c32bfe35a637daf43dfbfb72c", "translated_description": "61-65, basic trigonometry", "image_url": "https://img.youtube.com/vi/MyvRxKM0xns/hqdefault.jpg", "youtube_id": "MyvRxKM0xns", "content_kind": "Video", "readable_id": "ca-geometry--basic-trigonometry"}, {"translated_youtube_id": "8YBQQ0GeusM", "relative_url": "/video/ca-geometry--more-trig", "has_questions": false, "keywords": "geometry, trigonometry, trig", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-trig", "duration": 741, "translated_title": "CA Geometry: More trig", "translated_description_html": "66-70, more trigonometry", "id": "24464", "description_html": "66-70, more trigonometry", "title": "CA Geometry: More trig", "progress_key": "v24464", "edit_slug": "edit/v/24464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "66-70, more trigonometry", "extra_properties": null, "node_slug": "v/ca-geometry--more-trig", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.mp4/8YBQQ0GeusM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.mp4/8YBQQ0GeusM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.m3u8/8YBQQ0GeusM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8YBQQ0GeusM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24464", "sha": "fcea92ccfd009d182e472e05c40e934761be011e", "translated_description": "66-70, more trigonometry", "image_url": "https://img.youtube.com/vi/8YBQQ0GeusM/hqdefault.jpg", "youtube_id": "8YBQQ0GeusM", "content_kind": "Video", "readable_id": "ca-geometry--more-trig"}, {"translated_youtube_id": "FJIZPvE3O1A", "relative_url": "/video/ca-geometry--circle-area-chords-tangent", "has_questions": false, "keywords": "geometry, circle", "ka_url": "http://www.khanacademy.org/video/ca-geometry--circle-area-chords-tangent", "duration": 606, "translated_title": "CA Geometry: Circle area chords tangent", "translated_description_html": "71-75, area, chords, tangents of circles", "id": "24466", "description_html": "71-75, area, chords, tangents of circles", "title": "CA Geometry: Circle area chords tangent", "progress_key": "v24466", "edit_slug": "edit/v/24466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "71-75, area, chords, tangents of circles", "extra_properties": null, "node_slug": "v/ca-geometry--circle-area-chords-tangent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.mp4/FJIZPvE3O1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.mp4/FJIZPvE3O1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.m3u8/FJIZPvE3O1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FJIZPvE3O1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24466", "sha": "b35a3a1d5c4493874f65563481702164a78f5a2b", "translated_description": "71-75, area, chords, tangents of circles", "image_url": "https://img.youtube.com/vi/FJIZPvE3O1A/hqdefault.jpg", "youtube_id": "FJIZPvE3O1A", "content_kind": "Video", "readable_id": "ca-geometry--circle-area-chords-tangent"}, {"translated_youtube_id": "Mp838qprwyY", "relative_url": "/video/ca-geometry--secants-and-translations", "has_questions": false, "keywords": "geometry, secant, translation", "ka_url": "http://www.khanacademy.org/video/ca-geometry--secants-and-translations", "duration": 728, "translated_title": "CA Geometry: Secants and translations", "translated_description_html": "76-80, secants and graph translations", "id": "24468", "description_html": "76-80, secants and graph translations", "title": "CA Geometry: Secants and translations", "progress_key": "v24468", "edit_slug": "edit/v/24468", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "76-80, secants and graph translations", "extra_properties": null, "node_slug": "v/ca-geometry--secants-and-translations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.mp4/Mp838qprwyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.mp4/Mp838qprwyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.m3u8/Mp838qprwyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mp838qprwyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24468", "sha": "42b2fc1c1e85d076958260daaa713213497a44f5", "translated_description": "76-80, secants and graph translations", "image_url": "https://img.youtube.com/vi/Mp838qprwyY/hqdefault.jpg", "youtube_id": "Mp838qprwyY", "content_kind": "Video", "readable_id": "ca-geometry--secants-and-translations"}], "twitter_url": "", "translated_description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary.", "x_pos": 0.0, "node_slug": "geometry-worked-examples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc36c5d6b", "topic_page_url": "/math/geometry/geometry-worked-examples", "extended_slug": "math/geometry/geometry-worked-examples", "slug": "geometry-worked-examples", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "360520a3079215aad39e6ee4a5199725791fcf58", "standalone_title": "Worked examples: geometry", "y_pos": 0.0, "current_revision_key": "360520a3079215aad39e6ee4a5199725791fcf58", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on proving theorems and results from basic postulates.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on proving theorems and results from basic postulates.", "x_pos": 0.0, "node_slug": "geometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-18T16:20:25Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axff63fac4", "topic_page_url": "/math/geometry", "extended_slug": "math/geometry", "slug": "geometry", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4fea6c2ba84b4767c15cf0eedd6947a245f05cc5", "standalone_title": "Geometry", "y_pos": 0.0, "current_revision_key": "4fea6c2ba84b4767c15cf0eedd6947a245f05cc5", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/trigonometry-40x40.png", "domain_slug": "math", "relative_url": "/math/trigonometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry", "translated_standalone_title": "Trigonometry and precalculus", "translated_title": "Trigonometry and precalculus", "gplus_url": "", "id": "xfefa5515", "old_key_name": "i9cU2Edaq1iebOqo9moc9Nmd7pd8k9yg60m4gSMh", "hide": false, "title": "Trigonometry and precalculus", "child_data": [{"kind": "Topic", "id": "x12c891d3"}, {"kind": "Topic", "id": "x5bd354c4"}, {"kind": "Topic", "id": "x5e2afacb"}, {"kind": "Topic", "id": "x872c276b"}, {"kind": "Topic", "id": "x74f9f730"}, {"kind": "Topic", "id": "x6c759222"}, {"kind": "Topic", "id": "x2f0599c0"}, {"kind": "Topic", "id": "xb61c639c"}, {"kind": "Topic", "id": "x624792a7"}, {"kind": "Topic", "id": "xef1dc391"}, {"kind": "Topic", "id": "x1af1e2a6"}, {"kind": "Topic", "id": "x1dd60c20"}, {"kind": "Topic", "id": "x3f5028ed"}, {"kind": "Topic", "id": "xccdba2de"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs", "translated_standalone_title": "Graphs", "translated_title": "Graphing lines", "gplus_url": "", "id": "x12c891d3", "old_key_name": "ZVIej4hwFhqA9Ts9_TrTr6h8LpvrF_FRWfWYADfl", "hide": false, "title": "Graphing lines", "child_data": [{"kind": "Topic", "id": "x492f7f63"}, {"kind": "Topic", "id": "xec305270"}, {"kind": "Topic", "id": "xda6333b9"}, {"kind": "Topic", "id": "x3ad7fae0"}, {"kind": "Topic", "id": "x933b8cb7"}, {"kind": "Topic", "id": "xdebe6655"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/graphing_coordinates", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/graphing_coordinates", "translated_standalone_title": "The coordinate plane", "translated_title": "The coordinate plane", "gplus_url": "", "id": "x492f7f63", "old_key_name": "_x9ZgTqQRHt4hwm0sHOcnNTCFNB_TqvknLXSlAOM", "hide": false, "title": "The coordinate plane", "child_data": [{"kind": "Video", "id": 578962249}, {"kind": "Video", "id": 23630}, {"kind": "Video", "id": 396277331}, {"kind": "Exercise", "id": 2016}, {"kind": "Video", "id": 33752747}, {"kind": "Exercise", "id": 342773513}, {"kind": "Exercise", "id": 702001212}, {"kind": "Video", "id": 561901044}, {"kind": "Video", "id": 466056216}, {"kind": "Exercise", "id": 701901621}, {"kind": "Video", "id": 26798}, {"kind": "Exercise", "id": 363766194}], "children": [{"translated_youtube_id": "N4nrdf0yYfM", "relative_url": "/video/descartes-and-cartesian-coordinates", "has_questions": false, "keywords": "algebra, decartes, cartesian, coordinates", "ka_url": "http://www.khanacademy.org/video/descartes-and-cartesian-coordinates", "duration": 682, "translated_title": "Descartes and Cartesian coordinates", "translated_description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "id": "578962249", "description_html": "Bridging algebra and geometry. What makes linear equations so linear.", "title": "Descartes and Cartesian coordinates", "progress_key": "v578962249", "edit_slug": "edit/v/578962249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Bridging algebra and geometry. What makes linear equations so linear.", "extra_properties": null, "node_slug": "v/descartes-and-cartesian-coordinates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-15T22:44:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.m3u8/N4nrdf0yYfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4nrdf0yYfM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v578962249", "sha": "e4cbccad996ee2091b111f547d6046e14d705efd", "translated_description": "Bridging algebra and geometry. What makes linear equations so linear.", "image_url": "https://img.youtube.com/vi/N4nrdf0yYfM/hqdefault.jpg", "youtube_id": "N4nrdf0yYfM", "content_kind": "Video", "readable_id": "descartes-and-cartesian-coordinates"}, {"translated_youtube_id": "VhNkWdLGpmA", "relative_url": "/video/the-coordinate-plane", "has_questions": false, "keywords": "The, Coordinate, Plane, CC_6_G_3, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/the-coordinate-plane", "duration": 410, "translated_title": "The coordinate plane", "translated_description_html": null, "id": "23630", "description_html": null, "title": "The coordinate plane", "progress_key": "v23630", "edit_slug": "edit/v/23630", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/the-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.mp4/VhNkWdLGpmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhNkWdLGpmA.m3u8/VhNkWdLGpmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhNkWdLGpmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23630", "sha": "6b3ec50c22af3a8521e12973de857d75c9bba1cf", "translated_description": null, "image_url": "https://img.youtube.com/vi/VhNkWdLGpmA/hqdefault.jpg", "youtube_id": "VhNkWdLGpmA", "content_kind": "Video", "readable_id": "the-coordinate-plane"}, {"translated_youtube_id": "5ctsUsvIp8w", "relative_url": "/video/plot-ordered-pairs", "has_questions": false, "keywords": "u13_l1_t1_we1, Plot, ordered, pairs", "ka_url": "http://www.khanacademy.org/video/plot-ordered-pairs", "duration": 128, "translated_title": "Plot ordered pairs", "translated_description_html": "Plot ordered pairs", "id": "396277331", "description_html": "Plot ordered pairs", "title": "Plot ordered pairs", "progress_key": "v396277331", "edit_slug": "edit/v/396277331", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plot ordered pairs", "extra_properties": null, "node_slug": "v/plot-ordered-pairs", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-22T11:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.mp4/5ctsUsvIp8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ctsUsvIp8w.m3u8/5ctsUsvIp8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ctsUsvIp8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v396277331", "sha": "f1924fb976ec501fd90e437896ec2baca767c480", "translated_description": "Plot ordered pairs", "image_url": "https://img.youtube.com/vi/5ctsUsvIp8w/hqdefault.jpg", "youtube_id": "5ctsUsvIp8w", "content_kind": "Video", "readable_id": "plot-ordered-pairs"}, {"translated_youtube_id": "1op92ojA6q0", "relative_url": "/video/quadrants-of-coordinate-plane", "has_questions": false, "keywords": "u13_l1_t1_we2, Quadrants, of, Coordinate, Plane, CC_6_NS_6, CC_6_NS_6_b, CC_6_NS_6_c", "ka_url": "http://www.khanacademy.org/video/quadrants-of-coordinate-plane", "duration": 144, "translated_title": "Quadrants of coordinate plane", "translated_description_html": "Quadrants of Coordinate Plane", "id": "33752747", "description_html": "Quadrants of Coordinate Plane", "title": "Quadrants of coordinate plane", "progress_key": "v33752747", "edit_slug": "edit/v/33752747", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quadrants of Coordinate Plane", "extra_properties": null, "node_slug": "v/quadrants-of-coordinate-plane", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.m3u8/1op92ojA6q0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1op92ojA6q0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752747", "sha": "26459ed73d5318f59c643793fd87f9c9d48da2df", "translated_description": "Quadrants of Coordinate Plane", "image_url": "https://img.youtube.com/vi/1op92ojA6q0/hqdefault.jpg", "youtube_id": "1op92ojA6q0", "content_kind": "Video", "readable_id": "quadrants-of-coordinate-plane"}, {"translated_youtube_id": "HUn4XwV7o9I", "relative_url": "/video/ordered-pair-solutions-of-equations", "has_questions": false, "keywords": "u13_l1_t2_we3, Ordered, pair, solutions, of, equations, CC_8_EE_7_a, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/ordered-pair-solutions-of-equations", "duration": 89, "translated_title": "Ordered pair solutions of equations", "translated_description_html": " Ordered pair solutions of equations", "id": "561901044", "description_html": " Ordered pair solutions of equations", "title": "Ordered pair solutions of equations", "progress_key": "v561901044", "edit_slug": "edit/v/561901044", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Ordered pair solutions of equations", "extra_properties": null, "node_slug": "v/ordered-pair-solutions-of-equations", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.m3u8/HUn4XwV7o9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HUn4XwV7o9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561901044", "sha": "2515c4eec09305e1b1745ce43ffd919f7ec5ecab", "translated_description": " Ordered pair solutions of equations", "image_url": "https://img.youtube.com/vi/HUn4XwV7o9I/hqdefault.jpg", "youtube_id": "HUn4XwV7o9I", "content_kind": "Video", "readable_id": "ordered-pair-solutions-of-equations"}, {"translated_youtube_id": "SSNA9gaAOVc", "relative_url": "/video/ordered-pair-solutions-of-equations-2", "has_questions": false, "keywords": "u13, l1, t2, we3, Ordered, Pair, Solutions, of, Equations", "ka_url": "http://www.khanacademy.org/video/ordered-pair-solutions-of-equations-2", "duration": 306, "translated_title": "Ordered pair solutions of equations 2", "translated_description_html": "Ordered Pair Solutions of Equations", "id": "466056216", "description_html": "Ordered Pair Solutions of Equations", "title": "Ordered pair solutions of equations 2", "progress_key": "v466056216", "edit_slug": "edit/v/466056216", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ordered Pair Solutions of Equations", "extra_properties": null, "node_slug": "v/ordered-pair-solutions-of-equations-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.mp4/SSNA9gaAOVc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.mp4/SSNA9gaAOVc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SSNA9gaAOVc.m3u8/SSNA9gaAOVc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SSNA9gaAOVc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466056216", "sha": "f3b606c3a2177d28cb01d4525259cec37cf3dd0f", "translated_description": "Ordered Pair Solutions of Equations", "image_url": "https://img.youtube.com/vi/SSNA9gaAOVc/hqdefault.jpg", "youtube_id": "SSNA9gaAOVc", "content_kind": "Video", "readable_id": "ordered-pair-solutions-of-equations-2"}, {"translated_youtube_id": "AZroE4fJqtQ", "relative_url": "/video/recognizing-linear-functions", "has_questions": false, "keywords": "U03_L2_T5_we1, Recognizing, Linear, Functions, CC_8_F_3, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/recognizing-linear-functions", "duration": 241, "translated_title": "Recognizing linear functions", "translated_description_html": "Recognizing Linear Functions", "id": "26798", "description_html": "Recognizing Linear Functions", "title": "Recognizing linear functions", "progress_key": "v26798", "edit_slug": "edit/v/26798", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Recognizing Linear Functions", "extra_properties": null, "node_slug": "v/recognizing-linear-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.m3u8/AZroE4fJqtQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AZroE4fJqtQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26798", "sha": "88733f3a4716687fe25432cb9334bf503a539d61", "translated_description": "Recognizing Linear Functions", "image_url": "https://img.youtube.com/vi/AZroE4fJqtQ/hqdefault.jpg", "youtube_id": "AZroE4fJqtQ", "content_kind": "Video", "readable_id": "recognizing-linear-functions"}], "twitter_url": "", "translated_description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", "x_pos": 0.0, "node_slug": "graphing_coordinates", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax492f7f63", "topic_page_url": "/math/trigonometry/graphs/graphing_coordinates", "extended_slug": "math/trigonometry/graphs/graphing_coordinates", "slug": "graphing_coordinates", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d73d34db12e19974c4dee2eab5ec828cdb02c3ee", "standalone_title": "The coordinate plane", "y_pos": 0.0, "current_revision_key": "d73d34db12e19974c4dee2eab5ec828cdb02c3ee", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/slope_of_line", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/slope_of_line", "translated_standalone_title": "Slope", "translated_title": "Slope", "gplus_url": "", "id": "xec305270", "old_key_name": "DXL47hv1Ou3P1VcoWCu7NXMP8YeUX4goxvIaHiSc", "hide": false, "title": "Slope", "child_data": [{"kind": "Video", "id": 26800}, {"kind": "Video", "id": 33752752}, {"kind": "Video", "id": 23636}, {"kind": "Video", "id": 33752751}, {"kind": "Video", "id": 33752753}, {"kind": "Exercise", "id": 20874}, {"kind": "Video", "id": 23448}, {"kind": "Exercise", "id": 21374}], "children": [{"translated_youtube_id": "R948Tsyq4vA", "relative_url": "/video/slope-of-a-line", "has_questions": false, "keywords": "U04_L1_T1_we1, Slope, of, line, CC_8_EE_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line", "duration": 280, "translated_title": "Slope of a line", "translated_description_html": "Slope of a line", "id": "26800", "description_html": "Slope of a line", "title": "Slope of a line", "progress_key": "v26800", "edit_slug": "edit/v/26800", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a line", "extra_properties": null, "node_slug": "v/slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R948Tsyq4vA.m3u8/R948Tsyq4vA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R948Tsyq4vA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26800", "sha": "2e28524814fb0b29b1be674ff0d7b20ffd08288a", "translated_description": "Slope of a line", "image_url": "https://img.youtube.com/vi/R948Tsyq4vA/hqdefault.jpg", "youtube_id": "R948Tsyq4vA", "content_kind": "Video", "readable_id": "slope-of-a-line"}, {"translated_youtube_id": "WkspBxrzuZo", "relative_url": "/video/slope-of-a-line-2", "has_questions": false, "keywords": "u13_l2_t1_we2, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-2", "duration": 432, "translated_title": "Slope of a line 2", "translated_description_html": "Slope of a Line 2", "id": "33752752", "description_html": "Slope of a Line 2", "title": "Slope of a line 2", "progress_key": "v33752752", "edit_slug": "edit/v/33752752", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 2", "extra_properties": null, "node_slug": "v/slope-of-a-line-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WkspBxrzuZo.m3u8/WkspBxrzuZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WkspBxrzuZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752752", "sha": "c1d57e2abf3c543811f8904778a0f5a3a52e3f24", "translated_description": "Slope of a Line 2", "image_url": "https://img.youtube.com/vi/WkspBxrzuZo/hqdefault.jpg", "youtube_id": "WkspBxrzuZo", "content_kind": "Video", "readable_id": "slope-of-a-line-2"}, {"translated_youtube_id": "Iqws-qzyZwc", "relative_url": "/video/slope-and-rate-of-change", "has_questions": false, "keywords": "SlopeAndRateOfChange, CC_8_EE_6, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/slope-and-rate-of-change", "duration": 822, "translated_title": "Slope and rate of change", "translated_description_html": null, "id": "23636", "description_html": null, "title": "Slope and rate of change", "progress_key": "v23636", "edit_slug": "edit/v/23636", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/slope-and-rate-of-change", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.m3u8/Iqws-qzyZwc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iqws-qzyZwc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23636", "sha": "07c5b6d44a72546e6bb192cef940802044ccea03", "translated_description": null, "image_url": "https://img.youtube.com/vi/Iqws-qzyZwc/hqdefault.jpg", "youtube_id": "Iqws-qzyZwc", "content_kind": "Video", "readable_id": "slope-and-rate-of-change"}, {"translated_youtube_id": "81SseQCpGws", "relative_url": "/video/graphical-slope-of-a-line", "has_questions": false, "keywords": "u13_l2_t1_we1, Graphical, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/graphical-slope-of-a-line", "duration": 240, "translated_title": "Graphical slope of a line", "translated_description_html": "Graphical Slope of a Line", "id": "33752751", "description_html": "Graphical Slope of a Line", "title": "Graphical slope of a line", "progress_key": "v33752751", "edit_slug": "edit/v/33752751", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphical Slope of a Line", "extra_properties": null, "node_slug": "v/graphical-slope-of-a-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.m3u8/81SseQCpGws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=81SseQCpGws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752751", "sha": "f7f48d5609a478158879cccb946f001f61d63e80", "translated_description": "Graphical Slope of a Line", "image_url": "https://img.youtube.com/vi/81SseQCpGws/hqdefault.jpg", "youtube_id": "81SseQCpGws", "content_kind": "Video", "readable_id": "graphical-slope-of-a-line"}, {"translated_youtube_id": "CFSHq099Mx0", "relative_url": "/video/slope-of-a-line-3", "has_questions": false, "keywords": "u13_l2_t1_we3, Slope, of, Line, CC_8_EE_5, CC_8_EE_6, CC_8_F_1, CC_8_F_5", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-3", "duration": 305, "translated_title": "Slope of a line 3", "translated_description_html": "Slope of a Line 3", "id": "33752753", "description_html": "Slope of a Line 3", "title": "Slope of a line 3", "progress_key": "v33752753", "edit_slug": "edit/v/33752753", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slope of a Line 3", "extra_properties": null, "node_slug": "v/slope-of-a-line-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CFSHq099Mx0.m3u8/CFSHq099Mx0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CFSHq099Mx0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752753", "sha": "0a6c9b4196aedc7a85e6e719c199901f048fd362", "translated_description": "Slope of a Line 3", "image_url": "https://img.youtube.com/vi/CFSHq099Mx0/hqdefault.jpg", "youtube_id": "CFSHq099Mx0", "content_kind": "Video", "readable_id": "slope-of-a-line-3"}, {"translated_youtube_id": "8sz1IPjBRS8", "relative_url": "/video/slope-and-y-intercept-intuition", "has_questions": false, "keywords": "slope, y-intercept, graph", "ka_url": "http://www.khanacademy.org/video/slope-and-y-intercept-intuition", "duration": 354, "translated_title": "Slope and y-intercept intuition", "translated_description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "id": "23448", "description_html": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "title": "Slope and y-intercept intuition", "progress_key": "v23448", "edit_slug": "edit/v/23448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "extra_properties": null, "node_slug": "v/slope-and-y-intercept-intuition", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:27:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.mp4/8sz1IPjBRS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8sz1IPjBRS8.m3u8/8sz1IPjBRS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8sz1IPjBRS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23448", "sha": "1932940a0e603cfd2e72405f0291eab5cfe97b06", "translated_description": "Using the \"Graph of a line\" module to understand how a line's graph changes when its slope or y-intercept is changed.", "image_url": "https://img.youtube.com/vi/8sz1IPjBRS8/hqdefault.jpg", "youtube_id": "8sz1IPjBRS8", "content_kind": "Video", "readable_id": "slope-and-y-intercept-intuition"}], "twitter_url": "", "translated_description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", "x_pos": 0.0, "node_slug": "slope_of_line", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axec305270", "topic_page_url": "/math/trigonometry/graphs/slope_of_line", "extended_slug": "math/trigonometry/graphs/slope_of_line", "slug": "slope_of_line", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "56bdf1e1cc78034bced9ef3808e6692f54243596", "standalone_title": "Slope", "y_pos": 0.0, "current_revision_key": "56bdf1e1cc78034bced9ef3808e6692f54243596", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/line_equation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/line_equation", "translated_standalone_title": "Equation of a line", "translated_title": "Equation of a line", "gplus_url": "", "id": "xda6333b9", "old_key_name": "5gcCMGLQ0rkhXISiGu3tVFtzFD5Q2wTHrBsNqpsl", "hide": false, "title": "Equation of a line", "child_data": [{"kind": "Video", "id": 26804}, {"kind": "Video", "id": 26806}, {"kind": "Exercise", "id": 379057519}, {"kind": "Video", "id": 23646}, {"kind": "Video", "id": 23638}, {"kind": "Video", "id": 23644}, {"kind": "Video", "id": 33752754}, {"kind": "Video", "id": 33752755}, {"kind": "Video", "id": 33752756}, {"kind": "Exercise", "id": 2021}, {"kind": "Exercise", "id": 523026328}, {"kind": "Video", "id": 23648}, {"kind": "Exercise", "id": 415258028}, {"kind": "Video", "id": 23650}, {"kind": "Video", "id": 26807}, {"kind": "Exercise", "id": 348018382}, {"kind": "Exercise", "id": 523015520}, {"kind": "Exercise", "id": 21438}], "children": [{"translated_youtube_id": "uk7gS3cZVp4", "relative_url": "/video/graphing-a-line-in-slope-intercept-form", "has_questions": false, "keywords": "U04_L1_T3_we1, Graphing, line, in, slope, intercept, form, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphing-a-line-in-slope-intercept-form", "duration": 182, "translated_title": "Graphing a line in slope intercept form", "translated_description_html": "Graphing a line in slope intercept form", "id": "26804", "description_html": "Graphing a line in slope intercept form", "title": "Graphing a line in slope intercept form", "progress_key": "v26804", "edit_slug": "edit/v/26804", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a line in slope intercept form", "extra_properties": null, "node_slug": "v/graphing-a-line-in-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.m3u8/uk7gS3cZVp4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uk7gS3cZVp4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26804", "sha": "84bc4cb73b813ecff2ee89a3581662757c2a95fa", "translated_description": "Graphing a line in slope intercept form", "image_url": "https://img.youtube.com/vi/uk7gS3cZVp4/hqdefault.jpg", "youtube_id": "uk7gS3cZVp4", "content_kind": "Video", "readable_id": "graphing-a-line-in-slope-intercept-form"}, {"translated_youtube_id": "V6Xynlqc_tc", "relative_url": "/video/converting-to-slope-intercept-form", "has_questions": false, "keywords": "U04_L1_T4_we1, Converting, to, slope-intercept, form, CC_8_EE_5, CC_8_EE_8, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/converting-to-slope-intercept-form", "duration": 307, "translated_title": "Converting to slope-intercept form", "translated_description_html": "Converting to slope-intercept form", "id": "26806", "description_html": "Converting to slope-intercept form", "title": "Converting to slope-intercept form", "progress_key": "v26806", "edit_slug": "edit/v/26806", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting to slope-intercept form", "extra_properties": null, "node_slug": "v/converting-to-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.m3u8/V6Xynlqc_tc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V6Xynlqc_tc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26806", "sha": "4eadbd73a2f8058dde6c33df03fcb79e99d28e7e", "translated_description": "Converting to slope-intercept form", "image_url": "https://img.youtube.com/vi/V6Xynlqc_tc/hqdefault.jpg", "youtube_id": "V6Xynlqc_tc", "content_kind": "Video", "readable_id": "converting-to-slope-intercept-form"}, {"translated_youtube_id": "5fkh01mClLU", "relative_url": "/video/linear-equations-in-slope-intercept-form", "has_questions": false, "keywords": "Linear, Equations, in, Slope, Intercept, Form, CC_8_EE_6, CC_8_F_3, CC_8_F_4", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-slope-intercept-form", "duration": 898, "translated_title": "Multiple examples of constructing linear equations in slope-intercept form", "translated_description_html": "

Linear Equations in Slope Intercept Form<\/p>\n", "id": "23646", "description_html": "

Linear Equations in Slope Intercept Form<\/p>\n", "title": "Multiple examples of constructing linear equations in slope-intercept form", "progress_key": "v23646", "edit_slug": "edit/v/23646", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Slope Intercept Form\n", "extra_properties": {"original_url": ""}, "node_slug": "v/linear-equations-in-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.mp4/5fkh01mClLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.mp4/5fkh01mClLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fkh01mClLU.m3u8/5fkh01mClLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fkh01mClLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23646", "sha": "c8f239ce6ce573eb315e12b510c6cee051ad8c4f", "translated_description": "Linear Equations in Slope Intercept Form\n", "image_url": "https://img.youtube.com/vi/5fkh01mClLU/hqdefault.jpg", "youtube_id": "5fkh01mClLU", "content_kind": "Video", "readable_id": "linear-equations-in-slope-intercept-form"}, {"translated_youtube_id": "9wOalujeZf4", "relative_url": "/video/graphs-using-slope-intercept-form", "has_questions": false, "keywords": "Graphs, Using, Slope, Intercept, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/graphs-using-slope-intercept-form", "duration": 671, "translated_title": "Constructing equations in slope-intercept form from graphs", "translated_description_html": "", "id": "23638", "description_html": "", "title": "Constructing equations in slope-intercept form from graphs", "progress_key": "v23638", "edit_slug": "edit/v/23638", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphs-using-slope-intercept-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.mp4/9wOalujeZf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.mp4/9wOalujeZf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9wOalujeZf4.m3u8/9wOalujeZf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9wOalujeZf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23638", "sha": "5158bc208dca235bd9ee0fc98b00836c82981fe9", "translated_description": "", "image_url": "https://img.youtube.com/vi/9wOalujeZf4/hqdefault.jpg", "youtube_id": "9wOalujeZf4", "content_kind": "Video", "readable_id": "graphs-using-slope-intercept-form"}, {"translated_youtube_id": "5EdbPz1ZVn0", "relative_url": "/video/word-problem-solving-4", "has_questions": false, "keywords": "Word, Problem, Solving", "ka_url": "http://www.khanacademy.org/video/word-problem-solving-4", "duration": 605, "translated_title": "Constructing linear equations to solve word problems", "translated_description_html": "

Constructing linear equations to solve word problems<\/p>\n", "id": "23644", "description_html": "

Constructing linear equations to solve word problems<\/p>\n", "title": "Constructing linear equations to solve word problems", "progress_key": "v23644", "edit_slug": "edit/v/23644", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Constructing linear equations to solve word problems\n", "extra_properties": {"original_url": ""}, "node_slug": "v/word-problem-solving-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.mp4/5EdbPz1ZVn0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.mp4/5EdbPz1ZVn0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5EdbPz1ZVn0.m3u8/5EdbPz1ZVn0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5EdbPz1ZVn0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23644", "sha": "8730af9d97d04c08b08aa8164c5173ac04f08345", "translated_description": "Constructing linear equations to solve word problems\n", "image_url": "https://img.youtube.com/vi/5EdbPz1ZVn0/hqdefault.jpg", "youtube_id": "5EdbPz1ZVn0", "content_kind": "Video", "readable_id": "word-problem-solving-4"}, {"translated_youtube_id": "AqFwKecNaTk", "relative_url": "/video/equation-of-a-line-1", "has_questions": false, "keywords": "u13_l2_t2_we1, Equation, of, line, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-1", "duration": 226, "translated_title": "Linear equation from slope and a point", "translated_description_html": "

Equation of a line<\/p>\n", "id": "33752754", "description_html": "

Equation of a line<\/p>\n", "title": "Linear equation from slope and a point", "progress_key": "v33752754", "edit_slug": "edit/v/33752754", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.m3u8/AqFwKecNaTk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AqFwKecNaTk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752754", "sha": "208b0af5356dd0e7300762c661c763ea2f6b1afc", "translated_description": "Equation of a line\n", "image_url": "https://img.youtube.com/vi/AqFwKecNaTk/hqdefault.jpg", "youtube_id": "AqFwKecNaTk", "content_kind": "Video", "readable_id": "equation-of-a-line-1"}, {"translated_youtube_id": "MxiqyE2uMCo", "relative_url": "/video/equation-of-a-line-2", "has_questions": false, "keywords": "u13_l2_t2_we2, Equation, of, line, CC_8_EE_6, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-2", "duration": 237, "translated_title": "Finding a linear equation given a point and slope", "translated_description_html": "

Equation of a line 2<\/p>\n", "id": "33752755", "description_html": "

Equation of a line 2<\/p>\n", "title": "Finding a linear equation given a point and slope", "progress_key": "v33752755", "edit_slug": "edit/v/33752755", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.m3u8/MxiqyE2uMCo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MxiqyE2uMCo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752755", "sha": "9548ed09706679c63ce451dbd89d24f6bc5401e1", "translated_description": "Equation of a line 2\n", "image_url": "https://img.youtube.com/vi/MxiqyE2uMCo/hqdefault.jpg", "youtube_id": "MxiqyE2uMCo", "content_kind": "Video", "readable_id": "equation-of-a-line-2"}, {"translated_youtube_id": "XMJ72mtMn4Y", "relative_url": "/video/equation-of-a-line-3", "has_questions": false, "keywords": "u13_l2_t2_we3, Equation, of, line, CC_8_EE_6, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/equation-of-a-line-3", "duration": 402, "translated_title": "Constructing the equation of a line given two points", "translated_description_html": "

Equation of a line 3<\/p>\n", "id": "33752756", "description_html": "

Equation of a line 3<\/p>\n", "title": "Constructing the equation of a line given two points", "progress_key": "v33752756", "edit_slug": "edit/v/33752756", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a line 3\n", "extra_properties": {"original_url": ""}, "node_slug": "v/equation-of-a-line-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.m3u8/XMJ72mtMn4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMJ72mtMn4Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752756", "sha": "6c52fcf1538a5b8d61ce9b68d0f1337418847d50", "translated_description": "Equation of a line 3\n", "image_url": "https://img.youtube.com/vi/XMJ72mtMn4Y/hqdefault.jpg", "youtube_id": "XMJ72mtMn4Y", "content_kind": "Video", "readable_id": "equation-of-a-line-3"}, {"translated_youtube_id": "zqCokP2vDGo", "relative_url": "/video/linear-equations-in-point-slope-form", "has_questions": false, "keywords": "Linear, Equations, in, Point, Slope, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-point-slope-form", "duration": 578, "translated_title": "Linear equations in point slope form", "translated_description_html": "Linear Equations in Point Slope Form", "id": "23648", "description_html": "Linear Equations in Point Slope Form", "title": "Linear equations in point slope form", "progress_key": "v23648", "edit_slug": "edit/v/23648", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Point Slope Form", "extra_properties": null, "node_slug": "v/linear-equations-in-point-slope-form", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.mp4/zqCokP2vDGo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.mp4/zqCokP2vDGo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zqCokP2vDGo.m3u8/zqCokP2vDGo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zqCokP2vDGo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23648", "sha": "d9891d379427fcf4b3554774d122bcf2a67ff0b3", "translated_description": "Linear Equations in Point Slope Form", "image_url": "https://img.youtube.com/vi/zqCokP2vDGo/hqdefault.jpg", "youtube_id": "zqCokP2vDGo", "content_kind": "Video", "readable_id": "linear-equations-in-point-slope-form"}, {"translated_youtube_id": "BaQXFstxCMo", "relative_url": "/video/linear-equations-in-standard-form", "has_questions": false, "keywords": "Linear, Equations, in, Standard, Form, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-equations-in-standard-form", "duration": 608, "translated_title": "Linear equations in standard form", "translated_description_html": "Linear Equations in Standard Form", "id": "23650", "description_html": "Linear Equations in Standard Form", "title": "Linear equations in standard form", "progress_key": "v23650", "edit_slug": "edit/v/23650", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Equations in Standard Form", "extra_properties": null, "node_slug": "v/linear-equations-in-standard-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.m3u8/BaQXFstxCMo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BaQXFstxCMo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23650", "sha": "5c3b7481564ba6b15ef7e2e487d186390609cef5", "translated_description": "Linear Equations in Standard Form", "image_url": "https://img.youtube.com/vi/BaQXFstxCMo/hqdefault.jpg", "youtube_id": "BaQXFstxCMo", "content_kind": "Video", "readable_id": "linear-equations-in-standard-form"}, {"translated_youtube_id": "-6Fu2T_RSGM", "relative_url": "/video/point-slope-and-standard-form", "has_questions": false, "keywords": "U04_L1_T4_we2, Point-slope, and, standard, form, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3", "ka_url": "http://www.khanacademy.org/video/point-slope-and-standard-form", "duration": 476, "translated_title": "Point-slope and standard form", "translated_description_html": "Point-slope and standard form", "id": "26807", "description_html": "Point-slope and standard form", "title": "Point-slope and standard form", "progress_key": "v26807", "edit_slug": "edit/v/26807", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Point-slope and standard form", "extra_properties": null, "node_slug": "v/point-slope-and-standard-form", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.mp4/-6Fu2T_RSGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.mp4/-6Fu2T_RSGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-6Fu2T_RSGM.m3u8/-6Fu2T_RSGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-6Fu2T_RSGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26807", "sha": "515ac7d9c7c95ff4e274f4b02d50eedafb8af203", "translated_description": "Point-slope and standard form", "image_url": "https://img.youtube.com/vi/-6Fu2T_RSGM/hqdefault.jpg", "youtube_id": "-6Fu2T_RSGM", "content_kind": "Video", "readable_id": "point-slope-and-standard-form"}], "twitter_url": "", "translated_description": "You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line including slope-intercept form, point-slope form, and standard form.\n\nThis tutorial will satisfy that curiosity!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line including slope-intercept form, point-slope form, and standard form.\n\nThis tutorial will satisfy that curiosity!", "x_pos": 0.0, "node_slug": "line_equation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda6333b9", "topic_page_url": "/math/trigonometry/graphs/line_equation", "extended_slug": "math/trigonometry/graphs/line_equation", "slug": "line_equation", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b9715fa31ca94975e14ce3201f08a6a02d2a92d1", "standalone_title": "Equation of a line", "y_pos": 0.0, "current_revision_key": "b9715fa31ca94975e14ce3201f08a6a02d2a92d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/midpoint_and_distance", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/midpoint_and_distance", "translated_standalone_title": "Midpoint and distance", "translated_title": "Midpoint and distance", "gplus_url": "", "id": "x3ad7fae0", "old_key_name": "mXaXkBsDW3Ms9nSK0IoVzsmVBlIVA0gPQiQFkhYZ", "hide": false, "title": "Midpoint and distance", "child_data": [{"kind": "Video", "id": 23758}, {"kind": "Exercise", "id": 13090861}, {"kind": "Video", "id": 23756}, {"kind": "Exercise", "id": 4514693}], "children": [{"translated_youtube_id": "Ez_-RwV9WVo", "relative_url": "/video/midpoint-formula", "has_questions": false, "keywords": "Midpoint, Formula", "ka_url": "http://www.khanacademy.org/video/midpoint-formula", "duration": 401, "translated_title": "Midpoint formula", "translated_description_html": "

Midpoint Formula<\/p>\n", "id": "23758", "description_html": "

Midpoint Formula<\/p>\n", "title": "Midpoint formula", "progress_key": "v23758", "edit_slug": "edit/v/23758", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Midpoint Formula\n", "extra_properties": {"original_url": ""}, "node_slug": "v/midpoint-formula", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.mp4/Ez_-RwV9WVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.mp4/Ez_-RwV9WVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ez_-RwV9WVo.m3u8/Ez_-RwV9WVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ez_-RwV9WVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23758", "sha": "dc4e97f74a7c995db52d1a17823965ce556c479a", "translated_description": "Midpoint Formula\n", "image_url": "https://img.youtube.com/vi/Ez_-RwV9WVo/hqdefault.jpg", "youtube_id": "Ez_-RwV9WVo", "content_kind": "Video", "readable_id": "midpoint-formula"}, {"translated_youtube_id": "nyZuite17Pc", "relative_url": "/video/distance-formula", "has_questions": false, "keywords": "Distance, formula, points, pythagorean, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/distance-formula", "duration": 579, "translated_title": "Distance formula", "translated_description_html": "How to find the distance between lines using the Pythagorean Formula", "id": "23756", "description_html": "How to find the distance between lines using the Pythagorean Formula", "title": "Distance formula", "progress_key": "v23756", "edit_slug": "edit/v/23756", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to find the distance between lines using the Pythagorean Formula", "extra_properties": null, "node_slug": "v/distance-formula", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nyZuite17Pc.m3u8/nyZuite17Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nyZuite17Pc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23756", "sha": "79f15ffdb5b98d8f8d05fab1e74e57abc91e473b", "translated_description": "How to find the distance between lines using the Pythagorean Formula", "image_url": "https://img.youtube.com/vi/nyZuite17Pc/hqdefault.jpg", "youtube_id": "nyZuite17Pc", "content_kind": "Video", "readable_id": "distance-formula"}], "twitter_url": "", "translated_description": "This tutorial covers some of the basics of analytic geometry: the distance between two points and the coordinate of the midpoint of two points.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial covers some of the basics of analytic geometry: the distance between two points and the coordinate of the midpoint of two points.", "x_pos": 0.0, "node_slug": "midpoint_and_distance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ad7fae0", "topic_page_url": "/math/trigonometry/graphs/midpoint_and_distance", "extended_slug": "math/trigonometry/graphs/midpoint_and_distance", "slug": "midpoint_and_distance", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b790297154a5b68acc25e7dad8b8a9e329b66ea4", "standalone_title": "Midpoint and distance", "y_pos": 0.0, "current_revision_key": "b790297154a5b68acc25e7dad8b8a9e329b66ea4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/parallel_perpendicular", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/parallel_perpendicular", "translated_standalone_title": "Equations of parallel and perpendicular lines", "translated_title": "Equations of parallel and perpendicular lines", "gplus_url": "", "id": "x933b8cb7", "old_key_name": "qUHxk0cw5ENaaFJDgdDuEA95FK2fnQp8N_HxUm8e", "hide": false, "title": "Equations of parallel and perpendicular lines", "child_data": [{"kind": "Video", "id": 466056217}, {"kind": "Video", "id": 23652}, {"kind": "Video", "id": 33752758}, {"kind": "Video", "id": 26808}, {"kind": "Video", "id": 26809}, {"kind": "Video", "id": 26810}, {"kind": "Video", "id": 26811}, {"kind": "Video", "id": 26812}, {"kind": "Exercise", "id": 13179420}, {"kind": "Exercise", "id": 520927569}], "children": [{"translated_youtube_id": "ndPq7gbin7A", "relative_url": "/video/perpendicular-line-slope", "has_questions": false, "keywords": "u13, l2, t3, we1, Perpendicular, Line, Slope", "ka_url": "http://www.khanacademy.org/video/perpendicular-line-slope", "duration": 151, "translated_title": "Perpendicular line slope", "translated_description_html": "u13 l2 t3 we1 Perpendicular Line Slope", "id": "466056217", "description_html": "u13 l2 t3 we1 Perpendicular Line Slope", "title": "Perpendicular line slope", "progress_key": "v466056217", "edit_slug": "edit/v/466056217", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "u13 l2 t3 we1 Perpendicular Line Slope", "extra_properties": null, "node_slug": "v/perpendicular-line-slope", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.m3u8/ndPq7gbin7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ndPq7gbin7A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v466056217", "sha": "00f0f9927f3cbf85eeb83cd7201d0e64ca8ed168", "translated_description": "u13 l2 t3 we1 Perpendicular Line Slope", "image_url": "https://img.youtube.com/vi/ndPq7gbin7A/hqdefault.jpg", "youtube_id": "ndPq7gbin7A", "content_kind": "Video", "readable_id": "perpendicular-line-slope"}, {"translated_youtube_id": "9hryH94KFJA", "relative_url": "/video/equations-of-parallel-and-perpendicular-lines", "has_questions": false, "keywords": "Equations, of, Parallel, and, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/equations-of-parallel-and-perpendicular-lines", "duration": 553, "translated_title": "Equations of parallel and perpendicular lines", "translated_description_html": "Equations of Parallel and Perpendicular Lines", "id": "23652", "description_html": "Equations of Parallel and Perpendicular Lines", "title": "Equations of parallel and perpendicular lines", "progress_key": "v23652", "edit_slug": "edit/v/23652", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations of Parallel and Perpendicular Lines", "extra_properties": null, "node_slug": "v/equations-of-parallel-and-perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.m3u8/9hryH94KFJA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9hryH94KFJA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23652", "sha": "31b7ad6a9b1b780c5ec7f15bf099fda303ebea06", "translated_description": "Equations of Parallel and Perpendicular Lines", "image_url": "https://img.youtube.com/vi/9hryH94KFJA/hqdefault.jpg", "youtube_id": "9hryH94KFJA", "content_kind": "Video", "readable_id": "equations-of-parallel-and-perpendicular-lines"}, {"translated_youtube_id": "4Cmv7dUgggU", "relative_url": "/video/parallel-line-equation", "has_questions": false, "keywords": "u13_l2_t3_we2, Parallel, Line, Equation", "ka_url": "http://www.khanacademy.org/video/parallel-line-equation", "duration": 264, "translated_title": "Parallel line equation", "translated_description_html": "Parallel Line Equation", "id": "33752758", "description_html": "Parallel Line Equation", "title": "Parallel line equation", "progress_key": "v33752758", "edit_slug": "edit/v/33752758", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Line Equation", "extra_properties": null, "node_slug": "v/parallel-line-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.m3u8/4Cmv7dUgggU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Cmv7dUgggU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752758", "sha": "3463b8b80927e17cfc3ea56526852af6b4da84c1", "translated_description": "Parallel Line Equation", "image_url": "https://img.youtube.com/vi/4Cmv7dUgggU/hqdefault.jpg", "youtube_id": "4Cmv7dUgggU", "content_kind": "Video", "readable_id": "parallel-line-equation"}, {"translated_youtube_id": "T-aCweuimis", "relative_url": "/video/parallel-lines", "has_questions": false, "keywords": "U04_L2_T1_we1, Parallel, Lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines", "duration": 228, "translated_title": "Parallel lines", "translated_description_html": "Parallel Lines", "id": "26808", "description_html": "Parallel Lines", "title": "Parallel lines", "progress_key": "v26808", "edit_slug": "edit/v/26808", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Lines", "extra_properties": null, "node_slug": "v/parallel-lines", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.mp4/T-aCweuimis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.mp4/T-aCweuimis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T-aCweuimis.m3u8/T-aCweuimis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T-aCweuimis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26808", "sha": "d338f58ff34a4b7270f29159dcfc703416f068e5", "translated_description": "Parallel Lines", "image_url": "https://img.youtube.com/vi/T-aCweuimis/hqdefault.jpg", "youtube_id": "T-aCweuimis", "content_kind": "Video", "readable_id": "parallel-lines"}, {"translated_youtube_id": "lOWXZFP8Vuc", "relative_url": "/video/parallel-lines-2", "has_questions": false, "keywords": "U04_L2_T1_we2, Parallel, Lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines-2", "duration": 183, "translated_title": "Parallel lines 2", "translated_description_html": "Parallel Lines 2", "id": "26809", "description_html": "Parallel Lines 2", "title": "Parallel lines 2", "progress_key": "v26809", "edit_slug": "edit/v/26809", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel Lines 2", "extra_properties": null, "node_slug": "v/parallel-lines-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.m3u8/lOWXZFP8Vuc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lOWXZFP8Vuc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26809", "sha": "67ffb156124645683d27e72761487b4ec07e180e", "translated_description": "Parallel Lines 2", "image_url": "https://img.youtube.com/vi/lOWXZFP8Vuc/hqdefault.jpg", "youtube_id": "lOWXZFP8Vuc", "content_kind": "Video", "readable_id": "parallel-lines-2"}, {"translated_youtube_id": "y5yNi08cr6I", "relative_url": "/video/parallel-lines-3", "has_questions": false, "keywords": "U04_L2_T1_we3, Parallel, lines", "ka_url": "http://www.khanacademy.org/video/parallel-lines-3", "duration": 162, "translated_title": "Parallel lines 3", "translated_description_html": "Parallel lines 3", "id": "26810", "description_html": "Parallel lines 3", "title": "Parallel lines 3", "progress_key": "v26810", "edit_slug": "edit/v/26810", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallel lines 3", "extra_properties": null, "node_slug": "v/parallel-lines-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:28:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.m3u8/y5yNi08cr6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y5yNi08cr6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26810", "sha": "a2290a1aa9d085321dc696f778a3c92ecd1eece0", "translated_description": "Parallel lines 3", "image_url": "https://img.youtube.com/vi/y5yNi08cr6I/hqdefault.jpg", "youtube_id": "y5yNi08cr6I", "content_kind": "Video", "readable_id": "parallel-lines-3"}, {"translated_youtube_id": "0671cRNjeKI", "relative_url": "/video/perpendicular-lines", "has_questions": false, "keywords": "U04_L2_T2_we1, Perpendicular, Lines", "ka_url": "http://www.khanacademy.org/video/perpendicular-lines", "duration": 209, "translated_title": "Perpendicular lines", "translated_description_html": "Perpendicular Lines", "id": "26811", "description_html": "Perpendicular Lines", "title": "Perpendicular lines", "progress_key": "v26811", "edit_slug": "edit/v/26811", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perpendicular Lines", "extra_properties": null, "node_slug": "v/perpendicular-lines", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.mp4/0671cRNjeKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.mp4/0671cRNjeKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0671cRNjeKI.m3u8/0671cRNjeKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0671cRNjeKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26811", "sha": "f7bb216d255887eebed43a90600d463ab3cff396", "translated_description": "Perpendicular Lines", "image_url": "https://img.youtube.com/vi/0671cRNjeKI/hqdefault.jpg", "youtube_id": "0671cRNjeKI", "content_kind": "Video", "readable_id": "perpendicular-lines"}, {"translated_youtube_id": "TsEhZRT16LU", "relative_url": "/video/perpendicular-lines-2", "has_questions": false, "keywords": "U04_L2_T2_we2, Perpendicular, lines", "ka_url": "http://www.khanacademy.org/video/perpendicular-lines-2", "duration": 181, "translated_title": "Perpendicular lines 2", "translated_description_html": "Perpendicular lines 2", "id": "26812", "description_html": "Perpendicular lines 2", "title": "Perpendicular lines 2", "progress_key": "v26812", "edit_slug": "edit/v/26812", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Perpendicular lines 2", "extra_properties": null, "node_slug": "v/perpendicular-lines-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.mp4/TsEhZRT16LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.mp4/TsEhZRT16LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TsEhZRT16LU.m3u8/TsEhZRT16LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TsEhZRT16LU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26812", "sha": "478aec2aeaee3eadf297cc8a8e8f4b6e32c50a1b", "translated_description": "Perpendicular lines 2", "image_url": "https://img.youtube.com/vi/TsEhZRT16LU/hqdefault.jpg", "youtube_id": "TsEhZRT16LU", "content_kind": "Video", "readable_id": "perpendicular-lines-2"}], "twitter_url": "", "translated_description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about the equations of parallel and perpendicular lines. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about the equations of parallel and perpendicular lines. Enjoy!", "x_pos": 0.0, "node_slug": "parallel_perpendicular", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax933b8cb7", "topic_page_url": "/math/trigonometry/graphs/parallel_perpendicular", "extended_slug": "math/trigonometry/graphs/parallel_perpendicular", "slug": "parallel_perpendicular", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b52af1883aecbfa29b67790bee84a1eacdfbf329", "standalone_title": "Equations of parallel and perpendicular lines", "y_pos": 0.0, "current_revision_key": "b52af1883aecbfa29b67790bee84a1eacdfbf329", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/graphs/graphing_inequalities", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/graphs/graphing_inequalities", "translated_standalone_title": "Graphing inequalities", "translated_title": "Graphing inequalities", "gplus_url": "", "id": "xdebe6655", "old_key_name": "LNp7G0Jh1yHrS4FTymhTwGDKN2vZ6Nd2sdK8TAQ5", "hide": false, "title": "Graphing inequalities", "child_data": [{"kind": "Video", "id": 23672}, {"kind": "Video", "id": 26822}, {"kind": "Video", "id": 2600589}, {"kind": "Video", "id": 33752760}, {"kind": "Video", "id": 26874}, {"kind": "Exercise", "id": 1080939128}, {"kind": "Exercise", "id": 237920064}, {"kind": "Exercise", "id": 379074129}], "children": [{"translated_youtube_id": "unSBFwK881s", "relative_url": "/video/graphing-inequalities", "has_questions": false, "keywords": "Graphing, Inequalities", "ka_url": "http://www.khanacademy.org/video/graphing-inequalities", "duration": 483, "translated_title": "Graphing inequalities", "translated_description_html": "Graphing Inequalities", "id": "23672", "description_html": "Graphing Inequalities", "title": "Graphing inequalities", "progress_key": "v23672", "edit_slug": "edit/v/23672", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Inequalities", "extra_properties": null, "node_slug": "v/graphing-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.m3u8/unSBFwK881s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=unSBFwK881s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23672", "sha": "fdc75a0efc74187558208921a071a05effd8c646", "translated_description": "Graphing Inequalities", "image_url": "https://img.youtube.com/vi/unSBFwK881s/hqdefault.jpg", "youtube_id": "unSBFwK881s", "content_kind": "Video", "readable_id": "graphing-inequalities"}, {"translated_youtube_id": "EoCeL4SPIcA", "relative_url": "/video/solving-and-graphing-linear-inequalities-in-two-variables-1", "has_questions": false, "keywords": "U05_L2_T1_we1, Solving, and, graphing, linear, inequalities, in, two, variables, CC_6_EE_8, CC_7_EE_4_b, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/solving-and-graphing-linear-inequalities-in-two-variables-1", "duration": 135, "translated_title": "Solving and graphing linear inequalities in two variables 1", "translated_description_html": "Solving and graphing linear inequalities in two variables", "id": "26822", "description_html": "Solving and graphing linear inequalities in two variables", "title": "Solving and graphing linear inequalities in two variables 1", "progress_key": "v26822", "edit_slug": "edit/v/26822", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving and graphing linear inequalities in two variables", "extra_properties": null, "node_slug": "v/solving-and-graphing-linear-inequalities-in-two-variables-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:28:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.m3u8/EoCeL4SPIcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EoCeL4SPIcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26822", "sha": "23b64ad14bc67c4eb037e503632013ec1acd7916", "translated_description": "Solving and graphing linear inequalities in two variables", "image_url": "https://img.youtube.com/vi/EoCeL4SPIcA/hqdefault.jpg", "youtube_id": "EoCeL4SPIcA", "content_kind": "Video", "readable_id": "solving-and-graphing-linear-inequalities-in-two-variables-1"}, {"translated_youtube_id": "FnrqBgot3jM", "relative_url": "/video/graphing-linear-inequalities-in-two-variables-example-2", "has_questions": false, "keywords": "U05, L2, T1, WE2, Graphing, Linear, Inequalities, in, Two, Variables, CC_39336_A-REI_10, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphing-linear-inequalities-in-two-variables-example-2", "duration": 183, "translated_title": "Graphing linear inequalities in two variables example 2", "translated_description_html": "Graphing Linear Inequalities in Two Variables", "id": "2600589", "description_html": "Graphing Linear Inequalities in Two Variables", "title": "Graphing linear inequalities in two variables example 2", "progress_key": "v2600589", "edit_slug": "edit/v/2600589", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Graphing Linear Inequalities in Two Variables", "extra_properties": null, "node_slug": "v/graphing-linear-inequalities-in-two-variables-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.m3u8/FnrqBgot3jM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FnrqBgot3jM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600589", "sha": "1ec34e028f1319a4ac69e951a3f4abab761fed31", "translated_description": "Graphing Linear Inequalities in Two Variables", "image_url": "https://img.youtube.com/vi/FnrqBgot3jM/hqdefault.jpg", "youtube_id": "FnrqBgot3jM", "content_kind": "Video", "readable_id": "graphing-linear-inequalities-in-two-variables-example-2"}, {"translated_youtube_id": "-aTy1ED1m5I", "relative_url": "/video/graphing-inequalities-2", "has_questions": false, "keywords": "u13_l2_t4_we2, Graphing, Inequalities", "ka_url": "http://www.khanacademy.org/video/graphing-inequalities-2", "duration": 320, "translated_title": "Graphing inequalities 2", "translated_description_html": "Graphing Inequalities 2", "id": "33752760", "description_html": "Graphing Inequalities 2", "title": "Graphing inequalities 2", "progress_key": "v33752760", "edit_slug": "edit/v/33752760", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing Inequalities 2", "extra_properties": null, "node_slug": "v/graphing-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.m3u8/-aTy1ED1m5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-aTy1ED1m5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752760", "sha": "d40a4a63cc0833847b7fc25f4f3987512c8084c9", "translated_description": "Graphing Inequalities 2", "image_url": "https://img.youtube.com/vi/-aTy1ED1m5I/hqdefault.jpg", "youtube_id": "-aTy1ED1m5I", "content_kind": "Video", "readable_id": "graphing-inequalities-2"}, {"translated_youtube_id": "YBYu5aZPLeg", "relative_url": "/video/graphing-linear-inequalities-in-two-variables-3", "has_questions": false, "keywords": "U05_L2_T1_we3, Graphing, linear, inequalities, in, two, variables", "ka_url": "http://www.khanacademy.org/video/graphing-linear-inequalities-in-two-variables-3", "duration": 200, "translated_title": "Graphing linear inequalities in two variables 3", "translated_description_html": "Graphing linear inequalities in two variables", "id": "26874", "description_html": "Graphing linear inequalities in two variables", "title": "Graphing linear inequalities in two variables 3", "progress_key": "v26874", "edit_slug": "edit/v/26874", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing linear inequalities in two variables", "extra_properties": null, "node_slug": "v/graphing-linear-inequalities-in-two-variables-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.mp4/YBYu5aZPLeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.mp4/YBYu5aZPLeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YBYu5aZPLeg.m3u8/YBYu5aZPLeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YBYu5aZPLeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26874", "sha": "f18cde684c2d8fbca7d2c762deda0d721968e068", "translated_description": "Graphing linear inequalities in two variables", "image_url": "https://img.youtube.com/vi/YBYu5aZPLeg/hqdefault.jpg", "youtube_id": "YBYu5aZPLeg", "content_kind": "Video", "readable_id": "graphing-linear-inequalities-in-two-variables-3"}], "twitter_url": "", "translated_description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", "x_pos": 0.0, "node_slug": "graphing_inequalities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdebe6655", "topic_page_url": "/math/trigonometry/graphs/graphing_inequalities", "extended_slug": "math/trigonometry/graphs/graphing_inequalities", "slug": "graphing_inequalities", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f9d172c3a7d882cc7399808bc3f13786c0545693", "standalone_title": "Graphing inequalities", "y_pos": 0.0, "current_revision_key": "f9d172c3a7d882cc7399808bc3f13786c0545693", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Thinking about graphing on a coordinate plane, slope and other analytic geometry.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Thinking about graphing on a coordinate plane, slope and other analytic geometry.", "x_pos": 0.0, "node_slug": "graphs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12c891d3", "topic_page_url": "/math/trigonometry/graphs", "extended_slug": "math/trigonometry/graphs", "slug": "graphs", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a7b5032bcc9b74a5f0711ba2f63b4de6f5a6810c", "standalone_title": "Graphs", "y_pos": 0.0, "current_revision_key": "a7b5032bcc9b74a5f0711ba2f63b4de6f5a6810c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs", "translated_standalone_title": "Functions and their graphs", "translated_title": "Functions and their graphs", "gplus_url": "", "id": "x5bd354c4", "old_key_name": "zfwxjShmJ1KJaukMHfnhtDiqU2b5y4K8l1Fywbi0", "hide": false, "title": "Functions and their graphs", "child_data": [{"kind": "Topic", "id": "x89673bba"}, {"kind": "Topic", "id": "x1e63188f"}, {"kind": "Topic", "id": "xd8b0621a"}, {"kind": "Topic", "id": "x37cf59a0"}, {"kind": "Topic", "id": "x24ccd218"}, {"kind": "Topic", "id": "x2e94cc94"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/function_introduction", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction", "translated_standalone_title": "Introduction to functions", "translated_title": "Introduction to functions", "gplus_url": "", "id": "x89673bba", "old_key_name": "6Deqpp7LmvKbahcNI_89zD8FH-y70m1yM2haAuv2", "hide": false, "title": "Introduction to functions", "child_data": [{"kind": "Video", "id": "x2ec1ec8a"}, {"kind": "Video", "id": 23642}, {"kind": "Video", "id": 26796}, {"kind": "Video", "id": 23506}, {"kind": "Video", "id": 23592}, {"kind": "Video", "id": "xfb8b05cd"}, {"kind": "Exercise", "id": 3030}, {"kind": "Video", "id": 23508}, {"kind": "Video", "id": 23510}, {"kind": "Video", "id": 364981332}, {"kind": "Video", "id": 364967636}, {"kind": "Video", "id": 364954028}, {"kind": "Video", "id": 364954027}, {"kind": "Exercise", "id": 3035}, {"kind": "Exercise", "id": 47887257}, {"kind": "Video", "id": 23512}, {"kind": "Exercise", "id": 2025}], "children": [{"translated_youtube_id": "kvGsIo1TmsM", "relative_url": "/video/what-is-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-a-function", "duration": 477, "translated_title": "What is a function", "translated_description_html": "", "id": "x2ec1ec8a", "description_html": "", "title": "What is a function", "progress_key": "vx2ec1ec8a", "edit_slug": "edit/v/x2ec1ec8a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/what-is-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-06T21:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.mp4/kvGsIo1TmsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kvGsIo1TmsM.m3u8/kvGsIo1TmsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kvGsIo1TmsM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2ec1ec8a", "sha": "60df92ae78690f88902f56fa7b30f6058f5ac07b", "translated_description": "", "image_url": "https://img.youtube.com/vi/kvGsIo1TmsM/hqdefault.jpg", "youtube_id": "kvGsIo1TmsM", "content_kind": "Video", "readable_id": "what-is-a-function"}, {"translated_youtube_id": "EmTvdKkAUtE", "relative_url": "/video/linear-function-graphs", "has_questions": false, "keywords": "Linear, Function, Graphs, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/linear-function-graphs", "duration": 709, "translated_title": "Function example problems", "translated_description_html": "Linear Function Graphs", "id": "23642", "description_html": "Linear Function Graphs", "title": "Function example problems", "progress_key": "v23642", "edit_slug": "edit/v/23642", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Function Graphs", "extra_properties": null, "node_slug": "v/linear-function-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.mp4/EmTvdKkAUtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EmTvdKkAUtE.m3u8/EmTvdKkAUtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EmTvdKkAUtE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23642", "sha": "e639606f3ed40b051c82e500126a533846314df4", "translated_description": "Linear Function Graphs", "image_url": "https://img.youtube.com/vi/EmTvdKkAUtE/hqdefault.jpg", "youtube_id": "EmTvdKkAUtE", "content_kind": "Video", "readable_id": "linear-function-graphs"}, {"translated_youtube_id": "YB1XuQ1Pc5s", "relative_url": "/video/basic-linear-function", "has_questions": false, "keywords": "U03_L2_T4_we1, Basic, Linear, Function, CC_8_F_3, CC_8_F_4", "ka_url": "http://www.khanacademy.org/video/basic-linear-function", "duration": 162, "translated_title": "Ex: Constructing a function", "translated_description_html": "Basic Linear Function", "id": "26796", "description_html": "Basic Linear Function", "title": "Ex: Constructing a function", "progress_key": "v26796", "edit_slug": "edit/v/26796", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic Linear Function", "extra_properties": null, "node_slug": "v/basic-linear-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.mp4/YB1XuQ1Pc5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.mp4/YB1XuQ1Pc5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YB1XuQ1Pc5s.m3u8/YB1XuQ1Pc5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YB1XuQ1Pc5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26796", "sha": "2251cb298fdb751f70a1d4d04336aeab94f0cc6d", "translated_description": "Basic Linear Function", "image_url": "https://img.youtube.com/vi/YB1XuQ1Pc5s/hqdefault.jpg", "youtube_id": "YB1XuQ1Pc5s", "content_kind": "Video", "readable_id": "basic-linear-function"}, {"translated_youtube_id": "XEblO51pF5I", "relative_url": "/video/functions-part-2", "has_questions": false, "keywords": "algebra, functions, math, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/functions-part-2", "duration": 593, "translated_title": "Functions (part 2)", "translated_description_html": "More examples of solving function problems", "id": "23506", "description_html": "More examples of solving function problems", "title": "Functions (part 2)", "progress_key": "v23506", "edit_slug": "edit/v/23506", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples of solving function problems", "extra_properties": null, "node_slug": "v/functions-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.m3u8/XEblO51pF5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XEblO51pF5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23506", "sha": "e0296948e249c57d3bf122893af52cbd8a6fd8e9", "translated_description": "More examples of solving function problems", "image_url": "https://img.youtube.com/vi/XEblO51pF5I/hqdefault.jpg", "youtube_id": "XEblO51pF5I", "content_kind": "Video", "readable_id": "functions-part-2"}, {"translated_youtube_id": "jQ-fS2lsslU", "relative_url": "/video/functions-as-graphs", "has_questions": false, "keywords": "Functions, As, Graphs, CC_8_F_1, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/functions-as-graphs", "duration": 575, "translated_title": "Functions as graphs", "translated_description_html": null, "id": "23592", "description_html": null, "title": "Functions as graphs", "progress_key": "v23592", "edit_slug": "edit/v/23592", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/functions-as-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.m3u8/jQ-fS2lsslU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQ-fS2lsslU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23592", "sha": "d9f5ff203f9086b22e0f92073a8cd209503a5ef2", "translated_description": null, "image_url": "https://img.youtube.com/vi/jQ-fS2lsslU/hqdefault.jpg", "youtube_id": "jQ-fS2lsslU", "content_kind": "Video", "readable_id": "functions-as-graphs"}, {"translated_youtube_id": "pikktRQSzTc", "relative_url": "/video/understanding-function-notation-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-function-notation-exercise", "duration": 140, "translated_title": "Understanding function notation exercise", "translated_description_html": "", "id": "xfb8b05cd", "description_html": "", "title": "Understanding function notation exercise", "progress_key": "vxfb8b05cd", "edit_slug": "edit/v/xfb8b05cd", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:39:48Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/understanding-function-notation-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-07-13T00:31:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pikktRQSzTc.mp4/pikktRQSzTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pikktRQSzTc.mp4/pikktRQSzTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pikktRQSzTc.m3u8/pikktRQSzTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pikktRQSzTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfb8b05cd", "sha": "a2ce73a4e8627444f4eebe11d8042a90e6eab4b3", "translated_description": "", "image_url": "https://img.youtube.com/vi/pikktRQSzTc/hqdefault.jpg", "youtube_id": "pikktRQSzTc", "content_kind": "Video", "readable_id": "understanding-function-notation-exercise"}, {"translated_youtube_id": "5fcRSie63Hs", "relative_url": "/video/functions--part-iii", "has_questions": false, "keywords": "Functions, algebra, f(x), math, CC_39336_F-IF_4", "ka_url": "http://www.khanacademy.org/video/functions--part-iii", "duration": 552, "translated_title": "Functions (part 3)", "translated_description_html": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "id": "23508", "description_html": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "title": "Functions (part 3)", "progress_key": "v23508", "edit_slug": "edit/v/23508", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "extra_properties": null, "node_slug": "v/functions--part-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.m3u8/5fcRSie63Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5fcRSie63Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23508", "sha": "e168620df06d01486685f2c9220749ff4a1b9e6c", "translated_description": "Even more examples of function exercises. Introduction of a graph as definition of a function.", "image_url": "https://img.youtube.com/vi/5fcRSie63Hs/hqdefault.jpg", "youtube_id": "5fcRSie63Hs", "content_kind": "Video", "readable_id": "functions--part-iii"}, {"translated_youtube_id": "rbt51hXmzig", "relative_url": "/video/functions--part-4", "has_questions": false, "keywords": "functions, algebra, math, compotise, f(x), g(x), khan, CC_39336_F-IF_8", "ka_url": "http://www.khanacademy.org/video/functions--part-4", "duration": 367, "translated_title": "Functions (part 4)", "translated_description_html": "An example of a functions problem submitted by a youtube viewer", "id": "23510", "description_html": "An example of a functions problem submitted by a youtube viewer", "title": "Functions (part 4)", "progress_key": "v23510", "edit_slug": "edit/v/23510", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An example of a functions problem submitted by a youtube viewer", "extra_properties": null, "node_slug": "v/functions--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.m3u8/rbt51hXmzig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rbt51hXmzig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23510", "sha": "c3a005e45571cf288753cf09c1905308b5185be4", "translated_description": "An example of a functions problem submitted by a youtube viewer", "image_url": "https://img.youtube.com/vi/rbt51hXmzig/hqdefault.jpg", "youtube_id": "rbt51hXmzig", "content_kind": "Video", "readable_id": "functions--part-4"}, {"translated_youtube_id": "n34dqyVCXs4", "relative_url": "/video/sum-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we1, Sum, of, Functions", "ka_url": "http://www.khanacademy.org/video/sum-of-functions", "duration": 153, "translated_title": "Sum of functions", "translated_description_html": "Sum of Functions", "id": "364981332", "description_html": "Sum of Functions", "title": "Sum of functions", "progress_key": "v364981332", "edit_slug": "edit/v/364981332", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sum of Functions", "extra_properties": null, "node_slug": "v/sum-of-functions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.mp4/n34dqyVCXs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.mp4/n34dqyVCXs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n34dqyVCXs4.m3u8/n34dqyVCXs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n34dqyVCXs4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981332", "sha": "be0700d03a135550e9594daaadc16246d2fe1897", "translated_description": "Sum of Functions", "image_url": "https://img.youtube.com/vi/n34dqyVCXs4/hqdefault.jpg", "youtube_id": "n34dqyVCXs4", "content_kind": "Video", "readable_id": "sum-of-functions"}, {"translated_youtube_id": "KvMyZY9upuA", "relative_url": "/video/difference-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we2, Difference, of, Functions", "ka_url": "http://www.khanacademy.org/video/difference-of-functions", "duration": 188, "translated_title": "Difference of functions", "translated_description_html": "Difference of Functions", "id": "364967636", "description_html": "Difference of Functions", "title": "Difference of functions", "progress_key": "v364967636", "edit_slug": "edit/v/364967636", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference of Functions", "extra_properties": null, "node_slug": "v/difference-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.mp4/KvMyZY9upuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.mp4/KvMyZY9upuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KvMyZY9upuA.m3u8/KvMyZY9upuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KvMyZY9upuA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967636", "sha": "14d7635ab74be696fadac0973f177c3c294d2fd3", "translated_description": "Difference of Functions", "image_url": "https://img.youtube.com/vi/KvMyZY9upuA/hqdefault.jpg", "youtube_id": "KvMyZY9upuA", "content_kind": "Video", "readable_id": "difference-of-functions"}, {"translated_youtube_id": "JKvmAexeMgY", "relative_url": "/video/product-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we3, Product, of, Functions", "ka_url": "http://www.khanacademy.org/video/product-of-functions", "duration": 180, "translated_title": "Product of functions", "translated_description_html": "Product of Functions", "id": "364954028", "description_html": "Product of Functions", "title": "Product of functions", "progress_key": "v364954028", "edit_slug": "edit/v/364954028", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Product of Functions", "extra_properties": null, "node_slug": "v/product-of-functions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.mp4/JKvmAexeMgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.mp4/JKvmAexeMgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JKvmAexeMgY.m3u8/JKvmAexeMgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JKvmAexeMgY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954028", "sha": "1b97b027cad3dcc4f40a38e7978b2d27586083aa", "translated_description": "Product of Functions", "image_url": "https://img.youtube.com/vi/JKvmAexeMgY/hqdefault.jpg", "youtube_id": "JKvmAexeMgY", "content_kind": "Video", "readable_id": "product-of-functions"}, {"translated_youtube_id": "u9v_bakOIcU", "relative_url": "/video/quotient-of-functions", "has_questions": false, "keywords": "u17_l3_t1_we4, Quotient, of, Functions", "ka_url": "http://www.khanacademy.org/video/quotient-of-functions", "duration": 378, "translated_title": "Quotient of functions", "translated_description_html": "Quotient of functions and factoring by grouping", "id": "364954027", "description_html": "Quotient of functions and factoring by grouping", "title": "Quotient of functions", "progress_key": "v364954027", "edit_slug": "edit/v/364954027", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Quotient of functions and factoring by grouping", "extra_properties": null, "node_slug": "v/quotient-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.m3u8/u9v_bakOIcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u9v_bakOIcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954027", "sha": "cdee09079a5a10de560dc7ee4dc6200076de5516", "translated_description": "Quotient of functions and factoring by grouping", "image_url": "https://img.youtube.com/vi/u9v_bakOIcU/hqdefault.jpg", "youtube_id": "u9v_bakOIcU", "content_kind": "Video", "readable_id": "quotient-of-functions"}, {"translated_youtube_id": "U-k5N1WPk4g", "relative_url": "/video/domain-of-a-function", "has_questions": false, "keywords": "domain, range, algebra, function, CC_39336_F-IF_2", "ka_url": "http://www.khanacademy.org/video/domain-of-a-function", "duration": 599, "translated_title": "Domain of a function", "translated_description_html": "Figuring out the domain of a function", "id": "23512", "description_html": "Figuring out the domain of a function", "title": "Domain of a function", "progress_key": "v23512", "edit_slug": "edit/v/23512", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the domain of a function", "extra_properties": null, "node_slug": "v/domain-of-a-function", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.m3u8/U-k5N1WPk4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U-k5N1WPk4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23512", "sha": "81f01ceb39ee16bf6fcfabe8877c94c943c42d4a", "translated_description": "Figuring out the domain of a function", "image_url": "https://img.youtube.com/vi/U-k5N1WPk4g/hqdefault.jpg", "youtube_id": "U-k5N1WPk4g", "content_kind": "Video", "readable_id": "domain-of-a-function"}], "twitter_url": "", "translated_description": "You've already been using functions in algebra, but just didn't realize it. Now you will. By introducing a little more notation and a few new ideas, you'll hopefully realize that functions are a very, very powerful tool.\n\nThis tutorial is an old one that Sal made in the early days of Khan Academy. It is rough on the edges (and in between the edges), but it does go through the basic idea of what a function is and how we can define and evaluate functions.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've already been using functions in algebra, but just didn't realize it. Now you will. By introducing a little more notation and a few new ideas, you'll hopefully realize that functions are a very, very powerful tool.\n\nThis tutorial is an old one that Sal made in the early days of Khan Academy. It is rough on the edges (and in between the edges), but it does go through the basic idea of what a function is and how we can define and evaluate functions.", "x_pos": 0.0, "node_slug": "function_introduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T01:26:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax89673bba", "topic_page_url": "/math/trigonometry/functions_and_graphs/function_introduction", "extended_slug": "math/trigonometry/functions_and_graphs/function_introduction", "slug": "function_introduction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f8f478928ddb7b0dbd4a7cefa7459cc1a798d9c8", "standalone_title": "Introduction to functions", "y_pos": 0.0, "current_revision_key": "f8f478928ddb7b0dbd4a7cefa7459cc1a798d9c8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/domain_range", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/domain_range", "translated_standalone_title": "Domain and range", "translated_title": "Domain and range", "gplus_url": "", "id": "x1e63188f", "old_key_name": "ztsxDHAzdnW4_iW1s1XttSTVlj1PUl3tp7V2YaX7", "hide": false, "title": "Domain and range", "child_data": [{"kind": "Video", "id": 23512}, {"kind": "Video", "id": 357927412}, {"kind": "Exercise", "id": 371794641}, {"kind": "Video", "id": 364981333}, {"kind": "Video", "id": 26792}, {"kind": "Video", "id": 364967637}, {"kind": "Exercise", "id": 2025}, {"kind": "Video", "id": 26793}, {"kind": "Video", "id": 23590}, {"kind": "Exercise", "id": 47889342}], "children": [{"translated_youtube_id": "U-k5N1WPk4g", "relative_url": "/video/domain-of-a-function", "has_questions": false, "keywords": "domain, range, algebra, function, CC_39336_F-IF_2", "ka_url": "http://www.khanacademy.org/video/domain-of-a-function", "duration": 599, "translated_title": "Domain of a function", "translated_description_html": "Figuring out the domain of a function", "id": "23512", "description_html": "Figuring out the domain of a function", "title": "Domain of a function", "progress_key": "v23512", "edit_slug": "edit/v/23512", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the domain of a function", "extra_properties": null, "node_slug": "v/domain-of-a-function", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.m3u8/U-k5N1WPk4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U-k5N1WPk4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23512", "sha": "81f01ceb39ee16bf6fcfabe8877c94c943c42d4a", "translated_description": "Figuring out the domain of a function", "image_url": "https://img.youtube.com/vi/U-k5N1WPk4g/hqdefault.jpg", "youtube_id": "U-k5N1WPk4g", "content_kind": "Video", "readable_id": "domain-of-a-function"}, {"translated_youtube_id": "g3LrOw1JMi8", "relative_url": "/video/domain-and-range-of-a-relation", "has_questions": false, "keywords": "u17_l1_t1_we1, Domain, and, Range, of, Relation", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-relation", "duration": 163, "translated_title": "Domain and range of a relation", "translated_description_html": "Domain and Range of a Relation", "id": "357927412", "description_html": "Domain and Range of a Relation", "title": "Domain and range of a relation", "progress_key": "v357927412", "edit_slug": "edit/v/357927412", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Domain and Range of a Relation", "extra_properties": null, "node_slug": "v/domain-and-range-of-a-relation", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-05T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.m3u8/g3LrOw1JMi8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g3LrOw1JMi8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v357927412", "sha": "cb3140bd4fa64517abfae90b76a5eaf628856641", "translated_description": "Domain and Range of a Relation", "image_url": "https://img.youtube.com/vi/g3LrOw1JMi8/hqdefault.jpg", "youtube_id": "g3LrOw1JMi8", "content_kind": "Video", "readable_id": "domain-and-range-of-a-relation"}, {"translated_youtube_id": "za0QJRZ-yQ4", "relative_url": "/video/domain-and-range-of-a-function-given-a-formula", "has_questions": false, "keywords": "u17_l2_t3_we1, Domain, and, Range, of, Function, Given, Formula", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-function-given-a-formula", "duration": 487, "translated_title": "Domain and range of a function given a formula", "translated_description_html": "Domain and Range of a Function Given a Formula", "id": "364981333", "description_html": "Domain and Range of a Function Given a Formula", "title": "Domain and range of a function given a formula", "progress_key": "v364981333", "edit_slug": "edit/v/364981333", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Domain and Range of a Function Given a Formula", "extra_properties": null, "node_slug": "v/domain-and-range-of-a-function-given-a-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.mp4/za0QJRZ-yQ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.mp4/za0QJRZ-yQ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/za0QJRZ-yQ4.m3u8/za0QJRZ-yQ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=za0QJRZ-yQ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364981333", "sha": "bd09ebbd0e0088ecc39c78c642c7ef829cbb24cf", "translated_description": "Domain and Range of a Function Given a Formula", "image_url": "https://img.youtube.com/vi/za0QJRZ-yQ4/hqdefault.jpg", "youtube_id": "za0QJRZ-yQ4", "content_kind": "Video", "readable_id": "domain-and-range-of-a-function-given-a-formula"}, {"translated_youtube_id": "C6F33Ir-sY4", "relative_url": "/video/domain-and-range-1", "has_questions": false, "keywords": "U03_L2_T2_we1, Domain, and, Range, CC_39336_F-IF_1, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/domain-and-range-1", "duration": 216, "translated_title": "Domain and range 1", "translated_description_html": "Domain and Range 1", "id": "26792", "description_html": "Domain and Range 1", "title": "Domain and range 1", "progress_key": "v26792", "edit_slug": "edit/v/26792", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain and Range 1", "extra_properties": null, "node_slug": "v/domain-and-range-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.mp4/C6F33Ir-sY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.mp4/C6F33Ir-sY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6F33Ir-sY4.m3u8/C6F33Ir-sY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6F33Ir-sY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26792", "sha": "994579ae0679bfa33e9875f9932fedbf861e32d3", "translated_description": "Domain and Range 1", "image_url": "https://img.youtube.com/vi/C6F33Ir-sY4/hqdefault.jpg", "youtube_id": "C6F33Ir-sY4", "content_kind": "Video", "readable_id": "domain-and-range-1"}, {"translated_youtube_id": "4h54s7BBPpA", "relative_url": "/video/domain-of-a-radical-function", "has_questions": false, "keywords": "u17_l2_t3_we2, Domain, of, Radical, Function", "ka_url": "http://www.khanacademy.org/video/domain-of-a-radical-function", "duration": 107, "translated_title": "Domain of a radical function", "translated_description_html": "Domain of a Radical Function", "id": "364967637", "description_html": "Domain of a Radical Function", "title": "Domain of a radical function", "progress_key": "v364967637", "edit_slug": "edit/v/364967637", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain of a Radical Function", "extra_properties": null, "node_slug": "v/domain-of-a-radical-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.mp4/4h54s7BBPpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.mp4/4h54s7BBPpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4h54s7BBPpA.m3u8/4h54s7BBPpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4h54s7BBPpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364967637", "sha": "c347368946c74f3b678e0f0b31e0b0e5073c8690", "translated_description": "Domain of a Radical Function", "image_url": "https://img.youtube.com/vi/4h54s7BBPpA/hqdefault.jpg", "youtube_id": "4h54s7BBPpA", "content_kind": "Video", "readable_id": "domain-of-a-radical-function"}, {"translated_youtube_id": "0lY4PcCYoyE", "relative_url": "/video/domain-and-range-2", "has_questions": false, "keywords": "U03_L2_T2_we2, Domain, and, Range, CC_8_F_1, CC_39336_F-IF_1", "ka_url": "http://www.khanacademy.org/video/domain-and-range-2", "duration": 188, "translated_title": "Domain and range 2", "translated_description_html": "Domain and Range 2", "id": "26793", "description_html": "Domain and Range 2", "title": "Domain and range 2", "progress_key": "v26793", "edit_slug": "edit/v/26793", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Domain and Range 2", "extra_properties": null, "node_slug": "v/domain-and-range-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:28:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.mp4/0lY4PcCYoyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.mp4/0lY4PcCYoyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0lY4PcCYoyE.m3u8/0lY4PcCYoyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0lY4PcCYoyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26793", "sha": "d51cec3d6f704c54a7e1b90a4af9d2207cdbc10d", "translated_description": "Domain and Range 2", "image_url": "https://img.youtube.com/vi/0lY4PcCYoyE/hqdefault.jpg", "youtube_id": "0lY4PcCYoyE", "content_kind": "Video", "readable_id": "domain-and-range-2"}, {"translated_youtube_id": "O0uUVH8dRiU", "relative_url": "/video/domain-and-range-of-a-function", "has_questions": false, "keywords": "Function, Domain, Range, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/domain-and-range-of-a-function", "duration": 772, "translated_title": "Domain and range of a function", "translated_description_html": null, "id": "23590", "description_html": null, "title": "Domain and range of a function", "progress_key": "v23590", "edit_slug": "edit/v/23590", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/domain-and-range-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.mp4/O0uUVH8dRiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.mp4/O0uUVH8dRiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O0uUVH8dRiU.m3u8/O0uUVH8dRiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O0uUVH8dRiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23590", "sha": "eef23c825410257f6905f4d645207e916cac92d6", "translated_description": null, "image_url": "https://img.youtube.com/vi/O0uUVH8dRiU/hqdefault.jpg", "youtube_id": "O0uUVH8dRiU", "content_kind": "Video", "readable_id": "domain-and-range-of-a-function"}], "twitter_url": "", "translated_description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", "x_pos": 0.0, "node_slug": "domain_range", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1e63188f", "topic_page_url": "/math/trigonometry/functions_and_graphs/domain_range", "extended_slug": "math/trigonometry/functions_and_graphs/domain_range", "slug": "domain_range", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "981263d1316f39ebfdf93596bdbc5ff48714612c", "standalone_title": "Domain and range", "y_pos": 0.0, "current_revision_key": "981263d1316f39ebfdf93596bdbc5ff48714612c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/fucntion_inverses", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/fucntion_inverses", "translated_standalone_title": "Function inverses", "translated_title": "Function inverses", "gplus_url": "", "id": "xd8b0621a", "old_key_name": "g5ktH7BCx_Ga_m3pcELWbI9IYufgoHAmqFeB3vKJ", "hide": false, "title": "Function inverses", "child_data": [{"kind": "Video", "id": 26633}, {"kind": "Video", "id": 26634}, {"kind": "Video", "id": 26635}, {"kind": "Video", "id": 26636}, {"kind": "Exercise", "id": 4089220}], "children": [{"translated_youtube_id": "W84lObmOp8M", "relative_url": "/video/introduction-to-function-inverses", "has_questions": false, "keywords": "function, inverse, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-function-inverses", "duration": 545, "translated_title": "Introduction to function inverses", "translated_description_html": "Introduction to Function Inverses", "id": "26633", "description_html": "Introduction to Function Inverses", "title": "Introduction to function inverses", "progress_key": "v26633", "edit_slug": "edit/v/26633", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Function Inverses", "extra_properties": null, "node_slug": "v/introduction-to-function-inverses", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.mp4/W84lObmOp8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.mp4/W84lObmOp8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W84lObmOp8M.m3u8/W84lObmOp8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W84lObmOp8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26633", "sha": "beced6ad6bcb6294933b86e380ad447202fe8402", "translated_description": "Introduction to Function Inverses", "image_url": "https://img.youtube.com/vi/W84lObmOp8M/hqdefault.jpg", "youtube_id": "W84lObmOp8M", "content_kind": "Video", "readable_id": "introduction-to-function-inverses"}, {"translated_youtube_id": "wSiamij_i_k", "relative_url": "/video/function-inverse-example-1", "has_questions": false, "keywords": "Function, Inverse, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_b", "ka_url": "http://www.khanacademy.org/video/function-inverse-example-1", "duration": 404, "translated_title": "Function inverse example 1", "translated_description_html": "Function Inverse Example 1", "id": "26634", "description_html": "Function Inverse Example 1", "title": "Function inverse example 1", "progress_key": "v26634", "edit_slug": "edit/v/26634", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverse Example 1", "extra_properties": null, "node_slug": "v/function-inverse-example-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.mp4/wSiamij_i_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.mp4/wSiamij_i_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wSiamij_i_k.m3u8/wSiamij_i_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wSiamij_i_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26634", "sha": "35b12aa319da7ae45cc1ff73549d9b00ad11a00f", "translated_description": "Function Inverse Example 1", "image_url": "https://img.youtube.com/vi/wSiamij_i_k/hqdefault.jpg", "youtube_id": "wSiamij_i_k", "content_kind": "Video", "readable_id": "function-inverse-example-1"}, {"translated_youtube_id": "aeyFb2eVH1c", "relative_url": "/video/function-inverses-example-2", "has_questions": false, "keywords": "Function, Inverses, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_d", "ka_url": "http://www.khanacademy.org/video/function-inverses-example-2", "duration": 432, "translated_title": "Function inverses example 2", "translated_description_html": "Function Inverses Example 2", "id": "26635", "description_html": "Function Inverses Example 2", "title": "Function inverses example 2", "progress_key": "v26635", "edit_slug": "edit/v/26635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverses Example 2", "extra_properties": null, "node_slug": "v/function-inverses-example-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.mp4/aeyFb2eVH1c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.mp4/aeyFb2eVH1c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aeyFb2eVH1c.m3u8/aeyFb2eVH1c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aeyFb2eVH1c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26635", "sha": "8febb2fd1ebce964020a4783b1faed1d4f46544a", "translated_description": "Function Inverses Example 2", "image_url": "https://img.youtube.com/vi/aeyFb2eVH1c/hqdefault.jpg", "youtube_id": "aeyFb2eVH1c", "content_kind": "Video", "readable_id": "function-inverses-example-2"}, {"translated_youtube_id": "Bq9cq9FZuNM", "relative_url": "/video/function-inverses-example-3", "has_questions": false, "keywords": "Function, Inverses, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_d", "ka_url": "http://www.khanacademy.org/video/function-inverses-example-3", "duration": 455, "translated_title": "Function inverses example 3", "translated_description_html": "Function Inverses Example 3", "id": "26636", "description_html": "Function Inverses Example 3", "title": "Function inverses example 3", "progress_key": "v26636", "edit_slug": "edit/v/26636", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Function Inverses Example 3", "extra_properties": null, "node_slug": "v/function-inverses-example-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.mp4/Bq9cq9FZuNM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.mp4/Bq9cq9FZuNM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bq9cq9FZuNM.m3u8/Bq9cq9FZuNM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bq9cq9FZuNM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26636", "sha": "5abf80b5bc00034f634cf1fad7c070d36eb43b32", "translated_description": "Function Inverses Example 3", "image_url": "https://img.youtube.com/vi/Bq9cq9FZuNM/hqdefault.jpg", "youtube_id": "Bq9cq9FZuNM", "content_kind": "Video", "readable_id": "function-inverses-example-3"}], "twitter_url": "", "translated_description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", "x_pos": 0.0, "node_slug": "fucntion_inverses", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd8b0621a", "topic_page_url": "/math/trigonometry/functions_and_graphs/fucntion_inverses", "extended_slug": "math/trigonometry/functions_and_graphs/fucntion_inverses", "slug": "fucntion_inverses", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d10e24d23573cd5842fee134b506881f2a502a32", "standalone_title": "Function inverses", "y_pos": 0.0, "current_revision_key": "d10e24d23573cd5842fee134b506881f2a502a32", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/analyzing_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/analyzing_functions", "translated_standalone_title": "Analyzing functions", "translated_title": "Analyzing functions", "gplus_url": "", "id": "x37cf59a0", "old_key_name": "73UOw6H_qPXyQ_AbiiacTLukDD41mOXdUr2ej-2b", "hide": false, "title": "Analyzing functions", "child_data": [{"kind": "Video", "id": "xdf96166c"}, {"kind": "Exercise", "id": 1425290397}, {"kind": "Video", "id": 62754978}, {"kind": "Video", "id": 62754979}, {"kind": "Exercise", "id": 3803992}, {"kind": "Video", "id": "xb05fec98"}, {"kind": "Video", "id": 23740}, {"kind": "Exercise", "id": 3813824}, {"kind": "Video", "id": "x88f83ee2"}, {"kind": "Video", "id": "x09a49d09"}, {"kind": "Video", "id": "x8dfd75e6"}, {"kind": "Exercise", "id": "x703fd465"}, {"kind": "Video", "id": "xef8bffa5"}, {"kind": "Video", "id": "x62250c60"}, {"kind": "Exercise", "id": "x4d40c957"}, {"kind": "Video", "id": "x37888c41"}, {"kind": "Video", "id": "x8d256629"}, {"kind": "Video", "id": "xbb39e37a"}, {"kind": "Exercise", "id": "xcba1184a"}], "children": [{"translated_youtube_id": "eDv7dk9uNmM", "relative_url": "/video/when-a-function-is-positive-or-negative", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/when-a-function-is-positive-or-negative", "duration": 70, "translated_title": "When a function is positive or negative", "translated_description_html": "", "id": "xdf96166c", "description_html": "", "title": "When a function is positive or negative", "progress_key": "vxdf96166c", "edit_slug": "edit/v/xdf96166c", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/when-a-function-is-positive-or-negative", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-06T21:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eDv7dk9uNmM.mp4/eDv7dk9uNmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eDv7dk9uNmM.mp4/eDv7dk9uNmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eDv7dk9uNmM.m3u8/eDv7dk9uNmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eDv7dk9uNmM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdf96166c", "sha": "081494abe27292dab9ebbf7d5b695208d424b634", "translated_description": "", "image_url": "https://img.youtube.com/vi/eDv7dk9uNmM/hqdefault.jpg", "youtube_id": "eDv7dk9uNmM", "content_kind": "Video", "readable_id": "when-a-function-is-positive-or-negative"}, {"translated_youtube_id": "8VgmBe3ulb8", "relative_url": "/video/recognizing-odd-and-even-functions", "has_questions": false, "keywords": "even, odd, functions, CC_39336_F-BF_3", "ka_url": "http://www.khanacademy.org/video/recognizing-odd-and-even-functions", "duration": 745, "translated_title": "Recognizing odd and even functions", "translated_description_html": "

Even and odd functions<\/p>\n", "id": "62754978", "description_html": "

Even and odd functions<\/p>\n", "title": "Recognizing odd and even functions", "progress_key": "v62754978", "edit_slug": "edit/v/62754978", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Even and odd functions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/recognizing-odd-and-even-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-16T23:59:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8VgmBe3ulb8.mp4/8VgmBe3ulb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8VgmBe3ulb8.mp4/8VgmBe3ulb8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8VgmBe3ulb8.m3u8/8VgmBe3ulb8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8VgmBe3ulb8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v62754978", "sha": "e02fdb5eed6ae74f6ea73bf06d738b70c9bf98f6", "translated_description": "Even and odd functions\n", "image_url": "https://img.youtube.com/vi/8VgmBe3ulb8/hqdefault.jpg", "youtube_id": "8VgmBe3ulb8", "content_kind": "Video", "readable_id": "recognizing-odd-and-even-functions"}, {"translated_youtube_id": "jFazrvLodrA", "relative_url": "/video/connection-between-even-and-odd-numbers-and-functions", "has_questions": false, "keywords": "even, odd, functions, CC_39336_F-BF_3", "ka_url": "http://www.khanacademy.org/video/connection-between-even-and-odd-numbers-and-functions", "duration": 248, "translated_title": "Connection between even and odd numbers and functions", "translated_description_html": "A possible reason why even functions are called \"even\" and odd functions are called \"odd\"", "id": "62754979", "description_html": "A possible reason why even functions are called \"even\" and odd functions are called \"odd\"", "title": "Connection between even and odd numbers and functions", "progress_key": "v62754979", "edit_slug": "edit/v/62754979", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A possible reason why even functions are called \"even\" and odd functions are called \"odd\"", "extra_properties": null, "node_slug": "v/connection-between-even-and-odd-numbers-and-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-16T23:59:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFazrvLodrA.mp4/jFazrvLodrA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFazrvLodrA.mp4/jFazrvLodrA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFazrvLodrA.m3u8/jFazrvLodrA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFazrvLodrA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v62754979", "sha": "08de8e68178ce5c39e1d0b2593ccffecbc4f6af5", "translated_description": "A possible reason why even functions are called \"even\" and odd functions are called \"odd\"", "image_url": "https://img.youtube.com/vi/jFazrvLodrA/hqdefault.jpg", "youtube_id": "jFazrvLodrA", "content_kind": "Video", "readable_id": "connection-between-even-and-odd-numbers-and-functions"}, {"translated_youtube_id": "ENFNyNPYfZU", "relative_url": "/video/shifting-and-reflecting-functions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shifting-and-reflecting-functions", "duration": 400, "translated_title": "Shifting and reflecting functions", "translated_description_html": "", "id": "xb05fec98", "description_html": "", "title": "Shifting and reflecting functions", "progress_key": "vxb05fec98", "edit_slug": "edit/v/xb05fec98", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/shifting-and-reflecting-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-14T22:38:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ENFNyNPYfZU.mp4/ENFNyNPYfZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ENFNyNPYfZU.mp4/ENFNyNPYfZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ENFNyNPYfZU.m3u8/ENFNyNPYfZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ENFNyNPYfZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb05fec98", "sha": "d3ba3054f8a1c46bae170f98461710a8d3560540", "translated_description": "", "image_url": "https://img.youtube.com/vi/ENFNyNPYfZU/hqdefault.jpg", "youtube_id": "ENFNyNPYfZU", "content_kind": "Video", "readable_id": "shifting-and-reflecting-functions"}, {"translated_youtube_id": "outcfkh69U0", "relative_url": "/video/graphs-of-square-root-functions", "has_questions": false, "keywords": "Graphs, of, Square, Root, Functions, CC_39336_F-BF_3, CC_39336_F-IF_7_b", "ka_url": "http://www.khanacademy.org/video/graphs-of-square-root-functions", "duration": 901, "translated_title": "Shifting functions", "translated_description_html": "Graphs of Square Root Functions", "id": "23740", "description_html": "Graphs of Square Root Functions", "title": "Shifting functions", "progress_key": "v23740", "edit_slug": "edit/v/23740", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphs of Square Root Functions", "extra_properties": null, "node_slug": "v/graphs-of-square-root-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/outcfkh69U0.mp4/outcfkh69U0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/outcfkh69U0.mp4/outcfkh69U0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/outcfkh69U0.m3u8/outcfkh69U0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=outcfkh69U0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23740", "sha": "0178cfc20df56db53a98d8b04094f2a059982415", "translated_description": "Graphs of Square Root Functions", "image_url": "https://img.youtube.com/vi/outcfkh69U0/hqdefault.jpg", "youtube_id": "outcfkh69U0", "content_kind": "Video", "readable_id": "graphs-of-square-root-functions"}, {"translated_youtube_id": "hpBBuaiIkrg", "relative_url": "/video/recognizing-features-of-functions--example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-features-of-functions--example-1", "duration": 143, "translated_title": "Recognizing features of functions (example 1)", "translated_description_html": "", "id": "x88f83ee2", "description_html": "", "title": "Recognizing features of functions (example 1)", "progress_key": "vx88f83ee2", "edit_slug": "edit/v/x88f83ee2", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-features-of-functions--example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hpBBuaiIkrg.mp4/hpBBuaiIkrg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hpBBuaiIkrg.mp4/hpBBuaiIkrg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hpBBuaiIkrg.m3u8/hpBBuaiIkrg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hpBBuaiIkrg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx88f83ee2", "sha": "58bb650be78796fad7405e39766b71ab2dc9f00e", "translated_description": "", "image_url": "https://img.youtube.com/vi/hpBBuaiIkrg/hqdefault.jpg", "youtube_id": "hpBBuaiIkrg", "content_kind": "Video", "readable_id": "recognizing-features-of-functions--example-1"}, {"translated_youtube_id": "zltgXTlUVLw", "relative_url": "/video/recognizing-features-of-functions-2--example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-features-of-functions-2--example-2", "duration": 233, "translated_title": "Recognizing features of functions 2 (example 2)", "translated_description_html": "", "id": "x09a49d09", "description_html": "", "title": "Recognizing features of functions 2 (example 2)", "progress_key": "vx09a49d09", "edit_slug": "edit/v/x09a49d09", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/recognizing-features-of-functions-2--example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-03T23:39:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zltgXTlUVLw.mp4/zltgXTlUVLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zltgXTlUVLw.mp4/zltgXTlUVLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zltgXTlUVLw.m3u8/zltgXTlUVLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zltgXTlUVLw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx09a49d09", "sha": "4f13538faa967ddf92625543719045c55624177a", "translated_description": "", "image_url": "https://img.youtube.com/vi/zltgXTlUVLw/hqdefault.jpg", "youtube_id": "zltgXTlUVLw", "content_kind": "Video", "readable_id": "recognizing-features-of-functions-2--example-2"}, {"translated_youtube_id": "uglmkcGWmx4", "relative_url": "/video/recognizing-features-of-functions-2-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-features-of-functions-2-example-3", "duration": 202, "translated_title": "Recognizing features of functions 2 (example 3)", "translated_description_html": "", "id": "x8dfd75e6", "description_html": "", "title": "Recognizing features of functions 2 (example 3)", "progress_key": "vx8dfd75e6", "edit_slug": "edit/v/x8dfd75e6", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/recognizing-features-of-functions-2-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uglmkcGWmx4.mp4/uglmkcGWmx4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uglmkcGWmx4.mp4/uglmkcGWmx4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uglmkcGWmx4.m3u8/uglmkcGWmx4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uglmkcGWmx4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8dfd75e6", "sha": "6f5705e938a3252e2b47a2c8d7731fe626df2ba5", "translated_description": "", "image_url": "https://img.youtube.com/vi/uglmkcGWmx4/hqdefault.jpg", "youtube_id": "uglmkcGWmx4", "content_kind": "Video", "readable_id": "recognizing-features-of-functions-2-example-3"}, {"translated_youtube_id": "M3PTPN7NH8M", "relative_url": "/video/interpreting-features-of-functions-2--example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-features-of-functions-2--example-1", "duration": 230, "translated_title": "Interpreting features of functions 2 (example 1)", "translated_description_html": "", "id": "xef8bffa5", "description_html": "", "title": "Interpreting features of functions 2 (example 1)", "progress_key": "vxef8bffa5", "edit_slug": "edit/v/xef8bffa5", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/interpreting-features-of-functions-2--example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-03T23:39:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M3PTPN7NH8M.mp4/M3PTPN7NH8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M3PTPN7NH8M.mp4/M3PTPN7NH8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M3PTPN7NH8M.m3u8/M3PTPN7NH8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M3PTPN7NH8M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxef8bffa5", "sha": "092592157c2d4418648a214b744fdaef9d27b187", "translated_description": "", "image_url": "https://img.youtube.com/vi/M3PTPN7NH8M/hqdefault.jpg", "youtube_id": "M3PTPN7NH8M", "content_kind": "Video", "readable_id": "interpreting-features-of-functions-2--example-1"}, {"translated_youtube_id": "ynIq9IxbVso", "relative_url": "/video/interpreting-features-of-functions-2--example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-features-of-functions-2--example-2", "duration": 198, "translated_title": "Interpreting features of functions 2 (example 2)", "translated_description_html": "", "id": "x62250c60", "description_html": "", "title": "Interpreting features of functions 2 (example 2)", "progress_key": "vx62250c60", "edit_slug": "edit/v/x62250c60", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/interpreting-features-of-functions-2--example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-03T23:39:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ynIq9IxbVso.mp4/ynIq9IxbVso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ynIq9IxbVso.mp4/ynIq9IxbVso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ynIq9IxbVso.m3u8/ynIq9IxbVso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ynIq9IxbVso&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx62250c60", "sha": "f97e162c408b43f4f9d071ed79e54c4be90b48e6", "translated_description": "", "image_url": "https://img.youtube.com/vi/ynIq9IxbVso/hqdefault.jpg", "youtube_id": "ynIq9IxbVso", "content_kind": "Video", "readable_id": "interpreting-features-of-functions-2--example-2"}, {"translated_youtube_id": "w2BN2AJ4fOI", "relative_url": "/video/comparing-features-of-functions-2-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-2-example-1", "duration": 167, "translated_title": "Comparing features of functions 2 (example 1)", "translated_description_html": "", "id": "x37888c41", "description_html": "", "title": "Comparing features of functions 2 (example 1)", "progress_key": "vx37888c41", "edit_slug": "edit/v/x37888c41", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-2-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w2BN2AJ4fOI.mp4/w2BN2AJ4fOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w2BN2AJ4fOI.mp4/w2BN2AJ4fOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w2BN2AJ4fOI.m3u8/w2BN2AJ4fOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w2BN2AJ4fOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx37888c41", "sha": "ce1e6348f8f699934aba19d601519413b31e1415", "translated_description": "", "image_url": "https://img.youtube.com/vi/w2BN2AJ4fOI/hqdefault.jpg", "youtube_id": "w2BN2AJ4fOI", "content_kind": "Video", "readable_id": "comparing-features-of-functions-2-example-1"}, {"translated_youtube_id": "4Bx06GFyhUA", "relative_url": "/video/comparing-features-of-functions-2-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-2-example-2", "duration": 239, "translated_title": "Comparing features of functions 2 (example 2)", "translated_description_html": "", "id": "x8d256629", "description_html": "", "title": "Comparing features of functions 2 (example 2)", "progress_key": "vx8d256629", "edit_slug": "edit/v/x8d256629", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-2-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Bx06GFyhUA.mp4/4Bx06GFyhUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Bx06GFyhUA.mp4/4Bx06GFyhUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Bx06GFyhUA.m3u8/4Bx06GFyhUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Bx06GFyhUA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8d256629", "sha": "4ea8f827656dc79fd8f8d51a7f6c667e9902eeb3", "translated_description": "", "image_url": "https://img.youtube.com/vi/4Bx06GFyhUA/hqdefault.jpg", "youtube_id": "4Bx06GFyhUA", "content_kind": "Video", "readable_id": "comparing-features-of-functions-2-example-2"}, {"translated_youtube_id": "H1H0xmjZMPA", "relative_url": "/video/comparing-features-of-functions-2-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-features-of-functions-2-example-3", "duration": 270, "translated_title": "Comparing features of functions 2 (example 3)", "translated_description_html": "", "id": "xbb39e37a", "description_html": "", "title": "Comparing features of functions 2 (example 3)", "progress_key": "vxbb39e37a", "edit_slug": "edit/v/xbb39e37a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/comparing-features-of-functions-2-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-04T19:20:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H1H0xmjZMPA.mp4/H1H0xmjZMPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H1H0xmjZMPA.mp4/H1H0xmjZMPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H1H0xmjZMPA.m3u8/H1H0xmjZMPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H1H0xmjZMPA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbb39e37a", "sha": "ea7216552bb1f8de351baee46d8e4544c0697efe", "translated_description": "", "image_url": "https://img.youtube.com/vi/H1H0xmjZMPA/hqdefault.jpg", "youtube_id": "H1H0xmjZMPA", "content_kind": "Video", "readable_id": "comparing-features-of-functions-2-example-3"}], "twitter_url": "", "translated_description": "You know a function when you see one, but are curious to start looking deeper at their properties. Some functions seem to be mirror images around the y-axis while others seems to be flipped mirror images while others are neither. How can we shift and reflect them? \n\nThis tutorial addresses these questions by covering even and odd functions. It also covers how we can shift and reflect them. Enjoy!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know a function when you see one, but are curious to start looking deeper at their properties. Some functions seem to be mirror images around the y-axis while others seems to be flipped mirror images while others are neither. How can we shift and reflect them? \n\nThis tutorial addresses these questions by covering even and odd functions. It also covers how we can shift and reflect them. Enjoy!", "x_pos": 0.0, "node_slug": "analyzing_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T22:42:30Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax37cf59a0", "topic_page_url": "/math/trigonometry/functions_and_graphs/analyzing_functions", "extended_slug": "math/trigonometry/functions_and_graphs/analyzing_functions", "slug": "analyzing_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4ba5457b7d511f47eb8ab6f4fdd6d26ac51a7dcf", "standalone_title": "Analyzing functions", "y_pos": 0.0, "current_revision_key": "4ba5457b7d511f47eb8ab6f4fdd6d26ac51a7dcf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/undefined_indeterminate", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/undefined_indeterminate", "translated_standalone_title": "Undefined and Indeterminate", "translated_title": "Undefined and indeterminate answers", "gplus_url": "", "id": "x24ccd218", "old_key_name": "GgxHajLsb7JtJP_nJXIHxCF8uuGL4EVA5K3OWkpr", "hide": false, "title": "Undefined and indeterminate answers", "child_data": [{"kind": "Video", "id": 871510490}, {"kind": "Video", "id": 871532281}, {"kind": "Video", "id": 871539458}], "children": [{"translated_youtube_id": "SQzjzStU1RQ", "relative_url": "/video/why-dividing-by-zero-is-undefined", "has_questions": false, "keywords": "zero, undefined", "ka_url": "http://www.khanacademy.org/video/why-dividing-by-zero-is-undefined", "duration": 248, "translated_title": "Why dividing by zero is undefined", "translated_description_html": "Thinking about why dividing by zero is left undefined", "id": "871510490", "description_html": "Thinking about why dividing by zero is left undefined", "title": "Why dividing by zero is undefined", "progress_key": "v871510490", "edit_slug": "edit/v/871510490", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about why dividing by zero is left undefined", "extra_properties": null, "node_slug": "v/why-dividing-by-zero-is-undefined", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-06-25T15:07:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.m3u8/SQzjzStU1RQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SQzjzStU1RQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v871510490", "sha": "3c2e60f94a6dda0460d7de2d8859335ce7d1ed36", "translated_description": "Thinking about why dividing by zero is left undefined", "image_url": "https://img.youtube.com/vi/SQzjzStU1RQ/hqdefault.jpg", "youtube_id": "SQzjzStU1RQ", "content_kind": "Video", "readable_id": "why-dividing-by-zero-is-undefined"}, {"translated_youtube_id": "PDReqvXfkBA", "relative_url": "/video/why-zero-divided-by-zero-is-undefined-indeterminate", "has_questions": false, "keywords": "zero, divided, undefined", "ka_url": "http://www.khanacademy.org/video/why-zero-divided-by-zero-is-undefined-indeterminate", "duration": 146, "translated_title": "Why zero divided by zero is undefined/indeterminate", "translated_description_html": "Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate", "id": "871532281", "description_html": "Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate", "title": "Why zero divided by zero is undefined/indeterminate", "progress_key": "v871532281", "edit_slug": "edit/v/871532281", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate", "extra_properties": null, "node_slug": "v/why-zero-divided-by-zero-is-undefined-indeterminate", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-25T15:07:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PDReqvXfkBA.mp4/PDReqvXfkBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PDReqvXfkBA.mp4/PDReqvXfkBA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PDReqvXfkBA.m3u8/PDReqvXfkBA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PDReqvXfkBA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v871532281", "sha": "f8f5cb200773e1d493d73459e89fe20b72c3f252", "translated_description": "Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate", "image_url": "https://img.youtube.com/vi/PDReqvXfkBA/hqdefault.jpg", "youtube_id": "PDReqvXfkBA", "content_kind": "Video", "readable_id": "why-zero-divided-by-zero-is-undefined-indeterminate"}, {"translated_youtube_id": "lHdlHTsXbZg", "relative_url": "/video/undefined-and-indeterminate", "has_questions": false, "keywords": "undefined, indeterminate", "ka_url": "http://www.khanacademy.org/video/undefined-and-indeterminate", "duration": 452, "translated_title": "Undefined and indeterminate", "translated_description_html": "Why 0/0 is considered to be indeterminate", "id": "871539458", "description_html": "Why 0/0 is considered to be indeterminate", "title": "Undefined and indeterminate", "progress_key": "v871539458", "edit_slug": "edit/v/871539458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why 0/0 is considered to be indeterminate", "extra_properties": null, "node_slug": "v/undefined-and-indeterminate", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-25T15:24:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lHdlHTsXbZg.mp4/lHdlHTsXbZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lHdlHTsXbZg.mp4/lHdlHTsXbZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lHdlHTsXbZg.m3u8/lHdlHTsXbZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lHdlHTsXbZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v871539458", "sha": "81212559bdeba104cbbadc8f3826f97b30cf2cdd", "translated_description": "Why 0/0 is considered to be indeterminate", "image_url": "https://img.youtube.com/vi/lHdlHTsXbZg/hqdefault.jpg", "youtube_id": "lHdlHTsXbZg", "content_kind": "Video", "readable_id": "undefined-and-indeterminate"}], "twitter_url": "", "translated_description": "In second grade you may have raised your hand in class and asked what you get when you divide by zero. The answer was probably \"it's not defined.\" In this tutorial we'll explore what that (and \"indeterminate\") means and why the math world has left this gap in arithmetic. (They could define something divided by 0 as 7 or 9 or 119.57 but have decided not to.)", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In second grade you may have raised your hand in class and asked what you get when you divide by zero. The answer was probably \"it's not defined.\" In this tutorial we'll explore what that (and \"indeterminate\") means and why the math world has left this gap in arithmetic. (They could define something divided by 0 as 7 or 9 or 119.57 but have decided not to.)", "x_pos": 0.0, "node_slug": "undefined_indeterminate", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax24ccd218", "topic_page_url": "/math/trigonometry/functions_and_graphs/undefined_indeterminate", "extended_slug": "math/trigonometry/functions_and_graphs/undefined_indeterminate", "slug": "undefined_indeterminate", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fe6d71443ab8de89d729cd8c073a983371e29282", "standalone_title": "Undefined and Indeterminate", "y_pos": 0.0, "current_revision_key": "fe6d71443ab8de89d729cd8c073a983371e29282", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/functions_and_graphs/mathy-functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/functions_and_graphs/mathy-functions", "translated_standalone_title": "More mathy functions", "translated_title": "More mathy functions", "gplus_url": "", "id": "x2e94cc94", "old_key_name": "Pl78rV4LDIdphUlpf_XfGTPReSo2QEg7hWQqIGKp", "hide": false, "title": "More mathy functions", "child_data": [{"kind": "Video", "id": 25285}, {"kind": "Video", "id": 25329}], "children": [{"translated_youtube_id": "BQMyeQOLvpg", "relative_url": "/video/a-more-formal-understanding-of-functions", "has_questions": false, "keywords": "functions", "ka_url": "http://www.khanacademy.org/video/a-more-formal-understanding-of-functions", "duration": 961, "translated_title": "A more formal understanding of functions", "translated_description_html": "A more formal understanding of functions", "id": "25285", "description_html": "A more formal understanding of functions", "title": "A more formal understanding of functions", "progress_key": "v25285", "edit_slug": "edit/v/25285", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A more formal understanding of functions", "extra_properties": null, "node_slug": "v/a-more-formal-understanding-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.mp4/BQMyeQOLvpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.mp4/BQMyeQOLvpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.m3u8/BQMyeQOLvpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BQMyeQOLvpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25285", "sha": "8c05ce551710d03d93c1e3e8c43149b505896856", "translated_description": "A more formal understanding of functions", "image_url": "https://img.youtube.com/vi/BQMyeQOLvpg/hqdefault.jpg", "youtube_id": "BQMyeQOLvpg", "content_kind": "Video", "readable_id": "a-more-formal-understanding-of-functions"}, {"translated_youtube_id": "-eAzhBZgq28", "relative_url": "/video/linear-algebra--introduction-to-the-inverse-of-a-function", "has_questions": false, "keywords": "Linear, algebra, function, inverse", "ka_url": "http://www.khanacademy.org/video/linear-algebra--introduction-to-the-inverse-of-a-function", "duration": 1133, "translated_title": "Introduction to the inverse of a function", "translated_description_html": "Introduction to the inverse of a function", "id": "25329", "description_html": "Introduction to the inverse of a function", "title": "Introduction to the inverse of a function", "progress_key": "v25329", "edit_slug": "edit/v/25329", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the inverse of a function", "extra_properties": null, "node_slug": "v/linear-algebra--introduction-to-the-inverse-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.mp4/-eAzhBZgq28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.mp4/-eAzhBZgq28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.m3u8/-eAzhBZgq28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-eAzhBZgq28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25329", "sha": "e84d04b2b6794afac6b9f53e6247bb2a25a7c273", "translated_description": "Introduction to the inverse of a function", "image_url": "https://img.youtube.com/vi/-eAzhBZgq28/hqdefault.jpg", "youtube_id": "-eAzhBZgq28", "content_kind": "Video", "readable_id": "linear-algebra--introduction-to-the-inverse-of-a-function"}], "twitter_url": "", "translated_description": "In this tutorial, we'll start to use and define functions in more \"mathy\" or formal ways.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll start to use and define functions in more \"mathy\" or formal ways.", "x_pos": 0.0, "node_slug": "mathy-functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2e94cc94", "topic_page_url": "/math/trigonometry/functions_and_graphs/mathy-functions", "extended_slug": "math/trigonometry/functions_and_graphs/mathy-functions", "slug": "mathy-functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e29ed60fd54f82b5cc9091f07dcd389cf623109d", "standalone_title": "More mathy functions", "y_pos": 0.0, "current_revision_key": "e29ed60fd54f82b5cc9091f07dcd389cf623109d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Revisiting what a function is and how we can define and visualize one.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Revisiting what a function is and how we can define and visualize one.", "x_pos": 0.0, "node_slug": "functions_and_graphs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5bd354c4", "topic_page_url": "/math/trigonometry/functions_and_graphs", "extended_slug": "math/trigonometry/functions_and_graphs", "slug": "functions_and_graphs", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7aacc93d3d0cfbfa162d922a4b9aa4f83ae38da0", "standalone_title": "Functions and their graphs", "y_pos": 0.0, "current_revision_key": "7aacc93d3d0cfbfa162d922a4b9aa4f83ae38da0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational", "translated_standalone_title": "Polynomial and rational functions", "translated_title": "Polynomial and rational functions", "gplus_url": "", "id": "x5e2afacb", "old_key_name": "81hddm8ROeOZSH8F0D7vuQ3IVZrOx_vVZN1zq91k", "hide": false, "title": "Polynomial and rational functions", "child_data": [{"kind": "Topic", "id": "xde14f7ad"}, {"kind": "Topic", "id": "xf3296847"}, {"kind": "Topic", "id": "x7a485029"}, {"kind": "Topic", "id": "xefc689a8"}, {"kind": "Topic", "id": "x5479c38d"}, {"kind": "Topic", "id": "x97be1af9"}, {"kind": "Topic", "id": "x6ff03783"}, {"kind": "Topic", "id": "x6b8ae017"}, {"kind": "Topic", "id": "xb76b1aad"}, {"kind": "Topic", "id": "x50066900"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/quad_factoring", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_factoring", "translated_standalone_title": "Factoring quadratics", "translated_title": "Factoring quadratics", "gplus_url": "", "id": "xde14f7ad", "old_key_name": "gfAYe9DwsPhkwGQ61aiW5hbUUDAAgMOze25DcnXx", "hide": false, "title": "Factoring quadratics", "child_data": [{"kind": "Video", "id": 23710}, {"kind": "Video", "id": 1228073357}, {"kind": "Exercise", "id": 541466377}, {"kind": "Video", "id": 26992}, {"kind": "Video", "id": 26993}, {"kind": "Exercise", "id": 3024}, {"kind": "Video", "id": 13179580}, {"kind": "Exercise", "id": 688726305}, {"kind": "Exercise", "id": 541520116}, {"kind": "Video", "id": 23712}, {"kind": "Video", "id": 13179583}, {"kind": "Exercise", "id": 541518385}, {"kind": "Video", "id": 26991}, {"kind": "Exercise", "id": 541433013}, {"kind": "Video", "id": "x828e9a9a"}, {"kind": "Exercise", "id": 725546801}, {"kind": "Video", "id": 26987}, {"kind": "Video", "id": 26988}, {"kind": "Exercise", "id": 729514670}], "children": [{"translated_youtube_id": "eF6zYNzlZKQ", "relative_url": "/video/factoring-quadratic-expressions", "has_questions": false, "keywords": "Factoring, Quadratic, Expressions, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/factoring-quadratic-expressions", "duration": 990, "translated_title": "Factoring quadratic expressions", "translated_description_html": "Factoring Quadratic Expressions", "id": "23710", "description_html": "Factoring Quadratic Expressions", "title": "Factoring quadratic expressions", "progress_key": "v23710", "edit_slug": "edit/v/23710", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Quadratic Expressions", "extra_properties": null, "node_slug": "v/factoring-quadratic-expressions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.m3u8/eF6zYNzlZKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eF6zYNzlZKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23710", "sha": "2362607b136d980e952dec67f7eb5074688b7b70", "translated_description": "Factoring Quadratic Expressions", "image_url": "https://img.youtube.com/vi/eF6zYNzlZKQ/hqdefault.jpg", "youtube_id": "eF6zYNzlZKQ", "content_kind": "Video", "readable_id": "factoring-quadratic-expressions"}, {"translated_youtube_id": "1kfq0aR3ASs", "relative_url": "/video/factoring-polynomials-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-polynomials-1", "duration": 260, "translated_title": "Examples: Factoring simple quadratics", "translated_description_html": "A few examples of factoring quadratics", "id": "1228073357", "description_html": "A few examples of factoring quadratics", "title": "Examples: Factoring simple quadratics", "progress_key": "v1228073357", "edit_slug": "edit/v/1228073357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A few examples of factoring quadratics", "extra_properties": null, "node_slug": "v/factoring-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T20:38:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.mp4/1kfq0aR3ASs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.mp4/1kfq0aR3ASs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1kfq0aR3ASs.m3u8/1kfq0aR3ASs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1kfq0aR3ASs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228073357", "sha": "ec63ed98bcf26b463ff50cfba561d71669c545c7", "translated_description": "A few examples of factoring quadratics", "image_url": "https://img.youtube.com/vi/1kfq0aR3ASs/hqdefault.jpg", "youtube_id": "1kfq0aR3ASs", "content_kind": "Video", "readable_id": "factoring-polynomials-1"}, {"translated_youtube_id": "2ZzuZvz33X0", "relative_url": "/video/Example 1: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "U09_L2_T2_we1, Solving, Quadratic, Equations, by, Factoring.avi, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/Example 1: Solving a quadratic equation by factoring", "duration": 382, "translated_title": "Example 1: Solving a quadratic equation by factoring", "translated_description_html": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "id": "26992", "description_html": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "title": "Example 1: Solving a quadratic equation by factoring", "progress_key": "v26992", "edit_slug": "edit/v/26992", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "extra_properties": null, "node_slug": "v/Example 1: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.mp4/2ZzuZvz33X0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.mp4/2ZzuZvz33X0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2ZzuZvz33X0.m3u8/2ZzuZvz33X0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2ZzuZvz33X0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26992", "sha": "b27227a7aa17128de089d5513b472f0cbdc6512b", "translated_description": "U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi", "image_url": "https://img.youtube.com/vi/2ZzuZvz33X0/hqdefault.jpg", "youtube_id": "2ZzuZvz33X0", "content_kind": "Video", "readable_id": "Example 1: Solving a quadratic equation by factoring"}, {"translated_youtube_id": "04RpkdaNzr8", "relative_url": "/video/Example 2: Solving a quadratic equation by factoring", "has_questions": false, "keywords": "U09_L2_T2_we2, Solving, Quadratic, Equations, by, Factoring, 2.avi, CC_39336_A-REI_4, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/Example 2: Solving a quadratic equation by factoring", "duration": 199, "translated_title": "Example 2: Solving a quadratic equation by factoring", "translated_description_html": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "id": "26993", "description_html": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "title": "Example 2: Solving a quadratic equation by factoring", "progress_key": "v26993", "edit_slug": "edit/v/26993", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "extra_properties": null, "node_slug": "v/Example 2: Solving a quadratic equation by factoring", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.m3u8/04RpkdaNzr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=04RpkdaNzr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26993", "sha": "d43b374d7e24eefca9ea1793bf47ce81e3445c19", "translated_description": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", "image_url": "https://img.youtube.com/vi/04RpkdaNzr8/hqdefault.jpg", "youtube_id": "04RpkdaNzr8", "content_kind": "Video", "readable_id": "Example 2: Solving a quadratic equation by factoring"}, {"translated_youtube_id": "GMoqg_s4Dl4", "relative_url": "/video/factoring-trinomials-with-a-common-factor", "has_questions": false, "keywords": "u12_l2_t1_we2, Factoring, trinomials, with, common, factor, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-with-a-common-factor", "duration": 301, "translated_title": "Example 1: Factoring trinomials with a common factor", "translated_description_html": "Factoring trinomials with a common factor", "id": "13179580", "description_html": "Factoring trinomials with a common factor", "title": "Example 1: Factoring trinomials with a common factor", "progress_key": "v13179580", "edit_slug": "edit/v/13179580", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring trinomials with a common factor", "extra_properties": null, "node_slug": "v/factoring-trinomials-with-a-common-factor", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:41:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.m3u8/GMoqg_s4Dl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GMoqg_s4Dl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179580", "sha": "467fa7a792a0b354398da7b660e7e1a59f7d4fd8", "translated_description": "Factoring trinomials with a common factor", "image_url": "https://img.youtube.com/vi/GMoqg_s4Dl4/hqdefault.jpg", "youtube_id": "GMoqg_s4Dl4", "content_kind": "Video", "readable_id": "factoring-trinomials-with-a-common-factor"}, {"translated_youtube_id": "BI_jmI4xRus", "relative_url": "/video/factoring-special-products", "has_questions": false, "keywords": "Factoring, Special, Products, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/factoring-special-products", "duration": 608, "translated_title": "Factoring special products", "translated_description_html": "Factoring Special Products", "id": "23712", "description_html": "Factoring Special Products", "title": "Factoring special products", "progress_key": "v23712", "edit_slug": "edit/v/23712", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Special Products", "extra_properties": null, "node_slug": "v/factoring-special-products", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.m3u8/BI_jmI4xRus.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BI_jmI4xRus&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23712", "sha": "85bddf75b4e14419d80d81b50901b7c78b2364c9", "translated_description": "Factoring Special Products", "image_url": "https://img.youtube.com/vi/BI_jmI4xRus/hqdefault.jpg", "youtube_id": "BI_jmI4xRus", "content_kind": "Video", "readable_id": "factoring-special-products"}, {"translated_youtube_id": "tvnOWIoeeaU", "relative_url": "/video/factoring-difference-of-squares", "has_questions": false, "keywords": "u12_l2_t2_we2, Factoring, difference, of, squares, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-difference-of-squares", "duration": 109, "translated_title": "Example 1: Factoring difference of squares", "translated_description_html": "Factoring difference of squares", "id": "13179583", "description_html": "Factoring difference of squares", "title": "Example 1: Factoring difference of squares", "progress_key": "v13179583", "edit_slug": "edit/v/13179583", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factoring difference of squares", "extra_properties": null, "node_slug": "v/factoring-difference-of-squares", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.m3u8/tvnOWIoeeaU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvnOWIoeeaU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179583", "sha": "83f407d16d66dff5a1c3ed63d8c35dc52ddef8ec", "translated_description": "Factoring difference of squares", "image_url": "https://img.youtube.com/vi/tvnOWIoeeaU/hqdefault.jpg", "youtube_id": "tvnOWIoeeaU", "content_kind": "Video", "readable_id": "factoring-difference-of-squares"}, {"translated_youtube_id": "YahJQvY396o", "relative_url": "/video/u09-l2-t1-we3-factoring-special-products-3", "has_questions": false, "keywords": "U09_L2_T1_we3, Factoring, Special, Products, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/u09-l2-t1-we3-factoring-special-products-3", "duration": 150, "translated_title": "Example 2: Factoring difference of squares", "translated_description_html": "Factoring difference of squares", "id": "26991", "description_html": "Factoring difference of squares", "title": "Example 2: Factoring difference of squares", "progress_key": "v26991", "edit_slug": "edit/v/26991", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring difference of squares", "extra_properties": null, "node_slug": "v/u09-l2-t1-we3-factoring-special-products-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.m3u8/YahJQvY396o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YahJQvY396o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26991", "sha": "1b5b5242059e840ceb53777754dcbb02e5f117fd", "translated_description": "Factoring difference of squares", "image_url": "https://img.youtube.com/vi/YahJQvY396o/hqdefault.jpg", "youtube_id": "YahJQvY396o", "content_kind": "Video", "readable_id": "u09-l2-t1-we3-factoring-special-products-3"}, {"translated_youtube_id": "jmbg-DKWuc4", "relative_url": "/video/factoring-to-produce-difference-of-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/factoring-to-produce-difference-of-squares", "duration": 143, "translated_title": "Factoring to produce difference of squares", "translated_description_html": "", "id": "x828e9a9a", "description_html": "", "title": "Factoring to produce difference of squares", "progress_key": "vx828e9a9a", "edit_slug": "edit/v/x828e9a9a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/factoring-to-produce-difference-of-squares", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-06T01:03:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.mp4/jmbg-DKWuc4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.mp4/jmbg-DKWuc4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jmbg-DKWuc4.m3u8/jmbg-DKWuc4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jmbg-DKWuc4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx828e9a9a", "sha": "2b3cbc01205398050ace736d23230438bc25af73", "translated_description": "", "image_url": "https://img.youtube.com/vi/jmbg-DKWuc4/hqdefault.jpg", "youtube_id": "jmbg-DKWuc4", "content_kind": "Video", "readable_id": "factoring-to-produce-difference-of-squares"}, {"translated_youtube_id": "R-rhSQzFJL0", "relative_url": "/video/factoring-trinomials-by-grouping-5", "has_questions": false, "keywords": "U09_L1_T3_we2, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-5", "duration": 286, "translated_title": "Example 5: Factoring by grouping", "translated_description_html": "Factoring Trinomials by Grouping 5", "id": "26987", "description_html": "Factoring Trinomials by Grouping 5", "title": "Example 5: Factoring by grouping", "progress_key": "v26987", "edit_slug": "edit/v/26987", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 5", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-5", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.m3u8/R-rhSQzFJL0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R-rhSQzFJL0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26987", "sha": "0a25e463504239b0158924c78d9d5461f2142959", "translated_description": "Factoring Trinomials by Grouping 5", "image_url": "https://img.youtube.com/vi/R-rhSQzFJL0/hqdefault.jpg", "youtube_id": "R-rhSQzFJL0", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-5"}, {"translated_youtube_id": "d-2Lcp0QKfI", "relative_url": "/video/factoring-trinomials-by-grouping-6", "has_questions": false, "keywords": "U09_L1_T3_we3, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/factoring-trinomials-by-grouping-6", "duration": 317, "translated_title": "Example 6: Factoring by grouping", "translated_description_html": "Factoring Trinomials by Grouping 6", "id": "26988", "description_html": "Factoring Trinomials by Grouping 6", "title": "Example 6: Factoring by grouping", "progress_key": "v26988", "edit_slug": "edit/v/26988", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Trinomials by Grouping 6", "extra_properties": null, "node_slug": "v/factoring-trinomials-by-grouping-6", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.m3u8/d-2Lcp0QKfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d-2Lcp0QKfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26988", "sha": "7bc5423bbde9761727574f90179c292648714fa5", "translated_description": "Factoring Trinomials by Grouping 6", "image_url": "https://img.youtube.com/vi/d-2Lcp0QKfI/hqdefault.jpg", "youtube_id": "d-2Lcp0QKfI", "content_kind": "Video", "readable_id": "factoring-trinomials-by-grouping-6"}], "twitter_url": "", "translated_description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", "x_pos": 0.0, "node_slug": "quad_factoring", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T01:06:48Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axde14f7ad", "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_factoring", "extended_slug": "math/trigonometry/polynomial_and_rational/quad_factoring", "slug": "quad_factoring", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0f0aacceab7ebfb7b7d79ef4b357af6dd0616df3", "standalone_title": "Factoring quadratics", "y_pos": 0.0, "current_revision_key": "0f0aacceab7ebfb7b7d79ef4b357af6dd0616df3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial", "translated_standalone_title": "Completing the square and the quadratic formula", "translated_title": "Completing the square and the quadratic formula", "gplus_url": "", "id": "xf3296847", "old_key_name": "wuFOzc9w9OttPvE2KbmnvN36wAbpxB9P7XCgct1j", "hide": false, "title": "Completing the square and the quadratic formula", "child_data": [{"kind": "Video", "id": 23720}, {"kind": "Exercise", "id": 617819647}, {"kind": "Video", "id": 23722}, {"kind": "Exercise", "id": 369016246}, {"kind": "Exercise", "id": 369017708}, {"kind": "Video", "id": 23724}, {"kind": "Video", "id": 23726}, {"kind": "Exercise", "id": 2020}, {"kind": "Video", "id": 150088081}, {"kind": "Video", "id": 23728}, {"kind": "Video", "id": 150009951}, {"kind": "Exercise", "id": 957206558}], "children": [{"translated_youtube_id": "55G8037gsKY", "relative_url": "/video/solving-quadratic-equations-by-square-roots", "has_questions": false, "keywords": "Solving, Quadratic, Equations, by, Square, Roots, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/solving-quadratic-equations-by-square-roots", "duration": 663, "translated_title": "Solving quadratic equations by square roots", "translated_description_html": "Solving Quadratic Equations by Square Roots", "id": "23720", "description_html": "Solving Quadratic Equations by Square Roots", "title": "Solving quadratic equations by square roots", "progress_key": "v23720", "edit_slug": "edit/v/23720", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Quadratic Equations by Square Roots", "extra_properties": null, "node_slug": "v/solving-quadratic-equations-by-square-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.mp4/55G8037gsKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.mp4/55G8037gsKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/55G8037gsKY.m3u8/55G8037gsKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=55G8037gsKY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23720", "sha": "413ffc20c6df219e040b91784cb9bc8dfcc38f17", "translated_description": "Solving Quadratic Equations by Square Roots", "image_url": "https://img.youtube.com/vi/55G8037gsKY/hqdefault.jpg", "youtube_id": "55G8037gsKY", "content_kind": "Video", "readable_id": "solving-quadratic-equations-by-square-roots"}, {"translated_youtube_id": "bNQY0z76M5A", "relative_url": "/video/solving-quadratic-equations-by-completing-the-square", "has_questions": false, "keywords": "Solving, Quadratic, Equations, by, Completing, the, Square, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", "ka_url": "http://www.khanacademy.org/video/solving-quadratic-equations-by-completing-the-square", "duration": 846, "translated_title": "Solving quadratic equations by completing the square", "translated_description_html": "Solving Quadratic Equations by Completing the Square", "id": "23722", "description_html": "Solving Quadratic Equations by Completing the Square", "title": "Solving quadratic equations by completing the square", "progress_key": "v23722", "edit_slug": "edit/v/23722", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Quadratic Equations by Completing the Square", "extra_properties": null, "node_slug": "v/solving-quadratic-equations-by-completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.mp4/bNQY0z76M5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.mp4/bNQY0z76M5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bNQY0z76M5A.m3u8/bNQY0z76M5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bNQY0z76M5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23722", "sha": "b495666bb515245922efe03c6f51906d125517fe", "translated_description": "Solving Quadratic Equations by Completing the Square", "image_url": "https://img.youtube.com/vi/bNQY0z76M5A/hqdefault.jpg", "youtube_id": "bNQY0z76M5A", "content_kind": "Video", "readable_id": "solving-quadratic-equations-by-completing-the-square"}, {"translated_youtube_id": "i7idZfS8t8w", "relative_url": "/video/using-the-quadratic-formula", "has_questions": false, "keywords": "Using, the, Quadratic, Formula, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/using-the-quadratic-formula", "duration": 992, "translated_title": "How to use the quadratic formula", "translated_description_html": "

Introduction to using the quadratic formula.<\/p>\n", "id": "23724", "description_html": "

Introduction to using the quadratic formula.<\/p>\n", "title": "How to use the quadratic formula", "progress_key": "v23724", "edit_slug": "edit/v/23724", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to using the quadratic formula.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/using-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.m3u8/i7idZfS8t8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i7idZfS8t8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23724", "sha": "ac5fb49ac8dda0cd02900b1e1850a16f2c3839d6", "translated_description": "Introduction to using the quadratic formula.\n", "image_url": "https://img.youtube.com/vi/i7idZfS8t8w/hqdefault.jpg", "youtube_id": "i7idZfS8t8w", "content_kind": "Video", "readable_id": "using-the-quadratic-formula"}, {"translated_youtube_id": "r3SEkdtpobo", "relative_url": "/video/proof-of-quadratic-formula", "has_questions": false, "keywords": "Proof, of, Quadratic, Formula, CC_39336_A-REI_4_a", "ka_url": "http://www.khanacademy.org/video/proof-of-quadratic-formula", "duration": 464, "translated_title": "Proof of quadratic formula", "translated_description_html": "Proof of Quadratic Formula", "id": "23726", "description_html": "Proof of Quadratic Formula", "title": "Proof of quadratic formula", "progress_key": "v23726", "edit_slug": "edit/v/23726", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of Quadratic Formula", "extra_properties": null, "node_slug": "v/proof-of-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.mp4/r3SEkdtpobo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.mp4/r3SEkdtpobo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r3SEkdtpobo.m3u8/r3SEkdtpobo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r3SEkdtpobo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23726", "sha": "52a4b689300f87355e3ad26a89b366965acd1b13", "translated_description": "Proof of Quadratic Formula", "image_url": "https://img.youtube.com/vi/r3SEkdtpobo/hqdefault.jpg", "youtube_id": "r3SEkdtpobo", "content_kind": "Video", "readable_id": "proof-of-quadratic-formula"}, {"translated_youtube_id": "dnjK4DPqh0k", "relative_url": "/video/complex-roots-from-the-quadratic-formula", "has_questions": false, "keywords": "u16_l5_t2_we3, Complex, Roots, from, the, Quadratic, Formula", "ka_url": "http://www.khanacademy.org/video/complex-roots-from-the-quadratic-formula", "duration": 615, "translated_title": "Example: Complex roots for a quadratic", "translated_description_html": "Complex Roots from the Quadratic Formula", "id": "150088081", "description_html": "Complex Roots from the Quadratic Formula", "title": "Example: Complex roots for a quadratic", "progress_key": "v150088081", "edit_slug": "edit/v/150088081", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Roots from the Quadratic Formula", "extra_properties": null, "node_slug": "v/complex-roots-from-the-quadratic-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.m3u8/dnjK4DPqh0k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dnjK4DPqh0k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088081", "sha": "79bd5d5ab14bebae0bcaced835a4deaf665fb6cf", "translated_description": "Complex Roots from the Quadratic Formula", "image_url": "https://img.youtube.com/vi/dnjK4DPqh0k/hqdefault.jpg", "youtube_id": "dnjK4DPqh0k", "content_kind": "Video", "readable_id": "complex-roots-from-the-quadratic-formula"}, {"translated_youtube_id": "JBSDQLZtjFo", "relative_url": "/video/discriminant-of-quadratic-equations", "has_questions": false, "keywords": "Discriminant, of, Quadratic, Equations, CC_39336_A-REI_4_b", "ka_url": "http://www.khanacademy.org/video/discriminant-of-quadratic-equations", "duration": 614, "translated_title": "Discriminant of quadratic equations", "translated_description_html": "Discriminant of Quadratic Equations", "id": "23728", "description_html": "Discriminant of Quadratic Equations", "title": "Discriminant of quadratic equations", "progress_key": "v23728", "edit_slug": "edit/v/23728", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Discriminant of Quadratic Equations", "extra_properties": null, "node_slug": "v/discriminant-of-quadratic-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.mp4/JBSDQLZtjFo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.mp4/JBSDQLZtjFo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JBSDQLZtjFo.m3u8/JBSDQLZtjFo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JBSDQLZtjFo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23728", "sha": "00a7dad77d6adf522219b98672fea15d2d33f278", "translated_description": "Discriminant of Quadratic Equations", "image_url": "https://img.youtube.com/vi/JBSDQLZtjFo/hqdefault.jpg", "youtube_id": "JBSDQLZtjFo", "content_kind": "Video", "readable_id": "discriminant-of-quadratic-equations"}, {"translated_youtube_id": "1213qW5k55I", "relative_url": "/video/discriminant-for-types-of-solutions-for-a-quadratic", "has_questions": false, "keywords": "u16_l5_t2_we4, Discriminant, for, Types, of, Solutions, Quadratic", "ka_url": "http://www.khanacademy.org/video/discriminant-for-types-of-solutions-for-a-quadratic", "duration": 277, "translated_title": "Discriminant for types of solutions for a quadratic", "translated_description_html": "Discriminant for Types of Solutions for a Quadratic", "id": "150009951", "description_html": "Discriminant for Types of Solutions for a Quadratic", "title": "Discriminant for types of solutions for a quadratic", "progress_key": "v150009951", "edit_slug": "edit/v/150009951", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Discriminant for Types of Solutions for a Quadratic", "extra_properties": null, "node_slug": "v/discriminant-for-types-of-solutions-for-a-quadratic", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.mp4/1213qW5k55I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.mp4/1213qW5k55I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1213qW5k55I.m3u8/1213qW5k55I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1213qW5k55I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150009951", "sha": "70819d0493e949cf45f614a354e3d54deb1648f0", "translated_description": "Discriminant for Types of Solutions for a Quadratic", "image_url": "https://img.youtube.com/vi/1213qW5k55I/hqdefault.jpg", "youtube_id": "1213qW5k55I", "content_kind": "Video", "readable_id": "discriminant-for-types-of-solutions-for-a-quadratic"}], "twitter_url": "", "translated_description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", "x_pos": 0.0, "node_slug": "quad_formula_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf3296847", "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial", "extended_slug": "math/trigonometry/polynomial_and_rational/quad_formula_tutorial", "slug": "quad_formula_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f5d7013860bee1bedac28d9e058c2c5b8a603712", "standalone_title": "Completing the square and the quadratic formula", "y_pos": 0.0, "current_revision_key": "f5d7013860bee1bedac28d9e058c2c5b8a603712", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/quad_ineq", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_ineq", "translated_standalone_title": "Quadratic inequalities", "translated_title": "Quadratic inequalities", "gplus_url": "", "id": "x7a485029", "old_key_name": "mwzYvPvKv5AJt25gZjw-GXXgnLgtJC4dkHuV94o0", "hide": false, "title": "Quadratic inequalities", "child_data": [{"kind": "Video", "id": 23500}, {"kind": "Video", "id": 23502}], "children": [{"translated_youtube_id": "ZNtzWpU80-0", "relative_url": "/video/quadratic-inequalities", "has_questions": false, "keywords": "quadratic, factoring, inequality, algebra", "ka_url": "http://www.khanacademy.org/video/quadratic-inequalities", "duration": 588, "translated_title": "Quadratic inequalities", "translated_description_html": "Solving quadratic inequalities using factoring", "id": "23500", "description_html": "Solving quadratic inequalities using factoring", "title": "Quadratic inequalities", "progress_key": "v23500", "edit_slug": "edit/v/23500", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving quadratic inequalities using factoring", "extra_properties": null, "node_slug": "v/quadratic-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.mp4/ZNtzWpU80-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.mp4/ZNtzWpU80-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZNtzWpU80-0.m3u8/ZNtzWpU80-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZNtzWpU80-0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23500", "sha": "7a4904aee1fa2d235c944337b05d844c850b7cec", "translated_description": "Solving quadratic inequalities using factoring", "image_url": "https://img.youtube.com/vi/ZNtzWpU80-0/hqdefault.jpg", "youtube_id": "ZNtzWpU80-0", "content_kind": "Video", "readable_id": "quadratic-inequalities"}, {"translated_youtube_id": "xdiBjypYFRQ", "relative_url": "/video/quadratic-inequalities--visual-explanation", "has_questions": false, "keywords": "Algebra, Math, Khan", "ka_url": "http://www.khanacademy.org/video/quadratic-inequalities--visual-explanation", "duration": 591, "translated_title": "Quadratic inequalities (visual explanation)", "translated_description_html": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "id": "23502", "description_html": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "title": "Quadratic inequalities (visual explanation)", "progress_key": "v23502", "edit_slug": "edit/v/23502", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "extra_properties": null, "node_slug": "v/quadratic-inequalities--visual-explanation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.m3u8/xdiBjypYFRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xdiBjypYFRQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23502", "sha": "ba319643080d313ecfaf7f339f686b8ca08e1faa", "translated_description": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", "image_url": "https://img.youtube.com/vi/xdiBjypYFRQ/hqdefault.jpg", "youtube_id": "xdiBjypYFRQ", "content_kind": "Video", "readable_id": "quadratic-inequalities--visual-explanation"}], "twitter_url": "", "translated_description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", "x_pos": 0.0, "node_slug": "quad_ineq", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7a485029", "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_ineq", "extended_slug": "math/trigonometry/polynomial_and_rational/quad_ineq", "slug": "quad_ineq", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "fdb7f60a86e3d0ca3c17511fc99a5484aefcec35", "standalone_title": "Quadratic inequalities", "y_pos": 0.0, "current_revision_key": "fdb7f60a86e3d0ca3c17511fc99a5484aefcec35", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/polynomial_tutorial", "translated_standalone_title": "Polynomials", "translated_title": "Polynomials", "gplus_url": "", "id": "xefc689a8", "old_key_name": "GP4j6D0zruQwWAtv2AmKIYEeRVKgKkt6pLxIDIN-", "hide": false, "title": "Polynomials", "child_data": [{"kind": "Video", "id": 13179510}, {"kind": "Video", "id": 23702}, {"kind": "Exercise", "id": 357414238}, {"kind": "Video", "id": 13179519}, {"kind": "Video", "id": 26975}, {"kind": "Exercise", "id": 357437094}, {"kind": "Video", "id": 23780}, {"kind": "Video", "id": 13179524}, {"kind": "Video", "id": 13179525}, {"kind": "Video", "id": 948828848}, {"kind": "Video", "id": 948968139}, {"kind": "Video", "id": 948944478}, {"kind": "Video", "id": 13179584}, {"kind": "Video", "id": 466052139}], "children": [{"translated_youtube_id": "REiDXCN0lGU", "relative_url": "/video/terms-coefficients-and-exponents-in-a-polynomial", "has_questions": false, "keywords": "u11_l2_t1_we1, Terms, coefficients, and, exponents, in, polynomial, CC_6_EE_2_b, CC_39336_A-SSE_1_a", "ka_url": "http://www.khanacademy.org/video/terms-coefficients-and-exponents-in-a-polynomial", "duration": 156, "translated_title": "Terms coefficients and exponents in a polynomial", "translated_description_html": "Terms coefficients and exponents in a polynomial", "id": "13179510", "description_html": "Terms coefficients and exponents in a polynomial", "title": "Terms coefficients and exponents in a polynomial", "progress_key": "v13179510", "edit_slug": "edit/v/13179510", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Terms coefficients and exponents in a polynomial", "extra_properties": null, "node_slug": "v/terms-coefficients-and-exponents-in-a-polynomial", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:40:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.mp4/REiDXCN0lGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.mp4/REiDXCN0lGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/REiDXCN0lGU.m3u8/REiDXCN0lGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=REiDXCN0lGU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179510", "sha": "c2919ec67ec7333abf7c8e9dbe791f6abc81a4ba", "translated_description": "Terms coefficients and exponents in a polynomial", "image_url": "https://img.youtube.com/vi/REiDXCN0lGU/hqdefault.jpg", "youtube_id": "REiDXCN0lGU", "content_kind": "Video", "readable_id": "terms-coefficients-and-exponents-in-a-polynomial"}, {"translated_youtube_id": "ZgFXL6SEUiI", "relative_url": "/video/addition-and-subtraction-of-polynomials", "has_questions": false, "keywords": "Addition, and, Subtraction, of, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/addition-and-subtraction-of-polynomials", "duration": 959, "translated_title": "Addition and subtraction of polynomials", "translated_description_html": "Addition and Subtraction of Polynomials", "id": "23702", "description_html": "Addition and Subtraction of Polynomials", "title": "Addition and subtraction of polynomials", "progress_key": "v23702", "edit_slug": "edit/v/23702", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Addition and Subtraction of Polynomials", "extra_properties": null, "node_slug": "v/addition-and-subtraction-of-polynomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.mp4/ZgFXL6SEUiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.mp4/ZgFXL6SEUiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZgFXL6SEUiI.m3u8/ZgFXL6SEUiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZgFXL6SEUiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23702", "sha": "e51e39866b24163b4be01ce8dfce623bb6df5c58", "translated_description": "Addition and Subtraction of Polynomials", "image_url": "https://img.youtube.com/vi/ZgFXL6SEUiI/hqdefault.jpg", "youtube_id": "ZgFXL6SEUiI", "content_kind": "Video", "readable_id": "addition-and-subtraction-of-polynomials"}, {"translated_youtube_id": "yJzLYa-_Y1k", "relative_url": "/video/multiplying-polynomials", "has_questions": false, "keywords": "u11_l2_t3_we4, Multiplying, Polynomials, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials", "duration": 346, "translated_title": "Multiplying polynomials", "translated_description_html": "Multiplying Polynomials", "id": "13179519", "description_html": "Multiplying Polynomials", "title": "Multiplying polynomials", "progress_key": "v13179519", "edit_slug": "edit/v/13179519", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Polynomials", "extra_properties": null, "node_slug": "v/multiplying-polynomials", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.mp4/yJzLYa-_Y1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.mp4/yJzLYa-_Y1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yJzLYa-_Y1k.m3u8/yJzLYa-_Y1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yJzLYa-_Y1k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179519", "sha": "222d673a4e9485c29ac843a97d98349ff7a79ddc", "translated_description": "Multiplying Polynomials", "image_url": "https://img.youtube.com/vi/yJzLYa-_Y1k/hqdefault.jpg", "youtube_id": "yJzLYa-_Y1k", "content_kind": "Video", "readable_id": "multiplying-polynomials"}, {"translated_youtube_id": "bamcYQDzVTw", "relative_url": "/video/multiplying-polynomials-3", "has_questions": false, "keywords": "U08_L2_T3_we3, Multiplying, Polynomials, CC_7_EE_4_a, CC_8_G_9, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/multiplying-polynomials-3", "duration": 259, "translated_title": "Multiplying polynomials 3", "translated_description_html": "Multiplying Polynomials 3", "id": "26975", "description_html": "Multiplying Polynomials 3", "title": "Multiplying polynomials 3", "progress_key": "v26975", "edit_slug": "edit/v/26975", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying Polynomials 3", "extra_properties": null, "node_slug": "v/multiplying-polynomials-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.mp4/bamcYQDzVTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.mp4/bamcYQDzVTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bamcYQDzVTw.m3u8/bamcYQDzVTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bamcYQDzVTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26975", "sha": "71bde49b7d01fb6c11b1e40e038d7fd22c113edb", "translated_description": "Multiplying Polynomials 3", "image_url": "https://img.youtube.com/vi/bamcYQDzVTw/hqdefault.jpg", "youtube_id": "bamcYQDzVTw", "content_kind": "Video", "readable_id": "multiplying-polynomials-3"}, {"translated_youtube_id": "FXgV9ySNusc", "relative_url": "/video/polynomial-division", "has_questions": false, "keywords": "Polynomial, Division, CC_39336_A-APR_2", "ka_url": "http://www.khanacademy.org/video/polynomial-division", "duration": 729, "translated_title": "Polynomial division", "translated_description_html": "Polynomial Division", "id": "23780", "description_html": "Polynomial Division", "title": "Polynomial division", "progress_key": "v23780", "edit_slug": "edit/v/23780", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Polynomial Division", "extra_properties": null, "node_slug": "v/polynomial-division", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.mp4/FXgV9ySNusc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.mp4/FXgV9ySNusc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FXgV9ySNusc.m3u8/FXgV9ySNusc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FXgV9ySNusc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23780", "sha": "56c21cc93bf0013d49b388697112c64254936e8c", "translated_description": "Polynomial Division", "image_url": "https://img.youtube.com/vi/FXgV9ySNusc/hqdefault.jpg", "youtube_id": "FXgV9ySNusc", "content_kind": "Video", "readable_id": "polynomial-division"}, {"translated_youtube_id": "8Wxw9bpKEGQ", "relative_url": "/video/dividing-polynomials-1", "has_questions": false, "keywords": "u11_l2_t6_we1, Dividing, polynomials, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-polynomials-1", "duration": 200, "translated_title": "Dividing polynomials 1", "translated_description_html": "Dividing polynomials 1", "id": "13179524", "description_html": "Dividing polynomials 1", "title": "Dividing polynomials 1", "progress_key": "v13179524", "edit_slug": "edit/v/13179524", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing polynomials 1", "extra_properties": null, "node_slug": "v/dividing-polynomials-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.m3u8/8Wxw9bpKEGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Wxw9bpKEGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179524", "sha": "f061afcba6682818dae25791e1525a21a56ee2df", "translated_description": "Dividing polynomials 1", "image_url": "https://img.youtube.com/vi/8Wxw9bpKEGQ/hqdefault.jpg", "youtube_id": "8Wxw9bpKEGQ", "content_kind": "Video", "readable_id": "dividing-polynomials-1"}, {"translated_youtube_id": "pLCmwHsDYqo", "relative_url": "/video/dividing-polynomials-with-remainders", "has_questions": false, "keywords": "u11_l2_t6_we2, Dividing, polynomials, with, remainders, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", "ka_url": "http://www.khanacademy.org/video/dividing-polynomials-with-remainders", "duration": 383, "translated_title": "Dividing polynomials with remainders", "translated_description_html": "Dividing polynomials with remainders", "id": "13179525", "description_html": "Dividing polynomials with remainders", "title": "Dividing polynomials with remainders", "progress_key": "v13179525", "edit_slug": "edit/v/13179525", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing polynomials with remainders", "extra_properties": null, "node_slug": "v/dividing-polynomials-with-remainders", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:40:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.m3u8/pLCmwHsDYqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pLCmwHsDYqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179525", "sha": "559df93f84154e39bc082a89342085dff5195542", "translated_description": "Dividing polynomials with remainders", "image_url": "https://img.youtube.com/vi/pLCmwHsDYqo/hqdefault.jpg", "youtube_id": "pLCmwHsDYqo", "content_kind": "Video", "readable_id": "dividing-polynomials-with-remainders"}, {"translated_youtube_id": "1byR9UEQJN0", "relative_url": "/video/synthetic-division", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/synthetic-division", "duration": 321, "translated_title": "Synthetic division", "translated_description_html": "Basic algorithm for Synthetic Division", "id": "948828848", "description_html": "Basic algorithm for Synthetic Division", "title": "Synthetic division", "progress_key": "v948828848", "edit_slug": "edit/v/948828848", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic algorithm for Synthetic Division", "extra_properties": null, "node_slug": "v/synthetic-division", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-07T20:25:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.m3u8/1byR9UEQJN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1byR9UEQJN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948828848", "sha": "86de91aa51d2c45fa6666fd254f85ce11d65b1df", "translated_description": "Basic algorithm for Synthetic Division", "image_url": "https://img.youtube.com/vi/1byR9UEQJN0/hqdefault.jpg", "youtube_id": "1byR9UEQJN0", "content_kind": "Video", "readable_id": "synthetic-division"}, {"translated_youtube_id": "3Ee_huKclEQ", "relative_url": "/video/synthetic-division-example-2", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/synthetic-division-example-2", "duration": 300, "translated_title": "Synthetic division example 2", "translated_description_html": "Another example of applying the basic synthetic division algorithm", "id": "948968139", "description_html": "Another example of applying the basic synthetic division algorithm", "title": "Synthetic division example 2", "progress_key": "v948968139", "edit_slug": "edit/v/948968139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another example of applying the basic synthetic division algorithm", "extra_properties": null, "node_slug": "v/synthetic-division-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-08-07T20:25:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.mp4/3Ee_huKclEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.mp4/3Ee_huKclEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Ee_huKclEQ.m3u8/3Ee_huKclEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Ee_huKclEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948968139", "sha": "863e30e468e0312670117c2f42230a325b538249", "translated_description": "Another example of applying the basic synthetic division algorithm", "image_url": "https://img.youtube.com/vi/3Ee_huKclEQ/hqdefault.jpg", "youtube_id": "3Ee_huKclEQ", "content_kind": "Video", "readable_id": "synthetic-division-example-2"}, {"translated_youtube_id": "-nlMXVrgtjw", "relative_url": "/video/why-synthetic-division-works", "has_questions": false, "keywords": "algebra, synthetic, division", "ka_url": "http://www.khanacademy.org/video/why-synthetic-division-works", "duration": 420, "translated_title": "Why synthetic division works", "translated_description_html": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "id": "948944478", "description_html": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "title": "Why synthetic division works", "progress_key": "v948944478", "edit_slug": "edit/v/948944478", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "extra_properties": null, "node_slug": "v/why-synthetic-division-works", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-07T20:26:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.m3u8/-nlMXVrgtjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-nlMXVrgtjw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v948944478", "sha": "e1bf5f56478c44a9cca079711ea7205dc62ea615", "translated_description": "Demonstrating why synthetic division gives you the same result as traditional algebraic long division", "image_url": "https://img.youtube.com/vi/-nlMXVrgtjw/hqdefault.jpg", "youtube_id": "-nlMXVrgtjw", "content_kind": "Video", "readable_id": "why-synthetic-division-works"}, {"translated_youtube_id": "Touv2APcBRw", "relative_url": "/video/factoring-sum-of-cubes", "has_questions": false, "keywords": "u12_l2_t3_we1, Factoring, Sum, of, Cubes, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/factoring-sum-of-cubes", "duration": 286, "translated_title": "Factoring sum of cubes", "translated_description_html": "Factoring Sum of Cubes", "id": "13179584", "description_html": "Factoring Sum of Cubes", "title": "Factoring sum of cubes", "progress_key": "v13179584", "edit_slug": "edit/v/13179584", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring Sum of Cubes", "extra_properties": null, "node_slug": "v/factoring-sum-of-cubes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:41:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.m3u8/Touv2APcBRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Touv2APcBRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179584", "sha": "a813f031489ae426177f6347d80e5556a912ed2b", "translated_description": "Factoring Sum of Cubes", "image_url": "https://img.youtube.com/vi/Touv2APcBRw/hqdefault.jpg", "youtube_id": "Touv2APcBRw", "content_kind": "Video", "readable_id": "factoring-sum-of-cubes"}, {"translated_youtube_id": "CxcP4ylUP5w", "relative_url": "/video/difference-of-cubes-factoring", "has_questions": false, "keywords": "u12, l2, t3, we2, Difference, of, Cubes, Factoring", "ka_url": "http://www.khanacademy.org/video/difference-of-cubes-factoring", "duration": 252, "translated_title": "Difference of cubes factoring", "translated_description_html": "u12 l2 t3 we2 Difference of Cubes Factoring", "id": "466052139", "description_html": "u12 l2 t3 we2 Difference of Cubes Factoring", "title": "Difference of cubes factoring", "progress_key": "v466052139", "edit_slug": "edit/v/466052139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "u12 l2 t3 we2 Difference of Cubes Factoring", "extra_properties": null, "node_slug": "v/difference-of-cubes-factoring", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.mp4/CxcP4ylUP5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.mp4/CxcP4ylUP5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CxcP4ylUP5w.m3u8/CxcP4ylUP5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CxcP4ylUP5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466052139", "sha": "77de5b57d252986649a962ee1d5aebf2da7bedd3", "translated_description": "u12 l2 t3 we2 Difference of Cubes Factoring", "image_url": "https://img.youtube.com/vi/CxcP4ylUP5w/hqdefault.jpg", "youtube_id": "CxcP4ylUP5w", "content_kind": "Video", "readable_id": "difference-of-cubes-factoring"}], "twitter_url": "", "translated_description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", "x_pos": 0.0, "node_slug": "polynomial_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axefc689a8", "topic_page_url": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial", "extended_slug": "math/trigonometry/polynomial_and_rational/polynomial_tutorial", "slug": "polynomial_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "2f9c323570dc27dfc12454fc1a28926654ac45bf", "standalone_title": "Polynomials", "y_pos": 0.0, "current_revision_key": "2f9c323570dc27dfc12454fc1a28926654ac45bf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/binomial_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem", "translated_standalone_title": "Binomial theorem", "translated_title": "Binomial theorem", "gplus_url": "", "id": "x5479c38d", "old_key_name": "vblzE8spR975-tbUWUA6RwfpUdpLKaavcaNybNV9", "hide": false, "title": "Binomial theorem", "child_data": [{"kind": "Video", "id": 25806}, {"kind": "Video", "id": 25808}, {"kind": "Video", "id": 25810}], "children": [{"translated_youtube_id": "Cv4YhIMfbeM", "relative_url": "/video/binomial-theorem--part-1", "has_questions": false, "keywords": "binomial, theorem, expansion, CC_39336_A-APR_5", "ka_url": "http://www.khanacademy.org/video/binomial-theorem--part-1", "duration": 758, "translated_title": "Binomial theorem (part 1)", "translated_description_html": "Introduction to raising (a+b)^n", "id": "25806", "description_html": "Introduction to raising (a+b)^n", "title": "Binomial theorem (part 1)", "progress_key": "v25806", "edit_slug": "edit/v/25806", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to raising (a+b)^n", "extra_properties": null, "node_slug": "v/binomial-theorem--part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cv4YhIMfbeM.mp4/Cv4YhIMfbeM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cv4YhIMfbeM.mp4/Cv4YhIMfbeM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cv4YhIMfbeM.m3u8/Cv4YhIMfbeM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Cv4YhIMfbeM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25806", "sha": "1f6004f3c4da791d807a8fee135263046018c61f", "translated_description": "Introduction to raising (a+b)^n", "image_url": "https://img.youtube.com/vi/Cv4YhIMfbeM/hqdefault.jpg", "youtube_id": "Cv4YhIMfbeM", "content_kind": "Video", "readable_id": "binomial-theorem--part-1"}, {"translated_youtube_id": "-fFWWt1m9k0", "relative_url": "/video/binomial-theorem--part-2", "has_questions": false, "keywords": "binomial, theorem, expansion, pascals, triangle", "ka_url": "http://www.khanacademy.org/video/binomial-theorem--part-2", "duration": 859, "translated_title": "Binomial theorem (part 2)", "translated_description_html": "Binomial Theorem and Pascal's Triangle", "id": "25808", "description_html": "Binomial Theorem and Pascal's Triangle", "title": "Binomial theorem (part 2)", "progress_key": "v25808", "edit_slug": "edit/v/25808", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Binomial Theorem and Pascal's Triangle", "extra_properties": null, "node_slug": "v/binomial-theorem--part-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-fFWWt1m9k0.mp4/-fFWWt1m9k0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-fFWWt1m9k0.mp4/-fFWWt1m9k0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-fFWWt1m9k0.m3u8/-fFWWt1m9k0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-fFWWt1m9k0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25808", "sha": "b5f57a3800c2d8dbb6989859408bf678d27b5587", "translated_description": "Binomial Theorem and Pascal's Triangle", "image_url": "https://img.youtube.com/vi/-fFWWt1m9k0/hqdefault.jpg", "youtube_id": "-fFWWt1m9k0", "content_kind": "Video", "readable_id": "binomial-theorem--part-2"}, {"translated_youtube_id": "xF_hJaXUNfE", "relative_url": "/video/binomial-theorem--part-3", "has_questions": false, "keywords": "binomial, combinatorics, CC_39336_A-APR_5", "ka_url": "http://www.khanacademy.org/video/binomial-theorem--part-3", "duration": 719, "translated_title": "Binomial theorem (part 3)", "translated_description_html": "Intuition behind why binomial expansion involves combinatorics", "id": "25810", "description_html": "Intuition behind why binomial expansion involves combinatorics", "title": "Binomial theorem (part 3)", "progress_key": "v25810", "edit_slug": "edit/v/25810", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind why binomial expansion involves combinatorics", "extra_properties": null, "node_slug": "v/binomial-theorem--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xF_hJaXUNfE.mp4/xF_hJaXUNfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xF_hJaXUNfE.mp4/xF_hJaXUNfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xF_hJaXUNfE.m3u8/xF_hJaXUNfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xF_hJaXUNfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25810", "sha": "defbbf1474fe7fdf02ca9ca91486d56b6f3065c4", "translated_description": "Intuition behind why binomial expansion involves combinatorics", "image_url": "https://img.youtube.com/vi/xF_hJaXUNfE/hqdefault.jpg", "youtube_id": "xF_hJaXUNfE", "content_kind": "Video", "readable_id": "binomial-theorem--part-3"}], "twitter_url": "", "translated_description": "You can keep taking the powers of a binomial by hand, but, as we'll see in this tutorial, there is a much more elegant way to do it using the binomial theorem and/or Pascal's Triangle.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can keep taking the powers of a binomial by hand, but, as we'll see in this tutorial, there is a much more elegant way to do it using the binomial theorem and/or Pascal's Triangle.", "x_pos": 0.0, "node_slug": "binomial_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5479c38d", "topic_page_url": "/math/trigonometry/polynomial_and_rational/binomial_theorem", "extended_slug": "math/trigonometry/polynomial_and_rational/binomial_theorem", "slug": "binomial_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b9b6d657f8d59141a177809a46913e84d6246679", "standalone_title": "Binomial theorem", "y_pos": 0.0, "current_revision_key": "b9b6d657f8d59141a177809a46913e84d6246679", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/simplifying-rational-expressions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/simplifying-rational-expressions", "translated_standalone_title": "Simplifying rational expressions", "translated_title": "Simplifying rational expressions", "gplus_url": "", "id": "x97be1af9", "old_key_name": "IkwThwnPyDe2mKywNotXPZBH-US4nkdT-eXqPHbI", "hide": false, "title": "Simplifying rational expressions", "child_data": [{"kind": "Video", "id": 23782}, {"kind": "Video", "id": 8187340}, {"kind": "Video", "id": 27012}, {"kind": "Video", "id": 27013}], "children": [{"translated_youtube_id": "7Uos1ED3KHI", "relative_url": "/video/simplifying-rational-expressions-introduction", "has_questions": false, "keywords": "Simplifying, Rational, Expressions", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-introduction", "duration": 922, "translated_title": "Simplifying rational expressions introduction", "translated_description_html": "Simplifying Rational Expressions", "id": "23782", "description_html": "Simplifying Rational Expressions", "title": "Simplifying rational expressions introduction", "progress_key": "v23782", "edit_slug": "edit/v/23782", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying Rational Expressions", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.mp4/7Uos1ED3KHI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.mp4/7Uos1ED3KHI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7Uos1ED3KHI.m3u8/7Uos1ED3KHI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7Uos1ED3KHI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23782", "sha": "eb45e2fda03f1aa42733ce64ae5f786cf2a21d89", "translated_description": "Simplifying Rational Expressions", "image_url": "https://img.youtube.com/vi/7Uos1ED3KHI/hqdefault.jpg", "youtube_id": "7Uos1ED3KHI", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-introduction"}, {"translated_youtube_id": "XChok8XlF90", "relative_url": "/video/simplifying-rational-expressions-1", "has_questions": false, "keywords": "U11_L1_T1_we1, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-1", "duration": 251, "translated_title": "Simplifying rational expressions 1", "translated_description_html": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "id": "8187340", "description_html": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "title": "Simplifying rational expressions 1", "progress_key": "v8187340", "edit_slug": "edit/v/8187340", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.mp4/XChok8XlF90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.mp4/XChok8XlF90.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XChok8XlF90.m3u8/XChok8XlF90.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XChok8XlF90&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v8187340", "sha": "178de0dba85a5308394f8390ed5f79dbbbcff0d4", "translated_description": "U11_L1_T1_we1 Simplifying Rational Expressions 1", "image_url": "https://img.youtube.com/vi/XChok8XlF90/hqdefault.jpg", "youtube_id": "XChok8XlF90", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-1"}, {"translated_youtube_id": "dstNU7It-Ro", "relative_url": "/video/simplifying-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T1_we2, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-2", "duration": 402, "translated_title": "Simplifying rational expressions 2", "translated_description_html": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "id": "27012", "description_html": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "title": "Simplifying rational expressions 2", "progress_key": "v27012", "edit_slug": "edit/v/27012", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.mp4/dstNU7It-Ro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.mp4/dstNU7It-Ro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dstNU7It-Ro.m3u8/dstNU7It-Ro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dstNU7It-Ro&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27012", "sha": "52920d773f5c78432ac5ab00bf82b1c5c2df7e9d", "translated_description": "U11_L1_T1_we2 Simplifying Rational Expressions 2", "image_url": "https://img.youtube.com/vi/dstNU7It-Ro/hqdefault.jpg", "youtube_id": "dstNU7It-Ro", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-2"}, {"translated_youtube_id": "ey_b3aPsRl8", "relative_url": "/video/simplifying-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T1_we3, Simplifying, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7, CC_39336_A-CED_1, CC_39336_A-REI_2, CC_39336_A-SSE_2, CC_39336_F-IF_2, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/simplifying-rational-expressions-3", "duration": 233, "translated_title": "Simplifying rational expressions 3", "translated_description_html": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "id": "27013", "description_html": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "title": "Simplifying rational expressions 3", "progress_key": "v27013", "edit_slug": "edit/v/27013", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "extra_properties": null, "node_slug": "v/simplifying-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.mp4/ey_b3aPsRl8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.mp4/ey_b3aPsRl8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ey_b3aPsRl8.m3u8/ey_b3aPsRl8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ey_b3aPsRl8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27013", "sha": "e9eccdc1a4fdd76a1ef170799dc00f3c0626a8ac", "translated_description": "U11_L1_T1_we3 Simplifying Rational Expressions 3", "image_url": "https://img.youtube.com/vi/ey_b3aPsRl8/hqdefault.jpg", "youtube_id": "ey_b3aPsRl8", "content_kind": "Video", "readable_id": "simplifying-rational-expressions-3"}], "twitter_url": "", "translated_description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", "x_pos": 0.0, "node_slug": "simplifying-rational-expressions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97be1af9", "topic_page_url": "/math/trigonometry/polynomial_and_rational/simplifying-rational-expressions", "extended_slug": "math/trigonometry/polynomial_and_rational/simplifying-rational-expressions", "slug": "simplifying-rational-expressions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e29375da16c59bc77ef645a9250b85a633b6b2c3", "standalone_title": "Simplifying rational expressions", "y_pos": 0.0, "current_revision_key": "e29375da16c59bc77ef645a9250b85a633b6b2c3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial", "translated_standalone_title": "Rational functions", "translated_title": "Rational functions", "gplus_url": "", "id": "x6ff03783", "old_key_name": "TxEY35DbomI0MKF-rNNawRkAxFnrmvhbdqXlK6sd", "hide": false, "title": "Rational functions", "child_data": [{"kind": "Video", "id": 124291566}, {"kind": "Video", "id": 27018}, {"kind": "Video", "id": 27019}, {"kind": "Video", "id": 124291561}, {"kind": "Video", "id": 27020}, {"kind": "Video", "id": 27021}, {"kind": "Video", "id": 27022}, {"kind": "Video", "id": 124291557}, {"kind": "Video", "id": 8187347}, {"kind": "Video", "id": 27075}, {"kind": "Video", "id": 27076}, {"kind": "Video", "id": 124284694}, {"kind": "Video", "id": 27014}, {"kind": "Video", "id": 27015}, {"kind": "Video", "id": 27016}, {"kind": "Video", "id": 124291568}, {"kind": "Video", "id": 23568}, {"kind": "Video", "id": 23570}], "children": [{"translated_youtube_id": "y_DweTAEYWk", "relative_url": "/video/adding-and-subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we4, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions", "duration": 495, "translated_title": "Adding and subtracting rational expressions", "translated_description_html": "Adding and Subtracting Rational Expressions", "id": "124291566", "description_html": "Adding and Subtracting Rational Expressions", "title": "Adding and subtracting rational expressions", "progress_key": "v124291566", "edit_slug": "edit/v/124291566", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding and Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.m3u8/y_DweTAEYWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y_DweTAEYWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291566", "sha": "b87e8df27f142bb0bfbe48d9fad2ab004e62291d", "translated_description": "Adding and Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/y_DweTAEYWk/hqdefault.jpg", "youtube_id": "y_DweTAEYWk", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions"}, {"translated_youtube_id": "3tmFTHOP6Pc", "relative_url": "/video/adding-and-subtracting-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T3_we2, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-2", "duration": 176, "translated_title": "Adding and subtracting rational expressions 2", "translated_description_html": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "id": "27018", "description_html": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "title": "Adding and subtracting rational expressions 2", "progress_key": "v27018", "edit_slug": "edit/v/27018", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.m3u8/3tmFTHOP6Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3tmFTHOP6Pc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27018", "sha": "5d03a54a529966b991b603778edc3a4c6fb0a82a", "translated_description": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", "image_url": "https://img.youtube.com/vi/3tmFTHOP6Pc/hqdefault.jpg", "youtube_id": "3tmFTHOP6Pc", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions-2"}, {"translated_youtube_id": "IKsi-DQU2zo", "relative_url": "/video/adding-and-subtracting-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T3_we3, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-3", "duration": 276, "translated_title": "Adding and subtracting rational expressions 3", "translated_description_html": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "id": "27019", "description_html": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "title": "Adding and subtracting rational expressions 3", "progress_key": "v27019", "edit_slug": "edit/v/27019", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "extra_properties": null, "node_slug": "v/adding-and-subtracting-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.m3u8/IKsi-DQU2zo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IKsi-DQU2zo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v27019", "sha": "cd5777b1200801e9806c893032e166b32973d583", "translated_description": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", "image_url": "https://img.youtube.com/vi/IKsi-DQU2zo/hqdefault.jpg", "youtube_id": "IKsi-DQU2zo", "content_kind": "Video", "readable_id": "adding-and-subtracting-rational-expressions-3"}, {"translated_youtube_id": "bRwJ-QCz9XU", "relative_url": "/video/rational-equations", "has_questions": false, "keywords": "u15_l2_t1_we1, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/rational-equations", "duration": 256, "translated_title": "Rational equations", "translated_description_html": "

Rational Equations<\/p>", "id": "124291561", "description_html": "

Rational Equations<\/p>", "title": "Rational equations", "progress_key": "v124291561", "edit_slug": "edit/v/124291561", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rational Equations", "extra_properties": {}, "node_slug": "v/rational-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.m3u8/bRwJ-QCz9XU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bRwJ-QCz9XU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291561", "sha": "fe980c587232027780b77229f5ed17d437b7cc7b", "translated_description": "Rational Equations", "image_url": "https://img.youtube.com/vi/bRwJ-QCz9XU/hqdefault.jpg", "youtube_id": "bRwJ-QCz9XU", "content_kind": "Video", "readable_id": "rational-equations"}, {"translated_youtube_id": "Yaeze9u6Cv8", "relative_url": "/video/solving-rational-equations-1", "has_questions": false, "keywords": "U11_L2_T1_we1, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-1", "duration": 252, "translated_title": "Solving rational equations 1", "translated_description_html": "

Solving Rational Equations 1<\/p>", "id": "27020", "description_html": "

Solving Rational Equations 1<\/p>", "title": "Solving rational equations 1", "progress_key": "v27020", "edit_slug": "edit/v/27020", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 1", "extra_properties": {}, "node_slug": "v/solving-rational-equations-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.mp4/Yaeze9u6Cv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.mp4/Yaeze9u6Cv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yaeze9u6Cv8.m3u8/Yaeze9u6Cv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yaeze9u6Cv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27020", "sha": "626aadc1325085aaa42994e2982b4b0e4a91d80b", "translated_description": "Solving Rational Equations 1", "image_url": "https://img.youtube.com/vi/Yaeze9u6Cv8/hqdefault.jpg", "youtube_id": "Yaeze9u6Cv8", "content_kind": "Video", "readable_id": "solving-rational-equations-1"}, {"translated_youtube_id": "RdYA8ZpqdJE", "relative_url": "/video/solving-rational-equations-2", "has_questions": false, "keywords": "U11_L2_T1_we2, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-2", "duration": 248, "translated_title": "Solving rational equations 2", "translated_description_html": "

Solving Rational Equations 2<\/p>", "id": "27021", "description_html": "

Solving Rational Equations 2<\/p>", "title": "Solving rational equations 2", "progress_key": "v27021", "edit_slug": "edit/v/27021", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 2", "extra_properties": {}, "node_slug": "v/solving-rational-equations-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.mp4/RdYA8ZpqdJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.mp4/RdYA8ZpqdJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RdYA8ZpqdJE.m3u8/RdYA8ZpqdJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RdYA8ZpqdJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27021", "sha": "0e2c2069ba388241e31144a021835bee4ccc9fd7", "translated_description": "Solving Rational Equations 2", "image_url": "https://img.youtube.com/vi/RdYA8ZpqdJE/hqdefault.jpg", "youtube_id": "RdYA8ZpqdJE", "content_kind": "Video", "readable_id": "solving-rational-equations-2"}, {"translated_youtube_id": "5wUJLMWZ5Fw", "relative_url": "/video/solving-rational-equations-3", "has_questions": false, "keywords": "U11_L2_T1_we3, Solving, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-REI_2, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/solving-rational-equations-3", "duration": 272, "translated_title": "Solving rational equations 3", "translated_description_html": "

Solving Rational Equations 3<\/p>", "id": "27022", "description_html": "

Solving Rational Equations 3<\/p>", "title": "Solving rational equations 3", "progress_key": "v27022", "edit_slug": "edit/v/27022", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving Rational Equations 3", "extra_properties": {}, "node_slug": "v/solving-rational-equations-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.mp4/5wUJLMWZ5Fw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.mp4/5wUJLMWZ5Fw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5wUJLMWZ5Fw.m3u8/5wUJLMWZ5Fw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5wUJLMWZ5Fw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27022", "sha": "eba3e1dfb89da97767e2a6174a26d6adbbfab966", "translated_description": "Solving Rational Equations 3", "image_url": "https://img.youtube.com/vi/5wUJLMWZ5Fw/hqdefault.jpg", "youtube_id": "5wUJLMWZ5Fw", "content_kind": "Video", "readable_id": "solving-rational-equations-3"}, {"translated_youtube_id": "YO_SwIKGMqQ", "relative_url": "/video/subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we3, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/subtracting-rational-expressions", "duration": 335, "translated_title": "Subtracting rational expressions", "translated_description_html": "Subtracting Rational Expressions", "id": "124291557", "description_html": "Subtracting Rational Expressions", "title": "Subtracting rational expressions", "progress_key": "v124291557", "edit_slug": "edit/v/124291557", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.m3u8/YO_SwIKGMqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YO_SwIKGMqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291557", "sha": "2f392f76525715ebfe252fcf7b5b895c77246839", "translated_description": "Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/YO_SwIKGMqQ/hqdefault.jpg", "youtube_id": "YO_SwIKGMqQ", "content_kind": "Video", "readable_id": "subtracting-rational-expressions"}, {"translated_youtube_id": "gD7A1LA4jO8", "relative_url": "/video/applying-rational-equations-1", "has_questions": false, "keywords": "U11_L2_T2_we1, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-1", "duration": 326, "translated_title": "Applying rational equations 1", "translated_description_html": "

Applying Rational Equations 1<\/p>", "id": "8187347", "description_html": "

Applying Rational Equations 1<\/p>", "title": "Applying rational equations 1", "progress_key": "v8187347", "edit_slug": "edit/v/8187347", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 1", "extra_properties": {}, "node_slug": "v/applying-rational-equations-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.mp4/gD7A1LA4jO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.mp4/gD7A1LA4jO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gD7A1LA4jO8.m3u8/gD7A1LA4jO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gD7A1LA4jO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187347", "sha": "368421bb2426efd3fece277106e2d173e45f4bbe", "translated_description": "Applying Rational Equations 1", "image_url": "https://img.youtube.com/vi/gD7A1LA4jO8/hqdefault.jpg", "youtube_id": "gD7A1LA4jO8", "content_kind": "Video", "readable_id": "applying-rational-equations-1"}, {"translated_youtube_id": "E1j8W64NQ0Y", "relative_url": "/video/applying-rational-equations-2", "has_questions": false, "keywords": "U11_L2_T2_we2, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-2", "duration": 360, "translated_title": "Applying rational equations 2", "translated_description_html": "

Applying Rational Equations 2<\/p>", "id": "27075", "description_html": "

Applying Rational Equations 2<\/p>", "title": "Applying rational equations 2", "progress_key": "v27075", "edit_slug": "edit/v/27075", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 2", "extra_properties": {}, "node_slug": "v/applying-rational-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.mp4/E1j8W64NQ0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.mp4/E1j8W64NQ0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E1j8W64NQ0Y.m3u8/E1j8W64NQ0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E1j8W64NQ0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27075", "sha": "77329ff720c3a5a6edd5a2b8610547cad3233198", "translated_description": "Applying Rational Equations 2", "image_url": "https://img.youtube.com/vi/E1j8W64NQ0Y/hqdefault.jpg", "youtube_id": "E1j8W64NQ0Y", "content_kind": "Video", "readable_id": "applying-rational-equations-2"}, {"translated_youtube_id": "B0Z4s38YIgQ", "relative_url": "/video/applying-rational-equations-3", "has_questions": false, "keywords": "U11_L2_T2_we3, Applying, Rational, Equations, CC_39336_A-APR_7, CC_39336_A-CED_1", "ka_url": "http://www.khanacademy.org/video/applying-rational-equations-3", "duration": 479, "translated_title": "Applying rational equations 3", "translated_description_html": "

Applying Rational Equations 3<\/p>", "id": "27076", "description_html": "

Applying Rational Equations 3<\/p>", "title": "Applying rational equations 3", "progress_key": "v27076", "edit_slug": "edit/v/27076", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Applying Rational Equations 3", "extra_properties": {}, "node_slug": "v/applying-rational-equations-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:29:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.mp4/B0Z4s38YIgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.mp4/B0Z4s38YIgQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B0Z4s38YIgQ.m3u8/B0Z4s38YIgQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B0Z4s38YIgQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27076", "sha": "1567a321dd631fb34011bf11ec8e90432fa6b6fd", "translated_description": "Applying Rational Equations 3", "image_url": "https://img.youtube.com/vi/B0Z4s38YIgQ/hqdefault.jpg", "youtube_id": "B0Z4s38YIgQ", "content_kind": "Video", "readable_id": "applying-rational-equations-3"}, {"translated_youtube_id": "x6FFjiHPlSI", "relative_url": "/video/multiplying-and-simplifying-rational-expressions", "has_questions": false, "keywords": "u15_l1_t2_we1, Multiplying, and, Simplifying, Rational, Expressions, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/multiplying-and-simplifying-rational-expressions", "duration": 305, "translated_title": "Multiplying and simplifying rational expressions", "translated_description_html": "Multiplying and Simplifying Rational Expressions", "id": "124284694", "description_html": "Multiplying and Simplifying Rational Expressions", "title": "Multiplying and simplifying rational expressions", "progress_key": "v124284694", "edit_slug": "edit/v/124284694", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Simplifying Rational Expressions", "extra_properties": null, "node_slug": "v/multiplying-and-simplifying-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.mp4/x6FFjiHPlSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.mp4/x6FFjiHPlSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x6FFjiHPlSI.m3u8/x6FFjiHPlSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x6FFjiHPlSI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124284694", "sha": "b409068c85aa8073c7ff442b51666c57eb78607c", "translated_description": "Multiplying and Simplifying Rational Expressions", "image_url": "https://img.youtube.com/vi/x6FFjiHPlSI/hqdefault.jpg", "youtube_id": "x6FFjiHPlSI", "content_kind": "Video", "readable_id": "multiplying-and-simplifying-rational-expressions"}, {"translated_youtube_id": "3GL69IA2q4s", "relative_url": "/video/multiplying-and-dividing-rational-expressions-1", "has_questions": false, "keywords": "U11_L1_T2_we1, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_7, CC_39336_F-IF_2", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-1", "duration": 218, "translated_title": "Multiplying and dividing rational expressions 1", "translated_description_html": "Multiplying and Dividing Rational Expressions 1", "id": "27014", "description_html": "Multiplying and Dividing Rational Expressions 1", "title": "Multiplying and dividing rational expressions 1", "progress_key": "v27014", "edit_slug": "edit/v/27014", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 1", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-rational-expressions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.mp4/3GL69IA2q4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.mp4/3GL69IA2q4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3GL69IA2q4s.m3u8/3GL69IA2q4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3GL69IA2q4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27014", "sha": "b2801773e0787fbe28790cc2ea4c11e0340f31ea", "translated_description": "Multiplying and Dividing Rational Expressions 1", "image_url": "https://img.youtube.com/vi/3GL69IA2q4s/hqdefault.jpg", "youtube_id": "3GL69IA2q4s", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-1"}, {"translated_youtube_id": "f-wz_ZzSDdg", "relative_url": "/video/multiplying-and-dividing-rational-expressions-2", "has_questions": false, "keywords": "U11_L1_T2_we2, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-2", "duration": 292, "translated_title": "Multiplying and dividing rational expressions 2", "translated_description_html": "Multiplying and Dividing Rational Expressions 2", "id": "27015", "description_html": "Multiplying and Dividing Rational Expressions 2", "title": "Multiplying and dividing rational expressions 2", "progress_key": "v27015", "edit_slug": "edit/v/27015", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 2", "extra_properties": null, "node_slug": "v/multiplying-and-dividing-rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.mp4/f-wz_ZzSDdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.mp4/f-wz_ZzSDdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f-wz_ZzSDdg.m3u8/f-wz_ZzSDdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f-wz_ZzSDdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27015", "sha": "73c470158506d19a3838216c28324da43e06d954", "translated_description": "Multiplying and Dividing Rational Expressions 2", "image_url": "https://img.youtube.com/vi/f-wz_ZzSDdg/hqdefault.jpg", "youtube_id": "f-wz_ZzSDdg", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-2"}, {"translated_youtube_id": "gcnk8TnzsLc", "relative_url": "/video/multiplying-and-dividing-rational-expressions-3", "has_questions": false, "keywords": "U11_L1_T2_we3.1, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7", "ka_url": "http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-3", "duration": 250, "translated_title": "Multiplying and dividing rational expressions 3", "translated_description_html": "

Multiplying and Dividing Rational Expressions 3<\/p>\n", "id": "27016", "description_html": "

Multiplying and Dividing Rational Expressions 3<\/p>\n", "title": "Multiplying and dividing rational expressions 3", "progress_key": "v27016", "edit_slug": "edit/v/27016", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Multiplying and Dividing Rational Expressions 3\n", "extra_properties": {"original_url": ""}, "node_slug": "v/multiplying-and-dividing-rational-expressions-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.m3u8/gcnk8TnzsLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gcnk8TnzsLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27016", "sha": "fbe6bb74b0131732b1975dea23ddbfc0179cb893", "translated_description": "Multiplying and Dividing Rational Expressions 3\n", "image_url": "https://img.youtube.com/vi/gcnk8TnzsLc/hqdefault.jpg", "youtube_id": "gcnk8TnzsLc", "content_kind": "Video", "readable_id": "multiplying-and-dividing-rational-expressions-3"}, {"translated_youtube_id": "bml74_PsfwA", "relative_url": "/video/extraneous-solutions-to-rational-equations", "has_questions": false, "keywords": "u15_l2_t1_we2, Extraneous, Solutions, to, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", "ka_url": "http://www.khanacademy.org/video/extraneous-solutions-to-rational-equations", "duration": 183, "translated_title": "Extraneous solutions to rational equations", "translated_description_html": "

Extraneous Solutions to Rational Equations<\/p>", "id": "124291568", "description_html": "

Extraneous Solutions to Rational Equations<\/p>", "title": "Extraneous solutions to rational equations", "progress_key": "v124291568", "edit_slug": "edit/v/124291568", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Extraneous Solutions to Rational Equations", "extra_properties": {}, "node_slug": "v/extraneous-solutions-to-rational-equations", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.m3u8/bml74_PsfwA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bml74_PsfwA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291568", "sha": "aa1e209bb9ce81b4aaa64f59f55d500432ee62a4", "translated_description": "Extraneous Solutions to Rational Equations", "image_url": "https://img.youtube.com/vi/bml74_PsfwA/hqdefault.jpg", "youtube_id": "bml74_PsfwA", "content_kind": "Video", "readable_id": "extraneous-solutions-to-rational-equations"}, {"translated_youtube_id": "ZjeMdXV0QMg", "relative_url": "/video/rational-inequalities", "has_questions": false, "keywords": "algebra, inequality, rational, fraction", "ka_url": "http://www.khanacademy.org/video/rational-inequalities", "duration": 709, "translated_title": "Rational inequalities", "translated_description_html": "

Two ways to solve a rational inequality (or an inequality involving a fractional expression)<\/p>", "id": "23568", "description_html": "

Two ways to solve a rational inequality (or an inequality involving a fractional expression)<\/p>", "title": "Rational inequalities", "progress_key": "v23568", "edit_slug": "edit/v/23568", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Two ways to solve a rational inequality (or an inequality involving a fractional expression)", "extra_properties": {}, "node_slug": "v/rational-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.m3u8/ZjeMdXV0QMg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZjeMdXV0QMg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v23568", "sha": "dcad01a83771fa0613f2a1acb7c57a526975c1bd", "translated_description": "Two ways to solve a rational inequality (or an inequality involving a fractional expression)", "image_url": "https://img.youtube.com/vi/ZjeMdXV0QMg/hqdefault.jpg", "youtube_id": "ZjeMdXV0QMg", "content_kind": "Video", "readable_id": "rational-inequalities"}, {"translated_youtube_id": "2RnS3fSHVV8", "relative_url": "/video/rational-inequalities-2", "has_questions": false, "keywords": "algebra, rational, inequality", "ka_url": "http://www.khanacademy.org/video/rational-inequalities-2", "duration": 795, "translated_title": "Rational inequalities 2", "translated_description_html": "

Slightly harder rational inequality problem<\/p>", "id": "23570", "description_html": "

Slightly harder rational inequality problem<\/p>", "title": "Rational inequalities 2", "progress_key": "v23570", "edit_slug": "edit/v/23570", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slightly harder rational inequality problem", "extra_properties": {}, "node_slug": "v/rational-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.mp4/2RnS3fSHVV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.mp4/2RnS3fSHVV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2RnS3fSHVV8.m3u8/2RnS3fSHVV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2RnS3fSHVV8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23570", "sha": "73fa3043a2fd3b3aeb40151f23179b9a401d02c1", "translated_description": "Slightly harder rational inequality problem", "image_url": "https://img.youtube.com/vi/2RnS3fSHVV8/hqdefault.jpg", "youtube_id": "2RnS3fSHVV8", "content_kind": "Video", "readable_id": "rational-inequalities-2"}], "twitter_url": "", "translated_description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?", "x_pos": 0.0, "node_slug": "rational_funcs_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6ff03783", "topic_page_url": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial", "extended_slug": "math/trigonometry/polynomial_and_rational/rational_funcs_tutorial", "slug": "rational_funcs_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c4c7c66b58081de033e97080e07ba5f85962e0d1", "standalone_title": "Rational functions", "y_pos": 0.0, "current_revision_key": "c4c7c66b58081de033e97080e07ba5f85962e0d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational", "translated_standalone_title": "Asymptotes and graphing rational functions", "translated_title": "Asymptotes and graphing rational functions", "gplus_url": "", "id": "x6b8ae017", "old_key_name": "h1DgnfzMEZILocnk2tea7p1Gdzvdj0p89a_jJvE1", "hide": false, "title": "Asymptotes and graphing rational functions", "child_data": [{"kind": "Video", "id": 23774}, {"kind": "Video", "id": 23776}, {"kind": "Video", "id": 23778}], "children": [{"translated_youtube_id": "2N62v_63SBo", "relative_url": "/video/asymptotes-of-rational-functions", "has_questions": false, "keywords": "Asymptotes, of, Rational, Functions, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/asymptotes-of-rational-functions", "duration": 1266, "translated_title": "Asymptotes of rational functions", "translated_description_html": "Asymptotes of Rational Functions", "id": "23774", "description_html": "Asymptotes of Rational Functions", "title": "Asymptotes of rational functions", "progress_key": "v23774", "edit_slug": "edit/v/23774", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Asymptotes of Rational Functions", "extra_properties": null, "node_slug": "v/asymptotes-of-rational-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.m3u8/2N62v_63SBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2N62v_63SBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23774", "sha": "0312a8535ab5137fc1785ac8d27d725ef5c356b7", "translated_description": "Asymptotes of Rational Functions", "image_url": "https://img.youtube.com/vi/2N62v_63SBo/hqdefault.jpg", "youtube_id": "2N62v_63SBo", "content_kind": "Video", "readable_id": "asymptotes-of-rational-functions"}, {"translated_youtube_id": "ReEMqdZEEX0", "relative_url": "/video/another-rational-function-graph-example", "has_questions": false, "keywords": "Another, Rational, Function, Graph, Example, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/another-rational-function-graph-example", "duration": 500, "translated_title": "Another rational function graph example", "translated_description_html": "Another Rational Function Graph Example", "id": "23776", "description_html": "Another Rational Function Graph Example", "title": "Another rational function graph example", "progress_key": "v23776", "edit_slug": "edit/v/23776", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another Rational Function Graph Example", "extra_properties": null, "node_slug": "v/another-rational-function-graph-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.m3u8/ReEMqdZEEX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ReEMqdZEEX0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23776", "sha": "a7964f6b6cddc7074fc234f60a1fbbfc9ee66852", "translated_description": "Another Rational Function Graph Example", "image_url": "https://img.youtube.com/vi/ReEMqdZEEX0/hqdefault.jpg", "youtube_id": "ReEMqdZEEX0", "content_kind": "Video", "readable_id": "another-rational-function-graph-example"}, {"translated_youtube_id": "p7ycTWq6BFk", "relative_url": "/video/a-third-example-of-graphing-a-rational-function", "has_questions": false, "keywords": "Third, Example, of, Graphing, Rational, Function, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/a-third-example-of-graphing-a-rational-function", "duration": 691, "translated_title": "A third example of graphing a rational function", "translated_description_html": "A Third Example of Graphing a Rational Function", "id": "23778", "description_html": "A Third Example of Graphing a Rational Function", "title": "A third example of graphing a rational function", "progress_key": "v23778", "edit_slug": "edit/v/23778", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A Third Example of Graphing a Rational Function", "extra_properties": null, "node_slug": "v/a-third-example-of-graphing-a-rational-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.mp4/p7ycTWq6BFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.mp4/p7ycTWq6BFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p7ycTWq6BFk.m3u8/p7ycTWq6BFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p7ycTWq6BFk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23778", "sha": "54182c8a28f38ac2c11a06bc349ec1555f065506", "translated_description": "A Third Example of Graphing a Rational Function", "image_url": "https://img.youtube.com/vi/p7ycTWq6BFk/hqdefault.jpg", "youtube_id": "p7ycTWq6BFk", "content_kind": "Video", "readable_id": "a-third-example-of-graphing-a-rational-function"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "asymptotes-graphing-rational", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b8ae017", "topic_page_url": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational", "extended_slug": "math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational", "slug": "asymptotes-graphing-rational", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d100821e8ccf1f2e27be9491c8604aa5d9948291", "standalone_title": "Asymptotes and graphing rational functions", "y_pos": 0.0, "current_revision_key": "d100821e8ccf1f2e27be9491c8604aa5d9948291", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/partial-fraction-expansion", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/partial-fraction-expansion", "translated_standalone_title": "Partial fraction expansion", "translated_title": "Partial fraction expansion", "gplus_url": "", "id": "xb76b1aad", "old_key_name": "StpJSoquoqs_pJy14TrjSdcEPccTGlXLv0G_ibI3", "hide": false, "title": "Partial fraction expansion", "child_data": [{"kind": "Video", "id": 23546}, {"kind": "Video", "id": 23548}, {"kind": "Video", "id": 23550}, {"kind": "Exercise", "id": 1439947130}], "children": [{"translated_youtube_id": "S-XKGBesRzk", "relative_url": "/video/partial-fraction-expansion-1", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-1", "duration": 688, "translated_title": "Partial fraction expansion 1", "translated_description_html": "Introduction to partial fraction expansion", "id": "23546", "description_html": "Introduction to partial fraction expansion", "title": "Partial fraction expansion 1", "progress_key": "v23546", "edit_slug": "edit/v/23546", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to partial fraction expansion", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.mp4/S-XKGBesRzk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.mp4/S-XKGBesRzk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S-XKGBesRzk.m3u8/S-XKGBesRzk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S-XKGBesRzk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23546", "sha": "07cf666f7e106cce430b6f73295ca2fe272eb893", "translated_description": "Introduction to partial fraction expansion", "image_url": "https://img.youtube.com/vi/S-XKGBesRzk/hqdefault.jpg", "youtube_id": "S-XKGBesRzk", "content_kind": "Video", "readable_id": "partial-fraction-expansion-1"}, {"translated_youtube_id": "6FrPLJY0rqM", "relative_url": "/video/partial-fraction-expansion-2", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-2", "duration": 782, "translated_title": "Partial fraction expansion 2", "translated_description_html": "A more complex problem", "id": "23548", "description_html": "A more complex problem", "title": "Partial fraction expansion 2", "progress_key": "v23548", "edit_slug": "edit/v/23548", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A more complex problem", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.mp4/6FrPLJY0rqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.mp4/6FrPLJY0rqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6FrPLJY0rqM.m3u8/6FrPLJY0rqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6FrPLJY0rqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23548", "sha": "b5b4a0e960580872cf0ae5d717f2e5d0561a7eaa", "translated_description": "A more complex problem", "image_url": "https://img.youtube.com/vi/6FrPLJY0rqM/hqdefault.jpg", "youtube_id": "6FrPLJY0rqM", "content_kind": "Video", "readable_id": "partial-fraction-expansion-2"}, {"translated_youtube_id": "A52fEdPn9lg", "relative_url": "/video/partial-fraction-expansion-3", "has_questions": false, "keywords": "partial, fraction, expansion, decomposition, CC_39336_A-APR_6", "ka_url": "http://www.khanacademy.org/video/partial-fraction-expansion-3", "duration": 635, "translated_title": "Partial fraction expansion 3", "translated_description_html": "Dealing with repeated factors", "id": "23550", "description_html": "Dealing with repeated factors", "title": "Partial fraction expansion 3", "progress_key": "v23550", "edit_slug": "edit/v/23550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dealing with repeated factors", "extra_properties": null, "node_slug": "v/partial-fraction-expansion-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.mp4/A52fEdPn9lg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.mp4/A52fEdPn9lg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A52fEdPn9lg.m3u8/A52fEdPn9lg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A52fEdPn9lg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23550", "sha": "8db1e5541f1275930cc8ebd8aafc65b4e45b93ce", "translated_description": "Dealing with repeated factors", "image_url": "https://img.youtube.com/vi/A52fEdPn9lg/hqdefault.jpg", "youtube_id": "A52fEdPn9lg", "content_kind": "Video", "readable_id": "partial-fraction-expansion-3"}], "twitter_url": "", "translated_description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.\n\nThis has many uses throughout mathematics. In particular, it is key when taking inverse Laplace transforms in differential equations (which you'll take, and rock, after calculus).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.\n\nThis has many uses throughout mathematics. In particular, it is key when taking inverse Laplace transforms in differential equations (which you'll take, and rock, after calculus).", "x_pos": 0.0, "node_slug": "partial-fraction-expansion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb76b1aad", "topic_page_url": "/math/trigonometry/polynomial_and_rational/partial-fraction-expansion", "extended_slug": "math/trigonometry/polynomial_and_rational/partial-fraction-expansion", "slug": "partial-fraction-expansion", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9e23dde2727be0be296ea06e91a8b6f9a8d79f32", "standalone_title": "Partial fraction expansion", "y_pos": 0.0, "current_revision_key": "9e23dde2727be0be296ea06e91a8b6f9a8d79f32", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/polynomial_and_rational/advanced-structure-in-expression", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/advanced-structure-in-expression", "translated_standalone_title": "Advanced structure in expressions", "translated_title": "Advanced structure in expressions", "gplus_url": "", "id": "x50066900", "old_key_name": null, "hide": false, "title": "Advanced structure in expressions", "child_data": [{"kind": "Video", "id": "x9a692344"}, {"kind": "Video", "id": "x7de74d32"}, {"kind": "Exercise", "id": "xfb360bcf"}], "children": [{"translated_youtube_id": "mNgW6SAQLhk", "relative_url": "/video/structure-in-rational-expression", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structure-in-rational-expression", "duration": 281, "translated_title": "Structure in rational expression", "translated_description_html": "", "id": "x9a692344", "description_html": "", "title": "Structure in rational expression", "progress_key": "vx9a692344", "edit_slug": "edit/v/x9a692344", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/structure-in-rational-expression", "deleted": false, "backup_timestamp": "2013-11-10T07:00:01Z", "date_added": "2013-11-10T07:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mNgW6SAQLhk.mp4/mNgW6SAQLhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mNgW6SAQLhk.mp4/mNgW6SAQLhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mNgW6SAQLhk.m3u8/mNgW6SAQLhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mNgW6SAQLhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a692344", "sha": "b08beffb518299bb3a961e4306f6e4c84243f0a8", "translated_description": "", "image_url": "https://img.youtube.com/vi/mNgW6SAQLhk/hqdefault.jpg", "youtube_id": "mNgW6SAQLhk", "content_kind": "Video", "readable_id": "structure-in-rational-expression"}, {"translated_youtube_id": "gR8-vRg6Yp0", "relative_url": "/video/structure-in-exponential-expression", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structure-in-exponential-expression", "duration": 439, "translated_title": "Structure in exponential expression", "translated_description_html": "", "id": "x7de74d32", "description_html": "", "title": "Structure in exponential expression", "progress_key": "vx7de74d32", "edit_slug": "edit/v/x7de74d32", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/structure-in-exponential-expression", "deleted": false, "backup_timestamp": "2013-11-10T07:00:01Z", "date_added": "2013-11-10T07:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gR8-vRg6Yp0.mp4/gR8-vRg6Yp0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gR8-vRg6Yp0.mp4/gR8-vRg6Yp0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gR8-vRg6Yp0.m3u8/gR8-vRg6Yp0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gR8-vRg6Yp0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7de74d32", "sha": "eb6cd039e602db9458dc3d610d0bce37fb194d5c", "translated_description": "", "image_url": "https://img.youtube.com/vi/gR8-vRg6Yp0/hqdefault.jpg", "youtube_id": "gR8-vRg6Yp0", "content_kind": "Video", "readable_id": "structure-in-exponential-expression"}], "twitter_url": "", "translated_description": "This tutorial is all about *really* being able to interpret and see meaning in algebraic expressions--including those that involve rational expressions, exponentials, and polynomials. If you enjoy these ideas and problems, then you're really begun to develop your mathematical maturity.\n\n\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is all about *really* being able to interpret and see meaning in algebraic expressions--including those that involve rational expressions, exponentials, and polynomials. If you enjoy these ideas and problems, then you're really begun to develop your mathematical maturity.\n\n\n", "x_pos": 0.0, "node_slug": "advanced-structure-in-expression", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-10T07:00:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax50066900", "topic_page_url": "/math/trigonometry/polynomial_and_rational/advanced-structure-in-expression", "extended_slug": "math/trigonometry/polynomial_and_rational/advanced-structure-in-expression", "slug": "advanced-structure-in-expression", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "365345d034a4d50e2afb0754d4a4ce4d7c384105", "standalone_title": "Advanced structure in expressions", "y_pos": 0.0, "current_revision_key": "365345d034a4d50e2afb0754d4a4ce4d7c384105", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions.", "x_pos": 0.0, "node_slug": "polynomial_and_rational", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5e2afacb", "topic_page_url": "/math/trigonometry/polynomial_and_rational", "extended_slug": "math/trigonometry/polynomial_and_rational", "slug": "polynomial_and_rational", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "24dafd0d734887995b31d2d8036d902a068a3e80", "standalone_title": "Polynomial and rational functions", "y_pos": 0.0, "current_revision_key": "24dafd0d734887995b31d2d8036d902a068a3e80", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/exponential_and_logarithmic_func", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func", "translated_standalone_title": "Exponential and logarithmic functions", "translated_title": "Exponential and logarithmic functions", "gplus_url": "", "id": "x872c276b", "old_key_name": "HLMBLydsb6znJ3qqeNifVoW73vY2Jxn9MI7mJi1D", "hide": false, "title": "Exponential and logarithmic functions", "child_data": [{"kind": "Topic", "id": "x05dc303d"}, {"kind": "Topic", "id": "x43314421"}, {"kind": "Topic", "id": "x825dc5bd"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay", "translated_standalone_title": "Exponential growth and decay", "translated_title": "Exponential growth and decay", "gplus_url": "", "id": "x05dc303d", "old_key_name": "EL98aEmOgl38cRI7nj-6PRzdo2nRs1gicpNdLFro", "hide": false, "title": "Exponential growth and decay", "child_data": [{"kind": "Video", "id": 23694}, {"kind": "Video", "id": 364954029}, {"kind": "Video", "id": 124291557}, {"kind": "Video", "id": 23700}, {"kind": "Video", "id": 24252}], "children": [{"translated_youtube_id": "6WMZ7J0wwMI", "relative_url": "/video/exponential-growth-functions", "has_questions": false, "keywords": "Exponential, Growth, Functions, CC_39336_F-IF_8_b, CC_39336_F-LE_1_c", "ka_url": "http://www.khanacademy.org/video/exponential-growth-functions", "duration": 461, "translated_title": "Exponential growth functions", "translated_description_html": "Exponential Growth Functions", "id": "23694", "description_html": "Exponential Growth Functions", "title": "Exponential growth functions", "progress_key": "v23694", "edit_slug": "edit/v/23694", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exponential Growth Functions", "extra_properties": null, "node_slug": "v/exponential-growth-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6WMZ7J0wwMI.mp4/6WMZ7J0wwMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6WMZ7J0wwMI.mp4/6WMZ7J0wwMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6WMZ7J0wwMI.m3u8/6WMZ7J0wwMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6WMZ7J0wwMI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23694", "sha": "ccfa5c2488751c858ccc4a6c883f897b2312a044", "translated_description": "Exponential Growth Functions", "image_url": "https://img.youtube.com/vi/6WMZ7J0wwMI/hqdefault.jpg", "youtube_id": "6WMZ7J0wwMI", "content_kind": "Video", "readable_id": "exponential-growth-functions"}, {"translated_youtube_id": "9SOSfRNCQZQ", "relative_url": "/video/graphing-exponential-functions", "has_questions": false, "keywords": "u18_l1_t1_we1, Graphing, Exponential, Functions", "ka_url": "http://www.khanacademy.org/video/graphing-exponential-functions", "duration": 332, "translated_title": "Ex: Graphing exponential functions", "translated_description_html": "Graphing Exponential Functions", "id": "364954029", "description_html": "Graphing Exponential Functions", "title": "Ex: Graphing exponential functions", "progress_key": "v364954029", "edit_slug": "edit/v/364954029", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Graphing Exponential Functions", "extra_properties": null, "node_slug": "v/graphing-exponential-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-08T11:00:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.mp4/9SOSfRNCQZQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.mp4/9SOSfRNCQZQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9SOSfRNCQZQ.m3u8/9SOSfRNCQZQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9SOSfRNCQZQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364954029", "sha": "1a89a3637627aebae4b4b3d7d5ff16d1bf7d11cf", "translated_description": "Graphing Exponential Functions", "image_url": "https://img.youtube.com/vi/9SOSfRNCQZQ/hqdefault.jpg", "youtube_id": "9SOSfRNCQZQ", "content_kind": "Video", "readable_id": "graphing-exponential-functions"}, {"translated_youtube_id": "YO_SwIKGMqQ", "relative_url": "/video/subtracting-rational-expressions", "has_questions": false, "keywords": "u15_l1_t3_we3, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", "ka_url": "http://www.khanacademy.org/video/subtracting-rational-expressions", "duration": 335, "translated_title": "Subtracting rational expressions", "translated_description_html": "Subtracting Rational Expressions", "id": "124291557", "description_html": "Subtracting Rational Expressions", "title": "Subtracting rational expressions", "progress_key": "v124291557", "edit_slug": "edit/v/124291557", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Rational Expressions", "extra_properties": null, "node_slug": "v/subtracting-rational-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-21T23:30:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.m3u8/YO_SwIKGMqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YO_SwIKGMqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v124291557", "sha": "2f392f76525715ebfe252fcf7b5b895c77246839", "translated_description": "Subtracting Rational Expressions", "image_url": "https://img.youtube.com/vi/YO_SwIKGMqQ/hqdefault.jpg", "youtube_id": "YO_SwIKGMqQ", "content_kind": "Video", "readable_id": "subtracting-rational-expressions"}, {"translated_youtube_id": "m5Tf6vgoJtQ", "relative_url": "/video/word-problem-solving--exponential-growth-and-decay", "has_questions": false, "keywords": "Word, Problem, Solving, Exponential, Growth, and, Decay", "ka_url": "http://www.khanacademy.org/video/word-problem-solving--exponential-growth-and-decay", "duration": 441, "translated_title": "Exponential growth and decay word problems", "translated_description_html": "Word Problem Solving- Exponential Growth and Decay", "id": "23700", "description_html": "Word Problem Solving- Exponential Growth and Decay", "title": "Exponential growth and decay word problems", "progress_key": "v23700", "edit_slug": "edit/v/23700", "author_names": ["Sal Khan", "CK-12 Foundation"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Word Problem Solving- Exponential Growth and Decay", "extra_properties": null, "node_slug": "v/word-problem-solving--exponential-growth-and-decay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5Tf6vgoJtQ.mp4/m5Tf6vgoJtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5Tf6vgoJtQ.mp4/m5Tf6vgoJtQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5Tf6vgoJtQ.m3u8/m5Tf6vgoJtQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5Tf6vgoJtQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23700", "sha": "e5ecd812863ff576544fd4a66e1465ac90bab2b3", "translated_description": "Word Problem Solving- Exponential Growth and Decay", "image_url": "https://img.youtube.com/vi/m5Tf6vgoJtQ/hqdefault.jpg", "youtube_id": "m5Tf6vgoJtQ", "content_kind": "Video", "readable_id": "word-problem-solving--exponential-growth-and-decay"}, {"translated_youtube_id": "JWfTckls59k", "relative_url": "/video/exponential-growth", "has_questions": false, "keywords": "Exponential, growth, calculus, CC_39336_A-SSE_3_c, CC_39336_F-BF_1, CC_39336_F-BF_1_b, CC_39336_F-IF_8_b", "ka_url": "http://www.khanacademy.org/video/exponential-growth", "duration": 960, "translated_title": "Exponential growth", "translated_description_html": "Exponential growth involving bacteria (some calculus in part c).", "id": "24252", "description_html": "Exponential growth involving bacteria (some calculus in part c).", "title": "Exponential growth", "progress_key": "v24252", "edit_slug": "edit/v/24252", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exponential growth involving bacteria (some calculus in part c).", "extra_properties": null, "node_slug": "v/exponential-growth", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JWfTckls59k.mp4/JWfTckls59k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JWfTckls59k.mp4/JWfTckls59k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JWfTckls59k.m3u8/JWfTckls59k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JWfTckls59k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24252", "sha": "fabe83ba8e35ca79cb4c16f5a287d8d2ccf76c0e", "translated_description": "Exponential growth involving bacteria (some calculus in part c).", "image_url": "https://img.youtube.com/vi/JWfTckls59k/hqdefault.jpg", "youtube_id": "JWfTckls59k", "content_kind": "Video", "readable_id": "exponential-growth"}], "twitter_url": "", "translated_description": "From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.", "x_pos": 0.0, "node_slug": "exp_growth_decay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax05dc303d", "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay", "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay", "slug": "exp_growth_decay", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7702c4ae12bf4c7c106fdf9085a2d7668b5016db", "standalone_title": "Exponential growth and decay", "y_pos": 0.0, "current_revision_key": "7702c4ae12bf4c7c106fdf9085a2d7668b5016db", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/exponential_and_logarithmic_func/log_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func/log_functions", "translated_standalone_title": "Logarithmic functions", "translated_title": "Logarithmic functions", "gplus_url": "", "id": "x43314421", "old_key_name": "ynxKLNWx8m1CM1AphRaC8vXq6lRXDhVtrA-8et8e", "hide": false, "title": "Logarithmic functions", "child_data": [{"kind": "Video", "id": 367721780}, {"kind": "Video", "id": 214235939}, {"kind": "Video", "id": 214235936}, {"kind": "Video", "id": 214235938}, {"kind": "Video", "id": 214235937}, {"kind": "Video", "id": 367722962}, {"kind": "Video", "id": 370262996}], "children": [{"translated_youtube_id": "DuYgVVU_BwY", "relative_url": "/video/graphing-logarithmic-functions", "has_questions": false, "keywords": "u18_l2_t1_we3, Graphing, Logarithmic, Functions", "ka_url": "http://www.khanacademy.org/video/graphing-logarithmic-functions", "duration": 550, "translated_title": "Graphing logarithmic functions", "translated_description_html": " Graphing Logarithmic Functions", "id": "367721780", "description_html": " Graphing Logarithmic Functions", "title": "Graphing logarithmic functions", "progress_key": "v367721780", "edit_slug": "edit/v/367721780", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Graphing Logarithmic Functions", "extra_properties": null, "node_slug": "v/graphing-logarithmic-functions", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.mp4/DuYgVVU_BwY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.mp4/DuYgVVU_BwY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DuYgVVU_BwY.m3u8/DuYgVVU_BwY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DuYgVVU_BwY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v367721780", "sha": "8a38e790a7243500f7e4cb12b20936935305ad60", "translated_description": " Graphing Logarithmic Functions", "image_url": "https://img.youtube.com/vi/DuYgVVU_BwY/hqdefault.jpg", "youtube_id": "DuYgVVU_BwY", "content_kind": "Video", "readable_id": "graphing-logarithmic-functions"}, {"translated_youtube_id": "sBhEi4L91Sg", "relative_url": "/video/logarithmic-scale", "has_questions": false, "keywords": "log, scale, number, line", "ka_url": "http://www.khanacademy.org/video/logarithmic-scale", "duration": 675, "translated_title": "Logarithmic scale", "translated_description_html": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "id": "214235939", "description_html": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "title": "Logarithmic scale", "progress_key": "v214235939", "edit_slug": "edit/v/214235939", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "extra_properties": null, "node_slug": "v/logarithmic-scale", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-08-26T10:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.mp4/sBhEi4L91Sg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.mp4/sBhEi4L91Sg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sBhEi4L91Sg.m3u8/sBhEi4L91Sg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sBhEi4L91Sg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214235939", "sha": "8d8fd6d0360394307eb48547d6324b92fce482f6", "translated_description": "Understanding how logarithmic scale is different from linear scale and why it could be useful", "image_url": "https://img.youtube.com/vi/sBhEi4L91Sg/hqdefault.jpg", "youtube_id": "sBhEi4L91Sg", "content_kind": "Video", "readable_id": "logarithmic-scale"}, {"translated_youtube_id": "4xfOq00BzJA", "relative_url": "/video/vi-and-sal-explore-how-we-think-about-scale", "has_questions": false, "keywords": "logarithmic, scale, logarithm, vi, hart", "ka_url": "http://www.khanacademy.org/video/vi-and-sal-explore-how-we-think-about-scale", "duration": 416, "translated_title": "Vi and Sal explore how we think about scale", "translated_description_html": "Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly", "id": "214235936", "description_html": "Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly", "title": "Vi and Sal explore how we think about scale", "progress_key": "v214235936", "edit_slug": "edit/v/214235936", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly", "extra_properties": null, "node_slug": "v/vi-and-sal-explore-how-we-think-about-scale", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-26T10:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4xfOq00BzJA.mp4/4xfOq00BzJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4xfOq00BzJA.mp4/4xfOq00BzJA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4xfOq00BzJA.m3u8/4xfOq00BzJA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4xfOq00BzJA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214235936", "sha": "bd61afd734bdc363d9acb96e2554045f193b03cf", "translated_description": "Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly", "image_url": "https://img.youtube.com/vi/4xfOq00BzJA/hqdefault.jpg", "youtube_id": "4xfOq00BzJA", "content_kind": "Video", "readable_id": "vi-and-sal-explore-how-we-think-about-scale"}, {"translated_youtube_id": "6KmeGpjeLZ0", "relative_url": "/video/vi-and-sal-talk-about-the-mysteries-of-benford-s-law", "has_questions": false, "keywords": "benford, math, numbers", "ka_url": "http://www.khanacademy.org/video/vi-and-sal-talk-about-the-mysteries-of-benford-s-law", "duration": 485, "translated_title": "Vi and Sal talk about the mysteries of Benford's law", "translated_description_html": "Vi Hart visits Khan Academy and talks about Benford's Law with Sal", "id": "214235938", "description_html": "Vi Hart visits Khan Academy and talks about Benford's Law with Sal", "title": "Vi and Sal talk about the mysteries of Benford's law", "progress_key": "v214235938", "edit_slug": "edit/v/214235938", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vi Hart visits Khan Academy and talks about Benford's Law with Sal", "extra_properties": null, "node_slug": "v/vi-and-sal-talk-about-the-mysteries-of-benford-s-law", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-26T10:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6KmeGpjeLZ0.mp4/6KmeGpjeLZ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6KmeGpjeLZ0.mp4/6KmeGpjeLZ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6KmeGpjeLZ0.m3u8/6KmeGpjeLZ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6KmeGpjeLZ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214235938", "sha": "8ec2f633782149ff5a05e62493c70d0e56ae9da5", "translated_description": "Vi Hart visits Khan Academy and talks about Benford's Law with Sal", "image_url": "https://img.youtube.com/vi/6KmeGpjeLZ0/hqdefault.jpg", "youtube_id": "6KmeGpjeLZ0", "content_kind": "Video", "readable_id": "vi-and-sal-talk-about-the-mysteries-of-benford-s-law"}, {"translated_youtube_id": "SZUDoEdjTzg", "relative_url": "/video/benford-s-law-explanation--sequel-to-mysteries-of-benford-s-law", "has_questions": false, "keywords": "math, mysteries", "ka_url": "http://www.khanacademy.org/video/benford-s-law-explanation--sequel-to-mysteries-of-benford-s-law", "duration": 387, "translated_title": "Benford's law explanation (sequel to mysteries of Benford's law)", "translated_description_html": "Vi and Sal talk through the intuition of Benford's law (part 2)", "id": "214235937", "description_html": "Vi and Sal talk through the intuition of Benford's law (part 2)", "title": "Benford's law explanation (sequel to mysteries of Benford's law)", "progress_key": "v214235937", "edit_slug": "edit/v/214235937", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vi and Sal talk through the intuition of Benford's law (part 2)", "extra_properties": null, "node_slug": "v/benford-s-law-explanation--sequel-to-mysteries-of-benford-s-law", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-26T10:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SZUDoEdjTzg.mp4/SZUDoEdjTzg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SZUDoEdjTzg.mp4/SZUDoEdjTzg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SZUDoEdjTzg.m3u8/SZUDoEdjTzg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SZUDoEdjTzg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214235937", "sha": "b8abe6d63bac280cdc843570ee4f6f5f88a1e3f9", "translated_description": "Vi and Sal talk through the intuition of Benford's law (part 2)", "image_url": "https://img.youtube.com/vi/SZUDoEdjTzg/hqdefault.jpg", "youtube_id": "SZUDoEdjTzg", "content_kind": "Video", "readable_id": "benford-s-law-explanation--sequel-to-mysteries-of-benford-s-law"}, {"translated_youtube_id": "oqAYqT70EBQ", "relative_url": "/video/solving-logarithmic-equations_DUP_1", "has_questions": false, "keywords": "u18_l2_t1_we4, Solving, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/solving-logarithmic-equations_DUP_1", "duration": 208, "translated_title": "Solving logarithmic equations", "translated_description_html": " Solving Logarithmic Equations", "id": "367722962", "description_html": " Solving Logarithmic Equations", "title": "Solving logarithmic equations", "progress_key": "v367722962", "edit_slug": "edit/v/367722962", "author_names": ["Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Solving Logarithmic Equations", "extra_properties": null, "node_slug": "v/solving-logarithmic-equations_DUP_1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-09T11:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.m3u8/oqAYqT70EBQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqAYqT70EBQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v367722962", "sha": "e70f5d732653282e4bae5cb0eb4309a757885c1b", "translated_description": " Solving Logarithmic Equations", "image_url": "https://img.youtube.com/vi/oqAYqT70EBQ/hqdefault.jpg", "youtube_id": "oqAYqT70EBQ", "content_kind": "Video", "readable_id": "solving-logarithmic-equations_DUP_1"}, {"translated_youtube_id": "Kv2iHde7Xgw", "relative_url": "/video/solving-logarithmic-equations", "has_questions": false, "keywords": "u18_l4_t1_we2, Solving, Logarithmic, Equations", "ka_url": "http://www.khanacademy.org/video/solving-logarithmic-equations", "duration": 253, "translated_title": "Solving logarithmic equations", "translated_description_html": "Solving Logarithmic Equations", "id": "370262996", "description_html": "Solving Logarithmic Equations", "title": "Solving logarithmic equations", "progress_key": "v370262996", "edit_slug": "edit/v/370262996", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Solving Logarithmic Equations", "extra_properties": null, "node_slug": "v/solving-logarithmic-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-10T11:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.mp4/Kv2iHde7Xgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.mp4/Kv2iHde7Xgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kv2iHde7Xgw.m3u8/Kv2iHde7Xgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kv2iHde7Xgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370262996", "sha": "c56184b829c2e619d4b5c07eea7be944d879e410", "translated_description": "Solving Logarithmic Equations", "image_url": "https://img.youtube.com/vi/Kv2iHde7Xgw/hqdefault.jpg", "youtube_id": "Kv2iHde7Xgw", "content_kind": "Video", "readable_id": "solving-logarithmic-equations"}], "twitter_url": "", "translated_description": "This tutorial shows you what a logarithmic function is. It will then go on to show the many times in nature and science that these type of functions are useful to describe what is happening.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial shows you what a logarithmic function is. It will then go on to show the many times in nature and science that these type of functions are useful to describe what is happening.", "x_pos": 0.0, "node_slug": "log_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax43314421", "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/log_functions", "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/log_functions", "slug": "log_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7c58366191e4e0b73eee33992af80f592ec73162", "standalone_title": "Logarithmic functions", "y_pos": 0.0, "current_revision_key": "7c58366191e4e0b73eee33992af80f592ec73162", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/exponential_and_logarithmic_func/continuous_compounding", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func/continuous_compounding", "translated_standalone_title": "Continuous compounding and e", "translated_title": "Continuous compounding and e", "gplus_url": "", "id": "x825dc5bd", "old_key_name": "pMWQV_ijVWJaHXUo38xLqVh_yezbM0e7uNIJ3R6F", "hide": false, "title": "Continuous compounding and e", "child_data": [{"kind": "Video", "id": 24798}, {"kind": "Video", "id": 24800}, {"kind": "Video", "id": 24850}, {"kind": "Video", "id": 24852}, {"kind": "Video", "id": 24854}, {"kind": "Video", "id": 24856}], "children": [{"translated_youtube_id": "GtaoP0skPWc", "relative_url": "/video/introduction-to-interest", "has_questions": false, "keywords": "math, finance, interest, simple, compound, CC_7_RP_3, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-interest", "duration": 596, "translated_title": "Introduction to interest", "translated_description_html": "What interest is. Simple versus compound interest.", "id": "24798", "description_html": "What interest is. Simple versus compound interest.", "title": "Introduction to interest", "progress_key": "v24798", "edit_slug": "edit/v/24798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What interest is. Simple versus compound interest.", "extra_properties": null, "node_slug": "v/introduction-to-interest", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.m3u8/GtaoP0skPWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GtaoP0skPWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24798", "sha": "2e696d30937a0be75fc9d375bf12c33d1753650c", "translated_description": "What interest is. Simple versus compound interest.", "image_url": "https://img.youtube.com/vi/GtaoP0skPWc/hqdefault.jpg", "youtube_id": "GtaoP0skPWc", "content_kind": "Video", "readable_id": "introduction-to-interest"}, {"translated_youtube_id": "t4zfiBw0hwM", "relative_url": "/video/interest--part-2", "has_questions": false, "keywords": "simple, compound, interest, math, finance, money, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/interest--part-2", "duration": 481, "translated_title": "Interest (part 2)", "translated_description_html": "More on simple and compound interest", "id": "24800", "description_html": "More on simple and compound interest", "title": "Interest (part 2)", "progress_key": "v24800", "edit_slug": "edit/v/24800", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on simple and compound interest", "extra_properties": null, "node_slug": "v/interest--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.mp4/t4zfiBw0hwM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.mp4/t4zfiBw0hwM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.m3u8/t4zfiBw0hwM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t4zfiBw0hwM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24800", "sha": "80aaa8aae88c53d6b717707987a0ccb644790658", "translated_description": "More on simple and compound interest", "image_url": "https://img.youtube.com/vi/t4zfiBw0hwM/hqdefault.jpg", "youtube_id": "t4zfiBw0hwM", "content_kind": "Video", "readable_id": "interest--part-2"}, {"translated_youtube_id": "qEB6y4DklNY", "relative_url": "/video/introduction-to-compound-interest-and-e", "has_questions": false, "keywords": "compount, interest, limit, continuous, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-compound-interest-and-e", "duration": 611, "translated_title": "Introduction to compound interest and e", "translated_description_html": "Compounding interest multiple times a year.", "id": "24850", "description_html": "Compounding interest multiple times a year.", "title": "Introduction to compound interest and e", "progress_key": "v24850", "edit_slug": "edit/v/24850", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Compounding interest multiple times a year.", "extra_properties": null, "node_slug": "v/introduction-to-compound-interest-and-e", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qEB6y4DklNY.mp4/qEB6y4DklNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qEB6y4DklNY.mp4/qEB6y4DklNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qEB6y4DklNY.m3u8/qEB6y4DklNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qEB6y4DklNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24850", "sha": "10f4238ce44a7cef5c11dc09f78d569fae27e5f0", "translated_description": "Compounding interest multiple times a year.", "image_url": "https://img.youtube.com/vi/qEB6y4DklNY/hqdefault.jpg", "youtube_id": "qEB6y4DklNY", "content_kind": "Video", "readable_id": "introduction-to-compound-interest-and-e"}, {"translated_youtube_id": "dzMvqJMLy9c", "relative_url": "/video/compound-interest-and-e--part-2", "has_questions": false, "keywords": "Continuously, Compounding, interest, finance, math, limit", "ka_url": "http://www.khanacademy.org/video/compound-interest-and-e--part-2", "duration": 614, "translated_title": "Compound interest and e (part 2)", "translated_description_html": "Compounding 100% annual interest continuously over a year converges to e (2.71...)", "id": "24852", "description_html": "Compounding 100% annual interest continuously over a year converges to e (2.71...)", "title": "Compound interest and e (part 2)", "progress_key": "v24852", "edit_slug": "edit/v/24852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Compounding 100% annual interest continuously over a year converges to e (2.71...)", "extra_properties": null, "node_slug": "v/compound-interest-and-e--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dzMvqJMLy9c.mp4/dzMvqJMLy9c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dzMvqJMLy9c.mp4/dzMvqJMLy9c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dzMvqJMLy9c.m3u8/dzMvqJMLy9c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dzMvqJMLy9c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24852", "sha": "92b1ab1a00d2de099f03cfab050e4361745f2bb3", "translated_description": "Compounding 100% annual interest continuously over a year converges to e (2.71...)", "image_url": "https://img.youtube.com/vi/dzMvqJMLy9c/hqdefault.jpg", "youtube_id": "dzMvqJMLy9c", "content_kind": "Video", "readable_id": "compound-interest-and-e--part-2"}, {"translated_youtube_id": "sQYpUJV8foY", "relative_url": "/video/compound-interest-and-e--part--3", "has_questions": false, "keywords": "continuous, compounding, interest, math, finance", "ka_url": "http://www.khanacademy.org/video/compound-interest-and-e--part--3", "duration": 604, "translated_title": "Compound interest and e (part 3)", "translated_description_html": "Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r", "id": "24854", "description_html": "Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r", "title": "Compound interest and e (part 3)", "progress_key": "v24854", "edit_slug": "edit/v/24854", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r", "extra_properties": null, "node_slug": "v/compound-interest-and-e--part--3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sQYpUJV8foY.mp4/sQYpUJV8foY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sQYpUJV8foY.mp4/sQYpUJV8foY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sQYpUJV8foY.m3u8/sQYpUJV8foY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sQYpUJV8foY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24854", "sha": "8febf17b59d087a2f8216a1d2b2e6ebb73b35412", "translated_description": "Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r", "image_url": "https://img.youtube.com/vi/sQYpUJV8foY/hqdefault.jpg", "youtube_id": "sQYpUJV8foY", "content_kind": "Video", "readable_id": "compound-interest-and-e--part--3"}, {"translated_youtube_id": "VAxHMTJRhmY", "relative_url": "/video/compound-interest-and-e--part-4", "has_questions": false, "keywords": "finance, math, compound, interest, continuous", "ka_url": "http://www.khanacademy.org/video/compound-interest-and-e--part-4", "duration": 484, "translated_title": "Compound interest and e (part 4)", "translated_description_html": "Continuously compounding for multiple years.", "id": "24856", "description_html": "Continuously compounding for multiple years.", "title": "Compound interest and e (part 4)", "progress_key": "v24856", "edit_slug": "edit/v/24856", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuously compounding for multiple years.", "extra_properties": null, "node_slug": "v/compound-interest-and-e--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VAxHMTJRhmY.mp4/VAxHMTJRhmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VAxHMTJRhmY.mp4/VAxHMTJRhmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VAxHMTJRhmY.m3u8/VAxHMTJRhmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VAxHMTJRhmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24856", "sha": "28c4b4d6c189fc6f7f6e64fc0712675c43bc329c", "translated_description": "Continuously compounding for multiple years.", "image_url": "https://img.youtube.com/vi/VAxHMTJRhmY/hqdefault.jpg", "youtube_id": "VAxHMTJRhmY", "content_kind": "Video", "readable_id": "compound-interest-and-e--part-4"}], "twitter_url": "", "translated_description": "This tutorial introduces us to one of the derivations (from finance and continuously compounding interest) of the irrational number 'e' which is roughly 2.71...", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial introduces us to one of the derivations (from finance and continuously compounding interest) of the irrational number 'e' which is roughly 2.71...", "x_pos": 0.0, "node_slug": "continuous_compounding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax825dc5bd", "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/continuous_compounding", "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/continuous_compounding", "slug": "continuous_compounding", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "074021921e3f4215cbae5429941e6ae7586b41b3", "standalone_title": "Continuous compounding and e", "y_pos": 0.0, "current_revision_key": "074021921e3f4215cbae5429941e6ae7586b41b3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "An look at exponential and logarithmic functions including many of their properties and graphs.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "An look at exponential and logarithmic functions including many of their properties and graphs.", "x_pos": 0.0, "node_slug": "exponential_and_logarithmic_func", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax872c276b", "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func", "extended_slug": "math/trigonometry/exponential_and_logarithmic_func", "slug": "exponential_and_logarithmic_func", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4219057910d466885b5c9d2aefd676def5c169e4", "standalone_title": "Exponential and logarithmic functions", "y_pos": 0.0, "current_revision_key": "4219057910d466885b5c9d2aefd676def5c169e4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry", "translated_standalone_title": "Basic trigonometry", "translated_title": "Basic trigonometry", "gplus_url": "", "id": "x74f9f730", "old_key_name": "wis13EsT4u0aOUkKUPVvMoUW1ILCoo-U0e3qRWgh", "hide": false, "title": "Basic trigonometry", "child_data": [{"kind": "Topic", "id": "x9b31b14e"}, {"kind": "Topic", "id": "xefbcec56"}, {"kind": "Topic", "id": "xadac5733"}, {"kind": "Topic", "id": "x31183e90"}, {"kind": "Topic", "id": "x674152d1"}, {"kind": "Topic", "id": "x215566f4"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/basic_trig_ratios", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios", "translated_standalone_title": "Basic trigonometric ratios", "translated_title": "Basic trigonometric ratios", "gplus_url": "", "id": "x9b31b14e", "old_key_name": "hZKgC6DFNmfacU6uPV6Dx-MqhpDyZx5QElHBI8IO", "hide": false, "title": "Basic trigonometric ratios", "child_data": [{"kind": "Video", "id": 19647490}, {"kind": "Video", "id": 1153704166}, {"kind": "Exercise", "id": 592471461}, {"kind": "Video", "id": 19647491}, {"kind": "Exercise", "id": 3036}, {"kind": "Video", "id": 1153576581}, {"kind": "Video", "id": 1153530471}, {"kind": "Exercise", "id": 986692734}, {"kind": "Exercise", "id": 592442008}, {"kind": "Video", "id": 1153632281}, {"kind": "Video", "id": 1153614407}, {"kind": "Exercise", "id": 2032}, {"kind": "Video", "id": 1153457877}, {"kind": "Exercise", "id": 3034}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 26222}, {"kind": "Video", "id": 26224}], "children": [{"translated_youtube_id": "Jsiy4TxgIME", "relative_url": "/video/basic-trigonometry", "has_questions": false, "keywords": "trig, sin, cos, tan, sine, cosine, tangent, CC_8_G_7", "ka_url": "http://www.khanacademy.org/video/basic-trigonometry", "duration": 557, "translated_title": "Basic trigonometry", "translated_description_html": "

Introduction to trigonometry<\/p>\n", "id": "19647490", "description_html": "

Introduction to trigonometry<\/p>\n", "title": "Basic trigonometry", "progress_key": "v19647490", "edit_slug": "edit/v/19647490", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction to trigonometry\n", "extra_properties": {"original_url": ""}, "node_slug": "v/basic-trigonometry", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jsiy4TxgIME.mp4/Jsiy4TxgIME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jsiy4TxgIME.mp4/Jsiy4TxgIME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jsiy4TxgIME.m3u8/Jsiy4TxgIME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jsiy4TxgIME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v19647490", "sha": "03f77cc750799a1ed2b2c34c3203be40583860a3", "translated_description": "Introduction to trigonometry\n", "image_url": "https://img.youtube.com/vi/Jsiy4TxgIME/hqdefault.jpg", "youtube_id": "Jsiy4TxgIME", "content_kind": "Video", "readable_id": "basic-trigonometry"}, {"translated_youtube_id": "I3jyBUyjg48", "relative_url": "/video/example--using-soh-cah-toa", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/example--using-soh-cah-toa", "duration": 245, "translated_title": "Example: Using soh cah toa", "translated_description_html": "Worked example evaluating sine and cosine using soh cah toa definition.", "id": "1153704166", "description_html": "Worked example evaluating sine and cosine using soh cah toa definition.", "title": "Example: Using soh cah toa", "progress_key": "v1153704166", "edit_slug": "edit/v/1153704166", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example evaluating sine and cosine using soh cah toa definition.", "extra_properties": null, "node_slug": "v/example--using-soh-cah-toa", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-16T22:55:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I3jyBUyjg48.mp4/I3jyBUyjg48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I3jyBUyjg48.mp4/I3jyBUyjg48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I3jyBUyjg48.m3u8/I3jyBUyjg48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I3jyBUyjg48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153704166", "sha": "b499fb94b54e1953347cb7135476979f557ef85c", "translated_description": "Worked example evaluating sine and cosine using soh cah toa definition.", "image_url": "https://img.youtube.com/vi/I3jyBUyjg48/hqdefault.jpg", "youtube_id": "I3jyBUyjg48", "content_kind": "Video", "readable_id": "example--using-soh-cah-toa"}, {"translated_youtube_id": "G-T_6hCdMQc", "relative_url": "/video/basic-trigonometry-ii", "has_questions": false, "keywords": "trig, sin, cos, tan", "ka_url": "http://www.khanacademy.org/video/basic-trigonometry-ii", "duration": 731, "translated_title": "Basic trigonometry II", "translated_description_html": "

A few more examples using SOH CAH TOA<\/p>\n", "id": "19647491", "description_html": "

A few more examples using SOH CAH TOA<\/p>\n", "title": "Basic trigonometry II", "progress_key": "v19647491", "edit_slug": "edit/v/19647491", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A few more examples using SOH CAH TOA\n", "extra_properties": {"original_url": ""}, "node_slug": "v/basic-trigonometry-ii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G-T_6hCdMQc.mp4/G-T_6hCdMQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G-T_6hCdMQc.mp4/G-T_6hCdMQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G-T_6hCdMQc.m3u8/G-T_6hCdMQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G-T_6hCdMQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v19647491", "sha": "ea950ac70bf4ade4f05348bc58419442ed89f045", "translated_description": "A few more examples using SOH CAH TOA\n", "image_url": "https://img.youtube.com/vi/G-T_6hCdMQc/hqdefault.jpg", "youtube_id": "G-T_6hCdMQc", "content_kind": "Video", "readable_id": "basic-trigonometry-ii"}, {"translated_youtube_id": "Q7htxHDN8LE", "relative_url": "/video/example--the-six-trig-ratios", "has_questions": false, "keywords": "trigonometry sine cosine secant cosecant sec csc cotangent cot", "ka_url": "http://www.khanacademy.org/video/example--the-six-trig-ratios", "duration": 285, "translated_title": "Secant (sec), cosecant (csc) and cotangent (cot) example", "translated_description_html": "

Worked example where we walk through finding the major trig ratios<\/p>\n", "id": "1153576581", "description_html": "

Worked example where we walk through finding the major trig ratios<\/p>\n", "title": "Secant (sec), cosecant (csc) and cotangent (cot) example", "progress_key": "v1153576581", "edit_slug": "edit/v/1153576581", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example where we walk through finding the major trig ratios\n", "extra_properties": {"original_url": ""}, "node_slug": "v/example--the-six-trig-ratios", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-11-16T22:31:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q7htxHDN8LE.mp4/Q7htxHDN8LE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q7htxHDN8LE.mp4/Q7htxHDN8LE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q7htxHDN8LE.m3u8/Q7htxHDN8LE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q7htxHDN8LE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153576581", "sha": "2394e48aaa2d2cdedbd774efa99ebd012b1ef75a", "translated_description": "Worked example where we walk through finding the major trig ratios\n", "image_url": "https://img.youtube.com/vi/Q7htxHDN8LE/hqdefault.jpg", "youtube_id": "Q7htxHDN8LE", "content_kind": "Video", "readable_id": "example--the-six-trig-ratios"}, {"translated_youtube_id": "rufFQZDDXCE", "relative_url": "/video/example--using-trig-to-solve-for-missing-information", "has_questions": false, "keywords": "sin cos tan sine cosine tangent csc cot sec secant cosecant cotangent", "ka_url": "http://www.khanacademy.org/video/example--using-trig-to-solve-for-missing-information", "duration": 372, "translated_title": "Example: Using trig to solve for missing information", "translated_description_html": "Worked example using trig ratios to solve for missing information and evaluate other trig ratios", "id": "1153530471", "description_html": "Worked example using trig ratios to solve for missing information and evaluate other trig ratios", "title": "Example: Using trig to solve for missing information", "progress_key": "v1153530471", "edit_slug": "edit/v/1153530471", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example using trig ratios to solve for missing information and evaluate other trig ratios", "extra_properties": null, "node_slug": "v/example--using-trig-to-solve-for-missing-information", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-16T22:50:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rufFQZDDXCE.mp4/rufFQZDDXCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rufFQZDDXCE.mp4/rufFQZDDXCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rufFQZDDXCE.m3u8/rufFQZDDXCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rufFQZDDXCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153530471", "sha": "7f8fb6dde63286f31296882d53133fa2ab316b84", "translated_description": "Worked example using trig ratios to solve for missing information and evaluate other trig ratios", "image_url": "https://img.youtube.com/vi/rufFQZDDXCE/hqdefault.jpg", "youtube_id": "rufFQZDDXCE", "content_kind": "Video", "readable_id": "example--using-trig-to-solve-for-missing-information"}, {"translated_youtube_id": "fIeHfVQhx-c", "relative_url": "/video/example--calculator-to-evaluate-a-trig-function", "has_questions": false, "keywords": "sin calculator csc sine cosecant", "ka_url": "http://www.khanacademy.org/video/example--calculator-to-evaluate-a-trig-function", "duration": 187, "translated_title": "Example: Calculator to evaluate a trig function", "translated_description_html": "Worked example showing how to use typical calculators to evaluate trigonometric functions", "id": "1153632281", "description_html": "Worked example showing how to use typical calculators to evaluate trigonometric functions", "title": "Example: Calculator to evaluate a trig function", "progress_key": "v1153632281", "edit_slug": "edit/v/1153632281", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example showing how to use typical calculators to evaluate trigonometric functions", "extra_properties": null, "node_slug": "v/example--calculator-to-evaluate-a-trig-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-11-16T22:53:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fIeHfVQhx-c.mp4/fIeHfVQhx-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fIeHfVQhx-c.mp4/fIeHfVQhx-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fIeHfVQhx-c.m3u8/fIeHfVQhx-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fIeHfVQhx-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153632281", "sha": "e5d75f0c5fa4704cb35100851097e4308c893e20", "translated_description": "Worked example showing how to use typical calculators to evaluate trigonometric functions", "image_url": "https://img.youtube.com/vi/fIeHfVQhx-c/hqdefault.jpg", "youtube_id": "fIeHfVQhx-c", "content_kind": "Video", "readable_id": "example--calculator-to-evaluate-a-trig-function"}, {"translated_youtube_id": "l5VbdqRjTXc", "relative_url": "/video/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle", "has_questions": false, "keywords": "trigonometry sine cosine sin cos tan", "ka_url": "http://www.khanacademy.org/video/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle", "duration": 424, "translated_title": "Example: Trig to solve the sides and angles of a right triangle", "translated_description_html": "Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.", "id": "1153614407", "description_html": "Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.", "title": "Example: Trig to solve the sides and angles of a right triangle", "progress_key": "v1153614407", "edit_slug": "edit/v/1153614407", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.", "extra_properties": null, "node_slug": "v/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-16T22:59:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5VbdqRjTXc.mp4/l5VbdqRjTXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5VbdqRjTXc.mp4/l5VbdqRjTXc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l5VbdqRjTXc.m3u8/l5VbdqRjTXc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l5VbdqRjTXc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153614407", "sha": "05729edf4a661ca24faeddc0c91217eb8f5b09ac", "translated_description": "Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.", "image_url": "https://img.youtube.com/vi/l5VbdqRjTXc/hqdefault.jpg", "youtube_id": "l5VbdqRjTXc", "content_kind": "Video", "readable_id": "example--trig-to-solve-the-sides-and-angles-of-a-right-triangle"}, {"translated_youtube_id": "XixMVHl8taQ", "relative_url": "/video/30-60-90-triangles-and-trig", "has_questions": false, "keywords": "30-60-90, triangle, trig", "ka_url": "http://www.khanacademy.org/video/30-60-90-triangles-and-trig", "duration": 460, "translated_title": "Example: Solving a 30-60-90 triangle", "translated_description_html": "This worked example can be done without trigonometry, but we do show how knowledge of 30-60-90 triangles can be helpful when evaluating trig functions", "id": "1153457877", "description_html": "This worked example can be done without trigonometry, but we do show how knowledge of 30-60-90 triangles can be helpful when evaluating trig functions", "title": "Example: Solving a 30-60-90 triangle", "progress_key": "v1153457877", "edit_slug": "edit/v/1153457877", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This worked example can be done without trigonometry, but we do show how knowledge of 30-60-90 triangles can be helpful when evaluating trig functions", "extra_properties": null, "node_slug": "v/30-60-90-triangles-and-trig", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-17T00:03:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XixMVHl8taQ.mp4/XixMVHl8taQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XixMVHl8taQ.mp4/XixMVHl8taQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XixMVHl8taQ.m3u8/XixMVHl8taQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XixMVHl8taQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153457877", "sha": "6f1f8a7f151f8efe27057a8d455309c819a73595", "translated_description": "This worked example can be done without trigonometry, but we do show how knowledge of 30-60-90 triangles can be helpful when evaluating trig functions", "image_url": "https://img.youtube.com/vi/XixMVHl8taQ/hqdefault.jpg", "youtube_id": "XixMVHl8taQ", "content_kind": "Video", "readable_id": "30-60-90-triangles-and-trig"}, {"translated_youtube_id": "znR9tW4AiZI", "relative_url": "/video/using-trig-functions", "has_questions": false, "keywords": "Trigonometry, Trig, math, khan", "ka_url": "http://www.khanacademy.org/video/using-trig-functions", "duration": 602, "translated_title": "Using trig functions", "translated_description_html": "Using Trigonometric functions to solve the sides of a right triangle", "id": "26222", "description_html": "Using Trigonometric functions to solve the sides of a right triangle", "title": "Using trig functions", "progress_key": "v26222", "edit_slug": "edit/v/26222", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using Trigonometric functions to solve the sides of a right triangle", "extra_properties": null, "node_slug": "v/using-trig-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znR9tW4AiZI.mp4/znR9tW4AiZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znR9tW4AiZI.mp4/znR9tW4AiZI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znR9tW4AiZI.m3u8/znR9tW4AiZI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znR9tW4AiZI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26222", "sha": "d2607ba0cb8524978f22150333814014f2a7b85b", "translated_description": "Using Trigonometric functions to solve the sides of a right triangle", "image_url": "https://img.youtube.com/vi/znR9tW4AiZI/hqdefault.jpg", "youtube_id": "znR9tW4AiZI", "content_kind": "Video", "readable_id": "using-trig-functions"}, {"translated_youtube_id": "RoXmKYjpLGk", "relative_url": "/video/using-trig-functions-part-ii", "has_questions": false, "keywords": "Trig, Trigonometry, sin, cos, tan, khan", "ka_url": "http://www.khanacademy.org/video/using-trig-functions-part-ii", "duration": 517, "translated_title": "Using trig functions part II", "translated_description_html": "A couple of more examples of using Trig functions to solve the sides of a triangle.", "id": "26224", "description_html": "A couple of more examples of using Trig functions to solve the sides of a triangle.", "title": "Using trig functions part II", "progress_key": "v26224", "edit_slug": "edit/v/26224", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A couple of more examples of using Trig functions to solve the sides of a triangle.", "extra_properties": null, "node_slug": "v/using-trig-functions-part-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RoXmKYjpLGk.mp4/RoXmKYjpLGk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RoXmKYjpLGk.mp4/RoXmKYjpLGk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RoXmKYjpLGk.m3u8/RoXmKYjpLGk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RoXmKYjpLGk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26224", "sha": "15511dc276fb7130a79abc1f9ee84d7fc843b08c", "translated_description": "A couple of more examples of using Trig functions to solve the sides of a triangle.", "image_url": "https://img.youtube.com/vi/RoXmKYjpLGk/hqdefault.jpg", "youtube_id": "RoXmKYjpLGk", "content_kind": "Video", "readable_id": "using-trig-functions-part-ii"}], "twitter_url": "", "translated_description": "In this tutorial, you will learn all the trigonometry that you are likely to remember in ten years (assuming you are a lazy non-curious, non-lifelong learner). But even in that non-ideal world where you forgot everything else, you'll be able to do more than you might expect with the concentrated knowledge you are about to get.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, you will learn all the trigonometry that you are likely to remember in ten years (assuming you are a lazy non-curious, non-lifelong learner). But even in that non-ideal world where you forgot everything else, you'll be able to do more than you might expect with the concentrated knowledge you are about to get.", "x_pos": 0.0, "node_slug": "basic_trig_ratios", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9b31b14e", "topic_page_url": "/math/trigonometry/basic-trigonometry/basic_trig_ratios", "extended_slug": "math/trigonometry/basic-trigonometry/basic_trig_ratios", "slug": "basic_trig_ratios", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "412b76ad93e0be36fd492639f22c2ff6da937895", "standalone_title": "Basic trigonometric ratios", "y_pos": 0.0, "current_revision_key": "412b76ad93e0be36fd492639f22c2ff6da937895", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/radians_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial", "translated_standalone_title": "Radians", "translated_title": "Radians", "gplus_url": "", "id": "xefbcec56", "old_key_name": "wxRhDQEXvbwvwYHMK6aWqu-M6SBLxxSZiJ4y5sVD", "hide": false, "title": "Radians", "child_data": [{"kind": "Video", "id": 1159577071}, {"kind": "Video", "id": 1159451550}, {"kind": "Video", "id": 1153821127}, {"kind": "Video", "id": 1153849058}, {"kind": "Exercise", "id": 47770341}, {"kind": "Video", "id": 1153727649}, {"kind": "Exercise", "id": 47784257}, {"kind": "Video", "id": 26220}], "children": [{"translated_youtube_id": "EnwWxMZVBeg", "relative_url": "/video/introduction-to-radians", "has_questions": false, "keywords": "radians, degrees", "ka_url": "http://www.khanacademy.org/video/introduction-to-radians", "duration": 651, "translated_title": "Introduction to radians", "translated_description_html": "Understanding the definition and motivation for radians and the relationship between radians and degrees", "id": "1159577071", "description_html": "Understanding the definition and motivation for radians and the relationship between radians and degrees", "title": "Introduction to radians", "progress_key": "v1159577071", "edit_slug": "edit/v/1159577071", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the definition and motivation for radians and the relationship between radians and degrees", "extra_properties": null, "node_slug": "v/introduction-to-radians", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T17:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EnwWxMZVBeg.mp4/EnwWxMZVBeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EnwWxMZVBeg.mp4/EnwWxMZVBeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EnwWxMZVBeg.m3u8/EnwWxMZVBeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EnwWxMZVBeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159577071", "sha": "1870022de26db3ef175a06b0d1cb5cb857d2fa98", "translated_description": "Understanding the definition and motivation for radians and the relationship between radians and degrees", "image_url": "https://img.youtube.com/vi/EnwWxMZVBeg/hqdefault.jpg", "youtube_id": "EnwWxMZVBeg", "content_kind": "Video", "readable_id": "introduction-to-radians"}, {"translated_youtube_id": "z8vj8tUCkxY", "relative_url": "/video/radian-and-degree-conversion-practice", "has_questions": false, "keywords": "radian, degree, conversion", "ka_url": "http://www.khanacademy.org/video/radian-and-degree-conversion-practice", "duration": 432, "translated_title": "Radian and degree conversion practice", "translated_description_html": "A little practice converting between radians and degrees and vice versa", "id": "1159451550", "description_html": "A little practice converting between radians and degrees and vice versa", "title": "Radian and degree conversion practice", "progress_key": "v1159451550", "edit_slug": "edit/v/1159451550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little practice converting between radians and degrees and vice versa", "extra_properties": null, "node_slug": "v/radian-and-degree-conversion-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-19T17:54:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z8vj8tUCkxY.mp4/z8vj8tUCkxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z8vj8tUCkxY.mp4/z8vj8tUCkxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z8vj8tUCkxY.m3u8/z8vj8tUCkxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z8vj8tUCkxY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159451550", "sha": "d3d109372997ce3cb57c32a2d18866337900b83a", "translated_description": "A little practice converting between radians and degrees and vice versa", "image_url": "https://img.youtube.com/vi/z8vj8tUCkxY/hqdefault.jpg", "youtube_id": "z8vj8tUCkxY", "content_kind": "Video", "readable_id": "radian-and-degree-conversion-practice"}, {"translated_youtube_id": "axGgnXyuiTg", "relative_url": "/video/radian-measure-and-arc-length", "has_questions": false, "keywords": "arc, radian, radius, length", "ka_url": "http://www.khanacademy.org/video/radian-measure-and-arc-length", "duration": 210, "translated_title": "Example: Radian measure and arc length", "translated_description_html": "Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.", "id": "1153821127", "description_html": "Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.", "title": "Example: Radian measure and arc length", "progress_key": "v1153821127", "edit_slug": "edit/v/1153821127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.", "extra_properties": null, "node_slug": "v/radian-measure-and-arc-length", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-11-17T00:16:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/axGgnXyuiTg.mp4/axGgnXyuiTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/axGgnXyuiTg.mp4/axGgnXyuiTg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/axGgnXyuiTg.m3u8/axGgnXyuiTg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=axGgnXyuiTg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153821127", "sha": "0cf304e828fd003197bd29a31fc0eec25a99ac6a", "translated_description": "Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.", "image_url": "https://img.youtube.com/vi/axGgnXyuiTg/hqdefault.jpg", "youtube_id": "axGgnXyuiTg", "content_kind": "Video", "readable_id": "radian-measure-and-arc-length"}, {"translated_youtube_id": "O3jvUZ8wvZs", "relative_url": "/video/we-converting-degrees-to-radians", "has_questions": false, "keywords": "radians, degrees", "ka_url": "http://www.khanacademy.org/video/we-converting-degrees-to-radians", "duration": 422, "translated_title": "Example: Converting degrees to radians", "translated_description_html": "Worked example to help understand how we covert radians to degrees", "id": "1153849058", "description_html": "Worked example to help understand how we covert radians to degrees", "title": "Example: Converting degrees to radians", "progress_key": "v1153849058", "edit_slug": "edit/v/1153849058", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example to help understand how we covert radians to degrees", "extra_properties": null, "node_slug": "v/we-converting-degrees-to-radians", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:18:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O3jvUZ8wvZs.mp4/O3jvUZ8wvZs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O3jvUZ8wvZs.mp4/O3jvUZ8wvZs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O3jvUZ8wvZs.m3u8/O3jvUZ8wvZs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O3jvUZ8wvZs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153849058", "sha": "841a4138adea89c636e6f78abd86aed14d30f601", "translated_description": "Worked example to help understand how we covert radians to degrees", "image_url": "https://img.youtube.com/vi/O3jvUZ8wvZs/hqdefault.jpg", "youtube_id": "O3jvUZ8wvZs", "content_kind": "Video", "readable_id": "we-converting-degrees-to-radians"}, {"translated_youtube_id": "z0-1gBy1ykE", "relative_url": "/video/we-converting-radians-to-degrees", "has_questions": false, "keywords": "radians, degrees", "ka_url": "http://www.khanacademy.org/video/we-converting-radians-to-degrees", "duration": 200, "translated_title": "Example: Converting radians to degrees", "translated_description_html": "Worked example showing how to convert radians to degrees", "id": "1153727649", "description_html": "Worked example showing how to convert radians to degrees", "title": "Example: Converting radians to degrees", "progress_key": "v1153727649", "edit_slug": "edit/v/1153727649", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example showing how to convert radians to degrees", "extra_properties": null, "node_slug": "v/we-converting-radians-to-degrees", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:19:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z0-1gBy1ykE.mp4/z0-1gBy1ykE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z0-1gBy1ykE.mp4/z0-1gBy1ykE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z0-1gBy1ykE.m3u8/z0-1gBy1ykE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z0-1gBy1ykE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153727649", "sha": "d8ac31d228b8bf8c269fc5c1dd33d2757433d6fa", "translated_description": "Worked example showing how to convert radians to degrees", "image_url": "https://img.youtube.com/vi/z0-1gBy1ykE/hqdefault.jpg", "youtube_id": "z0-1gBy1ykE", "content_kind": "Video", "readable_id": "we-converting-radians-to-degrees"}, {"translated_youtube_id": "9zspW8u6kQM", "relative_url": "/video/radians-and-degrees", "has_questions": false, "keywords": "Trigonometry, radian, degree, math, khan", "ka_url": "http://www.khanacademy.org/video/radians-and-degrees", "duration": 595, "translated_title": "Radians and degrees", "translated_description_html": "What a radian is. Converting radians to degrees and vice versa.", "id": "26220", "description_html": "What a radian is. Converting radians to degrees and vice versa.", "title": "Radians and degrees", "progress_key": "v26220", "edit_slug": "edit/v/26220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What a radian is. Converting radians to degrees and vice versa.", "extra_properties": null, "node_slug": "v/radians-and-degrees", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9zspW8u6kQM.mp4/9zspW8u6kQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9zspW8u6kQM.mp4/9zspW8u6kQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9zspW8u6kQM.m3u8/9zspW8u6kQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9zspW8u6kQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26220", "sha": "43627a6bf84c97c8bac5c26e207878381e85ad63", "translated_description": "What a radian is. Converting radians to degrees and vice versa.", "image_url": "https://img.youtube.com/vi/9zspW8u6kQM/hqdefault.jpg", "youtube_id": "9zspW8u6kQM", "content_kind": "Video", "readable_id": "radians-and-degrees"}], "twitter_url": "", "translated_description": "Most people know that you can measure angles with degrees, but only exceptionally worldly people know that radians can be an exciting alternative. As you'll see, degrees are somewhat arbitrary (if we lived on a planet that took 600 days to orbit its star, we'd probably have 600 degrees in a full revolution). Radians are pure. Seriously, they are measuring the angle in terms of how long the arc that subtends them is (measured in radiuseseses). If that makes no sense, imagine measuring a bridge with car lengths. If that still doesn't make sense, watch this tutorial!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most people know that you can measure angles with degrees, but only exceptionally worldly people know that radians can be an exciting alternative. As you'll see, degrees are somewhat arbitrary (if we lived on a planet that took 600 days to orbit its star, we'd probably have 600 degrees in a full revolution). Radians are pure. Seriously, they are measuring the angle in terms of how long the arc that subtends them is (measured in radiuseseses). If that makes no sense, imagine measuring a bridge with car lengths. If that still doesn't make sense, watch this tutorial!", "x_pos": 0.0, "node_slug": "radians_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axefbcec56", "topic_page_url": "/math/trigonometry/basic-trigonometry/radians_tutorial", "extended_slug": "math/trigonometry/basic-trigonometry/radians_tutorial", "slug": "radians_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c7aa2b1714ade0164c26563ac1c841450df3162a", "standalone_title": "Radians", "y_pos": 0.0, "current_revision_key": "c7aa2b1714ade0164c26563ac1c841450df3162a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/unit_circle_tut", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut", "translated_standalone_title": "Unit circle", "translated_title": "Unit circle definition of trigonometric functions", "gplus_url": "", "id": "xadac5733", "old_key_name": "QBH_GmvA6_SAT-OonT3ZFQ8ufVYaJeQS8o2Be5d2", "hide": false, "title": "Unit circle definition of trigonometric functions", "child_data": [{"kind": "Video", "id": 1159990979}, {"kind": "Video", "id": 1153690520}, {"kind": "Video", "id": 1153737409}, {"kind": "Video", "id": 1153645878}, {"kind": "Video", "id": 1153674718}, {"kind": "Video", "id": 1254698328}, {"kind": "Exercise", "id": 274063565}], "children": [{"translated_youtube_id": "1m9p9iubMLU", "relative_url": "/video/unit-circle-definition-of-trig-functions-1", "has_questions": false, "keywords": "unit circle, trig, sin, cos, tan", "ka_url": "http://www.khanacademy.org/video/unit-circle-definition-of-trig-functions-1", "duration": 544, "translated_title": "Unit circle definition of trig functions", "translated_description_html": "Extending SOH CAH TOA so that we can define trig functions for a broader class of angles", "id": "1159990979", "description_html": "Extending SOH CAH TOA so that we can define trig functions for a broader class of angles", "title": "Unit circle definition of trig functions", "progress_key": "v1159990979", "edit_slug": "edit/v/1159990979", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Extending SOH CAH TOA so that we can define trig functions for a broader class of angles", "extra_properties": null, "node_slug": "v/unit-circle-definition-of-trig-functions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T21:56:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1m9p9iubMLU.mp4/1m9p9iubMLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1m9p9iubMLU.mp4/1m9p9iubMLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1m9p9iubMLU.m3u8/1m9p9iubMLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1m9p9iubMLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159990979", "sha": "1bbf99347a96a329800b0196ff49cdd122d53d8e", "translated_description": "Extending SOH CAH TOA so that we can define trig functions for a broader class of angles", "image_url": "https://img.youtube.com/vi/1m9p9iubMLU/hqdefault.jpg", "youtube_id": "1m9p9iubMLU", "content_kind": "Video", "readable_id": "unit-circle-definition-of-trig-functions-1"}, {"translated_youtube_id": "C0UNN5_re9o", "relative_url": "/video/we-unit-circle-definition-to-calculate-sin-and-cos-of-multiple-angles", "has_questions": false, "keywords": "unit circle, cos, sine", "ka_url": "http://www.khanacademy.org/video/we-unit-circle-definition-to-calculate-sin-and-cos-of-multiple-angles", "duration": 927, "translated_title": "Example: Unit circle definition of sin and cos", "translated_description_html": "Unit circle definition to calculate sin and cos of multiple angles", "id": "1153690520", "description_html": "Unit circle definition to calculate sin and cos of multiple angles", "title": "Example: Unit circle definition of sin and cos", "progress_key": "v1153690520", "edit_slug": "edit/v/1153690520", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unit circle definition to calculate sin and cos of multiple angles", "extra_properties": null, "node_slug": "v/we-unit-circle-definition-to-calculate-sin-and-cos-of-multiple-angles", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:21:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C0UNN5_re9o.mp4/C0UNN5_re9o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C0UNN5_re9o.mp4/C0UNN5_re9o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C0UNN5_re9o.m3u8/C0UNN5_re9o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C0UNN5_re9o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153690520", "sha": "08c9b8061c9fe281e88e945d9dc627957935eb99", "translated_description": "Unit circle definition to calculate sin and cos of multiple angles", "image_url": "https://img.youtube.com/vi/C0UNN5_re9o/hqdefault.jpg", "youtube_id": "C0UNN5_re9o", "content_kind": "Video", "readable_id": "we-unit-circle-definition-to-calculate-sin-and-cos-of-multiple-angles"}, {"translated_youtube_id": "v3kKCoIhyDM", "relative_url": "/video/example-unit-circ-def", "has_questions": false, "keywords": "sine, cosine, tangent", "ka_url": "http://www.khanacademy.org/video/example-unit-circ-def", "duration": 534, "translated_title": "Example: Using the unit circle definition of trig functions", "translated_description_html": "Worked example using our knowledge of 30-60-90 triangles and similarity to evaluate tan, cos and sin.", "id": "1153737409", "description_html": "Worked example using our knowledge of 30-60-90 triangles and similarity to evaluate tan, cos and sin.", "title": "Example: Using the unit circle definition of trig functions", "progress_key": "v1153737409", "edit_slug": "edit/v/1153737409", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example using our knowledge of 30-60-90 triangles and similarity to evaluate tan, cos and sin.", "extra_properties": null, "node_slug": "v/example-unit-circ-def", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-17T00:08:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v3kKCoIhyDM.mp4/v3kKCoIhyDM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v3kKCoIhyDM.mp4/v3kKCoIhyDM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v3kKCoIhyDM.m3u8/v3kKCoIhyDM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v3kKCoIhyDM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153737409", "sha": "a4cc6cc65958063937621492198a42d5efb79d3f", "translated_description": "Worked example using our knowledge of 30-60-90 triangles and similarity to evaluate tan, cos and sin.", "image_url": "https://img.youtube.com/vi/v3kKCoIhyDM/hqdefault.jpg", "youtube_id": "v3kKCoIhyDM", "content_kind": "Video", "readable_id": "example-unit-circ-def"}, {"translated_youtube_id": "QLOssxcOXWo", "relative_url": "/video/finding-trig-function-values-using-unit-circle-definition", "has_questions": false, "keywords": "unit circle, trigonometry, sin, cos, tan", "ka_url": "http://www.khanacademy.org/video/finding-trig-function-values-using-unit-circle-definition", "duration": 684, "translated_title": "Example: Trig function values using unit circle definition", "translated_description_html": "Worked example that uses the unit circle definition to evaluate trig functions", "id": "1153645878", "description_html": "Worked example that uses the unit circle definition to evaluate trig functions", "title": "Example: Trig function values using unit circle definition", "progress_key": "v1153645878", "edit_slug": "edit/v/1153645878", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Worked example that uses the unit circle definition to evaluate trig functions", "extra_properties": null, "node_slug": "v/finding-trig-function-values-using-unit-circle-definition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-17T00:10:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QLOssxcOXWo.mp4/QLOssxcOXWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QLOssxcOXWo.mp4/QLOssxcOXWo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QLOssxcOXWo.m3u8/QLOssxcOXWo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QLOssxcOXWo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153645878", "sha": "4dddb0d17820f86b8ff59892c0bd8dc977752569", "translated_description": "Worked example that uses the unit circle definition to evaluate trig functions", "image_url": "https://img.youtube.com/vi/QLOssxcOXWo/hqdefault.jpg", "youtube_id": "QLOssxcOXWo", "content_kind": "Video", "readable_id": "finding-trig-function-values-using-unit-circle-definition"}, {"translated_youtube_id": "3eLgON_u1j8", "relative_url": "/video/the-sign-of-sine", "has_questions": false, "keywords": "sin, cos, csc, unit circle", "ka_url": "http://www.khanacademy.org/video/the-sign-of-sine", "duration": 200, "translated_title": "Example: The signs of sine and cosecant", "translated_description_html": "Using the unit circle definition to think out the sin and cosine of a negative angle.", "id": "1153674718", "description_html": "Using the unit circle definition to think out the sin and cosine of a negative angle.", "title": "Example: The signs of sine and cosecant", "progress_key": "v1153674718", "edit_slug": "edit/v/1153674718", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the unit circle definition to think out the sin and cosine of a negative angle.", "extra_properties": null, "node_slug": "v/the-sign-of-sine", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-11-17T00:11:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3eLgON_u1j8.mp4/3eLgON_u1j8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3eLgON_u1j8.mp4/3eLgON_u1j8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3eLgON_u1j8.m3u8/3eLgON_u1j8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3eLgON_u1j8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153674718", "sha": "b1172569d3b34e93d97dbe7114337094e9834a3f", "translated_description": "Using the unit circle definition to think out the sin and cosine of a negative angle.", "image_url": "https://img.youtube.com/vi/3eLgON_u1j8/hqdefault.jpg", "youtube_id": "3eLgON_u1j8", "content_kind": "Video", "readable_id": "the-sign-of-sine"}, {"translated_youtube_id": "Jni7E2RH43s", "relative_url": "/video/unit-circle-manipulative", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unit-circle-manipulative", "duration": 252, "translated_title": "Unit circle manipulative", "translated_description_html": "Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle", "id": "1254698328", "description_html": "Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle", "title": "Unit circle manipulative", "progress_key": "v1254698328", "edit_slug": "edit/v/1254698328", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle", "extra_properties": null, "node_slug": "v/unit-circle-manipulative", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-29T01:54:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jni7E2RH43s.mp4/Jni7E2RH43s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jni7E2RH43s.mp4/Jni7E2RH43s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jni7E2RH43s.m3u8/Jni7E2RH43s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jni7E2RH43s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254698328", "sha": "555b720db96250e2dcd4ddf6067692d819732406", "translated_description": "Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle", "image_url": "https://img.youtube.com/vi/Jni7E2RH43s/hqdefault.jpg", "youtube_id": "Jni7E2RH43s", "content_kind": "Video", "readable_id": "unit-circle-manipulative"}], "twitter_url": "", "translated_description": "You're beginning to outgrow SOH CAH TOA. It breaks down for angles greater than or equal to 90. It breaks down for negative angles. Sometimes in life, breaking a bad relationship early is good for both parties. \n\nLucky for you, you don't have to stay lonely for long. We're about to introduce you to a much more robust way to define trigonometric functions. Don't want to get too hopeful, but this might be a keeper.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're beginning to outgrow SOH CAH TOA. It breaks down for angles greater than or equal to 90. It breaks down for negative angles. Sometimes in life, breaking a bad relationship early is good for both parties. \n\nLucky for you, you don't have to stay lonely for long. We're about to introduce you to a much more robust way to define trigonometric functions. Don't want to get too hopeful, but this might be a keeper.", "x_pos": 0.0, "node_slug": "unit_circle_tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axadac5733", "topic_page_url": "/math/trigonometry/basic-trigonometry/unit_circle_tut", "extended_slug": "math/trigonometry/basic-trigonometry/unit_circle_tut", "slug": "unit_circle_tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "fdfbbe90482e2479b193dd205e190858075777bc", "standalone_title": "Unit circle", "y_pos": 0.0, "current_revision_key": "fdfbbe90482e2479b193dd205e190858075777bc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial", "translated_standalone_title": "Graphs of trig functions", "translated_title": "Graphs of trig functions", "gplus_url": "", "id": "x31183e90", "old_key_name": "byb93OtOjrtvORM-14JyR-uJLKpdbMmICEVQ2mnd", "hide": false, "title": "Graphs of trig functions", "child_data": [{"kind": "Video", "id": 1153456927}, {"kind": "Video", "id": 1153795385}, {"kind": "Video", "id": 1153664550}, {"kind": "Video", "id": 1153684694}, {"kind": "Video", "id": 1153830189}, {"kind": "Video", "id": 1153825235}, {"kind": "Video", "id": 1153750318}, {"kind": "Exercise", "id": 2033}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 26230}, {"kind": "Video", "id": 26232}, {"kind": "Video", "id": 26234}, {"kind": "Video", "id": 26236}, {"kind": "Video", "id": 26238}], "children": [{"translated_youtube_id": "sjUhr0HkLUg", "relative_url": "/video/we-graph--domain--and-range-of-sine-function", "has_questions": false, "keywords": "graph, sine, sin", "ka_url": "http://www.khanacademy.org/video/we-graph--domain--and-range-of-sine-function", "duration": 562, "translated_title": "Example: Graph, domain, and range of sine function", "translated_description_html": "Graphing a sin curve to think about its domain and range.", "id": "1153456927", "description_html": "Graphing a sin curve to think about its domain and range.", "title": "Example: Graph, domain, and range of sine function", "progress_key": "v1153456927", "edit_slug": "edit/v/1153456927", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing a sin curve to think about its domain and range.", "extra_properties": null, "node_slug": "v/we-graph--domain--and-range-of-sine-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:23:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sjUhr0HkLUg.mp4/sjUhr0HkLUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sjUhr0HkLUg.mp4/sjUhr0HkLUg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sjUhr0HkLUg.m3u8/sjUhr0HkLUg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sjUhr0HkLUg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153456927", "sha": "03db8d07bc4b05a517915223bae6aa0663315763", "translated_description": "Graphing a sin curve to think about its domain and range.", "image_url": "https://img.youtube.com/vi/sjUhr0HkLUg/hqdefault.jpg", "youtube_id": "sjUhr0HkLUg", "content_kind": "Video", "readable_id": "we-graph--domain--and-range-of-sine-function"}, {"translated_youtube_id": "SdHwokUU8xI", "relative_url": "/video/we-graph-of-cosine-function", "has_questions": false, "keywords": "cos, cosine, graph", "ka_url": "http://www.khanacademy.org/video/we-graph-of-cosine-function", "duration": 318, "translated_title": "Example: Graph of cosine", "translated_description_html": "Basic interpretation of the graph of the cosine function", "id": "1153795385", "description_html": "Basic interpretation of the graph of the cosine function", "title": "Example: Graph of cosine", "progress_key": "v1153795385", "edit_slug": "edit/v/1153795385", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic interpretation of the graph of the cosine function", "extra_properties": null, "node_slug": "v/we-graph-of-cosine-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-17T00:24:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SdHwokUU8xI.mp4/SdHwokUU8xI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SdHwokUU8xI.mp4/SdHwokUU8xI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SdHwokUU8xI.m3u8/SdHwokUU8xI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SdHwokUU8xI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153795385", "sha": "c625e7cebef78f5f2d0c2af810ff6d1757d392f0", "translated_description": "Basic interpretation of the graph of the cosine function", "image_url": "https://img.youtube.com/vi/SdHwokUU8xI/hqdefault.jpg", "youtube_id": "SdHwokUU8xI", "content_kind": "Video", "readable_id": "we-graph-of-cosine-function"}, {"translated_youtube_id": "fp9DZYmiSC4", "relative_url": "/video/we-graphs-of-sine-and-cosine-functions", "has_questions": false, "keywords": "sin, cos, sine, cosine, graph, trig", "ka_url": "http://www.khanacademy.org/video/we-graphs-of-sine-and-cosine-functions", "duration": 667, "translated_title": "Example: Intersection of sine and cosine", "translated_description_html": "Thinking about where the graphs of sin and cos intersect.", "id": "1153664550", "description_html": "Thinking about where the graphs of sin and cos intersect.", "title": "Example: Intersection of sine and cosine", "progress_key": "v1153664550", "edit_slug": "edit/v/1153664550", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about where the graphs of sin and cos intersect.", "extra_properties": null, "node_slug": "v/we-graphs-of-sine-and-cosine-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:25:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fp9DZYmiSC4.mp4/fp9DZYmiSC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fp9DZYmiSC4.mp4/fp9DZYmiSC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fp9DZYmiSC4.m3u8/fp9DZYmiSC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fp9DZYmiSC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153664550", "sha": "6f031ca564b634253e5547e2a3c02462ce3a854d", "translated_description": "Thinking about where the graphs of sin and cos intersect.", "image_url": "https://img.youtube.com/vi/fp9DZYmiSC4/hqdefault.jpg", "youtube_id": "fp9DZYmiSC4", "content_kind": "Video", "readable_id": "we-graphs-of-sine-and-cosine-functions"}, {"translated_youtube_id": "SBqnRja4CW4", "relative_url": "/video/we-amplitude-and-period", "has_questions": false, "keywords": "cos, amplitude, period, trig", "ka_url": "http://www.khanacademy.org/video/we-amplitude-and-period", "duration": 501, "translated_title": "Example: Amplitude and period", "translated_description_html": "Determining the amplitude and period of a trig function", "id": "1153684694", "description_html": "Determining the amplitude and period of a trig function", "title": "Example: Amplitude and period", "progress_key": "v1153684694", "edit_slug": "edit/v/1153684694", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the amplitude and period of a trig function", "extra_properties": null, "node_slug": "v/we-amplitude-and-period", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-17T00:27:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SBqnRja4CW4.mp4/SBqnRja4CW4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SBqnRja4CW4.mp4/SBqnRja4CW4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SBqnRja4CW4.m3u8/SBqnRja4CW4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SBqnRja4CW4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153684694", "sha": "b2d2d866783b9a69a2bc5466052c9128ff7ea934", "translated_description": "Determining the amplitude and period of a trig function", "image_url": "https://img.youtube.com/vi/SBqnRja4CW4/hqdefault.jpg", "youtube_id": "SBqnRja4CW4", "content_kind": "Video", "readable_id": "we-amplitude-and-period"}, {"translated_youtube_id": "0zCcFSO8ouE", "relative_url": "/video/example--amplitude-and-period-transformations", "has_questions": false, "keywords": "amplitude, period, sin, trig", "ka_url": "http://www.khanacademy.org/video/example--amplitude-and-period-transformations", "duration": 772, "translated_title": "Example: Amplitude and period transformations", "translated_description_html": "Understanding how the amplitude and period changes as coefficients change.", "id": "1153830189", "description_html": "Understanding how the amplitude and period changes as coefficients change.", "title": "Example: Amplitude and period transformations", "progress_key": "v1153830189", "edit_slug": "edit/v/1153830189", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding how the amplitude and period changes as coefficients change.", "extra_properties": null, "node_slug": "v/example--amplitude-and-period-transformations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-17T00:28:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0zCcFSO8ouE.mp4/0zCcFSO8ouE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0zCcFSO8ouE.mp4/0zCcFSO8ouE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0zCcFSO8ouE.m3u8/0zCcFSO8ouE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0zCcFSO8ouE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153830189", "sha": "c2da919b0500d789384c9604c3d6f2383cd08ec5", "translated_description": "Understanding how the amplitude and period changes as coefficients change.", "image_url": "https://img.youtube.com/vi/0zCcFSO8ouE/hqdefault.jpg", "youtube_id": "0zCcFSO8ouE", "content_kind": "Video", "readable_id": "example--amplitude-and-period-transformations"}, {"translated_youtube_id": "uBVhtGL9y88", "relative_url": "/video/amplitude-and-period-cosine-transformations", "has_questions": false, "keywords": "trig, amplitude, period, cos", "ka_url": "http://www.khanacademy.org/video/amplitude-and-period-cosine-transformations", "duration": 643, "translated_title": "Example: Amplitude and period cosine transformations", "translated_description_html": "Visualizing changes in amplitude and period for a cosine function", "id": "1153825235", "description_html": "Visualizing changes in amplitude and period for a cosine function", "title": "Example: Amplitude and period cosine transformations", "progress_key": "v1153825235", "edit_slug": "edit/v/1153825235", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing changes in amplitude and period for a cosine function", "extra_properties": null, "node_slug": "v/amplitude-and-period-cosine-transformations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-17T00:29:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uBVhtGL9y88.mp4/uBVhtGL9y88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uBVhtGL9y88.mp4/uBVhtGL9y88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uBVhtGL9y88.m3u8/uBVhtGL9y88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uBVhtGL9y88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153825235", "sha": "91a0c84c8575ab7c0b51e7e66799a5bc09af46f1", "translated_description": "Visualizing changes in amplitude and period for a cosine function", "image_url": "https://img.youtube.com/vi/uBVhtGL9y88/hqdefault.jpg", "youtube_id": "uBVhtGL9y88", "content_kind": "Video", "readable_id": "amplitude-and-period-cosine-transformations"}, {"translated_youtube_id": "TGgOCc5hoHA", "relative_url": "/video/matching-a-trigonometric-function-to-its-graph", "has_questions": false, "keywords": "amplitude, period, trig", "ka_url": "http://www.khanacademy.org/video/matching-a-trigonometric-function-to-its-graph", "duration": 394, "translated_title": "Example: Figure out the trig function", "translated_description_html": "Determining a trig function given its graph", "id": "1153750318", "description_html": "Determining a trig function given its graph", "title": "Example: Figure out the trig function", "progress_key": "v1153750318", "edit_slug": "edit/v/1153750318", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining a trig function given its graph", "extra_properties": null, "node_slug": "v/matching-a-trigonometric-function-to-its-graph", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-17T00:30:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TGgOCc5hoHA.mp4/TGgOCc5hoHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TGgOCc5hoHA.mp4/TGgOCc5hoHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TGgOCc5hoHA.m3u8/TGgOCc5hoHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TGgOCc5hoHA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153750318", "sha": "a02921605783df6169131ed89ce9bb1a38d23d56", "translated_description": "Determining a trig function given its graph", "image_url": "https://img.youtube.com/vi/TGgOCc5hoHA/hqdefault.jpg", "youtube_id": "TGgOCc5hoHA", "content_kind": "Video", "readable_id": "matching-a-trigonometric-function-to-its-graph"}, {"translated_youtube_id": "2zoiW4PdVKo", "relative_url": "/video/graph-of-the-sine-function", "has_questions": false, "keywords": "sin, sine, graph, trig, trigonometry, khan, CC_39336_F-TF_2", "ka_url": "http://www.khanacademy.org/video/graph-of-the-sine-function", "duration": 464, "translated_title": "Graph of the sine function", "translated_description_html": "Using the unit circle definition of the sine function to make a graph of it.", "id": "26230", "description_html": "Using the unit circle definition of the sine function to make a graph of it.", "title": "Graph of the sine function", "progress_key": "v26230", "edit_slug": "edit/v/26230", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the unit circle definition of the sine function to make a graph of it.", "extra_properties": null, "node_slug": "v/graph-of-the-sine-function", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2zoiW4PdVKo.mp4/2zoiW4PdVKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2zoiW4PdVKo.mp4/2zoiW4PdVKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2zoiW4PdVKo.m3u8/2zoiW4PdVKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2zoiW4PdVKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26230", "sha": "91cd819e0683fed9629e6f5341250204e5e71cfc", "translated_description": "Using the unit circle definition of the sine function to make a graph of it.", "image_url": "https://img.youtube.com/vi/2zoiW4PdVKo/hqdefault.jpg", "youtube_id": "2zoiW4PdVKo", "content_kind": "Video", "readable_id": "graph-of-the-sine-function"}, {"translated_youtube_id": "QmxMPPkZpME", "relative_url": "/video/graphs-of-trig-functions", "has_questions": false, "keywords": "graph, trigonometry, amplitude, period, math, CC_39336_F-IF_7_e", "ka_url": "http://www.khanacademy.org/video/graphs-of-trig-functions", "duration": 616, "translated_title": "Graphs of trig functions", "translated_description_html": "Exploring the graphs of trig functions", "id": "26232", "description_html": "Exploring the graphs of trig functions", "title": "Graphs of trig functions", "progress_key": "v26232", "edit_slug": "edit/v/26232", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring the graphs of trig functions", "extra_properties": null, "node_slug": "v/graphs-of-trig-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QmxMPPkZpME.mp4/QmxMPPkZpME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QmxMPPkZpME.mp4/QmxMPPkZpME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QmxMPPkZpME.m3u8/QmxMPPkZpME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QmxMPPkZpME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26232", "sha": "26037c6d8cfa0aabd5888c5183f315166d562b20", "translated_description": "Exploring the graphs of trig functions", "image_url": "https://img.youtube.com/vi/QmxMPPkZpME/hqdefault.jpg", "youtube_id": "QmxMPPkZpME", "content_kind": "Video", "readable_id": "graphs-of-trig-functions"}, {"translated_youtube_id": "vHYI93UV5Kg", "relative_url": "/video/graphing-trig-functions", "has_questions": false, "keywords": "graph, amplitude, period, sine, cosine, trig, CC_39336_F-IF_7_e", "ka_url": "http://www.khanacademy.org/video/graphing-trig-functions", "duration": 593, "translated_title": "Graphing trig functions", "translated_description_html": "Analyzing the amplitude and periods of the sine and cosine functions.", "id": "26234", "description_html": "Analyzing the amplitude and periods of the sine and cosine functions.", "title": "Graphing trig functions", "progress_key": "v26234", "edit_slug": "edit/v/26234", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analyzing the amplitude and periods of the sine and cosine functions.", "extra_properties": null, "node_slug": "v/graphing-trig-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vHYI93UV5Kg.mp4/vHYI93UV5Kg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vHYI93UV5Kg.mp4/vHYI93UV5Kg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vHYI93UV5Kg.m3u8/vHYI93UV5Kg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vHYI93UV5Kg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26234", "sha": "c2c6c5d1ffa19d24ce83197467190fa81fead2c6", "translated_description": "Analyzing the amplitude and periods of the sine and cosine functions.", "image_url": "https://img.youtube.com/vi/vHYI93UV5Kg/hqdefault.jpg", "youtube_id": "vHYI93UV5Kg", "content_kind": "Video", "readable_id": "graphing-trig-functions"}, {"translated_youtube_id": "NIG3l8oWKYE", "relative_url": "/video/more-trig-graphs", "has_questions": false, "keywords": "trig, graph, sine, cosine, period, amplitude, CC_39336_F-IF_7_e, CC_39336_F-TF_5", "ka_url": "http://www.khanacademy.org/video/more-trig-graphs", "duration": 312, "translated_title": "More trig graphs", "translated_description_html": "Determining the equations of trig functions by inspecting their graphs.", "id": "26236", "description_html": "Determining the equations of trig functions by inspecting their graphs.", "title": "More trig graphs", "progress_key": "v26236", "edit_slug": "edit/v/26236", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the equations of trig functions by inspecting their graphs.", "extra_properties": null, "node_slug": "v/more-trig-graphs", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NIG3l8oWKYE.mp4/NIG3l8oWKYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NIG3l8oWKYE.mp4/NIG3l8oWKYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NIG3l8oWKYE.m3u8/NIG3l8oWKYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NIG3l8oWKYE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26236", "sha": "1bff332e7a0b11df44ed735b7fe2787129160add", "translated_description": "Determining the equations of trig functions by inspecting their graphs.", "image_url": "https://img.youtube.com/vi/NIG3l8oWKYE/hqdefault.jpg", "youtube_id": "NIG3l8oWKYE", "content_kind": "Video", "readable_id": "more-trig-graphs"}, {"translated_youtube_id": "yvW5l9W1hgE", "relative_url": "/video/determining-the-equation-of-a-trigonometric-function", "has_questions": false, "keywords": "Period, amplitude, sine, cosine, sin, cos, trigonometry, CC_39336_F-IF_7_e", "ka_url": "http://www.khanacademy.org/video/determining-the-equation-of-a-trigonometric-function", "duration": 591, "translated_title": "Determining the equation of a trigonometric function", "translated_description_html": "Determining the amplitude and period of sine and cosine functions.", "id": "26238", "description_html": "Determining the amplitude and period of sine and cosine functions.", "title": "Determining the equation of a trigonometric function", "progress_key": "v26238", "edit_slug": "edit/v/26238", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the amplitude and period of sine and cosine functions.", "extra_properties": null, "node_slug": "v/determining-the-equation-of-a-trigonometric-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yvW5l9W1hgE.mp4/yvW5l9W1hgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yvW5l9W1hgE.mp4/yvW5l9W1hgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yvW5l9W1hgE.m3u8/yvW5l9W1hgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yvW5l9W1hgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26238", "sha": "9acb790ffff23c57222e8d2bc00d4db742ee54e6", "translated_description": "Determining the amplitude and period of sine and cosine functions.", "image_url": "https://img.youtube.com/vi/yvW5l9W1hgE/hqdefault.jpg", "youtube_id": "yvW5l9W1hgE", "content_kind": "Video", "readable_id": "determining-the-equation-of-a-trigonometric-function"}], "twitter_url": "", "translated_description": "The unit circle definition allows us to define sine and cosine over all real numbers. Doesn't that make you curious what the graphs might look like? Well this tutorial will scratch that itch (and maybe a few others). Have fun.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The unit circle definition allows us to define sine and cosine over all real numbers. Doesn't that make you curious what the graphs might look like? Well this tutorial will scratch that itch (and maybe a few others). Have fun.", "x_pos": 0.0, "node_slug": "trig_graphs_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax31183e90", "topic_page_url": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial", "extended_slug": "math/trigonometry/basic-trigonometry/trig_graphs_tutorial", "slug": "trig_graphs_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d780f4711ead35d5ccb04260084bbabc003bbda2", "standalone_title": "Graphs of trig functions", "y_pos": 0.0, "current_revision_key": "d780f4711ead35d5ccb04260084bbabc003bbda2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/inverse_trig_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions", "translated_standalone_title": "Inverse trig functions", "translated_title": "Inverse trig functions", "gplus_url": "", "id": "x674152d1", "old_key_name": "cdeMR3182-dCNcPZC90SvvDMtkKaLJjgCURZCc-F", "hide": false, "title": "Inverse trig functions", "child_data": [{"kind": "Video", "id": 26269}, {"kind": "Video", "id": 26273}, {"kind": "Video", "id": 26271}, {"kind": "Video", "id": 1153545782}, {"kind": "Exercise", "id": 3943241}], "children": [{"translated_youtube_id": "JGU74wbZMLg", "relative_url": "/video/inverse-trig-functions--arcsin", "has_questions": false, "keywords": "trigonometry, arcsin, arcsine, inverse, CC_39336_F-BF_4, CC_39336_F-BF_4_b, CC_39336_F-TF_3", "ka_url": "http://www.khanacademy.org/video/inverse-trig-functions--arcsin", "duration": 636, "translated_title": "Inverse trig functions: arcsin", "translated_description_html": "Introduction to the inverse trig function arcsin", "id": "26269", "description_html": "Introduction to the inverse trig function arcsin", "title": "Inverse trig functions: arcsin", "progress_key": "v26269", "edit_slug": "edit/v/26269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the inverse trig function arcsin", "extra_properties": null, "node_slug": "v/inverse-trig-functions--arcsin", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JGU74wbZMLg.mp4/JGU74wbZMLg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JGU74wbZMLg.mp4/JGU74wbZMLg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JGU74wbZMLg.m3u8/JGU74wbZMLg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JGU74wbZMLg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26269", "sha": "a9fde4fa5326e11b08748b8a33cac56cb0680538", "translated_description": "Introduction to the inverse trig function arcsin", "image_url": "https://img.youtube.com/vi/JGU74wbZMLg/hqdefault.jpg", "youtube_id": "JGU74wbZMLg", "content_kind": "Video", "readable_id": "inverse-trig-functions--arcsin"}, {"translated_youtube_id": "eTDaJ4ebK28", "relative_url": "/video/inverse-trig-functions--arccos", "has_questions": false, "keywords": "trigonometry, arccos, inverse, CC_39336_F-BF_4", "ka_url": "http://www.khanacademy.org/video/inverse-trig-functions--arccos", "duration": 818, "translated_title": "Inverse trig functions: arccos", "translated_description_html": "Understanding the inverse cosine or arccos function", "id": "26273", "description_html": "Understanding the inverse cosine or arccos function", "title": "Inverse trig functions: arccos", "progress_key": "v26273", "edit_slug": "edit/v/26273", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the inverse cosine or arccos function", "extra_properties": null, "node_slug": "v/inverse-trig-functions--arccos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eTDaJ4ebK28.mp4/eTDaJ4ebK28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eTDaJ4ebK28.mp4/eTDaJ4ebK28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eTDaJ4ebK28.m3u8/eTDaJ4ebK28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eTDaJ4ebK28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26273", "sha": "ff5305058842f1617ae17fe9f15548e4363f19d4", "translated_description": "Understanding the inverse cosine or arccos function", "image_url": "https://img.youtube.com/vi/eTDaJ4ebK28/hqdefault.jpg", "youtube_id": "eTDaJ4ebK28", "content_kind": "Video", "readable_id": "inverse-trig-functions--arccos"}, {"translated_youtube_id": "Idxeo49szW0", "relative_url": "/video/inverse-trig-functions--arctan", "has_questions": false, "keywords": "trigonometry, arctan, inverse, CC_39336_F-BF_4, CC_39336_F-BF_4_b, CC_39336_F-BF_4_c", "ka_url": "http://www.khanacademy.org/video/inverse-trig-functions--arctan", "duration": 606, "translated_title": "Inverse trig functions: arctan", "translated_description_html": "Understanding the arctan or inverse tangent function.", "id": "26271", "description_html": "Understanding the arctan or inverse tangent function.", "title": "Inverse trig functions: arctan", "progress_key": "v26271", "edit_slug": "edit/v/26271", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the arctan or inverse tangent function.", "extra_properties": null, "node_slug": "v/inverse-trig-functions--arctan", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Idxeo49szW0.mp4/Idxeo49szW0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Idxeo49szW0.mp4/Idxeo49szW0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Idxeo49szW0.m3u8/Idxeo49szW0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Idxeo49szW0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26271", "sha": "b89d602d4688bef7e7ae9dcae7b8e5f2d75532c2", "translated_description": "Understanding the arctan or inverse tangent function.", "image_url": "https://img.youtube.com/vi/Idxeo49szW0/hqdefault.jpg", "youtube_id": "Idxeo49szW0", "content_kind": "Video", "readable_id": "inverse-trig-functions--arctan"}, {"translated_youtube_id": "4M62l7m1FJ4", "relative_url": "/video/example---calculator-to-evaluate-inverse-trig-function", "has_questions": false, "keywords": "inverse trig tangent arctan tan arctangent", "ka_url": "http://www.khanacademy.org/video/example---calculator-to-evaluate-inverse-trig-function", "duration": 208, "translated_title": "Example: Calculator to evaluate inverse trig function", "translated_description_html": "Example using calculator to evaluate inverse tangent function", "id": "1153545782", "description_html": "Example using calculator to evaluate inverse tangent function", "title": "Example: Calculator to evaluate inverse trig function", "progress_key": "v1153545782", "edit_slug": "edit/v/1153545782", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example using calculator to evaluate inverse tangent function", "extra_properties": null, "node_slug": "v/example---calculator-to-evaluate-inverse-trig-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-16T22:54:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4M62l7m1FJ4.mp4/4M62l7m1FJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4M62l7m1FJ4.mp4/4M62l7m1FJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4M62l7m1FJ4.m3u8/4M62l7m1FJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4M62l7m1FJ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1153545782", "sha": "0aa0528c832459396264a83f3e2050563201eba4", "translated_description": "Example using calculator to evaluate inverse tangent function", "image_url": "https://img.youtube.com/vi/4M62l7m1FJ4/hqdefault.jpg", "youtube_id": "4M62l7m1FJ4", "content_kind": "Video", "readable_id": "example---calculator-to-evaluate-inverse-trig-function"}], "twitter_url": "", "translated_description": "Someone has taken the sine of an angle and got 0.85671 and they won't tell you what the angle is!!! You must know it! But how?!!!\n\nInverse trig functions are here to save your day (they often go under the aliases arcsin, arccos, and arctan).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Someone has taken the sine of an angle and got 0.85671 and they won't tell you what the angle is!!! You must know it! But how?!!!\n\nInverse trig functions are here to save your day (they often go under the aliases arcsin, arccos, and arctan).", "x_pos": 0.0, "node_slug": "inverse_trig_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax674152d1", "topic_page_url": "/math/trigonometry/basic-trigonometry/inverse_trig_functions", "extended_slug": "math/trigonometry/basic-trigonometry/inverse_trig_functions", "slug": "inverse_trig_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7a691c32ffbd3a0d21fbdc3c2f9173115a8746dd", "standalone_title": "Inverse trig functions", "y_pos": 0.0, "current_revision_key": "7a691c32ffbd3a0d21fbdc3c2f9173115a8746dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/basic-trigonometry/long_live_tau", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/basic-trigonometry/long_live_tau", "translated_standalone_title": "Long live Tau", "translated_title": "Long live tau", "gplus_url": "", "id": "x215566f4", "old_key_name": "X_XhiXYcr43OXR1cDAtF9ZswPlaMj1S055It83rH", "hide": false, "title": "Long live tau", "child_data": [{"kind": "Video", "id": 145890679}, {"kind": "Video", "id": 538086220}], "children": [{"translated_youtube_id": "1jDDfkKKgmc", "relative_url": "/video/tau-versus-pi", "has_questions": false, "keywords": "trigonometry, geometry, euler's, formula, identity, radian, sin, cos, sine, angle", "ka_url": "http://www.khanacademy.org/video/tau-versus-pi", "duration": 982, "translated_title": "Tau versus pi", "translated_description_html": "Why Tau might be a better number to look at than Pi", "id": "145890679", "description_html": "Why Tau might be a better number to look at than Pi", "title": "Tau versus pi", "progress_key": "v145890679", "edit_slug": "edit/v/145890679", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why Tau might be a better number to look at than Pi", "extra_properties": null, "node_slug": "v/tau-versus-pi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-11T23:26:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1jDDfkKKgmc.mp4/1jDDfkKKgmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1jDDfkKKgmc.mp4/1jDDfkKKgmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1jDDfkKKgmc.m3u8/1jDDfkKKgmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1jDDfkKKgmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145890679", "sha": "777a52de9dfde518f96d1e22613c4b829b52bc63", "translated_description": "Why Tau might be a better number to look at than Pi", "image_url": "https://img.youtube.com/vi/1jDDfkKKgmc/hqdefault.jpg", "youtube_id": "1jDDfkKKgmc", "content_kind": "Video", "readable_id": "tau-versus-pi"}, {"translated_youtube_id": "jG7vhMMXagQ", "relative_url": "/video/pi-is--still--wrong", "has_questions": false, "keywords": "pi, tau, pie, pi day, trigonometry, trig, math, mathematics, Magritte, charlie sheen", "ka_url": "http://www.khanacademy.org/video/pi-is--still--wrong", "duration": 317, "translated_title": "Pi is (still) wrong.", "translated_description_html": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "id": "538086220", "description_html": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "title": "Pi is (still) wrong.", "progress_key": "v538086220", "edit_slug": "edit/v/538086220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "extra_properties": {"original_url": ""}, "node_slug": "v/pi-is--still--wrong", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:36:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.m3u8/jG7vhMMXagQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jG7vhMMXagQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538086220", "sha": "cd85548e85b8ae6d7be6b27b54446df7226143b5", "translated_description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "image_url": "https://img.youtube.com/vi/jG7vhMMXagQ/hqdefault.jpg", "youtube_id": "jG7vhMMXagQ", "content_kind": "Video", "readable_id": "pi-is--still--wrong"}], "twitter_url": "", "translated_description": "Pi (3.14159...) seems to get all of the attention in mathematics. On some level this is warranted. The ratio of the circumference of a circle to the diameter. Seems pretty pure. But what about the ratio of the circumference to the radius (which is two times pi and referred to as \"tau\")? Now that you know a bit of trigonometry, you'll discover in videos made by Sal and Vi that \"tau\" may be much more deserving of the throne!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Pi (3.14159...) seems to get all of the attention in mathematics. On some level this is warranted. The ratio of the circumference of a circle to the diameter. Seems pretty pure. But what about the ratio of the circumference to the radius (which is two times pi and referred to as \"tau\")? Now that you know a bit of trigonometry, you'll discover in videos made by Sal and Vi that \"tau\" may be much more deserving of the throne!", "x_pos": 0.0, "node_slug": "long_live_tau", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax215566f4", "topic_page_url": "/math/trigonometry/basic-trigonometry/long_live_tau", "extended_slug": "math/trigonometry/basic-trigonometry/long_live_tau", "slug": "long_live_tau", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f5a9f414932acdb5c155ffac7833e743d6b638e4", "standalone_title": "Long live Tau", "y_pos": 0.0, "current_revision_key": "f5a9f414932acdb5c155ffac7833e743d6b638e4", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "basic-trigonometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax74f9f730", "topic_page_url": "/math/trigonometry/basic-trigonometry", "extended_slug": "math/trigonometry/basic-trigonometry", "slug": "basic-trigonometry", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "64b21d9e9a22ef34e3e84a9a24c497471de18862", "standalone_title": "Basic trigonometry", "y_pos": 0.0, "current_revision_key": "64b21d9e9a22ef34e3e84a9a24c497471de18862", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/less-basic-trigonometry", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/less-basic-trigonometry", "translated_standalone_title": "Trig identities and examples", "translated_title": "Trig identities and examples", "gplus_url": "", "id": "x6c759222", "old_key_name": "1cma_FaxmfJzuGtkwR93uwPA-wOqlh4W69Wafn26", "hide": false, "title": "Trig identities and examples", "child_data": [{"kind": "Topic", "id": "x97f8ef15"}, {"kind": "Topic", "id": "xced61f24"}, {"kind": "Topic", "id": "x3c0c78e3"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial", "translated_standalone_title": "Trig identities", "translated_title": "Trigonometric identities", "gplus_url": "", "id": "x97f8ef15", "old_key_name": "SX7iZjaM1JVeeQRZZ7B0HaAhFcrtj2qRN4YD-PuQ", "hide": false, "title": "Trigonometric identities", "child_data": [{"kind": "Video", "id": 26275}, {"kind": "Video", "id": 26240}, {"kind": "Exercise", "id": 3886255}, {"kind": "Video", "id": "x756fc164"}, {"kind": "Exercise", "id": 986800089}, {"kind": "Video", "id": 26242}, {"kind": "Video", "id": 26244}, {"kind": "Video", "id": 26246}, {"kind": "Video", "id": 26248}, {"kind": "Video", "id": "xfb68005e"}, {"kind": "Video", "id": "x5368b1c4"}, {"kind": "Exercise", "id": 986815073}], "children": [{"translated_youtube_id": "a70-dYvDJZY", "relative_url": "/video/trigonometry-identity-review-fun", "has_questions": false, "keywords": "trig, trigonometry", "ka_url": "http://www.khanacademy.org/video/trigonometry-identity-review-fun", "duration": 667, "translated_title": "Trigonometry identity review/fun", "translated_description_html": "", "id": "26275", "description_html": "", "title": "Trigonometry identity review/fun", "progress_key": "v26275", "edit_slug": "edit/v/26275", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/trigonometry-identity-review-fun", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a70-dYvDJZY.mp4/a70-dYvDJZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a70-dYvDJZY.mp4/a70-dYvDJZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a70-dYvDJZY.m3u8/a70-dYvDJZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a70-dYvDJZY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26275", "sha": "dd0238d0d81878c5f899eac3ce16419fbf3f96be", "translated_description": "", "image_url": "https://img.youtube.com/vi/a70-dYvDJZY/hqdefault.jpg", "youtube_id": "a70-dYvDJZY", "content_kind": "Video", "readable_id": "trigonometry-identity-review-fun"}, {"translated_youtube_id": "OLzXqIqZZz0", "relative_url": "/video/trigonometric-identities", "has_questions": false, "keywords": "trigonometry, trig, identities, math, trigonometric, khan", "ka_url": "http://www.khanacademy.org/video/trigonometric-identities", "duration": 550, "translated_title": "Trigonometric identities", "translated_description_html": "Introduction to trigonometric identities", "id": "26240", "description_html": "Introduction to trigonometric identities", "title": "Trigonometric identities", "progress_key": "v26240", "edit_slug": "edit/v/26240", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to trigonometric identities", "extra_properties": null, "node_slug": "v/trigonometric-identities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OLzXqIqZZz0.mp4/OLzXqIqZZz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OLzXqIqZZz0.mp4/OLzXqIqZZz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OLzXqIqZZz0.m3u8/OLzXqIqZZz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OLzXqIqZZz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26240", "sha": "366f1af0a952c9281dd64cf89a2778cb062ca6be", "translated_description": "Introduction to trigonometric identities", "image_url": "https://img.youtube.com/vi/OLzXqIqZZz0/hqdefault.jpg", "youtube_id": "OLzXqIqZZz0", "content_kind": "Video", "readable_id": "trigonometric-identities"}, {"translated_youtube_id": "4OEeVLo5V1o", "relative_url": "/video/examples-using-pythagorean-identities-to-simplify-trigonometric--expressions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/examples-using-pythagorean-identities-to-simplify-trigonometric--expressions", "duration": 187, "translated_title": "Examples using pythagorean identities to simplify trigonometric expressions", "translated_description_html": "", "id": "x756fc164", "description_html": "", "title": "Examples using pythagorean identities to simplify trigonometric expressions", "progress_key": "vx756fc164", "edit_slug": "edit/v/x756fc164", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/examples-using-pythagorean-identities-to-simplify-trigonometric--expressions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4OEeVLo5V1o.mp4/4OEeVLo5V1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4OEeVLo5V1o.mp4/4OEeVLo5V1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4OEeVLo5V1o.m3u8/4OEeVLo5V1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4OEeVLo5V1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx756fc164", "sha": "5321214aeea4727bef2d9c82e541be0639999c63", "translated_description": "", "image_url": "https://img.youtube.com/vi/4OEeVLo5V1o/hqdefault.jpg", "youtube_id": "4OEeVLo5V1o", "content_kind": "Video", "readable_id": "examples-using-pythagorean-identities-to-simplify-trigonometric--expressions"}, {"translated_youtube_id": "zw0waJCEc-w", "relative_url": "/video/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b", "has_questions": false, "keywords": "Trig, trigonmetric, trigonometry, identity, proof, math, sin, khan", "ka_url": "http://www.khanacademy.org/video/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b", "duration": 588, "translated_title": "Proof: sin(a + b) = (cos a)(sin b) + (sin a)(cos b)", "translated_description_html": "Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)", "id": "26242", "description_html": "Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)", "title": "Proof: sin(a + b) = (cos a)(sin b) + (sin a)(cos b)", "progress_key": "v26242", "edit_slug": "edit/v/26242", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)", "extra_properties": null, "node_slug": "v/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zw0waJCEc-w.mp4/zw0waJCEc-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zw0waJCEc-w.mp4/zw0waJCEc-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zw0waJCEc-w.m3u8/zw0waJCEc-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zw0waJCEc-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26242", "sha": "bf475220f73538ece13f66da9d5c8ee5c277c760", "translated_description": "Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)", "image_url": "https://img.youtube.com/vi/zw0waJCEc-w/hqdefault.jpg", "youtube_id": "zw0waJCEc-w", "content_kind": "Video", "readable_id": "proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b"}, {"translated_youtube_id": "V3-xCPDzQ1Q", "relative_url": "/video/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b", "has_questions": false, "keywords": "trig, trigonometric, trigonometry, identities, proof, cos, sin, khan", "ka_url": "http://www.khanacademy.org/video/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b", "duration": 562, "translated_title": "Proof: cos(a + b) = (cos a)(cos b) - (sin a)(sin b)", "translated_description_html": "Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)", "id": "26244", "description_html": "Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)", "title": "Proof: cos(a + b) = (cos a)(cos b) - (sin a)(sin b)", "progress_key": "v26244", "edit_slug": "edit/v/26244", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)", "extra_properties": null, "node_slug": "v/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V3-xCPDzQ1Q.mp4/V3-xCPDzQ1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V3-xCPDzQ1Q.mp4/V3-xCPDzQ1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V3-xCPDzQ1Q.m3u8/V3-xCPDzQ1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V3-xCPDzQ1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26244", "sha": "798cda651210b0f147543d9e6af3cb1dec99a568", "translated_description": "Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)", "image_url": "https://img.youtube.com/vi/V3-xCPDzQ1Q/hqdefault.jpg", "youtube_id": "V3-xCPDzQ1Q", "content_kind": "Video", "readable_id": "proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b"}, {"translated_youtube_id": "ZWSoyUxAQW0", "relative_url": "/video/trig-identities-part-2--parr-4-if-you-watch-the-proofs", "has_questions": false, "keywords": "Trig, trigonometry, trigonometric, identities, math, khan", "ka_url": "http://www.khanacademy.org/video/trig-identities-part-2--parr-4-if-you-watch-the-proofs", "duration": 596, "translated_title": "Trig identities part 2 (part 4 if you watch the proofs)", "translated_description_html": "More playing around with trig identities", "id": "26246", "description_html": "More playing around with trig identities", "title": "Trig identities part 2 (part 4 if you watch the proofs)", "progress_key": "v26246", "edit_slug": "edit/v/26246", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More playing around with trig identities", "extra_properties": null, "node_slug": "v/trig-identities-part-2--parr-4-if-you-watch-the-proofs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZWSoyUxAQW0.mp4/ZWSoyUxAQW0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZWSoyUxAQW0.mp4/ZWSoyUxAQW0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZWSoyUxAQW0.m3u8/ZWSoyUxAQW0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZWSoyUxAQW0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26246", "sha": "a42d9abd4362324c3eab153fd2055bc4bfd3f507", "translated_description": "More playing around with trig identities", "image_url": "https://img.youtube.com/vi/ZWSoyUxAQW0/hqdefault.jpg", "youtube_id": "ZWSoyUxAQW0", "content_kind": "Video", "readable_id": "trig-identities-part-2--parr-4-if-you-watch-the-proofs"}, {"translated_youtube_id": "JXCiFbEMTZ4", "relative_url": "/video/trig-identies-part-3--part-5-if-you-watch-the-proofs", "has_questions": false, "keywords": "Trigonometry, trig, identities, math, khan, academy", "ka_url": "http://www.khanacademy.org/video/trig-identies-part-3--part-5-if-you-watch-the-proofs", "duration": 515, "translated_title": "Trig identies part 3 (part 5 if you watch the proofs)", "translated_description_html": "Continuation of the playing around with trig identities", "id": "26248", "description_html": "Continuation of the playing around with trig identities", "title": "Trig identies part 3 (part 5 if you watch the proofs)", "progress_key": "v26248", "edit_slug": "edit/v/26248", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuation of the playing around with trig identities", "extra_properties": null, "node_slug": "v/trig-identies-part-3--part-5-if-you-watch-the-proofs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JXCiFbEMTZ4.mp4/JXCiFbEMTZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JXCiFbEMTZ4.mp4/JXCiFbEMTZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JXCiFbEMTZ4.m3u8/JXCiFbEMTZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JXCiFbEMTZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26248", "sha": "890cacbe951944e1c599d160d33b71aa7bc3fd73", "translated_description": "Continuation of the playing around with trig identities", "image_url": "https://img.youtube.com/vi/JXCiFbEMTZ4/hqdefault.jpg", "youtube_id": "JXCiFbEMTZ4", "content_kind": "Video", "readable_id": "trig-identies-part-3--part-5-if-you-watch-the-proofs"}, {"translated_youtube_id": "h0SNEO25vIw", "relative_url": "/video/cosine-addition-identity-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cosine-addition-identity-example", "duration": 314, "translated_title": "Cosine addition identity example", "translated_description_html": "", "id": "xfb68005e", "description_html": "", "title": "Cosine addition identity example", "progress_key": "vxfb68005e", "edit_slug": "edit/v/xfb68005e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/cosine-addition-identity-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h0SNEO25vIw.mp4/h0SNEO25vIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h0SNEO25vIw.mp4/h0SNEO25vIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h0SNEO25vIw.m3u8/h0SNEO25vIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h0SNEO25vIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfb68005e", "sha": "fb313cd89fb815cdd29d5909d2c2545edda4e56e", "translated_description": "", "image_url": "https://img.youtube.com/vi/h0SNEO25vIw/hqdefault.jpg", "youtube_id": "h0SNEO25vIw", "content_kind": "Video", "readable_id": "cosine-addition-identity-example"}, {"translated_youtube_id": "D_smr0GBPvA", "relative_url": "/video/double-angle-formula-for-cosine-example-c", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/double-angle-formula-for-cosine-example-c", "duration": 208, "translated_title": "Double angle formula for cosine example", "translated_description_html": "", "id": "x5368b1c4", "description_html": "", "title": "Double angle formula for cosine example", "progress_key": "vx5368b1c4", "edit_slug": "edit/v/x5368b1c4", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/double-angle-formula-for-cosine-example-c", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-07T18:25:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D_smr0GBPvA.mp4/D_smr0GBPvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D_smr0GBPvA.mp4/D_smr0GBPvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D_smr0GBPvA.m3u8/D_smr0GBPvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D_smr0GBPvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5368b1c4", "sha": "1faf58d4bcbb034e69dd5722ce91ad9432243972", "translated_description": "", "image_url": "https://img.youtube.com/vi/D_smr0GBPvA/hqdefault.jpg", "youtube_id": "D_smr0GBPvA", "content_kind": "Video", "readable_id": "double-angle-formula-for-cosine-example-c"}], "twitter_url": "", "translated_description": "If you're starting to sense that there may be more to trig functions than meet the eye, you are sensing right. In this tutorial you'll discover exciting and beautiful and elegant and hilarious relationships between our favorite trig functions (and maybe a few that we don't particularly like).\n\nWarning: Many of these videos are the old, rougher Sal with the cheap equipment!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you're starting to sense that there may be more to trig functions than meet the eye, you are sensing right. In this tutorial you'll discover exciting and beautiful and elegant and hilarious relationships between our favorite trig functions (and maybe a few that we don't particularly like).\n\nWarning: Many of these videos are the old, rougher Sal with the cheap equipment!", "x_pos": 0.0, "node_slug": "trig_iden_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97f8ef15", "topic_page_url": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial", "extended_slug": "math/trigonometry/less-basic-trigonometry/trig_iden_tutorial", "slug": "trig_iden_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d5e6a52da97eb25f0b3c5c2fd69091b832b333c3", "standalone_title": "Trig identities", "y_pos": 0.0, "current_revision_key": "d5e6a52da97eb25f0b3c5c2fd69091b832b333c3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/less-basic-trigonometry/more-trig-examples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples", "translated_standalone_title": "More trig examples", "translated_title": "More trig examples", "gplus_url": "", "id": "xced61f24", "old_key_name": "kqquEn3543shIvZgXoXMqt-MhVruGzXWwdjLvuNN", "hide": false, "title": "More trig examples", "child_data": [{"kind": "Video", "id": 26256}, {"kind": "Video", "id": 26264}, {"kind": "Video", "id": 8187432}, {"kind": "Video", "id": 8187460}, {"kind": "Video", "id": 8187459}, {"kind": "Video", "id": 8187470}, {"kind": "Video", "id": 13179281}, {"kind": "Video", "id": 13179282}, {"kind": "Video", "id": 26250}, {"kind": "Video", "id": 26252}, {"kind": "Video", "id": 26260}, {"kind": "Video", "id": 26262}], "children": [{"translated_youtube_id": "XTWZ_M8d-4g", "relative_url": "/video/navigation-word-problem", "has_questions": false, "keywords": "Trigonometry, sin, navigation, ships", "ka_url": "http://www.khanacademy.org/video/navigation-word-problem", "duration": 480, "translated_title": "Navigation word problem", "translated_description_html": "Trigonometry problem involving two ships colliding.", "id": "26256", "description_html": "Trigonometry problem involving two ships colliding.", "title": "Navigation word problem", "progress_key": "v26256", "edit_slug": "edit/v/26256", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Trigonometry problem involving two ships colliding.", "extra_properties": null, "node_slug": "v/navigation-word-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XTWZ_M8d-4g.mp4/XTWZ_M8d-4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XTWZ_M8d-4g.mp4/XTWZ_M8d-4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XTWZ_M8d-4g.m3u8/XTWZ_M8d-4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XTWZ_M8d-4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26256", "sha": "1278437d61f5ac8d9cb5a487a25c0e88837e6deb", "translated_description": "Trigonometry problem involving two ships colliding.", "image_url": "https://img.youtube.com/vi/XTWZ_M8d-4g/hqdefault.jpg", "youtube_id": "XTWZ_M8d-4g", "content_kind": "Video", "readable_id": "navigation-word-problem"}, {"translated_youtube_id": "itpI12TeNIg", "relative_url": "/video/fun-trig-problem", "has_questions": false, "keywords": "trigonometry, quadratic, CC_39336_A-REI_4", "ka_url": "http://www.khanacademy.org/video/fun-trig-problem", "duration": 601, "translated_title": "Fun trig problem", "translated_description_html": "A trig problem involving the quadratic equation.", "id": "26264", "description_html": "A trig problem involving the quadratic equation.", "title": "Fun trig problem", "progress_key": "v26264", "edit_slug": "edit/v/26264", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A trig problem involving the quadratic equation.", "extra_properties": null, "node_slug": "v/fun-trig-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/itpI12TeNIg.mp4/itpI12TeNIg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itpI12TeNIg.mp4/itpI12TeNIg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/itpI12TeNIg.m3u8/itpI12TeNIg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=itpI12TeNIg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26264", "sha": "d6d270817583dfc600a2d32367648f84605331f6", "translated_description": "A trig problem involving the quadratic equation.", "image_url": "https://img.youtube.com/vi/itpI12TeNIg/hqdefault.jpg", "youtube_id": "itpI12TeNIg", "content_kind": "Video", "readable_id": "fun-trig-problem"}, {"translated_youtube_id": "X7GT9JKoAbo", "relative_url": "/video/iit-jee-trigonometry-problem-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Trigonometry, law, of, sines, cosines", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometry-problem-1", "duration": 913, "translated_title": "IIT JEE trigonometry problem 1", "translated_description_html": "2010 IIT JEE Paper I #29 Trigonometry problem", "id": "8187432", "description_html": "2010 IIT JEE Paper I #29 Trigonometry problem", "title": "IIT JEE trigonometry problem 1", "progress_key": "v8187432", "edit_slug": "edit/v/8187432", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper I #29 Trigonometry problem", "extra_properties": null, "node_slug": "v/iit-jee-trigonometry-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:45:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.mp4/X7GT9JKoAbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.mp4/X7GT9JKoAbo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.m3u8/X7GT9JKoAbo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X7GT9JKoAbo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187432", "sha": "244322bf10bf7de094450f01115d60c3fb8ea9b5", "translated_description": "2010 IIT JEE Paper I #29 Trigonometry problem", "image_url": "https://img.youtube.com/vi/X7GT9JKoAbo/hqdefault.jpg", "youtube_id": "X7GT9JKoAbo", "content_kind": "Video", "readable_id": "iit-jee-trigonometry-problem-1"}, {"translated_youtube_id": "tzR9jUCSniQ", "relative_url": "/video/iit-jee-trigonometric-maximum", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 48, Trigonometric, Maximum", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometric-maximum", "duration": 594, "translated_title": "IIT JEE trigonometric maximum", "translated_description_html": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "id": "8187460", "description_html": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "title": "IIT JEE trigonometric maximum", "progress_key": "v8187460", "edit_slug": "edit/v/8187460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "extra_properties": null, "node_slug": "v/iit-jee-trigonometric-maximum", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.mp4/tzR9jUCSniQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.mp4/tzR9jUCSniQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.m3u8/tzR9jUCSniQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tzR9jUCSniQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187460", "sha": "6574e7c445b4d4451a85927fb78667244dd08095", "translated_description": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "image_url": "https://img.youtube.com/vi/tzR9jUCSniQ/hqdefault.jpg", "youtube_id": "tzR9jUCSniQ", "content_kind": "Video", "readable_id": "iit-jee-trigonometric-maximum"}, {"translated_youtube_id": "EjtjdJZ2x8w", "relative_url": "/video/iit-jee-trigonometric-constraints", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 47, Trigonometric, Constraints", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometric-constraints", "duration": 769, "translated_title": "IIT JEE trigonometric constraints", "translated_description_html": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "id": "8187459", "description_html": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "title": "IIT JEE trigonometric constraints", "progress_key": "v8187459", "edit_slug": "edit/v/8187459", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "extra_properties": null, "node_slug": "v/iit-jee-trigonometric-constraints", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.mp4/EjtjdJZ2x8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.mp4/EjtjdJZ2x8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.m3u8/EjtjdJZ2x8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EjtjdJZ2x8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187459", "sha": "9cb3ed6c99d1d377309f16be6d6c51d5535cef32", "translated_description": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "image_url": "https://img.youtube.com/vi/EjtjdJZ2x8w/hqdefault.jpg", "youtube_id": "EjtjdJZ2x8w", "content_kind": "Video", "readable_id": "iit-jee-trigonometric-constraints"}, {"translated_youtube_id": "Y2ed-g8Lpdc", "relative_url": "/video/trigonometric-system-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 55, Trigonometric, System", "ka_url": "http://www.khanacademy.org/video/trigonometric-system-example", "duration": 662, "translated_title": "Trigonometric system example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "id": "8187470", "description_html": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "title": "Trigonometric system example", "progress_key": "v8187470", "edit_slug": "edit/v/8187470", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "extra_properties": null, "node_slug": "v/trigonometric-system-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.mp4/Y2ed-g8Lpdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.mp4/Y2ed-g8Lpdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.m3u8/Y2ed-g8Lpdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y2ed-g8Lpdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187470", "sha": "b7ba400a891d329480c499356ae3675843971d99", "translated_description": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "image_url": "https://img.youtube.com/vi/Y2ed-g8Lpdc/hqdefault.jpg", "youtube_id": "Y2ed-g8Lpdc", "content_kind": "Video", "readable_id": "trigonometric-system-example"}, {"translated_youtube_id": "smtrrefmC40", "relative_url": "/video/2003-aime-ii-problem-11-avi", "has_questions": false, "keywords": "law, of, cosines, trigonometry, area", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-11-avi", "duration": 995, "translated_title": "2003 AIME II problem 11", "translated_description_html": "A little trigonometry to figure out the area of a triangle", "id": "13179281", "description_html": "A little trigonometry to figure out the area of a triangle", "title": "2003 AIME II problem 11", "progress_key": "v13179281", "edit_slug": "edit/v/13179281", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A little trigonometry to figure out the area of a triangle", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-11-avi", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.mp4/smtrrefmC40.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.mp4/smtrrefmC40.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.m3u8/smtrrefmC40.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=smtrrefmC40&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179281", "sha": "de13ac2fca099c61093a4e6d52382a80bfd815f6", "translated_description": "A little trigonometry to figure out the area of a triangle", "image_url": "https://img.youtube.com/vi/smtrrefmC40/hqdefault.jpg", "youtube_id": "smtrrefmC40", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-11-avi"}, {"translated_youtube_id": "Ec-BKdC8vOo", "relative_url": "/video/2003-aime-ii-problem-14", "has_questions": false, "keywords": "trigonometry, parrallelogram, area", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-14", "duration": 1098, "translated_title": "2003 AIME II problem 14", "translated_description_html": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "id": "13179282", "description_html": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "title": "2003 AIME II problem 14", "progress_key": "v13179282", "edit_slug": "edit/v/13179282", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-14", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.mp4/Ec-BKdC8vOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.mp4/Ec-BKdC8vOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.m3u8/Ec-BKdC8vOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ec-BKdC8vOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179282", "sha": "95d0929b6004c84542a11278a04cec2052c8afce", "translated_description": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "image_url": "https://img.youtube.com/vi/Ec-BKdC8vOo/hqdefault.jpg", "youtube_id": "Ec-BKdC8vOo", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-14"}, {"translated_youtube_id": "1vamogV81Y8", "relative_url": "/video/trigonometry-word-problems--part-1", "has_questions": false, "keywords": "trigonometry, trig, math, angles, khan", "ka_url": "http://www.khanacademy.org/video/trigonometry-word-problems--part-1", "duration": 596, "translated_title": "Trigonometry word problems (part 1)", "translated_description_html": "The first part of a problem when the captain of a ship goes off track.", "id": "26250", "description_html": "The first part of a problem when the captain of a ship goes off track.", "title": "Trigonometry word problems (part 1)", "progress_key": "v26250", "edit_slug": "edit/v/26250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The first part of a problem when the captain of a ship goes off track.", "extra_properties": null, "node_slug": "v/trigonometry-word-problems--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1vamogV81Y8.mp4/1vamogV81Y8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1vamogV81Y8.mp4/1vamogV81Y8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1vamogV81Y8.m3u8/1vamogV81Y8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1vamogV81Y8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26250", "sha": "63546784c9a1d51a6129b41b18d84a34039dad87", "translated_description": "The first part of a problem when the captain of a ship goes off track.", "image_url": "https://img.youtube.com/vi/1vamogV81Y8/hqdefault.jpg", "youtube_id": "1vamogV81Y8", "content_kind": "Video", "readable_id": "trigonometry-word-problems--part-1"}, {"translated_youtube_id": "4CNnPgabrLE", "relative_url": "/video/trigonometry-word-problems--part-2", "has_questions": false, "keywords": "trigononometry, trig, word, problem, khan, math", "ka_url": "http://www.khanacademy.org/video/trigonometry-word-problems--part-2", "duration": 171, "translated_title": "Trigonometry word problems (part 2)", "translated_description_html": "The second part of the problem of the off-track ship captain", "id": "26252", "description_html": "The second part of the problem of the off-track ship captain", "title": "Trigonometry word problems (part 2)", "progress_key": "v26252", "edit_slug": "edit/v/26252", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The second part of the problem of the off-track ship captain", "extra_properties": null, "node_slug": "v/trigonometry-word-problems--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4CNnPgabrLE.mp4/4CNnPgabrLE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4CNnPgabrLE.mp4/4CNnPgabrLE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4CNnPgabrLE.m3u8/4CNnPgabrLE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4CNnPgabrLE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26252", "sha": "48bf82f77d3a1b93191c948069adc1e64aa12699", "translated_description": "The second part of the problem of the off-track ship captain", "image_url": "https://img.youtube.com/vi/4CNnPgabrLE/hqdefault.jpg", "youtube_id": "4CNnPgabrLE", "content_kind": "Video", "readable_id": "trigonometry-word-problems--part-2"}, {"translated_youtube_id": "clXSqjs1wgQ", "relative_url": "/video/ferris-wheel-trig-problem", "has_questions": false, "keywords": "Trigonometry, trig, rotation, cosine, cos", "ka_url": "http://www.khanacademy.org/video/ferris-wheel-trig-problem", "duration": 440, "translated_title": "Ferris wheel trig problem", "translated_description_html": "Trigonometry problems dealing with the height of two people on a ferris wheen", "id": "26260", "description_html": "Trigonometry problems dealing with the height of two people on a ferris wheen", "title": "Ferris wheel trig problem", "progress_key": "v26260", "edit_slug": "edit/v/26260", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Trigonometry problems dealing with the height of two people on a ferris wheen", "extra_properties": null, "node_slug": "v/ferris-wheel-trig-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/clXSqjs1wgQ.mp4/clXSqjs1wgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/clXSqjs1wgQ.mp4/clXSqjs1wgQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/clXSqjs1wgQ.m3u8/clXSqjs1wgQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=clXSqjs1wgQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26260", "sha": "8ff244228d4273461bd868f302af576b9b1b3dcf", "translated_description": "Trigonometry problems dealing with the height of two people on a ferris wheen", "image_url": "https://img.youtube.com/vi/clXSqjs1wgQ/hqdefault.jpg", "youtube_id": "clXSqjs1wgQ", "content_kind": "Video", "readable_id": "ferris-wheel-trig-problem"}, {"translated_youtube_id": "_Kw4hLGMkm4", "relative_url": "/video/ferris-wheel-trig-problem--part-2", "has_questions": false, "keywords": "Trig, Trigonometry, graph, graphing, cos, cosine", "ka_url": "http://www.khanacademy.org/video/ferris-wheel-trig-problem--part-2", "duration": 547, "translated_title": "Ferris wheel trig problem (part 2)", "translated_description_html": "Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t)", "id": "26262", "description_html": "Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t)", "title": "Ferris wheel trig problem (part 2)", "progress_key": "v26262", "edit_slug": "edit/v/26262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t)", "extra_properties": null, "node_slug": "v/ferris-wheel-trig-problem--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_Kw4hLGMkm4.mp4/_Kw4hLGMkm4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_Kw4hLGMkm4.mp4/_Kw4hLGMkm4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_Kw4hLGMkm4.m3u8/_Kw4hLGMkm4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_Kw4hLGMkm4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26262", "sha": "0639f43e48c69a275146f6441340d171c6c26fc0", "translated_description": "Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t)", "image_url": "https://img.youtube.com/vi/_Kw4hLGMkm4/hqdefault.jpg", "youtube_id": "_Kw4hLGMkm4", "content_kind": "Video", "readable_id": "ferris-wheel-trig-problem--part-2"}], "twitter_url": "", "translated_description": "This tutorial is a catch-all for a bunch of things that we haven't been able (for lack of time or ability) to categorize into other tutorials :(", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is a catch-all for a bunch of things that we haven't been able (for lack of time or ability) to categorize into other tutorials :(", "x_pos": 0.0, "node_slug": "more-trig-examples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axced61f24", "topic_page_url": "/math/trigonometry/less-basic-trigonometry/more-trig-examples", "extended_slug": "math/trigonometry/less-basic-trigonometry/more-trig-examples", "slug": "more-trig-examples", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "23147e005da83520a31f94f2c55dcca932ca946a", "standalone_title": "More trig examples", "y_pos": 0.0, "current_revision_key": "23147e005da83520a31f94f2c55dcca932ca946a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/less-basic-trigonometry/law-sines-cosines", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines", "translated_standalone_title": "Law of cosines and law of sines", "translated_title": "Law of cosines and law of sines", "gplus_url": "", "id": "x3c0c78e3", "old_key_name": null, "hide": false, "title": "Law of cosines and law of sines", "child_data": [{"kind": "Video", "id": "x17ddf742"}, {"kind": "Video", "id": 26254}, {"kind": "Exercise", "id": 1080800905}, {"kind": "Video", "id": 26258}, {"kind": "Exercise", "id": 1080931108}], "children": [{"translated_youtube_id": "ZElOxG7_m3c", "relative_url": "/video/law-of-cosines-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/law-of-cosines-example", "duration": 278, "translated_title": "Law of cosines example", "translated_description_html": "", "id": "x17ddf742", "description_html": "", "title": "Law of cosines example", "progress_key": "vx17ddf742", "edit_slug": "edit/v/x17ddf742", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/law-of-cosines-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-06T19:14:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZElOxG7_m3c.mp4/ZElOxG7_m3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZElOxG7_m3c.mp4/ZElOxG7_m3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZElOxG7_m3c.m3u8/ZElOxG7_m3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZElOxG7_m3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx17ddf742", "sha": "371c3bead8b44b233ec7f428f515c6f6098a951d", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZElOxG7_m3c/hqdefault.jpg", "youtube_id": "ZElOxG7_m3c", "content_kind": "Video", "readable_id": "law-of-cosines-example"}, {"translated_youtube_id": "pGaDcOMdw48", "relative_url": "/video/law-of-cosines", "has_questions": false, "keywords": "trigonometry, math, law, of, cosines", "ka_url": "http://www.khanacademy.org/video/law-of-cosines", "duration": 566, "translated_title": "Proof of the law of cosines", "translated_description_html": "

Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.<\/p>\n", "id": "26254", "description_html": "

Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.<\/p>\n", "title": "Proof of the law of cosines", "progress_key": "v26254", "edit_slug": "edit/v/26254", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/law-of-cosines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pGaDcOMdw48.mp4/pGaDcOMdw48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pGaDcOMdw48.mp4/pGaDcOMdw48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pGaDcOMdw48.m3u8/pGaDcOMdw48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pGaDcOMdw48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26254", "sha": "059f8774b45d24633a53ae97080a449a26429884", "translated_description": "Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.\n", "image_url": "https://img.youtube.com/vi/pGaDcOMdw48/hqdefault.jpg", "youtube_id": "pGaDcOMdw48", "content_kind": "Video", "readable_id": "law-of-cosines"}, {"translated_youtube_id": "APNkWrD-U1k", "relative_url": "/video/proof--law-of-sines", "has_questions": false, "keywords": "law, of, sines, trigonometry, sin, cos, hypotenuse", "ka_url": "http://www.khanacademy.org/video/proof--law-of-sines", "duration": 392, "translated_title": "Proof: Law of sines", "translated_description_html": "A simple proof of the Law of Sines", "id": "26258", "description_html": "A simple proof of the Law of Sines", "title": "Proof: Law of sines", "progress_key": "v26258", "edit_slug": "edit/v/26258", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A simple proof of the Law of Sines", "extra_properties": null, "node_slug": "v/proof--law-of-sines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/APNkWrD-U1k.mp4/APNkWrD-U1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/APNkWrD-U1k.mp4/APNkWrD-U1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/APNkWrD-U1k.m3u8/APNkWrD-U1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=APNkWrD-U1k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26258", "sha": "a4eb7b82f2e523f6a77d935fb27bb9ab43a27203", "translated_description": "A simple proof of the Law of Sines", "image_url": "https://img.youtube.com/vi/APNkWrD-U1k/hqdefault.jpg", "youtube_id": "APNkWrD-U1k", "content_kind": "Video", "readable_id": "proof--law-of-sines"}], "twitter_url": "", "translated_description": "The primary tool that we've had to find the length of a side of a triangle given the other two sides has been the Pythagorean theorem, but that only applies to right triangles. In this tutorial, we'll extend this triangle-side-length toolkit with the law of cosines and the law of sines. Using these tool, given information about side lengths and angles, we can figure out things about even non-right triangles that you may have thought weren't even possible!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The primary tool that we've had to find the length of a side of a triangle given the other two sides has been the Pythagorean theorem, but that only applies to right triangles. In this tutorial, we'll extend this triangle-side-length toolkit with the law of cosines and the law of sines. Using these tool, given information about side lengths and angles, we can figure out things about even non-right triangles that you may have thought weren't even possible!", "x_pos": 0.0, "node_slug": "law-sines-cosines", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3c0c78e3", "topic_page_url": "/math/trigonometry/less-basic-trigonometry/law-sines-cosines", "extended_slug": "math/trigonometry/less-basic-trigonometry/law-sines-cosines", "slug": "law-sines-cosines", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a6fc406285e6d9dab5918302ed21d63096083751", "standalone_title": "Law of cosines and law of sines", "y_pos": 0.0, "current_revision_key": "a6fc406285e6d9dab5918302ed21d63096083751", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "less-basic-trigonometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T18:32:59Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6c759222", "topic_page_url": "/math/trigonometry/less-basic-trigonometry", "extended_slug": "math/trigonometry/less-basic-trigonometry", "slug": "less-basic-trigonometry", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "811586228f66351529a65962910e5114d87d6d36", "standalone_title": "Trig identities and examples", "y_pos": 0.0, "current_revision_key": "811586228f66351529a65962910e5114d87d6d36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/parametric_equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/parametric_equations", "translated_standalone_title": "Parametric equations and polar coordinates", "translated_title": "Parametric equations and polar coordinates", "gplus_url": "", "id": "x2f0599c0", "old_key_name": "sbWmyB-SXlloTUX2knt26Y7s1qZQMAdVd6s0WBvo", "hide": false, "title": "Parametric equations and polar coordinates", "child_data": [{"kind": "Topic", "id": "x7cd36062"}, {"kind": "Topic", "id": "x957b6743"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/parametric_equations/parametric", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/parametric_equations/parametric", "translated_standalone_title": "Parametric equations", "translated_title": "Parametric equations", "gplus_url": "", "id": "x7cd36062", "old_key_name": "KNfkf6AgdPMCCPVnj24h-XZq4hqkH2i2nfGAWXzA", "hide": false, "title": "Parametric equations", "child_data": [{"kind": "Video", "id": 25825}, {"kind": "Video", "id": 25827}, {"kind": "Video", "id": 25829}, {"kind": "Video", "id": 25831}], "children": [{"translated_youtube_id": "m6c6dlmUT1c", "relative_url": "/video/parametric-equations-1", "has_questions": false, "keywords": "parametric, equation, physics, CC_39336_A-CED_2, CC_39336_F-BF_1_c, CC_39336_F-IF_4, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/parametric-equations-1", "duration": 668, "translated_title": "Parametric equations 1", "translated_description_html": "Introduction to parametric equations", "id": "25825", "description_html": "Introduction to parametric equations", "title": "Parametric equations 1", "progress_key": "v25825", "edit_slug": "edit/v/25825", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to parametric equations", "extra_properties": null, "node_slug": "v/parametric-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m6c6dlmUT1c.mp4/m6c6dlmUT1c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m6c6dlmUT1c.mp4/m6c6dlmUT1c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m6c6dlmUT1c.m3u8/m6c6dlmUT1c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m6c6dlmUT1c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25825", "sha": "64aaf1cba70e972447e93cd278fb06cc5e0079d3", "translated_description": "Introduction to parametric equations", "image_url": "https://img.youtube.com/vi/m6c6dlmUT1c/hqdefault.jpg", "youtube_id": "m6c6dlmUT1c", "content_kind": "Video", "readable_id": "parametric-equations-1"}, {"translated_youtube_id": "wToSIQJ2o_8", "relative_url": "/video/parametric-equations-2", "has_questions": false, "keywords": "parametric, equation, physics, CC_39336_F-BF_1_c", "ka_url": "http://www.khanacademy.org/video/parametric-equations-2", "duration": 585, "translated_title": "Parametric equations 2", "translated_description_html": "Eliminating the parameter", "id": "25827", "description_html": "Eliminating the parameter", "title": "Parametric equations 2", "progress_key": "v25827", "edit_slug": "edit/v/25827", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Eliminating the parameter", "extra_properties": null, "node_slug": "v/parametric-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wToSIQJ2o_8.mp4/wToSIQJ2o_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wToSIQJ2o_8.mp4/wToSIQJ2o_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wToSIQJ2o_8.m3u8/wToSIQJ2o_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wToSIQJ2o_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25827", "sha": "a5b937e8818113ad462491aa0a4c919a8e5321c4", "translated_description": "Eliminating the parameter", "image_url": "https://img.youtube.com/vi/wToSIQJ2o_8/hqdefault.jpg", "youtube_id": "wToSIQJ2o_8", "content_kind": "Video", "readable_id": "parametric-equations-2"}, {"translated_youtube_id": "57BiI_iD3-U", "relative_url": "/video/parametric-equations-3", "has_questions": false, "keywords": "parametric, equation, ellipse, CC_39336_F-BF_1_c", "ka_url": "http://www.khanacademy.org/video/parametric-equations-3", "duration": 772, "translated_title": "Parametric equations 3", "translated_description_html": "Removing the parameter from a more interesting example", "id": "25829", "description_html": "Removing the parameter from a more interesting example", "title": "Parametric equations 3", "progress_key": "v25829", "edit_slug": "edit/v/25829", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Removing the parameter from a more interesting example", "extra_properties": null, "node_slug": "v/parametric-equations-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/57BiI_iD3-U.mp4/57BiI_iD3-U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/57BiI_iD3-U.mp4/57BiI_iD3-U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/57BiI_iD3-U.m3u8/57BiI_iD3-U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=57BiI_iD3-U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25829", "sha": "e4dc3860221a23aafd328cd0630bc772ae1525ac", "translated_description": "Removing the parameter from a more interesting example", "image_url": "https://img.youtube.com/vi/57BiI_iD3-U/hqdefault.jpg", "youtube_id": "57BiI_iD3-U", "content_kind": "Video", "readable_id": "parametric-equations-3"}, {"translated_youtube_id": "IReD6c_njOY", "relative_url": "/video/parametric-equations-4", "has_questions": false, "keywords": "parametric, equations", "ka_url": "http://www.khanacademy.org/video/parametric-equations-4", "duration": 784, "translated_title": "Parametric equations 4", "translated_description_html": "Parametric Equations that \"move\" along the same path", "id": "25831", "description_html": "Parametric Equations that \"move\" along the same path", "title": "Parametric equations 4", "progress_key": "v25831", "edit_slug": "edit/v/25831", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parametric Equations that \"move\" along the same path", "extra_properties": null, "node_slug": "v/parametric-equations-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IReD6c_njOY.mp4/IReD6c_njOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IReD6c_njOY.mp4/IReD6c_njOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IReD6c_njOY.m3u8/IReD6c_njOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IReD6c_njOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25831", "sha": "9122c4d5b3ad31dd8b2ad139ca9cb17cb7a63fab", "translated_description": "Parametric Equations that \"move\" along the same path", "image_url": "https://img.youtube.com/vi/IReD6c_njOY/hqdefault.jpg", "youtube_id": "IReD6c_njOY", "content_kind": "Video", "readable_id": "parametric-equations-4"}], "twitter_url": "", "translated_description": "Here we will explore representing our x's and y's in terms of a third variable or parameter (often 't'). Not only can we describe new things, but it can be super useful for describing things like particle motion in physics.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Here we will explore representing our x's and y's in terms of a third variable or parameter (often 't'). Not only can we describe new things, but it can be super useful for describing things like particle motion in physics.", "x_pos": 0.0, "node_slug": "parametric", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7cd36062", "topic_page_url": "/math/trigonometry/parametric_equations/parametric", "extended_slug": "math/trigonometry/parametric_equations/parametric", "slug": "parametric", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f5b98921c9a59fc4536fa034197a45cb6ea5d719", "standalone_title": "Parametric equations", "y_pos": 0.0, "current_revision_key": "f5b98921c9a59fc4536fa034197a45cb6ea5d719", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/parametric_equations/polar_coor", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/parametric_equations/polar_coor", "translated_standalone_title": "Polar coordinates", "translated_title": "Polar coordinates", "gplus_url": "", "id": "x957b6743", "old_key_name": "IfykWSEHChwwgqUAQdxPruVhmUTSmR59W3RDZHxR", "hide": false, "title": "Polar coordinates", "child_data": [{"kind": "Video", "id": 25819}, {"kind": "Video", "id": 25821}, {"kind": "Video", "id": 25823}], "children": [{"translated_youtube_id": "jexMSlSDubM", "relative_url": "/video/polar-coordinates-1", "has_questions": false, "keywords": "polar, cartesian, coordinates, CC_8_G_8, CC_39336_F-BF_4", "ka_url": "http://www.khanacademy.org/video/polar-coordinates-1", "duration": 620, "translated_title": "Polar coordinates 1", "translated_description_html": "Introduction to polar coordinates", "id": "25819", "description_html": "Introduction to polar coordinates", "title": "Polar coordinates 1", "progress_key": "v25819", "edit_slug": "edit/v/25819", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to polar coordinates", "extra_properties": null, "node_slug": "v/polar-coordinates-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jexMSlSDubM.mp4/jexMSlSDubM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jexMSlSDubM.mp4/jexMSlSDubM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jexMSlSDubM.m3u8/jexMSlSDubM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jexMSlSDubM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25819", "sha": "ad5decfe480eb5068fe2b1c196a40b2fb20323d4", "translated_description": "Introduction to polar coordinates", "image_url": "https://img.youtube.com/vi/jexMSlSDubM/hqdefault.jpg", "youtube_id": "jexMSlSDubM", "content_kind": "Video", "readable_id": "polar-coordinates-1"}, {"translated_youtube_id": "zGpbSGj_vfE", "relative_url": "/video/polar-coordinates-2", "has_questions": false, "keywords": "cartesian, polar, coordinates, CC_8_G_8", "ka_url": "http://www.khanacademy.org/video/polar-coordinates-2", "duration": 571, "translated_title": "Polar coordinates 2", "translated_description_html": "Conversion from Cartesian to Polar Coordinates", "id": "25821", "description_html": "Conversion from Cartesian to Polar Coordinates", "title": "Polar coordinates 2", "progress_key": "v25821", "edit_slug": "edit/v/25821", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conversion from Cartesian to Polar Coordinates", "extra_properties": null, "node_slug": "v/polar-coordinates-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zGpbSGj_vfE.mp4/zGpbSGj_vfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zGpbSGj_vfE.mp4/zGpbSGj_vfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zGpbSGj_vfE.m3u8/zGpbSGj_vfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zGpbSGj_vfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25821", "sha": "eff77af4d5efce5b2878b926f5dcc05d43be82be", "translated_description": "Conversion from Cartesian to Polar Coordinates", "image_url": "https://img.youtube.com/vi/zGpbSGj_vfE/hqdefault.jpg", "youtube_id": "zGpbSGj_vfE", "content_kind": "Video", "readable_id": "polar-coordinates-2"}, {"translated_youtube_id": "9iqN12hCn10", "relative_url": "/video/polar-coordinates-3", "has_questions": false, "keywords": "Cartersian, Polar, Coordinates", "ka_url": "http://www.khanacademy.org/video/polar-coordinates-3", "duration": 457, "translated_title": "Polar coordinates 3", "translated_description_html": "Converting between Cartesian and Polar functions", "id": "25823", "description_html": "Converting between Cartesian and Polar functions", "title": "Polar coordinates 3", "progress_key": "v25823", "edit_slug": "edit/v/25823", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Converting between Cartesian and Polar functions", "extra_properties": null, "node_slug": "v/polar-coordinates-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:51:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9iqN12hCn10.mp4/9iqN12hCn10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9iqN12hCn10.mp4/9iqN12hCn10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9iqN12hCn10.m3u8/9iqN12hCn10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9iqN12hCn10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25823", "sha": "70d6ea8dcf9be9255b3c018debe03810537c75d9", "translated_description": "Converting between Cartesian and Polar functions", "image_url": "https://img.youtube.com/vi/9iqN12hCn10/hqdefault.jpg", "youtube_id": "9iqN12hCn10", "content_kind": "Video", "readable_id": "polar-coordinates-3"}], "twitter_url": "", "translated_description": "Feel that Cartesian coordinates are too \"square\". That they bias us towards lines and away from cool spirally things. Well polar coordinates be just what you need!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Feel that Cartesian coordinates are too \"square\". That they bias us towards lines and away from cool spirally things. Well polar coordinates be just what you need!", "x_pos": 0.0, "node_slug": "polar_coor", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax957b6743", "topic_page_url": "/math/trigonometry/parametric_equations/polar_coor", "extended_slug": "math/trigonometry/parametric_equations/polar_coor", "slug": "polar_coor", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d113433647baedce4ba76fce23d83570a98a9591", "standalone_title": "Polar coordinates", "y_pos": 0.0, "current_revision_key": "d113433647baedce4ba76fce23d83570a98a9591", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "An alternative to Cartesian coordinates.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "An alternative to Cartesian coordinates.", "x_pos": 0.0, "node_slug": "parametric_equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2f0599c0", "topic_page_url": "/math/trigonometry/parametric_equations", "extended_slug": "math/trigonometry/parametric_equations", "slug": "parametric_equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1e2650f7a9ff393bd63f3cbf06ca72697223b26c", "standalone_title": "Parametric equations and polar coordinates", "y_pos": 0.0, "current_revision_key": "1e2650f7a9ff393bd63f3cbf06ca72697223b26c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc", "translated_standalone_title": "Conic sections", "translated_title": "Conic sections", "gplus_url": "", "id": "xb61c639c", "old_key_name": "MsJQdpiM4Ij3-2PvUiVSQtTe9VfTHCD-l1Yx75Ut", "hide": false, "title": "Conic sections", "child_data": [{"kind": "Topic", "id": "x2bb70a03"}, {"kind": "Topic", "id": "xa18dedac"}, {"kind": "Topic", "id": "xecf1aaff"}, {"kind": "Topic", "id": "xca430dfa"}, {"kind": "Topic", "id": "xfeacc6d7"}, {"kind": "Topic", "id": "x9f792397"}, {"kind": "Topic", "id": "x24211e68"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/conic_section_intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/conic_section_intro", "translated_standalone_title": "Conic section basics", "translated_title": "Conic section basics", "gplus_url": "", "id": "x2bb70a03", "old_key_name": "ZWyzbK4_HwiD4edOvZhnxJl1z5pViHGG21saMAqI", "hide": false, "title": "Conic section basics", "child_data": [{"kind": "Video", "id": 23522}, {"kind": "Exercise", "id": 213271375}], "children": [{"translated_youtube_id": "0A7RR0oy2ho", "relative_url": "/video/introduction-to-conic-sections", "has_questions": false, "keywords": "algebra, conic, sections, parabola, circle, ellipse, hyperbola", "ka_url": "http://www.khanacademy.org/video/introduction-to-conic-sections", "duration": 658, "translated_title": "Introduction to conic sections", "translated_description_html": "What are conic sections and why are they called \"conic sections\"?", "id": "23522", "description_html": "What are conic sections and why are they called \"conic sections\"?", "title": "Introduction to conic sections", "progress_key": "v23522", "edit_slug": "edit/v/23522", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What are conic sections and why are they called \"conic sections\"?", "extra_properties": null, "node_slug": "v/introduction-to-conic-sections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.mp4/0A7RR0oy2ho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.mp4/0A7RR0oy2ho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0A7RR0oy2ho.m3u8/0A7RR0oy2ho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0A7RR0oy2ho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23522", "sha": "ddcbab5263fdb3b16e197d5e6cbacfb876df9979", "translated_description": "What are conic sections and why are they called \"conic sections\"?", "image_url": "https://img.youtube.com/vi/0A7RR0oy2ho/hqdefault.jpg", "youtube_id": "0A7RR0oy2ho", "content_kind": "Video", "readable_id": "introduction-to-conic-sections"}], "twitter_url": "", "translated_description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", "x_pos": 0.0, "node_slug": "conic_section_intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2bb70a03", "topic_page_url": "/math/trigonometry/conics_precalc/conic_section_intro", "extended_slug": "math/trigonometry/conics_precalc/conic_section_intro", "slug": "conic_section_intro", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "102287e295330eb2cc484608449627e0feb19565", "standalone_title": "Conic section basics", "y_pos": 0.0, "current_revision_key": "102287e295330eb2cc484608449627e0feb19565", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/circles-tutorial-precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/circles-tutorial-precalc", "translated_standalone_title": "Circles", "translated_title": "Circles", "gplus_url": "", "id": "xa18dedac", "old_key_name": "O1e0NII0HHffLS6lq1cwUVCZSVzVvsMMVcHPqDqo", "hide": false, "title": "Circles", "child_data": [{"kind": "Video", "id": "xca06c2ed"}, {"kind": "Exercise", "id": 196139891}, {"kind": "Video", "id": 23524}, {"kind": "Exercise", "id": 1080859355}, {"kind": "Exercise", "id": 196157133}, {"kind": "Exercise", "id": 1080890293}], "children": [{"translated_youtube_id": "JvDpYlyKkNU", "relative_url": "/video/radius-and-center-for-a-circle-equation-in-standard-form", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/radius-and-center-for-a-circle-equation-in-standard-form", "duration": 231, "translated_title": "Radius and center for a circle equation in standard form", "translated_description_html": "", "id": "xca06c2ed", "description_html": "", "title": "Radius and center for a circle equation in standard form", "progress_key": "vxca06c2ed", "edit_slug": "edit/v/xca06c2ed", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/radius-and-center-for-a-circle-equation-in-standard-form", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-15T01:32:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JvDpYlyKkNU.mp4/JvDpYlyKkNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JvDpYlyKkNU.mp4/JvDpYlyKkNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JvDpYlyKkNU.m3u8/JvDpYlyKkNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JvDpYlyKkNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxca06c2ed", "sha": "0d004607c59668cc7b0eef2e08e6149bb8d0b541", "translated_description": "", "image_url": "https://img.youtube.com/vi/JvDpYlyKkNU/hqdefault.jpg", "youtube_id": "JvDpYlyKkNU", "content_kind": "Video", "readable_id": "radius-and-center-for-a-circle-equation-in-standard-form"}, {"translated_youtube_id": "6r1GQCxyMKI", "relative_url": "/video/conic-sections--intro-to-circles", "has_questions": false, "keywords": "conic, sections, circle, algebra", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-circles", "duration": 544, "translated_title": "Conic sections: Intro to circles", "translated_description_html": "Introduction to the Circle", "id": "23524", "description_html": "Introduction to the Circle", "title": "Conic sections: Intro to circles", "progress_key": "v23524", "edit_slug": "edit/v/23524", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Circle", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-circles", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.m3u8/6r1GQCxyMKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6r1GQCxyMKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23524", "sha": "74409fe19c814fd5165c92dc70b1db2ad09b4739", "translated_description": "Introduction to the Circle", "image_url": "https://img.youtube.com/vi/6r1GQCxyMKI/hqdefault.jpg", "youtube_id": "6r1GQCxyMKI", "content_kind": "Video", "readable_id": "conic-sections--intro-to-circles"}], "twitter_url": "", "translated_description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", "x_pos": 0.0, "node_slug": "circles-tutorial-precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T01:36:19Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa18dedac", "topic_page_url": "/math/trigonometry/conics_precalc/circles-tutorial-precalc", "extended_slug": "math/trigonometry/conics_precalc/circles-tutorial-precalc", "slug": "circles-tutorial-precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "19a09f6f71b061229aa50fb7adfcc56380b4fdf3", "standalone_title": "Circles", "y_pos": 0.0, "current_revision_key": "19a09f6f71b061229aa50fb7adfcc56380b4fdf3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/ellipses-precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/ellipses-precalc", "translated_standalone_title": "Ellipses", "translated_title": "Ellipses", "gplus_url": "", "id": "xecf1aaff", "old_key_name": "nK_lansu8PmCCkN9uriV3tNwXJLFTs1u2FDS7BVx", "hide": false, "title": "Ellipses", "child_data": [{"kind": "Video", "id": 23526}, {"kind": "Exercise", "id": 213284163}, {"kind": "Video", "id": 23540}], "children": [{"translated_youtube_id": "lvAYFUIEpFI", "relative_url": "/video/conic-sections--intro-to-ellipses", "has_questions": false, "keywords": "ellipse, conic, section", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-ellipses", "duration": 854, "translated_title": "Conic sections: Intro to ellipses", "translated_description_html": "Introduction to the ellipse.", "id": "23526", "description_html": "Introduction to the ellipse.", "title": "Conic sections: Intro to ellipses", "progress_key": "v23526", "edit_slug": "edit/v/23526", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the ellipse.", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-ellipses", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.m3u8/lvAYFUIEpFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lvAYFUIEpFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23526", "sha": "70e839103c700734e26c1e47a9b5b4b97dbf3c01", "translated_description": "Introduction to the ellipse.", "image_url": "https://img.youtube.com/vi/lvAYFUIEpFI/hqdefault.jpg", "youtube_id": "lvAYFUIEpFI", "content_kind": "Video", "readable_id": "conic-sections--intro-to-ellipses"}, {"translated_youtube_id": "QR2vxfwiHAU", "relative_url": "/video/foci-of-an-ellipse", "has_questions": false, "keywords": "foci, focus, ellipse, conic, section", "ka_url": "http://www.khanacademy.org/video/foci-of-an-ellipse", "duration": 829, "translated_title": "Foci of an ellipse", "translated_description_html": "Calculating the foci (or focuses) of an Ellipse.", "id": "23540", "description_html": "Calculating the foci (or focuses) of an Ellipse.", "title": "Foci of an ellipse", "progress_key": "v23540", "edit_slug": "edit/v/23540", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the foci (or focuses) of an Ellipse.", "extra_properties": null, "node_slug": "v/foci-of-an-ellipse", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.mp4/QR2vxfwiHAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.mp4/QR2vxfwiHAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QR2vxfwiHAU.m3u8/QR2vxfwiHAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QR2vxfwiHAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23540", "sha": "960847aa04f87016079781b185f1b3dec58f7aa0", "translated_description": "Calculating the foci (or focuses) of an Ellipse.", "image_url": "https://img.youtube.com/vi/QR2vxfwiHAU/hqdefault.jpg", "youtube_id": "QR2vxfwiHAU", "content_kind": "Video", "readable_id": "foci-of-an-ellipse"}], "twitter_url": "", "translated_description": "What would you call a circle that isn't a circle? One that is is is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What would you call a circle that isn't a circle? One that is is is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", "x_pos": 0.0, "node_slug": "ellipses-precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axecf1aaff", "topic_page_url": "/math/trigonometry/conics_precalc/ellipses-precalc", "extended_slug": "math/trigonometry/conics_precalc/ellipses-precalc", "slug": "ellipses-precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "147a5debb2f9afb05680a712473fe3ca3e5d9576", "standalone_title": "Ellipses", "y_pos": 0.0, "current_revision_key": "147a5debb2f9afb05680a712473fe3ca3e5d9576", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/parabolas_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/parabolas_precalc", "translated_standalone_title": "Parabolas", "translated_title": "Parabolas", "gplus_url": "", "id": "xca430dfa", "old_key_name": "ZEhlj_oUW-0-udBJampqqXqZGMj-mFFWgNaJKRF7", "hide": false, "title": "Parabolas", "child_data": [{"kind": "Video", "id": 23552}, {"kind": "Video", "id": 23554}, {"kind": "Exercise", "id": 257422323}, {"kind": "Exercise", "id": 257436637}, {"kind": "Exercise", "id": 310321303}], "children": [{"translated_youtube_id": "ZJf9shWlMz0", "relative_url": "/video/parabola-focus-and-directrix-1", "has_questions": false, "keywords": "parabola, focus, directrix, conic, section", "ka_url": "http://www.khanacademy.org/video/parabola-focus-and-directrix-1", "duration": 871, "translated_title": "Parabola focus and directrix 1", "translated_description_html": "Parabola as the locus of all points equidistant from a point and a line", "id": "23552", "description_html": "Parabola as the locus of all points equidistant from a point and a line", "title": "Parabola focus and directrix 1", "progress_key": "v23552", "edit_slug": "edit/v/23552", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola as the locus of all points equidistant from a point and a line", "extra_properties": null, "node_slug": "v/parabola-focus-and-directrix-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.m3u8/ZJf9shWlMz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZJf9shWlMz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23552", "sha": "38342ab4fb96e9957a4cf7c48362065871d5e91b", "translated_description": "Parabola as the locus of all points equidistant from a point and a line", "image_url": "https://img.youtube.com/vi/ZJf9shWlMz0/hqdefault.jpg", "youtube_id": "ZJf9shWlMz0", "content_kind": "Video", "readable_id": "parabola-focus-and-directrix-1"}, {"translated_youtube_id": "1Jm9rREA-uA", "relative_url": "/video/focus-and-directrix-of-a-parabola-2", "has_questions": false, "keywords": "focus, directrix, parabola, conic, section", "ka_url": "http://www.khanacademy.org/video/focus-and-directrix-of-a-parabola-2", "duration": 1108, "translated_title": "Focus and directrix of a parabola 2", "translated_description_html": "Finding the focus and directrix of a parabola", "id": "23554", "description_html": "Finding the focus and directrix of a parabola", "title": "Focus and directrix of a parabola 2", "progress_key": "v23554", "edit_slug": "edit/v/23554", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the focus and directrix of a parabola", "extra_properties": null, "node_slug": "v/focus-and-directrix-of-a-parabola-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.mp4/1Jm9rREA-uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Jm9rREA-uA.m3u8/1Jm9rREA-uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Jm9rREA-uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23554", "sha": "3b833f014f40adc8ad02a0d34632b72567f083d9", "translated_description": "Finding the focus and directrix of a parabola", "image_url": "https://img.youtube.com/vi/1Jm9rREA-uA/hqdefault.jpg", "youtube_id": "1Jm9rREA-uA", "content_kind": "Video", "readable_id": "focus-and-directrix-of-a-parabola-2"}], "twitter_url": "", "translated_description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", "x_pos": 0.0, "node_slug": "parabolas_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca430dfa", "topic_page_url": "/math/trigonometry/conics_precalc/parabolas_precalc", "extended_slug": "math/trigonometry/conics_precalc/parabolas_precalc", "slug": "parabolas_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "527237bd86fdab371295d07432c2138e70837d61", "standalone_title": "Parabolas", "y_pos": 0.0, "current_revision_key": "527237bd86fdab371295d07432c2138e70837d61", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/hyperbolas-precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/hyperbolas-precalc", "translated_standalone_title": "Hyperbolas", "translated_title": "Hyperbolas", "gplus_url": "", "id": "xfeacc6d7", "old_key_name": "k5bjhMEgE5grWT9AgeshSuS3geGvVXUmjDIochio", "hide": false, "title": "Hyperbolas", "child_data": [{"kind": "Video", "id": 23528}, {"kind": "Video", "id": 23530}, {"kind": "Video", "id": 23532}, {"kind": "Exercise", "id": 213250823}, {"kind": "Video", "id": 23542}, {"kind": "Video", "id": 23544}], "children": [{"translated_youtube_id": "pzSyOTkAsY4", "relative_url": "/video/conic-sections--intro-to-hyperbolas", "has_questions": false, "keywords": "hyperbola, conic, section, algebra", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-hyperbolas", "duration": 814, "translated_title": "Conic sections: Intro to hyperbolas", "translated_description_html": "Introduction to the hyperbola", "id": "23528", "description_html": "Introduction to the hyperbola", "title": "Conic sections: Intro to hyperbolas", "progress_key": "v23528", "edit_slug": "edit/v/23528", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the hyperbola", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-hyperbolas", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.mp4/pzSyOTkAsY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.mp4/pzSyOTkAsY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzSyOTkAsY4.m3u8/pzSyOTkAsY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzSyOTkAsY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23528", "sha": "8e08bb0a7c6e8ff967b100dabaffe7e103def165", "translated_description": "Introduction to the hyperbola", "image_url": "https://img.youtube.com/vi/pzSyOTkAsY4/hqdefault.jpg", "youtube_id": "pzSyOTkAsY4", "content_kind": "Video", "readable_id": "conic-sections--intro-to-hyperbolas"}, {"translated_youtube_id": "hl58vTCqVIY", "relative_url": "/video/conic-sections--hyperbolas-2", "has_questions": false, "keywords": "hyperbola, conic, section", "ka_url": "http://www.khanacademy.org/video/conic-sections--hyperbolas-2", "duration": 450, "translated_title": "Conic sections: Hyperbolas 2", "translated_description_html": "Continuation of the intro to hyperbolas", "id": "23530", "description_html": "Continuation of the intro to hyperbolas", "title": "Conic sections: Hyperbolas 2", "progress_key": "v23530", "edit_slug": "edit/v/23530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuation of the intro to hyperbolas", "extra_properties": null, "node_slug": "v/conic-sections--hyperbolas-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.mp4/hl58vTCqVIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.mp4/hl58vTCqVIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hl58vTCqVIY.m3u8/hl58vTCqVIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hl58vTCqVIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23530", "sha": "764758de43ac4a4b1855f2707f4602f6afa9c782", "translated_description": "Continuation of the intro to hyperbolas", "image_url": "https://img.youtube.com/vi/hl58vTCqVIY/hqdefault.jpg", "youtube_id": "hl58vTCqVIY", "content_kind": "Video", "readable_id": "conic-sections--hyperbolas-2"}, {"translated_youtube_id": "lGQw-W1PxBE", "relative_url": "/video/conic-sections--hyperbolas-3", "has_questions": false, "keywords": "conic, section, hyperbola", "ka_url": "http://www.khanacademy.org/video/conic-sections--hyperbolas-3", "duration": 629, "translated_title": "Conic sections: Hyperbolas 3", "translated_description_html": "Part 3 of the intro to hyperbolas", "id": "23532", "description_html": "Part 3 of the intro to hyperbolas", "title": "Conic sections: Hyperbolas 3", "progress_key": "v23532", "edit_slug": "edit/v/23532", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 3 of the intro to hyperbolas", "extra_properties": null, "node_slug": "v/conic-sections--hyperbolas-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.mp4/lGQw-W1PxBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.mp4/lGQw-W1PxBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lGQw-W1PxBE.m3u8/lGQw-W1PxBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lGQw-W1PxBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23532", "sha": "45432ab7d0aa2afbdcc2529646ac329a1b48eaa2", "translated_description": "Part 3 of the intro to hyperbolas", "image_url": "https://img.youtube.com/vi/lGQw-W1PxBE/hqdefault.jpg", "youtube_id": "lGQw-W1PxBE", "content_kind": "Video", "readable_id": "conic-sections--hyperbolas-3"}, {"translated_youtube_id": "S0Fd2Tg2v7M", "relative_url": "/video/foci-of-a-hyperbola", "has_questions": false, "keywords": "hyperbola, foci, focuses, conic", "ka_url": "http://www.khanacademy.org/video/foci-of-a-hyperbola", "duration": 924, "translated_title": "Foci of a hyperbola", "translated_description_html": "Introduction to the foci (focuses) of a hyperbola", "id": "23542", "description_html": "Introduction to the foci (focuses) of a hyperbola", "title": "Foci of a hyperbola", "progress_key": "v23542", "edit_slug": "edit/v/23542", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the foci (focuses) of a hyperbola", "extra_properties": null, "node_slug": "v/foci-of-a-hyperbola", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.mp4/S0Fd2Tg2v7M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.mp4/S0Fd2Tg2v7M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S0Fd2Tg2v7M.m3u8/S0Fd2Tg2v7M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S0Fd2Tg2v7M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23542", "sha": "26f4be139dff9185d08664d1f7cf328c732b801e", "translated_description": "Introduction to the foci (focuses) of a hyperbola", "image_url": "https://img.youtube.com/vi/S0Fd2Tg2v7M/hqdefault.jpg", "youtube_id": "S0Fd2Tg2v7M", "content_kind": "Video", "readable_id": "foci-of-a-hyperbola"}, {"translated_youtube_id": "HPRFmu7JsKU", "relative_url": "/video/proof--hyperbola-foci", "has_questions": false, "keywords": "hyperbola, foci, focuses, conic", "ka_url": "http://www.khanacademy.org/video/proof--hyperbola-foci", "duration": 890, "translated_title": "Proof: Hyperbola foci", "translated_description_html": "Proof of the hyperbola foci formula", "id": "23544", "description_html": "Proof of the hyperbola foci formula", "title": "Proof: Hyperbola foci", "progress_key": "v23544", "edit_slug": "edit/v/23544", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the hyperbola foci formula", "extra_properties": null, "node_slug": "v/proof--hyperbola-foci", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.mp4/HPRFmu7JsKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.mp4/HPRFmu7JsKU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HPRFmu7JsKU.m3u8/HPRFmu7JsKU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HPRFmu7JsKU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23544", "sha": "e59d77ae875db3b3f33ce318df246c7988e013fd", "translated_description": "Proof of the hyperbola foci formula", "image_url": "https://img.youtube.com/vi/HPRFmu7JsKU/hqdefault.jpg", "youtube_id": "HPRFmu7JsKU", "content_kind": "Video", "readable_id": "proof--hyperbola-foci"}], "twitter_url": "", "translated_description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", "x_pos": 0.0, "node_slug": "hyperbolas-precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfeacc6d7", "topic_page_url": "/math/trigonometry/conics_precalc/hyperbolas-precalc", "extended_slug": "math/trigonometry/conics_precalc/hyperbolas-precalc", "slug": "hyperbolas-precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "987348db4336bc237e3172c56c5f420985d24ff8", "standalone_title": "Hyperbolas", "y_pos": 0.0, "current_revision_key": "987348db4336bc237e3172c56c5f420985d24ff8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/conics_precalc_eqs", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/conics_precalc_eqs", "translated_standalone_title": "Conics from equations", "translated_title": "Conics from equations", "gplus_url": "", "id": "x9f792397", "old_key_name": "bpiDCx3vgvwGXFB0Y55zyxHnFgpKPXg0X5L44z7N", "hide": false, "title": "Conics from equations", "child_data": [{"kind": "Video", "id": 23534}, {"kind": "Video", "id": 23536}, {"kind": "Video", "id": 23538}, {"kind": "Video", "id": 24414}], "children": [{"translated_youtube_id": "LSJuu4Qm2qQ", "relative_url": "/video/identifying-conics-1", "has_questions": false, "keywords": "conic, section, graphing, ellipse, hyperbola", "ka_url": "http://www.khanacademy.org/video/identifying-conics-1", "duration": 551, "translated_title": "Identifying an ellipse from equation", "translated_description_html": "

Part 1 of identifying and graphic conic sections<\/p>\n", "id": "23534", "description_html": "

Part 1 of identifying and graphic conic sections<\/p>\n", "title": "Identifying an ellipse from equation", "progress_key": "v23534", "edit_slug": "edit/v/23534", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1 of identifying and graphic conic sections\n", "extra_properties": {"original_url": ""}, "node_slug": "v/identifying-conics-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.mp4/LSJuu4Qm2qQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.mp4/LSJuu4Qm2qQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSJuu4Qm2qQ.m3u8/LSJuu4Qm2qQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSJuu4Qm2qQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23534", "sha": "758e31870a8d1b0fc19e8a068aad30822a65a600", "translated_description": "Part 1 of identifying and graphic conic sections\n", "image_url": "https://img.youtube.com/vi/LSJuu4Qm2qQ/hqdefault.jpg", "youtube_id": "LSJuu4Qm2qQ", "content_kind": "Video", "readable_id": "identifying-conics-1"}, {"translated_youtube_id": "cvA4VN1dpuY", "relative_url": "/video/identifying-conics-2", "has_questions": false, "keywords": "conic, section, graphing, hyperbola", "ka_url": "http://www.khanacademy.org/video/identifying-conics-2", "duration": 688, "translated_title": "Identifying a hyperbola from an equation", "translated_description_html": "

Part 2 of identifying and graphing conic sections<\/p>\n", "id": "23536", "description_html": "

Part 2 of identifying and graphing conic sections<\/p>\n", "title": "Identifying a hyperbola from an equation", "progress_key": "v23536", "edit_slug": "edit/v/23536", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of identifying and graphing conic sections\n", "extra_properties": {"original_url": ""}, "node_slug": "v/identifying-conics-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.mp4/cvA4VN1dpuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.mp4/cvA4VN1dpuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cvA4VN1dpuY.m3u8/cvA4VN1dpuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cvA4VN1dpuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23536", "sha": "6c1580ae46e89c2c8a4baec730c79dce54a78772", "translated_description": "Part 2 of identifying and graphing conic sections\n", "image_url": "https://img.youtube.com/vi/cvA4VN1dpuY/hqdefault.jpg", "youtube_id": "cvA4VN1dpuY", "content_kind": "Video", "readable_id": "identifying-conics-2"}, {"translated_youtube_id": "Dru0RHgfp2g", "relative_url": "/video/conic-identification-3", "has_questions": false, "keywords": "conic, sections, parabola, circle", "ka_url": "http://www.khanacademy.org/video/conic-identification-3", "duration": 694, "translated_title": "Identifying circles and parabolas from equations", "translated_description_html": "

Let's identify (and graph) a couple of more conics!<\/p>\n", "id": "23538", "description_html": "

Let's identify (and graph) a couple of more conics!<\/p>\n", "title": "Identifying circles and parabolas from equations", "progress_key": "v23538", "edit_slug": "edit/v/23538", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's identify (and graph) a couple of more conics!\n", "extra_properties": {"original_url": ""}, "node_slug": "v/conic-identification-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.m3u8/Dru0RHgfp2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dru0RHgfp2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23538", "sha": "697b44858b4906ee6b9dd246ef686463e1454089", "translated_description": "Let's identify (and graph) a couple of more conics!\n", "image_url": "https://img.youtube.com/vi/Dru0RHgfp2g/hqdefault.jpg", "youtube_id": "Dru0RHgfp2g", "content_kind": "Video", "readable_id": "conic-identification-3"}, {"translated_youtube_id": "74oju-0NExU", "relative_url": "/video/algebra-----conic-sections", "has_questions": false, "keywords": "algebra, conic, sections, hyperbola, parabola, vertex", "ka_url": "http://www.khanacademy.org/video/algebra-----conic-sections", "duration": 811, "translated_title": "Hyperbola and parabola examples", "translated_description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "id": "24414", "description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "title": "Hyperbola and parabola examples", "progress_key": "v24414", "edit_slug": "edit/v/24414", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola, Hyperbolas, etc.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/algebra-----conic-sections", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.m3u8/74oju-0NExU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=74oju-0NExU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24414", "sha": "7e56e436f274fbdb6717f5fb60f329b0c16a0222", "translated_description": "Parabola, Hyperbolas, etc.\n", "image_url": "https://img.youtube.com/vi/74oju-0NExU/hqdefault.jpg", "youtube_id": "74oju-0NExU", "content_kind": "Video", "readable_id": "algebra-----conic-sections"}], "twitter_url": "", "translated_description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", "x_pos": 0.0, "node_slug": "conics_precalc_eqs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9f792397", "topic_page_url": "/math/trigonometry/conics_precalc/conics_precalc_eqs", "extended_slug": "math/trigonometry/conics_precalc/conics_precalc_eqs", "slug": "conics_precalc_eqs", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "35048b5e8cb3252e1c352423cf1e36cb6d139644", "standalone_title": "Conics from equations", "y_pos": 0.0, "current_revision_key": "35048b5e8cb3252e1c352423cf1e36cb6d139644", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/conics_precalc/jee_hyperbolas", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/conics_precalc/jee_hyperbolas", "translated_standalone_title": "Conics in the IIT JEE", "translated_title": "Conics in the IIT JEE", "gplus_url": "", "id": "x24211e68", "old_key_name": "fq-5rvEuWUcDx7Zs-3gXb0FU0ctVrPjckLs20PSQ", "hide": false, "title": "Conics in the IIT JEE", "child_data": [{"kind": "Video", "id": 8187463}, {"kind": "Video", "id": 8187454}, {"kind": "Video", "id": 8187455}, {"kind": "Video", "id": 8187456}, {"kind": "Video", "id": 8187457}, {"kind": "Video", "id": 8187458}, {"kind": "Video", "id": 8187453}], "children": [{"translated_youtube_id": "c_8QQbVQKU0", "relative_url": "/video/tangent-line-hyperbola-relationship--very-optional", "has_questions": false, "keywords": "hyperbola, tangent, line, conic, section", "ka_url": "http://www.khanacademy.org/video/tangent-line-hyperbola-relationship--very-optional", "duration": 604, "translated_title": "Tangent line hyperbola relationship (very optional)", "translated_description_html": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "id": "8187463", "description_html": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "title": "Tangent line hyperbola relationship (very optional)", "progress_key": "v8187463", "edit_slug": "edit/v/8187463", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "extra_properties": null, "node_slug": "v/tangent-line-hyperbola-relationship--very-optional", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.mp4/c_8QQbVQKU0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.mp4/c_8QQbVQKU0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.m3u8/c_8QQbVQKU0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c_8QQbVQKU0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187463", "sha": "f9fada2980827780c1e405e5bd0f142d82fb2193", "translated_description": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "image_url": "https://img.youtube.com/vi/c_8QQbVQKU0/hqdefault.jpg", "youtube_id": "c_8QQbVQKU0", "content_kind": "Video", "readable_id": "tangent-line-hyperbola-relationship--very-optional"}, {"translated_youtube_id": "MhLfun2Vask", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-1", "duration": 376, "translated_title": "IIT JEE circle hyperbola common tangent part 1", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "id": "8187454", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "title": "IIT JEE circle hyperbola common tangent part 1", "progress_key": "v8187454", "edit_slug": "edit/v/8187454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.mp4/MhLfun2Vask.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.mp4/MhLfun2Vask.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.m3u8/MhLfun2Vask.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MhLfun2Vask&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187454", "sha": "af4d21446e5221ac04ba5fbf393277e6564b36c5", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "image_url": "https://img.youtube.com/vi/MhLfun2Vask/hqdefault.jpg", "youtube_id": "MhLfun2Vask", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-1"}, {"translated_youtube_id": "0imeUgSxR10", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-2", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-2", "duration": 645, "translated_title": "IIT JEE circle hyperbola common tangent part 2", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "id": "8187455", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "title": "IIT JEE circle hyperbola common tangent part 2", "progress_key": "v8187455", "edit_slug": "edit/v/8187455", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.mp4/0imeUgSxR10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.mp4/0imeUgSxR10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.m3u8/0imeUgSxR10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0imeUgSxR10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187455", "sha": "94709de2c0bc8499cfbf2b1bb831f54d50b6fe66", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "image_url": "https://img.youtube.com/vi/0imeUgSxR10/hqdefault.jpg", "youtube_id": "0imeUgSxR10", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-2"}, {"translated_youtube_id": "RomnHMWSLoE", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-3", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-3", "duration": 535, "translated_title": "IIT JEE circle hyperbola common tangent part 3", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "id": "8187456", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "title": "IIT JEE circle hyperbola common tangent part 3", "progress_key": "v8187456", "edit_slug": "edit/v/8187456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.mp4/RomnHMWSLoE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.mp4/RomnHMWSLoE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.m3u8/RomnHMWSLoE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RomnHMWSLoE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187456", "sha": "4525ce6c4d479513ba3f45e6844687c575863977", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "image_url": "https://img.youtube.com/vi/RomnHMWSLoE/hqdefault.jpg", "youtube_id": "RomnHMWSLoE", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-3"}, {"translated_youtube_id": "eGo8C2Jshzs", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-4", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-4", "duration": 636, "translated_title": "IIT JEE circle hyperbola common tangent part 4", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "id": "8187457", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "title": "IIT JEE circle hyperbola common tangent part 4", "progress_key": "v8187457", "edit_slug": "edit/v/8187457", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.mp4/eGo8C2Jshzs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.mp4/eGo8C2Jshzs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.m3u8/eGo8C2Jshzs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eGo8C2Jshzs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187457", "sha": "5c50cc8a480d51e5a44a8632fde25632233bd4e1", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "image_url": "https://img.youtube.com/vi/eGo8C2Jshzs/hqdefault.jpg", "youtube_id": "eGo8C2Jshzs", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-4"}, {"translated_youtube_id": "rPoqpQcgNv4", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-5", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-5", "duration": 737, "translated_title": "IIT JEE circle hyperbola common tangent part 5", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "id": "8187458", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "title": "IIT JEE circle hyperbola common tangent part 5", "progress_key": "v8187458", "edit_slug": "edit/v/8187458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.mp4/rPoqpQcgNv4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.mp4/rPoqpQcgNv4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.m3u8/rPoqpQcgNv4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rPoqpQcgNv4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187458", "sha": "b87df32e3de6eeb73d7c21ea0e816e218d61bd36", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "image_url": "https://img.youtube.com/vi/rPoqpQcgNv4/hqdefault.jpg", "youtube_id": "rPoqpQcgNv4", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-5"}, {"translated_youtube_id": "6g3DPg2HqGw", "relative_url": "/video/iit-jee-circle-hyperbola-intersection", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 46, Circle, Hyperbola, Intersection", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-intersection", "duration": 764, "translated_title": "IIT JEE circle hyperbola intersection", "translated_description_html": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "id": "8187453", "description_html": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "title": "IIT JEE circle hyperbola intersection", "progress_key": "v8187453", "edit_slug": "edit/v/8187453", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-intersection", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.mp4/6g3DPg2HqGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.mp4/6g3DPg2HqGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.m3u8/6g3DPg2HqGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6g3DPg2HqGw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187453", "sha": "637648a5e0d186142503c4aa35a83e4451f9f78d", "translated_description": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "image_url": "https://img.youtube.com/vi/6g3DPg2HqGw/hqdefault.jpg", "youtube_id": "6g3DPg2HqGw", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-intersection"}], "twitter_url": "", "translated_description": "Do you think that the math exams that you have to take are hard? Well, if you have the stomach, try the problem(s) in this tutorial. They are not only conceptually difficult, but they are also hairy.\n\nDon't worry if you have trouble with this. Most of us would. The IIT JEE is an exam administered to 200,000 students every year in India to select which 2000 go to the competitive IITs. They need to make sure that most of the students can't do most of the problems so that they can really whittle the applicants down.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do you think that the math exams that you have to take are hard? Well, if you have the stomach, try the problem(s) in this tutorial. They are not only conceptually difficult, but they are also hairy.\n\nDon't worry if you have trouble with this. Most of us would. The IIT JEE is an exam administered to 200,000 students every year in India to select which 2000 go to the competitive IITs. They need to make sure that most of the students can't do most of the problems so that they can really whittle the applicants down.", "x_pos": 0.0, "node_slug": "jee_hyperbolas", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax24211e68", "topic_page_url": "/math/trigonometry/conics_precalc/jee_hyperbolas", "extended_slug": "math/trigonometry/conics_precalc/jee_hyperbolas", "slug": "jee_hyperbolas", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "96f2ab73d27e18a4b1aacffc03267d312503bd8d", "standalone_title": "Conics in the IIT JEE", "y_pos": 0.0, "current_revision_key": "96f2ab73d27e18a4b1aacffc03267d312503bd8d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "A detailed look at shapes that are prevalent in science: conic sections", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A detailed look at shapes that are prevalent in science: conic sections", "x_pos": 0.0, "node_slug": "conics_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb61c639c", "topic_page_url": "/math/trigonometry/conics_precalc", "extended_slug": "math/trigonometry/conics_precalc", "slug": "conics_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1fb0f4bc48e431eeb99fc9e8b7a66011fb8e4491", "standalone_title": "Conic sections", "y_pos": 0.0, "current_revision_key": "1fb0f4bc48e431eeb99fc9e8b7a66011fb8e4491", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/systems_eq_ineq", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/systems_eq_ineq", "translated_standalone_title": "Systems of equations and inequalities", "translated_title": "Systems of equations and inequalities", "gplus_url": "", "id": "x624792a7", "old_key_name": "UBxQ9EtBXBqYiJr5UfUd1hC-64cgRqsZV8TfWhdN", "hide": false, "title": "Systems of equations and inequalities", "child_data": [{"kind": "Topic", "id": "xca9a043a"}, {"kind": "Topic", "id": "x94b5ee59"}, {"kind": "Topic", "id": "x0460f0af"}, {"kind": "Topic", "id": "xd7f3d444"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc", "translated_standalone_title": "Solving systems of equations", "translated_title": "Solving systems of equations for the king", "gplus_url": "", "id": "xca9a043a", "old_key_name": "6Uv6AAjktVyYcEQrqMPGbbOkF_OCc7N_w6ovUyqd", "hide": false, "title": "Solving systems of equations for the king", "child_data": [{"kind": "Video", "id": 1095856196}, {"kind": "Video", "id": 1095783741}, {"kind": "Video", "id": 1112700719}, {"kind": "Exercise", "id": 357485849}, {"kind": "Video", "id": 1112847811}, {"kind": "Video", "id": 1112791956}, {"kind": "Exercise", "id": 426672506}, {"kind": "Video", "id": 1114711148}, {"kind": "Video", "id": 1115141430}, {"kind": "Exercise", "id": 426688097}, {"kind": "Video", "id": 1115394533}, {"kind": "Video", "id": 1116433408}, {"kind": "Exercise", "id": 426633747}, {"kind": "Exercise", "id": 3017}, {"kind": "Exercise", "id": 449948800}, {"kind": "Video", "id": 1116349757}, {"kind": "Video", "id": 1116483367}, {"kind": "Video", "id": 33752763}, {"kind": "Video", "id": 561902042}, {"kind": "Video", "id": 1116353804}, {"kind": "Exercise", "id": 426656847}], "children": [{"translated_youtube_id": "OcNt-36QKu8", "relative_url": "/video/trolls--tolls--and-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trolls--tolls--and-systems-of-equations", "duration": 411, "translated_title": "Trolls, tolls, and systems of equations", "translated_description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "id": "1095856196", "description_html": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "title": "Trolls, tolls, and systems of equations", "progress_key": "v1095856196", "edit_slug": "edit/v/1095856196", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "extra_properties": null, "node_slug": "v/trolls--tolls--and-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-19T16:56:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.m3u8/OcNt-36QKu8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OcNt-36QKu8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095856196", "sha": "7c59d9f6f750f45278a5a799e7a28327f8ecae32", "translated_description": "A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations", "image_url": "https://img.youtube.com/vi/OcNt-36QKu8/hqdefault.jpg", "youtube_id": "OcNt-36QKu8", "content_kind": "Video", "readable_id": "trolls--tolls--and-systems-of-equations"}, {"translated_youtube_id": "H-HfmyUzPw8", "relative_url": "/video/solving-the-troll-riddle-visually", "has_questions": false, "keywords": "simultaneous", "ka_url": "http://www.khanacademy.org/video/solving-the-troll-riddle-visually", "duration": 341, "translated_title": "Solving the troll riddle visually", "translated_description_html": "Solving the system of equations visually. Now we can save the prince/princess", "id": "1095783741", "description_html": "Solving the system of equations visually. Now we can save the prince/princess", "title": "Solving the troll riddle visually", "progress_key": "v1095783741", "edit_slug": "edit/v/1095783741", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving the system of equations visually. Now we can save the prince/princess", "extra_properties": {"original_url": ""}, "node_slug": "v/solving-the-troll-riddle-visually", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-19T17:38:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-HfmyUzPw8.m3u8/H-HfmyUzPw8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-HfmyUzPw8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1095783741", "sha": "295ce3a4534c203cc6b10187c8fcd12d7d475d99", "translated_description": "Solving the system of equations visually. Now we can save the prince/princess", "image_url": "https://img.youtube.com/vi/H-HfmyUzPw8/hqdefault.jpg", "youtube_id": "H-HfmyUzPw8", "content_kind": "Video", "readable_id": "solving-the-troll-riddle-visually"}, {"translated_youtube_id": "VhH2nEDCd68", "relative_url": "/video/solving-systems-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-graphically", "duration": 142, "translated_title": "Solving systems graphically", "translated_description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "id": "1112700719", "description_html": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "title": "Solving systems graphically", "progress_key": "v1112700719", "edit_slug": "edit/v/1112700719", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "extra_properties": null, "node_slug": "v/solving-systems-graphically", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T16:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.mp4/VhH2nEDCd68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VhH2nEDCd68.m3u8/VhH2nEDCd68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VhH2nEDCd68&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112700719", "sha": "8922246854322fdbe031bcf45f26a238c58fff5f", "translated_description": "Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )", "image_url": "https://img.youtube.com/vi/VhH2nEDCd68/hqdefault.jpg", "youtube_id": "VhH2nEDCd68", "content_kind": "Video", "readable_id": "solving-systems-graphically"}, {"translated_youtube_id": "xCIHAjsZCE0", "relative_url": "/video/king-s-cupcakes---solving-systems-by-elimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/king-s-cupcakes---solving-systems-by-elimination", "duration": 540, "translated_title": "King's cupcakes: Solving systems by elimination", "translated_description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "id": "1112847811", "description_html": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "title": "King's cupcakes: Solving systems by elimination", "progress_key": "v1112847811", "edit_slug": "edit/v/1112847811", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "extra_properties": null, "node_slug": "v/king-s-cupcakes---solving-systems-by-elimination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T17:49:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xCIHAjsZCE0.m3u8/xCIHAjsZCE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xCIHAjsZCE0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112847811", "sha": "2cf74a83a28ebf02909e125fbd327fc375b3900d", "translated_description": "Using simple elimination to figure out how many cupcakes are eaten by children and adults", "image_url": "https://img.youtube.com/vi/xCIHAjsZCE0/hqdefault.jpg", "youtube_id": "xCIHAjsZCE0", "content_kind": "Video", "readable_id": "king-s-cupcakes---solving-systems-by-elimination"}, {"translated_youtube_id": "QrHsibKBVwI", "relative_url": "/video/simple-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-elimination-practice", "duration": 258, "translated_title": "Simple elimination practice", "translated_description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "id": "1112791956", "description_html": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "title": "Simple elimination practice", "progress_key": "v1112791956", "edit_slug": "edit/v/1112791956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "extra_properties": null, "node_slug": "v/simple-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-29T18:56:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.m3u8/QrHsibKBVwI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QrHsibKBVwI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1112791956", "sha": "f1394ea93b8c1136bff61990cccd4bdc9c88ab83", "translated_description": "Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )", "image_url": "https://img.youtube.com/vi/QrHsibKBVwI/hqdefault.jpg", "youtube_id": "QrHsibKBVwI", "content_kind": "Video", "readable_id": "simple-elimination-practice"}, {"translated_youtube_id": "VuJEidLhY1E", "relative_url": "/video/how-many-bags-of-potato-chips-do-people-eat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-many-bags-of-potato-chips-do-people-eat", "duration": 561, "translated_title": "How many bags of potato chips do people eat?", "translated_description_html": "Using elimination to solve a system of equations", "id": "1114711148", "description_html": "Using elimination to solve a system of equations", "title": "How many bags of potato chips do people eat?", "progress_key": "v1114711148", "edit_slug": "edit/v/1114711148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using elimination to solve a system of equations", "extra_properties": null, "node_slug": "v/how-many-bags-of-potato-chips-do-people-eat", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-30T16:59:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuJEidLhY1E.m3u8/VuJEidLhY1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VuJEidLhY1E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1114711148", "sha": "19ebfa03b68a958d849f765499479678a83a9024", "translated_description": "Using elimination to solve a system of equations", "image_url": "https://img.youtube.com/vi/VuJEidLhY1E/hqdefault.jpg", "youtube_id": "VuJEidLhY1E", "content_kind": "Video", "readable_id": "how-many-bags-of-potato-chips-do-people-eat"}, {"translated_youtube_id": "u5dPUHjagSI", "relative_url": "/video/systems-with-elimination-practice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-with-elimination-practice", "duration": 331, "translated_title": "Systems with elimination practice", "translated_description_html": "Example of solving systems of equations with elimination", "id": "1115141430", "description_html": "Example of solving systems of equations with elimination", "title": "Systems with elimination practice", "progress_key": "v1115141430", "edit_slug": "edit/v/1115141430", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of solving systems of equations with elimination", "extra_properties": null, "node_slug": "v/systems-with-elimination-practice", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:04:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.mp4/u5dPUHjagSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5dPUHjagSI.m3u8/u5dPUHjagSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5dPUHjagSI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115141430", "sha": "d587303c8bbf9ffc00cd4f31955536c79ea1642c", "translated_description": "Example of solving systems of equations with elimination", "image_url": "https://img.youtube.com/vi/u5dPUHjagSI/hqdefault.jpg", "youtube_id": "u5dPUHjagSI", "content_kind": "Video", "readable_id": "systems-with-elimination-practice"}, {"translated_youtube_id": "2EwPpga_XPw", "relative_url": "/video/solving-systems-with-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solving-systems-with-substitution", "duration": 321, "translated_title": "Talking bird solves systems with substitution", "translated_description_html": "Solving systems of equations with substitution.", "id": "1115394533", "description_html": "Solving systems of equations with substitution.", "title": "Talking bird solves systems with substitution", "progress_key": "v1115394533", "edit_slug": "edit/v/1115394533", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving systems of equations with substitution.", "extra_properties": null, "node_slug": "v/solving-systems-with-substitution", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-10-31T00:46:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2EwPpga_XPw.m3u8/2EwPpga_XPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2EwPpga_XPw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115394533", "sha": "c4374f3164b36dcedf041d62e76da961257d895a", "translated_description": "Solving systems of equations with substitution.", "image_url": "https://img.youtube.com/vi/2EwPpga_XPw/hqdefault.jpg", "youtube_id": "2EwPpga_XPw", "content_kind": "Video", "readable_id": "solving-systems-with-substitution"}, {"translated_youtube_id": "GWZKz4F9hWM", "relative_url": "/video/practice-using-substitution-for-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-using-substitution-for-systems", "duration": 261, "translated_title": "Practice using substitution for systems", "translated_description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "id": "1116433408", "description_html": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "title": "Practice using substitution for systems", "progress_key": "v1116433408", "edit_slug": "edit/v/1116433408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "extra_properties": null, "node_slug": "v/practice-using-substitution-for-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:47:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GWZKz4F9hWM.m3u8/GWZKz4F9hWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GWZKz4F9hWM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116433408", "sha": "7459e35936cb6b9d045fde6091a4c8a75eb28e02", "translated_description": "Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution", "image_url": "https://img.youtube.com/vi/GWZKz4F9hWM/hqdefault.jpg", "youtube_id": "GWZKz4F9hWM", "content_kind": "Video", "readable_id": "practice-using-substitution-for-systems"}, {"translated_youtube_id": "NJRyxmommqQ", "relative_url": "/video/inconsistent-systems-of-equations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inconsistent-systems-of-equations", "duration": 565, "translated_title": "Inconsistent systems of equations", "translated_description_html": "Systems of equations without a solution", "id": "1116349757", "description_html": "Systems of equations without a solution", "title": "Inconsistent systems of equations", "progress_key": "v1116349757", "edit_slug": "edit/v/1116349757", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Systems of equations without a solution", "extra_properties": null, "node_slug": "v/inconsistent-systems-of-equations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-31T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.m3u8/NJRyxmommqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NJRyxmommqQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116349757", "sha": "0dd46d8e8bb19a00636d8a6f4c1121c9d617b35f", "translated_description": "Systems of equations without a solution", "image_url": "https://img.youtube.com/vi/NJRyxmommqQ/hqdefault.jpg", "youtube_id": "NJRyxmommqQ", "content_kind": "Video", "readable_id": "inconsistent-systems-of-equations"}, {"translated_youtube_id": "MpRUEGD2-_c", "relative_url": "/video/infinite-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infinite-solutions-to-systems", "duration": 428, "translated_title": "Infinite solutions to systems", "translated_description_html": "Consistent, but dependent systems of equations", "id": "1116483367", "description_html": "Consistent, but dependent systems of equations", "title": "Infinite solutions to systems", "progress_key": "v1116483367", "edit_slug": "edit/v/1116483367", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Consistent, but dependent systems of equations", "extra_properties": null, "node_slug": "v/infinite-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-31T16:48:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.mp4/MpRUEGD2-_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MpRUEGD2-_c.m3u8/MpRUEGD2-_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MpRUEGD2-_c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116483367", "sha": "ee31fc35ed91c215abd862b97a8e891da162e9ac", "translated_description": "Consistent, but dependent systems of equations", "image_url": "https://img.youtube.com/vi/MpRUEGD2-_c/hqdefault.jpg", "youtube_id": "MpRUEGD2-_c", "content_kind": "Video", "readable_id": "infinite-solutions-to-systems"}, {"translated_youtube_id": "Ix8Nne-a-KQ", "relative_url": "/video/consistent-and-inconsistent-systems", "has_questions": false, "keywords": "u14_l1_t1_we3, Consistent, and, Inconsistent, Systems, CC_8_EE_8_a, CC_8_EE_8_b", "ka_url": "http://www.khanacademy.org/video/consistent-and-inconsistent-systems", "duration": 329, "translated_title": "Consistent and inconsistent systems", "translated_description_html": "Consistent and Inconsistent Systems", "id": "33752763", "description_html": "Consistent and Inconsistent Systems", "title": "Consistent and inconsistent systems", "progress_key": "v33752763", "edit_slug": "edit/v/33752763", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Consistent and Inconsistent Systems", "extra_properties": null, "node_slug": "v/consistent-and-inconsistent-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.m3u8/Ix8Nne-a-KQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ix8Nne-a-KQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752763", "sha": "d04a85de26f7e9e1726820c4a9e9a1b459bbd0bf", "translated_description": "Consistent and Inconsistent Systems", "image_url": "https://img.youtube.com/vi/Ix8Nne-a-KQ/hqdefault.jpg", "youtube_id": "Ix8Nne-a-KQ", "content_kind": "Video", "readable_id": "consistent-and-inconsistent-systems"}, {"translated_youtube_id": "WSpF5uvApLA", "relative_url": "/video/independent-and-dependent-systems", "has_questions": false, "keywords": "u14_l1_t1_we4, Independent, and, Dependent, Systems, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/independent-and-dependent-systems", "duration": 310, "translated_title": "Independent and dependent systems", "translated_description_html": " Independent and Dependent Systems", "id": "561902042", "description_html": " Independent and Dependent Systems", "title": "Independent and dependent systems", "progress_key": "v561902042", "edit_slug": "edit/v/561902042", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": " Independent and Dependent Systems", "extra_properties": null, "node_slug": "v/independent-and-dependent-systems", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.mp4/WSpF5uvApLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WSpF5uvApLA.m3u8/WSpF5uvApLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WSpF5uvApLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561902042", "sha": "fe85fd7d072a8b1ae13373a1d62798687e0b9022", "translated_description": " Independent and Dependent Systems", "image_url": "https://img.youtube.com/vi/WSpF5uvApLA/hqdefault.jpg", "youtube_id": "WSpF5uvApLA", "content_kind": "Video", "readable_id": "independent-and-dependent-systems"}, {"translated_youtube_id": "SuB1gkto9LU", "relative_url": "/video/practice-thinking-about-number-of-solutions-to-systems", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/practice-thinking-about-number-of-solutions-to-systems", "duration": 396, "translated_title": "Practice thinking about number of solutions to systems", "translated_description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "id": "1116353804", "description_html": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "title": "Practice thinking about number of solutions to systems", "progress_key": "v1116353804", "edit_slug": "edit/v/1116353804", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "extra_properties": null, "node_slug": "v/practice-thinking-about-number-of-solutions-to-systems", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-31T16:48:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.mp4/SuB1gkto9LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SuB1gkto9LU.m3u8/SuB1gkto9LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SuB1gkto9LU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1116353804", "sha": "cb71004b147d1a54f79f84360742131aad958983", "translated_description": "Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations", "image_url": "https://img.youtube.com/vi/SuB1gkto9LU/hqdefault.jpg", "youtube_id": "SuB1gkto9LU", "content_kind": "Video", "readable_id": "practice-thinking-about-number-of-solutions-to-systems"}], "twitter_url": "", "translated_description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", "x_pos": 0.0, "node_slug": "systems_tutorial_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca9a043a", "topic_page_url": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc", "extended_slug": "math/trigonometry/systems_eq_ineq/systems_tutorial_precalc", "slug": "systems_tutorial_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ad165a617924dc2e9fccb6aaf4d4701eb1cc94d1", "standalone_title": "Solving systems of equations", "y_pos": 0.0, "current_revision_key": "ad165a617924dc2e9fccb6aaf4d4701eb1cc94d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc", "translated_standalone_title": "Systems of inequalities", "translated_title": "Systems of inequalities", "gplus_url": "", "id": "x94b5ee59", "old_key_name": "ZHmL_uG6swvXBEyl7GdEge61iHkMZT_7axQTV0zG", "hide": false, "title": "Systems of inequalities", "child_data": [{"kind": "Video", "id": 33752766}, {"kind": "Video", "id": 26891}, {"kind": "Video", "id": 2600587}, {"kind": "Exercise", "id": 415898215}, {"kind": "Exercise", "id": 426657621}], "children": [{"translated_youtube_id": "CA4S7S-3Lg4", "relative_url": "/video/graphical-system-of-inequalities", "has_questions": false, "keywords": "u14_l1_t2_we1, Graphical, System, of, Inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphical-system-of-inequalities", "duration": 336, "translated_title": "Visualizing the solution set for a system of inequalities", "translated_description_html": "

Visualizing the solution set for a system of inequalities<\/p>\n", "id": "33752766", "description_html": "

Visualizing the solution set for a system of inequalities<\/p>\n", "title": "Visualizing the solution set for a system of inequalities", "progress_key": "v33752766", "edit_slug": "edit/v/33752766", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing the solution set for a system of inequalities\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphical-system-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.mp4/CA4S7S-3Lg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.mp4/CA4S7S-3Lg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CA4S7S-3Lg4.m3u8/CA4S7S-3Lg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CA4S7S-3Lg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752766", "sha": "715f1e474a75ec523c5764251bcd5e4d6ca4abdf", "translated_description": "Visualizing the solution set for a system of inequalities\n", "image_url": "https://img.youtube.com/vi/CA4S7S-3Lg4/hqdefault.jpg", "youtube_id": "CA4S7S-3Lg4", "content_kind": "Video", "readable_id": "graphical-system-of-inequalities"}, {"translated_youtube_id": "YjT3QYfoy4Q", "relative_url": "/video/graphing-systems-of-inequalities-2", "has_questions": false, "keywords": "U06_L3_T1_we2, Graphing, systems, of, inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/graphing-systems-of-inequalities-2", "duration": 204, "translated_title": "Graphing systems of inequalities", "translated_description_html": "

Graphing systems of inequalities<\/p>\n", "id": "26891", "description_html": "

Graphing systems of inequalities<\/p>\n", "title": "Graphing systems of inequalities", "progress_key": "v26891", "edit_slug": "edit/v/26891", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing systems of inequalities\n", "extra_properties": {"original_url": ""}, "node_slug": "v/graphing-systems-of-inequalities-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:28:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.m3u8/YjT3QYfoy4Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YjT3QYfoy4Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26891", "sha": "a55fd1355adb9fa00d38568bf982fe51e954bf6d", "translated_description": "Graphing systems of inequalities\n", "image_url": "https://img.youtube.com/vi/YjT3QYfoy4Q/hqdefault.jpg", "youtube_id": "YjT3QYfoy4Q", "content_kind": "Video", "readable_id": "graphing-systems-of-inequalities-2"}, {"translated_youtube_id": "BUmLw5m6F9s", "relative_url": "/video/u06-l3-t1-we3-graphing-systems-of-inequalities", "has_questions": false, "keywords": "U06, L3, T1, we3, Graphing, Systems, of, Inequalities, CC_39336_A-REI_12", "ka_url": "http://www.khanacademy.org/video/u06-l3-t1-we3-graphing-systems-of-inequalities", "duration": 585, "translated_title": "Graphing systems of inequalities 2", "translated_description_html": "

Graphing systems of inequalities 2<\/p>\n", "id": "2600587", "description_html": "

Graphing systems of inequalities 2<\/p>\n", "title": "Graphing systems of inequalities 2", "progress_key": "v2600587", "edit_slug": "edit/v/2600587", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Graphing systems of inequalities 2\n", "extra_properties": {"original_url": ""}, "node_slug": "v/u06-l3-t1-we3-graphing-systems-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.m3u8/BUmLw5m6F9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BUmLw5m6F9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600587", "sha": "64f06045ea03e14f229260d6153285039c81ff2a", "translated_description": "Graphing systems of inequalities 2\n", "image_url": "https://img.youtube.com/vi/BUmLw5m6F9s/hqdefault.jpg", "youtube_id": "BUmLw5m6F9s", "content_kind": "Video", "readable_id": "u06-l3-t1-we3-graphing-systems-of-inequalities"}], "twitter_url": "", "translated_description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", "x_pos": 0.0, "node_slug": "systems_inequalities_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax94b5ee59", "topic_page_url": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc", "extended_slug": "math/trigonometry/systems_eq_ineq/systems_inequalities_precalc", "slug": "systems_inequalities_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7b1d4a25825110a02b20f0f89ffc7ff5193452fd", "standalone_title": "Systems of inequalities", "y_pos": 0.0, "current_revision_key": "7b1d4a25825110a02b20f0f89ffc7ff5193452fd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/systems_eq_ineq/fancier_systems_precalc", "translated_standalone_title": "Systems with three variables", "translated_title": "Systems with three variables", "gplus_url": "", "id": "x0460f0af", "old_key_name": "LPdR0yymjn4B_AAqHf6VFzp2XkB-mSpOwrB_6ODP", "hide": false, "title": "Systems with three variables", "child_data": [{"kind": "Video", "id": 33752776}, {"kind": "Video", "id": 33752777}, {"kind": "Video", "id": 561884164}, {"kind": "Video", "id": 465991886}, {"kind": "Video", "id": 33752778}], "children": [{"translated_youtube_id": "pANZpI9sOYg", "relative_url": "/video/systems-of-three-variables", "has_questions": false, "keywords": "u14_l3_t1_we1, Systems, of, Three, Variables, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-of-three-variables", "duration": 503, "translated_title": "Systems of three variables", "translated_description_html": "Systems of Three Variables", "id": "33752776", "description_html": "Systems of Three Variables", "title": "Systems of three variables", "progress_key": "v33752776", "edit_slug": "edit/v/33752776", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems of Three Variables", "extra_properties": null, "node_slug": "v/systems-of-three-variables", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.m3u8/pANZpI9sOYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pANZpI9sOYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752776", "sha": "21d412ee94ea57917af87024d050b2b1c7585bff", "translated_description": "Systems of Three Variables", "image_url": "https://img.youtube.com/vi/pANZpI9sOYg/hqdefault.jpg", "youtube_id": "pANZpI9sOYg", "content_kind": "Video", "readable_id": "systems-of-three-variables"}, {"translated_youtube_id": "f7cX-Ar2cEM", "relative_url": "/video/systems-of-three-variables-2", "has_questions": false, "keywords": "u14_l3_t1_we2, Systems, of, Three, Variables, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/systems-of-three-variables-2", "duration": 420, "translated_title": "Systems of three variables 2", "translated_description_html": "Systems of Three Variables 2", "id": "33752777", "description_html": "Systems of Three Variables 2", "title": "Systems of three variables 2", "progress_key": "v33752777", "edit_slug": "edit/v/33752777", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systems of Three Variables 2", "extra_properties": null, "node_slug": "v/systems-of-three-variables-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.mp4/f7cX-Ar2cEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.mp4/f7cX-Ar2cEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f7cX-Ar2cEM.m3u8/f7cX-Ar2cEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f7cX-Ar2cEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752777", "sha": "b20a1e2dd4f297a5363a6b844b964b6e5bf3581c", "translated_description": "Systems of Three Variables 2", "image_url": "https://img.youtube.com/vi/f7cX-Ar2cEM/hqdefault.jpg", "youtube_id": "f7cX-Ar2cEM", "content_kind": "Video", "readable_id": "systems-of-three-variables-2"}, {"translated_youtube_id": "K38zMmtjxEw", "relative_url": "/video/solutions-to-three-variable-system", "has_questions": false, "keywords": "u14_l3_t1_we4, Solutions, to, Three, Variable, System, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/solutions-to-three-variable-system", "duration": 274, "translated_title": "Solutions to three variable system", "translated_description_html": " Solutions to Three Variable System", "id": "561884164", "description_html": " Solutions to Three Variable System", "title": "Solutions to three variable system", "progress_key": "v561884164", "edit_slug": "edit/v/561884164", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": " Solutions to Three Variable System", "extra_properties": null, "node_slug": "v/solutions-to-three-variable-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-09T03:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.mp4/K38zMmtjxEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.mp4/K38zMmtjxEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K38zMmtjxEw.m3u8/K38zMmtjxEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K38zMmtjxEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v561884164", "sha": "6ebb015f0426ddb2e685a94aefa3d91b3012c7cd", "translated_description": " Solutions to Three Variable System", "image_url": "https://img.youtube.com/vi/K38zMmtjxEw/hqdefault.jpg", "youtube_id": "K38zMmtjxEw", "content_kind": "Video", "readable_id": "solutions-to-three-variable-system"}, {"translated_youtube_id": "145zOBT0LD4", "relative_url": "/video/solutions-to-three-variable-system-2", "has_questions": false, "keywords": "u14, l3, t1, we4, Solutions, to, Three, Variable, System", "ka_url": "http://www.khanacademy.org/video/solutions-to-three-variable-system-2", "duration": 306, "translated_title": "Solutions to three variable system 2", "translated_description_html": "u14 l3 t1 we4 Solutions to Three Variable System", "id": "465991886", "description_html": "u14 l3 t1 we4 Solutions to Three Variable System", "title": "Solutions to three variable system 2", "progress_key": "v465991886", "edit_slug": "edit/v/465991886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "u14 l3 t1 we4 Solutions to Three Variable System", "extra_properties": null, "node_slug": "v/solutions-to-three-variable-system-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.m3u8/145zOBT0LD4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=145zOBT0LD4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v465991886", "sha": "e987bfe804c17fbc3be07c463be5ca8847a4ac7d", "translated_description": "u14 l3 t1 we4 Solutions to Three Variable System", "image_url": "https://img.youtube.com/vi/145zOBT0LD4/hqdefault.jpg", "youtube_id": "145zOBT0LD4", "content_kind": "Video", "readable_id": "solutions-to-three-variable-system-2"}, {"translated_youtube_id": "TJaHNxJk5-4", "relative_url": "/video/three-equation-application-problem", "has_questions": false, "keywords": "u14_l3_t1_we3, Three, Equation, Application, Problem, CC_39336_A-REI_6", "ka_url": "http://www.khanacademy.org/video/three-equation-application-problem", "duration": 496, "translated_title": "Three equation application problem", "translated_description_html": "Three Equation Application Problem", "id": "33752778", "description_html": "Three Equation Application Problem", "title": "Three equation application problem", "progress_key": "v33752778", "edit_slug": "edit/v/33752778", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Three Equation Application Problem", "extra_properties": null, "node_slug": "v/three-equation-application-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.mp4/TJaHNxJk5-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.mp4/TJaHNxJk5-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TJaHNxJk5-4.m3u8/TJaHNxJk5-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TJaHNxJk5-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33752778", "sha": "a420fb52a51a9c5de083c960fd308995b12cc926", "translated_description": "Three Equation Application Problem", "image_url": "https://img.youtube.com/vi/TJaHNxJk5-4/hqdefault.jpg", "youtube_id": "TJaHNxJk5-4", "content_kind": "Video", "readable_id": "three-equation-application-problem"}], "twitter_url": "", "translated_description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") ", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") ", "x_pos": 0.0, "node_slug": "fancier_systems_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0460f0af", "topic_page_url": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc", "extended_slug": "math/trigonometry/systems_eq_ineq/fancier_systems_precalc", "slug": "fancier_systems_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2ee35f059d50f8ed9aec03b709884f973ec843d5", "standalone_title": "Systems with three variables", "y_pos": 0.0, "current_revision_key": "2ee35f059d50f8ed9aec03b709884f973ec843d5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/systems_eq_ineq/non-linear-systems-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/systems_eq_ineq/non-linear-systems-tutorial", "translated_standalone_title": "Non-linear systems of equations", "translated_title": "Non-linear systems of equations", "gplus_url": "", "id": "xd7f3d444", "old_key_name": null, "hide": false, "title": "Non-linear systems of equations", "child_data": [{"kind": "Video", "id": 27008}, {"kind": "Video", "id": 27009}, {"kind": "Video", "id": 27010}, {"kind": "Video", "id": "x5bf30ab7"}, {"kind": "Video", "id": "x0698a8ee"}, {"kind": "Video", "id": "x9e7fad26"}, {"kind": "Exercise", "id": "xf7d9445d"}], "children": [{"translated_youtube_id": "hjigR_rHKDI", "relative_url": "/video/non-linear-systems-of-equations-1", "has_questions": false, "keywords": "U10_L2_T2_we1, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_A-REI_7, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-1", "duration": 344, "translated_title": "Non-linear systems of equations 1", "translated_description_html": "Non-Linear Systems of Equations 1", "id": "27008", "description_html": "Non-Linear Systems of Equations 1", "title": "Non-linear systems of equations 1", "progress_key": "v27008", "edit_slug": "edit/v/27008", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 1", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.m3u8/hjigR_rHKDI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hjigR_rHKDI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27008", "sha": "82a48cdb808eedffe9f8a3dd6017ddd0022f9e8d", "translated_description": "Non-Linear Systems of Equations 1", "image_url": "https://img.youtube.com/vi/hjigR_rHKDI/hqdefault.jpg", "youtube_id": "hjigR_rHKDI", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-1"}, {"translated_youtube_id": "XPf8LMu7QSw", "relative_url": "/video/non-linear-systems-of-equations-2", "has_questions": false, "keywords": "U10_L2_T2_we2, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-2", "duration": 501, "translated_title": "Non-linear systems of equations 2", "translated_description_html": "Non-Linear Systems of Equations 2", "id": "27009", "description_html": "Non-Linear Systems of Equations 2", "title": "Non-linear systems of equations 2", "progress_key": "v27009", "edit_slug": "edit/v/27009", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 2", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.m3u8/XPf8LMu7QSw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XPf8LMu7QSw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27009", "sha": "229f81a13a300be4aa0b138389239b5569c3b51d", "translated_description": "Non-Linear Systems of Equations 2", "image_url": "https://img.youtube.com/vi/XPf8LMu7QSw/hqdefault.jpg", "youtube_id": "XPf8LMu7QSw", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-2"}, {"translated_youtube_id": "FksgVpM_iXs", "relative_url": "/video/non-linear-systems-of-equations-3", "has_questions": false, "keywords": "U10_L2_T2_we3, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", "ka_url": "http://www.khanacademy.org/video/non-linear-systems-of-equations-3", "duration": 416, "translated_title": "Non-linear systems of equations 3", "translated_description_html": "Non-Linear Systems of Equations 3", "id": "27010", "description_html": "Non-Linear Systems of Equations 3", "title": "Non-linear systems of equations 3", "progress_key": "v27010", "edit_slug": "edit/v/27010", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Non-Linear Systems of Equations 3", "extra_properties": null, "node_slug": "v/non-linear-systems-of-equations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:29:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.m3u8/FksgVpM_iXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FksgVpM_iXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27010", "sha": "67539b4460c04da97f7fbf2764145350726f9487", "translated_description": "Non-Linear Systems of Equations 3", "image_url": "https://img.youtube.com/vi/FksgVpM_iXs/hqdefault.jpg", "youtube_id": "FksgVpM_iXs", "content_kind": "Video", "readable_id": "non-linear-systems-of-equations-3"}, {"translated_youtube_id": "cdY0b4ziR5U", "relative_url": "/video/systems-of-nonlinear-equations-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-1", "duration": 88, "translated_title": "Systems of nonlinear equations 1", "translated_description_html": "", "id": "x5bf30ab7", "description_html": "", "title": "Systems of nonlinear equations 1", "progress_key": "vx5bf30ab7", "edit_slug": "edit/v/x5bf30ab7", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.mp4/cdY0b4ziR5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.mp4/cdY0b4ziR5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cdY0b4ziR5U.m3u8/cdY0b4ziR5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cdY0b4ziR5U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5bf30ab7", "sha": "65e96d4887c19b49d2735b5dd103898ad765c5ed", "translated_description": "", "image_url": "https://img.youtube.com/vi/cdY0b4ziR5U/hqdefault.jpg", "youtube_id": "cdY0b4ziR5U", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-1"}, {"translated_youtube_id": "GQf1vjfxuo8", "relative_url": "/video/systems-of-nonlinear-equations-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-2", "duration": 214, "translated_title": "Systems of nonlinear equations 2", "translated_description_html": "", "id": "x0698a8ee", "description_html": "", "title": "Systems of nonlinear equations 2", "progress_key": "vx0698a8ee", "edit_slug": "edit/v/x0698a8ee", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.mp4/GQf1vjfxuo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.mp4/GQf1vjfxuo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GQf1vjfxuo8.m3u8/GQf1vjfxuo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GQf1vjfxuo8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0698a8ee", "sha": "a55ac39f8413ae56d0590b5e158cd4e331feb0f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/GQf1vjfxuo8/hqdefault.jpg", "youtube_id": "GQf1vjfxuo8", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-2"}, {"translated_youtube_id": "swFohliPgmQ", "relative_url": "/video/systems-of-nonlinear-equations-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systems-of-nonlinear-equations-3", "duration": 254, "translated_title": "Systems of nonlinear equations 3", "translated_description_html": "", "id": "x9e7fad26", "description_html": "", "title": "Systems of nonlinear equations 3", "progress_key": "vx9e7fad26", "edit_slug": "edit/v/x9e7fad26", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {}, "node_slug": "v/systems-of-nonlinear-equations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2013-06-06T14:32:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.mp4/swFohliPgmQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.mp4/swFohliPgmQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/swFohliPgmQ.m3u8/swFohliPgmQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=swFohliPgmQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9e7fad26", "sha": "c4897b01eb84d99137b8c6230abd4277035790c1", "translated_description": "", "image_url": "https://img.youtube.com/vi/swFohliPgmQ/hqdefault.jpg", "youtube_id": "swFohliPgmQ", "content_kind": "Video", "readable_id": "systems-of-nonlinear-equations-3"}], "twitter_url": "", "translated_description": "Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", "x_pos": 0.0, "node_slug": "non-linear-systems-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7f3d444", "topic_page_url": "/math/trigonometry/systems_eq_ineq/non-linear-systems-tutorial", "extended_slug": "math/trigonometry/systems_eq_ineq/non-linear-systems-tutorial", "slug": "non-linear-systems-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "53962909dfe4ba8bfd5d5fc6ac3c43f323563646", "standalone_title": "Non-linear systems of equations", "y_pos": 0.0, "current_revision_key": "53962909dfe4ba8bfd5d5fc6ac3c43f323563646", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "What happens when we have many variables but also many constraints.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What happens when we have many variables but also many constraints.", "x_pos": 0.0, "node_slug": "systems_eq_ineq", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax624792a7", "topic_page_url": "/math/trigonometry/systems_eq_ineq", "extended_slug": "math/trigonometry/systems_eq_ineq", "slug": "systems_eq_ineq", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1e3f286427d72287ec1ca72353b8d3e1af2afe10", "standalone_title": "Systems of equations and inequalities", "y_pos": 0.0, "current_revision_key": "1e3f286427d72287ec1ca72353b8d3e1af2afe10", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction", "translated_standalone_title": "Sequences, series and induction", "translated_title": "Sequences, series and induction", "gplus_url": "", "id": "xef1dc391", "old_key_name": "4P_CMUcJNgKjshRy_DaQmjqb4biWdASLnZ8NxVcA", "hide": false, "title": "Sequences, series and induction", "child_data": [{"kind": "Topic", "id": "x529d8281"}, {"kind": "Topic", "id": "x68e77953"}, {"kind": "Topic", "id": "x8b070f29"}, {"kind": "Topic", "id": "x75114185"}, {"kind": "Topic", "id": "x23f4a2b2"}, {"kind": "Topic", "id": "x9dbd03d8"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/proof_by_induction", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/proof_by_induction", "translated_standalone_title": "Induction", "translated_title": "Induction", "gplus_url": "", "id": "x529d8281", "old_key_name": "wexZTtLdfkfsiJFIiLvHs4MDFRzIFZiD8-0NzM_c", "hide": false, "title": "Induction", "child_data": [{"kind": "Video", "id": 193202564}, {"kind": "Video", "id": 193202563}], "children": [{"translated_youtube_id": "wblW_M_HVQ8", "relative_url": "/video/proof-by-induction", "has_questions": false, "keywords": "proof, algebra, induction", "ka_url": "http://www.khanacademy.org/video/proof-by-induction", "duration": 563, "translated_title": "Proof by induction", "translated_description_html": "Proving an expression for the sum of all positive integers up to and including n by induction", "id": "193202564", "description_html": "Proving an expression for the sum of all positive integers up to and including n by induction", "title": "Proof by induction", "progress_key": "v193202564", "edit_slug": "edit/v/193202564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proving an expression for the sum of all positive integers up to and including n by induction", "extra_properties": null, "node_slug": "v/proof-by-induction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-10T18:49:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wblW_M_HVQ8.mp4/wblW_M_HVQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wblW_M_HVQ8.mp4/wblW_M_HVQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wblW_M_HVQ8.m3u8/wblW_M_HVQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wblW_M_HVQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193202564", "sha": "090185cde2f14bc4e45dbcc1eff011f36fb33541", "translated_description": "Proving an expression for the sum of all positive integers up to and including n by induction", "image_url": "https://img.youtube.com/vi/wblW_M_HVQ8/hqdefault.jpg", "youtube_id": "wblW_M_HVQ8", "content_kind": "Video", "readable_id": "proof-by-induction"}, {"translated_youtube_id": "1wnIsgUivEQ", "relative_url": "/video/alternate-proof-to-induction-for-integer-sum", "has_questions": false, "keywords": "proof, algebra, sum, sequence, series", "ka_url": "http://www.khanacademy.org/video/alternate-proof-to-induction-for-integer-sum", "duration": 212, "translated_title": "Alternate proof to induction for integer sum", "translated_description_html": "Another way to prove the expression for the sum of all positive integers up to and including n", "id": "193202563", "description_html": "Another way to prove the expression for the sum of all positive integers up to and including n", "title": "Alternate proof to induction for integer sum", "progress_key": "v193202563", "edit_slug": "edit/v/193202563", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another way to prove the expression for the sum of all positive integers up to and including n", "extra_properties": null, "node_slug": "v/alternate-proof-to-induction-for-integer-sum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-10T18:49:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1wnIsgUivEQ.mp4/1wnIsgUivEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1wnIsgUivEQ.mp4/1wnIsgUivEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1wnIsgUivEQ.m3u8/1wnIsgUivEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1wnIsgUivEQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v193202563", "sha": "7d896a87c8fbb62a2d2b2306b97afdd087aee7b2", "translated_description": "Another way to prove the expression for the sum of all positive integers up to and including n", "image_url": "https://img.youtube.com/vi/1wnIsgUivEQ/hqdefault.jpg", "youtube_id": "1wnIsgUivEQ", "content_kind": "Video", "readable_id": "alternate-proof-to-induction-for-integer-sum"}], "twitter_url": "", "translated_description": "Proof by induction is a core tool. This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then it is also true for n+1, then it must be true for all n! Amazing!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Proof by induction is a core tool. This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then it is also true for n+1, then it must be true for all n! Amazing!", "x_pos": 0.0, "node_slug": "proof_by_induction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax529d8281", "topic_page_url": "/math/trigonometry/seq_induction/proof_by_induction", "extended_slug": "math/trigonometry/seq_induction/proof_by_induction", "slug": "proof_by_induction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "48898bcfc5fbaa73ce06f7db562fda40d164ce3a", "standalone_title": "Induction", "y_pos": 0.0, "current_revision_key": "48898bcfc5fbaa73ce06f7db562fda40d164ce3a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/seq_and_series", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/seq_and_series", "translated_standalone_title": "Sequences and series", "translated_title": "Basic sequences and series", "gplus_url": "", "id": "x68e77953", "old_key_name": "2KekAt8_xseYcEtpGeJ5KWaFyLIz8mCJiU_7oE9v", "hide": false, "title": "Basic sequences and series", "child_data": [{"kind": "Video", "id": 1383721311}, {"kind": "Video", "id": 1383600767}, {"kind": "Video", "id": 26789}, {"kind": "Exercise", "id": 1383501473}, {"kind": "Video", "id": 26788}, {"kind": "Exercise", "id": 1383308880}, {"kind": "Video", "id": 1393021992}, {"kind": "Video", "id": 1393162637}, {"kind": "Video", "id": 1392989924}, {"kind": "Exercise", "id": 1383472697}], "children": [{"translated_youtube_id": "KRFiAlo7t1E", "relative_url": "/video/explicit-and-recursive-definitions-of-sequences", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/explicit-and-recursive-definitions-of-sequences", "duration": 498, "translated_title": "Explicit and recursive definitions of sequences", "translated_description_html": "", "id": "1383721311", "description_html": "", "title": "Explicit and recursive definitions of sequences", "progress_key": "v1383721311", "edit_slug": "edit/v/1383721311", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/explicit-and-recursive-definitions-of-sequences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T01:23:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.mp4/KRFiAlo7t1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.mp4/KRFiAlo7t1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.m3u8/KRFiAlo7t1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KRFiAlo7t1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383721311", "sha": "59c18f09b92f7d92730b9a483efa2cd17f2ce789", "translated_description": "", "image_url": "https://img.youtube.com/vi/KRFiAlo7t1E/hqdefault.jpg", "youtube_id": "KRFiAlo7t1E", "content_kind": "Video", "readable_id": "explicit-and-recursive-definitions-of-sequences"}, {"translated_youtube_id": "_cooC3yG_p0", "relative_url": "/video/arithmetic-sequences", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arithmetic-sequences", "duration": 427, "translated_title": "Arithmetic sequences", "translated_description_html": "", "id": "1383600767", "description_html": "", "title": "Arithmetic sequences", "progress_key": "v1383600767", "edit_slug": "edit/v/1383600767", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/arithmetic-sequences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-16T01:24:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_cooC3yG_p0.mp4/_cooC3yG_p0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_cooC3yG_p0.mp4/_cooC3yG_p0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_cooC3yG_p0.m3u8/_cooC3yG_p0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_cooC3yG_p0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383600767", "sha": "0443c5a6784411ced5c5aaa80a7a99717ce6a1a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/_cooC3yG_p0/hqdefault.jpg", "youtube_id": "_cooC3yG_p0", "content_kind": "Video", "readable_id": "arithmetic-sequences"}, {"translated_youtube_id": "JtsyP0tnVRY", "relative_url": "/video/finding-the-100th-term-in-a-sequence", "has_questions": false, "keywords": "U03_L1_T2_we2, Finding, the, 100th, Term, in, Sequence, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/finding-the-100th-term-in-a-sequence", "duration": 357, "translated_title": "Finding the 100th term in a sequence", "translated_description_html": "Finding the 100th Term in a Sequence", "id": "26789", "description_html": "Finding the 100th Term in a Sequence", "title": "Finding the 100th term in a sequence", "progress_key": "v26789", "edit_slug": "edit/v/26789", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the 100th Term in a Sequence", "extra_properties": null, "node_slug": "v/finding-the-100th-term-in-a-sequence", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.m3u8/JtsyP0tnVRY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JtsyP0tnVRY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26789", "sha": "5ea19ef666efef18bb5fbc8cbe522cc6d79332f2", "translated_description": "Finding the 100th Term in a Sequence", "image_url": "https://img.youtube.com/vi/JtsyP0tnVRY/hqdefault.jpg", "youtube_id": "JtsyP0tnVRY", "content_kind": "Video", "readable_id": "finding-the-100th-term-in-a-sequence"}, {"translated_youtube_id": "_3BnyEr5fG4", "relative_url": "/video/equations-of-sequence-patterns", "has_questions": false, "keywords": "U03_L1_T2_we1, Equations, of, Sequence, Patterns, CC_6_EE_5, CC_6_EE_6, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/equations-of-sequence-patterns", "duration": 516, "translated_title": "Equations of sequence patterns", "translated_description_html": "Equations of Sequence Patterns", "id": "26788", "description_html": "Equations of Sequence Patterns", "title": "Equations of sequence patterns", "progress_key": "v26788", "edit_slug": "edit/v/26788", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equations of Sequence Patterns", "extra_properties": null, "node_slug": "v/equations-of-sequence-patterns", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:28:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.mp4/_3BnyEr5fG4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.mp4/_3BnyEr5fG4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_3BnyEr5fG4.m3u8/_3BnyEr5fG4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_3BnyEr5fG4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26788", "sha": "ae159f74351d6b360f6401a0332faf7ff100c055", "translated_description": "Equations of Sequence Patterns", "image_url": "https://img.youtube.com/vi/_3BnyEr5fG4/hqdefault.jpg", "youtube_id": "_3BnyEr5fG4", "content_kind": "Video", "readable_id": "equations-of-sequence-patterns"}, {"translated_youtube_id": "rcRg_gO7-7E", "relative_url": "/video/series-as-sum-of-sequence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/series-as-sum-of-sequence", "duration": 173, "translated_title": "Series as sum of sequence", "translated_description_html": "", "id": "1393021992", "description_html": "", "title": "Series as sum of sequence", "progress_key": "v1393021992", "edit_slug": "edit/v/1393021992", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/series-as-sum-of-sequence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T19:56:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.mp4/rcRg_gO7-7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.mp4/rcRg_gO7-7E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.m3u8/rcRg_gO7-7E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcRg_gO7-7E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1393021992", "sha": "96ed07f4566a720d9ebf364b14822b14511ccb0c", "translated_description": "", "image_url": "https://img.youtube.com/vi/rcRg_gO7-7E/hqdefault.jpg", "youtube_id": "rcRg_gO7-7E", "content_kind": "Video", "readable_id": "series-as-sum-of-sequence"}, {"translated_youtube_id": "cYw4MFWsB6c", "relative_url": "/video/sum-of-arithmetic-sequence--arithmetic-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sum-of-arithmetic-sequence--arithmetic-series", "duration": 236, "translated_title": "Sum of arithmetic sequence (arithmetic series)", "translated_description_html": "", "id": "1393162637", "description_html": "", "title": "Sum of arithmetic sequence (arithmetic series)", "progress_key": "v1393162637", "edit_slug": "edit/v/1393162637", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sum-of-arithmetic-sequence--arithmetic-series", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T19:48:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cYw4MFWsB6c.mp4/cYw4MFWsB6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cYw4MFWsB6c.mp4/cYw4MFWsB6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cYw4MFWsB6c.m3u8/cYw4MFWsB6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cYw4MFWsB6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1393162637", "sha": "843ac744ea64980386ebee29c732e455564104db", "translated_description": "", "image_url": "https://img.youtube.com/vi/cYw4MFWsB6c/hqdefault.jpg", "youtube_id": "cYw4MFWsB6c", "content_kind": "Video", "readable_id": "sum-of-arithmetic-sequence--arithmetic-series"}, {"translated_youtube_id": "Uy_L8tnihDM", "relative_url": "/video/formula-for-arithmetic-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formula-for-arithmetic-series", "duration": 467, "translated_title": "Formula for arithmetic series", "translated_description_html": "", "id": "1392989924", "description_html": "", "title": "Formula for arithmetic series", "progress_key": "v1392989924", "edit_slug": "edit/v/1392989924", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/formula-for-arithmetic-series", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-19T19:49:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uy_L8tnihDM.mp4/Uy_L8tnihDM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uy_L8tnihDM.mp4/Uy_L8tnihDM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uy_L8tnihDM.m3u8/Uy_L8tnihDM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uy_L8tnihDM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1392989924", "sha": "555e962235d79e085220d82fe713ad248cfc7479", "translated_description": "", "image_url": "https://img.youtube.com/vi/Uy_L8tnihDM/hqdefault.jpg", "youtube_id": "Uy_L8tnihDM", "content_kind": "Video", "readable_id": "formula-for-arithmetic-series"}], "twitter_url": "", "translated_description": "This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explore constructing sequences where the nth term is the sum of the first n terms of another sequence (series). This is surprisingly useful in a whole series (pun intended) of applications from finance to drug dosage.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explore constructing sequences where the nth term is the sum of the first n terms of another sequence (series). This is surprisingly useful in a whole series (pun intended) of applications from finance to drug dosage.", "x_pos": 0.0, "node_slug": "seq_and_series", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T07:06:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68e77953", "topic_page_url": "/math/trigonometry/seq_induction/seq_and_series", "extended_slug": "math/trigonometry/seq_induction/seq_and_series", "slug": "seq_and_series", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "241dfbed5cd66c1b98a3a01484e5cba51fdc5c72", "standalone_title": "Sequences and series", "y_pos": 0.0, "current_revision_key": "241dfbed5cd66c1b98a3a01484e5cba51fdc5c72", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/geometric-sequence-series", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/geometric-sequence-series", "translated_standalone_title": "Geometric sequences and series", "translated_title": "Geometric sequences and series", "gplus_url": "", "id": "x8b070f29", "old_key_name": null, "hide": false, "title": "Geometric sequences and series", "child_data": [{"kind": "Video", "id": 23698}, {"kind": "Video", "id": 1383732207}, {"kind": "Exercise", "id": 1383425796}, {"kind": "Exercise", "id": 1383464822}, {"kind": "Video", "id": "xea358b4a"}, {"kind": "Video", "id": "x8bcd35c6"}, {"kind": "Video", "id": "x363f77ba"}, {"kind": "Video", "id": "xc809ee47"}, {"kind": "Video", "id": "x16f67abe"}, {"kind": "Video", "id": "x9a18b2d7"}, {"kind": "Video", "id": "x9a32c336"}, {"kind": "Video", "id": "xb23a1b53"}, {"kind": "Exercise", "id": "x05d70249"}], "children": [{"translated_youtube_id": "pXo0bG4iAyg", "relative_url": "/video/geometric-sequences--introduction", "has_questions": false, "keywords": "Geometric, Sequences, (Introduction), CC_39336_A-SSE_4", "ka_url": "http://www.khanacademy.org/video/geometric-sequences--introduction", "duration": 645, "translated_title": "Geometric sequences introduction", "translated_description_html": "An introduction to geometric sequences", "id": "23698", "description_html": "An introduction to geometric sequences", "title": "Geometric sequences introduction", "progress_key": "v23698", "edit_slug": "edit/v/23698", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to geometric sequences", "extra_properties": {"original_url": ""}, "node_slug": "v/geometric-sequences--introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:36:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pXo0bG4iAyg.mp4/pXo0bG4iAyg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pXo0bG4iAyg.mp4/pXo0bG4iAyg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pXo0bG4iAyg.m3u8/pXo0bG4iAyg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pXo0bG4iAyg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23698", "sha": "c1648d9e76be55eeac5c7913f5dc3d165705ca7c", "translated_description": "An introduction to geometric sequences", "image_url": "https://img.youtube.com/vi/pXo0bG4iAyg/hqdefault.jpg", "youtube_id": "pXo0bG4iAyg", "content_kind": "Video", "readable_id": "geometric-sequences--introduction"}, {"translated_youtube_id": "dIGLhLMsy2U", "relative_url": "/video/geometric-sequences", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-sequences", "duration": 399, "translated_title": "Geometric sequences", "translated_description_html": "", "id": "1383732207", "description_html": "", "title": "Geometric sequences", "progress_key": "v1383732207", "edit_slug": "edit/v/1383732207", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/geometric-sequences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-16T01:25:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dIGLhLMsy2U.mp4/dIGLhLMsy2U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dIGLhLMsy2U.mp4/dIGLhLMsy2U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dIGLhLMsy2U.m3u8/dIGLhLMsy2U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dIGLhLMsy2U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383732207", "sha": "ea679ed3fed71ade3468605ef407debe28563af5", "translated_description": "", "image_url": "https://img.youtube.com/vi/dIGLhLMsy2U/hqdefault.jpg", "youtube_id": "dIGLhLMsy2U", "content_kind": "Video", "readable_id": "geometric-sequences"}, {"translated_youtube_id": "5jwXThH6fg4", "relative_url": "/video/sigma-notation-sum", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sigma-notation-sum", "duration": 267, "translated_title": "Sigma notation for sums", "translated_description_html": "", "id": "xea358b4a", "description_html": "", "title": "Sigma notation for sums", "progress_key": "vxea358b4a", "edit_slug": "edit/v/xea358b4a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sigma-notation-sum", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.mp4/5jwXThH6fg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.mp4/5jwXThH6fg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.m3u8/5jwXThH6fg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5jwXThH6fg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxea358b4a", "sha": "9ae13d5a5e65073609c3d01a4043834cafb7c2fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/5jwXThH6fg4/hqdefault.jpg", "youtube_id": "5jwXThH6fg4", "content_kind": "Video", "readable_id": "sigma-notation-sum"}, {"translated_youtube_id": "CecgFWTg9pQ", "relative_url": "/video/geometric-series-introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series-introduction", "duration": 268, "translated_title": "Geometric series", "translated_description_html": "", "id": "x8bcd35c6", "description_html": "", "title": "Geometric series", "progress_key": "vx8bcd35c6", "edit_slug": "edit/v/x8bcd35c6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series-introduction", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.mp4/CecgFWTg9pQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.mp4/CecgFWTg9pQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.m3u8/CecgFWTg9pQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CecgFWTg9pQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8bcd35c6", "sha": "7e2f8cd0756af964f09766f45208ac31adef307b", "translated_description": "", "image_url": "https://img.youtube.com/vi/CecgFWTg9pQ/hqdefault.jpg", "youtube_id": "CecgFWTg9pQ", "content_kind": "Video", "readable_id": "geometric-series-introduction"}, {"translated_youtube_id": "i8THsl3AYFI", "relative_url": "/video/geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series", "duration": 578, "translated_title": "Formula for a finite geometric series", "translated_description_html": "", "id": "x363f77ba", "description_html": "", "title": "Formula for a finite geometric series", "progress_key": "vx363f77ba", "edit_slug": "edit/v/x363f77ba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.mp4/i8THsl3AYFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.mp4/i8THsl3AYFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.m3u8/i8THsl3AYFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i8THsl3AYFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx363f77ba", "sha": "5c18efba70e933517db36c42619e3ef5c9a4c8ab", "translated_description": "", "image_url": "https://img.youtube.com/vi/i8THsl3AYFI/hqdefault.jpg", "youtube_id": "i8THsl3AYFI", "content_kind": "Video", "readable_id": "geometric-series"}, {"translated_youtube_id": "b-7kCymoUpg", "relative_url": "/video/infinite-geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infinite-geometric-series", "duration": 286, "translated_title": "Sum of an infinite geometric series", "translated_description_html": "", "id": "xc809ee47", "description_html": "", "title": "Sum of an infinite geometric series", "progress_key": "vxc809ee47", "edit_slug": "edit/v/xc809ee47", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/infinite-geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.mp4/b-7kCymoUpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.mp4/b-7kCymoUpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.m3u8/b-7kCymoUpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-7kCymoUpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc809ee47", "sha": "a6262d1f9cb5dfbacee0729c0e539e616323c319", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-7kCymoUpg/hqdefault.jpg", "youtube_id": "b-7kCymoUpg", "content_kind": "Video", "readable_id": "infinite-geometric-series"}, {"translated_youtube_id": "wqnpSzEzq1w", "relative_url": "/video/deriving-geometric-series-sum-formula", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/deriving-geometric-series-sum-formula", "duration": 474, "translated_title": "Another derivation of the sum of an infinite geometric series", "translated_description_html": "", "id": "x16f67abe", "description_html": "", "title": "Another derivation of the sum of an infinite geometric series", "progress_key": "vx16f67abe", "edit_slug": "edit/v/x16f67abe", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/deriving-geometric-series-sum-formula", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.mp4/wqnpSzEzq1w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.mp4/wqnpSzEzq1w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.m3u8/wqnpSzEzq1w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wqnpSzEzq1w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16f67abe", "sha": "5c9be51a63a4ec02584db176ff594680a016e55d", "translated_description": "", "image_url": "https://img.youtube.com/vi/wqnpSzEzq1w/hqdefault.jpg", "youtube_id": "wqnpSzEzq1w", "content_kind": "Video", "readable_id": "deriving-geometric-series-sum-formula"}, {"translated_youtube_id": "KNrEAJeRIdo", "relative_url": "/video/geometric-series-convergence-divergence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series-convergence-divergence", "duration": 256, "translated_title": "Geometric series convergence and divergence examples", "translated_description_html": "", "id": "x9a18b2d7", "description_html": "", "title": "Geometric series convergence and divergence examples", "progress_key": "vx9a18b2d7", "edit_slug": "edit/v/x9a18b2d7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series-convergence-divergence", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.mp4/KNrEAJeRIdo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.mp4/KNrEAJeRIdo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.m3u8/KNrEAJeRIdo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KNrEAJeRIdo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a18b2d7", "sha": "ba25ac1b8d8c6378c0b36e14cb315d08693a7e29", "translated_description": "", "image_url": "https://img.youtube.com/vi/KNrEAJeRIdo/hqdefault.jpg", "youtube_id": "KNrEAJeRIdo", "content_kind": "Video", "readable_id": "geometric-series-convergence-divergence"}, {"translated_youtube_id": "2BgWWsypzLA", "relative_url": "/video/repeating-decimal-geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/repeating-decimal-geometric-series", "duration": 482, "translated_title": "Repeating decimal as infinite geometric series", "translated_description_html": "", "id": "x9a32c336", "description_html": "", "title": "Repeating decimal as infinite geometric series", "progress_key": "vx9a32c336", "edit_slug": "edit/v/x9a32c336", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/repeating-decimal-geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.mp4/2BgWWsypzLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.mp4/2BgWWsypzLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.m3u8/2BgWWsypzLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2BgWWsypzLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a32c336", "sha": "7d300bcf1f9890a83856be7dedbc21a1bf0ccd3a", "translated_description": "", "image_url": "https://img.youtube.com/vi/2BgWWsypzLA/hqdefault.jpg", "youtube_id": "2BgWWsypzLA", "content_kind": "Video", "readable_id": "repeating-decimal-geometric-series"}, {"translated_youtube_id": "tqTJZEglrvc", "relative_url": "/video/bouncing-ball-distance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bouncing-ball-distance", "duration": 310, "translated_title": "Vertical distance of bouncing ball", "translated_description_html": "", "id": "xb23a1b53", "description_html": "", "title": "Vertical distance of bouncing ball", "progress_key": "vxb23a1b53", "edit_slug": "edit/v/xb23a1b53", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/bouncing-ball-distance", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.mp4/tqTJZEglrvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.mp4/tqTJZEglrvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.m3u8/tqTJZEglrvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tqTJZEglrvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb23a1b53", "sha": "e30bca706a3d4782349df71b8c88688e7f4a4752", "translated_description": "", "image_url": "https://img.youtube.com/vi/tqTJZEglrvc/hqdefault.jpg", "youtube_id": "tqTJZEglrvc", "content_kind": "Video", "readable_id": "bouncing-ball-distance"}], "twitter_url": "", "translated_description": "Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric sequences series show up in life far more than you imagine. This tutorial will review all the important concepts and more!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric sequences series show up in life far more than you imagine. This tutorial will review all the important concepts and more!", "x_pos": 0.0, "node_slug": "geometric-sequence-series", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-08T20:31:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8b070f29", "topic_page_url": "/math/trigonometry/seq_induction/geometric-sequence-series", "extended_slug": "math/trigonometry/seq_induction/geometric-sequence-series", "slug": "geometric-sequence-series", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0fcdae839ee46da4a2c0a820ff005c8aef3adfd8", "standalone_title": "Geometric sequences and series", "y_pos": 0.0, "current_revision_key": "0fcdae839ee46da4a2c0a820ff005c8aef3adfd8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/advanced-sequences-series", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/advanced-sequences-series", "translated_standalone_title": "Advanced sequences and series", "translated_title": "Advanced sequences and series", "gplus_url": "", "id": "x75114185", "old_key_name": "9bmNPeXO6gPQVIMqVdF06xD76qlnqRSv3Ma1qWju", "hide": false, "title": "Advanced sequences and series", "child_data": [{"kind": "Video", "id": 1393160325}, {"kind": "Video", "id": 13179258}, {"kind": "Video", "id": 23574}, {"kind": "Video", "id": 8187469}], "children": [{"translated_youtube_id": "Naf6_lRRdyM", "relative_url": "/video/formula-for-finite-geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formula-for-finite-geometric-series", "duration": 345, "translated_title": "Formula for finite geometric series", "translated_description_html": "", "id": "1393160325", "description_html": "", "title": "Formula for finite geometric series", "progress_key": "v1393160325", "edit_slug": "edit/v/1393160325", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/formula-for-finite-geometric-series", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-19T19:55:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Naf6_lRRdyM.mp4/Naf6_lRRdyM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Naf6_lRRdyM.mp4/Naf6_lRRdyM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Naf6_lRRdyM.m3u8/Naf6_lRRdyM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Naf6_lRRdyM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1393160325", "sha": "b851b3eb52474cd31714afe9979932a4574bc5bc", "translated_description": "", "image_url": "https://img.youtube.com/vi/Naf6_lRRdyM/hqdefault.jpg", "youtube_id": "Naf6_lRRdyM", "content_kind": "Video", "readable_id": "formula-for-finite-geometric-series"}, {"translated_youtube_id": "ZFN63oTeYzc", "relative_url": "/video/2003-aime-ii-problem-8", "has_questions": false, "keywords": "arithmetic, sequence, series", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-8", "duration": 728, "translated_title": "2003 AIME II problem 8", "translated_description_html": "Sequence from the product of 2 arithmetic sequences", "id": "13179258", "description_html": "Sequence from the product of 2 arithmetic sequences", "title": "2003 AIME II problem 8", "progress_key": "v13179258", "edit_slug": "edit/v/13179258", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sequence from the product of 2 arithmetic sequences", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-8", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.mp4/ZFN63oTeYzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.mp4/ZFN63oTeYzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.m3u8/ZFN63oTeYzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZFN63oTeYzc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179258", "sha": "56757381e438a60d0c4b9b8034b37d7b69afc096", "translated_description": "Sequence from the product of 2 arithmetic sequences", "image_url": "https://img.youtube.com/vi/ZFN63oTeYzc/hqdefault.jpg", "youtube_id": "ZFN63oTeYzc", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-8"}, {"translated_youtube_id": "i05-okb1EJg", "relative_url": "/video/geometric-series-sum-to-figure-out-mortgage-payments", "has_questions": false, "keywords": "geometric, series, mortgage, math, CC_39336_A-SSE_4", "ka_url": "http://www.khanacademy.org/video/geometric-series-sum-to-figure-out-mortgage-payments", "duration": 1056, "translated_title": "Advanced: Geometric series sum to figure out mortgage payments", "translated_description_html": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "id": "23574", "description_html": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "title": "Advanced: Geometric series sum to figure out mortgage payments", "progress_key": "v23574", "edit_slug": "edit/v/23574", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "extra_properties": {"original_url": ""}, "node_slug": "v/geometric-series-sum-to-figure-out-mortgage-payments", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.m3u8/i05-okb1EJg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i05-okb1EJg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23574", "sha": "8e8415ae95a46abf6649e46d5790af9b6be848f3", "translated_description": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "image_url": "https://img.youtube.com/vi/i05-okb1EJg/hqdefault.jpg", "youtube_id": "i05-okb1EJg", "content_kind": "Video", "readable_id": "geometric-series-sum-to-figure-out-mortgage-payments"}, {"translated_youtube_id": "A6fbDssPeac", "relative_url": "/video/series-sum-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 54, Series, Sum", "ka_url": "http://www.khanacademy.org/video/series-sum-example", "duration": 858, "translated_title": "Series sum example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "id": "8187469", "description_html": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "title": "Series sum example", "progress_key": "v8187469", "edit_slug": "edit/v/8187469", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "extra_properties": null, "node_slug": "v/series-sum-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.mp4/A6fbDssPeac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.mp4/A6fbDssPeac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.m3u8/A6fbDssPeac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A6fbDssPeac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187469", "sha": "d5df6db56b5d546fcf02af447fc7a41b0c6bd58a", "translated_description": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "image_url": "https://img.youtube.com/vi/A6fbDssPeac/hqdefault.jpg", "youtube_id": "A6fbDssPeac", "content_kind": "Video", "readable_id": "series-sum-example"}], "twitter_url": "", "translated_description": "You understand what sequences and series are and the mathematical notation for them. This tutorial takes things further by exploring ideas of convergence divergence and other, more challenging topics.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You understand what sequences and series are and the mathematical notation for them. This tutorial takes things further by exploring ideas of convergence divergence and other, more challenging topics.", "x_pos": 0.0, "node_slug": "advanced-sequences-series", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75114185", "topic_page_url": "/math/trigonometry/seq_induction/advanced-sequences-series", "extended_slug": "math/trigonometry/seq_induction/advanced-sequences-series", "slug": "advanced-sequences-series", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1b49c43d1f2e168fbe13e08cdc2b907313c1511b", "standalone_title": "Advanced sequences and series", "y_pos": 0.0, "current_revision_key": "1b49c43d1f2e168fbe13e08cdc2b907313c1511b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/deductive-and-inductive-reasoning", "translated_standalone_title": "Deductive and inductive reasoning", "translated_title": "Deductive and inductive reasoning", "gplus_url": "", "id": "x23f4a2b2", "old_key_name": "cHA0eN_89o43v7bxgKyBlH9WA9B09hCFQliqO_Id", "hide": false, "title": "Deductive and inductive reasoning", "child_data": [{"kind": "Video", "id": 27088}, {"kind": "Video", "id": 27089}, {"kind": "Video", "id": 27090}, {"kind": "Video", "id": 27085}, {"kind": "Video", "id": 27086}, {"kind": "Video", "id": 27087}, {"kind": "Video", "id": 2600591}], "children": [{"translated_youtube_id": "GEId0GonOZM", "relative_url": "/video/deductive-reasoning-1", "has_questions": false, "keywords": "U12_L1_T4_we1, Deductive, Reasoning, CC_6_EE_9", "ka_url": "http://www.khanacademy.org/video/deductive-reasoning-1", "duration": 120, "translated_title": "Difference between inductive and deductive reasoning", "translated_description_html": "Deductive Reasoning 1", "id": "27088", "description_html": "Deductive Reasoning 1", "title": "Difference between inductive and deductive reasoning", "progress_key": "v27088", "edit_slug": "edit/v/27088", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deductive Reasoning 1", "extra_properties": null, "node_slug": "v/deductive-reasoning-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GEId0GonOZM.mp4/GEId0GonOZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GEId0GonOZM.mp4/GEId0GonOZM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GEId0GonOZM.m3u8/GEId0GonOZM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GEId0GonOZM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27088", "sha": "8521e77f06dd36f740444531463d3469c75ffd48", "translated_description": "Deductive Reasoning 1", "image_url": "https://img.youtube.com/vi/GEId0GonOZM/hqdefault.jpg", "youtube_id": "GEId0GonOZM", "content_kind": "Video", "readable_id": "deductive-reasoning-1"}, {"translated_youtube_id": "VMEV__2wW3E", "relative_url": "/video/deductive-reasoning-2", "has_questions": false, "keywords": "U12_L1_T4_we2, Deductive, Reasoning, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/deductive-reasoning-2", "duration": 237, "translated_title": "Deductive reasoning 2", "translated_description_html": "Deductive Reasoning 2", "id": "27089", "description_html": "Deductive Reasoning 2", "title": "Deductive reasoning 2", "progress_key": "v27089", "edit_slug": "edit/v/27089", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deductive Reasoning 2", "extra_properties": null, "node_slug": "v/deductive-reasoning-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VMEV__2wW3E.mp4/VMEV__2wW3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VMEV__2wW3E.mp4/VMEV__2wW3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VMEV__2wW3E.m3u8/VMEV__2wW3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VMEV__2wW3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27089", "sha": "315880e73ab1ce21a158d9f210f30ded0b74aba1", "translated_description": "Deductive Reasoning 2", "image_url": "https://img.youtube.com/vi/VMEV__2wW3E/hqdefault.jpg", "youtube_id": "VMEV__2wW3E", "content_kind": "Video", "readable_id": "deductive-reasoning-2"}, {"translated_youtube_id": "lYLaaMObgkw", "relative_url": "/video/deductive-reasoning-3", "has_questions": false, "keywords": "U12_L1_T4_we3, Deductive, Reasoning, CC_39336_A-APR_4", "ka_url": "http://www.khanacademy.org/video/deductive-reasoning-3", "duration": 251, "translated_title": "Deductive reasoning 3", "translated_description_html": "Deductive Reasoning 3", "id": "27090", "description_html": "Deductive Reasoning 3", "title": "Deductive reasoning 3", "progress_key": "v27090", "edit_slug": "edit/v/27090", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deductive Reasoning 3", "extra_properties": null, "node_slug": "v/deductive-reasoning-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lYLaaMObgkw.mp4/lYLaaMObgkw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lYLaaMObgkw.mp4/lYLaaMObgkw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lYLaaMObgkw.m3u8/lYLaaMObgkw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lYLaaMObgkw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27090", "sha": "773ba6c87a8104c0234ab1ff9222fc4211cc242a", "translated_description": "Deductive Reasoning 3", "image_url": "https://img.youtube.com/vi/lYLaaMObgkw/hqdefault.jpg", "youtube_id": "lYLaaMObgkw", "content_kind": "Video", "readable_id": "deductive-reasoning-3"}, {"translated_youtube_id": "MnQ7Lizkpqk", "relative_url": "/video/u12-l1-t3-we1-inductive-reasoning-1", "has_questions": false, "keywords": "U12_L1_T3_we1, Inductive, Reasoning, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/u12-l1-t3-we1-inductive-reasoning-1", "duration": 127, "translated_title": "Inductive reasoning 1", "translated_description_html": "Inductive Reasoning 1", "id": "27085", "description_html": "Inductive Reasoning 1", "title": "Inductive reasoning 1", "progress_key": "v27085", "edit_slug": "edit/v/27085", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inductive Reasoning 1", "extra_properties": null, "node_slug": "v/u12-l1-t3-we1-inductive-reasoning-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MnQ7Lizkpqk.mp4/MnQ7Lizkpqk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MnQ7Lizkpqk.mp4/MnQ7Lizkpqk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MnQ7Lizkpqk.m3u8/MnQ7Lizkpqk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MnQ7Lizkpqk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27085", "sha": "15b17215e99434635f3273495ca7f201bf6de203", "translated_description": "Inductive Reasoning 1", "image_url": "https://img.youtube.com/vi/MnQ7Lizkpqk/hqdefault.jpg", "youtube_id": "MnQ7Lizkpqk", "content_kind": "Video", "readable_id": "u12-l1-t3-we1-inductive-reasoning-1"}, {"translated_youtube_id": "ZSsBh4Ybbj8", "relative_url": "/video/inductive-reasoning-2", "has_questions": false, "keywords": "U12_L1_T3_we2, Inductive, Reasoning, CC_39336_F-BF_2", "ka_url": "http://www.khanacademy.org/video/inductive-reasoning-2", "duration": 141, "translated_title": "Inductive reasoning 2", "translated_description_html": "Inductive Reasoning 2", "id": "27086", "description_html": "Inductive Reasoning 2", "title": "Inductive reasoning 2", "progress_key": "v27086", "edit_slug": "edit/v/27086", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inductive Reasoning 2", "extra_properties": null, "node_slug": "v/inductive-reasoning-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZSsBh4Ybbj8.mp4/ZSsBh4Ybbj8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZSsBh4Ybbj8.mp4/ZSsBh4Ybbj8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZSsBh4Ybbj8.m3u8/ZSsBh4Ybbj8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZSsBh4Ybbj8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27086", "sha": "f421abdd78160b78d3c7fe765ce68635ed44bb20", "translated_description": "Inductive Reasoning 2", "image_url": "https://img.youtube.com/vi/ZSsBh4Ybbj8/hqdefault.jpg", "youtube_id": "ZSsBh4Ybbj8", "content_kind": "Video", "readable_id": "inductive-reasoning-2"}, {"translated_youtube_id": "pgfWkaySFGY", "relative_url": "/video/inductive-reasoning-3", "has_questions": false, "keywords": "U12_L1_T3_we3, Inductive, Reasoning, CC_6_EE_3", "ka_url": "http://www.khanacademy.org/video/inductive-reasoning-3", "duration": 183, "translated_title": "Inductive reasoning 3", "translated_description_html": "Inductive Reasoning 3", "id": "27087", "description_html": "Inductive Reasoning 3", "title": "Inductive reasoning 3", "progress_key": "v27087", "edit_slug": "edit/v/27087", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inductive Reasoning 3", "extra_properties": null, "node_slug": "v/inductive-reasoning-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pgfWkaySFGY.mp4/pgfWkaySFGY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pgfWkaySFGY.mp4/pgfWkaySFGY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pgfWkaySFGY.m3u8/pgfWkaySFGY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pgfWkaySFGY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27087", "sha": "3f0a41a3d010094ff98e719e9bc78ace88fc6da3", "translated_description": "Inductive Reasoning 3", "image_url": "https://img.youtube.com/vi/pgfWkaySFGY/hqdefault.jpg", "youtube_id": "pgfWkaySFGY", "content_kind": "Video", "readable_id": "inductive-reasoning-3"}, {"translated_youtube_id": "GvbrtnEYRpY", "relative_url": "/video/u03-l1-t1-we2-inductive-patterns", "has_questions": false, "keywords": "U03, L1, T1, we2, Inductive, Patterns", "ka_url": "http://www.khanacademy.org/video/u03-l1-t1-we2-inductive-patterns", "duration": 394, "translated_title": "Inductive patterns", "translated_description_html": "Inductive Patterns", "id": "2600591", "description_html": "Inductive Patterns", "title": "Inductive patterns", "progress_key": "v2600591", "edit_slug": "edit/v/2600591", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Inductive Patterns", "extra_properties": null, "node_slug": "v/u03-l1-t1-we2-inductive-patterns", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:30:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GvbrtnEYRpY.mp4/GvbrtnEYRpY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GvbrtnEYRpY.mp4/GvbrtnEYRpY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GvbrtnEYRpY.m3u8/GvbrtnEYRpY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GvbrtnEYRpY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600591", "sha": "309e749f08769d046943c04da66137b13d0246b0", "translated_description": "Inductive Patterns", "image_url": "https://img.youtube.com/vi/GvbrtnEYRpY/hqdefault.jpg", "youtube_id": "GvbrtnEYRpY", "content_kind": "Video", "readable_id": "u03-l1-t1-we2-inductive-patterns"}], "twitter_url": "", "translated_description": "You will hear the words \"deductive reasoning\" and \"inductive reasoning\" throughout your life. This very optional tutorial will give you context for what these mean.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You will hear the words \"deductive reasoning\" and \"inductive reasoning\" throughout your life. This very optional tutorial will give you context for what these mean.", "x_pos": 0.0, "node_slug": "deductive-and-inductive-reasoning", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax23f4a2b2", "topic_page_url": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning", "extended_slug": "math/trigonometry/seq_induction/deductive-and-inductive-reasoning", "slug": "deductive-and-inductive-reasoning", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "e6d8591362aee5fab225e8297fb685f9c585ba2c", "standalone_title": "Deductive and inductive reasoning", "y_pos": 0.0, "current_revision_key": "e6d8591362aee5fab225e8297fb685f9c585ba2c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/seq_induction/recursive-functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/seq_induction/recursive-functions", "translated_standalone_title": "Recursive and explicit functions", "translated_title": "Recursive functions", "gplus_url": "", "id": "x9dbd03d8", "old_key_name": null, "hide": false, "title": "Recursive functions", "child_data": [{"kind": "Video", "id": "x9e46afe9"}, {"kind": "Exercise", "id": "x9eaf696f"}], "children": [{"translated_youtube_id": "Iq7a2vEsT-o", "relative_url": "/video/converting-an-explicit-function-to-a-recursive-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/converting-an-explicit-function-to-a-recursive-function", "duration": 390, "translated_title": "Converting an explicit function to a recursive function", "translated_description_html": "", "id": "x9e46afe9", "description_html": "", "title": "Converting an explicit function to a recursive function", "progress_key": "vx9e46afe9", "edit_slug": "edit/v/x9e46afe9", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/converting-an-explicit-function-to-a-recursive-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-14T07:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iq7a2vEsT-o.mp4/Iq7a2vEsT-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iq7a2vEsT-o.mp4/Iq7a2vEsT-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iq7a2vEsT-o.m3u8/Iq7a2vEsT-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iq7a2vEsT-o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9e46afe9", "sha": "e45243da6db2370988be936570b57fedb6a0fbd2", "translated_description": "", "image_url": "https://img.youtube.com/vi/Iq7a2vEsT-o/hqdefault.jpg", "youtube_id": "Iq7a2vEsT-o", "content_kind": "Video", "readable_id": "converting-an-explicit-function-to-a-recursive-function"}], "twitter_url": "", "translated_description": "In this tutorial, we'll see that we can often define a function in terms of itself! This may seem circular and illogical at first, but, as we'll see, it is actually quite reasonable and useful!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll see that we can often define a function in terms of itself! This may seem circular and illogical at first, but, as we'll see, it is actually quite reasonable and useful!", "x_pos": 0.0, "node_slug": "recursive-functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-08T20:31:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9dbd03d8", "topic_page_url": "/math/trigonometry/seq_induction/recursive-functions", "extended_slug": "math/trigonometry/seq_induction/recursive-functions", "slug": "recursive-functions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a08aaf2aa7c5e8de754645ae8cf79c4510aa610e", "standalone_title": "Recursive and explicit functions", "y_pos": 0.0, "current_revision_key": "a08aaf2aa7c5e8de754645ae8cf79c4510aa610e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "An assortment of concepts in math that help us deal with sequences and proofs.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "An assortment of concepts in math that help us deal with sequences and proofs.", "x_pos": 0.0, "node_slug": "seq_induction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef1dc391", "topic_page_url": "/math/trigonometry/seq_induction", "extended_slug": "math/trigonometry/seq_induction", "slug": "seq_induction", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f7ccf51ad2e204ab496d6bd168a8e6d910931c9d", "standalone_title": "Sequences, series and induction", "y_pos": 0.0, "current_revision_key": "f7ccf51ad2e204ab496d6bd168a8e6d910931c9d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb", "translated_standalone_title": "Probability and combinatorics", "translated_title": "Probability and combinatorics", "gplus_url": "", "id": "x1af1e2a6", "old_key_name": "33kbNsx-5c9YwOD_xR3b2BAcP8lIK8mGhlJ9fC5j", "hide": false, "title": "Probability and combinatorics", "child_data": [{"kind": "Topic", "id": "x944c39f8"}, {"kind": "Topic", "id": "x11355f2a"}, {"kind": "Topic", "id": "x0c38289e"}, {"kind": "Topic", "id": "x2313d307"}, {"kind": "Topic", "id": "x62b12d7c"}, {"kind": "Topic", "id": "xc6045a72"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/basic_prob_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/basic_prob_precalc", "translated_standalone_title": "Basic probability", "translated_title": "Basic probability", "gplus_url": "", "id": "x944c39f8", "old_key_name": "y8cZYeh7mCx23n0LIhi5ugWlqNOYAxKSnsnec1Hd", "hide": false, "title": "Basic probability", "child_data": [{"kind": "Video", "id": 185786265}, {"kind": "Video", "id": 380860447}, {"kind": "Video", "id": 60107867}, {"kind": "Video", "id": 27091}, {"kind": "Exercise", "id": 13179429}], "children": [{"translated_youtube_id": "uzkc-qNVoOk", "relative_url": "/video/basic-probability", "has_questions": false, "keywords": "math, chance, mutually, exclusive, events, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8", "ka_url": "http://www.khanacademy.org/video/basic-probability", "duration": 498, "translated_title": "Basic probability", "translated_description_html": "An introduction to probability", "id": "185786265", "description_html": "An introduction to probability", "title": "Basic probability", "progress_key": "v185786265", "edit_slug": "edit/v/185786265", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to probability", "extra_properties": null, "node_slug": "v/basic-probability", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-03T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.m3u8/uzkc-qNVoOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzkc-qNVoOk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185786265", "sha": "ad26e4eded21da3e805395a59308221cc806ca91", "translated_description": "An introduction to probability", "image_url": "https://img.youtube.com/vi/uzkc-qNVoOk/hqdefault.jpg", "youtube_id": "uzkc-qNVoOk", "content_kind": "Video", "readable_id": "basic-probability"}, {"translated_youtube_id": "yUaI0JriZtY", "relative_url": "/video/simple-probability", "has_questions": false, "keywords": "u08_l4_t1_we1, Simple, Probability", "ka_url": "http://www.khanacademy.org/video/simple-probability", "duration": 176, "translated_title": "Example: Marbles from a bag", "translated_description_html": "The probability of picking a yellow marble from a bag.", "id": "380860447", "description_html": "The probability of picking a yellow marble from a bag.", "title": "Example: Marbles from a bag", "progress_key": "v380860447", "edit_slug": "edit/v/380860447", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability of picking a yellow marble from a bag.", "extra_properties": null, "node_slug": "v/simple-probability", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.m3u8/yUaI0JriZtY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUaI0JriZtY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860447", "sha": "7d574aab02614718a98f159a8280ac9556241544", "translated_description": "The probability of picking a yellow marble from a bag.", "image_url": "https://img.youtube.com/vi/yUaI0JriZtY/hqdefault.jpg", "youtube_id": "yUaI0JriZtY", "content_kind": "Video", "readable_id": "simple-probability"}, {"translated_youtube_id": "mLE-SlOZToc", "relative_url": "/video/probability-1-module-examples", "has_questions": false, "keywords": "probability, CC_7_SP_6, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/probability-1-module-examples", "duration": 596, "translated_title": "Example: Picking a non-blue marble", "translated_description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "id": "60107867", "description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "title": "Example: Picking a non-blue marble", "progress_key": "v60107867", "edit_slug": "edit/v/60107867", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "extra_properties": null, "node_slug": "v/probability-1-module-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-14T00:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.m3u8/mLE-SlOZToc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mLE-SlOZToc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60107867", "sha": "fa67721adfd23b27cc290d3de8576f13a6eb793d", "translated_description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "image_url": "https://img.youtube.com/vi/mLE-SlOZToc/hqdefault.jpg", "youtube_id": "mLE-SlOZToc", "content_kind": "Video", "readable_id": "probability-1-module-examples"}, {"translated_youtube_id": "cdRLBOnLTDk", "relative_url": "/video/events-and-outcomes-1", "has_questions": false, "keywords": "U12_L2_T1_we1, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-1", "duration": 131, "translated_title": "Example: Picking a yellow marble", "translated_description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "id": "27091", "description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "title": "Example: Picking a yellow marble", "progress_key": "v27091", "edit_slug": "edit/v/27091", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "extra_properties": null, "node_slug": "v/events-and-outcomes-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.m3u8/cdRLBOnLTDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cdRLBOnLTDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27091", "sha": "8fc2322ae8de2ba61c46b4d333d71f209f96912d", "translated_description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "image_url": "https://img.youtube.com/vi/cdRLBOnLTDk/hqdefault.jpg", "youtube_id": "cdRLBOnLTDk", "content_kind": "Video", "readable_id": "events-and-outcomes-1"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "basic_prob_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax944c39f8", "topic_page_url": "/math/trigonometry/prob_comb/basic_prob_precalc", "extended_slug": "math/trigonometry/prob_comb/basic_prob_precalc", "slug": "basic_prob_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "00fd351113088cf6d0a971561a1f4c175239152f", "standalone_title": "Basic probability", "y_pos": 0.0, "current_revision_key": "00fd351113088cf6d0a971561a1f4c175239152f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/addition_rule_prob_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/addition_rule_prob_precalc", "translated_standalone_title": "Venn diagrams and the addition rule", "translated_title": "Venn diagrams and the addition rule", "gplus_url": "", "id": "x11355f2a", "old_key_name": "MOoHSa0-B3Jb0bETIHOQgeGs-UTIEjdTtL4sNOMG", "hide": false, "title": "Venn diagrams and the addition rule", "child_data": [{"kind": "Video", "id": 185786264}, {"kind": "Video", "id": 188066789}], "children": [{"translated_youtube_id": "obZzOq_wSCg", "relative_url": "/video/probability-with-playing-cards-and-venn-diagrams", "has_questions": false, "keywords": "math, chance, probability", "ka_url": "http://www.khanacademy.org/video/probability-with-playing-cards-and-venn-diagrams", "duration": 602, "translated_title": "Probability with playing cards and Venn diagrams", "translated_description_html": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "id": "185786264", "description_html": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "title": "Probability with playing cards and Venn diagrams", "progress_key": "v185786264", "edit_slug": "edit/v/185786264", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "extra_properties": null, "node_slug": "v/probability-with-playing-cards-and-venn-diagrams", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-08-03T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.m3u8/obZzOq_wSCg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=obZzOq_wSCg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185786264", "sha": "ce9b24e3a198bed43e308424f7e7315d799a84d0", "translated_description": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "image_url": "https://img.youtube.com/vi/obZzOq_wSCg/hqdefault.jpg", "youtube_id": "obZzOq_wSCg", "content_kind": "Video", "readable_id": "probability-with-playing-cards-and-venn-diagrams"}, {"translated_youtube_id": "QE2uR6Z-NcU", "relative_url": "/video/addition-rule-for-probability", "has_questions": false, "keywords": "probability, statistics, venn", "ka_url": "http://www.khanacademy.org/video/addition-rule-for-probability", "duration": 643, "translated_title": "Addition rule for probability", "translated_description_html": "Venn diagrams and the addition rule for probability", "id": "188066789", "description_html": "Venn diagrams and the addition rule for probability", "title": "Addition rule for probability", "progress_key": "v188066789", "edit_slug": "edit/v/188066789", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Venn diagrams and the addition rule for probability", "extra_properties": null, "node_slug": "v/addition-rule-for-probability", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-08-06T18:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.mp4/QE2uR6Z-NcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.mp4/QE2uR6Z-NcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.m3u8/QE2uR6Z-NcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QE2uR6Z-NcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v188066789", "sha": "2b84c897a1e0027bdf72f9e29b86c4787af9a9ae", "translated_description": "Venn diagrams and the addition rule for probability", "image_url": "https://img.youtube.com/vi/QE2uR6Z-NcU/hqdefault.jpg", "youtube_id": "QE2uR6Z-NcU", "content_kind": "Video", "readable_id": "addition-rule-for-probability"}], "twitter_url": "", "translated_description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", "x_pos": 0.0, "node_slug": "addition_rule_prob_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11355f2a", "topic_page_url": "/math/trigonometry/prob_comb/addition_rule_prob_precalc", "extended_slug": "math/trigonometry/prob_comb/addition_rule_prob_precalc", "slug": "addition_rule_prob_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b15051456a170d571e27d51e87682362152eef17", "standalone_title": "Venn diagrams and the addition rule", "y_pos": 0.0, "current_revision_key": "b15051456a170d571e27d51e87682362152eef17", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/independent_events_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/independent_events_precalc", "translated_standalone_title": "Compound, independent events", "translated_title": "Compound, independent events", "gplus_url": "", "id": "x0c38289e", "old_key_name": "m2nvMCYk9dra0iR_TmJNFvYwasmuTXcDTNthdUu-", "hide": false, "title": "Compound, independent events", "child_data": [{"kind": "Video", "id": 191769945}, {"kind": "Video", "id": "x3b1c6fb6"}, {"kind": "Video", "id": "x9c048c4d"}, {"kind": "Exercise", "id": "x6ec3cabf"}, {"kind": "Video", "id": 191769946}, {"kind": "Video", "id": 27092}, {"kind": "Video", "id": 753767269}, {"kind": "Video", "id": 1022209423}, {"kind": "Video", "id": 191769947}, {"kind": "Video", "id": 27095}, {"kind": "Video", "id": 27096}, {"kind": "Exercise", "id": 757444186}], "children": [{"translated_youtube_id": "xSc4oLA9e8o", "relative_url": "/video/compound-probability-of-independent-events", "has_questions": false, "keywords": "probability, statistics, coin, fair", "ka_url": "http://www.khanacademy.org/video/compound-probability-of-independent-events", "duration": 360, "translated_title": "Compound probability of independent events", "translated_description_html": "Probability of particular sequences of flips", "id": "191769945", "description_html": "Probability of particular sequences of flips", "title": "Compound probability of independent events", "progress_key": "v191769945", "edit_slug": "edit/v/191769945", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of particular sequences of flips", "extra_properties": null, "node_slug": "v/compound-probability-of-independent-events", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.m3u8/xSc4oLA9e8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xSc4oLA9e8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769945", "sha": "7f64a31bdfc0cbc1147bd8ff5fa8c95726d26c14", "translated_description": "Probability of particular sequences of flips", "image_url": "https://img.youtube.com/vi/xSc4oLA9e8o/hqdefault.jpg", "youtube_id": "xSc4oLA9e8o", "content_kind": "Video", "readable_id": "compound-probability-of-independent-events"}, {"translated_youtube_id": "4fBXIcO0It4", "relative_url": "/video/compound-events-tree-diagram", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/compound-events-tree-diagram", "duration": 144, "translated_title": "Compound events example with tree diagram", "translated_description_html": "", "id": "x3b1c6fb6", "description_html": "", "title": "Compound events example with tree diagram", "progress_key": "vx3b1c6fb6", "edit_slug": "edit/v/x3b1c6fb6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/compound-events-tree-diagram", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2013-09-26T18:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4fBXIcO0It4.mp4/4fBXIcO0It4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4fBXIcO0It4.mp4/4fBXIcO0It4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4fBXIcO0It4.m3u8/4fBXIcO0It4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4fBXIcO0It4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3b1c6fb6", "sha": "3f3abae0b96536abe1b53305d102b09e71827b84", "translated_description": "", "image_url": "https://img.youtube.com/vi/4fBXIcO0It4/hqdefault.jpg", "youtube_id": "4fBXIcO0It4", "content_kind": "Video", "readable_id": "compound-events-tree-diagram"}, {"translated_youtube_id": "9mU3MVtsqic", "relative_url": "/video/compound-events-diagram", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/compound-events-diagram", "duration": 145, "translated_title": "Compound events example using diagram", "translated_description_html": "", "id": "x9c048c4d", "description_html": "", "title": "Compound events example using diagram", "progress_key": "vx9c048c4d", "edit_slug": "edit/v/x9c048c4d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/compound-events-diagram", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2013-09-26T18:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9mU3MVtsqic.mp4/9mU3MVtsqic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9mU3MVtsqic.mp4/9mU3MVtsqic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9mU3MVtsqic.m3u8/9mU3MVtsqic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9mU3MVtsqic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9c048c4d", "sha": "dbe0d57844f9bca0329fbcf4e3d77330823f879f", "translated_description": "", "image_url": "https://img.youtube.com/vi/9mU3MVtsqic/hqdefault.jpg", "youtube_id": "9mU3MVtsqic", "content_kind": "Video", "readable_id": "compound-events-diagram"}, {"translated_youtube_id": "mkyZ45KQYi4", "relative_url": "/video/getting-at-least-one-heads", "has_questions": false, "keywords": "probability, statistics", "ka_url": "http://www.khanacademy.org/video/getting-at-least-one-heads", "duration": 560, "translated_title": "Getting at least one head", "translated_description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "id": "191769946", "description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "title": "Getting at least one head", "progress_key": "v191769946", "edit_slug": "edit/v/191769946", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting at least one heads in multiple flips of a fair coin", "extra_properties": null, "node_slug": "v/getting-at-least-one-heads", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.m3u8/mkyZ45KQYi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mkyZ45KQYi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769946", "sha": "c689de107e1c2aea19420a840fa3543b6d2c0296", "translated_description": "Probability of getting at least one heads in multiple flips of a fair coin", "image_url": "https://img.youtube.com/vi/mkyZ45KQYi4/hqdefault.jpg", "youtube_id": "mkyZ45KQYi4", "content_kind": "Video", "readable_id": "getting-at-least-one-heads"}, {"translated_youtube_id": "O4Qnsubo2tg", "relative_url": "/video/events-and-outcomes-2", "has_questions": false, "keywords": "U12_L2_T1_we2, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-2", "duration": 315, "translated_title": "Example: Probability of rolling doubles", "translated_description_html": "Thinking about the probability of rolling doubles on a pair of dice", "id": "27092", "description_html": "Thinking about the probability of rolling doubles on a pair of dice", "title": "Example: Probability of rolling doubles", "progress_key": "v27092", "edit_slug": "edit/v/27092", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the probability of rolling doubles on a pair of dice", "extra_properties": null, "node_slug": "v/events-and-outcomes-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.m3u8/O4Qnsubo2tg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O4Qnsubo2tg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27092", "sha": "1d73ac0d07e2c8d5acb9bbabeb713a77b894a4e7", "translated_description": "Thinking about the probability of rolling doubles on a pair of dice", "image_url": "https://img.youtube.com/vi/O4Qnsubo2tg/hqdefault.jpg", "youtube_id": "O4Qnsubo2tg", "content_kind": "Video", "readable_id": "events-and-outcomes-2"}, {"translated_youtube_id": "iMqCSgqzmiQ", "relative_url": "/video/lebron-asks-about-the-chances-of-making-10-free-throws", "has_questions": false, "keywords": "marquee, lebron, james, probability, miami, heat, khan, academy, marquee", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-the-chances-of-making-10-free-throws", "duration": 425, "translated_title": "LeBron asks: What are the chances of making 10 free throws in a row?", "translated_description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "id": "753767269", "description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "title": "LeBron asks: What are the chances of making 10 free throws in a row?", "progress_key": "v753767269", "edit_slug": "edit/v/753767269", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "extra_properties": null, "node_slug": "v/lebron-asks-about-the-chances-of-making-10-free-throws", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-04-30T15:16:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.m3u8/iMqCSgqzmiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iMqCSgqzmiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v753767269", "sha": "9c4cadca1ed9299e2cbc8d7d232c21433764430f", "translated_description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "image_url": "https://img.youtube.com/vi/iMqCSgqzmiQ/hqdefault.jpg", "youtube_id": "iMqCSgqzmiQ", "content_kind": "Video", "readable_id": "lebron-asks-about-the-chances-of-making-10-free-throws"}, {"translated_youtube_id": "PddbEVNMgTY", "relative_url": "/video/lebron-asks-about-free-throws-versus-three-pointers", "has_questions": false, "keywords": "probability, math, basketball", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-free-throws-versus-three-pointers", "duration": 347, "translated_title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "translated_description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "id": "1022209423", "description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "progress_key": "v1022209423", "edit_slug": "edit/v/1022209423", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "extra_properties": null, "node_slug": "v/lebron-asks-about-free-throws-versus-three-pointers", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-09-05T05:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.m3u8/PddbEVNMgTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PddbEVNMgTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022209423", "sha": "bcb9bc80fdd090bb5dbe8c01b7c85a674f1497fa", "translated_description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "image_url": "https://img.youtube.com/vi/PddbEVNMgTY/hqdefault.jpg", "youtube_id": "PddbEVNMgTY", "content_kind": "Video", "readable_id": "lebron-asks-about-free-throws-versus-three-pointers"}, {"translated_youtube_id": "RI874OSJp1U", "relative_url": "/video/frequency-probability-and-unfair-coins", "has_questions": false, "keywords": "probability, statistics, chance", "ka_url": "http://www.khanacademy.org/video/frequency-probability-and-unfair-coins", "duration": 538, "translated_title": "Frequency probability and unfair coins", "translated_description_html": "A different way of thinking about probability when we don't have equally likely events", "id": "191769947", "description_html": "A different way of thinking about probability when we don't have equally likely events", "title": "Frequency probability and unfair coins", "progress_key": "v191769947", "edit_slug": "edit/v/191769947", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A different way of thinking about probability when we don't have equally likely events", "extra_properties": null, "node_slug": "v/frequency-probability-and-unfair-coins", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.m3u8/RI874OSJp1U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RI874OSJp1U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769947", "sha": "da2068594ee7efef68422442b0cb0eab6d601a7d", "translated_description": "A different way of thinking about probability when we don't have equally likely events", "image_url": "https://img.youtube.com/vi/RI874OSJp1U/hqdefault.jpg", "youtube_id": "RI874OSJp1U", "content_kind": "Video", "readable_id": "frequency-probability-and-unfair-coins"}, {"translated_youtube_id": "VWAfEbgf1Po", "relative_url": "/video/independent-events-2", "has_questions": false, "keywords": "U12_L2_T2_we2, Independent, Events, CC_7_SP_8_b, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/independent-events-2", "duration": 284, "translated_title": "Example: Getting two questions right on an exam", "translated_description_html": "Probability of two independent events occuring.", "id": "27095", "description_html": "Probability of two independent events occuring.", "title": "Example: Getting two questions right on an exam", "progress_key": "v27095", "edit_slug": "edit/v/27095", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of two independent events occuring.", "extra_properties": null, "node_slug": "v/independent-events-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.m3u8/VWAfEbgf1Po.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VWAfEbgf1Po&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27095", "sha": "d6348864846efae08355622eb2e85b34705a3cd8", "translated_description": "Probability of two independent events occuring.", "image_url": "https://img.youtube.com/vi/VWAfEbgf1Po/hqdefault.jpg", "youtube_id": "VWAfEbgf1Po", "content_kind": "Video", "readable_id": "independent-events-2"}, {"translated_youtube_id": "2MYA8Ba2PvM", "relative_url": "/video/independent-events-3", "has_questions": false, "keywords": "U12_L2_T2_we3, Independent, Events, CC_7_SP_6", "ka_url": "http://www.khanacademy.org/video/independent-events-3", "duration": 148, "translated_title": "Example: Rolling even three times", "translated_description_html": "Another example showing the probability of rolling an even number three times in a row.", "id": "27096", "description_html": "Another example showing the probability of rolling an even number three times in a row.", "title": "Example: Rolling even three times", "progress_key": "v27096", "edit_slug": "edit/v/27096", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example showing the probability of rolling an even number three times in a row.", "extra_properties": null, "node_slug": "v/independent-events-3", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.m3u8/2MYA8Ba2PvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2MYA8Ba2PvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27096", "sha": "3035ed1ec090fd1bd0e994a60b7fe9ad1e967857", "translated_description": "Another example showing the probability of rolling an even number three times in a row.", "image_url": "https://img.youtube.com/vi/2MYA8Ba2PvM/hqdefault.jpg", "youtube_id": "2MYA8Ba2PvM", "content_kind": "Video", "readable_id": "independent-events-3"}], "twitter_url": "", "translated_description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", "x_pos": 0.0, "node_slug": "independent_events_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T18:42:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0c38289e", "topic_page_url": "/math/trigonometry/prob_comb/independent_events_precalc", "extended_slug": "math/trigonometry/prob_comb/independent_events_precalc", "slug": "independent_events_precalc", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "858d87b2036789c7f5742a741296fb29d21e5f2a", "standalone_title": "Compound, independent events", "y_pos": 0.0, "current_revision_key": "858d87b2036789c7f5742a741296fb29d21e5f2a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/dependent_events_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/dependent_events_precalc", "translated_standalone_title": "Dependent events", "translated_title": "Dependent events", "gplus_url": "", "id": "x2313d307", "old_key_name": "CjHhX0C4NrwjqYznAfcs2r3NRuvyhG8lhuhJiC8c", "hide": false, "title": "Dependent events", "child_data": [{"kind": "Video", "id": 1200026245}, {"kind": "Video", "id": 94879656}, {"kind": "Video", "id": 27094}, {"kind": "Video", "id": 94879657}, {"kind": "Exercise", "id": 13179407}, {"kind": "Video", "id": 878209052}], "children": [{"translated_youtube_id": "VjLEoo3hIoM", "relative_url": "/video/introduction-to-dependent-probability", "has_questions": false, "keywords": "dependent, replacement, probability, independent, events", "ka_url": "http://www.khanacademy.org/video/introduction-to-dependent-probability", "duration": 398, "translated_title": "Introduction to dependent probability", "translated_description_html": "Deciding whether you want to play a game at a strange casino.", "id": "1200026245", "description_html": "Deciding whether you want to play a game at a strange casino.", "title": "Introduction to dependent probability", "progress_key": "v1200026245", "edit_slug": "edit/v/1200026245", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deciding whether you want to play a game at a strange casino.", "extra_properties": null, "node_slug": "v/introduction-to-dependent-probability", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-12-05T18:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.mp4/VjLEoo3hIoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.mp4/VjLEoo3hIoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.m3u8/VjLEoo3hIoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VjLEoo3hIoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1200026245", "sha": "b7884bc1010fa34b597d26c18b7a8df776951be7", "translated_description": "Deciding whether you want to play a game at a strange casino.", "image_url": "https://img.youtube.com/vi/VjLEoo3hIoM/hqdefault.jpg", "youtube_id": "VjLEoo3hIoM", "content_kind": "Video", "readable_id": "introduction-to-dependent-probability"}, {"translated_youtube_id": "xPUm5SUVzTE", "relative_url": "/video/dependent-probability-example-1", "has_questions": false, "keywords": "probability, coins, unfair", "ka_url": "http://www.khanacademy.org/video/dependent-probability-example-1", "duration": 541, "translated_title": "Example: Dependent probability", "translated_description_html": "Thinking about how the probability of an event can be dependent on another event occuring.", "id": "94879656", "description_html": "Thinking about how the probability of an event can be dependent on another event occuring.", "title": "Example: Dependent probability", "progress_key": "v94879656", "edit_slug": "edit/v/94879656", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how the probability of an event can be dependent on another event occuring.", "extra_properties": null, "node_slug": "v/dependent-probability-example-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-05-23T23:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.m3u8/xPUm5SUVzTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xPUm5SUVzTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v94879656", "sha": "d811de0700dadae8e08c6c1a50bab0bfefedbf88", "translated_description": "Thinking about how the probability of an event can be dependent on another event occuring.", "image_url": "https://img.youtube.com/vi/xPUm5SUVzTE/hqdefault.jpg", "youtube_id": "xPUm5SUVzTE", "content_kind": "Video", "readable_id": "dependent-probability-example-1"}, {"translated_youtube_id": "Za7G_eWKiF4", "relative_url": "/video/independent-events-1", "has_questions": false, "keywords": "U12_L2_T2_we1, Independent, Events", "ka_url": "http://www.khanacademy.org/video/independent-events-1", "duration": 159, "translated_title": "Example: Is an event independent or dependent?", "translated_description_html": "Independent Events 1", "id": "27094", "description_html": "Independent Events 1", "title": "Example: Is an event independent or dependent?", "progress_key": "v27094", "edit_slug": "edit/v/27094", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Independent Events 1", "extra_properties": null, "node_slug": "v/independent-events-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.mp4/Za7G_eWKiF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.mp4/Za7G_eWKiF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.m3u8/Za7G_eWKiF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Za7G_eWKiF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27094", "sha": "4bfcabf3363600c4afd8b609a78f917730886619", "translated_description": "Independent Events 1", "image_url": "https://img.youtube.com/vi/Za7G_eWKiF4/hqdefault.jpg", "youtube_id": "Za7G_eWKiF4", "content_kind": "Video", "readable_id": "independent-events-1"}, {"translated_youtube_id": "7BkcNLOf56w", "relative_url": "/video/dependent-probability-example-2", "has_questions": false, "keywords": "coin, unfair, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/dependent-probability-example-2", "duration": 394, "translated_title": "Example: Bag of unfair coins", "translated_description_html": "Example where the probability of an outcome is dependent on which coin you happen to pick", "id": "94879657", "description_html": "Example where the probability of an outcome is dependent on which coin you happen to pick", "title": "Example: Bag of unfair coins", "progress_key": "v94879657", "edit_slug": "edit/v/94879657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example where the probability of an outcome is dependent on which coin you happen to pick", "extra_properties": null, "node_slug": "v/dependent-probability-example-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-05-23T23:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.m3u8/7BkcNLOf56w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7BkcNLOf56w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v94879657", "sha": "d72360c4fdd242d5ae1fd9e1e05afdf45b1dbd66", "translated_description": "Example where the probability of an outcome is dependent on which coin you happen to pick", "image_url": "https://img.youtube.com/vi/7BkcNLOf56w/hqdefault.jpg", "youtube_id": "7BkcNLOf56w", "content_kind": "Video", "readable_id": "dependent-probability-example-2"}, {"translated_youtube_id": "Xp6V_lO1ZKA", "relative_url": "/video/monty-hall-problem", "has_questions": false, "keywords": "probability, monty, hall, lets, make, deal", "ka_url": "http://www.khanacademy.org/video/monty-hall-problem", "duration": 443, "translated_title": "Monty Hall problem", "translated_description_html": "Presentation and analysis of the famous Monty Hall Problem", "id": "878209052", "description_html": "Presentation and analysis of the famous Monty Hall Problem", "title": "Monty Hall problem", "progress_key": "v878209052", "edit_slug": "edit/v/878209052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Presentation and analysis of the famous Monty Hall Problem", "extra_properties": null, "node_slug": "v/monty-hall-problem", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-06-29T00:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.mp4/Xp6V_lO1ZKA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.mp4/Xp6V_lO1ZKA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.m3u8/Xp6V_lO1ZKA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xp6V_lO1ZKA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878209052", "sha": "cd07a1a2887768ab80f071e469f10848adeda8cb", "translated_description": "Presentation and analysis of the famous Monty Hall Problem", "image_url": "https://img.youtube.com/vi/Xp6V_lO1ZKA/hqdefault.jpg", "youtube_id": "Xp6V_lO1ZKA", "content_kind": "Video", "readable_id": "monty-hall-problem"}], "twitter_url": "", "translated_description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", "x_pos": 0.0, "node_slug": "dependent_events_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2313d307", "topic_page_url": "/math/trigonometry/prob_comb/dependent_events_precalc", "extended_slug": "math/trigonometry/prob_comb/dependent_events_precalc", "slug": "dependent_events_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6bd357c34664d8db9f459c3c50425265938aa5aa", "standalone_title": "Dependent events", "y_pos": 0.0, "current_revision_key": "6bd357c34664d8db9f459c3c50425265938aa5aa", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/combinatorics_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/combinatorics_precalc", "translated_standalone_title": "Permutations and combinations", "translated_title": "Permutations and combinations", "gplus_url": "", "id": "x62b12d7c", "old_key_name": "x4VNwBkxYU-r-2PKYFMD1rLw9y5rHfCwkeYeI8h3", "hide": false, "title": "Permutations and combinations", "child_data": [{"kind": "Video", "id": 25802}, {"kind": "Video", "id": 25804}, {"kind": "Exercise", "id": 297933680}, {"kind": "Video", "id": 27097}, {"kind": "Video", "id": 27099}, {"kind": "Video", "id": 27098}, {"kind": "Exercise", "id": 917305998}, {"kind": "Exercise", "id": 937485754}, {"kind": "Exercise", "id": 937561152}], "children": [{"translated_youtube_id": "XqQTXW7XfYA", "relative_url": "/video/permutations", "has_questions": false, "keywords": "permutations", "ka_url": "http://www.khanacademy.org/video/permutations", "duration": 611, "translated_title": "Permutations", "translated_description_html": "Introduction to permutations", "id": "25802", "description_html": "Introduction to permutations", "title": "Permutations", "progress_key": "v25802", "edit_slug": "edit/v/25802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to permutations", "extra_properties": null, "node_slug": "v/permutations", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.mp4/XqQTXW7XfYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.mp4/XqQTXW7XfYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.m3u8/XqQTXW7XfYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XqQTXW7XfYA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25802", "sha": "319ae062b7fe588d5d4baaf8a5c9f709c9283c7a", "translated_description": "Introduction to permutations", "image_url": "https://img.youtube.com/vi/XqQTXW7XfYA/hqdefault.jpg", "youtube_id": "XqQTXW7XfYA", "content_kind": "Video", "readable_id": "permutations"}, {"translated_youtube_id": "bCxMhncR7PU", "relative_url": "/video/combinations", "has_questions": false, "keywords": "combinations", "ka_url": "http://www.khanacademy.org/video/combinations", "duration": 616, "translated_title": "Combinations", "translated_description_html": "Introduction to combinations", "id": "25804", "description_html": "Introduction to combinations", "title": "Combinations", "progress_key": "v25804", "edit_slug": "edit/v/25804", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to combinations", "extra_properties": null, "node_slug": "v/combinations", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.mp4/bCxMhncR7PU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.mp4/bCxMhncR7PU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.m3u8/bCxMhncR7PU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bCxMhncR7PU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25804", "sha": "3c0500fb211f4ab1bcf03849b284e42ad4c586a7", "translated_description": "Introduction to combinations", "image_url": "https://img.youtube.com/vi/bCxMhncR7PU/hqdefault.jpg", "youtube_id": "bCxMhncR7PU", "content_kind": "Video", "readable_id": "combinations"}, {"translated_youtube_id": "oQpKtm5TtxU", "relative_url": "/video/permutations-and-combinations-1", "has_questions": false, "keywords": "U12_L2_T3_we1, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-1", "duration": 225, "translated_title": "Example: Ways to arrange colors", "translated_description_html": "Thinking about how many ways you can pick four colors from a group of 6", "id": "27097", "description_html": "Thinking about how many ways you can pick four colors from a group of 6", "title": "Example: Ways to arrange colors", "progress_key": "v27097", "edit_slug": "edit/v/27097", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how many ways you can pick four colors from a group of 6", "extra_properties": null, "node_slug": "v/permutations-and-combinations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.m3u8/oQpKtm5TtxU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oQpKtm5TtxU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27097", "sha": "cd87969a248f2bb2b22e173cddd75eedb4996d6d", "translated_description": "Thinking about how many ways you can pick four colors from a group of 6", "image_url": "https://img.youtube.com/vi/oQpKtm5TtxU/hqdefault.jpg", "youtube_id": "oQpKtm5TtxU", "content_kind": "Video", "readable_id": "permutations-and-combinations-1"}, {"translated_youtube_id": "SbpoyXTpC84", "relative_url": "/video/permutations-and-combinations-3", "has_questions": false, "keywords": "U12_L2_T3_we3, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-3", "duration": 462, "translated_title": "Example: 9 card hands", "translated_description_html": "Thinking about how many ways we can construct a hand of 9 cards", "id": "27099", "description_html": "Thinking about how many ways we can construct a hand of 9 cards", "title": "Example: 9 card hands", "progress_key": "v27099", "edit_slug": "edit/v/27099", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how many ways we can construct a hand of 9 cards", "extra_properties": null, "node_slug": "v/permutations-and-combinations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.mp4/SbpoyXTpC84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.mp4/SbpoyXTpC84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.m3u8/SbpoyXTpC84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SbpoyXTpC84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27099", "sha": "4d8c7a5d51cb557eec166be59acaf666c3b2ed55", "translated_description": "Thinking about how many ways we can construct a hand of 9 cards", "image_url": "https://img.youtube.com/vi/SbpoyXTpC84/hqdefault.jpg", "youtube_id": "SbpoyXTpC84", "content_kind": "Video", "readable_id": "permutations-and-combinations-3"}, {"translated_youtube_id": "v9NLtiVt3XY", "relative_url": "/video/permutations-and-combinations-2", "has_questions": false, "keywords": "U12_L2_T3_we2, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-2", "duration": 139, "translated_title": "Example: Ways to pick officers", "translated_description_html": "How many ways can we pick officers for our organization?", "id": "27098", "description_html": "How many ways can we pick officers for our organization?", "title": "Example: Ways to pick officers", "progress_key": "v27098", "edit_slug": "edit/v/27098", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How many ways can we pick officers for our organization?", "extra_properties": null, "node_slug": "v/permutations-and-combinations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.m3u8/v9NLtiVt3XY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v9NLtiVt3XY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27098", "sha": "8307347fb36b61dded477c6dd5a2eda994bc03d2", "translated_description": "How many ways can we pick officers for our organization?", "image_url": "https://img.youtube.com/vi/v9NLtiVt3XY/hqdefault.jpg", "youtube_id": "v9NLtiVt3XY", "content_kind": "Video", "readable_id": "permutations-and-combinations-2"}], "twitter_url": "", "translated_description": "If want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't what order they are in or how they are posed (okay, of course you care about their awesome poses)?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't what order they are in or how they are posed (okay, of course you care about their awesome poses)?", "x_pos": 0.0, "node_slug": "combinatorics_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax62b12d7c", "topic_page_url": "/math/trigonometry/prob_comb/combinatorics_precalc", "extended_slug": "math/trigonometry/prob_comb/combinatorics_precalc", "slug": "combinatorics_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "2f3eb2b20b8ee1d3f74589dfff7ba296b2f4691a", "standalone_title": "Permutations and combinations", "y_pos": 0.0, "current_revision_key": "2f3eb2b20b8ee1d3f74589dfff7ba296b2f4691a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/prob_comb/prob_combinatorics_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/prob_comb/prob_combinatorics_precalc", "translated_standalone_title": "Probability using combinatorics", "translated_title": "Probability using combinatorics", "gplus_url": "", "id": "xc6045a72", "old_key_name": "LV3MxFQnJG93erxXKeRV7O_IMXTzo3WyPyTcCCex", "hide": false, "title": "Probability using combinatorics", "child_data": [{"kind": "Video", "id": 27093}, {"kind": "Video", "id": 380860449}, {"kind": "Video", "id": 193210641}, {"kind": "Video", "id": 25853}, {"kind": "Video", "id": 25851}, {"kind": "Video", "id": 193210640}, {"kind": "Video", "id": 27101}, {"kind": "Video", "id": 27102}, {"kind": "Video", "id": 27100}, {"kind": "Video", "id": 690344673}, {"kind": "Video", "id": 193210639}, {"kind": "Video", "id": 25855}, {"kind": "Video", "id": 1317894497}, {"kind": "Video", "id": 25857}, {"kind": "Exercise", "id": 956845911}], "children": [{"translated_youtube_id": "3_otNr9kRuY", "relative_url": "/video/events-and-outcomes-3", "has_questions": false, "keywords": "U12_L2_T1_we3, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-3", "duration": 129, "translated_title": "Example: Probability through counting outcomes", "translated_description_html": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "id": "27093", "description_html": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "title": "Example: Probability through counting outcomes", "progress_key": "v27093", "edit_slug": "edit/v/27093", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "extra_properties": null, "node_slug": "v/events-and-outcomes-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.mp4/3_otNr9kRuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.mp4/3_otNr9kRuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.m3u8/3_otNr9kRuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_otNr9kRuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27093", "sha": "aacb9fd3e11b9d915b88bfb92cd3056c3ddb19f1", "translated_description": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "image_url": "https://img.youtube.com/vi/3_otNr9kRuY/hqdefault.jpg", "youtube_id": "3_otNr9kRuY", "content_kind": "Video", "readable_id": "events-and-outcomes-3"}, {"translated_youtube_id": "3UlE8gyKbkU", "relative_url": "/video/coin-flipping-example", "has_questions": false, "keywords": "u08_l4_t1_we3, Coin, Flipping, Example", "ka_url": "http://www.khanacademy.org/video/coin-flipping-example", "duration": 134, "translated_title": "Example: All the ways you can flip a coin", "translated_description_html": "Manually going through the combinatorics to determine the probability of an event occuring", "id": "380860449", "description_html": "Manually going through the combinatorics to determine the probability of an event occuring", "title": "Example: All the ways you can flip a coin", "progress_key": "v380860449", "edit_slug": "edit/v/380860449", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Manually going through the combinatorics to determine the probability of an event occuring", "extra_properties": null, "node_slug": "v/coin-flipping-example", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.mp4/3UlE8gyKbkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.mp4/3UlE8gyKbkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.m3u8/3UlE8gyKbkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3UlE8gyKbkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860449", "sha": "af2d880fa1865cf04d2b5f8d59f98f5c59740118", "translated_description": "Manually going through the combinatorics to determine the probability of an event occuring", "image_url": "https://img.youtube.com/vi/3UlE8gyKbkU/hqdefault.jpg", "youtube_id": "3UlE8gyKbkU", "content_kind": "Video", "readable_id": "coin-flipping-example"}, {"translated_youtube_id": "8TIben0bJpU", "relative_url": "/video/getting-exactly-two-heads--combinatorics", "has_questions": false, "keywords": "probability, combinatorics", "ka_url": "http://www.khanacademy.org/video/getting-exactly-two-heads--combinatorics", "duration": 600, "translated_title": "Getting exactly two heads (combinatorics)", "translated_description_html": "A different way to think about the probability of getting 2 heads in 4 flips", "id": "193210641", "description_html": "A different way to think about the probability of getting 2 heads in 4 flips", "title": "Getting exactly two heads (combinatorics)", "progress_key": "v193210641", "edit_slug": "edit/v/193210641", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A different way to think about the probability of getting 2 heads in 4 flips", "extra_properties": null, "node_slug": "v/getting-exactly-two-heads--combinatorics", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.mp4/8TIben0bJpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.mp4/8TIben0bJpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.m3u8/8TIben0bJpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8TIben0bJpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210641", "sha": "82351cea0cf3aa36004a152a629194938c582ab0", "translated_description": "A different way to think about the probability of getting 2 heads in 4 flips", "image_url": "https://img.youtube.com/vi/8TIben0bJpU/hqdefault.jpg", "youtube_id": "8TIben0bJpU", "content_kind": "Video", "readable_id": "getting-exactly-two-heads--combinatorics"}, {"translated_youtube_id": "W7DmsJKLoxc", "relative_url": "/video/probability-and-combinations--part-2", "has_questions": false, "keywords": "probability, combinations, basketball", "ka_url": "http://www.khanacademy.org/video/probability-and-combinations--part-2", "duration": 636, "translated_title": "Probability and combinations (part 2)", "translated_description_html": "Making at least 3 out of 5 free throws.", "id": "25853", "description_html": "Making at least 3 out of 5 free throws.", "title": "Probability and combinations (part 2)", "progress_key": "v25853", "edit_slug": "edit/v/25853", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Making at least 3 out of 5 free throws.", "extra_properties": null, "node_slug": "v/probability-and-combinations--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.m3u8/W7DmsJKLoxc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7DmsJKLoxc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25853", "sha": "d52c5bae9a341f20f68de527c6d8d219ef053218", "translated_description": "Making at least 3 out of 5 free throws.", "image_url": "https://img.youtube.com/vi/W7DmsJKLoxc/hqdefault.jpg", "youtube_id": "W7DmsJKLoxc", "content_kind": "Video", "readable_id": "probability-and-combinations--part-2"}, {"translated_youtube_id": "Xqfcy1rqMbI", "relative_url": "/video/probability-using-combinations", "has_questions": false, "keywords": "probability, combinations, coin", "ka_url": "http://www.khanacademy.org/video/probability-using-combinations", "duration": 550, "translated_title": "Probability using combinations", "translated_description_html": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "id": "25851", "description_html": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "title": "Probability using combinations", "progress_key": "v25851", "edit_slug": "edit/v/25851", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "extra_properties": null, "node_slug": "v/probability-using-combinations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.mp4/Xqfcy1rqMbI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.mp4/Xqfcy1rqMbI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.m3u8/Xqfcy1rqMbI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xqfcy1rqMbI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25851", "sha": "697136f14f5ef3dc170e1eff29dbbf9c5769abae", "translated_description": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "image_url": "https://img.youtube.com/vi/Xqfcy1rqMbI/hqdefault.jpg", "youtube_id": "Xqfcy1rqMbI", "content_kind": "Video", "readable_id": "probability-using-combinations"}, {"translated_youtube_id": "udG9KhNMKJw", "relative_url": "/video/exactly-three-heads-in-five-flips", "has_questions": false, "keywords": "probability, statistics", "ka_url": "http://www.khanacademy.org/video/exactly-three-heads-in-five-flips", "duration": 411, "translated_title": "Exactly three heads in five flips", "translated_description_html": "Probability of exactly 3 heads in 5 flips using combinations", "id": "193210640", "description_html": "Probability of exactly 3 heads in 5 flips using combinations", "title": "Exactly three heads in five flips", "progress_key": "v193210640", "edit_slug": "edit/v/193210640", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of exactly 3 heads in 5 flips using combinations", "extra_properties": null, "node_slug": "v/exactly-three-heads-in-five-flips", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.mp4/udG9KhNMKJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.mp4/udG9KhNMKJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.m3u8/udG9KhNMKJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=udG9KhNMKJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210640", "sha": "bfe6ffcc2557421fadf2d9258993f47ab9c80fc5", "translated_description": "Probability of exactly 3 heads in 5 flips using combinations", "image_url": "https://img.youtube.com/vi/udG9KhNMKJw/hqdefault.jpg", "youtube_id": "udG9KhNMKJw", "content_kind": "Video", "readable_id": "exactly-three-heads-in-five-flips"}, {"translated_youtube_id": "l9ft9jpriNA", "relative_url": "/video/probability-of-dependent-events", "has_questions": false, "keywords": "U12_L2_T4_we2, Probability, of, Dependent, Events, CC_7_SP_7", "ka_url": "http://www.khanacademy.org/video/probability-of-dependent-events", "duration": 143, "translated_title": "Example: Different ways to pick officers", "translated_description_html": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "id": "27101", "description_html": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "title": "Example: Different ways to pick officers", "progress_key": "v27101", "edit_slug": "edit/v/27101", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "extra_properties": null, "node_slug": "v/probability-of-dependent-events", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.mp4/l9ft9jpriNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.mp4/l9ft9jpriNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.m3u8/l9ft9jpriNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l9ft9jpriNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27101", "sha": "85cae85a071c49fbacfab1dc73786903d837fda3", "translated_description": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "image_url": "https://img.youtube.com/vi/l9ft9jpriNA/hqdefault.jpg", "youtube_id": "l9ft9jpriNA", "content_kind": "Video", "readable_id": "probability-of-dependent-events"}, {"translated_youtube_id": "ccrYD6iX_SY", "relative_url": "/video/probability-of-dependent-events-2", "has_questions": false, "keywords": "U12_L2_T4_we3, Probability, of, Dependent, Events, CC_7_SP_7", "ka_url": "http://www.khanacademy.org/video/probability-of-dependent-events-2", "duration": 651, "translated_title": "Example: Combinatorics and probability", "translated_description_html": "Probability of getting a set of cards", "id": "27102", "description_html": "Probability of getting a set of cards", "title": "Example: Combinatorics and probability", "progress_key": "v27102", "edit_slug": "edit/v/27102", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of getting a set of cards", "extra_properties": null, "node_slug": "v/probability-of-dependent-events-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.m3u8/ccrYD6iX_SY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ccrYD6iX_SY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27102", "sha": "dc1e181548bbcae16d9af4afdfe29cfae1d30887", "translated_description": "Probability of getting a set of cards", "image_url": "https://img.youtube.com/vi/ccrYD6iX_SY/hqdefault.jpg", "youtube_id": "ccrYD6iX_SY", "content_kind": "Video", "readable_id": "probability-of-dependent-events-2"}, {"translated_youtube_id": "DIjlllgq3dc", "relative_url": "/video/permutations-and-combinations-4", "has_questions": false, "keywords": "U12_L2_T4_we1, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-4", "duration": 310, "translated_title": "Example: Lottery probability", "translated_description_html": "What is the probability of winning a 4-number lottery?", "id": "27100", "description_html": "What is the probability of winning a 4-number lottery?", "title": "Example: Lottery probability", "progress_key": "v27100", "edit_slug": "edit/v/27100", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is the probability of winning a 4-number lottery?", "extra_properties": null, "node_slug": "v/permutations-and-combinations-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.mp4/DIjlllgq3dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.mp4/DIjlllgq3dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.m3u8/DIjlllgq3dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DIjlllgq3dc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27100", "sha": "879099c946523b9fdb9c2b9ce66bfbb67622872f", "translated_description": "What is the probability of winning a 4-number lottery?", "image_url": "https://img.youtube.com/vi/DIjlllgq3dc/hqdefault.jpg", "youtube_id": "DIjlllgq3dc", "content_kind": "Video", "readable_id": "permutations-and-combinations-4"}, {"translated_youtube_id": "gyqodNhM3EU", "relative_url": "/video/mega-millions-jackpot-probability", "has_questions": false, "keywords": "probability, combinations, choose", "ka_url": "http://www.khanacademy.org/video/mega-millions-jackpot-probability", "duration": 330, "translated_title": "Mega millions jackpot probability", "translated_description_html": "Probability of winning the Mega Millions jackpot", "id": "690344673", "description_html": "Probability of winning the Mega Millions jackpot", "title": "Mega millions jackpot probability", "progress_key": "v690344673", "edit_slug": "edit/v/690344673", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of winning the Mega Millions jackpot", "extra_properties": null, "node_slug": "v/mega-millions-jackpot-probability", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-28T22:36:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.m3u8/gyqodNhM3EU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gyqodNhM3EU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v690344673", "sha": "03940702aa390f09c081cdbc735d12d2c71d32e0", "translated_description": "Probability of winning the Mega Millions jackpot", "image_url": "https://img.youtube.com/vi/gyqodNhM3EU/hqdefault.jpg", "youtube_id": "gyqodNhM3EU", "content_kind": "Video", "readable_id": "mega-millions-jackpot-probability"}, {"translated_youtube_id": "AOsWph2FNLw", "relative_url": "/video/generalizing-with-binomial-coefficients--bit-advanced", "has_questions": false, "keywords": "probability, combinations", "ka_url": "http://www.khanacademy.org/video/generalizing-with-binomial-coefficients--bit-advanced", "duration": 700, "translated_title": "Generalizing with binomial coefficients (bit advanced)", "translated_description_html": "Conceptual understanding of where the formula for binomial coefficients come from", "id": "193210639", "description_html": "Conceptual understanding of where the formula for binomial coefficients come from", "title": "Generalizing with binomial coefficients (bit advanced)", "progress_key": "v193210639", "edit_slug": "edit/v/193210639", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of where the formula for binomial coefficients come from", "extra_properties": null, "node_slug": "v/generalizing-with-binomial-coefficients--bit-advanced", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.m3u8/AOsWph2FNLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AOsWph2FNLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210639", "sha": "6db19ec1364adb9142c79b1ef47d913c6914cdcc", "translated_description": "Conceptual understanding of where the formula for binomial coefficients come from", "image_url": "https://img.youtube.com/vi/AOsWph2FNLw/hqdefault.jpg", "youtube_id": "AOsWph2FNLw", "content_kind": "Video", "readable_id": "generalizing-with-binomial-coefficients--bit-advanced"}, {"translated_youtube_id": "xw6utjoyMi4", "relative_url": "/video/conditional-probability-and-combinations", "has_questions": false, "keywords": "conditional, probability, combinations", "ka_url": "http://www.khanacademy.org/video/conditional-probability-and-combinations", "duration": 1012, "translated_title": "Conditional probability and combinations", "translated_description_html": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "id": "25855", "description_html": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "title": "Conditional probability and combinations", "progress_key": "v25855", "edit_slug": "edit/v/25855", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "extra_properties": null, "node_slug": "v/conditional-probability-and-combinations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.m3u8/xw6utjoyMi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xw6utjoyMi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25855", "sha": "1148f25a90e0ecd8db8951fc7aa1f5240f4a22c9", "translated_description": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "image_url": "https://img.youtube.com/vi/xw6utjoyMi4/hqdefault.jpg", "youtube_id": "xw6utjoyMi4", "content_kind": "Video", "readable_id": "conditional-probability-and-combinations"}, {"translated_youtube_id": "Zxm4Xxvzohk", "relative_url": "/video/bayes-theorem-visualized", "has_questions": false, "keywords": "bayes theorem, conditional probability, probability", "ka_url": "http://www.khanacademy.org/video/bayes-theorem-visualized", "duration": 306, "translated_title": "Conditional probability (Bayes' theorem) visualized", "translated_description_html": "Conditional probability visualized using trees.", "id": "1317894497", "description_html": "Conditional probability visualized using trees.", "title": "Conditional probability (Bayes' theorem) visualized", "progress_key": "v1317894497", "edit_slug": "edit/v/1317894497", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conditional probability visualized using trees.", "extra_properties": {"original_url": ""}, "node_slug": "v/bayes-theorem-visualized", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T07:55:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.m3u8/Zxm4Xxvzohk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zxm4Xxvzohk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1317894497", "sha": "717b4dac747fffac41a778c3b3eecd35ef445603", "translated_description": "Conditional probability visualized using trees.", "image_url": "https://img.youtube.com/vi/Zxm4Xxvzohk/hqdefault.jpg", "youtube_id": "Zxm4Xxvzohk", "content_kind": "Video", "readable_id": "bayes-theorem-visualized"}, {"translated_youtube_id": "9G0w61pZPig", "relative_url": "/video/birthday-probability-problem", "has_questions": false, "keywords": "probability, birthday", "ka_url": "http://www.khanacademy.org/video/birthday-probability-problem", "duration": 796, "translated_title": "Birthday probability problem", "translated_description_html": "The probability that at least 2 people in a room of 30 share the same birthday.", "id": "25857", "description_html": "The probability that at least 2 people in a room of 30 share the same birthday.", "title": "Birthday probability problem", "progress_key": "v25857", "edit_slug": "edit/v/25857", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability that at least 2 people in a room of 30 share the same birthday.", "extra_properties": null, "node_slug": "v/birthday-probability-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.mp4/9G0w61pZPig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.mp4/9G0w61pZPig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.m3u8/9G0w61pZPig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9G0w61pZPig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25857", "sha": "dcbe315d133235f502208e41778e1a657229c144", "translated_description": "The probability that at least 2 people in a room of 30 share the same birthday.", "image_url": "https://img.youtube.com/vi/9G0w61pZPig/hqdefault.jpg", "youtube_id": "9G0w61pZPig", "content_kind": "Video", "readable_id": "birthday-probability-problem"}], "twitter_url": "", "translated_description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", "x_pos": 0.0, "node_slug": "prob_combinatorics_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-15T20:14:49Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc6045a72", "topic_page_url": "/math/trigonometry/prob_comb/prob_combinatorics_precalc", "extended_slug": "math/trigonometry/prob_comb/prob_combinatorics_precalc", "slug": "prob_combinatorics_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "86751ddd1141ea147cca6d36d093c89fed5dcff0", "standalone_title": "Probability using combinatorics", "y_pos": 0.0, "current_revision_key": "86751ddd1141ea147cca6d36d093c89fed5dcff0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Basics of probability and combinatorics", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Basics of probability and combinatorics", "x_pos": 0.0, "node_slug": "prob_comb", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1af1e2a6", "topic_page_url": "/math/trigonometry/prob_comb", "extended_slug": "math/trigonometry/prob_comb", "slug": "prob_comb", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5e94b95d2732f7914282bfe315591b8191fac65b", "standalone_title": "Probability and combinatorics", "y_pos": 0.0, "current_revision_key": "5e94b95d2732f7914282bfe315591b8191fac65b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/imaginary_complex_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc", "translated_standalone_title": "Imaginary and complex numbers", "translated_title": "Imaginary and complex numbers", "gplus_url": "", "id": "x1dd60c20", "old_key_name": "Pls5RrYwZUmrIF9jiYzhvyB0qKDdnB3fikjYGg8a", "hide": false, "title": "Imaginary and complex numbers", "child_data": [{"kind": "Topic", "id": "x3e480242"}, {"kind": "Topic", "id": "x7bc8cadd"}, {"kind": "Topic", "id": "xadd2ba7f"}, {"kind": "Topic", "id": "x75e0e0fa"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/imaginary_complex_precalc/i_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/i_precalc", "translated_standalone_title": "The imaginary unit i", "translated_title": "The imaginary unit i", "gplus_url": "", "id": "x3e480242", "old_key_name": "LlJnI9uw0KVgZtYgXFOTW-ZtuK7FCOVbHWs0OAyg", "hide": false, "title": "The imaginary unit i", "child_data": [{"kind": "Video", "id": 145918385}, {"kind": "Video", "id": 145918384}, {"kind": "Exercise", "id": 523254889}, {"kind": "Video", "id": 150088079}, {"kind": "Video", "id": 148079183}], "children": [{"translated_youtube_id": "ysVcAYo7UPI", "relative_url": "/video/introduction-to-i-and-imaginary-numbers", "has_questions": false, "keywords": "imaginary, unit, complex, numbers, exponents", "ka_url": "http://www.khanacademy.org/video/introduction-to-i-and-imaginary-numbers", "duration": 320, "translated_title": "Introduction to i and imaginary numbers", "translated_description_html": "Introduction to i and imaginary numbers", "id": "145918385", "description_html": "Introduction to i and imaginary numbers", "title": "Introduction to i and imaginary numbers", "progress_key": "v145918385", "edit_slug": "edit/v/145918385", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to i and imaginary numbers", "extra_properties": null, "node_slug": "v/introduction-to-i-and-imaginary-numbers", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-11T23:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.mp4/ysVcAYo7UPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.mp4/ysVcAYo7UPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ysVcAYo7UPI.m3u8/ysVcAYo7UPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ysVcAYo7UPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145918385", "sha": "f4488180a39b0d25c6fa65c642550156f02a69ee", "translated_description": "Introduction to i and imaginary numbers", "image_url": "https://img.youtube.com/vi/ysVcAYo7UPI/hqdefault.jpg", "youtube_id": "ysVcAYo7UPI", "content_kind": "Video", "readable_id": "introduction-to-i-and-imaginary-numbers"}, {"translated_youtube_id": "QiwfF83NWNA", "relative_url": "/video/calculating-i-raised-to-arbitrary-exponents", "has_questions": false, "keywords": "complex, imaginary, numbers", "ka_url": "http://www.khanacademy.org/video/calculating-i-raised-to-arbitrary-exponents", "duration": 380, "translated_title": "Calculating i raised to arbitrary exponents", "translated_description_html": "Calculating i raised to arbitrarily high exponents", "id": "145918384", "description_html": "Calculating i raised to arbitrarily high exponents", "title": "Calculating i raised to arbitrary exponents", "progress_key": "v145918384", "edit_slug": "edit/v/145918384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating i raised to arbitrarily high exponents", "extra_properties": null, "node_slug": "v/calculating-i-raised-to-arbitrary-exponents", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-11T23:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.mp4/QiwfF83NWNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.mp4/QiwfF83NWNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QiwfF83NWNA.m3u8/QiwfF83NWNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QiwfF83NWNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145918384", "sha": "7f9b971b5d5b8fa3f4c30c00ce1df0b26fc22843", "translated_description": "Calculating i raised to arbitrarily high exponents", "image_url": "https://img.youtube.com/vi/QiwfF83NWNA/hqdefault.jpg", "youtube_id": "QiwfF83NWNA", "content_kind": "Video", "readable_id": "calculating-i-raised-to-arbitrary-exponents"}, {"translated_youtube_id": "s03qez-6JMA", "relative_url": "/video/imaginary-roots-of-negative-numbers", "has_questions": false, "keywords": "u16_l4_t1_we2, Imaginary, Roots, of, Negative, Numbers", "ka_url": "http://www.khanacademy.org/video/imaginary-roots-of-negative-numbers", "duration": 244, "translated_title": "Imaginary roots of negative numbers", "translated_description_html": "Imaginary Roots of Negative Numbers", "id": "150088079", "description_html": "Imaginary Roots of Negative Numbers", "title": "Imaginary roots of negative numbers", "progress_key": "v150088079", "edit_slug": "edit/v/150088079", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Imaginary Roots of Negative Numbers", "extra_properties": null, "node_slug": "v/imaginary-roots-of-negative-numbers", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.mp4/s03qez-6JMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.mp4/s03qez-6JMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s03qez-6JMA.m3u8/s03qez-6JMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s03qez-6JMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088079", "sha": "a6dbb06f7a9a432c28062e53cf10e8bd3a78b7ba", "translated_description": "Imaginary Roots of Negative Numbers", "image_url": "https://img.youtube.com/vi/s03qez-6JMA/hqdefault.jpg", "youtube_id": "s03qez-6JMA", "content_kind": "Video", "readable_id": "imaginary-roots-of-negative-numbers"}, {"translated_youtube_id": "rYG1D5lUE4I", "relative_url": "/video/i-as-the-principal-root-of--1--a-little-technical", "has_questions": false, "keywords": "complex, imagnary, numbers", "ka_url": "http://www.khanacademy.org/video/i-as-the-principal-root-of--1--a-little-technical", "duration": 404, "translated_title": "i as the principal root of -1 (a little technical)", "translated_description_html": "i as the principal square root of -1", "id": "148079183", "description_html": "i as the principal square root of -1", "title": "i as the principal root of -1 (a little technical)", "progress_key": "v148079183", "edit_slug": "edit/v/148079183", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "i as the principal square root of -1", "extra_properties": null, "node_slug": "v/i-as-the-principal-root-of--1--a-little-technical", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-07-12T23:26:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.m3u8/rYG1D5lUE4I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rYG1D5lUE4I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v148079183", "sha": "7e99e7415e85486b717b6f50ed3a4ed1e352943f", "translated_description": "i as the principal square root of -1", "image_url": "https://img.youtube.com/vi/rYG1D5lUE4I/hqdefault.jpg", "youtube_id": "rYG1D5lUE4I", "content_kind": "Video", "readable_id": "i-as-the-principal-root-of--1--a-little-technical"}], "twitter_url": "", "translated_description": "This is where math starts to get really cool. It may see strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is where math starts to get really cool. It may see strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", "x_pos": 0.0, "node_slug": "i_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e480242", "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/i_precalc", "extended_slug": "math/trigonometry/imaginary_complex_precalc/i_precalc", "slug": "i_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "deaccd66ac6b04deb73c3eae0f3bacd7d2b5c824", "standalone_title": "The imaginary unit i", "y_pos": 0.0, "current_revision_key": "deaccd66ac6b04deb73c3eae0f3bacd7d2b5c824", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/complex_num_precalc", "translated_standalone_title": "Complex numbers", "translated_title": "Complex numbers", "gplus_url": "", "id": "x7bc8cadd", "old_key_name": "AViRclY9b7socdcYBAUfR8N5M9tdSz5sAdHeqZ_v", "hide": false, "title": "Complex numbers", "child_data": [{"kind": "Video", "id": 150088082}, {"kind": "Video", "id": 23488}, {"kind": "Video", "id": 23490}, {"kind": "Exercise", "id": 523235921}, {"kind": "Video", "id": 150088080}, {"kind": "Video", "id": 150088077}, {"kind": "Exercise", "id": 1440060790}, {"kind": "Exercise", "id": 1383488718}, {"kind": "Exercise", "id": 523319125}, {"kind": "Video", "id": 150088076}, {"kind": "Exercise", "id": 523337087}, {"kind": "Video", "id": 150088083}, {"kind": "Exercise", "id": 523311311}, {"kind": "Exercise", "id": 1439973730}, {"kind": "Video", "id": 8187550}, {"kind": "Video", "id": 150088078}, {"kind": "Exercise", "id": 523341553}], "children": [{"translated_youtube_id": "MEuPzvh0roM", "relative_url": "/video/complex-numbers", "has_questions": false, "keywords": "u16_l4_t1_we1, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/complex-numbers", "duration": 141, "translated_title": "Complex numbers", "translated_description_html": "

Complex Numbers<\/p>\n", "id": "150088082", "description_html": "

Complex Numbers<\/p>\n", "title": "Complex numbers", "progress_key": "v150088082", "edit_slug": "edit/v/150088082", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Numbers\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.m3u8/MEuPzvh0roM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MEuPzvh0roM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088082", "sha": "1ce3dbbb811df7168e40efefba03317c0c676c78", "translated_description": "Complex Numbers\n", "image_url": "https://img.youtube.com/vi/MEuPzvh0roM/hqdefault.jpg", "youtube_id": "MEuPzvh0roM", "content_kind": "Video", "readable_id": "complex-numbers"}, {"translated_youtube_id": "kpywdu1afas", "relative_url": "/video/complex-numbers--part-1", "has_questions": false, "keywords": "math, complex, imaginary, numbers", "ka_url": "http://www.khanacademy.org/video/complex-numbers--part-1", "duration": 610, "translated_title": "Complex numbers (part 1)", "translated_description_html": "

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.<\/p>\n", "id": "23488", "description_html": "

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.<\/p>\n", "title": "Complex numbers (part 1)", "progress_key": "v23488", "edit_slug": "edit/v/23488", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.m3u8/kpywdu1afas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kpywdu1afas&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23488", "sha": "828a3a7a8a9a2d7b5e56a5a823d456944fd0d29f", "translated_description": "Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.\n", "image_url": "https://img.youtube.com/vi/kpywdu1afas/hqdefault.jpg", "youtube_id": "kpywdu1afas", "content_kind": "Video", "readable_id": "complex-numbers--part-1"}, {"translated_youtube_id": "bPqB9a1uk_8", "relative_url": "/video/complex-numbers--part-2", "has_questions": false, "keywords": "Complex, number, division, conjugate, math", "ka_url": "http://www.khanacademy.org/video/complex-numbers--part-2", "duration": 538, "translated_title": "Complex numbers (part 2)", "translated_description_html": "

Dividing complex numbers. Complex conjugates.<\/p>\n", "id": "23490", "description_html": "

Dividing complex numbers. Complex conjugates.<\/p>\n", "title": "Complex numbers (part 2)", "progress_key": "v23490", "edit_slug": "edit/v/23490", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dividing complex numbers. Complex conjugates.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-numbers--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.mp4/bPqB9a1uk_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.mp4/bPqB9a1uk_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bPqB9a1uk_8.m3u8/bPqB9a1uk_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bPqB9a1uk_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23490", "sha": "ca456e77bc8a77926b705260b9fc72d651b6290c", "translated_description": "Dividing complex numbers. Complex conjugates.\n", "image_url": "https://img.youtube.com/vi/bPqB9a1uk_8/hqdefault.jpg", "youtube_id": "bPqB9a1uk_8", "content_kind": "Video", "readable_id": "complex-numbers--part-2"}, {"translated_youtube_id": "SfbjqVyQljk", "relative_url": "/video/adding-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we1, Adding, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/adding-complex-numbers", "duration": 71, "translated_title": "Adding complex numbers", "translated_description_html": "Adding Complex Numbers", "id": "150088080", "description_html": "Adding Complex Numbers", "title": "Adding complex numbers", "progress_key": "v150088080", "edit_slug": "edit/v/150088080", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Adding Complex Numbers", "extra_properties": null, "node_slug": "v/adding-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.m3u8/SfbjqVyQljk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SfbjqVyQljk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088080", "sha": "6abe65ac1c11acafbfc3bc713ccf3eeb8e75853f", "translated_description": "Adding Complex Numbers", "image_url": "https://img.youtube.com/vi/SfbjqVyQljk/hqdefault.jpg", "youtube_id": "SfbjqVyQljk", "content_kind": "Video", "readable_id": "adding-complex-numbers"}, {"translated_youtube_id": "tvXRaZbIjO8", "relative_url": "/video/subtracting-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we2, Subtracting, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/subtracting-complex-numbers", "duration": 113, "translated_title": "Subtracting complex numbers", "translated_description_html": "Subtracting Complex Numbers", "id": "150088077", "description_html": "Subtracting Complex Numbers", "title": "Subtracting complex numbers", "progress_key": "v150088077", "edit_slug": "edit/v/150088077", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Subtracting Complex Numbers", "extra_properties": null, "node_slug": "v/subtracting-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.mp4/tvXRaZbIjO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.mp4/tvXRaZbIjO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvXRaZbIjO8.m3u8/tvXRaZbIjO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvXRaZbIjO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088077", "sha": "bf13665ae42fab390e085046869e292ef9122230", "translated_description": "Subtracting Complex Numbers", "image_url": "https://img.youtube.com/vi/tvXRaZbIjO8/hqdefault.jpg", "youtube_id": "tvXRaZbIjO8", "content_kind": "Video", "readable_id": "subtracting-complex-numbers"}, {"translated_youtube_id": "cWn6g8Qqvs4", "relative_url": "/video/multiplying-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we3, Multiplying, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/multiplying-complex-numbers", "duration": 332, "translated_title": "Multiplying complex numbers", "translated_description_html": "Multiplying Complex Numbers", "id": "150088076", "description_html": "Multiplying Complex Numbers", "title": "Multiplying complex numbers", "progress_key": "v150088076", "edit_slug": "edit/v/150088076", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Multiplying Complex Numbers", "extra_properties": null, "node_slug": "v/multiplying-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.m3u8/cWn6g8Qqvs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cWn6g8Qqvs4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088076", "sha": "b4abda34424999c63397b51866d36f5ae61b79cb", "translated_description": "Multiplying Complex Numbers", "image_url": "https://img.youtube.com/vi/cWn6g8Qqvs4/hqdefault.jpg", "youtube_id": "cWn6g8Qqvs4", "content_kind": "Video", "readable_id": "multiplying-complex-numbers"}, {"translated_youtube_id": "Z8j5RDOibV4", "relative_url": "/video/dividing-complex-numbers", "has_questions": false, "keywords": "u16_l4_t2_we5, Dividing, Complex, Numbers", "ka_url": "http://www.khanacademy.org/video/dividing-complex-numbers", "duration": 298, "translated_title": "Dividing complex numbers", "translated_description_html": "Dividing Complex Numbers", "id": "150088083", "description_html": "Dividing Complex Numbers", "title": "Dividing complex numbers", "progress_key": "v150088083", "edit_slug": "edit/v/150088083", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dividing Complex Numbers", "extra_properties": null, "node_slug": "v/dividing-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.m3u8/Z8j5RDOibV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z8j5RDOibV4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088083", "sha": "ebb2309a0c0247280d2fde25723279e6d4201958", "translated_description": "Dividing Complex Numbers", "image_url": "https://img.youtube.com/vi/Z8j5RDOibV4/hqdefault.jpg", "youtube_id": "Z8j5RDOibV4", "content_kind": "Video", "readable_id": "dividing-complex-numbers"}, {"translated_youtube_id": "BZxZ_eEuJBM", "relative_url": "/video/complex-conjugates", "has_questions": false, "keywords": "Complex, Conjugates, argand, real, imaginary", "ka_url": "http://www.khanacademy.org/video/complex-conjugates", "duration": 483, "translated_title": "Complex conjugates", "translated_description_html": "Complex Conjugates", "id": "8187550", "description_html": "Complex Conjugates", "title": "Complex conjugates", "progress_key": "v8187550", "edit_slug": "edit/v/8187550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Complex Conjugates", "extra_properties": null, "node_slug": "v/complex-conjugates", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.mp4/BZxZ_eEuJBM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.mp4/BZxZ_eEuJBM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.m3u8/BZxZ_eEuJBM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BZxZ_eEuJBM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187550", "sha": "770b14a627eca7c9779abf8b57e256e96b546a12", "translated_description": "Complex Conjugates", "image_url": "https://img.youtube.com/vi/BZxZ_eEuJBM/hqdefault.jpg", "youtube_id": "BZxZ_eEuJBM", "content_kind": "Video", "readable_id": "complex-conjugates"}, {"translated_youtube_id": "dbxJ6LD0344", "relative_url": "/video/complex-conjugates-example", "has_questions": false, "keywords": "u16_l4_t2_we4, Complex, Conjugates", "ka_url": "http://www.khanacademy.org/video/complex-conjugates-example", "duration": 241, "translated_title": "Complex conjugates example", "translated_description_html": "Complex Conjugates", "id": "150088078", "description_html": "Complex Conjugates", "title": "Complex conjugates example", "progress_key": "v150088078", "edit_slug": "edit/v/150088078", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Complex Conjugates", "extra_properties": null, "node_slug": "v/complex-conjugates-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.mp4/dbxJ6LD0344.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.mp4/dbxJ6LD0344.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dbxJ6LD0344.m3u8/dbxJ6LD0344.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dbxJ6LD0344&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150088078", "sha": "73f00fd198daab605291241795baff9ca0724781", "translated_description": "Complex Conjugates", "image_url": "https://img.youtube.com/vi/dbxJ6LD0344/hqdefault.jpg", "youtube_id": "dbxJ6LD0344", "content_kind": "Video", "readable_id": "complex-conjugates-example"}], "twitter_url": "", "translated_description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", "x_pos": 0.0, "node_slug": "complex_num_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7bc8cadd", "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc", "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_num_precalc", "slug": "complex_num_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7e98b7a724b59473b4c223f7faad91cb061010fd", "standalone_title": "Complex numbers", "y_pos": 0.0, "current_revision_key": "7e98b7a724b59473b4c223f7faad91cb061010fd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/imaginary_complex_precalc/complex_analysis", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/complex_analysis", "translated_standalone_title": "Intro to complex analysis", "translated_title": "Intro to complex analysis", "gplus_url": "", "id": "xadd2ba7f", "old_key_name": "o4RhCzrcOkgr8m5mgro36vf8TIxWr0v9ZNDx3kFc", "hide": false, "title": "Intro to complex analysis", "child_data": [{"kind": "Video", "id": 8187548}, {"kind": "Video", "id": "x1c5a5296"}, {"kind": "Exercise", "id": 1440060790}, {"kind": "Video", "id": 8187549}, {"kind": "Exercise", "id": 1439973730}, {"kind": "Exercise", "id": 1440119505}, {"kind": "Video", "id": 8187550}], "children": [{"translated_youtube_id": "FwuPXchH2rA", "relative_url": "/video/basic-complex-analysis", "has_questions": false, "keywords": "Argand, Diagram, magnitude, modulus, argument, exponential, form, complex", "ka_url": "http://www.khanacademy.org/video/basic-complex-analysis", "duration": 784, "translated_title": "Basic complex analysis", "translated_description_html": "Argand Diagram, magnitude, modulus, argument, exponential form", "id": "8187548", "description_html": "Argand Diagram, magnitude, modulus, argument, exponential form", "title": "Basic complex analysis", "progress_key": "v8187548", "edit_slug": "edit/v/8187548", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Argand Diagram, magnitude, modulus, argument, exponential form", "extra_properties": null, "node_slug": "v/basic-complex-analysis", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwuPXchH2rA.mp4/FwuPXchH2rA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwuPXchH2rA.mp4/FwuPXchH2rA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FwuPXchH2rA.m3u8/FwuPXchH2rA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FwuPXchH2rA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187548", "sha": "e1b2b27314bb1725d22d994066497eb6a8c6443f", "translated_description": "Argand Diagram, magnitude, modulus, argument, exponential form", "image_url": "https://img.youtube.com/vi/FwuPXchH2rA/hqdefault.jpg", "youtube_id": "FwuPXchH2rA", "content_kind": "Video", "readable_id": "basic-complex-analysis"}, {"translated_youtube_id": "YZRzt_AsuVs", "relative_url": "/video/complex-number-polar-form-intuition-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/complex-number-polar-form-intuition-exercise", "duration": 361, "translated_title": "Complex number polar form intuition exercise", "translated_description_html": "", "id": "x1c5a5296", "description_html": "", "title": "Complex number polar form intuition exercise", "progress_key": "vx1c5a5296", "edit_slug": "edit/v/x1c5a5296", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/complex-number-polar-form-intuition-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-06T22:58:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YZRzt_AsuVs.mp4/YZRzt_AsuVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YZRzt_AsuVs.mp4/YZRzt_AsuVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YZRzt_AsuVs.m3u8/YZRzt_AsuVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YZRzt_AsuVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1c5a5296", "sha": "da9ff3e4b810f47098a3fb70eb1acaafcabbc85e", "translated_description": "", "image_url": "https://img.youtube.com/vi/YZRzt_AsuVs/hqdefault.jpg", "youtube_id": "YZRzt_AsuVs", "content_kind": "Video", "readable_id": "complex-number-polar-form-intuition-exercise"}, {"translated_youtube_id": "N0Y8ia57C24", "relative_url": "/video/exponential-form-to-find-complex-roots", "has_questions": false, "keywords": "Exponential, form, to, find, complex, roots, real, imaginary, argument, magintude", "ka_url": "http://www.khanacademy.org/video/exponential-form-to-find-complex-roots", "duration": 713, "translated_title": "Exponential form to find complex roots", "translated_description_html": "Using exponential form to find complex roots", "id": "8187549", "description_html": "Using exponential form to find complex roots", "title": "Exponential form to find complex roots", "progress_key": "v8187549", "edit_slug": "edit/v/8187549", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using exponential form to find complex roots", "extra_properties": null, "node_slug": "v/exponential-form-to-find-complex-roots", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N0Y8ia57C24.mp4/N0Y8ia57C24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N0Y8ia57C24.mp4/N0Y8ia57C24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N0Y8ia57C24.m3u8/N0Y8ia57C24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N0Y8ia57C24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187549", "sha": "6ebd05e49f77aba6d2b2c0917b490a0856b25fe9", "translated_description": "Using exponential form to find complex roots", "image_url": "https://img.youtube.com/vi/N0Y8ia57C24/hqdefault.jpg", "youtube_id": "N0Y8ia57C24", "content_kind": "Video", "readable_id": "exponential-form-to-find-complex-roots"}, {"translated_youtube_id": "BZxZ_eEuJBM", "relative_url": "/video/complex-conjugates", "has_questions": false, "keywords": "Complex, Conjugates, argand, real, imaginary", "ka_url": "http://www.khanacademy.org/video/complex-conjugates", "duration": 483, "translated_title": "Complex conjugates", "translated_description_html": "Complex Conjugates", "id": "8187550", "description_html": "Complex Conjugates", "title": "Complex conjugates", "progress_key": "v8187550", "edit_slug": "edit/v/8187550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Complex Conjugates", "extra_properties": null, "node_slug": "v/complex-conjugates", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:51:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.mp4/BZxZ_eEuJBM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.mp4/BZxZ_eEuJBM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BZxZ_eEuJBM.m3u8/BZxZ_eEuJBM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BZxZ_eEuJBM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187550", "sha": "770b14a627eca7c9779abf8b57e256e96b546a12", "translated_description": "Complex Conjugates", "image_url": "https://img.youtube.com/vi/BZxZ_eEuJBM/hqdefault.jpg", "youtube_id": "BZxZ_eEuJBM", "content_kind": "Video", "readable_id": "complex-conjugates"}], "twitter_url": "", "translated_description": "You know what imaginary and complex numbers are, but want to start digging a bit deeper. In this tutorial, we will explore different ways of representing a complex number and finding its roots.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what imaginary and complex numbers are, but want to start digging a bit deeper. In this tutorial, we will explore different ways of representing a complex number and finding its roots.", "x_pos": 0.0, "node_slug": "complex_analysis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T23:03:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axadd2ba7f", "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_analysis", "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_analysis", "slug": "complex_analysis", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "905485e205b13f2e051aedbbb79beb016a59447a", "standalone_title": "Intro to complex analysis", "y_pos": 0.0, "current_revision_key": "905485e205b13f2e051aedbbb79beb016a59447a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/imaginary_complex_precalc/complex_number_challenge", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/complex_number_challenge", "translated_standalone_title": "Challenging complex number problem", "translated_title": "Challenging complex number problems", "gplus_url": "", "id": "x75e0e0fa", "old_key_name": "GDg5aVCmVZ_9mWmAZj_p5_WqxWObTdVHyZs_NATM", "hide": false, "title": "Challenging complex number problems", "child_data": [{"kind": "Video", "id": 8187445}, {"kind": "Video", "id": 8187446}, {"kind": "Video", "id": 8187447}, {"kind": "Video", "id": 8187468}], "children": [{"translated_youtube_id": "_5ei_I02huY", "relative_url": "/video/iit-jee-complex-numbers--part-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 1)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-1", "duration": 441, "translated_title": "IIT JEE complex numbers (part 1)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "id": "8187445", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "title": "IIT JEE complex numbers (part 1)", "progress_key": "v8187445", "edit_slug": "edit/v/8187445", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.mp4/_5ei_I02huY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.mp4/_5ei_I02huY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.m3u8/_5ei_I02huY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_5ei_I02huY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187445", "sha": "22189db7ed4280acf53eae3ba73e0fe9f92e77f3", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "image_url": "https://img.youtube.com/vi/_5ei_I02huY/hqdefault.jpg", "youtube_id": "_5ei_I02huY", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-1"}, {"translated_youtube_id": "pQwoBOpVoWw", "relative_url": "/video/iit-jee-complex-numbers--part-2", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 2)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-2", "duration": 446, "translated_title": "IIT JEE complex numbers (part 2)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "id": "8187446", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "title": "IIT JEE complex numbers (part 2)", "progress_key": "v8187446", "edit_slug": "edit/v/8187446", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.mp4/pQwoBOpVoWw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.mp4/pQwoBOpVoWw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.m3u8/pQwoBOpVoWw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pQwoBOpVoWw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187446", "sha": "a3f6caf0b3267ef2e1ff02f64df7b696c8e35a16", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "image_url": "https://img.youtube.com/vi/pQwoBOpVoWw/hqdefault.jpg", "youtube_id": "pQwoBOpVoWw", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-2"}, {"translated_youtube_id": "FwA_UZkI-JM", "relative_url": "/video/iit-jee-complex-numbers--part-3", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 3)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-3", "duration": 189, "translated_title": "IIT JEE complex numbers (part 3)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "id": "8187447", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "title": "IIT JEE complex numbers (part 3)", "progress_key": "v8187447", "edit_slug": "edit/v/8187447", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.mp4/FwA_UZkI-JM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.mp4/FwA_UZkI-JM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.m3u8/FwA_UZkI-JM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FwA_UZkI-JM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187447", "sha": "981b06cb1588b6c602af6d1ae75710aaac72e9de", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "image_url": "https://img.youtube.com/vi/FwA_UZkI-JM/hqdefault.jpg", "youtube_id": "FwA_UZkI-JM", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-3"}, {"translated_youtube_id": "E7OkUomRq1Q", "relative_url": "/video/complex-determinant-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 53, Complex, Determinant", "ka_url": "http://www.khanacademy.org/video/complex-determinant-example", "duration": 778, "translated_title": "Complex determinant example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "id": "8187468", "description_html": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "title": "Complex determinant example", "progress_key": "v8187468", "edit_slug": "edit/v/8187468", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "extra_properties": null, "node_slug": "v/complex-determinant-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.mp4/E7OkUomRq1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.mp4/E7OkUomRq1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.m3u8/E7OkUomRq1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E7OkUomRq1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187468", "sha": "f097c6276e6d39383b33ac0c775dee568be4d048", "translated_description": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "image_url": "https://img.youtube.com/vi/E7OkUomRq1Q/hqdefault.jpg", "youtube_id": "E7OkUomRq1Q", "content_kind": "Video", "readable_id": "complex-determinant-example"}], "twitter_url": "", "translated_description": "This tutorial goes through a fancy problem from the IIT JEE exam in India (competitive exam for getting into their top engineering schools). Whether or not you live in India, this is a good example to test whether you are a complex number rock star.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial goes through a fancy problem from the IIT JEE exam in India (competitive exam for getting into their top engineering schools). Whether or not you live in India, this is a good example to test whether you are a complex number rock star.", "x_pos": 0.0, "node_slug": "complex_number_challenge", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75e0e0fa", "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_number_challenge", "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_number_challenge", "slug": "complex_number_challenge", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5a38592abb94c677419d59d855b33358692c6795", "standalone_title": "Challenging complex number problem", "y_pos": 0.0, "current_revision_key": "5a38592abb94c677419d59d855b33358692c6795", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding i and the complex plane", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Understanding i and the complex plane", "x_pos": 0.0, "node_slug": "imaginary_complex_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1dd60c20", "topic_page_url": "/math/trigonometry/imaginary_complex_precalc", "extended_slug": "math/trigonometry/imaginary_complex_precalc", "slug": "imaginary_complex_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1c0fe31959ae9c6523d439f75a4c023c6403d962", "standalone_title": "Imaginary and complex numbers", "y_pos": 0.0, "current_revision_key": "1c0fe31959ae9c6523d439f75a4c023c6403d962", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/hyperbolic_trig_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/hyperbolic_trig_topic", "translated_standalone_title": "Hyperbolic trig functions", "translated_title": "Hyperbolic trig functions", "gplus_url": "", "id": "x3f5028ed", "old_key_name": "rDDSoEOnpMVR6C0Pv_MpZawj7VtNfLJigFBssiir", "hide": false, "title": "Hyperbolic trig functions", "child_data": [{"kind": "Topic", "id": "x1f0c489f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro", "translated_standalone_title": "Intro to hyperbolic trigonometric functions", "translated_title": "Intro to hyperbolic trigonometric functions", "gplus_url": "", "id": "x1f0c489f", "old_key_name": "5DGB9AYZWdcNrQxYyyUW7TjGDYhbViOhpGqaMsmR", "hide": false, "title": "Intro to hyperbolic trigonometric functions", "child_data": [{"kind": "Video", "id": 1254452010}, {"kind": "Video", "id": 1254712334}], "children": [{"translated_youtube_id": "zd3RyRk6wYI", "relative_url": "/video/hyperbolic-trig-function-inspiration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hyperbolic-trig-function-inspiration", "duration": 478, "translated_title": "Hyperbolic trig function inspiration", "translated_description_html": "Exploring a motivation for even defining hyperbolic sine and cosine", "id": "1254452010", "description_html": "Exploring a motivation for even defining hyperbolic sine and cosine", "title": "Hyperbolic trig function inspiration", "progress_key": "v1254452010", "edit_slug": "edit/v/1254452010", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring a motivation for even defining hyperbolic sine and cosine", "extra_properties": null, "node_slug": "v/hyperbolic-trig-function-inspiration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T01:26:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zd3RyRk6wYI.mp4/zd3RyRk6wYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zd3RyRk6wYI.mp4/zd3RyRk6wYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zd3RyRk6wYI.m3u8/zd3RyRk6wYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zd3RyRk6wYI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254452010", "sha": "73fbe122cebf1ad89c0ba7c7e8333e19ca9435c4", "translated_description": "Exploring a motivation for even defining hyperbolic sine and cosine", "image_url": "https://img.youtube.com/vi/zd3RyRk6wYI/hqdefault.jpg", "youtube_id": "zd3RyRk6wYI", "content_kind": "Video", "readable_id": "hyperbolic-trig-function-inspiration"}, {"translated_youtube_id": "Wfpb-fniSSk", "relative_url": "/video/hyperbolic-trig-functions-and-the-unit-hyperbola", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hyperbolic-trig-functions-and-the-unit-hyperbola", "duration": 518, "translated_title": "Hyperbolic trig functions and the unit hyperbola", "translated_description_html": "Why they are called hyperbolic trigonometric functions", "id": "1254712334", "description_html": "Why they are called hyperbolic trigonometric functions", "title": "Hyperbolic trig functions and the unit hyperbola", "progress_key": "v1254712334", "edit_slug": "edit/v/1254712334", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why they are called hyperbolic trigonometric functions", "extra_properties": null, "node_slug": "v/hyperbolic-trig-functions-and-the-unit-hyperbola", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-29T01:27:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.mp4/Wfpb-fniSSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.mp4/Wfpb-fniSSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.m3u8/Wfpb-fniSSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wfpb-fniSSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254712334", "sha": "581dbc939ad9bccda73c3d5737873f89c2ec97dc", "translated_description": "Why they are called hyperbolic trigonometric functions", "image_url": "https://img.youtube.com/vi/Wfpb-fniSSk/hqdefault.jpg", "youtube_id": "Wfpb-fniSSk", "content_kind": "Video", "readable_id": "hyperbolic-trig-functions-and-the-unit-hyperbola"}], "twitter_url": "", "translated_description": "You know your regular trig functions that are defined with the help of the unit circle. We will now define a new class of functions constructed from exponentials that have an eery resemblance to those classic trig functions (but are still quite different).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know your regular trig functions that are defined with the help of the unit circle. We will now define a new class of functions constructed from exponentials that have an eery resemblance to those classic trig functions (but are still quite different).", "x_pos": 0.0, "node_slug": "hyperbolic_trig_intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1f0c489f", "topic_page_url": "/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro", "extended_slug": "math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro", "slug": "hyperbolic_trig_intro", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1ce8e0476bee2755995e29759fd739bd059bec2f", "standalone_title": "Intro to hyperbolic trigonometric functions", "y_pos": 0.0, "current_revision_key": "1ce8e0476bee2755995e29759fd739bd059bec2f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Motivation and understanding of hyperbolic trig functions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Motivation and understanding of hyperbolic trig functions.", "x_pos": 0.0, "node_slug": "hyperbolic_trig_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3f5028ed", "topic_page_url": "/math/trigonometry/hyperbolic_trig_topic", "extended_slug": "math/trigonometry/hyperbolic_trig_topic", "slug": "hyperbolic_trig_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "58c80a303f2d5e6716872a0c672d877fec7003a8", "standalone_title": "Hyperbolic trig functions", "y_pos": 0.0, "current_revision_key": "58c80a303f2d5e6716872a0c672d877fec7003a8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/limit_topic_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/limit_topic_precalc", "translated_standalone_title": "Limits", "translated_title": "Limits", "gplus_url": "", "id": "xccdba2de", "old_key_name": "FKjQrE8eINwnpuLc_LOSyyJ8FnWD31YhAQukW0us", "hide": false, "title": "Limits", "child_data": [{"kind": "Topic", "id": "xbdfbdf4b"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/trigonometry/limit_topic_precalc/limits_precalc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/trigonometry/limit_topic_precalc/limits_precalc", "translated_standalone_title": "Limits", "translated_title": "Limit basics", "gplus_url": "", "id": "xbdfbdf4b", "old_key_name": "xEEOWf5fpFaLCMWNzP9NU0sT9hA3itHBgnG-K9V7", "hide": false, "title": "Limit basics", "child_data": [{"kind": "Video", "id": 91852634}, {"kind": "Video", "id": 24080}, {"kind": "Exercise", "id": 4557553}, {"kind": "Exercise", "id": 4637496}, {"kind": "Video", "id": 24082}, {"kind": "Video", "id": 24084}, {"kind": "Video", "id": 24086}, {"kind": "Video", "id": 24088}, {"kind": "Video", "id": 24094}], "children": [{"translated_youtube_id": "riXcZT2ICjA", "relative_url": "/video/introduction-to-limits--hd", "has_questions": false, "keywords": "calculus, CC_39336_A-CED_2, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/introduction-to-limits--hd", "duration": 692, "translated_title": "Introduction to limits", "translated_description_html": "Introduction to limits", "id": "91852634", "description_html": "Introduction to limits", "title": "Introduction to limits", "progress_key": "v91852634", "edit_slug": "edit/v/91852634", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to limits", "extra_properties": null, "node_slug": "v/introduction-to-limits--hd", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-19T23:24:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.mp4/riXcZT2ICjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.mp4/riXcZT2ICjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.m3u8/riXcZT2ICjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=riXcZT2ICjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v91852634", "sha": "e392d5ab697a32caa794bbe11544fdd00433aaa8", "translated_description": "Introduction to limits", "image_url": "https://img.youtube.com/vi/riXcZT2ICjA/hqdefault.jpg", "youtube_id": "riXcZT2ICjA", "content_kind": "Video", "readable_id": "introduction-to-limits--hd"}, {"translated_youtube_id": "W0VWO4asgmk", "relative_url": "/video/introduction-to-limits", "has_questions": false, "keywords": "calculus, math, limit, limits, khan, academy, CC_39336_A-CED_2, CC_39336_F-BF_1, CC_39336_F-BF_1_c, CC_39336_F-IF_2, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/introduction-to-limits", "duration": 457, "translated_title": "Introduction to limits", "translated_description_html": "Introduction to the intuition behind limits", "id": "24080", "description_html": "Introduction to the intuition behind limits", "title": "Introduction to limits", "progress_key": "v24080", "edit_slug": "edit/v/24080", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the intuition behind limits", "extra_properties": null, "node_slug": "v/introduction-to-limits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.mp4/W0VWO4asgmk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.mp4/W0VWO4asgmk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.m3u8/W0VWO4asgmk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W0VWO4asgmk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24080", "sha": "19743dbaf666a66bf915b26e23b0dc2f2477fa6b", "translated_description": "Introduction to the intuition behind limits", "image_url": "https://img.youtube.com/vi/W0VWO4asgmk/hqdefault.jpg", "youtube_id": "W0VWO4asgmk", "content_kind": "Video", "readable_id": "introduction-to-limits"}, {"translated_youtube_id": "GGQngIp0YGI", "relative_url": "/video/limit-examples--part-1", "has_questions": false, "keywords": "calculus, limits, limit, examples, khan, academy, CC_39336_A-CED_2, CC_39336_A-CED_3, CC_39336_A-REI_10, CC_39336_F-BF_1, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/limit-examples--part-1", "duration": 536, "translated_title": "Limit examples (part 1)", "translated_description_html": "Some limit exercises", "id": "24082", "description_html": "Some limit exercises", "title": "Limit examples (part 1)", "progress_key": "v24082", "edit_slug": "edit/v/24082", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some limit exercises", "extra_properties": null, "node_slug": "v/limit-examples--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.mp4/GGQngIp0YGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.mp4/GGQngIp0YGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.m3u8/GGQngIp0YGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GGQngIp0YGI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24082", "sha": "d6a872862e4bd77c487e806f98732d73afd1c014", "translated_description": "Some limit exercises", "image_url": "https://img.youtube.com/vi/GGQngIp0YGI/hqdefault.jpg", "youtube_id": "GGQngIp0YGI", "content_kind": "Video", "readable_id": "limit-examples--part-1"}, {"translated_youtube_id": "YRw8udexH4o", "relative_url": "/video/limit-examples--part-2", "has_questions": false, "keywords": "calculus, limits, limit, khan, academy, CC_39336_F-IF_4, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/limit-examples--part-2", "duration": 417, "translated_title": "Limit examples (part 2)", "translated_description_html": "More limit examples", "id": "24084", "description_html": "More limit examples", "title": "Limit examples (part 2)", "progress_key": "v24084", "edit_slug": "edit/v/24084", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": null, "node_slug": "v/limit-examples--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.mp4/YRw8udexH4o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.mp4/YRw8udexH4o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.m3u8/YRw8udexH4o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YRw8udexH4o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24084", "sha": "7d54c4597cb612a1fc1358fe2a2bbef593581fb6", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/YRw8udexH4o/hqdefault.jpg", "youtube_id": "YRw8udexH4o", "content_kind": "Video", "readable_id": "limit-examples--part-2"}, {"translated_youtube_id": "gWSDDopD9sk", "relative_url": "/video/limit-examples--part3", "has_questions": false, "keywords": "Calculus, limit, math, khan, academy, CC_39336_A-REI_4, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/limit-examples--part3", "duration": 598, "translated_title": "Limit examples (part 3)", "translated_description_html": "More limit examples", "id": "24086", "description_html": "More limit examples", "title": "Limit examples (part 3)", "progress_key": "v24086", "edit_slug": "edit/v/24086", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": {"original_url": ""}, "node_slug": "v/limit-examples--part3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.mp4/gWSDDopD9sk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.mp4/gWSDDopD9sk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.m3u8/gWSDDopD9sk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gWSDDopD9sk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24086", "sha": "adfda399a0dfdfd239da981ebbc3fd1b487c531b", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/gWSDDopD9sk/hqdefault.jpg", "youtube_id": "gWSDDopD9sk", "content_kind": "Video", "readable_id": "limit-examples--part3"}, {"translated_youtube_id": "xjkSE9cPqzo", "relative_url": "/video/limit-examples-w--brain-malfunction-on-first-prob--part-4", "has_questions": false, "keywords": "calculus, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/limit-examples-w--brain-malfunction-on-first-prob--part-4", "duration": 902, "translated_title": "Limit examples w/ brain malfunction on first prob (part 4)", "translated_description_html": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "id": "24088", "description_html": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "title": "Limit examples w/ brain malfunction on first prob (part 4)", "progress_key": "v24088", "edit_slug": "edit/v/24088", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "extra_properties": null, "node_slug": "v/limit-examples-w--brain-malfunction-on-first-prob--part-4", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.m3u8/xjkSE9cPqzo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xjkSE9cPqzo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24088", "sha": "7b916be8578c2f82cfd84fca5653de719bcd778c", "translated_description": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "image_url": "https://img.youtube.com/vi/xjkSE9cPqzo/hqdefault.jpg", "youtube_id": "xjkSE9cPqzo", "content_kind": "Video", "readable_id": "limit-examples-w--brain-malfunction-on-first-prob--part-4"}, {"translated_youtube_id": "rkeU8_4nzKo", "relative_url": "/video/more-limits", "has_questions": false, "keywords": "limits, calculus, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/more-limits", "duration": 789, "translated_title": "More limits", "translated_description_html": "More limit examples", "id": "24094", "description_html": "More limit examples", "title": "More limits", "progress_key": "v24094", "edit_slug": "edit/v/24094", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": null, "node_slug": "v/more-limits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.mp4/rkeU8_4nzKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.mp4/rkeU8_4nzKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.m3u8/rkeU8_4nzKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rkeU8_4nzKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24094", "sha": "30d6c342572c4702cd6f99855ea12492cc6e7101", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/rkeU8_4nzKo/hqdefault.jpg", "youtube_id": "rkeU8_4nzKo", "content_kind": "Video", "readable_id": "more-limits"}], "twitter_url": "", "translated_description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can thinking about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can thinking about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", "x_pos": 0.0, "node_slug": "limits_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbdfbdf4b", "topic_page_url": "/math/trigonometry/limit_topic_precalc/limits_precalc", "extended_slug": "math/trigonometry/limit_topic_precalc/limits_precalc", "slug": "limits_precalc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "eb7d0f86714ccfc0105e7cc5acd75e8a3d856907", "standalone_title": "Limits", "y_pos": 0.0, "current_revision_key": "eb7d0f86714ccfc0105e7cc5acd75e8a3d856907", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Preview of the calculus topic of limits", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Preview of the calculus topic of limits", "x_pos": 0.0, "node_slug": "limit_topic_precalc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axccdba2de", "topic_page_url": "/math/trigonometry/limit_topic_precalc", "extended_slug": "math/trigonometry/limit_topic_precalc", "slug": "limit_topic_precalc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b45a65a0b493e7957c6159157fde6e525958d995", "standalone_title": "Limits", "y_pos": 0.0, "current_revision_key": "b45a65a0b493e7957c6159157fde6e525958d995", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos and exercises on trigonometry. Watch the \"Geometry\" playlist first if you have trouble understanding the topics covered here.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Videos and exercises on trigonometry. Watch the \"Geometry\" playlist first if you have trouble understanding the topics covered here.", "x_pos": -25.0, "node_slug": "trigonometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfefa5515", "topic_page_url": "/math/trigonometry", "extended_slug": "math/trigonometry", "slug": "trigonometry", "tags": ["Trigonometry", "trig", "identities", "sin", "cos", "tan", "math"], "kind": "Topic", "in_topic_browser": true, "sha": "718c1147490f46c6d32f187285b3a2cd1aaae004", "standalone_title": "Trigonometry and precalculus", "y_pos": 49.0, "current_revision_key": "718c1147490f46c6d32f187285b3a2cd1aaae004", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/differential-calculus-40x40.png", "domain_slug": "math", "relative_url": "/math/calculus", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus", "translated_standalone_title": "Calculus", "translated_title": "Calculus", "gplus_url": "", "id": "x786f2022", "old_key_name": "1fQH4dvaiy4S-o36n4_b-cyACZVHNGlb_JDOHTSk", "hide": false, "title": "Calculus", "child_data": [{"kind": "Topic", "id": "xb22c9a5f"}, {"kind": "Topic", "id": "x02f26269"}, {"kind": "Topic", "id": "xcc2c1257"}, {"kind": "Topic", "id": "xb640969d"}, {"kind": "Topic", "id": "xa7f36ed3"}, {"kind": "Topic", "id": "xd5b0e615"}, {"kind": "Topic", "id": "x4a22631b"}, {"kind": "Topic", "id": "x8bb6e75b"}, {"kind": "Topic", "id": "xa1e91d2e"}, {"kind": "Topic", "id": "x833b5150"}, {"kind": "Topic", "id": "xa3642b9a"}, {"kind": "Topic", "id": "x4231f1f9"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic", "translated_standalone_title": "Limits", "translated_title": "Limits", "gplus_url": "", "id": "xb22c9a5f", "old_key_name": "1QfevAgIgw4QrPvgruXft-x578bSFE7nm6_Nr08-", "hide": false, "title": "Limits", "child_data": [{"kind": "Topic", "id": "x6c7fdc99"}, {"kind": "Topic", "id": "x6920bb0d"}, {"kind": "Topic", "id": "xbb7119df"}, {"kind": "Topic", "id": "xe5b8105d"}, {"kind": "Topic", "id": "xe9546e09"}, {"kind": "Topic", "id": "x25b2a1e1"}, {"kind": "Topic", "id": "xe68bd0c8"}, {"kind": "Topic", "id": "x30d739bd"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/limits_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/limits_tutorial", "translated_standalone_title": "Limits", "translated_title": "Limits", "gplus_url": "", "id": "x6c7fdc99", "old_key_name": "09SUfCXfaxMXp02N3BoenEv2S2TOVgpi6MC8DwC1", "hide": false, "title": "Limits", "child_data": [{"kind": "Video", "id": 91852634}, {"kind": "Video", "id": "x85083764"}, {"kind": "Video", "id": "x0834d703"}, {"kind": "Exercise", "id": "x20d7af84"}], "children": [{"translated_youtube_id": "riXcZT2ICjA", "relative_url": "/video/introduction-to-limits--hd", "has_questions": false, "keywords": "calculus, CC_39336_A-CED_2, CC_39336_A-REI_3", "ka_url": "http://www.khanacademy.org/video/introduction-to-limits--hd", "duration": 692, "translated_title": "Introduction to limits", "translated_description_html": "Introduction to limits", "id": "91852634", "description_html": "Introduction to limits", "title": "Introduction to limits", "progress_key": "v91852634", "edit_slug": "edit/v/91852634", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to limits", "extra_properties": null, "node_slug": "v/introduction-to-limits--hd", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-19T23:24:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.mp4/riXcZT2ICjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.mp4/riXcZT2ICjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/riXcZT2ICjA.m3u8/riXcZT2ICjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=riXcZT2ICjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v91852634", "sha": "e392d5ab697a32caa794bbe11544fdd00433aaa8", "translated_description": "Introduction to limits", "image_url": "https://img.youtube.com/vi/riXcZT2ICjA/hqdefault.jpg", "youtube_id": "riXcZT2ICjA", "content_kind": "Video", "readable_id": "introduction-to-limits--hd"}, {"translated_youtube_id": "XIsPC-f2e2c", "relative_url": "/video/limit-by-analyzing-numerical-data", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-by-analyzing-numerical-data", "duration": 186, "translated_title": "Inferring limit from numerical data", "translated_description_html": "", "id": "x85083764", "description_html": "", "title": "Inferring limit from numerical data", "progress_key": "vx85083764", "edit_slug": "edit/v/x85083764", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/limit-by-analyzing-numerical-data", "deleted": false, "backup_timestamp": "2013-11-06T17:25:46Z", "date_added": "2013-11-06T17:25:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XIsPC-f2e2c.mp4/XIsPC-f2e2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XIsPC-f2e2c.mp4/XIsPC-f2e2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XIsPC-f2e2c.m3u8/XIsPC-f2e2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XIsPC-f2e2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx85083764", "sha": "2c042b17f014e5ad75e08d039eb63716f7456841", "translated_description": "", "image_url": "https://img.youtube.com/vi/XIsPC-f2e2c/hqdefault.jpg", "youtube_id": "XIsPC-f2e2c", "content_kind": "Video", "readable_id": "limit-by-analyzing-numerical-data"}, {"translated_youtube_id": "t7NvlTgMsO8", "relative_url": "/video/numerically-estimating-limit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/numerically-estimating-limit", "duration": 238, "translated_title": "Estimating limit numerically", "translated_description_html": "", "id": "x0834d703", "description_html": "", "title": "Estimating limit numerically", "progress_key": "vx0834d703", "edit_slug": "edit/v/x0834d703", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/numerically-estimating-limit", "deleted": false, "backup_timestamp": "2013-11-06T17:25:46Z", "date_added": "2013-11-06T17:25:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t7NvlTgMsO8.mp4/t7NvlTgMsO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t7NvlTgMsO8.mp4/t7NvlTgMsO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t7NvlTgMsO8.m3u8/t7NvlTgMsO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t7NvlTgMsO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0834d703", "sha": "da0303634355b52a99c77164db4f63fb11304b43", "translated_description": "", "image_url": "https://img.youtube.com/vi/t7NvlTgMsO8/hqdefault.jpg", "youtube_id": "t7NvlTgMsO8", "content_kind": "Video", "readable_id": "numerically-estimating-limit"}], "twitter_url": "", "translated_description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", "x_pos": 0.0, "node_slug": "limits_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-03T01:09:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6c7fdc99", "topic_page_url": "/math/calculus/limits_topic/limits_tutorial", "extended_slug": "math/calculus/limits_topic/limits_tutorial", "slug": "limits_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c5788c31745403a104085a51bcd460a1b9b43d01", "standalone_title": "Limits", "y_pos": 0.0, "current_revision_key": "c5788c31745403a104085a51bcd460a1b9b43d01", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/calculus-estimating-limits-graph", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/calculus-estimating-limits-graph", "translated_standalone_title": "Estimating limits from graphs", "translated_title": "Estimating limits from graphs", "gplus_url": "", "id": "x6920bb0d", "old_key_name": null, "hide": false, "title": "Estimating limits from graphs", "child_data": [{"kind": "Video", "id": "x0aee8ec3"}, {"kind": "Exercise", "id": "x627716d9"}, {"kind": "Video", "id": 1313337273}, {"kind": "Video", "id": 1313140631}, {"kind": "Video", "id": "xe625699f"}, {"kind": "Exercise", "id": "x8c286c43"}], "children": [{"translated_youtube_id": "nOnd3SiYZqM", "relative_url": "/video/one-sided-limits-from-graphs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/one-sided-limits-from-graphs", "duration": 551, "translated_title": "One-sided limits from graphs", "translated_description_html": "", "id": "x0aee8ec3", "description_html": "", "title": "One-sided limits from graphs", "progress_key": "vx0aee8ec3", "edit_slug": "edit/v/x0aee8ec3", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/one-sided-limits-from-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T01:07:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nOnd3SiYZqM.mp4/nOnd3SiYZqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nOnd3SiYZqM.mp4/nOnd3SiYZqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nOnd3SiYZqM.m3u8/nOnd3SiYZqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nOnd3SiYZqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0aee8ec3", "sha": "3be712769d60fd4698d2aa48e915c02170729338", "translated_description": "", "image_url": "https://img.youtube.com/vi/nOnd3SiYZqM/hqdefault.jpg", "youtube_id": "nOnd3SiYZqM", "content_kind": "Video", "readable_id": "one-sided-limits-from-graphs"}, {"translated_youtube_id": "Y7sqB1e4RBI", "relative_url": "/video/limit-at-a-point-of-discontinuity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-at-a-point-of-discontinuity", "duration": 380, "translated_title": "Limit at a point of discontinuity", "translated_description_html": "", "id": "1313337273", "description_html": "", "title": "Limit at a point of discontinuity", "progress_key": "v1313337273", "edit_slug": "edit/v/1313337273", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/limit-at-a-point-of-discontinuity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T23:18:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y7sqB1e4RBI.mp4/Y7sqB1e4RBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y7sqB1e4RBI.mp4/Y7sqB1e4RBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y7sqB1e4RBI.m3u8/Y7sqB1e4RBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y7sqB1e4RBI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313337273", "sha": "d143191d11ef180f4d3041e45d483071b6abbdfd", "translated_description": "", "image_url": "https://img.youtube.com/vi/Y7sqB1e4RBI/hqdefault.jpg", "youtube_id": "Y7sqB1e4RBI", "content_kind": "Video", "readable_id": "limit-at-a-point-of-discontinuity"}, {"translated_youtube_id": "_WOr9-_HbAM", "relative_url": "/video/determining-which-limit-statements-are-true", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/determining-which-limit-statements-are-true", "duration": 316, "translated_title": "Determining which limit statements are true", "translated_description_html": "", "id": "1313140631", "description_html": "", "title": "Determining which limit statements are true", "progress_key": "v1313140631", "edit_slug": "edit/v/1313140631", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/determining-which-limit-statements-are-true", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T23:19:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_WOr9-_HbAM.mp4/_WOr9-_HbAM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_WOr9-_HbAM.mp4/_WOr9-_HbAM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_WOr9-_HbAM.m3u8/_WOr9-_HbAM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_WOr9-_HbAM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313140631", "sha": "3307f8ee1e98e9935bf2995c47cedd67e9b75a19", "translated_description": "", "image_url": "https://img.youtube.com/vi/_WOr9-_HbAM/hqdefault.jpg", "youtube_id": "_WOr9-_HbAM", "content_kind": "Video", "readable_id": "determining-which-limit-statements-are-true"}, {"translated_youtube_id": "rccqylTloMs", "relative_url": "/video/2-sided-limit-from-graph", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-sided-limit-from-graph", "duration": 166, "translated_title": "2 sided limit from graph", "translated_description_html": "", "id": "xe625699f", "description_html": "", "title": "2 sided limit from graph", "progress_key": "vxe625699f", "edit_slug": "edit/v/xe625699f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/2-sided-limit-from-graph", "deleted": false, "backup_timestamp": "2013-11-06T17:25:46Z", "date_added": "2013-11-06T17:25:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rccqylTloMs.mp4/rccqylTloMs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rccqylTloMs.mp4/rccqylTloMs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rccqylTloMs.m3u8/rccqylTloMs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rccqylTloMs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe625699f", "sha": "2d60278f47b423b48bd3353d48c99a96b028edcd", "translated_description": "", "image_url": "https://img.youtube.com/vi/rccqylTloMs/hqdefault.jpg", "youtube_id": "rccqylTloMs", "content_kind": "Video", "readable_id": "2-sided-limit-from-graph"}], "twitter_url": "", "translated_description": "In this tutorial, we will build our ability to visualize limits by estimating them based on graphs of functions. We will look at both one-sided and two-sided limits.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we will build our ability to visualize limits by estimating them based on graphs of functions. We will look at both one-sided and two-sided limits.", "x_pos": 0.0, "node_slug": "calculus-estimating-limits-graph", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-06T17:25:46Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6920bb0d", "topic_page_url": "/math/calculus/limits_topic/calculus-estimating-limits-graph", "extended_slug": "math/calculus/limits_topic/calculus-estimating-limits-graph", "slug": "calculus-estimating-limits-graph", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7a76af17619f5fb81fbfcb4588d62b0e92919d03", "standalone_title": "Estimating limits from graphs", "y_pos": 0.0, "current_revision_key": "7a76af17619f5fb81fbfcb4588d62b0e92919d03", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/algebraic-limits", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/algebraic-limits", "translated_standalone_title": "Finding limits algebraically", "translated_title": "Finding limits algebraically", "gplus_url": "", "id": "xbb7119df", "old_key_name": null, "hide": false, "title": "Finding limits algebraically", "child_data": [{"kind": "Video", "id": 1313161995}, {"kind": "Video", "id": 1313230441}, {"kind": "Exercise", "id": "x497866be"}, {"kind": "Video", "id": "x1cc22e7d"}, {"kind": "Exercise", "id": 4637496}], "children": [{"translated_youtube_id": "EAa3J_nDkoI", "relative_url": "/video/limit-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-example-1", "duration": 344, "translated_title": "Limit example 1", "translated_description_html": "", "id": "1313161995", "description_html": "", "title": "Limit example 1", "progress_key": "v1313161995", "edit_slug": "edit/v/1313161995", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/limit-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T23:20:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EAa3J_nDkoI.mp4/EAa3J_nDkoI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EAa3J_nDkoI.mp4/EAa3J_nDkoI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EAa3J_nDkoI.m3u8/EAa3J_nDkoI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EAa3J_nDkoI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313161995", "sha": "fce842a5643570217856ae9589e1e2d98f20d5ee", "translated_description": "", "image_url": "https://img.youtube.com/vi/EAa3J_nDkoI/hqdefault.jpg", "youtube_id": "EAa3J_nDkoI", "content_kind": "Video", "readable_id": "limit-example-1"}, {"translated_youtube_id": "lSwsAFgWqR8", "relative_url": "/video/limit-properties", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-properties", "duration": 308, "translated_title": "Limit properties", "translated_description_html": "", "id": "1313230441", "description_html": "", "title": "Limit properties", "progress_key": "v1313230441", "edit_slug": "edit/v/1313230441", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/limit-properties", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T23:19:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lSwsAFgWqR8.mp4/lSwsAFgWqR8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lSwsAFgWqR8.mp4/lSwsAFgWqR8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lSwsAFgWqR8.m3u8/lSwsAFgWqR8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lSwsAFgWqR8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313230441", "sha": "514ebfb7f16a3b799d1d9eb7eac7944d68b50054", "translated_description": "", "image_url": "https://img.youtube.com/vi/lSwsAFgWqR8/hqdefault.jpg", "youtube_id": "lSwsAFgWqR8", "content_kind": "Video", "readable_id": "limit-properties"}, {"translated_youtube_id": "rU222pVq520", "relative_url": "/video/limit-factoring-cubic", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-factoring-cubic", "duration": 236, "translated_title": "Limit by factoring cubic expression", "translated_description_html": "", "id": "x1cc22e7d", "description_html": "", "title": "Limit by factoring cubic expression", "progress_key": "vx1cc22e7d", "edit_slug": "edit/v/x1cc22e7d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/limit-factoring-cubic", "deleted": false, "backup_timestamp": "2013-11-06T01:12:54Z", "date_added": "2013-11-06T01:12:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rU222pVq520.mp4/rU222pVq520.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rU222pVq520.mp4/rU222pVq520.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rU222pVq520.m3u8/rU222pVq520.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rU222pVq520&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1cc22e7d", "sha": "d56e32322e964d3b424e942df0056c9b2611174a", "translated_description": "", "image_url": "https://img.youtube.com/vi/rU222pVq520/hqdefault.jpg", "youtube_id": "rU222pVq520", "content_kind": "Video", "readable_id": "limit-factoring-cubic"}], "twitter_url": "", "translated_description": "We often attempt to find the limit at a point where the function itself is not defined. In this tutorial, we will use algebra to \"simplify\" functions into ones where it is defined. Given that the original function and the simplified one may be identical except for the limit point in question, this is a useful way of finding limits. ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We often attempt to find the limit at a point where the function itself is not defined. In this tutorial, we will use algebra to \"simplify\" functions into ones where it is defined. Given that the original function and the simplified one may be identical except for the limit point in question, this is a useful way of finding limits. ", "x_pos": 0.0, "node_slug": "algebraic-limits", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-06T17:25:46Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb7119df", "topic_page_url": "/math/calculus/limits_topic/algebraic-limits", "extended_slug": "math/calculus/limits_topic/algebraic-limits", "slug": "algebraic-limits", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "21d9fa8df7536e76585be2530b673388f4dc561e", "standalone_title": "Finding limits algebraically", "y_pos": 0.0, "current_revision_key": "21d9fa8df7536e76585be2530b673388f4dc561e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/continuity-limits", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/continuity-limits", "translated_standalone_title": "Continuity using limits", "translated_title": "Continuity using limits", "gplus_url": "", "id": "xe5b8105d", "old_key_name": null, "hide": false, "title": "Continuity using limits", "child_data": [{"kind": "Video", "id": 1315931133}, {"kind": "Video", "id": "xb27b3893"}, {"kind": "Video", "id": "x0f1bf7aa"}, {"kind": "Video", "id": "xf8a1e5c8"}, {"kind": "Exercise", "id": "xcb51aefa"}], "children": [{"translated_youtube_id": "kdEQGfeC0SE", "relative_url": "/video/limits-to-define-continuity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limits-to-define-continuity", "duration": 674, "translated_title": "Limits to define continuity", "translated_description_html": "", "id": "1315931133", "description_html": "", "title": "Limits to define continuity", "progress_key": "v1315931133", "edit_slug": "edit/v/1315931133", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/limits-to-define-continuity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T19:58:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kdEQGfeC0SE.mp4/kdEQGfeC0SE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kdEQGfeC0SE.mp4/kdEQGfeC0SE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kdEQGfeC0SE.m3u8/kdEQGfeC0SE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kdEQGfeC0SE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1315931133", "sha": "36a5cb46e7e3350ad45d14fdb8ee068395b09c13", "translated_description": "", "image_url": "https://img.youtube.com/vi/kdEQGfeC0SE/hqdefault.jpg", "youtube_id": "kdEQGfeC0SE", "content_kind": "Video", "readable_id": "limits-to-define-continuity"}, {"translated_youtube_id": "_bBAiZhfH_4", "relative_url": "/video/limit-and-function-defined-at-point-of-discontinuity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-and-function-defined-at-point-of-discontinuity", "duration": 245, "translated_title": "Limit and function defined at point of discontinuity", "translated_description_html": "", "id": "xb27b3893", "description_html": "", "title": "Limit and function defined at point of discontinuity", "progress_key": "vxb27b3893", "edit_slug": "edit/v/xb27b3893", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/limit-and-function-defined-at-point-of-discontinuity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-09-18T23:25:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_bBAiZhfH_4.mp4/_bBAiZhfH_4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_bBAiZhfH_4.mp4/_bBAiZhfH_4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_bBAiZhfH_4.m3u8/_bBAiZhfH_4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_bBAiZhfH_4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb27b3893", "sha": "37fa037e89b74b9c924be8da78c459d3f7a5d58a", "translated_description": "", "image_url": "https://img.youtube.com/vi/_bBAiZhfH_4/hqdefault.jpg", "youtube_id": "_bBAiZhfH_4", "content_kind": "Video", "readable_id": "limit-and-function-defined-at-point-of-discontinuity"}, {"translated_youtube_id": "P1DJxuG7U9A", "relative_url": "/video/fancy-algebra-to-find-a-limit-and-make-a-function-continuous", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fancy-algebra-to-find-a-limit-and-make-a-function-continuous", "duration": 320, "translated_title": "Fancy algebra to find a limit and make a function continuous", "translated_description_html": "", "id": "x0f1bf7aa", "description_html": "", "title": "Fancy algebra to find a limit and make a function continuous", "progress_key": "vx0f1bf7aa", "edit_slug": "edit/v/x0f1bf7aa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/fancy-algebra-to-find-a-limit-and-make-a-function-continuous", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-09-18T23:25:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P1DJxuG7U9A.mp4/P1DJxuG7U9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P1DJxuG7U9A.mp4/P1DJxuG7U9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P1DJxuG7U9A.m3u8/P1DJxuG7U9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P1DJxuG7U9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0f1bf7aa", "sha": "ffbc126afd163820d196efcfa818c9aae517573d", "translated_description": "", "image_url": "https://img.youtube.com/vi/P1DJxuG7U9A/hqdefault.jpg", "youtube_id": "P1DJxuG7U9A", "content_kind": "Video", "readable_id": "fancy-algebra-to-find-a-limit-and-make-a-function-continuous"}, {"translated_youtube_id": "oUgDaEwMbiU", "relative_url": "/video/defining-a-function-at-a-point-to-make-it-continuous", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/defining-a-function-at-a-point-to-make-it-continuous", "duration": 297, "translated_title": "Defining a function at a point to make it continuous", "translated_description_html": "", "id": "xf8a1e5c8", "description_html": "", "title": "Defining a function at a point to make it continuous", "progress_key": "vxf8a1e5c8", "edit_slug": "edit/v/xf8a1e5c8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/defining-a-function-at-a-point-to-make-it-continuous", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-09-18T23:25:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oUgDaEwMbiU.mp4/oUgDaEwMbiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oUgDaEwMbiU.mp4/oUgDaEwMbiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oUgDaEwMbiU.m3u8/oUgDaEwMbiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oUgDaEwMbiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf8a1e5c8", "sha": "26e5c347ae9c83ddf85ea1b9926156d35f21640d", "translated_description": "", "image_url": "https://img.youtube.com/vi/oUgDaEwMbiU/hqdefault.jpg", "youtube_id": "oUgDaEwMbiU", "content_kind": "Video", "readable_id": "defining-a-function-at-a-point-to-make-it-continuous"}], "twitter_url": "", "translated_description": "A function isn't continuous when there is a \"break\" in its graph. This tutorial uses limits to define this idea more formally and gives practice thinking about continuity (and discontinuity) in terms of limits.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "A function isn't continuous when there is a \"break\" in its graph. This tutorial uses limits to define this idea more formally and gives practice thinking about continuity (and discontinuity) in terms of limits.", "x_pos": 0.0, "node_slug": "continuity-limits", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe5b8105d", "topic_page_url": "/math/calculus/limits_topic/continuity-limits", "extended_slug": "math/calculus/limits_topic/continuity-limits", "slug": "continuity-limits", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2d573279271457bf35950426c5f4fc8e5c33788", "standalone_title": "Continuity using limits", "y_pos": 0.0, "current_revision_key": "a2d573279271457bf35950426c5f4fc8e5c33788", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/old-limits-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/old-limits-tutorial", "translated_standalone_title": "Old limits tutorial", "translated_title": "Old limits tutorial", "gplus_url": "", "id": "xe9546e09", "old_key_name": "HE2zVbWl1atPDE9r2rmhSRMvgWOR9V7TPWR2c2kD", "hide": false, "title": "Old limits tutorial", "child_data": [{"kind": "Video", "id": 24080}, {"kind": "Video", "id": 24082}, {"kind": "Video", "id": 24084}, {"kind": "Video", "id": 24086}, {"kind": "Video", "id": 24088}, {"kind": "Video", "id": 24094}, {"kind": "Exercise", "id": 4557553}], "children": [{"translated_youtube_id": "W0VWO4asgmk", "relative_url": "/video/introduction-to-limits", "has_questions": false, "keywords": "calculus, math, limit, limits, khan, academy, CC_39336_A-CED_2, CC_39336_F-BF_1, CC_39336_F-BF_1_c, CC_39336_F-IF_2, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/introduction-to-limits", "duration": 457, "translated_title": "Introduction to limits", "translated_description_html": "Introduction to the intuition behind limits", "id": "24080", "description_html": "Introduction to the intuition behind limits", "title": "Introduction to limits", "progress_key": "v24080", "edit_slug": "edit/v/24080", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the intuition behind limits", "extra_properties": null, "node_slug": "v/introduction-to-limits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.mp4/W0VWO4asgmk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.mp4/W0VWO4asgmk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W0VWO4asgmk.m3u8/W0VWO4asgmk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W0VWO4asgmk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24080", "sha": "19743dbaf666a66bf915b26e23b0dc2f2477fa6b", "translated_description": "Introduction to the intuition behind limits", "image_url": "https://img.youtube.com/vi/W0VWO4asgmk/hqdefault.jpg", "youtube_id": "W0VWO4asgmk", "content_kind": "Video", "readable_id": "introduction-to-limits"}, {"translated_youtube_id": "GGQngIp0YGI", "relative_url": "/video/limit-examples--part-1", "has_questions": false, "keywords": "calculus, limits, limit, examples, khan, academy, CC_39336_A-CED_2, CC_39336_A-CED_3, CC_39336_A-REI_10, CC_39336_F-BF_1, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/limit-examples--part-1", "duration": 536, "translated_title": "Limit examples (part 1)", "translated_description_html": "Some limit exercises", "id": "24082", "description_html": "Some limit exercises", "title": "Limit examples (part 1)", "progress_key": "v24082", "edit_slug": "edit/v/24082", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some limit exercises", "extra_properties": null, "node_slug": "v/limit-examples--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.mp4/GGQngIp0YGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.mp4/GGQngIp0YGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GGQngIp0YGI.m3u8/GGQngIp0YGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GGQngIp0YGI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24082", "sha": "d6a872862e4bd77c487e806f98732d73afd1c014", "translated_description": "Some limit exercises", "image_url": "https://img.youtube.com/vi/GGQngIp0YGI/hqdefault.jpg", "youtube_id": "GGQngIp0YGI", "content_kind": "Video", "readable_id": "limit-examples--part-1"}, {"translated_youtube_id": "YRw8udexH4o", "relative_url": "/video/limit-examples--part-2", "has_questions": false, "keywords": "calculus, limits, limit, khan, academy, CC_39336_F-IF_4, CC_39336_F-IF_7_d", "ka_url": "http://www.khanacademy.org/video/limit-examples--part-2", "duration": 417, "translated_title": "Limit examples (part 2)", "translated_description_html": "More limit examples", "id": "24084", "description_html": "More limit examples", "title": "Limit examples (part 2)", "progress_key": "v24084", "edit_slug": "edit/v/24084", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": null, "node_slug": "v/limit-examples--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.mp4/YRw8udexH4o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.mp4/YRw8udexH4o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YRw8udexH4o.m3u8/YRw8udexH4o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YRw8udexH4o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24084", "sha": "7d54c4597cb612a1fc1358fe2a2bbef593581fb6", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/YRw8udexH4o/hqdefault.jpg", "youtube_id": "YRw8udexH4o", "content_kind": "Video", "readable_id": "limit-examples--part-2"}, {"translated_youtube_id": "gWSDDopD9sk", "relative_url": "/video/limit-examples--part3", "has_questions": false, "keywords": "Calculus, limit, math, khan, academy, CC_39336_A-REI_4, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", "ka_url": "http://www.khanacademy.org/video/limit-examples--part3", "duration": 598, "translated_title": "Limit examples (part 3)", "translated_description_html": "More limit examples", "id": "24086", "description_html": "More limit examples", "title": "Limit examples (part 3)", "progress_key": "v24086", "edit_slug": "edit/v/24086", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": {"original_url": ""}, "node_slug": "v/limit-examples--part3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.mp4/gWSDDopD9sk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.mp4/gWSDDopD9sk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gWSDDopD9sk.m3u8/gWSDDopD9sk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gWSDDopD9sk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24086", "sha": "adfda399a0dfdfd239da981ebbc3fd1b487c531b", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/gWSDDopD9sk/hqdefault.jpg", "youtube_id": "gWSDDopD9sk", "content_kind": "Video", "readable_id": "limit-examples--part3"}, {"translated_youtube_id": "xjkSE9cPqzo", "relative_url": "/video/limit-examples-w--brain-malfunction-on-first-prob--part-4", "has_questions": false, "keywords": "calculus, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", "ka_url": "http://www.khanacademy.org/video/limit-examples-w--brain-malfunction-on-first-prob--part-4", "duration": 902, "translated_title": "Limit examples w/ brain malfunction on first prob (part 4)", "translated_description_html": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "id": "24088", "description_html": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "title": "Limit examples w/ brain malfunction on first prob (part 4)", "progress_key": "v24088", "edit_slug": "edit/v/24088", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "extra_properties": null, "node_slug": "v/limit-examples-w--brain-malfunction-on-first-prob--part-4", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.m3u8/xjkSE9cPqzo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xjkSE9cPqzo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24088", "sha": "7b916be8578c2f82cfd84fca5653de719bcd778c", "translated_description": "3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))", "image_url": "https://img.youtube.com/vi/xjkSE9cPqzo/hqdefault.jpg", "youtube_id": "xjkSE9cPqzo", "content_kind": "Video", "readable_id": "limit-examples-w--brain-malfunction-on-first-prob--part-4"}, {"translated_youtube_id": "rkeU8_4nzKo", "relative_url": "/video/more-limits", "has_questions": false, "keywords": "limits, calculus, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/more-limits", "duration": 789, "translated_title": "More limits", "translated_description_html": "More limit examples", "id": "24094", "description_html": "More limit examples", "title": "More limits", "progress_key": "v24094", "edit_slug": "edit/v/24094", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More limit examples", "extra_properties": null, "node_slug": "v/more-limits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.mp4/rkeU8_4nzKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.mp4/rkeU8_4nzKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rkeU8_4nzKo.m3u8/rkeU8_4nzKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rkeU8_4nzKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24094", "sha": "30d6c342572c4702cd6f99855ea12492cc6e7101", "translated_description": "More limit examples", "image_url": "https://img.youtube.com/vi/rkeU8_4nzKo/hqdefault.jpg", "youtube_id": "rkeU8_4nzKo", "content_kind": "Video", "readable_id": "more-limits"}], "twitter_url": "", "translated_description": "This tutorial covers much of the same material as the \"Limits\" tutorial, but does it with Sal's original \"old school\" videos. The sound, resolution or handwriting isn't as good, but some people find them more charming.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial covers much of the same material as the \"Limits\" tutorial, but does it with Sal's original \"old school\" videos. The sound, resolution or handwriting isn't as good, but some people find them more charming.", "x_pos": 0.0, "node_slug": "old-limits-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe9546e09", "topic_page_url": "/math/calculus/limits_topic/old-limits-tutorial", "extended_slug": "math/calculus/limits_topic/old-limits-tutorial", "slug": "old-limits-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9850d6006d7b530c1000f92c72ebc428dc3c59ab", "standalone_title": "Old limits tutorial", "y_pos": 0.0, "current_revision_key": "9850d6006d7b530c1000f92c72ebc428dc3c59ab", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/limits-infinity", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/limits-infinity", "translated_standalone_title": "Limits and infinity", "translated_title": "Limits and infinity", "gplus_url": "", "id": "x25b2a1e1", "old_key_name": "NJDKqtcgCVHGVY0M3F6LK0qhV4yOyH7RL_ZgCgQT", "hide": false, "title": "Limits and infinity", "child_data": [{"kind": "Video", "id": 1313399619}, {"kind": "Video", "id": "xbd675271"}, {"kind": "Video", "id": "x3619e094"}, {"kind": "Exercise", "id": "x184d6583"}, {"kind": "Video", "id": 1313454812}, {"kind": "Video", "id": 1313658038}, {"kind": "Video", "id": 1315254826}, {"kind": "Video", "id": "xb85faf80"}, {"kind": "Exercise", "id": "xf5f63aa1"}], "children": [{"translated_youtube_id": "a2Ia_ZlUCaQ", "relative_url": "/video/limits-and-infinity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limits-and-infinity", "duration": 461, "translated_title": "Limits and infinity", "translated_description_html": "", "id": "1313399619", "description_html": "", "title": "Limits and infinity", "progress_key": "v1313399619", "edit_slug": "edit/v/1313399619", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {}, "node_slug": "v/limits-and-infinity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T00:26:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a2Ia_ZlUCaQ.mp4/a2Ia_ZlUCaQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a2Ia_ZlUCaQ.mp4/a2Ia_ZlUCaQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a2Ia_ZlUCaQ.m3u8/a2Ia_ZlUCaQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a2Ia_ZlUCaQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313399619", "sha": "19d350d5b586e7de9654df6c52eb104cd4b1939f", "translated_description": "", "image_url": "https://img.youtube.com/vi/a2Ia_ZlUCaQ/hqdefault.jpg", "youtube_id": "a2Ia_ZlUCaQ", "content_kind": "Video", "readable_id": "limits-and-infinity"}, {"translated_youtube_id": "78tnNYNISOc", "relative_url": "/video/vertical-asymptote-natural-log", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vertical-asymptote-natural-log", "duration": 420, "translated_title": "Vertical asymptote of natural log", "translated_description_html": "", "id": "xbd675271", "description_html": "", "title": "Vertical asymptote of natural log", "progress_key": "vxbd675271", "edit_slug": "edit/v/xbd675271", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vertical-asymptote-natural-log", "deleted": false, "backup_timestamp": "2013-11-06T18:58:02Z", "date_added": "2013-11-06T18:58:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/78tnNYNISOc.mp4/78tnNYNISOc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/78tnNYNISOc.mp4/78tnNYNISOc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/78tnNYNISOc.m3u8/78tnNYNISOc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=78tnNYNISOc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbd675271", "sha": "fd5d0346ac5c90c92be5170a12b0720c06366fe9", "translated_description": "", "image_url": "https://img.youtube.com/vi/78tnNYNISOc/hqdefault.jpg", "youtube_id": "78tnNYNISOc", "content_kind": "Video", "readable_id": "vertical-asymptote-natural-log"}, {"translated_youtube_id": "SUrlTlI-oxI", "relative_url": "/video/visual-vertical-asymptotes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visual-vertical-asymptotes", "duration": 106, "translated_title": "Visually determining vertical asymptotes", "translated_description_html": "", "id": "x3619e094", "description_html": "", "title": "Visually determining vertical asymptotes", "progress_key": "vx3619e094", "edit_slug": "edit/v/x3619e094", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/visual-vertical-asymptotes", "deleted": false, "backup_timestamp": "2013-11-06T18:58:01Z", "date_added": "2013-11-06T18:58:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SUrlTlI-oxI.mp4/SUrlTlI-oxI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SUrlTlI-oxI.mp4/SUrlTlI-oxI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SUrlTlI-oxI.m3u8/SUrlTlI-oxI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SUrlTlI-oxI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3619e094", "sha": "c96c943c9e65a3f1932dd3821acdaaf0fd5f502a", "translated_description": "", "image_url": "https://img.youtube.com/vi/SUrlTlI-oxI/hqdefault.jpg", "youtube_id": "SUrlTlI-oxI", "content_kind": "Video", "readable_id": "visual-vertical-asymptotes"}, {"translated_youtube_id": "gv9ogppphso", "relative_url": "/video/limits-at-positive-and-negative-infinity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limits-at-positive-and-negative-infinity", "duration": 247, "translated_title": "Limits at positive and negative infinity", "translated_description_html": "", "id": "1313454812", "description_html": "", "title": "Limits at positive and negative infinity", "progress_key": "v1313454812", "edit_slug": "edit/v/1313454812", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/limits-at-positive-and-negative-infinity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T00:28:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gv9ogppphso.mp4/gv9ogppphso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gv9ogppphso.mp4/gv9ogppphso.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gv9ogppphso.m3u8/gv9ogppphso.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gv9ogppphso&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313454812", "sha": "dfacd7ed4eb4dae466566ec56f8e54c90f3f6867", "translated_description": "", "image_url": "https://img.youtube.com/vi/gv9ogppphso/hqdefault.jpg", "youtube_id": "gv9ogppphso", "content_kind": "Video", "readable_id": "limits-at-positive-and-negative-infinity"}, {"translated_youtube_id": "KcqO1fX9b_I", "relative_url": "/video/more-limits-at-infinity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-limits-at-infinity", "duration": 273, "translated_title": "More limits at infinity", "translated_description_html": "", "id": "1313658038", "description_html": "", "title": "More limits at infinity", "progress_key": "v1313658038", "edit_slug": "edit/v/1313658038", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/more-limits-at-infinity", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-01-23T00:29:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KcqO1fX9b_I.mp4/KcqO1fX9b_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KcqO1fX9b_I.mp4/KcqO1fX9b_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KcqO1fX9b_I.m3u8/KcqO1fX9b_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KcqO1fX9b_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1313658038", "sha": "2594580d1ed4abd53b9e5adf03d2b1db879da5dc", "translated_description": "", "image_url": "https://img.youtube.com/vi/KcqO1fX9b_I/hqdefault.jpg", "youtube_id": "KcqO1fX9b_I", "content_kind": "Video", "readable_id": "more-limits-at-infinity"}, {"translated_youtube_id": "xks4cETlN58", "relative_url": "/video/limits-with-two-horizontal-asymptotes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limits-with-two-horizontal-asymptotes", "duration": 314, "translated_title": "Limits with two horizontal asymptotes", "translated_description_html": "", "id": "1315254826", "description_html": "", "title": "Limits with two horizontal asymptotes", "progress_key": "v1315254826", "edit_slug": "edit/v/1315254826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/limits-with-two-horizontal-asymptotes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T17:11:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xks4cETlN58.mp4/xks4cETlN58.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xks4cETlN58.mp4/xks4cETlN58.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xks4cETlN58.m3u8/xks4cETlN58.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xks4cETlN58&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1315254826", "sha": "0530c7333f91c77bb97137690d5e5e736ce44624", "translated_description": "", "image_url": "https://img.youtube.com/vi/xks4cETlN58/hqdefault.jpg", "youtube_id": "xks4cETlN58", "content_kind": "Video", "readable_id": "limits-with-two-horizontal-asymptotes"}, {"translated_youtube_id": "nDXFgexOM5c", "relative_url": "/video/limits-infinity-algebra", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limits-infinity-algebra", "duration": 326, "translated_title": "Limits at infinity using algebra", "translated_description_html": "", "id": "xb85faf80", "description_html": "", "title": "Limits at infinity using algebra", "progress_key": "vxb85faf80", "edit_slug": "edit/v/xb85faf80", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/limits-infinity-algebra", "deleted": false, "backup_timestamp": "2013-11-06T18:58:01Z", "date_added": "2013-11-06T18:58:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nDXFgexOM5c.mp4/nDXFgexOM5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nDXFgexOM5c.mp4/nDXFgexOM5c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nDXFgexOM5c.m3u8/nDXFgexOM5c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nDXFgexOM5c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb85faf80", "sha": "972de8cc8bcae9ec95335b628d848e65715dd705", "translated_description": "", "image_url": "https://img.youtube.com/vi/nDXFgexOM5c/hqdefault.jpg", "youtube_id": "nDXFgexOM5c", "content_kind": "Video", "readable_id": "limits-infinity-algebra"}], "twitter_url": "", "translated_description": "You have a basic understanding of what a limit is. Now, in this tutorial, we can explore situation where we take the limit as x approaches negative or positive infinity (and situations where the limit itself could be unbounded).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You have a basic understanding of what a limit is. Now, in this tutorial, we can explore situation where we take the limit as x approaches negative or positive infinity (and situations where the limit itself could be unbounded).", "x_pos": 0.0, "node_slug": "limits-infinity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax25b2a1e1", "topic_page_url": "/math/calculus/limits_topic/limits-infinity", "extended_slug": "math/calculus/limits_topic/limits-infinity", "slug": "limits-infinity", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6c63a98ac26e6ee4b1f1b3e30e40e6e14c785c30", "standalone_title": "Limits and infinity", "y_pos": 0.0, "current_revision_key": "6c63a98ac26e6ee4b1f1b3e30e40e6e14c785c30", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/squeeze_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/squeeze_theorem", "translated_standalone_title": "Squeeze theorem", "translated_title": "Squeeze theorem", "gplus_url": "", "id": "xe68bd0c8", "old_key_name": "SXmU4Lq6ZLpMOCAz_lHuANUl4nTtbyaoNiSL9mqy", "hide": false, "title": "Squeeze theorem", "child_data": [{"kind": "Video", "id": 24090}, {"kind": "Video", "id": 24092}], "children": [{"translated_youtube_id": "igJdDN-DPgA", "relative_url": "/video/squeeze-theorem", "has_questions": false, "keywords": "calculus, limit, squeeze, theorem, CC_39336_F-IF_1, CC_39336_F-IF_5", "ka_url": "http://www.khanacademy.org/video/squeeze-theorem", "duration": 457, "translated_title": "Squeeze theorem", "translated_description_html": "Intuition (but not a proof) of the Squeeze Theorem.", "id": "24090", "description_html": "Intuition (but not a proof) of the Squeeze Theorem.", "title": "Squeeze theorem", "progress_key": "v24090", "edit_slug": "edit/v/24090", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition (but not a proof) of the Squeeze Theorem.", "extra_properties": null, "node_slug": "v/squeeze-theorem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/igJdDN-DPgA.mp4/igJdDN-DPgA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/igJdDN-DPgA.mp4/igJdDN-DPgA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/igJdDN-DPgA.m3u8/igJdDN-DPgA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=igJdDN-DPgA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24090", "sha": "0b0598a60a38c6abb77d89b051e68357412344d1", "translated_description": "Intuition (but not a proof) of the Squeeze Theorem.", "image_url": "https://img.youtube.com/vi/igJdDN-DPgA/hqdefault.jpg", "youtube_id": "igJdDN-DPgA", "content_kind": "Video", "readable_id": "squeeze-theorem"}, {"translated_youtube_id": "Ve99biD1KtA", "relative_url": "/video/proof--lim--sin-x--x", "has_questions": false, "keywords": "calculus, limit, squeeze, sin", "ka_url": "http://www.khanacademy.org/video/proof--lim--sin-x--x", "duration": 1085, "translated_title": "Proof: lim (sin x)/x", "translated_description_html": "Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1", "id": "24092", "description_html": "Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1", "title": "Proof: lim (sin x)/x", "progress_key": "v24092", "edit_slug": "edit/v/24092", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1", "extra_properties": null, "node_slug": "v/proof--lim--sin-x--x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ve99biD1KtA.mp4/Ve99biD1KtA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ve99biD1KtA.mp4/Ve99biD1KtA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ve99biD1KtA.m3u8/Ve99biD1KtA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ve99biD1KtA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24092", "sha": "2dea83261682295a814bc54b52ce929848bb65bd", "translated_description": "Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1", "image_url": "https://img.youtube.com/vi/Ve99biD1KtA/hqdefault.jpg", "youtube_id": "Ve99biD1KtA", "content_kind": "Video", "readable_id": "proof--lim--sin-x--x"}], "twitter_url": "", "translated_description": "If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between. Not only is this useful for proving certain tricky limits (we use it to prove lim (x → 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :)\n\nThis tutorial is useful but optional. It is covered in most calculus courses, but it is not necessary to progress on to the \"Introduction to derivatives\" tutorial.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between. Not only is this useful for proving certain tricky limits (we use it to prove lim (x → 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :)\n\nThis tutorial is useful but optional. It is covered in most calculus courses, but it is not necessary to progress on to the \"Introduction to derivatives\" tutorial.", "x_pos": 0.0, "node_slug": "squeeze_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe68bd0c8", "topic_page_url": "/math/calculus/limits_topic/squeeze_theorem", "extended_slug": "math/calculus/limits_topic/squeeze_theorem", "slug": "squeeze_theorem", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "52727e3ce60a2b6cee7eb408239d54c2dd36b57e", "standalone_title": "Squeeze theorem", "y_pos": 0.0, "current_revision_key": "52727e3ce60a2b6cee7eb408239d54c2dd36b57e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/limits_topic/epsilon_delta", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/limits_topic/epsilon_delta", "translated_standalone_title": "Epsilon delta definition of limits", "translated_title": "Epsilon delta definition of limits", "gplus_url": "", "id": "x30d739bd", "old_key_name": "t88MwsYpoJbJnw2SEf72t8XiVlv4iAxAUClM_DBJ", "hide": false, "title": "Epsilon delta definition of limits", "child_data": [{"kind": "Video", "id": 1312376615}, {"kind": "Video", "id": 1312579492}, {"kind": "Video", "id": 1312571391}, {"kind": "Video", "id": 1312638166}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24096}, {"kind": "Video", "id": 24098}], "children": [{"translated_youtube_id": "5i8HLmVTcRQ", "relative_url": "/video/limit-intuition-review", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limit-intuition-review", "duration": 216, "translated_title": "Limit intuition review", "translated_description_html": "", "id": "1312376615", "description_html": "", "title": "Limit intuition review", "progress_key": "v1312376615", "edit_slug": "edit/v/1312376615", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/limit-intuition-review", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-01-22T19:01:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5i8HLmVTcRQ.mp4/5i8HLmVTcRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5i8HLmVTcRQ.mp4/5i8HLmVTcRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5i8HLmVTcRQ.m3u8/5i8HLmVTcRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5i8HLmVTcRQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1312376615", "sha": "71e8fda106a6eeee5f701b580a26c29290b6835f", "translated_description": "", "image_url": "https://img.youtube.com/vi/5i8HLmVTcRQ/hqdefault.jpg", "youtube_id": "5i8HLmVTcRQ", "content_kind": "Video", "readable_id": "limit-intuition-review"}, {"translated_youtube_id": "ljzn4SADuZc", "relative_url": "/video/building-the-idea-of-epsilon-delta-definition", "has_questions": false, "keywords": "limits", "ka_url": "http://www.khanacademy.org/video/building-the-idea-of-epsilon-delta-definition", "duration": 366, "translated_title": "Building the idea of epsilon-delta definition", "translated_description_html": "", "id": "1312579492", "description_html": "", "title": "Building the idea of epsilon-delta definition", "progress_key": "v1312579492", "edit_slug": "edit/v/1312579492", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/building-the-idea-of-epsilon-delta-definition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T19:02:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ljzn4SADuZc.mp4/ljzn4SADuZc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ljzn4SADuZc.mp4/ljzn4SADuZc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ljzn4SADuZc.m3u8/ljzn4SADuZc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ljzn4SADuZc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1312579492", "sha": "93a9668cf359274ef88c48de77a9ae0861a2b075", "translated_description": "", "image_url": "https://img.youtube.com/vi/ljzn4SADuZc/hqdefault.jpg", "youtube_id": "ljzn4SADuZc", "content_kind": "Video", "readable_id": "building-the-idea-of-epsilon-delta-definition"}, {"translated_youtube_id": "w70af5Ou70M", "relative_url": "/video/epsilon-delta-definition-of-limits", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/epsilon-delta-definition-of-limits", "duration": 419, "translated_title": "Epsilon-delta definition of limits", "translated_description_html": "", "id": "1312571391", "description_html": "", "title": "Epsilon-delta definition of limits", "progress_key": "v1312571391", "edit_slug": "edit/v/1312571391", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/epsilon-delta-definition-of-limits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T19:03:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w70af5Ou70M.mp4/w70af5Ou70M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w70af5Ou70M.mp4/w70af5Ou70M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w70af5Ou70M.m3u8/w70af5Ou70M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w70af5Ou70M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1312571391", "sha": "b588191221833cda54d82009043b3fd4981ee3ac", "translated_description": "", "image_url": "https://img.youtube.com/vi/w70af5Ou70M/hqdefault.jpg", "youtube_id": "w70af5Ou70M", "content_kind": "Video", "readable_id": "epsilon-delta-definition-of-limits"}, {"translated_youtube_id": "0sCttufU-jQ", "relative_url": "/video/proving-a-limit-using-epsilon-delta-definition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/proving-a-limit-using-epsilon-delta-definition", "duration": 510, "translated_title": "Proving a limit using epsilon-delta definition", "translated_description_html": "", "id": "1312638166", "description_html": "", "title": "Proving a limit using epsilon-delta definition", "progress_key": "v1312638166", "edit_slug": "edit/v/1312638166", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/proving-a-limit-using-epsilon-delta-definition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T19:04:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0sCttufU-jQ.mp4/0sCttufU-jQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0sCttufU-jQ.mp4/0sCttufU-jQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0sCttufU-jQ.m3u8/0sCttufU-jQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0sCttufU-jQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1312638166", "sha": "076d5290d0b2c5c1d5ce693f42378c5897a44172", "translated_description": "", "image_url": "https://img.youtube.com/vi/0sCttufU-jQ/hqdefault.jpg", "youtube_id": "0sCttufU-jQ", "content_kind": "Video", "readable_id": "proving-a-limit-using-epsilon-delta-definition"}, {"translated_youtube_id": "-ejyeII0i5c", "relative_url": "/video/epsilon-delta-limit-definition-1", "has_questions": false, "keywords": "calculus, epsilon, delta, limit", "ka_url": "http://www.khanacademy.org/video/epsilon-delta-limit-definition-1", "duration": 768, "translated_title": "Epsilon-delta limit definition 1", "translated_description_html": "Introduction to the Epsilon Delta Definition of a Limit.", "id": "24096", "description_html": "Introduction to the Epsilon Delta Definition of a Limit.", "title": "Epsilon-delta limit definition 1", "progress_key": "v24096", "edit_slug": "edit/v/24096", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Epsilon Delta Definition of a Limit.", "extra_properties": null, "node_slug": "v/epsilon-delta-limit-definition-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-ejyeII0i5c.mp4/-ejyeII0i5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-ejyeII0i5c.mp4/-ejyeII0i5c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-ejyeII0i5c.m3u8/-ejyeII0i5c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-ejyeII0i5c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24096", "sha": "c3bad5bd5c357cad815de0ab882abb4fd2237ea7", "translated_description": "Introduction to the Epsilon Delta Definition of a Limit.", "image_url": "https://img.youtube.com/vi/-ejyeII0i5c/hqdefault.jpg", "youtube_id": "-ejyeII0i5c", "content_kind": "Video", "readable_id": "epsilon-delta-limit-definition-1"}, {"translated_youtube_id": "Fdu5-aNJTzU", "relative_url": "/video/epsilon-delta-limit-definition-2", "has_questions": false, "keywords": "epsilon, delta, limit, definition, CC_39336_A-CED_2, CC_39336_A-CED_3, CC_39336_A-CED_4", "ka_url": "http://www.khanacademy.org/video/epsilon-delta-limit-definition-2", "duration": 656, "translated_title": "Epsilon-delta limit definition 2", "translated_description_html": "Using the epsilon delta definition to prove a limit", "id": "24098", "description_html": "Using the epsilon delta definition to prove a limit", "title": "Epsilon-delta limit definition 2", "progress_key": "v24098", "edit_slug": "edit/v/24098", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the epsilon delta definition to prove a limit", "extra_properties": null, "node_slug": "v/epsilon-delta-limit-definition-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Fdu5-aNJTzU.mp4/Fdu5-aNJTzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Fdu5-aNJTzU.mp4/Fdu5-aNJTzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Fdu5-aNJTzU.m3u8/Fdu5-aNJTzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Fdu5-aNJTzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24098", "sha": "5246595fc4d654acc72f8ff28ba67fbaa46e1e3d", "translated_description": "Using the epsilon delta definition to prove a limit", "image_url": "https://img.youtube.com/vi/Fdu5-aNJTzU/hqdefault.jpg", "youtube_id": "Fdu5-aNJTzU", "content_kind": "Video", "readable_id": "epsilon-delta-limit-definition-2"}], "twitter_url": "", "translated_description": "This tutorial introduces a \"formal\" definition of limits. So put on your ball gown and/or tuxedo to party with Mr. Epsilon Delta (no, this is not referring to a fraternity).\n\nThis tends to be covered early in a traditional calculus class (right after basic limits), but we have mixed feelings about that. It is cool and rigorous, but also very \"mathy\" (as most rigorous things are). Don't fret if you have trouble with it the first time. If you have a basic conceptual understanding of what limits are (from the \"Limits\" tutorial), you're ready to start thinking about taking derivatives.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial introduces a \"formal\" definition of limits. So put on your ball gown and/or tuxedo to party with Mr. Epsilon Delta (no, this is not referring to a fraternity).\n\nThis tends to be covered early in a traditional calculus class (right after basic limits), but we have mixed feelings about that. It is cool and rigorous, but also very \"mathy\" (as most rigorous things are). Don't fret if you have trouble with it the first time. If you have a basic conceptual understanding of what limits are (from the \"Limits\" tutorial), you're ready to start thinking about taking derivatives.", "x_pos": 0.0, "node_slug": "epsilon_delta", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax30d739bd", "topic_page_url": "/math/calculus/limits_topic/epsilon_delta", "extended_slug": "math/calculus/limits_topic/epsilon_delta", "slug": "epsilon_delta", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a0662d95bc9f2204af48645ec67538b67ebf0f59", "standalone_title": "Epsilon delta definition of limits", "y_pos": 0.0, "current_revision_key": "a0662d95bc9f2204af48645ec67538b67ebf0f59", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Limit introduction, squeeze theorem, and epsilon-delta definition of limits", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Limit introduction, squeeze theorem, and epsilon-delta definition of limits", "x_pos": 0.0, "node_slug": "limits_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-19T03:03:12Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb22c9a5f", "topic_page_url": "/math/calculus/limits_topic", "extended_slug": "math/calculus/limits_topic", "slug": "limits_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "88061bc14a7d3dca8688d5e4a9b779212fd170fc", "standalone_title": "Limits", "y_pos": 0.0, "current_revision_key": "88061bc14a7d3dca8688d5e4a9b779212fd170fc", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/differential-calculus-40x40.png", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus", "translated_standalone_title": "Taking derivatives", "translated_title": "Taking derivatives", "gplus_url": "", "id": "x02f26269", "old_key_name": "BoVJh13O31TOPpaa0VnADNuFos89D_bJrSRXpd_9", "hide": false, "title": "Taking derivatives", "child_data": [{"kind": "Topic", "id": "x9a08f88a"}, {"kind": "Topic", "id": "x9d8fe7af"}, {"kind": "Topic", "id": "xccc0e764"}, {"kind": "Topic", "id": "x830b81ea"}, {"kind": "Topic", "id": "x8e56468a"}, {"kind": "Topic", "id": "xbc84f7d2"}, {"kind": "Topic", "id": "xb76e02b5"}, {"kind": "Topic", "id": "xa74bc799"}, {"kind": "Topic", "id": "x9468e656"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/intro_differential_calc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/intro_differential_calc", "translated_standalone_title": "Introduction to differential calculus", "translated_title": "Introduction to differential calculus", "gplus_url": "", "id": "x9a08f88a", "old_key_name": "2lEDHyZ_bEruaEV8fINlwZg811VyCohvUzT1NkEu", "hide": false, "title": "Introduction to differential calculus", "child_data": [{"kind": "Video", "id": 581541547}], "children": [{"translated_youtube_id": "EKvHQc3QEow", "relative_url": "/video/newton-leibniz-and-usain-bolt", "has_questions": false, "keywords": "math, calculus, marquee", "ka_url": "http://www.khanacademy.org/video/newton-leibniz-and-usain-bolt", "duration": 547, "translated_title": "Newton, Leibniz, and Usain Bolt", "translated_description_html": "Why we study differential calculus", "id": "581541547", "description_html": "Why we study differential calculus", "title": "Newton, Leibniz, and Usain Bolt", "progress_key": "v581541547", "edit_slug": "edit/v/581541547", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why we study differential calculus", "extra_properties": null, "node_slug": "v/newton-leibniz-and-usain-bolt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-16T21:32:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EKvHQc3QEow.mp4/EKvHQc3QEow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EKvHQc3QEow.mp4/EKvHQc3QEow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EKvHQc3QEow.m3u8/EKvHQc3QEow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EKvHQc3QEow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v581541547", "sha": "a3a6a9bfab966bfae109a08a22d6a452d27913e0", "translated_description": "Why we study differential calculus", "image_url": "https://img.youtube.com/vi/EKvHQc3QEow/hqdefault.jpg", "youtube_id": "EKvHQc3QEow", "content_kind": "Video", "readable_id": "newton-leibniz-and-usain-bolt"}], "twitter_url": "", "translated_description": "The topic that is now known as \"calculus\" was really called \"the calculus of differentials\" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small \"changes\" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The topic that is now known as \"calculus\" was really called \"the calculus of differentials\" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small \"changes\" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.", "x_pos": 0.0, "node_slug": "intro_differential_calc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9a08f88a", "topic_page_url": "/math/calculus/differential-calculus/intro_differential_calc", "extended_slug": "math/calculus/differential-calculus/intro_differential_calc", "slug": "intro_differential_calc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c0b71639f79e00d258adf26b96b9720769279d52", "standalone_title": "Introduction to differential calculus", "y_pos": 0.0, "current_revision_key": "c0b71639f79e00d258adf26b96b9720769279d52", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/secant-line-slope-tangent", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/secant-line-slope-tangent", "translated_standalone_title": "Using secant line slopes to approximate tangent slope", "translated_title": "Using secant line slopes to approximate tangent slope", "gplus_url": "", "id": "x9d8fe7af", "old_key_name": null, "hide": false, "title": "Using secant line slopes to approximate tangent slope", "child_data": [{"kind": "Video", "id": "xed57a1a5"}, {"kind": "Video", "id": "xdb7e3de5"}, {"kind": "Video", "id": "xc6f5c1ed"}, {"kind": "Video", "id": "xec2af377"}, {"kind": "Video", "id": "x49e1b9bd"}, {"kind": "Video", "id": "xd02b4163"}, {"kind": "Exercise", "id": "x8dea5966"}], "children": [{"translated_youtube_id": "8r8Vp_1iB4k", "relative_url": "/video/slope-of-a-line-secant-to-a-curve", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-of-a-line-secant-to-a-curve", "duration": 437, "translated_title": "Slope of a line secant to a curve", "translated_description_html": "", "id": "xed57a1a5", "description_html": "", "title": "Slope of a line secant to a curve", "progress_key": "vxed57a1a5", "edit_slug": "edit/v/xed57a1a5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/slope-of-a-line-secant-to-a-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-02T20:23:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8r8Vp_1iB4k.mp4/8r8Vp_1iB4k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8r8Vp_1iB4k.mp4/8r8Vp_1iB4k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8r8Vp_1iB4k.m3u8/8r8Vp_1iB4k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8r8Vp_1iB4k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxed57a1a5", "sha": "7100a220c2152d5e508c53917ceef631d8205207", "translated_description": "", "image_url": "https://img.youtube.com/vi/8r8Vp_1iB4k/hqdefault.jpg", "youtube_id": "8r8Vp_1iB4k", "content_kind": "Video", "readable_id": "slope-of-a-line-secant-to-a-curve"}, {"translated_youtube_id": "0zExhHh7_Ic", "relative_url": "/video/slope-of-a-secant-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-of-a-secant-line", "duration": 259, "translated_title": "Slope of a secant line example 1", "translated_description_html": "", "id": "xdb7e3de5", "description_html": "", "title": "Slope of a secant line example 1", "progress_key": "vxdb7e3de5", "edit_slug": "edit/v/xdb7e3de5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/slope-of-a-secant-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-02T20:23:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0zExhHh7_Ic.mp4/0zExhHh7_Ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0zExhHh7_Ic.mp4/0zExhHh7_Ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0zExhHh7_Ic.m3u8/0zExhHh7_Ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0zExhHh7_Ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdb7e3de5", "sha": "834bb5c46786081ad8ad759693ff378a63fe714c", "translated_description": "", "image_url": "https://img.youtube.com/vi/0zExhHh7_Ic/hqdefault.jpg", "youtube_id": "0zExhHh7_Ic", "content_kind": "Video", "readable_id": "slope-of-a-secant-line"}, {"translated_youtube_id": "XdsifNBa9kk", "relative_url": "/video/slopes-of-secant-lines", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slopes-of-secant-lines", "duration": 441, "translated_title": "Slope of a secant line example 2", "translated_description_html": "", "id": "xc6f5c1ed", "description_html": "", "title": "Slope of a secant line example 2", "progress_key": "vxc6f5c1ed", "edit_slug": "edit/v/xc6f5c1ed", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/slopes-of-secant-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-02T18:03:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XdsifNBa9kk.mp4/XdsifNBa9kk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XdsifNBa9kk.mp4/XdsifNBa9kk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XdsifNBa9kk.m3u8/XdsifNBa9kk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XdsifNBa9kk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc6f5c1ed", "sha": "aef7bda6d0fec3d41ab65341a188d1caa15a6a38", "translated_description": "", "image_url": "https://img.youtube.com/vi/XdsifNBa9kk/hqdefault.jpg", "youtube_id": "XdsifNBa9kk", "content_kind": "Video", "readable_id": "slopes-of-secant-lines"}, {"translated_youtube_id": "H6ZNLD1AeM8", "relative_url": "/video/slope-of-a-secant-line-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/slope-of-a-secant-line-example-3", "duration": 378, "translated_title": "Slope of a secant line example 3", "translated_description_html": "", "id": "xec2af377", "description_html": "", "title": "Slope of a secant line example 3", "progress_key": "vxec2af377", "edit_slug": "edit/v/xec2af377", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/slope-of-a-secant-line-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T20:23:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H6ZNLD1AeM8.mp4/H6ZNLD1AeM8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H6ZNLD1AeM8.mp4/H6ZNLD1AeM8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H6ZNLD1AeM8.m3u8/H6ZNLD1AeM8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H6ZNLD1AeM8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec2af377", "sha": "b226d757ee4516e6a751eca8fdcae04ad2129650", "translated_description": "", "image_url": "https://img.youtube.com/vi/H6ZNLD1AeM8/hqdefault.jpg", "youtube_id": "H6ZNLD1AeM8", "content_kind": "Video", "readable_id": "slope-of-a-secant-line-example-3"}, {"translated_youtube_id": "fI6w2kL295Y", "relative_url": "/video/approximating-instantaneous-rate-of-change-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/approximating-instantaneous-rate-of-change-word-problem-1", "duration": 402, "translated_title": "Approximating instantaneous rate of change word problem", "translated_description_html": "", "id": "x49e1b9bd", "description_html": "", "title": "Approximating instantaneous rate of change word problem", "progress_key": "vx49e1b9bd", "edit_slug": "edit/v/x49e1b9bd", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/approximating-instantaneous-rate-of-change-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T19:06:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fI6w2kL295Y.mp4/fI6w2kL295Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fI6w2kL295Y.mp4/fI6w2kL295Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fI6w2kL295Y.m3u8/fI6w2kL295Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fI6w2kL295Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx49e1b9bd", "sha": "b6bbdaf4656b353dcb1dd64f9f3538fa07508ab8", "translated_description": "", "image_url": "https://img.youtube.com/vi/fI6w2kL295Y/hqdefault.jpg", "youtube_id": "fI6w2kL295Y", "content_kind": "Video", "readable_id": "approximating-instantaneous-rate-of-change-word-problem-1"}, {"translated_youtube_id": "2oHUkHYtQoM", "relative_url": "/video/approximating-equation-of-tangent-line-word-problem-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/approximating-equation-of-tangent-line-word-problem-1", "duration": 255, "translated_title": "Approximating equation of tangent line word problem", "translated_description_html": "", "id": "xd02b4163", "description_html": "", "title": "Approximating equation of tangent line word problem", "progress_key": "vxd02b4163", "edit_slug": "edit/v/xd02b4163", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/approximating-equation-of-tangent-line-word-problem-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T19:06:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2oHUkHYtQoM.mp4/2oHUkHYtQoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2oHUkHYtQoM.mp4/2oHUkHYtQoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2oHUkHYtQoM.m3u8/2oHUkHYtQoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2oHUkHYtQoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd02b4163", "sha": "067d256bfb1b2a6dff672ac7bb7ae7c1308dfc95", "translated_description": "", "image_url": "https://img.youtube.com/vi/2oHUkHYtQoM/hqdefault.jpg", "youtube_id": "2oHUkHYtQoM", "content_kind": "Video", "readable_id": "approximating-equation-of-tangent-line-word-problem-1"}], "twitter_url": "", "translated_description": "The idea of slope is fairly straightforward-- (change in vertical) over (change in horizontal). But how do we measure this if the (change in horizontal) is zero (which would be the case when finding the slope of the tangent line. In this tutorial, we'll approximate this by finding the slopes of secant lines.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The idea of slope is fairly straightforward-- (change in vertical) over (change in horizontal). But how do we measure this if the (change in horizontal) is zero (which would be the case when finding the slope of the tangent line. In this tutorial, we'll approximate this by finding the slopes of secant lines.", "x_pos": 0.0, "node_slug": "secant-line-slope-tangent", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T20:06:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9d8fe7af", "topic_page_url": "/math/calculus/differential-calculus/secant-line-slope-tangent", "extended_slug": "math/calculus/differential-calculus/secant-line-slope-tangent", "slug": "secant-line-slope-tangent", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "07e6071461eee4e664ccd747212aff5de86b5fe8", "standalone_title": "Using secant line slopes to approximate tangent slope", "y_pos": 0.0, "current_revision_key": "07e6071461eee4e664ccd747212aff5de86b5fe8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/derivative_intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro", "translated_standalone_title": "Introduction to derivatives", "translated_title": "Introduction to derivatives", "gplus_url": "", "id": "xccc0e764", "old_key_name": "oyEDv_IzmUDfjvEqIjgo7jJeN4D67F2SgNW5NbcN", "hide": false, "title": "Introduction to derivatives", "child_data": [{"kind": "Video", "id": 24100}, {"kind": "Video", "id": "xf4f3ffcd"}, {"kind": "Video", "id": "xf9828bdf"}, {"kind": "Video", "id": "x22e79f7d"}, {"kind": "Exercise", "id": "x04bafc1d"}, {"kind": "Video", "id": 24102}, {"kind": "Exercise", "id": 4651379}, {"kind": "Video", "id": 24104}, {"kind": "Video", "id": "x2c6e38f4"}, {"kind": "Video", "id": "x86a51654"}, {"kind": "Video", "id": "x04bbe3f0"}, {"kind": "Exercise", "id": "x6056e694"}, {"kind": "Video", "id": "x4da008e5"}, {"kind": "Exercise", "id": 1425282221}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24106}, {"kind": "Video", "id": 24108}], "children": [{"translated_youtube_id": "ANyVpMS3HL4", "relative_url": "/video/calculus--derivatives-1--new-hd-version", "has_questions": false, "keywords": "calculus, derivative, CC_8_EE_5, CC_8_F_5, CC_39336_A-CED_2, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-1--new-hd-version", "duration": 943, "translated_title": "Derivative as slope of a tangent line", "translated_description_html": "

Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)<\/p>\n", "id": "24100", "description_html": "

Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)<\/p>\n", "title": "Derivative as slope of a tangent line", "progress_key": "v24100", "edit_slug": "edit/v/24100", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/calculus--derivatives-1--new-hd-version", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ANyVpMS3HL4.mp4/ANyVpMS3HL4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ANyVpMS3HL4.mp4/ANyVpMS3HL4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ANyVpMS3HL4.m3u8/ANyVpMS3HL4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ANyVpMS3HL4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24100", "sha": "11cc8f799894cc3b912092b2fa2fa79bd41c7cef", "translated_description": "Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)\n", "image_url": "https://img.youtube.com/vi/ANyVpMS3HL4/hqdefault.jpg", "youtube_id": "ANyVpMS3HL4", "content_kind": "Video", "readable_id": "calculus--derivatives-1--new-hd-version"}, {"translated_youtube_id": "nGCW5teACC0", "relative_url": "/video/tangent-slope-as-limiting-value-of-secant-slope-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tangent-slope-as-limiting-value-of-secant-slope-example-1", "duration": 325, "translated_title": "Tangent slope as limiting value of secant slope example 1", "translated_description_html": "", "id": "xf4f3ffcd", "description_html": "", "title": "Tangent slope as limiting value of secant slope example 1", "progress_key": "vxf4f3ffcd", "edit_slug": "edit/v/xf4f3ffcd", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/tangent-slope-as-limiting-value-of-secant-slope-example-1", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-08-13T19:01:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nGCW5teACC0.mp4/nGCW5teACC0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nGCW5teACC0.mp4/nGCW5teACC0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nGCW5teACC0.m3u8/nGCW5teACC0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nGCW5teACC0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf4f3ffcd", "sha": "555c043dbaa029ed78612e71ca7d73771f1c336b", "translated_description": "", "image_url": "https://img.youtube.com/vi/nGCW5teACC0/hqdefault.jpg", "youtube_id": "nGCW5teACC0", "content_kind": "Video", "readable_id": "tangent-slope-as-limiting-value-of-secant-slope-example-1"}, {"translated_youtube_id": "H5eIE7zdnvI", "relative_url": "/video/tangent-slope-as-limiting-value-of-secant-slope-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tangent-slope-as-limiting-value-of-secant-slope-example-2", "duration": 365, "translated_title": "Tangent slope as limiting value of secant slope example 2", "translated_description_html": "", "id": "xf9828bdf", "description_html": "", "title": "Tangent slope as limiting value of secant slope example 2", "progress_key": "vxf9828bdf", "edit_slug": "edit/v/xf9828bdf", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/tangent-slope-as-limiting-value-of-secant-slope-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-13T19:01:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H5eIE7zdnvI.mp4/H5eIE7zdnvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H5eIE7zdnvI.mp4/H5eIE7zdnvI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H5eIE7zdnvI.m3u8/H5eIE7zdnvI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H5eIE7zdnvI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf9828bdf", "sha": "7032fc7f8feedfd665d8f5ed52e0289ce611f99b", "translated_description": "", "image_url": "https://img.youtube.com/vi/H5eIE7zdnvI/hqdefault.jpg", "youtube_id": "H5eIE7zdnvI", "content_kind": "Video", "readable_id": "tangent-slope-as-limiting-value-of-secant-slope-example-2"}, {"translated_youtube_id": "hoRISaqp1Po", "relative_url": "/video/tangent-slope-as-limiting-value-of-secant-slope-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tangent-slope-as-limiting-value-of-secant-slope-example-3", "duration": 226, "translated_title": "Tangent slope as limiting value of secant slope example 3", "translated_description_html": "", "id": "x22e79f7d", "description_html": "", "title": "Tangent slope as limiting value of secant slope example 3", "progress_key": "vx22e79f7d", "edit_slug": "edit/v/x22e79f7d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/tangent-slope-as-limiting-value-of-secant-slope-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T19:01:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hoRISaqp1Po.mp4/hoRISaqp1Po.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hoRISaqp1Po.mp4/hoRISaqp1Po.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hoRISaqp1Po.m3u8/hoRISaqp1Po.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hoRISaqp1Po&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx22e79f7d", "sha": "31aaa02c3727c3dabbf5785b89e5051de82d4ffc", "translated_description": "", "image_url": "https://img.youtube.com/vi/hoRISaqp1Po/hqdefault.jpg", "youtube_id": "hoRISaqp1Po", "content_kind": "Video", "readable_id": "tangent-slope-as-limiting-value-of-secant-slope-example-3"}, {"translated_youtube_id": "IePCHjMeFkE", "relative_url": "/video/calculus--derivatives-2--new-hd-version", "has_questions": false, "keywords": "slope, derivative, CC_8_EE_5", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-2--new-hd-version", "duration": 508, "translated_title": "Calculating slope of tangent line using derivative definition", "translated_description_html": "Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.", "id": "24102", "description_html": "Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.", "title": "Calculating slope of tangent line using derivative definition", "progress_key": "v24102", "edit_slug": "edit/v/24102", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.", "extra_properties": null, "node_slug": "v/calculus--derivatives-2--new-hd-version", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IePCHjMeFkE.mp4/IePCHjMeFkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IePCHjMeFkE.mp4/IePCHjMeFkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IePCHjMeFkE.m3u8/IePCHjMeFkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IePCHjMeFkE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24102", "sha": "bff6dc56e4ba1ef8910c96f287f27698625c1e80", "translated_description": "Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.", "image_url": "https://img.youtube.com/vi/IePCHjMeFkE/hqdefault.jpg", "youtube_id": "IePCHjMeFkE", "content_kind": "Video", "readable_id": "calculus--derivatives-2--new-hd-version"}, {"translated_youtube_id": "HEH_oKNLgUU", "relative_url": "/video/calculus--derivatives-2-5--new-hd-version", "has_questions": false, "keywords": "calculus, derivative", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-2-5--new-hd-version", "duration": 665, "translated_title": "The derivative of f(x)=x^2 for any x", "translated_description_html": "Calculus-Derivative: Finding the derivative of y=x^2", "id": "24104", "description_html": "Calculus-Derivative: Finding the derivative of y=x^2", "title": "The derivative of f(x)=x^2 for any x", "progress_key": "v24104", "edit_slug": "edit/v/24104", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculus-Derivative: Finding the derivative of y=x^2", "extra_properties": null, "node_slug": "v/calculus--derivatives-2-5--new-hd-version", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HEH_oKNLgUU.mp4/HEH_oKNLgUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HEH_oKNLgUU.mp4/HEH_oKNLgUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HEH_oKNLgUU.m3u8/HEH_oKNLgUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HEH_oKNLgUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24104", "sha": "eeafa7305c25a45faf53a03be567577e05197b56", "translated_description": "Calculus-Derivative: Finding the derivative of y=x^2", "image_url": "https://img.youtube.com/vi/HEH_oKNLgUU/hqdefault.jpg", "youtube_id": "HEH_oKNLgUU", "content_kind": "Video", "readable_id": "calculus--derivatives-2-5--new-hd-version"}, {"translated_youtube_id": "Df2escG-Vu0", "relative_url": "/video/alternate-form-of-the-derivative", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alternate-form-of-the-derivative", "duration": 293, "translated_title": "Formal and alternate form of the derivative", "translated_description_html": "", "id": "x2c6e38f4", "description_html": "", "title": "Formal and alternate form of the derivative", "progress_key": "vx2c6e38f4", "edit_slug": "edit/v/x2c6e38f4", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/alternate-form-of-the-derivative", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-13T20:03:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Df2escG-Vu0.mp4/Df2escG-Vu0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Df2escG-Vu0.mp4/Df2escG-Vu0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Df2escG-Vu0.m3u8/Df2escG-Vu0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Df2escG-Vu0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2c6e38f4", "sha": "195bffc47cd011d9de92a790edc7f5f3814d8a5e", "translated_description": "", "image_url": "https://img.youtube.com/vi/Df2escG-Vu0/hqdefault.jpg", "youtube_id": "Df2escG-Vu0", "content_kind": "Video", "readable_id": "alternate-form-of-the-derivative"}, {"translated_youtube_id": "m8yC7kR5Fuk", "relative_url": "/video/formal-and-alternate-form-of-the-derivative-for-ln-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formal-and-alternate-form-of-the-derivative-for-ln-x", "duration": 346, "translated_title": "Formal and alternate form of the derivative for ln x", "translated_description_html": "", "id": "x86a51654", "description_html": "", "title": "Formal and alternate form of the derivative for ln x", "progress_key": "vx86a51654", "edit_slug": "edit/v/x86a51654", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/formal-and-alternate-form-of-the-derivative-for-ln-x", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-13T20:59:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m8yC7kR5Fuk.mp4/m8yC7kR5Fuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m8yC7kR5Fuk.mp4/m8yC7kR5Fuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m8yC7kR5Fuk.m3u8/m8yC7kR5Fuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m8yC7kR5Fuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx86a51654", "sha": "86719ba57f7ee637dfdadb79730baf295def690e", "translated_description": "", "image_url": "https://img.youtube.com/vi/m8yC7kR5Fuk/hqdefault.jpg", "youtube_id": "m8yC7kR5Fuk", "content_kind": "Video", "readable_id": "formal-and-alternate-form-of-the-derivative-for-ln-x"}, {"translated_youtube_id": "ePh8iCbcXfA", "relative_url": "/video/formal-and-alternate-form-of-the-derivative-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formal-and-alternate-form-of-the-derivative-example-1", "duration": 317, "translated_title": "Formal and alternate form of the derivative example 1", "translated_description_html": "", "id": "x04bbe3f0", "description_html": "", "title": "Formal and alternate form of the derivative example 1", "progress_key": "vx04bbe3f0", "edit_slug": "edit/v/x04bbe3f0", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/formal-and-alternate-form-of-the-derivative-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-13T20:03:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ePh8iCbcXfA.mp4/ePh8iCbcXfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ePh8iCbcXfA.mp4/ePh8iCbcXfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ePh8iCbcXfA.m3u8/ePh8iCbcXfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ePh8iCbcXfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx04bbe3f0", "sha": "271c86679972eb573ffaf17cf4b107effcb3b674", "translated_description": "", "image_url": "https://img.youtube.com/vi/ePh8iCbcXfA/hqdefault.jpg", "youtube_id": "ePh8iCbcXfA", "content_kind": "Video", "readable_id": "formal-and-alternate-form-of-the-derivative-example-1"}, {"translated_youtube_id": "CpDfay5NeCg", "relative_url": "/video/interpreting-slope-of-a-curve-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-slope-of-a-curve-exercise", "duration": 171, "translated_title": "Interpreting slope of a curve exercise", "translated_description_html": "", "id": "x4da008e5", "description_html": "", "title": "Interpreting slope of a curve exercise", "progress_key": "vx4da008e5", "edit_slug": "edit/v/x4da008e5", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-slope-of-a-curve-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CpDfay5NeCg.mp4/CpDfay5NeCg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CpDfay5NeCg.mp4/CpDfay5NeCg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CpDfay5NeCg.m3u8/CpDfay5NeCg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CpDfay5NeCg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4da008e5", "sha": "b71b5a7fb5571a00f00d08cf967845590e802234", "translated_description": "", "image_url": "https://img.youtube.com/vi/CpDfay5NeCg/hqdefault.jpg", "youtube_id": "CpDfay5NeCg", "content_kind": "Video", "readable_id": "interpreting-slope-of-a-curve-exercise"}, {"translated_youtube_id": "rAof9Ld5sOg", "relative_url": "/video/calculus--derivatives-1", "has_questions": false, "keywords": "calculus, math, derivative, khan, academy", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-1", "duration": 566, "translated_title": "Calculus: Derivatives 1", "translated_description_html": "Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.", "id": "24106", "description_html": "Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.", "title": "Calculus: Derivatives 1", "progress_key": "v24106", "edit_slug": "edit/v/24106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.", "extra_properties": null, "node_slug": "v/calculus--derivatives-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rAof9Ld5sOg.mp4/rAof9Ld5sOg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rAof9Ld5sOg.mp4/rAof9Ld5sOg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rAof9Ld5sOg.m3u8/rAof9Ld5sOg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rAof9Ld5sOg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24106", "sha": "698439dc9a3a123bb8f45e899075009d5f6ed3f9", "translated_description": "Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.", "image_url": "https://img.youtube.com/vi/rAof9Ld5sOg/hqdefault.jpg", "youtube_id": "rAof9Ld5sOg", "content_kind": "Video", "readable_id": "calculus--derivatives-1"}, {"translated_youtube_id": "ay8838UZ4nM", "relative_url": "/video/calculus--derivatives-2", "has_questions": false, "keywords": "derivative, calculus, math, khan, academy", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-2", "duration": 570, "translated_title": "Calculus: Derivatives 2", "translated_description_html": "More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2", "id": "24108", "description_html": "More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2", "title": "Calculus: Derivatives 2", "progress_key": "v24108", "edit_slug": "edit/v/24108", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2", "extra_properties": null, "node_slug": "v/calculus--derivatives-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ay8838UZ4nM.mp4/ay8838UZ4nM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ay8838UZ4nM.mp4/ay8838UZ4nM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ay8838UZ4nM.m3u8/ay8838UZ4nM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ay8838UZ4nM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24108", "sha": "c017d325d40895f2f37452696c6512c44cefa7a4", "translated_description": "More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2", "image_url": "https://img.youtube.com/vi/ay8838UZ4nM/hqdefault.jpg", "youtube_id": "ay8838UZ4nM", "content_kind": "Video", "readable_id": "calculus--derivatives-2"}], "twitter_url": "", "translated_description": "Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.", "x_pos": 0.0, "node_slug": "derivative_intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T21:02:18Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axccc0e764", "topic_page_url": "/math/calculus/differential-calculus/derivative_intro", "extended_slug": "math/calculus/differential-calculus/derivative_intro", "slug": "derivative_intro", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "69c6520ebe2b3b9ffe1d6d9375ef454b7bef5307", "standalone_title": "Introduction to derivatives", "y_pos": 0.0, "current_revision_key": "69c6520ebe2b3b9ffe1d6d9375ef454b7bef5307", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/visualizing-derivatives-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/visualizing-derivatives-tutorial", "translated_standalone_title": "Visualizing derivatives and antiderivatives", "translated_title": "Visualizing graphs of functions and their derivatives", "gplus_url": "", "id": "x830b81ea", "old_key_name": "Xx48xiB8qU12mzOVe0c2Dg0rzTHpkiCuE-1XPzGi", "hide": false, "title": "Visualizing graphs of functions and their derivatives", "child_data": [{"kind": "Video", "id": 326399715}, {"kind": "Exercise", "id": 261804192}, {"kind": "Video", "id": "x31dde586"}, {"kind": "Video", "id": "xf0226494"}, {"kind": "Video", "id": "x3262ea6a"}, {"kind": "Video", "id": "xed8375f0"}, {"kind": "Exercise", "id": "x2dafcbfc"}, {"kind": "Video", "id": 1315214647}, {"kind": "Video", "id": 1314533852}, {"kind": "Video", "id": 1312099958}, {"kind": "Exercise", "id": 1283391050}], "children": [{"translated_youtube_id": "HtvikVD9aa0", "relative_url": "/video/derivative-intuition-module", "has_questions": false, "keywords": "calculus, derivative, tangent, line", "ka_url": "http://www.khanacademy.org/video/derivative-intuition-module", "duration": 238, "translated_title": "Derivative intuition module", "translated_description_html": "Sal walking through the derivative intuition module made by Ben Eater", "id": "326399715", "description_html": "Sal walking through the derivative intuition module made by Ben Eater", "title": "Derivative intuition module", "progress_key": "v326399715", "edit_slug": "edit/v/326399715", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal walking through the derivative intuition module made by Ben Eater", "extra_properties": null, "node_slug": "v/derivative-intuition-module", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-21T10:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HtvikVD9aa0.mp4/HtvikVD9aa0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HtvikVD9aa0.mp4/HtvikVD9aa0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HtvikVD9aa0.m3u8/HtvikVD9aa0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HtvikVD9aa0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v326399715", "sha": "740c96dd6ee9b4c6c918ac39a1b5f1d4672b2f35", "translated_description": "Sal walking through the derivative intuition module made by Ben Eater", "image_url": "https://img.youtube.com/vi/HtvikVD9aa0/hqdefault.jpg", "youtube_id": "HtvikVD9aa0", "content_kind": "Video", "readable_id": "derivative-intuition-module"}, {"translated_youtube_id": "P3IlneCNm8A", "relative_url": "/video/graphs-of-functions-and-their-derivatives-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graphs-of-functions-and-their-derivatives-example-1", "duration": 357, "translated_title": "Graphs of functions and their derivatives example 1", "translated_description_html": "", "id": "x31dde586", "description_html": "", "title": "Graphs of functions and their derivatives example 1", "progress_key": "vx31dde586", "edit_slug": "edit/v/x31dde586", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/graphs-of-functions-and-their-derivatives-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-22T16:09:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P3IlneCNm8A.mp4/P3IlneCNm8A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P3IlneCNm8A.mp4/P3IlneCNm8A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P3IlneCNm8A.m3u8/P3IlneCNm8A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P3IlneCNm8A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31dde586", "sha": "ff01f77e84a6bd92e08f111a136df9c49cd027fe", "translated_description": "", "image_url": "https://img.youtube.com/vi/P3IlneCNm8A/hqdefault.jpg", "youtube_id": "P3IlneCNm8A", "content_kind": "Video", "readable_id": "graphs-of-functions-and-their-derivatives-example-1"}, {"translated_youtube_id": "pj1VvscsV0s", "relative_url": "/video/where-a-function-is-not-differentiable", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/where-a-function-is-not-differentiable", "duration": 215, "translated_title": "Where a function is not differentiable", "translated_description_html": "", "id": "xf0226494", "description_html": "", "title": "Where a function is not differentiable", "progress_key": "vxf0226494", "edit_slug": "edit/v/xf0226494", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/where-a-function-is-not-differentiable", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-22T16:09:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pj1VvscsV0s.mp4/pj1VvscsV0s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pj1VvscsV0s.mp4/pj1VvscsV0s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pj1VvscsV0s.m3u8/pj1VvscsV0s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pj1VvscsV0s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf0226494", "sha": "e4513ff99e1a82e059f3fe596e62786485f94688", "translated_description": "", "image_url": "https://img.youtube.com/vi/pj1VvscsV0s/hqdefault.jpg", "youtube_id": "pj1VvscsV0s", "content_kind": "Video", "readable_id": "where-a-function-is-not-differentiable"}, {"translated_youtube_id": "NFzma7NsHtI", "relative_url": "/video/identifying--a-function-s-derivative-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/identifying--a-function-s-derivative-example", "duration": 158, "translated_title": "Identifying a function's derivative example", "translated_description_html": "", "id": "x3262ea6a", "description_html": "", "title": "Identifying a function's derivative example", "progress_key": "vx3262ea6a", "edit_slug": "edit/v/x3262ea6a", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/identifying--a-function-s-derivative-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-22T16:09:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NFzma7NsHtI.mp4/NFzma7NsHtI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NFzma7NsHtI.mp4/NFzma7NsHtI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NFzma7NsHtI.m3u8/NFzma7NsHtI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NFzma7NsHtI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3262ea6a", "sha": "25b64e35d03528df93cd02649d73a121f74e5321", "translated_description": "", "image_url": "https://img.youtube.com/vi/NFzma7NsHtI/hqdefault.jpg", "youtube_id": "NFzma7NsHtI", "content_kind": "Video", "readable_id": "identifying--a-function-s-derivative-example"}, {"translated_youtube_id": "PF6_y4zYVec", "relative_url": "/video/figuring-out-which-function-is-the-the-derivative", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/figuring-out-which-function-is-the-the-derivative", "duration": 243, "translated_title": "Figuring out which function is the the derivative", "translated_description_html": "", "id": "xed8375f0", "description_html": "", "title": "Figuring out which function is the the derivative", "progress_key": "vxed8375f0", "edit_slug": "edit/v/xed8375f0", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/figuring-out-which-function-is-the-the-derivative", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-22T16:09:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PF6_y4zYVec.mp4/PF6_y4zYVec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PF6_y4zYVec.mp4/PF6_y4zYVec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PF6_y4zYVec.m3u8/PF6_y4zYVec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PF6_y4zYVec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxed8375f0", "sha": "a3116a50ef031e130520bb32b2b07096e2b668d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/PF6_y4zYVec/hqdefault.jpg", "youtube_id": "PF6_y4zYVec", "content_kind": "Video", "readable_id": "figuring-out-which-function-is-the-the-derivative"}, {"translated_youtube_id": "eVme7kuGyuo", "relative_url": "/video/intuitively-drawing-the-derivative-of-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intuitively-drawing-the-derivative-of-a-function", "duration": 305, "translated_title": "Intuitively drawing the derivative of a function", "translated_description_html": "", "id": "1315214647", "description_html": "", "title": "Intuitively drawing the derivative of a function", "progress_key": "v1315214647", "edit_slug": "edit/v/1315214647", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/intuitively-drawing-the-derivative-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T16:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eVme7kuGyuo.mp4/eVme7kuGyuo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eVme7kuGyuo.mp4/eVme7kuGyuo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eVme7kuGyuo.m3u8/eVme7kuGyuo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eVme7kuGyuo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1315214647", "sha": "dd308463a98bca1bc6a48701041a717646db6a60", "translated_description": "", "image_url": "https://img.youtube.com/vi/eVme7kuGyuo/hqdefault.jpg", "youtube_id": "eVme7kuGyuo", "content_kind": "Video", "readable_id": "intuitively-drawing-the-derivative-of-a-function"}, {"translated_youtube_id": "61ecnr8m04U", "relative_url": "/video/intuitively-drawing-the-anitderivative-of-a-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intuitively-drawing-the-anitderivative-of-a-function", "duration": 405, "translated_title": "Intuitively drawing the antiderivative of a function", "translated_description_html": "", "id": "1314533852", "description_html": "", "title": "Intuitively drawing the antiderivative of a function", "progress_key": "v1314533852", "edit_slug": "edit/v/1314533852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/intuitively-drawing-the-anitderivative-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-23T16:52:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/61ecnr8m04U.mp4/61ecnr8m04U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/61ecnr8m04U.mp4/61ecnr8m04U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/61ecnr8m04U.m3u8/61ecnr8m04U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=61ecnr8m04U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1314533852", "sha": "31be5d1c6add651cfd72618c93dfb248d7909750", "translated_description": "", "image_url": "https://img.youtube.com/vi/61ecnr8m04U/hqdefault.jpg", "youtube_id": "61ecnr8m04U", "content_kind": "Video", "readable_id": "intuitively-drawing-the-anitderivative-of-a-function"}, {"translated_youtube_id": "EeIXVN1zUeM", "relative_url": "/video/visualizing-derivatives-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visualizing-derivatives-exercise", "duration": 236, "translated_title": "Visualizing derivatives exercise", "translated_description_html": "Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives\n\nExercise made by Stephanie Chang", "id": "1312099958", "description_html": "Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives\n\nExercise made by Stephanie Chang", "title": "Visualizing derivatives exercise", "progress_key": "v1312099958", "edit_slug": "edit/v/1312099958", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives\n\nExercise made by Stephanie Chang", "extra_properties": null, "node_slug": "v/visualizing-derivatives-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T19:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EeIXVN1zUeM.mp4/EeIXVN1zUeM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EeIXVN1zUeM.mp4/EeIXVN1zUeM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EeIXVN1zUeM.m3u8/EeIXVN1zUeM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EeIXVN1zUeM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1312099958", "sha": "6beb6c114c51579e6b3aa19484863d4d7f1c623a", "translated_description": "Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives\n\nExercise made by Stephanie Chang", "image_url": "https://img.youtube.com/vi/EeIXVN1zUeM/hqdefault.jpg", "youtube_id": "EeIXVN1zUeM", "content_kind": "Video", "readable_id": "visualizing-derivatives-exercise"}], "twitter_url": "", "translated_description": "You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x. This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.\n\nWe think you'll find this tutorial incredibly fun and satisfying (seriously).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x. This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.\n\nWe think you'll find this tutorial incredibly fun and satisfying (seriously).", "x_pos": 0.0, "node_slug": "visualizing-derivatives-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-22T16:13:33Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax830b81ea", "topic_page_url": "/math/calculus/differential-calculus/visualizing-derivatives-tutorial", "extended_slug": "math/calculus/differential-calculus/visualizing-derivatives-tutorial", "slug": "visualizing-derivatives-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2fd46bf3a67d856a629261aadd4c9ab95f3ef7b8", "standalone_title": "Visualizing derivatives and antiderivatives", "y_pos": 0.0, "current_revision_key": "2fd46bf3a67d856a629261aadd4c9ab95f3ef7b8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/power_rule_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/power_rule_tutorial", "translated_standalone_title": "Power rule", "translated_title": "Power rule", "gplus_url": "", "id": "x8e56468a", "old_key_name": "ZccGqO4cOwGnPNKEyD-UGBJOplpPMV0RdpWN-t7W", "hide": false, "title": "Power rule", "child_data": [{"kind": "Video", "id": 1280002940}, {"kind": "Video", "id": 1280226135}, {"kind": "Video", "id": 1280224216}, {"kind": "Exercise", "id": 4745921}, {"kind": "Video", "id": 24124}, {"kind": "Video", "id": 24126}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24110}], "children": [{"translated_youtube_id": "bRZmfc1YFsQ", "relative_url": "/video/power-rule", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/power-rule", "duration": 234, "translated_title": "Power rule", "translated_description_html": "", "id": "1280002940", "description_html": "", "title": "Power rule", "progress_key": "v1280002940", "edit_slug": "edit/v/1280002940", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/power-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-10T01:07:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bRZmfc1YFsQ.mp4/bRZmfc1YFsQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bRZmfc1YFsQ.mp4/bRZmfc1YFsQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bRZmfc1YFsQ.m3u8/bRZmfc1YFsQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bRZmfc1YFsQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1280002940", "sha": "4cbd686908fabdcbba455e2c4664ea7d007447d4", "translated_description": "", "image_url": "https://img.youtube.com/vi/bRZmfc1YFsQ/hqdefault.jpg", "youtube_id": "bRZmfc1YFsQ", "content_kind": "Video", "readable_id": "power-rule"}, {"translated_youtube_id": "BYTfCnR9Sl0", "relative_url": "/video/is-the-power-rule-reasonable", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/is-the-power-rule-reasonable", "duration": 402, "translated_title": "Is the power rule reasonable", "translated_description_html": "", "id": "1280226135", "description_html": "", "title": "Is the power rule reasonable", "progress_key": "v1280226135", "edit_slug": "edit/v/1280226135", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/is-the-power-rule-reasonable", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-10T01:08:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BYTfCnR9Sl0.mp4/BYTfCnR9Sl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BYTfCnR9Sl0.mp4/BYTfCnR9Sl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BYTfCnR9Sl0.m3u8/BYTfCnR9Sl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BYTfCnR9Sl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1280226135", "sha": "31c411006b0651ac0f9aa863386a37e32bc3a84b", "translated_description": "", "image_url": "https://img.youtube.com/vi/BYTfCnR9Sl0/hqdefault.jpg", "youtube_id": "BYTfCnR9Sl0", "content_kind": "Video", "readable_id": "is-the-power-rule-reasonable"}, {"translated_youtube_id": "mzOBlH32qdk", "relative_url": "/video/derivative-properties-and-polynomial-derivatives", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/derivative-properties-and-polynomial-derivatives", "duration": 593, "translated_title": "Derivative properties and polynomial derivatives", "translated_description_html": "", "id": "1280224216", "description_html": "", "title": "Derivative properties and polynomial derivatives", "progress_key": "v1280224216", "edit_slug": "edit/v/1280224216", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/derivative-properties-and-polynomial-derivatives", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-10T01:08:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mzOBlH32qdk.mp4/mzOBlH32qdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mzOBlH32qdk.mp4/mzOBlH32qdk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mzOBlH32qdk.m3u8/mzOBlH32qdk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mzOBlH32qdk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1280224216", "sha": "ad3d5c347e025741e7acbdbec931893660a923fe", "translated_description": "", "image_url": "https://img.youtube.com/vi/mzOBlH32qdk/hqdefault.jpg", "youtube_id": "mzOBlH32qdk", "content_kind": "Video", "readable_id": "derivative-properties-and-polynomial-derivatives"}, {"translated_youtube_id": "dZnc3PtNaN4", "relative_url": "/video/proof--d-dx-x-n", "has_questions": false, "keywords": "calculus, proof, derivative, x^n, CC_39336_A-APR_5", "ka_url": "http://www.khanacademy.org/video/proof--d-dx-x-n", "duration": 423, "translated_title": "Proof: d/dx(x^n)", "translated_description_html": "Proof that d/dx(x^n) = n*x^(n-1)", "id": "24124", "description_html": "Proof that d/dx(x^n) = n*x^(n-1)", "title": "Proof: d/dx(x^n)", "progress_key": "v24124", "edit_slug": "edit/v/24124", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof that d/dx(x^n) = n*x^(n-1)", "extra_properties": null, "node_slug": "v/proof--d-dx-x-n", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dZnc3PtNaN4.mp4/dZnc3PtNaN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dZnc3PtNaN4.mp4/dZnc3PtNaN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dZnc3PtNaN4.m3u8/dZnc3PtNaN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dZnc3PtNaN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24124", "sha": "3b725951364448a2abb20e372ca8a0d23bc91400", "translated_description": "Proof that d/dx(x^n) = n*x^(n-1)", "image_url": "https://img.youtube.com/vi/dZnc3PtNaN4/hqdefault.jpg", "youtube_id": "dZnc3PtNaN4", "content_kind": "Video", "readable_id": "proof--d-dx-x-n"}, {"translated_youtube_id": "789aMeepbxI", "relative_url": "/video/proof--d-dx-sqrt-x", "has_questions": false, "keywords": "Calculus, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/proof--d-dx-sqrt-x", "duration": 307, "translated_title": "Proof: d/dx(sqrt(x))", "translated_description_html": "Proof that d/dx (x^.5) = .5x^(-.5)", "id": "24126", "description_html": "Proof that d/dx (x^.5) = .5x^(-.5)", "title": "Proof: d/dx(sqrt(x))", "progress_key": "v24126", "edit_slug": "edit/v/24126", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof that d/dx (x^.5) = .5x^(-.5)", "extra_properties": null, "node_slug": "v/proof--d-dx-sqrt-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/789aMeepbxI.mp4/789aMeepbxI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/789aMeepbxI.mp4/789aMeepbxI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/789aMeepbxI.m3u8/789aMeepbxI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=789aMeepbxI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24126", "sha": "97e002e144880c48877b0e7fbef339072fe6fd0e", "translated_description": "Proof that d/dx (x^.5) = .5x^(-.5)", "image_url": "https://img.youtube.com/vi/789aMeepbxI/hqdefault.jpg", "youtube_id": "789aMeepbxI", "content_kind": "Video", "readable_id": "proof--d-dx-sqrt-x"}, {"translated_youtube_id": "z1lwai-lIzY", "relative_url": "/video/calculus--derivatives-3", "has_questions": false, "keywords": "derivative, calculus, math, khan, academy", "ka_url": "http://www.khanacademy.org/video/calculus--derivatives-3", "duration": 590, "translated_title": "Power rule introduction", "translated_description_html": "Determining the derivatives of simple polynomials.", "id": "24110", "description_html": "Determining the derivatives of simple polynomials.", "title": "Power rule introduction", "progress_key": "v24110", "edit_slug": "edit/v/24110", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the derivatives of simple polynomials.", "extra_properties": null, "node_slug": "v/calculus--derivatives-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1lwai-lIzY.mp4/z1lwai-lIzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1lwai-lIzY.mp4/z1lwai-lIzY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z1lwai-lIzY.m3u8/z1lwai-lIzY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z1lwai-lIzY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24110", "sha": "e27cace08a302e174eb7defe6e7d8d82944450b0", "translated_description": "Determining the derivatives of simple polynomials.", "image_url": "https://img.youtube.com/vi/z1lwai-lIzY/hqdefault.jpg", "youtube_id": "z1lwai-lIzY", "content_kind": "Video", "readable_id": "calculus--derivatives-3"}], "twitter_url": "", "translated_description": "Calculus is about to seem strangely straight forward. You've spent some time using the definition of a derivative to find the slope at a point. In this tutorial, we'll derive and apply the derivative for any term in a polynomial.\n\nBy the end of this tutorial, you'll have the power to take the derivative of any polynomial like it's second nature!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Calculus is about to seem strangely straight forward. You've spent some time using the definition of a derivative to find the slope at a point. In this tutorial, we'll derive and apply the derivative for any term in a polynomial.\n\nBy the end of this tutorial, you'll have the power to take the derivative of any polynomial like it's second nature!", "x_pos": 0.0, "node_slug": "power_rule_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8e56468a", "topic_page_url": "/math/calculus/differential-calculus/power_rule_tutorial", "extended_slug": "math/calculus/differential-calculus/power_rule_tutorial", "slug": "power_rule_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a94dd1ebef7bbf04d7bbfed86e0e6bfcc7d907d1", "standalone_title": "Power rule", "y_pos": 0.0, "current_revision_key": "a94dd1ebef7bbf04d7bbfed86e0e6bfcc7d907d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/chain_rule", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/chain_rule", "translated_standalone_title": "Chain rule", "translated_title": "Chain rule", "gplus_url": "", "id": "xbc84f7d2", "old_key_name": "VEHS2SWBKVNXmHijK3lrze6Pfc3PomfIQiSMX0CK", "hide": false, "title": "Chain rule", "child_data": [{"kind": "Video", "id": 1326857818}, {"kind": "Exercise", "id": 4732916}, {"kind": "Video", "id": 1332165556}, {"kind": "Video", "id": 1331367901}, {"kind": "Video", "id": 1332001812}, {"kind": "Video", "id": 1335652068}, {"kind": "Video", "id": 1335611225}, {"kind": "Video", "id": "xa3f6ecdf"}, {"kind": "Video", "id": "x8602b348"}, {"kind": "Exercise", "id": 4736894}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24136}, {"kind": "Video", "id": 24112}, {"kind": "Video", "id": 24114}, {"kind": "Video", "id": 24116}, {"kind": "Video", "id": 24122}], "children": [{"translated_youtube_id": "TDHI-aieyfk", "relative_url": "/video/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "duration": 224, "translated_title": "Derivatives of sin x, cos x, tan x, e^x and ln x", "translated_description_html": "", "id": "1326857818", "description_html": "", "title": "Derivatives of sin x, cos x, tan x, e^x and ln x", "progress_key": "v1326857818", "edit_slug": "edit/v/1326857818", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-29T16:34:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.mp4/TDHI-aieyfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.mp4/TDHI-aieyfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.m3u8/TDHI-aieyfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TDHI-aieyfk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1326857818", "sha": "6948c7d4dd40e5310f31c51362f74b711e716035", "translated_description": "", "image_url": "https://img.youtube.com/vi/TDHI-aieyfk/hqdefault.jpg", "youtube_id": "TDHI-aieyfk", "content_kind": "Video", "readable_id": "derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x"}, {"translated_youtube_id": "MKWBx78L7Qg", "relative_url": "/video/chain-rule-introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-introduction", "duration": 307, "translated_title": "Chain rule introduction", "translated_description_html": "", "id": "1332165556", "description_html": "", "title": "Chain rule introduction", "progress_key": "v1332165556", "edit_slug": "edit/v/1332165556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/chain-rule-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-29T16:36:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MKWBx78L7Qg.mp4/MKWBx78L7Qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MKWBx78L7Qg.mp4/MKWBx78L7Qg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MKWBx78L7Qg.m3u8/MKWBx78L7Qg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MKWBx78L7Qg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1332165556", "sha": "3fce522d4001114d4dd0b8cd5534893955fbf642", "translated_description": "", "image_url": "https://img.youtube.com/vi/MKWBx78L7Qg/hqdefault.jpg", "youtube_id": "MKWBx78L7Qg", "content_kind": "Video", "readable_id": "chain-rule-introduction"}, {"translated_youtube_id": "IiBC4ngwH6E", "relative_url": "/video/chain-rule-definition-and-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-definition-and-example", "duration": 331, "translated_title": "Chain rule definition and example", "translated_description_html": "", "id": "1331367901", "description_html": "", "title": "Chain rule definition and example", "progress_key": "v1331367901", "edit_slug": "edit/v/1331367901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/chain-rule-definition-and-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-29T16:38:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IiBC4ngwH6E.mp4/IiBC4ngwH6E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IiBC4ngwH6E.mp4/IiBC4ngwH6E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IiBC4ngwH6E.m3u8/IiBC4ngwH6E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IiBC4ngwH6E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1331367901", "sha": "0f1fec3afed79dff7871afaa467b0a6b90de5467", "translated_description": "", "image_url": "https://img.youtube.com/vi/IiBC4ngwH6E/hqdefault.jpg", "youtube_id": "IiBC4ngwH6E", "content_kind": "Video", "readable_id": "chain-rule-definition-and-example"}, {"translated_youtube_id": "1015d63VKh4", "relative_url": "/video/chain-rule-with-triple-composition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-with-triple-composition", "duration": 292, "translated_title": "Chain rule with triple composition", "translated_description_html": "", "id": "1332001812", "description_html": "", "title": "Chain rule with triple composition", "progress_key": "v1332001812", "edit_slug": "edit/v/1332001812", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/chain-rule-with-triple-composition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-29T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1015d63VKh4.mp4/1015d63VKh4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1015d63VKh4.mp4/1015d63VKh4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1015d63VKh4.m3u8/1015d63VKh4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1015d63VKh4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1332001812", "sha": "dc5c65aa1238425d978ba2c1d398124c4ee03c3f", "translated_description": "", "image_url": "https://img.youtube.com/vi/1015d63VKh4/hqdefault.jpg", "youtube_id": "1015d63VKh4", "content_kind": "Video", "readable_id": "chain-rule-with-triple-composition"}, {"translated_youtube_id": "Mci8Cuik_Gw", "relative_url": "/video/chain-rule-for-derivative-of-2-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-for-derivative-of-2-x", "duration": 288, "translated_title": "Chain rule for derivative of 2^x", "translated_description_html": "", "id": "1335652068", "description_html": "", "title": "Chain rule for derivative of 2^x", "progress_key": "v1335652068", "edit_slug": "edit/v/1335652068", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/chain-rule-for-derivative-of-2-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-30T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mci8Cuik_Gw.mp4/Mci8Cuik_Gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mci8Cuik_Gw.mp4/Mci8Cuik_Gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mci8Cuik_Gw.m3u8/Mci8Cuik_Gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mci8Cuik_Gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335652068", "sha": "35dc580a26f1e76cee37490a03fa208d8eeb5b1e", "translated_description": "", "image_url": "https://img.youtube.com/vi/Mci8Cuik_Gw/hqdefault.jpg", "youtube_id": "Mci8Cuik_Gw", "content_kind": "Video", "readable_id": "chain-rule-for-derivative-of-2-x"}, {"translated_youtube_id": "ssz6TElXEOM", "relative_url": "/video/derivative-of-log-with-arbitrary-base", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/derivative-of-log-with-arbitrary-base", "duration": 167, "translated_title": "Derivative of log with arbitrary base", "translated_description_html": "", "id": "1335611225", "description_html": "", "title": "Derivative of log with arbitrary base", "progress_key": "v1335611225", "edit_slug": "edit/v/1335611225", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/derivative-of-log-with-arbitrary-base", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T16:35:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ssz6TElXEOM.mp4/ssz6TElXEOM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ssz6TElXEOM.mp4/ssz6TElXEOM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ssz6TElXEOM.m3u8/ssz6TElXEOM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ssz6TElXEOM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335611225", "sha": "b1a6ce130c931ce8fca2d53e844044f18e2799e2", "translated_description": "", "image_url": "https://img.youtube.com/vi/ssz6TElXEOM/hqdefault.jpg", "youtube_id": "ssz6TElXEOM", "content_kind": "Video", "readable_id": "derivative-of-log-with-arbitrary-base"}, {"translated_youtube_id": "Zr72qWNMk7E", "relative_url": "/video/chain-rule-on-two-functions-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-on-two-functions-example-1", "duration": 325, "translated_title": "Chain rule example using visual function definitions", "translated_description_html": "", "id": "xa3f6ecdf", "description_html": "", "title": "Chain rule example using visual function definitions", "progress_key": "vxa3f6ecdf", "edit_slug": "edit/v/xa3f6ecdf", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/chain-rule-on-two-functions-example-1", "deleted": false, "backup_timestamp": "2013-11-05T18:31:33Z", "date_added": "2013-11-05T18:31:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zr72qWNMk7E.mp4/Zr72qWNMk7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zr72qWNMk7E.mp4/Zr72qWNMk7E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zr72qWNMk7E.m3u8/Zr72qWNMk7E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zr72qWNMk7E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa3f6ecdf", "sha": "81e8913810bf5b90e1aacfde82c2bf0caeea9fe5", "translated_description": "", "image_url": "https://img.youtube.com/vi/Zr72qWNMk7E/hqdefault.jpg", "youtube_id": "Zr72qWNMk7E", "content_kind": "Video", "readable_id": "chain-rule-on-two-functions-example-1"}, {"translated_youtube_id": "eJxSDYO82c4", "relative_url": "/video/chain-rule-on-two-functions-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chain-rule-on-two-functions-example-2", "duration": 236, "translated_title": "Chain rule example using visual information", "translated_description_html": "", "id": "x8602b348", "description_html": "", "title": "Chain rule example using visual information", "progress_key": "vx8602b348", "edit_slug": "edit/v/x8602b348", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/chain-rule-on-two-functions-example-2", "deleted": false, "backup_timestamp": "2013-11-05T18:31:33Z", "date_added": "2013-11-05T18:31:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eJxSDYO82c4.mp4/eJxSDYO82c4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eJxSDYO82c4.mp4/eJxSDYO82c4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eJxSDYO82c4.m3u8/eJxSDYO82c4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eJxSDYO82c4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8602b348", "sha": "339c551d2b42f6170e0377265a29d67d1453666d", "translated_description": "", "image_url": "https://img.youtube.com/vi/eJxSDYO82c4/hqdefault.jpg", "youtube_id": "eJxSDYO82c4", "content_kind": "Video", "readable_id": "chain-rule-on-two-functions-example-2"}, {"translated_youtube_id": "viaPc8zDcRI", "relative_url": "/video/extreme-derivative-word-problem--advanced", "has_questions": false, "keywords": "calculus, derivative, wprd, problem, CC_39336_A-REI_4", "ka_url": "http://www.khanacademy.org/video/extreme-derivative-word-problem--advanced", "duration": 1393, "translated_title": "Extreme derivative word problem (advanced)", "translated_description_html": "A difficult but interesting derivative word problem", "id": "24136", "description_html": "A difficult but interesting derivative word problem", "title": "Extreme derivative word problem (advanced)", "progress_key": "v24136", "edit_slug": "edit/v/24136", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A difficult but interesting derivative word problem", "extra_properties": null, "node_slug": "v/extreme-derivative-word-problem--advanced", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/viaPc8zDcRI.mp4/viaPc8zDcRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/viaPc8zDcRI.mp4/viaPc8zDcRI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/viaPc8zDcRI.m3u8/viaPc8zDcRI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=viaPc8zDcRI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24136", "sha": "d789a04eed47196ae34bfab52da3172f7dbfc03d", "translated_description": "A difficult but interesting derivative word problem", "image_url": "https://img.youtube.com/vi/viaPc8zDcRI/hqdefault.jpg", "youtube_id": "viaPc8zDcRI", "content_kind": "Video", "readable_id": "extreme-derivative-word-problem--advanced"}, {"translated_youtube_id": "XIQ-KnsAsbg", "relative_url": "/video/the-chain-rule", "has_questions": false, "keywords": "calculus, derivative, chain, rule, khan, academy", "ka_url": "http://www.khanacademy.org/video/the-chain-rule", "duration": 551, "translated_title": "The chain rule", "translated_description_html": "Part 4 of derivatives. Introduction to the chain rule.", "id": "24112", "description_html": "Part 4 of derivatives. Introduction to the chain rule.", "title": "The chain rule", "progress_key": "v24112", "edit_slug": "edit/v/24112", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 4 of derivatives. Introduction to the chain rule.", "extra_properties": null, "node_slug": "v/the-chain-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XIQ-KnsAsbg.mp4/XIQ-KnsAsbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XIQ-KnsAsbg.mp4/XIQ-KnsAsbg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XIQ-KnsAsbg.m3u8/XIQ-KnsAsbg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XIQ-KnsAsbg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24112", "sha": "7751a85ab6a5fe933a164333ccc602e3ef83f632", "translated_description": "Part 4 of derivatives. Introduction to the chain rule.", "image_url": "https://img.youtube.com/vi/XIQ-KnsAsbg/hqdefault.jpg", "youtube_id": "XIQ-KnsAsbg", "content_kind": "Video", "readable_id": "the-chain-rule"}, {"translated_youtube_id": "6_lmiPDedsY", "relative_url": "/video/chain-rule-examples", "has_questions": false, "keywords": "calculus, derivative, chain, rule, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2", "ka_url": "http://www.khanacademy.org/video/chain-rule-examples", "duration": 563, "translated_title": "Chain rule examples", "translated_description_html": "Examples using the Chain Rule", "id": "24114", "description_html": "Examples using the Chain Rule", "title": "Chain rule examples", "progress_key": "v24114", "edit_slug": "edit/v/24114", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Examples using the Chain Rule", "extra_properties": null, "node_slug": "v/chain-rule-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6_lmiPDedsY.mp4/6_lmiPDedsY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6_lmiPDedsY.mp4/6_lmiPDedsY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6_lmiPDedsY.m3u8/6_lmiPDedsY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6_lmiPDedsY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24114", "sha": "10f47fc517ceb2f53f0630852080289933ec76a6", "translated_description": "Examples using the Chain Rule", "image_url": "https://img.youtube.com/vi/6_lmiPDedsY/hqdefault.jpg", "youtube_id": "6_lmiPDedsY", "content_kind": "Video", "readable_id": "chain-rule-examples"}, {"translated_youtube_id": "DYb-AN-lK94", "relative_url": "/video/even-more-chain-rule", "has_questions": false, "keywords": "Calculus, derivatives, chain, rule, khan, academy", "ka_url": "http://www.khanacademy.org/video/even-more-chain-rule", "duration": 589, "translated_title": "Even more chain rule", "translated_description_html": "Even more examples using the chain rule.", "id": "24116", "description_html": "Even more examples using the chain rule.", "title": "Even more chain rule", "progress_key": "v24116", "edit_slug": "edit/v/24116", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Even more examples using the chain rule.", "extra_properties": null, "node_slug": "v/even-more-chain-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DYb-AN-lK94.mp4/DYb-AN-lK94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DYb-AN-lK94.mp4/DYb-AN-lK94.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DYb-AN-lK94.m3u8/DYb-AN-lK94.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DYb-AN-lK94&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24116", "sha": "b7b4390311a2bc78132df43a7a05ac8348a6a7f4", "translated_description": "Even more examples using the chain rule.", "image_url": "https://img.youtube.com/vi/DYb-AN-lK94/hqdefault.jpg", "youtube_id": "DYb-AN-lK94", "content_kind": "Video", "readable_id": "even-more-chain-rule"}, {"translated_youtube_id": "aEP4C_kvcO4", "relative_url": "/video/derivatives--part-9", "has_questions": false, "keywords": "derivative, calculus, khan, academy", "ka_url": "http://www.khanacademy.org/video/derivatives--part-9", "duration": 595, "translated_title": "More examples using multiple rules", "translated_description_html": "More examples of taking derivatives", "id": "24122", "description_html": "More examples of taking derivatives", "title": "More examples using multiple rules", "progress_key": "v24122", "edit_slug": "edit/v/24122", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples of taking derivatives", "extra_properties": null, "node_slug": "v/derivatives--part-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aEP4C_kvcO4.mp4/aEP4C_kvcO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aEP4C_kvcO4.mp4/aEP4C_kvcO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aEP4C_kvcO4.m3u8/aEP4C_kvcO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aEP4C_kvcO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24122", "sha": "f6ef5e65b6d80b3b8329b33695fde626a4c28a0b", "translated_description": "More examples of taking derivatives", "image_url": "https://img.youtube.com/vi/aEP4C_kvcO4/hqdefault.jpg", "youtube_id": "aEP4C_kvcO4", "content_kind": "Video", "readable_id": "derivatives--part-9"}], "twitter_url": "", "translated_description": "You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.", "x_pos": 0.0, "node_slug": "chain_rule", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbc84f7d2", "topic_page_url": "/math/calculus/differential-calculus/chain_rule", "extended_slug": "math/calculus/differential-calculus/chain_rule", "slug": "chain_rule", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f26e374f7967a4196cfd2ddfe5e10551387b6e33", "standalone_title": "Chain rule", "y_pos": 0.0, "current_revision_key": "f26e374f7967a4196cfd2ddfe5e10551387b6e33", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/product_rule", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/product_rule", "translated_standalone_title": "Product and quotient rules", "translated_title": "Product and quotient rules", "gplus_url": "", "id": "xb76e02b5", "old_key_name": "XF4ZWuTToN3zyBmiq5vmhCZwfHKZ_yhfHgqQZqOP", "hide": false, "title": "Product and quotient rules", "child_data": [{"kind": "Video", "id": 1326857818}, {"kind": "Exercise", "id": 4732916}, {"kind": "Video", "id": 1332054864}, {"kind": "Video", "id": 1335339467}, {"kind": "Exercise", "id": 4997089}, {"kind": "Video", "id": 1332076874}, {"kind": "Video", "id": 1332211179}, {"kind": "Exercise", "id": 47867526}, {"kind": "Video", "id": 1334798762}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24118}, {"kind": "Video", "id": 24120}, {"kind": "Video", "id": 24172}], "children": [{"translated_youtube_id": "TDHI-aieyfk", "relative_url": "/video/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "duration": 224, "translated_title": "Derivatives of sin x, cos x, tan x, e^x and ln x", "translated_description_html": "", "id": "1326857818", "description_html": "", "title": "Derivatives of sin x, cos x, tan x, e^x and ln x", "progress_key": "v1326857818", "edit_slug": "edit/v/1326857818", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-29T16:34:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.mp4/TDHI-aieyfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.mp4/TDHI-aieyfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TDHI-aieyfk.m3u8/TDHI-aieyfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TDHI-aieyfk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1326857818", "sha": "6948c7d4dd40e5310f31c51362f74b711e716035", "translated_description": "", "image_url": "https://img.youtube.com/vi/TDHI-aieyfk/hqdefault.jpg", "youtube_id": "TDHI-aieyfk", "content_kind": "Video", "readable_id": "derivatives-of-sin-x--cos-x--tan-x--e-x-and-ln-x"}, {"translated_youtube_id": "79ngr0Bur38", "relative_url": "/video/applying-the-product-rule-for-derivatives", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/applying-the-product-rule-for-derivatives", "duration": 160, "translated_title": "Applying the product rule for derivatives", "translated_description_html": "", "id": "1332054864", "description_html": "", "title": "Applying the product rule for derivatives", "progress_key": "v1332054864", "edit_slug": "edit/v/1332054864", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/applying-the-product-rule-for-derivatives", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-29T16:40:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/79ngr0Bur38.mp4/79ngr0Bur38.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/79ngr0Bur38.mp4/79ngr0Bur38.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/79ngr0Bur38.m3u8/79ngr0Bur38.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=79ngr0Bur38&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1332054864", "sha": "d271813a699f8288b1a5627b17a7bc6b5cf0510d", "translated_description": "", "image_url": "https://img.youtube.com/vi/79ngr0Bur38/hqdefault.jpg", "youtube_id": "79ngr0Bur38", "content_kind": "Video", "readable_id": "applying-the-product-rule-for-derivatives"}, {"translated_youtube_id": "Bkkk0RLSEy8", "relative_url": "/video/product-rule-for-more-than-two-functions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/product-rule-for-more-than-two-functions", "duration": 214, "translated_title": "Product rule for more than two functions", "translated_description_html": "", "id": "1335339467", "description_html": "", "title": "Product rule for more than two functions", "progress_key": "v1335339467", "edit_slug": "edit/v/1335339467", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/product-rule-for-more-than-two-functions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2013-01-30T16:37:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bkkk0RLSEy8.mp4/Bkkk0RLSEy8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bkkk0RLSEy8.mp4/Bkkk0RLSEy8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bkkk0RLSEy8.m3u8/Bkkk0RLSEy8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bkkk0RLSEy8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335339467", "sha": "4f37788cae5ba1ef86554e81c7d487e82b84053d", "translated_description": "", "image_url": "https://img.youtube.com/vi/Bkkk0RLSEy8/hqdefault.jpg", "youtube_id": "Bkkk0RLSEy8", "content_kind": "Video", "readable_id": "product-rule-for-more-than-two-functions"}, {"translated_youtube_id": "ho87DN9wO70", "relative_url": "/video/quotient-rule-from-product-rule", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quotient-rule-from-product-rule", "duration": 315, "translated_title": "Quotient rule from product rule", "translated_description_html": "", "id": "1332076874", "description_html": "", "title": "Quotient rule from product rule", "progress_key": "v1332076874", "edit_slug": "edit/v/1332076874", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/quotient-rule-from-product-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-29T16:33:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ho87DN9wO70.mp4/ho87DN9wO70.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ho87DN9wO70.mp4/ho87DN9wO70.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ho87DN9wO70.m3u8/ho87DN9wO70.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ho87DN9wO70&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1332076874", "sha": "7a3b5fc695b5e6da3357a605b13419bec76227f4", "translated_description": "", "image_url": "https://img.youtube.com/vi/ho87DN9wO70/hqdefault.jpg", "youtube_id": "ho87DN9wO70", "content_kind": "Video", "readable_id": "quotient-rule-from-product-rule"}, {"translated_youtube_id": "eJUGoAtF-7A", "relative_url": "/video/quotient-rule-for-derivative-of-tan-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quotient-rule-for-derivative-of-tan-x", "duration": 222, "translated_title": "Quotient rule for derivative of tan x", "translated_description_html": "", "id": "1332211179", "description_html": "", "title": "Quotient rule for derivative of tan x", "progress_key": "v1332211179", "edit_slug": "edit/v/1332211179", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/quotient-rule-for-derivative-of-tan-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-29T16:33:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eJUGoAtF-7A.mp4/eJUGoAtF-7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eJUGoAtF-7A.mp4/eJUGoAtF-7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eJUGoAtF-7A.m3u8/eJUGoAtF-7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eJUGoAtF-7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1332211179", "sha": "33a67cfcd840b1d30289388214ef1dd5792ff4c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/eJUGoAtF-7A/hqdefault.jpg", "youtube_id": "eJUGoAtF-7A", "content_kind": "Video", "readable_id": "quotient-rule-for-derivative-of-tan-x"}, {"translated_youtube_id": "UXQGzgPf1LE", "relative_url": "/video/using-the-product-rule-and-the-chain-rule", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/using-the-product-rule-and-the-chain-rule", "duration": 352, "translated_title": "Using the product rule and the chain rule", "translated_description_html": "", "id": "1334798762", "description_html": "", "title": "Using the product rule and the chain rule", "progress_key": "v1334798762", "edit_slug": "edit/v/1334798762", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/using-the-product-rule-and-the-chain-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T16:37:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UXQGzgPf1LE.mp4/UXQGzgPf1LE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UXQGzgPf1LE.mp4/UXQGzgPf1LE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UXQGzgPf1LE.m3u8/UXQGzgPf1LE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UXQGzgPf1LE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1334798762", "sha": "f05676c42d049edaedae25299f0c75dec9c518f1", "translated_description": "", "image_url": "https://img.youtube.com/vi/UXQGzgPf1LE/hqdefault.jpg", "youtube_id": "UXQGzgPf1LE", "content_kind": "Video", "readable_id": "using-the-product-rule-and-the-chain-rule"}, {"translated_youtube_id": "h78GdGiRmpM", "relative_url": "/video/product-rule", "has_questions": false, "keywords": "calculus, derivative, product, chain, rule, khan, academy", "ka_url": "http://www.khanacademy.org/video/product-rule", "duration": 528, "translated_title": "Product rule", "translated_description_html": "The product rule. Examples using the Product and Chain rules.", "id": "24118", "description_html": "The product rule. Examples using the Product and Chain rules.", "title": "Product rule", "progress_key": "v24118", "edit_slug": "edit/v/24118", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The product rule. Examples using the Product and Chain rules.", "extra_properties": null, "node_slug": "v/product-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h78GdGiRmpM.mp4/h78GdGiRmpM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h78GdGiRmpM.mp4/h78GdGiRmpM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h78GdGiRmpM.m3u8/h78GdGiRmpM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h78GdGiRmpM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24118", "sha": "3fc75c6634e41db4dcf102392115d57682d20f2b", "translated_description": "The product rule. Examples using the Product and Chain rules.", "image_url": "https://img.youtube.com/vi/h78GdGiRmpM/hqdefault.jpg", "youtube_id": "h78GdGiRmpM", "content_kind": "Video", "readable_id": "product-rule"}, {"translated_youtube_id": "E_1gEtiGPNI", "relative_url": "/video/quotient-rule", "has_questions": false, "keywords": "derivatives, calculus, trigonometry, khan, academy", "ka_url": "http://www.khanacademy.org/video/quotient-rule", "duration": 571, "translated_title": "Quotient rule and common derivatives", "translated_description_html": "Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x", "id": "24120", "description_html": "Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x", "title": "Quotient rule and common derivatives", "progress_key": "v24120", "edit_slug": "edit/v/24120", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x", "extra_properties": null, "node_slug": "v/quotient-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_1gEtiGPNI.mp4/E_1gEtiGPNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_1gEtiGPNI.mp4/E_1gEtiGPNI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E_1gEtiGPNI.m3u8/E_1gEtiGPNI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E_1gEtiGPNI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24120", "sha": "f9fdf5a78816c05a95d5fb1b8302f1262ab85d10", "translated_description": "Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x", "image_url": "https://img.youtube.com/vi/E_1gEtiGPNI/hqdefault.jpg", "youtube_id": "E_1gEtiGPNI", "content_kind": "Video", "readable_id": "quotient-rule"}, {"translated_youtube_id": "1KwW1v__T_0", "relative_url": "/video/equation-of-a-tangent-line", "has_questions": false, "keywords": "calculus, tangent, line, equation", "ka_url": "http://www.khanacademy.org/video/equation-of-a-tangent-line", "duration": 487, "translated_title": "Equation of a tangent line", "translated_description_html": "Finding the equation of the line tangent to f(x)=xe^x when x=1", "id": "24172", "description_html": "Finding the equation of the line tangent to f(x)=xe^x when x=1", "title": "Equation of a tangent line", "progress_key": "v24172", "edit_slug": "edit/v/24172", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the equation of the line tangent to f(x)=xe^x when x=1", "extra_properties": null, "node_slug": "v/equation-of-a-tangent-line", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1KwW1v__T_0.mp4/1KwW1v__T_0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1KwW1v__T_0.mp4/1KwW1v__T_0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1KwW1v__T_0.m3u8/1KwW1v__T_0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1KwW1v__T_0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24172", "sha": "7c5898dbd535fb8287a8174b3a446a21e3a843f1", "translated_description": "Finding the equation of the line tangent to f(x)=xe^x when x=1", "image_url": "https://img.youtube.com/vi/1KwW1v__T_0/hqdefault.jpg", "youtube_id": "1KwW1v__T_0", "content_kind": "Video", "readable_id": "equation-of-a-tangent-line"}], "twitter_url": "", "translated_description": "You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the product rule is all about. \n\nThis tutorial is all about the product rule. It also covers the quotient rule (which really is just a special case of the product rule).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the product rule is all about. \n\nThis tutorial is all about the product rule. It also covers the quotient rule (which really is just a special case of the product rule).", "x_pos": 0.0, "node_slug": "product_rule", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb76e02b5", "topic_page_url": "/math/calculus/differential-calculus/product_rule", "extended_slug": "math/calculus/differential-calculus/product_rule", "slug": "product_rule", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b1b9153f7b0bb1d90165cc69de2fd10e572c3be5", "standalone_title": "Product and quotient rules", "y_pos": 0.0, "current_revision_key": "b1b9153f7b0bb1d90165cc69de2fd10e572c3be5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/implicit_differentiation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/implicit_differentiation", "translated_standalone_title": "Implicit differentiation", "translated_title": "Implicit differentiation", "gplus_url": "", "id": "xa74bc799", "old_key_name": "XHr5_BBdAdzLkh8HgnGV6cttm-vPlyqT92OXXGrQ", "hide": false, "title": "Implicit differentiation", "child_data": [{"kind": "Video", "id": 1335926801}, {"kind": "Video", "id": 1336144047}, {"kind": "Video", "id": 1309724635}, {"kind": "Video", "id": 1336092146}, {"kind": "Video", "id": 1335955875}, {"kind": "Video", "id": 1336152047}, {"kind": "Video", "id": 1335852020}, {"kind": "Video", "id": 24134}, {"kind": "Exercise", "id": "x4f86d9c1"}], "children": [{"translated_youtube_id": "mSVrqKZDRF4", "relative_url": "/video/implicit-differentiation-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implicit-differentiation-1", "duration": 482, "translated_title": "Implicit differentiation", "translated_description_html": "", "id": "1335926801", "description_html": "", "title": "Implicit differentiation", "progress_key": "v1335926801", "edit_slug": "edit/v/1335926801", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/implicit-differentiation-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mSVrqKZDRF4.mp4/mSVrqKZDRF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mSVrqKZDRF4.mp4/mSVrqKZDRF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mSVrqKZDRF4.m3u8/mSVrqKZDRF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mSVrqKZDRF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335926801", "sha": "e89d921a27733eb743ca10f629dbddd41b068180", "translated_description": "", "image_url": "https://img.youtube.com/vi/mSVrqKZDRF4/hqdefault.jpg", "youtube_id": "mSVrqKZDRF4", "content_kind": "Video", "readable_id": "implicit-differentiation-1"}, {"translated_youtube_id": "2CsQ_l1S2_Y", "relative_url": "/video/showing-explicit-and-implicit-differentiation-give-same-result", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/showing-explicit-and-implicit-differentiation-give-same-result", "duration": 468, "translated_title": "Showing explicit and implicit differentiation give same result", "translated_description_html": "", "id": "1336144047", "description_html": "", "title": "Showing explicit and implicit differentiation give same result", "progress_key": "v1336144047", "edit_slug": "edit/v/1336144047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/showing-explicit-and-implicit-differentiation-give-same-result", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:26:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2CsQ_l1S2_Y.mp4/2CsQ_l1S2_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2CsQ_l1S2_Y.mp4/2CsQ_l1S2_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2CsQ_l1S2_Y.m3u8/2CsQ_l1S2_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2CsQ_l1S2_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1336144047", "sha": "9a21e3376cffc4dc0ccf2ffd869c8fb0dbdbd3d4", "translated_description": "", "image_url": "https://img.youtube.com/vi/2CsQ_l1S2_Y/hqdefault.jpg", "youtube_id": "2CsQ_l1S2_Y", "content_kind": "Video", "readable_id": "showing-explicit-and-implicit-differentiation-give-same-result"}, {"translated_youtube_id": "9uxvm-USEYE", "relative_url": "/video/implicit-derivative-of--x-y--2---x---y---1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implicit-derivative-of--x-y--2---x---y---1", "duration": 296, "translated_title": "Implicit derivative of (x-y)^2 = x + y + 1", "translated_description_html": "", "id": "1309724635", "description_html": "", "title": "Implicit derivative of (x-y)^2 = x + y + 1", "progress_key": "v1309724635", "edit_slug": "edit/v/1309724635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/implicit-derivative-of--x-y--2---x---y---1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-30T19:27:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9uxvm-USEYE.mp4/9uxvm-USEYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9uxvm-USEYE.mp4/9uxvm-USEYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9uxvm-USEYE.m3u8/9uxvm-USEYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9uxvm-USEYE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1309724635", "sha": "8d26179e758a46a1adf655f18a7a2e2fe41fe7f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/9uxvm-USEYE/hqdefault.jpg", "youtube_id": "9uxvm-USEYE", "content_kind": "Video", "readable_id": "implicit-derivative-of--x-y--2---x---y---1"}, {"translated_youtube_id": "-EG10aI0rt0", "relative_url": "/video/implicit-derivative-of-y---cos-5x---3y", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implicit-derivative-of-y---cos-5x---3y", "duration": 248, "translated_title": "Implicit derivative of y = cos(5x - 3y)", "translated_description_html": "", "id": "1336092146", "description_html": "", "title": "Implicit derivative of y = cos(5x - 3y)", "progress_key": "v1336092146", "edit_slug": "edit/v/1336092146", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/implicit-derivative-of-y---cos-5x---3y", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-EG10aI0rt0.mp4/-EG10aI0rt0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-EG10aI0rt0.mp4/-EG10aI0rt0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-EG10aI0rt0.m3u8/-EG10aI0rt0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-EG10aI0rt0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1336092146", "sha": "4457b2884d04e016a54f317e6824e93c493cb940", "translated_description": "", "image_url": "https://img.youtube.com/vi/-EG10aI0rt0/hqdefault.jpg", "youtube_id": "-EG10aI0rt0", "content_kind": "Video", "readable_id": "implicit-derivative-of-y---cos-5x---3y"}, {"translated_youtube_id": "1DcsREjyoiM", "relative_url": "/video/implicit-derivative-of--x-2-y-2--3---5x-2y-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implicit-derivative-of--x-2-y-2--3---5x-2y-2", "duration": 430, "translated_title": "Implicit derivative of (x^2+y^2)^3 = 5x^2y^2", "translated_description_html": "", "id": "1335955875", "description_html": "", "title": "Implicit derivative of (x^2+y^2)^3 = 5x^2y^2", "progress_key": "v1335955875", "edit_slug": "edit/v/1335955875", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/implicit-derivative-of--x-2-y-2--3---5x-2y-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:28:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1DcsREjyoiM.mp4/1DcsREjyoiM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1DcsREjyoiM.mp4/1DcsREjyoiM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1DcsREjyoiM.m3u8/1DcsREjyoiM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1DcsREjyoiM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335955875", "sha": "54539759d2655e6f93572442e03d82a4ebeb9e8c", "translated_description": "", "image_url": "https://img.youtube.com/vi/1DcsREjyoiM/hqdefault.jpg", "youtube_id": "1DcsREjyoiM", "content_kind": "Video", "readable_id": "implicit-derivative-of--x-2-y-2--3---5x-2y-2"}, {"translated_youtube_id": "KyYC8XzKsHU", "relative_url": "/video/finding-slope-of-tangent-line-with-implicit-differentiation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/finding-slope-of-tangent-line-with-implicit-differentiation", "duration": 325, "translated_title": "Finding slope of tangent line with implicit differentiation", "translated_description_html": "", "id": "1336152047", "description_html": "", "title": "Finding slope of tangent line with implicit differentiation", "progress_key": "v1336152047", "edit_slug": "edit/v/1336152047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/finding-slope-of-tangent-line-with-implicit-differentiation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:29:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KyYC8XzKsHU.mp4/KyYC8XzKsHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KyYC8XzKsHU.mp4/KyYC8XzKsHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KyYC8XzKsHU.m3u8/KyYC8XzKsHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KyYC8XzKsHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1336152047", "sha": "c87edd697838cc8dd802c1cec92b5eedbef5f606", "translated_description": "", "image_url": "https://img.youtube.com/vi/KyYC8XzKsHU/hqdefault.jpg", "youtube_id": "KyYC8XzKsHU", "content_kind": "Video", "readable_id": "finding-slope-of-tangent-line-with-implicit-differentiation"}, {"translated_youtube_id": "ZtI94pI4Uzc", "relative_url": "/video/implicit-derivative-of-e--xy-2----x---y", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implicit-derivative-of-e--xy-2----x---y", "duration": 358, "translated_title": "Implicit derivative of e^(xy^2) = x - y", "translated_description_html": "", "id": "1335852020", "description_html": "", "title": "Implicit derivative of e^(xy^2) = x - y", "progress_key": "v1335852020", "edit_slug": "edit/v/1335852020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/implicit-derivative-of-e--xy-2----x---y", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-30T19:29:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZtI94pI4Uzc.mp4/ZtI94pI4Uzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZtI94pI4Uzc.mp4/ZtI94pI4Uzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZtI94pI4Uzc.m3u8/ZtI94pI4Uzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZtI94pI4Uzc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1335852020", "sha": "26c24b233c07d4c8e504ee8c6e4741672f8de874", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZtI94pI4Uzc/hqdefault.jpg", "youtube_id": "ZtI94pI4Uzc", "content_kind": "Video", "readable_id": "implicit-derivative-of-e--xy-2----x---y"}, {"translated_youtube_id": "N5kkwVoAtkc", "relative_url": "/video/calculus--derivative-of-x--x-x", "has_questions": false, "keywords": "calculus, derivative, implicit, differentiation", "ka_url": "http://www.khanacademy.org/video/calculus--derivative-of-x--x-x", "duration": 542, "translated_title": "Derivative of x^(x^x)", "translated_description_html": "Derivative of x^(x^x)", "id": "24134", "description_html": "Derivative of x^(x^x)", "title": "Derivative of x^(x^x)", "progress_key": "v24134", "edit_slug": "edit/v/24134", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Derivative of x^(x^x)", "extra_properties": null, "node_slug": "v/calculus--derivative-of-x--x-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N5kkwVoAtkc.mp4/N5kkwVoAtkc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N5kkwVoAtkc.mp4/N5kkwVoAtkc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N5kkwVoAtkc.m3u8/N5kkwVoAtkc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N5kkwVoAtkc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24134", "sha": "eb1eab2c402444c6ad9134096b764b9368fe076f", "translated_description": "Derivative of x^(x^x)", "image_url": "https://img.youtube.com/vi/N5kkwVoAtkc/hqdefault.jpg", "youtube_id": "N5kkwVoAtkc", "content_kind": "Video", "readable_id": "calculus--derivative-of-x--x-x"}], "twitter_url": "", "translated_description": "Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like \"x^2 + y^2 = 1\").", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like \"x^2 + y^2 = 1\").", "x_pos": 0.0, "node_slug": "implicit_differentiation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-26T00:01:04Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa74bc799", "topic_page_url": "/math/calculus/differential-calculus/implicit_differentiation", "extended_slug": "math/calculus/differential-calculus/implicit_differentiation", "slug": "implicit_differentiation", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4a7b33efebcce0fe7f989cf49ac2d9b6409aa9e1", "standalone_title": "Implicit differentiation", "y_pos": 0.0, "current_revision_key": "4a7b33efebcce0fe7f989cf49ac2d9b6409aa9e1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/differential-calculus/der_common_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/differential-calculus/der_common_functions", "translated_standalone_title": "Derivatives of common functions", "translated_title": "Proofs of derivatives of common functions", "gplus_url": "", "id": "x9468e656", "old_key_name": "hYoIcJxgzv_jjInJR3ejmdiNJCcW_maAtJtjOzmK", "hide": false, "title": "Proofs of derivatives of common functions", "child_data": [{"kind": "Video", "id": 24128}, {"kind": "Video", "id": 24130}, {"kind": "Video", "id": 24132}], "children": [{"translated_youtube_id": "yUpDRpkUhf4", "relative_url": "/video/proof--d-dx-ln-x----1-x", "has_questions": false, "keywords": "proof, derivative, ln, natural, log, calculus", "ka_url": "http://www.khanacademy.org/video/proof--d-dx-ln-x----1-x", "duration": 592, "translated_title": "Proof: d/dx(ln x) = 1/x", "translated_description_html": "Taking the derivative of ln x", "id": "24128", "description_html": "Taking the derivative of ln x", "title": "Proof: d/dx(ln x) = 1/x", "progress_key": "v24128", "edit_slug": "edit/v/24128", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking the derivative of ln x", "extra_properties": null, "node_slug": "v/proof--d-dx-ln-x----1-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUpDRpkUhf4.mp4/yUpDRpkUhf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUpDRpkUhf4.mp4/yUpDRpkUhf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUpDRpkUhf4.m3u8/yUpDRpkUhf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUpDRpkUhf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24128", "sha": "ab160012bb15b88b04141638519bba2140ba3747", "translated_description": "Taking the derivative of ln x", "image_url": "https://img.youtube.com/vi/yUpDRpkUhf4/hqdefault.jpg", "youtube_id": "yUpDRpkUhf4", "content_kind": "Video", "readable_id": "proof--d-dx-ln-x----1-x"}, {"translated_youtube_id": "sSE6_fK3mu0", "relative_url": "/video/proof--d-dx-e-x----e-x", "has_questions": false, "keywords": "proof, calculus, e^x, derivative, d/dx", "ka_url": "http://www.khanacademy.org/video/proof--d-dx-e-x----e-x", "duration": 280, "translated_title": "Proof: d/dx(e^x) = e^x", "translated_description_html": "Proof that the derivative of e^x is e^x.", "id": "24130", "description_html": "Proof that the derivative of e^x is e^x.", "title": "Proof: d/dx(e^x) = e^x", "progress_key": "v24130", "edit_slug": "edit/v/24130", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof that the derivative of e^x is e^x.", "extra_properties": null, "node_slug": "v/proof--d-dx-e-x----e-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sSE6_fK3mu0.mp4/sSE6_fK3mu0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sSE6_fK3mu0.mp4/sSE6_fK3mu0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sSE6_fK3mu0.m3u8/sSE6_fK3mu0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sSE6_fK3mu0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24130", "sha": "c04b828f19cf2da510caf1601e407b8d338d83f6", "translated_description": "Proof that the derivative of e^x is e^x.", "image_url": "https://img.youtube.com/vi/sSE6_fK3mu0/hqdefault.jpg", "youtube_id": "sSE6_fK3mu0", "content_kind": "Video", "readable_id": "proof--d-dx-e-x----e-x"}, {"translated_youtube_id": "3nQejB-XPoY", "relative_url": "/video/proofs-of-derivatives-of-ln-x--and-e-x", "has_questions": false, "keywords": "calculus, derivative, implicit, differentiation, ln", "ka_url": "http://www.khanacademy.org/video/proofs-of-derivatives-of-ln-x--and-e-x", "duration": 747, "translated_title": "Proofs of derivatives of ln(x) and e^x", "translated_description_html": "Doing both proofs in the same video to clarify any misconceptions that the original proof was \"circular\".", "id": "24132", "description_html": "Doing both proofs in the same video to clarify any misconceptions that the original proof was \"circular\".", "title": "Proofs of derivatives of ln(x) and e^x", "progress_key": "v24132", "edit_slug": "edit/v/24132", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Doing both proofs in the same video to clarify any misconceptions that the original proof was \"circular\".", "extra_properties": null, "node_slug": "v/proofs-of-derivatives-of-ln-x--and-e-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3nQejB-XPoY.mp4/3nQejB-XPoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3nQejB-XPoY.mp4/3nQejB-XPoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3nQejB-XPoY.m3u8/3nQejB-XPoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3nQejB-XPoY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24132", "sha": "0a13840e4228de26a410957e8f0c2efcdf20860f", "translated_description": "Doing both proofs in the same video to clarify any misconceptions that the original proof was \"circular\".", "image_url": "https://img.youtube.com/vi/3nQejB-XPoY/hqdefault.jpg", "youtube_id": "3nQejB-XPoY", "content_kind": "Video", "readable_id": "proofs-of-derivatives-of-ln-x--and-e-x"}], "twitter_url": "", "translated_description": "We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!", "x_pos": 0.0, "node_slug": "der_common_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9468e656", "topic_page_url": "/math/calculus/differential-calculus/der_common_functions", "extended_slug": "math/calculus/differential-calculus/der_common_functions", "slug": "der_common_functions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "941766225e8c6719d7c2b01e9e01a45837964814", "standalone_title": "Derivatives of common functions", "y_pos": 0.0, "current_revision_key": "941766225e8c6719d7c2b01e9e01a45837964814", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions.", "x_pos": -25.0, "node_slug": "differential-calculus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-13T18:59:59Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax02f26269", "topic_page_url": "/math/calculus/differential-calculus", "extended_slug": "math/calculus/differential-calculus", "slug": "differential-calculus", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "686dc57f32e8f96fc62017ed0cc51d451c342ed3", "standalone_title": "Taking derivatives", "y_pos": 58.0, "current_revision_key": "686dc57f32e8f96fc62017ed0cc51d451c342ed3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications", "translated_standalone_title": "Derivative applications", "translated_title": "Derivative applications", "gplus_url": "", "id": "xcc2c1257", "old_key_name": "wIMjpyXXDoFfRGrDW614_IZy3N3caYFm8NrTSCpJ", "hide": false, "title": "Derivative applications", "child_data": [{"kind": "Topic", "id": "x3bd2e7e0"}, {"kind": "Topic", "id": "x27a1754d"}, {"kind": "Topic", "id": "x2366d755"}, {"kind": "Topic", "id": "x192b8612"}, {"kind": "Topic", "id": "x0e9d2350"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications/critical_points_graphing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications/critical_points_graphing", "translated_standalone_title": "Critical points and graphing with calculus", "translated_title": "Minima, maxima, inflection points and critical points", "gplus_url": "", "id": "x3bd2e7e0", "old_key_name": "7tIuTl7BOCiWHlFL4lNiGDad_I0bppDLGCvvrB_S", "hide": false, "title": "Minima, maxima, inflection points and critical points", "child_data": [{"kind": "Video", "id": 1337154539}, {"kind": "Video", "id": 1337206217}, {"kind": "Video", "id": 1337114573}, {"kind": "Video", "id": 1337193144}, {"kind": "Video", "id": "x22647994"}, {"kind": "Exercise", "id": 1425254403}, {"kind": "Video", "id": 1336987809}, {"kind": "Video", "id": 355054}, {"kind": "Video", "id": 366056}, {"kind": "Exercise", "id": "x82766792"}], "children": [{"translated_youtube_id": "lDY9JcFaRd4", "relative_url": "/video/minima--maxima-and-critical-points", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/minima--maxima-and-critical-points", "duration": 473, "translated_title": "Minima, maxima and critical points", "translated_description_html": "", "id": "1337154539", "description_html": "", "title": "Minima, maxima and critical points", "progress_key": "v1337154539", "edit_slug": "edit/v/1337154539", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/minima--maxima-and-critical-points", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-31T01:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lDY9JcFaRd4.mp4/lDY9JcFaRd4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lDY9JcFaRd4.mp4/lDY9JcFaRd4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lDY9JcFaRd4.m3u8/lDY9JcFaRd4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lDY9JcFaRd4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337154539", "sha": "10f9957139e3daf879df6667af9b3acbd4bee233", "translated_description": "", "image_url": "https://img.youtube.com/vi/lDY9JcFaRd4/hqdefault.jpg", "youtube_id": "lDY9JcFaRd4", "content_kind": "Video", "readable_id": "minima--maxima-and-critical-points"}, {"translated_youtube_id": "lFQ4kMcODzU", "relative_url": "/video/testing-critical-points-for-local-extrema", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/testing-critical-points-for-local-extrema", "duration": 325, "translated_title": "Testing critical points for local extrema", "translated_description_html": "", "id": "1337206217", "description_html": "", "title": "Testing critical points for local extrema", "progress_key": "v1337206217", "edit_slug": "edit/v/1337206217", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/testing-critical-points-for-local-extrema", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T01:42:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lFQ4kMcODzU.mp4/lFQ4kMcODzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lFQ4kMcODzU.mp4/lFQ4kMcODzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lFQ4kMcODzU.m3u8/lFQ4kMcODzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lFQ4kMcODzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337206217", "sha": "501d139a256a6b1213be6fad9290182f285559e7", "translated_description": "", "image_url": "https://img.youtube.com/vi/lFQ4kMcODzU/hqdefault.jpg", "youtube_id": "lFQ4kMcODzU", "content_kind": "Video", "readable_id": "testing-critical-points-for-local-extrema"}, {"translated_youtube_id": "pInFesXIfg8", "relative_url": "/video/identifying-minima-and-maxima-for-x-3---12x---5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/identifying-minima-and-maxima-for-x-3---12x---5", "duration": 582, "translated_title": "Identifying minima and maxima for x^3 - 12x - 5", "translated_description_html": "", "id": "1337114573", "description_html": "", "title": "Identifying minima and maxima for x^3 - 12x - 5", "progress_key": "v1337114573", "edit_slug": "edit/v/1337114573", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/identifying-minima-and-maxima-for-x-3---12x---5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-31T01:42:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pInFesXIfg8.mp4/pInFesXIfg8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pInFesXIfg8.mp4/pInFesXIfg8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pInFesXIfg8.m3u8/pInFesXIfg8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pInFesXIfg8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337114573", "sha": "9c22005a80d13cc4043188ea5789e6832c8143c4", "translated_description": "", "image_url": "https://img.youtube.com/vi/pInFesXIfg8/hqdefault.jpg", "youtube_id": "pInFesXIfg8", "content_kind": "Video", "readable_id": "identifying-minima-and-maxima-for-x-3---12x---5"}, {"translated_youtube_id": "LcEqOzNov4E", "relative_url": "/video/concavity--concave-upwards-and-concave-downwards-intervals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/concavity--concave-upwards-and-concave-downwards-intervals", "duration": 594, "translated_title": "Concavity, concave upwards and concave downwards intervals", "translated_description_html": "", "id": "1337193144", "description_html": "", "title": "Concavity, concave upwards and concave downwards intervals", "progress_key": "v1337193144", "edit_slug": "edit/v/1337193144", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/concavity--concave-upwards-and-concave-downwards-intervals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-31T01:41:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LcEqOzNov4E.mp4/LcEqOzNov4E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LcEqOzNov4E.mp4/LcEqOzNov4E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LcEqOzNov4E.m3u8/LcEqOzNov4E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LcEqOzNov4E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337193144", "sha": "7f60229350b51b2007cf232d921f88fea02ce877", "translated_description": "", "image_url": "https://img.youtube.com/vi/LcEqOzNov4E/hqdefault.jpg", "youtube_id": "LcEqOzNov4E", "content_kind": "Video", "readable_id": "concavity--concave-upwards-and-concave-downwards-intervals"}, {"translated_youtube_id": "ulyyusmpc9w", "relative_url": "/video/recognizing-concavity-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/recognizing-concavity-exercise", "duration": 143, "translated_title": "Recognizing concavity exercise", "translated_description_html": "", "id": "x22647994", "description_html": "", "title": "Recognizing concavity exercise", "progress_key": "vx22647994", "edit_slug": "edit/v/x22647994", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/recognizing-concavity-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-03T00:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ulyyusmpc9w.mp4/ulyyusmpc9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ulyyusmpc9w.mp4/ulyyusmpc9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ulyyusmpc9w.m3u8/ulyyusmpc9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ulyyusmpc9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx22647994", "sha": "380b94806c019fc87214637fde0597bbc501a0d0", "translated_description": "", "image_url": "https://img.youtube.com/vi/ulyyusmpc9w/hqdefault.jpg", "youtube_id": "ulyyusmpc9w", "content_kind": "Video", "readable_id": "recognizing-concavity-exercise"}, {"translated_youtube_id": "UK2shgCXALo", "relative_url": "/video/inflection-points", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inflection-points", "duration": 154, "translated_title": "Inflection points", "translated_description_html": "", "id": "1336987809", "description_html": "", "title": "Inflection points", "progress_key": "v1336987809", "edit_slug": "edit/v/1336987809", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/inflection-points", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T01:41:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UK2shgCXALo.mp4/UK2shgCXALo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UK2shgCXALo.mp4/UK2shgCXALo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UK2shgCXALo.m3u8/UK2shgCXALo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UK2shgCXALo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1336987809", "sha": "2f28e1ded9094e65e1e2ff584a5fb32284cc5768", "translated_description": "", "image_url": "https://img.youtube.com/vi/UK2shgCXALo/hqdefault.jpg", "youtube_id": "UK2shgCXALo", "content_kind": "Video", "readable_id": "inflection-points"}, {"translated_youtube_id": "hIgnece9ins", "relative_url": "/video/calculus--graphing-using-derivatives", "has_questions": false, "keywords": "derivatives, calculus, graphing, inflection, critical, points, CC_39336_F-IF_7, CC_39336_F-IF_7_c", "ka_url": "http://www.khanacademy.org/video/calculus--graphing-using-derivatives", "duration": 1231, "translated_title": "Graphing using derivatives", "translated_description_html": "Graphing functions using derivatives.", "id": "355054", "description_html": "Graphing functions using derivatives.", "title": "Graphing using derivatives", "progress_key": "v355054", "edit_slug": "edit/v/355054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Graphing functions using derivatives.", "extra_properties": null, "node_slug": "v/calculus--graphing-using-derivatives", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:32:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hIgnece9ins.mp4/hIgnece9ins.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hIgnece9ins.mp4/hIgnece9ins.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hIgnece9ins.m3u8/hIgnece9ins.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hIgnece9ins&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v355054", "sha": "1711c758325522c0fc3a18bd5e6e70b47259bed3", "translated_description": "Graphing functions using derivatives.", "image_url": "https://img.youtube.com/vi/hIgnece9ins/hqdefault.jpg", "youtube_id": "hIgnece9ins", "content_kind": "Video", "readable_id": "calculus--graphing-using-derivatives"}, {"translated_youtube_id": "zC_dTaEY2AY", "relative_url": "/video/calculus-graphing-with-derivatives-example", "has_questions": false, "keywords": "derivative, calculus, function, graphing, inflection, critical, points, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/calculus-graphing-with-derivatives-example", "duration": 1508, "translated_title": "Another example graphing with derivatives", "translated_description_html": "Using the first and second derivatives to identify critical points and inflection points and to graph the function.", "id": "366056", "description_html": "Using the first and second derivatives to identify critical points and inflection points and to graph the function.", "title": "Another example graphing with derivatives", "progress_key": "v366056", "edit_slug": "edit/v/366056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the first and second derivatives to identify critical points and inflection points and to graph the function.", "extra_properties": null, "node_slug": "v/calculus-graphing-with-derivatives-example", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zC_dTaEY2AY.mp4/zC_dTaEY2AY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zC_dTaEY2AY.mp4/zC_dTaEY2AY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zC_dTaEY2AY.m3u8/zC_dTaEY2AY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zC_dTaEY2AY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v366056", "sha": "c47d9e6c7163926c09537febd8f15fdfcde2ac04", "translated_description": "Using the first and second derivatives to identify critical points and inflection points and to graph the function.", "image_url": "https://img.youtube.com/vi/zC_dTaEY2AY/hqdefault.jpg", "youtube_id": "zC_dTaEY2AY", "content_kind": "Video", "readable_id": "calculus-graphing-with-derivatives-example"}], "twitter_url": "", "translated_description": "Can calculus be used to figure out when a function takes on a local or global maximum value? Absolutely. Not only that, but derivatives and second derivatives can also help us understand the shape of the function (whether they are concave upward or downward).\n\nIf you have a basic conceptual understanding of derivatives, then you can start applying that knowledge here to identify critical points, extrema, inflections points and even to graph functions.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Can calculus be used to figure out when a function takes on a local or global maximum value? Absolutely. Not only that, but derivatives and second derivatives can also help us understand the shape of the function (whether they are concave upward or downward).\n\nIf you have a basic conceptual understanding of derivatives, then you can start applying that knowledge here to identify critical points, extrema, inflections points and even to graph functions.", "x_pos": 0.0, "node_slug": "critical_points_graphing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-03T01:00:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3bd2e7e0", "topic_page_url": "/math/calculus/derivative_applications/critical_points_graphing", "extended_slug": "math/calculus/derivative_applications/critical_points_graphing", "slug": "critical_points_graphing", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1c9e7e6b5895a25cc7dd9020735968cec94d5aa7", "standalone_title": "Critical points and graphing with calculus", "y_pos": 0.0, "current_revision_key": "1c9e7e6b5895a25cc7dd9020735968cec94d5aa7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications/calc_optimization", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications/calc_optimization", "translated_standalone_title": "Optimization with calculus", "translated_title": "Optimization with calculus", "gplus_url": "", "id": "x27a1754d", "old_key_name": "lcU3CQMmpGOej20_E_yLwr64bmAkzMgk_xxSo1FZ", "hide": false, "title": "Optimization with calculus", "child_data": [{"kind": "Video", "id": 1339427794}, {"kind": "Video", "id": 1338874025}, {"kind": "Video", "id": 1339153034}, {"kind": "Video", "id": 1339412561}, {"kind": "Video", "id": 1339500281}, {"kind": "Video", "id": 1393028914}, {"kind": "Video", "id": 1392948670}], "children": [{"translated_youtube_id": "1TK8V_qmqrk", "relative_url": "/video/minimizing-sum-of-squares", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/minimizing-sum-of-squares", "duration": 455, "translated_title": "Minimizing sum of squares", "translated_description_html": "", "id": "1339427794", "description_html": "", "title": "Minimizing sum of squares", "progress_key": "v1339427794", "edit_slug": "edit/v/1339427794", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/minimizing-sum-of-squares", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T20:58:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1TK8V_qmqrk.mp4/1TK8V_qmqrk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1TK8V_qmqrk.mp4/1TK8V_qmqrk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1TK8V_qmqrk.m3u8/1TK8V_qmqrk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1TK8V_qmqrk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339427794", "sha": "05cf760a0c6fca935d54add3964fa2a0dd3ab412", "translated_description": "", "image_url": "https://img.youtube.com/vi/1TK8V_qmqrk/hqdefault.jpg", "youtube_id": "1TK8V_qmqrk", "content_kind": "Video", "readable_id": "minimizing-sum-of-squares"}, {"translated_youtube_id": "MC0tq6fNRwU", "relative_url": "/video/optimizing-box-volume-graphically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optimizing-box-volume-graphically", "duration": 590, "translated_title": "Optimizing box volume graphically", "translated_description_html": "", "id": "1338874025", "description_html": "", "title": "Optimizing box volume graphically", "progress_key": "v1338874025", "edit_slug": "edit/v/1338874025", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/optimizing-box-volume-graphically", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-31T17:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MC0tq6fNRwU.mp4/MC0tq6fNRwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MC0tq6fNRwU.mp4/MC0tq6fNRwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MC0tq6fNRwU.m3u8/MC0tq6fNRwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MC0tq6fNRwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1338874025", "sha": "57cb74f0e9adbd6e50fa7d23b009fb1d5193df6e", "translated_description": "", "image_url": "https://img.youtube.com/vi/MC0tq6fNRwU/hqdefault.jpg", "youtube_id": "MC0tq6fNRwU", "content_kind": "Video", "readable_id": "optimizing-box-volume-graphically"}, {"translated_youtube_id": "cRboY08YG8g", "relative_url": "/video/optimizing-box-volume-analytically", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optimizing-box-volume-analytically", "duration": 540, "translated_title": "Optimizing box volume analytically", "translated_description_html": "", "id": "1339153034", "description_html": "", "title": "Optimizing box volume analytically", "progress_key": "v1339153034", "edit_slug": "edit/v/1339153034", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/optimizing-box-volume-analytically", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T17:47:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cRboY08YG8g.mp4/cRboY08YG8g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cRboY08YG8g.mp4/cRboY08YG8g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cRboY08YG8g.m3u8/cRboY08YG8g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cRboY08YG8g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339153034", "sha": "2257f14998a0efa56db55b10d93eccae1d27ba89", "translated_description": "", "image_url": "https://img.youtube.com/vi/cRboY08YG8g/hqdefault.jpg", "youtube_id": "cRboY08YG8g", "content_kind": "Video", "readable_id": "optimizing-box-volume-analytically"}, {"translated_youtube_id": "dam16G6cZ8k", "relative_url": "/video/optimizing-profit-at-a-shoe-factory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optimizing-profit-at-a-shoe-factory", "duration": 687, "translated_title": "Optimizing profit at a shoe factory", "translated_description_html": "", "id": "1339412561", "description_html": "", "title": "Optimizing profit at a shoe factory", "progress_key": "v1339412561", "edit_slug": "edit/v/1339412561", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/optimizing-profit-at-a-shoe-factory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T20:27:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dam16G6cZ8k.mp4/dam16G6cZ8k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dam16G6cZ8k.mp4/dam16G6cZ8k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dam16G6cZ8k.m3u8/dam16G6cZ8k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dam16G6cZ8k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339412561", "sha": "65260585a03c122cc99487ab209ad0a77c5cb654", "translated_description": "", "image_url": "https://img.youtube.com/vi/dam16G6cZ8k/hqdefault.jpg", "youtube_id": "dam16G6cZ8k", "content_kind": "Video", "readable_id": "optimizing-profit-at-a-shoe-factory"}, {"translated_youtube_id": "tSMuKcN-RKM", "relative_url": "/video/minimizing-the-cost-of-a-storage-container", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/minimizing-the-cost-of-a-storage-container", "duration": 760, "translated_title": "Minimizing the cost of a storage container", "translated_description_html": "", "id": "1339500281", "description_html": "", "title": "Minimizing the cost of a storage container", "progress_key": "v1339500281", "edit_slug": "edit/v/1339500281", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/minimizing-the-cost-of-a-storage-container", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T20:30:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tSMuKcN-RKM.mp4/tSMuKcN-RKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tSMuKcN-RKM.mp4/tSMuKcN-RKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tSMuKcN-RKM.m3u8/tSMuKcN-RKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tSMuKcN-RKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339500281", "sha": "a4bfe2fa637f3d89ae74777e6b4ab3891be2ac0b", "translated_description": "", "image_url": "https://img.youtube.com/vi/tSMuKcN-RKM/hqdefault.jpg", "youtube_id": "tSMuKcN-RKM", "content_kind": "Video", "readable_id": "minimizing-the-cost-of-a-storage-container"}, {"translated_youtube_id": "IFU7Go6Qg6E", "relative_url": "/video/expression-for-combined-area-of-triangle-and-square", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/expression-for-combined-area-of-triangle-and-square", "duration": 379, "translated_title": "Expression for combined area of triangle and square", "translated_description_html": "", "id": "1393028914", "description_html": "", "title": "Expression for combined area of triangle and square", "progress_key": "v1393028914", "edit_slug": "edit/v/1393028914", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/expression-for-combined-area-of-triangle-and-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-19T19:50:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IFU7Go6Qg6E.mp4/IFU7Go6Qg6E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IFU7Go6Qg6E.mp4/IFU7Go6Qg6E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IFU7Go6Qg6E.m3u8/IFU7Go6Qg6E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IFU7Go6Qg6E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1393028914", "sha": "f2ebcbf560b07262d95028e5c4f4a709e2a3bae1", "translated_description": "", "image_url": "https://img.youtube.com/vi/IFU7Go6Qg6E/hqdefault.jpg", "youtube_id": "IFU7Go6Qg6E", "content_kind": "Video", "readable_id": "expression-for-combined-area-of-triangle-and-square"}, {"translated_youtube_id": "eS-_ZFzHjYA", "relative_url": "/video/minimizing-combined-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/minimizing-combined-area", "duration": 331, "translated_title": "Minimizing combined area", "translated_description_html": "", "id": "1392948670", "description_html": "", "title": "Minimizing combined area", "progress_key": "v1392948670", "edit_slug": "edit/v/1392948670", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/minimizing-combined-area", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T19:52:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eS-_ZFzHjYA.mp4/eS-_ZFzHjYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eS-_ZFzHjYA.mp4/eS-_ZFzHjYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eS-_ZFzHjYA.m3u8/eS-_ZFzHjYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eS-_ZFzHjYA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1392948670", "sha": "a2d86ab807edda9012a3de38231d15179505a962", "translated_description": "", "image_url": "https://img.youtube.com/vi/eS-_ZFzHjYA/hqdefault.jpg", "youtube_id": "eS-_ZFzHjYA", "content_kind": "Video", "readable_id": "minimizing-combined-area"}], "twitter_url": "", "translated_description": "Using calculus to solve optimization problems", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using calculus to solve optimization problems", "x_pos": 0.0, "node_slug": "calc_optimization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax27a1754d", "topic_page_url": "/math/calculus/derivative_applications/calc_optimization", "extended_slug": "math/calculus/derivative_applications/calc_optimization", "slug": "calc_optimization", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7ccc55684144c7ca95dde5fdd41a229563034f99", "standalone_title": "Optimization with calculus", "y_pos": 0.0, "current_revision_key": "7ccc55684144c7ca95dde5fdd41a229563034f99", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications/rates_of_change", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications/rates_of_change", "translated_standalone_title": "Rates of change", "translated_title": "Related rates", "gplus_url": "", "id": "x2366d755", "old_key_name": "d1EZHua-cJ25WvwfqAKE8mCxGCQ89yOUow3yAc0C", "hide": false, "title": "Related rates", "child_data": [{"kind": "Video", "id": 1339382000}, {"kind": "Video", "id": 1341818796}, {"kind": "Video", "id": 1339646438}, {"kind": "Video", "id": 1339617514}, {"kind": "Video", "id": 1353379359}, {"kind": "Video", "id": 1353395672}, {"kind": "Exercise", "id": "x79640cff"}], "children": [{"translated_youtube_id": "kQF9pOqmS0U", "relative_url": "/video/rates-of-change-between-radius-and-area-of-circle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rates-of-change-between-radius-and-area-of-circle", "duration": 463, "translated_title": "Rates of change between radius and area of circle", "translated_description_html": "", "id": "1339382000", "description_html": "", "title": "Rates of change between radius and area of circle", "progress_key": "v1339382000", "edit_slug": "edit/v/1339382000", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/rates-of-change-between-radius-and-area-of-circle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T22:39:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kQF9pOqmS0U.mp4/kQF9pOqmS0U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kQF9pOqmS0U.mp4/kQF9pOqmS0U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kQF9pOqmS0U.m3u8/kQF9pOqmS0U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kQF9pOqmS0U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339382000", "sha": "a91e3a814c23f261e6f677bfd703e1a50ca4617d", "translated_description": "", "image_url": "https://img.youtube.com/vi/kQF9pOqmS0U/hqdefault.jpg", "youtube_id": "kQF9pOqmS0U", "content_kind": "Video", "readable_id": "rates-of-change-between-radius-and-area-of-circle"}, {"translated_youtube_id": "_kbd6troMgA", "relative_url": "/video/rate-of-change-of-balloon-height", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rate-of-change-of-balloon-height", "duration": 497, "translated_title": "Rate of change of balloon height", "translated_description_html": "", "id": "1341818796", "description_html": "", "title": "Rate of change of balloon height", "progress_key": "v1341818796", "edit_slug": "edit/v/1341818796", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/rate-of-change-of-balloon-height", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-01T16:25:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_kbd6troMgA.mp4/_kbd6troMgA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_kbd6troMgA.mp4/_kbd6troMgA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_kbd6troMgA.m3u8/_kbd6troMgA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_kbd6troMgA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1341818796", "sha": "4fbd61fb7d72d2525b9c2431d78bae1a6bd078c7", "translated_description": "", "image_url": "https://img.youtube.com/vi/_kbd6troMgA/hqdefault.jpg", "youtube_id": "_kbd6troMgA", "content_kind": "Video", "readable_id": "rate-of-change-of-balloon-height"}, {"translated_youtube_id": "Xe6YlrCgkIo", "relative_url": "/video/related-rates-of-water-pouring-into-cone", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/related-rates-of-water-pouring-into-cone", "duration": 692, "translated_title": "Related rates of water pouring into cone", "translated_description_html": "", "id": "1339646438", "description_html": "", "title": "Related rates of water pouring into cone", "progress_key": "v1339646438", "edit_slug": "edit/v/1339646438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/related-rates-of-water-pouring-into-cone", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T22:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xe6YlrCgkIo.mp4/Xe6YlrCgkIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xe6YlrCgkIo.mp4/Xe6YlrCgkIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xe6YlrCgkIo.m3u8/Xe6YlrCgkIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xe6YlrCgkIo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339646438", "sha": "8b219255f8e1fec4ea3d93eab072d46fc35c1ad1", "translated_description": "", "image_url": "https://img.youtube.com/vi/Xe6YlrCgkIo/hqdefault.jpg", "youtube_id": "Xe6YlrCgkIo", "content_kind": "Video", "readable_id": "related-rates-of-water-pouring-into-cone"}, {"translated_youtube_id": "kBVDSu7v8os", "relative_url": "/video/falling-ladder-related-rates", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/falling-ladder-related-rates", "duration": 349, "translated_title": "Falling ladder related rates", "translated_description_html": "", "id": "1339617514", "description_html": "", "title": "Falling ladder related rates", "progress_key": "v1339617514", "edit_slug": "edit/v/1339617514", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/falling-ladder-related-rates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T23:02:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kBVDSu7v8os.mp4/kBVDSu7v8os.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kBVDSu7v8os.mp4/kBVDSu7v8os.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kBVDSu7v8os.m3u8/kBVDSu7v8os.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kBVDSu7v8os&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339617514", "sha": "1f1f2c444857c8a15f9cf4dc560309189b1e27c5", "translated_description": "", "image_url": "https://img.youtube.com/vi/kBVDSu7v8os/hqdefault.jpg", "youtube_id": "kBVDSu7v8os", "content_kind": "Video", "readable_id": "falling-ladder-related-rates"}, {"translated_youtube_id": "wV59XWLmv0c", "relative_url": "/video/rate-of-change-of-distance-between-approaching-cars", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rate-of-change-of-distance-between-approaching-cars", "duration": 413, "translated_title": "Rate of change of distance between approaching cars", "translated_description_html": "", "id": "1353379359", "description_html": "", "title": "Rate of change of distance between approaching cars", "progress_key": "v1353379359", "edit_slug": "edit/v/1353379359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/rate-of-change-of-distance-between-approaching-cars", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-05T23:37:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wV59XWLmv0c.mp4/wV59XWLmv0c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wV59XWLmv0c.mp4/wV59XWLmv0c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wV59XWLmv0c.m3u8/wV59XWLmv0c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wV59XWLmv0c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1353379359", "sha": "b0082d7bc66f6770be127f3baa8240ff665e31cf", "translated_description": "", "image_url": "https://img.youtube.com/vi/wV59XWLmv0c/hqdefault.jpg", "youtube_id": "wV59XWLmv0c", "content_kind": "Video", "readable_id": "rate-of-change-of-distance-between-approaching-cars"}, {"translated_youtube_id": "cPOjnyjii-4", "relative_url": "/video/speed-of-shadow-of-diving-bird", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/speed-of-shadow-of-diving-bird", "duration": 639, "translated_title": "Speed of shadow of diving bird", "translated_description_html": "", "id": "1353395672", "description_html": "", "title": "Speed of shadow of diving bird", "progress_key": "v1353395672", "edit_slug": "edit/v/1353395672", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/speed-of-shadow-of-diving-bird", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-05T23:38:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cPOjnyjii-4.mp4/cPOjnyjii-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cPOjnyjii-4.mp4/cPOjnyjii-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cPOjnyjii-4.m3u8/cPOjnyjii-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cPOjnyjii-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1353395672", "sha": "53fab09043b9c958c606b2639ce184748ca76d2e", "translated_description": "", "image_url": "https://img.youtube.com/vi/cPOjnyjii-4/hqdefault.jpg", "youtube_id": "cPOjnyjii-4", "content_kind": "Video", "readable_id": "speed-of-shadow-of-diving-bird"}], "twitter_url": "", "translated_description": "Have you ever wondered how fast the area of a ripple of a pond is increasing based on how fast the ripple is? What about how fast a volcano's volume is increasing? This tutorial on related rates will satiate your curiosity and then some!\n\n\nSolving related rates problems using calculus", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Have you ever wondered how fast the area of a ripple of a pond is increasing based on how fast the ripple is? What about how fast a volcano's volume is increasing? This tutorial on related rates will satiate your curiosity and then some!\n\n\nSolving related rates problems using calculus", "x_pos": 0.0, "node_slug": "rates_of_change", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T15:02:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2366d755", "topic_page_url": "/math/calculus/derivative_applications/rates_of_change", "extended_slug": "math/calculus/derivative_applications/rates_of_change", "slug": "rates_of_change", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3613d396519166413b0fb4220b4607171bf60f85", "standalone_title": "Rates of change", "y_pos": 0.0, "current_revision_key": "3613d396519166413b0fb4220b4607171bf60f85", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications/mean_value_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications/mean_value_theorem", "translated_standalone_title": "Mean value theorem", "translated_title": "Mean value theorem", "gplus_url": "", "id": "x192b8612", "old_key_name": "Ly06PyHIEPkZl8PFeCd8laHcOXwlXuibRixFwvdM", "hide": false, "title": "Mean value theorem", "child_data": [{"kind": "Video", "id": 24178}], "children": [{"translated_youtube_id": "bGNMXfaNR5Q", "relative_url": "/video/mean-value-theorem", "has_questions": false, "keywords": "calculus, mean, value, theorem, CC_39336_F-IF_6", "ka_url": "http://www.khanacademy.org/video/mean-value-theorem", "duration": 1008, "translated_title": "Mean value theorem", "translated_description_html": "Intuition behind the Mean Value Theorem", "id": "24178", "description_html": "Intuition behind the Mean Value Theorem", "title": "Mean value theorem", "progress_key": "v24178", "edit_slug": "edit/v/24178", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind the Mean Value Theorem", "extra_properties": null, "node_slug": "v/mean-value-theorem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:32:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bGNMXfaNR5Q.mp4/bGNMXfaNR5Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bGNMXfaNR5Q.mp4/bGNMXfaNR5Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bGNMXfaNR5Q.m3u8/bGNMXfaNR5Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bGNMXfaNR5Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24178", "sha": "ee835a56dae05a6ee3393a131f595f0e35e3c2fe", "translated_description": "Intuition behind the Mean Value Theorem", "image_url": "https://img.youtube.com/vi/bGNMXfaNR5Q/hqdefault.jpg", "youtube_id": "bGNMXfaNR5Q", "content_kind": "Video", "readable_id": "mean-value-theorem"}], "twitter_url": "", "translated_description": "If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point. This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point. This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).", "x_pos": 0.0, "node_slug": "mean_value_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax192b8612", "topic_page_url": "/math/calculus/derivative_applications/mean_value_theorem", "extended_slug": "math/calculus/derivative_applications/mean_value_theorem", "slug": "mean_value_theorem", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5f26f2a2c7e95ac03539de0c9580448b1dbd1d4b", "standalone_title": "Mean value theorem", "y_pos": 0.0, "current_revision_key": "5f26f2a2c7e95ac03539de0c9580448b1dbd1d4b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/derivative_applications/lhopital_rule", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/derivative_applications/lhopital_rule", "translated_standalone_title": "L'Hôpital's Rule", "translated_title": "L'Hôpital's rule", "gplus_url": "", "id": "x0e9d2350", "old_key_name": "y9fEr3XyxtWvRE3cN9HvPfvZ921p860bRRNHj1V-", "hide": false, "title": "L'Hôpital's rule", "child_data": [{"kind": "Video", "id": 27376}, {"kind": "Video", "id": 27377}, {"kind": "Video", "id": 27378}, {"kind": "Video", "id": 27379}, {"kind": "Exercise", "id": 427782083}, {"kind": "Video", "id": 1383606650}], "children": [{"translated_youtube_id": "PdSzruR5OeE", "relative_url": "/video/introduction-to-l-hopital-s-rule", "has_questions": false, "keywords": "l'hopital's, rule, limit, derivative", "ka_url": "http://www.khanacademy.org/video/introduction-to-l-hopital-s-rule", "duration": 531, "translated_title": "Introduction to l'Hôpital's rule", "translated_description_html": "Introduction to L'Hôpital's Rule", "id": "27376", "description_html": "Introduction to L'Hôpital's Rule", "title": "Introduction to l'Hôpital's rule", "progress_key": "v27376", "edit_slug": "edit/v/27376", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to L'Hôpital's Rule", "extra_properties": null, "node_slug": "v/introduction-to-l-hopital-s-rule", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:32:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PdSzruR5OeE.mp4/PdSzruR5OeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PdSzruR5OeE.mp4/PdSzruR5OeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PdSzruR5OeE.m3u8/PdSzruR5OeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PdSzruR5OeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27376", "sha": "2b4b895dbac0c24f973f2f68b56358f4f08b7fd6", "translated_description": "Introduction to L'Hôpital's Rule", "image_url": "https://img.youtube.com/vi/PdSzruR5OeE/hqdefault.jpg", "youtube_id": "PdSzruR5OeE", "content_kind": "Video", "readable_id": "introduction-to-l-hopital-s-rule"}, {"translated_youtube_id": "BiVOC3WocXs", "relative_url": "/video/l-hopital-s-rule-example-1", "has_questions": false, "keywords": "L'Hopital's, Rule, Example", "ka_url": "http://www.khanacademy.org/video/l-hopital-s-rule-example-1", "duration": 463, "translated_title": "L'Hôpital's rule example 1", "translated_description_html": "L'Hôpital's Rule Example 1", "id": "27377", "description_html": "L'Hôpital's Rule Example 1", "title": "L'Hôpital's rule example 1", "progress_key": "v27377", "edit_slug": "edit/v/27377", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "L'Hôpital's Rule Example 1", "extra_properties": null, "node_slug": "v/l-hopital-s-rule-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:32:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BiVOC3WocXs.mp4/BiVOC3WocXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BiVOC3WocXs.mp4/BiVOC3WocXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BiVOC3WocXs.m3u8/BiVOC3WocXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BiVOC3WocXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27377", "sha": "619ffc3f5236da485c170a9f0ec09a6fe56c224f", "translated_description": "L'Hôpital's Rule Example 1", "image_url": "https://img.youtube.com/vi/BiVOC3WocXs/hqdefault.jpg", "youtube_id": "BiVOC3WocXs", "content_kind": "Video", "readable_id": "l-hopital-s-rule-example-1"}, {"translated_youtube_id": "FJo18AwLfuI", "relative_url": "/video/l-hopital-s-rule-example-2", "has_questions": false, "keywords": "L'Hopital's, Rule, Example", "ka_url": "http://www.khanacademy.org/video/l-hopital-s-rule-example-2", "duration": 315, "translated_title": "L'Hôpital's rule example 2", "translated_description_html": "L'Hôpital's Rule Example 2", "id": "27378", "description_html": "L'Hôpital's Rule Example 2", "title": "L'Hôpital's rule example 2", "progress_key": "v27378", "edit_slug": "edit/v/27378", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "L'Hôpital's Rule Example 2", "extra_properties": null, "node_slug": "v/l-hopital-s-rule-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:32:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FJo18AwLfuI.mp4/FJo18AwLfuI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FJo18AwLfuI.mp4/FJo18AwLfuI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FJo18AwLfuI.m3u8/FJo18AwLfuI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FJo18AwLfuI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27378", "sha": "06b7419363a506bc0534a804a1ae4cfe800096be", "translated_description": "L'Hôpital's Rule Example 2", "image_url": "https://img.youtube.com/vi/FJo18AwLfuI/hqdefault.jpg", "youtube_id": "FJo18AwLfuI", "content_kind": "Video", "readable_id": "l-hopital-s-rule-example-2"}, {"translated_youtube_id": "MeVFZjT-ABM", "relative_url": "/video/l-hopital-s-rule-example-3", "has_questions": false, "keywords": "L'Hopital's, Rule, Example", "ka_url": "http://www.khanacademy.org/video/l-hopital-s-rule-example-3", "duration": 470, "translated_title": "L'Hôpital's rule example 3", "translated_description_html": "L'Hôpital's Rule Example 3", "id": "27379", "description_html": "L'Hôpital's Rule Example 3", "title": "L'Hôpital's rule example 3", "progress_key": "v27379", "edit_slug": "edit/v/27379", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "L'Hôpital's Rule Example 3", "extra_properties": null, "node_slug": "v/l-hopital-s-rule-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:32:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MeVFZjT-ABM.mp4/MeVFZjT-ABM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MeVFZjT-ABM.mp4/MeVFZjT-ABM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MeVFZjT-ABM.m3u8/MeVFZjT-ABM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MeVFZjT-ABM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27379", "sha": "637341c1648e2ef47a7bcc2bb14a9433d01a3a2d", "translated_description": "L'Hôpital's Rule Example 3", "image_url": "https://img.youtube.com/vi/MeVFZjT-ABM/hqdefault.jpg", "youtube_id": "MeVFZjT-ABM", "content_kind": "Video", "readable_id": "l-hopital-s-rule-example-3"}, {"translated_youtube_id": "SIB4WDYF5DQ", "relative_url": "/video/proof-of-special-case-of-l-hopital-s-rule", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/proof-of-special-case-of-l-hopital-s-rule", "duration": 321, "translated_title": "Proof of special case of l'Hôpital's rule", "translated_description_html": "", "id": "1383606650", "description_html": "", "title": "Proof of special case of l'Hôpital's rule", "progress_key": "v1383606650", "edit_slug": "edit/v/1383606650", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/proof-of-special-case-of-l-hopital-s-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T01:22:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SIB4WDYF5DQ.mp4/SIB4WDYF5DQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SIB4WDYF5DQ.mp4/SIB4WDYF5DQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SIB4WDYF5DQ.m3u8/SIB4WDYF5DQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SIB4WDYF5DQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383606650", "sha": "a5836da0639ab65d7c3477cf5fe2f51eace65c76", "translated_description": "", "image_url": "https://img.youtube.com/vi/SIB4WDYF5DQ/hqdefault.jpg", "youtube_id": "SIB4WDYF5DQ", "content_kind": "Video", "readable_id": "proof-of-special-case-of-l-hopital-s-rule"}], "twitter_url": "", "translated_description": "Limits have done their part helping to find derivatives. Now, under the guidance of l'Hôpital's rule, derivatives are looking to show their gratitude by helping to find limits. Ever try to evaluate a function at a point and get 0/0 or infinity/infinity? Well, that's a big clue that l'Hopital's rule can help you find the limit of the function at that point.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Limits have done their part helping to find derivatives. Now, under the guidance of l'Hôpital's rule, derivatives are looking to show their gratitude by helping to find limits. Ever try to evaluate a function at a point and get 0/0 or infinity/infinity? Well, that's a big clue that l'Hopital's rule can help you find the limit of the function at that point.", "x_pos": 0.0, "node_slug": "lhopital_rule", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0e9d2350", "topic_page_url": "/math/calculus/derivative_applications/lhopital_rule", "extended_slug": "math/calculus/derivative_applications/lhopital_rule", "slug": "lhopital_rule", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "33aa028b116692a7fce14d83cb5da3ece664bb03", "standalone_title": "L'Hôpital's Rule", "y_pos": 0.0, "current_revision_key": "33aa028b116692a7fce14d83cb5da3ece664bb03", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theorem.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theorem.", "x_pos": 0.0, "node_slug": "derivative_applications", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcc2c1257", "topic_page_url": "/math/calculus/derivative_applications", "extended_slug": "math/calculus/derivative_applications", "slug": "derivative_applications", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7da642c0a83693966ec887f1b105a2e466426247", "standalone_title": "Derivative applications", "y_pos": 0.0, "current_revision_key": "7da642c0a83693966ec887f1b105a2e466426247", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus", "translated_standalone_title": "Integral calculus", "translated_title": "Indefinite and definite integrals", "gplus_url": "", "id": "xb640969d", "old_key_name": "l_x-siD3AugYxWigJq052uwAG-tbnGV7wesGeBEs", "hide": false, "title": "Indefinite and definite integrals", "child_data": [{"kind": "Topic", "id": "xe894bd39"}, {"kind": "Topic", "id": "x7ae76dbb"}, {"kind": "Topic", "id": "x0a0b42c7"}, {"kind": "Topic", "id": "xcb8f620d"}, {"kind": "Topic", "id": "xf4069f98"}, {"kind": "Topic", "id": "x7f217d54"}, {"kind": "Topic", "id": "xdaad1380"}, {"kind": "Topic", "id": "xbdb962f4"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/indefinite_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/indefinite_integrals", "translated_standalone_title": "Indefinite integral as anti-derivative", "translated_title": "Indefinite integral as anti-derivative", "gplus_url": "", "id": "xe894bd39", "old_key_name": "apCPyxpYAbSko4c6rHSyTCurQLEAH9LT-GNpiiog", "hide": false, "title": "Indefinite integral as anti-derivative", "child_data": [{"kind": "Video", "id": 1328880986}, {"kind": "Video", "id": 1328847625}, {"kind": "Video", "id": 1328896635}, {"kind": "Video", "id": 1329132099}, {"kind": "Video", "id": 1328998382}], "children": [{"translated_youtube_id": "MMv-027KEqU", "relative_url": "/video/antiderivatives-and-indefinite-integrals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antiderivatives-and-indefinite-integrals", "duration": 223, "translated_title": "Antiderivatives and indefinite integrals", "translated_description_html": "", "id": "1328880986", "description_html": "", "title": "Antiderivatives and indefinite integrals", "progress_key": "v1328880986", "edit_slug": "edit/v/1328880986", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/antiderivatives-and-indefinite-integrals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T16:56:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MMv-027KEqU.mp4/MMv-027KEqU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MMv-027KEqU.mp4/MMv-027KEqU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MMv-027KEqU.m3u8/MMv-027KEqU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MMv-027KEqU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1328880986", "sha": "0ca23b0fcad77effd3ca0a01bbb080e7fc026507", "translated_description": "", "image_url": "https://img.youtube.com/vi/MMv-027KEqU/hqdefault.jpg", "youtube_id": "MMv-027KEqU", "content_kind": "Video", "readable_id": "antiderivatives-and-indefinite-integrals"}, {"translated_youtube_id": "QxbJsg-Vdms", "relative_url": "/video/indefinite-integrals-of-x-raised-to-a-power", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/indefinite-integrals-of-x-raised-to-a-power", "duration": 348, "translated_title": "Indefinite integrals of x raised to a power", "translated_description_html": "", "id": "1328847625", "description_html": "", "title": "Indefinite integrals of x raised to a power", "progress_key": "v1328847625", "edit_slug": "edit/v/1328847625", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/indefinite-integrals-of-x-raised-to-a-power", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-28T16:57:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QxbJsg-Vdms.mp4/QxbJsg-Vdms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QxbJsg-Vdms.mp4/QxbJsg-Vdms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QxbJsg-Vdms.m3u8/QxbJsg-Vdms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QxbJsg-Vdms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1328847625", "sha": "af14f8b929a72cdd5a62cc8584f09857555d6074", "translated_description": "", "image_url": "https://img.youtube.com/vi/QxbJsg-Vdms/hqdefault.jpg", "youtube_id": "QxbJsg-Vdms", "content_kind": "Video", "readable_id": "indefinite-integrals-of-x-raised-to-a-power"}, {"translated_youtube_id": "cBi4a1iSaPk", "relative_url": "/video/antiderivative-of-hairier-expression", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antiderivative-of-hairier-expression", "duration": 376, "translated_title": "Antiderivative of hairier expression", "translated_description_html": "", "id": "1328896635", "description_html": "", "title": "Antiderivative of hairier expression", "progress_key": "v1328896635", "edit_slug": "edit/v/1328896635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/antiderivative-of-hairier-expression", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-28T16:57:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cBi4a1iSaPk.mp4/cBi4a1iSaPk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cBi4a1iSaPk.mp4/cBi4a1iSaPk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cBi4a1iSaPk.m3u8/cBi4a1iSaPk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cBi4a1iSaPk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1328896635", "sha": "09d12e95f6fc29d399a1115e3a50e2bf2fe49beb", "translated_description": "", "image_url": "https://img.youtube.com/vi/cBi4a1iSaPk/hqdefault.jpg", "youtube_id": "cBi4a1iSaPk", "content_kind": "Video", "readable_id": "antiderivative-of-hairier-expression"}, {"translated_youtube_id": "hXg-6YgAARk", "relative_url": "/video/basic-trig-and-exponential-antiderivatives", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basic-trig-and-exponential-antiderivatives", "duration": 244, "translated_title": "Basic trig and exponential antiderivatives", "translated_description_html": "", "id": "1329132099", "description_html": "", "title": "Basic trig and exponential antiderivatives", "progress_key": "v1329132099", "edit_slug": "edit/v/1329132099", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/basic-trig-and-exponential-antiderivatives", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T16:59:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hXg-6YgAARk.mp4/hXg-6YgAARk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hXg-6YgAARk.mp4/hXg-6YgAARk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hXg-6YgAARk.m3u8/hXg-6YgAARk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hXg-6YgAARk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1329132099", "sha": "4796c9f83f2f738010c29cba0fe3a980b83b0014", "translated_description": "", "image_url": "https://img.youtube.com/vi/hXg-6YgAARk/hqdefault.jpg", "youtube_id": "hXg-6YgAARk", "content_kind": "Video", "readable_id": "basic-trig-and-exponential-antiderivatives"}, {"translated_youtube_id": "sPPjk4aXzmQ", "relative_url": "/video/antiderivative-of-x--1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antiderivative-of-x--1", "duration": 455, "translated_title": "Antiderivative of x^-1", "translated_description_html": "", "id": "1328998382", "description_html": "", "title": "Antiderivative of x^-1", "progress_key": "v1328998382", "edit_slug": "edit/v/1328998382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/antiderivative-of-x--1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T16:58:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sPPjk4aXzmQ.mp4/sPPjk4aXzmQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sPPjk4aXzmQ.mp4/sPPjk4aXzmQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sPPjk4aXzmQ.m3u8/sPPjk4aXzmQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sPPjk4aXzmQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1328998382", "sha": "c36cf125b9eff387cd6a0ab3785fae32ec4c669f", "translated_description": "", "image_url": "https://img.youtube.com/vi/sPPjk4aXzmQ/hqdefault.jpg", "youtube_id": "sPPjk4aXzmQ", "content_kind": "Video", "readable_id": "antiderivative-of-x--1"}], "twitter_url": "", "translated_description": "You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. In other words, we'll be taking the anti-derivative!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. In other words, we'll be taking the anti-derivative!", "x_pos": 0.0, "node_slug": "indefinite_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe894bd39", "topic_page_url": "/math/calculus/integral-calculus/indefinite_integrals", "extended_slug": "math/calculus/integral-calculus/indefinite_integrals", "slug": "indefinite_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "7adf601792ab179ef963cd0b3cbfc18b3350d23b", "standalone_title": "Indefinite integral as anti-derivative", "y_pos": 0.0, "current_revision_key": "7adf601792ab179ef963cd0b3cbfc18b3350d23b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/riemann-sums", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/riemann-sums", "translated_standalone_title": "Riemann sums and definite integration", "translated_title": "Riemann sums and definite integration", "gplus_url": "", "id": "x7ae76dbb", "old_key_name": "8s_zLrzMl1FSZUHRV3J7-NY-NQkqIxUcDFsA99OB", "hide": false, "title": "Riemann sums and definite integration", "child_data": [{"kind": "Video", "id": 1319674060}, {"kind": "Video", "id": 1319350944}, {"kind": "Video", "id": 1319439886}, {"kind": "Video", "id": 1319516835}, {"kind": "Video", "id": 1319594360}], "children": [{"translated_youtube_id": "dEAk0BHBYCM", "relative_url": "/video/simple-riemann-approximation-using-rectangles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/simple-riemann-approximation-using-rectangles", "duration": 405, "translated_title": "Simple Riemann approximation using rectangles", "translated_description_html": "", "id": "1319674060", "description_html": "", "title": "Simple Riemann approximation using rectangles", "progress_key": "v1319674060", "edit_slug": "edit/v/1319674060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/simple-riemann-approximation-using-rectangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T22:41:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dEAk0BHBYCM.mp4/dEAk0BHBYCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dEAk0BHBYCM.mp4/dEAk0BHBYCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dEAk0BHBYCM.m3u8/dEAk0BHBYCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dEAk0BHBYCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319674060", "sha": "f641237c57cc39cebe793d9edf72678007669fed", "translated_description": "", "image_url": "https://img.youtube.com/vi/dEAk0BHBYCM/hqdefault.jpg", "youtube_id": "dEAk0BHBYCM", "content_kind": "Video", "readable_id": "simple-riemann-approximation-using-rectangles"}, {"translated_youtube_id": "ViqrHGae7FA", "relative_url": "/video/generalizing-a-left-riemann-sum-with-equally-spaced-rectangles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/generalizing-a-left-riemann-sum-with-equally-spaced-rectangles", "duration": 511, "translated_title": "Generalizing a left Riemann sum with equally spaced rectangles", "translated_description_html": "", "id": "1319350944", "description_html": "", "title": "Generalizing a left Riemann sum with equally spaced rectangles", "progress_key": "v1319350944", "edit_slug": "edit/v/1319350944", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/generalizing-a-left-riemann-sum-with-equally-spaced-rectangles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T22:42:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ViqrHGae7FA.mp4/ViqrHGae7FA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ViqrHGae7FA.mp4/ViqrHGae7FA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ViqrHGae7FA.m3u8/ViqrHGae7FA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ViqrHGae7FA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319350944", "sha": "26b7db8296bfbfce9ce95f14e244fa173715a847", "translated_description": "", "image_url": "https://img.youtube.com/vi/ViqrHGae7FA/hqdefault.jpg", "youtube_id": "ViqrHGae7FA", "content_kind": "Video", "readable_id": "generalizing-a-left-riemann-sum-with-equally-spaced-rectangles"}, {"translated_youtube_id": "naRUWPvsQbQ", "relative_url": "/video/rectangular-and-trapezoidal-riemann-approximations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rectangular-and-trapezoidal-riemann-approximations", "duration": 493, "translated_title": "Rectangular and trapezoidal Riemann approximations", "translated_description_html": "", "id": "1319439886", "description_html": "", "title": "Rectangular and trapezoidal Riemann approximations", "progress_key": "v1319439886", "edit_slug": "edit/v/1319439886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/rectangular-and-trapezoidal-riemann-approximations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-24T22:43:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/naRUWPvsQbQ.mp4/naRUWPvsQbQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/naRUWPvsQbQ.mp4/naRUWPvsQbQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/naRUWPvsQbQ.m3u8/naRUWPvsQbQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=naRUWPvsQbQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319439886", "sha": "1a9aab9d548677f5d0052ed5054cadbb32ecd23c", "translated_description": "", "image_url": "https://img.youtube.com/vi/naRUWPvsQbQ/hqdefault.jpg", "youtube_id": "naRUWPvsQbQ", "content_kind": "Video", "readable_id": "rectangular-and-trapezoidal-riemann-approximations"}, {"translated_youtube_id": "1p0NHR5w0Lc", "relative_url": "/video/trapezoidal-approximation-of-area-under-curve", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trapezoidal-approximation-of-area-under-curve", "duration": 507, "translated_title": "Trapezoidal approximation of area under curve", "translated_description_html": "", "id": "1319516835", "description_html": "", "title": "Trapezoidal approximation of area under curve", "progress_key": "v1319516835", "edit_slug": "edit/v/1319516835", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/trapezoidal-approximation-of-area-under-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T22:45:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1p0NHR5w0Lc.mp4/1p0NHR5w0Lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1p0NHR5w0Lc.mp4/1p0NHR5w0Lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1p0NHR5w0Lc.m3u8/1p0NHR5w0Lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1p0NHR5w0Lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319516835", "sha": "1a603b3390648002882ccf3aafd902edc8a7f75c", "translated_description": "", "image_url": "https://img.youtube.com/vi/1p0NHR5w0Lc/hqdefault.jpg", "youtube_id": "1p0NHR5w0Lc", "content_kind": "Video", "readable_id": "trapezoidal-approximation-of-area-under-curve"}, {"translated_youtube_id": "CXCtqBlEZ7g", "relative_url": "/video/riemann-sums-and-integrals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/riemann-sums-and-integrals", "duration": 266, "translated_title": "Riemann sums and integrals", "translated_description_html": "", "id": "1319594360", "description_html": "", "title": "Riemann sums and integrals", "progress_key": "v1319594360", "edit_slug": "edit/v/1319594360", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/riemann-sums-and-integrals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-24T22:48:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.mp4/CXCtqBlEZ7g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.mp4/CXCtqBlEZ7g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.m3u8/CXCtqBlEZ7g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CXCtqBlEZ7g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319594360", "sha": "4deb7cda707b0bc36fc3ad10c65a225c0814bbdf", "translated_description": "", "image_url": "https://img.youtube.com/vi/CXCtqBlEZ7g/hqdefault.jpg", "youtube_id": "CXCtqBlEZ7g", "content_kind": "Video", "readable_id": "riemann-sums-and-integrals"}], "twitter_url": "", "translated_description": "In this tutorial, we'll think about how we can find the area under a curve. We'll first approximate this with rectangles (and trapezoids)--generally called Riemann sums. We'll then think about find the exact area by having the number of rectangles approach infinity (they'll have infinitesimal widths) which we'll use the definite integral to denote.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll think about how we can find the area under a curve. We'll first approximate this with rectangles (and trapezoids)--generally called Riemann sums. We'll then think about find the exact area by having the number of rectangles approach infinity (they'll have infinitesimal widths) which we'll use the definite integral to denote.", "x_pos": 0.0, "node_slug": "riemann-sums", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ae76dbb", "topic_page_url": "/math/calculus/integral-calculus/riemann-sums", "extended_slug": "math/calculus/integral-calculus/riemann-sums", "slug": "riemann-sums", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "78303c6e43393c2bfe3b8736b36d65142b23ba74", "standalone_title": "Riemann sums and definite integration", "y_pos": 0.0, "current_revision_key": "78303c6e43393c2bfe3b8736b36d65142b23ba74", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/integration_by_parts", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/integration_by_parts", "translated_standalone_title": "Integration by parts", "translated_title": "Integration by parts", "gplus_url": "", "id": "x0a0b42c7", "old_key_name": "GqS45pNP76BPlRLy5U7WdB9ybSvkMyRL-jqjF_66", "hide": false, "title": "Integration by parts", "child_data": [{"kind": "Video", "id": 1329232699}, {"kind": "Video", "id": 1329293927}, {"kind": "Video", "id": 1377705570}, {"kind": "Video", "id": 1329248194}, {"kind": "Video", "id": 1369495388}], "children": [{"translated_youtube_id": "dh__n9FVKA0", "relative_url": "/video/deriving-integration-by-parts-formula", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/deriving-integration-by-parts-formula", "duration": 232, "translated_title": "Deriving integration by parts formula", "translated_description_html": "", "id": "1329232699", "description_html": "", "title": "Deriving integration by parts formula", "progress_key": "v1329232699", "edit_slug": "edit/v/1329232699", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/deriving-integration-by-parts-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-28T18:56:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dh__n9FVKA0.mp4/dh__n9FVKA0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dh__n9FVKA0.mp4/dh__n9FVKA0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dh__n9FVKA0.m3u8/dh__n9FVKA0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dh__n9FVKA0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1329232699", "sha": "84268e15bb85e8e7f424463852e7310ee29668d8", "translated_description": "", "image_url": "https://img.youtube.com/vi/dh__n9FVKA0/hqdefault.jpg", "youtube_id": "dh__n9FVKA0", "content_kind": "Video", "readable_id": "deriving-integration-by-parts-formula"}, {"translated_youtube_id": "bZ8YAHDTFJ8", "relative_url": "/video/antiderivative-of-xcosx-using-integration-by-parts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antiderivative-of-xcosx-using-integration-by-parts", "duration": 232, "translated_title": "Antiderivative of xcosx using integration by parts", "translated_description_html": "", "id": "1329293927", "description_html": "", "title": "Antiderivative of xcosx using integration by parts", "progress_key": "v1329293927", "edit_slug": "edit/v/1329293927", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/antiderivative-of-xcosx-using-integration-by-parts", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T18:56:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bZ8YAHDTFJ8.mp4/bZ8YAHDTFJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bZ8YAHDTFJ8.mp4/bZ8YAHDTFJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bZ8YAHDTFJ8.m3u8/bZ8YAHDTFJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bZ8YAHDTFJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1329293927", "sha": "14f29fc03ed44617e3f461a9c07b84f96d2ce0a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/bZ8YAHDTFJ8/hqdefault.jpg", "youtube_id": "bZ8YAHDTFJ8", "content_kind": "Video", "readable_id": "antiderivative-of-xcosx-using-integration-by-parts"}, {"translated_youtube_id": "iw5eLJV0Sj4", "relative_url": "/video/integral-of-ln-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/integral-of-ln-x", "duration": 230, "translated_title": "Integral of ln x", "translated_description_html": "", "id": "1377705570", "description_html": "", "title": "Integral of ln x", "progress_key": "v1377705570", "edit_slug": "edit/v/1377705570", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/integral-of-ln-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-13T22:46:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iw5eLJV0Sj4.mp4/iw5eLJV0Sj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iw5eLJV0Sj4.mp4/iw5eLJV0Sj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iw5eLJV0Sj4.m3u8/iw5eLJV0Sj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iw5eLJV0Sj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1377705570", "sha": "a090da5a71bf892e67625c32369574ccf40fc563", "translated_description": "", "image_url": "https://img.youtube.com/vi/iw5eLJV0Sj4/hqdefault.jpg", "youtube_id": "iw5eLJV0Sj4", "content_kind": "Video", "readable_id": "integral-of-ln-x"}, {"translated_youtube_id": "n-iEqLhGfd4", "relative_url": "/video/integration-by-parts-twice-for-antiderivative-of--x-2--e-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/integration-by-parts-twice-for-antiderivative-of--x-2--e-x", "duration": 406, "translated_title": "Integration by parts twice for antiderivative of (x^2)(e^x)", "translated_description_html": "", "id": "1329248194", "description_html": "", "title": "Integration by parts twice for antiderivative of (x^2)(e^x)", "progress_key": "v1329248194", "edit_slug": "edit/v/1329248194", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/integration-by-parts-twice-for-antiderivative-of--x-2--e-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T18:57:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n-iEqLhGfd4.mp4/n-iEqLhGfd4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n-iEqLhGfd4.mp4/n-iEqLhGfd4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n-iEqLhGfd4.m3u8/n-iEqLhGfd4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n-iEqLhGfd4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1329248194", "sha": "e4e64ca25d611564fbf941a1c88620fa04688d89", "translated_description": "", "image_url": "https://img.youtube.com/vi/n-iEqLhGfd4/hqdefault.jpg", "youtube_id": "n-iEqLhGfd4", "content_kind": "Video", "readable_id": "integration-by-parts-twice-for-antiderivative-of--x-2--e-x"}, {"translated_youtube_id": "LJqNdG6Y2cM", "relative_url": "/video/integration-by-parts-of--e-x--cos-x-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/integration-by-parts-of--e-x--cos-x-1", "duration": 437, "translated_title": "Integration by parts of (e^x)(cos x)", "translated_description_html": "", "id": "1369495388", "description_html": "", "title": "Integration by parts of (e^x)(cos x)", "progress_key": "v1369495388", "edit_slug": "edit/v/1369495388", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/integration-by-parts-of--e-x--cos-x-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-11T16:33:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LJqNdG6Y2cM.mp4/LJqNdG6Y2cM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LJqNdG6Y2cM.mp4/LJqNdG6Y2cM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LJqNdG6Y2cM.m3u8/LJqNdG6Y2cM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LJqNdG6Y2cM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1369495388", "sha": "cec1d9c0d2ac47e364874b03a57cd6a2950b766c", "translated_description": "", "image_url": "https://img.youtube.com/vi/LJqNdG6Y2cM/hqdefault.jpg", "youtube_id": "LJqNdG6Y2cM", "content_kind": "Video", "readable_id": "integration-by-parts-of--e-x--cos-x-1"}], "twitter_url": "", "translated_description": "When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule. In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule. In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.", "x_pos": 0.0, "node_slug": "integration_by_parts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a0b42c7", "topic_page_url": "/math/calculus/integral-calculus/integration_by_parts", "extended_slug": "math/calculus/integral-calculus/integration_by_parts", "slug": "integration_by_parts", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bb023eb96741a000f58ead025709dd199b34985e", "standalone_title": "Integration by parts", "y_pos": 0.0, "current_revision_key": "bb023eb96741a000f58ead025709dd199b34985e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/u_substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/u_substitution", "translated_standalone_title": "U-substitution", "translated_title": "u-substitution", "gplus_url": "", "id": "xcb8f620d", "old_key_name": "vM0abOe9LSid_6KVFcToPCty2NJ06wDYqm3idl2L", "hide": false, "title": "u-substitution", "child_data": [{"kind": "Video", "id": 1254417751}, {"kind": "Video", "id": 1254490089}, {"kind": "Video", "id": 1254165861}, {"kind": "Video", "id": 1254468209}, {"kind": "Video", "id": 1254240553}, {"kind": "Video", "id": 1254533049}, {"kind": "Video", "id": 1254393002}, {"kind": "Video", "id": 24306}, {"kind": "Video", "id": 24194}], "children": [{"translated_youtube_id": "b76wePnIBdU", "relative_url": "/video/u-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution", "duration": 311, "translated_title": "u-substitution", "translated_description_html": "Using U-substitution to find the anti-derivative of a function. Seeing that U-substitution is the inverse of the chain rule.", "id": "1254417751", "description_html": "Using U-substitution to find the anti-derivative of a function. Seeing that U-substitution is the inverse of the chain rule.", "title": "u-substitution", "progress_key": "v1254417751", "edit_slug": "edit/v/1254417751", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using U-substitution to find the anti-derivative of a function. Seeing that U-substitution is the inverse of the chain rule.", "extra_properties": null, "node_slug": "v/u-substitution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-28T22:29:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.mp4/b76wePnIBdU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.mp4/b76wePnIBdU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.m3u8/b76wePnIBdU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b76wePnIBdU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254417751", "sha": "82f83deb0745c23179b42612632d6a8a76c5df89", "translated_description": "Using U-substitution to find the anti-derivative of a function. Seeing that U-substitution is the inverse of the chain rule.", "image_url": "https://img.youtube.com/vi/b76wePnIBdU/hqdefault.jpg", "youtube_id": "b76wePnIBdU", "content_kind": "Video", "readable_id": "u-substitution"}, {"translated_youtube_id": "Zp5z0wa0kgo", "relative_url": "/video/u-substitution-example-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution-example-2", "duration": 244, "translated_title": "u-substitution example 2", "translated_description_html": "Another example of using U-subsitution", "id": "1254490089", "description_html": "Another example of using U-subsitution", "title": "u-substitution example 2", "progress_key": "v1254490089", "edit_slug": "edit/v/1254490089", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of using U-subsitution", "extra_properties": null, "node_slug": "v/u-substitution-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-12-28T22:29:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.mp4/Zp5z0wa0kgo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.mp4/Zp5z0wa0kgo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.m3u8/Zp5z0wa0kgo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zp5z0wa0kgo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254490089", "sha": "6007244933c013425133e0b6de7d8c418581042a", "translated_description": "Another example of using U-subsitution", "image_url": "https://img.youtube.com/vi/Zp5z0wa0kgo/hqdefault.jpg", "youtube_id": "Zp5z0wa0kgo", "content_kind": "Video", "readable_id": "u-substitution-example-2"}, {"translated_youtube_id": "oqCfqIcbE10", "relative_url": "/video/u-substitution-example-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution-example-3", "duration": 333, "translated_title": "u-substitution example 3", "translated_description_html": "Manipulating the expression to make u-substitution a little more obvious.", "id": "1254165861", "description_html": "Manipulating the expression to make u-substitution a little more obvious.", "title": "u-substitution example 3", "progress_key": "v1254165861", "edit_slug": "edit/v/1254165861", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Manipulating the expression to make u-substitution a little more obvious.", "extra_properties": null, "node_slug": "v/u-substitution-example-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-28T22:30:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.mp4/oqCfqIcbE10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.mp4/oqCfqIcbE10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.m3u8/oqCfqIcbE10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqCfqIcbE10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254165861", "sha": "677586c2e6a5fac3b72cf6c0dc0b6cdfdb4c7fff", "translated_description": "Manipulating the expression to make u-substitution a little more obvious.", "image_url": "https://img.youtube.com/vi/oqCfqIcbE10/hqdefault.jpg", "youtube_id": "oqCfqIcbE10", "content_kind": "Video", "readable_id": "u-substitution-example-3"}, {"translated_youtube_id": "OLO64d4Y1qI", "relative_url": "/video/u-substitution-with-ln-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution-with-ln-x", "duration": 219, "translated_title": "u-substitution with ln(x)", "translated_description_html": "Doing u-substitution with ln(x)", "id": "1254468209", "description_html": "Doing u-substitution with ln(x)", "title": "u-substitution with ln(x)", "progress_key": "v1254468209", "edit_slug": "edit/v/1254468209", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Doing u-substitution with ln(x)", "extra_properties": null, "node_slug": "v/u-substitution-with-ln-x", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-28T22:31:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OLO64d4Y1qI.mp4/OLO64d4Y1qI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OLO64d4Y1qI.mp4/OLO64d4Y1qI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OLO64d4Y1qI.m3u8/OLO64d4Y1qI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OLO64d4Y1qI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254468209", "sha": "7aac21cab4717a7500dbca98266eeb0f59a4aead", "translated_description": "Doing u-substitution with ln(x)", "image_url": "https://img.youtube.com/vi/OLO64d4Y1qI/hqdefault.jpg", "youtube_id": "OLO64d4Y1qI", "content_kind": "Video", "readable_id": "u-substitution-with-ln-x"}, {"translated_youtube_id": "ShpI3gPgLBA", "relative_url": "/video/doing-u-substitution-twice--second-time-with-w", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/doing-u-substitution-twice--second-time-with-w", "duration": 537, "translated_title": "Doing u-substitution twice (second time with w)", "translated_description_html": "Example where we do substitution twice to get the integral into a reasonable form", "id": "1254240553", "description_html": "Example where we do substitution twice to get the integral into a reasonable form", "title": "Doing u-substitution twice (second time with w)", "progress_key": "v1254240553", "edit_slug": "edit/v/1254240553", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example where we do substitution twice to get the integral into a reasonable form", "extra_properties": null, "node_slug": "v/doing-u-substitution-twice--second-time-with-w", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-28T22:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ShpI3gPgLBA.mp4/ShpI3gPgLBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ShpI3gPgLBA.mp4/ShpI3gPgLBA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ShpI3gPgLBA.m3u8/ShpI3gPgLBA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ShpI3gPgLBA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254240553", "sha": "ce1d42748e7c1037808600d4c6ad4b0cb8884ab6", "translated_description": "Example where we do substitution twice to get the integral into a reasonable form", "image_url": "https://img.youtube.com/vi/ShpI3gPgLBA/hqdefault.jpg", "youtube_id": "ShpI3gPgLBA", "content_kind": "Video", "readable_id": "doing-u-substitution-twice--second-time-with-w"}, {"translated_youtube_id": "J-NC1M6obKo", "relative_url": "/video/u-substitution-and-back-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution-and-back-substitution", "duration": 301, "translated_title": "u-substitution and back substitution", "translated_description_html": "Using u-substitution and \"back substituting\" for x to simplify an expression", "id": "1254533049", "description_html": "Using u-substitution and \"back substituting\" for x to simplify an expression", "title": "u-substitution and back substitution", "progress_key": "v1254533049", "edit_slug": "edit/v/1254533049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using u-substitution and \"back substituting\" for x to simplify an expression", "extra_properties": null, "node_slug": "v/u-substitution-and-back-substitution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-28T22:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J-NC1M6obKo.mp4/J-NC1M6obKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J-NC1M6obKo.mp4/J-NC1M6obKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J-NC1M6obKo.m3u8/J-NC1M6obKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J-NC1M6obKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254533049", "sha": "d49797ff37471bba7a2720c04c040089b55871c3", "translated_description": "Using u-substitution and \"back substituting\" for x to simplify an expression", "image_url": "https://img.youtube.com/vi/J-NC1M6obKo/hqdefault.jpg", "youtube_id": "J-NC1M6obKo", "content_kind": "Video", "readable_id": "u-substitution-and-back-substitution"}, {"translated_youtube_id": "7hCsQOKOYS8", "relative_url": "/video/u-substitution-with-definite-integral", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/u-substitution-with-definite-integral", "duration": 339, "translated_title": "u-substitution with definite integral", "translated_description_html": "Example of using u-substitution to evaluate a definite integral", "id": "1254393002", "description_html": "Example of using u-substitution to evaluate a definite integral", "title": "u-substitution with definite integral", "progress_key": "v1254393002", "edit_slug": "edit/v/1254393002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of using u-substitution to evaluate a definite integral", "extra_properties": null, "node_slug": "v/u-substitution-with-definite-integral", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-28T22:34:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7hCsQOKOYS8.mp4/7hCsQOKOYS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7hCsQOKOYS8.mp4/7hCsQOKOYS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7hCsQOKOYS8.m3u8/7hCsQOKOYS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7hCsQOKOYS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254393002", "sha": "59cf92e900c68284ed1e99bcd5805704fb09acd8", "translated_description": "Example of using u-substitution to evaluate a definite integral", "image_url": "https://img.youtube.com/vi/7hCsQOKOYS8/hqdefault.jpg", "youtube_id": "7hCsQOKOYS8", "content_kind": "Video", "readable_id": "u-substitution-with-definite-integral"}, {"translated_youtube_id": "C5Lbjbyr1t4", "relative_url": "/video/2-ln-x--x--antiderivative-example", "has_questions": false, "keywords": "integral, antiderivative, lnx", "ka_url": "http://www.khanacademy.org/video/2-ln-x--x--antiderivative-example", "duration": 520, "translated_title": "(2^(ln x))/x antiderivative example", "translated_description_html": "Finding ∫(2^ln x)/x dx", "id": "24306", "description_html": "Finding ∫(2^ln x)/x dx", "title": "(2^(ln x))/x antiderivative example", "progress_key": "v24306", "edit_slug": "edit/v/24306", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding ∫(2^ln x)/x dx", "extra_properties": null, "node_slug": "v/2-ln-x--x--antiderivative-example", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C5Lbjbyr1t4.mp4/C5Lbjbyr1t4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C5Lbjbyr1t4.mp4/C5Lbjbyr1t4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C5Lbjbyr1t4.m3u8/C5Lbjbyr1t4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C5Lbjbyr1t4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24306", "sha": "76b80ff5b1bc49b2f413b66769e629a6987c4a29", "translated_description": "Finding ∫(2^ln x)/x dx", "image_url": "https://img.youtube.com/vi/C5Lbjbyr1t4/hqdefault.jpg", "youtube_id": "C5Lbjbyr1t4", "content_kind": "Video", "readable_id": "2-ln-x--x--antiderivative-example"}, {"translated_youtube_id": "IAbSeAk5RJU", "relative_url": "/video/another-u-subsitution-example", "has_questions": false, "keywords": "calculus, trigonomometry, u-substituion, integration", "ka_url": "http://www.khanacademy.org/video/another-u-subsitution-example", "duration": 357, "translated_title": "Another u-substitution example", "translated_description_html": "Finding the antiderivative using u-substitution.", "id": "24194", "description_html": "Finding the antiderivative using u-substitution.", "title": "Another u-substitution example", "progress_key": "v24194", "edit_slug": "edit/v/24194", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the antiderivative using u-substitution.", "extra_properties": null, "node_slug": "v/another-u-subsitution-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IAbSeAk5RJU.mp4/IAbSeAk5RJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IAbSeAk5RJU.mp4/IAbSeAk5RJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IAbSeAk5RJU.m3u8/IAbSeAk5RJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IAbSeAk5RJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24194", "sha": "64c4aecb3225bc52a0a58be3f91ff704a0bd55ac", "translated_description": "Finding the antiderivative using u-substitution.", "image_url": "https://img.youtube.com/vi/IAbSeAk5RJU/hqdefault.jpg", "youtube_id": "IAbSeAk5RJU", "content_kind": "Video", "readable_id": "another-u-subsitution-example"}], "twitter_url": "", "translated_description": "U-substitution is a must-have tool for any integrating arsenal (tools aren't normally put in arsenals, but that sounds better than toolkit). It is essentially the reverise chain rule. U-substitution is very useful for any integral where an expression is of the form g(f(x))f'(x)(and a few other cases). Over time, you'll be able to do these in your head without necessarily even explicitly substituting. \n\nWhy the letter \"u\"? Well, it could have been anything, but this is the convention. I guess why not the letter \"u\" :)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "U-substitution is a must-have tool for any integrating arsenal (tools aren't normally put in arsenals, but that sounds better than toolkit). It is essentially the reverise chain rule. U-substitution is very useful for any integral where an expression is of the form g(f(x))f'(x)(and a few other cases). Over time, you'll be able to do these in your head without necessarily even explicitly substituting. \n\nWhy the letter \"u\"? Well, it could have been anything, but this is the convention. I guess why not the letter \"u\" :)", "x_pos": 0.0, "node_slug": "u_substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcb8f620d", "topic_page_url": "/math/calculus/integral-calculus/u_substitution", "extended_slug": "math/calculus/integral-calculus/u_substitution", "slug": "u_substitution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ffb62eccca32ae05341e092aae879f7f65c86edc", "standalone_title": "U-substitution", "y_pos": 0.0, "current_revision_key": "ffb62eccca32ae05341e092aae879f7f65c86edc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/definite_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/definite_integrals", "translated_standalone_title": "Definite integrals", "translated_title": "Definite integrals", "gplus_url": "", "id": "xf4069f98", "old_key_name": "8nwySdm6xX4NmrOdkBJvicYs32KVbN_4gZaf2d4y", "hide": false, "title": "Definite integrals", "child_data": [{"kind": "Video", "id": 1319594360}, {"kind": "Video", "id": 1319534849}, {"kind": "Video", "id": 1319502914}, {"kind": "Video", "id": 1329076337}, {"kind": "Video", "id": 1337260457}, {"kind": "Video", "id": 1337371091}, {"kind": "Video", "id": 8187414}, {"kind": "Separator", "id": "_separator"}, {"kind": "Video", "id": 24196}, {"kind": "Video", "id": 24198}, {"kind": "Video", "id": 24200}, {"kind": "Video", "id": 24202}, {"kind": "Video", "id": 24204}, {"kind": "Video", "id": 24206}], "children": [{"translated_youtube_id": "CXCtqBlEZ7g", "relative_url": "/video/riemann-sums-and-integrals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/riemann-sums-and-integrals", "duration": 266, "translated_title": "Riemann sums and integrals", "translated_description_html": "", "id": "1319594360", "description_html": "", "title": "Riemann sums and integrals", "progress_key": "v1319594360", "edit_slug": "edit/v/1319594360", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/riemann-sums-and-integrals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-24T22:48:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.mp4/CXCtqBlEZ7g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.mp4/CXCtqBlEZ7g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CXCtqBlEZ7g.m3u8/CXCtqBlEZ7g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CXCtqBlEZ7g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319594360", "sha": "4deb7cda707b0bc36fc3ad10c65a225c0814bbdf", "translated_description": "", "image_url": "https://img.youtube.com/vi/CXCtqBlEZ7g/hqdefault.jpg", "youtube_id": "CXCtqBlEZ7g", "content_kind": "Video", "readable_id": "riemann-sums-and-integrals"}, {"translated_youtube_id": "Cz_GWNdf_68", "relative_url": "/video/intuition-for-second-fundamental-theorem-of-calculus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intuition-for-second-fundamental-theorem-of-calculus", "duration": 744, "translated_title": "Intuition for second fundamental theorem of calculus", "translated_description_html": "", "id": "1319534849", "description_html": "", "title": "Intuition for second fundamental theorem of calculus", "progress_key": "v1319534849", "edit_slug": "edit/v/1319534849", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/intuition-for-second-fundamental-theorem-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-24T22:47:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cz_GWNdf_68.mp4/Cz_GWNdf_68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cz_GWNdf_68.mp4/Cz_GWNdf_68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cz_GWNdf_68.m3u8/Cz_GWNdf_68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Cz_GWNdf_68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319534849", "sha": "2ddbaeea9cb0e16f5923e146a0648cc0f3c90ab7", "translated_description": "", "image_url": "https://img.youtube.com/vi/Cz_GWNdf_68/hqdefault.jpg", "youtube_id": "Cz_GWNdf_68", "content_kind": "Video", "readable_id": "intuition-for-second-fundamental-theorem-of-calculus"}, {"translated_youtube_id": "xR4AnXDBnsw", "relative_url": "/video/evaluating-simple-definite-integral", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-simple-definite-integral", "duration": 354, "translated_title": "Evaluating simple definite integral", "translated_description_html": "", "id": "1319502914", "description_html": "", "title": "Evaluating simple definite integral", "progress_key": "v1319502914", "edit_slug": "edit/v/1319502914", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/evaluating-simple-definite-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-24T23:34:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xR4AnXDBnsw.mp4/xR4AnXDBnsw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xR4AnXDBnsw.mp4/xR4AnXDBnsw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xR4AnXDBnsw.m3u8/xR4AnXDBnsw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xR4AnXDBnsw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1319502914", "sha": "e4295ea3ec0f9db6d5bee35da6709f1dabbef24d", "translated_description": "", "image_url": "https://img.youtube.com/vi/xR4AnXDBnsw/hqdefault.jpg", "youtube_id": "xR4AnXDBnsw", "content_kind": "Video", "readable_id": "evaluating-simple-definite-integral"}, {"translated_youtube_id": "MM0FTzvedH4", "relative_url": "/video/definite-integrals-and-negative-area", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/definite-integrals-and-negative-area", "duration": 448, "translated_title": "Definite integrals and negative area", "translated_description_html": "", "id": "1329076337", "description_html": "", "title": "Definite integrals and negative area", "progress_key": "v1329076337", "edit_slug": "edit/v/1329076337", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/definite-integrals-and-negative-area", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T16:59:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MM0FTzvedH4.mp4/MM0FTzvedH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MM0FTzvedH4.mp4/MM0FTzvedH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MM0FTzvedH4.m3u8/MM0FTzvedH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MM0FTzvedH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1329076337", "sha": "bae0c1a5df02179aafc64a15e0d31ec2e9f0cc69", "translated_description": "", "image_url": "https://img.youtube.com/vi/MM0FTzvedH4/hqdefault.jpg", "youtube_id": "MM0FTzvedH4", "content_kind": "Video", "readable_id": "definite-integrals-and-negative-area"}, {"translated_youtube_id": "4bZyfvKazzQ", "relative_url": "/video/area-between-curves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-between-curves", "duration": 249, "translated_title": "Area between curves", "translated_description_html": "", "id": "1337260457", "description_html": "", "title": "Area between curves", "progress_key": "v1337260457", "edit_slug": "edit/v/1337260457", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/area-between-curves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-31T02:23:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4bZyfvKazzQ.mp4/4bZyfvKazzQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4bZyfvKazzQ.mp4/4bZyfvKazzQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4bZyfvKazzQ.m3u8/4bZyfvKazzQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4bZyfvKazzQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337260457", "sha": "5e3816c615daf7061c2d46cf6a3bf634d5e07f5e", "translated_description": "", "image_url": "https://img.youtube.com/vi/4bZyfvKazzQ/hqdefault.jpg", "youtube_id": "4bZyfvKazzQ", "content_kind": "Video", "readable_id": "area-between-curves"}, {"translated_youtube_id": "LbTH7MGMNjk", "relative_url": "/video/area-between-curves-with-multiple-boundaries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/area-between-curves-with-multiple-boundaries", "duration": 414, "translated_title": "Area between curves with multiple boundaries", "translated_description_html": "", "id": "1337371091", "description_html": "", "title": "Area between curves with multiple boundaries", "progress_key": "v1337371091", "edit_slug": "edit/v/1337371091", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/area-between-curves-with-multiple-boundaries", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T02:22:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LbTH7MGMNjk.mp4/LbTH7MGMNjk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LbTH7MGMNjk.mp4/LbTH7MGMNjk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LbTH7MGMNjk.m3u8/LbTH7MGMNjk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LbTH7MGMNjk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1337371091", "sha": "614a017b70b322a13e3b250d9afbf146d932f90b", "translated_description": "", "image_url": "https://img.youtube.com/vi/LbTH7MGMNjk/hqdefault.jpg", "youtube_id": "LbTH7MGMNjk", "content_kind": "Video", "readable_id": "area-between-curves-with-multiple-boundaries"}, {"translated_youtube_id": "CZdziIlYIfI", "relative_url": "/video/periodic-definite-integral", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 52, Periodic, Definite, Integral, integration, by, parts", "ka_url": "http://www.khanacademy.org/video/periodic-definite-integral", "duration": 943, "translated_title": "Challenging definite integration", "translated_description_html": "2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!", "id": "8187414", "description_html": "2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!", "title": "Challenging definite integration", "progress_key": "v8187414", "edit_slug": "edit/v/8187414", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!", "extra_properties": null, "node_slug": "v/periodic-definite-integral", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CZdziIlYIfI.mp4/CZdziIlYIfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CZdziIlYIfI.mp4/CZdziIlYIfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CZdziIlYIfI.m3u8/CZdziIlYIfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CZdziIlYIfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187414", "sha": "b93ceabb969b392988e1e90876aefde04d34beab", "translated_description": "2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!", "image_url": "https://img.youtube.com/vi/CZdziIlYIfI/hqdefault.jpg", "youtube_id": "CZdziIlYIfI", "content_kind": "Video", "readable_id": "periodic-definite-integral"}, {"translated_youtube_id": "0RdI3-8G4Fs", "relative_url": "/video/introduction-to-definite-integrals", "has_questions": false, "keywords": "calculus, integral, area, distance, velocity, khan, CC_39336_F-IF_7", "ka_url": "http://www.khanacademy.org/video/introduction-to-definite-integrals", "duration": 558, "translated_title": "Introduction to definite integrals", "translated_description_html": "Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.", "id": "24196", "description_html": "Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.", "title": "Introduction to definite integrals", "progress_key": "v24196", "edit_slug": "edit/v/24196", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.", "extra_properties": null, "node_slug": "v/introduction-to-definite-integrals", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0RdI3-8G4Fs.mp4/0RdI3-8G4Fs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0RdI3-8G4Fs.mp4/0RdI3-8G4Fs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0RdI3-8G4Fs.m3u8/0RdI3-8G4Fs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0RdI3-8G4Fs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24196", "sha": "cd42a0ce346201f566dbae4c6b62a9bef6750d66", "translated_description": "Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.", "image_url": "https://img.youtube.com/vi/0RdI3-8G4Fs/hqdefault.jpg", "youtube_id": "0RdI3-8G4Fs", "content_kind": "Video", "readable_id": "introduction-to-definite-integrals"}, {"translated_youtube_id": "6PaFm_Je5A0", "relative_url": "/video/definite-integrals--part-ii", "has_questions": false, "keywords": "calculus, derivative, integral, area, khan", "ka_url": "http://www.khanacademy.org/video/definite-integrals--part-ii", "duration": 555, "translated_title": "Definite integrals (part 2)", "translated_description_html": "More on why the antiderivative and the area under a curve are essentially the same thing.", "id": "24198", "description_html": "More on why the antiderivative and the area under a curve are essentially the same thing.", "title": "Definite integrals (part 2)", "progress_key": "v24198", "edit_slug": "edit/v/24198", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on why the antiderivative and the area under a curve are essentially the same thing.", "extra_properties": null, "node_slug": "v/definite-integrals--part-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6PaFm_Je5A0.mp4/6PaFm_Je5A0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6PaFm_Je5A0.mp4/6PaFm_Je5A0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6PaFm_Je5A0.m3u8/6PaFm_Je5A0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6PaFm_Je5A0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24198", "sha": "03fef5159b69aa46fa650ff8005563f3f880f178", "translated_description": "More on why the antiderivative and the area under a curve are essentially the same thing.", "image_url": "https://img.youtube.com/vi/6PaFm_Je5A0/hqdefault.jpg", "youtube_id": "6PaFm_Je5A0", "content_kind": "Video", "readable_id": "definite-integrals--part-ii"}, {"translated_youtube_id": "7wUHJ7JQ-gs", "relative_url": "/video/definite-integrals--area-under-a-curve---part-iii", "has_questions": false, "keywords": "calculus, khan, integral, derivative, area, curve", "ka_url": "http://www.khanacademy.org/video/definite-integrals--area-under-a-curve---part-iii", "duration": 585, "translated_title": "Definite integrals (area under a curve) (part 3)", "translated_description_html": "More on why the antiderivative and the area under a curve are essentially the same thing.", "id": "24200", "description_html": "More on why the antiderivative and the area under a curve are essentially the same thing.", "title": "Definite integrals (area under a curve) (part 3)", "progress_key": "v24200", "edit_slug": "edit/v/24200", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on why the antiderivative and the area under a curve are essentially the same thing.", "extra_properties": null, "node_slug": "v/definite-integrals--area-under-a-curve---part-iii", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7wUHJ7JQ-gs.mp4/7wUHJ7JQ-gs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7wUHJ7JQ-gs.mp4/7wUHJ7JQ-gs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7wUHJ7JQ-gs.m3u8/7wUHJ7JQ-gs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7wUHJ7JQ-gs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24200", "sha": "e82cedb2d81fb15a375075e609be701b017789ae", "translated_description": "More on why the antiderivative and the area under a curve are essentially the same thing.", "image_url": "https://img.youtube.com/vi/7wUHJ7JQ-gs/hqdefault.jpg", "youtube_id": "7wUHJ7JQ-gs", "content_kind": "Video", "readable_id": "definite-integrals--area-under-a-curve---part-iii"}, {"translated_youtube_id": "11Bt6OhIeqA", "relative_url": "/video/definite-integrals--part-4", "has_questions": false, "keywords": "calculus, area, integral, math, khan, academy", "ka_url": "http://www.khanacademy.org/video/definite-integrals--part-4", "duration": 591, "translated_title": "Definite integrals (part 4)", "translated_description_html": "Examples of using definite integrals to find the area under a curve", "id": "24202", "description_html": "Examples of using definite integrals to find the area under a curve", "title": "Definite integrals (part 4)", "progress_key": "v24202", "edit_slug": "edit/v/24202", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Examples of using definite integrals to find the area under a curve", "extra_properties": null, "node_slug": "v/definite-integrals--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/11Bt6OhIeqA.mp4/11Bt6OhIeqA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/11Bt6OhIeqA.mp4/11Bt6OhIeqA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/11Bt6OhIeqA.m3u8/11Bt6OhIeqA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=11Bt6OhIeqA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24202", "sha": "a7bf0988fe22d94e76d8221d3316e9b95d7bfa6c", "translated_description": "Examples of using definite integrals to find the area under a curve", "image_url": "https://img.youtube.com/vi/11Bt6OhIeqA/hqdefault.jpg", "youtube_id": "11Bt6OhIeqA", "content_kind": "Video", "readable_id": "definite-integrals--part-4"}, {"translated_youtube_id": "CmXmRNFrtFw", "relative_url": "/video/definite-integrals--part-5", "has_questions": false, "keywords": "calculus, area, integral, math, khanacademy", "ka_url": "http://www.khanacademy.org/video/definite-integrals--part-5", "duration": 597, "translated_title": "Definite integrals (part 5)", "translated_description_html": "More examples of using definite integrals to calculate the area between curves", "id": "24204", "description_html": "More examples of using definite integrals to calculate the area between curves", "title": "Definite integrals (part 5)", "progress_key": "v24204", "edit_slug": "edit/v/24204", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples of using definite integrals to calculate the area between curves", "extra_properties": null, "node_slug": "v/definite-integrals--part-5", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CmXmRNFrtFw.mp4/CmXmRNFrtFw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CmXmRNFrtFw.mp4/CmXmRNFrtFw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CmXmRNFrtFw.m3u8/CmXmRNFrtFw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CmXmRNFrtFw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24204", "sha": "0db149060eb988ea9c490d307885bc726dd2e5b9", "translated_description": "More examples of using definite integrals to calculate the area between curves", "image_url": "https://img.youtube.com/vi/CmXmRNFrtFw/hqdefault.jpg", "youtube_id": "CmXmRNFrtFw", "content_kind": "Video", "readable_id": "definite-integrals--part-5"}, {"translated_youtube_id": "CbUx0S8BCtA", "relative_url": "/video/definite-integral-with-substitution", "has_questions": false, "keywords": "integral, area, substitution, calculus", "ka_url": "http://www.khanacademy.org/video/definite-integral-with-substitution", "duration": 534, "translated_title": "Definite integral with substitution", "translated_description_html": "Solving a definite integral with substitution (or the reverse chain rule)", "id": "24206", "description_html": "Solving a definite integral with substitution (or the reverse chain rule)", "title": "Definite integral with substitution", "progress_key": "v24206", "edit_slug": "edit/v/24206", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving a definite integral with substitution (or the reverse chain rule)", "extra_properties": null, "node_slug": "v/definite-integral-with-substitution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CbUx0S8BCtA.mp4/CbUx0S8BCtA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CbUx0S8BCtA.mp4/CbUx0S8BCtA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CbUx0S8BCtA.m3u8/CbUx0S8BCtA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CbUx0S8BCtA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24206", "sha": "60eea811628ee469d39d9a3236b4536729222a91", "translated_description": "Solving a definite integral with substitution (or the reverse chain rule)", "image_url": "https://img.youtube.com/vi/CbUx0S8BCtA/hqdefault.jpg", "youtube_id": "CbUx0S8BCtA", "content_kind": "Video", "readable_id": "definite-integral-with-substitution"}], "twitter_url": "", "translated_description": "Until now, we have been viewing integrals as anti-derivatives. Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries). This is the real meat of integral calculus!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Until now, we have been viewing integrals as anti-derivatives. Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries). This is the real meat of integral calculus!", "x_pos": 0.0, "node_slug": "definite_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf4069f98", "topic_page_url": "/math/calculus/integral-calculus/definite_integrals", "extended_slug": "math/calculus/integral-calculus/definite_integrals", "slug": "definite_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3253e7511d483b46c82eb7e7e43d36f625d327d4", "standalone_title": "Definite integrals", "y_pos": 0.0, "current_revision_key": "3253e7511d483b46c82eb7e7e43d36f625d327d4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/trig_substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/trig_substitution", "translated_standalone_title": "Trig substitution", "translated_title": "Trigonometric substitution", "gplus_url": "", "id": "x7f217d54", "old_key_name": "veUMJDZ37zQkKWu8SQcgKxUKPyyBFCCzNfLEjLWV", "hide": false, "title": "Trigonometric substitution", "child_data": [{"kind": "Video", "id": 1373019839}, {"kind": "Video", "id": 1373246393}, {"kind": "Video", "id": 24208}, {"kind": "Video", "id": 1373141693}, {"kind": "Video", "id": 1373336307}, {"kind": "Video", "id": 1373225524}, {"kind": "Video", "id": 24210}, {"kind": "Video", "id": 24212}], "children": [{"translated_youtube_id": "sbbajrCSEeg", "relative_url": "/video/introduction-to-trig-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-trig-substitution", "duration": 435, "translated_title": "Introduction to trig substitution", "translated_description_html": "", "id": "1373019839", "description_html": "", "title": "Introduction to trig substitution", "progress_key": "v1373019839", "edit_slug": "edit/v/1373019839", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-trig-substitution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-12T17:55:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sbbajrCSEeg.mp4/sbbajrCSEeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sbbajrCSEeg.mp4/sbbajrCSEeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sbbajrCSEeg.m3u8/sbbajrCSEeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sbbajrCSEeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1373019839", "sha": "e5a22ce0c98e8de448d0363a1a6512fc97da7a85", "translated_description": "", "image_url": "https://img.youtube.com/vi/sbbajrCSEeg/hqdefault.jpg", "youtube_id": "sbbajrCSEeg", "content_kind": "Video", "readable_id": "introduction-to-trig-substitution"}, {"translated_youtube_id": "8Yl_u_Otcjg", "relative_url": "/video/another-substitution-with-x-sin--theta", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/another-substitution-with-x-sin--theta", "duration": 308, "translated_title": "Another substitution with x=sin (theta)", "translated_description_html": "", "id": "1373246393", "description_html": "", "title": "Another substitution with x=sin (theta)", "progress_key": "v1373246393", "edit_slug": "edit/v/1373246393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/another-substitution-with-x-sin--theta", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-12T17:58:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Yl_u_Otcjg.mp4/8Yl_u_Otcjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Yl_u_Otcjg.mp4/8Yl_u_Otcjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Yl_u_Otcjg.m3u8/8Yl_u_Otcjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Yl_u_Otcjg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1373246393", "sha": "b74c8491d42100f9f515aa261a25afccce4ac2d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/8Yl_u_Otcjg/hqdefault.jpg", "youtube_id": "8Yl_u_Otcjg", "content_kind": "Video", "readable_id": "another-substitution-with-x-sin--theta"}, {"translated_youtube_id": "n4EK92CSuBE", "relative_url": "/video/integrals--trig-substitution-1", "has_questions": false, "keywords": "calculus, trig, substitution", "ka_url": "http://www.khanacademy.org/video/integrals--trig-substitution-1", "duration": 458, "translated_title": "Integrals: Trig substitution 1", "translated_description_html": "Example of using trig substitution to solve an indefinite integral", "id": "24208", "description_html": "Example of using trig substitution to solve an indefinite integral", "title": "Integrals: Trig substitution 1", "progress_key": "v24208", "edit_slug": "edit/v/24208", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of using trig substitution to solve an indefinite integral", "extra_properties": null, "node_slug": "v/integrals--trig-substitution-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n4EK92CSuBE.mp4/n4EK92CSuBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n4EK92CSuBE.mp4/n4EK92CSuBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n4EK92CSuBE.m3u8/n4EK92CSuBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n4EK92CSuBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24208", "sha": "c1617191da0c2b1a21813f32005d4b84eecd0bb6", "translated_description": "Example of using trig substitution to solve an indefinite integral", "image_url": "https://img.youtube.com/vi/n4EK92CSuBE/hqdefault.jpg", "youtube_id": "n4EK92CSuBE", "content_kind": "Video", "readable_id": "integrals--trig-substitution-1"}, {"translated_youtube_id": "nMrJ6nbOQhQ", "relative_url": "/video/trig-and-u-substitution-together--part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trig-and-u-substitution-together--part-1", "duration": 535, "translated_title": "Trig and u substitution together (part 1)", "translated_description_html": "", "id": "1373141693", "description_html": "", "title": "Trig and u substitution together (part 1)", "progress_key": "v1373141693", "edit_slug": "edit/v/1373141693", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/trig-and-u-substitution-together--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-12T17:55:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nMrJ6nbOQhQ.mp4/nMrJ6nbOQhQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nMrJ6nbOQhQ.mp4/nMrJ6nbOQhQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nMrJ6nbOQhQ.m3u8/nMrJ6nbOQhQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nMrJ6nbOQhQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1373141693", "sha": "e60eca9194b4aa9e81e69ec7cfe84b82e67c864e", "translated_description": "", "image_url": "https://img.youtube.com/vi/nMrJ6nbOQhQ/hqdefault.jpg", "youtube_id": "nMrJ6nbOQhQ", "content_kind": "Video", "readable_id": "trig-and-u-substitution-together--part-1"}, {"translated_youtube_id": "WAoaBTWKLoI", "relative_url": "/video/trig-and-u-substitution-together--part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trig-and-u-substitution-together--part-2", "duration": 345, "translated_title": "Trig and u substitution together (part 2)", "translated_description_html": "", "id": "1373336307", "description_html": "", "title": "Trig and u substitution together (part 2)", "progress_key": "v1373336307", "edit_slug": "edit/v/1373336307", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/trig-and-u-substitution-together--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-12T17:56:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WAoaBTWKLoI.mp4/WAoaBTWKLoI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WAoaBTWKLoI.mp4/WAoaBTWKLoI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WAoaBTWKLoI.m3u8/WAoaBTWKLoI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WAoaBTWKLoI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1373336307", "sha": "6255a3c0089168837ccd1d131bab8e8046505cd1", "translated_description": "", "image_url": "https://img.youtube.com/vi/WAoaBTWKLoI/hqdefault.jpg", "youtube_id": "WAoaBTWKLoI", "content_kind": "Video", "readable_id": "trig-and-u-substitution-together--part-2"}, {"translated_youtube_id": "CYjAgOTVfZk", "relative_url": "/video/trig-substitution-with-tangent", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/trig-substitution-with-tangent", "duration": 286, "translated_title": "Trig substitution with tangent", "translated_description_html": "", "id": "1373225524", "description_html": "", "title": "Trig substitution with tangent", "progress_key": "v1373225524", "edit_slug": "edit/v/1373225524", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/trig-substitution-with-tangent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-12T17:57:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CYjAgOTVfZk.mp4/CYjAgOTVfZk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CYjAgOTVfZk.mp4/CYjAgOTVfZk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CYjAgOTVfZk.m3u8/CYjAgOTVfZk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CYjAgOTVfZk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1373225524", "sha": "836cf8d6a9e274a7510a9c3e9bd7da07fabf3e70", "translated_description": "", "image_url": "https://img.youtube.com/vi/CYjAgOTVfZk/hqdefault.jpg", "youtube_id": "CYjAgOTVfZk", "content_kind": "Video", "readable_id": "trig-substitution-with-tangent"}, {"translated_youtube_id": "fD7MbnXbTls", "relative_url": "/video/integrals--trig-substitution-2", "has_questions": false, "keywords": "calculus, trig, substitution", "ka_url": "http://www.khanacademy.org/video/integrals--trig-substitution-2", "duration": 491, "translated_title": "Integrals: Trig substitution 2", "translated_description_html": "Another example of finding an anti-derivative using trigonometric substitution", "id": "24210", "description_html": "Another example of finding an anti-derivative using trigonometric substitution", "title": "Integrals: Trig substitution 2", "progress_key": "v24210", "edit_slug": "edit/v/24210", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of finding an anti-derivative using trigonometric substitution", "extra_properties": null, "node_slug": "v/integrals--trig-substitution-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fD7MbnXbTls.mp4/fD7MbnXbTls.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fD7MbnXbTls.mp4/fD7MbnXbTls.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fD7MbnXbTls.m3u8/fD7MbnXbTls.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fD7MbnXbTls&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24210", "sha": "77d27e09feb04e25b6efd4dcf183961a4596ed4e", "translated_description": "Another example of finding an anti-derivative using trigonometric substitution", "image_url": "https://img.youtube.com/vi/fD7MbnXbTls/hqdefault.jpg", "youtube_id": "fD7MbnXbTls", "content_kind": "Video", "readable_id": "integrals--trig-substitution-2"}, {"translated_youtube_id": "sw2p2tUIFpc", "relative_url": "/video/integrals--trig-substitution-3--long-problem", "has_questions": false, "keywords": "trig, implicit, derivative, calculus, substitution", "ka_url": "http://www.khanacademy.org/video/integrals--trig-substitution-3--long-problem", "duration": 1072, "translated_title": "Integrals: Trig substitution 3 (long problem)", "translated_description_html": "Example using trig substitution (and trig identities) to solve an integral.", "id": "24212", "description_html": "Example using trig substitution (and trig identities) to solve an integral.", "title": "Integrals: Trig substitution 3 (long problem)", "progress_key": "v24212", "edit_slug": "edit/v/24212", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example using trig substitution (and trig identities) to solve an integral.", "extra_properties": null, "node_slug": "v/integrals--trig-substitution-3--long-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sw2p2tUIFpc.mp4/sw2p2tUIFpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sw2p2tUIFpc.mp4/sw2p2tUIFpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sw2p2tUIFpc.m3u8/sw2p2tUIFpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sw2p2tUIFpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24212", "sha": "07263dbde858a071bc8126650f589f556a217a7e", "translated_description": "Example using trig substitution (and trig identities) to solve an integral.", "image_url": "https://img.youtube.com/vi/sw2p2tUIFpc/hqdefault.jpg", "youtube_id": "sw2p2tUIFpc", "content_kind": "Video", "readable_id": "integrals--trig-substitution-3--long-problem"}], "twitter_url": "", "translated_description": "We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions. This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions. This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.", "x_pos": 0.0, "node_slug": "trig_substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f217d54", "topic_page_url": "/math/calculus/integral-calculus/trig_substitution", "extended_slug": "math/calculus/integral-calculus/trig_substitution", "slug": "trig_substitution", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7ccfff4010f6b94a9aef0c0b98f426982b228a7f", "standalone_title": "Trig substitution", "y_pos": 0.0, "current_revision_key": "7ccfff4010f6b94a9aef0c0b98f426982b228a7f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/fundamental-theorem-of-calculus", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/fundamental-theorem-of-calculus", "translated_standalone_title": "Fundamental Theorem of Calculus", "translated_title": "Fundamental theorem of calculus", "gplus_url": "", "id": "xdaad1380", "old_key_name": "LSK-nMY745CwgD-GRCSbqTWJz9SspHBVPFHfxqub", "hide": false, "title": "Fundamental theorem of calculus", "child_data": [{"kind": "Video", "id": 1353533334}, {"kind": "Video", "id": 1362669934}, {"kind": "Video", "id": 1363004264}, {"kind": "Video", "id": 1362611642}, {"kind": "Video", "id": 1363005217}, {"kind": "Video", "id": 1362356573}], "children": [{"translated_youtube_id": "C7ducZoLKgw", "relative_url": "/video/fundamental-theorem-of-calculus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fundamental-theorem-of-calculus", "duration": 483, "translated_title": "Fundamental theorem of calculus", "translated_description_html": "", "id": "1353533334", "description_html": "", "title": "Fundamental theorem of calculus", "progress_key": "v1353533334", "edit_slug": "edit/v/1353533334", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/fundamental-theorem-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-05T23:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C7ducZoLKgw.mp4/C7ducZoLKgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C7ducZoLKgw.mp4/C7ducZoLKgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C7ducZoLKgw.m3u8/C7ducZoLKgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C7ducZoLKgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1353533334", "sha": "86aac30781841e9704fc30081930a3a57aa3702d", "translated_description": "", "image_url": "https://img.youtube.com/vi/C7ducZoLKgw/hqdefault.jpg", "youtube_id": "C7ducZoLKgw", "content_kind": "Video", "readable_id": "fundamental-theorem-of-calculus"}, {"translated_youtube_id": "FcLeaD3UII4", "relative_url": "/video/applying-the-fundamental-theorem-of-calculus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/applying-the-fundamental-theorem-of-calculus", "duration": 234, "translated_title": "Applying the fundamental theorem of calculus", "translated_description_html": "", "id": "1362669934", "description_html": "", "title": "Applying the fundamental theorem of calculus", "progress_key": "v1362669934", "edit_slug": "edit/v/1362669934", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/applying-the-fundamental-theorem-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-09T00:08:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FcLeaD3UII4.mp4/FcLeaD3UII4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FcLeaD3UII4.mp4/FcLeaD3UII4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FcLeaD3UII4.m3u8/FcLeaD3UII4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FcLeaD3UII4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1362669934", "sha": "6212dfd3e29976e79e88ec3c5cb2bcdcf18de2fd", "translated_description": "", "image_url": "https://img.youtube.com/vi/FcLeaD3UII4/hqdefault.jpg", "youtube_id": "FcLeaD3UII4", "content_kind": "Video", "readable_id": "applying-the-fundamental-theorem-of-calculus"}, {"translated_youtube_id": "TqGCNNlx6pU", "relative_url": "/video/swapping-the-bounds-for-definite-integral", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/swapping-the-bounds-for-definite-integral", "duration": 180, "translated_title": "Swapping the bounds for definite integral", "translated_description_html": "", "id": "1363004264", "description_html": "", "title": "Swapping the bounds for definite integral", "progress_key": "v1363004264", "edit_slug": "edit/v/1363004264", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/swapping-the-bounds-for-definite-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-09T00:09:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TqGCNNlx6pU.mp4/TqGCNNlx6pU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TqGCNNlx6pU.mp4/TqGCNNlx6pU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TqGCNNlx6pU.m3u8/TqGCNNlx6pU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TqGCNNlx6pU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1363004264", "sha": "30078a86243a2493a49996872e0c37abe4dd51f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/TqGCNNlx6pU/hqdefault.jpg", "youtube_id": "TqGCNNlx6pU", "content_kind": "Video", "readable_id": "swapping-the-bounds-for-definite-integral"}, {"translated_youtube_id": "0z52CLjC2C0", "relative_url": "/video/both-bounds-being-a-function-of-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/both-bounds-being-a-function-of-x", "duration": 304, "translated_title": "Both bounds being a function of x", "translated_description_html": "", "id": "1362611642", "description_html": "", "title": "Both bounds being a function of x", "progress_key": "v1362611642", "edit_slug": "edit/v/1362611642", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/both-bounds-being-a-function-of-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-09T00:09:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0z52CLjC2C0.mp4/0z52CLjC2C0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0z52CLjC2C0.mp4/0z52CLjC2C0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0z52CLjC2C0.m3u8/0z52CLjC2C0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0z52CLjC2C0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1362611642", "sha": "eebe97bc516213f25c9ae774906de0959d7435c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/0z52CLjC2C0/hqdefault.jpg", "youtube_id": "0z52CLjC2C0", "content_kind": "Video", "readable_id": "both-bounds-being-a-function-of-x"}, {"translated_youtube_id": "pWtt0AvU0KA", "relative_url": "/video/proof-of-fundamental-theorem-of-calculus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/proof-of-fundamental-theorem-of-calculus", "duration": 840, "translated_title": "Proof of fundamental theorem of calculus", "translated_description_html": "", "id": "1363005217", "description_html": "", "title": "Proof of fundamental theorem of calculus", "progress_key": "v1363005217", "edit_slug": "edit/v/1363005217", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/proof-of-fundamental-theorem-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-09T00:10:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pWtt0AvU0KA.mp4/pWtt0AvU0KA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pWtt0AvU0KA.mp4/pWtt0AvU0KA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pWtt0AvU0KA.m3u8/pWtt0AvU0KA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pWtt0AvU0KA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1363005217", "sha": "597f157102067fe9ac92fa714a2da7782c632099", "translated_description": "", "image_url": "https://img.youtube.com/vi/pWtt0AvU0KA/hqdefault.jpg", "youtube_id": "pWtt0AvU0KA", "content_kind": "Video", "readable_id": "proof-of-fundamental-theorem-of-calculus"}, {"translated_youtube_id": "JbfVrwxuPxM", "relative_url": "/video/connecting-the-first-and-second-fundamental-theorems-of-calculus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/connecting-the-first-and-second-fundamental-theorems-of-calculus", "duration": 285, "translated_title": "Connecting the first and second fundamental theorems of calculus", "translated_description_html": "", "id": "1362356573", "description_html": "", "title": "Connecting the first and second fundamental theorems of calculus", "progress_key": "v1362356573", "edit_slug": "edit/v/1362356573", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/connecting-the-first-and-second-fundamental-theorems-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-09T01:10:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JbfVrwxuPxM.mp4/JbfVrwxuPxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JbfVrwxuPxM.mp4/JbfVrwxuPxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JbfVrwxuPxM.m3u8/JbfVrwxuPxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JbfVrwxuPxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1362356573", "sha": "12772d51e8cb6d11980d57405a85c0c177953548", "translated_description": "", "image_url": "https://img.youtube.com/vi/JbfVrwxuPxM/hqdefault.jpg", "youtube_id": "JbfVrwxuPxM", "content_kind": "Video", "readable_id": "connecting-the-first-and-second-fundamental-theorems-of-calculus"}], "twitter_url": "", "translated_description": "You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from. This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together. We'll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from. This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together. We'll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.", "x_pos": 0.0, "node_slug": "fundamental-theorem-of-calculus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdaad1380", "topic_page_url": "/math/calculus/integral-calculus/fundamental-theorem-of-calculus", "extended_slug": "math/calculus/integral-calculus/fundamental-theorem-of-calculus", "slug": "fundamental-theorem-of-calculus", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ef2babc34e61ea5a9cac6fa1ee065dd57e8a2efe", "standalone_title": "Fundamental Theorem of Calculus", "y_pos": 0.0, "current_revision_key": "ef2babc34e61ea5a9cac6fa1ee065dd57e8a2efe", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/integral-calculus/improper-integrals-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/integral-calculus/improper-integrals-tutorial", "translated_standalone_title": "Improper integrals", "translated_title": "Improper integrals", "gplus_url": "", "id": "xbdb962f4", "old_key_name": "40wL831AvXyTDvdHEC5Xqq32KSOrOPF5Gm-yIeeF", "hide": false, "title": "Improper integrals", "child_data": [{"kind": "Video", "id": 1377828561}, {"kind": "Video", "id": 1378097320}, {"kind": "Video", "id": 1378156106}], "children": [{"translated_youtube_id": "qv7DM5Ph0vU", "relative_url": "/video/introduction-to-improper-integrals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-improper-integrals", "duration": 232, "translated_title": "Introduction to improper integrals", "translated_description_html": "", "id": "1377828561", "description_html": "", "title": "Introduction to improper integrals", "progress_key": "v1377828561", "edit_slug": "edit/v/1377828561", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-improper-integrals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-14T00:47:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qv7DM5Ph0vU.mp4/qv7DM5Ph0vU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qv7DM5Ph0vU.mp4/qv7DM5Ph0vU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qv7DM5Ph0vU.m3u8/qv7DM5Ph0vU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qv7DM5Ph0vU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1377828561", "sha": "91debf5dd983d339a6481bf977af631ddd2ac12a", "translated_description": "", "image_url": "https://img.youtube.com/vi/qv7DM5Ph0vU/hqdefault.jpg", "youtube_id": "qv7DM5Ph0vU", "content_kind": "Video", "readable_id": "introduction-to-improper-integrals"}, {"translated_youtube_id": "9JX2s90_RNQ", "relative_url": "/video/improper-integral-with-two-infinite-bounds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/improper-integral-with-two-infinite-bounds", "duration": 687, "translated_title": "Improper integral with two infinite bounds", "translated_description_html": "", "id": "1378097320", "description_html": "", "title": "Improper integral with two infinite bounds", "progress_key": "v1378097320", "edit_slug": "edit/v/1378097320", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/improper-integral-with-two-infinite-bounds", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-14T00:48:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9JX2s90_RNQ.mp4/9JX2s90_RNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9JX2s90_RNQ.mp4/9JX2s90_RNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9JX2s90_RNQ.m3u8/9JX2s90_RNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9JX2s90_RNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378097320", "sha": "294ee56f0148d32103e5c15a2e9abef25d437bfc", "translated_description": "", "image_url": "https://img.youtube.com/vi/9JX2s90_RNQ/hqdefault.jpg", "youtube_id": "9JX2s90_RNQ", "content_kind": "Video", "readable_id": "improper-integral-with-two-infinite-bounds"}, {"translated_youtube_id": "9VqL6POWIoc", "relative_url": "/video/divergent-improper-integral", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergent-improper-integral", "duration": 162, "translated_title": "Divergent improper integral", "translated_description_html": "", "id": "1378156106", "description_html": "", "title": "Divergent improper integral", "progress_key": "v1378156106", "edit_slug": "edit/v/1378156106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/divergent-improper-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-14T00:48:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9VqL6POWIoc.mp4/9VqL6POWIoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9VqL6POWIoc.mp4/9VqL6POWIoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9VqL6POWIoc.m3u8/9VqL6POWIoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9VqL6POWIoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378156106", "sha": "72422d39630efeebb12dd92ea97f6e2a4790dc1e", "translated_description": "", "image_url": "https://img.youtube.com/vi/9VqL6POWIoc/hqdefault.jpg", "youtube_id": "9VqL6POWIoc", "content_kind": "Video", "readable_id": "divergent-improper-integral"}], "twitter_url": "", "translated_description": "Not everything (or everyone) should or could be proper all the time. Same is true for definite integrals. In this tutorial, we'll look at improper integrals--ones where one or both bounds are at infinity! Mind blowing!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Not everything (or everyone) should or could be proper all the time. Same is true for definite integrals. In this tutorial, we'll look at improper integrals--ones where one or both bounds are at infinity! Mind blowing!", "x_pos": 0.0, "node_slug": "improper-integrals-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbdb962f4", "topic_page_url": "/math/calculus/integral-calculus/improper-integrals-tutorial", "extended_slug": "math/calculus/integral-calculus/improper-integrals-tutorial", "slug": "improper-integrals-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a64d8a5a079d6627cdc08724125835bebefc7c29", "standalone_title": "Improper integrals", "y_pos": 0.0, "current_revision_key": "a64d8a5a079d6627cdc08724125835bebefc7c29", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Indefinite integral as anti-derivative. Definite integral as area under a curve. Integration by parts. U-substitution. Trig substitution.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Indefinite integral as anti-derivative. Definite integral as area under a curve. Integration by parts. U-substitution. Trig substitution.", "x_pos": 0.0, "node_slug": "integral-calculus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb640969d", "topic_page_url": "/math/calculus/integral-calculus", "extended_slug": "math/calculus/integral-calculus", "slug": "integral-calculus", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2f02f62756a6e6721964393c2fff81b768437609", "standalone_title": "Integral calculus", "y_pos": 0.0, "current_revision_key": "2f02f62756a6e6721964393c2fff81b768437609", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/solid_revolution_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/solid_revolution_topic", "translated_standalone_title": "Solid of revolution", "translated_title": "Solid of revolution", "gplus_url": "", "id": "xa7f36ed3", "old_key_name": "rxU2Db7_9vKHwkTuoBCOlJbfkL0nwf5TW07qxZyc", "hide": false, "title": "Solid of revolution", "child_data": [{"kind": "Topic", "id": "x4e18632e"}, {"kind": "Topic", "id": "x437a1488"}, {"kind": "Topic", "id": "xd628396e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/solid_revolution_topic/disc-method", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/solid_revolution_topic/disc-method", "translated_standalone_title": "Disc method", "translated_title": "Disc method", "gplus_url": "", "id": "x4e18632e", "old_key_name": "_OWaDtrQha9dcvyKOuxiQ90qESWMfYhQXIrd8Fbk", "hide": false, "title": "Disc method", "child_data": [{"kind": "Video", "id": 1276987869}, {"kind": "Video", "id": 1276878010}, {"kind": "Video", "id": 1277026678}, {"kind": "Video", "id": 1277082263}, {"kind": "Video", "id": 1276911918}, {"kind": "Video", "id": 1276975478}, {"kind": "Video", "id": 1277007629}, {"kind": "Video", "id": 1276843891}, {"kind": "Video", "id": 1276946626}, {"kind": "Video", "id": 1277077144}, {"kind": "Video", "id": 1278890062}, {"kind": "Video", "id": 1278699793}], "children": [{"translated_youtube_id": "btGaOTXxXs8", "relative_url": "/video/disk-method-around-x-axis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/disk-method-around-x-axis", "duration": 541, "translated_title": "Disk method around x-axis", "translated_description_html": "Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.", "id": "1276987869", "description_html": "Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.", "title": "Disk method around x-axis", "progress_key": "v1276987869", "edit_slug": "edit/v/1276987869", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.", "extra_properties": null, "node_slug": "v/disk-method-around-x-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:08:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/btGaOTXxXs8.mp4/btGaOTXxXs8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/btGaOTXxXs8.mp4/btGaOTXxXs8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/btGaOTXxXs8.m3u8/btGaOTXxXs8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=btGaOTXxXs8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276987869", "sha": "805a6d794f9b738602865615ff5b7c9666ba6fc8", "translated_description": "Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.", "image_url": "https://img.youtube.com/vi/btGaOTXxXs8/hqdefault.jpg", "youtube_id": "btGaOTXxXs8", "content_kind": "Video", "readable_id": "disk-method-around-x-axis"}, {"translated_youtube_id": "vmS3cTaxKdA", "relative_url": "/video/generalizing-disc-method-around-x-axis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/generalizing-disc-method-around-x-axis", "duration": 155, "translated_title": "Generalizing disc method around x-axis", "translated_description_html": "Generalizing what we did in the last video for f(x) to get the \"formula\" for using the disc method around the x-axis", "id": "1276878010", "description_html": "Generalizing what we did in the last video for f(x) to get the \"formula\" for using the disc method around the x-axis", "title": "Generalizing disc method around x-axis", "progress_key": "v1276878010", "edit_slug": "edit/v/1276878010", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Generalizing what we did in the last video for f(x) to get the \"formula\" for using the disc method around the x-axis", "extra_properties": null, "node_slug": "v/generalizing-disc-method-around-x-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:07:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vmS3cTaxKdA.mp4/vmS3cTaxKdA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vmS3cTaxKdA.mp4/vmS3cTaxKdA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vmS3cTaxKdA.m3u8/vmS3cTaxKdA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vmS3cTaxKdA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276878010", "sha": "ffb799f461f9f23916977e54a377fa1d5e1a4460", "translated_description": "Generalizing what we did in the last video for f(x) to get the \"formula\" for using the disc method around the x-axis", "image_url": "https://img.youtube.com/vi/vmS3cTaxKdA/hqdefault.jpg", "youtube_id": "vmS3cTaxKdA", "content_kind": "Video", "readable_id": "generalizing-disc-method-around-x-axis"}, {"translated_youtube_id": "43AS7bPUORc", "relative_url": "/video/disc-method-around-y-axis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/disc-method-around-y-axis", "duration": 453, "translated_title": "Disc method around y-axis", "translated_description_html": "Finding the volume of a figure that is rotated around the y-axis using the disc method", "id": "1277026678", "description_html": "Finding the volume of a figure that is rotated around the y-axis using the disc method", "title": "Disc method around y-axis", "progress_key": "v1277026678", "edit_slug": "edit/v/1277026678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the volume of a figure that is rotated around the y-axis using the disc method", "extra_properties": null, "node_slug": "v/disc-method-around-y-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:06:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/43AS7bPUORc.mp4/43AS7bPUORc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/43AS7bPUORc.mp4/43AS7bPUORc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/43AS7bPUORc.m3u8/43AS7bPUORc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=43AS7bPUORc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1277026678", "sha": "efa6c3d3803ef1c40de8e50a8f03c1f3d320cec5", "translated_description": "Finding the volume of a figure that is rotated around the y-axis using the disc method", "image_url": "https://img.youtube.com/vi/43AS7bPUORc/hqdefault.jpg", "youtube_id": "43AS7bPUORc", "content_kind": "Video", "readable_id": "disc-method-around-y-axis"}, {"translated_youtube_id": "vhMl755vR5Q", "relative_url": "/video/disc-method--washer-method--for-rotation-around-x-axis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/disc-method--washer-method--for-rotation-around-x-axis", "duration": 547, "translated_title": "Disc method (washer method) for rotation around x-axis", "translated_description_html": "Finding the volume of a solid of revolution that is defined between two functions", "id": "1277082263", "description_html": "Finding the volume of a solid of revolution that is defined between two functions", "title": "Disc method (washer method) for rotation around x-axis", "progress_key": "v1277082263", "edit_slug": "edit/v/1277082263", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the volume of a solid of revolution that is defined between two functions", "extra_properties": null, "node_slug": "v/disc-method--washer-method--for-rotation-around-x-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:05:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vhMl755vR5Q.mp4/vhMl755vR5Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vhMl755vR5Q.mp4/vhMl755vR5Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vhMl755vR5Q.m3u8/vhMl755vR5Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vhMl755vR5Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1277082263", "sha": "0b38ef1a18d2813b841c08c92fd40656bd58971c", "translated_description": "Finding the volume of a solid of revolution that is defined between two functions", "image_url": "https://img.youtube.com/vi/vhMl755vR5Q/hqdefault.jpg", "youtube_id": "vhMl755vR5Q", "content_kind": "Video", "readable_id": "disc-method--washer-method--for-rotation-around-x-axis"}, {"translated_youtube_id": "Thvc2s9aUP4", "relative_url": "/video/generalizing-the-washer-method", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/generalizing-the-washer-method", "duration": 511, "translated_title": "Generalizing the washer method", "translated_description_html": "Looking at the example from the last video in a more generalized way", "id": "1276911918", "description_html": "Looking at the example from the last video in a more generalized way", "title": "Generalizing the washer method", "progress_key": "v1276911918", "edit_slug": "edit/v/1276911918", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking at the example from the last video in a more generalized way", "extra_properties": null, "node_slug": "v/generalizing-the-washer-method", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:05:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Thvc2s9aUP4.mp4/Thvc2s9aUP4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Thvc2s9aUP4.mp4/Thvc2s9aUP4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Thvc2s9aUP4.m3u8/Thvc2s9aUP4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Thvc2s9aUP4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276911918", "sha": "0cc9da1fbd89664265b317676c036b862116e54a", "translated_description": "Looking at the example from the last video in a more generalized way", "image_url": "https://img.youtube.com/vi/Thvc2s9aUP4/hqdefault.jpg", "youtube_id": "Thvc2s9aUP4", "content_kind": "Video", "readable_id": "generalizing-the-washer-method"}, {"translated_youtube_id": "XdzcU5JbVcA", "relative_url": "/video/disc-method-rotation-around-horizontal-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/disc-method-rotation-around-horizontal-line", "duration": 594, "translated_title": "Disc method rotation around horizontal line", "translated_description_html": "Solid of revolution constructing by rotating around line that is not an axis", "id": "1276975478", "description_html": "Solid of revolution constructing by rotating around line that is not an axis", "title": "Disc method rotation around horizontal line", "progress_key": "v1276975478", "edit_slug": "edit/v/1276975478", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solid of revolution constructing by rotating around line that is not an axis", "extra_properties": null, "node_slug": "v/disc-method-rotation-around-horizontal-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:04:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XdzcU5JbVcA.mp4/XdzcU5JbVcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XdzcU5JbVcA.mp4/XdzcU5JbVcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XdzcU5JbVcA.m3u8/XdzcU5JbVcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XdzcU5JbVcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276975478", "sha": "22fe1cbe6d0f4f1c5d9e07faf197a6b27eab9eea", "translated_description": "Solid of revolution constructing by rotating around line that is not an axis", "image_url": "https://img.youtube.com/vi/XdzcU5JbVcA/hqdefault.jpg", "youtube_id": "XdzcU5JbVcA", "content_kind": "Video", "readable_id": "disc-method-rotation-around-horizontal-line"}, {"translated_youtube_id": "OFNGpKGg9IQ", "relative_url": "/video/washer-method-rotating-around-non-axis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/washer-method-rotating-around-non-axis", "duration": 398, "translated_title": "Washer method rotating around non-axis", "translated_description_html": "Washer method when rotating around a horizontal line that is not the x-axis", "id": "1277007629", "description_html": "Washer method when rotating around a horizontal line that is not the x-axis", "title": "Washer method rotating around non-axis", "progress_key": "v1277007629", "edit_slug": "edit/v/1277007629", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Washer method when rotating around a horizontal line that is not the x-axis", "extra_properties": null, "node_slug": "v/washer-method-rotating-around-non-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:03:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OFNGpKGg9IQ.mp4/OFNGpKGg9IQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OFNGpKGg9IQ.mp4/OFNGpKGg9IQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OFNGpKGg9IQ.m3u8/OFNGpKGg9IQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OFNGpKGg9IQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1277007629", "sha": "2cd14ef8dd3cbefaece956764224db2c48bc7a6c", "translated_description": "Washer method when rotating around a horizontal line that is not the x-axis", "image_url": "https://img.youtube.com/vi/OFNGpKGg9IQ/hqdefault.jpg", "youtube_id": "OFNGpKGg9IQ", "content_kind": "Video", "readable_id": "washer-method-rotating-around-non-axis"}, {"translated_youtube_id": "LKzpw_HUKNQ", "relative_url": "/video/part-2-of-washer-for-not-axis-rotation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/part-2-of-washer-for-not-axis-rotation", "duration": 494, "translated_title": "Part 2 of washer for non axis rotation", "translated_description_html": "Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video", "id": "1276843891", "description_html": "Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video", "title": "Part 2 of washer for non axis rotation", "progress_key": "v1276843891", "edit_slug": "edit/v/1276843891", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video", "extra_properties": null, "node_slug": "v/part-2-of-washer-for-not-axis-rotation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:02:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LKzpw_HUKNQ.mp4/LKzpw_HUKNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LKzpw_HUKNQ.mp4/LKzpw_HUKNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LKzpw_HUKNQ.m3u8/LKzpw_HUKNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LKzpw_HUKNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276843891", "sha": "3f0f1596a31927b4e66a0cbecc807852e0fce3a4", "translated_description": "Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video", "image_url": "https://img.youtube.com/vi/LKzpw_HUKNQ/hqdefault.jpg", "youtube_id": "LKzpw_HUKNQ", "content_kind": "Video", "readable_id": "part-2-of-washer-for-not-axis-rotation"}, {"translated_youtube_id": "jxf7XqvZWWg", "relative_url": "/video/disc-method-rotating-around-vertical-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/disc-method-rotating-around-vertical-line", "duration": 291, "translated_title": "Disc method rotating around vertical line", "translated_description_html": "Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.", "id": "1276946626", "description_html": "Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.", "title": "Disc method rotating around vertical line", "progress_key": "v1276946626", "edit_slug": "edit/v/1276946626", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.", "extra_properties": null, "node_slug": "v/disc-method-rotating-around-vertical-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:01:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jxf7XqvZWWg.mp4/jxf7XqvZWWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jxf7XqvZWWg.mp4/jxf7XqvZWWg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jxf7XqvZWWg.m3u8/jxf7XqvZWWg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jxf7XqvZWWg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1276946626", "sha": "061fe0ff5c2300acc67954894fb4d6b7f646160e", "translated_description": "Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.", "image_url": "https://img.youtube.com/vi/jxf7XqvZWWg/hqdefault.jpg", "youtube_id": "jxf7XqvZWWg", "content_kind": "Video", "readable_id": "disc-method-rotating-around-vertical-line"}, {"translated_youtube_id": "eLdhifUUMmk", "relative_url": "/video/calculating-integral-disc-method-around-vertical-line", "has_questions": false, "keywords": "solid of revolution", "ka_url": "http://www.khanacademy.org/video/calculating-integral-disc-method-around-vertical-line", "duration": 339, "translated_title": "Calculating integral disc method around vertical line", "translated_description_html": "Let's calculate the integral from the last video.", "id": "1277077144", "description_html": "Let's calculate the integral from the last video.", "title": "Calculating integral disc method around vertical line", "progress_key": "v1277077144", "edit_slug": "edit/v/1277077144", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Let's calculate the integral from the last video.", "extra_properties": null, "node_slug": "v/calculating-integral-disc-method-around-vertical-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T01:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eLdhifUUMmk.mp4/eLdhifUUMmk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eLdhifUUMmk.mp4/eLdhifUUMmk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eLdhifUUMmk.m3u8/eLdhifUUMmk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eLdhifUUMmk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1277077144", "sha": "6c84ce4cb73d0c91654963efd8c1fbd143b059e7", "translated_description": "Let's calculate the integral from the last video.", "image_url": "https://img.youtube.com/vi/eLdhifUUMmk/hqdefault.jpg", "youtube_id": "eLdhifUUMmk", "content_kind": "Video", "readable_id": "calculating-integral-disc-method-around-vertical-line"}, {"translated_youtube_id": "WAPZihVUmzE", "relative_url": "/video/washer-or-ring-method-for-vertical-line-rotation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/washer-or-ring-method-for-vertical-line-rotation", "duration": 470, "translated_title": "Washer or ring method for vertical line rotation", "translated_description_html": "Setting up the definite integral for the volume of a solid of revolution around a vertical line using the \"washer\" or \"ring\" method.", "id": "1278890062", "description_html": "Setting up the definite integral for the volume of a solid of revolution around a vertical line using the \"washer\" or \"ring\" method.", "title": "Washer or ring method for vertical line rotation", "progress_key": "v1278890062", "edit_slug": "edit/v/1278890062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Setting up the definite integral for the volume of a solid of revolution around a vertical line using the \"washer\" or \"ring\" method.", "extra_properties": null, "node_slug": "v/washer-or-ring-method-for-vertical-line-rotation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-09T16:59:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WAPZihVUmzE.mp4/WAPZihVUmzE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WAPZihVUmzE.mp4/WAPZihVUmzE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WAPZihVUmzE.m3u8/WAPZihVUmzE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WAPZihVUmzE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1278890062", "sha": "98c9bfcbbdccdd5671d0e43814bdd90edd154d12", "translated_description": "Setting up the definite integral for the volume of a solid of revolution around a vertical line using the \"washer\" or \"ring\" method.", "image_url": "https://img.youtube.com/vi/WAPZihVUmzE/hqdefault.jpg", "youtube_id": "WAPZihVUmzE", "content_kind": "Video", "readable_id": "washer-or-ring-method-for-vertical-line-rotation"}, {"translated_youtube_id": "i-Rb4_n929k", "relative_url": "/video/evaluating-integral-for-washer-method-around-vertical-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-integral-for-washer-method-around-vertical-line", "duration": 335, "translated_title": "Evaluating integral for washer method around vertical line", "translated_description_html": "Evaluating integral set up in the last video using washer method.", "id": "1278699793", "description_html": "Evaluating integral set up in the last video using washer method.", "title": "Evaluating integral for washer method around vertical line", "progress_key": "v1278699793", "edit_slug": "edit/v/1278699793", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating integral set up in the last video using washer method.", "extra_properties": null, "node_slug": "v/evaluating-integral-for-washer-method-around-vertical-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T17:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i-Rb4_n929k.mp4/i-Rb4_n929k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i-Rb4_n929k.mp4/i-Rb4_n929k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i-Rb4_n929k.m3u8/i-Rb4_n929k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i-Rb4_n929k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1278699793", "sha": "8c5aee034e8fb2d5c25889dcd39fcb6899dfe4ca", "translated_description": "Evaluating integral set up in the last video using washer method.", "image_url": "https://img.youtube.com/vi/i-Rb4_n929k/hqdefault.jpg", "youtube_id": "i-Rb4_n929k", "content_kind": "Video", "readable_id": "evaluating-integral-for-washer-method-around-vertical-line"}], "twitter_url": "", "translated_description": "You know how to use definite integrals to find areas under curves. We now take that idea for \"spin\" by thinking about the volumes of things created when you rotate functions around various lines. \n\nThis tutorial focuses on the \"disc method\" and the \"washer method\" for these types of problems.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to use definite integrals to find areas under curves. We now take that idea for \"spin\" by thinking about the volumes of things created when you rotate functions around various lines. \n\nThis tutorial focuses on the \"disc method\" and the \"washer method\" for these types of problems.", "x_pos": 0.0, "node_slug": "disc-method", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4e18632e", "topic_page_url": "/math/calculus/solid_revolution_topic/disc-method", "extended_slug": "math/calculus/solid_revolution_topic/disc-method", "slug": "disc-method", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5efa9b8d110fd5f890688d4aef5c4fd16cd52125", "standalone_title": "Disc method", "y_pos": 0.0, "current_revision_key": "5efa9b8d110fd5f890688d4aef5c4fd16cd52125", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/solid_revolution_topic/shell-method", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/solid_revolution_topic/shell-method", "translated_standalone_title": "Shell method", "translated_title": "Shell method", "gplus_url": "", "id": "x437a1488", "old_key_name": "BGFKziYetcFpYaBA1u6_GBiKzCvXSYmAs-IJP0ob", "hide": false, "title": "Shell method", "child_data": [{"kind": "Video", "id": 1278719875}, {"kind": "Video", "id": 1278893056}, {"kind": "Video", "id": 1278618852}, {"kind": "Video", "id": 1279652914}, {"kind": "Video", "id": 1279716372}, {"kind": "Video", "id": 1279685406}, {"kind": "Video", "id": 1279735749}], "children": [{"translated_youtube_id": "6Ozz3J-LRrY", "relative_url": "/video/shell-method-for-rotating-around-vertical-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shell-method-for-rotating-around-vertical-line", "duration": 333, "translated_title": "Shell method for rotating around vertical line", "translated_description_html": "Introducing the shell method for rotation around a vertical line.", "id": "1278719875", "description_html": "Introducing the shell method for rotation around a vertical line.", "title": "Shell method for rotating around vertical line", "progress_key": "v1278719875", "edit_slug": "edit/v/1278719875", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introducing the shell method for rotation around a vertical line.", "extra_properties": null, "node_slug": "v/shell-method-for-rotating-around-vertical-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T17:00:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Ozz3J-LRrY.mp4/6Ozz3J-LRrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Ozz3J-LRrY.mp4/6Ozz3J-LRrY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Ozz3J-LRrY.m3u8/6Ozz3J-LRrY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Ozz3J-LRrY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1278719875", "sha": "cf0551b2af40d29434cf1e6b0064a6cda6b380f3", "translated_description": "Introducing the shell method for rotation around a vertical line.", "image_url": "https://img.youtube.com/vi/6Ozz3J-LRrY/hqdefault.jpg", "youtube_id": "6Ozz3J-LRrY", "content_kind": "Video", "readable_id": "shell-method-for-rotating-around-vertical-line"}, {"translated_youtube_id": "5ZGCqKAl_CA", "relative_url": "/video/evaluating-integral-for-shell-method-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-integral-for-shell-method-example", "duration": 660, "translated_title": "Evaluating integral for shell method example", "translated_description_html": "Evaluating the definite integral set up using the shell method", "id": "1278893056", "description_html": "Evaluating the definite integral set up using the shell method", "title": "Evaluating integral for shell method example", "progress_key": "v1278893056", "edit_slug": "edit/v/1278893056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating the definite integral set up using the shell method", "extra_properties": null, "node_slug": "v/evaluating-integral-for-shell-method-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-09T17:01:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZGCqKAl_CA.mp4/5ZGCqKAl_CA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZGCqKAl_CA.mp4/5ZGCqKAl_CA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ZGCqKAl_CA.m3u8/5ZGCqKAl_CA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ZGCqKAl_CA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1278893056", "sha": "bad6db0c7b0e549f24e2708091b8f958149901ce", "translated_description": "Evaluating the definite integral set up using the shell method", "image_url": "https://img.youtube.com/vi/5ZGCqKAl_CA/hqdefault.jpg", "youtube_id": "5ZGCqKAl_CA", "content_kind": "Video", "readable_id": "evaluating-integral-for-shell-method-example"}, {"translated_youtube_id": "R-Qu3QWOEiA", "relative_url": "/video/shell-method-for-rotating-around-horizontal-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shell-method-for-rotating-around-horizontal-line", "duration": 435, "translated_title": "Shell method for rotating around horizontal line", "translated_description_html": "Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).", "id": "1278618852", "description_html": "Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).", "title": "Shell method for rotating around horizontal line", "progress_key": "v1278618852", "edit_slug": "edit/v/1278618852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).", "extra_properties": null, "node_slug": "v/shell-method-for-rotating-around-horizontal-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-09T17:02:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-Qu3QWOEiA.mp4/R-Qu3QWOEiA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-Qu3QWOEiA.mp4/R-Qu3QWOEiA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R-Qu3QWOEiA.m3u8/R-Qu3QWOEiA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R-Qu3QWOEiA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1278618852", "sha": "db05b2b4b78c7f4645eaea89c3e32e4d3c4707e7", "translated_description": "Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).", "image_url": "https://img.youtube.com/vi/R-Qu3QWOEiA/hqdefault.jpg", "youtube_id": "R-Qu3QWOEiA", "content_kind": "Video", "readable_id": "shell-method-for-rotating-around-horizontal-line"}, {"translated_youtube_id": "SfWrVNyP9E8", "relative_url": "/video/shell-method-with-two-functions-of-x", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shell-method-with-two-functions-of-x", "duration": 252, "translated_title": "Shell method with two functions of x", "translated_description_html": "Using the shell method to rotate around a vertical line.", "id": "1279652914", "description_html": "Using the shell method to rotate around a vertical line.", "title": "Shell method with two functions of x", "progress_key": "v1279652914", "edit_slug": "edit/v/1279652914", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the shell method to rotate around a vertical line.", "extra_properties": null, "node_slug": "v/shell-method-with-two-functions-of-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-09T22:44:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfWrVNyP9E8.mp4/SfWrVNyP9E8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfWrVNyP9E8.mp4/SfWrVNyP9E8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SfWrVNyP9E8.m3u8/SfWrVNyP9E8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SfWrVNyP9E8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1279652914", "sha": "7b21654f4f71ee354b217cfb5079dca5a5f88d77", "translated_description": "Using the shell method to rotate around a vertical line.", "image_url": "https://img.youtube.com/vi/SfWrVNyP9E8/hqdefault.jpg", "youtube_id": "SfWrVNyP9E8", "content_kind": "Video", "readable_id": "shell-method-with-two-functions-of-x"}, {"translated_youtube_id": "16aKF_eDGdw", "relative_url": "/video/calculating-integral-with-shell-method", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-integral-with-shell-method", "duration": 239, "translated_title": "Calculating integral with shell method", "translated_description_html": "Evaluating integral set up with shell method for two functions.", "id": "1279716372", "description_html": "Evaluating integral set up with shell method for two functions.", "title": "Calculating integral with shell method", "progress_key": "v1279716372", "edit_slug": "edit/v/1279716372", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating integral set up with shell method for two functions.", "extra_properties": null, "node_slug": "v/calculating-integral-with-shell-method", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T22:45:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/16aKF_eDGdw.mp4/16aKF_eDGdw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/16aKF_eDGdw.mp4/16aKF_eDGdw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/16aKF_eDGdw.m3u8/16aKF_eDGdw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=16aKF_eDGdw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1279716372", "sha": "646d8003eb17d4978ff1a971a2e902992361d0da", "translated_description": "Evaluating integral set up with shell method for two functions.", "image_url": "https://img.youtube.com/vi/16aKF_eDGdw/hqdefault.jpg", "youtube_id": "16aKF_eDGdw", "content_kind": "Video", "readable_id": "calculating-integral-with-shell-method"}, {"translated_youtube_id": "OelluIKIkCY", "relative_url": "/video/shell-method-with-two-functions-of-y", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/shell-method-with-two-functions-of-y", "duration": 431, "translated_title": "Shell method with two functions of y", "translated_description_html": "", "id": "1279685406", "description_html": "", "title": "Shell method with two functions of y", "progress_key": "v1279685406", "edit_slug": "edit/v/1279685406", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/shell-method-with-two-functions-of-y", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T22:45:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OelluIKIkCY.mp4/OelluIKIkCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OelluIKIkCY.mp4/OelluIKIkCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OelluIKIkCY.m3u8/OelluIKIkCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OelluIKIkCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1279685406", "sha": "e09cf9f0be4d29f1911393c3065f265d1ab68606", "translated_description": "", "image_url": "https://img.youtube.com/vi/OelluIKIkCY/hqdefault.jpg", "youtube_id": "OelluIKIkCY", "content_kind": "Video", "readable_id": "shell-method-with-two-functions-of-y"}, {"translated_youtube_id": "zg3-miF4qeg", "relative_url": "/video/part-2-of-shell-method-with-2-functions-of-y", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/part-2-of-shell-method-with-2-functions-of-y", "duration": 311, "translated_title": "Part 2 of shell method with 2 functions of y", "translated_description_html": "", "id": "1279735749", "description_html": "", "title": "Part 2 of shell method with 2 functions of y", "progress_key": "v1279735749", "edit_slug": "edit/v/1279735749", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/part-2-of-shell-method-with-2-functions-of-y", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-09T22:46:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zg3-miF4qeg.mp4/zg3-miF4qeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zg3-miF4qeg.mp4/zg3-miF4qeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zg3-miF4qeg.m3u8/zg3-miF4qeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zg3-miF4qeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1279735749", "sha": "9b8e84642c8f578905ffaace2cf8e0edb933a480", "translated_description": "", "image_url": "https://img.youtube.com/vi/zg3-miF4qeg/hqdefault.jpg", "youtube_id": "zg3-miF4qeg", "content_kind": "Video", "readable_id": "part-2-of-shell-method-with-2-functions-of-y"}], "twitter_url": "", "translated_description": "You want to rotate a function around a vertical line, but do all your integrating in terms of x and f(x), then the shell method is your new friend. It is similarly fantastic when you want to rotate around a horizontal line but integrate in terms of y.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You want to rotate a function around a vertical line, but do all your integrating in terms of x and f(x), then the shell method is your new friend. It is similarly fantastic when you want to rotate around a horizontal line but integrate in terms of y.", "x_pos": 0.0, "node_slug": "shell-method", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax437a1488", "topic_page_url": "/math/calculus/solid_revolution_topic/shell-method", "extended_slug": "math/calculus/solid_revolution_topic/shell-method", "slug": "shell-method", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f01c76198bbf2566e6e79ed64890ea34eb912f36", "standalone_title": "Shell method", "y_pos": 0.0, "current_revision_key": "f01c76198bbf2566e6e79ed64890ea34eb912f36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/solid_revolution_topic/solid_of_revolution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/solid_revolution_topic/solid_of_revolution", "translated_standalone_title": "Solid of revolution", "translated_title": "Solid of revolution volume", "gplus_url": "", "id": "xd628396e", "old_key_name": "ZSiqktt35zDt7QoZZZtYk3us8AQ6Ju7wXC2C81ee", "hide": false, "title": "Solid of revolution volume", "child_data": [{"kind": "Video", "id": 24216}, {"kind": "Video", "id": 24218}, {"kind": "Video", "id": 24220}, {"kind": "Video", "id": 24222}, {"kind": "Video", "id": 24224}, {"kind": "Video", "id": 24226}, {"kind": "Video", "id": 24228}, {"kind": "Video", "id": 24230}], "children": [{"translated_youtube_id": "R_aqSL-q6_8", "relative_url": "/video/solid-of-revolution--part-1", "has_questions": false, "keywords": "calculus, volume, rotation", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-1", "duration": 605, "translated_title": "Disc method: Function rotated about x-axis", "translated_description_html": "Figuring out the volume of a function rotated about the x-axis.", "id": "24216", "description_html": "Figuring out the volume of a function rotated about the x-axis.", "title": "Disc method: Function rotated about x-axis", "progress_key": "v24216", "edit_slug": "edit/v/24216", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the volume of a function rotated about the x-axis.", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_aqSL-q6_8.mp4/R_aqSL-q6_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_aqSL-q6_8.mp4/R_aqSL-q6_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R_aqSL-q6_8.m3u8/R_aqSL-q6_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R_aqSL-q6_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24216", "sha": "5c0f9d0d41acee4e74d22a6345e725ea9cc169a6", "translated_description": "Figuring out the volume of a function rotated about the x-axis.", "image_url": "https://img.youtube.com/vi/R_aqSL-q6_8/hqdefault.jpg", "youtube_id": "R_aqSL-q6_8", "content_kind": "Video", "readable_id": "solid-of-revolution--part-1"}, {"translated_youtube_id": "iUzfsUOl3-A", "relative_url": "/video/solid-of-revolution---part-2", "has_questions": false, "keywords": "volume, of, rotation, calculus, math", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution---part-2", "duration": 451, "translated_title": "Disc method (rotating f(x) about x axis)", "translated_description_html": "The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis", "id": "24218", "description_html": "The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis", "title": "Disc method (rotating f(x) about x axis)", "progress_key": "v24218", "edit_slug": "edit/v/24218", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis", "extra_properties": null, "node_slug": "v/solid-of-revolution---part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iUzfsUOl3-A.mp4/iUzfsUOl3-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iUzfsUOl3-A.mp4/iUzfsUOl3-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iUzfsUOl3-A.m3u8/iUzfsUOl3-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iUzfsUOl3-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24218", "sha": "6816102050ed0a244175320a54a0f1c33eed46fd", "translated_description": "The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis", "image_url": "https://img.youtube.com/vi/iUzfsUOl3-A/hqdefault.jpg", "youtube_id": "iUzfsUOl3-A", "content_kind": "Video", "readable_id": "solid-of-revolution---part-2"}, {"translated_youtube_id": "tqfU9mC2yFU", "relative_url": "/video/solid-of-revolution--part-3", "has_questions": false, "keywords": "math, calculus, volume, rotation, disk, solid, revlution, sphere, radius", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-3", "duration": 539, "translated_title": "Volume of a sphere", "translated_description_html": "Figuring out the equation for the volume of a sphere.", "id": "24220", "description_html": "Figuring out the equation for the volume of a sphere.", "title": "Volume of a sphere", "progress_key": "v24220", "edit_slug": "edit/v/24220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the equation for the volume of a sphere.", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tqfU9mC2yFU.mp4/tqfU9mC2yFU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tqfU9mC2yFU.mp4/tqfU9mC2yFU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tqfU9mC2yFU.m3u8/tqfU9mC2yFU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tqfU9mC2yFU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24220", "sha": "228a3a6f41c7b5db0a364598abf95fff4eb7d3bd", "translated_description": "Figuring out the equation for the volume of a sphere.", "image_url": "https://img.youtube.com/vi/tqfU9mC2yFU/hqdefault.jpg", "youtube_id": "tqfU9mC2yFU", "content_kind": "Video", "readable_id": "solid-of-revolution--part-3"}, {"translated_youtube_id": "OtmjNuiTHp0", "relative_url": "/video/solid-of-revolution--part-4", "has_questions": false, "keywords": "calculus, revolution, rotation, solid, math", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-4", "duration": 502, "translated_title": "Disc method with outer and inner function boundaries", "translated_description_html": "More volumes around the x-axis.", "id": "24222", "description_html": "More volumes around the x-axis.", "title": "Disc method with outer and inner function boundaries", "progress_key": "v24222", "edit_slug": "edit/v/24222", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More volumes around the x-axis.", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OtmjNuiTHp0.mp4/OtmjNuiTHp0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OtmjNuiTHp0.mp4/OtmjNuiTHp0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OtmjNuiTHp0.m3u8/OtmjNuiTHp0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OtmjNuiTHp0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24222", "sha": "f5e843285e4031f5a625f7c74cd8ce350c89b099", "translated_description": "More volumes around the x-axis.", "image_url": "https://img.youtube.com/vi/OtmjNuiTHp0/hqdefault.jpg", "youtube_id": "OtmjNuiTHp0", "content_kind": "Video", "readable_id": "solid-of-revolution--part-4"}, {"translated_youtube_id": "NIdqkwocNuE", "relative_url": "/video/solid-of-revolution--part-5", "has_questions": false, "keywords": "solid, volume, revolution, rotation, shell, disk, calculus", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-5", "duration": 569, "translated_title": "Shell method to rotate around y-axis", "translated_description_html": "Use the \"shell method\" to rotate about the y-axis", "id": "24224", "description_html": "Use the \"shell method\" to rotate about the y-axis", "title": "Shell method to rotate around y-axis", "progress_key": "v24224", "edit_slug": "edit/v/24224", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Use the \"shell method\" to rotate about the y-axis", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-5", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NIdqkwocNuE.mp4/NIdqkwocNuE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NIdqkwocNuE.mp4/NIdqkwocNuE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NIdqkwocNuE.m3u8/NIdqkwocNuE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NIdqkwocNuE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24224", "sha": "19c03aad91ea1737a41739592e0ba89a6ccf2c76", "translated_description": "Use the \"shell method\" to rotate about the y-axis", "image_url": "https://img.youtube.com/vi/NIdqkwocNuE/hqdefault.jpg", "youtube_id": "NIdqkwocNuE", "content_kind": "Video", "readable_id": "solid-of-revolution--part-5"}, {"translated_youtube_id": "F2psxMnGdUw", "relative_url": "/video/solid-of-revolution--part-6", "has_questions": false, "keywords": "solid, revolution, volume, rotation, calculus, disk", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-6", "duration": 559, "translated_title": "Disc method: Rotating x = f(y) around the y-axis", "translated_description_html": "Using the disk method around the y-axis.", "id": "24226", "description_html": "Using the disk method around the y-axis.", "title": "Disc method: Rotating x = f(y) around the y-axis", "progress_key": "v24226", "edit_slug": "edit/v/24226", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the disk method around the y-axis.", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-6", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F2psxMnGdUw.mp4/F2psxMnGdUw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F2psxMnGdUw.mp4/F2psxMnGdUw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F2psxMnGdUw.m3u8/F2psxMnGdUw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F2psxMnGdUw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24226", "sha": "556f9bfa93765b72884e4a3df5a06c4d982d79f2", "translated_description": "Using the disk method around the y-axis.", "image_url": "https://img.youtube.com/vi/F2psxMnGdUw/hqdefault.jpg", "youtube_id": "F2psxMnGdUw", "content_kind": "Video", "readable_id": "solid-of-revolution--part-6"}, {"translated_youtube_id": "IZ8W-h764Cc", "relative_url": "/video/solid-of-revolution--part-7", "has_questions": false, "keywords": "volume, of, revolution, rotation, calculus", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-7", "duration": 606, "translated_title": "Shell method around a non-axis line", "translated_description_html": "Taking the revolution around something other than one of the axes.", "id": "24228", "description_html": "Taking the revolution around something other than one of the axes.", "title": "Shell method around a non-axis line", "progress_key": "v24228", "edit_slug": "edit/v/24228", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking the revolution around something other than one of the axes.", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-7", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IZ8W-h764Cc.mp4/IZ8W-h764Cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IZ8W-h764Cc.mp4/IZ8W-h764Cc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IZ8W-h764Cc.m3u8/IZ8W-h764Cc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IZ8W-h764Cc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24228", "sha": "a710a0cc8924b5ba9c11e96b14025663ec3a628c", "translated_description": "Taking the revolution around something other than one of the axes.", "image_url": "https://img.youtube.com/vi/IZ8W-h764Cc/hqdefault.jpg", "youtube_id": "IZ8W-h764Cc", "content_kind": "Video", "readable_id": "solid-of-revolution--part-7"}, {"translated_youtube_id": "4Flj9plmKGQ", "relative_url": "/video/solid-of-revolution--part-8", "has_questions": false, "keywords": "volume, of, rotation, calculus", "ka_url": "http://www.khanacademy.org/video/solid-of-revolution--part-8", "duration": 255, "translated_title": "Shell method around a non-axis line 2", "translated_description_html": "The last part of the problem in part 7", "id": "24230", "description_html": "The last part of the problem in part 7", "title": "Shell method around a non-axis line 2", "progress_key": "v24230", "edit_slug": "edit/v/24230", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The last part of the problem in part 7", "extra_properties": null, "node_slug": "v/solid-of-revolution--part-8", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Flj9plmKGQ.mp4/4Flj9plmKGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Flj9plmKGQ.mp4/4Flj9plmKGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Flj9plmKGQ.m3u8/4Flj9plmKGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Flj9plmKGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24230", "sha": "6690cefdd218f98c19e13a4c9a44767a1569d3f5", "translated_description": "The last part of the problem in part 7", "image_url": "https://img.youtube.com/vi/4Flj9plmKGQ/hqdefault.jpg", "youtube_id": "4Flj9plmKGQ", "content_kind": "Video", "readable_id": "solid-of-revolution--part-8"}], "twitter_url": "", "translated_description": "Using definite integration, we know how to find the area under a curve. But what about the volume of the 3-D shape generated by rotating a section of the curve about one of the axes (or any horizontal or vertical line for that matter). This in an older tutorial that is now covered in other tutorials.\n\nThis tutorial will give you a powerful tool and stretch your powers of 3-D visualization!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using definite integration, we know how to find the area under a curve. But what about the volume of the 3-D shape generated by rotating a section of the curve about one of the axes (or any horizontal or vertical line for that matter). This in an older tutorial that is now covered in other tutorials.\n\nThis tutorial will give you a powerful tool and stretch your powers of 3-D visualization!", "x_pos": 0.0, "node_slug": "solid_of_revolution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd628396e", "topic_page_url": "/math/calculus/solid_revolution_topic/solid_of_revolution", "extended_slug": "math/calculus/solid_revolution_topic/solid_of_revolution", "slug": "solid_of_revolution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c2f9edf3971ffff05a3c08455f10e47b010b6593", "standalone_title": "Solid of revolution", "y_pos": 0.0, "current_revision_key": "c2f9edf3971ffff05a3c08455f10e47b010b6593", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Using definite integrals with the shell and disc methods to find volumes of solids of revolution.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using definite integrals with the shell and disc methods to find volumes of solids of revolution.", "x_pos": 0.0, "node_slug": "solid_revolution_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa7f36ed3", "topic_page_url": "/math/calculus/solid_revolution_topic", "extended_slug": "math/calculus/solid_revolution_topic", "slug": "solid_revolution_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4f048ebfed8c39a5d3999697e73e25ec58ecb113", "standalone_title": "Solid of revolution", "y_pos": 0.0, "current_revision_key": "4f048ebfed8c39a5d3999697e73e25ec58ecb113", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc", "translated_standalone_title": "Sequences, series and function approximation", "translated_title": "Sequences, series and function approximation", "gplus_url": "", "id": "xd5b0e615", "old_key_name": "0REj2d3fcvW9Qsj2hZLuebQMAaTNaG9WTlYElYrf", "hide": false, "title": "Sequences, series and function approximation", "child_data": [{"kind": "Topic", "id": "x07435c26"}, {"kind": "Topic", "id": "xbbee5e70"}, {"kind": "Topic", "id": "x8c49ced5"}, {"kind": "Topic", "id": "x1884cccf"}, {"kind": "Topic", "id": "xdb9da53e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc/calculus-sequences", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc/calculus-sequences", "translated_standalone_title": "Sequences", "translated_title": "Sequences", "gplus_url": "", "id": "x07435c26", "old_key_name": null, "hide": false, "title": "Sequences", "child_data": [{"kind": "Video", "id": 1383721311}, {"kind": "Video", "id": "x49480933"}, {"kind": "Video", "id": "x4ce851ac"}, {"kind": "Video", "id": "x172ba5d8"}, {"kind": "Exercise", "id": 1383425796}, {"kind": "Exercise", "id": 1383464822}, {"kind": "Video", "id": 1383707269}, {"kind": "Video", "id": "x1a7b5891"}, {"kind": "Exercise", "id": "x44c4dd54"}, {"kind": "Video", "id": 1392656058}, {"kind": "Video", "id": 1392561319}], "children": [{"translated_youtube_id": "KRFiAlo7t1E", "relative_url": "/video/explicit-and-recursive-definitions-of-sequences", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/explicit-and-recursive-definitions-of-sequences", "duration": 498, "translated_title": "Explicit and recursive definitions of sequences", "translated_description_html": "", "id": "1383721311", "description_html": "", "title": "Explicit and recursive definitions of sequences", "progress_key": "v1383721311", "edit_slug": "edit/v/1383721311", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/explicit-and-recursive-definitions-of-sequences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T01:23:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.mp4/KRFiAlo7t1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.mp4/KRFiAlo7t1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KRFiAlo7t1E.m3u8/KRFiAlo7t1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KRFiAlo7t1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383721311", "sha": "59c18f09b92f7d92730b9a483efa2cd17f2ce789", "translated_description": "", "image_url": "https://img.youtube.com/vi/KRFiAlo7t1E/hqdefault.jpg", "youtube_id": "KRFiAlo7t1E", "content_kind": "Video", "readable_id": "explicit-and-recursive-definitions-of-sequences"}, {"translated_youtube_id": "HiY5UElqfhs", "relative_url": "/video/terms-explicit-sequence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/terms-explicit-sequence", "duration": 138, "translated_title": "Finding terms of explicitly defined sequence", "translated_description_html": "", "id": "x49480933", "description_html": "", "title": "Finding terms of explicitly defined sequence", "progress_key": "vx49480933", "edit_slug": "edit/v/x49480933", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/terms-explicit-sequence", "deleted": false, "backup_timestamp": "2013-11-26T19:39:13Z", "date_added": "2013-11-26T19:39:13Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HiY5UElqfhs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx49480933", "sha": "5cebee32f9ff485321cf39c003e413d748a16326", "translated_description": "", "image_url": "https://img.youtube.com/vi/HiY5UElqfhs/hqdefault.jpg", "youtube_id": "HiY5UElqfhs", "content_kind": "Video", "readable_id": "terms-explicit-sequence"}, {"translated_youtube_id": "t96N4zaP-s8", "relative_url": "/video/term-of-recursive-sequence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/term-of-recursive-sequence", "duration": 152, "translated_title": "Finding the 4th term in recursively defined sequence", "translated_description_html": "", "id": "x4ce851ac", "description_html": "", "title": "Finding the 4th term in recursively defined sequence", "progress_key": "vx4ce851ac", "edit_slug": "edit/v/x4ce851ac", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/term-of-recursive-sequence", "deleted": false, "backup_timestamp": "2013-11-26T19:39:13Z", "date_added": "2013-11-26T19:39:13Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t96N4zaP-s8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4ce851ac", "sha": "437d59781a1c320a6a5b5d13a5a1a5d9b6b4aa10", "translated_description": "", "image_url": "https://img.youtube.com/vi/t96N4zaP-s8/hqdefault.jpg", "youtube_id": "t96N4zaP-s8", "content_kind": "Video", "readable_id": "term-of-recursive-sequence"}, {"translated_youtube_id": "W2NnNKtquaE", "relative_url": "/video/geometric-sequence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-sequence", "duration": 279, "translated_title": "Geometric sequence or progression", "translated_description_html": "", "id": "x172ba5d8", "description_html": "", "title": "Geometric sequence or progression", "progress_key": "vx172ba5d8", "edit_slug": "edit/v/x172ba5d8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-sequence", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W2NnNKtquaE.mp4/W2NnNKtquaE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W2NnNKtquaE.mp4/W2NnNKtquaE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W2NnNKtquaE.m3u8/W2NnNKtquaE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W2NnNKtquaE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx172ba5d8", "sha": "66fc708f6fbf9ed42fccc867876e2fcc40475705", "translated_description": "", "image_url": "https://img.youtube.com/vi/W2NnNKtquaE/hqdefault.jpg", "youtube_id": "W2NnNKtquaE", "content_kind": "Video", "readable_id": "geometric-sequence"}, {"translated_youtube_id": "lfZGtjSWcQs", "relative_url": "/video/convergent-and-divergent-sequences", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/convergent-and-divergent-sequences", "duration": 299, "translated_title": "Convergent and divergent sequences", "translated_description_html": "", "id": "1383707269", "description_html": "", "title": "Convergent and divergent sequences", "progress_key": "v1383707269", "edit_slug": "edit/v/1383707269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/convergent-and-divergent-sequences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T01:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lfZGtjSWcQs.mp4/lfZGtjSWcQs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lfZGtjSWcQs.mp4/lfZGtjSWcQs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lfZGtjSWcQs.m3u8/lfZGtjSWcQs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lfZGtjSWcQs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383707269", "sha": "c1558200394fa870c62bd67d15dcffb2070f0e3d", "translated_description": "", "image_url": "https://img.youtube.com/vi/lfZGtjSWcQs/hqdefault.jpg", "youtube_id": "lfZGtjSWcQs", "content_kind": "Video", "readable_id": "convergent-and-divergent-sequences"}, {"translated_youtube_id": "muqyereWEh4", "relative_url": "/video/identifying-sequence-convergence-divergence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/identifying-sequence-convergence-divergence", "duration": 233, "translated_title": "Identifying sequence convergence and divergence", "translated_description_html": "", "id": "x1a7b5891", "description_html": "", "title": "Identifying sequence convergence and divergence", "progress_key": "vx1a7b5891", "edit_slug": "edit/v/x1a7b5891", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/identifying-sequence-convergence-divergence", "deleted": false, "backup_timestamp": "2013-11-26T19:39:13Z", "date_added": "2013-11-26T19:39:13Z", "download_urls": {}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=muqyereWEh4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a7b5891", "sha": "044cd2f5ce7a9d59bcd66b63bc174ff20f25d4cf", "translated_description": "", "image_url": "https://img.youtube.com/vi/muqyereWEh4/hqdefault.jpg", "youtube_id": "muqyereWEh4", "content_kind": "Video", "readable_id": "identifying-sequence-convergence-divergence"}, {"translated_youtube_id": "wzw9ll80Zbc", "relative_url": "/video/definition-of-limit-of-a-sequence-and-sequence-convergence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/definition-of-limit-of-a-sequence-and-sequence-convergence", "duration": 289, "translated_title": "Definition of limit of a sequence and sequence convergence", "translated_description_html": "", "id": "1392656058", "description_html": "", "title": "Definition of limit of a sequence and sequence convergence", "progress_key": "v1392656058", "edit_slug": "edit/v/1392656058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/definition-of-limit-of-a-sequence-and-sequence-convergence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-19T16:40:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wzw9ll80Zbc.mp4/wzw9ll80Zbc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wzw9ll80Zbc.mp4/wzw9ll80Zbc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wzw9ll80Zbc.m3u8/wzw9ll80Zbc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wzw9ll80Zbc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1392656058", "sha": "90a77d95c8811f0a3e3f13e2918e4adc0a5d6ab0", "translated_description": "", "image_url": "https://img.youtube.com/vi/wzw9ll80Zbc/hqdefault.jpg", "youtube_id": "wzw9ll80Zbc", "content_kind": "Video", "readable_id": "definition-of-limit-of-a-sequence-and-sequence-convergence"}, {"translated_youtube_id": "-XRQovTI04Q", "relative_url": "/video/proving-a-sequence-converges", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/proving-a-sequence-converges", "duration": 331, "translated_title": "Proving a sequence converges", "translated_description_html": "", "id": "1392561319", "description_html": "", "title": "Proving a sequence converges", "progress_key": "v1392561319", "edit_slug": "edit/v/1392561319", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/proving-a-sequence-converges", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T16:42:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-XRQovTI04Q.mp4/-XRQovTI04Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-XRQovTI04Q.mp4/-XRQovTI04Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-XRQovTI04Q.m3u8/-XRQovTI04Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-XRQovTI04Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1392561319", "sha": "12aa559a8ffa86b562a243cf0d4a50c9ff3e1edb", "translated_description": "", "image_url": "https://img.youtube.com/vi/-XRQovTI04Q/hqdefault.jpg", "youtube_id": "-XRQovTI04Q", "content_kind": "Video", "readable_id": "proving-a-sequence-converges"}], "twitter_url": "", "translated_description": "In this tutorial, we'll review what sequences are, associated notation and convergence/divergence of sequences.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll review what sequences are, associated notation and convergence/divergence of sequences.", "x_pos": 0.0, "node_slug": "calculus-sequences", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-26T18:53:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax07435c26", "topic_page_url": "/math/calculus/sequences_series_approx_calc/calculus-sequences", "extended_slug": "math/calculus/sequences_series_approx_calc/calculus-sequences", "slug": "calculus-sequences", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4c62a2b327e14f648df1a0f13cb93fd107946539", "standalone_title": "Sequences", "y_pos": 0.0, "current_revision_key": "4c62a2b327e14f648df1a0f13cb93fd107946539", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc/calculus-series", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc/calculus-series", "translated_standalone_title": "Series", "translated_title": "Series", "gplus_url": "", "id": "xbbee5e70", "old_key_name": null, "hide": false, "title": "Series", "child_data": [{"kind": "Video", "id": "xea358b4a"}, {"kind": "Video", "id": 1393021992}, {"kind": "Exercise", "id": "x1264b701"}], "children": [{"translated_youtube_id": "5jwXThH6fg4", "relative_url": "/video/sigma-notation-sum", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sigma-notation-sum", "duration": 267, "translated_title": "Sigma notation for sums", "translated_description_html": "", "id": "xea358b4a", "description_html": "", "title": "Sigma notation for sums", "progress_key": "vxea358b4a", "edit_slug": "edit/v/xea358b4a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sigma-notation-sum", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.mp4/5jwXThH6fg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.mp4/5jwXThH6fg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5jwXThH6fg4.m3u8/5jwXThH6fg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5jwXThH6fg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxea358b4a", "sha": "9ae13d5a5e65073609c3d01a4043834cafb7c2fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/5jwXThH6fg4/hqdefault.jpg", "youtube_id": "5jwXThH6fg4", "content_kind": "Video", "readable_id": "sigma-notation-sum"}, {"translated_youtube_id": "rcRg_gO7-7E", "relative_url": "/video/series-as-sum-of-sequence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/series-as-sum-of-sequence", "duration": 173, "translated_title": "Series as sum of sequence", "translated_description_html": "", "id": "1393021992", "description_html": "", "title": "Series as sum of sequence", "progress_key": "v1393021992", "edit_slug": "edit/v/1393021992", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/series-as-sum-of-sequence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T19:56:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.mp4/rcRg_gO7-7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.mp4/rcRg_gO7-7E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcRg_gO7-7E.m3u8/rcRg_gO7-7E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcRg_gO7-7E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1393021992", "sha": "96ed07f4566a720d9ebf364b14822b14511ccb0c", "translated_description": "", "image_url": "https://img.youtube.com/vi/rcRg_gO7-7E/hqdefault.jpg", "youtube_id": "rcRg_gO7-7E", "content_kind": "Video", "readable_id": "series-as-sum-of-sequence"}], "twitter_url": "", "translated_description": "You're familiar with sequences and have been eager to sum them up. Well wait no longer! In this tutorial, we'll see that series are just sums of sequences and familiarize ourselves with the notation.\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with sequences and have been eager to sum them up. Well wait no longer! In this tutorial, we'll see that series are just sums of sequences and familiarize ourselves with the notation.\n", "x_pos": 0.0, "node_slug": "calculus-series", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-26T18:53:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbbee5e70", "topic_page_url": "/math/calculus/sequences_series_approx_calc/calculus-series", "extended_slug": "math/calculus/sequences_series_approx_calc/calculus-series", "slug": "calculus-series", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fd50169e902ce6a4874703f6f06d77e9a8a015e3", "standalone_title": "Series", "y_pos": 0.0, "current_revision_key": "fd50169e902ce6a4874703f6f06d77e9a8a015e3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc/seq_series_review", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc/seq_series_review", "translated_standalone_title": "Geometric series", "translated_title": "Geometric series", "gplus_url": "", "id": "x8c49ced5", "old_key_name": "GfJBajjFHNvCGrvm5GDL19B_dkGLIuAZvlMft6EU", "hide": false, "title": "Geometric series", "child_data": [{"kind": "Video", "id": "x8bcd35c6"}, {"kind": "Video", "id": "x363f77ba"}, {"kind": "Video", "id": "xc809ee47"}, {"kind": "Video", "id": "x16f67abe"}, {"kind": "Video", "id": "x9a18b2d7"}, {"kind": "Video", "id": "x9a32c336"}, {"kind": "Video", "id": "xb23a1b53"}, {"kind": "Exercise", "id": "x05d70249"}, {"kind": "Exercise", "id": "x421e068d"}], "children": [{"translated_youtube_id": "CecgFWTg9pQ", "relative_url": "/video/geometric-series-introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series-introduction", "duration": 268, "translated_title": "Geometric series", "translated_description_html": "", "id": "x8bcd35c6", "description_html": "", "title": "Geometric series", "progress_key": "vx8bcd35c6", "edit_slug": "edit/v/x8bcd35c6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series-introduction", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.mp4/CecgFWTg9pQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.mp4/CecgFWTg9pQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CecgFWTg9pQ.m3u8/CecgFWTg9pQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CecgFWTg9pQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8bcd35c6", "sha": "7e2f8cd0756af964f09766f45208ac31adef307b", "translated_description": "", "image_url": "https://img.youtube.com/vi/CecgFWTg9pQ/hqdefault.jpg", "youtube_id": "CecgFWTg9pQ", "content_kind": "Video", "readable_id": "geometric-series-introduction"}, {"translated_youtube_id": "i8THsl3AYFI", "relative_url": "/video/geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series", "duration": 578, "translated_title": "Formula for a finite geometric series", "translated_description_html": "", "id": "x363f77ba", "description_html": "", "title": "Formula for a finite geometric series", "progress_key": "vx363f77ba", "edit_slug": "edit/v/x363f77ba", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.mp4/i8THsl3AYFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.mp4/i8THsl3AYFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i8THsl3AYFI.m3u8/i8THsl3AYFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i8THsl3AYFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx363f77ba", "sha": "5c18efba70e933517db36c42619e3ef5c9a4c8ab", "translated_description": "", "image_url": "https://img.youtube.com/vi/i8THsl3AYFI/hqdefault.jpg", "youtube_id": "i8THsl3AYFI", "content_kind": "Video", "readable_id": "geometric-series"}, {"translated_youtube_id": "b-7kCymoUpg", "relative_url": "/video/infinite-geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infinite-geometric-series", "duration": 286, "translated_title": "Sum of an infinite geometric series", "translated_description_html": "", "id": "xc809ee47", "description_html": "", "title": "Sum of an infinite geometric series", "progress_key": "vxc809ee47", "edit_slug": "edit/v/xc809ee47", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/infinite-geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.mp4/b-7kCymoUpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.mp4/b-7kCymoUpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b-7kCymoUpg.m3u8/b-7kCymoUpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b-7kCymoUpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc809ee47", "sha": "a6262d1f9cb5dfbacee0729c0e539e616323c319", "translated_description": "", "image_url": "https://img.youtube.com/vi/b-7kCymoUpg/hqdefault.jpg", "youtube_id": "b-7kCymoUpg", "content_kind": "Video", "readable_id": "infinite-geometric-series"}, {"translated_youtube_id": "wqnpSzEzq1w", "relative_url": "/video/deriving-geometric-series-sum-formula", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/deriving-geometric-series-sum-formula", "duration": 474, "translated_title": "Another derivation of the sum of an infinite geometric series", "translated_description_html": "", "id": "x16f67abe", "description_html": "", "title": "Another derivation of the sum of an infinite geometric series", "progress_key": "vx16f67abe", "edit_slug": "edit/v/x16f67abe", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/deriving-geometric-series-sum-formula", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.mp4/wqnpSzEzq1w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.mp4/wqnpSzEzq1w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wqnpSzEzq1w.m3u8/wqnpSzEzq1w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wqnpSzEzq1w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16f67abe", "sha": "5c9be51a63a4ec02584db176ff594680a016e55d", "translated_description": "", "image_url": "https://img.youtube.com/vi/wqnpSzEzq1w/hqdefault.jpg", "youtube_id": "wqnpSzEzq1w", "content_kind": "Video", "readable_id": "deriving-geometric-series-sum-formula"}, {"translated_youtube_id": "KNrEAJeRIdo", "relative_url": "/video/geometric-series-convergence-divergence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/geometric-series-convergence-divergence", "duration": 256, "translated_title": "Geometric series convergence and divergence examples", "translated_description_html": "", "id": "x9a18b2d7", "description_html": "", "title": "Geometric series convergence and divergence examples", "progress_key": "vx9a18b2d7", "edit_slug": "edit/v/x9a18b2d7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/geometric-series-convergence-divergence", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.mp4/KNrEAJeRIdo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.mp4/KNrEAJeRIdo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KNrEAJeRIdo.m3u8/KNrEAJeRIdo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KNrEAJeRIdo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a18b2d7", "sha": "ba25ac1b8d8c6378c0b36e14cb315d08693a7e29", "translated_description": "", "image_url": "https://img.youtube.com/vi/KNrEAJeRIdo/hqdefault.jpg", "youtube_id": "KNrEAJeRIdo", "content_kind": "Video", "readable_id": "geometric-series-convergence-divergence"}, {"translated_youtube_id": "2BgWWsypzLA", "relative_url": "/video/repeating-decimal-geometric-series", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/repeating-decimal-geometric-series", "duration": 482, "translated_title": "Repeating decimal as infinite geometric series", "translated_description_html": "", "id": "x9a32c336", "description_html": "", "title": "Repeating decimal as infinite geometric series", "progress_key": "vx9a32c336", "edit_slug": "edit/v/x9a32c336", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/repeating-decimal-geometric-series", "deleted": false, "backup_timestamp": "2013-11-08T19:42:24Z", "date_added": "2013-11-08T19:42:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.mp4/2BgWWsypzLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.mp4/2BgWWsypzLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2BgWWsypzLA.m3u8/2BgWWsypzLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2BgWWsypzLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a32c336", "sha": "7d300bcf1f9890a83856be7dedbc21a1bf0ccd3a", "translated_description": "", "image_url": "https://img.youtube.com/vi/2BgWWsypzLA/hqdefault.jpg", "youtube_id": "2BgWWsypzLA", "content_kind": "Video", "readable_id": "repeating-decimal-geometric-series"}, {"translated_youtube_id": "tqTJZEglrvc", "relative_url": "/video/bouncing-ball-distance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bouncing-ball-distance", "duration": 310, "translated_title": "Vertical distance of bouncing ball", "translated_description_html": "", "id": "xb23a1b53", "description_html": "", "title": "Vertical distance of bouncing ball", "progress_key": "vxb23a1b53", "edit_slug": "edit/v/xb23a1b53", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/bouncing-ball-distance", "deleted": false, "backup_timestamp": "2013-11-08T19:42:25Z", "date_added": "2013-11-08T19:42:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.mp4/tqTJZEglrvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.mp4/tqTJZEglrvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tqTJZEglrvc.m3u8/tqTJZEglrvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tqTJZEglrvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb23a1b53", "sha": "e30bca706a3d4782349df71b8c88688e7f4a4752", "translated_description": "", "image_url": "https://img.youtube.com/vi/tqTJZEglrvc/hqdefault.jpg", "youtube_id": "tqTJZEglrvc", "content_kind": "Video", "readable_id": "bouncing-ball-distance"}], "twitter_url": "", "translated_description": "Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric series show up in life far more than you imagine. This tutorial will review all the important concepts and more!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric series show up in life far more than you imagine. This tutorial will review all the important concepts and more!", "x_pos": 0.0, "node_slug": "seq_series_review", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c49ced5", "topic_page_url": "/math/calculus/sequences_series_approx_calc/seq_series_review", "extended_slug": "math/calculus/sequences_series_approx_calc/seq_series_review", "slug": "seq_series_review", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "759b54eb2e829d48801ab071c0f1da974c251d53", "standalone_title": "Geometric series", "y_pos": 0.0, "current_revision_key": "759b54eb2e829d48801ab071c0f1da974c251d53", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc/maclaurin_taylor", "translated_standalone_title": "Maclaurin and Taylor series", "translated_title": "Maclaurin and Taylor series", "gplus_url": "", "id": "x1884cccf", "old_key_name": "RihpBFa3MJxpqPAKc0z-CXIpANMuAguCMUHnQw_2", "hide": false, "title": "Maclaurin and Taylor series", "child_data": [{"kind": "Video", "id": 89857202}, {"kind": "Video", "id": 89857203}, {"kind": "Video", "id": 89860962}, {"kind": "Video", "id": 89858536}, {"kind": "Video", "id": 90906155}, {"kind": "Video", "id": 90906156}, {"kind": "Video", "id": 90906157}, {"kind": "Video", "id": 90906158}, {"kind": "Video", "id": 250668427}, {"kind": "Video", "id": 250668428}], "children": [{"translated_youtube_id": "epgwuzzDHsQ", "relative_url": "/video/maclauren-and-taylor-series-intuition", "has_questions": false, "keywords": "calculus, taylor, maclauren, polynomial", "ka_url": "http://www.khanacademy.org/video/maclauren-and-taylor-series-intuition", "duration": 779, "translated_title": "Maclaurin and Taylor series intuition", "translated_description_html": "Approximating a function at 0 using a polynomial", "id": "89857202", "description_html": "Approximating a function at 0 using a polynomial", "title": "Maclaurin and Taylor series intuition", "progress_key": "v89857202", "edit_slug": "edit/v/89857202", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Approximating a function at 0 using a polynomial", "extra_properties": null, "node_slug": "v/maclauren-and-taylor-series-intuition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-17T23:24:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/epgwuzzDHsQ.mp4/epgwuzzDHsQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/epgwuzzDHsQ.mp4/epgwuzzDHsQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/epgwuzzDHsQ.m3u8/epgwuzzDHsQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=epgwuzzDHsQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v89857202", "sha": "6c8c53b9b3bc32d777299397dbad13dd878d807f", "translated_description": "Approximating a function at 0 using a polynomial", "image_url": "https://img.youtube.com/vi/epgwuzzDHsQ/hqdefault.jpg", "youtube_id": "epgwuzzDHsQ", "content_kind": "Video", "readable_id": "maclauren-and-taylor-series-intuition"}, {"translated_youtube_id": "WWe7pZjc4s8", "relative_url": "/video/cosine-taylor-series-at-0--maclaurin", "has_questions": false, "keywords": "taylor, maclauren, approximation, polynomial", "ka_url": "http://www.khanacademy.org/video/cosine-taylor-series-at-0--maclaurin", "duration": 337, "translated_title": "Cosine Taylor series at 0 (Maclaurin)", "translated_description_html": "Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)", "id": "89857203", "description_html": "Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)", "title": "Cosine Taylor series at 0 (Maclaurin)", "progress_key": "v89857203", "edit_slug": "edit/v/89857203", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)", "extra_properties": null, "node_slug": "v/cosine-taylor-series-at-0--maclaurin", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-17T23:24:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WWe7pZjc4s8.mp4/WWe7pZjc4s8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WWe7pZjc4s8.mp4/WWe7pZjc4s8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WWe7pZjc4s8.m3u8/WWe7pZjc4s8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WWe7pZjc4s8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v89857203", "sha": "dacaedffb4d9ce33d47a3aef06b1578ccbae99a4", "translated_description": "Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)", "image_url": "https://img.youtube.com/vi/WWe7pZjc4s8/hqdefault.jpg", "youtube_id": "WWe7pZjc4s8", "content_kind": "Video", "readable_id": "cosine-taylor-series-at-0--maclaurin"}, {"translated_youtube_id": "LlKvubIqHc8", "relative_url": "/video/sine-taylor-series-at-0--maclaurin", "has_questions": false, "keywords": "sin, cos, taylor", "ka_url": "http://www.khanacademy.org/video/sine-taylor-series-at-0--maclaurin", "duration": 393, "translated_title": "Sine Taylor series at 0 (Maclaurin)", "translated_description_html": "Sine Taylor Series at 0 (Maclaurin)", "id": "89860962", "description_html": "Sine Taylor Series at 0 (Maclaurin)", "title": "Sine Taylor series at 0 (Maclaurin)", "progress_key": "v89860962", "edit_slug": "edit/v/89860962", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sine Taylor Series at 0 (Maclaurin)", "extra_properties": null, "node_slug": "v/sine-taylor-series-at-0--maclaurin", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-05-17T23:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LlKvubIqHc8.mp4/LlKvubIqHc8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LlKvubIqHc8.mp4/LlKvubIqHc8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LlKvubIqHc8.m3u8/LlKvubIqHc8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LlKvubIqHc8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v89860962", "sha": "26b5b563f377d3d9a4e78eaf0121d85b13994f25", "translated_description": "Sine Taylor Series at 0 (Maclaurin)", "image_url": "https://img.youtube.com/vi/LlKvubIqHc8/hqdefault.jpg", "youtube_id": "LlKvubIqHc8", "content_kind": "Video", "readable_id": "sine-taylor-series-at-0--maclaurin"}, {"translated_youtube_id": "JYQqml4-4q4", "relative_url": "/video/taylor-series-at-0--maclaurin--for-e-to-the-x", "has_questions": false, "keywords": "Taylor, Series, at, (Maclaurin), for, to, the", "ka_url": "http://www.khanacademy.org/video/taylor-series-at-0--maclaurin--for-e-to-the-x", "duration": 370, "translated_title": "Taylor series at 0 (Maclaurin) for e to the x", "translated_description_html": "Taylor Series at 0 (Maclaurin) for e to the x", "id": "89858536", "description_html": "Taylor Series at 0 (Maclaurin) for e to the x", "title": "Taylor series at 0 (Maclaurin) for e to the x", "progress_key": "v89858536", "edit_slug": "edit/v/89858536", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Taylor Series at 0 (Maclaurin) for e to the x", "extra_properties": null, "node_slug": "v/taylor-series-at-0--maclaurin--for-e-to-the-x", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-05-17T23:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JYQqml4-4q4.mp4/JYQqml4-4q4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JYQqml4-4q4.mp4/JYQqml4-4q4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JYQqml4-4q4.m3u8/JYQqml4-4q4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JYQqml4-4q4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v89858536", "sha": "cbd34dc5309eb51624882d5ec8fd8c2b06c607ce", "translated_description": "Taylor Series at 0 (Maclaurin) for e to the x", "image_url": "https://img.youtube.com/vi/JYQqml4-4q4/hqdefault.jpg", "youtube_id": "JYQqml4-4q4", "content_kind": "Video", "readable_id": "taylor-series-at-0--maclaurin--for-e-to-the-x"}, {"translated_youtube_id": "mgNtPOgFje0", "relative_url": "/video/euler-s-formula-and-euler-s-identity", "has_questions": false, "keywords": "calculus, taylor, maclaurin", "ka_url": "http://www.khanacademy.org/video/euler-s-formula-and-euler-s-identity", "duration": 687, "translated_title": "Euler's formula and Euler's identity", "translated_description_html": "Rationale for Euler's Formula and Euler's Identity", "id": "90906155", "description_html": "Rationale for Euler's Formula and Euler's Identity", "title": "Euler's formula and Euler's identity", "progress_key": "v90906155", "edit_slug": "edit/v/90906155", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rationale for Euler's Formula and Euler's Identity", "extra_properties": null, "node_slug": "v/euler-s-formula-and-euler-s-identity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-18T23:24:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mgNtPOgFje0.mp4/mgNtPOgFje0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mgNtPOgFje0.mp4/mgNtPOgFje0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mgNtPOgFje0.m3u8/mgNtPOgFje0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mgNtPOgFje0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v90906155", "sha": "56582b4652c30b1b228bb70b98bd0be3de7b77b8", "translated_description": "Rationale for Euler's Formula and Euler's Identity", "image_url": "https://img.youtube.com/vi/mgNtPOgFje0/hqdefault.jpg", "youtube_id": "mgNtPOgFje0", "content_kind": "Video", "readable_id": "euler-s-formula-and-euler-s-identity"}, {"translated_youtube_id": "8dMLK2Wueaw", "relative_url": "/video/visualizing-taylor-series-approximations", "has_questions": false, "keywords": "maclaurin, taylor, series, expansion, marquee, CC_39336_F-IF_7_e", "ka_url": "http://www.khanacademy.org/video/visualizing-taylor-series-approximations", "duration": 361, "translated_title": "Visualizing Taylor series approximations", "translated_description_html": "Using Wolfram Alpha to approximate sin(x)", "id": "90906156", "description_html": "Using Wolfram Alpha to approximate sin(x)", "title": "Visualizing Taylor series approximations", "progress_key": "v90906156", "edit_slug": "edit/v/90906156", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using Wolfram Alpha to approximate sin(x)", "extra_properties": null, "node_slug": "v/visualizing-taylor-series-approximations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-18T23:24:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8dMLK2Wueaw.mp4/8dMLK2Wueaw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8dMLK2Wueaw.mp4/8dMLK2Wueaw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8dMLK2Wueaw.m3u8/8dMLK2Wueaw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8dMLK2Wueaw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v90906156", "sha": "8e9de3068974fae6b70cb736fd8c8896a291193e", "translated_description": "Using Wolfram Alpha to approximate sin(x)", "image_url": "https://img.youtube.com/vi/8dMLK2Wueaw/hqdefault.jpg", "youtube_id": "8dMLK2Wueaw", "content_kind": "Video", "readable_id": "visualizing-taylor-series-approximations"}, {"translated_youtube_id": "1LxhXqD3_CE", "relative_url": "/video/generalized-taylor-series-approximation", "has_questions": false, "keywords": "taylor, maclaurin, function, approximation", "ka_url": "http://www.khanacademy.org/video/generalized-taylor-series-approximation", "duration": 447, "translated_title": "Generalized Taylor series approximation", "translated_description_html": "Approximating a function around a non-zero x value", "id": "90906157", "description_html": "Approximating a function around a non-zero x value", "title": "Generalized Taylor series approximation", "progress_key": "v90906157", "edit_slug": "edit/v/90906157", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Approximating a function around a non-zero x value", "extra_properties": null, "node_slug": "v/generalized-taylor-series-approximation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-18T23:24:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1LxhXqD3_CE.mp4/1LxhXqD3_CE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1LxhXqD3_CE.mp4/1LxhXqD3_CE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1LxhXqD3_CE.m3u8/1LxhXqD3_CE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1LxhXqD3_CE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v90906157", "sha": "a9fc72ef3775c2b7f767617497924d4fd9deaeee", "translated_description": "Approximating a function around a non-zero x value", "image_url": "https://img.youtube.com/vi/1LxhXqD3_CE/hqdefault.jpg", "youtube_id": "1LxhXqD3_CE", "content_kind": "Video", "readable_id": "generalized-taylor-series-approximation"}, {"translated_youtube_id": "AFMXixBVP-0", "relative_url": "/video/visualizing-taylor-series-for-e-x", "has_questions": false, "keywords": "Visualizing, Taylor, Series, for, e^x, CC_39336_F-IF_7_e", "ka_url": "http://www.khanacademy.org/video/visualizing-taylor-series-for-e-x", "duration": 398, "translated_title": "Visualizing Taylor series for e^x", "translated_description_html": "Visualizing Taylor Series for e^x", "id": "90906158", "description_html": "Visualizing Taylor Series for e^x", "title": "Visualizing Taylor series for e^x", "progress_key": "v90906158", "edit_slug": "edit/v/90906158", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing Taylor Series for e^x", "extra_properties": null, "node_slug": "v/visualizing-taylor-series-for-e-x", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-05-18T23:24:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AFMXixBVP-0.mp4/AFMXixBVP-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AFMXixBVP-0.mp4/AFMXixBVP-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AFMXixBVP-0.m3u8/AFMXixBVP-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AFMXixBVP-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v90906158", "sha": "386592899af4d98374553339a0c4edbc7c5774c6", "translated_description": "Visualizing Taylor Series for e^x", "image_url": "https://img.youtube.com/vi/AFMXixBVP-0/hqdefault.jpg", "youtube_id": "AFMXixBVP-0", "content_kind": "Video", "readable_id": "visualizing-taylor-series-for-e-x"}, {"translated_youtube_id": "wgkRH5Uoavk", "relative_url": "/video/error-or-remainder-of-a-taylor-polynomial-approximation", "has_questions": false, "keywords": "taylor, BC, calculus, AP, advanced, placement", "ka_url": "http://www.khanacademy.org/video/error-or-remainder-of-a-taylor-polynomial-approximation", "duration": 687, "translated_title": "Error or remainder of a Taylor polynomial approximation", "translated_description_html": "Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function", "id": "250668427", "description_html": "Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function", "title": "Error or remainder of a Taylor polynomial approximation", "progress_key": "v250668427", "edit_slug": "edit/v/250668427", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function", "extra_properties": null, "node_slug": "v/error-or-remainder-of-a-taylor-polynomial-approximation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-16T10:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wgkRH5Uoavk.mp4/wgkRH5Uoavk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wgkRH5Uoavk.mp4/wgkRH5Uoavk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wgkRH5Uoavk.m3u8/wgkRH5Uoavk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wgkRH5Uoavk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v250668427", "sha": "e5d78b7a108c8b92706bbba970e8f8d5b84e691f", "translated_description": "Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function", "image_url": "https://img.youtube.com/vi/wgkRH5Uoavk/hqdefault.jpg", "youtube_id": "wgkRH5Uoavk", "content_kind": "Video", "readable_id": "error-or-remainder-of-a-taylor-polynomial-approximation"}, {"translated_youtube_id": "yUUPP70Fhpo", "relative_url": "/video/proof--bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation", "has_questions": false, "keywords": "lagrange, taylor, polynomial, approximation", "ka_url": "http://www.khanacademy.org/video/proof--bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation", "duration": 908, "translated_title": "Proof: Bounding the error or remainder of a taylor polynomial approximation", "translated_description_html": "Proof of the Lagrange Error Bound (the bound of the error)", "id": "250668428", "description_html": "Proof of the Lagrange Error Bound (the bound of the error)", "title": "Proof: Bounding the error or remainder of a taylor polynomial approximation", "progress_key": "v250668428", "edit_slug": "edit/v/250668428", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof of the Lagrange Error Bound (the bound of the error)", "extra_properties": null, "node_slug": "v/proof--bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-16T10:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUUPP70Fhpo.mp4/yUUPP70Fhpo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUUPP70Fhpo.mp4/yUUPP70Fhpo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUUPP70Fhpo.m3u8/yUUPP70Fhpo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUUPP70Fhpo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v250668428", "sha": "472310db4aa01d198a485bd9ba8f9a1ed92942c7", "translated_description": "Proof of the Lagrange Error Bound (the bound of the error)", "image_url": "https://img.youtube.com/vi/yUUPP70Fhpo/hqdefault.jpg", "youtube_id": "yUUPP70Fhpo", "content_kind": "Video", "readable_id": "proof--bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation"}], "twitter_url": "", "translated_description": "In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.\n\nIf that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.\n\nIf that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.", "x_pos": 0.0, "node_slug": "maclaurin_taylor", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-06T18:46:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1884cccf", "topic_page_url": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor", "extended_slug": "math/calculus/sequences_series_approx_calc/maclaurin_taylor", "slug": "maclaurin_taylor", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3fd515ac2cdcd80aca6d31d7fe8a76a186fccf24", "standalone_title": "Maclaurin and Taylor series", "y_pos": 0.0, "current_revision_key": "3fd515ac2cdcd80aca6d31d7fe8a76a186fccf24", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/sequences_series_approx_calc/old_maclaurin_series", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/sequences_series_approx_calc/old_maclaurin_series", "translated_standalone_title": "Sal's old Maclaurin and Taylor series tutorial", "translated_title": "Sal's old Maclaurin and Taylor series tutorial", "gplus_url": "", "id": "xdb9da53e", "old_key_name": "VaeEqRqcOLAgERdAObOq83IFDOQBl7xrqbXw2mYL", "hide": false, "title": "Sal's old Maclaurin and Taylor series tutorial", "child_data": [{"kind": "Video", "id": 24236}, {"kind": "Video", "id": 24238}, {"kind": "Video", "id": 24240}, {"kind": "Video", "id": 24242}, {"kind": "Video", "id": 24244}, {"kind": "Video", "id": 24246}, {"kind": "Video", "id": 24248}, {"kind": "Video", "id": 24250}], "children": [{"translated_youtube_id": "sy132cgqaiU", "relative_url": "/video/polynomial-approximation-of-functions--part-1", "has_questions": false, "keywords": "power, maclauren, taylor, series, derivative, infinite, sum", "ka_url": "http://www.khanacademy.org/video/polynomial-approximation-of-functions--part-1", "duration": 585, "translated_title": "Polynomial approximation of functions (part 1)", "translated_description_html": "Using a polynomial to approximate a function at f(0).", "id": "24236", "description_html": "Using a polynomial to approximate a function at f(0).", "title": "Polynomial approximation of functions (part 1)", "progress_key": "v24236", "edit_slug": "edit/v/24236", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a polynomial to approximate a function at f(0).", "extra_properties": null, "node_slug": "v/polynomial-approximation-of-functions--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sy132cgqaiU.mp4/sy132cgqaiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sy132cgqaiU.mp4/sy132cgqaiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sy132cgqaiU.m3u8/sy132cgqaiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sy132cgqaiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24236", "sha": "821487f46579dafdcf626238cb56eb880b61bfc3", "translated_description": "Using a polynomial to approximate a function at f(0).", "image_url": "https://img.youtube.com/vi/sy132cgqaiU/hqdefault.jpg", "youtube_id": "sy132cgqaiU", "content_kind": "Video", "readable_id": "polynomial-approximation-of-functions--part-1"}, {"translated_youtube_id": "3JG3qn7-Sac", "relative_url": "/video/polynomial-approximation-of-functions--part-2", "has_questions": false, "keywords": "power, maclauren, taylor, series, derivative, infinite, sum", "ka_url": "http://www.khanacademy.org/video/polynomial-approximation-of-functions--part-2", "duration": 603, "translated_title": "Polynomial approximation of functions (part 2)", "translated_description_html": "Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)", "id": "24238", "description_html": "Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)", "title": "Polynomial approximation of functions (part 2)", "progress_key": "v24238", "edit_slug": "edit/v/24238", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)", "extra_properties": null, "node_slug": "v/polynomial-approximation-of-functions--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3JG3qn7-Sac.mp4/3JG3qn7-Sac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3JG3qn7-Sac.mp4/3JG3qn7-Sac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3JG3qn7-Sac.m3u8/3JG3qn7-Sac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3JG3qn7-Sac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24238", "sha": "1d3bbe1d6cc364381b8a120bcde88e169532175c", "translated_description": "Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)", "image_url": "https://img.youtube.com/vi/3JG3qn7-Sac/hqdefault.jpg", "youtube_id": "3JG3qn7-Sac", "content_kind": "Video", "readable_id": "polynomial-approximation-of-functions--part-2"}, {"translated_youtube_id": "XZDGrbyz0v0", "relative_url": "/video/approximating-functions-with-polynomials--part-3", "has_questions": false, "keywords": "power, maclauren, taylor, series, derivative, infinite, sum", "ka_url": "http://www.khanacademy.org/video/approximating-functions-with-polynomials--part-3", "duration": 433, "translated_title": "Approximating functions with polynomials (part 3)", "translated_description_html": "A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.", "id": "24240", "description_html": "A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.", "title": "Approximating functions with polynomials (part 3)", "progress_key": "v24240", "edit_slug": "edit/v/24240", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.", "extra_properties": null, "node_slug": "v/approximating-functions-with-polynomials--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XZDGrbyz0v0.mp4/XZDGrbyz0v0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XZDGrbyz0v0.mp4/XZDGrbyz0v0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XZDGrbyz0v0.m3u8/XZDGrbyz0v0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XZDGrbyz0v0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24240", "sha": "66bf9afeede73c7c566f34957f1b0cd2f9850ece", "translated_description": "A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.", "image_url": "https://img.youtube.com/vi/XZDGrbyz0v0/hqdefault.jpg", "youtube_id": "XZDGrbyz0v0", "content_kind": "Video", "readable_id": "approximating-functions-with-polynomials--part-3"}, {"translated_youtube_id": "gcJeg4SdIpU", "relative_url": "/video/polynomial-approximation-of-functions--part-4", "has_questions": false, "keywords": "power, maclaurin, taylor, series, derivative, infinite, sum", "ka_url": "http://www.khanacademy.org/video/polynomial-approximation-of-functions--part-4", "duration": 599, "translated_title": "Polynomial approximation of functions (part 4)", "translated_description_html": "Approximating cos x with a Maclaurin series.", "id": "24242", "description_html": "Approximating cos x with a Maclaurin series.", "title": "Polynomial approximation of functions (part 4)", "progress_key": "v24242", "edit_slug": "edit/v/24242", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Approximating cos x with a Maclaurin series.", "extra_properties": null, "node_slug": "v/polynomial-approximation-of-functions--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gcJeg4SdIpU.mp4/gcJeg4SdIpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gcJeg4SdIpU.mp4/gcJeg4SdIpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gcJeg4SdIpU.m3u8/gcJeg4SdIpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gcJeg4SdIpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24242", "sha": "3df4d5912d04cfdfdd16ef065e8cc211239e5ebc", "translated_description": "Approximating cos x with a Maclaurin series.", "image_url": "https://img.youtube.com/vi/gcJeg4SdIpU/hqdefault.jpg", "youtube_id": "gcJeg4SdIpU", "content_kind": "Video", "readable_id": "polynomial-approximation-of-functions--part-4"}, {"translated_youtube_id": "9AoDucUmO20", "relative_url": "/video/polynomial-approximations-of-functions--part-5", "has_questions": false, "keywords": "math, calculus, series, maclaurin, taylor, sin", "ka_url": "http://www.khanacademy.org/video/polynomial-approximations-of-functions--part-5", "duration": 564, "translated_title": "Polynomial approximations of functions (part 5)", "translated_description_html": "MacLaurin representation of sin x", "id": "24244", "description_html": "MacLaurin representation of sin x", "title": "Polynomial approximations of functions (part 5)", "progress_key": "v24244", "edit_slug": "edit/v/24244", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "MacLaurin representation of sin x", "extra_properties": null, "node_slug": "v/polynomial-approximations-of-functions--part-5", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9AoDucUmO20.mp4/9AoDucUmO20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9AoDucUmO20.mp4/9AoDucUmO20.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9AoDucUmO20.m3u8/9AoDucUmO20.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9AoDucUmO20&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24244", "sha": "0da88a655613162f6dcf12e1809d8cb101ed3cd9", "translated_description": "MacLaurin representation of sin x", "image_url": "https://img.youtube.com/vi/9AoDucUmO20/hqdefault.jpg", "youtube_id": "9AoDucUmO20", "content_kind": "Video", "readable_id": "polynomial-approximations-of-functions--part-5"}, {"translated_youtube_id": "-gRNRBCG3Ow", "relative_url": "/video/polynomial-approximation-of-functions--part-6", "has_questions": false, "keywords": "religion, calculus, universe, order, cos, sin, euler, mathematics, math", "ka_url": "http://www.khanacademy.org/video/polynomial-approximation-of-functions--part-6", "duration": 599, "translated_title": "Polynomial approximation of functions (part 6)", "translated_description_html": "A pattern emerges!", "id": "24246", "description_html": "A pattern emerges!", "title": "Polynomial approximation of functions (part 6)", "progress_key": "v24246", "edit_slug": "edit/v/24246", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A pattern emerges!", "extra_properties": null, "node_slug": "v/polynomial-approximation-of-functions--part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-gRNRBCG3Ow.mp4/-gRNRBCG3Ow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-gRNRBCG3Ow.mp4/-gRNRBCG3Ow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-gRNRBCG3Ow.m3u8/-gRNRBCG3Ow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-gRNRBCG3Ow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24246", "sha": "040c205b960a2e17d3be077e0e051ee05fea7847", "translated_description": "A pattern emerges!", "image_url": "https://img.youtube.com/vi/-gRNRBCG3Ow/hqdefault.jpg", "youtube_id": "-gRNRBCG3Ow", "content_kind": "Video", "readable_id": "polynomial-approximation-of-functions--part-6"}, {"translated_youtube_id": "bC5Lahh4Aus", "relative_url": "/video/polynomial-approximation-of-functions--part-7", "has_questions": false, "keywords": "math, religion, God, universe, order, euler, pi", "ka_url": "http://www.khanacademy.org/video/polynomial-approximation-of-functions--part-7", "duration": 618, "translated_title": "Polynomial approximation of functions (part 7)", "translated_description_html": "The most amazing conclusion in mathematics!", "id": "24248", "description_html": "The most amazing conclusion in mathematics!", "title": "Polynomial approximation of functions (part 7)", "progress_key": "v24248", "edit_slug": "edit/v/24248", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The most amazing conclusion in mathematics!", "extra_properties": null, "node_slug": "v/polynomial-approximation-of-functions--part-7", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bC5Lahh4Aus.mp4/bC5Lahh4Aus.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bC5Lahh4Aus.mp4/bC5Lahh4Aus.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bC5Lahh4Aus.m3u8/bC5Lahh4Aus.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bC5Lahh4Aus&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24248", "sha": "2db20e9cb80911aa60be6df22bd870a58b2724f7", "translated_description": "The most amazing conclusion in mathematics!", "image_url": "https://img.youtube.com/vi/bC5Lahh4Aus/hqdefault.jpg", "youtube_id": "bC5Lahh4Aus", "content_kind": "Video", "readable_id": "polynomial-approximation-of-functions--part-7"}, {"translated_youtube_id": "8SsC5st4LnI", "relative_url": "/video/taylor-polynomials", "has_questions": false, "keywords": "taylor, series, polynomial, approximation", "ka_url": "http://www.khanacademy.org/video/taylor-polynomials", "duration": 1085, "translated_title": "Taylor polynomials", "translated_description_html": "Approximating a function with a Taylor Polynomial", "id": "24250", "description_html": "Approximating a function with a Taylor Polynomial", "title": "Taylor polynomials", "progress_key": "v24250", "edit_slug": "edit/v/24250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Approximating a function with a Taylor Polynomial", "extra_properties": null, "node_slug": "v/taylor-polynomials", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8SsC5st4LnI.mp4/8SsC5st4LnI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8SsC5st4LnI.mp4/8SsC5st4LnI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8SsC5st4LnI.m3u8/8SsC5st4LnI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8SsC5st4LnI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24250", "sha": "2b97531276858229296299bdcd27b2d020518d90", "translated_description": "Approximating a function with a Taylor Polynomial", "image_url": "https://img.youtube.com/vi/8SsC5st4LnI/hqdefault.jpg", "youtube_id": "8SsC5st4LnI", "content_kind": "Video", "readable_id": "taylor-polynomials"}], "twitter_url": "", "translated_description": "Everything in this tutorial is covered (with better resolution and handwriting) in the \"other\" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Everything in this tutorial is covered (with better resolution and handwriting) in the \"other\" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.", "x_pos": 0.0, "node_slug": "old_maclaurin_series", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb9da53e", "topic_page_url": "/math/calculus/sequences_series_approx_calc/old_maclaurin_series", "extended_slug": "math/calculus/sequences_series_approx_calc/old_maclaurin_series", "slug": "old_maclaurin_series", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "21e73dd7cdce372bf8c3b5d738a13ae8754c004f", "standalone_title": "Sal's old Maclaurin and Taylor series tutorial", "y_pos": 0.0, "current_revision_key": "21e73dd7cdce372bf8c3b5d738a13ae8754c004f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Sequences, series and approximating functions. Maclaurin and Taylor series.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sequences, series and approximating functions. Maclaurin and Taylor series.", "x_pos": 0.0, "node_slug": "sequences_series_approx_calc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd5b0e615", "topic_page_url": "/math/calculus/sequences_series_approx_calc", "extended_slug": "math/calculus/sequences_series_approx_calc", "slug": "sequences_series_approx_calc", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8fcbd594617fa7bd16dd3449ebea638b3229a8a1", "standalone_title": "Sequences, series and function approximation", "y_pos": 0.0, "current_revision_key": "8fcbd594617fa7bd16dd3449ebea638b3229a8a1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/ap_calc_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/ap_calc_topic", "translated_standalone_title": "AP Calculus practice questions", "translated_title": "AP Calculus practice questions", "gplus_url": "", "id": "x4a22631b", "old_key_name": "tYEsL7MEqnPdtRfmCRh93598-kPnQ_R2xYPcsurV", "hide": false, "title": "AP Calculus practice questions", "child_data": [{"kind": "Topic", "id": "xfdab3ab6"}, {"kind": "Topic", "id": "x78f9d2a9"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/ap_calc_topic/ab_examples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/ap_calc_topic/ab_examples", "translated_standalone_title": "Calculus AB example questions", "translated_title": "Calculus AB example questions", "gplus_url": "", "id": "xfdab3ab6", "old_key_name": "_YQjO9cNgOg8wzLn8Lbv5jTxM_tbNpWzcK-LFM_u", "hide": false, "title": "Calculus AB example questions", "child_data": [{"kind": "Video", "id": 244051678}, {"kind": "Video", "id": 235193469}, {"kind": "Video", "id": 235193472}, {"kind": "Video", "id": 235193471}, {"kind": "Video", "id": 235193473}, {"kind": "Video", "id": 237109444}, {"kind": "Video", "id": 237109441}, {"kind": "Video", "id": 237109443}, {"kind": "Video", "id": 238520373}, {"kind": "Video", "id": 238520370}, {"kind": "Video", "id": 238520372}, {"kind": "Video", "id": 238520371}, {"kind": "Video", "id": 244051677}, {"kind": "Video", "id": 244051673}, {"kind": "Video", "id": 244051676}], "children": [{"translated_youtube_id": "ppBJWf_Wdmc", "relative_url": "/video/2011-calculus-ab-free-response--1a", "has_questions": false, "keywords": "calculus, AP, 2011, advanced, placement", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--1a", "duration": 448, "translated_title": "2011 Calculus AB free response #1a", "translated_description_html": "Determining whether speed is increasing. Difference between speed and acceleration", "id": "244051678", "description_html": "Determining whether speed is increasing. Difference between speed and acceleration", "title": "2011 Calculus AB free response #1a", "progress_key": "v244051678", "edit_slug": "edit/v/244051678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining whether speed is increasing. Difference between speed and acceleration", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--1a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ppBJWf_Wdmc.mp4/ppBJWf_Wdmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ppBJWf_Wdmc.mp4/ppBJWf_Wdmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ppBJWf_Wdmc.m3u8/ppBJWf_Wdmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ppBJWf_Wdmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051678", "sha": "4349cff868b966ce7d83636dfc3e65aca029dba0", "translated_description": "Determining whether speed is increasing. Difference between speed and acceleration", "image_url": "https://img.youtube.com/vi/ppBJWf_Wdmc/hqdefault.jpg", "youtube_id": "ppBJWf_Wdmc", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--1a"}, {"translated_youtube_id": "Z3X6QqezqUg", "relative_url": "/video/2011-calculus-ab-free-response--2--a---b", "has_questions": false, "keywords": "trapezoidal, sum, integration, differentiation", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--2--a---b", "duration": 556, "translated_title": "2011 Calculus AB free response #2 (a & b)", "translated_description_html": "Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals", "id": "235193469", "description_html": "Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals", "title": "2011 Calculus AB free response #2 (a & b)", "progress_key": "v235193469", "edit_slug": "edit/v/235193469", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--2--a---b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-08T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z3X6QqezqUg.mp4/Z3X6QqezqUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z3X6QqezqUg.mp4/Z3X6QqezqUg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z3X6QqezqUg.m3u8/Z3X6QqezqUg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z3X6QqezqUg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v235193469", "sha": "d56cf90ca4aa77f6b75788ba7294ccfadcea0857", "translated_description": "Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals", "image_url": "https://img.youtube.com/vi/Z3X6QqezqUg/hqdefault.jpg", "youtube_id": "Z3X6QqezqUg", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--2--a---b"}, {"translated_youtube_id": "2axaRJQkfVk", "relative_url": "/video/2011-calculus-ab-free-response--2--c---d", "has_questions": false, "keywords": "advanced, placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--2--c---d", "duration": 447, "translated_title": "2011 Calculus AB free response #2 (c & d)", "translated_description_html": "Second fundamental theorem of calculus application", "id": "235193472", "description_html": "Second fundamental theorem of calculus application", "title": "2011 Calculus AB free response #2 (c & d)", "progress_key": "v235193472", "edit_slug": "edit/v/235193472", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Second fundamental theorem of calculus application", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--2--c---d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-08T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2axaRJQkfVk.mp4/2axaRJQkfVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2axaRJQkfVk.mp4/2axaRJQkfVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2axaRJQkfVk.m3u8/2axaRJQkfVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2axaRJQkfVk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v235193472", "sha": "c2cffac962a276a55ec50e90105cf85dde2e8321", "translated_description": "Second fundamental theorem of calculus application", "image_url": "https://img.youtube.com/vi/2axaRJQkfVk/hqdefault.jpg", "youtube_id": "2axaRJQkfVk", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--2--c---d"}, {"translated_youtube_id": "9UhChwcVWq8", "relative_url": "/video/2011-calculus-ab-free-response--3--a---b", "has_questions": false, "keywords": "advanced, placement", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--3--a---b", "duration": 493, "translated_title": "2011 Calculus AB free response #3 (a & b)", "translated_description_html": "Equation of a tangent line and area between curves", "id": "235193471", "description_html": "Equation of a tangent line and area between curves", "title": "2011 Calculus AB free response #3 (a & b)", "progress_key": "v235193471", "edit_slug": "edit/v/235193471", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equation of a tangent line and area between curves", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--3--a---b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-08T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9UhChwcVWq8.mp4/9UhChwcVWq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9UhChwcVWq8.mp4/9UhChwcVWq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9UhChwcVWq8.m3u8/9UhChwcVWq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9UhChwcVWq8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v235193471", "sha": "b09eb93b567b3169266624524b0483742fe3b435", "translated_description": "Equation of a tangent line and area between curves", "image_url": "https://img.youtube.com/vi/9UhChwcVWq8/hqdefault.jpg", "youtube_id": "9UhChwcVWq8", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--3--a---b"}, {"translated_youtube_id": "v-H_7o7EMoU", "relative_url": "/video/2011-calculus-ab-free-response--3--c", "has_questions": false, "keywords": "solid, rotation, disk, method", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--3--c", "duration": 399, "translated_title": "2011 Calculus AB free response #3 (c)", "translated_description_html": "Disk method to find the volume of a solid generated by rotation of a function", "id": "235193473", "description_html": "Disk method to find the volume of a solid generated by rotation of a function", "title": "2011 Calculus AB free response #3 (c)", "progress_key": "v235193473", "edit_slug": "edit/v/235193473", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Disk method to find the volume of a solid generated by rotation of a function", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--3--c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-08T10:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-H_7o7EMoU.mp4/v-H_7o7EMoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v-H_7o7EMoU.mp4/v-H_7o7EMoU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v-H_7o7EMoU.m3u8/v-H_7o7EMoU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v-H_7o7EMoU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v235193473", "sha": "57d32f8a670949479732aa3dea8042ab7ff3abda", "translated_description": "Disk method to find the volume of a solid generated by rotation of a function", "image_url": "https://img.youtube.com/vi/v-H_7o7EMoU/hqdefault.jpg", "youtube_id": "v-H_7o7EMoU", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--3--c"}, {"translated_youtube_id": "tnoPnyvVjyc", "relative_url": "/video/2011-calculus-ab-free-response--4a", "has_questions": false, "keywords": "advanced, placement, calculus, ap, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--4a", "duration": 288, "translated_title": "2011 Calculus AB free response #4a", "translated_description_html": "Taking derivatives and integrals of strangely defined functions", "id": "237109444", "description_html": "Taking derivatives and integrals of strangely defined functions", "title": "2011 Calculus AB free response #4a", "progress_key": "v237109444", "edit_slug": "edit/v/237109444", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking derivatives and integrals of strangely defined functions", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--4a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-09T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tnoPnyvVjyc.mp4/tnoPnyvVjyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tnoPnyvVjyc.mp4/tnoPnyvVjyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tnoPnyvVjyc.m3u8/tnoPnyvVjyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tnoPnyvVjyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v237109444", "sha": "062e3f8fe1f058f600782f4c17c62487d4324ca0", "translated_description": "Taking derivatives and integrals of strangely defined functions", "image_url": "https://img.youtube.com/vi/tnoPnyvVjyc/hqdefault.jpg", "youtube_id": "tnoPnyvVjyc", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--4a"}, {"translated_youtube_id": "OvMBNVi5bLY", "relative_url": "/video/2011-calculus-ab-free-response--4b", "has_questions": false, "keywords": "advanced, placement, exam, AP", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--4b", "duration": 795, "translated_title": "2011 Calculus AB free response #4b", "translated_description_html": "Absolute maximum over an interval. Critical points and differentiability.", "id": "237109441", "description_html": "Absolute maximum over an interval. Critical points and differentiability.", "title": "2011 Calculus AB free response #4b", "progress_key": "v237109441", "edit_slug": "edit/v/237109441", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Absolute maximum over an interval. Critical points and differentiability.", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--4b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-09T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OvMBNVi5bLY.mp4/OvMBNVi5bLY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OvMBNVi5bLY.mp4/OvMBNVi5bLY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OvMBNVi5bLY.m3u8/OvMBNVi5bLY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OvMBNVi5bLY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v237109441", "sha": "74823bfba8938867478f021270650774e91b18d8", "translated_description": "Absolute maximum over an interval. Critical points and differentiability.", "image_url": "https://img.youtube.com/vi/OvMBNVi5bLY/hqdefault.jpg", "youtube_id": "OvMBNVi5bLY", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--4b"}, {"translated_youtube_id": "M_ADc9jkBig", "relative_url": "/video/2011-calculus-ab-free-response--4c", "has_questions": false, "keywords": "inflection, advanced, placement, ap", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--4c", "duration": 264, "translated_title": "2011 Calculus AB free response #4c", "translated_description_html": "Finding the points of inflection for a strangely defined function", "id": "237109443", "description_html": "Finding the points of inflection for a strangely defined function", "title": "2011 Calculus AB free response #4c", "progress_key": "v237109443", "edit_slug": "edit/v/237109443", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the points of inflection for a strangely defined function", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--4c", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-09-09T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M_ADc9jkBig.mp4/M_ADc9jkBig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M_ADc9jkBig.mp4/M_ADc9jkBig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M_ADc9jkBig.m3u8/M_ADc9jkBig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M_ADc9jkBig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v237109443", "sha": "524b3c0b2dfc3b6d099db709b413c9c5fc7b37a6", "translated_description": "Finding the points of inflection for a strangely defined function", "image_url": "https://img.youtube.com/vi/M_ADc9jkBig/hqdefault.jpg", "youtube_id": "M_ADc9jkBig", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--4c"}, {"translated_youtube_id": "yX3JpmEgNHo", "relative_url": "/video/2011-calculus-ab-free-response--4d", "has_questions": false, "keywords": "AP, advanced, placement, calculus", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--4d", "duration": 346, "translated_title": "2011 Calculus AB free response #4d", "translated_description_html": "Mean Value Theorem and differentiability", "id": "238520373", "description_html": "Mean Value Theorem and differentiability", "title": "2011 Calculus AB free response #4d", "progress_key": "v238520373", "edit_slug": "edit/v/238520373", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mean Value Theorem and differentiability", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--4d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-10T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yX3JpmEgNHo.mp4/yX3JpmEgNHo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yX3JpmEgNHo.mp4/yX3JpmEgNHo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yX3JpmEgNHo.m3u8/yX3JpmEgNHo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yX3JpmEgNHo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v238520373", "sha": "e30e0c2ef0cc55b291cbef01cb9d6415fab066b1", "translated_description": "Mean Value Theorem and differentiability", "image_url": "https://img.youtube.com/vi/yX3JpmEgNHo/hqdefault.jpg", "youtube_id": "yX3JpmEgNHo", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--4d"}, {"translated_youtube_id": "n9UvuzI2fq0", "relative_url": "/video/2011-calculus-ab-free-response--5a", "has_questions": false, "keywords": "ap, advanced, placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--5a", "duration": 419, "translated_title": "2011 Calculus AB free response #5a", "translated_description_html": "Using a tangent line to extrapolate a function from a known initial condition", "id": "238520370", "description_html": "Using a tangent line to extrapolate a function from a known initial condition", "title": "2011 Calculus AB free response #5a", "progress_key": "v238520370", "edit_slug": "edit/v/238520370", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using a tangent line to extrapolate a function from a known initial condition", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--5a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-10T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n9UvuzI2fq0.mp4/n9UvuzI2fq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n9UvuzI2fq0.mp4/n9UvuzI2fq0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n9UvuzI2fq0.m3u8/n9UvuzI2fq0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n9UvuzI2fq0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v238520370", "sha": "6ef0f4c4bc910761715fa4e0c6709df3aaf86cd9", "translated_description": "Using a tangent line to extrapolate a function from a known initial condition", "image_url": "https://img.youtube.com/vi/n9UvuzI2fq0/hqdefault.jpg", "youtube_id": "n9UvuzI2fq0", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--5a"}, {"translated_youtube_id": "hAAIgNzBGg0", "relative_url": "/video/2011-calculus-ab-free-response--5b", "has_questions": false, "keywords": "AP, Advanced, Placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--5b", "duration": 498, "translated_title": "2011 Calculus AB free response #5b", "translated_description_html": "Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate", "id": "238520372", "description_html": "Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate", "title": "2011 Calculus AB free response #5b", "progress_key": "v238520372", "edit_slug": "edit/v/238520372", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--5b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-10T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hAAIgNzBGg0.mp4/hAAIgNzBGg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hAAIgNzBGg0.mp4/hAAIgNzBGg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hAAIgNzBGg0.m3u8/hAAIgNzBGg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hAAIgNzBGg0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v238520372", "sha": "54d06ff4d0ed4db0e5e97e74e6659431ba3bf479", "translated_description": "Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate", "image_url": "https://img.youtube.com/vi/hAAIgNzBGg0/hqdefault.jpg", "youtube_id": "hAAIgNzBGg0", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--5b"}, {"translated_youtube_id": "R-2Uw10QgIo", "relative_url": "/video/2011-calculus-ab-free-response--5c", "has_questions": false, "keywords": "AP, advanced, placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--5c", "duration": 555, "translated_title": "2011 Calculus AB free response #5c.", "translated_description_html": "Solving a differential equation using separation of variables", "id": "238520371", "description_html": "Solving a differential equation using separation of variables", "title": "2011 Calculus AB free response #5c.", "progress_key": "v238520371", "edit_slug": "edit/v/238520371", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving a differential equation using separation of variables", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--5c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-10T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-2Uw10QgIo.mp4/R-2Uw10QgIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-2Uw10QgIo.mp4/R-2Uw10QgIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R-2Uw10QgIo.m3u8/R-2Uw10QgIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R-2Uw10QgIo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v238520371", "sha": "f86061398f042e0695909eafdedda7244d53f47f", "translated_description": "Solving a differential equation using separation of variables", "image_url": "https://img.youtube.com/vi/R-2Uw10QgIo/hqdefault.jpg", "youtube_id": "R-2Uw10QgIo", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--5c"}, {"translated_youtube_id": "fr-8tjLoeDw", "relative_url": "/video/2011-calculus-ab-free-response--6a", "has_questions": false, "keywords": "ap, advanced, placement, calculus, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--6a", "duration": 263, "translated_title": "2011 Calculus AB free response #6a", "translated_description_html": "Continuity of piecewise-defined functions", "id": "244051677", "description_html": "Continuity of piecewise-defined functions", "title": "2011 Calculus AB free response #6a", "progress_key": "v244051677", "edit_slug": "edit/v/244051677", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Continuity of piecewise-defined functions", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--6a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fr-8tjLoeDw.mp4/fr-8tjLoeDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fr-8tjLoeDw.mp4/fr-8tjLoeDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fr-8tjLoeDw.m3u8/fr-8tjLoeDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fr-8tjLoeDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051677", "sha": "17b296cf938be6b2b8e67b716e8320d474ae45f8", "translated_description": "Continuity of piecewise-defined functions", "image_url": "https://img.youtube.com/vi/fr-8tjLoeDw/hqdefault.jpg", "youtube_id": "fr-8tjLoeDw", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--6a"}, {"translated_youtube_id": "RuEJzPQ_N10", "relative_url": "/video/2011-calculus-ab-free-response--6b", "has_questions": false, "keywords": "AP, advanced, placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--6b", "duration": 315, "translated_title": "2011 Calculus AB free response #6b", "translated_description_html": "Derivative of a piecewise-defined function", "id": "244051673", "description_html": "Derivative of a piecewise-defined function", "title": "2011 Calculus AB free response #6b", "progress_key": "v244051673", "edit_slug": "edit/v/244051673", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Derivative of a piecewise-defined function", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--6b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RuEJzPQ_N10.mp4/RuEJzPQ_N10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RuEJzPQ_N10.mp4/RuEJzPQ_N10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RuEJzPQ_N10.m3u8/RuEJzPQ_N10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RuEJzPQ_N10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051673", "sha": "9b7f17a2bfc72034fa431d34aa964a46bcfcdfaa", "translated_description": "Derivative of a piecewise-defined function", "image_url": "https://img.youtube.com/vi/RuEJzPQ_N10/hqdefault.jpg", "youtube_id": "RuEJzPQ_N10", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--6b"}, {"translated_youtube_id": "ucghWyc2_qs", "relative_url": "/video/2011-calculus-ab-free-response--6c", "has_questions": false, "keywords": "AP, advanced, placement, calculus", "ka_url": "http://www.khanacademy.org/video/2011-calculus-ab-free-response--6c", "duration": 449, "translated_title": "2011 Calculus AB free response #6c", "translated_description_html": "Average value of a piecewise-defined function on an interval", "id": "244051676", "description_html": "Average value of a piecewise-defined function on an interval", "title": "2011 Calculus AB free response #6c", "progress_key": "v244051676", "edit_slug": "edit/v/244051676", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Average value of a piecewise-defined function on an interval", "extra_properties": null, "node_slug": "v/2011-calculus-ab-free-response--6c", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ucghWyc2_qs.mp4/ucghWyc2_qs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ucghWyc2_qs.mp4/ucghWyc2_qs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ucghWyc2_qs.m3u8/ucghWyc2_qs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ucghWyc2_qs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051676", "sha": "9a69c64b0115ee4c2bef8d2afa091bdf732ba5a0", "translated_description": "Average value of a piecewise-defined function on an interval", "image_url": "https://img.youtube.com/vi/ucghWyc2_qs/hqdefault.jpg", "youtube_id": "ucghWyc2_qs", "content_kind": "Video", "readable_id": "2011-calculus-ab-free-response--6c"}], "twitter_url": "", "translated_description": "Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).", "x_pos": 0.0, "node_slug": "ab_examples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfdab3ab6", "topic_page_url": "/math/calculus/ap_calc_topic/ab_examples", "extended_slug": "math/calculus/ap_calc_topic/ab_examples", "slug": "ab_examples", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4ed5b8ebc583570af11f090961e774fa07a88421", "standalone_title": "Calculus AB example questions", "y_pos": 0.0, "current_revision_key": "4ed5b8ebc583570af11f090961e774fa07a88421", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/ap_calc_topic/bc_sample_questions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/ap_calc_topic/bc_sample_questions", "translated_standalone_title": "Calculus BC sample questions", "translated_title": "Calculus BC sample questions", "gplus_url": "", "id": "x78f9d2a9", "old_key_name": "3KgnG94ad95jLGqsxUkm1A8vXsmiKYp3nqfgvLzK", "hide": false, "title": "Calculus BC sample questions", "child_data": [{"kind": "Video", "id": 24254}, {"kind": "Video", "id": 24256}, {"kind": "Video", "id": 24258}, {"kind": "Video", "id": 24260}, {"kind": "Video", "id": 24262}, {"kind": "Video", "id": 24264}, {"kind": "Video", "id": 24266}, {"kind": "Video", "id": 244051675}, {"kind": "Video", "id": 244051674}, {"kind": "Video", "id": 246408189}, {"kind": "Video", "id": 246408188}, {"kind": "Video", "id": 246408186}, {"kind": "Video", "id": 246408187}, {"kind": "Video", "id": 248599678}, {"kind": "Video", "id": 248599679}, {"kind": "Video", "id": 250668426}], "children": [{"translated_youtube_id": "upO6Mh862PI", "relative_url": "/video/ap-calculus-bc-exams--2008-1-a", "has_questions": false, "keywords": "calculus, BC, exam", "ka_url": "http://www.khanacademy.org/video/ap-calculus-bc-exams--2008-1-a", "duration": 534, "translated_title": "AP Calculus BC exams: 2008 1 a", "translated_description_html": "Part 1a of the 2008 BC free response", "id": "24254", "description_html": "Part 1a of the 2008 BC free response", "title": "AP Calculus BC exams: 2008 1 a", "progress_key": "v24254", "edit_slug": "edit/v/24254", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1a of the 2008 BC free response", "extra_properties": null, "node_slug": "v/ap-calculus-bc-exams--2008-1-a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/upO6Mh862PI.mp4/upO6Mh862PI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/upO6Mh862PI.mp4/upO6Mh862PI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/upO6Mh862PI.m3u8/upO6Mh862PI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=upO6Mh862PI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24254", "sha": "e5beffe41545b039530ae86c713d531584182bdb", "translated_description": "Part 1a of the 2008 BC free response", "image_url": "https://img.youtube.com/vi/upO6Mh862PI/hqdefault.jpg", "youtube_id": "upO6Mh862PI", "content_kind": "Video", "readable_id": "ap-calculus-bc-exams--2008-1-a"}, {"translated_youtube_id": "xPb6HLM3xEQ", "relative_url": "/video/ap-calculus-bc-exams--2008-1-b-c", "has_questions": false, "keywords": "calculus, BC, exam", "ka_url": "http://www.khanacademy.org/video/ap-calculus-bc-exams--2008-1-b-c", "duration": 574, "translated_title": "AP Calculus BC exams: 2008 1 b&c", "translated_description_html": "Parts b and c of problem 1 (free response)", "id": "24256", "description_html": "Parts b and c of problem 1 (free response)", "title": "AP Calculus BC exams: 2008 1 b&c", "progress_key": "v24256", "edit_slug": "edit/v/24256", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts b and c of problem 1 (free response)", "extra_properties": null, "node_slug": "v/ap-calculus-bc-exams--2008-1-b-c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xPb6HLM3xEQ.mp4/xPb6HLM3xEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xPb6HLM3xEQ.mp4/xPb6HLM3xEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xPb6HLM3xEQ.m3u8/xPb6HLM3xEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xPb6HLM3xEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24256", "sha": "7244ab9ad318dcfc5417da0137ccac1af418ab27", "translated_description": "Parts b and c of problem 1 (free response)", "image_url": "https://img.youtube.com/vi/xPb6HLM3xEQ/hqdefault.jpg", "youtube_id": "xPb6HLM3xEQ", "content_kind": "Video", "readable_id": "ap-calculus-bc-exams--2008-1-b-c"}, {"translated_youtube_id": "_l0Mfsu__gU", "relative_url": "/video/ap-calculus-bc-exams--2008-1-c-d", "has_questions": false, "keywords": "calculus, BC, exam", "ka_url": "http://www.khanacademy.org/video/ap-calculus-bc-exams--2008-1-c-d", "duration": 560, "translated_title": "AP Calculus BC exams: 2008 1 c&d", "translated_description_html": "parts c and d of problem 1 in the 2008 AP Calculus BC free response", "id": "24258", "description_html": "parts c and d of problem 1 in the 2008 AP Calculus BC free response", "title": "AP Calculus BC exams: 2008 1 c&d", "progress_key": "v24258", "edit_slug": "edit/v/24258", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "parts c and d of problem 1 in the 2008 AP Calculus BC free response", "extra_properties": {"original_url": ""}, "node_slug": "v/ap-calculus-bc-exams--2008-1-c-d", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_l0Mfsu__gU.mp4/_l0Mfsu__gU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_l0Mfsu__gU.mp4/_l0Mfsu__gU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_l0Mfsu__gU.m3u8/_l0Mfsu__gU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_l0Mfsu__gU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24258", "sha": "16f1a89b9b95faa816ef6b08ddb60c56f7ef9035", "translated_description": "parts c and d of problem 1 in the 2008 AP Calculus BC free response", "image_url": "https://img.youtube.com/vi/_l0Mfsu__gU/hqdefault.jpg", "youtube_id": "_l0Mfsu__gU", "content_kind": "Video", "readable_id": "ap-calculus-bc-exams--2008-1-c-d"}, {"translated_youtube_id": "sPTuCE5zd3s", "relative_url": "/video/ap-calculus-bc-exams--2008-1-d", "has_questions": false, "keywords": "calculus, BC, exam", "ka_url": "http://www.khanacademy.org/video/ap-calculus-bc-exams--2008-1-d", "duration": 322, "translated_title": "AP Calculus BC exams: 2008 1 d", "translated_description_html": "Part 1d of the 2008 AP Calculus BC exam (free response)", "id": "24260", "description_html": "Part 1d of the 2008 AP Calculus BC exam (free response)", "title": "AP Calculus BC exams: 2008 1 d", "progress_key": "v24260", "edit_slug": "edit/v/24260", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1d of the 2008 AP Calculus BC exam (free response)", "extra_properties": null, "node_slug": "v/ap-calculus-bc-exams--2008-1-d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sPTuCE5zd3s.mp4/sPTuCE5zd3s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sPTuCE5zd3s.mp4/sPTuCE5zd3s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sPTuCE5zd3s.m3u8/sPTuCE5zd3s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sPTuCE5zd3s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24260", "sha": "522c8d3c5de82501404f717d7dbe6f0c4506b91b", "translated_description": "Part 1d of the 2008 AP Calculus BC exam (free response)", "image_url": "https://img.youtube.com/vi/sPTuCE5zd3s/hqdefault.jpg", "youtube_id": "sPTuCE5zd3s", "content_kind": "Video", "readable_id": "ap-calculus-bc-exams--2008-1-d"}, {"translated_youtube_id": "xvvI_QRYxBY", "relative_url": "/video/calculus-bc-2008-2-a", "has_questions": false, "keywords": "Calculus, BC, CC_8_F_4, CC_39336_A-REI_10", "ka_url": "http://www.khanacademy.org/video/calculus-bc-2008-2-a", "duration": 525, "translated_title": "Calculus BC 2008 2 a", "translated_description_html": "2a of 2008 Calculus BC exam (free response)", "id": "24262", "description_html": "2a of 2008 Calculus BC exam (free response)", "title": "Calculus BC 2008 2 a", "progress_key": "v24262", "edit_slug": "edit/v/24262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2a of 2008 Calculus BC exam (free response)", "extra_properties": null, "node_slug": "v/calculus-bc-2008-2-a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xvvI_QRYxBY.mp4/xvvI_QRYxBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xvvI_QRYxBY.mp4/xvvI_QRYxBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xvvI_QRYxBY.m3u8/xvvI_QRYxBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xvvI_QRYxBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24262", "sha": "5bb2d8b9077e619914603f7d67f7d54700cfdc4e", "translated_description": "2a of 2008 Calculus BC exam (free response)", "image_url": "https://img.youtube.com/vi/xvvI_QRYxBY/hqdefault.jpg", "youtube_id": "xvvI_QRYxBY", "content_kind": "Video", "readable_id": "calculus-bc-2008-2-a"}, {"translated_youtube_id": "S4oOSgTj9C8", "relative_url": "/video/calculus-bc-2008-2-b--c", "has_questions": false, "keywords": "Calculus", "ka_url": "http://www.khanacademy.org/video/calculus-bc-2008-2-b--c", "duration": 642, "translated_title": "Calculus BC 2008 2 b &c", "translated_description_html": "Parts 2b and 2c of the 2008 BC exam (free response)", "id": "24264", "description_html": "Parts 2b and 2c of the 2008 BC exam (free response)", "title": "Calculus BC 2008 2 b &c", "progress_key": "v24264", "edit_slug": "edit/v/24264", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts 2b and 2c of the 2008 BC exam (free response)", "extra_properties": null, "node_slug": "v/calculus-bc-2008-2-b--c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S4oOSgTj9C8.mp4/S4oOSgTj9C8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S4oOSgTj9C8.mp4/S4oOSgTj9C8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S4oOSgTj9C8.m3u8/S4oOSgTj9C8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S4oOSgTj9C8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24264", "sha": "22da41eac1fe20e3cb35499647c0ef3a64f5c379", "translated_description": "Parts 2b and 2c of the 2008 BC exam (free response)", "image_url": "https://img.youtube.com/vi/S4oOSgTj9C8/hqdefault.jpg", "youtube_id": "S4oOSgTj9C8", "content_kind": "Video", "readable_id": "calculus-bc-2008-2-b--c"}, {"translated_youtube_id": "o_vMb655dFk", "relative_url": "/video/calculus-bc-2008-2d", "has_questions": false, "keywords": "calculus", "ka_url": "http://www.khanacademy.org/video/calculus-bc-2008-2d", "duration": 268, "translated_title": "Calculus BC 2008 2d", "translated_description_html": "Part 2d of the 2008 Calculus BC exam free-response section", "id": "24266", "description_html": "Part 2d of the 2008 Calculus BC exam free-response section", "title": "Calculus BC 2008 2d", "progress_key": "v24266", "edit_slug": "edit/v/24266", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2d of the 2008 Calculus BC exam free-response section", "extra_properties": null, "node_slug": "v/calculus-bc-2008-2d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_vMb655dFk.mp4/o_vMb655dFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_vMb655dFk.mp4/o_vMb655dFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_vMb655dFk.m3u8/o_vMb655dFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_vMb655dFk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24266", "sha": "7801aabab3a8b5531437c3b6228408bde3b206a2", "translated_description": "Part 2d of the 2008 Calculus BC exam free-response section", "image_url": "https://img.youtube.com/vi/o_vMb655dFk/hqdefault.jpg", "youtube_id": "o_vMb655dFk", "content_kind": "Video", "readable_id": "calculus-bc-2008-2d"}, {"translated_youtube_id": "wtLTb_VaI-k", "relative_url": "/video/2011-calculus-bc-free-response--1a", "has_questions": false, "keywords": "AP, exam, advanced, placement", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--1a", "duration": 403, "translated_title": "2011 Calculus BC free response #1a", "translated_description_html": "Velocity and acceleration vectors for particle", "id": "244051675", "description_html": "Velocity and acceleration vectors for particle", "title": "2011 Calculus BC free response #1a", "progress_key": "v244051675", "edit_slug": "edit/v/244051675", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Velocity and acceleration vectors for particle", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--1a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wtLTb_VaI-k.mp4/wtLTb_VaI-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wtLTb_VaI-k.mp4/wtLTb_VaI-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wtLTb_VaI-k.m3u8/wtLTb_VaI-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wtLTb_VaI-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051675", "sha": "c9d5b5954360f528e2f57e80a26df8555f1e0ce8", "translated_description": "Velocity and acceleration vectors for particle", "image_url": "https://img.youtube.com/vi/wtLTb_VaI-k/hqdefault.jpg", "youtube_id": "wtLTb_VaI-k", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--1a"}, {"translated_youtube_id": "73eSiVcg4tQ", "relative_url": "/video/2011-calculus-bc-free-response--1--b---c", "has_questions": false, "keywords": "vector, AP", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--1--b---c", "duration": 459, "translated_title": "2011 Calculus BC free response #1 (b & c)", "translated_description_html": "Position and slope of particle's path at a given time", "id": "244051674", "description_html": "Position and slope of particle's path at a given time", "title": "2011 Calculus BC free response #1 (b & c)", "progress_key": "v244051674", "edit_slug": "edit/v/244051674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Position and slope of particle's path at a given time", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--1--b---c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:00:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/73eSiVcg4tQ.mp4/73eSiVcg4tQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/73eSiVcg4tQ.mp4/73eSiVcg4tQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/73eSiVcg4tQ.m3u8/73eSiVcg4tQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=73eSiVcg4tQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244051674", "sha": "a1877cfe31ddad5ef504f839e6df3da8ede0ca2c", "translated_description": "Position and slope of particle's path at a given time", "image_url": "https://img.youtube.com/vi/73eSiVcg4tQ/hqdefault.jpg", "youtube_id": "73eSiVcg4tQ", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--1--b---c"}, {"translated_youtube_id": "v-4QScXlN0o", "relative_url": "/video/2011-calculus-bc-free-response--1d", "has_questions": false, "keywords": "calc, AP, advanced, placement", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--1d", "duration": 514, "translated_title": "2011 Calculus BC free response #1d", "translated_description_html": "Arc length for a curve", "id": "246408189", "description_html": "Arc length for a curve", "title": "2011 Calculus BC free response #1d", "progress_key": "v246408189", "edit_slug": "edit/v/246408189", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Arc length for a curve", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--1d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-14T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-4QScXlN0o.mp4/v-4QScXlN0o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v-4QScXlN0o.mp4/v-4QScXlN0o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v-4QScXlN0o.m3u8/v-4QScXlN0o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v-4QScXlN0o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v246408189", "sha": "3a5fcb9b8a63270abd72877c1fb0c5097590ccb3", "translated_description": "Arc length for a curve", "image_url": "https://img.youtube.com/vi/v-4QScXlN0o/hqdefault.jpg", "youtube_id": "v-4QScXlN0o", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--1d"}, {"translated_youtube_id": "_G9JwTwjulA", "relative_url": "/video/2011-calculus-bc-free-response--3a", "has_questions": false, "keywords": "AP, advanced, placement, exam", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--3a", "duration": 341, "translated_title": "2011 Calculus BC free response #3a", "translated_description_html": "Arc length of a function", "id": "246408188", "description_html": "Arc length of a function", "title": "2011 Calculus BC free response #3a", "progress_key": "v246408188", "edit_slug": "edit/v/246408188", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Arc length of a function", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--3a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-14T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_G9JwTwjulA.mp4/_G9JwTwjulA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_G9JwTwjulA.mp4/_G9JwTwjulA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_G9JwTwjulA.m3u8/_G9JwTwjulA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_G9JwTwjulA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v246408188", "sha": "fc4efd392f8a5b7a18d6c952a9e9dd57855fa6ec", "translated_description": "Arc length of a function", "image_url": "https://img.youtube.com/vi/_G9JwTwjulA/hqdefault.jpg", "youtube_id": "_G9JwTwjulA", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--3a"}, {"translated_youtube_id": "lpXCvX6ZenM", "relative_url": "/video/2011-calculus-bc-free-response--3--b---c", "has_questions": false, "keywords": "advanced, placement, calculus", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--3--b---c", "duration": 506, "translated_title": "2011 Calculus BC free response #3 (b & c)", "translated_description_html": "Volume of a solid of rotation and Chain Rule for rates of change.", "id": "246408186", "description_html": "Volume of a solid of rotation and Chain Rule for rates of change.", "title": "2011 Calculus BC free response #3 (b & c)", "progress_key": "v246408186", "edit_slug": "edit/v/246408186", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Volume of a solid of rotation and Chain Rule for rates of change.", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--3--b---c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-14T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lpXCvX6ZenM.mp4/lpXCvX6ZenM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lpXCvX6ZenM.mp4/lpXCvX6ZenM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lpXCvX6ZenM.m3u8/lpXCvX6ZenM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lpXCvX6ZenM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v246408186", "sha": "12137b46e344ead7c300ff9c6ae35b2e482f7dc6", "translated_description": "Volume of a solid of rotation and Chain Rule for rates of change.", "image_url": "https://img.youtube.com/vi/lpXCvX6ZenM/hqdefault.jpg", "youtube_id": "lpXCvX6ZenM", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--3--b---c"}, {"translated_youtube_id": "1BGlbx67B6s", "relative_url": "/video/2011-calculus-bc-free-response--6a", "has_questions": false, "keywords": "calculus", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--6a", "duration": 462, "translated_title": "2011 Calculus BC free response #6a", "translated_description_html": "Taylor Series approximation of sin(x)", "id": "246408187", "description_html": "Taylor Series approximation of sin(x)", "title": "2011 Calculus BC free response #6a", "progress_key": "v246408187", "edit_slug": "edit/v/246408187", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taylor Series approximation of sin(x)", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--6a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-14T10:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1BGlbx67B6s.mp4/1BGlbx67B6s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1BGlbx67B6s.mp4/1BGlbx67B6s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1BGlbx67B6s.m3u8/1BGlbx67B6s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1BGlbx67B6s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v246408187", "sha": "f2979f71192d04ff114d633a4cfcf80c7a3d3402", "translated_description": "Taylor Series approximation of sin(x)", "image_url": "https://img.youtube.com/vi/1BGlbx67B6s/hqdefault.jpg", "youtube_id": "1BGlbx67B6s", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--6a"}, {"translated_youtube_id": "NQazgcu8c7s", "relative_url": "/video/2011-calculus-bc-free-response--6b", "has_questions": false, "keywords": "2011, Calculus, BC, Free, Response, #6b", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--6b", "duration": 599, "translated_title": "2011 Calculus BC free response #6b", "translated_description_html": "Taylor Series for cos x at x=0", "id": "248599678", "description_html": "Taylor Series for cos x at x=0", "title": "2011 Calculus BC free response #6b", "progress_key": "v248599678", "edit_slug": "edit/v/248599678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taylor Series for cos x at x=0", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--6b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-15T10:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NQazgcu8c7s.mp4/NQazgcu8c7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NQazgcu8c7s.mp4/NQazgcu8c7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NQazgcu8c7s.m3u8/NQazgcu8c7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NQazgcu8c7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v248599678", "sha": "3069005ae677ee765698ac453c0529ffa42df0c3", "translated_description": "Taylor Series for cos x at x=0", "image_url": "https://img.youtube.com/vi/NQazgcu8c7s/hqdefault.jpg", "youtube_id": "NQazgcu8c7s", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--6b"}, {"translated_youtube_id": "l1hJABkcuYI", "relative_url": "/video/2011-calculus-bc-free-response--6c", "has_questions": false, "keywords": "2011, Calculus, BC, Free, Response, #6c", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--6c", "duration": 178, "translated_title": "2011 Calculus BC free response #6c", "translated_description_html": "Calculating the 6th derivative at 0 from the Taylor Series approximation", "id": "248599679", "description_html": "Calculating the 6th derivative at 0 from the Taylor Series approximation", "title": "2011 Calculus BC free response #6c", "progress_key": "v248599679", "edit_slug": "edit/v/248599679", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the 6th derivative at 0 from the Taylor Series approximation", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--6c", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-15T10:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l1hJABkcuYI.mp4/l1hJABkcuYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l1hJABkcuYI.mp4/l1hJABkcuYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l1hJABkcuYI.m3u8/l1hJABkcuYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l1hJABkcuYI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v248599679", "sha": "1a759c809dedbfb1483d5e8231497d4ed2c3e0c4", "translated_description": "Calculating the 6th derivative at 0 from the Taylor Series approximation", "image_url": "https://img.youtube.com/vi/l1hJABkcuYI/hqdefault.jpg", "youtube_id": "l1hJABkcuYI", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--6c"}, {"translated_youtube_id": "m6oMgtGsAa4", "relative_url": "/video/2011-calculus-bc-free-response--6d", "has_questions": false, "keywords": "2011, Calculus, BC, Free, Response, #6d", "ka_url": "http://www.khanacademy.org/video/2011-calculus-bc-free-response--6d", "duration": 712, "translated_title": "2011 Calculus BC free response #6d", "translated_description_html": "Lagrange error bound for Taylor Polynomial approximation", "id": "250668426", "description_html": "Lagrange error bound for Taylor Polynomial approximation", "title": "2011 Calculus BC free response #6d", "progress_key": "v250668426", "edit_slug": "edit/v/250668426", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lagrange error bound for Taylor Polynomial approximation", "extra_properties": null, "node_slug": "v/2011-calculus-bc-free-response--6d", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-16T10:00:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m6oMgtGsAa4.mp4/m6oMgtGsAa4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m6oMgtGsAa4.mp4/m6oMgtGsAa4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m6oMgtGsAa4.m3u8/m6oMgtGsAa4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m6oMgtGsAa4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v250668426", "sha": "a54a25eb49c88cbc42701dcfac015c8331002052", "translated_description": "Lagrange error bound for Taylor Polynomial approximation", "image_url": "https://img.youtube.com/vi/m6oMgtGsAa4/hqdefault.jpg", "youtube_id": "m6oMgtGsAa4", "content_kind": "Video", "readable_id": "2011-calculus-bc-free-response--6d"}], "twitter_url": "", "translated_description": "The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!", "x_pos": 0.0, "node_slug": "bc_sample_questions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax78f9d2a9", "topic_page_url": "/math/calculus/ap_calc_topic/bc_sample_questions", "extended_slug": "math/calculus/ap_calc_topic/bc_sample_questions", "slug": "bc_sample_questions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "09ac92be5421bc1a1272c318a721a504c6ae2b3b", "standalone_title": "Calculus BC sample questions", "y_pos": 0.0, "current_revision_key": "09ac92be5421bc1a1272c318a721a504c6ae2b3b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer).", "x_pos": 0.0, "node_slug": "ap_calc_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4a22631b", "topic_page_url": "/math/calculus/ap_calc_topic", "extended_slug": "math/calculus/ap_calc_topic", "slug": "ap_calc_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5fdc3f83fb4fc064ab3b887896050221faaddd92", "standalone_title": "AP Calculus practice questions", "y_pos": 0.0, "current_revision_key": "5fdc3f83fb4fc064ab3b887896050221faaddd92", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/double_triple_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/double_triple_integrals", "translated_standalone_title": "Double and triple integrals", "translated_title": "Double and triple integrals", "gplus_url": "", "id": "x8bb6e75b", "old_key_name": "dWFm-ScHLcOv9fRYEnxWsWaMTQKaOZbuQ1tT2Lwc", "hide": false, "title": "Double and triple integrals", "child_data": [{"kind": "Topic", "id": "xcfbd4cc9"}, {"kind": "Topic", "id": "x258f8a2f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/double_triple_integrals/double_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/double_triple_integrals/double_integrals", "translated_standalone_title": "Double integrals", "translated_title": "Double integrals", "gplus_url": "", "id": "xcfbd4cc9", "old_key_name": "OrITbtMgAgFPDFBlnPyGIFQxKzM394bTH5H8vxgz", "hide": false, "title": "Double integrals", "child_data": [{"kind": "Video", "id": 24288}, {"kind": "Video", "id": 24290}, {"kind": "Video", "id": 24292}, {"kind": "Video", "id": 24294}, {"kind": "Video", "id": 24296}, {"kind": "Video", "id": 24298}], "children": [{"translated_youtube_id": "85zGYB-34jQ", "relative_url": "/video/double-integral-1", "has_questions": false, "keywords": "double, integral", "ka_url": "http://www.khanacademy.org/video/double-integral-1", "duration": 629, "translated_title": "Double integral 1", "translated_description_html": "Introduction to the double integral", "id": "24288", "description_html": "Introduction to the double integral", "title": "Double integral 1", "progress_key": "v24288", "edit_slug": "edit/v/24288", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the double integral", "extra_properties": null, "node_slug": "v/double-integral-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/85zGYB-34jQ.mp4/85zGYB-34jQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/85zGYB-34jQ.mp4/85zGYB-34jQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/85zGYB-34jQ.m3u8/85zGYB-34jQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=85zGYB-34jQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24288", "sha": "e8b53dd86200cb8813349e8b663a1a8dbbba8422", "translated_description": "Introduction to the double integral", "image_url": "https://img.youtube.com/vi/85zGYB-34jQ/hqdefault.jpg", "youtube_id": "85zGYB-34jQ", "content_kind": "Video", "readable_id": "double-integral-1"}, {"translated_youtube_id": "TdLD2Zh-nUQ", "relative_url": "/video/double-integrals-2", "has_questions": false, "keywords": "double, integral, calculus", "ka_url": "http://www.khanacademy.org/video/double-integrals-2", "duration": 590, "translated_title": "Double integrals 2", "translated_description_html": "Figuring out the volume under z=xy^2", "id": "24290", "description_html": "Figuring out the volume under z=xy^2", "title": "Double integrals 2", "progress_key": "v24290", "edit_slug": "edit/v/24290", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the volume under z=xy^2", "extra_properties": null, "node_slug": "v/double-integrals-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TdLD2Zh-nUQ.mp4/TdLD2Zh-nUQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TdLD2Zh-nUQ.mp4/TdLD2Zh-nUQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TdLD2Zh-nUQ.m3u8/TdLD2Zh-nUQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TdLD2Zh-nUQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24290", "sha": "c492e9bba1b7a1ec76e868b2c299b77507688fa1", "translated_description": "Figuring out the volume under z=xy^2", "image_url": "https://img.youtube.com/vi/TdLD2Zh-nUQ/hqdefault.jpg", "youtube_id": "TdLD2Zh-nUQ", "content_kind": "Video", "readable_id": "double-integrals-2"}, {"translated_youtube_id": "z8BM6cHifPA", "relative_url": "/video/double-integrals-3", "has_questions": false, "keywords": "double, integral, volume, under, surface", "ka_url": "http://www.khanacademy.org/video/double-integrals-3", "duration": 483, "translated_title": "Double integrals 3", "translated_description_html": "Let's integrate dy first!", "id": "24292", "description_html": "Let's integrate dy first!", "title": "Double integrals 3", "progress_key": "v24292", "edit_slug": "edit/v/24292", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's integrate dy first!", "extra_properties": null, "node_slug": "v/double-integrals-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z8BM6cHifPA.mp4/z8BM6cHifPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z8BM6cHifPA.mp4/z8BM6cHifPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z8BM6cHifPA.m3u8/z8BM6cHifPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z8BM6cHifPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24292", "sha": "c0e24a1d3770485f6b63c03c0322b7c89a1deadf", "translated_description": "Let's integrate dy first!", "image_url": "https://img.youtube.com/vi/z8BM6cHifPA/hqdefault.jpg", "youtube_id": "z8BM6cHifPA", "content_kind": "Video", "readable_id": "double-integrals-3"}, {"translated_youtube_id": "twT-WZChfZ8", "relative_url": "/video/double-integrals-4", "has_questions": false, "keywords": "double, integral", "ka_url": "http://www.khanacademy.org/video/double-integrals-4", "duration": 564, "translated_title": "Double integrals 4", "translated_description_html": "Another way to conceptualize the double integral.", "id": "24294", "description_html": "Another way to conceptualize the double integral.", "title": "Double integrals 4", "progress_key": "v24294", "edit_slug": "edit/v/24294", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another way to conceptualize the double integral.", "extra_properties": null, "node_slug": "v/double-integrals-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/twT-WZChfZ8.mp4/twT-WZChfZ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/twT-WZChfZ8.mp4/twT-WZChfZ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/twT-WZChfZ8.m3u8/twT-WZChfZ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=twT-WZChfZ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24294", "sha": "d8786887bda5a08e1ca3be56ad1cc757e13b5faa", "translated_description": "Another way to conceptualize the double integral.", "image_url": "https://img.youtube.com/vi/twT-WZChfZ8/hqdefault.jpg", "youtube_id": "twT-WZChfZ8", "content_kind": "Video", "readable_id": "double-integrals-4"}, {"translated_youtube_id": "hrIPO8mQqtw", "relative_url": "/video/double-integrals-5", "has_questions": false, "keywords": "double, integral, calculus", "ka_url": "http://www.khanacademy.org/video/double-integrals-5", "duration": 591, "translated_title": "Double integrals 5", "translated_description_html": "Finding the volume when we have variable boundaries.", "id": "24296", "description_html": "Finding the volume when we have variable boundaries.", "title": "Double integrals 5", "progress_key": "v24296", "edit_slug": "edit/v/24296", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the volume when we have variable boundaries.", "extra_properties": null, "node_slug": "v/double-integrals-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hrIPO8mQqtw.mp4/hrIPO8mQqtw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hrIPO8mQqtw.mp4/hrIPO8mQqtw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hrIPO8mQqtw.m3u8/hrIPO8mQqtw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hrIPO8mQqtw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24296", "sha": "65ef541eb2dc68c9b89acc43e67eccf7ffaa9d66", "translated_description": "Finding the volume when we have variable boundaries.", "image_url": "https://img.youtube.com/vi/hrIPO8mQqtw/hqdefault.jpg", "youtube_id": "hrIPO8mQqtw", "content_kind": "Video", "readable_id": "double-integrals-5"}, {"translated_youtube_id": "0pv0QtOi5l8", "relative_url": "/video/double-integrals-6", "has_questions": false, "keywords": "double, integral, volume, calculus", "ka_url": "http://www.khanacademy.org/video/double-integrals-6", "duration": 598, "translated_title": "Double integrals 6", "translated_description_html": "Let's evaluate the double integrals with y=x^2 as one of the boundaries.", "id": "24298", "description_html": "Let's evaluate the double integrals with y=x^2 as one of the boundaries.", "title": "Double integrals 6", "progress_key": "v24298", "edit_slug": "edit/v/24298", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's evaluate the double integrals with y=x^2 as one of the boundaries.", "extra_properties": null, "node_slug": "v/double-integrals-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0pv0QtOi5l8.mp4/0pv0QtOi5l8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0pv0QtOi5l8.mp4/0pv0QtOi5l8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0pv0QtOi5l8.m3u8/0pv0QtOi5l8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0pv0QtOi5l8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24298", "sha": "f109246d358cb04451be7279b3ab933756da7498", "translated_description": "Let's evaluate the double integrals with y=x^2 as one of the boundaries.", "image_url": "https://img.youtube.com/vi/0pv0QtOi5l8/hqdefault.jpg", "youtube_id": "0pv0QtOi5l8", "content_kind": "Video", "readable_id": "double-integrals-6"}], "twitter_url": "", "translated_description": "A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!", "x_pos": 0.0, "node_slug": "double_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcfbd4cc9", "topic_page_url": "/math/calculus/double_triple_integrals/double_integrals", "extended_slug": "math/calculus/double_triple_integrals/double_integrals", "slug": "double_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "83685d2fb2f834a2679eda2cb009886abfbedf46", "standalone_title": "Double integrals", "y_pos": 0.0, "current_revision_key": "83685d2fb2f834a2679eda2cb009886abfbedf46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/double_triple_integrals/triple_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/double_triple_integrals/triple_integrals", "translated_standalone_title": "Triple integrals", "translated_title": "Triple integrals", "gplus_url": "", "id": "x258f8a2f", "old_key_name": "wIHTacyKlhpxIxf-zewMQoTGZqsPxPLlFJ0XCx1I", "hide": false, "title": "Triple integrals", "child_data": [{"kind": "Video", "id": 24300}, {"kind": "Video", "id": 24302}, {"kind": "Video", "id": 24304}], "children": [{"translated_youtube_id": "vr0sTKbV7lI", "relative_url": "/video/triple-integrals-1", "has_questions": false, "keywords": "calculus, triple, integral", "ka_url": "http://www.khanacademy.org/video/triple-integrals-1", "duration": 638, "translated_title": "Triple integrals 1", "translated_description_html": "Introduction to the triple integral", "id": "24300", "description_html": "Introduction to the triple integral", "title": "Triple integrals 1", "progress_key": "v24300", "edit_slug": "edit/v/24300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the triple integral", "extra_properties": null, "node_slug": "v/triple-integrals-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vr0sTKbV7lI.mp4/vr0sTKbV7lI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vr0sTKbV7lI.mp4/vr0sTKbV7lI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vr0sTKbV7lI.m3u8/vr0sTKbV7lI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vr0sTKbV7lI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24300", "sha": "87d82b791ad89888454e393c0d6541b5b14d7435", "translated_description": "Introduction to the triple integral", "image_url": "https://img.youtube.com/vi/vr0sTKbV7lI/hqdefault.jpg", "youtube_id": "vr0sTKbV7lI", "content_kind": "Video", "readable_id": "triple-integrals-1"}, {"translated_youtube_id": "vxQvL_WhBGU", "relative_url": "/video/triple-integrals-2", "has_questions": false, "keywords": "calculus, triple, integral, density", "ka_url": "http://www.khanacademy.org/video/triple-integrals-2", "duration": 446, "translated_title": "Triple integrals 2", "translated_description_html": "Using a triple integral to find the mass of a volume of variable density.", "id": "24302", "description_html": "Using a triple integral to find the mass of a volume of variable density.", "title": "Triple integrals 2", "progress_key": "v24302", "edit_slug": "edit/v/24302", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a triple integral to find the mass of a volume of variable density.", "extra_properties": null, "node_slug": "v/triple-integrals-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vxQvL_WhBGU.mp4/vxQvL_WhBGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vxQvL_WhBGU.mp4/vxQvL_WhBGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vxQvL_WhBGU.m3u8/vxQvL_WhBGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vxQvL_WhBGU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24302", "sha": "456214f5aaaa8ee8f833e07bc64a91629151df68", "translated_description": "Using a triple integral to find the mass of a volume of variable density.", "image_url": "https://img.youtube.com/vi/vxQvL_WhBGU/hqdefault.jpg", "youtube_id": "vxQvL_WhBGU", "content_kind": "Video", "readable_id": "triple-integrals-2"}, {"translated_youtube_id": "ZN2PfqZ4ihM", "relative_url": "/video/triple-integrals-3", "has_questions": false, "keywords": "calculus, triple, integral", "ka_url": "http://www.khanacademy.org/video/triple-integrals-3", "duration": 708, "translated_title": "Triple integrals 3", "translated_description_html": "Figuring out the boundaries of integration.", "id": "24304", "description_html": "Figuring out the boundaries of integration.", "title": "Triple integrals 3", "progress_key": "v24304", "edit_slug": "edit/v/24304", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the boundaries of integration.", "extra_properties": null, "node_slug": "v/triple-integrals-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZN2PfqZ4ihM.mp4/ZN2PfqZ4ihM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZN2PfqZ4ihM.mp4/ZN2PfqZ4ihM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZN2PfqZ4ihM.m3u8/ZN2PfqZ4ihM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZN2PfqZ4ihM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24304", "sha": "d02782de5abfe55173ffb83d37c628f6c3127d5d", "translated_description": "Figuring out the boundaries of integration.", "image_url": "https://img.youtube.com/vi/ZN2PfqZ4ihM/hqdefault.jpg", "youtube_id": "ZN2PfqZ4ihM", "content_kind": "Video", "readable_id": "triple-integrals-3"}], "twitter_url": "", "translated_description": "This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!", "x_pos": 0.0, "node_slug": "triple_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax258f8a2f", "topic_page_url": "/math/calculus/double_triple_integrals/triple_integrals", "extended_slug": "math/calculus/double_triple_integrals/triple_integrals", "slug": "triple_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e95878794e9b002163fe0ec6acfb8436738e99d7", "standalone_title": "Triple integrals", "y_pos": 0.0, "current_revision_key": "e95878794e9b002163fe0ec6acfb8436738e99d7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Volume under a surface with double integrals. Triple integrals as well.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Volume under a surface with double integrals. Triple integrals as well.", "x_pos": 0.0, "node_slug": "double_triple_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8bb6e75b", "topic_page_url": "/math/calculus/double_triple_integrals", "extended_slug": "math/calculus/double_triple_integrals", "slug": "double_triple_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "99ec96e552f809c215235c2f55513d6490d54956", "standalone_title": "Double and triple integrals", "y_pos": 0.0, "current_revision_key": "99ec96e552f809c215235c2f55513d6490d54956", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/partial_derivatives_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/partial_derivatives_topic", "translated_standalone_title": "Derivatives in multi-dimensions and for vectors", "translated_title": "Partial derivatives, gradient, divergence, curl", "gplus_url": "", "id": "xa1e91d2e", "old_key_name": "PvFcahFzi9DbT9TBExCWrYbiOvKuUeBlZp8dpAO1", "hide": false, "title": "Partial derivatives, gradient, divergence, curl", "child_data": [{"kind": "Topic", "id": "x0774dfc3"}, {"kind": "Topic", "id": "x7502dbb0"}, {"kind": "Topic", "id": "x9ce4a406"}, {"kind": "Topic", "id": "x5300d17a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/partial_derivatives_topic/partial_derivatives", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/partial_derivatives_topic/partial_derivatives", "translated_standalone_title": "Partial derivatives", "translated_title": "Partial derivatives", "gplus_url": "", "id": "x0774dfc3", "old_key_name": "8AuOBtgL46p1qJpj_gL-ja50Ta1HIGvZ17kJ2uJN", "hide": false, "title": "Partial derivatives", "child_data": [{"kind": "Video", "id": 24268}, {"kind": "Video", "id": 24270}], "children": [{"translated_youtube_id": "1CMDS4-PKKQ", "relative_url": "/video/partial-derivatives", "has_questions": false, "keywords": "partial, derivative", "ka_url": "http://www.khanacademy.org/video/partial-derivatives", "duration": 671, "translated_title": "Partial derivatives", "translated_description_html": "Introduction to partial derivatives.", "id": "24268", "description_html": "Introduction to partial derivatives.", "title": "Partial derivatives", "progress_key": "v24268", "edit_slug": "edit/v/24268", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to partial derivatives.", "extra_properties": null, "node_slug": "v/partial-derivatives", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:33:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1CMDS4-PKKQ.mp4/1CMDS4-PKKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1CMDS4-PKKQ.mp4/1CMDS4-PKKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1CMDS4-PKKQ.m3u8/1CMDS4-PKKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1CMDS4-PKKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24268", "sha": "97fad51069809126f8411a0a4c10854b387c4adc", "translated_description": "Introduction to partial derivatives.", "image_url": "https://img.youtube.com/vi/1CMDS4-PKKQ/hqdefault.jpg", "youtube_id": "1CMDS4-PKKQ", "content_kind": "Video", "readable_id": "partial-derivatives"}, {"translated_youtube_id": "-u0mqFqpMNY", "relative_url": "/video/partial-derivatives-2", "has_questions": false, "keywords": "partial, derivatives", "ka_url": "http://www.khanacademy.org/video/partial-derivatives-2", "duration": 626, "translated_title": "Partial derivatives 2", "translated_description_html": "More on partial derivatives", "id": "24270", "description_html": "More on partial derivatives", "title": "Partial derivatives 2", "progress_key": "v24270", "edit_slug": "edit/v/24270", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on partial derivatives", "extra_properties": null, "node_slug": "v/partial-derivatives-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-u0mqFqpMNY.mp4/-u0mqFqpMNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-u0mqFqpMNY.mp4/-u0mqFqpMNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-u0mqFqpMNY.m3u8/-u0mqFqpMNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-u0mqFqpMNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24270", "sha": "bd4f9b4b15c5385a681b5c27bf062506333db201", "translated_description": "More on partial derivatives", "image_url": "https://img.youtube.com/vi/-u0mqFqpMNY/hqdefault.jpg", "youtube_id": "-u0mqFqpMNY", "content_kind": "Video", "readable_id": "partial-derivatives-2"}], "twitter_url": "", "translated_description": "Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world of partial derivatives!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world of partial derivatives!", "x_pos": 0.0, "node_slug": "partial_derivatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0774dfc3", "topic_page_url": "/math/calculus/partial_derivatives_topic/partial_derivatives", "extended_slug": "math/calculus/partial_derivatives_topic/partial_derivatives", "slug": "partial_derivatives", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "02f089d9c8c0de43d59834eac1a03c0fb0370541", "standalone_title": "Partial derivatives", "y_pos": 0.0, "current_revision_key": "02f089d9c8c0de43d59834eac1a03c0fb0370541", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/partial_derivatives_topic/gradient", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/partial_derivatives_topic/gradient", "translated_standalone_title": "Gradient", "translated_title": "Gradient", "gplus_url": "", "id": "x7502dbb0", "old_key_name": "IJ3r0HQPweAYJLXhQtAMhW_00TT4XPoNSc5EBPix", "hide": false, "title": "Gradient", "child_data": [{"kind": "Video", "id": 24272}, {"kind": "Video", "id": 24274}], "children": [{"translated_youtube_id": "U7HQ_G_N6vo", "relative_url": "/video/gradient-1", "has_questions": false, "keywords": "vector, gradient", "ka_url": "http://www.khanacademy.org/video/gradient-1", "duration": 585, "translated_title": "Gradient 1", "translated_description_html": "Introduction to the gradient", "id": "24272", "description_html": "Introduction to the gradient", "title": "Gradient 1", "progress_key": "v24272", "edit_slug": "edit/v/24272", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the gradient", "extra_properties": null, "node_slug": "v/gradient-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U7HQ_G_N6vo.mp4/U7HQ_G_N6vo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U7HQ_G_N6vo.mp4/U7HQ_G_N6vo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U7HQ_G_N6vo.m3u8/U7HQ_G_N6vo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U7HQ_G_N6vo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24272", "sha": "edb09e05aae422465cf01fc0811dd91610eeb3af", "translated_description": "Introduction to the gradient", "image_url": "https://img.youtube.com/vi/U7HQ_G_N6vo/hqdefault.jpg", "youtube_id": "U7HQ_G_N6vo", "content_kind": "Video", "readable_id": "gradient-1"}, {"translated_youtube_id": "OB8b8aDGLgE", "relative_url": "/video/gradient-of-a-scalar-field", "has_questions": false, "keywords": "gradient, scalar, field", "ka_url": "http://www.khanacademy.org/video/gradient-of-a-scalar-field", "duration": 654, "translated_title": "Gradient of a scalar field", "translated_description_html": "Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.", "id": "24274", "description_html": "Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.", "title": "Gradient of a scalar field", "progress_key": "v24274", "edit_slug": "edit/v/24274", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.", "extra_properties": null, "node_slug": "v/gradient-of-a-scalar-field", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OB8b8aDGLgE.mp4/OB8b8aDGLgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OB8b8aDGLgE.mp4/OB8b8aDGLgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OB8b8aDGLgE.m3u8/OB8b8aDGLgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OB8b8aDGLgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24274", "sha": "16554afde701205bc8b421a1c5ec7b75a24931af", "translated_description": "Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.", "image_url": "https://img.youtube.com/vi/OB8b8aDGLgE/hqdefault.jpg", "youtube_id": "OB8b8aDGLgE", "content_kind": "Video", "readable_id": "gradient-of-a-scalar-field"}], "twitter_url": "", "translated_description": "Ever walk on hill (or any wacky surface) and wonder which way would be the fastest way up (or down). Now you can figure this out exactly with the gradient.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Ever walk on hill (or any wacky surface) and wonder which way would be the fastest way up (or down). Now you can figure this out exactly with the gradient.", "x_pos": 0.0, "node_slug": "gradient", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7502dbb0", "topic_page_url": "/math/calculus/partial_derivatives_topic/gradient", "extended_slug": "math/calculus/partial_derivatives_topic/gradient", "slug": "gradient", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "39c19e9301c093b74bbaf2d40b54e52ce4722f00", "standalone_title": "Gradient", "y_pos": 0.0, "current_revision_key": "39c19e9301c093b74bbaf2d40b54e52ce4722f00", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/partial_derivatives_topic/divergence", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/partial_derivatives_topic/divergence", "translated_standalone_title": "Divergence", "translated_title": "Divergence", "gplus_url": "", "id": "x9ce4a406", "old_key_name": "VMFaNm4jnmIVlpmKpZsTyhbVtpdVnUVlfwq3_1NR", "hide": false, "title": "Divergence", "child_data": [{"kind": "Video", "id": 24276}, {"kind": "Video", "id": 24278}, {"kind": "Video", "id": 24280}], "children": [{"translated_youtube_id": "JAXyLhvZ-Vg", "relative_url": "/video/divergence-1", "has_questions": false, "keywords": "vector, field, divergence", "ka_url": "http://www.khanacademy.org/video/divergence-1", "duration": 620, "translated_title": "Divergence 1", "translated_description_html": "Introduction to the divergence of a vector field.", "id": "24276", "description_html": "Introduction to the divergence of a vector field.", "title": "Divergence 1", "progress_key": "v24276", "edit_slug": "edit/v/24276", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the divergence of a vector field.", "extra_properties": null, "node_slug": "v/divergence-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JAXyLhvZ-Vg.mp4/JAXyLhvZ-Vg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JAXyLhvZ-Vg.mp4/JAXyLhvZ-Vg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JAXyLhvZ-Vg.m3u8/JAXyLhvZ-Vg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JAXyLhvZ-Vg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24276", "sha": "e6a062f501bfd3fba84c72dca5b89341a08fce1e", "translated_description": "Introduction to the divergence of a vector field.", "image_url": "https://img.youtube.com/vi/JAXyLhvZ-Vg/hqdefault.jpg", "youtube_id": "JAXyLhvZ-Vg", "content_kind": "Video", "readable_id": "divergence-1"}, {"translated_youtube_id": "tOX3RkH2guE", "relative_url": "/video/divergence-2", "has_questions": false, "keywords": "divergence, vector", "ka_url": "http://www.khanacademy.org/video/divergence-2", "duration": 652, "translated_title": "Divergence 2", "translated_description_html": "The intuition of what the divergence of a vector field is.", "id": "24278", "description_html": "The intuition of what the divergence of a vector field is.", "title": "Divergence 2", "progress_key": "v24278", "edit_slug": "edit/v/24278", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The intuition of what the divergence of a vector field is.", "extra_properties": null, "node_slug": "v/divergence-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tOX3RkH2guE.mp4/tOX3RkH2guE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tOX3RkH2guE.mp4/tOX3RkH2guE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tOX3RkH2guE.m3u8/tOX3RkH2guE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tOX3RkH2guE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24278", "sha": "d0cf8ad185b000d7564314b4849cdc9e55c7988a", "translated_description": "The intuition of what the divergence of a vector field is.", "image_url": "https://img.youtube.com/vi/tOX3RkH2guE/hqdefault.jpg", "youtube_id": "tOX3RkH2guE", "content_kind": "Video", "readable_id": "divergence-2"}, {"translated_youtube_id": "U6Re4xT0o4w", "relative_url": "/video/divergence-3", "has_questions": false, "keywords": "vector, divergence", "ka_url": "http://www.khanacademy.org/video/divergence-3", "duration": 648, "translated_title": "Divergence 3", "translated_description_html": "Analyzing a vector field using its divergence.", "id": "24280", "description_html": "Analyzing a vector field using its divergence.", "title": "Divergence 3", "progress_key": "v24280", "edit_slug": "edit/v/24280", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analyzing a vector field using its divergence.", "extra_properties": null, "node_slug": "v/divergence-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U6Re4xT0o4w.mp4/U6Re4xT0o4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U6Re4xT0o4w.mp4/U6Re4xT0o4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U6Re4xT0o4w.m3u8/U6Re4xT0o4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U6Re4xT0o4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24280", "sha": "843c0ae9093a31a428164ba4d0f34aacab44965a", "translated_description": "Analyzing a vector field using its divergence.", "image_url": "https://img.youtube.com/vi/U6Re4xT0o4w/hqdefault.jpg", "youtube_id": "U6Re4xT0o4w", "content_kind": "Video", "readable_id": "divergence-3"}], "twitter_url": "", "translated_description": "Is a vector field \"coming together\" or \"drawing apart\" at a given point in space. The divergence is a vector operator that gives us a scalar value at any point in a vector field. If it is positive, then we are diverging. Otherwise, we are converging!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Is a vector field \"coming together\" or \"drawing apart\" at a given point in space. The divergence is a vector operator that gives us a scalar value at any point in a vector field. If it is positive, then we are diverging. Otherwise, we are converging!", "x_pos": 0.0, "node_slug": "divergence", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9ce4a406", "topic_page_url": "/math/calculus/partial_derivatives_topic/divergence", "extended_slug": "math/calculus/partial_derivatives_topic/divergence", "slug": "divergence", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bccba91c7875109c9ffc1096b107ac4799468d7a", "standalone_title": "Divergence", "y_pos": 0.0, "current_revision_key": "bccba91c7875109c9ffc1096b107ac4799468d7a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/partial_derivatives_topic/curl", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/partial_derivatives_topic/curl", "translated_standalone_title": "Curl", "translated_title": "Curl", "gplus_url": "", "id": "x5300d17a", "old_key_name": "bhQBTCaBYdvUXrlUsVnBFYMK5Xg25CpS8kL9Zjsg", "hide": false, "title": "Curl", "child_data": [{"kind": "Video", "id": 24282}, {"kind": "Video", "id": 24284}, {"kind": "Video", "id": 24286}], "children": [{"translated_youtube_id": "Mt4dpGFVsYc", "relative_url": "/video/curl-1", "has_questions": false, "keywords": "curl, vector, field", "ka_url": "http://www.khanacademy.org/video/curl-1", "duration": 572, "translated_title": "Curl 1", "translated_description_html": "Introduction to the curl of a vector field", "id": "24282", "description_html": "Introduction to the curl of a vector field", "title": "Curl 1", "progress_key": "v24282", "edit_slug": "edit/v/24282", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the curl of a vector field", "extra_properties": null, "node_slug": "v/curl-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mt4dpGFVsYc.mp4/Mt4dpGFVsYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mt4dpGFVsYc.mp4/Mt4dpGFVsYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mt4dpGFVsYc.m3u8/Mt4dpGFVsYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mt4dpGFVsYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24282", "sha": "a3091182bf5941cf87234082f58f737c2876e887", "translated_description": "Introduction to the curl of a vector field", "image_url": "https://img.youtube.com/vi/Mt4dpGFVsYc/hqdefault.jpg", "youtube_id": "Mt4dpGFVsYc", "content_kind": "Video", "readable_id": "curl-1"}, {"translated_youtube_id": "hTSyVgBa1T0", "relative_url": "/video/curl-2", "has_questions": false, "keywords": "vector, field, curl", "ka_url": "http://www.khanacademy.org/video/curl-2", "duration": 617, "translated_title": "Curl 2", "translated_description_html": "The mechanics of calculating curl.", "id": "24284", "description_html": "The mechanics of calculating curl.", "title": "Curl 2", "progress_key": "v24284", "edit_slug": "edit/v/24284", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The mechanics of calculating curl.", "extra_properties": null, "node_slug": "v/curl-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hTSyVgBa1T0.mp4/hTSyVgBa1T0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hTSyVgBa1T0.mp4/hTSyVgBa1T0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hTSyVgBa1T0.m3u8/hTSyVgBa1T0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hTSyVgBa1T0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24284", "sha": "6d4667174eaedf404988a41caf0799d6e2d69257", "translated_description": "The mechanics of calculating curl.", "image_url": "https://img.youtube.com/vi/hTSyVgBa1T0/hqdefault.jpg", "youtube_id": "hTSyVgBa1T0", "content_kind": "Video", "readable_id": "curl-2"}, {"translated_youtube_id": "fYzoiWIBjP8", "relative_url": "/video/curl-3", "has_questions": false, "keywords": "vector, field, curl", "ka_url": "http://www.khanacademy.org/video/curl-3", "duration": 622, "translated_title": "Curl 3", "translated_description_html": "More on curl", "id": "24286", "description_html": "More on curl", "title": "Curl 3", "progress_key": "v24286", "edit_slug": "edit/v/24286", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on curl", "extra_properties": null, "node_slug": "v/curl-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:33:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fYzoiWIBjP8.mp4/fYzoiWIBjP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fYzoiWIBjP8.mp4/fYzoiWIBjP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fYzoiWIBjP8.m3u8/fYzoiWIBjP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fYzoiWIBjP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24286", "sha": "71deba38c98d02ee04d6dac2284cbfa2af36b889", "translated_description": "More on curl", "image_url": "https://img.youtube.com/vi/fYzoiWIBjP8/hqdefault.jpg", "youtube_id": "fYzoiWIBjP8", "content_kind": "Video", "readable_id": "curl-3"}], "twitter_url": "", "translated_description": "Curl measures how much a vector field is \"spinning\". A bit of a pain to calculate, but could come in handy when we work with Stokes' and Greens' theorems later on.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Curl measures how much a vector field is \"spinning\". A bit of a pain to calculate, but could come in handy when we work with Stokes' and Greens' theorems later on.", "x_pos": 0.0, "node_slug": "curl", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5300d17a", "topic_page_url": "/math/calculus/partial_derivatives_topic/curl", "extended_slug": "math/calculus/partial_derivatives_topic/curl", "slug": "curl", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "66ddba5a2bea3840074b833dcdbb16aa0a3a3519", "standalone_title": "Curl", "y_pos": 0.0, "current_revision_key": "66ddba5a2bea3840074b833dcdbb16aa0a3a3519", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl.", "x_pos": 0.0, "node_slug": "partial_derivatives_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa1e91d2e", "topic_page_url": "/math/calculus/partial_derivatives_topic", "extended_slug": "math/calculus/partial_derivatives_topic", "slug": "partial_derivatives_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "82659dca3fbbdc245467ffdbffd19b4ba05f05f7", "standalone_title": "Derivatives in multi-dimensions and for vectors", "y_pos": 0.0, "current_revision_key": "82659dca3fbbdc245467ffdbffd19b4ba05f05f7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic", "translated_standalone_title": "Line integrals and Green's theorem", "translated_title": "Line integrals and Green's theorem", "gplus_url": "", "id": "x833b5150", "old_key_name": "PrmPpGoZcFsvjuIHsz91ztDKRxzeF6-re-044D0q", "hide": false, "title": "Line integrals and Green's theorem", "child_data": [{"kind": "Topic", "id": "x6a1ef063"}, {"kind": "Topic", "id": "x5dd2c2d3"}, {"kind": "Topic", "id": "x11a3b666"}, {"kind": "Topic", "id": "x17b3536e"}, {"kind": "Topic", "id": "xcc25eb22"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic/line_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic/line_integrals", "translated_standalone_title": "Line integrals for scalar functions", "translated_title": "Line integrals for scalar functions", "gplus_url": "", "id": "x6a1ef063", "old_key_name": "GF3h_GdTYR4NssFPMEgYm7Iphbg7-raE5lWbxThV", "hide": false, "title": "Line integrals for scalar functions", "child_data": [{"kind": "Video", "id": 24308}, {"kind": "Video", "id": 24310}, {"kind": "Video", "id": 24312}, {"kind": "Video", "id": 24314}], "children": [{"translated_youtube_id": "_60sKaoRmhU", "relative_url": "/video/introduction-to-the-line-integral", "has_questions": false, "keywords": "line, integral, calculus", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-line-integral", "duration": 1128, "translated_title": "Introduction to the line integral", "translated_description_html": "Introduction to the Line Integral", "id": "24308", "description_html": "Introduction to the Line Integral", "title": "Introduction to the line integral", "progress_key": "v24308", "edit_slug": "edit/v/24308", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Line Integral", "extra_properties": null, "node_slug": "v/introduction-to-the-line-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_60sKaoRmhU.mp4/_60sKaoRmhU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_60sKaoRmhU.mp4/_60sKaoRmhU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_60sKaoRmhU.m3u8/_60sKaoRmhU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_60sKaoRmhU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24308", "sha": "19a6f4289e52d165d33ab41d0ec225c0fd0ba58e", "translated_description": "Introduction to the Line Integral", "image_url": "https://img.youtube.com/vi/_60sKaoRmhU/hqdefault.jpg", "youtube_id": "_60sKaoRmhU", "content_kind": "Video", "readable_id": "introduction-to-the-line-integral"}, {"translated_youtube_id": "uXjQ8yc9Pdg", "relative_url": "/video/line-integral-example-1", "has_questions": false, "keywords": "line, integral, example", "ka_url": "http://www.khanacademy.org/video/line-integral-example-1", "duration": 782, "translated_title": "Line integral example 1", "translated_description_html": "Concrete example using a line integral", "id": "24310", "description_html": "Concrete example using a line integral", "title": "Line integral example 1", "progress_key": "v24310", "edit_slug": "edit/v/24310", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Concrete example using a line integral", "extra_properties": null, "node_slug": "v/line-integral-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXjQ8yc9Pdg.mp4/uXjQ8yc9Pdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uXjQ8yc9Pdg.mp4/uXjQ8yc9Pdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uXjQ8yc9Pdg.m3u8/uXjQ8yc9Pdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uXjQ8yc9Pdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24310", "sha": "07011873df910ed03a4096850de0d9d398eb0c24", "translated_description": "Concrete example using a line integral", "image_url": "https://img.youtube.com/vi/uXjQ8yc9Pdg/hqdefault.jpg", "youtube_id": "uXjQ8yc9Pdg", "content_kind": "Video", "readable_id": "line-integral-example-1"}, {"translated_youtube_id": "wyTjyQMVvc4", "relative_url": "/video/line-integral-example-2--part-1", "has_questions": false, "keywords": "line, integral, closed, path, calculus", "ka_url": "http://www.khanacademy.org/video/line-integral-example-2--part-1", "duration": 773, "translated_title": "Line integral example 2 (part 1)", "translated_description_html": "Line integral over a closed path (part 1)", "id": "24312", "description_html": "Line integral over a closed path (part 1)", "title": "Line integral example 2 (part 1)", "progress_key": "v24312", "edit_slug": "edit/v/24312", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Line integral over a closed path (part 1)", "extra_properties": null, "node_slug": "v/line-integral-example-2--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wyTjyQMVvc4.mp4/wyTjyQMVvc4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wyTjyQMVvc4.mp4/wyTjyQMVvc4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wyTjyQMVvc4.m3u8/wyTjyQMVvc4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wyTjyQMVvc4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24312", "sha": "de2f97944162c96d6c084e1611bf7de18db47fa2", "translated_description": "Line integral over a closed path (part 1)", "image_url": "https://img.youtube.com/vi/wyTjyQMVvc4/hqdefault.jpg", "youtube_id": "wyTjyQMVvc4", "content_kind": "Video", "readable_id": "line-integral-example-2--part-1"}, {"translated_youtube_id": "Qqanbd3gLhw", "relative_url": "/video/line-integral-example-2--part-2", "has_questions": false, "keywords": "line, integral, closed, path, calculus", "ka_url": "http://www.khanacademy.org/video/line-integral-example-2--part-2", "duration": 598, "translated_title": "Line integral example 2 (part 2)", "translated_description_html": "Part 2 of an example of taking a line integral over a closed path", "id": "24314", "description_html": "Part 2 of an example of taking a line integral over a closed path", "title": "Line integral example 2 (part 2)", "progress_key": "v24314", "edit_slug": "edit/v/24314", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of an example of taking a line integral over a closed path", "extra_properties": null, "node_slug": "v/line-integral-example-2--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qqanbd3gLhw.mp4/Qqanbd3gLhw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qqanbd3gLhw.mp4/Qqanbd3gLhw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qqanbd3gLhw.m3u8/Qqanbd3gLhw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qqanbd3gLhw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24314", "sha": "c89f824c3b390deae0537587e22771b8eaf3ada4", "translated_description": "Part 2 of an example of taking a line integral over a closed path", "image_url": "https://img.youtube.com/vi/Qqanbd3gLhw/hqdefault.jpg", "youtube_id": "Qqanbd3gLhw", "content_kind": "Video", "readable_id": "line-integral-example-2--part-2"}], "twitter_url": "", "translated_description": "With traditional integrals, our \"path\" was straight and linear (most of the time, we traversed the x-axis). Now we can explore taking integrals over any line or curve (called line integrals).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "With traditional integrals, our \"path\" was straight and linear (most of the time, we traversed the x-axis). Now we can explore taking integrals over any line or curve (called line integrals).", "x_pos": 0.0, "node_slug": "line_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6a1ef063", "topic_page_url": "/math/calculus/line_integrals_topic/line_integrals", "extended_slug": "math/calculus/line_integrals_topic/line_integrals", "slug": "line_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "05af59105a00999cd2ce02213b450de36bf4ec13", "standalone_title": "Line integrals for scalar functions", "y_pos": 0.0, "current_revision_key": "05af59105a00999cd2ce02213b450de36bf4ec13", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic/position_vector_functions", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic/position_vector_functions", "translated_standalone_title": "Position vector functions and derivatives", "translated_title": "Position vector functions and derivatives", "gplus_url": "", "id": "x5dd2c2d3", "old_key_name": "685rcIQDBZd7z0g2tGd36EN0NEwCNmZWGse4Ppew", "hide": false, "title": "Position vector functions and derivatives", "child_data": [{"kind": "Video", "id": 24316}, {"kind": "Video", "id": 24318}, {"kind": "Video", "id": 24320}, {"kind": "Video", "id": 24322}], "children": [{"translated_youtube_id": "sBldw95xMD4", "relative_url": "/video/position-vector-valued-functions", "has_questions": false, "keywords": "vector, valued, function, line, integral", "ka_url": "http://www.khanacademy.org/video/position-vector-valued-functions", "duration": 465, "translated_title": "Position vector valued functions", "translated_description_html": "Using a position vector valued function to describe a curve or path", "id": "24316", "description_html": "Using a position vector valued function to describe a curve or path", "title": "Position vector valued functions", "progress_key": "v24316", "edit_slug": "edit/v/24316", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a position vector valued function to describe a curve or path", "extra_properties": null, "node_slug": "v/position-vector-valued-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sBldw95xMD4.mp4/sBldw95xMD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sBldw95xMD4.mp4/sBldw95xMD4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sBldw95xMD4.m3u8/sBldw95xMD4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sBldw95xMD4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24316", "sha": "8cab194d275b6f72d88d309ad1b0a67df8881f8c", "translated_description": "Using a position vector valued function to describe a curve or path", "image_url": "https://img.youtube.com/vi/sBldw95xMD4/hqdefault.jpg", "youtube_id": "sBldw95xMD4", "content_kind": "Video", "readable_id": "position-vector-valued-functions"}, {"translated_youtube_id": "E9Q_Lc0g1xE", "relative_url": "/video/derivative-of-a-position-vector-valued-function", "has_questions": false, "keywords": "derivative, vector, valued, function", "ka_url": "http://www.khanacademy.org/video/derivative-of-a-position-vector-valued-function", "duration": 885, "translated_title": "Derivative of a position vector valued function", "translated_description_html": "Visualizing the derivative of a position vector valued function", "id": "24318", "description_html": "Visualizing the derivative of a position vector valued function", "title": "Derivative of a position vector valued function", "progress_key": "v24318", "edit_slug": "edit/v/24318", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing the derivative of a position vector valued function", "extra_properties": null, "node_slug": "v/derivative-of-a-position-vector-valued-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E9Q_Lc0g1xE.mp4/E9Q_Lc0g1xE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E9Q_Lc0g1xE.mp4/E9Q_Lc0g1xE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E9Q_Lc0g1xE.m3u8/E9Q_Lc0g1xE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E9Q_Lc0g1xE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24318", "sha": "e19062136376693cc69fd5e1a3399652fe1e2c5b", "translated_description": "Visualizing the derivative of a position vector valued function", "image_url": "https://img.youtube.com/vi/E9Q_Lc0g1xE/hqdefault.jpg", "youtube_id": "E9Q_Lc0g1xE", "content_kind": "Video", "readable_id": "derivative-of-a-position-vector-valued-function"}, {"translated_youtube_id": "FYMn61HLw1k", "relative_url": "/video/differential-of-a-vector-valued-function", "has_questions": false, "keywords": "differential, vector, valued, function", "ka_url": "http://www.khanacademy.org/video/differential-of-a-vector-valued-function", "duration": 304, "translated_title": "Differential of a vector valued function", "translated_description_html": "Understanding the differential of a vector valued function", "id": "24320", "description_html": "Understanding the differential of a vector valued function", "title": "Differential of a vector valued function", "progress_key": "v24320", "edit_slug": "edit/v/24320", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the differential of a vector valued function", "extra_properties": null, "node_slug": "v/differential-of-a-vector-valued-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FYMn61HLw1k.mp4/FYMn61HLw1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FYMn61HLw1k.mp4/FYMn61HLw1k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FYMn61HLw1k.m3u8/FYMn61HLw1k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FYMn61HLw1k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24320", "sha": "8917d5e5092d76020a10e0698a15e1098dacbdb0", "translated_description": "Understanding the differential of a vector valued function", "image_url": "https://img.youtube.com/vi/FYMn61HLw1k/hqdefault.jpg", "youtube_id": "FYMn61HLw1k", "content_kind": "Video", "readable_id": "differential-of-a-vector-valued-function"}, {"translated_youtube_id": "vcwvzUVLPw0", "relative_url": "/video/vector-valued-function-derivative-example", "has_questions": false, "keywords": "vector, function, derivative, calculus", "ka_url": "http://www.khanacademy.org/video/vector-valued-function-derivative-example", "duration": 765, "translated_title": "Vector valued function derivative example", "translated_description_html": "Concrete example of the derivative of a vector valued function to better understand what it means", "id": "24322", "description_html": "Concrete example of the derivative of a vector valued function to better understand what it means", "title": "Vector valued function derivative example", "progress_key": "v24322", "edit_slug": "edit/v/24322", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Concrete example of the derivative of a vector valued function to better understand what it means", "extra_properties": null, "node_slug": "v/vector-valued-function-derivative-example", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vcwvzUVLPw0.mp4/vcwvzUVLPw0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vcwvzUVLPw0.mp4/vcwvzUVLPw0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vcwvzUVLPw0.m3u8/vcwvzUVLPw0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vcwvzUVLPw0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24322", "sha": "d96d89827952fa354a0150bfbc3e1aaa5e5c9e56", "translated_description": "Concrete example of the derivative of a vector valued function to better understand what it means", "image_url": "https://img.youtube.com/vi/vcwvzUVLPw0/hqdefault.jpg", "youtube_id": "vcwvzUVLPw0", "content_kind": "Video", "readable_id": "vector-valued-function-derivative-example"}], "twitter_url": "", "translated_description": "In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one. Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one. Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).", "x_pos": 0.0, "node_slug": "position_vector_functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5dd2c2d3", "topic_page_url": "/math/calculus/line_integrals_topic/position_vector_functions", "extended_slug": "math/calculus/line_integrals_topic/position_vector_functions", "slug": "position_vector_functions", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "43c3f22fd7707d2aa2fbced23eb76fe262ee55f3", "standalone_title": "Position vector functions and derivatives", "y_pos": 0.0, "current_revision_key": "43c3f22fd7707d2aa2fbced23eb76fe262ee55f3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic/line_integrals_vectors", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic/line_integrals_vectors", "translated_standalone_title": "Line integrals in vector fields", "translated_title": "Line integrals in vector fields", "gplus_url": "", "id": "x11a3b666", "old_key_name": "RWb1hiXd-dwri21FK69FhUVzGdfs5aY9tuhS3Pbc", "hide": false, "title": "Line integrals in vector fields", "child_data": [{"kind": "Video", "id": 24324}, {"kind": "Video", "id": 24326}, {"kind": "Video", "id": 24328}, {"kind": "Video", "id": 24330}, {"kind": "Video", "id": 24332}, {"kind": "Video", "id": 24334}, {"kind": "Video", "id": 24336}, {"kind": "Video", "id": 24338}, {"kind": "Video", "id": 24340}], "children": [{"translated_youtube_id": "t3cJYNdQLYg", "relative_url": "/video/line-integrals-and-vector-fields", "has_questions": false, "keywords": "work, calculus, vector, field", "ka_url": "http://www.khanacademy.org/video/line-integrals-and-vector-fields", "duration": 1006, "translated_title": "Line integrals and vector fields", "translated_description_html": "Using line integrals to find the work done on a particle moving through a vector field", "id": "24324", "description_html": "Using line integrals to find the work done on a particle moving through a vector field", "title": "Line integrals and vector fields", "progress_key": "v24324", "edit_slug": "edit/v/24324", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using line integrals to find the work done on a particle moving through a vector field", "extra_properties": null, "node_slug": "v/line-integrals-and-vector-fields", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t3cJYNdQLYg.mp4/t3cJYNdQLYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t3cJYNdQLYg.mp4/t3cJYNdQLYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t3cJYNdQLYg.m3u8/t3cJYNdQLYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t3cJYNdQLYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24324", "sha": "29e9c635963f227037951569efcd943663f8e36e", "translated_description": "Using line integrals to find the work done on a particle moving through a vector field", "image_url": "https://img.youtube.com/vi/t3cJYNdQLYg/hqdefault.jpg", "youtube_id": "t3cJYNdQLYg", "content_kind": "Video", "readable_id": "line-integrals-and-vector-fields"}, {"translated_youtube_id": "AFF8FXxt5os", "relative_url": "/video/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example", "has_questions": false, "keywords": "line, integral, work, vector, field, example", "ka_url": "http://www.khanacademy.org/video/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example", "duration": 692, "translated_title": "Using a line integral to find the work done by a vector field example", "translated_description_html": "Using a line integral to find the work done by a vector field example", "id": "24326", "description_html": "Using a line integral to find the work done by a vector field example", "title": "Using a line integral to find the work done by a vector field example", "progress_key": "v24326", "edit_slug": "edit/v/24326", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a line integral to find the work done by a vector field example", "extra_properties": null, "node_slug": "v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AFF8FXxt5os.mp4/AFF8FXxt5os.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AFF8FXxt5os.mp4/AFF8FXxt5os.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AFF8FXxt5os.m3u8/AFF8FXxt5os.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AFF8FXxt5os&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24326", "sha": "a8454dc1149dcba76af21d1720c6aa46ba6c64a8", "translated_description": "Using a line integral to find the work done by a vector field example", "image_url": "https://img.youtube.com/vi/AFF8FXxt5os/hqdefault.jpg", "youtube_id": "AFF8FXxt5os", "content_kind": "Video", "readable_id": "using-a-line-integral-to-find-the-work-done-by-a-vector-field-example"}, {"translated_youtube_id": "eGRZKkmI_fo", "relative_url": "/video/parametrization-of-a-reverse-path", "has_questions": false, "keywords": "parametric, equation, vector, calculus", "ka_url": "http://www.khanacademy.org/video/parametrization-of-a-reverse-path", "duration": 446, "translated_title": "Parametrization of a reverse path", "translated_description_html": "Understanding how to parametrize a reverse path for the same curve.", "id": "24328", "description_html": "Understanding how to parametrize a reverse path for the same curve.", "title": "Parametrization of a reverse path", "progress_key": "v24328", "edit_slug": "edit/v/24328", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how to parametrize a reverse path for the same curve.", "extra_properties": null, "node_slug": "v/parametrization-of-a-reverse-path", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eGRZKkmI_fo.mp4/eGRZKkmI_fo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eGRZKkmI_fo.mp4/eGRZKkmI_fo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eGRZKkmI_fo.m3u8/eGRZKkmI_fo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eGRZKkmI_fo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24328", "sha": "83c0da190008beb6e70db6d427d5f5c42a9537ff", "translated_description": "Understanding how to parametrize a reverse path for the same curve.", "image_url": "https://img.youtube.com/vi/eGRZKkmI_fo/hqdefault.jpg", "youtube_id": "eGRZKkmI_fo", "content_kind": "Video", "readable_id": "parametrization-of-a-reverse-path"}, {"translated_youtube_id": "99pD1-6ZpuM", "relative_url": "/video/scalar-field-line-integral-independent-of-path-direction", "has_questions": false, "keywords": "scalar, field, path, direction, vector, calculus", "ka_url": "http://www.khanacademy.org/video/scalar-field-line-integral-independent-of-path-direction", "duration": 982, "translated_title": "Scalar field line integral independent of path direction", "translated_description_html": "Showing that the line integral of a scalar field is independent of path direction", "id": "24330", "description_html": "Showing that the line integral of a scalar field is independent of path direction", "title": "Scalar field line integral independent of path direction", "progress_key": "v24330", "edit_slug": "edit/v/24330", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the line integral of a scalar field is independent of path direction", "extra_properties": null, "node_slug": "v/scalar-field-line-integral-independent-of-path-direction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/99pD1-6ZpuM.mp4/99pD1-6ZpuM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/99pD1-6ZpuM.mp4/99pD1-6ZpuM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/99pD1-6ZpuM.m3u8/99pD1-6ZpuM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=99pD1-6ZpuM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24330", "sha": "a6b8102aebb4a3f832927a4498f94d1f8e74f1ac", "translated_description": "Showing that the line integral of a scalar field is independent of path direction", "image_url": "https://img.youtube.com/vi/99pD1-6ZpuM/hqdefault.jpg", "youtube_id": "99pD1-6ZpuM", "content_kind": "Video", "readable_id": "scalar-field-line-integral-independent-of-path-direction"}, {"translated_youtube_id": "fuSOY9r1R6w", "relative_url": "/video/vector-field-line-integrals-dependent-on-path-direction", "has_questions": false, "keywords": "line, vector, integral, field, direction, curve", "ka_url": "http://www.khanacademy.org/video/vector-field-line-integrals-dependent-on-path-direction", "duration": 951, "translated_title": "Vector field line integrals dependent on path direction", "translated_description_html": "Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent", "id": "24332", "description_html": "Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent", "title": "Vector field line integrals dependent on path direction", "progress_key": "v24332", "edit_slug": "edit/v/24332", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent", "extra_properties": null, "node_slug": "v/vector-field-line-integrals-dependent-on-path-direction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fuSOY9r1R6w.mp4/fuSOY9r1R6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fuSOY9r1R6w.mp4/fuSOY9r1R6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fuSOY9r1R6w.m3u8/fuSOY9r1R6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fuSOY9r1R6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24332", "sha": "8d3b65ab01f79464104db236cf9f8fec7cf3cc16", "translated_description": "Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent", "image_url": "https://img.youtube.com/vi/fuSOY9r1R6w/hqdefault.jpg", "youtube_id": "fuSOY9r1R6w", "content_kind": "Video", "readable_id": "vector-field-line-integrals-dependent-on-path-direction"}, {"translated_youtube_id": "K_fgnCJOI8I", "relative_url": "/video/path-independence-for-line-integrals", "has_questions": false, "keywords": "path, independent, potential, conservative, line, integral, vector", "ka_url": "http://www.khanacademy.org/video/path-independence-for-line-integrals", "duration": 1034, "translated_title": "Path independence for line integrals", "translated_description_html": "Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent", "id": "24334", "description_html": "Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent", "title": "Path independence for line integrals", "progress_key": "v24334", "edit_slug": "edit/v/24334", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent", "extra_properties": null, "node_slug": "v/path-independence-for-line-integrals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K_fgnCJOI8I.mp4/K_fgnCJOI8I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K_fgnCJOI8I.mp4/K_fgnCJOI8I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K_fgnCJOI8I.m3u8/K_fgnCJOI8I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K_fgnCJOI8I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24334", "sha": "8a697f02f89c9ad0770945751439368c8ba5041c", "translated_description": "Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent", "image_url": "https://img.youtube.com/vi/K_fgnCJOI8I/hqdefault.jpg", "youtube_id": "K_fgnCJOI8I", "content_kind": "Video", "readable_id": "path-independence-for-line-integrals"}, {"translated_youtube_id": "I2dbzp0zHuw", "relative_url": "/video/closed-curve-line-integrals-of-conservative-vector-fields", "has_questions": false, "keywords": "line, integral, conservative, vector, field", "ka_url": "http://www.khanacademy.org/video/closed-curve-line-integrals-of-conservative-vector-fields", "duration": 505, "translated_title": "Closed curve line integrals of conservative vector fields", "translated_description_html": "Showing that the line integral along closed curves of conservative vector fields is zero", "id": "24336", "description_html": "Showing that the line integral along closed curves of conservative vector fields is zero", "title": "Closed curve line integrals of conservative vector fields", "progress_key": "v24336", "edit_slug": "edit/v/24336", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the line integral along closed curves of conservative vector fields is zero", "extra_properties": null, "node_slug": "v/closed-curve-line-integrals-of-conservative-vector-fields", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I2dbzp0zHuw.mp4/I2dbzp0zHuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I2dbzp0zHuw.mp4/I2dbzp0zHuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I2dbzp0zHuw.m3u8/I2dbzp0zHuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I2dbzp0zHuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24336", "sha": "41d3ac8049395aba3a0a0a4c632fd10d587d4f1d", "translated_description": "Showing that the line integral along closed curves of conservative vector fields is zero", "image_url": "https://img.youtube.com/vi/I2dbzp0zHuw/hqdefault.jpg", "youtube_id": "I2dbzp0zHuw", "content_kind": "Video", "readable_id": "closed-curve-line-integrals-of-conservative-vector-fields"}, {"translated_youtube_id": "Q9t1LghwdGc", "relative_url": "/video/example-of-closed-line-integral-of-conservative-field", "has_questions": false, "keywords": "line, integral, conservative, field, vector, calculus", "ka_url": "http://www.khanacademy.org/video/example-of-closed-line-integral-of-conservative-field", "duration": 662, "translated_title": "Example of closed line integral of conservative field", "translated_description_html": "Example of taking a closed line integral of a conservative field", "id": "24338", "description_html": "Example of taking a closed line integral of a conservative field", "title": "Example of closed line integral of conservative field", "progress_key": "v24338", "edit_slug": "edit/v/24338", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of taking a closed line integral of a conservative field", "extra_properties": null, "node_slug": "v/example-of-closed-line-integral-of-conservative-field", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q9t1LghwdGc.mp4/Q9t1LghwdGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q9t1LghwdGc.mp4/Q9t1LghwdGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q9t1LghwdGc.m3u8/Q9t1LghwdGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q9t1LghwdGc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24338", "sha": "e1dd217f2d3b63f2ebbcb15836656dcce3ad5efe", "translated_description": "Example of taking a closed line integral of a conservative field", "image_url": "https://img.youtube.com/vi/Q9t1LghwdGc/hqdefault.jpg", "youtube_id": "Q9t1LghwdGc", "content_kind": "Video", "readable_id": "example-of-closed-line-integral-of-conservative-field"}, {"translated_youtube_id": "LpY8Qa3IP1w", "relative_url": "/video/second-example-of-line-integral-of-conservative-vector-field", "has_questions": false, "keywords": "conservative, vector, field, path, independence, calculus", "ka_url": "http://www.khanacademy.org/video/second-example-of-line-integral-of-conservative-vector-field", "duration": 619, "translated_title": "Second example of line integral of conservative vector field", "translated_description_html": "Using path independence of a conservative vector field to solve a line integral", "id": "24340", "description_html": "Using path independence of a conservative vector field to solve a line integral", "title": "Second example of line integral of conservative vector field", "progress_key": "v24340", "edit_slug": "edit/v/24340", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using path independence of a conservative vector field to solve a line integral", "extra_properties": null, "node_slug": "v/second-example-of-line-integral-of-conservative-vector-field", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LpY8Qa3IP1w.mp4/LpY8Qa3IP1w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LpY8Qa3IP1w.mp4/LpY8Qa3IP1w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LpY8Qa3IP1w.m3u8/LpY8Qa3IP1w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LpY8Qa3IP1w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24340", "sha": "48a849aa99b32ce6dafd8dc6d5b00e9d731da2e8", "translated_description": "Using path independence of a conservative vector field to solve a line integral", "image_url": "https://img.youtube.com/vi/LpY8Qa3IP1w/hqdefault.jpg", "youtube_id": "LpY8Qa3IP1w", "content_kind": "Video", "readable_id": "second-example-of-line-integral-of-conservative-vector-field"}], "twitter_url": "", "translated_description": "You've done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions. In that case, welcome! You are now ready to explore a core tool math and physics: the line integral for vector fields. Need to know the work done as a mass is moved through a gravitational field. No sweat with line integrals.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions. In that case, welcome! You are now ready to explore a core tool math and physics: the line integral for vector fields. Need to know the work done as a mass is moved through a gravitational field. No sweat with line integrals.", "x_pos": 0.0, "node_slug": "line_integrals_vectors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11a3b666", "topic_page_url": "/math/calculus/line_integrals_topic/line_integrals_vectors", "extended_slug": "math/calculus/line_integrals_topic/line_integrals_vectors", "slug": "line_integrals_vectors", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3d6dcaf0a639e8d5682529ccabf05cf6e0b4ccd0", "standalone_title": "Line integrals in vector fields", "y_pos": 0.0, "current_revision_key": "3d6dcaf0a639e8d5682529ccabf05cf6e0b4ccd0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic/greens_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic/greens_theorem", "translated_standalone_title": "Green's theorem", "translated_title": "Green's theorem", "gplus_url": "", "id": "x17b3536e", "old_key_name": "20wavhq1C9TMSBjZwQANsVF6xWmZsCKcUofMf4Hf", "hide": false, "title": "Green's theorem", "child_data": [{"kind": "Video", "id": 24342}, {"kind": "Video", "id": 24344}, {"kind": "Video", "id": 24346}, {"kind": "Video", "id": 24348}], "children": [{"translated_youtube_id": "l5zJvZKfMYE", "relative_url": "/video/green-s-theorem-proof-part-1", "has_questions": false, "keywords": "green's, theorem, proof, vector, calculus", "ka_url": "http://www.khanacademy.org/video/green-s-theorem-proof-part-1", "duration": 866, "translated_title": "Green's theorem proof part 1", "translated_description_html": "Part 1 of the proof of Green's Theorem", "id": "24342", "description_html": "Part 1 of the proof of Green's Theorem", "title": "Green's theorem proof part 1", "progress_key": "v24342", "edit_slug": "edit/v/24342", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1 of the proof of Green's Theorem", "extra_properties": null, "node_slug": "v/green-s-theorem-proof-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5zJvZKfMYE.mp4/l5zJvZKfMYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5zJvZKfMYE.mp4/l5zJvZKfMYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l5zJvZKfMYE.m3u8/l5zJvZKfMYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l5zJvZKfMYE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24342", "sha": "ad4dd6c9c987b921ef35d98565c0d760a0e396d6", "translated_description": "Part 1 of the proof of Green's Theorem", "image_url": "https://img.youtube.com/vi/l5zJvZKfMYE/hqdefault.jpg", "youtube_id": "l5zJvZKfMYE", "content_kind": "Video", "readable_id": "green-s-theorem-proof-part-1"}, {"translated_youtube_id": "qdFD-0OWBRo", "relative_url": "/video/green-s-theorem-proof--part-2", "has_questions": false, "keywords": "green's, theorem, vector, calculus", "ka_url": "http://www.khanacademy.org/video/green-s-theorem-proof--part-2", "duration": 1166, "translated_title": "Green's theorem proof (part 2)", "translated_description_html": "Part 2 of the proof of Green's Theorem", "id": "24344", "description_html": "Part 2 of the proof of Green's Theorem", "title": "Green's theorem proof (part 2)", "progress_key": "v24344", "edit_slug": "edit/v/24344", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of the proof of Green's Theorem", "extra_properties": null, "node_slug": "v/green-s-theorem-proof--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qdFD-0OWBRo.mp4/qdFD-0OWBRo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qdFD-0OWBRo.mp4/qdFD-0OWBRo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qdFD-0OWBRo.m3u8/qdFD-0OWBRo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qdFD-0OWBRo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24344", "sha": "571f8ac4886da3bc3fbcc326df4118615e50924a", "translated_description": "Part 2 of the proof of Green's Theorem", "image_url": "https://img.youtube.com/vi/qdFD-0OWBRo/hqdefault.jpg", "youtube_id": "qdFD-0OWBRo", "content_kind": "Video", "readable_id": "green-s-theorem-proof--part-2"}, {"translated_youtube_id": "gGXnILbrhsM", "relative_url": "/video/green-s-theorem-example-1", "has_questions": false, "keywords": "greens, theorem, line, integral, vector, field", "ka_url": "http://www.khanacademy.org/video/green-s-theorem-example-1", "duration": 631, "translated_title": "Green's theorem example 1", "translated_description_html": "Using Green's Theorem to solve a line integral of a vector field", "id": "24346", "description_html": "Using Green's Theorem to solve a line integral of a vector field", "title": "Green's theorem example 1", "progress_key": "v24346", "edit_slug": "edit/v/24346", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Green's Theorem to solve a line integral of a vector field", "extra_properties": null, "node_slug": "v/green-s-theorem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gGXnILbrhsM.mp4/gGXnILbrhsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gGXnILbrhsM.mp4/gGXnILbrhsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gGXnILbrhsM.m3u8/gGXnILbrhsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gGXnILbrhsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24346", "sha": "8db0f4cf27e2ba750dc505a5a2e3837ac7637193", "translated_description": "Using Green's Theorem to solve a line integral of a vector field", "image_url": "https://img.youtube.com/vi/gGXnILbrhsM/hqdefault.jpg", "youtube_id": "gGXnILbrhsM", "content_kind": "Video", "readable_id": "green-s-theorem-example-1"}, {"translated_youtube_id": "sSyPAAyL8nQ", "relative_url": "/video/green-s-theorem-example-2", "has_questions": false, "keywords": "Green's, theorem, line, integral, vector, calculus", "ka_url": "http://www.khanacademy.org/video/green-s-theorem-example-2", "duration": 427, "translated_title": "Green's theorem example 2", "translated_description_html": "Another example applying Green's Theorem", "id": "24348", "description_html": "Another example applying Green's Theorem", "title": "Green's theorem example 2", "progress_key": "v24348", "edit_slug": "edit/v/24348", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example applying Green's Theorem", "extra_properties": null, "node_slug": "v/green-s-theorem-example-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sSyPAAyL8nQ.mp4/sSyPAAyL8nQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sSyPAAyL8nQ.mp4/sSyPAAyL8nQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sSyPAAyL8nQ.m3u8/sSyPAAyL8nQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sSyPAAyL8nQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24348", "sha": "f291c391b55d7eb19ae322e0d12028d9bd590882", "translated_description": "Another example applying Green's Theorem", "image_url": "https://img.youtube.com/vi/sSyPAAyL8nQ/hqdefault.jpg", "youtube_id": "sSyPAAyL8nQ", "content_kind": "Video", "readable_id": "green-s-theorem-example-2"}], "twitter_url": "", "translated_description": "It is sometimes easier to take a double integral (a particular double integral as we'll see) over a region and sometimes easier to take a line integral around the boundary. Green's theorem draws the connection between the two so we can go back and forth. This tutorial proves Green's theorem and then gives a few examples of using it. If you can take line integrals through vector fields, you're ready for Mr. Green.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It is sometimes easier to take a double integral (a particular double integral as we'll see) over a region and sometimes easier to take a line integral around the boundary. Green's theorem draws the connection between the two so we can go back and forth. This tutorial proves Green's theorem and then gives a few examples of using it. If you can take line integrals through vector fields, you're ready for Mr. Green.", "x_pos": 0.0, "node_slug": "greens_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax17b3536e", "topic_page_url": "/math/calculus/line_integrals_topic/greens_theorem", "extended_slug": "math/calculus/line_integrals_topic/greens_theorem", "slug": "greens_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "90dc8591521803310f51927c101cc0168f2a9322", "standalone_title": "Green's theorem", "y_pos": 0.0, "current_revision_key": "90dc8591521803310f51927c101cc0168f2a9322", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/line_integrals_topic/2d_divergence_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/line_integrals_topic/2d_divergence_theorem", "translated_standalone_title": "2-D Divergence theorem", "translated_title": "2D divergence theorem", "gplus_url": "", "id": "xcc25eb22", "old_key_name": "2aHiHnVnuPiNyn62wgp4xIAdvVqvKSYhGcKvgapF", "hide": false, "title": "2D divergence theorem", "child_data": [{"kind": "Video", "id": 809395096}, {"kind": "Video", "id": 809321651}, {"kind": "Video", "id": 809302581}], "children": [{"translated_youtube_id": "_9x2cqO7-Ig", "relative_url": "/video/constructing-a-unit-normal-vector-to-a-curve", "has_questions": false, "keywords": "vector, calculus, normal, tanget, unti", "ka_url": "http://www.khanacademy.org/video/constructing-a-unit-normal-vector-to-a-curve", "duration": 608, "translated_title": "Constructing a unit normal vector to a curve", "translated_description_html": "Figuring out a unit normal vector at any point along a curve defined by a position vector function", "id": "809395096", "description_html": "Figuring out a unit normal vector at any point along a curve defined by a position vector function", "title": "Constructing a unit normal vector to a curve", "progress_key": "v809395096", "edit_slug": "edit/v/809395096", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out a unit normal vector at any point along a curve defined by a position vector function", "extra_properties": null, "node_slug": "v/constructing-a-unit-normal-vector-to-a-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-28T21:07:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_9x2cqO7-Ig.mp4/_9x2cqO7-Ig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_9x2cqO7-Ig.mp4/_9x2cqO7-Ig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_9x2cqO7-Ig.m3u8/_9x2cqO7-Ig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_9x2cqO7-Ig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809395096", "sha": "8a6e9436a71efb88057b4b11d5d77a7df051f02c", "translated_description": "Figuring out a unit normal vector at any point along a curve defined by a position vector function", "image_url": "https://img.youtube.com/vi/_9x2cqO7-Ig/hqdefault.jpg", "youtube_id": "_9x2cqO7-Ig", "content_kind": "Video", "readable_id": "constructing-a-unit-normal-vector-to-a-curve"}, {"translated_youtube_id": "eoJGBr-tJXo", "relative_url": "/video/2-d-divergence-theorem", "has_questions": false, "keywords": "Divergence, Theorem", "ka_url": "http://www.khanacademy.org/video/2-d-divergence-theorem", "duration": 884, "translated_title": "2D divergence theorem", "translated_description_html": "Using Green's Theorem to establish a two dimensional version of the Divergence Theorem", "id": "809321651", "description_html": "Using Green's Theorem to establish a two dimensional version of the Divergence Theorem", "title": "2D divergence theorem", "progress_key": "v809321651", "edit_slug": "edit/v/809321651", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using Green's Theorem to establish a two dimensional version of the Divergence Theorem", "extra_properties": null, "node_slug": "v/2-d-divergence-theorem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-28T21:08:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.mp4/eoJGBr-tJXo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.mp4/eoJGBr-tJXo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.m3u8/eoJGBr-tJXo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eoJGBr-tJXo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809321651", "sha": "eca1e4ac8e5e3f20f5215918ebee2c1d76910616", "translated_description": "Using Green's Theorem to establish a two dimensional version of the Divergence Theorem", "image_url": "https://img.youtube.com/vi/eoJGBr-tJXo/hqdefault.jpg", "youtube_id": "eoJGBr-tJXo", "content_kind": "Video", "readable_id": "2-d-divergence-theorem"}, {"translated_youtube_id": "qs0hRHfnzTQ", "relative_url": "/video/conceptual-clarification-for-2-d-divergence-theorem", "has_questions": false, "keywords": "vector, calculus", "ka_url": "http://www.khanacademy.org/video/conceptual-clarification-for-2-d-divergence-theorem", "duration": 568, "translated_title": "Conceptual clarification for 2D divergence theorem", "translated_description_html": "Understanding the line integral as flux through a boundary", "id": "809302581", "description_html": "Understanding the line integral as flux through a boundary", "title": "Conceptual clarification for 2D divergence theorem", "progress_key": "v809302581", "edit_slug": "edit/v/809302581", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the line integral as flux through a boundary", "extra_properties": null, "node_slug": "v/conceptual-clarification-for-2-d-divergence-theorem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-28T21:09:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qs0hRHfnzTQ.mp4/qs0hRHfnzTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qs0hRHfnzTQ.mp4/qs0hRHfnzTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qs0hRHfnzTQ.m3u8/qs0hRHfnzTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qs0hRHfnzTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809302581", "sha": "8c3b8bdc3fb99629409621617b664ad7d9f8ede9", "translated_description": "Understanding the line integral as flux through a boundary", "image_url": "https://img.youtube.com/vi/qs0hRHfnzTQ/hqdefault.jpg", "youtube_id": "qs0hRHfnzTQ", "content_kind": "Video", "readable_id": "conceptual-clarification-for-2-d-divergence-theorem"}], "twitter_url": "", "translated_description": "Using Green's theorem (which you should already be familiar with) to establish that the \"flux\" through the boundary of a region is equal to the double integral of the divergence over the region. We'll also talk about why this makes conceptual sense.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using Green's theorem (which you should already be familiar with) to establish that the \"flux\" through the boundary of a region is equal to the double integral of the divergence over the region. We'll also talk about why this makes conceptual sense.", "x_pos": 0.0, "node_slug": "2d_divergence_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcc25eb22", "topic_page_url": "/math/calculus/line_integrals_topic/2d_divergence_theorem", "extended_slug": "math/calculus/line_integrals_topic/2d_divergence_theorem", "slug": "2d_divergence_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "21049c6a8727512bbe8eef502c349ffebd59dc1a", "standalone_title": "2-D Divergence theorem", "y_pos": 0.0, "current_revision_key": "21049c6a8727512bbe8eef502c349ffebd59dc1a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem.", "x_pos": 0.0, "node_slug": "line_integrals_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax833b5150", "topic_page_url": "/math/calculus/line_integrals_topic", "extended_slug": "math/calculus/line_integrals_topic", "slug": "line_integrals_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "95521907f169a72eeaf5fac97935e2796150f3c5", "standalone_title": "Line integrals and Green's theorem", "y_pos": 0.0, "current_revision_key": "95521907f169a72eeaf5fac97935e2796150f3c5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus", "translated_standalone_title": "Surface integrals and Stokes' theorem", "translated_title": "Surface integrals and Stokes' theorem", "gplus_url": "", "id": "xa3642b9a", "old_key_name": "r5y4eE6F_G-S987BIFsB18L3K3dcaAo2AQyiK0XN", "hide": false, "title": "Surface integrals and Stokes' theorem", "child_data": [{"kind": "Topic", "id": "xaaa03698"}, {"kind": "Topic", "id": "xd5892eb4"}, {"kind": "Topic", "id": "x9106372b"}, {"kind": "Topic", "id": "x86156ed3"}, {"kind": "Topic", "id": "x82104bac"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus/surface_parametrization", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus/surface_parametrization", "translated_standalone_title": "Parametrizing a surface", "translated_title": "Parameterizing a surface", "gplus_url": "", "id": "xaaa03698", "old_key_name": "qG4PyA1v3wOI209gfa41oclcvDI458WPtMKNGCAM", "hide": false, "title": "Parameterizing a surface", "child_data": [{"kind": "Video", "id": 2505283}, {"kind": "Video", "id": 2542218}], "children": [{"translated_youtube_id": "owKAHXf1y1A", "relative_url": "/video/introduction-to-parametrizing-a-surface-with-two-parameters", "has_questions": false, "keywords": "Introduction, to, Parametrizing, Surface, with, Two, Parameters", "ka_url": "http://www.khanacademy.org/video/introduction-to-parametrizing-a-surface-with-two-parameters", "duration": 1142, "translated_title": "Introduction to parametrizing a surface with two parameters", "translated_description_html": "Introduction to Parametrizing a Surface with Two Parameters", "id": "2505283", "description_html": "Introduction to Parametrizing a Surface with Two Parameters", "title": "Introduction to parametrizing a surface with two parameters", "progress_key": "v2505283", "edit_slug": "edit/v/2505283", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Parametrizing a Surface with Two Parameters", "extra_properties": null, "node_slug": "v/introduction-to-parametrizing-a-surface-with-two-parameters", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/owKAHXf1y1A.mp4/owKAHXf1y1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/owKAHXf1y1A.mp4/owKAHXf1y1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/owKAHXf1y1A.m3u8/owKAHXf1y1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=owKAHXf1y1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2505283", "sha": "dfa7401d6266d095d5049b757dd036df2a3e98dc", "translated_description": "Introduction to Parametrizing a Surface with Two Parameters", "image_url": "https://img.youtube.com/vi/owKAHXf1y1A/hqdefault.jpg", "youtube_id": "owKAHXf1y1A", "content_kind": "Video", "readable_id": "introduction-to-parametrizing-a-surface-with-two-parameters"}, {"translated_youtube_id": "bJ_09eoCmag", "relative_url": "/video/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters", "has_questions": false, "keywords": "Determining, Position, Vector-Valued, Function, for, Parametrization, of, Two, Parameters", "ka_url": "http://www.khanacademy.org/video/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters", "duration": 992, "translated_title": "Determining a position vector-valued function for a parametrization of two parameters", "translated_description_html": "Determining a Position Vector-Valued Function for a Parametrization of Two Parameters", "id": "2542218", "description_html": "Determining a Position Vector-Valued Function for a Parametrization of Two Parameters", "title": "Determining a position vector-valued function for a parametrization of two parameters", "progress_key": "v2542218", "edit_slug": "edit/v/2542218", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Determining a Position Vector-Valued Function for a Parametrization of Two Parameters", "extra_properties": null, "node_slug": "v/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bJ_09eoCmag.mp4/bJ_09eoCmag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bJ_09eoCmag.mp4/bJ_09eoCmag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bJ_09eoCmag.m3u8/bJ_09eoCmag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bJ_09eoCmag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2542218", "sha": "f89ed754d44e023a6142f60ee2d19f58d9e8b4d8", "translated_description": "Determining a Position Vector-Valued Function for a Parametrization of Two Parameters", "image_url": "https://img.youtube.com/vi/bJ_09eoCmag/hqdefault.jpg", "youtube_id": "bJ_09eoCmag", "content_kind": "Video", "readable_id": "determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters"}], "twitter_url": "", "translated_description": "You can parameterize a line with a position vector valued function and understand what a differential means in that context already. This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can parameterize a line with a position vector valued function and understand what a differential means in that context already. This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.", "x_pos": 0.0, "node_slug": "surface_parametrization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaaa03698", "topic_page_url": "/math/calculus/multivariable-calculus/surface_parametrization", "extended_slug": "math/calculus/multivariable-calculus/surface_parametrization", "slug": "surface_parametrization", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "aed78ecb416b14da1f3613e5d096893271da1e53", "standalone_title": "Parametrizing a surface", "y_pos": 0.0, "current_revision_key": "aed78ecb416b14da1f3613e5d096893271da1e53", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus/surface_integrals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus/surface_integrals", "translated_standalone_title": "Surface integrals", "translated_title": "Surface integrals", "gplus_url": "", "id": "xd5892eb4", "old_key_name": "KRthNNbViOw3FTnn6iUUhaHEwzSqJSIJaJFRvFUV", "hide": false, "title": "Surface integrals", "child_data": [{"kind": "Video", "id": 2565195}, {"kind": "Video", "id": 24356}, {"kind": "Video", "id": 24358}, {"kind": "Video", "id": 24360}, {"kind": "Video", "id": 24362}, {"kind": "Video", "id": 809362246}, {"kind": "Video", "id": 809263849}, {"kind": "Video", "id": 809327989}, {"kind": "Video", "id": 815244209}, {"kind": "Video", "id": 815252175}, {"kind": "Video", "id": 815198581}, {"kind": "Video", "id": 815059993}, {"kind": "Video", "id": 815160761}, {"kind": "Video", "id": 815201348}], "children": [{"translated_youtube_id": "c7ByaI3T7Dc", "relative_url": "/video/partial-derivatives-of-vector-valued-functions", "has_questions": false, "keywords": "Partial, Derivatives, of, Vector-Valued, Functions", "ka_url": "http://www.khanacademy.org/video/partial-derivatives-of-vector-valued-functions", "duration": 607, "translated_title": "Partial derivatives of vector-valued functions", "translated_description_html": "Partial Derivatives of Vector-Valued Functions", "id": "2565195", "description_html": "Partial Derivatives of Vector-Valued Functions", "title": "Partial derivatives of vector-valued functions", "progress_key": "v2565195", "edit_slug": "edit/v/2565195", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Partial Derivatives of Vector-Valued Functions", "extra_properties": null, "node_slug": "v/partial-derivatives-of-vector-valued-functions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c7ByaI3T7Dc.mp4/c7ByaI3T7Dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c7ByaI3T7Dc.mp4/c7ByaI3T7Dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c7ByaI3T7Dc.m3u8/c7ByaI3T7Dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c7ByaI3T7Dc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2565195", "sha": "658d68efa6274c8d6e0aa9400e826a7c8a5e704b", "translated_description": "Partial Derivatives of Vector-Valued Functions", "image_url": "https://img.youtube.com/vi/c7ByaI3T7Dc/hqdefault.jpg", "youtube_id": "c7ByaI3T7Dc", "content_kind": "Video", "readable_id": "partial-derivatives-of-vector-valued-functions"}, {"translated_youtube_id": "9k97m8oWnaY", "relative_url": "/video/introduction-to-the-surface-integral", "has_questions": false, "keywords": "vector, calculus, surface, integral", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-surface-integral", "duration": 1334, "translated_title": "Introduction to the surface integral", "translated_description_html": "Introduction to the surface integral", "id": "24356", "description_html": "Introduction to the surface integral", "title": "Introduction to the surface integral", "progress_key": "v24356", "edit_slug": "edit/v/24356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the surface integral", "extra_properties": null, "node_slug": "v/introduction-to-the-surface-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9k97m8oWnaY.mp4/9k97m8oWnaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9k97m8oWnaY.mp4/9k97m8oWnaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9k97m8oWnaY.m3u8/9k97m8oWnaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9k97m8oWnaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24356", "sha": "2da775668bebb80a49caa179d5dc038571cde8d9", "translated_description": "Introduction to the surface integral", "image_url": "https://img.youtube.com/vi/9k97m8oWnaY/hqdefault.jpg", "youtube_id": "9k97m8oWnaY", "content_kind": "Video", "readable_id": "introduction-to-the-surface-integral"}, {"translated_youtube_id": "7sQCcGlK2bY", "relative_url": "/video/example-of-calculating-a-surface-integral-part-1", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/example-of-calculating-a-surface-integral-part-1", "duration": 645, "translated_title": "Example of calculating a surface integral part 1", "translated_description_html": "Example of calculating a surface integral part 1", "id": "24358", "description_html": "Example of calculating a surface integral part 1", "title": "Example of calculating a surface integral part 1", "progress_key": "v24358", "edit_slug": "edit/v/24358", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating a surface integral part 1", "extra_properties": null, "node_slug": "v/example-of-calculating-a-surface-integral-part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7sQCcGlK2bY.mp4/7sQCcGlK2bY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7sQCcGlK2bY.mp4/7sQCcGlK2bY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7sQCcGlK2bY.m3u8/7sQCcGlK2bY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7sQCcGlK2bY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24358", "sha": "ca9a022eb516c513483d7266fcd489c5069c07c4", "translated_description": "Example of calculating a surface integral part 1", "image_url": "https://img.youtube.com/vi/7sQCcGlK2bY/hqdefault.jpg", "youtube_id": "7sQCcGlK2bY", "content_kind": "Video", "readable_id": "example-of-calculating-a-surface-integral-part-1"}, {"translated_youtube_id": "qQAhhithHa8", "relative_url": "/video/example-of-calculating-a-surface-integral-part-2", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/example-of-calculating-a-surface-integral-part-2", "duration": 629, "translated_title": "Example of calculating a surface integral part 2", "translated_description_html": "Example of calculating a surface integral part 2", "id": "24360", "description_html": "Example of calculating a surface integral part 2", "title": "Example of calculating a surface integral part 2", "progress_key": "v24360", "edit_slug": "edit/v/24360", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating a surface integral part 2", "extra_properties": null, "node_slug": "v/example-of-calculating-a-surface-integral-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qQAhhithHa8.mp4/qQAhhithHa8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qQAhhithHa8.mp4/qQAhhithHa8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qQAhhithHa8.m3u8/qQAhhithHa8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qQAhhithHa8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24360", "sha": "cb93d9f5242b016041eb2d042bf849c7c68309af", "translated_description": "Example of calculating a surface integral part 2", "image_url": "https://img.youtube.com/vi/qQAhhithHa8/hqdefault.jpg", "youtube_id": "qQAhhithHa8", "content_kind": "Video", "readable_id": "example-of-calculating-a-surface-integral-part-2"}, {"translated_youtube_id": "s2_NTiISZl4", "relative_url": "/video/example-of-calculating-a-surface-integral-part-3", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/example-of-calculating-a-surface-integral-part-3", "duration": 594, "translated_title": "Example of calculating a surface integral part 3", "translated_description_html": "Example of calculating a surface integral part 3", "id": "24362", "description_html": "Example of calculating a surface integral part 3", "title": "Example of calculating a surface integral part 3", "progress_key": "v24362", "edit_slug": "edit/v/24362", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating a surface integral part 3", "extra_properties": null, "node_slug": "v/example-of-calculating-a-surface-integral-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:33:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s2_NTiISZl4.mp4/s2_NTiISZl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s2_NTiISZl4.mp4/s2_NTiISZl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s2_NTiISZl4.m3u8/s2_NTiISZl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s2_NTiISZl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24362", "sha": "fcee24a55a2ae65279bf47cce60349f51ff2126e", "translated_description": "Example of calculating a surface integral part 3", "image_url": "https://img.youtube.com/vi/s2_NTiISZl4/hqdefault.jpg", "youtube_id": "s2_NTiISZl4", "content_kind": "Video", "readable_id": "example-of-calculating-a-surface-integral-part-3"}, {"translated_youtube_id": "E_Hwhp74Rhc", "relative_url": "/video/surface-integral-example-part-1---parameterizing-the-unit-sphere", "has_questions": false, "keywords": "vector, calculus, surface, integral", "ka_url": "http://www.khanacademy.org/video/surface-integral-example-part-1---parameterizing-the-unit-sphere", "duration": 665, "translated_title": "Surface integral example part 1: Parameterizing the unit sphere", "translated_description_html": "Visualizing a suitable parameterization", "id": "809362246", "description_html": "Visualizing a suitable parameterization", "title": "Surface integral example part 1: Parameterizing the unit sphere", "progress_key": "v809362246", "edit_slug": "edit/v/809362246", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing a suitable parameterization", "extra_properties": null, "node_slug": "v/surface-integral-example-part-1---parameterizing-the-unit-sphere", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-28T21:09:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_Hwhp74Rhc.mp4/E_Hwhp74Rhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_Hwhp74Rhc.mp4/E_Hwhp74Rhc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E_Hwhp74Rhc.m3u8/E_Hwhp74Rhc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E_Hwhp74Rhc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809362246", "sha": "1490949ea5fb2bfab904374559741b41730c9c7e", "translated_description": "Visualizing a suitable parameterization", "image_url": "https://img.youtube.com/vi/E_Hwhp74Rhc/hqdefault.jpg", "youtube_id": "E_Hwhp74Rhc", "content_kind": "Video", "readable_id": "surface-integral-example-part-1---parameterizing-the-unit-sphere"}, {"translated_youtube_id": "tyVCA_8MUV4", "relative_url": "/video/surface-integral-example-part-2---calculating-the-surface-differential", "has_questions": false, "keywords": "Surface, Integral, Example, Part, 2, Calculating, the, Differential", "ka_url": "http://www.khanacademy.org/video/surface-integral-example-part-2---calculating-the-surface-differential", "duration": 771, "translated_title": "Surface integral example part 2: Calculating the surface differential", "translated_description_html": "Taking the cross product to calculate the surface differential in terms of the parameters", "id": "809263849", "description_html": "Taking the cross product to calculate the surface differential in terms of the parameters", "title": "Surface integral example part 2: Calculating the surface differential", "progress_key": "v809263849", "edit_slug": "edit/v/809263849", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Taking the cross product to calculate the surface differential in terms of the parameters", "extra_properties": null, "node_slug": "v/surface-integral-example-part-2---calculating-the-surface-differential", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-28T21:11:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tyVCA_8MUV4.mp4/tyVCA_8MUV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tyVCA_8MUV4.mp4/tyVCA_8MUV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tyVCA_8MUV4.m3u8/tyVCA_8MUV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tyVCA_8MUV4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809263849", "sha": "09a9cd8474c3375887e979bb59968a0222622187", "translated_description": "Taking the cross product to calculate the surface differential in terms of the parameters", "image_url": "https://img.youtube.com/vi/tyVCA_8MUV4/hqdefault.jpg", "youtube_id": "tyVCA_8MUV4", "content_kind": "Video", "readable_id": "surface-integral-example-part-2---calculating-the-surface-differential"}, {"translated_youtube_id": "uzOXGgAgmPs", "relative_url": "/video/surface-integral-example-part-3---the-home-stretch", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/surface-integral-example-part-3---the-home-stretch", "duration": 759, "translated_title": "Surface integral example part 3: The home stretch", "translated_description_html": "Using a few trigonometric identities to finally calculate the value of the surface integral", "id": "809327989", "description_html": "Using a few trigonometric identities to finally calculate the value of the surface integral", "title": "Surface integral example part 3: The home stretch", "progress_key": "v809327989", "edit_slug": "edit/v/809327989", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a few trigonometric identities to finally calculate the value of the surface integral", "extra_properties": null, "node_slug": "v/surface-integral-example-part-3---the-home-stretch", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-05-28T21:12:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzOXGgAgmPs.mp4/uzOXGgAgmPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzOXGgAgmPs.mp4/uzOXGgAgmPs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzOXGgAgmPs.m3u8/uzOXGgAgmPs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzOXGgAgmPs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v809327989", "sha": "f0fc5c901da9fac8863c2d97121de77059cbfee7", "translated_description": "Using a few trigonometric identities to finally calculate the value of the surface integral", "image_url": "https://img.youtube.com/vi/uzOXGgAgmPs/hqdefault.jpg", "youtube_id": "uzOXGgAgmPs", "content_kind": "Video", "readable_id": "surface-integral-example-part-3---the-home-stretch"}, {"translated_youtube_id": "PpUWpxAb39w", "relative_url": "/video/surface-integral-ex2-part-1---parameterizing-the-surface", "has_questions": false, "keywords": "surface, integral, calculus", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex2-part-1---parameterizing-the-surface", "duration": 310, "translated_title": "Surface integral ex2 part 1: Parameterizing the surface", "translated_description_html": "Parametrizing a surface that can be explictly made a function of x and y.", "id": "815244209", "description_html": "Parametrizing a surface that can be explictly made a function of x and y.", "title": "Surface integral ex2 part 1: Parameterizing the surface", "progress_key": "v815244209", "edit_slug": "edit/v/815244209", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Parametrizing a surface that can be explictly made a function of x and y.", "extra_properties": null, "node_slug": "v/surface-integral-ex2-part-1---parameterizing-the-surface", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-05-31T21:18:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PpUWpxAb39w.mp4/PpUWpxAb39w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PpUWpxAb39w.mp4/PpUWpxAb39w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PpUWpxAb39w.m3u8/PpUWpxAb39w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PpUWpxAb39w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815244209", "sha": "e66b29dec2a2cd4e9e5f4f767bba4694d99951ec", "translated_description": "Parametrizing a surface that can be explictly made a function of x and y.", "image_url": "https://img.youtube.com/vi/PpUWpxAb39w/hqdefault.jpg", "youtube_id": "PpUWpxAb39w", "content_kind": "Video", "readable_id": "surface-integral-ex2-part-1---parameterizing-the-surface"}, {"translated_youtube_id": "ItW5CxLsLSo", "relative_url": "/video/surface-integral-ex2-part-2---evaluating-integral", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex2-part-2---evaluating-integral", "duration": 591, "translated_title": "Surface integral ex2 part 2: Evaluating integral", "translated_description_html": "Evaluating the surface integral", "id": "815252175", "description_html": "Evaluating the surface integral", "title": "Surface integral ex2 part 2: Evaluating integral", "progress_key": "v815252175", "edit_slug": "edit/v/815252175", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Evaluating the surface integral", "extra_properties": null, "node_slug": "v/surface-integral-ex2-part-2---evaluating-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-31T21:18:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ItW5CxLsLSo.mp4/ItW5CxLsLSo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ItW5CxLsLSo.mp4/ItW5CxLsLSo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ItW5CxLsLSo.m3u8/ItW5CxLsLSo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ItW5CxLsLSo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815252175", "sha": "878fce183b4a559647addfcf7ac719463d0eef96", "translated_description": "Evaluating the surface integral", "image_url": "https://img.youtube.com/vi/ItW5CxLsLSo/hqdefault.jpg", "youtube_id": "ItW5CxLsLSo", "content_kind": "Video", "readable_id": "surface-integral-ex2-part-2---evaluating-integral"}, {"translated_youtube_id": "EOpzN8ZHqpU", "relative_url": "/video/surface-integral-ex3-part-1---parameterizing-the-outside-surface", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex3-part-1---parameterizing-the-outside-surface", "duration": 540, "translated_title": "Surface integral ex3 part 1: Parameterizing the outside surface", "translated_description_html": "Breaking apart a larger surface into its components", "id": "815198581", "description_html": "Breaking apart a larger surface into its components", "title": "Surface integral ex3 part 1: Parameterizing the outside surface", "progress_key": "v815198581", "edit_slug": "edit/v/815198581", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Breaking apart a larger surface into its components", "extra_properties": null, "node_slug": "v/surface-integral-ex3-part-1---parameterizing-the-outside-surface", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-31T21:18:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EOpzN8ZHqpU.mp4/EOpzN8ZHqpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EOpzN8ZHqpU.mp4/EOpzN8ZHqpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EOpzN8ZHqpU.m3u8/EOpzN8ZHqpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EOpzN8ZHqpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815198581", "sha": "5c5648875e1acdfa927c0370a1056cb8aab73005", "translated_description": "Breaking apart a larger surface into its components", "image_url": "https://img.youtube.com/vi/EOpzN8ZHqpU/hqdefault.jpg", "youtube_id": "EOpzN8ZHqpU", "content_kind": "Video", "readable_id": "surface-integral-ex3-part-1---parameterizing-the-outside-surface"}, {"translated_youtube_id": "xGiILI906C4", "relative_url": "/video/surface-integral-ex3-part-2---evaluating-the-outside-surface", "has_questions": false, "keywords": "surface, integral, calculus", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex3-part-2---evaluating-the-outside-surface", "duration": 550, "translated_title": "Surface integral ex3 part 2: Evaluating the outside surface", "translated_description_html": "Evaluating the surface integral over the outside of the chopped cylinder", "id": "815059993", "description_html": "Evaluating the surface integral over the outside of the chopped cylinder", "title": "Surface integral ex3 part 2: Evaluating the outside surface", "progress_key": "v815059993", "edit_slug": "edit/v/815059993", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating the surface integral over the outside of the chopped cylinder", "extra_properties": null, "node_slug": "v/surface-integral-ex3-part-2---evaluating-the-outside-surface", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-05-31T21:19:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGiILI906C4.mp4/xGiILI906C4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGiILI906C4.mp4/xGiILI906C4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xGiILI906C4.m3u8/xGiILI906C4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xGiILI906C4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815059993", "sha": "fab289a6bff5ff1e5901e675d9d5fad3ebbe2f57", "translated_description": "Evaluating the surface integral over the outside of the chopped cylinder", "image_url": "https://img.youtube.com/vi/xGiILI906C4/hqdefault.jpg", "youtube_id": "xGiILI906C4", "content_kind": "Video", "readable_id": "surface-integral-ex3-part-2---evaluating-the-outside-surface"}, {"translated_youtube_id": "wiVWafc3JBM", "relative_url": "/video/surface-integral-ex3-part-3---top-surface", "has_questions": false, "keywords": "surface, integrals", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex3-part-3---top-surface", "duration": 761, "translated_title": "Surface integral ex3 part 3: Top surface", "translated_description_html": "Parametrizing the top surface", "id": "815160761", "description_html": "Parametrizing the top surface", "title": "Surface integral ex3 part 3: Top surface", "progress_key": "v815160761", "edit_slug": "edit/v/815160761", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parametrizing the top surface", "extra_properties": null, "node_slug": "v/surface-integral-ex3-part-3---top-surface", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-31T21:19:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wiVWafc3JBM.mp4/wiVWafc3JBM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wiVWafc3JBM.mp4/wiVWafc3JBM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wiVWafc3JBM.m3u8/wiVWafc3JBM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wiVWafc3JBM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815160761", "sha": "ee09ff6002659c1e52bafb2171b87040e5309744", "translated_description": "Parametrizing the top surface", "image_url": "https://img.youtube.com/vi/wiVWafc3JBM/hqdefault.jpg", "youtube_id": "wiVWafc3JBM", "content_kind": "Video", "readable_id": "surface-integral-ex3-part-3---top-surface"}, {"translated_youtube_id": "bhrmEy0wvD0", "relative_url": "/video/surface-integral-ex3-part-4---home-stretch", "has_questions": false, "keywords": "vector, calculus, multivariable", "ka_url": "http://www.khanacademy.org/video/surface-integral-ex3-part-4---home-stretch", "duration": 242, "translated_title": "Surface integral ex3 part 4: Home stretch", "translated_description_html": "Evaluating the third surface integral and coming to the final answer", "id": "815201348", "description_html": "Evaluating the third surface integral and coming to the final answer", "title": "Surface integral ex3 part 4: Home stretch", "progress_key": "v815201348", "edit_slug": "edit/v/815201348", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating the third surface integral and coming to the final answer", "extra_properties": null, "node_slug": "v/surface-integral-ex3-part-4---home-stretch", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-05-31T21:20:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bhrmEy0wvD0.mp4/bhrmEy0wvD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bhrmEy0wvD0.mp4/bhrmEy0wvD0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bhrmEy0wvD0.m3u8/bhrmEy0wvD0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bhrmEy0wvD0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815201348", "sha": "c5fa19e4f32bcdb72e269843b516512d430ec367", "translated_description": "Evaluating the third surface integral and coming to the final answer", "image_url": "https://img.youtube.com/vi/bhrmEy0wvD0/hqdefault.jpg", "youtube_id": "bhrmEy0wvD0", "content_kind": "Video", "readable_id": "surface-integral-ex3-part-4---home-stretch"}], "twitter_url": "", "translated_description": "Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.", "x_pos": 0.0, "node_slug": "surface_integrals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd5892eb4", "topic_page_url": "/math/calculus/multivariable-calculus/surface_integrals", "extended_slug": "math/calculus/multivariable-calculus/surface_integrals", "slug": "surface_integrals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "08e1a8a1a7f51b7e93f12e16c3dee00be57eecbf", "standalone_title": "Surface integrals", "y_pos": 0.0, "current_revision_key": "08e1a8a1a7f51b7e93f12e16c3dee00be57eecbf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus/3d_flux", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus/3d_flux", "translated_standalone_title": "Flux in 3-D and constructing unit normal vectors to surface", "translated_title": "Flux in 3D and constructing unit normal vectors to surface", "gplus_url": "", "id": "x9106372b", "old_key_name": "p0K2Rz4JZnec5hX007ZItcvpagVU_q1JUQL9vUSM", "hide": false, "title": "Flux in 3D and constructing unit normal vectors to surface", "child_data": [{"kind": "Video", "id": 815159721}, {"kind": "Video", "id": 815232513}, {"kind": "Video", "id": 815106014}], "children": [{"translated_youtube_id": "ivg3dLTarbs", "relative_url": "/video/conceputal-understanding-of-flux-in-three-dimensions", "has_questions": false, "keywords": "surface, integral, vector, calculus", "ka_url": "http://www.khanacademy.org/video/conceputal-understanding-of-flux-in-three-dimensions", "duration": 503, "translated_title": "Conceptual understanding of flux in three dimensions", "translated_description_html": "Conceptual understanding of flux across a two-dimensional surface", "id": "815159721", "description_html": "Conceptual understanding of flux across a two-dimensional surface", "title": "Conceptual understanding of flux in three dimensions", "progress_key": "v815159721", "edit_slug": "edit/v/815159721", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of flux across a two-dimensional surface", "extra_properties": null, "node_slug": "v/conceputal-understanding-of-flux-in-three-dimensions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-05-31T21:20:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ivg3dLTarbs.mp4/ivg3dLTarbs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ivg3dLTarbs.mp4/ivg3dLTarbs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ivg3dLTarbs.m3u8/ivg3dLTarbs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ivg3dLTarbs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815159721", "sha": "557f6e3a853ef87b829dbb0a7e1e165279121297", "translated_description": "Conceptual understanding of flux across a two-dimensional surface", "image_url": "https://img.youtube.com/vi/ivg3dLTarbs/hqdefault.jpg", "youtube_id": "ivg3dLTarbs", "content_kind": "Video", "readable_id": "conceputal-understanding-of-flux-in-three-dimensions"}, {"translated_youtube_id": "usH9VUi2-Xg", "relative_url": "/video/constructing-a-unit-normal-vector-to-a-surface", "has_questions": false, "keywords": "surface, integral", "ka_url": "http://www.khanacademy.org/video/constructing-a-unit-normal-vector-to-a-surface", "duration": 383, "translated_title": "Constructing a unit normal vector to a surface", "translated_description_html": "Deriving a unit normal vector from the surface parametrization", "id": "815232513", "description_html": "Deriving a unit normal vector from the surface parametrization", "title": "Constructing a unit normal vector to a surface", "progress_key": "v815232513", "edit_slug": "edit/v/815232513", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deriving a unit normal vector from the surface parametrization", "extra_properties": null, "node_slug": "v/constructing-a-unit-normal-vector-to-a-surface", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-05-31T21:21:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/usH9VUi2-Xg.mp4/usH9VUi2-Xg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/usH9VUi2-Xg.mp4/usH9VUi2-Xg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/usH9VUi2-Xg.m3u8/usH9VUi2-Xg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=usH9VUi2-Xg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815232513", "sha": "58d4586737d4460c21432138412fc2e58380f8d9", "translated_description": "Deriving a unit normal vector from the surface parametrization", "image_url": "https://img.youtube.com/vi/usH9VUi2-Xg/hqdefault.jpg", "youtube_id": "usH9VUi2-Xg", "content_kind": "Video", "readable_id": "constructing-a-unit-normal-vector-to-a-surface"}, {"translated_youtube_id": "NCwwfvPEVn8", "relative_url": "/video/vector-representation-of-a-surface-integral", "has_questions": false, "keywords": "surface, integral, flux", "ka_url": "http://www.khanacademy.org/video/vector-representation-of-a-surface-integral", "duration": 575, "translated_title": "Vector representation of a surface integral", "translated_description_html": "Different ways of representing a flux integral", "id": "815106014", "description_html": "Different ways of representing a flux integral", "title": "Vector representation of a surface integral", "progress_key": "v815106014", "edit_slug": "edit/v/815106014", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Different ways of representing a flux integral", "extra_properties": null, "node_slug": "v/vector-representation-of-a-surface-integral", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-05-31T21:21:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NCwwfvPEVn8.mp4/NCwwfvPEVn8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NCwwfvPEVn8.mp4/NCwwfvPEVn8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NCwwfvPEVn8.m3u8/NCwwfvPEVn8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NCwwfvPEVn8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v815106014", "sha": "abeb689a332e4603036ccaff3e5bb2c6d08cf986", "translated_description": "Different ways of representing a flux integral", "image_url": "https://img.youtube.com/vi/NCwwfvPEVn8/hqdefault.jpg", "youtube_id": "NCwwfvPEVn8", "content_kind": "Video", "readable_id": "vector-representation-of-a-surface-integral"}], "twitter_url": "", "translated_description": "Flux can be view as the rate at which \"stuff\" passes through a surface. Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes' theorem and the divergence theorem.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Flux can be view as the rate at which \"stuff\" passes through a surface. Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes' theorem and the divergence theorem.", "x_pos": 0.0, "node_slug": "3d_flux", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9106372b", "topic_page_url": "/math/calculus/multivariable-calculus/3d_flux", "extended_slug": "math/calculus/multivariable-calculus/3d_flux", "slug": "3d_flux", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "2b4bb5db816d16e922fbbc0e48a1f701fc685363", "standalone_title": "Flux in 3-D and constructing unit normal vectors to surface", "y_pos": 0.0, "current_revision_key": "2b4bb5db816d16e922fbbc0e48a1f701fc685363", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus/stokes_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus/stokes_theorem", "translated_standalone_title": "Stokes' theorem", "translated_title": "Stokes' theorem intuition and application", "gplus_url": "", "id": "x86156ed3", "old_key_name": "_zsBa82loYOGi1uyL7rkLuKEJQ0xJX3FxF04YJ5L", "hide": false, "title": "Stokes' theorem intuition and application", "child_data": [{"kind": "Video", "id": 873691665}, {"kind": "Video", "id": 873865593}, {"kind": "Video", "id": 873764943}, {"kind": "Video", "id": 874076304}, {"kind": "Video", "id": 878103964}, {"kind": "Video", "id": 878112005}, {"kind": "Video", "id": 878163443}, {"kind": "Video", "id": 878196180}, {"kind": "Video", "id": 878133910}, {"kind": "Video", "id": 1254589677}, {"kind": "Video", "id": 1254590705}], "children": [{"translated_youtube_id": "9iaYNaENVH4", "relative_url": "/video/stokes--theorem-intuition", "has_questions": false, "keywords": "calculus, vector, stokes, theorem", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-intuition", "duration": 732, "translated_title": "Stokes' theorem intuition", "translated_description_html": "Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary", "id": "873691665", "description_html": "Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary", "title": "Stokes' theorem intuition", "progress_key": "v873691665", "edit_slug": "edit/v/873691665", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary", "extra_properties": null, "node_slug": "v/stokes--theorem-intuition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-26T19:47:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9iaYNaENVH4.mp4/9iaYNaENVH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9iaYNaENVH4.mp4/9iaYNaENVH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9iaYNaENVH4.m3u8/9iaYNaENVH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9iaYNaENVH4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v873691665", "sha": "9131fa1d5d781cf12df37a93ba2fb2d926acee0c", "translated_description": "Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary", "image_url": "https://img.youtube.com/vi/9iaYNaENVH4/hqdefault.jpg", "youtube_id": "9iaYNaENVH4", "content_kind": "Video", "readable_id": "stokes--theorem-intuition"}, {"translated_youtube_id": "TPov_v9mLWc", "relative_url": "/video/green-s-and-stokes--theorem-relationship", "has_questions": false, "keywords": "vector, multivariable, calculus", "ka_url": "http://www.khanacademy.org/video/green-s-and-stokes--theorem-relationship", "duration": 415, "translated_title": "Green's and Stokes' theorem relationship", "translated_description_html": "Seeing that Green's Theorem is just a special case of Stokes' Theorem", "id": "873865593", "description_html": "Seeing that Green's Theorem is just a special case of Stokes' Theorem", "title": "Green's and Stokes' theorem relationship", "progress_key": "v873865593", "edit_slug": "edit/v/873865593", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing that Green's Theorem is just a special case of Stokes' Theorem", "extra_properties": null, "node_slug": "v/green-s-and-stokes--theorem-relationship", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-26T19:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TPov_v9mLWc.mp4/TPov_v9mLWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TPov_v9mLWc.mp4/TPov_v9mLWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TPov_v9mLWc.m3u8/TPov_v9mLWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TPov_v9mLWc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v873865593", "sha": "3a3e08c0dc3360597803cbc298301ef9341e67d4", "translated_description": "Seeing that Green's Theorem is just a special case of Stokes' Theorem", "image_url": "https://img.youtube.com/vi/TPov_v9mLWc/hqdefault.jpg", "youtube_id": "TPov_v9mLWc", "content_kind": "Video", "readable_id": "green-s-and-stokes--theorem-relationship"}, {"translated_youtube_id": "84NkvxfMPtM", "relative_url": "/video/orienting-boundary-with-surface", "has_questions": false, "keywords": "stokes, theorem, orientation", "ka_url": "http://www.khanacademy.org/video/orienting-boundary-with-surface", "duration": 209, "translated_title": "Orienting boundary with surface", "translated_description_html": "Determining the proper orientation of the boundary given the orientation of the surface", "id": "873764943", "description_html": "Determining the proper orientation of the boundary given the orientation of the surface", "title": "Orienting boundary with surface", "progress_key": "v873764943", "edit_slug": "edit/v/873764943", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Determining the proper orientation of the boundary given the orientation of the surface", "extra_properties": null, "node_slug": "v/orienting-boundary-with-surface", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-26T19:52:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.mp4/84NkvxfMPtM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.mp4/84NkvxfMPtM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.m3u8/84NkvxfMPtM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=84NkvxfMPtM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v873764943", "sha": "652e1392e6fccde879e2944bfcd8100b6a8cea59", "translated_description": "Determining the proper orientation of the boundary given the orientation of the surface", "image_url": "https://img.youtube.com/vi/84NkvxfMPtM/hqdefault.jpg", "youtube_id": "84NkvxfMPtM", "content_kind": "Video", "readable_id": "orienting-boundary-with-surface"}, {"translated_youtube_id": "U6U4HhR3Fqc", "relative_url": "/video/orientation-and-stokes", "has_questions": false, "keywords": "stokes, theorem", "ka_url": "http://www.khanacademy.org/video/orientation-and-stokes", "duration": 266, "translated_title": "Orientation and stokes", "translated_description_html": "Determining the proper orientation of a boundary given the orientation of the normal vector", "id": "874076304", "description_html": "Determining the proper orientation of a boundary given the orientation of the normal vector", "title": "Orientation and stokes", "progress_key": "v874076304", "edit_slug": "edit/v/874076304", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the proper orientation of a boundary given the orientation of the normal vector", "extra_properties": null, "node_slug": "v/orientation-and-stokes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-26T21:24:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U6U4HhR3Fqc.mp4/U6U4HhR3Fqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U6U4HhR3Fqc.mp4/U6U4HhR3Fqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U6U4HhR3Fqc.m3u8/U6U4HhR3Fqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U6U4HhR3Fqc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v874076304", "sha": "ce66d62c16f614ccfee57e45403f70ceb909a260", "translated_description": "Determining the proper orientation of a boundary given the orientation of the normal vector", "image_url": "https://img.youtube.com/vi/U6U4HhR3Fqc/hqdefault.jpg", "youtube_id": "U6U4HhR3Fqc", "content_kind": "Video", "readable_id": "orientation-and-stokes"}, {"translated_youtube_id": "yDB-191sa2M", "relative_url": "/video/conditions-for-stokes-theorem", "has_questions": false, "keywords": "stokes, theorem", "ka_url": "http://www.khanacademy.org/video/conditions-for-stokes-theorem", "duration": 284, "translated_title": "Conditions for stokes theorem", "translated_description_html": "Understanding when you can use Stokes. Piecewise-smooth lines and surfaces", "id": "878103964", "description_html": "Understanding when you can use Stokes. Piecewise-smooth lines and surfaces", "title": "Conditions for stokes theorem", "progress_key": "v878103964", "edit_slug": "edit/v/878103964", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding when you can use Stokes. Piecewise-smooth lines and surfaces", "extra_properties": null, "node_slug": "v/conditions-for-stokes-theorem", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-06-29T00:56:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yDB-191sa2M.mp4/yDB-191sa2M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yDB-191sa2M.mp4/yDB-191sa2M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yDB-191sa2M.m3u8/yDB-191sa2M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yDB-191sa2M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878103964", "sha": "2edbaa4297e4fe60f0dea6501e081bebaab67052", "translated_description": "Understanding when you can use Stokes. Piecewise-smooth lines and surfaces", "image_url": "https://img.youtube.com/vi/yDB-191sa2M/hqdefault.jpg", "youtube_id": "yDB-191sa2M", "content_kind": "Video", "readable_id": "conditions-for-stokes-theorem"}, {"translated_youtube_id": "E2MRMdaPKcc", "relative_url": "/video/stokes-example-part-1", "has_questions": false, "keywords": "stokes, theorem, vector, calculus", "ka_url": "http://www.khanacademy.org/video/stokes-example-part-1", "duration": 190, "translated_title": "Stokes example part 1", "translated_description_html": "Starting to apply Stokes theorem to solve a line integral", "id": "878112005", "description_html": "Starting to apply Stokes theorem to solve a line integral", "title": "Stokes example part 1", "progress_key": "v878112005", "edit_slug": "edit/v/878112005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Starting to apply Stokes theorem to solve a line integral", "extra_properties": null, "node_slug": "v/stokes-example-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-06-29T00:56:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E2MRMdaPKcc.mp4/E2MRMdaPKcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E2MRMdaPKcc.mp4/E2MRMdaPKcc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E2MRMdaPKcc.m3u8/E2MRMdaPKcc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E2MRMdaPKcc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878112005", "sha": "f8e60ac3c70ed34d39d31c0c539ce6759162f30e", "translated_description": "Starting to apply Stokes theorem to solve a line integral", "image_url": "https://img.youtube.com/vi/E2MRMdaPKcc/hqdefault.jpg", "youtube_id": "E2MRMdaPKcc", "content_kind": "Video", "readable_id": "stokes-example-part-1"}, {"translated_youtube_id": "9bwy85M1Zxg", "relative_url": "/video/part-2---parameterizing-the-surface", "has_questions": false, "keywords": "Part, 2, Parameterizing, the, Surface", "ka_url": "http://www.khanacademy.org/video/part-2---parameterizing-the-surface", "duration": 242, "translated_title": "Stokes example part 2: Parameterizing the surface", "translated_description_html": "", "id": "878163443", "description_html": "", "title": "Stokes example part 2: Parameterizing the surface", "progress_key": "v878163443", "edit_slug": "edit/v/878163443", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/part-2---parameterizing-the-surface", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-29T00:59:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9bwy85M1Zxg.mp4/9bwy85M1Zxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9bwy85M1Zxg.mp4/9bwy85M1Zxg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9bwy85M1Zxg.m3u8/9bwy85M1Zxg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9bwy85M1Zxg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878163443", "sha": "81cc04cb0e8964c72e4909448edeebc568510341", "translated_description": "", "image_url": "https://img.youtube.com/vi/9bwy85M1Zxg/hqdefault.jpg", "youtube_id": "9bwy85M1Zxg", "content_kind": "Video", "readable_id": "part-2---parameterizing-the-surface"}, {"translated_youtube_id": "VPz4bCQDGgk", "relative_url": "/video/stokes-example-part-3---surface-to-double-integral", "has_questions": false, "keywords": "stokes, theorem, example", "ka_url": "http://www.khanacademy.org/video/stokes-example-part-3---surface-to-double-integral", "duration": 485, "translated_title": "Stokes example part 3: Surface to double integral", "translated_description_html": "Converting the surface integral to a double integral", "id": "878196180", "description_html": "Converting the surface integral to a double integral", "title": "Stokes example part 3: Surface to double integral", "progress_key": "v878196180", "edit_slug": "edit/v/878196180", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Converting the surface integral to a double integral", "extra_properties": null, "node_slug": "v/stokes-example-part-3---surface-to-double-integral", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-29T01:00:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VPz4bCQDGgk.mp4/VPz4bCQDGgk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VPz4bCQDGgk.mp4/VPz4bCQDGgk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VPz4bCQDGgk.m3u8/VPz4bCQDGgk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VPz4bCQDGgk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878196180", "sha": "e1aabf9616dfc6fc4854364ca3a4802ad8d6b71f", "translated_description": "Converting the surface integral to a double integral", "image_url": "https://img.youtube.com/vi/VPz4bCQDGgk/hqdefault.jpg", "youtube_id": "VPz4bCQDGgk", "content_kind": "Video", "readable_id": "stokes-example-part-3---surface-to-double-integral"}, {"translated_youtube_id": "clL2jLXtX4I", "relative_url": "/video/stokes-example-part-4---curl-and-final-answer", "has_questions": false, "keywords": "stokes', theorem, vector, calculus", "ka_url": "http://www.khanacademy.org/video/stokes-example-part-4---curl-and-final-answer", "duration": 414, "translated_title": "Stokes example part 4: Curl and final answer", "translated_description_html": "Finding the curl of the vector field and then evaluating the double integral in the parameter domain", "id": "878133910", "description_html": "Finding the curl of the vector field and then evaluating the double integral in the parameter domain", "title": "Stokes example part 4: Curl and final answer", "progress_key": "v878133910", "edit_slug": "edit/v/878133910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Finding the curl of the vector field and then evaluating the double integral in the parameter domain", "extra_properties": null, "node_slug": "v/stokes-example-part-4---curl-and-final-answer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-29T01:01:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/clL2jLXtX4I.mp4/clL2jLXtX4I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/clL2jLXtX4I.mp4/clL2jLXtX4I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/clL2jLXtX4I.m3u8/clL2jLXtX4I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=clL2jLXtX4I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878133910", "sha": "d93d47bef31e8433084f5fded5cef82fa544c326", "translated_description": "Finding the curl of the vector field and then evaluating the double integral in the parameter domain", "image_url": "https://img.youtube.com/vi/clL2jLXtX4I/hqdefault.jpg", "youtube_id": "clL2jLXtX4I", "content_kind": "Video", "readable_id": "stokes-example-part-4---curl-and-final-answer"}, {"translated_youtube_id": "A57_63yP1UU", "relative_url": "/video/evaluating-line-integral-directly---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-line-integral-directly---part-1", "duration": 464, "translated_title": "Evaluating line integral directly - part 1", "translated_description_html": "Showing that we didn't need to use Stokes' Theorem to evaluate this line integral", "id": "1254589677", "description_html": "Showing that we didn't need to use Stokes' Theorem to evaluate this line integral", "title": "Evaluating line integral directly - part 1", "progress_key": "v1254589677", "edit_slug": "edit/v/1254589677", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that we didn't need to use Stokes' Theorem to evaluate this line integral", "extra_properties": null, "node_slug": "v/evaluating-line-integral-directly---part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:37:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A57_63yP1UU.mp4/A57_63yP1UU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A57_63yP1UU.mp4/A57_63yP1UU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A57_63yP1UU.m3u8/A57_63yP1UU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A57_63yP1UU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254589677", "sha": "3bf94f3a436f42046a478f660eb12db28cfefdcf", "translated_description": "Showing that we didn't need to use Stokes' Theorem to evaluate this line integral", "image_url": "https://img.youtube.com/vi/A57_63yP1UU/hqdefault.jpg", "youtube_id": "A57_63yP1UU", "content_kind": "Video", "readable_id": "evaluating-line-integral-directly---part-1"}, {"translated_youtube_id": "Jhu1M53AF0E", "relative_url": "/video/evaluating-line-integral-directly---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evaluating-line-integral-directly---part-2", "duration": 383, "translated_title": "Evaluating line integral directly - part 2", "translated_description_html": "Finishing up the line integral with a little trigonometric integration", "id": "1254590705", "description_html": "Finishing up the line integral with a little trigonometric integration", "title": "Evaluating line integral directly - part 2", "progress_key": "v1254590705", "edit_slug": "edit/v/1254590705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finishing up the line integral with a little trigonometric integration", "extra_properties": null, "node_slug": "v/evaluating-line-integral-directly---part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:38:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jhu1M53AF0E.mp4/Jhu1M53AF0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jhu1M53AF0E.mp4/Jhu1M53AF0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jhu1M53AF0E.m3u8/Jhu1M53AF0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jhu1M53AF0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254590705", "sha": "f1cea46c82cf839dc21b2c51e9e46b8114c42e03", "translated_description": "Finishing up the line integral with a little trigonometric integration", "image_url": "https://img.youtube.com/vi/Jhu1M53AF0E/hqdefault.jpg", "youtube_id": "Jhu1M53AF0E", "content_kind": "Video", "readable_id": "evaluating-line-integral-directly---part-2"}], "twitter_url": "", "translated_description": "Stokes' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes' theorem, how it is an extension of Green's theorem to surfaces (as opposed to just regions) and gives some examples using it. We prove Stokes' theorem in another tutorial. Good to come to this tutorial having experienced the tutorial on \"flux in 3D\".", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Stokes' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes' theorem, how it is an extension of Green's theorem to surfaces (as opposed to just regions) and gives some examples using it. We prove Stokes' theorem in another tutorial. Good to come to this tutorial having experienced the tutorial on \"flux in 3D\".", "x_pos": 0.0, "node_slug": "stokes_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax86156ed3", "topic_page_url": "/math/calculus/multivariable-calculus/stokes_theorem", "extended_slug": "math/calculus/multivariable-calculus/stokes_theorem", "slug": "stokes_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e2903f5a7f75a299fa212cae3d8b121967f7c83b", "standalone_title": "Stokes' theorem", "y_pos": 0.0, "current_revision_key": "e2903f5a7f75a299fa212cae3d8b121967f7c83b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/multivariable-calculus/stokes_proof", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/multivariable-calculus/stokes_proof", "translated_standalone_title": "Proof of Stokes' theorem", "translated_title": "Proof of Stokes' theorem", "gplus_url": "", "id": "x82104bac", "old_key_name": "7hAGtaFDoO7PGGpS7CJKWrVrnlLOoJrz5xWk-X0x", "hide": false, "title": "Proof of Stokes' theorem", "child_data": [{"kind": "Video", "id": 1254599500}, {"kind": "Video", "id": 1254626652}, {"kind": "Video", "id": 1254632405}, {"kind": "Video", "id": 1254257997}, {"kind": "Video", "id": 1254588379}, {"kind": "Video", "id": 1254528847}, {"kind": "Video", "id": 1254530460}], "children": [{"translated_youtube_id": "qIBqvr5_QqQ", "relative_url": "/video/stokes--theorem-proof-part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-1", "duration": 314, "translated_title": "Stokes' theorem proof part 1", "translated_description_html": "The beginning of a proof of Stokes' theorem for a special class of surfaces. Finding the curl of our vector field.", "id": "1254599500", "description_html": "The beginning of a proof of Stokes' theorem for a special class of surfaces. Finding the curl of our vector field.", "title": "Stokes' theorem proof part 1", "progress_key": "v1254599500", "edit_slug": "edit/v/1254599500", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The beginning of a proof of Stokes' theorem for a special class of surfaces. Finding the curl of our vector field.", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:20:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.mp4/qIBqvr5_QqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.mp4/qIBqvr5_QqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.m3u8/qIBqvr5_QqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qIBqvr5_QqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254599500", "sha": "c92432262f944295bd6890b5d0c5bd7676341696", "translated_description": "The beginning of a proof of Stokes' theorem for a special class of surfaces. Finding the curl of our vector field.", "image_url": "https://img.youtube.com/vi/qIBqvr5_QqQ/hqdefault.jpg", "youtube_id": "qIBqvr5_QqQ", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-1"}, {"translated_youtube_id": "apWQoMKVmW4", "relative_url": "/video/stokes--theorem-proof-part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-2", "duration": 459, "translated_title": "Stokes' theorem proof part 2", "translated_description_html": "Figuring out a parameterization of our surface and representing dS", "id": "1254626652", "description_html": "Figuring out a parameterization of our surface and representing dS", "title": "Stokes' theorem proof part 2", "progress_key": "v1254626652", "edit_slug": "edit/v/1254626652", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out a parameterization of our surface and representing dS", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:21:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/apWQoMKVmW4.mp4/apWQoMKVmW4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/apWQoMKVmW4.mp4/apWQoMKVmW4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/apWQoMKVmW4.m3u8/apWQoMKVmW4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=apWQoMKVmW4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254626652", "sha": "964df2e59d4740726e23fd4640e23054e14e6d21", "translated_description": "Figuring out a parameterization of our surface and representing dS", "image_url": "https://img.youtube.com/vi/apWQoMKVmW4/hqdefault.jpg", "youtube_id": "apWQoMKVmW4", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-2"}, {"translated_youtube_id": "4o4P7KrkzXg", "relative_url": "/video/stokes--theorem-proof-part-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-3", "duration": 251, "translated_title": "Stokes' theorem proof part 3", "translated_description_html": "Writing our surface integral as a double integral over the domain of our parameters", "id": "1254632405", "description_html": "Writing our surface integral as a double integral over the domain of our parameters", "title": "Stokes' theorem proof part 3", "progress_key": "v1254632405", "edit_slug": "edit/v/1254632405", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Writing our surface integral as a double integral over the domain of our parameters", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:22:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4o4P7KrkzXg.mp4/4o4P7KrkzXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4o4P7KrkzXg.mp4/4o4P7KrkzXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4o4P7KrkzXg.m3u8/4o4P7KrkzXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4o4P7KrkzXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254632405", "sha": "300d538f190ddc5004413b6b2ab4501220a3ceab", "translated_description": "Writing our surface integral as a double integral over the domain of our parameters", "image_url": "https://img.youtube.com/vi/4o4P7KrkzXg/hqdefault.jpg", "youtube_id": "4o4P7KrkzXg", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-3"}, {"translated_youtube_id": "1og25U-d3_8", "relative_url": "/video/stokes--theorem-proof-part-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-4", "duration": 439, "translated_title": "Stokes' theorem proof part 4", "translated_description_html": "Starting to work on the line integral about the surface", "id": "1254257997", "description_html": "Starting to work on the line integral about the surface", "title": "Stokes' theorem proof part 4", "progress_key": "v1254257997", "edit_slug": "edit/v/1254257997", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Starting to work on the line integral about the surface", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:22:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1og25U-d3_8.mp4/1og25U-d3_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1og25U-d3_8.mp4/1og25U-d3_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1og25U-d3_8.m3u8/1og25U-d3_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1og25U-d3_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254257997", "sha": "2510600ac85769dd88cad7b8020907d3037d36c8", "translated_description": "Starting to work on the line integral about the surface", "image_url": "https://img.youtube.com/vi/1og25U-d3_8/hqdefault.jpg", "youtube_id": "1og25U-d3_8", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-4"}, {"translated_youtube_id": "a29qZSRDBdE", "relative_url": "/video/stokes--theorem-proof-part-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-5", "duration": 328, "translated_title": "Stokes' theorem proof part 5", "translated_description_html": "Working on the integrals...", "id": "1254588379", "description_html": "Working on the integrals...", "title": "Stokes' theorem proof part 5", "progress_key": "v1254588379", "edit_slug": "edit/v/1254588379", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working on the integrals...", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:23:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a29qZSRDBdE.mp4/a29qZSRDBdE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a29qZSRDBdE.mp4/a29qZSRDBdE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a29qZSRDBdE.m3u8/a29qZSRDBdE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a29qZSRDBdE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254588379", "sha": "ff9e3c1f6997a1794c3eb09016a75bb80cac6148", "translated_description": "Working on the integrals...", "image_url": "https://img.youtube.com/vi/a29qZSRDBdE/hqdefault.jpg", "youtube_id": "a29qZSRDBdE", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-5"}, {"translated_youtube_id": "02gVmoObrjM", "relative_url": "/video/stokes--theorem-proof-part-6", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-6", "duration": 327, "translated_title": "Stokes' theorem proof part 6", "translated_description_html": "More manipulating the integrals...", "id": "1254528847", "description_html": "More manipulating the integrals...", "title": "Stokes' theorem proof part 6", "progress_key": "v1254528847", "edit_slug": "edit/v/1254528847", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More manipulating the integrals...", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-6", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:23:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/02gVmoObrjM.mp4/02gVmoObrjM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/02gVmoObrjM.mp4/02gVmoObrjM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/02gVmoObrjM.m3u8/02gVmoObrjM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=02gVmoObrjM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254528847", "sha": "90007d0b5ffdb2b8629e65d62c83f466bae01fb4", "translated_description": "More manipulating the integrals...", "image_url": "https://img.youtube.com/vi/02gVmoObrjM/hqdefault.jpg", "youtube_id": "02gVmoObrjM", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-6"}, {"translated_youtube_id": "YT6XwkcPcsw", "relative_url": "/video/stokes--theorem-proof-part-7", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stokes--theorem-proof-part-7", "duration": 709, "translated_title": "Stokes' theorem proof part 7", "translated_description_html": "Using Green's Theorem to complete the proof", "id": "1254530460", "description_html": "Using Green's Theorem to complete the proof", "title": "Stokes' theorem proof part 7", "progress_key": "v1254530460", "edit_slug": "edit/v/1254530460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using Green's Theorem to complete the proof", "extra_properties": null, "node_slug": "v/stokes--theorem-proof-part-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:24:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YT6XwkcPcsw.mp4/YT6XwkcPcsw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YT6XwkcPcsw.mp4/YT6XwkcPcsw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YT6XwkcPcsw.m3u8/YT6XwkcPcsw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YT6XwkcPcsw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254530460", "sha": "395ec95c6dd35e69255efe4bc3481943bbaa8f53", "translated_description": "Using Green's Theorem to complete the proof", "image_url": "https://img.youtube.com/vi/YT6XwkcPcsw/hqdefault.jpg", "youtube_id": "YT6XwkcPcsw", "content_kind": "Video", "readable_id": "stokes--theorem-proof-part-7"}], "twitter_url": "", "translated_description": "You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!", "x_pos": 0.0, "node_slug": "stokes_proof", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax82104bac", "topic_page_url": "/math/calculus/multivariable-calculus/stokes_proof", "extended_slug": "math/calculus/multivariable-calculus/stokes_proof", "slug": "stokes_proof", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4e36a4c2767a2fde15e45b928e5d9226905c7046", "standalone_title": "Proof of Stokes' theorem", "y_pos": 0.0, "current_revision_key": "4e36a4c2767a2fde15e45b928e5d9226905c7046", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Parameterizing a surface. Surface integrals. Stokes' theorem.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Parameterizing a surface. Surface integrals. Stokes' theorem.", "x_pos": 0.0, "node_slug": "multivariable-calculus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa3642b9a", "topic_page_url": "/math/calculus/multivariable-calculus", "extended_slug": "math/calculus/multivariable-calculus", "slug": "multivariable-calculus", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ab02863ebeb49a8180f2989ca8fa77dd9c1a69d6", "standalone_title": "Surface integrals and Stokes' theorem", "y_pos": 0.0, "current_revision_key": "ab02863ebeb49a8180f2989ca8fa77dd9c1a69d6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/divergence_theorem_topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/divergence_theorem_topic", "translated_standalone_title": "Divergence theorem", "translated_title": "Divergence theorem", "gplus_url": "", "id": "x4231f1f9", "old_key_name": "kNtWfcrDZPpTQLhQMe178UIQlUYXJV8yy2MtUpMl", "hide": false, "title": "Divergence theorem", "child_data": [{"kind": "Topic", "id": "x68dc1d26"}, {"kind": "Topic", "id": "xa32c40bb"}, {"kind": "Topic", "id": "x926d8113"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/divergence_theorem_topic/divergence_theorem", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/divergence_theorem_topic/divergence_theorem", "translated_standalone_title": "Divergence theorem (3D)", "translated_title": "Divergence theorem (3D)", "gplus_url": "", "id": "x68dc1d26", "old_key_name": "ccPrkL9faAnm0y_l1fV5gceJpzEVdCh4kUR3bANN", "hide": false, "title": "Divergence theorem (3D)", "child_data": [{"kind": "Video", "id": 1254611464}, {"kind": "Video", "id": 1254640190}, {"kind": "Video", "id": 1254539389}], "children": [{"translated_youtube_id": "XyiQ2dwJHXE", "relative_url": "/video/3-d-divergence-theorem-intuition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-d-divergence-theorem-intuition", "duration": 554, "translated_title": "3D divergence theorem intuition", "translated_description_html": "Intuition behind the Divergence Theorem in three dimensions", "id": "1254611464", "description_html": "Intuition behind the Divergence Theorem in three dimensions", "title": "3D divergence theorem intuition", "progress_key": "v1254611464", "edit_slug": "edit/v/1254611464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind the Divergence Theorem in three dimensions", "extra_properties": null, "node_slug": "v/3-d-divergence-theorem-intuition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T00:43:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.mp4/XyiQ2dwJHXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.mp4/XyiQ2dwJHXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.m3u8/XyiQ2dwJHXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XyiQ2dwJHXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254611464", "sha": "47b4f740aafa2d578ee7c46c3a3dd9c06db90ddc", "translated_description": "Intuition behind the Divergence Theorem in three dimensions", "image_url": "https://img.youtube.com/vi/XyiQ2dwJHXE/hqdefault.jpg", "youtube_id": "XyiQ2dwJHXE", "content_kind": "Video", "readable_id": "3-d-divergence-theorem-intuition"}, {"translated_youtube_id": "asyIsn59Lnc", "relative_url": "/video/divergence-theorem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-example-1", "duration": 645, "translated_title": "Divergence theorem example 1", "translated_description_html": "Example of calculating the flux across a surface by using the Divergence Theorem", "id": "1254640190", "description_html": "Example of calculating the flux across a surface by using the Divergence Theorem", "title": "Divergence theorem example 1", "progress_key": "v1254640190", "edit_slug": "edit/v/1254640190", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Example of calculating the flux across a surface by using the Divergence Theorem", "extra_properties": {"original_url": ""}, "node_slug": "v/divergence-theorem-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T00:43:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/asyIsn59Lnc.mp4/asyIsn59Lnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/asyIsn59Lnc.mp4/asyIsn59Lnc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/asyIsn59Lnc.m3u8/asyIsn59Lnc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=asyIsn59Lnc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1254640190", "sha": "5a155fc23c28acdb39e058503eb7826b274fc311", "translated_description": "Example of calculating the flux across a surface by using the Divergence Theorem", "image_url": "https://img.youtube.com/vi/asyIsn59Lnc/hqdefault.jpg", "youtube_id": "asyIsn59Lnc", "content_kind": "Video", "readable_id": "divergence-theorem-example-1"}, {"translated_youtube_id": "iFpyKTuC7jY", "relative_url": "/video/why-we-got-zero-flux-in-divergence-theorem-example-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-we-got-zero-flux-in-divergence-theorem-example-1", "duration": 214, "translated_title": "Why we got zero flux in divergence theorem example 1", "translated_description_html": "Intuition as to why we go no net flux in the last worked example", "id": "1254539389", "description_html": "Intuition as to why we go no net flux in the last worked example", "title": "Why we got zero flux in divergence theorem example 1", "progress_key": "v1254539389", "edit_slug": "edit/v/1254539389", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Intuition as to why we go no net flux in the last worked example", "extra_properties": null, "node_slug": "v/why-we-got-zero-flux-in-divergence-theorem-example-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-29T00:44:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iFpyKTuC7jY.mp4/iFpyKTuC7jY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iFpyKTuC7jY.mp4/iFpyKTuC7jY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iFpyKTuC7jY.m3u8/iFpyKTuC7jY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iFpyKTuC7jY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254539389", "sha": "1494799a7e58b582536a5548ed1fe2a0f6fc096b", "translated_description": "Intuition as to why we go no net flux in the last worked example", "image_url": "https://img.youtube.com/vi/iFpyKTuC7jY/hqdefault.jpg", "youtube_id": "iFpyKTuC7jY", "content_kind": "Video", "readable_id": "why-we-got-zero-flux-in-divergence-theorem-example-1"}], "twitter_url": "", "translated_description": "An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the \"divergence theorem\"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the \"divergence theorem\"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.", "x_pos": 0.0, "node_slug": "divergence_theorem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68dc1d26", "topic_page_url": "/math/calculus/divergence_theorem_topic/divergence_theorem", "extended_slug": "math/calculus/divergence_theorem_topic/divergence_theorem", "slug": "divergence_theorem", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "190233a0147b494511557b6940da1dc723735f95", "standalone_title": "Divergence theorem (3D)", "y_pos": 0.0, "current_revision_key": "190233a0147b494511557b6940da1dc723735f95", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/divergence_theorem_topic/region_types_3d", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/divergence_theorem_topic/region_types_3d", "translated_standalone_title": "Types of regions in three dimensions", "translated_title": "Types of regions in three dimensions", "gplus_url": "", "id": "xa32c40bb", "old_key_name": "H7NfW3cXspVGuoknpUe7ORPm2Byvsft2u4ThFhsW", "hide": false, "title": "Types of regions in three dimensions", "child_data": [{"kind": "Video", "id": 1254699123}, {"kind": "Video", "id": 1254469905}, {"kind": "Video", "id": 1254671407}], "children": [{"translated_youtube_id": "A11AfJ2-3rE", "relative_url": "/video/type-i-regions-in-three-dimensions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/type-i-regions-in-three-dimensions", "duration": 519, "translated_title": "Type I regions in three dimensions", "translated_description_html": "Definition of Type 1 regions. Visualizing what is and isn't a Type I region", "id": "1254699123", "description_html": "Definition of Type 1 regions. Visualizing what is and isn't a Type I region", "title": "Type I regions in three dimensions", "progress_key": "v1254699123", "edit_slug": "edit/v/1254699123", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Definition of Type 1 regions. Visualizing what is and isn't a Type I region", "extra_properties": null, "node_slug": "v/type-i-regions-in-three-dimensions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-29T00:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A11AfJ2-3rE.mp4/A11AfJ2-3rE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A11AfJ2-3rE.mp4/A11AfJ2-3rE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A11AfJ2-3rE.m3u8/A11AfJ2-3rE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A11AfJ2-3rE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254699123", "sha": "6d02f6b457b991e48ee481f39f87031354f0d550", "translated_description": "Definition of Type 1 regions. Visualizing what is and isn't a Type I region", "image_url": "https://img.youtube.com/vi/A11AfJ2-3rE/hqdefault.jpg", "youtube_id": "A11AfJ2-3rE", "content_kind": "Video", "readable_id": "type-i-regions-in-three-dimensions"}, {"translated_youtube_id": "pZ_2bATPi2I", "relative_url": "/video/type-ii-regions-in-three-dimensions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/type-ii-regions-in-three-dimensions", "duration": 449, "translated_title": "Type II regions in three dimensions", "translated_description_html": "Definition and intuition for Type 2 Regions", "id": "1254469905", "description_html": "Definition and intuition for Type 2 Regions", "title": "Type II regions in three dimensions", "progress_key": "v1254469905", "edit_slug": "edit/v/1254469905", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Definition and intuition for Type 2 Regions", "extra_properties": null, "node_slug": "v/type-ii-regions-in-three-dimensions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:46:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.mp4/pZ_2bATPi2I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.mp4/pZ_2bATPi2I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.m3u8/pZ_2bATPi2I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pZ_2bATPi2I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254469905", "sha": "deb9aa08eaaf7416ead38ffd83ebc97e267b0364", "translated_description": "Definition and intuition for Type 2 Regions", "image_url": "https://img.youtube.com/vi/pZ_2bATPi2I/hqdefault.jpg", "youtube_id": "pZ_2bATPi2I", "content_kind": "Video", "readable_id": "type-ii-regions-in-three-dimensions"}, {"translated_youtube_id": "bxGnbVOtRYo", "relative_url": "/video/type-iii-regions-in-three-dimensions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/type-iii-regions-in-three-dimensions", "duration": 393, "translated_title": "Type III regions in three dimensions", "translated_description_html": "Definition and intuition for type 3 regions", "id": "1254671407", "description_html": "Definition and intuition for type 3 regions", "title": "Type III regions in three dimensions", "progress_key": "v1254671407", "edit_slug": "edit/v/1254671407", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Definition and intuition for type 3 regions", "extra_properties": null, "node_slug": "v/type-iii-regions-in-three-dimensions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T00:47:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bxGnbVOtRYo.mp4/bxGnbVOtRYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bxGnbVOtRYo.mp4/bxGnbVOtRYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bxGnbVOtRYo.m3u8/bxGnbVOtRYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bxGnbVOtRYo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254671407", "sha": "312930699f2e0fd8d8955590a56248309bdd907c", "translated_description": "Definition and intuition for type 3 regions", "image_url": "https://img.youtube.com/vi/bxGnbVOtRYo/hqdefault.jpg", "youtube_id": "bxGnbVOtRYo", "content_kind": "Video", "readable_id": "type-iii-regions-in-three-dimensions"}], "twitter_url": "", "translated_description": "This tutorial classifies regions in three dimensions. Comes in useful for some types of double integrals and we use these ideas to prove the divergence theorem.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial classifies regions in three dimensions. Comes in useful for some types of double integrals and we use these ideas to prove the divergence theorem.", "x_pos": 0.0, "node_slug": "region_types_3d", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa32c40bb", "topic_page_url": "/math/calculus/divergence_theorem_topic/region_types_3d", "extended_slug": "math/calculus/divergence_theorem_topic/region_types_3d", "slug": "region_types_3d", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e37cc986f5f8f51ab41df318fbcff2b846935aea", "standalone_title": "Types of regions in three dimensions", "y_pos": 0.0, "current_revision_key": "e37cc986f5f8f51ab41df318fbcff2b846935aea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof", "web_url": "", "ka_url": "http://www.khanacademy.org/math/calculus/divergence_theorem_topic/divergence_theorem_proof", "translated_standalone_title": "Divergence theorem proof", "translated_title": "Divergence theorem proof", "gplus_url": "", "id": "x926d8113", "old_key_name": "tuayNk7xJHA15noyHSHZYjTNftvqWYQTX-oZXC9V", "hide": false, "title": "Divergence theorem proof", "child_data": [{"kind": "Video", "id": 1254638405}, {"kind": "Video", "id": 1254358889}, {"kind": "Video", "id": 1254688165}, {"kind": "Video", "id": 1254709098}, {"kind": "Video", "id": 1254605394}], "children": [{"translated_youtube_id": "vCAFlt4pQSQ", "relative_url": "/video/divergence-theorem-proof--part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-proof--part-1", "duration": 509, "translated_title": "Divergence theorem proof (part 1)", "translated_description_html": "Setting up the proof for the divergence theorem", "id": "1254638405", "description_html": "Setting up the proof for the divergence theorem", "title": "Divergence theorem proof (part 1)", "progress_key": "v1254638405", "edit_slug": "edit/v/1254638405", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Setting up the proof for the divergence theorem", "extra_properties": null, "node_slug": "v/divergence-theorem-proof--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T00:49:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.mp4/vCAFlt4pQSQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.mp4/vCAFlt4pQSQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.m3u8/vCAFlt4pQSQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vCAFlt4pQSQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254638405", "sha": "f2489b07967b58e6a4d4cf1ee3bc7dfd652b2c47", "translated_description": "Setting up the proof for the divergence theorem", "image_url": "https://img.youtube.com/vi/vCAFlt4pQSQ/hqdefault.jpg", "youtube_id": "vCAFlt4pQSQ", "content_kind": "Video", "readable_id": "divergence-theorem-proof--part-1"}, {"translated_youtube_id": "OM3e-J3euXo", "relative_url": "/video/divergence-theorem-proof--part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-proof--part-2", "duration": 450, "translated_title": "Divergence theorem proof (part 2)", "translated_description_html": "Breaking up the surface integral", "id": "1254358889", "description_html": "Breaking up the surface integral", "title": "Divergence theorem proof (part 2)", "progress_key": "v1254358889", "edit_slug": "edit/v/1254358889", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Breaking up the surface integral", "extra_properties": null, "node_slug": "v/divergence-theorem-proof--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T00:49:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.mp4/OM3e-J3euXo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.mp4/OM3e-J3euXo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.m3u8/OM3e-J3euXo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OM3e-J3euXo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254358889", "sha": "640ed2bbb2b0ece47b03ad7c8e24e2139337fc7c", "translated_description": "Breaking up the surface integral", "image_url": "https://img.youtube.com/vi/OM3e-J3euXo/hqdefault.jpg", "youtube_id": "OM3e-J3euXo", "content_kind": "Video", "readable_id": "divergence-theorem-proof--part-2"}, {"translated_youtube_id": "3_W6bGuTfzU", "relative_url": "/video/divergence-theorem-proof--part-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-proof--part-3", "duration": 381, "translated_title": "Divergence theorem proof (part 3)", "translated_description_html": "Evaluating the surface integral", "id": "1254688165", "description_html": "Evaluating the surface integral", "title": "Divergence theorem proof (part 3)", "progress_key": "v1254688165", "edit_slug": "edit/v/1254688165", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Evaluating the surface integral", "extra_properties": null, "node_slug": "v/divergence-theorem-proof--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-29T00:50:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.mp4/3_W6bGuTfzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.mp4/3_W6bGuTfzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.m3u8/3_W6bGuTfzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_W6bGuTfzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254688165", "sha": "679bfbe25b381854d6c0fc6f7342deac6d7e9ea5", "translated_description": "Evaluating the surface integral", "image_url": "https://img.youtube.com/vi/3_W6bGuTfzU/hqdefault.jpg", "youtube_id": "3_W6bGuTfzU", "content_kind": "Video", "readable_id": "divergence-theorem-proof--part-3"}, {"translated_youtube_id": "lUD7ti47IQc", "relative_url": "/video/divergence-theorem-proof--part-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-proof--part-4", "duration": 489, "translated_title": "Divergence theorem proof (part 4)", "translated_description_html": "More evaluation of the surface integral", "id": "1254709098", "description_html": "More evaluation of the surface integral", "title": "Divergence theorem proof (part 4)", "progress_key": "v1254709098", "edit_slug": "edit/v/1254709098", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More evaluation of the surface integral", "extra_properties": null, "node_slug": "v/divergence-theorem-proof--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-29T00:52:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lUD7ti47IQc.mp4/lUD7ti47IQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lUD7ti47IQc.mp4/lUD7ti47IQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lUD7ti47IQc.m3u8/lUD7ti47IQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lUD7ti47IQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254709098", "sha": "c555cfea1896a7c1961b5dbcb7a997940eda0671", "translated_description": "More evaluation of the surface integral", "image_url": "https://img.youtube.com/vi/lUD7ti47IQc/hqdefault.jpg", "youtube_id": "lUD7ti47IQc", "content_kind": "Video", "readable_id": "divergence-theorem-proof--part-4"}, {"translated_youtube_id": "DrRsXhln4S8", "relative_url": "/video/divergence-theorem-proof--part-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/divergence-theorem-proof--part-5", "duration": 192, "translated_title": "Divergence theorem proof (part 5)", "translated_description_html": "Home stretch. Proving the Type I part", "id": "1254605394", "description_html": "Home stretch. Proving the Type I part", "title": "Divergence theorem proof (part 5)", "progress_key": "v1254605394", "edit_slug": "edit/v/1254605394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Home stretch. Proving the Type I part", "extra_properties": null, "node_slug": "v/divergence-theorem-proof--part-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-29T00:52:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.mp4/DrRsXhln4S8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.mp4/DrRsXhln4S8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.m3u8/DrRsXhln4S8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DrRsXhln4S8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254605394", "sha": "2db194132f03e1861901c6878d00660103de9f75", "translated_description": "Home stretch. Proving the Type I part", "image_url": "https://img.youtube.com/vi/DrRsXhln4S8/hqdefault.jpg", "youtube_id": "DrRsXhln4S8", "content_kind": "Video", "readable_id": "divergence-theorem-proof--part-5"}], "twitter_url": "", "translated_description": "You know what the divergence theorem is, you can apply it and you conceptually understand it. This tutorial will actually prove it to you (references types of regions which are covered in the \"types of regions in 3d\" tutorial.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what the divergence theorem is, you can apply it and you conceptually understand it. This tutorial will actually prove it to you (references types of regions which are covered in the \"types of regions in 3d\" tutorial.", "x_pos": 0.0, "node_slug": "divergence_theorem_proof", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax926d8113", "topic_page_url": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof", "extended_slug": "math/calculus/divergence_theorem_topic/divergence_theorem_proof", "slug": "divergence_theorem_proof", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0702a388e3cc215f101eab8c57fa8f7866262185", "standalone_title": "Divergence theorem proof", "y_pos": 0.0, "current_revision_key": "0702a388e3cc215f101eab8c57fa8f7866262185", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Divergence theorem intuition. Divergence theorem examples and proofs. Types of regions in 3D.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Divergence theorem intuition. Divergence theorem examples and proofs. Types of regions in 3D.", "x_pos": 0.0, "node_slug": "divergence_theorem_topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4231f1f9", "topic_page_url": "/math/calculus/divergence_theorem_topic", "extended_slug": "math/calculus/divergence_theorem_topic", "slug": "divergence_theorem_topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "705d35d325762e060db8589118f611147fddb941", "standalone_title": "Divergence theorem", "y_pos": 0.0, "current_revision_key": "705d35d325762e060db8589118f611147fddb941", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)", "x_pos": -25.0, "node_slug": "calculus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-19T03:03:12Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax786f2022", "topic_page_url": "/math/calculus", "extended_slug": "math/calculus", "slug": "calculus", "tags": ["calculus", "derivative", "integral", "math", "khan"], "kind": "Topic", "in_topic_browser": true, "sha": "381b2643db03f3bc13521fae92e6c4424209a4e5", "standalone_title": "Calculus", "y_pos": 58.0, "current_revision_key": "381b2643db03f3bc13521fae92e6c4424209a4e5", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/probability-40x40.png", "domain_slug": "math", "relative_url": "/math/probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability", "translated_standalone_title": "Probability and statistics", "translated_title": "Probability and statistics", "gplus_url": "", "id": "xa88397b6", "old_key_name": "XQlJ7xotRQg3QeW9VCiED2Jt7T7VmIkAoQP03zq9", "hide": false, "title": "Probability and statistics", "child_data": [{"kind": "Topic", "id": "xd573b830"}, {"kind": "Topic", "id": "x9966d42b"}, {"kind": "Topic", "id": "x99ac8b9e"}, {"kind": "Topic", "id": "x7c5c47ff"}, {"kind": "Topic", "id": "xea585073"}, {"kind": "Topic", "id": "x2a3773b2"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability", "translated_standalone_title": "Independent and dependent events", "translated_title": "Independent and dependent events", "gplus_url": "", "id": "xd573b830", "old_key_name": "tf9_KxxFyk3PZL_H-TI737zm9F79wgqa9CpUwM0z", "hide": false, "title": "Independent and dependent events", "child_data": [{"kind": "Topic", "id": "x5ff9185d"}, {"kind": "Topic", "id": "x6e9b65ff"}, {"kind": "Topic", "id": "x125a7186"}, {"kind": "Topic", "id": "x8894d776"}, {"kind": "Topic", "id": "xa85e1e09"}, {"kind": "Topic", "id": "xdea2f859"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/basic_probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability", "translated_standalone_title": "Basic probability", "translated_title": "Basic probability", "gplus_url": "", "id": "x5ff9185d", "old_key_name": "rBDVqYFoKjVo6g6ouBvHPlnDkpYkZUqREdxwV3Kk", "hide": false, "title": "Basic probability", "child_data": [{"kind": "Video", "id": 185786265}, {"kind": "Video", "id": "x523e34d6"}, {"kind": "Exercise", "id": 1337007129}, {"kind": "Video", "id": 380860447}, {"kind": "Video", "id": 60107867}, {"kind": "Video", "id": 27091}, {"kind": "Exercise", "id": 13179429}], "children": [{"translated_youtube_id": "uzkc-qNVoOk", "relative_url": "/video/basic-probability", "has_questions": false, "keywords": "math, chance, mutually, exclusive, events, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8", "ka_url": "http://www.khanacademy.org/video/basic-probability", "duration": 498, "translated_title": "Basic probability", "translated_description_html": "An introduction to probability", "id": "185786265", "description_html": "An introduction to probability", "title": "Basic probability", "progress_key": "v185786265", "edit_slug": "edit/v/185786265", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to probability", "extra_properties": null, "node_slug": "v/basic-probability", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-03T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.mp4/uzkc-qNVoOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uzkc-qNVoOk.m3u8/uzkc-qNVoOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uzkc-qNVoOk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185786265", "sha": "ad26e4eded21da3e805395a59308221cc806ca91", "translated_description": "An introduction to probability", "image_url": "https://img.youtube.com/vi/uzkc-qNVoOk/hqdefault.jpg", "youtube_id": "uzkc-qNVoOk", "content_kind": "Video", "readable_id": "basic-probability"}, {"translated_youtube_id": "FICRd7Lp67s", "relative_url": "/video/probability-space-exercise-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/probability-space-exercise-example", "duration": 259, "translated_title": "Probability space exercise example", "translated_description_html": "", "id": "x523e34d6", "description_html": "", "title": "Probability space exercise example", "progress_key": "vx523e34d6", "edit_slug": "edit/v/x523e34d6", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/probability-space-exercise-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-07T19:56:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.mp4/FICRd7Lp67s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.mp4/FICRd7Lp67s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FICRd7Lp67s.m3u8/FICRd7Lp67s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FICRd7Lp67s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx523e34d6", "sha": "2a6fe51e843b4c804cb56266e080258a639928a3", "translated_description": "", "image_url": "https://img.youtube.com/vi/FICRd7Lp67s/hqdefault.jpg", "youtube_id": "FICRd7Lp67s", "content_kind": "Video", "readable_id": "probability-space-exercise-example"}, {"translated_youtube_id": "yUaI0JriZtY", "relative_url": "/video/simple-probability", "has_questions": false, "keywords": "u08_l4_t1_we1, Simple, Probability", "ka_url": "http://www.khanacademy.org/video/simple-probability", "duration": 176, "translated_title": "Example: Marbles from a bag", "translated_description_html": "The probability of picking a yellow marble from a bag.", "id": "380860447", "description_html": "The probability of picking a yellow marble from a bag.", "title": "Example: Marbles from a bag", "progress_key": "v380860447", "edit_slug": "edit/v/380860447", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability of picking a yellow marble from a bag.", "extra_properties": null, "node_slug": "v/simple-probability", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.mp4/yUaI0JriZtY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yUaI0JriZtY.m3u8/yUaI0JriZtY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yUaI0JriZtY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860447", "sha": "7d574aab02614718a98f159a8280ac9556241544", "translated_description": "The probability of picking a yellow marble from a bag.", "image_url": "https://img.youtube.com/vi/yUaI0JriZtY/hqdefault.jpg", "youtube_id": "yUaI0JriZtY", "content_kind": "Video", "readable_id": "simple-probability"}, {"translated_youtube_id": "mLE-SlOZToc", "relative_url": "/video/probability-1-module-examples", "has_questions": false, "keywords": "probability, CC_7_SP_6, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/probability-1-module-examples", "duration": 596, "translated_title": "Example: Picking a non-blue marble", "translated_description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "id": "60107867", "description_html": "Example of figuring out the probability of picking a non-blue marble from a bag.", "title": "Example: Picking a non-blue marble", "progress_key": "v60107867", "edit_slug": "edit/v/60107867", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "extra_properties": null, "node_slug": "v/probability-1-module-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-14T00:00:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.mp4/mLE-SlOZToc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mLE-SlOZToc.m3u8/mLE-SlOZToc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mLE-SlOZToc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60107867", "sha": "fa67721adfd23b27cc290d3de8576f13a6eb793d", "translated_description": "Example of figuring out the probability of picking a non-blue marble from a bag.", "image_url": "https://img.youtube.com/vi/mLE-SlOZToc/hqdefault.jpg", "youtube_id": "mLE-SlOZToc", "content_kind": "Video", "readable_id": "probability-1-module-examples"}, {"translated_youtube_id": "cdRLBOnLTDk", "relative_url": "/video/events-and-outcomes-1", "has_questions": false, "keywords": "U12_L2_T1_we1, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-1", "duration": 131, "translated_title": "Example: Picking a yellow marble", "translated_description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "id": "27091", "description_html": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "title": "Example: Picking a yellow marble", "progress_key": "v27091", "edit_slug": "edit/v/27091", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "extra_properties": null, "node_slug": "v/events-and-outcomes-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.mp4/cdRLBOnLTDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cdRLBOnLTDk.m3u8/cdRLBOnLTDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cdRLBOnLTDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27091", "sha": "8fc2322ae8de2ba61c46b4d333d71f209f96912d", "translated_description": "Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.", "image_url": "https://img.youtube.com/vi/cdRLBOnLTDk/hqdefault.jpg", "youtube_id": "cdRLBOnLTDk", "content_kind": "Video", "readable_id": "events-and-outcomes-1"}], "twitter_url": "", "translated_description": "Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the \"chances\" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the \"chances\" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.", "x_pos": 0.0, "node_slug": "basic_probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-07T20:00:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ff9185d", "topic_page_url": "/math/probability/independent-dependent-probability/basic_probability", "extended_slug": "math/probability/independent-dependent-probability/basic_probability", "slug": "basic_probability", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "eb3033886689de52e460eb53994ec73a69fcd934", "standalone_title": "Basic probability", "y_pos": 0.0, "current_revision_key": "eb3033886689de52e460eb53994ec73a69fcd934", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/addition_rule_probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability", "translated_standalone_title": "Venn diagrams and adding probabilities", "translated_title": "Venn diagrams and adding probabilities", "gplus_url": "", "id": "x6e9b65ff", "old_key_name": "sDlTF6f08LAjL1tww9BYwex6WZHeLxQu3eGW7C7N", "hide": false, "title": "Venn diagrams and adding probabilities", "child_data": [{"kind": "Video", "id": 185786264}, {"kind": "Video", "id": 188066789}], "children": [{"translated_youtube_id": "obZzOq_wSCg", "relative_url": "/video/probability-with-playing-cards-and-venn-diagrams", "has_questions": false, "keywords": "math, chance, probability", "ka_url": "http://www.khanacademy.org/video/probability-with-playing-cards-and-venn-diagrams", "duration": 602, "translated_title": "Probability with playing cards and Venn diagrams", "translated_description_html": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "id": "185786264", "description_html": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "title": "Probability with playing cards and Venn diagrams", "progress_key": "v185786264", "edit_slug": "edit/v/185786264", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "extra_properties": null, "node_slug": "v/probability-with-playing-cards-and-venn-diagrams", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-08-03T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.m3u8/obZzOq_wSCg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=obZzOq_wSCg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v185786264", "sha": "ce9b24e3a198bed43e308424f7e7315d799a84d0", "translated_description": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", "image_url": "https://img.youtube.com/vi/obZzOq_wSCg/hqdefault.jpg", "youtube_id": "obZzOq_wSCg", "content_kind": "Video", "readable_id": "probability-with-playing-cards-and-venn-diagrams"}, {"translated_youtube_id": "QE2uR6Z-NcU", "relative_url": "/video/addition-rule-for-probability", "has_questions": false, "keywords": "probability, statistics, venn", "ka_url": "http://www.khanacademy.org/video/addition-rule-for-probability", "duration": 643, "translated_title": "Addition rule for probability", "translated_description_html": "Venn diagrams and the addition rule for probability", "id": "188066789", "description_html": "Venn diagrams and the addition rule for probability", "title": "Addition rule for probability", "progress_key": "v188066789", "edit_slug": "edit/v/188066789", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Venn diagrams and the addition rule for probability", "extra_properties": null, "node_slug": "v/addition-rule-for-probability", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-08-06T18:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.mp4/QE2uR6Z-NcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.mp4/QE2uR6Z-NcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QE2uR6Z-NcU.m3u8/QE2uR6Z-NcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QE2uR6Z-NcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v188066789", "sha": "2b84c897a1e0027bdf72f9e29b86c4787af9a9ae", "translated_description": "Venn diagrams and the addition rule for probability", "image_url": "https://img.youtube.com/vi/QE2uR6Z-NcU/hqdefault.jpg", "youtube_id": "QE2uR6Z-NcU", "content_kind": "Video", "readable_id": "addition-rule-for-probability"}], "twitter_url": "", "translated_description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", "x_pos": 0.0, "node_slug": "addition_rule_probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e9b65ff", "topic_page_url": "/math/probability/independent-dependent-probability/addition_rule_probability", "extended_slug": "math/probability/independent-dependent-probability/addition_rule_probability", "slug": "addition_rule_probability", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "86b50091003be68998a2384d62e237437d53b366", "standalone_title": "Venn diagrams and adding probabilities", "y_pos": 0.0, "current_revision_key": "86b50091003be68998a2384d62e237437d53b366", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/independent_events", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events", "translated_standalone_title": "Compound, independent events", "translated_title": "Compound, independent events", "gplus_url": "", "id": "x125a7186", "old_key_name": "mzoRz4-lxC_smkRHggmFgKXHTvj7jjcampVn_P0A", "hide": false, "title": "Compound, independent events", "child_data": [{"kind": "Video", "id": 191769945}, {"kind": "Video", "id": 191769946}, {"kind": "Video", "id": 27092}, {"kind": "Video", "id": 753767269}, {"kind": "Video", "id": 1022209423}, {"kind": "Video", "id": 191769947}, {"kind": "Video", "id": 27095}, {"kind": "Video", "id": 27096}, {"kind": "Exercise", "id": 757444186}, {"kind": "Video", "id": 545983015}, {"kind": "Exercise", "id": "x6ec3cabf"}], "children": [{"translated_youtube_id": "xSc4oLA9e8o", "relative_url": "/video/compound-probability-of-independent-events", "has_questions": false, "keywords": "probability, statistics, coin, fair", "ka_url": "http://www.khanacademy.org/video/compound-probability-of-independent-events", "duration": 360, "translated_title": "Compound probability of independent events", "translated_description_html": "Probability of particular sequences of flips", "id": "191769945", "description_html": "Probability of particular sequences of flips", "title": "Compound probability of independent events", "progress_key": "v191769945", "edit_slug": "edit/v/191769945", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of particular sequences of flips", "extra_properties": null, "node_slug": "v/compound-probability-of-independent-events", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSc4oLA9e8o.m3u8/xSc4oLA9e8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xSc4oLA9e8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769945", "sha": "7f64a31bdfc0cbc1147bd8ff5fa8c95726d26c14", "translated_description": "Probability of particular sequences of flips", "image_url": "https://img.youtube.com/vi/xSc4oLA9e8o/hqdefault.jpg", "youtube_id": "xSc4oLA9e8o", "content_kind": "Video", "readable_id": "compound-probability-of-independent-events"}, {"translated_youtube_id": "mkyZ45KQYi4", "relative_url": "/video/getting-at-least-one-heads", "has_questions": false, "keywords": "probability, statistics", "ka_url": "http://www.khanacademy.org/video/getting-at-least-one-heads", "duration": 560, "translated_title": "Getting at least one head", "translated_description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "id": "191769946", "description_html": "Probability of getting at least one heads in multiple flips of a fair coin", "title": "Getting at least one head", "progress_key": "v191769946", "edit_slug": "edit/v/191769946", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting at least one heads in multiple flips of a fair coin", "extra_properties": null, "node_slug": "v/getting-at-least-one-heads", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.m3u8/mkyZ45KQYi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mkyZ45KQYi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769946", "sha": "c689de107e1c2aea19420a840fa3543b6d2c0296", "translated_description": "Probability of getting at least one heads in multiple flips of a fair coin", "image_url": "https://img.youtube.com/vi/mkyZ45KQYi4/hqdefault.jpg", "youtube_id": "mkyZ45KQYi4", "content_kind": "Video", "readable_id": "getting-at-least-one-heads"}, {"translated_youtube_id": "O4Qnsubo2tg", "relative_url": "/video/events-and-outcomes-2", "has_questions": false, "keywords": "U12_L2_T1_we2, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-2", "duration": 315, "translated_title": "Example: Probability of rolling doubles", "translated_description_html": "Thinking about the probability of rolling doubles on a pair of dice", "id": "27092", "description_html": "Thinking about the probability of rolling doubles on a pair of dice", "title": "Example: Probability of rolling doubles", "progress_key": "v27092", "edit_slug": "edit/v/27092", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the probability of rolling doubles on a pair of dice", "extra_properties": null, "node_slug": "v/events-and-outcomes-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.mp4/O4Qnsubo2tg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O4Qnsubo2tg.m3u8/O4Qnsubo2tg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O4Qnsubo2tg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27092", "sha": "1d73ac0d07e2c8d5acb9bbabeb713a77b894a4e7", "translated_description": "Thinking about the probability of rolling doubles on a pair of dice", "image_url": "https://img.youtube.com/vi/O4Qnsubo2tg/hqdefault.jpg", "youtube_id": "O4Qnsubo2tg", "content_kind": "Video", "readable_id": "events-and-outcomes-2"}, {"translated_youtube_id": "iMqCSgqzmiQ", "relative_url": "/video/lebron-asks-about-the-chances-of-making-10-free-throws", "has_questions": false, "keywords": "marquee, lebron, james, probability, miami, heat, khan, academy, marquee", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-the-chances-of-making-10-free-throws", "duration": 425, "translated_title": "LeBron asks: What are the chances of making 10 free throws in a row?", "translated_description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "id": "753767269", "description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "title": "LeBron asks: What are the chances of making 10 free throws in a row?", "progress_key": "v753767269", "edit_slug": "edit/v/753767269", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "extra_properties": null, "node_slug": "v/lebron-asks-about-the-chances-of-making-10-free-throws", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-04-30T15:16:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.m3u8/iMqCSgqzmiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iMqCSgqzmiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v753767269", "sha": "9c4cadca1ed9299e2cbc8d7d232c21433764430f", "translated_description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "image_url": "https://img.youtube.com/vi/iMqCSgqzmiQ/hqdefault.jpg", "youtube_id": "iMqCSgqzmiQ", "content_kind": "Video", "readable_id": "lebron-asks-about-the-chances-of-making-10-free-throws"}, {"translated_youtube_id": "PddbEVNMgTY", "relative_url": "/video/lebron-asks-about-free-throws-versus-three-pointers", "has_questions": false, "keywords": "probability, math, basketball", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-free-throws-versus-three-pointers", "duration": 347, "translated_title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "translated_description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "id": "1022209423", "description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "progress_key": "v1022209423", "edit_slug": "edit/v/1022209423", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "extra_properties": null, "node_slug": "v/lebron-asks-about-free-throws-versus-three-pointers", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-09-05T05:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.m3u8/PddbEVNMgTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PddbEVNMgTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022209423", "sha": "bcb9bc80fdd090bb5dbe8c01b7c85a674f1497fa", "translated_description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "image_url": "https://img.youtube.com/vi/PddbEVNMgTY/hqdefault.jpg", "youtube_id": "PddbEVNMgTY", "content_kind": "Video", "readable_id": "lebron-asks-about-free-throws-versus-three-pointers"}, {"translated_youtube_id": "RI874OSJp1U", "relative_url": "/video/frequency-probability-and-unfair-coins", "has_questions": false, "keywords": "probability, statistics, chance", "ka_url": "http://www.khanacademy.org/video/frequency-probability-and-unfair-coins", "duration": 538, "translated_title": "Frequency probability and unfair coins", "translated_description_html": "A different way of thinking about probability when we don't have equally likely events", "id": "191769947", "description_html": "A different way of thinking about probability when we don't have equally likely events", "title": "Frequency probability and unfair coins", "progress_key": "v191769947", "edit_slug": "edit/v/191769947", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A different way of thinking about probability when we don't have equally likely events", "extra_properties": null, "node_slug": "v/frequency-probability-and-unfair-coins", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-08-09T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.mp4/RI874OSJp1U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RI874OSJp1U.m3u8/RI874OSJp1U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RI874OSJp1U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v191769947", "sha": "da2068594ee7efef68422442b0cb0eab6d601a7d", "translated_description": "A different way of thinking about probability when we don't have equally likely events", "image_url": "https://img.youtube.com/vi/RI874OSJp1U/hqdefault.jpg", "youtube_id": "RI874OSJp1U", "content_kind": "Video", "readable_id": "frequency-probability-and-unfair-coins"}, {"translated_youtube_id": "VWAfEbgf1Po", "relative_url": "/video/independent-events-2", "has_questions": false, "keywords": "U12_L2_T2_we2, Independent, Events, CC_7_SP_8_b, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/independent-events-2", "duration": 284, "translated_title": "Example: Getting two questions right on an exam", "translated_description_html": "Probability of two independent events occuring.", "id": "27095", "description_html": "Probability of two independent events occuring.", "title": "Example: Getting two questions right on an exam", "progress_key": "v27095", "edit_slug": "edit/v/27095", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of two independent events occuring.", "extra_properties": null, "node_slug": "v/independent-events-2", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VWAfEbgf1Po.m3u8/VWAfEbgf1Po.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VWAfEbgf1Po&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27095", "sha": "d6348864846efae08355622eb2e85b34705a3cd8", "translated_description": "Probability of two independent events occuring.", "image_url": "https://img.youtube.com/vi/VWAfEbgf1Po/hqdefault.jpg", "youtube_id": "VWAfEbgf1Po", "content_kind": "Video", "readable_id": "independent-events-2"}, {"translated_youtube_id": "2MYA8Ba2PvM", "relative_url": "/video/independent-events-3", "has_questions": false, "keywords": "U12_L2_T2_we3, Independent, Events, CC_7_SP_6", "ka_url": "http://www.khanacademy.org/video/independent-events-3", "duration": 148, "translated_title": "Example: Rolling even three times", "translated_description_html": "Another example showing the probability of rolling an even number three times in a row.", "id": "27096", "description_html": "Another example showing the probability of rolling an even number three times in a row.", "title": "Example: Rolling even three times", "progress_key": "v27096", "edit_slug": "edit/v/27096", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example showing the probability of rolling an even number three times in a row.", "extra_properties": null, "node_slug": "v/independent-events-3", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.mp4/2MYA8Ba2PvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2MYA8Ba2PvM.m3u8/2MYA8Ba2PvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2MYA8Ba2PvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27096", "sha": "3035ed1ec090fd1bd0e994a60b7fe9ad1e967857", "translated_description": "Another example showing the probability of rolling an even number three times in a row.", "image_url": "https://img.youtube.com/vi/2MYA8Ba2PvM/hqdefault.jpg", "youtube_id": "2MYA8Ba2PvM", "content_kind": "Video", "readable_id": "independent-events-3"}, {"translated_youtube_id": "vVXbgbMp0oY", "relative_url": "/video/frequency-stability", "has_questions": false, "keywords": "probability, statistics, frequency stability", "ka_url": "http://www.khanacademy.org/video/frequency-stability", "duration": 129, "translated_title": "Frequency stability", "translated_description_html": "What is the difference between a coin flip and a blind guess?", "id": "545983015", "description_html": "What is the difference between a coin flip and a blind guess?", "title": "Frequency stability", "progress_key": "v545983015", "edit_slug": "edit/v/545983015", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What is the difference between a coin flip and a blind guess?", "extra_properties": {"original_url": ""}, "node_slug": "v/frequency-stability", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-02-02T22:13:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.m3u8/vVXbgbMp0oY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vVXbgbMp0oY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v545983015", "sha": "024f0d7bf98f9f7397e5e0dfab682e5d387fc75c", "translated_description": "What is the difference between a coin flip and a blind guess?", "image_url": "https://img.youtube.com/vi/vVXbgbMp0oY/hqdefault.jpg", "youtube_id": "vVXbgbMp0oY", "content_kind": "Video", "readable_id": "frequency-stability"}], "twitter_url": "", "translated_description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", "x_pos": 0.0, "node_slug": "independent_events", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T19:38:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax125a7186", "topic_page_url": "/math/probability/independent-dependent-probability/independent_events", "extended_slug": "math/probability/independent-dependent-probability/independent_events", "slug": "independent_events", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "854bc9cebba4a30bd043d6ec9ea5fde6fb227744", "standalone_title": "Compound, independent events", "y_pos": 0.0, "current_revision_key": "854bc9cebba4a30bd043d6ec9ea5fde6fb227744", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/dependent_probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability", "translated_standalone_title": "Dependent probability", "translated_title": "Dependent probability", "gplus_url": "", "id": "x8894d776", "old_key_name": "DgnQF8xE3vM9iFvEszoTJeCcvu8D1XhC8OBsVKni", "hide": false, "title": "Dependent probability", "child_data": [{"kind": "Video", "id": 1200026245}, {"kind": "Video", "id": 94879656}, {"kind": "Video", "id": 27094}, {"kind": "Video", "id": 94879657}, {"kind": "Exercise", "id": 13179407}, {"kind": "Video", "id": 878209052}], "children": [{"translated_youtube_id": "VjLEoo3hIoM", "relative_url": "/video/introduction-to-dependent-probability", "has_questions": false, "keywords": "dependent, replacement, probability, independent, events", "ka_url": "http://www.khanacademy.org/video/introduction-to-dependent-probability", "duration": 398, "translated_title": "Introduction to dependent probability", "translated_description_html": "Deciding whether you want to play a game at a strange casino.", "id": "1200026245", "description_html": "Deciding whether you want to play a game at a strange casino.", "title": "Introduction to dependent probability", "progress_key": "v1200026245", "edit_slug": "edit/v/1200026245", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deciding whether you want to play a game at a strange casino.", "extra_properties": null, "node_slug": "v/introduction-to-dependent-probability", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-12-05T18:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.mp4/VjLEoo3hIoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.mp4/VjLEoo3hIoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VjLEoo3hIoM.m3u8/VjLEoo3hIoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VjLEoo3hIoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1200026245", "sha": "b7884bc1010fa34b597d26c18b7a8df776951be7", "translated_description": "Deciding whether you want to play a game at a strange casino.", "image_url": "https://img.youtube.com/vi/VjLEoo3hIoM/hqdefault.jpg", "youtube_id": "VjLEoo3hIoM", "content_kind": "Video", "readable_id": "introduction-to-dependent-probability"}, {"translated_youtube_id": "xPUm5SUVzTE", "relative_url": "/video/dependent-probability-example-1", "has_questions": false, "keywords": "probability, coins, unfair", "ka_url": "http://www.khanacademy.org/video/dependent-probability-example-1", "duration": 541, "translated_title": "Example: Dependent probability", "translated_description_html": "Thinking about how the probability of an event can be dependent on another event occuring.", "id": "94879656", "description_html": "Thinking about how the probability of an event can be dependent on another event occuring.", "title": "Example: Dependent probability", "progress_key": "v94879656", "edit_slug": "edit/v/94879656", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how the probability of an event can be dependent on another event occuring.", "extra_properties": null, "node_slug": "v/dependent-probability-example-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-05-23T23:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.m3u8/xPUm5SUVzTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xPUm5SUVzTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v94879656", "sha": "d811de0700dadae8e08c6c1a50bab0bfefedbf88", "translated_description": "Thinking about how the probability of an event can be dependent on another event occuring.", "image_url": "https://img.youtube.com/vi/xPUm5SUVzTE/hqdefault.jpg", "youtube_id": "xPUm5SUVzTE", "content_kind": "Video", "readable_id": "dependent-probability-example-1"}, {"translated_youtube_id": "Za7G_eWKiF4", "relative_url": "/video/independent-events-1", "has_questions": false, "keywords": "U12_L2_T2_we1, Independent, Events", "ka_url": "http://www.khanacademy.org/video/independent-events-1", "duration": 159, "translated_title": "Example: Is an event independent or dependent?", "translated_description_html": "Independent Events 1", "id": "27094", "description_html": "Independent Events 1", "title": "Example: Is an event independent or dependent?", "progress_key": "v27094", "edit_slug": "edit/v/27094", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Independent Events 1", "extra_properties": null, "node_slug": "v/independent-events-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.mp4/Za7G_eWKiF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.mp4/Za7G_eWKiF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Za7G_eWKiF4.m3u8/Za7G_eWKiF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Za7G_eWKiF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27094", "sha": "4bfcabf3363600c4afd8b609a78f917730886619", "translated_description": "Independent Events 1", "image_url": "https://img.youtube.com/vi/Za7G_eWKiF4/hqdefault.jpg", "youtube_id": "Za7G_eWKiF4", "content_kind": "Video", "readable_id": "independent-events-1"}, {"translated_youtube_id": "7BkcNLOf56w", "relative_url": "/video/dependent-probability-example-2", "has_questions": false, "keywords": "coin, unfair, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/dependent-probability-example-2", "duration": 394, "translated_title": "Example: Bag of unfair coins", "translated_description_html": "Example where the probability of an outcome is dependent on which coin you happen to pick", "id": "94879657", "description_html": "Example where the probability of an outcome is dependent on which coin you happen to pick", "title": "Example: Bag of unfair coins", "progress_key": "v94879657", "edit_slug": "edit/v/94879657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example where the probability of an outcome is dependent on which coin you happen to pick", "extra_properties": null, "node_slug": "v/dependent-probability-example-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-05-23T23:27:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.m3u8/7BkcNLOf56w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7BkcNLOf56w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v94879657", "sha": "d72360c4fdd242d5ae1fd9e1e05afdf45b1dbd66", "translated_description": "Example where the probability of an outcome is dependent on which coin you happen to pick", "image_url": "https://img.youtube.com/vi/7BkcNLOf56w/hqdefault.jpg", "youtube_id": "7BkcNLOf56w", "content_kind": "Video", "readable_id": "dependent-probability-example-2"}, {"translated_youtube_id": "Xp6V_lO1ZKA", "relative_url": "/video/monty-hall-problem", "has_questions": false, "keywords": "probability, monty, hall, lets, make, deal", "ka_url": "http://www.khanacademy.org/video/monty-hall-problem", "duration": 443, "translated_title": "Monty Hall problem", "translated_description_html": "Presentation and analysis of the famous Monty Hall Problem", "id": "878209052", "description_html": "Presentation and analysis of the famous Monty Hall Problem", "title": "Monty Hall problem", "progress_key": "v878209052", "edit_slug": "edit/v/878209052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Presentation and analysis of the famous Monty Hall Problem", "extra_properties": null, "node_slug": "v/monty-hall-problem", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-06-29T00:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.mp4/Xp6V_lO1ZKA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.mp4/Xp6V_lO1ZKA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xp6V_lO1ZKA.m3u8/Xp6V_lO1ZKA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xp6V_lO1ZKA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v878209052", "sha": "cd07a1a2887768ab80f071e469f10848adeda8cb", "translated_description": "Presentation and analysis of the famous Monty Hall Problem", "image_url": "https://img.youtube.com/vi/Xp6V_lO1ZKA/hqdefault.jpg", "youtube_id": "Xp6V_lO1ZKA", "content_kind": "Video", "readable_id": "monty-hall-problem"}], "twitter_url": "", "translated_description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", "x_pos": 0.0, "node_slug": "dependent_probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8894d776", "topic_page_url": "/math/probability/independent-dependent-probability/dependent_probability", "extended_slug": "math/probability/independent-dependent-probability/dependent_probability", "slug": "dependent_probability", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3f63e4d26156563e3a3acb043fc385fa717f243b", "standalone_title": "Dependent probability", "y_pos": 0.0, "current_revision_key": "3f63e4d26156563e3a3acb043fc385fa717f243b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/basic_set_operations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations", "translated_standalone_title": "Basic set operations", "translated_title": "Basic set operations", "gplus_url": "", "id": "xa85e1e09", "old_key_name": "6zw3-a4jfcH_Fc6CZwmUb23oeRyehusPCg8nBAS-", "hide": false, "title": "Basic set operations", "child_data": [{"kind": "Video", "id": "x99efa12b"}, {"kind": "Video", "id": "x4cc5bca0"}, {"kind": "Video", "id": "x66808e41"}, {"kind": "Video", "id": "xf762eb2f"}, {"kind": "Video", "id": "x614a90bd"}, {"kind": "Exercise", "id": "x49c98e85"}], "children": [{"translated_youtube_id": "jAfNg3ylZAI", "relative_url": "/video/intersection-and-union-of-sets", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intersection-and-union-of-sets", "duration": 464, "translated_title": "Intersection and union of sets", "translated_description_html": "", "id": "x99efa12b", "description_html": "", "title": "Intersection and union of sets", "progress_key": "vx99efa12b", "edit_slug": "edit/v/x99efa12b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/intersection-and-union-of-sets", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-03-14T17:44:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jAfNg3ylZAI.mp4/jAfNg3ylZAI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jAfNg3ylZAI.mp4/jAfNg3ylZAI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jAfNg3ylZAI.m3u8/jAfNg3ylZAI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jAfNg3ylZAI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx99efa12b", "sha": "f5e9e07d1c8af61df96e9ff7aea75e4877478062", "translated_description": "", "image_url": "https://img.youtube.com/vi/jAfNg3ylZAI/hqdefault.jpg", "youtube_id": "jAfNg3ylZAI", "content_kind": "Video", "readable_id": "intersection-and-union-of-sets"}, {"translated_youtube_id": "2B4EBvVvf9w", "relative_url": "/video/relative-complement-or-difference-between-sets", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/relative-complement-or-difference-between-sets", "duration": 375, "translated_title": "Relative complement or difference between sets", "translated_description_html": "", "id": "x4cc5bca0", "description_html": "", "title": "Relative complement or difference between sets", "progress_key": "vx4cc5bca0", "edit_slug": "edit/v/x4cc5bca0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/relative-complement-or-difference-between-sets", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-14T17:44:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2B4EBvVvf9w.mp4/2B4EBvVvf9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2B4EBvVvf9w.mp4/2B4EBvVvf9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2B4EBvVvf9w.m3u8/2B4EBvVvf9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2B4EBvVvf9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4cc5bca0", "sha": "5b433b7bbffb0c82de551b3f229581283f7ed332", "translated_description": "", "image_url": "https://img.youtube.com/vi/2B4EBvVvf9w/hqdefault.jpg", "youtube_id": "2B4EBvVvf9w", "content_kind": "Video", "readable_id": "relative-complement-or-difference-between-sets"}, {"translated_youtube_id": "GVZUpOm3XUg", "relative_url": "/video/universal-set-and-absolute-complement", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/universal-set-and-absolute-complement", "duration": 386, "translated_title": "Universal set and absolute complement", "translated_description_html": "", "id": "x66808e41", "description_html": "", "title": "Universal set and absolute complement", "progress_key": "vx66808e41", "edit_slug": "edit/v/x66808e41", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/universal-set-and-absolute-complement", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-14T17:45:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GVZUpOm3XUg.mp4/GVZUpOm3XUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GVZUpOm3XUg.mp4/GVZUpOm3XUg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GVZUpOm3XUg.m3u8/GVZUpOm3XUg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GVZUpOm3XUg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx66808e41", "sha": "624cf77445fc892eb40da38c51ed25ad779081d5", "translated_description": "", "image_url": "https://img.youtube.com/vi/GVZUpOm3XUg/hqdefault.jpg", "youtube_id": "GVZUpOm3XUg", "content_kind": "Video", "readable_id": "universal-set-and-absolute-complement"}, {"translated_youtube_id": "1wsF9GpGd00", "relative_url": "/video/subset--strict-subset--and-superset", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/subset--strict-subset--and-superset", "duration": 272, "translated_title": "Subset, strict subset, and superset", "translated_description_html": "", "id": "xf762eb2f", "description_html": "", "title": "Subset, strict subset, and superset", "progress_key": "vxf762eb2f", "edit_slug": "edit/v/xf762eb2f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/subset--strict-subset--and-superset", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-03-14T17:45:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1wsF9GpGd00.mp4/1wsF9GpGd00.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1wsF9GpGd00.mp4/1wsF9GpGd00.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1wsF9GpGd00.m3u8/1wsF9GpGd00.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1wsF9GpGd00&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf762eb2f", "sha": "ba1aa4e482062c30f8503a57d48518e44346dd2b", "translated_description": "", "image_url": "https://img.youtube.com/vi/1wsF9GpGd00/hqdefault.jpg", "youtube_id": "1wsF9GpGd00", "content_kind": "Video", "readable_id": "subset--strict-subset--and-superset"}, {"translated_youtube_id": "OCNXS_m1HWU", "relative_url": "/video/bringing-the-set-operations-together", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bringing-the-set-operations-together", "duration": 388, "translated_title": "Bringing the set operations together", "translated_description_html": "", "id": "x614a90bd", "description_html": "", "title": "Bringing the set operations together", "progress_key": "vx614a90bd", "edit_slug": "edit/v/x614a90bd", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/bringing-the-set-operations-together", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-03-14T17:45:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCNXS_m1HWU.mp4/OCNXS_m1HWU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OCNXS_m1HWU.mp4/OCNXS_m1HWU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCNXS_m1HWU.m3u8/OCNXS_m1HWU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OCNXS_m1HWU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx614a90bd", "sha": "9ec0089b6e07d01afbb5e9041d4969636536fe20", "translated_description": "", "image_url": "https://img.youtube.com/vi/OCNXS_m1HWU/hqdefault.jpg", "youtube_id": "OCNXS_m1HWU", "content_kind": "Video", "readable_id": "bringing-the-set-operations-together"}], "twitter_url": "", "translated_description": "Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this \"set\" of skills. From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this \"set\" of skills. From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets!", "x_pos": 0.0, "node_slug": "basic_set_operations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-14T07:06:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa85e1e09", "topic_page_url": "/math/probability/independent-dependent-probability/basic_set_operations", "extended_slug": "math/probability/independent-dependent-probability/basic_set_operations", "slug": "basic_set_operations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ddb075fb3bec11b2f0e0cc34eea1619d8155184d", "standalone_title": "Basic set operations", "y_pos": 0.0, "current_revision_key": "ddb075fb3bec11b2f0e0cc34eea1619d8155184d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/independent-dependent-probability/old_prob_videos", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/independent-dependent-probability/old_prob_videos", "translated_standalone_title": "Old school probability", "translated_title": "Old school probability (very optional)", "gplus_url": "", "id": "xdea2f859", "old_key_name": "muL97xbPXn0qKphqzi8LHwOEqzYxulFKbIhQjRRG", "hide": false, "title": "Old school probability (very optional)", "child_data": [{"kind": "Video", "id": 25833}, {"kind": "Video", "id": 25835}, {"kind": "Video", "id": 25837}, {"kind": "Video", "id": 25839}, {"kind": "Video", "id": 25841}, {"kind": "Video", "id": 25843}, {"kind": "Video", "id": 25845}, {"kind": "Video", "id": 25847}, {"kind": "Video", "id": 25859}], "children": [{"translated_youtube_id": "3ER8OkqBdpE", "relative_url": "/video/probability--part-1", "has_questions": false, "keywords": "probability", "ka_url": "http://www.khanacademy.org/video/probability--part-1", "duration": 630, "translated_title": "Probability (part 1)", "translated_description_html": "What probability is.", "id": "25833", "description_html": "What probability is.", "title": "Probability (part 1)", "progress_key": "v25833", "edit_slug": "edit/v/25833", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What probability is.", "extra_properties": null, "node_slug": "v/probability--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ER8OkqBdpE.mp4/3ER8OkqBdpE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ER8OkqBdpE.mp4/3ER8OkqBdpE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ER8OkqBdpE.m3u8/3ER8OkqBdpE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ER8OkqBdpE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25833", "sha": "d3b6c7e22b6a529069fcf67c461efb69538ee12f", "translated_description": "What probability is.", "image_url": "https://img.youtube.com/vi/3ER8OkqBdpE/hqdefault.jpg", "youtube_id": "3ER8OkqBdpE", "content_kind": "Video", "readable_id": "probability--part-1"}, {"translated_youtube_id": "6E_NVnboMB8", "relative_url": "/video/probability--part-2", "has_questions": false, "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/probability--part-2", "duration": 594, "translated_title": "Probability (part 2)", "translated_description_html": "Let's flip a coin.", "id": "25835", "description_html": "Let's flip a coin.", "title": "Probability (part 2)", "progress_key": "v25835", "edit_slug": "edit/v/25835", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's flip a coin.", "extra_properties": null, "node_slug": "v/probability--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6E_NVnboMB8.mp4/6E_NVnboMB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6E_NVnboMB8.mp4/6E_NVnboMB8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6E_NVnboMB8.m3u8/6E_NVnboMB8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6E_NVnboMB8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25835", "sha": "bfb6ca8e9cadea5a65a836261f88df448876cfa4", "translated_description": "Let's flip a coin.", "image_url": "https://img.youtube.com/vi/6E_NVnboMB8/hqdefault.jpg", "youtube_id": "6E_NVnboMB8", "content_kind": "Video", "readable_id": "probability--part-2"}, {"translated_youtube_id": "wBDOCvHYckE", "relative_url": "/video/probability--part-3", "has_questions": false, "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/probability--part-3", "duration": 606, "translated_title": "Probability (part 3)", "translated_description_html": "More on probability.", "id": "25837", "description_html": "More on probability.", "title": "Probability (part 3)", "progress_key": "v25837", "edit_slug": "edit/v/25837", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on probability.", "extra_properties": null, "node_slug": "v/probability--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wBDOCvHYckE.mp4/wBDOCvHYckE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wBDOCvHYckE.mp4/wBDOCvHYckE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wBDOCvHYckE.m3u8/wBDOCvHYckE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wBDOCvHYckE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25837", "sha": "1b450b6cc881f12cf30b8b59e344dafb5d1ea02e", "translated_description": "More on probability.", "image_url": "https://img.youtube.com/vi/wBDOCvHYckE/hqdefault.jpg", "youtube_id": "wBDOCvHYckE", "content_kind": "Video", "readable_id": "probability--part-3"}, {"translated_youtube_id": "W581OBM9rAY", "relative_url": "/video/probability--part-4", "has_questions": false, "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/probability--part-4", "duration": 599, "translated_title": "Probability (part 4)", "translated_description_html": "More on free throws.", "id": "25839", "description_html": "More on free throws.", "title": "Probability (part 4)", "progress_key": "v25839", "edit_slug": "edit/v/25839", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on free throws.", "extra_properties": null, "node_slug": "v/probability--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W581OBM9rAY.mp4/W581OBM9rAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W581OBM9rAY.mp4/W581OBM9rAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W581OBM9rAY.m3u8/W581OBM9rAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W581OBM9rAY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25839", "sha": "3b3304a3ee6c485b699ca54dde43f080e4d8b02c", "translated_description": "More on free throws.", "image_url": "https://img.youtube.com/vi/W581OBM9rAY/hqdefault.jpg", "youtube_id": "W581OBM9rAY", "content_kind": "Video", "readable_id": "probability--part-4"}, {"translated_youtube_id": "2XToWi9j0Tk", "relative_url": "/video/probability--part-5", "has_questions": false, "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/probability--part-5", "duration": 607, "translated_title": "Probability (part 5)", "translated_description_html": "Probability of getting a certain number roll in Monopoly", "id": "25841", "description_html": "Probability of getting a certain number roll in Monopoly", "title": "Probability (part 5)", "progress_key": "v25841", "edit_slug": "edit/v/25841", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting a certain number roll in Monopoly", "extra_properties": null, "node_slug": "v/probability--part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2XToWi9j0Tk.mp4/2XToWi9j0Tk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2XToWi9j0Tk.mp4/2XToWi9j0Tk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2XToWi9j0Tk.m3u8/2XToWi9j0Tk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2XToWi9j0Tk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25841", "sha": "ba2147f18c012228c5ad95255b8b7d293819e58f", "translated_description": "Probability of getting a certain number roll in Monopoly", "image_url": "https://img.youtube.com/vi/2XToWi9j0Tk/hqdefault.jpg", "youtube_id": "2XToWi9j0Tk", "content_kind": "Video", "readable_id": "probability--part-5"}, {"translated_youtube_id": "xf3vfczoCho", "relative_url": "/video/probability--part-6", "has_questions": false, "keywords": "conditional, probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/probability--part-6", "duration": 556, "translated_title": "Probability (part 6)", "translated_description_html": "Introduction to conditional probability", "id": "25843", "description_html": "Introduction to conditional probability", "title": "Probability (part 6)", "progress_key": "v25843", "edit_slug": "edit/v/25843", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to conditional probability", "extra_properties": null, "node_slug": "v/probability--part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xf3vfczoCho.mp4/xf3vfczoCho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xf3vfczoCho.mp4/xf3vfczoCho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xf3vfczoCho.m3u8/xf3vfczoCho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xf3vfczoCho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25843", "sha": "d56bd99a62c945ac1d8ffef72fa5ce5bead0b4a5", "translated_description": "Introduction to conditional probability", "image_url": "https://img.youtube.com/vi/xf3vfczoCho/hqdefault.jpg", "youtube_id": "xf3vfczoCho", "content_kind": "Video", "readable_id": "probability--part-6"}, {"translated_youtube_id": "BLcgeLALLnc", "relative_url": "/video/probability--part-7", "has_questions": false, "keywords": "conditional, probability, bayes, theorem, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", "ka_url": "http://www.khanacademy.org/video/probability--part-7", "duration": 605, "translated_title": "Probability (part 7)", "translated_description_html": "More on conditional probability. Touch on Bayes' Theorem.", "id": "25845", "description_html": "More on conditional probability. Touch on Bayes' Theorem.", "title": "Probability (part 7)", "progress_key": "v25845", "edit_slug": "edit/v/25845", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on conditional probability. Touch on Bayes' Theorem.", "extra_properties": null, "node_slug": "v/probability--part-7", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.mp4/BLcgeLALLnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.mp4/BLcgeLALLnc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.m3u8/BLcgeLALLnc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BLcgeLALLnc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25845", "sha": "38b6977db6ea2207f856137da2bc111d1a9f712c", "translated_description": "More on conditional probability. Touch on Bayes' Theorem.", "image_url": "https://img.youtube.com/vi/BLcgeLALLnc/hqdefault.jpg", "youtube_id": "BLcgeLALLnc", "content_kind": "Video", "readable_id": "probability--part-7"}, {"translated_youtube_id": "VVr8snbaxZg", "relative_url": "/video/probability--part-8", "has_questions": false, "keywords": "conditional, probability, bayes, CC_7_SP_8_a", "ka_url": "http://www.khanacademy.org/video/probability--part-8", "duration": 323, "translated_title": "Probability (part 8)", "translated_description_html": "Introduction to Bayes' Theorem", "id": "25847", "description_html": "Introduction to Bayes' Theorem", "title": "Probability (part 8)", "progress_key": "v25847", "edit_slug": "edit/v/25847", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Bayes' Theorem", "extra_properties": null, "node_slug": "v/probability--part-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VVr8snbaxZg.mp4/VVr8snbaxZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VVr8snbaxZg.mp4/VVr8snbaxZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VVr8snbaxZg.m3u8/VVr8snbaxZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VVr8snbaxZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25847", "sha": "4c1627b702b16a02a164b22552ad4ccc859ae658", "translated_description": "Introduction to Bayes' Theorem", "image_url": "https://img.youtube.com/vi/VVr8snbaxZg/hqdefault.jpg", "youtube_id": "VVr8snbaxZg", "content_kind": "Video", "readable_id": "probability--part-8"}, {"translated_youtube_id": "IYdiKeQ9xEI", "relative_url": "/video/introduction-to-random-variables", "has_questions": false, "keywords": "random, variable, statistics, probability, distribution, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-random-variables", "duration": 724, "translated_title": "Introduction to random variables", "translated_description_html": "Introduction to random variables and probability distribution functions.", "id": "25859", "description_html": "Introduction to random variables and probability distribution functions.", "title": "Introduction to random variables", "progress_key": "v25859", "edit_slug": "edit/v/25859", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to random variables and probability distribution functions.", "extra_properties": null, "node_slug": "v/introduction-to-random-variables", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IYdiKeQ9xEI.mp4/IYdiKeQ9xEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IYdiKeQ9xEI.mp4/IYdiKeQ9xEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IYdiKeQ9xEI.m3u8/IYdiKeQ9xEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IYdiKeQ9xEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25859", "sha": "57775f6e4e013a0e9dacde725c43085a56786b70", "translated_description": "Introduction to random variables and probability distribution functions.", "image_url": "https://img.youtube.com/vi/IYdiKeQ9xEI/hqdefault.jpg", "youtube_id": "IYdiKeQ9xEI", "content_kind": "Video", "readable_id": "introduction-to-random-variables"}], "twitter_url": "", "translated_description": "Sal's old videos on probability. Covered better in other tutorials but here because some people actually like these better.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal's old videos on probability. Covered better in other tutorials but here because some people actually like these better.", "x_pos": 0.0, "node_slug": "old_prob_videos", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdea2f859", "topic_page_url": "/math/probability/independent-dependent-probability/old_prob_videos", "extended_slug": "math/probability/independent-dependent-probability/old_prob_videos", "slug": "old_prob_videos", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0db58faf7f0cf4bc88836a444dce8d21f2ce2a76", "standalone_title": "Old school probability", "y_pos": 0.0, "current_revision_key": "0db58faf7f0cf4bc88836a444dce8d21f2ce2a76", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.", "x_pos": 0.0, "node_slug": "independent-dependent-probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd573b830", "topic_page_url": "/math/probability/independent-dependent-probability", "extended_slug": "math/probability/independent-dependent-probability", "slug": "independent-dependent-probability", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "53d5b1c4dac0e54dbf178da655b090e90e73baf4", "standalone_title": "Independent and dependent events", "y_pos": 0.0, "current_revision_key": "53d5b1c4dac0e54dbf178da655b090e90e73baf4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/probability-and-combinatorics-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/probability-and-combinatorics-topic", "translated_standalone_title": "Probability and combinatorics", "translated_title": "Probability and combinatorics", "gplus_url": "", "id": "x9966d42b", "old_key_name": "pFqSEsww-CMNvFtzI8zZ4ToUpyftBXFOWbdnypdU", "hide": false, "title": "Probability and combinatorics", "child_data": [{"kind": "Topic", "id": "x55fea231"}, {"kind": "Topic", "id": "xf330a3df"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations", "translated_standalone_title": "Permutations and combinations", "translated_title": "Permutations and combinations", "gplus_url": "", "id": "x55fea231", "old_key_name": "T2zDfDetmHBueGq_FALlmG6V33H3WUOKshTY0oAK", "hide": false, "title": "Permutations and combinations", "child_data": [{"kind": "Video", "id": 25802}, {"kind": "Video", "id": 25804}, {"kind": "Exercise", "id": 297933680}, {"kind": "Video", "id": 27097}, {"kind": "Video", "id": 27099}, {"kind": "Video", "id": 27098}, {"kind": "Exercise", "id": 917305998}, {"kind": "Exercise", "id": 937485754}, {"kind": "Exercise", "id": 937561152}], "children": [{"translated_youtube_id": "XqQTXW7XfYA", "relative_url": "/video/permutations", "has_questions": false, "keywords": "permutations", "ka_url": "http://www.khanacademy.org/video/permutations", "duration": 611, "translated_title": "Permutations", "translated_description_html": "Introduction to permutations", "id": "25802", "description_html": "Introduction to permutations", "title": "Permutations", "progress_key": "v25802", "edit_slug": "edit/v/25802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to permutations", "extra_properties": null, "node_slug": "v/permutations", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.mp4/XqQTXW7XfYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.mp4/XqQTXW7XfYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XqQTXW7XfYA.m3u8/XqQTXW7XfYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XqQTXW7XfYA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25802", "sha": "319ae062b7fe588d5d4baaf8a5c9f709c9283c7a", "translated_description": "Introduction to permutations", "image_url": "https://img.youtube.com/vi/XqQTXW7XfYA/hqdefault.jpg", "youtube_id": "XqQTXW7XfYA", "content_kind": "Video", "readable_id": "permutations"}, {"translated_youtube_id": "bCxMhncR7PU", "relative_url": "/video/combinations", "has_questions": false, "keywords": "combinations", "ka_url": "http://www.khanacademy.org/video/combinations", "duration": 616, "translated_title": "Combinations", "translated_description_html": "Introduction to combinations", "id": "25804", "description_html": "Introduction to combinations", "title": "Combinations", "progress_key": "v25804", "edit_slug": "edit/v/25804", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to combinations", "extra_properties": null, "node_slug": "v/combinations", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:51:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.mp4/bCxMhncR7PU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.mp4/bCxMhncR7PU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bCxMhncR7PU.m3u8/bCxMhncR7PU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bCxMhncR7PU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25804", "sha": "3c0500fb211f4ab1bcf03849b284e42ad4c586a7", "translated_description": "Introduction to combinations", "image_url": "https://img.youtube.com/vi/bCxMhncR7PU/hqdefault.jpg", "youtube_id": "bCxMhncR7PU", "content_kind": "Video", "readable_id": "combinations"}, {"translated_youtube_id": "oQpKtm5TtxU", "relative_url": "/video/permutations-and-combinations-1", "has_questions": false, "keywords": "U12_L2_T3_we1, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-1", "duration": 225, "translated_title": "Example: Ways to arrange colors", "translated_description_html": "Thinking about how many ways you can pick four colors from a group of 6", "id": "27097", "description_html": "Thinking about how many ways you can pick four colors from a group of 6", "title": "Example: Ways to arrange colors", "progress_key": "v27097", "edit_slug": "edit/v/27097", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how many ways you can pick four colors from a group of 6", "extra_properties": null, "node_slug": "v/permutations-and-combinations-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.m3u8/oQpKtm5TtxU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oQpKtm5TtxU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27097", "sha": "cd87969a248f2bb2b22e173cddd75eedb4996d6d", "translated_description": "Thinking about how many ways you can pick four colors from a group of 6", "image_url": "https://img.youtube.com/vi/oQpKtm5TtxU/hqdefault.jpg", "youtube_id": "oQpKtm5TtxU", "content_kind": "Video", "readable_id": "permutations-and-combinations-1"}, {"translated_youtube_id": "SbpoyXTpC84", "relative_url": "/video/permutations-and-combinations-3", "has_questions": false, "keywords": "U12_L2_T3_we3, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-3", "duration": 462, "translated_title": "Example: 9 card hands", "translated_description_html": "Thinking about how many ways we can construct a hand of 9 cards", "id": "27099", "description_html": "Thinking about how many ways we can construct a hand of 9 cards", "title": "Example: 9 card hands", "progress_key": "v27099", "edit_slug": "edit/v/27099", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how many ways we can construct a hand of 9 cards", "extra_properties": null, "node_slug": "v/permutations-and-combinations-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.mp4/SbpoyXTpC84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.mp4/SbpoyXTpC84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SbpoyXTpC84.m3u8/SbpoyXTpC84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SbpoyXTpC84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27099", "sha": "4d8c7a5d51cb557eec166be59acaf666c3b2ed55", "translated_description": "Thinking about how many ways we can construct a hand of 9 cards", "image_url": "https://img.youtube.com/vi/SbpoyXTpC84/hqdefault.jpg", "youtube_id": "SbpoyXTpC84", "content_kind": "Video", "readable_id": "permutations-and-combinations-3"}, {"translated_youtube_id": "v9NLtiVt3XY", "relative_url": "/video/permutations-and-combinations-2", "has_questions": false, "keywords": "U12_L2_T3_we2, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-2", "duration": 139, "translated_title": "Example: Ways to pick officers", "translated_description_html": "How many ways can we pick officers for our organization?", "id": "27098", "description_html": "How many ways can we pick officers for our organization?", "title": "Example: Ways to pick officers", "progress_key": "v27098", "edit_slug": "edit/v/27098", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How many ways can we pick officers for our organization?", "extra_properties": null, "node_slug": "v/permutations-and-combinations-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.m3u8/v9NLtiVt3XY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v9NLtiVt3XY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27098", "sha": "8307347fb36b61dded477c6dd5a2eda994bc03d2", "translated_description": "How many ways can we pick officers for our organization?", "image_url": "https://img.youtube.com/vi/v9NLtiVt3XY/hqdefault.jpg", "youtube_id": "v9NLtiVt3XY", "content_kind": "Video", "readable_id": "permutations-and-combinations-2"}], "twitter_url": "", "translated_description": "You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't care what order they are in or how they are posed (okay, of course you care about their awesome poses)?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't care what order they are in or how they are posed (okay, of course you care about their awesome poses)?", "x_pos": 0.0, "node_slug": "permutations_and_combinations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax55fea231", "topic_page_url": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations", "extended_slug": "math/probability/probability-and-combinatorics-topic/permutations_and_combinations", "slug": "permutations_and_combinations", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aa309034d048dbba3257947c2ef3578593bec8db", "standalone_title": "Permutations and combinations", "y_pos": 0.0, "current_revision_key": "aa309034d048dbba3257947c2ef3578593bec8db", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics", "translated_standalone_title": "Probability using combinatorics", "translated_title": "Probability using combinatorics", "gplus_url": "", "id": "xf330a3df", "old_key_name": "KwwTXl-fCZpvZgvAM3wC9OylvZn3nTwKIopo8eGA", "hide": false, "title": "Probability using combinatorics", "child_data": [{"kind": "Video", "id": 27093}, {"kind": "Video", "id": 380860449}, {"kind": "Video", "id": 193210641}, {"kind": "Video", "id": 25853}, {"kind": "Video", "id": 25851}, {"kind": "Video", "id": 193210640}, {"kind": "Video", "id": 27101}, {"kind": "Video", "id": 27102}, {"kind": "Video", "id": 27100}, {"kind": "Video", "id": 690344673}, {"kind": "Video", "id": 193210639}, {"kind": "Video", "id": 25855}, {"kind": "Video", "id": 1317894497}, {"kind": "Video", "id": 25857}, {"kind": "Exercise", "id": 956845911}], "children": [{"translated_youtube_id": "3_otNr9kRuY", "relative_url": "/video/events-and-outcomes-3", "has_questions": false, "keywords": "U12_L2_T1_we3, Events, and, Outcomes, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8", "ka_url": "http://www.khanacademy.org/video/events-and-outcomes-3", "duration": 129, "translated_title": "Example: Probability through counting outcomes", "translated_description_html": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "id": "27093", "description_html": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "title": "Example: Probability through counting outcomes", "progress_key": "v27093", "edit_slug": "edit/v/27093", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "extra_properties": null, "node_slug": "v/events-and-outcomes-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:30:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.mp4/3_otNr9kRuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.mp4/3_otNr9kRuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_otNr9kRuY.m3u8/3_otNr9kRuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_otNr9kRuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27093", "sha": "aacb9fd3e11b9d915b88bfb92cd3056c3ddb19f1", "translated_description": "The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.", "image_url": "https://img.youtube.com/vi/3_otNr9kRuY/hqdefault.jpg", "youtube_id": "3_otNr9kRuY", "content_kind": "Video", "readable_id": "events-and-outcomes-3"}, {"translated_youtube_id": "3UlE8gyKbkU", "relative_url": "/video/coin-flipping-example", "has_questions": false, "keywords": "u08_l4_t1_we3, Coin, Flipping, Example", "ka_url": "http://www.khanacademy.org/video/coin-flipping-example", "duration": 134, "translated_title": "Example: All the ways you can flip a coin", "translated_description_html": "Manually going through the combinatorics to determine the probability of an event occuring", "id": "380860449", "description_html": "Manually going through the combinatorics to determine the probability of an event occuring", "title": "Example: All the ways you can flip a coin", "progress_key": "v380860449", "edit_slug": "edit/v/380860449", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Manually going through the combinatorics to determine the probability of an event occuring", "extra_properties": null, "node_slug": "v/coin-flipping-example", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.mp4/3UlE8gyKbkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.mp4/3UlE8gyKbkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3UlE8gyKbkU.m3u8/3UlE8gyKbkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3UlE8gyKbkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860449", "sha": "af2d880fa1865cf04d2b5f8d59f98f5c59740118", "translated_description": "Manually going through the combinatorics to determine the probability of an event occuring", "image_url": "https://img.youtube.com/vi/3UlE8gyKbkU/hqdefault.jpg", "youtube_id": "3UlE8gyKbkU", "content_kind": "Video", "readable_id": "coin-flipping-example"}, {"translated_youtube_id": "8TIben0bJpU", "relative_url": "/video/getting-exactly-two-heads--combinatorics", "has_questions": false, "keywords": "probability, combinatorics", "ka_url": "http://www.khanacademy.org/video/getting-exactly-two-heads--combinatorics", "duration": 600, "translated_title": "Getting exactly two heads (combinatorics)", "translated_description_html": "A different way to think about the probability of getting 2 heads in 4 flips", "id": "193210641", "description_html": "A different way to think about the probability of getting 2 heads in 4 flips", "title": "Getting exactly two heads (combinatorics)", "progress_key": "v193210641", "edit_slug": "edit/v/193210641", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A different way to think about the probability of getting 2 heads in 4 flips", "extra_properties": null, "node_slug": "v/getting-exactly-two-heads--combinatorics", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.mp4/8TIben0bJpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.mp4/8TIben0bJpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8TIben0bJpU.m3u8/8TIben0bJpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8TIben0bJpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210641", "sha": "82351cea0cf3aa36004a152a629194938c582ab0", "translated_description": "A different way to think about the probability of getting 2 heads in 4 flips", "image_url": "https://img.youtube.com/vi/8TIben0bJpU/hqdefault.jpg", "youtube_id": "8TIben0bJpU", "content_kind": "Video", "readable_id": "getting-exactly-two-heads--combinatorics"}, {"translated_youtube_id": "W7DmsJKLoxc", "relative_url": "/video/probability-and-combinations--part-2", "has_questions": false, "keywords": "probability, combinations, basketball", "ka_url": "http://www.khanacademy.org/video/probability-and-combinations--part-2", "duration": 636, "translated_title": "Probability and combinations (part 2)", "translated_description_html": "Making at least 3 out of 5 free throws.", "id": "25853", "description_html": "Making at least 3 out of 5 free throws.", "title": "Probability and combinations (part 2)", "progress_key": "v25853", "edit_slug": "edit/v/25853", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Making at least 3 out of 5 free throws.", "extra_properties": null, "node_slug": "v/probability-and-combinations--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.m3u8/W7DmsJKLoxc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W7DmsJKLoxc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25853", "sha": "d52c5bae9a341f20f68de527c6d8d219ef053218", "translated_description": "Making at least 3 out of 5 free throws.", "image_url": "https://img.youtube.com/vi/W7DmsJKLoxc/hqdefault.jpg", "youtube_id": "W7DmsJKLoxc", "content_kind": "Video", "readable_id": "probability-and-combinations--part-2"}, {"translated_youtube_id": "Xqfcy1rqMbI", "relative_url": "/video/probability-using-combinations", "has_questions": false, "keywords": "probability, combinations, coin", "ka_url": "http://www.khanacademy.org/video/probability-using-combinations", "duration": 550, "translated_title": "Probability using combinations", "translated_description_html": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "id": "25851", "description_html": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "title": "Probability using combinations", "progress_key": "v25851", "edit_slug": "edit/v/25851", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "extra_properties": null, "node_slug": "v/probability-using-combinations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.mp4/Xqfcy1rqMbI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.mp4/Xqfcy1rqMbI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xqfcy1rqMbI.m3u8/Xqfcy1rqMbI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xqfcy1rqMbI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25851", "sha": "697136f14f5ef3dc170e1eff29dbbf9c5769abae", "translated_description": "Probability of getting exactly 3 heads in 8 flips of a fair coin.", "image_url": "https://img.youtube.com/vi/Xqfcy1rqMbI/hqdefault.jpg", "youtube_id": "Xqfcy1rqMbI", "content_kind": "Video", "readable_id": "probability-using-combinations"}, {"translated_youtube_id": "udG9KhNMKJw", "relative_url": "/video/exactly-three-heads-in-five-flips", "has_questions": false, "keywords": "probability, statistics", "ka_url": "http://www.khanacademy.org/video/exactly-three-heads-in-five-flips", "duration": 411, "translated_title": "Exactly three heads in five flips", "translated_description_html": "Probability of exactly 3 heads in 5 flips using combinations", "id": "193210640", "description_html": "Probability of exactly 3 heads in 5 flips using combinations", "title": "Exactly three heads in five flips", "progress_key": "v193210640", "edit_slug": "edit/v/193210640", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Probability of exactly 3 heads in 5 flips using combinations", "extra_properties": null, "node_slug": "v/exactly-three-heads-in-five-flips", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.mp4/udG9KhNMKJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.mp4/udG9KhNMKJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/udG9KhNMKJw.m3u8/udG9KhNMKJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=udG9KhNMKJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210640", "sha": "bfe6ffcc2557421fadf2d9258993f47ab9c80fc5", "translated_description": "Probability of exactly 3 heads in 5 flips using combinations", "image_url": "https://img.youtube.com/vi/udG9KhNMKJw/hqdefault.jpg", "youtube_id": "udG9KhNMKJw", "content_kind": "Video", "readable_id": "exactly-three-heads-in-five-flips"}, {"translated_youtube_id": "l9ft9jpriNA", "relative_url": "/video/probability-of-dependent-events", "has_questions": false, "keywords": "U12_L2_T4_we2, Probability, of, Dependent, Events, CC_7_SP_7", "ka_url": "http://www.khanacademy.org/video/probability-of-dependent-events", "duration": 143, "translated_title": "Example: Different ways to pick officers", "translated_description_html": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "id": "27101", "description_html": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "title": "Example: Different ways to pick officers", "progress_key": "v27101", "edit_slug": "edit/v/27101", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "extra_properties": null, "node_slug": "v/probability-of-dependent-events", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.mp4/l9ft9jpriNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.mp4/l9ft9jpriNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l9ft9jpriNA.m3u8/l9ft9jpriNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l9ft9jpriNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27101", "sha": "85cae85a071c49fbacfab1dc73786903d837fda3", "translated_description": "Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.", "image_url": "https://img.youtube.com/vi/l9ft9jpriNA/hqdefault.jpg", "youtube_id": "l9ft9jpriNA", "content_kind": "Video", "readable_id": "probability-of-dependent-events"}, {"translated_youtube_id": "ccrYD6iX_SY", "relative_url": "/video/probability-of-dependent-events-2", "has_questions": false, "keywords": "U12_L2_T4_we3, Probability, of, Dependent, Events, CC_7_SP_7", "ka_url": "http://www.khanacademy.org/video/probability-of-dependent-events-2", "duration": 651, "translated_title": "Example: Combinatorics and probability", "translated_description_html": "Probability of getting a set of cards", "id": "27102", "description_html": "Probability of getting a set of cards", "title": "Example: Combinatorics and probability", "progress_key": "v27102", "edit_slug": "edit/v/27102", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of getting a set of cards", "extra_properties": null, "node_slug": "v/probability-of-dependent-events-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.m3u8/ccrYD6iX_SY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ccrYD6iX_SY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27102", "sha": "dc1e181548bbcae16d9af4afdfe29cfae1d30887", "translated_description": "Probability of getting a set of cards", "image_url": "https://img.youtube.com/vi/ccrYD6iX_SY/hqdefault.jpg", "youtube_id": "ccrYD6iX_SY", "content_kind": "Video", "readable_id": "probability-of-dependent-events-2"}, {"translated_youtube_id": "DIjlllgq3dc", "relative_url": "/video/permutations-and-combinations-4", "has_questions": false, "keywords": "U12_L2_T4_we1, Permutations, and, Combinations", "ka_url": "http://www.khanacademy.org/video/permutations-and-combinations-4", "duration": 310, "translated_title": "Example: Lottery probability", "translated_description_html": "What is the probability of winning a 4-number lottery?", "id": "27100", "description_html": "What is the probability of winning a 4-number lottery?", "title": "Example: Lottery probability", "progress_key": "v27100", "edit_slug": "edit/v/27100", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is the probability of winning a 4-number lottery?", "extra_properties": null, "node_slug": "v/permutations-and-combinations-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:30:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.mp4/DIjlllgq3dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.mp4/DIjlllgq3dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DIjlllgq3dc.m3u8/DIjlllgq3dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DIjlllgq3dc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27100", "sha": "879099c946523b9fdb9c2b9ce66bfbb67622872f", "translated_description": "What is the probability of winning a 4-number lottery?", "image_url": "https://img.youtube.com/vi/DIjlllgq3dc/hqdefault.jpg", "youtube_id": "DIjlllgq3dc", "content_kind": "Video", "readable_id": "permutations-and-combinations-4"}, {"translated_youtube_id": "gyqodNhM3EU", "relative_url": "/video/mega-millions-jackpot-probability", "has_questions": false, "keywords": "probability, combinations, choose", "ka_url": "http://www.khanacademy.org/video/mega-millions-jackpot-probability", "duration": 330, "translated_title": "Mega millions jackpot probability", "translated_description_html": "Probability of winning the Mega Millions jackpot", "id": "690344673", "description_html": "Probability of winning the Mega Millions jackpot", "title": "Mega millions jackpot probability", "progress_key": "v690344673", "edit_slug": "edit/v/690344673", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of winning the Mega Millions jackpot", "extra_properties": null, "node_slug": "v/mega-millions-jackpot-probability", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-28T22:36:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.m3u8/gyqodNhM3EU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gyqodNhM3EU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v690344673", "sha": "03940702aa390f09c081cdbc735d12d2c71d32e0", "translated_description": "Probability of winning the Mega Millions jackpot", "image_url": "https://img.youtube.com/vi/gyqodNhM3EU/hqdefault.jpg", "youtube_id": "gyqodNhM3EU", "content_kind": "Video", "readable_id": "mega-millions-jackpot-probability"}, {"translated_youtube_id": "AOsWph2FNLw", "relative_url": "/video/generalizing-with-binomial-coefficients--bit-advanced", "has_questions": false, "keywords": "probability, combinations", "ka_url": "http://www.khanacademy.org/video/generalizing-with-binomial-coefficients--bit-advanced", "duration": 700, "translated_title": "Generalizing with binomial coefficients (bit advanced)", "translated_description_html": "Conceptual understanding of where the formula for binomial coefficients come from", "id": "193210639", "description_html": "Conceptual understanding of where the formula for binomial coefficients come from", "title": "Generalizing with binomial coefficients (bit advanced)", "progress_key": "v193210639", "edit_slug": "edit/v/193210639", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conceptual understanding of where the formula for binomial coefficients come from", "extra_properties": null, "node_slug": "v/generalizing-with-binomial-coefficients--bit-advanced", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-10T18:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.m3u8/AOsWph2FNLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AOsWph2FNLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v193210639", "sha": "6db19ec1364adb9142c79b1ef47d913c6914cdcc", "translated_description": "Conceptual understanding of where the formula for binomial coefficients come from", "image_url": "https://img.youtube.com/vi/AOsWph2FNLw/hqdefault.jpg", "youtube_id": "AOsWph2FNLw", "content_kind": "Video", "readable_id": "generalizing-with-binomial-coefficients--bit-advanced"}, {"translated_youtube_id": "xw6utjoyMi4", "relative_url": "/video/conditional-probability-and-combinations", "has_questions": false, "keywords": "conditional, probability, combinations", "ka_url": "http://www.khanacademy.org/video/conditional-probability-and-combinations", "duration": 1012, "translated_title": "Conditional probability and combinations", "translated_description_html": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "id": "25855", "description_html": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "title": "Conditional probability and combinations", "progress_key": "v25855", "edit_slug": "edit/v/25855", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "extra_properties": null, "node_slug": "v/conditional-probability-and-combinations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.m3u8/xw6utjoyMi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xw6utjoyMi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25855", "sha": "1148f25a90e0ecd8db8951fc7aa1f5240f4a22c9", "translated_description": "Probability that I picked a fair coin given that I flipped 4 out of 6 heads.", "image_url": "https://img.youtube.com/vi/xw6utjoyMi4/hqdefault.jpg", "youtube_id": "xw6utjoyMi4", "content_kind": "Video", "readable_id": "conditional-probability-and-combinations"}, {"translated_youtube_id": "Zxm4Xxvzohk", "relative_url": "/video/bayes-theorem-visualized", "has_questions": false, "keywords": "bayes theorem, conditional probability, probability", "ka_url": "http://www.khanacademy.org/video/bayes-theorem-visualized", "duration": 306, "translated_title": "Conditional probability (Bayes' theorem) visualized", "translated_description_html": "Conditional probability visualized using trees.", "id": "1317894497", "description_html": "Conditional probability visualized using trees.", "title": "Conditional probability (Bayes' theorem) visualized", "progress_key": "v1317894497", "edit_slug": "edit/v/1317894497", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conditional probability visualized using trees.", "extra_properties": {"original_url": ""}, "node_slug": "v/bayes-theorem-visualized", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T07:55:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.m3u8/Zxm4Xxvzohk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zxm4Xxvzohk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1317894497", "sha": "717b4dac747fffac41a778c3b3eecd35ef445603", "translated_description": "Conditional probability visualized using trees.", "image_url": "https://img.youtube.com/vi/Zxm4Xxvzohk/hqdefault.jpg", "youtube_id": "Zxm4Xxvzohk", "content_kind": "Video", "readable_id": "bayes-theorem-visualized"}, {"translated_youtube_id": "9G0w61pZPig", "relative_url": "/video/birthday-probability-problem", "has_questions": false, "keywords": "probability, birthday", "ka_url": "http://www.khanacademy.org/video/birthday-probability-problem", "duration": 796, "translated_title": "Birthday probability problem", "translated_description_html": "The probability that at least 2 people in a room of 30 share the same birthday.", "id": "25857", "description_html": "The probability that at least 2 people in a room of 30 share the same birthday.", "title": "Birthday probability problem", "progress_key": "v25857", "edit_slug": "edit/v/25857", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The probability that at least 2 people in a room of 30 share the same birthday.", "extra_properties": null, "node_slug": "v/birthday-probability-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.mp4/9G0w61pZPig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.mp4/9G0w61pZPig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9G0w61pZPig.m3u8/9G0w61pZPig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9G0w61pZPig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25857", "sha": "dcbe315d133235f502208e41778e1a657229c144", "translated_description": "The probability that at least 2 people in a room of 30 share the same birthday.", "image_url": "https://img.youtube.com/vi/9G0w61pZPig/hqdefault.jpg", "youtube_id": "9G0w61pZPig", "content_kind": "Video", "readable_id": "birthday-probability-problem"}], "twitter_url": "", "translated_description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", "x_pos": 0.0, "node_slug": "probability_combinatorics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-17T14:01:04Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf330a3df", "topic_page_url": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics", "extended_slug": "math/probability/probability-and-combinatorics-topic/probability_combinatorics", "slug": "probability_combinatorics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c2078bdc1b49fb828cdc5c313d31a456bd8e7983", "standalone_title": "Probability using combinatorics", "y_pos": 0.0, "current_revision_key": "c2078bdc1b49fb828cdc5c313d31a456bd8e7983", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Permutations and combinations. Using combinatorics to solve questions in probability.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Permutations and combinations. Using combinatorics to solve questions in probability.", "x_pos": 0.0, "node_slug": "probability-and-combinatorics-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9966d42b", "topic_page_url": "/math/probability/probability-and-combinatorics-topic", "extended_slug": "math/probability/probability-and-combinatorics-topic", "slug": "probability-and-combinatorics-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "31f4b91088a1659ad8a55a5c77a3765edd2cbb6c", "standalone_title": "Probability and combinatorics", "y_pos": 0.0, "current_revision_key": "31f4b91088a1659ad8a55a5c77a3765edd2cbb6c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/random-variables-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/random-variables-topic", "translated_standalone_title": "Random variables and probability distributions", "translated_title": "Random variables and probability distributions", "gplus_url": "", "id": "x99ac8b9e", "old_key_name": "yJft0qf5s2n5Ie4UEx4OL8sPACeQLJAAv-Zox2pF", "hide": false, "title": "Random variables and probability distributions", "child_data": [{"kind": "Topic", "id": "x1642466e"}, {"kind": "Topic", "id": "x0ebf5fd7"}, {"kind": "Topic", "id": "xe6a9bae0"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/random-variables-topic/random_variables_prob_dist", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist", "translated_standalone_title": "Random variables and probability distributions", "translated_title": "Random variables and probability distributions", "gplus_url": "", "id": "x1642466e", "old_key_name": "G73TexVkjfe_9dyLByJ_pkD_77QoF-OV2AIk42Lr", "hide": false, "title": "Random variables and probability distributions", "child_data": [{"kind": "Video", "id": 1203203255}, {"kind": "Video", "id": 1202908818}, {"kind": "Video", "id": 25861}, {"kind": "Video", "id": 25871}, {"kind": "Exercise", "id": 957212277}, {"kind": "Video", "id": 25879}, {"kind": "Video", "id": 65229378}], "children": [{"translated_youtube_id": "3v9w79NhsfI", "relative_url": "/video/random-variables", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/random-variables", "duration": 332, "translated_title": "Random variables", "translated_description_html": "Basic idea and definitions of random variables", "id": "1203203255", "description_html": "Basic idea and definitions of random variables", "title": "Random variables", "progress_key": "v1203203255", "edit_slug": "edit/v/1203203255", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic idea and definitions of random variables", "extra_properties": null, "node_slug": "v/random-variables", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-06T18:18:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3v9w79NhsfI.mp4/3v9w79NhsfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3v9w79NhsfI.mp4/3v9w79NhsfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3v9w79NhsfI.m3u8/3v9w79NhsfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3v9w79NhsfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1203203255", "sha": "583e5eefb6afc652ed11682586a8fb02ed330ac7", "translated_description": "Basic idea and definitions of random variables", "image_url": "https://img.youtube.com/vi/3v9w79NhsfI/hqdefault.jpg", "youtube_id": "3v9w79NhsfI", "content_kind": "Video", "readable_id": "random-variables"}, {"translated_youtube_id": "dOr0NKyD31Q", "relative_url": "/video/discrete-and-continuous-random-variables", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discrete-and-continuous-random-variables", "duration": 717, "translated_title": "Discrete and continuous random variables", "translated_description_html": "Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables.", "id": "1202908818", "description_html": "Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables.", "title": "Discrete and continuous random variables", "progress_key": "v1202908818", "edit_slug": "edit/v/1202908818", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables.", "extra_properties": null, "node_slug": "v/discrete-and-continuous-random-variables", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-06T18:27:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dOr0NKyD31Q.mp4/dOr0NKyD31Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dOr0NKyD31Q.mp4/dOr0NKyD31Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dOr0NKyD31Q.m3u8/dOr0NKyD31Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dOr0NKyD31Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1202908818", "sha": "c66321a7c4531a08e46305629fc6a14ff92205f3", "translated_description": "Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables.", "image_url": "https://img.youtube.com/vi/dOr0NKyD31Q/hqdefault.jpg", "youtube_id": "dOr0NKyD31Q", "content_kind": "Video", "readable_id": "discrete-and-continuous-random-variables"}, {"translated_youtube_id": "Fvi9A_tEmXQ", "relative_url": "/video/probability-density-functions", "has_questions": false, "keywords": "random, variable, continuous, probability, density, function, CC_7_SP_7_b", "ka_url": "http://www.khanacademy.org/video/probability-density-functions", "duration": 602, "translated_title": "Probability density functions", "translated_description_html": "Probability density functions for continuous random variables.", "id": "25861", "description_html": "Probability density functions for continuous random variables.", "title": "Probability density functions", "progress_key": "v25861", "edit_slug": "edit/v/25861", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability density functions for continuous random variables.", "extra_properties": null, "node_slug": "v/probability-density-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Fvi9A_tEmXQ.mp4/Fvi9A_tEmXQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Fvi9A_tEmXQ.mp4/Fvi9A_tEmXQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Fvi9A_tEmXQ.m3u8/Fvi9A_tEmXQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Fvi9A_tEmXQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25861", "sha": "00bc87ab2d289b481855c723906a61dc3b9addf2", "translated_description": "Probability density functions for continuous random variables.", "image_url": "https://img.youtube.com/vi/Fvi9A_tEmXQ/hqdefault.jpg", "youtube_id": "Fvi9A_tEmXQ", "content_kind": "Video", "readable_id": "probability-density-functions"}, {"translated_youtube_id": "j__Kredt7vY", "relative_url": "/video/expected-value--e-x", "has_questions": false, "keywords": "expected, value, E(X), population, mean", "ka_url": "http://www.khanacademy.org/video/expected-value--e-x", "duration": 893, "translated_title": "Expected value: E(X)", "translated_description_html": "Expected value of a random variable", "id": "25871", "description_html": "Expected value of a random variable", "title": "Expected value: E(X)", "progress_key": "v25871", "edit_slug": "edit/v/25871", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Expected value of a random variable", "extra_properties": null, "node_slug": "v/expected-value--e-x", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j__Kredt7vY.mp4/j__Kredt7vY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j__Kredt7vY.mp4/j__Kredt7vY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j__Kredt7vY.m3u8/j__Kredt7vY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j__Kredt7vY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25871", "sha": "b48f06d576f9e76edb26824b3bcfba09b0513fac", "translated_description": "Expected value of a random variable", "image_url": "https://img.youtube.com/vi/j__Kredt7vY/hqdefault.jpg", "youtube_id": "j__Kredt7vY", "content_kind": "Video", "readable_id": "expected-value--e-x"}, {"translated_youtube_id": "VpuN8vCQ--M", "relative_url": "/video/law-of-large-numbers", "has_questions": false, "keywords": "probability, law, of, large, numbers, statistics, CC_6_SP_5_c, CC_7_SP_1, CC_7_SP_2, CC_8_SP_1", "ka_url": "http://www.khanacademy.org/video/law-of-large-numbers", "duration": 539, "translated_title": "Law of large numbers", "translated_description_html": "Introduction to the law of large numbers", "id": "25879", "description_html": "Introduction to the law of large numbers", "title": "Law of large numbers", "progress_key": "v25879", "edit_slug": "edit/v/25879", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the law of large numbers", "extra_properties": null, "node_slug": "v/law-of-large-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VpuN8vCQ--M.mp4/VpuN8vCQ--M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VpuN8vCQ--M.mp4/VpuN8vCQ--M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VpuN8vCQ--M.m3u8/VpuN8vCQ--M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VpuN8vCQ--M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25879", "sha": "934a70526c2391a5800a1d15f9618dd46f13217d", "translated_description": "Introduction to the law of large numbers", "image_url": "https://img.youtube.com/vi/VpuN8vCQ--M/hqdefault.jpg", "youtube_id": "VpuN8vCQ--M", "content_kind": "Video", "readable_id": "law-of-large-numbers"}, {"translated_youtube_id": "NSSoMafbBqQ", "relative_url": "/video/term-life-insurance-and-death-probability", "has_questions": false, "keywords": "term, life, insurance", "ka_url": "http://www.khanacademy.org/video/term-life-insurance-and-death-probability", "duration": 262, "translated_title": "Term life insurance and death probability", "translated_description_html": "Understanding an insurance company's sense of my chances of dying.", "id": "65229378", "description_html": "Understanding an insurance company's sense of my chances of dying.", "title": "Term life insurance and death probability", "progress_key": "v65229378", "edit_slug": "edit/v/65229378", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding an insurance company's sense of my chances of dying.", "extra_properties": null, "node_slug": "v/term-life-insurance-and-death-probability", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.mp4/NSSoMafbBqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.mp4/NSSoMafbBqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.m3u8/NSSoMafbBqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NSSoMafbBqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65229378", "sha": "05679b6d032c9f0e4a5700fe71062b1a7a688314", "translated_description": "Understanding an insurance company's sense of my chances of dying.", "image_url": "https://img.youtube.com/vi/NSSoMafbBqQ/hqdefault.jpg", "youtube_id": "NSSoMafbBqQ", "content_kind": "Video", "readable_id": "term-life-insurance-and-death-probability"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "random_variables_prob_dist", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1642466e", "topic_page_url": "/math/probability/random-variables-topic/random_variables_prob_dist", "extended_slug": "math/probability/random-variables-topic/random_variables_prob_dist", "slug": "random_variables_prob_dist", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f7752dfc2eddf6e4a102af73c6ffb31f1780c80d", "standalone_title": "Random variables and probability distributions", "y_pos": 0.0, "current_revision_key": "f7752dfc2eddf6e4a102af73c6ffb31f1780c80d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/random-variables-topic/binomial_distribution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution", "translated_standalone_title": "Binomial distribution", "translated_title": "Binomial distribution", "gplus_url": "", "id": "x0ebf5fd7", "old_key_name": "acc9dNU-7yOTKarO-KMvbOngTZUeXUGMqeEww--3", "hide": false, "title": "Binomial distribution", "child_data": [{"kind": "Video", "id": 25863}, {"kind": "Video", "id": 25865}, {"kind": "Video", "id": 25867}, {"kind": "Video", "id": 25869}, {"kind": "Video", "id": 25873}, {"kind": "Scratchpad", "id": 1773222582}], "children": [{"translated_youtube_id": "O12yTz_8EOw", "relative_url": "/video/binomial-distribution-1", "has_questions": false, "keywords": "probability, discrete, binomial, distribution", "ka_url": "http://www.khanacademy.org/video/binomial-distribution-1", "duration": 736, "translated_title": "Binomial distribution 1", "translated_description_html": "Introduction to the binomial distribution", "id": "25863", "description_html": "Introduction to the binomial distribution", "title": "Binomial distribution 1", "progress_key": "v25863", "edit_slug": "edit/v/25863", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the binomial distribution", "extra_properties": null, "node_slug": "v/binomial-distribution-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O12yTz_8EOw.mp4/O12yTz_8EOw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O12yTz_8EOw.mp4/O12yTz_8EOw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O12yTz_8EOw.m3u8/O12yTz_8EOw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O12yTz_8EOw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25863", "sha": "a87ad840bacd3c9c25839df700d4ba9e2ff4fc1c", "translated_description": "Introduction to the binomial distribution", "image_url": "https://img.youtube.com/vi/O12yTz_8EOw/hqdefault.jpg", "youtube_id": "O12yTz_8EOw", "content_kind": "Video", "readable_id": "binomial-distribution-1"}, {"translated_youtube_id": "FI8xtVaI068", "relative_url": "/video/binomial-distribution-2", "has_questions": false, "keywords": "probability, binomial, distribution", "ka_url": "http://www.khanacademy.org/video/binomial-distribution-2", "duration": 665, "translated_title": "Binomial distribution 2", "translated_description_html": "More on the binomial distribution", "id": "25865", "description_html": "More on the binomial distribution", "title": "Binomial distribution 2", "progress_key": "v25865", "edit_slug": "edit/v/25865", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the binomial distribution", "extra_properties": null, "node_slug": "v/binomial-distribution-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:52:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FI8xtVaI068.mp4/FI8xtVaI068.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FI8xtVaI068.mp4/FI8xtVaI068.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FI8xtVaI068.m3u8/FI8xtVaI068.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FI8xtVaI068&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25865", "sha": "1a29b80f3b74b071cb6e7be93c934f5d70b9eabd", "translated_description": "More on the binomial distribution", "image_url": "https://img.youtube.com/vi/FI8xtVaI068/hqdefault.jpg", "youtube_id": "FI8xtVaI068", "content_kind": "Video", "readable_id": "binomial-distribution-2"}, {"translated_youtube_id": "vKNpQ_KTXvE", "relative_url": "/video/binomial-distribution-3", "has_questions": false, "keywords": "basketball, binomial, distribution, probability", "ka_url": "http://www.khanacademy.org/video/binomial-distribution-3", "duration": 806, "translated_title": "Binomial distribution 3", "translated_description_html": "Basketball binomial distribution", "id": "25867", "description_html": "Basketball binomial distribution", "title": "Binomial distribution 3", "progress_key": "v25867", "edit_slug": "edit/v/25867", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basketball binomial distribution", "extra_properties": null, "node_slug": "v/binomial-distribution-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vKNpQ_KTXvE.mp4/vKNpQ_KTXvE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vKNpQ_KTXvE.mp4/vKNpQ_KTXvE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vKNpQ_KTXvE.m3u8/vKNpQ_KTXvE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vKNpQ_KTXvE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25867", "sha": "44f89f33d2af19e7f29b57117903789c39df867d", "translated_description": "Basketball binomial distribution", "image_url": "https://img.youtube.com/vi/vKNpQ_KTXvE/hqdefault.jpg", "youtube_id": "vKNpQ_KTXvE", "content_kind": "Video", "readable_id": "binomial-distribution-3"}, {"translated_youtube_id": "H0ZgOGWUcJw", "relative_url": "/video/binomial-distribution-4", "has_questions": false, "keywords": "excel, binomial, distribution, probability", "ka_url": "http://www.khanacademy.org/video/binomial-distribution-4", "duration": 646, "translated_title": "Binomial distribution 4", "translated_description_html": "Using Excel to visualize the basketball binomial distribution", "id": "25869", "description_html": "Using Excel to visualize the basketball binomial distribution", "title": "Binomial distribution 4", "progress_key": "v25869", "edit_slug": "edit/v/25869", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using Excel to visualize the basketball binomial distribution", "extra_properties": null, "node_slug": "v/binomial-distribution-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H0ZgOGWUcJw.mp4/H0ZgOGWUcJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H0ZgOGWUcJw.mp4/H0ZgOGWUcJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H0ZgOGWUcJw.m3u8/H0ZgOGWUcJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H0ZgOGWUcJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25869", "sha": "9d9b2c4c6a810e9ae476a2e3780cb046f44e61b5", "translated_description": "Using Excel to visualize the basketball binomial distribution", "image_url": "https://img.youtube.com/vi/H0ZgOGWUcJw/hqdefault.jpg", "youtube_id": "H0ZgOGWUcJw", "content_kind": "Video", "readable_id": "binomial-distribution-4"}, {"translated_youtube_id": "SqcxYnNlI3Y", "relative_url": "/video/expected-value-of-binomial-distribution", "has_questions": false, "keywords": "expected, value, binomial, distribution, E(x)", "ka_url": "http://www.khanacademy.org/video/expected-value-of-binomial-distribution", "duration": 1015, "translated_title": "Expected value of binomial distribution", "translated_description_html": "Expected value of a binomial distributed random variable", "id": "25873", "description_html": "Expected value of a binomial distributed random variable", "title": "Expected value of binomial distribution", "progress_key": "v25873", "edit_slug": "edit/v/25873", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Expected value of a binomial distributed random variable", "extra_properties": null, "node_slug": "v/expected-value-of-binomial-distribution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SqcxYnNlI3Y.mp4/SqcxYnNlI3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SqcxYnNlI3Y.mp4/SqcxYnNlI3Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SqcxYnNlI3Y.m3u8/SqcxYnNlI3Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SqcxYnNlI3Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25873", "sha": "2ec7f5d308d8a3795459dc922d687d5250465d2f", "translated_description": "Expected value of a binomial distributed random variable", "image_url": "https://img.youtube.com/vi/SqcxYnNlI3Y/hqdefault.jpg", "youtube_id": "SqcxYnNlI3Y", "content_kind": "Video", "readable_id": "expected-value-of-binomial-distribution"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "binomial_distribution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ebf5fd7", "topic_page_url": "/math/probability/random-variables-topic/binomial_distribution", "extended_slug": "math/probability/random-variables-topic/binomial_distribution", "slug": "binomial_distribution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c523dfc32366c0ea3016d212f800158b04ae53a4", "standalone_title": "Binomial distribution", "y_pos": 0.0, "current_revision_key": "c523dfc32366c0ea3016d212f800158b04ae53a4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/random-variables-topic/poisson_process", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/random-variables-topic/poisson_process", "translated_standalone_title": "Poisson process", "translated_title": "Poisson process", "gplus_url": "", "id": "xe6a9bae0", "old_key_name": "43Pt_1rsP2dEJwBqJaf5uI7iWiEJjDTcScv6KiAZ", "hide": false, "title": "Poisson process", "child_data": [{"kind": "Video", "id": 25875}, {"kind": "Video", "id": 25877}], "children": [{"translated_youtube_id": "3z-M6sbGIZ0", "relative_url": "/video/poisson-process-1", "has_questions": false, "keywords": "probability, poisson, process, distribution", "ka_url": "http://www.khanacademy.org/video/poisson-process-1", "duration": 661, "translated_title": "Poisson process 1", "translated_description_html": "Introduction to Poisson Processes and the Poisson Distribution.", "id": "25875", "description_html": "Introduction to Poisson Processes and the Poisson Distribution.", "title": "Poisson process 1", "progress_key": "v25875", "edit_slug": "edit/v/25875", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Poisson Processes and the Poisson Distribution.", "extra_properties": null, "node_slug": "v/poisson-process-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3z-M6sbGIZ0.mp4/3z-M6sbGIZ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3z-M6sbGIZ0.mp4/3z-M6sbGIZ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3z-M6sbGIZ0.m3u8/3z-M6sbGIZ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3z-M6sbGIZ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25875", "sha": "60ba32c580b687c7a5555664a25b81c20fa84d67", "translated_description": "Introduction to Poisson Processes and the Poisson Distribution.", "image_url": "https://img.youtube.com/vi/3z-M6sbGIZ0/hqdefault.jpg", "youtube_id": "3z-M6sbGIZ0", "content_kind": "Video", "readable_id": "poisson-process-1"}, {"translated_youtube_id": "Jkr4FSrNEVY", "relative_url": "/video/poisson-process-2", "has_questions": false, "keywords": "probability, poisson, process, distribution", "ka_url": "http://www.khanacademy.org/video/poisson-process-2", "duration": 761, "translated_title": "Poisson process 2", "translated_description_html": "More of the derivation of the Poisson Distribution.", "id": "25877", "description_html": "More of the derivation of the Poisson Distribution.", "title": "Poisson process 2", "progress_key": "v25877", "edit_slug": "edit/v/25877", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More of the derivation of the Poisson Distribution.", "extra_properties": null, "node_slug": "v/poisson-process-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jkr4FSrNEVY.mp4/Jkr4FSrNEVY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jkr4FSrNEVY.mp4/Jkr4FSrNEVY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jkr4FSrNEVY.m3u8/Jkr4FSrNEVY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jkr4FSrNEVY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25877", "sha": "8ea0ef89895d70840973ba36ff858df3c3a55b6f", "translated_description": "More of the derivation of the Poisson Distribution.", "image_url": "https://img.youtube.com/vi/Jkr4FSrNEVY/hqdefault.jpg", "youtube_id": "Jkr4FSrNEVY", "content_kind": "Video", "readable_id": "poisson-process-2"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "poisson_process", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe6a9bae0", "topic_page_url": "/math/probability/random-variables-topic/poisson_process", "extended_slug": "math/probability/random-variables-topic/poisson_process", "slug": "poisson_process", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c760c5c4f8e16bfba13f71dbc5c9fff4aa9f6dfd", "standalone_title": "Poisson process", "y_pos": 0.0, "current_revision_key": "c760c5c4f8e16bfba13f71dbc5c9fff4aa9f6dfd", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.", "x_pos": 0.0, "node_slug": "random-variables-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax99ac8b9e", "topic_page_url": "/math/probability/random-variables-topic", "extended_slug": "math/probability/random-variables-topic", "slug": "random-variables-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4f1ea9d13747835d97d4797595a4f47257b2966c", "standalone_title": "Random variables and probability distributions", "y_pos": 0.0, "current_revision_key": "4f1ea9d13747835d97d4797595a4f47257b2966c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/descriptive-statistics", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/descriptive-statistics", "translated_standalone_title": "Descriptive statistics", "translated_title": "Descriptive statistics", "gplus_url": "", "id": "x7c5c47ff", "old_key_name": "F6HMxt5WIsTwuZg55JwqD8vSeWOzgL7KXF6gwb_L", "hide": false, "title": "Descriptive statistics", "child_data": [{"kind": "Topic", "id": "xa63e1249"}, {"kind": "Topic", "id": "x7b6c9cd0"}, {"kind": "Topic", "id": "x0393489f"}, {"kind": "Topic", "id": "x6c7c7271"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/descriptive-statistics/central_tendency", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency", "translated_standalone_title": "Measures of central tendency", "translated_title": "Measures of central tendency", "gplus_url": "", "id": "xa63e1249", "old_key_name": "EtQUwqg54CIHcQOsZdhQbBhPkeszQPKSy26djor8", "hide": false, "title": "Measures of central tendency", "child_data": [{"kind": "Video", "id": 1152738250}, {"kind": "Video", "id": 380854779}, {"kind": "Exercise", "id": 5252991}, {"kind": "Video", "id": 1254186879}, {"kind": "Exercise", "id": 366693151}, {"kind": "Exercise", "id": 2017}, {"kind": "Video", "id": 26173}], "children": [{"translated_youtube_id": "h8EYEJ32oQ8", "relative_url": "/video/statistics-intro--mean--median-and-mode", "has_questions": false, "keywords": "mean, median, mode", "ka_url": "http://www.khanacademy.org/video/statistics-intro--mean--median-and-mode", "duration": 534, "translated_title": "Statistics intro: Mean, median and mode", "translated_description_html": "Using the mean, median and mode to try to represent data", "id": "1152738250", "description_html": "Using the mean, median and mode to try to represent data", "title": "Statistics intro: Mean, median and mode", "progress_key": "v1152738250", "edit_slug": "edit/v/1152738250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the mean, median and mode to try to represent data", "extra_properties": null, "node_slug": "v/statistics-intro--mean--median-and-mode", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-16T15:16:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.mp4/h8EYEJ32oQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h8EYEJ32oQ8.m3u8/h8EYEJ32oQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h8EYEJ32oQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1152738250", "sha": "25692621c79e03cb51a7ee96784a6b01e970f976", "translated_description": "Using the mean, median and mode to try to represent data", "image_url": "https://img.youtube.com/vi/h8EYEJ32oQ8/hqdefault.jpg", "youtube_id": "h8EYEJ32oQ8", "content_kind": "Video", "readable_id": "statistics-intro--mean--median-and-mode"}, {"translated_youtube_id": "k3aKKasOmIw", "relative_url": "/video/mean-median-and-mode", "has_questions": false, "keywords": "u08_l2_t1_we1, Mean, Median, and, Mode", "ka_url": "http://www.khanacademy.org/video/mean-median-and-mode", "duration": 235, "translated_title": "Example: Finding mean, median and mode", "translated_description_html": "Mean Median and Mode", "id": "380854779", "description_html": "Mean Median and Mode", "title": "Example: Finding mean, median and mode", "progress_key": "v380854779", "edit_slug": "edit/v/380854779", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mean Median and Mode", "extra_properties": null, "node_slug": "v/mean-median-and-mode", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.m3u8/k3aKKasOmIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3aKKasOmIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854779", "sha": "05d4aebed8684e6a2a74dd3e6ba58999122cc778", "translated_description": "Mean Median and Mode", "image_url": "https://img.youtube.com/vi/k3aKKasOmIw/hqdefault.jpg", "youtube_id": "k3aKKasOmIw", "content_kind": "Video", "readable_id": "mean-median-and-mode"}, {"translated_youtube_id": "n6xCyzOP900", "relative_url": "/video/exploring-mean-and-median-module", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/exploring-mean-and-median-module", "duration": 326, "translated_title": "Exploring mean and median module", "translated_description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "id": "1254186879", "description_html": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "title": "Exploring mean and median module", "progress_key": "v1254186879", "edit_slug": "edit/v/1254186879", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "extra_properties": null, "node_slug": "v/exploring-mean-and-median-module", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-12-29T01:52:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.mp4/n6xCyzOP900.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n6xCyzOP900.m3u8/n6xCyzOP900.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n6xCyzOP900&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254186879", "sha": "02a6ddf225eba922402581e03d43e8864616f6fa", "translated_description": "Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median", "image_url": "https://img.youtube.com/vi/n6xCyzOP900/hqdefault.jpg", "youtube_id": "n6xCyzOP900", "content_kind": "Video", "readable_id": "exploring-mean-and-median-module"}, {"translated_youtube_id": "k5EbijWu-Ss", "relative_url": "/video/statistics--sample-vs--population-mean", "has_questions": false, "keywords": "statistics, sample, population, average, mean, parameter, statistic, CC_6_SP_3, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/statistics--sample-vs--population-mean", "duration": 603, "translated_title": "Sample mean versus population mean", "translated_description_html": "

The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.<\/p>", "id": "26173", "description_html": "

The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.<\/p>", "title": "Sample mean versus population mean", "progress_key": "v26173", "edit_slug": "edit/v/26173", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.", "extra_properties": {}, "node_slug": "v/statistics--sample-vs--population-mean", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.m3u8/k5EbijWu-Ss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k5EbijWu-Ss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26173", "sha": "712c85d9ba4c39fa339dbe2b5dce6d4c3cd1c405", "translated_description": "The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.", "image_url": "https://img.youtube.com/vi/k5EbijWu-Ss/hqdefault.jpg", "youtube_id": "k5EbijWu-Ss", "content_kind": "Video", "readable_id": "statistics--sample-vs--population-mean"}], "twitter_url": "", "translated_description": "This is the foundational tutorial for the rest of statistics. We start thinking about how you can represent a set of numbers with one number that somehow represents the \"center\". We then talk about the differences between populations, samples, parameters and statistics.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is the foundational tutorial for the rest of statistics. We start thinking about how you can represent a set of numbers with one number that somehow represents the \"center\". We then talk about the differences between populations, samples, parameters and statistics.", "x_pos": 0.0, "node_slug": "central_tendency", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa63e1249", "topic_page_url": "/math/probability/descriptive-statistics/central_tendency", "extended_slug": "math/probability/descriptive-statistics/central_tendency", "slug": "central_tendency", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "08cccaa7a9fb1db4cb55cd2aed4eb4ebd9934a69", "standalone_title": "Measures of central tendency", "y_pos": 0.0, "current_revision_key": "08cccaa7a9fb1db4cb55cd2aed4eb4ebd9934a69", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/descriptive-statistics/Box-and-whisker plots", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/descriptive-statistics/Box-and-whisker plots", "translated_standalone_title": "Box-and-whisker plots", "translated_title": "Box-and-whisker plots", "gplus_url": "", "id": "x7b6c9cd0", "old_key_name": "GxdTCfhzPOD3h9hObFdAOPTH8OInL-NcD4_8ihtq", "hide": false, "title": "Box-and-whisker plots", "child_data": [{"kind": "Video", "id": 380860448}, {"kind": "Video", "id": 1164226773}, {"kind": "Video", "id": 380873090}, {"kind": "Exercise", "id": 458480641}, {"kind": "Video", "id": 380854781}], "children": [{"translated_youtube_id": "b2C9I8HuCe4", "relative_url": "/video/reading-box-and-whisker-plots", "has_questions": false, "keywords": "u08_l2_t1_we4, Reading, Box-and-Whisker, Plots", "ka_url": "http://www.khanacademy.org/video/reading-box-and-whisker-plots", "duration": 198, "translated_title": "Reading box-and-whisker plots", "translated_description_html": "Reading Box-and-Whisker Plots", "id": "380860448", "description_html": "Reading Box-and-Whisker Plots", "title": "Reading box-and-whisker plots", "progress_key": "v380860448", "edit_slug": "edit/v/380860448", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reading Box-and-Whisker Plots", "extra_properties": null, "node_slug": "v/reading-box-and-whisker-plots", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.m3u8/b2C9I8HuCe4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b2C9I8HuCe4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380860448", "sha": "5149373a67f9e53bfecb2d81fe3519ea35e3c41f", "translated_description": "Reading Box-and-Whisker Plots", "image_url": "https://img.youtube.com/vi/b2C9I8HuCe4/hqdefault.jpg", "youtube_id": "b2C9I8HuCe4", "content_kind": "Video", "readable_id": "reading-box-and-whisker-plots"}, {"translated_youtube_id": "09Cx7xuIXig", "relative_url": "/video/constructing-a-box-and-whisker-plot", "has_questions": false, "keywords": "box, whisker, plot", "ka_url": "http://www.khanacademy.org/video/constructing-a-box-and-whisker-plot", "duration": 498, "translated_title": "Constructing a box-and-whisker plot", "translated_description_html": "Constructing a box and whisker plot to analyze data.", "id": "1164226773", "description_html": "Constructing a box and whisker plot to analyze data.", "title": "Constructing a box-and-whisker plot", "progress_key": "v1164226773", "edit_slug": "edit/v/1164226773", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Constructing a box and whisker plot to analyze data.", "extra_properties": null, "node_slug": "v/constructing-a-box-and-whisker-plot", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-21T21:16:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.m3u8/09Cx7xuIXig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=09Cx7xuIXig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164226773", "sha": "430e84f13741bef794746da8a624f2a4f93564c7", "translated_description": "Constructing a box and whisker plot to analyze data.", "image_url": "https://img.youtube.com/vi/09Cx7xuIXig/hqdefault.jpg", "youtube_id": "09Cx7xuIXig", "content_kind": "Video", "readable_id": "constructing-a-box-and-whisker-plot"}, {"translated_youtube_id": "-M0Fi0ijnJs", "relative_url": "/video/box-and-whisker-plots", "has_questions": false, "keywords": "u08_l3_t1_we1, Box-and-Whisker, Plots", "ka_url": "http://www.khanacademy.org/video/box-and-whisker-plots", "duration": 605, "translated_title": "Box-and-whisker plots", "translated_description_html": "Box-and-Whisker Plots", "id": "380873090", "description_html": "Box-and-Whisker Plots", "title": "Box-and-whisker plots", "progress_key": "v380873090", "edit_slug": "edit/v/380873090", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Box-and-Whisker Plots", "extra_properties": null, "node_slug": "v/box-and-whisker-plots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.mp4/-M0Fi0ijnJs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.mp4/-M0Fi0ijnJs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-M0Fi0ijnJs.m3u8/-M0Fi0ijnJs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-M0Fi0ijnJs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380873090", "sha": "a41ba2df0b14d2fbc9591dcc3dc35785be082746", "translated_description": "Box-and-Whisker Plots", "image_url": "https://img.youtube.com/vi/-M0Fi0ijnJs/hqdefault.jpg", "youtube_id": "-M0Fi0ijnJs", "content_kind": "Video", "readable_id": "box-and-whisker-plots"}, {"translated_youtube_id": "7DtWXEPB_AI", "relative_url": "/video/range-and-mid-range", "has_questions": false, "keywords": "u08_l2_t1_we2, Range, and, Mid-range", "ka_url": "http://www.khanacademy.org/video/range-and-mid-range", "duration": 123, "translated_title": "Example: Range and mid-range", "translated_description_html": "Range and Mid-range", "id": "380854781", "description_html": "Range and Mid-range", "title": "Example: Range and mid-range", "progress_key": "v380854781", "edit_slug": "edit/v/380854781", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Range and Mid-range", "extra_properties": null, "node_slug": "v/range-and-mid-range", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-15T11:00:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.m3u8/7DtWXEPB_AI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7DtWXEPB_AI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v380854781", "sha": "d0b426e433dda9d1a7488d8d9aec6d50a17986a1", "translated_description": "Range and Mid-range", "image_url": "https://img.youtube.com/vi/7DtWXEPB_AI/hqdefault.jpg", "youtube_id": "7DtWXEPB_AI", "content_kind": "Video", "readable_id": "range-and-mid-range"}], "twitter_url": "", "translated_description": "Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. We'd consider this tutorial very optional, but it is a good application of dealing with medians and ranges.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. We'd consider this tutorial very optional, but it is a good application of dealing with medians and ranges.", "x_pos": 0.0, "node_slug": "Box-and-whisker plots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7b6c9cd0", "topic_page_url": "/math/probability/descriptive-statistics/Box-and-whisker plots", "extended_slug": "math/probability/descriptive-statistics/Box-and-whisker plots", "slug": "Box-and-whisker plots", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b7d00928befa861fb81e56cc89c2758cd33c7c16", "standalone_title": "Box-and-whisker plots", "y_pos": 0.0, "current_revision_key": "b7d00928befa861fb81e56cc89c2758cd33c7c16", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/descriptive-statistics/variance_std_deviation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation", "translated_standalone_title": "Variance and standard deviation", "translated_title": "Variance and standard deviation", "gplus_url": "", "id": "x0393489f", "old_key_name": "LNo92bdzmCfHoEc1o1qKP-IMZCzoI-Sa9qsGMP6n", "hide": false, "title": "Variance and standard deviation", "child_data": [{"kind": "Video", "id": 23764}, {"kind": "Video", "id": 1162004491}, {"kind": "Video", "id": 1163970906}, {"kind": "Video", "id": 1164004886}, {"kind": "Video", "id": 1174647817}, {"kind": "Scratchpad", "id": 1169428428}, {"kind": "Video", "id": 1174713420}, {"kind": "Video", "id": 1174782081}, {"kind": "Scratchpad", "id": 1167579097}, {"kind": "Exercise", "id": 568800448}, {"kind": "Video", "id": "x4a3e3b6e"}, {"kind": "Video", "id": "x6ad248d1"}, {"kind": "Video", "id": 26179}, {"kind": "Video", "id": 1254739414}, {"kind": "Exercise", "id": 520615080}, {"kind": "Exercise", "id": 520603178}, {"kind": "Video", "id": 26181}], "children": [{"translated_youtube_id": "E4HAYd0QnRc", "relative_url": "/video/range--variance-and-standard-deviation-as-measures-of-dispersion", "has_questions": false, "keywords": "Range, Variance, and, Standard, Deviation, CC_6_SP_5_c", "ka_url": "http://www.khanacademy.org/video/range--variance-and-standard-deviation-as-measures-of-dispersion", "duration": 754, "translated_title": "Range, variance and standard deviation as measures of dispersion", "translated_description_html": "", "id": "23764", "description_html": "", "title": "Range, variance and standard deviation as measures of dispersion", "progress_key": "v23764", "edit_slug": "edit/v/23764", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-19T17:19:40Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/range--variance-and-standard-deviation-as-measures-of-dispersion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E4HAYd0QnRc.mp4/E4HAYd0QnRc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E4HAYd0QnRc.mp4/E4HAYd0QnRc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E4HAYd0QnRc.m3u8/E4HAYd0QnRc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E4HAYd0QnRc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23764", "sha": "6365a9e28f0644a2c1b8d977f1cdaf09bd250f73", "translated_description": "", "image_url": "https://img.youtube.com/vi/E4HAYd0QnRc/hqdefault.jpg", "youtube_id": "E4HAYd0QnRc", "content_kind": "Video", "readable_id": "range--variance-and-standard-deviation-as-measures-of-dispersion"}, {"translated_youtube_id": "dvoHB9djouc", "relative_url": "/video/variance-of-a-population", "has_questions": false, "keywords": "variance, standard deviation, population, mean, parameter", "ka_url": "http://www.khanacademy.org/video/variance-of-a-population", "duration": 485, "translated_title": "Variance of a population", "translated_description_html": "Variance as a measure of, on average, how far the data points in a population are from the population mean", "id": "1162004491", "description_html": "Variance as a measure of, on average, how far the data points in a population are from the population mean", "title": "Variance of a population", "progress_key": "v1162004491", "edit_slug": "edit/v/1162004491", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Variance as a measure of, on average, how far the data points in a population are from the population mean", "extra_properties": null, "node_slug": "v/variance-of-a-population", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-20T17:19:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.mp4/dvoHB9djouc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.mp4/dvoHB9djouc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.m3u8/dvoHB9djouc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dvoHB9djouc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1162004491", "sha": "895afd64eebee85c769a3919ee641cb8589358c3", "translated_description": "Variance as a measure of, on average, how far the data points in a population are from the population mean", "image_url": "https://img.youtube.com/vi/dvoHB9djouc/hqdefault.jpg", "youtube_id": "dvoHB9djouc", "content_kind": "Video", "readable_id": "variance-of-a-population"}, {"translated_youtube_id": "iHXdzfF7UEs", "relative_url": "/video/sample-variance", "has_questions": false, "keywords": "sample variance, unbiased estimator, statistics", "ka_url": "http://www.khanacademy.org/video/sample-variance", "duration": 638, "translated_title": "Sample variance", "translated_description_html": "Thinking about how we can estimate the variance of a population by looking at the data in a sample.", "id": "1163970906", "description_html": "Thinking about how we can estimate the variance of a population by looking at the data in a sample.", "title": "Sample variance", "progress_key": "v1163970906", "edit_slug": "edit/v/1163970906", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about how we can estimate the variance of a population by looking at the data in a sample.", "extra_properties": null, "node_slug": "v/sample-variance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-21T18:50:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.m3u8/iHXdzfF7UEs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iHXdzfF7UEs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1163970906", "sha": "18fbfb83b7e5b60497dab6b146a0c87ed7e742fa", "translated_description": "Thinking about how we can estimate the variance of a population by looking at the data in a sample.", "image_url": "https://img.youtube.com/vi/iHXdzfF7UEs/hqdefault.jpg", "youtube_id": "iHXdzfF7UEs", "content_kind": "Video", "readable_id": "sample-variance"}, {"translated_youtube_id": "KkaU2ur3Ymw", "relative_url": "/video/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance", "has_questions": false, "keywords": "intuition, unbiased estimator, sample variance, statistics", "ka_url": "http://www.khanacademy.org/video/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance", "duration": 584, "translated_title": "Review and intuition why we divide by n-1 for the unbiased sample variance", "translated_description_html": "Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance", "id": "1164004886", "description_html": "Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance", "title": "Review and intuition why we divide by n-1 for the unbiased sample variance", "progress_key": "v1164004886", "edit_slug": "edit/v/1164004886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance", "extra_properties": null, "node_slug": "v/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-21T18:53:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.mp4/KkaU2ur3Ymw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.mp4/KkaU2ur3Ymw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.m3u8/KkaU2ur3Ymw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KkaU2ur3Ymw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164004886", "sha": "2dc2f743797d7b500af2c3ef5fc31a6facbf0c16", "translated_description": "Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance", "image_url": "https://img.youtube.com/vi/KkaU2ur3Ymw/hqdefault.jpg", "youtube_id": "KkaU2ur3Ymw", "content_kind": "Video", "readable_id": "review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance"}, {"translated_youtube_id": "Cn0skMJ2F3c", "relative_url": "/video/simulation-showing-bias-in-sample-variance", "has_questions": false, "keywords": "sample variance biased unbiased", "ka_url": "http://www.khanacademy.org/video/simulation-showing-bias-in-sample-variance", "duration": 384, "translated_title": "Simulation showing bias in sample variance", "translated_description_html": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", "id": "1174647817", "description_html": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", "title": "Simulation showing bias in sample variance", "progress_key": "v1174647817", "edit_slug": "edit/v/1174647817", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", "extra_properties": null, "node_slug": "v/simulation-showing-bias-in-sample-variance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-27T00:17:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.m3u8/Cn0skMJ2F3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Cn0skMJ2F3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174647817", "sha": "0720df2f8c4cc6fbc4e3195e18de04bb29e004da", "translated_description": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", "image_url": "https://img.youtube.com/vi/Cn0skMJ2F3c/hqdefault.jpg", "youtube_id": "Cn0skMJ2F3c", "content_kind": "Video", "readable_id": "simulation-showing-bias-in-sample-variance"}, {"translated_youtube_id": "F2mfEldxsPI", "relative_url": "/video/another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance", "duration": 286, "translated_title": "Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance", "translated_description_html": "Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164", "id": "1174713420", "description_html": "Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164", "title": "Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance", "progress_key": "v1174713420", "edit_slug": "edit/v/1174713420", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164", "extra_properties": null, "node_slug": "v/another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-27T00:22:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.mp4/F2mfEldxsPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.mp4/F2mfEldxsPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.m3u8/F2mfEldxsPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F2mfEldxsPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174713420", "sha": "6a056089819951e7487722d9c967bf955a1830a6", "translated_description": "Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164", "image_url": "https://img.youtube.com/vi/F2mfEldxsPI/hqdefault.jpg", "youtube_id": "F2mfEldxsPI", "content_kind": "Video", "readable_id": "another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance"}, {"translated_youtube_id": "0QS4VHPV4JA", "relative_url": "/video/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate", "has_questions": false, "keywords": "sample variance, biased, unbiased", "ka_url": "http://www.khanacademy.org/video/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate", "duration": 270, "translated_title": "Simulation providing evidence that (n-1) gives us unbiased estimate", "translated_description_html": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", "id": "1174782081", "description_html": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", "title": "Simulation providing evidence that (n-1) gives us unbiased estimate", "progress_key": "v1174782081", "edit_slug": "edit/v/1174782081", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", "extra_properties": null, "node_slug": "v/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-27T00:19:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.m3u8/0QS4VHPV4JA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0QS4VHPV4JA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174782081", "sha": "7ed2857821b1d6522e82889e8f720b944c24a7e6", "translated_description": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", "image_url": "https://img.youtube.com/vi/0QS4VHPV4JA/hqdefault.jpg", "youtube_id": "0QS4VHPV4JA", "content_kind": "Video", "readable_id": "simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate"}, {"translated_youtube_id": "PWiWkqHmum0", "relative_url": "/video/population-standard-deviation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/population-standard-deviation", "duration": 485, "translated_title": "Population standard deviation", "translated_description_html": "", "id": "x4a3e3b6e", "description_html": "", "title": "Population standard deviation", "progress_key": "vx4a3e3b6e", "edit_slug": "edit/v/x4a3e3b6e", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/population-standard-deviation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PWiWkqHmum0.mp4/PWiWkqHmum0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PWiWkqHmum0.mp4/PWiWkqHmum0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PWiWkqHmum0.m3u8/PWiWkqHmum0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PWiWkqHmum0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4a3e3b6e", "sha": "271923a49d46fd60e57a8dd68a5a169351b5fc9d", "translated_description": "", "image_url": "https://img.youtube.com/vi/PWiWkqHmum0/hqdefault.jpg", "youtube_id": "PWiWkqHmum0", "content_kind": "Video", "readable_id": "population-standard-deviation"}, {"translated_youtube_id": "DNAnQBhGpRw", "relative_url": "/video/sample-standard-deviation-and-bias", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sample-standard-deviation-and-bias", "duration": 573, "translated_title": "Sample standard deviation and bias", "translated_description_html": "", "id": "x6ad248d1", "description_html": "", "title": "Sample standard deviation and bias", "progress_key": "vx6ad248d1", "edit_slug": "edit/v/x6ad248d1", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sample-standard-deviation-and-bias", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T04:38:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DNAnQBhGpRw.mp4/DNAnQBhGpRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DNAnQBhGpRw.mp4/DNAnQBhGpRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DNAnQBhGpRw.m3u8/DNAnQBhGpRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DNAnQBhGpRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6ad248d1", "sha": "24f9e7751c0279b1ec07d1c6033a641703958877", "translated_description": "", "image_url": "https://img.youtube.com/vi/DNAnQBhGpRw/hqdefault.jpg", "youtube_id": "DNAnQBhGpRw", "content_kind": "Video", "readable_id": "sample-standard-deviation-and-bias"}, {"translated_youtube_id": "HvDqbzu0i0E", "relative_url": "/video/statistics--standard-deviation", "has_questions": false, "keywords": "statistics, standard, deviation, variance, CC_6_SP_5_a", "ka_url": "http://www.khanacademy.org/video/statistics--standard-deviation", "duration": 787, "translated_title": "Statistics: Standard deviation", "translated_description_html": "Review of what we've learned. Introduction to the standard deviation.", "id": "26179", "description_html": "Review of what we've learned. Introduction to the standard deviation.", "title": "Statistics: Standard deviation", "progress_key": "v26179", "edit_slug": "edit/v/26179", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Review of what we've learned. Introduction to the standard deviation.", "extra_properties": null, "node_slug": "v/statistics--standard-deviation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HvDqbzu0i0E.mp4/HvDqbzu0i0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HvDqbzu0i0E.mp4/HvDqbzu0i0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HvDqbzu0i0E.m3u8/HvDqbzu0i0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HvDqbzu0i0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26179", "sha": "c6598914e03f6b940de094fc455a6b4280b7f211", "translated_description": "Review of what we've learned. Introduction to the standard deviation.", "image_url": "https://img.youtube.com/vi/HvDqbzu0i0E/hqdefault.jpg", "youtube_id": "HvDqbzu0i0E", "content_kind": "Video", "readable_id": "statistics--standard-deviation"}, {"translated_youtube_id": "4kA-IOFwUN4", "relative_url": "/video/exploring-standard-deviation-1-module", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/exploring-standard-deviation-1-module", "duration": 238, "translated_title": "Exploring standard deviation 1 module", "translated_description_html": "Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1", "id": "1254739414", "description_html": "Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1", "title": "Exploring standard deviation 1 module", "progress_key": "v1254739414", "edit_slug": "edit/v/1254739414", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1", "extra_properties": null, "node_slug": "v/exploring-standard-deviation-1-module", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-29T01:53:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4kA-IOFwUN4.mp4/4kA-IOFwUN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4kA-IOFwUN4.mp4/4kA-IOFwUN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4kA-IOFwUN4.m3u8/4kA-IOFwUN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4kA-IOFwUN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1254739414", "sha": "44bd6fb31ac1e6041c7ee1d908aa6301568fd11a", "translated_description": "Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1", "image_url": "https://img.youtube.com/vi/4kA-IOFwUN4/hqdefault.jpg", "youtube_id": "4kA-IOFwUN4", "content_kind": "Video", "readable_id": "exploring-standard-deviation-1-module"}, {"translated_youtube_id": "sRVGcYGjUk8", "relative_url": "/video/statistics--alternate-variance-formulas", "has_questions": false, "keywords": "variance, statistics, population, CC_6_SP_3, CC_6_SP_4, CC_6_SP_5_c", "ka_url": "http://www.khanacademy.org/video/statistics--alternate-variance-formulas", "duration": 737, "translated_title": "Statistics: Alternate variance formulas", "translated_description_html": "Playing with the formula for variance of a population.", "id": "26181", "description_html": "Playing with the formula for variance of a population.", "title": "Statistics: Alternate variance formulas", "progress_key": "v26181", "edit_slug": "edit/v/26181", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Playing with the formula for variance of a population.", "extra_properties": null, "node_slug": "v/statistics--alternate-variance-formulas", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sRVGcYGjUk8.mp4/sRVGcYGjUk8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sRVGcYGjUk8.mp4/sRVGcYGjUk8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sRVGcYGjUk8.m3u8/sRVGcYGjUk8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sRVGcYGjUk8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26181", "sha": "750e3f676924974f569754e619d668b7f6b3b081", "translated_description": "Playing with the formula for variance of a population.", "image_url": "https://img.youtube.com/vi/sRVGcYGjUk8/hqdefault.jpg", "youtube_id": "sRVGcYGjUk8", "content_kind": "Video", "readable_id": "statistics--alternate-variance-formulas"}], "twitter_url": "", "translated_description": "We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency. In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency. In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this.", "x_pos": 0.0, "node_slug": "variance_std_deviation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-02T04:41:31Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0393489f", "topic_page_url": "/math/probability/descriptive-statistics/variance_std_deviation", "extended_slug": "math/probability/descriptive-statistics/variance_std_deviation", "slug": "variance_std_deviation", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "baddacdcad8867d0a9c463630f79b4fc17beaeec", "standalone_title": "Variance and standard deviation", "y_pos": 0.0, "current_revision_key": "baddacdcad8867d0a9c463630f79b4fc17beaeec", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/descriptive-statistics/old-stats-videos", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos", "translated_standalone_title": "Sal's old statistics videos", "translated_title": "Sal's old statistics videos", "gplus_url": "", "id": "x6c7c7271", "old_key_name": "ksFrm8NM45JeUYfQud0Xtnud3d-XVGfP3kkkQ6W9", "hide": false, "title": "Sal's old statistics videos", "child_data": [{"kind": "Video", "id": 26171}, {"kind": "Video", "id": 26175}, {"kind": "Video", "id": 26177}], "children": [{"translated_youtube_id": "uhxtUt_-GyM", "relative_url": "/video/statistics--the-average", "has_questions": false, "keywords": "statistics, mean, median, mode, central, tendency, average, CC_6_SP_1, CC_6_SP_2, CC_6_SP_3, CC_6_SP_5_c, CC_7_SP_1", "ka_url": "http://www.khanacademy.org/video/statistics--the-average", "duration": 755, "translated_title": "Statistics: The average", "translated_description_html": "Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode", "id": "26171", "description_html": "Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode", "title": "Statistics: The average", "progress_key": "v26171", "edit_slug": "edit/v/26171", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode", "extra_properties": null, "node_slug": "v/statistics--the-average", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.mp4/uhxtUt_-GyM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.mp4/uhxtUt_-GyM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.m3u8/uhxtUt_-GyM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uhxtUt_-GyM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26171", "sha": "e2f9c13a3bf36526cf56244772614331aef04333", "translated_description": "Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode", "image_url": "https://img.youtube.com/vi/uhxtUt_-GyM/hqdefault.jpg", "youtube_id": "uhxtUt_-GyM", "content_kind": "Video", "readable_id": "statistics--the-average"}, {"translated_youtube_id": "6JFzI1DDyyk", "relative_url": "/video/statistics--variance-of-a-population", "has_questions": false, "keywords": "statistics, variance, standard, deviation, population, CC_6_SP_3, CC_6_SP_5_c, CC_7_SP_1", "ka_url": "http://www.khanacademy.org/video/statistics--variance-of-a-population", "duration": 743, "translated_title": "Statistics: Variance of a population", "translated_description_html": "Variance of a population.", "id": "26175", "description_html": "Variance of a population.", "title": "Statistics: Variance of a population", "progress_key": "v26175", "edit_slug": "edit/v/26175", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Variance of a population.", "extra_properties": null, "node_slug": "v/statistics--variance-of-a-population", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.mp4/6JFzI1DDyyk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.mp4/6JFzI1DDyyk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.m3u8/6JFzI1DDyyk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6JFzI1DDyyk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v26175", "sha": "a0038f0157d1cf16c856c4eb5de5b9ce76d2c604", "translated_description": "Variance of a population.", "image_url": "https://img.youtube.com/vi/6JFzI1DDyyk/hqdefault.jpg", "youtube_id": "6JFzI1DDyyk", "content_kind": "Video", "readable_id": "statistics--variance-of-a-population"}, {"translated_youtube_id": "Qf3RMGXR-h8", "relative_url": "/video/statistics--sample-variance", "has_questions": false, "keywords": "statistics, sample, variance, estimator, CC_6_SP_3, CC_6_SP_4, CC_6_SP_5_a, CC_6_SP_5_c, CC_7_SP_1", "ka_url": "http://www.khanacademy.org/video/statistics--sample-variance", "duration": 678, "translated_title": "Statistics: Sample variance", "translated_description_html": "Using the variance of a sample to estimate the variance of a population", "id": "26177", "description_html": "Using the variance of a sample to estimate the variance of a population", "title": "Statistics: Sample variance", "progress_key": "v26177", "edit_slug": "edit/v/26177", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the variance of a sample to estimate the variance of a population", "extra_properties": null, "node_slug": "v/statistics--sample-variance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.mp4/Qf3RMGXR-h8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.mp4/Qf3RMGXR-h8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.m3u8/Qf3RMGXR-h8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qf3RMGXR-h8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v26177", "sha": "7bba2a97ac2f07b73f45c38f9a6fbfc29ac8a4f1", "translated_description": "Using the variance of a sample to estimate the variance of a population", "image_url": "https://img.youtube.com/vi/Qf3RMGXR-h8/hqdefault.jpg", "youtube_id": "Qf3RMGXR-h8", "content_kind": "Video", "readable_id": "statistics--sample-variance"}], "twitter_url": "", "translated_description": "This tutorial covers central tendency and dispersion. It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial covers central tendency and dispersion. It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).", "x_pos": 0.0, "node_slug": "old-stats-videos", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6c7c7271", "topic_page_url": "/math/probability/descriptive-statistics/old-stats-videos", "extended_slug": "math/probability/descriptive-statistics/old-stats-videos", "slug": "old-stats-videos", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "645e8466d95e305ca5565c11c756eaa023819667", "standalone_title": "Sal's old statistics videos", "y_pos": 0.0, "current_revision_key": "645e8466d95e305ca5565c11c756eaa023819667", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.", "x_pos": 0.0, "node_slug": "descriptive-statistics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c5c47ff", "topic_page_url": "/math/probability/descriptive-statistics", "extended_slug": "math/probability/descriptive-statistics", "slug": "descriptive-statistics", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c935858c93d8df71a8004cdb6e366fc03bfa460d", "standalone_title": "Descriptive statistics", "y_pos": 0.0, "current_revision_key": "c935858c93d8df71a8004cdb6e366fc03bfa460d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/regression", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/regression", "translated_standalone_title": "Regression", "translated_title": "Regression", "gplus_url": "", "id": "xea585073", "old_key_name": "waVh_4BIz7-iGpkl6jbWXq2dWIWTs53Gi1mb37rt", "hide": false, "title": "Regression", "child_data": [{"kind": "Topic", "id": "x917d3451"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/regression/regression-correlation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/regression/regression-correlation", "translated_standalone_title": "Linear regression and correlation", "translated_title": "Linear regression and correlation", "gplus_url": "", "id": "x917d3451", "old_key_name": "tXta9Z7gXkqLbipE9UTphmjTCaUOXIoXXyptkpSe", "hide": false, "title": "Linear regression and correlation", "child_data": [{"kind": "Video", "id": 203846247}, {"kind": "Video", "id": 23654}, {"kind": "Video", "id": "x61240c40"}, {"kind": "Exercise", "id": 917310246}, {"kind": "Video", "id": 8187292}, {"kind": "Video", "id": 8187293}, {"kind": "Video", "id": 8187297}, {"kind": "Video", "id": 8187294}, {"kind": "Video", "id": 8187295}, {"kind": "Video", "id": 8187296}, {"kind": "Video", "id": 8187299}, {"kind": "Video", "id": 8187298}, {"kind": "Video", "id": 8187300}, {"kind": "Video", "id": 8187301}], "children": [{"translated_youtube_id": "ROpbdO-gRUo", "relative_url": "/video/correlation-and-causality", "has_questions": false, "keywords": "statistic, health, nutrition", "ka_url": "http://www.khanacademy.org/video/correlation-and-causality", "duration": 645, "translated_title": "Correlation and causality", "translated_description_html": "Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)", "id": "203846247", "description_html": "Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)", "title": "Correlation and causality", "progress_key": "v203846247", "edit_slug": "edit/v/203846247", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)", "extra_properties": {"original_url": ""}, "node_slug": "v/correlation-and-causality", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-18T21:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ROpbdO-gRUo.mp4/ROpbdO-gRUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ROpbdO-gRUo.mp4/ROpbdO-gRUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ROpbdO-gRUo.m3u8/ROpbdO-gRUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ROpbdO-gRUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v203846247", "sha": "82a4c6302e855f1ae343e2e629edf7ff9e55dbf0", "translated_description": "Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)", "image_url": "https://img.youtube.com/vi/ROpbdO-gRUo/hqdefault.jpg", "youtube_id": "ROpbdO-gRUo", "content_kind": "Video", "readable_id": "correlation-and-causality"}, {"translated_youtube_id": "OhUkMQtBGmE", "relative_url": "/video/fitting-a-line-to-data", "has_questions": false, "keywords": "Fitting, Line, to, Data, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/fitting-a-line-to-data", "duration": 468, "translated_title": "Fitting a line to data", "translated_description_html": "", "id": "23654", "description_html": "", "title": "Fitting a line to data", "progress_key": "v23654", "edit_slug": "edit/v/23654", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fitting-a-line-to-data", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:36:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.mp4/OhUkMQtBGmE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.mp4/OhUkMQtBGmE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OhUkMQtBGmE.m3u8/OhUkMQtBGmE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OhUkMQtBGmE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23654", "sha": "120b6f67790bd895090b6734c0834b91da72dba8", "translated_description": "", "image_url": "https://img.youtube.com/vi/OhUkMQtBGmE/hqdefault.jpg", "youtube_id": "OhUkMQtBGmE", "content_kind": "Video", "readable_id": "fitting-a-line-to-data"}, {"translated_youtube_id": "ioieTr41L24", "relative_url": "/video/estimating-the-line-of-best-fit-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/estimating-the-line-of-best-fit-exercise", "duration": 77, "translated_title": "Estimating the line of best fit exercise", "translated_description_html": "", "id": "x61240c40", "description_html": "", "title": "Estimating the line of best fit exercise", "progress_key": "vx61240c40", "edit_slug": "edit/v/x61240c40", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/estimating-the-line-of-best-fit-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-02T18:22:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.mp4/ioieTr41L24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.mp4/ioieTr41L24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ioieTr41L24.m3u8/ioieTr41L24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ioieTr41L24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx61240c40", "sha": "f7beb772fb98f5320d02ab79bd33c5b81011bf73", "translated_description": "", "image_url": "https://img.youtube.com/vi/ioieTr41L24/hqdefault.jpg", "youtube_id": "ioieTr41L24", "content_kind": "Video", "readable_id": "estimating-the-line-of-best-fit-exercise"}, {"translated_youtube_id": "6OvhLPS7rj4", "relative_url": "/video/squared-error-of-regression-line", "has_questions": false, "keywords": "squared, error, regression, line, least, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/squared-error-of-regression-line", "duration": 407, "translated_title": "Squared error of regression line", "translated_description_html": "Introduction to the idea that one can find a line that minimizes the squared distances to the points", "id": "8187292", "description_html": "Introduction to the idea that one can find a line that minimizes the squared distances to the points", "title": "Squared error of regression line", "progress_key": "v8187292", "edit_slug": "edit/v/8187292", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the idea that one can find a line that minimizes the squared distances to the points", "extra_properties": null, "node_slug": "v/squared-error-of-regression-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6OvhLPS7rj4.mp4/6OvhLPS7rj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6OvhLPS7rj4.mp4/6OvhLPS7rj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6OvhLPS7rj4.m3u8/6OvhLPS7rj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6OvhLPS7rj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187292", "sha": "4324f006c1f66fdbf461b12ef3b96a2d58e33f3a", "translated_description": "Introduction to the idea that one can find a line that minimizes the squared distances to the points", "image_url": "https://img.youtube.com/vi/6OvhLPS7rj4/hqdefault.jpg", "youtube_id": "6OvhLPS7rj4", "content_kind": "Video", "readable_id": "squared-error-of-regression-line"}, {"translated_youtube_id": "mIx2Oj5y9Q8", "relative_url": "/video/proof--part-1--minimizing-squared-error-to-regression-line", "has_questions": false, "keywords": "Proof, (Part, 1), Minimizing, Squared, Error, to, Regression, Line, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/proof--part-1--minimizing-squared-error-to-regression-line", "duration": 635, "translated_title": "Proof (part 1) minimizing squared error to regression line", "translated_description_html": "Proof (Part 1) Minimizing Squared Error to Regression Line", "id": "8187293", "description_html": "Proof (Part 1) Minimizing Squared Error to Regression Line", "title": "Proof (part 1) minimizing squared error to regression line", "progress_key": "v8187293", "edit_slug": "edit/v/8187293", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof (Part 1) Minimizing Squared Error to Regression Line", "extra_properties": null, "node_slug": "v/proof--part-1--minimizing-squared-error-to-regression-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mIx2Oj5y9Q8.mp4/mIx2Oj5y9Q8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mIx2Oj5y9Q8.mp4/mIx2Oj5y9Q8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mIx2Oj5y9Q8.m3u8/mIx2Oj5y9Q8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mIx2Oj5y9Q8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187293", "sha": "3a8bd97519e83fb8df0abb563475a3f71bee6383", "translated_description": "Proof (Part 1) Minimizing Squared Error to Regression Line", "image_url": "https://img.youtube.com/vi/mIx2Oj5y9Q8/hqdefault.jpg", "youtube_id": "mIx2Oj5y9Q8", "content_kind": "Video", "readable_id": "proof--part-1--minimizing-squared-error-to-regression-line"}, {"translated_youtube_id": "f6OnoxctvUk", "relative_url": "/video/proof-part-2-minimizing-squared-error-to-line", "has_questions": false, "keywords": "Proof, Part, Minimizing, Squared, Error, to, Line, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/proof-part-2-minimizing-squared-error-to-line", "duration": 594, "translated_title": "Proof (part 2) minimizing squared error to regression line", "translated_description_html": "Proof Part 2 Minimizing Squared Error to Line", "id": "8187297", "description_html": "Proof Part 2 Minimizing Squared Error to Line", "title": "Proof (part 2) minimizing squared error to regression line", "progress_key": "v8187297", "edit_slug": "edit/v/8187297", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof Part 2 Minimizing Squared Error to Line", "extra_properties": null, "node_slug": "v/proof-part-2-minimizing-squared-error-to-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f6OnoxctvUk.mp4/f6OnoxctvUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f6OnoxctvUk.mp4/f6OnoxctvUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f6OnoxctvUk.m3u8/f6OnoxctvUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f6OnoxctvUk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187297", "sha": "94b6996d679d44f572a18889a15c551f48767ac8", "translated_description": "Proof Part 2 Minimizing Squared Error to Line", "image_url": "https://img.youtube.com/vi/f6OnoxctvUk/hqdefault.jpg", "youtube_id": "f6OnoxctvUk", "content_kind": "Video", "readable_id": "proof-part-2-minimizing-squared-error-to-line"}, {"translated_youtube_id": "u1HhUB3NP8g", "relative_url": "/video/proof--part-3--minimizing-squared-error-to-regression-line", "has_questions": false, "keywords": "Proof, (Part, 3), Minimizing, Squared, Error, to, Regression, Line, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/proof--part-3--minimizing-squared-error-to-regression-line", "duration": 654, "translated_title": "Proof (part 3) minimizing squared error to regression line", "translated_description_html": "Proof (Part 3) Minimizing Squared Error to Regression Line", "id": "8187294", "description_html": "Proof (Part 3) Minimizing Squared Error to Regression Line", "title": "Proof (part 3) minimizing squared error to regression line", "progress_key": "v8187294", "edit_slug": "edit/v/8187294", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof (Part 3) Minimizing Squared Error to Regression Line", "extra_properties": null, "node_slug": "v/proof--part-3--minimizing-squared-error-to-regression-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1HhUB3NP8g.mp4/u1HhUB3NP8g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1HhUB3NP8g.mp4/u1HhUB3NP8g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u1HhUB3NP8g.m3u8/u1HhUB3NP8g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u1HhUB3NP8g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187294", "sha": "64d207cbf09490d393f17071d6f937b79171cb0e", "translated_description": "Proof (Part 3) Minimizing Squared Error to Regression Line", "image_url": "https://img.youtube.com/vi/u1HhUB3NP8g/hqdefault.jpg", "youtube_id": "u1HhUB3NP8g", "content_kind": "Video", "readable_id": "proof--part-3--minimizing-squared-error-to-regression-line"}, {"translated_youtube_id": "8RSTQl0bQuw", "relative_url": "/video/proof--part-4--minimizing-squared-error-to-regression-line", "has_questions": false, "keywords": "Proof, (Part, 4), Minimizing, Squared, Error, to, Regression, Line, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/proof--part-4--minimizing-squared-error-to-regression-line", "duration": 258, "translated_title": "Proof (part 4) minimizing squared error to regression line", "translated_description_html": "Proof (Part 4) Minimizing Squared Error to Regression Line", "id": "8187295", "description_html": "Proof (Part 4) Minimizing Squared Error to Regression Line", "title": "Proof (part 4) minimizing squared error to regression line", "progress_key": "v8187295", "edit_slug": "edit/v/8187295", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof (Part 4) Minimizing Squared Error to Regression Line", "extra_properties": null, "node_slug": "v/proof--part-4--minimizing-squared-error-to-regression-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8RSTQl0bQuw.mp4/8RSTQl0bQuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8RSTQl0bQuw.mp4/8RSTQl0bQuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8RSTQl0bQuw.m3u8/8RSTQl0bQuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8RSTQl0bQuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187295", "sha": "24407fa2d6b694b9df316722aa03de7a9594db67", "translated_description": "Proof (Part 4) Minimizing Squared Error to Regression Line", "image_url": "https://img.youtube.com/vi/8RSTQl0bQuw/hqdefault.jpg", "youtube_id": "8RSTQl0bQuw", "content_kind": "Video", "readable_id": "proof--part-4--minimizing-squared-error-to-regression-line"}, {"translated_youtube_id": "GAmzwIkGFgE", "relative_url": "/video/regression-line-example", "has_questions": false, "keywords": "Regression, Line, Example, Least, Squares, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/regression-line-example", "duration": 567, "translated_title": "Regression line example", "translated_description_html": "Regression Line Example", "id": "8187296", "description_html": "Regression Line Example", "title": "Regression line example", "progress_key": "v8187296", "edit_slug": "edit/v/8187296", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Regression Line Example", "extra_properties": null, "node_slug": "v/regression-line-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GAmzwIkGFgE.mp4/GAmzwIkGFgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GAmzwIkGFgE.mp4/GAmzwIkGFgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GAmzwIkGFgE.m3u8/GAmzwIkGFgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GAmzwIkGFgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187296", "sha": "f586538324d0ddc208e288f9ce7f3e636e9aa41f", "translated_description": "Regression Line Example", "image_url": "https://img.youtube.com/vi/GAmzwIkGFgE/hqdefault.jpg", "youtube_id": "GAmzwIkGFgE", "content_kind": "Video", "readable_id": "regression-line-example"}, {"translated_youtube_id": "ww_yT9ckPWw", "relative_url": "/video/second-regression-example", "has_questions": false, "keywords": "Second, Regression, Example, line, least, squared, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/second-regression-example", "duration": 555, "translated_title": "Second regression example", "translated_description_html": "Second Regression Example", "id": "8187299", "description_html": "Second Regression Example", "title": "Second regression example", "progress_key": "v8187299", "edit_slug": "edit/v/8187299", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second Regression Example", "extra_properties": null, "node_slug": "v/second-regression-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ww_yT9ckPWw.mp4/ww_yT9ckPWw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ww_yT9ckPWw.mp4/ww_yT9ckPWw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ww_yT9ckPWw.m3u8/ww_yT9ckPWw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ww_yT9ckPWw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187299", "sha": "a3a70e8b15bf5c9dc0b8d1f073a921bfe860064e", "translated_description": "Second Regression Example", "image_url": "https://img.youtube.com/vi/ww_yT9ckPWw/hqdefault.jpg", "youtube_id": "ww_yT9ckPWw", "content_kind": "Video", "readable_id": "second-regression-example"}, {"translated_youtube_id": "lng4ZgConCM", "relative_url": "/video/r-squared-or-coefficient-of-determination", "has_questions": false, "keywords": "R-Squared, or, Coefficient, of, Determination, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/r-squared-or-coefficient-of-determination", "duration": 761, "translated_title": "R-squared or coefficient of determination", "translated_description_html": "R-Squared or Coefficient of Determination", "id": "8187298", "description_html": "R-Squared or Coefficient of Determination", "title": "R-squared or coefficient of determination", "progress_key": "v8187298", "edit_slug": "edit/v/8187298", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "R-Squared or Coefficient of Determination", "extra_properties": null, "node_slug": "v/r-squared-or-coefficient-of-determination", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lng4ZgConCM.mp4/lng4ZgConCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lng4ZgConCM.mp4/lng4ZgConCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lng4ZgConCM.m3u8/lng4ZgConCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lng4ZgConCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187298", "sha": "2e84902a6aa1c1ad8c14cdb5929311c0ebbf5df5", "translated_description": "R-Squared or Coefficient of Determination", "image_url": "https://img.youtube.com/vi/lng4ZgConCM/hqdefault.jpg", "youtube_id": "lng4ZgConCM", "content_kind": "Video", "readable_id": "r-squared-or-coefficient-of-determination"}, {"translated_youtube_id": "Fc5t_5r_7IU", "relative_url": "/video/calculating-r-squared", "has_questions": false, "keywords": "Calculating, R-Squared, to, see, how, well, regression, line, fits, data, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/calculating-r-squared", "duration": 585, "translated_title": "Calculating R-squared", "translated_description_html": "Calculating R-Squared to see how well a regression line fits data", "id": "8187300", "description_html": "Calculating R-Squared to see how well a regression line fits data", "title": "Calculating R-squared", "progress_key": "v8187300", "edit_slug": "edit/v/8187300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Calculating R-Squared to see how well a regression line fits data", "extra_properties": null, "node_slug": "v/calculating-r-squared", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Fc5t_5r_7IU.mp4/Fc5t_5r_7IU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Fc5t_5r_7IU.mp4/Fc5t_5r_7IU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Fc5t_5r_7IU.m3u8/Fc5t_5r_7IU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Fc5t_5r_7IU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187300", "sha": "740d229baaa87127992411383961d60e5de6498c", "translated_description": "Calculating R-Squared to see how well a regression line fits data", "image_url": "https://img.youtube.com/vi/Fc5t_5r_7IU/hqdefault.jpg", "youtube_id": "Fc5t_5r_7IU", "content_kind": "Video", "readable_id": "calculating-r-squared"}, {"translated_youtube_id": "ualmyZiPs9w", "relative_url": "/video/covariance-and-the-regression-line", "has_questions": false, "keywords": "Covariance, CC_8_SP_2, CC_8_SP_3", "ka_url": "http://www.khanacademy.org/video/covariance-and-the-regression-line", "duration": 908, "translated_title": "Covariance and the regression line", "translated_description_html": "Covariance, Variance and the Slope of the Regression Line", "id": "8187301", "description_html": "Covariance, Variance and the Slope of the Regression Line", "title": "Covariance and the regression line", "progress_key": "v8187301", "edit_slug": "edit/v/8187301", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Covariance, Variance and the Slope of the Regression Line", "extra_properties": null, "node_slug": "v/covariance-and-the-regression-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ualmyZiPs9w.mp4/ualmyZiPs9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ualmyZiPs9w.mp4/ualmyZiPs9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ualmyZiPs9w.m3u8/ualmyZiPs9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ualmyZiPs9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187301", "sha": "e88d3f670e474b6205a23b2e06f3f3c3e0ace27d", "translated_description": "Covariance, Variance and the Slope of the Regression Line", "image_url": "https://img.youtube.com/vi/ualmyZiPs9w/hqdefault.jpg", "youtube_id": "ualmyZiPs9w", "content_kind": "Video", "readable_id": "covariance-and-the-regression-line"}], "twitter_url": "", "translated_description": "Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables.", "x_pos": 0.0, "node_slug": "regression-correlation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-05T18:59:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax917d3451", "topic_page_url": "/math/probability/regression/regression-correlation", "extended_slug": "math/probability/regression/regression-correlation", "slug": "regression-correlation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b7c47190ae3a19fec60a26c193195f2b3885e42a", "standalone_title": "Linear regression and correlation", "y_pos": 0.0, "current_revision_key": "b7c47190ae3a19fec60a26c193195f2b3885e42a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Fitting a line to points. Linear regression. R-squared.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Fitting a line to points. Linear regression. R-squared.", "x_pos": 0.0, "node_slug": "regression", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axea585073", "topic_page_url": "/math/probability/regression", "extended_slug": "math/probability/regression", "slug": "regression", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b84a6faa8dc0598a6bc040cb25c603de4370e836", "standalone_title": "Regression", "y_pos": 0.0, "current_revision_key": "b84a6faa8dc0598a6bc040cb25c603de4370e836", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/statistics-40x40.png", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential", "translated_standalone_title": "Inferential statistics", "translated_title": "Inferential statistics", "gplus_url": "", "id": "x2a3773b2", "old_key_name": "a11EYuB8JELuSLuK70DfUGQlRMEKtVAxQdu1UtVK", "hide": false, "title": "Inferential statistics", "child_data": [{"kind": "Topic", "id": "xf67f64bc"}, {"kind": "Topic", "id": "xf9e44b70"}, {"kind": "Topic", "id": "xa06d7d05"}, {"kind": "Topic", "id": "x3a420a07"}, {"kind": "Topic", "id": "xf394fbee"}, {"kind": "Topic", "id": "x04df695d"}, {"kind": "Topic", "id": "x5b4e7f0e"}, {"kind": "Topic", "id": "xbe77e59a"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/normal_distribution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution", "translated_standalone_title": "Normal distribution", "translated_title": "Normal distribution", "gplus_url": "", "id": "xf67f64bc", "old_key_name": "mYoOidNs3jnLMCajG88IXeQVRjZOKT92kgOfch2w", "hide": false, "title": "Normal distribution", "child_data": [{"kind": "Video", "id": 26196}, {"kind": "Video", "id": 26194}, {"kind": "Video", "id": 26198}, {"kind": "Video", "id": 26202}, {"kind": "Video", "id": 26200}, {"kind": "Video", "id": 26204}, {"kind": "Exercise", "id": 568741839}, {"kind": "Video", "id": 26206}, {"kind": "Exercise", "id": 617823708}, {"kind": "Exercise", "id": 729512830}, {"kind": "Exercise", "id": 729503007}], "children": [{"translated_youtube_id": "hgtMWR3TFnY", "relative_url": "/video/introduction-to-the-normal-distribution", "has_questions": false, "keywords": "statistics, normal, distribution, gaussian, bell, curve, CC_6_SP_5_d, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-normal-distribution", "duration": 1584, "translated_title": "Introduction to the normal distribution", "translated_description_html": "Exploring the normal distribution", "id": "26196", "description_html": "Exploring the normal distribution", "title": "Introduction to the normal distribution", "progress_key": "v26196", "edit_slug": "edit/v/26196", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring the normal distribution", "extra_properties": null, "node_slug": "v/introduction-to-the-normal-distribution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hgtMWR3TFnY.mp4/hgtMWR3TFnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hgtMWR3TFnY.mp4/hgtMWR3TFnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hgtMWR3TFnY.m3u8/hgtMWR3TFnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hgtMWR3TFnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26196", "sha": "0e9d945a98d4df6bdfec1b8566eeeed950e9523b", "translated_description": "Exploring the normal distribution", "image_url": "https://img.youtube.com/vi/hgtMWR3TFnY/hqdefault.jpg", "youtube_id": "hgtMWR3TFnY", "content_kind": "Video", "readable_id": "introduction-to-the-normal-distribution"}, {"translated_youtube_id": "yTGEMoaWDCQ", "relative_url": "/video/normal-distribution-excel-exercise", "has_questions": false, "keywords": "statistics, normal, distribution, binomial, CC_6_SP_5_d, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/normal-distribution-excel-exercise", "duration": 1564, "translated_title": "Normal distribution excel exercise", "translated_description_html": "(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.", "id": "26194", "description_html": "(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.", "title": "Normal distribution excel exercise", "progress_key": "v26194", "edit_slug": "edit/v/26194", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.", "extra_properties": null, "node_slug": "v/normal-distribution-excel-exercise", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yTGEMoaWDCQ.mp4/yTGEMoaWDCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yTGEMoaWDCQ.mp4/yTGEMoaWDCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yTGEMoaWDCQ.m3u8/yTGEMoaWDCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yTGEMoaWDCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26194", "sha": "7076d19ca6ad604535a11b338fe70842cf955a61", "translated_description": "(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.", "image_url": "https://img.youtube.com/vi/yTGEMoaWDCQ/hqdefault.jpg", "youtube_id": "yTGEMoaWDCQ", "content_kind": "Video", "readable_id": "normal-distribution-excel-exercise"}, {"translated_youtube_id": "79duxPXpyKQ", "relative_url": "/video/ck12-org-normal-distribution-problems--qualitative-sense-of-normal-distributions", "has_questions": false, "keywords": "normal, distribution, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/ck12-org-normal-distribution-problems--qualitative-sense-of-normal-distributions", "duration": 653, "translated_title": "ck12.org normal distribution problems: Qualitative sense of normal distributions", "translated_description_html": "Discussion of how \"normal\" a distribution might be", "id": "26198", "description_html": "Discussion of how \"normal\" a distribution might be", "title": "ck12.org normal distribution problems: Qualitative sense of normal distributions", "progress_key": "v26198", "edit_slug": "edit/v/26198", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Discussion of how \"normal\" a distribution might be", "extra_properties": null, "node_slug": "v/ck12-org-normal-distribution-problems--qualitative-sense-of-normal-distributions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/79duxPXpyKQ.mp4/79duxPXpyKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/79duxPXpyKQ.mp4/79duxPXpyKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/79duxPXpyKQ.m3u8/79duxPXpyKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=79duxPXpyKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26198", "sha": "1087a69c8b897679e266483844ea00f9d2bce50f", "translated_description": "Discussion of how \"normal\" a distribution might be", "image_url": "https://img.youtube.com/vi/79duxPXpyKQ/hqdefault.jpg", "youtube_id": "79duxPXpyKQ", "content_kind": "Video", "readable_id": "ck12-org-normal-distribution-problems--qualitative-sense-of-normal-distributions"}, {"translated_youtube_id": "OhRr26AfFBU", "relative_url": "/video/ck12-org-normal-distribution-problems--empirical-rule", "has_questions": false, "keywords": "empirical, rule, normal, distribution, CC_6_SP_5_c, CC_6_SP_5_d", "ka_url": "http://www.khanacademy.org/video/ck12-org-normal-distribution-problems--empirical-rule", "duration": 625, "translated_title": "ck12.org normal distribution problems: Empirical rule", "translated_description_html": "Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions", "id": "26202", "description_html": "Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions", "title": "ck12.org normal distribution problems: Empirical rule", "progress_key": "v26202", "edit_slug": "edit/v/26202", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions", "extra_properties": null, "node_slug": "v/ck12-org-normal-distribution-problems--empirical-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OhRr26AfFBU.mp4/OhRr26AfFBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OhRr26AfFBU.mp4/OhRr26AfFBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OhRr26AfFBU.m3u8/OhRr26AfFBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OhRr26AfFBU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26202", "sha": "38ea92c91e94c068414929d091752bb62fa2dd18", "translated_description": "Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions", "image_url": "https://img.youtube.com/vi/OhRr26AfFBU/hqdefault.jpg", "youtube_id": "OhRr26AfFBU", "content_kind": "Video", "readable_id": "ck12-org-normal-distribution-problems--empirical-rule"}, {"translated_youtube_id": "Wp2nVIzBsE8", "relative_url": "/video/ck12-org-normal-distribution-problems--z-score", "has_questions": false, "keywords": "z-score, normal, distribution, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/ck12-org-normal-distribution-problems--z-score", "duration": 468, "translated_title": "ck12.org normal distribution problems: z-score", "translated_description_html": "Z-score practice", "id": "26200", "description_html": "Z-score practice", "title": "ck12.org normal distribution problems: z-score", "progress_key": "v26200", "edit_slug": "edit/v/26200", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Z-score practice", "extra_properties": null, "node_slug": "v/ck12-org-normal-distribution-problems--z-score", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wp2nVIzBsE8.mp4/Wp2nVIzBsE8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wp2nVIzBsE8.mp4/Wp2nVIzBsE8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wp2nVIzBsE8.m3u8/Wp2nVIzBsE8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wp2nVIzBsE8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26200", "sha": "a36f7309cc8d462670cc1005078e4b4fcb501bc2", "translated_description": "Z-score practice", "image_url": "https://img.youtube.com/vi/Wp2nVIzBsE8/hqdefault.jpg", "youtube_id": "Wp2nVIzBsE8", "content_kind": "Video", "readable_id": "ck12-org-normal-distribution-problems--z-score"}, {"translated_youtube_id": "2fzYE-Emar0", "relative_url": "/video/ck12-org-exercise--standard-normal-distribution-and-the-empirical-rule", "has_questions": false, "keywords": "standard, normal, distribution, empirical, rule, CC_6_SP_5_c, CC_6_SP_5_d", "ka_url": "http://www.khanacademy.org/video/ck12-org-exercise--standard-normal-distribution-and-the-empirical-rule", "duration": 496, "translated_title": "ck12.org exercise: Standard normal distribution and the empirical rule", "translated_description_html": "Using the Empirical Rule with a standard normal distribution", "id": "26204", "description_html": "Using the Empirical Rule with a standard normal distribution", "title": "ck12.org exercise: Standard normal distribution and the empirical rule", "progress_key": "v26204", "edit_slug": "edit/v/26204", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the Empirical Rule with a standard normal distribution", "extra_properties": null, "node_slug": "v/ck12-org-exercise--standard-normal-distribution-and-the-empirical-rule", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2fzYE-Emar0.mp4/2fzYE-Emar0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2fzYE-Emar0.mp4/2fzYE-Emar0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2fzYE-Emar0.m3u8/2fzYE-Emar0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2fzYE-Emar0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26204", "sha": "6522a7d43cf64aed49a4e868ee2ff670fac93b28", "translated_description": "Using the Empirical Rule with a standard normal distribution", "image_url": "https://img.youtube.com/vi/2fzYE-Emar0/hqdefault.jpg", "youtube_id": "2fzYE-Emar0", "content_kind": "Video", "readable_id": "ck12-org-exercise--standard-normal-distribution-and-the-empirical-rule"}, {"translated_youtube_id": "itQEwESWDKg", "relative_url": "/video/ck12-org--more-empirical-rule-and-z-score-practice", "has_questions": false, "keywords": "empirical, rule, z-score, CC_6_SP_5_c, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/ck12-org--more-empirical-rule-and-z-score-practice", "duration": 357, "translated_title": "ck12.org: More empirical rule and z-score practice", "translated_description_html": "More Empirical Rule and Z-score practice", "id": "26206", "description_html": "More Empirical Rule and Z-score practice", "title": "ck12.org: More empirical rule and z-score practice", "progress_key": "v26206", "edit_slug": "edit/v/26206", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More Empirical Rule and Z-score practice", "extra_properties": null, "node_slug": "v/ck12-org--more-empirical-rule-and-z-score-practice", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/itQEwESWDKg.mp4/itQEwESWDKg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itQEwESWDKg.mp4/itQEwESWDKg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/itQEwESWDKg.m3u8/itQEwESWDKg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=itQEwESWDKg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26206", "sha": "e84d2f763991d2ece8b962b5c32567f75f3c521c", "translated_description": "More Empirical Rule and Z-score practice", "image_url": "https://img.youtube.com/vi/itQEwESWDKg/hqdefault.jpg", "youtube_id": "itQEwESWDKg", "content_kind": "Video", "readable_id": "ck12-org--more-empirical-rule-and-z-score-practice"}], "twitter_url": "", "translated_description": "The normal distribution (often referred to as the \"bell curve\" is at the core of most of inferential statistics. By assuming that most complex processes result in a normal distribution (we'll see why this is reasonable), we can gauge the probability of it happening by chance.\n\nTo best enjoy this tutorial, it is good to come to it understanding what probability distributions and random variables are. You should also be very familiar with the notions of population and sample mean and standard deviation.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The normal distribution (often referred to as the \"bell curve\" is at the core of most of inferential statistics. By assuming that most complex processes result in a normal distribution (we'll see why this is reasonable), we can gauge the probability of it happening by chance.\n\nTo best enjoy this tutorial, it is good to come to it understanding what probability distributions and random variables are. You should also be very familiar with the notions of population and sample mean and standard deviation.", "x_pos": 0.0, "node_slug": "normal_distribution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf67f64bc", "topic_page_url": "/math/probability/statistics-inferential/normal_distribution", "extended_slug": "math/probability/statistics-inferential/normal_distribution", "slug": "normal_distribution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "82651dd64a5e5f7b38df0b1fa5601fb065c8d64e", "standalone_title": "Normal distribution", "y_pos": 0.0, "current_revision_key": "82651dd64a5e5f7b38df0b1fa5601fb065c8d64e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/sampling_distribution", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution", "translated_standalone_title": "Sampling distribution", "translated_title": "Sampling distribution", "gplus_url": "", "id": "xf9e44b70", "old_key_name": "2_-2zFvgoNa4vTmSJX8XEXfmAXpOagljMZYCLIXc", "hide": false, "title": "Sampling distribution", "child_data": [{"kind": "Video", "id": 371055}, {"kind": "Video", "id": 411022}, {"kind": "Video", "id": 378042}, {"kind": "Video", "id": 397052}, {"kind": "Video", "id": 6022796}], "children": [{"translated_youtube_id": "JNm3M9cqWyc", "relative_url": "/video/central-limit-theorem", "has_questions": false, "keywords": "central, limit, theorem, sampling, distribution, of, the, mean, CC_6_SP_2, CC_6_SP_4, CC_6_SP_5_a, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/central-limit-theorem", "duration": 589, "translated_title": "Central limit theorem", "translated_description_html": "Introduction to the central limit theorem and the sampling distribution of the mean", "id": "371055", "description_html": "Introduction to the central limit theorem and the sampling distribution of the mean", "title": "Central limit theorem", "progress_key": "v371055", "edit_slug": "edit/v/371055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the central limit theorem and the sampling distribution of the mean", "extra_properties": null, "node_slug": "v/central-limit-theorem", "deleted": false, "backup_timestamp": "2013-09-21T10:38:49Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JNm3M9cqWyc.mp4/JNm3M9cqWyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JNm3M9cqWyc.mp4/JNm3M9cqWyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JNm3M9cqWyc.m3u8/JNm3M9cqWyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JNm3M9cqWyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v371055", "sha": "519376ddaa721ce5296559b852b3aedc4d23cbb5", "translated_description": "Introduction to the central limit theorem and the sampling distribution of the mean", "image_url": "https://img.youtube.com/vi/JNm3M9cqWyc/hqdefault.jpg", "youtube_id": "JNm3M9cqWyc", "content_kind": "Video", "readable_id": "central-limit-theorem"}, {"translated_youtube_id": "FXZ2O1Lv-KE", "relative_url": "/video/sampling-distribution-of-the-sample-mean", "has_questions": false, "keywords": "central, limit, theorem, sampling, distribution, sample, mean, CC_6_SP_2, CC_6_SP_4, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/sampling-distribution-of-the-sample-mean", "duration": 652, "translated_title": "Sampling distribution of the sample mean", "translated_description_html": "The central limit theorem and the sampling distribution of the sample mean", "id": "411022", "description_html": "The central limit theorem and the sampling distribution of the sample mean", "title": "Sampling distribution of the sample mean", "progress_key": "v411022", "edit_slug": "edit/v/411022", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The central limit theorem and the sampling distribution of the sample mean", "extra_properties": null, "node_slug": "v/sampling-distribution-of-the-sample-mean", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FXZ2O1Lv-KE.mp4/FXZ2O1Lv-KE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FXZ2O1Lv-KE.mp4/FXZ2O1Lv-KE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FXZ2O1Lv-KE.m3u8/FXZ2O1Lv-KE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FXZ2O1Lv-KE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v411022", "sha": "44ff4a57c949a27f9d3956455a6651beb89b2f48", "translated_description": "The central limit theorem and the sampling distribution of the sample mean", "image_url": "https://img.youtube.com/vi/FXZ2O1Lv-KE/hqdefault.jpg", "youtube_id": "FXZ2O1Lv-KE", "content_kind": "Video", "readable_id": "sampling-distribution-of-the-sample-mean"}, {"translated_youtube_id": "NYd6wzYkQIM", "relative_url": "/video/sampling-distribution-of-the-sample-mean-2", "has_questions": false, "keywords": "Central, Limit, Theorem, Sampling, Distribution, Sample, Mean, CC_6_SP_2, CC_6_SP_4, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_1", "ka_url": "http://www.khanacademy.org/video/sampling-distribution-of-the-sample-mean-2", "duration": 800, "translated_title": "Sampling distribution of the sample mean 2", "translated_description_html": "More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean", "id": "378042", "description_html": "More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean", "title": "Sampling distribution of the sample mean 2", "progress_key": "v378042", "edit_slug": "edit/v/378042", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean", "extra_properties": null, "node_slug": "v/sampling-distribution-of-the-sample-mean-2", "deleted": false, "backup_timestamp": "2013-09-21T10:38:50Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NYd6wzYkQIM.mp4/NYd6wzYkQIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NYd6wzYkQIM.mp4/NYd6wzYkQIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NYd6wzYkQIM.m3u8/NYd6wzYkQIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NYd6wzYkQIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v378042", "sha": "c8afc4a910b69479152473e634e1d8da4a1d0da5", "translated_description": "More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean", "image_url": "https://img.youtube.com/vi/NYd6wzYkQIM/hqdefault.jpg", "youtube_id": "NYd6wzYkQIM", "content_kind": "Video", "readable_id": "sampling-distribution-of-the-sample-mean-2"}, {"translated_youtube_id": "J1twbrHel3o", "relative_url": "/video/standard-error-of-the-mean", "has_questions": false, "keywords": "standard, error, of, the, mean, deviation, sampling, distribution, sample, CC_6_SP_2, CC_6_SP_4, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/standard-error-of-the-mean", "duration": 915, "translated_title": "Standard error of the mean", "translated_description_html": "Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)", "id": "397052", "description_html": "Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)", "title": "Standard error of the mean", "progress_key": "v397052", "edit_slug": "edit/v/397052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)", "extra_properties": null, "node_slug": "v/standard-error-of-the-mean", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J1twbrHel3o.mp4/J1twbrHel3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J1twbrHel3o.mp4/J1twbrHel3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J1twbrHel3o.m3u8/J1twbrHel3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J1twbrHel3o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v397052", "sha": "78fd5436e0f76903b28a48c86d452c83a8d9a32a", "translated_description": "Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)", "image_url": "https://img.youtube.com/vi/J1twbrHel3o/hqdefault.jpg", "youtube_id": "J1twbrHel3o", "content_kind": "Video", "readable_id": "standard-error-of-the-mean"}, {"translated_youtube_id": "0ZstEh_8bYc", "relative_url": "/video/sampling-distribution-example-problem", "has_questions": false, "keywords": "statistics, sample, distribution, sampling, mean, standard, deviation, error, CC_7_SP_8_c", "ka_url": "http://www.khanacademy.org/video/sampling-distribution-example-problem", "duration": 868, "translated_title": "Sampling distribution example problem", "translated_description_html": "Figuring out the probability of running out of water on a camping trip", "id": "6022796", "description_html": "Figuring out the probability of running out of water on a camping trip", "title": "Sampling distribution example problem", "progress_key": "v6022796", "edit_slug": "edit/v/6022796", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the probability of running out of water on a camping trip", "extra_properties": null, "node_slug": "v/sampling-distribution-example-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0ZstEh_8bYc.mp4/0ZstEh_8bYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0ZstEh_8bYc.mp4/0ZstEh_8bYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0ZstEh_8bYc.m3u8/0ZstEh_8bYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0ZstEh_8bYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022796", "sha": "18f09628e8db498ae05cd423019e2adc6686e747", "translated_description": "Figuring out the probability of running out of water on a camping trip", "image_url": "https://img.youtube.com/vi/0ZstEh_8bYc/hqdefault.jpg", "youtube_id": "0ZstEh_8bYc", "content_kind": "Video", "readable_id": "sampling-distribution-example-problem"}], "twitter_url": "", "translated_description": "In this tutorial, we experience one of the most exciting ideas in statistics--the central limit theorem. Without it, it would be a lot harder to make any inferences about population parameters given sample statistics. It tells us that, regardless of what the population distribution looks like, the distribution of the sample means (you'll learn what that is) can be normal.\n\nGood idea to understand a bit about normal distributions before diving into this tutorial.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we experience one of the most exciting ideas in statistics--the central limit theorem. Without it, it would be a lot harder to make any inferences about population parameters given sample statistics. It tells us that, regardless of what the population distribution looks like, the distribution of the sample means (you'll learn what that is) can be normal.\n\nGood idea to understand a bit about normal distributions before diving into this tutorial.", "x_pos": 0.0, "node_slug": "sampling_distribution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf9e44b70", "topic_page_url": "/math/probability/statistics-inferential/sampling_distribution", "extended_slug": "math/probability/statistics-inferential/sampling_distribution", "slug": "sampling_distribution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "759a7ceb4e7762278fa09cb4cac29bbdb096c28e", "standalone_title": "Sampling distribution", "y_pos": 0.0, "current_revision_key": "759a7ceb4e7762278fa09cb4cac29bbdb096c28e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/confidence-intervals", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals", "translated_standalone_title": "Confident intervals", "translated_title": "Confidence intervals", "gplus_url": "", "id": "xa06d7d05", "old_key_name": "TFfdGG6nUBLQB46q4I7Uhq6Eh06lf91xlq0V9790", "hide": false, "title": "Confidence intervals", "child_data": [{"kind": "Video", "id": 6022797}, {"kind": "Video", "id": 6022802}, {"kind": "Video", "id": 6022803}], "children": [{"translated_youtube_id": "bekNKJoxYbQ", "relative_url": "/video/confidence-interval-1", "has_questions": false, "keywords": "inferential, statistics, population, sample, distribution, mean, confidence, interval", "ka_url": "http://www.khanacademy.org/video/confidence-interval-1", "duration": 843, "translated_title": "Confidence interval 1", "translated_description_html": "Estimating the probability that the true population mean lies within a range around a sample mean.", "id": "6022797", "description_html": "Estimating the probability that the true population mean lies within a range around a sample mean.", "title": "Confidence interval 1", "progress_key": "v6022797", "edit_slug": "edit/v/6022797", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Estimating the probability that the true population mean lies within a range around a sample mean.", "extra_properties": null, "node_slug": "v/confidence-interval-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bekNKJoxYbQ.mp4/bekNKJoxYbQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bekNKJoxYbQ.mp4/bekNKJoxYbQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bekNKJoxYbQ.m3u8/bekNKJoxYbQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bekNKJoxYbQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022797", "sha": "9dcf07db466354061a5a8fe8d8db0adf479e1707", "translated_description": "Estimating the probability that the true population mean lies within a range around a sample mean.", "image_url": "https://img.youtube.com/vi/bekNKJoxYbQ/hqdefault.jpg", "youtube_id": "bekNKJoxYbQ", "content_kind": "Video", "readable_id": "confidence-interval-1"}, {"translated_youtube_id": "SeQeYVJZ2gE", "relative_url": "/video/confidence-interval-example", "has_questions": false, "keywords": "Confidence, Interval, Example, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/confidence-interval-example", "duration": 1116, "translated_title": "Confidence interval example", "translated_description_html": "Confidence Interval Example", "id": "6022802", "description_html": "Confidence Interval Example", "title": "Confidence interval example", "progress_key": "v6022802", "edit_slug": "edit/v/6022802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Confidence Interval Example", "extra_properties": null, "node_slug": "v/confidence-interval-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SeQeYVJZ2gE.mp4/SeQeYVJZ2gE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SeQeYVJZ2gE.mp4/SeQeYVJZ2gE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SeQeYVJZ2gE.m3u8/SeQeYVJZ2gE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SeQeYVJZ2gE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022802", "sha": "d71c0165b81b0c14c598afc330954287b2deef87", "translated_description": "Confidence Interval Example", "image_url": "https://img.youtube.com/vi/SeQeYVJZ2gE/hqdefault.jpg", "youtube_id": "SeQeYVJZ2gE", "content_kind": "Video", "readable_id": "confidence-interval-example"}, {"translated_youtube_id": "K4KDLWENXm0", "relative_url": "/video/small-sample-size-confidence-intervals", "has_questions": false, "keywords": "standard, deviation, sample, sampling, distribution, t-distribution", "ka_url": "http://www.khanacademy.org/video/small-sample-size-confidence-intervals", "duration": 671, "translated_title": "Small sample size confidence intervals", "translated_description_html": "Constructing small sample size confidence intervals using t-distributions", "id": "6022803", "description_html": "Constructing small sample size confidence intervals using t-distributions", "title": "Small sample size confidence intervals", "progress_key": "v6022803", "edit_slug": "edit/v/6022803", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Constructing small sample size confidence intervals using t-distributions", "extra_properties": null, "node_slug": "v/small-sample-size-confidence-intervals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K4KDLWENXm0.mp4/K4KDLWENXm0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K4KDLWENXm0.mp4/K4KDLWENXm0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K4KDLWENXm0.m3u8/K4KDLWENXm0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K4KDLWENXm0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022803", "sha": "84ad449401e62ee68da966e7fc74f652613b6847", "translated_description": "Constructing small sample size confidence intervals using t-distributions", "image_url": "https://img.youtube.com/vi/K4KDLWENXm0/hqdefault.jpg", "youtube_id": "K4KDLWENXm0", "content_kind": "Video", "readable_id": "small-sample-size-confidence-intervals"}], "twitter_url": "", "translated_description": "We all have confidence intervals (\"I'm the king of the world!!!!\") and non-confidence intervals (\"No one loves me\"). That is not what this tutorial is about.\n\nThis tutorial takes what you already know about the central limit theorem, sampling distributions, and z-scores and uses these tools to dive into the world of inferential statistics. It may seem magical at first, but from our sample, we can now make inferences about the probability of our population mean actually being in an interval.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We all have confidence intervals (\"I'm the king of the world!!!!\") and non-confidence intervals (\"No one loves me\"). That is not what this tutorial is about.\n\nThis tutorial takes what you already know about the central limit theorem, sampling distributions, and z-scores and uses these tools to dive into the world of inferential statistics. It may seem magical at first, but from our sample, we can now make inferences about the probability of our population mean actually being in an interval.", "x_pos": 0.0, "node_slug": "confidence-intervals", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa06d7d05", "topic_page_url": "/math/probability/statistics-inferential/confidence-intervals", "extended_slug": "math/probability/statistics-inferential/confidence-intervals", "slug": "confidence-intervals", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a1e6026e8acf960defe9db38de464cf1ccac87ea", "standalone_title": "Confident intervals", "y_pos": 0.0, "current_revision_key": "a1e6026e8acf960defe9db38de464cf1ccac87ea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/margin-of-error", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error", "translated_standalone_title": "Bernoulli distributions and margin of error", "translated_title": "Bernoulli distributions and margin of error", "gplus_url": "", "id": "x3a420a07", "old_key_name": "DtoOTmz_iMk-vV_hE7UMJTex06Kc73mEpn6AI1r-", "hide": false, "title": "Bernoulli distributions and margin of error", "child_data": [{"kind": "Video", "id": 6022798}, {"kind": "Video", "id": 6022799}, {"kind": "Video", "id": 6022800}, {"kind": "Video", "id": 6022801}], "children": [{"translated_youtube_id": "O8vB1eInP_8", "relative_url": "/video/mean-and-variance-of-bernoulli-distribution-example", "has_questions": false, "keywords": "Mean, and, Variance, of, Bernoulli, Distribution, Example", "ka_url": "http://www.khanacademy.org/video/mean-and-variance-of-bernoulli-distribution-example", "duration": 500, "translated_title": "Mean and variance of Bernoulli distribution example", "translated_description_html": "Mean and Variance of Bernoulli Distribution Example", "id": "6022798", "description_html": "Mean and Variance of Bernoulli Distribution Example", "title": "Mean and variance of Bernoulli distribution example", "progress_key": "v6022798", "edit_slug": "edit/v/6022798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mean and Variance of Bernoulli Distribution Example", "extra_properties": null, "node_slug": "v/mean-and-variance-of-bernoulli-distribution-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O8vB1eInP_8.mp4/O8vB1eInP_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O8vB1eInP_8.mp4/O8vB1eInP_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O8vB1eInP_8.m3u8/O8vB1eInP_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O8vB1eInP_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022798", "sha": "5166246b562ac17d0219da3c02c381d8deff171a", "translated_description": "Mean and Variance of Bernoulli Distribution Example", "image_url": "https://img.youtube.com/vi/O8vB1eInP_8/hqdefault.jpg", "youtube_id": "O8vB1eInP_8", "content_kind": "Video", "readable_id": "mean-and-variance-of-bernoulli-distribution-example"}, {"translated_youtube_id": "ry81_iSHt6E", "relative_url": "/video/bernoulli-distribution-mean-and-variance-formulas", "has_questions": false, "keywords": "Bernoulli, Distribution, Mean, and, Variance, Formulas", "ka_url": "http://www.khanacademy.org/video/bernoulli-distribution-mean-and-variance-formulas", "duration": 419, "translated_title": "Bernoulli distribution mean and variance formulas", "translated_description_html": "Bernoulli Distribution Mean and Variance Formulas", "id": "6022799", "description_html": "Bernoulli Distribution Mean and Variance Formulas", "title": "Bernoulli distribution mean and variance formulas", "progress_key": "v6022799", "edit_slug": "edit/v/6022799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bernoulli Distribution Mean and Variance Formulas", "extra_properties": null, "node_slug": "v/bernoulli-distribution-mean-and-variance-formulas", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ry81_iSHt6E.mp4/ry81_iSHt6E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ry81_iSHt6E.mp4/ry81_iSHt6E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ry81_iSHt6E.m3u8/ry81_iSHt6E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ry81_iSHt6E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022799", "sha": "7aa0c1ebbc8711e41c24bb5b4c5c582554a39502", "translated_description": "Bernoulli Distribution Mean and Variance Formulas", "image_url": "https://img.youtube.com/vi/ry81_iSHt6E/hqdefault.jpg", "youtube_id": "ry81_iSHt6E", "content_kind": "Video", "readable_id": "bernoulli-distribution-mean-and-variance-formulas"}, {"translated_youtube_id": "OwPSuHXmiPw", "relative_url": "/video/margin-of-error-1", "has_questions": false, "keywords": "margin, of, error, confindence, interval, sampling, distribution, sample, mean, standard, deviation, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/margin-of-error-1", "duration": 902, "translated_title": "Margin of error 1", "translated_description_html": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "id": "6022800", "description_html": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "title": "Margin of error 1", "progress_key": "v6022800", "edit_slug": "edit/v/6022800", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "extra_properties": null, "node_slug": "v/margin-of-error-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OwPSuHXmiPw.mp4/OwPSuHXmiPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OwPSuHXmiPw.mp4/OwPSuHXmiPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OwPSuHXmiPw.m3u8/OwPSuHXmiPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OwPSuHXmiPw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022800", "sha": "ea684cfe22979b5c30aac83b7f414f7829754ccf", "translated_description": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "image_url": "https://img.youtube.com/vi/OwPSuHXmiPw/hqdefault.jpg", "youtube_id": "OwPSuHXmiPw", "content_kind": "Video", "readable_id": "margin-of-error-1"}, {"translated_youtube_id": "YclQE2XtaLw", "relative_url": "/video/margin-of-error-2", "has_questions": false, "keywords": "margin, of, error, confindence, interval, sampling, distribution, sample, mean, standard, deviation, CC_7_SP_1, CC_7_SP_2", "ka_url": "http://www.khanacademy.org/video/margin-of-error-2", "duration": 605, "translated_title": "Margin of error 2", "translated_description_html": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "id": "6022801", "description_html": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "title": "Margin of error 2", "progress_key": "v6022801", "edit_slug": "edit/v/6022801", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "extra_properties": null, "node_slug": "v/margin-of-error-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YclQE2XtaLw.mp4/YclQE2XtaLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YclQE2XtaLw.mp4/YclQE2XtaLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YclQE2XtaLw.m3u8/YclQE2XtaLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YclQE2XtaLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022801", "sha": "35e3747fc9a9682c8b0effd7445495a85fb33c37", "translated_description": "Finding the 95% confidence interval for the proportion of a population voting for a candidate.", "image_url": "https://img.youtube.com/vi/YclQE2XtaLw/hqdefault.jpg", "youtube_id": "YclQE2XtaLw", "content_kind": "Video", "readable_id": "margin-of-error-2"}], "twitter_url": "", "translated_description": "Ever wondered what pollsters are talking about when they said that there is a 3% \"margin of error\" in their results. Well, this tutorial will not only explain what it means, but give you the tools and understanding to be a pollster yourself!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Ever wondered what pollsters are talking about when they said that there is a 3% \"margin of error\" in their results. Well, this tutorial will not only explain what it means, but give you the tools and understanding to be a pollster yourself!", "x_pos": 0.0, "node_slug": "margin-of-error", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3a420a07", "topic_page_url": "/math/probability/statistics-inferential/margin-of-error", "extended_slug": "math/probability/statistics-inferential/margin-of-error", "slug": "margin-of-error", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4ac278e1d348a50d05de0bff8d1793c023d7ba59", "standalone_title": "Bernoulli distributions and margin of error", "y_pos": 0.0, "current_revision_key": "4ac278e1d348a50d05de0bff8d1793c023d7ba59", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/hypothesis-testing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing", "translated_standalone_title": "Hypothesis testing with one sample", "translated_title": "Hypothesis testing with one sample", "gplus_url": "", "id": "xf394fbee", "old_key_name": "329ploYTHZwOiAwmfgavN_6U1nmiClHu8cefZVpL", "hide": false, "title": "Hypothesis testing with one sample", "child_data": [{"kind": "Video", "id": 6022804}, {"kind": "Video", "id": 6022805}, {"kind": "Video", "id": 6022807}, {"kind": "Video", "id": 6022806}, {"kind": "Video", "id": 6022808}, {"kind": "Video", "id": 6022809}, {"kind": "Video", "id": 6022810}], "children": [{"translated_youtube_id": "-FtlH4svqx4", "relative_url": "/video/hypothesis-testing-and-p-values", "has_questions": false, "keywords": "Hypothesis, Testing, and, P-values", "ka_url": "http://www.khanacademy.org/video/hypothesis-testing-and-p-values", "duration": 686, "translated_title": "Hypothesis testing and p-values", "translated_description_html": "Hypothesis Testing and P-values", "id": "6022804", "description_html": "Hypothesis Testing and P-values", "title": "Hypothesis testing and p-values", "progress_key": "v6022804", "edit_slug": "edit/v/6022804", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hypothesis Testing and P-values", "extra_properties": null, "node_slug": "v/hypothesis-testing-and-p-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-FtlH4svqx4.mp4/-FtlH4svqx4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-FtlH4svqx4.mp4/-FtlH4svqx4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-FtlH4svqx4.m3u8/-FtlH4svqx4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-FtlH4svqx4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022804", "sha": "46bd2aab778d1550cce6b698c79b95230e01ebf2", "translated_description": "Hypothesis Testing and P-values", "image_url": "https://img.youtube.com/vi/-FtlH4svqx4/hqdefault.jpg", "youtube_id": "-FtlH4svqx4", "content_kind": "Video", "readable_id": "hypothesis-testing-and-p-values"}, {"translated_youtube_id": "mvye6X_0upA", "relative_url": "/video/one-tailed-and-two-tailed-tests", "has_questions": false, "keywords": "One-Tailed, and, Two-Tailed, Tests", "ka_url": "http://www.khanacademy.org/video/one-tailed-and-two-tailed-tests", "duration": 394, "translated_title": "One-tailed and two-tailed tests", "translated_description_html": "One-Tailed and Two-Tailed Tests", "id": "6022805", "description_html": "One-Tailed and Two-Tailed Tests", "title": "One-tailed and two-tailed tests", "progress_key": "v6022805", "edit_slug": "edit/v/6022805", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "One-Tailed and Two-Tailed Tests", "extra_properties": null, "node_slug": "v/one-tailed-and-two-tailed-tests", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mvye6X_0upA.mp4/mvye6X_0upA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mvye6X_0upA.mp4/mvye6X_0upA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mvye6X_0upA.m3u8/mvye6X_0upA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mvye6X_0upA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022805", "sha": "139298482e6d77fa32834cefbbadda2cd4a533fa", "translated_description": "One-Tailed and Two-Tailed Tests", "image_url": "https://img.youtube.com/vi/mvye6X_0upA/hqdefault.jpg", "youtube_id": "mvye6X_0upA", "content_kind": "Video", "readable_id": "one-tailed-and-two-tailed-tests"}, {"translated_youtube_id": "EowIec7Y8HM", "relative_url": "/video/type-1-errors", "has_questions": false, "keywords": "Type, Errors, hypothesis, testing", "ka_url": "http://www.khanacademy.org/video/type-1-errors", "duration": 204, "translated_title": "Type 1 errors", "translated_description_html": "Type 1 Errors", "id": "6022807", "description_html": "Type 1 Errors", "title": "Type 1 errors", "progress_key": "v6022807", "edit_slug": "edit/v/6022807", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Type 1 Errors", "extra_properties": null, "node_slug": "v/type-1-errors", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EowIec7Y8HM.mp4/EowIec7Y8HM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EowIec7Y8HM.mp4/EowIec7Y8HM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EowIec7Y8HM.m3u8/EowIec7Y8HM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EowIec7Y8HM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022807", "sha": "f18705dbb913c1e27ca971acc5d7ed2bb012b5ce", "translated_description": "Type 1 Errors", "image_url": "https://img.youtube.com/vi/EowIec7Y8HM/hqdefault.jpg", "youtube_id": "EowIec7Y8HM", "content_kind": "Video", "readable_id": "type-1-errors"}, {"translated_youtube_id": "5ABpqVSx33I", "relative_url": "/video/z-statistics-vs--t-statistics", "has_questions": false, "keywords": "Z-statistics, vs., T-statistics, t-distribution", "ka_url": "http://www.khanacademy.org/video/z-statistics-vs--t-statistics", "duration": 399, "translated_title": "Z-statistics vs. T-statistics", "translated_description_html": "Z-statistics vs. T-statistics", "id": "6022806", "description_html": "Z-statistics vs. T-statistics", "title": "Z-statistics vs. T-statistics", "progress_key": "v6022806", "edit_slug": "edit/v/6022806", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Z-statistics vs. T-statistics", "extra_properties": null, "node_slug": "v/z-statistics-vs--t-statistics", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ABpqVSx33I.mp4/5ABpqVSx33I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ABpqVSx33I.mp4/5ABpqVSx33I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ABpqVSx33I.m3u8/5ABpqVSx33I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ABpqVSx33I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022806", "sha": "ddedab0e9103fc02ac223088d50a33e7204195e2", "translated_description": "Z-statistics vs. T-statistics", "image_url": "https://img.youtube.com/vi/5ABpqVSx33I/hqdefault.jpg", "youtube_id": "5ABpqVSx33I", "content_kind": "Video", "readable_id": "z-statistics-vs--t-statistics"}, {"translated_youtube_id": "D2sMsmL0ScQ", "relative_url": "/video/small-sample-hypothesis-test", "has_questions": false, "keywords": "Small, Sample, Hypothesis, Test, t-statistic", "ka_url": "http://www.khanacademy.org/video/small-sample-hypothesis-test", "duration": 544, "translated_title": "Small sample hypothesis test", "translated_description_html": "Small Sample Hypothesis Test", "id": "6022808", "description_html": "Small Sample Hypothesis Test", "title": "Small sample hypothesis test", "progress_key": "v6022808", "edit_slug": "edit/v/6022808", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Small Sample Hypothesis Test", "extra_properties": null, "node_slug": "v/small-sample-hypothesis-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2sMsmL0ScQ.mp4/D2sMsmL0ScQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D2sMsmL0ScQ.mp4/D2sMsmL0ScQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2sMsmL0ScQ.m3u8/D2sMsmL0ScQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D2sMsmL0ScQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022808", "sha": "627c365574f8ca7c831984fa31ee72367ab962e1", "translated_description": "Small Sample Hypothesis Test", "image_url": "https://img.youtube.com/vi/D2sMsmL0ScQ/hqdefault.jpg", "youtube_id": "D2sMsmL0ScQ", "content_kind": "Video", "readable_id": "small-sample-hypothesis-test"}, {"translated_youtube_id": "hV4pdjHCKuA", "relative_url": "/video/t-statistic-confidence-interval", "has_questions": false, "keywords": "T-Statistic, Confidence, Interval, (for, small, sample, sizes)", "ka_url": "http://www.khanacademy.org/video/t-statistic-confidence-interval", "duration": 707, "translated_title": "T-statistic confidence interval", "translated_description_html": "T-Statistic Confidence Interval (for small sample sizes)", "id": "6022809", "description_html": "T-Statistic Confidence Interval (for small sample sizes)", "title": "T-statistic confidence interval", "progress_key": "v6022809", "edit_slug": "edit/v/6022809", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "T-Statistic Confidence Interval (for small sample sizes)", "extra_properties": null, "node_slug": "v/t-statistic-confidence-interval", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hV4pdjHCKuA.mp4/hV4pdjHCKuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hV4pdjHCKuA.mp4/hV4pdjHCKuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hV4pdjHCKuA.m3u8/hV4pdjHCKuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hV4pdjHCKuA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022809", "sha": "48c903dfc09f9c7195cc661ac32c12e6e89540f6", "translated_description": "T-Statistic Confidence Interval (for small sample sizes)", "image_url": "https://img.youtube.com/vi/hV4pdjHCKuA/hqdefault.jpg", "youtube_id": "hV4pdjHCKuA", "content_kind": "Video", "readable_id": "t-statistic-confidence-interval"}, {"translated_youtube_id": "1JT9oODsClE", "relative_url": "/video/large-sample-proportion-hypothesis-testing", "has_questions": false, "keywords": "Large, Sample, Proportion, Hypothesis, Testing", "ka_url": "http://www.khanacademy.org/video/large-sample-proportion-hypothesis-testing", "duration": 870, "translated_title": "Large sample proportion hypothesis testing", "translated_description_html": "Large Sample Proportion Hypothesis Testing", "id": "6022810", "description_html": "Large Sample Proportion Hypothesis Testing", "title": "Large sample proportion hypothesis testing", "progress_key": "v6022810", "edit_slug": "edit/v/6022810", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Large Sample Proportion Hypothesis Testing", "extra_properties": null, "node_slug": "v/large-sample-proportion-hypothesis-testing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1JT9oODsClE.mp4/1JT9oODsClE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1JT9oODsClE.mp4/1JT9oODsClE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1JT9oODsClE.m3u8/1JT9oODsClE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1JT9oODsClE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022810", "sha": "de94a861f8ea22c3d929f2153500e495819dc2ea", "translated_description": "Large Sample Proportion Hypothesis Testing", "image_url": "https://img.youtube.com/vi/1JT9oODsClE/hqdefault.jpg", "youtube_id": "1JT9oODsClE", "content_kind": "Video", "readable_id": "large-sample-proportion-hypothesis-testing"}], "twitter_url": "", "translated_description": "This tutorial helps us answer one of the most important questions not only in statistics, but all of science: how confident are we that a result from a new drug or process is not due to random chance but due to an actual impact.\n\nIf you are familiar with sampling distributions and confidence intervals, you're ready for this adventure!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial helps us answer one of the most important questions not only in statistics, but all of science: how confident are we that a result from a new drug or process is not due to random chance but due to an actual impact.\n\nIf you are familiar with sampling distributions and confidence intervals, you're ready for this adventure!", "x_pos": 0.0, "node_slug": "hypothesis-testing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf394fbee", "topic_page_url": "/math/probability/statistics-inferential/hypothesis-testing", "extended_slug": "math/probability/statistics-inferential/hypothesis-testing", "slug": "hypothesis-testing", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "864c1351656985379587badcf41a5545e615c4ce", "standalone_title": "Hypothesis testing with one sample", "y_pos": 0.0, "current_revision_key": "864c1351656985379587badcf41a5545e615c4ce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/hypothesis-testing-two-samples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples", "translated_standalone_title": "Hypothesis testing with two samples", "translated_title": "Hypothesis testing with two samples", "gplus_url": "", "id": "x04df695d", "old_key_name": "74cKrhYZ0aL8yiNbCP1p4FAL5IgrOaUFUW7QUGoo", "hide": false, "title": "Hypothesis testing with two samples", "child_data": [{"kind": "Video", "id": 6022811}, {"kind": "Video", "id": 6022812}, {"kind": "Video", "id": 6022813}, {"kind": "Video", "id": 6022814}, {"kind": "Video", "id": 6022815}, {"kind": "Video", "id": 6022816}, {"kind": "Video", "id": 6022817}, {"kind": "Video", "id": 6022840}], "children": [{"translated_youtube_id": "rLdoKZ7w0xI", "relative_url": "/video/variance-of-differences-of-random-variables", "has_questions": false, "keywords": "Variance, of, Differences, Random, Variables, expected, value", "ka_url": "http://www.khanacademy.org/video/variance-of-differences-of-random-variables", "duration": 647, "translated_title": "Variance of differences of random variables", "translated_description_html": "Variance of Differences of Random Variables", "id": "6022811", "description_html": "Variance of Differences of Random Variables", "title": "Variance of differences of random variables", "progress_key": "v6022811", "edit_slug": "edit/v/6022811", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Variance of Differences of Random Variables", "extra_properties": null, "node_slug": "v/variance-of-differences-of-random-variables", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rLdoKZ7w0xI.mp4/rLdoKZ7w0xI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rLdoKZ7w0xI.mp4/rLdoKZ7w0xI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rLdoKZ7w0xI.m3u8/rLdoKZ7w0xI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rLdoKZ7w0xI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022811", "sha": "a2e7f9b1ab50d61659d58140f94c17ea9620fb3d", "translated_description": "Variance of Differences of Random Variables", "image_url": "https://img.youtube.com/vi/rLdoKZ7w0xI/hqdefault.jpg", "youtube_id": "rLdoKZ7w0xI", "content_kind": "Video", "readable_id": "variance-of-differences-of-random-variables"}, {"translated_youtube_id": "TcIDXqmt74A", "relative_url": "/video/difference-of-sample-means-distribution", "has_questions": false, "keywords": "Difference, of, Sample, Means, Distribution", "ka_url": "http://www.khanacademy.org/video/difference-of-sample-means-distribution", "duration": 738, "translated_title": "Difference of sample means distribution", "translated_description_html": "Difference of Sample Means Distribution", "id": "6022812", "description_html": "Difference of Sample Means Distribution", "title": "Difference of sample means distribution", "progress_key": "v6022812", "edit_slug": "edit/v/6022812", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference of Sample Means Distribution", "extra_properties": null, "node_slug": "v/difference-of-sample-means-distribution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.mp4/TcIDXqmt74A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.mp4/TcIDXqmt74A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.m3u8/TcIDXqmt74A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TcIDXqmt74A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022812", "sha": "db982dc78cca980a4ccd321ff7566b27f89ea11a", "translated_description": "Difference of Sample Means Distribution", "image_url": "https://img.youtube.com/vi/TcIDXqmt74A/hqdefault.jpg", "youtube_id": "TcIDXqmt74A", "content_kind": "Video", "readable_id": "difference-of-sample-means-distribution"}, {"translated_youtube_id": "hxZ6uooEJOk", "relative_url": "/video/confidence-interval-of-difference-of-means", "has_questions": false, "keywords": "Confidence, Interval, of, Difference, Means, CC_7_SP_2, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/confidence-interval-of-difference-of-means", "duration": 949, "translated_title": "Confidence interval of difference of means", "translated_description_html": "Confidence Interval of Difference of Means", "id": "6022813", "description_html": "Confidence Interval of Difference of Means", "title": "Confidence interval of difference of means", "progress_key": "v6022813", "edit_slug": "edit/v/6022813", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Confidence Interval of Difference of Means", "extra_properties": null, "node_slug": "v/confidence-interval-of-difference-of-means", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hxZ6uooEJOk.mp4/hxZ6uooEJOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hxZ6uooEJOk.mp4/hxZ6uooEJOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hxZ6uooEJOk.m3u8/hxZ6uooEJOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hxZ6uooEJOk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022813", "sha": "00d807cae6a64c1a5618f68c140a5ea3fe219146", "translated_description": "Confidence Interval of Difference of Means", "image_url": "https://img.youtube.com/vi/hxZ6uooEJOk/hqdefault.jpg", "youtube_id": "hxZ6uooEJOk", "content_kind": "Video", "readable_id": "confidence-interval-of-difference-of-means"}, {"translated_youtube_id": "yQsCMnz9wO8", "relative_url": "/video/clarification-of-confidence-interval-of-difference-of-means", "has_questions": false, "keywords": "Clarification, of, Confidence, Interval, Difference, Means, CC_7_SP_2, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/clarification-of-confidence-interval-of-difference-of-means", "duration": 161, "translated_title": "Clarification of confidence interval of difference of means", "translated_description_html": "Clarification of Confidence Interval of Difference of Means", "id": "6022814", "description_html": "Clarification of Confidence Interval of Difference of Means", "title": "Clarification of confidence interval of difference of means", "progress_key": "v6022814", "edit_slug": "edit/v/6022814", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Clarification of Confidence Interval of Difference of Means", "extra_properties": null, "node_slug": "v/clarification-of-confidence-interval-of-difference-of-means", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yQsCMnz9wO8.mp4/yQsCMnz9wO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yQsCMnz9wO8.mp4/yQsCMnz9wO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yQsCMnz9wO8.m3u8/yQsCMnz9wO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yQsCMnz9wO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022814", "sha": "e396a07c2704170da989ce7c36e84175eb223221", "translated_description": "Clarification of Confidence Interval of Difference of Means", "image_url": "https://img.youtube.com/vi/yQsCMnz9wO8/hqdefault.jpg", "youtube_id": "yQsCMnz9wO8", "content_kind": "Video", "readable_id": "clarification-of-confidence-interval-of-difference-of-means"}, {"translated_youtube_id": "N984XGLjQfs", "relative_url": "/video/hypothesis-test-for-difference-of-means", "has_questions": false, "keywords": "Hypothesis, Test, for, Difference, of, Means", "ka_url": "http://www.khanacademy.org/video/hypothesis-test-for-difference-of-means", "duration": 606, "translated_title": "Hypothesis test for difference of means", "translated_description_html": "Hypothesis Test for Difference of Means", "id": "6022815", "description_html": "Hypothesis Test for Difference of Means", "title": "Hypothesis test for difference of means", "progress_key": "v6022815", "edit_slug": "edit/v/6022815", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hypothesis Test for Difference of Means", "extra_properties": null, "node_slug": "v/hypothesis-test-for-difference-of-means", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.mp4/N984XGLjQfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.mp4/N984XGLjQfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.m3u8/N984XGLjQfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N984XGLjQfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022815", "sha": "5b60aa3cb1a02e8a5cf69e2bdc5b91d93e76d119", "translated_description": "Hypothesis Test for Difference of Means", "image_url": "https://img.youtube.com/vi/N984XGLjQfs/hqdefault.jpg", "youtube_id": "N984XGLjQfs", "content_kind": "Video", "readable_id": "hypothesis-test-for-difference-of-means"}, {"translated_youtube_id": "a1Ye5RcWOqg", "relative_url": "/video/comparing-population-proportions-1", "has_questions": false, "keywords": "Comparing, Population, Proportions, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/comparing-population-proportions-1", "duration": 647, "translated_title": "Comparing population proportions 1", "translated_description_html": "Comparing Population Proportions 1", "id": "6022816", "description_html": "Comparing Population Proportions 1", "title": "Comparing population proportions 1", "progress_key": "v6022816", "edit_slug": "edit/v/6022816", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Population Proportions 1", "extra_properties": null, "node_slug": "v/comparing-population-proportions-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a1Ye5RcWOqg.mp4/a1Ye5RcWOqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a1Ye5RcWOqg.mp4/a1Ye5RcWOqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a1Ye5RcWOqg.m3u8/a1Ye5RcWOqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a1Ye5RcWOqg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022816", "sha": "3835559c6bf057a7c3cef050dad0589229967225", "translated_description": "Comparing Population Proportions 1", "image_url": "https://img.youtube.com/vi/a1Ye5RcWOqg/hqdefault.jpg", "youtube_id": "a1Ye5RcWOqg", "content_kind": "Video", "readable_id": "comparing-population-proportions-1"}, {"translated_youtube_id": "MNbat1lrJW4", "relative_url": "/video/comparing-population-proportions-2", "has_questions": false, "keywords": "Comparing, Population, Proportions, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/comparing-population-proportions-2", "duration": 600, "translated_title": "Comparing population proportions 2", "translated_description_html": "Comparing Population Proportions 2", "id": "6022817", "description_html": "Comparing Population Proportions 2", "title": "Comparing population proportions 2", "progress_key": "v6022817", "edit_slug": "edit/v/6022817", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing Population Proportions 2", "extra_properties": null, "node_slug": "v/comparing-population-proportions-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:54:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNbat1lrJW4.mp4/MNbat1lrJW4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNbat1lrJW4.mp4/MNbat1lrJW4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MNbat1lrJW4.m3u8/MNbat1lrJW4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MNbat1lrJW4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022817", "sha": "c69795e2d7683e9f689e9582a31dfb0db50cacfc", "translated_description": "Comparing Population Proportions 2", "image_url": "https://img.youtube.com/vi/MNbat1lrJW4/hqdefault.jpg", "youtube_id": "MNbat1lrJW4", "content_kind": "Video", "readable_id": "comparing-population-proportions-2"}, {"translated_youtube_id": "dvSa_tx04hw", "relative_url": "/video/hypothesis-test-comparing-population-proportions", "has_questions": false, "keywords": "Hypothesis, Test, Comparing, Population, Proportions, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/hypothesis-test-comparing-population-proportions", "duration": 973, "translated_title": "Hypothesis test comparing population proportions", "translated_description_html": "Hypothesis Test Comparing Population Proportions", "id": "6022840", "description_html": "Hypothesis Test Comparing Population Proportions", "title": "Hypothesis test comparing population proportions", "progress_key": "v6022840", "edit_slug": "edit/v/6022840", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hypothesis Test Comparing Population Proportions", "extra_properties": null, "node_slug": "v/hypothesis-test-comparing-population-proportions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:54:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dvSa_tx04hw.mp4/dvSa_tx04hw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dvSa_tx04hw.mp4/dvSa_tx04hw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dvSa_tx04hw.m3u8/dvSa_tx04hw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dvSa_tx04hw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022840", "sha": "3a6f3cb02b174c7b77e119554a07fd34e767dca4", "translated_description": "Hypothesis Test Comparing Population Proportions", "image_url": "https://img.youtube.com/vi/dvSa_tx04hw/hqdefault.jpg", "youtube_id": "dvSa_tx04hw", "content_kind": "Video", "readable_id": "hypothesis-test-comparing-population-proportions"}], "twitter_url": "", "translated_description": "You're already familiar with hypothesis testing with one sample. In this tutorial, we'll go further by testing whether the difference between the means of two samples seems to be unlikely purely due to chance.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're already familiar with hypothesis testing with one sample. In this tutorial, we'll go further by testing whether the difference between the means of two samples seems to be unlikely purely due to chance.", "x_pos": 0.0, "node_slug": "hypothesis-testing-two-samples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04df695d", "topic_page_url": "/math/probability/statistics-inferential/hypothesis-testing-two-samples", "extended_slug": "math/probability/statistics-inferential/hypothesis-testing-two-samples", "slug": "hypothesis-testing-two-samples", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7b7cc47086a829cfadfea1911664bd54e656edd5", "standalone_title": "Hypothesis testing with two samples", "y_pos": 0.0, "current_revision_key": "7b7cc47086a829cfadfea1911664bd54e656edd5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/chi-square", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/chi-square", "translated_standalone_title": "Chi-square probability distribution", "translated_title": "Chi-square probability distribution", "gplus_url": "", "id": "x5b4e7f0e", "old_key_name": "pKUnHUJy2PKtQwsF6w3CSMeSbKlatPvGEWxLoYcj", "hide": false, "title": "Chi-square probability distribution", "child_data": [{"kind": "Video", "id": 8187302}, {"kind": "Video", "id": 8187303}, {"kind": "Video", "id": 8187304}], "children": [{"translated_youtube_id": "dXB3cUGnaxQ", "relative_url": "/video/chi-square-distribution-introduction", "has_questions": false, "keywords": "Chi-Square, Distribution, Introduction, Chi-Squared", "ka_url": "http://www.khanacademy.org/video/chi-square-distribution-introduction", "duration": 623, "translated_title": "Chi-square distribution introduction", "translated_description_html": "Chi-Square Distribution Introduction", "id": "8187302", "description_html": "Chi-Square Distribution Introduction", "title": "Chi-square distribution introduction", "progress_key": "v8187302", "edit_slug": "edit/v/8187302", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chi-Square Distribution Introduction", "extra_properties": null, "node_slug": "v/chi-square-distribution-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dXB3cUGnaxQ.mp4/dXB3cUGnaxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dXB3cUGnaxQ.mp4/dXB3cUGnaxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dXB3cUGnaxQ.m3u8/dXB3cUGnaxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dXB3cUGnaxQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187302", "sha": "4f4657de2d2f629828e717bd86137ffbd629d638", "translated_description": "Chi-Square Distribution Introduction", "image_url": "https://img.youtube.com/vi/dXB3cUGnaxQ/hqdefault.jpg", "youtube_id": "dXB3cUGnaxQ", "content_kind": "Video", "readable_id": "chi-square-distribution-introduction"}, {"translated_youtube_id": "2QeDRsxSF9M", "relative_url": "/video/pearson-s-chi-square-test--goodness-of-fit", "has_questions": false, "keywords": "Pearson's, Chi, Square, Test, Goodness, of, Fit", "ka_url": "http://www.khanacademy.org/video/pearson-s-chi-square-test--goodness-of-fit", "duration": 708, "translated_title": "Pearson's chi square test (goodness of fit)", "translated_description_html": "Pearson's Chi Square Test (Goodness of Fit)", "id": "8187303", "description_html": "Pearson's Chi Square Test (Goodness of Fit)", "title": "Pearson's chi square test (goodness of fit)", "progress_key": "v8187303", "edit_slug": "edit/v/8187303", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pearson's Chi Square Test (Goodness of Fit)", "extra_properties": null, "node_slug": "v/pearson-s-chi-square-test--goodness-of-fit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2QeDRsxSF9M.mp4/2QeDRsxSF9M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2QeDRsxSF9M.mp4/2QeDRsxSF9M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2QeDRsxSF9M.m3u8/2QeDRsxSF9M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2QeDRsxSF9M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187303", "sha": "3f66c612ef49ed8dac4de3a2de650ab592733201", "translated_description": "Pearson's Chi Square Test (Goodness of Fit)", "image_url": "https://img.youtube.com/vi/2QeDRsxSF9M/hqdefault.jpg", "youtube_id": "2QeDRsxSF9M", "content_kind": "Video", "readable_id": "pearson-s-chi-square-test--goodness-of-fit"}, {"translated_youtube_id": "hpWdDmgsIRE", "relative_url": "/video/contingency-table-chi-square-test", "has_questions": false, "keywords": "Contingency, Table, Chi-Square, Test, CC_8_SP_4", "ka_url": "http://www.khanacademy.org/video/contingency-table-chi-square-test", "duration": 1057, "translated_title": "Contingency table chi-square test", "translated_description_html": "Contingency Table Chi-Square Test", "id": "8187304", "description_html": "Contingency Table Chi-Square Test", "title": "Contingency table chi-square test", "progress_key": "v8187304", "edit_slug": "edit/v/8187304", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Contingency Table Chi-Square Test", "extra_properties": null, "node_slug": "v/contingency-table-chi-square-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hpWdDmgsIRE.mp4/hpWdDmgsIRE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hpWdDmgsIRE.mp4/hpWdDmgsIRE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hpWdDmgsIRE.m3u8/hpWdDmgsIRE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hpWdDmgsIRE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187304", "sha": "7add277e2819ead6c3c0ef1b5d1f75cbd8922d5c", "translated_description": "Contingency Table Chi-Square Test", "image_url": "https://img.youtube.com/vi/hpWdDmgsIRE/hqdefault.jpg", "youtube_id": "hpWdDmgsIRE", "content_kind": "Video", "readable_id": "contingency-table-chi-square-test"}], "twitter_url": "", "translated_description": "You've gotten good at hypothesis testing when you can make assumptions about the underlying distributions. In this tutorial, we'll learn about a new distribution (the chi-square one) and how it can help you (yes, you) infer what an underlying distribution even is!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've gotten good at hypothesis testing when you can make assumptions about the underlying distributions. In this tutorial, we'll learn about a new distribution (the chi-square one) and how it can help you (yes, you) infer what an underlying distribution even is!", "x_pos": 0.0, "node_slug": "chi-square", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5b4e7f0e", "topic_page_url": "/math/probability/statistics-inferential/chi-square", "extended_slug": "math/probability/statistics-inferential/chi-square", "slug": "chi-square", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7de960e53679fc080e2ce52fdbebd2929c7c8659", "standalone_title": "Chi-square probability distribution", "y_pos": 0.0, "current_revision_key": "7de960e53679fc080e2ce52fdbebd2929c7c8659", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/probability/statistics-inferential/anova", "web_url": "", "ka_url": "http://www.khanacademy.org/math/probability/statistics-inferential/anova", "translated_standalone_title": "Analysis of variance", "translated_title": "Analysis of variance", "gplus_url": "", "id": "xbe77e59a", "old_key_name": "W8Jo8WrYadIpinbAZg7qS59Dl5b7d7GSu2cjLbOe", "hide": false, "title": "Analysis of variance", "child_data": [{"kind": "Video", "id": 8187305}, {"kind": "Video", "id": 8187306}, {"kind": "Video", "id": 8187307}], "children": [{"translated_youtube_id": "EFdlFoHI_0I", "relative_url": "/video/anova-1---calculating-sst--total-sum-of-squares", "has_questions": false, "keywords": "ANOVA, Calculating, SST, (Total, Sum, of, Squares), analysis, variance, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/anova-1---calculating-sst--total-sum-of-squares", "duration": 459, "translated_title": "ANOVA 1: Calculating SST (total sum of squares)", "translated_description_html": "Analysis of Variance 1 - Calculating SST (Total Sum of Squares)", "id": "8187305", "description_html": "Analysis of Variance 1 - Calculating SST (Total Sum of Squares)", "title": "ANOVA 1: Calculating SST (total sum of squares)", "progress_key": "v8187305", "edit_slug": "edit/v/8187305", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analysis of Variance 1 - Calculating SST (Total Sum of Squares)", "extra_properties": null, "node_slug": "v/anova-1---calculating-sst--total-sum-of-squares", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EFdlFoHI_0I.mp4/EFdlFoHI_0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EFdlFoHI_0I.mp4/EFdlFoHI_0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EFdlFoHI_0I.m3u8/EFdlFoHI_0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EFdlFoHI_0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187305", "sha": "12b41368253b583f15b5bd2aca70e654055e4866", "translated_description": "Analysis of Variance 1 - Calculating SST (Total Sum of Squares)", "image_url": "https://img.youtube.com/vi/EFdlFoHI_0I/hqdefault.jpg", "youtube_id": "EFdlFoHI_0I", "content_kind": "Video", "readable_id": "anova-1---calculating-sst--total-sum-of-squares"}, {"translated_youtube_id": "j9ZPMlVHJVs", "relative_url": "/video/anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi", "has_questions": false, "keywords": "ANOVA, Calculating, SSW, and, SSB, (Total, Sum, of, Squares, Within, Between).avi, CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi", "duration": 800, "translated_title": "ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)", "translated_description_html": "Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi", "id": "8187306", "description_html": "Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi", "title": "ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)", "progress_key": "v8187306", "edit_slug": "edit/v/8187306", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi", "extra_properties": null, "node_slug": "v/anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j9ZPMlVHJVs.mp4/j9ZPMlVHJVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j9ZPMlVHJVs.mp4/j9ZPMlVHJVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j9ZPMlVHJVs.m3u8/j9ZPMlVHJVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j9ZPMlVHJVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187306", "sha": "b1c6442f108a3410662d226048a5dcfa722cd2dd", "translated_description": "Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi", "image_url": "https://img.youtube.com/vi/j9ZPMlVHJVs/hqdefault.jpg", "youtube_id": "j9ZPMlVHJVs", "content_kind": "Video", "readable_id": "anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi"}, {"translated_youtube_id": "Xg8_iSkJpAE", "relative_url": "/video/anova-3--hypothesis-test-with-f-statistic", "has_questions": false, "keywords": "Analysis, of, Variance, -Hypothesis, Test, with, F-Statistic, (ANOVA), CC_7_SP_3, CC_7_SP_4", "ka_url": "http://www.khanacademy.org/video/anova-3--hypothesis-test-with-f-statistic", "duration": 614, "translated_title": "ANOVA 3: Hypothesis test with F-statistic", "translated_description_html": "Analysis of Variance 3 -Hypothesis Test with F-Statistic", "id": "8187307", "description_html": "Analysis of Variance 3 -Hypothesis Test with F-Statistic", "title": "ANOVA 3: Hypothesis test with F-statistic", "progress_key": "v8187307", "edit_slug": "edit/v/8187307", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analysis of Variance 3 -Hypothesis Test with F-Statistic", "extra_properties": null, "node_slug": "v/anova-3--hypothesis-test-with-f-statistic", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:54:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xg8_iSkJpAE.mp4/Xg8_iSkJpAE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xg8_iSkJpAE.mp4/Xg8_iSkJpAE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xg8_iSkJpAE.m3u8/Xg8_iSkJpAE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xg8_iSkJpAE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187307", "sha": "36a69818bb459eaa5d9ff39cb067d9915f9ccc34", "translated_description": "Analysis of Variance 3 -Hypothesis Test with F-Statistic", "image_url": "https://img.youtube.com/vi/Xg8_iSkJpAE/hqdefault.jpg", "youtube_id": "Xg8_iSkJpAE", "content_kind": "Video", "readable_id": "anova-3--hypothesis-test-with-f-statistic"}], "twitter_url": "", "translated_description": "You already know a good bit about hypothesis testing with one or two samples. Now we take things further by making inferences based on three or more samples. We'll use the very special F-distribution to do it (F stands for \"fabulous\").", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You already know a good bit about hypothesis testing with one or two samples. Now we take things further by making inferences based on three or more samples. We'll use the very special F-distribution to do it (F stands for \"fabulous\").", "x_pos": 0.0, "node_slug": "anova", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbe77e59a", "topic_page_url": "/math/probability/statistics-inferential/anova", "extended_slug": "math/probability/statistics-inferential/anova", "slug": "anova", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "296dbfdade2313eb3f191ae146014e9280727c62", "standalone_title": "Analysis of variance", "y_pos": 0.0, "current_revision_key": "296dbfdade2313eb3f191ae146014e9280727c62", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.", "x_pos": -25.0, "node_slug": "statistics-inferential", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2a3773b2", "topic_page_url": "/math/probability/statistics-inferential", "extended_slug": "math/probability/statistics-inferential", "slug": "statistics-inferential", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3af188246ee2e1f00fab74000fe799a606833d1c", "standalone_title": "Inferential statistics", "y_pos": 22.0, "current_revision_key": "3af188246ee2e1f00fab74000fe799a606833d1c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": true, "description": "", "x_pos": -1.0, "node_slug": "probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa88397b6", "topic_page_url": "/math/probability", "extended_slug": "math/probability", "slug": "probability", "tags": ["probability"], "kind": "Topic", "in_topic_browser": true, "sha": "db81c840a67ee8bb4702192cc414080049126f7d", "standalone_title": "Probability and statistics", "y_pos": 28.5, "current_revision_key": "db81c840a67ee8bb4702192cc414080049126f7d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations", "translated_standalone_title": "Differential equations", "translated_title": "Differential equations", "gplus_url": "", "id": "x2bf234e8", "old_key_name": "6y6RUPJMH2CwZVmit6-gqQU8pTzL_GNPqfF-eQEr", "hide": false, "title": "Differential equations", "child_data": [{"kind": "Topic", "id": "xca838a83"}, {"kind": "Topic", "id": "xdd2c724f"}, {"kind": "Topic", "id": "xc75c5653"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/first-order-differential-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/first-order-differential-equations", "translated_standalone_title": "First order differential equations", "translated_title": "First order differential equations", "gplus_url": "", "id": "xca838a83", "old_key_name": "JuC0OHXIpSgfy1nO8fXQlnG0w7R_mgZF8-mGECtF", "hide": false, "title": "First order differential equations", "child_data": [{"kind": "Topic", "id": "xfa44ca25"}, {"kind": "Topic", "id": "x31e3269f"}, {"kind": "Topic", "id": "xf9b0193f"}, {"kind": "Topic", "id": "x60db5247"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/first-order-differential-equations/differential-equations-intro", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro", "translated_standalone_title": "Intro to differential equations", "translated_title": "Intro to differential equations", "gplus_url": "", "id": "xfa44ca25", "old_key_name": "aFWpCWRCsQOrBZH6F_rtdozQdusqSy0ZrF5CXH-2", "hide": false, "title": "Intro to differential equations", "child_data": [{"kind": "Video", "id": 24708}, {"kind": "Video", "id": 4802213}], "children": [{"translated_youtube_id": "-_POEWfygmU", "relative_url": "/video/what-is-a-differential-equation", "has_questions": false, "keywords": "differential, equation, linear, order", "ka_url": "http://www.khanacademy.org/video/what-is-a-differential-equation", "duration": 663, "translated_title": "What is a differential equation", "translated_description_html": "What a differential equation is and some terminology.", "id": "24708", "description_html": "What a differential equation is and some terminology.", "title": "What is a differential equation", "progress_key": "v24708", "edit_slug": "edit/v/24708", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What a differential equation is and some terminology.", "extra_properties": null, "node_slug": "v/what-is-a-differential-equation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-_POEWfygmU.mp4/-_POEWfygmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-_POEWfygmU.mp4/-_POEWfygmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-_POEWfygmU.m3u8/-_POEWfygmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-_POEWfygmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24708", "sha": "c192c35a2430c7444453964e0f221f2e7c1ce4fc", "translated_description": "What a differential equation is and some terminology.", "image_url": "https://img.youtube.com/vi/-_POEWfygmU/hqdefault.jpg", "youtube_id": "-_POEWfygmU", "content_kind": "Video", "readable_id": "what-is-a-differential-equation"}, {"translated_youtube_id": "C8mudsCSmcU", "relative_url": "/video/simple-differential-equations", "has_questions": false, "keywords": "differential, equation, derivative, calculus", "ka_url": "http://www.khanacademy.org/video/simple-differential-equations", "duration": 865, "translated_title": "Simple differential equations", "translated_description_html": "3 basic differential equations that can be solved by taking the antiderivatives of both sides.", "id": "4802213", "description_html": "3 basic differential equations that can be solved by taking the antiderivatives of both sides.", "title": "Simple differential equations", "progress_key": "v4802213", "edit_slug": "edit/v/4802213", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "3 basic differential equations that can be solved by taking the antiderivatives of both sides.", "extra_properties": null, "node_slug": "v/simple-differential-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C8mudsCSmcU.mp4/C8mudsCSmcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C8mudsCSmcU.mp4/C8mudsCSmcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C8mudsCSmcU.m3u8/C8mudsCSmcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C8mudsCSmcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802213", "sha": "f5aafa41ca7215cc14bceb1db0aea66d64ebd0d7", "translated_description": "3 basic differential equations that can be solved by taking the antiderivatives of both sides.", "image_url": "https://img.youtube.com/vi/C8mudsCSmcU/hqdefault.jpg", "youtube_id": "C8mudsCSmcU", "content_kind": "Video", "readable_id": "simple-differential-equations"}], "twitter_url": "", "translated_description": "How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. How do you like me now (that is what the differential equation would say in response to your shock)!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. How do you like me now (that is what the differential equation would say in response to your shock)!", "x_pos": 0.0, "node_slug": "differential-equations-intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa44ca25", "topic_page_url": "/math/differential-equations/first-order-differential-equations/differential-equations-intro", "extended_slug": "math/differential-equations/first-order-differential-equations/differential-equations-intro", "slug": "differential-equations-intro", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "765794058b972be23f02e569da56a78ede63d046", "standalone_title": "Intro to differential equations", "y_pos": 0.0, "current_revision_key": "765794058b972be23f02e569da56a78ede63d046", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/first-order-differential-equations/separable-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations", "translated_standalone_title": "Separable equations", "translated_title": "Separable equations", "gplus_url": "", "id": "x31e3269f", "old_key_name": "q9J3k64TEAd4GmwBZsBaOWt86Gxr4Nj5UZCVeLZd", "hide": false, "title": "Separable equations", "child_data": [{"kind": "Video", "id": 24710}, {"kind": "Video", "id": 24712}], "children": [{"translated_youtube_id": "C5-lz0hcqsE", "relative_url": "/video/separable-differential-equations", "has_questions": false, "keywords": "separable, differential, equations", "ka_url": "http://www.khanacademy.org/video/separable-differential-equations", "duration": 720, "translated_title": "Separable differential equations", "translated_description_html": "Introduction to separable differential equations.", "id": "24710", "description_html": "Introduction to separable differential equations.", "title": "Separable differential equations", "progress_key": "v24710", "edit_slug": "edit/v/24710", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to separable differential equations.", "extra_properties": null, "node_slug": "v/separable-differential-equations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C5-lz0hcqsE.mp4/C5-lz0hcqsE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C5-lz0hcqsE.mp4/C5-lz0hcqsE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C5-lz0hcqsE.m3u8/C5-lz0hcqsE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C5-lz0hcqsE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24710", "sha": "b6f63e9ba65da7e317a3f367b1cd47c32f3ea783", "translated_description": "Introduction to separable differential equations.", "image_url": "https://img.youtube.com/vi/C5-lz0hcqsE/hqdefault.jpg", "youtube_id": "C5-lz0hcqsE", "content_kind": "Video", "readable_id": "separable-differential-equations"}, {"translated_youtube_id": "xVWCfMe97ws", "relative_url": "/video/separable-differential-equations-2", "has_questions": false, "keywords": "separable, differential, equations", "ka_url": "http://www.khanacademy.org/video/separable-differential-equations-2", "duration": 337, "translated_title": "Separable differential equations 2", "translated_description_html": "Another separable differential equation example.", "id": "24712", "description_html": "Another separable differential equation example.", "title": "Separable differential equations 2", "progress_key": "v24712", "edit_slug": "edit/v/24712", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another separable differential equation example.", "extra_properties": null, "node_slug": "v/separable-differential-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xVWCfMe97ws.mp4/xVWCfMe97ws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xVWCfMe97ws.mp4/xVWCfMe97ws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xVWCfMe97ws.m3u8/xVWCfMe97ws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xVWCfMe97ws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24712", "sha": "d19c3b5427fe7ee920c4d6b8258353ea1671b6a3", "translated_description": "Another separable differential equation example.", "image_url": "https://img.youtube.com/vi/xVWCfMe97ws/hqdefault.jpg", "youtube_id": "xVWCfMe97ws", "content_kind": "Video", "readable_id": "separable-differential-equations-2"}], "twitter_url": "", "translated_description": "Arguably the 'easiest' class of differential equations. Here we use our powers of algebra to \"separate\" the y's from the x's on two different sides of the equation and then we just integrate!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Arguably the 'easiest' class of differential equations. Here we use our powers of algebra to \"separate\" the y's from the x's on two different sides of the equation and then we just integrate!", "x_pos": 0.0, "node_slug": "separable-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax31e3269f", "topic_page_url": "/math/differential-equations/first-order-differential-equations/separable-equations", "extended_slug": "math/differential-equations/first-order-differential-equations/separable-equations", "slug": "separable-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7c085d97ecb9b14c49e23458e3c83974a4491125", "standalone_title": "Separable equations", "y_pos": 0.0, "current_revision_key": "7c085d97ecb9b14c49e23458e3c83974a4491125", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/first-order-differential-equations/exact-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations", "translated_standalone_title": "Exact equations and integrating factors", "translated_title": "Exact equations and integrating factors", "gplus_url": "", "id": "xf9b0193f", "old_key_name": "gid8fDJTIxQ25P1DSBM5-JxCPIX83Bbvf8smAWOe", "hide": false, "title": "Exact equations and integrating factors", "child_data": [{"kind": "Video", "id": 24714}, {"kind": "Video", "id": 24716}, {"kind": "Video", "id": 24718}, {"kind": "Video", "id": 24720}, {"kind": "Video", "id": 24722}, {"kind": "Video", "id": 24724}, {"kind": "Video", "id": 24726}], "children": [{"translated_youtube_id": "iEpqcdaJNTQ", "relative_url": "/video/exact-equations-intuition-1--proofy", "has_questions": false, "keywords": "exact, differential, equations", "ka_url": "http://www.khanacademy.org/video/exact-equations-intuition-1--proofy", "duration": 594, "translated_title": "Exact equations intuition 1 (proofy)", "translated_description_html": "Chain rule using partial derivatives (not a proof; more intuition).", "id": "24714", "description_html": "Chain rule using partial derivatives (not a proof; more intuition).", "title": "Exact equations intuition 1 (proofy)", "progress_key": "v24714", "edit_slug": "edit/v/24714", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chain rule using partial derivatives (not a proof; more intuition).", "extra_properties": null, "node_slug": "v/exact-equations-intuition-1--proofy", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iEpqcdaJNTQ.mp4/iEpqcdaJNTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iEpqcdaJNTQ.mp4/iEpqcdaJNTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iEpqcdaJNTQ.m3u8/iEpqcdaJNTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iEpqcdaJNTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24714", "sha": "c55581327fbce6935aac9945e7a0dc143b830e64", "translated_description": "Chain rule using partial derivatives (not a proof; more intuition).", "image_url": "https://img.youtube.com/vi/iEpqcdaJNTQ/hqdefault.jpg", "youtube_id": "iEpqcdaJNTQ", "content_kind": "Video", "readable_id": "exact-equations-intuition-1--proofy"}, {"translated_youtube_id": "a7wYAtMjORQ", "relative_url": "/video/exact-equations-intuition-2--proofy", "has_questions": false, "keywords": "exact, partial, differential, equations", "ka_url": "http://www.khanacademy.org/video/exact-equations-intuition-2--proofy", "duration": 651, "translated_title": "Exact equations intuition 2 (proofy)", "translated_description_html": "More intuitive building blocks for exact equations.", "id": "24716", "description_html": "More intuitive building blocks for exact equations.", "title": "Exact equations intuition 2 (proofy)", "progress_key": "v24716", "edit_slug": "edit/v/24716", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More intuitive building blocks for exact equations.", "extra_properties": null, "node_slug": "v/exact-equations-intuition-2--proofy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.mp4/a7wYAtMjORQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.mp4/a7wYAtMjORQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.m3u8/a7wYAtMjORQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a7wYAtMjORQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24716", "sha": "e28146dba0f3c3d7fd9fbb848e6fa8cf14e15017", "translated_description": "More intuitive building blocks for exact equations.", "image_url": "https://img.youtube.com/vi/a7wYAtMjORQ/hqdefault.jpg", "youtube_id": "a7wYAtMjORQ", "content_kind": "Video", "readable_id": "exact-equations-intuition-2--proofy"}, {"translated_youtube_id": "Pb04ntcDJcQ", "relative_url": "/video/exact-equations-example-1", "has_questions": false, "keywords": "exact, differential, equations", "ka_url": "http://www.khanacademy.org/video/exact-equations-example-1", "duration": 729, "translated_title": "Exact equations example 1", "translated_description_html": "First example of solving an exact differential equation.", "id": "24718", "description_html": "First example of solving an exact differential equation.", "title": "Exact equations example 1", "progress_key": "v24718", "edit_slug": "edit/v/24718", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "First example of solving an exact differential equation.", "extra_properties": null, "node_slug": "v/exact-equations-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pb04ntcDJcQ.mp4/Pb04ntcDJcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pb04ntcDJcQ.mp4/Pb04ntcDJcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pb04ntcDJcQ.m3u8/Pb04ntcDJcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pb04ntcDJcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24718", "sha": "50ab18115b6ea23b9c86cf495be0f5ac92230807", "translated_description": "First example of solving an exact differential equation.", "image_url": "https://img.youtube.com/vi/Pb04ntcDJcQ/hqdefault.jpg", "youtube_id": "Pb04ntcDJcQ", "content_kind": "Video", "readable_id": "exact-equations-example-1"}, {"translated_youtube_id": "utQi1ZhF__Q", "relative_url": "/video/exact-equations-example-2", "has_questions": false, "keywords": "exact, differential, equations", "ka_url": "http://www.khanacademy.org/video/exact-equations-example-2", "duration": 481, "translated_title": "Exact equations example 2", "translated_description_html": "Some more exact equation examples", "id": "24720", "description_html": "Some more exact equation examples", "title": "Exact equations example 2", "progress_key": "v24720", "edit_slug": "edit/v/24720", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Some more exact equation examples", "extra_properties": null, "node_slug": "v/exact-equations-example-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/utQi1ZhF__Q.mp4/utQi1ZhF__Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/utQi1ZhF__Q.mp4/utQi1ZhF__Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/utQi1ZhF__Q.m3u8/utQi1ZhF__Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=utQi1ZhF__Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24720", "sha": "4a0c78dc9dee6b8f2f6e7707be5d916f9994cf52", "translated_description": "Some more exact equation examples", "image_url": "https://img.youtube.com/vi/utQi1ZhF__Q/hqdefault.jpg", "youtube_id": "utQi1ZhF__Q", "content_kind": "Video", "readable_id": "exact-equations-example-2"}, {"translated_youtube_id": "eu_GFuU7tLI", "relative_url": "/video/exact-equations-example-3", "has_questions": false, "keywords": "exact, differential, equations", "ka_url": "http://www.khanacademy.org/video/exact-equations-example-3", "duration": 599, "translated_title": "Exact equations example 3", "translated_description_html": "One more exact equation example", "id": "24722", "description_html": "One more exact equation example", "title": "Exact equations example 3", "progress_key": "v24722", "edit_slug": "edit/v/24722", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "One more exact equation example", "extra_properties": null, "node_slug": "v/exact-equations-example-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eu_GFuU7tLI.mp4/eu_GFuU7tLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eu_GFuU7tLI.mp4/eu_GFuU7tLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eu_GFuU7tLI.m3u8/eu_GFuU7tLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eu_GFuU7tLI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24722", "sha": "d9965a35385686d9e6dd399f63d58054b5f42635", "translated_description": "One more exact equation example", "image_url": "https://img.youtube.com/vi/eu_GFuU7tLI/hqdefault.jpg", "youtube_id": "eu_GFuU7tLI", "content_kind": "Video", "readable_id": "exact-equations-example-3"}, {"translated_youtube_id": "j511hg7Hlbg", "relative_url": "/video/integrating-factors-1", "has_questions": false, "keywords": "integrating, factor, exact, differential, equation", "ka_url": "http://www.khanacademy.org/video/integrating-factors-1", "duration": 616, "translated_title": "Integrating factors 1", "translated_description_html": "Using an integrating factor to make a differential equation exact", "id": "24724", "description_html": "Using an integrating factor to make a differential equation exact", "title": "Integrating factors 1", "progress_key": "v24724", "edit_slug": "edit/v/24724", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using an integrating factor to make a differential equation exact", "extra_properties": null, "node_slug": "v/integrating-factors-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j511hg7Hlbg.mp4/j511hg7Hlbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j511hg7Hlbg.mp4/j511hg7Hlbg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j511hg7Hlbg.m3u8/j511hg7Hlbg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j511hg7Hlbg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24724", "sha": "efd7e8a4ed0e7d5a1e36b86f122270cf269db968", "translated_description": "Using an integrating factor to make a differential equation exact", "image_url": "https://img.youtube.com/vi/j511hg7Hlbg/hqdefault.jpg", "youtube_id": "j511hg7Hlbg", "content_kind": "Video", "readable_id": "integrating-factors-1"}, {"translated_youtube_id": "0NyeDUhKwBE", "relative_url": "/video/integrating-factors-2", "has_questions": false, "keywords": "integrating, factor, exact, differential, equations", "ka_url": "http://www.khanacademy.org/video/integrating-factors-2", "duration": 506, "translated_title": "Integrating factors 2", "translated_description_html": "Now that we've made the equation exact, let's solve it!", "id": "24726", "description_html": "Now that we've made the equation exact, let's solve it!", "title": "Integrating factors 2", "progress_key": "v24726", "edit_slug": "edit/v/24726", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Now that we've made the equation exact, let's solve it!", "extra_properties": null, "node_slug": "v/integrating-factors-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0NyeDUhKwBE.mp4/0NyeDUhKwBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0NyeDUhKwBE.mp4/0NyeDUhKwBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0NyeDUhKwBE.m3u8/0NyeDUhKwBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0NyeDUhKwBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24726", "sha": "89f3d432800507ff5340dd1591f829a5702e4f9f", "translated_description": "Now that we've made the equation exact, let's solve it!", "image_url": "https://img.youtube.com/vi/0NyeDUhKwBE/hqdefault.jpg", "youtube_id": "0NyeDUhKwBE", "content_kind": "Video", "readable_id": "integrating-factors-2"}], "twitter_url": "", "translated_description": "A very special class of often non-linear differential equations. If you know a bit about partial derivatives, this tutorial will help you know how to 'exactly' solve these!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A very special class of often non-linear differential equations. If you know a bit about partial derivatives, this tutorial will help you know how to 'exactly' solve these!", "x_pos": 0.0, "node_slug": "exact-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf9b0193f", "topic_page_url": "/math/differential-equations/first-order-differential-equations/exact-equations", "extended_slug": "math/differential-equations/first-order-differential-equations/exact-equations", "slug": "exact-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6747910b8eee6f6e46c3208005f158d62db0c919", "standalone_title": "Exact equations and integrating factors", "y_pos": 0.0, "current_revision_key": "6747910b8eee6f6e46c3208005f158d62db0c919", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/first-order-differential-equations/homogeneous-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations", "translated_standalone_title": "Homogeneous equations", "translated_title": "Homogeneous equations", "gplus_url": "", "id": "x60db5247", "old_key_name": "Jc6bVrHQB8mpJTTpKvOx4_yhWtj5qvODZ-E9ilGE", "hide": false, "title": "Homogeneous equations", "child_data": [{"kind": "Video", "id": 24728}, {"kind": "Video", "id": 24730}], "children": [{"translated_youtube_id": "9Wfn-WWV1aY", "relative_url": "/video/first-order-homegenous-equations", "has_questions": false, "keywords": "first, order, homogenous, differential, equations", "ka_url": "http://www.khanacademy.org/video/first-order-homegenous-equations", "duration": 441, "translated_title": "First order homegenous equations", "translated_description_html": "Introduction to first order homogenous equations.", "id": "24728", "description_html": "Introduction to first order homogenous equations.", "title": "First order homegenous equations", "progress_key": "v24728", "edit_slug": "edit/v/24728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to first order homogenous equations.", "extra_properties": null, "node_slug": "v/first-order-homegenous-equations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Wfn-WWV1aY.mp4/9Wfn-WWV1aY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Wfn-WWV1aY.mp4/9Wfn-WWV1aY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Wfn-WWV1aY.m3u8/9Wfn-WWV1aY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Wfn-WWV1aY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24728", "sha": "eb594c5a2e192e7c5caeb54ebeddcc8bc3c4c304", "translated_description": "Introduction to first order homogenous equations.", "image_url": "https://img.youtube.com/vi/9Wfn-WWV1aY/hqdefault.jpg", "youtube_id": "9Wfn-WWV1aY", "content_kind": "Video", "readable_id": "first-order-homegenous-equations"}, {"translated_youtube_id": "6YRGEsQWZzY", "relative_url": "/video/first-order-homogenous-equations-2", "has_questions": false, "keywords": "homogeneous, differential, equations", "ka_url": "http://www.khanacademy.org/video/first-order-homogenous-equations-2", "duration": 502, "translated_title": "First order homogeneous equations 2", "translated_description_html": "Another example of using substitution to solve a first order homogeneous differential equations.", "id": "24730", "description_html": "Another example of using substitution to solve a first order homogeneous differential equations.", "title": "First order homogeneous equations 2", "progress_key": "v24730", "edit_slug": "edit/v/24730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of using substitution to solve a first order homogeneous differential equations.", "extra_properties": null, "node_slug": "v/first-order-homogenous-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6YRGEsQWZzY.mp4/6YRGEsQWZzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6YRGEsQWZzY.mp4/6YRGEsQWZzY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6YRGEsQWZzY.m3u8/6YRGEsQWZzY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6YRGEsQWZzY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24730", "sha": "fbc4d64b5126cfd835324ed7dc8a05c346a38d47", "translated_description": "Another example of using substitution to solve a first order homogeneous differential equations.", "image_url": "https://img.youtube.com/vi/6YRGEsQWZzY/hqdefault.jpg", "youtube_id": "6YRGEsQWZzY", "content_kind": "Video", "readable_id": "first-order-homogenous-equations-2"}], "twitter_url": "", "translated_description": "In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations).\n\nActually, the term \"homogeneous\" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations).\n\nActually, the term \"homogeneous\" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).", "x_pos": 0.0, "node_slug": "homogeneous-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax60db5247", "topic_page_url": "/math/differential-equations/first-order-differential-equations/homogeneous-equations", "extended_slug": "math/differential-equations/first-order-differential-equations/homogeneous-equations", "slug": "homogeneous-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0acb192d5990158f130ccc94334ceab1fec2cd89", "standalone_title": "Homogeneous equations", "y_pos": 0.0, "current_revision_key": "0acb192d5990158f130ccc94334ceab1fec2cd89", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Differential equations with only first derivatives.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Differential equations with only first derivatives.", "x_pos": 0.0, "node_slug": "first-order-differential-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca838a83", "topic_page_url": "/math/differential-equations/first-order-differential-equations", "extended_slug": "math/differential-equations/first-order-differential-equations", "slug": "first-order-differential-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a3bf735593860ef5e018eca16ddbefe3e80d9da2", "standalone_title": "First order differential equations", "y_pos": 0.0, "current_revision_key": "a3bf735593860ef5e018eca16ddbefe3e80d9da2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/second-order-differential-equations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/second-order-differential-equations", "translated_standalone_title": "Second order differential equations", "translated_title": "Second order linear equations", "gplus_url": "", "id": "xdd2c724f", "old_key_name": "kYSHP5JTFyTrWvtMp6jWFIF8ymaxDjjsnf3KCCeY", "hide": false, "title": "Second order linear equations", "child_data": [{"kind": "Topic", "id": "x4ed17320"}, {"kind": "Topic", "id": "x3286231e"}, {"kind": "Topic", "id": "x42e06477"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order", "translated_standalone_title": "Linear homogeneous equations", "translated_title": "Linear homogeneous equations", "gplus_url": "", "id": "x4ed17320", "old_key_name": "N4eJkivYkYGvO8oOHBuwWUa8bU9klyYWWlzfVj1S", "hide": false, "title": "Linear homogeneous equations", "child_data": [{"kind": "Video", "id": 24732}, {"kind": "Video", "id": 24734}, {"kind": "Video", "id": 24736}, {"kind": "Video", "id": 24738}], "children": [{"translated_youtube_id": "UFWAu8Ptth0", "relative_url": "/video/2nd-order-linear-homogeneous-differential-equations-1", "has_questions": false, "keywords": "2nd, Order, Linear, Homogeneous, Differential, Equations", "ka_url": "http://www.khanacademy.org/video/2nd-order-linear-homogeneous-differential-equations-1", "duration": 584, "translated_title": "2nd order linear homogeneous differential equations 1", "translated_description_html": "Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.", "id": "24732", "description_html": "Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.", "title": "2nd order linear homogeneous differential equations 1", "progress_key": "v24732", "edit_slug": "edit/v/24732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.", "extra_properties": null, "node_slug": "v/2nd-order-linear-homogeneous-differential-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UFWAu8Ptth0.mp4/UFWAu8Ptth0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UFWAu8Ptth0.mp4/UFWAu8Ptth0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UFWAu8Ptth0.m3u8/UFWAu8Ptth0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UFWAu8Ptth0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24732", "sha": "4c9a7b538ca1b9bb032a2f064a1dcb461d360748", "translated_description": "Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.", "image_url": "https://img.youtube.com/vi/UFWAu8Ptth0/hqdefault.jpg", "youtube_id": "UFWAu8Ptth0", "content_kind": "Video", "readable_id": "2nd-order-linear-homogeneous-differential-equations-1"}, {"translated_youtube_id": "SPVqgkOZMAc", "relative_url": "/video/2nd-order-linear-homogeneous-differential-equations-2", "has_questions": false, "keywords": "2nd, Order, Linear, Homogeneous, Differential, Equations", "ka_url": "http://www.khanacademy.org/video/2nd-order-linear-homogeneous-differential-equations-2", "duration": 508, "translated_title": "2nd order linear homogeneous differential equations 2", "translated_description_html": "Let's find the general solution!", "id": "24734", "description_html": "Let's find the general solution!", "title": "2nd order linear homogeneous differential equations 2", "progress_key": "v24734", "edit_slug": "edit/v/24734", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's find the general solution!", "extra_properties": null, "node_slug": "v/2nd-order-linear-homogeneous-differential-equations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SPVqgkOZMAc.mp4/SPVqgkOZMAc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SPVqgkOZMAc.mp4/SPVqgkOZMAc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SPVqgkOZMAc.m3u8/SPVqgkOZMAc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SPVqgkOZMAc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24734", "sha": "838044d5adf8e1c6aa3db6173dbd6fad6a37d8a4", "translated_description": "Let's find the general solution!", "image_url": "https://img.youtube.com/vi/SPVqgkOZMAc/hqdefault.jpg", "youtube_id": "SPVqgkOZMAc", "content_kind": "Video", "readable_id": "2nd-order-linear-homogeneous-differential-equations-2"}, {"translated_youtube_id": "UyCwAFQt4v0", "relative_url": "/video/2nd-order-linear-homogeneous-differential-equations-3", "has_questions": false, "keywords": "2nd, Order, Linear, Homogeneous, Differential, Equations", "ka_url": "http://www.khanacademy.org/video/2nd-order-linear-homogeneous-differential-equations-3", "duration": 359, "translated_title": "2nd order linear homogeneous differential equations 3", "translated_description_html": "Let's use some initial conditions to solve for the particular solution", "id": "24736", "description_html": "Let's use some initial conditions to solve for the particular solution", "title": "2nd order linear homogeneous differential equations 3", "progress_key": "v24736", "edit_slug": "edit/v/24736", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Let's use some initial conditions to solve for the particular solution", "extra_properties": null, "node_slug": "v/2nd-order-linear-homogeneous-differential-equations-3", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UyCwAFQt4v0.mp4/UyCwAFQt4v0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UyCwAFQt4v0.mp4/UyCwAFQt4v0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UyCwAFQt4v0.m3u8/UyCwAFQt4v0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UyCwAFQt4v0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24736", "sha": "1824a742f358efd0953ff310b669b5f212d07734", "translated_description": "Let's use some initial conditions to solve for the particular solution", "image_url": "https://img.youtube.com/vi/UyCwAFQt4v0/hqdefault.jpg", "youtube_id": "UyCwAFQt4v0", "content_kind": "Video", "readable_id": "2nd-order-linear-homogeneous-differential-equations-3"}, {"translated_youtube_id": "3uO_uPb9H8w", "relative_url": "/video/2nd-order-linear-homogeneous-differential-equations-4", "has_questions": false, "keywords": "2nd, Order, Linear, Homogeneous, Differential, Equations", "ka_url": "http://www.khanacademy.org/video/2nd-order-linear-homogeneous-differential-equations-4", "duration": 550, "translated_title": "2nd order linear homogeneous differential equations 4", "translated_description_html": "Another example with initial conditions!", "id": "24738", "description_html": "Another example with initial conditions!", "title": "2nd order linear homogeneous differential equations 4", "progress_key": "v24738", "edit_slug": "edit/v/24738", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Another example with initial conditions!", "extra_properties": null, "node_slug": "v/2nd-order-linear-homogeneous-differential-equations-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3uO_uPb9H8w.mp4/3uO_uPb9H8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3uO_uPb9H8w.mp4/3uO_uPb9H8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3uO_uPb9H8w.m3u8/3uO_uPb9H8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3uO_uPb9H8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24738", "sha": "665424aba1aed8e135122c0f54b08b406ed62a6e", "translated_description": "Another example with initial conditions!", "image_url": "https://img.youtube.com/vi/3uO_uPb9H8w/hqdefault.jpg", "youtube_id": "3uO_uPb9H8w", "content_kind": "Video", "readable_id": "2nd-order-linear-homogeneous-differential-equations-4"}], "twitter_url": "", "translated_description": "To make your life interesting, we'll now use the word \"homogeneous\" in a way that is not connected to the way we used the term when talking about first-order equations. As you'll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "To make your life interesting, we'll now use the word \"homogeneous\" in a way that is not connected to the way we used the term when talking about first-order equations. As you'll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).", "x_pos": 0.0, "node_slug": "linear-homogeneous-2nd-order", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4ed17320", "topic_page_url": "/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order", "extended_slug": "math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order", "slug": "linear-homogeneous-2nd-order", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "414bebceb7132d6d3f3f37b9d2954058113149a1", "standalone_title": "Linear homogeneous equations", "y_pos": 0.0, "current_revision_key": "414bebceb7132d6d3f3f37b9d2954058113149a1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation", "translated_standalone_title": "Complex and repeated roots of characteristic equation", "translated_title": "Complex and repeated roots of characteristic equation", "gplus_url": "", "id": "x3286231e", "old_key_name": "bSqJ9YsWb6AeEE_vUzFd3wu3fI2TFxnCoYvSQ_B_", "hide": false, "title": "Complex and repeated roots of characteristic equation", "child_data": [{"kind": "Video", "id": 24740}, {"kind": "Video", "id": 24742}, {"kind": "Video", "id": 24744}, {"kind": "Video", "id": 24746}, {"kind": "Video", "id": 24748}], "children": [{"translated_youtube_id": "6xEO4BeawzA", "relative_url": "/video/complex-roots-of-the-characteristic-equations-1", "has_questions": false, "keywords": "Complex, roots, of, the, characteristic, equations", "ka_url": "http://www.khanacademy.org/video/complex-roots-of-the-characteristic-equations-1", "duration": 627, "translated_title": "Complex roots of the characteristic equations 1", "translated_description_html": "What happens when the characteristic equations has complex roots?!", "id": "24740", "description_html": "What happens when the characteristic equations has complex roots?!", "title": "Complex roots of the characteristic equations 1", "progress_key": "v24740", "edit_slug": "edit/v/24740", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens when the characteristic equations has complex roots?!", "extra_properties": null, "node_slug": "v/complex-roots-of-the-characteristic-equations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6xEO4BeawzA.mp4/6xEO4BeawzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6xEO4BeawzA.mp4/6xEO4BeawzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6xEO4BeawzA.m3u8/6xEO4BeawzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6xEO4BeawzA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24740", "sha": "76c308eda7b0c3a9e92d59632679a4789106c38f", "translated_description": "What happens when the characteristic equations has complex roots?!", "image_url": "https://img.youtube.com/vi/6xEO4BeawzA/hqdefault.jpg", "youtube_id": "6xEO4BeawzA", "content_kind": "Video", "readable_id": "complex-roots-of-the-characteristic-equations-1"}, {"translated_youtube_id": "jJyRrIZ595c", "relative_url": "/video/complex-roots-of-the-characteristic-equations-2", "has_questions": false, "keywords": "complex, roots, characteristic, equation, differential, equations", "ka_url": "http://www.khanacademy.org/video/complex-roots-of-the-characteristic-equations-2", "duration": 623, "translated_title": "Complex roots of the characteristic equations 2", "translated_description_html": "What happens when the characteristic equation has complex roots?", "id": "24742", "description_html": "What happens when the characteristic equation has complex roots?", "title": "Complex roots of the characteristic equations 2", "progress_key": "v24742", "edit_slug": "edit/v/24742", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens when the characteristic equation has complex roots?", "extra_properties": null, "node_slug": "v/complex-roots-of-the-characteristic-equations-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jJyRrIZ595c.mp4/jJyRrIZ595c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jJyRrIZ595c.mp4/jJyRrIZ595c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jJyRrIZ595c.m3u8/jJyRrIZ595c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jJyRrIZ595c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24742", "sha": "f723985c5086bf117742f5c02f378cec997e52be", "translated_description": "What happens when the characteristic equation has complex roots?", "image_url": "https://img.youtube.com/vi/jJyRrIZ595c/hqdefault.jpg", "youtube_id": "jJyRrIZ595c", "content_kind": "Video", "readable_id": "complex-roots-of-the-characteristic-equations-2"}, {"translated_youtube_id": "rGaM6pwqhB0", "relative_url": "/video/complex-roots-of-the-characteristic-equations-3", "has_questions": false, "keywords": "Complex, roots, of, the, characteristic, equations", "ka_url": "http://www.khanacademy.org/video/complex-roots-of-the-characteristic-equations-3", "duration": 612, "translated_title": "Complex roots of the characteristic equations 3", "translated_description_html": "Lets do an example with initial conditions!", "id": "24744", "description_html": "Lets do an example with initial conditions!", "title": "Complex roots of the characteristic equations 3", "progress_key": "v24744", "edit_slug": "edit/v/24744", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lets do an example with initial conditions!", "extra_properties": null, "node_slug": "v/complex-roots-of-the-characteristic-equations-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rGaM6pwqhB0.mp4/rGaM6pwqhB0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rGaM6pwqhB0.mp4/rGaM6pwqhB0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rGaM6pwqhB0.m3u8/rGaM6pwqhB0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rGaM6pwqhB0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24744", "sha": "89881b473b987468dbb1c37c13d881bc2fafe991", "translated_description": "Lets do an example with initial conditions!", "image_url": "https://img.youtube.com/vi/rGaM6pwqhB0/hqdefault.jpg", "youtube_id": "rGaM6pwqhB0", "content_kind": "Video", "readable_id": "complex-roots-of-the-characteristic-equations-3"}, {"translated_youtube_id": "NW9JfMvIsxw", "relative_url": "/video/repeated-roots-of-the-characteristic-equation", "has_questions": false, "keywords": "differential, equations, reduction, of, order", "ka_url": "http://www.khanacademy.org/video/repeated-roots-of-the-characteristic-equation", "duration": 718, "translated_title": "Repeated roots of the characteristic equation", "translated_description_html": "What happens when the characteristic equation only has 1 repeated root?", "id": "24746", "description_html": "What happens when the characteristic equation only has 1 repeated root?", "title": "Repeated roots of the characteristic equation", "progress_key": "v24746", "edit_slug": "edit/v/24746", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens when the characteristic equation only has 1 repeated root?", "extra_properties": null, "node_slug": "v/repeated-roots-of-the-characteristic-equation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NW9JfMvIsxw.mp4/NW9JfMvIsxw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NW9JfMvIsxw.mp4/NW9JfMvIsxw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NW9JfMvIsxw.m3u8/NW9JfMvIsxw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NW9JfMvIsxw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24746", "sha": "af1581d92eec94fdb8fc3d95730c5b6484d81d8c", "translated_description": "What happens when the characteristic equation only has 1 repeated root?", "image_url": "https://img.youtube.com/vi/NW9JfMvIsxw/hqdefault.jpg", "youtube_id": "NW9JfMvIsxw", "content_kind": "Video", "readable_id": "repeated-roots-of-the-characteristic-equation"}, {"translated_youtube_id": "YezsgIlcb68", "relative_url": "/video/repeated-roots-of-the-characterisitic-equations-part-2", "has_questions": false, "keywords": "differential, equation, repeated, roots, characteristic", "ka_url": "http://www.khanacademy.org/video/repeated-roots-of-the-characterisitic-equations-part-2", "duration": 532, "translated_title": "Repeated roots of the characteristic equations part 2", "translated_description_html": "An example where we use initial conditions to solve a repeated-roots differential equation.", "id": "24748", "description_html": "An example where we use initial conditions to solve a repeated-roots differential equation.", "title": "Repeated roots of the characteristic equations part 2", "progress_key": "v24748", "edit_slug": "edit/v/24748", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An example where we use initial conditions to solve a repeated-roots differential equation.", "extra_properties": null, "node_slug": "v/repeated-roots-of-the-characterisitic-equations-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YezsgIlcb68.mp4/YezsgIlcb68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YezsgIlcb68.mp4/YezsgIlcb68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YezsgIlcb68.m3u8/YezsgIlcb68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YezsgIlcb68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24748", "sha": "d960d34a5e72edde163fe8b1d9d67583ccee1e71", "translated_description": "An example where we use initial conditions to solve a repeated-roots differential equation.", "image_url": "https://img.youtube.com/vi/YezsgIlcb68/hqdefault.jpg", "youtube_id": "YezsgIlcb68", "content_kind": "Video", "readable_id": "repeated-roots-of-the-characterisitic-equations-part-2"}], "twitter_url": "", "translated_description": "Thinking about what happens when you have complex or repeated roots for your characteristic equation.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Thinking about what happens when you have complex or repeated roots for your characteristic equation.", "x_pos": 0.0, "node_slug": "complex-roots-characteristic-equation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3286231e", "topic_page_url": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation", "extended_slug": "math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation", "slug": "complex-roots-characteristic-equation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7bd2b00aa5208d24031b98408635e71062d1ff83", "standalone_title": "Complex and repeated roots of characteristic equation", "y_pos": 0.0, "current_revision_key": "7bd2b00aa5208d24031b98408635e71062d1ff83", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/second-order-differential-equations/undetermined-coefficients", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients", "translated_standalone_title": "Method of undetermined coefficients", "translated_title": "Method of undetermined coefficients", "gplus_url": "", "id": "x42e06477", "old_key_name": "dqGGh4zGkg6Nh4hlPiD-WJ6fK83o6FHXVihA6HJi", "hide": false, "title": "Method of undetermined coefficients", "child_data": [{"kind": "Video", "id": 24750}, {"kind": "Video", "id": 24752}, {"kind": "Video", "id": 24754}, {"kind": "Video", "id": 24756}], "children": [{"translated_youtube_id": "znE4Nq9NJCQ", "relative_url": "/video/undetermined-coefficients-1", "has_questions": false, "keywords": "undetermined, coefficients, nonhomogeneous, differential, equations", "ka_url": "http://www.khanacademy.org/video/undetermined-coefficients-1", "duration": 611, "translated_title": "Undetermined coefficients 1", "translated_description_html": "Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.", "id": "24750", "description_html": "Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.", "title": "Undetermined coefficients 1", "progress_key": "v24750", "edit_slug": "edit/v/24750", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.", "extra_properties": null, "node_slug": "v/undetermined-coefficients-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znE4Nq9NJCQ.mp4/znE4Nq9NJCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znE4Nq9NJCQ.mp4/znE4Nq9NJCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znE4Nq9NJCQ.m3u8/znE4Nq9NJCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znE4Nq9NJCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24750", "sha": "ef52d6ad78ccd906556f4a416a63f46788fde9c3", "translated_description": "Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.", "image_url": "https://img.youtube.com/vi/znE4Nq9NJCQ/hqdefault.jpg", "youtube_id": "znE4Nq9NJCQ", "content_kind": "Video", "readable_id": "undetermined-coefficients-1"}, {"translated_youtube_id": "hbJ2o9EUmJ0", "relative_url": "/video/undetermined-coefficients-2", "has_questions": false, "keywords": "nonhomogeneous, differential, equation, undetermined, coefficients", "ka_url": "http://www.khanacademy.org/video/undetermined-coefficients-2", "duration": 660, "translated_title": "Undetermined coefficients 2", "translated_description_html": "Another example using undetermined coefficients.", "id": "24752", "description_html": "Another example using undetermined coefficients.", "title": "Undetermined coefficients 2", "progress_key": "v24752", "edit_slug": "edit/v/24752", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example using undetermined coefficients.", "extra_properties": null, "node_slug": "v/undetermined-coefficients-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hbJ2o9EUmJ0.mp4/hbJ2o9EUmJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hbJ2o9EUmJ0.mp4/hbJ2o9EUmJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hbJ2o9EUmJ0.m3u8/hbJ2o9EUmJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hbJ2o9EUmJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24752", "sha": "5d02cd00c652751802bb01338fb8f54992e871f2", "translated_description": "Another example using undetermined coefficients.", "image_url": "https://img.youtube.com/vi/hbJ2o9EUmJ0/hqdefault.jpg", "youtube_id": "hbJ2o9EUmJ0", "content_kind": "Video", "readable_id": "undetermined-coefficients-2"}, {"translated_youtube_id": "I3vIAzMcm4Y", "relative_url": "/video/undetermined-coefficients-3", "has_questions": false, "keywords": "nonhomogeneous, differential, equations", "ka_url": "http://www.khanacademy.org/video/undetermined-coefficients-3", "duration": 489, "translated_title": "Undetermined coefficients 3", "translated_description_html": "Another example where the nonhomogeneous part is a polynomial", "id": "24754", "description_html": "Another example where the nonhomogeneous part is a polynomial", "title": "Undetermined coefficients 3", "progress_key": "v24754", "edit_slug": "edit/v/24754", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example where the nonhomogeneous part is a polynomial", "extra_properties": null, "node_slug": "v/undetermined-coefficients-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I3vIAzMcm4Y.mp4/I3vIAzMcm4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I3vIAzMcm4Y.mp4/I3vIAzMcm4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I3vIAzMcm4Y.m3u8/I3vIAzMcm4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I3vIAzMcm4Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24754", "sha": "efc9186fe2fa5e5834aaf273c3821d2b01872e36", "translated_description": "Another example where the nonhomogeneous part is a polynomial", "image_url": "https://img.youtube.com/vi/I3vIAzMcm4Y/hqdefault.jpg", "youtube_id": "I3vIAzMcm4Y", "content_kind": "Video", "readable_id": "undetermined-coefficients-3"}, {"translated_youtube_id": "vAepSNDLZRM", "relative_url": "/video/undetermined-coefficients-4", "has_questions": false, "keywords": "undetermined, coefficients, differential, equations", "ka_url": "http://www.khanacademy.org/video/undetermined-coefficients-4", "duration": 354, "translated_title": "Undetermined coefficients 4", "translated_description_html": "Putting it all together!", "id": "24756", "description_html": "Putting it all together!", "title": "Undetermined coefficients 4", "progress_key": "v24756", "edit_slug": "edit/v/24756", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Putting it all together!", "extra_properties": null, "node_slug": "v/undetermined-coefficients-4", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vAepSNDLZRM.mp4/vAepSNDLZRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vAepSNDLZRM.mp4/vAepSNDLZRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vAepSNDLZRM.m3u8/vAepSNDLZRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vAepSNDLZRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24756", "sha": "fbdff4f1ef1d6493026c7765b363d79052bf667c", "translated_description": "Putting it all together!", "image_url": "https://img.youtube.com/vi/vAepSNDLZRM/hqdefault.jpg", "youtube_id": "vAepSNDLZRM", "content_kind": "Video", "readable_id": "undetermined-coefficients-4"}], "twitter_url": "", "translated_description": "Now we can apply some of our second order linear differential equations skills to nonhomogeneous equations. Yay!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Now we can apply some of our second order linear differential equations skills to nonhomogeneous equations. Yay!", "x_pos": 0.0, "node_slug": "undetermined-coefficients", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax42e06477", "topic_page_url": "/math/differential-equations/second-order-differential-equations/undetermined-coefficients", "extended_slug": "math/differential-equations/second-order-differential-equations/undetermined-coefficients", "slug": "undetermined-coefficients", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c5ce90941933d52566dcb3563c99c5641a56b459", "standalone_title": "Method of undetermined coefficients", "y_pos": 0.0, "current_revision_key": "c5ce90941933d52566dcb3563c99c5641a56b459", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Linear differential equations that contain second derivatives", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Linear differential equations that contain second derivatives", "x_pos": 0.0, "node_slug": "second-order-differential-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd2c724f", "topic_page_url": "/math/differential-equations/second-order-differential-equations", "extended_slug": "math/differential-equations/second-order-differential-equations", "slug": "second-order-differential-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0e44ece16eb7c8e4d4739b3fd11078b71d237831", "standalone_title": "Second order differential equations", "y_pos": 0.0, "current_revision_key": "0e44ece16eb7c8e4d4739b3fd11078b71d237831", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/laplace-transform", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/laplace-transform", "translated_standalone_title": "Laplace transform", "translated_title": "Laplace transform", "gplus_url": "", "id": "xc75c5653", "old_key_name": "Bu9B8y1M7nG0bnlE7zKhXrDOPs0RI30FYr1MCI-H", "hide": false, "title": "Laplace transform", "child_data": [{"kind": "Topic", "id": "xe846e7de"}, {"kind": "Topic", "id": "x15ef2c18"}, {"kind": "Topic", "id": "x38bc63ac"}, {"kind": "Topic", "id": "x230ca1cb"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/laplace-transform/laplace-transform-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial", "translated_standalone_title": "Laplace transform", "translated_title": "Laplace transform", "gplus_url": "", "id": "xe846e7de", "old_key_name": "u_cHS6E0PSLpoR9Nfnk-xDfsIXtuS6D28yiLLy-r", "hide": false, "title": "Laplace transform", "child_data": [{"kind": "Video", "id": 24758}, {"kind": "Video", "id": 24760}, {"kind": "Video", "id": 24762}, {"kind": "Video", "id": 24764}], "children": [{"translated_youtube_id": "OiNh2DswFt4", "relative_url": "/video/laplace-transform-1", "has_questions": false, "keywords": "laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-1", "duration": 481, "translated_title": "Laplace transform 1", "translated_description_html": "Introduction to the Laplace Transform", "id": "24758", "description_html": "Introduction to the Laplace Transform", "title": "Laplace transform 1", "progress_key": "v24758", "edit_slug": "edit/v/24758", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Laplace Transform", "extra_properties": null, "node_slug": "v/laplace-transform-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OiNh2DswFt4.mp4/OiNh2DswFt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OiNh2DswFt4.mp4/OiNh2DswFt4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OiNh2DswFt4.m3u8/OiNh2DswFt4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OiNh2DswFt4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24758", "sha": "44993d5106e1d712f955f01bc41e068d0621bcbb", "translated_description": "Introduction to the Laplace Transform", "image_url": "https://img.youtube.com/vi/OiNh2DswFt4/hqdefault.jpg", "youtube_id": "OiNh2DswFt4", "content_kind": "Video", "readable_id": "laplace-transform-1"}, {"translated_youtube_id": "33TYoybjqPg", "relative_url": "/video/laplace-transform-2", "has_questions": false, "keywords": "laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-2", "duration": 454, "translated_title": "Laplace transform 2", "translated_description_html": "Laplace transform of e^at", "id": "24760", "description_html": "Laplace transform of e^at", "title": "Laplace transform 2", "progress_key": "v24760", "edit_slug": "edit/v/24760", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Laplace transform of e^at", "extra_properties": null, "node_slug": "v/laplace-transform-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/33TYoybjqPg.mp4/33TYoybjqPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/33TYoybjqPg.mp4/33TYoybjqPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/33TYoybjqPg.m3u8/33TYoybjqPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=33TYoybjqPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24760", "sha": "b1b0fda6857a11ce127e5aa9e29e9a7d7a151256", "translated_description": "Laplace transform of e^at", "image_url": "https://img.youtube.com/vi/33TYoybjqPg/hqdefault.jpg", "youtube_id": "33TYoybjqPg", "content_kind": "Video", "readable_id": "laplace-transform-2"}, {"translated_youtube_id": "gMcs6RF_LrQ", "relative_url": "/video/laplace-transform-3--l-sin-at", "has_questions": false, "keywords": "laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-3--l-sin-at", "duration": 644, "translated_title": "L{sin(at)}) - transform of sin(at)", "translated_description_html": "Laplace Transform of sin(at) (part 1)", "id": "24762", "description_html": "Laplace Transform of sin(at) (part 1)", "title": "L{sin(at)}) - transform of sin(at)", "progress_key": "v24762", "edit_slug": "edit/v/24762", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Laplace Transform of sin(at) (part 1)", "extra_properties": null, "node_slug": "v/laplace-transform-3--l-sin-at", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gMcs6RF_LrQ.mp4/gMcs6RF_LrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gMcs6RF_LrQ.mp4/gMcs6RF_LrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gMcs6RF_LrQ.m3u8/gMcs6RF_LrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gMcs6RF_LrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24762", "sha": "403983a8bd83cafde6b8d8946ba03fd783961c75", "translated_description": "Laplace Transform of sin(at) (part 1)", "image_url": "https://img.youtube.com/vi/gMcs6RF_LrQ/hqdefault.jpg", "youtube_id": "gMcs6RF_LrQ", "content_kind": "Video", "readable_id": "laplace-transform-3--l-sin-at"}, {"translated_youtube_id": "-cApVwKR1Ps", "relative_url": "/video/laplace-transform-4", "has_questions": false, "keywords": "Laplace, Transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-4", "duration": 553, "translated_title": "Part 2 of the transform of the sin(at)", "translated_description_html": "Part 2 of getting the Laplace transform of sin(at)", "id": "24764", "description_html": "Part 2 of getting the Laplace transform of sin(at)", "title": "Part 2 of the transform of the sin(at)", "progress_key": "v24764", "edit_slug": "edit/v/24764", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 2 of getting the Laplace transform of sin(at)", "extra_properties": null, "node_slug": "v/laplace-transform-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-cApVwKR1Ps.mp4/-cApVwKR1Ps.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-cApVwKR1Ps.mp4/-cApVwKR1Ps.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-cApVwKR1Ps.m3u8/-cApVwKR1Ps.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-cApVwKR1Ps&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24764", "sha": "02e8b51e57ba6f804e379f411cf46861e57c7b55", "translated_description": "Part 2 of getting the Laplace transform of sin(at)", "image_url": "https://img.youtube.com/vi/-cApVwKR1Ps/hqdefault.jpg", "youtube_id": "-cApVwKR1Ps", "content_kind": "Video", "readable_id": "laplace-transform-4"}], "twitter_url": "", "translated_description": "We now use one of the coolest techniques in mathematics to transform differential equations into algebraic ones. You'll also learn about transforms in general!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We now use one of the coolest techniques in mathematics to transform differential equations into algebraic ones. You'll also learn about transforms in general!", "x_pos": 0.0, "node_slug": "laplace-transform-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe846e7de", "topic_page_url": "/math/differential-equations/laplace-transform/laplace-transform-tutorial", "extended_slug": "math/differential-equations/laplace-transform/laplace-transform-tutorial", "slug": "laplace-transform-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f219df35a5a42c0eb2b45b8164c3c0eaaa895a6e", "standalone_title": "Laplace transform", "y_pos": 0.0, "current_revision_key": "f219df35a5a42c0eb2b45b8164c3c0eaaa895a6e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/laplace-transform/properties-of-laplace-transform", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform", "translated_standalone_title": "Properties of the Laplace transform", "translated_title": "Properties of the Laplace transform", "gplus_url": "", "id": "x15ef2c18", "old_key_name": "kqbV4epW7Udk8jabwY0H5wZoTJRHiAscXKwvJMT6", "hide": false, "title": "Properties of the Laplace transform", "child_data": [{"kind": "Video", "id": 24766}, {"kind": "Video", "id": 24768}, {"kind": "Video", "id": 24774}, {"kind": "Video", "id": 24778}, {"kind": "Video", "id": 24780}, {"kind": "Video", "id": 24782}, {"kind": "Video", "id": 24784}, {"kind": "Video", "id": 24788}, {"kind": "Video", "id": 24790}], "children": [{"translated_youtube_id": "E2VxbufzuWQ", "relative_url": "/video/laplace-transform-5", "has_questions": false, "keywords": "laplace, transform, linear, derivative", "ka_url": "http://www.khanacademy.org/video/laplace-transform-5", "duration": 696, "translated_title": "Laplace as linear operator and Laplace of derivatives", "translated_description_html": "Useful properties of the Laplace Transform", "id": "24766", "description_html": "Useful properties of the Laplace Transform", "title": "Laplace as linear operator and Laplace of derivatives", "progress_key": "v24766", "edit_slug": "edit/v/24766", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Useful properties of the Laplace Transform", "extra_properties": null, "node_slug": "v/laplace-transform-5", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E2VxbufzuWQ.mp4/E2VxbufzuWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E2VxbufzuWQ.mp4/E2VxbufzuWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E2VxbufzuWQ.m3u8/E2VxbufzuWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E2VxbufzuWQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24766", "sha": "077e9f91eb2704271c95052f9092076b2fee4605", "translated_description": "Useful properties of the Laplace Transform", "image_url": "https://img.youtube.com/vi/E2VxbufzuWQ/hqdefault.jpg", "youtube_id": "E2VxbufzuWQ", "content_kind": "Video", "readable_id": "laplace-transform-5"}, {"translated_youtube_id": "fyJkXBvcA2Q", "relative_url": "/video/laplace-transform-6", "has_questions": false, "keywords": "laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-6", "duration": 585, "translated_title": "Laplace transform of cos t and polynomials", "translated_description_html": "Laplace transform of cosine and polynomials!", "id": "24768", "description_html": "Laplace transform of cosine and polynomials!", "title": "Laplace transform of cos t and polynomials", "progress_key": "v24768", "edit_slug": "edit/v/24768", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Laplace transform of cosine and polynomials!", "extra_properties": null, "node_slug": "v/laplace-transform-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fyJkXBvcA2Q.mp4/fyJkXBvcA2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fyJkXBvcA2Q.mp4/fyJkXBvcA2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fyJkXBvcA2Q.m3u8/fyJkXBvcA2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fyJkXBvcA2Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24768", "sha": "fa581f0c8e06346a5c8e83302f71ae9492b53ab3", "translated_description": "Laplace transform of cosine and polynomials!", "image_url": "https://img.youtube.com/vi/fyJkXBvcA2Q/hqdefault.jpg", "youtube_id": "fyJkXBvcA2Q", "content_kind": "Video", "readable_id": "laplace-transform-6"}, {"translated_youtube_id": "_X_QwpXsdOs", "relative_url": "/video/more-laplace-transform-tools", "has_questions": false, "keywords": "laplace, transform, differential, equations", "ka_url": "http://www.khanacademy.org/video/more-laplace-transform-tools", "duration": 677, "translated_title": "\"Shifting\" transform by multiplying function by exponential", "translated_description_html": "A grab bag of things to know about the Laplace Transform.", "id": "24774", "description_html": "A grab bag of things to know about the Laplace Transform.", "title": "\"Shifting\" transform by multiplying function by exponential", "progress_key": "v24774", "edit_slug": "edit/v/24774", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A grab bag of things to know about the Laplace Transform.", "extra_properties": null, "node_slug": "v/more-laplace-transform-tools", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_X_QwpXsdOs.mp4/_X_QwpXsdOs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_X_QwpXsdOs.mp4/_X_QwpXsdOs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_X_QwpXsdOs.m3u8/_X_QwpXsdOs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_X_QwpXsdOs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24774", "sha": "da5339a94c5f3367f0e3187e299f87468a77d907", "translated_description": "A grab bag of things to know about the Laplace Transform.", "image_url": "https://img.youtube.com/vi/_X_QwpXsdOs/hqdefault.jpg", "youtube_id": "_X_QwpXsdOs", "content_kind": "Video", "readable_id": "more-laplace-transform-tools"}, {"translated_youtube_id": "qhKJ1DG9kYY", "relative_url": "/video/laplace-transform-of---l-t", "has_questions": false, "keywords": "differential, equations, laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-of---l-t", "duration": 546, "translated_title": "Laplace transform of t: L{t}", "translated_description_html": "Determining the Laplace Transform of t", "id": "24778", "description_html": "Determining the Laplace Transform of t", "title": "Laplace transform of t: L{t}", "progress_key": "v24778", "edit_slug": "edit/v/24778", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Determining the Laplace Transform of t", "extra_properties": null, "node_slug": "v/laplace-transform-of---l-t", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qhKJ1DG9kYY.mp4/qhKJ1DG9kYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qhKJ1DG9kYY.mp4/qhKJ1DG9kYY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qhKJ1DG9kYY.m3u8/qhKJ1DG9kYY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qhKJ1DG9kYY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24778", "sha": "45a82ebcd2aa3c979a91fa0a33de61db0faf550f", "translated_description": "Determining the Laplace Transform of t", "image_url": "https://img.youtube.com/vi/qhKJ1DG9kYY/hqdefault.jpg", "youtube_id": "qhKJ1DG9kYY", "content_kind": "Video", "readable_id": "laplace-transform-of---l-t"}, {"translated_youtube_id": "pZIaUx3UQoA", "relative_url": "/video/laplace-transform-of--t-n--l-t-n", "has_questions": false, "keywords": "differential, equations, laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-of--t-n--l-t-n", "duration": 616, "translated_title": "Laplace transform of t^n: L{t^n}", "translated_description_html": "Laplace Transform of t^n: L{t^n}", "id": "24780", "description_html": "Laplace Transform of t^n: L{t^n}", "title": "Laplace transform of t^n: L{t^n}", "progress_key": "v24780", "edit_slug": "edit/v/24780", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Laplace Transform of t^n: L{t^n}", "extra_properties": null, "node_slug": "v/laplace-transform-of--t-n--l-t-n", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pZIaUx3UQoA.mp4/pZIaUx3UQoA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pZIaUx3UQoA.mp4/pZIaUx3UQoA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pZIaUx3UQoA.m3u8/pZIaUx3UQoA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pZIaUx3UQoA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24780", "sha": "2302e7ba4ad91fff818d5465923d7222baa8005d", "translated_description": "Laplace Transform of t^n: L{t^n}", "image_url": "https://img.youtube.com/vi/pZIaUx3UQoA/hqdefault.jpg", "youtube_id": "pZIaUx3UQoA", "content_kind": "Video", "readable_id": "laplace-transform-of--t-n--l-t-n"}, {"translated_youtube_id": "4Mr7aEHQr8E", "relative_url": "/video/laplace-transform-of-the-unit-step-function", "has_questions": false, "keywords": "differential, equations, laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-transform-of-the-unit-step-function", "duration": 1455, "translated_title": "Laplace transform of the unit step function", "translated_description_html": "Introduction to the unit step function and its Laplace Transform", "id": "24782", "description_html": "Introduction to the unit step function and its Laplace Transform", "title": "Laplace transform of the unit step function", "progress_key": "v24782", "edit_slug": "edit/v/24782", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the unit step function and its Laplace Transform", "extra_properties": null, "node_slug": "v/laplace-transform-of-the-unit-step-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Mr7aEHQr8E.mp4/4Mr7aEHQr8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Mr7aEHQr8E.mp4/4Mr7aEHQr8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Mr7aEHQr8E.m3u8/4Mr7aEHQr8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Mr7aEHQr8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24782", "sha": "097fab8bf17b669c6426592402de8c519bdd9888", "translated_description": "Introduction to the unit step function and its Laplace Transform", "image_url": "https://img.youtube.com/vi/4Mr7aEHQr8E/hqdefault.jpg", "youtube_id": "4Mr7aEHQr8E", "content_kind": "Video", "readable_id": "laplace-transform-of-the-unit-step-function"}, {"translated_youtube_id": "BbqbvSig6Mc", "relative_url": "/video/inverse-laplace-examples", "has_questions": false, "keywords": "differential, equations, laplace, transform", "ka_url": "http://www.khanacademy.org/video/inverse-laplace-examples", "duration": 1155, "translated_title": "Inverse Laplace examples", "translated_description_html": "Using our toolkit to take some inverse Laplace Transforms", "id": "24784", "description_html": "Using our toolkit to take some inverse Laplace Transforms", "title": "Inverse Laplace examples", "progress_key": "v24784", "edit_slug": "edit/v/24784", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using our toolkit to take some inverse Laplace Transforms", "extra_properties": null, "node_slug": "v/inverse-laplace-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BbqbvSig6Mc.mp4/BbqbvSig6Mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BbqbvSig6Mc.mp4/BbqbvSig6Mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BbqbvSig6Mc.m3u8/BbqbvSig6Mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BbqbvSig6Mc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24784", "sha": "b58c2605a8b664df4e340c9c5e11e7e30688967c", "translated_description": "Using our toolkit to take some inverse Laplace Transforms", "image_url": "https://img.youtube.com/vi/BbqbvSig6Mc/hqdefault.jpg", "youtube_id": "BbqbvSig6Mc", "content_kind": "Video", "readable_id": "inverse-laplace-examples"}, {"translated_youtube_id": "4qfdCwys2ew", "relative_url": "/video/dirac-delta-function", "has_questions": false, "keywords": "differential, equations, laplace, transform, dirac", "ka_url": "http://www.khanacademy.org/video/dirac-delta-function", "duration": 1068, "translated_title": "Dirac delta function", "translated_description_html": "Introduction to the Dirac Delta Function", "id": "24788", "description_html": "Introduction to the Dirac Delta Function", "title": "Dirac delta function", "progress_key": "v24788", "edit_slug": "edit/v/24788", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Dirac Delta Function", "extra_properties": null, "node_slug": "v/dirac-delta-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4qfdCwys2ew.mp4/4qfdCwys2ew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4qfdCwys2ew.mp4/4qfdCwys2ew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4qfdCwys2ew.m3u8/4qfdCwys2ew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4qfdCwys2ew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24788", "sha": "17d7e75bf6e264a579aba11608b4ec43b6867cbc", "translated_description": "Introduction to the Dirac Delta Function", "image_url": "https://img.youtube.com/vi/4qfdCwys2ew/hqdefault.jpg", "youtube_id": "4qfdCwys2ew", "content_kind": "Video", "readable_id": "dirac-delta-function"}, {"translated_youtube_id": "vhfjEpQWWeE", "relative_url": "/video/laplace-transform-of-the-dirac-delta-function", "has_questions": false, "keywords": "differential, equations, laplace, transform, dirac", "ka_url": "http://www.khanacademy.org/video/laplace-transform-of-the-dirac-delta-function", "duration": 733, "translated_title": "Laplace transform of the dirac delta function", "translated_description_html": "Figuring out the Laplace Transform of the Dirac Delta Function", "id": "24790", "description_html": "Figuring out the Laplace Transform of the Dirac Delta Function", "title": "Laplace transform of the dirac delta function", "progress_key": "v24790", "edit_slug": "edit/v/24790", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the Laplace Transform of the Dirac Delta Function", "extra_properties": null, "node_slug": "v/laplace-transform-of-the-dirac-delta-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vhfjEpQWWeE.mp4/vhfjEpQWWeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vhfjEpQWWeE.mp4/vhfjEpQWWeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vhfjEpQWWeE.m3u8/vhfjEpQWWeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vhfjEpQWWeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24790", "sha": "875eb13eae1d8792e7c2ec42b1e1def03039f8ff", "translated_description": "Figuring out the Laplace Transform of the Dirac Delta Function", "image_url": "https://img.youtube.com/vi/vhfjEpQWWeE/hqdefault.jpg", "youtube_id": "vhfjEpQWWeE", "content_kind": "Video", "readable_id": "laplace-transform-of-the-dirac-delta-function"}], "twitter_url": "", "translated_description": "You know how to use the definition of the Laplace transform. In this tutorial, we'll explore some of the properties of the transform that will start to make it clear why they are so useful for differential equations.\n\nThis tutorial is paired well with the tutorial on using the \"Laplace transform to solve differential equations\". In fact you might come back to this tutorial over and over as you solve more and more problems.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know how to use the definition of the Laplace transform. In this tutorial, we'll explore some of the properties of the transform that will start to make it clear why they are so useful for differential equations.\n\nThis tutorial is paired well with the tutorial on using the \"Laplace transform to solve differential equations\". In fact you might come back to this tutorial over and over as you solve more and more problems.", "x_pos": 0.0, "node_slug": "properties-of-laplace-transform", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax15ef2c18", "topic_page_url": "/math/differential-equations/laplace-transform/properties-of-laplace-transform", "extended_slug": "math/differential-equations/laplace-transform/properties-of-laplace-transform", "slug": "properties-of-laplace-transform", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5d895fd0067df1a1d0f862edb7f7bae6a2f4ac63", "standalone_title": "Properties of the Laplace transform", "y_pos": 0.0, "current_revision_key": "5d895fd0067df1a1d0f862edb7f7bae6a2f4ac63", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation", "translated_standalone_title": "Laplace transform to solve a differential equation", "translated_title": "Laplace transform to solve a differential equation", "gplus_url": "", "id": "x38bc63ac", "old_key_name": "JnC8hxsVht53AY9Wob30e04V8Megt7HNm7IFoiYr", "hide": false, "title": "Laplace transform to solve a differential equation", "child_data": [{"kind": "Video", "id": 24770}, {"kind": "Video", "id": 24772}, {"kind": "Video", "id": 24776}, {"kind": "Video", "id": 24786}], "children": [{"translated_youtube_id": "3uYb-RhM7lU", "relative_url": "/video/laplace-transform-to-solve-an-equation", "has_questions": false, "keywords": "laplace, transform, differential, equation", "ka_url": "http://www.khanacademy.org/video/laplace-transform-to-solve-an-equation", "duration": 651, "translated_title": "Laplace transform to solve an equation", "translated_description_html": "Using the Laplace Transform to solve an equation we already knew how to solve.", "id": "24770", "description_html": "Using the Laplace Transform to solve an equation we already knew how to solve.", "title": "Laplace transform to solve an equation", "progress_key": "v24770", "edit_slug": "edit/v/24770", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the Laplace Transform to solve an equation we already knew how to solve.", "extra_properties": null, "node_slug": "v/laplace-transform-to-solve-an-equation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3uYb-RhM7lU.mp4/3uYb-RhM7lU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3uYb-RhM7lU.mp4/3uYb-RhM7lU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3uYb-RhM7lU.m3u8/3uYb-RhM7lU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3uYb-RhM7lU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24770", "sha": "0b5c8ea78cd8a42a8a5b58e16a19700f3b865f50", "translated_description": "Using the Laplace Transform to solve an equation we already knew how to solve.", "image_url": "https://img.youtube.com/vi/3uYb-RhM7lU/hqdefault.jpg", "youtube_id": "3uYb-RhM7lU", "content_kind": "Video", "readable_id": "laplace-transform-to-solve-an-equation"}, {"translated_youtube_id": "EdQ7Q9VoF44", "relative_url": "/video/laplace-transform-solves-an-equation-2", "has_questions": false, "keywords": "laplace, transform, differential, equation", "ka_url": "http://www.khanacademy.org/video/laplace-transform-solves-an-equation-2", "duration": 646, "translated_title": "Laplace transform solves an equation 2", "translated_description_html": "Second part of using the Laplace Transform to solve a differential equation.", "id": "24772", "description_html": "Second part of using the Laplace Transform to solve a differential equation.", "title": "Laplace transform solves an equation 2", "progress_key": "v24772", "edit_slug": "edit/v/24772", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second part of using the Laplace Transform to solve a differential equation.", "extra_properties": null, "node_slug": "v/laplace-transform-solves-an-equation-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EdQ7Q9VoF44.mp4/EdQ7Q9VoF44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EdQ7Q9VoF44.mp4/EdQ7Q9VoF44.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EdQ7Q9VoF44.m3u8/EdQ7Q9VoF44.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EdQ7Q9VoF44&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24772", "sha": "159e4d34ee247f165a36d5b28fa00f906bc68eb5", "translated_description": "Second part of using the Laplace Transform to solve a differential equation.", "image_url": "https://img.youtube.com/vi/EdQ7Q9VoF44/hqdefault.jpg", "youtube_id": "EdQ7Q9VoF44", "content_kind": "Video", "readable_id": "laplace-transform-solves-an-equation-2"}, {"translated_youtube_id": "nlUG4OKN1IY", "relative_url": "/video/using-the-laplace-transform-to-solve-a-nonhomogenous-eq", "has_questions": false, "keywords": "laplace, transform, differential, equations", "ka_url": "http://www.khanacademy.org/video/using-the-laplace-transform-to-solve-a-nonhomogenous-eq", "duration": 1128, "translated_title": "Using the Laplace transform to solve a nonhomogeneous eq", "translated_description_html": "Solving a non-homogeneous differential equation using the Laplace Transform", "id": "24776", "description_html": "Solving a non-homogeneous differential equation using the Laplace Transform", "title": "Using the Laplace transform to solve a nonhomogeneous eq", "progress_key": "v24776", "edit_slug": "edit/v/24776", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving a non-homogeneous differential equation using the Laplace Transform", "extra_properties": null, "node_slug": "v/using-the-laplace-transform-to-solve-a-nonhomogenous-eq", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nlUG4OKN1IY.mp4/nlUG4OKN1IY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nlUG4OKN1IY.mp4/nlUG4OKN1IY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nlUG4OKN1IY.m3u8/nlUG4OKN1IY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nlUG4OKN1IY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24776", "sha": "d208eb31d697ca1d4845adb6207138aaf56c574c", "translated_description": "Solving a non-homogeneous differential equation using the Laplace Transform", "image_url": "https://img.youtube.com/vi/nlUG4OKN1IY/hqdefault.jpg", "youtube_id": "nlUG4OKN1IY", "content_kind": "Video", "readable_id": "using-the-laplace-transform-to-solve-a-nonhomogenous-eq"}, {"translated_youtube_id": "R0JY8oWsuOY", "relative_url": "/video/laplace-step-function-differential-equation", "has_questions": false, "keywords": "differential, equations, laplace, transform", "ka_url": "http://www.khanacademy.org/video/laplace-step-function-differential-equation", "duration": 1152, "translated_title": "Laplace/step function differential equation", "translated_description_html": "Hairy differential equation involving a step function that we use the Laplace Transform to solve.", "id": "24786", "description_html": "Hairy differential equation involving a step function that we use the Laplace Transform to solve.", "title": "Laplace/step function differential equation", "progress_key": "v24786", "edit_slug": "edit/v/24786", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hairy differential equation involving a step function that we use the Laplace Transform to solve.", "extra_properties": null, "node_slug": "v/laplace-step-function-differential-equation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R0JY8oWsuOY.mp4/R0JY8oWsuOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R0JY8oWsuOY.mp4/R0JY8oWsuOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R0JY8oWsuOY.m3u8/R0JY8oWsuOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R0JY8oWsuOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24786", "sha": "8a0d8c0922f2dd0877be2f2fb7dfe2c2683fac1e", "translated_description": "Hairy differential equation involving a step function that we use the Laplace Transform to solve.", "image_url": "https://img.youtube.com/vi/R0JY8oWsuOY/hqdefault.jpg", "youtube_id": "R0JY8oWsuOY", "content_kind": "Video", "readable_id": "laplace-step-function-differential-equation"}], "twitter_url": "", "translated_description": "You know a good bit about taking Laplace transform and useful properties of the transform. You are dying to actually apply these skills to an actual differential equation. Wait no longer!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know a good bit about taking Laplace transform and useful properties of the transform. You are dying to actually apply these skills to an actual differential equation. Wait no longer!", "x_pos": 0.0, "node_slug": "laplace-transform-to-solve-differential-equation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax38bc63ac", "topic_page_url": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation", "extended_slug": "math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation", "slug": "laplace-transform-to-solve-differential-equation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b1d38c536aeb35522fc82dd2d374e9dc4199503b", "standalone_title": "Laplace transform to solve a differential equation", "y_pos": 0.0, "current_revision_key": "b1d38c536aeb35522fc82dd2d374e9dc4199503b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/differential-equations/laplace-transform/convolution-integral", "web_url": "", "ka_url": "http://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral", "translated_standalone_title": "The convolution integral", "translated_title": "The convolution integral", "gplus_url": "", "id": "x230ca1cb", "old_key_name": "G9OiUhO8MOHmmWiy5XbF8zUfWNWTyRMSEifsWAmp", "hide": false, "title": "The convolution integral", "child_data": [{"kind": "Video", "id": 24792}, {"kind": "Video", "id": 24794}, {"kind": "Video", "id": 24796}], "children": [{"translated_youtube_id": "IW4Reburjpc", "relative_url": "/video/introduction-to-the-convolution", "has_questions": false, "keywords": "convolution", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-convolution", "duration": 1139, "translated_title": "Introduction to the convolution", "translated_description_html": "Introduction to the Convolution", "id": "24792", "description_html": "Introduction to the Convolution", "title": "Introduction to the convolution", "progress_key": "v24792", "edit_slug": "edit/v/24792", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Convolution", "extra_properties": null, "node_slug": "v/introduction-to-the-convolution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IW4Reburjpc.mp4/IW4Reburjpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IW4Reburjpc.mp4/IW4Reburjpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IW4Reburjpc.m3u8/IW4Reburjpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IW4Reburjpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24792", "sha": "89f4853a3e615ea0c8b1a86ca3df83d464b98e04", "translated_description": "Introduction to the Convolution", "image_url": "https://img.youtube.com/vi/IW4Reburjpc/hqdefault.jpg", "youtube_id": "IW4Reburjpc", "content_kind": "Video", "readable_id": "introduction-to-the-convolution"}, {"translated_youtube_id": "TJgBEI3drUc", "relative_url": "/video/the-convolution-and-the-laplace-transform", "has_questions": false, "keywords": "convolution, laplace, differential, equations", "ka_url": "http://www.khanacademy.org/video/the-convolution-and-the-laplace-transform", "duration": 826, "translated_title": "The convolution and the laplace transform", "translated_description_html": "Understanding how the product of the Transforms of two functions relates to their convolution.", "id": "24794", "description_html": "Understanding how the product of the Transforms of two functions relates to their convolution.", "title": "The convolution and the laplace transform", "progress_key": "v24794", "edit_slug": "edit/v/24794", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding how the product of the Transforms of two functions relates to their convolution.", "extra_properties": null, "node_slug": "v/the-convolution-and-the-laplace-transform", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TJgBEI3drUc.mp4/TJgBEI3drUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TJgBEI3drUc.mp4/TJgBEI3drUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TJgBEI3drUc.m3u8/TJgBEI3drUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TJgBEI3drUc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24794", "sha": "249ce8b075a95a5bf3bc75859ce59da608d873dd", "translated_description": "Understanding how the product of the Transforms of two functions relates to their convolution.", "image_url": "https://img.youtube.com/vi/TJgBEI3drUc/hqdefault.jpg", "youtube_id": "TJgBEI3drUc", "content_kind": "Video", "readable_id": "the-convolution-and-the-laplace-transform"}, {"translated_youtube_id": "rfyq32mHcYs", "relative_url": "/video/using-the-convolution-theorem-to-solve-an-initial-value-prob", "has_questions": false, "keywords": "laplace,convolution", "ka_url": "http://www.khanacademy.org/video/using-the-convolution-theorem-to-solve-an-initial-value-prob", "duration": 734, "translated_title": "Using the convolution theorem to solve an initial value prob", "translated_description_html": "Using the Convolution Theorem to solve an initial value problem", "id": "24796", "description_html": "Using the Convolution Theorem to solve an initial value problem", "title": "Using the convolution theorem to solve an initial value prob", "progress_key": "v24796", "edit_slug": "edit/v/24796", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using the Convolution Theorem to solve an initial value problem", "extra_properties": null, "node_slug": "v/using-the-convolution-theorem-to-solve-an-initial-value-prob", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:41:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rfyq32mHcYs.mp4/rfyq32mHcYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rfyq32mHcYs.mp4/rfyq32mHcYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rfyq32mHcYs.m3u8/rfyq32mHcYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rfyq32mHcYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24796", "sha": "01ec6bcbeee043b34c00990fa4107ed43abf3ef2", "translated_description": "Using the Convolution Theorem to solve an initial value problem", "image_url": "https://img.youtube.com/vi/rfyq32mHcYs/hqdefault.jpg", "youtube_id": "rfyq32mHcYs", "content_kind": "Video", "readable_id": "using-the-convolution-theorem-to-solve-an-initial-value-prob"}], "twitter_url": "", "translated_description": "This tutorial won't be as convoluted as you might suspect. We'll see what multiplying transforms in the s-domain give us in the time domain.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial won't be as convoluted as you might suspect. We'll see what multiplying transforms in the s-domain give us in the time domain.", "x_pos": 0.0, "node_slug": "convolution-integral", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax230ca1cb", "topic_page_url": "/math/differential-equations/laplace-transform/convolution-integral", "extended_slug": "math/differential-equations/laplace-transform/convolution-integral", "slug": "convolution-integral", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2eae261e1c0f4943ef16e2df0e13d221e649c875", "standalone_title": "The convolution integral", "y_pos": 0.0, "current_revision_key": "2eae261e1c0f4943ef16e2df0e13d221e649c875", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Transforms and the Laplace transform in particular. Convolution integrals.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Transforms and the Laplace transform in particular. Convolution integrals.", "x_pos": 0.0, "node_slug": "laplace-transform", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc75c5653", "topic_page_url": "/math/differential-equations/laplace-transform", "extended_slug": "math/differential-equations/laplace-transform", "slug": "laplace-transform", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8890d8a878a48efe7f0f43acc3dd3e71dca14322", "standalone_title": "Laplace transform", "y_pos": 0.0, "current_revision_key": "8890d8a878a48efe7f0f43acc3dd3e71dca14322", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.", "x_pos": 0.0, "node_slug": "differential-equations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2bf234e8", "topic_page_url": "/math/differential-equations", "extended_slug": "math/differential-equations", "slug": "differential-equations", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "eebe466806cbede74d7fd2edf38fa767cf43b49b", "standalone_title": "Differential equations", "y_pos": 0.0, "current_revision_key": "eebe466806cbede74d7fd2edf38fa767cf43b49b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra", "translated_standalone_title": "Linear algebra", "translated_title": "Linear algebra", "gplus_url": "", "id": "xe2ae19cb", "old_key_name": "xWSlmnZsvEPm08ptMWdV1r4HL89_weG5SyPZY7ng", "hide": false, "title": "Linear algebra", "child_data": [{"kind": "Topic", "id": "x5b1b89e0"}, {"kind": "Topic", "id": "x7a8cfdaa"}, {"kind": "Topic", "id": "xa2a6b742"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces", "translated_standalone_title": "Vectors and spaces", "translated_title": "Vectors and spaces", "gplus_url": "", "id": "x5b1b89e0", "old_key_name": "j7_tJ6RlpQEyxR9MXYA6eMn6lhBTo2CGGXjQ9q1X", "hide": false, "title": "Vectors and spaces", "child_data": [{"kind": "Topic", "id": "x7291eb9f"}, {"kind": "Topic", "id": "x5767834a"}, {"kind": "Topic", "id": "x364bd4b8"}, {"kind": "Topic", "id": "x77d03ae7"}, {"kind": "Topic", "id": "xfa24ce4a"}, {"kind": "Topic", "id": "x1bd580cd"}, {"kind": "Topic", "id": "xb622e18e"}], "children": [{"icon_src": "/images/power-mode/badges/vectors-40x40.png", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/vectors", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors", "translated_standalone_title": "Vectors", "translated_title": "Vectors", "gplus_url": "", "id": "x7291eb9f", "old_key_name": "t4B-w8_x_OAaX1N6RNH_7Pessb4vRhqDR-jge3sr", "hide": false, "title": "Vectors", "child_data": [{"kind": "Video", "id": "xbb63d308"}, {"kind": "Video", "id": "x184489c0"}, {"kind": "Video", "id": "x6bc2f1ae"}, {"kind": "Video", "id": "xf85df5ef"}, {"kind": "Video", "id": 25221}, {"kind": "Exercise", "id": 75894985}, {"kind": "Video", "id": "xad013660"}, {"kind": "Exercise", "id": 67078190}, {"kind": "Video", "id": 25223}], "children": [{"translated_youtube_id": "br7tS1t2SFE", "relative_url": "/video/vector-introduction-linear-algebra", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vector-introduction-linear-algebra", "duration": 471, "translated_title": "Vector intro for linear algebra", "translated_description_html": "", "id": "xbb63d308", "description_html": "", "title": "Vector intro for linear algebra", "progress_key": "vxbb63d308", "edit_slug": "edit/v/xbb63d308", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vector-introduction-linear-algebra", "deleted": false, "backup_timestamp": "2013-11-01T22:57:01Z", "date_added": "2013-11-01T22:57:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/br7tS1t2SFE.mp4/br7tS1t2SFE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/br7tS1t2SFE.mp4/br7tS1t2SFE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/br7tS1t2SFE.m3u8/br7tS1t2SFE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=br7tS1t2SFE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb63d308", "sha": "a90645ebbf3eb52d4da1841f54a798462fcd6b2c", "translated_description": "", "image_url": "https://img.youtube.com/vi/br7tS1t2SFE/hqdefault.jpg", "youtube_id": "br7tS1t2SFE", "content_kind": "Video", "readable_id": "vector-introduction-linear-algebra"}, {"translated_youtube_id": "lCsjJbZHhHU", "relative_url": "/video/real-coordinate-spaces", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/real-coordinate-spaces", "duration": 381, "translated_title": "Real coordinate spaces", "translated_description_html": "", "id": "x184489c0", "description_html": "", "title": "Real coordinate spaces", "progress_key": "vx184489c0", "edit_slug": "edit/v/x184489c0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/real-coordinate-spaces", "deleted": false, "backup_timestamp": "2013-11-04T17:22:18Z", "date_added": "2013-11-04T17:22:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lCsjJbZHhHU.mp4/lCsjJbZHhHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lCsjJbZHhHU.mp4/lCsjJbZHhHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lCsjJbZHhHU.m3u8/lCsjJbZHhHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lCsjJbZHhHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx184489c0", "sha": "a854174dc7c21d0f07366f71eb40250d292a55fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/lCsjJbZHhHU/hqdefault.jpg", "youtube_id": "lCsjJbZHhHU", "content_kind": "Video", "readable_id": "real-coordinate-spaces"}, {"translated_youtube_id": "8QihetGj3pg", "relative_url": "/video/adding-vectors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-vectors", "duration": 432, "translated_title": "Adding vectors", "translated_description_html": "", "id": "x6bc2f1ae", "description_html": "", "title": "Adding vectors", "progress_key": "vx6bc2f1ae", "edit_slug": "edit/v/x6bc2f1ae", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/adding-vectors", "deleted": false, "backup_timestamp": "2013-11-04T17:22:18Z", "date_added": "2013-11-04T17:22:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8QihetGj3pg.mp4/8QihetGj3pg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8QihetGj3pg.mp4/8QihetGj3pg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8QihetGj3pg.m3u8/8QihetGj3pg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8QihetGj3pg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6bc2f1ae", "sha": "b6a3db02ad9a6ecc3c6e15c76b95239dbb69ea07", "translated_description": "", "image_url": "https://img.youtube.com/vi/8QihetGj3pg/hqdefault.jpg", "youtube_id": "8QihetGj3pg", "content_kind": "Video", "readable_id": "adding-vectors"}, {"translated_youtube_id": "ZN7YaSbY3-w", "relative_url": "/video/multiplying-vector-by-scalar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiplying-vector-by-scalar", "duration": 344, "translated_title": "Multiplying vector by scalar", "translated_description_html": "", "id": "xf85df5ef", "description_html": "", "title": "Multiplying vector by scalar", "progress_key": "vxf85df5ef", "edit_slug": "edit/v/xf85df5ef", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/multiplying-vector-by-scalar", "deleted": false, "backup_timestamp": "2013-11-04T17:22:19Z", "date_added": "2013-11-04T17:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZN7YaSbY3-w.mp4/ZN7YaSbY3-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZN7YaSbY3-w.mp4/ZN7YaSbY3-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZN7YaSbY3-w.m3u8/ZN7YaSbY3-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZN7YaSbY3-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf85df5ef", "sha": "0c07abd748d662392443371447059bddb54815b3", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZN7YaSbY3-w/hqdefault.jpg", "youtube_id": "ZN7YaSbY3-w", "content_kind": "Video", "readable_id": "multiplying-vector-by-scalar"}, {"translated_youtube_id": "r4bH66vYjss", "relative_url": "/video/linear-algebra--vector-examples", "has_questions": false, "keywords": "Linear, Algebra, Vectors", "ka_url": "http://www.khanacademy.org/video/linear-algebra--vector-examples", "duration": 1533, "translated_title": "Vector examples", "translated_description_html": "Visually understanding basic vector operations", "id": "25221", "description_html": "Visually understanding basic vector operations", "title": "Vector examples", "progress_key": "v25221", "edit_slug": "edit/v/25221", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visually understanding basic vector operations", "extra_properties": null, "node_slug": "v/linear-algebra--vector-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r4bH66vYjss.mp4/r4bH66vYjss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r4bH66vYjss.mp4/r4bH66vYjss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r4bH66vYjss.m3u8/r4bH66vYjss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r4bH66vYjss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25221", "sha": "493454c43f9c88c785b9f16f56f64975b664f4be", "translated_description": "Visually understanding basic vector operations", "image_url": "https://img.youtube.com/vi/r4bH66vYjss/hqdefault.jpg", "youtube_id": "r4bH66vYjss", "content_kind": "Video", "readable_id": "linear-algebra--vector-examples"}, {"translated_youtube_id": "9ylUcCOTH8Y", "relative_url": "/video/intro-unit-vector-notation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intro-unit-vector-notation", "duration": 479, "translated_title": "Unit vector notation", "translated_description_html": "", "id": "xad013660", "description_html": "", "title": "Unit vector notation", "progress_key": "vxad013660", "edit_slug": "edit/v/xad013660", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/intro-unit-vector-notation", "deleted": false, "backup_timestamp": "2013-11-04T21:18:58Z", "date_added": "2013-11-04T21:18:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9ylUcCOTH8Y.mp4/9ylUcCOTH8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9ylUcCOTH8Y.mp4/9ylUcCOTH8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9ylUcCOTH8Y.m3u8/9ylUcCOTH8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9ylUcCOTH8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxad013660", "sha": "457f1b1191a4c87a34960fcb55fb3c29dd371b4e", "translated_description": "", "image_url": "https://img.youtube.com/vi/9ylUcCOTH8Y/hqdefault.jpg", "youtube_id": "9ylUcCOTH8Y", "content_kind": "Video", "readable_id": "intro-unit-vector-notation"}, {"translated_youtube_id": "hWhs2cIj7Cw", "relative_url": "/video/linear-algebra--parametric-representations-of-lines", "has_questions": false, "keywords": "Linear, Algebra, Vectors", "ka_url": "http://www.khanacademy.org/video/linear-algebra--parametric-representations-of-lines", "duration": 1486, "translated_title": "Parametric representations of lines", "translated_description_html": "Parametric Representations of Lines in R2 and R3", "id": "25223", "description_html": "Parametric Representations of Lines in R2 and R3", "title": "Parametric representations of lines", "progress_key": "v25223", "edit_slug": "edit/v/25223", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parametric Representations of Lines in R2 and R3", "extra_properties": null, "node_slug": "v/linear-algebra--parametric-representations-of-lines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hWhs2cIj7Cw.mp4/hWhs2cIj7Cw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hWhs2cIj7Cw.mp4/hWhs2cIj7Cw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hWhs2cIj7Cw.m3u8/hWhs2cIj7Cw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hWhs2cIj7Cw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25223", "sha": "bac28303a38ef9826b8a4f6ec9f873d15b12d162", "translated_description": "Parametric Representations of Lines in R2 and R3", "image_url": "https://img.youtube.com/vi/hWhs2cIj7Cw/hqdefault.jpg", "youtube_id": "hWhs2cIj7Cw", "content_kind": "Video", "readable_id": "linear-algebra--parametric-representations-of-lines"}], "twitter_url": "", "translated_description": "We will begin our journey through linear algebra by defining and conceptualizing what a vector is (rather than starting with matrices and matrix operations like in a more basic algebra course) and defining some basic operations (like addition, subtraction and scalar multiplication).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": true, "description": "We will begin our journey through linear algebra by defining and conceptualizing what a vector is (rather than starting with matrices and matrix operations like in a more basic algebra course) and defining some basic operations (like addition, subtraction and scalar multiplication).", "x_pos": 18.0, "node_slug": "vectors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7291eb9f", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/vectors", "extended_slug": "math/linear-algebra/vectors_and_spaces/vectors", "slug": "vectors", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5d8327a0a1d83f01414e894547bfb01882a7551b", "standalone_title": "Vectors", "y_pos": 32.0, "current_revision_key": "5d8327a0a1d83f01414e894547bfb01882a7551b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/linear_combinations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations", "translated_standalone_title": "Linear combinations and spans", "translated_title": "Linear combinations and spans", "gplus_url": "", "id": "x5767834a", "old_key_name": "_g5DPoOF8pKj6w2lCTsO9m6xh6yGGPInmCFZ3ZN2", "hide": false, "title": "Linear combinations and spans", "child_data": [{"kind": "Video", "id": 25225}], "children": [{"translated_youtube_id": "Qm_OS-8COwU", "relative_url": "/video/linear-combinations-and-span", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination", "ka_url": "http://www.khanacademy.org/video/linear-combinations-and-span", "duration": 1235, "translated_title": "Linear combinations and span", "translated_description_html": "Understanding linear combinations and spans of vectors", "id": "25225", "description_html": "Understanding linear combinations and spans of vectors", "title": "Linear combinations and span", "progress_key": "v25225", "edit_slug": "edit/v/25225", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding linear combinations and spans of vectors", "extra_properties": null, "node_slug": "v/linear-combinations-and-span", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qm_OS-8COwU.mp4/Qm_OS-8COwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qm_OS-8COwU.mp4/Qm_OS-8COwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qm_OS-8COwU.m3u8/Qm_OS-8COwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qm_OS-8COwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25225", "sha": "92be0e7c79d682bfecae8fbe2bfb7386c2de53ba", "translated_description": "Understanding linear combinations and spans of vectors", "image_url": "https://img.youtube.com/vi/Qm_OS-8COwU/hqdefault.jpg", "youtube_id": "Qm_OS-8COwU", "content_kind": "Video", "readable_id": "linear-combinations-and-span"}], "twitter_url": "", "translated_description": "Given a set of vectors, what other vectors can you create by adding and/or subtracting scalar multiples of those vectors. The set of vectors that you can create through these linear combinations of the original set is called the \"span\" of the set.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Given a set of vectors, what other vectors can you create by adding and/or subtracting scalar multiples of those vectors. The set of vectors that you can create through these linear combinations of the original set is called the \"span\" of the set.", "x_pos": 0.0, "node_slug": "linear_combinations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5767834a", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/linear_combinations", "extended_slug": "math/linear-algebra/vectors_and_spaces/linear_combinations", "slug": "linear_combinations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ac67ad86554ee92c231ff6c67406937dcbc9cb72", "standalone_title": "Linear combinations and spans", "y_pos": 0.0, "current_revision_key": "ac67ad86554ee92c231ff6c67406937dcbc9cb72", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/linear_independence", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence", "translated_standalone_title": "Linear dependence and independence", "translated_title": "Linear dependence and independence", "gplus_url": "", "id": "x364bd4b8", "old_key_name": "DrPA4lcmgX3AL4O2IKAvKFrCmi2c2rtrE-KryOPS", "hide": false, "title": "Linear dependence and independence", "child_data": [{"kind": "Video", "id": 25227}, {"kind": "Video", "id": 25229}, {"kind": "Video", "id": 25231}], "children": [{"translated_youtube_id": "CrV1xCWdY-g", "relative_url": "/video/linear-algebra--introduction-to-linear-independence", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination", "ka_url": "http://www.khanacademy.org/video/linear-algebra--introduction-to-linear-independence", "duration": 946, "translated_title": "Introduction to linear independence", "translated_description_html": "Introduction to linear dependence and independence", "id": "25227", "description_html": "Introduction to linear dependence and independence", "title": "Introduction to linear independence", "progress_key": "v25227", "edit_slug": "edit/v/25227", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to linear dependence and independence", "extra_properties": null, "node_slug": "v/linear-algebra--introduction-to-linear-independence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CrV1xCWdY-g.mp4/CrV1xCWdY-g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CrV1xCWdY-g.mp4/CrV1xCWdY-g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CrV1xCWdY-g.m3u8/CrV1xCWdY-g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CrV1xCWdY-g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25227", "sha": "8620206a6996eec4921fccf0333ee02f246a77d6", "translated_description": "Introduction to linear dependence and independence", "image_url": "https://img.youtube.com/vi/CrV1xCWdY-g/hqdefault.jpg", "youtube_id": "CrV1xCWdY-g", "content_kind": "Video", "readable_id": "linear-algebra--introduction-to-linear-independence"}, {"translated_youtube_id": "Alhcv5d_XOs", "relative_url": "/video/more-on-linear-independence", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination, dependence, independence", "ka_url": "http://www.khanacademy.org/video/more-on-linear-independence", "duration": 1058, "translated_title": "More on linear independence", "translated_description_html": "More examples determining linear dependence or independence.", "id": "25229", "description_html": "More examples determining linear dependence or independence.", "title": "More on linear independence", "progress_key": "v25229", "edit_slug": "edit/v/25229", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More examples determining linear dependence or independence.", "extra_properties": null, "node_slug": "v/more-on-linear-independence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Alhcv5d_XOs.mp4/Alhcv5d_XOs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Alhcv5d_XOs.mp4/Alhcv5d_XOs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Alhcv5d_XOs.m3u8/Alhcv5d_XOs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Alhcv5d_XOs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25229", "sha": "a11a1f658ab1581c3572db68ad73020fa35d7380", "translated_description": "More examples determining linear dependence or independence.", "image_url": "https://img.youtube.com/vi/Alhcv5d_XOs/hqdefault.jpg", "youtube_id": "Alhcv5d_XOs", "content_kind": "Video", "readable_id": "more-on-linear-independence"}, {"translated_youtube_id": "9kW6zFK5E5c", "relative_url": "/video/span-and-linear-independence-example", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination, dependence, independence", "ka_url": "http://www.khanacademy.org/video/span-and-linear-independence-example", "duration": 1013, "translated_title": "Span and linear independence example", "translated_description_html": "Determining whether 3 vectors are linearly independent and/or span R3", "id": "25231", "description_html": "Determining whether 3 vectors are linearly independent and/or span R3", "title": "Span and linear independence example", "progress_key": "v25231", "edit_slug": "edit/v/25231", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining whether 3 vectors are linearly independent and/or span R3", "extra_properties": null, "node_slug": "v/span-and-linear-independence-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9kW6zFK5E5c.mp4/9kW6zFK5E5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9kW6zFK5E5c.mp4/9kW6zFK5E5c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9kW6zFK5E5c.m3u8/9kW6zFK5E5c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9kW6zFK5E5c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25231", "sha": "0727d6866001ec351de9e641584bce28c15546a9", "translated_description": "Determining whether 3 vectors are linearly independent and/or span R3", "image_url": "https://img.youtube.com/vi/9kW6zFK5E5c/hqdefault.jpg", "youtube_id": "9kW6zFK5E5c", "content_kind": "Video", "readable_id": "span-and-linear-independence-example"}], "twitter_url": "", "translated_description": "If no vector in a set can be created from a linear combination of the other vectors in the set, then we say that the set in linearly independent. Linearly independent sets are great because there aren't any extra, unnecessary vectors lying around in the set. :)", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If no vector in a set can be created from a linear combination of the other vectors in the set, then we say that the set in linearly independent. Linearly independent sets are great because there aren't any extra, unnecessary vectors lying around in the set. :)", "x_pos": 0.0, "node_slug": "linear_independence", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax364bd4b8", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/linear_independence", "extended_slug": "math/linear-algebra/vectors_and_spaces/linear_independence", "slug": "linear_independence", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0ca8b6c31361276cb7411731291c55d99ae79d6c", "standalone_title": "Linear dependence and independence", "y_pos": 0.0, "current_revision_key": "0ca8b6c31361276cb7411731291c55d99ae79d6c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/subspace_basis", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis", "translated_standalone_title": "Subspaces and the basis for a subspace", "translated_title": "Subspaces and the basis for a subspace", "gplus_url": "", "id": "x77d03ae7", "old_key_name": "u24AM35xVJjWgI7Lg0iQbStBpC94StxdS39PFc8r", "hide": false, "title": "Subspaces and the basis for a subspace", "child_data": [{"kind": "Video", "id": 25233}, {"kind": "Video", "id": 25235}], "children": [{"translated_youtube_id": "pMFv6liWK4M", "relative_url": "/video/linear-subspaces", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination, subspace", "ka_url": "http://www.khanacademy.org/video/linear-subspaces", "duration": 1409, "translated_title": "Linear subspaces", "translated_description_html": "Introduction to linear subspaces of Rn", "id": "25233", "description_html": "Introduction to linear subspaces of Rn", "title": "Linear subspaces", "progress_key": "v25233", "edit_slug": "edit/v/25233", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to linear subspaces of Rn", "extra_properties": null, "node_slug": "v/linear-subspaces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.mp4/pMFv6liWK4M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.mp4/pMFv6liWK4M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.m3u8/pMFv6liWK4M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pMFv6liWK4M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25233", "sha": "0d0ecb4bd2f49b961e9e4b04acadc84d13b9fb98", "translated_description": "Introduction to linear subspaces of Rn", "image_url": "https://img.youtube.com/vi/pMFv6liWK4M/hqdefault.jpg", "youtube_id": "pMFv6liWK4M", "content_kind": "Video", "readable_id": "linear-subspaces"}, {"translated_youtube_id": "zntNi3-ybfQ", "relative_url": "/video/linear-algebra--basis-of-a-subspace", "has_questions": false, "keywords": "Linear, Algebra, Vectors, span, combination, basis, subspace", "ka_url": "http://www.khanacademy.org/video/linear-algebra--basis-of-a-subspace", "duration": 1140, "translated_title": "Basis of a subspace", "translated_description_html": "Understanding the definition of a basis of a subspace", "id": "25235", "description_html": "Understanding the definition of a basis of a subspace", "title": "Basis of a subspace", "progress_key": "v25235", "edit_slug": "edit/v/25235", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the definition of a basis of a subspace", "extra_properties": null, "node_slug": "v/linear-algebra--basis-of-a-subspace", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zntNi3-ybfQ.mp4/zntNi3-ybfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zntNi3-ybfQ.mp4/zntNi3-ybfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zntNi3-ybfQ.m3u8/zntNi3-ybfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zntNi3-ybfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25235", "sha": "4b16e79cd1b567ef315af0ae515b28407d55cb72", "translated_description": "Understanding the definition of a basis of a subspace", "image_url": "https://img.youtube.com/vi/zntNi3-ybfQ/hqdefault.jpg", "youtube_id": "zntNi3-ybfQ", "content_kind": "Video", "readable_id": "linear-algebra--basis-of-a-subspace"}], "twitter_url": "", "translated_description": "In this tutorial, we'll define what a \"subspace\" is --essentially a subset of vectors that has some special properties. We'll then think of a set of vectors that can most efficiently be use to construct a subspace which we will call a \"basis\".", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we'll define what a \"subspace\" is --essentially a subset of vectors that has some special properties. We'll then think of a set of vectors that can most efficiently be use to construct a subspace which we will call a \"basis\".", "x_pos": 0.0, "node_slug": "subspace_basis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax77d03ae7", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/subspace_basis", "extended_slug": "math/linear-algebra/vectors_and_spaces/subspace_basis", "slug": "subspace_basis", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "63a94ff64fb06a0f3b396547afa82d75c96bb6d1", "standalone_title": "Subspaces and the basis for a subspace", "y_pos": 0.0, "current_revision_key": "63a94ff64fb06a0f3b396547afa82d75c96bb6d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/dot_cross_products", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products", "translated_standalone_title": "Vector dot and cross products", "translated_title": "Vector dot and cross products", "gplus_url": "", "id": "xfa24ce4a", "old_key_name": "map5e2IPkSHeg440xb5hxeDB0PNWWxoD1XyohZfw", "hide": false, "title": "Vector dot and cross products", "child_data": [{"kind": "Video", "id": 25237}, {"kind": "Video", "id": 25239}, {"kind": "Video", "id": 25241}, {"kind": "Video", "id": 25243}, {"kind": "Video", "id": 25245}, {"kind": "Video", "id": 25247}, {"kind": "Video", "id": 25249}, {"kind": "Video", "id": 25251}, {"kind": "Video", "id": 25253}, {"kind": "Video", "id": 8187461}, {"kind": "Video", "id": 8187465}, {"kind": "Video", "id": 8187466}, {"kind": "Video", "id": 8187467}], "children": [{"translated_youtube_id": "WNuIhXo39_k", "relative_url": "/video/vector-dot-product-and-vector-length", "has_questions": false, "keywords": "vector, dot, product, length", "ka_url": "http://www.khanacademy.org/video/vector-dot-product-and-vector-length", "duration": 550, "translated_title": "Vector dot product and vector length", "translated_description_html": "Definitions of the vector dot product and vector length", "id": "25237", "description_html": "Definitions of the vector dot product and vector length", "title": "Vector dot product and vector length", "progress_key": "v25237", "edit_slug": "edit/v/25237", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Definitions of the vector dot product and vector length", "extra_properties": null, "node_slug": "v/vector-dot-product-and-vector-length", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WNuIhXo39_k.mp4/WNuIhXo39_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WNuIhXo39_k.mp4/WNuIhXo39_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WNuIhXo39_k.m3u8/WNuIhXo39_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WNuIhXo39_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25237", "sha": "e613b261259c640e444998d60b3806a3240fb5a2", "translated_description": "Definitions of the vector dot product and vector length", "image_url": "https://img.youtube.com/vi/WNuIhXo39_k/hqdefault.jpg", "youtube_id": "WNuIhXo39_k", "content_kind": "Video", "readable_id": "vector-dot-product-and-vector-length"}, {"translated_youtube_id": "rVQ3G9epCjw", "relative_url": "/video/proving-vector-dot-product-properties", "has_questions": false, "keywords": "vector, dot, product, length", "ka_url": "http://www.khanacademy.org/video/proving-vector-dot-product-properties", "duration": 645, "translated_title": "Proving vector dot product properties", "translated_description_html": "Proving the \"associative\", \"distributive\" and \"commutative\" properties for vector dot products.", "id": "25239", "description_html": "Proving the \"associative\", \"distributive\" and \"commutative\" properties for vector dot products.", "title": "Proving vector dot product properties", "progress_key": "v25239", "edit_slug": "edit/v/25239", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving the \"associative\", \"distributive\" and \"commutative\" properties for vector dot products.", "extra_properties": null, "node_slug": "v/proving-vector-dot-product-properties", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rVQ3G9epCjw.mp4/rVQ3G9epCjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rVQ3G9epCjw.mp4/rVQ3G9epCjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rVQ3G9epCjw.m3u8/rVQ3G9epCjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rVQ3G9epCjw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25239", "sha": "6f00f6a0b46558760d8e4a7df50727573c430037", "translated_description": "Proving the \"associative\", \"distributive\" and \"commutative\" properties for vector dot products.", "image_url": "https://img.youtube.com/vi/rVQ3G9epCjw/hqdefault.jpg", "youtube_id": "rVQ3G9epCjw", "content_kind": "Video", "readable_id": "proving-vector-dot-product-properties"}, {"translated_youtube_id": "r2PogGDl8_U", "relative_url": "/video/proof-of-the-cauchy-schwarz-inequality", "has_questions": false, "keywords": "cauchy, swarz, vector, dot, product, length, linear, algebra", "ka_url": "http://www.khanacademy.org/video/proof-of-the-cauchy-schwarz-inequality", "duration": 1015, "translated_title": "Proof of the Cauchy-Schwarz inequality", "translated_description_html": "Proof of the Cauchy-Schwarz Inequality", "id": "25241", "description_html": "Proof of the Cauchy-Schwarz Inequality", "title": "Proof of the Cauchy-Schwarz inequality", "progress_key": "v25241", "edit_slug": "edit/v/25241", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of the Cauchy-Schwarz Inequality", "extra_properties": null, "node_slug": "v/proof-of-the-cauchy-schwarz-inequality", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r2PogGDl8_U.mp4/r2PogGDl8_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r2PogGDl8_U.mp4/r2PogGDl8_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r2PogGDl8_U.m3u8/r2PogGDl8_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r2PogGDl8_U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25241", "sha": "d841b0b05de2f8cc9e830adbd619a0a26d60b366", "translated_description": "Proof of the Cauchy-Schwarz Inequality", "image_url": "https://img.youtube.com/vi/r2PogGDl8_U/hqdefault.jpg", "youtube_id": "r2PogGDl8_U", "content_kind": "Video", "readable_id": "proof-of-the-cauchy-schwarz-inequality"}, {"translated_youtube_id": "PsNidCBr5II", "relative_url": "/video/linear-algebra--vector-triangle-inequality", "has_questions": false, "keywords": "vector, dot, product, length", "ka_url": "http://www.khanacademy.org/video/linear-algebra--vector-triangle-inequality", "duration": 1133, "translated_title": "Vector triangle inequality", "translated_description_html": "Proving the triangle inequality for vectors in Rn", "id": "25243", "description_html": "Proving the triangle inequality for vectors in Rn", "title": "Vector triangle inequality", "progress_key": "v25243", "edit_slug": "edit/v/25243", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving the triangle inequality for vectors in Rn", "extra_properties": null, "node_slug": "v/linear-algebra--vector-triangle-inequality", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PsNidCBr5II.mp4/PsNidCBr5II.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PsNidCBr5II.mp4/PsNidCBr5II.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PsNidCBr5II.m3u8/PsNidCBr5II.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PsNidCBr5II&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25243", "sha": "0517e22ba686f1f620ff59c07a5a1593bc2da199", "translated_description": "Proving the triangle inequality for vectors in Rn", "image_url": "https://img.youtube.com/vi/PsNidCBr5II/hqdefault.jpg", "youtube_id": "PsNidCBr5II", "content_kind": "Video", "readable_id": "linear-algebra--vector-triangle-inequality"}, {"translated_youtube_id": "5AWob_z74Ks", "relative_url": "/video/defining-the-angle-between-vectors", "has_questions": false, "keywords": "Linear, Algebra, Vectors, dot, product, angle", "ka_url": "http://www.khanacademy.org/video/defining-the-angle-between-vectors", "duration": 1511, "translated_title": "Defining the angle between vectors", "translated_description_html": "Introducing the idea of an angle between two vectors", "id": "25245", "description_html": "Introducing the idea of an angle between two vectors", "title": "Defining the angle between vectors", "progress_key": "v25245", "edit_slug": "edit/v/25245", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introducing the idea of an angle between two vectors", "extra_properties": null, "node_slug": "v/defining-the-angle-between-vectors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.mp4/5AWob_z74Ks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.mp4/5AWob_z74Ks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.m3u8/5AWob_z74Ks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5AWob_z74Ks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25245", "sha": "21aa8cc5b82cbcd673d6bdc804c25a3380eb56fc", "translated_description": "Introducing the idea of an angle between two vectors", "image_url": "https://img.youtube.com/vi/5AWob_z74Ks/hqdefault.jpg", "youtube_id": "5AWob_z74Ks", "content_kind": "Video", "readable_id": "defining-the-angle-between-vectors"}, {"translated_youtube_id": "UJxgcVaNTqY", "relative_url": "/video/defining-a-plane-in-r3-with-a-point-and-normal-vector", "has_questions": false, "keywords": "normal, plane, dot, product, vector", "ka_url": "http://www.khanacademy.org/video/defining-a-plane-in-r3-with-a-point-and-normal-vector", "duration": 833, "translated_title": "Defining a plane in R3 with a point and normal vector", "translated_description_html": "Determining the equation for a plane in R3 using a point on the plane and a normal vector", "id": "25247", "description_html": "Determining the equation for a plane in R3 using a point on the plane and a normal vector", "title": "Defining a plane in R3 with a point and normal vector", "progress_key": "v25247", "edit_slug": "edit/v/25247", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the equation for a plane in R3 using a point on the plane and a normal vector", "extra_properties": null, "node_slug": "v/defining-a-plane-in-r3-with-a-point-and-normal-vector", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UJxgcVaNTqY.mp4/UJxgcVaNTqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UJxgcVaNTqY.mp4/UJxgcVaNTqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UJxgcVaNTqY.m3u8/UJxgcVaNTqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UJxgcVaNTqY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25247", "sha": "43e4367f918652b677e91e16f3cb405deb972936", "translated_description": "Determining the equation for a plane in R3 using a point on the plane and a normal vector", "image_url": "https://img.youtube.com/vi/UJxgcVaNTqY/hqdefault.jpg", "youtube_id": "UJxgcVaNTqY", "content_kind": "Video", "readable_id": "defining-a-plane-in-r3-with-a-point-and-normal-vector"}, {"translated_youtube_id": "pJzmiywagfY", "relative_url": "/video/linear-algebra--cross-product-introduction", "has_questions": false, "keywords": "Linear, Algebra, Vectors, cross, product", "ka_url": "http://www.khanacademy.org/video/linear-algebra--cross-product-introduction", "duration": 947, "translated_title": "Cross product introduction", "translated_description_html": "Introduction to the cross product", "id": "25249", "description_html": "Introduction to the cross product", "title": "Cross product introduction", "progress_key": "v25249", "edit_slug": "edit/v/25249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the cross product", "extra_properties": null, "node_slug": "v/linear-algebra--cross-product-introduction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pJzmiywagfY.mp4/pJzmiywagfY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pJzmiywagfY.mp4/pJzmiywagfY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pJzmiywagfY.m3u8/pJzmiywagfY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pJzmiywagfY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25249", "sha": "bc1c0abb6027962282e6fa4b9b27b58700c54561", "translated_description": "Introduction to the cross product", "image_url": "https://img.youtube.com/vi/pJzmiywagfY/hqdefault.jpg", "youtube_id": "pJzmiywagfY", "content_kind": "Video", "readable_id": "linear-algebra--cross-product-introduction"}, {"translated_youtube_id": "7MKA2QlKvHc", "relative_url": "/video/proof--relationship-between-cross-product-and-sin-of-angle", "has_questions": false, "keywords": "cross, product, vectors, sin, theta", "ka_url": "http://www.khanacademy.org/video/proof--relationship-between-cross-product-and-sin-of-angle", "duration": 1089, "translated_title": "Proof: Relationship between cross product and sin of angle", "translated_description_html": "Proof: Relationship between the cross product and sin of angle between vectors", "id": "25251", "description_html": "Proof: Relationship between the cross product and sin of angle between vectors", "title": "Proof: Relationship between cross product and sin of angle", "progress_key": "v25251", "edit_slug": "edit/v/25251", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof: Relationship between the cross product and sin of angle between vectors", "extra_properties": null, "node_slug": "v/proof--relationship-between-cross-product-and-sin-of-angle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7MKA2QlKvHc.mp4/7MKA2QlKvHc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7MKA2QlKvHc.mp4/7MKA2QlKvHc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7MKA2QlKvHc.m3u8/7MKA2QlKvHc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7MKA2QlKvHc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25251", "sha": "f90042358e76eca0ed685961a4e05b1f57a395fa", "translated_description": "Proof: Relationship between the cross product and sin of angle between vectors", "image_url": "https://img.youtube.com/vi/7MKA2QlKvHc/hqdefault.jpg", "youtube_id": "7MKA2QlKvHc", "content_kind": "Video", "readable_id": "proof--relationship-between-cross-product-and-sin-of-angle"}, {"translated_youtube_id": "tdwFdzVqito", "relative_url": "/video/dot-and-cross-product-comparison-intuition", "has_questions": false, "keywords": "cross, dot, product", "ka_url": "http://www.khanacademy.org/video/dot-and-cross-product-comparison-intuition", "duration": 1154, "translated_title": "Dot and cross product comparison/intuition", "translated_description_html": "Dot and Cross Product Comparison/Intuition", "id": "25253", "description_html": "Dot and Cross Product Comparison/Intuition", "title": "Dot and cross product comparison/intuition", "progress_key": "v25253", "edit_slug": "edit/v/25253", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dot and Cross Product Comparison/Intuition", "extra_properties": null, "node_slug": "v/dot-and-cross-product-comparison-intuition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tdwFdzVqito.mp4/tdwFdzVqito.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tdwFdzVqito.mp4/tdwFdzVqito.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tdwFdzVqito.m3u8/tdwFdzVqito.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tdwFdzVqito&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25253", "sha": "12bc6a2cd2f03929838132a5b9253a888fbbf73e", "translated_description": "Dot and Cross Product Comparison/Intuition", "image_url": "https://img.youtube.com/vi/tdwFdzVqito/hqdefault.jpg", "youtube_id": "tdwFdzVqito", "content_kind": "Video", "readable_id": "dot-and-cross-product-comparison-intuition"}, {"translated_youtube_id": "b7JTVLc_aMk", "relative_url": "/video/vector-triple-product-expansion--very-optional", "has_questions": false, "keywords": "vector, cross, product, lagrange, expansion, triple", "ka_url": "http://www.khanacademy.org/video/vector-triple-product-expansion--very-optional", "duration": 865, "translated_title": "Vector triple product expansion (very optional)", "translated_description_html": "A shortcut for having to evaluate the cross product of three vectors", "id": "8187461", "description_html": "A shortcut for having to evaluate the cross product of three vectors", "title": "Vector triple product expansion (very optional)", "progress_key": "v8187461", "edit_slug": "edit/v/8187461", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A shortcut for having to evaluate the cross product of three vectors", "extra_properties": null, "node_slug": "v/vector-triple-product-expansion--very-optional", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.mp4/b7JTVLc_aMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.mp4/b7JTVLc_aMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.m3u8/b7JTVLc_aMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b7JTVLc_aMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187461", "sha": "33d30d8dac01d7ee3ed3d31c00d4bfe0eca69a00", "translated_description": "A shortcut for having to evaluate the cross product of three vectors", "image_url": "https://img.youtube.com/vi/b7JTVLc_aMk/hqdefault.jpg", "youtube_id": "b7JTVLc_aMk", "content_kind": "Video", "readable_id": "vector-triple-product-expansion--very-optional"}, {"translated_youtube_id": "gw-4wltP5tY", "relative_url": "/video/normal-vector-from-plane-equation", "has_questions": false, "keywords": "linear, algebra, normal, vector, equation, plane", "ka_url": "http://www.khanacademy.org/video/normal-vector-from-plane-equation", "duration": 598, "translated_title": "Normal vector from plane equation", "translated_description_html": "Figuring out a normal vector to a plane from its equation", "id": "8187465", "description_html": "Figuring out a normal vector to a plane from its equation", "title": "Normal vector from plane equation", "progress_key": "v8187465", "edit_slug": "edit/v/8187465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out a normal vector to a plane from its equation", "extra_properties": null, "node_slug": "v/normal-vector-from-plane-equation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.mp4/gw-4wltP5tY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.mp4/gw-4wltP5tY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.m3u8/gw-4wltP5tY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gw-4wltP5tY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187465", "sha": "0d77b042698541b10ee309229db1692b3c7e0971", "translated_description": "Figuring out a normal vector to a plane from its equation", "image_url": "https://img.youtube.com/vi/gw-4wltP5tY/hqdefault.jpg", "youtube_id": "gw-4wltP5tY", "content_kind": "Video", "readable_id": "normal-vector-from-plane-equation"}, {"translated_youtube_id": "7rIFO8hct9g", "relative_url": "/video/point-distance-to-plane", "has_questions": false, "keywords": "linear, algebra, point, plane, distance, normal, vector", "ka_url": "http://www.khanacademy.org/video/point-distance-to-plane", "duration": 732, "translated_title": "Point distance to plane", "translated_description_html": "Distance between a point and a plane in three dimensions", "id": "8187466", "description_html": "Distance between a point and a plane in three dimensions", "title": "Point distance to plane", "progress_key": "v8187466", "edit_slug": "edit/v/8187466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Distance between a point and a plane in three dimensions", "extra_properties": null, "node_slug": "v/point-distance-to-plane", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.mp4/7rIFO8hct9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.mp4/7rIFO8hct9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.m3u8/7rIFO8hct9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7rIFO8hct9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187466", "sha": "d027440caf851f805eba2f473d77eaf75132637d", "translated_description": "Distance between a point and a plane in three dimensions", "image_url": "https://img.youtube.com/vi/7rIFO8hct9g/hqdefault.jpg", "youtube_id": "7rIFO8hct9g", "content_kind": "Video", "readable_id": "point-distance-to-plane"}, {"translated_youtube_id": "v8plb6V8BQo", "relative_url": "/video/distance-between-planes", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 51, Distance, Between, Planes", "ka_url": "http://www.khanacademy.org/video/distance-between-planes", "duration": 885, "translated_title": "Distance between planes", "translated_description_html": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "id": "8187467", "description_html": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "title": "Distance between planes", "progress_key": "v8187467", "edit_slug": "edit/v/8187467", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "extra_properties": null, "node_slug": "v/distance-between-planes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.mp4/v8plb6V8BQo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.mp4/v8plb6V8BQo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.m3u8/v8plb6V8BQo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v8plb6V8BQo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187467", "sha": "088c48e460607db6e832cf6451cc3dd93d15b5d1", "translated_description": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "image_url": "https://img.youtube.com/vi/v8plb6V8BQo/hqdefault.jpg", "youtube_id": "v8plb6V8BQo", "content_kind": "Video", "readable_id": "distance-between-planes"}], "twitter_url": "", "translated_description": "In this tutorial, we define two ways to \"multiply\" vectors-- the dot product and the cross product. As we progress, we'll get an intuitive feel for their meaning, how they can used and how the two vector products relate to each other.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we define two ways to \"multiply\" vectors-- the dot product and the cross product. As we progress, we'll get an intuitive feel for their meaning, how they can used and how the two vector products relate to each other.", "x_pos": 0.0, "node_slug": "dot_cross_products", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa24ce4a", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/dot_cross_products", "extended_slug": "math/linear-algebra/vectors_and_spaces/dot_cross_products", "slug": "dot_cross_products", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bc8e7dcd3f5c6f47a95c00b3d5cf25d0ca1b469d", "standalone_title": "Vector dot and cross products", "y_pos": 0.0, "current_revision_key": "bc8e7dcd3f5c6f47a95c00b3d5cf25d0ca1b469d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/matrices_elimination", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination", "translated_standalone_title": "Solving systems by elimination", "translated_title": "Matrices for solving systems by elimination", "gplus_url": "", "id": "x1bd580cd", "old_key_name": "yIkq7jPdTSV-GIMMZeNBpOpM5RvdKVmSNxTj2oLU", "hide": false, "title": "Matrices for solving systems by elimination", "child_data": [{"kind": "Video", "id": 25255}, {"kind": "Video", "id": 25257}, {"kind": "Video", "id": 25259}], "children": [{"translated_youtube_id": "L0CmbneYETs", "relative_url": "/video/matrices--reduced-row-echelon-form-1", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-1", "duration": 1063, "translated_title": "Matrices: Reduced row echelon form 1", "translated_description_html": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25255", "description_html": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 1", "progress_key": "v25255", "edit_slug": "edit/v/25255", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-1", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.m3u8/L0CmbneYETs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L0CmbneYETs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25255", "sha": "4d8108a2cca9b2303836de3d1d06dbd244c92c69", "translated_description": "Solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/L0CmbneYETs/hqdefault.jpg", "youtube_id": "L0CmbneYETs", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-1"}, {"translated_youtube_id": "lP1DGtZ8Wys", "relative_url": "/video/matrices--reduced-row-echelon-form-2", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-2", "duration": 457, "translated_title": "Matrices: Reduced row echelon form 2", "translated_description_html": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25257", "description_html": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 2", "progress_key": "v25257", "edit_slug": "edit/v/25257", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-2", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.m3u8/lP1DGtZ8Wys.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lP1DGtZ8Wys&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25257", "sha": "a04159622273289890c69093dab9e9a26c9b1e1d", "translated_description": "Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/lP1DGtZ8Wys/hqdefault.jpg", "youtube_id": "lP1DGtZ8Wys", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-2"}, {"translated_youtube_id": "JVDrlTdzxiI", "relative_url": "/video/matrices--reduced-row-echelon-form-3", "has_questions": false, "keywords": "matrix, augmented, echelon", "ka_url": "http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-3", "duration": 728, "translated_title": "Matrices: Reduced row echelon form 3", "translated_description_html": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "id": "25259", "description_html": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "title": "Matrices: Reduced row echelon form 3", "progress_key": "v25259", "edit_slug": "edit/v/25259", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "extra_properties": null, "node_slug": "v/matrices--reduced-row-echelon-form-3", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:46:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.m3u8/JVDrlTdzxiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVDrlTdzxiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25259", "sha": "fffa22b58b0345bbe67de39d6a15a76607d8bd10", "translated_description": "And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form", "image_url": "https://img.youtube.com/vi/JVDrlTdzxiI/hqdefault.jpg", "youtube_id": "JVDrlTdzxiI", "content_kind": "Video", "readable_id": "matrices--reduced-row-echelon-form-3"}], "twitter_url": "", "translated_description": "This tutorial is a bit of an excursion back to you Algebra II days when you first solved systems of equations (and possibly used matrices to do so). In this tutorial, we did a bit deeper than you may have then, with emphasis on valid row operations and getting a matrix into reduced row echelon form.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is a bit of an excursion back to you Algebra II days when you first solved systems of equations (and possibly used matrices to do so). In this tutorial, we did a bit deeper than you may have then, with emphasis on valid row operations and getting a matrix into reduced row echelon form.", "x_pos": 0.0, "node_slug": "matrices_elimination", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1bd580cd", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/matrices_elimination", "extended_slug": "math/linear-algebra/vectors_and_spaces/matrices_elimination", "slug": "matrices_elimination", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "fafb80e58b01c0a474eb53e3bca3a95a12b12129", "standalone_title": "Solving systems by elimination", "y_pos": 0.0, "current_revision_key": "fafb80e58b01c0a474eb53e3bca3a95a12b12129", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/vectors_and_spaces/null_column_space", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space", "translated_standalone_title": "Null space and column space", "translated_title": "Null space and column space", "gplus_url": "", "id": "xb622e18e", "old_key_name": "74EAbx2kkJGhH23tuz_MdzKRbbb19CZ0zbr954PW", "hide": false, "title": "Null space and column space", "child_data": [{"kind": "Video", "id": 25261}, {"kind": "Video", "id": 25263}, {"kind": "Video", "id": 25265}, {"kind": "Video", "id": 25267}, {"kind": "Video", "id": 25269}, {"kind": "Video", "id": 25271}, {"kind": "Video", "id": 25273}, {"kind": "Video", "id": 25275}, {"kind": "Video", "id": 25277}, {"kind": "Video", "id": 25279}, {"kind": "Video", "id": 25281}, {"kind": "Video", "id": 25283}], "children": [{"translated_youtube_id": "7Mo4S2wyMg4", "relative_url": "/video/matrix-vector-products", "has_questions": false, "keywords": "matrix, vector, product", "ka_url": "http://www.khanacademy.org/video/matrix-vector-products", "duration": 1270, "translated_title": "Matrix vector products", "translated_description_html": "Defining and understanding what it means to take the product of a matrix and a vector", "id": "25261", "description_html": "Defining and understanding what it means to take the product of a matrix and a vector", "title": "Matrix vector products", "progress_key": "v25261", "edit_slug": "edit/v/25261", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Defining and understanding what it means to take the product of a matrix and a vector", "extra_properties": null, "node_slug": "v/matrix-vector-products", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7Mo4S2wyMg4.mp4/7Mo4S2wyMg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7Mo4S2wyMg4.mp4/7Mo4S2wyMg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7Mo4S2wyMg4.m3u8/7Mo4S2wyMg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7Mo4S2wyMg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25261", "sha": "d3256954b193fe9e1994bc070447b11bfc6e751c", "translated_description": "Defining and understanding what it means to take the product of a matrix and a vector", "image_url": "https://img.youtube.com/vi/7Mo4S2wyMg4/hqdefault.jpg", "youtube_id": "7Mo4S2wyMg4", "content_kind": "Video", "readable_id": "matrix-vector-products"}, {"translated_youtube_id": "jCwRV1QL_Xs", "relative_url": "/video/introduction-to-the-null-space-of-a-matrix", "has_questions": false, "keywords": "nullspace, null, space, subspace, matrix, vector", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-null-space-of-a-matrix", "duration": 623, "translated_title": "Introduction to the null space of a matrix", "translated_description_html": "Showing that the Null Space of a Matrix is a valid Subspace", "id": "25263", "description_html": "Showing that the Null Space of a Matrix is a valid Subspace", "title": "Introduction to the null space of a matrix", "progress_key": "v25263", "edit_slug": "edit/v/25263", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the Null Space of a Matrix is a valid Subspace", "extra_properties": null, "node_slug": "v/introduction-to-the-null-space-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jCwRV1QL_Xs.mp4/jCwRV1QL_Xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jCwRV1QL_Xs.mp4/jCwRV1QL_Xs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jCwRV1QL_Xs.m3u8/jCwRV1QL_Xs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jCwRV1QL_Xs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25263", "sha": "1dc44cb41fa8d3f939803d9de7343886b9af012d", "translated_description": "Showing that the Null Space of a Matrix is a valid Subspace", "image_url": "https://img.youtube.com/vi/jCwRV1QL_Xs/hqdefault.jpg", "youtube_id": "jCwRV1QL_Xs", "content_kind": "Video", "readable_id": "introduction-to-the-null-space-of-a-matrix"}, {"translated_youtube_id": "qvyboGryeA8", "relative_url": "/video/null-space-2--calculating-the-null-space-of-a-matrix", "has_questions": false, "keywords": "nullspace, null, space, subspace, matrix, vector", "ka_url": "http://www.khanacademy.org/video/null-space-2--calculating-the-null-space-of-a-matrix", "duration": 787, "translated_title": "Null space 2: Calculating the null space of a matrix", "translated_description_html": "Calculating the null space of a matrix", "id": "25265", "description_html": "Calculating the null space of a matrix", "title": "Null space 2: Calculating the null space of a matrix", "progress_key": "v25265", "edit_slug": "edit/v/25265", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the null space of a matrix", "extra_properties": null, "node_slug": "v/null-space-2--calculating-the-null-space-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qvyboGryeA8.mp4/qvyboGryeA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qvyboGryeA8.mp4/qvyboGryeA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qvyboGryeA8.m3u8/qvyboGryeA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qvyboGryeA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25265", "sha": "e1ded01b81d51b6f88a1be5205c14d82c31b2699", "translated_description": "Calculating the null space of a matrix", "image_url": "https://img.youtube.com/vi/qvyboGryeA8/hqdefault.jpg", "youtube_id": "qvyboGryeA8", "content_kind": "Video", "readable_id": "null-space-2--calculating-the-null-space-of-a-matrix"}, {"translated_youtube_id": "vFctYRhK2M0", "relative_url": "/video/null-space-3--relation-to-linear-independence", "has_questions": false, "keywords": "nullspace, null, space, subspace, matrix, vector", "ka_url": "http://www.khanacademy.org/video/null-space-3--relation-to-linear-independence", "duration": 695, "translated_title": "Null space 3: Relation to linear independence", "translated_description_html": "Understanding how the null space of a matrix relates to the linear independence of its column vectors", "id": "25267", "description_html": "Understanding how the null space of a matrix relates to the linear independence of its column vectors", "title": "Null space 3: Relation to linear independence", "progress_key": "v25267", "edit_slug": "edit/v/25267", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how the null space of a matrix relates to the linear independence of its column vectors", "extra_properties": null, "node_slug": "v/null-space-3--relation-to-linear-independence", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vFctYRhK2M0.mp4/vFctYRhK2M0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vFctYRhK2M0.mp4/vFctYRhK2M0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vFctYRhK2M0.m3u8/vFctYRhK2M0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vFctYRhK2M0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25267", "sha": "16c209e6e71eda3c7ed273e227f2109e01ee0b31", "translated_description": "Understanding how the null space of a matrix relates to the linear independence of its column vectors", "image_url": "https://img.youtube.com/vi/vFctYRhK2M0/hqdefault.jpg", "youtube_id": "vFctYRhK2M0", "content_kind": "Video", "readable_id": "null-space-3--relation-to-linear-independence"}, {"translated_youtube_id": "st6D5OdFV9M", "relative_url": "/video/column-space-of-a-matrix", "has_questions": false, "keywords": "column, space, matrix", "ka_url": "http://www.khanacademy.org/video/column-space-of-a-matrix", "duration": 640, "translated_title": "Column space of a matrix", "translated_description_html": "Introduction to the column space of a matrix", "id": "25269", "description_html": "Introduction to the column space of a matrix", "title": "Column space of a matrix", "progress_key": "v25269", "edit_slug": "edit/v/25269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the column space of a matrix", "extra_properties": null, "node_slug": "v/column-space-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/st6D5OdFV9M.mp4/st6D5OdFV9M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/st6D5OdFV9M.mp4/st6D5OdFV9M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/st6D5OdFV9M.m3u8/st6D5OdFV9M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=st6D5OdFV9M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25269", "sha": "e6039b2a368ec47e0bbfe688d619fd6b1f420f7c", "translated_description": "Introduction to the column space of a matrix", "image_url": "https://img.youtube.com/vi/st6D5OdFV9M/hqdefault.jpg", "youtube_id": "st6D5OdFV9M", "content_kind": "Video", "readable_id": "column-space-of-a-matrix"}, {"translated_youtube_id": "_uTAdf_AsfQ", "relative_url": "/video/null-space-and-column-space-basis", "has_questions": false, "keywords": "null, space, column, matrix, basis", "ka_url": "http://www.khanacademy.org/video/null-space-and-column-space-basis", "duration": 1513, "translated_title": "Null space and column space basis", "translated_description_html": "Figuring out the null space and a basis of a column space for a matrix", "id": "25271", "description_html": "Figuring out the null space and a basis of a column space for a matrix", "title": "Null space and column space basis", "progress_key": "v25271", "edit_slug": "edit/v/25271", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the null space and a basis of a column space for a matrix", "extra_properties": null, "node_slug": "v/null-space-and-column-space-basis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_uTAdf_AsfQ.mp4/_uTAdf_AsfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_uTAdf_AsfQ.mp4/_uTAdf_AsfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_uTAdf_AsfQ.m3u8/_uTAdf_AsfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_uTAdf_AsfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25271", "sha": "a44a8d298efc9df1c72ffb565e656e2f169a3649", "translated_description": "Figuring out the null space and a basis of a column space for a matrix", "image_url": "https://img.youtube.com/vi/_uTAdf_AsfQ/hqdefault.jpg", "youtube_id": "_uTAdf_AsfQ", "content_kind": "Video", "readable_id": "null-space-and-column-space-basis"}, {"translated_youtube_id": "EGNlXtjYABw", "relative_url": "/video/visualizing-a-column-space-as-a-plane-in-r3", "has_questions": false, "keywords": "column, space, matrix, plane, equation", "ka_url": "http://www.khanacademy.org/video/visualizing-a-column-space-as-a-plane-in-r3", "duration": 1271, "translated_title": "Visualizing a column space as a plane in R3", "translated_description_html": "Determining the planar equation for a column space in R3", "id": "25273", "description_html": "Determining the planar equation for a column space in R3", "title": "Visualizing a column space as a plane in R3", "progress_key": "v25273", "edit_slug": "edit/v/25273", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the planar equation for a column space in R3", "extra_properties": null, "node_slug": "v/visualizing-a-column-space-as-a-plane-in-r3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGNlXtjYABw.mp4/EGNlXtjYABw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGNlXtjYABw.mp4/EGNlXtjYABw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EGNlXtjYABw.m3u8/EGNlXtjYABw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EGNlXtjYABw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25273", "sha": "e0efcb89f6d0007dc243f4b014fa751ef915bc90", "translated_description": "Determining the planar equation for a column space in R3", "image_url": "https://img.youtube.com/vi/EGNlXtjYABw/hqdefault.jpg", "youtube_id": "EGNlXtjYABw", "content_kind": "Video", "readable_id": "visualizing-a-column-space-as-a-plane-in-r3"}, {"translated_youtube_id": "Zn2K8UIT8r4", "relative_url": "/video/proof--any-subspace-basis-has-same-number-of-elements", "has_questions": false, "keywords": "basis, subspace, proof, dimension", "ka_url": "http://www.khanacademy.org/video/proof--any-subspace-basis-has-same-number-of-elements", "duration": 1295, "translated_title": "Proof: Any subspace basis has same number of elements", "translated_description_html": "Proof: Any subspace basis has same number of elements", "id": "25275", "description_html": "Proof: Any subspace basis has same number of elements", "title": "Proof: Any subspace basis has same number of elements", "progress_key": "v25275", "edit_slug": "edit/v/25275", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof: Any subspace basis has same number of elements", "extra_properties": null, "node_slug": "v/proof--any-subspace-basis-has-same-number-of-elements", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zn2K8UIT8r4.mp4/Zn2K8UIT8r4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zn2K8UIT8r4.mp4/Zn2K8UIT8r4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zn2K8UIT8r4.m3u8/Zn2K8UIT8r4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zn2K8UIT8r4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25275", "sha": "150bf42ad4d162cfe823ef2b9fda28cc6e83331a", "translated_description": "Proof: Any subspace basis has same number of elements", "image_url": "https://img.youtube.com/vi/Zn2K8UIT8r4/hqdefault.jpg", "youtube_id": "Zn2K8UIT8r4", "content_kind": "Video", "readable_id": "proof--any-subspace-basis-has-same-number-of-elements"}, {"translated_youtube_id": "abYAUqs_n6I", "relative_url": "/video/dimension-of-the-null-space-or-nullity", "has_questions": false, "keywords": "dimension, null, space, nullity", "ka_url": "http://www.khanacademy.org/video/dimension-of-the-null-space-or-nullity", "duration": 839, "translated_title": "Dimension of the null space or nullity", "translated_description_html": "Dimension of the Null Space or Nullity", "id": "25277", "description_html": "Dimension of the Null Space or Nullity", "title": "Dimension of the null space or nullity", "progress_key": "v25277", "edit_slug": "edit/v/25277", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dimension of the Null Space or Nullity", "extra_properties": null, "node_slug": "v/dimension-of-the-null-space-or-nullity", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/abYAUqs_n6I.mp4/abYAUqs_n6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/abYAUqs_n6I.mp4/abYAUqs_n6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/abYAUqs_n6I.m3u8/abYAUqs_n6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=abYAUqs_n6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25277", "sha": "7c45d21855050216726e38084507d437ac517fca", "translated_description": "Dimension of the Null Space or Nullity", "image_url": "https://img.youtube.com/vi/abYAUqs_n6I/hqdefault.jpg", "youtube_id": "abYAUqs_n6I", "content_kind": "Video", "readable_id": "dimension-of-the-null-space-or-nullity"}, {"translated_youtube_id": "JUgrBkPteTg", "relative_url": "/video/dimension-of-the-column-space-or-rank", "has_questions": false, "keywords": "column, space, matrix, dimension, rank", "ka_url": "http://www.khanacademy.org/video/dimension-of-the-column-space-or-rank", "duration": 768, "translated_title": "Dimension of the column space or rank", "translated_description_html": "Dimension of the Column Space or Rank", "id": "25279", "description_html": "Dimension of the Column Space or Rank", "title": "Dimension of the column space or rank", "progress_key": "v25279", "edit_slug": "edit/v/25279", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dimension of the Column Space or Rank", "extra_properties": null, "node_slug": "v/dimension-of-the-column-space-or-rank", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JUgrBkPteTg.mp4/JUgrBkPteTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JUgrBkPteTg.mp4/JUgrBkPteTg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JUgrBkPteTg.m3u8/JUgrBkPteTg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JUgrBkPteTg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25279", "sha": "4673f079b9963dbd1caed064eba27352fe5723ea", "translated_description": "Dimension of the Column Space or Rank", "image_url": "https://img.youtube.com/vi/JUgrBkPteTg/hqdefault.jpg", "youtube_id": "JUgrBkPteTg", "content_kind": "Video", "readable_id": "dimension-of-the-column-space-or-rank"}, {"translated_youtube_id": "BfVjTOjvI30", "relative_url": "/video/showing-relation-between-basis-cols-and-pivot-cols", "has_questions": false, "keywords": "column, space, matrix, dimension, rank", "ka_url": "http://www.khanacademy.org/video/showing-relation-between-basis-cols-and-pivot-cols", "duration": 513, "translated_title": "Showing relation between basis cols and pivot cols", "translated_description_html": "Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation", "id": "25281", "description_html": "Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation", "title": "Showing relation between basis cols and pivot cols", "progress_key": "v25281", "edit_slug": "edit/v/25281", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation", "extra_properties": null, "node_slug": "v/showing-relation-between-basis-cols-and-pivot-cols", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BfVjTOjvI30.mp4/BfVjTOjvI30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BfVjTOjvI30.mp4/BfVjTOjvI30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BfVjTOjvI30.m3u8/BfVjTOjvI30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BfVjTOjvI30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25281", "sha": "75f5b7273e7269e08a1857f3d57141e07959ef0d", "translated_description": "Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation", "image_url": "https://img.youtube.com/vi/BfVjTOjvI30/hqdefault.jpg", "youtube_id": "BfVjTOjvI30", "content_kind": "Video", "readable_id": "showing-relation-between-basis-cols-and-pivot-cols"}, {"translated_youtube_id": "CkQOCnLWPUA", "relative_url": "/video/showing-that-the-candidate-basis-does-span-c-a", "has_questions": false, "keywords": "column, space, matrix, dimension, rank", "ka_url": "http://www.khanacademy.org/video/showing-that-the-candidate-basis-does-span-c-a", "duration": 820, "translated_title": "Showing that the candidate basis does span C(A)", "translated_description_html": "Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).", "id": "25283", "description_html": "Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).", "title": "Showing that the candidate basis does span C(A)", "progress_key": "v25283", "edit_slug": "edit/v/25283", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).", "extra_properties": null, "node_slug": "v/showing-that-the-candidate-basis-does-span-c-a", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CkQOCnLWPUA.mp4/CkQOCnLWPUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CkQOCnLWPUA.mp4/CkQOCnLWPUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CkQOCnLWPUA.m3u8/CkQOCnLWPUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CkQOCnLWPUA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25283", "sha": "55560898f2adcf9a19e26bbb1b2f0c61a4167b70", "translated_description": "Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).", "image_url": "https://img.youtube.com/vi/CkQOCnLWPUA/hqdefault.jpg", "youtube_id": "CkQOCnLWPUA", "content_kind": "Video", "readable_id": "showing-that-the-candidate-basis-does-span-c-a"}], "twitter_url": "", "translated_description": "We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A). We then proceed to think about the linear combinations of the columns of a matrix (column space). Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A). We then proceed to think about the linear combinations of the columns of a matrix (column space). Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.", "x_pos": 0.0, "node_slug": "null_column_space", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb622e18e", "topic_page_url": "/math/linear-algebra/vectors_and_spaces/null_column_space", "extended_slug": "math/linear-algebra/vectors_and_spaces/null_column_space", "slug": "null_column_space", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "04d19016612f61800c66b67a9ca14fd845e815aa", "standalone_title": "Null space and column space", "y_pos": 0.0, "current_revision_key": "04d19016612f61800c66b67a9ca14fd845e815aa", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Let's get our feet wet by thinking in terms of vectors and spaces.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's get our feet wet by thinking in terms of vectors and spaces.", "x_pos": 0.0, "node_slug": "vectors_and_spaces", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5b1b89e0", "topic_page_url": "/math/linear-algebra/vectors_and_spaces", "extended_slug": "math/linear-algebra/vectors_and_spaces", "slug": "vectors_and_spaces", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c6d58d7a31c320059960de034939ed6028009063", "standalone_title": "Vectors and spaces", "y_pos": 0.0, "current_revision_key": "c6d58d7a31c320059960de034939ed6028009063", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations", "translated_standalone_title": "Transformations", "translated_title": "Matrix transformations", "gplus_url": "", "id": "x7a8cfdaa", "old_key_name": "_MF73rZzSZNFQUvsrCT_8cR0-4FLAeeN8RFk1B8W", "hide": false, "title": "Matrix transformations", "child_data": [{"kind": "Topic", "id": "xc9d8c505"}, {"kind": "Topic", "id": "x89bde35b"}, {"kind": "Topic", "id": "x28b69859"}, {"kind": "Topic", "id": "xbbb5e349"}, {"kind": "Topic", "id": "x87f9bf1b"}, {"kind": "Topic", "id": "x2de3e796"}, {"kind": "Topic", "id": "x7bf0f42f"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/linear_transformations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations", "translated_standalone_title": "Functions and linear transformations", "translated_title": "Functions and linear transformations", "gplus_url": "", "id": "xc9d8c505", "old_key_name": "4vQSE7QW0dds1jQ10jvUD9BRWD6IDFhw-5bTURFH", "hide": false, "title": "Functions and linear transformations", "child_data": [{"kind": "Video", "id": 25285}, {"kind": "Video", "id": 25287}, {"kind": "Video", "id": 25289}, {"kind": "Video", "id": 25291}, {"kind": "Video", "id": 25293}, {"kind": "Video", "id": 25295}, {"kind": "Video", "id": 25297}, {"kind": "Video", "id": 25299}, {"kind": "Video", "id": 25301}, {"kind": "Video", "id": 25303}, {"kind": "Video", "id": 25305}], "children": [{"translated_youtube_id": "BQMyeQOLvpg", "relative_url": "/video/a-more-formal-understanding-of-functions", "has_questions": false, "keywords": "functions", "ka_url": "http://www.khanacademy.org/video/a-more-formal-understanding-of-functions", "duration": 961, "translated_title": "A more formal understanding of functions", "translated_description_html": "A more formal understanding of functions", "id": "25285", "description_html": "A more formal understanding of functions", "title": "A more formal understanding of functions", "progress_key": "v25285", "edit_slug": "edit/v/25285", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A more formal understanding of functions", "extra_properties": null, "node_slug": "v/a-more-formal-understanding-of-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.mp4/BQMyeQOLvpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.mp4/BQMyeQOLvpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BQMyeQOLvpg.m3u8/BQMyeQOLvpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BQMyeQOLvpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25285", "sha": "8c05ce551710d03d93c1e3e8c43149b505896856", "translated_description": "A more formal understanding of functions", "image_url": "https://img.youtube.com/vi/BQMyeQOLvpg/hqdefault.jpg", "youtube_id": "BQMyeQOLvpg", "content_kind": "Video", "readable_id": "a-more-formal-understanding-of-functions"}, {"translated_youtube_id": "gAbadNuQEjI", "relative_url": "/video/vector-transformations", "has_questions": false, "keywords": "vector, transformations, linear, algebra", "ka_url": "http://www.khanacademy.org/video/vector-transformations", "duration": 859, "translated_title": "Vector transformations", "translated_description_html": "Introduction to the notion of vector transformations", "id": "25287", "description_html": "Introduction to the notion of vector transformations", "title": "Vector transformations", "progress_key": "v25287", "edit_slug": "edit/v/25287", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the notion of vector transformations", "extra_properties": null, "node_slug": "v/vector-transformations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gAbadNuQEjI.mp4/gAbadNuQEjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gAbadNuQEjI.mp4/gAbadNuQEjI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gAbadNuQEjI.m3u8/gAbadNuQEjI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gAbadNuQEjI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25287", "sha": "6345781196c98ae1c3fbf06a3f0100703ef21353", "translated_description": "Introduction to the notion of vector transformations", "image_url": "https://img.youtube.com/vi/gAbadNuQEjI/hqdefault.jpg", "youtube_id": "gAbadNuQEjI", "content_kind": "Video", "readable_id": "vector-transformations"}, {"translated_youtube_id": "4PCktDZJH8E", "relative_url": "/video/linear-transformations", "has_questions": false, "keywords": "linear, transformation, algebra, matrix", "ka_url": "http://www.khanacademy.org/video/linear-transformations", "duration": 832, "translated_title": "Linear transformations", "translated_description_html": "Introduction to linear transformations", "id": "25289", "description_html": "Introduction to linear transformations", "title": "Linear transformations", "progress_key": "v25289", "edit_slug": "edit/v/25289", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to linear transformations", "extra_properties": null, "node_slug": "v/linear-transformations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PCktDZJH8E.mp4/4PCktDZJH8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PCktDZJH8E.mp4/4PCktDZJH8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PCktDZJH8E.m3u8/4PCktDZJH8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PCktDZJH8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25289", "sha": "49958f49b742b1fc9924ba997babf212b7bb2c85", "translated_description": "Introduction to linear transformations", "image_url": "https://img.youtube.com/vi/4PCktDZJH8E/hqdefault.jpg", "youtube_id": "4PCktDZJH8E", "content_kind": "Video", "readable_id": "linear-transformations"}, {"translated_youtube_id": "ondmopWLiEg", "relative_url": "/video/matrix-vector-products-as-linear-transformations", "has_questions": false, "keywords": "matrix, vector, product, linear, transformation", "ka_url": "http://www.khanacademy.org/video/matrix-vector-products-as-linear-transformations", "duration": 1024, "translated_title": "Matrix vector products as linear transformations", "translated_description_html": "Matrix Vector Products as Linear Transformations", "id": "25291", "description_html": "Matrix Vector Products as Linear Transformations", "title": "Matrix vector products as linear transformations", "progress_key": "v25291", "edit_slug": "edit/v/25291", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Matrix Vector Products as Linear Transformations", "extra_properties": null, "node_slug": "v/matrix-vector-products-as-linear-transformations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ondmopWLiEg.mp4/ondmopWLiEg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ondmopWLiEg.mp4/ondmopWLiEg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ondmopWLiEg.m3u8/ondmopWLiEg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ondmopWLiEg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25291", "sha": "a3610a8fa9e35faed6735bd4aba244886b4ca9d8", "translated_description": "Matrix Vector Products as Linear Transformations", "image_url": "https://img.youtube.com/vi/ondmopWLiEg/hqdefault.jpg", "youtube_id": "ondmopWLiEg", "content_kind": "Video", "readable_id": "matrix-vector-products-as-linear-transformations"}, {"translated_youtube_id": "PErhLkQcpZ8", "relative_url": "/video/linear-transformations-as-matrix-vector-products", "has_questions": false, "keywords": "linear, transformation, algebra, matrix", "ka_url": "http://www.khanacademy.org/video/linear-transformations-as-matrix-vector-products", "duration": 1052, "translated_title": "Linear transformations as matrix vector products", "translated_description_html": "Showing how ANY linear transformation can be represented as a matrix vector product", "id": "25293", "description_html": "Showing how ANY linear transformation can be represented as a matrix vector product", "title": "Linear transformations as matrix vector products", "progress_key": "v25293", "edit_slug": "edit/v/25293", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing how ANY linear transformation can be represented as a matrix vector product", "extra_properties": null, "node_slug": "v/linear-transformations-as-matrix-vector-products", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PErhLkQcpZ8.mp4/PErhLkQcpZ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PErhLkQcpZ8.mp4/PErhLkQcpZ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PErhLkQcpZ8.m3u8/PErhLkQcpZ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PErhLkQcpZ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25293", "sha": "ef37685b517e4dc47133d6729a6a8b4ab30bfd0f", "translated_description": "Showing how ANY linear transformation can be represented as a matrix vector product", "image_url": "https://img.youtube.com/vi/PErhLkQcpZ8/hqdefault.jpg", "youtube_id": "PErhLkQcpZ8", "content_kind": "Video", "readable_id": "linear-transformations-as-matrix-vector-products"}, {"translated_youtube_id": "MIAmN5kgp3k", "relative_url": "/video/image-of-a-subset-under-a-transformation", "has_questions": false, "keywords": "image, transformation", "ka_url": "http://www.khanacademy.org/video/image-of-a-subset-under-a-transformation", "duration": 1091, "translated_title": "Image of a subset under a transformation", "translated_description_html": "Exploring what happens to a subset of the domain under a transformation", "id": "25295", "description_html": "Exploring what happens to a subset of the domain under a transformation", "title": "Image of a subset under a transformation", "progress_key": "v25295", "edit_slug": "edit/v/25295", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring what happens to a subset of the domain under a transformation", "extra_properties": null, "node_slug": "v/image-of-a-subset-under-a-transformation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MIAmN5kgp3k.mp4/MIAmN5kgp3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MIAmN5kgp3k.mp4/MIAmN5kgp3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MIAmN5kgp3k.m3u8/MIAmN5kgp3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MIAmN5kgp3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25295", "sha": "9243086936fa87aece74ff4236940143db66d115", "translated_description": "Exploring what happens to a subset of the domain under a transformation", "image_url": "https://img.youtube.com/vi/MIAmN5kgp3k/hqdefault.jpg", "youtube_id": "MIAmN5kgp3k", "content_kind": "Video", "readable_id": "image-of-a-subset-under-a-transformation"}, {"translated_youtube_id": "hZ827mfh1Jo", "relative_url": "/video/im-t----image-of-a-transformation", "has_questions": false, "keywords": "image, transformation, subspace", "ka_url": "http://www.khanacademy.org/video/im-t----image-of-a-transformation", "duration": 997, "translated_title": "im(T): Image of a transformation", "translated_description_html": "Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation.", "id": "25297", "description_html": "Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation.", "title": "im(T): Image of a transformation", "progress_key": "v25297", "edit_slug": "edit/v/25297", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation.", "extra_properties": null, "node_slug": "v/im-t----image-of-a-transformation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hZ827mfh1Jo.mp4/hZ827mfh1Jo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hZ827mfh1Jo.mp4/hZ827mfh1Jo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hZ827mfh1Jo.m3u8/hZ827mfh1Jo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hZ827mfh1Jo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25297", "sha": "7d641b4c7e47a12a2ed725d0c245777be1dc5427", "translated_description": "Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation.", "image_url": "https://img.youtube.com/vi/hZ827mfh1Jo/hqdefault.jpg", "youtube_id": "hZ827mfh1Jo", "content_kind": "Video", "readable_id": "im-t----image-of-a-transformation"}, {"translated_youtube_id": "zVsGtU8lIWs", "relative_url": "/video/preimage-of-a-set", "has_questions": false, "keywords": "preimage, image, of, set", "ka_url": "http://www.khanacademy.org/video/preimage-of-a-set", "duration": 323, "translated_title": "Preimage of a set", "translated_description_html": "Definition of preimage of a set", "id": "25299", "description_html": "Definition of preimage of a set", "title": "Preimage of a set", "progress_key": "v25299", "edit_slug": "edit/v/25299", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Definition of preimage of a set", "extra_properties": null, "node_slug": "v/preimage-of-a-set", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zVsGtU8lIWs.mp4/zVsGtU8lIWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zVsGtU8lIWs.mp4/zVsGtU8lIWs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zVsGtU8lIWs.m3u8/zVsGtU8lIWs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zVsGtU8lIWs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25299", "sha": "e1e1a6cf282dc489ab11fbe9a0dd651d0549caa3", "translated_description": "Definition of preimage of a set", "image_url": "https://img.youtube.com/vi/zVsGtU8lIWs/hqdefault.jpg", "youtube_id": "zVsGtU8lIWs", "content_kind": "Video", "readable_id": "preimage-of-a-set"}, {"translated_youtube_id": "6yrPU8rYOhs", "relative_url": "/video/preimage-and-kernel-example", "has_questions": false, "keywords": "preimage, kernel", "ka_url": "http://www.khanacademy.org/video/preimage-and-kernel-example", "duration": 923, "translated_title": "Preimage and kernel example", "translated_description_html": "Example involving the preimage of a set under a transformation. Definition of kernel of a transformation.", "id": "25301", "description_html": "Example involving the preimage of a set under a transformation. Definition of kernel of a transformation.", "title": "Preimage and kernel example", "progress_key": "v25301", "edit_slug": "edit/v/25301", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example involving the preimage of a set under a transformation. Definition of kernel of a transformation.", "extra_properties": null, "node_slug": "v/preimage-and-kernel-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6yrPU8rYOhs.mp4/6yrPU8rYOhs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6yrPU8rYOhs.mp4/6yrPU8rYOhs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6yrPU8rYOhs.m3u8/6yrPU8rYOhs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6yrPU8rYOhs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25301", "sha": "fbd70961ec21cd2f9bbccfc5c586fd9c86bd48aa", "translated_description": "Example involving the preimage of a set under a transformation. Definition of kernel of a transformation.", "image_url": "https://img.youtube.com/vi/6yrPU8rYOhs/hqdefault.jpg", "youtube_id": "6yrPU8rYOhs", "content_kind": "Video", "readable_id": "preimage-and-kernel-example"}, {"translated_youtube_id": "wHuY97vss18", "relative_url": "/video/sums-and-scalar-multiples-of-linear-transformations", "has_questions": false, "keywords": "linear, transformation, algebra, matrix", "ka_url": "http://www.khanacademy.org/video/sums-and-scalar-multiples-of-linear-transformations", "duration": 909, "translated_title": "Sums and scalar multiples of linear transformations", "translated_description_html": "Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication.", "id": "25303", "description_html": "Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication.", "title": "Sums and scalar multiples of linear transformations", "progress_key": "v25303", "edit_slug": "edit/v/25303", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication.", "extra_properties": null, "node_slug": "v/sums-and-scalar-multiples-of-linear-transformations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wHuY97vss18.mp4/wHuY97vss18.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wHuY97vss18.mp4/wHuY97vss18.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wHuY97vss18.m3u8/wHuY97vss18.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wHuY97vss18&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25303", "sha": "6459b77d87907efcc3a5ac5af90462a433bdb01d", "translated_description": "Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication.", "image_url": "https://img.youtube.com/vi/wHuY97vss18/hqdefault.jpg", "youtube_id": "wHuY97vss18", "content_kind": "Video", "readable_id": "sums-and-scalar-multiples-of-linear-transformations"}, {"translated_youtube_id": "Z19-ObbmHJE", "relative_url": "/video/more-on-matrix-addition-and-scalar-multiplication", "has_questions": false, "keywords": "matrix, addition, scalar, multiplication", "ka_url": "http://www.khanacademy.org/video/more-on-matrix-addition-and-scalar-multiplication", "duration": 641, "translated_title": "More on matrix addition and scalar multiplication", "translated_description_html": "More on Matrix Addition and Scalar Multiplication", "id": "25305", "description_html": "More on Matrix Addition and Scalar Multiplication", "title": "More on matrix addition and scalar multiplication", "progress_key": "v25305", "edit_slug": "edit/v/25305", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on Matrix Addition and Scalar Multiplication", "extra_properties": null, "node_slug": "v/more-on-matrix-addition-and-scalar-multiplication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z19-ObbmHJE.mp4/Z19-ObbmHJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z19-ObbmHJE.mp4/Z19-ObbmHJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z19-ObbmHJE.m3u8/Z19-ObbmHJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z19-ObbmHJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25305", "sha": "955db04bce3a312c1aff903df5a53dc7ed159c61", "translated_description": "More on Matrix Addition and Scalar Multiplication", "image_url": "https://img.youtube.com/vi/Z19-ObbmHJE/hqdefault.jpg", "youtube_id": "Z19-ObbmHJE", "content_kind": "Video", "readable_id": "more-on-matrix-addition-and-scalar-multiplication"}], "twitter_url": "", "translated_description": "People have been telling you forever that linear algebra and matrices are useful for modeling, simulations and computer graphics, but it has been a little non-obvious. This tutorial will start to draw the lines by re-introducing you functions (a bit more rigor than you may remember from high school) and linear functions/transformations in particular.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "People have been telling you forever that linear algebra and matrices are useful for modeling, simulations and computer graphics, but it has been a little non-obvious. This tutorial will start to draw the lines by re-introducing you functions (a bit more rigor than you may remember from high school) and linear functions/transformations in particular.", "x_pos": 0.0, "node_slug": "linear_transformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc9d8c505", "topic_page_url": "/math/linear-algebra/matrix_transformations/linear_transformations", "extended_slug": "math/linear-algebra/matrix_transformations/linear_transformations", "slug": "linear_transformations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dc529975a1c22540ee7a829a830bf61429a07db8", "standalone_title": "Functions and linear transformations", "y_pos": 0.0, "current_revision_key": "dc529975a1c22540ee7a829a830bf61429a07db8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/lin_trans_examples", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples", "translated_standalone_title": "Linear transformation examples", "translated_title": "Linear transformation examples", "gplus_url": "", "id": "x89bde35b", "old_key_name": "GN8ce0hwBTi8ul1erNBtPaoP0XXfkIxD6PZT69zw", "hide": false, "title": "Linear transformation examples", "child_data": [{"kind": "Video", "id": 25307}, {"kind": "Video", "id": 25309}, {"kind": "Video", "id": 25311}, {"kind": "Video", "id": 25313}, {"kind": "Video", "id": 25315}, {"kind": "Video", "id": 25317}], "children": [{"translated_youtube_id": "qkfODKmZ-x4", "relative_url": "/video/linear-transformation-examples--scaling-and-reflections", "has_questions": false, "keywords": "linear, transformation, matrices", "ka_url": "http://www.khanacademy.org/video/linear-transformation-examples--scaling-and-reflections", "duration": 913, "translated_title": "Linear transformation examples: Scaling and reflections", "translated_description_html": "Creating scaling and reflection transformation matrices (which are diagonal)", "id": "25307", "description_html": "Creating scaling and reflection transformation matrices (which are diagonal)", "title": "Linear transformation examples: Scaling and reflections", "progress_key": "v25307", "edit_slug": "edit/v/25307", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Creating scaling and reflection transformation matrices (which are diagonal)", "extra_properties": null, "node_slug": "v/linear-transformation-examples--scaling-and-reflections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.mp4/qkfODKmZ-x4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.mp4/qkfODKmZ-x4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.m3u8/qkfODKmZ-x4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qkfODKmZ-x4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25307", "sha": "561fdadc92d4d00372917ed612e0dda0d14e6c26", "translated_description": "Creating scaling and reflection transformation matrices (which are diagonal)", "image_url": "https://img.youtube.com/vi/qkfODKmZ-x4/hqdefault.jpg", "youtube_id": "qkfODKmZ-x4", "content_kind": "Video", "readable_id": "linear-transformation-examples--scaling-and-reflections"}, {"translated_youtube_id": "lPWfIq5DzqI", "relative_url": "/video/linear-transformation-examples--rotations-in-r2", "has_questions": false, "keywords": "linear, transformation, matrices", "ka_url": "http://www.khanacademy.org/video/linear-transformation-examples--rotations-in-r2", "duration": 1072, "translated_title": "Linear transformation examples: Rotations in R2", "translated_description_html": "Linear Transformation Examples: Rotations in R2", "id": "25309", "description_html": "Linear Transformation Examples: Rotations in R2", "title": "Linear transformation examples: Rotations in R2", "progress_key": "v25309", "edit_slug": "edit/v/25309", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Linear Transformation Examples: Rotations in R2", "extra_properties": null, "node_slug": "v/linear-transformation-examples--rotations-in-r2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lPWfIq5DzqI.mp4/lPWfIq5DzqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lPWfIq5DzqI.mp4/lPWfIq5DzqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lPWfIq5DzqI.m3u8/lPWfIq5DzqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lPWfIq5DzqI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25309", "sha": "f4742a1cdd3191113a8ec99a0d4d05d5d251459e", "translated_description": "Linear Transformation Examples: Rotations in R2", "image_url": "https://img.youtube.com/vi/lPWfIq5DzqI/hqdefault.jpg", "youtube_id": "lPWfIq5DzqI", "content_kind": "Video", "readable_id": "linear-transformation-examples--rotations-in-r2"}, {"translated_youtube_id": "gkyuLPzfDV0", "relative_url": "/video/rotation-in-r3-around-the-x-axis", "has_questions": false, "keywords": "linear, algebra, rotation, r3, matrix, transformation", "ka_url": "http://www.khanacademy.org/video/rotation-in-r3-around-the-x-axis", "duration": 738, "translated_title": "Rotation in R3 around the x-axis", "translated_description_html": "Construction a rotation transformation in R3", "id": "25311", "description_html": "Construction a rotation transformation in R3", "title": "Rotation in R3 around the x-axis", "progress_key": "v25311", "edit_slug": "edit/v/25311", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Construction a rotation transformation in R3", "extra_properties": null, "node_slug": "v/rotation-in-r3-around-the-x-axis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gkyuLPzfDV0.mp4/gkyuLPzfDV0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gkyuLPzfDV0.mp4/gkyuLPzfDV0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gkyuLPzfDV0.m3u8/gkyuLPzfDV0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gkyuLPzfDV0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25311", "sha": "233f4be0e88da20c3e5037de574ea2a4a7de3e08", "translated_description": "Construction a rotation transformation in R3", "image_url": "https://img.youtube.com/vi/gkyuLPzfDV0/hqdefault.jpg", "youtube_id": "gkyuLPzfDV0", "content_kind": "Video", "readable_id": "rotation-in-r3-around-the-x-axis"}, {"translated_youtube_id": "lQn7fksaDq0", "relative_url": "/video/unit-vectors", "has_questions": false, "keywords": "unit, vectors, length, vector, normalized", "ka_url": "http://www.khanacademy.org/video/unit-vectors", "duration": 419, "translated_title": "Unit vectors", "translated_description_html": "What unit vectors are and how to construct them", "id": "25313", "description_html": "What unit vectors are and how to construct them", "title": "Unit vectors", "progress_key": "v25313", "edit_slug": "edit/v/25313", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What unit vectors are and how to construct them", "extra_properties": null, "node_slug": "v/unit-vectors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lQn7fksaDq0.mp4/lQn7fksaDq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lQn7fksaDq0.mp4/lQn7fksaDq0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lQn7fksaDq0.m3u8/lQn7fksaDq0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lQn7fksaDq0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25313", "sha": "3e301d591ba05d2163966a1b646ccd148fe09a98", "translated_description": "What unit vectors are and how to construct them", "image_url": "https://img.youtube.com/vi/lQn7fksaDq0/hqdefault.jpg", "youtube_id": "lQn7fksaDq0", "content_kind": "Video", "readable_id": "unit-vectors"}, {"translated_youtube_id": "27vT-NWuw0M", "relative_url": "/video/introduction-to-projections", "has_questions": false, "keywords": "projection, vector, line, linear, algebra", "ka_url": "http://www.khanacademy.org/video/introduction-to-projections", "duration": 877, "translated_title": "Introduction to projections", "translated_description_html": "Determining the projection of a vector on s line", "id": "25315", "description_html": "Determining the projection of a vector on s line", "title": "Introduction to projections", "progress_key": "v25315", "edit_slug": "edit/v/25315", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the projection of a vector on s line", "extra_properties": null, "node_slug": "v/introduction-to-projections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/27vT-NWuw0M.mp4/27vT-NWuw0M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/27vT-NWuw0M.mp4/27vT-NWuw0M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/27vT-NWuw0M.m3u8/27vT-NWuw0M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=27vT-NWuw0M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25315", "sha": "b21c9542450d68560901d50baed304d23eccb1db", "translated_description": "Determining the projection of a vector on s line", "image_url": "https://img.youtube.com/vi/27vT-NWuw0M/hqdefault.jpg", "youtube_id": "27vT-NWuw0M", "content_kind": "Video", "readable_id": "introduction-to-projections"}, {"translated_youtube_id": "JK-8XNIoAkI", "relative_url": "/video/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod", "has_questions": false, "keywords": "matrix, vector, projection, linear, transformation", "ka_url": "http://www.khanacademy.org/video/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod", "duration": 1000, "translated_title": "Expressing a projection on to a line as a matrix vector prod", "translated_description_html": "Expressing a Projection on to a line as a Matrix Vector prod", "id": "25317", "description_html": "Expressing a Projection on to a line as a Matrix Vector prod", "title": "Expressing a projection on to a line as a matrix vector prod", "progress_key": "v25317", "edit_slug": "edit/v/25317", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Expressing a Projection on to a line as a Matrix Vector prod", "extra_properties": null, "node_slug": "v/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JK-8XNIoAkI.mp4/JK-8XNIoAkI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JK-8XNIoAkI.mp4/JK-8XNIoAkI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JK-8XNIoAkI.m3u8/JK-8XNIoAkI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JK-8XNIoAkI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25317", "sha": "317ebb66f1a43232e69ab58a60b88d08c74951f1", "translated_description": "Expressing a Projection on to a line as a Matrix Vector prod", "image_url": "https://img.youtube.com/vi/JK-8XNIoAkI/hqdefault.jpg", "youtube_id": "JK-8XNIoAkI", "content_kind": "Video", "readable_id": "expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod"}], "twitter_url": "", "translated_description": "In this tutorial, we do several examples of actually constructing transformation matrices. Very useful if you've got some actual transforming to do (especially scaling, rotating and projecting) ;)", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we do several examples of actually constructing transformation matrices. Very useful if you've got some actual transforming to do (especially scaling, rotating and projecting) ;)", "x_pos": 0.0, "node_slug": "lin_trans_examples", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax89bde35b", "topic_page_url": "/math/linear-algebra/matrix_transformations/lin_trans_examples", "extended_slug": "math/linear-algebra/matrix_transformations/lin_trans_examples", "slug": "lin_trans_examples", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d5558fd29dbd3588814952f3d65788c958e8fa86", "standalone_title": "Linear transformation examples", "y_pos": 0.0, "current_revision_key": "d5558fd29dbd3588814952f3d65788c958e8fa86", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/composition_of_transformations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations", "translated_standalone_title": "Transformations and matrix multiplication", "translated_title": "Transformations and matrix multiplication", "gplus_url": "", "id": "x28b69859", "old_key_name": "-jjqQyLDVkFPIloZaQN2AaxMJSgHHHFKESidfac9", "hide": false, "title": "Transformations and matrix multiplication", "child_data": [{"kind": "Video", "id": 25319}, {"kind": "Video", "id": 25321}, {"kind": "Video", "id": 25323}, {"kind": "Video", "id": 25325}, {"kind": "Video", "id": 25327}], "children": [{"translated_youtube_id": "f_DTiXZpb8M", "relative_url": "/video/compositions-of-linear-transformations-1", "has_questions": false, "keywords": "linear, transformation, compositions", "ka_url": "http://www.khanacademy.org/video/compositions-of-linear-transformations-1", "duration": 741, "translated_title": "Compositions of linear transformations 1", "translated_description_html": "Introduction to compositions of Linear Transformations", "id": "25319", "description_html": "Introduction to compositions of Linear Transformations", "title": "Compositions of linear transformations 1", "progress_key": "v25319", "edit_slug": "edit/v/25319", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to compositions of Linear Transformations", "extra_properties": null, "node_slug": "v/compositions-of-linear-transformations-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f_DTiXZpb8M.mp4/f_DTiXZpb8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f_DTiXZpb8M.mp4/f_DTiXZpb8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f_DTiXZpb8M.m3u8/f_DTiXZpb8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f_DTiXZpb8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25319", "sha": "9503b083036323eb2ba47f066c703f7dcce735a2", "translated_description": "Introduction to compositions of Linear Transformations", "image_url": "https://img.youtube.com/vi/f_DTiXZpb8M/hqdefault.jpg", "youtube_id": "f_DTiXZpb8M", "content_kind": "Video", "readable_id": "compositions-of-linear-transformations-1"}, {"translated_youtube_id": "BuqcKpe5ZQs", "relative_url": "/video/compositions-of-linear-transformations-2", "has_questions": false, "keywords": "matrix, products, composition", "ka_url": "http://www.khanacademy.org/video/compositions-of-linear-transformations-2", "duration": 990, "translated_title": "Compositions of linear transformations 2", "translated_description_html": "Providing the motivation for definition of matrix products", "id": "25321", "description_html": "Providing the motivation for definition of matrix products", "title": "Compositions of linear transformations 2", "progress_key": "v25321", "edit_slug": "edit/v/25321", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Providing the motivation for definition of matrix products", "extra_properties": null, "node_slug": "v/compositions-of-linear-transformations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BuqcKpe5ZQs.mp4/BuqcKpe5ZQs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BuqcKpe5ZQs.mp4/BuqcKpe5ZQs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BuqcKpe5ZQs.m3u8/BuqcKpe5ZQs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BuqcKpe5ZQs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25321", "sha": "b43e5acc54277433400241390c75102d2accf46a", "translated_description": "Providing the motivation for definition of matrix products", "image_url": "https://img.youtube.com/vi/BuqcKpe5ZQs/hqdefault.jpg", "youtube_id": "BuqcKpe5ZQs", "content_kind": "Video", "readable_id": "compositions-of-linear-transformations-2"}, {"translated_youtube_id": "x1z0hOyjapU", "relative_url": "/video/linear-algebra--matrix-product-examples", "has_questions": false, "keywords": "matrix, multiplying, product", "ka_url": "http://www.khanacademy.org/video/linear-algebra--matrix-product-examples", "duration": 1094, "translated_title": "Matrix product examples", "translated_description_html": "Example of taking the product of two matrices", "id": "25323", "description_html": "Example of taking the product of two matrices", "title": "Matrix product examples", "progress_key": "v25323", "edit_slug": "edit/v/25323", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of taking the product of two matrices", "extra_properties": null, "node_slug": "v/linear-algebra--matrix-product-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x1z0hOyjapU.mp4/x1z0hOyjapU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x1z0hOyjapU.mp4/x1z0hOyjapU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x1z0hOyjapU.m3u8/x1z0hOyjapU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x1z0hOyjapU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25323", "sha": "541f0427698b7e7653f63724efab81e79d838c6e", "translated_description": "Example of taking the product of two matrices", "image_url": "https://img.youtube.com/vi/x1z0hOyjapU/hqdefault.jpg", "youtube_id": "x1z0hOyjapU", "content_kind": "Video", "readable_id": "linear-algebra--matrix-product-examples"}, {"translated_youtube_id": "Hhc96U_HvQE", "relative_url": "/video/matrix-product-associativity", "has_questions": false, "keywords": "associate, matrix, products", "ka_url": "http://www.khanacademy.org/video/matrix-product-associativity", "duration": 719, "translated_title": "Matrix product associativity", "translated_description_html": "Showing that matrix products are associative", "id": "25325", "description_html": "Showing that matrix products are associative", "title": "Matrix product associativity", "progress_key": "v25325", "edit_slug": "edit/v/25325", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that matrix products are associative", "extra_properties": null, "node_slug": "v/matrix-product-associativity", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hhc96U_HvQE.mp4/Hhc96U_HvQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hhc96U_HvQE.mp4/Hhc96U_HvQE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hhc96U_HvQE.m3u8/Hhc96U_HvQE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hhc96U_HvQE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25325", "sha": "63a44be04af0f615fb607fdcee4e6c2a96efe352", "translated_description": "Showing that matrix products are associative", "image_url": "https://img.youtube.com/vi/Hhc96U_HvQE/hqdefault.jpg", "youtube_id": "Hhc96U_HvQE", "content_kind": "Video", "readable_id": "matrix-product-associativity"}, {"translated_youtube_id": "oMWTMj78cwc", "relative_url": "/video/distributive-property-of-matrix-products", "has_questions": false, "keywords": "matrix, product, distributive", "ka_url": "http://www.khanacademy.org/video/distributive-property-of-matrix-products", "duration": 592, "translated_title": "Distributive property of matrix products", "translated_description_html": "Showing that matrix products exhibit the distributive property", "id": "25327", "description_html": "Showing that matrix products exhibit the distributive property", "title": "Distributive property of matrix products", "progress_key": "v25327", "edit_slug": "edit/v/25327", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that matrix products exhibit the distributive property", "extra_properties": null, "node_slug": "v/distributive-property-of-matrix-products", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oMWTMj78cwc.mp4/oMWTMj78cwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oMWTMj78cwc.mp4/oMWTMj78cwc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oMWTMj78cwc.m3u8/oMWTMj78cwc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oMWTMj78cwc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25327", "sha": "2c9ab27a1c2dc9ca6806610faa79e99e672d4029", "translated_description": "Showing that matrix products exhibit the distributive property", "image_url": "https://img.youtube.com/vi/oMWTMj78cwc/hqdefault.jpg", "youtube_id": "oMWTMj78cwc", "content_kind": "Video", "readable_id": "distributive-property-of-matrix-products"}], "twitter_url": "", "translated_description": "You probably remember how to multiply matrices from high school, but didn't know why or what it represented. This tutorial will address this. You'll see that multiplying two matrices can be view as the composition of linear transformations.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You probably remember how to multiply matrices from high school, but didn't know why or what it represented. This tutorial will address this. You'll see that multiplying two matrices can be view as the composition of linear transformations.", "x_pos": 0.0, "node_slug": "composition_of_transformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax28b69859", "topic_page_url": "/math/linear-algebra/matrix_transformations/composition_of_transformations", "extended_slug": "math/linear-algebra/matrix_transformations/composition_of_transformations", "slug": "composition_of_transformations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "990b21ea5783dff1710dfdf2ee98a55bbfd36f37", "standalone_title": "Transformations and matrix multiplication", "y_pos": 0.0, "current_revision_key": "990b21ea5783dff1710dfdf2ee98a55bbfd36f37", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/inverse_transformations", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations", "translated_standalone_title": "Inverse functions and transformations", "translated_title": "Inverse functions and transformations", "gplus_url": "", "id": "xbbb5e349", "old_key_name": "q_p70n4iw0K8k902QZPh92S1Dm0rNSuftiATNpMs", "hide": false, "title": "Inverse functions and transformations", "child_data": [{"kind": "Video", "id": 25329}, {"kind": "Video", "id": 25331}, {"kind": "Video", "id": 25333}, {"kind": "Video", "id": 25335}, {"kind": "Video", "id": 25337}, {"kind": "Video", "id": 25339}, {"kind": "Video", "id": 25341}, {"kind": "Video", "id": 25343}, {"kind": "Video", "id": 25345}], "children": [{"translated_youtube_id": "-eAzhBZgq28", "relative_url": "/video/linear-algebra--introduction-to-the-inverse-of-a-function", "has_questions": false, "keywords": "Linear, algebra, function, inverse", "ka_url": "http://www.khanacademy.org/video/linear-algebra--introduction-to-the-inverse-of-a-function", "duration": 1133, "translated_title": "Introduction to the inverse of a function", "translated_description_html": "Introduction to the inverse of a function", "id": "25329", "description_html": "Introduction to the inverse of a function", "title": "Introduction to the inverse of a function", "progress_key": "v25329", "edit_slug": "edit/v/25329", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the inverse of a function", "extra_properties": null, "node_slug": "v/linear-algebra--introduction-to-the-inverse-of-a-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.mp4/-eAzhBZgq28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.mp4/-eAzhBZgq28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-eAzhBZgq28.m3u8/-eAzhBZgq28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-eAzhBZgq28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25329", "sha": "e84d04b2b6794afac6b9f53e6247bb2a25a7c273", "translated_description": "Introduction to the inverse of a function", "image_url": "https://img.youtube.com/vi/-eAzhBZgq28/hqdefault.jpg", "youtube_id": "-eAzhBZgq28", "content_kind": "Video", "readable_id": "linear-algebra--introduction-to-the-inverse-of-a-function"}, {"translated_youtube_id": "7GEUgRcnfVE", "relative_url": "/video/proof--invertibility-implies-a-unique-solution-to-f-x--y", "has_questions": false, "keywords": "invertible, inverse, domain, linear, algebra", "ka_url": "http://www.khanacademy.org/video/proof--invertibility-implies-a-unique-solution-to-f-x--y", "duration": 1361, "translated_title": "Proof: Invertibility implies a unique solution to f(x)=y", "translated_description_html": "Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.", "id": "25331", "description_html": "Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.", "title": "Proof: Invertibility implies a unique solution to f(x)=y", "progress_key": "v25331", "edit_slug": "edit/v/25331", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.", "extra_properties": null, "node_slug": "v/proof--invertibility-implies-a-unique-solution-to-f-x--y", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7GEUgRcnfVE.mp4/7GEUgRcnfVE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7GEUgRcnfVE.mp4/7GEUgRcnfVE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7GEUgRcnfVE.m3u8/7GEUgRcnfVE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7GEUgRcnfVE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25331", "sha": "976c44653664bbc10ca924a1bf7193b52b570eeb", "translated_description": "Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.", "image_url": "https://img.youtube.com/vi/7GEUgRcnfVE/hqdefault.jpg", "youtube_id": "7GEUgRcnfVE", "content_kind": "Video", "readable_id": "proof--invertibility-implies-a-unique-solution-to-f-x--y"}, {"translated_youtube_id": "xKNX8BUWR0g", "relative_url": "/video/surjective--onto--and-injective--one-to-one--functions", "has_questions": false, "keywords": "surjective, onto, injective, one-to-one, functions", "ka_url": "http://www.khanacademy.org/video/surjective--onto--and-injective--one-to-one--functions", "duration": 571, "translated_title": "Surjective (onto) and injective (one-to-one) functions", "translated_description_html": "Introduction to surjective and injective functions", "id": "25333", "description_html": "Introduction to surjective and injective functions", "title": "Surjective (onto) and injective (one-to-one) functions", "progress_key": "v25333", "edit_slug": "edit/v/25333", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to surjective and injective functions", "extra_properties": null, "node_slug": "v/surjective--onto--and-injective--one-to-one--functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xKNX8BUWR0g.mp4/xKNX8BUWR0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xKNX8BUWR0g.mp4/xKNX8BUWR0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xKNX8BUWR0g.m3u8/xKNX8BUWR0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xKNX8BUWR0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25333", "sha": "078c136eb6a35cf7dece97bf65529730f1ae01c6", "translated_description": "Introduction to surjective and injective functions", "image_url": "https://img.youtube.com/vi/xKNX8BUWR0g/hqdefault.jpg", "youtube_id": "xKNX8BUWR0g", "content_kind": "Video", "readable_id": "surjective--onto--and-injective--one-to-one--functions"}, {"translated_youtube_id": "QIU1daMN8fw", "relative_url": "/video/relating-invertibility-to-being-onto-and-one-to-one", "has_questions": false, "keywords": "invertibility, surjective, injective, onto, one-to-one", "ka_url": "http://www.khanacademy.org/video/relating-invertibility-to-being-onto-and-one-to-one", "duration": 391, "translated_title": "Relating invertibility to being onto and one-to-one", "translated_description_html": "Relating invertibility to being onto (surjective) and one-to-one (injective)", "id": "25335", "description_html": "Relating invertibility to being onto (surjective) and one-to-one (injective)", "title": "Relating invertibility to being onto and one-to-one", "progress_key": "v25335", "edit_slug": "edit/v/25335", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Relating invertibility to being onto (surjective) and one-to-one (injective)", "extra_properties": null, "node_slug": "v/relating-invertibility-to-being-onto-and-one-to-one", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QIU1daMN8fw.mp4/QIU1daMN8fw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QIU1daMN8fw.mp4/QIU1daMN8fw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QIU1daMN8fw.m3u8/QIU1daMN8fw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QIU1daMN8fw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25335", "sha": "688978fa6a11154c8d05526eb61868d7e506d1b7", "translated_description": "Relating invertibility to being onto (surjective) and one-to-one (injective)", "image_url": "https://img.youtube.com/vi/QIU1daMN8fw/hqdefault.jpg", "youtube_id": "QIU1daMN8fw", "content_kind": "Video", "readable_id": "relating-invertibility-to-being-onto-and-one-to-one"}, {"translated_youtube_id": "eR8vEdJTvd0", "relative_url": "/video/determining-whether-a-transformation-is-onto", "has_questions": false, "keywords": "onto, surjective, transformation, matrix, invertible", "ka_url": "http://www.khanacademy.org/video/determining-whether-a-transformation-is-onto", "duration": 1551, "translated_title": "Determining whether a transformation is onto", "translated_description_html": "Determining whether a transformation is onto", "id": "25337", "description_html": "Determining whether a transformation is onto", "title": "Determining whether a transformation is onto", "progress_key": "v25337", "edit_slug": "edit/v/25337", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining whether a transformation is onto", "extra_properties": null, "node_slug": "v/determining-whether-a-transformation-is-onto", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eR8vEdJTvd0.mp4/eR8vEdJTvd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eR8vEdJTvd0.mp4/eR8vEdJTvd0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eR8vEdJTvd0.m3u8/eR8vEdJTvd0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eR8vEdJTvd0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25337", "sha": "0eb237b0e0a3c617b13f0ee62adad2db218e1ffe", "translated_description": "Determining whether a transformation is onto", "image_url": "https://img.youtube.com/vi/eR8vEdJTvd0/hqdefault.jpg", "youtube_id": "eR8vEdJTvd0", "content_kind": "Video", "readable_id": "determining-whether-a-transformation-is-onto"}, {"translated_youtube_id": "1PsNIzUJPkc", "relative_url": "/video/linear-algebra--exploring-the-solution-set-of-ax-b", "has_questions": false, "keywords": "nullspace, linear, algebra", "ka_url": "http://www.khanacademy.org/video/linear-algebra--exploring-the-solution-set-of-ax-b", "duration": 994, "translated_title": "Exploring the solution set of Ax = b", "translated_description_html": "Exploring the solution set of Ax=b (non homogeneous equations)", "id": "25339", "description_html": "Exploring the solution set of Ax=b (non homogeneous equations)", "title": "Exploring the solution set of Ax = b", "progress_key": "v25339", "edit_slug": "edit/v/25339", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring the solution set of Ax=b (non homogeneous equations)", "extra_properties": null, "node_slug": "v/linear-algebra--exploring-the-solution-set-of-ax-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1PsNIzUJPkc.mp4/1PsNIzUJPkc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1PsNIzUJPkc.mp4/1PsNIzUJPkc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1PsNIzUJPkc.m3u8/1PsNIzUJPkc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1PsNIzUJPkc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25339", "sha": "2f5fcd9e6eb1a0126a55c9f0f616561acc674b98", "translated_description": "Exploring the solution set of Ax=b (non homogeneous equations)", "image_url": "https://img.youtube.com/vi/1PsNIzUJPkc/hqdefault.jpg", "youtube_id": "1PsNIzUJPkc", "content_kind": "Video", "readable_id": "linear-algebra--exploring-the-solution-set-of-ax-b"}, {"translated_youtube_id": "M3FuL9qKTBs", "relative_url": "/video/linear-algebra--matrix-condition-for-one-to-one-trans", "has_questions": false, "keywords": "rank, one-to-one, injective, transformation", "ka_url": "http://www.khanacademy.org/video/linear-algebra--matrix-condition-for-one-to-one-trans", "duration": 1199, "translated_title": "Matrix condition for one-to-one trans", "translated_description_html": "Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)", "id": "25341", "description_html": "Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)", "title": "Matrix condition for one-to-one trans", "progress_key": "v25341", "edit_slug": "edit/v/25341", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)", "extra_properties": null, "node_slug": "v/linear-algebra--matrix-condition-for-one-to-one-trans", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M3FuL9qKTBs.mp4/M3FuL9qKTBs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M3FuL9qKTBs.mp4/M3FuL9qKTBs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M3FuL9qKTBs.m3u8/M3FuL9qKTBs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M3FuL9qKTBs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25341", "sha": "e925ea51ae0c8f7226238fba1ce08812c6ae1abb", "translated_description": "Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)", "image_url": "https://img.youtube.com/vi/M3FuL9qKTBs/hqdefault.jpg", "youtube_id": "M3FuL9qKTBs", "content_kind": "Video", "readable_id": "linear-algebra--matrix-condition-for-one-to-one-trans"}, {"translated_youtube_id": "Yz2OosyMTmY", "relative_url": "/video/linear-algebra--simplifying-conditions-for-invertibility", "has_questions": false, "keywords": "identity, transformation, invertible", "ka_url": "http://www.khanacademy.org/video/linear-algebra--simplifying-conditions-for-invertibility", "duration": 397, "translated_title": "Simplifying conditions for invertibility", "translated_description_html": "Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix", "id": "25343", "description_html": "Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix", "title": "Simplifying conditions for invertibility", "progress_key": "v25343", "edit_slug": "edit/v/25343", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix", "extra_properties": null, "node_slug": "v/linear-algebra--simplifying-conditions-for-invertibility", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yz2OosyMTmY.mp4/Yz2OosyMTmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yz2OosyMTmY.mp4/Yz2OosyMTmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yz2OosyMTmY.m3u8/Yz2OosyMTmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yz2OosyMTmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25343", "sha": "f74023c5da7c7d709d4e553d0327722f257044f8", "translated_description": "Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix", "image_url": "https://img.youtube.com/vi/Yz2OosyMTmY/hqdefault.jpg", "youtube_id": "Yz2OosyMTmY", "content_kind": "Video", "readable_id": "linear-algebra--simplifying-conditions-for-invertibility"}, {"translated_youtube_id": "mr9Tow8hpCg", "relative_url": "/video/linear-algebra--showing-that-inverses-are-linear", "has_questions": false, "keywords": "inverse, invertibility, linear, transformation", "ka_url": "http://www.khanacademy.org/video/linear-algebra--showing-that-inverses-are-linear", "duration": 1285, "translated_title": "Showing that inverses are linear", "translated_description_html": "Showing that inverse transformations are also linear", "id": "25345", "description_html": "Showing that inverse transformations are also linear", "title": "Showing that inverses are linear", "progress_key": "v25345", "edit_slug": "edit/v/25345", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that inverse transformations are also linear", "extra_properties": null, "node_slug": "v/linear-algebra--showing-that-inverses-are-linear", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mr9Tow8hpCg.mp4/mr9Tow8hpCg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mr9Tow8hpCg.mp4/mr9Tow8hpCg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mr9Tow8hpCg.m3u8/mr9Tow8hpCg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mr9Tow8hpCg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25345", "sha": "dac9b5a2f419df6833599c4b8845fe8d0a29dda0", "translated_description": "Showing that inverse transformations are also linear", "image_url": "https://img.youtube.com/vi/mr9Tow8hpCg/hqdefault.jpg", "youtube_id": "mr9Tow8hpCg", "content_kind": "Video", "readable_id": "linear-algebra--showing-that-inverses-are-linear"}], "twitter_url": "", "translated_description": "You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). \n\nThis tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). \n\nThis tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.", "x_pos": 0.0, "node_slug": "inverse_transformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbbb5e349", "topic_page_url": "/math/linear-algebra/matrix_transformations/inverse_transformations", "extended_slug": "math/linear-algebra/matrix_transformations/inverse_transformations", "slug": "inverse_transformations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c81f93575815647422e31ab6bc3c132db9e17f1d", "standalone_title": "Inverse functions and transformations", "y_pos": 0.0, "current_revision_key": "c81f93575815647422e31ab6bc3c132db9e17f1d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/inverse_of_matrices", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices", "translated_standalone_title": "Finding inverses of matrices", "translated_title": "Finding inverses and determinants", "gplus_url": "", "id": "x87f9bf1b", "old_key_name": "2adfKVK2dTqNbG8_IvgtLxfWJkYkiq83dueYQOWm", "hide": false, "title": "Finding inverses and determinants", "child_data": [{"kind": "Video", "id": 25347}, {"kind": "Video", "id": 25349}, {"kind": "Video", "id": 25351}, {"kind": "Video", "id": 25353}, {"kind": "Video", "id": 25355}, {"kind": "Video", "id": 25357}, {"kind": "Video", "id": 25359}], "children": [{"translated_youtube_id": "6DpzCKJBsz0", "relative_url": "/video/linear-algebra--deriving-a-method-for-determining-inverses", "has_questions": false, "keywords": "matrix, inverse, transformation", "ka_url": "http://www.khanacademy.org/video/linear-algebra--deriving-a-method-for-determining-inverses", "duration": 1080, "translated_title": "Deriving a method for determining inverses", "translated_description_html": "Determining a method for constructing inverse transformation matrices", "id": "25347", "description_html": "Determining a method for constructing inverse transformation matrices", "title": "Deriving a method for determining inverses", "progress_key": "v25347", "edit_slug": "edit/v/25347", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Determining a method for constructing inverse transformation matrices", "extra_properties": null, "node_slug": "v/linear-algebra--deriving-a-method-for-determining-inverses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6DpzCKJBsz0.mp4/6DpzCKJBsz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6DpzCKJBsz0.mp4/6DpzCKJBsz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6DpzCKJBsz0.m3u8/6DpzCKJBsz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6DpzCKJBsz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25347", "sha": "8217cfcfb459978adc638c64c9657324bb82aec7", "translated_description": "Determining a method for constructing inverse transformation matrices", "image_url": "https://img.youtube.com/vi/6DpzCKJBsz0/hqdefault.jpg", "youtube_id": "6DpzCKJBsz0", "content_kind": "Video", "readable_id": "linear-algebra--deriving-a-method-for-determining-inverses"}, {"translated_youtube_id": "r9aTLTN16V4", "relative_url": "/video/linear-algebra--example-of-finding-matrix-inverse", "has_questions": false, "keywords": "matrix, inverse, example", "ka_url": "http://www.khanacademy.org/video/linear-algebra--example-of-finding-matrix-inverse", "duration": 382, "translated_title": "Example of finding matrix inverse", "translated_description_html": "Example of calculating the inverse of a matrix", "id": "25349", "description_html": "Example of calculating the inverse of a matrix", "title": "Example of finding matrix inverse", "progress_key": "v25349", "edit_slug": "edit/v/25349", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Example of calculating the inverse of a matrix", "extra_properties": null, "node_slug": "v/linear-algebra--example-of-finding-matrix-inverse", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r9aTLTN16V4.mp4/r9aTLTN16V4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r9aTLTN16V4.mp4/r9aTLTN16V4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r9aTLTN16V4.m3u8/r9aTLTN16V4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r9aTLTN16V4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25349", "sha": "95df267d2a6af2a16f5d219798f62f2f4e028b64", "translated_description": "Example of calculating the inverse of a matrix", "image_url": "https://img.youtube.com/vi/r9aTLTN16V4/hqdefault.jpg", "youtube_id": "r9aTLTN16V4", "content_kind": "Video", "readable_id": "linear-algebra--example-of-finding-matrix-inverse"}, {"translated_youtube_id": "eEUK_ThrHuQ", "relative_url": "/video/linear-algebra--formula-for-2x2-inverse", "has_questions": false, "keywords": "matrix, inverse, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--formula-for-2x2-inverse", "duration": 1100, "translated_title": "Formula for 2x2 inverse", "translated_description_html": "Figuring out the formula for a 2x2 matrix. Defining the determinant.", "id": "25351", "description_html": "Figuring out the formula for a 2x2 matrix. Defining the determinant.", "title": "Formula for 2x2 inverse", "progress_key": "v25351", "edit_slug": "edit/v/25351", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the formula for a 2x2 matrix. Defining the determinant.", "extra_properties": null, "node_slug": "v/linear-algebra--formula-for-2x2-inverse", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eEUK_ThrHuQ.mp4/eEUK_ThrHuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eEUK_ThrHuQ.mp4/eEUK_ThrHuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eEUK_ThrHuQ.m3u8/eEUK_ThrHuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eEUK_ThrHuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25351", "sha": "db561dc56170b3c3d2ed59f9e2d0e215997be737", "translated_description": "Figuring out the formula for a 2x2 matrix. Defining the determinant.", "image_url": "https://img.youtube.com/vi/eEUK_ThrHuQ/hqdefault.jpg", "youtube_id": "eEUK_ThrHuQ", "content_kind": "Video", "readable_id": "linear-algebra--formula-for-2x2-inverse"}, {"translated_youtube_id": "0c7dt2SQfLw", "relative_url": "/video/linear-algebra--3x3-determinant", "has_questions": false, "keywords": "determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--3x3-determinant", "duration": 601, "translated_title": "3 x 3 determinant", "translated_description_html": "Determinants: Finding the determinant of a 3x3 matrix", "id": "25353", "description_html": "Determinants: Finding the determinant of a 3x3 matrix", "title": "3 x 3 determinant", "progress_key": "v25353", "edit_slug": "edit/v/25353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determinants: Finding the determinant of a 3x3 matrix", "extra_properties": null, "node_slug": "v/linear-algebra--3x3-determinant", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0c7dt2SQfLw.mp4/0c7dt2SQfLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0c7dt2SQfLw.mp4/0c7dt2SQfLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0c7dt2SQfLw.m3u8/0c7dt2SQfLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0c7dt2SQfLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25353", "sha": "3a61d45372e6eb7af9e2b46ab174aee29b1e3217", "translated_description": "Determinants: Finding the determinant of a 3x3 matrix", "image_url": "https://img.youtube.com/vi/0c7dt2SQfLw/hqdefault.jpg", "youtube_id": "0c7dt2SQfLw", "content_kind": "Video", "readable_id": "linear-algebra--3x3-determinant"}, {"translated_youtube_id": "H9BWRYJNIv4", "relative_url": "/video/linear-algebra--nxn-determinant", "has_questions": false, "keywords": "determinant, example", "ka_url": "http://www.khanacademy.org/video/linear-algebra--nxn-determinant", "duration": 1120, "translated_title": "n x n determinant", "translated_description_html": "Defining the determinant for nxn matrices. An exampled of a 4x4 determinant.", "id": "25355", "description_html": "Defining the determinant for nxn matrices. An exampled of a 4x4 determinant.", "title": "n x n determinant", "progress_key": "v25355", "edit_slug": "edit/v/25355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Defining the determinant for nxn matrices. An exampled of a 4x4 determinant.", "extra_properties": null, "node_slug": "v/linear-algebra--nxn-determinant", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H9BWRYJNIv4.mp4/H9BWRYJNIv4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H9BWRYJNIv4.mp4/H9BWRYJNIv4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H9BWRYJNIv4.m3u8/H9BWRYJNIv4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H9BWRYJNIv4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25355", "sha": "f78b64cc96e0e9377c9ce6a5f3956236d4260559", "translated_description": "Defining the determinant for nxn matrices. An exampled of a 4x4 determinant.", "image_url": "https://img.youtube.com/vi/H9BWRYJNIv4/hqdefault.jpg", "youtube_id": "H9BWRYJNIv4", "content_kind": "Video", "readable_id": "linear-algebra--nxn-determinant"}, {"translated_youtube_id": "nu87kfmwNfU", "relative_url": "/video/linear-algebra--determinants-along-other-rows-cols", "has_questions": false, "keywords": "determinant, row, column", "ka_url": "http://www.khanacademy.org/video/linear-algebra--determinants-along-other-rows-cols", "duration": 543, "translated_title": "Determinants along other rows/cols", "translated_description_html": "Finding the determinant by going along other rows or columns", "id": "25357", "description_html": "Finding the determinant by going along other rows or columns", "title": "Determinants along other rows/cols", "progress_key": "v25357", "edit_slug": "edit/v/25357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the determinant by going along other rows or columns", "extra_properties": null, "node_slug": "v/linear-algebra--determinants-along-other-rows-cols", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nu87kfmwNfU.mp4/nu87kfmwNfU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nu87kfmwNfU.mp4/nu87kfmwNfU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nu87kfmwNfU.m3u8/nu87kfmwNfU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nu87kfmwNfU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25357", "sha": "c1dd1a6aae290e04b45bc7441180b9a0028ac624", "translated_description": "Finding the determinant by going along other rows or columns", "image_url": "https://img.youtube.com/vi/nu87kfmwNfU/hqdefault.jpg", "youtube_id": "nu87kfmwNfU", "content_kind": "Video", "readable_id": "linear-algebra--determinants-along-other-rows-cols"}, {"translated_youtube_id": "4xFIi0JF2AM", "relative_url": "/video/linear-algebra--rule-of-sarrus-of-determinants", "has_questions": false, "keywords": "determinant, sarrus", "ka_url": "http://www.khanacademy.org/video/linear-algebra--rule-of-sarrus-of-determinants", "duration": 438, "translated_title": "Rule of Sarrus of determinants", "translated_description_html": "A alternative \"short cut\" for calculating 3x3 determinants (Rule of Sarrus)", "id": "25359", "description_html": "A alternative \"short cut\" for calculating 3x3 determinants (Rule of Sarrus)", "title": "Rule of Sarrus of determinants", "progress_key": "v25359", "edit_slug": "edit/v/25359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A alternative \"short cut\" for calculating 3x3 determinants (Rule of Sarrus)", "extra_properties": null, "node_slug": "v/linear-algebra--rule-of-sarrus-of-determinants", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4xFIi0JF2AM.mp4/4xFIi0JF2AM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4xFIi0JF2AM.mp4/4xFIi0JF2AM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4xFIi0JF2AM.m3u8/4xFIi0JF2AM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4xFIi0JF2AM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25359", "sha": "9b9463821e00f86a08910ae4e4da8be9fa933f91", "translated_description": "A alternative \"short cut\" for calculating 3x3 determinants (Rule of Sarrus)", "image_url": "https://img.youtube.com/vi/4xFIi0JF2AM/hqdefault.jpg", "youtube_id": "4xFIi0JF2AM", "content_kind": "Video", "readable_id": "linear-algebra--rule-of-sarrus-of-determinants"}], "twitter_url": "", "translated_description": "We've talked a lot about inverse transformations abstractly in the last tutorial. Now, we're ready to actually compute inverses. We start from \"documenting\" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix. After this we define a determinant for 2x2, 3x3 and nxn matrices.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We've talked a lot about inverse transformations abstractly in the last tutorial. Now, we're ready to actually compute inverses. We start from \"documenting\" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix. After this we define a determinant for 2x2, 3x3 and nxn matrices.", "x_pos": 0.0, "node_slug": "inverse_of_matrices", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax87f9bf1b", "topic_page_url": "/math/linear-algebra/matrix_transformations/inverse_of_matrices", "extended_slug": "math/linear-algebra/matrix_transformations/inverse_of_matrices", "slug": "inverse_of_matrices", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b758d9f1038ed956b9c6baded4413980a1b06121", "standalone_title": "Finding inverses of matrices", "y_pos": 0.0, "current_revision_key": "b758d9f1038ed956b9c6baded4413980a1b06121", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/determinant_depth", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth", "translated_standalone_title": "More determinant depth", "translated_title": "More determinant depth", "gplus_url": "", "id": "x2de3e796", "old_key_name": "ibWiZzEwmzF9p6dFBkpcXJgDKhRz5CDwDYMbvBRm", "hide": false, "title": "More determinant depth", "child_data": [{"kind": "Video", "id": 25361}, {"kind": "Video", "id": 25363}, {"kind": "Video", "id": 25365}, {"kind": "Video", "id": 25367}, {"kind": "Video", "id": 25369}, {"kind": "Video", "id": 25371}, {"kind": "Video", "id": 25373}, {"kind": "Video", "id": 25375}, {"kind": "Video", "id": 25377}], "children": [{"translated_youtube_id": "32rdijPB-rA", "relative_url": "/video/linear-algebra--determinant-when-row-multiplied-by-scalar", "has_questions": false, "keywords": "determinant, matrix, linear, algebra", "ka_url": "http://www.khanacademy.org/video/linear-algebra--determinant-when-row-multiplied-by-scalar", "duration": 800, "translated_title": "Determinant when row multiplied by scalar", "translated_description_html": "The determinant when a row is multiplied by a scalar", "id": "25361", "description_html": "The determinant when a row is multiplied by a scalar", "title": "Determinant when row multiplied by scalar", "progress_key": "v25361", "edit_slug": "edit/v/25361", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The determinant when a row is multiplied by a scalar", "extra_properties": null, "node_slug": "v/linear-algebra--determinant-when-row-multiplied-by-scalar", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/32rdijPB-rA.mp4/32rdijPB-rA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/32rdijPB-rA.mp4/32rdijPB-rA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/32rdijPB-rA.m3u8/32rdijPB-rA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=32rdijPB-rA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25361", "sha": "2520fa7a20e3d3f284c43c3f99c40ed66494a97e", "translated_description": "The determinant when a row is multiplied by a scalar", "image_url": "https://img.youtube.com/vi/32rdijPB-rA/hqdefault.jpg", "youtube_id": "32rdijPB-rA", "content_kind": "Video", "readable_id": "linear-algebra--determinant-when-row-multiplied-by-scalar"}, {"translated_youtube_id": "WY6QG0mZ7uQ", "relative_url": "/video/linear-algebra---correction--scalar-muliplication-of-row", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra---correction--scalar-muliplication-of-row", "duration": 172, "translated_title": "(correction) scalar multiplication of row", "translated_description_html": "Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant", "id": "25363", "description_html": "Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant", "title": "(correction) scalar multiplication of row", "progress_key": "v25363", "edit_slug": "edit/v/25363", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant", "extra_properties": null, "node_slug": "v/linear-algebra---correction--scalar-muliplication-of-row", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WY6QG0mZ7uQ.mp4/WY6QG0mZ7uQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WY6QG0mZ7uQ.mp4/WY6QG0mZ7uQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WY6QG0mZ7uQ.m3u8/WY6QG0mZ7uQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WY6QG0mZ7uQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25363", "sha": "24855113586f10e85fe5ee7a755c61459ac334fc", "translated_description": "Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant", "image_url": "https://img.youtube.com/vi/WY6QG0mZ7uQ/hqdefault.jpg", "youtube_id": "WY6QG0mZ7uQ", "content_kind": "Video", "readable_id": "linear-algebra---correction--scalar-muliplication-of-row"}, {"translated_youtube_id": "VrB3LaSD_uo", "relative_url": "/video/linear-algebra--determinant-when-row-is-added", "has_questions": false, "keywords": "matrices, linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--determinant-when-row-is-added", "duration": 1015, "translated_title": "Determinant when row is added", "translated_description_html": "The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)", "id": "25365", "description_html": "The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)", "title": "Determinant when row is added", "progress_key": "v25365", "edit_slug": "edit/v/25365", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)", "extra_properties": null, "node_slug": "v/linear-algebra--determinant-when-row-is-added", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrB3LaSD_uo.mp4/VrB3LaSD_uo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VrB3LaSD_uo.mp4/VrB3LaSD_uo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VrB3LaSD_uo.m3u8/VrB3LaSD_uo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VrB3LaSD_uo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25365", "sha": "7ed2da6c95a10e51aa41b97de21df84bda66f9e7", "translated_description": "The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)", "image_url": "https://img.youtube.com/vi/VrB3LaSD_uo/hqdefault.jpg", "youtube_id": "VrB3LaSD_uo", "content_kind": "Video", "readable_id": "linear-algebra--determinant-when-row-is-added"}, {"translated_youtube_id": "gYv8sttBIqs", "relative_url": "/video/linear-algebra--duplicate-row-determinant", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--duplicate-row-determinant", "duration": 499, "translated_title": "Duplicate row determinant", "translated_description_html": "Determinant of a matrix with duplicate rows", "id": "25367", "description_html": "Determinant of a matrix with duplicate rows", "title": "Duplicate row determinant", "progress_key": "v25367", "edit_slug": "edit/v/25367", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determinant of a matrix with duplicate rows", "extra_properties": null, "node_slug": "v/linear-algebra--duplicate-row-determinant", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:46:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gYv8sttBIqs.mp4/gYv8sttBIqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gYv8sttBIqs.mp4/gYv8sttBIqs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gYv8sttBIqs.m3u8/gYv8sttBIqs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gYv8sttBIqs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25367", "sha": "0561d0f90f684e88515112e4597b71a41896e159", "translated_description": "Determinant of a matrix with duplicate rows", "image_url": "https://img.youtube.com/vi/gYv8sttBIqs/hqdefault.jpg", "youtube_id": "gYv8sttBIqs", "content_kind": "Video", "readable_id": "linear-algebra--duplicate-row-determinant"}, {"translated_youtube_id": "kpG7xySkivg", "relative_url": "/video/linear-algebra--determinant-after-row-operations", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--determinant-after-row-operations", "duration": 625, "translated_title": "Determinant after row operations", "translated_description_html": "What happens to the determinant when we perform a row operation", "id": "25369", "description_html": "What happens to the determinant when we perform a row operation", "title": "Determinant after row operations", "progress_key": "v25369", "edit_slug": "edit/v/25369", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens to the determinant when we perform a row operation", "extra_properties": null, "node_slug": "v/linear-algebra--determinant-after-row-operations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpG7xySkivg.mp4/kpG7xySkivg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpG7xySkivg.mp4/kpG7xySkivg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kpG7xySkivg.m3u8/kpG7xySkivg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kpG7xySkivg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25369", "sha": "6fc4ea3a5af5fb0a91af96cf0f7952f7d7e5af8c", "translated_description": "What happens to the determinant when we perform a row operation", "image_url": "https://img.youtube.com/vi/kpG7xySkivg/hqdefault.jpg", "youtube_id": "kpG7xySkivg", "content_kind": "Video", "readable_id": "linear-algebra--determinant-after-row-operations"}, {"translated_youtube_id": "VX7K8iqoiRc", "relative_url": "/video/linear-algebra--upper-triangular-determinant", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--upper-triangular-determinant", "duration": 487, "translated_title": "Upper triangular determinant", "translated_description_html": "The determinant of an upper triangular matrix", "id": "25371", "description_html": "The determinant of an upper triangular matrix", "title": "Upper triangular determinant", "progress_key": "v25371", "edit_slug": "edit/v/25371", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The determinant of an upper triangular matrix", "extra_properties": null, "node_slug": "v/linear-algebra--upper-triangular-determinant", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VX7K8iqoiRc.mp4/VX7K8iqoiRc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VX7K8iqoiRc.mp4/VX7K8iqoiRc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VX7K8iqoiRc.m3u8/VX7K8iqoiRc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VX7K8iqoiRc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25371", "sha": "4c1257c86c7588db386adc3a6f06652e67ffb4a1", "translated_description": "The determinant of an upper triangular matrix", "image_url": "https://img.youtube.com/vi/VX7K8iqoiRc/hqdefault.jpg", "youtube_id": "VX7K8iqoiRc", "content_kind": "Video", "readable_id": "linear-algebra--upper-triangular-determinant"}, {"translated_youtube_id": "QV0jsTiobU4", "relative_url": "/video/linear-algebra--simpler-4x4-determinant", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra--simpler-4x4-determinant", "duration": 553, "translated_title": "Simpler 4x4 determinant", "translated_description_html": "Calculating a 4x4 determinant by putting in in upper triangular form first.", "id": "25373", "description_html": "Calculating a 4x4 determinant by putting in in upper triangular form first.", "title": "Simpler 4x4 determinant", "progress_key": "v25373", "edit_slug": "edit/v/25373", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating a 4x4 determinant by putting in in upper triangular form first.", "extra_properties": null, "node_slug": "v/linear-algebra--simpler-4x4-determinant", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QV0jsTiobU4.mp4/QV0jsTiobU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QV0jsTiobU4.mp4/QV0jsTiobU4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QV0jsTiobU4.m3u8/QV0jsTiobU4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QV0jsTiobU4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25373", "sha": "b6d6ecaa9bd80861af297e516fc8017d172978ad", "translated_description": "Calculating a 4x4 determinant by putting in in upper triangular form first.", "image_url": "https://img.youtube.com/vi/QV0jsTiobU4/hqdefault.jpg", "youtube_id": "QV0jsTiobU4", "content_kind": "Video", "readable_id": "linear-algebra--simpler-4x4-determinant"}, {"translated_youtube_id": "n-S63_goDFg", "relative_url": "/video/linear-algebra---determinant-and-area-of-a-parallelogram", "has_questions": false, "keywords": "linear, algebra, determinant", "ka_url": "http://www.khanacademy.org/video/linear-algebra---determinant-and-area-of-a-parallelogram", "duration": 1297, "translated_title": "Determinant and area of a parallelogram", "translated_description_html": "Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix", "id": "25375", "description_html": "Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix", "title": "Determinant and area of a parallelogram", "progress_key": "v25375", "edit_slug": "edit/v/25375", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix", "extra_properties": null, "node_slug": "v/linear-algebra---determinant-and-area-of-a-parallelogram", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n-S63_goDFg.mp4/n-S63_goDFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n-S63_goDFg.mp4/n-S63_goDFg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n-S63_goDFg.m3u8/n-S63_goDFg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n-S63_goDFg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25375", "sha": "18da95bce4b78b2e2fc0b39e89ff4883694ddd10", "translated_description": "Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix", "image_url": "https://img.youtube.com/vi/n-S63_goDFg/hqdefault.jpg", "youtube_id": "n-S63_goDFg", "content_kind": "Video", "readable_id": "linear-algebra---determinant-and-area-of-a-parallelogram"}, {"translated_youtube_id": "g3MqSdO5Ubc", "relative_url": "/video/linear-algebra--determinant-as-scaling-factor", "has_questions": false, "keywords": "determinant, area, transformation", "ka_url": "http://www.khanacademy.org/video/linear-algebra--determinant-as-scaling-factor", "duration": 1209, "translated_title": "Determinant as scaling factor", "translated_description_html": "Viewing the determinant of the transformation matrix as a scaling factor of regions", "id": "25377", "description_html": "Viewing the determinant of the transformation matrix as a scaling factor of regions", "title": "Determinant as scaling factor", "progress_key": "v25377", "edit_slug": "edit/v/25377", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Viewing the determinant of the transformation matrix as a scaling factor of regions", "extra_properties": null, "node_slug": "v/linear-algebra--determinant-as-scaling-factor", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3MqSdO5Ubc.mp4/g3MqSdO5Ubc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3MqSdO5Ubc.mp4/g3MqSdO5Ubc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g3MqSdO5Ubc.m3u8/g3MqSdO5Ubc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g3MqSdO5Ubc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25377", "sha": "02f3b57900c93f12f488c16bdd7ac2c36fc9a1c1", "translated_description": "Viewing the determinant of the transformation matrix as a scaling factor of regions", "image_url": "https://img.youtube.com/vi/g3MqSdO5Ubc/hqdefault.jpg", "youtube_id": "g3MqSdO5Ubc", "content_kind": "Video", "readable_id": "linear-algebra--determinant-as-scaling-factor"}], "twitter_url": "", "translated_description": "In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them. In this tutorial we go deeper. We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them. In this tutorial we go deeper. We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.", "x_pos": 0.0, "node_slug": "determinant_depth", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2de3e796", "topic_page_url": "/math/linear-algebra/matrix_transformations/determinant_depth", "extended_slug": "math/linear-algebra/matrix_transformations/determinant_depth", "slug": "determinant_depth", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f9175d38f8c69aedbd01e0d73ede0da42287a56e", "standalone_title": "More determinant depth", "y_pos": 0.0, "current_revision_key": "f9175d38f8c69aedbd01e0d73ede0da42287a56e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/matrix_transformations/matrix_transpose", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose", "translated_standalone_title": "Transpose of a matrix", "translated_title": "Transpose of a matrix", "gplus_url": "", "id": "x7bf0f42f", "old_key_name": "5TvHVz6wqBm4e_bvAtKOGHjO-pI2_KNuZ6rRqswB", "hide": false, "title": "Transpose of a matrix", "child_data": [{"kind": "Video", "id": 25379}, {"kind": "Video", "id": 25381}, {"kind": "Video", "id": 178920409}, {"kind": "Video", "id": 25383}, {"kind": "Video", "id": 25385}, {"kind": "Video", "id": 25387}, {"kind": "Video", "id": 25389}, {"kind": "Video", "id": 25393}, {"kind": "Video", "id": 25407}], "children": [{"translated_youtube_id": "2t0003_sxtU", "relative_url": "/video/linear-algebra--transpose-of-a-matrix", "has_questions": false, "keywords": "matrix, transpose", "ka_url": "http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix", "duration": 517, "translated_title": "Transpose of a matrix", "translated_description_html": "Transpose of a matrix", "id": "25379", "description_html": "Transpose of a matrix", "title": "Transpose of a matrix", "progress_key": "v25379", "edit_slug": "edit/v/25379", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Transpose of a matrix", "extra_properties": null, "node_slug": "v/linear-algebra--transpose-of-a-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2t0003_sxtU.mp4/2t0003_sxtU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2t0003_sxtU.mp4/2t0003_sxtU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2t0003_sxtU.m3u8/2t0003_sxtU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2t0003_sxtU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25379", "sha": "f5e4a4179f253c2b097af2454b60a57ff2f4e9b5", "translated_description": "Transpose of a matrix", "image_url": "https://img.youtube.com/vi/2t0003_sxtU/hqdefault.jpg", "youtube_id": "2t0003_sxtU", "content_kind": "Video", "readable_id": "linear-algebra--transpose-of-a-matrix"}, {"translated_youtube_id": "x-GV2v0dRNE", "relative_url": "/video/linear-algebra---determinant-of-transpose", "has_questions": false, "keywords": "transpose, determinant, linear, algebra, matrix", "ka_url": "http://www.khanacademy.org/video/linear-algebra---determinant-of-transpose", "duration": 850, "translated_title": "Determinant of transpose", "translated_description_html": "Proof by induction that transposing a matrix does not change its determinant", "id": "25381", "description_html": "Proof by induction that transposing a matrix does not change its determinant", "title": "Determinant of transpose", "progress_key": "v25381", "edit_slug": "edit/v/25381", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof by induction that transposing a matrix does not change its determinant", "extra_properties": null, "node_slug": "v/linear-algebra---determinant-of-transpose", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x-GV2v0dRNE.mp4/x-GV2v0dRNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x-GV2v0dRNE.mp4/x-GV2v0dRNE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x-GV2v0dRNE.m3u8/x-GV2v0dRNE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x-GV2v0dRNE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25381", "sha": "86276268a771a179a6f70d0e97642643be0a8417", "translated_description": "Proof by induction that transposing a matrix does not change its determinant", "image_url": "https://img.youtube.com/vi/x-GV2v0dRNE/hqdefault.jpg", "youtube_id": "x-GV2v0dRNE", "content_kind": "Video", "readable_id": "linear-algebra---determinant-of-transpose"}, {"translated_youtube_id": "UdHgWK13x5I", "relative_url": "/video/linear-algebra--transpose-of-a-matrix-product", "has_questions": false, "keywords": "transpose, matrix", "ka_url": "http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix-product", "duration": 530, "translated_title": "Transpose of a matrix product", "translated_description_html": "Taking the transpose of the product of two matrices", "id": "178920409", "description_html": "Taking the transpose of the product of two matrices", "title": "Transpose of a matrix product", "progress_key": "v178920409", "edit_slug": "edit/v/178920409", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Taking the transpose of the product of two matrices", "extra_properties": null, "node_slug": "v/linear-algebra--transpose-of-a-matrix-product", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-28T23:27:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UdHgWK13x5I.mp4/UdHgWK13x5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UdHgWK13x5I.mp4/UdHgWK13x5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UdHgWK13x5I.m3u8/UdHgWK13x5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UdHgWK13x5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v178920409", "sha": "959c6074a7afadfee6ced58d3d98c8a7e0eba4d2", "translated_description": "Taking the transpose of the product of two matrices", "image_url": "https://img.youtube.com/vi/UdHgWK13x5I/hqdefault.jpg", "youtube_id": "UdHgWK13x5I", "content_kind": "Video", "readable_id": "linear-algebra--transpose-of-a-matrix-product"}, {"translated_youtube_id": "Br_8t58mdeI", "relative_url": "/video/linear-algebra---transposes-of-sums-and-inverses", "has_questions": false, "keywords": "transpose, sum, inverse", "ka_url": "http://www.khanacademy.org/video/linear-algebra---transposes-of-sums-and-inverses", "duration": 521, "translated_title": "Transposes of sums and inverses", "translated_description_html": "Transposes of sums and inverses", "id": "25383", "description_html": "Transposes of sums and inverses", "title": "Transposes of sums and inverses", "progress_key": "v25383", "edit_slug": "edit/v/25383", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Transposes of sums and inverses", "extra_properties": null, "node_slug": "v/linear-algebra---transposes-of-sums-and-inverses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Br_8t58mdeI.mp4/Br_8t58mdeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Br_8t58mdeI.mp4/Br_8t58mdeI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Br_8t58mdeI.m3u8/Br_8t58mdeI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Br_8t58mdeI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25383", "sha": "fe89c207d51845d53fcbd9804a9e07071137f01e", "translated_description": "Transposes of sums and inverses", "image_url": "https://img.youtube.com/vi/Br_8t58mdeI/hqdefault.jpg", "youtube_id": "Br_8t58mdeI", "content_kind": "Video", "readable_id": "linear-algebra---transposes-of-sums-and-inverses"}, {"translated_youtube_id": "lSoaMCNKfAg", "relative_url": "/video/linear-algebra--transpose-of-a-vector", "has_questions": false, "keywords": "matrix, vector, transpose", "ka_url": "http://www.khanacademy.org/video/linear-algebra--transpose-of-a-vector", "duration": 726, "translated_title": "Transpose of a vector", "translated_description_html": "Transpose of a column vector. Matrix-matrix products using vectors", "id": "25385", "description_html": "Transpose of a column vector. Matrix-matrix products using vectors", "title": "Transpose of a vector", "progress_key": "v25385", "edit_slug": "edit/v/25385", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Transpose of a column vector. Matrix-matrix products using vectors", "extra_properties": null, "node_slug": "v/linear-algebra--transpose-of-a-vector", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lSoaMCNKfAg.mp4/lSoaMCNKfAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lSoaMCNKfAg.mp4/lSoaMCNKfAg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lSoaMCNKfAg.m3u8/lSoaMCNKfAg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lSoaMCNKfAg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25385", "sha": "c8599a14a4dd0a4d9c1bf029b6ba3da3f9e61062", "translated_description": "Transpose of a column vector. Matrix-matrix products using vectors", "image_url": "https://img.youtube.com/vi/lSoaMCNKfAg/hqdefault.jpg", "youtube_id": "lSoaMCNKfAg", "content_kind": "Video", "readable_id": "linear-algebra--transpose-of-a-vector"}, {"translated_youtube_id": "qBfc57x_RSg", "relative_url": "/video/linear-algebra--rowspace-and-left-nullspace", "has_questions": false, "keywords": "rowspace, left, nullspace", "ka_url": "http://www.khanacademy.org/video/linear-algebra--rowspace-and-left-nullspace", "duration": 1398, "translated_title": "Rowspace and left nullspace", "translated_description_html": "Rowspace and Left Nullspace", "id": "25387", "description_html": "Rowspace and Left Nullspace", "title": "Rowspace and left nullspace", "progress_key": "v25387", "edit_slug": "edit/v/25387", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rowspace and Left Nullspace", "extra_properties": null, "node_slug": "v/linear-algebra--rowspace-and-left-nullspace", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qBfc57x_RSg.mp4/qBfc57x_RSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qBfc57x_RSg.mp4/qBfc57x_RSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qBfc57x_RSg.m3u8/qBfc57x_RSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qBfc57x_RSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25387", "sha": "47b944dd1a9b0e79ff36d6994602da0c9dff7d30", "translated_description": "Rowspace and Left Nullspace", "image_url": "https://img.youtube.com/vi/qBfc57x_RSg/hqdefault.jpg", "youtube_id": "qBfc57x_RSg", "content_kind": "Video", "readable_id": "linear-algebra--rowspace-and-left-nullspace"}, {"translated_youtube_id": "GW8ZPjGlk24", "relative_url": "/video/lin-alg--visualizations-of-left-nullspace-and-rowspace", "has_questions": false, "keywords": "rowspace, left, nullspace", "ka_url": "http://www.khanacademy.org/video/lin-alg--visualizations-of-left-nullspace-and-rowspace", "duration": 1190, "translated_title": "Visualizations of left nullspace and rowspace", "translated_description_html": "Relationship between left nullspace, rowspace, column space and nullspace.", "id": "25389", "description_html": "Relationship between left nullspace, rowspace, column space and nullspace.", "title": "Visualizations of left nullspace and rowspace", "progress_key": "v25389", "edit_slug": "edit/v/25389", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Relationship between left nullspace, rowspace, column space and nullspace.", "extra_properties": null, "node_slug": "v/lin-alg--visualizations-of-left-nullspace-and-rowspace", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GW8ZPjGlk24.mp4/GW8ZPjGlk24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GW8ZPjGlk24.mp4/GW8ZPjGlk24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GW8ZPjGlk24.m3u8/GW8ZPjGlk24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GW8ZPjGlk24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25389", "sha": "eac9ad9890fd9c195d2ae98474a6b2ea7a50bc64", "translated_description": "Relationship between left nullspace, rowspace, column space and nullspace.", "image_url": "https://img.youtube.com/vi/GW8ZPjGlk24/hqdefault.jpg", "youtube_id": "GW8ZPjGlk24", "content_kind": "Video", "readable_id": "lin-alg--visualizations-of-left-nullspace-and-rowspace"}, {"translated_youtube_id": "tqqVOWm9YsU", "relative_url": "/video/linear-algebra--rank-a----rank-transpose-of-a", "has_questions": false, "keywords": "rank, transpose", "ka_url": "http://www.khanacademy.org/video/linear-algebra--rank-a----rank-transpose-of-a", "duration": 673, "translated_title": "rank(a) = rank(transpose of a)", "translated_description_html": "Rank(A) = Rank(transpose of A)", "id": "25393", "description_html": "Rank(A) = Rank(transpose of A)", "title": "rank(a) = rank(transpose of a)", "progress_key": "v25393", "edit_slug": "edit/v/25393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rank(A) = Rank(transpose of A)", "extra_properties": null, "node_slug": "v/linear-algebra--rank-a----rank-transpose-of-a", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tqqVOWm9YsU.mp4/tqqVOWm9YsU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tqqVOWm9YsU.mp4/tqqVOWm9YsU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tqqVOWm9YsU.m3u8/tqqVOWm9YsU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tqqVOWm9YsU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25393", "sha": "d72b69efb6cffa4db8f5678d158f3efdcccef141", "translated_description": "Rank(A) = Rank(transpose of A)", "image_url": "https://img.youtube.com/vi/tqqVOWm9YsU/hqdefault.jpg", "youtube_id": "tqqVOWm9YsU", "content_kind": "Video", "readable_id": "linear-algebra--rank-a----rank-transpose-of-a"}, {"translated_youtube_id": "ESSMQH6Y5OA", "relative_url": "/video/lin-alg--showing-that-a-transpose-x-a-is-invertible", "has_questions": false, "keywords": "invertible, transpose", "ka_url": "http://www.khanacademy.org/video/lin-alg--showing-that-a-transpose-x-a-is-invertible", "duration": 754, "translated_title": "Showing that A-transpose x A is invertible", "translated_description_html": "Showing that (transpose of A)(A) is invertible if A has linearly independent columns", "id": "25407", "description_html": "Showing that (transpose of A)(A) is invertible if A has linearly independent columns", "title": "Showing that A-transpose x A is invertible", "progress_key": "v25407", "edit_slug": "edit/v/25407", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that (transpose of A)(A) is invertible if A has linearly independent columns", "extra_properties": null, "node_slug": "v/lin-alg--showing-that-a-transpose-x-a-is-invertible", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ESSMQH6Y5OA.mp4/ESSMQH6Y5OA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ESSMQH6Y5OA.mp4/ESSMQH6Y5OA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ESSMQH6Y5OA.m3u8/ESSMQH6Y5OA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ESSMQH6Y5OA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25407", "sha": "f8ed59ccfedcd574809e4fcd6620b4eaede6df4a", "translated_description": "Showing that (transpose of A)(A) is invertible if A has linearly independent columns", "image_url": "https://img.youtube.com/vi/ESSMQH6Y5OA/hqdefault.jpg", "youtube_id": "ESSMQH6Y5OA", "content_kind": "Video", "readable_id": "lin-alg--showing-that-a-transpose-x-a-is-invertible"}], "twitter_url": "", "translated_description": "We now explore what happens when you switch the rows and columns of a matrix!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We now explore what happens when you switch the rows and columns of a matrix!", "x_pos": 0.0, "node_slug": "matrix_transpose", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7bf0f42f", "topic_page_url": "/math/linear-algebra/matrix_transformations/matrix_transpose", "extended_slug": "math/linear-algebra/matrix_transformations/matrix_transpose", "slug": "matrix_transpose", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4d7dd411719a9a120b088894df4712ab52c28958", "standalone_title": "Transpose of a matrix", "y_pos": 0.0, "current_revision_key": "4d7dd411719a9a120b088894df4712ab52c28958", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations.", "x_pos": 0.0, "node_slug": "matrix_transformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7a8cfdaa", "topic_page_url": "/math/linear-algebra/matrix_transformations", "extended_slug": "math/linear-algebra/matrix_transformations", "slug": "matrix_transformations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3b8a4800870bc642206d99dabc735a8f222185aa", "standalone_title": "Transformations", "y_pos": 0.0, "current_revision_key": "3b8a4800870bc642206d99dabc735a8f222185aa", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases", "translated_standalone_title": "Alternate coordinate systems (bases)", "translated_title": "Alternate coordinate systems (bases)", "gplus_url": "", "id": "xa2a6b742", "old_key_name": "OLyc1Mr06hKANY4JRv2b28zsZUWUm3eY7fiBIPCP", "hide": false, "title": "Alternate coordinate systems (bases)", "child_data": [{"kind": "Topic", "id": "x3826be61"}, {"kind": "Topic", "id": "xd6d11862"}, {"kind": "Topic", "id": "x476be17b"}, {"kind": "Topic", "id": "xf34f42a2"}, {"kind": "Topic", "id": "xbbab9c7d"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases/othogonal_complements", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements", "translated_standalone_title": "Orthogonal complements", "translated_title": "Orthogonal complements", "gplus_url": "", "id": "x3826be61", "old_key_name": "8cWU-z68CTq9bOezuhU7sS-JUG8Ten9H-q-Z8Nrd", "hide": false, "title": "Orthogonal complements", "child_data": [{"kind": "Video", "id": 25391}, {"kind": "Video", "id": 25395}, {"kind": "Video", "id": 25397}, {"kind": "Video", "id": 25399}, {"kind": "Video", "id": 25401}, {"kind": "Video", "id": 25403}, {"kind": "Video", "id": 25405}], "children": [{"translated_youtube_id": "QOTjdgmNqlg", "relative_url": "/video/linear-algebra--orthogonal-complements", "has_questions": false, "keywords": "orthogonal, complement", "ka_url": "http://www.khanacademy.org/video/linear-algebra--orthogonal-complements", "duration": 1328, "translated_title": "Orthogonal complements", "translated_description_html": "Orthogonal Complements as subspaces.", "id": "25391", "description_html": "Orthogonal Complements as subspaces.", "title": "Orthogonal complements", "progress_key": "v25391", "edit_slug": "edit/v/25391", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Orthogonal Complements as subspaces.", "extra_properties": null, "node_slug": "v/linear-algebra--orthogonal-complements", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOTjdgmNqlg.mp4/QOTjdgmNqlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOTjdgmNqlg.mp4/QOTjdgmNqlg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QOTjdgmNqlg.m3u8/QOTjdgmNqlg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QOTjdgmNqlg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25391", "sha": "48eae68b0de9bd37ad4610311cf6609d4d7c482d", "translated_description": "Orthogonal Complements as subspaces.", "image_url": "https://img.youtube.com/vi/QOTjdgmNqlg/hqdefault.jpg", "youtube_id": "QOTjdgmNqlg", "content_kind": "Video", "readable_id": "linear-algebra--orthogonal-complements"}, {"translated_youtube_id": "pGhBfkBqok0", "relative_url": "/video/linear-algebra--dim-v----dim-orthogonal-complement-of-v--n", "has_questions": false, "keywords": "orthogonal, complement, dimension, dim", "ka_url": "http://www.khanacademy.org/video/linear-algebra--dim-v----dim-orthogonal-complement-of-v--n", "duration": 567, "translated_title": "dim(v) + dim(orthogonal complement of v) = n", "translated_description_html": "Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n", "id": "25395", "description_html": "Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n", "title": "dim(v) + dim(orthogonal complement of v) = n", "progress_key": "v25395", "edit_slug": "edit/v/25395", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n", "extra_properties": null, "node_slug": "v/linear-algebra--dim-v----dim-orthogonal-complement-of-v--n", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:46:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pGhBfkBqok0.mp4/pGhBfkBqok0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pGhBfkBqok0.mp4/pGhBfkBqok0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pGhBfkBqok0.m3u8/pGhBfkBqok0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pGhBfkBqok0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25395", "sha": "a3d809bd99dc8b5fca854753e56d69bab18adc9c", "translated_description": "Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n", "image_url": "https://img.youtube.com/vi/pGhBfkBqok0/hqdefault.jpg", "youtube_id": "pGhBfkBqok0", "content_kind": "Video", "readable_id": "linear-algebra--dim-v----dim-orthogonal-complement-of-v--n"}, {"translated_youtube_id": "M6lFqkqvUgo", "relative_url": "/video/lin-alg--representing-vectors-in-rn-using-subspace-members", "has_questions": false, "keywords": "linear, algebra, orthogonal, complement", "ka_url": "http://www.khanacademy.org/video/lin-alg--representing-vectors-in-rn-using-subspace-members", "duration": 1620, "translated_title": "Representing vectors in rn using subspace members", "translated_description_html": "Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.", "id": "25397", "description_html": "Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.", "title": "Representing vectors in rn using subspace members", "progress_key": "v25397", "edit_slug": "edit/v/25397", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.", "extra_properties": null, "node_slug": "v/lin-alg--representing-vectors-in-rn-using-subspace-members", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M6lFqkqvUgo.mp4/M6lFqkqvUgo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M6lFqkqvUgo.mp4/M6lFqkqvUgo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M6lFqkqvUgo.m3u8/M6lFqkqvUgo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M6lFqkqvUgo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25397", "sha": "80bc6600821e60f1398b9e2ea5f9a7e6acad2c36", "translated_description": "Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.", "image_url": "https://img.youtube.com/vi/M6lFqkqvUgo/hqdefault.jpg", "youtube_id": "M6lFqkqvUgo", "content_kind": "Video", "readable_id": "lin-alg--representing-vectors-in-rn-using-subspace-members"}, {"translated_youtube_id": "zlI8mx8Hc8o", "relative_url": "/video/lin-alg---orthogonal-complement-of-the-orthogonal-complement", "has_questions": false, "keywords": "subspace, orthogonal, complement", "ka_url": "http://www.khanacademy.org/video/lin-alg---orthogonal-complement-of-the-orthogonal-complement", "duration": 738, "translated_title": "Orthogonal complement of the orthogonal complement", "translated_description_html": "Finding that the orthogonal complement of the orthogonal complement of V is V", "id": "25399", "description_html": "Finding that the orthogonal complement of the orthogonal complement of V is V", "title": "Orthogonal complement of the orthogonal complement", "progress_key": "v25399", "edit_slug": "edit/v/25399", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding that the orthogonal complement of the orthogonal complement of V is V", "extra_properties": null, "node_slug": "v/lin-alg---orthogonal-complement-of-the-orthogonal-complement", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zlI8mx8Hc8o.mp4/zlI8mx8Hc8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zlI8mx8Hc8o.mp4/zlI8mx8Hc8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zlI8mx8Hc8o.m3u8/zlI8mx8Hc8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zlI8mx8Hc8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25399", "sha": "240d446af340c0610440ffeec59a9f8c88953ea4", "translated_description": "Finding that the orthogonal complement of the orthogonal complement of V is V", "image_url": "https://img.youtube.com/vi/zlI8mx8Hc8o/hqdefault.jpg", "youtube_id": "zlI8mx8Hc8o", "content_kind": "Video", "readable_id": "lin-alg---orthogonal-complement-of-the-orthogonal-complement"}, {"translated_youtube_id": "LE_aQAur7nI", "relative_url": "/video/lin-alg--orthogonal-complement-of-the-nullspace", "has_questions": false, "keywords": "orthogonal, complement", "ka_url": "http://www.khanacademy.org/video/lin-alg--orthogonal-complement-of-the-nullspace", "duration": 207, "translated_title": "Orthogonal complement of the nullspace", "translated_description_html": "The orthogonal complement of the nullspace and left nullspace.", "id": "25401", "description_html": "The orthogonal complement of the nullspace and left nullspace.", "title": "Orthogonal complement of the nullspace", "progress_key": "v25401", "edit_slug": "edit/v/25401", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The orthogonal complement of the nullspace and left nullspace.", "extra_properties": null, "node_slug": "v/lin-alg--orthogonal-complement-of-the-nullspace", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LE_aQAur7nI.mp4/LE_aQAur7nI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LE_aQAur7nI.mp4/LE_aQAur7nI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LE_aQAur7nI.m3u8/LE_aQAur7nI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LE_aQAur7nI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25401", "sha": "29747a4b3d1485edf7cf071b5e75d6a0eeda1dee", "translated_description": "The orthogonal complement of the nullspace and left nullspace.", "image_url": "https://img.youtube.com/vi/LE_aQAur7nI/hqdefault.jpg", "youtube_id": "LE_aQAur7nI", "content_kind": "Video", "readable_id": "lin-alg--orthogonal-complement-of-the-nullspace"}, {"translated_youtube_id": "czIYvs9zj2g", "relative_url": "/video/lin-alg--unique-rowspace-solution-to-ax-b", "has_questions": false, "keywords": "rowspace, columnspace, solution, Ax=b", "ka_url": "http://www.khanacademy.org/video/lin-alg--unique-rowspace-solution-to-ax-b", "duration": 1152, "translated_title": "Unique rowspace solution to Ax = b", "translated_description_html": "Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the \"smallest\" solution to Ax=b", "id": "25403", "description_html": "Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the \"smallest\" solution to Ax=b", "title": "Unique rowspace solution to Ax = b", "progress_key": "v25403", "edit_slug": "edit/v/25403", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the \"smallest\" solution to Ax=b", "extra_properties": null, "node_slug": "v/lin-alg--unique-rowspace-solution-to-ax-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/czIYvs9zj2g.mp4/czIYvs9zj2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/czIYvs9zj2g.mp4/czIYvs9zj2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/czIYvs9zj2g.m3u8/czIYvs9zj2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=czIYvs9zj2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25403", "sha": "8457d53e46cbc5df9e29c1ed35e33368315a6b65", "translated_description": "Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the \"smallest\" solution to Ax=b", "image_url": "https://img.youtube.com/vi/czIYvs9zj2g/hqdefault.jpg", "youtube_id": "czIYvs9zj2g", "content_kind": "Video", "readable_id": "lin-alg--unique-rowspace-solution-to-ax-b"}, {"translated_youtube_id": "qdf2CuMGdKs", "relative_url": "/video/linear-alg--rowspace-solution-to-ax-b-example", "has_questions": false, "keywords": "rowspace, columnspace, solution", "ka_url": "http://www.khanacademy.org/video/linear-alg--rowspace-solution-to-ax-b-example", "duration": 1178, "translated_title": "Rowspace solution to Ax = b example", "translated_description_html": "Visualizing the rowspace solution to Ax=b", "id": "25405", "description_html": "Visualizing the rowspace solution to Ax=b", "title": "Rowspace solution to Ax = b example", "progress_key": "v25405", "edit_slug": "edit/v/25405", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing the rowspace solution to Ax=b", "extra_properties": null, "node_slug": "v/linear-alg--rowspace-solution-to-ax-b-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qdf2CuMGdKs.mp4/qdf2CuMGdKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qdf2CuMGdKs.mp4/qdf2CuMGdKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qdf2CuMGdKs.m3u8/qdf2CuMGdKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qdf2CuMGdKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25405", "sha": "dd016a4b99ea5ae6150cd0026c8fd9db78b1f603", "translated_description": "Visualizing the rowspace solution to Ax=b", "image_url": "https://img.youtube.com/vi/qdf2CuMGdKs/hqdefault.jpg", "youtube_id": "qdf2CuMGdKs", "content_kind": "Video", "readable_id": "linear-alg--rowspace-solution-to-ax-b-example"}], "twitter_url": "", "translated_description": "We will know explore the set of vectors that is orthogonal to every vector in a second set (this is the second set's orthogonal complement).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We will know explore the set of vectors that is orthogonal to every vector in a second set (this is the second set's orthogonal complement).", "x_pos": 0.0, "node_slug": "othogonal_complements", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3826be61", "topic_page_url": "/math/linear-algebra/alternate_bases/othogonal_complements", "extended_slug": "math/linear-algebra/alternate_bases/othogonal_complements", "slug": "othogonal_complements", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "656e282b1b6deb415e2374a062c387ec3640e4c4", "standalone_title": "Orthogonal complements", "y_pos": 0.0, "current_revision_key": "656e282b1b6deb415e2374a062c387ec3640e4c4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases/orthogonal_projections", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections", "translated_standalone_title": "Orthogonal projections", "translated_title": "Orthogonal projections", "gplus_url": "", "id": "xd6d11862", "old_key_name": "MzEngdlvEzz9ybBf9AbIM_A_60Pr5rhSgdFevsIU", "hide": false, "title": "Orthogonal projections", "child_data": [{"kind": "Video", "id": 25409}, {"kind": "Video", "id": 25411}, {"kind": "Video", "id": 25413}, {"kind": "Video", "id": 25415}, {"kind": "Video", "id": 25417}, {"kind": "Video", "id": 25419}, {"kind": "Video", "id": 25421}, {"kind": "Video", "id": 25423}, {"kind": "Video", "id": 25425}], "children": [{"translated_youtube_id": "5B8XluiqdHM", "relative_url": "/video/linear-algebra--projections-onto-subspaces", "has_questions": false, "keywords": "subspace, projection", "ka_url": "http://www.khanacademy.org/video/linear-algebra--projections-onto-subspaces", "duration": 1046, "translated_title": "Projections onto subspaces", "translated_description_html": "Projections onto subspaces", "id": "25409", "description_html": "Projections onto subspaces", "title": "Projections onto subspaces", "progress_key": "v25409", "edit_slug": "edit/v/25409", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Projections onto subspaces", "extra_properties": null, "node_slug": "v/linear-algebra--projections-onto-subspaces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5B8XluiqdHM.mp4/5B8XluiqdHM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5B8XluiqdHM.mp4/5B8XluiqdHM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5B8XluiqdHM.m3u8/5B8XluiqdHM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5B8XluiqdHM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25409", "sha": "2b4812a56a50d0c1ebf6ec8537f2e8b7ee92b4a4", "translated_description": "Projections onto subspaces", "image_url": "https://img.youtube.com/vi/5B8XluiqdHM/hqdefault.jpg", "youtube_id": "5B8XluiqdHM", "content_kind": "Video", "readable_id": "linear-algebra--projections-onto-subspaces"}, {"translated_youtube_id": "uWbZlJURkfA", "relative_url": "/video/linear-alg--visualizing-a-projection-onto-a-plane", "has_questions": false, "keywords": "projection, subspace", "ka_url": "http://www.khanacademy.org/video/linear-alg--visualizing-a-projection-onto-a-plane", "duration": 568, "translated_title": "Visualizing a projection onto a plane", "translated_description_html": "Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different.", "id": "25411", "description_html": "Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different.", "title": "Visualizing a projection onto a plane", "progress_key": "v25411", "edit_slug": "edit/v/25411", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different.", "extra_properties": null, "node_slug": "v/linear-alg--visualizing-a-projection-onto-a-plane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uWbZlJURkfA.mp4/uWbZlJURkfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uWbZlJURkfA.mp4/uWbZlJURkfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uWbZlJURkfA.m3u8/uWbZlJURkfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uWbZlJURkfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25411", "sha": "fef3b75e5bdf2b690c4c3aaf18e897cf6c70d1ff", "translated_description": "Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different.", "image_url": "https://img.youtube.com/vi/uWbZlJURkfA/hqdefault.jpg", "youtube_id": "uWbZlJURkfA", "content_kind": "Video", "readable_id": "linear-alg--visualizing-a-projection-onto-a-plane"}, {"translated_youtube_id": "cTyNpXB92bQ", "relative_url": "/video/lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma", "has_questions": false, "keywords": "subspace, linear, transformation", "ka_url": "http://www.khanacademy.org/video/lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma", "duration": 975, "translated_title": "A projection onto a subspace is a linear transformation", "translated_description_html": "Showing that a projection onto a subspace is a linear transformation", "id": "25413", "description_html": "Showing that a projection onto a subspace is a linear transformation", "title": "A projection onto a subspace is a linear transformation", "progress_key": "v25413", "edit_slug": "edit/v/25413", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that a projection onto a subspace is a linear transformation", "extra_properties": null, "node_slug": "v/lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cTyNpXB92bQ.mp4/cTyNpXB92bQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cTyNpXB92bQ.mp4/cTyNpXB92bQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cTyNpXB92bQ.m3u8/cTyNpXB92bQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cTyNpXB92bQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25413", "sha": "032c1955d5bcf442af5badcaeff31272ebda5af9", "translated_description": "Showing that a projection onto a subspace is a linear transformation", "image_url": "https://img.youtube.com/vi/cTyNpXB92bQ/hqdefault.jpg", "youtube_id": "cTyNpXB92bQ", "content_kind": "Video", "readable_id": "lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma"}, {"translated_youtube_id": "QTcSBB3uVP0", "relative_url": "/video/linear-algebra--subspace-projection-matrix-example", "has_questions": false, "keywords": "subspace, projection", "ka_url": "http://www.khanacademy.org/video/linear-algebra--subspace-projection-matrix-example", "duration": 784, "translated_title": "Subspace projection matrix example", "translated_description_html": "Example of a transformation matrix for a projection onto a subspace", "id": "25415", "description_html": "Example of a transformation matrix for a projection onto a subspace", "title": "Subspace projection matrix example", "progress_key": "v25415", "edit_slug": "edit/v/25415", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of a transformation matrix for a projection onto a subspace", "extra_properties": null, "node_slug": "v/linear-algebra--subspace-projection-matrix-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QTcSBB3uVP0.mp4/QTcSBB3uVP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QTcSBB3uVP0.mp4/QTcSBB3uVP0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QTcSBB3uVP0.m3u8/QTcSBB3uVP0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QTcSBB3uVP0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25415", "sha": "c470e14d66b6048a78fd7aa7d63464c291350606", "translated_description": "Example of a transformation matrix for a projection onto a subspace", "image_url": "https://img.youtube.com/vi/QTcSBB3uVP0/hqdefault.jpg", "youtube_id": "QTcSBB3uVP0", "content_kind": "Video", "readable_id": "linear-algebra--subspace-projection-matrix-example"}, {"translated_youtube_id": "XhCSHu6dHb8", "relative_url": "/video/lin-alg--another-example-of-a-projection-matrix", "has_questions": false, "keywords": "projection, subspace", "ka_url": "http://www.khanacademy.org/video/lin-alg--another-example-of-a-projection-matrix", "duration": 1295, "translated_title": "Another example of a projection matrix", "translated_description_html": "Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first", "id": "25417", "description_html": "Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first", "title": "Another example of a projection matrix", "progress_key": "v25417", "edit_slug": "edit/v/25417", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first", "extra_properties": null, "node_slug": "v/lin-alg--another-example-of-a-projection-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XhCSHu6dHb8.mp4/XhCSHu6dHb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XhCSHu6dHb8.mp4/XhCSHu6dHb8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XhCSHu6dHb8.m3u8/XhCSHu6dHb8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XhCSHu6dHb8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25417", "sha": "dab5cb9018dd095234d2ea8ac2b278a9ea368445", "translated_description": "Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first", "image_url": "https://img.youtube.com/vi/XhCSHu6dHb8/hqdefault.jpg", "youtube_id": "XhCSHu6dHb8", "content_kind": "Video", "readable_id": "lin-alg--another-example-of-a-projection-matrix"}, {"translated_youtube_id": "b269qpILOpk", "relative_url": "/video/linear-alg--projection-is-closest-vector-in-subspace", "has_questions": false, "keywords": "projection, subspace", "ka_url": "http://www.khanacademy.org/video/linear-alg--projection-is-closest-vector-in-subspace", "duration": 545, "translated_title": "Projection is closest vector in subspace", "translated_description_html": "Showing that the projection of x onto a subspace is the closest vector in the subspace to x", "id": "25419", "description_html": "Showing that the projection of x onto a subspace is the closest vector in the subspace to x", "title": "Projection is closest vector in subspace", "progress_key": "v25419", "edit_slug": "edit/v/25419", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the projection of x onto a subspace is the closest vector in the subspace to x", "extra_properties": null, "node_slug": "v/linear-alg--projection-is-closest-vector-in-subspace", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b269qpILOpk.mp4/b269qpILOpk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b269qpILOpk.mp4/b269qpILOpk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b269qpILOpk.m3u8/b269qpILOpk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b269qpILOpk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25419", "sha": "670cfc5a891225f6b8635a4d99ff903e65a9ca34", "translated_description": "Showing that the projection of x onto a subspace is the closest vector in the subspace to x", "image_url": "https://img.youtube.com/vi/b269qpILOpk/hqdefault.jpg", "youtube_id": "b269qpILOpk", "content_kind": "Video", "readable_id": "linear-alg--projection-is-closest-vector-in-subspace"}, {"translated_youtube_id": "MC7l96tW8V8", "relative_url": "/video/linear-algebra--least-squares-approximation", "has_questions": false, "keywords": "least, squares, approximation, solution", "ka_url": "http://www.khanacademy.org/video/linear-algebra--least-squares-approximation", "duration": 932, "translated_title": "Least squares approximation", "translated_description_html": "The least squares approximation for otherwise unsolvable equations", "id": "25421", "description_html": "The least squares approximation for otherwise unsolvable equations", "title": "Least squares approximation", "progress_key": "v25421", "edit_slug": "edit/v/25421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The least squares approximation for otherwise unsolvable equations", "extra_properties": null, "node_slug": "v/linear-algebra--least-squares-approximation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MC7l96tW8V8.mp4/MC7l96tW8V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MC7l96tW8V8.mp4/MC7l96tW8V8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MC7l96tW8V8.m3u8/MC7l96tW8V8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MC7l96tW8V8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25421", "sha": "bcc4ef44f959db577d88d98cf2e1a8f7225440d7", "translated_description": "The least squares approximation for otherwise unsolvable equations", "image_url": "https://img.youtube.com/vi/MC7l96tW8V8/hqdefault.jpg", "youtube_id": "MC7l96tW8V8", "content_kind": "Video", "readable_id": "linear-algebra--least-squares-approximation"}, {"translated_youtube_id": "8mAZYv5wIcE", "relative_url": "/video/linear-algebra--least-squares-examples", "has_questions": false, "keywords": "least, squares, approximation, solution", "ka_url": "http://www.khanacademy.org/video/linear-algebra--least-squares-examples", "duration": 1130, "translated_title": "Least squares examples", "translated_description_html": "An example using the least squares solution to an unsolvable system", "id": "25423", "description_html": "An example using the least squares solution to an unsolvable system", "title": "Least squares examples", "progress_key": "v25423", "edit_slug": "edit/v/25423", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An example using the least squares solution to an unsolvable system", "extra_properties": null, "node_slug": "v/linear-algebra--least-squares-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8mAZYv5wIcE.mp4/8mAZYv5wIcE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8mAZYv5wIcE.mp4/8mAZYv5wIcE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8mAZYv5wIcE.m3u8/8mAZYv5wIcE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8mAZYv5wIcE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25423", "sha": "e0e8890ff7bdeca2632198012e05025f7266c670", "translated_description": "An example using the least squares solution to an unsolvable system", "image_url": "https://img.youtube.com/vi/8mAZYv5wIcE/hqdefault.jpg", "youtube_id": "8mAZYv5wIcE", "content_kind": "Video", "readable_id": "linear-algebra--least-squares-examples"}, {"translated_youtube_id": "QkepM8Vv3kw", "relative_url": "/video/linear-algebra--another-least-squares-example", "has_questions": false, "keywords": "least, squares, approximation, solution", "ka_url": "http://www.khanacademy.org/video/linear-algebra--another-least-squares-example", "duration": 805, "translated_title": "Another least squares example", "translated_description_html": "Using least squares approximation to fit a line to points", "id": "25425", "description_html": "Using least squares approximation to fit a line to points", "title": "Another least squares example", "progress_key": "v25425", "edit_slug": "edit/v/25425", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using least squares approximation to fit a line to points", "extra_properties": null, "node_slug": "v/linear-algebra--another-least-squares-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QkepM8Vv3kw.mp4/QkepM8Vv3kw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QkepM8Vv3kw.mp4/QkepM8Vv3kw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QkepM8Vv3kw.m3u8/QkepM8Vv3kw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QkepM8Vv3kw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25425", "sha": "a8e1360797e02afe99760a0eb6eff36706370378", "translated_description": "Using least squares approximation to fit a line to points", "image_url": "https://img.youtube.com/vi/QkepM8Vv3kw/hqdefault.jpg", "youtube_id": "QkepM8Vv3kw", "content_kind": "Video", "readable_id": "linear-algebra--another-least-squares-example"}], "twitter_url": "", "translated_description": "This is one of those tutorials that bring many ideas we've been building together into something applicable. Orthogonal projections (which can sometimes be conceptualized as a \"vector's shadow\" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics!\n\nIf you're familiar with orthogonal complements, then you're ready for this tutorial!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is one of those tutorials that bring many ideas we've been building together into something applicable. Orthogonal projections (which can sometimes be conceptualized as a \"vector's shadow\" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics!\n\nIf you're familiar with orthogonal complements, then you're ready for this tutorial!", "x_pos": 0.0, "node_slug": "orthogonal_projections", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd6d11862", "topic_page_url": "/math/linear-algebra/alternate_bases/orthogonal_projections", "extended_slug": "math/linear-algebra/alternate_bases/orthogonal_projections", "slug": "orthogonal_projections", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0abb42fff818793a0b714125cbc4b879816013be", "standalone_title": "Orthogonal projections", "y_pos": 0.0, "current_revision_key": "0abb42fff818793a0b714125cbc4b879816013be", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases/change_of_basis", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis", "translated_standalone_title": "Change of basis", "translated_title": "Change of basis", "gplus_url": "", "id": "x476be17b", "old_key_name": "9boPymkYk1RXdDeht_H3jIY4SX_bnDMVP3Fd53ci", "hide": false, "title": "Change of basis", "child_data": [{"kind": "Video", "id": 25427}, {"kind": "Video", "id": 25429}, {"kind": "Video", "id": 25431}, {"kind": "Video", "id": 25433}, {"kind": "Video", "id": 25435}, {"kind": "Video", "id": 25437}, {"kind": "Video", "id": 25439}], "children": [{"translated_youtube_id": "uvgru6FcyxU", "relative_url": "/video/linear-algebra--coordinates-with-respect-to-a-basis", "has_questions": false, "keywords": "basis, coordinates", "ka_url": "http://www.khanacademy.org/video/linear-algebra--coordinates-with-respect-to-a-basis", "duration": 968, "translated_title": "Coordinates with respect to a basis", "translated_description_html": "Understanding alternate coordinate systems", "id": "25427", "description_html": "Understanding alternate coordinate systems", "title": "Coordinates with respect to a basis", "progress_key": "v25427", "edit_slug": "edit/v/25427", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding alternate coordinate systems", "extra_properties": null, "node_slug": "v/linear-algebra--coordinates-with-respect-to-a-basis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uvgru6FcyxU.mp4/uvgru6FcyxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uvgru6FcyxU.mp4/uvgru6FcyxU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uvgru6FcyxU.m3u8/uvgru6FcyxU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uvgru6FcyxU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25427", "sha": "e6aeae9394b747fd12dab4c869c0df42a9b142ca", "translated_description": "Understanding alternate coordinate systems", "image_url": "https://img.youtube.com/vi/uvgru6FcyxU/hqdefault.jpg", "youtube_id": "uvgru6FcyxU", "content_kind": "Video", "readable_id": "linear-algebra--coordinates-with-respect-to-a-basis"}, {"translated_youtube_id": "1j5WnqwMdCk", "relative_url": "/video/linear-algebra--change-of-basis-matrix", "has_questions": false, "keywords": "change, of, basis, matrix, coordinate, system", "ka_url": "http://www.khanacademy.org/video/linear-algebra--change-of-basis-matrix", "duration": 1075, "translated_title": "Change of basis matrix", "translated_description_html": "Using a change of basis matrix to get us from one coordinate system to another.", "id": "25429", "description_html": "Using a change of basis matrix to get us from one coordinate system to another.", "title": "Change of basis matrix", "progress_key": "v25429", "edit_slug": "edit/v/25429", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a change of basis matrix to get us from one coordinate system to another.", "extra_properties": null, "node_slug": "v/linear-algebra--change-of-basis-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1j5WnqwMdCk.mp4/1j5WnqwMdCk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1j5WnqwMdCk.mp4/1j5WnqwMdCk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1j5WnqwMdCk.m3u8/1j5WnqwMdCk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1j5WnqwMdCk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25429", "sha": "4dc0c46eec4137f37133d32fcbe59738f6983b14", "translated_description": "Using a change of basis matrix to get us from one coordinate system to another.", "image_url": "https://img.youtube.com/vi/1j5WnqwMdCk/hqdefault.jpg", "youtube_id": "1j5WnqwMdCk", "content_kind": "Video", "readable_id": "linear-algebra--change-of-basis-matrix"}, {"translated_youtube_id": "meibWcbGqt4", "relative_url": "/video/lin-alg--invertible-change-of-basis-matrix", "has_questions": false, "keywords": "change, of, basis, matrix, coordinate, system", "ka_url": "http://www.khanacademy.org/video/lin-alg--invertible-change-of-basis-matrix", "duration": 814, "translated_title": "Invertible change of basis matrix", "translated_description_html": "Using an invertible change of basis matrix to go between different coordinate systems", "id": "25431", "description_html": "Using an invertible change of basis matrix to go between different coordinate systems", "title": "Invertible change of basis matrix", "progress_key": "v25431", "edit_slug": "edit/v/25431", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using an invertible change of basis matrix to go between different coordinate systems", "extra_properties": null, "node_slug": "v/lin-alg--invertible-change-of-basis-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/meibWcbGqt4.mp4/meibWcbGqt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/meibWcbGqt4.mp4/meibWcbGqt4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/meibWcbGqt4.m3u8/meibWcbGqt4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=meibWcbGqt4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25431", "sha": "dce0764dc5a86b1083af0c468fbbcd2084539c62", "translated_description": "Using an invertible change of basis matrix to go between different coordinate systems", "image_url": "https://img.youtube.com/vi/meibWcbGqt4/hqdefault.jpg", "youtube_id": "meibWcbGqt4", "content_kind": "Video", "readable_id": "lin-alg--invertible-change-of-basis-matrix"}, {"translated_youtube_id": "PiuhTj0zCf4", "relative_url": "/video/lin-alg--transformation-matrix-with-respect-to-a-basis", "has_questions": false, "keywords": "transformation, basis, coordinates", "ka_url": "http://www.khanacademy.org/video/lin-alg--transformation-matrix-with-respect-to-a-basis", "duration": 1082, "translated_title": "Transformation matrix with respect to a basis", "translated_description_html": "Finding the transformation matrix with respect to a non-standard basis", "id": "25433", "description_html": "Finding the transformation matrix with respect to a non-standard basis", "title": "Transformation matrix with respect to a basis", "progress_key": "v25433", "edit_slug": "edit/v/25433", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the transformation matrix with respect to a non-standard basis", "extra_properties": null, "node_slug": "v/lin-alg--transformation-matrix-with-respect-to-a-basis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PiuhTj0zCf4.mp4/PiuhTj0zCf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PiuhTj0zCf4.mp4/PiuhTj0zCf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PiuhTj0zCf4.m3u8/PiuhTj0zCf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PiuhTj0zCf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25433", "sha": "815bde1e994f9eef3206aacba17599a5b140564b", "translated_description": "Finding the transformation matrix with respect to a non-standard basis", "image_url": "https://img.youtube.com/vi/PiuhTj0zCf4/hqdefault.jpg", "youtube_id": "PiuhTj0zCf4", "content_kind": "Video", "readable_id": "lin-alg--transformation-matrix-with-respect-to-a-basis"}, {"translated_youtube_id": "lCRGNykWqFI", "relative_url": "/video/lin-alg--alternate-basis-tranformation-matrix-example", "has_questions": false, "keywords": "basis, coordinates, transformation, matrix", "ka_url": "http://www.khanacademy.org/video/lin-alg--alternate-basis-tranformation-matrix-example", "duration": 800, "translated_title": "Alternate basis transformation matrix example", "translated_description_html": "Example of finding the transformation matrix for an alternate basis", "id": "25435", "description_html": "Example of finding the transformation matrix for an alternate basis", "title": "Alternate basis transformation matrix example", "progress_key": "v25435", "edit_slug": "edit/v/25435", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of finding the transformation matrix for an alternate basis", "extra_properties": null, "node_slug": "v/lin-alg--alternate-basis-tranformation-matrix-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lCRGNykWqFI.mp4/lCRGNykWqFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lCRGNykWqFI.mp4/lCRGNykWqFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lCRGNykWqFI.m3u8/lCRGNykWqFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lCRGNykWqFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25435", "sha": "d03da71ddb1571d9f7c3de3b876e3dc19748830e", "translated_description": "Example of finding the transformation matrix for an alternate basis", "image_url": "https://img.youtube.com/vi/lCRGNykWqFI/hqdefault.jpg", "youtube_id": "lCRGNykWqFI", "content_kind": "Video", "readable_id": "lin-alg--alternate-basis-tranformation-matrix-example"}, {"translated_youtube_id": "EyORbCPUAd4", "relative_url": "/video/lin-alg--alternate-basis-tranformation-matrix-example-part-2", "has_questions": false, "keywords": "Linear, Algebra, basis, coordinates, transformation", "ka_url": "http://www.khanacademy.org/video/lin-alg--alternate-basis-tranformation-matrix-example-part-2", "duration": 756, "translated_title": "Alternate basis transformation matrix example part 2", "translated_description_html": "Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.", "id": "25437", "description_html": "Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.", "title": "Alternate basis transformation matrix example part 2", "progress_key": "v25437", "edit_slug": "edit/v/25437", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.", "extra_properties": null, "node_slug": "v/lin-alg--alternate-basis-tranformation-matrix-example-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EyORbCPUAd4.mp4/EyORbCPUAd4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EyORbCPUAd4.mp4/EyORbCPUAd4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EyORbCPUAd4.m3u8/EyORbCPUAd4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EyORbCPUAd4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25437", "sha": "8e557e1a19cde8777d0bd1b36198dd08892a52b3", "translated_description": "Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.", "image_url": "https://img.youtube.com/vi/EyORbCPUAd4/hqdefault.jpg", "youtube_id": "EyORbCPUAd4", "content_kind": "Video", "readable_id": "lin-alg--alternate-basis-tranformation-matrix-example-part-2"}, {"translated_youtube_id": "K_na_j1Msfg", "relative_url": "/video/lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix", "has_questions": false, "keywords": "basis, coordinates, transformation, matrix", "ka_url": "http://www.khanacademy.org/video/lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix", "duration": 1739, "translated_title": "Changing coordinate systems to help find a transformation matrix", "translated_description_html": "Changing our coordinate system to find the transformation matrix with respect to standard coordinates", "id": "25439", "description_html": "Changing our coordinate system to find the transformation matrix with respect to standard coordinates", "title": "Changing coordinate systems to help find a transformation matrix", "progress_key": "v25439", "edit_slug": "edit/v/25439", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Changing our coordinate system to find the transformation matrix with respect to standard coordinates", "extra_properties": null, "node_slug": "v/lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K_na_j1Msfg.mp4/K_na_j1Msfg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K_na_j1Msfg.mp4/K_na_j1Msfg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K_na_j1Msfg.m3u8/K_na_j1Msfg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K_na_j1Msfg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25439", "sha": "9bfa89001294c2df3feb470b36727800c6e1d3bc", "translated_description": "Changing our coordinate system to find the transformation matrix with respect to standard coordinates", "image_url": "https://img.youtube.com/vi/K_na_j1Msfg/hqdefault.jpg", "youtube_id": "K_na_j1Msfg", "content_kind": "Video", "readable_id": "lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix"}], "twitter_url": "", "translated_description": "Finding a coordinate system boring. Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)? Well, we have the tool for you: change your coordinate system to one that you like more. Sound strange? Watch this tutorial and it will be less so. Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Finding a coordinate system boring. Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)? Well, we have the tool for you: change your coordinate system to one that you like more. Sound strange? Watch this tutorial and it will be less so. Have fun!", "x_pos": 0.0, "node_slug": "change_of_basis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax476be17b", "topic_page_url": "/math/linear-algebra/alternate_bases/change_of_basis", "extended_slug": "math/linear-algebra/alternate_bases/change_of_basis", "slug": "change_of_basis", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dfa85ff5f6ee0d3f632f427893b5230fae520880", "standalone_title": "Change of basis", "y_pos": 0.0, "current_revision_key": "dfa85ff5f6ee0d3f632f427893b5230fae520880", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases/orthonormal_basis", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis", "translated_standalone_title": "Orthonormal basis", "translated_title": "Orthonormal bases and the Gram-Schmidt process", "gplus_url": "", "id": "xf34f42a2", "old_key_name": "YVBeE04AAuCLaC7FObkOesglE471-IDnm4UTMSxr", "hide": false, "title": "Orthonormal bases and the Gram-Schmidt process", "child_data": [{"kind": "Video", "id": 25441}, {"kind": "Video", "id": 25443}, {"kind": "Video", "id": 25445}, {"kind": "Video", "id": 25447}, {"kind": "Video", "id": 25449}, {"kind": "Video", "id": 25451}, {"kind": "Video", "id": 25453}, {"kind": "Video", "id": 25455}, {"kind": "Video", "id": 25457}], "children": [{"translated_youtube_id": "7BFx8pt2aTQ", "relative_url": "/video/linear-algebra--introduction-to-orthonormal-bases", "has_questions": false, "keywords": "orthonormal, basis, orthogonal, set, normal, normailzed", "ka_url": "http://www.khanacademy.org/video/linear-algebra--introduction-to-orthonormal-bases", "duration": 676, "translated_title": "Introduction to orthonormal bases", "translated_description_html": "Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.", "id": "25441", "description_html": "Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.", "title": "Introduction to orthonormal bases", "progress_key": "v25441", "edit_slug": "edit/v/25441", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.", "extra_properties": null, "node_slug": "v/linear-algebra--introduction-to-orthonormal-bases", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7BFx8pt2aTQ.mp4/7BFx8pt2aTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7BFx8pt2aTQ.mp4/7BFx8pt2aTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7BFx8pt2aTQ.m3u8/7BFx8pt2aTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7BFx8pt2aTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25441", "sha": "48573b0bf7ae25facc79b5fbd499129f0ff328a3", "translated_description": "Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.", "image_url": "https://img.youtube.com/vi/7BFx8pt2aTQ/hqdefault.jpg", "youtube_id": "7BFx8pt2aTQ", "content_kind": "Video", "readable_id": "linear-algebra--introduction-to-orthonormal-bases"}, {"translated_youtube_id": "SWbis2zWIvo", "relative_url": "/video/linear-algebra--coordinates-with-respect-to-orthonormal-bases", "has_questions": false, "keywords": "orthonormal, coordinates", "ka_url": "http://www.khanacademy.org/video/linear-algebra--coordinates-with-respect-to-orthonormal-bases", "duration": 928, "translated_title": "Coordinates with respect to orthonormal bases", "translated_description_html": "Seeing that orthonormal bases make for good coordinate systems", "id": "25443", "description_html": "Seeing that orthonormal bases make for good coordinate systems", "title": "Coordinates with respect to orthonormal bases", "progress_key": "v25443", "edit_slug": "edit/v/25443", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Seeing that orthonormal bases make for good coordinate systems", "extra_properties": null, "node_slug": "v/linear-algebra--coordinates-with-respect-to-orthonormal-bases", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SWbis2zWIvo.mp4/SWbis2zWIvo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SWbis2zWIvo.mp4/SWbis2zWIvo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SWbis2zWIvo.m3u8/SWbis2zWIvo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SWbis2zWIvo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25443", "sha": "adb47ea93b0a53294c9c17eb923d4d911efb7a11", "translated_description": "Seeing that orthonormal bases make for good coordinate systems", "image_url": "https://img.youtube.com/vi/SWbis2zWIvo/hqdefault.jpg", "youtube_id": "SWbis2zWIvo", "content_kind": "Video", "readable_id": "linear-algebra--coordinates-with-respect-to-orthonormal-bases"}, {"translated_youtube_id": "we829K4NOq8", "relative_url": "/video/lin-alg--projections-onto-subspaces-with-orthonormal-bases", "has_questions": false, "keywords": "projection, orthonormal, basis", "ka_url": "http://www.khanacademy.org/video/lin-alg--projections-onto-subspaces-with-orthonormal-bases", "duration": 974, "translated_title": "Projections onto subspaces with orthonormal bases", "translated_description_html": "Projections onto subspaces with orthonormal bases", "id": "25445", "description_html": "Projections onto subspaces with orthonormal bases", "title": "Projections onto subspaces with orthonormal bases", "progress_key": "v25445", "edit_slug": "edit/v/25445", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Projections onto subspaces with orthonormal bases", "extra_properties": null, "node_slug": "v/lin-alg--projections-onto-subspaces-with-orthonormal-bases", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/we829K4NOq8.mp4/we829K4NOq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/we829K4NOq8.mp4/we829K4NOq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/we829K4NOq8.m3u8/we829K4NOq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=we829K4NOq8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25445", "sha": "7ca6daa77a2d5136075523cf3a86a5b7c822bfbe", "translated_description": "Projections onto subspaces with orthonormal bases", "image_url": "https://img.youtube.com/vi/we829K4NOq8/hqdefault.jpg", "youtube_id": "we829K4NOq8", "content_kind": "Video", "readable_id": "lin-alg--projections-onto-subspaces-with-orthonormal-bases"}, {"translated_youtube_id": "SUoqA9srY1Q", "relative_url": "/video/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example", "has_questions": false, "keywords": "basis, orthonormal, projection, proj", "ka_url": "http://www.khanacademy.org/video/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example", "duration": 402, "translated_title": "Finding projection onto subspace with orthonormal basis example", "translated_description_html": "Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis", "id": "25447", "description_html": "Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis", "title": "Finding projection onto subspace with orthonormal basis example", "progress_key": "v25447", "edit_slug": "edit/v/25447", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis", "extra_properties": null, "node_slug": "v/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SUoqA9srY1Q.mp4/SUoqA9srY1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SUoqA9srY1Q.mp4/SUoqA9srY1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SUoqA9srY1Q.m3u8/SUoqA9srY1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SUoqA9srY1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25447", "sha": "b7a354d87094a4350e1a69b737c7ed12b2f85710", "translated_description": "Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis", "image_url": "https://img.youtube.com/vi/SUoqA9srY1Q/hqdefault.jpg", "youtube_id": "SUoqA9srY1Q", "content_kind": "Video", "readable_id": "lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example"}, {"translated_youtube_id": "gfVY7cW7VLQ", "relative_url": "/video/lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix", "has_questions": false, "keywords": "orthogonal, matrix", "ka_url": "http://www.khanacademy.org/video/lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix", "duration": 1624, "translated_title": "Example using orthogonal change-of-basis matrix to find transformation matrix", "translated_description_html": "Example using orthogonal change-of-basis matrix to find transformation matrix", "id": "25449", "description_html": "Example using orthogonal change-of-basis matrix to find transformation matrix", "title": "Example using orthogonal change-of-basis matrix to find transformation matrix", "progress_key": "v25449", "edit_slug": "edit/v/25449", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example using orthogonal change-of-basis matrix to find transformation matrix", "extra_properties": null, "node_slug": "v/lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gfVY7cW7VLQ.mp4/gfVY7cW7VLQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gfVY7cW7VLQ.mp4/gfVY7cW7VLQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gfVY7cW7VLQ.m3u8/gfVY7cW7VLQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gfVY7cW7VLQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25449", "sha": "2fec89789add217a5bf44c5c6eb955d7a51a3724", "translated_description": "Example using orthogonal change-of-basis matrix to find transformation matrix", "image_url": "https://img.youtube.com/vi/gfVY7cW7VLQ/hqdefault.jpg", "youtube_id": "gfVY7cW7VLQ", "content_kind": "Video", "readable_id": "lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix"}, {"translated_youtube_id": "yDwIfYjKEeo", "relative_url": "/video/lin-alg---orthogonal-matrices-preserve-angles-and-lengths", "has_questions": false, "keywords": "orthogonal, matrix", "ka_url": "http://www.khanacademy.org/video/lin-alg---orthogonal-matrices-preserve-angles-and-lengths", "duration": 676, "translated_title": "Orthogonal matrices preserve angles and lengths", "translated_description_html": "Showing that orthogonal matrices preserve angles and lengths", "id": "25451", "description_html": "Showing that orthogonal matrices preserve angles and lengths", "title": "Orthogonal matrices preserve angles and lengths", "progress_key": "v25451", "edit_slug": "edit/v/25451", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that orthogonal matrices preserve angles and lengths", "extra_properties": null, "node_slug": "v/lin-alg---orthogonal-matrices-preserve-angles-and-lengths", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yDwIfYjKEeo.mp4/yDwIfYjKEeo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yDwIfYjKEeo.mp4/yDwIfYjKEeo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yDwIfYjKEeo.m3u8/yDwIfYjKEeo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yDwIfYjKEeo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25451", "sha": "2c082686fc40d7d8209192f047e356840b906a79", "translated_description": "Showing that orthogonal matrices preserve angles and lengths", "image_url": "https://img.youtube.com/vi/yDwIfYjKEeo/hqdefault.jpg", "youtube_id": "yDwIfYjKEeo", "content_kind": "Video", "readable_id": "lin-alg---orthogonal-matrices-preserve-angles-and-lengths"}, {"translated_youtube_id": "rHonltF77zI", "relative_url": "/video/linear-algebra--the-gram-schmidt-process", "has_questions": false, "keywords": "gram, schmidt, orthonormal", "ka_url": "http://www.khanacademy.org/video/linear-algebra--the-gram-schmidt-process", "duration": 1164, "translated_title": "The Gram-Schmidt process", "translated_description_html": "Finding an orthonormal basis for a subspace using the Gram-Schmidt Process", "id": "25453", "description_html": "Finding an orthonormal basis for a subspace using the Gram-Schmidt Process", "title": "The Gram-Schmidt process", "progress_key": "v25453", "edit_slug": "edit/v/25453", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding an orthonormal basis for a subspace using the Gram-Schmidt Process", "extra_properties": null, "node_slug": "v/linear-algebra--the-gram-schmidt-process", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rHonltF77zI.mp4/rHonltF77zI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rHonltF77zI.mp4/rHonltF77zI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rHonltF77zI.m3u8/rHonltF77zI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rHonltF77zI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25453", "sha": "cbf35e65711560d57bf08189aa4139a7dae84a9d", "translated_description": "Finding an orthonormal basis for a subspace using the Gram-Schmidt Process", "image_url": "https://img.youtube.com/vi/rHonltF77zI/hqdefault.jpg", "youtube_id": "rHonltF77zI", "content_kind": "Video", "readable_id": "linear-algebra--the-gram-schmidt-process"}, {"translated_youtube_id": "tu1GPtfsQ7M", "relative_url": "/video/linear-algebra--gram-schmidt-process-example", "has_questions": false, "keywords": "gram, schmidt, process, basis", "ka_url": "http://www.khanacademy.org/video/linear-algebra--gram-schmidt-process-example", "duration": 794, "translated_title": "Gram-Schmidt process example", "translated_description_html": "Using Gram-Schmidt to find an orthonormal basis for a plane in R3", "id": "25455", "description_html": "Using Gram-Schmidt to find an orthonormal basis for a plane in R3", "title": "Gram-Schmidt process example", "progress_key": "v25455", "edit_slug": "edit/v/25455", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Gram-Schmidt to find an orthonormal basis for a plane in R3", "extra_properties": null, "node_slug": "v/linear-algebra--gram-schmidt-process-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tu1GPtfsQ7M.mp4/tu1GPtfsQ7M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tu1GPtfsQ7M.mp4/tu1GPtfsQ7M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tu1GPtfsQ7M.m3u8/tu1GPtfsQ7M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tu1GPtfsQ7M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25455", "sha": "ac641cc40bcd438b2be4bb785c5f23f758b27853", "translated_description": "Using Gram-Schmidt to find an orthonormal basis for a plane in R3", "image_url": "https://img.youtube.com/vi/tu1GPtfsQ7M/hqdefault.jpg", "youtube_id": "tu1GPtfsQ7M", "content_kind": "Video", "readable_id": "linear-algebra--gram-schmidt-process-example"}, {"translated_youtube_id": "ZRRG386v6DI", "relative_url": "/video/linear-algebra---gram-schmidt-example-with-3-basis-vectors", "has_questions": false, "keywords": "gram, schmidt", "ka_url": "http://www.khanacademy.org/video/linear-algebra---gram-schmidt-example-with-3-basis-vectors", "duration": 837, "translated_title": "Gram-Schmidt example with 3 basis vectors", "translated_description_html": "Gram-Schmidt example with 3 basis vectors", "id": "25457", "description_html": "Gram-Schmidt example with 3 basis vectors", "title": "Gram-Schmidt example with 3 basis vectors", "progress_key": "v25457", "edit_slug": "edit/v/25457", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gram-Schmidt example with 3 basis vectors", "extra_properties": null, "node_slug": "v/linear-algebra---gram-schmidt-example-with-3-basis-vectors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZRRG386v6DI.mp4/ZRRG386v6DI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZRRG386v6DI.mp4/ZRRG386v6DI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZRRG386v6DI.m3u8/ZRRG386v6DI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZRRG386v6DI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25457", "sha": "a57a1bead219e85fbd28d065c460c875a994049d", "translated_description": "Gram-Schmidt example with 3 basis vectors", "image_url": "https://img.youtube.com/vi/ZRRG386v6DI/hqdefault.jpg", "youtube_id": "ZRRG386v6DI", "content_kind": "Video", "readable_id": "linear-algebra---gram-schmidt-example-with-3-basis-vectors"}], "twitter_url": "", "translated_description": "As we'll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you've known for a long time!). We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "As we'll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you've known for a long time!). We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).", "x_pos": 0.0, "node_slug": "orthonormal_basis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf34f42a2", "topic_page_url": "/math/linear-algebra/alternate_bases/orthonormal_basis", "extended_slug": "math/linear-algebra/alternate_bases/orthonormal_basis", "slug": "orthonormal_basis", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1b3ac32c68ae2dcdd306ce25c7a8d683f6696d77", "standalone_title": "Orthonormal basis", "y_pos": 0.0, "current_revision_key": "1b3ac32c68ae2dcdd306ce25c7a8d683f6696d77", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/linear-algebra/alternate_bases/eigen_everything", "web_url": "", "ka_url": "http://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything", "translated_standalone_title": "Eigen-everything", "translated_title": "Eigen-everything", "gplus_url": "", "id": "xbbab9c7d", "old_key_name": "8HiMWhUQO9BifQDr-m8aXIEhKySEmzYBUmBqanyV", "hide": false, "title": "Eigen-everything", "child_data": [{"kind": "Video", "id": 25459}, {"kind": "Video", "id": 25461}, {"kind": "Video", "id": 25463}, {"kind": "Video", "id": 25465}, {"kind": "Video", "id": 25467}, {"kind": "Video", "id": 25469}, {"kind": "Video", "id": 25471}], "children": [{"translated_youtube_id": "PhfbEr2btGQ", "relative_url": "/video/linear-algebra--introduction-to-eigenvalues-and-eigenvectors", "has_questions": false, "keywords": "eigenvalue, eigenvector", "ka_url": "http://www.khanacademy.org/video/linear-algebra--introduction-to-eigenvalues-and-eigenvectors", "duration": 463, "translated_title": "Introduction to eigenvalues and eigenvectors", "translated_description_html": "What eigenvectors and eigenvalues are and why they are interesting", "id": "25459", "description_html": "What eigenvectors and eigenvalues are and why they are interesting", "title": "Introduction to eigenvalues and eigenvectors", "progress_key": "v25459", "edit_slug": "edit/v/25459", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What eigenvectors and eigenvalues are and why they are interesting", "extra_properties": null, "node_slug": "v/linear-algebra--introduction-to-eigenvalues-and-eigenvectors", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PhfbEr2btGQ.mp4/PhfbEr2btGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PhfbEr2btGQ.mp4/PhfbEr2btGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PhfbEr2btGQ.m3u8/PhfbEr2btGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PhfbEr2btGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25459", "sha": "26d441507fcdac8b8e056318120cd40187cf891d", "translated_description": "What eigenvectors and eigenvalues are and why they are interesting", "image_url": "https://img.youtube.com/vi/PhfbEr2btGQ/hqdefault.jpg", "youtube_id": "PhfbEr2btGQ", "content_kind": "Video", "readable_id": "linear-algebra--introduction-to-eigenvalues-and-eigenvectors"}, {"translated_youtube_id": "rfm0wQObxjk", "relative_url": "/video/linear-algebra--proof-of-formula-for-determining-eigenvalues", "has_questions": false, "keywords": "eigenvectors, eigenvalues", "ka_url": "http://www.khanacademy.org/video/linear-algebra--proof-of-formula-for-determining-eigenvalues", "duration": 559, "translated_title": "Proof of formula for determining eigenvalues", "translated_description_html": "Proof of formula for determining Eigenvalues", "id": "25461", "description_html": "Proof of formula for determining Eigenvalues", "title": "Proof of formula for determining eigenvalues", "progress_key": "v25461", "edit_slug": "edit/v/25461", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof of formula for determining Eigenvalues", "extra_properties": null, "node_slug": "v/linear-algebra--proof-of-formula-for-determining-eigenvalues", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rfm0wQObxjk.mp4/rfm0wQObxjk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rfm0wQObxjk.mp4/rfm0wQObxjk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rfm0wQObxjk.m3u8/rfm0wQObxjk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rfm0wQObxjk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25461", "sha": "5bd246364faa7c444a3b9ae04cb498bd8083f910", "translated_description": "Proof of formula for determining Eigenvalues", "image_url": "https://img.youtube.com/vi/rfm0wQObxjk/hqdefault.jpg", "youtube_id": "rfm0wQObxjk", "content_kind": "Video", "readable_id": "linear-algebra--proof-of-formula-for-determining-eigenvalues"}, {"translated_youtube_id": "pZ6mMVEE89g", "relative_url": "/video/linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix", "has_questions": false, "keywords": "eigenvalue", "ka_url": "http://www.khanacademy.org/video/linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix", "duration": 339, "translated_title": "Example solving for the eigenvalues of a 2x2 matrix", "translated_description_html": "Example solving for the eigenvalues of a 2x2 matrix", "id": "25463", "description_html": "Example solving for the eigenvalues of a 2x2 matrix", "title": "Example solving for the eigenvalues of a 2x2 matrix", "progress_key": "v25463", "edit_slug": "edit/v/25463", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example solving for the eigenvalues of a 2x2 matrix", "extra_properties": null, "node_slug": "v/linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pZ6mMVEE89g.mp4/pZ6mMVEE89g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pZ6mMVEE89g.mp4/pZ6mMVEE89g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pZ6mMVEE89g.m3u8/pZ6mMVEE89g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pZ6mMVEE89g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25463", "sha": "716504359c2529cb477b2ee807bbba77583a8f5c", "translated_description": "Example solving for the eigenvalues of a 2x2 matrix", "image_url": "https://img.youtube.com/vi/pZ6mMVEE89g/hqdefault.jpg", "youtube_id": "pZ6mMVEE89g", "content_kind": "Video", "readable_id": "linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix"}, {"translated_youtube_id": "3-xfmbdzkqc", "relative_url": "/video/linear-algebra---finding-eigenvectors-and-eigenspaces-example", "has_questions": false, "keywords": "eigenvalue, eigenvector, eigenspace", "ka_url": "http://www.khanacademy.org/video/linear-algebra---finding-eigenvectors-and-eigenspaces-example", "duration": 874, "translated_title": "Finding eigenvectors and eigenspaces example", "translated_description_html": "Finding the eigenvectors and eigenspaces of a 2x2 matrix", "id": "25465", "description_html": "Finding the eigenvectors and eigenspaces of a 2x2 matrix", "title": "Finding eigenvectors and eigenspaces example", "progress_key": "v25465", "edit_slug": "edit/v/25465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Finding the eigenvectors and eigenspaces of a 2x2 matrix", "extra_properties": null, "node_slug": "v/linear-algebra---finding-eigenvectors-and-eigenspaces-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3-xfmbdzkqc.mp4/3-xfmbdzkqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3-xfmbdzkqc.mp4/3-xfmbdzkqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3-xfmbdzkqc.m3u8/3-xfmbdzkqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3-xfmbdzkqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25465", "sha": "c73e97ec605bbf7fe5e33aeacfe0727002375c71", "translated_description": "Finding the eigenvectors and eigenspaces of a 2x2 matrix", "image_url": "https://img.youtube.com/vi/3-xfmbdzkqc/hqdefault.jpg", "youtube_id": "3-xfmbdzkqc", "content_kind": "Video", "readable_id": "linear-algebra---finding-eigenvectors-and-eigenspaces-example"}, {"translated_youtube_id": "11dNghWC4HI", "relative_url": "/video/linear-algebra--eigenvalues-of-a-3x3-matrix", "has_questions": false, "keywords": "eigenvalue, eigenvector", "ka_url": "http://www.khanacademy.org/video/linear-algebra--eigenvalues-of-a-3x3-matrix", "duration": 848, "translated_title": "Eigenvalues of a 3x3 matrix", "translated_description_html": "Determining the eigenvalues of a 3x3 matrix", "id": "25467", "description_html": "Determining the eigenvalues of a 3x3 matrix", "title": "Eigenvalues of a 3x3 matrix", "progress_key": "v25467", "edit_slug": "edit/v/25467", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining the eigenvalues of a 3x3 matrix", "extra_properties": null, "node_slug": "v/linear-algebra--eigenvalues-of-a-3x3-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/11dNghWC4HI.mp4/11dNghWC4HI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/11dNghWC4HI.mp4/11dNghWC4HI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/11dNghWC4HI.m3u8/11dNghWC4HI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=11dNghWC4HI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25467", "sha": "089674511e7542ccf6bb2dc868a34292a889b50e", "translated_description": "Determining the eigenvalues of a 3x3 matrix", "image_url": "https://img.youtube.com/vi/11dNghWC4HI/hqdefault.jpg", "youtube_id": "11dNghWC4HI", "content_kind": "Video", "readable_id": "linear-algebra--eigenvalues-of-a-3x3-matrix"}, {"translated_youtube_id": "3Md5KCCQX-0", "relative_url": "/video/linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix", "has_questions": false, "keywords": "eigenvector, eigenspace", "ka_url": "http://www.khanacademy.org/video/linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix", "duration": 934, "translated_title": "Eigenvectors and eigenspaces for a 3x3 matrix", "translated_description_html": "Eigenvectors and eigenspaces for a 3x3 matrix", "id": "25469", "description_html": "Eigenvectors and eigenspaces for a 3x3 matrix", "title": "Eigenvectors and eigenspaces for a 3x3 matrix", "progress_key": "v25469", "edit_slug": "edit/v/25469", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Eigenvectors and eigenspaces for a 3x3 matrix", "extra_properties": null, "node_slug": "v/linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Md5KCCQX-0.mp4/3Md5KCCQX-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Md5KCCQX-0.mp4/3Md5KCCQX-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Md5KCCQX-0.m3u8/3Md5KCCQX-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Md5KCCQX-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25469", "sha": "b1baf2a8ad261323564738a775b409f19cdcb29d", "translated_description": "Eigenvectors and eigenspaces for a 3x3 matrix", "image_url": "https://img.youtube.com/vi/3Md5KCCQX-0/hqdefault.jpg", "youtube_id": "3Md5KCCQX-0", "content_kind": "Video", "readable_id": "linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix"}, {"translated_youtube_id": "C2PC9185gIw", "relative_url": "/video/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems", "has_questions": false, "keywords": "eigenbasis, eigenvector", "ka_url": "http://www.khanacademy.org/video/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems", "duration": 789, "translated_title": "Showing that an eigenbasis makes for good coordinate systems", "translated_description_html": "Showing that an eigenbasis makes for good coordinate systems", "id": "25471", "description_html": "Showing that an eigenbasis makes for good coordinate systems", "title": "Showing that an eigenbasis makes for good coordinate systems", "progress_key": "v25471", "edit_slug": "edit/v/25471", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that an eigenbasis makes for good coordinate systems", "extra_properties": null, "node_slug": "v/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:47:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C2PC9185gIw.mp4/C2PC9185gIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C2PC9185gIw.mp4/C2PC9185gIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C2PC9185gIw.m3u8/C2PC9185gIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C2PC9185gIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25471", "sha": "eb7775887afd8bee2293dbbe0110623a3de13425", "translated_description": "Showing that an eigenbasis makes for good coordinate systems", "image_url": "https://img.youtube.com/vi/C2PC9185gIw/hqdefault.jpg", "youtube_id": "C2PC9185gIw", "content_kind": "Video", "readable_id": "linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems"}], "twitter_url": "", "translated_description": "Eigenvectors, eigenvalues, eigenspaces! We will not stop with the \"eigens\"! Seriously though, eigen-everythings have many applications including finding \"good\" bases for a transformation (yes, \"good\" is a technical term in this context).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Eigenvectors, eigenvalues, eigenspaces! We will not stop with the \"eigens\"! Seriously though, eigen-everythings have many applications including finding \"good\" bases for a transformation (yes, \"good\" is a technical term in this context).", "x_pos": 0.0, "node_slug": "eigen_everything", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbbab9c7d", "topic_page_url": "/math/linear-algebra/alternate_bases/eigen_everything", "extended_slug": "math/linear-algebra/alternate_bases/eigen_everything", "slug": "eigen_everything", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3bcb5c1205fc089c9e5c4eb83e530534b42bc160", "standalone_title": "Eigen-everything", "y_pos": 0.0, "current_revision_key": "3bcb5c1205fc089c9e5c4eb83e530534b42bc160", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We explore creating and moving between various coordinate systems.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We explore creating and moving between various coordinate systems.", "x_pos": 0.0, "node_slug": "alternate_bases", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa2a6b742", "topic_page_url": "/math/linear-algebra/alternate_bases", "extended_slug": "math/linear-algebra/alternate_bases", "slug": "alternate_bases", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "01400449283434bc7e882c0ea7e8acb70fae9d9e", "standalone_title": "Alternate coordinate systems (bases)", "y_pos": 0.0, "current_revision_key": "01400449283434bc7e882c0ea7e8acb70fae9d9e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Matrices, vectors, vector spaces, transformations, eigenvectors/values. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Matrices, vectors, vector spaces, transformations, eigenvectors/values. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.", "x_pos": 0.0, "node_slug": "linear-algebra", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe2ae19cb", "topic_page_url": "/math/linear-algebra", "extended_slug": "math/linear-algebra", "slug": "linear-algebra", "tags": ["linear", "algebra", "matrices", "vectors", "matrix"], "kind": "Topic", "in_topic_browser": true, "sha": "9b2571677159a155ebf9f2e33760bed3fca22990", "standalone_title": "Linear algebra", "y_pos": 0.0, "current_revision_key": "9b2571677159a155ebf9f2e33760bed3fca22990", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math", "translated_standalone_title": "Applied math", "translated_title": "Applied math", "gplus_url": "", "id": "x06f0ee4c", "old_key_name": "C_tMg2Fh7N5C7Cjye-cCft6L4w0x615a45tFrHzL", "hide": false, "title": "Applied math", "child_data": [{"kind": "Topic", "id": "x48c910b6"}, {"kind": "Topic", "id": "x3b93f104"}, {"kind": "Topic", "id": "x4dca6357"}, {"kind": "Topic", "id": "x6e04e8b4"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography", "translated_standalone_title": "cryptography", "translated_title": "Journey into cryptography", "gplus_url": "", "id": "x48c910b6", "old_key_name": "krSNUuWKnx_KXDlv-HL8IuUAh3pZv2gxIIUr1v5a", "hide": false, "title": "Journey into cryptography", "child_data": [{"kind": "Topic", "id": "x8bfe6551"}, {"kind": "Topic", "id": "xa6df0145"}, {"kind": "Topic", "id": "xefc31a1b"}, {"kind": "Topic", "id": "xab7b8cc1"}, {"kind": "Topic", "id": "xab669f88"}, {"kind": "Topic", "id": "x032b91e2"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/crypt", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/crypt", "translated_standalone_title": "Journey into Cryptography", "translated_title": "Ancient cryptography", "gplus_url": "", "id": "x8bfe6551", "old_key_name": "eKQonkWSfzdf0JUg5_iYl5xDke_y0IyUU8z0XEyJ", "hide": false, "title": "Ancient cryptography", "child_data": [{"kind": "Video", "id": 687973969}, {"kind": "Video", "id": 688305072}, {"kind": "Video", "id": 688226223}, {"kind": "Scratchpad", "id": 1484692368}, {"kind": "Scratchpad", "id": 1332517109}, {"kind": "Video", "id": 716246883}, {"kind": "Scratchpad", "id": 1474576472}, {"kind": "Video", "id": 716378217}, {"kind": "Scratchpad", "id": 1332655677}, {"kind": "Video", "id": 545983015}, {"kind": "Exercise", "id": 1425137862}, {"kind": "Scratchpad", "id": 1320570928}, {"kind": "Video", "id": 743582610}, {"kind": "Video", "id": 743684078}, {"kind": "Video", "id": 769897425}, {"kind": "Scratchpad", "id": 1357742061}], "children": [{"translated_youtube_id": "Kf9KjCKmDcU", "relative_url": "/video/intro-to-cryptography", "has_questions": false, "keywords": "Cryptography, brit cruise", "ka_url": "http://www.khanacademy.org/video/intro-to-cryptography", "duration": 91, "translated_title": "What is cryptography?", "translated_description_html": "What is Cryptography? A story which takes us from Caesar to Claude Shannon.", "id": "687973969", "description_html": "What is Cryptography? A story which takes us from Caesar to Claude Shannon.", "title": "What is cryptography?", "progress_key": "v687973969", "edit_slug": "edit/v/687973969", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What is Cryptography? A story which takes us from Caesar to Claude Shannon.", "extra_properties": {"original_url": ""}, "node_slug": "v/intro-to-cryptography", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-28T00:34:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KjCKmDcU.mp4/Kf9KjCKmDcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KjCKmDcU.mp4/Kf9KjCKmDcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KjCKmDcU.m3u8/Kf9KjCKmDcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kf9KjCKmDcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v687973969", "sha": "362d3940276b6fc16005d21bac8f8e695fe48b60", "translated_description": "What is Cryptography? A story which takes us from Caesar to Claude Shannon.", "image_url": "https://img.youtube.com/vi/Kf9KjCKmDcU/hqdefault.jpg", "youtube_id": "Kf9KjCKmDcU", "content_kind": "Video", "readable_id": "intro-to-cryptography"}, {"translated_youtube_id": "1dPMsJ7I6BY", "relative_url": "/video/probability-space", "has_questions": false, "keywords": "probability, probability space, odds", "ka_url": "http://www.khanacademy.org/video/probability-space", "duration": 169, "translated_title": "Probability space", "translated_description_html": "How to understand & calculate probability visually", "id": "688305072", "description_html": "How to understand & calculate probability visually", "title": "Probability space", "progress_key": "v688305072", "edit_slug": "edit/v/688305072", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to understand & calculate probability visually", "extra_properties": null, "node_slug": "v/probability-space", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-03-28T00:37:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1dPMsJ7I6BY.mp4/1dPMsJ7I6BY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1dPMsJ7I6BY.mp4/1dPMsJ7I6BY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1dPMsJ7I6BY.m3u8/1dPMsJ7I6BY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1dPMsJ7I6BY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v688305072", "sha": "5d4af75f07ec4ba18cde544a3666a0134bff4daf", "translated_description": "How to understand & calculate probability visually", "image_url": "https://img.youtube.com/vi/1dPMsJ7I6BY/hqdefault.jpg", "youtube_id": "1dPMsJ7I6BY", "content_kind": "Video", "readable_id": "probability-space"}, {"translated_youtube_id": "sMOZf4GN3oc", "relative_url": "/video/caesar-cipher", "has_questions": false, "keywords": "caesar cipher, cipher", "ka_url": "http://www.khanacademy.org/video/caesar-cipher", "duration": 157, "translated_title": "The Caesar cipher", "translated_description_html": "The Caesar Cipher", "id": "688226223", "description_html": "The Caesar Cipher", "title": "The Caesar cipher", "progress_key": "v688226223", "edit_slug": "edit/v/688226223", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Caesar Cipher", "extra_properties": {"explore_url": "/labs/explorations/frequency-fingerprint"}, "node_slug": "v/caesar-cipher", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-28T00:39:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sMOZf4GN3oc.mp4/sMOZf4GN3oc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sMOZf4GN3oc.mp4/sMOZf4GN3oc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sMOZf4GN3oc.m3u8/sMOZf4GN3oc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sMOZf4GN3oc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v688226223", "sha": "77b1fe9b516a64cdb6491e38c5b5729a9f1ef01c", "translated_description": "The Caesar Cipher", "image_url": "https://img.youtube.com/vi/sMOZf4GN3oc/hqdefault.jpg", "youtube_id": "sMOZf4GN3oc", "content_kind": "Video", "readable_id": "caesar-cipher"}, {"translated_youtube_id": "BgFJD7oCmDE", "relative_url": "/video/polyalphabetic-cipher", "has_questions": false, "keywords": "cryptography, polyalphabetic, cipher", "ka_url": "http://www.khanacademy.org/video/polyalphabetic-cipher", "duration": 147, "translated_title": "Polyalphabetic cipher", "translated_description_html": "How to create a lighter fingerprint?", "id": "716246883", "description_html": "How to create a lighter fingerprint?", "title": "Polyalphabetic cipher", "progress_key": "v716246883", "edit_slug": "edit/v/716246883", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to create a lighter fingerprint?", "extra_properties": null, "node_slug": "v/polyalphabetic-cipher", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-11T18:47:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BgFJD7oCmDE.mp4/BgFJD7oCmDE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BgFJD7oCmDE.mp4/BgFJD7oCmDE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BgFJD7oCmDE.m3u8/BgFJD7oCmDE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BgFJD7oCmDE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v716246883", "sha": "68f0a888be0d245c2d73ac117809416251c3f219", "translated_description": "How to create a lighter fingerprint?", "image_url": "https://img.youtube.com/vi/BgFJD7oCmDE/hqdefault.jpg", "youtube_id": "BgFJD7oCmDE", "content_kind": "Video", "readable_id": "polyalphabetic-cipher"}, {"translated_youtube_id": "FlIG3TvQCBQ", "relative_url": "/video/one-time-pad", "has_questions": false, "keywords": "one-time pad, random, encryption", "ka_url": "http://www.khanacademy.org/video/one-time-pad", "duration": 176, "translated_title": "The one-time pad", "translated_description_html": "The perfect cipher", "id": "716378217", "description_html": "The perfect cipher", "title": "The one-time pad", "progress_key": "v716378217", "edit_slug": "edit/v/716378217", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The perfect cipher", "extra_properties": {"explore_url": "/labs/explorations/perfect-secrecy"}, "node_slug": "v/one-time-pad", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-11T18:48:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FlIG3TvQCBQ.mp4/FlIG3TvQCBQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FlIG3TvQCBQ.mp4/FlIG3TvQCBQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FlIG3TvQCBQ.m3u8/FlIG3TvQCBQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FlIG3TvQCBQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v716378217", "sha": "c6107530c1752e6374a5ec28bfdb206cd0fc4a47", "translated_description": "The perfect cipher", "image_url": "https://img.youtube.com/vi/FlIG3TvQCBQ/hqdefault.jpg", "youtube_id": "FlIG3TvQCBQ", "content_kind": "Video", "readable_id": "one-time-pad"}, {"translated_youtube_id": "vVXbgbMp0oY", "relative_url": "/video/frequency-stability", "has_questions": false, "keywords": "probability, statistics, frequency stability", "ka_url": "http://www.khanacademy.org/video/frequency-stability", "duration": 129, "translated_title": "Frequency stability", "translated_description_html": "What is the difference between a coin flip and a blind guess?", "id": "545983015", "description_html": "What is the difference between a coin flip and a blind guess?", "title": "Frequency stability", "progress_key": "v545983015", "edit_slug": "edit/v/545983015", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What is the difference between a coin flip and a blind guess?", "extra_properties": {"original_url": ""}, "node_slug": "v/frequency-stability", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-02-02T22:13:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.mp4/vVXbgbMp0oY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vVXbgbMp0oY.m3u8/vVXbgbMp0oY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vVXbgbMp0oY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v545983015", "sha": "024f0d7bf98f9f7397e5e0dfab682e5d387fc75c", "translated_description": "What is the difference between a coin flip and a blind guess?", "image_url": "https://img.youtube.com/vi/vVXbgbMp0oY/hqdefault.jpg", "youtube_id": "vVXbgbMp0oY", "content_kind": "Video", "readable_id": "frequency-stability"}, {"translated_youtube_id": "2cqbeSVhLBM", "relative_url": "/video/case-study--ww2-encryption-machines", "has_questions": false, "keywords": "engima, ww2, encryption machine, one-time-pad, german ", "ka_url": "http://www.khanacademy.org/video/case-study--ww2-encryption-machines", "duration": 601, "translated_title": "The Enigma encryption machine", "translated_description_html": "

WW2 Encryption is explored with a focus on the Enigma. Read more here<\/a>.<\/p>", "id": "743582610", "description_html": "

WW2 Encryption is explored with a focus on the Enigma. Read more here<\/a>.<\/p>", "title": "The Enigma encryption machine", "progress_key": "v743582610", "edit_slug": "edit/v/743582610", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "WW2 Encryption is explored with a focus on the Enigma. Read more here.", "extra_properties": {}, "node_slug": "v/case-study--ww2-encryption-machines", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-25T01:49:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2cqbeSVhLBM.mp4/2cqbeSVhLBM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2cqbeSVhLBM.mp4/2cqbeSVhLBM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2cqbeSVhLBM.m3u8/2cqbeSVhLBM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2cqbeSVhLBM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v743582610", "sha": "6b217a880cf1ab621387117498ef8a8708d8bdd8", "translated_description": "WW2 Encryption is explored with a focus on the Enigma. Read more here.", "image_url": "https://img.youtube.com/vi/2cqbeSVhLBM/hqdefault.jpg", "youtube_id": "2cqbeSVhLBM", "content_kind": "Video", "readable_id": "case-study--ww2-encryption-machines"}, {"translated_youtube_id": "cAt6MYoGqJ4", "relative_url": "/video/perfect-secrecy", "has_questions": false, "keywords": "perfect secrecy, claude shannon, encryption, random, cryptography", "ka_url": "http://www.khanacademy.org/video/perfect-secrecy", "duration": 253, "translated_title": "Perfect secrecy", "translated_description_html": "Claude Shannon's idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad", "id": "743684078", "description_html": "Claude Shannon's idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad", "title": "Perfect secrecy", "progress_key": "v743684078", "edit_slug": "edit/v/743684078", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claude Shannon's idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad", "extra_properties": {"original_url": ""}, "node_slug": "v/perfect-secrecy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-25T01:50:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cAt6MYoGqJ4.mp4/cAt6MYoGqJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cAt6MYoGqJ4.mp4/cAt6MYoGqJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cAt6MYoGqJ4.m3u8/cAt6MYoGqJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cAt6MYoGqJ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v743684078", "sha": "b52f40f525b143878ea5da765b23e52b3a01fb9d", "translated_description": "Claude Shannon's idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad", "image_url": "https://img.youtube.com/vi/cAt6MYoGqJ4/hqdefault.jpg", "youtube_id": "cAt6MYoGqJ4", "content_kind": "Video", "readable_id": "perfect-secrecy"}, {"translated_youtube_id": "itaMNuWLzJo", "relative_url": "/video/random-vs--pseudorandom-number-generators", "has_questions": false, "keywords": "random number generator, pseudorandom number generator, middle squares method", "ka_url": "http://www.khanacademy.org/video/random-vs--pseudorandom-number-generators", "duration": 401, "translated_title": "Pseudorandom number generators", "translated_description_html": "Random vs. Pseudorandom Number Generators", "id": "769897425", "description_html": "Random vs. Pseudorandom Number Generators", "title": "Pseudorandom number generators", "progress_key": "v769897425", "edit_slug": "edit/v/769897425", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Random vs. Pseudorandom Number Generators", "extra_properties": {"explore_url": "/labs/explorations/pseudorandom-walk"}, "node_slug": "v/random-vs--pseudorandom-number-generators", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-05-07T20:25:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/itaMNuWLzJo.mp4/itaMNuWLzJo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itaMNuWLzJo.mp4/itaMNuWLzJo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/itaMNuWLzJo.m3u8/itaMNuWLzJo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=itaMNuWLzJo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769897425", "sha": "cf26ec1d2f9d616795619d20b3d219fa125ff649", "translated_description": "Random vs. Pseudorandom Number Generators", "image_url": "https://img.youtube.com/vi/itaMNuWLzJo/hqdefault.jpg", "youtube_id": "itaMNuWLzJo", "content_kind": "Video", "readable_id": "random-vs--pseudorandom-number-generators"}], "twitter_url": "", "translated_description": "Explore how we have hidden secret messages through history.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Explore how we have hidden secret messages through history.", "x_pos": 0.0, "node_slug": "crypt", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-24T21:34:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8bfe6551", "topic_page_url": "/math/applied-math/cryptography/crypt", "extended_slug": "math/applied-math/cryptography/crypt", "slug": "crypt", "tags": ["cryptography", "brit%20cruise"], "kind": "Topic", "in_topic_browser": true, "sha": "08e895e54ef49989a92af7d7ebc3622615179aa6", "standalone_title": "Journey into Cryptography", "y_pos": 0.0, "current_revision_key": "08e895e54ef49989a92af7d7ebc3622615179aa6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/ciphers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/ciphers", "translated_standalone_title": "Ciphers", "translated_title": "Ciphers", "gplus_url": "", "id": "xa6df0145", "old_key_name": null, "hide": false, "title": "Ciphers", "child_data": [{"kind": "Article", "id": "xeaa71f01"}, {"kind": "Article", "id": "xce66587a"}, {"kind": "Exercise", "id": "x1c3c96cd"}, {"kind": "Exercise", "id": "x28a9b2e6"}, {"kind": "Exercise", "id": "xa39efedf"}, {"kind": "Exercise", "id": "x3f3a232a"}, {"kind": "Article", "id": "xf6dc668a"}, {"kind": "Article", "id": "x42cede74"}, {"kind": "Scratchpad", "id": 1855618703}, {"kind": "Exercise", "id": "x18ff55e1"}, {"kind": "Article", "id": "x5dd3af77"}], "children": [], "twitter_url": "", "translated_description": "Learn about algorithms for performing encryption & decryption. Then practice making and breaking codes!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about algorithms for performing encryption & decryption. Then practice making and breaking codes!", "x_pos": 0.0, "node_slug": "ciphers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T19:31:43Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa6df0145", "topic_page_url": "/math/applied-math/cryptography/ciphers", "extended_slug": "math/applied-math/cryptography/ciphers", "slug": "ciphers", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c7b4bf412920151a8058815d735fcd9673b400d6", "standalone_title": "Ciphers", "y_pos": 0.0, "current_revision_key": "c7b4bf412920151a8058815d735fcd9673b400d6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/modern-crypt", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/modern-crypt", "translated_standalone_title": "Intro to Modern Cryptography", "translated_title": "Modern cryptography", "gplus_url": "", "id": "xefc31a1b", "old_key_name": "yLZhob4Cta-Hv3tpmw2MYcb7aJf8bbFW4WGhYoQT", "hide": false, "title": "Modern cryptography", "child_data": [{"kind": "Video", "id": 688165658}, {"kind": "Video", "id": 1174169184}, {"kind": "Video", "id": 1174224696}, {"kind": "Video", "id": 1174406364}, {"kind": "Video", "id": 1174223673}, {"kind": "Video", "id": 1174378584}, {"kind": "Video", "id": 1174307926}, {"kind": "Scratchpad", "id": 1466763719}, {"kind": "Video", "id": 1174381381}, {"kind": "Scratchpad", "id": 1319449803}, {"kind": "Video", "id": 1174496039}, {"kind": "Video", "id": 951674691}], "children": [{"translated_youtube_id": "8CluknrLeys", "relative_url": "/video/the-fundamental-theorem-of-arithmetic-1", "has_questions": false, "keywords": "prime numbers, factorization, number theory", "ka_url": "http://www.khanacademy.org/video/the-fundamental-theorem-of-arithmetic-1", "duration": 232, "translated_title": "The fundamental theorem of arithmetic", "translated_description_html": "Independent realization from an ancestor's perspective", "id": "688165658", "description_html": "Independent realization from an ancestor's perspective", "title": "The fundamental theorem of arithmetic", "progress_key": "v688165658", "edit_slug": "edit/v/688165658", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Independent realization from an ancestor's perspective", "extra_properties": null, "node_slug": "v/the-fundamental-theorem-of-arithmetic-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-28T00:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8CluknrLeys.mp4/8CluknrLeys.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8CluknrLeys.mp4/8CluknrLeys.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8CluknrLeys.m3u8/8CluknrLeys.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8CluknrLeys&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v688165658", "sha": "08172f7f8bdfd6e347dfe090cdb3f36c63255610", "translated_description": "Independent realization from an ancestor's perspective", "image_url": "https://img.youtube.com/vi/8CluknrLeys/hqdefault.jpg", "youtube_id": "8CluknrLeys", "content_kind": "Video", "readable_id": "the-fundamental-theorem-of-arithmetic-1"}, {"translated_youtube_id": "ko62sibi668", "relative_url": "/video/diffie-hellman-key-exchange--part-1", "has_questions": false, "keywords": "diffie-hellman, public key, cryptography", "ka_url": "http://www.khanacademy.org/video/diffie-hellman-key-exchange--part-1", "duration": 272, "translated_title": "Public key cryptography: What is it?", "translated_description_html": "Why do we need public key cryptography?", "id": "1174169184", "description_html": "Why do we need public key cryptography?", "title": "Public key cryptography: What is it?", "progress_key": "v1174169184", "edit_slug": "edit/v/1174169184", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why do we need public key cryptography?", "extra_properties": {"original_url": ""}, "node_slug": "v/diffie-hellman-key-exchange--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-26T20:55:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ko62sibi668.mp4/ko62sibi668.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ko62sibi668.mp4/ko62sibi668.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ko62sibi668.m3u8/ko62sibi668.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ko62sibi668&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174169184", "sha": "305de1b0e456106626b591b6268cddde0518ce2d", "translated_description": "Why do we need public key cryptography?", "image_url": "https://img.youtube.com/vi/ko62sibi668/hqdefault.jpg", "youtube_id": "ko62sibi668", "content_kind": "Video", "readable_id": "diffie-hellman-key-exchange--part-1"}, {"translated_youtube_id": "bjWOG50PfdI", "relative_url": "/video/discrete-logarithm-problem", "has_questions": false, "keywords": "discrete logarithm, logarithm", "ka_url": "http://www.khanacademy.org/video/discrete-logarithm-problem", "duration": 116, "translated_title": "The discrete logarithm problem", "translated_description_html": "A mathematical lock using modular arithmetic", "id": "1174224696", "description_html": "A mathematical lock using modular arithmetic", "title": "The discrete logarithm problem", "progress_key": "v1174224696", "edit_slug": "edit/v/1174224696", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A mathematical lock using modular arithmetic", "extra_properties": null, "node_slug": "v/discrete-logarithm-problem", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-26T22:36:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bjWOG50PfdI.mp4/bjWOG50PfdI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bjWOG50PfdI.mp4/bjWOG50PfdI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bjWOG50PfdI.m3u8/bjWOG50PfdI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bjWOG50PfdI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174224696", "sha": "7ff9691bad4b273b8e88a656642dd11edff24b88", "translated_description": "A mathematical lock using modular arithmetic", "image_url": "https://img.youtube.com/vi/bjWOG50PfdI/hqdefault.jpg", "youtube_id": "bjWOG50PfdI", "content_kind": "Video", "readable_id": "discrete-logarithm-problem"}, {"translated_youtube_id": "dRUVG7YI1_k", "relative_url": "/video/diffie-hellman-key-exchange--part-2", "has_questions": false, "keywords": "diffie-hellman, public key, cryptography", "ka_url": "http://www.khanacademy.org/video/diffie-hellman-key-exchange--part-2", "duration": 139, "translated_title": "Diffie-hellman key exchange", "translated_description_html": "Walkthrough of Diffie-Hellman Key Exchange", "id": "1174406364", "description_html": "Walkthrough of Diffie-Hellman Key Exchange", "title": "Diffie-hellman key exchange", "progress_key": "v1174406364", "edit_slug": "edit/v/1174406364", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Walkthrough of Diffie-Hellman Key Exchange", "extra_properties": null, "node_slug": "v/diffie-hellman-key-exchange--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-26T22:37:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dRUVG7YI1_k.mp4/dRUVG7YI1_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dRUVG7YI1_k.mp4/dRUVG7YI1_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dRUVG7YI1_k.m3u8/dRUVG7YI1_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dRUVG7YI1_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174406364", "sha": "973aa195493ebfc195e04068a41e4c45fb6dae5d", "translated_description": "Walkthrough of Diffie-Hellman Key Exchange", "image_url": "https://img.youtube.com/vi/dRUVG7YI1_k/hqdefault.jpg", "youtube_id": "dRUVG7YI1_k", "content_kind": "Video", "readable_id": "diffie-hellman-key-exchange--part-2"}, {"translated_youtube_id": "dleUxfghd5I", "relative_url": "/video/intro-to-rsa-encryption", "has_questions": false, "keywords": "RSA, encryption, public key cryptography", "ka_url": "http://www.khanacademy.org/video/intro-to-rsa-encryption", "duration": 236, "translated_title": "RSA encryption: Step 1", "translated_description_html": "Introduction to why we would need RSA", "id": "1174223673", "description_html": "Introduction to why we would need RSA", "title": "RSA encryption: Step 1", "progress_key": "v1174223673", "edit_slug": "edit/v/1174223673", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to why we would need RSA", "extra_properties": null, "node_slug": "v/intro-to-rsa-encryption", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-26T22:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dleUxfghd5I.mp4/dleUxfghd5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dleUxfghd5I.mp4/dleUxfghd5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dleUxfghd5I.m3u8/dleUxfghd5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dleUxfghd5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174223673", "sha": "e8999d8e7eb262882328cde97d403430fe64b905", "translated_description": "Introduction to why we would need RSA", "image_url": "https://img.youtube.com/vi/dleUxfghd5I/hqdefault.jpg", "youtube_id": "dleUxfghd5I", "content_kind": "Video", "readable_id": "intro-to-rsa-encryption"}, {"translated_youtube_id": "j4KhCT6kJvY", "relative_url": "/video/rsa-encryption--step-2", "has_questions": false, "keywords": "trapdoor function, one-way function", "ka_url": "http://www.khanacademy.org/video/rsa-encryption--step-2", "duration": 145, "translated_title": "RSA encryption: Step 2", "translated_description_html": "Setting up a trapdoor one-way function", "id": "1174378584", "description_html": "Setting up a trapdoor one-way function", "title": "RSA encryption: Step 2", "progress_key": "v1174378584", "edit_slug": "edit/v/1174378584", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Setting up a trapdoor one-way function", "extra_properties": null, "node_slug": "v/rsa-encryption--step-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-26T22:38:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.mp4/j4KhCT6kJvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.mp4/j4KhCT6kJvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.m3u8/j4KhCT6kJvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j4KhCT6kJvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174378584", "sha": "6a67f8545181143d510af0f669877b43f253c549", "translated_description": "Setting up a trapdoor one-way function", "image_url": "https://img.youtube.com/vi/j4KhCT6kJvY/hqdefault.jpg", "youtube_id": "j4KhCT6kJvY", "content_kind": "Video", "readable_id": "rsa-encryption--step-2"}, {"translated_youtube_id": "wHiBGONmxwA", "relative_url": "/video/rsa-encryption--step-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rsa-encryption--step-3", "duration": 178, "translated_title": "RSA encryption: Step 3", "translated_description_html": "RSA Encryption (step 3)", "id": "1174307926", "description_html": "RSA Encryption (step 3)", "title": "RSA encryption: Step 3", "progress_key": "v1174307926", "edit_slug": "edit/v/1174307926", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "RSA Encryption (step 3)", "extra_properties": {"explore_url": "/labs/explorations/time-complexity"}, "node_slug": "v/rsa-encryption--step-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-26T22:38:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wHiBGONmxwA.mp4/wHiBGONmxwA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wHiBGONmxwA.mp4/wHiBGONmxwA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wHiBGONmxwA.m3u8/wHiBGONmxwA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wHiBGONmxwA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174307926", "sha": "f0289f0aa447c4d9ecbcbb3f059aaa6880648a43", "translated_description": "RSA Encryption (step 3)", "image_url": "https://img.youtube.com/vi/wHiBGONmxwA/hqdefault.jpg", "youtube_id": "wHiBGONmxwA", "content_kind": "Video", "readable_id": "rsa-encryption--step-3"}, {"translated_youtube_id": "Rp8-ZAHPbg4", "relative_url": "/video/euler-s-totient-function--phi-function", "has_questions": false, "keywords": "totient, phi function, euler,", "ka_url": "http://www.khanacademy.org/video/euler-s-totient-function--phi-function", "duration": 138, "translated_title": "Euler's totient function", "translated_description_html": "Measuring the divisibility of a number", "id": "1174381381", "description_html": "Measuring the divisibility of a number", "title": "Euler's totient function", "progress_key": "v1174381381", "edit_slug": "edit/v/1174381381", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Measuring the divisibility of a number", "extra_properties": null, "node_slug": "v/euler-s-totient-function--phi-function", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-26T22:40:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rp8-ZAHPbg4.mp4/Rp8-ZAHPbg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rp8-ZAHPbg4.mp4/Rp8-ZAHPbg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rp8-ZAHPbg4.m3u8/Rp8-ZAHPbg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rp8-ZAHPbg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174381381", "sha": "f5b03242ed91840efe47d999fe4bbe3659051379", "translated_description": "Measuring the divisibility of a number", "image_url": "https://img.youtube.com/vi/Rp8-ZAHPbg4/hqdefault.jpg", "youtube_id": "Rp8-ZAHPbg4", "content_kind": "Video", "readable_id": "euler-s-totient-function--phi-function"}, {"translated_youtube_id": "e_auEoqetec", "relative_url": "/video/rsa-encryption--part-4", "has_questions": false, "keywords": "rsa encryption", "ka_url": "http://www.khanacademy.org/video/rsa-encryption--part-4", "duration": 298, "translated_title": "RSA encryption: Step 4", "translated_description_html": "RSA worked example", "id": "1174496039", "description_html": "RSA worked example", "title": "RSA encryption: Step 4", "progress_key": "v1174496039", "edit_slug": "edit/v/1174496039", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "RSA worked example", "extra_properties": null, "node_slug": "v/rsa-encryption--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-26T22:40:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e_auEoqetec.mp4/e_auEoqetec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e_auEoqetec.mp4/e_auEoqetec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e_auEoqetec.m3u8/e_auEoqetec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e_auEoqetec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1174496039", "sha": "b75d18806f2259e20942752dd9a8fa3428f0d980", "translated_description": "RSA worked example", "image_url": "https://img.youtube.com/vi/e_auEoqetec/hqdefault.jpg", "youtube_id": "e_auEoqetec", "content_kind": "Video", "readable_id": "rsa-encryption--part-4"}, {"translated_youtube_id": "A9Km337z15k", "relative_url": "/video/checkpoint--advanced-lessons", "has_questions": false, "keywords": "brit cruise, cryptography", "ka_url": "http://www.khanacademy.org/video/checkpoint--advanced-lessons", "duration": 318, "translated_title": "What should we learn next?", "translated_description_html": "Help decide what's next! What do you want to learn?", "id": "951674691", "description_html": "Help decide what's next! What do you want to learn?", "title": "What should we learn next?", "progress_key": "v951674691", "edit_slug": "edit/v/951674691", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Help decide what's next! What do you want to learn?", "extra_properties": null, "node_slug": "v/checkpoint--advanced-lessons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-08T20:27:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A9Km337z15k.mp4/A9Km337z15k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A9Km337z15k.mp4/A9Km337z15k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A9Km337z15k.m3u8/A9Km337z15k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A9Km337z15k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v951674691", "sha": "876853dfa971457efdd268d886114a10f11a9a12", "translated_description": "Help decide what's next! What do you want to learn?", "image_url": "https://img.youtube.com/vi/A9Km337z15k/hqdefault.jpg", "youtube_id": "A9Km337z15k", "content_kind": "Video", "readable_id": "checkpoint--advanced-lessons"}], "twitter_url": "", "translated_description": "A new problem emerges in the 20th century. What happens if Alice and Bob can never meet to share a key in the first place?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A new problem emerges in the 20th century. What happens if Alice and Bob can never meet to share a key in the first place?", "x_pos": 0.0, "node_slug": "modern-crypt", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-26T13:32:47Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axefc31a1b", "topic_page_url": "/math/applied-math/cryptography/modern-crypt", "extended_slug": "math/applied-math/cryptography/modern-crypt", "slug": "modern-crypt", "tags": ["cryptography", "public%20key"], "kind": "Topic", "in_topic_browser": true, "sha": "239288e29d47b274277ecdb5f552536031a43d7a", "standalone_title": "Intro to Modern Cryptography", "y_pos": 0.0, "current_revision_key": "239288e29d47b274277ecdb5f552536031a43d7a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/modarithmetic", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/modarithmetic", "translated_standalone_title": "Modular arithmetic", "translated_title": "Modular arithmetic", "gplus_url": "", "id": "xab7b8cc1", "old_key_name": "74vAIXt2CxT3bwwraJlx3xZsJ7vPd7KfXz5SlXjI", "hide": false, "title": "Modular arithmetic", "child_data": [{"kind": "Article", "id": "x1343778b"}, {"kind": "Exercise", "id": "xcd0a6b16"}, {"kind": "Article", "id": "x2ea56a42"}, {"kind": "Exercise", "id": "x35d5de07"}, {"kind": "Article", "id": "x00da2b92"}, {"kind": "Article", "id": "x0b96127d"}, {"kind": "Article", "id": "x6e4e9757"}, {"kind": "Exercise", "id": "x0fb00c34"}, {"kind": "Article", "id": "xf15c7b9b"}, {"kind": "Exercise", "id": "x4f1b0de8"}, {"kind": "Article", "id": "x2ba82f52"}, {"kind": "Article", "id": "xfe886d6a"}, {"kind": "Scratchpad", "id": 1570960917}, {"kind": "Article", "id": "xf75855db"}], "children": [], "twitter_url": "", "translated_description": "This is a system of arithmetic for integers. These lessons provide a foundation for the mathematics presented in the Modern Cryptography tutorial.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is a system of arithmetic for integers. These lessons provide a foundation for the mathematics presented in the Modern Cryptography tutorial.", "x_pos": 0.0, "node_slug": "modarithmetic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T00:39:19Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axab7b8cc1", "topic_page_url": "/math/applied-math/cryptography/modarithmetic", "extended_slug": "math/applied-math/cryptography/modarithmetic", "slug": "modarithmetic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d05576438b1d2ca594c8049196854bc7eaf28e04", "standalone_title": "Modular arithmetic", "y_pos": 0.0, "current_revision_key": "d05576438b1d2ca594c8049196854bc7eaf28e04", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/comp-number-theory", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/comp-number-theory", "translated_standalone_title": "Primality Test", "translated_title": "Primality test", "gplus_url": "", "id": "xab669f88", "old_key_name": "WuJKk7a2_4T1gaoB1Bqlz_7Zuw9j3E_J0Gilf_IH", "hide": false, "title": "Primality test", "child_data": [{"kind": "Article", "id": "x6138911e"}, {"kind": "Video", "id": "xa9ad2ac7"}, {"kind": "Article", "id": "xdcef66b7"}, {"kind": "Scratchpad", "id": 1018672065}, {"kind": "Video", "id": 1057258249}, {"kind": "Scratchpad", "id": 1057243083}, {"kind": "Video", "id": 1184361314}, {"kind": "Scratchpad", "id": 1294689604}, {"kind": "Video", "id": 1057328491}, {"kind": "Scratchpad", "id": 1054863863}, {"kind": "Video", "id": 1098965286}, {"kind": "Scratchpad", "id": 1096543070}, {"kind": "Video", "id": 1098805994}, {"kind": "Scratchpad", "id": 1097515635}, {"kind": "Video", "id": 1119980008}, {"kind": "Scratchpad", "id": 1125572884}, {"kind": "Scratchpad", "id": 1132985154}, {"kind": "Video", "id": 1243559297}, {"kind": "Video", "id": 1339534424}], "children": [{"translated_youtube_id": "Zfv8QMfa27Q", "relative_url": "/video/primality-test-challenge", "has_questions": false, "keywords": "prime numbers", "ka_url": "http://www.khanacademy.org/video/primality-test-challenge", "duration": 65, "translated_title": "Primality test challenge", "translated_description_html": "", "id": "xa9ad2ac7", "description_html": "", "title": "Primality test challenge", "progress_key": "vxa9ad2ac7", "edit_slug": "edit/v/xa9ad2ac7", "author_names": ["Brit Cruise"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/primality-test-challenge", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-01T18:18:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zfv8QMfa27Q.mp4/Zfv8QMfa27Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zfv8QMfa27Q.mp4/Zfv8QMfa27Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zfv8QMfa27Q.m3u8/Zfv8QMfa27Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zfv8QMfa27Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa9ad2ac7", "sha": "d4589190b0eebf525f5f4c2148122b47c77b81f1", "translated_description": "", "image_url": "https://img.youtube.com/vi/Zfv8QMfa27Q/hqdefault.jpg", "youtube_id": "Zfv8QMfa27Q", "content_kind": "Video", "readable_id": "primality-test-challenge"}, {"translated_youtube_id": "Hj3fnXT07Rg", "relative_url": "/video/time-space-complexity--prime-number-adventure-part-2", "has_questions": false, "keywords": "computer, computation, algorithm, time complexity", "ka_url": "http://www.khanacademy.org/video/time-space-complexity--prime-number-adventure-part-2", "duration": 304, "translated_title": "Running time", "translated_description_html": "What is a computer? How should we define the time needed to execute an algorithm?", "id": "1057258249", "description_html": "What is a computer? How should we define the time needed to execute an algorithm?", "title": "Running time", "progress_key": "v1057258249", "edit_slug": "edit/v/1057258249", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is a computer? How should we define the time needed to execute an algorithm?", "extra_properties": null, "node_slug": "v/time-space-complexity--prime-number-adventure-part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-26T23:49:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hj3fnXT07Rg.mp4/Hj3fnXT07Rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hj3fnXT07Rg.mp4/Hj3fnXT07Rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hj3fnXT07Rg.m3u8/Hj3fnXT07Rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hj3fnXT07Rg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1057258249", "sha": "602d45b89850c2a823d706de884370a10587c104", "translated_description": "What is a computer? How should we define the time needed to execute an algorithm?", "image_url": "https://img.youtube.com/vi/Hj3fnXT07Rg/hqdefault.jpg", "youtube_id": "Hj3fnXT07Rg", "content_kind": "Video", "readable_id": "time-space-complexity--prime-number-adventure-part-2"}, {"translated_youtube_id": "Q4ihOCocaVw", "relative_url": "/video/what-is-computer-memory---prime-adventure-part-7", "has_questions": false, "keywords": "computer memory", "ka_url": "http://www.khanacademy.org/video/what-is-computer-memory---prime-adventure-part-7", "duration": 324, "translated_title": "Computer memory (space)", "translated_description_html": "What is the limit of computer memory?", "id": "1184361314", "description_html": "What is the limit of computer memory?", "title": "Computer memory (space)", "progress_key": "v1184361314", "edit_slug": "edit/v/1184361314", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is the limit of computer memory?", "extra_properties": null, "node_slug": "v/what-is-computer-memory---prime-adventure-part-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-30T01:08:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q4ihOCocaVw.mp4/Q4ihOCocaVw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q4ihOCocaVw.mp4/Q4ihOCocaVw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q4ihOCocaVw.m3u8/Q4ihOCocaVw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q4ihOCocaVw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1184361314", "sha": "a86de7b5969e300815e5e644f02f8f679219444a", "translated_description": "What is the limit of computer memory?", "image_url": "https://img.youtube.com/vi/Q4ihOCocaVw/hqdefault.jpg", "youtube_id": "Q4ihOCocaVw", "content_kind": "Video", "readable_id": "what-is-computer-memory---prime-adventure-part-7"}, {"translated_youtube_id": "98Wc6IoFpoc", "relative_url": "/video/algorithmic-efficiency", "has_questions": false, "keywords": "algorithms, algorithmic efficiency, time complexity", "ka_url": "http://www.khanacademy.org/video/algorithmic-efficiency", "duration": 522, "translated_title": "Algorithmic efficiency", "translated_description_html": "How can we improve the speed of a (deterministic) primality test?", "id": "1057328491", "description_html": "How can we improve the speed of a (deterministic) primality test?", "title": "Algorithmic efficiency", "progress_key": "v1057328491", "edit_slug": "edit/v/1057328491", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How can we improve the speed of a (deterministic) primality test?", "extra_properties": null, "node_slug": "v/algorithmic-efficiency", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-27T00:31:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/98Wc6IoFpoc.mp4/98Wc6IoFpoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/98Wc6IoFpoc.mp4/98Wc6IoFpoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/98Wc6IoFpoc.m3u8/98Wc6IoFpoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=98Wc6IoFpoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1057328491", "sha": "ae9a0ea2001315740b4f62f9051c28e7d33e3bac", "translated_description": "How can we improve the speed of a (deterministic) primality test?", "image_url": "https://img.youtube.com/vi/98Wc6IoFpoc/hqdefault.jpg", "youtube_id": "98Wc6IoFpoc", "content_kind": "Video", "readable_id": "algorithmic-efficiency"}, {"translated_youtube_id": "twrfyZPZkrQ", "relative_url": "/video/sieve-of-eratosthenes--prime-adventure-part-4", "has_questions": false, "keywords": "sieve, primality test, prime numbers, prime, eratosthenes", "ka_url": "http://www.khanacademy.org/video/sieve-of-eratosthenes--prime-adventure-part-4", "duration": 252, "translated_title": "Sieve of Eratosthenes", "translated_description_html": "Sieve of Eratosthenes allows us to generate a list of primes.", "id": "1098965286", "description_html": "Sieve of Eratosthenes allows us to generate a list of primes.", "title": "Sieve of Eratosthenes", "progress_key": "v1098965286", "edit_slug": "edit/v/1098965286", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sieve of Eratosthenes allows us to generate a list of primes.", "extra_properties": null, "node_slug": "v/sieve-of-eratosthenes--prime-adventure-part-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-21T23:45:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/twrfyZPZkrQ.mp4/twrfyZPZkrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/twrfyZPZkrQ.mp4/twrfyZPZkrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/twrfyZPZkrQ.m3u8/twrfyZPZkrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=twrfyZPZkrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1098965286", "sha": "eb63c5fceaabed195a3cc3df814444099f0f73ae", "translated_description": "Sieve of Eratosthenes allows us to generate a list of primes.", "image_url": "https://img.youtube.com/vi/twrfyZPZkrQ/hqdefault.jpg", "youtube_id": "twrfyZPZkrQ", "content_kind": "Video", "readable_id": "sieve-of-eratosthenes--prime-adventure-part-4"}, {"translated_youtube_id": "f4Gd_vhe_SU", "relative_url": "/video/trial-division-primality-test-using-a-sieve--prime-adventure-part-5", "has_questions": false, "keywords": "trial division, primality test, sieve", "ka_url": "http://www.khanacademy.org/video/trial-division-primality-test-using-a-sieve--prime-adventure-part-5", "duration": 322, "translated_title": "Primality test with sieve", "translated_description_html": "An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.", "id": "1098805994", "description_html": "An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.", "title": "Primality test with sieve", "progress_key": "v1098805994", "edit_slug": "edit/v/1098805994", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.", "extra_properties": null, "node_slug": "v/trial-division-primality-test-using-a-sieve--prime-adventure-part-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-21T23:46:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f4Gd_vhe_SU.mp4/f4Gd_vhe_SU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f4Gd_vhe_SU.mp4/f4Gd_vhe_SU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f4Gd_vhe_SU.m3u8/f4Gd_vhe_SU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f4Gd_vhe_SU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1098805994", "sha": "c8019ec392a3a53cebac1e56b00cd57c7642dc2e", "translated_description": "An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.", "image_url": "https://img.youtube.com/vi/f4Gd_vhe_SU/hqdefault.jpg", "youtube_id": "f4Gd_vhe_SU", "content_kind": "Video", "readable_id": "trial-division-primality-test-using-a-sieve--prime-adventure-part-5"}, {"translated_youtube_id": "3RfYfMjZ5w0", "relative_url": "/video/prime-number-theorem--the-density-of-primes", "has_questions": false, "keywords": "prime number, prime number theorem, prime density, natural logarithm", "ka_url": "http://www.khanacademy.org/video/prime-number-theorem--the-density-of-primes", "duration": 406, "translated_title": "The prime number theorem", "translated_description_html": "How can we estimate the number of primes up to x?", "id": "1119980008", "description_html": "How can we estimate the number of primes up to x?", "title": "The prime number theorem", "progress_key": "v1119980008", "edit_slug": "edit/v/1119980008", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How can we estimate the number of primes up to x?", "extra_properties": null, "node_slug": "v/prime-number-theorem--the-density-of-primes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-02T22:07:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3RfYfMjZ5w0.mp4/3RfYfMjZ5w0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3RfYfMjZ5w0.mp4/3RfYfMjZ5w0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3RfYfMjZ5w0.m3u8/3RfYfMjZ5w0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3RfYfMjZ5w0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1119980008", "sha": "5e62288f886fccd381244d6db47887a490921f5c", "translated_description": "How can we estimate the number of primes up to x?", "image_url": "https://img.youtube.com/vi/3RfYfMjZ5w0/hqdefault.jpg", "youtube_id": "3RfYfMjZ5w0", "content_kind": "Video", "readable_id": "prime-number-theorem--the-density-of-primes"}, {"translated_youtube_id": "MiqpLC0VWj4", "relative_url": "/video/time-space-tradeoff", "has_questions": false, "keywords": "time space tradeoff, memory limit", "ka_url": "http://www.khanacademy.org/video/time-space-tradeoff", "duration": 394, "translated_title": "Time space tradeoff", "translated_description_html": "what is our memory limit? How can save time at the expense of space?", "id": "1243559297", "description_html": "what is our memory limit? How can save time at the expense of space?", "title": "Time space tradeoff", "progress_key": "v1243559297", "edit_slug": "edit/v/1243559297", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "what is our memory limit? How can save time at the expense of space?", "extra_properties": null, "node_slug": "v/time-space-tradeoff", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-21T04:10:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MiqpLC0VWj4.mp4/MiqpLC0VWj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MiqpLC0VWj4.mp4/MiqpLC0VWj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MiqpLC0VWj4.m3u8/MiqpLC0VWj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MiqpLC0VWj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1243559297", "sha": "36649a6601d01befb8eb46a50bd2d042e277c9d2", "translated_description": "what is our memory limit? How can save time at the expense of space?", "image_url": "https://img.youtube.com/vi/MiqpLC0VWj4/hqdefault.jpg", "youtube_id": "MiqpLC0VWj4", "content_kind": "Video", "readable_id": "time-space-tradeoff"}, {"translated_youtube_id": "GE4_0gCoXi0", "relative_url": "/video/rsa-encryption-checkpoint", "has_questions": false, "keywords": "rsa encryption", "ka_url": "http://www.khanacademy.org/video/rsa-encryption-checkpoint", "duration": 424, "translated_title": "Summary (what's next?)", "translated_description_html": "Why is factorization hard, yet generating primes easy? Where do we go from here?", "id": "1339534424", "description_html": "Why is factorization hard, yet generating primes easy? Where do we go from here?", "title": "Summary (what's next?)", "progress_key": "v1339534424", "edit_slug": "edit/v/1339534424", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why is factorization hard, yet generating primes easy? Where do we go from here?", "extra_properties": null, "node_slug": "v/rsa-encryption-checkpoint", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-31T21:18:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GE4_0gCoXi0.mp4/GE4_0gCoXi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GE4_0gCoXi0.mp4/GE4_0gCoXi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GE4_0gCoXi0.m3u8/GE4_0gCoXi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GE4_0gCoXi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1339534424", "sha": "4d84f6664221215597295b3ab9a838b0ce24b663", "translated_description": "Why is factorization hard, yet generating primes easy? Where do we go from here?", "image_url": "https://img.youtube.com/vi/GE4_0gCoXi0/hqdefault.jpg", "youtube_id": "GE4_0gCoXi0", "content_kind": "Video", "readable_id": "rsa-encryption-checkpoint"}], "twitter_url": "", "translated_description": "Why do Primes make some problems fundamentally hard? Build machines to perform primality tests!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Why do Primes make some problems fundamentally hard? Build machines to perform primality tests!", "x_pos": 0.0, "node_slug": "comp-number-theory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-01T20:02:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axab669f88", "topic_page_url": "/math/applied-math/cryptography/comp-number-theory", "extended_slug": "math/applied-math/cryptography/comp-number-theory", "slug": "comp-number-theory", "tags": ["prime%20factorization", "primality", "algorithms", "number%20theory", "brit%20cruise", "prime%20numbers", "composite%20numbers"], "kind": "Topic", "in_topic_browser": true, "sha": "a51f50a477e1f345d87ad240c8e63636afbcd59d", "standalone_title": "Primality Test", "y_pos": 0.0, "current_revision_key": "a51f50a477e1f345d87ad240c8e63636afbcd59d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/cryptography/random-algorithms-probability", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/cryptography/random-algorithms-probability", "translated_standalone_title": "Randomized Algorithms", "translated_title": "Randomized algorithms", "gplus_url": "", "id": "x032b91e2", "old_key_name": "d_bBvCLoAdzzxdGGq4yzNs1U6RUlmBXlIB50yrJu", "hide": false, "title": "Randomized algorithms", "child_data": [{"kind": "Video", "id": 1308593756}, {"kind": "Video", "id": 1317894497}, {"kind": "Scratchpad", "id": 1329634761}, {"kind": "Video", "id": "x5b614fc1"}, {"kind": "Scratchpad", "id": 1456100613}, {"kind": "Video", "id": "x77e83a17"}, {"kind": "Video", "id": "x65b844aa"}, {"kind": "Scratchpad", "id": 1663470288}], "children": [{"translated_youtube_id": "GkSWotgd-Nc", "relative_url": "/video/randomized-algorithms--prime-adventure-part-8", "has_questions": false, "keywords": "random algorithms, randomized, algorithms", "ka_url": "http://www.khanacademy.org/video/randomized-algorithms--prime-adventure-part-8", "duration": 563, "translated_title": "Randomized algorithms (intro)", "translated_description_html": "How could random numbers speed up a decision algorithm?", "id": "1308593756", "description_html": "How could random numbers speed up a decision algorithm?", "title": "Randomized algorithms (intro)", "progress_key": "v1308593756", "edit_slug": "edit/v/1308593756", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How could random numbers speed up a decision algorithm?", "extra_properties": null, "node_slug": "v/randomized-algorithms--prime-adventure-part-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-21T09:48:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GkSWotgd-Nc.mp4/GkSWotgd-Nc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GkSWotgd-Nc.mp4/GkSWotgd-Nc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GkSWotgd-Nc.m3u8/GkSWotgd-Nc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GkSWotgd-Nc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1308593756", "sha": "315e50a9313f72ca44a969316e83eb9bc667718a", "translated_description": "How could random numbers speed up a decision algorithm?", "image_url": "https://img.youtube.com/vi/GkSWotgd-Nc/hqdefault.jpg", "youtube_id": "GkSWotgd-Nc", "content_kind": "Video", "readable_id": "randomized-algorithms--prime-adventure-part-8"}, {"translated_youtube_id": "Zxm4Xxvzohk", "relative_url": "/video/bayes-theorem-visualized", "has_questions": false, "keywords": "bayes theorem, conditional probability, probability", "ka_url": "http://www.khanacademy.org/video/bayes-theorem-visualized", "duration": 306, "translated_title": "Conditional probability (Bayes' theorem) visualized", "translated_description_html": "Conditional probability visualized using trees.", "id": "1317894497", "description_html": "Conditional probability visualized using trees.", "title": "Conditional probability (Bayes' theorem) visualized", "progress_key": "v1317894497", "edit_slug": "edit/v/1317894497", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Conditional probability visualized using trees.", "extra_properties": {"original_url": ""}, "node_slug": "v/bayes-theorem-visualized", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T07:55:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.mp4/Zxm4Xxvzohk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zxm4Xxvzohk.m3u8/Zxm4Xxvzohk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zxm4Xxvzohk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1317894497", "sha": "717b4dac747fffac41a778c3b3eecd35ef445603", "translated_description": "Conditional probability visualized using trees.", "image_url": "https://img.youtube.com/vi/Zxm4Xxvzohk/hqdefault.jpg", "youtube_id": "Zxm4Xxvzohk", "content_kind": "Video", "readable_id": "bayes-theorem-visualized"}, {"translated_youtube_id": "mTSdmDm0gRU", "relative_url": "/video/random-primality-test--prime-adventure-part-9", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/random-primality-test--prime-adventure-part-9", "duration": 306, "translated_title": "Random primality test (warm up)", "translated_description_html": "Introduction to random primality tests & how they will work (warm up).", "id": "x5b614fc1", "description_html": "Introduction to random primality tests & how they will work (warm up).", "title": "Random primality test (warm up)", "progress_key": "vx5b614fc1", "edit_slug": "edit/v/x5b614fc1", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to random primality tests & how they will work (warm up).", "extra_properties": {"original_url": ""}, "node_slug": "v/random-primality-test--prime-adventure-part-9", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-12T23:52:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mTSdmDm0gRU.mp4/mTSdmDm0gRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mTSdmDm0gRU.mp4/mTSdmDm0gRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mTSdmDm0gRU.m3u8/mTSdmDm0gRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mTSdmDm0gRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5b614fc1", "sha": "51f6636453789fc28bf9aa33954ad8ac646bbf02", "translated_description": "Introduction to random primality tests & how they will work (warm up).", "image_url": "https://img.youtube.com/vi/mTSdmDm0gRU/hqdefault.jpg", "youtube_id": "mTSdmDm0gRU", "content_kind": "Video", "readable_id": "random-primality-test--prime-adventure-part-9"}, {"translated_youtube_id": "XPMzosLWGHo", "relative_url": "/video/fermat-s-little-theorem--visualization", "has_questions": false, "keywords": "fermat's little theorem", "ka_url": "http://www.khanacademy.org/video/fermat-s-little-theorem--visualization", "duration": 366, "translated_title": "Fermat's little theorem", "translated_description_html": "Introduction to a key result in elementary number theory using a visualization with beads", "id": "x77e83a17", "description_html": "Introduction to a key result in elementary number theory using a visualization with beads", "title": "Fermat's little theorem", "progress_key": "vx77e83a17", "edit_slug": "edit/v/x77e83a17", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to a key result in elementary number theory using a visualization with beads", "extra_properties": {"original_url": ""}, "node_slug": "v/fermat-s-little-theorem--visualization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-09T15:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.mp4/XPMzosLWGHo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.mp4/XPMzosLWGHo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XPMzosLWGHo.m3u8/XPMzosLWGHo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XPMzosLWGHo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx77e83a17", "sha": "4a5cde09a1ee18ee70afe6f771f2f6d46a772c3b", "translated_description": "Introduction to a key result in elementary number theory using a visualization with beads", "image_url": "https://img.youtube.com/vi/XPMzosLWGHo/hqdefault.jpg", "youtube_id": "XPMzosLWGHo", "content_kind": "Video", "readable_id": "fermat-s-little-theorem--visualization"}, {"translated_youtube_id": "xMj3jzFDZ38", "relative_url": "/video/fermat-primality-test--prime-adventure-part-10", "has_questions": false, "keywords": "primes", "ka_url": "http://www.khanacademy.org/video/fermat-primality-test--prime-adventure-part-10", "duration": 429, "translated_title": "Fermat primality test", "translated_description_html": "A quick outline of how & why it works.", "id": "x65b844aa", "description_html": "A quick outline of how & why it works.", "title": "Fermat primality test", "progress_key": "vx65b844aa", "edit_slug": "edit/v/x65b844aa", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A quick outline of how & why it works.", "extra_properties": {"original_url": ""}, "node_slug": "v/fermat-primality-test--prime-adventure-part-10", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-05-21T04:46:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMj3jzFDZ38.mp4/xMj3jzFDZ38.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMj3jzFDZ38.mp4/xMj3jzFDZ38.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMj3jzFDZ38.m3u8/xMj3jzFDZ38.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xMj3jzFDZ38&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx65b844aa", "sha": "6734ac80eab34887ef6af6247d06f5a588ded7c7", "translated_description": "A quick outline of how & why it works.", "image_url": "https://img.youtube.com/vi/xMj3jzFDZ38/hqdefault.jpg", "youtube_id": "xMj3jzFDZ38", "content_kind": "Video", "readable_id": "fermat-primality-test--prime-adventure-part-10"}], "twitter_url": "", "translated_description": "Would access to coin flips speed up a primality test? How would this work?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Would access to coin flips speed up a primality test? How would this work?", "x_pos": 0.0, "node_slug": "random-algorithms-probability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax032b91e2", "topic_page_url": "/math/applied-math/cryptography/random-algorithms-probability", "extended_slug": "math/applied-math/cryptography/random-algorithms-probability", "slug": "random-algorithms-probability", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ba445daad323e5dd108373c29749bcb2d6c450b6", "standalone_title": "Randomized Algorithms", "y_pos": 0.0, "current_revision_key": "ba445daad323e5dd108373c29749bcb2d6c450b6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "How have humans protected their secret messages through history? What has changed today?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How have humans protected their secret messages through history? What has changed today?", "x_pos": 0.0, "node_slug": "cryptography", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-23T22:52:20Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax48c910b6", "topic_page_url": "/math/applied-math/cryptography", "extended_slug": "math/applied-math/cryptography", "slug": "cryptography", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "15765db73df48852d8dbc21260d2f6e1bacf0680", "standalone_title": "cryptography", "y_pos": 0.0, "current_revision_key": "15765db73df48852d8dbc21260d2f6e1bacf0680", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/informationtheory", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/informationtheory", "translated_standalone_title": "informationtheory", "translated_title": "Journey into information theory", "gplus_url": "", "id": "x3b93f104", "old_key_name": "N9CcTGGMjpfeBZV4Hi3H0O2D7zg5CipOzRe2nsjU", "hide": false, "title": "Journey into information theory", "child_data": [{"kind": "Topic", "id": "x7a50e3ab"}, {"kind": "Topic", "id": "x6a21eb18"}, {"kind": "Topic", "id": "xa6e1de9c"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/informationtheory/info-theory", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/informationtheory/info-theory", "translated_standalone_title": "Journey into Information Theory", "translated_title": "Ancient information theory", "gplus_url": "", "id": "x7a50e3ab", "old_key_name": "nCgWNS4tPJ-fctkuCe8wWvuD9m4QgA19tpCprKF1", "hide": false, "title": "Ancient information theory", "child_data": [{"kind": "Video", "id": 1038441165}, {"kind": "Video", "id": 1087251094}, {"kind": "Video", "id": 671459930}, {"kind": "Video", "id": 1166670884}, {"kind": "Video", "id": 1200813627}, {"kind": "Video", "id": 1292595017}, {"kind": "Scratchpad", "id": 1309746332}, {"kind": "Video", "id": 1384491099}, {"kind": "Video", "id": 1395994610}, {"kind": "Video", "id": 1425695127}, {"kind": "Scratchpad", "id": 1425715036}], "children": [{"translated_youtube_id": "p0ASFxKS9sg", "relative_url": "/video/intro-information-theory", "has_questions": false, "keywords": "information theory, brit cruise", "ka_url": "http://www.khanacademy.org/video/intro-information-theory", "duration": 206, "translated_title": "What is information theory?", "translated_description_html": "A broad introduction to this field of study", "id": "1038441165", "description_html": "A broad introduction to this field of study", "title": "What is information theory?", "progress_key": "v1038441165", "edit_slug": "edit/v/1038441165", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A broad introduction to this field of study", "extra_properties": null, "node_slug": "v/intro-information-theory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-15T14:38:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p0ASFxKS9sg.mp4/p0ASFxKS9sg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p0ASFxKS9sg.mp4/p0ASFxKS9sg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p0ASFxKS9sg.m3u8/p0ASFxKS9sg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p0ASFxKS9sg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1038441165", "sha": "bc4b32e131dd27b3010e976c720cfd80d262c96d", "translated_description": "A broad introduction to this field of study", "image_url": "https://img.youtube.com/vi/p0ASFxKS9sg/hqdefault.jpg", "youtube_id": "p0ASFxKS9sg", "content_kind": "Video", "readable_id": "intro-information-theory"}, {"translated_youtube_id": "69-YUSazuic", "relative_url": "/video/language-of-coins-2-8--proto-writing", "has_questions": false, "keywords": "information theory, brit cruise, alphabet, language, writing, phonetics, egypt, sumer", "ka_url": "http://www.khanacademy.org/video/language-of-coins-2-8--proto-writing", "duration": 440, "translated_title": "Prehistory: Proto-writing", "translated_description_html": "", "id": "1087251094", "description_html": "", "title": "Prehistory: Proto-writing", "progress_key": "v1087251094", "edit_slug": "edit/v/1087251094", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/language-of-coins-2-8--proto-writing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-14T23:51:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.mp4/69-YUSazuic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.mp4/69-YUSazuic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.m3u8/69-YUSazuic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=69-YUSazuic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1087251094", "sha": "3ebad911a333edd80fcb65eb3fe1fa294f3bc17c", "translated_description": "", "image_url": "https://img.youtube.com/vi/69-YUSazuic/hqdefault.jpg", "youtube_id": "69-YUSazuic", "content_kind": "Video", "readable_id": "language-of-coins-2-8--proto-writing"}, {"translated_youtube_id": "OFXY9-pec1I", "relative_url": "/video/rosetta-stone--196-b-c-e", "has_questions": false, "keywords": "rosetta stone, egypt, napoleon, smarthistory, art history, hieroglyphics, translation", "ka_url": "http://www.khanacademy.org/video/rosetta-stone--196-b-c-e", "duration": 236, "translated_title": "Ptolemaic: Rosetta Stone", "translated_description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671459930", "description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Ptolemaic: Rosetta Stone", "progress_key": "v671459930", "edit_slug": "edit/v/671459930", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/rosetta-stone.html"}, "node_slug": "v/rosetta-stone--196-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.m3u8/OFXY9-pec1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OFXY9-pec1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459930", "sha": "d7859da39ea6aac39634ff658433e44859ea0392", "translated_description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/OFXY9-pec1I/hqdefault.jpg", "youtube_id": "OFXY9-pec1I", "content_kind": "Video", "readable_id": "rosetta-stone--196-b-c-e"}, {"translated_youtube_id": "MM6BrZwkBRA", "relative_url": "/video/history-of-the-alphabet--language-of-coins--3-9", "has_questions": false, "keywords": "alphabet, history of alphabet, information theory, brit cruise", "ka_url": "http://www.khanacademy.org/video/history-of-the-alphabet--language-of-coins--3-9", "duration": 563, "translated_title": "Ancient history: The alphabet", "translated_description_html": "", "id": "1166670884", "description_html": "", "title": "Ancient history: The alphabet", "progress_key": "v1166670884", "edit_slug": "edit/v/1166670884", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/history-of-the-alphabet--language-of-coins--3-9", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-11-23T05:09:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.mp4/MM6BrZwkBRA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.mp4/MM6BrZwkBRA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.m3u8/MM6BrZwkBRA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MM6BrZwkBRA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1166670884", "sha": "4abcc47292d7e45982514ea07b740112f8880b0f", "translated_description": "", "image_url": "https://img.youtube.com/vi/MM6BrZwkBRA/hqdefault.jpg", "youtube_id": "MM6BrZwkBRA", "content_kind": "Video", "readable_id": "history-of-the-alphabet--language-of-coins--3-9"}, {"translated_youtube_id": "musBo7Kafic", "relative_url": "/video/source-encoding--language-of-coins--4-9", "has_questions": false, "keywords": "information theory, source coding, source encoding, probability", "ka_url": "http://www.khanacademy.org/video/source-encoding--language-of-coins--4-9", "duration": 357, "translated_title": "Source encoding", "translated_description_html": "Introduction to coding theory!", "id": "1200813627", "description_html": "Introduction to coding theory!", "title": "Source encoding", "progress_key": "v1200813627", "edit_slug": "edit/v/1200813627", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to coding theory!", "extra_properties": null, "node_slug": "v/source-encoding--language-of-coins--4-9", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-06T00:19:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/musBo7Kafic.mp4/musBo7Kafic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/musBo7Kafic.mp4/musBo7Kafic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/musBo7Kafic.m3u8/musBo7Kafic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=musBo7Kafic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1200813627", "sha": "9b61ad3b2c5c0fba92b2679e0ccdb62fe9ed57ff", "translated_description": "Introduction to coding theory!", "image_url": "https://img.youtube.com/vi/musBo7Kafic/hqdefault.jpg", "youtube_id": "musBo7Kafic", "content_kind": "Video", "readable_id": "source-encoding--language-of-coins--4-9"}, {"translated_youtube_id": "WrNDeYjcCJA", "relative_url": "/video/history-of-optical-telegraphs--language-of-coins--5-9", "has_questions": false, "keywords": "telegraph", "ka_url": "http://www.khanacademy.org/video/history-of-optical-telegraphs--language-of-coins--5-9", "duration": 560, "translated_title": "Visual telegraphs (case study)", "translated_description_html": "The history of visual telegraphs", "id": "1292595017", "description_html": "The history of visual telegraphs", "title": "Visual telegraphs (case study)", "progress_key": "v1292595017", "edit_slug": "edit/v/1292595017", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The history of visual telegraphs", "extra_properties": null, "node_slug": "v/history-of-optical-telegraphs--language-of-coins--5-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-15T01:25:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WrNDeYjcCJA.mp4/WrNDeYjcCJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WrNDeYjcCJA.mp4/WrNDeYjcCJA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WrNDeYjcCJA.m3u8/WrNDeYjcCJA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WrNDeYjcCJA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1292595017", "sha": "fe77cf525d63ec9bfa015765af31556c0fad4a80", "translated_description": "The history of visual telegraphs", "image_url": "https://img.youtube.com/vi/WrNDeYjcCJA/hqdefault.jpg", "youtube_id": "WrNDeYjcCJA", "content_kind": "Video", "readable_id": "history-of-optical-telegraphs--language-of-coins--5-9"}, {"translated_youtube_id": "3QLnosS853Q", "relative_url": "/video/history-of-static-electricity--language-of-coins--6-12", "has_questions": false, "keywords": "static electricity", "ka_url": "http://www.khanacademy.org/video/history-of-static-electricity--language-of-coins--6-12", "duration": 542, "translated_title": "Electrostatic telegraphs (case study)", "translated_description_html": "Long before the internet people thought about sending information along wires using static electricity.", "id": "1384491099", "description_html": "Long before the internet people thought about sending information along wires using static electricity.", "title": "Electrostatic telegraphs (case study)", "progress_key": "v1384491099", "edit_slug": "edit/v/1384491099", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Long before the internet people thought about sending information along wires using static electricity.", "extra_properties": {"original_url": ""}, "node_slug": "v/history-of-static-electricity--language-of-coins--6-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-16T14:35:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3QLnosS853Q.mp4/3QLnosS853Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3QLnosS853Q.mp4/3QLnosS853Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3QLnosS853Q.m3u8/3QLnosS853Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3QLnosS853Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1384491099", "sha": "4d033b497eb29cb893958949ffe65b50bd3df693", "translated_description": "Long before the internet people thought about sending information along wires using static electricity.", "image_url": "https://img.youtube.com/vi/3QLnosS853Q/hqdefault.jpg", "youtube_id": "3QLnosS853Q", "content_kind": "Video", "readable_id": "history-of-static-electricity--language-of-coins--6-12"}, {"translated_youtube_id": "8jlMuBn6Zow", "relative_url": "/video/the-battery-electromagnetism", "has_questions": false, "keywords": "battery, electromagnetism", "ka_url": "http://www.khanacademy.org/video/the-battery-electromagnetism", "duration": 386, "translated_title": "The battery and electromagnetism", "translated_description_html": "The key technologies in our story.", "id": "1395994610", "description_html": "The key technologies in our story.", "title": "The battery and electromagnetism", "progress_key": "v1395994610", "edit_slug": "edit/v/1395994610", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The key technologies in our story.", "extra_properties": {"original_url": ""}, "node_slug": "v/the-battery-electromagnetism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-20T15:20:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8jlMuBn6Zow.mp4/8jlMuBn6Zow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8jlMuBn6Zow.mp4/8jlMuBn6Zow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8jlMuBn6Zow.m3u8/8jlMuBn6Zow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8jlMuBn6Zow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1395994610", "sha": "23b24e88517f165c19761d0a12e03cbab60456a1", "translated_description": "The key technologies in our story.", "image_url": "https://img.youtube.com/vi/8jlMuBn6Zow/hqdefault.jpg", "youtube_id": "8jlMuBn6Zow", "content_kind": "Video", "readable_id": "the-battery-electromagnetism"}, {"translated_youtube_id": "xcjgm6ctzAw", "relative_url": "/video/morse-code---the-information-age--language-of-coins-8-12", "has_questions": false, "keywords": "morse code", "ka_url": "http://www.khanacademy.org/video/morse-code---the-information-age--language-of-coins-8-12", "duration": 599, "translated_title": "Morse code and the information age", "translated_description_html": "Electric Telegraphs and developments leading to Morse Code.", "id": "1425695127", "description_html": "Electric Telegraphs and developments leading to Morse Code.", "title": "Morse code and the information age", "progress_key": "v1425695127", "edit_slug": "edit/v/1425695127", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Electric Telegraphs and developments leading to Morse Code.", "extra_properties": {"original_url": ""}, "node_slug": "v/morse-code---the-information-age--language-of-coins-8-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-02T07:26:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xcjgm6ctzAw.mp4/xcjgm6ctzAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xcjgm6ctzAw.mp4/xcjgm6ctzAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xcjgm6ctzAw.m3u8/xcjgm6ctzAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xcjgm6ctzAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1425695127", "sha": "53ea1f2bbf743de9e300c2eb46abcd6ecb3ab508", "translated_description": "Electric Telegraphs and developments leading to Morse Code.", "image_url": "https://img.youtube.com/vi/xcjgm6ctzAw/hqdefault.jpg", "youtube_id": "xcjgm6ctzAw", "content_kind": "Video", "readable_id": "morse-code---the-information-age--language-of-coins-8-12"}], "twitter_url": "", "translated_description": "Explore the history of communication from signal fires to the Information Age", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Explore the history of communication from signal fires to the Information Age", "x_pos": 0.0, "node_slug": "info-theory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7a50e3ab", "topic_page_url": "/math/applied-math/informationtheory/info-theory", "extended_slug": "math/applied-math/informationtheory/info-theory", "slug": "info-theory", "tags": ["information%20theory", "brit%20cruise"], "kind": "Topic", "in_topic_browser": true, "sha": "071453568c3cd0518445f893ed748216480a757c", "standalone_title": "Journey into Information Theory", "y_pos": 0.0, "current_revision_key": "071453568c3cd0518445f893ed748216480a757c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/informationtheory/moderninfotheory", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/informationtheory/moderninfotheory", "translated_standalone_title": "Modern Information Theory", "translated_title": "Modern information theory", "gplus_url": "", "id": "x6a21eb18", "old_key_name": null, "hide": false, "title": "Modern information theory", "child_data": [{"kind": "Video", "id": "x855fe87a"}, {"kind": "Scratchpad", "id": 1528686552}, {"kind": "Video", "id": "xcbdaedb9"}, {"kind": "Video", "id": "xf28c646b"}, {"kind": "Scratchpad", "id": 1773222582}, {"kind": "Video", "id": "xc8498f37"}, {"kind": "Scratchpad", "id": 1746683168}, {"kind": "Video", "id": "xd6d19bb3"}, {"kind": "Scratchpad", "id": 1826822737}, {"kind": "Article", "id": "xda8a0996"}], "children": [{"translated_youtube_id": "8YLZ1A0du3o", "relative_url": "/video/symbol-rate--information-theory", "has_questions": false, "keywords": "symbol rate", "ka_url": "http://www.khanacademy.org/video/symbol-rate--information-theory", "duration": 285, "translated_title": "Symbol rate", "translated_description_html": "Introduction to Symbol Rate (Baud)", "id": "x855fe87a", "description_html": "Introduction to Symbol Rate (Baud)", "title": "Symbol rate", "progress_key": "vx855fe87a", "edit_slug": "edit/v/x855fe87a", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Symbol Rate (Baud)", "extra_properties": {"original_url": ""}, "node_slug": "v/symbol-rate--information-theory", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-04-07T04:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8YLZ1A0du3o.mp4/8YLZ1A0du3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8YLZ1A0du3o.mp4/8YLZ1A0du3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8YLZ1A0du3o.m3u8/8YLZ1A0du3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8YLZ1A0du3o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx855fe87a", "sha": "de968f051144297f90c41f0489e13decff62c136", "translated_description": "Introduction to Symbol Rate (Baud)", "image_url": "https://img.youtube.com/vi/8YLZ1A0du3o/hqdefault.jpg", "youtube_id": "8YLZ1A0du3o", "content_kind": "Video", "readable_id": "symbol-rate--information-theory"}, {"translated_youtube_id": "EWs_1tp-1e4", "relative_url": "/video/intro-to-channel-capacity--information-theory", "has_questions": false, "keywords": "channel capacity", "ka_url": "http://www.khanacademy.org/video/intro-to-channel-capacity--information-theory", "duration": 354, "translated_title": "Introduction to channel capacity", "translated_description_html": "Introduction to Channel Capacity & Message Space", "id": "xcbdaedb9", "description_html": "Introduction to Channel Capacity & Message Space", "title": "Introduction to channel capacity", "progress_key": "vxcbdaedb9", "edit_slug": "edit/v/xcbdaedb9", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Channel Capacity & Message Space", "extra_properties": {"original_url": ""}, "node_slug": "v/intro-to-channel-capacity--information-theory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-07T04:10:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EWs_1tp-1e4.mp4/EWs_1tp-1e4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EWs_1tp-1e4.mp4/EWs_1tp-1e4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EWs_1tp-1e4.m3u8/EWs_1tp-1e4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EWs_1tp-1e4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcbdaedb9", "sha": "e02f690f6ea364c51b6335d1cc5980f6441032ec", "translated_description": "Introduction to Channel Capacity & Message Space", "image_url": "https://img.youtube.com/vi/EWs_1tp-1e4/hqdefault.jpg", "youtube_id": "EWs_1tp-1e4", "content_kind": "Video", "readable_id": "intro-to-channel-capacity--information-theory"}, {"translated_youtube_id": "X40ft1Lt1f0", "relative_url": "/video/how-do-we-measure-information---language-of-coins-10-12", "has_questions": false, "keywords": "measure information", "ka_url": "http://www.khanacademy.org/video/how-do-we-measure-information---language-of-coins-10-12", "duration": 593, "translated_title": "Measuring information", "translated_description_html": "How can we quantify/measure an information source?", "id": "xf28c646b", "description_html": "How can we quantify/measure an information source?", "title": "Measuring information", "progress_key": "vxf28c646b", "edit_slug": "edit/v/xf28c646b", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How can we quantify/measure an information source?", "extra_properties": {"original_url": ""}, "node_slug": "v/how-do-we-measure-information---language-of-coins-10-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-31T19:11:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X40ft1Lt1f0.mp4/X40ft1Lt1f0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X40ft1Lt1f0.mp4/X40ft1Lt1f0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X40ft1Lt1f0.m3u8/X40ft1Lt1f0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X40ft1Lt1f0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf28c646b", "sha": "6d81e4cb91d78a0428601b61ea41b0f4cacea8fe", "translated_description": "How can we quantify/measure an information source?", "image_url": "https://img.youtube.com/vi/X40ft1Lt1f0/hqdefault.jpg", "youtube_id": "X40ft1Lt1f0", "content_kind": "Video", "readable_id": "how-do-we-measure-information---language-of-coins-10-12"}, {"translated_youtube_id": "o-jdJxXL_W4", "relative_url": "/video/markov_chains", "has_questions": false, "keywords": "markov chains", "ka_url": "http://www.khanacademy.org/video/markov_chains", "duration": 435, "translated_title": "Origin of Markov chains", "translated_description_html": "Introduction to Markov chains", "id": "xc8498f37", "description_html": "Introduction to Markov chains", "title": "Origin of Markov chains", "progress_key": "vxc8498f37", "edit_slug": "edit/v/xc8498f37", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Markov chains", "extra_properties": {"original_url": ""}, "node_slug": "v/markov_chains", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-27T18:40:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o-jdJxXL_W4.mp4/o-jdJxXL_W4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o-jdJxXL_W4.mp4/o-jdJxXL_W4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o-jdJxXL_W4.m3u8/o-jdJxXL_W4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o-jdJxXL_W4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc8498f37", "sha": "c93bde16e47deb5d8d85d9b8ec95af3bdf65e3f4", "translated_description": "Introduction to Markov chains", "image_url": "https://img.youtube.com/vi/o-jdJxXL_W4/hqdefault.jpg", "youtube_id": "o-jdJxXL_W4", "content_kind": "Video", "readable_id": "markov_chains"}, {"translated_youtube_id": "3pRR8OK4UfE", "relative_url": "/video/a-mathematical-theory-of-communication", "has_questions": false, "keywords": "markov chains", "ka_url": "http://www.khanacademy.org/video/a-mathematical-theory-of-communication", "duration": 242, "translated_title": "A mathematical theory of communication", "translated_description_html": "Claude Shannon demonstrated how to generate \"english looking\" text using Markov chains.", "id": "xd6d19bb3", "description_html": "Claude Shannon demonstrated how to generate \"english looking\" text using Markov chains.", "title": "A mathematical theory of communication", "progress_key": "vxd6d19bb3", "edit_slug": "edit/v/xd6d19bb3", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Claude Shannon demonstrated how to generate \"english looking\" text using Markov chains.", "extra_properties": {"original_url": ""}, "node_slug": "v/a-mathematical-theory-of-communication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-27T22:42:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3pRR8OK4UfE.mp4/3pRR8OK4UfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3pRR8OK4UfE.mp4/3pRR8OK4UfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3pRR8OK4UfE.m3u8/3pRR8OK4UfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3pRR8OK4UfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd6d19bb3", "sha": "d356f3da0db49e7a524edbc1dfc326e82b553cd6", "translated_description": "Claude Shannon demonstrated how to generate \"english looking\" text using Markov chains.", "image_url": "https://img.youtube.com/vi/3pRR8OK4UfE/hqdefault.jpg", "youtube_id": "3pRR8OK4UfE", "content_kind": "Video", "readable_id": "a-mathematical-theory-of-communication"}], "twitter_url": "", "translated_description": "Information Theory in the 20th Century", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Information Theory in the 20th Century", "x_pos": 0.0, "node_slug": "moderninfotheory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-26T18:46:52Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6a21eb18", "topic_page_url": "/math/applied-math/informationtheory/moderninfotheory", "extended_slug": "math/applied-math/informationtheory/moderninfotheory", "slug": "moderninfotheory", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1eb9748784d9e46e30bb9118c2f486cd64670a66", "standalone_title": "Modern Information Theory", "y_pos": 0.0, "current_revision_key": "1eb9748784d9e46e30bb9118c2f486cd64670a66", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We've always been communicating.... as we moved from signal fires, to alphabets & electricity the problems remained the same.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We've always been communicating.... as we moved from signal fires, to alphabets & electricity the problems remained the same.", "x_pos": 0.0, "node_slug": "informationtheory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3b93f104", "topic_page_url": "/math/applied-math/informationtheory", "extended_slug": "math/applied-math/informationtheory", "slug": "informationtheory", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7399d25c7a7fb517cd9ea80be526e0983c8bae50", "standalone_title": "informationtheory", "y_pos": 0.0, "current_revision_key": "7399d25c7a7fb517cd9ea80be526e0983c8bae50", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/applied_math_challenges", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/applied_math_challenges", "translated_standalone_title": "Challenges", "translated_title": "Challenges", "gplus_url": "", "id": "x4dca6357", "old_key_name": null, "hide": false, "title": "Challenges", "child_data": [{"kind": "Topic", "id": "x355061c5"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/applied-math/applied_math_challenges/cryptochallenge", "web_url": "", "ka_url": "http://www.khanacademy.org/math/applied-math/applied_math_challenges/cryptochallenge", "translated_standalone_title": "crypto challenge", "translated_title": "Cryptography challenge 101", "gplus_url": "", "id": "x355061c5", "old_key_name": "lu_inSzoEizlzVR1-pVqALthczE5JVv4rEVWn0Mh", "hide": false, "title": "Cryptography challenge 101", "child_data": [{"kind": "Article", "id": "xa7ef6897"}, {"kind": "Article", "id": "x9114c20a"}, {"kind": "Article", "id": "x41c0cb9f"}, {"kind": "Article", "id": "x17f1ba1b"}, {"kind": "Article", "id": "xd644ca6a"}, {"kind": "Exercise", "id": "xb4666e49"}, {"kind": "Article", "id": "x758eea38"}, {"kind": "Article", "id": "x7bb92a83"}, {"kind": "Exercise", "id": "x1f7158d0"}, {"kind": "Exercise", "id": "x61c09142"}, {"kind": "Article", "id": "xb8304341"}], "children": [], "twitter_url": "", "translated_description": "The first challenge in the Cryptography series", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The first challenge in the Cryptography series", "x_pos": 0.0, "node_slug": "cryptochallenge", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-26T18:46:52Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax355061c5", "topic_page_url": "/math/applied-math/applied_math_challenges/cryptochallenge", "extended_slug": "math/applied-math/applied_math_challenges/cryptochallenge", "slug": "cryptochallenge", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "219b2d3588146f81270b2695f8ea736f9a13b455", "standalone_title": "crypto challenge", "y_pos": 0.0, "current_revision_key": "219b2d3588146f81270b2695f8ea736f9a13b455", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Solve problems using Mathematics, Computer Science and more!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Solve problems using Mathematics, Computer Science and more!", "x_pos": 0.0, "node_slug": "applied_math_challenges", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4dca6357", "topic_page_url": "/math/applied-math/applied_math_challenges", "extended_slug": "math/applied-math/applied_math_challenges", "slug": "applied_math_challenges", "tags": ["problems", "challenges"], "kind": "Topic", "in_topic_browser": true, "sha": "b4cc7ab98d6f0deafcc84b567ae7807d30f81923", "standalone_title": "Challenges", "y_pos": 0.0, "current_revision_key": "b4cc7ab98d6f0deafcc84b567ae7807d30f81923", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Explore the greatest problems we have faced from prehistoric through modern times.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Explore the greatest problems we have faced from prehistoric through modern times.", "x_pos": 0.0, "node_slug": "applied-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-13T23:18:37Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax06f0ee4c", "topic_page_url": "/math/applied-math", "extended_slug": "math/applied-math", "slug": "applied-math", "tags": ["applied%20math"], "kind": "Topic", "in_topic_browser": true, "sha": "20d8f1ed32d3fbc6815bd4f12319a2f631c6cd83", "standalone_title": "Applied math", "y_pos": 0.0, "current_revision_key": "20d8f1ed32d3fbc6815bd4f12319a2f631c6cd83", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math", "translated_standalone_title": "Recreational math", "translated_title": "Recreational math", "gplus_url": "", "id": "xe7bbd8fa", "old_key_name": "F4f8TEpkv-nIPj7s9DbJgNDVS5ywewYV_SKhrqOQ", "hide": false, "title": "Recreational math", "child_data": [{"kind": "Topic", "id": "xf48ec4ac"}, {"kind": "Topic", "id": "xffb4773d"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart", "translated_standalone_title": "Vi Hart", "translated_title": "Doodling in Math and more", "gplus_url": "", "id": "xf48ec4ac", "old_key_name": "qCsfiingrloocbJrFNhnBBo-xA7W8EY9bWGimTaq", "hide": false, "title": "Doodling in Math and more", "child_data": [{"kind": "Topic", "id": "x452dbed3"}, {"kind": "Topic", "id": "xc6541a95"}, {"kind": "Topic", "id": "x1b47e16c"}, {"kind": "Topic", "id": "x0fc1ab8d"}, {"kind": "Topic", "id": "xde77a66e"}, {"kind": "Topic", "id": "x98b57e0e"}, {"kind": "Topic", "id": "x27df170e"}, {"kind": "Topic", "id": "x373e7082"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/spirals-fibonacci", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci", "translated_standalone_title": "Spirals, Fibonacci and being a plant", "translated_title": "Spirals, Fibonacci and being a plant", "gplus_url": "", "id": "x452dbed3", "old_key_name": "QuDuCqchkt3ouwxGUQj9zg8w389_amcdyvH8LFz6", "hide": false, "title": "Spirals, Fibonacci and being a plant", "child_data": [{"kind": "Video", "id": 537957955}, {"kind": "Video", "id": 537990401}, {"kind": "Video", "id": 537974533}, {"kind": "Video", "id": 728649651}, {"kind": "Video", "id": 538043431}], "children": [{"translated_youtube_id": "ahXIMUkSXX0", "relative_url": "/video/doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3", "has_questions": false, "keywords": "doodling, math, spirals, Fibonacci, sequence, series, plants, phyllotaxis, golden ratio, pine cones, flowers, vi hart", "ka_url": "http://www.khanacademy.org/video/doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3", "duration": 355, "translated_title": "Doodling in math: Spirals, Fibonacci, and being a plant [1 of 3]", "translated_description_html": "Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: http://youtu.be/gBxeju8dMho<\/a>", "id": "537957955", "description_html": "Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: http://youtu.be/gBxeju8dMho<\/a>", "title": "Doodling in math: Spirals, Fibonacci, and being a plant [1 of 3]", "progress_key": "v537957955", "edit_slug": "edit/v/537957955", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: http://youtu.be/gBxeju8dMho", "extra_properties": {"original_url": ""}, "node_slug": "v/doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:17:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ahXIMUkSXX0.mp4/ahXIMUkSXX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ahXIMUkSXX0.mp4/ahXIMUkSXX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ahXIMUkSXX0.m3u8/ahXIMUkSXX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ahXIMUkSXX0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537957955", "sha": "2a3da60edd1bbaaf8aef2b51c01eb42581bea0e3", "translated_description": "Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: http://youtu.be/gBxeju8dMho", "image_url": "https://img.youtube.com/vi/ahXIMUkSXX0/hqdefault.jpg", "youtube_id": "ahXIMUkSXX0", "content_kind": "Video", "readable_id": "doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3"}, {"translated_youtube_id": "lOIP_Z_-0Hs", "relative_url": "/video/doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3", "has_questions": false, "keywords": "doodling, mathematics, spirals, flowers, plants, phyllotaxis, fibonacci, golden ratio, phi", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3", "duration": 374, "translated_title": "Doodling in math: Spirals, Fibonacci, and being a plant [2 of 3]", "translated_description_html": "Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.", "id": "537990401", "description_html": "Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.", "title": "Doodling in math: Spirals, Fibonacci, and being a plant [2 of 3]", "progress_key": "v537990401", "edit_slug": "edit/v/537990401", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.", "extra_properties": null, "node_slug": "v/doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:18:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.mp4/lOIP_Z_-0Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.mp4/lOIP_Z_-0Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.m3u8/lOIP_Z_-0Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lOIP_Z_-0Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537990401", "sha": "c36a782d215dea397e4cdd6708d3994f6d56e58d", "translated_description": "Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.", "image_url": "https://img.youtube.com/vi/lOIP_Z_-0Hs/hqdefault.jpg", "youtube_id": "lOIP_Z_-0Hs", "content_kind": "Video", "readable_id": "doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3"}, {"translated_youtube_id": "14-NdQwKz9w", "relative_url": "/video/doodling-in-math--spirals--fibonacci--and-being-a-plant--part-3-of-3", "has_questions": false, "keywords": "fibonacci, plants, spirals, mathematics, algorithms, math, vi hart, phyllotaxis, golden ratio, lucas numbers", "ka_url": "http://www.khanacademy.org/video/doodling-in-math--spirals--fibonacci--and-being-a-plant--part-3-of-3", "duration": 367, "translated_title": "Doodling in math: Spirals, Fibonacci, and being a plant [3 of 3]", "translated_description_html": "Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&pg=PA113&lpg=PA113&dq=conway+phyllotaxis&source=bl&ots=-bTLzWkMtB&sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&hl=en&sa=X&ei=2afqTui9L6OUiAKapaC7BA&ved=0CCkQ6AEwAQ#v=onepage&q&f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/", "id": "537974533", "description_html": "Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&pg=PA113&lpg=PA113&dq=conway+phyllotaxis&source=bl&ots=-bTLzWkMtB&sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&hl=en&sa=X&ei=2afqTui9L6OUiAKapaC7BA&ved=0CCkQ6AEwAQ#v=onepage&q&f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/", "title": "Doodling in math: Spirals, Fibonacci, and being a plant [3 of 3]", "progress_key": "v537974533", "edit_slug": "edit/v/537974533", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&pg=PA113&lpg=PA113&dq=conway+phyllotaxis&source=bl&ots=-bTLzWkMtB&sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&hl=en&sa=X&ei=2afqTui9L6OUiAKapaC7BA&ved=0CCkQ6AEwAQ#v=onepage&q&f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/", "extra_properties": {"original_url": ""}, "node_slug": "v/doodling-in-math--spirals--fibonacci--and-being-a-plant--part-3-of-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:18:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/14-NdQwKz9w.mp4/14-NdQwKz9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/14-NdQwKz9w.mp4/14-NdQwKz9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/14-NdQwKz9w.m3u8/14-NdQwKz9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=14-NdQwKz9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537974533", "sha": "8c51583c79f2f1a4a30ee249321dd966d1a891da", "translated_description": "Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&pg=PA113&lpg=PA113&dq=conway+phyllotaxis&source=bl&ots=-bTLzWkMtB&sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&hl=en&sa=X&ei=2afqTui9L6OUiAKapaC7BA&ved=0CCkQ6AEwAQ#v=onepage&q&f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/", "image_url": "https://img.youtube.com/vi/14-NdQwKz9w/hqdefault.jpg", "youtube_id": "14-NdQwKz9w", "content_kind": "Video", "readable_id": "doodling-in-math--spirals--fibonacci--and-being-a-plant--part-3-of-3"}, {"translated_youtube_id": "gBxeju8dMho", "relative_url": "/video/open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea", "has_questions": false, "keywords": "spongebob, pineapple, nickelodeon, snail, squarepants, math, mathematics, fibonacci", "ka_url": "http://www.khanacademy.org/video/open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea", "duration": 118, "translated_title": "Open letter to Nickelodeon, re: SpongeBob's pineapple under the sea", "translated_description_html": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", "id": "728649651", "description_html": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", "title": "Open letter to Nickelodeon, re: SpongeBob's pineapple under the sea", "progress_key": "v728649651", "edit_slug": "edit/v/728649651", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", "extra_properties": null, "node_slug": "v/open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-18T00:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.m3u8/gBxeju8dMho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gBxeju8dMho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v728649651", "sha": "4315d8dc1d7ec8c07025a34b99c6acffd5822686", "translated_description": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", "image_url": "https://img.youtube.com/vi/gBxeju8dMho/hqdefault.jpg", "youtube_id": "gBxeju8dMho", "content_kind": "Video", "readable_id": "open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea"}, {"translated_youtube_id": "o6W6P8JZW0o", "relative_url": "/video/angle-a-trons", "has_questions": false, "keywords": "angle, a, trons", "ka_url": "http://www.khanacademy.org/video/angle-a-trons", "duration": 124, "translated_title": "Angle-a-trons", "translated_description_html": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", "id": "538043431", "description_html": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", "title": "Angle-a-trons", "progress_key": "v538043431", "edit_slug": "edit/v/538043431", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", "extra_properties": null, "node_slug": "v/angle-a-trons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-01-31T01:32:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.m3u8/o6W6P8JZW0o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o6W6P8JZW0o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538043431", "sha": "6ce1f8ea2db584a4b5f36f7f954e817b26b4651d", "translated_description": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", "image_url": "https://img.youtube.com/vi/o6W6P8JZW0o/hqdefault.jpg", "youtube_id": "o6W6P8JZW0o", "content_kind": "Video", "readable_id": "angle-a-trons"}], "twitter_url": "", "translated_description": "You're feeling spirally today, and math class today is taking place in greenhouse #3...", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're feeling spirally today, and math class today is taking place in greenhouse #3...", "x_pos": 0.0, "node_slug": "spirals-fibonacci", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax452dbed3", "topic_page_url": "/math/recreational-math/vi-hart/spirals-fibonacci", "extended_slug": "math/recreational-math/vi-hart/spirals-fibonacci", "slug": "spirals-fibonacci", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f04d03656f7a931d31139bf977401b337e0a6cd1", "standalone_title": "Spirals, Fibonacci and being a plant", "y_pos": 0.0, "current_revision_key": "f04d03656f7a931d31139bf977401b337e0a6cd1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/doodling-in-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/doodling-in-math", "translated_standalone_title": "Doodling in Math", "translated_title": "Doodling in math", "gplus_url": "", "id": "xc6541a95", "old_key_name": "Kq7bXgGu4Jtu-8Kvlx0NC1zugzTieWq058H78Vi-", "hide": false, "title": "Doodling in math", "child_data": [{"kind": "Video", "id": 537994428}, {"kind": "Video", "id": 538012397}, {"kind": "Video", "id": 538019273}, {"kind": "Video", "id": 537953973}, {"kind": "Video", "id": 538039386}, {"kind": "Video", "id": 994500389}, {"kind": "Video", "id": 538104060}, {"kind": "Video", "id": 538034158}, {"kind": "Video", "id": "x89e93a69"}, {"kind": "Video", "id": "x6493e13b"}, {"kind": "Video", "id": "x52364ea5"}], "children": [{"translated_youtube_id": "DK5Z709J2eo", "relative_url": "/video/doodling-in-math-class--infinity-elephants", "has_questions": false, "keywords": "math, doodles, mathematics, doodling, school, apollonian gasket, fractals, infinity, infinite series, elephants, mr tusks, puppy-sized elephant", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--infinity-elephants", "duration": 276, "translated_title": "Doodling in math: Infinity elephants", "translated_description_html": "More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "id": "537994428", "description_html": "More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "title": "Doodling in math: Infinity elephants", "progress_key": "v537994428", "edit_slug": "edit/v/537994428", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "extra_properties": null, "node_slug": "v/doodling-in-math-class--infinity-elephants", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:22:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DK5Z709J2eo.mp4/DK5Z709J2eo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DK5Z709J2eo.mp4/DK5Z709J2eo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DK5Z709J2eo.m3u8/DK5Z709J2eo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DK5Z709J2eo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537994428", "sha": "ca6447ced2d258b1db255e7dc5b086689f802df1", "translated_description": "More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "image_url": "https://img.youtube.com/vi/DK5Z709J2eo/hqdefault.jpg", "youtube_id": "DK5Z709J2eo", "content_kind": "Video", "readable_id": "doodling-in-math-class--infinity-elephants"}, {"translated_youtube_id": "CfJzrmS9UfY", "relative_url": "/video/doodling-in-math-class--stars", "has_questions": false, "keywords": "math, doodles, mathematics, doodling, school, stars, factoring, factors", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--stars", "duration": 238, "translated_title": "Doodling in math: Stars", "translated_description_html": "More videos/info: http://vihart.com/doodlingCheck out this cool star-making applet Ruurtjan sent me: http://stars.ruurtjan.comDoodling Infinity Elephants: http://www.youtube.com/watch?v=DK5Z709J2eoDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "id": "538012397", "description_html": "More videos/info: http://vihart.com/doodlingCheck out this cool star-making applet Ruurtjan sent me: http://stars.ruurtjan.comDoodling Infinity Elephants: http://www.youtube.com/watch?v=DK5Z709J2eoDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "title": "Doodling in math: Stars", "progress_key": "v538012397", "edit_slug": "edit/v/538012397", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More videos/info: http://vihart.com/doodlingCheck out this cool star-making applet Ruurtjan sent me: http://stars.ruurtjan.comDoodling Infinity Elephants: http://www.youtube.com/watch?v=DK5Z709J2eoDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "extra_properties": null, "node_slug": "v/doodling-in-math-class--stars", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:22:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.mp4/CfJzrmS9UfY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.mp4/CfJzrmS9UfY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.m3u8/CfJzrmS9UfY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CfJzrmS9UfY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538012397", "sha": "d5317b3576f8ae2f449efc4b30b9b09a10191928", "translated_description": "More videos/info: http://vihart.com/doodlingCheck out this cool star-making applet Ruurtjan sent me: http://stars.ruurtjan.comDoodling Infinity Elephants: http://www.youtube.com/watch?v=DK5Z709J2eoDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "image_url": "https://img.youtube.com/vi/CfJzrmS9UfY/hqdefault.jpg", "youtube_id": "CfJzrmS9UfY", "content_kind": "Video", "readable_id": "doodling-in-math-class--stars"}, {"translated_youtube_id": "e4MSN6IImpI", "relative_url": "/video/doodling-in-math-class--binary-trees", "has_questions": false, "keywords": "math, doodles, mathematics, doodling, school, sierpinski's triangle, cellular automata, binary trees", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--binary-trees", "duration": 228, "translated_title": "Doodling in math: Binary trees", "translated_description_html": "Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com", "id": "538019273", "description_html": "Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com", "title": "Doodling in math: Binary trees", "progress_key": "v538019273", "edit_slug": "edit/v/538019273", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com", "extra_properties": null, "node_slug": "v/doodling-in-math-class--binary-trees", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:22:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e4MSN6IImpI.mp4/e4MSN6IImpI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e4MSN6IImpI.mp4/e4MSN6IImpI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e4MSN6IImpI.m3u8/e4MSN6IImpI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e4MSN6IImpI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538019273", "sha": "24a5413e2410d79b077d6c258bfe2c44372210cb", "translated_description": "Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com", "image_url": "https://img.youtube.com/vi/e4MSN6IImpI/hqdefault.jpg", "youtube_id": "e4MSN6IImpI", "content_kind": "Video", "readable_id": "doodling-in-math-class--binary-trees"}, {"translated_youtube_id": "Yhlv5Aeuo_k", "relative_url": "/video/doodling-in-math--sick-number-games", "has_questions": false, "keywords": "math, numbers, doodling, ulam, spiral, pascal, triangle, math class", "ka_url": "http://www.khanacademy.org/video/doodling-in-math--sick-number-games", "duration": 328, "translated_title": "Doodling in math: Sick number games", "translated_description_html": "I don't even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", "id": "537953973", "description_html": "I don't even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", "title": "Doodling in math: Sick number games", "progress_key": "v537953973", "edit_slug": "edit/v/537953973", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "I don't even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", "extra_properties": null, "node_slug": "v/doodling-in-math--sick-number-games", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:24:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.m3u8/Yhlv5Aeuo_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yhlv5Aeuo_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537953973", "sha": "473b47368716d7ecd2e1e70fd1ab07ddc717774f", "translated_description": "I don't even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", "image_url": "https://img.youtube.com/vi/Yhlv5Aeuo_k/hqdefault.jpg", "youtube_id": "Yhlv5Aeuo_k", "content_kind": "Video", "readable_id": "doodling-in-math--sick-number-games"}, {"translated_youtube_id": "ik2CZqsAw28", "relative_url": "/video/doodling-in-math-class--squiggle-inception", "has_questions": false, "keywords": "squiggle, inception, doodling, math, mathematics, hilbert, curve, doodle, fractal, space-filling curve, vi hart", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--squiggle-inception", "duration": 326, "translated_title": "Doodling in math: Squiggle inception", "translated_description_html": "How to draw squiggles like a Hilbert.", "id": "538039386", "description_html": "How to draw squiggles like a Hilbert.", "title": "Doodling in math: Squiggle inception", "progress_key": "v538039386", "edit_slug": "edit/v/538039386", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to draw squiggles like a Hilbert.", "extra_properties": null, "node_slug": "v/doodling-in-math-class--squiggle-inception", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:38:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.m3u8/ik2CZqsAw28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ik2CZqsAw28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538039386", "sha": "79050de17458dd882f50c02e036eb2bbfe109215", "translated_description": "How to draw squiggles like a Hilbert.", "image_url": "https://img.youtube.com/vi/ik2CZqsAw28/hqdefault.jpg", "youtube_id": "ik2CZqsAw28", "content_kind": "Video", "readable_id": "doodling-in-math-class--squiggle-inception"}, {"translated_youtube_id": "v-pyuaThp-c", "relative_url": "/video/doodling-in-math-class--connecting-dots", "has_questions": false, "keywords": "mathematics, doodling, parabola, cardioid, conic section, hyperbola, ellipse, math, art", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--connecting-dots", "duration": 467, "translated_title": "Doodling in math: Connecting dots", "translated_description_html": "Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.", "id": "994500389", "description_html": "Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.", "title": "Doodling in math: Connecting dots", "progress_key": "v994500389", "edit_slug": "edit/v/994500389", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.", "extra_properties": null, "node_slug": "v/doodling-in-math-class--connecting-dots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-24T16:48:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.mp4/v-pyuaThp-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.mp4/v-pyuaThp-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.m3u8/v-pyuaThp-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v-pyuaThp-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v994500389", "sha": "69f774d22561e86e27af1b74a74fb3d2c3845643", "translated_description": "Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.", "image_url": "https://img.youtube.com/vi/v-pyuaThp-c/hqdefault.jpg", "youtube_id": "v-pyuaThp-c", "content_kind": "Video", "readable_id": "doodling-in-math-class--connecting-dots"}, {"translated_youtube_id": "o6KlpIWhbcw", "relative_url": "/video/doodling-in-math-class--triangle-party", "has_questions": false, "keywords": "doodling, mathematics, fractals, math, triangles, trigonometry, koch, vi hart, doodle, geometry, Triangle", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--triangle-party", "duration": 265, "translated_title": "Doodling in math: Triangle party", "translated_description_html": "Triangles!", "id": "538104060", "description_html": "Triangles!", "title": "Doodling in math: Triangle party", "progress_key": "v538104060", "edit_slug": "edit/v/538104060", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Triangles!", "extra_properties": null, "node_slug": "v/doodling-in-math-class--triangle-party", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:39:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.m3u8/o6KlpIWhbcw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o6KlpIWhbcw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538104060", "sha": "b4c42b834b61f80e7aeb284852c4c51e42339b35", "translated_description": "Triangles!", "image_url": "https://img.youtube.com/vi/o6KlpIWhbcw/hqdefault.jpg", "youtube_id": "o6KlpIWhbcw", "content_kind": "Video", "readable_id": "doodling-in-math-class--triangle-party"}, {"translated_youtube_id": "heKK95DAKms", "relative_url": "/video/doodling-in-math-class--snakes---graphs", "has_questions": false, "keywords": "math, doodles, mathematics, doodling, school, stars, graph theory, borromean rings, ouroboros, snakes, dark mark, topology, knot theory", "ka_url": "http://www.khanacademy.org/video/doodling-in-math-class--snakes---graphs", "duration": 265, "translated_title": "Doodling in math: Snakes and graphs", "translated_description_html": "More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "id": "538034158", "description_html": "More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "title": "Doodling in math: Snakes and graphs", "progress_key": "v538034158", "edit_slug": "edit/v/538034158", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "extra_properties": null, "node_slug": "v/doodling-in-math-class--snakes---graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:23:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/heKK95DAKms.mp4/heKK95DAKms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/heKK95DAKms.mp4/heKK95DAKms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/heKK95DAKms.m3u8/heKK95DAKms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=heKK95DAKms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538034158", "sha": "7cdb9aa5f73f1a5421a8fa65bfe08542595f7ff0", "translated_description": "More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com", "image_url": "https://img.youtube.com/vi/heKK95DAKms/hqdefault.jpg", "youtube_id": "heKK95DAKms", "content_kind": "Video", "readable_id": "doodling-in-math-class--snakes---graphs"}, {"translated_youtube_id": "EdyociU35u8", "relative_url": "/video/dragons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dragons", "duration": 474, "translated_title": "Doodling in math: Dragons", "translated_description_html": "", "id": "x89e93a69", "description_html": "", "title": "Doodling in math: Dragons", "progress_key": "vx89e93a69", "edit_slug": "edit/v/x89e93a69", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dragons", "deleted": false, "backup_timestamp": "2013-11-22T23:57:54Z", "date_added": "2013-11-22T23:57:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EdyociU35u8.mp4/EdyociU35u8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EdyociU35u8.mp4/EdyociU35u8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EdyociU35u8.m3u8/EdyociU35u8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EdyociU35u8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx89e93a69", "sha": "23db75560264e1240cd34f485987c16943adb878", "translated_description": "", "image_url": "https://img.youtube.com/vi/EdyociU35u8/hqdefault.jpg", "youtube_id": "EdyociU35u8", "content_kind": "Video", "readable_id": "dragons"}, {"translated_youtube_id": "dsvLLKQCxeA", "relative_url": "/video/dragondungeons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dragondungeons", "duration": 560, "translated_title": "Doodling in math: Dragon dungeons", "translated_description_html": "", "id": "x6493e13b", "description_html": "", "title": "Doodling in math: Dragon dungeons", "progress_key": "vx6493e13b", "edit_slug": "edit/v/x6493e13b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dragondungeons", "deleted": false, "backup_timestamp": "2013-11-22T23:57:54Z", "date_added": "2013-11-22T23:57:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dsvLLKQCxeA.mp4/dsvLLKQCxeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dsvLLKQCxeA.mp4/dsvLLKQCxeA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dsvLLKQCxeA.m3u8/dsvLLKQCxeA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dsvLLKQCxeA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6493e13b", "sha": "95e4bc16cbd5a38c871e00d50a602861e2c0519b", "translated_description": "", "image_url": "https://img.youtube.com/vi/dsvLLKQCxeA/hqdefault.jpg", "youtube_id": "dsvLLKQCxeA", "content_kind": "Video", "readable_id": "dragondungeons"}, {"translated_youtube_id": "Oc8sWN_jNF4", "relative_url": "/video/dragonscales", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dragonscales", "duration": 483, "translated_title": "Doodling in math: Dragon scales", "translated_description_html": "", "id": "x52364ea5", "description_html": "", "title": "Doodling in math: Dragon scales", "progress_key": "vx52364ea5", "edit_slug": "edit/v/x52364ea5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dragonscales", "deleted": false, "backup_timestamp": "2013-11-22T23:57:54Z", "date_added": "2013-11-22T23:57:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oc8sWN_jNF4.mp4/Oc8sWN_jNF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oc8sWN_jNF4.mp4/Oc8sWN_jNF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oc8sWN_jNF4.m3u8/Oc8sWN_jNF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oc8sWN_jNF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx52364ea5", "sha": "34a1db8284e6953c2ab46e88bf520a424f15de43", "translated_description": "", "image_url": "https://img.youtube.com/vi/Oc8sWN_jNF4/hqdefault.jpg", "youtube_id": "Oc8sWN_jNF4", "content_kind": "Video", "readable_id": "dragonscales"}], "twitter_url": "", "translated_description": "Let's say you're me and you're in math class…", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's say you're me and you're in math class…", "x_pos": 0.0, "node_slug": "doodling-in-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc6541a95", "topic_page_url": "/math/recreational-math/vi-hart/doodling-in-math", "extended_slug": "math/recreational-math/vi-hart/doodling-in-math", "slug": "doodling-in-math", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9d0392aa4fdb900e16f59d3dd1cb8bc70e43b5c1", "standalone_title": "Doodling in Math", "y_pos": 0.0, "current_revision_key": "9d0392aa4fdb900e16f59d3dd1cb8bc70e43b5c1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/hexaflexagons", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/hexaflexagons", "translated_standalone_title": "Hexaflexagons", "translated_title": "Hexaflexagons", "gplus_url": "", "id": "x1b47e16c", "old_key_name": "KSiLMX8pNeEbzAzQ99D9saXxBz4IKpKHZumfFxM8", "hide": false, "title": "Hexaflexagons", "child_data": [{"kind": "Video", "id": 1064685143}, {"kind": "Video", "id": 1076084869}, {"kind": "Video", "id": 1088148940}, {"kind": "Video", "id": 1164411134}], "children": [{"translated_youtube_id": "VIVIegSt81k", "relative_url": "/video/hexaflexagons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hexaflexagons", "duration": 248, "translated_title": "Hexaflexagons", "translated_description_html": "Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.", "id": "1064685143", "description_html": "Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.", "title": "Hexaflexagons", "progress_key": "v1064685143", "edit_slug": "edit/v/1064685143", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.", "extra_properties": null, "node_slug": "v/hexaflexagons", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-01T17:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.m3u8/VIVIegSt81k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VIVIegSt81k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064685143", "sha": "9c60ad2cc9907591d0d7c967d09a5c55b364528b", "translated_description": "Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.", "image_url": "https://img.youtube.com/vi/VIVIegSt81k/hqdefault.jpg", "youtube_id": "VIVIegSt81k", "content_kind": "Video", "readable_id": "hexaflexagons"}, {"translated_youtube_id": "paQ10POrZh8", "relative_url": "/video/hexaflexagons-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hexaflexagons-2", "duration": 285, "translated_title": "Hexaflexagons 2", "translated_description_html": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.", "id": "1076084869", "description_html": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.", "title": "Hexaflexagons 2", "progress_key": "v1076084869", "edit_slug": "edit/v/1076084869", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.", "extra_properties": null, "node_slug": "v/hexaflexagons-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-08T16:56:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.mp4/paQ10POrZh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.mp4/paQ10POrZh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.m3u8/paQ10POrZh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=paQ10POrZh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1076084869", "sha": "561d68a976279f02529c69a43e03616e1334ca45", "translated_description": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.", "image_url": "https://img.youtube.com/vi/paQ10POrZh8/hqdefault.jpg", "youtube_id": "paQ10POrZh8", "content_kind": "Video", "readable_id": "hexaflexagons-2"}, {"translated_youtube_id": "AmN0YyaTD60", "relative_url": "/video/hexaflexagon-safety-guide", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hexaflexagon-safety-guide", "duration": 249, "translated_title": "Hexaflexagon safety guide", "translated_description_html": "Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", "id": "1088148940", "description_html": "Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", "title": "Hexaflexagon safety guide", "progress_key": "v1088148940", "edit_slug": "edit/v/1088148940", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", "extra_properties": null, "node_slug": "v/hexaflexagon-safety-guide", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-15T17:30:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.m3u8/AmN0YyaTD60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AmN0YyaTD60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1088148940", "sha": "844413c8d246f4a19e62a14a38847bdb93c5a090", "translated_description": "Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", "image_url": "https://img.youtube.com/vi/AmN0YyaTD60/hqdefault.jpg", "youtube_id": "AmN0YyaTD60", "content_kind": "Video", "readable_id": "hexaflexagon-safety-guide"}, {"translated_youtube_id": "GTwrVAbV56o", "relative_url": "/video/flex-mex", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/flex-mex", "duration": 165, "translated_title": "Flex Mex", "translated_description_html": "Might as well.", "id": "1164411134", "description_html": "Might as well.", "title": "Flex Mex", "progress_key": "v1164411134", "edit_slug": "edit/v/1164411134", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Might as well.", "extra_properties": null, "node_slug": "v/flex-mex", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-21T22:29:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.m3u8/GTwrVAbV56o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GTwrVAbV56o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164411134", "sha": "21463cdd7270522b51817083188e0c37cdea3255", "translated_description": "Might as well.", "image_url": "https://img.youtube.com/vi/GTwrVAbV56o/hqdefault.jpg", "youtube_id": "GTwrVAbV56o", "content_kind": "Video", "readable_id": "flex-mex"}], "twitter_url": "", "translated_description": "Since it's shaped like a hexagon and flex rhymes with hex, hexaflexagon it is!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Since it's shaped like a hexagon and flex rhymes with hex, hexaflexagon it is!", "x_pos": 0.0, "node_slug": "hexaflexagons", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1b47e16c", "topic_page_url": "/math/recreational-math/vi-hart/hexaflexagons", "extended_slug": "math/recreational-math/vi-hart/hexaflexagons", "slug": "hexaflexagons", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd7717134bc67953eaa1345e514d45cc4ce49276", "standalone_title": "Hexaflexagons", "y_pos": 0.0, "current_revision_key": "bd7717134bc67953eaa1345e514d45cc4ce49276", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/pi-tau", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/pi-tau", "translated_standalone_title": "About pi and tau", "translated_title": "About pi and tau", "gplus_url": "", "id": "x0fc1ab8d", "old_key_name": "v1WaFVbDgZ_bJOeswTSNEPVnFOdWJO9Of7VDMBCg", "hide": false, "title": "About pi and tau", "child_data": [{"kind": "Video", "id": 877506826}, {"kind": "Video", "id": 538086220}, {"kind": "Video", "id": 756416991}, {"kind": "Video", "id": 656321710}], "children": [{"translated_youtube_id": "FtxmFlMLYRI", "relative_url": "/video/a-song-about-a-circle-constant", "has_questions": false, "keywords": "tau, pi, circles, tau day, song, math", "ka_url": "http://www.khanacademy.org/video/a-song-about-a-circle-constant", "duration": 229, "translated_title": "A song about a circle constant", "translated_description_html": "Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/", "id": "877506826", "description_html": "Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/", "title": "A song about a circle constant", "progress_key": "v877506826", "edit_slug": "edit/v/877506826", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/", "extra_properties": null, "node_slug": "v/a-song-about-a-circle-constant", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-06-28T17:41:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.mp4/FtxmFlMLYRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.mp4/FtxmFlMLYRI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.m3u8/FtxmFlMLYRI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FtxmFlMLYRI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v877506826", "sha": "2c9ebaa1f712941b941d1b9eebe5e90be56c5011", "translated_description": "Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/", "image_url": "https://img.youtube.com/vi/FtxmFlMLYRI/hqdefault.jpg", "youtube_id": "FtxmFlMLYRI", "content_kind": "Video", "readable_id": "a-song-about-a-circle-constant"}, {"translated_youtube_id": "jG7vhMMXagQ", "relative_url": "/video/pi-is--still--wrong", "has_questions": false, "keywords": "pi, tau, pie, pi day, trigonometry, trig, math, mathematics, Magritte, charlie sheen", "ka_url": "http://www.khanacademy.org/video/pi-is--still--wrong", "duration": 317, "translated_title": "Pi is (still) wrong.", "translated_description_html": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "id": "538086220", "description_html": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "title": "Pi is (still) wrong.", "progress_key": "v538086220", "edit_slug": "edit/v/538086220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "extra_properties": {"original_url": ""}, "node_slug": "v/pi-is--still--wrong", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:36:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.m3u8/jG7vhMMXagQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jG7vhMMXagQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538086220", "sha": "cd85548e85b8ae6d7be6b27b54446df7226143b5", "translated_description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", "image_url": "https://img.youtube.com/vi/jG7vhMMXagQ/hqdefault.jpg", "youtube_id": "jG7vhMMXagQ", "content_kind": "Video", "readable_id": "pi-is--still--wrong"}, {"translated_youtube_id": "D2xYjiL8yyE", "relative_url": "/video/rhapsody-on-the-proof-of-pi---4", "has_questions": false, "keywords": "mathematics, graphs, infinity, fractals, polygons, doodling, vi hart", "ka_url": "http://www.khanacademy.org/video/rhapsody-on-the-proof-of-pi---4", "duration": 356, "translated_title": "Rhapsody on the proof of pi = 4", "translated_description_html": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", "id": "756416991", "description_html": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", "title": "Rhapsody on the proof of pi = 4", "progress_key": "v756416991", "edit_slug": "edit/v/756416991", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", "extra_properties": null, "node_slug": "v/rhapsody-on-the-proof-of-pi---4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-05-01T18:27:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.m3u8/D2xYjiL8yyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D2xYjiL8yyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v756416991", "sha": "0c43eadb3d3457152d55bcf14da3fe68249b3c0e", "translated_description": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", "image_url": "https://img.youtube.com/vi/D2xYjiL8yyE/hqdefault.jpg", "youtube_id": "D2xYjiL8yyE", "content_kind": "Video", "readable_id": "rhapsody-on-the-proof-of-pi---4"}, {"translated_youtube_id": "uXoh6vi6J5U", "relative_url": "/video/are-shakespeare-s-plays-encoded-within-pi", "has_questions": false, "keywords": "pi, pi day, shakespeare, sonnets, mathematics, normal numbers", "ka_url": "http://www.khanacademy.org/video/are-shakespeare-s-plays-encoded-within-pi", "duration": 226, "translated_title": "Are Shakespeare's plays encoded within pi?", "translated_description_html": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", "id": "656321710", "description_html": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", "title": "Are Shakespeare's plays encoded within pi?", "progress_key": "v656321710", "edit_slug": "edit/v/656321710", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", "extra_properties": null, "node_slug": "v/are-shakespeare-s-plays-encoded-within-pi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-14T20:23:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.m3u8/uXoh6vi6J5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uXoh6vi6J5U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v656321710", "sha": "9997c254ec579ab7019c6ecdbb2ce166600189d1", "translated_description": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", "image_url": "https://img.youtube.com/vi/uXoh6vi6J5U/hqdefault.jpg", "youtube_id": "uXoh6vi6J5U", "content_kind": "Video", "readable_id": "are-shakespeare-s-plays-encoded-within-pi"}], "twitter_url": "", "translated_description": "When you want to make a circle, how is it done? Well you probably will start with the radius one.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When you want to make a circle, how is it done? Well you probably will start with the radius one.", "x_pos": 0.0, "node_slug": "pi-tau", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0fc1ab8d", "topic_page_url": "/math/recreational-math/vi-hart/pi-tau", "extended_slug": "math/recreational-math/vi-hart/pi-tau", "slug": "pi-tau", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6ae51b6a2c43c5ec72bbe68307e6ee3b9ca7579b", "standalone_title": "About pi and tau", "y_pos": 0.0, "current_revision_key": "6ae51b6a2c43c5ec72bbe68307e6ee3b9ca7579b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/singing", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/singing", "translated_standalone_title": "Singing (and noises)", "translated_title": "Singing (and noises)", "gplus_url": "", "id": "xde77a66e", "old_key_name": "B-EZRalGRLfHSvQcc0pUzW8BCmqjMlc-8neY9wNK", "hide": false, "title": "Singing (and noises)", "child_data": [{"kind": "Video", "id": 756692482}, {"kind": "Video", "id": 538061176}, {"kind": "Video", "id": 538105060}, {"kind": "Video", "id": "xf320cb16"}], "children": [{"translated_youtube_id": "Av_Us6xHkUc", "relative_url": "/video/doodle-music", "has_questions": false, "keywords": "doodling, mathematics, art, pattern, symmetry, frieze, music, doodle", "ka_url": "http://www.khanacademy.org/video/doodle-music", "duration": 235, "translated_title": "Doodle music", "translated_description_html": "A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.", "id": "756692482", "description_html": "A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.", "title": "Doodle music", "progress_key": "v756692482", "edit_slug": "edit/v/756692482", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.", "extra_properties": null, "node_slug": "v/doodle-music", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-01T18:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.mp4/Av_Us6xHkUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.mp4/Av_Us6xHkUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.m3u8/Av_Us6xHkUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Av_Us6xHkUc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v756692482", "sha": "6d711173d20e010cfe4900fdd35b212242509d80", "translated_description": "A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.", "image_url": "https://img.youtube.com/vi/Av_Us6xHkUc/hqdefault.jpg", "youtube_id": "Av_Us6xHkUc", "content_kind": "Video", "readable_id": "doodle-music"}, {"translated_youtube_id": "OCYZTg3jahU", "relative_url": "/video/binary-hand-dance", "has_questions": false, "keywords": "mathematics, pi, binary", "ka_url": "http://www.khanacademy.org/video/binary-hand-dance", "duration": 148, "translated_title": "Binary hand dance", "translated_description_html": "Thanks to my bro for the music! He's at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.", "id": "538061176", "description_html": "Thanks to my bro for the music! He's at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.", "title": "Binary hand dance", "progress_key": "v538061176", "edit_slug": "edit/v/538061176", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thanks to my bro for the music! He's at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.", "extra_properties": null, "node_slug": "v/binary-hand-dance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.mp4/OCYZTg3jahU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.mp4/OCYZTg3jahU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.m3u8/OCYZTg3jahU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OCYZTg3jahU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538061176", "sha": "fae4ba3d14c03cf3ab01c3f18527de4b596354b5", "translated_description": "Thanks to my bro for the music! He's at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.", "image_url": "https://img.youtube.com/vi/OCYZTg3jahU/hqdefault.jpg", "youtube_id": "OCYZTg3jahU", "content_kind": "Video", "readable_id": "binary-hand-dance"}, {"translated_youtube_id": "i_0DXxNeaQ0", "relative_url": "/video/what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch", "has_questions": false, "keywords": "science, mathematics, sound, pitch, frequency, audio, ears, sound wave, music", "ka_url": "http://www.khanacademy.org/video/what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch", "duration": 769, "translated_title": "What is up with noises? (The science and mathematics of sound, frequency, and pitch)", "translated_description_html": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", "id": "538105060", "description_html": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", "title": "What is up with noises? (The science and mathematics of sound, frequency, and pitch)", "progress_key": "v538105060", "edit_slug": "edit/v/538105060", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", "extra_properties": null, "node_slug": "v/what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:39:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.m3u8/i_0DXxNeaQ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i_0DXxNeaQ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538105060", "sha": "d615485ef202913c1fa85e6749213118e9341176", "translated_description": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", "image_url": "https://img.youtube.com/vi/i_0DXxNeaQ0/hqdefault.jpg", "youtube_id": "i_0DXxNeaQ0", "content_kind": "Video", "readable_id": "what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch"}, {"translated_youtube_id": "WkmPDOq2WfA", "relative_url": "/video/folding-space-time", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/folding-space-time", "duration": 441, "translated_title": "Folding space-time", "translated_description_html": "Music box, backwards Bach, orbifolds and wooden bowl.", "id": "xf320cb16", "description_html": "Music box, backwards Bach, orbifolds and wooden bowl.", "title": "Folding space-time", "progress_key": "vxf320cb16", "edit_slug": "edit/v/xf320cb16", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Music box, backwards Bach, orbifolds and wooden bowl.", "extra_properties": {"original_url": ""}, "node_slug": "v/folding-space-time", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-03-28T03:14:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WkmPDOq2WfA.mp4/WkmPDOq2WfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WkmPDOq2WfA.mp4/WkmPDOq2WfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WkmPDOq2WfA.m3u8/WkmPDOq2WfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WkmPDOq2WfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf320cb16", "sha": "1e1d21411d882074c7981ec1299bb1d0a2976863", "translated_description": "Music box, backwards Bach, orbifolds and wooden bowl.", "image_url": "https://img.youtube.com/vi/WkmPDOq2WfA/hqdefault.jpg", "youtube_id": "WkmPDOq2WfA", "content_kind": "Video", "readable_id": "folding-space-time"}], "twitter_url": "", "translated_description": "The title says it all...", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The title says it all...", "x_pos": 0.0, "node_slug": "singing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axde77a66e", "topic_page_url": "/math/recreational-math/vi-hart/singing", "extended_slug": "math/recreational-math/vi-hart/singing", "slug": "singing", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "be5335be2ae3c339f18934d71884d000b1d3ac93", "standalone_title": "Singing (and noises)", "y_pos": 0.0, "current_revision_key": "be5335be2ae3c339f18934d71884d000b1d3ac93", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/mobius-strips", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/mobius-strips", "translated_standalone_title": "Mobius strips", "translated_title": "Mobius strips", "gplus_url": "", "id": "x98b57e0e", "old_key_name": "m7hVEpe6ST8sFcWqSSyzjTuOAmtDqwnrT_wXWW8O", "hide": false, "title": "Mobius strips", "child_data": [{"kind": "Video", "id": 728954151}, {"kind": "Video", "id": 538068078}], "children": [{"translated_youtube_id": "Am-a5x9DGjg", "relative_url": "/video/math-improv--fruit-by-the-foot", "has_questions": false, "keywords": "mathematics, mobius strip, frieze pattern, borromean rings, symmetry, fruit by the foot", "ka_url": "http://www.khanacademy.org/video/math-improv--fruit-by-the-foot", "duration": 292, "translated_title": "Math improv: Fruit by the foot", "translated_description_html": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", "id": "728954151", "description_html": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", "title": "Math improv: Fruit by the foot", "progress_key": "v728954151", "edit_slug": "edit/v/728954151", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", "extra_properties": null, "node_slug": "v/math-improv--fruit-by-the-foot", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-18T00:46:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.m3u8/Am-a5x9DGjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Am-a5x9DGjg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v728954151", "sha": "0429f50b641ea4c838d47fdfe02a47df95d0a6bb", "translated_description": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", "image_url": "https://img.youtube.com/vi/Am-a5x9DGjg/hqdefault.jpg", "youtube_id": "Am-a5x9DGjg", "content_kind": "Video", "readable_id": "math-improv--fruit-by-the-foot"}, {"translated_youtube_id": "4mdEsouIXGM", "relative_url": "/video/m-bius-story--wind-and-mr--ug", "has_questions": false, "keywords": "mathematics, math, mobius strip, möbius, topology, flatland, vihart, vi hart, triangles, ambigrams", "ka_url": "http://www.khanacademy.org/video/m-bius-story--wind-and-mr--ug", "duration": 435, "translated_title": "Mobius story: Wind and Mr. Ug", "translated_description_html": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwMöbius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things Möbius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", "id": "538068078", "description_html": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwMöbius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things Möbius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", "title": "Mobius story: Wind and Mr. Ug", "progress_key": "v538068078", "edit_slug": "edit/v/538068078", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwMöbius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things Möbius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", "extra_properties": null, "node_slug": "v/m-bius-story--wind-and-mr--ug", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:28:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.m3u8/4mdEsouIXGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4mdEsouIXGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538068078", "sha": "cb4cb103def0d72da32e3f3bd4173ff28fb34407", "translated_description": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwMöbius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things Möbius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", "image_url": "https://img.youtube.com/vi/4mdEsouIXGM/hqdefault.jpg", "youtube_id": "4mdEsouIXGM", "content_kind": "Video", "readable_id": "m-bius-story--wind-and-mr--ug"}], "twitter_url": "", "translated_description": "Playing mathematically with strips!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Playing mathematically with strips!", "x_pos": 0.0, "node_slug": "mobius-strips", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax98b57e0e", "topic_page_url": "/math/recreational-math/vi-hart/mobius-strips", "extended_slug": "math/recreational-math/vi-hart/mobius-strips", "slug": "mobius-strips", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4b3ab21f36dc4a044068b8508e2732c76e272b71", "standalone_title": "Mobius strips", "y_pos": 0.0, "current_revision_key": "4b3ab21f36dc4a044068b8508e2732c76e272b71", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/thanksgiving-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/thanksgiving-math", "translated_standalone_title": "Thanksgiving math", "translated_title": "Thanksgiving math", "gplus_url": "", "id": "x27df170e", "old_key_name": "5T0d6VZwwkNw-VQUqBEs4m6VPyhT4xJPOtGLU3Xp", "hide": false, "title": "Thanksgiving math", "child_data": [{"kind": "Video", "id": 1164366223}, {"kind": "Video", "id": 1164209971}, {"kind": "Video", "id": 1164332939}, {"kind": "Video", "id": 1164444043}], "children": [{"translated_youtube_id": "XwIs1nlDQ2I", "relative_url": "/video/green-bean-matherole", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/green-bean-matherole", "duration": 230, "translated_title": "Green bean matherole", "translated_description_html": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "id": "1164366223", "description_html": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "title": "Green bean matherole", "progress_key": "v1164366223", "edit_slug": "edit/v/1164366223", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "extra_properties": null, "node_slug": "v/green-bean-matherole", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-21T22:32:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.mp4/XwIs1nlDQ2I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.mp4/XwIs1nlDQ2I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.m3u8/XwIs1nlDQ2I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XwIs1nlDQ2I&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1164366223", "sha": "2a8551e8a5175c34fc6b61ee05ba315d37d438b0", "translated_description": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "image_url": "https://img.youtube.com/vi/XwIs1nlDQ2I/hqdefault.jpg", "youtube_id": "XwIs1nlDQ2I", "content_kind": "Video", "readable_id": "green-bean-matherole"}, {"translated_youtube_id": "4tsjCND2ZfM", "relative_url": "/video/borromean-onion-rings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/borromean-onion-rings", "duration": 132, "translated_title": "Borromean onion rings", "translated_description_html": "Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "id": "1164209971", "description_html": "Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "title": "Borromean onion rings", "progress_key": "v1164209971", "edit_slug": "edit/v/1164209971", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "extra_properties": null, "node_slug": "v/borromean-onion-rings", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-21T22:32:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.m3u8/4tsjCND2ZfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4tsjCND2ZfM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164209971", "sha": "11f16843ca625b1b3e43c5ba1cb8a9efb62b4880", "translated_description": "Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "image_url": "https://img.youtube.com/vi/4tsjCND2ZfM/hqdefault.jpg", "youtube_id": "4tsjCND2ZfM", "content_kind": "Video", "readable_id": "borromean-onion-rings"}, {"translated_youtube_id": "F5RyVWI4Onk", "relative_url": "/video/optimal-potatoes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optimal-potatoes", "duration": 157, "translated_title": "Optimal potatoes", "translated_description_html": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "id": "1164332939", "description_html": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "title": "Optimal potatoes", "progress_key": "v1164332939", "edit_slug": "edit/v/1164332939", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "extra_properties": null, "node_slug": "v/optimal-potatoes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-21T22:30:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.m3u8/F5RyVWI4Onk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F5RyVWI4Onk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164332939", "sha": "a40c7be1a8ce9108274622761ef7927b1bfc37e3", "translated_description": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", "image_url": "https://img.youtube.com/vi/F5RyVWI4Onk/hqdefault.jpg", "youtube_id": "F5RyVWI4Onk", "content_kind": "Video", "readable_id": "optimal-potatoes"}, {"translated_youtube_id": "pjrI91J6jOw", "relative_url": "/video/thanksgiving-turduckenen-duckenen", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/thanksgiving-turduckenen-duckenen", "duration": 254, "translated_title": "Thanksgiving turduckenen-duckenen", "translated_description_html": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM", "id": "1164444043", "description_html": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM", "title": "Thanksgiving turduckenen-duckenen", "progress_key": "v1164444043", "edit_slug": "edit/v/1164444043", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM", "extra_properties": null, "node_slug": "v/thanksgiving-turduckenen-duckenen", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-21T22:33:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.mp4/pjrI91J6jOw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.mp4/pjrI91J6jOw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.m3u8/pjrI91J6jOw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pjrI91J6jOw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1164444043", "sha": "06d6576d730c2f7265cdcb77843854ca47e1f91f", "translated_description": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM", "image_url": "https://img.youtube.com/vi/pjrI91J6jOw/hqdefault.jpg", "youtube_id": "pjrI91J6jOw", "content_kind": "Video", "readable_id": "thanksgiving-turduckenen-duckenen"}], "twitter_url": "", "translated_description": "Mathed potatoes, Borromean onion rings, green bean matheroles and Turduckenen-duckenen (yes, you read that right)", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Mathed potatoes, Borromean onion rings, green bean matheroles and Turduckenen-duckenen (yes, you read that right)", "x_pos": 0.0, "node_slug": "thanksgiving-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax27df170e", "topic_page_url": "/math/recreational-math/vi-hart/thanksgiving-math", "extended_slug": "math/recreational-math/vi-hart/thanksgiving-math", "slug": "thanksgiving-math", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0c32040dd5d378724236b1106514b11e1c9bbb34", "standalone_title": "Thanksgiving math", "y_pos": 0.0, "current_revision_key": "0c32040dd5d378724236b1106514b11e1c9bbb34", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/vi-hart/vi-cool-stuff", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/vi-hart/vi-cool-stuff", "translated_standalone_title": "Other cool stuff", "translated_title": "Other cool stuff", "gplus_url": "", "id": "x373e7082", "old_key_name": "jf8lxGCjT6RJN4rBwmz2wwmWBB5dBl3X_47Uofpq", "hide": false, "title": "Other cool stuff", "child_data": [{"kind": "Video", "id": 840477047}, {"kind": "Video", "id": 538083240}, {"kind": "Video", "id": 728889535}, {"kind": "Video", "id": 728958232}, {"kind": "Video", "id": 994354912}, {"kind": "Video", "id": 728836846}, {"kind": "Video", "id": 538041623}, {"kind": "Video", "id": 538012734}, {"kind": "Video", "id": 537978634}, {"kind": "Video", "id": 1226668514}, {"kind": "Video", "id": "xfe49e654"}, {"kind": "Video", "id": "xb53f2622"}], "children": [{"translated_youtube_id": "X1E7I7_r3Cw", "relative_url": "/video/what-was-up-with-pythagoras", "has_questions": false, "keywords": "pythagoras, pythagoreans, sqrt 2, square root, irrational numbers, rational numbers, ratio, mathematics, numbers, proof", "ka_url": "http://www.khanacademy.org/video/what-was-up-with-pythagoras", "duration": 530, "translated_title": "What was up with Pythagoras?", "translated_description_html": "Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.", "id": "840477047", "description_html": "Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.", "title": "What was up with Pythagoras?", "progress_key": "v840477047", "edit_slug": "edit/v/840477047", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.", "extra_properties": null, "node_slug": "v/what-was-up-with-pythagoras", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-13T01:29:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.mp4/X1E7I7_r3Cw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.mp4/X1E7I7_r3Cw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.m3u8/X1E7I7_r3Cw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X1E7I7_r3Cw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v840477047", "sha": "5b72e0e1eb1d41eff65b5a977e826f1233bad21d", "translated_description": "Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.", "image_url": "https://img.youtube.com/vi/X1E7I7_r3Cw/hqdefault.jpg", "youtube_id": "X1E7I7_r3Cw", "content_kind": "Video", "readable_id": "what-was-up-with-pythagoras"}, {"translated_youtube_id": "z6lL83wl31E", "relative_url": "/video/origami-proof-of-the-pythagorean-theorem", "has_questions": false, "keywords": "pythagorean theorem, geometry, mathematics, trigonometry, origami, paper folding, proof", "ka_url": "http://www.khanacademy.org/video/origami-proof-of-the-pythagorean-theorem", "duration": 194, "translated_title": "Origami proof of the Pythagorean theorem", "translated_description_html": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", "id": "538083240", "description_html": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", "title": "Origami proof of the Pythagorean theorem", "progress_key": "v538083240", "edit_slug": "edit/v/538083240", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", "extra_properties": null, "node_slug": "v/origami-proof-of-the-pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-01-31T01:38:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.m3u8/z6lL83wl31E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z6lL83wl31E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538083240", "sha": "ebfa46903357d7e2cd63a4cc4d5b6e520d16650e", "translated_description": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", "image_url": "https://img.youtube.com/vi/z6lL83wl31E/hqdefault.jpg", "youtube_id": "z6lL83wl31E", "content_kind": "Video", "readable_id": "origami-proof-of-the-pythagorean-theorem"}, {"translated_youtube_id": "TINfzxSnnIE", "relative_url": "/video/9-999----reasons-that--999------1", "has_questions": false, "keywords": "mathematics, numbers, repeating decimals, real numbers, surreal numbers, hyperreal numbers", "ka_url": "http://www.khanacademy.org/video/9-999----reasons-that--999------1", "duration": 601, "translated_title": "9.999... reasons that .999... = 1", "translated_description_html": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", "id": "728889535", "description_html": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", "title": "9.999... reasons that .999... = 1", "progress_key": "v728889535", "edit_slug": "edit/v/728889535", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", "extra_properties": null, "node_slug": "v/9-999----reasons-that--999------1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-18T00:50:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.m3u8/TINfzxSnnIE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TINfzxSnnIE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v728889535", "sha": "0fa8f38f1569ea2f9b2b246ec606b20c659a2e6c", "translated_description": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", "image_url": "https://img.youtube.com/vi/TINfzxSnnIE/hqdefault.jpg", "youtube_id": "TINfzxSnnIE", "content_kind": "Video", "readable_id": "9-999----reasons-that--999------1"}, {"translated_youtube_id": "GFLkou8NvJo", "relative_url": "/video/wau--the-most-amazing--ancient--and-singular-number", "has_questions": false, "keywords": "wau", "ka_url": "http://www.khanacademy.org/video/wau--the-most-amazing--ancient--and-singular-number", "duration": 319, "translated_title": "Wau: The most amazing, ancient, and singular number", "translated_description_html": "What other amazing properties of Wau can you think of? Leave them in the comments.", "id": "728958232", "description_html": "What other amazing properties of Wau can you think of? Leave them in the comments.", "title": "Wau: The most amazing, ancient, and singular number", "progress_key": "v728958232", "edit_slug": "edit/v/728958232", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What other amazing properties of Wau can you think of? Leave them in the comments.", "extra_properties": null, "node_slug": "v/wau--the-most-amazing--ancient--and-singular-number", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-18T00:48:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.m3u8/GFLkou8NvJo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GFLkou8NvJo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v728958232", "sha": "6a81b06d772c3513bd50d3fdff5db1b49f559ac2", "translated_description": "What other amazing properties of Wau can you think of? Leave them in the comments.", "image_url": "https://img.youtube.com/vi/GFLkou8NvJo/hqdefault.jpg", "youtube_id": "GFLkou8NvJo", "content_kind": "Video", "readable_id": "wau--the-most-amazing--ancient--and-singular-number"}, {"translated_youtube_id": "dBVoIUASFS0", "relative_url": "/video/dialogue-for-2", "has_questions": false, "keywords": "two, numbers, fractions, addition, vihart", "ka_url": "http://www.khanacademy.org/video/dialogue-for-2", "duration": 250, "translated_title": "Dialogue for 2", "translated_description_html": "A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols", "id": "994354912", "description_html": "A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols", "title": "Dialogue for 2", "progress_key": "v994354912", "edit_slug": "edit/v/994354912", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols", "extra_properties": null, "node_slug": "v/dialogue-for-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-24T16:47:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.mp4/dBVoIUASFS0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.mp4/dBVoIUASFS0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.m3u8/dBVoIUASFS0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dBVoIUASFS0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v994354912", "sha": "b5c0ae3d0a124952deac59358c1d7272120b322c", "translated_description": "A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols", "image_url": "https://img.youtube.com/vi/dBVoIUASFS0/hqdefault.jpg", "youtube_id": "dBVoIUASFS0", "content_kind": "Video", "readable_id": "dialogue-for-2"}, {"translated_youtube_id": "a5z-OEIfw3s", "relative_url": "/video/fractal-fractions", "has_questions": false, "keywords": "fractal, fractions, infinity, mathematics, math, algebra", "ka_url": "http://www.khanacademy.org/video/fractal-fractions", "duration": 345, "translated_title": "Fractal fractions", "translated_description_html": "How to make snazzy-lookin' fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", "id": "728836846", "description_html": "How to make snazzy-lookin' fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", "title": "Fractal fractions", "progress_key": "v728836846", "edit_slug": "edit/v/728836846", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to make snazzy-lookin' fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", "extra_properties": {"original_url": ""}, "node_slug": "v/fractal-fractions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-04-18T00:50:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.m3u8/a5z-OEIfw3s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5z-OEIfw3s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v728836846", "sha": "6c86a00d744067f5372ba81b42ddefaeabd0e031", "translated_description": "How to make snazzy-lookin' fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", "image_url": "https://img.youtube.com/vi/a5z-OEIfw3s/hqdefault.jpg", "youtube_id": "a5z-OEIfw3s", "content_kind": "Video", "readable_id": "fractal-fractions"}, {"translated_youtube_id": "Gx5D09s5X6U", "relative_url": "/video/how-to-snakes", "has_questions": false, "keywords": "snakes, math, fractal, mathematics, hydra, peano curve, pi", "ka_url": "http://www.khanacademy.org/video/how-to-snakes", "duration": 130, "translated_title": "How to snakes", "translated_description_html": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", "id": "538041623", "description_html": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", "title": "How to snakes", "progress_key": "v538041623", "edit_slug": "edit/v/538041623", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", "extra_properties": null, "node_slug": "v/how-to-snakes", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-01-31T01:35:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.m3u8/Gx5D09s5X6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gx5D09s5X6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538041623", "sha": "8a5e860ed8b27206244c435f5890ac592b74a943", "translated_description": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", "image_url": "https://img.youtube.com/vi/Gx5D09s5X6U/hqdefault.jpg", "youtube_id": "Gx5D09s5X6U", "content_kind": "Video", "readable_id": "how-to-snakes"}, {"translated_youtube_id": "a-e8fzqv3CE", "relative_url": "/video/re--visual-multiplication-and-48-2-9-3", "has_questions": false, "keywords": "mathematics, multiplication", "ka_url": "http://www.khanacademy.org/video/re--visual-multiplication-and-48-2-9-3", "duration": 199, "translated_title": "Re: Visual multiplication and 48/2(9+3)", "translated_description_html": "A quick response to some mathy things going around.", "id": "538012734", "description_html": "A quick response to some mathy things going around.", "title": "Re: Visual multiplication and 48/2(9+3)", "progress_key": "v538012734", "edit_slug": "edit/v/538012734", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A quick response to some mathy things going around.", "extra_properties": null, "node_slug": "v/re--visual-multiplication-and-48-2-9-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:30:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.mp4/a-e8fzqv3CE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.mp4/a-e8fzqv3CE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.m3u8/a-e8fzqv3CE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a-e8fzqv3CE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v538012734", "sha": "1f7788b3a969ae5f7792b7fe941b8d71439a57d3", "translated_description": "A quick response to some mathy things going around.", "image_url": "https://img.youtube.com/vi/a-e8fzqv3CE/hqdefault.jpg", "youtube_id": "a-e8fzqv3CE", "content_kind": "Video", "readable_id": "re--visual-multiplication-and-48-2-9-3"}, {"translated_youtube_id": "sxnX5_LbBDU", "relative_url": "/video/the-gauss-christmath-special", "has_questions": false, "keywords": "math, gauss, triangles, mathematics, triangular numbers, vihart, christmas, 12 days, math class, doodling", "ka_url": "http://www.khanacademy.org/video/the-gauss-christmath-special", "duration": 617, "translated_title": "The Gauss Christmath Special", "translated_description_html": "Christmas ain't over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com", "id": "537978634", "description_html": "Christmas ain't over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com", "title": "The Gauss Christmath Special", "progress_key": "v537978634", "edit_slug": "edit/v/537978634", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Christmas ain't over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com", "extra_properties": null, "node_slug": "v/the-gauss-christmath-special", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-31T01:27:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.mp4/sxnX5_LbBDU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.mp4/sxnX5_LbBDU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.m3u8/sxnX5_LbBDU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sxnX5_LbBDU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v537978634", "sha": "016286e12d94525ba19d06a0382f9b0145e196c5", "translated_description": "Christmas ain't over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com", "image_url": "https://img.youtube.com/vi/sxnX5_LbBDU/hqdefault.jpg", "youtube_id": "sxnX5_LbBDU", "content_kind": "Video", "readable_id": "the-gauss-christmath-special"}, {"translated_youtube_id": "8EmhGOQ-DNQ", "relative_url": "/video/snowflakes--starflakes--and-swirlflakes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/snowflakes--starflakes--and-swirlflakes", "duration": 244, "translated_title": "Snowflakes, starflakes, and swirlflakes", "translated_description_html": "Unusual variations on the paper snowflake.", "id": "1226668514", "description_html": "Unusual variations on the paper snowflake.", "title": "Snowflakes, starflakes, and swirlflakes", "progress_key": "v1226668514", "edit_slug": "edit/v/1226668514", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unusual variations on the paper snowflake.", "extra_properties": null, "node_slug": "v/snowflakes--starflakes--and-swirlflakes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T05:34:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.m3u8/8EmhGOQ-DNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8EmhGOQ-DNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1226668514", "sha": "f8ff67cab093701d2d7c84c474eccdee397b08a0", "translated_description": "Unusual variations on the paper snowflake.", "image_url": "https://img.youtube.com/vi/8EmhGOQ-DNQ/hqdefault.jpg", "youtube_id": "8EmhGOQ-DNQ", "content_kind": "Video", "readable_id": "snowflakes--starflakes--and-swirlflakes"}, {"translated_youtube_id": "toKu2-qzJeM", "relative_url": "/video/sphereflakes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sphereflakes", "duration": 185, "translated_title": "Sphereflakes", "translated_description_html": "Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!", "id": "xfe49e654", "description_html": "Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!", "title": "Sphereflakes", "progress_key": "vxfe49e654", "edit_slug": "edit/v/xfe49e654", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!", "extra_properties": {"original_url": ""}, "node_slug": "v/sphereflakes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-27T23:37:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/toKu2-qzJeM.mp4/toKu2-qzJeM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/toKu2-qzJeM.mp4/toKu2-qzJeM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/toKu2-qzJeM.m3u8/toKu2-qzJeM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=toKu2-qzJeM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe49e654", "sha": "2e96730f2e21f9d080e5621e043aa32e44871700", "translated_description": "Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!", "image_url": "https://img.youtube.com/vi/toKu2-qzJeM/hqdefault.jpg", "youtube_id": "toKu2-qzJeM", "content_kind": "Video", "readable_id": "sphereflakes"}, {"translated_youtube_id": "WU3AlAOCxN0", "relative_url": "/video/reel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reel", "duration": 196, "translated_title": "Reel", "translated_description_html": "This isn't the epic video I've been working on for months, I just couldn't sleep last night and had been reading too much Borges so this fell out.", "id": "xb53f2622", "description_html": "This isn't the epic video I've been working on for months, I just couldn't sleep last night and had been reading too much Borges so this fell out.", "title": "Reel", "progress_key": "vxb53f2622", "edit_slug": "edit/v/xb53f2622", "author_names": ["Vi Hart"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This isn't the epic video I've been working on for months, I just couldn't sleep last night and had been reading too much Borges so this fell out.", "extra_properties": {"original_url": ""}, "node_slug": "v/reel", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-15T16:56:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WU3AlAOCxN0.mp4/WU3AlAOCxN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WU3AlAOCxN0.mp4/WU3AlAOCxN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WU3AlAOCxN0.m3u8/WU3AlAOCxN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WU3AlAOCxN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb53f2622", "sha": "8ef144ff0e61b4bc467b822fa22154ea29104a53", "translated_description": "This isn't the epic video I've been working on for months, I just couldn't sleep last night and had been reading too much Borges so this fell out.", "image_url": "https://img.youtube.com/vi/WU3AlAOCxN0/hqdefault.jpg", "youtube_id": "WU3AlAOCxN0", "content_kind": "Video", "readable_id": "reel"}], "twitter_url": "", "translated_description": "Pythagoras, snakes, fractals, snowflakes...", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Pythagoras, snakes, fractals, snowflakes...", "x_pos": 0.0, "node_slug": "vi-cool-stuff", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax373e7082", "topic_page_url": "/math/recreational-math/vi-hart/vi-cool-stuff", "extended_slug": "math/recreational-math/vi-hart/vi-cool-stuff", "slug": "vi-cool-stuff", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "46c16b38e0a14cc0d1443721f5752b0a8a73b4ee", "standalone_title": "Other cool stuff", "y_pos": 0.0, "current_revision_key": "46c16b38e0a14cc0d1443721f5752b0a8a73b4ee", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Recreational mathematics and inspirational videos by resident mathemusician Vi Hart", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Recreational mathematics and inspirational videos by resident mathemusician Vi Hart", "x_pos": 0.0, "node_slug": "vi-hart", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf48ec4ac", "topic_page_url": "/math/recreational-math/vi-hart", "extended_slug": "math/recreational-math/vi-hart", "slug": "vi-hart", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a76fcb05b52874b7e561f69e657bb67132985e1d", "standalone_title": "Vi Hart", "y_pos": 0.0, "current_revision_key": "a76fcb05b52874b7e561f69e657bb67132985e1d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/recreational-math/brain-teasers", "web_url": "", "ka_url": "http://www.khanacademy.org/math/recreational-math/brain-teasers", "translated_standalone_title": "Brain teasers", "translated_title": "Brain teasers", "gplus_url": "", "id": "xffb4773d", "old_key_name": "oXk83TEJRGQC8rUvLbZbKL-OjF1aosslVNgXn5Sh", "hide": false, "title": "Brain teasers", "child_data": [{"kind": "Video", "id": 353049}, {"kind": "Video", "id": 383058}, {"kind": "Video", "id": 404032}, {"kind": "Video", "id": 419004}, {"kind": "Video", "id": 427002}, {"kind": "Video", "id": 381049}, {"kind": "Video", "id": 390056}, {"kind": "Video", "id": 415005}, {"kind": "Video", "id": 374053}], "children": [{"translated_youtube_id": "69rDtSpshAw", "relative_url": "/video/liar-truthteller-brain-teaser", "has_questions": false, "keywords": "brain, teaser, logic", "ka_url": "http://www.khanacademy.org/video/liar-truthteller-brain-teaser", "duration": 409, "translated_title": "Liar truth-teller brain teaser", "translated_description_html": "How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don't know who is what)", "id": "353049", "description_html": "How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don't know who is what)", "title": "Liar truth-teller brain teaser", "progress_key": "v353049", "edit_slug": "edit/v/353049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don't know who is what)", "extra_properties": null, "node_slug": "v/liar-truthteller-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/69rDtSpshAw.mp4/69rDtSpshAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/69rDtSpshAw.mp4/69rDtSpshAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/69rDtSpshAw.m3u8/69rDtSpshAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=69rDtSpshAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v353049", "sha": "7f9f5d075bbc966f7b498e93d19fa91a8011fe7d", "translated_description": "How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don't know who is what)", "image_url": "https://img.youtube.com/vi/69rDtSpshAw/hqdefault.jpg", "youtube_id": "69rDtSpshAw", "content_kind": "Video", "readable_id": "liar-truthteller-brain-teaser"}, {"translated_youtube_id": "l3OkPYhDi9w", "relative_url": "/video/toggler-brain-teaser", "has_questions": false, "keywords": "math, logic, brain, teaser", "ka_url": "http://www.khanacademy.org/video/toggler-brain-teaser", "duration": 672, "translated_title": "Toggler brain teaser", "translated_description_html": "Separating the truthteller from the togglers!", "id": "383058", "description_html": "Separating the truthteller from the togglers!", "title": "Toggler brain teaser", "progress_key": "v383058", "edit_slug": "edit/v/383058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Separating the truthteller from the togglers!", "extra_properties": null, "node_slug": "v/toggler-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l3OkPYhDi9w.mp4/l3OkPYhDi9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l3OkPYhDi9w.mp4/l3OkPYhDi9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l3OkPYhDi9w.m3u8/l3OkPYhDi9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l3OkPYhDi9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v383058", "sha": "5bdeb862c05a2cf965a4ff5f73784dcf213d6dce", "translated_description": "Separating the truthteller from the togglers!", "image_url": "https://img.youtube.com/vi/l3OkPYhDi9w/hqdefault.jpg", "youtube_id": "l3OkPYhDi9w", "content_kind": "Video", "readable_id": "toggler-brain-teaser"}, {"translated_youtube_id": "K4pocYXOmTQ", "relative_url": "/video/alien-abduction-brain-teaser", "has_questions": false, "keywords": "logic, brain, teaser, alien, math", "ka_url": "http://www.khanacademy.org/video/alien-abduction-brain-teaser", "duration": 1019, "translated_title": "Alien abduction brain teaser", "translated_description_html": "Saving Earth from becoming a mushroom farm.", "id": "404032", "description_html": "Saving Earth from becoming a mushroom farm.", "title": "Alien abduction brain teaser", "progress_key": "v404032", "edit_slug": "edit/v/404032", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Saving Earth from becoming a mushroom farm.", "extra_properties": null, "node_slug": "v/alien-abduction-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K4pocYXOmTQ.mp4/K4pocYXOmTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K4pocYXOmTQ.mp4/K4pocYXOmTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K4pocYXOmTQ.m3u8/K4pocYXOmTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K4pocYXOmTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v404032", "sha": "4c6ec17504fea4a15e7ad51226911d2b011579a0", "translated_description": "Saving Earth from becoming a mushroom farm.", "image_url": "https://img.youtube.com/vi/K4pocYXOmTQ/hqdefault.jpg", "youtube_id": "K4pocYXOmTQ", "content_kind": "Video", "readable_id": "alien-abduction-brain-teaser"}, {"translated_youtube_id": "rBaCDC52NOY", "relative_url": "/video/brain-teaser--blue-forehead-room", "has_questions": false, "keywords": "brain, teaser, recursion", "ka_url": "http://www.khanacademy.org/video/brain-teaser--blue-forehead-room", "duration": 445, "translated_title": "Blue forehead room brain teaser", "translated_description_html": "What happens when 100 perfect logicians have to figure out if they each have a blue forehead?", "id": "419004", "description_html": "What happens when 100 perfect logicians have to figure out if they each have a blue forehead?", "title": "Blue forehead room brain teaser", "progress_key": "v419004", "edit_slug": "edit/v/419004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens when 100 perfect logicians have to figure out if they each have a blue forehead?", "extra_properties": null, "node_slug": "v/brain-teaser--blue-forehead-room", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rBaCDC52NOY.mp4/rBaCDC52NOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rBaCDC52NOY.mp4/rBaCDC52NOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rBaCDC52NOY.m3u8/rBaCDC52NOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rBaCDC52NOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v419004", "sha": "1c40b4799137852a63b91dfde0a0cd655af35415", "translated_description": "What happens when 100 perfect logicians have to figure out if they each have a blue forehead?", "image_url": "https://img.youtube.com/vi/rBaCDC52NOY/hqdefault.jpg", "youtube_id": "rBaCDC52NOY", "content_kind": "Video", "readable_id": "brain-teaser--blue-forehead-room"}, {"translated_youtube_id": "-xYkTJFbuM0", "relative_url": "/video/blue-forehead-room-solution", "has_questions": false, "keywords": "brain, teaser, recursion", "ka_url": "http://www.khanacademy.org/video/blue-forehead-room-solution", "duration": 660, "translated_title": "Blue forehead room solution", "translated_description_html": "Do not watch before Blue Forehead Room. THIS IS THE SOLUTION!", "id": "427002", "description_html": "Do not watch before Blue Forehead Room. THIS IS THE SOLUTION!", "title": "Blue forehead room solution", "progress_key": "v427002", "edit_slug": "edit/v/427002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Do not watch before Blue Forehead Room. THIS IS THE SOLUTION!", "extra_properties": null, "node_slug": "v/blue-forehead-room-solution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-xYkTJFbuM0.mp4/-xYkTJFbuM0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-xYkTJFbuM0.mp4/-xYkTJFbuM0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-xYkTJFbuM0.m3u8/-xYkTJFbuM0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-xYkTJFbuM0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v427002", "sha": "d17be5d8a469bedcc70db6e5f0e18a8b0f983019", "translated_description": "Do not watch before Blue Forehead Room. THIS IS THE SOLUTION!", "image_url": "https://img.youtube.com/vi/-xYkTJFbuM0/hqdefault.jpg", "youtube_id": "-xYkTJFbuM0", "content_kind": "Video", "readable_id": "blue-forehead-room-solution"}, {"translated_youtube_id": "jqpQPxWj8gE", "relative_url": "/video/forehead-numbers-brain-teaser", "has_questions": false, "keywords": "logic, brain, teaser, math", "ka_url": "http://www.khanacademy.org/video/forehead-numbers-brain-teaser", "duration": 729, "translated_title": "Forehead numbers brain teaser", "translated_description_html": "The perfect logicians are at it again.", "id": "381049", "description_html": "The perfect logicians are at it again.", "title": "Forehead numbers brain teaser", "progress_key": "v381049", "edit_slug": "edit/v/381049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The perfect logicians are at it again.", "extra_properties": null, "node_slug": "v/forehead-numbers-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-21T10:38:48Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jqpQPxWj8gE.mp4/jqpQPxWj8gE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jqpQPxWj8gE.mp4/jqpQPxWj8gE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jqpQPxWj8gE.m3u8/jqpQPxWj8gE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jqpQPxWj8gE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v381049", "sha": "e2a32a66857e4dabcab430552201ce674498c34f", "translated_description": "The perfect logicians are at it again.", "image_url": "https://img.youtube.com/vi/jqpQPxWj8gE/hqdefault.jpg", "youtube_id": "jqpQPxWj8gE", "content_kind": "Video", "readable_id": "forehead-numbers-brain-teaser"}, {"translated_youtube_id": "WNhxkpmVQYw", "relative_url": "/video/light-bulb-switching-brain-teaser", "has_questions": false, "keywords": "brain, teaser, factor, math, number, theory", "ka_url": "http://www.khanacademy.org/video/light-bulb-switching-brain-teaser", "duration": 679, "translated_title": "Light bulb switching brain teaser", "translated_description_html": "Turning light bulbs on and off.", "id": "390056", "description_html": "Turning light bulbs on and off.", "title": "Light bulb switching brain teaser", "progress_key": "v390056", "edit_slug": "edit/v/390056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Turning light bulbs on and off.", "extra_properties": null, "node_slug": "v/light-bulb-switching-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WNhxkpmVQYw.mp4/WNhxkpmVQYw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WNhxkpmVQYw.mp4/WNhxkpmVQYw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WNhxkpmVQYw.m3u8/WNhxkpmVQYw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WNhxkpmVQYw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v390056", "sha": "5bf75cb0dc943876b3938c32b06e224890a19d33", "translated_description": "Turning light bulbs on and off.", "image_url": "https://img.youtube.com/vi/WNhxkpmVQYw/hqdefault.jpg", "youtube_id": "WNhxkpmVQYw", "content_kind": "Video", "readable_id": "light-bulb-switching-brain-teaser"}, {"translated_youtube_id": "9QduzzW10uA", "relative_url": "/video/path-counting-brain-teaser", "has_questions": false, "keywords": "brain, teaser, paths, binomial, interview, questions", "ka_url": "http://www.khanacademy.org/video/path-counting-brain-teaser", "duration": 642, "translated_title": "Path counting brain teaser", "translated_description_html": "Counting paths in a square", "id": "415005", "description_html": "Counting paths in a square", "title": "Path counting brain teaser", "progress_key": "v415005", "edit_slug": "edit/v/415005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Counting paths in a square", "extra_properties": null, "node_slug": "v/path-counting-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9QduzzW10uA.mp4/9QduzzW10uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9QduzzW10uA.mp4/9QduzzW10uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9QduzzW10uA.m3u8/9QduzzW10uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9QduzzW10uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v415005", "sha": "2215d835208dfe5bf9ee0a78ba7caa01dfdeec5b", "translated_description": "Counting paths in a square", "image_url": "https://img.youtube.com/vi/9QduzzW10uA/hqdefault.jpg", "youtube_id": "9QduzzW10uA", "content_kind": "Video", "readable_id": "path-counting-brain-teaser"}, {"translated_youtube_id": "wRxzDOloS3o", "relative_url": "/video/3-d-path-counting-brain-teaser", "has_questions": false, "keywords": "brain, teaser, trinomial, path, counting, dimension", "ka_url": "http://www.khanacademy.org/video/3-d-path-counting-brain-teaser", "duration": 735, "translated_title": "3D path counting brain teaser", "translated_description_html": "Extending the path counting to three dimensions", "id": "374053", "description_html": "Extending the path counting to three dimensions", "title": "3D path counting brain teaser", "progress_key": "v374053", "edit_slug": "edit/v/374053", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Extending the path counting to three dimensions", "extra_properties": null, "node_slug": "v/3-d-path-counting-brain-teaser", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-02-20T16:31:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wRxzDOloS3o.mp4/wRxzDOloS3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wRxzDOloS3o.mp4/wRxzDOloS3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wRxzDOloS3o.m3u8/wRxzDOloS3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wRxzDOloS3o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v374053", "sha": "28631e340872db81a19833cb3ff7441cf0269502", "translated_description": "Extending the path counting to three dimensions", "image_url": "https://img.youtube.com/vi/wRxzDOloS3o/hqdefault.jpg", "youtube_id": "wRxzDOloS3o", "content_kind": "Video", "readable_id": "3-d-path-counting-brain-teaser"}], "twitter_url": "", "translated_description": "Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!", "x_pos": 0.0, "node_slug": "brain-teasers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axffb4773d", "topic_page_url": "/math/recreational-math/brain-teasers", "extended_slug": "math/recreational-math/brain-teasers", "slug": "brain-teasers", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a1d6dfd4171671f0eb53452274f437b1e7b1ff58", "standalone_title": "Brain teasers", "y_pos": 0.0, "current_revision_key": "a1d6dfd4171671f0eb53452274f437b1e7b1ff58", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "recreational-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe7bbd8fa", "topic_page_url": "/math/recreational-math", "extended_slug": "math/recreational-math", "slug": "recreational-math", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b789d2428fcfe72540f43afa3186b509102b82e4", "standalone_title": "Recreational math", "y_pos": 0.0, "current_revision_key": "b789d2428fcfe72540f43afa3186b509102b82e4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep", "translated_standalone_title": "Test prep", "translated_title": "Test prep", "gplus_url": "", "id": "x7626d097", "old_key_name": "1Lh3xgmCChXCm4WNNYkf7EBv_QtVXW0vXV5buaKd", "hide": false, "title": "Test prep", "child_data": [{"kind": "Topic", "id": "xc8aa1bad"}, {"kind": "Topic", "id": "xa0e62ca2"}, {"kind": "Topic", "id": "x2e5e6cb0"}, {"kind": "Topic", "id": "x638449e3"}, {"kind": "Topic", "id": "x859feb00"}, {"kind": "Topic", "id": "xd8bf5f81"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/sat-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/sat-math", "translated_standalone_title": "SAT Preparation", "translated_title": "SAT Math", "gplus_url": "", "id": "xc8aa1bad", "old_key_name": "uuisqDfqZH2ucKpr25v55NPRlAQvtv0DE8rhgpW4", "hide": false, "title": "SAT Math", "child_data": [{"kind": "Video", "id": 25895}, {"kind": "Video", "id": 25897}, {"kind": "Video", "id": 25899}, {"kind": "Video", "id": 25901}, {"kind": "Video", "id": 25903}, {"kind": "Video", "id": 25905}, {"kind": "Video", "id": 25907}, {"kind": "Video", "id": 25909}, {"kind": "Video", "id": 25911}, {"kind": "Video", "id": 25913}, {"kind": "Video", "id": 25915}, {"kind": "Video", "id": 25917}, {"kind": "Video", "id": 25919}, {"kind": "Video", "id": 25921}, {"kind": "Video", "id": 25923}, {"kind": "Video", "id": 25925}, {"kind": "Video", "id": 25927}, {"kind": "Video", "id": 25929}, {"kind": "Video", "id": 25931}, {"kind": "Video", "id": 25933}, {"kind": "Video", "id": 25935}, {"kind": "Video", "id": 25937}, {"kind": "Video", "id": 25939}, {"kind": "Video", "id": 25941}, {"kind": "Video", "id": 25943}, {"kind": "Video", "id": 25945}, {"kind": "Video", "id": 25947}, {"kind": "Video", "id": 25949}, {"kind": "Video", "id": 25951}, {"kind": "Video", "id": 25953}, {"kind": "Video", "id": 25955}, {"kind": "Video", "id": 25957}, {"kind": "Video", "id": 25959}, {"kind": "Video", "id": 25961}, {"kind": "Video", "id": 25963}, {"kind": "Video", "id": 25965}, {"kind": "Video", "id": 25967}, {"kind": "Video", "id": 25969}, {"kind": "Video", "id": 25971}, {"kind": "Video", "id": 25973}, {"kind": "Video", "id": 25975}, {"kind": "Video", "id": 25977}, {"kind": "Video", "id": 25979}, {"kind": "Video", "id": 25981}, {"kind": "Video", "id": 25983}, {"kind": "Video", "id": 25985}, {"kind": "Video", "id": 25987}, {"kind": "Video", "id": 25989}, {"kind": "Video", "id": 25991}, {"kind": "Video", "id": 25993}, {"kind": "Video", "id": 25995}, {"kind": "Video", "id": 25997}, {"kind": "Video", "id": 25999}, {"kind": "Video", "id": 26001}, {"kind": "Video", "id": 26003}, {"kind": "Video", "id": 26005}, {"kind": "Video", "id": 26007}, {"kind": "Video", "id": 26009}, {"kind": "Video", "id": 26011}, {"kind": "Video", "id": 26013}, {"kind": "Video", "id": 26015}, {"kind": "Video", "id": 26017}, {"kind": "Video", "id": 26019}, {"kind": "Video", "id": 26021}, {"kind": "Video", "id": 26023}, {"kind": "Video", "id": 26025}, {"kind": "Video", "id": 26027}, {"kind": "Video", "id": 26029}, {"kind": "Video", "id": 26031}, {"kind": "Video", "id": 26033}, {"kind": "Video", "id": 26035}, {"kind": "Video", "id": 26037}, {"kind": "Video", "id": 26039}, {"kind": "Video", "id": 26041}, {"kind": "Video", "id": 26043}, {"kind": "Video", "id": 26045}, {"kind": "Video", "id": 26047}, {"kind": "Video", "id": 26049}, {"kind": "Video", "id": 26051}, {"kind": "Video", "id": 26053}, {"kind": "Video", "id": 26055}, {"kind": "Video", "id": 26057}, {"kind": "Video", "id": 26059}, {"kind": "Video", "id": 26061}, {"kind": "Video", "id": 26063}, {"kind": "Video", "id": 26065}, {"kind": "Video", "id": 26067}, {"kind": "Video", "id": 26069}, {"kind": "Video", "id": 26071}, {"kind": "Video", "id": 26073}, {"kind": "Video", "id": 26075}, {"kind": "Video", "id": 26077}, {"kind": "Video", "id": 26079}, {"kind": "Video", "id": 26081}, {"kind": "Video", "id": 26083}, {"kind": "Video", "id": 26085}, {"kind": "Video", "id": 26087}, {"kind": "Video", "id": 26089}, {"kind": "Video", "id": 26091}, {"kind": "Video", "id": 26093}, {"kind": "Video", "id": 26095}, {"kind": "Video", "id": 26097}, {"kind": "Video", "id": 26099}, {"kind": "Video", "id": 26101}, {"kind": "Video", "id": 26103}, {"kind": "Video", "id": 26105}, {"kind": "Video", "id": 26107}, {"kind": "Video", "id": 26109}, {"kind": "Video", "id": 26111}, {"kind": "Video", "id": 26113}, {"kind": "Video", "id": 26115}, {"kind": "Video", "id": 26117}, {"kind": "Video", "id": 26119}, {"kind": "Video", "id": 26121}, {"kind": "Video", "id": 26123}, {"kind": "Video", "id": 26125}, {"kind": "Video", "id": 26127}, {"kind": "Video", "id": 26129}], "children": [{"translated_youtube_id": "tP9bocr_C2I", "relative_url": "/video/sat-prep--test-1-section3-part-1", "has_questions": false, "keywords": "SAT, prep, math, khanacademy", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section3-part-1", "duration": 597, "translated_title": "SAT Prep: Test 1 Section 3 Part 1", "translated_description_html": "Problems 1-3 starting on page 395 of College Board Official SAT Study Guide", "id": "25895", "description_html": "Problems 1-3 starting on page 395 of College Board Official SAT Study Guide", "title": "SAT Prep: Test 1 Section 3 Part 1", "progress_key": "v25895", "edit_slug": "edit/v/25895", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-3 starting on page 395 of College Board Official SAT Study Guide", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section3-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tP9bocr_C2I.mp4/tP9bocr_C2I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tP9bocr_C2I.mp4/tP9bocr_C2I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tP9bocr_C2I.m3u8/tP9bocr_C2I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tP9bocr_C2I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25895", "sha": "fa95ebbf5a519efd4486bd5e3eee42699dc83334", "translated_description": "Problems 1-3 starting on page 395 of College Board Official SAT Study Guide", "image_url": "https://img.youtube.com/vi/tP9bocr_C2I/hqdefault.jpg", "youtube_id": "tP9bocr_C2I", "content_kind": "Video", "readable_id": "sat-prep--test-1-section3-part-1"}, {"translated_youtube_id": "uFfMl-wGOqA", "relative_url": "/video/sat-prep--test-1-section-3-part-2", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-2", "duration": 598, "translated_title": "SAT Prep: Test 1 Section 3 Part 2", "translated_description_html": "Problems 4-7 starting on page 396", "id": "25897", "description_html": "Problems 4-7 starting on page 396", "title": "SAT Prep: Test 1 Section 3 Part 2", "progress_key": "v25897", "edit_slug": "edit/v/25897", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 4-7 starting on page 396", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uFfMl-wGOqA.mp4/uFfMl-wGOqA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uFfMl-wGOqA.mp4/uFfMl-wGOqA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uFfMl-wGOqA.m3u8/uFfMl-wGOqA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uFfMl-wGOqA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25897", "sha": "e1df20f678adf9f8562e0437f09ebfb066095f5f", "translated_description": "Problems 4-7 starting on page 396", "image_url": "https://img.youtube.com/vi/uFfMl-wGOqA/hqdefault.jpg", "youtube_id": "uFfMl-wGOqA", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-2"}, {"translated_youtube_id": "BRX5mWU0pKo", "relative_url": "/video/sat-prep--test-1-section-3-part-3", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-3", "duration": 530, "translated_title": "SAT Prep: Test 1 Section 3 Part 3", "translated_description_html": "Problems 7-10 starting on page 397", "id": "25899", "description_html": "Problems 7-10 starting on page 397", "title": "SAT Prep: Test 1 Section 3 Part 3", "progress_key": "v25899", "edit_slug": "edit/v/25899", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-10 starting on page 397", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BRX5mWU0pKo.mp4/BRX5mWU0pKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BRX5mWU0pKo.mp4/BRX5mWU0pKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BRX5mWU0pKo.m3u8/BRX5mWU0pKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BRX5mWU0pKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25899", "sha": "23d37565f1335616f40df76a8a40206dc8d7e6c2", "translated_description": "Problems 7-10 starting on page 397", "image_url": "https://img.youtube.com/vi/BRX5mWU0pKo/hqdefault.jpg", "youtube_id": "BRX5mWU0pKo", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-3"}, {"translated_youtube_id": "THu1yyU350A", "relative_url": "/video/sat-prep--test-1-section-3-part-4", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-4", "duration": 597, "translated_title": "SAT Prep: Test 1 Section 3 Part 4", "translated_description_html": "Problems 11-12 starting on page 398", "id": "25901", "description_html": "Problems 11-12 starting on page 398", "title": "SAT Prep: Test 1 Section 3 Part 4", "progress_key": "v25901", "edit_slug": "edit/v/25901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 11-12 starting on page 398", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/THu1yyU350A.mp4/THu1yyU350A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/THu1yyU350A.mp4/THu1yyU350A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/THu1yyU350A.m3u8/THu1yyU350A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=THu1yyU350A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25901", "sha": "0515faae72595e980d961dc1cddf9ecb3440a60d", "translated_description": "Problems 11-12 starting on page 398", "image_url": "https://img.youtube.com/vi/THu1yyU350A/hqdefault.jpg", "youtube_id": "THu1yyU350A", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-4"}, {"translated_youtube_id": "Pj-dYWwdlDA", "relative_url": "/video/sat-prep--test-1-section-3-part-5", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-5", "duration": 518, "translated_title": "SAT Prep: Test 1 Section 3 Part 5", "translated_description_html": "Problems 13-14 starting on page 398", "id": "25903", "description_html": "Problems 13-14 starting on page 398", "title": "SAT Prep: Test 1 Section 3 Part 5", "progress_key": "v25903", "edit_slug": "edit/v/25903", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 13-14 starting on page 398", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pj-dYWwdlDA.mp4/Pj-dYWwdlDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pj-dYWwdlDA.mp4/Pj-dYWwdlDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pj-dYWwdlDA.m3u8/Pj-dYWwdlDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pj-dYWwdlDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25903", "sha": "3a44167fb8c6f6b4319f35d171735e15f63471c1", "translated_description": "Problems 13-14 starting on page 398", "image_url": "https://img.youtube.com/vi/Pj-dYWwdlDA/hqdefault.jpg", "youtube_id": "Pj-dYWwdlDA", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-5"}, {"translated_youtube_id": "I1CPivr1Rqs", "relative_url": "/video/sat-prep--test-1-section-3-part-6", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-6", "duration": 593, "translated_title": "SAT Prep: Test 1 Section 3 Part 6", "translated_description_html": "Problems 15-16 starting on page 399", "id": "25905", "description_html": "Problems 15-16 starting on page 399", "title": "SAT Prep: Test 1 Section 3 Part 6", "progress_key": "v25905", "edit_slug": "edit/v/25905", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-16 starting on page 399", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I1CPivr1Rqs.mp4/I1CPivr1Rqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I1CPivr1Rqs.mp4/I1CPivr1Rqs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I1CPivr1Rqs.m3u8/I1CPivr1Rqs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I1CPivr1Rqs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25905", "sha": "6c4d3acb7f073aa1ed9a87b745f2d2b174375fdb", "translated_description": "Problems 15-16 starting on page 399", "image_url": "https://img.youtube.com/vi/I1CPivr1Rqs/hqdefault.jpg", "youtube_id": "I1CPivr1Rqs", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-6"}, {"translated_youtube_id": "r_MPl6c23cc", "relative_url": "/video/sat-prep--test-1-section-3-part-7", "has_questions": false, "keywords": "SAT, preparation, math, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-7", "duration": 448, "translated_title": "SAT Prep: Test 1 Section 3 Part 7", "translated_description_html": "Problems 17-18 starting on page 399", "id": "25907", "description_html": "Problems 17-18 starting on page 399", "title": "SAT Prep: Test 1 Section 3 Part 7", "progress_key": "v25907", "edit_slug": "edit/v/25907", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-18 starting on page 399", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-7", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r_MPl6c23cc.mp4/r_MPl6c23cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r_MPl6c23cc.mp4/r_MPl6c23cc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r_MPl6c23cc.m3u8/r_MPl6c23cc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r_MPl6c23cc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25907", "sha": "dbf9a05a75bb9dd07167953d8ad70bf0717c1873", "translated_description": "Problems 17-18 starting on page 399", "image_url": "https://img.youtube.com/vi/r_MPl6c23cc/hqdefault.jpg", "youtube_id": "r_MPl6c23cc", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-7"}, {"translated_youtube_id": "281GDzKgNIw", "relative_url": "/video/sat-prep--test-1-section-3-part-8", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-3-part-8", "duration": 589, "translated_title": "SAT Prep: Test 1 Section 3 Part 8", "translated_description_html": "Problems 19-20 starting on page 400", "id": "25909", "description_html": "Problems 19-20 starting on page 400", "title": "SAT Prep: Test 1 Section 3 Part 8", "progress_key": "v25909", "edit_slug": "edit/v/25909", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 19-20 starting on page 400", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-3-part-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/281GDzKgNIw.mp4/281GDzKgNIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/281GDzKgNIw.mp4/281GDzKgNIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/281GDzKgNIw.m3u8/281GDzKgNIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=281GDzKgNIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25909", "sha": "f61e627ea2f09d8a4460566ff4b1b1ce97da5f63", "translated_description": "Problems 19-20 starting on page 400", "image_url": "https://img.youtube.com/vi/281GDzKgNIw/hqdefault.jpg", "youtube_id": "281GDzKgNIw", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-3-part-8"}, {"translated_youtube_id": "VUY_9-dl9Ro", "relative_url": "/video/sat-prep--test-1-section-6-part-1", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-1", "duration": 496, "translated_title": "SAT Prep: Test 1 Section 6 Part 1", "translated_description_html": "Problems 1-4 starting on page 407", "id": "25911", "description_html": "Problems 1-4 starting on page 407", "title": "SAT Prep: Test 1 Section 6 Part 1", "progress_key": "v25911", "edit_slug": "edit/v/25911", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-4 starting on page 407", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VUY_9-dl9Ro.mp4/VUY_9-dl9Ro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VUY_9-dl9Ro.mp4/VUY_9-dl9Ro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VUY_9-dl9Ro.m3u8/VUY_9-dl9Ro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VUY_9-dl9Ro&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25911", "sha": "f5e2382b759decbc7c524893f71ff26d415f0b58", "translated_description": "Problems 1-4 starting on page 407", "image_url": "https://img.youtube.com/vi/VUY_9-dl9Ro/hqdefault.jpg", "youtube_id": "VUY_9-dl9Ro", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-1"}, {"translated_youtube_id": "EWsVUf6ZFgw", "relative_url": "/video/sat-prep--test-1-section-6-part-2", "has_questions": false, "keywords": "SAT, Prep, math, khan, probability, proportionate", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-2", "duration": 519, "translated_title": "SAT Prep: Test 1 Section 6 Part 2", "translated_description_html": "Problems 5-6 starting on page 408", "id": "25913", "description_html": "Problems 5-6 starting on page 408", "title": "SAT Prep: Test 1 Section 6 Part 2", "progress_key": "v25913", "edit_slug": "edit/v/25913", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 5-6 starting on page 408", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EWsVUf6ZFgw.mp4/EWsVUf6ZFgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EWsVUf6ZFgw.mp4/EWsVUf6ZFgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EWsVUf6ZFgw.m3u8/EWsVUf6ZFgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EWsVUf6ZFgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25913", "sha": "ba3383dc243d3dad8915959dd0389d6fc42ab77d", "translated_description": "Problems 5-6 starting on page 408", "image_url": "https://img.youtube.com/vi/EWsVUf6ZFgw/hqdefault.jpg", "youtube_id": "EWsVUf6ZFgw", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-2"}, {"translated_youtube_id": "qCFS9sM3U4w", "relative_url": "/video/sat-prep--test-1-section-6-part-3", "has_questions": false, "keywords": "SAT, math, prep, khan, salman, sal", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-3", "duration": 541, "translated_title": "SAT Prep: Test 1 Section 6 Part 3", "translated_description_html": "Problems 6-10 starting on page 409", "id": "25915", "description_html": "Problems 6-10 starting on page 409", "title": "SAT Prep: Test 1 Section 6 Part 3", "progress_key": "v25915", "edit_slug": "edit/v/25915", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 6-10 starting on page 409", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qCFS9sM3U4w.mp4/qCFS9sM3U4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qCFS9sM3U4w.mp4/qCFS9sM3U4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qCFS9sM3U4w.m3u8/qCFS9sM3U4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qCFS9sM3U4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25915", "sha": "25148f4c3c016ecc40c27231dfe7c5e350c0678e", "translated_description": "Problems 6-10 starting on page 409", "image_url": "https://img.youtube.com/vi/qCFS9sM3U4w/hqdefault.jpg", "youtube_id": "qCFS9sM3U4w", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-3"}, {"translated_youtube_id": "j-G31l9tETk", "relative_url": "/video/sat-prep--test-1-section-6-part-4", "has_questions": false, "keywords": "Math, SAT, S.A.T., prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-4", "duration": 589, "translated_title": "SAT Prep: Test 1 Section 6 Part 4", "translated_description_html": "Problems 11-14 on page 411", "id": "25917", "description_html": "Problems 11-14 on page 411", "title": "SAT Prep: Test 1 Section 6 Part 4", "progress_key": "v25917", "edit_slug": "edit/v/25917", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 11-14 on page 411", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j-G31l9tETk.mp4/j-G31l9tETk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j-G31l9tETk.mp4/j-G31l9tETk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j-G31l9tETk.m3u8/j-G31l9tETk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j-G31l9tETk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25917", "sha": "57c6471c4c4fc261d91e946a3951d702d18dc793", "translated_description": "Problems 11-14 on page 411", "image_url": "https://img.youtube.com/vi/j-G31l9tETk/hqdefault.jpg", "youtube_id": "j-G31l9tETk", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-4"}, {"translated_youtube_id": "zYltrrFpuRU", "relative_url": "/video/sat-prep--test-1-section-6-part-5", "has_questions": false, "keywords": "SAT, math, test, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-5", "duration": 590, "translated_title": "SAT Prep: Test 1 Section 6 Part 5", "translated_description_html": "Problems 15-17 on page 412", "id": "25919", "description_html": "Problems 15-17 on page 412", "title": "SAT Prep: Test 1 Section 6 Part 5", "progress_key": "v25919", "edit_slug": "edit/v/25919", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 15-17 on page 412", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zYltrrFpuRU.mp4/zYltrrFpuRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zYltrrFpuRU.mp4/zYltrrFpuRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zYltrrFpuRU.m3u8/zYltrrFpuRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zYltrrFpuRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25919", "sha": "ab3a433df0617b4cdbac2d390ee987e2e78a93ed", "translated_description": "Problems 15-17 on page 412", "image_url": "https://img.youtube.com/vi/zYltrrFpuRU/hqdefault.jpg", "youtube_id": "zYltrrFpuRU", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-5"}, {"translated_youtube_id": "-UtUjx4nj-E", "relative_url": "/video/sat-prep--test-1-section-6-part-6", "has_questions": false, "keywords": "SAT, math, preparation", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-6-part-6", "duration": 498, "translated_title": "SAT Prep: Test 1 Section 6 Part 6", "translated_description_html": "A little more on problem 17 and problem 18 on page 412.", "id": "25921", "description_html": "A little more on problem 17 and problem 18 on page 412.", "title": "SAT Prep: Test 1 Section 6 Part 6", "progress_key": "v25921", "edit_slug": "edit/v/25921", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little more on problem 17 and problem 18 on page 412.", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-6-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-UtUjx4nj-E.mp4/-UtUjx4nj-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-UtUjx4nj-E.mp4/-UtUjx4nj-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-UtUjx4nj-E.m3u8/-UtUjx4nj-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-UtUjx4nj-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25921", "sha": "0a42becaca401086926825417e7360d7035505bb", "translated_description": "A little more on problem 17 and problem 18 on page 412.", "image_url": "https://img.youtube.com/vi/-UtUjx4nj-E/hqdefault.jpg", "youtube_id": "-UtUjx4nj-E", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-6-part-6"}, {"translated_youtube_id": "MFAuLptYXFE", "relative_url": "/video/sat-prep--test-1-section-9-part-1", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-9-part-1", "duration": 580, "translated_title": "SAT Prep: Test 1 Section 9 Part 1", "translated_description_html": "Problems 1-4 starting on page 423", "id": "25923", "description_html": "Problems 1-4 starting on page 423", "title": "SAT Prep: Test 1 Section 9 Part 1", "progress_key": "v25923", "edit_slug": "edit/v/25923", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-4 starting on page 423", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-9-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MFAuLptYXFE.mp4/MFAuLptYXFE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MFAuLptYXFE.mp4/MFAuLptYXFE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MFAuLptYXFE.m3u8/MFAuLptYXFE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MFAuLptYXFE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25923", "sha": "5e473eea6e07e56f7e02b043ceefe737edb1ee48", "translated_description": "Problems 1-4 starting on page 423", "image_url": "https://img.youtube.com/vi/MFAuLptYXFE/hqdefault.jpg", "youtube_id": "MFAuLptYXFE", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-9-part-1"}, {"translated_youtube_id": "fX0ZVflYqf0", "relative_url": "/video/sat-prep--test-1-section-9-part-2", "has_questions": false, "keywords": "math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-9-part-2", "duration": 590, "translated_title": "SAT Prep: Test 1 Section 9 Part 2", "translated_description_html": "Problems 5-8 starting on page 424", "id": "25925", "description_html": "Problems 5-8 starting on page 424", "title": "SAT Prep: Test 1 Section 9 Part 2", "progress_key": "v25925", "edit_slug": "edit/v/25925", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5-8 starting on page 424", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-9-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fX0ZVflYqf0.mp4/fX0ZVflYqf0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fX0ZVflYqf0.mp4/fX0ZVflYqf0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fX0ZVflYqf0.m3u8/fX0ZVflYqf0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fX0ZVflYqf0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25925", "sha": "63aa98f1c7ca75b86d5d37c38d9522f4cb80b950", "translated_description": "Problems 5-8 starting on page 424", "image_url": "https://img.youtube.com/vi/fX0ZVflYqf0/hqdefault.jpg", "youtube_id": "fX0ZVflYqf0", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-9-part-2"}, {"translated_youtube_id": "D4UfrKzUVz8", "relative_url": "/video/sat-prep--test-1-section-9-part-3", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-9-part-3", "duration": 594, "translated_title": "SAT Prep: Test 1 Section 9 Part 3", "translated_description_html": "Questions 9-11 starting on page 425", "id": "25927", "description_html": "Questions 9-11 starting on page 425", "title": "SAT Prep: Test 1 Section 9 Part 3", "progress_key": "v25927", "edit_slug": "edit/v/25927", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Questions 9-11 starting on page 425", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-9-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D4UfrKzUVz8.mp4/D4UfrKzUVz8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D4UfrKzUVz8.mp4/D4UfrKzUVz8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D4UfrKzUVz8.m3u8/D4UfrKzUVz8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D4UfrKzUVz8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25927", "sha": "0fd0b48063efdfd3e03aea42dec297722e9e13dc", "translated_description": "Questions 9-11 starting on page 425", "image_url": "https://img.youtube.com/vi/D4UfrKzUVz8/hqdefault.jpg", "youtube_id": "D4UfrKzUVz8", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-9-part-3"}, {"translated_youtube_id": "5tptL-SjfHY", "relative_url": "/video/sat-prep--test-1-section-9-part-4", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-9-part-4", "duration": 456, "translated_title": "SAT Prep: Test 1 Section 9 Part 4", "translated_description_html": "Problems 12-14 on page 426", "id": "25929", "description_html": "Problems 12-14 on page 426", "title": "SAT Prep: Test 1 Section 9 Part 4", "progress_key": "v25929", "edit_slug": "edit/v/25929", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-14 on page 426", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-9-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5tptL-SjfHY.mp4/5tptL-SjfHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5tptL-SjfHY.mp4/5tptL-SjfHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5tptL-SjfHY.m3u8/5tptL-SjfHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5tptL-SjfHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25929", "sha": "79e5157cd5dd694c58227bef3a511d00417803c7", "translated_description": "Problems 12-14 on page 426", "image_url": "https://img.youtube.com/vi/5tptL-SjfHY/hqdefault.jpg", "youtube_id": "5tptL-SjfHY", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-9-part-4"}, {"translated_youtube_id": "QWtZ9jpN_3k", "relative_url": "/video/sat-prep--test-1-section-9--part-5", "has_questions": false, "keywords": "Scholastic, Aptitude, Test, SAT, math, preparation", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-1-section-9--part-5", "duration": 344, "translated_title": "SAT Prep: Test 1 Section 9 Part 5", "translated_description_html": "Problems 15-16 on page 427", "id": "25931", "description_html": "Problems 15-16 on page 427", "title": "SAT Prep: Test 1 Section 9 Part 5", "progress_key": "v25931", "edit_slug": "edit/v/25931", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-16 on page 427", "extra_properties": null, "node_slug": "v/sat-prep--test-1-section-9--part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QWtZ9jpN_3k.mp4/QWtZ9jpN_3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QWtZ9jpN_3k.mp4/QWtZ9jpN_3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QWtZ9jpN_3k.m3u8/QWtZ9jpN_3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QWtZ9jpN_3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25931", "sha": "4b7cd3b9c4178d55ec06d64c50f93d57c11e0fba", "translated_description": "Problems 15-16 on page 427", "image_url": "https://img.youtube.com/vi/QWtZ9jpN_3k/hqdefault.jpg", "youtube_id": "QWtZ9jpN_3k", "content_kind": "Video", "readable_id": "sat-prep--test-1-section-9--part-5"}, {"translated_youtube_id": "0QvGgONYDeA", "relative_url": "/video/sat-prep--test-2-section-3-part-1", "has_questions": false, "keywords": "SAT, prep, math, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-1", "duration": 517, "translated_title": "SAT Prep: Test 2 Section 3 part 1", "translated_description_html": "Problems 1-4 starting on page 459", "id": "25933", "description_html": "Problems 1-4 starting on page 459", "title": "SAT Prep: Test 2 Section 3 part 1", "progress_key": "v25933", "edit_slug": "edit/v/25933", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-4 starting on page 459", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0QvGgONYDeA.mp4/0QvGgONYDeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0QvGgONYDeA.mp4/0QvGgONYDeA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0QvGgONYDeA.m3u8/0QvGgONYDeA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0QvGgONYDeA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25933", "sha": "ff5dac4457b668ab8db4d06311e36379bf58e744", "translated_description": "Problems 1-4 starting on page 459", "image_url": "https://img.youtube.com/vi/0QvGgONYDeA/hqdefault.jpg", "youtube_id": "0QvGgONYDeA", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-1"}, {"translated_youtube_id": "jG_R8MyQ53U", "relative_url": "/video/sat-prep--test-2-section-3-part-2", "has_questions": false, "keywords": "SAT, Prep, math, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-2", "duration": 601, "translated_title": "SAT Prep: Test 2 Section 3 Part 2", "translated_description_html": "Problems 5-8 starting on page 460", "id": "25935", "description_html": "Problems 5-8 starting on page 460", "title": "SAT Prep: Test 2 Section 3 Part 2", "progress_key": "v25935", "edit_slug": "edit/v/25935", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5-8 starting on page 460", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jG_R8MyQ53U.mp4/jG_R8MyQ53U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jG_R8MyQ53U.mp4/jG_R8MyQ53U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jG_R8MyQ53U.m3u8/jG_R8MyQ53U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jG_R8MyQ53U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25935", "sha": "fde650700e47c2a88025d3e52ca2505059a78a62", "translated_description": "Problems 5-8 starting on page 460", "image_url": "https://img.youtube.com/vi/jG_R8MyQ53U/hqdefault.jpg", "youtube_id": "jG_R8MyQ53U", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-2"}, {"translated_youtube_id": "x7RYmTE3X-Y", "relative_url": "/video/sat-prep--test-2-section-3-part-3", "has_questions": false, "keywords": "math, sat, prep, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-3", "duration": 566, "translated_title": "SAT Prep: Test 2 Section 3 Part 3", "translated_description_html": "Questions 9-12 starting on page 461", "id": "25937", "description_html": "Questions 9-12 starting on page 461", "title": "SAT Prep: Test 2 Section 3 Part 3", "progress_key": "v25937", "edit_slug": "edit/v/25937", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Questions 9-12 starting on page 461", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x7RYmTE3X-Y.mp4/x7RYmTE3X-Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x7RYmTE3X-Y.mp4/x7RYmTE3X-Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x7RYmTE3X-Y.m3u8/x7RYmTE3X-Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x7RYmTE3X-Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25937", "sha": "646930bf178b1127e10a25d7a30fde53c8e4d84d", "translated_description": "Questions 9-12 starting on page 461", "image_url": "https://img.youtube.com/vi/x7RYmTE3X-Y/hqdefault.jpg", "youtube_id": "x7RYmTE3X-Y", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-3"}, {"translated_youtube_id": "t9_by0bbp48", "relative_url": "/video/sat-prep--test-2-section-3-part-4", "has_questions": false, "keywords": "SAT, Prep, math, geometry, slope, prime, factorization, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-4", "duration": 599, "translated_title": "SAT Prep: Test 2 Section 3 Part 4", "translated_description_html": "Problems 13-16 starting on page 462", "id": "25939", "description_html": "Problems 13-16 starting on page 462", "title": "SAT Prep: Test 2 Section 3 Part 4", "progress_key": "v25939", "edit_slug": "edit/v/25939", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 13-16 starting on page 462", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t9_by0bbp48.mp4/t9_by0bbp48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t9_by0bbp48.mp4/t9_by0bbp48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t9_by0bbp48.m3u8/t9_by0bbp48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t9_by0bbp48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25939", "sha": "2ffcb769c5828bd877ac5dc5c930d41bb40ea184", "translated_description": "Problems 13-16 starting on page 462", "image_url": "https://img.youtube.com/vi/t9_by0bbp48/hqdefault.jpg", "youtube_id": "t9_by0bbp48", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-4"}, {"translated_youtube_id": "oRWMtRqR6yc", "relative_url": "/video/sat-prep--test-2-section-3-part-5", "has_questions": false, "keywords": "SAT, Prep, math, geometry", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-5", "duration": 529, "translated_title": "SAT Prep: Test 2 Section 3 Part 5", "translated_description_html": "Problems 17-19 starting on page 463", "id": "25941", "description_html": "Problems 17-19 starting on page 463", "title": "SAT Prep: Test 2 Section 3 Part 5", "progress_key": "v25941", "edit_slug": "edit/v/25941", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-19 starting on page 463", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oRWMtRqR6yc.mp4/oRWMtRqR6yc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oRWMtRqR6yc.mp4/oRWMtRqR6yc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oRWMtRqR6yc.m3u8/oRWMtRqR6yc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oRWMtRqR6yc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25941", "sha": "2b49fa31f362b9de5707618de0bac8578b914211", "translated_description": "Problems 17-19 starting on page 463", "image_url": "https://img.youtube.com/vi/oRWMtRqR6yc/hqdefault.jpg", "youtube_id": "oRWMtRqR6yc", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-5"}, {"translated_youtube_id": "FEEsj1puK9k", "relative_url": "/video/sat-prep--test-2-section-3-part-6", "has_questions": false, "keywords": "SAT, Prep, percentage, math, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-3-part-6", "duration": 127, "translated_title": "SAT Prep: Test 2 Section 3 Part 6", "translated_description_html": "Problem 20 on page 464", "id": "25943", "description_html": "Problem 20 on page 464", "title": "SAT Prep: Test 2 Section 3 Part 6", "progress_key": "v25943", "edit_slug": "edit/v/25943", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problem 20 on page 464", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-3-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FEEsj1puK9k.mp4/FEEsj1puK9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FEEsj1puK9k.mp4/FEEsj1puK9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FEEsj1puK9k.m3u8/FEEsj1puK9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FEEsj1puK9k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25943", "sha": "bff752b01d9b38fb662043176cf2f34b5a4bd273", "translated_description": "Problem 20 on page 464", "image_url": "https://img.youtube.com/vi/FEEsj1puK9k/hqdefault.jpg", "youtube_id": "FEEsj1puK9k", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-3-part-6"}, {"translated_youtube_id": "4mUAiRKIhj0", "relative_url": "/video/sat-prep--test-2-section-6-part-1", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-1", "duration": 600, "translated_title": "SAT Prep: Test 2 Section 6 Part 1", "translated_description_html": "Problems 1-6 on starting on page 471", "id": "25945", "description_html": "Problems 1-6 on starting on page 471", "title": "SAT Prep: Test 2 Section 6 Part 1", "progress_key": "v25945", "edit_slug": "edit/v/25945", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 on starting on page 471", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mUAiRKIhj0.mp4/4mUAiRKIhj0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4mUAiRKIhj0.mp4/4mUAiRKIhj0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mUAiRKIhj0.m3u8/4mUAiRKIhj0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4mUAiRKIhj0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25945", "sha": "08164e118b44e5871e88c638efcc510f61757025", "translated_description": "Problems 1-6 on starting on page 471", "image_url": "https://img.youtube.com/vi/4mUAiRKIhj0/hqdefault.jpg", "youtube_id": "4mUAiRKIhj0", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-1"}, {"translated_youtube_id": "MuhPEK5_kog", "relative_url": "/video/sat-prep--test-2-section-6-part-2", "has_questions": false, "keywords": "SAT, Prep, Mathematics", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-2", "duration": 557, "translated_title": "SAT Prep: Test 2 Section 6 Part 2", "translated_description_html": "Problems 6-9 starting on page 472", "id": "25947", "description_html": "Problems 6-9 starting on page 472", "title": "SAT Prep: Test 2 Section 6 Part 2", "progress_key": "v25947", "edit_slug": "edit/v/25947", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 6-9 starting on page 472", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MuhPEK5_kog.mp4/MuhPEK5_kog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MuhPEK5_kog.mp4/MuhPEK5_kog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MuhPEK5_kog.m3u8/MuhPEK5_kog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MuhPEK5_kog&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25947", "sha": "692431e0ff81f91fb53586bd00547cd3fbe6b8fa", "translated_description": "Problems 6-9 starting on page 472", "image_url": "https://img.youtube.com/vi/MuhPEK5_kog/hqdefault.jpg", "youtube_id": "MuhPEK5_kog", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-2"}, {"translated_youtube_id": "JqzTKxFpzco", "relative_url": "/video/sat-prep--test-2-section-6-part-3", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-3", "duration": 559, "translated_title": "SAT Prep: Test 2 Section 6 Part 3", "translated_description_html": "Problems 10-14 starting on page 474 (but I get the wrong answer for 14 because of a sal malfunction)", "id": "25949", "description_html": "Problems 10-14 starting on page 474 (but I get the wrong answer for 14 because of a sal malfunction)", "title": "SAT Prep: Test 2 Section 6 Part 3", "progress_key": "v25949", "edit_slug": "edit/v/25949", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-14 starting on page 474 (but I get the wrong answer for 14 because of a sal malfunction)", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JqzTKxFpzco.mp4/JqzTKxFpzco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JqzTKxFpzco.mp4/JqzTKxFpzco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JqzTKxFpzco.m3u8/JqzTKxFpzco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JqzTKxFpzco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25949", "sha": "3dd774fc6496f8e67174aa5b32bd62c6728ab3b3", "translated_description": "Problems 10-14 starting on page 474 (but I get the wrong answer for 14 because of a sal malfunction)", "image_url": "https://img.youtube.com/vi/JqzTKxFpzco/hqdefault.jpg", "youtube_id": "JqzTKxFpzco", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-3"}, {"translated_youtube_id": "uH5qmnegzcY", "relative_url": "/video/sat-prep--test-2-section-6-part-4", "has_questions": false, "keywords": "SAT, Math, sequence, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-4", "duration": 85, "translated_title": "SAT Prep: Test 2 Section 6 Part 4", "translated_description_html": "A redo of problem 14 on page 475 because I can't do arithmetic", "id": "25951", "description_html": "A redo of problem 14 on page 475 because I can't do arithmetic", "title": "SAT Prep: Test 2 Section 6 Part 4", "progress_key": "v25951", "edit_slug": "edit/v/25951", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A redo of problem 14 on page 475 because I can't do arithmetic", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uH5qmnegzcY.mp4/uH5qmnegzcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uH5qmnegzcY.mp4/uH5qmnegzcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uH5qmnegzcY.m3u8/uH5qmnegzcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uH5qmnegzcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25951", "sha": "4969546d68f211a2fa15ed2f075cb534954f6764", "translated_description": "A redo of problem 14 on page 475 because I can't do arithmetic", "image_url": "https://img.youtube.com/vi/uH5qmnegzcY/hqdefault.jpg", "youtube_id": "uH5qmnegzcY", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-4"}, {"translated_youtube_id": "f4drCCsnOt8", "relative_url": "/video/sat-prep--test-2-section-6-part-5", "has_questions": false, "keywords": "Math, SAT, problems, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-5", "duration": 529, "translated_title": "SAT Prep: Test 2 Section 6 Part 5", "translated_description_html": "Problems 15-16 on page 475", "id": "25953", "description_html": "Problems 15-16 on page 475", "title": "SAT Prep: Test 2 Section 6 Part 5", "progress_key": "v25953", "edit_slug": "edit/v/25953", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-16 on page 475", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f4drCCsnOt8.mp4/f4drCCsnOt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f4drCCsnOt8.mp4/f4drCCsnOt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f4drCCsnOt8.m3u8/f4drCCsnOt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f4drCCsnOt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25953", "sha": "ef3baf80e8c7bd4b1ae99ec2726dbf05e73aed1d", "translated_description": "Problems 15-16 on page 475", "image_url": "https://img.youtube.com/vi/f4drCCsnOt8/hqdefault.jpg", "youtube_id": "f4drCCsnOt8", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-5"}, {"translated_youtube_id": "EDEg7SY2-VU", "relative_url": "/video/sat-prep--test-2-section-6-part-6", "has_questions": false, "keywords": "SAT, Prep, Math, khan", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-6-part-6", "duration": 329, "translated_title": "SAT Prep: Test 2 Section 6 Part 6", "translated_description_html": "Problems 17-18 on page 476", "id": "25955", "description_html": "Problems 17-18 on page 476", "title": "SAT Prep: Test 2 Section 6 Part 6", "progress_key": "v25955", "edit_slug": "edit/v/25955", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-18 on page 476", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-6-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EDEg7SY2-VU.mp4/EDEg7SY2-VU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EDEg7SY2-VU.mp4/EDEg7SY2-VU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EDEg7SY2-VU.m3u8/EDEg7SY2-VU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EDEg7SY2-VU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25955", "sha": "3d8c1a5a18ca4691d25de93226006db6a16fac6a", "translated_description": "Problems 17-18 on page 476", "image_url": "https://img.youtube.com/vi/EDEg7SY2-VU/hqdefault.jpg", "youtube_id": "EDEg7SY2-VU", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-6-part-6"}, {"translated_youtube_id": "oVkzin26KJk", "relative_url": "/video/sat-prep--test-2-section-9-part-1", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-9-part-1", "duration": 548, "translated_title": "SAT Prep: Test 2 Section 9 Part 1", "translated_description_html": "Problems 1-5 starting on page 487", "id": "25957", "description_html": "Problems 1-5 starting on page 487", "title": "SAT Prep: Test 2 Section 9 Part 1", "progress_key": "v25957", "edit_slug": "edit/v/25957", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 487", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-9-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oVkzin26KJk.mp4/oVkzin26KJk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oVkzin26KJk.mp4/oVkzin26KJk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oVkzin26KJk.m3u8/oVkzin26KJk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oVkzin26KJk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25957", "sha": "69ebef14c18d4a26e9a16ee9e4aa289b159cd747", "translated_description": "Problems 1-5 starting on page 487", "image_url": "https://img.youtube.com/vi/oVkzin26KJk/hqdefault.jpg", "youtube_id": "oVkzin26KJk", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-9-part-1"}, {"translated_youtube_id": "nognGA0mtcU", "relative_url": "/video/sat-prep--test-2-section-9-part-2", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-9-part-2", "duration": 539, "translated_title": "SAT Prep: Test 2 Section 9 Part 2", "translated_description_html": "Problems 6-9 starting on page 488", "id": "25959", "description_html": "Problems 6-9 starting on page 488", "title": "SAT Prep: Test 2 Section 9 Part 2", "progress_key": "v25959", "edit_slug": "edit/v/25959", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 6-9 starting on page 488", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-9-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nognGA0mtcU.mp4/nognGA0mtcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nognGA0mtcU.mp4/nognGA0mtcU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nognGA0mtcU.m3u8/nognGA0mtcU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nognGA0mtcU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25959", "sha": "59fe3a1be6e5e8aa77a058bff7374ec6d88b6440", "translated_description": "Problems 6-9 starting on page 488", "image_url": "https://img.youtube.com/vi/nognGA0mtcU/hqdefault.jpg", "youtube_id": "nognGA0mtcU", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-9-part-2"}, {"translated_youtube_id": "n30T7Uc6IOg", "relative_url": "/video/sat-prep--test-2-section-9-part-3", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-9-part-3", "duration": 539, "translated_title": "SAT Prep: Test 2 Section 9 Part 3", "translated_description_html": "Problems 10-12 starting on page 489", "id": "25961", "description_html": "Problems 10-12 starting on page 489", "title": "SAT Prep: Test 2 Section 9 Part 3", "progress_key": "v25961", "edit_slug": "edit/v/25961", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-12 starting on page 489", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-9-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n30T7Uc6IOg.mp4/n30T7Uc6IOg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n30T7Uc6IOg.mp4/n30T7Uc6IOg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n30T7Uc6IOg.m3u8/n30T7Uc6IOg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n30T7Uc6IOg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25961", "sha": "fa9af2966218876997b26a3a9898733c507d4d32", "translated_description": "Problems 10-12 starting on page 489", "image_url": "https://img.youtube.com/vi/n30T7Uc6IOg/hqdefault.jpg", "youtube_id": "n30T7Uc6IOg", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-9-part-3"}, {"translated_youtube_id": "u1FZjRUC9MY", "relative_url": "/video/sat-prep--test-2-section-9-part-4", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-2-section-9-part-4", "duration": 511, "translated_title": "SAT Prep: Test 2 Section 9 Part 4", "translated_description_html": "Problems 13-16 on page 491", "id": "25963", "description_html": "Problems 13-16 on page 491", "title": "SAT Prep: Test 2 Section 9 Part 4", "progress_key": "v25963", "edit_slug": "edit/v/25963", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 13-16 on page 491", "extra_properties": null, "node_slug": "v/sat-prep--test-2-section-9-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1FZjRUC9MY.mp4/u1FZjRUC9MY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1FZjRUC9MY.mp4/u1FZjRUC9MY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u1FZjRUC9MY.m3u8/u1FZjRUC9MY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u1FZjRUC9MY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25963", "sha": "d6d8a1053dc2f56443409f3414b4bfb905cd5848", "translated_description": "Problems 13-16 on page 491", "image_url": "https://img.youtube.com/vi/u1FZjRUC9MY/hqdefault.jpg", "youtube_id": "u1FZjRUC9MY", "content_kind": "Video", "readable_id": "sat-prep--test-2-section-9-part-4"}, {"translated_youtube_id": "pCpLtKdMjSE", "relative_url": "/video/sat-prep--test-3-section-2-part-1", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-2-part-1", "duration": 527, "translated_title": "SAT Prep: Test 3 Section 2 Part 1", "translated_description_html": "Problems 1-5 starting on page 518", "id": "25965", "description_html": "Problems 1-5 starting on page 518", "title": "SAT Prep: Test 3 Section 2 Part 1", "progress_key": "v25965", "edit_slug": "edit/v/25965", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 518", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-2-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pCpLtKdMjSE.mp4/pCpLtKdMjSE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pCpLtKdMjSE.mp4/pCpLtKdMjSE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pCpLtKdMjSE.m3u8/pCpLtKdMjSE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pCpLtKdMjSE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25965", "sha": "2dd225c4c155d86c66b620766e85e07c9dbb53d2", "translated_description": "Problems 1-5 starting on page 518", "image_url": "https://img.youtube.com/vi/pCpLtKdMjSE/hqdefault.jpg", "youtube_id": "pCpLtKdMjSE", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-2-part-1"}, {"translated_youtube_id": "YsKgw5S7Plg", "relative_url": "/video/sat-prep--test-3-section-2-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-2-part-2", "duration": 570, "translated_title": "SAT Prep: Test 3 Section 2 Part 2", "translated_description_html": "Problems 6-10 starting on page 519", "id": "25967", "description_html": "Problems 6-10 starting on page 519", "title": "SAT Prep: Test 3 Section 2 Part 2", "progress_key": "v25967", "edit_slug": "edit/v/25967", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 6-10 starting on page 519", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-2-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YsKgw5S7Plg.mp4/YsKgw5S7Plg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YsKgw5S7Plg.mp4/YsKgw5S7Plg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YsKgw5S7Plg.m3u8/YsKgw5S7Plg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YsKgw5S7Plg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25967", "sha": "bd838a6a8e2d1678651a354769fc66bc8f794b6c", "translated_description": "Problems 6-10 starting on page 519", "image_url": "https://img.youtube.com/vi/YsKgw5S7Plg/hqdefault.jpg", "youtube_id": "YsKgw5S7Plg", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-2-part-2"}, {"translated_youtube_id": "fRRc-3sJuwU", "relative_url": "/video/sat-prep--test-3-section-2-part-3", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-2-part-3", "duration": 581, "translated_title": "SAT Prep: Test 3 Section 2 Part 3", "translated_description_html": "Problems 11-14 on page 521", "id": "25969", "description_html": "Problems 11-14 on page 521", "title": "SAT Prep: Test 3 Section 2 Part 3", "progress_key": "v25969", "edit_slug": "edit/v/25969", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 11-14 on page 521", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-2-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fRRc-3sJuwU.mp4/fRRc-3sJuwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fRRc-3sJuwU.mp4/fRRc-3sJuwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fRRc-3sJuwU.m3u8/fRRc-3sJuwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fRRc-3sJuwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25969", "sha": "608c60003c466c10639345d89d5433c071589c5e", "translated_description": "Problems 11-14 on page 521", "image_url": "https://img.youtube.com/vi/fRRc-3sJuwU/hqdefault.jpg", "youtube_id": "fRRc-3sJuwU", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-2-part-3"}, {"translated_youtube_id": "79ZwFMRWidQ", "relative_url": "/video/sat-prep--test-3-section-2-part-4", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-2-part-4", "duration": 539, "translated_title": "SAT Prep: Test 3 Section 2 Part 4", "translated_description_html": "Problems 15-17 on page 522", "id": "25971", "description_html": "Problems 15-17 on page 522", "title": "SAT Prep: Test 3 Section 2 Part 4", "progress_key": "v25971", "edit_slug": "edit/v/25971", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-17 on page 522", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-2-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/79ZwFMRWidQ.mp4/79ZwFMRWidQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/79ZwFMRWidQ.mp4/79ZwFMRWidQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/79ZwFMRWidQ.m3u8/79ZwFMRWidQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=79ZwFMRWidQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25971", "sha": "a07990008091763880a61434295451e37d5461a9", "translated_description": "Problems 15-17 on page 522", "image_url": "https://img.youtube.com/vi/79ZwFMRWidQ/hqdefault.jpg", "youtube_id": "79ZwFMRWidQ", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-2-part-4"}, {"translated_youtube_id": "Eh0j5nHhS6I", "relative_url": "/video/test-3-section-2-part-5", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/test-3-section-2-part-5", "duration": 517, "translated_title": "SAT Prep: Test 3 Section 2 Part 5", "translated_description_html": "Problems 18-20 on starting on page 522", "id": "25973", "description_html": "Problems 18-20 on starting on page 522", "title": "SAT Prep: Test 3 Section 2 Part 5", "progress_key": "v25973", "edit_slug": "edit/v/25973", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 18-20 on starting on page 522", "extra_properties": null, "node_slug": "v/test-3-section-2-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Eh0j5nHhS6I.mp4/Eh0j5nHhS6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Eh0j5nHhS6I.mp4/Eh0j5nHhS6I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Eh0j5nHhS6I.m3u8/Eh0j5nHhS6I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Eh0j5nHhS6I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25973", "sha": "61fdfdacfbc1a75af94f7bdcf06faaca863db12b", "translated_description": "Problems 18-20 on starting on page 522", "image_url": "https://img.youtube.com/vi/Eh0j5nHhS6I/hqdefault.jpg", "youtube_id": "Eh0j5nHhS6I", "content_kind": "Video", "readable_id": "test-3-section-2-part-5"}, {"translated_youtube_id": "eS-XNHsh4TQ", "relative_url": "/video/sat-prep--test-3-section-4-part-1", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-4-part-1", "duration": 577, "translated_title": "SAT Prep: Test 3 Section 4 Part 1", "translated_description_html": "Problems 1-5 starting on page 530", "id": "25975", "description_html": "Problems 1-5 starting on page 530", "title": "SAT Prep: Test 3 Section 4 Part 1", "progress_key": "v25975", "edit_slug": "edit/v/25975", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 530", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-4-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eS-XNHsh4TQ.mp4/eS-XNHsh4TQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eS-XNHsh4TQ.mp4/eS-XNHsh4TQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eS-XNHsh4TQ.m3u8/eS-XNHsh4TQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eS-XNHsh4TQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25975", "sha": "781bc5fd5305ca60d925a13641984b2d1af4f9e9", "translated_description": "Problems 1-5 starting on page 530", "image_url": "https://img.youtube.com/vi/eS-XNHsh4TQ/hqdefault.jpg", "youtube_id": "eS-XNHsh4TQ", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-4-part-1"}, {"translated_youtube_id": "7rt8X3bIhf4", "relative_url": "/video/sat-prep--test-3-section-4-part-2", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-4-part-2", "duration": 556, "translated_title": "SAT Prep: Test 3 Section 4 Part 2", "translated_description_html": "Problems 5-9 starting on page 531", "id": "25977", "description_html": "Problems 5-9 starting on page 531", "title": "SAT Prep: Test 3 Section 4 Part 2", "progress_key": "v25977", "edit_slug": "edit/v/25977", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5-9 starting on page 531", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-4-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7rt8X3bIhf4.mp4/7rt8X3bIhf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7rt8X3bIhf4.mp4/7rt8X3bIhf4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7rt8X3bIhf4.m3u8/7rt8X3bIhf4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7rt8X3bIhf4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25977", "sha": "d8454759bfda2b2dab6677bef4f8793472958e21", "translated_description": "Problems 5-9 starting on page 531", "image_url": "https://img.youtube.com/vi/7rt8X3bIhf4/hqdefault.jpg", "youtube_id": "7rt8X3bIhf4", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-4-part-2"}, {"translated_youtube_id": "eZuR5-Jng0o", "relative_url": "/video/sat-prep--test-3-section-4-part-3", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-4-part-3", "duration": 584, "translated_title": "SAT Prep: Test 3 Section 4 Part 3", "translated_description_html": "Problems 10-13 starting on page 533", "id": "25979", "description_html": "Problems 10-13 starting on page 533", "title": "SAT Prep: Test 3 Section 4 Part 3", "progress_key": "v25979", "edit_slug": "edit/v/25979", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-13 starting on page 533", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-4-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eZuR5-Jng0o.mp4/eZuR5-Jng0o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eZuR5-Jng0o.mp4/eZuR5-Jng0o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eZuR5-Jng0o.m3u8/eZuR5-Jng0o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eZuR5-Jng0o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25979", "sha": "ffb82af915f37ffb2b6abdb767940a15f85769df", "translated_description": "Problems 10-13 starting on page 533", "image_url": "https://img.youtube.com/vi/eZuR5-Jng0o/hqdefault.jpg", "youtube_id": "eZuR5-Jng0o", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-4-part-3"}, {"translated_youtube_id": "-rH2wMlppjo", "relative_url": "/video/sat-prep--test-3-section-4-part-4", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-4-part-4", "duration": 585, "translated_title": "SAT Prep: Test 3 Section 4 Part 4", "translated_description_html": "Problems 14-17 and part of 18 starting on page 534.", "id": "25981", "description_html": "Problems 14-17 and part of 18 starting on page 534.", "title": "SAT Prep: Test 3 Section 4 Part 4", "progress_key": "v25981", "edit_slug": "edit/v/25981", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 14-17 and part of 18 starting on page 534.", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-4-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-rH2wMlppjo.mp4/-rH2wMlppjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-rH2wMlppjo.mp4/-rH2wMlppjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-rH2wMlppjo.m3u8/-rH2wMlppjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-rH2wMlppjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25981", "sha": "4c9e7ca3df96277f14bf50af75918c2a50092e16", "translated_description": "Problems 14-17 and part of 18 starting on page 534.", "image_url": "https://img.youtube.com/vi/-rH2wMlppjo/hqdefault.jpg", "youtube_id": "-rH2wMlppjo", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-4-part-4"}, {"translated_youtube_id": "z01WJ-HgoCY", "relative_url": "/video/sat-prep--test-3-section-4-part-5", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-4-part-5", "duration": 105, "translated_title": "SAT Prep: Test 3 Section 4 Part 5", "translated_description_html": "The leftover of problem 18 on page 535", "id": "25983", "description_html": "The leftover of problem 18 on page 535", "title": "SAT Prep: Test 3 Section 4 Part 5", "progress_key": "v25983", "edit_slug": "edit/v/25983", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The leftover of problem 18 on page 535", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-4-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z01WJ-HgoCY.mp4/z01WJ-HgoCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z01WJ-HgoCY.mp4/z01WJ-HgoCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z01WJ-HgoCY.m3u8/z01WJ-HgoCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z01WJ-HgoCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25983", "sha": "7873b077b64511ccddba7d4a8f7ef101ff9b73a0", "translated_description": "The leftover of problem 18 on page 535", "image_url": "https://img.youtube.com/vi/z01WJ-HgoCY/hqdefault.jpg", "youtube_id": "z01WJ-HgoCY", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-4-part-5"}, {"translated_youtube_id": "7FRFzf-MLnw", "relative_url": "/video/sat-prep--test-3-section-8-part-1", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-8-part-1", "duration": 588, "translated_title": "SAT Prep: Test 3 Section 8 Part 1", "translated_description_html": "Problems 1-6 starting on page 547", "id": "25985", "description_html": "Problems 1-6 starting on page 547", "title": "SAT Prep: Test 3 Section 8 Part 1", "progress_key": "v25985", "edit_slug": "edit/v/25985", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 547", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-8-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7FRFzf-MLnw.mp4/7FRFzf-MLnw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7FRFzf-MLnw.mp4/7FRFzf-MLnw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7FRFzf-MLnw.m3u8/7FRFzf-MLnw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7FRFzf-MLnw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25985", "sha": "4f6a456149289877d2010d7541b0b914f9a73dd1", "translated_description": "Problems 1-6 starting on page 547", "image_url": "https://img.youtube.com/vi/7FRFzf-MLnw/hqdefault.jpg", "youtube_id": "7FRFzf-MLnw", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-8-part-1"}, {"translated_youtube_id": "YFV6QFVxxPc", "relative_url": "/video/sat-prep--test-3-section-8-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-8-part-2", "duration": 532, "translated_title": "SAT Prep: Test 3 Section 8 Part 2", "translated_description_html": "Problems 7-9 page 549", "id": "25987", "description_html": "Problems 7-9 page 549", "title": "SAT Prep: Test 3 Section 8 Part 2", "progress_key": "v25987", "edit_slug": "edit/v/25987", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-9 page 549", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-8-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YFV6QFVxxPc.mp4/YFV6QFVxxPc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YFV6QFVxxPc.mp4/YFV6QFVxxPc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YFV6QFVxxPc.m3u8/YFV6QFVxxPc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YFV6QFVxxPc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25987", "sha": "8171b36d5df0749c6d5a07c6282774cccf336fc5", "translated_description": "Problems 7-9 page 549", "image_url": "https://img.youtube.com/vi/YFV6QFVxxPc/hqdefault.jpg", "youtube_id": "YFV6QFVxxPc", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-8-part-2"}, {"translated_youtube_id": "5yysruBGqEM", "relative_url": "/video/sat-prep--test-3-section-8-part-3", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-8-part-3", "duration": 584, "translated_title": "SAT Prep: Test 3 Section 8 Part 3", "translated_description_html": "Problems 10-14 starting on page 549", "id": "25989", "description_html": "Problems 10-14 starting on page 549", "title": "SAT Prep: Test 3 Section 8 Part 3", "progress_key": "v25989", "edit_slug": "edit/v/25989", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-14 starting on page 549", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-8-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5yysruBGqEM.mp4/5yysruBGqEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5yysruBGqEM.mp4/5yysruBGqEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5yysruBGqEM.m3u8/5yysruBGqEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5yysruBGqEM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25989", "sha": "5764d803aa02f419ada34952b807eb033fdbaa94", "translated_description": "Problems 10-14 starting on page 549", "image_url": "https://img.youtube.com/vi/5yysruBGqEM/hqdefault.jpg", "youtube_id": "5yysruBGqEM", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-8-part-3"}, {"translated_youtube_id": "eUi6VS3qc9A", "relative_url": "/video/sat-prep--test-3-section-8-part-4", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-3-section-8-part-4", "duration": 458, "translated_title": "SAT Prep: Test 3 Section 8 Part 4", "translated_description_html": "Problems 15-16 on page 551", "id": "25991", "description_html": "Problems 15-16 on page 551", "title": "SAT Prep: Test 3 Section 8 Part 4", "progress_key": "v25991", "edit_slug": "edit/v/25991", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-16 on page 551", "extra_properties": null, "node_slug": "v/sat-prep--test-3-section-8-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eUi6VS3qc9A.mp4/eUi6VS3qc9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eUi6VS3qc9A.mp4/eUi6VS3qc9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eUi6VS3qc9A.m3u8/eUi6VS3qc9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eUi6VS3qc9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25991", "sha": "fa7bf237511028c46fe6509e3a95ef2eba63b5d4", "translated_description": "Problems 15-16 on page 551", "image_url": "https://img.youtube.com/vi/eUi6VS3qc9A/hqdefault.jpg", "youtube_id": "eUi6VS3qc9A", "content_kind": "Video", "readable_id": "sat-prep--test-3-section-8-part-4"}, {"translated_youtube_id": "yMc71el5Bic", "relative_url": "/video/sat-prep--test-4-section-2-part-1", "has_questions": false, "keywords": "SAT, Prep, Math, examples, practice, mathematics", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-1", "duration": 575, "translated_title": "SAT Prep: Test 4 Section 2 Part 1", "translated_description_html": "Problems 1-6 starting on page 582", "id": "25993", "description_html": "Problems 1-6 starting on page 582", "title": "SAT Prep: Test 4 Section 2 Part 1", "progress_key": "v25993", "edit_slug": "edit/v/25993", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 1-6 starting on page 582", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:52:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yMc71el5Bic.mp4/yMc71el5Bic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yMc71el5Bic.mp4/yMc71el5Bic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yMc71el5Bic.m3u8/yMc71el5Bic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yMc71el5Bic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25993", "sha": "9a131fd8b78941ee4941e8f078c1ccc5f9f14604", "translated_description": "Problems 1-6 starting on page 582", "image_url": "https://img.youtube.com/vi/yMc71el5Bic/hqdefault.jpg", "youtube_id": "yMc71el5Bic", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-1"}, {"translated_youtube_id": "jKg5oFQXdJU", "relative_url": "/video/sat-prep--test-4-section-2-part-2", "has_questions": false, "keywords": "SAT, Prep, math, examples", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-2", "duration": 532, "translated_title": "SAT Prep: Test 4 Section 2 Part 2", "translated_description_html": "Problems 7-10 starting on page 583", "id": "25995", "description_html": "Problems 7-10 starting on page 583", "title": "SAT Prep: Test 4 Section 2 Part 2", "progress_key": "v25995", "edit_slug": "edit/v/25995", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 7-10 starting on page 583", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jKg5oFQXdJU.mp4/jKg5oFQXdJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jKg5oFQXdJU.mp4/jKg5oFQXdJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jKg5oFQXdJU.m3u8/jKg5oFQXdJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jKg5oFQXdJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25995", "sha": "48281db9d5d8caa9474dc79a0233bcaae18dc2eb", "translated_description": "Problems 7-10 starting on page 583", "image_url": "https://img.youtube.com/vi/jKg5oFQXdJU/hqdefault.jpg", "youtube_id": "jKg5oFQXdJU", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-2"}, {"translated_youtube_id": "qo2Omdf4UyA", "relative_url": "/video/sat-prep--test-4-section-2-part-3", "has_questions": false, "keywords": "SAT, Prep, math, practice, problems, examples", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-3", "duration": 588, "translated_title": "SAT Prep: Test 4 Section 2 Part 3", "translated_description_html": "Problems 11-14 starting on page 584", "id": "25997", "description_html": "Problems 11-14 starting on page 584", "title": "SAT Prep: Test 4 Section 2 Part 3", "progress_key": "v25997", "edit_slug": "edit/v/25997", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 11-14 starting on page 584", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qo2Omdf4UyA.mp4/qo2Omdf4UyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qo2Omdf4UyA.mp4/qo2Omdf4UyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qo2Omdf4UyA.m3u8/qo2Omdf4UyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qo2Omdf4UyA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25997", "sha": "247469c3482a36aaa9f019c7aff8198a40d32068", "translated_description": "Problems 11-14 starting on page 584", "image_url": "https://img.youtube.com/vi/qo2Omdf4UyA/hqdefault.jpg", "youtube_id": "qo2Omdf4UyA", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-3"}, {"translated_youtube_id": "KWBa0yxfi7U", "relative_url": "/video/sat-prep--test-4-section-2-part-4", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-4", "duration": 575, "translated_title": "SAT Prep: Test 4 Section 2 Part 4", "translated_description_html": "Problems 15-16 on page 585", "id": "25999", "description_html": "Problems 15-16 on page 585", "title": "SAT Prep: Test 4 Section 2 Part 4", "progress_key": "v25999", "edit_slug": "edit/v/25999", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 15-16 on page 585", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KWBa0yxfi7U.mp4/KWBa0yxfi7U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KWBa0yxfi7U.mp4/KWBa0yxfi7U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KWBa0yxfi7U.m3u8/KWBa0yxfi7U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KWBa0yxfi7U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25999", "sha": "bd7c18235112f3389a36b409260e1877e3e087d4", "translated_description": "Problems 15-16 on page 585", "image_url": "https://img.youtube.com/vi/KWBa0yxfi7U/hqdefault.jpg", "youtube_id": "KWBa0yxfi7U", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-4"}, {"translated_youtube_id": "HIzG0J7He2c", "relative_url": "/video/sat-prep--test-4-section-2-part-5", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-5", "duration": 595, "translated_title": "SAT Prep: Test 4 Section 2 Part 5", "translated_description_html": "Problems 17-18 on page 586", "id": "26001", "description_html": "Problems 17-18 on page 586", "title": "SAT Prep: Test 4 Section 2 Part 5", "progress_key": "v26001", "edit_slug": "edit/v/26001", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-18 on page 586", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HIzG0J7He2c.mp4/HIzG0J7He2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HIzG0J7He2c.mp4/HIzG0J7He2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HIzG0J7He2c.m3u8/HIzG0J7He2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HIzG0J7He2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26001", "sha": "b228fd499f0ea543190579d3e9e1b4e0a837f80e", "translated_description": "Problems 17-18 on page 586", "image_url": "https://img.youtube.com/vi/HIzG0J7He2c/hqdefault.jpg", "youtube_id": "HIzG0J7He2c", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-5"}, {"translated_youtube_id": "bKzw0C-Sh7A", "relative_url": "/video/sat-prep--test-4-section-2-part-6", "has_questions": false, "keywords": "SAT, Prep, mathematics, math, khan, academy", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-2-part-6", "duration": 462, "translated_title": "SAT Prep: Test 4 Section 2 Part 6", "translated_description_html": "Problems 19-20 on page 587", "id": "26003", "description_html": "Problems 19-20 on page 587", "title": "SAT Prep: Test 4 Section 2 Part 6", "progress_key": "v26003", "edit_slug": "edit/v/26003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 19-20 on page 587", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-2-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.mp4/bKzw0C-Sh7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.mp4/bKzw0C-Sh7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.m3u8/bKzw0C-Sh7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bKzw0C-Sh7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26003", "sha": "29e5620b6c90f50ce02267ce7afbb3c99d1d0873", "translated_description": "Problems 19-20 on page 587", "image_url": "https://img.youtube.com/vi/bKzw0C-Sh7A/hqdefault.jpg", "youtube_id": "bKzw0C-Sh7A", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-2-part-6"}, {"translated_youtube_id": "xfEZKZDiXqc", "relative_url": "/video/sat-prep--test-4-section-4-part-1", "has_questions": false, "keywords": "Math, SAT, help, practice, examples", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-4-part-1", "duration": 564, "translated_title": "SAT Prep: Test 4 Section 4 Part 1", "translated_description_html": "Problems 1-6 starting on page 594", "id": "26005", "description_html": "Problems 1-6 starting on page 594", "title": "SAT Prep: Test 4 Section 4 Part 1", "progress_key": "v26005", "edit_slug": "edit/v/26005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 594", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-4-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xfEZKZDiXqc.mp4/xfEZKZDiXqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xfEZKZDiXqc.mp4/xfEZKZDiXqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xfEZKZDiXqc.m3u8/xfEZKZDiXqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xfEZKZDiXqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26005", "sha": "5c44f64c50b88dd81abbcfbe18acba7ac74d6924", "translated_description": "Problems 1-6 starting on page 594", "image_url": "https://img.youtube.com/vi/xfEZKZDiXqc/hqdefault.jpg", "youtube_id": "xfEZKZDiXqc", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-4-part-1"}, {"translated_youtube_id": "Nr-EB7BKKJM", "relative_url": "/video/sat-prep--test-4-section-4-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-4-part-2", "duration": 593, "translated_title": "SAT Prep: Test 4 Section 4 Part 2", "translated_description_html": "Problems 7-11 starting on page 596", "id": "26007", "description_html": "Problems 7-11 starting on page 596", "title": "SAT Prep: Test 4 Section 4 Part 2", "progress_key": "v26007", "edit_slug": "edit/v/26007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-11 starting on page 596", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-4-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nr-EB7BKKJM.mp4/Nr-EB7BKKJM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nr-EB7BKKJM.mp4/Nr-EB7BKKJM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nr-EB7BKKJM.m3u8/Nr-EB7BKKJM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nr-EB7BKKJM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26007", "sha": "7e819a1ae498daf4d12da74718bbeadcd6a4b907", "translated_description": "Problems 7-11 starting on page 596", "image_url": "https://img.youtube.com/vi/Nr-EB7BKKJM/hqdefault.jpg", "youtube_id": "Nr-EB7BKKJM", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-4-part-2"}, {"translated_youtube_id": "eRzobkVm1Jg", "relative_url": "/video/sat-prep--test-4-section-4-part-3", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-4-part-3", "duration": 559, "translated_title": "SAT Prep: Test 4 Section 4 Part 3", "translated_description_html": "Problems 12-16 starting on page 598", "id": "26009", "description_html": "Problems 12-16 starting on page 598", "title": "SAT Prep: Test 4 Section 4 Part 3", "progress_key": "v26009", "edit_slug": "edit/v/26009", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-16 starting on page 598", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-4-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eRzobkVm1Jg.mp4/eRzobkVm1Jg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eRzobkVm1Jg.mp4/eRzobkVm1Jg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eRzobkVm1Jg.m3u8/eRzobkVm1Jg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eRzobkVm1Jg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26009", "sha": "5fd969a1a45e0243489c79af4b1a7e087d5e2a5d", "translated_description": "Problems 12-16 starting on page 598", "image_url": "https://img.youtube.com/vi/eRzobkVm1Jg/hqdefault.jpg", "youtube_id": "eRzobkVm1Jg", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-4-part-3"}, {"translated_youtube_id": "0mMr7iKWAjQ", "relative_url": "/video/sat-prep--test-4-section-4-part-4", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-4-part-4", "duration": 587, "translated_title": "SAT Prep: Test 4 Section 4 Part 4", "translated_description_html": "Problems 17-18 on page 599", "id": "26011", "description_html": "Problems 17-18 on page 599", "title": "SAT Prep: Test 4 Section 4 Part 4", "progress_key": "v26011", "edit_slug": "edit/v/26011", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-18 on page 599", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-4-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0mMr7iKWAjQ.mp4/0mMr7iKWAjQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0mMr7iKWAjQ.mp4/0mMr7iKWAjQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0mMr7iKWAjQ.m3u8/0mMr7iKWAjQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0mMr7iKWAjQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26011", "sha": "64bfb453dd9083a2ae39206056788f0a63c075c0", "translated_description": "Problems 17-18 on page 599", "image_url": "https://img.youtube.com/vi/0mMr7iKWAjQ/hqdefault.jpg", "youtube_id": "0mMr7iKWAjQ", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-4-part-4"}, {"translated_youtube_id": "Zkeq0j9CKcc", "relative_url": "/video/sat-prep--test-4-section-8-part-1", "has_questions": false, "keywords": "SAT, Prep, math, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-8-part-1", "duration": 541, "translated_title": "SAT Prep: Test 4 Section 8 Part 1", "translated_description_html": "Problems 1-7 starting on page 611", "id": "26013", "description_html": "Problems 1-7 starting on page 611", "title": "SAT Prep: Test 4 Section 8 Part 1", "progress_key": "v26013", "edit_slug": "edit/v/26013", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-7 starting on page 611", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-8-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.mp4/Zkeq0j9CKcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.mp4/Zkeq0j9CKcc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.m3u8/Zkeq0j9CKcc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zkeq0j9CKcc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26013", "sha": "29d4d999acc281e6325daa081f76add92e021efc", "translated_description": "Problems 1-7 starting on page 611", "image_url": "https://img.youtube.com/vi/Zkeq0j9CKcc/hqdefault.jpg", "youtube_id": "Zkeq0j9CKcc", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-8-part-1"}, {"translated_youtube_id": "Oyiz3Td1KEI", "relative_url": "/video/sat-prep--test-4-section-8-part-2", "has_questions": false, "keywords": "SAT, prep, math, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-8-part-2", "duration": 602, "translated_title": "SAT Prep: Test 4 Section 8 Part 2", "translated_description_html": "Problems 8-12 starting on page 613", "id": "26015", "description_html": "Problems 8-12 starting on page 613", "title": "SAT Prep: Test 4 Section 8 Part 2", "progress_key": "v26015", "edit_slug": "edit/v/26015", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 8-12 starting on page 613", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-8-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oyiz3Td1KEI.mp4/Oyiz3Td1KEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oyiz3Td1KEI.mp4/Oyiz3Td1KEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oyiz3Td1KEI.m3u8/Oyiz3Td1KEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oyiz3Td1KEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26015", "sha": "424c1dfc8bf62e359a7bf7aad52d19fab46106c5", "translated_description": "Problems 8-12 starting on page 613", "image_url": "https://img.youtube.com/vi/Oyiz3Td1KEI/hqdefault.jpg", "youtube_id": "Oyiz3Td1KEI", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-8-part-2"}, {"translated_youtube_id": "cVEXO42UKd0", "relative_url": "/video/sat-prep--test-4-section-8-part-3", "has_questions": false, "keywords": "SAT, test, prep, math, practice, examples", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-8-part-3", "duration": 532, "translated_title": "SAT Prep: Test 4 Section 8 Part 3", "translated_description_html": "Problems 12-15 starting on page 614", "id": "26017", "description_html": "Problems 12-15 starting on page 614", "title": "SAT Prep: Test 4 Section 8 Part 3", "progress_key": "v26017", "edit_slug": "edit/v/26017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-15 starting on page 614", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-8-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cVEXO42UKd0.mp4/cVEXO42UKd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cVEXO42UKd0.mp4/cVEXO42UKd0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cVEXO42UKd0.m3u8/cVEXO42UKd0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cVEXO42UKd0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26017", "sha": "a371709c54fc67e1dd4cf81875b640730f4e7caa", "translated_description": "Problems 12-15 starting on page 614", "image_url": "https://img.youtube.com/vi/cVEXO42UKd0/hqdefault.jpg", "youtube_id": "cVEXO42UKd0", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-8-part-3"}, {"translated_youtube_id": "We1OgfMotaM", "relative_url": "/video/sat-prep--test-4-section-8-part-4", "has_questions": false, "keywords": "SAT, test, prep, math, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-4-section-8-part-4", "duration": 155, "translated_title": "SAT Prep: Test 4 Section 8 Part 4", "translated_description_html": "Problem 16 on page 615", "id": "26019", "description_html": "Problem 16 on page 615", "title": "SAT Prep: Test 4 Section 8 Part 4", "progress_key": "v26019", "edit_slug": "edit/v/26019", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problem 16 on page 615", "extra_properties": null, "node_slug": "v/sat-prep--test-4-section-8-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/We1OgfMotaM.mp4/We1OgfMotaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/We1OgfMotaM.mp4/We1OgfMotaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/We1OgfMotaM.m3u8/We1OgfMotaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=We1OgfMotaM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26019", "sha": "0046fa42bae79e47a0a8d39838887f7ee831700d", "translated_description": "Problem 16 on page 615", "image_url": "https://img.youtube.com/vi/We1OgfMotaM/hqdefault.jpg", "youtube_id": "We1OgfMotaM", "content_kind": "Video", "readable_id": "sat-prep--test-4-section-8-part-4"}, {"translated_youtube_id": "zKIQYn1quh8", "relative_url": "/video/sat-prep--test-5-section-3-part-1", "has_questions": false, "keywords": "SAT, Prep, Math, problems", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-1", "duration": 602, "translated_title": "SAT Prep: Test 5 Section 3 Part 1", "translated_description_html": "Problems 1-5 starting on page 652", "id": "26021", "description_html": "Problems 1-5 starting on page 652", "title": "SAT Prep: Test 5 Section 3 Part 1", "progress_key": "v26021", "edit_slug": "edit/v/26021", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 652", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zKIQYn1quh8.mp4/zKIQYn1quh8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zKIQYn1quh8.mp4/zKIQYn1quh8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zKIQYn1quh8.m3u8/zKIQYn1quh8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zKIQYn1quh8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26021", "sha": "a9372b5e34a9da1f883f94a413564bd90d70d238", "translated_description": "Problems 1-5 starting on page 652", "image_url": "https://img.youtube.com/vi/zKIQYn1quh8/hqdefault.jpg", "youtube_id": "zKIQYn1quh8", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-1"}, {"translated_youtube_id": "s_3msatl-NU", "relative_url": "/video/sat-prep--test-5-section-3-part-2", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-2", "duration": 602, "translated_title": "SAT Prep: Test 5 Section 3 Part 2", "translated_description_html": "Problems 5-8 starting on page 653", "id": "26023", "description_html": "Problems 5-8 starting on page 653", "title": "SAT Prep: Test 5 Section 3 Part 2", "progress_key": "v26023", "edit_slug": "edit/v/26023", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5-8 starting on page 653", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s_3msatl-NU.mp4/s_3msatl-NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s_3msatl-NU.mp4/s_3msatl-NU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s_3msatl-NU.m3u8/s_3msatl-NU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s_3msatl-NU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26023", "sha": "ff5723e8747972af34cbd69f4e72017f0f1d09aa", "translated_description": "Problems 5-8 starting on page 653", "image_url": "https://img.youtube.com/vi/s_3msatl-NU/hqdefault.jpg", "youtube_id": "s_3msatl-NU", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-2"}, {"translated_youtube_id": "bOKhHf58978", "relative_url": "/video/sat-prep--test-5-section-3-part-3", "has_questions": false, "keywords": "SAT, math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-3", "duration": 575, "translated_title": "SAT Prep: Test 5 Section 3 Part 3", "translated_description_html": "More on problem 8 on page 654 and 9-11.", "id": "26025", "description_html": "More on problem 8 on page 654 and 9-11.", "title": "SAT Prep: Test 5 Section 3 Part 3", "progress_key": "v26025", "edit_slug": "edit/v/26025", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on problem 8 on page 654 and 9-11.", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bOKhHf58978.mp4/bOKhHf58978.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bOKhHf58978.mp4/bOKhHf58978.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bOKhHf58978.m3u8/bOKhHf58978.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bOKhHf58978&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26025", "sha": "7db7e74c1717d81cc3bd08a303366b502f6e5e9f", "translated_description": "More on problem 8 on page 654 and 9-11.", "image_url": "https://img.youtube.com/vi/bOKhHf58978/hqdefault.jpg", "youtube_id": "bOKhHf58978", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-3"}, {"translated_youtube_id": "8Jwy6seAdHY", "relative_url": "/video/sat-prep--test-5-section-3-part-4", "has_questions": false, "keywords": "Math, SAT, examples, problems", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-4", "duration": 589, "translated_title": "SAT Prep: Test 5 Section 3 Part 4", "translated_description_html": "Problems 12-14 starting on page 656", "id": "26027", "description_html": "Problems 12-14 starting on page 656", "title": "SAT Prep: Test 5 Section 3 Part 4", "progress_key": "v26027", "edit_slug": "edit/v/26027", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-14 starting on page 656", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Jwy6seAdHY.mp4/8Jwy6seAdHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Jwy6seAdHY.mp4/8Jwy6seAdHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Jwy6seAdHY.m3u8/8Jwy6seAdHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Jwy6seAdHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26027", "sha": "bed28fe3846e3dd9372065655fbf1d8369f33f73", "translated_description": "Problems 12-14 starting on page 656", "image_url": "https://img.youtube.com/vi/8Jwy6seAdHY/hqdefault.jpg", "youtube_id": "8Jwy6seAdHY", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-4"}, {"translated_youtube_id": "-c2LcmZaT_o", "relative_url": "/video/sat-prep--test-5-section-3-part-5", "has_questions": false, "keywords": "SAT, prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-5", "duration": 568, "translated_title": "SAT Prep: Test 5 Section 3 Part 5", "translated_description_html": "Problems 15-17 on page 657", "id": "26029", "description_html": "Problems 15-17 on page 657", "title": "SAT Prep: Test 5 Section 3 Part 5", "progress_key": "v26029", "edit_slug": "edit/v/26029", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-17 on page 657", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-c2LcmZaT_o.mp4/-c2LcmZaT_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-c2LcmZaT_o.mp4/-c2LcmZaT_o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-c2LcmZaT_o.m3u8/-c2LcmZaT_o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-c2LcmZaT_o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26029", "sha": "97668b3872213f28b134e323e45c5eda647994fd", "translated_description": "Problems 15-17 on page 657", "image_url": "https://img.youtube.com/vi/-c2LcmZaT_o/hqdefault.jpg", "youtube_id": "-c2LcmZaT_o", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-5"}, {"translated_youtube_id": "0mH04VZ_dOM", "relative_url": "/video/sat-prep--test-5-section-3-part-6", "has_questions": false, "keywords": "SAT, Math, prep, examples, parabola", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-3-part-6", "duration": 306, "translated_title": "SAT Prep: Test 5 Section 3 Part 6", "translated_description_html": "Problem 18 on page 657", "id": "26031", "description_html": "Problem 18 on page 657", "title": "SAT Prep: Test 5 Section 3 Part 6", "progress_key": "v26031", "edit_slug": "edit/v/26031", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problem 18 on page 657", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-3-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0mH04VZ_dOM.mp4/0mH04VZ_dOM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0mH04VZ_dOM.mp4/0mH04VZ_dOM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0mH04VZ_dOM.m3u8/0mH04VZ_dOM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0mH04VZ_dOM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26031", "sha": "c859552c56cdc7ce1f30e9bc2acdb30e7aa83232", "translated_description": "Problem 18 on page 657", "image_url": "https://img.youtube.com/vi/0mH04VZ_dOM/hqdefault.jpg", "youtube_id": "0mH04VZ_dOM", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-3-part-6"}, {"translated_youtube_id": "1jwEEbr2fuU", "relative_url": "/video/sat-prep--test-5--section-7-part-1", "has_questions": false, "keywords": "Math, SAT, examples, problems, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5--section-7-part-1", "duration": 597, "translated_title": "SAT Prep: Test 5 Section 7 Part 1", "translated_description_html": "Problems 1-5 starting on page 669", "id": "26033", "description_html": "Problems 1-5 starting on page 669", "title": "SAT Prep: Test 5 Section 7 Part 1", "progress_key": "v26033", "edit_slug": "edit/v/26033", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 669", "extra_properties": null, "node_slug": "v/sat-prep--test-5--section-7-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1jwEEbr2fuU.mp4/1jwEEbr2fuU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1jwEEbr2fuU.mp4/1jwEEbr2fuU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1jwEEbr2fuU.m3u8/1jwEEbr2fuU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1jwEEbr2fuU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26033", "sha": "e453f28a1234de7842cecc906dd3bb9ea3f030ab", "translated_description": "Problems 1-5 starting on page 669", "image_url": "https://img.youtube.com/vi/1jwEEbr2fuU/hqdefault.jpg", "youtube_id": "1jwEEbr2fuU", "content_kind": "Video", "readable_id": "sat-prep--test-5--section-7-part-1"}, {"translated_youtube_id": "26apAl5onO4", "relative_url": "/video/sat-prep--test-5-section-7-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-7-part-2", "duration": 589, "translated_title": "SAT Prep: Test 5 Section 7 Part 2", "translated_description_html": "Problems 6-9 starting on page 670", "id": "26035", "description_html": "Problems 6-9 starting on page 670", "title": "SAT Prep: Test 5 Section 7 Part 2", "progress_key": "v26035", "edit_slug": "edit/v/26035", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 6-9 starting on page 670", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-7-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/26apAl5onO4.mp4/26apAl5onO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/26apAl5onO4.mp4/26apAl5onO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/26apAl5onO4.m3u8/26apAl5onO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=26apAl5onO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26035", "sha": "c54c25405e351217a56959c7f9271d0fc46e6ab4", "translated_description": "Problems 6-9 starting on page 670", "image_url": "https://img.youtube.com/vi/26apAl5onO4/hqdefault.jpg", "youtube_id": "26apAl5onO4", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-7-part-2"}, {"translated_youtube_id": "1zHTzT4KP80", "relative_url": "/video/sat-prep--test-5-section-7-part-3", "has_questions": false, "keywords": "Math, prep, education", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-7-part-3", "duration": 624, "translated_title": "SAT Prep: Test 5 Section 7 Part 3", "translated_description_html": "Problems 11-12 on page 672", "id": "26037", "description_html": "Problems 11-12 on page 672", "title": "SAT Prep: Test 5 Section 7 Part 3", "progress_key": "v26037", "edit_slug": "edit/v/26037", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 11-12 on page 672", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-7-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1zHTzT4KP80.mp4/1zHTzT4KP80.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1zHTzT4KP80.mp4/1zHTzT4KP80.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1zHTzT4KP80.m3u8/1zHTzT4KP80.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1zHTzT4KP80&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26037", "sha": "3ad43bd6412ce249be507ab7b09908de0a445090", "translated_description": "Problems 11-12 on page 672", "image_url": "https://img.youtube.com/vi/1zHTzT4KP80/hqdefault.jpg", "youtube_id": "1zHTzT4KP80", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-7-part-3"}, {"translated_youtube_id": "1SC8pC5FKtM", "relative_url": "/video/sat-prep--test-5-section-7-part-4", "has_questions": false, "keywords": "Math, SAT, Practice, explanations", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-7-part-4", "duration": 570, "translated_title": "SAT Prep: Test 5 Section 7 Part 4", "translated_description_html": "Problems 13-15 starting on page 672", "id": "26039", "description_html": "Problems 13-15 starting on page 672", "title": "SAT Prep: Test 5 Section 7 Part 4", "progress_key": "v26039", "edit_slug": "edit/v/26039", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 13-15 starting on page 672", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-7-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1SC8pC5FKtM.mp4/1SC8pC5FKtM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1SC8pC5FKtM.mp4/1SC8pC5FKtM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1SC8pC5FKtM.m3u8/1SC8pC5FKtM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1SC8pC5FKtM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26039", "sha": "6800a140dc6b1624bcb9a71a52866c5458b3f789", "translated_description": "Problems 13-15 starting on page 672", "image_url": "https://img.youtube.com/vi/1SC8pC5FKtM/hqdefault.jpg", "youtube_id": "1SC8pC5FKtM", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-7-part-4"}, {"translated_youtube_id": "KEyCBPe_T5I", "relative_url": "/video/sat-prep--test-5-section-7-part-5", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-7-part-5", "duration": 510, "translated_title": "SAT Prep: Test 5 Section 7 Part 5", "translated_description_html": "Problems 16-18 starting on page 673", "id": "26041", "description_html": "Problems 16-18 starting on page 673", "title": "SAT Prep: Test 5 Section 7 Part 5", "progress_key": "v26041", "edit_slug": "edit/v/26041", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 16-18 starting on page 673", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-7-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KEyCBPe_T5I.mp4/KEyCBPe_T5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KEyCBPe_T5I.mp4/KEyCBPe_T5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KEyCBPe_T5I.m3u8/KEyCBPe_T5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KEyCBPe_T5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26041", "sha": "b2ed0d650205e26132bdd9a1920dcc069a3ed857", "translated_description": "Problems 16-18 starting on page 673", "image_url": "https://img.youtube.com/vi/KEyCBPe_T5I/hqdefault.jpg", "youtube_id": "KEyCBPe_T5I", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-7-part-5"}, {"translated_youtube_id": "XizVnQI2d9Q", "relative_url": "/video/sat-prep--test-5-section-7-part-6", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-7-part-6", "duration": 609, "translated_title": "SAT Prep: Test 5 Section 7 Part 6", "translated_description_html": "Problems 19-20 on page 674", "id": "26043", "description_html": "Problems 19-20 on page 674", "title": "SAT Prep: Test 5 Section 7 Part 6", "progress_key": "v26043", "edit_slug": "edit/v/26043", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 19-20 on page 674", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-7-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XizVnQI2d9Q.mp4/XizVnQI2d9Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XizVnQI2d9Q.mp4/XizVnQI2d9Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XizVnQI2d9Q.m3u8/XizVnQI2d9Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XizVnQI2d9Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26043", "sha": "dfadc466861693b9cbc4b93ddd7c29cfc982e2d3", "translated_description": "Problems 19-20 on page 674", "image_url": "https://img.youtube.com/vi/XizVnQI2d9Q/hqdefault.jpg", "youtube_id": "XizVnQI2d9Q", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-7-part-6"}, {"translated_youtube_id": "NLBp-Tq3TS4", "relative_url": "/video/sat-prep--test-5-section-9-part-1", "has_questions": false, "keywords": "SAT, prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-9-part-1", "duration": 565, "translated_title": "SAT Prep: Test 5 Section 9 Part 1", "translated_description_html": "Problems 1-6 starting on page 679", "id": "26045", "description_html": "Problems 1-6 starting on page 679", "title": "SAT Prep: Test 5 Section 9 Part 1", "progress_key": "v26045", "edit_slug": "edit/v/26045", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 679", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-9-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NLBp-Tq3TS4.mp4/NLBp-Tq3TS4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NLBp-Tq3TS4.mp4/NLBp-Tq3TS4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NLBp-Tq3TS4.m3u8/NLBp-Tq3TS4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NLBp-Tq3TS4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26045", "sha": "ec6d83a4e9a7272572b97bedcd488d738a5881b2", "translated_description": "Problems 1-6 starting on page 679", "image_url": "https://img.youtube.com/vi/NLBp-Tq3TS4/hqdefault.jpg", "youtube_id": "NLBp-Tq3TS4", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-9-part-1"}, {"translated_youtube_id": "VUg5v5PzGKo", "relative_url": "/video/sat-prep--test-5-section-9-part-2", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-9-part-2", "duration": 523, "translated_title": "SAT Prep: Test 5 Section 9 Part 2", "translated_description_html": "Problems 7-9 starting on page 681", "id": "26047", "description_html": "Problems 7-9 starting on page 681", "title": "SAT Prep: Test 5 Section 9 Part 2", "progress_key": "v26047", "edit_slug": "edit/v/26047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-9 starting on page 681", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-9-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VUg5v5PzGKo.mp4/VUg5v5PzGKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VUg5v5PzGKo.mp4/VUg5v5PzGKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VUg5v5PzGKo.m3u8/VUg5v5PzGKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VUg5v5PzGKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26047", "sha": "8619ef429be696faa2965c9d4a6228ee99848023", "translated_description": "Problems 7-9 starting on page 681", "image_url": "https://img.youtube.com/vi/VUg5v5PzGKo/hqdefault.jpg", "youtube_id": "VUg5v5PzGKo", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-9-part-2"}, {"translated_youtube_id": "7D3ErvtvOaU", "relative_url": "/video/sat-prep--test-5-section-9-part-3", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-9-part-3", "duration": 576, "translated_title": "SAT Prep: Test 5 Section 9 Part 3", "translated_description_html": "Problems 10-13 starting on page 681", "id": "26049", "description_html": "Problems 10-13 starting on page 681", "title": "SAT Prep: Test 5 Section 9 Part 3", "progress_key": "v26049", "edit_slug": "edit/v/26049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-13 starting on page 681", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-9-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7D3ErvtvOaU.mp4/7D3ErvtvOaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7D3ErvtvOaU.mp4/7D3ErvtvOaU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7D3ErvtvOaU.m3u8/7D3ErvtvOaU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7D3ErvtvOaU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26049", "sha": "62a4e1a21f20e3f91c4ad06f50011dca889c3845", "translated_description": "Problems 10-13 starting on page 681", "image_url": "https://img.youtube.com/vi/7D3ErvtvOaU/hqdefault.jpg", "youtube_id": "7D3ErvtvOaU", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-9-part-3"}, {"translated_youtube_id": "WV6gftyM3SU", "relative_url": "/video/sat-prep--test-5-section-9-part-4", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-5-section-9-part-4", "duration": 581, "translated_title": "SAT Prep: Test 5 Section 9 Part 4", "translated_description_html": "Problems 14-16 starting on page 683", "id": "26051", "description_html": "Problems 14-16 starting on page 683", "title": "SAT Prep: Test 5 Section 9 Part 4", "progress_key": "v26051", "edit_slug": "edit/v/26051", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 14-16 starting on page 683", "extra_properties": null, "node_slug": "v/sat-prep--test-5-section-9-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WV6gftyM3SU.mp4/WV6gftyM3SU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WV6gftyM3SU.mp4/WV6gftyM3SU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WV6gftyM3SU.m3u8/WV6gftyM3SU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WV6gftyM3SU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26051", "sha": "9ae359be06d18bc38d9a7a35fe80f96bd699ef31", "translated_description": "Problems 14-16 starting on page 683", "image_url": "https://img.youtube.com/vi/WV6gftyM3SU/hqdefault.jpg", "youtube_id": "WV6gftyM3SU", "content_kind": "Video", "readable_id": "sat-prep--test-5-section-9-part-4"}, {"translated_youtube_id": "Zee_TGgEBsg", "relative_url": "/video/sat-prep--test-6-section-3-part-1", "has_questions": false, "keywords": "math, sat, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-3-part-1", "duration": 547, "translated_title": "SAT Prep: Test 6 Section 3 Part 1", "translated_description_html": "Problems 1-4 starting on page 716", "id": "26053", "description_html": "Problems 1-4 starting on page 716", "title": "SAT Prep: Test 6 Section 3 Part 1", "progress_key": "v26053", "edit_slug": "edit/v/26053", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-4 starting on page 716", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-3-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zee_TGgEBsg.mp4/Zee_TGgEBsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zee_TGgEBsg.mp4/Zee_TGgEBsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zee_TGgEBsg.m3u8/Zee_TGgEBsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zee_TGgEBsg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26053", "sha": "2c219ac55a0bf5be7c63530db10b332adc1f47a9", "translated_description": "Problems 1-4 starting on page 716", "image_url": "https://img.youtube.com/vi/Zee_TGgEBsg/hqdefault.jpg", "youtube_id": "Zee_TGgEBsg", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-3-part-1"}, {"translated_youtube_id": "gWq0WpgBthI", "relative_url": "/video/sat-prep--test-6-section-3-part-2", "has_questions": false, "keywords": "math, sat, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-3-part-2", "duration": 579, "translated_title": "SAT Prep: Test 6 Section 3 Part 2", "translated_description_html": "Problems 5, 6, and part of 7 starting on page 717", "id": "26055", "description_html": "Problems 5, 6, and part of 7 starting on page 717", "title": "SAT Prep: Test 6 Section 3 Part 2", "progress_key": "v26055", "edit_slug": "edit/v/26055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5, 6, and part of 7 starting on page 717", "extra_properties": {"original_url": ""}, "node_slug": "v/sat-prep--test-6-section-3-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gWq0WpgBthI.mp4/gWq0WpgBthI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gWq0WpgBthI.mp4/gWq0WpgBthI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gWq0WpgBthI.m3u8/gWq0WpgBthI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gWq0WpgBthI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26055", "sha": "d13a12dedbb8aa07eaf938191b038966687bd30c", "translated_description": "Problems 5, 6, and part of 7 starting on page 717", "image_url": "https://img.youtube.com/vi/gWq0WpgBthI/hqdefault.jpg", "youtube_id": "gWq0WpgBthI", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-3-part-2"}, {"translated_youtube_id": "QPKMZHYBcTc", "relative_url": "/video/sat-prep--test-6-section-3-part-3", "has_questions": false, "keywords": "MATH, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-3-part-3", "duration": 592, "translated_title": "SAT Prep: Test 6 Section 3 Part 3", "translated_description_html": "Problems 7-11 starting on page 718", "id": "26057", "description_html": "Problems 7-11 starting on page 718", "title": "SAT Prep: Test 6 Section 3 Part 3", "progress_key": "v26057", "edit_slug": "edit/v/26057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-11 starting on page 718", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-3-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QPKMZHYBcTc.mp4/QPKMZHYBcTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QPKMZHYBcTc.mp4/QPKMZHYBcTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QPKMZHYBcTc.m3u8/QPKMZHYBcTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QPKMZHYBcTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26057", "sha": "3881dd3d11baab5681c1d4ed4e2fafe20a559652", "translated_description": "Problems 7-11 starting on page 718", "image_url": "https://img.youtube.com/vi/QPKMZHYBcTc/hqdefault.jpg", "youtube_id": "QPKMZHYBcTc", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-3-part-3"}, {"translated_youtube_id": "i1aNc26PsOI", "relative_url": "/video/sat-prep--test-6-section-3-part-4", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-3-part-4", "duration": 526, "translated_title": "SAT Prep: Test 6 Section 3 Part 4", "translated_description_html": "Problems 12-15 starting on page 720", "id": "26059", "description_html": "Problems 12-15 starting on page 720", "title": "SAT Prep: Test 6 Section 3 Part 4", "progress_key": "v26059", "edit_slug": "edit/v/26059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-15 starting on page 720", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-3-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i1aNc26PsOI.mp4/i1aNc26PsOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i1aNc26PsOI.mp4/i1aNc26PsOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i1aNc26PsOI.m3u8/i1aNc26PsOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i1aNc26PsOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26059", "sha": "3796f4718201c823fca16ddc891ccd1098f141a6", "translated_description": "Problems 12-15 starting on page 720", "image_url": "https://img.youtube.com/vi/i1aNc26PsOI/hqdefault.jpg", "youtube_id": "i1aNc26PsOI", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-3-part-4"}, {"translated_youtube_id": "PH92iJRiUgg", "relative_url": "/video/sat-prep--test-6-section-3-part-5", "has_questions": false, "keywords": "SAT, Prep, Math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-3-part-5", "duration": 546, "translated_title": "SAT Prep: Test 6 Section 3 Part 5", "translated_description_html": "Problems 16-18 on page 721", "id": "26061", "description_html": "Problems 16-18 on page 721", "title": "SAT Prep: Test 6 Section 3 Part 5", "progress_key": "v26061", "edit_slug": "edit/v/26061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 16-18 on page 721", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-3-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PH92iJRiUgg.mp4/PH92iJRiUgg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PH92iJRiUgg.mp4/PH92iJRiUgg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PH92iJRiUgg.m3u8/PH92iJRiUgg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PH92iJRiUgg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26061", "sha": "d74ef1b8075f57453110ca34591d07919b4ff94a", "translated_description": "Problems 16-18 on page 721", "image_url": "https://img.youtube.com/vi/PH92iJRiUgg/hqdefault.jpg", "youtube_id": "PH92iJRiUgg", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-3-part-5"}, {"translated_youtube_id": "dkN6eSd2AIA", "relative_url": "/video/sat-prep--test-6-section-7-part-1", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-1", "duration": 535, "translated_title": "SAT Prep: Test 6 Section 7 Part 1", "translated_description_html": "Problems 1-5 starting on page 733", "id": "26063", "description_html": "Problems 1-5 starting on page 733", "title": "SAT Prep: Test 6 Section 7 Part 1", "progress_key": "v26063", "edit_slug": "edit/v/26063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-5 starting on page 733", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dkN6eSd2AIA.mp4/dkN6eSd2AIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dkN6eSd2AIA.mp4/dkN6eSd2AIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dkN6eSd2AIA.m3u8/dkN6eSd2AIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dkN6eSd2AIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26063", "sha": "59870c941981d620fe7003de0c5ae387af6005d7", "translated_description": "Problems 1-5 starting on page 733", "image_url": "https://img.youtube.com/vi/dkN6eSd2AIA/hqdefault.jpg", "youtube_id": "dkN6eSd2AIA", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-1"}, {"translated_youtube_id": "j9iKQnnAsgI", "relative_url": "/video/sat-prep--test-6-section-7-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-2", "duration": 568, "translated_title": "SAT Prep: Test 6 Section 7 Part 2", "translated_description_html": "Problems 6-9 starting on page 734", "id": "26065", "description_html": "Problems 6-9 starting on page 734", "title": "SAT Prep: Test 6 Section 7 Part 2", "progress_key": "v26065", "edit_slug": "edit/v/26065", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 6-9 starting on page 734", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j9iKQnnAsgI.mp4/j9iKQnnAsgI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j9iKQnnAsgI.mp4/j9iKQnnAsgI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j9iKQnnAsgI.m3u8/j9iKQnnAsgI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j9iKQnnAsgI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26065", "sha": "69deeba59780704cb8357202b8e4f376ea5484d8", "translated_description": "Problems 6-9 starting on page 734", "image_url": "https://img.youtube.com/vi/j9iKQnnAsgI/hqdefault.jpg", "youtube_id": "j9iKQnnAsgI", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-2"}, {"translated_youtube_id": "wXQrhgpMI0o", "relative_url": "/video/sat-prep--test-6-section-7-part-3", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-3", "duration": 566, "translated_title": "SAT Prep: Test 6 Section 7 Part 3", "translated_description_html": "Problems 10-13 starting on page 735", "id": "26067", "description_html": "Problems 10-13 starting on page 735", "title": "SAT Prep: Test 6 Section 7 Part 3", "progress_key": "v26067", "edit_slug": "edit/v/26067", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-13 starting on page 735", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.m3u8/wXQrhgpMI0o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wXQrhgpMI0o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26067", "sha": "3c526344a50022a2666098e5ab051a73f6054e2e", "translated_description": "Problems 10-13 starting on page 735", "image_url": "https://img.youtube.com/vi/wXQrhgpMI0o/hqdefault.jpg", "youtube_id": "wXQrhgpMI0o", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-3"}, {"translated_youtube_id": "kmP97_diMVM", "relative_url": "/video/sat-prep--test-6-section-7-part-4", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-4", "duration": 511, "translated_title": "SAT Prep: Test 6 Section 7 Part 4", "translated_description_html": "Problems 14-17 starting on page 736", "id": "26069", "description_html": "Problems 14-17 starting on page 736", "title": "SAT Prep: Test 6 Section 7 Part 4", "progress_key": "v26069", "edit_slug": "edit/v/26069", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 14-17 starting on page 736", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kmP97_diMVM.mp4/kmP97_diMVM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kmP97_diMVM.mp4/kmP97_diMVM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kmP97_diMVM.m3u8/kmP97_diMVM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kmP97_diMVM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26069", "sha": "fb6f4e5ac92d51a1aac79861eee22c656861551d", "translated_description": "Problems 14-17 starting on page 736", "image_url": "https://img.youtube.com/vi/kmP97_diMVM/hqdefault.jpg", "youtube_id": "kmP97_diMVM", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-4"}, {"translated_youtube_id": "0CIn1_M-BoY", "relative_url": "/video/sat-prep--test-6-section-7-part-5", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-5", "duration": 535, "translated_title": "SAT Prep: Test 6 Section 7 Part 5", "translated_description_html": "Problems 18-19 on page 738", "id": "26071", "description_html": "Problems 18-19 on page 738", "title": "SAT Prep: Test 6 Section 7 Part 5", "progress_key": "v26071", "edit_slug": "edit/v/26071", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 18-19 on page 738", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0CIn1_M-BoY.mp4/0CIn1_M-BoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0CIn1_M-BoY.mp4/0CIn1_M-BoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0CIn1_M-BoY.m3u8/0CIn1_M-BoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0CIn1_M-BoY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26071", "sha": "925ecf08146f4ea710917fb8e22a8d436fcf9e70", "translated_description": "Problems 18-19 on page 738", "image_url": "https://img.youtube.com/vi/0CIn1_M-BoY/hqdefault.jpg", "youtube_id": "0CIn1_M-BoY", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-5"}, {"translated_youtube_id": "aEvm-V7A5s8", "relative_url": "/video/sat-prep--test-6-section-7-part-6", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-7-part-6", "duration": 330, "translated_title": "SAT Prep: Test 6 Section 7 Part 6", "translated_description_html": "Problem 20 on page 738", "id": "26073", "description_html": "Problem 20 on page 738", "title": "SAT Prep: Test 6 Section 7 Part 6", "progress_key": "v26073", "edit_slug": "edit/v/26073", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problem 20 on page 738", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-7-part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aEvm-V7A5s8.mp4/aEvm-V7A5s8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aEvm-V7A5s8.mp4/aEvm-V7A5s8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aEvm-V7A5s8.m3u8/aEvm-V7A5s8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aEvm-V7A5s8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26073", "sha": "596df8fe254d24ea8e7b5021aa46aaa2fa3faad0", "translated_description": "Problem 20 on page 738", "image_url": "https://img.youtube.com/vi/aEvm-V7A5s8/hqdefault.jpg", "youtube_id": "aEvm-V7A5s8", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-7-part-6"}, {"translated_youtube_id": "pplnmRsNDuY", "relative_url": "/video/sat-prep--test-6-section-9-part-1", "has_questions": false, "keywords": "Math, SAT, examples, practice, preparation", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-9-part-1", "duration": 588, "translated_title": "SAT Prep: Test 6 Section 9 Part 1", "translated_description_html": "Problems 1-6 starting on page 743", "id": "26075", "description_html": "Problems 1-6 starting on page 743", "title": "SAT Prep: Test 6 Section 9 Part 1", "progress_key": "v26075", "edit_slug": "edit/v/26075", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 743", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-9-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pplnmRsNDuY.mp4/pplnmRsNDuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pplnmRsNDuY.mp4/pplnmRsNDuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pplnmRsNDuY.m3u8/pplnmRsNDuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pplnmRsNDuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26075", "sha": "067b5c83e0eb7fa6362b3cc25005924ce021ea2c", "translated_description": "Problems 1-6 starting on page 743", "image_url": "https://img.youtube.com/vi/pplnmRsNDuY/hqdefault.jpg", "youtube_id": "pplnmRsNDuY", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-9-part-1"}, {"translated_youtube_id": "ewzoWPBLG3g", "relative_url": "/video/sat-prep--test-6-section-9-part-2", "has_questions": false, "keywords": "SAT, Math, practice, examples, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-9-part-2", "duration": 531, "translated_title": "SAT Prep: Test 6 Section 9 Part 2", "translated_description_html": "Problems 7-9 starting on page 745", "id": "26077", "description_html": "Problems 7-9 starting on page 745", "title": "SAT Prep: Test 6 Section 9 Part 2", "progress_key": "v26077", "edit_slug": "edit/v/26077", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-9 starting on page 745", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-9-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewzoWPBLG3g.mp4/ewzoWPBLG3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewzoWPBLG3g.mp4/ewzoWPBLG3g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ewzoWPBLG3g.m3u8/ewzoWPBLG3g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ewzoWPBLG3g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26077", "sha": "b9c5eaba64f63dd878dbc7d01cd380215789c4f0", "translated_description": "Problems 7-9 starting on page 745", "image_url": "https://img.youtube.com/vi/ewzoWPBLG3g/hqdefault.jpg", "youtube_id": "ewzoWPBLG3g", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-9-part-2"}, {"translated_youtube_id": "PMFJCEOWVmc", "relative_url": "/video/sat-prep--test-6-section-9-part-3", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-9-part-3", "duration": 591, "translated_title": "SAT Prep: Test 6 Section 9 Part 3", "translated_description_html": "Problems 11-14 on starting on page 746", "id": "26079", "description_html": "Problems 11-14 on starting on page 746", "title": "SAT Prep: Test 6 Section 9 Part 3", "progress_key": "v26079", "edit_slug": "edit/v/26079", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 11-14 on starting on page 746", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-9-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PMFJCEOWVmc.mp4/PMFJCEOWVmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PMFJCEOWVmc.mp4/PMFJCEOWVmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PMFJCEOWVmc.m3u8/PMFJCEOWVmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PMFJCEOWVmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26079", "sha": "3bdaae385b8de2de51b6ece9ec3a0cc18c0f766d", "translated_description": "Problems 11-14 on starting on page 746", "image_url": "https://img.youtube.com/vi/PMFJCEOWVmc/hqdefault.jpg", "youtube_id": "PMFJCEOWVmc", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-9-part-3"}, {"translated_youtube_id": "LeNa9s0rdj8", "relative_url": "/video/sat-prep--test-6-section-9-part-4", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-6-section-9-part-4", "duration": 360, "translated_title": "SAT Prep: Test 6 Section 9 Part 4", "translated_description_html": "Problems 15-16 on page 747", "id": "26081", "description_html": "Problems 15-16 on page 747", "title": "SAT Prep: Test 6 Section 9 Part 4", "progress_key": "v26081", "edit_slug": "edit/v/26081", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-16 on page 747", "extra_properties": null, "node_slug": "v/sat-prep--test-6-section-9-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LeNa9s0rdj8.mp4/LeNa9s0rdj8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LeNa9s0rdj8.mp4/LeNa9s0rdj8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LeNa9s0rdj8.m3u8/LeNa9s0rdj8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LeNa9s0rdj8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26081", "sha": "d38fa63e48db9008476ca6efb8bf6e95a301cd7f", "translated_description": "Problems 15-16 on page 747", "image_url": "https://img.youtube.com/vi/LeNa9s0rdj8/hqdefault.jpg", "youtube_id": "LeNa9s0rdj8", "content_kind": "Video", "readable_id": "sat-prep--test-6-section-9-part-4"}, {"translated_youtube_id": "k3Wd-9bZCgw", "relative_url": "/video/sat-prep--test-7-section-2-part-1", "has_questions": false, "keywords": "SAT, Prep, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-2-part-1", "duration": 571, "translated_title": "SAT Prep: Test 7 Section 2 Part 1", "translated_description_html": "Problems 1-7 starting on page 774", "id": "26083", "description_html": "Problems 1-7 starting on page 774", "title": "SAT Prep: Test 7 Section 2 Part 1", "progress_key": "v26083", "edit_slug": "edit/v/26083", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-7 starting on page 774", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-2-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3Wd-9bZCgw.mp4/k3Wd-9bZCgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3Wd-9bZCgw.mp4/k3Wd-9bZCgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k3Wd-9bZCgw.m3u8/k3Wd-9bZCgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k3Wd-9bZCgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26083", "sha": "6d1bf0267c534d097b894ea871f23372608a8ce6", "translated_description": "Problems 1-7 starting on page 774", "image_url": "https://img.youtube.com/vi/k3Wd-9bZCgw/hqdefault.jpg", "youtube_id": "k3Wd-9bZCgw", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-2-part-1"}, {"translated_youtube_id": "FhUj7sF00VM", "relative_url": "/video/sat-prep--test-7-section-2-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-2-part-2", "duration": 580, "translated_title": "SAT Prep: Test 7 Section 2 Part 2", "translated_description_html": "Problems 7-12 starting on page 776", "id": "26085", "description_html": "Problems 7-12 starting on page 776", "title": "SAT Prep: Test 7 Section 2 Part 2", "progress_key": "v26085", "edit_slug": "edit/v/26085", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-12 starting on page 776", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-2-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.mp4/FhUj7sF00VM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.mp4/FhUj7sF00VM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.m3u8/FhUj7sF00VM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FhUj7sF00VM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26085", "sha": "682918fcbbcbdc572ed4f13f07c936abc4545c45", "translated_description": "Problems 7-12 starting on page 776", "image_url": "https://img.youtube.com/vi/FhUj7sF00VM/hqdefault.jpg", "youtube_id": "FhUj7sF00VM", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-2-part-2"}, {"translated_youtube_id": "lb3TmicdsCU", "relative_url": "/video/sat-prep--test-7-section-2-part-3", "has_questions": false, "keywords": "SAT, Prep, practice, math", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-2-part-3", "duration": 536, "translated_title": "SAT Prep: Test 7 Section 2 Part 3", "translated_description_html": "Problems 13-16 on starting on page 778", "id": "26087", "description_html": "Problems 13-16 on starting on page 778", "title": "SAT Prep: Test 7 Section 2 Part 3", "progress_key": "v26087", "edit_slug": "edit/v/26087", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 13-16 on starting on page 778", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-2-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lb3TmicdsCU.mp4/lb3TmicdsCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lb3TmicdsCU.mp4/lb3TmicdsCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lb3TmicdsCU.m3u8/lb3TmicdsCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lb3TmicdsCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26087", "sha": "86b396cd7c8424e4b31c1e56826ba7d0c1de9d04", "translated_description": "Problems 13-16 on starting on page 778", "image_url": "https://img.youtube.com/vi/lb3TmicdsCU/hqdefault.jpg", "youtube_id": "lb3TmicdsCU", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-2-part-3"}, {"translated_youtube_id": "UDyFevRLKb8", "relative_url": "/video/sat-prep--test-7-section-2-part-4", "has_questions": false, "keywords": "SAT, prep, math, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-2-part-4", "duration": 235, "translated_title": "SAT Prep: Test 7 Section 2 Part 4", "translated_description_html": "Problems 17-18 on page 779", "id": "26089", "description_html": "Problems 17-18 on page 779", "title": "SAT Prep: Test 7 Section 2 Part 4", "progress_key": "v26089", "edit_slug": "edit/v/26089", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-18 on page 779", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-2-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UDyFevRLKb8.mp4/UDyFevRLKb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UDyFevRLKb8.mp4/UDyFevRLKb8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UDyFevRLKb8.m3u8/UDyFevRLKb8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UDyFevRLKb8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26089", "sha": "7920d7404bd83ebff638c6a624dbac8030ff949d", "translated_description": "Problems 17-18 on page 779", "image_url": "https://img.youtube.com/vi/UDyFevRLKb8/hqdefault.jpg", "youtube_id": "UDyFevRLKb8", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-2-part-4"}, {"translated_youtube_id": "R6byhBey7eY", "relative_url": "/video/sat-prep--test-7-section-5-part-1", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-5-part-1", "duration": 570, "translated_title": "SAT Prep: Test 7 Section 5 Part 1", "translated_description_html": "Problems 1-6 starting on page 791", "id": "26091", "description_html": "Problems 1-6 starting on page 791", "title": "SAT Prep: Test 7 Section 5 Part 1", "progress_key": "v26091", "edit_slug": "edit/v/26091", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Problems 1-6 starting on page 791", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-5-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R6byhBey7eY.mp4/R6byhBey7eY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R6byhBey7eY.mp4/R6byhBey7eY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R6byhBey7eY.m3u8/R6byhBey7eY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R6byhBey7eY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26091", "sha": "83fb713be346a9ab2f164ff24a09f3c98f4341aa", "translated_description": "Problems 1-6 starting on page 791", "image_url": "https://img.youtube.com/vi/R6byhBey7eY/hqdefault.jpg", "youtube_id": "R6byhBey7eY", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-5-part-1"}, {"translated_youtube_id": "va9qsz7Q6b0", "relative_url": "/video/sat-prep--test-7-section-5-part-2", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-5-part-2", "duration": 523, "translated_title": "SAT Prep: Test 7 Section 5 Part 2", "translated_description_html": "Problems 7-12 starting on page 793", "id": "26093", "description_html": "Problems 7-12 starting on page 793", "title": "SAT Prep: Test 7 Section 5 Part 2", "progress_key": "v26093", "edit_slug": "edit/v/26093", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-12 starting on page 793", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-5-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/va9qsz7Q6b0.mp4/va9qsz7Q6b0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/va9qsz7Q6b0.mp4/va9qsz7Q6b0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/va9qsz7Q6b0.m3u8/va9qsz7Q6b0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=va9qsz7Q6b0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26093", "sha": "84bf0eeba13d1341e07f16679035ab17eea54989", "translated_description": "Problems 7-12 starting on page 793", "image_url": "https://img.youtube.com/vi/va9qsz7Q6b0/hqdefault.jpg", "youtube_id": "va9qsz7Q6b0", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-5-part-2"}, {"translated_youtube_id": "RpCkWhPqTQM", "relative_url": "/video/sat-prep--test-7-section-5-part-3", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-5-part-3", "duration": 598, "translated_title": "SAT Prep: Test 7 Section 5 Part 3", "translated_description_html": "Problems 13-16 starting on page 794", "id": "26095", "description_html": "Problems 13-16 starting on page 794", "title": "SAT Prep: Test 7 Section 5 Part 3", "progress_key": "v26095", "edit_slug": "edit/v/26095", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 13-16 starting on page 794", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-5-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RpCkWhPqTQM.mp4/RpCkWhPqTQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RpCkWhPqTQM.mp4/RpCkWhPqTQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RpCkWhPqTQM.m3u8/RpCkWhPqTQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RpCkWhPqTQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26095", "sha": "44640440a74aab5a8e144991bad4ab8c6c925d33", "translated_description": "Problems 13-16 starting on page 794", "image_url": "https://img.youtube.com/vi/RpCkWhPqTQM/hqdefault.jpg", "youtube_id": "RpCkWhPqTQM", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-5-part-3"}, {"translated_youtube_id": "U2FLQYvioeY", "relative_url": "/video/sat-prep--test-7-section-5-part-4", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-5-part-4", "duration": 595, "translated_title": "SAT Prep: Test 7 Section 5 Part 4", "translated_description_html": "Problems 17-20 starting on page 795", "id": "26097", "description_html": "Problems 17-20 starting on page 795", "title": "SAT Prep: Test 7 Section 5 Part 4", "progress_key": "v26097", "edit_slug": "edit/v/26097", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 17-20 starting on page 795", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-5-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2FLQYvioeY.mp4/U2FLQYvioeY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2FLQYvioeY.mp4/U2FLQYvioeY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2FLQYvioeY.m3u8/U2FLQYvioeY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2FLQYvioeY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26097", "sha": "84fa64972dec408bf88a0819df7aa8ecd16e0159", "translated_description": "Problems 17-20 starting on page 795", "image_url": "https://img.youtube.com/vi/U2FLQYvioeY/hqdefault.jpg", "youtube_id": "U2FLQYvioeY", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-5-part-4"}, {"translated_youtube_id": "A-qer1ChzXk", "relative_url": "/video/sat-prep--test-7-section-5-part-5", "has_questions": false, "keywords": "SAT, math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-5-part-5", "duration": 242, "translated_title": "SAT Prep: Test 7 Section 5 Part 5", "translated_description_html": "The rest of problem 20 on page 796", "id": "26099", "description_html": "The rest of problem 20 on page 796", "title": "SAT Prep: Test 7 Section 5 Part 5", "progress_key": "v26099", "edit_slug": "edit/v/26099", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The rest of problem 20 on page 796", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-5-part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A-qer1ChzXk.mp4/A-qer1ChzXk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A-qer1ChzXk.mp4/A-qer1ChzXk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A-qer1ChzXk.m3u8/A-qer1ChzXk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A-qer1ChzXk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26099", "sha": "e24bad0805ae89e080e733031200ef2b75f6e463", "translated_description": "The rest of problem 20 on page 796", "image_url": "https://img.youtube.com/vi/A-qer1ChzXk/hqdefault.jpg", "youtube_id": "A-qer1ChzXk", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-5-part-5"}, {"translated_youtube_id": "GZOp27tWARg", "relative_url": "/video/sat-prep--test-7-section-8-part-1", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-8-part-1", "duration": 542, "translated_title": "SAT Prep: Test 7 Section 8 Part 1", "translated_description_html": "Problems 1-6 starting on page 803", "id": "26101", "description_html": "Problems 1-6 starting on page 803", "title": "SAT Prep: Test 7 Section 8 Part 1", "progress_key": "v26101", "edit_slug": "edit/v/26101", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 803", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-8-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.mp4/GZOp27tWARg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.mp4/GZOp27tWARg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.m3u8/GZOp27tWARg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GZOp27tWARg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26101", "sha": "c32451e9d551ae49526170243ae3bd9ef13feddd", "translated_description": "Problems 1-6 starting on page 803", "image_url": "https://img.youtube.com/vi/GZOp27tWARg/hqdefault.jpg", "youtube_id": "GZOp27tWARg", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-8-part-1"}, {"translated_youtube_id": "Z7fM5fu7LAs", "relative_url": "/video/sat-prep--test-7-section-8-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-8-part-2", "duration": 492, "translated_title": "SAT Prep: Test 7 Section 8 Part 2", "translated_description_html": "Problems 7-9 on page 805", "id": "26103", "description_html": "Problems 7-9 on page 805", "title": "SAT Prep: Test 7 Section 8 Part 2", "progress_key": "v26103", "edit_slug": "edit/v/26103", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-9 on page 805", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-8-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z7fM5fu7LAs.mp4/Z7fM5fu7LAs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z7fM5fu7LAs.mp4/Z7fM5fu7LAs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z7fM5fu7LAs.m3u8/Z7fM5fu7LAs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z7fM5fu7LAs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26103", "sha": "cf65415323040b8b3f116b371b4d2da936066bcb", "translated_description": "Problems 7-9 on page 805", "image_url": "https://img.youtube.com/vi/Z7fM5fu7LAs/hqdefault.jpg", "youtube_id": "Z7fM5fu7LAs", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-8-part-2"}, {"translated_youtube_id": "Fq1BirUwrLQ", "relative_url": "/video/sat-prep--test-7-section-8-part-3", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-8-part-3", "duration": 540, "translated_title": "SAT Prep: Test 7 Section 8 Part 3", "translated_description_html": "Problems 10-13 on page 806", "id": "26105", "description_html": "Problems 10-13 on page 806", "title": "SAT Prep: Test 7 Section 8 Part 3", "progress_key": "v26105", "edit_slug": "edit/v/26105", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 10-13 on page 806", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-8-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Fq1BirUwrLQ.mp4/Fq1BirUwrLQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Fq1BirUwrLQ.mp4/Fq1BirUwrLQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Fq1BirUwrLQ.m3u8/Fq1BirUwrLQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Fq1BirUwrLQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26105", "sha": "c14ecb39c60bb6413842f00f1f5ae6cd24a9658d", "translated_description": "Problems 10-13 on page 806", "image_url": "https://img.youtube.com/vi/Fq1BirUwrLQ/hqdefault.jpg", "youtube_id": "Fq1BirUwrLQ", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-8-part-3"}, {"translated_youtube_id": "RHfnCQCqohk", "relative_url": "/video/sat-prep--test-7-section-8-part-4", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-7-section-8-part-4", "duration": 575, "translated_title": "SAT Prep: Test 7 Section 8 Part 4", "translated_description_html": "Problems 14-16 on page 807", "id": "26107", "description_html": "Problems 14-16 on page 807", "title": "SAT Prep: Test 7 Section 8 Part 4", "progress_key": "v26107", "edit_slug": "edit/v/26107", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 14-16 on page 807", "extra_properties": null, "node_slug": "v/sat-prep--test-7-section-8-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RHfnCQCqohk.mp4/RHfnCQCqohk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RHfnCQCqohk.mp4/RHfnCQCqohk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RHfnCQCqohk.m3u8/RHfnCQCqohk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RHfnCQCqohk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26107", "sha": "602c13d1c568998287a5421218d8b949ee4ef66a", "translated_description": "Problems 14-16 on page 807", "image_url": "https://img.youtube.com/vi/RHfnCQCqohk/hqdefault.jpg", "youtube_id": "RHfnCQCqohk", "content_kind": "Video", "readable_id": "sat-prep--test-7-section-8-part-4"}, {"translated_youtube_id": "FyoZaqF2dsY", "relative_url": "/video/sat-prep--test-8-section-2-part-1", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-2-part-1", "duration": 545, "translated_title": "SAT Prep: Test 8 Section 2 Part 1", "translated_description_html": "Problems 1-4 starting on page 1", "id": "26109", "description_html": "Problems 1-4 starting on page 1", "title": "SAT Prep: Test 8 Section 2 Part 1", "progress_key": "v26109", "edit_slug": "edit/v/26109", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-4 starting on page 1", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-2-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FyoZaqF2dsY.mp4/FyoZaqF2dsY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FyoZaqF2dsY.mp4/FyoZaqF2dsY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FyoZaqF2dsY.m3u8/FyoZaqF2dsY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FyoZaqF2dsY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26109", "sha": "3ead69cfd19e9a59b5b6b7fd238be1754edb9b87", "translated_description": "Problems 1-4 starting on page 1", "image_url": "https://img.youtube.com/vi/FyoZaqF2dsY/hqdefault.jpg", "youtube_id": "FyoZaqF2dsY", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-2-part-1"}, {"translated_youtube_id": "lumGHA9JGNY", "relative_url": "/video/sat-prep--test-8-section-2-part-2", "has_questions": false, "keywords": "SAT, Math, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-2-part-2", "duration": 540, "translated_title": "SAT Prep: Test 8 Section 2 Part 2", "translated_description_html": "Problems 5-8 starting on page 839", "id": "26111", "description_html": "Problems 5-8 starting on page 839", "title": "SAT Prep: Test 8 Section 2 Part 2", "progress_key": "v26111", "edit_slug": "edit/v/26111", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 5-8 starting on page 839", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-2-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lumGHA9JGNY.mp4/lumGHA9JGNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lumGHA9JGNY.mp4/lumGHA9JGNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lumGHA9JGNY.m3u8/lumGHA9JGNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lumGHA9JGNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26111", "sha": "64322c4e22b4b6a1171a29ce39338d7a87f6e1f9", "translated_description": "Problems 5-8 starting on page 839", "image_url": "https://img.youtube.com/vi/lumGHA9JGNY/hqdefault.jpg", "youtube_id": "lumGHA9JGNY", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-2-part-2"}, {"translated_youtube_id": "hbsWxarO5d4", "relative_url": "/video/sat-prep--test-8-section-2-part-3", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-2-part-3", "duration": 536, "translated_title": "SAT Prep: Test 8 Section 2 Part 3", "translated_description_html": "Problems 9-14 starting on page 841", "id": "26113", "description_html": "Problems 9-14 starting on page 841", "title": "SAT Prep: Test 8 Section 2 Part 3", "progress_key": "v26113", "edit_slug": "edit/v/26113", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 9-14 starting on page 841", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-2-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hbsWxarO5d4.mp4/hbsWxarO5d4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hbsWxarO5d4.mp4/hbsWxarO5d4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hbsWxarO5d4.m3u8/hbsWxarO5d4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hbsWxarO5d4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26113", "sha": "9ebf5b7b6dbc3e8504e87ee3a64a2a9590436be5", "translated_description": "Problems 9-14 starting on page 841", "image_url": "https://img.youtube.com/vi/hbsWxarO5d4/hqdefault.jpg", "youtube_id": "hbsWxarO5d4", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-2-part-3"}, {"translated_youtube_id": "423zK3ev1vM", "relative_url": "/video/sat-prep--test-8-section-2-part-4", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-2-part-4", "duration": 572, "translated_title": "SAT Prep: Test 8 Section 2 Part 4", "translated_description_html": "Problems 15-18 on page 843", "id": "26115", "description_html": "Problems 15-18 on page 843", "title": "SAT Prep: Test 8 Section 2 Part 4", "progress_key": "v26115", "edit_slug": "edit/v/26115", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 15-18 on page 843", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-2-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/423zK3ev1vM.mp4/423zK3ev1vM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/423zK3ev1vM.mp4/423zK3ev1vM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/423zK3ev1vM.m3u8/423zK3ev1vM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=423zK3ev1vM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26115", "sha": "6aa0234bb249d475e3928033803fbe921af63ba4", "translated_description": "Problems 15-18 on page 843", "image_url": "https://img.youtube.com/vi/423zK3ev1vM/hqdefault.jpg", "youtube_id": "423zK3ev1vM", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-2-part-4"}, {"translated_youtube_id": "yKiU7kzjTQw", "relative_url": "/video/sat-prep--test-8-section-5-part-1", "has_questions": false, "keywords": "Math, SAT, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-5-part-1", "duration": 585, "translated_title": "SAT Prep: Test 8 Section 5 Part 1", "translated_description_html": "Problems 1-6 starting on page 855", "id": "26117", "description_html": "Problems 1-6 starting on page 855", "title": "SAT Prep: Test 8 Section 5 Part 1", "progress_key": "v26117", "edit_slug": "edit/v/26117", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-6 starting on page 855", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-5-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yKiU7kzjTQw.mp4/yKiU7kzjTQw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yKiU7kzjTQw.mp4/yKiU7kzjTQw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yKiU7kzjTQw.m3u8/yKiU7kzjTQw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yKiU7kzjTQw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26117", "sha": "6850e5d52627bbd37584ae267b0642f4cad6b3fb", "translated_description": "Problems 1-6 starting on page 855", "image_url": "https://img.youtube.com/vi/yKiU7kzjTQw/hqdefault.jpg", "youtube_id": "yKiU7kzjTQw", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-5-part-1"}, {"translated_youtube_id": "4-JYxNfqp8g", "relative_url": "/video/sat-prep--test-8-section-5-part-2", "has_questions": false, "keywords": "Math, SAT, Prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-5-part-2", "duration": 589, "translated_title": "SAT Prep: Test 8 Section 5 Part 2", "translated_description_html": "Problems 7-11 starting on page 857", "id": "26119", "description_html": "Problems 7-11 starting on page 857", "title": "SAT Prep: Test 8 Section 5 Part 2", "progress_key": "v26119", "edit_slug": "edit/v/26119", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 7-11 starting on page 857", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-5-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4-JYxNfqp8g.mp4/4-JYxNfqp8g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4-JYxNfqp8g.mp4/4-JYxNfqp8g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4-JYxNfqp8g.m3u8/4-JYxNfqp8g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4-JYxNfqp8g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26119", "sha": "436874723d53bcb4b8437f97950878b57a71548d", "translated_description": "Problems 7-11 starting on page 857", "image_url": "https://img.youtube.com/vi/4-JYxNfqp8g/hqdefault.jpg", "youtube_id": "4-JYxNfqp8g", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-5-part-2"}, {"translated_youtube_id": "lPLm4pM4KXU", "relative_url": "/video/sat-prep--test-8-section-5-part-3", "has_questions": false, "keywords": "SAT, Math, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-5-part-3", "duration": 552, "translated_title": "SAT Prep: Test 8 Section 5 Part 3", "translated_description_html": "Problems 12-15 starting on page 858", "id": "26121", "description_html": "Problems 12-15 starting on page 858", "title": "SAT Prep: Test 8 Section 5 Part 3", "progress_key": "v26121", "edit_slug": "edit/v/26121", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 12-15 starting on page 858", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-5-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lPLm4pM4KXU.mp4/lPLm4pM4KXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lPLm4pM4KXU.mp4/lPLm4pM4KXU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lPLm4pM4KXU.m3u8/lPLm4pM4KXU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lPLm4pM4KXU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26121", "sha": "b1d5c50f99e96a1eb565d1f07f6530ca7cd69969", "translated_description": "Problems 12-15 starting on page 858", "image_url": "https://img.youtube.com/vi/lPLm4pM4KXU/hqdefault.jpg", "youtube_id": "lPLm4pM4KXU", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-5-part-3"}, {"translated_youtube_id": "Q5z0MSvTtRg", "relative_url": "/video/sat-prep--test-8-section-5-part-4", "has_questions": false, "keywords": "Math, SAT, prep", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-5-part-4", "duration": 600, "translated_title": "SAT Prep: Test 8 Section 5 Part 4", "translated_description_html": "Problems 16-20 starting on page 859", "id": "26123", "description_html": "Problems 16-20 starting on page 859", "title": "SAT Prep: Test 8 Section 5 Part 4", "progress_key": "v26123", "edit_slug": "edit/v/26123", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 16-20 starting on page 859", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-5-part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q5z0MSvTtRg.mp4/Q5z0MSvTtRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q5z0MSvTtRg.mp4/Q5z0MSvTtRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q5z0MSvTtRg.m3u8/Q5z0MSvTtRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q5z0MSvTtRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26123", "sha": "0c407af7143a37a3f337feb89b6403c7b1787f38", "translated_description": "Problems 16-20 starting on page 859", "image_url": "https://img.youtube.com/vi/Q5z0MSvTtRg/hqdefault.jpg", "youtube_id": "Q5z0MSvTtRg", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-5-part-4"}, {"translated_youtube_id": "q2TqEsD1t4U", "relative_url": "/video/sat-prep--test-8-section-8-part-1", "has_questions": false, "keywords": "Math, SAT, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-8-part-1", "duration": 552, "translated_title": "SAT Prep: Test 8 Section 8 Part 1", "translated_description_html": "Problems 1-7 starting on page 867", "id": "26125", "description_html": "Problems 1-7 starting on page 867", "title": "SAT Prep: Test 8 Section 8 Part 1", "progress_key": "v26125", "edit_slug": "edit/v/26125", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 1-7 starting on page 867", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-8-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q2TqEsD1t4U.mp4/q2TqEsD1t4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q2TqEsD1t4U.mp4/q2TqEsD1t4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q2TqEsD1t4U.m3u8/q2TqEsD1t4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q2TqEsD1t4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26125", "sha": "9493ba4fe2147a8fe9c689b82204edcd26cc35e8", "translated_description": "Problems 1-7 starting on page 867", "image_url": "https://img.youtube.com/vi/q2TqEsD1t4U/hqdefault.jpg", "youtube_id": "q2TqEsD1t4U", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-8-part-1"}, {"translated_youtube_id": "nwW5IMuRCaM", "relative_url": "/video/sat-prep--test-8-section-8-part-2", "has_questions": false, "keywords": "Math, SAT, prep, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-8-part-2", "duration": 531, "translated_title": "SAT Prep: Test 8 Section 8 Part 2", "translated_description_html": "Problems 8-13 starting on page 869", "id": "26127", "description_html": "Problems 8-13 starting on page 869", "title": "SAT Prep: Test 8 Section 8 Part 2", "progress_key": "v26127", "edit_slug": "edit/v/26127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 8-13 starting on page 869", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-8-part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nwW5IMuRCaM.mp4/nwW5IMuRCaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nwW5IMuRCaM.mp4/nwW5IMuRCaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nwW5IMuRCaM.m3u8/nwW5IMuRCaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nwW5IMuRCaM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26127", "sha": "4f5151de5e6630e1ef1d2fc3e4e49b76c2b6c51a", "translated_description": "Problems 8-13 starting on page 869", "image_url": "https://img.youtube.com/vi/nwW5IMuRCaM/hqdefault.jpg", "youtube_id": "nwW5IMuRCaM", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-8-part-2"}, {"translated_youtube_id": "Ghy5jasP6Ek", "relative_url": "/video/sat-prep--test-8-section-8-part-3", "has_questions": false, "keywords": "Math, SAT, examples, practice", "ka_url": "http://www.khanacademy.org/video/sat-prep--test-8-section-8-part-3", "duration": 432, "translated_title": "SAT Prep: Test 8 Section 8 Part 3", "translated_description_html": "Problems 14-16 starting on page 870", "id": "26129", "description_html": "Problems 14-16 starting on page 870", "title": "SAT Prep: Test 8 Section 8 Part 3", "progress_key": "v26129", "edit_slug": "edit/v/26129", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Problems 14-16 starting on page 870", "extra_properties": null, "node_slug": "v/sat-prep--test-8-section-8-part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:53:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ghy5jasP6Ek.mp4/Ghy5jasP6Ek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ghy5jasP6Ek.mp4/Ghy5jasP6Ek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ghy5jasP6Ek.m3u8/Ghy5jasP6Ek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ghy5jasP6Ek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26129", "sha": "a6b97b557ef69cd0f8d0525d5c75cb4d8cf1e234", "translated_description": "Problems 14-16 starting on page 870", "image_url": "https://img.youtube.com/vi/Ghy5jasP6Ek/hqdefault.jpg", "youtube_id": "Ghy5jasP6Ek", "content_kind": "Video", "readable_id": "sat-prep--test-8-section-8-part-3"}], "twitter_url": "", "translated_description": "Sal works through every problem in the first edition of the College Board \"Official SAT Study Guide\" (ISBN Number: 0-87447-718-2 published in 2004). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!\n\nIf you're using the second edition of the study guide with 10 practice tests, you can still use some of these videos. Practice tests 4-10 in the newer book correspond to tests 2-8 below.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through every problem in the first edition of the College Board \"Official SAT Study Guide\" (ISBN Number: 0-87447-718-2 published in 2004). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!\n\nIf you're using the second edition of the study guide with 10 practice tests, you can still use some of these videos. Practice tests 4-10 in the newer book correspond to tests 2-8 below.", "x_pos": 0.0, "node_slug": "sat-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8aa1bad", "topic_page_url": "/math/test-prep/sat-math", "extended_slug": "math/test-prep/sat-math", "slug": "sat-math", "tags": ["SAT", "prep", "math"], "kind": "Topic", "in_topic_browser": true, "sha": "0e9714f87e6d13ef1b306bc23d59453fd1867fd5", "standalone_title": "SAT Preparation", "y_pos": 0.0, "current_revision_key": "0e9714f87e6d13ef1b306bc23d59453fd1867fd5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/gmat", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/gmat", "translated_standalone_title": "GMAT", "translated_title": "GMAT", "gplus_url": "", "id": "xa0e62ca2", "old_key_name": "HyWfUAzTI7Bn3-m24_3aEuVhA5OLwvTL8reKSJq7", "hide": false, "title": "GMAT", "child_data": [{"kind": "Topic", "id": "x75c53e99"}, {"kind": "Topic", "id": "x2f623f20"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/gmat/problem-solving", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/gmat/problem-solving", "translated_standalone_title": "GMAT: Problem Solving", "translated_title": "Problem solving", "gplus_url": "", "id": "x75c53e99", "old_key_name": "xVkel52GednNsAn3v0tJUK_CBUBlIZqNqL7qUOqM", "hide": false, "title": "Problem solving", "child_data": [{"kind": "Video", "id": 25067}, {"kind": "Video", "id": 25069}, {"kind": "Video", "id": 25071}, {"kind": "Video", "id": 25073}, {"kind": "Video", "id": 25075}, {"kind": "Video", "id": 25077}, {"kind": "Video", "id": 25079}, {"kind": "Video", "id": 25081}, {"kind": "Video", "id": 25083}, {"kind": "Video", "id": 25085}, {"kind": "Video", "id": 25087}, {"kind": "Video", "id": 25089}, {"kind": "Video", "id": 25091}, {"kind": "Video", "id": 25093}, {"kind": "Video", "id": 25095}, {"kind": "Video", "id": 25097}, {"kind": "Video", "id": 25099}, {"kind": "Video", "id": 25101}, {"kind": "Video", "id": 25103}, {"kind": "Video", "id": 25105}, {"kind": "Video", "id": 25107}, {"kind": "Video", "id": 25109}, {"kind": "Video", "id": 25111}, {"kind": "Video", "id": 25113}, {"kind": "Video", "id": 25115}, {"kind": "Video", "id": 25117}, {"kind": "Video", "id": 25119}, {"kind": "Video", "id": 25121}, {"kind": "Video", "id": 25123}, {"kind": "Video", "id": 25125}, {"kind": "Video", "id": 25127}, {"kind": "Video", "id": 25129}, {"kind": "Video", "id": 25131}, {"kind": "Video", "id": 25133}, {"kind": "Video", "id": 25135}, {"kind": "Video", "id": 25137}, {"kind": "Video", "id": 25139}, {"kind": "Video", "id": 25141}, {"kind": "Video", "id": 25143}, {"kind": "Video", "id": 25145}, {"kind": "Video", "id": 25147}, {"kind": "Video", "id": 25149}, {"kind": "Video", "id": 25151}, {"kind": "Video", "id": 25153}, {"kind": "Video", "id": 25155}, {"kind": "Video", "id": 25157}, {"kind": "Video", "id": 25159}, {"kind": "Video", "id": 25161}, {"kind": "Video", "id": 25163}, {"kind": "Video", "id": 25165}, {"kind": "Video", "id": 25167}, {"kind": "Video", "id": 25169}, {"kind": "Video", "id": 25171}, {"kind": "Video", "id": 25173}], "children": [{"translated_youtube_id": "jciijU8Mj_Y", "relative_url": "/video/gmat-math--1", "has_questions": false, "keywords": "GMAT, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math--1", "duration": 593, "translated_title": "GMAT: Math 1", "translated_description_html": "1-6, pg. 152", "id": "25067", "description_html": "1-6, pg. 152", "title": "GMAT: Math 1", "progress_key": "v25067", "edit_slug": "edit/v/25067", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-6, pg. 152", "extra_properties": null, "node_slug": "v/gmat-math--1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.mp4/jciijU8Mj_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.mp4/jciijU8Mj_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.m3u8/jciijU8Mj_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jciijU8Mj_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25067", "sha": "2bba100c46fc2fdbb1f1977e1305fd8443eba7a5", "translated_description": "1-6, pg. 152", "image_url": "https://img.youtube.com/vi/jciijU8Mj_Y/hqdefault.jpg", "youtube_id": "jciijU8Mj_Y", "content_kind": "Video", "readable_id": "gmat-math--1"}, {"translated_youtube_id": "UlHo2cxKA84", "relative_url": "/video/gmat-math--2", "has_questions": false, "keywords": "GMAT, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math--2", "duration": 692, "translated_title": "GMAT: Math 2", "translated_description_html": "7-11, pg. 153", "id": "25069", "description_html": "7-11, pg. 153", "title": "GMAT: Math 2", "progress_key": "v25069", "edit_slug": "edit/v/25069", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "7-11, pg. 153", "extra_properties": null, "node_slug": "v/gmat-math--2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UlHo2cxKA84.mp4/UlHo2cxKA84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UlHo2cxKA84.mp4/UlHo2cxKA84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UlHo2cxKA84.m3u8/UlHo2cxKA84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UlHo2cxKA84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25069", "sha": "0cd4c397c63e4b2922c904a47d9af378b8477d0e", "translated_description": "7-11, pg. 153", "image_url": "https://img.youtube.com/vi/UlHo2cxKA84/hqdefault.jpg", "youtube_id": "UlHo2cxKA84", "content_kind": "Video", "readable_id": "gmat-math--2"}, {"translated_youtube_id": "G8s3SkAm-gM", "relative_url": "/video/gmat-math--3", "has_questions": false, "keywords": "GMAT, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math--3", "duration": 655, "translated_title": "GMAT: Math 3", "translated_description_html": "12-19, pgs. 153-154", "id": "25071", "description_html": "12-19, pgs. 153-154", "title": "GMAT: Math 3", "progress_key": "v25071", "edit_slug": "edit/v/25071", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "12-19, pgs. 153-154", "extra_properties": null, "node_slug": "v/gmat-math--3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G8s3SkAm-gM.mp4/G8s3SkAm-gM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G8s3SkAm-gM.mp4/G8s3SkAm-gM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G8s3SkAm-gM.m3u8/G8s3SkAm-gM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G8s3SkAm-gM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25071", "sha": "6c46ec9055422fd3ed0c1ecfbad0a8e0bf9c61ae", "translated_description": "12-19, pgs. 153-154", "image_url": "https://img.youtube.com/vi/G8s3SkAm-gM/hqdefault.jpg", "youtube_id": "G8s3SkAm-gM", "content_kind": "Video", "readable_id": "gmat-math--3"}, {"translated_youtube_id": "X58FV7MwdbY", "relative_url": "/video/gmat-math--4", "has_questions": false, "keywords": "GMAT, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math--4", "duration": 611, "translated_title": "GMAT: Math 4", "translated_description_html": "20-23, pgs. 154-155", "id": "25073", "description_html": "20-23, pgs. 154-155", "title": "GMAT: Math 4", "progress_key": "v25073", "edit_slug": "edit/v/25073", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "20-23, pgs. 154-155", "extra_properties": null, "node_slug": "v/gmat-math--4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X58FV7MwdbY.mp4/X58FV7MwdbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X58FV7MwdbY.mp4/X58FV7MwdbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X58FV7MwdbY.m3u8/X58FV7MwdbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X58FV7MwdbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25073", "sha": "d6b8cfb5f8959fdd202849516779a68f7bfced42", "translated_description": "20-23, pgs. 154-155", "image_url": "https://img.youtube.com/vi/X58FV7MwdbY/hqdefault.jpg", "youtube_id": "X58FV7MwdbY", "content_kind": "Video", "readable_id": "gmat-math--4"}, {"translated_youtube_id": "fRTx45FJWto", "relative_url": "/video/gmat-math--5", "has_questions": false, "keywords": "GMAT, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math--5", "duration": 659, "translated_title": "GMAT: Math 5", "translated_description_html": "24-29, pgs. 155-156", "id": "25075", "description_html": "24-29, pgs. 155-156", "title": "GMAT: Math 5", "progress_key": "v25075", "edit_slug": "edit/v/25075", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "24-29, pgs. 155-156", "extra_properties": null, "node_slug": "v/gmat-math--5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fRTx45FJWto.mp4/fRTx45FJWto.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fRTx45FJWto.mp4/fRTx45FJWto.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fRTx45FJWto.m3u8/fRTx45FJWto.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fRTx45FJWto&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25075", "sha": "04eaba9f807a728396ea5b4f6b25ac4fc0fb808a", "translated_description": "24-29, pgs. 155-156", "image_url": "https://img.youtube.com/vi/fRTx45FJWto/hqdefault.jpg", "youtube_id": "fRTx45FJWto", "content_kind": "Video", "readable_id": "gmat-math--5"}, {"translated_youtube_id": "Q59w-ACX30M", "relative_url": "/video/gmat--math-6", "has_questions": false, "keywords": "GMAT, problem, solving, math", "ka_url": "http://www.khanacademy.org/video/gmat--math-6", "duration": 637, "translated_title": "GMAT: Math 6", "translated_description_html": "30-35, pg. 156", "id": "25077", "description_html": "30-35, pg. 156", "title": "GMAT: Math 6", "progress_key": "v25077", "edit_slug": "edit/v/25077", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "30-35, pg. 156", "extra_properties": null, "node_slug": "v/gmat--math-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q59w-ACX30M.mp4/Q59w-ACX30M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q59w-ACX30M.mp4/Q59w-ACX30M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q59w-ACX30M.m3u8/Q59w-ACX30M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q59w-ACX30M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25077", "sha": "380ac49cb6537451c7ce3efb6f24544d44ae5c4d", "translated_description": "30-35, pg. 156", "image_url": "https://img.youtube.com/vi/Q59w-ACX30M/hqdefault.jpg", "youtube_id": "Q59w-ACX30M", "content_kind": "Video", "readable_id": "gmat--math-6"}, {"translated_youtube_id": "HqiBo62O8bk", "relative_url": "/video/gmat--math-7", "has_questions": false, "keywords": "GMAT, problem, solving, math", "ka_url": "http://www.khanacademy.org/video/gmat--math-7", "duration": 574, "translated_title": "GMAT: Math 7", "translated_description_html": "36-41, pgs. 156-157", "id": "25079", "description_html": "36-41, pgs. 156-157", "title": "GMAT: Math 7", "progress_key": "v25079", "edit_slug": "edit/v/25079", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "36-41, pgs. 156-157", "extra_properties": null, "node_slug": "v/gmat--math-7", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HqiBo62O8bk.mp4/HqiBo62O8bk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HqiBo62O8bk.mp4/HqiBo62O8bk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HqiBo62O8bk.m3u8/HqiBo62O8bk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HqiBo62O8bk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25079", "sha": "7f5ad5b33ae03d0a748edd4fd570067f2fd737ae", "translated_description": "36-41, pgs. 156-157", "image_url": "https://img.youtube.com/vi/HqiBo62O8bk/hqdefault.jpg", "youtube_id": "HqiBo62O8bk", "content_kind": "Video", "readable_id": "gmat--math-7"}, {"translated_youtube_id": "yZtpr_curdc", "relative_url": "/video/gmat--math-8", "has_questions": false, "keywords": "gmat, problem, solving, math", "ka_url": "http://www.khanacademy.org/video/gmat--math-8", "duration": 664, "translated_title": "GMAT: Math 8", "translated_description_html": "42-48, pgs. 157-158", "id": "25081", "description_html": "42-48, pgs. 157-158", "title": "GMAT: Math 8", "progress_key": "v25081", "edit_slug": "edit/v/25081", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "42-48, pgs. 157-158", "extra_properties": null, "node_slug": "v/gmat--math-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yZtpr_curdc.mp4/yZtpr_curdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yZtpr_curdc.mp4/yZtpr_curdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yZtpr_curdc.m3u8/yZtpr_curdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yZtpr_curdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25081", "sha": "097dea3789ad8521456470c5407a754c24685bb4", "translated_description": "42-48, pgs. 157-158", "image_url": "https://img.youtube.com/vi/yZtpr_curdc/hqdefault.jpg", "youtube_id": "yZtpr_curdc", "content_kind": "Video", "readable_id": "gmat--math-8"}, {"translated_youtube_id": "HkBFunEh8iY", "relative_url": "/video/gmat---math-9", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat---math-9", "duration": 591, "translated_title": "GMAT: Math 9", "translated_description_html": "49-54, pgs. 158-159", "id": "25083", "description_html": "49-54, pgs. 158-159", "title": "GMAT: Math 9", "progress_key": "v25083", "edit_slug": "edit/v/25083", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "49-54, pgs. 158-159", "extra_properties": null, "node_slug": "v/gmat---math-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HkBFunEh8iY.mp4/HkBFunEh8iY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HkBFunEh8iY.mp4/HkBFunEh8iY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HkBFunEh8iY.m3u8/HkBFunEh8iY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HkBFunEh8iY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25083", "sha": "b684dd9b5101fc31b206402509736658648d8fbc", "translated_description": "49-54, pgs. 158-159", "image_url": "https://img.youtube.com/vi/HkBFunEh8iY/hqdefault.jpg", "youtube_id": "HkBFunEh8iY", "content_kind": "Video", "readable_id": "gmat---math-9"}, {"translated_youtube_id": "E8HagppxzxY", "relative_url": "/video/gmat---math-10", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat---math-10", "duration": 644, "translated_title": "GMAT: Math 10", "translated_description_html": "55-60, pg. 159", "id": "25085", "description_html": "55-60, pg. 159", "title": "GMAT: Math 10", "progress_key": "v25085", "edit_slug": "edit/v/25085", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "55-60, pg. 159", "extra_properties": null, "node_slug": "v/gmat---math-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E8HagppxzxY.mp4/E8HagppxzxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E8HagppxzxY.mp4/E8HagppxzxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E8HagppxzxY.m3u8/E8HagppxzxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E8HagppxzxY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25085", "sha": "0725cd1d5e883fa62cd7358b06b3a6b146224984", "translated_description": "55-60, pg. 159", "image_url": "https://img.youtube.com/vi/E8HagppxzxY/hqdefault.jpg", "youtube_id": "E8HagppxzxY", "content_kind": "Video", "readable_id": "gmat---math-10"}, {"translated_youtube_id": "YOlP6xmw7zU", "relative_url": "/video/gmat---math-11", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat---math-11", "duration": 688, "translated_title": "GMAT: Math 11", "translated_description_html": "61-64, pg. 160", "id": "25087", "description_html": "61-64, pg. 160", "title": "GMAT: Math 11", "progress_key": "v25087", "edit_slug": "edit/v/25087", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "61-64, pg. 160", "extra_properties": null, "node_slug": "v/gmat---math-11", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YOlP6xmw7zU.mp4/YOlP6xmw7zU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YOlP6xmw7zU.mp4/YOlP6xmw7zU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YOlP6xmw7zU.m3u8/YOlP6xmw7zU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YOlP6xmw7zU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25087", "sha": "ea33282d3c335d8dfd99b836639750a5cc918c57", "translated_description": "61-64, pg. 160", "image_url": "https://img.youtube.com/vi/YOlP6xmw7zU/hqdefault.jpg", "youtube_id": "YOlP6xmw7zU", "content_kind": "Video", "readable_id": "gmat---math-11"}, {"translated_youtube_id": "VdBZSEF_FhU", "relative_url": "/video/gmat---math-12", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat---math-12", "duration": 601, "translated_title": "GMAT: Math 12", "translated_description_html": "65-69, pgs. 160-161", "id": "25089", "description_html": "65-69, pgs. 160-161", "title": "GMAT: Math 12", "progress_key": "v25089", "edit_slug": "edit/v/25089", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "65-69, pgs. 160-161", "extra_properties": null, "node_slug": "v/gmat---math-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VdBZSEF_FhU.mp4/VdBZSEF_FhU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VdBZSEF_FhU.mp4/VdBZSEF_FhU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VdBZSEF_FhU.m3u8/VdBZSEF_FhU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VdBZSEF_FhU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25089", "sha": "b8a33f55347ad7deda586d0c793425a7ba6590eb", "translated_description": "65-69, pgs. 160-161", "image_url": "https://img.youtube.com/vi/VdBZSEF_FhU/hqdefault.jpg", "youtube_id": "VdBZSEF_FhU", "content_kind": "Video", "readable_id": "gmat---math-12"}, {"translated_youtube_id": "9r8Wb7prWZA", "relative_url": "/video/gmat---math-13", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat---math-13", "duration": 630, "translated_title": "GMAT: Math 13", "translated_description_html": "70-75, pg. 161", "id": "25091", "description_html": "70-75, pg. 161", "title": "GMAT: Math 13", "progress_key": "v25091", "edit_slug": "edit/v/25091", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "70-75, pg. 161", "extra_properties": null, "node_slug": "v/gmat---math-13", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9r8Wb7prWZA.mp4/9r8Wb7prWZA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9r8Wb7prWZA.mp4/9r8Wb7prWZA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9r8Wb7prWZA.m3u8/9r8Wb7prWZA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9r8Wb7prWZA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25091", "sha": "bda42bdb48c3f4d20ff96cb042500be51919458e", "translated_description": "70-75, pg. 161", "image_url": "https://img.youtube.com/vi/9r8Wb7prWZA/hqdefault.jpg", "youtube_id": "9r8Wb7prWZA", "content_kind": "Video", "readable_id": "gmat---math-13"}, {"translated_youtube_id": "M8TOJrI6cJc", "relative_url": "/video/gmat--math-14", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-14", "duration": 630, "translated_title": "GMAT: Math 14", "translated_description_html": "76-80, pg. 162", "id": "25093", "description_html": "76-80, pg. 162", "title": "GMAT: Math 14", "progress_key": "v25093", "edit_slug": "edit/v/25093", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "76-80, pg. 162", "extra_properties": null, "node_slug": "v/gmat--math-14", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M8TOJrI6cJc.mp4/M8TOJrI6cJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M8TOJrI6cJc.mp4/M8TOJrI6cJc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M8TOJrI6cJc.m3u8/M8TOJrI6cJc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M8TOJrI6cJc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25093", "sha": "62b0213abbd89ec9efdd87427da5310c9a17b500", "translated_description": "76-80, pg. 162", "image_url": "https://img.youtube.com/vi/M8TOJrI6cJc/hqdefault.jpg", "youtube_id": "M8TOJrI6cJc", "content_kind": "Video", "readable_id": "gmat--math-14"}, {"translated_youtube_id": "BdSNiuJnZa8", "relative_url": "/video/gmat--math-15", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-15", "duration": 673, "translated_title": "GMAT: Math 15", "translated_description_html": "81-86, pgs. 162-163", "id": "25095", "description_html": "81-86, pgs. 162-163", "title": "GMAT: Math 15", "progress_key": "v25095", "edit_slug": "edit/v/25095", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "81-86, pgs. 162-163", "extra_properties": null, "node_slug": "v/gmat--math-15", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BdSNiuJnZa8.mp4/BdSNiuJnZa8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BdSNiuJnZa8.mp4/BdSNiuJnZa8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BdSNiuJnZa8.m3u8/BdSNiuJnZa8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BdSNiuJnZa8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25095", "sha": "3fb4ee652a73a7ea08ab7dec574102504f3361a4", "translated_description": "81-86, pgs. 162-163", "image_url": "https://img.youtube.com/vi/BdSNiuJnZa8/hqdefault.jpg", "youtube_id": "BdSNiuJnZa8", "content_kind": "Video", "readable_id": "gmat--math-15"}, {"translated_youtube_id": "dA1u8RD49dU", "relative_url": "/video/gmat--math-16", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-16", "duration": 575, "translated_title": "GMAT: Math 16", "translated_description_html": "87-91, pg. 163", "id": "25097", "description_html": "87-91, pg. 163", "title": "GMAT: Math 16", "progress_key": "v25097", "edit_slug": "edit/v/25097", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "87-91, pg. 163", "extra_properties": null, "node_slug": "v/gmat--math-16", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dA1u8RD49dU.mp4/dA1u8RD49dU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dA1u8RD49dU.mp4/dA1u8RD49dU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dA1u8RD49dU.m3u8/dA1u8RD49dU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dA1u8RD49dU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25097", "sha": "10271da42bd7d221625bb54d4fc9bf4ded8b5d78", "translated_description": "87-91, pg. 163", "image_url": "https://img.youtube.com/vi/dA1u8RD49dU/hqdefault.jpg", "youtube_id": "dA1u8RD49dU", "content_kind": "Video", "readable_id": "gmat--math-16"}, {"translated_youtube_id": "f3TQEpL7dk4", "relative_url": "/video/gmat--math-17", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-17", "duration": 640, "translated_title": "GMAT: Math 17", "translated_description_html": "92-95, pg. 164", "id": "25099", "description_html": "92-95, pg. 164", "title": "GMAT: Math 17", "progress_key": "v25099", "edit_slug": "edit/v/25099", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "92-95, pg. 164", "extra_properties": null, "node_slug": "v/gmat--math-17", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f3TQEpL7dk4.mp4/f3TQEpL7dk4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f3TQEpL7dk4.mp4/f3TQEpL7dk4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f3TQEpL7dk4.m3u8/f3TQEpL7dk4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f3TQEpL7dk4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25099", "sha": "577376ba734c71deaae71df05792748f42246191", "translated_description": "92-95, pg. 164", "image_url": "https://img.youtube.com/vi/f3TQEpL7dk4/hqdefault.jpg", "youtube_id": "f3TQEpL7dk4", "content_kind": "Video", "readable_id": "gmat--math-17"}, {"translated_youtube_id": "ITc5DeU1zaw", "relative_url": "/video/gmat--math-18", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-18", "duration": 593, "translated_title": "GMAT: Math 18", "translated_description_html": "96-99, pgs. 164-165", "id": "25101", "description_html": "96-99, pgs. 164-165", "title": "GMAT: Math 18", "progress_key": "v25101", "edit_slug": "edit/v/25101", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "96-99, pgs. 164-165", "extra_properties": null, "node_slug": "v/gmat--math-18", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ITc5DeU1zaw.mp4/ITc5DeU1zaw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ITc5DeU1zaw.mp4/ITc5DeU1zaw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ITc5DeU1zaw.m3u8/ITc5DeU1zaw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ITc5DeU1zaw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25101", "sha": "83b709401f8f5ad5c84d4959760873212cb14444", "translated_description": "96-99, pgs. 164-165", "image_url": "https://img.youtube.com/vi/ITc5DeU1zaw/hqdefault.jpg", "youtube_id": "ITc5DeU1zaw", "content_kind": "Video", "readable_id": "gmat--math-18"}, {"translated_youtube_id": "m44llkkWI0g", "relative_url": "/video/gmat--math-19", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat--math-19", "duration": 783, "translated_title": "GMAT: Math 19", "translated_description_html": "100-104, pg. 165", "id": "25103", "description_html": "100-104, pg. 165", "title": "GMAT: Math 19", "progress_key": "v25103", "edit_slug": "edit/v/25103", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "100-104, pg. 165", "extra_properties": null, "node_slug": "v/gmat--math-19", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m44llkkWI0g.mp4/m44llkkWI0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m44llkkWI0g.mp4/m44llkkWI0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m44llkkWI0g.m3u8/m44llkkWI0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m44llkkWI0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25103", "sha": "5c3398cc91b5df24d4f9959f01e51e321be8ccb1", "translated_description": "100-104, pg. 165", "image_url": "https://img.youtube.com/vi/m44llkkWI0g/hqdefault.jpg", "youtube_id": "m44llkkWI0g", "content_kind": "Video", "readable_id": "gmat--math-19"}, {"translated_youtube_id": "-Jx6vyc_830", "relative_url": "/video/gmat-math-20", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-20", "duration": 621, "translated_title": "GMAT: Math 20", "translated_description_html": "106-109, pg. 166", "id": "25105", "description_html": "106-109, pg. 166", "title": "GMAT: Math 20", "progress_key": "v25105", "edit_slug": "edit/v/25105", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "106-109, pg. 166", "extra_properties": null, "node_slug": "v/gmat-math-20", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-Jx6vyc_830.mp4/-Jx6vyc_830.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-Jx6vyc_830.mp4/-Jx6vyc_830.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-Jx6vyc_830.m3u8/-Jx6vyc_830.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-Jx6vyc_830&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25105", "sha": "06fdec73eb6bdd4810ad9642fd0b49c65736e944", "translated_description": "106-109, pg. 166", "image_url": "https://img.youtube.com/vi/-Jx6vyc_830/hqdefault.jpg", "youtube_id": "-Jx6vyc_830", "content_kind": "Video", "readable_id": "gmat-math-20"}, {"translated_youtube_id": "tcm-v12m7hU", "relative_url": "/video/gmat-math-21", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-21", "duration": 686, "translated_title": "GMAT: Math 21", "translated_description_html": "110-114, pgs. 166-167", "id": "25107", "description_html": "110-114, pgs. 166-167", "title": "GMAT: Math 21", "progress_key": "v25107", "edit_slug": "edit/v/25107", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "110-114, pgs. 166-167", "extra_properties": null, "node_slug": "v/gmat-math-21", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tcm-v12m7hU.mp4/tcm-v12m7hU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tcm-v12m7hU.mp4/tcm-v12m7hU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tcm-v12m7hU.m3u8/tcm-v12m7hU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tcm-v12m7hU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25107", "sha": "07971e488bce48a4f763fafd502376114d5c9592", "translated_description": "110-114, pgs. 166-167", "image_url": "https://img.youtube.com/vi/tcm-v12m7hU/hqdefault.jpg", "youtube_id": "tcm-v12m7hU", "content_kind": "Video", "readable_id": "gmat-math-21"}, {"translated_youtube_id": "Zplk5NcBt3c", "relative_url": "/video/gmat-math-22", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-22", "duration": 698, "translated_title": "GMAT: Math 22", "translated_description_html": "115-119, pgs. 168-169", "id": "25109", "description_html": "115-119, pgs. 168-169", "title": "GMAT: Math 22", "progress_key": "v25109", "edit_slug": "edit/v/25109", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "115-119, pgs. 168-169", "extra_properties": null, "node_slug": "v/gmat-math-22", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zplk5NcBt3c.mp4/Zplk5NcBt3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zplk5NcBt3c.mp4/Zplk5NcBt3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zplk5NcBt3c.m3u8/Zplk5NcBt3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Zplk5NcBt3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25109", "sha": "b3edc7ea0367b6988b7329840f5e322a05201840", "translated_description": "115-119, pgs. 168-169", "image_url": "https://img.youtube.com/vi/Zplk5NcBt3c/hqdefault.jpg", "youtube_id": "Zplk5NcBt3c", "content_kind": "Video", "readable_id": "gmat-math-22"}, {"translated_youtube_id": "Qod67l16LfQ", "relative_url": "/video/gmat-math-23", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-23", "duration": 599, "translated_title": "GMAT: Math 23", "translated_description_html": "120-123, pg. 168", "id": "25111", "description_html": "120-123, pg. 168", "title": "GMAT: Math 23", "progress_key": "v25111", "edit_slug": "edit/v/25111", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "120-123, pg. 168", "extra_properties": null, "node_slug": "v/gmat-math-23", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qod67l16LfQ.mp4/Qod67l16LfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qod67l16LfQ.mp4/Qod67l16LfQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qod67l16LfQ.m3u8/Qod67l16LfQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qod67l16LfQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25111", "sha": "9317e2bd630df355fa2d2ca68227d10647863556", "translated_description": "120-123, pg. 168", "image_url": "https://img.youtube.com/vi/Qod67l16LfQ/hqdefault.jpg", "youtube_id": "Qod67l16LfQ", "content_kind": "Video", "readable_id": "gmat-math-23"}, {"translated_youtube_id": "QR9K8M4u8rk", "relative_url": "/video/gmat-math-24", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-24", "duration": 667, "translated_title": "GMAT: Math 24", "translated_description_html": "124-128, pgs. 168-169", "id": "25113", "description_html": "124-128, pgs. 168-169", "title": "GMAT: Math 24", "progress_key": "v25113", "edit_slug": "edit/v/25113", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "124-128, pgs. 168-169", "extra_properties": null, "node_slug": "v/gmat-math-24", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QR9K8M4u8rk.mp4/QR9K8M4u8rk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QR9K8M4u8rk.mp4/QR9K8M4u8rk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QR9K8M4u8rk.m3u8/QR9K8M4u8rk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QR9K8M4u8rk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25113", "sha": "16f5d39b75c6a41dcef86570ce2418807293c074", "translated_description": "124-128, pgs. 168-169", "image_url": "https://img.youtube.com/vi/QR9K8M4u8rk/hqdefault.jpg", "youtube_id": "QR9K8M4u8rk", "content_kind": "Video", "readable_id": "gmat-math-24"}, {"translated_youtube_id": "A6FP-2d3GnQ", "relative_url": "/video/gmat-math-25", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-25", "duration": 691, "translated_title": "GMAT: Math 25", "translated_description_html": "129-132, pgs. 169-170", "id": "25115", "description_html": "129-132, pgs. 169-170", "title": "GMAT: Math 25", "progress_key": "v25115", "edit_slug": "edit/v/25115", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "129-132, pgs. 169-170", "extra_properties": null, "node_slug": "v/gmat-math-25", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A6FP-2d3GnQ.mp4/A6FP-2d3GnQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A6FP-2d3GnQ.mp4/A6FP-2d3GnQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A6FP-2d3GnQ.m3u8/A6FP-2d3GnQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A6FP-2d3GnQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25115", "sha": "bf94d22a3ff3d9d56d7a1bf65cc3bebbaedeebaa", "translated_description": "129-132, pgs. 169-170", "image_url": "https://img.youtube.com/vi/A6FP-2d3GnQ/hqdefault.jpg", "youtube_id": "A6FP-2d3GnQ", "content_kind": "Video", "readable_id": "gmat-math-25"}, {"translated_youtube_id": "ucqaqTR6EK8", "relative_url": "/video/gmat-math-26", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-26", "duration": 718, "translated_title": "GMAT: Math 26", "translated_description_html": "133-137, pg. 170", "id": "25117", "description_html": "133-137, pg. 170", "title": "GMAT: Math 26", "progress_key": "v25117", "edit_slug": "edit/v/25117", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "133-137, pg. 170", "extra_properties": null, "node_slug": "v/gmat-math-26", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ucqaqTR6EK8.mp4/ucqaqTR6EK8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ucqaqTR6EK8.mp4/ucqaqTR6EK8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ucqaqTR6EK8.m3u8/ucqaqTR6EK8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ucqaqTR6EK8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25117", "sha": "e321de85e90a2f03ad1c21d9cbb1636fc66d01a9", "translated_description": "133-137, pg. 170", "image_url": "https://img.youtube.com/vi/ucqaqTR6EK8/hqdefault.jpg", "youtube_id": "ucqaqTR6EK8", "content_kind": "Video", "readable_id": "gmat-math-26"}, {"translated_youtube_id": "SEtkn9S-WHY", "relative_url": "/video/gmat-math-27", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-27", "duration": 675, "translated_title": "GMAT: Math 27", "translated_description_html": "138-142, pg. 171", "id": "25119", "description_html": "138-142, pg. 171", "title": "GMAT: Math 27", "progress_key": "v25119", "edit_slug": "edit/v/25119", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "138-142, pg. 171", "extra_properties": null, "node_slug": "v/gmat-math-27", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.m3u8/SEtkn9S-WHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SEtkn9S-WHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25119", "sha": "4ddc9b1cc4cbc1cc6d3ea4433dfd2d7b4cf1b66e", "translated_description": "138-142, pg. 171", "image_url": "https://img.youtube.com/vi/SEtkn9S-WHY/hqdefault.jpg", "youtube_id": "SEtkn9S-WHY", "content_kind": "Video", "readable_id": "gmat-math-27"}, {"translated_youtube_id": "4r6QHJzu8YQ", "relative_url": "/video/gmat-math-28", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-28", "duration": 609, "translated_title": "GMAT: Math 28", "translated_description_html": "143-147, pgs. 171-172", "id": "25121", "description_html": "143-147, pgs. 171-172", "title": "GMAT: Math 28", "progress_key": "v25121", "edit_slug": "edit/v/25121", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "143-147, pgs. 171-172", "extra_properties": null, "node_slug": "v/gmat-math-28", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4r6QHJzu8YQ.mp4/4r6QHJzu8YQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4r6QHJzu8YQ.mp4/4r6QHJzu8YQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4r6QHJzu8YQ.m3u8/4r6QHJzu8YQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4r6QHJzu8YQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25121", "sha": "2a90a46a1355e77899d6da16c13db6b3dde20290", "translated_description": "143-147, pgs. 171-172", "image_url": "https://img.youtube.com/vi/4r6QHJzu8YQ/hqdefault.jpg", "youtube_id": "4r6QHJzu8YQ", "content_kind": "Video", "readable_id": "gmat-math-28"}, {"translated_youtube_id": "WBWV_uvgC6w", "relative_url": "/video/gmat-math-29", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-29", "duration": 648, "translated_title": "GMAT: Math 29", "translated_description_html": "148-153, pgs. 172-173", "id": "25123", "description_html": "148-153, pgs. 172-173", "title": "GMAT: Math 29", "progress_key": "v25123", "edit_slug": "edit/v/25123", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "148-153, pgs. 172-173", "extra_properties": null, "node_slug": "v/gmat-math-29", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WBWV_uvgC6w.mp4/WBWV_uvgC6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WBWV_uvgC6w.mp4/WBWV_uvgC6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WBWV_uvgC6w.m3u8/WBWV_uvgC6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WBWV_uvgC6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25123", "sha": "4cfc57fd6fcd4242f9300b1905a347459f847804", "translated_description": "148-153, pgs. 172-173", "image_url": "https://img.youtube.com/vi/WBWV_uvgC6w/hqdefault.jpg", "youtube_id": "WBWV_uvgC6w", "content_kind": "Video", "readable_id": "gmat-math-29"}, {"translated_youtube_id": "zpnjkbJNp90", "relative_url": "/video/gmat-math-30", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-30", "duration": 701, "translated_title": "GMAT: Math 30", "translated_description_html": "154-160, pg. 173", "id": "25125", "description_html": "154-160, pg. 173", "title": "GMAT: Math 30", "progress_key": "v25125", "edit_slug": "edit/v/25125", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "154-160, pg. 173", "extra_properties": null, "node_slug": "v/gmat-math-30", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zpnjkbJNp90.mp4/zpnjkbJNp90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zpnjkbJNp90.mp4/zpnjkbJNp90.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zpnjkbJNp90.m3u8/zpnjkbJNp90.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zpnjkbJNp90&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25125", "sha": "1e55deabb1901e2e9942a8e7921eaa3540206a89", "translated_description": "154-160, pg. 173", "image_url": "https://img.youtube.com/vi/zpnjkbJNp90/hqdefault.jpg", "youtube_id": "zpnjkbJNp90", "content_kind": "Video", "readable_id": "gmat-math-30"}, {"translated_youtube_id": "wYGKRP0gD3I", "relative_url": "/video/gmat-math-31", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-31", "duration": 206, "translated_title": "GMAT: Math 31", "translated_description_html": "161-162, pg. 174", "id": "25127", "description_html": "161-162, pg. 174", "title": "GMAT: Math 31", "progress_key": "v25127", "edit_slug": "edit/v/25127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "161-162, pg. 174", "extra_properties": null, "node_slug": "v/gmat-math-31", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYGKRP0gD3I.mp4/wYGKRP0gD3I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYGKRP0gD3I.mp4/wYGKRP0gD3I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wYGKRP0gD3I.m3u8/wYGKRP0gD3I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wYGKRP0gD3I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25127", "sha": "93764cb98642e58584144b85e0ce279e71ec75f7", "translated_description": "161-162, pg. 174", "image_url": "https://img.youtube.com/vi/wYGKRP0gD3I/hqdefault.jpg", "youtube_id": "wYGKRP0gD3I", "content_kind": "Video", "readable_id": "gmat-math-31"}, {"translated_youtube_id": "uG2VpBYd-Hk", "relative_url": "/video/gmat-math-32", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-32", "duration": 661, "translated_title": "GMAT: Math 32", "translated_description_html": "163-166, pg. 174", "id": "25129", "description_html": "163-166, pg. 174", "title": "GMAT: Math 32", "progress_key": "v25129", "edit_slug": "edit/v/25129", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "163-166, pg. 174", "extra_properties": null, "node_slug": "v/gmat-math-32", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uG2VpBYd-Hk.mp4/uG2VpBYd-Hk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uG2VpBYd-Hk.mp4/uG2VpBYd-Hk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uG2VpBYd-Hk.m3u8/uG2VpBYd-Hk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uG2VpBYd-Hk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25129", "sha": "a8b575351d898e1d23a81159044e00b0c7acf557", "translated_description": "163-166, pg. 174", "image_url": "https://img.youtube.com/vi/uG2VpBYd-Hk/hqdefault.jpg", "youtube_id": "uG2VpBYd-Hk", "content_kind": "Video", "readable_id": "gmat-math-32"}, {"translated_youtube_id": "wdINk29ZSMA", "relative_url": "/video/gmat-math-33", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-33", "duration": 613, "translated_title": "GMAT: Math 33", "translated_description_html": "167-172, pgs. 174-175", "id": "25131", "description_html": "167-172, pgs. 174-175", "title": "GMAT: Math 33", "progress_key": "v25131", "edit_slug": "edit/v/25131", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "167-172, pgs. 174-175", "extra_properties": null, "node_slug": "v/gmat-math-33", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wdINk29ZSMA.mp4/wdINk29ZSMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wdINk29ZSMA.mp4/wdINk29ZSMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wdINk29ZSMA.m3u8/wdINk29ZSMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wdINk29ZSMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25131", "sha": "31d6da3efb61c86401fc6e8f833739fd77456d26", "translated_description": "167-172, pgs. 174-175", "image_url": "https://img.youtube.com/vi/wdINk29ZSMA/hqdefault.jpg", "youtube_id": "wdINk29ZSMA", "content_kind": "Video", "readable_id": "gmat-math-33"}, {"translated_youtube_id": "OgxsswJEZ7k", "relative_url": "/video/gmat-math-34", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-34", "duration": 597, "translated_title": "GMAT: Math 34", "translated_description_html": "173-176, pgs. 175-176", "id": "25133", "description_html": "173-176, pgs. 175-176", "title": "GMAT: Math 34", "progress_key": "v25133", "edit_slug": "edit/v/25133", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "173-176, pgs. 175-176", "extra_properties": null, "node_slug": "v/gmat-math-34", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OgxsswJEZ7k.mp4/OgxsswJEZ7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OgxsswJEZ7k.mp4/OgxsswJEZ7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OgxsswJEZ7k.m3u8/OgxsswJEZ7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OgxsswJEZ7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25133", "sha": "c172bbe48728f43a22fd1919fca194de58f77c43", "translated_description": "173-176, pgs. 175-176", "image_url": "https://img.youtube.com/vi/OgxsswJEZ7k/hqdefault.jpg", "youtube_id": "OgxsswJEZ7k", "content_kind": "Video", "readable_id": "gmat-math-34"}, {"translated_youtube_id": "FEYN0jK1-pI", "relative_url": "/video/gmat-math-35", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-35", "duration": 645, "translated_title": "GMAT: Math 35", "translated_description_html": "177-180, pg. 176", "id": "25135", "description_html": "177-180, pg. 176", "title": "GMAT: Math 35", "progress_key": "v25135", "edit_slug": "edit/v/25135", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "177-180, pg. 176", "extra_properties": null, "node_slug": "v/gmat-math-35", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FEYN0jK1-pI.mp4/FEYN0jK1-pI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FEYN0jK1-pI.mp4/FEYN0jK1-pI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FEYN0jK1-pI.m3u8/FEYN0jK1-pI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FEYN0jK1-pI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25135", "sha": "0c4bb19ae8eaeb6666ec25f6d0d0030c837271be", "translated_description": "177-180, pg. 176", "image_url": "https://img.youtube.com/vi/FEYN0jK1-pI/hqdefault.jpg", "youtube_id": "FEYN0jK1-pI", "content_kind": "Video", "readable_id": "gmat-math-35"}, {"translated_youtube_id": "x8pEjhCc5ug", "relative_url": "/video/gmat-math-36", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-36", "duration": 588, "translated_title": "GMAT: Math 36", "translated_description_html": "180(simpler)-184, pgs. 176-177", "id": "25137", "description_html": "180(simpler)-184, pgs. 176-177", "title": "GMAT: Math 36", "progress_key": "v25137", "edit_slug": "edit/v/25137", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "180(simpler)-184, pgs. 176-177", "extra_properties": null, "node_slug": "v/gmat-math-36", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x8pEjhCc5ug.mp4/x8pEjhCc5ug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x8pEjhCc5ug.mp4/x8pEjhCc5ug.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x8pEjhCc5ug.m3u8/x8pEjhCc5ug.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x8pEjhCc5ug&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25137", "sha": "b4dc40910dc127d48b78a72d2a33cb777796d71f", "translated_description": "180(simpler)-184, pgs. 176-177", "image_url": "https://img.youtube.com/vi/x8pEjhCc5ug/hqdefault.jpg", "youtube_id": "x8pEjhCc5ug", "content_kind": "Video", "readable_id": "gmat-math-36"}, {"translated_youtube_id": "QcAr1552o84", "relative_url": "/video/gmat-math-37", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-37", "duration": 627, "translated_title": "GMAT: Math 37", "translated_description_html": "185-189, pgs. 177-178", "id": "25139", "description_html": "185-189, pgs. 177-178", "title": "GMAT: Math 37", "progress_key": "v25139", "edit_slug": "edit/v/25139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "185-189, pgs. 177-178", "extra_properties": null, "node_slug": "v/gmat-math-37", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QcAr1552o84.mp4/QcAr1552o84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QcAr1552o84.mp4/QcAr1552o84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QcAr1552o84.m3u8/QcAr1552o84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QcAr1552o84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25139", "sha": "1a1da5018e7e57ea5438f0505932df0b0b975a45", "translated_description": "185-189, pgs. 177-178", "image_url": "https://img.youtube.com/vi/QcAr1552o84/hqdefault.jpg", "youtube_id": "QcAr1552o84", "content_kind": "Video", "readable_id": "gmat-math-37"}, {"translated_youtube_id": "-y9SELk3UNU", "relative_url": "/video/gmat-math-38", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-38", "duration": 699, "translated_title": "GMAT: Math 38", "translated_description_html": "190-194, pg. 178", "id": "25141", "description_html": "190-194, pg. 178", "title": "GMAT: Math 38", "progress_key": "v25141", "edit_slug": "edit/v/25141", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "190-194, pg. 178", "extra_properties": null, "node_slug": "v/gmat-math-38", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-y9SELk3UNU.mp4/-y9SELk3UNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-y9SELk3UNU.mp4/-y9SELk3UNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-y9SELk3UNU.m3u8/-y9SELk3UNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-y9SELk3UNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25141", "sha": "274e7a6d3e74a10bc2edd970ceb5abef0e844e1c", "translated_description": "190-194, pg. 178", "image_url": "https://img.youtube.com/vi/-y9SELk3UNU/hqdefault.jpg", "youtube_id": "-y9SELk3UNU", "content_kind": "Video", "readable_id": "gmat-math-38"}, {"translated_youtube_id": "1bj7FPzUiWc", "relative_url": "/video/gmat-math-39", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-39", "duration": 713, "translated_title": "GMAT: Math 39", "translated_description_html": "195-197, pgs. 178-179", "id": "25143", "description_html": "195-197, pgs. 178-179", "title": "GMAT: Math 39", "progress_key": "v25143", "edit_slug": "edit/v/25143", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "195-197, pgs. 178-179", "extra_properties": null, "node_slug": "v/gmat-math-39", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1bj7FPzUiWc.mp4/1bj7FPzUiWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1bj7FPzUiWc.mp4/1bj7FPzUiWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1bj7FPzUiWc.m3u8/1bj7FPzUiWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1bj7FPzUiWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25143", "sha": "082aa514ecebd90c6361dbef41cf70f0bf580ae9", "translated_description": "195-197, pgs. 178-179", "image_url": "https://img.youtube.com/vi/1bj7FPzUiWc/hqdefault.jpg", "youtube_id": "1bj7FPzUiWc", "content_kind": "Video", "readable_id": "gmat-math-39"}, {"translated_youtube_id": "oug9h9-komI", "relative_url": "/video/gmat-math-40", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-40", "duration": 699, "translated_title": "GMAT: Math 40", "translated_description_html": "198-200, pg. 179", "id": "25145", "description_html": "198-200, pg. 179", "title": "GMAT: Math 40", "progress_key": "v25145", "edit_slug": "edit/v/25145", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "198-200, pg. 179", "extra_properties": null, "node_slug": "v/gmat-math-40", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.m3u8/oug9h9-komI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oug9h9-komI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25145", "sha": "93c1fa8e4fe3d1ff24a23301cefb647c24e94052", "translated_description": "198-200, pg. 179", "image_url": "https://img.youtube.com/vi/oug9h9-komI/hqdefault.jpg", "youtube_id": "oug9h9-komI", "content_kind": "Video", "readable_id": "gmat-math-40"}, {"translated_youtube_id": "4WOjZ9lQdHE", "relative_url": "/video/gmat-math-41", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-41", "duration": 758, "translated_title": "GMAT: Math 41", "translated_description_html": "201-204, pgs. 179-180", "id": "25147", "description_html": "201-204, pgs. 179-180", "title": "GMAT: Math 41", "progress_key": "v25147", "edit_slug": "edit/v/25147", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "201-204, pgs. 179-180", "extra_properties": null, "node_slug": "v/gmat-math-41", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4WOjZ9lQdHE.mp4/4WOjZ9lQdHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4WOjZ9lQdHE.mp4/4WOjZ9lQdHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4WOjZ9lQdHE.m3u8/4WOjZ9lQdHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4WOjZ9lQdHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25147", "sha": "de198bd38c9fbc3dce8b24301f22182532492b38", "translated_description": "201-204, pgs. 179-180", "image_url": "https://img.youtube.com/vi/4WOjZ9lQdHE/hqdefault.jpg", "youtube_id": "4WOjZ9lQdHE", "content_kind": "Video", "readable_id": "gmat-math-41"}, {"translated_youtube_id": "q0AkvTchhPI", "relative_url": "/video/gmat-math-42", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-42", "duration": 674, "translated_title": "GMAT: Math 42", "translated_description_html": "205-206, pg. 180", "id": "25149", "description_html": "205-206, pg. 180", "title": "GMAT: Math 42", "progress_key": "v25149", "edit_slug": "edit/v/25149", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "205-206, pg. 180", "extra_properties": null, "node_slug": "v/gmat-math-42", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q0AkvTchhPI.mp4/q0AkvTchhPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q0AkvTchhPI.mp4/q0AkvTchhPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q0AkvTchhPI.m3u8/q0AkvTchhPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q0AkvTchhPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25149", "sha": "df92a670053d29627815779a52f43ba8b5677b90", "translated_description": "205-206, pg. 180", "image_url": "https://img.youtube.com/vi/q0AkvTchhPI/hqdefault.jpg", "youtube_id": "q0AkvTchhPI", "content_kind": "Video", "readable_id": "gmat-math-42"}, {"translated_youtube_id": "xvyQP-oezXc", "relative_url": "/video/gmat-math-43", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-43", "duration": 624, "translated_title": "GMAT: Math 43", "translated_description_html": "207-209, pgs. 180-181", "id": "25151", "description_html": "207-209, pgs. 180-181", "title": "GMAT: Math 43", "progress_key": "v25151", "edit_slug": "edit/v/25151", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "207-209, pgs. 180-181", "extra_properties": null, "node_slug": "v/gmat-math-43", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xvyQP-oezXc.mp4/xvyQP-oezXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xvyQP-oezXc.mp4/xvyQP-oezXc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xvyQP-oezXc.m3u8/xvyQP-oezXc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xvyQP-oezXc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25151", "sha": "f1a2ccc5636e959ea87d87837f30957d1999659f", "translated_description": "207-209, pgs. 180-181", "image_url": "https://img.youtube.com/vi/xvyQP-oezXc/hqdefault.jpg", "youtube_id": "xvyQP-oezXc", "content_kind": "Video", "readable_id": "gmat-math-43"}, {"translated_youtube_id": "IDkhHTjlg0M", "relative_url": "/video/gmat-math-44", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-44", "duration": 599, "translated_title": "GMAT: Math 44", "translated_description_html": "210-213, pg. 181", "id": "25153", "description_html": "210-213, pg. 181", "title": "GMAT: Math 44", "progress_key": "v25153", "edit_slug": "edit/v/25153", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "210-213, pg. 181", "extra_properties": null, "node_slug": "v/gmat-math-44", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IDkhHTjlg0M.mp4/IDkhHTjlg0M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IDkhHTjlg0M.mp4/IDkhHTjlg0M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IDkhHTjlg0M.m3u8/IDkhHTjlg0M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IDkhHTjlg0M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25153", "sha": "6f4a15ae834d15de27ca7d267808690422066d1c", "translated_description": "210-213, pg. 181", "image_url": "https://img.youtube.com/vi/IDkhHTjlg0M/hqdefault.jpg", "youtube_id": "IDkhHTjlg0M", "content_kind": "Video", "readable_id": "gmat-math-44"}, {"translated_youtube_id": "o0azgDKAFNI", "relative_url": "/video/gmat-math-45", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-45", "duration": 650, "translated_title": "GMAT: Math 45", "translated_description_html": "214-216, pg. 181", "id": "25155", "description_html": "214-216, pg. 181", "title": "GMAT: Math 45", "progress_key": "v25155", "edit_slug": "edit/v/25155", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "214-216, pg. 181", "extra_properties": null, "node_slug": "v/gmat-math-45", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o0azgDKAFNI.mp4/o0azgDKAFNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o0azgDKAFNI.mp4/o0azgDKAFNI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o0azgDKAFNI.m3u8/o0azgDKAFNI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o0azgDKAFNI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25155", "sha": "cbabd43c71bb288af55bb65480a271f57ac2fae9", "translated_description": "214-216, pg. 181", "image_url": "https://img.youtube.com/vi/o0azgDKAFNI/hqdefault.jpg", "youtube_id": "o0azgDKAFNI", "content_kind": "Video", "readable_id": "gmat-math-45"}, {"translated_youtube_id": "rLI88bU7Fuo", "relative_url": "/video/gmat-math-46", "has_questions": false, "keywords": "gmat, math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-46", "duration": 594, "translated_title": "GMAT: Math 46", "translated_description_html": "217-220, pg. 182", "id": "25157", "description_html": "217-220, pg. 182", "title": "GMAT: Math 46", "progress_key": "v25157", "edit_slug": "edit/v/25157", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "217-220, pg. 182", "extra_properties": null, "node_slug": "v/gmat-math-46", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rLI88bU7Fuo.mp4/rLI88bU7Fuo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rLI88bU7Fuo.mp4/rLI88bU7Fuo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rLI88bU7Fuo.m3u8/rLI88bU7Fuo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rLI88bU7Fuo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25157", "sha": "a04ce0b9117472b8129a2a43f0cd6fa225ccc604", "translated_description": "217-220, pg. 182", "image_url": "https://img.youtube.com/vi/rLI88bU7Fuo/hqdefault.jpg", "youtube_id": "rLI88bU7Fuo", "content_kind": "Video", "readable_id": "gmat-math-46"}, {"translated_youtube_id": "iwamZ7r2tTE", "relative_url": "/video/gmat-math-47", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-47", "duration": 682, "translated_title": "GMAT: Math 47", "translated_description_html": "221-225, pgs. 182-183", "id": "25159", "description_html": "221-225, pgs. 182-183", "title": "GMAT: Math 47", "progress_key": "v25159", "edit_slug": "edit/v/25159", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "221-225, pgs. 182-183", "extra_properties": null, "node_slug": "v/gmat-math-47", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iwamZ7r2tTE.mp4/iwamZ7r2tTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iwamZ7r2tTE.mp4/iwamZ7r2tTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iwamZ7r2tTE.m3u8/iwamZ7r2tTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iwamZ7r2tTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25159", "sha": "a33b5be6a52a510199b1f1e68f9942c37f48c218", "translated_description": "221-225, pgs. 182-183", "image_url": "https://img.youtube.com/vi/iwamZ7r2tTE/hqdefault.jpg", "youtube_id": "iwamZ7r2tTE", "content_kind": "Video", "readable_id": "gmat-math-47"}, {"translated_youtube_id": "nZ90fsoVvmc", "relative_url": "/video/gmat-math-48", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-48", "duration": 296, "translated_title": "GMAT: Math 48", "translated_description_html": "226, pg. 183", "id": "25161", "description_html": "226, pg. 183", "title": "GMAT: Math 48", "progress_key": "v25161", "edit_slug": "edit/v/25161", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "226, pg. 183", "extra_properties": null, "node_slug": "v/gmat-math-48", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:44:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nZ90fsoVvmc.mp4/nZ90fsoVvmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nZ90fsoVvmc.mp4/nZ90fsoVvmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nZ90fsoVvmc.m3u8/nZ90fsoVvmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nZ90fsoVvmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25161", "sha": "38b675b6687d70f3f19793ecd77726d79edbdc61", "translated_description": "226, pg. 183", "image_url": "https://img.youtube.com/vi/nZ90fsoVvmc/hqdefault.jpg", "youtube_id": "nZ90fsoVvmc", "content_kind": "Video", "readable_id": "gmat-math-48"}, {"translated_youtube_id": "1-9n4Upditg", "relative_url": "/video/gmat-math-49", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-49", "duration": 602, "translated_title": "GMAT: Math 49", "translated_description_html": "227-231, pgs. 183-184", "id": "25163", "description_html": "227-231, pgs. 183-184", "title": "GMAT: Math 49", "progress_key": "v25163", "edit_slug": "edit/v/25163", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "227-231, pgs. 183-184", "extra_properties": null, "node_slug": "v/gmat-math-49", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1-9n4Upditg.mp4/1-9n4Upditg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1-9n4Upditg.mp4/1-9n4Upditg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1-9n4Upditg.m3u8/1-9n4Upditg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1-9n4Upditg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25163", "sha": "3cab155ee6ef4a1de3912855e5acdf66073c4a4d", "translated_description": "227-231, pgs. 183-184", "image_url": "https://img.youtube.com/vi/1-9n4Upditg/hqdefault.jpg", "youtube_id": "1-9n4Upditg", "content_kind": "Video", "readable_id": "gmat-math-49"}, {"translated_youtube_id": "OvRAIlok3fA", "relative_url": "/video/gmat-math-50", "has_questions": false, "keywords": "GMAT, Math", "ka_url": "http://www.khanacademy.org/video/gmat-math-50", "duration": 676, "translated_title": "GMAT: Math 50", "translated_description_html": "232-236, pgs. 184-185", "id": "25165", "description_html": "232-236, pgs. 184-185", "title": "GMAT: Math 50", "progress_key": "v25165", "edit_slug": "edit/v/25165", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "232-236, pgs. 184-185", "extra_properties": null, "node_slug": "v/gmat-math-50", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:44:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OvRAIlok3fA.mp4/OvRAIlok3fA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OvRAIlok3fA.mp4/OvRAIlok3fA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OvRAIlok3fA.m3u8/OvRAIlok3fA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OvRAIlok3fA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25165", "sha": "3878e46cdacce3363c1a6f3ac739a1f537a1f835", "translated_description": "232-236, pgs. 184-185", "image_url": "https://img.youtube.com/vi/OvRAIlok3fA/hqdefault.jpg", "youtube_id": "OvRAIlok3fA", "content_kind": "Video", "readable_id": "gmat-math-50"}, {"translated_youtube_id": "AwKTZK8gqZI", "relative_url": "/video/gmat-math-51", "has_questions": false, "keywords": "GMAT, Math", "ka_url": "http://www.khanacademy.org/video/gmat-math-51", "duration": 695, "translated_title": "GMAT: Math 51", "translated_description_html": "237-239, pg. 185", "id": "25167", "description_html": "237-239, pg. 185", "title": "GMAT: Math 51", "progress_key": "v25167", "edit_slug": "edit/v/25167", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "237-239, pg. 185", "extra_properties": null, "node_slug": "v/gmat-math-51", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:45:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AwKTZK8gqZI.mp4/AwKTZK8gqZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AwKTZK8gqZI.mp4/AwKTZK8gqZI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AwKTZK8gqZI.m3u8/AwKTZK8gqZI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AwKTZK8gqZI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25167", "sha": "7c48334b24cef6a6010ac9cfbf88194ac3b25034", "translated_description": "237-239, pg. 185", "image_url": "https://img.youtube.com/vi/AwKTZK8gqZI/hqdefault.jpg", "youtube_id": "AwKTZK8gqZI", "content_kind": "Video", "readable_id": "gmat-math-51"}, {"translated_youtube_id": "tixLZtDnbTg", "relative_url": "/video/gmat-math-52", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-52", "duration": 710, "translated_title": "GMAT: Math 52", "translated_description_html": "240-244, pgs. 185-186", "id": "25169", "description_html": "240-244, pgs. 185-186", "title": "GMAT: Math 52", "progress_key": "v25169", "edit_slug": "edit/v/25169", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "240-244, pgs. 185-186", "extra_properties": null, "node_slug": "v/gmat-math-52", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:45:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tixLZtDnbTg.mp4/tixLZtDnbTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tixLZtDnbTg.mp4/tixLZtDnbTg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tixLZtDnbTg.m3u8/tixLZtDnbTg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tixLZtDnbTg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25169", "sha": "8fe3866cac82147dded734201b0cc6c97f68b0e8", "translated_description": "240-244, pgs. 185-186", "image_url": "https://img.youtube.com/vi/tixLZtDnbTg/hqdefault.jpg", "youtube_id": "tixLZtDnbTg", "content_kind": "Video", "readable_id": "gmat-math-52"}, {"translated_youtube_id": "cY-iPEtvJAE", "relative_url": "/video/gmat-math-53", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-53", "duration": 537, "translated_title": "GMAT: Math 53", "translated_description_html": "245-247, pg. 186", "id": "25171", "description_html": "245-247, pg. 186", "title": "GMAT: Math 53", "progress_key": "v25171", "edit_slug": "edit/v/25171", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "245-247, pg. 186", "extra_properties": null, "node_slug": "v/gmat-math-53", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:45:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cY-iPEtvJAE.mp4/cY-iPEtvJAE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cY-iPEtvJAE.mp4/cY-iPEtvJAE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cY-iPEtvJAE.m3u8/cY-iPEtvJAE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cY-iPEtvJAE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25171", "sha": "38fdcf92ca0130b3a8ab7eee7446884a02b70ad6", "translated_description": "245-247, pg. 186", "image_url": "https://img.youtube.com/vi/cY-iPEtvJAE/hqdefault.jpg", "youtube_id": "cY-iPEtvJAE", "content_kind": "Video", "readable_id": "gmat-math-53"}, {"translated_youtube_id": "EiZJzWPTm0I", "relative_url": "/video/gmat-math-54", "has_questions": false, "keywords": "GMAT, Math, problem, solving", "ka_url": "http://www.khanacademy.org/video/gmat-math-54", "duration": 512, "translated_title": "GMAT: Math 54", "translated_description_html": "248-249, pg. 186", "id": "25173", "description_html": "248-249, pg. 186", "title": "GMAT: Math 54", "progress_key": "v25173", "edit_slug": "edit/v/25173", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "248-249, pg. 186", "extra_properties": null, "node_slug": "v/gmat-math-54", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EiZJzWPTm0I.mp4/EiZJzWPTm0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EiZJzWPTm0I.mp4/EiZJzWPTm0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EiZJzWPTm0I.m3u8/EiZJzWPTm0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EiZJzWPTm0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25173", "sha": "94b8515696729abbfd7d9b1c89b6a60482d36a6b", "translated_description": "248-249, pg. 186", "image_url": "https://img.youtube.com/vi/EiZJzWPTm0I/hqdefault.jpg", "youtube_id": "EiZJzWPTm0I", "content_kind": "Video", "readable_id": "gmat-math-54"}], "twitter_url": "", "translated_description": "Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", "x_pos": 0.0, "node_slug": "problem-solving", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax75c53e99", "topic_page_url": "/math/test-prep/gmat/problem-solving", "extended_slug": "math/test-prep/gmat/problem-solving", "slug": "problem-solving", "tags": ["GMAT", "math", "problem", "solving"], "kind": "Topic", "in_topic_browser": false, "sha": "71b8e800d954265d44620a67b28e01860723465c", "standalone_title": "GMAT: Problem Solving", "y_pos": 0.0, "current_revision_key": "71b8e800d954265d44620a67b28e01860723465c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/gmat/data-sufficiency", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/gmat/data-sufficiency", "translated_standalone_title": "GMAT Data Sufficiency", "translated_title": "Data sufficiency", "gplus_url": "", "id": "x2f623f20", "old_key_name": "m0pJ5zLhRDFrvd4UgW3IY4JKXCSNx2gWg3dtFpll", "hide": false, "title": "Data sufficiency", "child_data": [{"kind": "Video", "id": 24983}, {"kind": "Video", "id": 24985}, {"kind": "Video", "id": 24987}, {"kind": "Video", "id": 24989}, {"kind": "Video", "id": 24991}, {"kind": "Video", "id": 24993}, {"kind": "Video", "id": 24995}, {"kind": "Video", "id": 24997}, {"kind": "Video", "id": 24999}, {"kind": "Video", "id": 25001}, {"kind": "Video", "id": 25003}, {"kind": "Video", "id": 25005}, {"kind": "Video", "id": 25007}, {"kind": "Video", "id": 25009}, {"kind": "Video", "id": 25011}, {"kind": "Video", "id": 25013}, {"kind": "Video", "id": 25015}, {"kind": "Video", "id": 25017}, {"kind": "Video", "id": 25019}, {"kind": "Video", "id": 25021}, {"kind": "Video", "id": 25023}, {"kind": "Video", "id": 25025}, {"kind": "Video", "id": 25027}, {"kind": "Video", "id": 25029}, {"kind": "Video", "id": 25031}, {"kind": "Video", "id": 25033}, {"kind": "Video", "id": 25035}, {"kind": "Video", "id": 25037}, {"kind": "Video", "id": 25039}, {"kind": "Video", "id": 25041}, {"kind": "Video", "id": 25043}, {"kind": "Video", "id": 25045}, {"kind": "Video", "id": 25047}, {"kind": "Video", "id": 25049}, {"kind": "Video", "id": 25051}, {"kind": "Video", "id": 25053}, {"kind": "Video", "id": 25055}, {"kind": "Video", "id": 25057}, {"kind": "Video", "id": 25059}, {"kind": "Video", "id": 25061}, {"kind": "Video", "id": 25063}, {"kind": "Video", "id": 25065}], "children": [{"translated_youtube_id": "GZInN7p1D0M", "relative_url": "/video/gmat--data-sufficiency-1", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-1", "duration": 635, "translated_title": "GMAT: Data sufficiency 1", "translated_description_html": "1-5, pg. 278", "id": "24983", "description_html": "1-5, pg. 278", "title": "GMAT: Data sufficiency 1", "progress_key": "v24983", "edit_slug": "edit/v/24983", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "1-5, pg. 278", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZInN7p1D0M.mp4/GZInN7p1D0M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZInN7p1D0M.mp4/GZInN7p1D0M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZInN7p1D0M.m3u8/GZInN7p1D0M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GZInN7p1D0M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24983", "sha": "a551af15413a0a7526add8f4f3c9c9b8ba1a6c54", "translated_description": "1-5, pg. 278", "image_url": "https://img.youtube.com/vi/GZInN7p1D0M/hqdefault.jpg", "youtube_id": "GZInN7p1D0M", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-1"}, {"translated_youtube_id": "8nod8JWaO1o", "relative_url": "/video/gmat--data-sufficiency--2", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency--2", "duration": 584, "translated_title": "GMAT: Data sufficiency 2", "translated_description_html": "6-9, pg. 278", "id": "24985", "description_html": "6-9, pg. 278", "title": "GMAT: Data sufficiency 2", "progress_key": "v24985", "edit_slug": "edit/v/24985", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "6-9, pg. 278", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency--2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8nod8JWaO1o.mp4/8nod8JWaO1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8nod8JWaO1o.mp4/8nod8JWaO1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8nod8JWaO1o.m3u8/8nod8JWaO1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8nod8JWaO1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24985", "sha": "2682f05cb3b42b330ab0feb9aa19cc1193a35014", "translated_description": "6-9, pg. 278", "image_url": "https://img.youtube.com/vi/8nod8JWaO1o/hqdefault.jpg", "youtube_id": "8nod8JWaO1o", "content_kind": "Video", "readable_id": "gmat--data-sufficiency--2"}, {"translated_youtube_id": "eg4r1ev0xYs", "relative_url": "/video/gmat--data-sufficiency-3", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-3", "duration": 747, "translated_title": "GMAT: Data sufficiency 3", "translated_description_html": "10-15, pgs. 278-279", "id": "24987", "description_html": "10-15, pgs. 278-279", "title": "GMAT: Data sufficiency 3", "progress_key": "v24987", "edit_slug": "edit/v/24987", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "10-15, pgs. 278-279", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eg4r1ev0xYs.mp4/eg4r1ev0xYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eg4r1ev0xYs.mp4/eg4r1ev0xYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eg4r1ev0xYs.m3u8/eg4r1ev0xYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eg4r1ev0xYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24987", "sha": "63928f041f1a1d15eaf7601dadaefed82adaaaee", "translated_description": "10-15, pgs. 278-279", "image_url": "https://img.youtube.com/vi/eg4r1ev0xYs/hqdefault.jpg", "youtube_id": "eg4r1ev0xYs", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-3"}, {"translated_youtube_id": "fMTLSOTAzWs", "relative_url": "/video/gmat--data-sufficiency-4", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-4", "duration": 624, "translated_title": "GMAT: Data sufficiency 4", "translated_description_html": "16-21, pg. 279", "id": "24989", "description_html": "16-21, pg. 279", "title": "GMAT: Data sufficiency 4", "progress_key": "v24989", "edit_slug": "edit/v/24989", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "16-21, pg. 279", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fMTLSOTAzWs.mp4/fMTLSOTAzWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fMTLSOTAzWs.mp4/fMTLSOTAzWs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fMTLSOTAzWs.m3u8/fMTLSOTAzWs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fMTLSOTAzWs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24989", "sha": "f0c300fa8fa3ab587b14e40f2b774e8ec99c6cfd", "translated_description": "16-21, pg. 279", "image_url": "https://img.youtube.com/vi/fMTLSOTAzWs/hqdefault.jpg", "youtube_id": "fMTLSOTAzWs", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-4"}, {"translated_youtube_id": "wIPriEEti6o", "relative_url": "/video/gmat--data-sufficiency-5", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-5", "duration": 784, "translated_title": "GMAT: Data sufficiency 5", "translated_description_html": "22-27, pg. 279", "id": "24991", "description_html": "22-27, pg. 279", "title": "GMAT: Data sufficiency 5", "progress_key": "v24991", "edit_slug": "edit/v/24991", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "22-27, pg. 279", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wIPriEEti6o.mp4/wIPriEEti6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wIPriEEti6o.mp4/wIPriEEti6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wIPriEEti6o.m3u8/wIPriEEti6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wIPriEEti6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24991", "sha": "a128c50a96f6dfa001edddfd948aedf4b1fadf2f", "translated_description": "22-27, pg. 279", "image_url": "https://img.youtube.com/vi/wIPriEEti6o/hqdefault.jpg", "youtube_id": "wIPriEEti6o", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-5"}, {"translated_youtube_id": "qHO1xH4ilZs", "relative_url": "/video/gmat--data-sufficiency-6", "has_questions": false, "keywords": "GMAT, math, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-6", "duration": 634, "translated_title": "GMAT: Data sufficiency 6", "translated_description_html": "28-32, pg. 280", "id": "24993", "description_html": "28-32, pg. 280", "title": "GMAT: Data sufficiency 6", "progress_key": "v24993", "edit_slug": "edit/v/24993", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "28-32, pg. 280", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qHO1xH4ilZs.mp4/qHO1xH4ilZs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qHO1xH4ilZs.mp4/qHO1xH4ilZs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qHO1xH4ilZs.m3u8/qHO1xH4ilZs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qHO1xH4ilZs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24993", "sha": "06deba4cee186763301d78583be3ff76e98121b5", "translated_description": "28-32, pg. 280", "image_url": "https://img.youtube.com/vi/qHO1xH4ilZs/hqdefault.jpg", "youtube_id": "qHO1xH4ilZs", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-6"}, {"translated_youtube_id": "21680hPTfUc", "relative_url": "/video/gmat--data-sufficiency-7", "has_questions": false, "keywords": "GMAT, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-7", "duration": 602, "translated_title": "GMAT: Data sufficiency 7", "translated_description_html": "33-36, pg. 280", "id": "24995", "description_html": "33-36, pg. 280", "title": "GMAT: Data sufficiency 7", "progress_key": "v24995", "edit_slug": "edit/v/24995", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "33-36, pg. 280", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/21680hPTfUc.mp4/21680hPTfUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/21680hPTfUc.mp4/21680hPTfUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/21680hPTfUc.m3u8/21680hPTfUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=21680hPTfUc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24995", "sha": "0272d6270b8f20c9ca92b46d969d0699b9a994a0", "translated_description": "33-36, pg. 280", "image_url": "https://img.youtube.com/vi/21680hPTfUc/hqdefault.jpg", "youtube_id": "21680hPTfUc", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-7"}, {"translated_youtube_id": "nL-NSia0HiA", "relative_url": "/video/gmat--data-sufficiency-8", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-8", "duration": 760, "translated_title": "GMAT: Data sufficiency 8", "translated_description_html": "37-41, pgs. 280-281", "id": "24997", "description_html": "37-41, pgs. 280-281", "title": "GMAT: Data sufficiency 8", "progress_key": "v24997", "edit_slug": "edit/v/24997", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "37-41, pgs. 280-281", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.m3u8/nL-NSia0HiA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nL-NSia0HiA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24997", "sha": "2754385e12ad361288073f960f5b6c4fa5a2b737", "translated_description": "37-41, pgs. 280-281", "image_url": "https://img.youtube.com/vi/nL-NSia0HiA/hqdefault.jpg", "youtube_id": "nL-NSia0HiA", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-8"}, {"translated_youtube_id": "GviCdNfeXw8", "relative_url": "/video/gmat--data-sufficiency-9", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-9", "duration": 603, "translated_title": "GMAT: Data sufficiency 9", "translated_description_html": "42-46, pg. 281", "id": "24999", "description_html": "42-46, pg. 281", "title": "GMAT: Data sufficiency 9", "progress_key": "v24999", "edit_slug": "edit/v/24999", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "42-46, pg. 281", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GviCdNfeXw8.mp4/GviCdNfeXw8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GviCdNfeXw8.mp4/GviCdNfeXw8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GviCdNfeXw8.m3u8/GviCdNfeXw8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GviCdNfeXw8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24999", "sha": "047a793addc4bdade45348e971732dc6719ffdc1", "translated_description": "42-46, pg. 281", "image_url": "https://img.youtube.com/vi/GviCdNfeXw8/hqdefault.jpg", "youtube_id": "GviCdNfeXw8", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-9"}, {"translated_youtube_id": "Sx_KqnkcJVA", "relative_url": "/video/gmat--data-sufficiency-10", "has_questions": false, "keywords": "GMAT, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-10", "duration": 618, "translated_title": "GMAT: Data sufficiency 10", "translated_description_html": "47-50, pg. 281", "id": "25001", "description_html": "47-50, pg. 281", "title": "GMAT: Data sufficiency 10", "progress_key": "v25001", "edit_slug": "edit/v/25001", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "47-50, pg. 281", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Sx_KqnkcJVA.mp4/Sx_KqnkcJVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Sx_KqnkcJVA.mp4/Sx_KqnkcJVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Sx_KqnkcJVA.m3u8/Sx_KqnkcJVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Sx_KqnkcJVA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25001", "sha": "19df93cb99d8740c5aeb652c7fe2856076ec5827", "translated_description": "47-50, pg. 281", "image_url": "https://img.youtube.com/vi/Sx_KqnkcJVA/hqdefault.jpg", "youtube_id": "Sx_KqnkcJVA", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-10"}, {"translated_youtube_id": "gpIJcqY0weE", "relative_url": "/video/gmat--data-sufficiency-11", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-11", "duration": 579, "translated_title": "GMAT: Data sufficiency 11", "translated_description_html": "51-54, pgs. 281-282", "id": "25003", "description_html": "51-54, pgs. 281-282", "title": "GMAT: Data sufficiency 11", "progress_key": "v25003", "edit_slug": "edit/v/25003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "51-54, pgs. 281-282", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-11", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gpIJcqY0weE.mp4/gpIJcqY0weE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gpIJcqY0weE.mp4/gpIJcqY0weE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gpIJcqY0weE.m3u8/gpIJcqY0weE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gpIJcqY0weE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25003", "sha": "c9995ed5ba62a86290dcdb94991480c3fb0d45a0", "translated_description": "51-54, pgs. 281-282", "image_url": "https://img.youtube.com/vi/gpIJcqY0weE/hqdefault.jpg", "youtube_id": "gpIJcqY0weE", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-11"}, {"translated_youtube_id": "dgZy7Uj8cAI", "relative_url": "/video/gmat--data-sufficiency-12", "has_questions": false, "keywords": "GMAT, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-12", "duration": 673, "translated_title": "GMAT: Data sufficiency 12", "translated_description_html": "55-58, pg. 282", "id": "25005", "description_html": "55-58, pg. 282", "title": "GMAT: Data sufficiency 12", "progress_key": "v25005", "edit_slug": "edit/v/25005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "55-58, pg. 282", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dgZy7Uj8cAI.mp4/dgZy7Uj8cAI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dgZy7Uj8cAI.mp4/dgZy7Uj8cAI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dgZy7Uj8cAI.m3u8/dgZy7Uj8cAI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dgZy7Uj8cAI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25005", "sha": "ed56a5015d6f0e2a72b237c24d4c10d2ed251dcc", "translated_description": "55-58, pg. 282", "image_url": "https://img.youtube.com/vi/dgZy7Uj8cAI/hqdefault.jpg", "youtube_id": "dgZy7Uj8cAI", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-12"}, {"translated_youtube_id": "qDsLxwmW_Ms", "relative_url": "/video/gmat--data-sufficiency-13", "has_questions": false, "keywords": "GMAT, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-13", "duration": 702, "translated_title": "GMAT: Data sufficiency 13", "translated_description_html": "59-62, pg. 282", "id": "25007", "description_html": "59-62, pg. 282", "title": "GMAT: Data sufficiency 13", "progress_key": "v25007", "edit_slug": "edit/v/25007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "59-62, pg. 282", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-13", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qDsLxwmW_Ms.mp4/qDsLxwmW_Ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qDsLxwmW_Ms.mp4/qDsLxwmW_Ms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qDsLxwmW_Ms.m3u8/qDsLxwmW_Ms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qDsLxwmW_Ms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25007", "sha": "b1f3be4800881aeeb720cfdf5a4c867a9c10fe30", "translated_description": "59-62, pg. 282", "image_url": "https://img.youtube.com/vi/qDsLxwmW_Ms/hqdefault.jpg", "youtube_id": "qDsLxwmW_Ms", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-13"}, {"translated_youtube_id": "iW3EP2FE5zc", "relative_url": "/video/gmat--data-sufficiency-14", "has_questions": false, "keywords": "GMAT, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-14", "duration": 712, "translated_title": "GMAT: Data sufficiency 14", "translated_description_html": "63-68, pgs. 282-283", "id": "25009", "description_html": "63-68, pgs. 282-283", "title": "GMAT: Data sufficiency 14", "progress_key": "v25009", "edit_slug": "edit/v/25009", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "63-68, pgs. 282-283", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-14", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iW3EP2FE5zc.mp4/iW3EP2FE5zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iW3EP2FE5zc.mp4/iW3EP2FE5zc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iW3EP2FE5zc.m3u8/iW3EP2FE5zc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iW3EP2FE5zc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25009", "sha": "04b18ccc14eaedd2232ee0595ad46bde375870d5", "translated_description": "63-68, pgs. 282-283", "image_url": "https://img.youtube.com/vi/iW3EP2FE5zc/hqdefault.jpg", "youtube_id": "iW3EP2FE5zc", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-14"}, {"translated_youtube_id": "ejIjaaocVvE", "relative_url": "/video/gmat--data-sufficiency--15", "has_questions": false, "keywords": "GMAT, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency--15", "duration": 663, "translated_title": "GMAT: Data sufficiency 15", "translated_description_html": "68-72, pg. 283", "id": "25011", "description_html": "68-72, pg. 283", "title": "GMAT: Data sufficiency 15", "progress_key": "v25011", "edit_slug": "edit/v/25011", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "68-72, pg. 283", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency--15", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ejIjaaocVvE.mp4/ejIjaaocVvE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ejIjaaocVvE.mp4/ejIjaaocVvE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ejIjaaocVvE.m3u8/ejIjaaocVvE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ejIjaaocVvE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25011", "sha": "a83f114f53620b6270e5c79c2d93c5416fd7b877", "translated_description": "68-72, pg. 283", "image_url": "https://img.youtube.com/vi/ejIjaaocVvE/hqdefault.jpg", "youtube_id": "ejIjaaocVvE", "content_kind": "Video", "readable_id": "gmat--data-sufficiency--15"}, {"translated_youtube_id": "3ia-sGkAVf8", "relative_url": "/video/gmat--data-sufficiency-16", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-16", "duration": 601, "translated_title": "GMAT: Data sufficiency 16", "translated_description_html": "73-76, pg. 284", "id": "25013", "description_html": "73-76, pg. 284", "title": "GMAT: Data sufficiency 16", "progress_key": "v25013", "edit_slug": "edit/v/25013", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "73-76, pg. 284", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-16", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ia-sGkAVf8.mp4/3ia-sGkAVf8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ia-sGkAVf8.mp4/3ia-sGkAVf8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ia-sGkAVf8.m3u8/3ia-sGkAVf8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ia-sGkAVf8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25013", "sha": "d70c6e91472dd73e0bfcffc84fc764b1f366d143", "translated_description": "73-76, pg. 284", "image_url": "https://img.youtube.com/vi/3ia-sGkAVf8/hqdefault.jpg", "youtube_id": "3ia-sGkAVf8", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-16"}, {"translated_youtube_id": "bcADF8WgLz4", "relative_url": "/video/gmat--data-sufficiency-17", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-17", "duration": 696, "translated_title": "GMAT: Data sufficiency 17", "translated_description_html": "77-79, pg. 284", "id": "25015", "description_html": "77-79, pg. 284", "title": "GMAT: Data sufficiency 17", "progress_key": "v25015", "edit_slug": "edit/v/25015", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "77-79, pg. 284", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-17", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bcADF8WgLz4.mp4/bcADF8WgLz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bcADF8WgLz4.mp4/bcADF8WgLz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bcADF8WgLz4.m3u8/bcADF8WgLz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bcADF8WgLz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25015", "sha": "c57f2db7a805cdea5cf3499c3359ef022069ca15", "translated_description": "77-79, pg. 284", "image_url": "https://img.youtube.com/vi/bcADF8WgLz4/hqdefault.jpg", "youtube_id": "bcADF8WgLz4", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-17"}, {"translated_youtube_id": "UR4Zr0hE-As", "relative_url": "/video/gmat--data-sufficiency-18", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-18", "duration": 665, "translated_title": "GMAT: Data sufficiency 18", "translated_description_html": "80-83, pg. 284", "id": "25017", "description_html": "80-83, pg. 284", "title": "GMAT: Data sufficiency 18", "progress_key": "v25017", "edit_slug": "edit/v/25017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "80-83, pg. 284", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-18", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UR4Zr0hE-As.mp4/UR4Zr0hE-As.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UR4Zr0hE-As.mp4/UR4Zr0hE-As.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UR4Zr0hE-As.m3u8/UR4Zr0hE-As.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UR4Zr0hE-As&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25017", "sha": "34292ff9f1cb33aaad7f03b53e6601164c6d9aef", "translated_description": "80-83, pg. 284", "image_url": "https://img.youtube.com/vi/UR4Zr0hE-As/hqdefault.jpg", "youtube_id": "UR4Zr0hE-As", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-18"}, {"translated_youtube_id": "C-qg2Lcy6Ts", "relative_url": "/video/gmat--data-sufficiency-19", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-19", "duration": 634, "translated_title": "GMAT: Data sufficiency 19", "translated_description_html": "84-86, pg. 285", "id": "25019", "description_html": "84-86, pg. 285", "title": "GMAT: Data sufficiency 19", "progress_key": "v25019", "edit_slug": "edit/v/25019", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "84-86, pg. 285", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-19", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.mp4/C-qg2Lcy6Ts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.mp4/C-qg2Lcy6Ts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.m3u8/C-qg2Lcy6Ts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C-qg2Lcy6Ts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25019", "sha": "b95c7a731df9801eb091f410f4cf408a0cbb2214", "translated_description": "84-86, pg. 285", "image_url": "https://img.youtube.com/vi/C-qg2Lcy6Ts/hqdefault.jpg", "youtube_id": "C-qg2Lcy6Ts", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-19"}, {"translated_youtube_id": "XFuFxgbnkaM", "relative_url": "/video/gmat--data-sufficiency-20", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-20", "duration": 712, "translated_title": "GMAT: Data sufficiency 20", "translated_description_html": "87-90, pg. 285", "id": "25021", "description_html": "87-90, pg. 285", "title": "GMAT: Data sufficiency 20", "progress_key": "v25021", "edit_slug": "edit/v/25021", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "87-90, pg. 285", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-20", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XFuFxgbnkaM.mp4/XFuFxgbnkaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XFuFxgbnkaM.mp4/XFuFxgbnkaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XFuFxgbnkaM.m3u8/XFuFxgbnkaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XFuFxgbnkaM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25021", "sha": "30a0693ef8ee46fd96eaaa136d8769cbee6b69cb", "translated_description": "87-90, pg. 285", "image_url": "https://img.youtube.com/vi/XFuFxgbnkaM/hqdefault.jpg", "youtube_id": "XFuFxgbnkaM", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-20"}, {"translated_youtube_id": "V7vCaxe3Rys", "relative_url": "/video/gmat--data-sufficiency-21", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-21", "duration": 725, "translated_title": "GMAT: Data sufficiency 21", "translated_description_html": "91-94, pgs. 285-286", "id": "25023", "description_html": "91-94, pgs. 285-286", "title": "GMAT: Data sufficiency 21", "progress_key": "v25023", "edit_slug": "edit/v/25023", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "91-94, pgs. 285-286", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-21", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V7vCaxe3Rys.mp4/V7vCaxe3Rys.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V7vCaxe3Rys.mp4/V7vCaxe3Rys.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V7vCaxe3Rys.m3u8/V7vCaxe3Rys.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V7vCaxe3Rys&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25023", "sha": "61b4d4880343a39087cb70ac17554ced88564b10", "translated_description": "91-94, pgs. 285-286", "image_url": "https://img.youtube.com/vi/V7vCaxe3Rys/hqdefault.jpg", "youtube_id": "V7vCaxe3Rys", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-21"}, {"translated_youtube_id": "Lq-zp5_OgSY", "relative_url": "/video/gmat-data-sufficiency-21--correction", "has_questions": false, "keywords": "gmat, math, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat-data-sufficiency-21--correction", "duration": 200, "translated_title": "GMAT: Data sufficiency 21 (correction)", "translated_description_html": "94, pg. 286", "id": "25025", "description_html": "94, pg. 286", "title": "GMAT: Data sufficiency 21 (correction)", "progress_key": "v25025", "edit_slug": "edit/v/25025", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "94, pg. 286", "extra_properties": null, "node_slug": "v/gmat-data-sufficiency-21--correction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lq-zp5_OgSY.mp4/Lq-zp5_OgSY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lq-zp5_OgSY.mp4/Lq-zp5_OgSY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lq-zp5_OgSY.m3u8/Lq-zp5_OgSY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lq-zp5_OgSY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25025", "sha": "30146bf0036b4cc6aa62d43798669731dceb6515", "translated_description": "94, pg. 286", "image_url": "https://img.youtube.com/vi/Lq-zp5_OgSY/hqdefault.jpg", "youtube_id": "Lq-zp5_OgSY", "content_kind": "Video", "readable_id": "gmat-data-sufficiency-21--correction"}, {"translated_youtube_id": "CdF-6PJ2jTM", "relative_url": "/video/gmat--data-sufficiency-22", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-22", "duration": 685, "translated_title": "GMAT: Data sufficiency 22", "translated_description_html": "95-98, pg. 286", "id": "25027", "description_html": "95-98, pg. 286", "title": "GMAT: Data sufficiency 22", "progress_key": "v25027", "edit_slug": "edit/v/25027", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "95-98, pg. 286", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-22", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CdF-6PJ2jTM.mp4/CdF-6PJ2jTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CdF-6PJ2jTM.mp4/CdF-6PJ2jTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CdF-6PJ2jTM.m3u8/CdF-6PJ2jTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CdF-6PJ2jTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25027", "sha": "b70b4af903b8945de649cadcb56799d759d15715", "translated_description": "95-98, pg. 286", "image_url": "https://img.youtube.com/vi/CdF-6PJ2jTM/hqdefault.jpg", "youtube_id": "CdF-6PJ2jTM", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-22"}, {"translated_youtube_id": "QOtyTZGWOmg", "relative_url": "/video/gmat--data-sufficiency-23", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-23", "duration": 630, "translated_title": "GMAT: Data sufficiency 23", "translated_description_html": "99-102, pg. 286", "id": "25029", "description_html": "99-102, pg. 286", "title": "GMAT: Data sufficiency 23", "progress_key": "v25029", "edit_slug": "edit/v/25029", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "99-102, pg. 286", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-23", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOtyTZGWOmg.mp4/QOtyTZGWOmg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOtyTZGWOmg.mp4/QOtyTZGWOmg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QOtyTZGWOmg.m3u8/QOtyTZGWOmg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QOtyTZGWOmg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25029", "sha": "428be1710269107a9e2e9d1bf45b72ab6b7f1b5e", "translated_description": "99-102, pg. 286", "image_url": "https://img.youtube.com/vi/QOtyTZGWOmg/hqdefault.jpg", "youtube_id": "QOtyTZGWOmg", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-23"}, {"translated_youtube_id": "NrIf451oN30", "relative_url": "/video/gmat--data-sufficiency-24", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-24", "duration": 665, "translated_title": "GMAT: Data sufficiency 24", "translated_description_html": "103-106, pg. 287", "id": "25031", "description_html": "103-106, pg. 287", "title": "GMAT: Data sufficiency 24", "progress_key": "v25031", "edit_slug": "edit/v/25031", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "103-106, pg. 287", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-24", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NrIf451oN30.mp4/NrIf451oN30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NrIf451oN30.mp4/NrIf451oN30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NrIf451oN30.m3u8/NrIf451oN30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NrIf451oN30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25031", "sha": "9b57c8aa2a4510f76929cbceadaa35325541e005", "translated_description": "103-106, pg. 287", "image_url": "https://img.youtube.com/vi/NrIf451oN30/hqdefault.jpg", "youtube_id": "NrIf451oN30", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-24"}, {"translated_youtube_id": "kYWBbu-FXV0", "relative_url": "/video/gmat--data-sufficiency-25", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-25", "duration": 640, "translated_title": "GMAT: Data sufficiency 25", "translated_description_html": "107-109, pg. 287", "id": "25033", "description_html": "107-109, pg. 287", "title": "GMAT: Data sufficiency 25", "progress_key": "v25033", "edit_slug": "edit/v/25033", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "107-109, pg. 287", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-25", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kYWBbu-FXV0.mp4/kYWBbu-FXV0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kYWBbu-FXV0.mp4/kYWBbu-FXV0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kYWBbu-FXV0.m3u8/kYWBbu-FXV0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kYWBbu-FXV0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25033", "sha": "31c0cec0df83ebc70d13b895ea598adf4a57718d", "translated_description": "107-109, pg. 287", "image_url": "https://img.youtube.com/vi/kYWBbu-FXV0/hqdefault.jpg", "youtube_id": "kYWBbu-FXV0", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-25"}, {"translated_youtube_id": "Lhop0mfeJMQ", "relative_url": "/video/gmat--data-sufficiency-26", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-26", "duration": 678, "translated_title": "GMAT: Data sufficiency 26", "translated_description_html": "110-111, pg. 287", "id": "25035", "description_html": "110-111, pg. 287", "title": "GMAT: Data sufficiency 26", "progress_key": "v25035", "edit_slug": "edit/v/25035", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "110-111, pg. 287", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-26", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lhop0mfeJMQ.mp4/Lhop0mfeJMQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lhop0mfeJMQ.mp4/Lhop0mfeJMQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lhop0mfeJMQ.m3u8/Lhop0mfeJMQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lhop0mfeJMQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25035", "sha": "d75e5a6283cc2b29da88a9347550561d11eac5a4", "translated_description": "110-111, pg. 287", "image_url": "https://img.youtube.com/vi/Lhop0mfeJMQ/hqdefault.jpg", "youtube_id": "Lhop0mfeJMQ", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-26"}, {"translated_youtube_id": "OzTqWpAPnrw", "relative_url": "/video/gmat--data-sufficiency-27", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-27", "duration": 605, "translated_title": "GMAT: Data sufficiency 27", "translated_description_html": "112-115, pg. 287", "id": "25037", "description_html": "112-115, pg. 287", "title": "GMAT: Data sufficiency 27", "progress_key": "v25037", "edit_slug": "edit/v/25037", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "112-115, pg. 287", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-27", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OzTqWpAPnrw.mp4/OzTqWpAPnrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OzTqWpAPnrw.mp4/OzTqWpAPnrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OzTqWpAPnrw.m3u8/OzTqWpAPnrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OzTqWpAPnrw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25037", "sha": "4970c2925f333fa3420288bb1d64b9529a0d1d6f", "translated_description": "112-115, pg. 287", "image_url": "https://img.youtube.com/vi/OzTqWpAPnrw/hqdefault.jpg", "youtube_id": "OzTqWpAPnrw", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-27"}, {"translated_youtube_id": "vD1OROM3Lfo", "relative_url": "/video/gmat--data-sufficiency-28", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-28", "duration": 628, "translated_title": "GMAT: Data sufficiency 28", "translated_description_html": "116-118, pg. 288", "id": "25039", "description_html": "116-118, pg. 288", "title": "GMAT: Data sufficiency 28", "progress_key": "v25039", "edit_slug": "edit/v/25039", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "116-118, pg. 288", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-28", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vD1OROM3Lfo.mp4/vD1OROM3Lfo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vD1OROM3Lfo.mp4/vD1OROM3Lfo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vD1OROM3Lfo.m3u8/vD1OROM3Lfo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vD1OROM3Lfo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25039", "sha": "c486ce1072e6578d30b0ca1151f56df87f4d3ef2", "translated_description": "116-118, pg. 288", "image_url": "https://img.youtube.com/vi/vD1OROM3Lfo/hqdefault.jpg", "youtube_id": "vD1OROM3Lfo", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-28"}, {"translated_youtube_id": "BCEyKQQOl8E", "relative_url": "/video/gmat--data-sufficiency-29", "has_questions": false, "keywords": "gmat, data, sufficiency", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-29", "duration": 593, "translated_title": "GMAT: Data sufficiency 29", "translated_description_html": "119-120, pg. 288", "id": "25041", "description_html": "119-120, pg. 288", "title": "GMAT: Data sufficiency 29", "progress_key": "v25041", "edit_slug": "edit/v/25041", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "119-120, pg. 288", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-29", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BCEyKQQOl8E.mp4/BCEyKQQOl8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BCEyKQQOl8E.mp4/BCEyKQQOl8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BCEyKQQOl8E.m3u8/BCEyKQQOl8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BCEyKQQOl8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25041", "sha": "ae2450c8307acf3d8b805f22237f0743eba9cdec", "translated_description": "119-120, pg. 288", "image_url": "https://img.youtube.com/vi/BCEyKQQOl8E/hqdefault.jpg", "youtube_id": "BCEyKQQOl8E", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-29"}, {"translated_youtube_id": "o_eNoF1DnZs", "relative_url": "/video/gmat--data-sufficiency-30", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-30", "duration": 737, "translated_title": "GMAT: Data sufficiency 30", "translated_description_html": "121-124, pg. 288", "id": "25043", "description_html": "121-124, pg. 288", "title": "GMAT: Data sufficiency 30", "progress_key": "v25043", "edit_slug": "edit/v/25043", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "121-124, pg. 288", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-30", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_eNoF1DnZs.mp4/o_eNoF1DnZs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_eNoF1DnZs.mp4/o_eNoF1DnZs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_eNoF1DnZs.m3u8/o_eNoF1DnZs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_eNoF1DnZs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25043", "sha": "f6b370bba896a5fd9f2c4ff4ad11d058b33acc25", "translated_description": "121-124, pg. 288", "image_url": "https://img.youtube.com/vi/o_eNoF1DnZs/hqdefault.jpg", "youtube_id": "o_eNoF1DnZs", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-30"}, {"translated_youtube_id": "5BEaqN92vDk", "relative_url": "/video/gmat--data-sufficiency-31", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-31", "duration": 589, "translated_title": "GMAT: Data sufficiency 31", "translated_description_html": "125-128, pg. 288", "id": "25045", "description_html": "125-128, pg. 288", "title": "GMAT: Data sufficiency 31", "progress_key": "v25045", "edit_slug": "edit/v/25045", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "125-128, pg. 288", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-31", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5BEaqN92vDk.mp4/5BEaqN92vDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5BEaqN92vDk.mp4/5BEaqN92vDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5BEaqN92vDk.m3u8/5BEaqN92vDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5BEaqN92vDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25045", "sha": "2ecd81b2269fe551df730dc5ad1befe536f00c6b", "translated_description": "125-128, pg. 288", "image_url": "https://img.youtube.com/vi/5BEaqN92vDk/hqdefault.jpg", "youtube_id": "5BEaqN92vDk", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-31"}, {"translated_youtube_id": "qVPtT8CX1eM", "relative_url": "/video/gmat--data-sufficiency-32", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-32", "duration": 646, "translated_title": "GMAT: Data sufficiency 32", "translated_description_html": "129-131, pg. 289", "id": "25047", "description_html": "129-131, pg. 289", "title": "GMAT: Data sufficiency 32", "progress_key": "v25047", "edit_slug": "edit/v/25047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "129-131, pg. 289", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-32", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qVPtT8CX1eM.mp4/qVPtT8CX1eM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qVPtT8CX1eM.mp4/qVPtT8CX1eM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qVPtT8CX1eM.m3u8/qVPtT8CX1eM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qVPtT8CX1eM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25047", "sha": "4d1b5119f7e4c57c83a02cbef5919017dd7891f4", "translated_description": "129-131, pg. 289", "image_url": "https://img.youtube.com/vi/qVPtT8CX1eM/hqdefault.jpg", "youtube_id": "qVPtT8CX1eM", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-32"}, {"translated_youtube_id": "-uZt8MLeDrg", "relative_url": "/video/gmat--data-sufficiency-33", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-33", "duration": 654, "translated_title": "GMAT: Data sufficiency 33", "translated_description_html": "132-134, pg. 289", "id": "25049", "description_html": "132-134, pg. 289", "title": "GMAT: Data sufficiency 33", "progress_key": "v25049", "edit_slug": "edit/v/25049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "132-134, pg. 289", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-33", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-uZt8MLeDrg.mp4/-uZt8MLeDrg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-uZt8MLeDrg.mp4/-uZt8MLeDrg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-uZt8MLeDrg.m3u8/-uZt8MLeDrg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-uZt8MLeDrg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25049", "sha": "d0724581b8f06a7317bf060daab824acf5f56c9f", "translated_description": "132-134, pg. 289", "image_url": "https://img.youtube.com/vi/-uZt8MLeDrg/hqdefault.jpg", "youtube_id": "-uZt8MLeDrg", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-33"}, {"translated_youtube_id": "K_uaUQY6MVQ", "relative_url": "/video/gmat--data-sufficiency-34", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-34", "duration": 585, "translated_title": "GMAT: Data sufficiency 34", "translated_description_html": "135-137, pg. 289", "id": "25051", "description_html": "135-137, pg. 289", "title": "GMAT: Data sufficiency 34", "progress_key": "v25051", "edit_slug": "edit/v/25051", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "135-137, pg. 289", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-34", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K_uaUQY6MVQ.mp4/K_uaUQY6MVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K_uaUQY6MVQ.mp4/K_uaUQY6MVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K_uaUQY6MVQ.m3u8/K_uaUQY6MVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K_uaUQY6MVQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25051", "sha": "0583489fc3eb33f173149909705ab9398e8d2a8e", "translated_description": "135-137, pg. 289", "image_url": "https://img.youtube.com/vi/K_uaUQY6MVQ/hqdefault.jpg", "youtube_id": "K_uaUQY6MVQ", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-34"}, {"translated_youtube_id": "XuDGJ-LUnAU", "relative_url": "/video/gmat--data-sufficiency-35", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-35", "duration": 571, "translated_title": "GMAT: Data sufficiency 35", "translated_description_html": "138-140, pg. 289", "id": "25053", "description_html": "138-140, pg. 289", "title": "GMAT: Data sufficiency 35", "progress_key": "v25053", "edit_slug": "edit/v/25053", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "138-140, pg. 289", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-35", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XuDGJ-LUnAU.mp4/XuDGJ-LUnAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XuDGJ-LUnAU.mp4/XuDGJ-LUnAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XuDGJ-LUnAU.m3u8/XuDGJ-LUnAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XuDGJ-LUnAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25053", "sha": "76317c21105b3a9e71bdce795f7cd8b34bcd10ba", "translated_description": "138-140, pg. 289", "image_url": "https://img.youtube.com/vi/XuDGJ-LUnAU/hqdefault.jpg", "youtube_id": "XuDGJ-LUnAU", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-35"}, {"translated_youtube_id": "LDyMYyiAsQs", "relative_url": "/video/gmat--data-sufficiency-36", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-36", "duration": 663, "translated_title": "GMAT: Data sufficiency 36", "translated_description_html": "141-142, pg. 289-290", "id": "25055", "description_html": "141-142, pg. 289-290", "title": "GMAT: Data sufficiency 36", "progress_key": "v25055", "edit_slug": "edit/v/25055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "141-142, pg. 289-290", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-36", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LDyMYyiAsQs.mp4/LDyMYyiAsQs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LDyMYyiAsQs.mp4/LDyMYyiAsQs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LDyMYyiAsQs.m3u8/LDyMYyiAsQs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LDyMYyiAsQs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25055", "sha": "2ea436d670e66bcc7e271e179ceaefe3bd8e8782", "translated_description": "141-142, pg. 289-290", "image_url": "https://img.youtube.com/vi/LDyMYyiAsQs/hqdefault.jpg", "youtube_id": "LDyMYyiAsQs", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-36"}, {"translated_youtube_id": "wPA2FrET_Ac", "relative_url": "/video/gmat--data-sufficiency-37", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-37", "duration": 706, "translated_title": "GMAT: Data sufficiency 37", "translated_description_html": "142-144, pg. 290", "id": "25057", "description_html": "142-144, pg. 290", "title": "GMAT: Data sufficiency 37", "progress_key": "v25057", "edit_slug": "edit/v/25057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "142-144, pg. 290", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-37", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wPA2FrET_Ac.mp4/wPA2FrET_Ac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wPA2FrET_Ac.mp4/wPA2FrET_Ac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wPA2FrET_Ac.m3u8/wPA2FrET_Ac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wPA2FrET_Ac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25057", "sha": "a297b8b106a6a8cc04ec324f60aa642f5b8633a8", "translated_description": "142-144, pg. 290", "image_url": "https://img.youtube.com/vi/wPA2FrET_Ac/hqdefault.jpg", "youtube_id": "wPA2FrET_Ac", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-37"}, {"translated_youtube_id": "n1MbK-Qb7Mk", "relative_url": "/video/gmat--data-sufficiency-38", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-38", "duration": 591, "translated_title": "GMAT: Data sufficiency 38", "translated_description_html": "145-147, pg. 290", "id": "25059", "description_html": "145-147, pg. 290", "title": "GMAT: Data sufficiency 38", "progress_key": "v25059", "edit_slug": "edit/v/25059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "145-147, pg. 290", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-38", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n1MbK-Qb7Mk.mp4/n1MbK-Qb7Mk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n1MbK-Qb7Mk.mp4/n1MbK-Qb7Mk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n1MbK-Qb7Mk.m3u8/n1MbK-Qb7Mk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n1MbK-Qb7Mk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25059", "sha": "b403768a3576fd6bb7ef132d67b45060a8441f2f", "translated_description": "145-147, pg. 290", "image_url": "https://img.youtube.com/vi/n1MbK-Qb7Mk/hqdefault.jpg", "youtube_id": "n1MbK-Qb7Mk", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-38"}, {"translated_youtube_id": "lqv9dXXjfWE", "relative_url": "/video/gmat--data-sufficiency-39", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat--data-sufficiency-39", "duration": 613, "translated_title": "GMAT: Data sufficiency 39", "translated_description_html": "148-150, pg. 290", "id": "25061", "description_html": "148-150, pg. 290", "title": "GMAT: Data sufficiency 39", "progress_key": "v25061", "edit_slug": "edit/v/25061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "148-150, pg. 290", "extra_properties": null, "node_slug": "v/gmat--data-sufficiency-39", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lqv9dXXjfWE.mp4/lqv9dXXjfWE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lqv9dXXjfWE.mp4/lqv9dXXjfWE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lqv9dXXjfWE.m3u8/lqv9dXXjfWE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lqv9dXXjfWE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25061", "sha": "3abed7ee8f7eb7b73f3f57726bb6e5fcec5810eb", "translated_description": "148-150, pg. 290", "image_url": "https://img.youtube.com/vi/lqv9dXXjfWE/hqdefault.jpg", "youtube_id": "lqv9dXXjfWE", "content_kind": "Video", "readable_id": "gmat--data-sufficiency-39"}, {"translated_youtube_id": "dmN_s286dHc", "relative_url": "/video/gmat-data-sufficiency-40", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat-data-sufficiency-40", "duration": 831, "translated_title": "GMAT: Data sufficiency 40", "translated_description_html": "151-153, pg. 290", "id": "25063", "description_html": "151-153, pg. 290", "title": "GMAT: Data sufficiency 40", "progress_key": "v25063", "edit_slug": "edit/v/25063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "151-153, pg. 290", "extra_properties": null, "node_slug": "v/gmat-data-sufficiency-40", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dmN_s286dHc.mp4/dmN_s286dHc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dmN_s286dHc.mp4/dmN_s286dHc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dmN_s286dHc.m3u8/dmN_s286dHc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dmN_s286dHc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25063", "sha": "63e104650ea8748c4d8c37765faf288e7437fda0", "translated_description": "151-153, pg. 290", "image_url": "https://img.youtube.com/vi/dmN_s286dHc/hqdefault.jpg", "youtube_id": "dmN_s286dHc", "content_kind": "Video", "readable_id": "gmat-data-sufficiency-40"}, {"translated_youtube_id": "cMjJSUsaWvc", "relative_url": "/video/gmat-data-sufficiency-41", "has_questions": false, "keywords": "gmat, data, sufficiency, math", "ka_url": "http://www.khanacademy.org/video/gmat-data-sufficiency-41", "duration": 490, "translated_title": "GMAT: Data sufficiency 41", "translated_description_html": "154-155, pg. 290", "id": "25065", "description_html": "154-155, pg. 290", "title": "GMAT: Data sufficiency 41", "progress_key": "v25065", "edit_slug": "edit/v/25065", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "154-155, pg. 290", "extra_properties": {"original_url": ""}, "node_slug": "v/gmat-data-sufficiency-41", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:43:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cMjJSUsaWvc.mp4/cMjJSUsaWvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cMjJSUsaWvc.mp4/cMjJSUsaWvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cMjJSUsaWvc.m3u8/cMjJSUsaWvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cMjJSUsaWvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25065", "sha": "3603b1b03e264514e04195ef54a63f94ec298417", "translated_description": "154-155, pg. 290", "image_url": "https://img.youtube.com/vi/cMjJSUsaWvc/hqdefault.jpg", "youtube_id": "cMjJSUsaWvc", "content_kind": "Video", "readable_id": "gmat-data-sufficiency-41"}], "twitter_url": "", "translated_description": "Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", "x_pos": 0.0, "node_slug": "data-sufficiency", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2f623f20", "topic_page_url": "/math/test-prep/gmat/data-sufficiency", "extended_slug": "math/test-prep/gmat/data-sufficiency", "slug": "data-sufficiency", "tags": ["gmat", "business", "school", "math", "data", "sufficiency"], "kind": "Topic", "in_topic_browser": false, "sha": "6bad05b176edfa18fb197f8396393906cfd255d2", "standalone_title": "GMAT Data Sufficiency", "y_pos": 0.0, "current_revision_key": "6bad05b176edfa18fb197f8396393906cfd255d2", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Sal works through problems in the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through problems in the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!", "x_pos": 0.0, "node_slug": "gmat", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa0e62ca2", "topic_page_url": "/math/test-prep/gmat", "extended_slug": "math/test-prep/gmat", "slug": "gmat", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "76346b487cdfe75bd607af6d63e9f040b57fd914", "standalone_title": "GMAT", "y_pos": 0.0, "current_revision_key": "76346b487cdfe75bd607af6d63e9f040b57fd914", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/cahsee", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/cahsee", "translated_standalone_title": "CAHSEE Example Problems", "translated_title": "CAHSEE", "gplus_url": "", "id": "x2e5e6cb0", "old_key_name": "INuFo1ydsoW2NTvmlbT_krYD705CmOyvUBADxn8d", "hide": false, "title": "CAHSEE", "child_data": [{"kind": "Video", "id": 24050}, {"kind": "Video", "id": 24052}, {"kind": "Video", "id": 24054}, {"kind": "Video", "id": 24056}, {"kind": "Video", "id": 24058}, {"kind": "Video", "id": 24060}, {"kind": "Video", "id": 24062}, {"kind": "Video", "id": 24064}, {"kind": "Video", "id": 24066}, {"kind": "Video", "id": 24068}, {"kind": "Video", "id": 24070}, {"kind": "Video", "id": 24072}, {"kind": "Video", "id": 24074}, {"kind": "Video", "id": 24076}, {"kind": "Video", "id": 24078}], "children": [{"translated_youtube_id": "_yv3BrPt-cs", "relative_url": "/video/cahsee-practice--problems-1-3", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-1-3", "duration": 326, "translated_title": "CAHSEE practice: Problems 1-3", "translated_description_html": "CAHSEE Practice: Problems 1-3", "id": "24050", "description_html": "CAHSEE Practice: Problems 1-3", "title": "CAHSEE practice: Problems 1-3", "progress_key": "v24050", "edit_slug": "edit/v/24050", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 1-3", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-1-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_yv3BrPt-cs.mp4/_yv3BrPt-cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_yv3BrPt-cs.mp4/_yv3BrPt-cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_yv3BrPt-cs.m3u8/_yv3BrPt-cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_yv3BrPt-cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24050", "sha": "feabc09184e8eabafb009772a09c92eb9e05cdad", "translated_description": "CAHSEE Practice: Problems 1-3", "image_url": "https://img.youtube.com/vi/_yv3BrPt-cs/hqdefault.jpg", "youtube_id": "_yv3BrPt-cs", "content_kind": "Video", "readable_id": "cahsee-practice--problems-1-3"}, {"translated_youtube_id": "i1CSuZdIu98", "relative_url": "/video/cahsee-practice--problems-4-9", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-4-9", "duration": 613, "translated_title": "CAHSEE practice: Problems 4-9", "translated_description_html": "CAHSEE Practice: Problems 4-9", "id": "24052", "description_html": "CAHSEE Practice: Problems 4-9", "title": "CAHSEE practice: Problems 4-9", "progress_key": "v24052", "edit_slug": "edit/v/24052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 4-9", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-4-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i1CSuZdIu98.mp4/i1CSuZdIu98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i1CSuZdIu98.mp4/i1CSuZdIu98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i1CSuZdIu98.m3u8/i1CSuZdIu98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i1CSuZdIu98&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24052", "sha": "e921d88a15568ba34826b9088974b04c4e2d10b7", "translated_description": "CAHSEE Practice: Problems 4-9", "image_url": "https://img.youtube.com/vi/i1CSuZdIu98/hqdefault.jpg", "youtube_id": "i1CSuZdIu98", "content_kind": "Video", "readable_id": "cahsee-practice--problems-4-9"}, {"translated_youtube_id": "4PIn_9cxefI", "relative_url": "/video/cahsee-practice--problems-10-12", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-10-12", "duration": 300, "translated_title": "CAHSEE practice: Problems 10-12", "translated_description_html": "CAHSEE Practice: Problems 10-12", "id": "24054", "description_html": "CAHSEE Practice: Problems 10-12", "title": "CAHSEE practice: Problems 10-12", "progress_key": "v24054", "edit_slug": "edit/v/24054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 10-12", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-10-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PIn_9cxefI.mp4/4PIn_9cxefI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PIn_9cxefI.mp4/4PIn_9cxefI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PIn_9cxefI.m3u8/4PIn_9cxefI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PIn_9cxefI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24054", "sha": "82c9f1a6c4ad959534036aaad464af9f19e85222", "translated_description": "CAHSEE Practice: Problems 10-12", "image_url": "https://img.youtube.com/vi/4PIn_9cxefI/hqdefault.jpg", "youtube_id": "4PIn_9cxefI", "content_kind": "Video", "readable_id": "cahsee-practice--problems-10-12"}, {"translated_youtube_id": "9xwAPXM0Flg", "relative_url": "/video/cahsee-practice--problems-13-14", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-13-14", "duration": 279, "translated_title": "CAHSEE practice: Problems 13-14", "translated_description_html": "CAHSEE Practice: Problems 13-14", "id": "24056", "description_html": "CAHSEE Practice: Problems 13-14", "title": "CAHSEE practice: Problems 13-14", "progress_key": "v24056", "edit_slug": "edit/v/24056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 13-14", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-13-14", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9xwAPXM0Flg.mp4/9xwAPXM0Flg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9xwAPXM0Flg.mp4/9xwAPXM0Flg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9xwAPXM0Flg.m3u8/9xwAPXM0Flg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9xwAPXM0Flg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24056", "sha": "cc43fe436759832f5f2fa93f89be0643bd2dde6e", "translated_description": "CAHSEE Practice: Problems 13-14", "image_url": "https://img.youtube.com/vi/9xwAPXM0Flg/hqdefault.jpg", "youtube_id": "9xwAPXM0Flg", "content_kind": "Video", "readable_id": "cahsee-practice--problems-13-14"}, {"translated_youtube_id": "MwdwuDy0rRs", "relative_url": "/video/cahsee-practice--problems-15-16", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-15-16", "duration": 255, "translated_title": "CAHSEE practice: Problems 15-16", "translated_description_html": "CAHSEE Practice: Problems 15-16", "id": "24058", "description_html": "CAHSEE Practice: Problems 15-16", "title": "CAHSEE practice: Problems 15-16", "progress_key": "v24058", "edit_slug": "edit/v/24058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 15-16", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-15-16", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MwdwuDy0rRs.mp4/MwdwuDy0rRs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MwdwuDy0rRs.mp4/MwdwuDy0rRs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MwdwuDy0rRs.m3u8/MwdwuDy0rRs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MwdwuDy0rRs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24058", "sha": "f80f8fbe44877460a2db4215718060920a8fc362", "translated_description": "CAHSEE Practice: Problems 15-16", "image_url": "https://img.youtube.com/vi/MwdwuDy0rRs/hqdefault.jpg", "youtube_id": "MwdwuDy0rRs", "content_kind": "Video", "readable_id": "cahsee-practice--problems-15-16"}, {"translated_youtube_id": "ah39bUxYDEg", "relative_url": "/video/cahsee-practice--problems-17-19", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-17-19", "duration": 343, "translated_title": "CAHSEE practice: Problems 17-19", "translated_description_html": "CAHSEE Practice: Problems 17-19", "id": "24060", "description_html": "CAHSEE Practice: Problems 17-19", "title": "CAHSEE practice: Problems 17-19", "progress_key": "v24060", "edit_slug": "edit/v/24060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 17-19", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-17-19", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.mp4/ah39bUxYDEg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.mp4/ah39bUxYDEg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.m3u8/ah39bUxYDEg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ah39bUxYDEg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24060", "sha": "acb08daf46a2ce091bc3662daa7ed464702ad39d", "translated_description": "CAHSEE Practice: Problems 17-19", "image_url": "https://img.youtube.com/vi/ah39bUxYDEg/hqdefault.jpg", "youtube_id": "ah39bUxYDEg", "content_kind": "Video", "readable_id": "cahsee-practice--problems-17-19"}, {"translated_youtube_id": "ceM2u6IABWU", "relative_url": "/video/cahsee-practice--problems-20-22", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-20-22", "duration": 224, "translated_title": "CAHSEE practice: Problems 20-22", "translated_description_html": "CAHSEE Practice: Problems 20-22", "id": "24062", "description_html": "CAHSEE Practice: Problems 20-22", "title": "CAHSEE practice: Problems 20-22", "progress_key": "v24062", "edit_slug": "edit/v/24062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 20-22", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-20-22", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ceM2u6IABWU.mp4/ceM2u6IABWU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ceM2u6IABWU.mp4/ceM2u6IABWU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ceM2u6IABWU.m3u8/ceM2u6IABWU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ceM2u6IABWU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24062", "sha": "21cf18632ef5c3d405d4819a8b959aef1afd121e", "translated_description": "CAHSEE Practice: Problems 20-22", "image_url": "https://img.youtube.com/vi/ceM2u6IABWU/hqdefault.jpg", "youtube_id": "ceM2u6IABWU", "content_kind": "Video", "readable_id": "cahsee-practice--problems-20-22"}, {"translated_youtube_id": "glumochcaw0", "relative_url": "/video/cahsee-practice--problems-23-27", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-23-27", "duration": 628, "translated_title": "CAHSEE practice: Problems 23-27", "translated_description_html": "CAHSEE Practice: Problems 23-27", "id": "24064", "description_html": "CAHSEE Practice: Problems 23-27", "title": "CAHSEE practice: Problems 23-27", "progress_key": "v24064", "edit_slug": "edit/v/24064", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 23-27", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-23-27", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/glumochcaw0.mp4/glumochcaw0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/glumochcaw0.mp4/glumochcaw0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/glumochcaw0.m3u8/glumochcaw0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=glumochcaw0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24064", "sha": "9eb021a4cddc752406d38c29901a76b8ece56b58", "translated_description": "CAHSEE Practice: Problems 23-27", "image_url": "https://img.youtube.com/vi/glumochcaw0/hqdefault.jpg", "youtube_id": "glumochcaw0", "content_kind": "Video", "readable_id": "cahsee-practice--problems-23-27"}, {"translated_youtube_id": "6Sy4E_8Psos", "relative_url": "/video/cahsee-practice--problems-28-31", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-28-31", "duration": 442, "translated_title": "CAHSEE practice: Problems 28-31", "translated_description_html": "CAHSEE Practice: Problems 28-31", "id": "24066", "description_html": "CAHSEE Practice: Problems 28-31", "title": "CAHSEE practice: Problems 28-31", "progress_key": "v24066", "edit_slug": "edit/v/24066", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 28-31", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-28-31", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Sy4E_8Psos.mp4/6Sy4E_8Psos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Sy4E_8Psos.mp4/6Sy4E_8Psos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Sy4E_8Psos.m3u8/6Sy4E_8Psos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Sy4E_8Psos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24066", "sha": "c5a8414e0778b449d185583838b81c4d10e8f75b", "translated_description": "CAHSEE Practice: Problems 28-31", "image_url": "https://img.youtube.com/vi/6Sy4E_8Psos/hqdefault.jpg", "youtube_id": "6Sy4E_8Psos", "content_kind": "Video", "readable_id": "cahsee-practice--problems-28-31"}, {"translated_youtube_id": "1k-jqxMuUaM", "relative_url": "/video/cahsee-practice--problems-32-34", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-32-34", "duration": 209, "translated_title": "CAHSEE practice: Problems 32-34", "translated_description_html": "CAHSEE Practice: Problems 32-34", "id": "24068", "description_html": "CAHSEE Practice: Problems 32-34", "title": "CAHSEE practice: Problems 32-34", "progress_key": "v24068", "edit_slug": "edit/v/24068", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 32-34", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-32-34", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1k-jqxMuUaM.mp4/1k-jqxMuUaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1k-jqxMuUaM.mp4/1k-jqxMuUaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1k-jqxMuUaM.m3u8/1k-jqxMuUaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1k-jqxMuUaM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24068", "sha": "dacf2873b7372faa79a881aa0e4387c26d4965a2", "translated_description": "CAHSEE Practice: Problems 32-34", "image_url": "https://img.youtube.com/vi/1k-jqxMuUaM/hqdefault.jpg", "youtube_id": "1k-jqxMuUaM", "content_kind": "Video", "readable_id": "cahsee-practice--problems-32-34"}, {"translated_youtube_id": "3A305Mhtkug", "relative_url": "/video/cahsee-practice--problems-35-37", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-35-37", "duration": 411, "translated_title": "CAHSEE practice: Problems 35-37", "translated_description_html": "CAHSEE Practice: Problems 35-37", "id": "24070", "description_html": "CAHSEE Practice: Problems 35-37", "title": "CAHSEE practice: Problems 35-37", "progress_key": "v24070", "edit_slug": "edit/v/24070", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 35-37", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-35-37", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3A305Mhtkug.mp4/3A305Mhtkug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3A305Mhtkug.mp4/3A305Mhtkug.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3A305Mhtkug.m3u8/3A305Mhtkug.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3A305Mhtkug&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24070", "sha": "77cef64eded5aa43c1403d3bc5dcaee97be49f40", "translated_description": "CAHSEE Practice: Problems 35-37", "image_url": "https://img.youtube.com/vi/3A305Mhtkug/hqdefault.jpg", "youtube_id": "3A305Mhtkug", "content_kind": "Video", "readable_id": "cahsee-practice--problems-35-37"}, {"translated_youtube_id": "_qB9JCpr8Co", "relative_url": "/video/cahsee-practice--problems-38-42", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-38-42", "duration": 389, "translated_title": "CAHSEE practice: Problems 38-42", "translated_description_html": "CAHSEE Practice: Problems 38-42", "id": "24072", "description_html": "CAHSEE Practice: Problems 38-42", "title": "CAHSEE practice: Problems 38-42", "progress_key": "v24072", "edit_slug": "edit/v/24072", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 38-42", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-38-42", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_qB9JCpr8Co.mp4/_qB9JCpr8Co.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_qB9JCpr8Co.mp4/_qB9JCpr8Co.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_qB9JCpr8Co.m3u8/_qB9JCpr8Co.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_qB9JCpr8Co&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24072", "sha": "46ae1c73b3b308f7a60617e660ce2d0b448b224a", "translated_description": "CAHSEE Practice: Problems 38-42", "image_url": "https://img.youtube.com/vi/_qB9JCpr8Co/hqdefault.jpg", "youtube_id": "_qB9JCpr8Co", "content_kind": "Video", "readable_id": "cahsee-practice--problems-38-42"}, {"translated_youtube_id": "_rof2ExUzOU", "relative_url": "/video/cahsee-practice--problems-43-46", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-43-46", "duration": 302, "translated_title": "CAHSEE practice: Problems 43-46", "translated_description_html": "CAHSEE Practice: Problems 43-46", "id": "24074", "description_html": "CAHSEE Practice: Problems 43-46", "title": "CAHSEE practice: Problems 43-46", "progress_key": "v24074", "edit_slug": "edit/v/24074", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 43-46", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-43-46", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_rof2ExUzOU.mp4/_rof2ExUzOU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_rof2ExUzOU.mp4/_rof2ExUzOU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_rof2ExUzOU.m3u8/_rof2ExUzOU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_rof2ExUzOU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24074", "sha": "032dcb10e8045b65f58fcd32eb9027acf935957a", "translated_description": "CAHSEE Practice: Problems 43-46", "image_url": "https://img.youtube.com/vi/_rof2ExUzOU/hqdefault.jpg", "youtube_id": "_rof2ExUzOU", "content_kind": "Video", "readable_id": "cahsee-practice--problems-43-46"}, {"translated_youtube_id": "ENg2ajvKYss", "relative_url": "/video/cahsee-practice--problems-47-51", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-47-51", "duration": 779, "translated_title": "CAHSEE practice: Problems 47-51", "translated_description_html": "CAHSEE Practice: Problems 47-51", "id": "24076", "description_html": "CAHSEE Practice: Problems 47-51", "title": "CAHSEE practice: Problems 47-51", "progress_key": "v24076", "edit_slug": "edit/v/24076", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 47-51", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-47-51", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ENg2ajvKYss.mp4/ENg2ajvKYss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ENg2ajvKYss.mp4/ENg2ajvKYss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ENg2ajvKYss.m3u8/ENg2ajvKYss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ENg2ajvKYss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24076", "sha": "30d94349e42d8a358502dd230735a8126f6017a4", "translated_description": "CAHSEE Practice: Problems 47-51", "image_url": "https://img.youtube.com/vi/ENg2ajvKYss/hqdefault.jpg", "youtube_id": "ENg2ajvKYss", "content_kind": "Video", "readable_id": "cahsee-practice--problems-47-51"}, {"translated_youtube_id": "FdD0Wu032R4", "relative_url": "/video/cahsee-practice--problems-52-53", "has_questions": false, "keywords": "CAHSEE, practice, california, high, school, exit, examination", "ka_url": "http://www.khanacademy.org/video/cahsee-practice--problems-52-53", "duration": 108, "translated_title": "CAHSEE practice: Problems 52-53", "translated_description_html": "CAHSEE Practice: Problems 52-53", "id": "24078", "description_html": "CAHSEE Practice: Problems 52-53", "title": "CAHSEE practice: Problems 52-53", "progress_key": "v24078", "edit_slug": "edit/v/24078", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CAHSEE Practice: Problems 52-53", "extra_properties": null, "node_slug": "v/cahsee-practice--problems-52-53", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:32:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FdD0Wu032R4.mp4/FdD0Wu032R4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FdD0Wu032R4.mp4/FdD0Wu032R4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FdD0Wu032R4.m3u8/FdD0Wu032R4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FdD0Wu032R4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24078", "sha": "0dcc360086b4432f65334770c4173fe355cdf50d", "translated_description": "CAHSEE Practice: Problems 52-53", "image_url": "https://img.youtube.com/vi/FdD0Wu032R4/hqdefault.jpg", "youtube_id": "FdD0Wu032R4", "content_kind": "Video", "readable_id": "cahsee-practice--problems-52-53"}], "twitter_url": "", "translated_description": "Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.", "x_pos": 0.0, "node_slug": "cahsee", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2e5e6cb0", "topic_page_url": "/math/test-prep/cahsee", "extended_slug": "math/test-prep/cahsee", "slug": "cahsee", "tags": ["CAHSEE", "california", "high", "school", "exit", "exam"], "kind": "Topic", "in_topic_browser": true, "sha": "56803081634c3d859e2e95dcf136a0f504ddaa12", "standalone_title": "CAHSEE Example Problems", "y_pos": 0.0, "current_revision_key": "56803081634c3d859e2e95dcf136a0f504ddaa12", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/california-standards-test", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/california-standards-test", "translated_standalone_title": "California Standards Test", "translated_title": "California Standards Test", "gplus_url": "", "id": "x638449e3", "old_key_name": "ys5zTT4OXCkN5OdBooGnyEymnEuDPkTLN_eTCOH-", "hide": false, "title": "California Standards Test", "child_data": [{"kind": "Topic", "id": "x45d628cb"}, {"kind": "Topic", "id": "xce3e0deb"}, {"kind": "Topic", "id": "xbc3ccbf0"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/california-standards-test/algebra-i", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/california-standards-test/algebra-i", "translated_standalone_title": "California Standards Test: Algebra I", "translated_title": "Algebra I", "gplus_url": "", "id": "x45d628cb", "old_key_name": "btmBpJOBWfBUwHDR8uXKNRvaM7B1J-Y02KlP0DPx", "hide": false, "title": "Algebra I", "child_data": [{"kind": "Video", "id": 24364}, {"kind": "Video", "id": 24366}, {"kind": "Video", "id": 24368}, {"kind": "Video", "id": 24370}, {"kind": "Video", "id": 24372}, {"kind": "Video", "id": 24374}, {"kind": "Video", "id": 24376}, {"kind": "Video", "id": 24378}, {"kind": "Video", "id": 24380}, {"kind": "Video", "id": 24382}, {"kind": "Video", "id": 24384}, {"kind": "Video", "id": 4802215}, {"kind": "Video", "id": 24388}, {"kind": "Video", "id": 24390}, {"kind": "Video", "id": 24392}, {"kind": "Video", "id": 24394}], "children": [{"translated_youtube_id": "ZouQdHSyelg", "relative_url": "/video/ca-algebra-i--number-properties-and-absolute-value", "has_questions": false, "keywords": "californa, standards, algebra, inequality, equations", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--number-properties-and-absolute-value", "duration": 722, "translated_title": "CA Algebra I: Number properties and absolute value", "translated_description_html": "

1-7, number properties and absolute value equations<\/p>", "id": "24364", "description_html": "

1-7, number properties and absolute value equations<\/p>", "title": "CA Algebra I: Number properties and absolute value", "progress_key": "v24364", "edit_slug": "edit/v/24364", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-7, number properties and absolute value equations", "extra_properties": {}, "node_slug": "v/ca-algebra-i--number-properties-and-absolute-value", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.mp4/ZouQdHSyelg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.mp4/ZouQdHSyelg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZouQdHSyelg.m3u8/ZouQdHSyelg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZouQdHSyelg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v24364", "sha": "6d1c8d76bd84162ce58bdd8fb373198767ddc82f", "translated_description": "1-7, number properties and absolute value equations", "image_url": "https://img.youtube.com/vi/ZouQdHSyelg/hqdefault.jpg", "youtube_id": "ZouQdHSyelg", "content_kind": "Video", "readable_id": "ca-algebra-i--number-properties-and-absolute-value"}, {"translated_youtube_id": "Hfihqi82M4A", "relative_url": "/video/ca-algebra-i--simplifying-expressions", "has_questions": false, "keywords": "algebra, simplifying, expressions", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--simplifying-expressions", "duration": 784, "translated_title": "CA Algebra I: Simplifying expressions", "translated_description_html": "8-13, simplifying expressions and word problems", "id": "24366", "description_html": "8-13, simplifying expressions and word problems", "title": "CA Algebra I: Simplifying expressions", "progress_key": "v24366", "edit_slug": "edit/v/24366", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "8-13, simplifying expressions and word problems", "extra_properties": null, "node_slug": "v/ca-algebra-i--simplifying-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hfihqi82M4A.mp4/Hfihqi82M4A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hfihqi82M4A.mp4/Hfihqi82M4A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hfihqi82M4A.m3u8/Hfihqi82M4A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hfihqi82M4A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24366", "sha": "f80d887073fe994778994babb556cc81675f64b9", "translated_description": "8-13, simplifying expressions and word problems", "image_url": "https://img.youtube.com/vi/Hfihqi82M4A/hqdefault.jpg", "youtube_id": "Hfihqi82M4A", "content_kind": "Video", "readable_id": "ca-algebra-i--simplifying-expressions"}, {"translated_youtube_id": "yIzF_XGX4qk", "relative_url": "/video/ca-algebra-i--simple-logical-arguments", "has_questions": false, "keywords": "california, algebra, standards", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--simple-logical-arguments", "duration": 664, "translated_title": "CA Algebra I: Simple logical arguments", "translated_description_html": "14-20, simple logical reasoning", "id": "24368", "description_html": "14-20, simple logical reasoning", "title": "CA Algebra I: Simple logical arguments", "progress_key": "v24368", "edit_slug": "edit/v/24368", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "14-20, simple logical reasoning", "extra_properties": null, "node_slug": "v/ca-algebra-i--simple-logical-arguments", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yIzF_XGX4qk.mp4/yIzF_XGX4qk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yIzF_XGX4qk.mp4/yIzF_XGX4qk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yIzF_XGX4qk.m3u8/yIzF_XGX4qk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yIzF_XGX4qk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24368", "sha": "e8b8a2ba6d8ae21404d6515c269098211d5a6480", "translated_description": "14-20, simple logical reasoning", "image_url": "https://img.youtube.com/vi/yIzF_XGX4qk/hqdefault.jpg", "youtube_id": "yIzF_XGX4qk", "content_kind": "Video", "readable_id": "ca-algebra-i--simple-logical-arguments"}, {"translated_youtube_id": "KZ8Vw_Nim8U", "relative_url": "/video/ca-algebra-i--graphing-inequalities", "has_questions": false, "keywords": "graphing, inequalities, testing, assertions, algebra", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--graphing-inequalities", "duration": 702, "translated_title": "CA Algebra I: Graphing inequalities", "translated_description_html": "21-26, graphing inequalities and testing assertions", "id": "24370", "description_html": "21-26, graphing inequalities and testing assertions", "title": "CA Algebra I: Graphing inequalities", "progress_key": "v24370", "edit_slug": "edit/v/24370", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "21-26, graphing inequalities and testing assertions", "extra_properties": null, "node_slug": "v/ca-algebra-i--graphing-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.mp4/KZ8Vw_Nim8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.mp4/KZ8Vw_Nim8U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KZ8Vw_Nim8U.m3u8/KZ8Vw_Nim8U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KZ8Vw_Nim8U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24370", "sha": "f5c4acc1de65a0bdfb50577becd9a13d78d8a425", "translated_description": "21-26, graphing inequalities and testing assertions", "image_url": "https://img.youtube.com/vi/KZ8Vw_Nim8U/hqdefault.jpg", "youtube_id": "KZ8Vw_Nim8U", "content_kind": "Video", "readable_id": "ca-algebra-i--graphing-inequalities"}, {"translated_youtube_id": "31v-n2ND2VE", "relative_url": "/video/ca-algebra-i--slope-and-y-intercept", "has_questions": false, "keywords": "slope, line, equation, y-intercept", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--slope-and-y-intercept", "duration": 750, "translated_title": "CA Algebra I: Slope and y-intercept", "translated_description_html": "27-32, figuring out the slope, y-intercept and equation of a line", "id": "24372", "description_html": "27-32, figuring out the slope, y-intercept and equation of a line", "title": "CA Algebra I: Slope and y-intercept", "progress_key": "v24372", "edit_slug": "edit/v/24372", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "27-32, figuring out the slope, y-intercept and equation of a line", "extra_properties": null, "node_slug": "v/ca-algebra-i--slope-and-y-intercept", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.mp4/31v-n2ND2VE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.mp4/31v-n2ND2VE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/31v-n2ND2VE.m3u8/31v-n2ND2VE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=31v-n2ND2VE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24372", "sha": "919bf3baad05c9c8ffc2250ab8e3c8e1d125d2e7", "translated_description": "27-32, figuring out the slope, y-intercept and equation of a line", "image_url": "https://img.youtube.com/vi/31v-n2ND2VE/hqdefault.jpg", "youtube_id": "31v-n2ND2VE", "content_kind": "Video", "readable_id": "ca-algebra-i--slope-and-y-intercept"}, {"translated_youtube_id": "1piZ8oYWh3E", "relative_url": "/video/ca-algebra-i--systems-of-inequalities", "has_questions": false, "keywords": "algebra, systems, of, equations", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--systems-of-inequalities", "duration": 776, "translated_title": "CA Algebra I: Systems of inequalities", "translated_description_html": "33-37, systems of equations and inequalities", "id": "24374", "description_html": "33-37, systems of equations and inequalities", "title": "CA Algebra I: Systems of inequalities", "progress_key": "v24374", "edit_slug": "edit/v/24374", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "33-37, systems of equations and inequalities", "extra_properties": null, "node_slug": "v/ca-algebra-i--systems-of-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.mp4/1piZ8oYWh3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.mp4/1piZ8oYWh3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1piZ8oYWh3E.m3u8/1piZ8oYWh3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1piZ8oYWh3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24374", "sha": "e7d1426fba360c6d5c93e56e46dc5ee54c623f81", "translated_description": "33-37, systems of equations and inequalities", "image_url": "https://img.youtube.com/vi/1piZ8oYWh3E/hqdefault.jpg", "youtube_id": "1piZ8oYWh3E", "content_kind": "Video", "readable_id": "ca-algebra-i--systems-of-inequalities"}, {"translated_youtube_id": "ri-0v6vqcKM", "relative_url": "/video/ca-algebra-i--simplying-expressions", "has_questions": false, "keywords": "algebra, binomial, systems", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--simplying-expressions", "duration": 651, "translated_title": "CA Algebra I: Simplifying expressions", "translated_description_html": "38-43, systems, binomial simplification", "id": "24376", "description_html": "38-43, systems, binomial simplification", "title": "CA Algebra I: Simplifying expressions", "progress_key": "v24376", "edit_slug": "edit/v/24376", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "38-43, systems, binomial simplification", "extra_properties": null, "node_slug": "v/ca-algebra-i--simplying-expressions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ri-0v6vqcKM.mp4/ri-0v6vqcKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ri-0v6vqcKM.mp4/ri-0v6vqcKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ri-0v6vqcKM.m3u8/ri-0v6vqcKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ri-0v6vqcKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24376", "sha": "ca57caa5b57f683c7d1417bf8a800c806b4f081e", "translated_description": "38-43, systems, binomial simplification", "image_url": "https://img.youtube.com/vi/ri-0v6vqcKM/hqdefault.jpg", "youtube_id": "ri-0v6vqcKM", "content_kind": "Video", "readable_id": "ca-algebra-i--simplying-expressions"}, {"translated_youtube_id": "K5ggNnKTmNM", "relative_url": "/video/ca-algebra-i--factoring-quadratics", "has_questions": false, "keywords": "algebra, factoring, quadratic", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--factoring-quadratics", "duration": 712, "translated_title": "CA Algebra I: Factoring quadratics", "translated_description_html": "44-47, factoring quadratics", "id": "24378", "description_html": "44-47, factoring quadratics", "title": "CA Algebra I: Factoring quadratics", "progress_key": "v24378", "edit_slug": "edit/v/24378", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "44-47, factoring quadratics", "extra_properties": null, "node_slug": "v/ca-algebra-i--factoring-quadratics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.mp4/K5ggNnKTmNM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.mp4/K5ggNnKTmNM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K5ggNnKTmNM.m3u8/K5ggNnKTmNM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K5ggNnKTmNM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24378", "sha": "163ee8a5cd83b33ce6d7160656ddefca7adb4def", "translated_description": "44-47, factoring quadratics", "image_url": "https://img.youtube.com/vi/K5ggNnKTmNM/hqdefault.jpg", "youtube_id": "K5ggNnKTmNM", "content_kind": "Video", "readable_id": "ca-algebra-i--factoring-quadratics"}, {"translated_youtube_id": "8M4c8TB3Cdc", "relative_url": "/video/ca-algebra-i--completing-the-square", "has_questions": false, "keywords": "algebra, completing, the, square", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--completing-the-square", "duration": 828, "translated_title": "CA Algebra I: Completing the square", "translated_description_html": "48-52, completing the square", "id": "24380", "description_html": "48-52, completing the square", "title": "CA Algebra I: Completing the square", "progress_key": "v24380", "edit_slug": "edit/v/24380", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "48-52, completing the square", "extra_properties": null, "node_slug": "v/ca-algebra-i--completing-the-square", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.mp4/8M4c8TB3Cdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.mp4/8M4c8TB3Cdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8M4c8TB3Cdc.m3u8/8M4c8TB3Cdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8M4c8TB3Cdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24380", "sha": "d2f6a5de99ecfc8eddbad1114b4b302b7308a54d", "translated_description": "48-52, completing the square", "image_url": "https://img.youtube.com/vi/8M4c8TB3Cdc/hqdefault.jpg", "youtube_id": "8M4c8TB3Cdc", "content_kind": "Video", "readable_id": "ca-algebra-i--completing-the-square"}, {"translated_youtube_id": "tSNtCg7o7bA", "relative_url": "/video/ca-algebra-i--quadratic-equation", "has_questions": false, "keywords": "algebra, quadratic, equation", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--quadratic-equation", "duration": 614, "translated_title": "CA Algebra I: Quadratic equation", "translated_description_html": "53-57, Quadratic Equation", "id": "24382", "description_html": "53-57, Quadratic Equation", "title": "CA Algebra I: Quadratic equation", "progress_key": "v24382", "edit_slug": "edit/v/24382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "53-57, Quadratic Equation", "extra_properties": null, "node_slug": "v/ca-algebra-i--quadratic-equation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.mp4/tSNtCg7o7bA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.mp4/tSNtCg7o7bA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tSNtCg7o7bA.m3u8/tSNtCg7o7bA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tSNtCg7o7bA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24382", "sha": "292615d58ce1a6722a8cfe6e7be157c3802c2c19", "translated_description": "53-57, Quadratic Equation", "image_url": "https://img.youtube.com/vi/tSNtCg7o7bA/hqdefault.jpg", "youtube_id": "tSNtCg7o7bA", "content_kind": "Video", "readable_id": "ca-algebra-i--quadratic-equation"}, {"translated_youtube_id": "uA6mcx4FMN8", "relative_url": "/video/ca-algebra-i--quadratic-roots", "has_questions": false, "keywords": "algebra, x-intercept, quadratic, function", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--quadratic-roots", "duration": 866, "translated_title": "CA Algebra I: Quadratic roots", "translated_description_html": "58-62, x-intercepts of a quadratic function", "id": "24384", "description_html": "58-62, x-intercepts of a quadratic function", "title": "CA Algebra I: Quadratic roots", "progress_key": "v24384", "edit_slug": "edit/v/24384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "58-62, x-intercepts of a quadratic function", "extra_properties": null, "node_slug": "v/ca-algebra-i--quadratic-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.mp4/uA6mcx4FMN8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.mp4/uA6mcx4FMN8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uA6mcx4FMN8.m3u8/uA6mcx4FMN8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uA6mcx4FMN8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24384", "sha": "999ee4db7174f82fecc81d0c2cfcf6c52d811a53", "translated_description": "58-62, x-intercepts of a quadratic function", "image_url": "https://img.youtube.com/vi/uA6mcx4FMN8/hqdefault.jpg", "youtube_id": "uA6mcx4FMN8", "content_kind": "Video", "readable_id": "ca-algebra-i--quadratic-roots"}, {"translated_youtube_id": "K4VyHxglUts", "relative_url": "/video/ca-algebra-i--rational-expressions-1", "has_questions": false, "keywords": "algebra, rational, expressions", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--rational-expressions-1", "duration": 598, "translated_title": "CA Algebra I: Rational expressions 1", "translated_description_html": "63-65, simplifying rational expressions", "id": "4802215", "description_html": "63-65, simplifying rational expressions", "title": "CA Algebra I: Rational expressions 1", "progress_key": "v4802215", "edit_slug": "edit/v/4802215", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "63-65, simplifying rational expressions", "extra_properties": null, "node_slug": "v/ca-algebra-i--rational-expressions-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K4VyHxglUts.mp4/K4VyHxglUts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K4VyHxglUts.mp4/K4VyHxglUts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K4VyHxglUts.m3u8/K4VyHxglUts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K4VyHxglUts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802215", "sha": "68d8ec56edf08ab6db550eb20b1bd2e715ad8576", "translated_description": "63-65, simplifying rational expressions", "image_url": "https://img.youtube.com/vi/K4VyHxglUts/hqdefault.jpg", "youtube_id": "K4VyHxglUts", "content_kind": "Video", "readable_id": "ca-algebra-i--rational-expressions-1"}, {"translated_youtube_id": "C5xQP8RmHxE", "relative_url": "/video/ca-algebra-i--rational-expressions-2", "has_questions": false, "keywords": "algebra, rational, expressions", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--rational-expressions-2", "duration": 688, "translated_title": "CA Algebra I: Rational expressions 2", "translated_description_html": "66-70, more simplifying of rational expressions", "id": "24388", "description_html": "66-70, more simplifying of rational expressions", "title": "CA Algebra I: Rational expressions 2", "progress_key": "v24388", "edit_slug": "edit/v/24388", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "66-70, more simplifying of rational expressions", "extra_properties": null, "node_slug": "v/ca-algebra-i--rational-expressions-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C5xQP8RmHxE.mp4/C5xQP8RmHxE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C5xQP8RmHxE.mp4/C5xQP8RmHxE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C5xQP8RmHxE.m3u8/C5xQP8RmHxE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C5xQP8RmHxE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24388", "sha": "593061aac5692e28930d5e5764720c1a15b92018", "translated_description": "66-70, more simplifying of rational expressions", "image_url": "https://img.youtube.com/vi/C5xQP8RmHxE/hqdefault.jpg", "youtube_id": "C5xQP8RmHxE", "content_kind": "Video", "readable_id": "ca-algebra-i--rational-expressions-2"}, {"translated_youtube_id": "PP23clmV9Hw", "relative_url": "/video/ca-algebra-i--word-problems", "has_questions": false, "keywords": "algebra, word, problems", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--word-problems", "duration": 609, "translated_title": "CA Algebra I: Word problems", "translated_description_html": "71-74, word problems", "id": "24390", "description_html": "71-74, word problems", "title": "CA Algebra I: Word problems", "progress_key": "v24390", "edit_slug": "edit/v/24390", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "71-74, word problems", "extra_properties": null, "node_slug": "v/ca-algebra-i--word-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PP23clmV9Hw.mp4/PP23clmV9Hw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PP23clmV9Hw.mp4/PP23clmV9Hw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PP23clmV9Hw.m3u8/PP23clmV9Hw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PP23clmV9Hw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24390", "sha": "5bef0c015151cbeaf7de0997a42e2f47f6373593", "translated_description": "71-74, word problems", "image_url": "https://img.youtube.com/vi/PP23clmV9Hw/hqdefault.jpg", "youtube_id": "PP23clmV9Hw", "content_kind": "Video", "readable_id": "ca-algebra-i--word-problems"}, {"translated_youtube_id": "ch5tDNaeuxc", "relative_url": "/video/ca-algebra-i--more-word-problems", "has_questions": false, "keywords": "algebra, word, problems, functions", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--more-word-problems", "duration": 623, "translated_title": "CA Algebra I: More word problems", "translated_description_html": "75-78, word problems and functions", "id": "24392", "description_html": "75-78, word problems and functions", "title": "CA Algebra I: More word problems", "progress_key": "v24392", "edit_slug": "edit/v/24392", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "75-78, word problems and functions", "extra_properties": null, "node_slug": "v/ca-algebra-i--more-word-problems", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ch5tDNaeuxc.mp4/ch5tDNaeuxc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ch5tDNaeuxc.mp4/ch5tDNaeuxc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ch5tDNaeuxc.m3u8/ch5tDNaeuxc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ch5tDNaeuxc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24392", "sha": "0bb127365714897388e69c93a0afdede7d226439", "translated_description": "75-78, word problems and functions", "image_url": "https://img.youtube.com/vi/ch5tDNaeuxc/hqdefault.jpg", "youtube_id": "ch5tDNaeuxc", "content_kind": "Video", "readable_id": "ca-algebra-i--more-word-problems"}, {"translated_youtube_id": "NRB6s77nx2g", "relative_url": "/video/ca-algebra-i--functions", "has_questions": false, "keywords": "algebra, functions, domain, range", "ka_url": "http://www.khanacademy.org/video/ca-algebra-i--functions", "duration": 395, "translated_title": "CA Algebra I: Functions", "translated_description_html": "79-80, functions, domain and range", "id": "24394", "description_html": "79-80, functions, domain and range", "title": "CA Algebra I: Functions", "progress_key": "v24394", "edit_slug": "edit/v/24394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "79-80, functions, domain and range", "extra_properties": null, "node_slug": "v/ca-algebra-i--functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NRB6s77nx2g.mp4/NRB6s77nx2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NRB6s77nx2g.mp4/NRB6s77nx2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NRB6s77nx2g.m3u8/NRB6s77nx2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NRB6s77nx2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24394", "sha": "54f364d07b69a58932e33b84bdb2eff80fb40cf1", "translated_description": "79-80, functions, domain and range", "image_url": "https://img.youtube.com/vi/NRB6s77nx2g/hqdefault.jpg", "youtube_id": "NRB6s77nx2g", "content_kind": "Video", "readable_id": "ca-algebra-i--functions"}], "twitter_url": "", "translated_description": "Sal works through the problems from the CA Standards released questions (http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf). It is best to go through the \"algebra\" topic first as it is more comprehensive.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through the problems from the CA Standards released questions (http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf). It is best to go through the \"algebra\" topic first as it is more comprehensive.", "x_pos": 0.0, "node_slug": "algebra-i", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45d628cb", "topic_page_url": "/math/test-prep/california-standards-test/algebra-i", "extended_slug": "math/test-prep/california-standards-test/algebra-i", "slug": "algebra-i", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e0e603689ef36d201e45d802dc1fbb9a32ba3a5f", "standalone_title": "California Standards Test: Algebra I", "y_pos": 0.0, "current_revision_key": "e0e603689ef36d201e45d802dc1fbb9a32ba3a5f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/california-standards-test/california-standards-test-algebra-2", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/california-standards-test/california-standards-test-algebra-2", "translated_standalone_title": "California Standards Test: Algebra II", "translated_title": "Algebra II", "gplus_url": "", "id": "xce3e0deb", "old_key_name": "edNXuic6IZ9oopt6JOv2GbEdVu2mthUm_x9IRM7i", "hide": false, "title": "Algebra II", "child_data": [{"kind": "Video", "id": 24396}, {"kind": "Video", "id": 24398}, {"kind": "Video", "id": 24400}, {"kind": "Video", "id": 24402}, {"kind": "Video", "id": 24404}, {"kind": "Video", "id": 24406}, {"kind": "Video", "id": 24408}, {"kind": "Video", "id": 24410}, {"kind": "Video", "id": 24412}, {"kind": "Video", "id": 24414}, {"kind": "Video", "id": 24416}, {"kind": "Video", "id": 24418}, {"kind": "Video", "id": 24420}, {"kind": "Video", "id": 24422}, {"kind": "Video", "id": 24424}, {"kind": "Video", "id": 24426}, {"kind": "Video", "id": 24428}, {"kind": "Video", "id": 24430}, {"kind": "Video", "id": 24432}], "children": [{"translated_youtube_id": "wzEVAd6ezZU", "relative_url": "/video/california-standards-test--algebra-ii", "has_questions": false, "keywords": "california, standards, algebra, absolute, value, systems, of, equations, math", "ka_url": "http://www.khanacademy.org/video/california-standards-test--algebra-ii", "duration": 761, "translated_title": "California Standards Test: Algebra II", "translated_description_html": "1-5, absolute value equations and systems of equations", "id": "24396", "description_html": "1-5, absolute value equations and systems of equations", "title": "California Standards Test: Algebra II", "progress_key": "v24396", "edit_slug": "edit/v/24396", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-5, absolute value equations and systems of equations", "extra_properties": null, "node_slug": "v/california-standards-test--algebra-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wzEVAd6ezZU.mp4/wzEVAd6ezZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wzEVAd6ezZU.mp4/wzEVAd6ezZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wzEVAd6ezZU.m3u8/wzEVAd6ezZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wzEVAd6ezZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24396", "sha": "2876a783e3e536015c9b98c64000e1366d1844ee", "translated_description": "1-5, absolute value equations and systems of equations", "image_url": "https://img.youtube.com/vi/wzEVAd6ezZU/hqdefault.jpg", "youtube_id": "wzEVAd6ezZU", "content_kind": "Video", "readable_id": "california-standards-test--algebra-ii"}, {"translated_youtube_id": "UzvOjuJZVJ0", "relative_url": "/video/california-standards-test--algebra-ii--graphing-inequalities", "has_questions": false, "keywords": "algebra, graphing, inequalities", "ka_url": "http://www.khanacademy.org/video/california-standards-test--algebra-ii--graphing-inequalities", "duration": 824, "translated_title": "California Standards Test: Algebra II (graphing inequalities)", "translated_description_html": "6-8 (understanding and graphing inequalities)", "id": "24398", "description_html": "6-8 (understanding and graphing inequalities)", "title": "California Standards Test: Algebra II (graphing inequalities)", "progress_key": "v24398", "edit_slug": "edit/v/24398", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "6-8 (understanding and graphing inequalities)", "extra_properties": {"original_url": ""}, "node_slug": "v/california-standards-test--algebra-ii--graphing-inequalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UzvOjuJZVJ0.mp4/UzvOjuJZVJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UzvOjuJZVJ0.mp4/UzvOjuJZVJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UzvOjuJZVJ0.m3u8/UzvOjuJZVJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UzvOjuJZVJ0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v24398", "sha": "0c72e98344ccb0027df97b925da04054619eb4c4", "translated_description": "6-8 (understanding and graphing inequalities)", "image_url": "https://img.youtube.com/vi/UzvOjuJZVJ0/hqdefault.jpg", "youtube_id": "UzvOjuJZVJ0", "content_kind": "Video", "readable_id": "california-standards-test--algebra-ii--graphing-inequalities"}, {"translated_youtube_id": "sMrmuoehZpY", "relative_url": "/video/ca-standards--algebra-ii--algebraic-division-multiplication", "has_questions": false, "keywords": "california, standards, algebra, algebraic, division, and, multiplication", "ka_url": "http://www.khanacademy.org/video/ca-standards--algebra-ii--algebraic-division-multiplication", "duration": 669, "translated_title": "CA Standards: Algebra II (algebraic division/multiplication)", "translated_description_html": "9-12 (algebraic division and multiplication)", "id": "24400", "description_html": "9-12 (algebraic division and multiplication)", "title": "CA Standards: Algebra II (algebraic division/multiplication)", "progress_key": "v24400", "edit_slug": "edit/v/24400", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "9-12 (algebraic division and multiplication)", "extra_properties": null, "node_slug": "v/ca-standards--algebra-ii--algebraic-division-multiplication", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sMrmuoehZpY.mp4/sMrmuoehZpY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sMrmuoehZpY.mp4/sMrmuoehZpY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sMrmuoehZpY.m3u8/sMrmuoehZpY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sMrmuoehZpY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24400", "sha": "a9ec97e173027d45b9994644d27da8dc1d0d9319", "translated_description": "9-12 (algebraic division and multiplication)", "image_url": "https://img.youtube.com/vi/sMrmuoehZpY/hqdefault.jpg", "youtube_id": "sMrmuoehZpY", "content_kind": "Video", "readable_id": "ca-standards--algebra-ii--algebraic-division-multiplication"}, {"translated_youtube_id": "q9m5VZMYEyw", "relative_url": "/video/ca-standards---algebra-ii", "has_questions": false, "keywords": "california, standards, test, algebra, polynomial, factoring, multiplication", "ka_url": "http://www.khanacademy.org/video/ca-standards---algebra-ii", "duration": 611, "translated_title": "CA Standards: Algebra II", "translated_description_html": "13-16 (polynomial factoring and multiplication)", "id": "24402", "description_html": "13-16 (polynomial factoring and multiplication)", "title": "CA Standards: Algebra II", "progress_key": "v24402", "edit_slug": "edit/v/24402", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "13-16 (polynomial factoring and multiplication)", "extra_properties": null, "node_slug": "v/ca-standards---algebra-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q9m5VZMYEyw.mp4/q9m5VZMYEyw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q9m5VZMYEyw.mp4/q9m5VZMYEyw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q9m5VZMYEyw.m3u8/q9m5VZMYEyw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q9m5VZMYEyw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24402", "sha": "5f0c999c9a4d715b94006c7b39b604b812ff104e", "translated_description": "13-16 (polynomial factoring and multiplication)", "image_url": "https://img.youtube.com/vi/q9m5VZMYEyw/hqdefault.jpg", "youtube_id": "q9m5VZMYEyw", "content_kind": "Video", "readable_id": "ca-standards---algebra-ii"}, {"translated_youtube_id": "WB7gPfsv6rQ", "relative_url": "/video/algebra-ii--simplifying-polynomials", "has_questions": false, "keywords": "california, standards, algebra, polynomial", "ka_url": "http://www.khanacademy.org/video/algebra-ii--simplifying-polynomials", "duration": 619, "translated_title": "Algebra II: Simplifying polynomials", "translated_description_html": "17-22, simplifying polynomials and algebraic expressions", "id": "24404", "description_html": "17-22, simplifying polynomials and algebraic expressions", "title": "Algebra II: Simplifying polynomials", "progress_key": "v24404", "edit_slug": "edit/v/24404", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "17-22, simplifying polynomials and algebraic expressions", "extra_properties": null, "node_slug": "v/algebra-ii--simplifying-polynomials", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.mp4/WB7gPfsv6rQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.mp4/WB7gPfsv6rQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WB7gPfsv6rQ.m3u8/WB7gPfsv6rQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WB7gPfsv6rQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24404", "sha": "a20811b0be666e39aa25092546f2738241a535f3", "translated_description": "17-22, simplifying polynomials and algebraic expressions", "image_url": "https://img.youtube.com/vi/WB7gPfsv6rQ/hqdefault.jpg", "youtube_id": "WB7gPfsv6rQ", "content_kind": "Video", "readable_id": "algebra-ii--simplifying-polynomials"}, {"translated_youtube_id": "C-2Ln0pK3kY", "relative_url": "/video/algebra-ii--imaginary-and-complex-numbers", "has_questions": false, "keywords": "algebra, complex, imaginary", "ka_url": "http://www.khanacademy.org/video/algebra-ii--imaginary-and-complex-numbers", "duration": 595, "translated_title": "Algebra II: Imaginary and complex numbers", "translated_description_html": "23-26, mostly imaginary and complex numbers", "id": "24406", "description_html": "23-26, mostly imaginary and complex numbers", "title": "Algebra II: Imaginary and complex numbers", "progress_key": "v24406", "edit_slug": "edit/v/24406", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "23-26, mostly imaginary and complex numbers", "extra_properties": null, "node_slug": "v/algebra-ii--imaginary-and-complex-numbers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.mp4/C-2Ln0pK3kY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.mp4/C-2Ln0pK3kY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C-2Ln0pK3kY.m3u8/C-2Ln0pK3kY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C-2Ln0pK3kY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24406", "sha": "1a6fbbdf453ae7a653213bd6284ebca740a82e92", "translated_description": "23-26, mostly imaginary and complex numbers", "image_url": "https://img.youtube.com/vi/C-2Ln0pK3kY/hqdefault.jpg", "youtube_id": "C-2Ln0pK3kY", "content_kind": "Video", "readable_id": "algebra-ii--imaginary-and-complex-numbers"}, {"translated_youtube_id": "e3W8o6M-7gg", "relative_url": "/video/algebra-ii--complex-numbers-and-conjugates", "has_questions": false, "keywords": "complex, numbers, and, conjugates, algebra, imaginary", "ka_url": "http://www.khanacademy.org/video/algebra-ii--complex-numbers-and-conjugates", "duration": 603, "translated_title": "Algebra II: Complex numbers and conjugates", "translated_description_html": "27-31, complex numbers and conjugates", "id": "24408", "description_html": "27-31, complex numbers and conjugates", "title": "Algebra II: Complex numbers and conjugates", "progress_key": "v24408", "edit_slug": "edit/v/24408", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "27-31, complex numbers and conjugates", "extra_properties": null, "node_slug": "v/algebra-ii--complex-numbers-and-conjugates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e3W8o6M-7gg.mp4/e3W8o6M-7gg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e3W8o6M-7gg.mp4/e3W8o6M-7gg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e3W8o6M-7gg.m3u8/e3W8o6M-7gg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e3W8o6M-7gg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24408", "sha": "a5743fd6838e8df98cf98c4d14405f256736c0d9", "translated_description": "27-31, complex numbers and conjugates", "image_url": "https://img.youtube.com/vi/e3W8o6M-7gg/hqdefault.jpg", "youtube_id": "e3W8o6M-7gg", "content_kind": "Video", "readable_id": "algebra-ii--complex-numbers-and-conjugates"}, {"translated_youtube_id": "GHDrDdu6vrU", "relative_url": "/video/algebra-ii--quadratics-and-shifts", "has_questions": false, "keywords": "algebra, caslifornia, standards, quadratic, graph, shift", "ka_url": "http://www.khanacademy.org/video/algebra-ii--quadratics-and-shifts", "duration": 714, "translated_title": "Algebra II: Quadratics and shifts", "translated_description_html": "32-35, Solving quadratics and graph shifts", "id": "24410", "description_html": "32-35, Solving quadratics and graph shifts", "title": "Algebra II: Quadratics and shifts", "progress_key": "v24410", "edit_slug": "edit/v/24410", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "32-35, Solving quadratics and graph shifts", "extra_properties": null, "node_slug": "v/algebra-ii--quadratics-and-shifts", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.mp4/GHDrDdu6vrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.mp4/GHDrDdu6vrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GHDrDdu6vrU.m3u8/GHDrDdu6vrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GHDrDdu6vrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24410", "sha": "70962dfd1a0361f8e477fc4a3515ad4ffee4061d", "translated_description": "32-35, Solving quadratics and graph shifts", "image_url": "https://img.youtube.com/vi/GHDrDdu6vrU/hqdefault.jpg", "youtube_id": "GHDrDdu6vrU", "content_kind": "Video", "readable_id": "algebra-ii--quadratics-and-shifts"}, {"translated_youtube_id": "X9rTIwc1wRU", "relative_url": "/video/algebra-ii--shifting-quadratic-graphs", "has_questions": false, "keywords": "shifting, quadartic, graph, roots", "ka_url": "http://www.khanacademy.org/video/algebra-ii--shifting-quadratic-graphs", "duration": 691, "translated_title": "Examples: Graphing and interpreting quadratics", "translated_description_html": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "id": "24412", "description_html": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "title": "Examples: Graphing and interpreting quadratics", "progress_key": "v24412", "edit_slug": "edit/v/24412", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "extra_properties": null, "node_slug": "v/algebra-ii--shifting-quadratic-graphs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.mp4/X9rTIwc1wRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.mp4/X9rTIwc1wRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X9rTIwc1wRU.m3u8/X9rTIwc1wRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X9rTIwc1wRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24412", "sha": "2857450b522ddb5cc71a41074b8d9a3c1a42b676", "translated_description": "36-38, shifting quadratic graphs and finding x-intercepts (roots)", "image_url": "https://img.youtube.com/vi/X9rTIwc1wRU/hqdefault.jpg", "youtube_id": "X9rTIwc1wRU", "content_kind": "Video", "readable_id": "algebra-ii--shifting-quadratic-graphs"}, {"translated_youtube_id": "74oju-0NExU", "relative_url": "/video/algebra-----conic-sections", "has_questions": false, "keywords": "algebra, conic, sections, hyperbola, parabola, vertex", "ka_url": "http://www.khanacademy.org/video/algebra-----conic-sections", "duration": 811, "translated_title": "Hyperbola and parabola examples", "translated_description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "id": "24414", "description_html": "

Parabola, Hyperbolas, etc.<\/p>\n", "title": "Hyperbola and parabola examples", "progress_key": "v24414", "edit_slug": "edit/v/24414", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabola, Hyperbolas, etc.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/algebra-----conic-sections", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.mp4/74oju-0NExU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/74oju-0NExU.m3u8/74oju-0NExU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=74oju-0NExU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24414", "sha": "7e56e436f274fbdb6717f5fb60f329b0c16a0222", "translated_description": "Parabola, Hyperbolas, etc.\n", "image_url": "https://img.youtube.com/vi/74oju-0NExU/hqdefault.jpg", "youtube_id": "74oju-0NExU", "content_kind": "Video", "readable_id": "algebra-----conic-sections"}, {"translated_youtube_id": "QwOcCoHsZfM", "relative_url": "/video/algebra-ii--circles-and-logarithms", "has_questions": false, "keywords": "algebra, circles, logarithms, exponents", "ka_url": "http://www.khanacademy.org/video/algebra-ii--circles-and-logarithms", "duration": 696, "translated_title": "Algebra II: Circles and logarithms", "translated_description_html": "43-48, circles, logarithms, exponents", "id": "24416", "description_html": "43-48, circles, logarithms, exponents", "title": "Algebra II: Circles and logarithms", "progress_key": "v24416", "edit_slug": "edit/v/24416", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "43-48, circles, logarithms, exponents", "extra_properties": null, "node_slug": "v/algebra-ii--circles-and-logarithms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QwOcCoHsZfM.mp4/QwOcCoHsZfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QwOcCoHsZfM.mp4/QwOcCoHsZfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QwOcCoHsZfM.m3u8/QwOcCoHsZfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QwOcCoHsZfM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24416", "sha": "b7dbe4889f7853881e88c87d0ca94e65bb0c0099", "translated_description": "43-48, circles, logarithms, exponents", "image_url": "https://img.youtube.com/vi/QwOcCoHsZfM/hqdefault.jpg", "youtube_id": "QwOcCoHsZfM", "content_kind": "Video", "readable_id": "algebra-ii--circles-and-logarithms"}, {"translated_youtube_id": "BcjutHIUjxQ", "relative_url": "/video/algebra-ii--logarithms-exponential-growth", "has_questions": false, "keywords": "algebra, II, logarithms, logarithm, exponential, growth, decay", "ka_url": "http://www.khanacademy.org/video/algebra-ii--logarithms-exponential-growth", "duration": 667, "translated_title": "Algebra II: Logarithms exponential growth", "translated_description_html": "49-52, logarithms, exponential growth and decay", "id": "24418", "description_html": "49-52, logarithms, exponential growth and decay", "title": "Algebra II: Logarithms exponential growth", "progress_key": "v24418", "edit_slug": "edit/v/24418", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "49-52, logarithms, exponential growth and decay", "extra_properties": null, "node_slug": "v/algebra-ii--logarithms-exponential-growth", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BcjutHIUjxQ.mp4/BcjutHIUjxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BcjutHIUjxQ.mp4/BcjutHIUjxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BcjutHIUjxQ.m3u8/BcjutHIUjxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BcjutHIUjxQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24418", "sha": "b308048c97e86231d5f0a0519dc6450fea5359af", "translated_description": "49-52, logarithms, exponential growth and decay", "image_url": "https://img.youtube.com/vi/BcjutHIUjxQ/hqdefault.jpg", "youtube_id": "BcjutHIUjxQ", "content_kind": "Video", "readable_id": "algebra-ii--logarithms-exponential-growth"}, {"translated_youtube_id": "9Z1WpYN-tBE", "relative_url": "/video/algebra-ii--logarithms-and-more", "has_questions": false, "keywords": "algebra, functions, logarithm, properties", "ka_url": "http://www.khanacademy.org/video/algebra-ii--logarithms-and-more", "duration": 676, "translated_title": "Algebra II: Logarithms and more", "translated_description_html": "53-59, Logarithms and functions", "id": "24420", "description_html": "53-59, Logarithms and functions", "title": "Algebra II: Logarithms and more", "progress_key": "v24420", "edit_slug": "edit/v/24420", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "53-59, Logarithms and functions", "extra_properties": null, "node_slug": "v/algebra-ii--logarithms-and-more", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Z1WpYN-tBE.mp4/9Z1WpYN-tBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Z1WpYN-tBE.mp4/9Z1WpYN-tBE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Z1WpYN-tBE.m3u8/9Z1WpYN-tBE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Z1WpYN-tBE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24420", "sha": "2225dbda8b398d73516d6f5202bcc1fdb03e88ae", "translated_description": "53-59, Logarithms and functions", "image_url": "https://img.youtube.com/vi/9Z1WpYN-tBE/hqdefault.jpg", "youtube_id": "9Z1WpYN-tBE", "content_kind": "Video", "readable_id": "algebra-ii--logarithms-and-more"}, {"translated_youtube_id": "Y5BukhTmSHE", "relative_url": "/video/algebra-ii--functions--combinatorics", "has_questions": false, "keywords": "probability, combination, functions", "ka_url": "http://www.khanacademy.org/video/algebra-ii--functions--combinatorics", "duration": 685, "translated_title": "Algebra II: Functions, combinatorics", "translated_description_html": "60-65, functions, combinations, probability", "id": "24422", "description_html": "60-65, functions, combinations, probability", "title": "Algebra II: Functions, combinatorics", "progress_key": "v24422", "edit_slug": "edit/v/24422", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "60-65, functions, combinations, probability", "extra_properties": null, "node_slug": "v/algebra-ii--functions--combinatorics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y5BukhTmSHE.mp4/Y5BukhTmSHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y5BukhTmSHE.mp4/Y5BukhTmSHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y5BukhTmSHE.m3u8/Y5BukhTmSHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y5BukhTmSHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24422", "sha": "edda5c5df9582f666c91a5c12d42e780a8414378", "translated_description": "60-65, functions, combinations, probability", "image_url": "https://img.youtube.com/vi/Y5BukhTmSHE/hqdefault.jpg", "youtube_id": "Y5BukhTmSHE", "content_kind": "Video", "readable_id": "algebra-ii--functions--combinatorics"}, {"translated_youtube_id": "xTxv9Wukjiw", "relative_url": "/video/algebra-ii--binomial-expansion-and-combinatorics", "has_questions": false, "keywords": "algebra, binomial", "ka_url": "http://www.khanacademy.org/video/algebra-ii--binomial-expansion-and-combinatorics", "duration": 769, "translated_title": "Algebra II: Binomial expansion and combinatorics", "translated_description_html": "65 (done another way) - 66, combinatorics and binomial expansions", "id": "24424", "description_html": "65 (done another way) - 66, combinatorics and binomial expansions", "title": "Algebra II: Binomial expansion and combinatorics", "progress_key": "v24424", "edit_slug": "edit/v/24424", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "65 (done another way) - 66, combinatorics and binomial expansions", "extra_properties": null, "node_slug": "v/algebra-ii--binomial-expansion-and-combinatorics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xTxv9Wukjiw.mp4/xTxv9Wukjiw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xTxv9Wukjiw.mp4/xTxv9Wukjiw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xTxv9Wukjiw.m3u8/xTxv9Wukjiw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xTxv9Wukjiw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24424", "sha": "d0d09b57ab5ac82291ec2068d706de6714ac055a", "translated_description": "65 (done another way) - 66, combinatorics and binomial expansions", "image_url": "https://img.youtube.com/vi/xTxv9Wukjiw/hqdefault.jpg", "youtube_id": "xTxv9Wukjiw", "content_kind": "Video", "readable_id": "algebra-ii--binomial-expansion-and-combinatorics"}, {"translated_youtube_id": "EwKWzFv3Ul8", "relative_url": "/video/algebra-ii--binomial-expansions--geometric-series-sum", "has_questions": false, "keywords": "algebra, binomial, geometric, series", "ka_url": "http://www.khanacademy.org/video/algebra-ii--binomial-expansions--geometric-series-sum", "duration": 623, "translated_title": "Algebra II: Binomial expansions, geometric series sum", "translated_description_html": "67-69, binomial expansions and the sum of a geometric series", "id": "24426", "description_html": "67-69, binomial expansions and the sum of a geometric series", "title": "Algebra II: Binomial expansions, geometric series sum", "progress_key": "v24426", "edit_slug": "edit/v/24426", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "67-69, binomial expansions and the sum of a geometric series", "extra_properties": null, "node_slug": "v/algebra-ii--binomial-expansions--geometric-series-sum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EwKWzFv3Ul8.mp4/EwKWzFv3Ul8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EwKWzFv3Ul8.mp4/EwKWzFv3Ul8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EwKWzFv3Ul8.m3u8/EwKWzFv3Ul8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EwKWzFv3Ul8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24426", "sha": "5c82a300092cada41538b9a69bf0b3fe32944172", "translated_description": "67-69, binomial expansions and the sum of a geometric series", "image_url": "https://img.youtube.com/vi/EwKWzFv3Ul8/hqdefault.jpg", "youtube_id": "EwKWzFv3Ul8", "content_kind": "Video", "readable_id": "algebra-ii--binomial-expansions--geometric-series-sum"}, {"translated_youtube_id": "ZGJU7aqE3mY", "relative_url": "/video/algebra-ii--functions-and-probability", "has_questions": false, "keywords": "algebra, functions, and, probability", "ka_url": "http://www.khanacademy.org/video/algebra-ii--functions-and-probability", "duration": 656, "translated_title": "Algebra II: Functions and probability", "translated_description_html": "70-75, functions and probability", "id": "24428", "description_html": "70-75, functions and probability", "title": "Algebra II: Functions and probability", "progress_key": "v24428", "edit_slug": "edit/v/24428", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "70-75, functions and probability", "extra_properties": null, "node_slug": "v/algebra-ii--functions-and-probability", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZGJU7aqE3mY.mp4/ZGJU7aqE3mY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZGJU7aqE3mY.mp4/ZGJU7aqE3mY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZGJU7aqE3mY.m3u8/ZGJU7aqE3mY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZGJU7aqE3mY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24428", "sha": "f3567d8ad110aef32fd5263f0163b6410d6aa2d5", "translated_description": "70-75, functions and probability", "image_url": "https://img.youtube.com/vi/ZGJU7aqE3mY/hqdefault.jpg", "youtube_id": "ZGJU7aqE3mY", "content_kind": "Video", "readable_id": "algebra-ii--functions-and-probability"}, {"translated_youtube_id": "UXO9kJ3jlhk", "relative_url": "/video/algebra-ii--probability-and-statistics", "has_questions": false, "keywords": "algebra, probability, mean, standard, deviation", "ka_url": "http://www.khanacademy.org/video/algebra-ii--probability-and-statistics", "duration": 787, "translated_title": "Algebra II: Probability and statistics", "translated_description_html": "76-79, probability, mean, standard deviation", "id": "24430", "description_html": "76-79, probability, mean, standard deviation", "title": "Algebra II: Probability and statistics", "progress_key": "v24430", "edit_slug": "edit/v/24430", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "76-79, probability, mean, standard deviation", "extra_properties": null, "node_slug": "v/algebra-ii--probability-and-statistics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UXO9kJ3jlhk.mp4/UXO9kJ3jlhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UXO9kJ3jlhk.mp4/UXO9kJ3jlhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UXO9kJ3jlhk.m3u8/UXO9kJ3jlhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UXO9kJ3jlhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24430", "sha": "781852d78961da3124e8ade0a017116000cf5486", "translated_description": "76-79, probability, mean, standard deviation", "image_url": "https://img.youtube.com/vi/UXO9kJ3jlhk/hqdefault.jpg", "youtube_id": "UXO9kJ3jlhk", "content_kind": "Video", "readable_id": "algebra-ii--probability-and-statistics"}, {"translated_youtube_id": "i0W4KcxE-mI", "relative_url": "/video/algebra-ii--mean-and-standard-deviation", "has_questions": false, "keywords": "statistics, mean, standard, deviation", "ka_url": "http://www.khanacademy.org/video/algebra-ii--mean-and-standard-deviation", "duration": 468, "translated_title": "Algebra II: Mean and standard deviation", "translated_description_html": "79-80, mean and standard deviation", "id": "24432", "description_html": "79-80, mean and standard deviation", "title": "Algebra II: Mean and standard deviation", "progress_key": "v24432", "edit_slug": "edit/v/24432", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "79-80, mean and standard deviation", "extra_properties": null, "node_slug": "v/algebra-ii--mean-and-standard-deviation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i0W4KcxE-mI.mp4/i0W4KcxE-mI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i0W4KcxE-mI.mp4/i0W4KcxE-mI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i0W4KcxE-mI.m3u8/i0W4KcxE-mI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i0W4KcxE-mI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24432", "sha": "801af18c02dfad8f9a2fafe0a9c4d689a82f281e", "translated_description": "79-80, mean and standard deviation", "image_url": "https://img.youtube.com/vi/i0W4KcxE-mI/hqdefault.jpg", "youtube_id": "i0W4KcxE-mI", "content_kind": "Video", "readable_id": "algebra-ii--mean-and-standard-deviation"}], "twitter_url": "", "translated_description": "Sal works through 80 questions taken from the California Standards Test for Algebra II (http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg2.pdf). If you struggle with these you can get more help by viewing the \"algebra\" topic and completing its exercises.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through 80 questions taken from the California Standards Test for Algebra II (http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg2.pdf). If you struggle with these you can get more help by viewing the \"algebra\" topic and completing its exercises.", "x_pos": 0.0, "node_slug": "california-standards-test-algebra-2", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axce3e0deb", "topic_page_url": "/math/test-prep/california-standards-test/california-standards-test-algebra-2", "extended_slug": "math/test-prep/california-standards-test/california-standards-test-algebra-2", "slug": "california-standards-test-algebra-2", "tags": ["california", "standards", "STAR", "algebra"], "kind": "Topic", "in_topic_browser": false, "sha": "024cee89d8dda22031bc1f22a75b16b23e26434c", "standalone_title": "California Standards Test: Algebra II", "y_pos": 0.0, "current_revision_key": "024cee89d8dda22031bc1f22a75b16b23e26434c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/california-standards-test/geometry-2", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/california-standards-test/geometry-2", "translated_standalone_title": "California Standards Test: Geometry", "translated_title": "Geometry", "gplus_url": "", "id": "xbc3ccbf0", "old_key_name": "2RbwqxLWTKxszq8H_pHCEefmjrlBRicOCCFCr0JU", "hide": false, "title": "Geometry", "child_data": [{"kind": "Video", "id": 24434}, {"kind": "Video", "id": 24436}, {"kind": "Video", "id": 24438}, {"kind": "Video", "id": 4802217}, {"kind": "Video", "id": 24444}, {"kind": "Video", "id": 24446}, {"kind": "Video", "id": 24448}, {"kind": "Video", "id": 24450}, {"kind": "Video", "id": 24452}, {"kind": "Video", "id": 24454}, {"kind": "Video", "id": 24456}, {"kind": "Video", "id": 24458}, {"kind": "Video", "id": 24460}, {"kind": "Video", "id": 24462}, {"kind": "Video", "id": 24464}, {"kind": "Video", "id": 24466}, {"kind": "Video", "id": 24468}], "children": [{"translated_youtube_id": "GluohfOedQE", "relative_url": "/video/ca-geometry--deductive-reasoning", "has_questions": false, "keywords": "geometry, congruent, deductive, reasoning", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deductive-reasoning", "duration": 617, "translated_title": "CA Geometry: Deductive reasoning", "translated_description_html": "1-3, deductive reasoning and congruent angles", "id": "24434", "description_html": "1-3, deductive reasoning and congruent angles", "title": "CA Geometry: Deductive reasoning", "progress_key": "v24434", "edit_slug": "edit/v/24434", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "1-3, deductive reasoning and congruent angles", "extra_properties": null, "node_slug": "v/ca-geometry--deductive-reasoning", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.mp4/GluohfOedQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.mp4/GluohfOedQE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GluohfOedQE.m3u8/GluohfOedQE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GluohfOedQE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24434", "sha": "3c55e33268e879bd366f347deebfdf0091bcf1c8", "translated_description": "1-3, deductive reasoning and congruent angles", "image_url": "https://img.youtube.com/vi/GluohfOedQE/hqdefault.jpg", "youtube_id": "GluohfOedQE", "content_kind": "Video", "readable_id": "ca-geometry--deductive-reasoning"}, {"translated_youtube_id": "u6O0YHyarlI", "relative_url": "/video/ca-geometry--proof-by-contradiction", "has_questions": false, "keywords": "geometry, proof, by, contradiction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--proof-by-contradiction", "duration": 716, "translated_title": "CA Geometry: Proof by contradiction", "translated_description_html": "4-6, proof by contradiction", "id": "24436", "description_html": "4-6, proof by contradiction", "title": "CA Geometry: Proof by contradiction", "progress_key": "v24436", "edit_slug": "edit/v/24436", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "4-6, proof by contradiction", "extra_properties": null, "node_slug": "v/ca-geometry--proof-by-contradiction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.mp4/u6O0YHyarlI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.mp4/u6O0YHyarlI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u6O0YHyarlI.m3u8/u6O0YHyarlI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u6O0YHyarlI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24436", "sha": "369b800225b28aa3c55433034a7c1350f6c39544", "translated_description": "4-6, proof by contradiction", "image_url": "https://img.youtube.com/vi/u6O0YHyarlI/hqdefault.jpg", "youtube_id": "u6O0YHyarlI", "content_kind": "Video", "readable_id": "ca-geometry--proof-by-contradiction"}, {"translated_youtube_id": "4PPMnI8-Zsc", "relative_url": "/video/ca-geometry--more-proofs", "has_questions": false, "keywords": "geometry, proofs", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-proofs", "duration": 732, "translated_title": "CA Geometry: More proofs", "translated_description_html": "7-10, more proofs (10 continued in next video)", "id": "24438", "description_html": "7-10, more proofs (10 continued in next video)", "title": "CA Geometry: More proofs", "progress_key": "v24438", "edit_slug": "edit/v/24438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "7-10, more proofs (10 continued in next video)", "extra_properties": null, "node_slug": "v/ca-geometry--more-proofs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.mp4/4PPMnI8-Zsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.mp4/4PPMnI8-Zsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4PPMnI8-Zsc.m3u8/4PPMnI8-Zsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4PPMnI8-Zsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24438", "sha": "3eed3a3df6b87066eafdba30a49802a1ce6cf940", "translated_description": "7-10, more proofs (10 continued in next video)", "image_url": "https://img.youtube.com/vi/4PPMnI8-Zsc/hqdefault.jpg", "youtube_id": "4PPMnI8-Zsc", "content_kind": "Video", "readable_id": "ca-geometry--more-proofs"}, {"translated_youtube_id": "bWTtHKSEcdI", "relative_url": "/video/ca-geometry--similar-triangles-1", "has_questions": false, "keywords": "geometry, similar, triangles", "ka_url": "http://www.khanacademy.org/video/ca-geometry--similar-triangles-1", "duration": 775, "translated_title": "CA Geometry: Similar triangles 1", "translated_description_html": "10-14, similar triangles", "id": "4802217", "description_html": "10-14, similar triangles", "title": "CA Geometry: Similar triangles 1", "progress_key": "v4802217", "edit_slug": "edit/v/4802217", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "10-14, similar triangles", "extra_properties": null, "node_slug": "v/ca-geometry--similar-triangles-1", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.mp4/bWTtHKSEcdI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.mp4/bWTtHKSEcdI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bWTtHKSEcdI.m3u8/bWTtHKSEcdI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bWTtHKSEcdI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802217", "sha": "ef3b25458e8e84af8e6da477474f19ec8450fbae", "translated_description": "10-14, similar triangles", "image_url": "https://img.youtube.com/vi/bWTtHKSEcdI/hqdefault.jpg", "youtube_id": "bWTtHKSEcdI", "content_kind": "Video", "readable_id": "ca-geometry--similar-triangles-1"}, {"translated_youtube_id": "FVSgVMVZZ-4", "relative_url": "/video/ca-geometry--more-on-congruent-and-similar-triangles", "has_questions": false, "keywords": "geometry, similar, congruent, triangles", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-on-congruent-and-similar-triangles", "duration": 671, "translated_title": "CA Geometry: More on congruent and similar triangles", "translated_description_html": "17-20, more similar and congruent triangles", "id": "24444", "description_html": "17-20, more similar and congruent triangles", "title": "CA Geometry: More on congruent and similar triangles", "progress_key": "v24444", "edit_slug": "edit/v/24444", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "17-20, more similar and congruent triangles", "extra_properties": null, "node_slug": "v/ca-geometry--more-on-congruent-and-similar-triangles", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.mp4/FVSgVMVZZ-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.mp4/FVSgVMVZZ-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FVSgVMVZZ-4.m3u8/FVSgVMVZZ-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FVSgVMVZZ-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24444", "sha": "cea666e13d33de4a2b3232d06cca58f606a0dddb", "translated_description": "17-20, more similar and congruent triangles", "image_url": "https://img.youtube.com/vi/FVSgVMVZZ-4/hqdefault.jpg", "youtube_id": "FVSgVMVZZ-4", "content_kind": "Video", "readable_id": "ca-geometry--more-on-congruent-and-similar-triangles"}, {"translated_youtube_id": "h0FFEBHBufo", "relative_url": "/video/ca-geometry--triangles-and-parallelograms", "has_questions": false, "keywords": "geometry, triangles, parallelograms", "ka_url": "http://www.khanacademy.org/video/ca-geometry--triangles-and-parallelograms", "duration": 674, "translated_title": "CA Geometry: Triangles and parallelograms", "translated_description_html": "21-25, triangles and parallelograms", "id": "24446", "description_html": "21-25, triangles and parallelograms", "title": "CA Geometry: Triangles and parallelograms", "progress_key": "v24446", "edit_slug": "edit/v/24446", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "21-25, triangles and parallelograms", "extra_properties": null, "node_slug": "v/ca-geometry--triangles-and-parallelograms", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.mp4/h0FFEBHBufo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.mp4/h0FFEBHBufo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h0FFEBHBufo.m3u8/h0FFEBHBufo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h0FFEBHBufo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24446", "sha": "07ec6783d9365c1857624aad27e676952be693fd", "translated_description": "21-25, triangles and parallelograms", "image_url": "https://img.youtube.com/vi/h0FFEBHBufo/hqdefault.jpg", "youtube_id": "h0FFEBHBufo", "content_kind": "Video", "readable_id": "ca-geometry--triangles-and-parallelograms"}, {"translated_youtube_id": "jRrRqMJbHKc", "relative_url": "/video/ca-geometry--area--pythagorean-theorem", "has_questions": false, "keywords": "geometry, area, circumference, pythagorean, theorem", "ka_url": "http://www.khanacademy.org/video/ca-geometry--area--pythagorean-theorem", "duration": 619, "translated_title": "CA Geometry: Area, pythagorean theorem", "translated_description_html": "26-30, area, circumference, pythagorean theorem", "id": "24448", "description_html": "26-30, area, circumference, pythagorean theorem", "title": "CA Geometry: Area, pythagorean theorem", "progress_key": "v24448", "edit_slug": "edit/v/24448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "26-30, area, circumference, pythagorean theorem", "extra_properties": null, "node_slug": "v/ca-geometry--area--pythagorean-theorem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.mp4/jRrRqMJbHKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.mp4/jRrRqMJbHKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jRrRqMJbHKc.m3u8/jRrRqMJbHKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jRrRqMJbHKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24448", "sha": "3e2706c082cafe07e4e1eebc88cfbf4ca0545082", "translated_description": "26-30, area, circumference, pythagorean theorem", "image_url": "https://img.youtube.com/vi/jRrRqMJbHKc/hqdefault.jpg", "youtube_id": "jRrRqMJbHKc", "content_kind": "Video", "readable_id": "ca-geometry--area--pythagorean-theorem"}, {"translated_youtube_id": "BJSk1joCQsM", "relative_url": "/video/ca-geometry--area--circumference--volume", "has_questions": false, "keywords": "geometry, area, circumference, volume", "ka_url": "http://www.khanacademy.org/video/ca-geometry--area--circumference--volume", "duration": 653, "translated_title": "CA Geometry: Area, circumference, volume", "translated_description_html": "31-35, area, circumference and volume", "id": "24450", "description_html": "31-35, area, circumference and volume", "title": "CA Geometry: Area, circumference, volume", "progress_key": "v24450", "edit_slug": "edit/v/24450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "31-35, area, circumference and volume", "extra_properties": null, "node_slug": "v/ca-geometry--area--circumference--volume", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.mp4/BJSk1joCQsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.mp4/BJSk1joCQsM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BJSk1joCQsM.m3u8/BJSk1joCQsM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BJSk1joCQsM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24450", "sha": "32188cd1d3112a4c85f6cb7220715f894b13187e", "translated_description": "31-35, area, circumference and volume", "image_url": "https://img.youtube.com/vi/BJSk1joCQsM/hqdefault.jpg", "youtube_id": "BJSk1joCQsM", "content_kind": "Video", "readable_id": "ca-geometry--area--circumference--volume"}, {"translated_youtube_id": "vaOXkt7uuac", "relative_url": "/video/ca-geometry--pythagorean-theorem--area", "has_questions": false, "keywords": "geometry, pythagorean, theorem, area", "ka_url": "http://www.khanacademy.org/video/ca-geometry--pythagorean-theorem--area", "duration": 644, "translated_title": "CA Geometry: Pythagorean theorem, area", "translated_description_html": "36-40, Pythagorean Theorem and Area", "id": "24452", "description_html": "36-40, Pythagorean Theorem and Area", "title": "CA Geometry: Pythagorean theorem, area", "progress_key": "v24452", "edit_slug": "edit/v/24452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "36-40, Pythagorean Theorem and Area", "extra_properties": null, "node_slug": "v/ca-geometry--pythagorean-theorem--area", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.m3u8/vaOXkt7uuac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vaOXkt7uuac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24452", "sha": "7680828f1702ec35e00ee293deb7dccd70df9f44", "translated_description": "36-40, Pythagorean Theorem and Area", "image_url": "https://img.youtube.com/vi/vaOXkt7uuac/hqdefault.jpg", "youtube_id": "vaOXkt7uuac", "content_kind": "Video", "readable_id": "ca-geometry--pythagorean-theorem--area"}, {"translated_youtube_id": "Ncg1HB5uVLc", "relative_url": "/video/ca-geometry--exterior-angles", "has_questions": false, "keywords": "geometry, exterior, angles, polygon", "ka_url": "http://www.khanacademy.org/video/ca-geometry--exterior-angles", "duration": 653, "translated_title": "CA Geometry: Exterior angles", "translated_description_html": "41-45, polygons, exterior angles", "id": "24454", "description_html": "41-45, polygons, exterior angles", "title": "CA Geometry: Exterior angles", "progress_key": "v24454", "edit_slug": "edit/v/24454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "41-45, polygons, exterior angles", "extra_properties": null, "node_slug": "v/ca-geometry--exterior-angles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.mp4/Ncg1HB5uVLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.mp4/Ncg1HB5uVLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ncg1HB5uVLc.m3u8/Ncg1HB5uVLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ncg1HB5uVLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24454", "sha": "d23d91f9047c44d59b44ba90803eaa2c4b8fff3b", "translated_description": "41-45, polygons, exterior angles", "image_url": "https://img.youtube.com/vi/Ncg1HB5uVLc/hqdefault.jpg", "youtube_id": "Ncg1HB5uVLc", "content_kind": "Video", "readable_id": "ca-geometry--exterior-angles"}, {"translated_youtube_id": "_HJljJuVHLw", "relative_url": "/video/ca-geometry--deducing-angle-measures", "has_questions": false, "keywords": "geometry, angles, deduction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--deducing-angle-measures", "duration": 658, "translated_title": "CA Geometry: Deducing angle measures", "translated_description_html": "46-50, deducing the measure of angles", "id": "24456", "description_html": "46-50, deducing the measure of angles", "title": "CA Geometry: Deducing angle measures", "progress_key": "v24456", "edit_slug": "edit/v/24456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "46-50, deducing the measure of angles", "extra_properties": null, "node_slug": "v/ca-geometry--deducing-angle-measures", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.mp4/_HJljJuVHLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_HJljJuVHLw.m3u8/_HJljJuVHLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_HJljJuVHLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24456", "sha": "3a6299a33ce2c08c872b56aea80948e011b4585a", "translated_description": "46-50, deducing the measure of angles", "image_url": "https://img.youtube.com/vi/_HJljJuVHLw/hqdefault.jpg", "youtube_id": "_HJljJuVHLw", "content_kind": "Video", "readable_id": "ca-geometry--deducing-angle-measures"}, {"translated_youtube_id": "6EY0E3z-hsU", "relative_url": "/video/ca-geometry--pythagorean-theorem--compass-constructions", "has_questions": false, "keywords": "geometry, pythagorean, theorem, compass, construction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--pythagorean-theorem--compass-constructions", "duration": 755, "translated_title": "CA Geometry: Pythagorean theorem, compass constructions", "translated_description_html": "51-55, Pythagorean Theorem, compass constructions", "id": "24458", "description_html": "51-55, Pythagorean Theorem, compass constructions", "title": "CA Geometry: Pythagorean theorem, compass constructions", "progress_key": "v24458", "edit_slug": "edit/v/24458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "51-55, Pythagorean Theorem, compass constructions", "extra_properties": null, "node_slug": "v/ca-geometry--pythagorean-theorem--compass-constructions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.mp4/6EY0E3z-hsU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.mp4/6EY0E3z-hsU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6EY0E3z-hsU.m3u8/6EY0E3z-hsU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6EY0E3z-hsU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24458", "sha": "346195968a4767f8222c09c804c25df018467bb3", "translated_description": "51-55, Pythagorean Theorem, compass constructions", "image_url": "https://img.youtube.com/vi/6EY0E3z-hsU/hqdefault.jpg", "youtube_id": "6EY0E3z-hsU", "content_kind": "Video", "readable_id": "ca-geometry--pythagorean-theorem--compass-constructions"}, {"translated_youtube_id": "79lagkER9qY", "relative_url": "/video/ca-geometry--compass-construction", "has_questions": false, "keywords": "geometry, compass, construction", "ka_url": "http://www.khanacademy.org/video/ca-geometry--compass-construction", "duration": 769, "translated_title": "CA Geometry: Compass construction", "translated_description_html": "56-60, compass construction, coordinates", "id": "24460", "description_html": "56-60, compass construction, coordinates", "title": "CA Geometry: Compass construction", "progress_key": "v24460", "edit_slug": "edit/v/24460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "56-60, compass construction, coordinates", "extra_properties": null, "node_slug": "v/ca-geometry--compass-construction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.mp4/79lagkER9qY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.mp4/79lagkER9qY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/79lagkER9qY.m3u8/79lagkER9qY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=79lagkER9qY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24460", "sha": "4bb4001e4fb698f11a9384bbc23139ca4cbcf87a", "translated_description": "56-60, compass construction, coordinates", "image_url": "https://img.youtube.com/vi/79lagkER9qY/hqdefault.jpg", "youtube_id": "79lagkER9qY", "content_kind": "Video", "readable_id": "ca-geometry--compass-construction"}, {"translated_youtube_id": "MyvRxKM0xns", "relative_url": "/video/ca-geometry--basic-trigonometry", "has_questions": false, "keywords": "geometry, trigonometry", "ka_url": "http://www.khanacademy.org/video/ca-geometry--basic-trigonometry", "duration": 664, "translated_title": "CA Geometry: Basic trigonometry", "translated_description_html": "61-65, basic trigonometry", "id": "24462", "description_html": "61-65, basic trigonometry", "title": "CA Geometry: Basic trigonometry", "progress_key": "v24462", "edit_slug": "edit/v/24462", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "61-65, basic trigonometry", "extra_properties": null, "node_slug": "v/ca-geometry--basic-trigonometry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.mp4/MyvRxKM0xns.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.mp4/MyvRxKM0xns.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MyvRxKM0xns.m3u8/MyvRxKM0xns.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MyvRxKM0xns&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24462", "sha": "10d240d1ccc5043c32bfe35a637daf43dfbfb72c", "translated_description": "61-65, basic trigonometry", "image_url": "https://img.youtube.com/vi/MyvRxKM0xns/hqdefault.jpg", "youtube_id": "MyvRxKM0xns", "content_kind": "Video", "readable_id": "ca-geometry--basic-trigonometry"}, {"translated_youtube_id": "8YBQQ0GeusM", "relative_url": "/video/ca-geometry--more-trig", "has_questions": false, "keywords": "geometry, trigonometry, trig", "ka_url": "http://www.khanacademy.org/video/ca-geometry--more-trig", "duration": 741, "translated_title": "CA Geometry: More trig", "translated_description_html": "66-70, more trigonometry", "id": "24464", "description_html": "66-70, more trigonometry", "title": "CA Geometry: More trig", "progress_key": "v24464", "edit_slug": "edit/v/24464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "66-70, more trigonometry", "extra_properties": null, "node_slug": "v/ca-geometry--more-trig", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.mp4/8YBQQ0GeusM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.mp4/8YBQQ0GeusM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8YBQQ0GeusM.m3u8/8YBQQ0GeusM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8YBQQ0GeusM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24464", "sha": "fcea92ccfd009d182e472e05c40e934761be011e", "translated_description": "66-70, more trigonometry", "image_url": "https://img.youtube.com/vi/8YBQQ0GeusM/hqdefault.jpg", "youtube_id": "8YBQQ0GeusM", "content_kind": "Video", "readable_id": "ca-geometry--more-trig"}, {"translated_youtube_id": "FJIZPvE3O1A", "relative_url": "/video/ca-geometry--circle-area-chords-tangent", "has_questions": false, "keywords": "geometry, circle", "ka_url": "http://www.khanacademy.org/video/ca-geometry--circle-area-chords-tangent", "duration": 606, "translated_title": "CA Geometry: Circle area chords tangent", "translated_description_html": "71-75, area, chords, tangents of circles", "id": "24466", "description_html": "71-75, area, chords, tangents of circles", "title": "CA Geometry: Circle area chords tangent", "progress_key": "v24466", "edit_slug": "edit/v/24466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "71-75, area, chords, tangents of circles", "extra_properties": null, "node_slug": "v/ca-geometry--circle-area-chords-tangent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.mp4/FJIZPvE3O1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.mp4/FJIZPvE3O1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FJIZPvE3O1A.m3u8/FJIZPvE3O1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FJIZPvE3O1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24466", "sha": "b35a3a1d5c4493874f65563481702164a78f5a2b", "translated_description": "71-75, area, chords, tangents of circles", "image_url": "https://img.youtube.com/vi/FJIZPvE3O1A/hqdefault.jpg", "youtube_id": "FJIZPvE3O1A", "content_kind": "Video", "readable_id": "ca-geometry--circle-area-chords-tangent"}, {"translated_youtube_id": "Mp838qprwyY", "relative_url": "/video/ca-geometry--secants-and-translations", "has_questions": false, "keywords": "geometry, secant, translation", "ka_url": "http://www.khanacademy.org/video/ca-geometry--secants-and-translations", "duration": 728, "translated_title": "CA Geometry: Secants and translations", "translated_description_html": "76-80, secants and graph translations", "id": "24468", "description_html": "76-80, secants and graph translations", "title": "CA Geometry: Secants and translations", "progress_key": "v24468", "edit_slug": "edit/v/24468", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "76-80, secants and graph translations", "extra_properties": null, "node_slug": "v/ca-geometry--secants-and-translations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.mp4/Mp838qprwyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.mp4/Mp838qprwyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mp838qprwyY.m3u8/Mp838qprwyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mp838qprwyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24468", "sha": "42b2fc1c1e85d076958260daaa713213497a44f5", "translated_description": "76-80, secants and graph translations", "image_url": "https://img.youtube.com/vi/Mp838qprwyY/hqdefault.jpg", "youtube_id": "Mp838qprwyY", "content_kind": "Video", "readable_id": "ca-geometry--secants-and-translations"}], "twitter_url": "", "translated_description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry (http://www.cde.ca.gov/ta/tg/sr/documents/cstrtqgeomapr15.pdf). Basic understanding of algebra is necessary. The \"geometry\" topic has comprehensive treatment of the subject.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry (http://www.cde.ca.gov/ta/tg/sr/documents/cstrtqgeomapr15.pdf). Basic understanding of algebra is necessary. The \"geometry\" topic has comprehensive treatment of the subject.", "x_pos": 0.0, "node_slug": "geometry-2", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbc3ccbf0", "topic_page_url": "/math/test-prep/california-standards-test/geometry-2", "extended_slug": "math/test-prep/california-standards-test/geometry-2", "slug": "geometry-2", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ff58e03ae3451a2c4aa2b335411352b2cc206fce", "standalone_title": "California Standards Test: Geometry", "y_pos": 0.0, "current_revision_key": "ff58e03ae3451a2c4aa2b335411352b2cc206fce", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.", "x_pos": 0.0, "node_slug": "california-standards-test", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax638449e3", "topic_page_url": "/math/test-prep/california-standards-test", "extended_slug": "math/test-prep/california-standards-test", "slug": "california-standards-test", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4ddc506e16a370e6b040ca48601c70eeb8c19719", "standalone_title": "California Standards Test", "y_pos": 0.0, "current_revision_key": "4ddc506e16a370e6b040ca48601c70eeb8c19719", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/test-prep/iit-jee", "web_url": "", "ka_url": "http://www.khanacademy.org/math/test-prep/iit-jee", "translated_standalone_title": "IIT JEE Questions", "translated_title": "IIT JEE", "gplus_url": "", "id": "x859feb00", "old_key_name": "kTkSIVGFOIX5jmooBgYulvXa1iy96w44DThrU5c5", "hide": false, "title": "IIT JEE", "child_data": [{"kind": "Video", "id": 8187432}, {"kind": "Video", "id": 8187433}, {"kind": "Video", "id": 8187434}, {"kind": "Video", "id": 8187435}, {"kind": "Video", "id": 8187436}, {"kind": "Video", "id": 8187437}, {"kind": "Video", "id": 8187438}, {"kind": "Video", "id": 8187439}, {"kind": "Video", "id": 8187440}, {"kind": "Video", "id": 8187441}, {"kind": "Video", "id": 8187442}, {"kind": "Video", "id": 8187443}, {"kind": "Video", "id": 8187444}, {"kind": "Video", "id": 8187445}, {"kind": "Video", "id": 8187446}, {"kind": "Video", "id": 8187447}, {"kind": "Video", "id": 8187448}, {"kind": "Video", "id": 8187449}, {"kind": "Video", "id": 8187450}, {"kind": "Video", "id": 8187451}, {"kind": "Video", "id": 8187452}, {"kind": "Video", "id": 8187453}, {"kind": "Video", "id": 8187454}, {"kind": "Video", "id": 8187455}, {"kind": "Video", "id": 8187456}, {"kind": "Video", "id": 8187457}, {"kind": "Video", "id": 8187458}, {"kind": "Video", "id": 8187459}, {"kind": "Video", "id": 8187460}, {"kind": "Video", "id": 8187461}, {"kind": "Video", "id": 8187462}, {"kind": "Video", "id": 8187463}, {"kind": "Video", "id": 8187464}, {"kind": "Video", "id": 8187465}, {"kind": "Video", "id": 8187466}, {"kind": "Video", "id": 8187467}, {"kind": "Video", "id": 8187468}, {"kind": "Video", "id": 8187469}, {"kind": "Video", "id": 8187470}, {"kind": "Video", "id": 8187471}], "children": [{"translated_youtube_id": "X7GT9JKoAbo", "relative_url": "/video/iit-jee-trigonometry-problem-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Trigonometry, law, of, sines, cosines", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometry-problem-1", "duration": 913, "translated_title": "IIT JEE trigonometry problem 1", "translated_description_html": "2010 IIT JEE Paper I #29 Trigonometry problem", "id": "8187432", "description_html": "2010 IIT JEE Paper I #29 Trigonometry problem", "title": "IIT JEE trigonometry problem 1", "progress_key": "v8187432", "edit_slug": "edit/v/8187432", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper I #29 Trigonometry problem", "extra_properties": null, "node_slug": "v/iit-jee-trigonometry-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:45:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.mp4/X7GT9JKoAbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.mp4/X7GT9JKoAbo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X7GT9JKoAbo.m3u8/X7GT9JKoAbo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X7GT9JKoAbo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187432", "sha": "244322bf10bf7de094450f01115d60c3fb8ea9b5", "translated_description": "2010 IIT JEE Paper I #29 Trigonometry problem", "image_url": "https://img.youtube.com/vi/X7GT9JKoAbo/hqdefault.jpg", "youtube_id": "X7GT9JKoAbo", "content_kind": "Video", "readable_id": "iit-jee-trigonometry-problem-1"}, {"translated_youtube_id": "2u535-HVJ_o", "relative_url": "/video/iit-jee-perpendicular-planes--part-1", "has_questions": false, "keywords": "Perpendicular, Planes, normal, vector", "ka_url": "http://www.khanacademy.org/video/iit-jee-perpendicular-planes--part-1", "duration": 626, "translated_title": "IIT JEE perpendicular planes (part 1)", "translated_description_html": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1)", "id": "8187433", "description_html": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1)", "title": "IIT JEE perpendicular planes (part 1)", "progress_key": "v8187433", "edit_slug": "edit/v/8187433", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1)", "extra_properties": null, "node_slug": "v/iit-jee-perpendicular-planes--part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2u535-HVJ_o.mp4/2u535-HVJ_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2u535-HVJ_o.mp4/2u535-HVJ_o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2u535-HVJ_o.m3u8/2u535-HVJ_o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2u535-HVJ_o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187433", "sha": "70b68b0fa495e51e308912a671add755af781b52", "translated_description": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1)", "image_url": "https://img.youtube.com/vi/2u535-HVJ_o/hqdefault.jpg", "youtube_id": "2u535-HVJ_o", "content_kind": "Video", "readable_id": "iit-jee-perpendicular-planes--part-1"}, {"translated_youtube_id": "66pQLO--Ghk", "relative_url": "/video/iit-jee-perpendicular-plane--part-2", "has_questions": false, "keywords": "IIT, JEE, normal, vector, linear, algebra, orthogonal", "ka_url": "http://www.khanacademy.org/video/iit-jee-perpendicular-plane--part-2", "duration": 485, "translated_title": "IIT JEE perpendicular plane (part 2)", "translated_description_html": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2)", "id": "8187434", "description_html": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2)", "title": "IIT JEE perpendicular plane (part 2)", "progress_key": "v8187434", "edit_slug": "edit/v/8187434", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2)", "extra_properties": null, "node_slug": "v/iit-jee-perpendicular-plane--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/66pQLO--Ghk.mp4/66pQLO--Ghk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/66pQLO--Ghk.mp4/66pQLO--Ghk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/66pQLO--Ghk.m3u8/66pQLO--Ghk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=66pQLO--Ghk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187434", "sha": "e594f152c4aa7f43b6e6040cf8bbef8c1c688a4e", "translated_description": "2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2)", "image_url": "https://img.youtube.com/vi/66pQLO--Ghk/hqdefault.jpg", "youtube_id": "66pQLO--Ghk", "content_kind": "Video", "readable_id": "iit-jee-perpendicular-plane--part-2"}, {"translated_youtube_id": "bV_HSZ_W0nk", "relative_url": "/video/iit-jee-complex-root-probability--part-1", "has_questions": false, "keywords": "IIT, JEE, Complex, Root, Probability", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-root-probability--part-1", "duration": 823, "translated_title": "IIT JEE complex root probability (part 1)", "translated_description_html": "2010 Paper 1 problem 31 Math (part 1)", "id": "8187435", "description_html": "2010 Paper 1 problem 31 Math (part 1)", "title": "IIT JEE complex root probability (part 1)", "progress_key": "v8187435", "edit_slug": "edit/v/8187435", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 Paper 1 problem 31 Math (part 1)", "extra_properties": null, "node_slug": "v/iit-jee-complex-root-probability--part-1", "deleted": false, "backup_timestamp": "2013-09-21T10:38:51Z", "date_added": "2011-02-20T16:45:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bV_HSZ_W0nk.mp4/bV_HSZ_W0nk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bV_HSZ_W0nk.mp4/bV_HSZ_W0nk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bV_HSZ_W0nk.m3u8/bV_HSZ_W0nk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bV_HSZ_W0nk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187435", "sha": "99952e1c379760f5a58b78274a683418c96d04aa", "translated_description": "2010 Paper 1 problem 31 Math (part 1)", "image_url": "https://img.youtube.com/vi/bV_HSZ_W0nk/hqdefault.jpg", "youtube_id": "bV_HSZ_W0nk", "content_kind": "Video", "readable_id": "iit-jee-complex-root-probability--part-1"}, {"translated_youtube_id": "S3KMyYYGuPE", "relative_url": "/video/iit-jee-complex-root-probability--part-2", "has_questions": false, "keywords": "IIT, JEE, Complex, Root, Probability", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-root-probability--part-2", "duration": 504, "translated_title": "IIT JEE complex root probability (part 2)", "translated_description_html": "2010 Paper 1 problem 31 Math (part 2).avi", "id": "8187436", "description_html": "2010 Paper 1 problem 31 Math (part 2).avi", "title": "IIT JEE complex root probability (part 2)", "progress_key": "v8187436", "edit_slug": "edit/v/8187436", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 Paper 1 problem 31 Math (part 2).avi", "extra_properties": null, "node_slug": "v/iit-jee-complex-root-probability--part-2", "deleted": false, "backup_timestamp": "2013-09-21T10:38:51Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S3KMyYYGuPE.mp4/S3KMyYYGuPE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S3KMyYYGuPE.mp4/S3KMyYYGuPE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S3KMyYYGuPE.m3u8/S3KMyYYGuPE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S3KMyYYGuPE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187436", "sha": "3677a9b9010832d2d29926f728a6b475b07d87f3", "translated_description": "2010 Paper 1 problem 31 Math (part 2).avi", "image_url": "https://img.youtube.com/vi/S3KMyYYGuPE/hqdefault.jpg", "youtube_id": "S3KMyYYGuPE", "content_kind": "Video", "readable_id": "iit-jee-complex-root-probability--part-2"}, {"translated_youtube_id": "GDXyGy5TjnI", "relative_url": "/video/iit-jee-position-vectors", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, problem, 32, Position, Vectors, rhombus, parallelogram", "ka_url": "http://www.khanacademy.org/video/iit-jee-position-vectors", "duration": 403, "translated_title": "IIT JEE position vectors", "translated_description_html": "2010 IIT JEE Paper 1 problem 32 Position Vectors", "id": "8187437", "description_html": "2010 IIT JEE Paper 1 problem 32 Position Vectors", "title": "IIT JEE position vectors", "progress_key": "v8187437", "edit_slug": "edit/v/8187437", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 problem 32 Position Vectors", "extra_properties": null, "node_slug": "v/iit-jee-position-vectors", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GDXyGy5TjnI.mp4/GDXyGy5TjnI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GDXyGy5TjnI.mp4/GDXyGy5TjnI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GDXyGy5TjnI.m3u8/GDXyGy5TjnI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GDXyGy5TjnI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187437", "sha": "94cb511d618a6ddfa20e29c1db70cf61a413fba6", "translated_description": "2010 IIT JEE Paper 1 problem 32 Position Vectors", "image_url": "https://img.youtube.com/vi/GDXyGy5TjnI/hqdefault.jpg", "youtube_id": "GDXyGy5TjnI", "content_kind": "Video", "readable_id": "iit-jee-position-vectors"}, {"translated_youtube_id": "pnwrNnZGVEw", "relative_url": "/video/iit-jee-integral-limit", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, #34, Integral, Limit, L'Hopital's, rule", "ka_url": "http://www.khanacademy.org/video/iit-jee-integral-limit", "duration": 425, "translated_title": "IIT JEE integral limit", "translated_description_html": "2010 IIT JEE Paper 1 #34 Integral Limit", "id": "8187438", "description_html": "2010 IIT JEE Paper 1 #34 Integral Limit", "title": "IIT JEE integral limit", "progress_key": "v8187438", "edit_slug": "edit/v/8187438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 #34 Integral Limit", "extra_properties": null, "node_slug": "v/iit-jee-integral-limit", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pnwrNnZGVEw.mp4/pnwrNnZGVEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pnwrNnZGVEw.mp4/pnwrNnZGVEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pnwrNnZGVEw.m3u8/pnwrNnZGVEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pnwrNnZGVEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187438", "sha": "a138c368b7e02246b1cccc72022a05921e1d1b85", "translated_description": "2010 IIT JEE Paper 1 #34 Integral Limit", "image_url": "https://img.youtube.com/vi/pnwrNnZGVEw/hqdefault.jpg", "youtube_id": "pnwrNnZGVEw", "content_kind": "Video", "readable_id": "iit-jee-integral-limit"}, {"translated_youtube_id": "zs5LM7dxyTo", "relative_url": "/video/iit-jee-algebraic-manipulation", "has_questions": false, "keywords": "IIT, JEE, Algebraic, Manipulation, Roots, Complex, quadratic", "ka_url": "http://www.khanacademy.org/video/iit-jee-algebraic-manipulation", "duration": 791, "translated_title": "IIT JEE algebraic manipulation", "translated_description_html": "2010 Paper 1 problem 35 Algebraic Manipulation", "id": "8187439", "description_html": "2010 Paper 1 problem 35 Algebraic Manipulation", "title": "IIT JEE algebraic manipulation", "progress_key": "v8187439", "edit_slug": "edit/v/8187439", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 Paper 1 problem 35 Algebraic Manipulation", "extra_properties": null, "node_slug": "v/iit-jee-algebraic-manipulation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zs5LM7dxyTo.mp4/zs5LM7dxyTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zs5LM7dxyTo.mp4/zs5LM7dxyTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zs5LM7dxyTo.m3u8/zs5LM7dxyTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zs5LM7dxyTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187439", "sha": "2d18fdd39d5d2ec75378105e033b473e6c94daae", "translated_description": "2010 Paper 1 problem 35 Algebraic Manipulation", "image_url": "https://img.youtube.com/vi/zs5LM7dxyTo/hqdefault.jpg", "youtube_id": "zs5LM7dxyTo", "content_kind": "Video", "readable_id": "iit-jee-algebraic-manipulation"}, {"translated_youtube_id": "2E_DB5VuAoo", "relative_url": "/video/iit-jee-function-maxima", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, problem, 36, Function, Maxima", "ka_url": "http://www.khanacademy.org/video/iit-jee-function-maxima", "duration": 569, "translated_title": "IIT JEE function maxima", "translated_description_html": "2010 IIT JEE Paper 1 problem 36 Function Maxima", "id": "8187440", "description_html": "2010 IIT JEE Paper 1 problem 36 Function Maxima", "title": "IIT JEE function maxima", "progress_key": "v8187440", "edit_slug": "edit/v/8187440", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 problem 36 Function Maxima", "extra_properties": null, "node_slug": "v/iit-jee-function-maxima", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2E_DB5VuAoo.mp4/2E_DB5VuAoo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2E_DB5VuAoo.mp4/2E_DB5VuAoo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2E_DB5VuAoo.m3u8/2E_DB5VuAoo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2E_DB5VuAoo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187440", "sha": "7b3778b2a14f5d092bacc6f09598d428072640e7", "translated_description": "2010 IIT JEE Paper 1 problem 36 Function Maxima", "image_url": "https://img.youtube.com/vi/2E_DB5VuAoo/hqdefault.jpg", "youtube_id": "2E_DB5VuAoo", "content_kind": "Video", "readable_id": "iit-jee-function-maxima"}, {"translated_youtube_id": "pdXcf5ZWHf0", "relative_url": "/video/iit-jee-diameter-slope", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, problem, 37, Diameter, Slope", "ka_url": "http://www.khanacademy.org/video/iit-jee-diameter-slope", "duration": 468, "translated_title": "IIT JEE diameter slope", "translated_description_html": "2010 IIT JEE Paper 1 problem 37 Diameter Slope", "id": "8187441", "description_html": "2010 IIT JEE Paper 1 problem 37 Diameter Slope", "title": "IIT JEE diameter slope", "progress_key": "v8187441", "edit_slug": "edit/v/8187441", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 problem 37 Diameter Slope", "extra_properties": null, "node_slug": "v/iit-jee-diameter-slope", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pdXcf5ZWHf0.mp4/pdXcf5ZWHf0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pdXcf5ZWHf0.mp4/pdXcf5ZWHf0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pdXcf5ZWHf0.m3u8/pdXcf5ZWHf0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pdXcf5ZWHf0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187441", "sha": "c642a68beb8c8a52d69850d42f5246b2e0e22464", "translated_description": "2010 IIT JEE Paper 1 problem 37 Diameter Slope", "image_url": "https://img.youtube.com/vi/pdXcf5ZWHf0/hqdefault.jpg", "youtube_id": "pdXcf5ZWHf0", "content_kind": "Video", "readable_id": "iit-jee-diameter-slope"}, {"translated_youtube_id": "dOxXl_6BDQc", "relative_url": "/video/iit-jee-hairy-trig-and-algebra--part-1", "has_questions": false, "keywords": "IIT, JEE, Trigonometry, law, of, cosines, quartic, roots, fourth, degree, polynomial", "ka_url": "http://www.khanacademy.org/video/iit-jee-hairy-trig-and-algebra--part-1", "duration": 610, "translated_title": "IIT JEE hairy trig and algebra (part 1)", "translated_description_html": "2010 Paper 1 problem 38 Hairy Trig and Algebra", "id": "8187442", "description_html": "2010 Paper 1 problem 38 Hairy Trig and Algebra", "title": "IIT JEE hairy trig and algebra (part 1)", "progress_key": "v8187442", "edit_slug": "edit/v/8187442", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 Paper 1 problem 38 Hairy Trig and Algebra", "extra_properties": {"original_url": ""}, "node_slug": "v/iit-jee-hairy-trig-and-algebra--part-1", "deleted": false, "backup_timestamp": "2013-09-21T10:38:50Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dOxXl_6BDQc.mp4/dOxXl_6BDQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dOxXl_6BDQc.mp4/dOxXl_6BDQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dOxXl_6BDQc.m3u8/dOxXl_6BDQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dOxXl_6BDQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187442", "sha": "58d83f49f6b73bdbaab644a1e0deda9ae27fe268", "translated_description": "2010 Paper 1 problem 38 Hairy Trig and Algebra", "image_url": "https://img.youtube.com/vi/dOxXl_6BDQc/hqdefault.jpg", "youtube_id": "dOxXl_6BDQc", "content_kind": "Video", "readable_id": "iit-jee-hairy-trig-and-algebra--part-1"}, {"translated_youtube_id": "6t9ogglXNIM", "relative_url": "/video/iit-jee-hairy-trig-and-algebra--part-2", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, #38, Hairy, Trig, and, Algebra, (Part, 2)", "ka_url": "http://www.khanacademy.org/video/iit-jee-hairy-trig-and-algebra--part-2", "duration": 594, "translated_title": "IIT JEE hairy trig and algebra (part 2)", "translated_description_html": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2)", "id": "8187443", "description_html": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2)", "title": "IIT JEE hairy trig and algebra (part 2)", "progress_key": "v8187443", "edit_slug": "edit/v/8187443", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2)", "extra_properties": null, "node_slug": "v/iit-jee-hairy-trig-and-algebra--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6t9ogglXNIM.mp4/6t9ogglXNIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6t9ogglXNIM.mp4/6t9ogglXNIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6t9ogglXNIM.m3u8/6t9ogglXNIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6t9ogglXNIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187443", "sha": "1e53a8d3d63f95228dfc2f5544797fd241c73d95", "translated_description": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2)", "image_url": "https://img.youtube.com/vi/6t9ogglXNIM/hqdefault.jpg", "youtube_id": "6t9ogglXNIM", "content_kind": "Video", "readable_id": "iit-jee-hairy-trig-and-algebra--part-2"}, {"translated_youtube_id": "KVRpXvrsSKM", "relative_url": "/video/iit-jee-hairy-trig-and-algebra--part-3", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, #38, Hairy, Trig, and, Algebra, (Part, 3)", "ka_url": "http://www.khanacademy.org/video/iit-jee-hairy-trig-and-algebra--part-3", "duration": 388, "translated_title": "IIT JEE hairy trig and algebra (part 3)", "translated_description_html": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3)", "id": "8187444", "description_html": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3)", "title": "IIT JEE hairy trig and algebra (part 3)", "progress_key": "v8187444", "edit_slug": "edit/v/8187444", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3)", "extra_properties": null, "node_slug": "v/iit-jee-hairy-trig-and-algebra--part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KVRpXvrsSKM.mp4/KVRpXvrsSKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KVRpXvrsSKM.mp4/KVRpXvrsSKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KVRpXvrsSKM.m3u8/KVRpXvrsSKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KVRpXvrsSKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187444", "sha": "43a14c84b7981998d520bf4c46d4a3df8c693618", "translated_description": "2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3)", "image_url": "https://img.youtube.com/vi/KVRpXvrsSKM/hqdefault.jpg", "youtube_id": "KVRpXvrsSKM", "content_kind": "Video", "readable_id": "iit-jee-hairy-trig-and-algebra--part-3"}, {"translated_youtube_id": "_5ei_I02huY", "relative_url": "/video/iit-jee-complex-numbers--part-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 1)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-1", "duration": 441, "translated_title": "IIT JEE complex numbers (part 1)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "id": "8187445", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "title": "IIT JEE complex numbers (part 1)", "progress_key": "v8187445", "edit_slug": "edit/v/8187445", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:45:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.mp4/_5ei_I02huY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.mp4/_5ei_I02huY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_5ei_I02huY.m3u8/_5ei_I02huY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_5ei_I02huY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187445", "sha": "22189db7ed4280acf53eae3ba73e0fe9f92e77f3", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)", "image_url": "https://img.youtube.com/vi/_5ei_I02huY/hqdefault.jpg", "youtube_id": "_5ei_I02huY", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-1"}, {"translated_youtube_id": "pQwoBOpVoWw", "relative_url": "/video/iit-jee-complex-numbers--part-2", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 2)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-2", "duration": 446, "translated_title": "IIT JEE complex numbers (part 2)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "id": "8187446", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "title": "IIT JEE complex numbers (part 2)", "progress_key": "v8187446", "edit_slug": "edit/v/8187446", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.mp4/pQwoBOpVoWw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.mp4/pQwoBOpVoWw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pQwoBOpVoWw.m3u8/pQwoBOpVoWw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pQwoBOpVoWw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187446", "sha": "a3f6caf0b3267ef2e1ff02f64df7b696c8e35a16", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)", "image_url": "https://img.youtube.com/vi/pQwoBOpVoWw/hqdefault.jpg", "youtube_id": "pQwoBOpVoWw", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-2"}, {"translated_youtube_id": "FwA_UZkI-JM", "relative_url": "/video/iit-jee-complex-numbers--part-3", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 39, Complex, Numbers, (part, 3)", "ka_url": "http://www.khanacademy.org/video/iit-jee-complex-numbers--part-3", "duration": 189, "translated_title": "IIT JEE complex numbers (part 3)", "translated_description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "id": "8187447", "description_html": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "title": "IIT JEE complex numbers (part 3)", "progress_key": "v8187447", "edit_slug": "edit/v/8187447", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "extra_properties": null, "node_slug": "v/iit-jee-complex-numbers--part-3", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.mp4/FwA_UZkI-JM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.mp4/FwA_UZkI-JM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FwA_UZkI-JM.m3u8/FwA_UZkI-JM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FwA_UZkI-JM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187447", "sha": "981b06cb1588b6c602af6d1ae75710aaac72e9de", "translated_description": "2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)", "image_url": "https://img.youtube.com/vi/FwA_UZkI-JM/hqdefault.jpg", "youtube_id": "FwA_UZkI-JM", "content_kind": "Video", "readable_id": "iit-jee-complex-numbers--part-3"}, {"translated_youtube_id": "FIt1RNiCO6U", "relative_url": "/video/iit-jee-differentiability-and-boundedness", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 40, Differentiability, and, Boundedness, calculus, integral", "ka_url": "http://www.khanacademy.org/video/iit-jee-differentiability-and-boundedness", "duration": 840, "translated_title": "IIT JEE differentiability and boundedness", "translated_description_html": "2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness", "id": "8187448", "description_html": "2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness", "title": "IIT JEE differentiability and boundedness", "progress_key": "v8187448", "edit_slug": "edit/v/8187448", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness", "extra_properties": null, "node_slug": "v/iit-jee-differentiability-and-boundedness", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FIt1RNiCO6U.mp4/FIt1RNiCO6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FIt1RNiCO6U.mp4/FIt1RNiCO6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FIt1RNiCO6U.m3u8/FIt1RNiCO6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FIt1RNiCO6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187448", "sha": "a179083cce93d39979212376be3a47e359a2d48a", "translated_description": "2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness", "image_url": "https://img.youtube.com/vi/FIt1RNiCO6U/hqdefault.jpg", "youtube_id": "FIt1RNiCO6U", "content_kind": "Video", "readable_id": "iit-jee-differentiability-and-boundedness"}, {"translated_youtube_id": "1-5sTDLrcp4", "relative_url": "/video/iit-jee-integral-with-binomial-expansion", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 41, Integral, with, Binomial, Expansion, and, Algebraic, Long, Division", "ka_url": "http://www.khanacademy.org/video/iit-jee-integral-with-binomial-expansion", "duration": 824, "translated_title": "IIT JEE integral with binomial expansion", "translated_description_html": "2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division", "id": "8187449", "description_html": "2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division", "title": "IIT JEE integral with binomial expansion", "progress_key": "v8187449", "edit_slug": "edit/v/8187449", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division", "extra_properties": null, "node_slug": "v/iit-jee-integral-with-binomial-expansion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1-5sTDLrcp4.mp4/1-5sTDLrcp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1-5sTDLrcp4.mp4/1-5sTDLrcp4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1-5sTDLrcp4.m3u8/1-5sTDLrcp4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1-5sTDLrcp4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187449", "sha": "b2298528d25e2dc92f25ec4510c50c4c3d5cda44", "translated_description": "2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division", "image_url": "https://img.youtube.com/vi/1-5sTDLrcp4/hqdefault.jpg", "youtube_id": "1-5sTDLrcp4", "content_kind": "Video", "readable_id": "iit-jee-integral-with-binomial-expansion"}, {"translated_youtube_id": "G6OoxGmJzuc", "relative_url": "/video/iit-jee-symmetric-and-skew-symmetric-matrices", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 42, Symmetric, and, Skew-Symmetric, Matrices", "ka_url": "http://www.khanacademy.org/video/iit-jee-symmetric-and-skew-symmetric-matrices", "duration": 719, "translated_title": "IIT JEE symmetric and skew-symmetric matrices", "translated_description_html": "2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices", "id": "8187450", "description_html": "2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices", "title": "IIT JEE symmetric and skew-symmetric matrices", "progress_key": "v8187450", "edit_slug": "edit/v/8187450", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices", "extra_properties": null, "node_slug": "v/iit-jee-symmetric-and-skew-symmetric-matrices", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G6OoxGmJzuc.mp4/G6OoxGmJzuc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G6OoxGmJzuc.mp4/G6OoxGmJzuc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G6OoxGmJzuc.m3u8/G6OoxGmJzuc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G6OoxGmJzuc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187450", "sha": "ff5791def8f9e58914e66186e834775b5f4756b3", "translated_description": "2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices", "image_url": "https://img.youtube.com/vi/G6OoxGmJzuc/hqdefault.jpg", "youtube_id": "G6OoxGmJzuc", "content_kind": "Video", "readable_id": "iit-jee-symmetric-and-skew-symmetric-matrices"}, {"translated_youtube_id": "5S03uylNn-Q", "relative_url": "/video/iit-jee-trace-and-determinant", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 43, Trace, and, Determinant", "ka_url": "http://www.khanacademy.org/video/iit-jee-trace-and-determinant", "duration": 559, "translated_title": "IIT JEE trace and determinant", "translated_description_html": "2010 IIT JEE Paper 1 Problem 43 Trace and Determinant", "id": "8187451", "description_html": "2010 IIT JEE Paper 1 Problem 43 Trace and Determinant", "title": "IIT JEE trace and determinant", "progress_key": "v8187451", "edit_slug": "edit/v/8187451", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 43 Trace and Determinant", "extra_properties": null, "node_slug": "v/iit-jee-trace-and-determinant", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5S03uylNn-Q.mp4/5S03uylNn-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5S03uylNn-Q.mp4/5S03uylNn-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5S03uylNn-Q.m3u8/5S03uylNn-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5S03uylNn-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187451", "sha": "9bb786b29af59c53adcd67da27b8acb7a0963f04", "translated_description": "2010 IIT JEE Paper 1 Problem 43 Trace and Determinant", "image_url": "https://img.youtube.com/vi/5S03uylNn-Q/hqdefault.jpg", "youtube_id": "5S03uylNn-Q", "content_kind": "Video", "readable_id": "iit-jee-trace-and-determinant"}, {"translated_youtube_id": "9vlsBN3pFE0", "relative_url": "/video/iit-jee-divisible-determinants", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 44, Divisible, Determinants", "ka_url": "http://www.khanacademy.org/video/iit-jee-divisible-determinants", "duration": 494, "translated_title": "IIT JEE divisible determinants", "translated_description_html": "2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2", "id": "8187452", "description_html": "2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2", "title": "IIT JEE divisible determinants", "progress_key": "v8187452", "edit_slug": "edit/v/8187452", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2", "extra_properties": null, "node_slug": "v/iit-jee-divisible-determinants", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9vlsBN3pFE0.mp4/9vlsBN3pFE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9vlsBN3pFE0.mp4/9vlsBN3pFE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9vlsBN3pFE0.m3u8/9vlsBN3pFE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9vlsBN3pFE0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187452", "sha": "aaacf1b647ff0247dec1927ef66cdada53f6e0e2", "translated_description": "2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2", "image_url": "https://img.youtube.com/vi/9vlsBN3pFE0/hqdefault.jpg", "youtube_id": "9vlsBN3pFE0", "content_kind": "Video", "readable_id": "iit-jee-divisible-determinants"}, {"translated_youtube_id": "6g3DPg2HqGw", "relative_url": "/video/iit-jee-circle-hyperbola-intersection", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 46, Circle, Hyperbola, Intersection", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-intersection", "duration": 764, "translated_title": "IIT JEE circle hyperbola intersection", "translated_description_html": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "id": "8187453", "description_html": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "title": "IIT JEE circle hyperbola intersection", "progress_key": "v8187453", "edit_slug": "edit/v/8187453", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-intersection", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.mp4/6g3DPg2HqGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.mp4/6g3DPg2HqGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6g3DPg2HqGw.m3u8/6g3DPg2HqGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6g3DPg2HqGw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187453", "sha": "637648a5e0d186142503c4aa35a83e4451f9f78d", "translated_description": "2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection", "image_url": "https://img.youtube.com/vi/6g3DPg2HqGw/hqdefault.jpg", "youtube_id": "6g3DPg2HqGw", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-intersection"}, {"translated_youtube_id": "MhLfun2Vask", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-1", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-1", "duration": 376, "translated_title": "IIT JEE circle hyperbola common tangent part 1", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "id": "8187454", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "title": "IIT JEE circle hyperbola common tangent part 1", "progress_key": "v8187454", "edit_slug": "edit/v/8187454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.mp4/MhLfun2Vask.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.mp4/MhLfun2Vask.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MhLfun2Vask.m3u8/MhLfun2Vask.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MhLfun2Vask&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187454", "sha": "af4d21446e5221ac04ba5fbf393277e6564b36c5", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan", "image_url": "https://img.youtube.com/vi/MhLfun2Vask/hqdefault.jpg", "youtube_id": "MhLfun2Vask", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-1"}, {"translated_youtube_id": "0imeUgSxR10", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-2", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-2", "duration": 645, "translated_title": "IIT JEE circle hyperbola common tangent part 2", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "id": "8187455", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "title": "IIT JEE circle hyperbola common tangent part 2", "progress_key": "v8187455", "edit_slug": "edit/v/8187455", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.mp4/0imeUgSxR10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.mp4/0imeUgSxR10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0imeUgSxR10.m3u8/0imeUgSxR10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0imeUgSxR10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187455", "sha": "94709de2c0bc8499cfbf2b1bb831f54d50b6fe66", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2", "image_url": "https://img.youtube.com/vi/0imeUgSxR10/hqdefault.jpg", "youtube_id": "0imeUgSxR10", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-2"}, {"translated_youtube_id": "RomnHMWSLoE", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-3", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-3", "duration": 535, "translated_title": "IIT JEE circle hyperbola common tangent part 3", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "id": "8187456", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "title": "IIT JEE circle hyperbola common tangent part 3", "progress_key": "v8187456", "edit_slug": "edit/v/8187456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.mp4/RomnHMWSLoE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.mp4/RomnHMWSLoE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RomnHMWSLoE.m3u8/RomnHMWSLoE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RomnHMWSLoE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187456", "sha": "4525ce6c4d479513ba3f45e6844687c575863977", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3", "image_url": "https://img.youtube.com/vi/RomnHMWSLoE/hqdefault.jpg", "youtube_id": "RomnHMWSLoE", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-3"}, {"translated_youtube_id": "eGo8C2Jshzs", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-4", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-4", "duration": 636, "translated_title": "IIT JEE circle hyperbola common tangent part 4", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "id": "8187457", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "title": "IIT JEE circle hyperbola common tangent part 4", "progress_key": "v8187457", "edit_slug": "edit/v/8187457", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.mp4/eGo8C2Jshzs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.mp4/eGo8C2Jshzs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eGo8C2Jshzs.m3u8/eGo8C2Jshzs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eGo8C2Jshzs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187457", "sha": "5c50cc8a480d51e5a44a8632fde25632233bd4e1", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4", "image_url": "https://img.youtube.com/vi/eGo8C2Jshzs/hqdefault.jpg", "youtube_id": "eGo8C2Jshzs", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-4"}, {"translated_youtube_id": "rPoqpQcgNv4", "relative_url": "/video/iit-jee-circle-hyperbola-common-tangent-part-5", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 45, Circle, Hyperbola, Common, Tangent, Part", "ka_url": "http://www.khanacademy.org/video/iit-jee-circle-hyperbola-common-tangent-part-5", "duration": 737, "translated_title": "IIT JEE circle hyperbola common tangent part 5", "translated_description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "id": "8187458", "description_html": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "title": "IIT JEE circle hyperbola common tangent part 5", "progress_key": "v8187458", "edit_slug": "edit/v/8187458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "extra_properties": null, "node_slug": "v/iit-jee-circle-hyperbola-common-tangent-part-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.mp4/rPoqpQcgNv4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.mp4/rPoqpQcgNv4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rPoqpQcgNv4.m3u8/rPoqpQcgNv4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rPoqpQcgNv4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187458", "sha": "b87df32e3de6eeb73d7c21ea0e816e218d61bd36", "translated_description": "2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5", "image_url": "https://img.youtube.com/vi/rPoqpQcgNv4/hqdefault.jpg", "youtube_id": "rPoqpQcgNv4", "content_kind": "Video", "readable_id": "iit-jee-circle-hyperbola-common-tangent-part-5"}, {"translated_youtube_id": "EjtjdJZ2x8w", "relative_url": "/video/iit-jee-trigonometric-constraints", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 47, Trigonometric, Constraints", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometric-constraints", "duration": 769, "translated_title": "IIT JEE trigonometric constraints", "translated_description_html": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "id": "8187459", "description_html": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "title": "IIT JEE trigonometric constraints", "progress_key": "v8187459", "edit_slug": "edit/v/8187459", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "extra_properties": null, "node_slug": "v/iit-jee-trigonometric-constraints", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.mp4/EjtjdJZ2x8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.mp4/EjtjdJZ2x8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EjtjdJZ2x8w.m3u8/EjtjdJZ2x8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EjtjdJZ2x8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187459", "sha": "9cb3ed6c99d1d377309f16be6d6c51d5535cef32", "translated_description": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", "image_url": "https://img.youtube.com/vi/EjtjdJZ2x8w/hqdefault.jpg", "youtube_id": "EjtjdJZ2x8w", "content_kind": "Video", "readable_id": "iit-jee-trigonometric-constraints"}, {"translated_youtube_id": "tzR9jUCSniQ", "relative_url": "/video/iit-jee-trigonometric-maximum", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 48, Trigonometric, Maximum", "ka_url": "http://www.khanacademy.org/video/iit-jee-trigonometric-maximum", "duration": 594, "translated_title": "IIT JEE trigonometric maximum", "translated_description_html": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "id": "8187460", "description_html": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "title": "IIT JEE trigonometric maximum", "progress_key": "v8187460", "edit_slug": "edit/v/8187460", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "extra_properties": null, "node_slug": "v/iit-jee-trigonometric-maximum", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.mp4/tzR9jUCSniQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.mp4/tzR9jUCSniQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tzR9jUCSniQ.m3u8/tzR9jUCSniQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tzR9jUCSniQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187460", "sha": "6574e7c445b4d4451a85927fb78667244dd08095", "translated_description": "2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum", "image_url": "https://img.youtube.com/vi/tzR9jUCSniQ/hqdefault.jpg", "youtube_id": "tzR9jUCSniQ", "content_kind": "Video", "readable_id": "iit-jee-trigonometric-maximum"}, {"translated_youtube_id": "b7JTVLc_aMk", "relative_url": "/video/vector-triple-product-expansion--very-optional", "has_questions": false, "keywords": "vector, cross, product, lagrange, expansion, triple", "ka_url": "http://www.khanacademy.org/video/vector-triple-product-expansion--very-optional", "duration": 865, "translated_title": "Vector triple product expansion (very optional)", "translated_description_html": "A shortcut for having to evaluate the cross product of three vectors", "id": "8187461", "description_html": "A shortcut for having to evaluate the cross product of three vectors", "title": "Vector triple product expansion (very optional)", "progress_key": "v8187461", "edit_slug": "edit/v/8187461", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A shortcut for having to evaluate the cross product of three vectors", "extra_properties": null, "node_slug": "v/vector-triple-product-expansion--very-optional", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.mp4/b7JTVLc_aMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.mp4/b7JTVLc_aMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b7JTVLc_aMk.m3u8/b7JTVLc_aMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b7JTVLc_aMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187461", "sha": "33d30d8dac01d7ee3ed3d31c00d4bfe0eca69a00", "translated_description": "A shortcut for having to evaluate the cross product of three vectors", "image_url": "https://img.youtube.com/vi/b7JTVLc_aMk/hqdefault.jpg", "youtube_id": "b7JTVLc_aMk", "content_kind": "Video", "readable_id": "vector-triple-product-expansion--very-optional"}, {"translated_youtube_id": "rndex9FCIdo", "relative_url": "/video/iit-jee-lagrange-s-formula", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 49, Lagrange's, Formula", "ka_url": "http://www.khanacademy.org/video/iit-jee-lagrange-s-formula", "duration": 690, "translated_title": "IIT JEE lagrange's formula", "translated_description_html": "2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula", "id": "8187462", "description_html": "2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula", "title": "IIT JEE lagrange's formula", "progress_key": "v8187462", "edit_slug": "edit/v/8187462", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula", "extra_properties": null, "node_slug": "v/iit-jee-lagrange-s-formula", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rndex9FCIdo.mp4/rndex9FCIdo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rndex9FCIdo.mp4/rndex9FCIdo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rndex9FCIdo.m3u8/rndex9FCIdo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rndex9FCIdo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187462", "sha": "b1901c83f5cc50cff81987c1d5ba469ce24f746b", "translated_description": "2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula", "image_url": "https://img.youtube.com/vi/rndex9FCIdo/hqdefault.jpg", "youtube_id": "rndex9FCIdo", "content_kind": "Video", "readable_id": "iit-jee-lagrange-s-formula"}, {"translated_youtube_id": "c_8QQbVQKU0", "relative_url": "/video/tangent-line-hyperbola-relationship--very-optional", "has_questions": false, "keywords": "hyperbola, tangent, line, conic, section", "ka_url": "http://www.khanacademy.org/video/tangent-line-hyperbola-relationship--very-optional", "duration": 604, "translated_title": "Tangent line hyperbola relationship (very optional)", "translated_description_html": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "id": "8187463", "description_html": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "title": "Tangent line hyperbola relationship (very optional)", "progress_key": "v8187463", "edit_slug": "edit/v/8187463", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "extra_properties": null, "node_slug": "v/tangent-line-hyperbola-relationship--very-optional", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.mp4/c_8QQbVQKU0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.mp4/c_8QQbVQKU0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c_8QQbVQKU0.m3u8/c_8QQbVQKU0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c_8QQbVQKU0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187463", "sha": "f9fada2980827780c1e405e5bd0f142d82fb2193", "translated_description": "How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video)", "image_url": "https://img.youtube.com/vi/c_8QQbVQKU0/hqdefault.jpg", "youtube_id": "c_8QQbVQKU0", "content_kind": "Video", "readable_id": "tangent-line-hyperbola-relationship--very-optional"}, {"translated_youtube_id": "4ES_vbSJ7LU", "relative_url": "/video/2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, 1, Problem, 50, Hyperbola, Eccentricity", "ka_url": "http://www.khanacademy.org/video/2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity", "duration": 900, "translated_title": "2010 IIT JEE Paper 1 Problem 50: Hyperbola eccentricity", "translated_description_html": null, "id": "8187464", "description_html": null, "title": "2010 IIT JEE Paper 1 Problem 50: Hyperbola eccentricity", "progress_key": "v8187464", "edit_slug": "edit/v/8187464", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": null, "extra_properties": null, "node_slug": "v/2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.mp4/4ES_vbSJ7LU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.mp4/4ES_vbSJ7LU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.m3u8/4ES_vbSJ7LU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4ES_vbSJ7LU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187464", "sha": "5211eef96ca2810f1c25716b1b2fefa6ae36b60e", "translated_description": null, "image_url": "https://img.youtube.com/vi/4ES_vbSJ7LU/hqdefault.jpg", "youtube_id": "4ES_vbSJ7LU", "content_kind": "Video", "readable_id": "2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity"}, {"translated_youtube_id": "gw-4wltP5tY", "relative_url": "/video/normal-vector-from-plane-equation", "has_questions": false, "keywords": "linear, algebra, normal, vector, equation, plane", "ka_url": "http://www.khanacademy.org/video/normal-vector-from-plane-equation", "duration": 598, "translated_title": "Normal vector from plane equation", "translated_description_html": "Figuring out a normal vector to a plane from its equation", "id": "8187465", "description_html": "Figuring out a normal vector to a plane from its equation", "title": "Normal vector from plane equation", "progress_key": "v8187465", "edit_slug": "edit/v/8187465", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out a normal vector to a plane from its equation", "extra_properties": null, "node_slug": "v/normal-vector-from-plane-equation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.mp4/gw-4wltP5tY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.mp4/gw-4wltP5tY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gw-4wltP5tY.m3u8/gw-4wltP5tY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gw-4wltP5tY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187465", "sha": "0d77b042698541b10ee309229db1692b3c7e0971", "translated_description": "Figuring out a normal vector to a plane from its equation", "image_url": "https://img.youtube.com/vi/gw-4wltP5tY/hqdefault.jpg", "youtube_id": "gw-4wltP5tY", "content_kind": "Video", "readable_id": "normal-vector-from-plane-equation"}, {"translated_youtube_id": "7rIFO8hct9g", "relative_url": "/video/point-distance-to-plane", "has_questions": false, "keywords": "linear, algebra, point, plane, distance, normal, vector", "ka_url": "http://www.khanacademy.org/video/point-distance-to-plane", "duration": 732, "translated_title": "Point distance to plane", "translated_description_html": "Distance between a point and a plane in three dimensions", "id": "8187466", "description_html": "Distance between a point and a plane in three dimensions", "title": "Point distance to plane", "progress_key": "v8187466", "edit_slug": "edit/v/8187466", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Distance between a point and a plane in three dimensions", "extra_properties": null, "node_slug": "v/point-distance-to-plane", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.mp4/7rIFO8hct9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.mp4/7rIFO8hct9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7rIFO8hct9g.m3u8/7rIFO8hct9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7rIFO8hct9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187466", "sha": "d027440caf851f805eba2f473d77eaf75132637d", "translated_description": "Distance between a point and a plane in three dimensions", "image_url": "https://img.youtube.com/vi/7rIFO8hct9g/hqdefault.jpg", "youtube_id": "7rIFO8hct9g", "content_kind": "Video", "readable_id": "point-distance-to-plane"}, {"translated_youtube_id": "v8plb6V8BQo", "relative_url": "/video/distance-between-planes", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 51, Distance, Between, Planes", "ka_url": "http://www.khanacademy.org/video/distance-between-planes", "duration": 885, "translated_title": "Distance between planes", "translated_description_html": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "id": "8187467", "description_html": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "title": "Distance between planes", "progress_key": "v8187467", "edit_slug": "edit/v/8187467", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "extra_properties": null, "node_slug": "v/distance-between-planes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.mp4/v8plb6V8BQo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.mp4/v8plb6V8BQo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v8plb6V8BQo.m3u8/v8plb6V8BQo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v8plb6V8BQo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187467", "sha": "088c48e460607db6e832cf6451cc3dd93d15b5d1", "translated_description": "2010 IIT JEE Paper 1 Problem 51 Distance Between Planes", "image_url": "https://img.youtube.com/vi/v8plb6V8BQo/hqdefault.jpg", "youtube_id": "v8plb6V8BQo", "content_kind": "Video", "readable_id": "distance-between-planes"}, {"translated_youtube_id": "E7OkUomRq1Q", "relative_url": "/video/complex-determinant-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 53, Complex, Determinant", "ka_url": "http://www.khanacademy.org/video/complex-determinant-example", "duration": 778, "translated_title": "Complex determinant example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "id": "8187468", "description_html": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "title": "Complex determinant example", "progress_key": "v8187468", "edit_slug": "edit/v/8187468", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "extra_properties": null, "node_slug": "v/complex-determinant-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.mp4/E7OkUomRq1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.mp4/E7OkUomRq1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E7OkUomRq1Q.m3u8/E7OkUomRq1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E7OkUomRq1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187468", "sha": "f097c6276e6d39383b33ac0c775dee568be4d048", "translated_description": "2010 IIT JEE Paper 1 Problem 53 Complex Determinant", "image_url": "https://img.youtube.com/vi/E7OkUomRq1Q/hqdefault.jpg", "youtube_id": "E7OkUomRq1Q", "content_kind": "Video", "readable_id": "complex-determinant-example"}, {"translated_youtube_id": "A6fbDssPeac", "relative_url": "/video/series-sum-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 54, Series, Sum", "ka_url": "http://www.khanacademy.org/video/series-sum-example", "duration": 858, "translated_title": "Series sum example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "id": "8187469", "description_html": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "title": "Series sum example", "progress_key": "v8187469", "edit_slug": "edit/v/8187469", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "extra_properties": null, "node_slug": "v/series-sum-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.mp4/A6fbDssPeac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.mp4/A6fbDssPeac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A6fbDssPeac.m3u8/A6fbDssPeac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A6fbDssPeac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187469", "sha": "d5df6db56b5d546fcf02af447fc7a41b0c6bd58a", "translated_description": "2010 IIT JEE Paper 1 Problem 54 Series Sum", "image_url": "https://img.youtube.com/vi/A6fbDssPeac/hqdefault.jpg", "youtube_id": "A6fbDssPeac", "content_kind": "Video", "readable_id": "series-sum-example"}, {"translated_youtube_id": "Y2ed-g8Lpdc", "relative_url": "/video/trigonometric-system-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 55, Trigonometric, System", "ka_url": "http://www.khanacademy.org/video/trigonometric-system-example", "duration": 662, "translated_title": "Trigonometric system example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "id": "8187470", "description_html": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "title": "Trigonometric system example", "progress_key": "v8187470", "edit_slug": "edit/v/8187470", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "extra_properties": null, "node_slug": "v/trigonometric-system-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.mp4/Y2ed-g8Lpdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.mp4/Y2ed-g8Lpdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y2ed-g8Lpdc.m3u8/Y2ed-g8Lpdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y2ed-g8Lpdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187470", "sha": "b7ba400a891d329480c499356ae3675843971d99", "translated_description": "2010 IIT JEE Paper 1 Problem 55 Trigonometric System", "image_url": "https://img.youtube.com/vi/Y2ed-g8Lpdc/hqdefault.jpg", "youtube_id": "Y2ed-g8Lpdc", "content_kind": "Video", "readable_id": "trigonometric-system-example"}, {"translated_youtube_id": "fqnPabGV6A4", "relative_url": "/video/simple-differential-equation-example", "has_questions": false, "keywords": "2010, IIT, JEE, Paper, Problem, 56, Differential, Equation", "ka_url": "http://www.khanacademy.org/video/simple-differential-equation-example", "duration": 779, "translated_title": "Simple differential equation example", "translated_description_html": "2010 IIT JEE Paper 1 Problem 56 Differential Equation", "id": "8187471", "description_html": "2010 IIT JEE Paper 1 Problem 56 Differential Equation", "title": "Simple differential equation example", "progress_key": "v8187471", "edit_slug": "edit/v/8187471", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2010 IIT JEE Paper 1 Problem 56 Differential Equation", "extra_properties": null, "node_slug": "v/simple-differential-equation-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:45:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fqnPabGV6A4.mp4/fqnPabGV6A4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fqnPabGV6A4.mp4/fqnPabGV6A4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fqnPabGV6A4.m3u8/fqnPabGV6A4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fqnPabGV6A4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187471", "sha": "2ff8aa86b34f00566be78462fd822c9ce7686d11", "translated_description": "2010 IIT JEE Paper 1 Problem 56 Differential Equation", "image_url": "https://img.youtube.com/vi/fqnPabGV6A4/hqdefault.jpg", "youtube_id": "fqnPabGV6A4", "content_kind": "Video", "readable_id": "simple-differential-equation-example"}], "twitter_url": "", "translated_description": "Questions from previous IIT JEEs", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Questions from previous IIT JEEs", "x_pos": 0.0, "node_slug": "iit-jee", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax859feb00", "topic_page_url": "/math/test-prep/iit-jee", "extended_slug": "math/test-prep/iit-jee", "slug": "iit-jee", "tags": ["IIT", "JEE"], "kind": "Topic", "in_topic_browser": true, "sha": "0a55dc3f722f168998b6364f8fe3bd439556ddbe", "standalone_title": "IIT JEE Questions", "y_pos": 0.0, "current_revision_key": "0a55dc3f722f168998b6364f8fe3bd439556ddbe", "content_kind": "Topic"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": null, "x_pos": 0.0, "node_slug": "test-prep", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T01:18:16Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7626d097", "topic_page_url": "/math/test-prep", "extended_slug": "math/test-prep", "slug": "test-prep", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "569b4acdb189ee9463c6bacd5893d0bdc7e69fe5", "standalone_title": "Test prep", "y_pos": 0.0, "current_revision_key": "569b4acdb189ee9463c6bacd5893d0bdc7e69fe5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/competition-math", "web_url": "", "ka_url": "http://www.khanacademy.org/math/competition-math", "translated_standalone_title": "Math contests", "translated_title": "Math contests", "gplus_url": "", "id": "xdb59ef23", "old_key_name": "mntfUN1rXH5_0yBT0nxrTjmWaf-J9SgX6uhqWiQa", "hide": false, "title": "Math contests", "child_data": [{"kind": "Topic", "id": "x822f1bfb"}, {"kind": "Topic", "id": "x214bc62e"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/competition-math/amc-10", "web_url": "", "ka_url": "http://www.khanacademy.org/math/competition-math/amc-10", "translated_standalone_title": "AMC 10", "translated_title": "AMC 10", "gplus_url": "", "id": "x822f1bfb", "old_key_name": null, "hide": false, "title": "AMC 10", "child_data": [{"kind": "Topic", "id": "xcd3d3167"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/competition-math/amc-10/2013-amc-10-a", "web_url": "", "ka_url": "http://www.khanacademy.org/math/competition-math/amc-10/2013-amc-10-a", "translated_standalone_title": "2013 AMC 10 A", "translated_title": "2013 AMC 10 A", "gplus_url": "", "id": "xcd3d3167", "old_key_name": null, "hide": false, "title": "2013 AMC 10 A", "child_data": [{"kind": "Video", "id": "xfd00ae39"}, {"kind": "Video", "id": "x3fa96649"}, {"kind": "Video", "id": "x7f2f785d"}, {"kind": "Video", "id": "x00c2c7a3"}, {"kind": "Video", "id": "x23f0eb58"}], "children": [{"translated_youtube_id": "-UagBvxCReA", "relative_url": "/video/2013-amc-10-a-21---amc-12-a-17", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2013-amc-10-a-21---amc-12-a-17", "duration": 433, "translated_title": "2013 AMC 10 A #21 / AMC 12 A #17", "translated_description_html": "

Video by Art of Problem Solving<\/a>.  Problem from the MAA American Mathematics Competitions<\/a><\/p>\n", "id": "xfd00ae39", "description_html": "

Video by Art of Problem Solving<\/a>.  Problem from the MAA American Mathematics Competitions<\/a><\/p>\n", "title": "2013 AMC 10 A #21 / AMC 12 A #17", "progress_key": "vxfd00ae39", "edit_slug": "edit/v/xfd00ae39", "author_names": ["Art of Problem Solving"], "deleted_mod_time": null, "description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2013-amc-10-a-21---amc-12-a-17", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-23T14:59:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-UagBvxCReA.mp4/-UagBvxCReA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-UagBvxCReA.mp4/-UagBvxCReA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-UagBvxCReA.m3u8/-UagBvxCReA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-UagBvxCReA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfd00ae39", "sha": "da8295f39c420ab4d5fe631d5498d056738308e6", "translated_description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "image_url": "https://img.youtube.com/vi/-UagBvxCReA/hqdefault.jpg", "youtube_id": "-UagBvxCReA", "content_kind": "Video", "readable_id": "2013-amc-10-a-21---amc-12-a-17"}, {"translated_youtube_id": "rcLw4BlxaRs", "relative_url": "/video/2013-amc-10-a--22---amc-12-a--18", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2013-amc-10-a--22---amc-12-a--18", "duration": 318, "translated_title": "2013 AMC 10 A #22 / AMC 12 A #18", "translated_description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "id": "x3fa96649", "description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "title": "2013 AMC 10 A #22 / AMC 12 A #18", "progress_key": "vx3fa96649", "edit_slug": "edit/v/x3fa96649", "author_names": ["Art of Problem Solving"], "deleted_mod_time": null, "description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2013-amc-10-a--22---amc-12-a--18", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-23T14:59:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcLw4BlxaRs.mp4/rcLw4BlxaRs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcLw4BlxaRs.mp4/rcLw4BlxaRs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcLw4BlxaRs.m3u8/rcLw4BlxaRs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcLw4BlxaRs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3fa96649", "sha": "de56e49ebc93baf4492281515d7b953cd96afb13", "translated_description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "image_url": "https://img.youtube.com/vi/rcLw4BlxaRs/hqdefault.jpg", "youtube_id": "rcLw4BlxaRs", "content_kind": "Video", "readable_id": "2013-amc-10-a--22---amc-12-a--18"}, {"translated_youtube_id": "MyanDgvTb2g", "relative_url": "/video/2013-amc-10-a--23---amc-12-a--19", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2013-amc-10-a--23---amc-12-a--19", "duration": 207, "translated_title": "2013 AMC 10 A #23 / AMC 12 A #19", "translated_description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "id": "x7f2f785d", "description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "title": "2013 AMC 10 A #23 / AMC 12 A #19", "progress_key": "vx7f2f785d", "edit_slug": "edit/v/x7f2f785d", "author_names": ["Art of Problem Solving"], "deleted_mod_time": null, "description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2013-amc-10-a--23---amc-12-a--19", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-23T14:59:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MyanDgvTb2g.mp4/MyanDgvTb2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MyanDgvTb2g.mp4/MyanDgvTb2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MyanDgvTb2g.m3u8/MyanDgvTb2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MyanDgvTb2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f2f785d", "sha": "c2d112479e3efa49437e43097a116c4d52123f04", "translated_description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "image_url": "https://img.youtube.com/vi/MyanDgvTb2g/hqdefault.jpg", "youtube_id": "MyanDgvTb2g", "content_kind": "Video", "readable_id": "2013-amc-10-a--23---amc-12-a--19"}, {"translated_youtube_id": "duomXwMSPv8", "relative_url": "/video/2013-amc-10-a--24", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2013-amc-10-a--24", "duration": 389, "translated_title": "2013 AMC 10 A #24", "translated_description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "id": "x00c2c7a3", "description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "title": "2013 AMC 10 A #24", "progress_key": "vx00c2c7a3", "edit_slug": "edit/v/x00c2c7a3", "author_names": ["Art of Problem Solving"], "deleted_mod_time": null, "description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2013-amc-10-a--24", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-23T14:59:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/duomXwMSPv8.mp4/duomXwMSPv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/duomXwMSPv8.mp4/duomXwMSPv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/duomXwMSPv8.m3u8/duomXwMSPv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=duomXwMSPv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx00c2c7a3", "sha": "cb7271906d507bcc0c81d877eb727c14b502fcff", "translated_description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "image_url": "https://img.youtube.com/vi/duomXwMSPv8/hqdefault.jpg", "youtube_id": "duomXwMSPv8", "content_kind": "Video", "readable_id": "2013-amc-10-a--24"}, {"translated_youtube_id": "cU9L1bTDePM", "relative_url": "/video/2013-amc-10-a--25", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2013-amc-10-a--25", "duration": 453, "translated_title": "2013 AMC 10 A #25", "translated_description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "id": "x23f0eb58", "description_html": "

Video by <\/span>Art of Problem Solving<\/a>.  Problem from the MAA <\/span>American Mathematics Competitions<\/a><\/p>\n", "title": "2013 AMC 10 A #25", "progress_key": "vx23f0eb58", "edit_slug": "edit/v/x23f0eb58", "author_names": ["Art of Problem Solving"], "deleted_mod_time": null, "description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2013-amc-10-a--25", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-23T14:59:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cU9L1bTDePM.mp4/cU9L1bTDePM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cU9L1bTDePM.mp4/cU9L1bTDePM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cU9L1bTDePM.m3u8/cU9L1bTDePM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cU9L1bTDePM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx23f0eb58", "sha": "841f1074a7cb5236b85ad3b21fce4576adafc9ad", "translated_description": "Video by Art of Problem Solving.  Problem from the MAA American Mathematics Competitions\n", "image_url": "https://img.youtube.com/vi/cU9L1bTDePM/hqdefault.jpg", "youtube_id": "cU9L1bTDePM", "content_kind": "Video", "readable_id": "2013-amc-10-a--25"}], "twitter_url": "", "translated_description": "Final five questions on the 2013 AMC 10 A. (Three of these problems are shared with the 2013 AMC 12 A.)\n\nVideos produced by Art of Problem Solving (www.aops.com). Problems from the MAA American Mathematics Competitions (amc.maa.org)", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Final five questions on the 2013 AMC 10 A. (Three of these problems are shared with the 2013 AMC 12 A.)\n\nVideos produced by Art of Problem Solving (www.aops.com). Problems from the MAA American Mathematics Competitions (amc.maa.org)", "x_pos": 0.0, "node_slug": "2013-amc-10-a", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T19:23:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcd3d3167", "topic_page_url": "/math/competition-math/amc-10/2013-amc-10-a", "extended_slug": "math/competition-math/amc-10/2013-amc-10-a", "slug": "2013-amc-10-a", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0b0332fd75f78c6bad77087a4f6accd2170492f4", "standalone_title": "2013 AMC 10 A", "y_pos": 0.0, "current_revision_key": "0b0332fd75f78c6bad77087a4f6accd2170492f4", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The AMC 10 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 10 is a 25 question, 75 minute multiple choice test for students in 10th grade or below. Two versions of the AMC 10 are offered each year.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The AMC 10 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 10 is a 25 question, 75 minute multiple choice test for students in 10th grade or below. Two versions of the AMC 10 are offered each year.", "x_pos": 0.0, "node_slug": "amc-10", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T01:52:42Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax822f1bfb", "topic_page_url": "/math/competition-math/amc-10", "extended_slug": "math/competition-math/amc-10", "slug": "amc-10", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f798bd3bc4500e3f245f1a19614058f9fa6ff14d", "standalone_title": "AMC 10", "y_pos": 0.0, "current_revision_key": "f798bd3bc4500e3f245f1a19614058f9fa6ff14d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "math", "relative_url": "/math/competition-math/aime", "web_url": "", "ka_url": "http://www.khanacademy.org/math/competition-math/aime", "translated_standalone_title": "AIME", "translated_title": "AIME", "gplus_url": "", "id": "x214bc62e", "old_key_name": null, "hide": false, "title": "AIME", "child_data": [{"kind": "Topic", "id": "x595e11fb"}], "children": [{"icon_src": "", "domain_slug": "math", "relative_url": "/math/competition-math/aime/2003-aime", "web_url": "", "ka_url": "http://www.khanacademy.org/math/competition-math/aime/2003-aime", "translated_standalone_title": "2003 AIME", "translated_title": "2003 AIME", "gplus_url": "", "id": "x595e11fb", "old_key_name": null, "hide": false, "title": "2003 AIME", "child_data": [{"kind": "Video", "id": 8187421}, {"kind": "Video", "id": 8187422}, {"kind": "Video", "id": 13179252}, {"kind": "Video", "id": 13179253}, {"kind": "Video", "id": 8187423}, {"kind": "Video", "id": 8187424}, {"kind": "Video", "id": 13179254}, {"kind": "Video", "id": 13179255}, {"kind": "Video", "id": 13179257}, {"kind": "Video", "id": 13179256}, {"kind": "Video", "id": 13179269}, {"kind": "Video", "id": 13179258}, {"kind": "Video", "id": 13179275}, {"kind": "Video", "id": 13179276}, {"kind": "Video", "id": 13179277}, {"kind": "Video", "id": 13179280}, {"kind": "Video", "id": 13179281}, {"kind": "Video", "id": 13179278}, {"kind": "Video", "id": 13179279}, {"kind": "Video", "id": 13179282}, {"kind": "Video", "id": 13179283}, {"kind": "Video", "id": 13179284}, {"kind": "Video", "id": 13179285}], "children": [{"translated_youtube_id": "JPQ8cfOsYxo", "relative_url": "/video/2003-aime-ii-problem-1", "has_questions": false, "keywords": "2003, AIME, II, Problem, greatest, integer, divisibility", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-1", "duration": 368, "translated_title": "2003 AIME II problem 1", "translated_description_html": "2003 AIME II Problem 1", "id": "8187421", "description_html": "2003 AIME II Problem 1", "title": "2003 AIME II problem 1", "progress_key": "v8187421", "edit_slug": "edit/v/8187421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2003 AIME II Problem 1", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.mp4/JPQ8cfOsYxo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.mp4/JPQ8cfOsYxo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JPQ8cfOsYxo.m3u8/JPQ8cfOsYxo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JPQ8cfOsYxo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187421", "sha": "daef541997362b73883c9e96b9ee9d90ab88cae6", "translated_description": "2003 AIME II Problem 1", "image_url": "https://img.youtube.com/vi/JPQ8cfOsYxo/hqdefault.jpg", "youtube_id": "JPQ8cfOsYxo", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-1"}, {"translated_youtube_id": "JU67TL2L1CA", "relative_url": "/video/2003-aime-ii-problem-3", "has_questions": false, "keywords": "2003, AIME, II, Problem", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-3", "duration": 178, "translated_title": "2003 AIME II problem 3", "translated_description_html": "2003 AIME II Problem 3", "id": "8187422", "description_html": "2003 AIME II Problem 3", "title": "2003 AIME II problem 3", "progress_key": "v8187422", "edit_slug": "edit/v/8187422", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2003 AIME II Problem 3", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JU67TL2L1CA.mp4/JU67TL2L1CA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JU67TL2L1CA.mp4/JU67TL2L1CA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JU67TL2L1CA.m3u8/JU67TL2L1CA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JU67TL2L1CA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187422", "sha": "77f992270b2bce85405fe96aaa6287f4953314d3", "translated_description": "2003 AIME II Problem 3", "image_url": "https://img.youtube.com/vi/JU67TL2L1CA/hqdefault.jpg", "youtube_id": "JU67TL2L1CA", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-3"}, {"translated_youtube_id": "17st-s5gg10", "relative_url": "/video/sum-of-factors-of-27000", "has_questions": false, "keywords": "Sum, of, factors, 27000", "ka_url": "http://www.khanacademy.org/video/sum-of-factors-of-27000", "duration": 403, "translated_title": "Sum of factors of 27000", "translated_description_html": null, "id": "13179252", "description_html": null, "title": "Sum of factors of 27000", "progress_key": "v13179252", "edit_slug": "edit/v/13179252", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": null, "extra_properties": null, "node_slug": "v/sum-of-factors-of-27000", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/17st-s5gg10.mp4/17st-s5gg10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/17st-s5gg10.mp4/17st-s5gg10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/17st-s5gg10.m3u8/17st-s5gg10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=17st-s5gg10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179252", "sha": "eec96b1272ff46e9ac8e9258244b293823ca872d", "translated_description": null, "image_url": "https://img.youtube.com/vi/17st-s5gg10/hqdefault.jpg", "youtube_id": "17st-s5gg10", "content_kind": "Video", "readable_id": "sum-of-factors-of-27000"}, {"translated_youtube_id": "tbQ_7zvRoN4", "relative_url": "/video/sum-of-factors-2", "has_questions": false, "keywords": "factor, sum, number, theory", "ka_url": "http://www.khanacademy.org/video/sum-of-factors-2", "duration": 654, "translated_title": "Sum of factors 2", "translated_description_html": "Seeing the \"formula\" in the last method", "id": "13179253", "description_html": "Seeing the \"formula\" in the last method", "title": "Sum of factors 2", "progress_key": "v13179253", "edit_slug": "edit/v/13179253", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing the \"formula\" in the last method", "extra_properties": null, "node_slug": "v/sum-of-factors-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tbQ_7zvRoN4.mp4/tbQ_7zvRoN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tbQ_7zvRoN4.mp4/tbQ_7zvRoN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tbQ_7zvRoN4.m3u8/tbQ_7zvRoN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tbQ_7zvRoN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179253", "sha": "a52478841859584ad5ae04a39a9772965299b34e", "translated_description": "Seeing the \"formula\" in the last method", "image_url": "https://img.youtube.com/vi/tbQ_7zvRoN4/hqdefault.jpg", "youtube_id": "tbQ_7zvRoN4", "content_kind": "Video", "readable_id": "sum-of-factors-2"}, {"translated_youtube_id": "gXnHodHNusg", "relative_url": "/video/2003-aime-ii-problem-4--part-1", "has_questions": false, "keywords": "2003, AIME, II, Problem, (part, 1), Three, dimensional, geometry", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-4--part-1", "duration": 855, "translated_title": "2003 AIME II problem 4 (part 1)", "translated_description_html": "", "id": "8187423", "description_html": "", "title": "2003 AIME II problem 4 (part 1)", "progress_key": "v8187423", "edit_slug": "edit/v/8187423", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-08-23T14:59:29Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-4--part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gXnHodHNusg.mp4/gXnHodHNusg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gXnHodHNusg.mp4/gXnHodHNusg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gXnHodHNusg.m3u8/gXnHodHNusg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gXnHodHNusg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187423", "sha": "1dd7688d30a7840801af123fe15ce7c108bc981e", "translated_description": "", "image_url": "https://img.youtube.com/vi/gXnHodHNusg/hqdefault.jpg", "youtube_id": "gXnHodHNusg", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-4--part-1"}, {"translated_youtube_id": "wQ34EIfd-5A", "relative_url": "/video/2003-aime-ii-problem-4--part-2", "has_questions": false, "keywords": "2003, AIME, II, Problem, (part, 2), Three, Dimensional, Geometry", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-4--part-2", "duration": 418, "translated_title": "2003 AIME II problem 4 (part 2)", "translated_description_html": "", "id": "8187424", "description_html": "", "title": "2003 AIME II problem 4 (part 2)", "progress_key": "v8187424", "edit_slug": "edit/v/8187424", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-19T17:19:40Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-4--part-2", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2012-01-27T20:29:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wQ34EIfd-5A.mp4/wQ34EIfd-5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wQ34EIfd-5A.mp4/wQ34EIfd-5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wQ34EIfd-5A.m3u8/wQ34EIfd-5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wQ34EIfd-5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187424", "sha": "89783f594317a1a146ae29f0ca5f9b06b4e044b9", "translated_description": "", "image_url": "https://img.youtube.com/vi/wQ34EIfd-5A/hqdefault.jpg", "youtube_id": "wQ34EIfd-5A", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-4--part-2"}, {"translated_youtube_id": "EzE53aPGbrQ", "relative_url": "/video/2003-aime-ii-problem-5", "has_questions": false, "keywords": "2003, AIME, II, Problem, volume, 45, degree, triangle, cylinder", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-5", "duration": 494, "translated_title": "2003 AIME II problem 5", "translated_description_html": "Volume of a wedge cut from a cylindrical log", "id": "13179254", "description_html": "Volume of a wedge cut from a cylindrical log", "title": "2003 AIME II problem 5", "progress_key": "v13179254", "edit_slug": "edit/v/13179254", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Volume of a wedge cut from a cylindrical log", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EzE53aPGbrQ.mp4/EzE53aPGbrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EzE53aPGbrQ.mp4/EzE53aPGbrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EzE53aPGbrQ.m3u8/EzE53aPGbrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EzE53aPGbrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179254", "sha": "99705016b1b6b945fb92339d0eb0fa530caf539f", "translated_description": "Volume of a wedge cut from a cylindrical log", "image_url": "https://img.youtube.com/vi/EzE53aPGbrQ/hqdefault.jpg", "youtube_id": "EzE53aPGbrQ", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-5"}, {"translated_youtube_id": "yXg5CYuCcU4", "relative_url": "/video/2003-aime-ii-problem-5-minor-correction", "has_questions": false, "keywords": "2003, AIME, II, Problem, Minor, Correction", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-5-minor-correction", "duration": 147, "translated_title": "2003 AIME II problem 5 minor correction", "translated_description_html": "2003 AIME II Problem 5 Minor Correction", "id": "13179255", "description_html": "2003 AIME II Problem 5 Minor Correction", "title": "2003 AIME II problem 5 minor correction", "progress_key": "v13179255", "edit_slug": "edit/v/13179255", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "2003 AIME II Problem 5 Minor Correction", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-5-minor-correction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yXg5CYuCcU4.mp4/yXg5CYuCcU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yXg5CYuCcU4.mp4/yXg5CYuCcU4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yXg5CYuCcU4.m3u8/yXg5CYuCcU4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yXg5CYuCcU4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179255", "sha": "79eb7e26d257992e2b30b8891f4ddb72eae7b273", "translated_description": "2003 AIME II Problem 5 Minor Correction", "image_url": "https://img.youtube.com/vi/yXg5CYuCcU4/hqdefault.jpg", "youtube_id": "yXg5CYuCcU4", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-5-minor-correction"}, {"translated_youtube_id": "x_aax6LSRtE", "relative_url": "/video/area-circumradius-formula-proof", "has_questions": false, "keywords": "circumscribed, circle, circumcircle, area, radius", "ka_url": "http://www.khanacademy.org/video/area-circumradius-formula-proof", "duration": 546, "translated_title": "Area circumradius formula proof", "translated_description_html": "Proof of the formula relating the area of a triangle to its circumradius", "id": "13179257", "description_html": "Proof of the formula relating the area of a triangle to its circumradius", "title": "Area circumradius formula proof", "progress_key": "v13179257", "edit_slug": "edit/v/13179257", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proof of the formula relating the area of a triangle to its circumradius", "extra_properties": null, "node_slug": "v/area-circumradius-formula-proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.mp4/x_aax6LSRtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.mp4/x_aax6LSRtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x_aax6LSRtE.m3u8/x_aax6LSRtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x_aax6LSRtE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179257", "sha": "4dbf9204730685bfab7c22d97504f0a330876870", "translated_description": "Proof of the formula relating the area of a triangle to its circumradius", "image_url": "https://img.youtube.com/vi/x_aax6LSRtE/hqdefault.jpg", "youtube_id": "x_aax6LSRtE", "content_kind": "Video", "readable_id": "area-circumradius-formula-proof"}, {"translated_youtube_id": "l9j26EOvTYc", "relative_url": "/video/2003-aime-ii-problem-6", "has_questions": false, "keywords": "area, median, geometry, triangle", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-6", "duration": 1062, "translated_title": "2003 AIME II problem 6", "translated_description_html": "", "id": "13179256", "description_html": "", "title": "2003 AIME II problem 6", "progress_key": "v13179256", "edit_slug": "edit/v/13179256", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-19T17:19:40Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-6", "deleted": false, "backup_timestamp": "2013-08-23T16:45:49Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l9j26EOvTYc.mp4/l9j26EOvTYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l9j26EOvTYc.mp4/l9j26EOvTYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l9j26EOvTYc.m3u8/l9j26EOvTYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l9j26EOvTYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179256", "sha": "1ffacf05f3e98c6fcefa699c43a05343cda0f11a", "translated_description": "", "image_url": "https://img.youtube.com/vi/l9j26EOvTYc/hqdefault.jpg", "youtube_id": "l9j26EOvTYc", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-6"}, {"translated_youtube_id": "jpKjXtywTlQ", "relative_url": "/video/2003-aime-ii-problem-7", "has_questions": false, "keywords": "circumscribed, circle, triangle, circumcircle, rhombus, CC_7_G_6", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-7", "duration": 793, "translated_title": "2003 AIME II problem 7", "translated_description_html": "", "id": "13179269", "description_html": "", "title": "2003 AIME II problem 7", "progress_key": "v13179269", "edit_slug": "edit/v/13179269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-7", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.m3u8/jpKjXtywTlQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jpKjXtywTlQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179269", "sha": "5e02a960632b176e5e6f4100ecb6b12b0a034fe5", "translated_description": "", "image_url": "https://img.youtube.com/vi/jpKjXtywTlQ/hqdefault.jpg", "youtube_id": "jpKjXtywTlQ", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-7"}, {"translated_youtube_id": "ZFN63oTeYzc", "relative_url": "/video/2003-aime-ii-problem-8", "has_questions": false, "keywords": "arithmetic, sequence, series", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-8", "duration": 728, "translated_title": "2003 AIME II problem 8", "translated_description_html": "Sequence from the product of 2 arithmetic sequences", "id": "13179258", "description_html": "Sequence from the product of 2 arithmetic sequences", "title": "2003 AIME II problem 8", "progress_key": "v13179258", "edit_slug": "edit/v/13179258", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sequence from the product of 2 arithmetic sequences", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-8", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.mp4/ZFN63oTeYzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.mp4/ZFN63oTeYzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZFN63oTeYzc.m3u8/ZFN63oTeYzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZFN63oTeYzc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179258", "sha": "56757381e438a60d0c4b9b8034b37d7b69afc096", "translated_description": "Sequence from the product of 2 arithmetic sequences", "image_url": "https://img.youtube.com/vi/ZFN63oTeYzc/hqdefault.jpg", "youtube_id": "ZFN63oTeYzc", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-8"}, {"translated_youtube_id": "9eWyvWq9CCs", "relative_url": "/video/sum-of-polynomial-roots--proof", "has_questions": false, "keywords": "Sum, of, Polynomial, Roots, mathematical, induction, algebra", "ka_url": "http://www.khanacademy.org/video/sum-of-polynomial-roots--proof", "duration": 887, "translated_title": "Sum of polynomial roots (proof)", "translated_description_html": "Sum of Polynomial Roots", "id": "13179275", "description_html": "Sum of Polynomial Roots", "title": "Sum of polynomial roots (proof)", "progress_key": "v13179275", "edit_slug": "edit/v/13179275", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sum of Polynomial Roots", "extra_properties": null, "node_slug": "v/sum-of-polynomial-roots--proof", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9eWyvWq9CCs.mp4/9eWyvWq9CCs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9eWyvWq9CCs.mp4/9eWyvWq9CCs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9eWyvWq9CCs.m3u8/9eWyvWq9CCs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9eWyvWq9CCs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179275", "sha": "e9c5ed669ffb6c3499e34516893c5ef33d63e0e4", "translated_description": "Sum of Polynomial Roots", "image_url": "https://img.youtube.com/vi/9eWyvWq9CCs/hqdefault.jpg", "youtube_id": "9eWyvWq9CCs", "content_kind": "Video", "readable_id": "sum-of-polynomial-roots--proof"}, {"translated_youtube_id": "bbeWLtarzrE", "relative_url": "/video/sum-of-squares-of-polynomial-roots", "has_questions": false, "keywords": "Newton, Sums, algebra, sum, of, squares", "ka_url": "http://www.khanacademy.org/video/sum-of-squares-of-polynomial-roots", "duration": 866, "translated_title": "Sum of squares of polynomial roots", "translated_description_html": "Sum of Squares of Polynomial Roots (Newton Sums)", "id": "13179276", "description_html": "Sum of Squares of Polynomial Roots (Newton Sums)", "title": "Sum of squares of polynomial roots", "progress_key": "v13179276", "edit_slug": "edit/v/13179276", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sum of Squares of Polynomial Roots (Newton Sums)", "extra_properties": null, "node_slug": "v/sum-of-squares-of-polynomial-roots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bbeWLtarzrE.mp4/bbeWLtarzrE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bbeWLtarzrE.mp4/bbeWLtarzrE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bbeWLtarzrE.m3u8/bbeWLtarzrE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bbeWLtarzrE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179276", "sha": "998c51c53fbe7079552713c42d68f61622d28377", "translated_description": "Sum of Squares of Polynomial Roots (Newton Sums)", "image_url": "https://img.youtube.com/vi/bbeWLtarzrE/hqdefault.jpg", "youtube_id": "bbeWLtarzrE", "content_kind": "Video", "readable_id": "sum-of-squares-of-polynomial-roots"}, {"translated_youtube_id": "ZSESJ8TeGSI", "relative_url": "/video/2003-aime-ii-problem-9", "has_questions": false, "keywords": "polynomial, root, sums", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-9", "duration": 596, "translated_title": "2003 AIME II problem 9", "translated_description_html": "Sum of polynomial evaluated at roots of another polynomial", "id": "13179277", "description_html": "Sum of polynomial evaluated at roots of another polynomial", "title": "2003 AIME II problem 9", "progress_key": "v13179277", "edit_slug": "edit/v/13179277", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sum of polynomial evaluated at roots of another polynomial", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZSESJ8TeGSI.mp4/ZSESJ8TeGSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZSESJ8TeGSI.mp4/ZSESJ8TeGSI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZSESJ8TeGSI.m3u8/ZSESJ8TeGSI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZSESJ8TeGSI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179277", "sha": "991c0823abc4828bdb5be2a43a64434aceca3a88", "translated_description": "Sum of polynomial evaluated at roots of another polynomial", "image_url": "https://img.youtube.com/vi/ZSESJ8TeGSI/hqdefault.jpg", "youtube_id": "ZSESJ8TeGSI", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-9"}, {"translated_youtube_id": "Hh3iY4tdkGI", "relative_url": "/video/2003-aime-ii-problem-10", "has_questions": false, "keywords": "2003, AIME, II, Problem, 10", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-10", "duration": 805, "translated_title": "2003 AIME II problem 10", "translated_description_html": "perfect squares integers square root", "id": "13179280", "description_html": "perfect squares integers square root", "title": "2003 AIME II problem 10", "progress_key": "v13179280", "edit_slug": "edit/v/13179280", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "perfect squares integers square root", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-10", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hh3iY4tdkGI.mp4/Hh3iY4tdkGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hh3iY4tdkGI.mp4/Hh3iY4tdkGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hh3iY4tdkGI.m3u8/Hh3iY4tdkGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hh3iY4tdkGI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179280", "sha": "3d3d013b8076149bfacb44981a69a1de1e297647", "translated_description": "perfect squares integers square root", "image_url": "https://img.youtube.com/vi/Hh3iY4tdkGI/hqdefault.jpg", "youtube_id": "Hh3iY4tdkGI", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-10"}, {"translated_youtube_id": "smtrrefmC40", "relative_url": "/video/2003-aime-ii-problem-11-avi", "has_questions": false, "keywords": "law, of, cosines, trigonometry, area", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-11-avi", "duration": 995, "translated_title": "2003 AIME II problem 11", "translated_description_html": "A little trigonometry to figure out the area of a triangle", "id": "13179281", "description_html": "A little trigonometry to figure out the area of a triangle", "title": "2003 AIME II problem 11", "progress_key": "v13179281", "edit_slug": "edit/v/13179281", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A little trigonometry to figure out the area of a triangle", "extra_properties": {"original_url": ""}, "node_slug": "v/2003-aime-ii-problem-11-avi", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.mp4/smtrrefmC40.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.mp4/smtrrefmC40.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/smtrrefmC40.m3u8/smtrrefmC40.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=smtrrefmC40&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179281", "sha": "de13ac2fca099c61093a4e6d52382a80bfd815f6", "translated_description": "A little trigonometry to figure out the area of a triangle", "image_url": "https://img.youtube.com/vi/smtrrefmC40/hqdefault.jpg", "youtube_id": "smtrrefmC40", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-11-avi"}, {"translated_youtube_id": "KD46pC_KFWk", "relative_url": "/video/2003-aime-ii-problem-12", "has_questions": false, "keywords": "inequality, word, problem", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-12", "duration": 576, "translated_title": "2003 AIME II problem 12", "translated_description_html": "Minimum members in a committee", "id": "13179278", "description_html": "Minimum members in a committee", "title": "2003 AIME II problem 12", "progress_key": "v13179278", "edit_slug": "edit/v/13179278", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Minimum members in a committee", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-12", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KD46pC_KFWk.mp4/KD46pC_KFWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KD46pC_KFWk.mp4/KD46pC_KFWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KD46pC_KFWk.m3u8/KD46pC_KFWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KD46pC_KFWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179278", "sha": "86bc65ffd3399c3d6014e05828414beda128643a", "translated_description": "Minimum members in a committee", "image_url": "https://img.youtube.com/vi/KD46pC_KFWk/hqdefault.jpg", "youtube_id": "KD46pC_KFWk", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-12"}, {"translated_youtube_id": "vKMNRcctwL4", "relative_url": "/video/2003-aime-ii-problem-13", "has_questions": false, "keywords": "probability, map, aime", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-13", "duration": 973, "translated_title": "2003 AIME II problem 13", "translated_description_html": "Probability of moving to a vertex", "id": "13179279", "description_html": "Probability of moving to a vertex", "title": "2003 AIME II problem 13", "progress_key": "v13179279", "edit_slug": "edit/v/13179279", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Probability of moving to a vertex", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-13", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vKMNRcctwL4.mp4/vKMNRcctwL4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vKMNRcctwL4.mp4/vKMNRcctwL4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vKMNRcctwL4.m3u8/vKMNRcctwL4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vKMNRcctwL4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179279", "sha": "245cf98e352ca7a15e1abf2cec022131fb3fbda3", "translated_description": "Probability of moving to a vertex", "image_url": "https://img.youtube.com/vi/vKMNRcctwL4/hqdefault.jpg", "youtube_id": "vKMNRcctwL4", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-13"}, {"translated_youtube_id": "Ec-BKdC8vOo", "relative_url": "/video/2003-aime-ii-problem-14", "has_questions": false, "keywords": "trigonometry, parrallelogram, area", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-14", "duration": 1098, "translated_title": "2003 AIME II problem 14", "translated_description_html": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "id": "13179282", "description_html": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "title": "2003 AIME II problem 14", "progress_key": "v13179282", "edit_slug": "edit/v/13179282", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-14", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.mp4/Ec-BKdC8vOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.mp4/Ec-BKdC8vOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ec-BKdC8vOo.m3u8/Ec-BKdC8vOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ec-BKdC8vOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179282", "sha": "95d0929b6004c84542a11278a04cec2052c8afce", "translated_description": "Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon", "image_url": "https://img.youtube.com/vi/Ec-BKdC8vOo/hqdefault.jpg", "youtube_id": "Ec-BKdC8vOo", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-14"}, {"translated_youtube_id": "2eLAEMRrR7Q", "relative_url": "/video/2003-aime-ii-problem-15--part-1", "has_questions": false, "keywords": "complex, analysis, trigonometry, competition, math", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-15--part-1", "duration": 714, "translated_title": "2003 AIME II problem 15 (part 1)", "translated_description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "id": "13179283", "description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "title": "2003 AIME II problem 15 (part 1)", "progress_key": "v13179283", "edit_slug": "edit/v/13179283", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-15--part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2eLAEMRrR7Q.mp4/2eLAEMRrR7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2eLAEMRrR7Q.mp4/2eLAEMRrR7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2eLAEMRrR7Q.m3u8/2eLAEMRrR7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2eLAEMRrR7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179283", "sha": "d7618f49ed84ea4c20126989bf8363b5e939a837", "translated_description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "image_url": "https://img.youtube.com/vi/2eLAEMRrR7Q/hqdefault.jpg", "youtube_id": "2eLAEMRrR7Q", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-15--part-1"}, {"translated_youtube_id": "TljVBB7gxbE", "relative_url": "/video/2003-aime-ii-problem-15--part-2", "has_questions": false, "keywords": "complex, analysis, trigonometry, competition, math", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-15--part-2", "duration": 693, "translated_title": "2003 AIME II problem 15 (part 2)", "translated_description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "id": "13179284", "description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "title": "2003 AIME II problem 15 (part 2)", "progress_key": "v13179284", "edit_slug": "edit/v/13179284", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-15--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TljVBB7gxbE.mp4/TljVBB7gxbE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TljVBB7gxbE.mp4/TljVBB7gxbE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TljVBB7gxbE.m3u8/TljVBB7gxbE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TljVBB7gxbE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179284", "sha": "067501d19433356f4183826eb7f11f96e67cd789", "translated_description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "image_url": "https://img.youtube.com/vi/TljVBB7gxbE/hqdefault.jpg", "youtube_id": "TljVBB7gxbE", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-15--part-2"}, {"translated_youtube_id": "JTpXK2mENH4", "relative_url": "/video/2003-aime-ii-problem-15--part-3", "has_questions": false, "keywords": "complex, analysis, trigonometry, competition, math", "ka_url": "http://www.khanacademy.org/video/2003-aime-ii-problem-15--part-3", "duration": 571, "translated_title": "2003 AIME II problem 15 (part 3)", "translated_description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "id": "13179285", "description_html": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "title": "2003 AIME II problem 15 (part 3)", "progress_key": "v13179285", "edit_slug": "edit/v/13179285", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "extra_properties": null, "node_slug": "v/2003-aime-ii-problem-15--part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JTpXK2mENH4.mp4/JTpXK2mENH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JTpXK2mENH4.mp4/JTpXK2mENH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JTpXK2mENH4.m3u8/JTpXK2mENH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JTpXK2mENH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179285", "sha": "b97106206a2d4fd379e791d9aad2c710b3382dd4", "translated_description": "Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial", "image_url": "https://img.youtube.com/vi/JTpXK2mENH4/hqdefault.jpg", "youtube_id": "JTpXK2mENH4", "content_kind": "Video", "readable_id": "2003-aime-ii-problem-15--part-3"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "2003-aime", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T16:45:49Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax595e11fb", "topic_page_url": "/math/competition-math/aime/2003-aime", "extended_slug": "math/competition-math/aime/2003-aime", "slug": "2003-aime", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3d1a14cf82410886d5cde6b75934715772089e09", "standalone_title": "2003 AIME", "y_pos": 0.0, "current_revision_key": "3d1a14cf82410886d5cde6b75934715772089e09", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "aime", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T15:02:22Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax214bc62e", "topic_page_url": "/math/competition-math/aime", "extended_slug": "math/competition-math/aime", "slug": "aime", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca9b07f90157706ff44c4329855b6e1144313f2c", "standalone_title": "AIME", "y_pos": 0.0, "current_revision_key": "ca9b07f90157706ff44c4329855b6e1144313f2c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Problems from prestigious American middle and high school competitions", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Problems from prestigious American middle and high school competitions", "x_pos": 0.0, "node_slug": "competition-math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-13T23:18:37Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb59ef23", "topic_page_url": "/math/competition-math", "extended_slug": "math/competition-math", "slug": "competition-math", "tags": ["AIME", "USAMO", "mathcounts", "putnam"], "kind": "Topic", "in_topic_browser": true, "sha": "321cdc05bdc6d1870dd10db6215afef46968e43d", "standalone_title": "Math contests", "y_pos": 0.0, "current_revision_key": "321cdc05bdc6d1870dd10db6215afef46968e43d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": null, "x_pos": 0.0, "node_slug": "math", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-30T18:25:08Z", "render_type": "Domain", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7a488390", "topic_page_url": null, "extended_slug": "math", "slug": "math", "tags": ["math"], "kind": "Topic", "in_topic_browser": true, "sha": "1b4dcc766a110e85fe5efc5ae859fe7741091d03", "standalone_title": "Math", "y_pos": 0.0, "current_revision_key": "1b4dcc766a110e85fe5efc5ae859fe7741091d03", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Science", "translated_title": "Science ", "gplus_url": "", "id": "xb92336a2", "old_key_name": "OMoY9JRKo-2kGo52mx5UdPSnyeEYQGm6bNzd1EPv", "hide": false, "title": "Science ", "child_data": [{"kind": "Topic", "id": "x324d1dcc"}, {"kind": "Topic", "id": "x4122fa5d"}, {"kind": "Topic", "id": "x822131fc"}, {"kind": "Topic", "id": "x1079cbfa"}, {"kind": "Topic", "id": "xcdef9704"}, {"kind": "Topic", "id": "x3b5694ef"}, {"kind": "Topic", "id": "x6e556f83"}, {"kind": "Topic", "id": "x04f6bc56"}, {"kind": "Topic", "id": "xedb305cc"}, {"kind": "Topic", "id": "xae887ec6"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology", "translated_standalone_title": "Biology", "translated_title": "Biology", "gplus_url": "", "id": "x324d1dcc", "old_key_name": "PH8apuBnx-z09RuITg1wr7VYNp2Ui5KK8Drl9npt", "hide": false, "title": "Biology", "child_data": [{"kind": "Topic", "id": "x434de875"}, {"kind": "Topic", "id": "x46f91fc6"}, {"kind": "Topic", "id": "xd0849fdb"}, {"kind": "Topic", "id": "xef180f38"}, {"kind": "Topic", "id": "xf3157fab"}, {"kind": "Topic", "id": "xf73fecc9"}, {"kind": "Topic", "id": "xb67ac68d"}, {"kind": "Topic", "id": "xc6bf9499"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/evolution-and-natural-selection", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/evolution-and-natural-selection", "translated_standalone_title": "Evolution and natural selection", "translated_title": "Evolution and natural selection", "gplus_url": "", "id": "x434de875", "old_key_name": "4XKNugyiImp71f-Y2oGuGUpC67RrIpMR0iXTRV1X", "hide": false, "title": "Evolution and natural selection", "child_data": [{"kind": "Video", "id": 23916}, {"kind": "Video", "id": 42120192}, {"kind": "Video", "id": 23918}, {"kind": "Video", "id": 23920}, {"kind": "Video", "id": 23922}, {"kind": "Video", "id": 23924}, {"kind": "Video", "id": 23926}], "children": [{"translated_youtube_id": "GcjgWov7mTM", "relative_url": "/video/introduction-to-evolution-and-natural-selection", "has_questions": false, "keywords": "evolution, natural, selection, variation, biology", "ka_url": "http://www.khanacademy.org/video/introduction-to-evolution-and-natural-selection", "duration": 1059, "translated_title": "Introduction to evolution and natural selection", "translated_description_html": "Introduction to evolution, variation in a population and natural selection", "id": "23916", "description_html": "Introduction to evolution, variation in a population and natural selection", "title": "Introduction to evolution and natural selection", "progress_key": "v23916", "edit_slug": "edit/v/23916", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to evolution, variation in a population and natural selection", "extra_properties": null, "node_slug": "v/introduction-to-evolution-and-natural-selection", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GcjgWov7mTM.mp4/GcjgWov7mTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GcjgWov7mTM.mp4/GcjgWov7mTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GcjgWov7mTM.m3u8/GcjgWov7mTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GcjgWov7mTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23916", "sha": "7ef32820352444ae43ab7b479369d9b653cb3713", "translated_description": "Introduction to evolution, variation in a population and natural selection", "image_url": "https://img.youtube.com/vi/GcjgWov7mTM/hqdefault.jpg", "youtube_id": "GcjgWov7mTM", "content_kind": "Video", "readable_id": "introduction-to-evolution-and-natural-selection"}, {"translated_youtube_id": "oFGkYA_diDA", "relative_url": "/video/ape-clarification", "has_questions": false, "keywords": "ape, great, lesser, tail, primate", "ka_url": "http://www.khanacademy.org/video/ape-clarification", "duration": 64, "translated_title": "Ape clarification", "translated_description_html": "

Ape Clarification - that they have no tails<\/p>", "id": "42120192", "description_html": "

Ape Clarification - that they have no tails<\/p>", "title": "Ape clarification", "progress_key": "v42120192", "edit_slug": "edit/v/42120192", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ape Clarification - that they have no tails", "extra_properties": {}, "node_slug": "v/ape-clarification", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:02:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oFGkYA_diDA.mp4/oFGkYA_diDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oFGkYA_diDA.mp4/oFGkYA_diDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oFGkYA_diDA.m3u8/oFGkYA_diDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oFGkYA_diDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42120192", "sha": "3c79a2c9c154df6067cd36f27d0411c69b025eff", "translated_description": "Ape Clarification - that they have no tails", "image_url": "https://img.youtube.com/vi/oFGkYA_diDA/hqdefault.jpg", "youtube_id": "oFGkYA_diDA", "content_kind": "Video", "readable_id": "ape-clarification"}, {"translated_youtube_id": "qxOEz9aPZNY", "relative_url": "/video/intelligent-design-and-evolution", "has_questions": false, "keywords": "evolution, natural, selection, intelligent, design", "ka_url": "http://www.khanacademy.org/video/intelligent-design-and-evolution", "duration": 695, "translated_title": "Intelligent design and evolution", "translated_description_html": "The argument that evolution speaks to being the most \"intelligent design\"", "id": "23918", "description_html": "The argument that evolution speaks to being the most \"intelligent design\"", "title": "Intelligent design and evolution", "progress_key": "v23918", "edit_slug": "edit/v/23918", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The argument that evolution speaks to being the most \"intelligent design\"", "extra_properties": null, "node_slug": "v/intelligent-design-and-evolution", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.mp4/qxOEz9aPZNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.mp4/qxOEz9aPZNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.m3u8/qxOEz9aPZNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qxOEz9aPZNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23918", "sha": "fb4880f55291ea99e901371d3bbea4e4b7ad4d40", "translated_description": "The argument that evolution speaks to being the most \"intelligent design\"", "image_url": "https://img.youtube.com/vi/qxOEz9aPZNY/hqdefault.jpg", "youtube_id": "qxOEz9aPZNY", "content_kind": "Video", "readable_id": "intelligent-design-and-evolution"}, {"translated_youtube_id": "nh1R-gyY7es", "relative_url": "/video/evolution-clarification", "has_questions": false, "keywords": "biology, intelligent, design", "ka_url": "http://www.khanacademy.org/video/evolution-clarification", "duration": 541, "translated_title": "Evolution clarification", "translated_description_html": "Clarifying some points on evolution and intelligent design", "id": "23920", "description_html": "Clarifying some points on evolution and intelligent design", "title": "Evolution clarification", "progress_key": "v23920", "edit_slug": "edit/v/23920", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Clarifying some points on evolution and intelligent design", "extra_properties": null, "node_slug": "v/evolution-clarification", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nh1R-gyY7es.mp4/nh1R-gyY7es.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nh1R-gyY7es.mp4/nh1R-gyY7es.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nh1R-gyY7es.m3u8/nh1R-gyY7es.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nh1R-gyY7es&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23920", "sha": "5c980d8e12c9b061b82d65475ab43c6d59131437", "translated_description": "Clarifying some points on evolution and intelligent design", "image_url": "https://img.youtube.com/vi/nh1R-gyY7es/hqdefault.jpg", "youtube_id": "nh1R-gyY7es", "content_kind": "Video", "readable_id": "evolution-clarification"}, {"translated_youtube_id": "dR_BFmDMRaI", "relative_url": "/video/natural-selection-and-the-owl-butterfly", "has_questions": false, "keywords": "evolution, natural, selection, intelligent, design", "ka_url": "http://www.khanacademy.org/video/natural-selection-and-the-owl-butterfly", "duration": 809, "translated_title": "Natural selection and the owl butterfly", "translated_description_html": "How the \"Owl Butterfly\" may have gotten the spot on its wings.", "id": "23922", "description_html": "How the \"Owl Butterfly\" may have gotten the spot on its wings.", "title": "Natural selection and the owl butterfly", "progress_key": "v23922", "edit_slug": "edit/v/23922", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the \"Owl Butterfly\" may have gotten the spot on its wings.", "extra_properties": null, "node_slug": "v/natural-selection-and-the-owl-butterfly", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dR_BFmDMRaI.mp4/dR_BFmDMRaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dR_BFmDMRaI.mp4/dR_BFmDMRaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dR_BFmDMRaI.m3u8/dR_BFmDMRaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dR_BFmDMRaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23922", "sha": "4fc21779ce2c1d67e8d84c3cd38a932d18534e15", "translated_description": "How the \"Owl Butterfly\" may have gotten the spot on its wings.", "image_url": "https://img.youtube.com/vi/dR_BFmDMRaI/hqdefault.jpg", "youtube_id": "dR_BFmDMRaI", "content_kind": "Video", "readable_id": "natural-selection-and-the-owl-butterfly"}, {"translated_youtube_id": "_-vZ_g7K6P0", "relative_url": "/video/dna", "has_questions": false, "keywords": "biology, dna, genetics", "ka_url": "http://www.khanacademy.org/video/dna", "duration": 1685, "translated_title": "DNA", "translated_description_html": "An introduction to DNA", "id": "23924", "description_html": "An introduction to DNA", "title": "DNA", "progress_key": "v23924", "edit_slug": "edit/v/23924", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to DNA", "extra_properties": null, "node_slug": "v/dna", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_-vZ_g7K6P0.mp4/_-vZ_g7K6P0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_-vZ_g7K6P0.mp4/_-vZ_g7K6P0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_-vZ_g7K6P0.m3u8/_-vZ_g7K6P0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_-vZ_g7K6P0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23924", "sha": "b48f1d38c33d5a25da3ac41e564e6cd99946ba6e", "translated_description": "An introduction to DNA", "image_url": "https://img.youtube.com/vi/_-vZ_g7K6P0/hqdefault.jpg", "youtube_id": "_-vZ_g7K6P0", "content_kind": "Video", "readable_id": "dna"}, {"translated_youtube_id": "DuArVnT1i-E", "relative_url": "/video/variation-in-a-species", "has_questions": false, "keywords": "natural, selection, biology, evolution, variation", "ka_url": "http://www.khanacademy.org/video/variation-in-a-species", "duration": 1191, "translated_title": "Variation in a species", "translated_description_html": "How variation can be introduced into a species.", "id": "23926", "description_html": "How variation can be introduced into a species.", "title": "Variation in a species", "progress_key": "v23926", "edit_slug": "edit/v/23926", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How variation can be introduced into a species.", "extra_properties": null, "node_slug": "v/variation-in-a-species", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DuArVnT1i-E.mp4/DuArVnT1i-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DuArVnT1i-E.mp4/DuArVnT1i-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DuArVnT1i-E.m3u8/DuArVnT1i-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DuArVnT1i-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23926", "sha": "318ca6c15e59a7dafe6cea4a2322ae775a7a014c", "translated_description": "How variation can be introduced into a species.", "image_url": "https://img.youtube.com/vi/DuArVnT1i-E/hqdefault.jpg", "youtube_id": "DuArVnT1i-E", "content_kind": "Video", "readable_id": "variation-in-a-species"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "evolution-and-natural-selection", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax434de875", "topic_page_url": "/science/biology/evolution-and-natural-selection", "extended_slug": "science/biology/evolution-and-natural-selection", "slug": "evolution-and-natural-selection", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "39dd3763feff3d67f29d1bab77a1208ddecbdd92", "standalone_title": "Evolution and natural selection", "y_pos": 0.0, "current_revision_key": "39dd3763feff3d67f29d1bab77a1208ddecbdd92", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/cell-division", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/cell-division", "translated_standalone_title": "Cell division", "translated_title": "Cells and cell division", "gplus_url": "", "id": "x46f91fc6", "old_key_name": "L2jHh-opk6oimcpJIolfePoTKSy-5hUXwtCNgdQx", "hide": false, "title": "Cells and cell division", "child_data": [{"kind": "Video", "id": 23984}, {"kind": "Video", "id": 23982}, {"kind": "Video", "id": 23928}, {"kind": "Video", "id": 23930}, {"kind": "Video", "id": 23932}, {"kind": "Video", "id": 23934}, {"kind": "Video", "id": 23936}, {"kind": "Video", "id": 23938}], "children": [{"translated_youtube_id": "aubZU0iWtgI", "relative_url": "/video/diffusion-and-osmosis", "has_questions": false, "keywords": "diffusion, osmosis, hypertonic, hypotonic, solute, solvent, solution", "ka_url": "http://www.khanacademy.org/video/diffusion-and-osmosis", "duration": 1139, "translated_title": "Diffusion and osmosis", "translated_description_html": "Diffusion and Osmosis", "id": "23984", "description_html": "Diffusion and Osmosis", "title": "Diffusion and osmosis", "progress_key": "v23984", "edit_slug": "edit/v/23984", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Diffusion and Osmosis", "extra_properties": null, "node_slug": "v/diffusion-and-osmosis", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aubZU0iWtgI.mp4/aubZU0iWtgI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aubZU0iWtgI.mp4/aubZU0iWtgI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aubZU0iWtgI.m3u8/aubZU0iWtgI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aubZU0iWtgI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23984", "sha": "2c4845fff193b1715b083579b3a4073c33359872", "translated_description": "Diffusion and Osmosis", "image_url": "https://img.youtube.com/vi/aubZU0iWtgI/hqdefault.jpg", "youtube_id": "aubZU0iWtgI", "content_kind": "Video", "readable_id": "diffusion-and-osmosis"}, {"translated_youtube_id": "Hmwvj9X4GNY", "relative_url": "/video/parts-of-a-cell", "has_questions": false, "keywords": "nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles", "ka_url": "http://www.khanacademy.org/video/parts-of-a-cell", "duration": 1263, "translated_title": "Parts of a cell", "translated_description_html": "Parts of a cell: nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles", "id": "23982", "description_html": "Parts of a cell: nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles", "title": "Parts of a cell", "progress_key": "v23982", "edit_slug": "edit/v/23982", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parts of a cell: nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles", "extra_properties": null, "node_slug": "v/parts-of-a-cell", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hmwvj9X4GNY.mp4/Hmwvj9X4GNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hmwvj9X4GNY.mp4/Hmwvj9X4GNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hmwvj9X4GNY.m3u8/Hmwvj9X4GNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hmwvj9X4GNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23982", "sha": "784862e9634b782fc838cbfdf701e43d83d183b2", "translated_description": "Parts of a cell: nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles", "image_url": "https://img.youtube.com/vi/Hmwvj9X4GNY/hqdefault.jpg", "youtube_id": "Hmwvj9X4GNY", "content_kind": "Video", "readable_id": "parts-of-a-cell"}, {"translated_youtube_id": "s9HPNwXd9fk", "relative_url": "/video/chromosomes--chromatids--chromatin--etc", "has_questions": false, "keywords": "dna, evolution, biology, chromosomes", "ka_url": "http://www.khanacademy.org/video/chromosomes--chromatids--chromatin--etc", "duration": 1103, "translated_title": "Chromosomes, chromatids, chromatin, etc.", "translated_description_html": "The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication", "id": "23928", "description_html": "The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication", "title": "Chromosomes, chromatids, chromatin, etc.", "progress_key": "v23928", "edit_slug": "edit/v/23928", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication", "extra_properties": null, "node_slug": "v/chromosomes--chromatids--chromatin--etc", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s9HPNwXd9fk.mp4/s9HPNwXd9fk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s9HPNwXd9fk.mp4/s9HPNwXd9fk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s9HPNwXd9fk.m3u8/s9HPNwXd9fk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s9HPNwXd9fk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23928", "sha": "5b44489e4519878a41b3bad23b2b58d6d4e40fb7", "translated_description": "The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication", "image_url": "https://img.youtube.com/vi/s9HPNwXd9fk/hqdefault.jpg", "youtube_id": "s9HPNwXd9fk", "content_kind": "Video", "readable_id": "chromosomes--chromatids--chromatin--etc"}, {"translated_youtube_id": "kaSIjIzAtYA", "relative_url": "/video/mitosis--meiosis-and-sexual-reproduction", "has_questions": false, "keywords": "biology, mitosis, meiosis, haploid, diploid", "ka_url": "http://www.khanacademy.org/video/mitosis--meiosis-and-sexual-reproduction", "duration": 1103, "translated_title": "Mitosis, meiosis and sexual reproduction", "translated_description_html": "Mitosis, meiosis and sexual reproduction. Understanding gametes, zygotes, and haploid / diploid numbers.", "id": "23930", "description_html": "Mitosis, meiosis and sexual reproduction. Understanding gametes, zygotes, and haploid / diploid numbers.", "title": "Mitosis, meiosis and sexual reproduction", "progress_key": "v23930", "edit_slug": "edit/v/23930", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mitosis, meiosis and sexual reproduction. Understanding gametes, zygotes, and haploid / diploid numbers.", "extra_properties": null, "node_slug": "v/mitosis--meiosis-and-sexual-reproduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kaSIjIzAtYA.mp4/kaSIjIzAtYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kaSIjIzAtYA.mp4/kaSIjIzAtYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kaSIjIzAtYA.m3u8/kaSIjIzAtYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kaSIjIzAtYA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23930", "sha": "f7171c1e1d8a98d3f1e5872aba2d6644a93c928a", "translated_description": "Mitosis, meiosis and sexual reproduction. Understanding gametes, zygotes, and haploid / diploid numbers.", "image_url": "https://img.youtube.com/vi/kaSIjIzAtYA/hqdefault.jpg", "youtube_id": "kaSIjIzAtYA", "content_kind": "Video", "readable_id": "mitosis--meiosis-and-sexual-reproduction"}, {"translated_youtube_id": "LLKX_4DHE3I", "relative_url": "/video/phases-of-mitosis", "has_questions": false, "keywords": "mitosis", "ka_url": "http://www.khanacademy.org/video/phases-of-mitosis", "duration": 1242, "translated_title": "Phases of mitosis", "translated_description_html": "Explanation of the phases of mitosis.", "id": "23932", "description_html": "Explanation of the phases of mitosis.", "title": "Phases of mitosis", "progress_key": "v23932", "edit_slug": "edit/v/23932", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Explanation of the phases of mitosis.", "extra_properties": null, "node_slug": "v/phases-of-mitosis", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LLKX_4DHE3I.mp4/LLKX_4DHE3I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LLKX_4DHE3I.mp4/LLKX_4DHE3I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LLKX_4DHE3I.m3u8/LLKX_4DHE3I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LLKX_4DHE3I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23932", "sha": "06b3a49aafbddbf46e8f012bc1003ceb20c19f29", "translated_description": "Explanation of the phases of mitosis.", "image_url": "https://img.youtube.com/vi/LLKX_4DHE3I/hqdefault.jpg", "youtube_id": "LLKX_4DHE3I", "content_kind": "Video", "readable_id": "phases-of-mitosis"}, {"translated_youtube_id": "ijLc52LmFQg", "relative_url": "/video/phases-of-meiosis", "has_questions": false, "keywords": "meiosis, mitosis", "ka_url": "http://www.khanacademy.org/video/phases-of-meiosis", "duration": 1643, "translated_title": "Phases of meiosis", "translated_description_html": "The phases of Meiosis.", "id": "23934", "description_html": "The phases of Meiosis.", "title": "Phases of meiosis", "progress_key": "v23934", "edit_slug": "edit/v/23934", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The phases of Meiosis.", "extra_properties": null, "node_slug": "v/phases-of-meiosis", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ijLc52LmFQg.mp4/ijLc52LmFQg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ijLc52LmFQg.mp4/ijLc52LmFQg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ijLc52LmFQg.m3u8/ijLc52LmFQg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ijLc52LmFQg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23934", "sha": "98559cfd7dfbc52818615a0ffeac67f4fbf23c3a", "translated_description": "The phases of Meiosis.", "image_url": "https://img.youtube.com/vi/ijLc52LmFQg/hqdefault.jpg", "youtube_id": "ijLc52LmFQg", "content_kind": "Video", "readable_id": "phases-of-meiosis"}, {"translated_youtube_id": "-yCIMk1x0Pk", "relative_url": "/video/embryonic-stem-cells", "has_questions": false, "keywords": "biology, stem, cells, embryonic", "ka_url": "http://www.khanacademy.org/video/embryonic-stem-cells", "duration": 1194, "translated_title": "Embryonic stem cells", "translated_description_html": "An overview of early development of a zygote to an embryo. Embryonic and somatic stem cells.", "id": "23936", "description_html": "An overview of early development of a zygote to an embryo. Embryonic and somatic stem cells.", "title": "Embryonic stem cells", "progress_key": "v23936", "edit_slug": "edit/v/23936", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An overview of early development of a zygote to an embryo. Embryonic and somatic stem cells.", "extra_properties": null, "node_slug": "v/embryonic-stem-cells", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-yCIMk1x0Pk.mp4/-yCIMk1x0Pk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-yCIMk1x0Pk.mp4/-yCIMk1x0Pk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-yCIMk1x0Pk.m3u8/-yCIMk1x0Pk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-yCIMk1x0Pk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23936", "sha": "ab51a09384160131360b0f6c33bb278520c6969d", "translated_description": "An overview of early development of a zygote to an embryo. Embryonic and somatic stem cells.", "image_url": "https://img.youtube.com/vi/-yCIMk1x0Pk/hqdefault.jpg", "youtube_id": "-yCIMk1x0Pk", "content_kind": "Video", "readable_id": "embryonic-stem-cells"}, {"translated_youtube_id": "RZhL7LDPk8w", "relative_url": "/video/cancer", "has_questions": false, "keywords": "cancer, biology, mitosis", "ka_url": "http://www.khanacademy.org/video/cancer", "duration": 756, "translated_title": "Cancer", "translated_description_html": "An introduction to what cancer is and how it is the by-product of broken DNA replication", "id": "23938", "description_html": "An introduction to what cancer is and how it is the by-product of broken DNA replication", "title": "Cancer", "progress_key": "v23938", "edit_slug": "edit/v/23938", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to what cancer is and how it is the by-product of broken DNA replication", "extra_properties": null, "node_slug": "v/cancer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RZhL7LDPk8w.mp4/RZhL7LDPk8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RZhL7LDPk8w.mp4/RZhL7LDPk8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RZhL7LDPk8w.m3u8/RZhL7LDPk8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RZhL7LDPk8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23938", "sha": "bd01eb22b806b44acc7b0ba6c00090afb1f5e1d3", "translated_description": "An introduction to what cancer is and how it is the by-product of broken DNA replication", "image_url": "https://img.youtube.com/vi/RZhL7LDPk8w/hqdefault.jpg", "youtube_id": "RZhL7LDPk8w", "content_kind": "Video", "readable_id": "cancer"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cell-division", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax46f91fc6", "topic_page_url": "/science/biology/cell-division", "extended_slug": "science/biology/cell-division", "slug": "cell-division", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "947c4f8bb3d0991b15bc5b18a0fbdadc60372ab3", "standalone_title": "Cell division", "y_pos": 0.0, "current_revision_key": "947c4f8bb3d0991b15bc5b18a0fbdadc60372ab3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/heredity-and-genetics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/heredity-and-genetics", "translated_standalone_title": "Heredity and genetics", "translated_title": "Heredity and genetics", "gplus_url": "", "id": "xd0849fdb", "old_key_name": "r2K0ACDsQPpv4NN0DxZrBthUCiN-0lSdJfpl2fZm", "hide": false, "title": "Heredity and genetics", "child_data": [{"kind": "Video", "id": 23940}, {"kind": "Video", "id": 23942}, {"kind": "Video", "id": 23944}, {"kind": "Video", "id": 23946}, {"kind": "Video", "id": 731158676}, {"kind": "Video", "id": 731894705}, {"kind": "Video", "id": 731948961}, {"kind": "Video", "id": 731288926}], "children": [{"translated_youtube_id": "eEUvRrhmcxM", "relative_url": "/video/introduction-to-heredity", "has_questions": false, "keywords": "biology, heredity, genetics, genotype, phenotype, dominant, recessive", "ka_url": "http://www.khanacademy.org/video/introduction-to-heredity", "duration": 1047, "translated_title": "Introduction to heredity", "translated_description_html": "Heredity and Classical Genetics. Dominant and recessive traits. Heterozygous and homozygous genotypes.", "id": "23940", "description_html": "Heredity and Classical Genetics. Dominant and recessive traits. Heterozygous and homozygous genotypes.", "title": "Introduction to heredity", "progress_key": "v23940", "edit_slug": "edit/v/23940", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Heredity and Classical Genetics. Dominant and recessive traits. Heterozygous and homozygous genotypes.", "extra_properties": null, "node_slug": "v/introduction-to-heredity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eEUvRrhmcxM.mp4/eEUvRrhmcxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eEUvRrhmcxM.mp4/eEUvRrhmcxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eEUvRrhmcxM.m3u8/eEUvRrhmcxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eEUvRrhmcxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23940", "sha": "9f8ac30d2cceb112da3beaf5eb002ce847074b8e", "translated_description": "Heredity and Classical Genetics. Dominant and recessive traits. Heterozygous and homozygous genotypes.", "image_url": "https://img.youtube.com/vi/eEUvRrhmcxM/hqdefault.jpg", "youtube_id": "eEUvRrhmcxM", "content_kind": "Video", "readable_id": "introduction-to-heredity"}, {"translated_youtube_id": "D5ymMYcLtv0", "relative_url": "/video/punnett-square-fun", "has_questions": false, "keywords": "biology, heredity, genetics, genotype, phenotype, dominant, recessive", "ka_url": "http://www.khanacademy.org/video/punnett-square-fun", "duration": 1516, "translated_title": "Punnett square fun", "translated_description_html": "Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.", "id": "23942", "description_html": "Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.", "title": "Punnett square fun", "progress_key": "v23942", "edit_slug": "edit/v/23942", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.", "extra_properties": null, "node_slug": "v/punnett-square-fun", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.m3u8/D5ymMYcLtv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D5ymMYcLtv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23942", "sha": "6ecc7b7f08bd9ae1fd03186c7bec9b38dfb11d0e", "translated_description": "Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.", "image_url": "https://img.youtube.com/vi/D5ymMYcLtv0/hqdefault.jpg", "youtube_id": "D5ymMYcLtv0", "content_kind": "Video", "readable_id": "punnett-square-fun"}, {"translated_youtube_id": "4Kbruik_LOo", "relative_url": "/video/hardy-weinberg-principle", "has_questions": false, "keywords": "biology, genetics, hardy, weinberg", "ka_url": "http://www.khanacademy.org/video/hardy-weinberg-principle", "duration": 897, "translated_title": "Hardy-Weinberg principle", "translated_description_html": "Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.", "id": "23944", "description_html": "Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.", "title": "Hardy-Weinberg principle", "progress_key": "v23944", "edit_slug": "edit/v/23944", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.", "extra_properties": null, "node_slug": "v/hardy-weinberg-principle", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Kbruik_LOo.mp4/4Kbruik_LOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Kbruik_LOo.mp4/4Kbruik_LOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Kbruik_LOo.m3u8/4Kbruik_LOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Kbruik_LOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23944", "sha": "922973779e53f1b0d9cce69f969d1ac3e128c001", "translated_description": "Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.", "image_url": "https://img.youtube.com/vi/4Kbruik_LOo/hqdefault.jpg", "youtube_id": "4Kbruik_LOo", "content_kind": "Video", "readable_id": "hardy-weinberg-principle"}, {"translated_youtube_id": "-ROhfKyxgCo", "relative_url": "/video/sex-linked-traits", "has_questions": false, "keywords": "biology, mitosis, meiosis, haploid, diploid, sex-linked, trait", "ka_url": "http://www.khanacademy.org/video/sex-linked-traits", "duration": 859, "translated_title": "Sex-linked traits", "translated_description_html": "Chromosomal basis for gender. Sex-linked traits.", "id": "23946", "description_html": "Chromosomal basis for gender. Sex-linked traits.", "title": "Sex-linked traits", "progress_key": "v23946", "edit_slug": "edit/v/23946", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chromosomal basis for gender. Sex-linked traits.", "extra_properties": null, "node_slug": "v/sex-linked-traits", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-ROhfKyxgCo.mp4/-ROhfKyxgCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-ROhfKyxgCo.mp4/-ROhfKyxgCo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-ROhfKyxgCo.m3u8/-ROhfKyxgCo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-ROhfKyxgCo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23946", "sha": "fec8ac080b2748314368b109775bafea9ac2b9d8", "translated_description": "Chromosomal basis for gender. Sex-linked traits.", "image_url": "https://img.youtube.com/vi/-ROhfKyxgCo/hqdefault.jpg", "youtube_id": "-ROhfKyxgCo", "content_kind": "Video", "readable_id": "sex-linked-traits"}, {"translated_youtube_id": "ubq4eu_TDFc", "relative_url": "/video/genetics-101-part-1--what-are-genes", "has_questions": false, "keywords": "genetics, genomics, snps, genotype, phenotype, DNA", "ka_url": "http://www.khanacademy.org/video/genetics-101-part-1--what-are-genes", "duration": 266, "translated_title": "Genetics 101 part 1: What are genes?", "translated_description_html": "

Find out about the basics of cells, chromosomes, and the genes contained in your DNA.<\/p>\n", "id": "731158676", "description_html": "

Find out about the basics of cells, chromosomes, and the genes contained in your DNA.<\/p>\n", "title": "Genetics 101 part 1: What are genes?", "progress_key": "v731158676", "edit_slug": "edit/v/731158676", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out about the basics of cells, chromosomes, and the genes contained in your DNA.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/genetics-101-part-1--what-are-genes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-18T22:38:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ubq4eu_TDFc.mp4/ubq4eu_TDFc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ubq4eu_TDFc.mp4/ubq4eu_TDFc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ubq4eu_TDFc.m3u8/ubq4eu_TDFc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ubq4eu_TDFc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731158676", "sha": "32a9a09463a87a191764f20db85011ec3539440c", "translated_description": "Find out about the basics of cells, chromosomes, and the genes contained in your DNA.\n", "image_url": "https://img.youtube.com/vi/ubq4eu_TDFc/hqdefault.jpg", "youtube_id": "ubq4eu_TDFc", "content_kind": "Video", "readable_id": "genetics-101-part-1--what-are-genes"}, {"translated_youtube_id": "tJjXpiWKMyA", "relative_url": "/video/genetics-101-part-2--what-are-snps", "has_questions": false, "keywords": "genetics, genomics, DNA, snps", "ka_url": "http://www.khanacademy.org/video/genetics-101-part-2--what-are-snps", "duration": 121, "translated_title": "Genetics 101 part 2: What are SNPs?", "translated_description_html": "

Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.<\/p>\n", "id": "731894705", "description_html": "

Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.<\/p>\n", "title": "Genetics 101 part 2: What are SNPs?", "progress_key": "v731894705", "edit_slug": "edit/v/731894705", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/genetics-101-part-2--what-are-snps", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-04-19T03:06:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tJjXpiWKMyA.mp4/tJjXpiWKMyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tJjXpiWKMyA.mp4/tJjXpiWKMyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tJjXpiWKMyA.m3u8/tJjXpiWKMyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tJjXpiWKMyA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731894705", "sha": "5a7259cf1acda272612e6fadbaa01f71de9d93e7", "translated_description": "Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.\n", "image_url": "https://img.youtube.com/vi/tJjXpiWKMyA/hqdefault.jpg", "youtube_id": "tJjXpiWKMyA", "content_kind": "Video", "readable_id": "genetics-101-part-2--what-are-snps"}, {"translated_youtube_id": "-Yg89GY61DE", "relative_url": "/video/genetics-101-part-3--where-do-your-genes-come-from", "has_questions": false, "keywords": "genetics, genomics, dna, genes", "ka_url": "http://www.khanacademy.org/video/genetics-101-part-3--where-do-your-genes-come-from", "duration": 261, "translated_title": "Genetics 101 part 3: Where do your genes come from?", "translated_description_html": "

Find out how chromosomes and genes are passed down from parent to child.<\/p>\n", "id": "731948961", "description_html": "

Find out how chromosomes and genes are passed down from parent to child.<\/p>\n", "title": "Genetics 101 part 3: Where do your genes come from?", "progress_key": "v731948961", "edit_slug": "edit/v/731948961", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how chromosomes and genes are passed down from parent to child.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/genetics-101-part-3--where-do-your-genes-come-from", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-19T03:07:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-Yg89GY61DE.mp4/-Yg89GY61DE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-Yg89GY61DE.mp4/-Yg89GY61DE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-Yg89GY61DE.m3u8/-Yg89GY61DE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-Yg89GY61DE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731948961", "sha": "9825ec8f43487851584c261beaf46aa7b2e1c3e7", "translated_description": "Find out how chromosomes and genes are passed down from parent to child.\n", "image_url": "https://img.youtube.com/vi/-Yg89GY61DE/hqdefault.jpg", "youtube_id": "-Yg89GY61DE", "content_kind": "Video", "readable_id": "genetics-101-part-3--where-do-your-genes-come-from"}, {"translated_youtube_id": "kLpr6t4-eLI", "relative_url": "/video/genetics-101-part-4--what-are-phenotypes", "has_questions": false, "keywords": "genetics, genes, genomics, DNA, snps", "ka_url": "http://www.khanacademy.org/video/genetics-101-part-4--what-are-phenotypes", "duration": 124, "translated_title": "Genetics 101 part 4: What are phenotypes?", "translated_description_html": "

Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.<\/p>\n", "id": "731288926", "description_html": "

Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.<\/p>\n", "title": "Genetics 101 part 4: What are phenotypes?", "progress_key": "v731288926", "edit_slug": "edit/v/731288926", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/genetics-101-part-4--what-are-phenotypes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-18T22:52:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kLpr6t4-eLI.mp4/kLpr6t4-eLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kLpr6t4-eLI.mp4/kLpr6t4-eLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kLpr6t4-eLI.m3u8/kLpr6t4-eLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kLpr6t4-eLI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731288926", "sha": "7e438e18e4c7295ad167c37d19f2d3bf389c8036", "translated_description": "Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.\n", "image_url": "https://img.youtube.com/vi/kLpr6t4-eLI/hqdefault.jpg", "youtube_id": "kLpr6t4-eLI", "content_kind": "Video", "readable_id": "genetics-101-part-4--what-are-phenotypes"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "heredity-and-genetics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd0849fdb", "topic_page_url": "/science/biology/heredity-and-genetics", "extended_slug": "science/biology/heredity-and-genetics", "slug": "heredity-and-genetics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6d673ffd7ec4141a9c1d4fd6a194c4f38bd234de", "standalone_title": "Heredity and genetics", "y_pos": 0.0, "current_revision_key": "6d673ffd7ec4141a9c1d4fd6a194c4f38bd234de", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/tree-of-life", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/tree-of-life", "translated_standalone_title": "Tree of life", "translated_title": "Tree of life", "gplus_url": "", "id": "xef180f38", "old_key_name": "TRHDuOOA7sSTmx7YVDkoTI83oi0eQXj2GYPMh4Lx", "hide": false, "title": "Tree of life", "child_data": [{"kind": "Video", "id": 351477593}, {"kind": "Video", "id": 351477592}, {"kind": "Video", "id": 23948}, {"kind": "Video", "id": 23950}, {"kind": "Video", "id": 731266298}, {"kind": "Video", "id": 731151623}, {"kind": "Video", "id": 731161734}, {"kind": "Video", "id": 731231828}, {"kind": "Video", "id": 731130609}], "children": [{"translated_youtube_id": "oHvLlS_Sc54", "relative_url": "/video/taxonomy-and-the-tree-of-life", "has_questions": false, "keywords": "homo, sapiens, eukaryotes, primates, mammals, chordates", "ka_url": "http://www.khanacademy.org/video/taxonomy-and-the-tree-of-life", "duration": 761, "translated_title": "Taxonomy and the tree of life", "translated_description_html": "The science of taxonomy and where humans fit into the tree of life", "id": "351477593", "description_html": "The science of taxonomy and where humans fit into the tree of life", "title": "Taxonomy and the tree of life", "progress_key": "v351477593", "edit_slug": "edit/v/351477593", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The science of taxonomy and where humans fit into the tree of life", "extra_properties": null, "node_slug": "v/taxonomy-and-the-tree-of-life", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-02T10:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oHvLlS_Sc54.mp4/oHvLlS_Sc54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oHvLlS_Sc54.mp4/oHvLlS_Sc54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oHvLlS_Sc54.m3u8/oHvLlS_Sc54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oHvLlS_Sc54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351477593", "sha": "5dc19a2d9ae61d597a78cd63ee268da04cd1ffbd", "translated_description": "The science of taxonomy and where humans fit into the tree of life", "image_url": "https://img.youtube.com/vi/oHvLlS_Sc54/hqdefault.jpg", "youtube_id": "oHvLlS_Sc54", "content_kind": "Video", "readable_id": "taxonomy-and-the-tree-of-life"}, {"translated_youtube_id": "Tmt4zrDK3dA", "relative_url": "/video/species", "has_questions": false, "keywords": "taxonomy", "ka_url": "http://www.khanacademy.org/video/species", "duration": 529, "translated_title": "Species", "translated_description_html": "What a species is and isn't. Ligers, tiglons, mule, hinnies, and dogs", "id": "351477592", "description_html": "What a species is and isn't. Ligers, tiglons, mule, hinnies, and dogs", "title": "Species", "progress_key": "v351477592", "edit_slug": "edit/v/351477592", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What a species is and isn't. Ligers, tiglons, mule, hinnies, and dogs", "extra_properties": null, "node_slug": "v/species", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-02T10:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tmt4zrDK3dA.mp4/Tmt4zrDK3dA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tmt4zrDK3dA.mp4/Tmt4zrDK3dA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tmt4zrDK3dA.m3u8/Tmt4zrDK3dA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tmt4zrDK3dA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351477592", "sha": "d03833af78b1a778dc94ff8e129b4db8bd33a53f", "translated_description": "What a species is and isn't. Ligers, tiglons, mule, hinnies, and dogs", "image_url": "https://img.youtube.com/vi/Tmt4zrDK3dA/hqdefault.jpg", "youtube_id": "Tmt4zrDK3dA", "content_kind": "Video", "readable_id": "species"}, {"translated_youtube_id": "TDoGrbpJJ14", "relative_url": "/video/bacteria", "has_questions": false, "keywords": "biology, bacteria", "ka_url": "http://www.khanacademy.org/video/bacteria", "duration": 1106, "translated_title": "Bacteria", "translated_description_html": "Introduction to bacteria", "id": "23948", "description_html": "Introduction to bacteria", "title": "Bacteria", "progress_key": "v23948", "edit_slug": "edit/v/23948", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to bacteria", "extra_properties": null, "node_slug": "v/bacteria", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TDoGrbpJJ14.mp4/TDoGrbpJJ14.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TDoGrbpJJ14.mp4/TDoGrbpJJ14.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TDoGrbpJJ14.m3u8/TDoGrbpJJ14.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TDoGrbpJJ14&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23948", "sha": "35b5c9306063f02453c0b8d507bd2774ec8189dc", "translated_description": "Introduction to bacteria", "image_url": "https://img.youtube.com/vi/TDoGrbpJJ14/hqdefault.jpg", "youtube_id": "TDoGrbpJJ14", "content_kind": "Video", "readable_id": "bacteria"}, {"translated_youtube_id": "0h5Jd7sgQWY", "relative_url": "/video/viruses", "has_questions": false, "keywords": "biology, virus, viruses", "ka_url": "http://www.khanacademy.org/video/viruses", "duration": 1397, "translated_title": "Viruses", "translated_description_html": "Introduction to viruses", "id": "23950", "description_html": "Introduction to viruses", "title": "Viruses", "progress_key": "v23950", "edit_slug": "edit/v/23950", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to viruses", "extra_properties": null, "node_slug": "v/viruses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.mp4/0h5Jd7sgQWY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.mp4/0h5Jd7sgQWY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.m3u8/0h5Jd7sgQWY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0h5Jd7sgQWY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23950", "sha": "cd8443d13d1706a88ec03a1fff26af1bb289404b", "translated_description": "Introduction to viruses", "image_url": "https://img.youtube.com/vi/0h5Jd7sgQWY/hqdefault.jpg", "youtube_id": "0h5Jd7sgQWY", "content_kind": "Video", "readable_id": "viruses"}, {"translated_youtube_id": "Mm-IxK1GrYE", "relative_url": "/video/human-prehistory-101--prologue", "has_questions": false, "keywords": "genetics, DNA, ancestry, education, genes, chimpanzee, neanderthal, testing, kit, test, ancestor, genomics", "ka_url": "http://www.khanacademy.org/video/human-prehistory-101--prologue", "duration": 281, "translated_title": "Human prehistory 101: Prologue", "translated_description_html": "

Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?<\/p>\n", "id": "731266298", "description_html": "

Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?<\/p>\n", "title": "Human prehistory 101: Prologue", "progress_key": "v731266298", "edit_slug": "edit/v/731266298", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/human-prehistory-101--prologue", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-18T22:34:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mm-IxK1GrYE.mp4/Mm-IxK1GrYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mm-IxK1GrYE.mp4/Mm-IxK1GrYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mm-IxK1GrYE.m3u8/Mm-IxK1GrYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mm-IxK1GrYE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731266298", "sha": "908cc50f61517aa56e54ff4c46b4190cc1937cd8", "translated_description": "Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?\n", "image_url": "https://img.youtube.com/vi/Mm-IxK1GrYE/hqdefault.jpg", "youtube_id": "Mm-IxK1GrYE", "content_kind": "Video", "readable_id": "human-prehistory-101--prologue"}, {"translated_youtube_id": "8183HPmA2_I", "relative_url": "/video/human-prehistory-101-part-1--out-of--eastern--africa", "has_questions": false, "keywords": "genetics, dna, testing, kit, genome, test, prehistory, ancestry, decode, navigenics, genomics", "ka_url": "http://www.khanacademy.org/video/human-prehistory-101-part-1--out-of--eastern--africa", "duration": 335, "translated_title": "Human prehistory 101 part 1: Out of (eastern) Africa", "translated_description_html": "

Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?<\/p>\n", "id": "731151623", "description_html": "

Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?<\/p>\n", "title": "Human prehistory 101 part 1: Out of (eastern) Africa", "progress_key": "v731151623", "edit_slug": "edit/v/731151623", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/human-prehistory-101-part-1--out-of--eastern--africa", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-18T22:35:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8183HPmA2_I.mp4/8183HPmA2_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8183HPmA2_I.mp4/8183HPmA2_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8183HPmA2_I.m3u8/8183HPmA2_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8183HPmA2_I&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731151623", "sha": "08f47000619813ee1250791e095e2169dcec849a", "translated_description": "Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?\n", "image_url": "https://img.youtube.com/vi/8183HPmA2_I/hqdefault.jpg", "youtube_id": "8183HPmA2_I", "content_kind": "Video", "readable_id": "human-prehistory-101-part-1--out-of--eastern--africa"}, {"translated_youtube_id": "T9Nw66RCMhg", "relative_url": "/video/human-prehistory-101-part-2--weathering-the-storm", "has_questions": false, "keywords": "genetics, dna, testing, kit, genome, test, prehistory, ancestry, genomics", "ka_url": "http://www.khanacademy.org/video/human-prehistory-101-part-2--weathering-the-storm", "duration": 205, "translated_title": "Human prehistory 101 part 2: Weathering the storm", "translated_description_html": "

Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.<\/p>\n", "id": "731161734", "description_html": "

Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.<\/p>\n", "title": "Human prehistory 101 part 2: Weathering the storm", "progress_key": "v731161734", "edit_slug": "edit/v/731161734", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/human-prehistory-101-part-2--weathering-the-storm", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-18T22:35:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T9Nw66RCMhg.mp4/T9Nw66RCMhg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T9Nw66RCMhg.mp4/T9Nw66RCMhg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T9Nw66RCMhg.m3u8/T9Nw66RCMhg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T9Nw66RCMhg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731161734", "sha": "8f875401052b5ca4b7bf94781c473a4e2bf8f74c", "translated_description": "Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.\n", "image_url": "https://img.youtube.com/vi/T9Nw66RCMhg/hqdefault.jpg", "youtube_id": "T9Nw66RCMhg", "content_kind": "Video", "readable_id": "human-prehistory-101-part-2--weathering-the-storm"}, {"translated_youtube_id": "IVHD9wGlbho", "relative_url": "/video/human-prehistory-101-part-3--agriculture-rocks-our-world", "has_questions": false, "keywords": "Khan, prehistory, part3", "ka_url": "http://www.khanacademy.org/video/human-prehistory-101-part-3--agriculture-rocks-our-world", "duration": 421, "translated_title": "Human prehistory 101 part 3: Agriculture rocks our world", "translated_description_html": "", "id": "731231828", "description_html": "", "title": "Human prehistory 101 part 3: Agriculture rocks our world", "progress_key": "v731231828", "edit_slug": "edit/v/731231828", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/human-prehistory-101-part-3--agriculture-rocks-our-world", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-18T22:36:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IVHD9wGlbho.mp4/IVHD9wGlbho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IVHD9wGlbho.mp4/IVHD9wGlbho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IVHD9wGlbho.m3u8/IVHD9wGlbho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IVHD9wGlbho&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731231828", "sha": "d8e28d992c7c07275328cef71feec12788bd69c5", "translated_description": "", "image_url": "https://img.youtube.com/vi/IVHD9wGlbho/hqdefault.jpg", "youtube_id": "IVHD9wGlbho", "content_kind": "Video", "readable_id": "human-prehistory-101-part-3--agriculture-rocks-our-world"}, {"translated_youtube_id": "F-zRXHAo4-U", "relative_url": "/video/human-prehistory-101--epilogue", "has_questions": false, "keywords": "Khan, prehistory, epilogue", "ka_url": "http://www.khanacademy.org/video/human-prehistory-101--epilogue", "duration": 166, "translated_title": "Human prehistory 101: Epilogue", "translated_description_html": "", "id": "731130609", "description_html": "", "title": "Human prehistory 101: Epilogue", "progress_key": "v731130609", "edit_slug": "edit/v/731130609", "author_names": ["23andMe"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/human-prehistory-101--epilogue", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-18T22:33:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F-zRXHAo4-U.mp4/F-zRXHAo4-U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F-zRXHAo4-U.mp4/F-zRXHAo4-U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F-zRXHAo4-U.m3u8/F-zRXHAo4-U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F-zRXHAo4-U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v731130609", "sha": "35f2230b8cdd57591cafeb0053ec8592d4d927a3", "translated_description": "", "image_url": "https://img.youtube.com/vi/F-zRXHAo4-U/hqdefault.jpg", "youtube_id": "F-zRXHAo4-U", "content_kind": "Video", "readable_id": "human-prehistory-101--epilogue"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "tree-of-life", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef180f38", "topic_page_url": "/science/biology/tree-of-life", "extended_slug": "science/biology/tree-of-life", "slug": "tree-of-life", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8ea28748a3ef156b80c4d41efa85ccae06be39eb", "standalone_title": "Tree of life", "y_pos": 0.0, "current_revision_key": "8ea28748a3ef156b80c4d41efa85ccae06be39eb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/cellular-respiration", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/cellular-respiration", "translated_standalone_title": "Cellular respiration", "translated_title": "Cellular respiration", "gplus_url": "", "id": "xf3157fab", "old_key_name": "jmI20gDbFOUgitr512qk9aYP13div50MKd6ubKDS", "hide": false, "title": "Cellular respiration", "child_data": [{"kind": "Video", "id": 23952}, {"kind": "Video", "id": 23954}, {"kind": "Video", "id": 23956}, {"kind": "Video", "id": 23958}, {"kind": "Video", "id": 23962}, {"kind": "Video", "id": 23960}, {"kind": "Video", "id": 23964}, {"kind": "Video", "id": 23966}], "children": [{"translated_youtube_id": "YQfWiDlFEcA", "relative_url": "/video/atp", "has_questions": false, "keywords": "ATP, Adenosine, Triphosphate", "ka_url": "http://www.khanacademy.org/video/atp", "duration": 815, "translated_title": "ATP: Adenosine triphosphate", "translated_description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "id": "23952", "description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "title": "ATP: Adenosine triphosphate", "progress_key": "v23952", "edit_slug": "edit/v/23952", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to ATP or Adenosine Triphosphate. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/atp", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.m3u8/YQfWiDlFEcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YQfWiDlFEcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23952", "sha": "44abffc895111276a588e0b81ca329e5844eb1a3", "translated_description": "Introduction to ATP or Adenosine Triphosphate. \n", "image_url": "https://img.youtube.com/vi/YQfWiDlFEcA/hqdefault.jpg", "youtube_id": "YQfWiDlFEcA", "content_kind": "Video", "readable_id": "atp"}, {"translated_youtube_id": "2f7YwCtHcgk", "relative_url": "/video/introduction-to-cellular-respiration", "has_questions": false, "keywords": "cellular, respiration, glycolysis, kreb's, cycle, electron, transport, chain", "ka_url": "http://www.khanacademy.org/video/introduction-to-cellular-respiration", "duration": 859, "translated_title": "Introduction to cellular respiration", "translated_description_html": "Introduction to cellular respiration, glycolysis, the Kreb's Cycle, and the electron transport chain", "id": "23954", "description_html": "Introduction to cellular respiration, glycolysis, the Kreb's Cycle, and the electron transport chain", "title": "Introduction to cellular respiration", "progress_key": "v23954", "edit_slug": "edit/v/23954", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to cellular respiration, glycolysis, the Kreb's Cycle, and the electron transport chain", "extra_properties": null, "node_slug": "v/introduction-to-cellular-respiration", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2f7YwCtHcgk.mp4/2f7YwCtHcgk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2f7YwCtHcgk.mp4/2f7YwCtHcgk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2f7YwCtHcgk.m3u8/2f7YwCtHcgk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2f7YwCtHcgk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23954", "sha": "85701a978e5ccb74ed7d56771ed810160867b354", "translated_description": "Introduction to cellular respiration, glycolysis, the Kreb's Cycle, and the electron transport chain", "image_url": "https://img.youtube.com/vi/2f7YwCtHcgk/hqdefault.jpg", "youtube_id": "2f7YwCtHcgk", "content_kind": "Video", "readable_id": "introduction-to-cellular-respiration"}, {"translated_youtube_id": "orI2m6IarJg", "relative_url": "/video/oxidation-and-reduction-from-biological-view", "has_questions": false, "keywords": "oxidation, reduction", "ka_url": "http://www.khanacademy.org/video/oxidation-and-reduction-from-biological-view", "duration": 809, "translated_title": "Oxidation and reduction review from biological point-of-view", "translated_description_html": "

Taking a looking at oxidation and reduction in a biological context. <\/span><\/p>\n", "id": "23956", "description_html": "

Taking a looking at oxidation and reduction in a biological context. <\/span><\/p>\n", "title": "Oxidation and reduction review from biological point-of-view", "progress_key": "v23956", "edit_slug": "edit/v/23956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking a looking at oxidation and reduction in a biological context. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/oxidation-and-reduction-from-biological-view", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.mp4/orI2m6IarJg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.mp4/orI2m6IarJg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.m3u8/orI2m6IarJg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=orI2m6IarJg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23956", "sha": "d89aea7b97e23da154323eed169bc6e99419b1f0", "translated_description": "Taking a looking at oxidation and reduction in a biological context. \n", "image_url": "https://img.youtube.com/vi/orI2m6IarJg/hqdefault.jpg", "youtube_id": "orI2m6IarJg", "content_kind": "Video", "readable_id": "oxidation-and-reduction-from-biological-view"}, {"translated_youtube_id": "_KyyVhlUDNU", "relative_url": "/video/oxidation-and-reduction-in-cellular-respiration", "has_questions": false, "keywords": "oxidation, reduction, cellular, respiration", "ka_url": "http://www.khanacademy.org/video/oxidation-and-reduction-in-cellular-respiration", "duration": 1028, "translated_title": "Oxidation and reduction in cellular respiration", "translated_description_html": "Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction.", "id": "23958", "description_html": "Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction.", "title": "Oxidation and reduction in cellular respiration", "progress_key": "v23958", "edit_slug": "edit/v/23958", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction.", "extra_properties": null, "node_slug": "v/oxidation-and-reduction-in-cellular-respiration", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_KyyVhlUDNU.mp4/_KyyVhlUDNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_KyyVhlUDNU.mp4/_KyyVhlUDNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_KyyVhlUDNU.m3u8/_KyyVhlUDNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_KyyVhlUDNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23958", "sha": "ad192dedc05031f8622edc426ec72f19105e4d48", "translated_description": "Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction.", "image_url": "https://img.youtube.com/vi/_KyyVhlUDNU/hqdefault.jpg", "youtube_id": "_KyyVhlUDNU", "content_kind": "Video", "readable_id": "oxidation-and-reduction-in-cellular-respiration"}, {"translated_youtube_id": "juM2ROSLWfw", "relative_url": "/video/krebs---citric-acid-cycle", "has_questions": false, "keywords": "Krebs, citric, acid, cycle", "ka_url": "http://www.khanacademy.org/video/krebs---citric-acid-cycle", "duration": 1067, "translated_title": "Krebs / citric acid cycle", "translated_description_html": "Overview of the Krebs or Citric Acid Cycle", "id": "23962", "description_html": "Overview of the Krebs or Citric Acid Cycle", "title": "Krebs / citric acid cycle", "progress_key": "v23962", "edit_slug": "edit/v/23962", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the Krebs or Citric Acid Cycle", "extra_properties": null, "node_slug": "v/krebs---citric-acid-cycle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/juM2ROSLWfw.mp4/juM2ROSLWfw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/juM2ROSLWfw.mp4/juM2ROSLWfw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/juM2ROSLWfw.m3u8/juM2ROSLWfw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=juM2ROSLWfw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23962", "sha": "af9184d85b1f5f980b5194aa15d8e2ac5580edd8", "translated_description": "Overview of the Krebs or Citric Acid Cycle", "image_url": "https://img.youtube.com/vi/juM2ROSLWfw/hqdefault.jpg", "youtube_id": "juM2ROSLWfw", "content_kind": "Video", "readable_id": "krebs---citric-acid-cycle"}, {"translated_youtube_id": "FE2jfTXAJHg", "relative_url": "/video/glycolysis", "has_questions": false, "keywords": "glycolysis, cellular, respiration", "ka_url": "http://www.khanacademy.org/video/glycolysis", "duration": 810, "translated_title": "Glycolysis", "translated_description_html": "Overview of glycolysis", "id": "23960", "description_html": "Overview of glycolysis", "title": "Glycolysis", "progress_key": "v23960", "edit_slug": "edit/v/23960", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of glycolysis", "extra_properties": null, "node_slug": "v/glycolysis", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FE2jfTXAJHg.mp4/FE2jfTXAJHg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FE2jfTXAJHg.mp4/FE2jfTXAJHg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FE2jfTXAJHg.m3u8/FE2jfTXAJHg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FE2jfTXAJHg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23960", "sha": "f51db73fa7a32514244ec2a869bc27a438fb4554", "translated_description": "Overview of glycolysis", "image_url": "https://img.youtube.com/vi/FE2jfTXAJHg/hqdefault.jpg", "youtube_id": "FE2jfTXAJHg", "content_kind": "Video", "readable_id": "glycolysis"}, {"translated_youtube_id": "mfgCcFXUZRk", "relative_url": "/video/electron-transport-chain", "has_questions": false, "keywords": "Electron, Transport, Chain", "ka_url": "http://www.khanacademy.org/video/electron-transport-chain", "duration": 1036, "translated_title": "Electron transport chain", "translated_description_html": "Overview of the Electron Transport Chain", "id": "23964", "description_html": "Overview of the Electron Transport Chain", "title": "Electron transport chain", "progress_key": "v23964", "edit_slug": "edit/v/23964", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the Electron Transport Chain", "extra_properties": null, "node_slug": "v/electron-transport-chain", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mfgCcFXUZRk.mp4/mfgCcFXUZRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mfgCcFXUZRk.mp4/mfgCcFXUZRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mfgCcFXUZRk.m3u8/mfgCcFXUZRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mfgCcFXUZRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23964", "sha": "16280d632d45ee92faee013a469c0d43e12efe3d", "translated_description": "Overview of the Electron Transport Chain", "image_url": "https://img.youtube.com/vi/mfgCcFXUZRk/hqdefault.jpg", "youtube_id": "mfgCcFXUZRk", "content_kind": "Video", "readable_id": "electron-transport-chain"}, {"translated_youtube_id": "W_Q17tqw_7A", "relative_url": "/video/oxidative-phosphorylation-and-chemiosmosis", "has_questions": false, "keywords": "oxidative, phosphorylation, chemiosmosis", "ka_url": "http://www.khanacademy.org/video/oxidative-phosphorylation-and-chemiosmosis", "duration": 299, "translated_title": "Oxidative phosphorylation and chemiosmosis", "translated_description_html": "Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video)", "id": "23966", "description_html": "Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video)", "title": "Oxidative phosphorylation and chemiosmosis", "progress_key": "v23966", "edit_slug": "edit/v/23966", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video)", "extra_properties": null, "node_slug": "v/oxidative-phosphorylation-and-chemiosmosis", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W_Q17tqw_7A.mp4/W_Q17tqw_7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W_Q17tqw_7A.mp4/W_Q17tqw_7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W_Q17tqw_7A.m3u8/W_Q17tqw_7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W_Q17tqw_7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23966", "sha": "714d94529aaf26ab999f7e830ec567347cdd2a36", "translated_description": "Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video)", "image_url": "https://img.youtube.com/vi/W_Q17tqw_7A/hqdefault.jpg", "youtube_id": "W_Q17tqw_7A", "content_kind": "Video", "readable_id": "oxidative-phosphorylation-and-chemiosmosis"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "cellular-respiration", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf3157fab", "topic_page_url": "/science/biology/cellular-respiration", "extended_slug": "science/biology/cellular-respiration", "slug": "cellular-respiration", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6b65a2fdfe36ef531f0bfa1f726da333370e2f3a", "standalone_title": "Cellular respiration", "y_pos": 0.0, "current_revision_key": "6b65a2fdfe36ef531f0bfa1f726da333370e2f3a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/photosynthesis", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/photosynthesis", "translated_standalone_title": "Photosynthesis", "translated_title": "Photosynthesis", "gplus_url": "", "id": "xf73fecc9", "old_key_name": "MxmES6GhqX73qhFNBgCwXRMbfVw9mijkKvmKACMp", "hide": false, "title": "Photosynthesis", "child_data": [{"kind": "Video", "id": 23952}, {"kind": "Video", "id": 23968}, {"kind": "Video", "id": 23970}, {"kind": "Video", "id": 23972}, {"kind": "Video", "id": 23974}, {"kind": "Video", "id": 23976}, {"kind": "Video", "id": 23978}, {"kind": "Video", "id": 23980}], "children": [{"translated_youtube_id": "YQfWiDlFEcA", "relative_url": "/video/atp", "has_questions": false, "keywords": "ATP, Adenosine, Triphosphate", "ka_url": "http://www.khanacademy.org/video/atp", "duration": 815, "translated_title": "ATP: Adenosine triphosphate", "translated_description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "id": "23952", "description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "title": "ATP: Adenosine triphosphate", "progress_key": "v23952", "edit_slug": "edit/v/23952", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to ATP or Adenosine Triphosphate. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/atp", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.m3u8/YQfWiDlFEcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YQfWiDlFEcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23952", "sha": "44abffc895111276a588e0b81ca329e5844eb1a3", "translated_description": "Introduction to ATP or Adenosine Triphosphate. \n", "image_url": "https://img.youtube.com/vi/YQfWiDlFEcA/hqdefault.jpg", "youtube_id": "YQfWiDlFEcA", "content_kind": "Video", "readable_id": "atp"}, {"translated_youtube_id": "-rsYk4eCKnA", "relative_url": "/video/photosynthesis", "has_questions": false, "keywords": "photosynthesis, biology", "ka_url": "http://www.khanacademy.org/video/photosynthesis", "duration": 818, "translated_title": "Photosynthesis", "translated_description_html": "Overview of photosynthesis", "id": "23968", "description_html": "Overview of photosynthesis", "title": "Photosynthesis", "progress_key": "v23968", "edit_slug": "edit/v/23968", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of photosynthesis", "extra_properties": {"original_url": ""}, "node_slug": "v/photosynthesis", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-rsYk4eCKnA.mp4/-rsYk4eCKnA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-rsYk4eCKnA.mp4/-rsYk4eCKnA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-rsYk4eCKnA.m3u8/-rsYk4eCKnA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-rsYk4eCKnA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23968", "sha": "94a1ca71ebe80d455eb3971ee02bb65975b55a3b", "translated_description": "Overview of photosynthesis", "image_url": "https://img.youtube.com/vi/-rsYk4eCKnA/hqdefault.jpg", "youtube_id": "-rsYk4eCKnA", "content_kind": "Video", "readable_id": "photosynthesis"}, {"translated_youtube_id": "GR2GA7chA_c", "relative_url": "/video/photosynthesis--light-reactions-1", "has_questions": false, "keywords": "light, reaction, photosynthesis", "ka_url": "http://www.khanacademy.org/video/photosynthesis--light-reactions-1", "duration": 1216, "translated_title": "Photosynthesis: Light reactions 1", "translated_description_html": "Details on the light-dependent reactions of photosynthesis", "id": "23970", "description_html": "Details on the light-dependent reactions of photosynthesis", "title": "Photosynthesis: Light reactions 1", "progress_key": "v23970", "edit_slug": "edit/v/23970", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Details on the light-dependent reactions of photosynthesis", "extra_properties": null, "node_slug": "v/photosynthesis--light-reactions-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GR2GA7chA_c.mp4/GR2GA7chA_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GR2GA7chA_c.mp4/GR2GA7chA_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GR2GA7chA_c.m3u8/GR2GA7chA_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GR2GA7chA_c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23970", "sha": "647081aa356677974ba92867512557279588d1b5", "translated_description": "Details on the light-dependent reactions of photosynthesis", "image_url": "https://img.youtube.com/vi/GR2GA7chA_c/hqdefault.jpg", "youtube_id": "GR2GA7chA_c", "content_kind": "Video", "readable_id": "photosynthesis--light-reactions-1"}, {"translated_youtube_id": "yfR36PMWegg", "relative_url": "/video/photosynthesis---light-reactions-and-photophosphorylation", "has_questions": false, "keywords": "chlorophyll, photosynthesis, light, reactions, photophophorylation", "ka_url": "http://www.khanacademy.org/video/photosynthesis---light-reactions-and-photophosphorylation", "duration": 1131, "translated_title": "Photosynthesis: Light reactions and photophosphorylation", "translated_description_html": "More detail on the light reactions and photophorylation", "id": "23972", "description_html": "More detail on the light reactions and photophorylation", "title": "Photosynthesis: Light reactions and photophosphorylation", "progress_key": "v23972", "edit_slug": "edit/v/23972", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More detail on the light reactions and photophorylation", "extra_properties": null, "node_slug": "v/photosynthesis---light-reactions-and-photophosphorylation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yfR36PMWegg.mp4/yfR36PMWegg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yfR36PMWegg.mp4/yfR36PMWegg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yfR36PMWegg.m3u8/yfR36PMWegg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yfR36PMWegg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23972", "sha": "5a50d79247570b5aab6a2e479e6946e3cb263841", "translated_description": "More detail on the light reactions and photophorylation", "image_url": "https://img.youtube.com/vi/yfR36PMWegg/hqdefault.jpg", "youtube_id": "yfR36PMWegg", "content_kind": "Video", "readable_id": "photosynthesis---light-reactions-and-photophosphorylation"}, {"translated_youtube_id": "slm6D2VEXYs", "relative_url": "/video/photosynthesis---calvin-cycle", "has_questions": false, "keywords": "photosynthesis, dark, reactions, calvin, cycle", "ka_url": "http://www.khanacademy.org/video/photosynthesis---calvin-cycle", "duration": 808, "translated_title": "Photosynthesis: Calvin cycle", "translated_description_html": "The Calvin Cycle or the light-independent (dark) reactions of photosythesis", "id": "23974", "description_html": "The Calvin Cycle or the light-independent (dark) reactions of photosythesis", "title": "Photosynthesis: Calvin cycle", "progress_key": "v23974", "edit_slug": "edit/v/23974", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Calvin Cycle or the light-independent (dark) reactions of photosythesis", "extra_properties": null, "node_slug": "v/photosynthesis---calvin-cycle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/slm6D2VEXYs.mp4/slm6D2VEXYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/slm6D2VEXYs.mp4/slm6D2VEXYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/slm6D2VEXYs.m3u8/slm6D2VEXYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=slm6D2VEXYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23974", "sha": "eb0c73a6f97204fb9e26e467f8b67744fca70a46", "translated_description": "The Calvin Cycle or the light-independent (dark) reactions of photosythesis", "image_url": "https://img.youtube.com/vi/slm6D2VEXYs/hqdefault.jpg", "youtube_id": "slm6D2VEXYs", "content_kind": "Video", "readable_id": "photosynthesis---calvin-cycle"}, {"translated_youtube_id": "EQvTEFCANTM", "relative_url": "/video/photorespiration", "has_questions": false, "keywords": "photosynthesis, calvin, photorespiration", "ka_url": "http://www.khanacademy.org/video/photorespiration", "duration": 1023, "translated_title": "Photorespiration", "translated_description_html": "More detail on the Calvin Cycle and Photorespiration", "id": "23976", "description_html": "More detail on the Calvin Cycle and Photorespiration", "title": "Photorespiration", "progress_key": "v23976", "edit_slug": "edit/v/23976", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More detail on the Calvin Cycle and Photorespiration", "extra_properties": null, "node_slug": "v/photorespiration", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EQvTEFCANTM.mp4/EQvTEFCANTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EQvTEFCANTM.mp4/EQvTEFCANTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EQvTEFCANTM.m3u8/EQvTEFCANTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EQvTEFCANTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23976", "sha": "c3b1606f2bdbe895183a3caf2ba420be509f9d31", "translated_description": "More detail on the Calvin Cycle and Photorespiration", "image_url": "https://img.youtube.com/vi/EQvTEFCANTM/hqdefault.jpg", "youtube_id": "EQvTEFCANTM", "content_kind": "Video", "readable_id": "photorespiration"}, {"translated_youtube_id": "7ynX_F-SwNY", "relative_url": "/video/c-4-photosynthesis", "has_questions": false, "keywords": "c-4, photosythesis, photorespiration", "ka_url": "http://www.khanacademy.org/video/c-4-photosynthesis", "duration": 1018, "translated_title": "C-4 photosynthesis", "translated_description_html": "C-4 Photosynthesis: How some plants avoid photorespiration", "id": "23978", "description_html": "C-4 Photosynthesis: How some plants avoid photorespiration", "title": "C-4 photosynthesis", "progress_key": "v23978", "edit_slug": "edit/v/23978", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "C-4 Photosynthesis: How some plants avoid photorespiration", "extra_properties": null, "node_slug": "v/c-4-photosynthesis", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7ynX_F-SwNY.mp4/7ynX_F-SwNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7ynX_F-SwNY.mp4/7ynX_F-SwNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7ynX_F-SwNY.m3u8/7ynX_F-SwNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7ynX_F-SwNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23978", "sha": "94abb5cb3b481df77766a438e91936aa098845fb", "translated_description": "C-4 Photosynthesis: How some plants avoid photorespiration", "image_url": "https://img.youtube.com/vi/7ynX_F-SwNY/hqdefault.jpg", "youtube_id": "7ynX_F-SwNY", "content_kind": "Video", "readable_id": "c-4-photosynthesis"}, {"translated_youtube_id": "xp6Zj24h8uA", "relative_url": "/video/cam-plants", "has_questions": false, "keywords": "CAM, C-4, crassulacean, acid, metabolism, photosynthesis", "ka_url": "http://www.khanacademy.org/video/cam-plants", "duration": 517, "translated_title": "Cam plants", "translated_description_html": "How CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day", "id": "23980", "description_html": "How CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day", "title": "Cam plants", "progress_key": "v23980", "edit_slug": "edit/v/23980", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day", "extra_properties": null, "node_slug": "v/cam-plants", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xp6Zj24h8uA.mp4/xp6Zj24h8uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xp6Zj24h8uA.mp4/xp6Zj24h8uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xp6Zj24h8uA.m3u8/xp6Zj24h8uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xp6Zj24h8uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23980", "sha": "481d837d6bd77f31f1238355c0b4f54a4e10c0c9", "translated_description": "How CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day", "image_url": "https://img.youtube.com/vi/xp6Zj24h8uA/hqdefault.jpg", "youtube_id": "xp6Zj24h8uA", "content_kind": "Video", "readable_id": "cam-plants"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "photosynthesis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf73fecc9", "topic_page_url": "/science/biology/photosynthesis", "extended_slug": "science/biology/photosynthesis", "slug": "photosynthesis", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e1c1d8728a307529b0504346574d2683742f0930", "standalone_title": "Photosynthesis", "y_pos": 0.0, "current_revision_key": "e1c1d8728a307529b0504346574d2683742f0930", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/human-biology", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/human-biology", "translated_standalone_title": "Human biology", "translated_title": "Human biology", "gplus_url": "", "id": "xb67ac68d", "old_key_name": "MiZK9XV2vCLsgA5xzQhx2-I6r2zRGdQDFUaH3R02", "hide": false, "title": "Human biology", "child_data": [{"kind": "Video", "id": 23986}, {"kind": "Video", "id": 23988}, {"kind": "Video", "id": 23990}, {"kind": "Video", "id": 23992}, {"kind": "Video", "id": 23994}, {"kind": "Video", "id": 23996}, {"kind": "Video", "id": 27192}, {"kind": "Video", "id": 23998}, {"kind": "Video", "id": 24000}, {"kind": "Video", "id": 24002}, {"kind": "Video", "id": 24004}, {"kind": "Video", "id": 24006}, {"kind": "Video", "id": 24008}, {"kind": "Video", "id": 24010}, {"kind": "Video", "id": 24028}, {"kind": "Video", "id": 24030}], "children": [{"translated_youtube_id": "SPGRkexI_cs", "relative_url": "/video/the-lungs-and-pulmonary-system", "has_questions": false, "keywords": "pulmonary, lungs, larynx, trachea, bronchi, bronchioles, alveoli, diaphragm", "ka_url": "http://www.khanacademy.org/video/the-lungs-and-pulmonary-system", "duration": 1233, "translated_title": "The lungs and pulmonary system", "translated_description_html": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "id": "23986", "description_html": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "title": "The lungs and pulmonary system", "progress_key": "v23986", "edit_slug": "edit/v/23986", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "extra_properties": null, "node_slug": "v/the-lungs-and-pulmonary-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.mp4/SPGRkexI_cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.mp4/SPGRkexI_cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.m3u8/SPGRkexI_cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SPGRkexI_cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23986", "sha": "16a41000e0bb98af894189ee1163781b4466d622", "translated_description": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "image_url": "https://img.youtube.com/vi/SPGRkexI_cs/hqdefault.jpg", "youtube_id": "SPGRkexI_cs", "content_kind": "Video", "readable_id": "the-lungs-and-pulmonary-system"}, {"translated_youtube_id": "fLKOBQ6cZHA", "relative_url": "/video/red-blood-cells", "has_questions": false, "keywords": "red, blood, cell, hemoglobin", "ka_url": "http://www.khanacademy.org/video/red-blood-cells", "duration": 990, "translated_title": "Red blood cells", "translated_description_html": "Oxygen uptake by hemoglobin in red blood cells", "id": "23988", "description_html": "Oxygen uptake by hemoglobin in red blood cells", "title": "Red blood cells", "progress_key": "v23988", "edit_slug": "edit/v/23988", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Oxygen uptake by hemoglobin in red blood cells", "extra_properties": null, "node_slug": "v/red-blood-cells", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fLKOBQ6cZHA.mp4/fLKOBQ6cZHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fLKOBQ6cZHA.mp4/fLKOBQ6cZHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fLKOBQ6cZHA.m3u8/fLKOBQ6cZHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fLKOBQ6cZHA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23988", "sha": "cdfc6787ec22cd22bc325d5f698f522a0f82fa9f", "translated_description": "Oxygen uptake by hemoglobin in red blood cells", "image_url": "https://img.youtube.com/vi/fLKOBQ6cZHA/hqdefault.jpg", "youtube_id": "fLKOBQ6cZHA", "content_kind": "Video", "readable_id": "red-blood-cells"}, {"translated_youtube_id": "QhiVnFvshZg", "relative_url": "/video/circulatory-system-and-the-heart", "has_questions": false, "keywords": "heart, blood, vein, artery, pulmonary, atrium, ventricle", "ka_url": "http://www.khanacademy.org/video/circulatory-system-and-the-heart", "duration": 897, "translated_title": "Circulatory system and the heart", "translated_description_html": "Introduction to the circulatory system and the heart", "id": "23990", "description_html": "Introduction to the circulatory system and the heart", "title": "Circulatory system and the heart", "progress_key": "v23990", "edit_slug": "edit/v/23990", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the circulatory system and the heart", "extra_properties": null, "node_slug": "v/circulatory-system-and-the-heart", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.mp4/QhiVnFvshZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.mp4/QhiVnFvshZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.m3u8/QhiVnFvshZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QhiVnFvshZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23990", "sha": "d6483ee6ad4bbd4b840674127723f3f168920f4c", "translated_description": "Introduction to the circulatory system and the heart", "image_url": "https://img.youtube.com/vi/QhiVnFvshZg/hqdefault.jpg", "youtube_id": "QhiVnFvshZg", "content_kind": "Video", "readable_id": "circulatory-system-and-the-heart"}, {"translated_youtube_id": "LWtXthfG9_M", "relative_url": "/video/hemoglobin", "has_questions": false, "keywords": "hemoglobin, red, blood, cell, allosteric, cooperative, heme", "ka_url": "http://www.khanacademy.org/video/hemoglobin", "duration": 874, "translated_title": "Hemoglobin", "translated_description_html": "Hemoglobin and its role in the circulatory system", "id": "23992", "description_html": "Hemoglobin and its role in the circulatory system", "title": "Hemoglobin", "progress_key": "v23992", "edit_slug": "edit/v/23992", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hemoglobin and its role in the circulatory system", "extra_properties": null, "node_slug": "v/hemoglobin", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LWtXthfG9_M.mp4/LWtXthfG9_M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LWtXthfG9_M.mp4/LWtXthfG9_M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LWtXthfG9_M.m3u8/LWtXthfG9_M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LWtXthfG9_M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23992", "sha": "db8fe25863f9c2828a589ccd05ee09e2c4bfa665", "translated_description": "Hemoglobin and its role in the circulatory system", "image_url": "https://img.youtube.com/vi/LWtXthfG9_M/hqdefault.jpg", "youtube_id": "LWtXthfG9_M", "content_kind": "Video", "readable_id": "hemoglobin"}, {"translated_youtube_id": "ob5U8zPbAX4", "relative_url": "/video/anatomy-of-a-neuron", "has_questions": false, "keywords": "neuron, anatomy, dendrite, axon, myelin, schwann", "ka_url": "http://www.khanacademy.org/video/anatomy-of-a-neuron", "duration": 373, "translated_title": "Anatomy of a neuron", "translated_description_html": "Introduction to the neuron and its anatomy", "id": "23994", "description_html": "Introduction to the neuron and its anatomy", "title": "Anatomy of a neuron", "progress_key": "v23994", "edit_slug": "edit/v/23994", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the neuron and its anatomy", "extra_properties": null, "node_slug": "v/anatomy-of-a-neuron", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ob5U8zPbAX4.mp4/ob5U8zPbAX4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ob5U8zPbAX4.mp4/ob5U8zPbAX4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ob5U8zPbAX4.m3u8/ob5U8zPbAX4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ob5U8zPbAX4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23994", "sha": "dca8864c53e30cb61dce84683dffee47d55d88cb", "translated_description": "Introduction to the neuron and its anatomy", "image_url": "https://img.youtube.com/vi/ob5U8zPbAX4/hqdefault.jpg", "youtube_id": "ob5U8zPbAX4", "content_kind": "Video", "readable_id": "anatomy-of-a-neuron"}, {"translated_youtube_id": "C_H-ONQFjpQ", "relative_url": "/video/sodium-potassium-pump", "has_questions": false, "keywords": "sodium, potassium, pump, atp, atpase, voltage, gradient", "ka_url": "http://www.khanacademy.org/video/sodium-potassium-pump", "duration": 833, "translated_title": "Sodium potassium pump", "translated_description_html": "How a sodium potassium pump can maintain a voltage gradient across a cell or neuron's membrane", "id": "23996", "description_html": "How a sodium potassium pump can maintain a voltage gradient across a cell or neuron's membrane", "title": "Sodium potassium pump", "progress_key": "v23996", "edit_slug": "edit/v/23996", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a sodium potassium pump can maintain a voltage gradient across a cell or neuron's membrane", "extra_properties": null, "node_slug": "v/sodium-potassium-pump", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C_H-ONQFjpQ.mp4/C_H-ONQFjpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C_H-ONQFjpQ.mp4/C_H-ONQFjpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C_H-ONQFjpQ.m3u8/C_H-ONQFjpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C_H-ONQFjpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23996", "sha": "53cfc7951c594fdb46d14d8a433e1f70362da4fd", "translated_description": "How a sodium potassium pump can maintain a voltage gradient across a cell or neuron's membrane", "image_url": "https://img.youtube.com/vi/C_H-ONQFjpQ/hqdefault.jpg", "youtube_id": "C_H-ONQFjpQ", "content_kind": "Video", "readable_id": "sodium-potassium-pump"}, {"translated_youtube_id": "ye3rTjLCvAU", "relative_url": "/video/correction-to-sodium-and-potassium-pump-video", "has_questions": false, "keywords": "sodium, potassium, pump", "ka_url": "http://www.khanacademy.org/video/correction-to-sodium-and-potassium-pump-video", "duration": 408, "translated_title": "Correction to sodium and potassium pump video", "translated_description_html": "Correction to Sodium and Potassium Pump Video", "id": "27192", "description_html": "Correction to Sodium and Potassium Pump Video", "title": "Correction to sodium and potassium pump video", "progress_key": "v27192", "edit_slug": "edit/v/27192", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction to Sodium and Potassium Pump Video", "extra_properties": null, "node_slug": "v/correction-to-sodium-and-potassium-pump-video", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ye3rTjLCvAU.mp4/ye3rTjLCvAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ye3rTjLCvAU.mp4/ye3rTjLCvAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ye3rTjLCvAU.m3u8/ye3rTjLCvAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ye3rTjLCvAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27192", "sha": "e84a88eb314a42e42cc1a915df2d14a6b6fbb062", "translated_description": "Correction to Sodium and Potassium Pump Video", "image_url": "https://img.youtube.com/vi/ye3rTjLCvAU/hqdefault.jpg", "youtube_id": "ye3rTjLCvAU", "content_kind": "Video", "readable_id": "correction-to-sodium-and-potassium-pump-video"}, {"translated_youtube_id": "gkQtRec2464", "relative_url": "/video/electrotonic-and-action-potentials", "has_questions": false, "keywords": "action, electrotonic, neuron, potential", "ka_url": "http://www.khanacademy.org/video/electrotonic-and-action-potentials", "duration": 1133, "translated_title": "Electrotonic and action potentials", "translated_description_html": "How electrotonic and action potentials propagate down cells", "id": "23998", "description_html": "How electrotonic and action potentials propagate down cells", "title": "Electrotonic and action potentials", "progress_key": "v23998", "edit_slug": "edit/v/23998", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How electrotonic and action potentials propagate down cells", "extra_properties": null, "node_slug": "v/electrotonic-and-action-potentials", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gkQtRec2464.mp4/gkQtRec2464.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gkQtRec2464.mp4/gkQtRec2464.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gkQtRec2464.m3u8/gkQtRec2464.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gkQtRec2464&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23998", "sha": "ab65d9b7cf0667a210caf9464296ea623943e8ab", "translated_description": "How electrotonic and action potentials propagate down cells", "image_url": "https://img.youtube.com/vi/gkQtRec2464/hqdefault.jpg", "youtube_id": "gkQtRec2464", "content_kind": "Video", "readable_id": "electrotonic-and-action-potentials"}, {"translated_youtube_id": "7wgb7ggzFNs", "relative_url": "/video/saltatory-conduction-in-neurons", "has_questions": false, "keywords": "saltatory, electrotonic, action, potential, neuron", "ka_url": "http://www.khanacademy.org/video/saltatory-conduction-in-neurons", "duration": 724, "translated_title": "Saltatory conduction in neurons", "translated_description_html": "Saltatory conduction or how neurons use both electrotonic and action potentials to have signals move quickly while not losing strength.", "id": "24000", "description_html": "Saltatory conduction or how neurons use both electrotonic and action potentials to have signals move quickly while not losing strength.", "title": "Saltatory conduction in neurons", "progress_key": "v24000", "edit_slug": "edit/v/24000", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Saltatory conduction or how neurons use both electrotonic and action potentials to have signals move quickly while not losing strength.", "extra_properties": null, "node_slug": "v/saltatory-conduction-in-neurons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7wgb7ggzFNs.mp4/7wgb7ggzFNs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7wgb7ggzFNs.mp4/7wgb7ggzFNs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7wgb7ggzFNs.m3u8/7wgb7ggzFNs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7wgb7ggzFNs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24000", "sha": "4f44a0b4193e0ee09c2138f1c36b519bfc5adc84", "translated_description": "Saltatory conduction or how neurons use both electrotonic and action potentials to have signals move quickly while not losing strength.", "image_url": "https://img.youtube.com/vi/7wgb7ggzFNs/hqdefault.jpg", "youtube_id": "7wgb7ggzFNs", "content_kind": "Video", "readable_id": "saltatory-conduction-in-neurons"}, {"translated_youtube_id": "Tbq-KZaXiL4", "relative_url": "/video/neuronal-synapses--chemical", "has_questions": false, "keywords": "neuron, chemical, synapse", "ka_url": "http://www.khanacademy.org/video/neuronal-synapses--chemical", "duration": 953, "translated_title": "Neuronal synapses (chemical)", "translated_description_html": "How one neuron can stimulate (or inhibit) another neuron at a chemical synapse", "id": "24002", "description_html": "How one neuron can stimulate (or inhibit) another neuron at a chemical synapse", "title": "Neuronal synapses (chemical)", "progress_key": "v24002", "edit_slug": "edit/v/24002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How one neuron can stimulate (or inhibit) another neuron at a chemical synapse", "extra_properties": null, "node_slug": "v/neuronal-synapses--chemical", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tbq-KZaXiL4.mp4/Tbq-KZaXiL4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tbq-KZaXiL4.mp4/Tbq-KZaXiL4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tbq-KZaXiL4.m3u8/Tbq-KZaXiL4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tbq-KZaXiL4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24002", "sha": "b848a62b08d8ea71000068c07898476158f49039", "translated_description": "How one neuron can stimulate (or inhibit) another neuron at a chemical synapse", "image_url": "https://img.youtube.com/vi/Tbq-KZaXiL4/hqdefault.jpg", "youtube_id": "Tbq-KZaXiL4", "content_kind": "Video", "readable_id": "neuronal-synapses--chemical"}, {"translated_youtube_id": "zopoN2i7ALQ", "relative_url": "/video/myosin-and-actin", "has_questions": false, "keywords": "myosin, actin, muscle", "ka_url": "http://www.khanacademy.org/video/myosin-and-actin", "duration": 578, "translated_title": "Myosin and actin", "translated_description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "id": "24004", "description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "title": "Myosin and actin", "progress_key": "v24004", "edit_slug": "edit/v/24004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How myosin and actin interact to produce mechanical force. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/myosin-and-actin", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.m3u8/zopoN2i7ALQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zopoN2i7ALQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24004", "sha": "e0ea7897279cd6c52c8bd1d9698fee0e303ed707", "translated_description": "How myosin and actin interact to produce mechanical force. \n", "image_url": "https://img.youtube.com/vi/zopoN2i7ALQ/hqdefault.jpg", "youtube_id": "zopoN2i7ALQ", "content_kind": "Video", "readable_id": "myosin-and-actin"}, {"translated_youtube_id": "LiOfeSsjrB8", "relative_url": "/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "has_questions": false, "keywords": "tropomyosin, troponin, calcium, ion, muscle, contraction", "ka_url": "http://www.khanacademy.org/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "duration": 562, "translated_title": "Tropomyosin and troponin and their role in regulating muscle contraction", "translated_description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "id": "24006", "description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "title": "Tropomyosin and troponin and their role in regulating muscle contraction", "progress_key": "v24006", "edit_slug": "edit/v/24006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.m3u8/LiOfeSsjrB8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LiOfeSsjrB8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24006", "sha": "d874aff2d2911cdef10b5ff719afb5be505782a7", "translated_description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "image_url": "https://img.youtube.com/vi/LiOfeSsjrB8/hqdefault.jpg", "youtube_id": "LiOfeSsjrB8", "content_kind": "Video", "readable_id": "tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction"}, {"translated_youtube_id": "SauhB2fYQkM", "relative_url": "/video/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "has_questions": false, "keywords": "sarcoplasmic, reticulum, muscle, contraction, motor, neuron", "ka_url": "http://www.khanacademy.org/video/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "duration": 882, "translated_title": "Role of the sarcoplasmic reticulum in muscle cells", "translated_description_html": "

The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.<\/p>\n", "id": "24008", "description_html": "

The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.<\/p>\n", "title": "Role of the sarcoplasmic reticulum in muscle cells", "progress_key": "v24008", "edit_slug": "edit/v/24008", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.mp4/SauhB2fYQkM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.mp4/SauhB2fYQkM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.m3u8/SauhB2fYQkM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SauhB2fYQkM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24008", "sha": "61de9d37444b4b5c94637b2397655eee451427bb", "translated_description": "The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.\n", "image_url": "https://img.youtube.com/vi/SauhB2fYQkM/hqdefault.jpg", "youtube_id": "SauhB2fYQkM", "content_kind": "Video", "readable_id": "role-of-the-sarcoplasmic-reticulum-in-muscle-cells"}, {"translated_youtube_id": "uY2ZOsCnXIA", "relative_url": "/video/anatomy-of-a-muscle-cell", "has_questions": false, "keywords": "muscle, anatomy", "ka_url": "http://www.khanacademy.org/video/anatomy-of-a-muscle-cell", "duration": 992, "translated_title": "Anatomy of a muscle cell", "translated_description_html": "Understanding the structure of a muscle cell", "id": "24010", "description_html": "Understanding the structure of a muscle cell", "title": "Anatomy of a muscle cell", "progress_key": "v24010", "edit_slug": "edit/v/24010", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the structure of a muscle cell", "extra_properties": null, "node_slug": "v/anatomy-of-a-muscle-cell", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uY2ZOsCnXIA.mp4/uY2ZOsCnXIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uY2ZOsCnXIA.mp4/uY2ZOsCnXIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uY2ZOsCnXIA.m3u8/uY2ZOsCnXIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uY2ZOsCnXIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24010", "sha": "dba11809e58edd790b9f408238ae84a6bb673edf", "translated_description": "Understanding the structure of a muscle cell", "image_url": "https://img.youtube.com/vi/uY2ZOsCnXIA/hqdefault.jpg", "youtube_id": "uY2ZOsCnXIA", "content_kind": "Video", "readable_id": "anatomy-of-a-muscle-cell"}, {"translated_youtube_id": "cc8sUv2SuaY", "relative_url": "/video/the-kidney-and-nephron", "has_questions": false, "keywords": "renal, kidney, nephron", "ka_url": "http://www.khanacademy.org/video/the-kidney-and-nephron", "duration": 1118, "translated_title": "The kidney and nephron", "translated_description_html": "Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.", "id": "24028", "description_html": "Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.", "title": "The kidney and nephron", "progress_key": "v24028", "edit_slug": "edit/v/24028", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.", "extra_properties": null, "node_slug": "v/the-kidney-and-nephron", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cc8sUv2SuaY.mp4/cc8sUv2SuaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cc8sUv2SuaY.mp4/cc8sUv2SuaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cc8sUv2SuaY.m3u8/cc8sUv2SuaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cc8sUv2SuaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24028", "sha": "f124feca012bbfe187270cbfede200e7bd1052c1", "translated_description": "Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.", "image_url": "https://img.youtube.com/vi/cc8sUv2SuaY/hqdefault.jpg", "youtube_id": "cc8sUv2SuaY", "content_kind": "Video", "readable_id": "the-kidney-and-nephron"}, {"translated_youtube_id": "czY5nyvZ7cU", "relative_url": "/video/secondary-active-transport-in-the-nephron", "has_questions": false, "keywords": "secondary, active, transport, nephron, symporter, antiporter", "ka_url": "http://www.khanacademy.org/video/secondary-active-transport-in-the-nephron", "duration": 853, "translated_title": "Secondary active transport in the nephron", "translated_description_html": "Secondary Active Transport in the Nephron", "id": "24030", "description_html": "Secondary Active Transport in the Nephron", "title": "Secondary active transport in the nephron", "progress_key": "v24030", "edit_slug": "edit/v/24030", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Secondary Active Transport in the Nephron", "extra_properties": null, "node_slug": "v/secondary-active-transport-in-the-nephron", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:31:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/czY5nyvZ7cU.mp4/czY5nyvZ7cU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/czY5nyvZ7cU.mp4/czY5nyvZ7cU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/czY5nyvZ7cU.m3u8/czY5nyvZ7cU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=czY5nyvZ7cU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24030", "sha": "841451d4ec2ba7f9fe6ff294722718ed3b794568", "translated_description": "Secondary Active Transport in the Nephron", "image_url": "https://img.youtube.com/vi/czY5nyvZ7cU/hqdefault.jpg", "youtube_id": "czY5nyvZ7cU", "content_kind": "Video", "readable_id": "secondary-active-transport-in-the-nephron"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "human-biology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb67ac68d", "topic_page_url": "/science/biology/human-biology", "extended_slug": "science/biology/human-biology", "slug": "human-biology", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "951122874b38fe040789ad4c852c341cc37c1a04", "standalone_title": "Human biology", "y_pos": 0.0, "current_revision_key": "951122874b38fe040789ad4c852c341cc37c1a04", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/biology/immunology", "web_url": "", "ka_url": "http://www.khanacademy.org/science/biology/immunology", "translated_standalone_title": "Immunology", "translated_title": "Immunology", "gplus_url": "", "id": "xc6bf9499", "old_key_name": "NYDQuafVDylqnhC7Da80HEjLgtjOUyC-BxH67CtK", "hide": false, "title": "Immunology", "child_data": [{"kind": "Video", "id": 24012}, {"kind": "Video", "id": 24014}, {"kind": "Video", "id": 24016}, {"kind": "Video", "id": 24018}, {"kind": "Video", "id": 24020}, {"kind": "Video", "id": 24022}, {"kind": "Video", "id": 24024}, {"kind": "Video", "id": 24026}], "children": [{"translated_youtube_id": "O1N2rENXq_Y", "relative_url": "/video/role-of-phagocytes-in-innate-or-nonspecific-immunity", "has_questions": false, "keywords": "immunology, phagocyte, neutrophil, macrophage, dendritic", "ka_url": "http://www.khanacademy.org/video/role-of-phagocytes-in-innate-or-nonspecific-immunity", "duration": 980, "translated_title": "Role of phagocytes in innate or nonspecific immunity", "translated_description_html": "Role of phagocytes in innate or nonspecific immunity. Neutrophils, macrophages, and dendritic cells. MHC II.", "id": "24012", "description_html": "Role of phagocytes in innate or nonspecific immunity. Neutrophils, macrophages, and dendritic cells. MHC II.", "title": "Role of phagocytes in innate or nonspecific immunity", "progress_key": "v24012", "edit_slug": "edit/v/24012", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Role of phagocytes in innate or nonspecific immunity. Neutrophils, macrophages, and dendritic cells. MHC II.", "extra_properties": null, "node_slug": "v/role-of-phagocytes-in-innate-or-nonspecific-immunity", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O1N2rENXq_Y.mp4/O1N2rENXq_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O1N2rENXq_Y.mp4/O1N2rENXq_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O1N2rENXq_Y.m3u8/O1N2rENXq_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O1N2rENXq_Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24012", "sha": "cf287dd241f951792edbd7d36f18f44a286f1bb9", "translated_description": "Role of phagocytes in innate or nonspecific immunity. Neutrophils, macrophages, and dendritic cells. MHC II.", "image_url": "https://img.youtube.com/vi/O1N2rENXq_Y/hqdefault.jpg", "youtube_id": "O1N2rENXq_Y", "content_kind": "Video", "readable_id": "role-of-phagocytes-in-innate-or-nonspecific-immunity"}, {"translated_youtube_id": "rp7T4IItbtM", "relative_url": "/video/types-of-immune-responses--innate-and-adaptive---humoral-vs--cell-mediated", "has_questions": false, "keywords": "humoral, cell, mediated, nonspecific, immunity, adaptive", "ka_url": "http://www.khanacademy.org/video/types-of-immune-responses--innate-and-adaptive---humoral-vs--cell-mediated", "duration": 487, "translated_title": "Types of immune responses: Innate and adaptive. humoral vs. cell-mediated", "translated_description_html": "Overview of types of immune responses. Difference between innate and adaptive immunity. Differences between humoral adaptive immunity and cell-mediated adaptive immunity.", "id": "24014", "description_html": "Overview of types of immune responses. Difference between innate and adaptive immunity. Differences between humoral adaptive immunity and cell-mediated adaptive immunity.", "title": "Types of immune responses: Innate and adaptive. humoral vs. cell-mediated", "progress_key": "v24014", "edit_slug": "edit/v/24014", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of types of immune responses. Difference between innate and adaptive immunity. Differences between humoral adaptive immunity and cell-mediated adaptive immunity.", "extra_properties": null, "node_slug": "v/types-of-immune-responses--innate-and-adaptive---humoral-vs--cell-mediated", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rp7T4IItbtM.mp4/rp7T4IItbtM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rp7T4IItbtM.mp4/rp7T4IItbtM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rp7T4IItbtM.m3u8/rp7T4IItbtM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rp7T4IItbtM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24014", "sha": "d0366518c00204ef2d0ab2ce1857d90b34ec4cd7", "translated_description": "Overview of types of immune responses. Difference between innate and adaptive immunity. Differences between humoral adaptive immunity and cell-mediated adaptive immunity.", "image_url": "https://img.youtube.com/vi/rp7T4IItbtM/hqdefault.jpg", "youtube_id": "rp7T4IItbtM", "content_kind": "Video", "readable_id": "types-of-immune-responses--innate-and-adaptive---humoral-vs--cell-mediated"}, {"translated_youtube_id": "Z36dUduOk1Y", "relative_url": "/video/b-lymphocytes--b-cells", "has_questions": false, "keywords": "cells, lymphocytes, antibodies", "ka_url": "http://www.khanacademy.org/video/b-lymphocytes--b-cells", "duration": 853, "translated_title": "B lymphocytes (B cells)", "translated_description_html": "Overview of B cells (B lymphocytes) and how they are activated and produce antibodies", "id": "24016", "description_html": "Overview of B cells (B lymphocytes) and how they are activated and produce antibodies", "title": "B lymphocytes (B cells)", "progress_key": "v24016", "edit_slug": "edit/v/24016", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of B cells (B lymphocytes) and how they are activated and produce antibodies", "extra_properties": null, "node_slug": "v/b-lymphocytes--b-cells", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z36dUduOk1Y.mp4/Z36dUduOk1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z36dUduOk1Y.mp4/Z36dUduOk1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z36dUduOk1Y.m3u8/Z36dUduOk1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z36dUduOk1Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24016", "sha": "e77bb77567386235428d8ddfb67fe345327ea246", "translated_description": "Overview of B cells (B lymphocytes) and how they are activated and produce antibodies", "image_url": "https://img.youtube.com/vi/Z36dUduOk1Y/hqdefault.jpg", "youtube_id": "Z36dUduOk1Y", "content_kind": "Video", "readable_id": "b-lymphocytes--b-cells"}, {"translated_youtube_id": "j_kSmmEpvQk", "relative_url": "/video/professional-antigen-presenting-cells--apc--and-mhc-ii-complexes", "has_questions": false, "keywords": "MHC, APC, antingen, presenting, cells", "ka_url": "http://www.khanacademy.org/video/professional-antigen-presenting-cells--apc--and-mhc-ii-complexes", "duration": 693, "translated_title": "Professional antigen presenting cells (APC) and MHC II complexes", "translated_description_html": "How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).", "id": "24018", "description_html": "How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).", "title": "Professional antigen presenting cells (APC) and MHC II complexes", "progress_key": "v24018", "edit_slug": "edit/v/24018", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).", "extra_properties": null, "node_slug": "v/professional-antigen-presenting-cells--apc--and-mhc-ii-complexes", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j_kSmmEpvQk.mp4/j_kSmmEpvQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j_kSmmEpvQk.mp4/j_kSmmEpvQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j_kSmmEpvQk.m3u8/j_kSmmEpvQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j_kSmmEpvQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24018", "sha": "04bb9db12fb3564d60825461300b50bb36e7e34a", "translated_description": "How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).", "image_url": "https://img.youtube.com/vi/j_kSmmEpvQk/hqdefault.jpg", "youtube_id": "j_kSmmEpvQk", "content_kind": "Video", "readable_id": "professional-antigen-presenting-cells--apc--and-mhc-ii-complexes"}, {"translated_youtube_id": "uwMYpTYsNZM", "relative_url": "/video/helper-t-cells", "has_questions": false, "keywords": "Cell, lymphocyte, immunity", "ka_url": "http://www.khanacademy.org/video/helper-t-cells", "duration": 1233, "translated_title": "Helper T cells", "translated_description_html": "Introduction to helper T cells and their role in activating B cells", "id": "24020", "description_html": "Introduction to helper T cells and their role in activating B cells", "title": "Helper T cells", "progress_key": "v24020", "edit_slug": "edit/v/24020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to helper T cells and their role in activating B cells", "extra_properties": null, "node_slug": "v/helper-t-cells", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uwMYpTYsNZM.mp4/uwMYpTYsNZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uwMYpTYsNZM.mp4/uwMYpTYsNZM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uwMYpTYsNZM.m3u8/uwMYpTYsNZM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uwMYpTYsNZM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24020", "sha": "9cdfee1137afa393729a10e915ee765613964eb7", "translated_description": "Introduction to helper T cells and their role in activating B cells", "image_url": "https://img.youtube.com/vi/uwMYpTYsNZM/hqdefault.jpg", "youtube_id": "uwMYpTYsNZM", "content_kind": "Video", "readable_id": "helper-t-cells"}, {"translated_youtube_id": "oqI4skjr6lQ", "relative_url": "/video/cytotoxic-t-cells", "has_questions": false, "keywords": "cytotoxic, cell, effor, memory", "ka_url": "http://www.khanacademy.org/video/cytotoxic-t-cells", "duration": 606, "translated_title": "Cytotoxic T cells", "translated_description_html": "How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells", "id": "24022", "description_html": "How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells", "title": "Cytotoxic T cells", "progress_key": "v24022", "edit_slug": "edit/v/24022", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells", "extra_properties": null, "node_slug": "v/cytotoxic-t-cells", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqI4skjr6lQ.mp4/oqI4skjr6lQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqI4skjr6lQ.mp4/oqI4skjr6lQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqI4skjr6lQ.m3u8/oqI4skjr6lQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqI4skjr6lQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24022", "sha": "12c75f3cbfa9bd9bfd8a9290ec8287eec23a764c", "translated_description": "How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells", "image_url": "https://img.youtube.com/vi/oqI4skjr6lQ/hqdefault.jpg", "youtube_id": "oqI4skjr6lQ", "content_kind": "Video", "readable_id": "cytotoxic-t-cells"}, {"translated_youtube_id": "xaz5ftvZCyI", "relative_url": "/video/review-of-b-cells---cd4--t-cells-and-cd8--t-cells", "has_questions": false, "keywords": "plasma, cell, helper, effector, memory, cytotoxic", "ka_url": "http://www.khanacademy.org/video/review-of-b-cells---cd4--t-cells-and-cd8--t-cells", "duration": 667, "translated_title": "Review of B cells, CD4+ T cells and CD8+ T cells", "translated_description_html": "Review of B cells, CD4+ T cells and CD8+ T cells", "id": "24024", "description_html": "Review of B cells, CD4+ T cells and CD8+ T cells", "title": "Review of B cells, CD4+ T cells and CD8+ T cells", "progress_key": "v24024", "edit_slug": "edit/v/24024", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Review of B cells, CD4+ T cells and CD8+ T cells", "extra_properties": null, "node_slug": "v/review-of-b-cells---cd4--t-cells-and-cd8--t-cells", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xaz5ftvZCyI.mp4/xaz5ftvZCyI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xaz5ftvZCyI.mp4/xaz5ftvZCyI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xaz5ftvZCyI.m3u8/xaz5ftvZCyI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xaz5ftvZCyI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24024", "sha": "be0920a944088fe73270a521c0065e42c41d20fd", "translated_description": "Review of B cells, CD4+ T cells and CD8+ T cells", "image_url": "https://img.youtube.com/vi/xaz5ftvZCyI/hqdefault.jpg", "youtube_id": "xaz5ftvZCyI", "content_kind": "Video", "readable_id": "review-of-b-cells---cd4--t-cells-and-cd8--t-cells"}, {"translated_youtube_id": "FXSuEIMrPQk", "relative_url": "/video/inflammatory-response", "has_questions": false, "keywords": "inflammatory, response, immune, system", "ka_url": "http://www.khanacademy.org/video/inflammatory-response", "duration": 875, "translated_title": "Inflammatory response", "translated_description_html": "Overview of the inflammatory response", "id": "24026", "description_html": "Overview of the inflammatory response", "title": "Inflammatory response", "progress_key": "v24026", "edit_slug": "edit/v/24026", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the inflammatory response", "extra_properties": null, "node_slug": "v/inflammatory-response", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:31:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FXSuEIMrPQk.mp4/FXSuEIMrPQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FXSuEIMrPQk.mp4/FXSuEIMrPQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FXSuEIMrPQk.m3u8/FXSuEIMrPQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FXSuEIMrPQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24026", "sha": "d953d8cdaab432b0d7bfc14fb889e44ad9bb0c59", "translated_description": "Overview of the inflammatory response", "image_url": "https://img.youtube.com/vi/FXSuEIMrPQk/hqdefault.jpg", "youtube_id": "FXSuEIMrPQk", "content_kind": "Video", "readable_id": "inflammatory-response"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "immunology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc6bf9499", "topic_page_url": "/science/biology/immunology", "extended_slug": "science/biology/immunology", "slug": "immunology", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "912d615fd4d383580f2a6e2242b04e9381f54bb8", "standalone_title": "Immunology", "y_pos": 0.0, "current_revision_key": "912d615fd4d383580f2a6e2242b04e9381f54bb8", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Covers topics seen in a first year college or high school biology course.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Covers topics seen in a first year college or high school biology course.", "x_pos": 0.0, "node_slug": "biology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax324d1dcc", "topic_page_url": "/science/biology", "extended_slug": "science/biology", "slug": "biology", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0f95ff3ee163e08419322beb3a4e981852624ea2", "standalone_title": "Biology", "y_pos": 0.0, "current_revision_key": "0f95ff3ee163e08419322beb3a4e981852624ea2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics", "translated_standalone_title": "Physics", "translated_title": "Physics", "gplus_url": "", "id": "x4122fa5d", "old_key_name": "pLvfGl2apUmKyEj3ZjdQCpVuqUnMSkvoMpnzClUP", "hide": false, "title": "Physics", "child_data": [{"kind": "Topic", "id": "x4549128e"}, {"kind": "Topic", "id": "xb32c33a3"}, {"kind": "Topic", "id": "x85860e19"}, {"kind": "Topic", "id": "xbb0e99c9"}, {"kind": "Topic", "id": "xbcbeda4a"}, {"kind": "Topic", "id": "x6e1d9254"}, {"kind": "Topic", "id": "x17c5da0a"}, {"kind": "Topic", "id": "x90a204f6"}, {"kind": "Topic", "id": "x2064840d"}, {"kind": "Topic", "id": "xacf207fb"}, {"kind": "Topic", "id": "x72fdbf87"}, {"kind": "Topic", "id": "xe0324853"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/one-dimensional-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/one-dimensional-motion", "translated_standalone_title": "One-dimensional motion", "translated_title": "One-dimensional motion", "gplus_url": "", "id": "x4549128e", "old_key_name": "GhrRhg4JY3a1e91gHhqxZBJpqvorsuiC3c8PgFk-", "hide": false, "title": "One-dimensional motion", "child_data": [{"kind": "Topic", "id": "x9b6bf3d2"}, {"kind": "Topic", "id": "x167c02e5"}, {"kind": "Topic", "id": "xa4bbd186"}, {"kind": "Topic", "id": "x560c5a47"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/one-dimensional-motion/displacement-velocity-time", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time", "translated_standalone_title": "Displacement, velocity and time", "translated_title": "Displacement, velocity and time", "gplus_url": "", "id": "x9b6bf3d2", "old_key_name": "52P6OLUWRMhcDz3x0mSxdY1Rv7u34d_sNCwc1yU6", "hide": false, "title": "Displacement, velocity and time", "child_data": [{"kind": "Video", "id": 113633126}, {"kind": "Video", "id": 113633127}, {"kind": "Video", "id": 113633128}, {"kind": "Video", "id": 113633129}], "children": [{"translated_youtube_id": "ihNZlp7iUHE", "relative_url": "/video/introduction-to-vectors-and-scalars", "has_questions": false, "keywords": "physics, motion, kinematics", "ka_url": "http://www.khanacademy.org/video/introduction-to-vectors-and-scalars", "duration": 519, "translated_title": "Introduction to vectors and scalars", "translated_description_html": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "id": "113633126", "description_html": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "title": "Introduction to vectors and scalars", "progress_key": "v113633126", "edit_slug": "edit/v/113633126", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "extra_properties": null, "node_slug": "v/introduction-to-vectors-and-scalars", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.mp4/ihNZlp7iUHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.mp4/ihNZlp7iUHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.m3u8/ihNZlp7iUHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ihNZlp7iUHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633126", "sha": "a9f50c5943730d74fc6689fcf9229bd4a9cd8e9a", "translated_description": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "image_url": "https://img.youtube.com/vi/ihNZlp7iUHE/hqdefault.jpg", "youtube_id": "ihNZlp7iUHE", "content_kind": "Video", "readable_id": "introduction-to-vectors-and-scalars"}, {"translated_youtube_id": "oRKxmXwLvUU", "relative_url": "/video/calculating-average-velocity-or-speed", "has_questions": false, "keywords": "Calculating, Average, Velocity, or, Speed", "ka_url": "http://www.khanacademy.org/video/calculating-average-velocity-or-speed", "duration": 705, "translated_title": "Calculating average velocity or speed", "translated_description_html": "Example of calculating speed and velocity", "id": "113633127", "description_html": "Example of calculating speed and velocity", "title": "Calculating average velocity or speed", "progress_key": "v113633127", "edit_slug": "edit/v/113633127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating speed and velocity", "extra_properties": null, "node_slug": "v/calculating-average-velocity-or-speed", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.m3u8/oRKxmXwLvUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oRKxmXwLvUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633127", "sha": "6259db943206b274aac769ed1d947e8528f92836", "translated_description": "Example of calculating speed and velocity", "image_url": "https://img.youtube.com/vi/oRKxmXwLvUU/hqdefault.jpg", "youtube_id": "oRKxmXwLvUU", "content_kind": "Video", "readable_id": "calculating-average-velocity-or-speed"}, {"translated_youtube_id": "awzOvyMKeMA", "relative_url": "/video/solving-for-time", "has_questions": false, "keywords": "velocity, physics, mechanics", "ka_url": "http://www.khanacademy.org/video/solving-for-time", "duration": 575, "translated_title": "Solving for time", "translated_description_html": "Simple example of solving for time given distance and rate", "id": "113633128", "description_html": "Simple example of solving for time given distance and rate", "title": "Solving for time", "progress_key": "v113633128", "edit_slug": "edit/v/113633128", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simple example of solving for time given distance and rate", "extra_properties": null, "node_slug": "v/solving-for-time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.m3u8/awzOvyMKeMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=awzOvyMKeMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633128", "sha": "5eec42b50ec4762306cdb84a1114cd75602ddcfd", "translated_description": "Simple example of solving for time given distance and rate", "image_url": "https://img.youtube.com/vi/awzOvyMKeMA/hqdefault.jpg", "youtube_id": "awzOvyMKeMA", "content_kind": "Video", "readable_id": "solving-for-time"}, {"translated_youtube_id": "lQ-dvt3V4yQ", "relative_url": "/video/displacement-from-time-and-velocity-example", "has_questions": false, "keywords": "physics, displacement, distance, rate, time", "ka_url": "http://www.khanacademy.org/video/displacement-from-time-and-velocity-example", "duration": 300, "translated_title": "Displacement from time and velocity example", "translated_description_html": "Worked example of calculating displacement from time and velocity", "id": "113633129", "description_html": "Worked example of calculating displacement from time and velocity", "title": "Displacement from time and velocity example", "progress_key": "v113633129", "edit_slug": "edit/v/113633129", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example of calculating displacement from time and velocity", "extra_properties": null, "node_slug": "v/displacement-from-time-and-velocity-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.m3u8/lQ-dvt3V4yQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lQ-dvt3V4yQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633129", "sha": "53184ecd02a397a6093cf5d799c1f9305cc09e54", "translated_description": "Worked example of calculating displacement from time and velocity", "image_url": "https://img.youtube.com/vi/lQ-dvt3V4yQ/hqdefault.jpg", "youtube_id": "lQ-dvt3V4yQ", "content_kind": "Video", "readable_id": "displacement-from-time-and-velocity-example"}], "twitter_url": "", "translated_description": "This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects). You might already know that distance = rate x time. This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well). So strap your belts (actually this might not be necessary since we don't plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects). You might already know that distance = rate x time. This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well). So strap your belts (actually this might not be necessary since we don't plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.", "x_pos": 0.0, "node_slug": "displacement-velocity-time", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9b6bf3d2", "topic_page_url": "/science/physics/one-dimensional-motion/displacement-velocity-time", "extended_slug": "science/physics/one-dimensional-motion/displacement-velocity-time", "slug": "displacement-velocity-time", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0ca1e5b6ce8965cbde2b7fa22ef7e032653b7d1a", "standalone_title": "Displacement, velocity and time", "y_pos": 0.0, "current_revision_key": "0ca1e5b6ce8965cbde2b7fa22ef7e032653b7d1a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/one-dimensional-motion/acceleration_tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration_tutorial", "translated_standalone_title": "Acceleration", "translated_title": "Acceleration", "gplus_url": "", "id": "x167c02e5", "old_key_name": "6mCZPfNU3BdXXbAFRU1oDcJgAneuuqAs8cX8HmUF", "hide": false, "title": "Acceleration", "child_data": [{"kind": "Video", "id": 115608380}, {"kind": "Video", "id": 115608382}, {"kind": "Video", "id": 115608385}, {"kind": "Video", "id": 115608383}], "children": [{"translated_youtube_id": "FOkQszg1-j8", "relative_url": "/video/acceleration", "has_questions": false, "keywords": "physics, kinematics", "ka_url": "http://www.khanacademy.org/video/acceleration", "duration": 546, "translated_title": "Acceleration", "translated_description_html": "Calculating the acceleration of a Porshe", "id": "115608380", "description_html": "Calculating the acceleration of a Porshe", "title": "Acceleration", "progress_key": "v115608380", "edit_slug": "edit/v/115608380", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating the acceleration of a Porshe", "extra_properties": null, "node_slug": "v/acceleration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.m3u8/FOkQszg1-j8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FOkQszg1-j8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608380", "sha": "cd89c10a4878f67736ae324aee56647063796cdc", "translated_description": "Calculating the acceleration of a Porshe", "image_url": "https://img.youtube.com/vi/FOkQszg1-j8/hqdefault.jpg", "youtube_id": "FOkQszg1-j8", "content_kind": "Video", "readable_id": "acceleration"}, {"translated_youtube_id": "p4DTormtEG0", "relative_url": "/video/airbus-a380-take-off-time", "has_questions": false, "keywords": "acceleration, velocity, physics", "ka_url": "http://www.khanacademy.org/video/airbus-a380-take-off-time", "duration": 488, "translated_title": "Airbus A380 take-off time", "translated_description_html": "Figuring how long it takes an a380 to take off given a constant acceleration", "id": "115608382", "description_html": "Figuring how long it takes an a380 to take off given a constant acceleration", "title": "Airbus A380 take-off time", "progress_key": "v115608382", "edit_slug": "edit/v/115608382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring how long it takes an a380 to take off given a constant acceleration", "extra_properties": null, "node_slug": "v/airbus-a380-take-off-time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.mp4/p4DTormtEG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.mp4/p4DTormtEG0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.m3u8/p4DTormtEG0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p4DTormtEG0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608382", "sha": "d25e972f46e5596c31558aec8b91e8514d333a43", "translated_description": "Figuring how long it takes an a380 to take off given a constant acceleration", "image_url": "https://img.youtube.com/vi/p4DTormtEG0/hqdefault.jpg", "youtube_id": "p4DTormtEG0", "content_kind": "Video", "readable_id": "airbus-a380-take-off-time"}, {"translated_youtube_id": "fQt69_Q2CTw", "relative_url": "/video/airbus-a380-take-off-distance", "has_questions": false, "keywords": "airbus, physics, airport, runway", "ka_url": "http://www.khanacademy.org/video/airbus-a380-take-off-distance", "duration": 329, "translated_title": "Airbus A380 take-off distance", "translated_description_html": "How long of a runway does as a380 need", "id": "115608385", "description_html": "How long of a runway does as a380 need", "title": "Airbus A380 take-off distance", "progress_key": "v115608385", "edit_slug": "edit/v/115608385", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How long of a runway does as a380 need", "extra_properties": null, "node_slug": "v/airbus-a380-take-off-distance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.mp4/fQt69_Q2CTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.mp4/fQt69_Q2CTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.m3u8/fQt69_Q2CTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fQt69_Q2CTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608385", "sha": "43321c413a300d378388678605c54cb8d8d8ae03", "translated_description": "How long of a runway does as a380 need", "image_url": "https://img.youtube.com/vi/fQt69_Q2CTw/hqdefault.jpg", "youtube_id": "fQt69_Q2CTw", "content_kind": "Video", "readable_id": "airbus-a380-take-off-distance"}, {"translated_youtube_id": "d-_eqgj5-K8", "relative_url": "/video/why-distance-is-area-under-velocity-time-line", "has_questions": false, "keywords": "physics, area, integral, accleration, slope", "ka_url": "http://www.khanacademy.org/video/why-distance-is-area-under-velocity-time-line", "duration": 566, "translated_title": "Why distance is area under velocity-time line", "translated_description_html": "Understanding why distance is area under velocity-time line", "id": "115608383", "description_html": "Understanding why distance is area under velocity-time line", "title": "Why distance is area under velocity-time line", "progress_key": "v115608383", "edit_slug": "edit/v/115608383", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding why distance is area under velocity-time line", "extra_properties": null, "node_slug": "v/why-distance-is-area-under-velocity-time-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.m3u8/d-_eqgj5-K8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d-_eqgj5-K8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608383", "sha": "689d8b25877f1fdec6b25526779511294f96777f", "translated_description": "Understanding why distance is area under velocity-time line", "image_url": "https://img.youtube.com/vi/d-_eqgj5-K8/hqdefault.jpg", "youtube_id": "d-_eqgj5-K8", "content_kind": "Video", "readable_id": "why-distance-is-area-under-velocity-time-line"}], "twitter_url": "", "translated_description": "In a world full of unbalanced forces (which you learn more about when you study Newton's laws), you will have acceleration (which is the rate in change of velocity). Whether you're thinking about how fast a Porsche can get to 60mph or how long it takes for a passenger plane to get to the necessary speed for flight, this tutorial will help.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In a world full of unbalanced forces (which you learn more about when you study Newton's laws), you will have acceleration (which is the rate in change of velocity). Whether you're thinking about how fast a Porsche can get to 60mph or how long it takes for a passenger plane to get to the necessary speed for flight, this tutorial will help.", "x_pos": 0.0, "node_slug": "acceleration_tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax167c02e5", "topic_page_url": "/science/physics/one-dimensional-motion/acceleration_tutorial", "extended_slug": "science/physics/one-dimensional-motion/acceleration_tutorial", "slug": "acceleration_tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "72051afcc56180c2f1becf7db28eca665ac982ba", "standalone_title": "Acceleration", "y_pos": 0.0, "current_revision_key": "72051afcc56180c2f1becf7db28eca665ac982ba", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/one-dimensional-motion/kinematic_formulas", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic_formulas", "translated_standalone_title": "Kinematic formulas and projectile motion", "translated_title": "Kinematic formulas and projectile motion", "gplus_url": "", "id": "xa4bbd186", "old_key_name": "YBeUFInI_HJkbUpl5mcSxVrgZqcD1uBnMinXt4qX", "hide": false, "title": "Kinematic formulas and projectile motion", "child_data": [{"kind": "Video", "id": 115608384}, {"kind": "Video", "id": 115608386}, {"kind": "Video", "id": 117992975}, {"kind": "Video", "id": 117992973}, {"kind": "Video", "id": 117992974}, {"kind": "Video", "id": 117992977}, {"kind": "Video", "id": 117992976}, {"kind": "Video", "id": 408498076}], "children": [{"translated_youtube_id": "MAS6mBRZZXA", "relative_url": "/video/average-velocity-for-constant-acceleration", "has_questions": false, "keywords": "distance, kinematics, average, acceleration, physics", "ka_url": "http://www.khanacademy.org/video/average-velocity-for-constant-acceleration", "duration": 850, "translated_title": "Average velocity for constant acceleration", "translated_description_html": "Calculating average velocity when acceleration is constant", "id": "115608384", "description_html": "Calculating average velocity when acceleration is constant", "title": "Average velocity for constant acceleration", "progress_key": "v115608384", "edit_slug": "edit/v/115608384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating average velocity when acceleration is constant", "extra_properties": null, "node_slug": "v/average-velocity-for-constant-acceleration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.m3u8/MAS6mBRZZXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MAS6mBRZZXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608384", "sha": "35811598b5760cbc70b7c6d819747c98fec64fcc", "translated_description": "Calculating average velocity when acceleration is constant", "image_url": "https://img.youtube.com/vi/MAS6mBRZZXA/hqdefault.jpg", "youtube_id": "MAS6mBRZZXA", "content_kind": "Video", "readable_id": "average-velocity-for-constant-acceleration"}, {"translated_youtube_id": "VYgSXBjEA8I", "relative_url": "/video/acceleration-of-aircraft-carrier-takeoff", "has_questions": false, "keywords": "physics, nimitz, force, pilot", "ka_url": "http://www.khanacademy.org/video/acceleration-of-aircraft-carrier-takeoff", "duration": 856, "translated_title": "Acceleration of aircraft carrier takeoff", "translated_description_html": "Using what we know about takeoff velocity and runway length to determine acceleration", "id": "115608386", "description_html": "Using what we know about takeoff velocity and runway length to determine acceleration", "title": "Acceleration of aircraft carrier takeoff", "progress_key": "v115608386", "edit_slug": "edit/v/115608386", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using what we know about takeoff velocity and runway length to determine acceleration", "extra_properties": null, "node_slug": "v/acceleration-of-aircraft-carrier-takeoff", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.mp4/VYgSXBjEA8I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.mp4/VYgSXBjEA8I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.m3u8/VYgSXBjEA8I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VYgSXBjEA8I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608386", "sha": "013536ca4f2b3372a19aa86983dcf6ea6201dff8", "translated_description": "Using what we know about takeoff velocity and runway length to determine acceleration", "image_url": "https://img.youtube.com/vi/VYgSXBjEA8I/hqdefault.jpg", "youtube_id": "VYgSXBjEA8I", "content_kind": "Video", "readable_id": "acceleration-of-aircraft-carrier-takeoff"}, {"translated_youtube_id": "wlB0x9W-qBU", "relative_url": "/video/deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity", "has_questions": false, "keywords": "physics, distance, speed, kinematics, formula", "ka_url": "http://www.khanacademy.org/video/deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity", "duration": 598, "translated_title": "Deriving displacement as a function of time, acceleration and initial velocity", "translated_description_html": "Deriving displacement as a function of time, constant acceleration and initial velocity", "id": "117992975", "description_html": "Deriving displacement as a function of time, constant acceleration and initial velocity", "title": "Deriving displacement as a function of time, acceleration and initial velocity", "progress_key": "v117992975", "edit_slug": "edit/v/117992975", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deriving displacement as a function of time, constant acceleration and initial velocity", "extra_properties": null, "node_slug": "v/deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-15T23:27:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wlB0x9W-qBU.mp4/wlB0x9W-qBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wlB0x9W-qBU.mp4/wlB0x9W-qBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wlB0x9W-qBU.m3u8/wlB0x9W-qBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wlB0x9W-qBU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v117992975", "sha": "ceea64beaae119d8e538bd47c56a2d541ece2e49", "translated_description": "Deriving displacement as a function of time, constant acceleration and initial velocity", "image_url": "https://img.youtube.com/vi/wlB0x9W-qBU/hqdefault.jpg", "youtube_id": "wlB0x9W-qBU", "content_kind": "Video", "readable_id": "deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity"}, {"translated_youtube_id": "T0zpF_j7Mvo", "relative_url": "/video/plotting-projectile-displacement--acceleration--and-velocity", "has_questions": false, "keywords": "physics, projectile, motion, parabola", "ka_url": "http://www.khanacademy.org/video/plotting-projectile-displacement--acceleration--and-velocity", "duration": 978, "translated_title": "Plotting projectile displacement, acceleration, and velocity", "translated_description_html": "Plotting projectile displacement, acceleration, and velocity as a function to change in time", "id": "117992973", "description_html": "Plotting projectile displacement, acceleration, and velocity as a function to change in time", "title": "Plotting projectile displacement, acceleration, and velocity", "progress_key": "v117992973", "edit_slug": "edit/v/117992973", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Plotting projectile displacement, acceleration, and velocity as a function to change in time", "extra_properties": null, "node_slug": "v/plotting-projectile-displacement--acceleration--and-velocity", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-15T23:27:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0zpF_j7Mvo.mp4/T0zpF_j7Mvo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0zpF_j7Mvo.mp4/T0zpF_j7Mvo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T0zpF_j7Mvo.m3u8/T0zpF_j7Mvo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T0zpF_j7Mvo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v117992973", "sha": "99cd2361328a20ba86b594eebedf56db783052c7", "translated_description": "Plotting projectile displacement, acceleration, and velocity as a function to change in time", "image_url": "https://img.youtube.com/vi/T0zpF_j7Mvo/hqdefault.jpg", "youtube_id": "T0zpF_j7Mvo", "content_kind": "Video", "readable_id": "plotting-projectile-displacement--acceleration--and-velocity"}, {"translated_youtube_id": "IYS4Bd9F3LA", "relative_url": "/video/projectile-height-given-time", "has_questions": false, "keywords": "physics, mechanics, projectile, motion", "ka_url": "http://www.khanacademy.org/video/projectile-height-given-time", "duration": 531, "translated_title": "Projectile height given time", "translated_description_html": "Figuring out how high a ball gets given how long it spends in the air", "id": "117992974", "description_html": "Figuring out how high a ball gets given how long it spends in the air", "title": "Projectile height given time", "progress_key": "v117992974", "edit_slug": "edit/v/117992974", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out how high a ball gets given how long it spends in the air", "extra_properties": null, "node_slug": "v/projectile-height-given-time", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-15T23:27:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IYS4Bd9F3LA.mp4/IYS4Bd9F3LA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IYS4Bd9F3LA.mp4/IYS4Bd9F3LA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IYS4Bd9F3LA.m3u8/IYS4Bd9F3LA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IYS4Bd9F3LA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v117992974", "sha": "46253688aa1a9e50ef70cf1cae6b0f36ed7bdec4", "translated_description": "Figuring out how high a ball gets given how long it spends in the air", "image_url": "https://img.youtube.com/vi/IYS4Bd9F3LA/hqdefault.jpg", "youtube_id": "IYS4Bd9F3LA", "content_kind": "Video", "readable_id": "projectile-height-given-time"}, {"translated_youtube_id": "P7LKEkcNibo", "relative_url": "/video/deriving-max-projectile-displacement-given-time", "has_questions": false, "keywords": "physics, projectile, motion", "ka_url": "http://www.khanacademy.org/video/deriving-max-projectile-displacement-given-time", "duration": 429, "translated_title": "Deriving max projectile displacement given time", "translated_description_html": "Deriving a formula for maximum projectile displacement as a function of elapsed time", "id": "117992977", "description_html": "Deriving a formula for maximum projectile displacement as a function of elapsed time", "title": "Deriving max projectile displacement given time", "progress_key": "v117992977", "edit_slug": "edit/v/117992977", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Deriving a formula for maximum projectile displacement as a function of elapsed time", "extra_properties": null, "node_slug": "v/deriving-max-projectile-displacement-given-time", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-15T23:27:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P7LKEkcNibo.mp4/P7LKEkcNibo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P7LKEkcNibo.mp4/P7LKEkcNibo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P7LKEkcNibo.m3u8/P7LKEkcNibo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P7LKEkcNibo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v117992977", "sha": "8059fc39016095e66cc836c728032d5b4460b311", "translated_description": "Deriving a formula for maximum projectile displacement as a function of elapsed time", "image_url": "https://img.youtube.com/vi/P7LKEkcNibo/hqdefault.jpg", "youtube_id": "P7LKEkcNibo", "content_kind": "Video", "readable_id": "deriving-max-projectile-displacement-given-time"}, {"translated_youtube_id": "2ZgBJxT9pbU", "relative_url": "/video/impact-velocity-from-given-height", "has_questions": false, "keywords": "projectile, motion", "ka_url": "http://www.khanacademy.org/video/impact-velocity-from-given-height", "duration": 703, "translated_title": "Impact velocity from given height", "translated_description_html": "Determining how fast something will be traveling upon impact when it is released from a given height", "id": "117992976", "description_html": "Determining how fast something will be traveling upon impact when it is released from a given height", "title": "Impact velocity from given height", "progress_key": "v117992976", "edit_slug": "edit/v/117992976", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Determining how fast something will be traveling upon impact when it is released from a given height", "extra_properties": null, "node_slug": "v/impact-velocity-from-given-height", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-15T23:27:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2ZgBJxT9pbU.mp4/2ZgBJxT9pbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2ZgBJxT9pbU.mp4/2ZgBJxT9pbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2ZgBJxT9pbU.m3u8/2ZgBJxT9pbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2ZgBJxT9pbU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v117992976", "sha": "d1776bffcf6627943dfc1f5b61d97e88f3a953dd", "translated_description": "Determining how fast something will be traveling upon impact when it is released from a given height", "image_url": "https://img.youtube.com/vi/2ZgBJxT9pbU/hqdefault.jpg", "youtube_id": "2ZgBJxT9pbU", "content_kind": "Video", "readable_id": "impact-velocity-from-given-height"}, {"translated_youtube_id": "1E3Z_R5AHdg", "relative_url": "/video/viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface", "has_questions": false, "keywords": "field, vector, scalar", "ka_url": "http://www.khanacademy.org/video/viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface", "duration": 451, "translated_title": "Viewing g as the value of Earth's gravitational field near the surface", "translated_description_html": "Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall", "id": "408498076", "description_html": "Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall", "title": "Viewing g as the value of Earth's gravitational field near the surface", "progress_key": "v408498076", "edit_slug": "edit/v/408498076", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall", "extra_properties": null, "node_slug": "v/viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-29T11:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1E3Z_R5AHdg.mp4/1E3Z_R5AHdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1E3Z_R5AHdg.mp4/1E3Z_R5AHdg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1E3Z_R5AHdg.m3u8/1E3Z_R5AHdg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1E3Z_R5AHdg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v408498076", "sha": "c72e3c337c74fed54ee70a0910fc8605cb91b81a", "translated_description": "Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall", "image_url": "https://img.youtube.com/vi/1E3Z_R5AHdg/hqdefault.jpg", "youtube_id": "1E3Z_R5AHdg", "content_kind": "Video", "readable_id": "viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface"}], "twitter_url": "", "translated_description": "We don't believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential). This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems). Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We don't believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential). This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems). Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.", "x_pos": 0.0, "node_slug": "kinematic_formulas", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa4bbd186", "topic_page_url": "/science/physics/one-dimensional-motion/kinematic_formulas", "extended_slug": "science/physics/one-dimensional-motion/kinematic_formulas", "slug": "kinematic_formulas", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c974562f3173ae1edd1c8cd9e97624f8d8e33ea6", "standalone_title": "Kinematic formulas and projectile motion", "y_pos": 0.0, "current_revision_key": "c974562f3173ae1edd1c8cd9e97624f8d8e33ea6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/one-dimensional-motion/old-projectile-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion", "translated_standalone_title": "Old videos on projectile motion", "translated_title": "Old videos on projectile motion", "gplus_url": "", "id": "x560c5a47", "old_key_name": "EIJ5JzEqiuiP7QH8vGDgeF8qtHBLp02VrByAJI9_", "hide": false, "title": "Old videos on projectile motion", "child_data": [{"kind": "Video", "id": 25515}, {"kind": "Video", "id": 25517}, {"kind": "Video", "id": 25519}, {"kind": "Video", "id": 25521}, {"kind": "Video", "id": 25523}], "children": [{"translated_youtube_id": "15zliAL4llE", "relative_url": "/video/projectile-motion--part-1", "has_questions": false, "keywords": "physics, projectile, acceleration, gravity, velocity", "ka_url": "http://www.khanacademy.org/video/projectile-motion--part-1", "duration": 547, "translated_title": "Projectile motion (part 1)", "translated_description_html": "Using the equations of motion to figure out things about falling objects", "id": "25515", "description_html": "Using the equations of motion to figure out things about falling objects", "title": "Projectile motion (part 1)", "progress_key": "v25515", "edit_slug": "edit/v/25515", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the equations of motion to figure out things about falling objects", "extra_properties": null, "node_slug": "v/projectile-motion--part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:49:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/15zliAL4llE.mp4/15zliAL4llE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/15zliAL4llE.mp4/15zliAL4llE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/15zliAL4llE.m3u8/15zliAL4llE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=15zliAL4llE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25515", "sha": "3cb1215dc140108930323752d3f7aca0c294f7e1", "translated_description": "Using the equations of motion to figure out things about falling objects", "image_url": "https://img.youtube.com/vi/15zliAL4llE/hqdefault.jpg", "youtube_id": "15zliAL4llE", "content_kind": "Video", "readable_id": "projectile-motion--part-1"}, {"translated_youtube_id": "emdHj6WodLw", "relative_url": "/video/projectile-motion--part-2", "has_questions": false, "keywords": "velocity, acceleration, gravity, physics, math, khan", "ka_url": "http://www.khanacademy.org/video/projectile-motion--part-2", "duration": 553, "translated_title": "Projectile motion (part 2)", "translated_description_html": "A derivation of a new motion equation", "id": "25517", "description_html": "A derivation of a new motion equation", "title": "Projectile motion (part 2)", "progress_key": "v25517", "edit_slug": "edit/v/25517", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A derivation of a new motion equation", "extra_properties": null, "node_slug": "v/projectile-motion--part-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:49:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/emdHj6WodLw.mp4/emdHj6WodLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/emdHj6WodLw.mp4/emdHj6WodLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/emdHj6WodLw.m3u8/emdHj6WodLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=emdHj6WodLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25517", "sha": "526bfd5e582cd9b9737874a96dab0deebac6b138", "translated_description": "A derivation of a new motion equation", "image_url": "https://img.youtube.com/vi/emdHj6WodLw/hqdefault.jpg", "youtube_id": "emdHj6WodLw", "content_kind": "Video", "readable_id": "projectile-motion--part-2"}, {"translated_youtube_id": "Y5cSGxdDHz4", "relative_url": "/video/projectile-motion--part-3", "has_questions": false, "keywords": "physics, projectile, motion, acceleration, velocity, khan", "ka_url": "http://www.khanacademy.org/video/projectile-motion--part-3", "duration": 544, "translated_title": "Projectile motion (part 3)", "translated_description_html": "An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration", "id": "25519", "description_html": "An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration", "title": "Projectile motion (part 3)", "progress_key": "v25519", "edit_slug": "edit/v/25519", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration", "extra_properties": null, "node_slug": "v/projectile-motion--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:49:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y5cSGxdDHz4.mp4/Y5cSGxdDHz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y5cSGxdDHz4.mp4/Y5cSGxdDHz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y5cSGxdDHz4.m3u8/Y5cSGxdDHz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y5cSGxdDHz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25519", "sha": "764edb296af3617f48f730ee76cb1936820d69f8", "translated_description": "An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration", "image_url": "https://img.youtube.com/vi/Y5cSGxdDHz4/hqdefault.jpg", "youtube_id": "Y5cSGxdDHz4", "content_kind": "Video", "readable_id": "projectile-motion--part-3"}, {"translated_youtube_id": "-W3RkgvLrGI", "relative_url": "/video/projectile-motion--part-4", "has_questions": false, "keywords": "physics, accleration, time, velocity, khan", "ka_url": "http://www.khanacademy.org/video/projectile-motion--part-4", "duration": 537, "translated_title": "Projectile motion (part 4)", "translated_description_html": "Solving for time when you are given the change in distance, acceleration, and initial velocity", "id": "25521", "description_html": "Solving for time when you are given the change in distance, acceleration, and initial velocity", "title": "Projectile motion (part 4)", "progress_key": "v25521", "edit_slug": "edit/v/25521", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Solving for time when you are given the change in distance, acceleration, and initial velocity", "extra_properties": null, "node_slug": "v/projectile-motion--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:49:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-W3RkgvLrGI.mp4/-W3RkgvLrGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-W3RkgvLrGI.mp4/-W3RkgvLrGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-W3RkgvLrGI.m3u8/-W3RkgvLrGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-W3RkgvLrGI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25521", "sha": "a9a216958faff84041b05af4cae4916759368cfe", "translated_description": "Solving for time when you are given the change in distance, acceleration, and initial velocity", "image_url": "https://img.youtube.com/vi/-W3RkgvLrGI/hqdefault.jpg", "youtube_id": "-W3RkgvLrGI", "content_kind": "Video", "readable_id": "projectile-motion--part-4"}, {"translated_youtube_id": "dlpmllTx5MY", "relative_url": "/video/projectile-motion--part-5", "has_questions": false, "keywords": "Physics, projectile, acceleration, velocity, khan", "ka_url": "http://www.khanacademy.org/video/projectile-motion--part-5", "duration": 573, "translated_title": "Projectile motion (part 5)", "translated_description_html": "How fast was the ball that you threw upwards?", "id": "25523", "description_html": "How fast was the ball that you threw upwards?", "title": "Projectile motion (part 5)", "progress_key": "v25523", "edit_slug": "edit/v/25523", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How fast was the ball that you threw upwards?", "extra_properties": null, "node_slug": "v/projectile-motion--part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:49:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dlpmllTx5MY.mp4/dlpmllTx5MY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dlpmllTx5MY.mp4/dlpmllTx5MY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dlpmllTx5MY.m3u8/dlpmllTx5MY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dlpmllTx5MY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25523", "sha": "42e515103e08c22c9ea22919b6cdf783b4370426", "translated_description": "How fast was the ball that you threw upwards?", "image_url": "https://img.youtube.com/vi/dlpmllTx5MY/hqdefault.jpg", "youtube_id": "dlpmllTx5MY", "content_kind": "Video", "readable_id": "projectile-motion--part-5"}], "twitter_url": "", "translated_description": "This tutorial has some of the old videos that Sal first did around 2007. This content is covered elsewhere, but some folks like the raw (and masculine) simplicity of these first lessons (Sal added the bit about \"masculine\").", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial has some of the old videos that Sal first did around 2007. This content is covered elsewhere, but some folks like the raw (and masculine) simplicity of these first lessons (Sal added the bit about \"masculine\").", "x_pos": 0.0, "node_slug": "old-projectile-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax560c5a47", "topic_page_url": "/science/physics/one-dimensional-motion/old-projectile-motion", "extended_slug": "science/physics/one-dimensional-motion/old-projectile-motion", "slug": "old-projectile-motion", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b1d5da925480997c61f054fd576f45c0434864f0", "standalone_title": "Old videos on projectile motion", "y_pos": 0.0, "current_revision_key": "b1d5da925480997c61f054fd576f45c0434864f0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.", "x_pos": 0.0, "node_slug": "one-dimensional-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4549128e", "topic_page_url": "/science/physics/one-dimensional-motion", "extended_slug": "science/physics/one-dimensional-motion", "slug": "one-dimensional-motion", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ff5038bc0755719194092734b2c9fc1df2d94a62", "standalone_title": "One-dimensional motion", "y_pos": 0.0, "current_revision_key": "ff5038bc0755719194092734b2c9fc1df2d94a62", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/two-dimensional-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/two-dimensional-motion", "translated_standalone_title": "Two-dimensional motion", "translated_title": "Two-dimensional motion", "gplus_url": "", "id": "xb32c33a3", "old_key_name": "MZ66LTL3JZ-yQkPIpyeRGrOmoJPC2rzGoPrzOQon", "hide": false, "title": "Two-dimensional motion", "child_data": [{"kind": "Topic", "id": "xfe544d93"}, {"kind": "Topic", "id": "x4d7416d3"}, {"kind": "Topic", "id": "xac0cb604"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot", "translated_standalone_title": "Two-dimensional projectile motion", "translated_title": "Two-dimensional projectile motion", "gplus_url": "", "id": "xfe544d93", "old_key_name": "OkZQ3dx6h7y26JDN3mIqLVfumrnn0BL_JgJds2at", "hide": false, "title": "Two-dimensional projectile motion", "child_data": [{"kind": "Video", "id": 119166564}, {"kind": "Video", "id": 119166555}, {"kind": "Video", "id": 119166557}, {"kind": "Video", "id": 119166560}, {"kind": "Video", "id": 119166561}, {"kind": "Video", "id": 119166563}, {"kind": "Video", "id": 119166556}, {"kind": "Video", "id": 119166558}, {"kind": "Video", "id": 120330492}, {"kind": "Video", "id": 25609}, {"kind": "Video", "id": 25611}, {"kind": "Video", "id": 25617}], "children": [{"translated_youtube_id": "xp6ibuI8UuQ", "relative_url": "/video/visualizing-vectors-in-2-dimensions", "has_questions": false, "keywords": "physics, vectors, dimensions, components", "ka_url": "http://www.khanacademy.org/video/visualizing-vectors-in-2-dimensions", "duration": 774, "translated_title": "Visualizing vectors in 2 dimensions", "translated_description_html": "Visualizing, adding and breaking down vectors in 2 dimensions", "id": "119166564", "description_html": "Visualizing, adding and breaking down vectors in 2 dimensions", "title": "Visualizing vectors in 2 dimensions", "progress_key": "v119166564", "edit_slug": "edit/v/119166564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing, adding and breaking down vectors in 2 dimensions", "extra_properties": null, "node_slug": "v/visualizing-vectors-in-2-dimensions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.m3u8/xp6ibuI8UuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xp6ibuI8UuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166564", "sha": "2c73696528ddc982a007e26f22bc0c04a51452b1", "translated_description": "Visualizing, adding and breaking down vectors in 2 dimensions", "image_url": "https://img.youtube.com/vi/xp6ibuI8UuQ/hqdefault.jpg", "youtube_id": "xp6ibuI8UuQ", "content_kind": "Video", "readable_id": "visualizing-vectors-in-2-dimensions"}, {"translated_youtube_id": "ZZ39o1rAZWY", "relative_url": "/video/projectile-at-an-angle", "has_questions": false, "keywords": "physics, projectile, component, launch, motion", "ka_url": "http://www.khanacademy.org/video/projectile-at-an-angle", "duration": 766, "translated_title": "Projectile at an angle", "translated_description_html": "Figuring out the horizontal displacement for a projectile launched at an angle", "id": "119166555", "description_html": "Figuring out the horizontal displacement for a projectile launched at an angle", "title": "Projectile at an angle", "progress_key": "v119166555", "edit_slug": "edit/v/119166555", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the horizontal displacement for a projectile launched at an angle", "extra_properties": null, "node_slug": "v/projectile-at-an-angle", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZZ39o1rAZWY.mp4/ZZ39o1rAZWY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZZ39o1rAZWY.mp4/ZZ39o1rAZWY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZZ39o1rAZWY.m3u8/ZZ39o1rAZWY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZZ39o1rAZWY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166555", "sha": "56ec16ff9df927b892333e746e85934a9e7ad77a", "translated_description": "Figuring out the horizontal displacement for a projectile launched at an angle", "image_url": "https://img.youtube.com/vi/ZZ39o1rAZWY/hqdefault.jpg", "youtube_id": "ZZ39o1rAZWY", "content_kind": "Video", "readable_id": "projectile-at-an-angle"}, {"translated_youtube_id": "_NWc3C3cTNA", "relative_url": "/video/different-way-to-determine-time-in-air", "has_questions": false, "keywords": "physics, projectile, motion, kinematics", "ka_url": "http://www.khanacademy.org/video/different-way-to-determine-time-in-air", "duration": 587, "translated_title": "Different way to determine time in air", "translated_description_html": "Another way to determine time in the air given an initial vertical velocity", "id": "119166557", "description_html": "Another way to determine time in the air given an initial vertical velocity", "title": "Different way to determine time in air", "progress_key": "v119166557", "edit_slug": "edit/v/119166557", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another way to determine time in the air given an initial vertical velocity", "extra_properties": null, "node_slug": "v/different-way-to-determine-time-in-air", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_NWc3C3cTNA.mp4/_NWc3C3cTNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_NWc3C3cTNA.mp4/_NWc3C3cTNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_NWc3C3cTNA.m3u8/_NWc3C3cTNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_NWc3C3cTNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166557", "sha": "b9118d96199375d4f6ec021549d494076b34de49", "translated_description": "Another way to determine time in the air given an initial vertical velocity", "image_url": "https://img.youtube.com/vi/_NWc3C3cTNA/hqdefault.jpg", "youtube_id": "_NWc3C3cTNA", "content_kind": "Video", "readable_id": "different-way-to-determine-time-in-air"}, {"translated_youtube_id": "a5QnXi_lZII", "relative_url": "/video/launching-and-landing-on-different-elevations", "has_questions": false, "keywords": "physics, projectile, motion", "ka_url": "http://www.khanacademy.org/video/launching-and-landing-on-different-elevations", "duration": 912, "translated_title": "Launching and landing on different elevations", "translated_description_html": "More complicated example involving launching and landing at different elevations", "id": "119166560", "description_html": "More complicated example involving launching and landing at different elevations", "title": "Launching and landing on different elevations", "progress_key": "v119166560", "edit_slug": "edit/v/119166560", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More complicated example involving launching and landing at different elevations", "extra_properties": null, "node_slug": "v/launching-and-landing-on-different-elevations", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5QnXi_lZII.mp4/a5QnXi_lZII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5QnXi_lZII.mp4/a5QnXi_lZII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5QnXi_lZII.m3u8/a5QnXi_lZII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5QnXi_lZII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166560", "sha": "0a0a1f5101889e55b767ff10c084452871901ab9", "translated_description": "More complicated example involving launching and landing at different elevations", "image_url": "https://img.youtube.com/vi/a5QnXi_lZII/hqdefault.jpg", "youtube_id": "a5QnXi_lZII", "content_kind": "Video", "readable_id": "launching-and-landing-on-different-elevations"}, {"translated_youtube_id": "UXORCpvKYiI", "relative_url": "/video/total-displacement-for-projectile", "has_questions": false, "keywords": "kinematics, vector, acceleration", "ka_url": "http://www.khanacademy.org/video/total-displacement-for-projectile", "duration": 826, "translated_title": "Total displacement for projectile", "translated_description_html": "Reconstructing the total displacement vector for a projectile", "id": "119166561", "description_html": "Reconstructing the total displacement vector for a projectile", "title": "Total displacement for projectile", "progress_key": "v119166561", "edit_slug": "edit/v/119166561", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reconstructing the total displacement vector for a projectile", "extra_properties": null, "node_slug": "v/total-displacement-for-projectile", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.mp4/UXORCpvKYiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.mp4/UXORCpvKYiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.m3u8/UXORCpvKYiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UXORCpvKYiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166561", "sha": "bf7c727baa6ea5d799c46a727ceb9da96f3b84e0", "translated_description": "Reconstructing the total displacement vector for a projectile", "image_url": "https://img.youtube.com/vi/UXORCpvKYiI/hqdefault.jpg", "youtube_id": "UXORCpvKYiI", "content_kind": "Video", "readable_id": "total-displacement-for-projectile"}, {"translated_youtube_id": "sTp4cI9VyCU", "relative_url": "/video/total-final-velocity-for-projectile", "has_questions": false, "keywords": "physics, kinematics, projectile, motion", "ka_url": "http://www.khanacademy.org/video/total-final-velocity-for-projectile", "duration": 473, "translated_title": "Total final velocity for projectile", "translated_description_html": "Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal", "id": "119166563", "description_html": "Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal", "title": "Total final velocity for projectile", "progress_key": "v119166563", "edit_slug": "edit/v/119166563", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal", "extra_properties": null, "node_slug": "v/total-final-velocity-for-projectile", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sTp4cI9VyCU.mp4/sTp4cI9VyCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sTp4cI9VyCU.mp4/sTp4cI9VyCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sTp4cI9VyCU.m3u8/sTp4cI9VyCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sTp4cI9VyCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166563", "sha": "9cc3ded4109ed222a8c0d079c2858b1630e8cba0", "translated_description": "Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal", "image_url": "https://img.youtube.com/vi/sTp4cI9VyCU/hqdefault.jpg", "youtube_id": "sTp4cI9VyCU", "content_kind": "Video", "readable_id": "total-final-velocity-for-projectile"}, {"translated_youtube_id": "DNoDJlB0ygU", "relative_url": "/video/correction-to-total-final-velocity-for-projectile", "has_questions": false, "keywords": "correction, physics", "ka_url": "http://www.khanacademy.org/video/correction-to-total-final-velocity-for-projectile", "duration": 161, "translated_title": "Correction to total final velocity for projectile", "translated_description_html": "Correction to \"Total Final Velocity for Projectile\" Video", "id": "119166556", "description_html": "Correction to \"Total Final Velocity for Projectile\" Video", "title": "Correction to total final velocity for projectile", "progress_key": "v119166556", "edit_slug": "edit/v/119166556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction to \"Total Final Velocity for Projectile\" Video", "extra_properties": null, "node_slug": "v/correction-to-total-final-velocity-for-projectile", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DNoDJlB0ygU.mp4/DNoDJlB0ygU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DNoDJlB0ygU.mp4/DNoDJlB0ygU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DNoDJlB0ygU.m3u8/DNoDJlB0ygU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DNoDJlB0ygU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166556", "sha": "a9a71d18e77056877450c3847343c1b97899d6ab", "translated_description": "Correction to \"Total Final Velocity for Projectile\" Video", "image_url": "https://img.youtube.com/vi/DNoDJlB0ygU/hqdefault.jpg", "youtube_id": "DNoDJlB0ygU", "content_kind": "Video", "readable_id": "correction-to-total-final-velocity-for-projectile"}, {"translated_youtube_id": "jNESnky3RVg", "relative_url": "/video/projectile-on-an-incline", "has_questions": false, "keywords": "physics, projectile, motion", "ka_url": "http://www.khanacademy.org/video/projectile-on-an-incline", "duration": 1097, "translated_title": "Projectile on an incline", "translated_description_html": "Challenging problem of a projectile on an inclined plane", "id": "119166558", "description_html": "Challenging problem of a projectile on an inclined plane", "title": "Projectile on an incline", "progress_key": "v119166558", "edit_slug": "edit/v/119166558", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Challenging problem of a projectile on an inclined plane", "extra_properties": null, "node_slug": "v/projectile-on-an-incline", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jNESnky3RVg.mp4/jNESnky3RVg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jNESnky3RVg.mp4/jNESnky3RVg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jNESnky3RVg.m3u8/jNESnky3RVg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jNESnky3RVg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166558", "sha": "af0d39f677202175eda7485b1a3aa84327f01389", "translated_description": "Challenging problem of a projectile on an inclined plane", "image_url": "https://img.youtube.com/vi/jNESnky3RVg/hqdefault.jpg", "youtube_id": "jNESnky3RVg", "content_kind": "Video", "readable_id": "projectile-on-an-incline"}, {"translated_youtube_id": "2QjdcVTgTTA", "relative_url": "/video/unit-vectors-and-engineering-notation", "has_questions": false, "keywords": "unit, vectors, engineering", "ka_url": "http://www.khanacademy.org/video/unit-vectors-and-engineering-notation", "duration": 478, "translated_title": "Unit vectors and engineering notation", "translated_description_html": "Using unit vectors to represent the components of a vector", "id": "120330492", "description_html": "Using unit vectors to represent the components of a vector", "title": "Unit vectors and engineering notation", "progress_key": "v120330492", "edit_slug": "edit/v/120330492", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using unit vectors to represent the components of a vector", "extra_properties": null, "node_slug": "v/unit-vectors-and-engineering-notation", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-17T23:26:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2QjdcVTgTTA.mp4/2QjdcVTgTTA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2QjdcVTgTTA.mp4/2QjdcVTgTTA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2QjdcVTgTTA.m3u8/2QjdcVTgTTA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2QjdcVTgTTA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v120330492", "sha": "21fdbbb51f69130c70edce2f56e84dae09d39ad9", "translated_description": "Using unit vectors to represent the components of a vector", "image_url": "https://img.youtube.com/vi/2QjdcVTgTTA/hqdefault.jpg", "youtube_id": "2QjdcVTgTTA", "content_kind": "Video", "readable_id": "unit-vectors-and-engineering-notation"}, {"translated_youtube_id": "FaF3v-ezbSk", "relative_url": "/video/unit-vector-notation", "has_questions": false, "keywords": "unit, vector, physics, calculus, vectors", "ka_url": "http://www.khanacademy.org/video/unit-vector-notation", "duration": 594, "translated_title": "Unit vector notation", "translated_description_html": "Expressing a vector as the scaled sum of unit vectors", "id": "25609", "description_html": "Expressing a vector as the scaled sum of unit vectors", "title": "Unit vector notation", "progress_key": "v25609", "edit_slug": "edit/v/25609", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Expressing a vector as the scaled sum of unit vectors", "extra_properties": null, "node_slug": "v/unit-vector-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.m3u8/FaF3v-ezbSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FaF3v-ezbSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25609", "sha": "d2daf8e9c2aa5de4cc2419a5156d39bed2205f81", "translated_description": "Expressing a vector as the scaled sum of unit vectors", "image_url": "https://img.youtube.com/vi/FaF3v-ezbSk/hqdefault.jpg", "youtube_id": "FaF3v-ezbSk", "content_kind": "Video", "readable_id": "unit-vector-notation"}, {"translated_youtube_id": "595Tiga1gIg", "relative_url": "/video/unit-vector-notation--part-2", "has_questions": false, "keywords": "adding, vectors, physics, calculus", "ka_url": "http://www.khanacademy.org/video/unit-vector-notation--part-2", "duration": 553, "translated_title": "Unit vector notation (part 2)", "translated_description_html": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "id": "25611", "description_html": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "title": "Unit vector notation (part 2)", "progress_key": "v25611", "edit_slug": "edit/v/25611", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "extra_properties": null, "node_slug": "v/unit-vector-notation--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.mp4/595Tiga1gIg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.mp4/595Tiga1gIg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.m3u8/595Tiga1gIg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=595Tiga1gIg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25611", "sha": "eb793819076b6035b3071436e3792c913c19aec9", "translated_description": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "image_url": "https://img.youtube.com/vi/595Tiga1gIg/hqdefault.jpg", "youtube_id": "595Tiga1gIg", "content_kind": "Video", "readable_id": "unit-vector-notation--part-2"}, {"translated_youtube_id": "jl_gQ-eL3xo", "relative_url": "/video/projectile-motion-with-ordered-set-notation", "has_questions": false, "keywords": "vector, vectors, ordered, set, physics, precalculus, projectile, motion", "ka_url": "http://www.khanacademy.org/video/projectile-motion-with-ordered-set-notation", "duration": 617, "translated_title": "Projectile motion with ordered set notation", "translated_description_html": "Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation", "id": "25617", "description_html": "Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation", "title": "Projectile motion with ordered set notation", "progress_key": "v25617", "edit_slug": "edit/v/25617", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation", "extra_properties": null, "node_slug": "v/projectile-motion-with-ordered-set-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jl_gQ-eL3xo.mp4/jl_gQ-eL3xo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jl_gQ-eL3xo.mp4/jl_gQ-eL3xo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jl_gQ-eL3xo.m3u8/jl_gQ-eL3xo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jl_gQ-eL3xo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25617", "sha": "72fc879be2d97c17bcc60f5ebe1305f56c8370dd", "translated_description": "Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation", "image_url": "https://img.youtube.com/vi/jl_gQ-eL3xo/hqdefault.jpg", "youtube_id": "jl_gQ-eL3xo", "content_kind": "Video", "readable_id": "projectile-motion-with-ordered-set-notation"}], "twitter_url": "", "translated_description": "Let's escape from the binds of one-dimension (where we were forced to launch things straight up) and start launching at angles. With a little bit of trig (might want to review sin and cos) we'll be figuring out just how long and far something can travel.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's escape from the binds of one-dimension (where we were forced to launch things straight up) and start launching at angles. With a little bit of trig (might want to review sin and cos) we'll be figuring out just how long and far something can travel.", "x_pos": 0.0, "node_slug": "two-dimensional-projectile-mot", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfe544d93", "topic_page_url": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot", "extended_slug": "science/physics/two-dimensional-motion/two-dimensional-projectile-mot", "slug": "two-dimensional-projectile-mot", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "18c42406b187ab53768343b94c033aa7e66ad446", "standalone_title": "Two-dimensional projectile motion", "y_pos": 0.0, "current_revision_key": "18c42406b187ab53768343b94c033aa7e66ad446", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/two-dimensional-motion/optimal-projectile-angle", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle", "translated_standalone_title": "Optimal angle for a projectile", "translated_title": "Optimal angle for a projectile", "gplus_url": "", "id": "x4d7416d3", "old_key_name": "udj6rjcjUV-Q9fVCi6J1PH-4bx9-JrPXcCh9L-DJ", "hide": false, "title": "Optimal angle for a projectile", "child_data": [{"kind": "Video", "id": 2600647}, {"kind": "Video", "id": 2600648}, {"kind": "Video", "id": 2600649}, {"kind": "Video", "id": 2600650}], "children": [{"translated_youtube_id": "RhUdv0jjfcE", "relative_url": "/video/optimal-angle-for-a-projectile-part-1", "has_questions": false, "keywords": "Optimal, angle, for, a, projectile, part, 1", "ka_url": "http://www.khanacademy.org/video/optimal-angle-for-a-projectile-part-1", "duration": 350, "translated_title": "Optimal angle for a projectile part 1", "translated_description_html": null, "id": "2600647", "description_html": null, "title": "Optimal angle for a projectile part 1", "progress_key": "v2600647", "edit_slug": "edit/v/2600647", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": null, "extra_properties": null, "node_slug": "v/optimal-angle-for-a-projectile-part-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:49:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RhUdv0jjfcE.mp4/RhUdv0jjfcE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RhUdv0jjfcE.mp4/RhUdv0jjfcE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RhUdv0jjfcE.m3u8/RhUdv0jjfcE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RhUdv0jjfcE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600647", "sha": "e89d8d086288e30b58d282e5ab438a99289cda54", "translated_description": null, "image_url": "https://img.youtube.com/vi/RhUdv0jjfcE/hqdefault.jpg", "youtube_id": "RhUdv0jjfcE", "content_kind": "Video", "readable_id": "optimal-angle-for-a-projectile-part-1"}, {"translated_youtube_id": "XtAB9GOfLiM", "relative_url": "/video/optimal-angle-for-a-projectile-part-2---hangtime", "has_questions": false, "keywords": "Optimal, angle, for, projectile, part, Hangtime", "ka_url": "http://www.khanacademy.org/video/optimal-angle-for-a-projectile-part-2---hangtime", "duration": 252, "translated_title": "Optimal angle for a projectile part 2: Hangtime", "translated_description_html": "Optimal angle for a projectile part 2 - Hangtime", "id": "2600648", "description_html": "Optimal angle for a projectile part 2 - Hangtime", "title": "Optimal angle for a projectile part 2: Hangtime", "progress_key": "v2600648", "edit_slug": "edit/v/2600648", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Optimal angle for a projectile part 2 - Hangtime", "extra_properties": null, "node_slug": "v/optimal-angle-for-a-projectile-part-2---hangtime", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:49:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XtAB9GOfLiM.mp4/XtAB9GOfLiM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XtAB9GOfLiM.mp4/XtAB9GOfLiM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XtAB9GOfLiM.m3u8/XtAB9GOfLiM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XtAB9GOfLiM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600648", "sha": "d2691ab2359fbaec115d42c759e5b44de8e0fb00", "translated_description": "Optimal angle for a projectile part 2 - Hangtime", "image_url": "https://img.youtube.com/vi/XtAB9GOfLiM/hqdefault.jpg", "youtube_id": "XtAB9GOfLiM", "content_kind": "Video", "readable_id": "optimal-angle-for-a-projectile-part-2---hangtime"}, {"translated_youtube_id": "-h_x8TwC1ik", "relative_url": "/video/optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed", "has_questions": false, "keywords": "Horizontal, distance, as, function, of, angle, (and, speed)", "ka_url": "http://www.khanacademy.org/video/optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed", "duration": 159, "translated_title": "Optimal angle for a projectile part 3: Horizontal distance as a function of angle (and speed)", "translated_description_html": "Horizontal distance as a function of angle (and speed)", "id": "2600649", "description_html": "Horizontal distance as a function of angle (and speed)", "title": "Optimal angle for a projectile part 3: Horizontal distance as a function of angle (and speed)", "progress_key": "v2600649", "edit_slug": "edit/v/2600649", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Horizontal distance as a function of angle (and speed)", "extra_properties": null, "node_slug": "v/optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:49:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-h_x8TwC1ik.mp4/-h_x8TwC1ik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-h_x8TwC1ik.mp4/-h_x8TwC1ik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-h_x8TwC1ik.m3u8/-h_x8TwC1ik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-h_x8TwC1ik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600649", "sha": "b0b68c3b17a5eab2ed97d64d4601e0a0793fdeef", "translated_description": "Horizontal distance as a function of angle (and speed)", "image_url": "https://img.youtube.com/vi/-h_x8TwC1ik/hqdefault.jpg", "youtube_id": "-h_x8TwC1ik", "content_kind": "Video", "readable_id": "optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed"}, {"translated_youtube_id": "snw0BrCBQYQ", "relative_url": "/video/optimal-angle-for-a-projectile-part-4---finding-the-optimal-angle-and-distance-with-a-bit-of-calculus", "has_questions": false, "keywords": "Optimal, angle, for, a, projectile, part, 4, Finding, the, and, distance, with, bit, of, calculus", "ka_url": "http://www.khanacademy.org/video/optimal-angle-for-a-projectile-part-4---finding-the-optimal-angle-and-distance-with-a-bit-of-calculus", "duration": 641, "translated_title": "Optimal angle for a projectile part 4: Finding the optimal angle and distance with a bit of calculus", "translated_description_html": null, "id": "2600650", "description_html": null, "title": "Optimal angle for a projectile part 4: Finding the optimal angle and distance with a bit of calculus", "progress_key": "v2600650", "edit_slug": "edit/v/2600650", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": null, "extra_properties": null, "node_slug": "v/optimal-angle-for-a-projectile-part-4---finding-the-optimal-angle-and-distance-with-a-bit-of-calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:49:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/snw0BrCBQYQ.mp4/snw0BrCBQYQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/snw0BrCBQYQ.mp4/snw0BrCBQYQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/snw0BrCBQYQ.m3u8/snw0BrCBQYQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=snw0BrCBQYQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600650", "sha": "e48c59480b192abb40e798b049e8ece7a49d477d", "translated_description": null, "image_url": "https://img.youtube.com/vi/snw0BrCBQYQ/hqdefault.jpg", "youtube_id": "snw0BrCBQYQ", "content_kind": "Video", "readable_id": "optimal-angle-for-a-projectile-part-4---finding-the-optimal-angle-and-distance-with-a-bit-of-calculus"}], "twitter_url": "", "translated_description": "This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you're looking to capture a fort with anything from water balloons to arrows). With a bit of calculus, we'll get to a fairly intuitive answer.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you're looking to capture a fort with anything from water balloons to arrows). With a bit of calculus, we'll get to a fairly intuitive answer.", "x_pos": 0.0, "node_slug": "optimal-projectile-angle", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d7416d3", "topic_page_url": "/science/physics/two-dimensional-motion/optimal-projectile-angle", "extended_slug": "science/physics/two-dimensional-motion/optimal-projectile-angle", "slug": "optimal-projectile-angle", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bcbac3229b05acaa8080ce78f50f9e4012080e53", "standalone_title": "Optimal angle for a projectile", "y_pos": 0.0, "current_revision_key": "bcbac3229b05acaa8080ce78f50f9e4012080e53", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria", "translated_standalone_title": "Centripetal acceleration", "translated_title": "Centripetal acceleration", "gplus_url": "", "id": "xac0cb604", "old_key_name": "RedXY0OGjtYeOghOUU6Eb5DM9nsCjbH_N8pXQ93y", "hide": false, "title": "Centripetal acceleration", "child_data": [{"kind": "Video", "id": 115608381}, {"kind": "Video", "id": 398471877}, {"kind": "Video", "id": 398471876}, {"kind": "Video", "id": "x716a60ef"}, {"kind": "Video", "id": 398485318}, {"kind": "Video", "id": 400091838}, {"kind": "Video", "id": 400139075}, {"kind": "Video", "id": 400091837}], "children": [{"translated_youtube_id": "ITA1rW5UraU", "relative_url": "/video/race-cars-with-constant-speed-around-curve", "has_questions": false, "keywords": "velocity, physics", "ka_url": "http://www.khanacademy.org/video/race-cars-with-constant-speed-around-curve", "duration": 289, "translated_title": "Race cars with constant speed around curve", "translated_description_html": "When acceleration could involve a change in direction and not speed", "id": "115608381", "description_html": "When acceleration could involve a change in direction and not speed", "title": "Race cars with constant speed around curve", "progress_key": "v115608381", "edit_slug": "edit/v/115608381", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "When acceleration could involve a change in direction and not speed", "extra_properties": null, "node_slug": "v/race-cars-with-constant-speed-around-curve", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ITA1rW5UraU.mp4/ITA1rW5UraU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ITA1rW5UraU.mp4/ITA1rW5UraU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ITA1rW5UraU.m3u8/ITA1rW5UraU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ITA1rW5UraU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608381", "sha": "72442795842999a7ab91195b199d37b75c35605f", "translated_description": "When acceleration could involve a change in direction and not speed", "image_url": "https://img.youtube.com/vi/ITA1rW5UraU/hqdefault.jpg", "youtube_id": "ITA1rW5UraU", "content_kind": "Video", "readable_id": "race-cars-with-constant-speed-around-curve"}, {"translated_youtube_id": "vZOk8NnjILg", "relative_url": "/video/centripetal-force-and-acceleration-intuition", "has_questions": false, "keywords": "gravity, tension, friction", "ka_url": "http://www.khanacademy.org/video/centripetal-force-and-acceleration-intuition", "duration": 647, "translated_title": "Centripetal force and acceleration intuition", "translated_description_html": "The direction of the force in cases of circular motion at constant speeds", "id": "398471877", "description_html": "The direction of the force in cases of circular motion at constant speeds", "title": "Centripetal force and acceleration intuition", "progress_key": "v398471877", "edit_slug": "edit/v/398471877", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The direction of the force in cases of circular motion at constant speeds", "extra_properties": null, "node_slug": "v/centripetal-force-and-acceleration-intuition", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-23T11:01:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vZOk8NnjILg.mp4/vZOk8NnjILg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vZOk8NnjILg.mp4/vZOk8NnjILg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vZOk8NnjILg.m3u8/vZOk8NnjILg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vZOk8NnjILg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v398471877", "sha": "0e746497d7e41449b2eeff942636bf55f6b94f50", "translated_description": "The direction of the force in cases of circular motion at constant speeds", "image_url": "https://img.youtube.com/vi/vZOk8NnjILg/hqdefault.jpg", "youtube_id": "vZOk8NnjILg", "content_kind": "Video", "readable_id": "centripetal-force-and-acceleration-intuition"}, {"translated_youtube_id": "NH1_sO8QY3o", "relative_url": "/video/visual-understanding-of-centripetal-acceleration-formula", "has_questions": false, "keywords": "physics", "ka_url": "http://www.khanacademy.org/video/visual-understanding-of-centripetal-acceleration-formula", "duration": 588, "translated_title": "Visual understanding of centripetal acceleration formula", "translated_description_html": "Visual understanding of how centripetal acceleration relates to velocity and radius", "id": "398471876", "description_html": "Visual understanding of how centripetal acceleration relates to velocity and radius", "title": "Visual understanding of centripetal acceleration formula", "progress_key": "v398471876", "edit_slug": "edit/v/398471876", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visual understanding of how centripetal acceleration relates to velocity and radius", "extra_properties": null, "node_slug": "v/visual-understanding-of-centripetal-acceleration-formula", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-23T11:01:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NH1_sO8QY3o.mp4/NH1_sO8QY3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NH1_sO8QY3o.mp4/NH1_sO8QY3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NH1_sO8QY3o.m3u8/NH1_sO8QY3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NH1_sO8QY3o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v398471876", "sha": "9a23fcd16765d5bb06a3e10825adb97cbd1456c5", "translated_description": "Visual understanding of how centripetal acceleration relates to velocity and radius", "image_url": "https://img.youtube.com/vi/NH1_sO8QY3o/hqdefault.jpg", "youtube_id": "NH1_sO8QY3o", "content_kind": "Video", "readable_id": "visual-understanding-of-centripetal-acceleration-formula"}, {"translated_youtube_id": "MKnI3425EMI", "relative_url": "/video/jrhildebrand-turning", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/jrhildebrand-turning", "duration": 385, "translated_title": "Optimal turns at Indianapolis Motor Speedway with JR Hildebrand", "translated_description_html": "", "id": "x716a60ef", "description_html": "", "title": "Optimal turns at Indianapolis Motor Speedway with JR Hildebrand", "progress_key": "vx716a60ef", "edit_slug": "edit/v/x716a60ef", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/jrhildebrand-turning", "deleted": false, "backup_timestamp": "2013-11-16T16:00:47Z", "date_added": "2013-11-16T16:00:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MKnI3425EMI.mp4/MKnI3425EMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MKnI3425EMI.mp4/MKnI3425EMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MKnI3425EMI.m3u8/MKnI3425EMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MKnI3425EMI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx716a60ef", "sha": "96d26775bf82ed01d0901cbc5f7ab82b2f78c0f2", "translated_description": "", "image_url": "https://img.youtube.com/vi/MKnI3425EMI/hqdefault.jpg", "youtube_id": "MKnI3425EMI", "content_kind": "Video", "readable_id": "jrhildebrand-turning"}, {"translated_youtube_id": "XjCEumlJBno", "relative_url": "/video/calculus-proof-of-centripetal-acceleration-formula", "has_questions": false, "keywords": "force, physics, orbit", "ka_url": "http://www.khanacademy.org/video/calculus-proof-of-centripetal-acceleration-formula", "duration": 862, "translated_title": "Calculus proof of centripetal acceleration formula", "translated_description_html": "Proving that a = v^2/r", "id": "398485318", "description_html": "Proving that a = v^2/r", "title": "Calculus proof of centripetal acceleration formula", "progress_key": "v398485318", "edit_slug": "edit/v/398485318", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proving that a = v^2/r", "extra_properties": null, "node_slug": "v/calculus-proof-of-centripetal-acceleration-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-23T11:01:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XjCEumlJBno.mp4/XjCEumlJBno.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XjCEumlJBno.mp4/XjCEumlJBno.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XjCEumlJBno.m3u8/XjCEumlJBno.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XjCEumlJBno&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v398485318", "sha": "618feb0c1251bdab8c199a43931260653075c7f1", "translated_description": "Proving that a = v^2/r", "image_url": "https://img.youtube.com/vi/XjCEumlJBno/hqdefault.jpg", "youtube_id": "XjCEumlJBno", "content_kind": "Video", "readable_id": "calculus-proof-of-centripetal-acceleration-formula"}, {"translated_youtube_id": "wjZb3zPuoeA", "relative_url": "/video/loop-de-loop-question", "has_questions": false, "keywords": "centripetal, acceleration", "ka_url": "http://www.khanacademy.org/video/loop-de-loop-question", "duration": 181, "translated_title": "Loop de loop question", "translated_description_html": "Asks students to find the minimum speed necessary to complete the loop de loop", "id": "400091838", "description_html": "Asks students to find the minimum speed necessary to complete the loop de loop", "title": "Loop de loop question", "progress_key": "v400091838", "edit_slug": "edit/v/400091838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Asks students to find the minimum speed necessary to complete the loop de loop", "extra_properties": null, "node_slug": "v/loop-de-loop-question", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-24T11:01:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wjZb3zPuoeA.mp4/wjZb3zPuoeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wjZb3zPuoeA.mp4/wjZb3zPuoeA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wjZb3zPuoeA.m3u8/wjZb3zPuoeA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wjZb3zPuoeA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400091838", "sha": "f2758ea8571af128e1c8778500299e88bcc9091b", "translated_description": "Asks students to find the minimum speed necessary to complete the loop de loop", "image_url": "https://img.youtube.com/vi/wjZb3zPuoeA/hqdefault.jpg", "youtube_id": "wjZb3zPuoeA", "content_kind": "Video", "readable_id": "loop-de-loop-question"}, {"translated_youtube_id": "4SQDybFjhRE", "relative_url": "/video/loop-de-loop-answer-part-1", "has_questions": false, "keywords": "centripetal, acceleration, force", "ka_url": "http://www.khanacademy.org/video/loop-de-loop-answer-part-1", "duration": 365, "translated_title": "Loop de loop answer part 1", "translated_description_html": "Figuring out the minimum speed at the top of the loop de loop to stay on the track", "id": "400139075", "description_html": "Figuring out the minimum speed at the top of the loop de loop to stay on the track", "title": "Loop de loop answer part 1", "progress_key": "v400139075", "edit_slug": "edit/v/400139075", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out the minimum speed at the top of the loop de loop to stay on the track", "extra_properties": null, "node_slug": "v/loop-de-loop-answer-part-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-24T11:01:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4SQDybFjhRE.mp4/4SQDybFjhRE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4SQDybFjhRE.mp4/4SQDybFjhRE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4SQDybFjhRE.m3u8/4SQDybFjhRE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4SQDybFjhRE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400139075", "sha": "4f21eeba39066022fc31a4abbb4b306634361c80", "translated_description": "Figuring out the minimum speed at the top of the loop de loop to stay on the track", "image_url": "https://img.youtube.com/vi/4SQDybFjhRE/hqdefault.jpg", "youtube_id": "4SQDybFjhRE", "content_kind": "Video", "readable_id": "loop-de-loop-answer-part-1"}, {"translated_youtube_id": "zcnnZz2pCSg", "relative_url": "/video/loop-de-loop-answer-part-2", "has_questions": false, "keywords": "average, velocity", "ka_url": "http://www.khanacademy.org/video/loop-de-loop-answer-part-2", "duration": 288, "translated_title": "Loop de loop answer part 2", "translated_description_html": "Figuring out the car's average speed while completing the loop de loop", "id": "400091837", "description_html": "Figuring out the car's average speed while completing the loop de loop", "title": "Loop de loop answer part 2", "progress_key": "v400091837", "edit_slug": "edit/v/400091837", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the car's average speed while completing the loop de loop", "extra_properties": null, "node_slug": "v/loop-de-loop-answer-part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-11-24T11:01:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zcnnZz2pCSg.mp4/zcnnZz2pCSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zcnnZz2pCSg.mp4/zcnnZz2pCSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zcnnZz2pCSg.m3u8/zcnnZz2pCSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zcnnZz2pCSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400091837", "sha": "8c2e81b464a48af49589c65fecaca33bb4496f63", "translated_description": "Figuring out the car's average speed while completing the loop de loop", "image_url": "https://img.youtube.com/vi/zcnnZz2pCSg/hqdefault.jpg", "youtube_id": "zcnnZz2pCSg", "content_kind": "Video", "readable_id": "loop-de-loop-answer-part-2"}], "twitter_url": "", "translated_description": "Why do things move in circles? Seriously. Why does *anything* ever move in a circle (straight lines seem much more natural). ? Is something moving in a circle at a constant speed accelerating? If so, in what direction? This tutorial will help you get mind around this super-fun topic.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Why do things move in circles? Seriously. Why does *anything* ever move in a circle (straight lines seem much more natural). ? Is something moving in a circle at a constant speed accelerating? If so, in what direction? This tutorial will help you get mind around this super-fun topic.", "x_pos": 0.0, "node_slug": "centripetal-acceleration-tutoria", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axac0cb604", "topic_page_url": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria", "extended_slug": "science/physics/two-dimensional-motion/centripetal-acceleration-tutoria", "slug": "centripetal-acceleration-tutoria", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b6a16b5a556dab27589dec6d7687aedd64193e62", "standalone_title": "Centripetal acceleration", "y_pos": 0.0, "current_revision_key": "b6a16b5a556dab27589dec6d7687aedd64193e62", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "You understand velocity and acceleration well in one-dimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the \"green monster\" at Fenway Park.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You understand velocity and acceleration well in one-dimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the \"green monster\" at Fenway Park.", "x_pos": 0.0, "node_slug": "two-dimensional-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb32c33a3", "topic_page_url": "/science/physics/two-dimensional-motion", "extended_slug": "science/physics/two-dimensional-motion", "slug": "two-dimensional-motion", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1207d26b978d89dd098478e243b0a2205fb8f720", "standalone_title": "Two-dimensional motion", "y_pos": 0.0, "current_revision_key": "1207d26b978d89dd098478e243b0a2205fb8f720", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws", "translated_standalone_title": "Forces and Newton's Laws of Motion", "translated_title": "Forces and Newton's laws of motion", "gplus_url": "", "id": "x85860e19", "old_key_name": "V5CD983RLY343VMfWzEV4XqozMKIzvj2wH6tXEK1", "hide": false, "title": "Forces and Newton's laws of motion", "child_data": [{"kind": "Topic", "id": "x282c4fdd"}, {"kind": "Topic", "id": "x680147df"}, {"kind": "Topic", "id": "xda25e021"}, {"kind": "Topic", "id": "x3d2be866"}, {"kind": "Topic", "id": "x5296131a"}, {"kind": "Topic", "id": "x539e2d76"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/newtons-laws-of-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion", "translated_standalone_title": "Newton's laws of motion", "translated_title": "Newton's laws of motion", "gplus_url": "", "id": "x282c4fdd", "old_key_name": "orBd8LYfPyIalQQ0941iEB5oe8C98Zd0dAhLfm66", "hide": false, "title": "Newton's laws of motion", "child_data": [{"kind": "Video", "id": 904264130}, {"kind": "Video", "id": 904189322}, {"kind": "Video", "id": 116854909}, {"kind": "Exercise", "id": "xc323c32d"}, {"kind": "Video", "id": 116854910}, {"kind": "Video", "id": 116854911}, {"kind": "Exercise", "id": "x34a01c1d"}, {"kind": "Exercise", "id": "x6c2c0ec3"}], "children": [{"translated_youtube_id": "5-ZFOhHQS68", "relative_url": "/video/newton-s-1st-law-of-motion", "has_questions": false, "keywords": "newton, physics, galileo, decartes", "ka_url": "http://www.khanacademy.org/video/newton-s-1st-law-of-motion", "duration": 326, "translated_title": "Newton's first law of motion", "translated_description_html": "Basic primer on Newton's First Law of Motion", "id": "904264130", "description_html": "Basic primer on Newton's First Law of Motion", "title": "Newton's first law of motion", "progress_key": "v904264130", "edit_slug": "edit/v/904264130", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic primer on Newton's First Law of Motion", "extra_properties": null, "node_slug": "v/newton-s-1st-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-16T18:10:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5-ZFOhHQS68.mp4/5-ZFOhHQS68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5-ZFOhHQS68.mp4/5-ZFOhHQS68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5-ZFOhHQS68.m3u8/5-ZFOhHQS68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5-ZFOhHQS68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v904264130", "sha": "23db086074f1e8b024a43113bc378de12cad7acc", "translated_description": "Basic primer on Newton's First Law of Motion", "image_url": "https://img.youtube.com/vi/5-ZFOhHQS68/hqdefault.jpg", "youtube_id": "5-ZFOhHQS68", "content_kind": "Video", "readable_id": "newton-s-1st-law-of-motion"}, {"translated_youtube_id": "D1NubiWCpQg", "relative_url": "/video/newton-s-first-law-of-motion-concepts", "has_questions": "live", "keywords": "physics, newton's, laws", "ka_url": "http://www.khanacademy.org/video/newton-s-first-law-of-motion-concepts", "duration": 434, "translated_title": "Newton's first law of motion concepts", "translated_description_html": "A little quiz on some of the ideas in Newton's first law", "id": "904189322", "description_html": "A little quiz on some of the ideas in Newton's first law", "title": "Newton's first law of motion concepts", "progress_key": "v904189322", "edit_slug": "edit/v/904189322", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little quiz on some of the ideas in Newton's first law", "extra_properties": {"original_url": ""}, "node_slug": "v/newton-s-first-law-of-motion-concepts", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-07-16T18:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.mp4/D1NubiWCpQg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.mp4/D1NubiWCpQg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.m3u8/D1NubiWCpQg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D1NubiWCpQg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v904189322", "sha": "4981d09cebee7bc3b5c535e65a48e6545616b982", "translated_description": "A little quiz on some of the ideas in Newton's first law", "image_url": "https://img.youtube.com/vi/D1NubiWCpQg/hqdefault.jpg", "youtube_id": "D1NubiWCpQg", "content_kind": "Video", "readable_id": "newton-s-first-law-of-motion-concepts"}, {"translated_youtube_id": "CQYELiTtUs8", "relative_url": "/video/newton-s-first-law-of-motion", "has_questions": "labs", "keywords": "motion, rest, physics, kinematics", "ka_url": "http://www.khanacademy.org/video/newton-s-first-law-of-motion", "duration": 572, "translated_title": "Newton's first law of motion", "translated_description_html": "Newton's First Law (Galileo's Law of Inertia).", "id": "116854909", "description_html": "Newton's First Law (Galileo's Law of Inertia).", "title": "Newton's first law of motion", "progress_key": "v116854909", "edit_slug": "edit/v/116854909", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newton's First Law (Galileo's Law of Inertia).", "extra_properties": null, "node_slug": "v/newton-s-first-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.mp4/CQYELiTtUs8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.mp4/CQYELiTtUs8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.m3u8/CQYELiTtUs8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CQYELiTtUs8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854909", "sha": "f324d69aaad663087e0c67c3c04d2800d758a962", "translated_description": "Newton's First Law (Galileo's Law of Inertia).", "image_url": "https://img.youtube.com/vi/CQYELiTtUs8/hqdefault.jpg", "youtube_id": "CQYELiTtUs8", "content_kind": "Video", "readable_id": "newton-s-first-law-of-motion"}, {"translated_youtube_id": "ou9YMWlJgkE", "relative_url": "/video/newton-s-second-law-of-motion", "has_questions": "labs", "keywords": "physics, newton, 2nd, second, law", "ka_url": "http://www.khanacademy.org/video/newton-s-second-law-of-motion", "duration": 434, "translated_title": "Newton's second law of motion", "translated_description_html": "Newton's Second Law of Motion: F=ma", "id": "116854910", "description_html": "Newton's Second Law of Motion: F=ma", "title": "Newton's second law of motion", "progress_key": "v116854910", "edit_slug": "edit/v/116854910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newton's Second Law of Motion: F=ma", "extra_properties": null, "node_slug": "v/newton-s-second-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.m3u8/ou9YMWlJgkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ou9YMWlJgkE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854910", "sha": "fac4d71cc83326089f1ec9a2b044f5a4801c2000", "translated_description": "Newton's Second Law of Motion: F=ma", "image_url": "https://img.youtube.com/vi/ou9YMWlJgkE/hqdefault.jpg", "youtube_id": "ou9YMWlJgkE", "content_kind": "Video", "readable_id": "newton-s-second-law-of-motion"}, {"translated_youtube_id": "By-ggTfeuJU", "relative_url": "/video/newton-s-third-law-of-motion", "has_questions": "labs", "keywords": "force, motion, physics", "ka_url": "http://www.khanacademy.org/video/newton-s-third-law-of-motion", "duration": 480, "translated_title": "Newton's third law of motion", "translated_description_html": "Every action has an equal and opposite reaction", "id": "116854911", "description_html": "Every action has an equal and opposite reaction", "title": "Newton's third law of motion", "progress_key": "v116854911", "edit_slug": "edit/v/116854911", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Every action has an equal and opposite reaction", "extra_properties": null, "node_slug": "v/newton-s-third-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.m3u8/By-ggTfeuJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=By-ggTfeuJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854911", "sha": "682f6ea08c1714be11efa21b77849e96c3a40274", "translated_description": "Every action has an equal and opposite reaction", "image_url": "https://img.youtube.com/vi/By-ggTfeuJU/hqdefault.jpg", "youtube_id": "By-ggTfeuJU", "content_kind": "Video", "readable_id": "newton-s-third-law-of-motion"}], "twitter_url": "", "translated_description": "This tutorial will expose you to the foundation of classical mechanics--Newton's laws. On one level they are intuitive, on another lever they are completely counter-intuitive. Challenge your take on reality and watch this tutorial. The world will look very different after you're done.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial will expose you to the foundation of classical mechanics--Newton's laws. On one level they are intuitive, on another lever they are completely counter-intuitive. Challenge your take on reality and watch this tutorial. The world will look very different after you're done.", "x_pos": 0.0, "node_slug": "newtons-laws-of-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax282c4fdd", "topic_page_url": "/science/physics/forces-newtons-laws/newtons-laws-of-motion", "extended_slug": "science/physics/forces-newtons-laws/newtons-laws-of-motion", "slug": "newtons-laws-of-motion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bbd12a54261f009a2ae5f06ed9da1a7c18b9d1ec", "standalone_title": "Newton's laws of motion", "y_pos": 0.0, "current_revision_key": "bbd12a54261f009a2ae5f06ed9da1a7c18b9d1ec", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/normal-contact-force", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force", "translated_standalone_title": "Normal force", "translated_title": "Normal force and contact force", "gplus_url": "", "id": "x680147df", "old_key_name": "YZAWSEDvorAbr0dao-H9IHyTzpZAqcrvTbloJSRr", "hide": false, "title": "Normal force and contact force", "child_data": [{"kind": "Video", "id": 121089538}, {"kind": "Video", "id": 123032799}], "children": [{"translated_youtube_id": "1WOrgrIcQZU", "relative_url": "/video/normal-force-and-contact-force", "has_questions": false, "keywords": "normal, force, contact, physics", "ka_url": "http://www.khanacademy.org/video/normal-force-and-contact-force", "duration": 438, "translated_title": "Normal force and contact force", "translated_description_html": "The force that keeps a block of ice from falling towards the center of the earth", "id": "121089538", "description_html": "The force that keeps a block of ice from falling towards the center of the earth", "title": "Normal force and contact force", "progress_key": "v121089538", "edit_slug": "edit/v/121089538", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The force that keeps a block of ice from falling towards the center of the earth", "extra_properties": null, "node_slug": "v/normal-force-and-contact-force", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-18T23:27:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.m3u8/1WOrgrIcQZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1WOrgrIcQZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v121089538", "sha": "e3d66adacfcc86243af67a467511258963687533", "translated_description": "The force that keeps a block of ice from falling towards the center of the earth", "image_url": "https://img.youtube.com/vi/1WOrgrIcQZU/hqdefault.jpg", "youtube_id": "1WOrgrIcQZU", "content_kind": "Video", "readable_id": "normal-force-and-contact-force"}, {"translated_youtube_id": "hoRsHNSrMpc", "relative_url": "/video/normal-force-in-an-elevator", "has_questions": false, "keywords": "physics, force, newton's, first, law", "ka_url": "http://www.khanacademy.org/video/normal-force-in-an-elevator", "duration": 709, "translated_title": "Normal force in an elevator", "translated_description_html": "How the normal force changes when an elevator accelerates", "id": "123032799", "description_html": "How the normal force changes when an elevator accelerates", "title": "Normal force in an elevator", "progress_key": "v123032799", "edit_slug": "edit/v/123032799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the normal force changes when an elevator accelerates", "extra_properties": null, "node_slug": "v/normal-force-in-an-elevator", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.mp4/hoRsHNSrMpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.mp4/hoRsHNSrMpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.m3u8/hoRsHNSrMpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hoRsHNSrMpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032799", "sha": "a2998f34e90b543614236eca0e9e14aade719e06", "translated_description": "How the normal force changes when an elevator accelerates", "image_url": "https://img.youtube.com/vi/hoRsHNSrMpc/hqdefault.jpg", "youtube_id": "hoRsHNSrMpc", "content_kind": "Video", "readable_id": "normal-force-in-an-elevator"}], "twitter_url": "", "translated_description": "A dog is balancing on one arm on my head. Is my head applying a force to the dog's hand? If it weren't, wouldn't there be nothing to offset the pull of gravity causing the acrobatic dog to fall? What would we call this force? Can we have a general term from the component of a contact force that acts perpendicular to the plane of contact? These are absolutely normal questions to ask.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A dog is balancing on one arm on my head. Is my head applying a force to the dog's hand? If it weren't, wouldn't there be nothing to offset the pull of gravity causing the acrobatic dog to fall? What would we call this force? Can we have a general term from the component of a contact force that acts perpendicular to the plane of contact? These are absolutely normal questions to ask.", "x_pos": 0.0, "node_slug": "normal-contact-force", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax680147df", "topic_page_url": "/science/physics/forces-newtons-laws/normal-contact-force", "extended_slug": "science/physics/forces-newtons-laws/normal-contact-force", "slug": "normal-contact-force", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5d2ebab3d4dc98972dadffacdf59f5da3601371b", "standalone_title": "Normal force", "y_pos": 0.0, "current_revision_key": "5d2ebab3d4dc98972dadffacdf59f5da3601371b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/balanced-unbalanced-forces", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces", "translated_standalone_title": "Balanced and unbalanced forces", "translated_title": "Balanced and unbalanced forces", "gplus_url": "", "id": "xda25e021", "old_key_name": "coR5qgiDwOCTVgns6HPiCYBgO-fSZCSstjHcuSja", "hide": false, "title": "Balanced and unbalanced forces", "child_data": [{"kind": "Video", "id": 897591106}, {"kind": "Video", "id": 897520017}], "children": [{"translated_youtube_id": "oNgo9bbDi7Q", "relative_url": "/video/balanced-and-unbalanced-forces", "has_questions": "live", "keywords": "balanced, forces, newton's, laws, net, force", "ka_url": "http://www.khanacademy.org/video/balanced-and-unbalanced-forces", "duration": 491, "translated_title": "Balanced and unbalanced forces", "translated_description_html": "Primer on identifying balanced and unbalanced forces", "id": "897591106", "description_html": "Primer on identifying balanced and unbalanced forces", "title": "Balanced and unbalanced forces", "progress_key": "v897591106", "edit_slug": "edit/v/897591106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Primer on identifying balanced and unbalanced forces", "extra_properties": {"original_url": ""}, "node_slug": "v/balanced-and-unbalanced-forces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.mp4/oNgo9bbDi7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.mp4/oNgo9bbDi7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.m3u8/oNgo9bbDi7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oNgo9bbDi7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897591106", "sha": "91abf103387487a3198fae6ba56ed87c79df37d6", "translated_description": "Primer on identifying balanced and unbalanced forces", "image_url": "https://img.youtube.com/vi/oNgo9bbDi7Q/hqdefault.jpg", "youtube_id": "oNgo9bbDi7Q", "content_kind": "Video", "readable_id": "balanced-and-unbalanced-forces"}, {"translated_youtube_id": "IgYUR7aFY-c", "relative_url": "/video/unbalanced-forces-and-motion", "has_questions": "live", "keywords": "newton's, laws, physics, forces, balance", "ka_url": "http://www.khanacademy.org/video/unbalanced-forces-and-motion", "duration": 397, "translated_title": "Unbalanced forces and motion", "translated_description_html": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "id": "897520017", "description_html": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "title": "Unbalanced forces and motion", "progress_key": "v897520017", "edit_slug": "edit/v/897520017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "extra_properties": {"original_url": ""}, "node_slug": "v/unbalanced-forces-and-motion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:39:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.mp4/IgYUR7aFY-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.mp4/IgYUR7aFY-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.m3u8/IgYUR7aFY-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IgYUR7aFY-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897520017", "sha": "edaba1e24a580000e9d93b2f0735973d41e75bff", "translated_description": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "image_url": "https://img.youtube.com/vi/IgYUR7aFY-c/hqdefault.jpg", "youtube_id": "IgYUR7aFY-c", "content_kind": "Video", "readable_id": "unbalanced-forces-and-motion"}], "twitter_url": "", "translated_description": "You will often hear physics professors be careful to say \"net force\" or \"unbalanced force\" rather than just \"force\". Why? This tutorial explains why and might give you more intuition about Newton's laws in the process.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You will often hear physics professors be careful to say \"net force\" or \"unbalanced force\" rather than just \"force\". Why? This tutorial explains why and might give you more intuition about Newton's laws in the process.", "x_pos": 0.0, "node_slug": "balanced-unbalanced-forces", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda25e021", "topic_page_url": "/science/physics/forces-newtons-laws/balanced-unbalanced-forces", "extended_slug": "science/physics/forces-newtons-laws/balanced-unbalanced-forces", "slug": "balanced-unbalanced-forces", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "71248cb2aac00aa8e91a7b688aedeacdf6fdeda2", "standalone_title": "Balanced and unbalanced forces", "y_pos": 0.0, "current_revision_key": "71248cb2aac00aa8e91a7b688aedeacdf6fdeda2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/lubricon-vi", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi", "translated_standalone_title": "Slow sock on Lubricon VI", "translated_title": "Slow sock on Lubricon VI", "gplus_url": "", "id": "x3d2be866", "old_key_name": "scH6x2my9wgc_eml3-yXC00E3o372IchD2S6N36X", "hide": false, "title": "Slow sock on Lubricon VI", "child_data": [{"kind": "Video", "id": 897500670}, {"kind": "Video", "id": 897521821}], "children": [{"translated_youtube_id": "CEdXvoAv_oM", "relative_url": "/video/slow-sock-on-lubricon-vi", "has_questions": "live", "keywords": "newton's, first, law", "ka_url": "http://www.khanacademy.org/video/slow-sock-on-lubricon-vi", "duration": 287, "translated_title": "Slow sock on Lubricon VI", "translated_description_html": "What would happen to a slowly moving frozen sock on a frictionless planet", "id": "897500670", "description_html": "What would happen to a slowly moving frozen sock on a frictionless planet", "title": "Slow sock on Lubricon VI", "progress_key": "v897500670", "edit_slug": "edit/v/897500670", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "What would happen to a slowly moving frozen sock on a frictionless planet", "extra_properties": {"original_url": ""}, "node_slug": "v/slow-sock-on-lubricon-vi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:41:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.m3u8/CEdXvoAv_oM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CEdXvoAv_oM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897500670", "sha": "6b0673aa01a5b4efb3dbc18ef515c0cc9cc479ad", "translated_description": "What would happen to a slowly moving frozen sock on a frictionless planet", "image_url": "https://img.youtube.com/vi/CEdXvoAv_oM/hqdefault.jpg", "youtube_id": "CEdXvoAv_oM", "content_kind": "Video", "readable_id": "slow-sock-on-lubricon-vi"}, {"translated_youtube_id": "hJ18CrKU3Zc", "relative_url": "/video/normal-forces-on-lubricon-vi", "has_questions": "live", "keywords": "normal, force, centripetal", "ka_url": "http://www.khanacademy.org/video/normal-forces-on-lubricon-vi", "duration": 432, "translated_title": "Normal forces on Lubricon VI", "translated_description_html": "Whether the normal force balances the force of gravity for a frozen sock or banana", "id": "897521821", "description_html": "Whether the normal force balances the force of gravity for a frozen sock or banana", "title": "Normal forces on Lubricon VI", "progress_key": "v897521821", "edit_slug": "edit/v/897521821", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Whether the normal force balances the force of gravity for a frozen sock or banana", "extra_properties": {"original_url": ""}, "node_slug": "v/normal-forces-on-lubricon-vi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:44:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.m3u8/hJ18CrKU3Zc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJ18CrKU3Zc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897521821", "sha": "3c4bb7e076589c64d694224c25ca7ba5233ac1df", "translated_description": "Whether the normal force balances the force of gravity for a frozen sock or banana", "image_url": "https://img.youtube.com/vi/hJ18CrKU3Zc/hqdefault.jpg", "youtube_id": "hJ18CrKU3Zc", "content_kind": "Video", "readable_id": "normal-forces-on-lubricon-vi"}], "twitter_url": "", "translated_description": "This short tutorial will have you dealing with orbiting frozen socks in order to understand whether you understand Newton's Laws. We also quiz you a bit during the videos just to make sure that you aren't daydreaming about what you would do with a frozen sock.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This short tutorial will have you dealing with orbiting frozen socks in order to understand whether you understand Newton's Laws. We also quiz you a bit during the videos just to make sure that you aren't daydreaming about what you would do with a frozen sock.", "x_pos": 0.0, "node_slug": "lubricon-vi", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3d2be866", "topic_page_url": "/science/physics/forces-newtons-laws/lubricon-vi", "extended_slug": "science/physics/forces-newtons-laws/lubricon-vi", "slug": "lubricon-vi", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1195938ddbf57807feffcafee206dde6f8613075", "standalone_title": "Slow sock on Lubricon VI", "y_pos": 0.0, "current_revision_key": "1195938ddbf57807feffcafee206dde6f8613075", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/inclined-planes-friction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction", "translated_standalone_title": "Inclined planes and friction", "translated_title": "Inclined planes and friction", "gplus_url": "", "id": "x5296131a", "old_key_name": "h0zCjcuzYxrIWLJHg3QmplgrjhU5_nPq-XxABH-e", "hide": false, "title": "Inclined planes and friction", "child_data": [{"kind": "Video", "id": 123032796}, {"kind": "Video", "id": 123032792}, {"kind": "Video", "id": 123032795}, {"kind": "Video", "id": 123032797}, {"kind": "Video", "id": 123032794}, {"kind": "Video", "id": 123032798}, {"kind": "Video", "id": 123032793}], "children": [{"translated_youtube_id": "TC23wD34C7k", "relative_url": "/video/inclined-plane-force-components", "has_questions": false, "keywords": "ramp, wedge, trigonometry, geometry, physics, newton, normal, vector", "ka_url": "http://www.khanacademy.org/video/inclined-plane-force-components", "duration": 762, "translated_title": "Inclined plane force components", "translated_description_html": "Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane", "id": "123032796", "description_html": "Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane", "title": "Inclined plane force components", "progress_key": "v123032796", "edit_slug": "edit/v/123032796", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane", "extra_properties": null, "node_slug": "v/inclined-plane-force-components", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TC23wD34C7k.mp4/TC23wD34C7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TC23wD34C7k.mp4/TC23wD34C7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TC23wD34C7k.m3u8/TC23wD34C7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TC23wD34C7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032796", "sha": "fd7edc8282247c14faee7b2269e9c20a9eb9c949", "translated_description": "Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane", "image_url": "https://img.youtube.com/vi/TC23wD34C7k/hqdefault.jpg", "youtube_id": "TC23wD34C7k", "content_kind": "Video", "readable_id": "inclined-plane-force-components"}, {"translated_youtube_id": "Mz2nDXElcoM", "relative_url": "/video/ice-accelerating-down-an-incline", "has_questions": false, "keywords": "inclined, plane, ramp, force, friction", "ka_url": "http://www.khanacademy.org/video/ice-accelerating-down-an-incline", "duration": 637, "translated_title": "Ice accelerating down an incline", "translated_description_html": "Figuring out the acceleration of ice down a plane made of ice", "id": "123032792", "description_html": "Figuring out the acceleration of ice down a plane made of ice", "title": "Ice accelerating down an incline", "progress_key": "v123032792", "edit_slug": "edit/v/123032792", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the acceleration of ice down a plane made of ice", "extra_properties": null, "node_slug": "v/ice-accelerating-down-an-incline", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mz2nDXElcoM.mp4/Mz2nDXElcoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mz2nDXElcoM.mp4/Mz2nDXElcoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mz2nDXElcoM.m3u8/Mz2nDXElcoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mz2nDXElcoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032792", "sha": "bc7f043defb63214ca51cdadd43cf99c3caabc33", "translated_description": "Figuring out the acceleration of ice down a plane made of ice", "image_url": "https://img.youtube.com/vi/Mz2nDXElcoM/hqdefault.jpg", "youtube_id": "Mz2nDXElcoM", "content_kind": "Video", "readable_id": "ice-accelerating-down-an-incline"}, {"translated_youtube_id": "v8ODIMqbQ44", "relative_url": "/video/force-of-friction-keeping-the-block-stationary", "has_questions": false, "keywords": "physics, friction, static, coefficient, mechanics, statics", "ka_url": "http://www.khanacademy.org/video/force-of-friction-keeping-the-block-stationary", "duration": 521, "translated_title": "Force of friction keeping the block stationary", "translated_description_html": "Block of wood kept stationary by the force of friction (Correction made in next video)", "id": "123032795", "description_html": "Block of wood kept stationary by the force of friction (Correction made in next video)", "title": "Force of friction keeping the block stationary", "progress_key": "v123032795", "edit_slug": "edit/v/123032795", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Block of wood kept stationary by the force of friction (Correction made in next video)", "extra_properties": null, "node_slug": "v/force-of-friction-keeping-the-block-stationary", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v8ODIMqbQ44.mp4/v8ODIMqbQ44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v8ODIMqbQ44.mp4/v8ODIMqbQ44.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v8ODIMqbQ44.m3u8/v8ODIMqbQ44.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v8ODIMqbQ44&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032795", "sha": "4d6a0d4a1360933072064801a363ea5542f4da93", "translated_description": "Block of wood kept stationary by the force of friction (Correction made in next video)", "image_url": "https://img.youtube.com/vi/v8ODIMqbQ44/hqdefault.jpg", "youtube_id": "v8ODIMqbQ44", "content_kind": "Video", "readable_id": "force-of-friction-keeping-the-block-stationary"}, {"translated_youtube_id": "BukTc4q9BMc", "relative_url": "/video/correction-to-force-of-friction-keeping-the-block-stationary", "has_questions": false, "keywords": "Correction, to, Force, of, Friction, Keeping, the, Block, Stationary", "ka_url": "http://www.khanacademy.org/video/correction-to-force-of-friction-keeping-the-block-stationary", "duration": 51, "translated_title": "Correction to force of friction keeping the block stationary", "translated_description_html": "Correction to Force of Friction Keeping the Block Stationary", "id": "123032797", "description_html": "Correction to Force of Friction Keeping the Block Stationary", "title": "Correction to force of friction keeping the block stationary", "progress_key": "v123032797", "edit_slug": "edit/v/123032797", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction to Force of Friction Keeping the Block Stationary", "extra_properties": null, "node_slug": "v/correction-to-force-of-friction-keeping-the-block-stationary", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BukTc4q9BMc.mp4/BukTc4q9BMc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BukTc4q9BMc.mp4/BukTc4q9BMc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BukTc4q9BMc.m3u8/BukTc4q9BMc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BukTc4q9BMc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032797", "sha": "eedfdd2538d89715d07c187a57343e5ad1b3e477", "translated_description": "Correction to Force of Friction Keeping the Block Stationary", "image_url": "https://img.youtube.com/vi/BukTc4q9BMc/hqdefault.jpg", "youtube_id": "BukTc4q9BMc", "content_kind": "Video", "readable_id": "correction-to-force-of-friction-keeping-the-block-stationary"}, {"translated_youtube_id": "iA7Thhnzc64", "relative_url": "/video/force-of-friction-keeping-velocity-constant", "has_questions": false, "keywords": "friction, coefficient, static, mechanics, physics", "ka_url": "http://www.khanacademy.org/video/force-of-friction-keeping-velocity-constant", "duration": 549, "translated_title": "Force of friction keeping velocity constant", "translated_description_html": "Calculating the coefficient of kinetic friction (correction made in next video)", "id": "123032794", "description_html": "Calculating the coefficient of kinetic friction (correction made in next video)", "title": "Force of friction keeping velocity constant", "progress_key": "v123032794", "edit_slug": "edit/v/123032794", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the coefficient of kinetic friction (correction made in next video)", "extra_properties": null, "node_slug": "v/force-of-friction-keeping-velocity-constant", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iA7Thhnzc64.mp4/iA7Thhnzc64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iA7Thhnzc64.mp4/iA7Thhnzc64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iA7Thhnzc64.m3u8/iA7Thhnzc64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iA7Thhnzc64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032794", "sha": "8032a1647f4755de9424da9a10b7788872cc109d", "translated_description": "Calculating the coefficient of kinetic friction (correction made in next video)", "image_url": "https://img.youtube.com/vi/iA7Thhnzc64/hqdefault.jpg", "youtube_id": "iA7Thhnzc64", "content_kind": "Video", "readable_id": "force-of-friction-keeping-velocity-constant"}, {"translated_youtube_id": "J9BWNiOSGlc", "relative_url": "/video/intuition-on-static-and-kinetic-friction-comparisons", "has_questions": false, "keywords": "coefficient, static, kinetic, mechanics, force, newton", "ka_url": "http://www.khanacademy.org/video/intuition-on-static-and-kinetic-friction-comparisons", "duration": 441, "translated_title": "Intuition on static and kinetic friction comparisons", "translated_description_html": "Why static friction is harder to overcome than kinetic friction", "id": "123032798", "description_html": "Why static friction is harder to overcome than kinetic friction", "title": "Intuition on static and kinetic friction comparisons", "progress_key": "v123032798", "edit_slug": "edit/v/123032798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why static friction is harder to overcome than kinetic friction", "extra_properties": null, "node_slug": "v/intuition-on-static-and-kinetic-friction-comparisons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.mp4/J9BWNiOSGlc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.mp4/J9BWNiOSGlc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.m3u8/J9BWNiOSGlc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J9BWNiOSGlc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032798", "sha": "c90c1af387b77126a5531d0ab3be2f0e7d0d9fc6", "translated_description": "Why static friction is harder to overcome than kinetic friction", "image_url": "https://img.youtube.com/vi/J9BWNiOSGlc/hqdefault.jpg", "youtube_id": "J9BWNiOSGlc", "content_kind": "Video", "readable_id": "intuition-on-static-and-kinetic-friction-comparisons"}, {"translated_youtube_id": "ZA_D4O6l1lo", "relative_url": "/video/static-and-kinetic-friction-example", "has_questions": false, "keywords": "accleration, force, newton, friction", "ka_url": "http://www.khanacademy.org/video/static-and-kinetic-friction-example", "duration": 590, "translated_title": "Static and kinetic friction example", "translated_description_html": "Thinking about the coefficients of static and kinetic friction", "id": "123032793", "description_html": "Thinking about the coefficients of static and kinetic friction", "title": "Static and kinetic friction example", "progress_key": "v123032793", "edit_slug": "edit/v/123032793", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about the coefficients of static and kinetic friction", "extra_properties": null, "node_slug": "v/static-and-kinetic-friction-example", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZA_D4O6l1lo.mp4/ZA_D4O6l1lo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZA_D4O6l1lo.mp4/ZA_D4O6l1lo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZA_D4O6l1lo.m3u8/ZA_D4O6l1lo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZA_D4O6l1lo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032793", "sha": "f8d72c5f9b279aff9ec5e54880d8ef8d1d3e7ca2", "translated_description": "Thinking about the coefficients of static and kinetic friction", "image_url": "https://img.youtube.com/vi/ZA_D4O6l1lo/hqdefault.jpg", "youtube_id": "ZA_D4O6l1lo", "content_kind": "Video", "readable_id": "static-and-kinetic-friction-example"}], "twitter_url": "", "translated_description": "We've all slid down slides/snow-or-mud-covered-hills/railings at some point in our life (if not, you haven't really lived) and noticed that the smoother the surface the more we would accelerate (try to slide down a non-snow-or-mud-covered hill). This tutorial looks into this in some depth. We'll look at masses on inclined planes and think about static and kinetic friction.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We've all slid down slides/snow-or-mud-covered-hills/railings at some point in our life (if not, you haven't really lived) and noticed that the smoother the surface the more we would accelerate (try to slide down a non-snow-or-mud-covered hill). This tutorial looks into this in some depth. We'll look at masses on inclined planes and think about static and kinetic friction.", "x_pos": 0.0, "node_slug": "inclined-planes-friction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5296131a", "topic_page_url": "/science/physics/forces-newtons-laws/inclined-planes-friction", "extended_slug": "science/physics/forces-newtons-laws/inclined-planes-friction", "slug": "inclined-planes-friction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3a67f50a37951ffd6f17590ad311d50bd0bc9d46", "standalone_title": "Inclined planes and friction", "y_pos": 0.0, "current_revision_key": "3a67f50a37951ffd6f17590ad311d50bd0bc9d46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/forces-newtons-laws/tension-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial", "translated_standalone_title": "Tension", "translated_title": "Tension", "gplus_url": "", "id": "x539e2d76", "old_key_name": "elxUlil1lKvmmUWEyf7DcDbaOKqxSm-ywMuUYQSj", "hide": false, "title": "Tension", "child_data": [{"kind": "Video", "id": 25561}, {"kind": "Video", "id": 25563}, {"kind": "Video", "id": 25573}], "children": [{"translated_youtube_id": "_UrfHFEBIpU", "relative_url": "/video/introduction-to-tension", "has_questions": false, "keywords": "tension, force, vectors, physics, mass, newton, trigonometry", "ka_url": "http://www.khanacademy.org/video/introduction-to-tension", "duration": 619, "translated_title": "Introduction to tension", "translated_description_html": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "id": "25561", "description_html": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "title": "Introduction to tension", "progress_key": "v25561", "edit_slug": "edit/v/25561", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "extra_properties": null, "node_slug": "v/introduction-to-tension", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:49:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.mp4/_UrfHFEBIpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.mp4/_UrfHFEBIpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.m3u8/_UrfHFEBIpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_UrfHFEBIpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25561", "sha": "bf8af355161d73926165908911b8946d02feedf2", "translated_description": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "image_url": "https://img.youtube.com/vi/_UrfHFEBIpU/hqdefault.jpg", "youtube_id": "_UrfHFEBIpU", "content_kind": "Video", "readable_id": "introduction-to-tension"}, {"translated_youtube_id": "zwDJ1wVr7Is", "relative_url": "/video/tension--part-2", "has_questions": false, "keywords": "force, tension, vectors, physics, algebra, math, mass", "ka_url": "http://www.khanacademy.org/video/tension--part-2", "duration": 619, "translated_title": "Introduction to tension (part 2)", "translated_description_html": "A slightly more difficult tension problem.", "id": "25563", "description_html": "A slightly more difficult tension problem.", "title": "Introduction to tension (part 2)", "progress_key": "v25563", "edit_slug": "edit/v/25563", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A slightly more difficult tension problem.", "extra_properties": null, "node_slug": "v/tension--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:49:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.mp4/zwDJ1wVr7Is.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.mp4/zwDJ1wVr7Is.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.m3u8/zwDJ1wVr7Is.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zwDJ1wVr7Is&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25563", "sha": "ecab9cc6c15525c24cfb63bc7b75b5fbd84a39e4", "translated_description": "A slightly more difficult tension problem.", "image_url": "https://img.youtube.com/vi/zwDJ1wVr7Is/hqdefault.jpg", "youtube_id": "zwDJ1wVr7Is", "content_kind": "Video", "readable_id": "tension--part-2"}, {"translated_youtube_id": "52wxpYnS64U", "relative_url": "/video/tension-in-an-accelerating-system-and-pie-in-the-face", "has_questions": false, "keywords": "tension, pie, friction, mass, acceleration, physics", "ka_url": "http://www.khanacademy.org/video/tension-in-an-accelerating-system-and-pie-in-the-face", "duration": 568, "translated_title": "Tension in an accelerating system and pie in the face", "translated_description_html": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "id": "25573", "description_html": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "title": "Tension in an accelerating system and pie in the face", "progress_key": "v25573", "edit_slug": "edit/v/25573", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "extra_properties": null, "node_slug": "v/tension-in-an-accelerating-system-and-pie-in-the-face", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.m3u8/52wxpYnS64U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=52wxpYnS64U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25573", "sha": "6eb85b8d6b0a5b3ad076814b6c0afc1cd4a5f709", "translated_description": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "image_url": "https://img.youtube.com/vi/52wxpYnS64U/hqdefault.jpg", "youtube_id": "52wxpYnS64U", "content_kind": "Video", "readable_id": "tension-in-an-accelerating-system-and-pie-in-the-face"}], "twitter_url": "", "translated_description": "Bad commute? Baby crying? Bills to pay? Looking to take a bath with some Calgon (do a search on YouTube for context) to ease your tension? This tutorial has nothing (actually little, not nothing) to do with that.\n\nSo far, most of the forces we've been dealing with are forces of \"pushing\"--contact forces at the macro level because of atoms not wanting to get to close at the micro level. Now we'll deal with \"pulling\" force or tension (at a micro level this is the force of attraction between bonded atoms).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Bad commute? Baby crying? Bills to pay? Looking to take a bath with some Calgon (do a search on YouTube for context) to ease your tension? This tutorial has nothing (actually little, not nothing) to do with that.\n\nSo far, most of the forces we've been dealing with are forces of \"pushing\"--contact forces at the macro level because of atoms not wanting to get to close at the micro level. Now we'll deal with \"pulling\" force or tension (at a micro level this is the force of attraction between bonded atoms).", "x_pos": 0.0, "node_slug": "tension-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax539e2d76", "topic_page_url": "/science/physics/forces-newtons-laws/tension-tutorial", "extended_slug": "science/physics/forces-newtons-laws/tension-tutorial", "slug": "tension-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e23b8f97cacc77c9179b11fb432313897bdf6291", "standalone_title": "Tension", "y_pos": 0.0, "current_revision_key": "e23b8f97cacc77c9179b11fb432313897bdf6291", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This tutorial is the meat of much of classical physics. We think about what a force is and how Newton changed the world's (and possibly your) view of how reality works.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial is the meat of much of classical physics. We think about what a force is and how Newton changed the world's (and possibly your) view of how reality works.", "x_pos": 0.0, "node_slug": "forces-newtons-laws", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax85860e19", "topic_page_url": "/science/physics/forces-newtons-laws", "extended_slug": "science/physics/forces-newtons-laws", "slug": "forces-newtons-laws", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7e5f7800403fbce887dd9720be56d8ded9c68791", "standalone_title": "Forces and Newton's Laws of Motion", "y_pos": 0.0, "current_revision_key": "7e5f7800403fbce887dd9720be56d8ded9c68791", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/work-and-energy", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/work-and-energy", "translated_standalone_title": "Work and energy", "translated_title": "Work and energy", "gplus_url": "", "id": "xbb0e99c9", "old_key_name": "6pI8sJzL4lMUI5Hy0g7Dgfw6A_PRYucrV3IEzSCi", "hide": false, "title": "Work and energy", "child_data": [{"kind": "Topic", "id": "x5db497e8"}, {"kind": "Topic", "id": "x839d14d0"}, {"kind": "Topic", "id": "x13b3934d"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/work-and-energy/work-and-energy-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial", "translated_standalone_title": "Work and energy", "translated_title": "Work and energy", "gplus_url": "", "id": "x5db497e8", "old_key_name": "bfJ09064qfz8suUxzxC4vkq8FxBDbOlmVxocd1yR", "hide": false, "title": "Work and energy", "child_data": [{"kind": "Video", "id": 25587}, {"kind": "Video", "id": 25589}, {"kind": "Video", "id": 25591}, {"kind": "Video", "id": 25593}], "children": [{"translated_youtube_id": "2WS1sG9fhOk", "relative_url": "/video/introduction-to-work-and-energy", "has_questions": false, "keywords": "physics, work, energy, joule, force, distance, physical, science", "ka_url": "http://www.khanacademy.org/video/introduction-to-work-and-energy", "duration": 558, "translated_title": "Introduction to work and energy", "translated_description_html": "Introduction to work and energy", "id": "25587", "description_html": "Introduction to work and energy", "title": "Introduction to work and energy", "progress_key": "v25587", "edit_slug": "edit/v/25587", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to work and energy", "extra_properties": null, "node_slug": "v/introduction-to-work-and-energy", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2WS1sG9fhOk.mp4/2WS1sG9fhOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2WS1sG9fhOk.mp4/2WS1sG9fhOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2WS1sG9fhOk.m3u8/2WS1sG9fhOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2WS1sG9fhOk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25587", "sha": "3d76bf1f5b0b40a680101f43272f567febf905a2", "translated_description": "Introduction to work and energy", "image_url": "https://img.youtube.com/vi/2WS1sG9fhOk/hqdefault.jpg", "youtube_id": "2WS1sG9fhOk", "content_kind": "Video", "readable_id": "introduction-to-work-and-energy"}, {"translated_youtube_id": "3mier94pbnU", "relative_url": "/video/work-and-energy--part-2", "has_questions": false, "keywords": "physics, potential, kinetic, energy, work", "ka_url": "http://www.khanacademy.org/video/work-and-energy--part-2", "duration": 591, "translated_title": "Work and energy (part 2)", "translated_description_html": "More on work. Introduction to Kinetic and Potential Energies.", "id": "25589", "description_html": "More on work. Introduction to Kinetic and Potential Energies.", "title": "Work and energy (part 2)", "progress_key": "v25589", "edit_slug": "edit/v/25589", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on work. Introduction to Kinetic and Potential Energies.", "extra_properties": null, "node_slug": "v/work-and-energy--part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mier94pbnU.mp4/3mier94pbnU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mier94pbnU.mp4/3mier94pbnU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3mier94pbnU.m3u8/3mier94pbnU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3mier94pbnU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25589", "sha": "fd62fc57de7f6d95fef88cac799a7dd886606a92", "translated_description": "More on work. Introduction to Kinetic and Potential Energies.", "image_url": "https://img.youtube.com/vi/3mier94pbnU/hqdefault.jpg", "youtube_id": "3mier94pbnU", "content_kind": "Video", "readable_id": "work-and-energy--part-2"}, {"translated_youtube_id": "kw_4Loo1HR4", "relative_url": "/video/conservation-of-energy", "has_questions": false, "keywords": "conservation, of, energy, kinetic, potential, physics, velocity", "ka_url": "http://www.khanacademy.org/video/conservation-of-energy", "duration": 606, "translated_title": "Conservation of energy", "translated_description_html": "Using the law of conservation of energy to see how potential energy is converted into kinetic energy", "id": "25591", "description_html": "Using the law of conservation of energy to see how potential energy is converted into kinetic energy", "title": "Conservation of energy", "progress_key": "v25591", "edit_slug": "edit/v/25591", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using the law of conservation of energy to see how potential energy is converted into kinetic energy", "extra_properties": null, "node_slug": "v/conservation-of-energy", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.mp4/kw_4Loo1HR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.mp4/kw_4Loo1HR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.m3u8/kw_4Loo1HR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kw_4Loo1HR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25591", "sha": "05f6c83784b9732160e7a00deeeec0567819baa8", "translated_description": "Using the law of conservation of energy to see how potential energy is converted into kinetic energy", "image_url": "https://img.youtube.com/vi/kw_4Loo1HR4/hqdefault.jpg", "youtube_id": "kw_4Loo1HR4", "content_kind": "Video", "readable_id": "conservation-of-energy"}, {"translated_youtube_id": "YvacYWgygaA", "relative_url": "/video/work-energy-problem-with-friction", "has_questions": false, "keywords": "physics, frictions, nonconservative, force, energy, work, kinetic, potential", "ka_url": "http://www.khanacademy.org/video/work-energy-problem-with-friction", "duration": 605, "translated_title": "Work/energy problem with friction", "translated_description_html": "A conservation of energy problem where all of the energy is not conserved.", "id": "25593", "description_html": "A conservation of energy problem where all of the energy is not conserved.", "title": "Work/energy problem with friction", "progress_key": "v25593", "edit_slug": "edit/v/25593", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A conservation of energy problem where all of the energy is not conserved.", "extra_properties": null, "node_slug": "v/work-energy-problem-with-friction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YvacYWgygaA.mp4/YvacYWgygaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YvacYWgygaA.mp4/YvacYWgygaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YvacYWgygaA.m3u8/YvacYWgygaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YvacYWgygaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25593", "sha": "269b482a4b3290ba92190a66b29b19158ca6a0ed", "translated_description": "A conservation of energy problem where all of the energy is not conserved.", "image_url": "https://img.youtube.com/vi/YvacYWgygaA/hqdefault.jpg", "youtube_id": "YvacYWgygaA", "content_kind": "Video", "readable_id": "work-energy-problem-with-friction"}], "twitter_url": "", "translated_description": "You're doing a lot more work than you realize (most of which goes unpaid). This tutorial will have you seeing the world in terms of potentials and energy and work (which is more fun than you can possibly imagine).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're doing a lot more work than you realize (most of which goes unpaid). This tutorial will have you seeing the world in terms of potentials and energy and work (which is more fun than you can possibly imagine).", "x_pos": 0.0, "node_slug": "work-and-energy-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5db497e8", "topic_page_url": "/science/physics/work-and-energy/work-and-energy-tutorial", "extended_slug": "science/physics/work-and-energy/work-and-energy-tutorial", "slug": "work-and-energy-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1efc8f64b9654c0ff6c818935a6b5046078471d7", "standalone_title": "Work and energy", "y_pos": 0.0, "current_revision_key": "1efc8f64b9654c0ff6c818935a6b5046078471d7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/work-and-energy/mechanical-advantage", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage", "translated_standalone_title": "Mechanical advantage", "translated_title": "Mechanical advantage", "gplus_url": "", "id": "x839d14d0", "old_key_name": "Fyf_roEH_KZwmHof_U2A1vg0EDCViFqWGSewFkpE", "hide": false, "title": "Mechanical advantage", "child_data": [{"kind": "Video", "id": 25595}, {"kind": "Video", "id": 25597}, {"kind": "Video", "id": 25599}], "children": [{"translated_youtube_id": "pfzJ-z5Ij48", "relative_url": "/video/introduction-to-mechanical-advantage", "has_questions": false, "keywords": "moment, machine, mechanical, advantage, physics", "ka_url": "http://www.khanacademy.org/video/introduction-to-mechanical-advantage", "duration": 602, "translated_title": "Introduction to mechanical advantage", "translated_description_html": "Introduction to simple machines, mechanical advantage and moments.", "id": "25595", "description_html": "Introduction to simple machines, mechanical advantage and moments.", "title": "Introduction to mechanical advantage", "progress_key": "v25595", "edit_slug": "edit/v/25595", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to simple machines, mechanical advantage and moments.", "extra_properties": null, "node_slug": "v/introduction-to-mechanical-advantage", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pfzJ-z5Ij48.mp4/pfzJ-z5Ij48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pfzJ-z5Ij48.mp4/pfzJ-z5Ij48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pfzJ-z5Ij48.m3u8/pfzJ-z5Ij48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pfzJ-z5Ij48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25595", "sha": "c0852875c0723bff0275823322f1894107acbdf1", "translated_description": "Introduction to simple machines, mechanical advantage and moments.", "image_url": "https://img.youtube.com/vi/pfzJ-z5Ij48/hqdefault.jpg", "youtube_id": "pfzJ-z5Ij48", "content_kind": "Video", "readable_id": "introduction-to-mechanical-advantage"}, {"translated_youtube_id": "DiBXxWBrV24", "relative_url": "/video/mechanical-advantage--part-2", "has_questions": false, "keywords": "mechanical, advantage, moment, level, physics, work", "ka_url": "http://www.khanacademy.org/video/mechanical-advantage--part-2", "duration": 410, "translated_title": "Mechanical advantage (part 2)", "translated_description_html": "More on mechanical advantage, levers and moments.", "id": "25597", "description_html": "More on mechanical advantage, levers and moments.", "title": "Mechanical advantage (part 2)", "progress_key": "v25597", "edit_slug": "edit/v/25597", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More on mechanical advantage, levers and moments.", "extra_properties": null, "node_slug": "v/mechanical-advantage--part-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DiBXxWBrV24.mp4/DiBXxWBrV24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DiBXxWBrV24.mp4/DiBXxWBrV24.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DiBXxWBrV24.m3u8/DiBXxWBrV24.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DiBXxWBrV24&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25597", "sha": "e46b61194850385c26e6ea8cd907ef4bacf52e61", "translated_description": "More on mechanical advantage, levers and moments.", "image_url": "https://img.youtube.com/vi/DiBXxWBrV24/hqdefault.jpg", "youtube_id": "DiBXxWBrV24", "content_kind": "Video", "readable_id": "mechanical-advantage--part-2"}, {"translated_youtube_id": "vSsK7Rfa3yA", "relative_url": "/video/mechanical-advantage--part-3", "has_questions": false, "keywords": "physics, wedge, pulley, mechanical, advantage, work, energy", "ka_url": "http://www.khanacademy.org/video/mechanical-advantage--part-3", "duration": 634, "translated_title": "Mechanical advantage (part 3)", "translated_description_html": "Introduction to pulleys and wedges", "id": "25599", "description_html": "Introduction to pulleys and wedges", "title": "Mechanical advantage (part 3)", "progress_key": "v25599", "edit_slug": "edit/v/25599", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to pulleys and wedges", "extra_properties": null, "node_slug": "v/mechanical-advantage--part-3", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:49:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vSsK7Rfa3yA.mp4/vSsK7Rfa3yA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vSsK7Rfa3yA.mp4/vSsK7Rfa3yA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vSsK7Rfa3yA.m3u8/vSsK7Rfa3yA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vSsK7Rfa3yA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25599", "sha": "941c6532ee4a74ad3c7f955326f0d7ac8f02f703", "translated_description": "Introduction to pulleys and wedges", "image_url": "https://img.youtube.com/vi/vSsK7Rfa3yA/hqdefault.jpg", "youtube_id": "vSsK7Rfa3yA", "content_kind": "Video", "readable_id": "mechanical-advantage--part-3"}], "twitter_url": "", "translated_description": "If you have ever used a tool of any kind (including the bones in your body), you have employed mechanical advantage. Whether you used an incline plane to drag something off of a pick-up truck, or the back of a hammer to remove a nail, the world of mechanical advantage surrounds us.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you have ever used a tool of any kind (including the bones in your body), you have employed mechanical advantage. Whether you used an incline plane to drag something off of a pick-up truck, or the back of a hammer to remove a nail, the world of mechanical advantage surrounds us.", "x_pos": 0.0, "node_slug": "mechanical-advantage", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax839d14d0", "topic_page_url": "/science/physics/work-and-energy/mechanical-advantage", "extended_slug": "science/physics/work-and-energy/mechanical-advantage", "slug": "mechanical-advantage", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d40f151d870d8a184760bbf74624a34b632315e4", "standalone_title": "Mechanical advantage", "y_pos": 0.0, "current_revision_key": "d40f151d870d8a184760bbf74624a34b632315e4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/work-and-energy/hookes-law", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/work-and-energy/hookes-law", "translated_standalone_title": "Springs and Hooke's Law", "translated_title": "Springs and Hooke's law", "gplus_url": "", "id": "x13b3934d", "old_key_name": "sxyUF7yvpGiLYR5ONUuwTthN3bmvmuwf6TL2orq9", "hide": false, "title": "Springs and Hooke's law", "child_data": [{"kind": "Video", "id": 25637}, {"kind": "Video", "id": 25639}, {"kind": "Video", "id": 25641}], "children": [{"translated_youtube_id": "ZzwuHS9ldbY", "relative_url": "/video/intro-to-springs-and-hooke-s-law", "has_questions": false, "keywords": "physics, springs, hooke's, law, force", "ka_url": "http://www.khanacademy.org/video/intro-to-springs-and-hooke-s-law", "duration": 605, "translated_title": "Intro to springs and Hooke's law", "translated_description_html": "Introduction to Hooke's Law", "id": "25637", "description_html": "Introduction to Hooke's Law", "title": "Intro to springs and Hooke's law", "progress_key": "v25637", "edit_slug": "edit/v/25637", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Hooke's Law", "extra_properties": null, "node_slug": "v/intro-to-springs-and-hooke-s-law", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZzwuHS9ldbY.mp4/ZzwuHS9ldbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZzwuHS9ldbY.mp4/ZzwuHS9ldbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZzwuHS9ldbY.m3u8/ZzwuHS9ldbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZzwuHS9ldbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25637", "sha": "fd1ba78d775c558f6d9c97b4618075488a749c9c", "translated_description": "Introduction to Hooke's Law", "image_url": "https://img.youtube.com/vi/ZzwuHS9ldbY/hqdefault.jpg", "youtube_id": "ZzwuHS9ldbY", "content_kind": "Video", "readable_id": "intro-to-springs-and-hooke-s-law"}, {"translated_youtube_id": "eVl5zs6Lqy0", "relative_url": "/video/potential-energy-stored-in-a-spring", "has_questions": false, "keywords": "spring, hooke's, potential, energy, work, physics", "ka_url": "http://www.khanacademy.org/video/potential-energy-stored-in-a-spring", "duration": 600, "translated_title": "Potential energy stored in a spring", "translated_description_html": "Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.", "id": "25639", "description_html": "Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.", "title": "Potential energy stored in a spring", "progress_key": "v25639", "edit_slug": "edit/v/25639", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.", "extra_properties": null, "node_slug": "v/potential-energy-stored-in-a-spring", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eVl5zs6Lqy0.mp4/eVl5zs6Lqy0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eVl5zs6Lqy0.mp4/eVl5zs6Lqy0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eVl5zs6Lqy0.m3u8/eVl5zs6Lqy0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eVl5zs6Lqy0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25639", "sha": "457d93f1ce86eb3cc61780edfd2dc860bc9c89b5", "translated_description": "Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.", "image_url": "https://img.youtube.com/vi/eVl5zs6Lqy0/hqdefault.jpg", "youtube_id": "eVl5zs6Lqy0", "content_kind": "Video", "readable_id": "potential-energy-stored-in-a-spring"}, {"translated_youtube_id": "P3QV9ktuYlQ", "relative_url": "/video/spring-potential-energy-example--mistake-in-math", "has_questions": false, "keywords": "potential, energy, spring, kinetic, hooke's, centripetal", "ka_url": "http://www.khanacademy.org/video/spring-potential-energy-example--mistake-in-math", "duration": 578, "translated_title": "Spring potential energy example (mistake in math)", "translated_description_html": "A spring, a frozen loop-d-loop and more! (See if you can find the mistake I made and get the right answer!)", "id": "25641", "description_html": "A spring, a frozen loop-d-loop and more! (See if you can find the mistake I made and get the right answer!)", "title": "Spring potential energy example (mistake in math)", "progress_key": "v25641", "edit_slug": "edit/v/25641", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A spring, a frozen loop-d-loop and more! (See if you can find the mistake I made and get the right answer!)", "extra_properties": null, "node_slug": "v/spring-potential-energy-example--mistake-in-math", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P3QV9ktuYlQ.mp4/P3QV9ktuYlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P3QV9ktuYlQ.mp4/P3QV9ktuYlQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P3QV9ktuYlQ.m3u8/P3QV9ktuYlQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P3QV9ktuYlQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25641", "sha": "ac8f2da1426ee3d3f3501cb71f44b8c23c7e367a", "translated_description": "A spring, a frozen loop-d-loop and more! (See if you can find the mistake I made and get the right answer!)", "image_url": "https://img.youtube.com/vi/P3QV9ktuYlQ/hqdefault.jpg", "youtube_id": "P3QV9ktuYlQ", "content_kind": "Video", "readable_id": "spring-potential-energy-example--mistake-in-math"}], "twitter_url": "", "translated_description": "Weighing machines of all sorts employ springs that take a certain amount of force to keep compressed or stretched to a certain point. Hooke's law will give us all the tools to weigh in on the subject ourselves and spring into action (yes, the puns are annoying us too)!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Weighing machines of all sorts employ springs that take a certain amount of force to keep compressed or stretched to a certain point. Hooke's law will give us all the tools to weigh in on the subject ourselves and spring into action (yes, the puns are annoying us too)!", "x_pos": 0.0, "node_slug": "hookes-law", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax13b3934d", "topic_page_url": "/science/physics/work-and-energy/hookes-law", "extended_slug": "science/physics/work-and-energy/hookes-law", "slug": "hookes-law", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6449939b14f04aed0cb418c8e48967314fb21a88", "standalone_title": "Springs and Hooke's Law", "y_pos": 0.0, "current_revision_key": "6449939b14f04aed0cb418c8e48967314fb21a88", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.", "x_pos": 0.0, "node_slug": "work-and-energy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb0e99c9", "topic_page_url": "/science/physics/work-and-energy", "extended_slug": "science/physics/work-and-energy", "slug": "work-and-energy", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5bfaeda56a6b420dfae4948c710e176f4f514526", "standalone_title": "Work and energy", "y_pos": 0.0, "current_revision_key": "5bfaeda56a6b420dfae4948c710e176f4f514526", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/linear-momentum", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/linear-momentum", "translated_standalone_title": "Impacts and linear momentum", "translated_title": "Impacts and linear momentum", "gplus_url": "", "id": "xbcbeda4a", "old_key_name": "_8-Me-SEM_hsrPN9FxMKMY08c785-79L1Lx1IU5K", "hide": false, "title": "Impacts and linear momentum", "child_data": [{"kind": "Topic", "id": "x1393d93d"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/linear-momentum/momentum-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial", "translated_standalone_title": "Momentum", "translated_title": "Momentum", "gplus_url": "", "id": "x1393d93d", "old_key_name": "1qASawmehyqENUSp2uAkqaxhIhepxjYYjan4CUKf", "hide": false, "title": "Momentum", "child_data": [{"kind": "Video", "id": 25579}, {"kind": "Video", "id": 25581}, {"kind": "Video", "id": 25583}, {"kind": "Video", "id": 25585}], "children": [{"translated_youtube_id": "XFhntPxow0U", "relative_url": "/video/introduction-to-momentum", "has_questions": false, "keywords": "physics, momentum, impulse, force, acceleration, velocity", "ka_url": "http://www.khanacademy.org/video/introduction-to-momentum", "duration": 558, "translated_title": "Introduction to momentum", "translated_description_html": "What momentum is. A simple problem involving momentum.", "id": "25579", "description_html": "What momentum is. A simple problem involving momentum.", "title": "Introduction to momentum", "progress_key": "v25579", "edit_slug": "edit/v/25579", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What momentum is. A simple problem involving momentum.", "extra_properties": null, "node_slug": "v/introduction-to-momentum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XFhntPxow0U.mp4/XFhntPxow0U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XFhntPxow0U.mp4/XFhntPxow0U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XFhntPxow0U.m3u8/XFhntPxow0U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XFhntPxow0U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25579", "sha": "bc8d9201cd27654db63ac470bd95ecb25a1df7a8", "translated_description": "What momentum is. A simple problem involving momentum.", "image_url": "https://img.youtube.com/vi/XFhntPxow0U/hqdefault.jpg", "youtube_id": "XFhntPxow0U", "content_kind": "Video", "readable_id": "introduction-to-momentum"}, {"translated_youtube_id": "vPkkCOlGND4", "relative_url": "/video/momentum--ice-skater-throws-a-ball", "has_questions": false, "keywords": "physics, physical, science, momentum, velocity", "ka_url": "http://www.khanacademy.org/video/momentum--ice-skater-throws-a-ball", "duration": 360, "translated_title": "Momentum: Ice skater throws a ball", "translated_description_html": "A simple conservation of momentum problem involving an ice skater and a ball", "id": "25581", "description_html": "A simple conservation of momentum problem involving an ice skater and a ball", "title": "Momentum: Ice skater throws a ball", "progress_key": "v25581", "edit_slug": "edit/v/25581", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A simple conservation of momentum problem involving an ice skater and a ball", "extra_properties": null, "node_slug": "v/momentum--ice-skater-throws-a-ball", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vPkkCOlGND4.mp4/vPkkCOlGND4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vPkkCOlGND4.mp4/vPkkCOlGND4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vPkkCOlGND4.m3u8/vPkkCOlGND4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vPkkCOlGND4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25581", "sha": "76e7f138c47f190f1acddc2c6efe5a9428c9c80f", "translated_description": "A simple conservation of momentum problem involving an ice skater and a ball", "image_url": "https://img.youtube.com/vi/vPkkCOlGND4/hqdefault.jpg", "youtube_id": "vPkkCOlGND4", "content_kind": "Video", "readable_id": "momentum--ice-skater-throws-a-ball"}, {"translated_youtube_id": "CFygKiTB-4A", "relative_url": "/video/2-dimensional-momentum-problem", "has_questions": false, "keywords": "momentum, vectors, vector, physics, dimensions", "ka_url": "http://www.khanacademy.org/video/2-dimensional-momentum-problem", "duration": 635, "translated_title": "2-dimensional momentum problem", "translated_description_html": "An example of conservation of momentum in two dimensions.", "id": "25583", "description_html": "An example of conservation of momentum in two dimensions.", "title": "2-dimensional momentum problem", "progress_key": "v25583", "edit_slug": "edit/v/25583", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An example of conservation of momentum in two dimensions.", "extra_properties": null, "node_slug": "v/2-dimensional-momentum-problem", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFygKiTB-4A.mp4/CFygKiTB-4A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFygKiTB-4A.mp4/CFygKiTB-4A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CFygKiTB-4A.m3u8/CFygKiTB-4A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CFygKiTB-4A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25583", "sha": "a07ae8b32549da66c0ec83ad58037b80b3908c6f", "translated_description": "An example of conservation of momentum in two dimensions.", "image_url": "https://img.youtube.com/vi/CFygKiTB-4A/hqdefault.jpg", "youtube_id": "CFygKiTB-4A", "content_kind": "Video", "readable_id": "2-dimensional-momentum-problem"}, {"translated_youtube_id": "leudxqivIJI", "relative_url": "/video/2-dimensional-momentum-problem--part-2", "has_questions": false, "keywords": "momentum, angle, velocity, physics", "ka_url": "http://www.khanacademy.org/video/2-dimensional-momentum-problem--part-2", "duration": 572, "translated_title": "2-dimensional momentum problem (part 2)", "translated_description_html": "We finish the 2-dimensional momentum problem", "id": "25585", "description_html": "We finish the 2-dimensional momentum problem", "title": "2-dimensional momentum problem (part 2)", "progress_key": "v25585", "edit_slug": "edit/v/25585", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "We finish the 2-dimensional momentum problem", "extra_properties": null, "node_slug": "v/2-dimensional-momentum-problem--part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/leudxqivIJI.mp4/leudxqivIJI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/leudxqivIJI.mp4/leudxqivIJI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/leudxqivIJI.m3u8/leudxqivIJI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=leudxqivIJI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25585", "sha": "dc73f250c6838f2af8dadf059582a2d389099e0a", "translated_description": "We finish the 2-dimensional momentum problem", "image_url": "https://img.youtube.com/vi/leudxqivIJI/hqdefault.jpg", "youtube_id": "leudxqivIJI", "content_kind": "Video", "readable_id": "2-dimensional-momentum-problem--part-2"}], "twitter_url": "", "translated_description": "Depending on your view of things, this may be the most violent of our tutorials. Things will crash and collide. We'll learn about momentum and how it is transferred. Whether you're playing pool (or \"billiards\") or deciding whether you want to get tackled by the 300lb. guy, this tutorial is of key importance.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Depending on your view of things, this may be the most violent of our tutorials. Things will crash and collide. We'll learn about momentum and how it is transferred. Whether you're playing pool (or \"billiards\") or deciding whether you want to get tackled by the 300lb. guy, this tutorial is of key importance.", "x_pos": 0.0, "node_slug": "momentum-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1393d93d", "topic_page_url": "/science/physics/linear-momentum/momentum-tutorial", "extended_slug": "science/physics/linear-momentum/momentum-tutorial", "slug": "momentum-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "420283767655ab9d831dd66ccb79e6ab1e4c8c36", "standalone_title": "Momentum", "y_pos": 0.0, "current_revision_key": "420283767655ab9d831dd66ccb79e6ab1e4c8c36", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Linear momentum. Conservation of momentum. Elastic collisions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Linear momentum. Conservation of momentum. Elastic collisions.", "x_pos": 0.0, "node_slug": "linear-momentum", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbcbeda4a", "topic_page_url": "/science/physics/linear-momentum", "extended_slug": "science/physics/linear-momentum", "slug": "linear-momentum", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d8148f9a3cfe5c040f9770ee4abe3a91c92f39bb", "standalone_title": "Impacts and linear momentum", "y_pos": 0.0, "current_revision_key": "d8148f9a3cfe5c040f9770ee4abe3a91c92f39bb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/torque-angular-momentum", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/torque-angular-momentum", "translated_standalone_title": "Moments, torque and angular momentum", "translated_title": "Moments, torque and angular momentum", "gplus_url": "", "id": "x6e1d9254", "old_key_name": "1bGkx_8p4eLb7vpLOGyacbP18hgC5l7X3wBonb8c", "hide": false, "title": "Moments, torque and angular momentum", "child_data": [{"kind": "Topic", "id": "xf06d2087"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/torque-angular-momentum/torque-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial", "translated_standalone_title": "Torque, moments and angular momentum", "translated_title": "Torque, moments and angular momentum", "gplus_url": "", "id": "xf06d2087", "old_key_name": "NUYnnwVNerZep0a2W8NzXGVLL_iYF1jlE5qgOCSo", "hide": false, "title": "Torque, moments and angular momentum", "child_data": [{"kind": "Video", "id": 25601}, {"kind": "Video", "id": 25603}, {"kind": "Video", "id": 25605}, {"kind": "Video", "id": 25607}, {"kind": "Video", "id": 398462562}, {"kind": "Video", "id": 25631}], "children": [{"translated_youtube_id": "VrflZifKIuw", "relative_url": "/video/center-of-mass", "has_questions": false, "keywords": "physics, center, of, mass, force, acceleration", "ka_url": "http://www.khanacademy.org/video/center-of-mass", "duration": 576, "translated_title": "Center of mass", "translated_description_html": "Introduction to the center of mass", "id": "25601", "description_html": "Introduction to the center of mass", "title": "Center of mass", "progress_key": "v25601", "edit_slug": "edit/v/25601", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the center of mass", "extra_properties": null, "node_slug": "v/center-of-mass", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrflZifKIuw.mp4/VrflZifKIuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VrflZifKIuw.mp4/VrflZifKIuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VrflZifKIuw.m3u8/VrflZifKIuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VrflZifKIuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25601", "sha": "9350582f9a8966e24f4ef7861395af3f95662060", "translated_description": "Introduction to the center of mass", "image_url": "https://img.youtube.com/vi/VrflZifKIuw/hqdefault.jpg", "youtube_id": "VrflZifKIuw", "content_kind": "Video", "readable_id": "center-of-mass"}, {"translated_youtube_id": "QhuJn8YBtmg", "relative_url": "/video/introduction-to-torque", "has_questions": false, "keywords": "physics, torque, rotation", "ka_url": "http://www.khanacademy.org/video/introduction-to-torque", "duration": 564, "translated_title": "Introduction to torque", "translated_description_html": "An introduction to torque", "id": "25603", "description_html": "An introduction to torque", "title": "Introduction to torque", "progress_key": "v25603", "edit_slug": "edit/v/25603", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to torque", "extra_properties": null, "node_slug": "v/introduction-to-torque", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QhuJn8YBtmg.mp4/QhuJn8YBtmg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QhuJn8YBtmg.mp4/QhuJn8YBtmg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QhuJn8YBtmg.m3u8/QhuJn8YBtmg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QhuJn8YBtmg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25603", "sha": "2f53f5abaef83e35ccafca91af6317b77548e784", "translated_description": "An introduction to torque", "image_url": "https://img.youtube.com/vi/QhuJn8YBtmg/hqdefault.jpg", "youtube_id": "QhuJn8YBtmg", "content_kind": "Video", "readable_id": "introduction-to-torque"}, {"translated_youtube_id": "ESusD8HRLBI", "relative_url": "/video/moments", "has_questions": false, "keywords": "torque, moment, of, force, rotation", "ka_url": "http://www.khanacademy.org/video/moments", "duration": 854, "translated_title": "Moments", "translated_description_html": "Introduction to moments", "id": "25605", "description_html": "Introduction to moments", "title": "Moments", "progress_key": "v25605", "edit_slug": "edit/v/25605", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to moments", "extra_properties": null, "node_slug": "v/moments", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ESusD8HRLBI.mp4/ESusD8HRLBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ESusD8HRLBI.mp4/ESusD8HRLBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ESusD8HRLBI.m3u8/ESusD8HRLBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ESusD8HRLBI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25605", "sha": "c82b775528aafed882c7390cbefca83e475165c7", "translated_description": "Introduction to moments", "image_url": "https://img.youtube.com/vi/ESusD8HRLBI/hqdefault.jpg", "youtube_id": "ESusD8HRLBI", "content_kind": "Video", "readable_id": "moments"}, {"translated_youtube_id": "peXbz0frV74", "relative_url": "/video/moments--part-2", "has_questions": false, "keywords": "moment, torque", "ka_url": "http://www.khanacademy.org/video/moments--part-2", "duration": 830, "translated_title": "Moments (part 2)", "translated_description_html": "2 more moment problems.", "id": "25607", "description_html": "2 more moment problems.", "title": "Moments (part 2)", "progress_key": "v25607", "edit_slug": "edit/v/25607", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "2 more moment problems.", "extra_properties": null, "node_slug": "v/moments--part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/peXbz0frV74.mp4/peXbz0frV74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/peXbz0frV74.mp4/peXbz0frV74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/peXbz0frV74.m3u8/peXbz0frV74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=peXbz0frV74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25607", "sha": "b3fe4362195d09195d1e4b161e154d64db29bfd5", "translated_description": "2 more moment problems.", "image_url": "https://img.youtube.com/vi/peXbz0frV74/hqdefault.jpg", "youtube_id": "peXbz0frV74", "content_kind": "Video", "readable_id": "moments--part-2"}, {"translated_youtube_id": "zAx61CO5mDw", "relative_url": "/video/relationship-between-angular-velocity-and-speed", "has_questions": false, "keywords": "Relationship, between, angular, velocity, and, speed", "ka_url": "http://www.khanacademy.org/video/relationship-between-angular-velocity-and-speed", "duration": 564, "translated_title": "Relationship between angular velocity and speed", "translated_description_html": "How angular velocity relates to speed", "id": "398462562", "description_html": "How angular velocity relates to speed", "title": "Relationship between angular velocity and speed", "progress_key": "v398462562", "edit_slug": "edit/v/398462562", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How angular velocity relates to speed", "extra_properties": null, "node_slug": "v/relationship-between-angular-velocity-and-speed", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-23T11:01:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zAx61CO5mDw.mp4/zAx61CO5mDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zAx61CO5mDw.mp4/zAx61CO5mDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zAx61CO5mDw.m3u8/zAx61CO5mDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zAx61CO5mDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v398462562", "sha": "8027b71d658589d5967ff22d8d48441f6e55cffa", "translated_description": "How angular velocity relates to speed", "image_url": "https://img.youtube.com/vi/zAx61CO5mDw/hqdefault.jpg", "youtube_id": "zAx61CO5mDw", "content_kind": "Video", "readable_id": "relationship-between-angular-velocity-and-speed"}, {"translated_youtube_id": "s_R8d3isJDA", "relative_url": "/video/conservation-of-angular-momemtum", "has_questions": false, "keywords": "physics, angular, momentum, velocity, torque", "ka_url": "http://www.khanacademy.org/video/conservation-of-angular-momemtum", "duration": 612, "translated_title": "Conservation of angular momentum", "translated_description_html": "Angular momentum is constant when there is no net torque.", "id": "25631", "description_html": "Angular momentum is constant when there is no net torque.", "title": "Conservation of angular momentum", "progress_key": "v25631", "edit_slug": "edit/v/25631", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Angular momentum is constant when there is no net torque.", "extra_properties": null, "node_slug": "v/conservation-of-angular-momemtum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s_R8d3isJDA.mp4/s_R8d3isJDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s_R8d3isJDA.mp4/s_R8d3isJDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s_R8d3isJDA.m3u8/s_R8d3isJDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s_R8d3isJDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25631", "sha": "596e4f8ef51d0467beadd607a0fc726f8d377c83", "translated_description": "Angular momentum is constant when there is no net torque.", "image_url": "https://img.youtube.com/vi/s_R8d3isJDA/hqdefault.jpg", "youtube_id": "s_R8d3isJDA", "content_kind": "Video", "readable_id": "conservation-of-angular-momemtum"}], "twitter_url": "", "translated_description": "Until this tutorial, we have been completely ignoring that things rotate. In this tutorial, we'll explore why they rotate and how they do it. It will leave your head spinning (no, it won't, but seemed like a fun thing to say given the subject matter).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Until this tutorial, we have been completely ignoring that things rotate. In this tutorial, we'll explore why they rotate and how they do it. It will leave your head spinning (no, it won't, but seemed like a fun thing to say given the subject matter).", "x_pos": 0.0, "node_slug": "torque-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf06d2087", "topic_page_url": "/science/physics/torque-angular-momentum/torque-tutorial", "extended_slug": "science/physics/torque-angular-momentum/torque-tutorial", "slug": "torque-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dd48598a10187b4548796a69d79c38bdbd63da36", "standalone_title": "Torque, moments and angular momentum", "y_pos": 0.0, "current_revision_key": "dd48598a10187b4548796a69d79c38bdbd63da36", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Thinking about making things rotate. Center of mass, torque, moments and angular velocity.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Thinking about making things rotate. Center of mass, torque, moments and angular velocity.", "x_pos": 0.0, "node_slug": "torque-angular-momentum", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e1d9254", "topic_page_url": "/science/physics/torque-angular-momentum", "extended_slug": "science/physics/torque-angular-momentum", "slug": "torque-angular-momentum", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f74afaea29eabb8fe396ecd14bad2c21aa39b55b", "standalone_title": "Moments, torque and angular momentum", "y_pos": 0.0, "current_revision_key": "f74afaea29eabb8fe396ecd14bad2c21aa39b55b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/newton-gravitation", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/newton-gravitation", "translated_standalone_title": "Gravitation", "translated_title": "Gravitation", "gplus_url": "", "id": "x17c5da0a", "old_key_name": "Vyx22_D-WkqIlTXwqzMCZcOltn_XrhmClvR2C4eF", "hide": false, "title": "Gravitation", "child_data": [{"kind": "Topic", "id": "x8c2c3627"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/newton-gravitation/gravity-newtonian", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/newton-gravitation/gravity-newtonian", "translated_standalone_title": "Newton's law of gravitation", "translated_title": "Newton's law of gravitation", "gplus_url": "", "id": "x8c2c3627", "old_key_name": "upIr-gtYVx0h4MG9vbJEKTqb-I_lO40IsXwiyENv", "hide": false, "title": "Newton's law of gravitation", "child_data": [{"kind": "Video", "id": 113633130}, {"kind": "Video", "id": 116854912}, {"kind": "Video", "id": 114445217}, {"kind": "Video", "id": 116862364}, {"kind": "Video", "id": 400139076}, {"kind": "Video", "id": 400136157}, {"kind": "Video", "id": 25633}, {"kind": "Video", "id": 25635}], "children": [{"translated_youtube_id": "Xcel427Ezl0", "relative_url": "/video/introduction-to-gravity", "has_questions": false, "keywords": "mass, newton, isaac, einstein", "ka_url": "http://www.khanacademy.org/video/introduction-to-gravity", "duration": 943, "translated_title": "Introduction to gravity", "translated_description_html": "Basics of gravity and the Law of Universal Gravitation", "id": "113633130", "description_html": "Basics of gravity and the Law of Universal Gravitation", "title": "Introduction to gravity", "progress_key": "v113633130", "edit_slug": "edit/v/113633130", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics of gravity and the Law of Universal Gravitation", "extra_properties": null, "node_slug": "v/introduction-to-gravity", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xcel427Ezl0.mp4/Xcel427Ezl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xcel427Ezl0.mp4/Xcel427Ezl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xcel427Ezl0.m3u8/Xcel427Ezl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xcel427Ezl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633130", "sha": "015a8909f81ad9bcbe389e2747b8a0646b41b5ef", "translated_description": "Basics of gravity and the Law of Universal Gravitation", "image_url": "https://img.youtube.com/vi/Xcel427Ezl0/hqdefault.jpg", "youtube_id": "Xcel427Ezl0", "content_kind": "Video", "readable_id": "introduction-to-gravity"}, {"translated_youtube_id": "IuBoeDihLUc", "relative_url": "/video/mass-and-weight-clarification", "has_questions": false, "keywords": "physics, mass, weight, slug, pound, kilogram, newton", "ka_url": "http://www.khanacademy.org/video/mass-and-weight-clarification", "duration": 641, "translated_title": "Mass and weight clarification", "translated_description_html": "Difference between mass and weight", "id": "116854912", "description_html": "Difference between mass and weight", "title": "Mass and weight clarification", "progress_key": "v116854912", "edit_slug": "edit/v/116854912", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Difference between mass and weight", "extra_properties": null, "node_slug": "v/mass-and-weight-clarification", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IuBoeDihLUc.mp4/IuBoeDihLUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IuBoeDihLUc.mp4/IuBoeDihLUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IuBoeDihLUc.m3u8/IuBoeDihLUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IuBoeDihLUc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854912", "sha": "fea525aacb1d38ac8d447a06d6526cb2ef14cdae", "translated_description": "Difference between mass and weight", "image_url": "https://img.youtube.com/vi/IuBoeDihLUc/hqdefault.jpg", "youtube_id": "IuBoeDihLUc", "content_kind": "Video", "readable_id": "mass-and-weight-clarification"}, {"translated_youtube_id": "oIZV-ixRTcY", "relative_url": "/video/gravity-for-astronauts-in-orbit", "has_questions": false, "keywords": "gravity, physics, weight, free, fall", "ka_url": "http://www.khanacademy.org/video/gravity-for-astronauts-in-orbit", "duration": 432, "translated_title": "Gravity for astronauts in orbit", "translated_description_html": "Why do astronauts appear weightless despite being near the Earth?", "id": "114445217", "description_html": "Why do astronauts appear weightless despite being near the Earth?", "title": "Gravity for astronauts in orbit", "progress_key": "v114445217", "edit_slug": "edit/v/114445217", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why do astronauts appear weightless despite being near the Earth?", "extra_properties": null, "node_slug": "v/gravity-for-astronauts-in-orbit", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-12T23:26:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oIZV-ixRTcY.mp4/oIZV-ixRTcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oIZV-ixRTcY.mp4/oIZV-ixRTcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oIZV-ixRTcY.m3u8/oIZV-ixRTcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oIZV-ixRTcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v114445217", "sha": "b25b12a006a488a1ebd02e0df0bb261fedc3764c", "translated_description": "Why do astronauts appear weightless despite being near the Earth?", "image_url": "https://img.youtube.com/vi/oIZV-ixRTcY/hqdefault.jpg", "youtube_id": "oIZV-ixRTcY", "content_kind": "Video", "readable_id": "gravity-for-astronauts-in-orbit"}, {"translated_youtube_id": "36Rym2q4H94", "relative_url": "/video/would-a-brick-or-feather-fall-faster", "has_questions": false, "keywords": "physics, weight, mass, gravity, acceleration", "ka_url": "http://www.khanacademy.org/video/would-a-brick-or-feather-fall-faster", "duration": 635, "translated_title": "Would a brick or feather fall faster?", "translated_description_html": "What would fall faster on the moon?", "id": "116862364", "description_html": "What would fall faster on the moon?", "title": "Would a brick or feather fall faster?", "progress_key": "v116862364", "edit_slug": "edit/v/116862364", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What would fall faster on the moon?", "extra_properties": null, "node_slug": "v/would-a-brick-or-feather-fall-faster", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-06-14T23:26:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/36Rym2q4H94.mp4/36Rym2q4H94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/36Rym2q4H94.mp4/36Rym2q4H94.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/36Rym2q4H94.m3u8/36Rym2q4H94.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=36Rym2q4H94&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116862364", "sha": "95b9d5b2b2bacfea9266ab7fa64823af03058a3a", "translated_description": "What would fall faster on the moon?", "image_url": "https://img.youtube.com/vi/36Rym2q4H94/hqdefault.jpg", "youtube_id": "36Rym2q4H94", "content_kind": "Video", "readable_id": "would-a-brick-or-feather-fall-faster"}, {"translated_youtube_id": "R5CRZONOHCU", "relative_url": "/video/acceleration-due-to-gravity-at-the-space-station", "has_questions": false, "keywords": "newton, law, gravitation", "ka_url": "http://www.khanacademy.org/video/acceleration-due-to-gravity-at-the-space-station", "duration": 613, "translated_title": "Acceleration due to gravity at the space station", "translated_description_html": "What is the acceleration due to gravity at the space station", "id": "400139076", "description_html": "What is the acceleration due to gravity at the space station", "title": "Acceleration due to gravity at the space station", "progress_key": "v400139076", "edit_slug": "edit/v/400139076", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What is the acceleration due to gravity at the space station", "extra_properties": null, "node_slug": "v/acceleration-due-to-gravity-at-the-space-station", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-11-24T11:01:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R5CRZONOHCU.mp4/R5CRZONOHCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R5CRZONOHCU.mp4/R5CRZONOHCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R5CRZONOHCU.m3u8/R5CRZONOHCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R5CRZONOHCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400139076", "sha": "3f266f1e8d073a1dc687f8f1bfd160d436881d2b", "translated_description": "What is the acceleration due to gravity at the space station", "image_url": "https://img.youtube.com/vi/R5CRZONOHCU/hqdefault.jpg", "youtube_id": "R5CRZONOHCU", "content_kind": "Video", "readable_id": "acceleration-due-to-gravity-at-the-space-station"}, {"translated_youtube_id": "9BNkmfHYYYI", "relative_url": "/video/space-station-speed-in-orbit", "has_questions": false, "keywords": "centripetal, acceleration", "ka_url": "http://www.khanacademy.org/video/space-station-speed-in-orbit", "duration": 396, "translated_title": "Space station speed in orbit", "translated_description_html": "Speed necessary for the space station to stay in orbit", "id": "400136157", "description_html": "Speed necessary for the space station to stay in orbit", "title": "Space station speed in orbit", "progress_key": "v400136157", "edit_slug": "edit/v/400136157", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Speed necessary for the space station to stay in orbit", "extra_properties": null, "node_slug": "v/space-station-speed-in-orbit", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-11-24T11:01:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9BNkmfHYYYI.mp4/9BNkmfHYYYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9BNkmfHYYYI.mp4/9BNkmfHYYYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9BNkmfHYYYI.m3u8/9BNkmfHYYYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9BNkmfHYYYI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400136157", "sha": "a1f580c596fecc90f49e961547c4f2070f8243d9", "translated_description": "Speed necessary for the space station to stay in orbit", "image_url": "https://img.youtube.com/vi/9BNkmfHYYYI/hqdefault.jpg", "youtube_id": "9BNkmfHYYYI", "content_kind": "Video", "readable_id": "space-station-speed-in-orbit"}, {"translated_youtube_id": "391txUI76gM", "relative_url": "/video/introduction-to-newton-s-law-of-gravitation", "has_questions": false, "keywords": "physics, newton, gravity, gravitation, force", "ka_url": "http://www.khanacademy.org/video/introduction-to-newton-s-law-of-gravitation", "duration": 517, "translated_title": "Introduction to Newton's law of gravitation", "translated_description_html": "A little bit on gravity", "id": "25633", "description_html": "A little bit on gravity", "title": "Introduction to Newton's law of gravitation", "progress_key": "v25633", "edit_slug": "edit/v/25633", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little bit on gravity", "extra_properties": null, "node_slug": "v/introduction-to-newton-s-law-of-gravitation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/391txUI76gM.mp4/391txUI76gM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/391txUI76gM.mp4/391txUI76gM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/391txUI76gM.m3u8/391txUI76gM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=391txUI76gM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25633", "sha": "0b569f3643c7bd0008dc62c42bac5de2618fd978", "translated_description": "A little bit on gravity", "image_url": "https://img.youtube.com/vi/391txUI76gM/hqdefault.jpg", "youtube_id": "391txUI76gM", "content_kind": "Video", "readable_id": "introduction-to-newton-s-law-of-gravitation"}, {"translated_youtube_id": "8i0j3j16yFk", "relative_url": "/video/gravitation--part-2", "has_questions": false, "keywords": "newton, law, of, gravity, gravitational, constant, mass, force", "ka_url": "http://www.khanacademy.org/video/gravitation--part-2", "duration": 496, "translated_title": "Gravitation (part 2)", "translated_description_html": "A little bit more on gravity", "id": "25635", "description_html": "A little bit more on gravity", "title": "Gravitation (part 2)", "progress_key": "v25635", "edit_slug": "edit/v/25635", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little bit more on gravity", "extra_properties": null, "node_slug": "v/gravitation--part-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8i0j3j16yFk.mp4/8i0j3j16yFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8i0j3j16yFk.mp4/8i0j3j16yFk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8i0j3j16yFk.m3u8/8i0j3j16yFk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8i0j3j16yFk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25635", "sha": "b5c31d07e680b2374317fc260902cffbd73a0030", "translated_description": "A little bit more on gravity", "image_url": "https://img.youtube.com/vi/8i0j3j16yFk/hqdefault.jpg", "youtube_id": "8i0j3j16yFk", "content_kind": "Video", "readable_id": "gravitation--part-2"}], "twitter_url": "", "translated_description": "Why are you sticking to your chair (ignoring the spilled glue)? Why does the earth orbit the sun (or does it)? How high could I throw my dog on the moon?\n\nGravitation defines our everyday life and the structure of the universe. This tutorial will introduce it to you in the Newtonian sense.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Why are you sticking to your chair (ignoring the spilled glue)? Why does the earth orbit the sun (or does it)? How high could I throw my dog on the moon?\n\nGravitation defines our everyday life and the structure of the universe. This tutorial will introduce it to you in the Newtonian sense.", "x_pos": 0.0, "node_slug": "gravity-newtonian", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c2c3627", "topic_page_url": "/science/physics/newton-gravitation/gravity-newtonian", "extended_slug": "science/physics/newton-gravitation/gravity-newtonian", "slug": "gravity-newtonian", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "cddb22c33f6714640d0b4471d4f61a8d398a258f", "standalone_title": "Newton's law of gravitation", "y_pos": 0.0, "current_revision_key": "cddb22c33f6714640d0b4471d4f61a8d398a258f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Classical gravity. How masses attract each other (according to Newton).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Classical gravity. How masses attract each other (according to Newton).", "x_pos": 0.0, "node_slug": "newton-gravitation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax17c5da0a", "topic_page_url": "/science/physics/newton-gravitation", "extended_slug": "science/physics/newton-gravitation", "slug": "newton-gravitation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7a27fd7325a0d428f63b1a3aa8faa1277845cd0f", "standalone_title": "Gravitation", "y_pos": 0.0, "current_revision_key": "7a27fd7325a0d428f63b1a3aa8faa1277845cd0f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/oscillatory-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/oscillatory-motion", "translated_standalone_title": "Oscillatory motion", "translated_title": "Oscillatory motion", "gplus_url": "", "id": "x90a204f6", "old_key_name": "88reI-70qmq7Z8goMkw5F-emrhpJMeEG0WzKm8c-", "hide": false, "title": "Oscillatory motion", "child_data": [{"kind": "Topic", "id": "xd4d1cd3b"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/oscillatory-motion/harmonic-motion", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion", "translated_standalone_title": "Harmonic motion", "translated_title": "Harmonic motion", "gplus_url": "", "id": "xd4d1cd3b", "old_key_name": "uwT7UEJdQua3bUfRzqKwAhbM6Z0sd8tbcjmSQmS0", "hide": false, "title": "Harmonic motion", "child_data": [{"kind": "Video", "id": 25643}, {"kind": "Video", "id": 25645}, {"kind": "Video", "id": 25647}], "children": [{"translated_youtube_id": "Nk2q-_jkJVs", "relative_url": "/video/introduction-to-harmonic-motion", "has_questions": false, "keywords": "harmonic, motion, spring, period, oscillatory", "ka_url": "http://www.khanacademy.org/video/introduction-to-harmonic-motion", "duration": 603, "translated_title": "Introduction to harmonic motion", "translated_description_html": "Intuition behind the motion of a mass on a spring (some calculus near the end).", "id": "25643", "description_html": "Intuition behind the motion of a mass on a spring (some calculus near the end).", "title": "Introduction to harmonic motion", "progress_key": "v25643", "edit_slug": "edit/v/25643", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind the motion of a mass on a spring (some calculus near the end).", "extra_properties": null, "node_slug": "v/introduction-to-harmonic-motion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nk2q-_jkJVs.mp4/Nk2q-_jkJVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nk2q-_jkJVs.mp4/Nk2q-_jkJVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nk2q-_jkJVs.m3u8/Nk2q-_jkJVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nk2q-_jkJVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25643", "sha": "fd2870f1c94b4711ff23c13c9d46eca95a5c336c", "translated_description": "Intuition behind the motion of a mass on a spring (some calculus near the end).", "image_url": "https://img.youtube.com/vi/Nk2q-_jkJVs/hqdefault.jpg", "youtube_id": "Nk2q-_jkJVs", "content_kind": "Video", "readable_id": "introduction-to-harmonic-motion"}, {"translated_youtube_id": "xoUppFlif04", "relative_url": "/video/harmonic-motion-part-2--calculus", "has_questions": false, "keywords": "Harmonic, Motion, Differential, Equation, spring", "ka_url": "http://www.khanacademy.org/video/harmonic-motion-part-2--calculus", "duration": 586, "translated_title": "Harmonic motion part 2 (calculus)", "translated_description_html": "We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx", "id": "25645", "description_html": "We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx", "title": "Harmonic motion part 2 (calculus)", "progress_key": "v25645", "edit_slug": "edit/v/25645", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx", "extra_properties": null, "node_slug": "v/harmonic-motion-part-2--calculus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xoUppFlif04.mp4/xoUppFlif04.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xoUppFlif04.mp4/xoUppFlif04.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xoUppFlif04.m3u8/xoUppFlif04.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xoUppFlif04&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25645", "sha": "baea5d58fb8301852e4e0d0f1240b624020a7cd4", "translated_description": "We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx", "image_url": "https://img.youtube.com/vi/xoUppFlif04/hqdefault.jpg", "youtube_id": "xoUppFlif04", "content_kind": "Video", "readable_id": "harmonic-motion-part-2--calculus"}, {"translated_youtube_id": "oqBHBO8cqLI", "relative_url": "/video/harmonic-motion-part-3--no-calculus", "has_questions": false, "keywords": "harmonic, motion, period, frequency, trigonometry, physics, oscillatory", "ka_url": "http://www.khanacademy.org/video/harmonic-motion-part-3--no-calculus", "duration": 584, "translated_title": "Harmonic motion part 3 (no calculus)", "translated_description_html": "Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.", "id": "25647", "description_html": "Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.", "title": "Harmonic motion part 3 (no calculus)", "progress_key": "v25647", "edit_slug": "edit/v/25647", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.", "extra_properties": null, "node_slug": "v/harmonic-motion-part-3--no-calculus", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqBHBO8cqLI.mp4/oqBHBO8cqLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oqBHBO8cqLI.mp4/oqBHBO8cqLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqBHBO8cqLI.m3u8/oqBHBO8cqLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oqBHBO8cqLI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25647", "sha": "8f74f3eb3bbf8346fa056c877f7ce16a33ba46fc", "translated_description": "Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.", "image_url": "https://img.youtube.com/vi/oqBHBO8cqLI/hqdefault.jpg", "youtube_id": "oqBHBO8cqLI", "content_kind": "Video", "readable_id": "harmonic-motion-part-3--no-calculus"}], "twitter_url": "", "translated_description": "Every watch a slinky gyrate back and forth. This is harmonic motion (a special class of oscillatory motion). In this tutorial we'll see how we can model and deal with this type of phenomena.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Every watch a slinky gyrate back and forth. This is harmonic motion (a special class of oscillatory motion). In this tutorial we'll see how we can model and deal with this type of phenomena.", "x_pos": 0.0, "node_slug": "harmonic-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd4d1cd3b", "topic_page_url": "/science/physics/oscillatory-motion/harmonic-motion", "extended_slug": "science/physics/oscillatory-motion/harmonic-motion", "slug": "harmonic-motion", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c1f71150de2eca55ede1c6781341afb4b58c9775", "standalone_title": "Harmonic motion", "y_pos": 0.0, "current_revision_key": "c1f71150de2eca55ede1c6781341afb4b58c9775", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Pendulums. Slinkies. You when you have to use the bathroom but it is occupied. These all go back and forth over and over and over again. This tutorial explores this type of motion.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Pendulums. Slinkies. You when you have to use the bathroom but it is occupied. These all go back and forth over and over and over again. This tutorial explores this type of motion.", "x_pos": 0.0, "node_slug": "oscillatory-motion", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax90a204f6", "topic_page_url": "/science/physics/oscillatory-motion", "extended_slug": "science/physics/oscillatory-motion", "slug": "oscillatory-motion", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7eb1bc22137f00e829249bc39aeeb606686f0409", "standalone_title": "Oscillatory motion", "y_pos": 0.0, "current_revision_key": "7eb1bc22137f00e829249bc39aeeb606686f0409", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/fluids", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/fluids", "translated_standalone_title": "Fluids", "translated_title": "Fluids", "gplus_url": "", "id": "x2064840d", "old_key_name": "5gKZzsBcS57W4cYF4zBiaK4_cbJJWNqXJ_p_zuqu", "hide": false, "title": "Fluids", "child_data": [{"kind": "Video", "id": 25649}, {"kind": "Video", "id": 25651}, {"kind": "Video", "id": 25653}, {"kind": "Video", "id": 25655}, {"kind": "Video", "id": 25657}, {"kind": "Video", "id": 25659}, {"kind": "Video", "id": 25661}, {"kind": "Video", "id": 25663}, {"kind": "Video", "id": 25665}, {"kind": "Video", "id": 25667}, {"kind": "Video", "id": 25669}, {"kind": "Video", "id": 25671}], "children": [{"translated_youtube_id": "Pn5YEMwQb4Y", "relative_url": "/video/fluids--part-1", "has_questions": false, "keywords": "physics, chemistry, fluids, liquids, gasses, pressure", "ka_url": "http://www.khanacademy.org/video/fluids--part-1", "duration": 586, "translated_title": "Fluids (part 1)", "translated_description_html": "What a fluid is. Difference between liquids and gasses (both fluids).", "id": "25649", "description_html": "What a fluid is. Difference between liquids and gasses (both fluids).", "title": "Fluids (part 1)", "progress_key": "v25649", "edit_slug": "edit/v/25649", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What a fluid is. Difference between liquids and gasses (both fluids).", "extra_properties": null, "node_slug": "v/fluids--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pn5YEMwQb4Y.mp4/Pn5YEMwQb4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pn5YEMwQb4Y.mp4/Pn5YEMwQb4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pn5YEMwQb4Y.m3u8/Pn5YEMwQb4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pn5YEMwQb4Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25649", "sha": "0196b47221b3b86f9627930d49faf72869ff784e", "translated_description": "What a fluid is. Difference between liquids and gasses (both fluids).", "image_url": "https://img.youtube.com/vi/Pn5YEMwQb4Y/hqdefault.jpg", "youtube_id": "Pn5YEMwQb4Y", "content_kind": "Video", "readable_id": "fluids--part-1"}, {"translated_youtube_id": "lWDtFHDVqqk", "relative_url": "/video/fluids--part-2", "has_questions": false, "keywords": "physics, chemistry, pascal's, pressure, work, fluid, liquid", "ka_url": "http://www.khanacademy.org/video/fluids--part-2", "duration": 612, "translated_title": "Fluids (part 2)", "translated_description_html": "Pressure and Pascal's Principal.", "id": "25651", "description_html": "Pressure and Pascal's Principal.", "title": "Fluids (part 2)", "progress_key": "v25651", "edit_slug": "edit/v/25651", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pressure and Pascal's Principal.", "extra_properties": null, "node_slug": "v/fluids--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lWDtFHDVqqk.mp4/lWDtFHDVqqk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lWDtFHDVqqk.mp4/lWDtFHDVqqk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lWDtFHDVqqk.m3u8/lWDtFHDVqqk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lWDtFHDVqqk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25651", "sha": "ab80a83cf19eb12ef0b4ee4be3e7f3bd6ce708a9", "translated_description": "Pressure and Pascal's Principal.", "image_url": "https://img.youtube.com/vi/lWDtFHDVqqk/hqdefault.jpg", "youtube_id": "lWDtFHDVqqk", "content_kind": "Video", "readable_id": "fluids--part-2"}, {"translated_youtube_id": "5EWjlpc0S00", "relative_url": "/video/fluids--part-3", "has_questions": false, "keywords": "physics, chemistry, density, pressure", "ka_url": "http://www.khanacademy.org/video/fluids--part-3", "duration": 594, "translated_title": "Fluids (part 3)", "translated_description_html": "Pressure in a fluid at depth", "id": "25653", "description_html": "Pressure in a fluid at depth", "title": "Fluids (part 3)", "progress_key": "v25653", "edit_slug": "edit/v/25653", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pressure in a fluid at depth", "extra_properties": null, "node_slug": "v/fluids--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5EWjlpc0S00.mp4/5EWjlpc0S00.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5EWjlpc0S00.mp4/5EWjlpc0S00.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5EWjlpc0S00.m3u8/5EWjlpc0S00.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5EWjlpc0S00&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25653", "sha": "3f3384c660105eb91aa93fbd210e9e7d8b81bdf2", "translated_description": "Pressure in a fluid at depth", "image_url": "https://img.youtube.com/vi/5EWjlpc0S00/hqdefault.jpg", "youtube_id": "5EWjlpc0S00", "content_kind": "Video", "readable_id": "fluids--part-3"}, {"translated_youtube_id": "i6gz9VFyYks", "relative_url": "/video/fluids--part-4", "has_questions": false, "keywords": "physics, chemistry, atmosphere, pascal, specific, gravity, mercury", "ka_url": "http://www.khanacademy.org/video/fluids--part-4", "duration": 609, "translated_title": "Fluids (part 4)", "translated_description_html": "Using our understanding of fluid pressure to figure out the height of a column of mercury.", "id": "25655", "description_html": "Using our understanding of fluid pressure to figure out the height of a column of mercury.", "title": "Fluids (part 4)", "progress_key": "v25655", "edit_slug": "edit/v/25655", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using our understanding of fluid pressure to figure out the height of a column of mercury.", "extra_properties": null, "node_slug": "v/fluids--part-4", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i6gz9VFyYks.mp4/i6gz9VFyYks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i6gz9VFyYks.mp4/i6gz9VFyYks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i6gz9VFyYks.m3u8/i6gz9VFyYks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i6gz9VFyYks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25655", "sha": "302f3551d18c699a872c1d2c5e681bc3e5c1217e", "translated_description": "Using our understanding of fluid pressure to figure out the height of a column of mercury.", "image_url": "https://img.youtube.com/vi/i6gz9VFyYks/hqdefault.jpg", "youtube_id": "i6gz9VFyYks", "content_kind": "Video", "readable_id": "fluids--part-4"}, {"translated_youtube_id": "vzID7ds600c", "relative_url": "/video/fluids--part-5", "has_questions": false, "keywords": "Archimedes, principle, buoyant, force, physics, pressure", "ka_url": "http://www.khanacademy.org/video/fluids--part-5", "duration": 521, "translated_title": "Fluids (part 5)", "translated_description_html": "Introduction to Archimedes' principle and buoyant force.", "id": "25657", "description_html": "Introduction to Archimedes' principle and buoyant force.", "title": "Fluids (part 5)", "progress_key": "v25657", "edit_slug": "edit/v/25657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Archimedes' principle and buoyant force.", "extra_properties": null, "node_slug": "v/fluids--part-5", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vzID7ds600c.mp4/vzID7ds600c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vzID7ds600c.mp4/vzID7ds600c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vzID7ds600c.m3u8/vzID7ds600c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vzID7ds600c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25657", "sha": "b6a7e2d431fa0877432f1903b2863fb70133ca45", "translated_description": "Introduction to Archimedes' principle and buoyant force.", "image_url": "https://img.youtube.com/vi/vzID7ds600c/hqdefault.jpg", "youtube_id": "vzID7ds600c", "content_kind": "Video", "readable_id": "fluids--part-5"}, {"translated_youtube_id": "wwjtuZ5vTvc", "relative_url": "/video/fluids--part-6", "has_questions": false, "keywords": "physics, fluid, liquid, archimedes, buoyant, force, example", "ka_url": "http://www.khanacademy.org/video/fluids--part-6", "duration": 581, "translated_title": "Fluids (part 6)", "translated_description_html": "A couple of problems involving Archimedes' principle and buoyant forces.", "id": "25659", "description_html": "A couple of problems involving Archimedes' principle and buoyant forces.", "title": "Fluids (part 6)", "progress_key": "v25659", "edit_slug": "edit/v/25659", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A couple of problems involving Archimedes' principle and buoyant forces.", "extra_properties": null, "node_slug": "v/fluids--part-6", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wwjtuZ5vTvc.mp4/wwjtuZ5vTvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wwjtuZ5vTvc.mp4/wwjtuZ5vTvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wwjtuZ5vTvc.m3u8/wwjtuZ5vTvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wwjtuZ5vTvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25659", "sha": "c8c2cc75ce4248b9c3c7df7619e2c299c3e2ae42", "translated_description": "A couple of problems involving Archimedes' principle and buoyant forces.", "image_url": "https://img.youtube.com/vi/wwjtuZ5vTvc/hqdefault.jpg", "youtube_id": "wwjtuZ5vTvc", "content_kind": "Video", "readable_id": "fluids--part-6"}, {"translated_youtube_id": "G4CgOF4ccXk", "relative_url": "/video/fluids--part-7", "has_questions": false, "keywords": "physics, flux, viscosity, laminar, flow, pressure, fluid, motion", "ka_url": "http://www.khanacademy.org/video/fluids--part-7", "duration": 599, "translated_title": "Fluids (part 7)", "translated_description_html": "Introduction to the study of moving fluids.", "id": "25661", "description_html": "Introduction to the study of moving fluids.", "title": "Fluids (part 7)", "progress_key": "v25661", "edit_slug": "edit/v/25661", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the study of moving fluids.", "extra_properties": null, "node_slug": "v/fluids--part-7", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G4CgOF4ccXk.mp4/G4CgOF4ccXk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G4CgOF4ccXk.mp4/G4CgOF4ccXk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G4CgOF4ccXk.m3u8/G4CgOF4ccXk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G4CgOF4ccXk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25661", "sha": "19f529ef59395a1ac5512adf8e30a592673f9088", "translated_description": "Introduction to the study of moving fluids.", "image_url": "https://img.youtube.com/vi/G4CgOF4ccXk/hqdefault.jpg", "youtube_id": "G4CgOF4ccXk", "content_kind": "Video", "readable_id": "fluids--part-7"}, {"translated_youtube_id": "uqyLOuAzbvo", "relative_url": "/video/fluids--part-8", "has_questions": false, "keywords": "Bernoulli's, Equation, proof, pressure, volume, fluid, physics, motion", "ka_url": "http://www.khanacademy.org/video/fluids--part-8", "duration": 608, "translated_title": "Fluids (part 8)", "translated_description_html": "Beginning of the proof of Bernoulli's Equation.", "id": "25663", "description_html": "Beginning of the proof of Bernoulli's Equation.", "title": "Fluids (part 8)", "progress_key": "v25663", "edit_slug": "edit/v/25663", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Beginning of the proof of Bernoulli's Equation.", "extra_properties": null, "node_slug": "v/fluids--part-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uqyLOuAzbvo.mp4/uqyLOuAzbvo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uqyLOuAzbvo.mp4/uqyLOuAzbvo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uqyLOuAzbvo.m3u8/uqyLOuAzbvo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uqyLOuAzbvo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25663", "sha": "cd907f5174a0128aafe4252f2790f8da3876d5c4", "translated_description": "Beginning of the proof of Bernoulli's Equation.", "image_url": "https://img.youtube.com/vi/uqyLOuAzbvo/hqdefault.jpg", "youtube_id": "uqyLOuAzbvo", "content_kind": "Video", "readable_id": "fluids--part-8"}, {"translated_youtube_id": "QX2YLR09Q78", "relative_url": "/video/fluids--part-9", "has_questions": false, "keywords": "Bernoulli's, equation, fluid, motion, physics", "ka_url": "http://www.khanacademy.org/video/fluids--part-9", "duration": 609, "translated_title": "Fluids (part 9)", "translated_description_html": "Second part of the Bernoulli's Equation proof. Beginning of a problem that uses the equation.", "id": "25665", "description_html": "Second part of the Bernoulli's Equation proof. Beginning of a problem that uses the equation.", "title": "Fluids (part 9)", "progress_key": "v25665", "edit_slug": "edit/v/25665", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second part of the Bernoulli's Equation proof. Beginning of a problem that uses the equation.", "extra_properties": null, "node_slug": "v/fluids--part-9", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QX2YLR09Q78.mp4/QX2YLR09Q78.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QX2YLR09Q78.mp4/QX2YLR09Q78.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QX2YLR09Q78.m3u8/QX2YLR09Q78.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QX2YLR09Q78&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25665", "sha": "5adc3fa09344d803bcd3937deba975cedbd448a5", "translated_description": "Second part of the Bernoulli's Equation proof. Beginning of a problem that uses the equation.", "image_url": "https://img.youtube.com/vi/QX2YLR09Q78/hqdefault.jpg", "youtube_id": "QX2YLR09Q78", "content_kind": "Video", "readable_id": "fluids--part-9"}, {"translated_youtube_id": "NGpJPz44JYc", "relative_url": "/video/fluids--part-10", "has_questions": false, "keywords": "bernoulli's, equation, pressure, velocity, physics", "ka_url": "http://www.khanacademy.org/video/fluids--part-10", "duration": 515, "translated_title": "Fluids (part 10)", "translated_description_html": "Second part of the example that uses Bernoulli's equation.", "id": "25667", "description_html": "Second part of the example that uses Bernoulli's equation.", "title": "Fluids (part 10)", "progress_key": "v25667", "edit_slug": "edit/v/25667", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Second part of the example that uses Bernoulli's equation.", "extra_properties": null, "node_slug": "v/fluids--part-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.mp4/NGpJPz44JYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.mp4/NGpJPz44JYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.m3u8/NGpJPz44JYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NGpJPz44JYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25667", "sha": "89886d383a2ee75166abde293a2af3b3029f3a3e", "translated_description": "Second part of the example that uses Bernoulli's equation.", "image_url": "https://img.youtube.com/vi/NGpJPz44JYc/hqdefault.jpg", "youtube_id": "NGpJPz44JYc", "content_kind": "Video", "readable_id": "fluids--part-10"}, {"translated_youtube_id": "HnfBFeLunk4", "relative_url": "/video/fluids--part-11", "has_questions": false, "keywords": "physics, bernoulli's, equation, pressure", "ka_url": "http://www.khanacademy.org/video/fluids--part-11", "duration": 319, "translated_title": "Fluids (part 11)", "translated_description_html": "Clarification of the problem in part 10", "id": "25669", "description_html": "Clarification of the problem in part 10", "title": "Fluids (part 11)", "progress_key": "v25669", "edit_slug": "edit/v/25669", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Clarification of the problem in part 10", "extra_properties": null, "node_slug": "v/fluids--part-11", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.mp4/HnfBFeLunk4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.mp4/HnfBFeLunk4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.m3u8/HnfBFeLunk4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HnfBFeLunk4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25669", "sha": "6c100cdaf6b433e850501c321581bdd0bda5cb18", "translated_description": "Clarification of the problem in part 10", "image_url": "https://img.youtube.com/vi/HnfBFeLunk4/hqdefault.jpg", "youtube_id": "HnfBFeLunk4", "content_kind": "Video", "readable_id": "fluids--part-11"}, {"translated_youtube_id": "xlJYYM5TWoA", "relative_url": "/video/fluids--part-12", "has_questions": false, "keywords": "bernoulli's, equation, laminar, flow, flux, physics, fluid, motion", "ka_url": "http://www.khanacademy.org/video/fluids--part-12", "duration": 466, "translated_title": "Fluids (part 12)", "translated_description_html": "Complete example of a Bernoulli's Equation exercise.", "id": "25671", "description_html": "Complete example of a Bernoulli's Equation exercise.", "title": "Fluids (part 12)", "progress_key": "v25671", "edit_slug": "edit/v/25671", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Complete example of a Bernoulli's Equation exercise.", "extra_properties": null, "node_slug": "v/fluids--part-12", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xlJYYM5TWoA.mp4/xlJYYM5TWoA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xlJYYM5TWoA.mp4/xlJYYM5TWoA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xlJYYM5TWoA.m3u8/xlJYYM5TWoA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xlJYYM5TWoA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25671", "sha": "d013ef79e0184278a9f21bff8c8dc6685bb62831", "translated_description": "Complete example of a Bernoulli's Equation exercise.", "image_url": "https://img.youtube.com/vi/xlJYYM5TWoA/hqdefault.jpg", "youtube_id": "xlJYYM5TWoA", "content_kind": "Video", "readable_id": "fluids--part-12"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "fluids", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2064840d", "topic_page_url": "/science/physics/fluids", "extended_slug": "science/physics/fluids", "slug": "fluids", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "eb4f3ec9de59a04c70eef4bad85b081d6e17dc15", "standalone_title": "Fluids", "y_pos": 0.0, "current_revision_key": "eb4f3ec9de59a04c70eef4bad85b081d6e17dc15", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/thermodynamics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/thermodynamics", "translated_standalone_title": "Thermodynamics", "translated_title": "Thermodynamics", "gplus_url": "", "id": "xacf207fb", "old_key_name": "RW27DlZJvLPmo1kGQfEbiUTbSCAjrJ9tjhlvrl3F", "hide": false, "title": "Thermodynamics", "child_data": [{"kind": "Video", "id": 25673}, {"kind": "Video", "id": 25675}, {"kind": "Video", "id": 25677}, {"kind": "Video", "id": 25679}, {"kind": "Video", "id": 25681}, {"kind": "Video", "id": 412024}, {"kind": "Video", "id": 374055}, {"kind": "Video", "id": 418015}, {"kind": "Video", "id": 375068}, {"kind": "Video", "id": 376041}, {"kind": "Video", "id": 424005}, {"kind": "Video", "id": 364065}, {"kind": "Video", "id": 391045}, {"kind": "Video", "id": 431006}, {"kind": "Video", "id": 426007}, {"kind": "Video", "id": 421008}, {"kind": "Video", "id": 379050}, {"kind": "Video", "id": 388058}, {"kind": "Video", "id": 397057}, {"kind": "Video", "id": 370051}, {"kind": "Video", "id": 371060}, {"kind": "Video", "id": 392046}, {"kind": "Video", "id": 429006}, {"kind": "Video", "id": 376042}, {"kind": "Video", "id": 403032}, {"kind": "Video", "id": 414006}, {"kind": "Video", "id": 412026}, {"kind": "Video", "id": 410037}, {"kind": "Video", "id": 368056}, {"kind": "Video", "id": 389055}, {"kind": "Video", "id": 427003}, {"kind": "Video", "id": 24648}, {"kind": "Video", "id": 24650}, {"kind": "Video", "id": 24652}, {"kind": "Video", "id": 24654}, {"kind": "Video", "id": 24656}, {"kind": "Video", "id": 24658}, {"kind": "Video", "id": 24660}, {"kind": "Video", "id": 4481416}, {"kind": "Video", "id": 6022728}], "children": [{"translated_youtube_id": "tQcB9BLUoVI", "relative_url": "/video/thermodynamics--part-1", "has_questions": false, "keywords": "physics, chemistry, thermodynamics, pressure, volume, Boyle's, Law", "ka_url": "http://www.khanacademy.org/video/thermodynamics--part-1", "duration": 589, "translated_title": "Thermodynamics (part 1)", "translated_description_html": "Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume.", "id": "25673", "description_html": "Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume.", "title": "Thermodynamics (part 1)", "progress_key": "v25673", "edit_slug": "edit/v/25673", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume.", "extra_properties": null, "node_slug": "v/thermodynamics--part-1", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tQcB9BLUoVI.mp4/tQcB9BLUoVI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tQcB9BLUoVI.mp4/tQcB9BLUoVI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tQcB9BLUoVI.m3u8/tQcB9BLUoVI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tQcB9BLUoVI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25673", "sha": "c046a90846b13d3a72f098518f8637a955ffe47b", "translated_description": "Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume.", "image_url": "https://img.youtube.com/vi/tQcB9BLUoVI/hqdefault.jpg", "youtube_id": "tQcB9BLUoVI", "content_kind": "Video", "readable_id": "thermodynamics--part-1"}, {"translated_youtube_id": "x34OTtDE5q8", "relative_url": "/video/thermodynamics--part-2", "has_questions": false, "keywords": "pressure, volume, temperature, physics, boyle, charle's, law, chemistry", "ka_url": "http://www.khanacademy.org/video/thermodynamics--part-2", "duration": 617, "translated_title": "Thermodynamics (part 2)", "translated_description_html": "Example problem that pv=pv. Introduction to temperature.", "id": "25675", "description_html": "Example problem that pv=pv. Introduction to temperature.", "title": "Thermodynamics (part 2)", "progress_key": "v25675", "edit_slug": "edit/v/25675", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example problem that pv=pv. Introduction to temperature.", "extra_properties": null, "node_slug": "v/thermodynamics--part-2", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x34OTtDE5q8.mp4/x34OTtDE5q8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x34OTtDE5q8.mp4/x34OTtDE5q8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x34OTtDE5q8.m3u8/x34OTtDE5q8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x34OTtDE5q8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25675", "sha": "773051960d50e57213f8df9b4af10d5e05f4c55c", "translated_description": "Example problem that pv=pv. Introduction to temperature.", "image_url": "https://img.youtube.com/vi/x34OTtDE5q8/hqdefault.jpg", "youtube_id": "x34OTtDE5q8", "content_kind": "Video", "readable_id": "thermodynamics--part-2"}, {"translated_youtube_id": "HvYUKRMT0VI", "relative_url": "/video/thermodynamics--part-3", "has_questions": false, "keywords": "physics, chemistry, thermodynamics, kelvin, temperature, ideal, gas, law", "ka_url": "http://www.khanacademy.org/video/thermodynamics--part-3", "duration": 624, "translated_title": "Thermodynamics (part 3)", "translated_description_html": "Introduction to Kelvin. Example of a problem involving the ideal gas law", "id": "25677", "description_html": "Introduction to Kelvin. Example of a problem involving the ideal gas law", "title": "Thermodynamics (part 3)", "progress_key": "v25677", "edit_slug": "edit/v/25677", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Kelvin. Example of a problem involving the ideal gas law", "extra_properties": null, "node_slug": "v/thermodynamics--part-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HvYUKRMT0VI.mp4/HvYUKRMT0VI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HvYUKRMT0VI.mp4/HvYUKRMT0VI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HvYUKRMT0VI.m3u8/HvYUKRMT0VI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HvYUKRMT0VI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25677", "sha": "1b0c475b734cd38aef1b6506feba9f50b63c1976", "translated_description": "Introduction to Kelvin. Example of a problem involving the ideal gas law", "image_url": "https://img.youtube.com/vi/HvYUKRMT0VI/hqdefault.jpg", "youtube_id": "HvYUKRMT0VI", "content_kind": "Video", "readable_id": "thermodynamics--part-3"}, {"translated_youtube_id": "5B1i26dUwME", "relative_url": "/video/thermodynamics--part-4", "has_questions": false, "keywords": "mole, PV=nRT, thermodynamics, physics, universal, gas, constant", "ka_url": "http://www.khanacademy.org/video/thermodynamics--part-4", "duration": 614, "translated_title": "Thermodynamics (part 4)", "translated_description_html": "Introduction to the concept of a mole. Universal gas constant R. PV=nRT", "id": "25679", "description_html": "Introduction to the concept of a mole. Universal gas constant R. PV=nRT", "title": "Thermodynamics (part 4)", "progress_key": "v25679", "edit_slug": "edit/v/25679", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the concept of a mole. Universal gas constant R. PV=nRT", "extra_properties": null, "node_slug": "v/thermodynamics--part-4", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5B1i26dUwME.mp4/5B1i26dUwME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5B1i26dUwME.mp4/5B1i26dUwME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5B1i26dUwME.m3u8/5B1i26dUwME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5B1i26dUwME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25679", "sha": "75067ac5814c9198ec458d44550048f5d7f30324", "translated_description": "Introduction to the concept of a mole. Universal gas constant R. PV=nRT", "image_url": "https://img.youtube.com/vi/5B1i26dUwME/hqdefault.jpg", "youtube_id": "5B1i26dUwME", "content_kind": "Video", "readable_id": "thermodynamics--part-4"}, {"translated_youtube_id": "UekR9J31a2o", "relative_url": "/video/thermodynamics--part-5", "has_questions": false, "keywords": "physics, thermodynamics, mole, avogadro's, number", "ka_url": "http://www.khanacademy.org/video/thermodynamics--part-5", "duration": 482, "translated_title": "Thermodynamics (part 5)", "translated_description_html": "Example problem involving PV=nRT", "id": "25681", "description_html": "Example problem involving PV=nRT", "title": "Thermodynamics (part 5)", "progress_key": "v25681", "edit_slug": "edit/v/25681", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example problem involving PV=nRT", "extra_properties": null, "node_slug": "v/thermodynamics--part-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UekR9J31a2o.mp4/UekR9J31a2o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UekR9J31a2o.mp4/UekR9J31a2o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UekR9J31a2o.m3u8/UekR9J31a2o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UekR9J31a2o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25681", "sha": "6f8e6c5dbf0b20dea6eda6c977ec1212aaabb562", "translated_description": "Example problem involving PV=nRT", "image_url": "https://img.youtube.com/vi/UekR9J31a2o/hqdefault.jpg", "youtube_id": "UekR9J31a2o", "content_kind": "Video", "readable_id": "thermodynamics--part-5"}, {"translated_youtube_id": "5EU-y1VF7g4", "relative_url": "/video/macrostates-and-microstates", "has_questions": false, "keywords": "thermodynamics, equilibrium, macrostate", "ka_url": "http://www.khanacademy.org/video/macrostates-and-microstates", "duration": 1109, "translated_title": "Macrostates and microstates", "translated_description_html": "The difference between macrostates and microstates. Thermodynamic equilibrium.", "id": "412024", "description_html": "The difference between macrostates and microstates. Thermodynamic equilibrium.", "title": "Macrostates and microstates", "progress_key": "v412024", "edit_slug": "edit/v/412024", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between macrostates and microstates. Thermodynamic equilibrium.", "extra_properties": null, "node_slug": "v/macrostates-and-microstates", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5EU-y1VF7g4.mp4/5EU-y1VF7g4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5EU-y1VF7g4.mp4/5EU-y1VF7g4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5EU-y1VF7g4.m3u8/5EU-y1VF7g4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5EU-y1VF7g4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v412024", "sha": "ffe8f1854513a0873019e9ec62e0a716461f1f34", "translated_description": "The difference between macrostates and microstates. Thermodynamic equilibrium.", "image_url": "https://img.youtube.com/vi/5EU-y1VF7g4/hqdefault.jpg", "youtube_id": "5EU-y1VF7g4", "content_kind": "Video", "readable_id": "macrostates-and-microstates"}, {"translated_youtube_id": "lKq-10ysDb4", "relative_url": "/video/quasistatic-and-reversible-processes", "has_questions": false, "keywords": "chemistry, thermodynamics, quasistatic, reversible", "ka_url": "http://www.khanacademy.org/video/quasistatic-and-reversible-processes", "duration": 877, "translated_title": "Quasistatic and reversible processes", "translated_description_html": "Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.", "id": "374055", "description_html": "Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.", "title": "Quasistatic and reversible processes", "progress_key": "v374055", "edit_slug": "edit/v/374055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.", "extra_properties": null, "node_slug": "v/quasistatic-and-reversible-processes", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.mp4/lKq-10ysDb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.mp4/lKq-10ysDb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.m3u8/lKq-10ysDb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lKq-10ysDb4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v374055", "sha": "4049c3998e819e5cb46ce2ff9a12a40fdc502746", "translated_description": "Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.", "image_url": "https://img.youtube.com/vi/lKq-10ysDb4/hqdefault.jpg", "youtube_id": "lKq-10ysDb4", "content_kind": "Video", "readable_id": "quasistatic-and-reversible-processes"}, {"translated_youtube_id": "Xb05CaG7TsQ", "relative_url": "/video/first-law-of-thermodynamics--internal-energy", "has_questions": false, "keywords": "chemistry, thermodynamics, internal, energy", "ka_url": "http://www.khanacademy.org/video/first-law-of-thermodynamics--internal-energy", "duration": 1060, "translated_title": "First law of thermodynamics / internal energy", "translated_description_html": "First law of thermodynamic and Internal Energy", "id": "418015", "description_html": "First law of thermodynamic and Internal Energy", "title": "First law of thermodynamics / internal energy", "progress_key": "v418015", "edit_slug": "edit/v/418015", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "First law of thermodynamic and Internal Energy", "extra_properties": null, "node_slug": "v/first-law-of-thermodynamics--internal-energy", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xb05CaG7TsQ.mp4/Xb05CaG7TsQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xb05CaG7TsQ.mp4/Xb05CaG7TsQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xb05CaG7TsQ.m3u8/Xb05CaG7TsQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xb05CaG7TsQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418015", "sha": "35de18b1f2b578949eea76602024c021aa065925", "translated_description": "First law of thermodynamic and Internal Energy", "image_url": "https://img.youtube.com/vi/Xb05CaG7TsQ/hqdefault.jpg", "youtube_id": "Xb05CaG7TsQ", "content_kind": "Video", "readable_id": "first-law-of-thermodynamics--internal-energy"}, {"translated_youtube_id": "aOSlXuDO4UU", "relative_url": "/video/more-on-internal-energy", "has_questions": false, "keywords": "thermodynamics, heat, work, internal, energy", "ka_url": "http://www.khanacademy.org/video/more-on-internal-energy", "duration": 825, "translated_title": "More on internal energy", "translated_description_html": "Getting more intuition of internal energy, heat, and work", "id": "375068", "description_html": "Getting more intuition of internal energy, heat, and work", "title": "More on internal energy", "progress_key": "v375068", "edit_slug": "edit/v/375068", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Getting more intuition of internal energy, heat, and work", "extra_properties": null, "node_slug": "v/more-on-internal-energy", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aOSlXuDO4UU.mp4/aOSlXuDO4UU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aOSlXuDO4UU.mp4/aOSlXuDO4UU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aOSlXuDO4UU.m3u8/aOSlXuDO4UU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aOSlXuDO4UU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v375068", "sha": "d6c32457919faaf116f74d768914cf594318dec8", "translated_description": "Getting more intuition of internal energy, heat, and work", "image_url": "https://img.youtube.com/vi/aOSlXuDO4UU/hqdefault.jpg", "youtube_id": "aOSlXuDO4UU", "content_kind": "Video", "readable_id": "more-on-internal-energy"}, {"translated_youtube_id": "obeGVTOZyfE", "relative_url": "/video/work-from-expansion", "has_questions": false, "keywords": "thermodynamics, heat, work, internal, energy", "ka_url": "http://www.khanacademy.org/video/work-from-expansion", "duration": 763, "translated_title": "Work from expansion", "translated_description_html": "How a system can do work by expanding", "id": "376041", "description_html": "How a system can do work by expanding", "title": "Work from expansion", "progress_key": "v376041", "edit_slug": "edit/v/376041", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How a system can do work by expanding", "extra_properties": null, "node_slug": "v/work-from-expansion", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/obeGVTOZyfE.mp4/obeGVTOZyfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/obeGVTOZyfE.mp4/obeGVTOZyfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/obeGVTOZyfE.m3u8/obeGVTOZyfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=obeGVTOZyfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v376041", "sha": "0ee1a02facdaab3bb3428092c2fc9d65c0c27925", "translated_description": "How a system can do work by expanding", "image_url": "https://img.youtube.com/vi/obeGVTOZyfE/hqdefault.jpg", "youtube_id": "obeGVTOZyfE", "content_kind": "Video", "readable_id": "work-from-expansion"}, {"translated_youtube_id": "M5uOIy-JTmo", "relative_url": "/video/pv-diagrams-and-expansion-work", "has_questions": false, "keywords": "thermodynamics, heat, work, internal, energy", "ka_url": "http://www.khanacademy.org/video/pv-diagrams-and-expansion-work", "duration": 924, "translated_title": "Pv-diagrams and expansion work", "translated_description_html": "Why work from expansion is the area under the curve of a PV-diagram", "id": "424005", "description_html": "Why work from expansion is the area under the curve of a PV-diagram", "title": "Pv-diagrams and expansion work", "progress_key": "v424005", "edit_slug": "edit/v/424005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why work from expansion is the area under the curve of a PV-diagram", "extra_properties": null, "node_slug": "v/pv-diagrams-and-expansion-work", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M5uOIy-JTmo.mp4/M5uOIy-JTmo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M5uOIy-JTmo.mp4/M5uOIy-JTmo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M5uOIy-JTmo.m3u8/M5uOIy-JTmo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M5uOIy-JTmo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v424005", "sha": "af48b92e4fcaae505163a246b0e16942ea5672f5", "translated_description": "Why work from expansion is the area under the curve of a PV-diagram", "image_url": "https://img.youtube.com/vi/M5uOIy-JTmo/hqdefault.jpg", "youtube_id": "M5uOIy-JTmo", "content_kind": "Video", "readable_id": "pv-diagrams-and-expansion-work"}, {"translated_youtube_id": "qSFY7GKhSRs", "relative_url": "/video/proof--u--3-2-pv-or-u--3-2-nrt", "has_questions": false, "keywords": "thermodynamics, heat, work, internal, energy", "ka_url": "http://www.khanacademy.org/video/proof--u--3-2-pv-or-u--3-2-nrt", "duration": 1016, "translated_title": "Proof: U = (3/2)PV or U = (3/2)nRT", "translated_description_html": "Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.", "id": "364065", "description_html": "Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.", "title": "Proof: U = (3/2)PV or U = (3/2)nRT", "progress_key": "v364065", "edit_slug": "edit/v/364065", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.", "extra_properties": null, "node_slug": "v/proof--u--3-2-pv-or-u--3-2-nrt", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qSFY7GKhSRs.mp4/qSFY7GKhSRs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qSFY7GKhSRs.mp4/qSFY7GKhSRs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qSFY7GKhSRs.m3u8/qSFY7GKhSRs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qSFY7GKhSRs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364065", "sha": "eb7287d24bce2f84823324ee00c4f37102853301", "translated_description": "Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.", "image_url": "https://img.youtube.com/vi/qSFY7GKhSRs/hqdefault.jpg", "youtube_id": "qSFY7GKhSRs", "content_kind": "Video", "readable_id": "proof--u--3-2-pv-or-u--3-2-nrt"}, {"translated_youtube_id": "iiFWoXQPOJc", "relative_url": "/video/work-done-by-isothermic-process", "has_questions": false, "keywords": "thermodynamics, heat, work, internal, energy", "ka_url": "http://www.khanacademy.org/video/work-done-by-isothermic-process", "duration": 1143, "translated_title": "Work done by isothermic process", "translated_description_html": "Isothermic and Adiabatic processes. Calculating the work done by an isothermic process. Seeing that it is the same as the heat added.", "id": "391045", "description_html": "Isothermic and Adiabatic processes. Calculating the work done by an isothermic process. Seeing that it is the same as the heat added.", "title": "Work done by isothermic process", "progress_key": "v391045", "edit_slug": "edit/v/391045", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Isothermic and Adiabatic processes. Calculating the work done by an isothermic process. Seeing that it is the same as the heat added.", "extra_properties": null, "node_slug": "v/work-done-by-isothermic-process", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.mp4/iiFWoXQPOJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.mp4/iiFWoXQPOJc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.m3u8/iiFWoXQPOJc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iiFWoXQPOJc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v391045", "sha": "7f489c8d73194f27afc581d7b7c023b961d33f13", "translated_description": "Isothermic and Adiabatic processes. Calculating the work done by an isothermic process. Seeing that it is the same as the heat added.", "image_url": "https://img.youtube.com/vi/iiFWoXQPOJc/hqdefault.jpg", "youtube_id": "iiFWoXQPOJc", "content_kind": "Video", "readable_id": "work-done-by-isothermic-process"}, {"translated_youtube_id": "aAfBSJObd6Y", "relative_url": "/video/carnot-cycle-and-carnot-engine", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/carnot-cycle-and-carnot-engine", "duration": 1253, "translated_title": "Carnot cycle and Carnot engine", "translated_description_html": "

Introduction to the Carnot cycle and Carnot heat engine<\/p>", "id": "431006", "description_html": "

Introduction to the Carnot cycle and Carnot heat engine<\/p>", "title": "Carnot cycle and Carnot engine", "progress_key": "v431006", "edit_slug": "edit/v/431006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Carnot cycle and Carnot heat engine", "extra_properties": {}, "node_slug": "v/carnot-cycle-and-carnot-engine", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aAfBSJObd6Y.mp4/aAfBSJObd6Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aAfBSJObd6Y.mp4/aAfBSJObd6Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aAfBSJObd6Y.m3u8/aAfBSJObd6Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aAfBSJObd6Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v431006", "sha": "d7deb1f95bee83bbff92d564dcabf56532286619", "translated_description": "Introduction to the Carnot cycle and Carnot heat engine", "image_url": "https://img.youtube.com/vi/aAfBSJObd6Y/hqdefault.jpg", "youtube_id": "aAfBSJObd6Y", "content_kind": "Video", "readable_id": "carnot-cycle-and-carnot-engine"}, {"translated_youtube_id": "ixRtSV3CXPA", "relative_url": "/video/proof--volume-ratios-in-a-carnot-cycle", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/proof--volume-ratios-in-a-carnot-cycle", "duration": 1028, "translated_title": "Proof: Volume ratios in a carnot cycle", "translated_description_html": "Proof of the volume ratios in a Carnot Cycle", "id": "426007", "description_html": "Proof of the volume ratios in a Carnot Cycle", "title": "Proof: Volume ratios in a carnot cycle", "progress_key": "v426007", "edit_slug": "edit/v/426007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Proof of the volume ratios in a Carnot Cycle", "extra_properties": null, "node_slug": "v/proof--volume-ratios-in-a-carnot-cycle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ixRtSV3CXPA.mp4/ixRtSV3CXPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ixRtSV3CXPA.mp4/ixRtSV3CXPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ixRtSV3CXPA.m3u8/ixRtSV3CXPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ixRtSV3CXPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v426007", "sha": "c7f96fdb4fec20f40c482435ce6755e316cb1d5b", "translated_description": "Proof of the volume ratios in a Carnot Cycle", "image_url": "https://img.youtube.com/vi/ixRtSV3CXPA/hqdefault.jpg", "youtube_id": "ixRtSV3CXPA", "content_kind": "Video", "readable_id": "proof--volume-ratios-in-a-carnot-cycle"}, {"translated_youtube_id": "sPz5RrFus1Q", "relative_url": "/video/proof--s--or-entropy--is-a-valid-state-variable", "has_questions": false, "keywords": "entropy, internal, energy, heat, thermodynamics", "ka_url": "http://www.khanacademy.org/video/proof--s--or-entropy--is-a-valid-state-variable", "duration": 938, "translated_title": "Proof: S (or entropy) is a valid state variable", "translated_description_html": "Proof that S (or entropy) is a valid state variable.", "id": "421008", "description_html": "Proof that S (or entropy) is a valid state variable.", "title": "Proof: S (or entropy) is a valid state variable", "progress_key": "v421008", "edit_slug": "edit/v/421008", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Proof that S (or entropy) is a valid state variable.", "extra_properties": {"original_url": ""}, "node_slug": "v/proof--s--or-entropy--is-a-valid-state-variable", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sPz5RrFus1Q.mp4/sPz5RrFus1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sPz5RrFus1Q.mp4/sPz5RrFus1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sPz5RrFus1Q.m3u8/sPz5RrFus1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sPz5RrFus1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v421008", "sha": "3fb5c1bcb83f799d94a4fa688abca34be1b1cce4", "translated_description": "Proof that S (or entropy) is a valid state variable.", "image_url": "https://img.youtube.com/vi/sPz5RrFus1Q/hqdefault.jpg", "youtube_id": "sPz5RrFus1Q", "content_kind": "Video", "readable_id": "proof--s--or-entropy--is-a-valid-state-variable"}, {"translated_youtube_id": "PFcGiMLwjeY", "relative_url": "/video/thermodynamic-entropy-definition-clarification", "has_questions": false, "keywords": "thermodynamics, carnot, entropy, maxwell, demon", "ka_url": "http://www.khanacademy.org/video/thermodynamic-entropy-definition-clarification", "duration": 938, "translated_title": "Thermodynamic entropy definition clarification", "translated_description_html": "Clarifying that the thermodynamic definition of Entropy requires a reversible system.", "id": "379050", "description_html": "Clarifying that the thermodynamic definition of Entropy requires a reversible system.", "title": "Thermodynamic entropy definition clarification", "progress_key": "v379050", "edit_slug": "edit/v/379050", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Clarifying that the thermodynamic definition of Entropy requires a reversible system.", "extra_properties": null, "node_slug": "v/thermodynamic-entropy-definition-clarification", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PFcGiMLwjeY.mp4/PFcGiMLwjeY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PFcGiMLwjeY.mp4/PFcGiMLwjeY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PFcGiMLwjeY.m3u8/PFcGiMLwjeY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PFcGiMLwjeY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v379050", "sha": "f7892ac7ff30e66fc5303613a14c5cc5e86da712", "translated_description": "Clarifying that the thermodynamic definition of Entropy requires a reversible system.", "image_url": "https://img.youtube.com/vi/PFcGiMLwjeY/hqdefault.jpg", "youtube_id": "PFcGiMLwjeY", "content_kind": "Video", "readable_id": "thermodynamic-entropy-definition-clarification"}, {"translated_youtube_id": "WLKEVfLFau4", "relative_url": "/video/reconciling-thermodynamic-and-state-definitions-of-entropy", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/reconciling-thermodynamic-and-state-definitions-of-entropy", "duration": 1706, "translated_title": "Reconciling thermodynamic and state definitions of entropy", "translated_description_html": "Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).", "id": "388058", "description_html": "Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).", "title": "Reconciling thermodynamic and state definitions of entropy", "progress_key": "v388058", "edit_slug": "edit/v/388058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).", "extra_properties": null, "node_slug": "v/reconciling-thermodynamic-and-state-definitions-of-entropy", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WLKEVfLFau4.mp4/WLKEVfLFau4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WLKEVfLFau4.mp4/WLKEVfLFau4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WLKEVfLFau4.m3u8/WLKEVfLFau4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WLKEVfLFau4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v388058", "sha": "8c57e74065117125bdd8fa98641dc746a31678b7", "translated_description": "Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).", "image_url": "https://img.youtube.com/vi/WLKEVfLFau4/hqdefault.jpg", "youtube_id": "WLKEVfLFau4", "content_kind": "Video", "readable_id": "reconciling-thermodynamic-and-state-definitions-of-entropy"}, {"translated_youtube_id": "xJf6pHqLzs0", "relative_url": "/video/entropy-intuition", "has_questions": false, "keywords": "entropy, internal, energy, heat, thermodynamics", "ka_url": "http://www.khanacademy.org/video/entropy-intuition", "duration": 1155, "translated_title": "Entropy intuition", "translated_description_html": "A discussion of what entropy is and what it isn't.", "id": "397057", "description_html": "A discussion of what entropy is and what it isn't.", "title": "Entropy intuition", "progress_key": "v397057", "edit_slug": "edit/v/397057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A discussion of what entropy is and what it isn't.", "extra_properties": null, "node_slug": "v/entropy-intuition", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xJf6pHqLzs0.mp4/xJf6pHqLzs0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xJf6pHqLzs0.mp4/xJf6pHqLzs0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xJf6pHqLzs0.m3u8/xJf6pHqLzs0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xJf6pHqLzs0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v397057", "sha": "f95fd07142d7bf82a630ee05ae90098204be7ca9", "translated_description": "A discussion of what entropy is and what it isn't.", "image_url": "https://img.youtube.com/vi/xJf6pHqLzs0/hqdefault.jpg", "youtube_id": "xJf6pHqLzs0", "content_kind": "Video", "readable_id": "entropy-intuition"}, {"translated_youtube_id": "aKRDvSZ-igA", "relative_url": "/video/maxwell-s-demon", "has_questions": false, "keywords": "thermodynamics, carnot, entropy, maxwell, demon", "ka_url": "http://www.khanacademy.org/video/maxwell-s-demon", "duration": 807, "translated_title": "Maxwell's demon", "translated_description_html": "Maxwell's Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics", "id": "370051", "description_html": "Maxwell's Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics", "title": "Maxwell's demon", "progress_key": "v370051", "edit_slug": "edit/v/370051", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Maxwell's Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics", "extra_properties": null, "node_slug": "v/maxwell-s-demon", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aKRDvSZ-igA.mp4/aKRDvSZ-igA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aKRDvSZ-igA.mp4/aKRDvSZ-igA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aKRDvSZ-igA.m3u8/aKRDvSZ-igA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aKRDvSZ-igA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370051", "sha": "a902cc3870a5d0fb0491f8e5c8f4e4c28f9d8b34", "translated_description": "Maxwell's Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics", "image_url": "https://img.youtube.com/vi/aKRDvSZ-igA/hqdefault.jpg", "youtube_id": "aKRDvSZ-igA", "content_kind": "Video", "readable_id": "maxwell-s-demon"}, {"translated_youtube_id": "dFFzAP2OZ3E", "relative_url": "/video/more-on-entropy", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/more-on-entropy", "duration": 536, "translated_title": "More on entropy", "translated_description_html": "More clarification as to what entropy is and what entropy is not.", "id": "371060", "description_html": "More clarification as to what entropy is and what entropy is not.", "title": "More on entropy", "progress_key": "v371060", "edit_slug": "edit/v/371060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More clarification as to what entropy is and what entropy is not.", "extra_properties": null, "node_slug": "v/more-on-entropy", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dFFzAP2OZ3E.mp4/dFFzAP2OZ3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dFFzAP2OZ3E.mp4/dFFzAP2OZ3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dFFzAP2OZ3E.m3u8/dFFzAP2OZ3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dFFzAP2OZ3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v371060", "sha": "a698de2e3fbdf46925c9ef77ea92fbb30180cada", "translated_description": "More clarification as to what entropy is and what entropy is not.", "image_url": "https://img.youtube.com/vi/dFFzAP2OZ3E/hqdefault.jpg", "youtube_id": "dFFzAP2OZ3E", "content_kind": "Video", "readable_id": "more-on-entropy"}, {"translated_youtube_id": "M_5KYncYNyc", "relative_url": "/video/efficiency-of-a-carnot-engine", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/efficiency-of-a-carnot-engine", "duration": 844, "translated_title": "Efficiency of a Carnot engine", "translated_description_html": "Definition of efficiency for a heat engine. Efficiency of a Carnot Engine.", "id": "392046", "description_html": "Definition of efficiency for a heat engine. Efficiency of a Carnot Engine.", "title": "Efficiency of a Carnot engine", "progress_key": "v392046", "edit_slug": "edit/v/392046", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Definition of efficiency for a heat engine. Efficiency of a Carnot Engine.", "extra_properties": null, "node_slug": "v/efficiency-of-a-carnot-engine", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M_5KYncYNyc.mp4/M_5KYncYNyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M_5KYncYNyc.mp4/M_5KYncYNyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M_5KYncYNyc.m3u8/M_5KYncYNyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M_5KYncYNyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v392046", "sha": "2b06064c8bfd7f49218dfa5fb34339dbff24fb4d", "translated_description": "Definition of efficiency for a heat engine. Efficiency of a Carnot Engine.", "image_url": "https://img.youtube.com/vi/M_5KYncYNyc/hqdefault.jpg", "youtube_id": "M_5KYncYNyc", "content_kind": "Video", "readable_id": "efficiency-of-a-carnot-engine"}, {"translated_youtube_id": "pQWwP7YYH6o", "relative_url": "/video/carnot-efficiency-2---reversing-the-cycle", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/carnot-efficiency-2---reversing-the-cycle", "duration": 841, "translated_title": "Carnot efficiency 2: Reversing the cycle", "translated_description_html": "Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)", "id": "429006", "description_html": "Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)", "title": "Carnot efficiency 2: Reversing the cycle", "progress_key": "v429006", "edit_slug": "edit/v/429006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)", "extra_properties": null, "node_slug": "v/carnot-efficiency-2---reversing-the-cycle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pQWwP7YYH6o.mp4/pQWwP7YYH6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pQWwP7YYH6o.mp4/pQWwP7YYH6o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pQWwP7YYH6o.m3u8/pQWwP7YYH6o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pQWwP7YYH6o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v429006", "sha": "190231dc2798a7793ec75f29ec5700e42b2754c8", "translated_description": "Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)", "image_url": "https://img.youtube.com/vi/pQWwP7YYH6o/hqdefault.jpg", "youtube_id": "pQWwP7YYH6o", "content_kind": "Video", "readable_id": "carnot-efficiency-2---reversing-the-cycle"}, {"translated_youtube_id": "LUoUb4hGMH8", "relative_url": "/video/carnot-efficiency-3---proving-that-it-is-the-most-efficient", "has_questions": false, "keywords": "thermodynamics, carnot, entropy", "ka_url": "http://www.khanacademy.org/video/carnot-efficiency-3---proving-that-it-is-the-most-efficient", "duration": 737, "translated_title": "Carnot efficiency 3: Proving that it is the most efficient", "translated_description_html": "Proving that a Carnot Engine is the most efficient engine", "id": "376042", "description_html": "Proving that a Carnot Engine is the most efficient engine", "title": "Carnot efficiency 3: Proving that it is the most efficient", "progress_key": "v376042", "edit_slug": "edit/v/376042", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Proving that a Carnot Engine is the most efficient engine", "extra_properties": null, "node_slug": "v/carnot-efficiency-3---proving-that-it-is-the-most-efficient", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LUoUb4hGMH8.mp4/LUoUb4hGMH8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LUoUb4hGMH8.mp4/LUoUb4hGMH8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LUoUb4hGMH8.m3u8/LUoUb4hGMH8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LUoUb4hGMH8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v376042", "sha": "82b0324e705c5861ae433fd0cbfc0758b9f73c71", "translated_description": "Proving that a Carnot Engine is the most efficient engine", "image_url": "https://img.youtube.com/vi/LUoUb4hGMH8/hqdefault.jpg", "youtube_id": "LUoUb4hGMH8", "content_kind": "Video", "readable_id": "carnot-efficiency-3---proving-that-it-is-the-most-efficient"}, {"translated_youtube_id": "fucyI7Ouj2c", "relative_url": "/video/enthalpy", "has_questions": false, "keywords": "enthalpy, thermodynamics, chemistry", "ka_url": "http://www.khanacademy.org/video/enthalpy", "duration": 907, "translated_title": "Enthalpy", "translated_description_html": "Understanding why enthalpy can be viewed as \"heat content\" in a constant pressure system.", "id": "403032", "description_html": "Understanding why enthalpy can be viewed as \"heat content\" in a constant pressure system.", "title": "Enthalpy", "progress_key": "v403032", "edit_slug": "edit/v/403032", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding why enthalpy can be viewed as \"heat content\" in a constant pressure system.", "extra_properties": null, "node_slug": "v/enthalpy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fucyI7Ouj2c.mp4/fucyI7Ouj2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fucyI7Ouj2c.mp4/fucyI7Ouj2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fucyI7Ouj2c.m3u8/fucyI7Ouj2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fucyI7Ouj2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v403032", "sha": "8dcc7530288bb5cd8bc4bab383546b12d4263811", "translated_description": "Understanding why enthalpy can be viewed as \"heat content\" in a constant pressure system.", "image_url": "https://img.youtube.com/vi/fucyI7Ouj2c/hqdefault.jpg", "youtube_id": "fucyI7Ouj2c", "content_kind": "Video", "readable_id": "enthalpy"}, {"translated_youtube_id": "PK_JXzYcme0", "relative_url": "/video/heat-of-formation", "has_questions": false, "keywords": "chemistry, enthalpy, heat, formation", "ka_url": "http://www.khanacademy.org/video/heat-of-formation", "duration": 755, "translated_title": "Heat of formation", "translated_description_html": "Standard heat of formation or standard enthalpy change of formation.", "id": "414006", "description_html": "Standard heat of formation or standard enthalpy change of formation.", "title": "Heat of formation", "progress_key": "v414006", "edit_slug": "edit/v/414006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Standard heat of formation or standard enthalpy change of formation.", "extra_properties": null, "node_slug": "v/heat-of-formation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PK_JXzYcme0.mp4/PK_JXzYcme0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PK_JXzYcme0.mp4/PK_JXzYcme0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PK_JXzYcme0.m3u8/PK_JXzYcme0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PK_JXzYcme0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v414006", "sha": "5ea9519bbaadc911833018f5df8ae23fdd8d35aa", "translated_description": "Standard heat of formation or standard enthalpy change of formation.", "image_url": "https://img.youtube.com/vi/PK_JXzYcme0/hqdefault.jpg", "youtube_id": "PK_JXzYcme0", "content_kind": "Video", "readable_id": "heat-of-formation"}, {"translated_youtube_id": "chXMpDwjBDk", "relative_url": "/video/hess-s-law-and-reaction-enthalpy-change", "has_questions": false, "keywords": "chemistry, enthalpy, heat, formation, hess", "ka_url": "http://www.khanacademy.org/video/hess-s-law-and-reaction-enthalpy-change", "duration": 940, "translated_title": "Hess's law and reaction enthalpy change", "translated_description_html": "Using Hess's Law and standard heats of formation to determine the enthalpy change for reactions", "id": "412026", "description_html": "Using Hess's Law and standard heats of formation to determine the enthalpy change for reactions", "title": "Hess's law and reaction enthalpy change", "progress_key": "v412026", "edit_slug": "edit/v/412026", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using Hess's Law and standard heats of formation to determine the enthalpy change for reactions", "extra_properties": null, "node_slug": "v/hess-s-law-and-reaction-enthalpy-change", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/chXMpDwjBDk.mp4/chXMpDwjBDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/chXMpDwjBDk.mp4/chXMpDwjBDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/chXMpDwjBDk.m3u8/chXMpDwjBDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=chXMpDwjBDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v412026", "sha": "79bc7d9a99f754c8f91501b5abc60bfa0a32afcd", "translated_description": "Using Hess's Law and standard heats of formation to determine the enthalpy change for reactions", "image_url": "https://img.youtube.com/vi/chXMpDwjBDk/hqdefault.jpg", "youtube_id": "chXMpDwjBDk", "content_kind": "Video", "readable_id": "hess-s-law-and-reaction-enthalpy-change"}, {"translated_youtube_id": "ViAmQivKif0", "relative_url": "/video/gibbs-free-energy-and-spontaneity", "has_questions": false, "keywords": "gibbs, free, energy, chemistry, thermodynamics", "ka_url": "http://www.khanacademy.org/video/gibbs-free-energy-and-spontaneity", "duration": 1060, "translated_title": "Gibbs free energy and spontaneity", "translated_description_html": "Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. Introduction to Gibbs free energy.", "id": "410037", "description_html": "Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. Introduction to Gibbs free energy.", "title": "Gibbs free energy and spontaneity", "progress_key": "v410037", "edit_slug": "edit/v/410037", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. Introduction to Gibbs free energy.", "extra_properties": null, "node_slug": "v/gibbs-free-energy-and-spontaneity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ViAmQivKif0.mp4/ViAmQivKif0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ViAmQivKif0.mp4/ViAmQivKif0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ViAmQivKif0.m3u8/ViAmQivKif0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ViAmQivKif0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v410037", "sha": "7e948f1d3648737fabf0d9da12cffebca8e2a92a", "translated_description": "Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. Introduction to Gibbs free energy.", "image_url": "https://img.youtube.com/vi/ViAmQivKif0/hqdefault.jpg", "youtube_id": "ViAmQivKif0", "content_kind": "Video", "readable_id": "gibbs-free-energy-and-spontaneity"}, {"translated_youtube_id": "sG1ZAdYi13A", "relative_url": "/video/gibbs-free-energy-example", "has_questions": false, "keywords": "gibbs, free, energy, chemistry, thermodynamics", "ka_url": "http://www.khanacademy.org/video/gibbs-free-energy-example", "duration": 597, "translated_title": "Gibbs free energy example", "translated_description_html": "Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.", "id": "368056", "description_html": "Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.", "title": "Gibbs free energy example", "progress_key": "v368056", "edit_slug": "edit/v/368056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.", "extra_properties": null, "node_slug": "v/gibbs-free-energy-example", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sG1ZAdYi13A.mp4/sG1ZAdYi13A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sG1ZAdYi13A.mp4/sG1ZAdYi13A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sG1ZAdYi13A.m3u8/sG1ZAdYi13A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sG1ZAdYi13A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v368056", "sha": "07915498f30ce82680ba7ca01afd64a927892554", "translated_description": "Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.", "image_url": "https://img.youtube.com/vi/sG1ZAdYi13A/hqdefault.jpg", "youtube_id": "sG1ZAdYi13A", "content_kind": "Video", "readable_id": "gibbs-free-energy-example"}, {"translated_youtube_id": "7aur5h44pV4", "relative_url": "/video/more-rigorous-gibbs-free-energy--spontaneity-relationship", "has_questions": false, "keywords": "gibbs, free, energy, chemistry, thermodynamics", "ka_url": "http://www.khanacademy.org/video/more-rigorous-gibbs-free-energy--spontaneity-relationship", "duration": 836, "translated_title": "More rigorous Gibbs free energy / spontaneity relationship", "translated_description_html": "More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.", "id": "389055", "description_html": "More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.", "title": "More rigorous Gibbs free energy / spontaneity relationship", "progress_key": "v389055", "edit_slug": "edit/v/389055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.", "extra_properties": null, "node_slug": "v/more-rigorous-gibbs-free-energy--spontaneity-relationship", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7aur5h44pV4.mp4/7aur5h44pV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7aur5h44pV4.mp4/7aur5h44pV4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7aur5h44pV4.m3u8/7aur5h44pV4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7aur5h44pV4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v389055", "sha": "32013759bc9136d2825f92e7a956d618cbd3ba82", "translated_description": "More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.", "image_url": "https://img.youtube.com/vi/7aur5h44pV4/hqdefault.jpg", "youtube_id": "7aur5h44pV4", "content_kind": "Video", "readable_id": "more-rigorous-gibbs-free-energy--spontaneity-relationship"}, {"translated_youtube_id": "yYbzJs6vgv8", "relative_url": "/video/a-look-at-a-seductive-but-wrong-gibbs-spontaneity-proof", "has_questions": false, "keywords": "gibbs, free, energy, chemistry, thermodynamics", "ka_url": "http://www.khanacademy.org/video/a-look-at-a-seductive-but-wrong-gibbs-spontaneity-proof", "duration": 401, "translated_title": "A look at a seductive but wrong Gibbs/spontaneity proof", "translated_description_html": "A look at why the \"proof\" of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.", "id": "427003", "description_html": "A look at why the \"proof\" of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.", "title": "A look at a seductive but wrong Gibbs/spontaneity proof", "progress_key": "v427003", "edit_slug": "edit/v/427003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A look at why the \"proof\" of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.", "extra_properties": null, "node_slug": "v/a-look-at-a-seductive-but-wrong-gibbs-spontaneity-proof", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yYbzJs6vgv8.mp4/yYbzJs6vgv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yYbzJs6vgv8.mp4/yYbzJs6vgv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yYbzJs6vgv8.m3u8/yYbzJs6vgv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yYbzJs6vgv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v427003", "sha": "077a42e700411c21970e0048ead5324d3361c2d9", "translated_description": "A look at why the \"proof\" of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.", "image_url": "https://img.youtube.com/vi/yYbzJs6vgv8/hqdefault.jpg", "youtube_id": "yYbzJs6vgv8", "content_kind": "Video", "readable_id": "a-look-at-a-seductive-but-wrong-gibbs-spontaneity-proof"}, {"translated_youtube_id": "jFv6k2OV7IU", "relative_url": "/video/stoichiometry-example-problem-1", "has_questions": false, "keywords": "stoichiometry, reactant, product", "ka_url": "http://www.khanacademy.org/video/stoichiometry-example-problem-1", "duration": 815, "translated_title": "Stoichiometry example problem 1", "translated_description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "id": "24648", "description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "title": "Stoichiometry example problem 1", "progress_key": "v24648", "edit_slug": "edit/v/24648", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.m3u8/jFv6k2OV7IU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFv6k2OV7IU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24648", "sha": "ccf9063ba70bb3a537d6379931cb0560eb9dcb19", "translated_description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "image_url": "https://img.youtube.com/vi/jFv6k2OV7IU/hqdefault.jpg", "youtube_id": "jFv6k2OV7IU", "content_kind": "Video", "readable_id": "stoichiometry-example-problem-1"}, {"translated_youtube_id": "eQf_EAYGo-k", "relative_url": "/video/stoichiometry-example-problem-2", "has_questions": false, "keywords": "Stoichiometry, Example, Problem", "ka_url": "http://www.khanacademy.org/video/stoichiometry-example-problem-2", "duration": 1133, "translated_title": "Stoichiometry example problem 2", "translated_description_html": "", "id": "24650", "description_html": "", "title": "Stoichiometry example problem 2", "progress_key": "v24650", "edit_slug": "edit/v/24650", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry-example-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.mp4/eQf_EAYGo-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.mp4/eQf_EAYGo-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.m3u8/eQf_EAYGo-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eQf_EAYGo-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24650", "sha": "9a5d75ccdf093cf85fe096128e2dd7db2446ca9a", "translated_description": "", "image_url": "https://img.youtube.com/vi/eQf_EAYGo-k/hqdefault.jpg", "youtube_id": "eQf_EAYGo-k", "content_kind": "Video", "readable_id": "stoichiometry-example-problem-2"}, {"translated_youtube_id": "YNriRslOk9A", "relative_url": "/video/limiting-reactant-example-problem-1", "has_questions": false, "keywords": "Limiting, Reactant, Example, Problem", "ka_url": "http://www.khanacademy.org/video/limiting-reactant-example-problem-1", "duration": 1160, "translated_title": "Limiting reactant example problem 1", "translated_description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "id": "24652", "description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "title": "Limiting reactant example problem 1", "progress_key": "v24652", "edit_slug": "edit/v/24652", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Limiting Reactant Example Problem 1 \n", "extra_properties": {"original_url": ""}, "node_slug": "v/limiting-reactant-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.m3u8/YNriRslOk9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YNriRslOk9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24652", "sha": "37fe0b2936b134efca8abc7d22bf173fd4d1be36", "translated_description": "Limiting Reactant Example Problem 1 \n", "image_url": "https://img.youtube.com/vi/YNriRslOk9A/hqdefault.jpg", "youtube_id": "YNriRslOk9A", "content_kind": "Video", "readable_id": "limiting-reactant-example-problem-1"}, {"translated_youtube_id": "FycJ8X67xEU", "relative_url": "/video/empirical-and-molecular-formulas-from-stoichiometry", "has_questions": false, "keywords": "Empirical, and, Molecular, Formulas, from, Stoichiometry", "ka_url": "http://www.khanacademy.org/video/empirical-and-molecular-formulas-from-stoichiometry", "duration": 1005, "translated_title": "Empirical and molecular formulas from stoichiometry", "translated_description_html": "Empirical and Molecular Formulas from Stoichiometry", "id": "24654", "description_html": "Empirical and Molecular Formulas from Stoichiometry", "title": "Empirical and molecular formulas from stoichiometry", "progress_key": "v24654", "edit_slug": "edit/v/24654", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Empirical and Molecular Formulas from Stoichiometry", "extra_properties": null, "node_slug": "v/empirical-and-molecular-formulas-from-stoichiometry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FycJ8X67xEU.mp4/FycJ8X67xEU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FycJ8X67xEU.mp4/FycJ8X67xEU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FycJ8X67xEU.m3u8/FycJ8X67xEU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FycJ8X67xEU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24654", "sha": "129a52d7692481468bea6a6d1e615ab9cc953479", "translated_description": "Empirical and Molecular Formulas from Stoichiometry", "image_url": "https://img.youtube.com/vi/FycJ8X67xEU/hqdefault.jpg", "youtube_id": "FycJ8X67xEU", "content_kind": "Video", "readable_id": "empirical-and-molecular-formulas-from-stoichiometry"}, {"translated_youtube_id": "66ziUq6vRko", "relative_url": "/video/example-of-finding-reactant-empirical-formula", "has_questions": false, "keywords": "Example, of, Finding, Reactant, Empirical, Formula", "ka_url": "http://www.khanacademy.org/video/example-of-finding-reactant-empirical-formula", "duration": 1061, "translated_title": "Example of finding reactant empirical formula", "translated_description_html": "Example of Finding Reactant Empirical Formula", "id": "24656", "description_html": "Example of Finding Reactant Empirical Formula", "title": "Example of finding reactant empirical formula", "progress_key": "v24656", "edit_slug": "edit/v/24656", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of Finding Reactant Empirical Formula", "extra_properties": null, "node_slug": "v/example-of-finding-reactant-empirical-formula", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/66ziUq6vRko.mp4/66ziUq6vRko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/66ziUq6vRko.mp4/66ziUq6vRko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/66ziUq6vRko.m3u8/66ziUq6vRko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=66ziUq6vRko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24656", "sha": "cc86b70310fef8c6f6e77f6794c0ca5efd2ebbc8", "translated_description": "Example of Finding Reactant Empirical Formula", "image_url": "https://img.youtube.com/vi/66ziUq6vRko/hqdefault.jpg", "youtube_id": "66ziUq6vRko", "content_kind": "Video", "readable_id": "example-of-finding-reactant-empirical-formula"}, {"translated_youtube_id": "EKZSwjVR594", "relative_url": "/video/stoichiometry-of-a-reaction-in-solution", "has_questions": false, "keywords": "Stoichiometry, of, Reaction, in, Solution", "ka_url": "http://www.khanacademy.org/video/stoichiometry-of-a-reaction-in-solution", "duration": 618, "translated_title": "Stoichiometry of a reaction in solution", "translated_description_html": "Stoichiometry of a Reaction in Solution", "id": "24658", "description_html": "Stoichiometry of a Reaction in Solution", "title": "Stoichiometry of a reaction in solution", "progress_key": "v24658", "edit_slug": "edit/v/24658", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stoichiometry of a Reaction in Solution", "extra_properties": null, "node_slug": "v/stoichiometry-of-a-reaction-in-solution", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EKZSwjVR594.mp4/EKZSwjVR594.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EKZSwjVR594.mp4/EKZSwjVR594.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EKZSwjVR594.m3u8/EKZSwjVR594.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EKZSwjVR594&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24658", "sha": "2908eecbd65d92c9d8bb44ccb8424ae1e0488d96", "translated_description": "Stoichiometry of a Reaction in Solution", "image_url": "https://img.youtube.com/vi/EKZSwjVR594/hqdefault.jpg", "youtube_id": "EKZSwjVR594", "content_kind": "Video", "readable_id": "stoichiometry-of-a-reaction-in-solution"}, {"translated_youtube_id": "_qrQKBB2jt8", "relative_url": "/video/another-stoichiometry-example-in-a-solution", "has_questions": false, "keywords": "stoichiometry, solution, molarity", "ka_url": "http://www.khanacademy.org/video/another-stoichiometry-example-in-a-solution", "duration": 586, "translated_title": "Another stoichiometry example in a solution", "translated_description_html": "Another Stoichiometry Example in a Solution", "id": "24660", "description_html": "Another Stoichiometry Example in a Solution", "title": "Another stoichiometry example in a solution", "progress_key": "v24660", "edit_slug": "edit/v/24660", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another Stoichiometry Example in a Solution", "extra_properties": null, "node_slug": "v/another-stoichiometry-example-in-a-solution", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_qrQKBB2jt8.mp4/_qrQKBB2jt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_qrQKBB2jt8.mp4/_qrQKBB2jt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_qrQKBB2jt8.m3u8/_qrQKBB2jt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_qrQKBB2jt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24660", "sha": "478a27fda76208b6fec71b85d606b6a604884232", "translated_description": "Another Stoichiometry Example in a Solution", "image_url": "https://img.youtube.com/vi/_qrQKBB2jt8/hqdefault.jpg", "youtube_id": "_qrQKBB2jt8", "content_kind": "Video", "readable_id": "another-stoichiometry-example-in-a-solution"}, {"translated_youtube_id": "_H009sTvYE0", "relative_url": "/video/molecular-and-empirical-forumlas-from-percent-composition", "has_questions": false, "keywords": "Molecular, and, Empirical, Forumlas, from, Percent, Composition", "ka_url": "http://www.khanacademy.org/video/molecular-and-empirical-forumlas-from-percent-composition", "duration": 634, "translated_title": "Molecular and empirical forumlas from percent composition", "translated_description_html": "Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book", "id": "4481416", "description_html": "Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book", "title": "Molecular and empirical forumlas from percent composition", "progress_key": "v4481416", "edit_slug": "edit/v/4481416", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book", "extra_properties": null, "node_slug": "v/molecular-and-empirical-forumlas-from-percent-composition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_H009sTvYE0.mp4/_H009sTvYE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_H009sTvYE0.mp4/_H009sTvYE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_H009sTvYE0.m3u8/_H009sTvYE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_H009sTvYE0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4481416", "sha": "3b1b18f778ff8eb251940578dfafd82332839e89", "translated_description": "Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book", "image_url": "https://img.youtube.com/vi/_H009sTvYE0/hqdefault.jpg", "youtube_id": "_H009sTvYE0", "content_kind": "Video", "readable_id": "molecular-and-empirical-forumlas-from-percent-composition"}, {"translated_youtube_id": "8bCL8TQZFKo", "relative_url": "/video/hess-s-law-example", "has_questions": false, "keywords": "Hess's, Law, Example", "ka_url": "http://www.khanacademy.org/video/hess-s-law-example", "duration": 728, "translated_title": "Hess's law example", "translated_description_html": "Hess's Law Example", "id": "6022728", "description_html": "Hess's Law Example", "title": "Hess's law example", "progress_key": "v6022728", "edit_slug": "edit/v/6022728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hess's Law Example", "extra_properties": null, "node_slug": "v/hess-s-law-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:36:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8bCL8TQZFKo.mp4/8bCL8TQZFKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8bCL8TQZFKo.mp4/8bCL8TQZFKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8bCL8TQZFKo.m3u8/8bCL8TQZFKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8bCL8TQZFKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022728", "sha": "6127e1fcccd9d1aa4bb60c24868950e1c562b81a", "translated_description": "Hess's Law Example", "image_url": "https://img.youtube.com/vi/8bCL8TQZFKo/hqdefault.jpg", "youtube_id": "8bCL8TQZFKo", "content_kind": "Video", "readable_id": "hess-s-law-example"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "thermodynamics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axacf207fb", "topic_page_url": "/science/physics/thermodynamics", "extended_slug": "science/physics/thermodynamics", "slug": "thermodynamics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6951d7de27338b2a11f3f8f78842a3d3b87b6806", "standalone_title": "Thermodynamics", "y_pos": 0.0, "current_revision_key": "6951d7de27338b2a11f3f8f78842a3d3b87b6806", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/electricity-and-magnetism", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/electricity-and-magnetism", "translated_standalone_title": "Electricity and magnetism", "translated_title": "Electricity and magnetism", "gplus_url": "", "id": "x72fdbf87", "old_key_name": "REq_xUwnLdZphxDqALKrsafxq5kO7wz7Fhkbh9Gp", "hide": false, "title": "Electricity and magnetism", "child_data": [{"kind": "Video", "id": 25683}, {"kind": "Video", "id": 25685}, {"kind": "Video", "id": 25687}, {"kind": "Video", "id": 25689}, {"kind": "Video", "id": 25691}, {"kind": "Video", "id": 25693}, {"kind": "Video", "id": 25695}, {"kind": "Video", "id": 25697}, {"kind": "Video", "id": 25699}, {"kind": "Video", "id": 25701}, {"kind": "Video", "id": 25703}, {"kind": "Video", "id": 25705}, {"kind": "Video", "id": 25707}, {"kind": "Video", "id": 25709}, {"kind": "Video", "id": 25711}, {"kind": "Video", "id": 25713}, {"kind": "Video", "id": 25715}, {"kind": "Video", "id": 25717}, {"kind": "Video", "id": 25719}, {"kind": "Video", "id": 25721}, {"kind": "Video", "id": 25723}, {"kind": "Video", "id": 25725}, {"kind": "Video", "id": 25727}, {"kind": "Video", "id": 25729}, {"kind": "Video", "id": 25731}, {"kind": "Video", "id": 25733}, {"kind": "Video", "id": 25735}, {"kind": "Video", "id": 25737}, {"kind": "Video", "id": 25739}, {"kind": "Video", "id": 25741}], "children": [{"translated_youtube_id": "NXMgvrS8Gr8", "relative_url": "/video/electrostatics--part-1---introduction-to-charge-and-coulomb-s-law", "has_questions": false, "keywords": "charge, coulomb's, law, electrostatics", "ka_url": "http://www.khanacademy.org/video/electrostatics--part-1---introduction-to-charge-and-coulomb-s-law", "duration": 842, "translated_title": "Electrostatics (part 1): Introduction to charge and Coulomb's law", "translated_description_html": "Introduction to Charge and Coulomb's Law (video from May 2008 that I forgot to upload)", "id": "25683", "description_html": "Introduction to Charge and Coulomb's Law (video from May 2008 that I forgot to upload)", "title": "Electrostatics (part 1): Introduction to charge and Coulomb's law", "progress_key": "v25683", "edit_slug": "edit/v/25683", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Charge and Coulomb's Law (video from May 2008 that I forgot to upload)", "extra_properties": null, "node_slug": "v/electrostatics--part-1---introduction-to-charge-and-coulomb-s-law", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NXMgvrS8Gr8.mp4/NXMgvrS8Gr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NXMgvrS8Gr8.mp4/NXMgvrS8Gr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NXMgvrS8Gr8.m3u8/NXMgvrS8Gr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NXMgvrS8Gr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25683", "sha": "61b135da8db3dfa61d2e88edc6e2fe8ceb134754", "translated_description": "Introduction to Charge and Coulomb's Law (video from May 2008 that I forgot to upload)", "image_url": "https://img.youtube.com/vi/NXMgvrS8Gr8/hqdefault.jpg", "youtube_id": "NXMgvrS8Gr8", "content_kind": "Video", "readable_id": "electrostatics--part-1---introduction-to-charge-and-coulomb-s-law"}, {"translated_youtube_id": "0YOGrTNgGhE", "relative_url": "/video/electrostatics--part-2", "has_questions": false, "keywords": "Electric, field, coulomb, physics", "ka_url": "http://www.khanacademy.org/video/electrostatics--part-2", "duration": 812, "translated_title": "Electrostatics (part 2)", "translated_description_html": "Electric Fields", "id": "25685", "description_html": "Electric Fields", "title": "Electrostatics (part 2)", "progress_key": "v25685", "edit_slug": "edit/v/25685", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Electric Fields", "extra_properties": null, "node_slug": "v/electrostatics--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0YOGrTNgGhE.mp4/0YOGrTNgGhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0YOGrTNgGhE.mp4/0YOGrTNgGhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0YOGrTNgGhE.m3u8/0YOGrTNgGhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0YOGrTNgGhE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25685", "sha": "f34d1af86c22d074a63b2645c67a654154787998", "translated_description": "Electric Fields", "image_url": "https://img.youtube.com/vi/0YOGrTNgGhE/hqdefault.jpg", "youtube_id": "0YOGrTNgGhE", "content_kind": "Video", "readable_id": "electrostatics--part-2"}, {"translated_youtube_id": "prLfVucoxpw", "relative_url": "/video/proof--advanced---field-from-infinite-plate--part-1", "has_questions": false, "keywords": "uniform, constant, electric, field, physics", "ka_url": "http://www.khanacademy.org/video/proof--advanced---field-from-infinite-plate--part-1", "duration": 807, "translated_title": "Proof (advanced): Field from infinite plate (part 1)", "translated_description_html": "Electric field generated by a uniformly charged, infinite plate", "id": "25687", "description_html": "Electric field generated by a uniformly charged, infinite plate", "title": "Proof (advanced): Field from infinite plate (part 1)", "progress_key": "v25687", "edit_slug": "edit/v/25687", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Electric field generated by a uniformly charged, infinite plate", "extra_properties": null, "node_slug": "v/proof--advanced---field-from-infinite-plate--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/prLfVucoxpw.mp4/prLfVucoxpw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/prLfVucoxpw.mp4/prLfVucoxpw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/prLfVucoxpw.m3u8/prLfVucoxpw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=prLfVucoxpw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25687", "sha": "636121d7d5900595a29053739f81efaa15e784af", "translated_description": "Electric field generated by a uniformly charged, infinite plate", "image_url": "https://img.youtube.com/vi/prLfVucoxpw/hqdefault.jpg", "youtube_id": "prLfVucoxpw", "content_kind": "Video", "readable_id": "proof--advanced---field-from-infinite-plate--part-1"}, {"translated_youtube_id": "TxwE4_dXo8s", "relative_url": "/video/proof--advanced---field-from-infinite-plate--part-2", "has_questions": false, "keywords": "uniform, constant, electric, field, plate, charged", "ka_url": "http://www.khanacademy.org/video/proof--advanced---field-from-infinite-plate--part-2", "duration": 688, "translated_title": "Proof (advanced): Field from infinite plate (part 2)", "translated_description_html": "We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)", "id": "25689", "description_html": "We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)", "title": "Proof (advanced): Field from infinite plate (part 2)", "progress_key": "v25689", "edit_slug": "edit/v/25689", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)", "extra_properties": null, "node_slug": "v/proof--advanced---field-from-infinite-plate--part-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TxwE4_dXo8s.mp4/TxwE4_dXo8s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TxwE4_dXo8s.mp4/TxwE4_dXo8s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TxwE4_dXo8s.m3u8/TxwE4_dXo8s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TxwE4_dXo8s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25689", "sha": "da5cd2cd2903d3f36ec045dafde5cc6016549cc1", "translated_description": "We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)", "image_url": "https://img.youtube.com/vi/TxwE4_dXo8s/hqdefault.jpg", "youtube_id": "TxwE4_dXo8s", "content_kind": "Video", "readable_id": "proof--advanced---field-from-infinite-plate--part-2"}, {"translated_youtube_id": "elJUghWSVh4", "relative_url": "/video/electric-potential-energy", "has_questions": false, "keywords": "electric, potential, energy", "ka_url": "http://www.khanacademy.org/video/electric-potential-energy", "duration": 757, "translated_title": "Electric potential energy", "translated_description_html": "Introduction to electric potential", "id": "25691", "description_html": "Introduction to electric potential", "title": "Electric potential energy", "progress_key": "v25691", "edit_slug": "edit/v/25691", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to electric potential", "extra_properties": null, "node_slug": "v/electric-potential-energy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/elJUghWSVh4.mp4/elJUghWSVh4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/elJUghWSVh4.mp4/elJUghWSVh4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/elJUghWSVh4.m3u8/elJUghWSVh4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=elJUghWSVh4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25691", "sha": "a1170356ce948b26a8a115b0037106324a4a67e6", "translated_description": "Introduction to electric potential", "image_url": "https://img.youtube.com/vi/elJUghWSVh4/hqdefault.jpg", "youtube_id": "elJUghWSVh4", "content_kind": "Video", "readable_id": "electric-potential-energy"}, {"translated_youtube_id": "CqsYCIjSm9A", "relative_url": "/video/electric-potential-energy--part-2---involves-calculus", "has_questions": false, "keywords": "electric, potential, energy", "ka_url": "http://www.khanacademy.org/video/electric-potential-energy--part-2---involves-calculus", "duration": 590, "translated_title": "Electric potential energy (part 2-- involves calculus)", "translated_description_html": "Electric potential energy difference in a varying field", "id": "25693", "description_html": "Electric potential energy difference in a varying field", "title": "Electric potential energy (part 2-- involves calculus)", "progress_key": "v25693", "edit_slug": "edit/v/25693", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Electric potential energy difference in a varying field", "extra_properties": null, "node_slug": "v/electric-potential-energy--part-2---involves-calculus", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CqsYCIjSm9A.mp4/CqsYCIjSm9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CqsYCIjSm9A.mp4/CqsYCIjSm9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CqsYCIjSm9A.m3u8/CqsYCIjSm9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CqsYCIjSm9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25693", "sha": "2870ad28e7815deb7e67e03891ce6c2ca6bb06a4", "translated_description": "Electric potential energy difference in a varying field", "image_url": "https://img.youtube.com/vi/CqsYCIjSm9A/hqdefault.jpg", "youtube_id": "CqsYCIjSm9A", "content_kind": "Video", "readable_id": "electric-potential-energy--part-2---involves-calculus"}, {"translated_youtube_id": "zqGvUbvVQXg", "relative_url": "/video/voltage", "has_questions": false, "keywords": "volts, voltage", "ka_url": "http://www.khanacademy.org/video/voltage", "duration": 535, "translated_title": "Voltage", "translated_description_html": "Difference between electrical potential (voltage) and electrical potential energy", "id": "25695", "description_html": "Difference between electrical potential (voltage) and electrical potential energy", "title": "Voltage", "progress_key": "v25695", "edit_slug": "edit/v/25695", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference between electrical potential (voltage) and electrical potential energy", "extra_properties": null, "node_slug": "v/voltage", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zqGvUbvVQXg.mp4/zqGvUbvVQXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zqGvUbvVQXg.mp4/zqGvUbvVQXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zqGvUbvVQXg.m3u8/zqGvUbvVQXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zqGvUbvVQXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25695", "sha": "fd8262c415fc95fe73473378929654475772faf0", "translated_description": "Difference between electrical potential (voltage) and electrical potential energy", "image_url": "https://img.youtube.com/vi/zqGvUbvVQXg/hqdefault.jpg", "youtube_id": "zqGvUbvVQXg", "content_kind": "Video", "readable_id": "voltage"}, {"translated_youtube_id": "ngOC4eUQl8Y", "relative_url": "/video/capacitance", "has_questions": false, "keywords": "capacitance, capacitor, farad", "ka_url": "http://www.khanacademy.org/video/capacitance", "duration": 815, "translated_title": "Capacitance", "translated_description_html": "

Introduction to the capacitance of a two place capacitor. <\/span><\/p>\n", "id": "25697", "description_html": "

Introduction to the capacitance of a two place capacitor. <\/span><\/p>\n", "title": "Capacitance", "progress_key": "v25697", "edit_slug": "edit/v/25697", "author_names": ["David SantoPietro"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the capacitance of a two place capacitor. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/capacitance", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:50:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.mp4/ngOC4eUQl8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.mp4/ngOC4eUQl8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.m3u8/ngOC4eUQl8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ngOC4eUQl8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25697", "sha": "f4d1a1e41c0c3d799649b17d8181f018b2a1c62a", "translated_description": "Introduction to the capacitance of a two place capacitor. \n", "image_url": "https://img.youtube.com/vi/ngOC4eUQl8Y/hqdefault.jpg", "youtube_id": "ngOC4eUQl8Y", "content_kind": "Video", "readable_id": "capacitance"}, {"translated_youtube_id": "3o8_EARoMtg", "relative_url": "/video/circuits--part-1", "has_questions": false, "keywords": "circuits, current, resistance, amps", "ka_url": "http://www.khanacademy.org/video/circuits--part-1", "duration": 700, "translated_title": "Circuits (part 1)", "translated_description_html": "Introduction to electricity, circuits, current and resistance", "id": "25699", "description_html": "Introduction to electricity, circuits, current and resistance", "title": "Circuits (part 1)", "progress_key": "v25699", "edit_slug": "edit/v/25699", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to electricity, circuits, current and resistance", "extra_properties": null, "node_slug": "v/circuits--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3o8_EARoMtg.mp4/3o8_EARoMtg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3o8_EARoMtg.mp4/3o8_EARoMtg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3o8_EARoMtg.m3u8/3o8_EARoMtg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3o8_EARoMtg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25699", "sha": "622d940626997941cdf77639b09628fd85d3a680", "translated_description": "Introduction to electricity, circuits, current and resistance", "image_url": "https://img.youtube.com/vi/3o8_EARoMtg/hqdefault.jpg", "youtube_id": "3o8_EARoMtg", "content_kind": "Video", "readable_id": "circuits--part-1"}, {"translated_youtube_id": "7vHh1sfZ5KE", "relative_url": "/video/circuits--part-2", "has_questions": false, "keywords": "series, resistors", "ka_url": "http://www.khanacademy.org/video/circuits--part-2", "duration": 668, "translated_title": "Circuits (part 2)", "translated_description_html": "Resistors in series", "id": "25701", "description_html": "Resistors in series", "title": "Circuits (part 2)", "progress_key": "v25701", "edit_slug": "edit/v/25701", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Resistors in series", "extra_properties": null, "node_slug": "v/circuits--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.mp4/7vHh1sfZ5KE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.mp4/7vHh1sfZ5KE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.m3u8/7vHh1sfZ5KE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7vHh1sfZ5KE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25701", "sha": "107bff03d9b0bbce07c1fe3e188a1b71679925c6", "translated_description": "Resistors in series", "image_url": "https://img.youtube.com/vi/7vHh1sfZ5KE/hqdefault.jpg", "youtube_id": "7vHh1sfZ5KE", "content_kind": "Video", "readable_id": "circuits--part-2"}, {"translated_youtube_id": "ZrMw7P6P2Gw", "relative_url": "/video/circuits--part-3", "has_questions": false, "keywords": "parallel, resistors", "ka_url": "http://www.khanacademy.org/video/circuits--part-3", "duration": 740, "translated_title": "Circuits (part 3)", "translated_description_html": "Resistors in parallel", "id": "25703", "description_html": "Resistors in parallel", "title": "Circuits (part 3)", "progress_key": "v25703", "edit_slug": "edit/v/25703", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Resistors in parallel", "extra_properties": null, "node_slug": "v/circuits--part-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZrMw7P6P2Gw.mp4/ZrMw7P6P2Gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZrMw7P6P2Gw.mp4/ZrMw7P6P2Gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZrMw7P6P2Gw.m3u8/ZrMw7P6P2Gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZrMw7P6P2Gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25703", "sha": "7ddd81d2ff804b43103841b3c9cf3e346f030adc", "translated_description": "Resistors in parallel", "image_url": "https://img.youtube.com/vi/ZrMw7P6P2Gw/hqdefault.jpg", "youtube_id": "ZrMw7P6P2Gw", "content_kind": "Video", "readable_id": "circuits--part-3"}, {"translated_youtube_id": "3NcIK0s3IwU", "relative_url": "/video/circuits--part-4", "has_questions": false, "keywords": "resistance, circuit", "ka_url": "http://www.khanacademy.org/video/circuits--part-4", "duration": 427, "translated_title": "Circuits (part 4)", "translated_description_html": "A hairy resistance problem", "id": "25705", "description_html": "A hairy resistance problem", "title": "Circuits (part 4)", "progress_key": "v25705", "edit_slug": "edit/v/25705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A hairy resistance problem", "extra_properties": null, "node_slug": "v/circuits--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3NcIK0s3IwU.mp4/3NcIK0s3IwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3NcIK0s3IwU.mp4/3NcIK0s3IwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3NcIK0s3IwU.m3u8/3NcIK0s3IwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3NcIK0s3IwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25705", "sha": "95b41aaf21f319a5e831fa3613f47def82f29dad", "translated_description": "A hairy resistance problem", "image_url": "https://img.youtube.com/vi/3NcIK0s3IwU/hqdefault.jpg", "youtube_id": "3NcIK0s3IwU", "content_kind": "Video", "readable_id": "circuits--part-4"}, {"translated_youtube_id": "zA0fvwtvgvA", "relative_url": "/video/cross-product-1", "has_questions": false, "keywords": "vector, cross, product", "ka_url": "http://www.khanacademy.org/video/cross-product-1", "duration": 602, "translated_title": "Cross product 1", "translated_description_html": "Introduction to the cross product", "id": "25707", "description_html": "Introduction to the cross product", "title": "Cross product 1", "progress_key": "v25707", "edit_slug": "edit/v/25707", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the cross product", "extra_properties": null, "node_slug": "v/cross-product-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zA0fvwtvgvA.mp4/zA0fvwtvgvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zA0fvwtvgvA.mp4/zA0fvwtvgvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zA0fvwtvgvA.m3u8/zA0fvwtvgvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zA0fvwtvgvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25707", "sha": "efad62eb2e7889eae2bde3de918c07ac886dd7c3", "translated_description": "Introduction to the cross product", "image_url": "https://img.youtube.com/vi/zA0fvwtvgvA/hqdefault.jpg", "youtube_id": "zA0fvwtvgvA", "content_kind": "Video", "readable_id": "cross-product-1"}, {"translated_youtube_id": "o_puKe_lTKk", "relative_url": "/video/cross-product-2", "has_questions": false, "keywords": "vector, cross, product", "ka_url": "http://www.khanacademy.org/video/cross-product-2", "duration": 653, "translated_title": "Cross product 2", "translated_description_html": "A little more intuition on the cross product.", "id": "25709", "description_html": "A little more intuition on the cross product.", "title": "Cross product 2", "progress_key": "v25709", "edit_slug": "edit/v/25709", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little more intuition on the cross product.", "extra_properties": null, "node_slug": "v/cross-product-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_puKe_lTKk.mp4/o_puKe_lTKk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_puKe_lTKk.mp4/o_puKe_lTKk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_puKe_lTKk.m3u8/o_puKe_lTKk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_puKe_lTKk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25709", "sha": "275070cbb3e4e262c01573cde4701743cf736d5e", "translated_description": "A little more intuition on the cross product.", "image_url": "https://img.youtube.com/vi/o_puKe_lTKk/hqdefault.jpg", "youtube_id": "o_puKe_lTKk", "content_kind": "Video", "readable_id": "cross-product-2"}, {"translated_youtube_id": "s38l6nmTrvM", "relative_url": "/video/cross-product-and-torque", "has_questions": false, "keywords": "vector, cross, product, torque", "ka_url": "http://www.khanacademy.org/video/cross-product-and-torque", "duration": 600, "translated_title": "Cross product and torque", "translated_description_html": "The cross product and the direction of torque.", "id": "25711", "description_html": "The cross product and the direction of torque.", "title": "Cross product and torque", "progress_key": "v25711", "edit_slug": "edit/v/25711", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The cross product and the direction of torque.", "extra_properties": null, "node_slug": "v/cross-product-and-torque", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.mp4/s38l6nmTrvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.mp4/s38l6nmTrvM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.m3u8/s38l6nmTrvM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s38l6nmTrvM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25711", "sha": "ebde7f1ccaaa00ce1b9d660a14fc46413cb6b93d", "translated_description": "The cross product and the direction of torque.", "image_url": "https://img.youtube.com/vi/s38l6nmTrvM/hqdefault.jpg", "youtube_id": "s38l6nmTrvM", "content_kind": "Video", "readable_id": "cross-product-and-torque"}, {"translated_youtube_id": "8Y4JSp5U82I", "relative_url": "/video/introduction-to-magnetism", "has_questions": false, "keywords": "physics, magnetism, magnet", "ka_url": "http://www.khanacademy.org/video/introduction-to-magnetism", "duration": 644, "translated_title": "Introduction to magnetism", "translated_description_html": "An introduction to magnetism", "id": "25713", "description_html": "An introduction to magnetism", "title": "Introduction to magnetism", "progress_key": "v25713", "edit_slug": "edit/v/25713", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to magnetism", "extra_properties": null, "node_slug": "v/introduction-to-magnetism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Y4JSp5U82I.mp4/8Y4JSp5U82I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Y4JSp5U82I.mp4/8Y4JSp5U82I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8Y4JSp5U82I.m3u8/8Y4JSp5U82I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8Y4JSp5U82I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25713", "sha": "490d29c6638ce400955300eec3dcddfb8fb9871a", "translated_description": "An introduction to magnetism", "image_url": "https://img.youtube.com/vi/8Y4JSp5U82I/hqdefault.jpg", "youtube_id": "8Y4JSp5U82I", "content_kind": "Video", "readable_id": "introduction-to-magnetism"}, {"translated_youtube_id": "NnlAI4ZiUrQ", "relative_url": "/video/magnetism-2", "has_questions": false, "keywords": "physics, magnetic, field, cross, product", "ka_url": "http://www.khanacademy.org/video/magnetism-2", "duration": 538, "translated_title": "Magnetism 2", "translated_description_html": "Magnetic fields and their effects on moving electrical charges", "id": "25715", "description_html": "Magnetic fields and their effects on moving electrical charges", "title": "Magnetism 2", "progress_key": "v25715", "edit_slug": "edit/v/25715", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Magnetic fields and their effects on moving electrical charges", "extra_properties": null, "node_slug": "v/magnetism-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NnlAI4ZiUrQ.mp4/NnlAI4ZiUrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NnlAI4ZiUrQ.mp4/NnlAI4ZiUrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NnlAI4ZiUrQ.m3u8/NnlAI4ZiUrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NnlAI4ZiUrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25715", "sha": "1d67af07100eaf9dcc7f0fc8baab46b46611a1d3", "translated_description": "Magnetic fields and their effects on moving electrical charges", "image_url": "https://img.youtube.com/vi/NnlAI4ZiUrQ/hqdefault.jpg", "youtube_id": "NnlAI4ZiUrQ", "content_kind": "Video", "readable_id": "magnetism-2"}, {"translated_youtube_id": "LTuGQy4rmmo", "relative_url": "/video/magnetism-3", "has_questions": false, "keywords": "physics, magnetic, field, cross, product", "ka_url": "http://www.khanacademy.org/video/magnetism-3", "duration": 647, "translated_title": "Magnetism 3", "translated_description_html": "Whats happens when a speeding proton goes through a magnetic field", "id": "25717", "description_html": "Whats happens when a speeding proton goes through a magnetic field", "title": "Magnetism 3", "progress_key": "v25717", "edit_slug": "edit/v/25717", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Whats happens when a speeding proton goes through a magnetic field", "extra_properties": null, "node_slug": "v/magnetism-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LTuGQy4rmmo.mp4/LTuGQy4rmmo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LTuGQy4rmmo.mp4/LTuGQy4rmmo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LTuGQy4rmmo.m3u8/LTuGQy4rmmo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LTuGQy4rmmo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25717", "sha": "ccec7f0a1f1b07873ced99ba0c9878d6ed6de409", "translated_description": "Whats happens when a speeding proton goes through a magnetic field", "image_url": "https://img.youtube.com/vi/LTuGQy4rmmo/hqdefault.jpg", "youtube_id": "LTuGQy4rmmo", "content_kind": "Video", "readable_id": "magnetism-3"}, {"translated_youtube_id": "b1QFKLZC11U", "relative_url": "/video/magnetism-4", "has_questions": false, "keywords": "physics, magnetism", "ka_url": "http://www.khanacademy.org/video/magnetism-4", "duration": 639, "translated_title": "Magnetism 4", "translated_description_html": "Part 2 of the proton through a magnetic field problem", "id": "25719", "description_html": "Part 2 of the proton through a magnetic field problem", "title": "Magnetism 4", "progress_key": "v25719", "edit_slug": "edit/v/25719", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 2 of the proton through a magnetic field problem", "extra_properties": null, "node_slug": "v/magnetism-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b1QFKLZC11U.mp4/b1QFKLZC11U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b1QFKLZC11U.mp4/b1QFKLZC11U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b1QFKLZC11U.m3u8/b1QFKLZC11U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b1QFKLZC11U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25719", "sha": "44ab434662b7ba95d81ec8c7c2bb9800aa666995", "translated_description": "Part 2 of the proton through a magnetic field problem", "image_url": "https://img.youtube.com/vi/b1QFKLZC11U/hqdefault.jpg", "youtube_id": "b1QFKLZC11U", "content_kind": "Video", "readable_id": "magnetism-4"}, {"translated_youtube_id": "jQ2nD8ZGeEw", "relative_url": "/video/magnetism-5", "has_questions": false, "keywords": "magnetic, force, current, field", "ka_url": "http://www.khanacademy.org/video/magnetism-5", "duration": 655, "translated_title": "Magnetism 5", "translated_description_html": "Magnetic force on a wire carrying current.", "id": "25721", "description_html": "Magnetic force on a wire carrying current.", "title": "Magnetism 5", "progress_key": "v25721", "edit_slug": "edit/v/25721", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Magnetic force on a wire carrying current.", "extra_properties": null, "node_slug": "v/magnetism-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQ2nD8ZGeEw.mp4/jQ2nD8ZGeEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQ2nD8ZGeEw.mp4/jQ2nD8ZGeEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQ2nD8ZGeEw.m3u8/jQ2nD8ZGeEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQ2nD8ZGeEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25721", "sha": "3b48777931de0e8ac7d8ed71119ce04c8306d504", "translated_description": "Magnetic force on a wire carrying current.", "image_url": "https://img.youtube.com/vi/jQ2nD8ZGeEw/hqdefault.jpg", "youtube_id": "jQ2nD8ZGeEw", "content_kind": "Video", "readable_id": "magnetism-5"}, {"translated_youtube_id": "Ri557hvwhcM", "relative_url": "/video/magnetism-6--magnetic-field-due-to-current", "has_questions": false, "keywords": "physics, current, magnetic, field", "ka_url": "http://www.khanacademy.org/video/magnetism-6--magnetic-field-due-to-current", "duration": 582, "translated_title": "Magnetism 6: Magnetic field due to current", "translated_description_html": "See how a wire carrying a current creates a magnetic field.", "id": "25723", "description_html": "See how a wire carrying a current creates a magnetic field.", "title": "Magnetism 6: Magnetic field due to current", "progress_key": "v25723", "edit_slug": "edit/v/25723", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how a wire carrying a current creates a magnetic field.", "extra_properties": null, "node_slug": "v/magnetism-6--magnetic-field-due-to-current", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ri557hvwhcM.mp4/Ri557hvwhcM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ri557hvwhcM.mp4/Ri557hvwhcM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ri557hvwhcM.m3u8/Ri557hvwhcM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ri557hvwhcM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25723", "sha": "41510aa268f19c47134d10ec8a05d43d147b4f25", "translated_description": "See how a wire carrying a current creates a magnetic field.", "image_url": "https://img.youtube.com/vi/Ri557hvwhcM/hqdefault.jpg", "youtube_id": "Ri557hvwhcM", "content_kind": "Video", "readable_id": "magnetism-6--magnetic-field-due-to-current"}, {"translated_youtube_id": "l3hw0twZSCc", "relative_url": "/video/magnetism-7", "has_questions": false, "keywords": "physics, magnetism, current", "ka_url": "http://www.khanacademy.org/video/magnetism-7", "duration": 660, "translated_title": "Magnetism 7", "translated_description_html": "The magnetic force that two current-carrying wires exert on each other.", "id": "25725", "description_html": "The magnetic force that two current-carrying wires exert on each other.", "title": "Magnetism 7", "progress_key": "v25725", "edit_slug": "edit/v/25725", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The magnetic force that two current-carrying wires exert on each other.", "extra_properties": null, "node_slug": "v/magnetism-7", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l3hw0twZSCc.mp4/l3hw0twZSCc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l3hw0twZSCc.mp4/l3hw0twZSCc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l3hw0twZSCc.m3u8/l3hw0twZSCc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l3hw0twZSCc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25725", "sha": "dd021674024925fa32d639e9f1abd5431e77335c", "translated_description": "The magnetic force that two current-carrying wires exert on each other.", "image_url": "https://img.youtube.com/vi/l3hw0twZSCc/hqdefault.jpg", "youtube_id": "l3hw0twZSCc", "content_kind": "Video", "readable_id": "magnetism-7"}, {"translated_youtube_id": "4tctB1wZNiI", "relative_url": "/video/magnetism-8", "has_questions": false, "keywords": "physics, current, magnetic, field", "ka_url": "http://www.khanacademy.org/video/magnetism-8", "duration": 661, "translated_title": "Magnetism 8", "translated_description_html": "More on the forces exerted by 2 current carrying wires on each other.", "id": "25727", "description_html": "More on the forces exerted by 2 current carrying wires on each other.", "title": "Magnetism 8", "progress_key": "v25727", "edit_slug": "edit/v/25727", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the forces exerted by 2 current carrying wires on each other.", "extra_properties": null, "node_slug": "v/magnetism-8", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4tctB1wZNiI.mp4/4tctB1wZNiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4tctB1wZNiI.mp4/4tctB1wZNiI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4tctB1wZNiI.m3u8/4tctB1wZNiI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4tctB1wZNiI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25727", "sha": "9766202862adc9a4dff1e1ac3991e8445817e81d", "translated_description": "More on the forces exerted by 2 current carrying wires on each other.", "image_url": "https://img.youtube.com/vi/4tctB1wZNiI/hqdefault.jpg", "youtube_id": "4tctB1wZNiI", "content_kind": "Video", "readable_id": "magnetism-8"}, {"translated_youtube_id": "pAgPfr7MkkU", "relative_url": "/video/magnetism-9--electric-motors", "has_questions": false, "keywords": "electric, motor, magnetic, field", "ka_url": "http://www.khanacademy.org/video/magnetism-9--electric-motors", "duration": 636, "translated_title": "Magnetism 9: Electric motors", "translated_description_html": "Using a magnetic field to exert torque on a rotating circuit.", "id": "25729", "description_html": "Using a magnetic field to exert torque on a rotating circuit.", "title": "Magnetism 9: Electric motors", "progress_key": "v25729", "edit_slug": "edit/v/25729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a magnetic field to exert torque on a rotating circuit.", "extra_properties": null, "node_slug": "v/magnetism-9--electric-motors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pAgPfr7MkkU.mp4/pAgPfr7MkkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pAgPfr7MkkU.mp4/pAgPfr7MkkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pAgPfr7MkkU.m3u8/pAgPfr7MkkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pAgPfr7MkkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25729", "sha": "c6dabf49390216f691d0d02ff9e7d83999dec595", "translated_description": "Using a magnetic field to exert torque on a rotating circuit.", "image_url": "https://img.youtube.com/vi/pAgPfr7MkkU/hqdefault.jpg", "youtube_id": "pAgPfr7MkkU", "content_kind": "Video", "readable_id": "magnetism-9--electric-motors"}, {"translated_youtube_id": "cePkWyXRvIQ", "relative_url": "/video/magnetism-10--electric-motors", "has_questions": false, "keywords": "magnetism, motor", "ka_url": "http://www.khanacademy.org/video/magnetism-10--electric-motors", "duration": 637, "translated_title": "Magnetism 10: Electric motors", "translated_description_html": "Why the circuit will keep flipping over.", "id": "25731", "description_html": "Why the circuit will keep flipping over.", "title": "Magnetism 10: Electric motors", "progress_key": "v25731", "edit_slug": "edit/v/25731", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why the circuit will keep flipping over.", "extra_properties": null, "node_slug": "v/magnetism-10--electric-motors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cePkWyXRvIQ.mp4/cePkWyXRvIQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cePkWyXRvIQ.mp4/cePkWyXRvIQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cePkWyXRvIQ.m3u8/cePkWyXRvIQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cePkWyXRvIQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25731", "sha": "478d755000a26cf0c26c279e7e2ecfca7960ef86", "translated_description": "Why the circuit will keep flipping over.", "image_url": "https://img.youtube.com/vi/cePkWyXRvIQ/hqdefault.jpg", "youtube_id": "cePkWyXRvIQ", "content_kind": "Video", "readable_id": "magnetism-10--electric-motors"}, {"translated_youtube_id": "XMkUDyl1ZRo", "relative_url": "/video/magnetism-11--electric-motors", "has_questions": false, "keywords": "electric, motor, commutator, magnetic, field", "ka_url": "http://www.khanacademy.org/video/magnetism-11--electric-motors", "duration": 400, "translated_title": "Magnetism 11: Electric motors", "translated_description_html": "Using a commutator to solve the flipping problem and create an electric motor.", "id": "25733", "description_html": "Using a commutator to solve the flipping problem and create an electric motor.", "title": "Magnetism 11: Electric motors", "progress_key": "v25733", "edit_slug": "edit/v/25733", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a commutator to solve the flipping problem and create an electric motor.", "extra_properties": null, "node_slug": "v/magnetism-11--electric-motors", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMkUDyl1ZRo.mp4/XMkUDyl1ZRo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMkUDyl1ZRo.mp4/XMkUDyl1ZRo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMkUDyl1ZRo.m3u8/XMkUDyl1ZRo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMkUDyl1ZRo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25733", "sha": "92e10ec7a7fcfb63a47b85af1ff3b9c38d95d138", "translated_description": "Using a commutator to solve the flipping problem and create an electric motor.", "image_url": "https://img.youtube.com/vi/XMkUDyl1ZRo/hqdefault.jpg", "youtube_id": "XMkUDyl1ZRo", "content_kind": "Video", "readable_id": "magnetism-11--electric-motors"}, {"translated_youtube_id": "KuUMUvwvML8", "relative_url": "/video/magnetism-12--induced-current-in-a-wire", "has_questions": false, "keywords": "electromotive, force, emf, induction, induced, current", "ka_url": "http://www.khanacademy.org/video/magnetism-12--induced-current-in-a-wire", "duration": 727, "translated_title": "Magnetism 12: Induced current in a wire", "translated_description_html": "Induced current and EMF in a moving wire from a magnetic field.", "id": "25735", "description_html": "Induced current and EMF in a moving wire from a magnetic field.", "title": "Magnetism 12: Induced current in a wire", "progress_key": "v25735", "edit_slug": "edit/v/25735", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Induced current and EMF in a moving wire from a magnetic field.", "extra_properties": null, "node_slug": "v/magnetism-12--induced-current-in-a-wire", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KuUMUvwvML8.mp4/KuUMUvwvML8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KuUMUvwvML8.mp4/KuUMUvwvML8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KuUMUvwvML8.m3u8/KuUMUvwvML8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KuUMUvwvML8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25735", "sha": "82023f0dfe825a257fe389fc6aaa1469e213046d", "translated_description": "Induced current and EMF in a moving wire from a magnetic field.", "image_url": "https://img.youtube.com/vi/KuUMUvwvML8/hqdefault.jpg", "youtube_id": "KuUMUvwvML8", "content_kind": "Video", "readable_id": "magnetism-12--induced-current-in-a-wire"}, {"translated_youtube_id": "KDHuWxy53uM", "relative_url": "/video/the-dot-product", "has_questions": false, "keywords": "vector, dot, product", "ka_url": "http://www.khanacademy.org/video/the-dot-product", "duration": 633, "translated_title": "The dot product", "translated_description_html": "Introduction to the vector dot product.", "id": "25737", "description_html": "Introduction to the vector dot product.", "title": "The dot product", "progress_key": "v25737", "edit_slug": "edit/v/25737", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the vector dot product.", "extra_properties": null, "node_slug": "v/the-dot-product", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KDHuWxy53uM.mp4/KDHuWxy53uM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KDHuWxy53uM.mp4/KDHuWxy53uM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KDHuWxy53uM.m3u8/KDHuWxy53uM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KDHuWxy53uM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25737", "sha": "34c55722b1b2405eb52e21cd6f9b0cb2db7a0108", "translated_description": "Introduction to the vector dot product.", "image_url": "https://img.youtube.com/vi/KDHuWxy53uM/hqdefault.jpg", "youtube_id": "KDHuWxy53uM", "content_kind": "Video", "readable_id": "the-dot-product"}, {"translated_youtube_id": "E34CftP455k", "relative_url": "/video/dot-vs--cross-product", "has_questions": false, "keywords": "vector, dot, cross, products", "ka_url": "http://www.khanacademy.org/video/dot-vs--cross-product", "duration": 645, "translated_title": "Dot vs. cross product", "translated_description_html": "Understanding the differences between the dot and cross products", "id": "25739", "description_html": "Understanding the differences between the dot and cross products", "title": "Dot vs. cross product", "progress_key": "v25739", "edit_slug": "edit/v/25739", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the differences between the dot and cross products", "extra_properties": null, "node_slug": "v/dot-vs--cross-product", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E34CftP455k.mp4/E34CftP455k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E34CftP455k.mp4/E34CftP455k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E34CftP455k.m3u8/E34CftP455k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E34CftP455k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25739", "sha": "1f5b9ff7f2f5bcd214a1286d61ad44848c9f3445", "translated_description": "Understanding the differences between the dot and cross products", "image_url": "https://img.youtube.com/vi/E34CftP455k/hqdefault.jpg", "youtube_id": "E34CftP455k", "content_kind": "Video", "readable_id": "dot-vs--cross-product"}, {"translated_youtube_id": "enr7JqvehJs", "relative_url": "/video/calculating-dot-and-cross-products-with-unit-vector-notation", "has_questions": false, "keywords": "vector, dot, cross, product", "ka_url": "http://www.khanacademy.org/video/calculating-dot-and-cross-products-with-unit-vector-notation", "duration": 586, "translated_title": "Calculating dot and cross products with unit vector notation", "translated_description_html": "Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.", "id": "25741", "description_html": "Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.", "title": "Calculating dot and cross products with unit vector notation", "progress_key": "v25741", "edit_slug": "edit/v/25741", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.", "extra_properties": null, "node_slug": "v/calculating-dot-and-cross-products-with-unit-vector-notation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/enr7JqvehJs.mp4/enr7JqvehJs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/enr7JqvehJs.mp4/enr7JqvehJs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/enr7JqvehJs.m3u8/enr7JqvehJs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=enr7JqvehJs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25741", "sha": "1933185e56fdfe66c320337945d1fc88536bcd8f", "translated_description": "Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.", "image_url": "https://img.youtube.com/vi/enr7JqvehJs/hqdefault.jpg", "youtube_id": "enr7JqvehJs", "content_kind": "Video", "readable_id": "calculating-dot-and-cross-products-with-unit-vector-notation"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "electricity-and-magnetism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax72fdbf87", "topic_page_url": "/science/physics/electricity-and-magnetism", "extended_slug": "science/physics/electricity-and-magnetism", "slug": "electricity-and-magnetism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d6342d361f3164d11bba763e5d807445c9f5799c", "standalone_title": "Electricity and magnetism", "y_pos": 0.0, "current_revision_key": "d6342d361f3164d11bba763e5d807445c9f5799c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/physics/waves-and-optics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/physics/waves-and-optics", "translated_standalone_title": "Waves and optics", "translated_title": "Waves and optics", "gplus_url": "", "id": "xe0324853", "old_key_name": "pM-w1foHUbOybjiwkU8qRuWg_qC1sgdJB0BHhhdl", "hide": false, "title": "Waves and optics", "child_data": [{"kind": "Video", "id": 25743}, {"kind": "Video", "id": 25745}, {"kind": "Video", "id": 28120}, {"kind": "Video", "id": 28122}, {"kind": "Video", "id": 28123}, {"kind": "Video", "id": 28124}, {"kind": "Video", "id": 8187516}, {"kind": "Video", "id": 8187517}, {"kind": "Video", "id": 8187518}, {"kind": "Video", "id": 8187519}, {"kind": "Video", "id": 8187520}, {"kind": "Video", "id": 8187521}, {"kind": "Video", "id": 8187522}, {"kind": "Video", "id": 8187523}, {"kind": "Video", "id": 8187524}, {"kind": "Video", "id": 8187525}, {"kind": "Video", "id": 8187526}, {"kind": "Video", "id": 8187527}, {"kind": "Video", "id": 8187528}, {"kind": "Video", "id": 28121}, {"kind": "Video", "id": 8187529}, {"kind": "Video", "id": 8187530}, {"kind": "Video", "id": 8187531}], "children": [{"translated_youtube_id": "c38H6UKt3_I", "relative_url": "/video/introduction-to-waves", "has_questions": false, "keywords": "wave, transverse, compression, longitudinal", "ka_url": "http://www.khanacademy.org/video/introduction-to-waves", "duration": 783, "translated_title": "Introduction to waves", "translated_description_html": "Introduction to transverse and longitudinal waves", "id": "25743", "description_html": "Introduction to transverse and longitudinal waves", "title": "Introduction to waves", "progress_key": "v25743", "edit_slug": "edit/v/25743", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to transverse and longitudinal waves", "extra_properties": null, "node_slug": "v/introduction-to-waves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c38H6UKt3_I.mp4/c38H6UKt3_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c38H6UKt3_I.mp4/c38H6UKt3_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c38H6UKt3_I.m3u8/c38H6UKt3_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c38H6UKt3_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25743", "sha": "39ff13d47584592d705bd044fe75fc958290ef68", "translated_description": "Introduction to transverse and longitudinal waves", "image_url": "https://img.youtube.com/vi/c38H6UKt3_I/hqdefault.jpg", "youtube_id": "c38H6UKt3_I", "content_kind": "Video", "readable_id": "introduction-to-waves"}, {"translated_youtube_id": "tJW_a6JeXD8", "relative_url": "/video/amplitude--period--frequency-and-wavelength-of-periodic-waves", "has_questions": false, "keywords": "amplitude, period, frequency, wavelength, wave", "ka_url": "http://www.khanacademy.org/video/amplitude--period--frequency-and-wavelength-of-periodic-waves", "duration": 866, "translated_title": "Amplitude, period, frequency and wavelength of periodic waves", "translated_description_html": "Amplitude, period, frequency and wavelength of periodic waves", "id": "25745", "description_html": "Amplitude, period, frequency and wavelength of periodic waves", "title": "Amplitude, period, frequency and wavelength of periodic waves", "progress_key": "v25745", "edit_slug": "edit/v/25745", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Amplitude, period, frequency and wavelength of periodic waves", "extra_properties": null, "node_slug": "v/amplitude--period--frequency-and-wavelength-of-periodic-waves", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tJW_a6JeXD8.mp4/tJW_a6JeXD8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tJW_a6JeXD8.mp4/tJW_a6JeXD8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tJW_a6JeXD8.m3u8/tJW_a6JeXD8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tJW_a6JeXD8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25745", "sha": "c75a23de0312a02d2cec6ffb541cd05ecaae2945", "translated_description": "Amplitude, period, frequency and wavelength of periodic waves", "image_url": "https://img.youtube.com/vi/tJW_a6JeXD8/hqdefault.jpg", "youtube_id": "tJW_a6JeXD8", "content_kind": "Video", "readable_id": "amplitude--period--frequency-and-wavelength-of-periodic-waves"}, {"translated_youtube_id": "dc7l7Qqa8xk", "relative_url": "/video/introduction-to-the-doppler-effect", "has_questions": false, "keywords": "doppler, effect", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-doppler-effect", "duration": 636, "translated_title": "Introduction to the doppler effect", "translated_description_html": "Introduction to the Doppler Effect", "id": "28120", "description_html": "Introduction to the Doppler Effect", "title": "Introduction to the doppler effect", "progress_key": "v28120", "edit_slug": "edit/v/28120", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction to the Doppler Effect", "extra_properties": null, "node_slug": "v/introduction-to-the-doppler-effect", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dc7l7Qqa8xk.mp4/dc7l7Qqa8xk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dc7l7Qqa8xk.mp4/dc7l7Qqa8xk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dc7l7Qqa8xk.m3u8/dc7l7Qqa8xk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dc7l7Qqa8xk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28120", "sha": "b813232af71cde878c6f00c3bbf757dbabc7c007", "translated_description": "Introduction to the Doppler Effect", "image_url": "https://img.youtube.com/vi/dc7l7Qqa8xk/hqdefault.jpg", "youtube_id": "dc7l7Qqa8xk", "content_kind": "Video", "readable_id": "introduction-to-the-doppler-effect"}, {"translated_youtube_id": "KkJ0wL9f2VY", "relative_url": "/video/doppler-effect-formula-when-source-is-moving-away", "has_questions": false, "keywords": "doppler, effect, formula", "ka_url": "http://www.khanacademy.org/video/doppler-effect-formula-when-source-is-moving-away", "duration": 558, "translated_title": "Doppler effect formula when source is moving away", "translated_description_html": "Doppler effect formula when source is moving away", "id": "28122", "description_html": "Doppler effect formula when source is moving away", "title": "Doppler effect formula when source is moving away", "progress_key": "v28122", "edit_slug": "edit/v/28122", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Doppler effect formula when source is moving away", "extra_properties": null, "node_slug": "v/doppler-effect-formula-when-source-is-moving-away", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KkJ0wL9f2VY.mp4/KkJ0wL9f2VY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KkJ0wL9f2VY.mp4/KkJ0wL9f2VY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KkJ0wL9f2VY.m3u8/KkJ0wL9f2VY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KkJ0wL9f2VY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28122", "sha": "7aa23f2d40e23fc6f296da81cd3069aa52770549", "translated_description": "Doppler effect formula when source is moving away", "image_url": "https://img.youtube.com/vi/KkJ0wL9f2VY/hqdefault.jpg", "youtube_id": "KkJ0wL9f2VY", "content_kind": "Video", "readable_id": "doppler-effect-formula-when-source-is-moving-away"}, {"translated_youtube_id": "4Xgk3vusxT8", "relative_url": "/video/when-the-source-and-the-wave-move-at-the-same-velocity", "has_questions": false, "keywords": "sonic, boom, doppler, source, wave", "ka_url": "http://www.khanacademy.org/video/when-the-source-and-the-wave-move-at-the-same-velocity", "duration": 455, "translated_title": "When the source and the wave move at the same velocity", "translated_description_html": "When the source and the wave move at the same velocity", "id": "28123", "description_html": "When the source and the wave move at the same velocity", "title": "When the source and the wave move at the same velocity", "progress_key": "v28123", "edit_slug": "edit/v/28123", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "When the source and the wave move at the same velocity", "extra_properties": null, "node_slug": "v/when-the-source-and-the-wave-move-at-the-same-velocity", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Xgk3vusxT8.mp4/4Xgk3vusxT8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Xgk3vusxT8.mp4/4Xgk3vusxT8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Xgk3vusxT8.m3u8/4Xgk3vusxT8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Xgk3vusxT8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28123", "sha": "12eb1b28ea9489cf7f7abc50cbefd093713666b3", "translated_description": "When the source and the wave move at the same velocity", "image_url": "https://img.youtube.com/vi/4Xgk3vusxT8/hqdefault.jpg", "youtube_id": "4Xgk3vusxT8", "content_kind": "Video", "readable_id": "when-the-source-and-the-wave-move-at-the-same-velocity"}, {"translated_youtube_id": "VlaGxYjnoPY", "relative_url": "/video/mach-numbers", "has_questions": false, "keywords": "mach, sound, speed", "ka_url": "http://www.khanacademy.org/video/mach-numbers", "duration": 244, "translated_title": "Mach numbers", "translated_description_html": "Mach numbers", "id": "28124", "description_html": "Mach numbers", "title": "Mach numbers", "progress_key": "v28124", "edit_slug": "edit/v/28124", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mach numbers", "extra_properties": null, "node_slug": "v/mach-numbers", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VlaGxYjnoPY.mp4/VlaGxYjnoPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VlaGxYjnoPY.mp4/VlaGxYjnoPY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VlaGxYjnoPY.m3u8/VlaGxYjnoPY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VlaGxYjnoPY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28124", "sha": "6a6b38bc5a42badbcac64e32caf2d42b7358966f", "translated_description": "Mach numbers", "image_url": "https://img.youtube.com/vi/VlaGxYjnoPY/hqdefault.jpg", "youtube_id": "VlaGxYjnoPY", "content_kind": "Video", "readable_id": "mach-numbers"}, {"translated_youtube_id": "sd0BOnN6aNY", "relative_url": "/video/specular-and-diffuse-reflection", "has_questions": false, "keywords": "Specular, and, Diffuse, Reflection, angle, incidence, incident", "ka_url": "http://www.khanacademy.org/video/specular-and-diffuse-reflection", "duration": 660, "translated_title": "Specular and diffuse reflection", "translated_description_html": "Specular and Diffuse Reflection", "id": "8187516", "description_html": "Specular and Diffuse Reflection", "title": "Specular and diffuse reflection", "progress_key": "v8187516", "edit_slug": "edit/v/8187516", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Specular and Diffuse Reflection", "extra_properties": null, "node_slug": "v/specular-and-diffuse-reflection", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sd0BOnN6aNY.mp4/sd0BOnN6aNY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sd0BOnN6aNY.mp4/sd0BOnN6aNY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sd0BOnN6aNY.m3u8/sd0BOnN6aNY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sd0BOnN6aNY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187516", "sha": "d4d24475253470d4ff81e2b69ebe5975c0e23566", "translated_description": "Specular and Diffuse Reflection", "image_url": "https://img.youtube.com/vi/sd0BOnN6aNY/hqdefault.jpg", "youtube_id": "sd0BOnN6aNY", "content_kind": "Video", "readable_id": "specular-and-diffuse-reflection"}, {"translated_youtube_id": "XR52dXLyz-M", "relative_url": "/video/specular-and-diffuse-reflection-2", "has_questions": false, "keywords": "Specular, and, Diffuse, Reflection", "ka_url": "http://www.khanacademy.org/video/specular-and-diffuse-reflection-2", "duration": 461, "translated_title": "Specular and diffuse reflection 2", "translated_description_html": "Specular and Diffuse Reflection 2", "id": "8187517", "description_html": "Specular and Diffuse Reflection 2", "title": "Specular and diffuse reflection 2", "progress_key": "v8187517", "edit_slug": "edit/v/8187517", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Specular and Diffuse Reflection 2", "extra_properties": null, "node_slug": "v/specular-and-diffuse-reflection-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XR52dXLyz-M.mp4/XR52dXLyz-M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XR52dXLyz-M.mp4/XR52dXLyz-M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XR52dXLyz-M.m3u8/XR52dXLyz-M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XR52dXLyz-M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187517", "sha": "b9f016ae1628338598bebb05f596ed83f11bb501", "translated_description": "Specular and Diffuse Reflection 2", "image_url": "https://img.youtube.com/vi/XR52dXLyz-M/hqdefault.jpg", "youtube_id": "XR52dXLyz-M", "content_kind": "Video", "readable_id": "specular-and-diffuse-reflection-2"}, {"translated_youtube_id": "y55tzg_jW9I", "relative_url": "/video/refraction-and-snell-s-law", "has_questions": false, "keywords": "Refraction, and, Snell's, Law", "ka_url": "http://www.khanacademy.org/video/refraction-and-snell-s-law", "duration": 864, "translated_title": "Refraction and Snell's law", "translated_description_html": "Refraction and Snell's Law", "id": "8187518", "description_html": "Refraction and Snell's Law", "title": "Refraction and Snell's law", "progress_key": "v8187518", "edit_slug": "edit/v/8187518", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Refraction and Snell's Law", "extra_properties": null, "node_slug": "v/refraction-and-snell-s-law", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y55tzg_jW9I.mp4/y55tzg_jW9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y55tzg_jW9I.mp4/y55tzg_jW9I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y55tzg_jW9I.m3u8/y55tzg_jW9I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y55tzg_jW9I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187518", "sha": "e15b3d36c8efe3aa100038bfa88e7b74416e4379", "translated_description": "Refraction and Snell's Law", "image_url": "https://img.youtube.com/vi/y55tzg_jW9I/hqdefault.jpg", "youtube_id": "y55tzg_jW9I", "content_kind": "Video", "readable_id": "refraction-and-snell-s-law"}, {"translated_youtube_id": "jxptCXHLxKQ", "relative_url": "/video/refraction-in-water", "has_questions": false, "keywords": "Refraction, in, Water", "ka_url": "http://www.khanacademy.org/video/refraction-in-water", "duration": 264, "translated_title": "Refraction in water", "translated_description_html": "Refraction in Water", "id": "8187519", "description_html": "Refraction in Water", "title": "Refraction in water", "progress_key": "v8187519", "edit_slug": "edit/v/8187519", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Refraction in Water", "extra_properties": null, "node_slug": "v/refraction-in-water", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jxptCXHLxKQ.mp4/jxptCXHLxKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jxptCXHLxKQ.mp4/jxptCXHLxKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jxptCXHLxKQ.m3u8/jxptCXHLxKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jxptCXHLxKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187519", "sha": "38c43213f3967670552bb71276fd3ad4a62a6277", "translated_description": "Refraction in Water", "image_url": "https://img.youtube.com/vi/jxptCXHLxKQ/hqdefault.jpg", "youtube_id": "jxptCXHLxKQ", "content_kind": "Video", "readable_id": "refraction-in-water"}, {"translated_youtube_id": "HahjsBApxLE", "relative_url": "/video/snell-s-law-examples-1", "has_questions": false, "keywords": "Snell's, Law, Examples", "ka_url": "http://www.khanacademy.org/video/snell-s-law-examples-1", "duration": 644, "translated_title": "Snell's law example 1", "translated_description_html": "Snell's Law Example 1", "id": "8187520", "description_html": "Snell's Law Example 1", "title": "Snell's law example 1", "progress_key": "v8187520", "edit_slug": "edit/v/8187520", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Snell's Law Example 1", "extra_properties": null, "node_slug": "v/snell-s-law-examples-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HahjsBApxLE.mp4/HahjsBApxLE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HahjsBApxLE.mp4/HahjsBApxLE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HahjsBApxLE.m3u8/HahjsBApxLE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HahjsBApxLE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187520", "sha": "fa84e0ce49fcd1f8d880cc3471da72c3a70903e4", "translated_description": "Snell's Law Example 1", "image_url": "https://img.youtube.com/vi/HahjsBApxLE/hqdefault.jpg", "youtube_id": "HahjsBApxLE", "content_kind": "Video", "readable_id": "snell-s-law-examples-1"}, {"translated_youtube_id": "10LuSfZZa3E", "relative_url": "/video/snell-s-law-example-2", "has_questions": false, "keywords": "Snell's, Law, Example", "ka_url": "http://www.khanacademy.org/video/snell-s-law-example-2", "duration": 685, "translated_title": "Snell's law example 2", "translated_description_html": "Snell's Law Example 2", "id": "8187521", "description_html": "Snell's Law Example 2", "title": "Snell's law example 2", "progress_key": "v8187521", "edit_slug": "edit/v/8187521", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Snell's Law Example 2", "extra_properties": null, "node_slug": "v/snell-s-law-example-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/10LuSfZZa3E.mp4/10LuSfZZa3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/10LuSfZZa3E.mp4/10LuSfZZa3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/10LuSfZZa3E.m3u8/10LuSfZZa3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=10LuSfZZa3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187521", "sha": "e88796cdb2b7a3dbb1a85c2c49163cd13717bd8a", "translated_description": "Snell's Law Example 2", "image_url": "https://img.youtube.com/vi/10LuSfZZa3E/hqdefault.jpg", "youtube_id": "10LuSfZZa3E", "content_kind": "Video", "readable_id": "snell-s-law-example-2"}, {"translated_youtube_id": "WRuatAcd2WY", "relative_url": "/video/total-internal-reflection", "has_questions": false, "keywords": "Critical, incident, angle, and, total, internal, reflection", "ka_url": "http://www.khanacademy.org/video/total-internal-reflection", "duration": 475, "translated_title": "Total internal reflection", "translated_description_html": "Critical incident angle and total internal reflection", "id": "8187522", "description_html": "Critical incident angle and total internal reflection", "title": "Total internal reflection", "progress_key": "v8187522", "edit_slug": "edit/v/8187522", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Critical incident angle and total internal reflection", "extra_properties": null, "node_slug": "v/total-internal-reflection", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WRuatAcd2WY.mp4/WRuatAcd2WY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WRuatAcd2WY.mp4/WRuatAcd2WY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WRuatAcd2WY.m3u8/WRuatAcd2WY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WRuatAcd2WY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187522", "sha": "2579460c54a68469351e45b90089fd8d99c30245", "translated_description": "Critical incident angle and total internal reflection", "image_url": "https://img.youtube.com/vi/WRuatAcd2WY/hqdefault.jpg", "youtube_id": "WRuatAcd2WY", "content_kind": "Video", "readable_id": "total-internal-reflection"}, {"translated_youtube_id": "nrOg85VPQgw", "relative_url": "/video/virtual-image", "has_questions": false, "keywords": "Virtual, Image, optics, mirror", "ka_url": "http://www.khanacademy.org/video/virtual-image", "duration": 473, "translated_title": "Virtual image", "translated_description_html": "Virtual Image", "id": "8187523", "description_html": "Virtual Image", "title": "Virtual image", "progress_key": "v8187523", "edit_slug": "edit/v/8187523", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Virtual Image", "extra_properties": null, "node_slug": "v/virtual-image", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nrOg85VPQgw.mp4/nrOg85VPQgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nrOg85VPQgw.mp4/nrOg85VPQgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nrOg85VPQgw.m3u8/nrOg85VPQgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nrOg85VPQgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187523", "sha": "ac6c7d285ac23666ec6d5717cb694d736e43d857", "translated_description": "Virtual Image", "image_url": "https://img.youtube.com/vi/nrOg85VPQgw/hqdefault.jpg", "youtube_id": "nrOg85VPQgw", "content_kind": "Video", "readable_id": "virtual-image"}, {"translated_youtube_id": "8X1AS9qD5AQ", "relative_url": "/video/parabolic-mirrors-and-real-images", "has_questions": false, "keywords": "Parabolic, Mirrors, and, Real, Images", "ka_url": "http://www.khanacademy.org/video/parabolic-mirrors-and-real-images", "duration": 697, "translated_title": "Parabolic mirrors and real images", "translated_description_html": "Parabolic Mirrors and Real Images", "id": "8187524", "description_html": "Parabolic Mirrors and Real Images", "title": "Parabolic mirrors and real images", "progress_key": "v8187524", "edit_slug": "edit/v/8187524", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabolic Mirrors and Real Images", "extra_properties": null, "node_slug": "v/parabolic-mirrors-and-real-images", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8X1AS9qD5AQ.mp4/8X1AS9qD5AQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8X1AS9qD5AQ.mp4/8X1AS9qD5AQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8X1AS9qD5AQ.m3u8/8X1AS9qD5AQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8X1AS9qD5AQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187524", "sha": "ecbaa1b8a411f90971b0a08905b5b89210278c5d", "translated_description": "Parabolic Mirrors and Real Images", "image_url": "https://img.youtube.com/vi/8X1AS9qD5AQ/hqdefault.jpg", "youtube_id": "8X1AS9qD5AQ", "content_kind": "Video", "readable_id": "parabolic-mirrors-and-real-images"}, {"translated_youtube_id": "7m0u6dxA5Xo", "relative_url": "/video/parabolic-mirrors-2", "has_questions": false, "keywords": "Parabolic, Mirrors, real, image, optics", "ka_url": "http://www.khanacademy.org/video/parabolic-mirrors-2", "duration": 769, "translated_title": "Parabolic mirrors 2", "translated_description_html": "Parabolic Mirrors 2", "id": "8187525", "description_html": "Parabolic Mirrors 2", "title": "Parabolic mirrors 2", "progress_key": "v8187525", "edit_slug": "edit/v/8187525", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parabolic Mirrors 2", "extra_properties": null, "node_slug": "v/parabolic-mirrors-2", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7m0u6dxA5Xo.mp4/7m0u6dxA5Xo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7m0u6dxA5Xo.mp4/7m0u6dxA5Xo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7m0u6dxA5Xo.m3u8/7m0u6dxA5Xo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7m0u6dxA5Xo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187525", "sha": "4c78d97fd9b5ce0dd89659b980b5a43caa8850c1", "translated_description": "Parabolic Mirrors 2", "image_url": "https://img.youtube.com/vi/7m0u6dxA5Xo/hqdefault.jpg", "youtube_id": "7m0u6dxA5Xo", "content_kind": "Video", "readable_id": "parabolic-mirrors-2"}, {"translated_youtube_id": "dWY25vb1ZB0", "relative_url": "/video/convex-parabolic-mirrors", "has_questions": false, "keywords": "Convex, Parabolic, Mirrors, optics", "ka_url": "http://www.khanacademy.org/video/convex-parabolic-mirrors", "duration": 360, "translated_title": "Convex parabolic mirrors", "translated_description_html": "Convex Parabolic Mirrors", "id": "8187526", "description_html": "Convex Parabolic Mirrors", "title": "Convex parabolic mirrors", "progress_key": "v8187526", "edit_slug": "edit/v/8187526", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Convex Parabolic Mirrors", "extra_properties": null, "node_slug": "v/convex-parabolic-mirrors", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dWY25vb1ZB0.mp4/dWY25vb1ZB0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dWY25vb1ZB0.mp4/dWY25vb1ZB0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dWY25vb1ZB0.m3u8/dWY25vb1ZB0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dWY25vb1ZB0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187526", "sha": "5712c6def7d7a81e246f9a7d17f32256008dda15", "translated_description": "Convex Parabolic Mirrors", "image_url": "https://img.youtube.com/vi/dWY25vb1ZB0/hqdefault.jpg", "youtube_id": "dWY25vb1ZB0", "content_kind": "Video", "readable_id": "convex-parabolic-mirrors"}, {"translated_youtube_id": "K0sjZ5nqQ7g", "relative_url": "/video/convex-lenses", "has_questions": false, "keywords": "Convex, Lenses, optics", "ka_url": "http://www.khanacademy.org/video/convex-lenses", "duration": 563, "translated_title": "Convex lenses", "translated_description_html": "Convex Lenses", "id": "8187527", "description_html": "Convex Lenses", "title": "Convex lenses", "progress_key": "v8187527", "edit_slug": "edit/v/8187527", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Convex Lenses", "extra_properties": null, "node_slug": "v/convex-lenses", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K0sjZ5nqQ7g.mp4/K0sjZ5nqQ7g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K0sjZ5nqQ7g.mp4/K0sjZ5nqQ7g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K0sjZ5nqQ7g.m3u8/K0sjZ5nqQ7g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K0sjZ5nqQ7g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187527", "sha": "3a1f9a2005c4f6c8be33aec0c0c92d7315de9d32", "translated_description": "Convex Lenses", "image_url": "https://img.youtube.com/vi/K0sjZ5nqQ7g/hqdefault.jpg", "youtube_id": "K0sjZ5nqQ7g", "content_kind": "Video", "readable_id": "convex-lenses"}, {"translated_youtube_id": "xxF_mdoZom0", "relative_url": "/video/convex-lens-examples", "has_questions": false, "keywords": "Convex, Lens, Examples", "ka_url": "http://www.khanacademy.org/video/convex-lens-examples", "duration": 576, "translated_title": "Convex lens examples", "translated_description_html": "Convex Lens Examples", "id": "8187528", "description_html": "Convex Lens Examples", "title": "Convex lens examples", "progress_key": "v8187528", "edit_slug": "edit/v/8187528", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Convex Lens Examples", "extra_properties": null, "node_slug": "v/convex-lens-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xxF_mdoZom0.mp4/xxF_mdoZom0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xxF_mdoZom0.mp4/xxF_mdoZom0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xxF_mdoZom0.m3u8/xxF_mdoZom0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xxF_mdoZom0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187528", "sha": "4461d870d8717df6d317a250d1cfdc2afd14e859", "translated_description": "Convex Lens Examples", "image_url": "https://img.youtube.com/vi/xxF_mdoZom0/hqdefault.jpg", "youtube_id": "xxF_mdoZom0", "content_kind": "Video", "readable_id": "convex-lens-examples"}, {"translated_youtube_id": "kGrk6V8tWDY", "relative_url": "/video/doppler-effect-formula-for-observed-frequency", "has_questions": false, "keywords": "doppler, effect, formula", "ka_url": "http://www.khanacademy.org/video/doppler-effect-formula-for-observed-frequency", "duration": 613, "translated_title": "Doppler effect formula for observed frequency", "translated_description_html": "Doppler effect formula for observed frequency", "id": "28121", "description_html": "Doppler effect formula for observed frequency", "title": "Doppler effect formula for observed frequency", "progress_key": "v28121", "edit_slug": "edit/v/28121", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Doppler effect formula for observed frequency", "extra_properties": null, "node_slug": "v/doppler-effect-formula-for-observed-frequency", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kGrk6V8tWDY.mp4/kGrk6V8tWDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kGrk6V8tWDY.mp4/kGrk6V8tWDY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kGrk6V8tWDY.m3u8/kGrk6V8tWDY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kGrk6V8tWDY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28121", "sha": "2c4269ffa9213db0219a1d71ed9031efa47b15e5", "translated_description": "Doppler effect formula for observed frequency", "image_url": "https://img.youtube.com/vi/kGrk6V8tWDY/hqdefault.jpg", "youtube_id": "kGrk6V8tWDY", "content_kind": "Video", "readable_id": "doppler-effect-formula-for-observed-frequency"}, {"translated_youtube_id": "Vh70PyitQzo", "relative_url": "/video/concave-lenses", "has_questions": false, "keywords": "Concave, Lenses, Optics", "ka_url": "http://www.khanacademy.org/video/concave-lenses", "duration": 186, "translated_title": "Concave lenses", "translated_description_html": "Concave Lenses", "id": "8187529", "description_html": "Concave Lenses", "title": "Concave lenses", "progress_key": "v8187529", "edit_slug": "edit/v/8187529", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Concave Lenses", "extra_properties": null, "node_slug": "v/concave-lenses", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vh70PyitQzo.mp4/Vh70PyitQzo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vh70PyitQzo.mp4/Vh70PyitQzo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vh70PyitQzo.m3u8/Vh70PyitQzo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vh70PyitQzo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187529", "sha": "9947f039e3d37d11ad5aabfe48638a81f59e8813", "translated_description": "Concave Lenses", "image_url": "https://img.youtube.com/vi/Vh70PyitQzo/hqdefault.jpg", "youtube_id": "Vh70PyitQzo", "content_kind": "Video", "readable_id": "concave-lenses"}, {"translated_youtube_id": "rse0I7rZ8jM", "relative_url": "/video/object-image-and-focal-distance-relationship--proof-of-formula", "has_questions": false, "keywords": "Object, Image, and, Focal, Distance, Relationship, (Proof, of, Formula), optics", "ka_url": "http://www.khanacademy.org/video/object-image-and-focal-distance-relationship--proof-of-formula", "duration": 749, "translated_title": "Object image and focal distance relationship (proof of formula)", "translated_description_html": "Object Image and Focal Distance Relationship (Proof of Formula)", "id": "8187530", "description_html": "Object Image and Focal Distance Relationship (Proof of Formula)", "title": "Object image and focal distance relationship (proof of formula)", "progress_key": "v8187530", "edit_slug": "edit/v/8187530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Object Image and Focal Distance Relationship (Proof of Formula)", "extra_properties": null, "node_slug": "v/object-image-and-focal-distance-relationship--proof-of-formula", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:50:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rse0I7rZ8jM.mp4/rse0I7rZ8jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rse0I7rZ8jM.mp4/rse0I7rZ8jM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rse0I7rZ8jM.m3u8/rse0I7rZ8jM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rse0I7rZ8jM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187530", "sha": "4ba8cf393f788895008bb720d71077b60ab48ae3", "translated_description": "Object Image and Focal Distance Relationship (Proof of Formula)", "image_url": "https://img.youtube.com/vi/rse0I7rZ8jM/hqdefault.jpg", "youtube_id": "rse0I7rZ8jM", "content_kind": "Video", "readable_id": "object-image-and-focal-distance-relationship--proof-of-formula"}, {"translated_youtube_id": "acQYX4nwhCk", "relative_url": "/video/object-image-height-and-distance-relationship", "has_questions": false, "keywords": "Object, Image, Height, and, Distance, Relationship", "ka_url": "http://www.khanacademy.org/video/object-image-height-and-distance-relationship", "duration": 142, "translated_title": "Object image height and distance relationship", "translated_description_html": "Object Image Height and Distance Relationship", "id": "8187531", "description_html": "Object Image Height and Distance Relationship", "title": "Object image height and distance relationship", "progress_key": "v8187531", "edit_slug": "edit/v/8187531", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Object Image Height and Distance Relationship", "extra_properties": null, "node_slug": "v/object-image-height-and-distance-relationship", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:50:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/acQYX4nwhCk.mp4/acQYX4nwhCk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/acQYX4nwhCk.mp4/acQYX4nwhCk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/acQYX4nwhCk.m3u8/acQYX4nwhCk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=acQYX4nwhCk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187531", "sha": "a707e26ea7956cdf2d149c4aeba6c3b0c21bcf81", "translated_description": "Object Image Height and Distance Relationship", "image_url": "https://img.youtube.com/vi/acQYX4nwhCk/hqdefault.jpg", "youtube_id": "acQYX4nwhCk", "content_kind": "Video", "readable_id": "object-image-height-and-distance-relationship"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "waves-and-optics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0324853", "topic_page_url": "/science/physics/waves-and-optics", "extended_slug": "science/physics/waves-and-optics", "slug": "waves-and-optics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8a17184d58ce84fb21fdfe57c1afaa0a26da292e", "standalone_title": "Waves and optics", "y_pos": 0.0, "current_revision_key": "8a17184d58ce84fb21fdfe57c1afaa0a26da292e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.", "x_pos": 0.0, "node_slug": "physics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4122fa5d", "topic_page_url": "/science/physics", "extended_slug": "science/physics", "slug": "physics", "tags": ["physics", "mechanics", "projectile", "motion", "khan"], "kind": "Topic", "in_topic_browser": true, "sha": "46f207a9d4472cd20a113e09343d24c848e5aaa1", "standalone_title": "Physics", "y_pos": 0.0, "current_revision_key": "46f207a9d4472cd20a113e09343d24c848e5aaa1", "content_kind": "Topic"}, {"icon_src": "/images/power-mode/badges/chemistry-40x40.png", "domain_slug": "science", "relative_url": "/science/chemistry", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry", "translated_standalone_title": "Chemistry", "translated_title": "Chemistry", "gplus_url": "", "id": "x822131fc", "old_key_name": "sRgeHjYFgf7JdgVRV8g0a_7zcCwkB9LdrCvWyOuS", "hide": false, "title": "Chemistry", "child_data": [{"kind": "Topic", "id": "x7e37e2ee"}, {"kind": "Topic", "id": "x5247460c"}, {"kind": "Topic", "id": "x01c14bf5"}, {"kind": "Topic", "id": "x0046c0fa"}, {"kind": "Topic", "id": "x88901cc3"}, {"kind": "Topic", "id": "x33b4144d"}, {"kind": "Topic", "id": "xd62c9e8c"}, {"kind": "Topic", "id": "xb79ef290"}, {"kind": "Topic", "id": "x7013457b"}, {"kind": "Topic", "id": "xf2aa6ecc"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/introduction-to-the-atom", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/introduction-to-the-atom", "translated_standalone_title": "Introduction to the Atom", "translated_title": "Introduction to the atom", "gplus_url": "", "id": "x7e37e2ee", "old_key_name": "h4f-zDPUVpnglgZyGCI1NZ5Dy51rydQXzybqf34s", "hide": false, "title": "Introduction to the atom", "child_data": [{"kind": "Video", "id": 183171788}, {"kind": "Video", "id": 369058}], "children": [{"translated_youtube_id": "IFKnq9QM6_A", "relative_url": "/video/elements-and-atoms", "has_questions": false, "keywords": "chemistry, physics", "ka_url": "http://www.khanacademy.org/video/elements-and-atoms", "duration": 789, "translated_title": "Elements and atoms", "translated_description_html": "How elements relate to atoms. The basics of how protons, electrons and neutrons make up an atom.", "id": "183171788", "description_html": "How elements relate to atoms. The basics of how protons, electrons and neutrons make up an atom.", "title": "Elements and atoms", "progress_key": "v183171788", "edit_slug": "edit/v/183171788", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How elements relate to atoms. The basics of how protons, electrons and neutrons make up an atom.", "extra_properties": null, "node_slug": "v/elements-and-atoms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-01T23:28:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IFKnq9QM6_A.mp4/IFKnq9QM6_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IFKnq9QM6_A.mp4/IFKnq9QM6_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IFKnq9QM6_A.m3u8/IFKnq9QM6_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IFKnq9QM6_A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v183171788", "sha": "21af2c75220362b01e9981175bb7d442b8c9f973", "translated_description": "How elements relate to atoms. The basics of how protons, electrons and neutrons make up an atom.", "image_url": "https://img.youtube.com/vi/IFKnq9QM6_A/hqdefault.jpg", "youtube_id": "IFKnq9QM6_A", "content_kind": "Video", "readable_id": "elements-and-atoms"}, {"translated_youtube_id": "1xSQlwWGT8M", "relative_url": "/video/introduction-to-the-atom", "has_questions": false, "keywords": "atom, chemistry, proton, electron, neutron", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-atom", "duration": 1265, "translated_title": "Introduction to the atom", "translated_description_html": "The atom, proton, neutron and electron", "id": "369058", "description_html": "The atom, proton, neutron and electron", "title": "Introduction to the atom", "progress_key": "v369058", "edit_slug": "edit/v/369058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The atom, proton, neutron and electron", "extra_properties": null, "node_slug": "v/introduction-to-the-atom", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1xSQlwWGT8M.mp4/1xSQlwWGT8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1xSQlwWGT8M.mp4/1xSQlwWGT8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1xSQlwWGT8M.m3u8/1xSQlwWGT8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1xSQlwWGT8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v369058", "sha": "c3759bf4baf238619d0f21d62fcad01ce7f9ef4b", "translated_description": "The atom, proton, neutron and electron", "image_url": "https://img.youtube.com/vi/1xSQlwWGT8M/hqdefault.jpg", "youtube_id": "1xSQlwWGT8M", "content_kind": "Video", "readable_id": "introduction-to-the-atom"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "introduction-to-the-atom", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7e37e2ee", "topic_page_url": "/science/chemistry/introduction-to-the-atom", "extended_slug": "science/chemistry/introduction-to-the-atom", "slug": "introduction-to-the-atom", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aba5d507164cade116fe1fbc2a6c8c8fdac29557", "standalone_title": "Introduction to the Atom", "y_pos": 0.0, "current_revision_key": "aba5d507164cade116fe1fbc2a6c8c8fdac29557", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/orbitals-and-electrons", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/orbitals-and-electrons", "translated_standalone_title": "Orbitals and Electrons", "translated_title": "Orbitals and electrons", "gplus_url": "", "id": "x5247460c", "old_key_name": "P3RjhSk-IZjgt8J_rm-X-aeiHmSseVPkASbfxfdm", "hide": false, "title": "Orbitals and electrons", "child_data": [{"kind": "Video", "id": 425003}, {"kind": "Video", "id": 364060}, {"kind": "Video", "id": 379045}, {"kind": "Video", "id": 355057}, {"kind": "Video", "id": 381052}], "children": [{"translated_youtube_id": "yBrp8uvNAhI", "relative_url": "/video/orbitals", "has_questions": false, "keywords": "chemistry, atomic, orbitals", "ka_url": "http://www.khanacademy.org/video/orbitals", "duration": 818, "translated_title": "Orbitals", "translated_description_html": "An introduction to orbitals", "id": "425003", "description_html": "An introduction to orbitals", "title": "Orbitals", "progress_key": "v425003", "edit_slug": "edit/v/425003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to orbitals", "extra_properties": null, "node_slug": "v/orbitals", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yBrp8uvNAhI.mp4/yBrp8uvNAhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yBrp8uvNAhI.mp4/yBrp8uvNAhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yBrp8uvNAhI.m3u8/yBrp8uvNAhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yBrp8uvNAhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v425003", "sha": "1efdfbb57a9720d266b02c8ee350bf77e6e6cfa6", "translated_description": "An introduction to orbitals", "image_url": "https://img.youtube.com/vi/yBrp8uvNAhI/hqdefault.jpg", "youtube_id": "yBrp8uvNAhI", "content_kind": "Video", "readable_id": "orbitals"}, {"translated_youtube_id": "FmQoSenbtnU", "relative_url": "/video/more-on-orbitals-and-electron-configuration", "has_questions": false, "keywords": "orbitals, electron, configuration", "ka_url": "http://www.khanacademy.org/video/more-on-orbitals-and-electron-configuration", "duration": 871, "translated_title": "More on orbitals and electron configuration", "translated_description_html": "More intuition on orbitals. Touching on electron configuration.", "id": "364060", "description_html": "More intuition on orbitals. Touching on electron configuration.", "title": "More on orbitals and electron configuration", "progress_key": "v364060", "edit_slug": "edit/v/364060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More intuition on orbitals. Touching on electron configuration.", "extra_properties": null, "node_slug": "v/more-on-orbitals-and-electron-configuration", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FmQoSenbtnU.mp4/FmQoSenbtnU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FmQoSenbtnU.mp4/FmQoSenbtnU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FmQoSenbtnU.m3u8/FmQoSenbtnU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FmQoSenbtnU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364060", "sha": "7c0a720e9014a55988c741a59ae15c7ded1f93cb", "translated_description": "More intuition on orbitals. Touching on electron configuration.", "image_url": "https://img.youtube.com/vi/FmQoSenbtnU/hqdefault.jpg", "youtube_id": "FmQoSenbtnU", "content_kind": "Video", "readable_id": "more-on-orbitals-and-electron-configuration"}, {"translated_youtube_id": "RJlEH5Jz80w", "relative_url": "/video/electron-configurations", "has_questions": false, "keywords": "electron, configurations, orbitals", "ka_url": "http://www.khanacademy.org/video/electron-configurations", "duration": 605, "translated_title": "Electron configurations", "translated_description_html": "Introduction to using the periodic table to determine electron configurations", "id": "379045", "description_html": "Introduction to using the periodic table to determine electron configurations", "title": "Electron configurations", "progress_key": "v379045", "edit_slug": "edit/v/379045", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction to using the periodic table to determine electron configurations", "extra_properties": {"original_url": ""}, "node_slug": "v/electron-configurations", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RJlEH5Jz80w.mp4/RJlEH5Jz80w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RJlEH5Jz80w.mp4/RJlEH5Jz80w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RJlEH5Jz80w.m3u8/RJlEH5Jz80w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RJlEH5Jz80w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v379045", "sha": "c17f531209110ce0b3a613b010c1d2377d0c9bba", "translated_description": "Introduction to using the periodic table to determine electron configurations", "image_url": "https://img.youtube.com/vi/RJlEH5Jz80w/hqdefault.jpg", "youtube_id": "RJlEH5Jz80w", "content_kind": "Video", "readable_id": "electron-configurations"}, {"translated_youtube_id": "YURReI6OJsg", "relative_url": "/video/electron-configurations-2", "has_questions": false, "keywords": "electron, configuration", "ka_url": "http://www.khanacademy.org/video/electron-configurations-2", "duration": 618, "translated_title": "Electron configurations 2", "translated_description_html": "Figuring out configurations for the d-block elements", "id": "355057", "description_html": "Figuring out configurations for the d-block elements", "title": "Electron configurations 2", "progress_key": "v355057", "edit_slug": "edit/v/355057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Figuring out configurations for the d-block elements", "extra_properties": {"original_url": ""}, "node_slug": "v/electron-configurations-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YURReI6OJsg.mp4/YURReI6OJsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YURReI6OJsg.mp4/YURReI6OJsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YURReI6OJsg.m3u8/YURReI6OJsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YURReI6OJsg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v355057", "sha": "219216b9db4bc67a273a6613e7486a22467dbafa", "translated_description": "Figuring out configurations for the d-block elements", "image_url": "https://img.youtube.com/vi/YURReI6OJsg/hqdefault.jpg", "youtube_id": "YURReI6OJsg", "content_kind": "Video", "readable_id": "electron-configurations-2"}, {"translated_youtube_id": "1TZA171yxY4", "relative_url": "/video/valence-electrons", "has_questions": false, "keywords": "valence, lewis, chemistry", "ka_url": "http://www.khanacademy.org/video/valence-electrons", "duration": 923, "translated_title": "Valence electrons", "translated_description_html": "Looking at valence electrons to figure out reactivity", "id": "381052", "description_html": "Looking at valence electrons to figure out reactivity", "title": "Valence electrons", "progress_key": "v381052", "edit_slug": "edit/v/381052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking at valence electrons to figure out reactivity", "extra_properties": null, "node_slug": "v/valence-electrons", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.mp4/1TZA171yxY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.mp4/1TZA171yxY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.m3u8/1TZA171yxY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1TZA171yxY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v381052", "sha": "ccec6fb97dd1aa23685158a9c7d18823ec6a2af2", "translated_description": "Looking at valence electrons to figure out reactivity", "image_url": "https://img.youtube.com/vi/1TZA171yxY4/hqdefault.jpg", "youtube_id": "1TZA171yxY4", "content_kind": "Video", "readable_id": "valence-electrons"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "orbitals-and-electrons", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T01:22:43Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5247460c", "topic_page_url": "/science/chemistry/orbitals-and-electrons", "extended_slug": "science/chemistry/orbitals-and-electrons", "slug": "orbitals-and-electrons", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "eab34e24b0a212bc5bfe05334ec0847d1086cdfc", "standalone_title": "Orbitals and Electrons", "y_pos": 0.0, "current_revision_key": "eab34e24b0a212bc5bfe05334ec0847d1086cdfc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/periodic-table-trends-bonding", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/periodic-table-trends-bonding", "translated_standalone_title": "Periodic table, trends, and bonding", "translated_title": "Periodic table, trends, and bonding", "gplus_url": "", "id": "x01c14bf5", "old_key_name": "Ao_EqIM7qyRrm-RVVIau9zmbm8hGSf00qK3FdRRo", "hide": false, "title": "Periodic table, trends, and bonding", "child_data": [{"kind": "Video", "id": 431003}, {"kind": "Video", "id": 381052}, {"kind": "Video", "id": 382067}, {"kind": "Video", "id": 403029}, {"kind": "Video", "id": 389051}], "children": [{"translated_youtube_id": "LDHg7Vgzses", "relative_url": "/video/groups-of-the-periodic-table", "has_questions": false, "keywords": "chemistry, groups, periodic, table, noble, alkali, alkaline, earth, metals", "ka_url": "http://www.khanacademy.org/video/groups-of-the-periodic-table", "duration": 711, "translated_title": "Groups of the periodic table", "translated_description_html": "Properties of alkali, alkaline earth and transition metals. Halogens and noble gases.", "id": "431003", "description_html": "Properties of alkali, alkaline earth and transition metals. Halogens and noble gases.", "title": "Groups of the periodic table", "progress_key": "v431003", "edit_slug": "edit/v/431003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Properties of alkali, alkaline earth and transition metals. Halogens and noble gases.", "extra_properties": null, "node_slug": "v/groups-of-the-periodic-table", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LDHg7Vgzses.mp4/LDHg7Vgzses.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LDHg7Vgzses.mp4/LDHg7Vgzses.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LDHg7Vgzses.m3u8/LDHg7Vgzses.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LDHg7Vgzses&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v431003", "sha": "e57a71858a8cef4e73a0f6bff91e7233c6de045b", "translated_description": "Properties of alkali, alkaline earth and transition metals. Halogens and noble gases.", "image_url": "https://img.youtube.com/vi/LDHg7Vgzses/hqdefault.jpg", "youtube_id": "LDHg7Vgzses", "content_kind": "Video", "readable_id": "groups-of-the-periodic-table"}, {"translated_youtube_id": "1TZA171yxY4", "relative_url": "/video/valence-electrons", "has_questions": false, "keywords": "valence, lewis, chemistry", "ka_url": "http://www.khanacademy.org/video/valence-electrons", "duration": 923, "translated_title": "Valence electrons", "translated_description_html": "Looking at valence electrons to figure out reactivity", "id": "381052", "description_html": "Looking at valence electrons to figure out reactivity", "title": "Valence electrons", "progress_key": "v381052", "edit_slug": "edit/v/381052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking at valence electrons to figure out reactivity", "extra_properties": null, "node_slug": "v/valence-electrons", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:34:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.mp4/1TZA171yxY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.mp4/1TZA171yxY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1TZA171yxY4.m3u8/1TZA171yxY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1TZA171yxY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v381052", "sha": "ccec6fb97dd1aa23685158a9c7d18823ec6a2af2", "translated_description": "Looking at valence electrons to figure out reactivity", "image_url": "https://img.youtube.com/vi/1TZA171yxY4/hqdefault.jpg", "youtube_id": "1TZA171yxY4", "content_kind": "Video", "readable_id": "valence-electrons"}, {"translated_youtube_id": "ywqg9PorTAw", "relative_url": "/video/periodic-table-trends--ionization-energy", "has_questions": false, "keywords": "ion, ionization, energy, chemistry", "ka_url": "http://www.khanacademy.org/video/periodic-table-trends--ionization-energy", "duration": 733, "translated_title": "Periodic table trends: Ionization energy", "translated_description_html": "What an ion is. Using the periodic table to understand how difficult it is to ionize an atom.", "id": "382067", "description_html": "What an ion is. Using the periodic table to understand how difficult it is to ionize an atom.", "title": "Periodic table trends: Ionization energy", "progress_key": "v382067", "edit_slug": "edit/v/382067", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What an ion is. Using the periodic table to understand how difficult it is to ionize an atom.", "extra_properties": null, "node_slug": "v/periodic-table-trends--ionization-energy", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ywqg9PorTAw.mp4/ywqg9PorTAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ywqg9PorTAw.mp4/ywqg9PorTAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ywqg9PorTAw.m3u8/ywqg9PorTAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ywqg9PorTAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v382067", "sha": "3401a6ca0feb52825eb7104b48df83fcaf3e5ba5", "translated_description": "What an ion is. Using the periodic table to understand how difficult it is to ionize an atom.", "image_url": "https://img.youtube.com/vi/ywqg9PorTAw/hqdefault.jpg", "youtube_id": "ywqg9PorTAw", "content_kind": "Video", "readable_id": "periodic-table-trends--ionization-energy"}, {"translated_youtube_id": "XMLd-O6PgVs", "relative_url": "/video/other-periodic-table-trends", "has_questions": false, "keywords": "chemistry, periodic, table, trends", "ka_url": "http://www.khanacademy.org/video/other-periodic-table-trends", "duration": 939, "translated_title": "Other periodic table trends", "translated_description_html": "Electronegativity, metallic nature and atomic radius.", "id": "403029", "description_html": "Electronegativity, metallic nature and atomic radius.", "title": "Other periodic table trends", "progress_key": "v403029", "edit_slug": "edit/v/403029", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Electronegativity, metallic nature and atomic radius.", "extra_properties": null, "node_slug": "v/other-periodic-table-trends", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMLd-O6PgVs.mp4/XMLd-O6PgVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMLd-O6PgVs.mp4/XMLd-O6PgVs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMLd-O6PgVs.m3u8/XMLd-O6PgVs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMLd-O6PgVs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v403029", "sha": "f8c15b38717c428ddf30e842d427576df87270b8", "translated_description": "Electronegativity, metallic nature and atomic radius.", "image_url": "https://img.youtube.com/vi/XMLd-O6PgVs/hqdefault.jpg", "youtube_id": "XMLd-O6PgVs", "content_kind": "Video", "readable_id": "other-periodic-table-trends"}, {"translated_youtube_id": "CGA8sRwqIFg", "relative_url": "/video/ionic--covalent--and-metallic-bonds", "has_questions": false, "keywords": "chemisty, bonding, covalent, ionic, bond, bonds, science", "ka_url": "http://www.khanacademy.org/video/ionic--covalent--and-metallic-bonds", "duration": 802, "translated_title": "Ionic, covalent, and metallic bonds", "translated_description_html": "Introduction to ionic, covalent, polar covalent and metallic bonds.", "id": "389051", "description_html": "Introduction to ionic, covalent, polar covalent and metallic bonds.", "title": "Ionic, covalent, and metallic bonds", "progress_key": "v389051", "edit_slug": "edit/v/389051", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to ionic, covalent, polar covalent and metallic bonds.", "extra_properties": null, "node_slug": "v/ionic--covalent--and-metallic-bonds", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGA8sRwqIFg.mp4/CGA8sRwqIFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGA8sRwqIFg.mp4/CGA8sRwqIFg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGA8sRwqIFg.m3u8/CGA8sRwqIFg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGA8sRwqIFg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v389051", "sha": "c405001ea9a2a7e9b7a1fcd412c5520309934a00", "translated_description": "Introduction to ionic, covalent, polar covalent and metallic bonds.", "image_url": "https://img.youtube.com/vi/CGA8sRwqIFg/hqdefault.jpg", "youtube_id": "CGA8sRwqIFg", "content_kind": "Video", "readable_id": "ionic--covalent--and-metallic-bonds"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "periodic-table-trends-bonding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax01c14bf5", "topic_page_url": "/science/chemistry/periodic-table-trends-bonding", "extended_slug": "science/chemistry/periodic-table-trends-bonding", "slug": "periodic-table-trends-bonding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fe4ca6562881bcea6a347d59523e823a5b970ff0", "standalone_title": "Periodic table, trends, and bonding", "y_pos": 0.0, "current_revision_key": "fe4ca6562881bcea6a347d59523e823a5b970ff0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/chemical-reactions-stoichiometry", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiometry", "translated_standalone_title": "Chemical reactions (stoichiometry)", "translated_title": "Chemical reactions (stoichiometry)", "gplus_url": "", "id": "x0046c0fa", "old_key_name": "krv7RmTcIyW77aTovDgu4Cu_ko_BwBECsZiucTHk", "hide": false, "title": "Chemical reactions (stoichiometry)", "child_data": [{"kind": "Video", "id": 418010}, {"kind": "Video", "id": 364061}, {"kind": "Video", "id": 432002}, {"kind": "Video", "id": 378044}, {"kind": "Video", "id": 364062}, {"kind": "Scratchpad", "id": 1406253871}, {"kind": "Exercise", "id": 1280176961}, {"kind": "Video", "id": 379047}, {"kind": "Video", "id": 24648}, {"kind": "Video", "id": 24650}, {"kind": "Exercise", "id": 1280262369}, {"kind": "Video", "id": 389052}, {"kind": "Video", "id": 24652}, {"kind": "Exercise", "id": 1280388060}, {"kind": "Video", "id": 6022723}, {"kind": "Video", "id": 6022724}], "children": [{"translated_youtube_id": "gfBcM3uvWfs", "relative_url": "/video/molecular-and-empirical-formulas", "has_questions": false, "keywords": "molecular, empirical, structural, formulas, chemistry, science", "ka_url": "http://www.khanacademy.org/video/molecular-and-empirical-formulas", "duration": 954, "translated_title": "Molecular and empirical formulas", "translated_description_html": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "id": "418010", "description_html": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "title": "Molecular and empirical formulas", "progress_key": "v418010", "edit_slug": "edit/v/418010", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "extra_properties": null, "node_slug": "v/molecular-and-empirical-formulas", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.mp4/gfBcM3uvWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.mp4/gfBcM3uvWfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.m3u8/gfBcM3uvWfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gfBcM3uvWfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418010", "sha": "844481d60cb2dd53298fda0a8ea2f0957f0df2c2", "translated_description": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "image_url": "https://img.youtube.com/vi/gfBcM3uvWfs/hqdefault.jpg", "youtube_id": "gfBcM3uvWfs", "content_kind": "Video", "readable_id": "molecular-and-empirical-formulas"}, {"translated_youtube_id": "AsqEkF7hcII", "relative_url": "/video/the-mole-and-avogadro-s-number", "has_questions": false, "keywords": "mole, chemistry, avogadro's, number", "ka_url": "http://www.khanacademy.org/video/the-mole-and-avogadro-s-number", "duration": 584, "translated_title": "The mole and avogadro's number", "translated_description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "id": "364061", "description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "title": "The mole and avogadro's number", "progress_key": "v364061", "edit_slug": "edit/v/364061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "extra_properties": {"original_url": ""}, "node_slug": "v/the-mole-and-avogadro-s-number", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.m3u8/AsqEkF7hcII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AsqEkF7hcII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364061", "sha": "dc0e0001f8470b6a56a0f01a79ca801145863cc8", "translated_description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "image_url": "https://img.youtube.com/vi/AsqEkF7hcII/hqdefault.jpg", "youtube_id": "AsqEkF7hcII", "content_kind": "Video", "readable_id": "the-mole-and-avogadro-s-number"}, {"translated_youtube_id": "xatVrAh2U0E", "relative_url": "/video/formula-from-mass-composition", "has_questions": false, "keywords": "mass, composition, moles, empirical, formula", "ka_url": "http://www.khanacademy.org/video/formula-from-mass-composition", "duration": 778, "translated_title": "Formula from mass composition", "translated_description_html": "

Figuring out the empirical formula from a molecules mass composition.<\/span><\/p>\n", "id": "432002", "description_html": "

Figuring out the empirical formula from a molecules mass composition.<\/span><\/p>\n", "title": "Formula from mass composition", "progress_key": "v432002", "edit_slug": "edit/v/432002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out the empirical formula from a molecules mass composition.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/formula-from-mass-composition", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.mp4/xatVrAh2U0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.mp4/xatVrAh2U0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.m3u8/xatVrAh2U0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xatVrAh2U0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v432002", "sha": "c8ac705b0057d5978ede27f01e33063ca42cfff9", "translated_description": "Figuring out the empirical formula from a molecules mass composition.\n", "image_url": "https://img.youtube.com/vi/xatVrAh2U0E/hqdefault.jpg", "youtube_id": "xatVrAh2U0E", "content_kind": "Video", "readable_id": "formula-from-mass-composition"}, {"translated_youtube_id": "sXOIIEZh6qg", "relative_url": "/video/another-mass-composition-problem", "has_questions": false, "keywords": "empirical, formula, chemistry, science, mole", "ka_url": "http://www.khanacademy.org/video/another-mass-composition-problem", "duration": 401, "translated_title": "Another mass composition problem", "translated_description_html": "Another exercise converting a mass composition to an empirical formula.", "id": "378044", "description_html": "Another exercise converting a mass composition to an empirical formula.", "title": "Another mass composition problem", "progress_key": "v378044", "edit_slug": "edit/v/378044", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Another exercise converting a mass composition to an empirical formula.", "extra_properties": null, "node_slug": "v/another-mass-composition-problem", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sXOIIEZh6qg.mp4/sXOIIEZh6qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sXOIIEZh6qg.mp4/sXOIIEZh6qg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sXOIIEZh6qg.m3u8/sXOIIEZh6qg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sXOIIEZh6qg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v378044", "sha": "4aa276a4fe546e21173f1d1c8da2dc9bb054d276", "translated_description": "Another exercise converting a mass composition to an empirical formula.", "image_url": "https://img.youtube.com/vi/sXOIIEZh6qg/hqdefault.jpg", "youtube_id": "sXOIIEZh6qg", "content_kind": "Video", "readable_id": "another-mass-composition-problem"}, {"translated_youtube_id": "RnGu3xO2h74", "relative_url": "/video/balancing-chemical-equations", "has_questions": false, "keywords": "balancing, equations, chemistry", "ka_url": "http://www.khanacademy.org/video/balancing-chemical-equations", "duration": 868, "translated_title": "Balancing chemical equations", "translated_description_html": "

The art of balancing equations in chemistry! <\/span><\/p>\n", "id": "364062", "description_html": "

The art of balancing equations in chemistry! <\/span><\/p>\n", "title": "Balancing chemical equations", "progress_key": "v364062", "edit_slug": "edit/v/364062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The art of balancing equations in chemistry! \n", "extra_properties": {"original_url": ""}, "node_slug": "v/balancing-chemical-equations", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.mp4/RnGu3xO2h74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.mp4/RnGu3xO2h74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.m3u8/RnGu3xO2h74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RnGu3xO2h74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364062", "sha": "fab8a0ad0cb4e9b107057b71f80abf72e1576d64", "translated_description": "The art of balancing equations in chemistry! \n", "image_url": "https://img.youtube.com/vi/RnGu3xO2h74/hqdefault.jpg", "youtube_id": "RnGu3xO2h74", "content_kind": "Video", "readable_id": "balancing-chemical-equations"}, {"translated_youtube_id": "SjQG3rKSZUQ", "relative_url": "/video/stoichiometry", "has_questions": false, "keywords": "chemistry, reagent, reactant, stoichiometry", "ka_url": "http://www.khanacademy.org/video/stoichiometry", "duration": 596, "translated_title": "Stoichiometry", "translated_description_html": "

Introduction to stoichiometry.<\/span><\/p>\n", "id": "379047", "description_html": "

Introduction to stoichiometry.<\/span><\/p>\n", "title": "Stoichiometry", "progress_key": "v379047", "edit_slug": "edit/v/379047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction to stoichiometry.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.mp4/SjQG3rKSZUQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.mp4/SjQG3rKSZUQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.m3u8/SjQG3rKSZUQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SjQG3rKSZUQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v379047", "sha": "15495f218d9a6ffea2fc9d618df65fb329725179", "translated_description": "Introduction to stoichiometry.\n", "image_url": "https://img.youtube.com/vi/SjQG3rKSZUQ/hqdefault.jpg", "youtube_id": "SjQG3rKSZUQ", "content_kind": "Video", "readable_id": "stoichiometry"}, {"translated_youtube_id": "jFv6k2OV7IU", "relative_url": "/video/stoichiometry-example-problem-1", "has_questions": false, "keywords": "stoichiometry, reactant, product", "ka_url": "http://www.khanacademy.org/video/stoichiometry-example-problem-1", "duration": 815, "translated_title": "Stoichiometry example problem 1", "translated_description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "id": "24648", "description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "title": "Stoichiometry example problem 1", "progress_key": "v24648", "edit_slug": "edit/v/24648", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.m3u8/jFv6k2OV7IU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFv6k2OV7IU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24648", "sha": "ccf9063ba70bb3a537d6379931cb0560eb9dcb19", "translated_description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "image_url": "https://img.youtube.com/vi/jFv6k2OV7IU/hqdefault.jpg", "youtube_id": "jFv6k2OV7IU", "content_kind": "Video", "readable_id": "stoichiometry-example-problem-1"}, {"translated_youtube_id": "eQf_EAYGo-k", "relative_url": "/video/stoichiometry-example-problem-2", "has_questions": false, "keywords": "Stoichiometry, Example, Problem", "ka_url": "http://www.khanacademy.org/video/stoichiometry-example-problem-2", "duration": 1133, "translated_title": "Stoichiometry example problem 2", "translated_description_html": "", "id": "24650", "description_html": "", "title": "Stoichiometry example problem 2", "progress_key": "v24650", "edit_slug": "edit/v/24650", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry-example-problem-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.mp4/eQf_EAYGo-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.mp4/eQf_EAYGo-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eQf_EAYGo-k.m3u8/eQf_EAYGo-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eQf_EAYGo-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24650", "sha": "9a5d75ccdf093cf85fe096128e2dd7db2446ca9a", "translated_description": "", "image_url": "https://img.youtube.com/vi/eQf_EAYGo-k/hqdefault.jpg", "youtube_id": "eQf_EAYGo-k", "content_kind": "Video", "readable_id": "stoichiometry-example-problem-2"}, {"translated_youtube_id": "rESzyhPOJ7I", "relative_url": "/video/stoichiometry--limiting-reagent", "has_questions": false, "keywords": "chemistry, reagent, reactant, stoichiometry", "ka_url": "http://www.khanacademy.org/video/stoichiometry--limiting-reagent", "duration": 904, "translated_title": "Stoichiometry: Limiting reagent", "translated_description_html": "

Stoichiometry problem where we have a limiting reagent! <\/span><\/p>\n", "id": "389052", "description_html": "

Stoichiometry problem where we have a limiting reagent! <\/span><\/p>\n", "title": "Stoichiometry: Limiting reagent", "progress_key": "v389052", "edit_slug": "edit/v/389052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stoichiometry problem where we have a limiting reagent! \n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry--limiting-reagent", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.mp4/rESzyhPOJ7I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.mp4/rESzyhPOJ7I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.m3u8/rESzyhPOJ7I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rESzyhPOJ7I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v389052", "sha": "153fcdeac4f8cd745f2b7cd2e5fb8811f0ab56c1", "translated_description": "Stoichiometry problem where we have a limiting reagent! \n", "image_url": "https://img.youtube.com/vi/rESzyhPOJ7I/hqdefault.jpg", "youtube_id": "rESzyhPOJ7I", "content_kind": "Video", "readable_id": "stoichiometry--limiting-reagent"}, {"translated_youtube_id": "YNriRslOk9A", "relative_url": "/video/limiting-reactant-example-problem-1", "has_questions": false, "keywords": "Limiting, Reactant, Example, Problem", "ka_url": "http://www.khanacademy.org/video/limiting-reactant-example-problem-1", "duration": 1160, "translated_title": "Limiting reactant example problem 1", "translated_description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "id": "24652", "description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "title": "Limiting reactant example problem 1", "progress_key": "v24652", "edit_slug": "edit/v/24652", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Limiting Reactant Example Problem 1 \n", "extra_properties": {"original_url": ""}, "node_slug": "v/limiting-reactant-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.m3u8/YNriRslOk9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YNriRslOk9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24652", "sha": "37fe0b2936b134efca8abc7d22bf173fd4d1be36", "translated_description": "Limiting Reactant Example Problem 1 \n", "image_url": "https://img.youtube.com/vi/YNriRslOk9A/hqdefault.jpg", "youtube_id": "YNriRslOk9A", "content_kind": "Video", "readable_id": "limiting-reactant-example-problem-1"}, {"translated_youtube_id": "qbCZbP6_j48", "relative_url": "/video/spectrophotometry-introduction", "has_questions": false, "keywords": "Spectrophotometry, Transmittance, Absorbance, Beer-Lambert, Law", "ka_url": "http://www.khanacademy.org/video/spectrophotometry-introduction", "duration": 786, "translated_title": "Spectrophotometry introduction", "translated_description_html": "Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law", "id": "6022723", "description_html": "Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law", "title": "Spectrophotometry introduction", "progress_key": "v6022723", "edit_slug": "edit/v/6022723", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law", "extra_properties": null, "node_slug": "v/spectrophotometry-introduction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qbCZbP6_j48.mp4/qbCZbP6_j48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qbCZbP6_j48.mp4/qbCZbP6_j48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qbCZbP6_j48.m3u8/qbCZbP6_j48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qbCZbP6_j48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022723", "sha": "336e94038db16d88ab274ca45be40067245c0ecd", "translated_description": "Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law", "image_url": "https://img.youtube.com/vi/qbCZbP6_j48/hqdefault.jpg", "youtube_id": "qbCZbP6_j48", "content_kind": "Video", "readable_id": "spectrophotometry-introduction"}, {"translated_youtube_id": "VqAa_cmZ7OY", "relative_url": "/video/spectrophotometry-example", "has_questions": false, "keywords": "spectrophotometry, beer-lambert, absorbance", "ka_url": "http://www.khanacademy.org/video/spectrophotometry-example", "duration": 762, "translated_title": "Spectrophotometry example", "translated_description_html": "Spectrophotometry Example - Determining concentration based on absorbance", "id": "6022724", "description_html": "Spectrophotometry Example - Determining concentration based on absorbance", "title": "Spectrophotometry example", "progress_key": "v6022724", "edit_slug": "edit/v/6022724", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Spectrophotometry Example - Determining concentration based on absorbance", "extra_properties": null, "node_slug": "v/spectrophotometry-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VqAa_cmZ7OY.mp4/VqAa_cmZ7OY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VqAa_cmZ7OY.mp4/VqAa_cmZ7OY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VqAa_cmZ7OY.m3u8/VqAa_cmZ7OY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VqAa_cmZ7OY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022724", "sha": "2aaf4fd24cc87731ef6b302085502c5e046dc38f", "translated_description": "Spectrophotometry Example - Determining concentration based on absorbance", "image_url": "https://img.youtube.com/vi/VqAa_cmZ7OY/hqdefault.jpg", "youtube_id": "VqAa_cmZ7OY", "content_kind": "Video", "readable_id": "spectrophotometry-example"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "chemical-reactions-stoichiometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T23:38:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0046c0fa", "topic_page_url": "/science/chemistry/chemical-reactions-stoichiometry", "extended_slug": "science/chemistry/chemical-reactions-stoichiometry", "slug": "chemical-reactions-stoichiometry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3fd6c1045af3700e982e8944eab5d416868c7048", "standalone_title": "Chemical reactions (stoichiometry)", "y_pos": 0.0, "current_revision_key": "3fd6c1045af3700e982e8944eab5d416868c7048", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/ideal-gas-laws", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/ideal-gas-laws", "translated_standalone_title": "Ideal gas laws", "translated_title": "Ideal gas laws", "gplus_url": "", "id": "x88901cc3", "old_key_name": "Q28TeRuNxi3zRv2DBtx-cuRMbXJ5m5N3YVeoXkqW", "hide": false, "title": "Ideal gas laws", "child_data": [{"kind": "Video", "id": 408019}, {"kind": "Video", "id": 417005}, {"kind": "Video", "id": 418011}, {"kind": "Video", "id": 351060}, {"kind": "Video", "id": 423006}, {"kind": "Video", "id": 428007}, {"kind": "Video", "id": 6022729}], "children": [{"translated_youtube_id": "WScwPIPqZa0", "relative_url": "/video/ideal-gas-equation--pv-nrt", "has_questions": false, "keywords": "ideal, gas, law, pressure, volume, temperature", "ka_url": "http://www.khanacademy.org/video/ideal-gas-equation--pv-nrt", "duration": 562, "translated_title": "Ideal gas equation: PV = nRT", "translated_description_html": "Intuition behind the ideal gas equation: PV=nRT.", "id": "408019", "description_html": "Intuition behind the ideal gas equation: PV=nRT.", "title": "Ideal gas equation: PV = nRT", "progress_key": "v408019", "edit_slug": "edit/v/408019", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Intuition behind the ideal gas equation: PV=nRT.", "extra_properties": null, "node_slug": "v/ideal-gas-equation--pv-nrt", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WScwPIPqZa0.mp4/WScwPIPqZa0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WScwPIPqZa0.mp4/WScwPIPqZa0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WScwPIPqZa0.m3u8/WScwPIPqZa0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WScwPIPqZa0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v408019", "sha": "697ae4b809830eacf5518c419e41aff30e5675ba", "translated_description": "Intuition behind the ideal gas equation: PV=nRT.", "image_url": "https://img.youtube.com/vi/WScwPIPqZa0/hqdefault.jpg", "youtube_id": "WScwPIPqZa0", "content_kind": "Video", "readable_id": "ideal-gas-equation--pv-nrt"}, {"translated_youtube_id": "erjMiErRgSQ", "relative_url": "/video/ideal-gas-equation-example-1", "has_questions": false, "keywords": "ideal, gas, equation, chemistry", "ka_url": "http://www.khanacademy.org/video/ideal-gas-equation-example-1", "duration": 608, "translated_title": "Ideal gas equation example 1", "translated_description_html": "Figuring out the number of moles of gas we have using the ideal gas equation: PV=nRT.", "id": "417005", "description_html": "Figuring out the number of moles of gas we have using the ideal gas equation: PV=nRT.", "title": "Ideal gas equation example 1", "progress_key": "v417005", "edit_slug": "edit/v/417005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the number of moles of gas we have using the ideal gas equation: PV=nRT.", "extra_properties": null, "node_slug": "v/ideal-gas-equation-example-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/erjMiErRgSQ.mp4/erjMiErRgSQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/erjMiErRgSQ.mp4/erjMiErRgSQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/erjMiErRgSQ.m3u8/erjMiErRgSQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=erjMiErRgSQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v417005", "sha": "c6f523c54a8b054d76a44a788f3d571c7f4d63dd", "translated_description": "Figuring out the number of moles of gas we have using the ideal gas equation: PV=nRT.", "image_url": "https://img.youtube.com/vi/erjMiErRgSQ/hqdefault.jpg", "youtube_id": "erjMiErRgSQ", "content_kind": "Video", "readable_id": "ideal-gas-equation-example-1"}, {"translated_youtube_id": "GwoX_BemwHs", "relative_url": "/video/ideal-gas-equation-example-2", "has_questions": false, "keywords": "ideal, gas, equation, stp", "ka_url": "http://www.khanacademy.org/video/ideal-gas-equation-example-2", "duration": 781, "translated_title": "Ideal gas equation example 2", "translated_description_html": "PV/T is a constant. Figuring out the volume of an ideal gas at standard temperature and pressure (STP).", "id": "418011", "description_html": "PV/T is a constant. Figuring out the volume of an ideal gas at standard temperature and pressure (STP).", "title": "Ideal gas equation example 2", "progress_key": "v418011", "edit_slug": "edit/v/418011", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "PV/T is a constant. Figuring out the volume of an ideal gas at standard temperature and pressure (STP).", "extra_properties": null, "node_slug": "v/ideal-gas-equation-example-2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GwoX_BemwHs.mp4/GwoX_BemwHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GwoX_BemwHs.mp4/GwoX_BemwHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GwoX_BemwHs.m3u8/GwoX_BemwHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GwoX_BemwHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418011", "sha": "f44b39cf0515361b21db67ccf6f9bc8ccce197a1", "translated_description": "PV/T is a constant. Figuring out the volume of an ideal gas at standard temperature and pressure (STP).", "image_url": "https://img.youtube.com/vi/GwoX_BemwHs/hqdefault.jpg", "youtube_id": "GwoX_BemwHs", "content_kind": "Video", "readable_id": "ideal-gas-equation-example-2"}, {"translated_youtube_id": "69V-60sga3M", "relative_url": "/video/ideal-gas-equation-example-3", "has_questions": false, "keywords": "ideal, gas, oxygen, constant, pressure, volume", "ka_url": "http://www.khanacademy.org/video/ideal-gas-equation-example-3", "duration": 346, "translated_title": "Ideal gas equation example 3", "translated_description_html": "Figuring out the mass of Oxygen we have.", "id": "351060", "description_html": "Figuring out the mass of Oxygen we have.", "title": "Ideal gas equation example 3", "progress_key": "v351060", "edit_slug": "edit/v/351060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the mass of Oxygen we have.", "extra_properties": null, "node_slug": "v/ideal-gas-equation-example-3", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/69V-60sga3M.mp4/69V-60sga3M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/69V-60sga3M.mp4/69V-60sga3M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/69V-60sga3M.m3u8/69V-60sga3M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=69V-60sga3M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351060", "sha": "bce30c18c9c4a4bd5cb2d2f35bc8a880df1b7792", "translated_description": "Figuring out the mass of Oxygen we have.", "image_url": "https://img.youtube.com/vi/69V-60sga3M/hqdefault.jpg", "youtube_id": "69V-60sga3M", "content_kind": "Video", "readable_id": "ideal-gas-equation-example-3"}, {"translated_youtube_id": "Osl6HEDZZ-E", "relative_url": "/video/ideal-gas-example-4", "has_questions": false, "keywords": "molar, mass, ideal, gas, equation", "ka_url": "http://www.khanacademy.org/video/ideal-gas-example-4", "duration": 303, "translated_title": "Ideal gas equation example 4", "translated_description_html": "Figuring out the molar mass of a mystery molecule at STP.", "id": "423006", "description_html": "Figuring out the molar mass of a mystery molecule at STP.", "title": "Ideal gas equation example 4", "progress_key": "v423006", "edit_slug": "edit/v/423006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the molar mass of a mystery molecule at STP.", "extra_properties": {"original_url": ""}, "node_slug": "v/ideal-gas-example-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Osl6HEDZZ-E.mp4/Osl6HEDZZ-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Osl6HEDZZ-E.mp4/Osl6HEDZZ-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Osl6HEDZZ-E.m3u8/Osl6HEDZZ-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Osl6HEDZZ-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v423006", "sha": "e6cfb828faacccae0201b7fdceab3c18a8750ce5", "translated_description": "Figuring out the molar mass of a mystery molecule at STP.", "image_url": "https://img.youtube.com/vi/Osl6HEDZZ-E/hqdefault.jpg", "youtube_id": "Osl6HEDZZ-E", "content_kind": "Video", "readable_id": "ideal-gas-example-4"}, {"translated_youtube_id": "d4bqNf37mBY", "relative_url": "/video/partial-pressure", "has_questions": false, "keywords": "partial, pressure, chemistry", "ka_url": "http://www.khanacademy.org/video/partial-pressure", "duration": 909, "translated_title": "Partial pressure", "translated_description_html": "Figuring out the partial pressures of various gases in a container.", "id": "428007", "description_html": "Figuring out the partial pressures of various gases in a container.", "title": "Partial pressure", "progress_key": "v428007", "edit_slug": "edit/v/428007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the partial pressures of various gases in a container.", "extra_properties": null, "node_slug": "v/partial-pressure", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d4bqNf37mBY.mp4/d4bqNf37mBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d4bqNf37mBY.mp4/d4bqNf37mBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d4bqNf37mBY.m3u8/d4bqNf37mBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d4bqNf37mBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v428007", "sha": "f7446acbcc2c4d9201ea9a3afeba10603abf09d2", "translated_description": "Figuring out the partial pressures of various gases in a container.", "image_url": "https://img.youtube.com/vi/d4bqNf37mBY/hqdefault.jpg", "youtube_id": "d4bqNf37mBY", "content_kind": "Video", "readable_id": "partial-pressure"}, {"translated_youtube_id": "-QpkmwIoMaY", "relative_url": "/video/vapor-pressure-example", "has_questions": false, "keywords": "Vapor, pressure, ideal, gas, law, universal, constant, tutorial, educational", "ka_url": "http://www.khanacademy.org/video/vapor-pressure-example", "duration": 962, "translated_title": "Vapor pressure example", "translated_description_html": "Vapor pressure example using the Ideal Gas Law", "id": "6022729", "description_html": "Vapor pressure example using the Ideal Gas Law", "title": "Vapor pressure example", "progress_key": "v6022729", "edit_slug": "edit/v/6022729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vapor pressure example using the Ideal Gas Law", "extra_properties": null, "node_slug": "v/vapor-pressure-example", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:36:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-QpkmwIoMaY.mp4/-QpkmwIoMaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-QpkmwIoMaY.mp4/-QpkmwIoMaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-QpkmwIoMaY.m3u8/-QpkmwIoMaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-QpkmwIoMaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022729", "sha": "14ee114693866f397723543fc3fbe97a73dae971", "translated_description": "Vapor pressure example using the Ideal Gas Law", "image_url": "https://img.youtube.com/vi/-QpkmwIoMaY/hqdefault.jpg", "youtube_id": "-QpkmwIoMaY", "content_kind": "Video", "readable_id": "vapor-pressure-example"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "ideal-gas-laws", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax88901cc3", "topic_page_url": "/science/chemistry/ideal-gas-laws", "extended_slug": "science/chemistry/ideal-gas-laws", "slug": "ideal-gas-laws", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ec0e21d07223adf7b51bceaf9c023441b4f36d73", "standalone_title": "Ideal gas laws", "y_pos": 0.0, "current_revision_key": "ec0e21d07223adf7b51bceaf9c023441b4f36d73", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/states-of-matter", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/states-of-matter", "translated_standalone_title": "States of matter", "translated_title": "States of matter", "gplus_url": "", "id": "x33b4144d", "old_key_name": "axLO_TsPOyshxgLOfSyIdgLDO3HYC1LedvFVl_oq", "hide": false, "title": "States of matter", "child_data": [{"kind": "Video", "id": 360055}, {"kind": "Video", "id": 366059}, {"kind": "Video", "id": 418012}, {"kind": "Video", "id": 432003}, {"kind": "Video", "id": 373049}, {"kind": "Video", "id": 371058}, {"kind": "Video", "id": 413005}, {"kind": "Video", "id": 417006}, {"kind": "Video", "id": 364063}, {"kind": "Video", "id": 410034}, {"kind": "Video", "id": 421007}, {"kind": "Video", "id": 6022730}], "children": [{"translated_youtube_id": "pKvo0XWZtjo", "relative_url": "/video/states-of-matter", "has_questions": false, "keywords": "chemistry", "ka_url": "http://www.khanacademy.org/video/states-of-matter", "duration": 1164, "translated_title": "States of matter", "translated_description_html": "Introduction to the states or phases of matter.", "id": "360055", "description_html": "Introduction to the states or phases of matter.", "title": "States of matter", "progress_key": "v360055", "edit_slug": "edit/v/360055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the states or phases of matter.", "extra_properties": null, "node_slug": "v/states-of-matter", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pKvo0XWZtjo.mp4/pKvo0XWZtjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pKvo0XWZtjo.mp4/pKvo0XWZtjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pKvo0XWZtjo.m3u8/pKvo0XWZtjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pKvo0XWZtjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v360055", "sha": "9f19a1a6b37098265ef8911be0df613af8fb75fb", "translated_description": "Introduction to the states or phases of matter.", "image_url": "https://img.youtube.com/vi/pKvo0XWZtjo/hqdefault.jpg", "youtube_id": "pKvo0XWZtjo", "content_kind": "Video", "readable_id": "states-of-matter"}, {"translated_youtube_id": "WenwtcuqOj8", "relative_url": "/video/states-of-matter-follow-up", "has_questions": false, "keywords": "chemistry, states, phases, of, matter, hydrogen, bonds", "ka_url": "http://www.khanacademy.org/video/states-of-matter-follow-up", "duration": 525, "translated_title": "States of matter follow-up", "translated_description_html": "More on Plasma and Hydrogen bonds.", "id": "366059", "description_html": "More on Plasma and Hydrogen bonds.", "title": "States of matter follow-up", "progress_key": "v366059", "edit_slug": "edit/v/366059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More on Plasma and Hydrogen bonds.", "extra_properties": null, "node_slug": "v/states-of-matter-follow-up", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WenwtcuqOj8.mp4/WenwtcuqOj8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WenwtcuqOj8.mp4/WenwtcuqOj8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WenwtcuqOj8.m3u8/WenwtcuqOj8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WenwtcuqOj8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v366059", "sha": "3bf15a77f671af0efdc9c7ba84f642475ba2866e", "translated_description": "More on Plasma and Hydrogen bonds.", "image_url": "https://img.youtube.com/vi/WenwtcuqOj8/hqdefault.jpg", "youtube_id": "WenwtcuqOj8", "content_kind": "Video", "readable_id": "states-of-matter-follow-up"}, {"translated_youtube_id": "zz4KbvF_X-0", "relative_url": "/video/specific-heat--heat-of-fusion-and-vaporization", "has_questions": false, "keywords": "chemistry, specific, heat, phase, changes", "ka_url": "http://www.khanacademy.org/video/specific-heat--heat-of-fusion-and-vaporization", "duration": 889, "translated_title": "Specific heat, heat of fusion and vaporization", "translated_description_html": "Specifict heat and phase changes: Calculating how much heat is needed to convert 200g of ice at -10C to 110 degree steam.", "id": "418012", "description_html": "Specifict heat and phase changes: Calculating how much heat is needed to convert 200g of ice at -10C to 110 degree steam.", "title": "Specific heat, heat of fusion and vaporization", "progress_key": "v418012", "edit_slug": "edit/v/418012", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Specifict heat and phase changes: Calculating how much heat is needed to convert 200g of ice at -10C to 110 degree steam.", "extra_properties": null, "node_slug": "v/specific-heat--heat-of-fusion-and-vaporization", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zz4KbvF_X-0.mp4/zz4KbvF_X-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zz4KbvF_X-0.mp4/zz4KbvF_X-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zz4KbvF_X-0.m3u8/zz4KbvF_X-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zz4KbvF_X-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418012", "sha": "791aecdccb102756b33b9dea488519f74bc22c0a", "translated_description": "Specifict heat and phase changes: Calculating how much heat is needed to convert 200g of ice at -10C to 110 degree steam.", "image_url": "https://img.youtube.com/vi/zz4KbvF_X-0/hqdefault.jpg", "youtube_id": "zz4KbvF_X-0", "content_kind": "Video", "readable_id": "specific-heat--heat-of-fusion-and-vaporization"}, {"translated_youtube_id": "lsXcKgjg8Hs", "relative_url": "/video/chilling-water-problem", "has_questions": false, "keywords": "chemistry, states, phase, water, melting, fusion", "ka_url": "http://www.khanacademy.org/video/chilling-water-problem", "duration": 683, "translated_title": "Chilling water problem", "translated_description_html": "How much ice at -10 degrees C is necessary to get 500g of water down to 0 degrees C?", "id": "432003", "description_html": "How much ice at -10 degrees C is necessary to get 500g of water down to 0 degrees C?", "title": "Chilling water problem", "progress_key": "v432003", "edit_slug": "edit/v/432003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How much ice at -10 degrees C is necessary to get 500g of water down to 0 degrees C?", "extra_properties": null, "node_slug": "v/chilling-water-problem", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lsXcKgjg8Hs.mp4/lsXcKgjg8Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lsXcKgjg8Hs.mp4/lsXcKgjg8Hs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lsXcKgjg8Hs.m3u8/lsXcKgjg8Hs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lsXcKgjg8Hs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v432003", "sha": "0ba64fe46ca7e966a214513357e97f7a2b310a9d", "translated_description": "How much ice at -10 degrees C is necessary to get 500g of water down to 0 degrees C?", "image_url": "https://img.youtube.com/vi/lsXcKgjg8Hs/hqdefault.jpg", "youtube_id": "lsXcKgjg8Hs", "content_kind": "Video", "readable_id": "chilling-water-problem"}, {"translated_youtube_id": "Qp87Z4m8R-w", "relative_url": "/video/phase-diagrams", "has_questions": false, "keywords": "chemistry, phase, diagram", "ka_url": "http://www.khanacademy.org/video/phase-diagrams", "duration": 756, "translated_title": "Phase diagrams", "translated_description_html": "Understanding and interpreting phase diagrams", "id": "373049", "description_html": "Understanding and interpreting phase diagrams", "title": "Phase diagrams", "progress_key": "v373049", "edit_slug": "edit/v/373049", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding and interpreting phase diagrams", "extra_properties": null, "node_slug": "v/phase-diagrams", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qp87Z4m8R-w.mp4/Qp87Z4m8R-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qp87Z4m8R-w.mp4/Qp87Z4m8R-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qp87Z4m8R-w.m3u8/Qp87Z4m8R-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qp87Z4m8R-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v373049", "sha": "5c103bc2348aa748548c89bb29356c0a2fa5e11b", "translated_description": "Understanding and interpreting phase diagrams", "image_url": "https://img.youtube.com/vi/Qp87Z4m8R-w/hqdefault.jpg", "youtube_id": "Qp87Z4m8R-w", "content_kind": "Video", "readable_id": "phase-diagrams"}, {"translated_youtube_id": "8qfzpJvsp04", "relative_url": "/video/van-der-waals-forces", "has_questions": false, "keywords": "chemistry, van, der, waals, london, dispersion, dipole", "ka_url": "http://www.khanacademy.org/video/van-der-waals-forces", "duration": 699, "translated_title": "Van der waals forces", "translated_description_html": "Van Der Waals Forces: London Dispersion Forces, Dipole Attractions, and Hydrogen Bonds.", "id": "371058", "description_html": "Van Der Waals Forces: London Dispersion Forces, Dipole Attractions, and Hydrogen Bonds.", "title": "Van der waals forces", "progress_key": "v371058", "edit_slug": "edit/v/371058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Van Der Waals Forces: London Dispersion Forces, Dipole Attractions, and Hydrogen Bonds.", "extra_properties": null, "node_slug": "v/van-der-waals-forces", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8qfzpJvsp04.mp4/8qfzpJvsp04.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8qfzpJvsp04.mp4/8qfzpJvsp04.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8qfzpJvsp04.m3u8/8qfzpJvsp04.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8qfzpJvsp04&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v371058", "sha": "bbfa1118b3d5fb16960303dabefd6e171db67b5f", "translated_description": "Van Der Waals Forces: London Dispersion Forces, Dipole Attractions, and Hydrogen Bonds.", "image_url": "https://img.youtube.com/vi/8qfzpJvsp04/hqdefault.jpg", "youtube_id": "8qfzpJvsp04", "content_kind": "Video", "readable_id": "van-der-waals-forces"}, {"translated_youtube_id": "Rw_pDVbnfQk", "relative_url": "/video/covalent-networks--metallic--and-ionic-crystals", "has_questions": false, "keywords": "chemistry, covalent, molecular", "ka_url": "http://www.khanacademy.org/video/covalent-networks--metallic--and-ionic-crystals", "duration": 554, "translated_title": "Covalent networks, metallic, and ionic crystals", "translated_description_html": "Covalent Networks, Metallic, and Ionic Crystals: Some of the strongest molecular structures.", "id": "413005", "description_html": "Covalent Networks, Metallic, and Ionic Crystals: Some of the strongest molecular structures.", "title": "Covalent networks, metallic, and ionic crystals", "progress_key": "v413005", "edit_slug": "edit/v/413005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Covalent Networks, Metallic, and Ionic Crystals: Some of the strongest molecular structures.", "extra_properties": null, "node_slug": "v/covalent-networks--metallic--and-ionic-crystals", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rw_pDVbnfQk.mp4/Rw_pDVbnfQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rw_pDVbnfQk.mp4/Rw_pDVbnfQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rw_pDVbnfQk.m3u8/Rw_pDVbnfQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rw_pDVbnfQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v413005", "sha": "427d62e4a61d81bbcd4a94a097fc19ba5dac5880", "translated_description": "Covalent Networks, Metallic, and Ionic Crystals: Some of the strongest molecular structures.", "image_url": "https://img.youtube.com/vi/Rw_pDVbnfQk/hqdefault.jpg", "youtube_id": "Rw_pDVbnfQk", "content_kind": "Video", "readable_id": "covalent-networks--metallic--and-ionic-crystals"}, {"translated_youtube_id": "hA5jddDYcyg", "relative_url": "/video/vapor-pressure", "has_questions": false, "keywords": "chemistry, vapor, pressure", "ka_url": "http://www.khanacademy.org/video/vapor-pressure", "duration": 1084, "translated_title": "Vapor pressure", "translated_description_html": "Vapor Pressure, Volatility, and Evaporation", "id": "417006", "description_html": "Vapor Pressure, Volatility, and Evaporation", "title": "Vapor pressure", "progress_key": "v417006", "edit_slug": "edit/v/417006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vapor Pressure, Volatility, and Evaporation", "extra_properties": null, "node_slug": "v/vapor-pressure", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hA5jddDYcyg.mp4/hA5jddDYcyg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hA5jddDYcyg.mp4/hA5jddDYcyg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hA5jddDYcyg.m3u8/hA5jddDYcyg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hA5jddDYcyg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v417006", "sha": "23ed42a3b5f011574b37300e1cc31e5ec84d86fd", "translated_description": "Vapor Pressure, Volatility, and Evaporation", "image_url": "https://img.youtube.com/vi/hA5jddDYcyg/hqdefault.jpg", "youtube_id": "hA5jddDYcyg", "content_kind": "Video", "readable_id": "vapor-pressure"}, {"translated_youtube_id": "3ROWXs3jtQU", "relative_url": "/video/suspensions--colloids-and-solutions", "has_questions": false, "keywords": "chemistry, mixture, Molarity, molality", "ka_url": "http://www.khanacademy.org/video/suspensions--colloids-and-solutions", "duration": 837, "translated_title": "Suspensions, colloids and solutions", "translated_description_html": "Suspensions, Colloids and Solutions. The difference between Molarity and Molality.", "id": "364063", "description_html": "Suspensions, Colloids and Solutions. The difference between Molarity and Molality.", "title": "Suspensions, colloids and solutions", "progress_key": "v364063", "edit_slug": "edit/v/364063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Suspensions, Colloids and Solutions. The difference between Molarity and Molality.", "extra_properties": null, "node_slug": "v/suspensions--colloids-and-solutions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ROWXs3jtQU.mp4/3ROWXs3jtQU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ROWXs3jtQU.mp4/3ROWXs3jtQU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ROWXs3jtQU.m3u8/3ROWXs3jtQU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ROWXs3jtQU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364063", "sha": "d00886c93bdd4bc0a02174f8ee17b868684a34d4", "translated_description": "Suspensions, Colloids and Solutions. The difference between Molarity and Molality.", "image_url": "https://img.youtube.com/vi/3ROWXs3jtQU/hqdefault.jpg", "youtube_id": "3ROWXs3jtQU", "content_kind": "Video", "readable_id": "suspensions--colloids-and-solutions"}, {"translated_youtube_id": "zjIVJh4JLNo", "relative_url": "/video/solubility", "has_questions": false, "keywords": "chemistry, solution, solubility", "ka_url": "http://www.khanacademy.org/video/solubility", "duration": 802, "translated_title": "Solubility", "translated_description_html": "Solubility of salt and gas solutes in liquid solvent.", "id": "410034", "description_html": "Solubility of salt and gas solutes in liquid solvent.", "title": "Solubility", "progress_key": "v410034", "edit_slug": "edit/v/410034", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Solubility of salt and gas solutes in liquid solvent.", "extra_properties": null, "node_slug": "v/solubility", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zjIVJh4JLNo.mp4/zjIVJh4JLNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zjIVJh4JLNo.mp4/zjIVJh4JLNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zjIVJh4JLNo.m3u8/zjIVJh4JLNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zjIVJh4JLNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v410034", "sha": "25368bcd0595c793a6c60d75c9a3e2106d913b63", "translated_description": "Solubility of salt and gas solutes in liquid solvent.", "image_url": "https://img.youtube.com/vi/zjIVJh4JLNo/hqdefault.jpg", "youtube_id": "zjIVJh4JLNo", "content_kind": "Video", "readable_id": "solubility"}, {"translated_youtube_id": "z9LxdqYntlU", "relative_url": "/video/boiling-point-elevation-and-freezing-point-supression", "has_questions": false, "keywords": "chemistry, solution, molality", "ka_url": "http://www.khanacademy.org/video/boiling-point-elevation-and-freezing-point-supression", "duration": 840, "translated_title": "Boiling point elevation and freezing point suppression", "translated_description_html": "Raising or lowering the boiling or freezing point of a solution by adding solute.", "id": "421007", "description_html": "Raising or lowering the boiling or freezing point of a solution by adding solute.", "title": "Boiling point elevation and freezing point suppression", "progress_key": "v421007", "edit_slug": "edit/v/421007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raising or lowering the boiling or freezing point of a solution by adding solute.", "extra_properties": null, "node_slug": "v/boiling-point-elevation-and-freezing-point-supression", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z9LxdqYntlU.mp4/z9LxdqYntlU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z9LxdqYntlU.mp4/z9LxdqYntlU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z9LxdqYntlU.m3u8/z9LxdqYntlU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z9LxdqYntlU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v421007", "sha": "e70783a5f797519f1d8f9b9f8c6f8c4ee8c3ba9b", "translated_description": "Raising or lowering the boiling or freezing point of a solution by adding solute.", "image_url": "https://img.youtube.com/vi/z9LxdqYntlU/hqdefault.jpg", "youtube_id": "z9LxdqYntlU", "content_kind": "Video", "readable_id": "boiling-point-elevation-and-freezing-point-supression"}, {"translated_youtube_id": "tvO0358YUYM", "relative_url": "/video/change-of-state-example", "has_questions": false, "keywords": "Specific, Heat, Capacity, Enthalpy, of, Vaporization, State, Change, Changes", "ka_url": "http://www.khanacademy.org/video/change-of-state-example", "duration": 458, "translated_title": "Change of state example", "translated_description_html": "Specific Heat Capacity and Enthalpy of Vaporization example", "id": "6022730", "description_html": "Specific Heat Capacity and Enthalpy of Vaporization example", "title": "Change of state example", "progress_key": "v6022730", "edit_slug": "edit/v/6022730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Specific Heat Capacity and Enthalpy of Vaporization example", "extra_properties": null, "node_slug": "v/change-of-state-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:36:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvO0358YUYM.mp4/tvO0358YUYM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvO0358YUYM.mp4/tvO0358YUYM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvO0358YUYM.m3u8/tvO0358YUYM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvO0358YUYM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022730", "sha": "062b6968fdc498f550c56ec160d5d81b2c67621e", "translated_description": "Specific Heat Capacity and Enthalpy of Vaporization example", "image_url": "https://img.youtube.com/vi/tvO0358YUYM/hqdefault.jpg", "youtube_id": "tvO0358YUYM", "content_kind": "Video", "readable_id": "change-of-state-example"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "states-of-matter", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax33b4144d", "topic_page_url": "/science/chemistry/states-of-matter", "extended_slug": "science/chemistry/states-of-matter", "slug": "states-of-matter", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d6b12eba61757a213491dc51f7823299f2e51dc4", "standalone_title": "States of matter", "y_pos": 0.0, "current_revision_key": "d6b12eba61757a213491dc51f7823299f2e51dc4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/reaction-rates", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/reaction-rates", "translated_standalone_title": "Reaction rates", "translated_title": "Reaction rates", "gplus_url": "", "id": "xd62c9e8c", "old_key_name": "7ke06NdptGZzknzZehMO85SSxSUSvxQ7pQRcy-Jv", "hide": false, "title": "Reaction rates", "child_data": [{"kind": "Video", "id": 414004}, {"kind": "Video", "id": 429004}, {"kind": "Video", "id": 426005}, {"kind": "Video", "id": 385052}, {"kind": "Video", "id": 403030}, {"kind": "Video", "id": 419007}, {"kind": "Video", "id": 388057}, {"kind": "Video", "id": 353054}], "children": [{"translated_youtube_id": "__zy-oOLPug", "relative_url": "/video/introduction-to-kinetics", "has_questions": false, "keywords": "chemistry, kinetics", "ka_url": "http://www.khanacademy.org/video/introduction-to-kinetics", "duration": 927, "translated_title": "Introduction to kinetics", "translated_description_html": "Kinetics, activation energy, activated complex and catalysts.", "id": "414004", "description_html": "Kinetics, activation energy, activated complex and catalysts.", "title": "Introduction to kinetics", "progress_key": "v414004", "edit_slug": "edit/v/414004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Kinetics, activation energy, activated complex and catalysts.", "extra_properties": null, "node_slug": "v/introduction-to-kinetics", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/__zy-oOLPug.mp4/__zy-oOLPug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/__zy-oOLPug.mp4/__zy-oOLPug.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/__zy-oOLPug.m3u8/__zy-oOLPug.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=__zy-oOLPug&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v414004", "sha": "08a986578597e9c90c009d5608f11a1ea797e050", "translated_description": "Kinetics, activation energy, activated complex and catalysts.", "image_url": "https://img.youtube.com/vi/__zy-oOLPug/hqdefault.jpg", "youtube_id": "__zy-oOLPug", "content_kind": "Video", "readable_id": "introduction-to-kinetics"}, {"translated_youtube_id": "CGJjjm7-DJ4", "relative_url": "/video/reactions-in-equilibrium", "has_questions": false, "keywords": "chemistry, equilibrium", "ka_url": "http://www.khanacademy.org/video/reactions-in-equilibrium", "duration": 891, "translated_title": "Reactions in equilibrium", "translated_description_html": "Equilibrium reactions and constants.", "id": "429004", "description_html": "Equilibrium reactions and constants.", "title": "Reactions in equilibrium", "progress_key": "v429004", "edit_slug": "edit/v/429004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equilibrium reactions and constants.", "extra_properties": null, "node_slug": "v/reactions-in-equilibrium", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGJjjm7-DJ4.mp4/CGJjjm7-DJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGJjjm7-DJ4.mp4/CGJjjm7-DJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGJjjm7-DJ4.m3u8/CGJjjm7-DJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGJjjm7-DJ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v429004", "sha": "a9a61233b8c9fbfc77e780b75134e5dd2f4775ed", "translated_description": "Equilibrium reactions and constants.", "image_url": "https://img.youtube.com/vi/CGJjjm7-DJ4/hqdefault.jpg", "youtube_id": "CGJjjm7-DJ4", "content_kind": "Video", "readable_id": "reactions-in-equilibrium"}, {"translated_youtube_id": "HBi8xjMchZc", "relative_url": "/video/mini-video-on-ion-size", "has_questions": false, "keywords": "chemistry, ion, diameter", "ka_url": "http://www.khanacademy.org/video/mini-video-on-ion-size", "duration": 184, "translated_title": "Mini-video on ion size", "translated_description_html": "Correcting a mistake and learning a bit about ion size", "id": "426005", "description_html": "Correcting a mistake and learning a bit about ion size", "title": "Mini-video on ion size", "progress_key": "v426005", "edit_slug": "edit/v/426005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Correcting a mistake and learning a bit about ion size", "extra_properties": null, "node_slug": "v/mini-video-on-ion-size", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HBi8xjMchZc.mp4/HBi8xjMchZc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HBi8xjMchZc.mp4/HBi8xjMchZc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HBi8xjMchZc.m3u8/HBi8xjMchZc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HBi8xjMchZc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v426005", "sha": "cf6cd85421442dcaf153511f57466207e40d8536", "translated_description": "Correcting a mistake and learning a bit about ion size", "image_url": "https://img.youtube.com/vi/HBi8xjMchZc/hqdefault.jpg", "youtube_id": "HBi8xjMchZc", "content_kind": "Video", "readable_id": "mini-video-on-ion-size"}, {"translated_youtube_id": "ONBJo7dXJm8", "relative_url": "/video/keq-intuition--mathy-and-not-necessary-to-progress", "has_questions": false, "keywords": "chemistry", "ka_url": "http://www.khanacademy.org/video/keq-intuition--mathy-and-not-necessary-to-progress", "duration": 772, "translated_title": "Keq intuition (mathy and not necessary to progress)", "translated_description_html": "A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.", "id": "385052", "description_html": "A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.", "title": "Keq intuition (mathy and not necessary to progress)", "progress_key": "v385052", "edit_slug": "edit/v/385052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.", "extra_properties": null, "node_slug": "v/keq-intuition--mathy-and-not-necessary-to-progress", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ONBJo7dXJm8.mp4/ONBJo7dXJm8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ONBJo7dXJm8.mp4/ONBJo7dXJm8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ONBJo7dXJm8.m3u8/ONBJo7dXJm8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ONBJo7dXJm8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v385052", "sha": "94fb2eb32cf3a70ce1c8eeac298827fba6ed65e2", "translated_description": "A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.", "image_url": "https://img.youtube.com/vi/ONBJo7dXJm8/hqdefault.jpg", "youtube_id": "ONBJo7dXJm8", "content_kind": "Video", "readable_id": "keq-intuition--mathy-and-not-necessary-to-progress"}, {"translated_youtube_id": "psLX080RQR8", "relative_url": "/video/keq-derivation-intuition--can-skip--bit-mathy", "has_questions": false, "keywords": "chemistry, haber, equilibrium", "ka_url": "http://www.khanacademy.org/video/keq-derivation-intuition--can-skip--bit-mathy", "duration": 950, "translated_title": "Keq derivation intuition (can skip; bit mathy)", "translated_description_html": "A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration.", "id": "403030", "description_html": "A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration.", "title": "Keq derivation intuition (can skip; bit mathy)", "progress_key": "v403030", "edit_slug": "edit/v/403030", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration.", "extra_properties": null, "node_slug": "v/keq-derivation-intuition--can-skip--bit-mathy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/psLX080RQR8.mp4/psLX080RQR8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/psLX080RQR8.mp4/psLX080RQR8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/psLX080RQR8.m3u8/psLX080RQR8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=psLX080RQR8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v403030", "sha": "e0da9b9bbad56436779a66329059aed6e7656b8b", "translated_description": "A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration.", "image_url": "https://img.youtube.com/vi/psLX080RQR8/hqdefault.jpg", "youtube_id": "psLX080RQR8", "content_kind": "Video", "readable_id": "keq-derivation-intuition--can-skip--bit-mathy"}, {"translated_youtube_id": "TsXlTWgyItw", "relative_url": "/video/heterogenous-equilibrium", "has_questions": false, "keywords": "chemistry", "ka_url": "http://www.khanacademy.org/video/heterogenous-equilibrium", "duration": 562, "translated_title": "Heterogeneous equilibrium", "translated_description_html": "Ignoring the solution or the solid state molecules when calculating the equilibrium constant.", "id": "419007", "description_html": "Ignoring the solution or the solid state molecules when calculating the equilibrium constant.", "title": "Heterogeneous equilibrium", "progress_key": "v419007", "edit_slug": "edit/v/419007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ignoring the solution or the solid state molecules when calculating the equilibrium constant.", "extra_properties": null, "node_slug": "v/heterogenous-equilibrium", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TsXlTWgyItw.mp4/TsXlTWgyItw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TsXlTWgyItw.mp4/TsXlTWgyItw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TsXlTWgyItw.m3u8/TsXlTWgyItw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TsXlTWgyItw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v419007", "sha": "c06cc8f85e3582496d5ce107b7b9709cc52eb3bf", "translated_description": "Ignoring the solution or the solid state molecules when calculating the equilibrium constant.", "image_url": "https://img.youtube.com/vi/TsXlTWgyItw/hqdefault.jpg", "youtube_id": "TsXlTWgyItw", "content_kind": "Video", "readable_id": "heterogenous-equilibrium"}, {"translated_youtube_id": "4-fEvpVNTlE", "relative_url": "/video/le-chatelier-s-principle", "has_questions": false, "keywords": "chemistry, dynamic, equilibrium, chatelier", "ka_url": "http://www.khanacademy.org/video/le-chatelier-s-principle", "duration": 883, "translated_title": "Le Chatelier's principle", "translated_description_html": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "id": "388057", "description_html": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "title": "Le Chatelier's principle", "progress_key": "v388057", "edit_slug": "edit/v/388057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "extra_properties": null, "node_slug": "v/le-chatelier-s-principle", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.mp4/4-fEvpVNTlE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.mp4/4-fEvpVNTlE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.m3u8/4-fEvpVNTlE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4-fEvpVNTlE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v388057", "sha": "85cba75eff66df7bfffdb95b24be5cfbec3c795c", "translated_description": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "image_url": "https://img.youtube.com/vi/4-fEvpVNTlE/hqdefault.jpg", "youtube_id": "4-fEvpVNTlE", "content_kind": "Video", "readable_id": "le-chatelier-s-principle"}, {"translated_youtube_id": "2q4vSKwaBtw", "relative_url": "/video/introduction-to-ph--poh--and-pkw", "has_questions": false, "keywords": "acide, base, chemistry, pH", "ka_url": "http://www.khanacademy.org/video/introduction-to-ph--poh--and-pkw", "duration": 1089, "translated_title": "Introduction to pH, pOH, and pKw", "translated_description_html": "Autoionization of water into hydronium and hydroxide ions. pH, pOH, and pKa.", "id": "353054", "description_html": "Autoionization of water into hydronium and hydroxide ions. pH, pOH, and pKa.", "title": "Introduction to pH, pOH, and pKw", "progress_key": "v353054", "edit_slug": "edit/v/353054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Autoionization of water into hydronium and hydroxide ions. pH, pOH, and pKa.", "extra_properties": null, "node_slug": "v/introduction-to-ph--poh--and-pkw", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2q4vSKwaBtw.mp4/2q4vSKwaBtw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2q4vSKwaBtw.mp4/2q4vSKwaBtw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2q4vSKwaBtw.m3u8/2q4vSKwaBtw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2q4vSKwaBtw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v353054", "sha": "887c15691b837dc9ba4b83d0e33b7f6afe44974b", "translated_description": "Autoionization of water into hydronium and hydroxide ions. pH, pOH, and pKa.", "image_url": "https://img.youtube.com/vi/2q4vSKwaBtw/hqdefault.jpg", "youtube_id": "2q4vSKwaBtw", "content_kind": "Video", "readable_id": "introduction-to-ph--poh--and-pkw"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "reaction-rates", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd62c9e8c", "topic_page_url": "/science/chemistry/reaction-rates", "extended_slug": "science/chemistry/reaction-rates", "slug": "reaction-rates", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "767cba90a468bdcc420726ee5c11b58d14580c33", "standalone_title": "Reaction rates", "y_pos": 0.0, "current_revision_key": "767cba90a468bdcc420726ee5c11b58d14580c33", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/acids-and-bases", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/acids-and-bases", "translated_standalone_title": "Acids and bases", "translated_title": "Acids and bases", "gplus_url": "", "id": "xb79ef290", "old_key_name": "3dirb2xaQl5SkV9mglbvAa5HapJDz_clQqjIT-FA", "hide": false, "title": "Acids and bases", "child_data": [{"kind": "Video", "id": 432004}, {"kind": "Video", "id": 373050}, {"kind": "Video", "id": 364064}, {"kind": "Video", "id": 390058}, {"kind": "Video", "id": 417007}, {"kind": "Video", "id": 362063}, {"kind": "Video", "id": 6022720}, {"kind": "Video", "id": 371059}, {"kind": "Video", "id": 430006}, {"kind": "Video", "id": 397056}, {"kind": "Video", "id": 382069}, {"kind": "Video", "id": 6022722}], "children": [{"translated_youtube_id": "vShCnTY1-T0", "relative_url": "/video/acid-base-introduction", "has_questions": false, "keywords": "chemistry, acid, base", "ka_url": "http://www.khanacademy.org/video/acid-base-introduction", "duration": 1117, "translated_title": "Acid base introduction", "translated_description_html": "Arrhenius, Bronsted Lowry, and Lewis Acids and Bases.", "id": "432004", "description_html": "Arrhenius, Bronsted Lowry, and Lewis Acids and Bases.", "title": "Acid base introduction", "progress_key": "v432004", "edit_slug": "edit/v/432004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Arrhenius, Bronsted Lowry, and Lewis Acids and Bases.", "extra_properties": null, "node_slug": "v/acid-base-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vShCnTY1-T0.mp4/vShCnTY1-T0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vShCnTY1-T0.mp4/vShCnTY1-T0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vShCnTY1-T0.m3u8/vShCnTY1-T0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vShCnTY1-T0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v432004", "sha": "524aed68d7193e0725b03ce1b40113ea83020403", "translated_description": "Arrhenius, Bronsted Lowry, and Lewis Acids and Bases.", "image_url": "https://img.youtube.com/vi/vShCnTY1-T0/hqdefault.jpg", "youtube_id": "vShCnTY1-T0", "content_kind": "Video", "readable_id": "acid-base-introduction"}, {"translated_youtube_id": "tS2YJPmKOFQ", "relative_url": "/video/ph--poh-of-strong-acids-and-bases", "has_questions": false, "keywords": "chemistry, ph", "ka_url": "http://www.khanacademy.org/video/ph--poh-of-strong-acids-and-bases", "duration": 889, "translated_title": "pH, pOH of strong acids and bases", "translated_description_html": "Calculating the pH or pOH of strong acids and bases.", "id": "373050", "description_html": "Calculating the pH or pOH of strong acids and bases.", "title": "pH, pOH of strong acids and bases", "progress_key": "v373050", "edit_slug": "edit/v/373050", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating the pH or pOH of strong acids and bases.", "extra_properties": null, "node_slug": "v/ph--poh-of-strong-acids-and-bases", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tS2YJPmKOFQ.mp4/tS2YJPmKOFQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tS2YJPmKOFQ.mp4/tS2YJPmKOFQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tS2YJPmKOFQ.m3u8/tS2YJPmKOFQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tS2YJPmKOFQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v373050", "sha": "b1900f37f63dc0a464f75f80156c24bf28d99bf6", "translated_description": "Calculating the pH or pOH of strong acids and bases.", "image_url": "https://img.youtube.com/vi/tS2YJPmKOFQ/hqdefault.jpg", "youtube_id": "tS2YJPmKOFQ", "content_kind": "Video", "readable_id": "ph--poh-of-strong-acids-and-bases"}, {"translated_youtube_id": "dencuBNp_Ck", "relative_url": "/video/ph-of-a-weak-acid", "has_questions": false, "keywords": "ph, acid, base, chemistry", "ka_url": "http://www.khanacademy.org/video/ph-of-a-weak-acid", "duration": 1069, "translated_title": "pH of a weak acid", "translated_description_html": "Calculating the pH of a weak acid", "id": "364064", "description_html": "Calculating the pH of a weak acid", "title": "pH of a weak acid", "progress_key": "v364064", "edit_slug": "edit/v/364064", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating the pH of a weak acid", "extra_properties": null, "node_slug": "v/ph-of-a-weak-acid", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dencuBNp_Ck.mp4/dencuBNp_Ck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dencuBNp_Ck.mp4/dencuBNp_Ck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dencuBNp_Ck.m3u8/dencuBNp_Ck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dencuBNp_Ck&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364064", "sha": "339e5195a348fac25a3f5dac8963f6e3c9c0968c", "translated_description": "Calculating the pH of a weak acid", "image_url": "https://img.youtube.com/vi/dencuBNp_Ck/hqdefault.jpg", "youtube_id": "dencuBNp_Ck", "content_kind": "Video", "readable_id": "ph-of-a-weak-acid"}, {"translated_youtube_id": "gDJtOIxDu78", "relative_url": "/video/ph-of-a-weak-base", "has_questions": false, "keywords": "chemistry, ph, base", "ka_url": "http://www.khanacademy.org/video/ph-of-a-weak-base", "duration": 780, "translated_title": "pH of a weak base", "translated_description_html": "pH of .2 M of NH3 (weak base).", "id": "390058", "description_html": "pH of .2 M of NH3 (weak base).", "title": "pH of a weak base", "progress_key": "v390058", "edit_slug": "edit/v/390058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "pH of .2 M of NH3 (weak base).", "extra_properties": null, "node_slug": "v/ph-of-a-weak-base", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gDJtOIxDu78.mp4/gDJtOIxDu78.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gDJtOIxDu78.mp4/gDJtOIxDu78.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gDJtOIxDu78.m3u8/gDJtOIxDu78.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gDJtOIxDu78&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v390058", "sha": "74aab9666b35d9ef8f3ee580e7c2ac95395dbd14", "translated_description": "pH of .2 M of NH3 (weak base).", "image_url": "https://img.youtube.com/vi/gDJtOIxDu78/hqdefault.jpg", "youtube_id": "gDJtOIxDu78", "content_kind": "Video", "readable_id": "ph-of-a-weak-base"}, {"translated_youtube_id": "0LM6wPpypxM", "relative_url": "/video/conjugate-acids-and-bases", "has_questions": false, "keywords": "chemistry, conjugate, acids, bases", "ka_url": "http://www.khanacademy.org/video/conjugate-acids-and-bases", "duration": 1006, "translated_title": "Conjugate acids and bases", "translated_description_html": "Introduction to conjugate acids and bases", "id": "417007", "description_html": "Introduction to conjugate acids and bases", "title": "Conjugate acids and bases", "progress_key": "v417007", "edit_slug": "edit/v/417007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to conjugate acids and bases", "extra_properties": null, "node_slug": "v/conjugate-acids-and-bases", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0LM6wPpypxM.mp4/0LM6wPpypxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0LM6wPpypxM.mp4/0LM6wPpypxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0LM6wPpypxM.m3u8/0LM6wPpypxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0LM6wPpypxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v417007", "sha": "f9fd09bca577f5804d84b4d36aa643028f1e28d5", "translated_description": "Introduction to conjugate acids and bases", "image_url": "https://img.youtube.com/vi/0LM6wPpypxM/hqdefault.jpg", "youtube_id": "0LM6wPpypxM", "content_kind": "Video", "readable_id": "conjugate-acids-and-bases"}, {"translated_youtube_id": "3Gm4nAAc3zc", "relative_url": "/video/pka-and-pkb-relationship", "has_questions": false, "keywords": "chemistry, acid, base", "ka_url": "http://www.khanacademy.org/video/pka-and-pkb-relationship", "duration": 873, "translated_title": "pKa and pKb relationship", "translated_description_html": "The pKa and pKb relationship between conjugate acids and bases (both of which are weak).", "id": "362063", "description_html": "The pKa and pKb relationship between conjugate acids and bases (both of which are weak).", "title": "pKa and pKb relationship", "progress_key": "v362063", "edit_slug": "edit/v/362063", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The pKa and pKb relationship between conjugate acids and bases (both of which are weak).", "extra_properties": null, "node_slug": "v/pka-and-pkb-relationship", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Gm4nAAc3zc.mp4/3Gm4nAAc3zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Gm4nAAc3zc.mp4/3Gm4nAAc3zc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Gm4nAAc3zc.m3u8/3Gm4nAAc3zc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Gm4nAAc3zc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v362063", "sha": "452ca68518c10820b65547188d8e253b17ac388b", "translated_description": "The pKa and pKb relationship between conjugate acids and bases (both of which are weak).", "image_url": "https://img.youtube.com/vi/3Gm4nAAc3zc/hqdefault.jpg", "youtube_id": "3Gm4nAAc3zc", "content_kind": "Video", "readable_id": "pka-and-pkb-relationship"}, {"translated_youtube_id": "LJmFbcaxDPE", "relative_url": "/video/buffers-and-hendersen-hasselbalch", "has_questions": false, "keywords": "Buffers, and, the, Hendersen-Hasselbalch, equation", "ka_url": "http://www.khanacademy.org/video/buffers-and-hendersen-hasselbalch", "duration": 894, "translated_title": "Buffers and Hendersen-Hasselbalch", "translated_description_html": "Buffers and the Hendersen-Hasselbalch equation", "id": "6022720", "description_html": "Buffers and the Hendersen-Hasselbalch equation", "title": "Buffers and Hendersen-Hasselbalch", "progress_key": "v6022720", "edit_slug": "edit/v/6022720", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Buffers and the Hendersen-Hasselbalch equation", "extra_properties": null, "node_slug": "v/buffers-and-hendersen-hasselbalch", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LJmFbcaxDPE.mp4/LJmFbcaxDPE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LJmFbcaxDPE.mp4/LJmFbcaxDPE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LJmFbcaxDPE.m3u8/LJmFbcaxDPE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LJmFbcaxDPE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022720", "sha": "6c36785ae3c907a304c9295f20a2a50c94f68ec0", "translated_description": "Buffers and the Hendersen-Hasselbalch equation", "image_url": "https://img.youtube.com/vi/LJmFbcaxDPE/hqdefault.jpg", "youtube_id": "LJmFbcaxDPE", "content_kind": "Video", "readable_id": "buffers-and-hendersen-hasselbalch"}, {"translated_youtube_id": "299o6c-Fkz4", "relative_url": "/video/strong-acid-titration", "has_questions": false, "keywords": "chemistry, titration, equivalence", "ka_url": "http://www.khanacademy.org/video/strong-acid-titration", "duration": 737, "translated_title": "Strong acid titration", "translated_description_html": "Strong acid titration and equivalence point", "id": "371059", "description_html": "Strong acid titration and equivalence point", "title": "Strong acid titration", "progress_key": "v371059", "edit_slug": "edit/v/371059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Strong acid titration and equivalence point", "extra_properties": null, "node_slug": "v/strong-acid-titration", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/299o6c-Fkz4.mp4/299o6c-Fkz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/299o6c-Fkz4.mp4/299o6c-Fkz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/299o6c-Fkz4.m3u8/299o6c-Fkz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=299o6c-Fkz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v371059", "sha": "73c2d0a12243155cfc7b34b9ce2e86dc75daa723", "translated_description": "Strong acid titration and equivalence point", "image_url": "https://img.youtube.com/vi/299o6c-Fkz4/hqdefault.jpg", "youtube_id": "299o6c-Fkz4", "content_kind": "Video", "readable_id": "strong-acid-titration"}, {"translated_youtube_id": "gbpc_JBG1F0", "relative_url": "/video/weak-acid-titration", "has_questions": false, "keywords": "chemistry, titration, equivalence", "ka_url": "http://www.khanacademy.org/video/weak-acid-titration", "duration": 624, "translated_title": "Weak acid titration", "translated_description_html": "Equivalence point when titrating a weak acid", "id": "430006", "description_html": "Equivalence point when titrating a weak acid", "title": "Weak acid titration", "progress_key": "v430006", "edit_slug": "edit/v/430006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Equivalence point when titrating a weak acid", "extra_properties": null, "node_slug": "v/weak-acid-titration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:35:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gbpc_JBG1F0.mp4/gbpc_JBG1F0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gbpc_JBG1F0.mp4/gbpc_JBG1F0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gbpc_JBG1F0.m3u8/gbpc_JBG1F0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gbpc_JBG1F0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v430006", "sha": "9ff0926a4868bb6a740cbe4e38a96c6f7146f625", "translated_description": "Equivalence point when titrating a weak acid", "image_url": "https://img.youtube.com/vi/gbpc_JBG1F0/hqdefault.jpg", "youtube_id": "gbpc_JBG1F0", "content_kind": "Video", "readable_id": "weak-acid-titration"}, {"translated_youtube_id": "1u0PU2BcxKg", "relative_url": "/video/half-equivalence-point", "has_questions": false, "keywords": "chemistry, titration, equivalence", "ka_url": "http://www.khanacademy.org/video/half-equivalence-point", "duration": 924, "translated_title": "Half equivalence point", "translated_description_html": "Figuring out the pKa of an unknown weak acid from the half equivalence point", "id": "397056", "description_html": "Figuring out the pKa of an unknown weak acid from the half equivalence point", "title": "Half equivalence point", "progress_key": "v397056", "edit_slug": "edit/v/397056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out the pKa of an unknown weak acid from the half equivalence point", "extra_properties": null, "node_slug": "v/half-equivalence-point", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1u0PU2BcxKg.mp4/1u0PU2BcxKg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1u0PU2BcxKg.mp4/1u0PU2BcxKg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1u0PU2BcxKg.m3u8/1u0PU2BcxKg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1u0PU2BcxKg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v397056", "sha": "8c0e84aa92471b148a0d9cfb721daa4ab00131d3", "translated_description": "Figuring out the pKa of an unknown weak acid from the half equivalence point", "image_url": "https://img.youtube.com/vi/1u0PU2BcxKg/hqdefault.jpg", "youtube_id": "1u0PU2BcxKg", "content_kind": "Video", "readable_id": "half-equivalence-point"}, {"translated_youtube_id": "BBIGR0RAMtY", "relative_url": "/video/titration-roundup", "has_questions": false, "keywords": "chemistry, titration, equivalence", "ka_url": "http://www.khanacademy.org/video/titration-roundup", "duration": 662, "translated_title": "Titration roundup", "translated_description_html": "Making sure you fully understand titration curves", "id": "382069", "description_html": "Making sure you fully understand titration curves", "title": "Titration roundup", "progress_key": "v382069", "edit_slug": "edit/v/382069", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Making sure you fully understand titration curves", "extra_properties": null, "node_slug": "v/titration-roundup", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BBIGR0RAMtY.mp4/BBIGR0RAMtY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BBIGR0RAMtY.mp4/BBIGR0RAMtY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BBIGR0RAMtY.m3u8/BBIGR0RAMtY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BBIGR0RAMtY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v382069", "sha": "9d841645d0969cf5eda0f50d02c5eb7de188295e", "translated_description": "Making sure you fully understand titration curves", "image_url": "https://img.youtube.com/vi/BBIGR0RAMtY/hqdefault.jpg", "youtube_id": "BBIGR0RAMtY", "content_kind": "Video", "readable_id": "titration-roundup"}, {"translated_youtube_id": "XjFNmfLv9_Q", "relative_url": "/video/acid-base-titration", "has_questions": false, "keywords": "Acid, Base, Titration, oxalic", "ka_url": "http://www.khanacademy.org/video/acid-base-titration", "duration": 751, "translated_title": "Acid base titration", "translated_description_html": "Using acid-base titration to find mass of oxalic acid", "id": "6022722", "description_html": "Using acid-base titration to find mass of oxalic acid", "title": "Acid base titration", "progress_key": "v6022722", "edit_slug": "edit/v/6022722", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using acid-base titration to find mass of oxalic acid", "extra_properties": null, "node_slug": "v/acid-base-titration", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XjFNmfLv9_Q.mp4/XjFNmfLv9_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XjFNmfLv9_Q.mp4/XjFNmfLv9_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XjFNmfLv9_Q.m3u8/XjFNmfLv9_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XjFNmfLv9_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022722", "sha": "92dd3c7595d3c36f574901e897510d2fc8619342", "translated_description": "Using acid-base titration to find mass of oxalic acid", "image_url": "https://img.youtube.com/vi/XjFNmfLv9_Q/hqdefault.jpg", "youtube_id": "XjFNmfLv9_Q", "content_kind": "Video", "readable_id": "acid-base-titration"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "acids-and-bases", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb79ef290", "topic_page_url": "/science/chemistry/acids-and-bases", "extended_slug": "science/chemistry/acids-and-bases", "slug": "acids-and-bases", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2a8f1f1a516234a5e076d4ac968b7251629ddb10", "standalone_title": "Acids and bases", "y_pos": 0.0, "current_revision_key": "2a8f1f1a516234a5e076d4ac968b7251629ddb10", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/oxidation-reduction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/oxidation-reduction", "translated_standalone_title": "Oxidation reduction", "translated_title": "Oxidation reduction", "gplus_url": "", "id": "x7013457b", "old_key_name": "FtrvHiiZ9Th7SJEhhSt-1T2-8G3E1jTgKqKkZkE5", "hide": false, "title": "Oxidation reduction", "child_data": [{"kind": "Video", "id": 370050}, {"kind": "Video", "id": 351061}, {"kind": "Video", "id": 373051}, {"kind": "Video", "id": 390059}, {"kind": "Video", "id": 384057}], "children": [{"translated_youtube_id": "_fNNQfGGYr4", "relative_url": "/video/introduction-to-oxidation-states", "has_questions": false, "keywords": "chemistry, oxidation, reduction", "ka_url": "http://www.khanacademy.org/video/introduction-to-oxidation-states", "duration": 1059, "translated_title": "Introduction to oxidation states", "translated_description_html": "Oxidation and reduction. Oxidation states.", "id": "370050", "description_html": "Oxidation and reduction. Oxidation states.", "title": "Introduction to oxidation states", "progress_key": "v370050", "edit_slug": "edit/v/370050", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Oxidation and reduction. Oxidation states.", "extra_properties": null, "node_slug": "v/introduction-to-oxidation-states", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_fNNQfGGYr4.mp4/_fNNQfGGYr4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_fNNQfGGYr4.mp4/_fNNQfGGYr4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_fNNQfGGYr4.m3u8/_fNNQfGGYr4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_fNNQfGGYr4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v370050", "sha": "3aa5ae9b7106a74d78f6fbdeb6b78325341fb865", "translated_description": "Oxidation and reduction. Oxidation states.", "image_url": "https://img.youtube.com/vi/_fNNQfGGYr4/hqdefault.jpg", "youtube_id": "_fNNQfGGYr4", "content_kind": "Video", "readable_id": "introduction-to-oxidation-states"}, {"translated_youtube_id": "GA88JI4AymY", "relative_url": "/video/more-on-oxidation-states", "has_questions": false, "keywords": "chemistry, oxidation, reduction", "ka_url": "http://www.khanacademy.org/video/more-on-oxidation-states", "duration": 1049, "translated_title": "More on oxidation states", "translated_description_html": "More practice calculating oxidation states", "id": "351061", "description_html": "More practice calculating oxidation states", "title": "More on oxidation states", "progress_key": "v351061", "edit_slug": "edit/v/351061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More practice calculating oxidation states", "extra_properties": null, "node_slug": "v/more-on-oxidation-states", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GA88JI4AymY.mp4/GA88JI4AymY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GA88JI4AymY.mp4/GA88JI4AymY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GA88JI4AymY.m3u8/GA88JI4AymY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GA88JI4AymY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v351061", "sha": "3e3960948d62d24db07904ffdac38caa3b1e9abc", "translated_description": "More practice calculating oxidation states", "image_url": "https://img.youtube.com/vi/GA88JI4AymY/hqdefault.jpg", "youtube_id": "GA88JI4AymY", "content_kind": "Video", "readable_id": "more-on-oxidation-states"}, {"translated_youtube_id": "YPjtG5PA-iY", "relative_url": "/video/hydrogen-peroxide-correction", "has_questions": false, "keywords": "chemistry, redox", "ka_url": "http://www.khanacademy.org/video/hydrogen-peroxide-correction", "duration": 142, "translated_title": "Hydrogen peroxide correction", "translated_description_html": "Correcting an error in the last video regarding hydrogen peroxide.", "id": "373051", "description_html": "Correcting an error in the last video regarding hydrogen peroxide.", "title": "Hydrogen peroxide correction", "progress_key": "v373051", "edit_slug": "edit/v/373051", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Correcting an error in the last video regarding hydrogen peroxide.", "extra_properties": null, "node_slug": "v/hydrogen-peroxide-correction", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YPjtG5PA-iY.mp4/YPjtG5PA-iY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YPjtG5PA-iY.mp4/YPjtG5PA-iY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YPjtG5PA-iY.m3u8/YPjtG5PA-iY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YPjtG5PA-iY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v373051", "sha": "d4b35a00e887baa7d4480cd7a3f2de1edcf6e903", "translated_description": "Correcting an error in the last video regarding hydrogen peroxide.", "image_url": "https://img.youtube.com/vi/YPjtG5PA-iY/hqdefault.jpg", "youtube_id": "YPjtG5PA-iY", "content_kind": "Video", "readable_id": "hydrogen-peroxide-correction"}, {"translated_youtube_id": "yp60-oVxrT4", "relative_url": "/video/redox-reactions", "has_questions": false, "keywords": "chemistry, oxidation, reduction, redox", "ka_url": "http://www.khanacademy.org/video/redox-reactions", "duration": 865, "translated_title": "Redox reactions", "translated_description_html": "Oxidation reduction (or redox) reactions", "id": "390059", "description_html": "Oxidation reduction (or redox) reactions", "title": "Redox reactions", "progress_key": "v390059", "edit_slug": "edit/v/390059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Oxidation reduction (or redox) reactions", "extra_properties": null, "node_slug": "v/redox-reactions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yp60-oVxrT4.mp4/yp60-oVxrT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yp60-oVxrT4.mp4/yp60-oVxrT4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yp60-oVxrT4.m3u8/yp60-oVxrT4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yp60-oVxrT4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v390059", "sha": "f428924ba898146c4941fd5c1528b721ccdcf201", "translated_description": "Oxidation reduction (or redox) reactions", "image_url": "https://img.youtube.com/vi/yp60-oVxrT4/hqdefault.jpg", "youtube_id": "yp60-oVxrT4", "content_kind": "Video", "readable_id": "redox-reactions"}, {"translated_youtube_id": "N4L3dDIixSU", "relative_url": "/video/galvanic-cells", "has_questions": false, "keywords": "chemistry, galvanic, redox", "ka_url": "http://www.khanacademy.org/video/galvanic-cells", "duration": 1106, "translated_title": "Galvanic cells", "translated_description_html": "Redox reactions to drive Galvanic Cells.", "id": "384057", "description_html": "Redox reactions to drive Galvanic Cells.", "title": "Galvanic cells", "progress_key": "v384057", "edit_slug": "edit/v/384057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Redox reactions to drive Galvanic Cells.", "extra_properties": null, "node_slug": "v/galvanic-cells", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4L3dDIixSU.mp4/N4L3dDIixSU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4L3dDIixSU.mp4/N4L3dDIixSU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N4L3dDIixSU.m3u8/N4L3dDIixSU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N4L3dDIixSU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v384057", "sha": "3d8172b4e64385dda079383d1f0153bc2e74c0cf", "translated_description": "Redox reactions to drive Galvanic Cells.", "image_url": "https://img.youtube.com/vi/N4L3dDIixSU/hqdefault.jpg", "youtube_id": "N4L3dDIixSU", "content_kind": "Video", "readable_id": "galvanic-cells"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "oxidation-reduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7013457b", "topic_page_url": "/science/chemistry/oxidation-reduction", "extended_slug": "science/chemistry/oxidation-reduction", "slug": "oxidation-reduction", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9af79a8de083d72f8500628f431129be2d4b5adb", "standalone_title": "Oxidation reduction", "y_pos": 0.0, "current_revision_key": "9af79a8de083d72f8500628f431129be2d4b5adb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/chemistry/radioactive-decay", "web_url": "", "ka_url": "http://www.khanacademy.org/science/chemistry/radioactive-decay", "translated_standalone_title": "Radioactive decay", "translated_title": "Radioactive decay", "gplus_url": "", "id": "xf2aa6ecc", "old_key_name": "A4WzO-6qQdgo0zycGc4opLhEMsKxYIU0hxG4-D0Z", "hide": false, "title": "Radioactive decay", "child_data": [{"kind": "Video", "id": 406026}, {"kind": "Video", "id": 423007}, {"kind": "Video", "id": 375067}, {"kind": "Video", "id": 391044}, {"kind": "Video", "id": 368055}], "children": [{"translated_youtube_id": "3koOwozY4oc", "relative_url": "/video/types-of-decay", "has_questions": false, "keywords": "chemistry, decay, radioactive", "ka_url": "http://www.khanacademy.org/video/types-of-decay", "duration": 1023, "translated_title": "Types of decay", "translated_description_html": "Alpha, Beta, Gamma Decay and Positron Emission", "id": "406026", "description_html": "Alpha, Beta, Gamma Decay and Positron Emission", "title": "Types of decay", "progress_key": "v406026", "edit_slug": "edit/v/406026", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Alpha, Beta, Gamma Decay and Positron Emission", "extra_properties": null, "node_slug": "v/types-of-decay", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3koOwozY4oc.mp4/3koOwozY4oc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3koOwozY4oc.mp4/3koOwozY4oc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3koOwozY4oc.m3u8/3koOwozY4oc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3koOwozY4oc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v406026", "sha": "e2dfbb35bf331e1d7fbc0d4aff39d877aabe9ed6", "translated_description": "Alpha, Beta, Gamma Decay and Positron Emission", "image_url": "https://img.youtube.com/vi/3koOwozY4oc/hqdefault.jpg", "youtube_id": "3koOwozY4oc", "content_kind": "Video", "readable_id": "types-of-decay"}, {"translated_youtube_id": "9REPnibO4IQ", "relative_url": "/video/half-life", "has_questions": false, "keywords": "chemistry, half-life", "ka_url": "http://www.khanacademy.org/video/half-life", "duration": 751, "translated_title": "Half-life", "translated_description_html": "Introduction to half-life", "id": "423007", "description_html": "Introduction to half-life", "title": "Half-life", "progress_key": "v423007", "edit_slug": "edit/v/423007", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to half-life", "extra_properties": null, "node_slug": "v/half-life", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9REPnibO4IQ.mp4/9REPnibO4IQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9REPnibO4IQ.mp4/9REPnibO4IQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9REPnibO4IQ.m3u8/9REPnibO4IQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9REPnibO4IQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v423007", "sha": "634d511670bc378ae9c93b15f9a76f76822fc998", "translated_description": "Introduction to half-life", "image_url": "https://img.youtube.com/vi/9REPnibO4IQ/hqdefault.jpg", "youtube_id": "9REPnibO4IQ", "content_kind": "Video", "readable_id": "half-life"}, {"translated_youtube_id": "H7nrVDV8ahc", "relative_url": "/video/exponential-decay-formula-proof--can-skip--involves-calculus", "has_questions": false, "keywords": "radioactive, decay, chemistry, physics", "ka_url": "http://www.khanacademy.org/video/exponential-decay-formula-proof--can-skip--involves-calculus", "duration": 742, "translated_title": "Exponential decay formula proof (can skip, involves calculus)", "translated_description_html": "Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class.", "id": "375067", "description_html": "Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class.", "title": "Exponential decay formula proof (can skip, involves calculus)", "progress_key": "v375067", "edit_slug": "edit/v/375067", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class.", "extra_properties": null, "node_slug": "v/exponential-decay-formula-proof--can-skip--involves-calculus", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:35:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H7nrVDV8ahc.mp4/H7nrVDV8ahc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H7nrVDV8ahc.mp4/H7nrVDV8ahc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H7nrVDV8ahc.m3u8/H7nrVDV8ahc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H7nrVDV8ahc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v375067", "sha": "0e7cbdd16f7b2a7a5a68ac0b5bc2ebf9527670b9", "translated_description": "Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class.", "image_url": "https://img.youtube.com/vi/H7nrVDV8ahc/hqdefault.jpg", "youtube_id": "H7nrVDV8ahc", "content_kind": "Video", "readable_id": "exponential-decay-formula-proof--can-skip--involves-calculus"}, {"translated_youtube_id": "HTDop6eEsaA", "relative_url": "/video/introduction-to-exponential-decay", "has_questions": false, "keywords": "chemistry, radioactive, exponential, decay", "ka_url": "http://www.khanacademy.org/video/introduction-to-exponential-decay", "duration": 559, "translated_title": "Introduction to exponential decay", "translated_description_html": "Introduction to Exponential Decay", "id": "391044", "description_html": "Introduction to Exponential Decay", "title": "Introduction to exponential decay", "progress_key": "v391044", "edit_slug": "edit/v/391044", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Exponential Decay", "extra_properties": null, "node_slug": "v/introduction-to-exponential-decay", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HTDop6eEsaA.mp4/HTDop6eEsaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HTDop6eEsaA.mp4/HTDop6eEsaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HTDop6eEsaA.m3u8/HTDop6eEsaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HTDop6eEsaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v391044", "sha": "675e2feaca56f6870019c4b35d186c02175c9364", "translated_description": "Introduction to Exponential Decay", "image_url": "https://img.youtube.com/vi/HTDop6eEsaA/hqdefault.jpg", "youtube_id": "HTDop6eEsaA", "content_kind": "Video", "readable_id": "introduction-to-exponential-decay"}, {"translated_youtube_id": "Hqzakjo_dYg", "relative_url": "/video/more-exponential-decay-examples", "has_questions": false, "keywords": "chemistry, exponential, decay", "ka_url": "http://www.khanacademy.org/video/more-exponential-decay-examples", "duration": 442, "translated_title": "More exponential decay examples", "translated_description_html": "A few more examples of exponential decay.", "id": "368055", "description_html": "A few more examples of exponential decay.", "title": "More exponential decay examples", "progress_key": "v368055", "edit_slug": "edit/v/368055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A few more examples of exponential decay.", "extra_properties": null, "node_slug": "v/more-exponential-decay-examples", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:35:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hqzakjo_dYg.mp4/Hqzakjo_dYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hqzakjo_dYg.mp4/Hqzakjo_dYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hqzakjo_dYg.m3u8/Hqzakjo_dYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hqzakjo_dYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v368055", "sha": "5f1d96e93a41de3ebf1be5690bbe13541a1f9c77", "translated_description": "A few more examples of exponential decay.", "image_url": "https://img.youtube.com/vi/Hqzakjo_dYg/hqdefault.jpg", "youtube_id": "Hqzakjo_dYg", "content_kind": "Video", "readable_id": "more-exponential-decay-examples"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "radioactive-decay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf2aa6ecc", "topic_page_url": "/science/chemistry/radioactive-decay", "extended_slug": "science/chemistry/radioactive-decay", "slug": "radioactive-decay", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "be4c09c1b90fc7611e51a35e8455d4c866b1b585", "standalone_title": "Radioactive decay", "y_pos": 0.0, "current_revision_key": "be4c09c1b90fc7611e51a35e8455d4c866b1b585", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos on chemistry (roughly covering a first-year high school or college course).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos on chemistry (roughly covering a first-year high school or college course).", "x_pos": 18.0, "node_slug": "chemistry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T01:41:08Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax822131fc", "topic_page_url": "/science/chemistry", "extended_slug": "science/chemistry", "slug": "chemistry", "tags": ["chemistry", "science"], "kind": "Topic", "in_topic_browser": true, "sha": "6f867b51f8e161eb108cd47df5f8b436cfee4d22", "standalone_title": "Chemistry", "y_pos": 39.0, "current_revision_key": "6f867b51f8e161eb108cd47df5f8b436cfee4d22", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry", "translated_standalone_title": "Organic chemistry", "translated_title": "Organic chemistry", "gplus_url": "", "id": "x1079cbfa", "old_key_name": "Rj9swjndK4O4bsH7xdV-2tA2bs-BwneFGxHq694-", "hide": false, "title": "Organic chemistry", "child_data": [{"kind": "Topic", "id": "x05fcddcb"}, {"kind": "Topic", "id": "xb32d9a90"}, {"kind": "Topic", "id": "x84cadce3"}, {"kind": "Topic", "id": "xf2909c8a"}, {"kind": "Topic", "id": "x00b805dc"}, {"kind": "Topic", "id": "x53149848"}, {"kind": "Topic", "id": "xa3d20bbd"}, {"kind": "Topic", "id": "x6b80168b"}, {"kind": "Topic", "id": "xa5a6b96a"}, {"kind": "Topic", "id": "x550a9280"}, {"kind": "Topic", "id": "xc8b79fc3"}, {"kind": "Topic", "id": "x56be16f4"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/gen-chem-review", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/gen-chem-review", "translated_standalone_title": "General chemistry review", "translated_title": "General chemistry review", "gplus_url": "", "id": "x05fcddcb", "old_key_name": "yHfuPl_bAHprzBKvsLzuxOVqT6OuLk8u9fc0YSx2", "hide": false, "title": "General chemistry review", "child_data": [{"kind": "Topic", "id": "x055b166a"}, {"kind": "Topic", "id": "xcef4894d"}, {"kind": "Topic", "id": "x889db602"}, {"kind": "Topic", "id": "x4ed56196"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/gen-chem-review/hybridization", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/gen-chem-review/hybridization", "translated_standalone_title": "Hybridization", "translated_title": "Hybridization", "gplus_url": "", "id": "x055b166a", "old_key_name": "2JqDu9GpA-9RrEYY-t7LPoUnsX-QkEwBzWZq40Ad", "hide": false, "title": "Hybridization", "child_data": [{"kind": "Video", "id": 2600611}, {"kind": "Video", "id": 2600612}], "children": [{"translated_youtube_id": "u1eGSL6J6Fo", "relative_url": "/video/sp3-hybridized-orbitals-and-sigma-bonds", "has_questions": false, "keywords": "sp3, Hybridized, Orbitals, and, Sigma, Bonds", "ka_url": "http://www.khanacademy.org/video/sp3-hybridized-orbitals-and-sigma-bonds", "duration": 983, "translated_title": "sp3 hybridized orbitals and sigma bonds", "translated_description_html": "sp3 Hybridized Orbitals and Sigma Bonds", "id": "2600611", "description_html": "sp3 Hybridized Orbitals and Sigma Bonds", "title": "sp3 hybridized orbitals and sigma bonds", "progress_key": "v2600611", "edit_slug": "edit/v/2600611", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "sp3 Hybridized Orbitals and Sigma Bonds", "extra_properties": null, "node_slug": "v/sp3-hybridized-orbitals-and-sigma-bonds", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1eGSL6J6Fo.mp4/u1eGSL6J6Fo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1eGSL6J6Fo.mp4/u1eGSL6J6Fo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u1eGSL6J6Fo.m3u8/u1eGSL6J6Fo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u1eGSL6J6Fo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600611", "sha": "6fc625ef33c16a728b88098dcc8c8dbd26947ec3", "translated_description": "sp3 Hybridized Orbitals and Sigma Bonds", "image_url": "https://img.youtube.com/vi/u1eGSL6J6Fo/hqdefault.jpg", "youtube_id": "u1eGSL6J6Fo", "content_kind": "Video", "readable_id": "sp3-hybridized-orbitals-and-sigma-bonds"}, {"translated_youtube_id": "lJX8DxoPRfk", "relative_url": "/video/pi-bonds-and-sp2-hybridized-orbitals", "has_questions": false, "keywords": "Pi, bonds, and, sp2, Hybridized, Orbitals", "ka_url": "http://www.khanacademy.org/video/pi-bonds-and-sp2-hybridized-orbitals", "duration": 853, "translated_title": "Pi bonds and sp2 hybridized orbitals", "translated_description_html": "Pi bonds and sp2 Hybridized Orbitals", "id": "2600612", "description_html": "Pi bonds and sp2 Hybridized Orbitals", "title": "Pi bonds and sp2 hybridized orbitals", "progress_key": "v2600612", "edit_slug": "edit/v/2600612", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pi bonds and sp2 Hybridized Orbitals", "extra_properties": null, "node_slug": "v/pi-bonds-and-sp2-hybridized-orbitals", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lJX8DxoPRfk.mp4/lJX8DxoPRfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lJX8DxoPRfk.mp4/lJX8DxoPRfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lJX8DxoPRfk.m3u8/lJX8DxoPRfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lJX8DxoPRfk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600612", "sha": "dfa02440ffd04ceff24d31061b998929714c61ec", "translated_description": "Pi bonds and sp2 Hybridized Orbitals", "image_url": "https://img.youtube.com/vi/lJX8DxoPRfk/hqdefault.jpg", "youtube_id": "lJX8DxoPRfk", "content_kind": "Video", "readable_id": "pi-bonds-and-sp2-hybridized-orbitals"}], "twitter_url": "", "translated_description": "It's the liger of orbitals and essential to organic chemistry! In this tutorial, Sal discusses the hybridization of orbitals.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It's the liger of orbitals and essential to organic chemistry! In this tutorial, Sal discusses the hybridization of orbitals.", "x_pos": 0.0, "node_slug": "hybridization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax055b166a", "topic_page_url": "/science/organic-chemistry/gen-chem-review/hybridization", "extended_slug": "science/organic-chemistry/gen-chem-review/hybridization", "slug": "hybridization", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3104252e3135018d87214949d790b1a465404891", "standalone_title": "Hybridization", "y_pos": 0.0, "current_revision_key": "3104252e3135018d87214949d790b1a465404891", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/gen-chem-review/dot-strcutures-jay", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/gen-chem-review/dot-strcutures-jay", "translated_standalone_title": "Dot structures", "translated_title": "Dot structures", "gplus_url": "", "id": "xcef4894d", "old_key_name": "HzS2eV2H6q4cEZOGo9J4p2PUu3LgWmWgIUKDIuXI", "hide": false, "title": "Dot structures", "child_data": [{"kind": "Video", "id": 1288848684}, {"kind": "Video", "id": 1288839972}], "children": [{"translated_youtube_id": "BIZNBfBuu1w", "relative_url": "/video/dot-structures-i--single-bonds-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dot-structures-i--single-bonds-1", "duration": 417, "translated_title": "Dot structures I: Single bonds", "translated_description_html": "", "id": "1288848684", "description_html": "", "title": "Dot structures I: Single bonds", "progress_key": "v1288848684", "edit_slug": "edit/v/1288848684", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/dot-structures-i--single-bonds-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:55:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BIZNBfBuu1w.mp4/BIZNBfBuu1w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BIZNBfBuu1w.mp4/BIZNBfBuu1w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BIZNBfBuu1w.m3u8/BIZNBfBuu1w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BIZNBfBuu1w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1288848684", "sha": "58cd90bf400d299c32f797e21c27f8f9b5c1d9d4", "translated_description": "", "image_url": "https://img.youtube.com/vi/BIZNBfBuu1w/hqdefault.jpg", "youtube_id": "BIZNBfBuu1w", "content_kind": "Video", "readable_id": "dot-structures-i--single-bonds-1"}, {"translated_youtube_id": "WLGTx6sSIOc", "relative_url": "/video/dot-structures-ii--multiple-bonds-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dot-structures-ii--multiple-bonds-1", "duration": 359, "translated_title": "Dot structures II: Multiple bonds", "translated_description_html": "", "id": "1288839972", "description_html": "", "title": "Dot structures II: Multiple bonds", "progress_key": "v1288839972", "edit_slug": "edit/v/1288839972", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/dot-structures-ii--multiple-bonds-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:56:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WLGTx6sSIOc.mp4/WLGTx6sSIOc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WLGTx6sSIOc.mp4/WLGTx6sSIOc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WLGTx6sSIOc.m3u8/WLGTx6sSIOc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WLGTx6sSIOc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1288839972", "sha": "c846aa160e0f165f7f78763c1101ffeb8446d4e9", "translated_description": "", "image_url": "https://img.youtube.com/vi/WLGTx6sSIOc/hqdefault.jpg", "youtube_id": "WLGTx6sSIOc", "content_kind": "Video", "readable_id": "dot-structures-ii--multiple-bonds-1"}], "twitter_url": "", "translated_description": "In this tutorial, Jay reminds you how to draw the dot structures of simple organic molecules.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay reminds you how to draw the dot structures of simple organic molecules.", "x_pos": 0.0, "node_slug": "dot-strcutures-jay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcef4894d", "topic_page_url": "/science/organic-chemistry/gen-chem-review/dot-strcutures-jay", "extended_slug": "science/organic-chemistry/gen-chem-review/dot-strcutures-jay", "slug": "dot-strcutures-jay", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b6a89f3e21211d282752fa24b73658769e053270", "standalone_title": "Dot structures", "y_pos": 0.0, "current_revision_key": "b6a89f3e21211d282752fa24b73658769e053270", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay", "translated_standalone_title": "Hybrid orbitals", "translated_title": "Hybrid orbitals", "gplus_url": "", "id": "x889db602", "old_key_name": "aF2HJ7AvdznP4JwKcaGQbx_FU_BylAVBpbehUHGG", "hide": false, "title": "Hybrid orbitals", "child_data": [{"kind": "Video", "id": 1289026234}, {"kind": "Video", "id": 1262226504}, {"kind": "Video", "id": 1288876443}, {"kind": "Video", "id": 1288747998}, {"kind": "Video", "id": "xe8ec5a99"}, {"kind": "Video", "id": 1288976341}], "children": [{"translated_youtube_id": "6JiUN2IQANc", "relative_url": "/video/sp3-hybrid-orbitals-jay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp3-hybrid-orbitals-jay", "duration": 692, "translated_title": "sp3 hybrid orbitals", "translated_description_html": "", "id": "1289026234", "description_html": "", "title": "sp3 hybrid orbitals", "progress_key": "v1289026234", "edit_slug": "edit/v/1289026234", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/sp3-hybrid-orbitals-jay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:51:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6JiUN2IQANc.mp4/6JiUN2IQANc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6JiUN2IQANc.mp4/6JiUN2IQANc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6JiUN2IQANc.m3u8/6JiUN2IQANc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6JiUN2IQANc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1289026234", "sha": "1b70da10e65f6a5b07deeb51f1d39989436c67d9", "translated_description": "", "image_url": "https://img.youtube.com/vi/6JiUN2IQANc/hqdefault.jpg", "youtube_id": "6JiUN2IQANc", "content_kind": "Video", "readable_id": "sp3-hybrid-orbitals-jay"}, {"translated_youtube_id": "2UTr46btzaY", "relative_url": "/video/tetrahedral-bond-angle-proof", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tetrahedral-bond-angle-proof", "duration": 306, "translated_title": "Tetrahedral bond angle proof", "translated_description_html": "", "id": "1262226504", "description_html": "", "title": "Tetrahedral bond angle proof", "progress_key": "v1262226504", "edit_slug": "edit/v/1262226504", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/tetrahedral-bond-angle-proof", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-02T21:27:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2UTr46btzaY.mp4/2UTr46btzaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2UTr46btzaY.mp4/2UTr46btzaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2UTr46btzaY.m3u8/2UTr46btzaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2UTr46btzaY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1262226504", "sha": "0bc4061724c2d949b32da48777bbd0022cc4dfe2", "translated_description": "", "image_url": "https://img.youtube.com/vi/2UTr46btzaY/hqdefault.jpg", "youtube_id": "2UTr46btzaY", "content_kind": "Video", "readable_id": "tetrahedral-bond-angle-proof"}, {"translated_youtube_id": "f7haUfnQzWE", "relative_url": "/video/sp2-hybrid-orbitals-jay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp2-hybrid-orbitals-jay", "duration": 690, "translated_title": "sp2 hybrid orbitals", "translated_description_html": "", "id": "1288876443", "description_html": "", "title": "sp2 hybrid orbitals", "progress_key": "v1288876443", "edit_slug": "edit/v/1288876443", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sp2-hybrid-orbitals-jay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:52:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f7haUfnQzWE.mp4/f7haUfnQzWE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f7haUfnQzWE.mp4/f7haUfnQzWE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f7haUfnQzWE.m3u8/f7haUfnQzWE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f7haUfnQzWE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1288876443", "sha": "43a8115ec9976b335e518c5459bf533101706a89", "translated_description": "", "image_url": "https://img.youtube.com/vi/f7haUfnQzWE/hqdefault.jpg", "youtube_id": "f7haUfnQzWE", "content_kind": "Video", "readable_id": "sp2-hybrid-orbitals-jay"}, {"translated_youtube_id": "GoxbWnTiox4", "relative_url": "/video/sp-hybrid-orbitals-jay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp-hybrid-orbitals-jay", "duration": 735, "translated_title": "sp hybrid orbitals", "translated_description_html": "", "id": "1288747998", "description_html": "", "title": "sp hybrid orbitals", "progress_key": "v1288747998", "edit_slug": "edit/v/1288747998", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sp-hybrid-orbitals-jay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:54:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GoxbWnTiox4.mp4/GoxbWnTiox4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GoxbWnTiox4.mp4/GoxbWnTiox4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GoxbWnTiox4.m3u8/GoxbWnTiox4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GoxbWnTiox4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1288747998", "sha": "4169d7efd1016cfd10b01795add34f3dac5bb0b9", "translated_description": "", "image_url": "https://img.youtube.com/vi/GoxbWnTiox4/hqdefault.jpg", "youtube_id": "GoxbWnTiox4", "content_kind": "Video", "readable_id": "sp-hybrid-orbitals-jay"}, {"translated_youtube_id": "F9zlj-X0-os", "relative_url": "/video/sp2-sp-clarification-ethene", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp2-sp-clarification-ethene", "duration": 115, "translated_title": "Sp2, Sp Clarification", "translated_description_html": "", "id": "xe8ec5a99", "description_html": "", "title": "Sp2, Sp Clarification", "progress_key": "vxe8ec5a99", "edit_slug": "edit/v/xe8ec5a99", "author_names": [], "deleted_mod_time": null, "description": "Clarification of pi bonding in ethene and ethyne", "extra_properties": {}, "node_slug": "v/sp2-sp-clarification-ethene", "deleted": false, "backup_timestamp": "2013-10-31T14:42:30Z", "date_added": "2013-10-31T14:42:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F9zlj-X0-os.mp4/F9zlj-X0-os.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F9zlj-X0-os.mp4/F9zlj-X0-os.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F9zlj-X0-os.m3u8/F9zlj-X0-os.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F9zlj-X0-os&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe8ec5a99", "sha": "4acf4e94a6c3a0b76e0e5ada476924ce0463156e", "translated_description": "Clarification of pi bonding in ethene and ethyne", "image_url": "https://img.youtube.com/vi/F9zlj-X0-os/hqdefault.jpg", "youtube_id": "F9zlj-X0-os", "content_kind": "Video", "readable_id": "sp2-sp-clarification-ethene"}, {"translated_youtube_id": "kfGBr_EQr8A", "relative_url": "/video/more-hybridization-jay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-hybridization-jay", "duration": 728, "translated_title": "More hybridization", "translated_description_html": "", "id": "1288976341", "description_html": "", "title": "More hybridization", "progress_key": "v1288976341", "edit_slug": "edit/v/1288976341", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/more-hybridization-jay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-13T19:54:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kfGBr_EQr8A.mp4/kfGBr_EQr8A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kfGBr_EQr8A.mp4/kfGBr_EQr8A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kfGBr_EQr8A.m3u8/kfGBr_EQr8A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kfGBr_EQr8A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1288976341", "sha": "96cb0525fe0bb7d96d5ef7607974c1458c7ad1b7", "translated_description": "", "image_url": "https://img.youtube.com/vi/kfGBr_EQr8A/hqdefault.jpg", "youtube_id": "kfGBr_EQr8A", "content_kind": "Video", "readable_id": "more-hybridization-jay"}], "twitter_url": "", "translated_description": "In this tutorial, Jay goes over sp3, sp2, and sp hybridization.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay goes over sp3, sp2, and sp hybridization.", "x_pos": 0.0, "node_slug": "hybrid-orbitals-jay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax889db602", "topic_page_url": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay", "extended_slug": "science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay", "slug": "hybrid-orbitals-jay", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "affd4d74a55b3e380c0625d08a240917a5653149", "standalone_title": "Hybrid orbitals", "y_pos": 0.0, "current_revision_key": "affd4d74a55b3e380c0625d08a240917a5653149", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/gen-chem-review/electronegativity-polarity", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/gen-chem-review/electronegativity-polarity", "translated_standalone_title": "Electronegativity", "translated_title": "Electronegativity", "gplus_url": "", "id": "x4ed56196", "old_key_name": "hmkmRRkfZ0zbrvLPVbrhWbrkSLfIWM_kdWsGgrhD", "hide": false, "title": "Electronegativity", "child_data": [{"kind": "Video", "id": 1323344761}, {"kind": "Video", "id": 1367524433}], "children": [{"translated_youtube_id": "tTX5kT6ThGU", "relative_url": "/video/electronegativity-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electronegativity-1", "duration": 698, "translated_title": "Electronegativity", "translated_description_html": "", "id": "1323344761", "description_html": "", "title": "Electronegativity", "progress_key": "v1323344761", "edit_slug": "edit/v/1323344761", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/electronegativity-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-26T17:07:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tTX5kT6ThGU.mp4/tTX5kT6ThGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tTX5kT6ThGU.mp4/tTX5kT6ThGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tTX5kT6ThGU.m3u8/tTX5kT6ThGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tTX5kT6ThGU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1323344761", "sha": "4c4f57c938a232217c0b3ab2a81b657517a1e93b", "translated_description": "", "image_url": "https://img.youtube.com/vi/tTX5kT6ThGU/hqdefault.jpg", "youtube_id": "tTX5kT6ThGU", "content_kind": "Video", "readable_id": "electronegativity-1"}, {"translated_youtube_id": "vwaXYvq9dpw", "relative_url": "/video/electronegativity-and-intermolecular-forces", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electronegativity-and-intermolecular-forces", "duration": 515, "translated_title": "Electronegativity and intermolecular forces", "translated_description_html": "", "id": "1367524433", "description_html": "", "title": "Electronegativity and intermolecular forces", "progress_key": "v1367524433", "edit_slug": "edit/v/1367524433", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/electronegativity-and-intermolecular-forces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-10T23:47:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vwaXYvq9dpw.mp4/vwaXYvq9dpw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vwaXYvq9dpw.mp4/vwaXYvq9dpw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vwaXYvq9dpw.m3u8/vwaXYvq9dpw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vwaXYvq9dpw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1367524433", "sha": "3e785a30f1b6f47d788b2c8a252c85d90d771bca", "translated_description": "", "image_url": "https://img.youtube.com/vi/vwaXYvq9dpw/hqdefault.jpg", "youtube_id": "vwaXYvq9dpw", "content_kind": "Video", "readable_id": "electronegativity-and-intermolecular-forces"}], "twitter_url": "", "translated_description": "What is the most important concept to understand in undergraduate organic chemistry? Of course, it's electronegativity! In this tutorial, Jay explains the concept of electronegativity and shows how it applies to polarity, intermolecular forces, and physical properties.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the most important concept to understand in undergraduate organic chemistry? Of course, it's electronegativity! In this tutorial, Jay explains the concept of electronegativity and shows how it applies to polarity, intermolecular forces, and physical properties.", "x_pos": 0.0, "node_slug": "electronegativity-polarity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4ed56196", "topic_page_url": "/science/organic-chemistry/gen-chem-review/electronegativity-polarity", "extended_slug": "science/organic-chemistry/gen-chem-review/electronegativity-polarity", "slug": "electronegativity-polarity", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0b19ec6d7d2bff095d4de5305d982c58885ef660", "standalone_title": "Electronegativity", "y_pos": 0.0, "current_revision_key": "0b19ec6d7d2bff095d4de5305d982c58885ef660", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "A review of hybrid orbitals, dot structures, electronegativity, and polarity", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A review of hybrid orbitals, dot structures, electronegativity, and polarity", "x_pos": 0.0, "node_slug": "gen-chem-review", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax05fcddcb", "topic_page_url": "/science/organic-chemistry/gen-chem-review", "extended_slug": "science/organic-chemistry/gen-chem-review", "slug": "gen-chem-review", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b203993d402b0e267b486d2e4e5a36d15b54e6c3", "standalone_title": "General chemistry review", "y_pos": 0.0, "current_revision_key": "b203993d402b0e267b486d2e4e5a36d15b54e6c3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures", "translated_standalone_title": "Organic structures and acid/base", "translated_title": "Organic structures and acid/base", "gplus_url": "", "id": "xb32d9a90", "old_key_name": "mrlXoNs_5n2qalHl4eh1fWhngR7Fogvo10liM7nf", "hide": false, "title": "Organic structures and acid/base", "child_data": [{"kind": "Topic", "id": "xdca2f3a5"}, {"kind": "Topic", "id": "xe0f45711"}, {"kind": "Topic", "id": "x5e377598"}, {"kind": "Topic", "id": "x4c0f04b6"}, {"kind": "Topic", "id": "xf3fbf21d"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures/bond-line-structures", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures/bond-line-structures", "translated_standalone_title": "Bond-line structures", "translated_title": "Bond-line structures", "gplus_url": "", "id": "xdca2f3a5", "old_key_name": "CccqSuZ47bsBNaW7DBJS6ADj-NhHuShQv08-KgbE", "hide": false, "title": "Bond-line structures", "child_data": [{"kind": "Video", "id": 1258954302}, {"kind": "Video", "id": 1258795904}, {"kind": "Video", "id": 1258898522}], "children": [{"translated_youtube_id": "M1DYNhTaDog", "relative_url": "/video/bond-line-structures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bond-line-structures", "duration": 899, "translated_title": "Bond-line structures", "translated_description_html": "Correction: On the last example, I said double bond and then corrected myself by saying triple bond.", "id": "1258954302", "description_html": "Correction: On the last example, I said double bond and then corrected myself by saying triple bond.", "title": "Bond-line structures", "progress_key": "v1258954302", "edit_slug": "edit/v/1258954302", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Correction: On the last example, I said double bond and then corrected myself by saying triple bond.", "extra_properties": {"original_url": ""}, "node_slug": "v/bond-line-structures", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:14:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M1DYNhTaDog.mp4/M1DYNhTaDog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M1DYNhTaDog.mp4/M1DYNhTaDog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M1DYNhTaDog.m3u8/M1DYNhTaDog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M1DYNhTaDog&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1258954302", "sha": "11351ed26050bf812993d4f521944bf4c863668e", "translated_description": "Correction: On the last example, I said double bond and then corrected myself by saying triple bond.", "image_url": "https://img.youtube.com/vi/M1DYNhTaDog/hqdefault.jpg", "youtube_id": "M1DYNhTaDog", "content_kind": "Video", "readable_id": "bond-line-structures"}, {"translated_youtube_id": "W-PoNMSawwQ", "relative_url": "/video/3-d-bond-line-structures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-d-bond-line-structures", "duration": 722, "translated_title": "3D bond-line structures", "translated_description_html": "", "id": "1258795904", "description_html": "", "title": "3D bond-line structures", "progress_key": "v1258795904", "edit_slug": "edit/v/1258795904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/3-d-bond-line-structures", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:14:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.mp4/W-PoNMSawwQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.mp4/W-PoNMSawwQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.m3u8/W-PoNMSawwQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W-PoNMSawwQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1258795904", "sha": "9260c59ff8e46ce1ab2ce26a5e1238d6c91b8e66", "translated_description": "", "image_url": "https://img.youtube.com/vi/W-PoNMSawwQ/hqdefault.jpg", "youtube_id": "W-PoNMSawwQ", "content_kind": "Video", "readable_id": "3-d-bond-line-structures"}, {"translated_youtube_id": "P4QrhyrlrRU", "relative_url": "/video/structural--constitutional--isomers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structural--constitutional--isomers", "duration": 627, "translated_title": "Structural (constitutional) isomers", "translated_description_html": "", "id": "1258898522", "description_html": "", "title": "Structural (constitutional) isomers", "progress_key": "v1258898522", "edit_slug": "edit/v/1258898522", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/structural--constitutional--isomers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:15:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P4QrhyrlrRU.mp4/P4QrhyrlrRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P4QrhyrlrRU.mp4/P4QrhyrlrRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P4QrhyrlrRU.m3u8/P4QrhyrlrRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P4QrhyrlrRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1258898522", "sha": "03dbab52a60555ad8f7fe3893dfc51762c2c0081", "translated_description": "", "image_url": "https://img.youtube.com/vi/P4QrhyrlrRU/hqdefault.jpg", "youtube_id": "P4QrhyrlrRU", "content_kind": "Video", "readable_id": "structural--constitutional--isomers"}], "twitter_url": "", "translated_description": "Call them Bonds. Covalent Bonds. Smart chemists need time to stir (and shake) their solutions. In this tutorial, Jay explains how chemists use bond-line structures as a form of organic shorthand to skip time-consuming carbon and hydrogen atoms labeling. Watch this tutorial so you too can be in the Dr. Know.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Call them Bonds. Covalent Bonds. Smart chemists need time to stir (and shake) their solutions. In this tutorial, Jay explains how chemists use bond-line structures as a form of organic shorthand to skip time-consuming carbon and hydrogen atoms labeling. Watch this tutorial so you too can be in the Dr. Know.", "x_pos": 0.0, "node_slug": "bond-line-structures", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdca2f3a5", "topic_page_url": "/science/organic-chemistry/organic-structures/bond-line-structures", "extended_slug": "science/organic-chemistry/organic-structures/bond-line-structures", "slug": "bond-line-structures", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "635f1bd80c55414e83b283c72c07246fe60cf300", "standalone_title": "Bond-line structures", "y_pos": 0.0, "current_revision_key": "635f1bd80c55414e83b283c72c07246fe60cf300", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures/functional-groups", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures/functional-groups", "translated_standalone_title": "Functional groups", "translated_title": "Functional groups", "gplus_url": "", "id": "xe0f45711", "old_key_name": "wDhQOGFlwBVLWtoJ-nn-p8IAbiPc9w05jfoWtGND", "hide": false, "title": "Functional groups", "child_data": [{"kind": "Video", "id": 1258831638}, {"kind": "Video", "id": 1258866619}], "children": [{"translated_youtube_id": "KqjENf-ym-I", "relative_url": "/video/functional-groups-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/functional-groups-i", "duration": 752, "translated_title": "Functional groups I", "translated_description_html": "", "id": "1258831638", "description_html": "", "title": "Functional groups I", "progress_key": "v1258831638", "edit_slug": "edit/v/1258831638", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/functional-groups-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:16:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KqjENf-ym-I.mp4/KqjENf-ym-I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KqjENf-ym-I.mp4/KqjENf-ym-I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KqjENf-ym-I.m3u8/KqjENf-ym-I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KqjENf-ym-I&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258831638", "sha": "7f609968936958d7180d472d9ecd59153229e50c", "translated_description": "", "image_url": "https://img.youtube.com/vi/KqjENf-ym-I/hqdefault.jpg", "youtube_id": "KqjENf-ym-I", "content_kind": "Video", "readable_id": "functional-groups-i"}, {"translated_youtube_id": "IOD5Wb-FKyw", "relative_url": "/video/functional-groups-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/functional-groups-ii", "duration": 469, "translated_title": "Functional groups II", "translated_description_html": "", "id": "1258866619", "description_html": "", "title": "Functional groups II", "progress_key": "v1258866619", "edit_slug": "edit/v/1258866619", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/functional-groups-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:16:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IOD5Wb-FKyw.mp4/IOD5Wb-FKyw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IOD5Wb-FKyw.mp4/IOD5Wb-FKyw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IOD5Wb-FKyw.m3u8/IOD5Wb-FKyw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IOD5Wb-FKyw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258866619", "sha": "22351fc63fb2d1e42e61cf3c2cb90f099164498e", "translated_description": "", "image_url": "https://img.youtube.com/vi/IOD5Wb-FKyw/hqdefault.jpg", "youtube_id": "IOD5Wb-FKyw", "content_kind": "Video", "readable_id": "functional-groups-ii"}], "twitter_url": "", "translated_description": "In this tutorial, Jay puts the \"fun\" back into recognizing functional groups.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay puts the \"fun\" back into recognizing functional groups.", "x_pos": 0.0, "node_slug": "functional-groups", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0f45711", "topic_page_url": "/science/organic-chemistry/organic-structures/functional-groups", "extended_slug": "science/organic-chemistry/organic-structures/functional-groups", "slug": "functional-groups", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "fe9e927ad389be2047bb1ab12d818ca3b5c4311f", "standalone_title": "Functional groups", "y_pos": 0.0, "current_revision_key": "fe9e927ad389be2047bb1ab12d818ca3b5c4311f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures/formal-charge-resonance", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures/formal-charge-resonance", "translated_standalone_title": "Formal charge and resonance", "translated_title": "Formal charge and resonance", "gplus_url": "", "id": "x5e377598", "old_key_name": "d8HcUetfh7e2gVuSCxdYHufgXAdv0ucTxG_Fj2mt", "hide": false, "title": "Formal charge and resonance", "child_data": [{"kind": "Video", "id": 1258999049}, {"kind": "Video", "id": 1258986170}], "children": [{"translated_youtube_id": "Ha80KzSW5rk", "relative_url": "/video/formal-charge-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formal-charge-i", "duration": 747, "translated_title": "Formal charge I", "translated_description_html": "", "id": "1258999049", "description_html": "", "title": "Formal charge I", "progress_key": "v1258999049", "edit_slug": "edit/v/1258999049", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/formal-charge-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:17:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ha80KzSW5rk.mp4/Ha80KzSW5rk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ha80KzSW5rk.mp4/Ha80KzSW5rk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ha80KzSW5rk.m3u8/Ha80KzSW5rk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ha80KzSW5rk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258999049", "sha": "9ad7db62bdefd14bd41243444ca0f78ab0ce72c3", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ha80KzSW5rk/hqdefault.jpg", "youtube_id": "Ha80KzSW5rk", "content_kind": "Video", "readable_id": "formal-charge-i"}, {"translated_youtube_id": "wXIhWqunQgc", "relative_url": "/video/formal-charge-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formal-charge-ii", "duration": 658, "translated_title": "Formal charge II", "translated_description_html": "", "id": "1258986170", "description_html": "", "title": "Formal charge II", "progress_key": "v1258986170", "edit_slug": "edit/v/1258986170", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/formal-charge-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:18:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.mp4/wXIhWqunQgc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.mp4/wXIhWqunQgc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.m3u8/wXIhWqunQgc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wXIhWqunQgc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258986170", "sha": "dfedeb8b2740cb61a811417b7dd8805d9df8630e", "translated_description": "", "image_url": "https://img.youtube.com/vi/wXIhWqunQgc/hqdefault.jpg", "youtube_id": "wXIhWqunQgc", "content_kind": "Video", "readable_id": "formal-charge-ii"}], "twitter_url": "", "translated_description": "Positive and negative charges are everywhere in orgo! In this tutorial, Jay shows you how to assign formal charges to molecules and how to draw resonance structures.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Positive and negative charges are everywhere in orgo! In this tutorial, Jay shows you how to assign formal charges to molecules and how to draw resonance structures.", "x_pos": 0.0, "node_slug": "formal-charge-resonance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5e377598", "topic_page_url": "/science/organic-chemistry/organic-structures/formal-charge-resonance", "extended_slug": "science/organic-chemistry/organic-structures/formal-charge-resonance", "slug": "formal-charge-resonance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aa0c5e5b34653a31cc38ea3d0cd5226925095d24", "standalone_title": "Formal charge and resonance", "y_pos": 0.0, "current_revision_key": "aa0c5e5b34653a31cc38ea3d0cd5226925095d24", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures/oxidation-reduction-review", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures/oxidation-reduction-review", "translated_standalone_title": "Oxidation and reduction", "translated_title": "Oxidation and reduction", "gplus_url": "", "id": "x4c0f04b6", "old_key_name": "-MkvCEBKAPpZwP-xAMwAceCxIp76WVdzbpj6lRYh", "hide": false, "title": "Oxidation and reduction", "child_data": [{"kind": "Video", "id": 1258913683}, {"kind": "Video", "id": 1258987192}], "children": [{"translated_youtube_id": "1C4ETKeTMq8", "relative_url": "/video/oxidation-states-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-states-i", "duration": 778, "translated_title": "Oxidation states I", "translated_description_html": "", "id": "1258913683", "description_html": "", "title": "Oxidation states I", "progress_key": "v1258913683", "edit_slug": "edit/v/1258913683", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/oxidation-states-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:41:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.mp4/1C4ETKeTMq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.mp4/1C4ETKeTMq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.m3u8/1C4ETKeTMq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1C4ETKeTMq8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258913683", "sha": "5f86a76e1c6f5c7a5a849c59cb657d1841a5b0bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/1C4ETKeTMq8/hqdefault.jpg", "youtube_id": "1C4ETKeTMq8", "content_kind": "Video", "readable_id": "oxidation-states-i"}, {"translated_youtube_id": "wgJJlnlGREo", "relative_url": "/video/oxidation-states-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-states-ii", "duration": 741, "translated_title": "Oxidation states II", "translated_description_html": "", "id": "1258987192", "description_html": "", "title": "Oxidation states II", "progress_key": "v1258987192", "edit_slug": "edit/v/1258987192", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/oxidation-states-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:41:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.mp4/wgJJlnlGREo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.mp4/wgJJlnlGREo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.m3u8/wgJJlnlGREo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wgJJlnlGREo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258987192", "sha": "14133ce89dbc0638a44461fdb7648a15740568ab", "translated_description": "", "image_url": "https://img.youtube.com/vi/wgJJlnlGREo/hqdefault.jpg", "youtube_id": "wgJJlnlGREo", "content_kind": "Video", "readable_id": "oxidation-states-ii"}], "twitter_url": "", "translated_description": "LEO the Lion goes GERRRR!!!! If that is all that you remember about redox from general chemistry, then this tutorial is for you! Jay shows you how to assign oxidation states in organic molecules.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "LEO the Lion goes GERRRR!!!! If that is all that you remember about redox from general chemistry, then this tutorial is for you! Jay shows you how to assign oxidation states in organic molecules.", "x_pos": 0.0, "node_slug": "oxidation-reduction-review", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4c0f04b6", "topic_page_url": "/science/organic-chemistry/organic-structures/oxidation-reduction-review", "extended_slug": "science/organic-chemistry/organic-structures/oxidation-reduction-review", "slug": "oxidation-reduction-review", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c01e671eddbf1b85a31b38fff9a7da34aea661fb", "standalone_title": "Oxidation and reduction", "y_pos": 0.0, "current_revision_key": "c01e671eddbf1b85a31b38fff9a7da34aea661fb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/organic-structures/acid-base-review", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/organic-structures/acid-base-review", "translated_standalone_title": "Acid/base", "translated_title": "Acid/base", "gplus_url": "", "id": "xf3fbf21d", "old_key_name": "rq6CeIrGjnAXWe03VrO-ShzsSMsEXRv5vzU2tIME", "hide": false, "title": "Acid/base", "child_data": [{"kind": "Video", "id": "x820e415b"}, {"kind": "Video", "id": "x22b927f0"}, {"kind": "Video", "id": "x2bcbfd55"}, {"kind": "Video", "id": "xa8c367ba"}, {"kind": "Video", "id": "xffb0d365"}, {"kind": "Video", "id": "x16f16bc0"}], "children": [{"translated_youtube_id": "diCb6JkLlQE", "relative_url": "/video/acid-base-lewis-bronsted-lowry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/acid-base-lewis-bronsted-lowry", "duration": 511, "translated_title": "Acid-base definitions", "translated_description_html": "


<\/p>", "id": "x820e415b", "description_html": "


<\/p>", "title": "Acid-base definitions", "progress_key": "vx820e415b", "edit_slug": "edit/v/x820e415b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/acid-base-lewis-bronsted-lowry", "deleted": false, "backup_timestamp": "2013-10-31T14:42:30Z", "date_added": "2013-10-31T14:42:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/diCb6JkLlQE.mp4/diCb6JkLlQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/diCb6JkLlQE.mp4/diCb6JkLlQE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/diCb6JkLlQE.m3u8/diCb6JkLlQE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=diCb6JkLlQE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx820e415b", "sha": "51eca17bae085724fac8499f1320f051d487b7ce", "translated_description": "", "image_url": "https://img.youtube.com/vi/diCb6JkLlQE/hqdefault.jpg", "youtube_id": "diCb6JkLlQE", "content_kind": "Video", "readable_id": "acid-base-lewis-bronsted-lowry"}, {"translated_youtube_id": "ICKwi02Uk3Y", "relative_url": "/video/ka-and-pka-derivation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ka-and-pka-derivation", "duration": 528, "translated_title": "Ka and pKa derivation", "translated_description_html": "A review of Keq, Ka, and pKa", "id": "x22b927f0", "description_html": "A review of Keq, Ka, and pKa", "title": "Ka and pKa derivation", "progress_key": "vx22b927f0", "edit_slug": "edit/v/x22b927f0", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A review of Keq, Ka, and pKa", "extra_properties": {"original_url": ""}, "node_slug": "v/ka-and-pka-derivation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-23T15:15:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ICKwi02Uk3Y.mp4/ICKwi02Uk3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ICKwi02Uk3Y.mp4/ICKwi02Uk3Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ICKwi02Uk3Y.m3u8/ICKwi02Uk3Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ICKwi02Uk3Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx22b927f0", "sha": "afd8059509be2367d8c7b6af1559c7599d077468", "translated_description": "A review of Keq, Ka, and pKa", "image_url": "https://img.youtube.com/vi/ICKwi02Uk3Y/hqdefault.jpg", "youtube_id": "ICKwi02Uk3Y", "content_kind": "Video", "readable_id": "ka-and-pka-derivation"}, {"translated_youtube_id": "wIpM1VMxql8", "relative_url": "/video/stabilization-of-conjugate-base-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stabilization-of-conjugate-base-i", "duration": 414, "translated_title": "Stabilization of conjugate base I", "translated_description_html": "electronegativity", "id": "x2bcbfd55", "description_html": "electronegativity", "title": "Stabilization of conjugate base I", "progress_key": "vx2bcbfd55", "edit_slug": "edit/v/x2bcbfd55", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "electronegativity", "extra_properties": {"original_url": ""}, "node_slug": "v/stabilization-of-conjugate-base-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-23T15:16:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wIpM1VMxql8.mp4/wIpM1VMxql8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wIpM1VMxql8.mp4/wIpM1VMxql8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wIpM1VMxql8.m3u8/wIpM1VMxql8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wIpM1VMxql8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2bcbfd55", "sha": "24481ebab5d95967c49094534c25aff7dc987306", "translated_description": "electronegativity", "image_url": "https://img.youtube.com/vi/wIpM1VMxql8/hqdefault.jpg", "youtube_id": "wIpM1VMxql8", "content_kind": "Video", "readable_id": "stabilization-of-conjugate-base-i"}, {"translated_youtube_id": "NcW-bDvybhE", "relative_url": "/video/stabilization-of-conjugate-base-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stabilization-of-conjugate-base-ii", "duration": 485, "translated_title": "Stabilization of conjugate base II", "translated_description_html": "resonance structures", "id": "xa8c367ba", "description_html": "resonance structures", "title": "Stabilization of conjugate base II", "progress_key": "vxa8c367ba", "edit_slug": "edit/v/xa8c367ba", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "resonance structures", "extra_properties": {"original_url": ""}, "node_slug": "v/stabilization-of-conjugate-base-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-23T15:17:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NcW-bDvybhE.mp4/NcW-bDvybhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NcW-bDvybhE.mp4/NcW-bDvybhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NcW-bDvybhE.m3u8/NcW-bDvybhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NcW-bDvybhE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa8c367ba", "sha": "1353aa4f7e70b18ffd30338cc2f486cfd7d175f6", "translated_description": "resonance structures", "image_url": "https://img.youtube.com/vi/NcW-bDvybhE/hqdefault.jpg", "youtube_id": "NcW-bDvybhE", "content_kind": "Video", "readable_id": "stabilization-of-conjugate-base-ii"}, {"translated_youtube_id": "0RKGWzbknbU", "relative_url": "/video/stabilization-of-conjugate-base-iii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stabilization-of-conjugate-base-iii", "duration": 709, "translated_title": "Stabilization of conjugate base III", "translated_description_html": "Inductive effects on acidity", "id": "xffb0d365", "description_html": "Inductive effects on acidity", "title": "Stabilization of conjugate base III", "progress_key": "vxffb0d365", "edit_slug": "edit/v/xffb0d365", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Inductive effects on acidity", "extra_properties": {"original_url": ""}, "node_slug": "v/stabilization-of-conjugate-base-iii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-05-21T01:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0RKGWzbknbU.mp4/0RKGWzbknbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0RKGWzbknbU.mp4/0RKGWzbknbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0RKGWzbknbU.m3u8/0RKGWzbknbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0RKGWzbknbU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxffb0d365", "sha": "073d466943946a4b9b97eb4e4a88b1f0c7dce6ce", "translated_description": "Inductive effects on acidity", "image_url": "https://img.youtube.com/vi/0RKGWzbknbU/hqdefault.jpg", "youtube_id": "0RKGWzbknbU", "content_kind": "Video", "readable_id": "stabilization-of-conjugate-base-iii"}, {"translated_youtube_id": "YreF8RRu_pA", "relative_url": "/video/stabilization-of-conjugate-base-iv", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stabilization-of-conjugate-base-iv", "duration": 485, "translated_title": "Stabilization of conjugate base IV", "translated_description_html": "The effect of hybrid orbitals on acidity", "id": "x16f16bc0", "description_html": "The effect of hybrid orbitals on acidity", "title": "Stabilization of conjugate base IV", "progress_key": "vx16f16bc0", "edit_slug": "edit/v/x16f16bc0", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The effect of hybrid orbitals on acidity", "extra_properties": {"original_url": ""}, "node_slug": "v/stabilization-of-conjugate-base-iv", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-21T01:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YreF8RRu_pA.mp4/YreF8RRu_pA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YreF8RRu_pA.mp4/YreF8RRu_pA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YreF8RRu_pA.m3u8/YreF8RRu_pA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YreF8RRu_pA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx16f16bc0", "sha": "33e622e3a4b82e8b44a091e7244ebbb87805a62c", "translated_description": "The effect of hybrid orbitals on acidity", "image_url": "https://img.youtube.com/vi/YreF8RRu_pA/hqdefault.jpg", "youtube_id": "YreF8RRu_pA", "content_kind": "Video", "readable_id": "stabilization-of-conjugate-base-iv"}], "twitter_url": "", "translated_description": "Do you remember the basics of acid/base chemistry? In this tutorial, Jay reminds you of a few definitions, shows you how the stability of the conjugate base affects the acidity of the molecule, and demonstrates the importance of pKa values.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do you remember the basics of acid/base chemistry? In this tutorial, Jay reminds you of a few definitions, shows you how the stability of the conjugate base affects the acidity of the molecule, and demonstrates the importance of pKa values.", "x_pos": 0.0, "node_slug": "acid-base-review", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf3fbf21d", "topic_page_url": "/science/organic-chemistry/organic-structures/acid-base-review", "extended_slug": "science/organic-chemistry/organic-structures/acid-base-review", "slug": "acid-base-review", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "868c3bef4d9be3959533793eb03ec1c520c68f5f", "standalone_title": "Acid/base", "y_pos": 0.0, "current_revision_key": "868c3bef4d9be3959533793eb03ec1c520c68f5f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "bond-line structures, functional groups, formal charges, resonance structures, oxidation and reduction, acid/base chemistry", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "bond-line structures, functional groups, formal charges, resonance structures, oxidation and reduction, acid/base chemistry", "x_pos": 0.0, "node_slug": "organic-structures", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb32d9a90", "topic_page_url": "/science/organic-chemistry/organic-structures", "extended_slug": "science/organic-chemistry/organic-structures", "slug": "organic-structures", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "814bf959a6d1716ebb81188657eea292900a3bc6", "standalone_title": "Organic structures and acid/base", "y_pos": 0.0, "current_revision_key": "814bf959a6d1716ebb81188657eea292900a3bc6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes", "translated_standalone_title": "Alkanes and cycloalkanes", "translated_title": "Alkanes and cycloalkanes", "gplus_url": "", "id": "x84cadce3", "old_key_name": "UeiIThDxirySEd5iFJqxHwkrfTj_bV867DufwE84", "hide": false, "title": "Alkanes and cycloalkanes", "child_data": [{"kind": "Topic", "id": "x69d8363e"}, {"kind": "Topic", "id": "xde2fbe5d"}, {"kind": "Topic", "id": "x5ba816e4"}, {"kind": "Topic", "id": "x31eded36"}, {"kind": "Topic", "id": "x09c75f63"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes", "translated_standalone_title": "Naming alkanes", "translated_title": "Naming alkanes", "gplus_url": "", "id": "x69d8363e", "old_key_name": "ZUkgUyYyTr00fD6h7U1xLPBOln4mjOKGOTSByzFu", "hide": false, "title": "Naming alkanes", "child_data": [{"kind": "Video", "id": 2600599}, {"kind": "Video", "id": 2600600}, {"kind": "Video", "id": 2600601}, {"kind": "Video", "id": 2600602}, {"kind": "Video", "id": 2600603}, {"kind": "Video", "id": "x78da269e"}, {"kind": "Video", "id": "xb440ca7f"}, {"kind": "Video", "id": 2600605}, {"kind": "Video", "id": 2600606}, {"kind": "Video", "id": "x1e724a5d"}, {"kind": "Video", "id": "x2779ce12"}, {"kind": "Video", "id": 2600608}], "children": [{"translated_youtube_id": "pMoA65Dj-zk", "relative_url": "/video/representing-structures-of-organic-molecules", "has_questions": false, "keywords": "Organic, Chemistry, molecular, structure", "ka_url": "http://www.khanacademy.org/video/representing-structures-of-organic-molecules", "duration": 449, "translated_title": "Representing structures of organic molecules", "translated_description_html": "Representing Structures of Organic Molecules", "id": "2600599", "description_html": "Representing Structures of Organic Molecules", "title": "Representing structures of organic molecules", "progress_key": "v2600599", "edit_slug": "edit/v/2600599", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Representing Structures of Organic Molecules", "extra_properties": null, "node_slug": "v/representing-structures-of-organic-molecules", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pMoA65Dj-zk.mp4/pMoA65Dj-zk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pMoA65Dj-zk.mp4/pMoA65Dj-zk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pMoA65Dj-zk.m3u8/pMoA65Dj-zk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pMoA65Dj-zk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600599", "sha": "6194c043433bd0b4b234c9ea2a31b16fff3b04f2", "translated_description": "Representing Structures of Organic Molecules", "image_url": "https://img.youtube.com/vi/pMoA65Dj-zk/hqdefault.jpg", "youtube_id": "pMoA65Dj-zk", "content_kind": "Video", "readable_id": "representing-structures-of-organic-molecules"}, {"translated_youtube_id": "NRFPvLp3r3g", "relative_url": "/video/naming-simple-alkanes", "has_questions": false, "keywords": "Naming, Simple, Alkanes", "ka_url": "http://www.khanacademy.org/video/naming-simple-alkanes", "duration": 568, "translated_title": "Naming simple alkanes", "translated_description_html": "Naming Simple Alkanes", "id": "2600600", "description_html": "Naming Simple Alkanes", "title": "Naming simple alkanes", "progress_key": "v2600600", "edit_slug": "edit/v/2600600", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Naming Simple Alkanes", "extra_properties": null, "node_slug": "v/naming-simple-alkanes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NRFPvLp3r3g.mp4/NRFPvLp3r3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NRFPvLp3r3g.mp4/NRFPvLp3r3g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NRFPvLp3r3g.m3u8/NRFPvLp3r3g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NRFPvLp3r3g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600600", "sha": "7ab1e06d4739469eb9a027bf0dba383545279d96", "translated_description": "Naming Simple Alkanes", "image_url": "https://img.youtube.com/vi/NRFPvLp3r3g/hqdefault.jpg", "youtube_id": "NRFPvLp3r3g", "content_kind": "Video", "readable_id": "naming-simple-alkanes"}, {"translated_youtube_id": "KKAD-OOOHxg", "relative_url": "/video/naming-alkanes-with-alkyl-groups", "has_questions": false, "keywords": "Naming, Alkanes, with, Alkyl, Groups", "ka_url": "http://www.khanacademy.org/video/naming-alkanes-with-alkyl-groups", "duration": 664, "translated_title": "Naming alkanes with alkyl groups", "translated_description_html": "Naming Alkanes with Alkyl Groups", "id": "2600601", "description_html": "Naming Alkanes with Alkyl Groups", "title": "Naming alkanes with alkyl groups", "progress_key": "v2600601", "edit_slug": "edit/v/2600601", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Naming Alkanes with Alkyl Groups", "extra_properties": null, "node_slug": "v/naming-alkanes-with-alkyl-groups", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KKAD-OOOHxg.mp4/KKAD-OOOHxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KKAD-OOOHxg.mp4/KKAD-OOOHxg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KKAD-OOOHxg.m3u8/KKAD-OOOHxg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KKAD-OOOHxg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600601", "sha": "b73e9b429627bb486c1c723fe27bb60488c73722", "translated_description": "Naming Alkanes with Alkyl Groups", "image_url": "https://img.youtube.com/vi/KKAD-OOOHxg/hqdefault.jpg", "youtube_id": "KKAD-OOOHxg", "content_kind": "Video", "readable_id": "naming-alkanes-with-alkyl-groups"}, {"translated_youtube_id": "CFBKfgGTP98", "relative_url": "/video/correction---2-propylheptane-should-never-be-the-name", "has_questions": false, "keywords": "Correction, 2-Propylheptane, should, never, be, the, name!", "ka_url": "http://www.khanacademy.org/video/correction---2-propylheptane-should-never-be-the-name", "duration": 176, "translated_title": "Correction - 2-propylheptane should never be the name!", "translated_description_html": "Correction - 2-Propylheptane should never be the name!", "id": "2600602", "description_html": "Correction - 2-Propylheptane should never be the name!", "title": "Correction - 2-propylheptane should never be the name!", "progress_key": "v2600602", "edit_slug": "edit/v/2600602", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Correction - 2-Propylheptane should never be the name!", "extra_properties": null, "node_slug": "v/correction---2-propylheptane-should-never-be-the-name", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFBKfgGTP98.mp4/CFBKfgGTP98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFBKfgGTP98.mp4/CFBKfgGTP98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CFBKfgGTP98.m3u8/CFBKfgGTP98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CFBKfgGTP98&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600602", "sha": "247f9eb3fc21f0e78071b2082af612537107373e", "translated_description": "Correction - 2-Propylheptane should never be the name!", "image_url": "https://img.youtube.com/vi/CFBKfgGTP98/hqdefault.jpg", "youtube_id": "CFBKfgGTP98", "content_kind": "Video", "readable_id": "correction---2-propylheptane-should-never-be-the-name"}, {"translated_youtube_id": "TJUm860AjNw", "relative_url": "/video/common-and-systematic-naming-iso--sec-and-tert-prefixes", "has_questions": false, "keywords": "Sec and Tert Prefixes", "ka_url": "http://www.khanacademy.org/video/common-and-systematic-naming-iso--sec-and-tert-prefixes", "duration": 812, "translated_title": "Common and systematic naming: iso-, sec-, and tert- prefixes", "translated_description_html": "

Common and Systematic Naming-Iso, Sec and Tert Prefixes<\/p>", "id": "2600603", "description_html": "

Common and Systematic Naming-Iso, Sec and Tert Prefixes<\/p>", "title": "Common and systematic naming: iso-, sec-, and tert- prefixes", "progress_key": "v2600603", "edit_slug": "edit/v/2600603", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Common and Systematic Naming-Iso, Sec and Tert Prefixes", "extra_properties": {}, "node_slug": "v/common-and-systematic-naming-iso--sec-and-tert-prefixes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TJUm860AjNw.mp4/TJUm860AjNw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TJUm860AjNw.mp4/TJUm860AjNw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TJUm860AjNw.m3u8/TJUm860AjNw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TJUm860AjNw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600603", "sha": "45b7aa13c9a4d7fee046ea771b9bb29e317e9bbb", "translated_description": "Common and Systematic Naming-Iso, Sec and Tert Prefixes", "image_url": "https://img.youtube.com/vi/TJUm860AjNw/hqdefault.jpg", "youtube_id": "TJUm860AjNw", "content_kind": "Video", "readable_id": "common-and-systematic-naming-iso--sec-and-tert-prefixes"}, {"translated_youtube_id": "q_Q9C1Ooofc", "relative_url": "/video/alkane-with-ethyl-groups", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkane-with-ethyl-groups", "duration": 177, "translated_title": "Naming alkanes with ethyl groups", "translated_description_html": "", "id": "x78da269e", "description_html": "", "title": "Naming alkanes with ethyl groups", "progress_key": "vx78da269e", "edit_slug": "edit/v/x78da269e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/alkane-with-ethyl-groups", "deleted": false, "backup_timestamp": "2013-11-21T19:16:29Z", "date_added": "2013-11-21T19:16:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q_Q9C1Ooofc.mp4/q_Q9C1Ooofc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q_Q9C1Ooofc.mp4/q_Q9C1Ooofc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q_Q9C1Ooofc.m3u8/q_Q9C1Ooofc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q_Q9C1Ooofc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78da269e", "sha": "e5b68519c16224962480cde0d94d4d5919ecef14", "translated_description": "", "image_url": "https://img.youtube.com/vi/q_Q9C1Ooofc/hqdefault.jpg", "youtube_id": "q_Q9C1Ooofc", "content_kind": "Video", "readable_id": "alkane-with-ethyl-groups"}, {"translated_youtube_id": "O9RPGJcAfJk", "relative_url": "/video/alkane-with-isopropyl-group", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkane-with-isopropyl-group", "duration": 499, "translated_title": "Alkane with isopropyl group", "translated_description_html": "", "id": "xb440ca7f", "description_html": "", "title": "Alkane with isopropyl group", "progress_key": "vxb440ca7f", "edit_slug": "edit/v/xb440ca7f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/alkane-with-isopropyl-group", "deleted": false, "backup_timestamp": "2013-11-21T19:16:29Z", "date_added": "2013-11-21T19:16:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O9RPGJcAfJk.mp4/O9RPGJcAfJk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O9RPGJcAfJk.mp4/O9RPGJcAfJk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O9RPGJcAfJk.m3u8/O9RPGJcAfJk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O9RPGJcAfJk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb440ca7f", "sha": "0742406c00c9e2d9186b1de5eebac036d55bdcca", "translated_description": "", "image_url": "https://img.youtube.com/vi/O9RPGJcAfJk/hqdefault.jpg", "youtube_id": "O9RPGJcAfJk", "content_kind": "Video", "readable_id": "alkane-with-isopropyl-group"}, {"translated_youtube_id": "CJRQ8gOjq4E", "relative_url": "/video/organic-chemistry-naming-examples-2", "has_questions": false, "keywords": "Organic, Chemistry, Naming, Examples", "ka_url": "http://www.khanacademy.org/video/organic-chemistry-naming-examples-2", "duration": 626, "translated_title": "Organic chemistry naming examples 2", "translated_description_html": "Organic Chemistry Naming Examples 2", "id": "2600605", "description_html": "Organic Chemistry Naming Examples 2", "title": "Organic chemistry naming examples 2", "progress_key": "v2600605", "edit_slug": "edit/v/2600605", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Organic Chemistry Naming Examples 2", "extra_properties": null, "node_slug": "v/organic-chemistry-naming-examples-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJRQ8gOjq4E.mp4/CJRQ8gOjq4E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJRQ8gOjq4E.mp4/CJRQ8gOjq4E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CJRQ8gOjq4E.m3u8/CJRQ8gOjq4E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CJRQ8gOjq4E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600605", "sha": "0356c4b47032643c0230897d23654b8b6c77c9b8", "translated_description": "Organic Chemistry Naming Examples 2", "image_url": "https://img.youtube.com/vi/CJRQ8gOjq4E/hqdefault.jpg", "youtube_id": "CJRQ8gOjq4E", "content_kind": "Video", "readable_id": "organic-chemistry-naming-examples-2"}, {"translated_youtube_id": "Se-ekDNhCDk", "relative_url": "/video/organic-chemistry-naming-examples-3", "has_questions": false, "keywords": "Organic, Chemistry, Naming, Examples", "ka_url": "http://www.khanacademy.org/video/organic-chemistry-naming-examples-3", "duration": 491, "translated_title": "Organic chemistry naming examples 3", "translated_description_html": "Organic Chemistry Naming Examples 3", "id": "2600606", "description_html": "Organic Chemistry Naming Examples 3", "title": "Organic chemistry naming examples 3", "progress_key": "v2600606", "edit_slug": "edit/v/2600606", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Organic Chemistry Naming Examples 3", "extra_properties": null, "node_slug": "v/organic-chemistry-naming-examples-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Se-ekDNhCDk.mp4/Se-ekDNhCDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Se-ekDNhCDk.mp4/Se-ekDNhCDk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Se-ekDNhCDk.m3u8/Se-ekDNhCDk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Se-ekDNhCDk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600606", "sha": "36955ce8a498b98a0e6dee778c0ef0d45850d55c", "translated_description": "Organic Chemistry Naming Examples 3", "image_url": "https://img.youtube.com/vi/Se-ekDNhCDk/hqdefault.jpg", "youtube_id": "Se-ekDNhCDk", "content_kind": "Video", "readable_id": "organic-chemistry-naming-examples-3"}, {"translated_youtube_id": "ygXkdSKXQoA", "relative_url": "/video/naming-cycloalkane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/naming-cycloalkane", "duration": 463, "translated_title": "Naming a cycloalkane", "translated_description_html": "", "id": "x1e724a5d", "description_html": "", "title": "Naming a cycloalkane", "progress_key": "vx1e724a5d", "edit_slug": "edit/v/x1e724a5d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/naming-cycloalkane", "deleted": false, "backup_timestamp": "2013-11-21T22:31:27Z", "date_added": "2013-11-21T22:31:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ygXkdSKXQoA.mp4/ygXkdSKXQoA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ygXkdSKXQoA.mp4/ygXkdSKXQoA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ygXkdSKXQoA.m3u8/ygXkdSKXQoA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ygXkdSKXQoA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1e724a5d", "sha": "6353234647267f2db03a3c151b0db506f8465021", "translated_description": "", "image_url": "https://img.youtube.com/vi/ygXkdSKXQoA/hqdefault.jpg", "youtube_id": "ygXkdSKXQoA", "content_kind": "Video", "readable_id": "naming-cycloalkane"}, {"translated_youtube_id": "Xw1CMTXQGPY", "relative_url": "/video/systematic-naming-of-isobutyl-groups", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/systematic-naming-of-isobutyl-groups", "duration": 173, "translated_title": "Naming two isobutlyl groups systematically", "translated_description_html": "", "id": "x2779ce12", "description_html": "", "title": "Naming two isobutlyl groups systematically", "progress_key": "vx2779ce12", "edit_slug": "edit/v/x2779ce12", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/systematic-naming-of-isobutyl-groups", "deleted": false, "backup_timestamp": "2013-11-21T22:31:27Z", "date_added": "2013-11-21T22:31:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xw1CMTXQGPY.mp4/Xw1CMTXQGPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xw1CMTXQGPY.mp4/Xw1CMTXQGPY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xw1CMTXQGPY.m3u8/Xw1CMTXQGPY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xw1CMTXQGPY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2779ce12", "sha": "536c1abae975dfbfd8a859a49fa3ce727bce92cf", "translated_description": "", "image_url": "https://img.youtube.com/vi/Xw1CMTXQGPY/hqdefault.jpg", "youtube_id": "Xw1CMTXQGPY", "content_kind": "Video", "readable_id": "systematic-naming-of-isobutyl-groups"}, {"translated_youtube_id": "6BR0Q5e74bs", "relative_url": "/video/organic-chemistry-naming-examples-5", "has_questions": false, "keywords": "Organic, Chemistry, Naming, Examples", "ka_url": "http://www.khanacademy.org/video/organic-chemistry-naming-examples-5", "duration": 604, "translated_title": "Organic chemistry naming examples 5", "translated_description_html": "Organic Chemistry Naming Examples 5", "id": "2600608", "description_html": "Organic Chemistry Naming Examples 5", "title": "Organic chemistry naming examples 5", "progress_key": "v2600608", "edit_slug": "edit/v/2600608", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Organic Chemistry Naming Examples 5", "extra_properties": null, "node_slug": "v/organic-chemistry-naming-examples-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6BR0Q5e74bs.mp4/6BR0Q5e74bs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6BR0Q5e74bs.mp4/6BR0Q5e74bs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6BR0Q5e74bs.m3u8/6BR0Q5e74bs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6BR0Q5e74bs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600608", "sha": "fa71f56ec39c2826dfb03aaf339ee48668e410e6", "translated_description": "Organic Chemistry Naming Examples 5", "image_url": "https://img.youtube.com/vi/6BR0Q5e74bs/hqdefault.jpg", "youtube_id": "6BR0Q5e74bs", "content_kind": "Video", "readable_id": "organic-chemistry-naming-examples-5"}], "twitter_url": "", "translated_description": "In this tutorial, Sal shows how to name alkanes.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal shows how to name alkanes.", "x_pos": 0.0, "node_slug": "naming-alkanes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax69d8363e", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes", "slug": "naming-alkanes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c9fc40abcf750a557b1623a0c37ef3a9b66e0492", "standalone_title": "Naming alkanes", "y_pos": 0.0, "current_revision_key": "c9fc40abcf750a557b1623a0c37ef3a9b66e0492", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations", "translated_standalone_title": "Conformations", "translated_title": "Conformations", "gplus_url": "", "id": "xde2fbe5d", "old_key_name": "OGzXOpEmB2FPGcWo1DSYj7g9ENU8lCHIu_DlwLnA", "hide": false, "title": "Conformations", "child_data": [{"kind": "Video", "id": 2600613}, {"kind": "Video", "id": 2600614}, {"kind": "Video", "id": 2600615}, {"kind": "Video", "id": 2600616}], "children": [{"translated_youtube_id": "IkmM4CPnqF0", "relative_url": "/video/newman-projections", "has_questions": false, "keywords": "Newman, Projections", "ka_url": "http://www.khanacademy.org/video/newman-projections", "duration": 862, "translated_title": "Newman projections", "translated_description_html": "Newman Projections", "id": "2600613", "description_html": "Newman Projections", "title": "Newman projections", "progress_key": "v2600613", "edit_slug": "edit/v/2600613", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newman Projections", "extra_properties": null, "node_slug": "v/newman-projections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IkmM4CPnqF0.mp4/IkmM4CPnqF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IkmM4CPnqF0.mp4/IkmM4CPnqF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IkmM4CPnqF0.m3u8/IkmM4CPnqF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IkmM4CPnqF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600613", "sha": "0eb2d3d3144b1828079f9ce4feb8585158d9561e", "translated_description": "Newman Projections", "image_url": "https://img.youtube.com/vi/IkmM4CPnqF0/hqdefault.jpg", "youtube_id": "IkmM4CPnqF0", "content_kind": "Video", "readable_id": "newman-projections"}, {"translated_youtube_id": "ryJvNEHcuDg", "relative_url": "/video/newman-projections-2", "has_questions": false, "keywords": "Newman, Projections", "ka_url": "http://www.khanacademy.org/video/newman-projections-2", "duration": 672, "translated_title": "Newman projections 2", "translated_description_html": "Newman Projections 2", "id": "2600614", "description_html": "Newman Projections 2", "title": "Newman projections 2", "progress_key": "v2600614", "edit_slug": "edit/v/2600614", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newman Projections 2", "extra_properties": null, "node_slug": "v/newman-projections-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ryJvNEHcuDg.mp4/ryJvNEHcuDg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ryJvNEHcuDg.mp4/ryJvNEHcuDg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ryJvNEHcuDg.m3u8/ryJvNEHcuDg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ryJvNEHcuDg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600614", "sha": "4c07dfbc64d698606a901ba7b858bbf33fa9ded4", "translated_description": "Newman Projections 2", "image_url": "https://img.youtube.com/vi/ryJvNEHcuDg/hqdefault.jpg", "youtube_id": "ryJvNEHcuDg", "content_kind": "Video", "readable_id": "newman-projections-2"}, {"translated_youtube_id": "YUEkOBvJSNg", "relative_url": "/video/chair-and-boat-shapes-for-cyclohexane", "has_questions": false, "keywords": "Chair, and, Boat, Shapes, for, Cyclohexane", "ka_url": "http://www.khanacademy.org/video/chair-and-boat-shapes-for-cyclohexane", "duration": 749, "translated_title": "Chair and boat shapes for cyclohexane", "translated_description_html": "Chair and Boat Shapes for Cyclohexane", "id": "2600615", "description_html": "Chair and Boat Shapes for Cyclohexane", "title": "Chair and boat shapes for cyclohexane", "progress_key": "v2600615", "edit_slug": "edit/v/2600615", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Chair and Boat Shapes for Cyclohexane", "extra_properties": null, "node_slug": "v/chair-and-boat-shapes-for-cyclohexane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YUEkOBvJSNg.mp4/YUEkOBvJSNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YUEkOBvJSNg.mp4/YUEkOBvJSNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YUEkOBvJSNg.m3u8/YUEkOBvJSNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YUEkOBvJSNg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600615", "sha": "7919b95121faeb4888abdd07f1f0611777a5a527", "translated_description": "Chair and Boat Shapes for Cyclohexane", "image_url": "https://img.youtube.com/vi/YUEkOBvJSNg/hqdefault.jpg", "youtube_id": "YUEkOBvJSNg", "content_kind": "Video", "readable_id": "chair-and-boat-shapes-for-cyclohexane"}, {"translated_youtube_id": "I6LsWSXx8fg", "relative_url": "/video/double-newman-diagram-for-methcyclohexane", "has_questions": false, "keywords": "Double, Newman, Diagram, for, Methcyclohexane", "ka_url": "http://www.khanacademy.org/video/double-newman-diagram-for-methcyclohexane", "duration": 878, "translated_title": "Double Newman diagram for methcyclohexane", "translated_description_html": "Double Newman Diagram for Methcyclohexane", "id": "2600616", "description_html": "Double Newman Diagram for Methcyclohexane", "title": "Double Newman diagram for methcyclohexane", "progress_key": "v2600616", "edit_slug": "edit/v/2600616", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Double Newman Diagram for Methcyclohexane", "extra_properties": null, "node_slug": "v/double-newman-diagram-for-methcyclohexane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I6LsWSXx8fg.mp4/I6LsWSXx8fg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I6LsWSXx8fg.mp4/I6LsWSXx8fg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I6LsWSXx8fg.m3u8/I6LsWSXx8fg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I6LsWSXx8fg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600616", "sha": "1adfadd759687840d6caf4580bd182ffe30936f0", "translated_description": "Double Newman Diagram for Methcyclohexane", "image_url": "https://img.youtube.com/vi/I6LsWSXx8fg/hqdefault.jpg", "youtube_id": "I6LsWSXx8fg", "content_kind": "Video", "readable_id": "double-newman-diagram-for-methcyclohexane"}], "twitter_url": "", "translated_description": "In this tutorial, Sal draws Newman projections and also explains chair and boat conformations for cyclohexane.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal draws Newman projections and also explains chair and boat conformations for cyclohexane.", "x_pos": 0.0, "node_slug": "conformations", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axde2fbe5d", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations", "slug": "conformations", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "3afc5c1363b1b196717aeeead8eb399c9d21e1f9", "standalone_title": "Conformations", "y_pos": 0.0, "current_revision_key": "3afc5c1363b1b196717aeeead8eb399c9d21e1f9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic", "translated_standalone_title": "Naming alkanes, cycloalkanes, and bicyclic compounds", "translated_title": "Naming alkanes, cycloalkanes, and bicyclic compounds", "gplus_url": "", "id": "x5ba816e4", "old_key_name": "1QiGfAzAd-TVswYQRIPbvB7MMtniyDKODzX96x2c", "hide": false, "title": "Naming alkanes, cycloalkanes, and bicyclic compounds", "child_data": [{"kind": "Video", "id": 1258931482}, {"kind": "Video", "id": 1258818691}, {"kind": "Video", "id": 1258294932}, {"kind": "Video", "id": 1258870500}, {"kind": "Video", "id": 1259064484}], "children": [{"translated_youtube_id": "F8RCR_1jIAk", "relative_url": "/video/alkane-and-cycloalkane-nomenclature-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkane-and-cycloalkane-nomenclature-i", "duration": 761, "translated_title": "Alkane and cycloalkane nomenclature i", "translated_description_html": "", "id": "1258931482", "description_html": "", "title": "Alkane and cycloalkane nomenclature i", "progress_key": "v1258931482", "edit_slug": "edit/v/1258931482", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/alkane-and-cycloalkane-nomenclature-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:27:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.mp4/F8RCR_1jIAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.mp4/F8RCR_1jIAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.m3u8/F8RCR_1jIAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F8RCR_1jIAk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258931482", "sha": "417be9242833774122410e8a7c2f34a6a9db33a0", "translated_description": "", "image_url": "https://img.youtube.com/vi/F8RCR_1jIAk/hqdefault.jpg", "youtube_id": "F8RCR_1jIAk", "content_kind": "Video", "readable_id": "alkane-and-cycloalkane-nomenclature-i"}, {"translated_youtube_id": "9tEnXUuHkp4", "relative_url": "/video/alkane-and-cycloalkane-nomenclature-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkane-and-cycloalkane-nomenclature-ii", "duration": 760, "translated_title": "Alkane and cycloalkane nomenclature ii", "translated_description_html": "Correction: 2,2,6,6,7-pentamethyloctane is the correct name. I put a dash instead of a comma between the 6 and the 7 on the video.", "id": "1258818691", "description_html": "Correction: 2,2,6,6,7-pentamethyloctane is the correct name. I put a dash instead of a comma between the 6 and the 7 on the video.", "title": "Alkane and cycloalkane nomenclature ii", "progress_key": "v1258818691", "edit_slug": "edit/v/1258818691", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Correction: 2,2,6,6,7-pentamethyloctane is the correct name. I put a dash instead of a comma between the 6 and the 7 on the video.", "extra_properties": null, "node_slug": "v/alkane-and-cycloalkane-nomenclature-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:28:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.mp4/9tEnXUuHkp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.mp4/9tEnXUuHkp4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.m3u8/9tEnXUuHkp4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9tEnXUuHkp4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258818691", "sha": "f34fb2e6104e279c6367a75acba7cd7911103b75", "translated_description": "Correction: 2,2,6,6,7-pentamethyloctane is the correct name. I put a dash instead of a comma between the 6 and the 7 on the video.", "image_url": "https://img.youtube.com/vi/9tEnXUuHkp4/hqdefault.jpg", "youtube_id": "9tEnXUuHkp4", "content_kind": "Video", "readable_id": "alkane-and-cycloalkane-nomenclature-ii"}, {"translated_youtube_id": "joQd0qVnX4M", "relative_url": "/video/alkane-and-cycloalkane-nomenclature-iii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkane-and-cycloalkane-nomenclature-iii", "duration": 786, "translated_title": "Alkane and cycloalkane nomenclature iii", "translated_description_html": "", "id": "1258294932", "description_html": "", "title": "Alkane and cycloalkane nomenclature iii", "progress_key": "v1258294932", "edit_slug": "edit/v/1258294932", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/alkane-and-cycloalkane-nomenclature-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:29:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/joQd0qVnX4M.mp4/joQd0qVnX4M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/joQd0qVnX4M.mp4/joQd0qVnX4M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/joQd0qVnX4M.m3u8/joQd0qVnX4M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=joQd0qVnX4M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258294932", "sha": "754d974eceeadcae98167bf4b9f56d1a86a7002f", "translated_description": "", "image_url": "https://img.youtube.com/vi/joQd0qVnX4M/hqdefault.jpg", "youtube_id": "joQd0qVnX4M", "content_kind": "Video", "readable_id": "alkane-and-cycloalkane-nomenclature-iii"}, {"translated_youtube_id": "cM-SFbffb7k", "relative_url": "/video/bicyclic-compounds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bicyclic-compounds", "duration": 636, "translated_title": "Bicyclic compounds", "translated_description_html": "", "id": "1258870500", "description_html": "", "title": "Bicyclic compounds", "progress_key": "v1258870500", "edit_slug": "edit/v/1258870500", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/bicyclic-compounds", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:34:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cM-SFbffb7k.mp4/cM-SFbffb7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cM-SFbffb7k.mp4/cM-SFbffb7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cM-SFbffb7k.m3u8/cM-SFbffb7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cM-SFbffb7k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258870500", "sha": "833124fa00baaf5e104714835622b1bb7a984383", "translated_description": "", "image_url": "https://img.youtube.com/vi/cM-SFbffb7k/hqdefault.jpg", "youtube_id": "cM-SFbffb7k", "content_kind": "Video", "readable_id": "bicyclic-compounds"}, {"translated_youtube_id": "ayKHmN90ncc", "relative_url": "/video/naming-cubane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/naming-cubane", "duration": 344, "translated_title": "Naming cubane", "translated_description_html": "", "id": "1259064484", "description_html": "", "title": "Naming cubane", "progress_key": "v1259064484", "edit_slug": "edit/v/1259064484", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/naming-cubane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ayKHmN90ncc.mp4/ayKHmN90ncc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ayKHmN90ncc.mp4/ayKHmN90ncc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ayKHmN90ncc.m3u8/ayKHmN90ncc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ayKHmN90ncc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259064484", "sha": "263dc6457a141a20dde7e1e2ff14b54e6e83cdb9", "translated_description": "", "image_url": "https://img.youtube.com/vi/ayKHmN90ncc/hqdefault.jpg", "youtube_id": "ayKHmN90ncc", "content_kind": "Video", "readable_id": "naming-cubane"}], "twitter_url": "", "translated_description": "Do you speak the language of organic chemistry? In this tutorial, Jay shows you how to be fluent in naming alkanes, cycloalkanes, and bicyclic compounds.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do you speak the language of organic chemistry? In this tutorial, Jay shows you how to be fluent in naming alkanes, cycloalkanes, and bicyclic compounds.", "x_pos": 0.0, "node_slug": "naming-alkanes-cycloalkanes-bicyclic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ba816e4", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic", "slug": "naming-alkanes-cycloalkanes-bicyclic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "48bf88ab8b5b212a6b39bed1a9e4864c36267df2", "standalone_title": "Naming alkanes, cycloalkanes, and bicyclic compounds", "y_pos": 0.0, "current_revision_key": "48bf88ab8b5b212a6b39bed1a9e4864c36267df2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes", "translated_standalone_title": "Conformations of alkanes and cycloalkanes", "translated_title": "Conformations of alkanes and cycloalkanes", "gplus_url": "", "id": "x31eded36", "old_key_name": "IrjM-bxYoFEX4LFWQSR-JJ3ZD4HMeW6OZHovbYvt", "hide": false, "title": "Conformations of alkanes and cycloalkanes", "child_data": [{"kind": "Video", "id": 1257602996}, {"kind": "Video", "id": 1257869960}, {"kind": "Video", "id": 1258914527}, {"kind": "Video", "id": 1258935919}, {"kind": "Video", "id": 1258845922}, {"kind": "Video", "id": 1258870496}], "children": [{"translated_youtube_id": "_PmuqxHuk3o", "relative_url": "/video/conformations-of-ethane-and-propane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-ethane-and-propane", "duration": 836, "translated_title": "Conformations of ethane and propane", "translated_description_html": "", "id": "1257602996", "description_html": "", "title": "Conformations of ethane and propane", "progress_key": "v1257602996", "edit_slug": "edit/v/1257602996", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/conformations-of-ethane-and-propane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:29:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_PmuqxHuk3o.mp4/_PmuqxHuk3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_PmuqxHuk3o.mp4/_PmuqxHuk3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_PmuqxHuk3o.m3u8/_PmuqxHuk3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_PmuqxHuk3o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1257602996", "sha": "9e4680d7b6b30440a0ee019afa309f1a5bccda38", "translated_description": "", "image_url": "https://img.youtube.com/vi/_PmuqxHuk3o/hqdefault.jpg", "youtube_id": "_PmuqxHuk3o", "content_kind": "Video", "readable_id": "conformations-of-ethane-and-propane"}, {"translated_youtube_id": "D__4BV3Mwhw", "relative_url": "/video/conformations-of-butane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-butane", "duration": 832, "translated_title": "Conformations of butane", "translated_description_html": "", "id": "1257869960", "description_html": "", "title": "Conformations of butane", "progress_key": "v1257869960", "edit_slug": "edit/v/1257869960", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/conformations-of-butane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:30:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D__4BV3Mwhw.mp4/D__4BV3Mwhw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D__4BV3Mwhw.mp4/D__4BV3Mwhw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D__4BV3Mwhw.m3u8/D__4BV3Mwhw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D__4BV3Mwhw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1257869960", "sha": "65ab45a1754b719eeb743245e97577e6423fbe5c", "translated_description": "", "image_url": "https://img.youtube.com/vi/D__4BV3Mwhw/hqdefault.jpg", "youtube_id": "D__4BV3Mwhw", "content_kind": "Video", "readable_id": "conformations-of-butane"}, {"translated_youtube_id": "HuX62L3_7jo", "relative_url": "/video/conformations-of-cyclohexane-i--chair-and-boat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-cyclohexane-i--chair-and-boat", "duration": 642, "translated_title": "Conformations of cyclohexane I: Chair and boat", "translated_description_html": "", "id": "1258914527", "description_html": "", "title": "Conformations of cyclohexane I: Chair and boat", "progress_key": "v1258914527", "edit_slug": "edit/v/1258914527", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/conformations-of-cyclohexane-i--chair-and-boat", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HuX62L3_7jo.mp4/HuX62L3_7jo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HuX62L3_7jo.mp4/HuX62L3_7jo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HuX62L3_7jo.m3u8/HuX62L3_7jo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HuX62L3_7jo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258914527", "sha": "3c6d39b4c01a2cd7528ece697bb38e96e6f5ff3d", "translated_description": "", "image_url": "https://img.youtube.com/vi/HuX62L3_7jo/hqdefault.jpg", "youtube_id": "HuX62L3_7jo", "content_kind": "Video", "readable_id": "conformations-of-cyclohexane-i--chair-and-boat"}, {"translated_youtube_id": "DdLDu5BCgck", "relative_url": "/video/conformations-of-cyclohexane-ii--monosubstituted", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-cyclohexane-ii--monosubstituted", "duration": 687, "translated_title": "Conformations of cyclohexane II: Monosubstituted", "translated_description_html": "For a link to a virtual molecular model set:\n\nhttp://www.chem.fsu.edu/schwartz/organic_links.html", "id": "1258935919", "description_html": "For a link to a virtual molecular model set:\n\nhttp://www.chem.fsu.edu/schwartz/organic_links.html", "title": "Conformations of cyclohexane II: Monosubstituted", "progress_key": "v1258935919", "edit_slug": "edit/v/1258935919", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "For a link to a virtual molecular model set:\n\nhttp://www.chem.fsu.edu/schwartz/organic_links.html", "extra_properties": null, "node_slug": "v/conformations-of-cyclohexane-ii--monosubstituted", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:32:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.mp4/DdLDu5BCgck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.mp4/DdLDu5BCgck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.m3u8/DdLDu5BCgck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DdLDu5BCgck&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258935919", "sha": "96d60d1bc2b0bee1231f6d224592366fcdc08123", "translated_description": "For a link to a virtual molecular model set:\n\nhttp://www.chem.fsu.edu/schwartz/organic_links.html", "image_url": "https://img.youtube.com/vi/DdLDu5BCgck/hqdefault.jpg", "youtube_id": "DdLDu5BCgck", "content_kind": "Video", "readable_id": "conformations-of-cyclohexane-ii--monosubstituted"}, {"translated_youtube_id": "lY15PASM_w8", "relative_url": "/video/conformations-of-cyclohexane-iii--disubstituted", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-cyclohexane-iii--disubstituted", "duration": 797, "translated_title": "Conformations of cyclohexane III: Disubstituted", "translated_description_html": "", "id": "1258845922", "description_html": "", "title": "Conformations of cyclohexane III: Disubstituted", "progress_key": "v1258845922", "edit_slug": "edit/v/1258845922", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/conformations-of-cyclohexane-iii--disubstituted", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:32:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lY15PASM_w8.mp4/lY15PASM_w8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lY15PASM_w8.mp4/lY15PASM_w8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lY15PASM_w8.m3u8/lY15PASM_w8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lY15PASM_w8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258845922", "sha": "6b5541cb4c67ae19f722f48f3a61d762cb648494", "translated_description": "", "image_url": "https://img.youtube.com/vi/lY15PASM_w8/hqdefault.jpg", "youtube_id": "lY15PASM_w8", "content_kind": "Video", "readable_id": "conformations-of-cyclohexane-iii--disubstituted"}, {"translated_youtube_id": "KlagRKn1bgw", "relative_url": "/video/conformations-of-cyclohexane-iv--trisubstituted", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-cyclohexane-iv--trisubstituted", "duration": 668, "translated_title": "Conformations of cyclohexane IV: Trisubstituted", "translated_description_html": "", "id": "1258870496", "description_html": "", "title": "Conformations of cyclohexane IV: Trisubstituted", "progress_key": "v1258870496", "edit_slug": "edit/v/1258870496", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/conformations-of-cyclohexane-iv--trisubstituted", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:33:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KlagRKn1bgw.mp4/KlagRKn1bgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KlagRKn1bgw.mp4/KlagRKn1bgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KlagRKn1bgw.m3u8/KlagRKn1bgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KlagRKn1bgw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258870496", "sha": "62a937f57c18201f6de495ef2cd46a3a7cc2020f", "translated_description": "", "image_url": "https://img.youtube.com/vi/KlagRKn1bgw/hqdefault.jpg", "youtube_id": "KlagRKn1bgw", "content_kind": "Video", "readable_id": "conformations-of-cyclohexane-iv--trisubstituted"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows the different conformations of straight chain alkanes and cyclohexane.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows the different conformations of straight chain alkanes and cyclohexane.", "x_pos": 0.0, "node_slug": "conformations-alkanes-cycloalkanes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax31eded36", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes", "slug": "conformations-alkanes-cycloalkanes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1d4f4517f011cd65eb04018513bbb2eb483da41a", "standalone_title": "Conformations of alkanes and cycloalkanes", "y_pos": 0.0, "current_revision_key": "1d4f4517f011cd65eb04018513bbb2eb483da41a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes", "translated_standalone_title": "Free radical reaction", "translated_title": "Free radical reaction", "gplus_url": "", "id": "x09c75f63", "old_key_name": "NBaS3wYpZ3mMZsUYEVAc14ZWfuxeq5WgSpGwte3I", "hide": false, "title": "Free radical reaction", "child_data": [{"kind": "Video", "id": 62}], "children": [{"translated_youtube_id": "5HgzsltWwK8", "relative_url": "/video/free-radical-reactions", "has_questions": false, "keywords": "Free, Radical, Reactions, organic, chemistry", "ka_url": "http://www.khanacademy.org/video/free-radical-reactions", "duration": 825, "translated_title": "Free radical reactions", "translated_description_html": "Free Radical Reactions", "id": "62", "description_html": "Free Radical Reactions", "title": "Free radical reactions", "progress_key": "v62", "edit_slug": "edit/v/62", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Free Radical Reactions", "extra_properties": null, "node_slug": "v/free-radical-reactions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5HgzsltWwK8.mp4/5HgzsltWwK8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5HgzsltWwK8.mp4/5HgzsltWwK8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5HgzsltWwK8.m3u8/5HgzsltWwK8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5HgzsltWwK8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v62", "sha": "79e50f88ea2301e7aeb16e71fc281169ca6e2600", "translated_description": "Free Radical Reactions", "image_url": "https://img.youtube.com/vi/5HgzsltWwK8/hqdefault.jpg", "youtube_id": "5HgzsltWwK8", "content_kind": "Video", "readable_id": "free-radical-reactions"}], "twitter_url": "", "translated_description": "In this tutorial, Sal introduces free radical reactions by showing the reaction of methane with chlorine.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal introduces free radical reactions by showing the reaction of methane with chlorine.", "x_pos": 0.0, "node_slug": "free-radical-reaction-alkanes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax09c75f63", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes", "slug": "free-radical-reaction-alkanes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "cf2900fc769656b286b4fb7887a96c6a3200931b", "standalone_title": "Free radical reaction", "y_pos": 0.0, "current_revision_key": "cf2900fc769656b286b4fb7887a96c6a3200931b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "naming alkanes and cycloalkanes, conformations of alkanes and cycloalkanes, and free radical reactions", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "naming alkanes and cycloalkanes, conformations of alkanes and cycloalkanes, and free radical reactions", "x_pos": 0.0, "node_slug": "bond-line-structures-alkanes-cycloalkanes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax84cadce3", "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes", "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes", "slug": "bond-line-structures-alkanes-cycloalkanes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "31a099aeddf24b13bce7475531522706d27e0e66", "standalone_title": "Alkanes and cycloalkanes", "y_pos": 0.0, "current_revision_key": "31a099aeddf24b13bce7475531522706d27e0e66", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic", "translated_standalone_title": "Stereochemistry", "translated_title": "Stereochemistry", "gplus_url": "", "id": "xf2909c8a", "old_key_name": "nG3uux58zh62EhAgkWEDGXorWcsfWzAn_H0ME2B0", "hide": false, "title": "Stereochemistry", "child_data": [{"kind": "Topic", "id": "x4bf8c782"}, {"kind": "Topic", "id": "x5ac806f0"}, {"kind": "Topic", "id": "x65cd8a43"}, {"kind": "Topic", "id": "x4f5d2bbd"}, {"kind": "Topic", "id": "xb253da38"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system", "translated_standalone_title": "Chirality and the R,S system", "translated_title": "Chirality and the R,S system", "gplus_url": "", "id": "x4bf8c782", "old_key_name": "iShgwICvgxTBkEk78YOfmDsWNSyD5youuLjCI3Dj", "hide": false, "title": "Chirality and the R,S system", "child_data": [{"kind": "Video", "id": 2600617}, {"kind": "Video", "id": 2600618}, {"kind": "Video", "id": 2600619}, {"kind": "Video", "id": 2600620}, {"kind": "Video", "id": 2600621}], "children": [{"translated_youtube_id": "tk-SNvCPLCE", "relative_url": "/video/introduction-to-chirality", "has_questions": false, "keywords": "Introduction, to, Chirality", "ka_url": "http://www.khanacademy.org/video/introduction-to-chirality", "duration": 406, "translated_title": "Introduction to chirality", "translated_description_html": "Introduction to Chirality", "id": "2600617", "description_html": "Introduction to Chirality", "title": "Introduction to chirality", "progress_key": "v2600617", "edit_slug": "edit/v/2600617", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Chirality", "extra_properties": null, "node_slug": "v/introduction-to-chirality", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tk-SNvCPLCE.mp4/tk-SNvCPLCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tk-SNvCPLCE.mp4/tk-SNvCPLCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tk-SNvCPLCE.m3u8/tk-SNvCPLCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tk-SNvCPLCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600617", "sha": "67391fd717702de5918be5caad92638af8b82555", "translated_description": "Introduction to Chirality", "image_url": "https://img.youtube.com/vi/tk-SNvCPLCE/hqdefault.jpg", "youtube_id": "tk-SNvCPLCE", "content_kind": "Video", "readable_id": "introduction-to-chirality"}, {"translated_youtube_id": "0XSSPow5oAc", "relative_url": "/video/chiral-examples-1", "has_questions": false, "keywords": "Chiral, Examples", "ka_url": "http://www.khanacademy.org/video/chiral-examples-1", "duration": 662, "translated_title": "Chiral examples 1", "translated_description_html": "Chiral Examples 1", "id": "2600618", "description_html": "Chiral Examples 1", "title": "Chiral examples 1", "progress_key": "v2600618", "edit_slug": "edit/v/2600618", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Chiral Examples 1", "extra_properties": null, "node_slug": "v/chiral-examples-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0XSSPow5oAc.mp4/0XSSPow5oAc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0XSSPow5oAc.mp4/0XSSPow5oAc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0XSSPow5oAc.m3u8/0XSSPow5oAc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0XSSPow5oAc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600618", "sha": "05e7ed2b77ddc510335e0e8c6b5bbda35f039361", "translated_description": "Chiral Examples 1", "image_url": "https://img.youtube.com/vi/0XSSPow5oAc/hqdefault.jpg", "youtube_id": "0XSSPow5oAc", "content_kind": "Video", "readable_id": "chiral-examples-1"}, {"translated_youtube_id": "QQMZ1ljepWg", "relative_url": "/video/chiral-examples-2", "has_questions": false, "keywords": "Chiral, Examples", "ka_url": "http://www.khanacademy.org/video/chiral-examples-2", "duration": 619, "translated_title": "Chiral examples 2", "translated_description_html": "Chiral Examples 2", "id": "2600619", "description_html": "Chiral Examples 2", "title": "Chiral examples 2", "progress_key": "v2600619", "edit_slug": "edit/v/2600619", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Chiral Examples 2", "extra_properties": null, "node_slug": "v/chiral-examples-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QQMZ1ljepWg.mp4/QQMZ1ljepWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QQMZ1ljepWg.mp4/QQMZ1ljepWg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QQMZ1ljepWg.m3u8/QQMZ1ljepWg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QQMZ1ljepWg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600619", "sha": "960d5b7e0c09d3a1104c8814d8414c3a31568aa3", "translated_description": "Chiral Examples 2", "image_url": "https://img.youtube.com/vi/QQMZ1ljepWg/hqdefault.jpg", "youtube_id": "QQMZ1ljepWg", "content_kind": "Video", "readable_id": "chiral-examples-2"}, {"translated_youtube_id": "DfO27juYly8", "relative_url": "/video/cahn-ingold-prelog-system-for-naming-enantiomers", "has_questions": false, "keywords": "Cahn-Ingold-Prelog, System, for, Naming, Enantiomers", "ka_url": "http://www.khanacademy.org/video/cahn-ingold-prelog-system-for-naming-enantiomers", "duration": 662, "translated_title": "Cahn-Ingold-Prelog system for naming enantiomers", "translated_description_html": "Cahn-Ingold-Prelog System for Naming Enantiomers", "id": "2600620", "description_html": "Cahn-Ingold-Prelog System for Naming Enantiomers", "title": "Cahn-Ingold-Prelog system for naming enantiomers", "progress_key": "v2600620", "edit_slug": "edit/v/2600620", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Cahn-Ingold-Prelog System for Naming Enantiomers", "extra_properties": null, "node_slug": "v/cahn-ingold-prelog-system-for-naming-enantiomers", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DfO27juYly8.mp4/DfO27juYly8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DfO27juYly8.mp4/DfO27juYly8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DfO27juYly8.m3u8/DfO27juYly8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DfO27juYly8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600620", "sha": "1560550272ca135af860553a6f7cd00ff0d6b2c0", "translated_description": "Cahn-Ingold-Prelog System for Naming Enantiomers", "image_url": "https://img.youtube.com/vi/DfO27juYly8/hqdefault.jpg", "youtube_id": "DfO27juYly8", "content_kind": "Video", "readable_id": "cahn-ingold-prelog-system-for-naming-enantiomers"}, {"translated_youtube_id": "peQsBg9P4ms", "relative_url": "/video/r-s--cahn-ingold-prelog--naming-system-example-2", "has_questions": false, "keywords": "R, S Cahn Ingold Prelog Naming System Example 2", "ka_url": "http://www.khanacademy.org/video/r-s--cahn-ingold-prelog--naming-system-example-2", "duration": 668, "translated_title": "R,S (Cahn-Ingold-Prelog) naming system example 2", "translated_description_html": "R,S (Cahn-Ingold-Prelog) Naming System Example 2", "id": "2600621", "description_html": "R,S (Cahn-Ingold-Prelog) Naming System Example 2", "title": "R,S (Cahn-Ingold-Prelog) naming system example 2", "progress_key": "v2600621", "edit_slug": "edit/v/2600621", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "R,S (Cahn-Ingold-Prelog) Naming System Example 2", "extra_properties": null, "node_slug": "v/r-s--cahn-ingold-prelog--naming-system-example-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/peQsBg9P4ms.mp4/peQsBg9P4ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/peQsBg9P4ms.mp4/peQsBg9P4ms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/peQsBg9P4ms.m3u8/peQsBg9P4ms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=peQsBg9P4ms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600621", "sha": "29bb7c5e7c756b4b04adaf6ef3a2f2752722ac9f", "translated_description": "R,S (Cahn-Ingold-Prelog) Naming System Example 2", "image_url": "https://img.youtube.com/vi/peQsBg9P4ms/hqdefault.jpg", "youtube_id": "peQsBg9P4ms", "content_kind": "Video", "readable_id": "r-s--cahn-ingold-prelog--naming-system-example-2"}], "twitter_url": "", "translated_description": "Are you right handed or sinister-handed? Have you ever thought that you might not be as attractive as you look in the mirror? Welcome to the world of chirality.\n\nIn this tutorial, Sal explores molecules that have the same composition and bonding, but are fundamentally different because they are mirror images of each other (kind of like Tomax and Xamot--the Crimson Guard Commanders from GI Joe).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Are you right handed or sinister-handed? Have you ever thought that you might not be as attractive as you look in the mirror? Welcome to the world of chirality.\n\nIn this tutorial, Sal explores molecules that have the same composition and bonding, but are fundamentally different because they are mirror images of each other (kind of like Tomax and Xamot--the Crimson Guard Commanders from GI Joe).", "x_pos": 0.0, "node_slug": "chirality-r-s-system", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4bf8c782", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system", "extended_slug": "science/organic-chemistry/stereochemistry-topic/chirality-r-s-system", "slug": "chirality-r-s-system", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0185f6c104975be33b0c9cb5475e491bfb294047", "standalone_title": "Chirality and the R,S system", "y_pos": 0.0, "current_revision_key": "0185f6c104975be33b0c9cb5475e491bfb294047", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration", "translated_standalone_title": "Chirality and absolute configuration", "translated_title": "Chirality and absolute configuration", "gplus_url": "", "id": "x5ac806f0", "old_key_name": "2zn3SXST5K8SzHPtxq1jacyLYs-EQoSSxyklThYd", "hide": false, "title": "Chirality and absolute configuration", "child_data": [{"kind": "Video", "id": 1258926418}, {"kind": "Video", "id": 1258871800}, {"kind": "Video", "id": 1258906774}], "children": [{"translated_youtube_id": "ICvPJPqAdhc", "relative_url": "/video/chirality-centers-and-stereoisomers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chirality-centers-and-stereoisomers", "duration": 760, "translated_title": "Chirality centers and stereoisomers", "translated_description_html": "", "id": "1258926418", "description_html": "", "title": "Chirality centers and stereoisomers", "progress_key": "v1258926418", "edit_slug": "edit/v/1258926418", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/chirality-centers-and-stereoisomers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:34:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.mp4/ICvPJPqAdhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.mp4/ICvPJPqAdhc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.m3u8/ICvPJPqAdhc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ICvPJPqAdhc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258926418", "sha": "4e61b9e593a733ce3c6508934401ce0ded105aa6", "translated_description": "", "image_url": "https://img.youtube.com/vi/ICvPJPqAdhc/hqdefault.jpg", "youtube_id": "ICvPJPqAdhc", "content_kind": "Video", "readable_id": "chirality-centers-and-stereoisomers"}, {"translated_youtube_id": "o0Cu6yktMy8", "relative_url": "/video/r-s-system-for-determining-absolute-configuration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/r-s-system-for-determining-absolute-configuration", "duration": 647, "translated_title": "R,S system for determining absolute configuration", "translated_description_html": "", "id": "1258871800", "description_html": "", "title": "R,S system for determining absolute configuration", "progress_key": "v1258871800", "edit_slug": "edit/v/1258871800", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/r-s-system-for-determining-absolute-configuration", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:35:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o0Cu6yktMy8.mp4/o0Cu6yktMy8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o0Cu6yktMy8.mp4/o0Cu6yktMy8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o0Cu6yktMy8.m3u8/o0Cu6yktMy8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o0Cu6yktMy8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258871800", "sha": "e9faa6601fadc4daf6197137eb3551aa4f058e44", "translated_description": "", "image_url": "https://img.youtube.com/vi/o0Cu6yktMy8/hqdefault.jpg", "youtube_id": "o0Cu6yktMy8", "content_kind": "Video", "readable_id": "r-s-system-for-determining-absolute-configuration"}, {"translated_youtube_id": "ygDkZqKOZWU", "relative_url": "/video/r-s-system-for-cyclic-compounds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/r-s-system-for-cyclic-compounds", "duration": 741, "translated_title": "R,S system for cyclic compounds", "translated_description_html": "", "id": "1258906774", "description_html": "", "title": "R,S system for cyclic compounds", "progress_key": "v1258906774", "edit_slug": "edit/v/1258906774", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/r-s-system-for-cyclic-compounds", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:36:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.mp4/ygDkZqKOZWU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.mp4/ygDkZqKOZWU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.m3u8/ygDkZqKOZWU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ygDkZqKOZWU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258906774", "sha": "59d6c6e5b9c38a76d52c4da21ea16daab46442bc", "translated_description": "", "image_url": "https://img.youtube.com/vi/ygDkZqKOZWU/hqdefault.jpg", "youtube_id": "ygDkZqKOZWU", "content_kind": "Video", "readable_id": "r-s-system-for-cyclic-compounds"}], "twitter_url": "", "translated_description": "Mirror, mirror on the wall . . . who is the fairest stereoisomer of all? In this tutorial, Jay explains chirality and how to determine the absolute configuration at a chirality center.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Mirror, mirror on the wall . . . who is the fairest stereoisomer of all? In this tutorial, Jay explains chirality and how to determine the absolute configuration at a chirality center.", "x_pos": 0.0, "node_slug": "chirality-absolute-configuration", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ac806f0", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration", "extended_slug": "science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration", "slug": "chirality-absolute-configuration", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4f277a5e0009a68d3f336575fec637296ab93ef6", "standalone_title": "Chirality and absolute configuration", "y_pos": 0.0, "current_revision_key": "4f277a5e0009a68d3f336575fec637296ab93ef6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic/optical-activity", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity", "translated_standalone_title": "Optical activity", "translated_title": "Optical activity", "gplus_url": "", "id": "x65cd8a43", "old_key_name": "F6c_VhTaxDMwK8xs-Gkc-TxsRZ_r314rkriamleJ", "hide": false, "title": "Optical activity", "child_data": [{"kind": "Video", "id": 1258898683}, {"kind": "Video", "id": 1258528711}], "children": [{"translated_youtube_id": "tkzi8etP7no", "relative_url": "/video/optical-activity-i--theory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optical-activity-i--theory", "duration": 803, "translated_title": "Optical activity I: Theory", "translated_description_html": "Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.", "id": "1258898683", "description_html": "Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.", "title": "Optical activity I: Theory", "progress_key": "v1258898683", "edit_slug": "edit/v/1258898683", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.", "extra_properties": null, "node_slug": "v/optical-activity-i--theory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:37:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.mp4/tkzi8etP7no.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.mp4/tkzi8etP7no.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.m3u8/tkzi8etP7no.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tkzi8etP7no&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258898683", "sha": "d251bd84d93c37be5ab364dc28be0b215558135a", "translated_description": "Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.", "image_url": "https://img.youtube.com/vi/tkzi8etP7no/hqdefault.jpg", "youtube_id": "tkzi8etP7no", "content_kind": "Video", "readable_id": "optical-activity-i--theory"}, {"translated_youtube_id": "8bXRar4YiYA", "relative_url": "/video/optical-activity-ii--calculations", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optical-activity-ii--calculations", "duration": 405, "translated_title": "Optical activity II: Calculations", "translated_description_html": "", "id": "1258528711", "description_html": "", "title": "Optical activity II: Calculations", "progress_key": "v1258528711", "edit_slug": "edit/v/1258528711", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/optical-activity-ii--calculations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:38:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8bXRar4YiYA.mp4/8bXRar4YiYA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8bXRar4YiYA.mp4/8bXRar4YiYA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8bXRar4YiYA.m3u8/8bXRar4YiYA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8bXRar4YiYA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258528711", "sha": "3fd939d53de6f2ddccc9d58660c05b9e3a807cd8", "translated_description": "", "image_url": "https://img.youtube.com/vi/8bXRar4YiYA/hqdefault.jpg", "youtube_id": "8bXRar4YiYA", "content_kind": "Video", "readable_id": "optical-activity-ii--calculations"}], "twitter_url": "", "translated_description": "In this tutorial, Jay explains the concept of optical activity and demonstrates how to calculate specific rotation and enantiomeric excess.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay explains the concept of optical activity and demonstrates how to calculate specific rotation and enantiomeric excess.", "x_pos": 0.0, "node_slug": "optical-activity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax65cd8a43", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/optical-activity", "extended_slug": "science/organic-chemistry/stereochemistry-topic/optical-activity", "slug": "optical-activity", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5beab4f6c1a1d6c6f40bad65d26bd61bccee583d", "standalone_title": "Optical activity", "y_pos": 0.0, "current_revision_key": "5beab4f6c1a1d6c6f40bad65d26bd61bccee583d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds", "translated_standalone_title": "Diastereomers and meso compounds", "translated_title": "Diastereomers and meso compounds", "gplus_url": "", "id": "x4f5d2bbd", "old_key_name": "vz8I86iWqsQo7d9ev-5yoDdQqn2r1_I7VJQun5aH", "hide": false, "title": "Diastereomers and meso compounds", "child_data": [{"kind": "Video", "id": 2600622}, {"kind": "Video", "id": 1258787579}, {"kind": "Video", "id": "x0d30a4cc"}], "children": [{"translated_youtube_id": "457xnJv80O0", "relative_url": "/video/stereoisomers--enantiomers--diastereomers--constitutional-isomers-and-meso-compounds", "has_questions": false, "keywords": "Stereoisomers, Enantiomers, Diastereomers", "ka_url": "http://www.khanacademy.org/video/stereoisomers--enantiomers--diastereomers--constitutional-isomers-and-meso-compounds", "duration": 816, "translated_title": "Stereoisomers, enantiomers, diastereomers, constitutional isomers and meso compounds", "translated_description_html": "Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds", "id": "2600622", "description_html": "Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds", "title": "Stereoisomers, enantiomers, diastereomers, constitutional isomers and meso compounds", "progress_key": "v2600622", "edit_slug": "edit/v/2600622", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds", "extra_properties": null, "node_slug": "v/stereoisomers--enantiomers--diastereomers--constitutional-isomers-and-meso-compounds", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/457xnJv80O0.mp4/457xnJv80O0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/457xnJv80O0.mp4/457xnJv80O0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/457xnJv80O0.m3u8/457xnJv80O0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=457xnJv80O0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600622", "sha": "a65f44ea538b8244b14c158cabba21926c03cc5f", "translated_description": "Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds", "image_url": "https://img.youtube.com/vi/457xnJv80O0/hqdefault.jpg", "youtube_id": "457xnJv80O0", "content_kind": "Video", "readable_id": "stereoisomers--enantiomers--diastereomers--constitutional-isomers-and-meso-compounds"}, {"translated_youtube_id": "NCye1rnnh6g", "relative_url": "/video/diastereomers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diastereomers", "duration": 554, "translated_title": "Diastereomers", "translated_description_html": "", "id": "1258787579", "description_html": "", "title": "Diastereomers", "progress_key": "v1258787579", "edit_slug": "edit/v/1258787579", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/diastereomers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:38:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.mp4/NCye1rnnh6g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.mp4/NCye1rnnh6g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.m3u8/NCye1rnnh6g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NCye1rnnh6g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258787579", "sha": "7670526b2b8e1bb757866aac786af7515e41c98b", "translated_description": "", "image_url": "https://img.youtube.com/vi/NCye1rnnh6g/hqdefault.jpg", "youtube_id": "NCye1rnnh6g", "content_kind": "Video", "readable_id": "diastereomers"}, {"translated_youtube_id": "aX_7X_P6rEM", "relative_url": "/video/meso-compounds-final", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/meso-compounds-final", "duration": 680, "translated_title": "Meso compounds", "translated_description_html": "", "id": "x0d30a4cc", "description_html": "", "title": "Meso compounds", "progress_key": "vx0d30a4cc", "edit_slug": "edit/v/x0d30a4cc", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/meso-compounds-final", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-09T14:36:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aX_7X_P6rEM.mp4/aX_7X_P6rEM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aX_7X_P6rEM.mp4/aX_7X_P6rEM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aX_7X_P6rEM.m3u8/aX_7X_P6rEM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aX_7X_P6rEM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0d30a4cc", "sha": "a17bd3aee8b78da22509d11608561881b37dc511", "translated_description": "", "image_url": "https://img.youtube.com/vi/aX_7X_P6rEM/hqdefault.jpg", "youtube_id": "aX_7X_P6rEM", "content_kind": "Video", "readable_id": "meso-compounds-final"}], "twitter_url": "", "translated_description": "In this tutorial, Sal and Jay define stereoisomers, diastereomers, and meso compounds.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal and Jay define stereoisomers, diastereomers, and meso compounds.", "x_pos": 0.0, "node_slug": "diastereomers-meso-compounds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4f5d2bbd", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds", "extended_slug": "science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds", "slug": "diastereomers-meso-compounds", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "011fee4fd95324f86574b1b4b404fb87827bb5c0", "standalone_title": "Diastereomers and meso compounds", "y_pos": 0.0, "current_revision_key": "011fee4fd95324f86574b1b4b404fb87827bb5c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/stereochemistry-topic/fischer-projections", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/fischer-projections", "translated_standalone_title": "Fischer projections", "translated_title": "Fischer projections", "gplus_url": "", "id": "xb253da38", "old_key_name": "SkmVk0nrhL40ocTtY7i-GJg7FTU_2DnM_bHRIK8l", "hide": false, "title": "Fischer projections", "child_data": [{"kind": "Video", "id": 1258919438}], "children": [{"translated_youtube_id": "1X1Tf46ftFc", "relative_url": "/video/fischer-projections", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fischer-projections", "duration": 832, "translated_title": "Fischer projections", "translated_description_html": "", "id": "1258919438", "description_html": "", "title": "Fischer projections", "progress_key": "v1258919438", "edit_slug": "edit/v/1258919438", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/fischer-projections", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:40:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1X1Tf46ftFc.mp4/1X1Tf46ftFc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1X1Tf46ftFc.mp4/1X1Tf46ftFc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1X1Tf46ftFc.m3u8/1X1Tf46ftFc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1X1Tf46ftFc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258919438", "sha": "db1bcc6e331aad579d93ae10bda91ae5ead095d6", "translated_description": "", "image_url": "https://img.youtube.com/vi/1X1Tf46ftFc/hqdefault.jpg", "youtube_id": "1X1Tf46ftFc", "content_kind": "Video", "readable_id": "fischer-projections"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows how to draw a fischer projection and how to assign an absolute configuration to a chirality center in a fischer projection.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows how to draw a fischer projection and how to assign an absolute configuration to a chirality center in a fischer projection.", "x_pos": 0.0, "node_slug": "fischer-projections", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb253da38", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/fischer-projections", "extended_slug": "science/organic-chemistry/stereochemistry-topic/fischer-projections", "slug": "fischer-projections", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6dd710c2945f4b3cf81b428d0aaa1af68fe5446d", "standalone_title": "Fischer projections", "y_pos": 0.0, "current_revision_key": "6dd710c2945f4b3cf81b428d0aaa1af68fe5446d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "chirality, stereoisomers, assigning absolute configuration using the R,S system, optical activity, diastereomers, meso compounds, fischer projections", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "chirality, stereoisomers, assigning absolute configuration using the R,S system, optical activity, diastereomers, meso compounds, fischer projections", "x_pos": 0.0, "node_slug": "stereochemistry-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf2909c8a", "topic_page_url": "/science/organic-chemistry/stereochemistry-topic", "extended_slug": "science/organic-chemistry/stereochemistry-topic", "slug": "stereochemistry-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3a3f4853ff00968a1fed69116455cef6697e3a29", "standalone_title": "Stereochemistry", "y_pos": 0.0, "current_revision_key": "3a3f4853ff00968a1fed69116455cef6697e3a29", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/substitution-elimination-reactions", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions", "translated_standalone_title": "Substitution and elimination reactions", "translated_title": "Substitution and elimination reactions", "gplus_url": "", "id": "x00b805dc", "old_key_name": "hzfVeb-7R-xYOeF-qTek6TnsX89SXTHeGE89IunG", "hide": false, "title": "Substitution and elimination reactions", "child_data": [{"kind": "Topic", "id": "xe4e2ca9a"}, {"kind": "Topic", "id": "x5c937415"}, {"kind": "Topic", "id": "x6724bc30"}, {"kind": "Topic", "id": "xfc5290e2"}, {"kind": "Topic", "id": "x1ab71ea9"}, {"kind": "Topic", "id": "x9e5c7240"}, {"kind": "Topic", "id": "x8a19f4ad"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal", "translated_standalone_title": "SN1 vs SN2", "translated_title": "Sn1 vs Sn2", "gplus_url": "", "id": "xe4e2ca9a", "old_key_name": null, "hide": false, "title": "Sn1 vs Sn2", "child_data": [{"kind": "Video", "id": 2600610}, {"kind": "Video", "id": 4802248}, {"kind": "Video", "id": 4802249}, {"kind": "Video", "id": 1377090052}, {"kind": "Video", "id": 4802252}, {"kind": "Video", "id": "x422b414a"}], "children": [{"translated_youtube_id": "jiJdNWzETSk", "relative_url": "/video/naming-alkyl-halides", "has_questions": false, "keywords": "Naming, Alkyl, Halides", "ka_url": "http://www.khanacademy.org/video/naming-alkyl-halides", "duration": 543, "translated_title": "Naming alkyl halides", "translated_description_html": "Naming Alkyl Halides", "id": "2600610", "description_html": "Naming Alkyl Halides", "title": "Naming alkyl halides", "progress_key": "v2600610", "edit_slug": "edit/v/2600610", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "Naming Alkyl Halides", "extra_properties": null, "node_slug": "v/naming-alkyl-halides", "deleted": false, "backup_timestamp": "2013-11-25T20:31:04Z", "date_added": "2013-11-25T20:31:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jiJdNWzETSk.mp4/jiJdNWzETSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jiJdNWzETSk.mp4/jiJdNWzETSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jiJdNWzETSk.m3u8/jiJdNWzETSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jiJdNWzETSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600610", "sha": "7cb96a3f00c8142a3903db56295b9dbd4f4ffbcd", "translated_description": "Naming Alkyl Halides", "image_url": "https://img.youtube.com/vi/jiJdNWzETSk/hqdefault.jpg", "youtube_id": "jiJdNWzETSk", "content_kind": "Video", "readable_id": "naming-alkyl-halides"}, {"translated_youtube_id": "iiGYwCGNrl8", "relative_url": "/video/sn2-reactions", "has_questions": false, "keywords": "Sn2, Reactions", "ka_url": "http://www.khanacademy.org/video/sn2-reactions", "duration": 691, "translated_title": "Sn2 reactions", "translated_description_html": "Sn2 Reactions", "id": "4802248", "description_html": "Sn2 Reactions", "title": "Sn2 reactions", "progress_key": "v4802248", "edit_slug": "edit/v/4802248", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "Sn2 Reactions", "extra_properties": null, "node_slug": "v/sn2-reactions", "deleted": false, "backup_timestamp": "2013-11-25T20:31:05Z", "date_added": "2013-11-25T20:31:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iiGYwCGNrl8.mp4/iiGYwCGNrl8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iiGYwCGNrl8.mp4/iiGYwCGNrl8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iiGYwCGNrl8.m3u8/iiGYwCGNrl8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iiGYwCGNrl8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802248", "sha": "23a597c8b947ea836cfd470cc59f58a41dfadcd0", "translated_description": "Sn2 Reactions", "image_url": "https://img.youtube.com/vi/iiGYwCGNrl8/hqdefault.jpg", "youtube_id": "iiGYwCGNrl8", "content_kind": "Video", "readable_id": "sn2-reactions"}, {"translated_youtube_id": "yc6w21xiKpo", "relative_url": "/video/sn1-reactions", "has_questions": false, "keywords": "Sn1, Reactions", "ka_url": "http://www.khanacademy.org/video/sn1-reactions", "duration": 722, "translated_title": "Sn1 reactions", "translated_description_html": "Introduction to Sn1 reactions", "id": "4802249", "description_html": "Introduction to Sn1 reactions", "title": "Sn1 reactions", "progress_key": "v4802249", "edit_slug": "edit/v/4802249", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "Introduction to Sn1 reactions", "extra_properties": null, "node_slug": "v/sn1-reactions", "deleted": false, "backup_timestamp": "2013-11-25T20:31:05Z", "date_added": "2013-11-25T20:31:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yc6w21xiKpo.mp4/yc6w21xiKpo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yc6w21xiKpo.mp4/yc6w21xiKpo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yc6w21xiKpo.m3u8/yc6w21xiKpo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yc6w21xiKpo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802249", "sha": "92b18dcee60097984bc317d11cb42f251d356353", "translated_description": "Introduction to Sn1 reactions", "image_url": "https://img.youtube.com/vi/yc6w21xiKpo/hqdefault.jpg", "youtube_id": "yc6w21xiKpo", "content_kind": "Video", "readable_id": "sn1-reactions"}, {"translated_youtube_id": "kiaU0jX-kk0", "relative_url": "/video/steric-hindrance-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/steric-hindrance-1", "duration": 472, "translated_title": "Steric hindrance", "translated_description_html": "", "id": "1377090052", "description_html": "", "title": "Steric hindrance", "progress_key": "v1377090052", "edit_slug": "edit/v/1377090052", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/steric-hindrance-1", "deleted": false, "backup_timestamp": "2013-11-25T20:31:04Z", "date_added": "2013-11-25T20:31:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kiaU0jX-kk0.mp4/kiaU0jX-kk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kiaU0jX-kk0.mp4/kiaU0jX-kk0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kiaU0jX-kk0.m3u8/kiaU0jX-kk0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kiaU0jX-kk0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1377090052", "sha": "b95ef23e646ba51fe83517394d4ce5b5ad6adb04", "translated_description": "", "image_url": "https://img.youtube.com/vi/kiaU0jX-kk0/hqdefault.jpg", "youtube_id": "kiaU0jX-kk0", "content_kind": "Video", "readable_id": "steric-hindrance-1"}, {"translated_youtube_id": "WrsROtPSeuA", "relative_url": "/video/sn2-stereochemistry", "has_questions": false, "keywords": "Sn2, Stereochemistry", "ka_url": "http://www.khanacademy.org/video/sn2-stereochemistry", "duration": 601, "translated_title": "Sn2 stereochemistry", "translated_description_html": "Sn2 Stereochemistry", "id": "4802252", "description_html": "Sn2 Stereochemistry", "title": "Sn2 stereochemistry", "progress_key": "v4802252", "edit_slug": "edit/v/4802252", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "Sn2 Stereochemistry", "extra_properties": null, "node_slug": "v/sn2-stereochemistry", "deleted": false, "backup_timestamp": "2013-11-25T20:31:05Z", "date_added": "2013-11-25T20:31:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WrsROtPSeuA.mp4/WrsROtPSeuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WrsROtPSeuA.mp4/WrsROtPSeuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WrsROtPSeuA.m3u8/WrsROtPSeuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WrsROtPSeuA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802252", "sha": "5719868b5c112a84fbd46d2a93940963e30e06f3", "translated_description": "Sn2 Stereochemistry", "image_url": "https://img.youtube.com/vi/WrsROtPSeuA/hqdefault.jpg", "youtube_id": "WrsROtPSeuA", "content_kind": "Video", "readable_id": "sn2-stereochemistry"}, {"translated_youtube_id": "2jH_z9ra9L0", "relative_url": "/video/Sn1-sn2-solvent-effects", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Sn1-sn2-solvent-effects", "duration": 471, "translated_title": "Sn1 and Sn2 solvents effects", "translated_description_html": "", "id": "x422b414a", "description_html": "", "title": "Sn1 and Sn2 solvents effects", "progress_key": "vx422b414a", "edit_slug": "edit/v/x422b414a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Sn1-sn2-solvent-effects", "deleted": false, "backup_timestamp": "2013-11-25T22:57:48Z", "date_added": "2013-11-25T22:57:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2jH_z9ra9L0.mp4/2jH_z9ra9L0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2jH_z9ra9L0.mp4/2jH_z9ra9L0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2jH_z9ra9L0.m3u8/2jH_z9ra9L0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2jH_z9ra9L0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx422b414a", "sha": "cbf7cbc9f3adbe8c8c0aa35898350562dab6ddae", "translated_description": "", "image_url": "https://img.youtube.com/vi/2jH_z9ra9L0/hqdefault.jpg", "youtube_id": "2jH_z9ra9L0", "content_kind": "Video", "readable_id": "Sn1-sn2-solvent-effects"}], "twitter_url": "", "translated_description": "In this tutorial, Sal analyzes the differences between SN1 and SN2 reactions.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal analyzes the differences between SN1 and SN2 reactions.", "x_pos": 0.0, "node_slug": "sn1-sn2-sal", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-25T20:31:04Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe4e2ca9a", "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal", "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal", "slug": "sn1-sn2-sal", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c16eac86325c04426b2a56bf9174b196a3b8a5be", "standalone_title": "SN1 vs SN2", "y_pos": 0.0, "current_revision_key": "c16eac86325c04426b2a56bf9174b196a3b8a5be", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial", "translated_standalone_title": "SN1 and SN2", "translated_title": "Sn1 and Sn2", "gplus_url": "", "id": "x1ab71ea9", "old_key_name": "E8onrrjbL6m9eMgDglU5sRYxWe8fLZ_Mn-_mYzV9", "hide": false, "title": "Sn1 and Sn2", "child_data": [{"kind": "Video", "id": 1258743999}, {"kind": "Video", "id": 1258976400}, {"kind": "Video", "id": 1259020264}, {"kind": "Video", "id": 1259045152}, {"kind": "Video", "id": 1258960831}, {"kind": "Video", "id": 1258881838}, {"kind": "Video", "id": 1258965234}], "children": [{"translated_youtube_id": "O33b6B12YxI", "relative_url": "/video/nucleophile-electrophile-and-the-schwartz-rules", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nucleophile-electrophile-and-the-schwartz-rules", "duration": 566, "translated_title": "Nucleophile/electrophile and the schwartz rules", "translated_description_html": "", "id": "1258743999", "description_html": "", "title": "Nucleophile/electrophile and the schwartz rules", "progress_key": "v1258743999", "edit_slug": "edit/v/1258743999", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/nucleophile-electrophile-and-the-schwartz-rules", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:42:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O33b6B12YxI.mp4/O33b6B12YxI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O33b6B12YxI.mp4/O33b6B12YxI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O33b6B12YxI.m3u8/O33b6B12YxI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O33b6B12YxI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258743999", "sha": "55c67cc45c34b7da0d455a5e3ac363f00d64f2ec", "translated_description": "", "image_url": "https://img.youtube.com/vi/O33b6B12YxI/hqdefault.jpg", "youtube_id": "O33b6B12YxI", "content_kind": "Video", "readable_id": "nucleophile-electrophile-and-the-schwartz-rules"}, {"translated_youtube_id": "VPYDW1_FsyM", "relative_url": "/video/alkyl-halide-nomenclature", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkyl-halide-nomenclature", "duration": 612, "translated_title": "Alkyl halide nomenclature", "translated_description_html": "", "id": "1258976400", "description_html": "", "title": "Alkyl halide nomenclature", "progress_key": "v1258976400", "edit_slug": "edit/v/1258976400", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/alkyl-halide-nomenclature", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:07:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.mp4/VPYDW1_FsyM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.mp4/VPYDW1_FsyM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.m3u8/VPYDW1_FsyM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VPYDW1_FsyM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258976400", "sha": "7191bd7c5da369d16958d65a0655de4641af9c3b", "translated_description": "", "image_url": "https://img.youtube.com/vi/VPYDW1_FsyM/hqdefault.jpg", "youtube_id": "VPYDW1_FsyM", "content_kind": "Video", "readable_id": "alkyl-halide-nomenclature"}, {"translated_youtube_id": "nwULacjb78c", "relative_url": "/video/sn1-reaction--mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-reaction--mechanism", "duration": 700, "translated_title": "Sn1 reaction: Mechanism", "translated_description_html": "", "id": "1259020264", "description_html": "", "title": "Sn1 reaction: Mechanism", "progress_key": "v1259020264", "edit_slug": "edit/v/1259020264", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-reaction--mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:07:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nwULacjb78c.mp4/nwULacjb78c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nwULacjb78c.mp4/nwULacjb78c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nwULacjb78c.m3u8/nwULacjb78c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nwULacjb78c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259020264", "sha": "b74f2de625142b006401335451e59dc2452e764b", "translated_description": "", "image_url": "https://img.youtube.com/vi/nwULacjb78c/hqdefault.jpg", "youtube_id": "nwULacjb78c", "content_kind": "Video", "readable_id": "sn1-reaction--mechanism"}, {"translated_youtube_id": "jUEzjS0IFxs", "relative_url": "/video/sn1-reaction--stereochemistry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-reaction--stereochemistry", "duration": 457, "translated_title": "Sn1 reaction: Stereochemistry", "translated_description_html": "", "id": "1259045152", "description_html": "", "title": "Sn1 reaction: Stereochemistry", "progress_key": "v1259045152", "edit_slug": "edit/v/1259045152", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-reaction--stereochemistry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:08:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jUEzjS0IFxs.mp4/jUEzjS0IFxs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jUEzjS0IFxs.mp4/jUEzjS0IFxs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jUEzjS0IFxs.m3u8/jUEzjS0IFxs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jUEzjS0IFxs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259045152", "sha": "53b72344dbebf16ef3c437920cf26920c0dd3a85", "translated_description": "", "image_url": "https://img.youtube.com/vi/jUEzjS0IFxs/hqdefault.jpg", "youtube_id": "jUEzjS0IFxs", "content_kind": "Video", "readable_id": "sn1-reaction--stereochemistry"}, {"translated_youtube_id": "OiBnhcEA8M4", "relative_url": "/video/sn2-mechanism-and-stereochemistry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn2-mechanism-and-stereochemistry", "duration": 760, "translated_title": "Sn2 mechanism and stereochemistry", "translated_description_html": "", "id": "1258960831", "description_html": "", "title": "Sn2 mechanism and stereochemistry", "progress_key": "v1258960831", "edit_slug": "edit/v/1258960831", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sn2-mechanism-and-stereochemistry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:10:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OiBnhcEA8M4.mp4/OiBnhcEA8M4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OiBnhcEA8M4.mp4/OiBnhcEA8M4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OiBnhcEA8M4.m3u8/OiBnhcEA8M4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OiBnhcEA8M4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258960831", "sha": "6f184f9a5245fff5c6275f32b03db690a4574d36", "translated_description": "", "image_url": "https://img.youtube.com/vi/OiBnhcEA8M4/hqdefault.jpg", "youtube_id": "OiBnhcEA8M4", "content_kind": "Video", "readable_id": "sn2-mechanism-and-stereochemistry"}, {"translated_youtube_id": "ZRMSHG18aMY", "relative_url": "/video/sn1-vs-sn2--solvent-effects", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-vs-sn2--solvent-effects", "duration": 631, "translated_title": "Sn1 vs Sn2: Solvent effects", "translated_description_html": "", "id": "1258881838", "description_html": "", "title": "Sn1 vs Sn2: Solvent effects", "progress_key": "v1258881838", "edit_slug": "edit/v/1258881838", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-vs-sn2--solvent-effects", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:10:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZRMSHG18aMY.mp4/ZRMSHG18aMY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZRMSHG18aMY.mp4/ZRMSHG18aMY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZRMSHG18aMY.m3u8/ZRMSHG18aMY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZRMSHG18aMY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258881838", "sha": "03206e81be6e8cdf5b2f29bf21c3dd9f87816a58", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZRMSHG18aMY/hqdefault.jpg", "youtube_id": "ZRMSHG18aMY", "content_kind": "Video", "readable_id": "sn1-vs-sn2--solvent-effects"}, {"translated_youtube_id": "cyZUgH4yoCo", "relative_url": "/video/sn1-vs-sn2--summary", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-vs-sn2--summary", "duration": 721, "translated_title": "Sn1 vs Sn2: Summary", "translated_description_html": "", "id": "1258965234", "description_html": "", "title": "Sn1 vs Sn2: Summary", "progress_key": "v1258965234", "edit_slug": "edit/v/1258965234", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-vs-sn2--summary", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:11:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cyZUgH4yoCo.mp4/cyZUgH4yoCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cyZUgH4yoCo.mp4/cyZUgH4yoCo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cyZUgH4yoCo.m3u8/cyZUgH4yoCo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cyZUgH4yoCo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258965234", "sha": "4bbfd7bc80d7d031210aac43e1d58bed6facaecd", "translated_description": "", "image_url": "https://img.youtube.com/vi/cyZUgH4yoCo/hqdefault.jpg", "youtube_id": "cyZUgH4yoCo", "content_kind": "Video", "readable_id": "sn1-vs-sn2--summary"}], "twitter_url": "", "translated_description": "In this tutorial, Jay covers the definitions of nucleophile/electrophile, The Schwartz Rules (may the Schwartz be with you!), and the differences between SN1 and SN2 reactions.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay covers the definitions of nucleophile/electrophile, The Schwartz Rules (may the Schwartz be with you!), and the differences between SN1 and SN2 reactions.", "x_pos": 0.0, "node_slug": "sn1-sn2-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1ab71ea9", "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial", "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial", "slug": "sn1-sn2-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "bd1aef20b1fdb398f46a91662177f8e2bcbc8a62", "standalone_title": "SN1 and SN2", "y_pos": 0.0, "current_revision_key": "bd1aef20b1fdb398f46a91662177f8e2bcbc8a62", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial", "translated_standalone_title": "E1 and E2 reactions", "translated_title": "E1 and E2 reactions", "gplus_url": "", "id": "x9e5c7240", "old_key_name": "mYhS2YkPHDnL94ExBzceebrsLy682mF0ysE0XKVC", "hide": false, "title": "E1 and E2 reactions", "child_data": [{"kind": "Video", "id": 1258882694}, {"kind": "Video", "id": 1258786014}, {"kind": "Video", "id": 1258999260}, {"kind": "Video", "id": 1259038068}, {"kind": "Video", "id": 1258149637}, {"kind": "Video", "id": 1258298350}, {"kind": "Video", "id": 1258921468}, {"kind": "Video", "id": 1258933606}, {"kind": "Video", "id": 1258925815}], "children": [{"translated_youtube_id": "28N_IRo9g4Y", "relative_url": "/video/e1-elimination--mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e1-elimination--mechanism", "duration": 755, "translated_title": "E1 elimination: Mechanism", "translated_description_html": "", "id": "1258882694", "description_html": "", "title": "E1 elimination: Mechanism", "progress_key": "v1258882694", "edit_slug": "edit/v/1258882694", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/e1-elimination--mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/28N_IRo9g4Y.mp4/28N_IRo9g4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/28N_IRo9g4Y.mp4/28N_IRo9g4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/28N_IRo9g4Y.m3u8/28N_IRo9g4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=28N_IRo9g4Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258882694", "sha": "f2fe933f1f7b2f22e12e9d34dbbad9202d6a7a67", "translated_description": "", "image_url": "https://img.youtube.com/vi/28N_IRo9g4Y/hqdefault.jpg", "youtube_id": "28N_IRo9g4Y", "content_kind": "Video", "readable_id": "e1-elimination--mechanism"}, {"translated_youtube_id": "qjZnIpZ-EcY", "relative_url": "/video/e1-elimination--regioselectivity-and-stereoselectivity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e1-elimination--regioselectivity-and-stereoselectivity", "duration": 627, "translated_title": "E1 elimination: Regioselectivity and stereoselectivity", "translated_description_html": "", "id": "1258786014", "description_html": "", "title": "E1 elimination: Regioselectivity and stereoselectivity", "progress_key": "v1258786014", "edit_slug": "edit/v/1258786014", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/e1-elimination--regioselectivity-and-stereoselectivity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.mp4/qjZnIpZ-EcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.mp4/qjZnIpZ-EcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.m3u8/qjZnIpZ-EcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qjZnIpZ-EcY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258786014", "sha": "378ada1880a43d8c13209589ad0bd2166aa008a8", "translated_description": "", "image_url": "https://img.youtube.com/vi/qjZnIpZ-EcY/hqdefault.jpg", "youtube_id": "qjZnIpZ-EcY", "content_kind": "Video", "readable_id": "e1-elimination--regioselectivity-and-stereoselectivity"}, {"translated_youtube_id": "fv9h29ZChfI", "relative_url": "/video/carbocations-and-rearrangements", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carbocations-and-rearrangements", "duration": 687, "translated_title": "Carbocations and rearrangements", "translated_description_html": "", "id": "1258999260", "description_html": "", "title": "Carbocations and rearrangements", "progress_key": "v1258999260", "edit_slug": "edit/v/1258999260", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/carbocations-and-rearrangements", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:47:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fv9h29ZChfI.mp4/fv9h29ZChfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fv9h29ZChfI.mp4/fv9h29ZChfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fv9h29ZChfI.m3u8/fv9h29ZChfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fv9h29ZChfI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258999260", "sha": "3e0d13bbb2ee1149fe9e47e7afc4de95bce9bebc", "translated_description": "", "image_url": "https://img.youtube.com/vi/fv9h29ZChfI/hqdefault.jpg", "youtube_id": "fv9h29ZChfI", "content_kind": "Video", "readable_id": "carbocations-and-rearrangements"}, {"translated_youtube_id": "QqRjcPOt4Ss", "relative_url": "/video/e1-elimination--carbocation-rearrangements", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e1-elimination--carbocation-rearrangements", "duration": 835, "translated_title": "E1 elimination: Carbocation rearrangements", "translated_description_html": "", "id": "1259038068", "description_html": "", "title": "E1 elimination: Carbocation rearrangements", "progress_key": "v1259038068", "edit_slug": "edit/v/1259038068", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/e1-elimination--carbocation-rearrangements", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:48:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.mp4/QqRjcPOt4Ss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.mp4/QqRjcPOt4Ss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.m3u8/QqRjcPOt4Ss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QqRjcPOt4Ss&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259038068", "sha": "2d1c6db52d136eed0d4670035d2ba4f44a4ae435", "translated_description": "", "image_url": "https://img.youtube.com/vi/QqRjcPOt4Ss/hqdefault.jpg", "youtube_id": "QqRjcPOt4Ss", "content_kind": "Video", "readable_id": "e1-elimination--carbocation-rearrangements"}, {"translated_youtube_id": "YEEbMd2AGag", "relative_url": "/video/e2-elimination--mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e2-elimination--mechanism", "duration": 448, "translated_title": "E2 elimination: Mechanism", "translated_description_html": "", "id": "1258149637", "description_html": "", "title": "E2 elimination: Mechanism", "progress_key": "v1258149637", "edit_slug": "edit/v/1258149637", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/e2-elimination--mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:49:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.mp4/YEEbMd2AGag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.mp4/YEEbMd2AGag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.m3u8/YEEbMd2AGag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YEEbMd2AGag&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258149637", "sha": "19205af49a8599fb7c86fc752f4cb90d1310ab26", "translated_description": "", "image_url": "https://img.youtube.com/vi/YEEbMd2AGag/hqdefault.jpg", "youtube_id": "YEEbMd2AGag", "content_kind": "Video", "readable_id": "e2-elimination--mechanism"}, {"translated_youtube_id": "WLIwMlIdIxQ", "relative_url": "/video/e2-elimination--regioselectivity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e2-elimination--regioselectivity", "duration": 493, "translated_title": "E2 elimination: Regioselectivity", "translated_description_html": "", "id": "1258298350", "description_html": "", "title": "E2 elimination: Regioselectivity", "progress_key": "v1258298350", "edit_slug": "edit/v/1258298350", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/e2-elimination--regioselectivity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:50:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WLIwMlIdIxQ.mp4/WLIwMlIdIxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WLIwMlIdIxQ.mp4/WLIwMlIdIxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WLIwMlIdIxQ.m3u8/WLIwMlIdIxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WLIwMlIdIxQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258298350", "sha": "86c006f76848d1e48090ef8fc42f66d041a2e90d", "translated_description": "", "image_url": "https://img.youtube.com/vi/WLIwMlIdIxQ/hqdefault.jpg", "youtube_id": "WLIwMlIdIxQ", "content_kind": "Video", "readable_id": "e2-elimination--regioselectivity"}, {"translated_youtube_id": "_oodhLhuD5U", "relative_url": "/video/e2-elimination--stereoselectivity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e2-elimination--stereoselectivity", "duration": 710, "translated_title": "E2 elimination: Stereoselectivity", "translated_description_html": "", "id": "1258921468", "description_html": "", "title": "E2 elimination: Stereoselectivity", "progress_key": "v1258921468", "edit_slug": "edit/v/1258921468", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/e2-elimination--stereoselectivity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:51:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_oodhLhuD5U.mp4/_oodhLhuD5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_oodhLhuD5U.mp4/_oodhLhuD5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_oodhLhuD5U.m3u8/_oodhLhuD5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_oodhLhuD5U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258921468", "sha": "86cfa6102278695eab09729b70b244171da1ecd9", "translated_description": "", "image_url": "https://img.youtube.com/vi/_oodhLhuD5U/hqdefault.jpg", "youtube_id": "_oodhLhuD5U", "content_kind": "Video", "readable_id": "e2-elimination--stereoselectivity"}, {"translated_youtube_id": "ihXlnX3gJTU", "relative_url": "/video/e2-elimination--stereospecificity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e2-elimination--stereospecificity", "duration": 481, "translated_title": "E2 elimination: Stereospecificity", "translated_description_html": "", "id": "1258933606", "description_html": "", "title": "E2 elimination: Stereospecificity", "progress_key": "v1258933606", "edit_slug": "edit/v/1258933606", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/e2-elimination--stereospecificity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:52:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ihXlnX3gJTU.mp4/ihXlnX3gJTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ihXlnX3gJTU.mp4/ihXlnX3gJTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ihXlnX3gJTU.m3u8/ihXlnX3gJTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ihXlnX3gJTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258933606", "sha": "76ab7c3a56b6e07fc141b77cca153008dc4dac70", "translated_description": "", "image_url": "https://img.youtube.com/vi/ihXlnX3gJTU/hqdefault.jpg", "youtube_id": "ihXlnX3gJTU", "content_kind": "Video", "readable_id": "e2-elimination--stereospecificity"}, {"translated_youtube_id": "PP7T8vpT2KI", "relative_url": "/video/e2-elimination--substituted-cyclohexanes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e2-elimination--substituted-cyclohexanes", "duration": 775, "translated_title": "E2 elimination: Substituted cyclohexanes", "translated_description_html": "", "id": "1258925815", "description_html": "", "title": "E2 elimination: Substituted cyclohexanes", "progress_key": "v1258925815", "edit_slug": "edit/v/1258925815", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/e2-elimination--substituted-cyclohexanes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:53:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PP7T8vpT2KI.mp4/PP7T8vpT2KI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PP7T8vpT2KI.mp4/PP7T8vpT2KI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PP7T8vpT2KI.m3u8/PP7T8vpT2KI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PP7T8vpT2KI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258925815", "sha": "7579102c4d27361a4d995fb9fec08a2317fd6627", "translated_description": "", "image_url": "https://img.youtube.com/vi/PP7T8vpT2KI/hqdefault.jpg", "youtube_id": "PP7T8vpT2KI", "content_kind": "Video", "readable_id": "e2-elimination--substituted-cyclohexanes"}], "twitter_url": "", "translated_description": "In this tutorial, Jay covers the E1 elimination mechanism, carbocation rearrangements, and the details of the E2 elimination reaction.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay covers the E1 elimination mechanism, carbocation rearrangements, and the details of the E2 elimination reaction.", "x_pos": 0.0, "node_slug": "e1-e2-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9e5c7240", "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial", "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial", "slug": "e1-e2-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b3c96d4045b34f6c12c066d958c6076f2b6fa650", "standalone_title": "E1 and E2 reactions", "y_pos": 0.0, "current_revision_key": "b3c96d4045b34f6c12c066d958c6076f2b6fa650", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay", "translated_standalone_title": "SN1/SN2/E1/E2", "translated_title": "Sn1/Sn2/E1/E2", "gplus_url": "", "id": "x8a19f4ad", "old_key_name": "mCPVjjpk40SxSUs7E-1YtKEqxZjudNxp9CsLZ5j8", "hide": false, "title": "Sn1/Sn2/E1/E2", "child_data": [{"kind": "Video", "id": 1258682830}, {"kind": "Video", "id": 1258945673}, {"kind": "Video", "id": 1259026446}], "children": [{"translated_youtube_id": "Iit8p6xzfr8", "relative_url": "/video/nucleophilicity-and-basicity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nucleophilicity-and-basicity", "duration": 780, "translated_title": "Nucleophilicity and basicity", "translated_description_html": "Correction: I forgot to draw a negative charge next to the first iodide anion.", "id": "1258682830", "description_html": "Correction: I forgot to draw a negative charge next to the first iodide anion.", "title": "Nucleophilicity and basicity", "progress_key": "v1258682830", "edit_slug": "edit/v/1258682830", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correction: I forgot to draw a negative charge next to the first iodide anion.", "extra_properties": null, "node_slug": "v/nucleophilicity-and-basicity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:12:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iit8p6xzfr8.mp4/Iit8p6xzfr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iit8p6xzfr8.mp4/Iit8p6xzfr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iit8p6xzfr8.m3u8/Iit8p6xzfr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iit8p6xzfr8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258682830", "sha": "09e6ad210d4cd08a8c59931497b275a1cbac25cd", "translated_description": "Correction: I forgot to draw a negative charge next to the first iodide anion.", "image_url": "https://img.youtube.com/vi/Iit8p6xzfr8/hqdefault.jpg", "youtube_id": "Iit8p6xzfr8", "content_kind": "Video", "readable_id": "nucleophilicity-and-basicity"}, {"translated_youtube_id": "pzHEtjAUVtY", "relative_url": "/video/sn1-sn2-e1-e2-reactions--primary-and-tertiary-alkyl-halides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-sn2-e1-e2-reactions--primary-and-tertiary-alkyl-halides", "duration": 551, "translated_title": "Sn1 Sn2 E1 E2 reactions: Primary and tertiary alkyl halides", "translated_description_html": "", "id": "1258945673", "description_html": "", "title": "Sn1 Sn2 E1 E2 reactions: Primary and tertiary alkyl halides", "progress_key": "v1258945673", "edit_slug": "edit/v/1258945673", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-sn2-e1-e2-reactions--primary-and-tertiary-alkyl-halides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:12:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzHEtjAUVtY.mp4/pzHEtjAUVtY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzHEtjAUVtY.mp4/pzHEtjAUVtY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzHEtjAUVtY.m3u8/pzHEtjAUVtY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzHEtjAUVtY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258945673", "sha": "718d7d34aa77f255d98b07274ad2be03c5ed4698", "translated_description": "", "image_url": "https://img.youtube.com/vi/pzHEtjAUVtY/hqdefault.jpg", "youtube_id": "pzHEtjAUVtY", "content_kind": "Video", "readable_id": "sn1-sn2-e1-e2-reactions--primary-and-tertiary-alkyl-halides"}, {"translated_youtube_id": "fwSGKbmuHFI", "relative_url": "/video/sn1-sn2-e1-e2-reactions--secondary-alkyl-halides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sn1-sn2-e1-e2-reactions--secondary-alkyl-halides", "duration": 656, "translated_title": "Sn1 Sn2 E1 E2 reactions: Secondary alkyl halides", "translated_description_html": "", "id": "1259026446", "description_html": "", "title": "Sn1 Sn2 E1 E2 reactions: Secondary alkyl halides", "progress_key": "v1259026446", "edit_slug": "edit/v/1259026446", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/sn1-sn2-e1-e2-reactions--secondary-alkyl-halides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:14:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fwSGKbmuHFI.mp4/fwSGKbmuHFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fwSGKbmuHFI.mp4/fwSGKbmuHFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fwSGKbmuHFI.m3u8/fwSGKbmuHFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fwSGKbmuHFI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259026446", "sha": "4fba57d2632bc5d2ed0ebc09cc0fa95b991dd970", "translated_description": "", "image_url": "https://img.youtube.com/vi/fwSGKbmuHFI/hqdefault.jpg", "youtube_id": "fwSGKbmuHFI", "content_kind": "Video", "readable_id": "sn1-sn2-e1-e2-reactions--secondary-alkyl-halides"}], "twitter_url": "", "translated_description": "In this tutorial, Jay discusses the strength of a nucleophile and the differences between SN1, SN2, E1, and E2 reactions.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay discusses the strength of a nucleophile and the differences between SN1, SN2, E1, and E2 reactions.", "x_pos": 0.0, "node_slug": "sn1-sn2-e1-e2-jay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8a19f4ad", "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay", "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay", "slug": "sn1-sn2-e1-e2-jay", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ff555dd6d53229815fd73d53f24d5d6995d6f873", "standalone_title": "SN1/SN2/E1/E2", "y_pos": 0.0, "current_revision_key": "ff555dd6d53229815fd73d53f24d5d6995d6f873", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "SN1, SN2, E1, E2, nucleophiles, nucleophilicity, basicity", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "SN1, SN2, E1, E2, nucleophiles, nucleophilicity, basicity", "x_pos": 0.0, "node_slug": "substitution-elimination-reactions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax00b805dc", "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions", "extended_slug": "science/organic-chemistry/substitution-elimination-reactions", "slug": "substitution-elimination-reactions", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b01c11588ac387785e7f7345d0ea14c1966ca453", "standalone_title": "Substitution and elimination reactions", "y_pos": 0.0, "current_revision_key": "b01c11588ac387785e7f7345d0ea14c1966ca453", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes", "translated_standalone_title": "Alkenes and alkynes", "translated_title": "Alkenes and alkynes", "gplus_url": "", "id": "x53149848", "old_key_name": "rX5qlx42B21zReA8I36mzZMyhYMGgj3JDNuInwtG", "hide": false, "title": "Alkenes and alkynes", "child_data": [{"kind": "Topic", "id": "xfe1ed955"}, {"kind": "Topic", "id": "x5d728e0b"}, {"kind": "Topic", "id": "x546d0737"}, {"kind": "Topic", "id": "x1a498bff"}, {"kind": "Topic", "id": "x81bb8c3d"}, {"kind": "Topic", "id": "x711e0019"}, {"kind": "Topic", "id": "x557231e4"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes", "translated_standalone_title": "Naming alkenes", "translated_title": "Naming alkenes", "gplus_url": "", "id": "xfe1ed955", "old_key_name": "ObALnuvPqjqxQ_zYQ34OQwaIcfPjmkTpn36riKoz", "hide": false, "title": "Naming alkenes", "child_data": [{"kind": "Video", "id": 2600609}, {"kind": "Video", "id": 2729}, {"kind": "Video", "id": 2730}], "children": [{"translated_youtube_id": "KWv5PaoHwPA", "relative_url": "/video/naming-alkenes-examples", "has_questions": false, "keywords": "Naming, Alkenes, Examples", "ka_url": "http://www.khanacademy.org/video/naming-alkenes-examples", "duration": 507, "translated_title": "Naming alkenes examples", "translated_description_html": "Naming Alkenes Examples", "id": "2600609", "description_html": "Naming Alkenes Examples", "title": "Naming alkenes examples", "progress_key": "v2600609", "edit_slug": "edit/v/2600609", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Naming Alkenes Examples", "extra_properties": null, "node_slug": "v/naming-alkenes-examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KWv5PaoHwPA.mp4/KWv5PaoHwPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KWv5PaoHwPA.mp4/KWv5PaoHwPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KWv5PaoHwPA.m3u8/KWv5PaoHwPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KWv5PaoHwPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2600609", "sha": "72a8e8cd6487c0fcdcea0a5b6aa2dfb5281d1501", "translated_description": "Naming Alkenes Examples", "image_url": "https://img.youtube.com/vi/KWv5PaoHwPA/hqdefault.jpg", "youtube_id": "KWv5PaoHwPA", "content_kind": "Video", "readable_id": "naming-alkenes-examples"}, {"translated_youtube_id": "oYoQpDtBLac", "relative_url": "/video/cis-trans-and-e-z-naming-scheme-for-alkenes", "has_questions": false, "keywords": "Cis-Trans, and, E-Z, Naming, Scheme, for, Alkenes", "ka_url": "http://www.khanacademy.org/video/cis-trans-and-e-z-naming-scheme-for-alkenes", "duration": 296, "translated_title": "cis-trans and E-Z naming scheme for alkenes", "translated_description_html": "Cis-Trans and E-Z Naming Scheme for Alkenes", "id": "2729", "description_html": "Cis-Trans and E-Z Naming Scheme for Alkenes", "title": "cis-trans and E-Z naming scheme for alkenes", "progress_key": "v2729", "edit_slug": "edit/v/2729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Cis-Trans and E-Z Naming Scheme for Alkenes", "extra_properties": null, "node_slug": "v/cis-trans-and-e-z-naming-scheme-for-alkenes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oYoQpDtBLac.mp4/oYoQpDtBLac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oYoQpDtBLac.mp4/oYoQpDtBLac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oYoQpDtBLac.m3u8/oYoQpDtBLac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oYoQpDtBLac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2729", "sha": "8f7b443d30621cc484d5f515c6e0b8cf2d30efaf", "translated_description": "Cis-Trans and E-Z Naming Scheme for Alkenes", "image_url": "https://img.youtube.com/vi/oYoQpDtBLac/hqdefault.jpg", "youtube_id": "oYoQpDtBLac", "content_kind": "Video", "readable_id": "cis-trans-and-e-z-naming-scheme-for-alkenes"}, {"translated_youtube_id": "GFiizJ-jGVw", "relative_url": "/video/entgegen-zusammen-naming-scheme-for-alkenes-examples", "has_questions": false, "keywords": "Entgegen-Zusammen, Naming, Scheme, for, Alkenes, Examples", "ka_url": "http://www.khanacademy.org/video/entgegen-zusammen-naming-scheme-for-alkenes-examples", "duration": 364, "translated_title": "Entgegen-Zusammen naming scheme for alkenes examples", "translated_description_html": "Entgegen-Zusammen Naming Scheme for Alkenes Examples", "id": "2730", "description_html": "Entgegen-Zusammen Naming Scheme for Alkenes Examples", "title": "Entgegen-Zusammen naming scheme for alkenes examples", "progress_key": "v2730", "edit_slug": "edit/v/2730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Entgegen-Zusammen Naming Scheme for Alkenes Examples", "extra_properties": null, "node_slug": "v/entgegen-zusammen-naming-scheme-for-alkenes-examples", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:48:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GFiizJ-jGVw.mp4/GFiizJ-jGVw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GFiizJ-jGVw.mp4/GFiizJ-jGVw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GFiizJ-jGVw.m3u8/GFiizJ-jGVw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GFiizJ-jGVw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2730", "sha": "f979a59178d8389e393e69076876be188d707338", "translated_description": "Entgegen-Zusammen Naming Scheme for Alkenes Examples", "image_url": "https://img.youtube.com/vi/GFiizJ-jGVw/hqdefault.jpg", "youtube_id": "GFiizJ-jGVw", "content_kind": "Video", "readable_id": "entgegen-zusammen-naming-scheme-for-alkenes-examples"}], "twitter_url": "", "translated_description": "In this tutorial, Sal names alkenes and discusses the E-Z system.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal names alkenes and discusses the E-Z system.", "x_pos": 0.0, "node_slug": "naming-alkenes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfe1ed955", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes", "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-alkenes", "slug": "naming-alkenes", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e8cf2cd18c90316e09edbc0859f985b8eead0b63", "standalone_title": "Naming alkenes", "y_pos": 0.0, "current_revision_key": "e8cf2cd18c90316e09edbc0859f985b8eead0b63", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay", "translated_standalone_title": "Alkene nomenclature", "translated_title": "Alkene nomenclature", "gplus_url": "", "id": "x546d0737", "old_key_name": "DOrPFhRk6oIqUBDcahv9qKZT3Dy56aFQ_P2BTB-K", "hide": false, "title": "Alkene nomenclature", "child_data": [{"kind": "Video", "id": 1258861593}, {"kind": "Video", "id": 1258968516}, {"kind": "Video", "id": 1258959975}], "children": [{"translated_youtube_id": "kDOepUPGhFs", "relative_url": "/video/alkene-intro-and-stability", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkene-intro-and-stability", "duration": 529, "translated_title": "Alkene intro and stability", "translated_description_html": "", "id": "1258861593", "description_html": "", "title": "Alkene intro and stability", "progress_key": "v1258861593", "edit_slug": "edit/v/1258861593", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/alkene-intro-and-stability", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:43:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.mp4/kDOepUPGhFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.mp4/kDOepUPGhFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.m3u8/kDOepUPGhFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kDOepUPGhFs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258861593", "sha": "ea0072ab660ff6bf990349f07c192dee5eb5226c", "translated_description": "", "image_url": "https://img.youtube.com/vi/kDOepUPGhFs/hqdefault.jpg", "youtube_id": "kDOepUPGhFs", "content_kind": "Video", "readable_id": "alkene-intro-and-stability"}, {"translated_youtube_id": "g1ZZIee9zk0", "relative_url": "/video/alkene-nomenclature", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkene-nomenclature", "duration": 639, "translated_title": "Alkene nomenclature", "translated_description_html": "", "id": "1258968516", "description_html": "", "title": "Alkene nomenclature", "progress_key": "v1258968516", "edit_slug": "edit/v/1258968516", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/alkene-nomenclature", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:44:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g1ZZIee9zk0.mp4/g1ZZIee9zk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g1ZZIee9zk0.mp4/g1ZZIee9zk0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g1ZZIee9zk0.m3u8/g1ZZIee9zk0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g1ZZIee9zk0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258968516", "sha": "2f5bb21c2545961fba90d820aa4530a7484b32fa", "translated_description": "", "image_url": "https://img.youtube.com/vi/g1ZZIee9zk0/hqdefault.jpg", "youtube_id": "g1ZZIee9zk0", "content_kind": "Video", "readable_id": "alkene-nomenclature"}, {"translated_youtube_id": "sf7KAIP6fWQ", "relative_url": "/video/cis-trans-and-the-e-z-system", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cis-trans-and-the-e-z-system", "duration": 569, "translated_title": "cis/trans and the E/Z system", "translated_description_html": "", "id": "1258959975", "description_html": "", "title": "cis/trans and the E/Z system", "progress_key": "v1258959975", "edit_slug": "edit/v/1258959975", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/cis-trans-and-the-e-z-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T20:44:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sf7KAIP6fWQ.mp4/sf7KAIP6fWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sf7KAIP6fWQ.mp4/sf7KAIP6fWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sf7KAIP6fWQ.m3u8/sf7KAIP6fWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sf7KAIP6fWQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258959975", "sha": "00b715d89de7d36ecbf9293c48a3423425ada26f", "translated_description": "", "image_url": "https://img.youtube.com/vi/sf7KAIP6fWQ/hqdefault.jpg", "youtube_id": "sf7KAIP6fWQ", "content_kind": "Video", "readable_id": "cis-trans-and-the-e-z-system"}], "twitter_url": "", "translated_description": "In this tutorial, Jay names alkenes, discusses the stability of alkenes, and introduces the E/Z system.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay names alkenes, discusses the stability of alkenes, and introduces the E/Z system.", "x_pos": 0.0, "node_slug": "naming-alkenes-jay", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax546d0737", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay", "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay", "slug": "naming-alkenes-jay", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "247c7c293c505c30c006b41202b987d79a7d0b77", "standalone_title": "Alkene nomenclature", "y_pos": 0.0, "current_revision_key": "247c7c293c505c30c006b41202b987d79a7d0b77", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial", "translated_standalone_title": "Alkene reactions", "translated_title": "Alkene reactions", "gplus_url": "", "id": "x1a498bff", "old_key_name": "XvkFMNY2tKpT1aR3lADdQli28yRPsxN3-sgl6y9c", "hide": false, "title": "Alkene reactions", "child_data": [{"kind": "Video", "id": 1258433841}, {"kind": "Video", "id": 1259066051}, {"kind": "Video", "id": 1258968655}, {"kind": "Video", "id": 1259000494}, {"kind": "Video", "id": 1259028558}, {"kind": "Video", "id": 1258907027}, {"kind": "Video", "id": 1259063070}, {"kind": "Video", "id": 1258968713}, {"kind": "Video", "id": "xd84d8622"}], "children": [{"translated_youtube_id": "fSk1Crn3R2E", "relative_url": "/video/hydrogenation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydrogenation", "duration": 702, "translated_title": "Hydrogenation", "translated_description_html": "", "id": "1258433841", "description_html": "", "title": "Hydrogenation", "progress_key": "v1258433841", "edit_slug": "edit/v/1258433841", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/hydrogenation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:03:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.mp4/fSk1Crn3R2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.mp4/fSk1Crn3R2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.m3u8/fSk1Crn3R2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fSk1Crn3R2E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258433841", "sha": "d575326992cc733c8043d3199a10470e5323a54a", "translated_description": "", "image_url": "https://img.youtube.com/vi/fSk1Crn3R2E/hqdefault.jpg", "youtube_id": "fSk1Crn3R2E", "content_kind": "Video", "readable_id": "hydrogenation"}, {"translated_youtube_id": "iEKA0jUstPs", "relative_url": "/video/hydrohalogenation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydrohalogenation", "duration": 723, "translated_title": "Hydrohalogenation", "translated_description_html": "", "id": "1259066051", "description_html": "", "title": "Hydrohalogenation", "progress_key": "v1259066051", "edit_slug": "edit/v/1259066051", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/hydrohalogenation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T20:57:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iEKA0jUstPs.mp4/iEKA0jUstPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iEKA0jUstPs.mp4/iEKA0jUstPs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iEKA0jUstPs.m3u8/iEKA0jUstPs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iEKA0jUstPs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259066051", "sha": "1a381a8abf5d4d6ab06cb153b0937d69ed9629d1", "translated_description": "", "image_url": "https://img.youtube.com/vi/iEKA0jUstPs/hqdefault.jpg", "youtube_id": "iEKA0jUstPs", "content_kind": "Video", "readable_id": "hydrohalogenation"}, {"translated_youtube_id": "dJhxphep_gY", "relative_url": "/video/hydration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydration", "duration": 861, "translated_title": "Hydration", "translated_description_html": "", "id": "1258968655", "description_html": "", "title": "Hydration", "progress_key": "v1258968655", "edit_slug": "edit/v/1258968655", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/hydration", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T20:58:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dJhxphep_gY.mp4/dJhxphep_gY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dJhxphep_gY.mp4/dJhxphep_gY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dJhxphep_gY.m3u8/dJhxphep_gY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dJhxphep_gY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258968655", "sha": "e8db6f170c16b0812ed5be78219d3a4e78e507a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/dJhxphep_gY/hqdefault.jpg", "youtube_id": "dJhxphep_gY", "content_kind": "Video", "readable_id": "hydration"}, {"translated_youtube_id": "Yiy84xYQ3es", "relative_url": "/video/halogenation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/halogenation", "duration": 493, "translated_title": "Halogenation", "translated_description_html": "", "id": "1259000494", "description_html": "", "title": "Halogenation", "progress_key": "v1259000494", "edit_slug": "edit/v/1259000494", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/halogenation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T22:01:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yiy84xYQ3es.mp4/Yiy84xYQ3es.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yiy84xYQ3es.mp4/Yiy84xYQ3es.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yiy84xYQ3es.m3u8/Yiy84xYQ3es.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Yiy84xYQ3es&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259000494", "sha": "2d2316f020eb0c0ed3a110cc892e910a9482a383", "translated_description": "", "image_url": "https://img.youtube.com/vi/Yiy84xYQ3es/hqdefault.jpg", "youtube_id": "Yiy84xYQ3es", "content_kind": "Video", "readable_id": "halogenation"}, {"translated_youtube_id": "FaOOx6IZxV8", "relative_url": "/video/halohydrin-formation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/halohydrin-formation", "duration": 765, "translated_title": "Halohydrin formation", "translated_description_html": "", "id": "1259028558", "description_html": "", "title": "Halohydrin formation", "progress_key": "v1259028558", "edit_slug": "edit/v/1259028558", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/halohydrin-formation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:02:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaOOx6IZxV8.mp4/FaOOx6IZxV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaOOx6IZxV8.mp4/FaOOx6IZxV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FaOOx6IZxV8.m3u8/FaOOx6IZxV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FaOOx6IZxV8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259028558", "sha": "6654ad54b6151e66a0360a042c4ad375a8750837", "translated_description": "", "image_url": "https://img.youtube.com/vi/FaOOx6IZxV8/hqdefault.jpg", "youtube_id": "FaOOx6IZxV8", "content_kind": "Video", "readable_id": "halohydrin-formation"}, {"translated_youtube_id": "ak--LSQe7pk", "relative_url": "/video/hydroboration-oxidation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydroboration-oxidation", "duration": 786, "translated_title": "Hydroboration-oxidation", "translated_description_html": "", "id": "1258907027", "description_html": "", "title": "Hydroboration-oxidation", "progress_key": "v1258907027", "edit_slug": "edit/v/1258907027", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/hydroboration-oxidation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:02:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.mp4/ak--LSQe7pk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.mp4/ak--LSQe7pk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.m3u8/ak--LSQe7pk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ak--LSQe7pk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258907027", "sha": "459e4ccc26a43af4de4a6a17afbfced7917cc354", "translated_description": "", "image_url": "https://img.youtube.com/vi/ak--LSQe7pk/hqdefault.jpg", "youtube_id": "ak--LSQe7pk", "content_kind": "Video", "readable_id": "hydroboration-oxidation"}, {"translated_youtube_id": "KfTosrMs5W0", "relative_url": "/video/epoxide-formation-and-anti-dihydroxylation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/epoxide-formation-and-anti-dihydroxylation", "duration": 740, "translated_title": "Epoxide formation and anti dihydroxylation", "translated_description_html": "", "id": "1259063070", "description_html": "", "title": "Epoxide formation and anti dihydroxylation", "progress_key": "v1259063070", "edit_slug": "edit/v/1259063070", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/epoxide-formation-and-anti-dihydroxylation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:04:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.mp4/KfTosrMs5W0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.mp4/KfTosrMs5W0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.m3u8/KfTosrMs5W0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KfTosrMs5W0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259063070", "sha": "7502a8cecc49b2b7ab8d05806faf555ca0931c86", "translated_description": "", "image_url": "https://img.youtube.com/vi/KfTosrMs5W0/hqdefault.jpg", "youtube_id": "KfTosrMs5W0", "content_kind": "Video", "readable_id": "epoxide-formation-and-anti-dihydroxylation"}, {"translated_youtube_id": "76KtDSfWnkw", "relative_url": "/video/syn-dihydroxylation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/syn-dihydroxylation", "duration": 812, "translated_title": "Syn dihydroxylation", "translated_description_html": "", "id": "1258968713", "description_html": "", "title": "Syn dihydroxylation", "progress_key": "v1258968713", "edit_slug": "edit/v/1258968713", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/syn-dihydroxylation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:05:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/76KtDSfWnkw.mp4/76KtDSfWnkw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/76KtDSfWnkw.mp4/76KtDSfWnkw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/76KtDSfWnkw.m3u8/76KtDSfWnkw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=76KtDSfWnkw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258968713", "sha": "208384b4fdcda222c867105a2d1f91feadc72ef4", "translated_description": "", "image_url": "https://img.youtube.com/vi/76KtDSfWnkw/hqdefault.jpg", "youtube_id": "76KtDSfWnkw", "content_kind": "Video", "readable_id": "syn-dihydroxylation"}, {"translated_youtube_id": "bFj3HpdC4Uk", "relative_url": "/video/ozonolysis-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ozonolysis-1", "duration": 822, "translated_title": "Ozonolysis", "translated_description_html": "Alkene cleavage using ozone", "id": "xd84d8622", "description_html": "Alkene cleavage using ozone", "title": "Ozonolysis", "progress_key": "vxd84d8622", "edit_slug": "edit/v/xd84d8622", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Alkene cleavage using ozone", "extra_properties": {"original_url": ""}, "node_slug": "v/ozonolysis-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-06T13:51:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bFj3HpdC4Uk.mp4/bFj3HpdC4Uk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bFj3HpdC4Uk.mp4/bFj3HpdC4Uk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bFj3HpdC4Uk.m3u8/bFj3HpdC4Uk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bFj3HpdC4Uk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd84d8622", "sha": "2d94adad6456eaa1bd3bd2643bf785820271eaa5", "translated_description": "Alkene cleavage using ozone", "image_url": "https://img.youtube.com/vi/bFj3HpdC4Uk/hqdefault.jpg", "youtube_id": "bFj3HpdC4Uk", "content_kind": "Video", "readable_id": "ozonolysis-1"}], "twitter_url": "", "translated_description": "In this tutorial, Jay explains the addition reactions of alkenes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay explains the addition reactions of alkenes.", "x_pos": 0.0, "node_slug": "alkene-reactions-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1a498bff", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial", "extended_slug": "science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial", "slug": "alkene-reactions-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6732b5e2ce19b4b6300e3f899e4d677a2e68953e", "standalone_title": "Alkene reactions", "y_pos": 0.0, "current_revision_key": "6732b5e2ce19b4b6300e3f899e4d677a2e68953e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes", "translated_standalone_title": "Naming and preparing alkynes", "translated_title": "Naming and preparing alkynes", "gplus_url": "", "id": "x81bb8c3d", "old_key_name": "-OlRh1J1a9wtpDQLn9Ho2zhsQtlh7JJTa95pIDEu", "hide": false, "title": "Naming and preparing alkynes", "child_data": [{"kind": "Video", "id": 1259049525}, {"kind": "Video", "id": 1258994895}, {"kind": "Video", "id": 1258920438}], "children": [{"translated_youtube_id": "qZTeyhR1akA", "relative_url": "/video/alkyne-nomenclature", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkyne-nomenclature", "duration": 428, "translated_title": "Alkyne nomenclature", "translated_description_html": "", "id": "1259049525", "description_html": "", "title": "Alkyne nomenclature", "progress_key": "v1259049525", "edit_slug": "edit/v/1259049525", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/alkyne-nomenclature", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T21:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.mp4/qZTeyhR1akA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.mp4/qZTeyhR1akA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.m3u8/qZTeyhR1akA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qZTeyhR1akA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259049525", "sha": "7f91d5381b8a183d4eba570b54e6fabdffa8ab07", "translated_description": "", "image_url": "https://img.youtube.com/vi/qZTeyhR1akA/hqdefault.jpg", "youtube_id": "qZTeyhR1akA", "content_kind": "Video", "readable_id": "alkyne-nomenclature"}, {"translated_youtube_id": "_-I3HdmyYfE", "relative_url": "/video/alkyne-acidity-and-alkylation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alkyne-acidity-and-alkylation", "duration": 475, "translated_title": "Alkyne acidity and alkylation", "translated_description_html": "", "id": "1258994895", "description_html": "", "title": "Alkyne acidity and alkylation", "progress_key": "v1258994895", "edit_slug": "edit/v/1258994895", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/alkyne-acidity-and-alkylation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.mp4/_-I3HdmyYfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.mp4/_-I3HdmyYfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.m3u8/_-I3HdmyYfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_-I3HdmyYfE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258994895", "sha": "02377e1966a0bb97b71c0e7c2e3f9c5a943b7d21", "translated_description": "", "image_url": "https://img.youtube.com/vi/_-I3HdmyYfE/hqdefault.jpg", "youtube_id": "_-I3HdmyYfE", "content_kind": "Video", "readable_id": "alkyne-acidity-and-alkylation"}, {"translated_youtube_id": "HbDWBeRJboE", "relative_url": "/video/preparation-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-alkynes", "duration": 445, "translated_title": "Preparation of alkynes", "translated_description_html": "Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.", "id": "1258920438", "description_html": "Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.", "title": "Preparation of alkynes", "progress_key": "v1258920438", "edit_slug": "edit/v/1258920438", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.", "extra_properties": null, "node_slug": "v/preparation-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:56:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HbDWBeRJboE.mp4/HbDWBeRJboE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HbDWBeRJboE.mp4/HbDWBeRJboE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HbDWBeRJboE.m3u8/HbDWBeRJboE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HbDWBeRJboE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258920438", "sha": "3cab4270758ee807b217e54e4471de84bc8cefe1", "translated_description": "Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.", "image_url": "https://img.youtube.com/vi/HbDWBeRJboE/hqdefault.jpg", "youtube_id": "HbDWBeRJboE", "content_kind": "Video", "readable_id": "preparation-of-alkynes"}], "twitter_url": "", "translated_description": "In this tutorial, Jay covers the nomenclature and preparation of alkynes, the acidity of terminal alkynes, and the alkylation of alkynes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay covers the nomenclature and preparation of alkynes, the acidity of terminal alkynes, and the alkylation of alkynes.", "x_pos": 0.0, "node_slug": "naming-preparation-alkynes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax81bb8c3d", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes", "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes", "slug": "naming-preparation-alkynes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0aa4bd78f46d871261eccd4601c6723ae7071b2d", "standalone_title": "Naming and preparing alkynes", "y_pos": 0.0, "current_revision_key": "0aa4bd78f46d871261eccd4601c6723ae7071b2d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkyne-reactions", "translated_standalone_title": "Alkyne reactions", "translated_title": "Alkyne reactions", "gplus_url": "", "id": "x711e0019", "old_key_name": "6HsjKYlbSq80ugxmOcf7iAhdEdYEyF6eGw3j4Y4_", "hide": false, "title": "Alkyne reactions", "child_data": [{"kind": "Video", "id": 1259109290}, {"kind": "Video", "id": 1259095280}, {"kind": "Video", "id": 1258994911}, {"kind": "Video", "id": 1259003454}, {"kind": "Video", "id": 1259118223}], "children": [{"translated_youtube_id": "RdFfIEDxo18", "relative_url": "/video/reduction-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reduction-of-alkynes", "duration": 604, "translated_title": "Reduction of alkynes", "translated_description_html": "", "id": "1259109290", "description_html": "", "title": "Reduction of alkynes", "progress_key": "v1259109290", "edit_slug": "edit/v/1259109290", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/reduction-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T21:57:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.mp4/RdFfIEDxo18.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.mp4/RdFfIEDxo18.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.m3u8/RdFfIEDxo18.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RdFfIEDxo18&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259109290", "sha": "53b52ea926835f2124256f1757e30a212e02c452", "translated_description": "", "image_url": "https://img.youtube.com/vi/RdFfIEDxo18/hqdefault.jpg", "youtube_id": "RdFfIEDxo18", "content_kind": "Video", "readable_id": "reduction-of-alkynes"}, {"translated_youtube_id": "EbRxaBShveI", "relative_url": "/video/hydrohalogenation-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydrohalogenation-of-alkynes", "duration": 609, "translated_title": "Hydrohalogenation of alkynes", "translated_description_html": "", "id": "1259095280", "description_html": "", "title": "Hydrohalogenation of alkynes", "progress_key": "v1259095280", "edit_slug": "edit/v/1259095280", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/hydrohalogenation-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T21:57:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EbRxaBShveI.mp4/EbRxaBShveI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EbRxaBShveI.mp4/EbRxaBShveI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EbRxaBShveI.m3u8/EbRxaBShveI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EbRxaBShveI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259095280", "sha": "1b0f4bc05767f7732d5231a25ca3aa66dd689f79", "translated_description": "", "image_url": "https://img.youtube.com/vi/EbRxaBShveI/hqdefault.jpg", "youtube_id": "EbRxaBShveI", "content_kind": "Video", "readable_id": "hydrohalogenation-of-alkynes"}, {"translated_youtube_id": "AE1pkp-_cKE", "relative_url": "/video/hydration-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydration-of-alkynes", "duration": 477, "translated_title": "Hydration of alkynes", "translated_description_html": "", "id": "1258994911", "description_html": "", "title": "Hydration of alkynes", "progress_key": "v1258994911", "edit_slug": "edit/v/1258994911", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/hydration-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T21:58:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AE1pkp-_cKE.mp4/AE1pkp-_cKE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AE1pkp-_cKE.mp4/AE1pkp-_cKE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AE1pkp-_cKE.m3u8/AE1pkp-_cKE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AE1pkp-_cKE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258994911", "sha": "5a808dd03ae8b994856a03a56baadf29093a09ac", "translated_description": "", "image_url": "https://img.youtube.com/vi/AE1pkp-_cKE/hqdefault.jpg", "youtube_id": "AE1pkp-_cKE", "content_kind": "Video", "readable_id": "hydration-of-alkynes"}, {"translated_youtube_id": "3KrqQXsWP1M", "relative_url": "/video/hydroboration-oxidation-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hydroboration-oxidation-of-alkynes", "duration": 515, "translated_title": "Hydroboration-oxidation of alkynes", "translated_description_html": "", "id": "1259003454", "description_html": "", "title": "Hydroboration-oxidation of alkynes", "progress_key": "v1259003454", "edit_slug": "edit/v/1259003454", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/hydroboration-oxidation-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T21:58:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.mp4/3KrqQXsWP1M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.mp4/3KrqQXsWP1M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.m3u8/3KrqQXsWP1M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3KrqQXsWP1M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259003454", "sha": "13ccc6b7f53f17db444eb40dbcbf4ae3b4533fee", "translated_description": "", "image_url": "https://img.youtube.com/vi/3KrqQXsWP1M/hqdefault.jpg", "youtube_id": "3KrqQXsWP1M", "content_kind": "Video", "readable_id": "hydroboration-oxidation-of-alkynes"}, {"translated_youtube_id": "bEJxFs0f35o", "relative_url": "/video/halogenation-and-ozonolysis-of-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/halogenation-and-ozonolysis-of-alkynes", "duration": 440, "translated_title": "Halogenation and ozonolysis of alkynes", "translated_description_html": "", "id": "1259118223", "description_html": "", "title": "Halogenation and ozonolysis of alkynes", "progress_key": "v1259118223", "edit_slug": "edit/v/1259118223", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/halogenation-and-ozonolysis-of-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T21:59:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bEJxFs0f35o.mp4/bEJxFs0f35o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bEJxFs0f35o.mp4/bEJxFs0f35o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bEJxFs0f35o.m3u8/bEJxFs0f35o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bEJxFs0f35o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259118223", "sha": "e9b39f0f10b9af9d005d19724c7da09346c36512", "translated_description": "", "image_url": "https://img.youtube.com/vi/bEJxFs0f35o/hqdefault.jpg", "youtube_id": "bEJxFs0f35o", "content_kind": "Video", "readable_id": "halogenation-and-ozonolysis-of-alkynes"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows the reactions of alkynes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows the reactions of alkynes.", "x_pos": 0.0, "node_slug": "alkyne-reactions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax711e0019", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions", "extended_slug": "science/organic-chemistry/alkenes-alkynes/alkyne-reactions", "slug": "alkyne-reactions", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "71fdc280bbc5d16952dbc80064231919390d190a", "standalone_title": "Alkyne reactions", "y_pos": 0.0, "current_revision_key": "71fdc280bbc5d16952dbc80064231919390d190a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alkenes-alkynes/synthesis-alkynes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/synthesis-alkynes", "translated_standalone_title": "Synthesis using alkynes", "translated_title": "Synthesis using alkynes", "gplus_url": "", "id": "x557231e4", "old_key_name": "s9dPx9dRAElq4xICy15qJNla_Y6bjdCvRoRErADt", "hide": false, "title": "Synthesis using alkynes", "child_data": [{"kind": "Video", "id": 1259119274}], "children": [{"translated_youtube_id": "Rc1CezZgggM", "relative_url": "/video/synthesis-using-alkynes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/synthesis-using-alkynes", "duration": 709, "translated_title": "Synthesis using alkynes", "translated_description_html": "", "id": "1259119274", "description_html": "", "title": "Synthesis using alkynes", "progress_key": "v1259119274", "edit_slug": "edit/v/1259119274", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/synthesis-using-alkynes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rc1CezZgggM.mp4/Rc1CezZgggM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rc1CezZgggM.mp4/Rc1CezZgggM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rc1CezZgggM.m3u8/Rc1CezZgggM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rc1CezZgggM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259119274", "sha": "384ef0d4a1047d80905cfc7cba97764a41bc4cf8", "translated_description": "", "image_url": "https://img.youtube.com/vi/Rc1CezZgggM/hqdefault.jpg", "youtube_id": "Rc1CezZgggM", "content_kind": "Video", "readable_id": "synthesis-using-alkynes"}], "twitter_url": "", "translated_description": "In this tutorial, Jay demonstrates how to use Dr. Schwartz's organic flowsheet to solve synthesis problems involving alkynes. Always remember, pain is temporary, orgo is forever!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay demonstrates how to use Dr. Schwartz's organic flowsheet to solve synthesis problems involving alkynes. Always remember, pain is temporary, orgo is forever!", "x_pos": 0.0, "node_slug": "synthesis-alkynes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax557231e4", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/synthesis-alkynes", "extended_slug": "science/organic-chemistry/alkenes-alkynes/synthesis-alkynes", "slug": "synthesis-alkynes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "9819dd003668a46050bc668634188852cd56a9c1", "standalone_title": "Synthesis using alkynes", "y_pos": 0.0, "current_revision_key": "9819dd003668a46050bc668634188852cd56a9c1", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "naming alkenes and alkynes, reactions of alkenes and alkynes, synthesis", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "naming alkenes and alkynes, reactions of alkenes and alkynes, synthesis", "x_pos": 0.0, "node_slug": "alkenes-alkynes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax53149848", "topic_page_url": "/science/organic-chemistry/alkenes-alkynes", "extended_slug": "science/organic-chemistry/alkenes-alkynes", "slug": "alkenes-alkynes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3ef893eb022a695581a38d0c36595526739d04f7", "standalone_title": "Alkenes and alkynes", "y_pos": 0.0, "current_revision_key": "3ef893eb022a695581a38d0c36595526739d04f7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides", "translated_standalone_title": "Alcohols, ethers, epoxides, sulfides", "translated_title": "Alcohols, ethers, epoxides, sulfides", "gplus_url": "", "id": "xa3d20bbd", "old_key_name": "_53wPaV5ok2ZrBd8W5iLAzEtqgGhDflAdCmbO7E5", "hide": false, "title": "Alcohols, ethers, epoxides, sulfides", "child_data": [{"kind": "Topic", "id": "x3693a07c"}, {"kind": "Topic", "id": "x01a90d78"}, {"kind": "Topic", "id": "xcea47819"}, {"kind": "Topic", "id": "x9099059d"}, {"kind": "Topic", "id": "xac961822"}, {"kind": "Topic", "id": "xae89457e"}, {"kind": "Topic", "id": "xe7251b21"}, {"kind": "Topic", "id": "xc5be8d3b"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties", "translated_standalone_title": "Alcohol nomenclature and properties", "translated_title": "Alcohol nomenclature and properties", "gplus_url": "", "id": "x3693a07c", "old_key_name": "GnJ60Z2fCW65ypT1zXCxL69PMtRdnJZckytgKJYp", "hide": false, "title": "Alcohol nomenclature and properties", "child_data": [{"kind": "Video", "id": 63}, {"kind": "Video", "id": "x4184407a"}, {"kind": "Video", "id": 64}, {"kind": "Video", "id": 1259122216}, {"kind": "Video", "id": 1259103436}], "children": [{"translated_youtube_id": "nQ7QSV4JRSs", "relative_url": "/video/alcohols", "has_questions": false, "keywords": "naming, alcohols, organic, chemistry", "ka_url": "http://www.khanacademy.org/video/alcohols", "duration": 410, "translated_title": "Alcohols", "translated_description_html": "Naming alcohols", "id": "63", "description_html": "Naming alcohols", "title": "Alcohols", "progress_key": "v63", "edit_slug": "edit/v/63", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Naming alcohols", "extra_properties": null, "node_slug": "v/alcohols", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nQ7QSV4JRSs.mp4/nQ7QSV4JRSs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nQ7QSV4JRSs.mp4/nQ7QSV4JRSs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nQ7QSV4JRSs.m3u8/nQ7QSV4JRSs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nQ7QSV4JRSs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v63", "sha": "b00baa8b8e139ae4379c9caa0eb3e474fd3b247f", "translated_description": "Naming alcohols", "image_url": "https://img.youtube.com/vi/nQ7QSV4JRSs/hqdefault.jpg", "youtube_id": "nQ7QSV4JRSs", "content_kind": "Video", "readable_id": "alcohols"}, {"translated_youtube_id": "LIFHYUGrYqw", "relative_url": "/video/triple-bond-linear", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/triple-bond-linear", "duration": 71, "translated_title": "Triple bonds cause linear configurations", "translated_description_html": "", "id": "x4184407a", "description_html": "", "title": "Triple bonds cause linear configurations", "progress_key": "vx4184407a", "edit_slug": "edit/v/x4184407a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/triple-bond-linear", "deleted": false, "backup_timestamp": "2013-11-22T17:34:36Z", "date_added": "2013-11-22T17:34:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LIFHYUGrYqw.mp4/LIFHYUGrYqw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LIFHYUGrYqw.mp4/LIFHYUGrYqw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LIFHYUGrYqw.m3u8/LIFHYUGrYqw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LIFHYUGrYqw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4184407a", "sha": "6ad5cdca6e94d0d7cc7db1788268291eeaf7f088", "translated_description": "", "image_url": "https://img.youtube.com/vi/LIFHYUGrYqw/hqdefault.jpg", "youtube_id": "LIFHYUGrYqw", "content_kind": "Video", "readable_id": "triple-bond-linear"}, {"translated_youtube_id": "Aa1CMokCch4", "relative_url": "/video/alcohol-properties", "has_questions": false, "keywords": "Alcohol, Properties", "ka_url": "http://www.khanacademy.org/video/alcohol-properties", "duration": 564, "translated_title": "Alcohol properties", "translated_description_html": "Alcohol Properties", "id": "64", "description_html": "Alcohol Properties", "title": "Alcohol properties", "progress_key": "v64", "edit_slug": "edit/v/64", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Alcohol Properties", "extra_properties": null, "node_slug": "v/alcohol-properties", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Aa1CMokCch4.mp4/Aa1CMokCch4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Aa1CMokCch4.mp4/Aa1CMokCch4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Aa1CMokCch4.m3u8/Aa1CMokCch4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Aa1CMokCch4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v64", "sha": "2578dedf1ee181fd8869e030b91c186d202aa803", "translated_description": "Alcohol Properties", "image_url": "https://img.youtube.com/vi/Aa1CMokCch4/hqdefault.jpg", "youtube_id": "Aa1CMokCch4", "content_kind": "Video", "readable_id": "alcohol-properties"}, {"translated_youtube_id": "kFpLDQfEg1E", "relative_url": "/video/alcohol-nomenclature", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alcohol-nomenclature", "duration": 725, "translated_title": "Alcohol nomenclature", "translated_description_html": "", "id": "1259122216", "description_html": "", "title": "Alcohol nomenclature", "progress_key": "v1259122216", "edit_slug": "edit/v/1259122216", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/alcohol-nomenclature", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:03:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kFpLDQfEg1E.mp4/kFpLDQfEg1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kFpLDQfEg1E.mp4/kFpLDQfEg1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kFpLDQfEg1E.m3u8/kFpLDQfEg1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kFpLDQfEg1E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259122216", "sha": "edbf68997fc95cb7d333f4c5766094d4a3b3ccb2", "translated_description": "", "image_url": "https://img.youtube.com/vi/kFpLDQfEg1E/hqdefault.jpg", "youtube_id": "kFpLDQfEg1E", "content_kind": "Video", "readable_id": "alcohol-nomenclature"}, {"translated_youtube_id": "t6qlbcdn_6k", "relative_url": "/video/physical-properties-of-alcohols-and-preparation-of-alkoxides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/physical-properties-of-alcohols-and-preparation-of-alkoxides", "duration": 676, "translated_title": "Physical properties of alcohols and preparation of alkoxides", "translated_description_html": "", "id": "1259103436", "description_html": "", "title": "Physical properties of alcohols and preparation of alkoxides", "progress_key": "v1259103436", "edit_slug": "edit/v/1259103436", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/physical-properties-of-alcohols-and-preparation-of-alkoxides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:04:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t6qlbcdn_6k.mp4/t6qlbcdn_6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t6qlbcdn_6k.mp4/t6qlbcdn_6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t6qlbcdn_6k.m3u8/t6qlbcdn_6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t6qlbcdn_6k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259103436", "sha": "ec5fc300b09cbfa52bfb439246c39f678b586088", "translated_description": "", "image_url": "https://img.youtube.com/vi/t6qlbcdn_6k/hqdefault.jpg", "youtube_id": "t6qlbcdn_6k", "content_kind": "Video", "readable_id": "physical-properties-of-alcohols-and-preparation-of-alkoxides"}], "twitter_url": "", "translated_description": "It can clean a wound or kill your liver. Some religions ban it, others use it in their sacred rites. Some of the most stupid acts humanity every committed were done under its influence. It is even responsible for some of our births. \n\nIn this tutorial, Sal and Jay name alcohols and discuss their properties.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It can clean a wound or kill your liver. Some religions ban it, others use it in their sacred rites. Some of the most stupid acts humanity every committed were done under its influence. It is even responsible for some of our births. \n\nIn this tutorial, Sal and Jay name alcohols and discuss their properties.", "x_pos": 0.0, "node_slug": "alcohol-nomenclature-properties", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3693a07c", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties", "slug": "alcohol-nomenclature-properties", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "779f2cde9b9176f435fd57ae7b0aa736716f3d6b", "standalone_title": "Alcohol nomenclature and properties", "y_pos": 0.0, "current_revision_key": "779f2cde9b9176f435fd57ae7b0aa736716f3d6b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial", "translated_standalone_title": "Synthesis of alcohols", "translated_title": "Synthesis of alcohols", "gplus_url": "", "id": "x01a90d78", "old_key_name": "I0ncY8SQKRg_1ppgGZR67Rd8cWdhcn9Nr0lz3kwA", "hide": false, "title": "Synthesis of alcohols", "child_data": [{"kind": "Video", "id": 1259015283}, {"kind": "Video", "id": 1258994969}, {"kind": "Video", "id": 1259140328}, {"kind": "Video", "id": 1259118288}], "children": [{"translated_youtube_id": "ad5e-jy-eqs", "relative_url": "/video/preparation-of-alcohols-using-nabh4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-alcohols-using-nabh4", "duration": 756, "translated_title": "Preparation of alcohols using NaBH4", "translated_description_html": "", "id": "1259015283", "description_html": "", "title": "Preparation of alcohols using NaBH4", "progress_key": "v1259015283", "edit_slug": "edit/v/1259015283", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/preparation-of-alcohols-using-nabh4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T22:05:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ad5e-jy-eqs.mp4/ad5e-jy-eqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ad5e-jy-eqs.mp4/ad5e-jy-eqs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ad5e-jy-eqs.m3u8/ad5e-jy-eqs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ad5e-jy-eqs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259015283", "sha": "6dcbe1088826f149a9a6c223bb77f10df0600802", "translated_description": "", "image_url": "https://img.youtube.com/vi/ad5e-jy-eqs/hqdefault.jpg", "youtube_id": "ad5e-jy-eqs", "content_kind": "Video", "readable_id": "preparation-of-alcohols-using-nabh4"}, {"translated_youtube_id": "rNJPNlgmhbk", "relative_url": "/video/preparation-of-alcohols-using-lialh4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-alcohols-using-lialh4", "duration": 677, "translated_title": "Preparation of alcohols using LiAlH4", "translated_description_html": "", "id": "1258994969", "description_html": "", "title": "Preparation of alcohols using LiAlH4", "progress_key": "v1258994969", "edit_slug": "edit/v/1258994969", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/preparation-of-alcohols-using-lialh4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T22:05:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rNJPNlgmhbk.mp4/rNJPNlgmhbk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rNJPNlgmhbk.mp4/rNJPNlgmhbk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rNJPNlgmhbk.m3u8/rNJPNlgmhbk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rNJPNlgmhbk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258994969", "sha": "c69cf1096d159302a95b423fa0621175dcfa0505", "translated_description": "", "image_url": "https://img.youtube.com/vi/rNJPNlgmhbk/hqdefault.jpg", "youtube_id": "rNJPNlgmhbk", "content_kind": "Video", "readable_id": "preparation-of-alcohols-using-lialh4"}, {"translated_youtube_id": "itnwiwRpw4w", "relative_url": "/video/synthesis-of-alcohols-using-grignard-reagents-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/synthesis-of-alcohols-using-grignard-reagents-i", "duration": 825, "translated_title": "Synthesis of alcohols using Grignard reagents I", "translated_description_html": "", "id": "1259140328", "description_html": "", "title": "Synthesis of alcohols using Grignard reagents I", "progress_key": "v1259140328", "edit_slug": "edit/v/1259140328", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/synthesis-of-alcohols-using-grignard-reagents-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:06:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/itnwiwRpw4w.mp4/itnwiwRpw4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itnwiwRpw4w.mp4/itnwiwRpw4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/itnwiwRpw4w.m3u8/itnwiwRpw4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=itnwiwRpw4w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259140328", "sha": "fff69a813650c353efd32c3579fc7d39d2922db1", "translated_description": "", "image_url": "https://img.youtube.com/vi/itnwiwRpw4w/hqdefault.jpg", "youtube_id": "itnwiwRpw4w", "content_kind": "Video", "readable_id": "synthesis-of-alcohols-using-grignard-reagents-i"}, {"translated_youtube_id": "DhwgNaRwscQ", "relative_url": "/video/synthesis-of-alcohols-using-grignard-reagents-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/synthesis-of-alcohols-using-grignard-reagents-ii", "duration": 728, "translated_title": "Synthesis of alcohols using Grignard reagents II", "translated_description_html": "", "id": "1259118288", "description_html": "", "title": "Synthesis of alcohols using Grignard reagents II", "progress_key": "v1259118288", "edit_slug": "edit/v/1259118288", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/synthesis-of-alcohols-using-grignard-reagents-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:07:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DhwgNaRwscQ.mp4/DhwgNaRwscQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DhwgNaRwscQ.mp4/DhwgNaRwscQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DhwgNaRwscQ.m3u8/DhwgNaRwscQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DhwgNaRwscQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259118288", "sha": "c87f6621cca49f8b17012a60fe681969b957bbf8", "translated_description": "", "image_url": "https://img.youtube.com/vi/DhwgNaRwscQ/hqdefault.jpg", "youtube_id": "DhwgNaRwscQ", "content_kind": "Video", "readable_id": "synthesis-of-alcohols-using-grignard-reagents-ii"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows how to synthesize alcohols using sodium borohydride, lithium aluminum hydride, and grignard reagents.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows how to synthesize alcohols using sodium borohydride, lithium aluminum hydride, and grignard reagents.", "x_pos": 0.0, "node_slug": "synthesis-alcohols-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax01a90d78", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial", "slug": "synthesis-alcohols-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4ca5a20999e40d50b2051d01666c50d84495cdf9", "standalone_title": "Synthesis of alcohols", "y_pos": 0.0, "current_revision_key": "4ca5a20999e40d50b2051d01666c50d84495cdf9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial", "translated_standalone_title": "Reactions of alcohols", "translated_title": "Reactions of alcohols", "gplus_url": "", "id": "xcea47819", "old_key_name": "eLHVCjDfYSxvcP506yszaKH0MwFXyD-NQgpjn9dJ", "hide": false, "title": "Reactions of alcohols", "child_data": [{"kind": "Video", "id": 1259111574}, {"kind": "Video", "id": 1258832576}, {"kind": "Video", "id": 1426103770}, {"kind": "Video", "id": 1259152103}, {"kind": "Video", "id": 1323985482}], "children": [{"translated_youtube_id": "j-rBgs_p-bg", "relative_url": "/video/oxidation-of-alcohols-i--mechanism-and-oxidation-states", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-of-alcohols-i--mechanism-and-oxidation-states", "duration": 758, "translated_title": "Oxidation of alcohols I: Mechanism and oxidation states", "translated_description_html": "", "id": "1259111574", "description_html": "", "title": "Oxidation of alcohols I: Mechanism and oxidation states", "progress_key": "v1259111574", "edit_slug": "edit/v/1259111574", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/oxidation-of-alcohols-i--mechanism-and-oxidation-states", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:09:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j-rBgs_p-bg.mp4/j-rBgs_p-bg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j-rBgs_p-bg.mp4/j-rBgs_p-bg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j-rBgs_p-bg.m3u8/j-rBgs_p-bg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j-rBgs_p-bg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259111574", "sha": "d674d0614fcb92f53be8c99e06b61e0d7fb8cfac", "translated_description": "", "image_url": "https://img.youtube.com/vi/j-rBgs_p-bg/hqdefault.jpg", "youtube_id": "j-rBgs_p-bg", "content_kind": "Video", "readable_id": "oxidation-of-alcohols-i--mechanism-and-oxidation-states"}, {"translated_youtube_id": "wvwLy9ifmX0", "relative_url": "/video/oxidation-of-alcohols-ii--examples", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-of-alcohols-ii--examples", "duration": 422, "translated_title": "Oxidation of alcohols II: Examples", "translated_description_html": "", "id": "1258832576", "description_html": "", "title": "Oxidation of alcohols II: Examples", "progress_key": "v1258832576", "edit_slug": "edit/v/1258832576", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/oxidation-of-alcohols-ii--examples", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:09:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.mp4/wvwLy9ifmX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.mp4/wvwLy9ifmX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.m3u8/wvwLy9ifmX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wvwLy9ifmX0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258832576", "sha": "0fc74d082fba8d3dc5739bcf78cff69cf0a7a266", "translated_description": "", "image_url": "https://img.youtube.com/vi/wvwLy9ifmX0/hqdefault.jpg", "youtube_id": "wvwLy9ifmX0", "content_kind": "Video", "readable_id": "oxidation-of-alcohols-ii--examples"}, {"translated_youtube_id": "SJ3TKg_3PD8", "relative_url": "/video/biological-redox-reactions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/biological-redox-reactions", "duration": 586, "translated_title": "Biological redox reactions", "translated_description_html": "", "id": "1426103770", "description_html": "", "title": "Biological redox reactions", "progress_key": "v1426103770", "edit_slug": "edit/v/1426103770", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/biological-redox-reactions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-02T16:18:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SJ3TKg_3PD8.mp4/SJ3TKg_3PD8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SJ3TKg_3PD8.mp4/SJ3TKg_3PD8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SJ3TKg_3PD8.m3u8/SJ3TKg_3PD8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SJ3TKg_3PD8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1426103770", "sha": "3b54333cea1a6fd6971170763dc9517a367c2818", "translated_description": "", "image_url": "https://img.youtube.com/vi/SJ3TKg_3PD8/hqdefault.jpg", "youtube_id": "SJ3TKg_3PD8", "content_kind": "Video", "readable_id": "biological-redox-reactions"}, {"translated_youtube_id": "_yvdb_0NGT8", "relative_url": "/video/formation-of-nitrate-esters", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formation-of-nitrate-esters", "duration": 367, "translated_title": "Formation of nitrate esters", "translated_description_html": "", "id": "1259152103", "description_html": "", "title": "Formation of nitrate esters", "progress_key": "v1259152103", "edit_slug": "edit/v/1259152103", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/formation-of-nitrate-esters", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:07:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_yvdb_0NGT8.mp4/_yvdb_0NGT8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_yvdb_0NGT8.mp4/_yvdb_0NGT8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_yvdb_0NGT8.m3u8/_yvdb_0NGT8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_yvdb_0NGT8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259152103", "sha": "e84a33f94b9e4aa32fe64cfadd4e3a45777c05dd", "translated_description": "", "image_url": "https://img.youtube.com/vi/_yvdb_0NGT8/hqdefault.jpg", "youtube_id": "_yvdb_0NGT8", "content_kind": "Video", "readable_id": "formation-of-nitrate-esters"}, {"translated_youtube_id": "LccmkSz-Y-w", "relative_url": "/video/preparation-of-alkyl-halides-from-alcohols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-alkyl-halides-from-alcohols", "duration": 534, "translated_title": "Preparation of alkyl halides from alcohols", "translated_description_html": "", "id": "1323985482", "description_html": "", "title": "Preparation of alkyl halides from alcohols", "progress_key": "v1323985482", "edit_slug": "edit/v/1323985482", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/preparation-of-alkyl-halides-from-alcohols", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-26T17:07:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LccmkSz-Y-w.mp4/LccmkSz-Y-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LccmkSz-Y-w.mp4/LccmkSz-Y-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LccmkSz-Y-w.m3u8/LccmkSz-Y-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LccmkSz-Y-w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1323985482", "sha": "95330b0d44c5d696501bdb58a61645b4b4f188f0", "translated_description": "", "image_url": "https://img.youtube.com/vi/LccmkSz-Y-w/hqdefault.jpg", "youtube_id": "LccmkSz-Y-w", "content_kind": "Video", "readable_id": "preparation-of-alkyl-halides-from-alcohols"}], "twitter_url": "", "translated_description": "In this tutorial, Jay assigns oxidation states to alcohols, shows an oxidation mechanism using the Jones reagent, shows the formation of nitrate esters from alcohols, and demonstrates how to make alkyl halides from alcohols. Biochemical redox reactions are also discussed.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay assigns oxidation states to alcohols, shows an oxidation mechanism using the Jones reagent, shows the formation of nitrate esters from alcohols, and demonstrates how to make alkyl halides from alcohols. Biochemical redox reactions are also discussed.", "x_pos": 0.0, "node_slug": "reactions-alcohols-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcea47819", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial", "slug": "reactions-alcohols-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d47b816a98869b5c0fb7e9d42c0defb140b6799f", "standalone_title": "Reactions of alcohols", "y_pos": 0.0, "current_revision_key": "d47b816a98869b5c0fb7e9d42c0defb140b6799f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers", "translated_standalone_title": "Nomenclature and properties of ethers", "translated_title": "Nomenclature and properties of ethers", "gplus_url": "", "id": "x9099059d", "old_key_name": "nXpu46Xa-NPAvSe6evVpduKIVVW3g7Z_NAJi3lyL", "hide": false, "title": "Nomenclature and properties of ethers", "child_data": [{"kind": "Video", "id": 6022703}, {"kind": "Video", "id": 1258962744}, {"kind": "Video", "id": 1259101394}], "children": [{"translated_youtube_id": "roUGDG1rhPI", "relative_url": "/video/ether-naming-and-introduction", "has_questions": false, "keywords": "Ether, Naming, aprotic, boiling, melting, point", "ka_url": "http://www.khanacademy.org/video/ether-naming-and-introduction", "duration": 659, "translated_title": "Ether naming and introduction", "translated_description_html": "Ether Naming and Introduction", "id": "6022703", "description_html": "Ether Naming and Introduction", "title": "Ether naming and introduction", "progress_key": "v6022703", "edit_slug": "edit/v/6022703", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ether Naming and Introduction", "extra_properties": null, "node_slug": "v/ether-naming-and-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.mp4/roUGDG1rhPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.mp4/roUGDG1rhPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.m3u8/roUGDG1rhPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=roUGDG1rhPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022703", "sha": "9c32f2113c7a7496fad1e23b22202bcd60e11cac", "translated_description": "Ether Naming and Introduction", "image_url": "https://img.youtube.com/vi/roUGDG1rhPI/hqdefault.jpg", "youtube_id": "roUGDG1rhPI", "content_kind": "Video", "readable_id": "ether-naming-and-introduction"}, {"translated_youtube_id": "gW8za1t2nFg", "relative_url": "/video/ether-nomenclature", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ether-nomenclature", "duration": 667, "translated_title": "Ether nomenclature", "translated_description_html": "", "id": "1258962744", "description_html": "", "title": "Ether nomenclature", "progress_key": "v1258962744", "edit_slug": "edit/v/1258962744", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/ether-nomenclature", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:10:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gW8za1t2nFg.mp4/gW8za1t2nFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gW8za1t2nFg.mp4/gW8za1t2nFg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gW8za1t2nFg.m3u8/gW8za1t2nFg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gW8za1t2nFg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258962744", "sha": "72b7f06da3d8415c7105862269d56504deceea7c", "translated_description": "", "image_url": "https://img.youtube.com/vi/gW8za1t2nFg/hqdefault.jpg", "youtube_id": "gW8za1t2nFg", "content_kind": "Video", "readable_id": "ether-nomenclature"}, {"translated_youtube_id": "UlJmX9SLGRw", "relative_url": "/video/properties-of-ethers-and-crown-ethers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/properties-of-ethers-and-crown-ethers", "duration": 611, "translated_title": "Properties of ethers and crown ethers", "translated_description_html": "", "id": "1259101394", "description_html": "", "title": "Properties of ethers and crown ethers", "progress_key": "v1259101394", "edit_slug": "edit/v/1259101394", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/properties-of-ethers-and-crown-ethers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:11:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.mp4/UlJmX9SLGRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.mp4/UlJmX9SLGRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.m3u8/UlJmX9SLGRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UlJmX9SLGRw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259101394", "sha": "605979e7ab544bbcd52efb95bb7b1045cb146107", "translated_description": "", "image_url": "https://img.youtube.com/vi/UlJmX9SLGRw/hqdefault.jpg", "youtube_id": "UlJmX9SLGRw", "content_kind": "Video", "readable_id": "properties-of-ethers-and-crown-ethers"}], "twitter_url": "", "translated_description": "In this tutorial, Sal and Jay name ethers and discuss the physical properties of ethers.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal and Jay name ethers and discuss the physical properties of ethers.", "x_pos": 0.0, "node_slug": "nomenclature-properties-ethers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9099059d", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers", "slug": "nomenclature-properties-ethers", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c953e5f66115e2679ed9d5553bb02d83895460fd", "standalone_title": "Nomenclature and properties of ethers", "y_pos": 0.0, "current_revision_key": "c953e5f66115e2679ed9d5553bb02d83895460fd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers", "translated_standalone_title": "Synthesis and cleavage of ethers", "translated_title": "Synthesis and cleavage of ethers", "gplus_url": "", "id": "xac961822", "old_key_name": "St-PA7AgR1eMRPAnL1ceY_kuVhTwgSXWIr5FiwLL", "hide": false, "title": "Synthesis and cleavage of ethers", "child_data": [{"kind": "Video", "id": 1258839947}, {"kind": "Video", "id": 1259076678}], "children": [{"translated_youtube_id": "X9ypryY7hrQ", "relative_url": "/video/williamson-ether-synthesis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/williamson-ether-synthesis", "duration": 429, "translated_title": "Williamson ether synthesis", "translated_description_html": "", "id": "1258839947", "description_html": "", "title": "Williamson ether synthesis", "progress_key": "v1258839947", "edit_slug": "edit/v/1258839947", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/williamson-ether-synthesis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:11:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.mp4/X9ypryY7hrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.mp4/X9ypryY7hrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.m3u8/X9ypryY7hrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X9ypryY7hrQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258839947", "sha": "1f3deb76a452076ad1a9ce9ffa401e7bd8af076f", "translated_description": "", "image_url": "https://img.youtube.com/vi/X9ypryY7hrQ/hqdefault.jpg", "youtube_id": "X9ypryY7hrQ", "content_kind": "Video", "readable_id": "williamson-ether-synthesis"}, {"translated_youtube_id": "1k6MUeM-pEo", "relative_url": "/video/acidic-cleavage-of-ethers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/acidic-cleavage-of-ethers", "duration": 749, "translated_title": "Acidic cleavage of ethers", "translated_description_html": "", "id": "1259076678", "description_html": "", "title": "Acidic cleavage of ethers", "progress_key": "v1259076678", "edit_slug": "edit/v/1259076678", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/acidic-cleavage-of-ethers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:12:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1k6MUeM-pEo.mp4/1k6MUeM-pEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1k6MUeM-pEo.mp4/1k6MUeM-pEo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1k6MUeM-pEo.m3u8/1k6MUeM-pEo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1k6MUeM-pEo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259076678", "sha": "7bf6322035c4f07a2b1475e0d81bc640acc1a705", "translated_description": "", "image_url": "https://img.youtube.com/vi/1k6MUeM-pEo/hqdefault.jpg", "youtube_id": "1k6MUeM-pEo", "content_kind": "Video", "readable_id": "acidic-cleavage-of-ethers"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows how to synthesize ethers using the Williamson ether synthesis and how to cleave an ether linkage using acid.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows how to synthesize ethers using the Williamson ether synthesis and how to cleave an ether linkage using acid.", "x_pos": 0.0, "node_slug": "synthesis-cleavage-ethers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axac961822", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers", "slug": "synthesis-cleavage-ethers", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ab3af566bf6b34eaad77c7ef0850e4fa39ed4f0c", "standalone_title": "Synthesis and cleavage of ethers", "y_pos": 0.0, "current_revision_key": "ab3af566bf6b34eaad77c7ef0850e4fa39ed4f0c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides", "translated_standalone_title": "Nomenclature and preparation of epoxides", "translated_title": "Nomenclature and preparation of epoxides", "gplus_url": "", "id": "xae89457e", "old_key_name": "82eZCcXRVfDFN2iVZzvG5eLYiC_mOwiJk_-MFCGP", "hide": false, "title": "Nomenclature and preparation of epoxides", "child_data": [{"kind": "Video", "id": 6022704}, {"kind": "Video", "id": 1259001927}, {"kind": "Video", "id": 1259155226}], "children": [{"translated_youtube_id": "5d63YMUxcS4", "relative_url": "/video/cyclic-ethers-and-epoxide-naming", "has_questions": false, "keywords": "Cyclic, ethers, and, epoxide, naming", "ka_url": "http://www.khanacademy.org/video/cyclic-ethers-and-epoxide-naming", "duration": 468, "translated_title": "Cyclic ethers and epoxide naming", "translated_description_html": "Cyclic ethers and epoxide naming", "id": "6022704", "description_html": "Cyclic ethers and epoxide naming", "title": "Cyclic ethers and epoxide naming", "progress_key": "v6022704", "edit_slug": "edit/v/6022704", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cyclic ethers and epoxide naming", "extra_properties": null, "node_slug": "v/cyclic-ethers-and-epoxide-naming", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:48:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5d63YMUxcS4.mp4/5d63YMUxcS4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5d63YMUxcS4.mp4/5d63YMUxcS4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5d63YMUxcS4.m3u8/5d63YMUxcS4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5d63YMUxcS4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022704", "sha": "c2f658532560ddab51b6deb54ac6af37cbc54347", "translated_description": "Cyclic ethers and epoxide naming", "image_url": "https://img.youtube.com/vi/5d63YMUxcS4/hqdefault.jpg", "youtube_id": "5d63YMUxcS4", "content_kind": "Video", "readable_id": "cyclic-ethers-and-epoxide-naming"}, {"translated_youtube_id": "zGO-MlsdmgU", "relative_url": "/video/nomenclature-and-preparation-of-epoxides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nomenclature-and-preparation-of-epoxides", "duration": 515, "translated_title": "Nomenclature and preparation of epoxides", "translated_description_html": "", "id": "1259001927", "description_html": "", "title": "Nomenclature and preparation of epoxides", "progress_key": "v1259001927", "edit_slug": "edit/v/1259001927", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/nomenclature-and-preparation-of-epoxides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T22:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.mp4/zGO-MlsdmgU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.mp4/zGO-MlsdmgU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.m3u8/zGO-MlsdmgU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zGO-MlsdmgU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259001927", "sha": "126dc50a81e2d741a24a448a526607792a26a761", "translated_description": "", "image_url": "https://img.youtube.com/vi/zGO-MlsdmgU/hqdefault.jpg", "youtube_id": "zGO-MlsdmgU", "content_kind": "Video", "readable_id": "nomenclature-and-preparation-of-epoxides"}, {"translated_youtube_id": "E9fw0EU4wpA", "relative_url": "/video/preparation-of-epoxides--stereochemistry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-epoxides--stereochemistry", "duration": 896, "translated_title": "Preparation of epoxides: Stereochemistry", "translated_description_html": "", "id": "1259155226", "description_html": "", "title": "Preparation of epoxides: Stereochemistry", "progress_key": "v1259155226", "edit_slug": "edit/v/1259155226", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/preparation-of-epoxides--stereochemistry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:14:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E9fw0EU4wpA.mp4/E9fw0EU4wpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E9fw0EU4wpA.mp4/E9fw0EU4wpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E9fw0EU4wpA.m3u8/E9fw0EU4wpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E9fw0EU4wpA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259155226", "sha": "1486a0f32f2b898e3ce72e86dc24d30f36d28590", "translated_description": "", "image_url": "https://img.youtube.com/vi/E9fw0EU4wpA/hqdefault.jpg", "youtube_id": "E9fw0EU4wpA", "content_kind": "Video", "readable_id": "preparation-of-epoxides--stereochemistry"}], "twitter_url": "", "translated_description": "In this tutorial, Sal and Jay name epoxides. Jay also shows the preparation of epoxides and includes the stereochemistry of the reaction.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal and Jay name epoxides. Jay also shows the preparation of epoxides and includes the stereochemistry of the reaction.", "x_pos": 0.0, "node_slug": "nomenclature-preparation-epoxides", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axae89457e", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides", "slug": "nomenclature-preparation-epoxides", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "530dd3c3dd86f233435da7c3eb0198e8e7b6e2c0", "standalone_title": "Nomenclature and preparation of epoxides", "y_pos": 0.0, "current_revision_key": "530dd3c3dd86f233435da7c3eb0198e8e7b6e2c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides", "translated_standalone_title": "Ring-opening reactions of epoxides", "translated_title": "Ring-opening reactions of epoxides", "gplus_url": "", "id": "xe7251b21", "old_key_name": "RNoAT8nFGeFrnC4vUcCadj4-ziQ_6GLN02-BjWfQ", "hide": false, "title": "Ring-opening reactions of epoxides", "child_data": [{"kind": "Video", "id": 1259130390}, {"kind": "Video", "id": 1259152148}], "children": [{"translated_youtube_id": "rWfs1hyguaM", "relative_url": "/video/ring-opening-reactions-of-epoxides--strong-nucleophiles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ring-opening-reactions-of-epoxides--strong-nucleophiles", "duration": 847, "translated_title": "Ring-opening reactions of epoxides: Strong nucleophiles", "translated_description_html": "", "id": "1259130390", "description_html": "", "title": "Ring-opening reactions of epoxides: Strong nucleophiles", "progress_key": "v1259130390", "edit_slug": "edit/v/1259130390", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/ring-opening-reactions-of-epoxides--strong-nucleophiles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:14:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rWfs1hyguaM.mp4/rWfs1hyguaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rWfs1hyguaM.mp4/rWfs1hyguaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rWfs1hyguaM.m3u8/rWfs1hyguaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rWfs1hyguaM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259130390", "sha": "7fc65fe68b1ae8bccdbc033a6fc386aa8a2ce752", "translated_description": "", "image_url": "https://img.youtube.com/vi/rWfs1hyguaM/hqdefault.jpg", "youtube_id": "rWfs1hyguaM", "content_kind": "Video", "readable_id": "ring-opening-reactions-of-epoxides--strong-nucleophiles"}, {"translated_youtube_id": "NRsM8kXtT5s", "relative_url": "/video/ring-opening-reactions-of-epoxides--acid-catalyzed", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ring-opening-reactions-of-epoxides--acid-catalyzed", "duration": 522, "translated_title": "Ring opening reactions of epoxides: Acid-catalyzed", "translated_description_html": "", "id": "1259152148", "description_html": "", "title": "Ring opening reactions of epoxides: Acid-catalyzed", "progress_key": "v1259152148", "edit_slug": "edit/v/1259152148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/ring-opening-reactions-of-epoxides--acid-catalyzed", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:16:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NRsM8kXtT5s.mp4/NRsM8kXtT5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NRsM8kXtT5s.mp4/NRsM8kXtT5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NRsM8kXtT5s.m3u8/NRsM8kXtT5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NRsM8kXtT5s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259152148", "sha": "139dd1aab1c7e5383f63138170a1b3bdd6a0764b", "translated_description": "", "image_url": "https://img.youtube.com/vi/NRsM8kXtT5s/hqdefault.jpg", "youtube_id": "NRsM8kXtT5s", "content_kind": "Video", "readable_id": "ring-opening-reactions-of-epoxides--acid-catalyzed"}], "twitter_url": "", "translated_description": "In this tutorial, Sal and Jay show the SN1 and SN2 ring opening reactions of epoxides.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal and Jay show the SN1 and SN2 ring opening reactions of epoxides.", "x_pos": 0.0, "node_slug": "ring-opening-reactions-epoxides", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe7251b21", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides", "slug": "ring-opening-reactions-epoxides", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2c06d41f38023b4c5c0d9ef54b29cc935abb2314", "standalone_title": "Ring-opening reactions of epoxides", "y_pos": 0.0, "current_revision_key": "2c06d41f38023b4c5c0d9ef54b29cc935abb2314", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides", "translated_standalone_title": "Thiols and sulfides", "translated_title": "Thiols and sulfides", "gplus_url": "", "id": "xc5be8d3b", "old_key_name": "7Kpkqr4gRvPG0AOduYVsDVMgtiCskpbQApymj_Cs", "hide": false, "title": "Thiols and sulfides", "child_data": [{"kind": "Video", "id": 1258832595}], "children": [{"translated_youtube_id": "MC8Mc6tSjYI", "relative_url": "/video/preparation-of-sulfides", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-sulfides", "duration": 419, "translated_title": "Preparation of sulfides", "translated_description_html": "", "id": "1258832595", "description_html": "", "title": "Preparation of sulfides", "progress_key": "v1258832595", "edit_slug": "edit/v/1258832595", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/preparation-of-sulfides", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:15:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MC8Mc6tSjYI.mp4/MC8Mc6tSjYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MC8Mc6tSjYI.mp4/MC8Mc6tSjYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MC8Mc6tSjYI.m3u8/MC8Mc6tSjYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MC8Mc6tSjYI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258832595", "sha": "ae88119efba780788069ad74861779f2b6a96820", "translated_description": "", "image_url": "https://img.youtube.com/vi/MC8Mc6tSjYI/hqdefault.jpg", "youtube_id": "MC8Mc6tSjYI", "content_kind": "Video", "readable_id": "preparation-of-sulfides"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows how to prepare sulfides from thiols.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows how to prepare sulfides from thiols.", "x_pos": 0.0, "node_slug": "thiols-sulfides", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc5be8d3b", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides", "slug": "thiols-sulfides", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "fe4df569e46fa0410a5ed374f5f4cbab94caf7d7", "standalone_title": "Thiols and sulfides", "y_pos": 0.0, "current_revision_key": "fe4df569e46fa0410a5ed374f5f4cbab94caf7d7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "alcohols, ethers, epoxides, thiols, sulfides", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "alcohols, ethers, epoxides, thiols, sulfides", "x_pos": 0.0, "node_slug": "alcohols-ethers-epoxides-sulfides", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa3d20bbd", "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides", "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides", "slug": "alcohols-ethers-epoxides-sulfides", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "409fe06611aa424bff73ed58e7c9d606b4c154ee", "standalone_title": "Alcohols, ethers, epoxides, sulfides", "y_pos": 0.0, "current_revision_key": "409fe06611aa424bff73ed58e7c9d606b4c154ee", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory", "translated_standalone_title": "Conjugation, Diels-Alder, and MO theory", "translated_title": "Conjugation, Diels-Alder, and MO theory", "gplus_url": "", "id": "x6b80168b", "old_key_name": "Tw6akoNW-BmkpaLhbwtzw9rGtUDWLmbgBqsjtJXz", "hide": false, "title": "Conjugation, Diels-Alder, and MO theory", "child_data": [{"kind": "Topic", "id": "xf0b31ec2"}, {"kind": "Topic", "id": "x0548dd1a"}, {"kind": "Topic", "id": "x55daede6"}, {"kind": "Topic", "id": "x05634fd1"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes", "translated_standalone_title": "Addition reactions of conjugated dienes", "translated_title": "Addition reactions of conjugated dienes", "gplus_url": "", "id": "xf0b31ec2", "old_key_name": "KwYh3M_lED_ETe2Lh0DnatfiuvehJPkOWamrkPcC", "hide": false, "title": "Addition reactions of conjugated dienes", "child_data": [{"kind": "Video", "id": 1259016307}, {"kind": "Video", "id": 1259164237}, {"kind": "Video", "id": 1259066607}], "children": [{"translated_youtube_id": "Lq6e0qU9Vr4", "relative_url": "/video/addition-reaction-of-conjugated-dienes-i--mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/addition-reaction-of-conjugated-dienes-i--mechanism", "duration": 566, "translated_title": "Addition reaction of conjugated dienes I: Mechanism", "translated_description_html": "", "id": "1259016307", "description_html": "", "title": "Addition reaction of conjugated dienes I: Mechanism", "progress_key": "v1259016307", "edit_slug": "edit/v/1259016307", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/addition-reaction-of-conjugated-dienes-i--mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-12-31T22:17:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lq6e0qU9Vr4.mp4/Lq6e0qU9Vr4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lq6e0qU9Vr4.mp4/Lq6e0qU9Vr4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lq6e0qU9Vr4.m3u8/Lq6e0qU9Vr4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lq6e0qU9Vr4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259016307", "sha": "9133326edbe2500d7f01d428163b1c0d8cb0e099", "translated_description": "", "image_url": "https://img.youtube.com/vi/Lq6e0qU9Vr4/hqdefault.jpg", "youtube_id": "Lq6e0qU9Vr4", "content_kind": "Video", "readable_id": "addition-reaction-of-conjugated-dienes-i--mechanism"}, {"translated_youtube_id": "au8x68HSQ3E", "relative_url": "/video/addition-reaction-of-conjugated-dienes-ii--example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/addition-reaction-of-conjugated-dienes-ii--example", "duration": 604, "translated_title": "Addition reaction of conjugated dienes II: Example", "translated_description_html": "", "id": "1259164237", "description_html": "", "title": "Addition reaction of conjugated dienes II: Example", "progress_key": "v1259164237", "edit_slug": "edit/v/1259164237", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/addition-reaction-of-conjugated-dienes-ii--example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:18:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/au8x68HSQ3E.mp4/au8x68HSQ3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/au8x68HSQ3E.mp4/au8x68HSQ3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/au8x68HSQ3E.m3u8/au8x68HSQ3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=au8x68HSQ3E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259164237", "sha": "a18428e820ac1e6e7afb0ff2c776937dcaba9197", "translated_description": "", "image_url": "https://img.youtube.com/vi/au8x68HSQ3E/hqdefault.jpg", "youtube_id": "au8x68HSQ3E", "content_kind": "Video", "readable_id": "addition-reaction-of-conjugated-dienes-ii--example"}, {"translated_youtube_id": "orm6muAaZsA", "relative_url": "/video/addition-reaction-of-conjugated-dienes-iii--control", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/addition-reaction-of-conjugated-dienes-iii--control", "duration": 643, "translated_title": "Addition reaction of conjugated dienes III: Control", "translated_description_html": "", "id": "1259066607", "description_html": "", "title": "Addition reaction of conjugated dienes III: Control", "progress_key": "v1259066607", "edit_slug": "edit/v/1259066607", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/addition-reaction-of-conjugated-dienes-iii--control", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:19:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/orm6muAaZsA.mp4/orm6muAaZsA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/orm6muAaZsA.mp4/orm6muAaZsA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/orm6muAaZsA.m3u8/orm6muAaZsA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=orm6muAaZsA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259066607", "sha": "51e755badb063fb2987185700489bc61996a5400", "translated_description": "", "image_url": "https://img.youtube.com/vi/orm6muAaZsA/hqdefault.jpg", "youtube_id": "orm6muAaZsA", "content_kind": "Video", "readable_id": "addition-reaction-of-conjugated-dienes-iii--control"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows the possible products for an addition to a conjugated diene and how the end product can be controlled by changing the reaction conditions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows the possible products for an addition to a conjugated diene and how the end product can be controlled by changing the reaction conditions.", "x_pos": 0.0, "node_slug": "addition-reactions-conjugated-dienes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf0b31ec2", "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes", "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes", "slug": "addition-reactions-conjugated-dienes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "df3e0a780344ec353b5d2a6c5e302cc77b3522fe", "standalone_title": "Addition reactions of conjugated dienes", "y_pos": 0.0, "current_revision_key": "df3e0a780344ec353b5d2a6c5e302cc77b3522fe", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction", "translated_standalone_title": "Diels-alder reaction", "translated_title": "Diels-Alder reaction", "gplus_url": "", "id": "x0548dd1a", "old_key_name": "2sg7Q8aQniaEG7hGXmkprggShFKgAs8xf-0WyLZ5", "hide": false, "title": "Diels-Alder reaction", "child_data": [{"kind": "Video", "id": 1259165185}, {"kind": "Video", "id": 1259161278}, {"kind": "Video", "id": 1259173089}, {"kind": "Video", "id": 1259100451}, {"kind": "Video", "id": 1259165229}, {"kind": "Video", "id": 1259060820}, {"kind": "Video", "id": 1258744099}], "children": [{"translated_youtube_id": "NfZgy3tymmI", "relative_url": "/video/diels-alder-i--mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-i--mechanism", "duration": 696, "translated_title": "Diels-Alder I: Mechanism", "translated_description_html": "", "id": "1259165185", "description_html": "", "title": "Diels-Alder I: Mechanism", "progress_key": "v1259165185", "edit_slug": "edit/v/1259165185", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-i--mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:20:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.mp4/NfZgy3tymmI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.mp4/NfZgy3tymmI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.m3u8/NfZgy3tymmI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NfZgy3tymmI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259165185", "sha": "bb597087de9e662875ac01ba8d7bebbd6315ea9f", "translated_description": "", "image_url": "https://img.youtube.com/vi/NfZgy3tymmI/hqdefault.jpg", "youtube_id": "NfZgy3tymmI", "content_kind": "Video", "readable_id": "diels-alder-i--mechanism"}, {"translated_youtube_id": "669H2TyI9oo", "relative_url": "/video/diels-alder-ii--endo-vs-exo", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-ii--endo-vs-exo", "duration": 831, "translated_title": "Diels-Alder II: Endo vs exo", "translated_description_html": "", "id": "1259161278", "description_html": "", "title": "Diels-Alder II: Endo vs exo", "progress_key": "v1259161278", "edit_slug": "edit/v/1259161278", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-ii--endo-vs-exo", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:20:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/669H2TyI9oo.mp4/669H2TyI9oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/669H2TyI9oo.mp4/669H2TyI9oo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/669H2TyI9oo.m3u8/669H2TyI9oo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=669H2TyI9oo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259161278", "sha": "9171ffb3d923125f345a88ca8513d034933ce124", "translated_description": "", "image_url": "https://img.youtube.com/vi/669H2TyI9oo/hqdefault.jpg", "youtube_id": "669H2TyI9oo", "content_kind": "Video", "readable_id": "diels-alder-ii--endo-vs-exo"}, {"translated_youtube_id": "HhNZPOl1-Bo", "relative_url": "/video/diels-alder-iii--stereochemistry-of-dienophile", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-iii--stereochemistry-of-dienophile", "duration": 596, "translated_title": "Diels-Alder III: Stereochemistry of dienophile", "translated_description_html": "", "id": "1259173089", "description_html": "", "title": "Diels-Alder III: Stereochemistry of dienophile", "progress_key": "v1259173089", "edit_slug": "edit/v/1259173089", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-iii--stereochemistry-of-dienophile", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:21:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HhNZPOl1-Bo.mp4/HhNZPOl1-Bo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HhNZPOl1-Bo.mp4/HhNZPOl1-Bo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HhNZPOl1-Bo.m3u8/HhNZPOl1-Bo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HhNZPOl1-Bo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259173089", "sha": "45d26568f3f0ad2597930cf8e42d9fd64fd3e4b0", "translated_description": "", "image_url": "https://img.youtube.com/vi/HhNZPOl1-Bo/hqdefault.jpg", "youtube_id": "HhNZPOl1-Bo", "content_kind": "Video", "readable_id": "diels-alder-iii--stereochemistry-of-dienophile"}, {"translated_youtube_id": "IYiy0UlL8_E", "relative_url": "/video/diels-alder-iv--stereochemistry-of-diene", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-iv--stereochemistry-of-diene", "duration": 823, "translated_title": "Diels-Alder IV: Stereochemistry of diene", "translated_description_html": "", "id": "1259100451", "description_html": "", "title": "Diels-Alder IV: Stereochemistry of diene", "progress_key": "v1259100451", "edit_slug": "edit/v/1259100451", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-iv--stereochemistry-of-diene", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:22:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IYiy0UlL8_E.mp4/IYiy0UlL8_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IYiy0UlL8_E.mp4/IYiy0UlL8_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IYiy0UlL8_E.m3u8/IYiy0UlL8_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IYiy0UlL8_E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259100451", "sha": "276048e08aa9a2717a0953dbe047aac63d02cb1c", "translated_description": "", "image_url": "https://img.youtube.com/vi/IYiy0UlL8_E/hqdefault.jpg", "youtube_id": "IYiy0UlL8_E", "content_kind": "Video", "readable_id": "diels-alder-iv--stereochemistry-of-diene"}, {"translated_youtube_id": "rW6eJHMLCqw", "relative_url": "/video/diels-alder-v--regiochemistry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-v--regiochemistry", "duration": 831, "translated_title": "Diels-Alder V: Regiochemistry", "translated_description_html": "", "id": "1259165229", "description_html": "", "title": "Diels-Alder V: Regiochemistry", "progress_key": "v1259165229", "edit_slug": "edit/v/1259165229", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-v--regiochemistry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T22:23:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rW6eJHMLCqw.mp4/rW6eJHMLCqw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rW6eJHMLCqw.mp4/rW6eJHMLCqw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rW6eJHMLCqw.m3u8/rW6eJHMLCqw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rW6eJHMLCqw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259165229", "sha": "ac32000882ddb73275bec99004ed61f3121763df", "translated_description": "", "image_url": "https://img.youtube.com/vi/rW6eJHMLCqw/hqdefault.jpg", "youtube_id": "rW6eJHMLCqw", "content_kind": "Video", "readable_id": "diels-alder-v--regiochemistry"}, {"translated_youtube_id": "jBE80sA2ciY", "relative_url": "/video/diels-alder-vi--more-regiochemistry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-vi--more-regiochemistry", "duration": 678, "translated_title": "Diels-Alder VI: More regiochemistry", "translated_description_html": "", "id": "1259060820", "description_html": "", "title": "Diels-Alder VI: More regiochemistry", "progress_key": "v1259060820", "edit_slug": "edit/v/1259060820", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-vi--more-regiochemistry", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T22:23:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.mp4/jBE80sA2ciY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.mp4/jBE80sA2ciY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.m3u8/jBE80sA2ciY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jBE80sA2ciY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1259060820", "sha": "278ab7c3498f7662634dd23cb6b01a32890725e9", "translated_description": "", "image_url": "https://img.youtube.com/vi/jBE80sA2ciY/hqdefault.jpg", "youtube_id": "jBE80sA2ciY", "content_kind": "Video", "readable_id": "diels-alder-vi--more-regiochemistry"}, {"translated_youtube_id": "aZnbr8xyT4Q", "relative_url": "/video/diels-alder-vii--intramolecular", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diels-alder-vii--intramolecular", "duration": 735, "translated_title": "Diels-Alder VII: Intramolecular", "translated_description_html": "", "id": "1258744099", "description_html": "", "title": "Diels-Alder VII: Intramolecular", "progress_key": "v1258744099", "edit_slug": "edit/v/1258744099", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/diels-alder-vii--intramolecular", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-12-31T17:19:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aZnbr8xyT4Q.mp4/aZnbr8xyT4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aZnbr8xyT4Q.mp4/aZnbr8xyT4Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aZnbr8xyT4Q.m3u8/aZnbr8xyT4Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aZnbr8xyT4Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258744099", "sha": "e5e7c8686f4a01e76df5f690e0d1e45fd4f057cd", "translated_description": "", "image_url": "https://img.youtube.com/vi/aZnbr8xyT4Q/hqdefault.jpg", "youtube_id": "aZnbr8xyT4Q", "content_kind": "Video", "readable_id": "diels-alder-vii--intramolecular"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows the mechanism, stereochemistry, and regiochemistry for the classic Diels-Alder reaction.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows the mechanism, stereochemistry, and regiochemistry for the classic Diels-Alder reaction.", "x_pos": 0.0, "node_slug": "diels-alder-reaction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0548dd1a", "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction", "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction", "slug": "diels-alder-reaction", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7f3bda19efe76921ae21c0b657ebf7642cc0a48e", "standalone_title": "Diels-alder reaction", "y_pos": 0.0, "current_revision_key": "7f3bda19efe76921ae21c0b657ebf7642cc0a48e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/molecular-orbital-theory", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory/molecular-orbital-theory", "translated_standalone_title": "Molecular orbital theory", "translated_title": "Molecular orbital theory", "gplus_url": "", "id": "x55daede6", "old_key_name": "7bW_jTbmG5yTvj7XAhrb5iznWRtBgAkNRuL-lMuu", "hide": false, "title": "Molecular orbital theory", "child_data": [{"kind": "Video", "id": 1323951404}, {"kind": "Video", "id": 1323275695}, {"kind": "Video", "id": 1323964248}], "children": [{"translated_youtube_id": "b1YtRTke_M0", "relative_url": "/video/intro-to-molecular-orbital--mo--theory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intro-to-molecular-orbital--mo--theory", "duration": 722, "translated_title": "Intro to molecular orbital (mo) theory", "translated_description_html": "", "id": "1323951404", "description_html": "", "title": "Intro to molecular orbital (mo) theory", "progress_key": "v1323951404", "edit_slug": "edit/v/1323951404", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/intro-to-molecular-orbital--mo--theory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-26T17:11:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b1YtRTke_M0.mp4/b1YtRTke_M0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b1YtRTke_M0.mp4/b1YtRTke_M0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b1YtRTke_M0.m3u8/b1YtRTke_M0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b1YtRTke_M0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1323951404", "sha": "2ebbfde15ab63da82e98ad91f17551b478d5331f", "translated_description": "", "image_url": "https://img.youtube.com/vi/b1YtRTke_M0/hqdefault.jpg", "youtube_id": "b1YtRTke_M0", "content_kind": "Video", "readable_id": "intro-to-molecular-orbital--mo--theory"}, {"translated_youtube_id": "CKxxmHOPaLw", "relative_url": "/video/mo-theory-for-butadiene", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mo-theory-for-butadiene", "duration": 685, "translated_title": "MO theory for butadiene", "translated_description_html": "", "id": "1323275695", "description_html": "", "title": "MO theory for butadiene", "progress_key": "v1323275695", "edit_slug": "edit/v/1323275695", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/mo-theory-for-butadiene", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-26T17:11:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CKxxmHOPaLw.mp4/CKxxmHOPaLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CKxxmHOPaLw.mp4/CKxxmHOPaLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CKxxmHOPaLw.m3u8/CKxxmHOPaLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CKxxmHOPaLw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1323275695", "sha": "7e74dac43c8cf970c531396d7300febdcc4e3e4f", "translated_description": "", "image_url": "https://img.youtube.com/vi/CKxxmHOPaLw/hqdefault.jpg", "youtube_id": "CKxxmHOPaLw", "content_kind": "Video", "readable_id": "mo-theory-for-butadiene"}, {"translated_youtube_id": "xq0JmEIxakA", "relative_url": "/video/mo-theory-for-diels-alder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mo-theory-for-diels-alder", "duration": 772, "translated_title": "MO theory for Diels-Alder", "translated_description_html": "", "id": "1323964248", "description_html": "", "title": "MO theory for Diels-Alder", "progress_key": "v1323964248", "edit_slug": "edit/v/1323964248", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/mo-theory-for-diels-alder", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-26T17:14:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xq0JmEIxakA.mp4/xq0JmEIxakA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xq0JmEIxakA.mp4/xq0JmEIxakA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xq0JmEIxakA.m3u8/xq0JmEIxakA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xq0JmEIxakA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1323964248", "sha": "948c74d9337fe50350693172b31a3969b8a28f8f", "translated_description": "", "image_url": "https://img.youtube.com/vi/xq0JmEIxakA/hqdefault.jpg", "youtube_id": "xq0JmEIxakA", "content_kind": "Video", "readable_id": "mo-theory-for-diels-alder"}], "twitter_url": "", "translated_description": "In this tutorial, Jay introduces molecular orbital (MO) theory and shows how MO theory explains the experimental observations of the Diels-Alder reaction.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay introduces molecular orbital (MO) theory and shows how MO theory explains the experimental observations of the Diels-Alder reaction.", "x_pos": 0.0, "node_slug": "molecular-orbital-theory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax55daede6", "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/molecular-orbital-theory", "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/molecular-orbital-theory", "slug": "molecular-orbital-theory", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "60660681044a8f0224b526ed9da273d8d7712369", "standalone_title": "Molecular orbital theory", "y_pos": 0.0, "current_revision_key": "60660681044a8f0224b526ed9da273d8d7712369", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/color-organic-molecules", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory/color-organic-molecules", "translated_standalone_title": "Color in organic molecules", "translated_title": "Color in organic molecules", "gplus_url": "", "id": "x05634fd1", "old_key_name": "fhKyCpIGgcYAy4iBYoKGoEWtMdZXxxUBuQzVRObE", "hide": false, "title": "Color in organic molecules", "child_data": [{"kind": "Video", "id": 1342450017}, {"kind": "Video", "id": 1344177935}, {"kind": "Video", "id": 1366677800}], "children": [{"translated_youtube_id": "irnuIEaqkSA", "relative_url": "/video/intro-to-color-theory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intro-to-color-theory", "duration": 260, "translated_title": "Intro to color theory", "translated_description_html": "", "id": "1342450017", "description_html": "", "title": "Intro to color theory", "progress_key": "v1342450017", "edit_slug": "edit/v/1342450017", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/intro-to-color-theory", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-02T19:11:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/irnuIEaqkSA.mp4/irnuIEaqkSA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/irnuIEaqkSA.mp4/irnuIEaqkSA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/irnuIEaqkSA.m3u8/irnuIEaqkSA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=irnuIEaqkSA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1342450017", "sha": "258155b38a2fd71edc61952553c92aa122c5b96e", "translated_description": "", "image_url": "https://img.youtube.com/vi/irnuIEaqkSA/hqdefault.jpg", "youtube_id": "irnuIEaqkSA", "content_kind": "Video", "readable_id": "intro-to-color-theory"}, {"translated_youtube_id": "rt3aR87SFQI", "relative_url": "/video/conjugation-and-color", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conjugation-and-color", "duration": 523, "translated_title": "Conjugation and color", "translated_description_html": "", "id": "1344177935", "description_html": "", "title": "Conjugation and color", "progress_key": "v1344177935", "edit_slug": "edit/v/1344177935", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/conjugation-and-color", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-02T19:12:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rt3aR87SFQI.mp4/rt3aR87SFQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rt3aR87SFQI.mp4/rt3aR87SFQI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rt3aR87SFQI.m3u8/rt3aR87SFQI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rt3aR87SFQI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1344177935", "sha": "2dc52b5b7aa5698f42ba24e4fcbf08904b8fb5b1", "translated_description": "", "image_url": "https://img.youtube.com/vi/rt3aR87SFQI/hqdefault.jpg", "youtube_id": "rt3aR87SFQI", "content_kind": "Video", "readable_id": "conjugation-and-color"}, {"translated_youtube_id": "YflHfFa4HYc", "relative_url": "/video/color-in-organic-molecules-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/color-in-organic-molecules-1", "duration": 665, "translated_title": "Color in organic molecules", "translated_description_html": "", "id": "1366677800", "description_html": "", "title": "Color in organic molecules", "progress_key": "v1366677800", "edit_slug": "edit/v/1366677800", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/color-in-organic-molecules-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-10T19:17:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YflHfFa4HYc.mp4/YflHfFa4HYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YflHfFa4HYc.mp4/YflHfFa4HYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YflHfFa4HYc.m3u8/YflHfFa4HYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YflHfFa4HYc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1366677800", "sha": "ced517020eb90d36326e1bfb2886d16e1faf148a", "translated_description": "", "image_url": "https://img.youtube.com/vi/YflHfFa4HYc/hqdefault.jpg", "youtube_id": "YflHfFa4HYc", "content_kind": "Video", "readable_id": "color-in-organic-molecules-1"}], "twitter_url": "", "translated_description": "In this tutorial, Jay explains basic color theory and shows how conjugation determines the color of organic molecules. Basic knowledge of MO theory is assumed.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay explains basic color theory and shows how conjugation determines the color of organic molecules. Basic knowledge of MO theory is assumed.", "x_pos": 0.0, "node_slug": "color-organic-molecules", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax05634fd1", "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/color-organic-molecules", "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/color-organic-molecules", "slug": "color-organic-molecules", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "149203cbe57c873108885d63a425b4a0521d6e30", "standalone_title": "Color in organic molecules", "y_pos": 0.0, "current_revision_key": "149203cbe57c873108885d63a425b4a0521d6e30", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "conjugation, conjugated dienes, addition reactions of conjugated dienes, diels-alder reaction, MO theory, color", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "conjugation, conjugated dienes, addition reactions of conjugated dienes, diels-alder reaction, MO theory, color", "x_pos": 0.0, "node_slug": "conjugation-diels-alder-mo-theory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b80168b", "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory", "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory", "slug": "conjugation-diels-alder-mo-theory", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b073d6084906e19622c2d314f3a53303228a7424", "standalone_title": "Conjugation, Diels-Alder, and MO theory", "y_pos": 0.0, "current_revision_key": "b073d6084906e19622c2d314f3a53303228a7424", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds", "translated_standalone_title": "Aromatic compounds", "translated_title": "Aromatic compounds", "gplus_url": "", "id": "xa5a6b96a", "old_key_name": "jFfvobgSIjL0Ge17Gv94KBHsMk0YAaLqFrVnFxMe", "hide": false, "title": "Aromatic compounds", "child_data": [{"kind": "Topic", "id": "x27847dce"}, {"kind": "Topic", "id": "xd6b60133"}, {"kind": "Topic", "id": "x120875e1"}, {"kind": "Topic", "id": "xbe0dda5a"}, {"kind": "Topic", "id": "xd6798616"}, {"kind": "Topic", "id": "x0cc3ca29"}, {"kind": "Topic", "id": "x5f03e23e"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/naming-aromatic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/naming-aromatic", "translated_standalone_title": "Naming benzene derivatives", "translated_title": "Naming benzene derivatives", "gplus_url": "", "id": "x27847dce", "old_key_name": "ePkVK5E3SHIGWuwxrgrnZg93oBMsKD4b0WEUTEFv", "hide": false, "title": "Naming benzene derivatives", "child_data": [{"kind": "Video", "id": 6022712}, {"kind": "Video", "id": 1366475654}], "children": [{"translated_youtube_id": "A5r7wkwDID4", "relative_url": "/video/naming-benzene-derivatives-introduction", "has_questions": false, "keywords": "benzene, toluene, phenol, aniline, benzoic, acid, benzaldehyde", "ka_url": "http://www.khanacademy.org/video/naming-benzene-derivatives-introduction", "duration": 520, "translated_title": "Naming benzene derivatives introduction", "translated_description_html": "Naming Benzene Derivatives Introduction", "id": "6022712", "description_html": "Naming Benzene Derivatives Introduction", "title": "Naming benzene derivatives introduction", "progress_key": "v6022712", "edit_slug": "edit/v/6022712", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Naming Benzene Derivatives Introduction", "extra_properties": null, "node_slug": "v/naming-benzene-derivatives-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:48:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.mp4/A5r7wkwDID4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.mp4/A5r7wkwDID4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.m3u8/A5r7wkwDID4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A5r7wkwDID4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022712", "sha": "db634cfa46f82f28a309f8d10911a019b92f7dc7", "translated_description": "Naming Benzene Derivatives Introduction", "image_url": "https://img.youtube.com/vi/A5r7wkwDID4/hqdefault.jpg", "youtube_id": "A5r7wkwDID4", "content_kind": "Video", "readable_id": "naming-benzene-derivatives-introduction"}, {"translated_youtube_id": "8iwauKeqm2w", "relative_url": "/video/naming-benzene-derivatives", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/naming-benzene-derivatives", "duration": 689, "translated_title": "Naming benzene derivatives", "translated_description_html": "", "id": "1366475654", "description_html": "", "title": "Naming benzene derivatives", "progress_key": "v1366475654", "edit_slug": "edit/v/1366475654", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/naming-benzene-derivatives", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-10T19:19:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8iwauKeqm2w.mp4/8iwauKeqm2w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8iwauKeqm2w.mp4/8iwauKeqm2w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8iwauKeqm2w.m3u8/8iwauKeqm2w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8iwauKeqm2w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1366475654", "sha": "b195180aa3fce424fcbd94f3930351757d60fdac", "translated_description": "", "image_url": "https://img.youtube.com/vi/8iwauKeqm2w/hqdefault.jpg", "youtube_id": "8iwauKeqm2w", "content_kind": "Video", "readable_id": "naming-benzene-derivatives"}], "twitter_url": "", "translated_description": "Would a cyclohexatriene by any other name smell as sweet? In this tutorial, Sal and Jay explain how to name benzene derivatives, the sometimes sweet-smelling cyclic molecules that can be used in the synthesis of explosives and plastics.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Would a cyclohexatriene by any other name smell as sweet? In this tutorial, Sal and Jay explain how to name benzene derivatives, the sometimes sweet-smelling cyclic molecules that can be used in the synthesis of explosives and plastics.", "x_pos": 0.0, "node_slug": "naming-aromatic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax27847dce", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/naming-aromatic", "extended_slug": "science/organic-chemistry/aromatic-compounds/naming-aromatic", "slug": "naming-aromatic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c6fd3630f5491d428b684f1a0514d63726dbd301", "standalone_title": "Naming benzene derivatives", "y_pos": 0.0, "current_revision_key": "c6fd3630f5491d428b684f1a0514d63726dbd301", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/aromatic-stability", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/aromatic-stability", "translated_standalone_title": "Aromatic stability", "translated_title": "Aromatic stability", "gplus_url": "", "id": "xd6b60133", "old_key_name": "j0oQkIFgEgNjFx-Iwr-K-r4jp2g42bac2wo47nQM", "hide": false, "title": "Aromatic stability", "child_data": [{"kind": "Video", "id": "x8ab13dd8"}, {"kind": "Video", "id": 1384499538}, {"kind": "Video", "id": 1404889056}, {"kind": "Video", "id": 1404562000}, {"kind": "Video", "id": 1425619777}, {"kind": "Video", "id": "xdddee18a"}, {"kind": "Video", "id": "xc08355a0"}], "children": [{"translated_youtube_id": "oDigu9YxXUg", "relative_url": "/video/aromatic-stability-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-stability-i", "duration": 358, "translated_title": "Aromatic stability I", "translated_description_html": "The aromaticity of benzene", "id": "x8ab13dd8", "description_html": "The aromaticity of benzene", "title": "Aromatic stability I", "progress_key": "vx8ab13dd8", "edit_slug": "edit/v/x8ab13dd8", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The aromaticity of benzene", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-stability-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-04-06T13:52:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oDigu9YxXUg.mp4/oDigu9YxXUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oDigu9YxXUg.mp4/oDigu9YxXUg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oDigu9YxXUg.m3u8/oDigu9YxXUg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oDigu9YxXUg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8ab13dd8", "sha": "729e2aca9ffa1ee7521b737edc4b535d022e1cd9", "translated_description": "The aromaticity of benzene", "image_url": "https://img.youtube.com/vi/oDigu9YxXUg/hqdefault.jpg", "youtube_id": "oDigu9YxXUg", "content_kind": "Video", "readable_id": "aromatic-stability-i"}, {"translated_youtube_id": "I6wzan4hNc4", "relative_url": "/video/aromatic-stability-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-stability-ii", "duration": 601, "translated_title": "Aromatic stability II", "translated_description_html": "", "id": "1384499538", "description_html": "", "title": "Aromatic stability II", "progress_key": "v1384499538", "edit_slug": "edit/v/1384499538", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-stability-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T17:16:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I6wzan4hNc4.mp4/I6wzan4hNc4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I6wzan4hNc4.mp4/I6wzan4hNc4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I6wzan4hNc4.m3u8/I6wzan4hNc4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I6wzan4hNc4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1384499538", "sha": "0e200721b15e5827d7c0cc3a5b0d7e886026058a", "translated_description": "", "image_url": "https://img.youtube.com/vi/I6wzan4hNc4/hqdefault.jpg", "youtube_id": "I6wzan4hNc4", "content_kind": "Video", "readable_id": "aromatic-stability-ii"}, {"translated_youtube_id": "yg0XJWHPqOA", "relative_url": "/video/aromatic-stability-iii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-stability-iii", "duration": 578, "translated_title": "Aromatic stability III", "translated_description_html": "", "id": "1404889056", "description_html": "", "title": "Aromatic stability III", "progress_key": "v1404889056", "edit_slug": "edit/v/1404889056", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-stability-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T16:34:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yg0XJWHPqOA.mp4/yg0XJWHPqOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yg0XJWHPqOA.mp4/yg0XJWHPqOA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yg0XJWHPqOA.m3u8/yg0XJWHPqOA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yg0XJWHPqOA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1404889056", "sha": "21a6a3463b4b67cfaceb00c299b6b5b5ceeca1bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/yg0XJWHPqOA/hqdefault.jpg", "youtube_id": "yg0XJWHPqOA", "content_kind": "Video", "readable_id": "aromatic-stability-iii"}, {"translated_youtube_id": "BNmOZO9hbb0", "relative_url": "/video/aromatic-stability-iv", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-stability-iv", "duration": 631, "translated_title": "Aromatic stability IV", "translated_description_html": "", "id": "1404562000", "description_html": "", "title": "Aromatic stability IV", "progress_key": "v1404562000", "edit_slug": "edit/v/1404562000", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-stability-iv", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T16:34:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BNmOZO9hbb0.mp4/BNmOZO9hbb0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BNmOZO9hbb0.mp4/BNmOZO9hbb0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BNmOZO9hbb0.m3u8/BNmOZO9hbb0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BNmOZO9hbb0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1404562000", "sha": "567154aaf8f9924fff10a6996d9f32ce8982bfd3", "translated_description": "", "image_url": "https://img.youtube.com/vi/BNmOZO9hbb0/hqdefault.jpg", "youtube_id": "BNmOZO9hbb0", "content_kind": "Video", "readable_id": "aromatic-stability-iv"}, {"translated_youtube_id": "sMrm4g6Aj4Y", "relative_url": "/video/aromatic-stability-v", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-stability-v", "duration": 567, "translated_title": "Aromatic stability V", "translated_description_html": "", "id": "1425619777", "description_html": "", "title": "Aromatic stability V", "progress_key": "v1425619777", "edit_slug": "edit/v/1425619777", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-stability-v", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-02T16:17:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sMrm4g6Aj4Y.mp4/sMrm4g6Aj4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sMrm4g6Aj4Y.mp4/sMrm4g6Aj4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sMrm4g6Aj4Y.m3u8/sMrm4g6Aj4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sMrm4g6Aj4Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1425619777", "sha": "206b4f8af1ec813066bee596ad178a9ccc08a12d", "translated_description": "", "image_url": "https://img.youtube.com/vi/sMrm4g6Aj4Y/hqdefault.jpg", "youtube_id": "sMrm4g6Aj4Y", "content_kind": "Video", "readable_id": "aromatic-stability-v"}, {"translated_youtube_id": "vAW9t5uBr08", "relative_url": "/video/aromatic-heterocycles-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-heterocycles-i", "duration": 707, "translated_title": "Aromatic heterocycles I", "translated_description_html": "The aromaticity of pyridine and pyrimidine.", "id": "xdddee18a", "description_html": "The aromaticity of pyridine and pyrimidine.", "title": "Aromatic heterocycles I", "progress_key": "vxdddee18a", "edit_slug": "edit/v/xdddee18a", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The aromaticity of pyridine and pyrimidine.", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-heterocycles-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-10T01:10:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vAW9t5uBr08.mp4/vAW9t5uBr08.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vAW9t5uBr08.mp4/vAW9t5uBr08.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vAW9t5uBr08.m3u8/vAW9t5uBr08.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vAW9t5uBr08&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdddee18a", "sha": "eff770ab10db97d8e44a8772295e418769150eb0", "translated_description": "The aromaticity of pyridine and pyrimidine.", "image_url": "https://img.youtube.com/vi/vAW9t5uBr08/hqdefault.jpg", "youtube_id": "vAW9t5uBr08", "content_kind": "Video", "readable_id": "aromatic-heterocycles-i"}, {"translated_youtube_id": "wvVdgGTrh-o", "relative_url": "/video/aromatic-heterocycles-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-heterocycles-ii", "duration": 729, "translated_title": "Aromatic heterocycles II", "translated_description_html": "The aromaticity of pyrrole, imidazole, and thiophene.", "id": "xc08355a0", "description_html": "The aromaticity of pyrrole, imidazole, and thiophene.", "title": "Aromatic heterocycles II", "progress_key": "vxc08355a0", "edit_slug": "edit/v/xc08355a0", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The aromaticity of pyrrole, imidazole, and thiophene.", "extra_properties": {"original_url": ""}, "node_slug": "v/aromatic-heterocycles-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-10T01:10:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wvVdgGTrh-o.mp4/wvVdgGTrh-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wvVdgGTrh-o.mp4/wvVdgGTrh-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wvVdgGTrh-o.m3u8/wvVdgGTrh-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wvVdgGTrh-o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc08355a0", "sha": "91f8c16c42125d426309cae922e28d98f11c021c", "translated_description": "The aromaticity of pyrrole, imidazole, and thiophene.", "image_url": "https://img.youtube.com/vi/wvVdgGTrh-o/hqdefault.jpg", "youtube_id": "wvVdgGTrh-o", "content_kind": "Video", "readable_id": "aromatic-heterocycles-ii"}], "twitter_url": "", "translated_description": "In this tutorial, Sal and Jay explain the concept of aromatic stabilization and show how to determine if a compound or an ion exhibits aromaticity. Knowledge of MO theory is assumed.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal and Jay explain the concept of aromatic stabilization and show how to determine if a compound or an ion exhibits aromaticity. Knowledge of MO theory is assumed.", "x_pos": 0.0, "node_slug": "aromatic-stability", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd6b60133", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/aromatic-stability", "extended_slug": "science/organic-chemistry/aromatic-compounds/aromatic-stability", "slug": "aromatic-stability", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2cbf09b22ce4442e3f1681694dd288d329da863d", "standalone_title": "Aromatic stability", "y_pos": 0.0, "current_revision_key": "2cbf09b22ce4442e3f1681694dd288d329da863d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/electrophilic-aromatic-substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/electrophilic-aromatic-substitution", "translated_standalone_title": "Electrophilic Aromatic Substitution", "translated_title": "Electrophilic aromatic substitution", "gplus_url": "", "id": "xbe0dda5a", "old_key_name": null, "hide": false, "title": "Electrophilic aromatic substitution", "child_data": [{"kind": "Video", "id": "xe5146e69"}, {"kind": "Video", "id": "x6d328f7c"}, {"kind": "Video", "id": "x4eb7624c"}, {"kind": "Video", "id": "xcc11fbe4"}, {"kind": "Video", "id": "xf23a2385"}, {"kind": "Video", "id": "x50801d9e"}], "children": [{"translated_youtube_id": "eQzbpL0uWVA", "relative_url": "/video/electrophilic-aromatic-substitution-mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electrophilic-aromatic-substitution-mechanism", "duration": 415, "translated_title": "Electrophilic aromatic substitution mechanism", "translated_description_html": "The general reaction and mechanism of Electrophilic Aromatic Substitution", "id": "xe5146e69", "description_html": "The general reaction and mechanism of Electrophilic Aromatic Substitution", "title": "Electrophilic aromatic substitution mechanism", "progress_key": "vxe5146e69", "edit_slug": "edit/v/xe5146e69", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The general reaction and mechanism of Electrophilic Aromatic Substitution", "extra_properties": {"original_url": ""}, "node_slug": "v/electrophilic-aromatic-substitution-mechanism", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-21T00:16:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eQzbpL0uWVA.mp4/eQzbpL0uWVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eQzbpL0uWVA.mp4/eQzbpL0uWVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eQzbpL0uWVA.m3u8/eQzbpL0uWVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eQzbpL0uWVA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe5146e69", "sha": "40d626e4a2f4eebe1e2a35f9f1b7f5b128c0d8f9", "translated_description": "The general reaction and mechanism of Electrophilic Aromatic Substitution", "image_url": "https://img.youtube.com/vi/eQzbpL0uWVA/hqdefault.jpg", "youtube_id": "eQzbpL0uWVA", "content_kind": "Video", "readable_id": "electrophilic-aromatic-substitution-mechanism"}, {"translated_youtube_id": "3cVSSiuiwsQ", "relative_url": "/video/halogenation-of-benzene-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/halogenation-of-benzene-1", "duration": 520, "translated_title": "Halogenation", "translated_description_html": "The halogenation of benzene", "id": "x6d328f7c", "description_html": "The halogenation of benzene", "title": "Halogenation", "progress_key": "vx6d328f7c", "edit_slug": "edit/v/x6d328f7c", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The halogenation of benzene", "extra_properties": {"original_url": ""}, "node_slug": "v/halogenation-of-benzene-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-25T19:35:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3cVSSiuiwsQ.mp4/3cVSSiuiwsQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3cVSSiuiwsQ.mp4/3cVSSiuiwsQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3cVSSiuiwsQ.m3u8/3cVSSiuiwsQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3cVSSiuiwsQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6d328f7c", "sha": "8e61ccac2a2d0205934f02bb681176b18210d8f9", "translated_description": "The halogenation of benzene", "image_url": "https://img.youtube.com/vi/3cVSSiuiwsQ/hqdefault.jpg", "youtube_id": "3cVSSiuiwsQ", "content_kind": "Video", "readable_id": "halogenation-of-benzene-1"}, {"translated_youtube_id": "rC165FcI4Yg", "relative_url": "/video/nitration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nitration", "duration": 503, "translated_title": "Nitration", "translated_description_html": "Nitration of Benzene to form Nitrobenzene", "id": "x4eb7624c", "description_html": "Nitration of Benzene to form Nitrobenzene", "title": "Nitration", "progress_key": "vx4eb7624c", "edit_slug": "edit/v/x4eb7624c", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Nitration of Benzene to form Nitrobenzene", "extra_properties": {"original_url": ""}, "node_slug": "v/nitration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-06-21T00:16:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rC165FcI4Yg.mp4/rC165FcI4Yg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rC165FcI4Yg.mp4/rC165FcI4Yg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rC165FcI4Yg.m3u8/rC165FcI4Yg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rC165FcI4Yg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4eb7624c", "sha": "e7fb98f5a9db8c36d3b30e71faed58bccd3ea28b", "translated_description": "Nitration of Benzene to form Nitrobenzene", "image_url": "https://img.youtube.com/vi/rC165FcI4Yg/hqdefault.jpg", "youtube_id": "rC165FcI4Yg", "content_kind": "Video", "readable_id": "nitration"}, {"translated_youtube_id": "aKeDUvpfOfI", "relative_url": "/video/sulfonation-benzene", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sulfonation-benzene", "duration": 624, "translated_title": "Sulfonation", "translated_description_html": "Sulfonation of benzene", "id": "xcc11fbe4", "description_html": "Sulfonation of benzene", "title": "Sulfonation", "progress_key": "vxcc11fbe4", "edit_slug": "edit/v/xcc11fbe4", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sulfonation of benzene", "extra_properties": {"original_url": ""}, "node_slug": "v/sulfonation-benzene", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-21T00:16:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aKeDUvpfOfI.mp4/aKeDUvpfOfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aKeDUvpfOfI.mp4/aKeDUvpfOfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aKeDUvpfOfI.m3u8/aKeDUvpfOfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aKeDUvpfOfI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcc11fbe4", "sha": "ac82ee6d3672218c3643f5abf7d836122c870abd", "translated_description": "Sulfonation of benzene", "image_url": "https://img.youtube.com/vi/aKeDUvpfOfI/hqdefault.jpg", "youtube_id": "aKeDUvpfOfI", "content_kind": "Video", "readable_id": "sulfonation-benzene"}, {"translated_youtube_id": "FHptu3tcJnM", "relative_url": "/video/friedel-crafts-alkylation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/friedel-crafts-alkylation", "duration": 823, "translated_title": "Friedel-Crafts alkylation", "translated_description_html": "The mechanism of alkylation", "id": "xf23a2385", "description_html": "The mechanism of alkylation", "title": "Friedel-Crafts alkylation", "progress_key": "vxf23a2385", "edit_slug": "edit/v/xf23a2385", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The mechanism of alkylation", "extra_properties": {"original_url": ""}, "node_slug": "v/friedel-crafts-alkylation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-25T19:35:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FHptu3tcJnM.mp4/FHptu3tcJnM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FHptu3tcJnM.mp4/FHptu3tcJnM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FHptu3tcJnM.m3u8/FHptu3tcJnM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FHptu3tcJnM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf23a2385", "sha": "c179539271a63e1f15d9fd754558efad642aa3e5", "translated_description": "The mechanism of alkylation", "image_url": "https://img.youtube.com/vi/FHptu3tcJnM/hqdefault.jpg", "youtube_id": "FHptu3tcJnM", "content_kind": "Video", "readable_id": "friedel-crafts-alkylation"}, {"translated_youtube_id": "xUFwzPmqt0Y", "relative_url": "/video/friedel-crafts-acylation-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/friedel-crafts-acylation-1", "duration": 552, "translated_title": "Friedel-Crafts acylation", "translated_description_html": "The mechanism of acylation", "id": "x50801d9e", "description_html": "The mechanism of acylation", "title": "Friedel-Crafts acylation", "progress_key": "vx50801d9e", "edit_slug": "edit/v/x50801d9e", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The mechanism of acylation", "extra_properties": {"original_url": ""}, "node_slug": "v/friedel-crafts-acylation-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-25T19:35:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xUFwzPmqt0Y.mp4/xUFwzPmqt0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xUFwzPmqt0Y.mp4/xUFwzPmqt0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xUFwzPmqt0Y.m3u8/xUFwzPmqt0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xUFwzPmqt0Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx50801d9e", "sha": "1efff13970f3261ec922f6c53c27ce42b2976508", "translated_description": "The mechanism of acylation", "image_url": "https://img.youtube.com/vi/xUFwzPmqt0Y/hqdefault.jpg", "youtube_id": "xUFwzPmqt0Y", "content_kind": "Video", "readable_id": "friedel-crafts-acylation-1"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows several electrophilic aromatic substitution reactions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows several electrophilic aromatic substitution reactions.", "x_pos": 0.0, "node_slug": "electrophilic-aromatic-substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbe0dda5a", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/electrophilic-aromatic-substitution", "extended_slug": "science/organic-chemistry/aromatic-compounds/electrophilic-aromatic-substitution", "slug": "electrophilic-aromatic-substitution", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "e10c48773eded44d8969e1aa92b699e6042282cb", "standalone_title": "Electrophilic Aromatic Substitution", "y_pos": 0.0, "current_revision_key": "e10c48773eded44d8969e1aa92b699e6042282cb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/deffect-2013-07-03T14:44:54.851Z", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/deffect-2013-07-03T14:44:54.851Z", "translated_standalone_title": "Directing Effects", "translated_title": "Directing effects", "gplus_url": "", "id": "xd6798616", "old_key_name": null, "hide": false, "title": "Directing effects", "child_data": [{"kind": "Video", "id": "xf77ea11d"}, {"kind": "Video", "id": "x3b0b9f0c"}, {"kind": "Video", "id": "x7903db86"}, {"kind": "Video", "id": "x096c0436"}, {"kind": "Video", "id": "x45932a90"}, {"kind": "Video", "id": "xef0a18eb"}], "children": [{"translated_youtube_id": "i9rfWOAEplk", "relative_url": "/video/ortho-para-directors-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ortho-para-directors-i", "duration": 778, "translated_title": "Ortho-para directors I", "translated_description_html": "Regiochemistry", "id": "xf77ea11d", "description_html": "Regiochemistry", "title": "Ortho-para directors I", "progress_key": "vxf77ea11d", "edit_slug": "edit/v/xf77ea11d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Regiochemistry", "extra_properties": {"original_url": ""}, "node_slug": "v/ortho-para-directors-i", "deleted": false, "backup_timestamp": "2013-09-20T10:49:44Z", "date_added": "2013-06-25T19:35:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i9rfWOAEplk.mp4/i9rfWOAEplk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i9rfWOAEplk.mp4/i9rfWOAEplk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i9rfWOAEplk.m3u8/i9rfWOAEplk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i9rfWOAEplk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf77ea11d", "sha": "fc7e83a8d7213900a745cfa8266cc541237e7614", "translated_description": "Regiochemistry", "image_url": "https://img.youtube.com/vi/i9rfWOAEplk/hqdefault.jpg", "youtube_id": "i9rfWOAEplk", "content_kind": "Video", "readable_id": "ortho-para-directors-i"}, {"translated_youtube_id": "KM_maukQebY", "relative_url": "/video/ortho-para-directors-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ortho-para-directors-ii", "duration": 518, "translated_title": "Ortho-para directors II", "translated_description_html": "Strong Activators", "id": "x3b0b9f0c", "description_html": "Strong Activators", "title": "Ortho-para directors II", "progress_key": "vx3b0b9f0c", "edit_slug": "edit/v/x3b0b9f0c", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Strong Activators", "extra_properties": {"original_url": ""}, "node_slug": "v/ortho-para-directors-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-26T22:17:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KM_maukQebY.mp4/KM_maukQebY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KM_maukQebY.mp4/KM_maukQebY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KM_maukQebY.m3u8/KM_maukQebY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KM_maukQebY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3b0b9f0c", "sha": "b975d191afdfdbe62cbfd727a173b6327d90af79", "translated_description": "Strong Activators", "image_url": "https://img.youtube.com/vi/KM_maukQebY/hqdefault.jpg", "youtube_id": "KM_maukQebY", "content_kind": "Video", "readable_id": "ortho-para-directors-ii"}, {"translated_youtube_id": "SFd8mcpP3TU", "relative_url": "/video/ortho-para-directors-iii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ortho-para-directors-iii", "duration": 577, "translated_title": "Ortho-para directors III", "translated_description_html": "Moderate and weak activation, weak deactivation", "id": "x7903db86", "description_html": "Moderate and weak activation, weak deactivation", "title": "Ortho-para directors III", "progress_key": "vx7903db86", "edit_slug": "edit/v/x7903db86", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Moderate and weak activation, weak deactivation", "extra_properties": {"original_url": ""}, "node_slug": "v/ortho-para-directors-iii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-06-26T22:17:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SFd8mcpP3TU.mp4/SFd8mcpP3TU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SFd8mcpP3TU.mp4/SFd8mcpP3TU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SFd8mcpP3TU.m3u8/SFd8mcpP3TU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SFd8mcpP3TU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7903db86", "sha": "46179e9a40b26a9b8f027e3074ca6a4d285738a4", "translated_description": "Moderate and weak activation, weak deactivation", "image_url": "https://img.youtube.com/vi/SFd8mcpP3TU/hqdefault.jpg", "youtube_id": "SFd8mcpP3TU", "content_kind": "Video", "readable_id": "ortho-para-directors-iii"}, {"translated_youtube_id": "c547u94QRFU", "relative_url": "/video/meta-directors-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/meta-directors-i", "duration": 646, "translated_title": "Meta directors I", "translated_description_html": "Regiochemistry", "id": "x096c0436", "description_html": "Regiochemistry", "title": "Meta directors I", "progress_key": "vx096c0436", "edit_slug": "edit/v/x096c0436", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Regiochemistry", "extra_properties": {"original_url": ""}, "node_slug": "v/meta-directors-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T20:00:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c547u94QRFU.mp4/c547u94QRFU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c547u94QRFU.mp4/c547u94QRFU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c547u94QRFU.m3u8/c547u94QRFU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c547u94QRFU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx096c0436", "sha": "1383cfd8f9d7f2d78d08bdd5cc9ee727eacc0db1", "translated_description": "Regiochemistry", "image_url": "https://img.youtube.com/vi/c547u94QRFU/hqdefault.jpg", "youtube_id": "c547u94QRFU", "content_kind": "Video", "readable_id": "meta-directors-i"}, {"translated_youtube_id": "XUT7zEffaTY", "relative_url": "/video/meta-directors-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/meta-directors-ii", "duration": 461, "translated_title": "Meta directors II", "translated_description_html": "Inductive and Resonance effects", "id": "x45932a90", "description_html": "Inductive and Resonance effects", "title": "Meta directors II", "progress_key": "vx45932a90", "edit_slug": "edit/v/x45932a90", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inductive and Resonance effects", "extra_properties": {"original_url": ""}, "node_slug": "v/meta-directors-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-03T20:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XUT7zEffaTY.mp4/XUT7zEffaTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XUT7zEffaTY.mp4/XUT7zEffaTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XUT7zEffaTY.m3u8/XUT7zEffaTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XUT7zEffaTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx45932a90", "sha": "3186ca0d88151b2fbaec9e14a903d722cf74e484", "translated_description": "Inductive and Resonance effects", "image_url": "https://img.youtube.com/vi/XUT7zEffaTY/hqdefault.jpg", "youtube_id": "XUT7zEffaTY", "content_kind": "Video", "readable_id": "meta-directors-ii"}, {"translated_youtube_id": "iF-f2-KSw6E", "relative_url": "/video/multiple-substituents", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/multiple-substituents", "duration": 395, "translated_title": "Multiple substituents", "translated_description_html": "The directing effects of substituents on a benzene ring", "id": "xef0a18eb", "description_html": "The directing effects of substituents on a benzene ring", "title": "Multiple substituents", "progress_key": "vxef0a18eb", "edit_slug": "edit/v/xef0a18eb", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The directing effects of substituents on a benzene ring", "extra_properties": {"original_url": ""}, "node_slug": "v/multiple-substituents", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-09T14:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iF-f2-KSw6E.mp4/iF-f2-KSw6E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iF-f2-KSw6E.mp4/iF-f2-KSw6E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iF-f2-KSw6E.m3u8/iF-f2-KSw6E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iF-f2-KSw6E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxef0a18eb", "sha": "5af2ab4b207f0c1a51e285a86ff207082256541e", "translated_description": "The directing effects of substituents on a benzene ring", "image_url": "https://img.youtube.com/vi/iF-f2-KSw6E/hqdefault.jpg", "youtube_id": "iF-f2-KSw6E", "content_kind": "Video", "readable_id": "multiple-substituents"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows you the directing effects of substituents on a benzene ring. Knowledge of Electrophilic Aromatic Substitution reactions is assumed. ", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows you the directing effects of substituents on a benzene ring. Knowledge of Electrophilic Aromatic Substitution reactions is assumed. ", "x_pos": 0.0, "node_slug": "deffect-2013-07-03T14:44:54.851Z", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd6798616", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/deffect-2013-07-03T14:44:54.851Z", "extended_slug": "science/organic-chemistry/aromatic-compounds/deffect-2013-07-03T14:44:54.851Z", "slug": "deffect-2013-07-03T14:44:54.851Z", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f5ab785e5a9fda874836ebf83668045263fffc34", "standalone_title": "Directing Effects", "y_pos": 0.0, "current_revision_key": "f5ab785e5a9fda874836ebf83668045263fffc34", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/other-reactions-and-synthesis", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/other-reactions-and-synthesis", "translated_standalone_title": "Other Reactions and Synthesis", "translated_title": "Other reactions and synthesis", "gplus_url": "", "id": "x0cc3ca29", "old_key_name": null, "hide": false, "title": "Other reactions and synthesis", "child_data": [{"kind": "Video", "id": "x4e04fccf"}, {"kind": "Video", "id": "x33a50c3d"}, {"kind": "Video", "id": "x739b5ccc"}, {"kind": "Video", "id": "x91dfd8db"}, {"kind": "Video", "id": "xf49d2591"}], "children": [{"translated_youtube_id": "p4M2q1t_Up8", "relative_url": "/video/birch-reduction-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/birch-reduction-i", "duration": 429, "translated_title": "Birch reduction I", "translated_description_html": "The mechanism of the Birch Reduction", "id": "x4e04fccf", "description_html": "The mechanism of the Birch Reduction", "title": "Birch reduction I", "progress_key": "vx4e04fccf", "edit_slug": "edit/v/x4e04fccf", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The mechanism of the Birch Reduction", "extra_properties": {"original_url": ""}, "node_slug": "v/birch-reduction-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-09T14:20:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p4M2q1t_Up8.mp4/p4M2q1t_Up8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p4M2q1t_Up8.mp4/p4M2q1t_Up8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p4M2q1t_Up8.m3u8/p4M2q1t_Up8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p4M2q1t_Up8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4e04fccf", "sha": "5fb25dadfb5e08f7e6bb7905645a66e77976cb60", "translated_description": "The mechanism of the Birch Reduction", "image_url": "https://img.youtube.com/vi/p4M2q1t_Up8/hqdefault.jpg", "youtube_id": "p4M2q1t_Up8", "content_kind": "Video", "readable_id": "birch-reduction-i"}, {"translated_youtube_id": "dzjkh9K5Y8o", "relative_url": "/video/birch-reduction-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/birch-reduction-ii", "duration": 739, "translated_title": "Birch reduction II", "translated_description_html": "The effect of electron-withdrawing and electron-donating groups", "id": "x33a50c3d", "description_html": "The effect of electron-withdrawing and electron-donating groups", "title": "Birch reduction II", "progress_key": "vx33a50c3d", "edit_slug": "edit/v/x33a50c3d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The effect of electron-withdrawing and electron-donating groups", "extra_properties": {"original_url": ""}, "node_slug": "v/birch-reduction-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-09T14:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dzjkh9K5Y8o.mp4/dzjkh9K5Y8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dzjkh9K5Y8o.mp4/dzjkh9K5Y8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dzjkh9K5Y8o.m3u8/dzjkh9K5Y8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dzjkh9K5Y8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx33a50c3d", "sha": "64f71e8b792c9093d2b2f771338332918e946976", "translated_description": "The effect of electron-withdrawing and electron-donating groups", "image_url": "https://img.youtube.com/vi/dzjkh9K5Y8o/hqdefault.jpg", "youtube_id": "dzjkh9K5Y8o", "content_kind": "Video", "readable_id": "birch-reduction-ii"}, {"translated_youtube_id": "GonTjrX5PjA", "relative_url": "/video/reactions-at-the-benzylic-position", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reactions-at-the-benzylic-position", "duration": 612, "translated_title": "Reactions at the benzylic position", "translated_description_html": "Free radical bromination, nucleophilic substitution, oxidation", "id": "x739b5ccc", "description_html": "Free radical bromination, nucleophilic substitution, oxidation", "title": "Reactions at the benzylic position", "progress_key": "vx739b5ccc", "edit_slug": "edit/v/x739b5ccc", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Free radical bromination, nucleophilic substitution, oxidation", "extra_properties": {"original_url": ""}, "node_slug": "v/reactions-at-the-benzylic-position", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-07-09T14:20:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GonTjrX5PjA.mp4/GonTjrX5PjA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GonTjrX5PjA.mp4/GonTjrX5PjA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GonTjrX5PjA.m3u8/GonTjrX5PjA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GonTjrX5PjA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx739b5ccc", "sha": "bcd76444186b6f1107e023ad67e9b74e2271b6e1", "translated_description": "Free radical bromination, nucleophilic substitution, oxidation", "image_url": "https://img.youtube.com/vi/GonTjrX5PjA/hqdefault.jpg", "youtube_id": "GonTjrX5PjA", "content_kind": "Video", "readable_id": "reactions-at-the-benzylic-position"}, {"translated_youtube_id": "K4RE-6AolEw", "relative_url": "/video/synthesis-of-substituted-benzene-rings-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/synthesis-of-substituted-benzene-rings-i", "duration": 460, "translated_title": "Synthesis of substituted benzene rings I", "translated_description_html": "Synthesis practice problems", "id": "x91dfd8db", "description_html": "Synthesis practice problems", "title": "Synthesis of substituted benzene rings I", "progress_key": "vx91dfd8db", "edit_slug": "edit/v/x91dfd8db", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Synthesis practice problems", "extra_properties": {"original_url": ""}, "node_slug": "v/synthesis-of-substituted-benzene-rings-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-07-09T14:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K4RE-6AolEw.mp4/K4RE-6AolEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K4RE-6AolEw.mp4/K4RE-6AolEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K4RE-6AolEw.m3u8/K4RE-6AolEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K4RE-6AolEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx91dfd8db", "sha": "86029da0d689768f576d52e9a1dfe30ad6433251", "translated_description": "Synthesis practice problems", "image_url": "https://img.youtube.com/vi/K4RE-6AolEw/hqdefault.jpg", "youtube_id": "K4RE-6AolEw", "content_kind": "Video", "readable_id": "synthesis-of-substituted-benzene-rings-i"}, {"translated_youtube_id": "b9NZvAhvIwQ", "relative_url": "/video/synthesis-of-substituted-benzene-rings-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/synthesis-of-substituted-benzene-rings-ii", "duration": 506, "translated_title": "Synthesis of substituted benzene rings II", "translated_description_html": "Synthesis practice problems", "id": "xf49d2591", "description_html": "Synthesis practice problems", "title": "Synthesis of substituted benzene rings II", "progress_key": "vxf49d2591", "edit_slug": "edit/v/xf49d2591", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Synthesis practice problems", "extra_properties": {"original_url": ""}, "node_slug": "v/synthesis-of-substituted-benzene-rings-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-10T12:16:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b9NZvAhvIwQ.mp4/b9NZvAhvIwQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b9NZvAhvIwQ.mp4/b9NZvAhvIwQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b9NZvAhvIwQ.m3u8/b9NZvAhvIwQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b9NZvAhvIwQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf49d2591", "sha": "71a5803876a72a59589db6930c06f938c10fc8a6", "translated_description": "Synthesis practice problems", "image_url": "https://img.youtube.com/vi/b9NZvAhvIwQ/hqdefault.jpg", "youtube_id": "b9NZvAhvIwQ", "content_kind": "Video", "readable_id": "synthesis-of-substituted-benzene-rings-ii"}], "twitter_url": "", "translated_description": "In this tutorial, Jay covers a few more reactions of benzene derivatives and also shows how to approach the synthesis of substituted benzene rings.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay covers a few more reactions of benzene derivatives and also shows how to approach the synthesis of substituted benzene rings.", "x_pos": 0.0, "node_slug": "other-reactions-and-synthesis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0cc3ca29", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/other-reactions-and-synthesis", "extended_slug": "science/organic-chemistry/aromatic-compounds/other-reactions-and-synthesis", "slug": "other-reactions-and-synthesis", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "281d67c3cbe448e032972195474acc4bbf7ba1f1", "standalone_title": "Other Reactions and Synthesis", "y_pos": 0.0, "current_revision_key": "281d67c3cbe448e032972195474acc4bbf7ba1f1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aromatic-compounds/nucleophilic-aromatic-substitution", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/nucleophilic-aromatic-substitution", "translated_standalone_title": "Nucleophilic Aromatic Substitution", "translated_title": "Nucleophilic aromatic substitution", "gplus_url": "", "id": "x5f03e23e", "old_key_name": null, "hide": false, "title": "Nucleophilic aromatic substitution", "child_data": [{"kind": "Video", "id": "xae46f3e4"}, {"kind": "Video", "id": "xe0a21ce8"}], "children": [{"translated_youtube_id": "6xy02bQS2Zg", "relative_url": "/video/nucleophilic-aromatic-substitution-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nucleophilic-aromatic-substitution-i", "duration": 587, "translated_title": "Nucleophilic aromatic substitution I", "translated_description_html": "The addition-elimination mechanism", "id": "xae46f3e4", "description_html": "The addition-elimination mechanism", "title": "Nucleophilic aromatic substitution I", "progress_key": "vxae46f3e4", "edit_slug": "edit/v/xae46f3e4", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The addition-elimination mechanism", "extra_properties": {"original_url": ""}, "node_slug": "v/nucleophilic-aromatic-substitution-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-11T18:09:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6xy02bQS2Zg.mp4/6xy02bQS2Zg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6xy02bQS2Zg.mp4/6xy02bQS2Zg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6xy02bQS2Zg.m3u8/6xy02bQS2Zg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6xy02bQS2Zg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxae46f3e4", "sha": "d78017c4067c5ab36b9eae37063a00f5534692ee", "translated_description": "The addition-elimination mechanism", "image_url": "https://img.youtube.com/vi/6xy02bQS2Zg/hqdefault.jpg", "youtube_id": "6xy02bQS2Zg", "content_kind": "Video", "readable_id": "nucleophilic-aromatic-substitution-i"}, {"translated_youtube_id": "mMHOM2qaRaE", "relative_url": "/video/nucleophilic-aromatic-substitution-ii", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nucleophilic-aromatic-substitution-ii", "duration": 705, "translated_title": "Nucleophilic aromatic substitution II", "translated_description_html": "The elimination-addition mechanism", "id": "xe0a21ce8", "description_html": "The elimination-addition mechanism", "title": "Nucleophilic aromatic substitution II", "progress_key": "vxe0a21ce8", "edit_slug": "edit/v/xe0a21ce8", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The elimination-addition mechanism", "extra_properties": {"original_url": ""}, "node_slug": "v/nucleophilic-aromatic-substitution-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-11T18:09:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mMHOM2qaRaE.mp4/mMHOM2qaRaE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mMHOM2qaRaE.mp4/mMHOM2qaRaE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mMHOM2qaRaE.m3u8/mMHOM2qaRaE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mMHOM2qaRaE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe0a21ce8", "sha": "84727cc9321892873e75a7daf532600e3014886d", "translated_description": "The elimination-addition mechanism", "image_url": "https://img.youtube.com/vi/mMHOM2qaRaE/hqdefault.jpg", "youtube_id": "mMHOM2qaRaE", "content_kind": "Video", "readable_id": "nucleophilic-aromatic-substitution-ii"}], "twitter_url": "", "translated_description": "In this tutorial, Jay shows the addition-elimination mechanism and the elimination-addition mechanism.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Jay shows the addition-elimination mechanism and the elimination-addition mechanism.", "x_pos": 0.0, "node_slug": "nucleophilic-aromatic-substitution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5f03e23e", "topic_page_url": "/science/organic-chemistry/aromatic-compounds/nucleophilic-aromatic-substitution", "extended_slug": "science/organic-chemistry/aromatic-compounds/nucleophilic-aromatic-substitution", "slug": "nucleophilic-aromatic-substitution", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0435ee275d01b391ca7994867da9970fb4851ff2", "standalone_title": "Nucleophilic Aromatic Substitution", "y_pos": 0.0, "current_revision_key": "0435ee275d01b391ca7994867da9970fb4851ff2", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "aromatic compounds, naming derivatives of benzene, electrophilic aromatic substitution reactions", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "aromatic compounds, naming derivatives of benzene, electrophilic aromatic substitution reactions", "x_pos": 0.0, "node_slug": "aromatic-compounds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa5a6b96a", "topic_page_url": "/science/organic-chemistry/aromatic-compounds", "extended_slug": "science/organic-chemistry/aromatic-compounds", "slug": "aromatic-compounds", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1af87454d3e154da0cb7ddade22e9f485e11d015", "standalone_title": "Aromatic compounds", "y_pos": 0.0, "current_revision_key": "1af87454d3e154da0cb7ddade22e9f485e11d015", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aldehydes-ketones", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones", "translated_standalone_title": "Aldehydes and ketones", "translated_title": "Aldehydes and ketones", "gplus_url": "", "id": "x550a9280", "old_key_name": "8TcIwZRMG3KdjQA6znal3d64-FaE91ZGzJM71LkC", "hide": false, "title": "Aldehydes and ketones", "child_data": [{"kind": "Topic", "id": "x39e355dc"}, {"kind": "Topic", "id": "x0607b4a1"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone", "translated_standalone_title": "Nomenclature of aldehydes and ketones", "translated_title": "Nomenclature of aldehydes and ketones", "gplus_url": "", "id": "x39e355dc", "old_key_name": "Xo7SN4LHGjCXF-erdyUop38KMo09vqqISBg23Cxb", "hide": false, "title": "Nomenclature of aldehydes and ketones", "child_data": [{"kind": "Video", "id": 6022765}, {"kind": "Video", "id": 6022766}], "children": [{"translated_youtube_id": "oeyBfrx5RJY", "relative_url": "/video/aldehyde-introduction", "has_questions": false, "keywords": "aldehyde, formaldehyde, acetalaldehyde, benzaldehyde, cinnamaldehyde", "ka_url": "http://www.khanacademy.org/video/aldehyde-introduction", "duration": 468, "translated_title": "Aldehyde introduction", "translated_description_html": "Aldehyde introduction", "id": "6022765", "description_html": "Aldehyde introduction", "title": "Aldehyde introduction", "progress_key": "v6022765", "edit_slug": "edit/v/6022765", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Aldehyde introduction", "extra_properties": null, "node_slug": "v/aldehyde-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oeyBfrx5RJY.mp4/oeyBfrx5RJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oeyBfrx5RJY.mp4/oeyBfrx5RJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oeyBfrx5RJY.m3u8/oeyBfrx5RJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oeyBfrx5RJY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022765", "sha": "5e8bbdbb3ed603e918dac03e240e687997a82691", "translated_description": "Aldehyde introduction", "image_url": "https://img.youtube.com/vi/oeyBfrx5RJY/hqdefault.jpg", "youtube_id": "oeyBfrx5RJY", "content_kind": "Video", "readable_id": "aldehyde-introduction"}, {"translated_youtube_id": "wD15pD5pCt4", "relative_url": "/video/ketone-naming", "has_questions": false, "keywords": "Ketone, Naming, Acetone", "ka_url": "http://www.khanacademy.org/video/ketone-naming", "duration": 524, "translated_title": "Ketone naming", "translated_description_html": "Ketone Naming", "id": "6022766", "description_html": "Ketone Naming", "title": "Ketone naming", "progress_key": "v6022766", "edit_slug": "edit/v/6022766", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ketone Naming", "extra_properties": null, "node_slug": "v/ketone-naming", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:48:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wD15pD5pCt4.mp4/wD15pD5pCt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wD15pD5pCt4.mp4/wD15pD5pCt4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wD15pD5pCt4.m3u8/wD15pD5pCt4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wD15pD5pCt4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022766", "sha": "f5048d77a3b5d418895d3c0e2784ab546f70f702", "translated_description": "Ketone Naming", "image_url": "https://img.youtube.com/vi/wD15pD5pCt4/hqdefault.jpg", "youtube_id": "wD15pD5pCt4", "content_kind": "Video", "readable_id": "ketone-naming"}], "twitter_url": "", "translated_description": "In this tutorial, Sal names aldehydes and ketones.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal names aldehydes and ketones.", "x_pos": 0.0, "node_slug": "nomenclature-aldehyde-ketone", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax39e355dc", "topic_page_url": "/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone", "extended_slug": "science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone", "slug": "nomenclature-aldehyde-ketone", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6556216b39967aa4e15489b6392c171c48945a9d", "standalone_title": "Nomenclature of aldehydes and ketones", "y_pos": 0.0, "current_revision_key": "6556216b39967aa4e15489b6392c171c48945a9d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "nomenclature and reactions of aldehydes and ketones", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "nomenclature and reactions of aldehydes and ketones", "x_pos": 0.0, "node_slug": "aldehydes-ketones", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax550a9280", "topic_page_url": "/science/organic-chemistry/aldehydes-ketones", "extended_slug": "science/organic-chemistry/aldehydes-ketones", "slug": "aldehydes-ketones", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4861612cf60b360fa654d212f0aeae22d2bb7f5f", "standalone_title": "Aldehydes and ketones", "y_pos": 0.0, "current_revision_key": "4861612cf60b360fa654d212f0aeae22d2bb7f5f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/carboxylic-acids-derivatives", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives", "translated_standalone_title": "Carboxylic acids and derivatives", "translated_title": "Carboxylic acids and derivatives", "gplus_url": "", "id": "xc8b79fc3", "old_key_name": "73CMt7aKhWZ54f4V78g3y794DwWPPxN_BbXAblrD", "hide": false, "title": "Carboxylic acids and derivatives", "child_data": [{"kind": "Topic", "id": "x1e9a4477"}, {"kind": "Topic", "id": "xf50b3adf"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal", "translated_standalone_title": "Naming carboxylic acids", "translated_title": "Naming carboxylic acids", "gplus_url": "", "id": "x1e9a4477", "old_key_name": "SMqf2GvNtI-GRrx-VKLrKXAyx2JRMX0BrfU-e0j6", "hide": false, "title": "Naming carboxylic acids", "child_data": [{"kind": "Video", "id": 6022770}, {"kind": "Video", "id": 6022771}], "children": [{"translated_youtube_id": "xheOq0XZ-so", "relative_url": "/video/carboxlic-acid-introduction", "has_questions": false, "keywords": "Carboxlic, Acid, Introduction, formic, acetic, oxalic", "ka_url": "http://www.khanacademy.org/video/carboxlic-acid-introduction", "duration": 531, "translated_title": "Carboxlic acid introduction", "translated_description_html": "Carboxlic Acid Introduction", "id": "6022770", "description_html": "Carboxlic Acid Introduction", "title": "Carboxlic acid introduction", "progress_key": "v6022770", "edit_slug": "edit/v/6022770", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carboxlic Acid Introduction", "extra_properties": null, "node_slug": "v/carboxlic-acid-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:49:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xheOq0XZ-so.mp4/xheOq0XZ-so.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xheOq0XZ-so.mp4/xheOq0XZ-so.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xheOq0XZ-so.m3u8/xheOq0XZ-so.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xheOq0XZ-so&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022770", "sha": "eebd7d32b096180cfcc7747ed9efb1d1b74a2f76", "translated_description": "Carboxlic Acid Introduction", "image_url": "https://img.youtube.com/vi/xheOq0XZ-so/hqdefault.jpg", "youtube_id": "xheOq0XZ-so", "content_kind": "Video", "readable_id": "carboxlic-acid-introduction"}, {"translated_youtube_id": "z8h7QgevqjM", "relative_url": "/video/carboxylic-acid-naming", "has_questions": false, "keywords": "Carboxylic, Acid, Naming", "ka_url": "http://www.khanacademy.org/video/carboxylic-acid-naming", "duration": 326, "translated_title": "Carboxylic acid naming", "translated_description_html": "Carboxylic Acid Naming", "id": "6022771", "description_html": "Carboxylic Acid Naming", "title": "Carboxylic acid naming", "progress_key": "v6022771", "edit_slug": "edit/v/6022771", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carboxylic Acid Naming", "extra_properties": null, "node_slug": "v/carboxylic-acid-naming", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:49:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z8h7QgevqjM.mp4/z8h7QgevqjM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z8h7QgevqjM.mp4/z8h7QgevqjM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z8h7QgevqjM.m3u8/z8h7QgevqjM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z8h7QgevqjM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022771", "sha": "d99245a21663ab5548e5b76f2e3e1d1d264339be", "translated_description": "Carboxylic Acid Naming", "image_url": "https://img.youtube.com/vi/z8h7QgevqjM/hqdefault.jpg", "youtube_id": "z8h7QgevqjM", "content_kind": "Video", "readable_id": "carboxylic-acid-naming"}], "twitter_url": "", "translated_description": "In this tutorial, Sal shows how to name carboxylic acids.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal shows how to name carboxylic acids.", "x_pos": 0.0, "node_slug": "naming-carboxylic-acids-sal", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1e9a4477", "topic_page_url": "/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal", "extended_slug": "science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal", "slug": "naming-carboxylic-acids-sal", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "76b647f67e108406cab38d02fc44cf62a979cc27", "standalone_title": "Naming carboxylic acids", "y_pos": 0.0, "current_revision_key": "76b647f67e108406cab38d02fc44cf62a979cc27", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "naming carboxylic acids, formation of carboxylic acid derivatives", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "naming carboxylic acids, formation of carboxylic acid derivatives", "x_pos": 0.0, "node_slug": "carboxylic-acids-derivatives", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8b79fc3", "topic_page_url": "/science/organic-chemistry/carboxylic-acids-derivatives", "extended_slug": "science/organic-chemistry/carboxylic-acids-derivatives", "slug": "carboxylic-acids-derivatives", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8fd943ec1898b5b0f1f8e988631eea232a67a879", "standalone_title": "Carboxylic acids and derivatives", "y_pos": 0.0, "current_revision_key": "8fd943ec1898b5b0f1f8e988631eea232a67a879", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/amines-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/amines-topic", "translated_standalone_title": "Amines", "translated_title": "Amines", "gplus_url": "", "id": "x56be16f4", "old_key_name": "av0yLLCnKztEN1HE5Qh8tNbsNxc8RKp7lECdlN7_", "hide": false, "title": "Amines", "child_data": [{"kind": "Topic", "id": "x49e1a7af"}, {"kind": "Topic", "id": "x5454382e"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/organic-chemistry/amines-topic/naming-amines", "web_url": "", "ka_url": "http://www.khanacademy.org/science/organic-chemistry/amines-topic/naming-amines", "translated_standalone_title": "Naming amines", "translated_title": "Naming amines", "gplus_url": "", "id": "x49e1a7af", "old_key_name": "5cO8a01f7wCxIy8fUBDBMgD4f5a7EIlJPcF3UhYx", "hide": false, "title": "Naming amines", "child_data": [{"kind": "Video", "id": 6022760}, {"kind": "Video", "id": 6022761}], "children": [{"translated_youtube_id": "Kpov3GS6tjM", "relative_url": "/video/amine-naming-introduction", "has_questions": false, "keywords": "Amine, Naming, Introduction", "ka_url": "http://www.khanacademy.org/video/amine-naming-introduction", "duration": 411, "translated_title": "Amine naming introduction", "translated_description_html": "Amine Naming Introduction", "id": "6022760", "description_html": "Amine Naming Introduction", "title": "Amine naming introduction", "progress_key": "v6022760", "edit_slug": "edit/v/6022760", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Amine Naming Introduction", "extra_properties": null, "node_slug": "v/amine-naming-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:48:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kpov3GS6tjM.mp4/Kpov3GS6tjM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kpov3GS6tjM.mp4/Kpov3GS6tjM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kpov3GS6tjM.m3u8/Kpov3GS6tjM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kpov3GS6tjM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022760", "sha": "40fab22ad4bdecddbf0e3ac0211cd64e83d7c7da", "translated_description": "Amine Naming Introduction", "image_url": "https://img.youtube.com/vi/Kpov3GS6tjM/hqdefault.jpg", "youtube_id": "Kpov3GS6tjM", "content_kind": "Video", "readable_id": "amine-naming-introduction"}, {"translated_youtube_id": "CJzuu_k9Nv0", "relative_url": "/video/amine-naming-2", "has_questions": false, "keywords": "Amine, Naming, nitro, phenyl, hydroxy, amino", "ka_url": "http://www.khanacademy.org/video/amine-naming-2", "duration": 343, "translated_title": "Amine naming 2", "translated_description_html": "Amine Naming 2", "id": "6022761", "description_html": "Amine Naming 2", "title": "Amine naming 2", "progress_key": "v6022761", "edit_slug": "edit/v/6022761", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Amine Naming 2", "extra_properties": null, "node_slug": "v/amine-naming-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:48:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJzuu_k9Nv0.mp4/CJzuu_k9Nv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJzuu_k9Nv0.mp4/CJzuu_k9Nv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CJzuu_k9Nv0.m3u8/CJzuu_k9Nv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CJzuu_k9Nv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022761", "sha": "4feac9e38338e97379bc6afa0db47975e9f5e0c3", "translated_description": "Amine Naming 2", "image_url": "https://img.youtube.com/vi/CJzuu_k9Nv0/hqdefault.jpg", "youtube_id": "CJzuu_k9Nv0", "content_kind": "Video", "readable_id": "amine-naming-2"}], "twitter_url": "", "translated_description": "In this tutorial, Sal shows how to name amines.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal shows how to name amines.", "x_pos": 0.0, "node_slug": "naming-amines", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax49e1a7af", "topic_page_url": "/science/organic-chemistry/amines-topic/naming-amines", "extended_slug": "science/organic-chemistry/amines-topic/naming-amines", "slug": "naming-amines", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "64a12d835e70654f1c9e570341ba7c6ba993e1f9", "standalone_title": "Naming amines", "y_pos": 0.0, "current_revision_key": "64a12d835e70654f1c9e570341ba7c6ba993e1f9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "nomenclature and reactions of amines", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "nomenclature and reactions of amines", "x_pos": 0.0, "node_slug": "amines-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax56be16f4", "topic_page_url": "/science/organic-chemistry/amines-topic", "extended_slug": "science/organic-chemistry/amines-topic", "slug": "amines-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f962337707f9b19906e385bc44e730189b2045e2", "standalone_title": "Amines", "y_pos": 0.0, "current_revision_key": "f962337707f9b19906e385bc44e730189b2045e2", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Sal and Jay cover topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed (although there is some review).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Sal and Jay cover topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed (although there is some review).", "x_pos": 0.0, "node_slug": "organic-chemistry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1079cbfa", "topic_page_url": "/science/organic-chemistry", "extended_slug": "science/organic-chemistry", "slug": "organic-chemistry", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8518ae4a533ad8731b6321ac19ec41557f54998c", "standalone_title": "Organic chemistry", "y_pos": 0.0, "current_revision_key": "8518ae4a533ad8731b6321ac19ec41557f54998c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy", "translated_standalone_title": "Cosmology and astronomy", "translated_title": "Cosmology and astronomy", "gplus_url": "", "id": "xcdef9704", "old_key_name": "k1Jgix8DW4V9A49EzjZNpBCYRG0yszwXzjjUMlCN", "hide": false, "title": "Cosmology and astronomy", "child_data": [{"kind": "Topic", "id": "xf5991d77"}, {"kind": "Topic", "id": "x0ba2bf5b"}, {"kind": "Topic", "id": "x860f890e"}, {"kind": "Topic", "id": "xc2dac31d"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic", "translated_standalone_title": "Scale of the universe", "translated_title": "Scale of the universe", "gplus_url": "", "id": "xf5991d77", "old_key_name": "oIcaHDyl6lNfGrvFHNNhcdm-xqMn_NduDZe45PXI", "hide": false, "title": "Scale of the universe", "child_data": [{"kind": "Topic", "id": "x970dd387"}, {"kind": "Topic", "id": "x00e9a5dc"}, {"kind": "Topic", "id": "xecd1a811"}, {"kind": "Topic", "id": "x5f4b7f40"}, {"kind": "Topic", "id": "x5711b7ae"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial", "translated_standalone_title": "Scale of the small and large", "translated_title": "Scale of the small and large", "gplus_url": "", "id": "x970dd387", "old_key_name": "VOQCn9XPdrEf3LEoPgJYXUeLyeVPYHhaJzY8767y", "hide": false, "title": "Scale of the small and large", "child_data": [{"kind": "Video", "id": 89868304}, {"kind": "Video", "id": 91063693}], "children": [{"translated_youtube_id": "5FEjrStgcF8", "relative_url": "/video/scale-of-the-large", "has_questions": false, "keywords": "scale, science", "ka_url": "http://www.khanacademy.org/video/scale-of-the-large", "duration": 662, "translated_title": "Scale of the large", "translated_description_html": "Attempting to comprehend the scale of the large", "id": "89868304", "description_html": "Attempting to comprehend the scale of the large", "title": "Scale of the large", "progress_key": "v89868304", "edit_slug": "edit/v/89868304", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Attempting to comprehend the scale of the large", "extra_properties": null, "node_slug": "v/scale-of-the-large", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-17T23:47:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FEjrStgcF8.mp4/5FEjrStgcF8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FEjrStgcF8.mp4/5FEjrStgcF8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5FEjrStgcF8.m3u8/5FEjrStgcF8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5FEjrStgcF8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v89868304", "sha": "effe4ef8252d3cfbbc08d864f3d5f676a3ee97de", "translated_description": "Attempting to comprehend the scale of the large", "image_url": "https://img.youtube.com/vi/5FEjrStgcF8/hqdefault.jpg", "youtube_id": "5FEjrStgcF8", "content_kind": "Video", "readable_id": "scale-of-the-large"}, {"translated_youtube_id": "ERKx3Oa2omo", "relative_url": "/video/scale-of-the-small", "has_questions": false, "keywords": "nanometer, angstrom, dna, electron, proton, cell, virus, mite, marquee", "ka_url": "http://www.khanacademy.org/video/scale-of-the-small", "duration": 794, "translated_title": "Scale of the small", "translated_description_html": "From honey bees to cells, viruses, and atoms -- understanding the scale of the very small", "id": "91063693", "description_html": "From honey bees to cells, viruses, and atoms -- understanding the scale of the very small", "title": "Scale of the small", "progress_key": "v91063693", "edit_slug": "edit/v/91063693", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "From honey bees to cells, viruses, and atoms -- understanding the scale of the very small", "extra_properties": {"original_url": ""}, "node_slug": "v/scale-of-the-small", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-19T23:26:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ERKx3Oa2omo.mp4/ERKx3Oa2omo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ERKx3Oa2omo.mp4/ERKx3Oa2omo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ERKx3Oa2omo.m3u8/ERKx3Oa2omo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ERKx3Oa2omo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v91063693", "sha": "30da000e3acc2bd3ebf75da166426616d18d48e9", "translated_description": "From honey bees to cells, viruses, and atoms -- understanding the scale of the very small", "image_url": "https://img.youtube.com/vi/ERKx3Oa2omo/hqdefault.jpg", "youtube_id": "ERKx3Oa2omo", "content_kind": "Video", "readable_id": "scale-of-the-small"}], "twitter_url": "", "translated_description": "We humans have trouble comprehending something larger than, say, our planet (and even that isn't easy to conceptualize) and smaller than, say, a cell (once again, still not easy to think about). This tutorial explores the scales of the universe well beyond that of normal human comprehension, but does so in a way that makes them at least a little more understandable. \n\nHow does a bacteria compare to an atom? What about a galaxy to a star? Turn on your inertial dampeners. You're in store for quite a ride!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We humans have trouble comprehending something larger than, say, our planet (and even that isn't easy to conceptualize) and smaller than, say, a cell (once again, still not easy to think about). This tutorial explores the scales of the universe well beyond that of normal human comprehension, but does so in a way that makes them at least a little more understandable. \n\nHow does a bacteria compare to an atom? What about a galaxy to a star? Turn on your inertial dampeners. You're in store for quite a ride!", "x_pos": 0.0, "node_slug": "scale-small-large-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax970dd387", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial", "slug": "scale-small-large-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "21b44104e6ba9937c0d260ee1cdd55e8ac45d368", "standalone_title": "Scale of the small and large", "y_pos": 0.0, "current_revision_key": "21b44104e6ba9937c0d260ee1cdd55e8ac45d368", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces", "translated_standalone_title": "Light and fundamental forces", "translated_title": "Light and fundamental forces", "gplus_url": "", "id": "x00e9a5dc", "old_key_name": "8qHUEe8UcFk98vSLvTVUt5onwQ2po_QiopBIajMC", "hide": false, "title": "Light and fundamental forces", "child_data": [{"kind": "Video", "id": 148049940}, {"kind": "Video", "id": 8187356}], "children": [{"translated_youtube_id": "rLNM8zI4Q_M", "relative_url": "/video/introduction-to-light", "has_questions": false, "keywords": "physics, light, quantum, photon, speed", "ka_url": "http://www.khanacademy.org/video/introduction-to-light", "duration": 577, "translated_title": "Introduction to light", "translated_description_html": "Light and electromagnetic radiation", "id": "148049940", "description_html": "Light and electromagnetic radiation", "title": "Introduction to light", "progress_key": "v148049940", "edit_slug": "edit/v/148049940", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Light and electromagnetic radiation", "extra_properties": null, "node_slug": "v/introduction-to-light", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-12T23:28:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.mp4/rLNM8zI4Q_M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.mp4/rLNM8zI4Q_M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.m3u8/rLNM8zI4Q_M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rLNM8zI4Q_M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v148049940", "sha": "dd61ef7652e3c2cd711e504e937b610f7f430d76", "translated_description": "Light and electromagnetic radiation", "image_url": "https://img.youtube.com/vi/rLNM8zI4Q_M/hqdefault.jpg", "youtube_id": "rLNM8zI4Q_M", "content_kind": "Video", "readable_id": "introduction-to-light"}, {"translated_youtube_id": "FEF6PxWOvsk", "relative_url": "/video/four-fundamental-forces", "has_questions": false, "keywords": "Gravity, Weak", "ka_url": "http://www.khanacademy.org/video/four-fundamental-forces", "duration": 629, "translated_title": "Four fundamental forces", "translated_description_html": "Gravity, Weak, Electromagnetic and Strong", "id": "8187356", "description_html": "Gravity, Weak, Electromagnetic and Strong", "title": "Four fundamental forces", "progress_key": "v8187356", "edit_slug": "edit/v/8187356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Gravity, Weak, Electromagnetic and Strong", "extra_properties": null, "node_slug": "v/four-fundamental-forces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FEF6PxWOvsk.mp4/FEF6PxWOvsk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FEF6PxWOvsk.mp4/FEF6PxWOvsk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FEF6PxWOvsk.m3u8/FEF6PxWOvsk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FEF6PxWOvsk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187356", "sha": "0b1fa22c7ac01b9a3c46cb2186666c1d97b8dd83", "translated_description": "Gravity, Weak, Electromagnetic and Strong", "image_url": "https://img.youtube.com/vi/FEF6PxWOvsk/hqdefault.jpg", "youtube_id": "FEF6PxWOvsk", "content_kind": "Video", "readable_id": "four-fundamental-forces"}], "twitter_url": "", "translated_description": "This tutorial gives an overview of light and the fundamental four forces. You won't have a degree in physics after this, but it'll give you some good context for understanding cosmology and the universe we are experiencing. It should be pretty understandable by someone with a very basic background in science.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial gives an overview of light and the fundamental four forces. You won't have a degree in physics after this, but it'll give you some good context for understanding cosmology and the universe we are experiencing. It should be pretty understandable by someone with a very basic background in science.", "x_pos": 0.0, "node_slug": "light-fundamental-forces", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax00e9a5dc", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces", "slug": "light-fundamental-forces", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c4475ba77597f7bcceb3ce04f1b7e50afb632150", "standalone_title": "Light and fundamental forces", "y_pos": 0.0, "current_revision_key": "c4475ba77597f7bcceb3ce04f1b7e50afb632150", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial", "translated_standalone_title": "Scale of earth, sun, galaxy and universe", "translated_title": "Scale of earth, sun, galaxy and universe", "gplus_url": "", "id": "xecd1a811", "old_key_name": "ykLgon1G_M_mIa6WGmDgPH6LJoin2eUhVLJYq4ut", "hide": false, "title": "Scale of earth, sun, galaxy and universe", "child_data": [{"kind": "Video", "id": 8187268}, {"kind": "Video", "id": 8187269}, {"kind": "Video", "id": 8187270}, {"kind": "Video", "id": 8187271}, {"kind": "Video", "id": 8187272}, {"kind": "Video", "id": 8187273}], "children": [{"translated_youtube_id": "GZx3U0dbASg", "relative_url": "/video/scale-of-earth-and--sun", "has_questions": false, "keywords": "Scale, of, Earth, and, Sun", "ka_url": "http://www.khanacademy.org/video/scale-of-earth-and--sun", "duration": 571, "translated_title": "Scale of earth and sun", "translated_description_html": "Scale of Earth and Sun", "id": "8187268", "description_html": "Scale of Earth and Sun", "title": "Scale of earth and sun", "progress_key": "v8187268", "edit_slug": "edit/v/8187268", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Scale of Earth and Sun", "extra_properties": null, "node_slug": "v/scale-of-earth-and--sun", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZx3U0dbASg.mp4/GZx3U0dbASg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZx3U0dbASg.mp4/GZx3U0dbASg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZx3U0dbASg.m3u8/GZx3U0dbASg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GZx3U0dbASg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187268", "sha": "61d2065846ad99a9e9c821d931b1fc69ac94614c", "translated_description": "Scale of Earth and Sun", "image_url": "https://img.youtube.com/vi/GZx3U0dbASg/hqdefault.jpg", "youtube_id": "GZx3U0dbASg", "content_kind": "Video", "readable_id": "scale-of-earth-and--sun"}, {"translated_youtube_id": "GP53b__h4ew", "relative_url": "/video/scale-of-solar-system", "has_questions": false, "keywords": "Scale, of, Solar, System, big, history, cosmology, astronomy", "ka_url": "http://www.khanacademy.org/video/scale-of-solar-system", "duration": 751, "translated_title": "Scale of solar system", "translated_description_html": "Scale of Solar System", "id": "8187269", "description_html": "Scale of Solar System", "title": "Scale of solar system", "progress_key": "v8187269", "edit_slug": "edit/v/8187269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Scale of Solar System", "extra_properties": null, "node_slug": "v/scale-of-solar-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.mp4/GP53b__h4ew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.mp4/GP53b__h4ew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.m3u8/GP53b__h4ew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GP53b__h4ew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187269", "sha": "8134ad9f155b3cf8d8c9fdd0cf53460413ce10dd", "translated_description": "Scale of Solar System", "image_url": "https://img.youtube.com/vi/GP53b__h4ew/hqdefault.jpg", "youtube_id": "GP53b__h4ew", "content_kind": "Video", "readable_id": "scale-of-solar-system"}, {"translated_youtube_id": "jEeJkkMXt6c", "relative_url": "/video/scale-of-distance-to-closest-stars", "has_questions": false, "keywords": "Scale, of, Distance, to, Closest, Stars, Astronomy, Cosmology", "ka_url": "http://www.khanacademy.org/video/scale-of-distance-to-closest-stars", "duration": 498, "translated_title": "Scale of distance to closest stars", "translated_description_html": "Scale of Distance to Closest Stars", "id": "8187270", "description_html": "Scale of Distance to Closest Stars", "title": "Scale of distance to closest stars", "progress_key": "v8187270", "edit_slug": "edit/v/8187270", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Scale of Distance to Closest Stars", "extra_properties": null, "node_slug": "v/scale-of-distance-to-closest-stars", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jEeJkkMXt6c.mp4/jEeJkkMXt6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jEeJkkMXt6c.mp4/jEeJkkMXt6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jEeJkkMXt6c.m3u8/jEeJkkMXt6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jEeJkkMXt6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187270", "sha": "a85a5e1fdd888ca48381c5d08d4b9c24a5567709", "translated_description": "Scale of Distance to Closest Stars", "image_url": "https://img.youtube.com/vi/jEeJkkMXt6c/hqdefault.jpg", "youtube_id": "jEeJkkMXt6c", "content_kind": "Video", "readable_id": "scale-of-distance-to-closest-stars"}, {"translated_youtube_id": "rcLnMe1ELPA", "relative_url": "/video/scale-of-the-galaxy", "has_questions": false, "keywords": "Scale, of, the, Galaxy", "ka_url": "http://www.khanacademy.org/video/scale-of-the-galaxy", "duration": 775, "translated_title": "Scale of the galaxy", "translated_description_html": "Scale of the Galaxy", "id": "8187271", "description_html": "Scale of the Galaxy", "title": "Scale of the galaxy", "progress_key": "v8187271", "edit_slug": "edit/v/8187271", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Scale of the Galaxy", "extra_properties": null, "node_slug": "v/scale-of-the-galaxy", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcLnMe1ELPA.mp4/rcLnMe1ELPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcLnMe1ELPA.mp4/rcLnMe1ELPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rcLnMe1ELPA.m3u8/rcLnMe1ELPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rcLnMe1ELPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187271", "sha": "676698e82bba5ee7ab1f92e89e92bbcbbe93db16", "translated_description": "Scale of the Galaxy", "image_url": "https://img.youtube.com/vi/rcLnMe1ELPA/hqdefault.jpg", "youtube_id": "rcLnMe1ELPA", "content_kind": "Video", "readable_id": "scale-of-the-galaxy"}, {"translated_youtube_id": "JiE_kNk3ucI", "relative_url": "/video/intergalactic-scale", "has_questions": false, "keywords": "Intergalactic, Scale, Cosmology, Astronomy, Observable, Universe", "ka_url": "http://www.khanacademy.org/video/intergalactic-scale", "duration": 650, "translated_title": "Intergalactic scale", "translated_description_html": "Intergalactic Scale", "id": "8187272", "description_html": "Intergalactic Scale", "title": "Intergalactic scale", "progress_key": "v8187272", "edit_slug": "edit/v/8187272", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intergalactic Scale", "extra_properties": null, "node_slug": "v/intergalactic-scale", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JiE_kNk3ucI.mp4/JiE_kNk3ucI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JiE_kNk3ucI.mp4/JiE_kNk3ucI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JiE_kNk3ucI.m3u8/JiE_kNk3ucI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JiE_kNk3ucI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187272", "sha": "52a77333745efcab714dcff7ffee44dad8374b4b", "translated_description": "Intergalactic Scale", "image_url": "https://img.youtube.com/vi/JiE_kNk3ucI/hqdefault.jpg", "youtube_id": "JiE_kNk3ucI", "content_kind": "Video", "readable_id": "intergalactic-scale"}, {"translated_youtube_id": "Wl4re38deh0", "relative_url": "/video/hubble-image-of-galaxies", "has_questions": false, "keywords": "Hubble, Image, of, Galaxies, cosmology, cosmos, astronomy", "ka_url": "http://www.khanacademy.org/video/hubble-image-of-galaxies", "duration": 252, "translated_title": "Hubble image of galaxies", "translated_description_html": "Hubble Image of Galaxies", "id": "8187273", "description_html": "Hubble Image of Galaxies", "title": "Hubble image of galaxies", "progress_key": "v8187273", "edit_slug": "edit/v/8187273", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hubble Image of Galaxies", "extra_properties": null, "node_slug": "v/hubble-image-of-galaxies", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wl4re38deh0.mp4/Wl4re38deh0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wl4re38deh0.mp4/Wl4re38deh0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wl4re38deh0.m3u8/Wl4re38deh0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wl4re38deh0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187273", "sha": "a260841ce30660f576d412bce338f0fddd67da6b", "translated_description": "Hubble Image of Galaxies", "image_url": "https://img.youtube.com/vi/Wl4re38deh0/hqdefault.jpg", "youtube_id": "Wl4re38deh0", "content_kind": "Video", "readable_id": "hubble-image-of-galaxies"}], "twitter_url": "", "translated_description": "The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness!", "x_pos": 0.0, "node_slug": "scale-earth-galaxy-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axecd1a811", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial", "slug": "scale-earth-galaxy-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "10ca966b03b4708450101b2c67c89af296c04a7d", "standalone_title": "Scale of earth, sun, galaxy and universe", "y_pos": 0.0, "current_revision_key": "10ca966b03b4708450101b2c67c89af296c04a7d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial", "translated_standalone_title": "Time scale of the cosmos", "translated_title": "Time scale of the cosmos", "gplus_url": "", "id": "x5f4b7f40", "old_key_name": "nFQFd3lco3zM1ETArha9jLqNnSQTj4f-FUMl_csN", "hide": false, "title": "Time scale of the cosmos", "child_data": [{"kind": "Video", "id": 8187354}, {"kind": "Video", "id": 8187355}], "children": [{"translated_youtube_id": "DRtLXagrMHw", "relative_url": "/video/cosmological-time-scale-1", "has_questions": false, "keywords": "Cosmological, Time, Scale", "ka_url": "http://www.khanacademy.org/video/cosmological-time-scale-1", "duration": 427, "translated_title": "Cosmological time scale 1", "translated_description_html": "Cosmological Time Scale 1", "id": "8187354", "description_html": "Cosmological Time Scale 1", "title": "Cosmological time scale 1", "progress_key": "v8187354", "edit_slug": "edit/v/8187354", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cosmological Time Scale 1", "extra_properties": null, "node_slug": "v/cosmological-time-scale-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRtLXagrMHw.mp4/DRtLXagrMHw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRtLXagrMHw.mp4/DRtLXagrMHw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRtLXagrMHw.m3u8/DRtLXagrMHw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DRtLXagrMHw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187354", "sha": "abdb9cc91059273b8a47fb45723cd109994b62c9", "translated_description": "Cosmological Time Scale 1", "image_url": "https://img.youtube.com/vi/DRtLXagrMHw/hqdefault.jpg", "youtube_id": "DRtLXagrMHw", "content_kind": "Video", "readable_id": "cosmological-time-scale-1"}, {"translated_youtube_id": "LO7-3MpWijU", "relative_url": "/video/cosmological-time-scale-2", "has_questions": false, "keywords": "Cosmological, Time, Scale, Big, Bang, Age, Universe", "ka_url": "http://www.khanacademy.org/video/cosmological-time-scale-2", "duration": 378, "translated_title": "Cosmological time scale 2", "translated_description_html": "Cosmological Time Scale 2", "id": "8187355", "description_html": "Cosmological Time Scale 2", "title": "Cosmological time scale 2", "progress_key": "v8187355", "edit_slug": "edit/v/8187355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Cosmological Time Scale 2", "extra_properties": null, "node_slug": "v/cosmological-time-scale-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LO7-3MpWijU.mp4/LO7-3MpWijU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LO7-3MpWijU.mp4/LO7-3MpWijU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LO7-3MpWijU.m3u8/LO7-3MpWijU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LO7-3MpWijU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187355", "sha": "d10dca7e094c2822264d734bf101560aa6cb3085", "translated_description": "Cosmological Time Scale 2", "image_url": "https://img.youtube.com/vi/LO7-3MpWijU/hqdefault.jpg", "youtube_id": "LO7-3MpWijU", "content_kind": "Video", "readable_id": "cosmological-time-scale-2"}], "twitter_url": "", "translated_description": "Not only is the universe unimaginable large (possibly infinite), but it is also unimaginably old. If you were feeling small in space, wait until you realize that all of human history is but a tiny blip in the history of the universe.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Not only is the universe unimaginable large (possibly infinite), but it is also unimaginably old. If you were feeling small in space, wait until you realize that all of human history is but a tiny blip in the history of the universe.", "x_pos": 0.0, "node_slug": "cosmos-time-scale-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5f4b7f40", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial", "slug": "cosmos-time-scale-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "09e8a607f4cd04e610e156c06feb2656d64ec731", "standalone_title": "Time scale of the cosmos", "y_pos": 0.0, "current_revision_key": "09e8a607f4cd04e610e156c06feb2656d64ec731", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic", "translated_standalone_title": "Big bang and expansion of the universe", "translated_title": "Big bang and expansion of the universe", "gplus_url": "", "id": "x5711b7ae", "old_key_name": "2fNyxGvMZvfq-FhpEZnxt1Zg1Oo6iD9WDaW1nXqc", "hide": false, "title": "Big bang and expansion of the universe", "child_data": [{"kind": "Video", "id": 8187274}, {"kind": "Video", "id": 8187275}, {"kind": "Video", "id": 8187276}, {"kind": "Video", "id": 8187351}, {"kind": "Video", "id": 8187352}, {"kind": "Video", "id": 8187353}, {"kind": "Video", "id": 8187365}, {"kind": "Video", "id": 8187279}], "children": [{"translated_youtube_id": "eUF59jCFcyQ", "relative_url": "/video/big-bang-introduction", "has_questions": false, "keywords": "Big, Bang, Introduction", "ka_url": "http://www.khanacademy.org/video/big-bang-introduction", "duration": 663, "translated_title": "Big bang introduction", "translated_description_html": null, "id": "8187274", "description_html": null, "title": "Big bang introduction", "progress_key": "v8187274", "edit_slug": "edit/v/8187274", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/big-bang-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eUF59jCFcyQ.mp4/eUF59jCFcyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eUF59jCFcyQ.mp4/eUF59jCFcyQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eUF59jCFcyQ.m3u8/eUF59jCFcyQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eUF59jCFcyQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187274", "sha": "192499849a90c35b97b3d5b132f92bb9564664c9", "translated_description": null, "image_url": "https://img.youtube.com/vi/eUF59jCFcyQ/hqdefault.jpg", "youtube_id": "eUF59jCFcyQ", "content_kind": "Video", "readable_id": "big-bang-introduction"}, {"translated_youtube_id": "6nVysrZQnOQ", "relative_url": "/video/radius-of-observable-universe", "has_questions": false, "keywords": "Radius, of, Observable, Universe, cosmos, cosmology, astronomy", "ka_url": "http://www.khanacademy.org/video/radius-of-observable-universe", "duration": 999, "translated_title": "Radius of observable universe", "translated_description_html": "Radius of Observable Universe", "id": "8187275", "description_html": "Radius of Observable Universe", "title": "Radius of observable universe", "progress_key": "v8187275", "edit_slug": "edit/v/8187275", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Radius of Observable Universe", "extra_properties": null, "node_slug": "v/radius-of-observable-universe", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6nVysrZQnOQ.mp4/6nVysrZQnOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6nVysrZQnOQ.mp4/6nVysrZQnOQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6nVysrZQnOQ.m3u8/6nVysrZQnOQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6nVysrZQnOQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187275", "sha": "76cc3688b69022bd0c14ca7ed2f34c4cc00dfe08", "translated_description": "Radius of Observable Universe", "image_url": "https://img.youtube.com/vi/6nVysrZQnOQ/hqdefault.jpg", "youtube_id": "6nVysrZQnOQ", "content_kind": "Video", "readable_id": "radius-of-observable-universe"}, {"translated_youtube_id": "b6VQv76BQDs", "relative_url": "/video/correction--radius-of-observable-universe", "has_questions": false, "keywords": "Radius, of, Observable, Universe", "ka_url": "http://www.khanacademy.org/video/correction--radius-of-observable-universe", "duration": 134, "translated_title": "Radius of observable universe (correction)", "translated_description_html": "(Correction) Radius of Observable Universe", "id": "8187276", "description_html": "(Correction) Radius of Observable Universe", "title": "Radius of observable universe (correction)", "progress_key": "v8187276", "edit_slug": "edit/v/8187276", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "(Correction) Radius of Observable Universe", "extra_properties": null, "node_slug": "v/correction--radius-of-observable-universe", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b6VQv76BQDs.mp4/b6VQv76BQDs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b6VQv76BQDs.mp4/b6VQv76BQDs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b6VQv76BQDs.m3u8/b6VQv76BQDs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b6VQv76BQDs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187276", "sha": "c3d792dccd7f88a024e6c8c28cbd0c9e1c45579f", "translated_description": "(Correction) Radius of Observable Universe", "image_url": "https://img.youtube.com/vi/b6VQv76BQDs/hqdefault.jpg", "youtube_id": "b6VQv76BQDs", "content_kind": "Video", "readable_id": "correction--radius-of-observable-universe"}, {"translated_youtube_id": "mx2M_ZKXM_c", "relative_url": "/video/red-shift", "has_questions": false, "keywords": "Red, Shift, Doppler", "ka_url": "http://www.khanacademy.org/video/red-shift", "duration": 604, "translated_title": "Red shift", "translated_description_html": "", "id": "8187351", "description_html": "", "title": "Red shift", "progress_key": "v8187351", "edit_slug": "edit/v/8187351", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/red-shift", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mx2M_ZKXM_c.mp4/mx2M_ZKXM_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mx2M_ZKXM_c.mp4/mx2M_ZKXM_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mx2M_ZKXM_c.m3u8/mx2M_ZKXM_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mx2M_ZKXM_c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187351", "sha": "b7a876d279fcea12c0d04bf1e453a34f560c0070", "translated_description": "", "image_url": "https://img.youtube.com/vi/mx2M_ZKXM_c/hqdefault.jpg", "youtube_id": "mx2M_ZKXM_c", "content_kind": "Video", "readable_id": "red-shift"}, {"translated_youtube_id": "sxbPwl_KRuA", "relative_url": "/video/cosmic-background-radiation", "has_questions": false, "keywords": "Cosmic, Background, Radiation, microwave, big, bang", "ka_url": "http://www.khanacademy.org/video/cosmic-background-radiation", "duration": 696, "translated_title": "Cosmic background radiation", "translated_description_html": "Cosmic Background Radiation", "id": "8187352", "description_html": "Cosmic Background Radiation", "title": "Cosmic background radiation", "progress_key": "v8187352", "edit_slug": "edit/v/8187352", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cosmic Background Radiation", "extra_properties": null, "node_slug": "v/cosmic-background-radiation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sxbPwl_KRuA.mp4/sxbPwl_KRuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sxbPwl_KRuA.mp4/sxbPwl_KRuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sxbPwl_KRuA.m3u8/sxbPwl_KRuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sxbPwl_KRuA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187352", "sha": "107927470d7caece860ace8b409de274704674d4", "translated_description": "Cosmic Background Radiation", "image_url": "https://img.youtube.com/vi/sxbPwl_KRuA/hqdefault.jpg", "youtube_id": "sxbPwl_KRuA", "content_kind": "Video", "readable_id": "cosmic-background-radiation"}, {"translated_youtube_id": "06z7Q8TWPyU", "relative_url": "/video/cosmic-background-radiation-2", "has_questions": false, "keywords": "Cosmic, Background, Radiation, Microwave, redshift, big, bang", "ka_url": "http://www.khanacademy.org/video/cosmic-background-radiation-2", "duration": 615, "translated_title": "Cosmic background radiation 2", "translated_description_html": "Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation", "id": "8187353", "description_html": "Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation", "title": "Cosmic background radiation 2", "progress_key": "v8187353", "edit_slug": "edit/v/8187353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation", "extra_properties": null, "node_slug": "v/cosmic-background-radiation-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/06z7Q8TWPyU.mp4/06z7Q8TWPyU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/06z7Q8TWPyU.mp4/06z7Q8TWPyU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/06z7Q8TWPyU.m3u8/06z7Q8TWPyU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=06z7Q8TWPyU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187353", "sha": "1213163e0ab58d1ed5756267406cac0acff113be", "translated_description": "Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation", "image_url": "https://img.youtube.com/vi/06z7Q8TWPyU/hqdefault.jpg", "youtube_id": "06z7Q8TWPyU", "content_kind": "Video", "readable_id": "cosmic-background-radiation-2"}, {"translated_youtube_id": "1V9wVmO0Tfg", "relative_url": "/video/hubble-s-law", "has_questions": false, "keywords": "Hubble's, Law", "ka_url": "http://www.khanacademy.org/video/hubble-s-law", "duration": 672, "translated_title": "Hubble's law", "translated_description_html": "Hubble's Law", "id": "8187365", "description_html": "Hubble's Law", "title": "Hubble's law", "progress_key": "v8187365", "edit_slug": "edit/v/8187365", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hubble's Law", "extra_properties": null, "node_slug": "v/hubble-s-law", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1V9wVmO0Tfg.mp4/1V9wVmO0Tfg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1V9wVmO0Tfg.mp4/1V9wVmO0Tfg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1V9wVmO0Tfg.m3u8/1V9wVmO0Tfg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1V9wVmO0Tfg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187365", "sha": "923430f7cb5f8cb86d9740ff8f9af564191b40f8", "translated_description": "Hubble's Law", "image_url": "https://img.youtube.com/vi/1V9wVmO0Tfg/hqdefault.jpg", "youtube_id": "1V9wVmO0Tfg", "content_kind": "Video", "readable_id": "hubble-s-law"}, {"translated_youtube_id": "0w9R_foNLrg", "relative_url": "/video/a-universe-smaller-than-the-observable", "has_questions": false, "keywords": "Universe, Smaller, than, the, Observable, Cosmology, Astronomy", "ka_url": "http://www.khanacademy.org/video/a-universe-smaller-than-the-observable", "duration": 538, "translated_title": "A universe smaller than the observable", "translated_description_html": "A Universe Smaller than the Observable", "id": "8187279", "description_html": "A Universe Smaller than the Observable", "title": "A universe smaller than the observable", "progress_key": "v8187279", "edit_slug": "edit/v/8187279", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A Universe Smaller than the Observable", "extra_properties": null, "node_slug": "v/a-universe-smaller-than-the-observable", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0w9R_foNLrg.mp4/0w9R_foNLrg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0w9R_foNLrg.mp4/0w9R_foNLrg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0w9R_foNLrg.m3u8/0w9R_foNLrg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0w9R_foNLrg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187279", "sha": "606539fb85f5dde29d6d3dec0327923795eb5fec", "translated_description": "A Universe Smaller than the Observable", "image_url": "https://img.youtube.com/vi/0w9R_foNLrg/hqdefault.jpg", "youtube_id": "0w9R_foNLrg", "content_kind": "Video", "readable_id": "a-universe-smaller-than-the-observable"}], "twitter_url": "", "translated_description": "What does it mean for the universe to expand? Was the \"big bang\" an explosion of some sort or a rapid expansion of space-time (it was the latter)? If the universe was/is expanding, what is \"outside\" it? How do we know how far/old things are?\n\nThis tutorial addresses some of the oldest questions known to man.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What does it mean for the universe to expand? Was the \"big bang\" an explosion of some sort or a rapid expansion of space-time (it was the latter)? If the universe was/is expanding, what is \"outside\" it? How do we know how far/old things are?\n\nThis tutorial addresses some of the oldest questions known to man.", "x_pos": 0.0, "node_slug": "big-bang-expansion-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5711b7ae", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic", "slug": "big-bang-expansion-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ee3ade5c51fd31c0bc6b9dacea21600cb8ea4da3", "standalone_title": "Big bang and expansion of the universe", "y_pos": 0.0, "current_revision_key": "ee3ade5c51fd31c0bc6b9dacea21600cb8ea4da3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Things in our universe can be unimaginably large and small. In this topic, we'll try to imagine the unimaginable!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Things in our universe can be unimaginably large and small. In this topic, we'll try to imagine the unimaginable!", "x_pos": 0.0, "node_slug": "universe-scale-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf5991d77", "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic", "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic", "slug": "universe-scale-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b142bfac4e7303f36e42d6a0b73fc026abbceeac", "standalone_title": "Scale of the universe", "y_pos": 0.0, "current_revision_key": "b142bfac4e7303f36e42d6a0b73fc026abbceeac", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/stellar-life-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic", "translated_standalone_title": "Life (and death) of stars", "translated_title": "Stars, black holes and galaxies", "gplus_url": "", "id": "x0ba2bf5b", "old_key_name": "JZBuQD9GuROLjTFKOAurXb0WZRJTEg8w557HUCkz", "hide": false, "title": "Stars, black holes and galaxies", "child_data": [{"kind": "Topic", "id": "x797135d1"}, {"kind": "Topic", "id": "xe6a7ce95"}, {"kind": "Topic", "id": "x0b998516"}, {"kind": "Topic", "id": "xe2c51a1f"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial", "translated_standalone_title": "Life and death of stars", "translated_title": "Life and death of stars", "gplus_url": "", "id": "x797135d1", "old_key_name": "f2WM5VYxCtAjRKHsEFGfG37jYiRcQaofFVYKLE83", "hide": false, "title": "Life and death of stars", "child_data": [{"kind": "Video", "id": 8187357}, {"kind": "Video", "id": 1272530969}, {"kind": "Scratchpad", "id": 1176457365}, {"kind": "Video", "id": 8187358}, {"kind": "Video", "id": 8187359}, {"kind": "Video", "id": 8187360}, {"kind": "Video", "id": 8187386}, {"kind": "Video", "id": 8187387}, {"kind": "Video", "id": 8187388}, {"kind": "Video", "id": 8187389}, {"kind": "Video", "id": 8187393}], "children": [{"translated_youtube_id": "i-NNWI8Ccas", "relative_url": "/video/birth-of-stars", "has_questions": false, "keywords": "Birth, of, Stars, stellar, evoluation", "ka_url": "http://www.khanacademy.org/video/birth-of-stars", "duration": 478, "translated_title": "Birth of stars", "translated_description_html": "Birth of Stars", "id": "8187357", "description_html": "Birth of Stars", "title": "Birth of stars", "progress_key": "v8187357", "edit_slug": "edit/v/8187357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Birth of Stars", "extra_properties": null, "node_slug": "v/birth-of-stars", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i-NNWI8Ccas.mp4/i-NNWI8Ccas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i-NNWI8Ccas.mp4/i-NNWI8Ccas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i-NNWI8Ccas.m3u8/i-NNWI8Ccas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i-NNWI8Ccas&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187357", "sha": "8fa525c4387b96f9f94ee7354cb14ca2ce8404f7", "translated_description": "Birth of Stars", "image_url": "https://img.youtube.com/vi/i-NNWI8Ccas/hqdefault.jpg", "youtube_id": "i-NNWI8Ccas", "content_kind": "Video", "readable_id": "birth-of-stars"}, {"translated_youtube_id": "hD4ySbQYYyA", "relative_url": "/video/accreting-mass-due-to-gravity-simulation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/accreting-mass-due-to-gravity-simulation", "duration": 214, "translated_title": "Accreting mass due to gravity simulation", "translated_description_html": "", "id": "1272530969", "description_html": "", "title": "Accreting mass due to gravity simulation", "progress_key": "v1272530969", "edit_slug": "edit/v/1272530969", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/accreting-mass-due-to-gravity-simulation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-07T18:26:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hD4ySbQYYyA.mp4/hD4ySbQYYyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hD4ySbQYYyA.mp4/hD4ySbQYYyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hD4ySbQYYyA.m3u8/hD4ySbQYYyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hD4ySbQYYyA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1272530969", "sha": "fa23fed34eb0e0c9da5fceb7000984fffdf4d123", "translated_description": "", "image_url": "https://img.youtube.com/vi/hD4ySbQYYyA/hqdefault.jpg", "youtube_id": "hD4ySbQYYyA", "content_kind": "Video", "readable_id": "accreting-mass-due-to-gravity-simulation"}, {"translated_youtube_id": "kJSOqlcFpJw", "relative_url": "/video/becoming-a-red-giant", "has_questions": false, "keywords": "Becoming, Red, Giant, stellar, evolution", "ka_url": "http://www.khanacademy.org/video/becoming-a-red-giant", "duration": 690, "translated_title": "Becoming a red giant", "translated_description_html": "Becoming a Red Giant", "id": "8187358", "description_html": "Becoming a Red Giant", "title": "Becoming a red giant", "progress_key": "v8187358", "edit_slug": "edit/v/8187358", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Becoming a Red Giant", "extra_properties": null, "node_slug": "v/becoming-a-red-giant", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kJSOqlcFpJw.mp4/kJSOqlcFpJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kJSOqlcFpJw.mp4/kJSOqlcFpJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kJSOqlcFpJw.m3u8/kJSOqlcFpJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kJSOqlcFpJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187358", "sha": "75fae16d4f734b1f4f4a0ba6da633c7c5ac6c8af", "translated_description": "Becoming a Red Giant", "image_url": "https://img.youtube.com/vi/kJSOqlcFpJw/hqdefault.jpg", "youtube_id": "kJSOqlcFpJw", "content_kind": "Video", "readable_id": "becoming-a-red-giant"}, {"translated_youtube_id": "EdYyuUUY-nc", "relative_url": "/video/white-and-black-dwarfs", "has_questions": false, "keywords": "White, and, Black, Dwarfs, stellar, evolution", "ka_url": "http://www.khanacademy.org/video/white-and-black-dwarfs", "duration": 774, "translated_title": "White and black dwarfs", "translated_description_html": "White and Black Dwarfs", "id": "8187359", "description_html": "White and Black Dwarfs", "title": "White and black dwarfs", "progress_key": "v8187359", "edit_slug": "edit/v/8187359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "White and Black Dwarfs", "extra_properties": null, "node_slug": "v/white-and-black-dwarfs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EdYyuUUY-nc.mp4/EdYyuUUY-nc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EdYyuUUY-nc.mp4/EdYyuUUY-nc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EdYyuUUY-nc.m3u8/EdYyuUUY-nc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EdYyuUUY-nc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187359", "sha": "3f92caed6ae647649c5fc6a7d7ede4b5d6da5aa3", "translated_description": "White and Black Dwarfs", "image_url": "https://img.youtube.com/vi/EdYyuUUY-nc/hqdefault.jpg", "youtube_id": "EdYyuUUY-nc", "content_kind": "Video", "readable_id": "white-and-black-dwarfs"}, {"translated_youtube_id": "w3IKEa_GOYs", "relative_url": "/video/star-field-and-nebula-images", "has_questions": false, "keywords": "Star, Field, and, Nebula, Images", "ka_url": "http://www.khanacademy.org/video/star-field-and-nebula-images", "duration": 424, "translated_title": "Star field and nebula images", "translated_description_html": "Star Field and Nebula Images", "id": "8187360", "description_html": "Star Field and Nebula Images", "title": "Star field and nebula images", "progress_key": "v8187360", "edit_slug": "edit/v/8187360", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Star Field and Nebula Images", "extra_properties": null, "node_slug": "v/star-field-and-nebula-images", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w3IKEa_GOYs.mp4/w3IKEa_GOYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w3IKEa_GOYs.mp4/w3IKEa_GOYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w3IKEa_GOYs.m3u8/w3IKEa_GOYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w3IKEa_GOYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187360", "sha": "f627a4a757052ba361c1eb57e72871c0f21e28c7", "translated_description": "Star Field and Nebula Images", "image_url": "https://img.youtube.com/vi/w3IKEa_GOYs/hqdefault.jpg", "youtube_id": "w3IKEa_GOYs", "content_kind": "Video", "readable_id": "star-field-and-nebula-images"}, {"translated_youtube_id": "UhIwMAhZpCo", "relative_url": "/video/lifecycle-of-massive-stars", "has_questions": false, "keywords": "Lifecycle, of, Massive, Stars", "ka_url": "http://www.khanacademy.org/video/lifecycle-of-massive-stars", "duration": 401, "translated_title": "Lifecycle of massive stars", "translated_description_html": "Lifecycle of Massive Stars", "id": "8187386", "description_html": "Lifecycle of Massive Stars", "title": "Lifecycle of massive stars", "progress_key": "v8187386", "edit_slug": "edit/v/8187386", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lifecycle of Massive Stars", "extra_properties": null, "node_slug": "v/lifecycle-of-massive-stars", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UhIwMAhZpCo.mp4/UhIwMAhZpCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UhIwMAhZpCo.mp4/UhIwMAhZpCo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UhIwMAhZpCo.m3u8/UhIwMAhZpCo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UhIwMAhZpCo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187386", "sha": "b53308b29ea71152a07df402f5f958f6366601e3", "translated_description": "Lifecycle of Massive Stars", "image_url": "https://img.youtube.com/vi/UhIwMAhZpCo/hqdefault.jpg", "youtube_id": "UhIwMAhZpCo", "content_kind": "Video", "readable_id": "lifecycle-of-massive-stars"}, {"translated_youtube_id": "qOwCpnQsDLM", "relative_url": "/video/supernova--supernovae", "has_questions": false, "keywords": "SuperNova, (SuperNovae), nova, massive, stars", "ka_url": "http://www.khanacademy.org/video/supernova--supernovae", "duration": 718, "translated_title": "Supernova (supernovae)", "translated_description_html": "Supernova (Supernovae)", "id": "8187387", "description_html": "Supernova (Supernovae)", "title": "Supernova (supernovae)", "progress_key": "v8187387", "edit_slug": "edit/v/8187387", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Supernova (Supernovae)", "extra_properties": null, "node_slug": "v/supernova--supernovae", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qOwCpnQsDLM.mp4/qOwCpnQsDLM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qOwCpnQsDLM.mp4/qOwCpnQsDLM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qOwCpnQsDLM.m3u8/qOwCpnQsDLM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qOwCpnQsDLM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187387", "sha": "a5e844fb2470abc3ef116c30b66ac69491a69c7f", "translated_description": "Supernova (Supernovae)", "image_url": "https://img.youtube.com/vi/qOwCpnQsDLM/hqdefault.jpg", "youtube_id": "qOwCpnQsDLM", "content_kind": "Video", "readable_id": "supernova--supernovae"}, {"translated_youtube_id": "QMv4kxATfzs", "relative_url": "/video/supernova-clarification", "has_questions": false, "keywords": "SuperNova, (SuperNovae), nova, massive, stars", "ka_url": "http://www.khanacademy.org/video/supernova-clarification", "duration": 92, "translated_title": "Supernova clarification", "translated_description_html": "Supernova clarification", "id": "8187388", "description_html": "Supernova clarification", "title": "Supernova clarification", "progress_key": "v8187388", "edit_slug": "edit/v/8187388", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Supernova clarification", "extra_properties": null, "node_slug": "v/supernova-clarification", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QMv4kxATfzs.mp4/QMv4kxATfzs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QMv4kxATfzs.mp4/QMv4kxATfzs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QMv4kxATfzs.m3u8/QMv4kxATfzs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QMv4kxATfzs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187388", "sha": "bc4e2055d96019b90f7b70aa36f3a2ee1ebe4d33", "translated_description": "Supernova clarification", "image_url": "https://img.youtube.com/vi/QMv4kxATfzs/hqdefault.jpg", "youtube_id": "QMv4kxATfzs", "content_kind": "Video", "readable_id": "supernova-clarification"}, {"translated_youtube_id": "JoL2pO3O0rg", "relative_url": "/video/black-holes", "has_questions": false, "keywords": "Black, Holes, Event, Horizon, singularity, marquee", "ka_url": "http://www.khanacademy.org/video/black-holes", "duration": 609, "translated_title": "Black holes", "translated_description_html": "Black Holes", "id": "8187389", "description_html": "Black Holes", "title": "Black holes", "progress_key": "v8187389", "edit_slug": "edit/v/8187389", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Black Holes", "extra_properties": null, "node_slug": "v/black-holes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JoL2pO3O0rg.mp4/JoL2pO3O0rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JoL2pO3O0rg.mp4/JoL2pO3O0rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JoL2pO3O0rg.m3u8/JoL2pO3O0rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JoL2pO3O0rg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187389", "sha": "a71e837941ad11a3c5e0ae99123587af30a12a9a", "translated_description": "Black Holes", "image_url": "https://img.youtube.com/vi/JoL2pO3O0rg/hqdefault.jpg", "youtube_id": "JoL2pO3O0rg", "content_kind": "Video", "readable_id": "black-holes"}, {"translated_youtube_id": "DxkkAHnqlpY", "relative_url": "/video/supermassive-black-holes", "has_questions": false, "keywords": "Super, massive, Black, Holes", "ka_url": "http://www.khanacademy.org/video/supermassive-black-holes", "duration": 568, "translated_title": "Supermassive black holes", "translated_description_html": "Supermassive Black Holes", "id": "8187393", "description_html": "Supermassive Black Holes", "title": "Supermassive black holes", "progress_key": "v8187393", "edit_slug": "edit/v/8187393", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Supermassive Black Holes", "extra_properties": null, "node_slug": "v/supermassive-black-holes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DxkkAHnqlpY.mp4/DxkkAHnqlpY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DxkkAHnqlpY.mp4/DxkkAHnqlpY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DxkkAHnqlpY.m3u8/DxkkAHnqlpY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DxkkAHnqlpY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187393", "sha": "a047f796c202e91d38a22cab9cf61bee88e758db", "translated_description": "Supermassive Black Holes", "image_url": "https://img.youtube.com/vi/DxkkAHnqlpY/hqdefault.jpg", "youtube_id": "DxkkAHnqlpY", "content_kind": "Video", "readable_id": "supermassive-black-holes"}], "twitter_url": "", "translated_description": "Stars begin when material drifting in space condenses due to gravity to be dense enough for fusion to occur. Depending on the volume and make-up of this material, the star could then develop into very different things--from supernovae, to neutron stars, to black holes. \n\nThis tutorial explores the life of stars and will have you appreciating the grand weirdness of our reality.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Stars begin when material drifting in space condenses due to gravity to be dense enough for fusion to occur. Depending on the volume and make-up of this material, the star could then develop into very different things--from supernovae, to neutron stars, to black holes. \n\nThis tutorial explores the life of stars and will have you appreciating the grand weirdness of our reality.", "x_pos": 0.0, "node_slug": "stellar-life-death-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax797135d1", "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial", "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial", "slug": "stellar-life-death-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6b6028f2bc2beaab3d4fa61b7033958fcd00cbd1", "standalone_title": "Life and death of stars", "y_pos": 0.0, "current_revision_key": "6b6028f2bc2beaab3d4fa61b7033958fcd00cbd1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/stellar-life-topic/quasars", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars", "translated_standalone_title": "Quasars and galactive collisions", "translated_title": "Quasars and galactive collisions", "gplus_url": "", "id": "xe6a7ce95", "old_key_name": "3HvP_Dam637Clb3_iPCgpHau7jHwPinyeSg5akKJ", "hide": false, "title": "Quasars and galactive collisions", "child_data": [{"kind": "Video", "id": 8187394}, {"kind": "Video", "id": 8187395}, {"kind": "Video", "id": 8187396}], "children": [{"translated_youtube_id": "4LmIyMyAuN0", "relative_url": "/video/quasars", "has_questions": false, "keywords": "Quasars, black, hole", "ka_url": "http://www.khanacademy.org/video/quasars", "duration": 555, "translated_title": "Quasars", "translated_description_html": "Quasars", "id": "8187394", "description_html": "Quasars", "title": "Quasars", "progress_key": "v8187394", "edit_slug": "edit/v/8187394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quasars", "extra_properties": null, "node_slug": "v/quasars", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4LmIyMyAuN0.mp4/4LmIyMyAuN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4LmIyMyAuN0.mp4/4LmIyMyAuN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4LmIyMyAuN0.m3u8/4LmIyMyAuN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4LmIyMyAuN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187394", "sha": "958527f7dd951724d5332e03e34c2130cceee447", "translated_description": "Quasars", "image_url": "https://img.youtube.com/vi/4LmIyMyAuN0/hqdefault.jpg", "youtube_id": "4LmIyMyAuN0", "content_kind": "Video", "readable_id": "quasars"}, {"translated_youtube_id": "PX_XSnVWlNc", "relative_url": "/video/quasar-correction", "has_questions": false, "keywords": "Quasar, Correction", "ka_url": "http://www.khanacademy.org/video/quasar-correction", "duration": 106, "translated_title": "Quasar correction", "translated_description_html": "Quasar Correction", "id": "8187395", "description_html": "Quasar Correction", "title": "Quasar correction", "progress_key": "v8187395", "edit_slug": "edit/v/8187395", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quasar Correction", "extra_properties": null, "node_slug": "v/quasar-correction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PX_XSnVWlNc.mp4/PX_XSnVWlNc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PX_XSnVWlNc.mp4/PX_XSnVWlNc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PX_XSnVWlNc.m3u8/PX_XSnVWlNc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PX_XSnVWlNc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187395", "sha": "991ea11fb7291b1df2fa5a4eac58a49c6ca17a92", "translated_description": "Quasar Correction", "image_url": "https://img.youtube.com/vi/PX_XSnVWlNc/hqdefault.jpg", "youtube_id": "PX_XSnVWlNc", "content_kind": "Video", "readable_id": "quasar-correction"}, {"translated_youtube_id": "QXYbGZ3T3_k", "relative_url": "/video/galactic-collisions", "has_questions": false, "keywords": "Milky, Way, Galactic, Andromeda, Collision", "ka_url": "http://www.khanacademy.org/video/galactic-collisions", "duration": 214, "translated_title": "Galactic collisions", "translated_description_html": "Collision of the Milky Way Galaxy with Andromeda (forming \"Milkomeda\")", "id": "8187396", "description_html": "Collision of the Milky Way Galaxy with Andromeda (forming \"Milkomeda\")", "title": "Galactic collisions", "progress_key": "v8187396", "edit_slug": "edit/v/8187396", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Collision of the Milky Way Galaxy with Andromeda (forming \"Milkomeda\")", "extra_properties": null, "node_slug": "v/galactic-collisions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QXYbGZ3T3_k.mp4/QXYbGZ3T3_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QXYbGZ3T3_k.mp4/QXYbGZ3T3_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QXYbGZ3T3_k.m3u8/QXYbGZ3T3_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QXYbGZ3T3_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187396", "sha": "eece5362999d30acb9dcf5e5e1dd9edf08df42bc", "translated_description": "Collision of the Milky Way Galaxy with Andromeda (forming \"Milkomeda\")", "image_url": "https://img.youtube.com/vi/QXYbGZ3T3_k/hqdefault.jpg", "youtube_id": "QXYbGZ3T3_k", "content_kind": "Video", "readable_id": "galactic-collisions"}], "twitter_url": "", "translated_description": "Quasars are the brightest objects in the universe. The gamma rays from them could sterilize a solar system (i.e. obliterate life). What do we think these objects are? Why don't we see any close by (which we should be thankful for)? Could they tell us what our own galaxy may have been like 1 billion or so years ago?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Quasars are the brightest objects in the universe. The gamma rays from them could sterilize a solar system (i.e. obliterate life). What do we think these objects are? Why don't we see any close by (which we should be thankful for)? Could they tell us what our own galaxy may have been like 1 billion or so years ago?", "x_pos": 0.0, "node_slug": "quasars", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe6a7ce95", "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/quasars", "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/quasars", "slug": "quasars", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "653a1d77dfcc9b5ed35ebe389dfdc75094405cbc", "standalone_title": "Quasars and galactive collisions", "y_pos": 0.0, "current_revision_key": "653a1d77dfcc9b5ed35ebe389dfdc75094405cbc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial", "translated_standalone_title": "Stellar parallax", "translated_title": "Stellar parallax", "gplus_url": "", "id": "x0b998516", "old_key_name": "D3h9xGOrIfJIPPro8v89ahjbtjxKiUES4irkpqFM", "hide": false, "title": "Stellar parallax", "child_data": [{"kind": "Video", "id": 8187361}, {"kind": "Video", "id": 145846956}, {"kind": "Video", "id": 8187362}, {"kind": "Video", "id": 8187363}, {"kind": "Video", "id": 8187364}], "children": [{"translated_youtube_id": "ETzUpoqZIHY", "relative_url": "/video/parallax-in-observing-stars", "has_questions": false, "keywords": "Parallax, in, Observing, Stars", "ka_url": "http://www.khanacademy.org/video/parallax-in-observing-stars", "duration": 441, "translated_title": "Parallax in observing stars", "translated_description_html": "Parallax in Observing Stars", "id": "8187361", "description_html": "Parallax in Observing Stars", "title": "Parallax in observing stars", "progress_key": "v8187361", "edit_slug": "edit/v/8187361", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parallax in Observing Stars", "extra_properties": null, "node_slug": "v/parallax-in-observing-stars", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ETzUpoqZIHY.mp4/ETzUpoqZIHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ETzUpoqZIHY.mp4/ETzUpoqZIHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ETzUpoqZIHY.m3u8/ETzUpoqZIHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ETzUpoqZIHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187361", "sha": "fbe307ba74e56d059109d9d033268a67649bc5c1", "translated_description": "Parallax in Observing Stars", "image_url": "https://img.youtube.com/vi/ETzUpoqZIHY/hqdefault.jpg", "youtube_id": "ETzUpoqZIHY", "content_kind": "Video", "readable_id": "parallax-in-observing-stars"}, {"translated_youtube_id": "omvNINaRdxg", "relative_url": "/video/stellar-parallax", "has_questions": false, "keywords": "stellar, parallax", "ka_url": "http://www.khanacademy.org/video/stellar-parallax", "duration": 566, "translated_title": "Stellar parallax", "translated_description_html": "Another version of the stellar parallax introduction", "id": "145846956", "description_html": "Another version of the stellar parallax introduction", "title": "Stellar parallax", "progress_key": "v145846956", "edit_slug": "edit/v/145846956", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Another version of the stellar parallax introduction", "extra_properties": null, "node_slug": "v/stellar-parallax", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-11T23:29:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/omvNINaRdxg.mp4/omvNINaRdxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/omvNINaRdxg.mp4/omvNINaRdxg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/omvNINaRdxg.m3u8/omvNINaRdxg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=omvNINaRdxg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145846956", "sha": "a1490979c4cf321e3391a0a27e79f4304e5fec6d", "translated_description": "Another version of the stellar parallax introduction", "image_url": "https://img.youtube.com/vi/omvNINaRdxg/hqdefault.jpg", "youtube_id": "omvNINaRdxg", "content_kind": "Video", "readable_id": "stellar-parallax"}, {"translated_youtube_id": "lVadjWOjvV8", "relative_url": "/video/stellar-distance-using-parallax", "has_questions": false, "keywords": "Stellar, Distance, Using, Parallax", "ka_url": "http://www.khanacademy.org/video/stellar-distance-using-parallax", "duration": 700, "translated_title": "Stellar distance using parallax", "translated_description_html": "Stellar Distance Using Parallax", "id": "8187362", "description_html": "Stellar Distance Using Parallax", "title": "Stellar distance using parallax", "progress_key": "v8187362", "edit_slug": "edit/v/8187362", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stellar Distance Using Parallax", "extra_properties": null, "node_slug": "v/stellar-distance-using-parallax", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lVadjWOjvV8.mp4/lVadjWOjvV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lVadjWOjvV8.mp4/lVadjWOjvV8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lVadjWOjvV8.m3u8/lVadjWOjvV8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lVadjWOjvV8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187362", "sha": "7e71065d12a9273a689cae275b6078283b8fc73d", "translated_description": "Stellar Distance Using Parallax", "image_url": "https://img.youtube.com/vi/lVadjWOjvV8/hqdefault.jpg", "youtube_id": "lVadjWOjvV8", "content_kind": "Video", "readable_id": "stellar-distance-using-parallax"}, {"translated_youtube_id": "6FP-hLuAlr4", "relative_url": "/video/stellar-parallax-clarification", "has_questions": false, "keywords": "Stellar, Parallax, Clarification", "ka_url": "http://www.khanacademy.org/video/stellar-parallax-clarification", "duration": 142, "translated_title": "Stellar parallax clarification", "translated_description_html": "Stellar Parallax Clarification", "id": "8187363", "description_html": "Stellar Parallax Clarification", "title": "Stellar parallax clarification", "progress_key": "v8187363", "edit_slug": "edit/v/8187363", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stellar Parallax Clarification", "extra_properties": null, "node_slug": "v/stellar-parallax-clarification", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6FP-hLuAlr4.mp4/6FP-hLuAlr4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6FP-hLuAlr4.mp4/6FP-hLuAlr4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6FP-hLuAlr4.m3u8/6FP-hLuAlr4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6FP-hLuAlr4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187363", "sha": "ef976090ba338950ef9ddfe44a2aa99a2077215a", "translated_description": "Stellar Parallax Clarification", "image_url": "https://img.youtube.com/vi/6FP-hLuAlr4/hqdefault.jpg", "youtube_id": "6FP-hLuAlr4", "content_kind": "Video", "readable_id": "stellar-parallax-clarification"}, {"translated_youtube_id": "6zV3JEjLoyE", "relative_url": "/video/parsec-definition", "has_questions": false, "keywords": "Parsec, Definition, parallax, arsecond", "ka_url": "http://www.khanacademy.org/video/parsec-definition", "duration": 453, "translated_title": "Parsec definition", "translated_description_html": "Parsec Definition", "id": "8187364", "description_html": "Parsec Definition", "title": "Parsec definition", "progress_key": "v8187364", "edit_slug": "edit/v/8187364", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parsec Definition", "extra_properties": null, "node_slug": "v/parsec-definition", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6zV3JEjLoyE.mp4/6zV3JEjLoyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6zV3JEjLoyE.mp4/6zV3JEjLoyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6zV3JEjLoyE.m3u8/6zV3JEjLoyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6zV3JEjLoyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187364", "sha": "5c1be1e8bfcdefaaf871af5457f4791fc7bf22f6", "translated_description": "Parsec Definition", "image_url": "https://img.youtube.com/vi/6zV3JEjLoyE/hqdefault.jpg", "youtube_id": "6zV3JEjLoyE", "content_kind": "Video", "readable_id": "parsec-definition"}], "twitter_url": "", "translated_description": "We've talked a lot about distances to stars, but how do we know? Stellar parallax--which looks at how much a star shifts in the sky when Earth is at various points in its orbit--is the oldest technique we have for measuring how far stars are.\n\nIt is great for \"nearby\" stars even with precise instruments (i.e, in our part of our galaxy). To measure distance further, we have to start thinking about Cepheid variables (other tutorial).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We've talked a lot about distances to stars, but how do we know? Stellar parallax--which looks at how much a star shifts in the sky when Earth is at various points in its orbit--is the oldest technique we have for measuring how far stars are.\n\nIt is great for \"nearby\" stars even with precise instruments (i.e, in our part of our galaxy). To measure distance further, we have to start thinking about Cepheid variables (other tutorial).", "x_pos": 0.0, "node_slug": "stellar-parallax-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0b998516", "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial", "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial", "slug": "stellar-parallax-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "28c4cd0950ee9fb8b3282ab92ce502c8307f58bd", "standalone_title": "Stellar parallax", "y_pos": 0.0, "current_revision_key": "28c4cd0950ee9fb8b3282ab92ce502c8307f58bd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables", "translated_standalone_title": "Cepheid variables", "translated_title": "Cepheid variables", "gplus_url": "", "id": "xe2c51a1f", "old_key_name": "StV327vsun3pPnyR6c9n4jKfz6WoBY_XgvfP5Qkj", "hide": false, "title": "Cepheid variables", "child_data": [{"kind": "Video", "id": 8187390}, {"kind": "Video", "id": 8187391}, {"kind": "Video", "id": 8187392}], "children": [{"translated_youtube_id": "BWs-ONRDDG4", "relative_url": "/video/cepheid-variables-1", "has_questions": false, "keywords": "Cepheid, Variables, Henrietta, Swan, leavitt, magellanic, cloud", "ka_url": "http://www.khanacademy.org/video/cepheid-variables-1", "duration": 563, "translated_title": "Cepheid variables 1", "translated_description_html": "Cepheid Variables 1", "id": "8187390", "description_html": "Cepheid Variables 1", "title": "Cepheid variables 1", "progress_key": "v8187390", "edit_slug": "edit/v/8187390", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cepheid Variables 1", "extra_properties": null, "node_slug": "v/cepheid-variables-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BWs-ONRDDG4.mp4/BWs-ONRDDG4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BWs-ONRDDG4.mp4/BWs-ONRDDG4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BWs-ONRDDG4.m3u8/BWs-ONRDDG4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BWs-ONRDDG4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187390", "sha": "1851a60f8d9656b009f80ac8f320831d5b3c4b81", "translated_description": "Cepheid Variables 1", "image_url": "https://img.youtube.com/vi/BWs-ONRDDG4/hqdefault.jpg", "youtube_id": "BWs-ONRDDG4", "content_kind": "Video", "readable_id": "cepheid-variables-1"}, {"translated_youtube_id": "X_3QAB3o4Vw", "relative_url": "/video/why-cepheids-pulsate", "has_questions": false, "keywords": "Why, Cepheids, Pulsate", "ka_url": "http://www.khanacademy.org/video/why-cepheids-pulsate", "duration": 430, "translated_title": "Why cepheids pulsate", "translated_description_html": "Why Cepheids Pulsate", "id": "8187391", "description_html": "Why Cepheids Pulsate", "title": "Why cepheids pulsate", "progress_key": "v8187391", "edit_slug": "edit/v/8187391", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why Cepheids Pulsate", "extra_properties": null, "node_slug": "v/why-cepheids-pulsate", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X_3QAB3o4Vw.mp4/X_3QAB3o4Vw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X_3QAB3o4Vw.mp4/X_3QAB3o4Vw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X_3QAB3o4Vw.m3u8/X_3QAB3o4Vw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X_3QAB3o4Vw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187391", "sha": "6b52db5810e7bd33d7a90648440d43a45061cfcf", "translated_description": "Why Cepheids Pulsate", "image_url": "https://img.youtube.com/vi/X_3QAB3o4Vw/hqdefault.jpg", "youtube_id": "X_3QAB3o4Vw", "content_kind": "Video", "readable_id": "why-cepheids-pulsate"}, {"translated_youtube_id": "RpOHZc6cDIw", "relative_url": "/video/why-gravity-gets-so-strong-near-dense-objects", "has_questions": false, "keywords": "Why, Gravity, Gets, So, Strong, Near, Dense, Objects, Black, hole, marquee", "ka_url": "http://www.khanacademy.org/video/why-gravity-gets-so-strong-near-dense-objects", "duration": 493, "translated_title": "Why gravity gets so strong near dense objects", "translated_description_html": "Why Gravity Gets So Strong Near Dense Objects", "id": "8187392", "description_html": "Why Gravity Gets So Strong Near Dense Objects", "title": "Why gravity gets so strong near dense objects", "progress_key": "v8187392", "edit_slug": "edit/v/8187392", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why Gravity Gets So Strong Near Dense Objects", "extra_properties": null, "node_slug": "v/why-gravity-gets-so-strong-near-dense-objects", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RpOHZc6cDIw.mp4/RpOHZc6cDIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RpOHZc6cDIw.mp4/RpOHZc6cDIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RpOHZc6cDIw.m3u8/RpOHZc6cDIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RpOHZc6cDIw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187392", "sha": "a62de183ff7c183ad9c1e2465342245c82d149dd", "translated_description": "Why Gravity Gets So Strong Near Dense Objects", "image_url": "https://img.youtube.com/vi/RpOHZc6cDIw/hqdefault.jpg", "youtube_id": "RpOHZc6cDIw", "content_kind": "Video", "readable_id": "why-gravity-gets-so-strong-near-dense-objects"}], "twitter_url": "", "translated_description": "Stellar parallax can be used for \"nearby\" stars, but what if we want to measure further out? Well this tutorial will expose you to a class of stars that helps us do this. Cepheids are large, bright, variable stars that are visible in other galaxies. We know how bright they should be and can gauge how far they are by how bright they look to us.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Stellar parallax can be used for \"nearby\" stars, but what if we want to measure further out? Well this tutorial will expose you to a class of stars that helps us do this. Cepheids are large, bright, variable stars that are visible in other galaxies. We know how bright they should be and can gauge how far they are by how bright they look to us.", "x_pos": 0.0, "node_slug": "cepheid-variables", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe2c51a1f", "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables", "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables", "slug": "cepheid-variables", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f716c9700f46e3229aaf17d2b769240e7a5ab87d", "standalone_title": "Cepheid variables", "y_pos": 0.0, "current_revision_key": "f716c9700f46e3229aaf17d2b769240e7a5ab87d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Our universe is defined by stars. This topic explores how they came to be and where they end up. This includes a discussion of black holes and galaxies.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Our universe is defined by stars. This topic explores how they came to be and where they end up. This includes a discussion of black holes and galaxies.", "x_pos": 0.0, "node_slug": "stellar-life-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ba2bf5b", "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic", "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic", "slug": "stellar-life-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9b5526a70aa1ca26485b6a2b739c37dcbfa187d4", "standalone_title": "Life (and death) of stars", "y_pos": 0.0, "current_revision_key": "9b5526a70aa1ca26485b6a2b739c37dcbfa187d4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/earth-history-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic", "translated_standalone_title": "Earth geological and climatic history", "translated_title": "Earth geological and climatic history", "gplus_url": "", "id": "x860f890e", "old_key_name": "elmUKpnsC0FvnCiiwlMsWxs8C9yduR1Zy_HtpONu", "hide": false, "title": "Earth geological and climatic history", "child_data": [{"kind": "Topic", "id": "xebbd27ba"}, {"kind": "Topic", "id": "x86341b65"}, {"kind": "Topic", "id": "xd0074f33"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics", "translated_standalone_title": "Plate tectonics", "translated_title": "Plate tectonics", "gplus_url": "", "id": "xebbd27ba", "old_key_name": "J7xfBd3f1YYmGmznxthPQc7PoQAt5m0ds88f3ruz", "hide": false, "title": "Plate tectonics", "child_data": [{"kind": "Video", "id": 13179436}, {"kind": "Video", "id": 13179437}, {"kind": "Video", "id": 13179438}, {"kind": "Video", "id": 13179439}, {"kind": "Video", "id": 13179440}, {"kind": "Video", "id": 13179441}, {"kind": "Video", "id": 13179442}, {"kind": "Video", "id": 13179459}, {"kind": "Video", "id": 13179443}, {"kind": "Video", "id": 13179458}], "children": [{"translated_youtube_id": "f2BWsPVN7c4", "relative_url": "/video/plate-tectonics---difference-between-crust-and-lithosphere", "has_questions": false, "keywords": "Plate, Tectonics--, Difference, between, crust, and, lithosphere", "ka_url": "http://www.khanacademy.org/video/plate-tectonics---difference-between-crust-and-lithosphere", "duration": 479, "translated_title": "Plate tectonics: Difference between crust and lithosphere", "translated_description_html": "Plate Tectonics Introduction and Difference between crust and lithosphere", "id": "13179436", "description_html": "Plate Tectonics Introduction and Difference between crust and lithosphere", "title": "Plate tectonics: Difference between crust and lithosphere", "progress_key": "v13179436", "edit_slug": "edit/v/13179436", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plate Tectonics Introduction and Difference between crust and lithosphere", "extra_properties": null, "node_slug": "v/plate-tectonics---difference-between-crust-and-lithosphere", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f2BWsPVN7c4.mp4/f2BWsPVN7c4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f2BWsPVN7c4.mp4/f2BWsPVN7c4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f2BWsPVN7c4.m3u8/f2BWsPVN7c4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f2BWsPVN7c4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179436", "sha": "557eca85413ee7548a66cd4f571a184704bb3a20", "translated_description": "Plate Tectonics Introduction and Difference between crust and lithosphere", "image_url": "https://img.youtube.com/vi/f2BWsPVN7c4/hqdefault.jpg", "youtube_id": "f2BWsPVN7c4", "content_kind": "Video", "readable_id": "plate-tectonics---difference-between-crust-and-lithosphere"}, {"translated_youtube_id": "4AxZ-6MOznY", "relative_url": "/video/structure-of-the-earth", "has_questions": false, "keywords": "geology, lithosphere, asthenosphere", "ka_url": "http://www.khanacademy.org/video/structure-of-the-earth", "duration": 573, "translated_title": "Structure of the earth", "translated_description_html": "Structure of the Earth - crust, mantle, core", "id": "13179437", "description_html": "Structure of the Earth - crust, mantle, core", "title": "Structure of the earth", "progress_key": "v13179437", "edit_slug": "edit/v/13179437", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Structure of the Earth - crust, mantle, core", "extra_properties": null, "node_slug": "v/structure-of-the-earth", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4AxZ-6MOznY.mp4/4AxZ-6MOznY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4AxZ-6MOznY.mp4/4AxZ-6MOznY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4AxZ-6MOznY.m3u8/4AxZ-6MOznY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4AxZ-6MOznY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179437", "sha": "39f9a89670f7355b0095193ce3c6039b4529a515", "translated_description": "Structure of the Earth - crust, mantle, core", "image_url": "https://img.youtube.com/vi/4AxZ-6MOznY/hqdefault.jpg", "youtube_id": "4AxZ-6MOznY", "content_kind": "Video", "readable_id": "structure-of-the-earth"}, {"translated_youtube_id": "6EdsBabSZ4g", "relative_url": "/video/plate-tectonics----evidence-of-plate-movement", "has_questions": false, "keywords": "Plate, Tectonics, Evidence, of, movement, magnetic, field, marquee", "ka_url": "http://www.khanacademy.org/video/plate-tectonics----evidence-of-plate-movement", "duration": 798, "translated_title": "Plate tectonics: Evidence of plate movement", "translated_description_html": "Plate Tectonics -- Evidence of plate movement", "id": "13179438", "description_html": "Plate Tectonics -- Evidence of plate movement", "title": "Plate tectonics: Evidence of plate movement", "progress_key": "v13179438", "edit_slug": "edit/v/13179438", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plate Tectonics -- Evidence of plate movement", "extra_properties": null, "node_slug": "v/plate-tectonics----evidence-of-plate-movement", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6EdsBabSZ4g.mp4/6EdsBabSZ4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6EdsBabSZ4g.mp4/6EdsBabSZ4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6EdsBabSZ4g.m3u8/6EdsBabSZ4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6EdsBabSZ4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179438", "sha": "15ce6357cf580c353e3dadfce818eb5dafcf69cf", "translated_description": "Plate Tectonics -- Evidence of plate movement", "image_url": "https://img.youtube.com/vi/6EdsBabSZ4g/hqdefault.jpg", "youtube_id": "6EdsBabSZ4g", "content_kind": "Video", "readable_id": "plate-tectonics----evidence-of-plate-movement"}, {"translated_youtube_id": "FK1s1-OJ5BE", "relative_url": "/video/plate-tectonics----geological-features-of-divergent-plate-boundaries", "has_questions": false, "keywords": "Plate, Tectonics, --, Geological, Features, of, Divergent, Boundaries", "ka_url": "http://www.khanacademy.org/video/plate-tectonics----geological-features-of-divergent-plate-boundaries", "duration": 718, "translated_title": "Plate tectonics: Geological features of divergent plate boundaries", "translated_description_html": "Plate Tectonics -- Geological Features of Divergent Plate Boundaries", "id": "13179439", "description_html": "Plate Tectonics -- Geological Features of Divergent Plate Boundaries", "title": "Plate tectonics: Geological features of divergent plate boundaries", "progress_key": "v13179439", "edit_slug": "edit/v/13179439", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plate Tectonics -- Geological Features of Divergent Plate Boundaries", "extra_properties": null, "node_slug": "v/plate-tectonics----geological-features-of-divergent-plate-boundaries", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FK1s1-OJ5BE.mp4/FK1s1-OJ5BE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FK1s1-OJ5BE.mp4/FK1s1-OJ5BE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FK1s1-OJ5BE.m3u8/FK1s1-OJ5BE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FK1s1-OJ5BE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179439", "sha": "6b3534294373ec4c72de75370abc44a9b8a52950", "translated_description": "Plate Tectonics -- Geological Features of Divergent Plate Boundaries", "image_url": "https://img.youtube.com/vi/FK1s1-OJ5BE/hqdefault.jpg", "youtube_id": "FK1s1-OJ5BE", "content_kind": "Video", "readable_id": "plate-tectonics----geological-features-of-divergent-plate-boundaries"}, {"translated_youtube_id": "Y0eWnOZpSpQ", "relative_url": "/video/plate-tectonics---geological-features-of-convergent-plate-boundaries", "has_questions": false, "keywords": "Geological, features, of, Convergent, Plate, Boundaries", "ka_url": "http://www.khanacademy.org/video/plate-tectonics---geological-features-of-convergent-plate-boundaries", "duration": 364, "translated_title": "Plate tectonics: Geological features of convergent plate boundaries", "translated_description_html": "Geological features of Convergent Plate Boundaries", "id": "13179440", "description_html": "Geological features of Convergent Plate Boundaries", "title": "Plate tectonics: Geological features of convergent plate boundaries", "progress_key": "v13179440", "edit_slug": "edit/v/13179440", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Geological features of Convergent Plate Boundaries", "extra_properties": null, "node_slug": "v/plate-tectonics---geological-features-of-convergent-plate-boundaries", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y0eWnOZpSpQ.mp4/Y0eWnOZpSpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y0eWnOZpSpQ.mp4/Y0eWnOZpSpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y0eWnOZpSpQ.m3u8/Y0eWnOZpSpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y0eWnOZpSpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179440", "sha": "a064bf9cf5c682389684c4b0ed180feb243f37c5", "translated_description": "Geological features of Convergent Plate Boundaries", "image_url": "https://img.youtube.com/vi/Y0eWnOZpSpQ/hqdefault.jpg", "youtube_id": "Y0eWnOZpSpQ", "content_kind": "Video", "readable_id": "plate-tectonics---geological-features-of-convergent-plate-boundaries"}, {"translated_youtube_id": "f8GK2oEN-uI", "relative_url": "/video/plates-moving-due-to-convection-in-mantle", "has_questions": false, "keywords": "geology, tectonics, plate", "ka_url": "http://www.khanacademy.org/video/plates-moving-due-to-convection-in-mantle", "duration": 362, "translated_title": "Plates moving due to convection in mantle", "translated_description_html": "Plates Moving Due to Convection in Mantle", "id": "13179441", "description_html": "Plates Moving Due to Convection in Mantle", "title": "Plates moving due to convection in mantle", "progress_key": "v13179441", "edit_slug": "edit/v/13179441", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Plates Moving Due to Convection in Mantle", "extra_properties": null, "node_slug": "v/plates-moving-due-to-convection-in-mantle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f8GK2oEN-uI.mp4/f8GK2oEN-uI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f8GK2oEN-uI.mp4/f8GK2oEN-uI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f8GK2oEN-uI.m3u8/f8GK2oEN-uI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f8GK2oEN-uI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179441", "sha": "50fe7cec1964b0b4f40240bf205d0025381aae6a", "translated_description": "Plates Moving Due to Convection in Mantle", "image_url": "https://img.youtube.com/vi/f8GK2oEN-uI/hqdefault.jpg", "youtube_id": "f8GK2oEN-uI", "content_kind": "Video", "readable_id": "plates-moving-due-to-convection-in-mantle"}, {"translated_youtube_id": "D1eibbfAEVk", "relative_url": "/video/hawaiian-islands-formation", "has_questions": false, "keywords": "geology, mantle, plume, marquee", "ka_url": "http://www.khanacademy.org/video/hawaiian-islands-formation", "duration": 481, "translated_title": "Hawaiian islands formation", "translated_description_html": "Hawaiian Islands formed by stationary hot spot under Pacific plate", "id": "13179442", "description_html": "Hawaiian Islands formed by stationary hot spot under Pacific plate", "title": "Hawaiian islands formation", "progress_key": "v13179442", "edit_slug": "edit/v/13179442", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hawaiian Islands formed by stationary hot spot under Pacific plate", "extra_properties": null, "node_slug": "v/hawaiian-islands-formation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1eibbfAEVk.mp4/D1eibbfAEVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1eibbfAEVk.mp4/D1eibbfAEVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D1eibbfAEVk.m3u8/D1eibbfAEVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D1eibbfAEVk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179442", "sha": "2981aa8d42c1b4d314af5c60769cdb2615174d7a", "translated_description": "Hawaiian Islands formed by stationary hot spot under Pacific plate", "image_url": "https://img.youtube.com/vi/D1eibbfAEVk/hqdefault.jpg", "youtube_id": "D1eibbfAEVk", "content_kind": "Video", "readable_id": "hawaiian-islands-formation"}, {"translated_youtube_id": "axB6uhEx628", "relative_url": "/video/pangaea", "has_questions": false, "keywords": "Pangaea, pangea, marquee", "ka_url": "http://www.khanacademy.org/video/pangaea", "duration": 358, "translated_title": "Pangaea", "translated_description_html": "Pangaea - the idea of Pangaea and some of the evidence behind it", "id": "13179459", "description_html": "Pangaea - the idea of Pangaea and some of the evidence behind it", "title": "Pangaea", "progress_key": "v13179459", "edit_slug": "edit/v/13179459", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pangaea - the idea of Pangaea and some of the evidence behind it", "extra_properties": null, "node_slug": "v/pangaea", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:38:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/axB6uhEx628.mp4/axB6uhEx628.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/axB6uhEx628.mp4/axB6uhEx628.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/axB6uhEx628.m3u8/axB6uhEx628.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=axB6uhEx628&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179459", "sha": "c5781dfd09cade648472fcbc647f3b6d21319bb4", "translated_description": "Pangaea - the idea of Pangaea and some of the evidence behind it", "image_url": "https://img.youtube.com/vi/axB6uhEx628/hqdefault.jpg", "youtube_id": "axB6uhEx628", "content_kind": "Video", "readable_id": "pangaea"}, {"translated_youtube_id": "hHteUIS0OFY", "relative_url": "/video/compositional-and-mechanical-layers-of-the-earth", "has_questions": false, "keywords": "geology, layers, of, earth, mechanical", "ka_url": "http://www.khanacademy.org/video/compositional-and-mechanical-layers-of-the-earth", "duration": 710, "translated_title": "Compositional and mechanical layers of the earth", "translated_description_html": "Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core", "id": "13179443", "description_html": "Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core", "title": "Compositional and mechanical layers of the earth", "progress_key": "v13179443", "edit_slug": "edit/v/13179443", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core", "extra_properties": null, "node_slug": "v/compositional-and-mechanical-layers-of-the-earth", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hHteUIS0OFY.mp4/hHteUIS0OFY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hHteUIS0OFY.mp4/hHteUIS0OFY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hHteUIS0OFY.m3u8/hHteUIS0OFY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hHteUIS0OFY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179443", "sha": "ea1890d8d5a237e74321f86394ed5a7aec9dedef", "translated_description": "Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core", "image_url": "https://img.youtube.com/vi/hHteUIS0OFY/hqdefault.jpg", "youtube_id": "hHteUIS0OFY", "content_kind": "Video", "readable_id": "compositional-and-mechanical-layers-of-the-earth"}, {"translated_youtube_id": "KL0i1RSnpfI", "relative_url": "/video/how-we-know-about-the-earth-s-core", "has_questions": false, "keywords": "geology, seismology", "ka_url": "http://www.khanacademy.org/video/how-we-know-about-the-earth-s-core", "duration": 349, "translated_title": "How we know about the earth's core", "translated_description_html": "S-wave shadow and P-wave detection patterns give us information about the core", "id": "13179458", "description_html": "S-wave shadow and P-wave detection patterns give us information about the core", "title": "How we know about the earth's core", "progress_key": "v13179458", "edit_slug": "edit/v/13179458", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "S-wave shadow and P-wave detection patterns give us information about the core", "extra_properties": null, "node_slug": "v/how-we-know-about-the-earth-s-core", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:38:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KL0i1RSnpfI.mp4/KL0i1RSnpfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KL0i1RSnpfI.mp4/KL0i1RSnpfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KL0i1RSnpfI.m3u8/KL0i1RSnpfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KL0i1RSnpfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179458", "sha": "c2b756cb22c25e626d78e011d7889eb0df873914", "translated_description": "S-wave shadow and P-wave detection patterns give us information about the core", "image_url": "https://img.youtube.com/vi/KL0i1RSnpfI/hqdefault.jpg", "youtube_id": "KL0i1RSnpfI", "content_kind": "Video", "readable_id": "how-we-know-about-the-earth-s-core"}], "twitter_url": "", "translated_description": "Is it a coincidence that Africa and South America could fit like puzzle pieces? Why do earthquakes happen where they do? What about volcanoes and mountains? Are all of these ideas linked? Yes, they are.\n\nThis tutorial on plate-tectonics explains how and why the continents have shifted over time. In the process, we also explore the structure of the Earth, all the way down to the core.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Is it a coincidence that Africa and South America could fit like puzzle pieces? Why do earthquakes happen where they do? What about volcanoes and mountains? Are all of these ideas linked? Yes, they are.\n\nThis tutorial on plate-tectonics explains how and why the continents have shifted over time. In the process, we also explore the structure of the Earth, all the way down to the core.", "x_pos": 0.0, "node_slug": "plate-techtonics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axebbd27ba", "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics", "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/plate-techtonics", "slug": "plate-techtonics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c2f6927552d5b241989490329224fcc8e277f36d", "standalone_title": "Plate tectonics", "y_pos": 0.0, "current_revision_key": "c2f6927552d5b241989490329224fcc8e277f36d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial", "translated_standalone_title": "Seismic waves and how we know Earth's structure", "translated_title": "Seismic waves and how we know earth's structure", "gplus_url": "", "id": "x86341b65", "old_key_name": "3AE71Re-MtvvuhzIEtDuRBySiwV17oeEg88xx_PO", "hide": false, "title": "Seismic waves and how we know earth's structure", "child_data": [{"kind": "Video", "id": 13179444}, {"kind": "Video", "id": 13179455}, {"kind": "Video", "id": 13179456}, {"kind": "Video", "id": 13179457}], "children": [{"translated_youtube_id": "NhioAAdYDJM", "relative_url": "/video/seismic-waves", "has_questions": false, "keywords": "seismology, geology", "ka_url": "http://www.khanacademy.org/video/seismic-waves", "duration": 518, "translated_title": "Seismic waves", "translated_description_html": "S-waves and P-waves", "id": "13179444", "description_html": "S-waves and P-waves", "title": "Seismic waves", "progress_key": "v13179444", "edit_slug": "edit/v/13179444", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "S-waves and P-waves", "extra_properties": null, "node_slug": "v/seismic-waves", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NhioAAdYDJM.mp4/NhioAAdYDJM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NhioAAdYDJM.mp4/NhioAAdYDJM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NhioAAdYDJM.m3u8/NhioAAdYDJM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NhioAAdYDJM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179444", "sha": "eeea9702dd895832d8abd4057d872729fda4e300", "translated_description": "S-waves and P-waves", "image_url": "https://img.youtube.com/vi/NhioAAdYDJM/hqdefault.jpg", "youtube_id": "NhioAAdYDJM", "content_kind": "Video", "readable_id": "seismic-waves"}, {"translated_youtube_id": "BTWLwoaNeBA", "relative_url": "/video/why-s-waves-only-travel-in-solids", "has_questions": false, "keywords": "Why, S-Waves, Only, Travel, in, Solids", "ka_url": "http://www.khanacademy.org/video/why-s-waves-only-travel-in-solids", "duration": 255, "translated_title": "Why S-waves only travel in solids", "translated_description_html": "Why S-Waves Only Travel in Solids", "id": "13179455", "description_html": "Why S-Waves Only Travel in Solids", "title": "Why S-waves only travel in solids", "progress_key": "v13179455", "edit_slug": "edit/v/13179455", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why S-Waves Only Travel in Solids", "extra_properties": null, "node_slug": "v/why-s-waves-only-travel-in-solids", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-02-20T16:38:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTWLwoaNeBA.mp4/BTWLwoaNeBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTWLwoaNeBA.mp4/BTWLwoaNeBA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BTWLwoaNeBA.m3u8/BTWLwoaNeBA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BTWLwoaNeBA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179455", "sha": "7b21f2de2173d7cfc904296072c7d0115d9c5c8e", "translated_description": "Why S-Waves Only Travel in Solids", "image_url": "https://img.youtube.com/vi/BTWLwoaNeBA/hqdefault.jpg", "youtube_id": "BTWLwoaNeBA", "content_kind": "Video", "readable_id": "why-s-waves-only-travel-in-solids"}, {"translated_youtube_id": "UNZ171fDja4", "relative_url": "/video/refraction-of-seismic-waves", "has_questions": false, "keywords": "Refraction, of, Seismic, Waves", "ka_url": "http://www.khanacademy.org/video/refraction-of-seismic-waves", "duration": 562, "translated_title": "Refraction of seismic waves", "translated_description_html": "Refraction of Seismic Waves", "id": "13179456", "description_html": "Refraction of Seismic Waves", "title": "Refraction of seismic waves", "progress_key": "v13179456", "edit_slug": "edit/v/13179456", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Refraction of Seismic Waves", "extra_properties": null, "node_slug": "v/refraction-of-seismic-waves", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:38:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UNZ171fDja4.mp4/UNZ171fDja4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UNZ171fDja4.mp4/UNZ171fDja4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UNZ171fDja4.m3u8/UNZ171fDja4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UNZ171fDja4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179456", "sha": "1e862d3127d91260694be6e0a37bf136fa0eaae7", "translated_description": "Refraction of Seismic Waves", "image_url": "https://img.youtube.com/vi/UNZ171fDja4/hqdefault.jpg", "youtube_id": "UNZ171fDja4", "content_kind": "Video", "readable_id": "refraction-of-seismic-waves"}, {"translated_youtube_id": "yAQSucmHrAk", "relative_url": "/video/the-mohorovicic-seismic-discontinuity", "has_questions": false, "keywords": "geology, seismology, moho", "ka_url": "http://www.khanacademy.org/video/the-mohorovicic-seismic-discontinuity", "duration": 373, "translated_title": "The mohorovicic seismic discontinuity", "translated_description_html": "The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)", "id": "13179457", "description_html": "The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)", "title": "The mohorovicic seismic discontinuity", "progress_key": "v13179457", "edit_slug": "edit/v/13179457", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)", "extra_properties": null, "node_slug": "v/the-mohorovicic-seismic-discontinuity", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:38:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yAQSucmHrAk.mp4/yAQSucmHrAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yAQSucmHrAk.mp4/yAQSucmHrAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yAQSucmHrAk.m3u8/yAQSucmHrAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yAQSucmHrAk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179457", "sha": "2598ba6f9acf0565a9b9b01a8e4f0efa9a1ac353", "translated_description": "The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)", "image_url": "https://img.youtube.com/vi/yAQSucmHrAk/hqdefault.jpg", "youtube_id": "yAQSucmHrAk", "content_kind": "Video", "readable_id": "the-mohorovicic-seismic-discontinuity"}], "twitter_url": "", "translated_description": "How do we know what the Earth is made up of? Has someone dug to the core? No, but we humans have been able to see how earthquake (seismic) waves have been bent and reflected through our planet to get a reasonable idea of what is down there.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How do we know what the Earth is made up of? Has someone dug to the core? No, but we humans have been able to see how earthquake (seismic) waves have been bent and reflected through our planet to get a reasonable idea of what is down there.", "x_pos": 0.0, "node_slug": "seismic-waves-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax86341b65", "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial", "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial", "slug": "seismic-waves-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7047e1937f0a8c19fad281c89c934841c31c450c", "standalone_title": "Seismic waves and how we know Earth's structure", "y_pos": 0.0, "current_revision_key": "7047e1937f0a8c19fad281c89c934841c31c450c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic", "translated_standalone_title": "Earth's rotation and tilt", "translated_title": "Earth's rotation and tilt", "gplus_url": "", "id": "xd0074f33", "old_key_name": "Fg0R7b0hg0wZMZK8zMfXtAQKrM_oiY7WNcvMPigg", "hide": false, "title": "Earth's rotation and tilt", "child_data": [{"kind": "Video", "id": 150055884}, {"kind": "Scratchpad", "id": 2131015999}, {"kind": "Video", "id": 150055883}, {"kind": "Video", "id": 152085900}, {"kind": "Video", "id": 150055882}, {"kind": "Video", "id": 152085903}, {"kind": "Video", "id": 152085901}, {"kind": "Video", "id": 152085902}], "children": [{"translated_youtube_id": "SJUd5du0T08", "relative_url": "/video/seasons-aren-t-dictated-by-closeness-to-sun", "has_questions": false, "keywords": "perihelion, aphelion", "ka_url": "http://www.khanacademy.org/video/seasons-aren-t-dictated-by-closeness-to-sun", "duration": 279, "translated_title": "Seasons aren't dictated by closeness to sun", "translated_description_html": "Why our closeness to the sun does not dictate the seasons", "id": "150055884", "description_html": "Why our closeness to the sun does not dictate the seasons", "title": "Seasons aren't dictated by closeness to sun", "progress_key": "v150055884", "edit_slug": "edit/v/150055884", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why our closeness to the sun does not dictate the seasons", "extra_properties": null, "node_slug": "v/seasons-aren-t-dictated-by-closeness-to-sun", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SJUd5du0T08.mp4/SJUd5du0T08.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SJUd5du0T08.mp4/SJUd5du0T08.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SJUd5du0T08.m3u8/SJUd5du0T08.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SJUd5du0T08&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150055884", "sha": "983b8f70ed55d15e2e95629f6d2019e0c0b0cb12", "translated_description": "Why our closeness to the sun does not dictate the seasons", "image_url": "https://img.youtube.com/vi/SJUd5du0T08/hqdefault.jpg", "youtube_id": "SJUd5du0T08", "content_kind": "Video", "readable_id": "seasons-aren-t-dictated-by-closeness-to-sun"}, {"translated_youtube_id": "05qDIjKevJo", "relative_url": "/video/how-earth-s-tilt-causes-seasons", "has_questions": false, "keywords": "earth, science, seasons, tilt, obliquity", "ka_url": "http://www.khanacademy.org/video/how-earth-s-tilt-causes-seasons", "duration": 1247, "translated_title": "How earth's tilt causes seasons", "translated_description_html": "How being Earth's tilt causes seasons", "id": "150055883", "description_html": "How being Earth's tilt causes seasons", "title": "How earth's tilt causes seasons", "progress_key": "v150055883", "edit_slug": "edit/v/150055883", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How being Earth's tilt causes seasons", "extra_properties": null, "node_slug": "v/how-earth-s-tilt-causes-seasons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-07-13T23:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/05qDIjKevJo.mp4/05qDIjKevJo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/05qDIjKevJo.mp4/05qDIjKevJo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/05qDIjKevJo.m3u8/05qDIjKevJo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=05qDIjKevJo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150055883", "sha": "cfff16838453d687b3328a0a47423dd66b86fbe7", "translated_description": "How being Earth's tilt causes seasons", "image_url": "https://img.youtube.com/vi/05qDIjKevJo/hqdefault.jpg", "youtube_id": "05qDIjKevJo", "content_kind": "Video", "readable_id": "how-earth-s-tilt-causes-seasons"}, {"translated_youtube_id": "umvNQj-zmq4", "relative_url": "/video/are-southern-hemisphere-seasons-more-severe", "has_questions": false, "keywords": "earth, ellipse, perihelion, aphelion, seasons, specific, heat", "ka_url": "http://www.khanacademy.org/video/are-southern-hemisphere-seasons-more-severe", "duration": 437, "translated_title": "Are southern hemisphere seasons more severe?", "translated_description_html": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", "id": "152085900", "description_html": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", "title": "Are southern hemisphere seasons more severe?", "progress_key": "v152085900", "edit_slug": "edit/v/152085900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", "extra_properties": null, "node_slug": "v/are-southern-hemisphere-seasons-more-severe", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-14T23:28:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.mp4/umvNQj-zmq4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.mp4/umvNQj-zmq4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.m3u8/umvNQj-zmq4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=umvNQj-zmq4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v152085900", "sha": "2cf60543792eb6e53b5463b6084efd81e15d4bac", "translated_description": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", "image_url": "https://img.youtube.com/vi/umvNQj-zmq4/hqdefault.jpg", "youtube_id": "umvNQj-zmq4", "content_kind": "Video", "readable_id": "are-southern-hemisphere-seasons-more-severe"}, {"translated_youtube_id": "ZD8THEz18gc", "relative_url": "/video/milankovitch-cycles---precession-and-obliquity", "has_questions": false, "keywords": "Milankovitch, Cycles, Precession, and, Obliquity", "ka_url": "http://www.khanacademy.org/video/milankovitch-cycles---precession-and-obliquity", "duration": 777, "translated_title": "Milankovitch cycles precession and obliquity", "translated_description_html": "How changes in Earth's rotation can effect Earth's seasons and climate", "id": "150055882", "description_html": "How changes in Earth's rotation can effect Earth's seasons and climate", "title": "Milankovitch cycles precession and obliquity", "progress_key": "v150055882", "edit_slug": "edit/v/150055882", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How changes in Earth's rotation can effect Earth's seasons and climate", "extra_properties": null, "node_slug": "v/milankovitch-cycles---precession-and-obliquity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-13T23:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZD8THEz18gc.mp4/ZD8THEz18gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZD8THEz18gc.mp4/ZD8THEz18gc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZD8THEz18gc.m3u8/ZD8THEz18gc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZD8THEz18gc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v150055882", "sha": "4218b9c2fae60ebfe951aa8f3b0bad060006a292", "translated_description": "How changes in Earth's rotation can effect Earth's seasons and climate", "image_url": "https://img.youtube.com/vi/ZD8THEz18gc/hqdefault.jpg", "youtube_id": "ZD8THEz18gc", "content_kind": "Video", "readable_id": "milankovitch-cycles---precession-and-obliquity"}, {"translated_youtube_id": "2o-Sef6wllg", "relative_url": "/video/precession-causing-perihelion-to-happen-later", "has_questions": false, "keywords": "astronomy, seasons, physics", "ka_url": "http://www.khanacademy.org/video/precession-causing-perihelion-to-happen-later", "duration": 724, "translated_title": "Precession causing perihelion to happen later", "translated_description_html": "Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion", "id": "152085903", "description_html": "Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion", "title": "Precession causing perihelion to happen later", "progress_key": "v152085903", "edit_slug": "edit/v/152085903", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion", "extra_properties": null, "node_slug": "v/precession-causing-perihelion-to-happen-later", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-14T23:28:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2o-Sef6wllg.mp4/2o-Sef6wllg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2o-Sef6wllg.mp4/2o-Sef6wllg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2o-Sef6wllg.m3u8/2o-Sef6wllg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2o-Sef6wllg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v152085903", "sha": "0587af119993bc232d02d6155a1f3b53b2b55036", "translated_description": "Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion", "image_url": "https://img.youtube.com/vi/2o-Sef6wllg/hqdefault.jpg", "youtube_id": "2o-Sef6wllg", "content_kind": "Video", "readable_id": "precession-causing-perihelion-to-happen-later"}, {"translated_youtube_id": "nL6LMX8-bPY", "relative_url": "/video/what-causes-precession-and-other-orbital-changes", "has_questions": false, "keywords": "precession, obliquity, elliptic, orbit, Milankovitch, Cycles", "ka_url": "http://www.khanacademy.org/video/what-causes-precession-and-other-orbital-changes", "duration": 126, "translated_title": "What causes precession and other orbital changes", "translated_description_html": "What causes precession and other orbital changes", "id": "152085901", "description_html": "What causes precession and other orbital changes", "title": "What causes precession and other orbital changes", "progress_key": "v152085901", "edit_slug": "edit/v/152085901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What causes precession and other orbital changes", "extra_properties": null, "node_slug": "v/what-causes-precession-and-other-orbital-changes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-14T23:28:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nL6LMX8-bPY.mp4/nL6LMX8-bPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nL6LMX8-bPY.mp4/nL6LMX8-bPY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nL6LMX8-bPY.m3u8/nL6LMX8-bPY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nL6LMX8-bPY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v152085901", "sha": "5c7c57a8d59c94db0bd00d9be6db11ae4696f9ce", "translated_description": "What causes precession and other orbital changes", "image_url": "https://img.youtube.com/vi/nL6LMX8-bPY/hqdefault.jpg", "youtube_id": "nL6LMX8-bPY", "content_kind": "Video", "readable_id": "what-causes-precession-and-other-orbital-changes"}, {"translated_youtube_id": "m6lMGoZTJnc", "relative_url": "/video/apsidal-precession--perihelion-precession--and-milankovitch-cycles", "has_questions": false, "keywords": "Apsidal, Precession, (Perihelion, Precession)", "ka_url": "http://www.khanacademy.org/video/apsidal-precession--perihelion-precession--and-milankovitch-cycles", "duration": 427, "translated_title": "Apsidal precession (perihelion precession) and Milankovitch cycles", "translated_description_html": "Apsidal Precession (Perihelion Precession)", "id": "152085902", "description_html": "Apsidal Precession (Perihelion Precession)", "title": "Apsidal precession (perihelion precession) and Milankovitch cycles", "progress_key": "v152085902", "edit_slug": "edit/v/152085902", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Apsidal Precession (Perihelion Precession)", "extra_properties": null, "node_slug": "v/apsidal-precession--perihelion-precession--and-milankovitch-cycles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-14T23:28:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m6lMGoZTJnc.mp4/m6lMGoZTJnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m6lMGoZTJnc.mp4/m6lMGoZTJnc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m6lMGoZTJnc.m3u8/m6lMGoZTJnc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m6lMGoZTJnc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v152085902", "sha": "a6da1443cf87f8c9ec13d17044d7774f7bcb8bf7", "translated_description": "Apsidal Precession (Perihelion Precession)", "image_url": "https://img.youtube.com/vi/m6lMGoZTJnc/hqdefault.jpg", "youtube_id": "m6lMGoZTJnc", "content_kind": "Video", "readable_id": "apsidal-precession--perihelion-precession--and-milankovitch-cycles"}], "twitter_url": "", "translated_description": "What causes the seasons? Even more, can Earth's climate change over long period just to \"wobbles\" in its orbit? This tutorial explains it all. You'll know more about orbits (and precession and Milankovitch cycles) than you ever thought possible. Have fun!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What causes the seasons? Even more, can Earth's climate change over long period just to \"wobbles\" in its orbit? This tutorial explains it all. You'll know more about orbits (and precession and Milankovitch cycles) than you ever thought possible. Have fun!", "x_pos": 0.0, "node_slug": "earth-title-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd0074f33", "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic", "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/earth-title-topic", "slug": "earth-title-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4e5f039c566ced854b69d7f9605a464ab41b9b56", "standalone_title": "Earth's rotation and tilt", "y_pos": 0.0, "current_revision_key": "4e5f039c566ced854b69d7f9605a464ab41b9b56", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "What is the Earth made up of and how do we know? What causes the seasons? Are there longer-ranging cycles in Earth's climate?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What is the Earth made up of and how do we know? What causes the seasons? Are there longer-ranging cycles in Earth's climate?", "x_pos": 0.0, "node_slug": "earth-history-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax860f890e", "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic", "extended_slug": "science/cosmology-and-astronomy/earth-history-topic", "slug": "earth-history-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a49e90536e0b74d36d0a3add326ec568d21f68a4", "standalone_title": "Earth geological and climatic history", "y_pos": 0.0, "current_revision_key": "a49e90536e0b74d36d0a3add326ec568d21f68a4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/life-earth-universe", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe", "translated_standalone_title": "Life on Earth and in the Universe", "translated_title": "Life on earth and in the universe", "gplus_url": "", "id": "xc2dac31d", "old_key_name": "Itde3hjZi9Pz5fEIi91jBn-_9rb7mAIjMasT6oyn", "hide": false, "title": "Life on earth and in the universe", "child_data": [{"kind": "Topic", "id": "xe8d3be24"}, {"kind": "Topic", "id": "x3dfb58f1"}, {"kind": "Topic", "id": "xe6c86721"}, {"kind": "Topic", "id": "xd02bb28b"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial", "translated_standalone_title": "History of life on Earth", "translated_title": "History of life on earth", "gplus_url": "", "id": "xe8d3be24", "old_key_name": "HGJiBIDmorHEmIPL_m0lRayXOyaKWO4S6P3s84Td", "hide": false, "title": "History of life on earth", "child_data": [{"kind": "Video", "id": 13179297}, {"kind": "Video", "id": 13179298}, {"kind": "Video", "id": 13179299}, {"kind": "Video", "id": 13179300}, {"kind": "Video", "id": 13179435}], "children": [{"translated_youtube_id": "VbNXh0GaLYo", "relative_url": "/video/earth-formation", "has_questions": false, "keywords": "hadean, eon, earth, solar, system, formation, marquee", "ka_url": "http://www.khanacademy.org/video/earth-formation", "duration": 608, "translated_title": "Earth formation", "translated_description_html": "How the Earth is a the byproduct of a local supernova", "id": "13179297", "description_html": "How the Earth is a the byproduct of a local supernova", "title": "Earth formation", "progress_key": "v13179297", "edit_slug": "edit/v/13179297", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How the Earth is a the byproduct of a local supernova", "extra_properties": null, "node_slug": "v/earth-formation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VbNXh0GaLYo.mp4/VbNXh0GaLYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VbNXh0GaLYo.mp4/VbNXh0GaLYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VbNXh0GaLYo.m3u8/VbNXh0GaLYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VbNXh0GaLYo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179297", "sha": "7fedc89cc6bf0a656e245ce2d847286e83315d66", "translated_description": "How the Earth is a the byproduct of a local supernova", "image_url": "https://img.youtube.com/vi/VbNXh0GaLYo/hqdefault.jpg", "youtube_id": "VbNXh0GaLYo", "content_kind": "Video", "readable_id": "earth-formation"}, {"translated_youtube_id": "nYFuxTXDj90", "relative_url": "/video/beginnings-of-life", "has_questions": false, "keywords": "life, photosynthesis, prokaryote, eukaryote, arhchean, hades, hadean, eon", "ka_url": "http://www.khanacademy.org/video/beginnings-of-life", "duration": 626, "translated_title": "Beginnings of life", "translated_description_html": "Life and photosynthesis start to thrive in the Archean Eon", "id": "13179298", "description_html": "Life and photosynthesis start to thrive in the Archean Eon", "title": "Beginnings of life", "progress_key": "v13179298", "edit_slug": "edit/v/13179298", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Life and photosynthesis start to thrive in the Archean Eon", "extra_properties": null, "node_slug": "v/beginnings-of-life", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nYFuxTXDj90.mp4/nYFuxTXDj90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nYFuxTXDj90.mp4/nYFuxTXDj90.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nYFuxTXDj90.m3u8/nYFuxTXDj90.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nYFuxTXDj90&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179298", "sha": "1a2e7a6b02c20c4c015ad981b56859f50f62c1e3", "translated_description": "Life and photosynthesis start to thrive in the Archean Eon", "image_url": "https://img.youtube.com/vi/nYFuxTXDj90/hqdefault.jpg", "youtube_id": "nYFuxTXDj90", "content_kind": "Video", "readable_id": "beginnings-of-life"}, {"translated_youtube_id": "E1P79uFLCMc", "relative_url": "/video/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon", "has_questions": false, "keywords": "Ozone, Layer, and, Eukaryotes, Show, Up, in, the, Proterozoic, Eon", "ka_url": "http://www.khanacademy.org/video/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon", "duration": 596, "translated_title": "Ozone layer and eukaryotes show up in the Proterozoic eon", "translated_description_html": "Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Great Oxygenation Event (Oxygen Catastrophe)", "id": "13179299", "description_html": "Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Great Oxygenation Event (Oxygen Catastrophe)", "title": "Ozone layer and eukaryotes show up in the Proterozoic eon", "progress_key": "v13179299", "edit_slug": "edit/v/13179299", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Great Oxygenation Event (Oxygen Catastrophe)", "extra_properties": null, "node_slug": "v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E1P79uFLCMc.mp4/E1P79uFLCMc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E1P79uFLCMc.mp4/E1P79uFLCMc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E1P79uFLCMc.m3u8/E1P79uFLCMc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E1P79uFLCMc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179299", "sha": "c17726be7785dda0e4fa3be9a92601dc0ff5f399", "translated_description": "Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Great Oxygenation Event (Oxygen Catastrophe)", "image_url": "https://img.youtube.com/vi/E1P79uFLCMc/hqdefault.jpg", "youtube_id": "E1P79uFLCMc", "content_kind": "Video", "readable_id": "ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon"}, {"translated_youtube_id": "MS7x2hDEhrw", "relative_url": "/video/biodiversity-flourishes-in-phanerozoic-eon", "has_questions": false, "keywords": "big, history, cambrian, explosion, biodiversity, phanerozoic, eon, era, paleozoic", "ka_url": "http://www.khanacademy.org/video/biodiversity-flourishes-in-phanerozoic-eon", "duration": 628, "translated_title": "Biodiversity flourishes in Phanerozoic eon", "translated_description_html": "Cambrian explosion and biodiversity in the Phanerozoic Eon", "id": "13179300", "description_html": "Cambrian explosion and biodiversity in the Phanerozoic Eon", "title": "Biodiversity flourishes in Phanerozoic eon", "progress_key": "v13179300", "edit_slug": "edit/v/13179300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Cambrian explosion and biodiversity in the Phanerozoic Eon", "extra_properties": null, "node_slug": "v/biodiversity-flourishes-in-phanerozoic-eon", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MS7x2hDEhrw.mp4/MS7x2hDEhrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MS7x2hDEhrw.mp4/MS7x2hDEhrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MS7x2hDEhrw.m3u8/MS7x2hDEhrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MS7x2hDEhrw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179300", "sha": "568b412d2f537e44b4abd9e4ec6fd21ad20a0f60", "translated_description": "Cambrian explosion and biodiversity in the Phanerozoic Eon", "image_url": "https://img.youtube.com/vi/MS7x2hDEhrw/hqdefault.jpg", "youtube_id": "MS7x2hDEhrw", "content_kind": "Video", "readable_id": "biodiversity-flourishes-in-phanerozoic-eon"}, {"translated_youtube_id": "3gUE_P9T-Wk", "relative_url": "/video/first-living-things-on-land-clarification", "has_questions": false, "keywords": "evolution, earth, life, algae", "ka_url": "http://www.khanacademy.org/video/first-living-things-on-land-clarification", "duration": 335, "translated_title": "First living things on land clarification", "translated_description_html": "First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)", "id": "13179435", "description_html": "First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)", "title": "First living things on land clarification", "progress_key": "v13179435", "edit_slug": "edit/v/13179435", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)", "extra_properties": {"original_url": ""}, "node_slug": "v/first-living-things-on-land-clarification", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:37:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3gUE_P9T-Wk.mp4/3gUE_P9T-Wk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3gUE_P9T-Wk.mp4/3gUE_P9T-Wk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3gUE_P9T-Wk.m3u8/3gUE_P9T-Wk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3gUE_P9T-Wk&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v13179435", "sha": "f871b0daeef31ba40b36cbae39a921ac63afecef", "translated_description": "First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)", "image_url": "https://img.youtube.com/vi/3gUE_P9T-Wk/hqdefault.jpg", "youtube_id": "3gUE_P9T-Wk", "content_kind": "Video", "readable_id": "first-living-things-on-land-clarification"}], "twitter_url": "", "translated_description": "Earth is over 4.5 billion years old. How do we know this? When did life first emerge? \n\nFrom the dawn of Earth as a planet to the first primitive life forms to our \"modern\" species, this tutorial is an epic journey of the history of life on Earth.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Earth is over 4.5 billion years old. How do we know this? When did life first emerge? \n\nFrom the dawn of Earth as a planet to the first primitive life forms to our \"modern\" species, this tutorial is an epic journey of the history of life on Earth.", "x_pos": 0.0, "node_slug": "history-life-earth-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe8d3be24", "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial", "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial", "slug": "history-life-earth-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f0ef03f03e0cd535191b9546b338ab7b0c283727", "standalone_title": "History of life on Earth", "y_pos": 0.0, "current_revision_key": "f0ef03f03e0cd535191b9546b338ab7b0c283727", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial", "translated_standalone_title": "Humanity on Earth", "translated_title": "Humanity on earth", "gplus_url": "", "id": "x3dfb58f1", "old_key_name": "IwUyFPdVrCH5ZXnBOtVYoiC8_C-3SGHFsDKpRb43", "hide": false, "title": "Humanity on earth", "child_data": [{"kind": "Video", "id": 99682014}, {"kind": "Video", "id": 101104459}, {"kind": "Video", "id": 105033394}, {"kind": "Video", "id": 112894148}, {"kind": "Video", "id": 214248036}, {"kind": "Video", "id": 400119682}, {"kind": "Video", "id": 467947556}, {"kind": "Video", "id": 464587015}, {"kind": "Video", "id": 465986949}, {"kind": "Video", "id": 466052144}], "children": [{"translated_youtube_id": "frE1rjhH77Y", "relative_url": "/video/human-evolution-overview", "has_questions": false, "keywords": "evolution, anthropology, archeology, fossils, neanderthal, ape", "ka_url": "http://www.khanacademy.org/video/human-evolution-overview", "duration": 746, "translated_title": "Human evolution overview", "translated_description_html": "From the extinction of the dinosaurs to humanity", "id": "99682014", "description_html": "From the extinction of the dinosaurs to humanity", "title": "Human evolution overview", "progress_key": "v99682014", "edit_slug": "edit/v/99682014", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "From the extinction of the dinosaurs to humanity", "extra_properties": null, "node_slug": "v/human-evolution-overview", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-28T23:27:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/frE1rjhH77Y.mp4/frE1rjhH77Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/frE1rjhH77Y.mp4/frE1rjhH77Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/frE1rjhH77Y.m3u8/frE1rjhH77Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=frE1rjhH77Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v99682014", "sha": "68b53fcd067a395643500c198ef09f28e59f1efa", "translated_description": "From the extinction of the dinosaurs to humanity", "image_url": "https://img.youtube.com/vi/frE1rjhH77Y/hqdefault.jpg", "youtube_id": "frE1rjhH77Y", "content_kind": "Video", "readable_id": "human-evolution-overview"}, {"translated_youtube_id": "EKKe7DBZVhI", "relative_url": "/video/understanding-calendar-notation", "has_questions": false, "keywords": "calendar, christ", "ka_url": "http://www.khanacademy.org/video/understanding-calendar-notation", "duration": 581, "translated_title": "Understanding calendar notation", "translated_description_html": "Difference between BC, BCE, AD and CE. A little bit about the birth of Jesus as well.", "id": "101104459", "description_html": "Difference between BC, BCE, AD and CE. A little bit about the birth of Jesus as well.", "title": "Understanding calendar notation", "progress_key": "v101104459", "edit_slug": "edit/v/101104459", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Difference between BC, BCE, AD and CE. A little bit about the birth of Jesus as well.", "extra_properties": null, "node_slug": "v/understanding-calendar-notation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-30T23:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EKKe7DBZVhI.mp4/EKKe7DBZVhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EKKe7DBZVhI.mp4/EKKe7DBZVhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EKKe7DBZVhI.m3u8/EKKe7DBZVhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EKKe7DBZVhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v101104459", "sha": "6367e4684421d974f4aa85cbf3f628138a379e67", "translated_description": "Difference between BC, BCE, AD and CE. A little bit about the birth of Jesus as well.", "image_url": "https://img.youtube.com/vi/EKKe7DBZVhI/hqdefault.jpg", "youtube_id": "EKKe7DBZVhI", "content_kind": "Video", "readable_id": "understanding-calendar-notation"}, {"translated_youtube_id": "N06Jy-gQog8", "relative_url": "/video/correction-calendar-notation", "has_questions": false, "keywords": "calendar, dates", "ka_url": "http://www.khanacademy.org/video/correction-calendar-notation", "duration": 252, "translated_title": "Correction calendar notation", "translated_description_html": "Correcting the time difference calculation by taking into account that there is no year 0", "id": "105033394", "description_html": "Correcting the time difference calculation by taking into account that there is no year 0", "title": "Correction calendar notation", "progress_key": "v105033394", "edit_slug": "edit/v/105033394", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Correcting the time difference calculation by taking into account that there is no year 0", "extra_properties": null, "node_slug": "v/correction-calendar-notation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-03T23:29:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N06Jy-gQog8.mp4/N06Jy-gQog8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N06Jy-gQog8.mp4/N06Jy-gQog8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N06Jy-gQog8.m3u8/N06Jy-gQog8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N06Jy-gQog8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v105033394", "sha": "f4592a589efe2a94342c72d7587ee5003777b85a", "translated_description": "Correcting the time difference calculation by taking into account that there is no year 0", "image_url": "https://img.youtube.com/vi/N06Jy-gQog8/hqdefault.jpg", "youtube_id": "N06Jy-gQog8", "content_kind": "Video", "readable_id": "correction-calendar-notation"}, {"translated_youtube_id": "iU58AIjh3YA", "relative_url": "/video/development-of-agriculture-and-writing", "has_questions": false, "keywords": "Cuneiform, sumer, sumeria", "ka_url": "http://www.khanacademy.org/video/development-of-agriculture-and-writing", "duration": 783, "translated_title": "Development of agriculture and writing", "translated_description_html": "The Paleolithic and Neolithic eras of the Stone Age.", "id": "112894148", "description_html": "The Paleolithic and Neolithic eras of the Stone Age.", "title": "Development of agriculture and writing", "progress_key": "v112894148", "edit_slug": "edit/v/112894148", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Paleolithic and Neolithic eras of the Stone Age.", "extra_properties": null, "node_slug": "v/development-of-agriculture-and-writing", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-10T23:28:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iU58AIjh3YA.mp4/iU58AIjh3YA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iU58AIjh3YA.mp4/iU58AIjh3YA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iU58AIjh3YA.m3u8/iU58AIjh3YA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iU58AIjh3YA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v112894148", "sha": "d21bd491624bbfa89aa0baff8f1a8f5daa7667e8", "translated_description": "The Paleolithic and Neolithic eras of the Stone Age.", "image_url": "https://img.youtube.com/vi/iU58AIjh3YA/hqdefault.jpg", "youtube_id": "iU58AIjh3YA", "content_kind": "Video", "readable_id": "development-of-agriculture-and-writing"}, {"translated_youtube_id": "mwUyaeWxJhA", "relative_url": "/video/firestick-farming", "has_questions": false, "keywords": "farming, agriculture, firestick, aborigines", "ka_url": "http://www.khanacademy.org/video/firestick-farming", "duration": 397, "translated_title": "Firestick farming", "translated_description_html": "How the indigenous Australians used fire to change their environment", "id": "214248036", "description_html": "How the indigenous Australians used fire to change their environment", "title": "Firestick farming", "progress_key": "v214248036", "edit_slug": "edit/v/214248036", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How the indigenous Australians used fire to change their environment", "extra_properties": null, "node_slug": "v/firestick-farming", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-26T10:02:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mwUyaeWxJhA.mp4/mwUyaeWxJhA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mwUyaeWxJhA.mp4/mwUyaeWxJhA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mwUyaeWxJhA.m3u8/mwUyaeWxJhA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mwUyaeWxJhA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v214248036", "sha": "185a13b610b0caf341cdf0220cd8471529d05ea1", "translated_description": "How the indigenous Australians used fire to change their environment", "image_url": "https://img.youtube.com/vi/mwUyaeWxJhA/hqdefault.jpg", "youtube_id": "mwUyaeWxJhA", "content_kind": "Video", "readable_id": "firestick-farming"}, {"translated_youtube_id": "NqR_dtZu4Mo", "relative_url": "/video/collective-learning", "has_questions": false, "keywords": "big, history, language", "ka_url": "http://www.khanacademy.org/video/collective-learning", "duration": 797, "translated_title": "Collective learning", "translated_description_html": "How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom", "id": "400119682", "description_html": "How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom", "title": "Collective learning", "progress_key": "v400119682", "edit_slug": "edit/v/400119682", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom", "extra_properties": null, "node_slug": "v/collective-learning", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-11-24T11:00:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NqR_dtZu4Mo.mp4/NqR_dtZu4Mo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NqR_dtZu4Mo.mp4/NqR_dtZu4Mo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NqR_dtZu4Mo.m3u8/NqR_dtZu4Mo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NqR_dtZu4Mo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v400119682", "sha": "69cb01306609083bb25d3a95f443644d2d8dda9f", "translated_description": "How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom", "image_url": "https://img.youtube.com/vi/NqR_dtZu4Mo/hqdefault.jpg", "youtube_id": "NqR_dtZu4Mo", "content_kind": "Video", "readable_id": "collective-learning"}, {"translated_youtube_id": "r1ywppAJ1xs", "relative_url": "/video/thomas-malthus-and-population-growth", "has_questions": false, "keywords": "population, history", "ka_url": "http://www.khanacademy.org/video/thomas-malthus-and-population-growth", "duration": 493, "translated_title": "Thomas malthus and population growth", "translated_description_html": "Thomas Malthus's views on population. Malthusian limits.", "id": "467947556", "description_html": "Thomas Malthus's views on population. Malthusian limits.", "title": "Thomas malthus and population growth", "progress_key": "v467947556", "edit_slug": "edit/v/467947556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thomas Malthus's views on population. Malthusian limits.", "extra_properties": null, "node_slug": "v/thomas-malthus-and-population-growth", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-29T11:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r1ywppAJ1xs.mp4/r1ywppAJ1xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r1ywppAJ1xs.mp4/r1ywppAJ1xs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r1ywppAJ1xs.m3u8/r1ywppAJ1xs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r1ywppAJ1xs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v467947556", "sha": "abd85b243e84b9ae6c885a6587064845839306c5", "translated_description": "Thomas Malthus's views on population. Malthusian limits.", "image_url": "https://img.youtube.com/vi/r1ywppAJ1xs/hqdefault.jpg", "youtube_id": "r1ywppAJ1xs", "content_kind": "Video", "readable_id": "thomas-malthus-and-population-growth"}, {"translated_youtube_id": "xM8szz4VB28", "relative_url": "/video/land-productivity-limiting-human-population", "has_questions": false, "keywords": "food, chains, agricultural, productivity", "ka_url": "http://www.khanacademy.org/video/land-productivity-limiting-human-population", "duration": 780, "translated_title": "Land productivity limiting human population", "translated_description_html": "Thinking about how we get Calories from the land limits human population densities", "id": "464587015", "description_html": "Thinking about how we get Calories from the land limits human population densities", "title": "Land productivity limiting human population", "progress_key": "v464587015", "edit_slug": "edit/v/464587015", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how we get Calories from the land limits human population densities", "extra_properties": null, "node_slug": "v/land-productivity-limiting-human-population", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-27T11:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xM8szz4VB28.mp4/xM8szz4VB28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xM8szz4VB28.mp4/xM8szz4VB28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xM8szz4VB28.m3u8/xM8szz4VB28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xM8szz4VB28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v464587015", "sha": "f94d1acda8bc9bdbc86b90de689ff2c4afd0aead", "translated_description": "Thinking about how we get Calories from the land limits human population densities", "image_url": "https://img.youtube.com/vi/xM8szz4VB28/hqdefault.jpg", "youtube_id": "xM8szz4VB28", "content_kind": "Video", "readable_id": "land-productivity-limiting-human-population"}, {"translated_youtube_id": "5I9dH5im24U", "relative_url": "/video/energy-inputs-for-tilling-a-hectare-of-land", "has_questions": false, "keywords": "plough, till, agriculture, ha, hectare", "ka_url": "http://www.khanacademy.org/video/energy-inputs-for-tilling-a-hectare-of-land", "duration": 821, "translated_title": "Energy inputs for tilling a hectare of land", "translated_description_html": "Thinking about energy consumption for tilling land", "id": "465986949", "description_html": "Thinking about energy consumption for tilling land", "title": "Energy inputs for tilling a hectare of land", "progress_key": "v465986949", "edit_slug": "edit/v/465986949", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about energy consumption for tilling land", "extra_properties": null, "node_slug": "v/energy-inputs-for-tilling-a-hectare-of-land", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5I9dH5im24U.mp4/5I9dH5im24U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5I9dH5im24U.mp4/5I9dH5im24U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5I9dH5im24U.m3u8/5I9dH5im24U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5I9dH5im24U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v465986949", "sha": "4e766c3416ebbe5562998eebeb2ec2c5f6fdee9e", "translated_description": "Thinking about energy consumption for tilling land", "image_url": "https://img.youtube.com/vi/5I9dH5im24U/hqdefault.jpg", "youtube_id": "5I9dH5im24U", "content_kind": "Video", "readable_id": "energy-inputs-for-tilling-a-hectare-of-land"}, {"translated_youtube_id": "E4rbS0oxg30", "relative_url": "/video/random-predictions-for-2060", "has_questions": false, "keywords": "Random, Predictions, for, 2060", "ka_url": "http://www.khanacademy.org/video/random-predictions-for-2060", "duration": 667, "translated_title": "Random predictions for 2060", "translated_description_html": "Sal's random predictions for the year 2060", "id": "466052144", "description_html": "Sal's random predictions for the year 2060", "title": "Random predictions for 2060", "progress_key": "v466052144", "edit_slug": "edit/v/466052144", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal's random predictions for the year 2060", "extra_properties": null, "node_slug": "v/random-predictions-for-2060", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-28T11:00:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E4rbS0oxg30.mp4/E4rbS0oxg30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E4rbS0oxg30.mp4/E4rbS0oxg30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E4rbS0oxg30.m3u8/E4rbS0oxg30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E4rbS0oxg30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v466052144", "sha": "5b9a97d95e0df519799560fa14ede3f34524e828", "translated_description": "Sal's random predictions for the year 2060", "image_url": "https://img.youtube.com/vi/E4rbS0oxg30/hqdefault.jpg", "youtube_id": "E4rbS0oxg30", "content_kind": "Video", "readable_id": "random-predictions-for-2060"}], "twitter_url": "", "translated_description": "Where do we think humans come from? How and why have we developed as a species. This tutorial attempts to give an overview of these truly fundamental questions.\n\nFrom human evolution (which is covered in more depth in the biology playlist) to the development of agriculture, this tutorial will give you an appreciation of where we've been (and maybe where we're going).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Where do we think humans come from? How and why have we developed as a species. This tutorial attempts to give an overview of these truly fundamental questions.\n\nFrom human evolution (which is covered in more depth in the biology playlist) to the development of agriculture, this tutorial will give you an appreciation of where we've been (and maybe where we're going).", "x_pos": 0.0, "node_slug": "humanity-on-earth-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3dfb58f1", "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial", "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial", "slug": "humanity-on-earth-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9e37d4bf8a723ff7c103524cff52e186d6c765d8", "standalone_title": "Humanity on Earth", "y_pos": 0.0, "current_revision_key": "9e37d4bf8a723ff7c103524cff52e186d6c765d8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial", "translated_standalone_title": "Measuring age on Earth", "translated_title": "Measuring age on earth", "gplus_url": "", "id": "xe6c86721", "old_key_name": "ibJ0jLHqPjZLUV2CZmK2lYrIDJmn3bpvV9Vp_P24", "hide": false, "title": "Measuring age on earth", "child_data": [{"kind": "Video", "id": 334540860}, {"kind": "Video", "id": 8187416}, {"kind": "Video", "id": 8187417}, {"kind": "Video", "id": 328018950}, {"kind": "Video", "id": 328024200}], "children": [{"translated_youtube_id": "5mNTvtjDnP8", "relative_url": "/video/chronometric-revolution", "has_questions": false, "keywords": "Chronometric, Revolution", "ka_url": "http://www.khanacademy.org/video/chronometric-revolution", "duration": 593, "translated_title": "Chronometric revolution", "translated_description_html": "Discussion of the relatively recent changes in our ability as a species to shine light on our deep past", "id": "334540860", "description_html": "Discussion of the relatively recent changes in our ability as a species to shine light on our deep past", "title": "Chronometric revolution", "progress_key": "v334540860", "edit_slug": "edit/v/334540860", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Discussion of the relatively recent changes in our ability as a species to shine light on our deep past", "extra_properties": null, "node_slug": "v/chronometric-revolution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-25T10:02:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5mNTvtjDnP8.mp4/5mNTvtjDnP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5mNTvtjDnP8.mp4/5mNTvtjDnP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5mNTvtjDnP8.m3u8/5mNTvtjDnP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5mNTvtjDnP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v334540860", "sha": "5d20d15d3baf61d92d61f8b0cf41b7997bdf2670", "translated_description": "Discussion of the relatively recent changes in our ability as a species to shine light on our deep past", "image_url": "https://img.youtube.com/vi/5mNTvtjDnP8/hqdefault.jpg", "youtube_id": "5mNTvtjDnP8", "content_kind": "Video", "readable_id": "chronometric-revolution"}, {"translated_youtube_id": "8wYvKeSK1IY", "relative_url": "/video/carbon-14-dating-1", "has_questions": false, "keywords": "Carbon, 14, Dating", "ka_url": "http://www.khanacademy.org/video/carbon-14-dating-1", "duration": 603, "translated_title": "Carbon 14 dating 1", "translated_description_html": "Carbon 14 Dating 1", "id": "8187416", "description_html": "Carbon 14 Dating 1", "title": "Carbon 14 dating 1", "progress_key": "v8187416", "edit_slug": "edit/v/8187416", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carbon 14 Dating 1", "extra_properties": null, "node_slug": "v/carbon-14-dating-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:36:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8wYvKeSK1IY.mp4/8wYvKeSK1IY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8wYvKeSK1IY.mp4/8wYvKeSK1IY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8wYvKeSK1IY.m3u8/8wYvKeSK1IY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8wYvKeSK1IY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187416", "sha": "d59d42d48b547feb7b3ee375db52db04fc391a3c", "translated_description": "Carbon 14 Dating 1", "image_url": "https://img.youtube.com/vi/8wYvKeSK1IY/hqdefault.jpg", "youtube_id": "8wYvKeSK1IY", "content_kind": "Video", "readable_id": "carbon-14-dating-1"}, {"translated_youtube_id": "4YUtnod-YuE", "relative_url": "/video/carbon-14-dating-2", "has_questions": false, "keywords": "Carbon, 14, Dating", "ka_url": "http://www.khanacademy.org/video/carbon-14-dating-2", "duration": 255, "translated_title": "Carbon 14 dating 2", "translated_description_html": "Carbon 14 Dating 2", "id": "8187417", "description_html": "Carbon 14 Dating 2", "title": "Carbon 14 dating 2", "progress_key": "v8187417", "edit_slug": "edit/v/8187417", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carbon 14 Dating 2", "extra_properties": null, "node_slug": "v/carbon-14-dating-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:36:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4YUtnod-YuE.mp4/4YUtnod-YuE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4YUtnod-YuE.mp4/4YUtnod-YuE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4YUtnod-YuE.m3u8/4YUtnod-YuE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4YUtnod-YuE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187417", "sha": "d7ad73b196e77e00587cfb29490f257efe29b49c", "translated_description": "Carbon 14 Dating 2", "image_url": "https://img.youtube.com/vi/4YUtnod-YuE/hqdefault.jpg", "youtube_id": "4YUtnod-YuE", "content_kind": "Video", "readable_id": "carbon-14-dating-2"}, {"translated_youtube_id": "NMZ5kJEviD0", "relative_url": "/video/potassium-argon--k-ar--dating", "has_questions": false, "keywords": "chronometric, revolution", "ka_url": "http://www.khanacademy.org/video/potassium-argon--k-ar--dating", "duration": 635, "translated_title": "Potassium-argon (K-Ar) dating", "translated_description_html": "How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between", "id": "328018950", "description_html": "How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between", "title": "Potassium-argon (K-Ar) dating", "progress_key": "v328018950", "edit_slug": "edit/v/328018950", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between", "extra_properties": null, "node_slug": "v/potassium-argon--k-ar--dating", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-22T10:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NMZ5kJEviD0.mp4/NMZ5kJEviD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NMZ5kJEviD0.mp4/NMZ5kJEviD0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NMZ5kJEviD0.m3u8/NMZ5kJEviD0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NMZ5kJEviD0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v328018950", "sha": "ae3f69c1305488be2f2bf99db1fc3d0f461d93f4", "translated_description": "How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between", "image_url": "https://img.youtube.com/vi/NMZ5kJEviD0/hqdefault.jpg", "youtube_id": "NMZ5kJEviD0", "content_kind": "Video", "readable_id": "potassium-argon--k-ar--dating"}, {"translated_youtube_id": "iLFcSfzrlMk", "relative_url": "/video/k-ar-dating-calculation", "has_questions": false, "keywords": "K, Ar, Dating, Calculation", "ka_url": "http://www.khanacademy.org/video/k-ar-dating-calculation", "duration": 667, "translated_title": "K-Ar dating calculation", "translated_description_html": "Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)", "id": "328024200", "description_html": "Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)", "title": "K-Ar dating calculation", "progress_key": "v328024200", "edit_slug": "edit/v/328024200", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)", "extra_properties": null, "node_slug": "v/k-ar-dating-calculation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-22T10:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iLFcSfzrlMk.mp4/iLFcSfzrlMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iLFcSfzrlMk.mp4/iLFcSfzrlMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iLFcSfzrlMk.m3u8/iLFcSfzrlMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iLFcSfzrlMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v328024200", "sha": "7fd67d1814cecb0c312eae96ace9f0933d01ddc6", "translated_description": "Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)", "image_url": "https://img.youtube.com/vi/iLFcSfzrlMk/hqdefault.jpg", "youtube_id": "iLFcSfzrlMk", "content_kind": "Video", "readable_id": "k-ar-dating-calculation"}], "twitter_url": "", "translated_description": "Geologists and archaeologists will tell you how old things are or when they happened, but how do they know? This tutorial answers this question by covering some of the primary techniques of \"dating\" (not in the romantic sense).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Geologists and archaeologists will tell you how old things are or when they happened, but how do they know? This tutorial answers this question by covering some of the primary techniques of \"dating\" (not in the romantic sense).", "x_pos": 0.0, "node_slug": "measuring-age-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe6c86721", "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial", "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial", "slug": "measuring-age-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "57f2774c893b6fa4151cd5ea8638af0a334f82c4", "standalone_title": "Measuring age on Earth", "y_pos": 0.0, "current_revision_key": "57f2774c893b6fa4151cd5ea8638af0a334f82c4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic", "translated_standalone_title": "Life in the Universe", "translated_title": "Life in the universe", "gplus_url": "", "id": "xd02bb28b", "old_key_name": "6wWYV-MIGHA20YZdh_-69bjtIaW6cAgkrW9uk48T", "hide": false, "title": "Life in the universe", "child_data": [{"kind": "Video", "id": 91824745}, {"kind": "Video", "id": 92633418}, {"kind": "Video", "id": 92633419}, {"kind": "Video", "id": 92633420}, {"kind": "Video", "id": 94896541}], "children": [{"translated_youtube_id": "YYEgq1bweN4", "relative_url": "/video/detectable-civilizations-in-our-galaxy-1", "has_questions": false, "keywords": "drake, equation, cosmology, seti", "ka_url": "http://www.khanacademy.org/video/detectable-civilizations-in-our-galaxy-1", "duration": 783, "translated_title": "Detectable civilizations in our galaxy 1", "translated_description_html": "A framework for thinking about how many detectable civilizations are out there.", "id": "91824745", "description_html": "A framework for thinking about how many detectable civilizations are out there.", "title": "Detectable civilizations in our galaxy 1", "progress_key": "v91824745", "edit_slug": "edit/v/91824745", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A framework for thinking about how many detectable civilizations are out there.", "extra_properties": null, "node_slug": "v/detectable-civilizations-in-our-galaxy-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-20T23:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YYEgq1bweN4.mp4/YYEgq1bweN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YYEgq1bweN4.mp4/YYEgq1bweN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YYEgq1bweN4.m3u8/YYEgq1bweN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YYEgq1bweN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v91824745", "sha": "5f908a2d331eab26f6c502198be1b727ca756c38", "translated_description": "A framework for thinking about how many detectable civilizations are out there.", "image_url": "https://img.youtube.com/vi/YYEgq1bweN4/hqdefault.jpg", "youtube_id": "YYEgq1bweN4", "content_kind": "Video", "readable_id": "detectable-civilizations-in-our-galaxy-1"}, {"translated_youtube_id": "jN03g05TSWM", "relative_url": "/video/detectable-civilizations-in-our-galaxy-2", "has_questions": false, "keywords": "SETI, drake, civilization", "ka_url": "http://www.khanacademy.org/video/detectable-civilizations-in-our-galaxy-2", "duration": 533, "translated_title": "Detectable civilizations in our galaxy 2", "translated_description_html": "Why do we even care about the Drake Equation. Thinking about the fraction of a planet's life when a civilization might be detectable.", "id": "92633418", "description_html": "Why do we even care about the Drake Equation. Thinking about the fraction of a planet's life when a civilization might be detectable.", "title": "Detectable civilizations in our galaxy 2", "progress_key": "v92633418", "edit_slug": "edit/v/92633418", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why do we even care about the Drake Equation. Thinking about the fraction of a planet's life when a civilization might be detectable.", "extra_properties": null, "node_slug": "v/detectable-civilizations-in-our-galaxy-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-21T23:27:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jN03g05TSWM.mp4/jN03g05TSWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jN03g05TSWM.mp4/jN03g05TSWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jN03g05TSWM.m3u8/jN03g05TSWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jN03g05TSWM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v92633418", "sha": "ec09c5821daf90f93c5d65fa380a0a75a542203f", "translated_description": "Why do we even care about the Drake Equation. Thinking about the fraction of a planet's life when a civilization might be detectable.", "image_url": "https://img.youtube.com/vi/jN03g05TSWM/hqdefault.jpg", "youtube_id": "jN03g05TSWM", "content_kind": "Video", "readable_id": "detectable-civilizations-in-our-galaxy-2"}, {"translated_youtube_id": "LRmwUsxNSL0", "relative_url": "/video/detectable-civilizations-in-our-galaxy-3", "has_questions": false, "keywords": "star, formation, cosmology", "ka_url": "http://www.khanacademy.org/video/detectable-civilizations-in-our-galaxy-3", "duration": 438, "translated_title": "Detectable civilizations in our galaxy 3", "translated_description_html": "Reconciling with the traditional Drake Equation", "id": "92633419", "description_html": "Reconciling with the traditional Drake Equation", "title": "Detectable civilizations in our galaxy 3", "progress_key": "v92633419", "edit_slug": "edit/v/92633419", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reconciling with the traditional Drake Equation", "extra_properties": null, "node_slug": "v/detectable-civilizations-in-our-galaxy-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-21T23:27:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LRmwUsxNSL0.mp4/LRmwUsxNSL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LRmwUsxNSL0.mp4/LRmwUsxNSL0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LRmwUsxNSL0.m3u8/LRmwUsxNSL0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LRmwUsxNSL0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v92633419", "sha": "df248e918b0d1eb2355f6211295b6bbc49d4d867", "translated_description": "Reconciling with the traditional Drake Equation", "image_url": "https://img.youtube.com/vi/LRmwUsxNSL0/hqdefault.jpg", "youtube_id": "LRmwUsxNSL0", "content_kind": "Video", "readable_id": "detectable-civilizations-in-our-galaxy-3"}, {"translated_youtube_id": "T5DGZIsfK-0", "relative_url": "/video/detectable-civilizations-in-our-galaxy-4", "has_questions": false, "keywords": "drake, alien, astronomy", "ka_url": "http://www.khanacademy.org/video/detectable-civilizations-in-our-galaxy-4", "duration": 375, "translated_title": "Detectable civilizations in our galaxy 4", "translated_description_html": "Taking a shot at estimating the number of detectable civilizations", "id": "92633420", "description_html": "Taking a shot at estimating the number of detectable civilizations", "title": "Detectable civilizations in our galaxy 4", "progress_key": "v92633420", "edit_slug": "edit/v/92633420", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking a shot at estimating the number of detectable civilizations", "extra_properties": null, "node_slug": "v/detectable-civilizations-in-our-galaxy-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-21T23:27:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T5DGZIsfK-0.mp4/T5DGZIsfK-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T5DGZIsfK-0.mp4/T5DGZIsfK-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T5DGZIsfK-0.m3u8/T5DGZIsfK-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T5DGZIsfK-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v92633420", "sha": "8ab44170a73cf7eac8eb2efa77a2a784d10c7c61", "translated_description": "Taking a shot at estimating the number of detectable civilizations", "image_url": "https://img.youtube.com/vi/T5DGZIsfK-0/hqdefault.jpg", "youtube_id": "T5DGZIsfK-0", "content_kind": "Video", "readable_id": "detectable-civilizations-in-our-galaxy-4"}, {"translated_youtube_id": "xL9ejqb53ms", "relative_url": "/video/detectable-civilizations-in-our-galaxy-5", "has_questions": false, "keywords": "extraterrestrial, drake, civilizations", "ka_url": "http://www.khanacademy.org/video/detectable-civilizations-in-our-galaxy-5", "duration": 309, "translated_title": "Detectable civilizations in our galaxy 5", "translated_description_html": "More reasons why we haven't detected anything yet.", "id": "94896541", "description_html": "More reasons why we haven't detected anything yet.", "title": "Detectable civilizations in our galaxy 5", "progress_key": "v94896541", "edit_slug": "edit/v/94896541", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More reasons why we haven't detected anything yet.", "extra_properties": null, "node_slug": "v/detectable-civilizations-in-our-galaxy-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-23T23:28:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xL9ejqb53ms.mp4/xL9ejqb53ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xL9ejqb53ms.mp4/xL9ejqb53ms.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xL9ejqb53ms.m3u8/xL9ejqb53ms.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xL9ejqb53ms&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v94896541", "sha": "f2bcfbdaa770bd11c0724215d01cbb2e7094e557", "translated_description": "More reasons why we haven't detected anything yet.", "image_url": "https://img.youtube.com/vi/xL9ejqb53ms/hqdefault.jpg", "youtube_id": "xL9ejqb53ms", "content_kind": "Video", "readable_id": "detectable-civilizations-in-our-galaxy-5"}], "twitter_url": "", "translated_description": "Are dolphins the only intelligent life in the universe? We don't know for sure, but this tutorial gives a framework for thinking about the problem.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Are dolphins the only intelligent life in the universe? We don't know for sure, but this tutorial gives a framework for thinking about the problem.", "x_pos": 0.0, "node_slug": "life-in-universe-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd02bb28b", "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic", "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic", "slug": "life-in-universe-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "372eee95a3739a63ba19866ac22ebc1bc605f55e", "standalone_title": "Life in the Universe", "y_pos": 0.0, "current_revision_key": "372eee95a3739a63ba19866ac22ebc1bc605f55e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "When and how did life emerge on Earth? How did humanity develop a civilization? Is there other intelligent life out there?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When and how did life emerge on Earth? How did humanity develop a civilization? Is there other intelligent life out there?", "x_pos": 0.0, "node_slug": "life-earth-universe", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc2dac31d", "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe", "extended_slug": "science/cosmology-and-astronomy/life-earth-universe", "slug": "life-earth-universe", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d408a68dc1fd4dc6edeeadde006b65f0dd20bc8b", "standalone_title": "Life on Earth and in the Universe", "y_pos": 0.0, "current_revision_key": "d408a68dc1fd4dc6edeeadde006b65f0dd20bc8b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos attempting to grasp a little bit about our Universe (many of the topics associated with \"Big History\")", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos attempting to grasp a little bit about our Universe (many of the topics associated with \"Big History\")", "x_pos": 0.0, "node_slug": "cosmology-and-astronomy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcdef9704", "topic_page_url": "/science/cosmology-and-astronomy", "extended_slug": "science/cosmology-and-astronomy", "slug": "cosmology-and-astronomy", "tags": ["cosmology", "astronomy"], "kind": "Topic", "in_topic_browser": true, "sha": "7d12f62d662977a8617ccb567d322b8a88be1d30", "standalone_title": "Cosmology and astronomy", "y_pos": 0.0, "current_revision_key": "7d12f62d662977a8617ccb567d322b8a88be1d30", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/computer-science-subject", "web_url": "", "ka_url": "http://www.khanacademy.org/science/computer-science-subject", "translated_standalone_title": "Python programming", "translated_title": "Python programming", "gplus_url": "", "id": "x3b5694ef", "old_key_name": null, "hide": false, "title": "Python programming", "child_data": [{"kind": "Topic", "id": "x301707a0"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/computer-science-subject/computer-science", "web_url": "", "ka_url": "http://www.khanacademy.org/science/computer-science-subject/computer-science", "translated_standalone_title": "Python Programming", "translated_title": "Python programming", "gplus_url": "", "id": "x301707a0", "old_key_name": "cWHZKOH7Y13So-mfmxoQ4SMdEWB0aYkBzywJAQod", "hide": false, "title": "Python programming", "child_data": [{"kind": "Video", "id": 133798248}, {"kind": "Video", "id": 65176942}, {"kind": "Video", "id": 133798249}, {"kind": "Video", "id": 133798250}, {"kind": "Video", "id": 133798251}, {"kind": "Video", "id": 134691533}, {"kind": "Video", "id": 133798255}, {"kind": "Video", "id": 132660403}, {"kind": "Video", "id": 132660406}, {"kind": "Video", "id": 132660407}, {"kind": "Video", "id": 132660401}, {"kind": "Video", "id": 132660405}, {"kind": "Video", "id": 132660402}, {"kind": "Video", "id": 132660404}, {"kind": "Video", "id": 133798252}, {"kind": "Video", "id": 133798256}, {"kind": "Video", "id": 133798253}, {"kind": "Video", "id": 133798254}, {"kind": "Video", "id": 134691531}, {"kind": "Video", "id": 134691530}, {"kind": "Video", "id": 134691529}, {"kind": "Video", "id": 134691532}, {"kind": "Video", "id": 134691534}, {"kind": "Video", "id": 145846963}], "children": [{"translated_youtube_id": "husPzLE6sZc", "relative_url": "/video/introduction-to-programs-data-types-and-variables", "has_questions": false, "keywords": "python, programming, computer, science, marquee", "ka_url": "http://www.khanacademy.org/video/introduction-to-programs-data-types-and-variables", "duration": 688, "translated_title": "Introduction to programs, data types, and variables", "translated_description_html": "Writing a basic program. Basics of data types, variables and conditional statements", "id": "133798248", "description_html": "Writing a basic program. Basics of data types, variables and conditional statements", "title": "Introduction to programs, data types, and variables", "progress_key": "v133798248", "edit_slug": "edit/v/133798248", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Writing a basic program. Basics of data types, variables and conditional statements", "extra_properties": null, "node_slug": "v/introduction-to-programs-data-types-and-variables", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/husPzLE6sZc.mp4/husPzLE6sZc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/husPzLE6sZc.mp4/husPzLE6sZc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/husPzLE6sZc.m3u8/husPzLE6sZc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=husPzLE6sZc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798248", "sha": "298df84f7eae96122e8a06abfef1297223e5985b", "translated_description": "Writing a basic program. Basics of data types, variables and conditional statements", "image_url": "https://img.youtube.com/vi/husPzLE6sZc/hqdefault.jpg", "youtube_id": "husPzLE6sZc", "content_kind": "Video", "readable_id": "introduction-to-programs-data-types-and-variables"}, {"translated_youtube_id": "ry1hpm1GXVI", "relative_url": "/video/binary-numbers", "has_questions": false, "keywords": "binary, base, decimal", "ka_url": "http://www.khanacademy.org/video/binary-numbers", "duration": 634, "translated_title": "Binary numbers", "translated_description_html": "Understanding how numbers are represented. Introduction to binary numbers", "id": "65176942", "description_html": "Understanding how numbers are represented. Introduction to binary numbers", "title": "Binary numbers", "progress_key": "v65176942", "edit_slug": "edit/v/65176942", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how numbers are represented. Introduction to binary numbers", "extra_properties": null, "node_slug": "v/binary-numbers", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ry1hpm1GXVI.mp4/ry1hpm1GXVI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ry1hpm1GXVI.mp4/ry1hpm1GXVI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ry1hpm1GXVI.m3u8/ry1hpm1GXVI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ry1hpm1GXVI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65176942", "sha": "683c44349dbbdf0495e85cbb3b18c295bb169b74", "translated_description": "Understanding how numbers are represented. Introduction to binary numbers", "image_url": "https://img.youtube.com/vi/ry1hpm1GXVI/hqdefault.jpg", "youtube_id": "ry1hpm1GXVI", "content_kind": "Video", "readable_id": "binary-numbers"}, {"translated_youtube_id": "zEyEC34MY1A", "relative_url": "/video/python-lists", "has_questions": false, "keywords": "programming, computer, science, python, list", "ka_url": "http://www.khanacademy.org/video/python-lists", "duration": 701, "translated_title": "Python lists", "translated_description_html": "Understanding the basics of lists in Python", "id": "133798249", "description_html": "Understanding the basics of lists in Python", "title": "Python lists", "progress_key": "v133798249", "edit_slug": "edit/v/133798249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the basics of lists in Python", "extra_properties": null, "node_slug": "v/python-lists", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zEyEC34MY1A.mp4/zEyEC34MY1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zEyEC34MY1A.mp4/zEyEC34MY1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zEyEC34MY1A.m3u8/zEyEC34MY1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zEyEC34MY1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798249", "sha": "577414249d64fae85844b669659b8c4d8e48c5e9", "translated_description": "Understanding the basics of lists in Python", "image_url": "https://img.youtube.com/vi/zEyEC34MY1A/hqdefault.jpg", "youtube_id": "zEyEC34MY1A", "content_kind": "Video", "readable_id": "python-lists"}, {"translated_youtube_id": "9LgyKiq_hU0", "relative_url": "/video/for-loops-in-python", "has_questions": false, "keywords": "range, for, loop, python", "ka_url": "http://www.khanacademy.org/video/for-loops-in-python", "duration": 615, "translated_title": "For loops in python", "translated_description_html": "Basics of for loops in Python", "id": "133798250", "description_html": "Basics of for loops in Python", "title": "For loops in python", "progress_key": "v133798250", "edit_slug": "edit/v/133798250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of for loops in Python", "extra_properties": null, "node_slug": "v/for-loops-in-python", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9LgyKiq_hU0.mp4/9LgyKiq_hU0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9LgyKiq_hU0.mp4/9LgyKiq_hU0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9LgyKiq_hU0.m3u8/9LgyKiq_hU0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9LgyKiq_hU0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798250", "sha": "7353b3c6819902dc972f20a4adfe37adf919a03c", "translated_description": "Basics of for loops in Python", "image_url": "https://img.youtube.com/vi/9LgyKiq_hU0/hqdefault.jpg", "youtube_id": "9LgyKiq_hU0", "content_kind": "Video", "readable_id": "for-loops-in-python"}, {"translated_youtube_id": "D0Nb2Fs3Q8c", "relative_url": "/video/while-loops-in-python", "has_questions": false, "keywords": "computer, science, programming, python", "ka_url": "http://www.khanacademy.org/video/while-loops-in-python", "duration": 319, "translated_title": "While loops in python", "translated_description_html": "Seeing that a while loop can do the same thing as a for loop", "id": "133798251", "description_html": "Seeing that a while loop can do the same thing as a for loop", "title": "While loops in python", "progress_key": "v133798251", "edit_slug": "edit/v/133798251", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing that a while loop can do the same thing as a for loop", "extra_properties": null, "node_slug": "v/while-loops-in-python", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D0Nb2Fs3Q8c.mp4/D0Nb2Fs3Q8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D0Nb2Fs3Q8c.mp4/D0Nb2Fs3Q8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D0Nb2Fs3Q8c.m3u8/D0Nb2Fs3Q8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D0Nb2Fs3Q8c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798251", "sha": "6130a3c22ae6da884a1077e14568b6c57145b2a7", "translated_description": "Seeing that a while loop can do the same thing as a for loop", "image_url": "https://img.youtube.com/vi/D0Nb2Fs3Q8c/hqdefault.jpg", "youtube_id": "D0Nb2Fs3Q8c", "content_kind": "Video", "readable_id": "while-loops-in-python"}, {"translated_youtube_id": "iZAtkS0F-Zo", "relative_url": "/video/fun-with-strings", "has_questions": false, "keywords": "eval, splice, string, programming, python", "ka_url": "http://www.khanacademy.org/video/fun-with-strings", "duration": 838, "translated_title": "Fun with strings", "translated_description_html": "Experimenting and seeing what we can do with strings", "id": "134691533", "description_html": "Experimenting and seeing what we can do with strings", "title": "Fun with strings", "progress_key": "v134691533", "edit_slug": "edit/v/134691533", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Experimenting and seeing what we can do with strings", "extra_properties": null, "node_slug": "v/fun-with-strings", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iZAtkS0F-Zo.mp4/iZAtkS0F-Zo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iZAtkS0F-Zo.mp4/iZAtkS0F-Zo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iZAtkS0F-Zo.m3u8/iZAtkS0F-Zo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iZAtkS0F-Zo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691533", "sha": "cf5684ad4e4b0bd8cc6fcbe23f47b539d4d07743", "translated_description": "Experimenting and seeing what we can do with strings", "image_url": "https://img.youtube.com/vi/iZAtkS0F-Zo/hqdefault.jpg", "youtube_id": "iZAtkS0F-Zo", "content_kind": "Video", "readable_id": "fun-with-strings"}, {"translated_youtube_id": "ZyYp1V84Xqc", "relative_url": "/video/writing-a-simple-factorial-program---python-2", "has_questions": false, "keywords": "computer, science, python, programming", "ka_url": "http://www.khanacademy.org/video/writing-a-simple-factorial-program---python-2", "duration": 489, "translated_title": "Writing a simple factorial program (python 2)", "translated_description_html": "Writing a simple factorial program with a \"for\" loop", "id": "133798255", "description_html": "Writing a simple factorial program with a \"for\" loop", "title": "Writing a simple factorial program (python 2)", "progress_key": "v133798255", "edit_slug": "edit/v/133798255", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Writing a simple factorial program with a \"for\" loop", "extra_properties": null, "node_slug": "v/writing-a-simple-factorial-program---python-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyYp1V84Xqc.mp4/ZyYp1V84Xqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyYp1V84Xqc.mp4/ZyYp1V84Xqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyYp1V84Xqc.m3u8/ZyYp1V84Xqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyYp1V84Xqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798255", "sha": "ff8df418cf7e2dc630d777fe832dd4e6bf1e52b2", "translated_description": "Writing a simple factorial program with a \"for\" loop", "image_url": "https://img.youtube.com/vi/ZyYp1V84Xqc/hqdefault.jpg", "youtube_id": "ZyYp1V84Xqc", "content_kind": "Video", "readable_id": "writing-a-simple-factorial-program---python-2"}, {"translated_youtube_id": "dn9XjHz33O8", "relative_url": "/video/stepping-through-the-factorial-program", "has_questions": false, "keywords": "factorial, python, computer, science", "ka_url": "http://www.khanacademy.org/video/stepping-through-the-factorial-program", "duration": 564, "translated_title": "Stepping through the factorial program", "translated_description_html": "Stepping through what happens when a user inputs a particular value into our factorial program", "id": "132660403", "description_html": "Stepping through what happens when a user inputs a particular value into our factorial program", "title": "Stepping through the factorial program", "progress_key": "v132660403", "edit_slug": "edit/v/132660403", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Stepping through what happens when a user inputs a particular value into our factorial program", "extra_properties": null, "node_slug": "v/stepping-through-the-factorial-program", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dn9XjHz33O8.mp4/dn9XjHz33O8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dn9XjHz33O8.mp4/dn9XjHz33O8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dn9XjHz33O8.m3u8/dn9XjHz33O8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dn9XjHz33O8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660403", "sha": "1e4b3f829813bb85f5de62201065cfce0680625f", "translated_description": "Stepping through what happens when a user inputs a particular value into our factorial program", "image_url": "https://img.youtube.com/vi/dn9XjHz33O8/hqdefault.jpg", "youtube_id": "dn9XjHz33O8", "content_kind": "Video", "readable_id": "stepping-through-the-factorial-program"}, {"translated_youtube_id": "EiR6cf8Towc", "relative_url": "/video/flowchart-for-the-factorial-program", "has_questions": false, "keywords": "python, computer, science", "ka_url": "http://www.khanacademy.org/video/flowchart-for-the-factorial-program", "duration": 336, "translated_title": "Flowchart for the factorial program", "translated_description_html": "Flowchart for the factorial program", "id": "132660406", "description_html": "Flowchart for the factorial program", "title": "Flowchart for the factorial program", "progress_key": "v132660406", "edit_slug": "edit/v/132660406", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Flowchart for the factorial program", "extra_properties": null, "node_slug": "v/flowchart-for-the-factorial-program", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EiR6cf8Towc.mp4/EiR6cf8Towc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EiR6cf8Towc.mp4/EiR6cf8Towc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EiR6cf8Towc.m3u8/EiR6cf8Towc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EiR6cf8Towc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660406", "sha": "4ee3a4cede3190d65da7854e5260697acfcad961", "translated_description": "Flowchart for the factorial program", "image_url": "https://img.youtube.com/vi/EiR6cf8Towc/hqdefault.jpg", "youtube_id": "EiR6cf8Towc", "content_kind": "Video", "readable_id": "flowchart-for-the-factorial-program"}, {"translated_youtube_id": "WT-gS-8p7KA", "relative_url": "/video/python-3-not-backwards-compatible-with-python-2", "has_questions": false, "keywords": "computer, science, python", "ka_url": "http://www.khanacademy.org/video/python-3-not-backwards-compatible-with-python-2", "duration": 322, "translated_title": "Python 3 not backwards compatible with python 2", "translated_description_html": "Understanding why the example program would not run in Python 3 and how to fix it.", "id": "132660407", "description_html": "Understanding why the example program would not run in Python 3 and how to fix it.", "title": "Python 3 not backwards compatible with python 2", "progress_key": "v132660407", "edit_slug": "edit/v/132660407", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding why the example program would not run in Python 3 and how to fix it.", "extra_properties": null, "node_slug": "v/python-3-not-backwards-compatible-with-python-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WT-gS-8p7KA.mp4/WT-gS-8p7KA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WT-gS-8p7KA.mp4/WT-gS-8p7KA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WT-gS-8p7KA.m3u8/WT-gS-8p7KA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WT-gS-8p7KA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660407", "sha": "7b1b3bf5e79c4ddaa48b194754540bdd9afab488", "translated_description": "Understanding why the example program would not run in Python 3 and how to fix it.", "image_url": "https://img.youtube.com/vi/WT-gS-8p7KA/hqdefault.jpg", "youtube_id": "WT-gS-8p7KA", "content_kind": "Video", "readable_id": "python-3-not-backwards-compatible-with-python-2"}, {"translated_youtube_id": "JwO_25S_eWE", "relative_url": "/video/defining-a-factorial-function", "has_questions": false, "keywords": "computer, science, python, function", "ka_url": "http://www.khanacademy.org/video/defining-a-factorial-function", "duration": 606, "translated_title": "Defining a factorial function", "translated_description_html": "Defining a function in Python", "id": "132660401", "description_html": "Defining a function in Python", "title": "Defining a factorial function", "progress_key": "v132660401", "edit_slug": "edit/v/132660401", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Defining a function in Python", "extra_properties": null, "node_slug": "v/defining-a-factorial-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JwO_25S_eWE.mp4/JwO_25S_eWE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JwO_25S_eWE.mp4/JwO_25S_eWE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JwO_25S_eWE.m3u8/JwO_25S_eWE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JwO_25S_eWE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660401", "sha": "b65fb09d7b7849d7254b072788d3e76aa4604729", "translated_description": "Defining a function in Python", "image_url": "https://img.youtube.com/vi/JwO_25S_eWE/hqdefault.jpg", "youtube_id": "JwO_25S_eWE", "content_kind": "Video", "readable_id": "defining-a-factorial-function"}, {"translated_youtube_id": "6qCQB8E5bkI", "relative_url": "/video/diagramming-what-happens-with-a-function-call", "has_questions": false, "keywords": "python, computer, science", "ka_url": "http://www.khanacademy.org/video/diagramming-what-happens-with-a-function-call", "duration": 552, "translated_title": "Diagramming what happens with a function call", "translated_description_html": "Variable scope and function calls", "id": "132660405", "description_html": "Variable scope and function calls", "title": "Diagramming what happens with a function call", "progress_key": "v132660405", "edit_slug": "edit/v/132660405", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Variable scope and function calls", "extra_properties": null, "node_slug": "v/diagramming-what-happens-with-a-function-call", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6qCQB8E5bkI.mp4/6qCQB8E5bkI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6qCQB8E5bkI.mp4/6qCQB8E5bkI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6qCQB8E5bkI.m3u8/6qCQB8E5bkI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6qCQB8E5bkI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660405", "sha": "c74484f8076266761b6f810b20bb4bea887e6575", "translated_description": "Variable scope and function calls", "image_url": "https://img.youtube.com/vi/6qCQB8E5bkI/hqdefault.jpg", "youtube_id": "6qCQB8E5bkI", "content_kind": "Video", "readable_id": "diagramming-what-happens-with-a-function-call"}, {"translated_youtube_id": "o920mj0NbhE", "relative_url": "/video/recursive-factorial-function", "has_questions": false, "keywords": "factorial, recursion, computer, science", "ka_url": "http://www.khanacademy.org/video/recursive-factorial-function", "duration": 335, "translated_title": "Recursive factorial function", "translated_description_html": "Introduction to recursion.", "id": "132660402", "description_html": "Introduction to recursion.", "title": "Recursive factorial function", "progress_key": "v132660402", "edit_slug": "edit/v/132660402", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to recursion.", "extra_properties": null, "node_slug": "v/recursive-factorial-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.mp4/o920mj0NbhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.mp4/o920mj0NbhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.m3u8/o920mj0NbhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o920mj0NbhE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660402", "sha": "1f3e56ea98c9b5fa2b8b8a738bdf23e43483833d", "translated_description": "Introduction to recursion.", "image_url": "https://img.youtube.com/vi/o920mj0NbhE/hqdefault.jpg", "youtube_id": "o920mj0NbhE", "content_kind": "Video", "readable_id": "recursive-factorial-function"}, {"translated_youtube_id": "kx6DfrYfWnQ", "relative_url": "/video/comparing-iterative-and-recursive-factorial-functions", "has_questions": false, "keywords": "computer, science, python, interation, recursion", "ka_url": "http://www.khanacademy.org/video/comparing-iterative-and-recursive-factorial-functions", "duration": 468, "translated_title": "Comparing iterative and recursive factorial functions", "translated_description_html": "Comparing iterative and recursive factorial functions", "id": "132660404", "description_html": "Comparing iterative and recursive factorial functions", "title": "Comparing iterative and recursive factorial functions", "progress_key": "v132660404", "edit_slug": "edit/v/132660404", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing iterative and recursive factorial functions", "extra_properties": null, "node_slug": "v/comparing-iterative-and-recursive-factorial-functions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-29T23:29:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kx6DfrYfWnQ.mp4/kx6DfrYfWnQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kx6DfrYfWnQ.mp4/kx6DfrYfWnQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kx6DfrYfWnQ.m3u8/kx6DfrYfWnQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kx6DfrYfWnQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v132660404", "sha": "6347b300f07eceedf6f766c1ae8ea8399eb76ef9", "translated_description": "Comparing iterative and recursive factorial functions", "image_url": "https://img.youtube.com/vi/kx6DfrYfWnQ/hqdefault.jpg", "youtube_id": "kx6DfrYfWnQ", "content_kind": "Video", "readable_id": "comparing-iterative-and-recursive-factorial-functions"}, {"translated_youtube_id": "Bdbc1ZC-vhw", "relative_url": "/video/exercise---write-a-fibonacci-function", "has_questions": false, "keywords": "python, computer, science", "ka_url": "http://www.khanacademy.org/video/exercise---write-a-fibonacci-function", "duration": 255, "translated_title": "Exercise: Write a Fibonacci function", "translated_description_html": "Introduction to the Fibonacci Sequence and a programming challenge", "id": "133798252", "description_html": "Introduction to the Fibonacci Sequence and a programming challenge", "title": "Exercise: Write a Fibonacci function", "progress_key": "v133798252", "edit_slug": "edit/v/133798252", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Fibonacci Sequence and a programming challenge", "extra_properties": null, "node_slug": "v/exercise---write-a-fibonacci-function", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bdbc1ZC-vhw.mp4/Bdbc1ZC-vhw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bdbc1ZC-vhw.mp4/Bdbc1ZC-vhw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bdbc1ZC-vhw.m3u8/Bdbc1ZC-vhw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bdbc1ZC-vhw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798252", "sha": "2318155ff9df6ed6c7728c68d405f9d1f5a00a6f", "translated_description": "Introduction to the Fibonacci Sequence and a programming challenge", "image_url": "https://img.youtube.com/vi/Bdbc1ZC-vhw/hqdefault.jpg", "youtube_id": "Bdbc1ZC-vhw", "content_kind": "Video", "readable_id": "exercise---write-a-fibonacci-function"}, {"translated_youtube_id": "94O_3QCvfqI", "relative_url": "/video/iterative-fibonacci-function-example", "has_questions": false, "keywords": "computer, science, python", "ka_url": "http://www.khanacademy.org/video/iterative-fibonacci-function-example", "duration": 393, "translated_title": "Iterative Fibonacci function example", "translated_description_html": "One way to write a Fibonacci function iteratively", "id": "133798256", "description_html": "One way to write a Fibonacci function iteratively", "title": "Iterative Fibonacci function example", "progress_key": "v133798256", "edit_slug": "edit/v/133798256", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "One way to write a Fibonacci function iteratively", "extra_properties": null, "node_slug": "v/iterative-fibonacci-function-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/94O_3QCvfqI.mp4/94O_3QCvfqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/94O_3QCvfqI.mp4/94O_3QCvfqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/94O_3QCvfqI.m3u8/94O_3QCvfqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=94O_3QCvfqI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798256", "sha": "c712720187a2591cf9a2a4373ef379db0881c64c", "translated_description": "One way to write a Fibonacci function iteratively", "image_url": "https://img.youtube.com/vi/94O_3QCvfqI/hqdefault.jpg", "youtube_id": "94O_3QCvfqI", "content_kind": "Video", "readable_id": "iterative-fibonacci-function-example"}, {"translated_youtube_id": "-BE7FEouGeI", "relative_url": "/video/stepping-through-iterative-fibonacci-function", "has_questions": false, "keywords": "while, loop, computer, science, python, programming", "ka_url": "http://www.khanacademy.org/video/stepping-through-iterative-fibonacci-function", "duration": 579, "translated_title": "Stepping through iterative Fibonacci function", "translated_description_html": "Understanding how the iterative fibonacci function works for a particular example", "id": "133798253", "description_html": "Understanding how the iterative fibonacci function works for a particular example", "title": "Stepping through iterative Fibonacci function", "progress_key": "v133798253", "edit_slug": "edit/v/133798253", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding how the iterative fibonacci function works for a particular example", "extra_properties": null, "node_slug": "v/stepping-through-iterative-fibonacci-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-BE7FEouGeI.mp4/-BE7FEouGeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-BE7FEouGeI.mp4/-BE7FEouGeI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-BE7FEouGeI.m3u8/-BE7FEouGeI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-BE7FEouGeI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798253", "sha": "ea2d1d895df2bcafe4191975f7488a67eebd1fc7", "translated_description": "Understanding how the iterative fibonacci function works for a particular example", "image_url": "https://img.youtube.com/vi/-BE7FEouGeI/hqdefault.jpg", "youtube_id": "-BE7FEouGeI", "content_kind": "Video", "readable_id": "stepping-through-iterative-fibonacci-function"}, {"translated_youtube_id": "urPVT1lymzU", "relative_url": "/video/recursive-fibonacci-example", "has_questions": false, "keywords": "recursive, algorithm, computer, science, python", "ka_url": "http://www.khanacademy.org/video/recursive-fibonacci-example", "duration": 457, "translated_title": "Recursive Fibonacci example", "translated_description_html": "Using recursion to write a fibonacci function", "id": "133798254", "description_html": "Using recursion to write a fibonacci function", "title": "Recursive Fibonacci example", "progress_key": "v133798254", "edit_slug": "edit/v/133798254", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using recursion to write a fibonacci function", "extra_properties": null, "node_slug": "v/recursive-fibonacci-example", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-30T23:30:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/urPVT1lymzU.mp4/urPVT1lymzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/urPVT1lymzU.mp4/urPVT1lymzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/urPVT1lymzU.m3u8/urPVT1lymzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=urPVT1lymzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v133798254", "sha": "9d1031edf6e2fe750bb40256e21835be438582d0", "translated_description": "Using recursion to write a fibonacci function", "image_url": "https://img.youtube.com/vi/urPVT1lymzU/hqdefault.jpg", "youtube_id": "urPVT1lymzU", "content_kind": "Video", "readable_id": "recursive-fibonacci-example"}, {"translated_youtube_id": "zg-ddPbzcKM", "relative_url": "/video/stepping-through-recursive-fibonacci-function", "has_questions": false, "keywords": "python, programming, computer, science", "ka_url": "http://www.khanacademy.org/video/stepping-through-recursive-fibonacci-function", "duration": 484, "translated_title": "Stepping through recursive Fibonacci function", "translated_description_html": "Understanding why and how the recursive Fibonacci function works", "id": "134691531", "description_html": "Understanding why and how the recursive Fibonacci function works", "title": "Stepping through recursive Fibonacci function", "progress_key": "v134691531", "edit_slug": "edit/v/134691531", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding why and how the recursive Fibonacci function works", "extra_properties": null, "node_slug": "v/stepping-through-recursive-fibonacci-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zg-ddPbzcKM.mp4/zg-ddPbzcKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zg-ddPbzcKM.mp4/zg-ddPbzcKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zg-ddPbzcKM.m3u8/zg-ddPbzcKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zg-ddPbzcKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691531", "sha": "681f661d3798425dbb20fc5581d916dbe06ccdd9", "translated_description": "Understanding why and how the recursive Fibonacci function works", "image_url": "https://img.youtube.com/vi/zg-ddPbzcKM/hqdefault.jpg", "youtube_id": "zg-ddPbzcKM", "content_kind": "Video", "readable_id": "stepping-through-recursive-fibonacci-function"}, {"translated_youtube_id": "Qbl-RZS2-4g", "relative_url": "/video/exercise---write-a-sorting-function", "has_questions": false, "keywords": "programming, computer, science", "ka_url": "http://www.khanacademy.org/video/exercise---write-a-sorting-function", "duration": 132, "translated_title": "Exercise: Write a sorting function", "translated_description_html": "Challenge to write a Python function that can sort a list in-place", "id": "134691530", "description_html": "Challenge to write a Python function that can sort a list in-place", "title": "Exercise: Write a sorting function", "progress_key": "v134691530", "edit_slug": "edit/v/134691530", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Challenge to write a Python function that can sort a list in-place", "extra_properties": null, "node_slug": "v/exercise---write-a-sorting-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qbl-RZS2-4g.mp4/Qbl-RZS2-4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qbl-RZS2-4g.mp4/Qbl-RZS2-4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qbl-RZS2-4g.m3u8/Qbl-RZS2-4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qbl-RZS2-4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691530", "sha": "df356e96859f6129f317df6c18baed8d0304f804", "translated_description": "Challenge to write a Python function that can sort a list in-place", "image_url": "https://img.youtube.com/vi/Qbl-RZS2-4g/hqdefault.jpg", "youtube_id": "Qbl-RZS2-4g", "content_kind": "Video", "readable_id": "exercise---write-a-sorting-function"}, {"translated_youtube_id": "lCzQvQr8Utw", "relative_url": "/video/insertion-sort-algorithm", "has_questions": false, "keywords": "computer, science, python, programming", "ka_url": "http://www.khanacademy.org/video/insertion-sort-algorithm", "duration": 472, "translated_title": "Insertion sort algorithm", "translated_description_html": "Visual description of the insertion sort algorithm", "id": "134691529", "description_html": "Visual description of the insertion sort algorithm", "title": "Insertion sort algorithm", "progress_key": "v134691529", "edit_slug": "edit/v/134691529", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visual description of the insertion sort algorithm", "extra_properties": null, "node_slug": "v/insertion-sort-algorithm", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lCzQvQr8Utw.mp4/lCzQvQr8Utw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lCzQvQr8Utw.mp4/lCzQvQr8Utw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lCzQvQr8Utw.m3u8/lCzQvQr8Utw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lCzQvQr8Utw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691529", "sha": "032f7a07fec20f5c50e529bff48cc73b5f77b4a1", "translated_description": "Visual description of the insertion sort algorithm", "image_url": "https://img.youtube.com/vi/lCzQvQr8Utw/hqdefault.jpg", "youtube_id": "lCzQvQr8Utw", "content_kind": "Video", "readable_id": "insertion-sort-algorithm"}, {"translated_youtube_id": "lEA31vHiry4", "relative_url": "/video/insertion-sort-in-python", "has_questions": false, "keywords": "computer, science, python, programming", "ka_url": "http://www.khanacademy.org/video/insertion-sort-in-python", "duration": 516, "translated_title": "Insertion sort in python", "translated_description_html": "Basic implementation of insertion sort algorithm", "id": "134691532", "description_html": "Basic implementation of insertion sort algorithm", "title": "Insertion sort in python", "progress_key": "v134691532", "edit_slug": "edit/v/134691532", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic implementation of insertion sort algorithm", "extra_properties": null, "node_slug": "v/insertion-sort-in-python", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lEA31vHiry4.mp4/lEA31vHiry4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lEA31vHiry4.mp4/lEA31vHiry4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lEA31vHiry4.m3u8/lEA31vHiry4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lEA31vHiry4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691532", "sha": "3b25ef9623391c78ccd6d61f299e36e2dcff02ab", "translated_description": "Basic implementation of insertion sort algorithm", "image_url": "https://img.youtube.com/vi/lEA31vHiry4/hqdefault.jpg", "youtube_id": "lEA31vHiry4", "content_kind": "Video", "readable_id": "insertion-sort-in-python"}, {"translated_youtube_id": "6pyeMmJTefg", "relative_url": "/video/stepping-through-insertion-sort-function", "has_questions": false, "keywords": "computer, science, programming, python", "ka_url": "http://www.khanacademy.org/video/stepping-through-insertion-sort-function", "duration": 714, "translated_title": "Stepping through insertion sort function", "translated_description_html": "Clarifying what \"break\" does and stepping through the insertion sort implementation", "id": "134691534", "description_html": "Clarifying what \"break\" does and stepping through the insertion sort implementation", "title": "Stepping through insertion sort function", "progress_key": "v134691534", "edit_slug": "edit/v/134691534", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Clarifying what \"break\" does and stepping through the insertion sort implementation", "extra_properties": null, "node_slug": "v/stepping-through-insertion-sort-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-01T23:27:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6pyeMmJTefg.mp4/6pyeMmJTefg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6pyeMmJTefg.mp4/6pyeMmJTefg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6pyeMmJTefg.m3u8/6pyeMmJTefg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6pyeMmJTefg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v134691534", "sha": "1a8014a59f41c71bce7967224623fbfbe41318c1", "translated_description": "Clarifying what \"break\" does and stepping through the insertion sort implementation", "image_url": "https://img.youtube.com/vi/6pyeMmJTefg/hqdefault.jpg", "youtube_id": "6pyeMmJTefg", "content_kind": "Video", "readable_id": "stepping-through-insertion-sort-function"}, {"translated_youtube_id": "hh3AkOGnnpE", "relative_url": "/video/simpler-insertion-sort-function", "has_questions": false, "keywords": "computer, science, khan, academy, sort", "ka_url": "http://www.khanacademy.org/video/simpler-insertion-sort-function", "duration": 169, "translated_title": "Simpler insertion sort function", "translated_description_html": "Simplifying the while loop for the Insertion Sort function", "id": "145846963", "description_html": "Simplifying the while loop for the Insertion Sort function", "title": "Simpler insertion sort function", "progress_key": "v145846963", "edit_slug": "edit/v/145846963", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simplifying the while loop for the Insertion Sort function", "extra_properties": null, "node_slug": "v/simpler-insertion-sort-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-11T23:29:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hh3AkOGnnpE.mp4/hh3AkOGnnpE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hh3AkOGnnpE.mp4/hh3AkOGnnpE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hh3AkOGnnpE.m3u8/hh3AkOGnnpE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hh3AkOGnnpE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v145846963", "sha": "25647dbd22db02a800c46105bee956fde142c271", "translated_description": "Simplifying the while loop for the Insertion Sort function", "image_url": "https://img.youtube.com/vi/hh3AkOGnnpE/hqdefault.jpg", "youtube_id": "hh3AkOGnnpE", "content_kind": "Video", "readable_id": "simpler-insertion-sort-function"}], "twitter_url": "", "translated_description": "Introduction to programming and computer science using Python", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Introduction to programming and computer science using Python", "x_pos": 0.0, "node_slug": "computer-science", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax301707a0", "topic_page_url": "/science/computer-science-subject/computer-science", "extended_slug": "science/computer-science-subject/computer-science", "slug": "computer-science", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "890b241dfde4118e72487d04c68979a3f43ee83e", "standalone_title": "Python Programming", "y_pos": 0.0, "current_revision_key": "890b241dfde4118e72487d04c68979a3f43ee83e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Introduction to programming and computer science using Python", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Introduction to programming and computer science using Python", "x_pos": 0.0, "node_slug": "computer-science-subject", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-08T05:34:47Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3b5694ef", "topic_page_url": "/science/computer-science-subject", "extended_slug": "science/computer-science-subject", "slug": "computer-science-subject", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "fbe627319ae4788e52cc5f7431c6b24b5649cc5e", "standalone_title": "Python programming", "y_pos": 0.0, "current_revision_key": "fbe627319ae4788e52cc5f7431c6b24b5649cc5e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine", "translated_standalone_title": "Healthcare and medicine", "translated_title": "Healthcare and medicine", "gplus_url": "", "id": "x6e556f83", "old_key_name": "70YNk8cdsY1ENFVVo32Whl33YOnG-dEu3lBqXlS8", "hide": false, "title": "Healthcare and medicine", "child_data": [{"kind": "Topic", "id": "x6261ce60"}, {"kind": "Topic", "id": "x4a2e781b"}, {"kind": "Topic", "id": "x3ab6bf15"}, {"kind": "Topic", "id": "xd590f813"}, {"kind": "Topic", "id": "x0b35bcd7"}, {"kind": "Topic", "id": "xc2c4a896"}, {"kind": "Topic", "id": "xf562c87e"}, {"kind": "Topic", "id": "x3e8aeab7"}, {"kind": "Topic", "id": "x243835e6"}, {"kind": "Topic", "id": "xc6ee390c"}, {"kind": "Topic", "id": "xf8d62fa3"}, {"kind": "Topic", "id": "x07fc128c"}, {"kind": "Topic", "id": "x7a573829"}, {"kind": "Topic", "id": "x29b27ae6"}, {"kind": "Topic", "id": "xef0055aa"}, {"kind": "Topic", "id": "x1f8c66c8"}, {"kind": "Topic", "id": "x071ca719"}, {"kind": "Topic", "id": "xe1a3ead8"}, {"kind": "Topic", "id": "xb0d8cc8f"}, {"kind": "Topic", "id": "x4d0eb449"}, {"kind": "Topic", "id": "xbc61f732"}, {"kind": "Topic", "id": "xda292f80"}, {"kind": "Topic", "id": "x8c6b9867"}, {"kind": "Topic", "id": "x069a1823"}, {"kind": "Topic", "id": "x1252e7b0"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/NCLEX-RN", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/NCLEX-RN", "translated_standalone_title": "NCLEX-RN competition", "translated_title": "NCLEX-RN competition", "gplus_url": "", "id": "x4a2e781b", "old_key_name": null, "hide": false, "title": "NCLEX-RN competition", "child_data": [{"kind": "Topic", "id": "x45b35afe"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/NCLEX-RN/nclex-competition", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/NCLEX-RN/nclex-competition", "translated_standalone_title": "NCLEX-RN competition", "translated_title": "NCLEX-RN competition", "gplus_url": "", "id": "x45b35afe", "old_key_name": null, "hide": false, "title": "NCLEX-RN competition", "child_data": [{"kind": "Video", "id": "xcc4952e2"}, {"kind": "Article", "id": "xbfa2579b"}, {"kind": "Video", "id": "xa9840645"}, {"kind": "Article", "id": "xc75dd032"}, {"kind": "Article", "id": "x8ddbd262"}, {"kind": "Article", "id": "xda5efbf9"}], "children": [{"translated_youtube_id": "scHysff-EC8", "relative_url": "/video/nclex-competition-video-announcement", "has_questions": false, "keywords": "nclex competition", "ka_url": "http://www.khanacademy.org/video/nclex-competition-video-announcement", "duration": 105, "translated_title": "NCLEX-RN competition ", "translated_description_html": "", "id": "xcc4952e2", "description_html": "", "title": "NCLEX-RN competition ", "progress_key": "vxcc4952e2", "edit_slug": "edit/v/xcc4952e2", "author_names": ["Rishi Desai"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/nclex-competition-video-announcement", "deleted": false, "backup_timestamp": "2013-10-28T00:46:22Z", "date_added": "2013-10-28T00:46:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/scHysff-EC8.mp4/scHysff-EC8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/scHysff-EC8.mp4/scHysff-EC8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/scHysff-EC8.m3u8/scHysff-EC8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=scHysff-EC8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcc4952e2", "sha": "3ca3fcf84438721e353154bccb347b5967013b02", "translated_description": "", "image_url": "https://img.youtube.com/vi/scHysff-EC8/hqdefault.jpg", "youtube_id": "scHysff-EC8", "content_kind": "Video", "readable_id": "nclex-competition-video-announcement"}, {"translated_youtube_id": "u2F_dTulT0w", "relative_url": "/video/how-to-make-a-video", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-to-make-a-video", "duration": 617, "translated_title": "How to make a video", "translated_description_html": "", "id": "xa9840645", "description_html": "", "title": "How to make a video", "progress_key": "vxa9840645", "edit_slug": "edit/v/xa9840645", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/how-to-make-a-video", "deleted": false, "backup_timestamp": "2013-10-28T00:46:21Z", "date_added": "2013-10-28T00:46:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u2F_dTulT0w.mp4/u2F_dTulT0w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u2F_dTulT0w.mp4/u2F_dTulT0w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u2F_dTulT0w.m3u8/u2F_dTulT0w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u2F_dTulT0w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa9840645", "sha": "5adcfa07f5b3c2f88d69032493ff7ebfbf1574c2", "translated_description": "", "image_url": "https://img.youtube.com/vi/u2F_dTulT0w/hqdefault.jpg", "youtube_id": "u2F_dTulT0w", "content_kind": "Video", "readable_id": "how-to-make-a-video"}], "twitter_url": "", "translated_description": "Make videos for our NCLEX-RN Competition!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Make videos for our NCLEX-RN Competition!", "x_pos": 0.0, "node_slug": "nclex-competition", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T00:46:21Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45b35afe", "topic_page_url": "/science/healthcare-and-medicine/NCLEX-RN/nclex-competition", "extended_slug": "science/healthcare-and-medicine/NCLEX-RN/nclex-competition", "slug": "nclex-competition", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "92550582295659e3d92820d04aead8a3ec33fffc", "standalone_title": "NCLEX-RN competition", "y_pos": 0.0, "current_revision_key": "92550582295659e3d92820d04aead8a3ec33fffc", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "We partnered with the Jonas Center and the American Association of Colleges of Nursing to bring you this exciting competition!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We partnered with the Jonas Center and the American Association of Colleges of Nursing to bring you this exciting competition!", "x_pos": 0.0, "node_slug": "NCLEX-RN", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T01:12:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4a2e781b", "topic_page_url": "/science/healthcare-and-medicine/NCLEX-RN", "extended_slug": "science/healthcare-and-medicine/NCLEX-RN", "slug": "NCLEX-RN", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e1a1cb7c008c70a3e9c7ce61f9c7b0221a4b4c7e", "standalone_title": "NCLEX-RN competition", "y_pos": 0.0, "current_revision_key": "e1a1cb7c008c70a3e9c7ce61f9c7b0221a4b4c7e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-heart", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-heart", "translated_standalone_title": "The Heart", "translated_title": "The heart", "gplus_url": "", "id": "x3ab6bf15", "old_key_name": "ZsmbiCgDlxgNgYqRyUG3w4cUl523F77kKRzKyeqE", "hide": false, "title": "The heart", "child_data": [{"kind": "Topic", "id": "xd01a851d"}, {"kind": "Topic", "id": "xb9efce3a"}, {"kind": "Topic", "id": "x27b3f6ab"}, {"kind": "Topic", "id": "x9c98f570"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-heart/heart-introduction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-heart/heart-introduction", "translated_standalone_title": "Heart Introduction", "translated_title": "Heart introduction", "gplus_url": "", "id": "xd01a851d", "old_key_name": "kQm95pCKa72c8oBDS-qZDenjtw81nUqCpFXrrAlq", "hide": false, "title": "Heart introduction", "child_data": [{"kind": "Video", "id": 1081136975}, {"kind": "Video", "id": 1081260395}, {"kind": "Video", "id": 1081230475}, {"kind": "Video", "id": 1192377802}, {"kind": "Video", "id": 1081112668}, {"kind": "Exercise", "id": "x884b831c"}], "children": [{"translated_youtube_id": "Vi1JK6IYVt8", "relative_url": "/video/meet-the-heart", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/meet-the-heart", "duration": 609, "translated_title": "Meet the heart!", "translated_description_html": "Find out exactly where the heart rests in your body and what it does. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1081136975", "description_html": "Find out exactly where the heart rests in your body and what it does. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Meet the heart!", "progress_key": "v1081136975", "edit_slug": "edit/v/1081136975", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out exactly where the heart rests in your body and what it does. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/meet-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-11T02:17:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vi1JK6IYVt8.mp4/Vi1JK6IYVt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vi1JK6IYVt8.mp4/Vi1JK6IYVt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vi1JK6IYVt8.m3u8/Vi1JK6IYVt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vi1JK6IYVt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081136975", "sha": "c4d264b8aef5952877a25080ac17dc8a0dfe9f6d", "translated_description": "Find out exactly where the heart rests in your body and what it does. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Vi1JK6IYVt8/hqdefault.jpg", "youtube_id": "Vi1JK6IYVt8", "content_kind": "Video", "readable_id": "meet-the-heart"}, {"translated_youtube_id": "bm65xCS5ivo", "relative_url": "/video/layers-of-the-heart", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/layers-of-the-heart", "duration": 733, "translated_title": "Layers of the heart", "translated_description_html": "Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1081260395", "description_html": "Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Layers of the heart", "progress_key": "v1081260395", "edit_slug": "edit/v/1081260395", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/layers-of-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-11T02:19:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bm65xCS5ivo.mp4/bm65xCS5ivo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bm65xCS5ivo.mp4/bm65xCS5ivo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bm65xCS5ivo.m3u8/bm65xCS5ivo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bm65xCS5ivo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081260395", "sha": "afcf66d69ac70474ff8a9df79c0ebd6b356d2c26", "translated_description": "Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/bm65xCS5ivo/hqdefault.jpg", "youtube_id": "bm65xCS5ivo", "content_kind": "Video", "readable_id": "layers-of-the-heart"}, {"translated_youtube_id": "7XaftdE_h60", "relative_url": "/video/flow-through-the-heart", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/flow-through-the-heart", "duration": 471, "translated_title": "Flow through the heart", "translated_description_html": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1081230475", "description_html": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Flow through the heart", "progress_key": "v1081230475", "edit_slug": "edit/v/1081230475", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/flow-through-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-11T02:18:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.mp4/7XaftdE_h60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.mp4/7XaftdE_h60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.m3u8/7XaftdE_h60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7XaftdE_h60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081230475", "sha": "bb7d189751819993456a55f55f05cf61128d1c8b", "translated_description": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7XaftdE_h60/hqdefault.jpg", "youtube_id": "7XaftdE_h60", "content_kind": "Video", "readable_id": "flow-through-the-heart"}, {"translated_youtube_id": "K57qjYYjgIY", "relative_url": "/video/two-circulations-in-the-body", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/two-circulations-in-the-body", "duration": 745, "translated_title": "Two circulations in the body", "translated_description_html": "Learn the difference between the pulmonary and systemic circulatory systems in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1192377802", "description_html": "Learn the difference between the pulmonary and systemic circulatory systems in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Two circulations in the body", "progress_key": "v1192377802", "edit_slug": "edit/v/1192377802", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the difference between the pulmonary and systemic circulatory systems in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/two-circulations-in-the-body", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-03T14:57:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K57qjYYjgIY.mp4/K57qjYYjgIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K57qjYYjgIY.mp4/K57qjYYjgIY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K57qjYYjgIY.m3u8/K57qjYYjgIY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K57qjYYjgIY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1192377802", "sha": "fd25bcbb62c334d5f68ce8b82d9f31a1bcff498d", "translated_description": "Learn the difference between the pulmonary and systemic circulatory systems in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/K57qjYYjgIY/hqdefault.jpg", "youtube_id": "K57qjYYjgIY", "content_kind": "Video", "readable_id": "two-circulations-in-the-body"}, {"translated_youtube_id": "-4kGMI-qQ3I", "relative_url": "/video/lub-dub", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/lub-dub", "duration": 590, "translated_title": "Lub dub", "translated_description_html": "Ever wonder why the heart sounds the way that it does? Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats... Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1081112668", "description_html": "Ever wonder why the heart sounds the way that it does? Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats... Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Lub dub", "progress_key": "v1081112668", "edit_slug": "edit/v/1081112668", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ever wonder why the heart sounds the way that it does? Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats... Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/lub-dub", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-10-11T02:19:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-4kGMI-qQ3I.mp4/-4kGMI-qQ3I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-4kGMI-qQ3I.mp4/-4kGMI-qQ3I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-4kGMI-qQ3I.m3u8/-4kGMI-qQ3I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-4kGMI-qQ3I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081112668", "sha": "cead25a212611332ec73bf79a750d8ab42917de6", "translated_description": "Ever wonder why the heart sounds the way that it does? Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats... Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/-4kGMI-qQ3I/hqdefault.jpg", "youtube_id": "-4kGMI-qQ3I", "content_kind": "Video", "readable_id": "lub-dub"}], "twitter_url": "", "translated_description": "No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub”.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub”.", "x_pos": 0.0, "node_slug": "heart-introduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd01a851d", "topic_page_url": "/science/healthcare-and-medicine/the-heart/heart-introduction", "extended_slug": "science/healthcare-and-medicine/the-heart/heart-introduction", "slug": "heart-introduction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9d40b201fb8e1d66c7e3b426fba35149b78f7812", "standalone_title": "Heart Introduction", "y_pos": 0.0, "current_revision_key": "9d40b201fb8e1d66c7e3b426fba35149b78f7812", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-heart/blood-vessels", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-heart/blood-vessels", "translated_standalone_title": "Blood Vessels", "translated_title": "Blood vessels", "gplus_url": "", "id": "xb9efce3a", "old_key_name": "Rsw1eYo9h1dTjmvk1GdmvIeK7Z6-XLbzUcIp3ghU", "hide": false, "title": "Blood vessels", "child_data": [{"kind": "Video", "id": 23990}, {"kind": "Video", "id": 1036157588}, {"kind": "Video", "id": 1036278079}, {"kind": "Video", "id": "x7ac317cf"}, {"kind": "Video", "id": "x6451892a"}, {"kind": "Video", "id": "x02c66e8b"}], "children": [{"translated_youtube_id": "QhiVnFvshZg", "relative_url": "/video/circulatory-system-and-the-heart", "has_questions": false, "keywords": "heart, blood, vein, artery, pulmonary, atrium, ventricle", "ka_url": "http://www.khanacademy.org/video/circulatory-system-and-the-heart", "duration": 897, "translated_title": "Circulatory system and the heart", "translated_description_html": "Introduction to the circulatory system and the heart", "id": "23990", "description_html": "Introduction to the circulatory system and the heart", "title": "Circulatory system and the heart", "progress_key": "v23990", "edit_slug": "edit/v/23990", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the circulatory system and the heart", "extra_properties": null, "node_slug": "v/circulatory-system-and-the-heart", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.mp4/QhiVnFvshZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.mp4/QhiVnFvshZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QhiVnFvshZg.m3u8/QhiVnFvshZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QhiVnFvshZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23990", "sha": "d6483ee6ad4bbd4b840674127723f3f168920f4c", "translated_description": "Introduction to the circulatory system and the heart", "image_url": "https://img.youtube.com/vi/QhiVnFvshZg/hqdefault.jpg", "youtube_id": "QhiVnFvshZg", "content_kind": "Video", "readable_id": "circulatory-system-and-the-heart"}, {"translated_youtube_id": "7b6LRebCgb4", "relative_url": "/video/arteries-vs--veins---what-s-the-difference", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteries-vs--veins---what-s-the-difference", "duration": 669, "translated_title": "Arteries vs. veins - what's the difference?", "translated_description_html": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036157588", "description_html": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arteries vs. veins - what's the difference?", "progress_key": "v1036157588", "edit_slug": "edit/v/1036157588", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arteries-vs--veins---what-s-the-difference", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:08:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.mp4/7b6LRebCgb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.mp4/7b6LRebCgb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.m3u8/7b6LRebCgb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7b6LRebCgb4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036157588", "sha": "595d77aab17e8acb9c8d7e46affd3924b6bd0050", "translated_description": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7b6LRebCgb4/hqdefault.jpg", "youtube_id": "7b6LRebCgb4", "content_kind": "Video", "readable_id": "arteries-vs--veins---what-s-the-difference"}, {"translated_youtube_id": "VMwa6yC3r-s", "relative_url": "/video/layers-of-a-blood-vessel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/layers-of-a-blood-vessel", "duration": 611, "translated_title": "Layers of a blood vessel", "translated_description_html": "Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036278079", "description_html": "Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Layers of a blood vessel", "progress_key": "v1036278079", "edit_slug": "edit/v/1036278079", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/layers-of-a-blood-vessel", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:08:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VMwa6yC3r-s.mp4/VMwa6yC3r-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VMwa6yC3r-s.mp4/VMwa6yC3r-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VMwa6yC3r-s.m3u8/VMwa6yC3r-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VMwa6yC3r-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036278079", "sha": "3d8bb871360a3720e092231912498591568f04a6", "translated_description": "Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/VMwa6yC3r-s/hqdefault.jpg", "youtube_id": "VMwa6yC3r-s", "content_kind": "Video", "readable_id": "layers-of-a-blood-vessel"}, {"translated_youtube_id": "iqRTd1NY-pU", "relative_url": "/video/arteries--arterioles--venules--and-veins", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteries--arterioles--venules--and-veins", "duration": 463, "translated_title": "Arteries, arterioles, venules, and veins", "translated_description_html": "Learn the differences between these blood vessels! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x7ac317cf", "description_html": "Learn the differences between these blood vessels! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Arteries, arterioles, venules, and veins", "progress_key": "vx7ac317cf", "edit_slug": "edit/v/x7ac317cf", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the differences between these blood vessels! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/arteries--arterioles--venules--and-veins", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-20T23:39:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iqRTd1NY-pU.mp4/iqRTd1NY-pU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iqRTd1NY-pU.mp4/iqRTd1NY-pU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iqRTd1NY-pU.m3u8/iqRTd1NY-pU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iqRTd1NY-pU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7ac317cf", "sha": "a6fcbb9a4a6b1a5ad344d7f74f57264acc1c1090", "translated_description": "Learn the differences between these blood vessels! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/iqRTd1NY-pU/hqdefault.jpg", "youtube_id": "iqRTd1NY-pU", "content_kind": "Video", "readable_id": "arteries--arterioles--venules--and-veins"}, {"translated_youtube_id": "hSkIG4MdKqU", "relative_url": "/video/three-types-of-capillaries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/three-types-of-capillaries", "duration": 557, "translated_title": "Three types of capillaries", "translated_description_html": "Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x6451892a", "description_html": "Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Three types of capillaries", "progress_key": "vx6451892a", "edit_slug": "edit/v/x6451892a", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/three-types-of-capillaries", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-20T23:40:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hSkIG4MdKqU.mp4/hSkIG4MdKqU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hSkIG4MdKqU.mp4/hSkIG4MdKqU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hSkIG4MdKqU.m3u8/hSkIG4MdKqU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hSkIG4MdKqU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6451892a", "sha": "a2910159898ae12e5cc33fbf7c9c6bd8cc858a7e", "translated_description": "Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/hSkIG4MdKqU/hqdefault.jpg", "youtube_id": "hSkIG4MdKqU", "content_kind": "Video", "readable_id": "three-types-of-capillaries"}, {"translated_youtube_id": "yeX0uDpPBj4", "relative_url": "/video/pre-capillary-sphincters", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pre-capillary-sphincters", "duration": 260, "translated_title": "Pre-capillary sphincters", "translated_description_html": "Find out how the body controls how much blood flows through a capillary bed. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x02c66e8b", "description_html": "Find out how the body controls how much blood flows through a capillary bed. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Pre-capillary sphincters", "progress_key": "vx02c66e8b", "edit_slug": "edit/v/x02c66e8b", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how the body controls how much blood flows through a capillary bed. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/pre-capillary-sphincters", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-20T23:40:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yeX0uDpPBj4.mp4/yeX0uDpPBj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yeX0uDpPBj4.mp4/yeX0uDpPBj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yeX0uDpPBj4.m3u8/yeX0uDpPBj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yeX0uDpPBj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx02c66e8b", "sha": "e600d0ee6fdd039ed6578b1cc6bb3c51ce5cb6fe", "translated_description": "Find out how the body controls how much blood flows through a capillary bed. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/yeX0uDpPBj4/hqdefault.jpg", "youtube_id": "yeX0uDpPBj4", "content_kind": "Video", "readable_id": "pre-capillary-sphincters"}], "twitter_url": "", "translated_description": "Where does your blood go after it leaves the heart? Your body has a fantastic pipeline system that moves your blood around to drop off oxygen and food to those hungry cells, and removes cell waste. Learn how arteries carry blood away from the heart, how veins bring blood back to the heart, and about the different layers of cells that make up these blood vessels.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Where does your blood go after it leaves the heart? Your body has a fantastic pipeline system that moves your blood around to drop off oxygen and food to those hungry cells, and removes cell waste. Learn how arteries carry blood away from the heart, how veins bring blood back to the heart, and about the different layers of cells that make up these blood vessels.", "x_pos": 0.0, "node_slug": "blood-vessels", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb9efce3a", "topic_page_url": "/science/healthcare-and-medicine/the-heart/blood-vessels", "extended_slug": "science/healthcare-and-medicine/the-heart/blood-vessels", "slug": "blood-vessels", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "bba4ace9ce72d9df4c6f5558af7f48a1f9879b25", "standalone_title": "Blood Vessels", "y_pos": 0.0, "current_revision_key": "bba4ace9ce72d9df4c6f5558af7f48a1f9879b25", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-heart/blood_pressure", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-heart/blood_pressure", "translated_standalone_title": "Blood Pressure", "translated_title": "Blood pressure", "gplus_url": "", "id": "x27b3f6ab", "old_key_name": "5jM3kJy3PFQITQt7uT3D0FJDPXSQFdx7Mc9-Ey6t", "hide": false, "title": "Blood pressure", "child_data": [{"kind": "Video", "id": 1035877811}, {"kind": "Video", "id": 1036248186}, {"kind": "Video", "id": 1036250178}, {"kind": "Video", "id": 1036040971}, {"kind": "Video", "id": 1036034566}, {"kind": "Video", "id": 1192925086}, {"kind": "Video", "id": 1036166642}, {"kind": "Video", "id": 1036127574}], "children": [{"translated_youtube_id": "J97G6BeYW0I", "relative_url": "/video/what-is-blood-pressure-1", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-blood-pressure-1", "duration": 381, "translated_title": "What is blood pressure?", "translated_description_html": "Find out what a systolic and diastolic blood pressure mean. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1035877811", "description_html": "Find out what a systolic and diastolic blood pressure mean. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is blood pressure?", "progress_key": "v1035877811", "edit_slug": "edit/v/1035877811", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out what a systolic and diastolic blood pressure mean. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-blood-pressure-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T20:59:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J97G6BeYW0I.mp4/J97G6BeYW0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J97G6BeYW0I.mp4/J97G6BeYW0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J97G6BeYW0I.m3u8/J97G6BeYW0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J97G6BeYW0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1035877811", "sha": "7e9654568a50ce6135be146dfe598e163bf4b518", "translated_description": "Find out what a systolic and diastolic blood pressure mean. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/J97G6BeYW0I/hqdefault.jpg", "youtube_id": "J97G6BeYW0I", "content_kind": "Video", "readable_id": "what-is-blood-pressure-1"}, {"translated_youtube_id": "A8xO92u0VFs", "relative_url": "/video/learn-how-a-stethoscope-can-help-determine-blood-pressure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/learn-how-a-stethoscope-can-help-determine-blood-pressure", "duration": 327, "translated_title": "Learn how a stethoscope can help determine blood pressure", "translated_description_html": "Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036248186", "description_html": "Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Learn how a stethoscope can help determine blood pressure", "progress_key": "v1036248186", "edit_slug": "edit/v/1036248186", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/learn-how-a-stethoscope-can-help-determine-blood-pressure", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:01:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.mp4/A8xO92u0VFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.mp4/A8xO92u0VFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.m3u8/A8xO92u0VFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A8xO92u0VFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036248186", "sha": "e894c9bcd6dadf99ba0d98913ebb9445cb9d44ea", "translated_description": "Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/A8xO92u0VFs/hqdefault.jpg", "youtube_id": "A8xO92u0VFs", "content_kind": "Video", "readable_id": "learn-how-a-stethoscope-can-help-determine-blood-pressure"}, {"translated_youtube_id": "8X7yEzgurP8", "relative_url": "/video/resistance-in-a-tube", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/resistance-in-a-tube", "duration": 534, "translated_title": "Resistance in a tube", "translated_description_html": "Learn how the size of a tube (it's radius) is related to its resistance to something flowing through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036250178", "description_html": "Learn how the size of a tube (it's radius) is related to its resistance to something flowing through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Resistance in a tube", "progress_key": "v1036250178", "edit_slug": "edit/v/1036250178", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how the size of a tube (it's radius) is related to its resistance to something flowing through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/resistance-in-a-tube", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:02:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.mp4/8X7yEzgurP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.mp4/8X7yEzgurP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.m3u8/8X7yEzgurP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8X7yEzgurP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036250178", "sha": "0c3fb530abe7c6e01d0c19351af4b46796238a30", "translated_description": "Learn how the size of a tube (it's radius) is related to its resistance to something flowing through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/8X7yEzgurP8/hqdefault.jpg", "youtube_id": "8X7yEzgurP8", "content_kind": "Video", "readable_id": "resistance-in-a-tube"}, {"translated_youtube_id": "E-q9JpkGc-8", "relative_url": "/video/adding-up-resistance-in-series-and-in-parallel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-up-resistance-in-series-and-in-parallel", "duration": 633, "translated_title": "Adding up resistance in series and in parallel", "translated_description_html": "Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036040971", "description_html": "Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Adding up resistance in series and in parallel", "progress_key": "v1036040971", "edit_slug": "edit/v/1036040971", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/adding-up-resistance-in-series-and-in-parallel", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:02:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E-q9JpkGc-8.mp4/E-q9JpkGc-8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E-q9JpkGc-8.mp4/E-q9JpkGc-8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E-q9JpkGc-8.m3u8/E-q9JpkGc-8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E-q9JpkGc-8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036040971", "sha": "7992a80410b827f3f879fb78cc85f1c8ecc12496", "translated_description": "Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/E-q9JpkGc-8/hqdefault.jpg", "youtube_id": "E-q9JpkGc-8", "content_kind": "Video", "readable_id": "adding-up-resistance-in-series-and-in-parallel"}, {"translated_youtube_id": "5lXw5_4R2B4", "relative_url": "/video/adding-up-resistance-problem", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adding-up-resistance-problem", "duration": 203, "translated_title": "Adding up resistance problem", "translated_description_html": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036034566", "description_html": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Adding up resistance problem", "progress_key": "v1036034566", "edit_slug": "edit/v/1036034566", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/adding-up-resistance-problem", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:03:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.m3u8/5lXw5_4R2B4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5lXw5_4R2B4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036034566", "sha": "7f7d769fb460151cff54310511352e9a54da2fc8", "translated_description": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/5lXw5_4R2B4/hqdefault.jpg", "youtube_id": "5lXw5_4R2B4", "content_kind": "Video", "readable_id": "adding-up-resistance-problem"}, {"translated_youtube_id": "ePwN6rHhNyU", "relative_url": "/video/flow-and-perfusion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flow-and-perfusion", "duration": 631, "translated_title": "Flow and perfusion", "translated_description_html": "Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1192925086", "description_html": "Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Flow and perfusion", "progress_key": "v1192925086", "edit_slug": "edit/v/1192925086", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/flow-and-perfusion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-03T14:58:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ePwN6rHhNyU.mp4/ePwN6rHhNyU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ePwN6rHhNyU.mp4/ePwN6rHhNyU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ePwN6rHhNyU.m3u8/ePwN6rHhNyU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ePwN6rHhNyU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1192925086", "sha": "1b9c69557fe28f7526a2da8101669d3e02299d4c", "translated_description": "Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/ePwN6rHhNyU/hqdefault.jpg", "youtube_id": "ePwN6rHhNyU", "content_kind": "Video", "readable_id": "flow-and-perfusion"}, {"translated_youtube_id": "F2uzWHppVrk", "relative_url": "/video/putting-it-all-together--pressure--flow--and-resistance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/putting-it-all-together--pressure--flow--and-resistance", "duration": 710, "translated_title": "Putting it all together: Pressure, flow, and resistance", "translated_description_html": "See how pressure, flow, and resistance relate to one another and how they each affect the human body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036166642", "description_html": "See how pressure, flow, and resistance relate to one another and how they each affect the human body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Putting it all together: Pressure, flow, and resistance", "progress_key": "v1036166642", "edit_slug": "edit/v/1036166642", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how pressure, flow, and resistance relate to one another and how they each affect the human body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/putting-it-all-together--pressure--flow--and-resistance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-13T21:03:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F2uzWHppVrk.mp4/F2uzWHppVrk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F2uzWHppVrk.mp4/F2uzWHppVrk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F2uzWHppVrk.m3u8/F2uzWHppVrk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F2uzWHppVrk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036166642", "sha": "047b1011d2e74e13e0ff419d49c9c0ff152624b4", "translated_description": "See how pressure, flow, and resistance relate to one another and how they each affect the human body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/F2uzWHppVrk/hqdefault.jpg", "youtube_id": "F2uzWHppVrk", "content_kind": "Video", "readable_id": "putting-it-all-together--pressure--flow--and-resistance"}, {"translated_youtube_id": "fy_muPF0390", "relative_url": "/video/blood-pressure-changes-over-time", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/blood-pressure-changes-over-time", "duration": 685, "translated_title": "Blood pressure changes over time", "translated_description_html": "See how increasing resistance in the blood vessels can cause blood pressure to rise over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036127574", "description_html": "See how increasing resistance in the blood vessels can cause blood pressure to rise over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Blood pressure changes over time", "progress_key": "v1036127574", "edit_slug": "edit/v/1036127574", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how increasing resistance in the blood vessels can cause blood pressure to rise over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/blood-pressure-changes-over-time", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:04:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fy_muPF0390.mp4/fy_muPF0390.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fy_muPF0390.mp4/fy_muPF0390.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fy_muPF0390.m3u8/fy_muPF0390.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fy_muPF0390&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036127574", "sha": "b23b59cf0fb0b2854c22daf83fed024dee258d44", "translated_description": "See how increasing resistance in the blood vessels can cause blood pressure to rise over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/fy_muPF0390/hqdefault.jpg", "youtube_id": "fy_muPF0390", "content_kind": "Video", "readable_id": "blood-pressure-changes-over-time"}], "twitter_url": "", "translated_description": "Using the stethoscope to check blood pressure is a technique that’s been used for >100 years! Blood pressure is one of the major vital signs frequently measured by health care workers, and it tells us a lot about our blood circulation. Learn what blood pressure is, how it relates to resistance in a tube, why it is necessary to get oxygen to your cells, and how it can change as you age. We’ll finally put it all together by relating pressure, flow, and resistance in one awesome equation!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using the stethoscope to check blood pressure is a technique that’s been used for >100 years! Blood pressure is one of the major vital signs frequently measured by health care workers, and it tells us a lot about our blood circulation. Learn what blood pressure is, how it relates to resistance in a tube, why it is necessary to get oxygen to your cells, and how it can change as you age. We’ll finally put it all together by relating pressure, flow, and resistance in one awesome equation!", "x_pos": 0.0, "node_slug": "blood_pressure", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax27b3f6ab", "topic_page_url": "/science/healthcare-and-medicine/the-heart/blood_pressure", "extended_slug": "science/healthcare-and-medicine/the-heart/blood_pressure", "slug": "blood_pressure", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "89a63b62e084b23dbb11edea712846bf5b755e29", "standalone_title": "Blood Pressure", "y_pos": 0.0, "current_revision_key": "89a63b62e084b23dbb11edea712846bf5b755e29", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-heart/blood_pressure_control", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-heart/blood_pressure_control", "translated_standalone_title": "Blood Pressure Control", "translated_title": "Blood pressure control", "gplus_url": "", "id": "x9c98f570", "old_key_name": "ESqZhh1Ubeh1K-bgFmMfSZgtaLKilzxq6lBESksQ", "hide": false, "title": "Blood pressure control", "child_data": [{"kind": "Video", "id": 1036230273}, {"kind": "Video", "id": 1036126972}, {"kind": "Video", "id": 1047183569}, {"kind": "Video", "id": 1047335429}, {"kind": "Video", "id": 1047465049}, {"kind": "Video", "id": 1047330622}, {"kind": "Video", "id": 1047114997}, {"kind": "Video", "id": 1047406243}, {"kind": "Video", "id": 1047456036}, {"kind": "Video", "id": 1047327652}, {"kind": "Video", "id": 1058371798}], "children": [{"translated_youtube_id": "ajLgwCygHsc", "relative_url": "/video/regulation-of-blood-pressure-with-baroreceptors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/regulation-of-blood-pressure-with-baroreceptors", "duration": 729, "translated_title": "Regulation of blood pressure with baroreceptors", "translated_description_html": "Learn about how the arteries use nerve impulses to help regulate blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036230273", "description_html": "Learn about how the arteries use nerve impulses to help regulate blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Regulation of blood pressure with baroreceptors", "progress_key": "v1036230273", "edit_slug": "edit/v/1036230273", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about how the arteries use nerve impulses to help regulate blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/regulation-of-blood-pressure-with-baroreceptors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ajLgwCygHsc.mp4/ajLgwCygHsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ajLgwCygHsc.mp4/ajLgwCygHsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ajLgwCygHsc.m3u8/ajLgwCygHsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ajLgwCygHsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036230273", "sha": "71b7ae9accb6341b9eb217911f4ebf730b18a265", "translated_description": "Learn about how the arteries use nerve impulses to help regulate blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/ajLgwCygHsc/hqdefault.jpg", "youtube_id": "ajLgwCygHsc", "content_kind": "Video", "readable_id": "regulation-of-blood-pressure-with-baroreceptors"}, {"translated_youtube_id": "_vBJkK4eocA", "relative_url": "/video/parts-of-a-nephron", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parts-of-a-nephron", "duration": 549, "translated_title": "Parts of a nephron", "translated_description_html": "Learn about the 5 major parts of the kidney's nephron. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036126972", "description_html": "Learn about the 5 major parts of the kidney's nephron. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Parts of a nephron", "progress_key": "v1036126972", "edit_slug": "edit/v/1036126972", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about the 5 major parts of the kidney's nephron. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/parts-of-a-nephron", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:12:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.mp4/_vBJkK4eocA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.mp4/_vBJkK4eocA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.m3u8/_vBJkK4eocA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_vBJkK4eocA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036126972", "sha": "d3683b88c26ce7e8b0ea0a0bb9bb86cd62447145", "translated_description": "Learn about the 5 major parts of the kidney's nephron. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/_vBJkK4eocA/hqdefault.jpg", "youtube_id": "_vBJkK4eocA", "content_kind": "Video", "readable_id": "parts-of-a-nephron"}, {"translated_youtube_id": "BVUeCLt68Ik", "relative_url": "/video/general-overview-of-the-raas-system---cells-and-hormones", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/general-overview-of-the-raas-system---cells-and-hormones", "duration": 849, "translated_title": "General overview of the RAAS system: Cells and hormones", "translated_description_html": "Learn the important cells and hormones that are working together to control your blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047183569", "description_html": "Learn the important cells and hormones that are working together to control your blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "General overview of the RAAS system: Cells and hormones", "progress_key": "v1047183569", "edit_slug": "edit/v/1047183569", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn the important cells and hormones that are working together to control your blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/general-overview-of-the-raas-system---cells-and-hormones", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-20T18:43:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BVUeCLt68Ik.mp4/BVUeCLt68Ik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BVUeCLt68Ik.mp4/BVUeCLt68Ik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BVUeCLt68Ik.m3u8/BVUeCLt68Ik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BVUeCLt68Ik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047183569", "sha": "188e46901fb7cb73b9ffffa8423825a60d12741a", "translated_description": "Learn the important cells and hormones that are working together to control your blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/BVUeCLt68Ik/hqdefault.jpg", "youtube_id": "BVUeCLt68Ik", "content_kind": "Video", "readable_id": "general-overview-of-the-raas-system---cells-and-hormones"}, {"translated_youtube_id": "AtlhAhONHyM", "relative_url": "/video/renin-production-in-the-kidneys", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/renin-production-in-the-kidneys", "duration": 849, "translated_title": "Renin production in the kidneys", "translated_description_html": "Learn the three major triggers for Renin production by the Juxtaglomerular cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047335429", "description_html": "Learn the three major triggers for Renin production by the Juxtaglomerular cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Renin production in the kidneys", "progress_key": "v1047335429", "edit_slug": "edit/v/1047335429", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the three major triggers for Renin production by the Juxtaglomerular cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/renin-production-in-the-kidneys", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-09-20T18:42:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AtlhAhONHyM.mp4/AtlhAhONHyM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AtlhAhONHyM.mp4/AtlhAhONHyM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AtlhAhONHyM.m3u8/AtlhAhONHyM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AtlhAhONHyM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047335429", "sha": "cfd845a5f5034acdce929b211255ff5cfa708276", "translated_description": "Learn the three major triggers for Renin production by the Juxtaglomerular cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/AtlhAhONHyM/hqdefault.jpg", "youtube_id": "AtlhAhONHyM", "content_kind": "Video", "readable_id": "renin-production-in-the-kidneys"}, {"translated_youtube_id": "cUVS0AlRyw8", "relative_url": "/video/activating-angiotensin-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/activating-angiotensin-2", "duration": 620, "translated_title": "Activating angiotensin 2", "translated_description_html": "See how Renin and ACE work to cut Angiotensinogen down to size! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047465049", "description_html": "See how Renin and ACE work to cut Angiotensinogen down to size! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Activating angiotensin 2", "progress_key": "v1047465049", "edit_slug": "edit/v/1047465049", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how Renin and ACE work to cut Angiotensinogen down to size! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/activating-angiotensin-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-20T18:41:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cUVS0AlRyw8.mp4/cUVS0AlRyw8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cUVS0AlRyw8.mp4/cUVS0AlRyw8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cUVS0AlRyw8.m3u8/cUVS0AlRyw8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cUVS0AlRyw8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047465049", "sha": "4330982c31772a8b45dfef0d7ef998d37281f42d", "translated_description": "See how Renin and ACE work to cut Angiotensinogen down to size! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cUVS0AlRyw8/hqdefault.jpg", "youtube_id": "cUVS0AlRyw8", "content_kind": "Video", "readable_id": "activating-angiotensin-2"}, {"translated_youtube_id": "Oges5YqDLHY", "relative_url": "/video/angiotensin-2-raises-blood-pressure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/angiotensin-2-raises-blood-pressure", "duration": 640, "translated_title": "Angiotensin 2 raises blood pressure", "translated_description_html": "See how Angiotensin 2 effects 4 target \"organs\" to increase blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047330622", "description_html": "See how Angiotensin 2 effects 4 target \"organs\" to increase blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Angiotensin 2 raises blood pressure", "progress_key": "v1047330622", "edit_slug": "edit/v/1047330622", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how Angiotensin 2 effects 4 target \"organs\" to increase blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/angiotensin-2-raises-blood-pressure", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-20T18:40:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oges5YqDLHY.mp4/Oges5YqDLHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oges5YqDLHY.mp4/Oges5YqDLHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oges5YqDLHY.m3u8/Oges5YqDLHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oges5YqDLHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047330622", "sha": "2d09283036c270c380d90acf777077cb7000bd78", "translated_description": "See how Angiotensin 2 effects 4 target \"organs\" to increase blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Oges5YqDLHY/hqdefault.jpg", "youtube_id": "Oges5YqDLHY", "content_kind": "Video", "readable_id": "angiotensin-2-raises-blood-pressure"}, {"translated_youtube_id": "64_ZfIemRGM", "relative_url": "/video/aldosterone-raises-blood-pressure-and-lowers-potassium", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aldosterone-raises-blood-pressure-and-lowers-potassium", "duration": 798, "translated_title": "Aldosterone raises blood pressure and lowers potassium", "translated_description_html": "See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047114997", "description_html": "See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Aldosterone raises blood pressure and lowers potassium", "progress_key": "v1047114997", "edit_slug": "edit/v/1047114997", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/aldosterone-raises-blood-pressure-and-lowers-potassium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-20T18:39:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/64_ZfIemRGM.mp4/64_ZfIemRGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/64_ZfIemRGM.mp4/64_ZfIemRGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/64_ZfIemRGM.m3u8/64_ZfIemRGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=64_ZfIemRGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047114997", "sha": "e94dd5d2a103f36b060835b4be050df4a42d464e", "translated_description": "See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/64_ZfIemRGM/hqdefault.jpg", "youtube_id": "64_ZfIemRGM", "content_kind": "Video", "readable_id": "aldosterone-raises-blood-pressure-and-lowers-potassium"}, {"translated_youtube_id": "7HTy-6NLWGM", "relative_url": "/video/aldosterone-removes-acid-from-the-blood", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aldosterone-removes-acid-from-the-blood", "duration": 680, "translated_title": "Aldosterone removes acid from the blood", "translated_description_html": "See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047406243", "description_html": "See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Aldosterone removes acid from the blood", "progress_key": "v1047406243", "edit_slug": "edit/v/1047406243", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/aldosterone-removes-acid-from-the-blood", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-20T18:36:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7HTy-6NLWGM.mp4/7HTy-6NLWGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7HTy-6NLWGM.mp4/7HTy-6NLWGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7HTy-6NLWGM.m3u8/7HTy-6NLWGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7HTy-6NLWGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047406243", "sha": "5e3475eab893dd2021a06194e364c08f27ca7710", "translated_description": "See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7HTy-6NLWGM/hqdefault.jpg", "youtube_id": "7HTy-6NLWGM", "content_kind": "Video", "readable_id": "aldosterone-removes-acid-from-the-blood"}, {"translated_youtube_id": "8dQdfbE8kFU", "relative_url": "/video/adh-secretion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adh-secretion", "duration": 905, "translated_title": "ADH secretion", "translated_description_html": "Learn the key triggers for ADH secretion. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047456036", "description_html": "Learn the key triggers for ADH secretion. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "ADH secretion", "progress_key": "v1047456036", "edit_slug": "edit/v/1047456036", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the key triggers for ADH secretion. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/adh-secretion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-20T18:33:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.mp4/8dQdfbE8kFU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.mp4/8dQdfbE8kFU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.m3u8/8dQdfbE8kFU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8dQdfbE8kFU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047456036", "sha": "5e931d72fd280bc6ee1420bd2629099d0f6bfb47", "translated_description": "Learn the key triggers for ADH secretion. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/8dQdfbE8kFU/hqdefault.jpg", "youtube_id": "8dQdfbE8kFU", "content_kind": "Video", "readable_id": "adh-secretion"}, {"translated_youtube_id": "Ot1We4_EfRE", "relative_url": "/video/adh-effects-on-blood-pressure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adh-effects-on-blood-pressure", "duration": 573, "translated_title": "ADH effects on blood pressure", "translated_description_html": "See how ADH acts on blood vessels and the kidney to raise blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1047327652", "description_html": "See how ADH acts on blood vessels and the kidney to raise blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "ADH effects on blood pressure", "progress_key": "v1047327652", "edit_slug": "edit/v/1047327652", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how ADH acts on blood vessels and the kidney to raise blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/adh-effects-on-blood-pressure", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-20T18:32:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ot1We4_EfRE.mp4/Ot1We4_EfRE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ot1We4_EfRE.mp4/Ot1We4_EfRE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ot1We4_EfRE.m3u8/Ot1We4_EfRE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ot1We4_EfRE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1047327652", "sha": "30abb17d4afaf431af376157e049364ad0bbc380", "translated_description": "See how ADH acts on blood vessels and the kidney to raise blood pressure. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Ot1We4_EfRE/hqdefault.jpg", "youtube_id": "Ot1We4_EfRE", "content_kind": "Video", "readable_id": "adh-effects-on-blood-pressure"}, {"translated_youtube_id": "Z0XPMFL45oo", "relative_url": "/video/aldosterone-and-adh", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aldosterone-and-adh", "duration": 587, "translated_title": "Aldosterone and ADH", "translated_description_html": "Find out how Aldosterone and ADH cause changes in volume and osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058371798", "description_html": "Find out how Aldosterone and ADH cause changes in volume and osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Aldosterone and ADH", "progress_key": "v1058371798", "edit_slug": "edit/v/1058371798", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how Aldosterone and ADH cause changes in volume and osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/aldosterone-and-adh", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-27T18:22:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.mp4/Z0XPMFL45oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.mp4/Z0XPMFL45oo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.m3u8/Z0XPMFL45oo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z0XPMFL45oo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058371798", "sha": "31812b23a8c1a720516ec607d133408edfa800fd", "translated_description": "Find out how Aldosterone and ADH cause changes in volume and osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Z0XPMFL45oo/hqdefault.jpg", "youtube_id": "Z0XPMFL45oo", "content_kind": "Video", "readable_id": "aldosterone-and-adh"}], "twitter_url": "", "translated_description": "The human body enjoys stability. For example, if your blood pressure changes, the body puts a couple of brilliant systems into motion in order to respond and bring your blood pressure back to normal. There are some quick responses using nerves and some slower responses using hormones. The system using hormones is sometimes called the renin-angiotensin-aldosterone-system (RAAS), which is the main system in the body for controlling blood pressure. When your blood pressure drops too low or gets too high, your kidneys, liver, and pituitary gland (part of your brain) talk to each other to solve the problem. They do this without you even noticing! Learn how the body knows when the blood pressure has changed, and how hormones like angiotensin 2, aldosterone, and ADH help return blood pressure to back to normal.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The human body enjoys stability. For example, if your blood pressure changes, the body puts a couple of brilliant systems into motion in order to respond and bring your blood pressure back to normal. There are some quick responses using nerves and some slower responses using hormones. The system using hormones is sometimes called the renin-angiotensin-aldosterone-system (RAAS), which is the main system in the body for controlling blood pressure. When your blood pressure drops too low or gets too high, your kidneys, liver, and pituitary gland (part of your brain) talk to each other to solve the problem. They do this without you even noticing! Learn how the body knows when the blood pressure has changed, and how hormones like angiotensin 2, aldosterone, and ADH help return blood pressure to back to normal.", "x_pos": 0.0, "node_slug": "blood_pressure_control", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9c98f570", "topic_page_url": "/science/healthcare-and-medicine/the-heart/blood_pressure_control", "extended_slug": "science/healthcare-and-medicine/the-heart/blood_pressure_control", "slug": "blood_pressure_control", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9f356566009e86239a61c582c560cafd3bfb3f61", "standalone_title": "Blood Pressure Control", "y_pos": 0.0, "current_revision_key": "9f356566009e86239a61c582c560cafd3bfb3f61", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Your heart sits in the middle of your chest and pumps blood from about 4 weeks after conception until the day that you die. It never stops, and over your lifetime it will pump ~175 million liters of blood. To visualize that, imagine the amount of water that falls over Niagara falls in a few minutes. Remarkable! This little pump is the size of your clenched fist and in an adult can weigh about 300 grams. Watch these videos to learn more about how the heart works, blood flow in arteries and veins, and blood pressure.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Your heart sits in the middle of your chest and pumps blood from about 4 weeks after conception until the day that you die. It never stops, and over your lifetime it will pump ~175 million liters of blood. To visualize that, imagine the amount of water that falls over Niagara falls in a few minutes. Remarkable! This little pump is the size of your clenched fist and in an adult can weigh about 300 grams. Watch these videos to learn more about how the heart works, blood flow in arteries and veins, and blood pressure.", "x_pos": 0.0, "node_slug": "the-heart", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ab6bf15", "topic_page_url": "/science/healthcare-and-medicine/the-heart", "extended_slug": "science/healthcare-and-medicine/the-heart", "slug": "the-heart", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "58813f50b67b05c8fd287805bc7386c8955787f4", "standalone_title": "The Heart", "y_pos": 0.0, "current_revision_key": "58813f50b67b05c8fd287805bc7386c8955787f4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-lungs", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-lungs", "translated_standalone_title": "The Lungs", "translated_title": "The lungs", "gplus_url": "", "id": "xd590f813", "old_key_name": "d1AY3qyzV6xpXa6suRfKGQUFS_kEY21EVuB4iy8H", "hide": false, "title": "The lungs", "child_data": [{"kind": "Topic", "id": "xd544173e"}, {"kind": "Topic", "id": "x3f397449"}, {"kind": "Topic", "id": "x23de9609"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-lungs/lung_introduction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-lungs/lung_introduction", "translated_standalone_title": "Lung Introduction", "translated_title": "Lung introduction", "gplus_url": "", "id": "xd544173e", "old_key_name": "iZ5PD0doJoz6cIsrIHtCHRUjvwUs2olLh5D5DFCE", "hide": false, "title": "Lung introduction", "child_data": [{"kind": "Video", "id": 1150539313}, {"kind": "Video", "id": 1150475491}, {"kind": "Video", "id": 1159072701}, {"kind": "Video", "id": 1179650621}, {"kind": "Video", "id": 1179655597}, {"kind": "Video", "id": 23986}], "children": [{"translated_youtube_id": "qGiPZf7njqY", "relative_url": "/video/meet-the-lungs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/meet-the-lungs", "duration": 576, "translated_title": "Meet the lungs", "translated_description_html": "Every time you take a breath, oxygen makes it way into your lungs. Follow along on that journey! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150539313", "description_html": "Every time you take a breath, oxygen makes it way into your lungs. Follow along on that journey! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Meet the lungs", "progress_key": "v1150539313", "edit_slug": "edit/v/1150539313", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Every time you take a breath, oxygen makes it way into your lungs. Follow along on that journey! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/meet-the-lungs", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-15T19:26:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qGiPZf7njqY.mp4/qGiPZf7njqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qGiPZf7njqY.mp4/qGiPZf7njqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qGiPZf7njqY.m3u8/qGiPZf7njqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qGiPZf7njqY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150539313", "sha": "a4e6a38ad469580235a98ecfe08c8ded5a50bd8e", "translated_description": "Every time you take a breath, oxygen makes it way into your lungs. Follow along on that journey! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/qGiPZf7njqY/hqdefault.jpg", "youtube_id": "qGiPZf7njqY", "content_kind": "Video", "readable_id": "meet-the-lungs"}, {"translated_youtube_id": "lzWUG4H5QBo", "relative_url": "/video/people-and-plants", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/people-and-plants", "duration": 570, "translated_title": "People and plants", "translated_description_html": "Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150475491", "description_html": "Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "People and plants", "progress_key": "v1150475491", "edit_slug": "edit/v/1150475491", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/people-and-plants", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-15T19:26:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.mp4/lzWUG4H5QBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.mp4/lzWUG4H5QBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.m3u8/lzWUG4H5QBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lzWUG4H5QBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150475491", "sha": "7e6e8ffa402766909fe8d014ca82474202991c7b", "translated_description": "Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/lzWUG4H5QBo/hqdefault.jpg", "youtube_id": "lzWUG4H5QBo", "content_kind": "Video", "readable_id": "people-and-plants"}, {"translated_youtube_id": "Z-yv3Yq4Aw4", "relative_url": "/video/the-bronchial-tree", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-bronchial-tree", "duration": 767, "translated_title": "The bronchial tree", "translated_description_html": "Follow the path of an oxygen molecule as it makes its way from your mouth down to an alveolus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1159072701", "description_html": "Follow the path of an oxygen molecule as it makes its way from your mouth down to an alveolus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "The bronchial tree", "progress_key": "v1159072701", "edit_slug": "edit/v/1159072701", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Follow the path of an oxygen molecule as it makes its way from your mouth down to an alveolus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/the-bronchial-tree", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T14:58:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z-yv3Yq4Aw4.mp4/Z-yv3Yq4Aw4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z-yv3Yq4Aw4.mp4/Z-yv3Yq4Aw4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z-yv3Yq4Aw4.m3u8/Z-yv3Yq4Aw4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z-yv3Yq4Aw4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159072701", "sha": "637faf1a82a876a2168a05e81a594423750f78e0", "translated_description": "Follow the path of an oxygen molecule as it makes its way from your mouth down to an alveolus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Z-yv3Yq4Aw4/hqdefault.jpg", "youtube_id": "Z-yv3Yq4Aw4", "content_kind": "Video", "readable_id": "the-bronchial-tree"}, {"translated_youtube_id": "mykrnTh1tz8", "relative_url": "/video/inhaling-and-exhaling", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inhaling-and-exhaling", "duration": 779, "translated_title": "Inhaling and exhaling", "translated_description_html": "Find out exactly why air goes in and out of the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179650621", "description_html": "Find out exactly why air goes in and out of the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Inhaling and exhaling", "progress_key": "v1179650621", "edit_slug": "edit/v/1179650621", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out exactly why air goes in and out of the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/inhaling-and-exhaling", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-28T16:41:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mykrnTh1tz8.mp4/mykrnTh1tz8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mykrnTh1tz8.mp4/mykrnTh1tz8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mykrnTh1tz8.m3u8/mykrnTh1tz8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mykrnTh1tz8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179650621", "sha": "ed02ffc27a039bedfbba1da0108ac463df0e31f8", "translated_description": "Find out exactly why air goes in and out of the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/mykrnTh1tz8/hqdefault.jpg", "youtube_id": "mykrnTh1tz8", "content_kind": "Video", "readable_id": "inhaling-and-exhaling"}, {"translated_youtube_id": "dTsUyXXudvA", "relative_url": "/video/how-does-lung-volume-change", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-does-lung-volume-change", "duration": 490, "translated_title": "How does lung volume change?", "translated_description_html": "Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179655597", "description_html": "Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "How does lung volume change?", "progress_key": "v1179655597", "edit_slug": "edit/v/1179655597", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/how-does-lung-volume-change", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-28T16:42:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dTsUyXXudvA.mp4/dTsUyXXudvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dTsUyXXudvA.mp4/dTsUyXXudvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dTsUyXXudvA.m3u8/dTsUyXXudvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dTsUyXXudvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179655597", "sha": "8d88aa541c984b06da80ec6bc4435d07c7dd6e37", "translated_description": "Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/dTsUyXXudvA/hqdefault.jpg", "youtube_id": "dTsUyXXudvA", "content_kind": "Video", "readable_id": "how-does-lung-volume-change"}, {"translated_youtube_id": "SPGRkexI_cs", "relative_url": "/video/the-lungs-and-pulmonary-system", "has_questions": false, "keywords": "pulmonary, lungs, larynx, trachea, bronchi, bronchioles, alveoli, diaphragm", "ka_url": "http://www.khanacademy.org/video/the-lungs-and-pulmonary-system", "duration": 1233, "translated_title": "The lungs and pulmonary system", "translated_description_html": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "id": "23986", "description_html": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "title": "The lungs and pulmonary system", "progress_key": "v23986", "edit_slug": "edit/v/23986", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "extra_properties": null, "node_slug": "v/the-lungs-and-pulmonary-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.mp4/SPGRkexI_cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.mp4/SPGRkexI_cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SPGRkexI_cs.m3u8/SPGRkexI_cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SPGRkexI_cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23986", "sha": "16a41000e0bb98af894189ee1163781b4466d622", "translated_description": "The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm", "image_url": "https://img.youtube.com/vi/SPGRkexI_cs/hqdefault.jpg", "youtube_id": "SPGRkexI_cs", "content_kind": "Video", "readable_id": "the-lungs-and-pulmonary-system"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "lung_introduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd544173e", "topic_page_url": "/science/healthcare-and-medicine/the-lungs/lung_introduction", "extended_slug": "science/healthcare-and-medicine/the-lungs/lung_introduction", "slug": "lung_introduction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d653d0ae159a3823c374d34ca063a258a157e793", "standalone_title": "Lung Introduction", "y_pos": 0.0, "current_revision_key": "d653d0ae159a3823c374d34ca063a258a157e793", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-lungs/gas_exchange", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-lungs/gas_exchange", "translated_standalone_title": "Gas Exchange", "translated_title": "Gas exchange", "gplus_url": "", "id": "x3f397449", "old_key_name": "cnadVsLpPyHS6nokGmvxXOipnl70N-QAG9MP5Hn9", "hide": false, "title": "Gas exchange", "child_data": [{"kind": "Video", "id": "x8fbef923"}, {"kind": "Video", "id": "x074ad05b"}, {"kind": "Video", "id": "xeab45ce1"}, {"kind": "Video", "id": "x33409079"}, {"kind": "Video", "id": "x934cb9f8"}, {"kind": "Video", "id": "x0f010548"}, {"kind": "Video", "id": "x536c7d31"}], "children": [{"translated_youtube_id": "zZX9jJqSlQs", "relative_url": "/video/alveolar-gas-equation---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alveolar-gas-equation---part-1", "duration": 479, "translated_title": "Alveolar gas equation - part 1", "translated_description_html": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x8fbef923", "description_html": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Alveolar gas equation - part 1", "progress_key": "vx8fbef923", "edit_slug": "edit/v/x8fbef923", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/alveolar-gas-equation---part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-21T00:34:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zZX9jJqSlQs.mp4/zZX9jJqSlQs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zZX9jJqSlQs.mp4/zZX9jJqSlQs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zZX9jJqSlQs.m3u8/zZX9jJqSlQs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zZX9jJqSlQs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8fbef923", "sha": "a2ba4215a9fdc5dfef7d19c53d2df531b31f48f9", "translated_description": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/zZX9jJqSlQs/hqdefault.jpg", "youtube_id": "zZX9jJqSlQs", "content_kind": "Video", "readable_id": "alveolar-gas-equation---part-1"}, {"translated_youtube_id": "xH5Y3Kmx82w", "relative_url": "/video/alveolar-gas-equation---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alveolar-gas-equation---part-2", "duration": 426, "translated_title": "Alveolar gas equation - part 2", "translated_description_html": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x074ad05b", "description_html": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Alveolar gas equation - part 2", "progress_key": "vx074ad05b", "edit_slug": "edit/v/x074ad05b", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/alveolar-gas-equation---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-21T00:33:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xH5Y3Kmx82w.mp4/xH5Y3Kmx82w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xH5Y3Kmx82w.mp4/xH5Y3Kmx82w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xH5Y3Kmx82w.m3u8/xH5Y3Kmx82w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xH5Y3Kmx82w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx074ad05b", "sha": "ff70e75f904c4166e41de3c9edff1d3da9a9b6ab", "translated_description": "Find out how to calculate exactly how much oxygen is deep down inside your lungs! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/xH5Y3Kmx82w/hqdefault.jpg", "youtube_id": "xH5Y3Kmx82w", "content_kind": "Video", "readable_id": "alveolar-gas-equation---part-2"}, {"translated_youtube_id": "OCD4Dr3kmmA", "relative_url": "/video/o2-and-co2-solubility", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/o2-and-co2-solubility", "duration": 465, "translated_title": "O2 and CO2 solubility", "translated_description_html": "Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xeab45ce1", "description_html": "Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "O2 and CO2 solubility", "progress_key": "vxeab45ce1", "edit_slug": "edit/v/xeab45ce1", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/o2-and-co2-solubility", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-21T00:36:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCD4Dr3kmmA.mp4/OCD4Dr3kmmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OCD4Dr3kmmA.mp4/OCD4Dr3kmmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCD4Dr3kmmA.m3u8/OCD4Dr3kmmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OCD4Dr3kmmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeab45ce1", "sha": "cc463f66c5d965310b845ef99ebf629a897fa7e0", "translated_description": "Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/OCD4Dr3kmmA/hqdefault.jpg", "youtube_id": "OCD4Dr3kmmA", "content_kind": "Video", "readable_id": "o2-and-co2-solubility"}, {"translated_youtube_id": "Wiuat7KdMmA", "relative_url": "/video/henry-s-law", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/henry-s-law", "duration": 519, "translated_title": "Henry's law", "translated_description_html": "Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x33409079", "description_html": "Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Henry's law", "progress_key": "vx33409079", "edit_slug": "edit/v/x33409079", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/henry-s-law", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-21T00:36:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wiuat7KdMmA.mp4/Wiuat7KdMmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wiuat7KdMmA.mp4/Wiuat7KdMmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wiuat7KdMmA.m3u8/Wiuat7KdMmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wiuat7KdMmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx33409079", "sha": "b0586f33eba4149ef9f72f92c5086f5ad91c7853", "translated_description": "Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Wiuat7KdMmA/hqdefault.jpg", "youtube_id": "Wiuat7KdMmA", "content_kind": "Video", "readable_id": "henry-s-law"}, {"translated_youtube_id": "g6QuuoTs2Oo", "relative_url": "/video/graham-s-law-of-diffusion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/graham-s-law-of-diffusion", "duration": 537, "translated_title": "Graham's law of diffusion", "translated_description_html": "Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!). Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x934cb9f8", "description_html": "Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!). Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Graham's law of diffusion", "progress_key": "vx934cb9f8", "edit_slug": "edit/v/x934cb9f8", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!). Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/graham-s-law-of-diffusion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-21T00:36:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g6QuuoTs2Oo.mp4/g6QuuoTs2Oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g6QuuoTs2Oo.mp4/g6QuuoTs2Oo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g6QuuoTs2Oo.m3u8/g6QuuoTs2Oo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g6QuuoTs2Oo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx934cb9f8", "sha": "ca10c5bf217f61517e60fdd69efcbeae108c3270", "translated_description": "Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!). Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/g6QuuoTs2Oo/hqdefault.jpg", "youtube_id": "g6QuuoTs2Oo", "content_kind": "Video", "readable_id": "graham-s-law-of-diffusion"}, {"translated_youtube_id": "Cg4KlmI_acs", "relative_url": "/video/fick-s-law-of-diffusion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fick-s-law-of-diffusion", "duration": 742, "translated_title": "Fick's law of diffusion", "translated_description_html": "Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x0f010548", "description_html": "Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Fick's law of diffusion", "progress_key": "vx0f010548", "edit_slug": "edit/v/x0f010548", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/fick-s-law-of-diffusion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-21T00:37:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cg4KlmI_acs.mp4/Cg4KlmI_acs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cg4KlmI_acs.mp4/Cg4KlmI_acs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cg4KlmI_acs.m3u8/Cg4KlmI_acs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Cg4KlmI_acs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0f010548", "sha": "55922cdb30e7653acc0e01809bce7e1db222809e", "translated_description": "Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Cg4KlmI_acs/hqdefault.jpg", "youtube_id": "Cg4KlmI_acs", "content_kind": "Video", "readable_id": "fick-s-law-of-diffusion"}, {"translated_youtube_id": "nRpwdwm06Ic", "relative_url": "/video/oxygen-movement-from-alveoli-to-capillaries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxygen-movement-from-alveoli-to-capillaries", "duration": 706, "translated_title": "Oxygen movement from alveoli to capillaries", "translated_description_html": "Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x536c7d31", "description_html": "Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Oxygen movement from alveoli to capillaries", "progress_key": "vx536c7d31", "edit_slug": "edit/v/x536c7d31", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/oxygen-movement-from-alveoli-to-capillaries", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-21T00:37:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nRpwdwm06Ic.mp4/nRpwdwm06Ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nRpwdwm06Ic.mp4/nRpwdwm06Ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nRpwdwm06Ic.m3u8/nRpwdwm06Ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nRpwdwm06Ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx536c7d31", "sha": "710db7a4ec82bfd9d05b108fafe74d5e8bcf4b7f", "translated_description": "Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/nRpwdwm06Ic/hqdefault.jpg", "youtube_id": "nRpwdwm06Ic", "content_kind": "Video", "readable_id": "oxygen-movement-from-alveoli-to-capillaries"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "gas_exchange", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3f397449", "topic_page_url": "/science/healthcare-and-medicine/the-lungs/gas_exchange", "extended_slug": "science/healthcare-and-medicine/the-lungs/gas_exchange", "slug": "gas_exchange", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "df0a04947bcef72769c781887468174ebb3acb59", "standalone_title": "Gas Exchange", "y_pos": 0.0, "current_revision_key": "df0a04947bcef72769c781887468174ebb3acb59", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/the-lungs/breathing_control", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/the-lungs/breathing_control", "translated_standalone_title": "Breathing Control", "translated_title": "Breathing control", "gplus_url": "", "id": "x23de9609", "old_key_name": "KDG5Qa1jbgB1hEFLhXwFZ1eTMGo6_ErnbxeFm8dQ", "hide": false, "title": "Breathing control", "child_data": [{"kind": "Video", "id": "x8b9eb0eb"}, {"kind": "Video", "id": "x03a3321c"}, {"kind": "Video", "id": "x775cfe3b"}, {"kind": "Video", "id": "xb6078c7d"}], "children": [{"translated_youtube_id": "cJXY3Cywrnc", "relative_url": "/video/peripheral-chemoreceptors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/peripheral-chemoreceptors", "duration": 666, "translated_title": "Peripheral chemoreceptors", "translated_description_html": "Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x8b9eb0eb", "description_html": "Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Peripheral chemoreceptors", "progress_key": "vx8b9eb0eb", "edit_slug": "edit/v/x8b9eb0eb", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/peripheral-chemoreceptors", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-21T00:38:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cJXY3Cywrnc.mp4/cJXY3Cywrnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cJXY3Cywrnc.mp4/cJXY3Cywrnc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cJXY3Cywrnc.m3u8/cJXY3Cywrnc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cJXY3Cywrnc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8b9eb0eb", "sha": "01cf7f2daa8655899603079125df9af9738972ed", "translated_description": "Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/cJXY3Cywrnc/hqdefault.jpg", "youtube_id": "cJXY3Cywrnc", "content_kind": "Video", "readable_id": "peripheral-chemoreceptors"}, {"translated_youtube_id": "lVacrVMmJX8", "relative_url": "/video/central-chemoreceptors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/central-chemoreceptors", "duration": 464, "translated_title": "Central chemoreceptors", "translated_description_html": "Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x03a3321c", "description_html": "Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Central chemoreceptors", "progress_key": "vx03a3321c", "edit_slug": "edit/v/x03a3321c", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/central-chemoreceptors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-21T00:38:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lVacrVMmJX8.mp4/lVacrVMmJX8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lVacrVMmJX8.mp4/lVacrVMmJX8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lVacrVMmJX8.m3u8/lVacrVMmJX8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lVacrVMmJX8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03a3321c", "sha": "fc52b3d8df5472ca4c99fc021834158681033264", "translated_description": "Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/lVacrVMmJX8/hqdefault.jpg", "youtube_id": "lVacrVMmJX8", "content_kind": "Video", "readable_id": "central-chemoreceptors"}, {"translated_youtube_id": "_BFDgTci0ck", "relative_url": "/video/the-respiratory-center", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-respiratory-center", "duration": 563, "translated_title": "The respiratory center", "translated_description_html": "Find out how the respiratory center collects information from all over the body and then helps regulate your breathing. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x775cfe3b", "description_html": "Find out how the respiratory center collects information from all over the body and then helps regulate your breathing. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "The respiratory center", "progress_key": "vx775cfe3b", "edit_slug": "edit/v/x775cfe3b", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how the respiratory center collects information from all over the body and then helps regulate your breathing. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/the-respiratory-center", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-21T00:38:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_BFDgTci0ck.mp4/_BFDgTci0ck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_BFDgTci0ck.mp4/_BFDgTci0ck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_BFDgTci0ck.m3u8/_BFDgTci0ck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_BFDgTci0ck&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx775cfe3b", "sha": "0d730ceadcf15b7c8c00fac9792f2f64eb8cef62", "translated_description": "Find out how the respiratory center collects information from all over the body and then helps regulate your breathing. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/_BFDgTci0ck/hqdefault.jpg", "youtube_id": "_BFDgTci0ck", "content_kind": "Video", "readable_id": "the-respiratory-center"}, {"translated_youtube_id": "V2vR5_B6C5I", "relative_url": "/video/sneeze--cough--and-hiccup", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sneeze--cough--and-hiccup", "duration": 520, "translated_title": "Sneeze, cough, and hiccup", "translated_description_html": "Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xb6078c7d", "description_html": "Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Sneeze, cough, and hiccup", "progress_key": "vxb6078c7d", "edit_slug": "edit/v/xb6078c7d", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/sneeze--cough--and-hiccup", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-21T00:39:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V2vR5_B6C5I.mp4/V2vR5_B6C5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V2vR5_B6C5I.mp4/V2vR5_B6C5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V2vR5_B6C5I.m3u8/V2vR5_B6C5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V2vR5_B6C5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb6078c7d", "sha": "ece00928d7dfb5f026d5b8c2d3590c44df768ac0", "translated_description": "Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/V2vR5_B6C5I/hqdefault.jpg", "youtube_id": "V2vR5_B6C5I", "content_kind": "Video", "readable_id": "sneeze--cough--and-hiccup"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "breathing_control", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax23de9609", "topic_page_url": "/science/healthcare-and-medicine/the-lungs/breathing_control", "extended_slug": "science/healthcare-and-medicine/the-lungs/breathing_control", "slug": "breathing_control", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "86aa10d171e1c6ef0f7273aa6802f0fa22c5703b", "standalone_title": "Breathing Control", "y_pos": 0.0, "current_revision_key": "86aa10d171e1c6ef0f7273aa6802f0fa22c5703b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Get a better understanding of how your lungs help you to sing and survive!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Get a better understanding of how your lungs help you to sing and survive!", "x_pos": 0.0, "node_slug": "the-lungs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd590f813", "topic_page_url": "/science/healthcare-and-medicine/the-lungs", "extended_slug": "science/healthcare-and-medicine/the-lungs", "slug": "the-lungs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fc3a5d3fadcd9cf4af4f9d7d56ec09a63ec4bd8c", "standalone_title": "The Lungs", "y_pos": 0.0, "current_revision_key": "fc3a5d3fadcd9cf4af4f9d7d56ec09a63ec4bd8c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza", "translated_standalone_title": "Influenza", "translated_title": "Influenza", "gplus_url": "", "id": "x0b35bcd7", "old_key_name": "AZaMdF6tOEO6cJCH82_O5PYrgVpTL_jwDnWV8qLF", "hide": false, "title": "Influenza", "child_data": [{"kind": "Topic", "id": "xb86289b7"}, {"kind": "Topic", "id": "x0dc826cc"}, {"kind": "Topic", "id": "x54864062"}, {"kind": "Topic", "id": "x3184049a"}, {"kind": "Topic", "id": "x1fba33d2"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza/flu-symptoms", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza/flu-symptoms", "translated_standalone_title": "Flu Symptoms", "translated_title": "Influenza symptoms", "gplus_url": "", "id": "xb86289b7", "old_key_name": "bvEIepBqsyCKdF1_w6PpuvpDNttNdCHLxuioudb6", "hide": false, "title": "Influenza symptoms", "child_data": [{"kind": "Video", "id": 1297441428}, {"kind": "Video", "id": 1297348689}, {"kind": "Video", "id": 1297502187}], "children": [{"translated_youtube_id": "wiWRUuRDXvc", "relative_url": "/video/what-is-the-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-the-flu", "duration": 767, "translated_title": "What is the flu?", "translated_description_html": "Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297441428", "description_html": "Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "What is the flu?", "progress_key": "v1297441428", "edit_slug": "edit/v/1297441428", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/what-is-the-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:49:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wiWRUuRDXvc.mp4/wiWRUuRDXvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wiWRUuRDXvc.mp4/wiWRUuRDXvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wiWRUuRDXvc.m3u8/wiWRUuRDXvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wiWRUuRDXvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297441428", "sha": "1e4563b5dddc1862eaca88f73d3c92d05d59f742", "translated_description": "Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/wiWRUuRDXvc/hqdefault.jpg", "youtube_id": "wiWRUuRDXvc", "content_kind": "Video", "readable_id": "what-is-the-flu"}, {"translated_youtube_id": "6vy5CX6vK0I", "relative_url": "/video/catching-and-spreading-the-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/catching-and-spreading-the-flu", "duration": 653, "translated_title": "Catching and spreading the flu", "translated_description_html": "Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297348689", "description_html": "Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Catching and spreading the flu", "progress_key": "v1297348689", "edit_slug": "edit/v/1297348689", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/catching-and-spreading-the-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:50:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6vy5CX6vK0I.mp4/6vy5CX6vK0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6vy5CX6vK0I.mp4/6vy5CX6vK0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6vy5CX6vK0I.m3u8/6vy5CX6vK0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6vy5CX6vK0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297348689", "sha": "3e2f102f3735400b6f2f9b328b9f32597a63e5db", "translated_description": "Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/6vy5CX6vK0I/hqdefault.jpg", "youtube_id": "6vy5CX6vK0I", "content_kind": "Video", "readable_id": "catching-and-spreading-the-flu"}, {"translated_youtube_id": "5ui43_O0RVQ", "relative_url": "/video/flu-surveillance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-surveillance", "duration": 862, "translated_title": "Flu surveillance", "translated_description_html": "Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297502187", "description_html": "Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu surveillance", "progress_key": "v1297502187", "edit_slug": "edit/v/1297502187", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/flu-surveillance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:50:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ui43_O0RVQ.mp4/5ui43_O0RVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ui43_O0RVQ.mp4/5ui43_O0RVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ui43_O0RVQ.m3u8/5ui43_O0RVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ui43_O0RVQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297502187", "sha": "67d02edca0d63be6b35b02e6df3890cb5dee9ebb", "translated_description": "Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/5ui43_O0RVQ/hqdefault.jpg", "youtube_id": "5ui43_O0RVQ", "content_kind": "Video", "readable_id": "flu-surveillance"}], "twitter_url": "", "translated_description": "Getting the flu is awful! You get respiratory symptoms (Example: stuffy nose, sore throat, or cough) and constitutional symptoms (Example: fevers, chills, or body aches), and you’re usually in bed for 3-7 days. The flu virus spreads from person to person through tiny little droplets and is really common during the winter. Learn how we’re getting smart about tracking the flu, and how you can avoid getting sick…", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Getting the flu is awful! You get respiratory symptoms (Example: stuffy nose, sore throat, or cough) and constitutional symptoms (Example: fevers, chills, or body aches), and you’re usually in bed for 3-7 days. The flu virus spreads from person to person through tiny little droplets and is really common during the winter. Learn how we’re getting smart about tracking the flu, and how you can avoid getting sick…", "x_pos": 0.0, "node_slug": "flu-symptoms", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb86289b7", "topic_page_url": "/science/healthcare-and-medicine/influenza/flu-symptoms", "extended_slug": "science/healthcare-and-medicine/influenza/flu-symptoms", "slug": "flu-symptoms", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "46cc8be0ba07cdc43d5e4c114df17b402dd318d0", "standalone_title": "Flu Symptoms", "y_pos": 0.0, "current_revision_key": "46cc8be0ba07cdc43d5e4c114df17b402dd318d0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza/influenza-pathology", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza/influenza-pathology", "translated_standalone_title": "Influenza Pathology", "translated_title": "Influenza pathology", "gplus_url": "", "id": "x0dc826cc", "old_key_name": "OZcLWo3bSN1mhO-snxNEbvoXcBWYnrE4HVCVzgRr", "hide": false, "title": "Influenza pathology", "child_data": [{"kind": "Video", "id": 23950}, {"kind": "Video", "id": 1297459474}, {"kind": "Video", "id": 1297563079}, {"kind": "Video", "id": 1296964565}, {"kind": "Video", "id": 1297589033}, {"kind": "Video", "id": 1297443575}], "children": [{"translated_youtube_id": "0h5Jd7sgQWY", "relative_url": "/video/viruses", "has_questions": false, "keywords": "biology, virus, viruses", "ka_url": "http://www.khanacademy.org/video/viruses", "duration": 1397, "translated_title": "Viruses", "translated_description_html": "Introduction to viruses", "id": "23950", "description_html": "Introduction to viruses", "title": "Viruses", "progress_key": "v23950", "edit_slug": "edit/v/23950", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to viruses", "extra_properties": null, "node_slug": "v/viruses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.mp4/0h5Jd7sgQWY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.mp4/0h5Jd7sgQWY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0h5Jd7sgQWY.m3u8/0h5Jd7sgQWY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0h5Jd7sgQWY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23950", "sha": "cd8443d13d1706a88ec03a1fff26af1bb289404b", "translated_description": "Introduction to viruses", "image_url": "https://img.youtube.com/vi/0h5Jd7sgQWY/hqdefault.jpg", "youtube_id": "0h5Jd7sgQWY", "content_kind": "Video", "readable_id": "viruses"}, {"translated_youtube_id": "MNKXq7c3eQU", "relative_url": "/video/when-flu-viruses-attack", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/when-flu-viruses-attack", "duration": 433, "translated_title": "When flu viruses attack!", "translated_description_html": "Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297459474", "description_html": "Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "When flu viruses attack!", "progress_key": "v1297459474", "edit_slug": "edit/v/1297459474", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/when-flu-viruses-attack", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:52:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNKXq7c3eQU.mp4/MNKXq7c3eQU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNKXq7c3eQU.mp4/MNKXq7c3eQU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MNKXq7c3eQU.m3u8/MNKXq7c3eQU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MNKXq7c3eQU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297459474", "sha": "62ab96186eff4102794c7e21bca2679573527656", "translated_description": "Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/MNKXq7c3eQU/hqdefault.jpg", "youtube_id": "MNKXq7c3eQU", "content_kind": "Video", "readable_id": "when-flu-viruses-attack"}, {"translated_youtube_id": "XCdvo5fv-W0", "relative_url": "/video/three-types-of-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/three-types-of-flu", "duration": 496, "translated_title": "Three types of flu", "translated_description_html": "Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297563079", "description_html": "Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Three types of flu", "progress_key": "v1297563079", "edit_slug": "edit/v/1297563079", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/three-types-of-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:52:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XCdvo5fv-W0.mp4/XCdvo5fv-W0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XCdvo5fv-W0.mp4/XCdvo5fv-W0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XCdvo5fv-W0.m3u8/XCdvo5fv-W0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XCdvo5fv-W0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297563079", "sha": "338df72c477eb3290b73a6d6928a377a9f0bfa5a", "translated_description": "Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/XCdvo5fv-W0/hqdefault.jpg", "youtube_id": "XCdvo5fv-W0", "content_kind": "Video", "readable_id": "three-types-of-flu"}, {"translated_youtube_id": "nVbgByJNLOo", "relative_url": "/video/naming-the-flu--h---something--n---something", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/naming-the-flu--h---something--n---something", "duration": 594, "translated_title": "Naming the flu: H-something, N-something", "translated_description_html": "We've all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1296964565", "description_html": "We've all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Naming the flu: H-something, N-something", "progress_key": "v1296964565", "edit_slug": "edit/v/1296964565", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "We've all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/naming-the-flu--h---something--n---something", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:53:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nVbgByJNLOo.mp4/nVbgByJNLOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nVbgByJNLOo.mp4/nVbgByJNLOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nVbgByJNLOo.m3u8/nVbgByJNLOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nVbgByJNLOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1296964565", "sha": "59b02c3f599a69a491c8439f75718e254c4ef3ca", "translated_description": "We've all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/nVbgByJNLOo/hqdefault.jpg", "youtube_id": "nVbgByJNLOo", "content_kind": "Video", "readable_id": "naming-the-flu--h---something--n---something"}, {"translated_youtube_id": "-J--4Jc5FB0", "relative_url": "/video/genetic-shift-in-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/genetic-shift-in-flu", "duration": 462, "translated_title": "Genetic shift in flu", "translated_description_html": "Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297589033", "description_html": "Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Genetic shift in flu", "progress_key": "v1297589033", "edit_slug": "edit/v/1297589033", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/genetic-shift-in-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:53:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-J--4Jc5FB0.mp4/-J--4Jc5FB0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-J--4Jc5FB0.mp4/-J--4Jc5FB0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-J--4Jc5FB0.m3u8/-J--4Jc5FB0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-J--4Jc5FB0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297589033", "sha": "91dcb3aec1296f201d155328014327db65879820", "translated_description": "Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/-J--4Jc5FB0/hqdefault.jpg", "youtube_id": "-J--4Jc5FB0", "content_kind": "Video", "readable_id": "genetic-shift-in-flu"}, {"translated_youtube_id": "tjGGxA7AF9E", "relative_url": "/video/flu-shift-and-drift", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-shift-and-drift", "duration": 464, "translated_title": "Flu shift and drift", "translated_description_html": "Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1297443575", "description_html": "Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu shift and drift", "progress_key": "v1297443575", "edit_slug": "edit/v/1297443575", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/flu-shift-and-drift", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-16T16:54:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tjGGxA7AF9E.mp4/tjGGxA7AF9E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tjGGxA7AF9E.mp4/tjGGxA7AF9E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tjGGxA7AF9E.m3u8/tjGGxA7AF9E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tjGGxA7AF9E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1297443575", "sha": "dfc28973c2db2dbfc7448ffbb6975660b1d9ae60", "translated_description": "Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/tjGGxA7AF9E/hqdefault.jpg", "youtube_id": "tjGGxA7AF9E", "content_kind": "Video", "readable_id": "flu-shift-and-drift"}], "twitter_url": "", "translated_description": "The flu is caused and spread by a virus called influenza, which has proteins on its outer coat (think of a person wearing a jacket) called Hemagglutinin and Neuraminidase. The flu uses these proteins to enter and exit cells, and we actually name these proteins H and N (easy to remember) and number them to keep track of all the different types that we have found. The flu is a sneaky little bugger though, and can avoid our immune system by making subtle genetic mutations over time (drift) or shuffling up its genetic material completely (shift)!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The flu is caused and spread by a virus called influenza, which has proteins on its outer coat (think of a person wearing a jacket) called Hemagglutinin and Neuraminidase. The flu uses these proteins to enter and exit cells, and we actually name these proteins H and N (easy to remember) and number them to keep track of all the different types that we have found. The flu is a sneaky little bugger though, and can avoid our immune system by making subtle genetic mutations over time (drift) or shuffling up its genetic material completely (shift)!", "x_pos": 0.0, "node_slug": "influenza-pathology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0dc826cc", "topic_page_url": "/science/healthcare-and-medicine/influenza/influenza-pathology", "extended_slug": "science/healthcare-and-medicine/influenza/influenza-pathology", "slug": "influenza-pathology", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "01c5309e3007815410ae7b0a075f747ba5907769", "standalone_title": "Influenza Pathology", "y_pos": 0.0, "current_revision_key": "01c5309e3007815410ae7b0a075f747ba5907769", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza/influenza-diagnosis", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza/influenza-diagnosis", "translated_standalone_title": "Influenza Diagnosis", "translated_title": "Influenza diagnosis", "gplus_url": "", "id": "x54864062", "old_key_name": "zS53-SilYghijZ-V9tZ1y9pDyPFGrsFMKZ_H-Q7d", "hide": false, "title": "Influenza diagnosis", "child_data": [{"kind": "Video", "id": 1303681758}], "children": [{"translated_youtube_id": "f93KCgI4DGM", "relative_url": "/video/testing-for-the-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/testing-for-the-flu", "duration": 538, "translated_title": "Testing for the flu", "translated_description_html": "Learn when testing for influenza makes sense, and the most common test that is used. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1303681758", "description_html": "Learn when testing for influenza makes sense, and the most common test that is used. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Testing for the flu", "progress_key": "v1303681758", "edit_slug": "edit/v/1303681758", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn when testing for influenza makes sense, and the most common test that is used. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/testing-for-the-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T00:24:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f93KCgI4DGM.mp4/f93KCgI4DGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f93KCgI4DGM.mp4/f93KCgI4DGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f93KCgI4DGM.m3u8/f93KCgI4DGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f93KCgI4DGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1303681758", "sha": "959d586ea0bc8a8d2974007e47ca332e0d919d6f", "translated_description": "Learn when testing for influenza makes sense, and the most common test that is used. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/f93KCgI4DGM/hqdefault.jpg", "youtube_id": "f93KCgI4DGM", "content_kind": "Video", "readable_id": "testing-for-the-flu"}], "twitter_url": "", "translated_description": "Most of the time, we don’t test for the flu, but it can be useful. Rapid flu tests are done with a quick nose swab or wash, and can detect Type A or Type B Flu, but beware – like all tests, sometimes they make mistakes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most of the time, we don’t test for the flu, but it can be useful. Rapid flu tests are done with a quick nose swab or wash, and can detect Type A or Type B Flu, but beware – like all tests, sometimes they make mistakes.", "x_pos": 0.0, "node_slug": "influenza-diagnosis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54864062", "topic_page_url": "/science/healthcare-and-medicine/influenza/influenza-diagnosis", "extended_slug": "science/healthcare-and-medicine/influenza/influenza-diagnosis", "slug": "influenza-diagnosis", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "a9cdb990e01f5726668598bb8fa03d0b875e51f8", "standalone_title": "Influenza Diagnosis", "y_pos": 0.0, "current_revision_key": "a9cdb990e01f5726668598bb8fa03d0b875e51f8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza/influenza-prevention-and-treatme", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza/influenza-prevention-and-treatme", "translated_standalone_title": "Influenza Prevention and Treatment", "translated_title": "Influenza prevention and treatment", "gplus_url": "", "id": "x3184049a", "old_key_name": "aunqkXJWXWshf-FPB6sT5fRVLJdu9Mwb0mGOxDoe", "hide": false, "title": "Influenza prevention and treatment", "child_data": [{"kind": "Video", "id": 1303800013}, {"kind": "Video", "id": 1304013333}, {"kind": "Video", "id": 1303958606}, {"kind": "Video", "id": 1403730177}], "children": [{"translated_youtube_id": "Ma9YxZiBiRU", "relative_url": "/video/flu-vaccine-efficacy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-vaccine-efficacy", "duration": 587, "translated_title": "Flu vaccine efficacy", "translated_description_html": "Find out just how useful the flu vaccine actually is at preventing the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1303800013", "description_html": "Find out just how useful the flu vaccine actually is at preventing the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu vaccine efficacy", "progress_key": "v1303800013", "edit_slug": "edit/v/1303800013", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out just how useful the flu vaccine actually is at preventing the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/flu-vaccine-efficacy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T00:25:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ma9YxZiBiRU.mp4/Ma9YxZiBiRU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ma9YxZiBiRU.mp4/Ma9YxZiBiRU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ma9YxZiBiRU.m3u8/Ma9YxZiBiRU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ma9YxZiBiRU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1303800013", "sha": "8aa5eebde5f61cddf80ee9bd9488a0569b584970", "translated_description": "Find out just how useful the flu vaccine actually is at preventing the flu! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Ma9YxZiBiRU/hqdefault.jpg", "youtube_id": "Ma9YxZiBiRU", "content_kind": "Video", "readable_id": "flu-vaccine-efficacy"}, {"translated_youtube_id": "4mXv-Pa4CMM", "relative_url": "/video/two-flu-vaccines--tiv-and-laiv", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/two-flu-vaccines--tiv-and-laiv", "duration": 653, "translated_title": "Two flu vaccines (TIV and LAIV)", "translated_description_html": "Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1304013333", "description_html": "Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Two flu vaccines (TIV and LAIV)", "progress_key": "v1304013333", "edit_slug": "edit/v/1304013333", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/two-flu-vaccines--tiv-and-laiv", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T00:25:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mXv-Pa4CMM.mp4/4mXv-Pa4CMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4mXv-Pa4CMM.mp4/4mXv-Pa4CMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mXv-Pa4CMM.m3u8/4mXv-Pa4CMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4mXv-Pa4CMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1304013333", "sha": "6237fb01a2d969b1bc49a983739e8b90cba2ba54", "translated_description": "Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/4mXv-Pa4CMM/hqdefault.jpg", "youtube_id": "4mXv-Pa4CMM", "content_kind": "Video", "readable_id": "two-flu-vaccines--tiv-and-laiv"}, {"translated_youtube_id": "2h09oj26_H0", "relative_url": "/video/flu-vaccine-risks-and-benefits", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-vaccine-risks-and-benefits", "duration": 776, "translated_title": "Flu vaccine risks and benefits", "translated_description_html": "Learn about some of the common and uncommon risks and benefits associated with the flu vaccine! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1303958606", "description_html": "Learn about some of the common and uncommon risks and benefits associated with the flu vaccine! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu vaccine risks and benefits", "progress_key": "v1303958606", "edit_slug": "edit/v/1303958606", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn about some of the common and uncommon risks and benefits associated with the flu vaccine! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/flu-vaccine-risks-and-benefits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T00:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2h09oj26_H0.mp4/2h09oj26_H0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2h09oj26_H0.mp4/2h09oj26_H0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2h09oj26_H0.m3u8/2h09oj26_H0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2h09oj26_H0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1303958606", "sha": "4c37d50cf7ff434e896b957ee6602e0603efc864", "translated_description": "Learn about some of the common and uncommon risks and benefits associated with the flu vaccine! Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/2h09oj26_H0/hqdefault.jpg", "youtube_id": "2h09oj26_H0", "content_kind": "Video", "readable_id": "flu-vaccine-risks-and-benefits"}, {"translated_youtube_id": "NaZTlnDlnOA", "relative_url": "/video/antiviral-drugs-for-the-flu", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antiviral-drugs-for-the-flu", "duration": 829, "translated_title": "Antiviral drugs for the flu", "translated_description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1403730177", "description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Antiviral drugs for the flu", "progress_key": "v1403730177", "edit_slug": "edit/v/1403730177", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/antiviral-drugs-for-the-flu", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T00:17:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NaZTlnDlnOA.mp4/NaZTlnDlnOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NaZTlnDlnOA.mp4/NaZTlnDlnOA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NaZTlnDlnOA.m3u8/NaZTlnDlnOA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NaZTlnDlnOA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1403730177", "sha": "29bc8c31cb4369f6ae36312e90d55a0a0d9b9842", "translated_description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/NaZTlnDlnOA/hqdefault.jpg", "youtube_id": "NaZTlnDlnOA", "content_kind": "Video", "readable_id": "antiviral-drugs-for-the-flu"}], "twitter_url": "", "translated_description": "Want to avoid getting sick with the flu? If so, get a flu vaccine, it’s 60-70% effective! You have a couple of options: TIV (dead virus, injection) or LAIV (weak virus, spray). They can cause some side effects like a sore arm (TIV) or a runny nose (LAIV), but isn’t that better then lying in bed with a cough and fever for a week? Don’t worry though, if you do get really sick with the flu, we have some medications that can help.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Want to avoid getting sick with the flu? If so, get a flu vaccine, it’s 60-70% effective! You have a couple of options: TIV (dead virus, injection) or LAIV (weak virus, spray). They can cause some side effects like a sore arm (TIV) or a runny nose (LAIV), but isn’t that better then lying in bed with a cough and fever for a week? Don’t worry though, if you do get really sick with the flu, we have some medications that can help.", "x_pos": 0.0, "node_slug": "influenza-prevention-and-treatme", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3184049a", "topic_page_url": "/science/healthcare-and-medicine/influenza/influenza-prevention-and-treatme", "extended_slug": "science/healthcare-and-medicine/influenza/influenza-prevention-and-treatme", "slug": "influenza-prevention-and-treatme", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6ccbff9c3d76c81b826ae71ab45716c4e67e7ab3", "standalone_title": "Influenza Prevention and Treatment", "y_pos": 0.0, "current_revision_key": "6ccbff9c3d76c81b826ae71ab45716c4e67e7ab3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/influenza/influenza-special-topics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/influenza/influenza-special-topics", "translated_standalone_title": "Influenza Special Topics", "translated_title": "Influenza special topics", "gplus_url": "", "id": "x1fba33d2", "old_key_name": "2X6WcIkWil3imVvAf-BlaPDJSYIG9lQyC7tDUzo2", "hide": false, "title": "Influenza special topics", "child_data": [{"kind": "Video", "id": 1403719429}, {"kind": "Video", "id": 1303688729}, {"kind": "Video", "id": 1403742072}, {"kind": "Video", "id": 1403321001}], "children": [{"translated_youtube_id": "Xn29pt5159k", "relative_url": "/video/making-flu-vaccine-each-year", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-flu-vaccine-each-year", "duration": 557, "translated_title": "Making flu vaccine each year", "translated_description_html": "Learn about how the flu vaccine is made every year and how they name the strains that they put inside. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1403719429", "description_html": "Learn about how the flu vaccine is made every year and how they name the strains that they put inside. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Making flu vaccine each year", "progress_key": "v1403719429", "edit_slug": "edit/v/1403719429", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn about how the flu vaccine is made every year and how they name the strains that they put inside. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/making-flu-vaccine-each-year", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T00:15:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xn29pt5159k.mp4/Xn29pt5159k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xn29pt5159k.mp4/Xn29pt5159k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Xn29pt5159k.m3u8/Xn29pt5159k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Xn29pt5159k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1403719429", "sha": "b21d2a3634cf3a7755ac25c2ea24586f439292bf", "translated_description": "Learn about how the flu vaccine is made every year and how they name the strains that they put inside. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Xn29pt5159k/hqdefault.jpg", "youtube_id": "Xn29pt5159k", "content_kind": "Video", "readable_id": "making-flu-vaccine-each-year"}, {"translated_youtube_id": "wDghWK_Rr_E", "relative_url": "/video/5-common-flu-vaccine-excuses", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/5-common-flu-vaccine-excuses", "duration": 479, "translated_title": "5 common flu vaccine excuses", "translated_description_html": "Many people choose to avoid the flu vaccine each year. Review five popular excuses, and how they relate to common misunderstandings about the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1303688729", "description_html": "Many people choose to avoid the flu vaccine each year. Review five popular excuses, and how they relate to common misunderstandings about the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "5 common flu vaccine excuses", "progress_key": "v1303688729", "edit_slug": "edit/v/1303688729", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Many people choose to avoid the flu vaccine each year. Review five popular excuses, and how they relate to common misunderstandings about the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": null, "node_slug": "v/5-common-flu-vaccine-excuses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T00:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wDghWK_Rr_E.mp4/wDghWK_Rr_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wDghWK_Rr_E.mp4/wDghWK_Rr_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wDghWK_Rr_E.m3u8/wDghWK_Rr_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wDghWK_Rr_E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1303688729", "sha": "7a5d6551e87c930948d60dd9cd2e2b8677c027fd", "translated_description": "Many people choose to avoid the flu vaccine each year. Review five popular excuses, and how they relate to common misunderstandings about the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/wDghWK_Rr_E/hqdefault.jpg", "youtube_id": "wDghWK_Rr_E", "content_kind": "Video", "readable_id": "5-common-flu-vaccine-excuses"}, {"translated_youtube_id": "u6gpw_Deth8", "relative_url": "/video/vaccines-and-the-autism-myth---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vaccines-and-the-autism-myth---part-1", "duration": 591, "translated_title": "Vaccines and the autism myth - part 1", "translated_description_html": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1403742072", "description_html": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Vaccines and the autism myth - part 1", "progress_key": "v1403742072", "edit_slug": "edit/v/1403742072", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/vaccines-and-the-autism-myth---part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T00:15:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u6gpw_Deth8.mp4/u6gpw_Deth8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u6gpw_Deth8.mp4/u6gpw_Deth8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u6gpw_Deth8.m3u8/u6gpw_Deth8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u6gpw_Deth8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1403742072", "sha": "b1c9ea0c23498cac3ffa8eb06c9c96715b641f8d", "translated_description": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/u6gpw_Deth8/hqdefault.jpg", "youtube_id": "u6gpw_Deth8", "content_kind": "Video", "readable_id": "vaccines-and-the-autism-myth---part-1"}, {"translated_youtube_id": "HGb9m1dbNdM", "relative_url": "/video/vaccines-and-the-autism-myth---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vaccines-and-the-autism-myth---part-2", "duration": 541, "translated_title": "Vaccines and the autism myth - part 2", "translated_description_html": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "1403321001", "description_html": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Vaccines and the autism myth - part 2", "progress_key": "v1403321001", "edit_slug": "edit/v/1403321001", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/vaccines-and-the-autism-myth---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-23T00:16:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HGb9m1dbNdM.mp4/HGb9m1dbNdM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HGb9m1dbNdM.mp4/HGb9m1dbNdM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HGb9m1dbNdM.m3u8/HGb9m1dbNdM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HGb9m1dbNdM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1403321001", "sha": "3bc847c4122c3606d96ffcd14a6b288ab0ccded2", "translated_description": "The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism. Find out how it all got started. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/HGb9m1dbNdM/hqdefault.jpg", "youtube_id": "HGb9m1dbNdM", "content_kind": "Video", "readable_id": "vaccines-and-the-autism-myth---part-2"}], "twitter_url": "", "translated_description": "The fact is that many folks don’t get the flu shot. Find out some of the common reasons why this is the case, and some of the common myths that continue to circulate on the internet!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The fact is that many folks don’t get the flu shot. Find out some of the common reasons why this is the case, and some of the common myths that continue to circulate on the internet!", "x_pos": 0.0, "node_slug": "influenza-special-topics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1fba33d2", "topic_page_url": "/science/healthcare-and-medicine/influenza/influenza-special-topics", "extended_slug": "science/healthcare-and-medicine/influenza/influenza-special-topics", "slug": "influenza-special-topics", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "949a62bcb54644ed38bd15cee2aece28d53393c3", "standalone_title": "Influenza Special Topics", "y_pos": 0.0, "current_revision_key": "949a62bcb54644ed38bd15cee2aece28d53393c3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Most people have had the flu virus at least once in their lives, and it’s usually not a pleasant experience… Fight back with some good information! Learn about typical flu symptoms (and how tell it apart from the cold), and how the flu virus invades your cells to cause disease. Finally, learn how flu vaccines may help prevent you from getting sick, and how we can test and treat the flu just in case you get really ill. Stay healthy, my friends!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most people have had the flu virus at least once in their lives, and it’s usually not a pleasant experience… Fight back with some good information! Learn about typical flu symptoms (and how tell it apart from the cold), and how the flu virus invades your cells to cause disease. Finally, learn how flu vaccines may help prevent you from getting sick, and how we can test and treat the flu just in case you get really ill. Stay healthy, my friends!", "x_pos": 0.0, "node_slug": "influenza", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0b35bcd7", "topic_page_url": "/science/healthcare-and-medicine/influenza", "extended_slug": "science/healthcare-and-medicine/influenza", "slug": "influenza", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "38c7ed54d79d9f6821a61f7ba0e1cd83ecda40ca", "standalone_title": "Influenza", "y_pos": 0.0, "current_revision_key": "38c7ed54d79d9f6821a61f7ba0e1cd83ecda40ca", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/blood", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/blood", "translated_standalone_title": "Blood", "translated_title": "Blood", "gplus_url": "", "id": "xc2c4a896", "old_key_name": "xnsP9zI4_EX7pHYRAC3miWTgo-0QQGrezkKFS1jh", "hide": false, "title": "Blood", "child_data": [{"kind": "Video", "id": 1228258123}, {"kind": "Video", "id": 1228218407}, {"kind": "Video", "id": 1228432957}, {"kind": "Video", "id": 1228367762}, {"kind": "Video", "id": 1228242255}], "children": [{"translated_youtube_id": "5MOn8X-tyFw", "relative_url": "/video/what-s-inside-of-blood", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-s-inside-of-blood", "duration": 669, "translated_title": "What's inside of blood?", "translated_description_html": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228258123", "description_html": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What's inside of blood?", "progress_key": "v1228258123", "edit_slug": "edit/v/1228258123", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-s-inside-of-blood", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T22:14:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.m3u8/5MOn8X-tyFw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5MOn8X-tyFw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228258123", "sha": "a483ea034ead43a38f48104a7408c14a28b28e31", "translated_description": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/5MOn8X-tyFw/hqdefault.jpg", "youtube_id": "5MOn8X-tyFw", "content_kind": "Video", "readable_id": "what-s-inside-of-blood"}, {"translated_youtube_id": "QP8ImP6NCk8", "relative_url": "/video/hemoglobin-moves-o2-and-co2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hemoglobin-moves-o2-and-co2", "duration": 898, "translated_title": "Hemoglobin moves O2 and CO2", "translated_description_html": "Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228218407", "description_html": "Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Hemoglobin moves O2 and CO2", "progress_key": "v1228218407", "edit_slug": "edit/v/1228218407", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/hemoglobin-moves-o2-and-co2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T22:16:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.mp4/QP8ImP6NCk8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.mp4/QP8ImP6NCk8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.m3u8/QP8ImP6NCk8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QP8ImP6NCk8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228218407", "sha": "0b0f09e693dba92ef7c44485c172144924b69574", "translated_description": "Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/QP8ImP6NCk8/hqdefault.jpg", "youtube_id": "QP8ImP6NCk8", "content_kind": "Video", "readable_id": "hemoglobin-moves-o2-and-co2"}, {"translated_youtube_id": "dHi9ctwDUnc", "relative_url": "/video/bohr-effect-vs--haldane-effect", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bohr-effect-vs--haldane-effect", "duration": 833, "translated_title": "Bohr effect vs. Haldane effect", "translated_description_html": "Take a close look at how some friendly competition for Hemoglobin allows the body to more efficiently move oxygen and carbon Dioxide around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228432957", "description_html": "Take a close look at how some friendly competition for Hemoglobin allows the body to more efficiently move oxygen and carbon Dioxide around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Bohr effect vs. Haldane effect", "progress_key": "v1228432957", "edit_slug": "edit/v/1228432957", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Take a close look at how some friendly competition for Hemoglobin allows the body to more efficiently move oxygen and carbon Dioxide around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/bohr-effect-vs--haldane-effect", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.mp4/dHi9ctwDUnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.mp4/dHi9ctwDUnc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.m3u8/dHi9ctwDUnc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dHi9ctwDUnc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228432957", "sha": "de97a32c55b6de2d880e528afcd32b8e36e2ab9f", "translated_description": "Take a close look at how some friendly competition for Hemoglobin allows the body to more efficiently move oxygen and carbon Dioxide around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/dHi9ctwDUnc/hqdefault.jpg", "youtube_id": "dHi9ctwDUnc", "content_kind": "Video", "readable_id": "bohr-effect-vs--haldane-effect"}, {"translated_youtube_id": "SqE5S1qS7ZU", "relative_url": "/video/fetal-hemoglobin-and-hematocrit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fetal-hemoglobin-and-hematocrit", "duration": 872, "translated_title": "Fetal hemoglobin and hematocrit", "translated_description_html": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228367762", "description_html": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Fetal hemoglobin and hematocrit", "progress_key": "v1228367762", "edit_slug": "edit/v/1228367762", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/fetal-hemoglobin-and-hematocrit", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:02:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.m3u8/SqE5S1qS7ZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SqE5S1qS7ZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228367762", "sha": "8ccc26b899565986e015c4983b189b778965db8c", "translated_description": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SqE5S1qS7ZU/hqdefault.jpg", "youtube_id": "SqE5S1qS7ZU", "content_kind": "Video", "readable_id": "fetal-hemoglobin-and-hematocrit"}, {"translated_youtube_id": "a19T5CX2b-g", "relative_url": "/video/oxygen-content", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxygen-content", "duration": 673, "translated_title": "Oxygen content", "translated_description_html": "Learn how oxygen content (CaO2) is related to Hemoglobin concentration (Hb), oxygen saturation (SaO2), and the partial pressure of oxygen (PaO2). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228242255", "description_html": "Learn how oxygen content (CaO2) is related to Hemoglobin concentration (Hb), oxygen saturation (SaO2), and the partial pressure of oxygen (PaO2). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Oxygen content", "progress_key": "v1228242255", "edit_slug": "edit/v/1228242255", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how oxygen content (CaO2) is related to Hemoglobin concentration (Hb), oxygen saturation (SaO2), and the partial pressure of oxygen (PaO2). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/oxygen-content", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T22:15:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a19T5CX2b-g.mp4/a19T5CX2b-g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a19T5CX2b-g.mp4/a19T5CX2b-g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a19T5CX2b-g.m3u8/a19T5CX2b-g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a19T5CX2b-g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228242255", "sha": "442f4190b0070992cf4e3679d6db36a84d1bb79a", "translated_description": "Learn how oxygen content (CaO2) is related to Hemoglobin concentration (Hb), oxygen saturation (SaO2), and the partial pressure of oxygen (PaO2). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/a19T5CX2b-g/hqdefault.jpg", "youtube_id": "a19T5CX2b-g", "content_kind": "Video", "readable_id": "oxygen-content"}], "twitter_url": "", "translated_description": "Find out what's inside of blood", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out what's inside of blood", "x_pos": 0.0, "node_slug": "blood", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc2c4a896", "topic_page_url": "/science/healthcare-and-medicine/blood", "extended_slug": "science/healthcare-and-medicine/blood", "slug": "blood", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9994dd10038c18b07dfdb28afc53d2bc3e1b0d90", "standalone_title": "Blood", "y_pos": 0.0, "current_revision_key": "9994dd10038c18b07dfdb28afc53d2bc3e1b0d90", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/blood-vessel-diseases", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/blood-vessel-diseases", "translated_standalone_title": "Blood Vessel Diseases", "translated_title": "Blood vessel diseases", "gplus_url": "", "id": "xf562c87e", "old_key_name": "FURg1x17Ov83E9sFtySmAkIKofIMMQi9LSFDg43R", "hide": false, "title": "Blood vessel diseases", "child_data": [{"kind": "Video", "id": 1036157588}, {"kind": "Video", "id": 1035851899}, {"kind": "Video", "id": 1036107435}, {"kind": "Video", "id": 1036111765}, {"kind": "Video", "id": 1036118431}, {"kind": "Video", "id": 1036220302}], "children": [{"translated_youtube_id": "7b6LRebCgb4", "relative_url": "/video/arteries-vs--veins---what-s-the-difference", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteries-vs--veins---what-s-the-difference", "duration": 669, "translated_title": "Arteries vs. veins - what's the difference?", "translated_description_html": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036157588", "description_html": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arteries vs. veins - what's the difference?", "progress_key": "v1036157588", "edit_slug": "edit/v/1036157588", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arteries-vs--veins---what-s-the-difference", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:08:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.mp4/7b6LRebCgb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.mp4/7b6LRebCgb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7b6LRebCgb4.m3u8/7b6LRebCgb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7b6LRebCgb4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036157588", "sha": "595d77aab17e8acb9c8d7e46affd3924b6bd0050", "translated_description": "Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7b6LRebCgb4/hqdefault.jpg", "youtube_id": "7b6LRebCgb4", "content_kind": "Video", "readable_id": "arteries-vs--veins---what-s-the-difference"}, {"translated_youtube_id": "_T60pBGcoQU", "relative_url": "/video/arteriosclerosis--arteriolosclerosis--and-atherosclerosis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteriosclerosis--arteriolosclerosis--and-atherosclerosis", "duration": 558, "translated_title": "Arteriosclerosis, arteriolosclerosis, and atherosclerosis", "translated_description_html": "Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1035851899", "description_html": "Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arteriosclerosis, arteriolosclerosis, and atherosclerosis", "progress_key": "v1035851899", "edit_slug": "edit/v/1035851899", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arteriosclerosis--arteriolosclerosis--and-atherosclerosis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:09:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_T60pBGcoQU.mp4/_T60pBGcoQU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_T60pBGcoQU.mp4/_T60pBGcoQU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_T60pBGcoQU.m3u8/_T60pBGcoQU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_T60pBGcoQU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1035851899", "sha": "6bdbac58ec9a2c67e547bca5927446c7a0baca77", "translated_description": "Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/_T60pBGcoQU/hqdefault.jpg", "youtube_id": "_T60pBGcoQU", "content_kind": "Video", "readable_id": "arteriosclerosis--arteriolosclerosis--and-atherosclerosis"}, {"translated_youtube_id": "1qifvZnpKjU", "relative_url": "/video/atherosclerosis---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/atherosclerosis---part-1", "duration": 774, "translated_title": "Atherosclerosis - part 1", "translated_description_html": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036107435", "description_html": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Atherosclerosis - part 1", "progress_key": "v1036107435", "edit_slug": "edit/v/1036107435", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/atherosclerosis---part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:09:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1qifvZnpKjU.mp4/1qifvZnpKjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1qifvZnpKjU.mp4/1qifvZnpKjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1qifvZnpKjU.m3u8/1qifvZnpKjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1qifvZnpKjU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036107435", "sha": "db5cca1da4c03869d525d2ced02e7f678fb3f595", "translated_description": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/1qifvZnpKjU/hqdefault.jpg", "youtube_id": "1qifvZnpKjU", "content_kind": "Video", "readable_id": "atherosclerosis---part-1"}, {"translated_youtube_id": "N-mAEwzCwMM", "relative_url": "/video/atherosclerosis---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/atherosclerosis---part-2", "duration": 539, "translated_title": "Atherosclerosis - part 2", "translated_description_html": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036111765", "description_html": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Atherosclerosis - part 2", "progress_key": "v1036111765", "edit_slug": "edit/v/1036111765", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/atherosclerosis---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:10:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N-mAEwzCwMM.mp4/N-mAEwzCwMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N-mAEwzCwMM.mp4/N-mAEwzCwMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N-mAEwzCwMM.m3u8/N-mAEwzCwMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N-mAEwzCwMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036111765", "sha": "61975bf555bc8831b4780101df8da4f705152faa", "translated_description": "See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/N-mAEwzCwMM/hqdefault.jpg", "youtube_id": "N-mAEwzCwMM", "content_kind": "Video", "readable_id": "atherosclerosis---part-2"}, {"translated_youtube_id": "1JudNLK1-Ck", "relative_url": "/video/arteriolosclerosis---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteriolosclerosis---part-1", "duration": 674, "translated_title": "Arteriolosclerosis - part 1", "translated_description_html": "See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036118431", "description_html": "See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arteriolosclerosis - part 1", "progress_key": "v1036118431", "edit_slug": "edit/v/1036118431", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arteriolosclerosis---part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:10:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1JudNLK1-Ck.mp4/1JudNLK1-Ck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1JudNLK1-Ck.mp4/1JudNLK1-Ck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1JudNLK1-Ck.m3u8/1JudNLK1-Ck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1JudNLK1-Ck&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036118431", "sha": "80bb27d48b24f73ef52a6bcb8a75ad68b1c0acf4", "translated_description": "See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/1JudNLK1-Ck/hqdefault.jpg", "youtube_id": "1JudNLK1-Ck", "content_kind": "Video", "readable_id": "arteriolosclerosis---part-1"}, {"translated_youtube_id": "EOnlvbWjFOE", "relative_url": "/video/arteriolosclerosis---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arteriolosclerosis---part-2", "duration": 311, "translated_title": "Arteriolosclerosis - part 2", "translated_description_html": "See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036220302", "description_html": "See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arteriolosclerosis - part 2", "progress_key": "v1036220302", "edit_slug": "edit/v/1036220302", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arteriolosclerosis---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:11:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EOnlvbWjFOE.mp4/EOnlvbWjFOE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EOnlvbWjFOE.mp4/EOnlvbWjFOE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EOnlvbWjFOE.m3u8/EOnlvbWjFOE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EOnlvbWjFOE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036220302", "sha": "b3a12e8896810cdb03689b4f64c26916d06a47ae", "translated_description": "See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/EOnlvbWjFOE/hqdefault.jpg", "youtube_id": "EOnlvbWjFOE", "content_kind": "Video", "readable_id": "arteriolosclerosis---part-2"}], "twitter_url": "", "translated_description": "Learn about how arteries differ from veins and how arteries can get damaged over time.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about how arteries differ from veins and how arteries can get damaged over time.", "x_pos": 0.0, "node_slug": "blood-vessel-diseases", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf562c87e", "topic_page_url": "/science/healthcare-and-medicine/blood-vessel-diseases", "extended_slug": "science/healthcare-and-medicine/blood-vessel-diseases", "slug": "blood-vessel-diseases", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "97a160e96a1398bf56193ef7c8c944dace63e020", "standalone_title": "Blood Vessel Diseases", "y_pos": 0.0, "current_revision_key": "97a160e96a1398bf56193ef7c8c944dace63e020", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/fetal-circulation", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/fetal-circulation", "translated_standalone_title": "Fetal Circulation", "translated_title": "Fetal circulation", "gplus_url": "", "id": "x3e8aeab7", "old_key_name": "YuTltiN9lwZoeozqYlSXeCMYG5l_LTnyxmn--Q0K", "hide": false, "title": "Fetal circulation", "child_data": [{"kind": "Video", "id": 1192840523}, {"kind": "Video", "id": 1192637761}, {"kind": "Video", "id": 1081230475}, {"kind": "Video", "id": 1192980081}, {"kind": "Video", "id": 1228485319}, {"kind": "Video", "id": 1228367762}, {"kind": "Video", "id": 1228525134}, {"kind": "Video", "id": 1228306858}, {"kind": "Video", "id": 1228326727}, {"kind": "Video", "id": 1228408237}], "children": [{"translated_youtube_id": "VuTJPciLcnM", "relative_url": "/video/meet-the-placenta", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/meet-the-placenta", "duration": 749, "translated_title": "Meet the placenta!", "translated_description_html": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1192840523", "description_html": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Meet the placenta!", "progress_key": "v1192840523", "edit_slug": "edit/v/1192840523", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/meet-the-placenta", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-03T15:12:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.m3u8/VuTJPciLcnM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VuTJPciLcnM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1192840523", "sha": "92a3a834fb2af073c6ceb35254f5d7e700453f52", "translated_description": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/VuTJPciLcnM/hqdefault.jpg", "youtube_id": "VuTJPciLcnM", "content_kind": "Video", "readable_id": "meet-the-placenta"}, {"translated_youtube_id": "XDF2QyQtd_Q", "relative_url": "/video/umbilical-vessels-and-the-ductus-venosus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/umbilical-vessels-and-the-ductus-venosus", "duration": 753, "translated_title": "Umbilical vessels and the ductus venosus", "translated_description_html": "Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1192637761", "description_html": "Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Umbilical vessels and the ductus venosus", "progress_key": "v1192637761", "edit_slug": "edit/v/1192637761", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/umbilical-vessels-and-the-ductus-venosus", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-03T15:12:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.mp4/XDF2QyQtd_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.mp4/XDF2QyQtd_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.m3u8/XDF2QyQtd_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDF2QyQtd_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1192637761", "sha": "8d7849c62e28348a06a363aa8f0ba88d5ce925dc", "translated_description": "Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/XDF2QyQtd_Q/hqdefault.jpg", "youtube_id": "XDF2QyQtd_Q", "content_kind": "Video", "readable_id": "umbilical-vessels-and-the-ductus-venosus"}, {"translated_youtube_id": "7XaftdE_h60", "relative_url": "/video/flow-through-the-heart", "has_questions": "live", "keywords": "", "ka_url": "http://www.khanacademy.org/video/flow-through-the-heart", "duration": 471, "translated_title": "Flow through the heart", "translated_description_html": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1081230475", "description_html": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Flow through the heart", "progress_key": "v1081230475", "edit_slug": "edit/v/1081230475", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/flow-through-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-11T02:18:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.mp4/7XaftdE_h60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.mp4/7XaftdE_h60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7XaftdE_h60.m3u8/7XaftdE_h60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7XaftdE_h60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081230475", "sha": "bb7d189751819993456a55f55f05cf61128d1c8b", "translated_description": "Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7XaftdE_h60/hqdefault.jpg", "youtube_id": "7XaftdE_h60", "content_kind": "Video", "readable_id": "flow-through-the-heart"}, {"translated_youtube_id": "SJ1gu_WRx5o", "relative_url": "/video/hypoxic-pulmonary-vasoconstriction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hypoxic-pulmonary-vasoconstriction", "duration": 554, "translated_title": "Hypoxic pulmonary vasoconstriction", "translated_description_html": "Watch how blood gets diverted away from alveoli with low oxygen levels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1192980081", "description_html": "Watch how blood gets diverted away from alveoli with low oxygen levels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Hypoxic pulmonary vasoconstriction", "progress_key": "v1192980081", "edit_slug": "edit/v/1192980081", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Watch how blood gets diverted away from alveoli with low oxygen levels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/hypoxic-pulmonary-vasoconstriction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-03T15:11:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SJ1gu_WRx5o.mp4/SJ1gu_WRx5o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SJ1gu_WRx5o.mp4/SJ1gu_WRx5o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SJ1gu_WRx5o.m3u8/SJ1gu_WRx5o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SJ1gu_WRx5o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1192980081", "sha": "a7e14d5aa24b6b27a509d74281ca2b23a628e03c", "translated_description": "Watch how blood gets diverted away from alveoli with low oxygen levels. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SJ1gu_WRx5o/hqdefault.jpg", "youtube_id": "SJ1gu_WRx5o", "content_kind": "Video", "readable_id": "hypoxic-pulmonary-vasoconstriction"}, {"translated_youtube_id": "cgccQVcFLi4", "relative_url": "/video/foramen-ovale-and-ductus-arteriosus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/foramen-ovale-and-ductus-arteriosus", "duration": 853, "translated_title": "Foramen ovale and ductus arteriosus", "translated_description_html": "Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228485319", "description_html": "Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Foramen ovale and ductus arteriosus", "progress_key": "v1228485319", "edit_slug": "edit/v/1228485319", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/foramen-ovale-and-ductus-arteriosus", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:00:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.mp4/cgccQVcFLi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.mp4/cgccQVcFLi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.m3u8/cgccQVcFLi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cgccQVcFLi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228485319", "sha": "cb6781684fefbaf50cb547a31f9efa8ab6d927ee", "translated_description": "Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cgccQVcFLi4/hqdefault.jpg", "youtube_id": "cgccQVcFLi4", "content_kind": "Video", "readable_id": "foramen-ovale-and-ductus-arteriosus"}, {"translated_youtube_id": "SqE5S1qS7ZU", "relative_url": "/video/fetal-hemoglobin-and-hematocrit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fetal-hemoglobin-and-hematocrit", "duration": 872, "translated_title": "Fetal hemoglobin and hematocrit", "translated_description_html": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228367762", "description_html": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Fetal hemoglobin and hematocrit", "progress_key": "v1228367762", "edit_slug": "edit/v/1228367762", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/fetal-hemoglobin-and-hematocrit", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:02:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.m3u8/SqE5S1qS7ZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SqE5S1qS7ZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228367762", "sha": "8ccc26b899565986e015c4983b189b778965db8c", "translated_description": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SqE5S1qS7ZU/hqdefault.jpg", "youtube_id": "SqE5S1qS7ZU", "content_kind": "Video", "readable_id": "fetal-hemoglobin-and-hematocrit"}, {"translated_youtube_id": "SL3I_RYjyZo", "relative_url": "/video/double-bohr-effect", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/double-bohr-effect", "duration": 634, "translated_title": "Double Bohr effect", "translated_description_html": "Learn how there are two distinct Bohr effects happening at the same time in the placenta. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228525134", "description_html": "Learn how there are two distinct Bohr effects happening at the same time in the placenta. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Double Bohr effect", "progress_key": "v1228525134", "edit_slug": "edit/v/1228525134", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn how there are two distinct Bohr effects happening at the same time in the placenta. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/double-bohr-effect", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:03:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.mp4/SL3I_RYjyZo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.mp4/SL3I_RYjyZo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.m3u8/SL3I_RYjyZo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SL3I_RYjyZo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228525134", "sha": "183ff49f2fc6665eb5afa651b00e1bb080709df7", "translated_description": "Learn how there are two distinct Bohr effects happening at the same time in the placenta. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SL3I_RYjyZo/hqdefault.jpg", "youtube_id": "SL3I_RYjyZo", "content_kind": "Video", "readable_id": "double-bohr-effect"}, {"translated_youtube_id": "-IRkisEtzsk", "relative_url": "/video/fetal-circulation-right-before-birth", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fetal-circulation-right-before-birth", "duration": 713, "translated_title": "Fetal circulation right before birth", "translated_description_html": "Watch how the blood flows through the fetal circulation and compare it to what happens in the baby's body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228306858", "description_html": "Watch how the blood flows through the fetal circulation and compare it to what happens in the baby's body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Fetal circulation right before birth", "progress_key": "v1228306858", "edit_slug": "edit/v/1228306858", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Watch how the blood flows through the fetal circulation and compare it to what happens in the baby's body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/fetal-circulation-right-before-birth", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-15T01:04:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.mp4/-IRkisEtzsk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.mp4/-IRkisEtzsk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.m3u8/-IRkisEtzsk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-IRkisEtzsk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228306858", "sha": "bfa95726bea79fd68db2e6d530bb906c0c4ab62b", "translated_description": "Watch how the blood flows through the fetal circulation and compare it to what happens in the baby's body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/-IRkisEtzsk/hqdefault.jpg", "youtube_id": "-IRkisEtzsk", "content_kind": "Video", "readable_id": "fetal-circulation-right-before-birth"}, {"translated_youtube_id": "jFn0dyU5wUw", "relative_url": "/video/baby-circulation-right-after-birth", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/baby-circulation-right-after-birth", "duration": 805, "translated_title": "Baby circulation right after birth", "translated_description_html": "Watch how the blood flows through the baby's circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228326727", "description_html": "Watch how the blood flows through the baby's circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Baby circulation right after birth", "progress_key": "v1228326727", "edit_slug": "edit/v/1228326727", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Watch how the blood flows through the baby's circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/baby-circulation-right-after-birth", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-15T01:04:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.mp4/jFn0dyU5wUw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.mp4/jFn0dyU5wUw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.m3u8/jFn0dyU5wUw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFn0dyU5wUw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228326727", "sha": "d684dcf422ff2e800e866e0f34d21c64132f9d0d", "translated_description": "Watch how the blood flows through the baby's circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/jFn0dyU5wUw/hqdefault.jpg", "youtube_id": "jFn0dyU5wUw", "content_kind": "Video", "readable_id": "baby-circulation-right-after-birth"}, {"translated_youtube_id": "Oga0K4reWoY", "relative_url": "/video/fetal-structures-in-an-adult", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fetal-structures-in-an-adult", "duration": 497, "translated_title": "Fetal structures in an adult", "translated_description_html": "Find out what happens to those nifty fetal structures once we get older. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228408237", "description_html": "Find out what happens to those nifty fetal structures once we get older. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Fetal structures in an adult", "progress_key": "v1228408237", "edit_slug": "edit/v/1228408237", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out what happens to those nifty fetal structures once we get older. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/fetal-structures-in-an-adult", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T01:09:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.mp4/Oga0K4reWoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.mp4/Oga0K4reWoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.m3u8/Oga0K4reWoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oga0K4reWoY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228408237", "sha": "9cac92bb376b90a0f533d7c005c209a5af2caa8c", "translated_description": "Find out what happens to those nifty fetal structures once we get older. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Oga0K4reWoY/hqdefault.jpg", "youtube_id": "Oga0K4reWoY", "content_kind": "Video", "readable_id": "fetal-structures-in-an-adult"}], "twitter_url": "", "translated_description": "Find out how the heart and circulatory system work in the fetus!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out how the heart and circulatory system work in the fetus!", "x_pos": 0.0, "node_slug": "fetal-circulation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3e8aeab7", "topic_page_url": "/science/healthcare-and-medicine/fetal-circulation", "extended_slug": "science/healthcare-and-medicine/fetal-circulation", "slug": "fetal-circulation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b598135e12772190205b65c850d06ef0174a935c", "standalone_title": "Fetal Circulation", "y_pos": 0.0, "current_revision_key": "b598135e12772190205b65c850d06ef0174a935c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/arterial-stiffness", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/arterial-stiffness", "translated_standalone_title": "Arterial Stiffness", "translated_title": "Arterial stiffness", "gplus_url": "", "id": "x243835e6", "old_key_name": "JKz9HuMRNQwSkNz7YWBXKKS1cs5uFwsPhTiGo5Zv", "hide": false, "title": "Arterial stiffness", "child_data": [{"kind": "Video", "id": 1036209223}, {"kind": "Video", "id": 1036241270}, {"kind": "Video", "id": 1036286076}, {"kind": "Video", "id": 1036183638}, {"kind": "Video", "id": 1036051470}], "children": [{"translated_youtube_id": "cGhKJYfXW-c", "relative_url": "/video/compliance-and-elastance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/compliance-and-elastance", "duration": 597, "translated_title": "Compliance and elastance", "translated_description_html": "Learn about compliance (and elastance) of arteries, veins, and lead pipes! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036209223", "description_html": "Learn about compliance (and elastance) of arteries, veins, and lead pipes! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Compliance and elastance", "progress_key": "v1036209223", "edit_slug": "edit/v/1036209223", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn about compliance (and elastance) of arteries, veins, and lead pipes! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/compliance-and-elastance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-09-13T21:13:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cGhKJYfXW-c.mp4/cGhKJYfXW-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cGhKJYfXW-c.mp4/cGhKJYfXW-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cGhKJYfXW-c.m3u8/cGhKJYfXW-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cGhKJYfXW-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036209223", "sha": "03587f84717e0576104f957399ecf40c5ba6f78e", "translated_description": "Learn about compliance (and elastance) of arteries, veins, and lead pipes! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cGhKJYfXW-c/hqdefault.jpg", "youtube_id": "cGhKJYfXW-c", "content_kind": "Video", "readable_id": "compliance-and-elastance"}, {"translated_youtube_id": "gYpokkRFvO8", "relative_url": "/video/bernoulli-s-equation-of-total-energy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bernoulli-s-equation-of-total-energy", "duration": 418, "translated_title": "Bernoulli's equation of total energy", "translated_description_html": "Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036241270", "description_html": "Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Bernoulli's equation of total energy", "progress_key": "v1036241270", "edit_slug": "edit/v/1036241270", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/bernoulli-s-equation-of-total-energy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:13:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gYpokkRFvO8.mp4/gYpokkRFvO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gYpokkRFvO8.mp4/gYpokkRFvO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gYpokkRFvO8.m3u8/gYpokkRFvO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gYpokkRFvO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036241270", "sha": "d06d1b7d27892971c573744ce2016f8712cfc48f", "translated_description": "Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/gYpokkRFvO8/hqdefault.jpg", "youtube_id": "gYpokkRFvO8", "content_kind": "Video", "readable_id": "bernoulli-s-equation-of-total-energy"}, {"translated_youtube_id": "QcK7n-EqnQU", "relative_url": "/video/stored-elastic-energy-in-large-and-middle-sized-arteries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stored-elastic-energy-in-large-and-middle-sized-arteries", "duration": 381, "translated_title": "Stored elastic energy in large and middle sized arteries", "translated_description_html": "See how arteries behave like sling shots, shooting blood (not rocks) onwards! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036286076", "description_html": "See how arteries behave like sling shots, shooting blood (not rocks) onwards! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Stored elastic energy in large and middle sized arteries", "progress_key": "v1036286076", "edit_slug": "edit/v/1036286076", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how arteries behave like sling shots, shooting blood (not rocks) onwards! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/stored-elastic-energy-in-large-and-middle-sized-arteries", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:14:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QcK7n-EqnQU.mp4/QcK7n-EqnQU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QcK7n-EqnQU.mp4/QcK7n-EqnQU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QcK7n-EqnQU.m3u8/QcK7n-EqnQU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QcK7n-EqnQU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036286076", "sha": "c38bdd86a4c821fd3abaaf71f328953e29a7cdc8", "translated_description": "See how arteries behave like sling shots, shooting blood (not rocks) onwards! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/QcK7n-EqnQU/hqdefault.jpg", "youtube_id": "QcK7n-EqnQU", "content_kind": "Video", "readable_id": "stored-elastic-energy-in-large-and-middle-sized-arteries"}, {"translated_youtube_id": "RsYgjO5BiHU", "relative_url": "/video/compliance---decreased-blood-pressure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/compliance---decreased-blood-pressure", "duration": 595, "translated_title": "Compliance - decreased blood pressure", "translated_description_html": "Find out how compliance allows arteries to store elastic energy (and lower pressure). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036183638", "description_html": "Find out how compliance allows arteries to store elastic energy (and lower pressure). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Compliance - decreased blood pressure", "progress_key": "v1036183638", "edit_slug": "edit/v/1036183638", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how compliance allows arteries to store elastic energy (and lower pressure). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/compliance---decreased-blood-pressure", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:14:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RsYgjO5BiHU.mp4/RsYgjO5BiHU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RsYgjO5BiHU.mp4/RsYgjO5BiHU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RsYgjO5BiHU.m3u8/RsYgjO5BiHU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RsYgjO5BiHU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036183638", "sha": "2a9280107cec556c48d9bfe540457250b4a9b76b", "translated_description": "Find out how compliance allows arteries to store elastic energy (and lower pressure). Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/RsYgjO5BiHU/hqdefault.jpg", "youtube_id": "RsYgjO5BiHU", "content_kind": "Video", "readable_id": "compliance---decreased-blood-pressure"}, {"translated_youtube_id": "LcyEXlCIkmA", "relative_url": "/video/compliance---increased-blood-flow", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/compliance---increased-blood-flow", "duration": 414, "translated_title": "Compliance - increased blood flow", "translated_description_html": "Learn how compliant arteries allows for a \"Constant Pressure System\" like a modern water gun! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036051470", "description_html": "Learn how compliant arteries allows for a \"Constant Pressure System\" like a modern water gun! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Compliance - increased blood flow", "progress_key": "v1036051470", "edit_slug": "edit/v/1036051470", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how compliant arteries allows for a \"Constant Pressure System\" like a modern water gun! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/compliance---increased-blood-flow", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:15:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LcyEXlCIkmA.mp4/LcyEXlCIkmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LcyEXlCIkmA.mp4/LcyEXlCIkmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LcyEXlCIkmA.m3u8/LcyEXlCIkmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LcyEXlCIkmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036051470", "sha": "cc18a9042d6102518c07bb377075907e83ca2b44", "translated_description": "Learn how compliant arteries allows for a \"Constant Pressure System\" like a modern water gun! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/LcyEXlCIkmA/hqdefault.jpg", "youtube_id": "LcyEXlCIkmA", "content_kind": "Video", "readable_id": "compliance---increased-blood-flow"}], "twitter_url": "", "translated_description": "Find out why having \"stiff arteries\" can increase blood pressure and cause uneven blood flow. It all comes back to the idea of \"total energy\"!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out why having \"stiff arteries\" can increase blood pressure and cause uneven blood flow. It all comes back to the idea of \"total energy\"!", "x_pos": 0.0, "node_slug": "arterial-stiffness", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax243835e6", "topic_page_url": "/science/healthcare-and-medicine/arterial-stiffness", "extended_slug": "science/healthcare-and-medicine/arterial-stiffness", "slug": "arterial-stiffness", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c6deaf48e6f22ac1ab6f3470bae9bb25c9c62a56", "standalone_title": "Arterial Stiffness", "y_pos": 0.0, "current_revision_key": "c6deaf48e6f22ac1ab6f3470bae9bb25c9c62a56", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/healthy-lifestyle", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/healthy-lifestyle", "translated_standalone_title": "Healthy Lifestyle", "translated_title": "Healthy lifestyle", "gplus_url": "", "id": "xc6ee390c", "old_key_name": "asTyBcjvqVnzH-9ExOjKzoKxx2b8ifeznGpVqgX7", "hide": false, "title": "Healthy lifestyle", "child_data": [{"kind": "Video", "id": 1036301051}, {"kind": "Video", "id": 1036256248}, {"kind": "Video", "id": 1036124812}, {"kind": "Video", "id": 1036157676}, {"kind": "Video", "id": 1036260121}], "children": [{"translated_youtube_id": "54c_oPpTTP8", "relative_url": "/video/low-salt-diet", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/low-salt-diet", "duration": 409, "translated_title": "Low salt diet", "translated_description_html": "Figure out the difference between \"salt\" and \"sodium\" and how much salt is recommended on a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036301051", "description_html": "Figure out the difference between \"salt\" and \"sodium\" and how much salt is recommended on a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Low salt diet", "progress_key": "v1036301051", "edit_slug": "edit/v/1036301051", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figure out the difference between \"salt\" and \"sodium\" and how much salt is recommended on a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/low-salt-diet", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:15:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/54c_oPpTTP8.mp4/54c_oPpTTP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/54c_oPpTTP8.mp4/54c_oPpTTP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/54c_oPpTTP8.m3u8/54c_oPpTTP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=54c_oPpTTP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036301051", "sha": "fdbdc70af1acb2d2d8faadef372c4c1a8e7d7b0c", "translated_description": "Figure out the difference between \"salt\" and \"sodium\" and how much salt is recommended on a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/54c_oPpTTP8/hqdefault.jpg", "youtube_id": "54c_oPpTTP8", "content_kind": "Video", "readable_id": "low-salt-diet"}, {"translated_youtube_id": "O3A47Il5h1A", "relative_url": "/video/spotting-salty-foods", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spotting-salty-foods", "duration": 360, "translated_title": "Spotting salty foods", "translated_description_html": "Find out how much sodium is in some common foods and how you can maintain a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036256248", "description_html": "Find out how much sodium is in some common foods and how you can maintain a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Spotting salty foods", "progress_key": "v1036256248", "edit_slug": "edit/v/1036256248", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how much sodium is in some common foods and how you can maintain a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/spotting-salty-foods", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-13T21:16:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O3A47Il5h1A.mp4/O3A47Il5h1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O3A47Il5h1A.mp4/O3A47Il5h1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O3A47Il5h1A.m3u8/O3A47Il5h1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O3A47Il5h1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036256248", "sha": "76db5c8be5866689f2d043c6e2fc83f0f2373c48", "translated_description": "Find out how much sodium is in some common foods and how you can maintain a low sodium diet. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/O3A47Il5h1A/hqdefault.jpg", "youtube_id": "O3A47Il5h1A", "content_kind": "Video", "readable_id": "spotting-salty-foods"}, {"translated_youtube_id": "5RXRr8PKunk", "relative_url": "/video/calculate-your-own-body-mass-index", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculate-your-own-body-mass-index", "duration": 441, "translated_title": "Calculate your own body mass index", "translated_description_html": "Find out how simple it is to calculate your BMI and the common BMI categories. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036124812", "description_html": "Find out how simple it is to calculate your BMI and the common BMI categories. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Calculate your own body mass index", "progress_key": "v1036124812", "edit_slug": "edit/v/1036124812", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how simple it is to calculate your BMI and the common BMI categories. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/calculate-your-own-body-mass-index", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:16:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.m3u8/5RXRr8PKunk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5RXRr8PKunk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036124812", "sha": "23baf82e784ddc0a5b75289ee446728fe285bf9e", "translated_description": "Find out how simple it is to calculate your BMI and the common BMI categories. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/5RXRr8PKunk/hqdefault.jpg", "youtube_id": "5RXRr8PKunk", "content_kind": "Video", "readable_id": "calculate-your-own-body-mass-index"}, {"translated_youtube_id": "gDxCHaW-WfI", "relative_url": "/video/introduction-to-exercise", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-exercise", "duration": 611, "translated_title": "Introduction to exercise", "translated_description_html": "Learn the three fundamental categories of exercise and how you can incorporate exercise recommendations into a workout. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036157676", "description_html": "Learn the three fundamental categories of exercise and how you can incorporate exercise recommendations into a workout. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Introduction to exercise", "progress_key": "v1036157676", "edit_slug": "edit/v/1036157676", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the three fundamental categories of exercise and how you can incorporate exercise recommendations into a workout. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/introduction-to-exercise", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:19:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gDxCHaW-WfI.mp4/gDxCHaW-WfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gDxCHaW-WfI.mp4/gDxCHaW-WfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gDxCHaW-WfI.m3u8/gDxCHaW-WfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gDxCHaW-WfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036157676", "sha": "4991833e4fda9f2ad9d8541bffb77d4c34257f6a", "translated_description": "Learn the three fundamental categories of exercise and how you can incorporate exercise recommendations into a workout. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/gDxCHaW-WfI/hqdefault.jpg", "youtube_id": "gDxCHaW-WfI", "content_kind": "Video", "readable_id": "introduction-to-exercise"}, {"translated_youtube_id": "rKE63BBouP8", "relative_url": "/video/11-major-muscle-groups", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/11-major-muscle-groups", "duration": 261, "translated_title": "11 major muscle groups", "translated_description_html": "This quick video goes over 11 major muscle groups in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036260121", "description_html": "This quick video goes over 11 major muscle groups in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "11 major muscle groups", "progress_key": "v1036260121", "edit_slug": "edit/v/1036260121", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This quick video goes over 11 major muscle groups in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/11-major-muscle-groups", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:20:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rKE63BBouP8.mp4/rKE63BBouP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rKE63BBouP8.mp4/rKE63BBouP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rKE63BBouP8.m3u8/rKE63BBouP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rKE63BBouP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036260121", "sha": "f51d6991b7cd80806de10629b474481f9462390d", "translated_description": "This quick video goes over 11 major muscle groups in the body. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/rKE63BBouP8/hqdefault.jpg", "youtube_id": "rKE63BBouP8", "content_kind": "Video", "readable_id": "11-major-muscle-groups"}], "twitter_url": "", "translated_description": "Learn some of the fundamentals behind staying healthy: Reducing your salt, keeping your weight in a healthy range, and exercising regularly.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn some of the fundamentals behind staying healthy: Reducing your salt, keeping your weight in a healthy range, and exercising regularly.", "x_pos": 0.0, "node_slug": "healthy-lifestyle", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc6ee390c", "topic_page_url": "/science/healthcare-and-medicine/healthy-lifestyle", "extended_slug": "science/healthcare-and-medicine/healthy-lifestyle", "slug": "healthy-lifestyle", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b8270a288617272a3ee2ff8d274e42d74922f90f", "standalone_title": "Healthy Lifestyle", "y_pos": 0.0, "current_revision_key": "b8270a288617272a3ee2ff8d274e42d74922f90f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/endocrinology-and-diabetes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/endocrinology-and-diabetes", "translated_standalone_title": "Endocrinology and Diabetes", "translated_title": "Endocrinology and diabetes", "gplus_url": "", "id": "xf8d62fa3", "old_key_name": "JfpNzE_B3jstM-8IQbBjSnV1Bkwz6kNDt59E5OGC", "hide": false, "title": "Endocrinology and diabetes", "child_data": [{"kind": "Video", "id": 221376883}, {"kind": "Video", "id": 244040667}, {"kind": "Video", "id": 244040666}, {"kind": "Video", "id": 51012921}, {"kind": "Video", "id": 51012922}, {"kind": "Video", "id": 125492990}, {"kind": "Video", "id": 53625896}], "children": [{"translated_youtube_id": "f_Z1zsR9lFM", "relative_url": "/video/intro-to-the-endocrine-system", "has_questions": false, "keywords": "hormones, endocrine", "ka_url": "http://www.khanacademy.org/video/intro-to-the-endocrine-system", "duration": 577, "translated_title": "Intro to the endocrine system", "translated_description_html": "Basic overview of hormones and the endocrine system", "id": "221376883", "description_html": "Basic overview of hormones and the endocrine system", "title": "Intro to the endocrine system", "progress_key": "v221376883", "edit_slug": "edit/v/221376883", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic overview of hormones and the endocrine system", "extra_properties": null, "node_slug": "v/intro-to-the-endocrine-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-08-31T10:01:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.mp4/f_Z1zsR9lFM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.mp4/f_Z1zsR9lFM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.m3u8/f_Z1zsR9lFM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f_Z1zsR9lFM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v221376883", "sha": "76a1a25e9f206441b8aa3ff4a207661f0a0e0ec3", "translated_description": "Basic overview of hormones and the endocrine system", "image_url": "https://img.youtube.com/vi/f_Z1zsR9lFM/hqdefault.jpg", "youtube_id": "f_Z1zsR9lFM", "content_kind": "Video", "readable_id": "intro-to-the-endocrine-system"}, {"translated_youtube_id": "XhYQYVQq6K0", "relative_url": "/video/precocious-puberty", "has_questions": false, "keywords": "Precocious, Puberty", "ka_url": "http://www.khanacademy.org/video/precocious-puberty", "duration": 628, "translated_title": "Precocious puberty", "translated_description_html": "At Stanford Medical School with Morgan Theis talking to Dr. Laura Bachrach talking about precocious puberty", "id": "244040667", "description_html": "At Stanford Medical School with Morgan Theis talking to Dr. Laura Bachrach talking about precocious puberty", "title": "Precocious puberty", "progress_key": "v244040667", "edit_slug": "edit/v/244040667", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "At Stanford Medical School with Morgan Theis talking to Dr. Laura Bachrach talking about precocious puberty", "extra_properties": null, "node_slug": "v/precocious-puberty", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:01:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XhYQYVQq6K0.mp4/XhYQYVQq6K0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XhYQYVQq6K0.mp4/XhYQYVQq6K0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XhYQYVQq6K0.m3u8/XhYQYVQq6K0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XhYQYVQq6K0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244040667", "sha": "1853055c75068b2eaf37b458aec410d2f0dbf3b7", "translated_description": "At Stanford Medical School with Morgan Theis talking to Dr. Laura Bachrach talking about precocious puberty", "image_url": "https://img.youtube.com/vi/XhYQYVQq6K0/hqdefault.jpg", "youtube_id": "XhYQYVQq6K0", "content_kind": "Video", "readable_id": "precocious-puberty"}, {"translated_youtube_id": "gF0aA-si89Y", "relative_url": "/video/childhood-growth", "has_questions": false, "keywords": "Childhood, Growth", "ka_url": "http://www.khanacademy.org/video/childhood-growth", "duration": 756, "translated_title": "Childhood growth", "translated_description_html": "Sal talks with Dr. Laura Bachrach about childhood growth", "id": "244040666", "description_html": "Sal talks with Dr. Laura Bachrach about childhood growth", "title": "Childhood growth", "progress_key": "v244040666", "edit_slug": "edit/v/244040666", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sal talks with Dr. Laura Bachrach about childhood growth", "extra_properties": null, "node_slug": "v/childhood-growth", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-13T10:01:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gF0aA-si89Y.mp4/gF0aA-si89Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gF0aA-si89Y.mp4/gF0aA-si89Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gF0aA-si89Y.m3u8/gF0aA-si89Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gF0aA-si89Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244040666", "sha": "bed716e1a2131406873c48769a25148efd6e2939", "translated_description": "Sal talks with Dr. Laura Bachrach about childhood growth", "image_url": "https://img.youtube.com/vi/gF0aA-si89Y/hqdefault.jpg", "youtube_id": "gF0aA-si89Y", "content_kind": "Video", "readable_id": "childhood-growth"}, {"translated_youtube_id": "rPLjSY00JlE", "relative_url": "/video/glucose-insulin-and-diabetes", "has_questions": false, "keywords": "diabetes, insulin, glucose, marquee", "ka_url": "http://www.khanacademy.org/video/glucose-insulin-and-diabetes", "duration": 444, "translated_title": "Glucose insulin and diabetes", "translated_description_html": "The basics of Type I and Type II diabetes", "id": "51012921", "description_html": "The basics of Type I and Type II diabetes", "title": "Glucose insulin and diabetes", "progress_key": "v51012921", "edit_slug": "edit/v/51012921", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The basics of Type I and Type II diabetes", "extra_properties": null, "node_slug": "v/glucose-insulin-and-diabetes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-04T17:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rPLjSY00JlE.mp4/rPLjSY00JlE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rPLjSY00JlE.mp4/rPLjSY00JlE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rPLjSY00JlE.m3u8/rPLjSY00JlE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rPLjSY00JlE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v51012921", "sha": "4ac5dd3ecbafba6ac78088d9e56937d282cb49bb", "translated_description": "The basics of Type I and Type II diabetes", "image_url": "https://img.youtube.com/vi/rPLjSY00JlE/hqdefault.jpg", "youtube_id": "rPLjSY00JlE", "content_kind": "Video", "readable_id": "glucose-insulin-and-diabetes"}, {"translated_youtube_id": "JSFiOF7xGfE", "relative_url": "/video/blood-sugar-levels", "has_questions": false, "keywords": "diabetes, blood, sugar", "ka_url": "http://www.khanacademy.org/video/blood-sugar-levels", "duration": 535, "translated_title": "Blood sugar levels", "translated_description_html": "Normal and elevated blood sugar levels before (preprandia) and after (postprandial) a meal", "id": "51012922", "description_html": "Normal and elevated blood sugar levels before (preprandia) and after (postprandial) a meal", "title": "Blood sugar levels", "progress_key": "v51012922", "edit_slug": "edit/v/51012922", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Normal and elevated blood sugar levels before (preprandia) and after (postprandial) a meal", "extra_properties": null, "node_slug": "v/blood-sugar-levels", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-04-04T17:49:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JSFiOF7xGfE.mp4/JSFiOF7xGfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JSFiOF7xGfE.mp4/JSFiOF7xGfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JSFiOF7xGfE.m3u8/JSFiOF7xGfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JSFiOF7xGfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v51012922", "sha": "6866341cc2bb83f3b699a2b3ae4bbff7a21401df", "translated_description": "Normal and elevated blood sugar levels before (preprandia) and after (postprandial) a meal", "image_url": "https://img.youtube.com/vi/JSFiOF7xGfE/hqdefault.jpg", "youtube_id": "JSFiOF7xGfE", "content_kind": "Video", "readable_id": "blood-sugar-levels"}, {"translated_youtube_id": "j37Mx24JHC4", "relative_url": "/video/glucose-concentration-conversion", "has_questions": false, "keywords": "Glucose, Concentration, Conversion", "ka_url": "http://www.khanacademy.org/video/glucose-concentration-conversion", "duration": 202, "translated_title": "Glucose concentration conversion", "translated_description_html": null, "id": "125492990", "description_html": null, "title": "Glucose concentration conversion", "progress_key": "v125492990", "edit_slug": "edit/v/125492990", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/glucose-concentration-conversion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-06-22T23:27:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j37Mx24JHC4.mp4/j37Mx24JHC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j37Mx24JHC4.mp4/j37Mx24JHC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j37Mx24JHC4.m3u8/j37Mx24JHC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j37Mx24JHC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v125492990", "sha": "8f7b2eb0403bbbac6ad702b74d90098a05c172d8", "translated_description": null, "image_url": "https://img.youtube.com/vi/j37Mx24JHC4/hqdefault.jpg", "youtube_id": "j37Mx24JHC4", "content_kind": "Video", "readable_id": "glucose-concentration-conversion"}, {"translated_youtube_id": "MOH33-jFOwo", "relative_url": "/video/a1c-levels", "has_questions": false, "keywords": "hemoglobin, A1C, diabetes", "ka_url": "http://www.khanacademy.org/video/a1c-levels", "duration": 369, "translated_title": "A1C levels", "translated_description_html": "Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)", "id": "53625896", "description_html": "Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)", "title": "A1C levels", "progress_key": "v53625896", "edit_slug": "edit/v/53625896", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)", "extra_properties": null, "node_slug": "v/a1c-levels", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-06T23:59:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MOH33-jFOwo.mp4/MOH33-jFOwo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MOH33-jFOwo.mp4/MOH33-jFOwo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MOH33-jFOwo.m3u8/MOH33-jFOwo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MOH33-jFOwo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v53625896", "sha": "9cbefb69331068a6347aff652bdca05e538ceb8c", "translated_description": "Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)", "image_url": "https://img.youtube.com/vi/MOH33-jFOwo/hqdefault.jpg", "youtube_id": "MOH33-jFOwo", "content_kind": "Video", "readable_id": "a1c-levels"}], "twitter_url": "", "translated_description": "Learn about hormones and diabetes, as well as some important information on glucose control.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about hormones and diabetes, as well as some important information on glucose control.", "x_pos": 0.0, "node_slug": "endocrinology-and-diabetes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf8d62fa3", "topic_page_url": "/science/healthcare-and-medicine/endocrinology-and-diabetes", "extended_slug": "science/healthcare-and-medicine/endocrinology-and-diabetes", "slug": "endocrinology-and-diabetes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7a4ac57d559fc6b19390cb12054bbf94a3f38010", "standalone_title": "Endocrinology and Diabetes", "y_pos": 0.0, "current_revision_key": "7a4ac57d559fc6b19390cb12054bbf94a3f38010", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/health-care-system", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/health-care-system", "translated_standalone_title": "Health Care System", "translated_title": "Health care system", "gplus_url": "", "id": "x07fc128c", "old_key_name": "KY8aWddRmQGNZYbua7jkD4HxS04kQNBhA4dlgqEq", "hide": false, "title": "Health care system", "child_data": [{"kind": "Video", "id": 289594304}, {"kind": "Video", "id": 289594306}, {"kind": "Video", "id": 289594301}, {"kind": "Video", "id": 348994349}, {"kind": "Video", "id": 348974630}, {"kind": "Video", "id": 348973599}], "children": [{"translated_youtube_id": "S9xdJgPWO-w", "relative_url": "/video/blue-cross-and-blue-shield", "has_questions": false, "keywords": "Blue, Cross, and, Shield", "ka_url": "http://www.khanacademy.org/video/blue-cross-and-blue-shield", "duration": 605, "translated_title": "Blue Cross and Blue Shield", "translated_description_html": "Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield", "id": "289594304", "description_html": "Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield", "title": "Blue Cross and Blue Shield", "progress_key": "v289594304", "edit_slug": "edit/v/289594304", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield", "extra_properties": null, "node_slug": "v/blue-cross-and-blue-shield", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T10:01:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S9xdJgPWO-w.mp4/S9xdJgPWO-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S9xdJgPWO-w.mp4/S9xdJgPWO-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S9xdJgPWO-w.m3u8/S9xdJgPWO-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S9xdJgPWO-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289594304", "sha": "f4dfd448c56c7ebde8906dd817089790ec4f4347", "translated_description": "Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield", "image_url": "https://img.youtube.com/vi/S9xdJgPWO-w/hqdefault.jpg", "youtube_id": "S9xdJgPWO-w", "content_kind": "Video", "readable_id": "blue-cross-and-blue-shield"}, {"translated_youtube_id": "8t-Un7yH99g", "relative_url": "/video/conversation-about-drug-pricing", "has_questions": false, "keywords": "Marquee", "ka_url": "http://www.khanacademy.org/video/conversation-about-drug-pricing", "duration": 813, "translated_title": "Conversation about drug pricing", "translated_description_html": "Dr. Lauwrence Baker talks to Sal about how drug prices are set", "id": "289594306", "description_html": "Dr. Lauwrence Baker talks to Sal about how drug prices are set", "title": "Conversation about drug pricing", "progress_key": "v289594306", "edit_slug": "edit/v/289594306", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dr. Lauwrence Baker talks to Sal about how drug prices are set", "extra_properties": null, "node_slug": "v/conversation-about-drug-pricing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-10-04T10:01:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8t-Un7yH99g.mp4/8t-Un7yH99g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8t-Un7yH99g.mp4/8t-Un7yH99g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8t-Un7yH99g.m3u8/8t-Un7yH99g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8t-Un7yH99g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289594306", "sha": "15a34b28a71f9f58a1721759702461fc8d4248b9", "translated_description": "Dr. Lauwrence Baker talks to Sal about how drug prices are set", "image_url": "https://img.youtube.com/vi/8t-Un7yH99g/hqdefault.jpg", "youtube_id": "8t-Un7yH99g", "content_kind": "Video", "readable_id": "conversation-about-drug-pricing"}, {"translated_youtube_id": "6YU9HVS2GT0", "relative_url": "/video/health-care-costs-in-us-vs-europe", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/health-care-costs-in-us-vs-europe", "duration": 874, "translated_title": "Health care costs in US vs Europe", "translated_description_html": "A discussion about US health care costs", "id": "289594301", "description_html": "A discussion about US health care costs", "title": "Health care costs in US vs Europe", "progress_key": "v289594301", "edit_slug": "edit/v/289594301", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A discussion about US health care costs", "extra_properties": null, "node_slug": "v/health-care-costs-in-us-vs-europe", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T10:01:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6YU9HVS2GT0.mp4/6YU9HVS2GT0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6YU9HVS2GT0.mp4/6YU9HVS2GT0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6YU9HVS2GT0.m3u8/6YU9HVS2GT0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6YU9HVS2GT0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289594301", "sha": "df2f870efea42aa38953da70e50b5ecf5efd8867", "translated_description": "A discussion about US health care costs", "image_url": "https://img.youtube.com/vi/6YU9HVS2GT0/hqdefault.jpg", "youtube_id": "6YU9HVS2GT0", "content_kind": "Video", "readable_id": "health-care-costs-in-us-vs-europe"}, {"translated_youtube_id": "LMHxxvbzFqc", "relative_url": "/video/healthcare-system-overview", "has_questions": false, "keywords": "healthcare, economics", "ka_url": "http://www.khanacademy.org/video/healthcare-system-overview", "duration": 482, "translated_title": "Healthcare system overview", "translated_description_html": "The different roles in the healthcare system", "id": "348994349", "description_html": "The different roles in the healthcare system", "title": "Healthcare system overview", "progress_key": "v348994349", "edit_slug": "edit/v/348994349", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The different roles in the healthcare system", "extra_properties": null, "node_slug": "v/healthcare-system-overview", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-01T10:01:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LMHxxvbzFqc.mp4/LMHxxvbzFqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LMHxxvbzFqc.mp4/LMHxxvbzFqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LMHxxvbzFqc.m3u8/LMHxxvbzFqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LMHxxvbzFqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348994349", "sha": "8d8b7a9e8b5c98397b4aaac1df83067e2f5dc66c", "translated_description": "The different roles in the healthcare system", "image_url": "https://img.youtube.com/vi/LMHxxvbzFqc/hqdefault.jpg", "youtube_id": "LMHxxvbzFqc", "content_kind": "Video", "readable_id": "healthcare-system-overview"}, {"translated_youtube_id": "4J-dRA3MGc8", "relative_url": "/video/paying-doctors", "has_questions": false, "keywords": "healthcare, economics", "ka_url": "http://www.khanacademy.org/video/paying-doctors", "duration": 727, "translated_title": "Paying doctors", "translated_description_html": "Basics of how doctors get paid", "id": "348974630", "description_html": "Basics of how doctors get paid", "title": "Paying doctors", "progress_key": "v348974630", "edit_slug": "edit/v/348974630", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of how doctors get paid", "extra_properties": null, "node_slug": "v/paying-doctors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-01T10:01:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4J-dRA3MGc8.mp4/4J-dRA3MGc8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4J-dRA3MGc8.mp4/4J-dRA3MGc8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4J-dRA3MGc8.m3u8/4J-dRA3MGc8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4J-dRA3MGc8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348974630", "sha": "d665ded5cd9973597a1fecb55689a5fad3aa5e8a", "translated_description": "Basics of how doctors get paid", "image_url": "https://img.youtube.com/vi/4J-dRA3MGc8/hqdefault.jpg", "youtube_id": "4J-dRA3MGc8", "content_kind": "Video", "readable_id": "paying-doctors"}, {"translated_youtube_id": "VpLKdKkpg68", "relative_url": "/video/medicare-overview", "has_questions": false, "keywords": "medicare, medicaid", "ka_url": "http://www.khanacademy.org/video/medicare-overview", "duration": 961, "translated_title": "Medicare overview", "translated_description_html": "Sal talks with Professor Laurence Baker of Stanford Medical School", "id": "348973599", "description_html": "Sal talks with Professor Laurence Baker of Stanford Medical School", "title": "Medicare overview", "progress_key": "v348973599", "edit_slug": "edit/v/348973599", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal talks with Professor Laurence Baker of Stanford Medical School", "extra_properties": null, "node_slug": "v/medicare-overview", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-11-01T10:01:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VpLKdKkpg68.mp4/VpLKdKkpg68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VpLKdKkpg68.mp4/VpLKdKkpg68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VpLKdKkpg68.m3u8/VpLKdKkpg68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VpLKdKkpg68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v348973599", "sha": "71cceb9f8a093745fbb2ce3558fb5c6730b8d74e", "translated_description": "Sal talks with Professor Laurence Baker of Stanford Medical School", "image_url": "https://img.youtube.com/vi/VpLKdKkpg68/hqdefault.jpg", "youtube_id": "VpLKdKkpg68", "content_kind": "Video", "readable_id": "medicare-overview"}], "twitter_url": "", "translated_description": "Learn some basics about the Health Care system in the US", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn some basics about the Health Care system in the US", "x_pos": 0.0, "node_slug": "health-care-system", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax07fc128c", "topic_page_url": "/science/healthcare-and-medicine/health-care-system", "extended_slug": "science/healthcare-and-medicine/health-care-system", "slug": "health-care-system", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a40cd73bf577b63f38e1edebb3546bb468316414", "standalone_title": "Health Care System", "y_pos": 0.0, "current_revision_key": "a40cd73bf577b63f38e1edebb3546bb468316414", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/colon-disease", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/colon-disease", "translated_standalone_title": "Colon Disease", "translated_title": "Colon disease", "gplus_url": "", "id": "x7a573829", "old_key_name": "ztWa1Nyjr15OAROOnU4pU0UkRMBrjZ9Rt7mHlDMe", "hide": false, "title": "Colon disease", "child_data": [{"kind": "Video", "id": 206047807}, {"kind": "Video", "id": 206047808}, {"kind": "Video", "id": 206047806}, {"kind": "Video", "id": 206047805}], "children": [{"translated_youtube_id": "fif5ghe8JM0", "relative_url": "/video/normal-colon-tissue", "has_questions": false, "keywords": "medicine, pathology, histology", "ka_url": "http://www.khanacademy.org/video/normal-colon-tissue", "duration": 698, "translated_title": "Normal colon tissue", "translated_description_html": "Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like", "id": "206047807", "description_html": "Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like", "title": "Normal colon tissue", "progress_key": "v206047807", "edit_slug": "edit/v/206047807", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like", "extra_properties": null, "node_slug": "v/normal-colon-tissue", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-20T18:50:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fif5ghe8JM0.mp4/fif5ghe8JM0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fif5ghe8JM0.mp4/fif5ghe8JM0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fif5ghe8JM0.m3u8/fif5ghe8JM0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fif5ghe8JM0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v206047807", "sha": "53cf77db9a877952eb1382ade4d3fa67d95759f4", "translated_description": "Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like", "image_url": "https://img.youtube.com/vi/fif5ghe8JM0/hqdefault.jpg", "youtube_id": "fif5ghe8JM0", "content_kind": "Video", "readable_id": "normal-colon-tissue"}, {"translated_youtube_id": "C0frzmxc5KU", "relative_url": "/video/hyperplasia-in-colon-tissue", "has_questions": false, "keywords": "medicine, pathology, histology", "ka_url": "http://www.khanacademy.org/video/hyperplasia-in-colon-tissue", "duration": 327, "translated_title": "Hyperplasia in colon tissue", "translated_description_html": "Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like", "id": "206047808", "description_html": "Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like", "title": "Hyperplasia in colon tissue", "progress_key": "v206047808", "edit_slug": "edit/v/206047808", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like", "extra_properties": null, "node_slug": "v/hyperplasia-in-colon-tissue", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-20T18:50:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C0frzmxc5KU.mp4/C0frzmxc5KU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C0frzmxc5KU.mp4/C0frzmxc5KU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C0frzmxc5KU.m3u8/C0frzmxc5KU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C0frzmxc5KU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v206047808", "sha": "612e7f47f715984cd9f0dafb870506309bc5cfc2", "translated_description": "Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like", "image_url": "https://img.youtube.com/vi/C0frzmxc5KU/hqdefault.jpg", "youtube_id": "C0frzmxc5KU", "content_kind": "Video", "readable_id": "hyperplasia-in-colon-tissue"}, {"translated_youtube_id": "CGrbnripinU", "relative_url": "/video/colon-dysplasia", "has_questions": false, "keywords": "medicine, pahtology, cancer, histology, colon", "ka_url": "http://www.khanacademy.org/video/colon-dysplasia", "duration": 634, "translated_title": "Colon dysplasia", "translated_description_html": "Dr. Andy Connolly shows Sal what cancerous colon tissue looks like", "id": "206047806", "description_html": "Dr. Andy Connolly shows Sal what cancerous colon tissue looks like", "title": "Colon dysplasia", "progress_key": "v206047806", "edit_slug": "edit/v/206047806", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Andy Connolly shows Sal what cancerous colon tissue looks like", "extra_properties": null, "node_slug": "v/colon-dysplasia", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-20T18:50:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGrbnripinU.mp4/CGrbnripinU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CGrbnripinU.mp4/CGrbnripinU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGrbnripinU.m3u8/CGrbnripinU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CGrbnripinU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v206047806", "sha": "9423054576ea4062ce9125a27e09d5d51ddc570a", "translated_description": "Dr. Andy Connolly shows Sal what cancerous colon tissue looks like", "image_url": "https://img.youtube.com/vi/CGrbnripinU/hqdefault.jpg", "youtube_id": "CGrbnripinU", "content_kind": "Video", "readable_id": "colon-dysplasia"}, {"translated_youtube_id": "KyJs9H0vzTM", "relative_url": "/video/cancerous-colon-tissue", "has_questions": false, "keywords": "cancer, histology, pathology, colon, tissue", "ka_url": "http://www.khanacademy.org/video/cancerous-colon-tissue", "duration": 757, "translated_title": "Cancerous colon tissue", "translated_description_html": "Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like", "id": "206047805", "description_html": "Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like", "title": "Cancerous colon tissue", "progress_key": "v206047805", "edit_slug": "edit/v/206047805", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like", "extra_properties": null, "node_slug": "v/cancerous-colon-tissue", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-20T18:50:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.mp4/KyJs9H0vzTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.mp4/KyJs9H0vzTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.m3u8/KyJs9H0vzTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KyJs9H0vzTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v206047805", "sha": "1ea46ee9782deda89c59db3797894d1ff8018ee9", "translated_description": "Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like", "image_url": "https://img.youtube.com/vi/KyJs9H0vzTM/hqdefault.jpg", "youtube_id": "KyJs9H0vzTM", "content_kind": "Video", "readable_id": "cancerous-colon-tissue"}], "twitter_url": "", "translated_description": "Get a ring-side seat as a pathologist talks about colon cells under the microscope.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Get a ring-side seat as a pathologist talks about colon cells under the microscope.", "x_pos": 0.0, "node_slug": "colon-disease", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7a573829", "topic_page_url": "/science/healthcare-and-medicine/colon-disease", "extended_slug": "science/healthcare-and-medicine/colon-disease", "slug": "colon-disease", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d1e4d9919cacd5ac6fc2e283a643205e19c20d08", "standalone_title": "Colon Disease", "y_pos": 0.0, "current_revision_key": "d1e4d9919cacd5ac6fc2e283a643205e19c20d08", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/cervical-spine", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/cervical-spine", "translated_standalone_title": "Cervical Spine", "translated_title": "Cervical spine", "gplus_url": "", "id": "x29b27ae6", "old_key_name": "umLFNDFmT8nPOrsgTPFNdSNucz7l6xKNBEz9nHqi", "hide": false, "title": "Cervical spine", "child_data": [{"kind": "Video", "id": 209595589}, {"kind": "Video", "id": 209595591}, {"kind": "Video", "id": 209595590}], "children": [{"translated_youtube_id": "cbkTTluHaTw", "relative_url": "/video/adequacy-of-the-lateral-cervical-spine-x-ray", "has_questions": false, "keywords": "medicine, x-rays", "ka_url": "http://www.khanacademy.org/video/adequacy-of-the-lateral-cervical-spine-x-ray", "duration": 424, "translated_title": "Adequacy of the lateral cervical spine X-ray", "translated_description_html": "Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays", "id": "209595589", "description_html": "Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays", "title": "Adequacy of the lateral cervical spine X-ray", "progress_key": "v209595589", "edit_slug": "edit/v/209595589", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays", "extra_properties": null, "node_slug": "v/adequacy-of-the-lateral-cervical-spine-x-ray", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cbkTTluHaTw.mp4/cbkTTluHaTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cbkTTluHaTw.mp4/cbkTTluHaTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cbkTTluHaTw.m3u8/cbkTTluHaTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cbkTTluHaTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209595589", "sha": "ac0836dd246410c428c8ad1cd560c0718161aa9d", "translated_description": "Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays", "image_url": "https://img.youtube.com/vi/cbkTTluHaTw/hqdefault.jpg", "youtube_id": "cbkTTluHaTw", "content_kind": "Video", "readable_id": "adequacy-of-the-lateral-cervical-spine-x-ray"}, {"translated_youtube_id": "PV5u5xskBKM", "relative_url": "/video/assessing-alignment-of-the-lateral-cervical-spine--neck--x-ray", "has_questions": false, "keywords": "medicine, global, health, x-ray, cervical, trauma", "ka_url": "http://www.khanacademy.org/video/assessing-alignment-of-the-lateral-cervical-spine--neck--x-ray", "duration": 452, "translated_title": "Assessing alignment of the lateral cervical spine (neck) X-ray", "translated_description_html": "Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray", "id": "209595591", "description_html": "Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray", "title": "Assessing alignment of the lateral cervical spine (neck) X-ray", "progress_key": "v209595591", "edit_slug": "edit/v/209595591", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray", "extra_properties": null, "node_slug": "v/assessing-alignment-of-the-lateral-cervical-spine--neck--x-ray", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PV5u5xskBKM.mp4/PV5u5xskBKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PV5u5xskBKM.mp4/PV5u5xskBKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PV5u5xskBKM.m3u8/PV5u5xskBKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PV5u5xskBKM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209595591", "sha": "f4991696493f216a9eff57037378c0fbaba8df5f", "translated_description": "Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray", "image_url": "https://img.youtube.com/vi/PV5u5xskBKM/hqdefault.jpg", "youtube_id": "PV5u5xskBKM", "content_kind": "Video", "readable_id": "assessing-alignment-of-the-lateral-cervical-spine--neck--x-ray"}, {"translated_youtube_id": "DJY89_jC_ZY", "relative_url": "/video/cervical-spine-protection-in-airway-management--not-a-substitute-for-formal-training", "has_questions": false, "keywords": "medicine, emergency", "ka_url": "http://www.khanacademy.org/video/cervical-spine-protection-in-airway-management--not-a-substitute-for-formal-training", "duration": 638, "translated_title": "Cervical spine protection in airway management (not a substitute for formal training)", "translated_description_html": "Cervical Spine Protection in Airway Management. This is for education only. It is not a substitute for formal training or licensure. Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production. We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation. We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.", "id": "209595590", "description_html": "Cervical Spine Protection in Airway Management. This is for education only. It is not a substitute for formal training or licensure. Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production. We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation. We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.", "title": "Cervical spine protection in airway management (not a substitute for formal training)", "progress_key": "v209595590", "edit_slug": "edit/v/209595590", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Cervical Spine Protection in Airway Management. This is for education only. It is not a substitute for formal training or licensure. Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production. We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation. We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.", "extra_properties": null, "node_slug": "v/cervical-spine-protection-in-airway-management--not-a-substitute-for-formal-training", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DJY89_jC_ZY.mp4/DJY89_jC_ZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DJY89_jC_ZY.mp4/DJY89_jC_ZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DJY89_jC_ZY.m3u8/DJY89_jC_ZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DJY89_jC_ZY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209595590", "sha": "24c1f8398f2125edbdc0fd2995a3a2b467b27b5d", "translated_description": "Cervical Spine Protection in Airway Management. This is for education only. It is not a substitute for formal training or licensure. Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production. We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation. We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.", "image_url": "https://img.youtube.com/vi/DJY89_jC_ZY/hqdefault.jpg", "youtube_id": "DJY89_jC_ZY", "content_kind": "Video", "readable_id": "cervical-spine-protection-in-airway-management--not-a-substitute-for-formal-training"}], "twitter_url": "", "translated_description": "Learn about the cervical (neck) spine through an Xray!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about the cervical (neck) spine through an Xray!", "x_pos": 0.0, "node_slug": "cervical-spine", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax29b27ae6", "topic_page_url": "/science/healthcare-and-medicine/cervical-spine", "extended_slug": "science/healthcare-and-medicine/cervical-spine", "slug": "cervical-spine", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85458db543eb3c69d7568a2be34414dd3733392e", "standalone_title": "Cervical Spine", "y_pos": 0.0, "current_revision_key": "85458db543eb3c69d7568a2be34414dd3733392e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/hypertension", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/hypertension", "translated_standalone_title": "Hypertension", "translated_title": "Hypertension", "gplus_url": "", "id": "xef0055aa", "old_key_name": "KmbKGE-0ugs8-rFVWSF3NnKq8JCHUxIVD4_zP0w5", "hide": false, "title": "Hypertension", "child_data": [{"kind": "Video", "id": 1036138448}, {"kind": "Video", "id": 1036249138}, {"kind": "Video", "id": 1036124747}, {"kind": "Video", "id": 1036215201}, {"kind": "Video", "id": 1036191424}], "children": [{"translated_youtube_id": "FBoYigdnLKQ", "relative_url": "/video/what-is-hypertension", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-hypertension", "duration": 429, "translated_title": "What is hypertension?", "translated_description_html": "Learn the categories of hypertension for systolic and diastolic blood pressures. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036138448", "description_html": "Learn the categories of hypertension for systolic and diastolic blood pressures. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is hypertension?", "progress_key": "v1036138448", "edit_slug": "edit/v/1036138448", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the categories of hypertension for systolic and diastolic blood pressures. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-hypertension", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-13T21:05:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FBoYigdnLKQ.mp4/FBoYigdnLKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FBoYigdnLKQ.mp4/FBoYigdnLKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FBoYigdnLKQ.m3u8/FBoYigdnLKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FBoYigdnLKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036138448", "sha": "09c96b9532fe729a484c258c31c188bab18736ac", "translated_description": "Learn the categories of hypertension for systolic and diastolic blood pressures. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/FBoYigdnLKQ/hqdefault.jpg", "youtube_id": "FBoYigdnLKQ", "content_kind": "Video", "readable_id": "what-is-hypertension"}, {"translated_youtube_id": "8aeivxR1GDc", "relative_url": "/video/hypertension-symptoms-and-categories", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hypertension-symptoms-and-categories", "duration": 507, "translated_title": "Hypertension symptoms and categories", "translated_description_html": "Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036249138", "description_html": "Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Hypertension symptoms and categories", "progress_key": "v1036249138", "edit_slug": "edit/v/1036249138", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/hypertension-symptoms-and-categories", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:05:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.mp4/8aeivxR1GDc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.mp4/8aeivxR1GDc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.m3u8/8aeivxR1GDc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8aeivxR1GDc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036249138", "sha": "df3a423b4b0afc6c4da2548de265bfabe3d8cdc1", "translated_description": "Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/8aeivxR1GDc/hqdefault.jpg", "youtube_id": "8aeivxR1GDc", "content_kind": "Video", "readable_id": "hypertension-symptoms-and-categories"}, {"translated_youtube_id": "PYkaoQc-fLU", "relative_url": "/video/hypertension-effects-on-the-blood-vessels", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hypertension-effects-on-the-blood-vessels", "duration": 429, "translated_title": "Hypertension effects on the blood vessels", "translated_description_html": "Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036124747", "description_html": "Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Hypertension effects on the blood vessels", "progress_key": "v1036124747", "edit_slug": "edit/v/1036124747", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/hypertension-effects-on-the-blood-vessels", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-13T21:06:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PYkaoQc-fLU.mp4/PYkaoQc-fLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PYkaoQc-fLU.mp4/PYkaoQc-fLU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PYkaoQc-fLU.m3u8/PYkaoQc-fLU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PYkaoQc-fLU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036124747", "sha": "239d160844a80425347e035dbab95b6c01f2c13a", "translated_description": "Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/PYkaoQc-fLU/hqdefault.jpg", "youtube_id": "PYkaoQc-fLU", "content_kind": "Video", "readable_id": "hypertension-effects-on-the-blood-vessels"}, {"translated_youtube_id": "0fWuPR1AsJ4", "relative_url": "/video/hypertension-effects-on-the-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hypertension-effects-on-the-heart", "duration": 439, "translated_title": "Hypertension effects on the heart", "translated_description_html": "Learn 2 major heart problems that hypertension can cause. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036215201", "description_html": "Learn 2 major heart problems that hypertension can cause. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Hypertension effects on the heart", "progress_key": "v1036215201", "edit_slug": "edit/v/1036215201", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn 2 major heart problems that hypertension can cause. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/hypertension-effects-on-the-heart", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:06:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0fWuPR1AsJ4.mp4/0fWuPR1AsJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0fWuPR1AsJ4.mp4/0fWuPR1AsJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0fWuPR1AsJ4.m3u8/0fWuPR1AsJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0fWuPR1AsJ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036215201", "sha": "e1709d66817ecc42641f3be75cbc9bf12673958a", "translated_description": "Learn 2 major heart problems that hypertension can cause. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/0fWuPR1AsJ4/hqdefault.jpg", "youtube_id": "0fWuPR1AsJ4", "content_kind": "Video", "readable_id": "hypertension-effects-on-the-heart"}, {"translated_youtube_id": "Y2B6j7poiKI", "relative_url": "/video/4-lifestyle-changes-to-help-manage-hypertension", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/4-lifestyle-changes-to-help-manage-hypertension", "duration": 395, "translated_title": "4 lifestyle changes to help manage hypertension", "translated_description_html": "Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1036191424", "description_html": "Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "4 lifestyle changes to help manage hypertension", "progress_key": "v1036191424", "edit_slug": "edit/v/1036191424", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/4-lifestyle-changes-to-help-manage-hypertension", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-13T21:07:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y2B6j7poiKI.mp4/Y2B6j7poiKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y2B6j7poiKI.mp4/Y2B6j7poiKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y2B6j7poiKI.m3u8/Y2B6j7poiKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y2B6j7poiKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1036191424", "sha": "681fab7ac9aae0355b2f5a26fe1bd96be2bc5c59", "translated_description": "Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Y2B6j7poiKI/hqdefault.jpg", "youtube_id": "Y2B6j7poiKI", "content_kind": "Video", "readable_id": "4-lifestyle-changes-to-help-manage-hypertension"}], "twitter_url": "", "translated_description": "Learn all about hypertension: symptoms, diagnosis, and how lifestyle changes can make a difference!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn all about hypertension: symptoms, diagnosis, and how lifestyle changes can make a difference!", "x_pos": 0.0, "node_slug": "hypertension", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef0055aa", "topic_page_url": "/science/healthcare-and-medicine/hypertension", "extended_slug": "science/healthcare-and-medicine/hypertension", "slug": "hypertension", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fb86b2e80710510eb1f2ab4c24ead11a36b4c07d", "standalone_title": "Hypertension", "y_pos": 0.0, "current_revision_key": "fb86b2e80710510eb1f2ab4c24ead11a36b4c07d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/lab-values", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/lab-values", "translated_standalone_title": "Lab Values and Concentrations", "translated_title": "Lab values and concentrations", "gplus_url": "", "id": "x1f8c66c8", "old_key_name": "WH1BpDEgHWLXVSNwkoQV0vbgPYVczwesuDesshHo", "hide": false, "title": "Lab values and concentrations", "child_data": [{"kind": "Video", "id": 1058493149}, {"kind": "Video", "id": 1228258123}, {"kind": "Video", "id": 1058438251}, {"kind": "Video", "id": 1058207911}, {"kind": "Video", "id": 364061}, {"kind": "Video", "id": 1058257462}, {"kind": "Video", "id": 1058477253}, {"kind": "Video", "id": 1058451242}, {"kind": "Video", "id": 1057946910}, {"kind": "Video", "id": 1058446306}], "children": [{"translated_youtube_id": "_mGszRbve9s", "relative_url": "/video/introduction-to-lab-values-and-normal-ranges", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-lab-values-and-normal-ranges", "duration": 642, "translated_title": "Introduction to lab values and normal ranges", "translated_description_html": "Find out how health professionals use short-hand for labs and the meaning of normal ranges. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058493149", "description_html": "Find out how health professionals use short-hand for labs and the meaning of normal ranges. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Introduction to lab values and normal ranges", "progress_key": "v1058493149", "edit_slug": "edit/v/1058493149", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how health professionals use short-hand for labs and the meaning of normal ranges. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/introduction-to-lab-values-and-normal-ranges", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-27T18:30:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_mGszRbve9s.mp4/_mGszRbve9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_mGszRbve9s.mp4/_mGszRbve9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_mGszRbve9s.m3u8/_mGszRbve9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_mGszRbve9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058493149", "sha": "4236f0a3cf117883b47b720032a4b7ded079430f", "translated_description": "Find out how health professionals use short-hand for labs and the meaning of normal ranges. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/_mGszRbve9s/hqdefault.jpg", "youtube_id": "_mGszRbve9s", "content_kind": "Video", "readable_id": "introduction-to-lab-values-and-normal-ranges"}, {"translated_youtube_id": "5MOn8X-tyFw", "relative_url": "/video/what-s-inside-of-blood", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-s-inside-of-blood", "duration": 669, "translated_title": "What's inside of blood?", "translated_description_html": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1228258123", "description_html": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What's inside of blood?", "progress_key": "v1228258123", "edit_slug": "edit/v/1228258123", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-s-inside-of-blood", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T22:14:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.m3u8/5MOn8X-tyFw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5MOn8X-tyFw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1228258123", "sha": "a483ea034ead43a38f48104a7408c14a28b28e31", "translated_description": "Spin down your blood and find out what it's made up of. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/5MOn8X-tyFw/hqdefault.jpg", "youtube_id": "5MOn8X-tyFw", "content_kind": "Video", "readable_id": "what-s-inside-of-blood"}, {"translated_youtube_id": "OLWvKdV4PHg", "relative_url": "/video/units-for-common-medical-lab-values", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/units-for-common-medical-lab-values", "duration": 685, "translated_title": "Units for common medical lab values", "translated_description_html": "Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058438251", "description_html": "Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Units for common medical lab values", "progress_key": "v1058438251", "edit_slug": "edit/v/1058438251", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/units-for-common-medical-lab-values", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-27T18:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OLWvKdV4PHg.mp4/OLWvKdV4PHg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OLWvKdV4PHg.mp4/OLWvKdV4PHg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OLWvKdV4PHg.m3u8/OLWvKdV4PHg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OLWvKdV4PHg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058438251", "sha": "6a8a255d41332a544a9b23b7070b94f34c85d982", "translated_description": "Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/OLWvKdV4PHg/hqdefault.jpg", "youtube_id": "OLWvKdV4PHg", "content_kind": "Video", "readable_id": "units-for-common-medical-lab-values"}, {"translated_youtube_id": "If4Ar9lnB_4", "relative_url": "/video/what-is-an-equivalent", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-an-equivalent", "duration": 618, "translated_title": "What is an equivalent?", "translated_description_html": "Figure out how to calculate an equivalent and how it relates to a mole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058207911", "description_html": "Figure out how to calculate an equivalent and how it relates to a mole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is an equivalent?", "progress_key": "v1058207911", "edit_slug": "edit/v/1058207911", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figure out how to calculate an equivalent and how it relates to a mole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/what-is-an-equivalent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-27T18:31:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/If4Ar9lnB_4.mp4/If4Ar9lnB_4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/If4Ar9lnB_4.mp4/If4Ar9lnB_4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/If4Ar9lnB_4.m3u8/If4Ar9lnB_4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=If4Ar9lnB_4&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v1058207911", "sha": "85a6146c1d8288828d2b57f44cacd43d8c653b6f", "translated_description": "Figure out how to calculate an equivalent and how it relates to a mole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/If4Ar9lnB_4/hqdefault.jpg", "youtube_id": "If4Ar9lnB_4", "content_kind": "Video", "readable_id": "what-is-an-equivalent"}, {"translated_youtube_id": "AsqEkF7hcII", "relative_url": "/video/the-mole-and-avogadro-s-number", "has_questions": false, "keywords": "mole, chemistry, avogadro's, number", "ka_url": "http://www.khanacademy.org/video/the-mole-and-avogadro-s-number", "duration": 584, "translated_title": "The mole and avogadro's number", "translated_description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "id": "364061", "description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "title": "The mole and avogadro's number", "progress_key": "v364061", "edit_slug": "edit/v/364061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "extra_properties": {"original_url": ""}, "node_slug": "v/the-mole-and-avogadro-s-number", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.m3u8/AsqEkF7hcII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AsqEkF7hcII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364061", "sha": "dc0e0001f8470b6a56a0f01a79ca801145863cc8", "translated_description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "image_url": "https://img.youtube.com/vi/AsqEkF7hcII/hqdefault.jpg", "youtube_id": "AsqEkF7hcII", "content_kind": "Video", "readable_id": "the-mole-and-avogadro-s-number"}, {"translated_youtube_id": "4VltXjR64SU", "relative_url": "/video/molarity-vs--molality", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/molarity-vs--molality", "duration": 483, "translated_title": "Molarity vs. molality", "translated_description_html": "Learn how molarity and molality differ! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058257462", "description_html": "Learn how molarity and molality differ! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Molarity vs. molality", "progress_key": "v1058257462", "edit_slug": "edit/v/1058257462", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn how molarity and molality differ! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/molarity-vs--molality", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-27T18:32:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4VltXjR64SU.mp4/4VltXjR64SU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4VltXjR64SU.mp4/4VltXjR64SU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4VltXjR64SU.m3u8/4VltXjR64SU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4VltXjR64SU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058257462", "sha": "8f66acf0bb252eed475e94c68320ee15efe79a0e", "translated_description": "Learn how molarity and molality differ! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/4VltXjR64SU/hqdefault.jpg", "youtube_id": "4VltXjR64SU", "content_kind": "Video", "readable_id": "molarity-vs--molality"}, {"translated_youtube_id": "_saunfB-wCQ", "relative_url": "/video/molarity-vs--osmolarity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/molarity-vs--osmolarity", "duration": 692, "translated_title": "Molarity vs. osmolarity", "translated_description_html": "Learn about osmoles and figure out how to calculate osmolarity really easily. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058477253", "description_html": "Learn about osmoles and figure out how to calculate osmolarity really easily. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Molarity vs. osmolarity", "progress_key": "v1058477253", "edit_slug": "edit/v/1058477253", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn about osmoles and figure out how to calculate osmolarity really easily. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/molarity-vs--osmolarity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-09-27T18:34:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_saunfB-wCQ.mp4/_saunfB-wCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_saunfB-wCQ.mp4/_saunfB-wCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_saunfB-wCQ.m3u8/_saunfB-wCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_saunfB-wCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058477253", "sha": "31f698f759b1d8e984f128ebf04b56558b37ed5f", "translated_description": "Learn about osmoles and figure out how to calculate osmolarity really easily. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/_saunfB-wCQ/hqdefault.jpg", "youtube_id": "_saunfB-wCQ", "content_kind": "Video", "readable_id": "molarity-vs--osmolarity"}, {"translated_youtube_id": "H-qREcJqUhY", "relative_url": "/video/calculate-your-own-osmolarity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculate-your-own-osmolarity", "duration": 779, "translated_title": "Calculate your own osmolarity", "translated_description_html": "Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058451242", "description_html": "Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Calculate your own osmolarity", "progress_key": "v1058451242", "edit_slug": "edit/v/1058451242", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/calculate-your-own-osmolarity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-09-27T18:33:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H-qREcJqUhY.mp4/H-qREcJqUhY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H-qREcJqUhY.mp4/H-qREcJqUhY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H-qREcJqUhY.m3u8/H-qREcJqUhY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H-qREcJqUhY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058451242", "sha": "7a303c6bd7af56f0d3930732e6c46506cb81290c", "translated_description": "Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/H-qREcJqUhY/hqdefault.jpg", "youtube_id": "H-qREcJqUhY", "content_kind": "Video", "readable_id": "calculate-your-own-osmolarity"}, {"translated_youtube_id": "o_Bb43LApog", "relative_url": "/video/molarity--molality--osmolarity--osmolality--and-tonicity---what-s-the-difference", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/molarity--molality--osmolarity--osmolality--and-tonicity---what-s-the-difference", "duration": 244, "translated_title": "Molarity, molality, osmolarity, osmolality, and tonicity - what's the difference?", "translated_description_html": "See how each of these terms tells us something different about a solution. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1057946910", "description_html": "See how each of these terms tells us something different about a solution. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Molarity, molality, osmolarity, osmolality, and tonicity - what's the difference?", "progress_key": "v1057946910", "edit_slug": "edit/v/1057946910", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how each of these terms tells us something different about a solution. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/molarity--molality--osmolarity--osmolality--and-tonicity---what-s-the-difference", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-09-27T18:34:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o_Bb43LApog.mp4/o_Bb43LApog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o_Bb43LApog.mp4/o_Bb43LApog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o_Bb43LApog.m3u8/o_Bb43LApog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o_Bb43LApog&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1057946910", "sha": "5359ebeb3a6fe62f195071e759b32a0f73af3536", "translated_description": "See how each of these terms tells us something different about a solution. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/o_Bb43LApog/hqdefault.jpg", "youtube_id": "o_Bb43LApog", "content_kind": "Video", "readable_id": "molarity--molality--osmolarity--osmolality--and-tonicity---what-s-the-difference"}, {"translated_youtube_id": "VsW6NXZIUCQ", "relative_url": "/video/tonicity---comparing-2-solutions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tonicity---comparing-2-solutions", "duration": 663, "translated_title": "Tonicity - comparing 2 solutions", "translated_description_html": "Find out how tonicity is determined by ions that don't move across membranes and how it affects the movement of water. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1058446306", "description_html": "Find out how tonicity is determined by ions that don't move across membranes and how it affects the movement of water. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Tonicity - comparing 2 solutions", "progress_key": "v1058446306", "edit_slug": "edit/v/1058446306", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how tonicity is determined by ions that don't move across membranes and how it affects the movement of water. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/tonicity---comparing-2-solutions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-27T18:35:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VsW6NXZIUCQ.mp4/VsW6NXZIUCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VsW6NXZIUCQ.mp4/VsW6NXZIUCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VsW6NXZIUCQ.m3u8/VsW6NXZIUCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VsW6NXZIUCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1058446306", "sha": "bb6aaf23a7d151d5e78724cd26608bea3ff1ed1f", "translated_description": "Find out how tonicity is determined by ions that don't move across membranes and how it affects the movement of water. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/VsW6NXZIUCQ/hqdefault.jpg", "youtube_id": "VsW6NXZIUCQ", "content_kind": "Video", "readable_id": "tonicity---comparing-2-solutions"}], "twitter_url": "", "translated_description": "Ever wonder about your lab values and what they mean? Lab values measure amounts of electrolytes or cells in your blood and occasionally tell you about how hormones and enzymes are working! Dive deeper and get a good understanding of concentrations as well!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Ever wonder about your lab values and what they mean? Lab values measure amounts of electrolytes or cells in your blood and occasionally tell you about how hormones and enzymes are working! Dive deeper and get a good understanding of concentrations as well!", "x_pos": 0.0, "node_slug": "lab-values", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1f8c66c8", "topic_page_url": "/science/healthcare-and-medicine/lab-values", "extended_slug": "science/healthcare-and-medicine/lab-values", "slug": "lab-values", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "082062af883f0c7594436a2b4a7229fddd6d56a3", "standalone_title": "Lab Values and Concentrations", "y_pos": 0.0, "current_revision_key": "082062af883f0c7594436a2b4a7229fddd6d56a3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/heart-disease-and-stroke", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/heart-disease-and-stroke", "translated_standalone_title": "Heart Disease and Stroke", "translated_title": "Heart disease and stroke", "gplus_url": "", "id": "x071ca719", "old_key_name": "zhAc23byzwDa0GPiAtAuKoup3s0gyYqdJ9uFxZzz", "hide": false, "title": "Heart disease and stroke", "child_data": [{"kind": "Video", "id": 184533578}, {"kind": "Video", "id": 53625898}, {"kind": "Video", "id": 53625899}, {"kind": "Video", "id": 56245182}], "children": [{"translated_youtube_id": "vYnreB1duro", "relative_url": "/video/heart-disease-and-heart-attacks", "has_questions": false, "keywords": "myocardial, infarction, ischemia, thrombosis, embolism, marquee", "ka_url": "http://www.khanacademy.org/video/heart-disease-and-heart-attacks", "duration": 741, "translated_title": "Heart disease and heart attacks", "translated_description_html": "Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest. Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video. Licensed under CC-BY-SA", "id": "184533578", "description_html": "Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest. Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video. Licensed under CC-BY-SA", "title": "Heart disease and heart attacks", "progress_key": "v184533578", "edit_slug": "edit/v/184533578", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest. Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video. Licensed under CC-BY-SA", "extra_properties": {"original_url": ""}, "node_slug": "v/heart-disease-and-heart-attacks", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-02T23:27:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vYnreB1duro.mp4/vYnreB1duro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vYnreB1duro.mp4/vYnreB1duro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vYnreB1duro.m3u8/vYnreB1duro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vYnreB1duro&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v184533578", "sha": "869f287fd1b35d4864c8d45caeaee88bda737e93", "translated_description": "Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest. Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video. Licensed under CC-BY-SA", "image_url": "https://img.youtube.com/vi/vYnreB1duro/hqdefault.jpg", "youtube_id": "vYnreB1duro", "content_kind": "Video", "readable_id": "heart-disease-and-heart-attacks"}, {"translated_youtube_id": "h0207xMD6b8", "relative_url": "/video/thrombo-emboli-and-thromboembolisms", "has_questions": false, "keywords": "thrombosis, embolism", "ka_url": "http://www.khanacademy.org/video/thrombo-emboli-and-thromboembolisms", "duration": 304, "translated_title": "Thrombo-emboli and thromboembolisms", "translated_description_html": "Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)", "id": "53625898", "description_html": "Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)", "title": "Thrombo-emboli and thromboembolisms", "progress_key": "v53625898", "edit_slug": "edit/v/53625898", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)", "extra_properties": null, "node_slug": "v/thrombo-emboli-and-thromboembolisms", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-04-06T23:59:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h0207xMD6b8.mp4/h0207xMD6b8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h0207xMD6b8.mp4/h0207xMD6b8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h0207xMD6b8.m3u8/h0207xMD6b8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h0207xMD6b8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v53625898", "sha": "a29d05ef739868ec3169dbd56bbbe65a17009080", "translated_description": "Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)", "image_url": "https://img.youtube.com/vi/h0207xMD6b8/hqdefault.jpg", "youtube_id": "h0207xMD6b8", "content_kind": "Video", "readable_id": "thrombo-emboli-and-thromboembolisms"}, {"translated_youtube_id": "3858MaULDdI", "relative_url": "/video/stenosis--ischemia-and-heart-failure", "has_questions": false, "keywords": "heart, coronary, disease, myocardial, infarction", "ka_url": "http://www.khanacademy.org/video/stenosis--ischemia-and-heart-failure", "duration": 473, "translated_title": "Stenosis, ischemia and heart failure", "translated_description_html": "Clarifying a bunch of medical terms around heart disease", "id": "53625899", "description_html": "Clarifying a bunch of medical terms around heart disease", "title": "Stenosis, ischemia and heart failure", "progress_key": "v53625899", "edit_slug": "edit/v/53625899", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Clarifying a bunch of medical terms around heart disease", "extra_properties": null, "node_slug": "v/stenosis--ischemia-and-heart-failure", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-06T23:59:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3858MaULDdI.mp4/3858MaULDdI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3858MaULDdI.mp4/3858MaULDdI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3858MaULDdI.m3u8/3858MaULDdI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3858MaULDdI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v53625899", "sha": "da2ad7d4c04f762a37eb84ae98695917a9e487a4", "translated_description": "Clarifying a bunch of medical terms around heart disease", "image_url": "https://img.youtube.com/vi/3858MaULDdI/hqdefault.jpg", "youtube_id": "3858MaULDdI", "content_kind": "Video", "readable_id": "stenosis--ischemia-and-heart-failure"}, {"translated_youtube_id": "xbyfeEW56Nc", "relative_url": "/video/strokes", "has_questions": false, "keywords": "hemorrhagic, ischemic, strokes", "ka_url": "http://www.khanacademy.org/video/strokes", "duration": 368, "translated_title": "Strokes", "translated_description_html": "Basics of strokes", "id": "56245182", "description_html": "Basics of strokes", "title": "Strokes", "progress_key": "v56245182", "edit_slug": "edit/v/56245182", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of strokes", "extra_properties": null, "node_slug": "v/strokes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-09T23:59:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xbyfeEW56Nc.mp4/xbyfeEW56Nc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xbyfeEW56Nc.mp4/xbyfeEW56Nc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xbyfeEW56Nc.m3u8/xbyfeEW56Nc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xbyfeEW56Nc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v56245182", "sha": "5264dd76c7af5f63a30d4c2d6bee6f5610573b1a", "translated_description": "Basics of strokes", "image_url": "https://img.youtube.com/vi/xbyfeEW56Nc/hqdefault.jpg", "youtube_id": "xbyfeEW56Nc", "content_kind": "Video", "readable_id": "strokes"}], "twitter_url": "", "translated_description": "Find out what can cause a heart disease and stroke, and how the two are related!", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out what can cause a heart disease and stroke, and how the two are related!", "x_pos": 0.0, "node_slug": "heart-disease-and-stroke", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax071ca719", "topic_page_url": "/science/healthcare-and-medicine/heart-disease-and-stroke", "extended_slug": "science/healthcare-and-medicine/heart-disease-and-stroke", "slug": "heart-disease-and-stroke", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8584dbc459cc94c32537ce911416a229108d20e7", "standalone_title": "Heart Disease and Stroke", "y_pos": 0.0, "current_revision_key": "8584dbc459cc94c32537ce911416a229108d20e7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/heart-muscle-contraction", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/heart-muscle-contraction", "translated_standalone_title": "Heart Muscle Contraction", "translated_title": "Heart muscle contraction", "gplus_url": "", "id": "xe1a3ead8", "old_key_name": "oWtyhE_Cyj1mmwCrAIcPFPsEhiTEaC-mQA_FmhkX", "hide": false, "title": "Heart muscle contraction", "child_data": [{"kind": "Video", "id": 1097595603}, {"kind": "Video", "id": 1097394824}, {"kind": "Video", "id": 24004}, {"kind": "Video", "id": 24006}, {"kind": "Video", "id": 1101443158}, {"kind": "Video", "id": 1101414195}, {"kind": "Video", "id": 1117437512}], "children": [{"translated_youtube_id": "bwOE1MEginA", "relative_url": "/video/three-types-of-muscle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/three-types-of-muscle", "duration": 689, "translated_title": "Three types of muscle", "translated_description_html": "

Understanding the structure of a muscle cell.<\/p>\n", "id": "1097595603", "description_html": "

Understanding the structure of a muscle cell.<\/p>\n", "title": "Three types of muscle", "progress_key": "v1097595603", "edit_slug": "edit/v/1097595603", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the structure of a muscle cell.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/three-types-of-muscle", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2012-10-21T03:38:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.mp4/bwOE1MEginA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.mp4/bwOE1MEginA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.m3u8/bwOE1MEginA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bwOE1MEginA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1097595603", "sha": "e74f90d9bed3ab3c9c705402847e6d57864c60a1", "translated_description": "Understanding the structure of a muscle cell.\n", "image_url": "https://img.youtube.com/vi/bwOE1MEginA/hqdefault.jpg", "youtube_id": "bwOE1MEginA", "content_kind": "Video", "readable_id": "three-types-of-muscle"}, {"translated_youtube_id": "__afuK1CMpQ", "relative_url": "/video/heart-cells-up-close", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/heart-cells-up-close", "duration": 840, "translated_title": "Heart cells up close!", "translated_description_html": "Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1097394824", "description_html": "Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Heart cells up close!", "progress_key": "v1097394824", "edit_slug": "edit/v/1097394824", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/heart-cells-up-close", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-21T03:39:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/__afuK1CMpQ.mp4/__afuK1CMpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/__afuK1CMpQ.mp4/__afuK1CMpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/__afuK1CMpQ.m3u8/__afuK1CMpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=__afuK1CMpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1097394824", "sha": "ce25a4c4eff1d967fe67734d42e7ee8ba7c36614", "translated_description": "Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/__afuK1CMpQ/hqdefault.jpg", "youtube_id": "__afuK1CMpQ", "content_kind": "Video", "readable_id": "heart-cells-up-close"}, {"translated_youtube_id": "zopoN2i7ALQ", "relative_url": "/video/myosin-and-actin", "has_questions": false, "keywords": "myosin, actin, muscle", "ka_url": "http://www.khanacademy.org/video/myosin-and-actin", "duration": 578, "translated_title": "Myosin and actin", "translated_description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "id": "24004", "description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "title": "Myosin and actin", "progress_key": "v24004", "edit_slug": "edit/v/24004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How myosin and actin interact to produce mechanical force. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/myosin-and-actin", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.m3u8/zopoN2i7ALQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zopoN2i7ALQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24004", "sha": "e0ea7897279cd6c52c8bd1d9698fee0e303ed707", "translated_description": "How myosin and actin interact to produce mechanical force. \n", "image_url": "https://img.youtube.com/vi/zopoN2i7ALQ/hqdefault.jpg", "youtube_id": "zopoN2i7ALQ", "content_kind": "Video", "readable_id": "myosin-and-actin"}, {"translated_youtube_id": "LiOfeSsjrB8", "relative_url": "/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "has_questions": false, "keywords": "tropomyosin, troponin, calcium, ion, muscle, contraction", "ka_url": "http://www.khanacademy.org/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "duration": 562, "translated_title": "Tropomyosin and troponin and their role in regulating muscle contraction", "translated_description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "id": "24006", "description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "title": "Tropomyosin and troponin and their role in regulating muscle contraction", "progress_key": "v24006", "edit_slug": "edit/v/24006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.m3u8/LiOfeSsjrB8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LiOfeSsjrB8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24006", "sha": "d874aff2d2911cdef10b5ff719afb5be505782a7", "translated_description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "image_url": "https://img.youtube.com/vi/LiOfeSsjrB8/hqdefault.jpg", "youtube_id": "LiOfeSsjrB8", "content_kind": "Video", "readable_id": "tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction"}, {"translated_youtube_id": "vv6WBeqw2Nc", "relative_url": "/video/calcium-puts-myosin-to-work", "has_questions": false, "keywords": "calcium, myosin", "ka_url": "http://www.khanacademy.org/video/calcium-puts-myosin-to-work", "duration": 603, "translated_title": "Calcium puts myosin to work", "translated_description_html": "

See exactly how Calcium binds Troponin-C and allows Myosin to do some work. <\/span><\/p>\n", "id": "1101443158", "description_html": "

See exactly how Calcium binds Troponin-C and allows Myosin to do some work. <\/span><\/p>\n", "title": "Calcium puts myosin to work", "progress_key": "v1101443158", "edit_slug": "edit/v/1101443158", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See exactly how Calcium binds Troponin-C and allows Myosin to do some work. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/calcium-puts-myosin-to-work", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2012-10-23T03:54:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.mp4/vv6WBeqw2Nc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.mp4/vv6WBeqw2Nc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.m3u8/vv6WBeqw2Nc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vv6WBeqw2Nc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1101443158", "sha": "815c564608c60a97eb41babc8db8d1b17455f2c5", "translated_description": "See exactly how Calcium binds Troponin-C and allows Myosin to do some work. \n", "image_url": "https://img.youtube.com/vi/vv6WBeqw2Nc/hqdefault.jpg", "youtube_id": "vv6WBeqw2Nc", "content_kind": "Video", "readable_id": "calcium-puts-myosin-to-work"}, {"translated_youtube_id": "xAL0tbYU8QU", "relative_url": "/video/sympathetic-nerves-affect-myosin-activity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sympathetic-nerves-affect-myosin-activity", "duration": 722, "translated_title": "Sympathetic nerves affect myosin activity", "translated_description_html": "Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1101414195", "description_html": "Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Sympathetic nerves affect myosin activity", "progress_key": "v1101414195", "edit_slug": "edit/v/1101414195", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/sympathetic-nerves-affect-myosin-activity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-23T03:55:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xAL0tbYU8QU.mp4/xAL0tbYU8QU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xAL0tbYU8QU.mp4/xAL0tbYU8QU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xAL0tbYU8QU.m3u8/xAL0tbYU8QU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xAL0tbYU8QU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1101414195", "sha": "567d9dc89c7272dca5c275540b9f5a90643cbfe5", "translated_description": "Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/xAL0tbYU8QU/hqdefault.jpg", "youtube_id": "xAL0tbYU8QU", "content_kind": "Video", "readable_id": "sympathetic-nerves-affect-myosin-activity"}, {"translated_youtube_id": "cuwMrVoG2V8", "relative_url": "/video/why-doesn-t-the-heart-rip", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-doesn-t-the-heart-rip", "duration": 626, "translated_title": "Why doesn't the heart rip?", "translated_description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117437512", "description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Why doesn't the heart rip?", "progress_key": "v1117437512", "edit_slug": "edit/v/1117437512", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/why-doesn-t-the-heart-rip", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-01T04:23:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.m3u8/cuwMrVoG2V8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cuwMrVoG2V8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117437512", "sha": "d06d23c0eac470b1cb9e7e4ac3c4b359d44e67bd", "translated_description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cuwMrVoG2V8/hqdefault.jpg", "youtube_id": "cuwMrVoG2V8", "content_kind": "Video", "readable_id": "why-doesn-t-the-heart-rip"}], "twitter_url": "", "translated_description": "Find out more about heart muscles and what happens when they contract.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out more about heart muscles and what happens when they contract.", "x_pos": 0.0, "node_slug": "heart-muscle-contraction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe1a3ead8", "topic_page_url": "/science/healthcare-and-medicine/heart-muscle-contraction", "extended_slug": "science/healthcare-and-medicine/heart-muscle-contraction", "slug": "heart-muscle-contraction", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b88a0acf6d8e2dba0f3aa3ae42b81ca22558dfb2", "standalone_title": "Heart Muscle Contraction", "y_pos": 0.0, "current_revision_key": "b88a0acf6d8e2dba0f3aa3ae42b81ca22558dfb2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/heart-depolarization", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/heart-depolarization", "translated_standalone_title": "New Topic", "translated_title": "Heart depolarization", "gplus_url": "", "id": "xb0d8cc8f", "old_key_name": "Qg29DGfJkmF5LLdjQ8FgdwRf87RoM4WAzsZlfaVx", "hide": false, "title": "Heart depolarization", "child_data": [{"kind": "Video", "id": 1077809718}, {"kind": "Video", "id": 1077988383}, {"kind": "Video", "id": 1078024276}, {"kind": "Video", "id": 1077916714}, {"kind": "Video", "id": 1078059064}, {"kind": "Video", "id": 1089536367}, {"kind": "Video", "id": 1078012364}, {"kind": "Video", "id": 1077956571}, {"kind": "Video", "id": 1084652257}, {"kind": "Video", "id": 1089349882}, {"kind": "Video", "id": 1084416478}], "children": [{"translated_youtube_id": "PtKAeihnbv0", "relative_url": "/video/membrane-potentials---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/membrane-potentials---part-1", "duration": 502, "translated_title": "Membrane potentials - part 1", "translated_description_html": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1077809718", "description_html": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Membrane potentials - part 1", "progress_key": "v1077809718", "edit_slug": "edit/v/1077809718", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/membrane-potentials---part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-09T13:58:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PtKAeihnbv0.mp4/PtKAeihnbv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PtKAeihnbv0.mp4/PtKAeihnbv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PtKAeihnbv0.m3u8/PtKAeihnbv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PtKAeihnbv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077809718", "sha": "1c7dbb7c5374c025c9803b021470936f946e998d", "translated_description": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/PtKAeihnbv0/hqdefault.jpg", "youtube_id": "PtKAeihnbv0", "content_kind": "Video", "readable_id": "membrane-potentials---part-1"}, {"translated_youtube_id": "eROhIFBGKuU", "relative_url": "/video/membrane-potentials---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/membrane-potentials---part-2", "duration": 525, "translated_title": "Membrane potentials - part 2", "translated_description_html": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1077988383", "description_html": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Membrane potentials - part 2", "progress_key": "v1077988383", "edit_slug": "edit/v/1077988383", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/membrane-potentials---part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-09T14:02:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eROhIFBGKuU.mp4/eROhIFBGKuU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eROhIFBGKuU.mp4/eROhIFBGKuU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eROhIFBGKuU.m3u8/eROhIFBGKuU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eROhIFBGKuU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077988383", "sha": "5038a75b605c6df7dd7e7a9da2af5ba339af065b", "translated_description": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/eROhIFBGKuU/hqdefault.jpg", "youtube_id": "eROhIFBGKuU", "content_kind": "Video", "readable_id": "membrane-potentials---part-2"}, {"translated_youtube_id": "920PtNX-WCE", "relative_url": "/video/permeability-and-membrane-potentials", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/permeability-and-membrane-potentials", "duration": 762, "translated_title": "Permeability and membrane potentials", "translated_description_html": "Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1078024276", "description_html": "Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Permeability and membrane potentials", "progress_key": "v1078024276", "edit_slug": "edit/v/1078024276", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/permeability-and-membrane-potentials", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-10-09T14:02:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/920PtNX-WCE.mp4/920PtNX-WCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/920PtNX-WCE.mp4/920PtNX-WCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/920PtNX-WCE.m3u8/920PtNX-WCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=920PtNX-WCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1078024276", "sha": "e5d28e3749a9a1e0805315c865bea0072c0c7e50", "translated_description": "Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/920PtNX-WCE/hqdefault.jpg", "youtube_id": "920PtNX-WCE", "content_kind": "Video", "readable_id": "permeability-and-membrane-potentials"}, {"translated_youtube_id": "OQpFFiLdE0E", "relative_url": "/video/action-potentials-in-pacemaker-cells", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/action-potentials-in-pacemaker-cells", "duration": 940, "translated_title": "Action potentials in pacemaker cells", "translated_description_html": "Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1077916714", "description_html": "Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Action potentials in pacemaker cells", "progress_key": "v1077916714", "edit_slug": "edit/v/1077916714", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/action-potentials-in-pacemaker-cells", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-09T13:57:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.mp4/OQpFFiLdE0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.mp4/OQpFFiLdE0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.m3u8/OQpFFiLdE0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OQpFFiLdE0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077916714", "sha": "0d435cfc29730dbf89e1d21bca9a9d54aacf2bc6", "translated_description": "Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/OQpFFiLdE0E/hqdefault.jpg", "youtube_id": "OQpFFiLdE0E", "content_kind": "Video", "readable_id": "action-potentials-in-pacemaker-cells"}, {"translated_youtube_id": "rIVCuC-Etc0", "relative_url": "/video/action-potentials-in-cardiac-myocytes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/action-potentials-in-cardiac-myocytes", "duration": 731, "translated_title": "Action potentials in cardiac myocytes", "translated_description_html": "See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1078059064", "description_html": "See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Action potentials in cardiac myocytes", "progress_key": "v1078059064", "edit_slug": "edit/v/1078059064", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/action-potentials-in-cardiac-myocytes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-10-09T13:56:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rIVCuC-Etc0.mp4/rIVCuC-Etc0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rIVCuC-Etc0.mp4/rIVCuC-Etc0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rIVCuC-Etc0.m3u8/rIVCuC-Etc0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rIVCuC-Etc0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1078059064", "sha": "06f168efc177cf37d15a0e8a24205282707b52d2", "translated_description": "See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/rIVCuC-Etc0/hqdefault.jpg", "youtube_id": "rIVCuC-Etc0", "content_kind": "Video", "readable_id": "action-potentials-in-cardiac-myocytes"}, {"translated_youtube_id": "j2iY1cT2gEE", "relative_url": "/video/reseting-cardiac-concentration-gradients", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reseting-cardiac-concentration-gradients", "duration": 898, "translated_title": "Reseting cardiac concentration gradients", "translated_description_html": "Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1089536367", "description_html": "Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Reseting cardiac concentration gradients", "progress_key": "v1089536367", "edit_slug": "edit/v/1089536367", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/reseting-cardiac-concentration-gradients", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-16T03:28:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j2iY1cT2gEE.mp4/j2iY1cT2gEE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j2iY1cT2gEE.mp4/j2iY1cT2gEE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j2iY1cT2gEE.m3u8/j2iY1cT2gEE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j2iY1cT2gEE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1089536367", "sha": "1b3a554bcb7f08a7a922d0837450916d1df8f9b8", "translated_description": "Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/j2iY1cT2gEE/hqdefault.jpg", "youtube_id": "j2iY1cT2gEE", "content_kind": "Video", "readable_id": "reseting-cardiac-concentration-gradients"}, {"translated_youtube_id": "7K2icszdxQc", "relative_url": "/video/electrical-system-of-the-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electrical-system-of-the-heart", "duration": 583, "translated_title": "Electrical system of the heart", "translated_description_html": "See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1078012364", "description_html": "See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Electrical system of the heart", "progress_key": "v1078012364", "edit_slug": "edit/v/1078012364", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/electrical-system-of-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-09T13:59:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7K2icszdxQc.mp4/7K2icszdxQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7K2icszdxQc.mp4/7K2icszdxQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7K2icszdxQc.m3u8/7K2icszdxQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7K2icszdxQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1078012364", "sha": "093908388cf2b67189ef4f752eb5300b2ecad970", "translated_description": "See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7K2icszdxQc/hqdefault.jpg", "youtube_id": "7K2icszdxQc", "content_kind": "Video", "readable_id": "electrical-system-of-the-heart"}, {"translated_youtube_id": "s5smas8uum4", "relative_url": "/video/depolarization-waves-flowing-through-the-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/depolarization-waves-flowing-through-the-heart", "duration": 704, "translated_title": "Depolarization waves flowing through the heart", "translated_description_html": "Get a clearer idea of what a \"Depolarization Wave\" means and how it goes from cell to cell through the entire heart! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1077956571", "description_html": "Get a clearer idea of what a \"Depolarization Wave\" means and how it goes from cell to cell through the entire heart! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Depolarization waves flowing through the heart", "progress_key": "v1077956571", "edit_slug": "edit/v/1077956571", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Get a clearer idea of what a \"Depolarization Wave\" means and how it goes from cell to cell through the entire heart! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/depolarization-waves-flowing-through-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-09T13:58:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s5smas8uum4.mp4/s5smas8uum4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s5smas8uum4.mp4/s5smas8uum4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s5smas8uum4.m3u8/s5smas8uum4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s5smas8uum4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077956571", "sha": "c6fae6ce85c9c078ec2f5131d8d37dd1eae90063", "translated_description": "Get a clearer idea of what a \"Depolarization Wave\" means and how it goes from cell to cell through the entire heart! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/s5smas8uum4/hqdefault.jpg", "youtube_id": "s5smas8uum4", "content_kind": "Video", "readable_id": "depolarization-waves-flowing-through-the-heart"}, {"translated_youtube_id": "_yR9DBHMFXE", "relative_url": "/video/a-race-to-keep-pace", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/a-race-to-keep-pace", "duration": 805, "translated_title": "A race to keep pace!", "translated_description_html": "Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1084652257", "description_html": "Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "A race to keep pace!", "progress_key": "v1084652257", "edit_slug": "edit/v/1084652257", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/a-race-to-keep-pace", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-12T22:12:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_yR9DBHMFXE.mp4/_yR9DBHMFXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_yR9DBHMFXE.mp4/_yR9DBHMFXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_yR9DBHMFXE.m3u8/_yR9DBHMFXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_yR9DBHMFXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1084652257", "sha": "b1149e7ea2ca41b5fe198b7ee28afc47e71c81f6", "translated_description": "Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/_yR9DBHMFXE/hqdefault.jpg", "youtube_id": "_yR9DBHMFXE", "content_kind": "Video", "readable_id": "a-race-to-keep-pace"}, {"translated_youtube_id": "7TafYJLjhY4", "relative_url": "/video/thinking-about-heartbeats", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/thinking-about-heartbeats", "duration": 570, "translated_title": "Thinking about heartbeats", "translated_description_html": "Find out what happens when things move very slowly through the AV Node! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1089349882", "description_html": "Find out what happens when things move very slowly through the AV Node! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Thinking about heartbeats", "progress_key": "v1089349882", "edit_slug": "edit/v/1089349882", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out what happens when things move very slowly through the AV Node! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/thinking-about-heartbeats", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-16T03:27:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7TafYJLjhY4.mp4/7TafYJLjhY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7TafYJLjhY4.mp4/7TafYJLjhY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7TafYJLjhY4.m3u8/7TafYJLjhY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7TafYJLjhY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1089349882", "sha": "1ccd9dac690c2086625a7f59289fd7d3284d52c7", "translated_description": "Find out what happens when things move very slowly through the AV Node! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/7TafYJLjhY4/hqdefault.jpg", "youtube_id": "7TafYJLjhY4", "content_kind": "Video", "readable_id": "thinking-about-heartbeats"}, {"translated_youtube_id": "8zrJxuVW3u4", "relative_url": "/video/new-perspective-on-the-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/new-perspective-on-the-heart", "duration": 532, "translated_title": "New perspective on the heart", "translated_description_html": "Take a look at the heart in cross section, looking down at it from the top! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1084416478", "description_html": "Take a look at the heart in cross section, looking down at it from the top! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "New perspective on the heart", "progress_key": "v1084416478", "edit_slug": "edit/v/1084416478", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Take a look at the heart in cross section, looking down at it from the top! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/new-perspective-on-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-12T22:13:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8zrJxuVW3u4.mp4/8zrJxuVW3u4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8zrJxuVW3u4.mp4/8zrJxuVW3u4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8zrJxuVW3u4.m3u8/8zrJxuVW3u4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8zrJxuVW3u4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1084416478", "sha": "89fe11dcbfb63e16e436f274922b3b1a9e8cd497", "translated_description": "Take a look at the heart in cross section, looking down at it from the top! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/8zrJxuVW3u4/hqdefault.jpg", "youtube_id": "8zrJxuVW3u4", "content_kind": "Video", "readable_id": "new-perspective-on-the-heart"}], "twitter_url": "", "translated_description": "Check out the flow of positive charge through the heart that happens every time your heart beats! Learn how the heart is able to keep a regular rate and rhythm throughout your life.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Check out the flow of positive charge through the heart that happens every time your heart beats! Learn how the heart is able to keep a regular rate and rhythm throughout your life.", "x_pos": 0.0, "node_slug": "heart-depolarization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb0d8cc8f", "topic_page_url": "/science/healthcare-and-medicine/heart-depolarization", "extended_slug": "science/healthcare-and-medicine/heart-depolarization", "slug": "heart-depolarization", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0decaeaa74baa2180557d5d46ed57c4012223854", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "0decaeaa74baa2180557d5d46ed57c4012223854", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/nerve-regulation-of-the-heart", "translated_standalone_title": "Nerve Regulation of the Heart", "translated_title": "Nerve regulation of the heart", "gplus_url": "", "id": "x4d0eb449", "old_key_name": "aSDeS2JueXgbkQppzxZSHXt6JMwjv9FTuILdri3A", "hide": false, "title": "Nerve regulation of the heart", "child_data": [{"kind": "Video", "id": 1087764117}, {"kind": "Video", "id": 1087636641}, {"kind": "Video", "id": 1089555286}, {"kind": "Video", "id": 1097662116}, {"kind": "Video", "id": 1097434701}], "children": [{"translated_youtube_id": "cmQtbpYihAI", "relative_url": "/video/changing-the-av-node-delay---chronotropic-effect", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/changing-the-av-node-delay---chronotropic-effect", "duration": 734, "translated_title": "Changing the AV node delay - chronotropic effect", "translated_description_html": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1087764117", "description_html": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Changing the AV node delay - chronotropic effect", "progress_key": "v1087764117", "edit_slug": "edit/v/1087764117", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/changing-the-av-node-delay---chronotropic-effect", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-15T05:11:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cmQtbpYihAI.mp4/cmQtbpYihAI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cmQtbpYihAI.mp4/cmQtbpYihAI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cmQtbpYihAI.m3u8/cmQtbpYihAI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cmQtbpYihAI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1087764117", "sha": "24fc1eb124a0e6f39ce744ee6e509a01cf39cde4", "translated_description": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cmQtbpYihAI/hqdefault.jpg", "youtube_id": "cmQtbpYihAI", "content_kind": "Video", "readable_id": "changing-the-av-node-delay---chronotropic-effect"}, {"translated_youtube_id": "3HvIKsQb6es", "relative_url": "/video/changing-the-heart-rate---chronotropic-effect", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/changing-the-heart-rate---chronotropic-effect", "duration": 722, "translated_title": "Changing the heart rate - chronotropic effect", "translated_description_html": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1087636641", "description_html": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Changing the heart rate - chronotropic effect", "progress_key": "v1087636641", "edit_slug": "edit/v/1087636641", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/changing-the-heart-rate---chronotropic-effect", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-15T05:11:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3HvIKsQb6es.mp4/3HvIKsQb6es.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3HvIKsQb6es.mp4/3HvIKsQb6es.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3HvIKsQb6es.m3u8/3HvIKsQb6es.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3HvIKsQb6es&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1087636641", "sha": "2a652daddac6fe165d21016cb87c2f9a97b2a14b", "translated_description": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/3HvIKsQb6es/hqdefault.jpg", "youtube_id": "3HvIKsQb6es", "content_kind": "Video", "readable_id": "changing-the-heart-rate---chronotropic-effect"}, {"translated_youtube_id": "0eu-3FIRRz8", "relative_url": "/video/increasing-ventricular-contractility---inotropic-effect", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/increasing-ventricular-contractility---inotropic-effect", "duration": 625, "translated_title": "Increasing ventricular contractility - inotropic effect", "translated_description_html": "Find out how the sympathetic nerves increase the heart's force of contraction and speed of relaxation! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1089555286", "description_html": "Find out how the sympathetic nerves increase the heart's force of contraction and speed of relaxation! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Increasing ventricular contractility - inotropic effect", "progress_key": "v1089555286", "edit_slug": "edit/v/1089555286", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Find out how the sympathetic nerves increase the heart's force of contraction and speed of relaxation! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/increasing-ventricular-contractility---inotropic-effect", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-16T03:31:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0eu-3FIRRz8.mp4/0eu-3FIRRz8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0eu-3FIRRz8.mp4/0eu-3FIRRz8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0eu-3FIRRz8.m3u8/0eu-3FIRRz8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0eu-3FIRRz8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1089555286", "sha": "a8e17feb6f797773f703758c88bab92013f02561", "translated_description": "Find out how the sympathetic nerves increase the heart's force of contraction and speed of relaxation! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/0eu-3FIRRz8/hqdefault.jpg", "youtube_id": "0eu-3FIRRz8", "content_kind": "Video", "readable_id": "increasing-ventricular-contractility---inotropic-effect"}, {"translated_youtube_id": "KiouveG278Y", "relative_url": "/video/autonomic-nervous-system-effects-on-the-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/autonomic-nervous-system-effects-on-the-heart", "duration": 376, "translated_title": "Autonomic nervous system effects on the heart", "translated_description_html": "Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1097662116", "description_html": "Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Autonomic nervous system effects on the heart", "progress_key": "v1097662116", "edit_slug": "edit/v/1097662116", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/autonomic-nervous-system-effects-on-the-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-21T03:45:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KiouveG278Y.mp4/KiouveG278Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KiouveG278Y.mp4/KiouveG278Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KiouveG278Y.m3u8/KiouveG278Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KiouveG278Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1097662116", "sha": "4f59682ba4ed35c5709f44fc747b87a400d51557", "translated_description": "Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/KiouveG278Y/hqdefault.jpg", "youtube_id": "KiouveG278Y", "content_kind": "Video", "readable_id": "autonomic-nervous-system-effects-on-the-heart"}, {"translated_youtube_id": "dqmaxkxInZ4", "relative_url": "/video/getting-a-new-heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/getting-a-new-heart", "duration": 446, "translated_title": "Getting a new heart", "translated_description_html": "Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1097434701", "description_html": "Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Getting a new heart", "progress_key": "v1097434701", "edit_slug": "edit/v/1097434701", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/getting-a-new-heart", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-21T03:45:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dqmaxkxInZ4.mp4/dqmaxkxInZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dqmaxkxInZ4.mp4/dqmaxkxInZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dqmaxkxInZ4.m3u8/dqmaxkxInZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dqmaxkxInZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1097434701", "sha": "f148476c056e3898875fb5f935f30c08cf54981e", "translated_description": "Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/dqmaxkxInZ4/hqdefault.jpg", "youtube_id": "dqmaxkxInZ4", "content_kind": "Video", "readable_id": "getting-a-new-heart"}], "twitter_url": "", "translated_description": "Learn how the sympathetic and parasympathetic nerves regulate your heart in so many different ways!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how the sympathetic and parasympathetic nerves regulate your heart in so many different ways!", "x_pos": 0.0, "node_slug": "nerve-regulation-of-the-heart", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d0eb449", "topic_page_url": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart", "extended_slug": "science/healthcare-and-medicine/nerve-regulation-of-the-heart", "slug": "nerve-regulation-of-the-heart", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "729926066f42643a68ab3eca5397444b020eef95", "standalone_title": "Nerve Regulation of the Heart", "y_pos": 0.0, "current_revision_key": "729926066f42643a68ab3eca5397444b020eef95", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/pressure-volume-loops", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/pressure-volume-loops", "translated_standalone_title": "Pressure Volume Loops", "translated_title": "Pressure volume loops", "gplus_url": "", "id": "xbc61f732", "old_key_name": "tWZnZKYBYMmwZo45xQ0Boq8eMXwR5XEKQbwi9GZ9", "hide": false, "title": "Pressure volume loops", "child_data": [{"kind": "Video", "id": 1117408699}, {"kind": "Video", "id": 1117388594}, {"kind": "Video", "id": 1117447604}, {"kind": "Video", "id": 1133156250}, {"kind": "Video", "id": 1133212041}, {"kind": "Video", "id": 1133106461}, {"kind": "Video", "id": 1133142260}, {"kind": "Video", "id": 1133137366}, {"kind": "Video", "id": 1132944890}, {"kind": "Video", "id": 1159115460}, {"kind": "Video", "id": 1133168259}, {"kind": "Video", "id": 1117437512}], "children": [{"translated_youtube_id": "XTF0-54yJMk", "relative_url": "/video/pressure-in-the-left-heart---part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pressure-in-the-left-heart---part-1", "duration": 899, "translated_title": "Pressure in the left heart - part 1", "translated_description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117408699", "description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Pressure in the left heart - part 1", "progress_key": "v1117408699", "edit_slug": "edit/v/1117408699", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/pressure-in-the-left-heart---part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-01T04:57:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XTF0-54yJMk.mp4/XTF0-54yJMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XTF0-54yJMk.mp4/XTF0-54yJMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XTF0-54yJMk.m3u8/XTF0-54yJMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XTF0-54yJMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117408699", "sha": "11fc5260a564f438ac0ef7a2389c08a06f61f339", "translated_description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/XTF0-54yJMk/hqdefault.jpg", "youtube_id": "XTF0-54yJMk", "content_kind": "Video", "readable_id": "pressure-in-the-left-heart---part-1"}, {"translated_youtube_id": "QM4f1vos6Vk", "relative_url": "/video/pressure-in-the-left-heart---part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pressure-in-the-left-heart---part-2", "duration": 764, "translated_title": "Pressure in the left heart - part 2", "translated_description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117388594", "description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Pressure in the left heart - part 2", "progress_key": "v1117388594", "edit_slug": "edit/v/1117388594", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/pressure-in-the-left-heart---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-11-01T04:58:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.mp4/QM4f1vos6Vk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.mp4/QM4f1vos6Vk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.m3u8/QM4f1vos6Vk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QM4f1vos6Vk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117388594", "sha": "9416f8d65d4429984a159af25690d96fa532587e", "translated_description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/QM4f1vos6Vk/hqdefault.jpg", "youtube_id": "QM4f1vos6Vk", "content_kind": "Video", "readable_id": "pressure-in-the-left-heart---part-2"}, {"translated_youtube_id": "E5PndKebh70", "relative_url": "/video/pressure-in-the-left-heart---part-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pressure-in-the-left-heart---part-3", "duration": 782, "translated_title": "Pressure in the left heart - part 3", "translated_description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117447604", "description_html": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Pressure in the left heart - part 3", "progress_key": "v1117447604", "edit_slug": "edit/v/1117447604", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/pressure-in-the-left-heart---part-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-01T04:59:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E5PndKebh70.mp4/E5PndKebh70.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E5PndKebh70.mp4/E5PndKebh70.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E5PndKebh70.m3u8/E5PndKebh70.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E5PndKebh70&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117447604", "sha": "bef6a00edeaa0be6bd32c34eceb267afaa8882c8", "translated_description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/E5PndKebh70/hqdefault.jpg", "youtube_id": "E5PndKebh70", "content_kind": "Video", "readable_id": "pressure-in-the-left-heart---part-3"}, {"translated_youtube_id": "SrL6TQbWKJE", "relative_url": "/video/left-ventricular-pressure-vs--time", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/left-ventricular-pressure-vs--time", "duration": 651, "translated_title": "Left ventricular pressure vs. time", "translated_description_html": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133156250", "description_html": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Left ventricular pressure vs. time", "progress_key": "v1133156250", "edit_slug": "edit/v/1133156250", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/left-ventricular-pressure-vs--time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-11-09T05:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.m3u8/SrL6TQbWKJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SrL6TQbWKJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133156250", "sha": "19d90858a3b20a7caf3c1f6e6c1309a03abfe457", "translated_description": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SrL6TQbWKJE/hqdefault.jpg", "youtube_id": "SrL6TQbWKJE", "content_kind": "Video", "readable_id": "left-ventricular-pressure-vs--time"}, {"translated_youtube_id": "cJLbnWBU09E", "relative_url": "/video/left-ventricular-volume-vs--time", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/left-ventricular-volume-vs--time", "duration": 541, "translated_title": "Left ventricular volume vs. time", "translated_description_html": "Left ventricular volume changes over time in a way that makes a curious looking graph. Learn more in this video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133212041", "description_html": "Left ventricular volume changes over time in a way that makes a curious looking graph. Learn more in this video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Left ventricular volume vs. time", "progress_key": "v1133212041", "edit_slug": "edit/v/1133212041", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Left ventricular volume changes over time in a way that makes a curious looking graph. Learn more in this video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/left-ventricular-volume-vs--time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-09T05:39:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cJLbnWBU09E.mp4/cJLbnWBU09E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cJLbnWBU09E.mp4/cJLbnWBU09E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cJLbnWBU09E.m3u8/cJLbnWBU09E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cJLbnWBU09E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133212041", "sha": "2619c9089bcbf16b383648fbfd99162bf07ab998", "translated_description": "Left ventricular volume changes over time in a way that makes a curious looking graph. Learn more in this video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cJLbnWBU09E/hqdefault.jpg", "youtube_id": "cJLbnWBU09E", "content_kind": "Video", "readable_id": "left-ventricular-volume-vs--time"}, {"translated_youtube_id": "R7_irilQ_-A", "relative_url": "/video/drawing-a-pressure-volume-loop", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawing-a-pressure-volume-loop", "duration": 544, "translated_title": "Drawing a pressure-volume loop", "translated_description_html": "Use the left ventricular pressure and volume information to put together a cool new graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133106461", "description_html": "Use the left ventricular pressure and volume information to put together a cool new graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Drawing a pressure-volume loop", "progress_key": "v1133106461", "edit_slug": "edit/v/1133106461", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Use the left ventricular pressure and volume information to put together a cool new graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/drawing-a-pressure-volume-loop", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-09T05:40:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R7_irilQ_-A.mp4/R7_irilQ_-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R7_irilQ_-A.mp4/R7_irilQ_-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R7_irilQ_-A.m3u8/R7_irilQ_-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R7_irilQ_-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133106461", "sha": "9f91c83f6248ceedf1cda69bbe1b3896188e8a78", "translated_description": "Use the left ventricular pressure and volume information to put together a cool new graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/R7_irilQ_-A/hqdefault.jpg", "youtube_id": "R7_irilQ_-A", "content_kind": "Video", "readable_id": "drawing-a-pressure-volume-loop"}, {"translated_youtube_id": "AnwPH5yU8rY", "relative_url": "/video/understanding-the-pressure-volume-loop", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/understanding-the-pressure-volume-loop", "duration": 558, "translated_title": "Understanding the pressure-volume loop", "translated_description_html": "Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133142260", "description_html": "Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Understanding the pressure-volume loop", "progress_key": "v1133142260", "edit_slug": "edit/v/1133142260", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/understanding-the-pressure-volume-loop", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-09T05:41:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AnwPH5yU8rY.mp4/AnwPH5yU8rY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AnwPH5yU8rY.mp4/AnwPH5yU8rY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AnwPH5yU8rY.m3u8/AnwPH5yU8rY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AnwPH5yU8rY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133142260", "sha": "9a25d2302b1940d65b7963e74cc853ec94096cbe", "translated_description": "Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/AnwPH5yU8rY/hqdefault.jpg", "youtube_id": "AnwPH5yU8rY", "content_kind": "Video", "readable_id": "understanding-the-pressure-volume-loop"}, {"translated_youtube_id": "h72iwhmB6zc", "relative_url": "/video/end-diastolic-pressure-volume-relationship--edpvr", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/end-diastolic-pressure-volume-relationship--edpvr", "duration": 598, "translated_title": "End diastolic pressure-volume relationship (EDPVR)", "translated_description_html": "Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133137366", "description_html": "Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "End diastolic pressure-volume relationship (EDPVR)", "progress_key": "v1133137366", "edit_slug": "edit/v/1133137366", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/end-diastolic-pressure-volume-relationship--edpvr", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-09T05:41:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h72iwhmB6zc.mp4/h72iwhmB6zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h72iwhmB6zc.mp4/h72iwhmB6zc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h72iwhmB6zc.m3u8/h72iwhmB6zc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h72iwhmB6zc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133137366", "sha": "87cac7fc0a5fc2e5332a217b096b99819c2d206e", "translated_description": "Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/h72iwhmB6zc/hqdefault.jpg", "youtube_id": "h72iwhmB6zc", "content_kind": "Video", "readable_id": "end-diastolic-pressure-volume-relationship--edpvr"}, {"translated_youtube_id": "byj5VLuLS6c", "relative_url": "/video/end-systolic-pressure-volume-relationship--espvr", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/end-systolic-pressure-volume-relationship--espvr", "duration": 623, "translated_title": "End systolic pressure-volume relationship (ESPVR)", "translated_description_html": "Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1132944890", "description_html": "Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "End systolic pressure-volume relationship (ESPVR)", "progress_key": "v1132944890", "edit_slug": "edit/v/1132944890", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/end-systolic-pressure-volume-relationship--espvr", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-09T05:42:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/byj5VLuLS6c.mp4/byj5VLuLS6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/byj5VLuLS6c.mp4/byj5VLuLS6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/byj5VLuLS6c.m3u8/byj5VLuLS6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=byj5VLuLS6c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1132944890", "sha": "b686ea03c1f24ac343af3842cdac61e637b5b4d9", "translated_description": "Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/byj5VLuLS6c/hqdefault.jpg", "youtube_id": "byj5VLuLS6c", "content_kind": "Video", "readable_id": "end-systolic-pressure-volume-relationship--espvr"}, {"translated_youtube_id": "BdlkhDHbN98", "relative_url": "/video/reimagine-the-pressure-volume-relationship", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reimagine-the-pressure-volume-relationship", "duration": 818, "translated_title": "Reimagine the pressure volume relationship", "translated_description_html": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1159115460", "description_html": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Reimagine the pressure volume relationship", "progress_key": "v1159115460", "edit_slug": "edit/v/1159115460", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/reimagine-the-pressure-volume-relationship", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-19T15:06:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.mp4/BdlkhDHbN98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.mp4/BdlkhDHbN98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.m3u8/BdlkhDHbN98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BdlkhDHbN98&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159115460", "sha": "3e365161500434092949c4d4cdb2d9e46f645c49", "translated_description": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/BdlkhDHbN98/hqdefault.jpg", "youtube_id": "BdlkhDHbN98", "content_kind": "Video", "readable_id": "reimagine-the-pressure-volume-relationship"}, {"translated_youtube_id": "DLD23lPv8eo", "relative_url": "/video/what-is-preload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-preload", "duration": 813, "translated_title": "What is preload?", "translated_description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133168259", "description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is preload?", "progress_key": "v1133168259", "edit_slug": "edit/v/1133168259", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-preload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-09T05:42:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.m3u8/DLD23lPv8eo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DLD23lPv8eo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133168259", "sha": "db941bf3c5b44f906804809a828ea7198411888e", "translated_description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/DLD23lPv8eo/hqdefault.jpg", "youtube_id": "DLD23lPv8eo", "content_kind": "Video", "readable_id": "what-is-preload"}, {"translated_youtube_id": "cuwMrVoG2V8", "relative_url": "/video/why-doesn-t-the-heart-rip", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-doesn-t-the-heart-rip", "duration": 626, "translated_title": "Why doesn't the heart rip?", "translated_description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117437512", "description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Why doesn't the heart rip?", "progress_key": "v1117437512", "edit_slug": "edit/v/1117437512", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/why-doesn-t-the-heart-rip", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-01T04:23:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.m3u8/cuwMrVoG2V8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cuwMrVoG2V8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117437512", "sha": "d06d23c0eac470b1cb9e7e4ac3c4b359d44e67bd", "translated_description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cuwMrVoG2V8/hqdefault.jpg", "youtube_id": "cuwMrVoG2V8", "content_kind": "Video", "readable_id": "why-doesn-t-the-heart-rip"}], "twitter_url": "", "translated_description": "Watch as the pressure and amount of blood inside the left ventricle go up and down within fractions of a second!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Watch as the pressure and amount of blood inside the left ventricle go up and down within fractions of a second!", "x_pos": 0.0, "node_slug": "pressure-volume-loops", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbc61f732", "topic_page_url": "/science/healthcare-and-medicine/pressure-volume-loops", "extended_slug": "science/healthcare-and-medicine/pressure-volume-loops", "slug": "pressure-volume-loops", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a3a185141fed60e448e98f0162e67bf290a4dd3f", "standalone_title": "Pressure Volume Loops", "y_pos": 0.0, "current_revision_key": "a3a185141fed60e448e98f0162e67bf290a4dd3f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/changing-the-PV-loop", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/changing-the-PV-loop", "translated_standalone_title": "Changing the PV Loop", "translated_title": "Changing the PV loop", "gplus_url": "", "id": "xda292f80", "old_key_name": "Ly7k4GkX_-Cq0GG2W9uG07nsYYZlG54xaL_W-6F6", "hide": false, "title": "Changing the PV loop", "child_data": [{"kind": "Video", "id": 1133168259}, {"kind": "Video", "id": 1150537387}, {"kind": "Video", "id": 1159114411}, {"kind": "Video", "id": 1159115460}, {"kind": "Video", "id": 1179431919}, {"kind": "Video", "id": 1179656720}, {"kind": "Video", "id": 1179661500}, {"kind": "Video", "id": 1179525912}, {"kind": "Video", "id": 1179692608}, {"kind": "Video", "id": 1179760355}, {"kind": "Scratchpad", "id": 1224182071}], "children": [{"translated_youtube_id": "DLD23lPv8eo", "relative_url": "/video/what-is-preload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-preload", "duration": 813, "translated_title": "What is preload?", "translated_description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133168259", "description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is preload?", "progress_key": "v1133168259", "edit_slug": "edit/v/1133168259", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-preload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-09T05:42:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.m3u8/DLD23lPv8eo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DLD23lPv8eo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133168259", "sha": "db941bf3c5b44f906804809a828ea7198411888e", "translated_description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/DLD23lPv8eo/hqdefault.jpg", "youtube_id": "DLD23lPv8eo", "content_kind": "Video", "readable_id": "what-is-preload"}, {"translated_youtube_id": "yOf3kDD3WIA", "relative_url": "/video/what-is-afterload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-afterload", "duration": 628, "translated_title": "What is afterload?", "translated_description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150537387", "description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is afterload?", "progress_key": "v1150537387", "edit_slug": "edit/v/1150537387", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-afterload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-15T19:30:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.mp4/yOf3kDD3WIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.mp4/yOf3kDD3WIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.m3u8/yOf3kDD3WIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yOf3kDD3WIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150537387", "sha": "a71dc7f827fa9295ef910924994f99e5137d7e4b", "translated_description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/yOf3kDD3WIA/hqdefault.jpg", "youtube_id": "yOf3kDD3WIA", "content_kind": "Video", "readable_id": "what-is-afterload"}, {"translated_youtube_id": "FttqXKdw_Xk", "relative_url": "/video/increasing-the-heart-s-force-of-contraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/increasing-the-heart-s-force-of-contraction", "duration": 870, "translated_title": "Increasing the heart's force of contraction", "translated_description_html": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1159114411", "description_html": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Increasing the heart's force of contraction", "progress_key": "v1159114411", "edit_slug": "edit/v/1159114411", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/increasing-the-heart-s-force-of-contraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T15:05:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.mp4/FttqXKdw_Xk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.mp4/FttqXKdw_Xk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.m3u8/FttqXKdw_Xk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FttqXKdw_Xk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159114411", "sha": "7d8855288b48285feb930dd4cd3fbc9a857673d1", "translated_description": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/FttqXKdw_Xk/hqdefault.jpg", "youtube_id": "FttqXKdw_Xk", "content_kind": "Video", "readable_id": "increasing-the-heart-s-force-of-contraction"}, {"translated_youtube_id": "BdlkhDHbN98", "relative_url": "/video/reimagine-the-pressure-volume-relationship", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reimagine-the-pressure-volume-relationship", "duration": 818, "translated_title": "Reimagine the pressure volume relationship", "translated_description_html": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1159115460", "description_html": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Reimagine the pressure volume relationship", "progress_key": "v1159115460", "edit_slug": "edit/v/1159115460", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/reimagine-the-pressure-volume-relationship", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-19T15:06:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.mp4/BdlkhDHbN98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.mp4/BdlkhDHbN98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BdlkhDHbN98.m3u8/BdlkhDHbN98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BdlkhDHbN98&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159115460", "sha": "3e365161500434092949c4d4cdb2d9e46f645c49", "translated_description": "Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/BdlkhDHbN98/hqdefault.jpg", "youtube_id": "BdlkhDHbN98", "content_kind": "Video", "readable_id": "reimagine-the-pressure-volume-relationship"}, {"translated_youtube_id": "gmHH0wIXsog", "relative_url": "/video/what-is-contractility", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-contractility", "duration": 825, "translated_title": "What is contractility?", "translated_description_html": "Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179431919", "description_html": "Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is contractility?", "progress_key": "v1179431919", "edit_slug": "edit/v/1179431919", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-contractility", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-28T16:37:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gmHH0wIXsog.mp4/gmHH0wIXsog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gmHH0wIXsog.mp4/gmHH0wIXsog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gmHH0wIXsog.m3u8/gmHH0wIXsog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gmHH0wIXsog&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179431919", "sha": "c325c8ca036af319e6176c4ac3076da284d75ffa", "translated_description": "Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/gmHH0wIXsog/hqdefault.jpg", "youtube_id": "gmHH0wIXsog", "content_kind": "Video", "readable_id": "what-is-contractility"}, {"translated_youtube_id": "NG7nbAcAFNc", "relative_url": "/video/getting-ea--arterial-elastance--from-the-pv-loop", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/getting-ea--arterial-elastance--from-the-pv-loop", "duration": 681, "translated_title": "Getting Ea (arterial elastance) from the PV loop", "translated_description_html": "Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179656720", "description_html": "Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Getting Ea (arterial elastance) from the PV loop", "progress_key": "v1179656720", "edit_slug": "edit/v/1179656720", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/getting-ea--arterial-elastance--from-the-pv-loop", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-28T16:38:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NG7nbAcAFNc.mp4/NG7nbAcAFNc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NG7nbAcAFNc.mp4/NG7nbAcAFNc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NG7nbAcAFNc.m3u8/NG7nbAcAFNc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NG7nbAcAFNc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179656720", "sha": "415d393033be6271c5c1b7fe499d76eb9af6c834", "translated_description": "Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/NG7nbAcAFNc/hqdefault.jpg", "youtube_id": "NG7nbAcAFNc", "content_kind": "Video", "readable_id": "getting-ea--arterial-elastance--from-the-pv-loop"}, {"translated_youtube_id": "BGIkU1yzBNM", "relative_url": "/video/arterial-elastance--ea--and-afterload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arterial-elastance--ea--and-afterload", "duration": 573, "translated_title": "Arterial elastance (Ea) and afterload", "translated_description_html": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179661500", "description_html": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arterial elastance (Ea) and afterload", "progress_key": "v1179661500", "edit_slug": "edit/v/1179661500", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arterial-elastance--ea--and-afterload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-28T16:38:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.m3u8/BGIkU1yzBNM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BGIkU1yzBNM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179661500", "sha": "b5e0fd2e472d6d2807ef37444bbacb17e8a450bf", "translated_description": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/BGIkU1yzBNM/hqdefault.jpg", "youtube_id": "BGIkU1yzBNM", "content_kind": "Video", "readable_id": "arterial-elastance--ea--and-afterload"}, {"translated_youtube_id": "At8jOJ_rpzA", "relative_url": "/video/arterial-elastance--ea--and-preload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arterial-elastance--ea--and-preload", "duration": 463, "translated_title": "Arterial elastance (Ea) and preload", "translated_description_html": "Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179525912", "description_html": "Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Arterial elastance (Ea) and preload", "progress_key": "v1179525912", "edit_slug": "edit/v/1179525912", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/arterial-elastance--ea--and-preload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-28T16:39:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/At8jOJ_rpzA.mp4/At8jOJ_rpzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/At8jOJ_rpzA.mp4/At8jOJ_rpzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/At8jOJ_rpzA.m3u8/At8jOJ_rpzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=At8jOJ_rpzA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179525912", "sha": "432ad2687d241ef1e0a34531239f7a78acb3668c", "translated_description": "Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/At8jOJ_rpzA/hqdefault.jpg", "youtube_id": "At8jOJ_rpzA", "content_kind": "Video", "readable_id": "arterial-elastance--ea--and-preload"}, {"translated_youtube_id": "aFV9dk5PsPA", "relative_url": "/video/stroke-work-in-pv-loops-and-boxes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/stroke-work-in-pv-loops-and-boxes", "duration": 413, "translated_title": "Stroke work in PV loops and boxes", "translated_description_html": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179692608", "description_html": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Stroke work in PV loops and boxes", "progress_key": "v1179692608", "edit_slug": "edit/v/1179692608", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/stroke-work-in-pv-loops-and-boxes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-28T16:39:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.m3u8/aFV9dk5PsPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aFV9dk5PsPA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179692608", "sha": "c93e54c637c9e8cc80687da8800dd827639fbe9e", "translated_description": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/aFV9dk5PsPA/hqdefault.jpg", "youtube_id": "aFV9dk5PsPA", "content_kind": "Video", "readable_id": "stroke-work-in-pv-loops-and-boxes"}, {"translated_youtube_id": "JRrm8TfBj1c", "relative_url": "/video/contractility--ea--and-preload-effects-on-pv-boxes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/contractility--ea--and-preload-effects-on-pv-boxes", "duration": 791, "translated_title": "Contractility, Ea, and preload effects on PV boxes", "translated_description_html": "See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1179760355", "description_html": "See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Contractility, Ea, and preload effects on PV boxes", "progress_key": "v1179760355", "edit_slug": "edit/v/1179760355", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/contractility--ea--and-preload-effects-on-pv-boxes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-28T16:40:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.m3u8/JRrm8TfBj1c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JRrm8TfBj1c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1179760355", "sha": "c1643a894cf8db78c42a69939b79d059a594bfa3", "translated_description": "See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/JRrm8TfBj1c/hqdefault.jpg", "youtube_id": "JRrm8TfBj1c", "content_kind": "Video", "readable_id": "contractility--ea--and-preload-effects-on-pv-boxes"}], "twitter_url": "", "translated_description": "Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!", "x_pos": 0.0, "node_slug": "changing-the-PV-loop", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda292f80", "topic_page_url": "/science/healthcare-and-medicine/changing-the-PV-loop", "extended_slug": "science/healthcare-and-medicine/changing-the-PV-loop", "slug": "changing-the-PV-loop", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5f4173d6adf26b7ac401282887c8bbd0d27bef99", "standalone_title": "Changing the PV Loop", "y_pos": 0.0, "current_revision_key": "5f4173d6adf26b7ac401282887c8bbd0d27bef99", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/preload-and-afterload", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/preload-and-afterload", "translated_standalone_title": "Preload and Afterload", "translated_title": "Preload and afterload", "gplus_url": "", "id": "x8c6b9867", "old_key_name": "POuy-n4nvLJpD3-VTuIgm0CpnFLQBZ0Ru3zxrZO5", "hide": false, "title": "Preload and afterload", "child_data": [{"kind": "Video", "id": 1117437512}, {"kind": "Video", "id": 1133168259}, {"kind": "Video", "id": 1150515528}, {"kind": "Video", "id": 1150565196}, {"kind": "Video", "id": 1150572205}, {"kind": "Video", "id": 1150353015}, {"kind": "Video", "id": 1150546387}, {"kind": "Video", "id": 1150537387}, {"kind": "Video", "id": 1159114411}], "children": [{"translated_youtube_id": "cuwMrVoG2V8", "relative_url": "/video/why-doesn-t-the-heart-rip", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-doesn-t-the-heart-rip", "duration": 626, "translated_title": "Why doesn't the heart rip?", "translated_description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1117437512", "description_html": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Why doesn't the heart rip?", "progress_key": "v1117437512", "edit_slug": "edit/v/1117437512", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/why-doesn-t-the-heart-rip", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-01T04:23:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.mp4/cuwMrVoG2V8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cuwMrVoG2V8.m3u8/cuwMrVoG2V8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cuwMrVoG2V8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1117437512", "sha": "d06d23c0eac470b1cb9e7e4ac3c4b359d44e67bd", "translated_description": "Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the \"wall stress\" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/cuwMrVoG2V8/hqdefault.jpg", "youtube_id": "cuwMrVoG2V8", "content_kind": "Video", "readable_id": "why-doesn-t-the-heart-rip"}, {"translated_youtube_id": "DLD23lPv8eo", "relative_url": "/video/what-is-preload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-preload", "duration": 813, "translated_title": "What is preload?", "translated_description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1133168259", "description_html": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is preload?", "progress_key": "v1133168259", "edit_slug": "edit/v/1133168259", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-preload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-09T05:42:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.mp4/DLD23lPv8eo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DLD23lPv8eo.m3u8/DLD23lPv8eo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DLD23lPv8eo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1133168259", "sha": "db941bf3c5b44f906804809a828ea7198411888e", "translated_description": "Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it? Watch and find out! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/DLD23lPv8eo/hqdefault.jpg", "youtube_id": "DLD23lPv8eo", "content_kind": "Video", "readable_id": "what-is-preload"}, {"translated_youtube_id": "S-4pFl3mjr8", "relative_url": "/video/preload-and-pressure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preload-and-pressure", "duration": 743, "translated_title": "Preload and pressure", "translated_description_html": "Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150515528", "description_html": "Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Preload and pressure", "progress_key": "v1150515528", "edit_slug": "edit/v/1150515528", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/preload-and-pressure", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-15T19:28:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S-4pFl3mjr8.mp4/S-4pFl3mjr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S-4pFl3mjr8.mp4/S-4pFl3mjr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S-4pFl3mjr8.m3u8/S-4pFl3mjr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S-4pFl3mjr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150515528", "sha": "155d987e1f79b807457dd6390643d0af9ef2b86e", "translated_description": "Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/S-4pFl3mjr8/hqdefault.jpg", "youtube_id": "S-4pFl3mjr8", "content_kind": "Video", "readable_id": "preload-and-pressure"}, {"translated_youtube_id": "SCo1m7OEqac", "relative_url": "/video/preload-stretches-out-the-heart-cells", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preload-stretches-out-the-heart-cells", "duration": 761, "translated_title": "Preload stretches out the heart cells", "translated_description_html": "Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150565196", "description_html": "Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Preload stretches out the heart cells", "progress_key": "v1150565196", "edit_slug": "edit/v/1150565196", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/preload-stretches-out-the-heart-cells", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-15T19:28:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SCo1m7OEqac.mp4/SCo1m7OEqac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SCo1m7OEqac.mp4/SCo1m7OEqac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SCo1m7OEqac.m3u8/SCo1m7OEqac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SCo1m7OEqac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150565196", "sha": "e70be1590453dbd089fc1ad30b894a7dbb58e238", "translated_description": "Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/SCo1m7OEqac/hqdefault.jpg", "youtube_id": "SCo1m7OEqac", "content_kind": "Video", "readable_id": "preload-stretches-out-the-heart-cells"}, {"translated_youtube_id": "5SO58NndlPI", "relative_url": "/video/frank-starling-mechanism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/frank-starling-mechanism", "duration": 858, "translated_title": "Frank-Starling mechanism", "translated_description_html": "Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150572205", "description_html": "Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Frank-Starling mechanism", "progress_key": "v1150572205", "edit_slug": "edit/v/1150572205", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/frank-starling-mechanism", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-15T19:29:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5SO58NndlPI.mp4/5SO58NndlPI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5SO58NndlPI.mp4/5SO58NndlPI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5SO58NndlPI.m3u8/5SO58NndlPI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5SO58NndlPI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150572205", "sha": "f963303646bbc369354b28575c547ea2c409096a", "translated_description": "Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/5SO58NndlPI/hqdefault.jpg", "youtube_id": "5SO58NndlPI", "content_kind": "Video", "readable_id": "frank-starling-mechanism"}, {"translated_youtube_id": "uVFqEi5j1v0", "relative_url": "/video/sarcomere-length-tension-relationship", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sarcomere-length-tension-relationship", "duration": 530, "translated_title": "Sarcomere length-tension relationship", "translated_description_html": "Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150353015", "description_html": "Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Sarcomere length-tension relationship", "progress_key": "v1150353015", "edit_slug": "edit/v/1150353015", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/sarcomere-length-tension-relationship", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-15T19:29:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uVFqEi5j1v0.mp4/uVFqEi5j1v0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uVFqEi5j1v0.mp4/uVFqEi5j1v0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uVFqEi5j1v0.m3u8/uVFqEi5j1v0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uVFqEi5j1v0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150353015", "sha": "07991834a95539ac16a10778d615b791d764276c", "translated_description": "Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/uVFqEi5j1v0/hqdefault.jpg", "youtube_id": "uVFqEi5j1v0", "content_kind": "Video", "readable_id": "sarcomere-length-tension-relationship"}, {"translated_youtube_id": "Ijret8P3kWM", "relative_url": "/video/active-contraction-vs--passive-recoil", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/active-contraction-vs--passive-recoil", "duration": 451, "translated_title": "Active contraction vs. passive recoil", "translated_description_html": "Go through the similarities and differences between the sarcomere and a slingshot! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150546387", "description_html": "Go through the similarities and differences between the sarcomere and a slingshot! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Active contraction vs. passive recoil", "progress_key": "v1150546387", "edit_slug": "edit/v/1150546387", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Go through the similarities and differences between the sarcomere and a slingshot! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/active-contraction-vs--passive-recoil", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-15T19:29:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ijret8P3kWM.mp4/Ijret8P3kWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ijret8P3kWM.mp4/Ijret8P3kWM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ijret8P3kWM.m3u8/Ijret8P3kWM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ijret8P3kWM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150546387", "sha": "283a12c85e1bf119fcc5f2c6636e86974129dba1", "translated_description": "Go through the similarities and differences between the sarcomere and a slingshot! Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/Ijret8P3kWM/hqdefault.jpg", "youtube_id": "Ijret8P3kWM", "content_kind": "Video", "readable_id": "active-contraction-vs--passive-recoil"}, {"translated_youtube_id": "yOf3kDD3WIA", "relative_url": "/video/what-is-afterload", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-afterload", "duration": 628, "translated_title": "What is afterload?", "translated_description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1150537387", "description_html": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "What is afterload?", "progress_key": "v1150537387", "edit_slug": "edit/v/1150537387", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/what-is-afterload", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-15T19:30:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.mp4/yOf3kDD3WIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.mp4/yOf3kDD3WIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yOf3kDD3WIA.m3u8/yOf3kDD3WIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yOf3kDD3WIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1150537387", "sha": "a71dc7f827fa9295ef910924994f99e5137d7e4b", "translated_description": "Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/yOf3kDD3WIA/hqdefault.jpg", "youtube_id": "yOf3kDD3WIA", "content_kind": "Video", "readable_id": "what-is-afterload"}, {"translated_youtube_id": "FttqXKdw_Xk", "relative_url": "/video/increasing-the-heart-s-force-of-contraction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/increasing-the-heart-s-force-of-contraction", "duration": 870, "translated_title": "Increasing the heart's force of contraction", "translated_description_html": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "id": "1159114411", "description_html": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "title": "Increasing the heart's force of contraction", "progress_key": "v1159114411", "edit_slug": "edit/v/1159114411", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "extra_properties": null, "node_slug": "v/increasing-the-heart-s-force-of-contraction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T15:05:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.mp4/FttqXKdw_Xk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.mp4/FttqXKdw_Xk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FttqXKdw_Xk.m3u8/FttqXKdw_Xk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FttqXKdw_Xk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159114411", "sha": "7d8855288b48285feb930dd4cd3fbc9a857673d1", "translated_description": "Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole. Rishi is a pediatric infectious disease physician and works at Khan Academy.", "image_url": "https://img.youtube.com/vi/FttqXKdw_Xk/hqdefault.jpg", "youtube_id": "FttqXKdw_Xk", "content_kind": "Video", "readable_id": "increasing-the-heart-s-force-of-contraction"}], "twitter_url": "", "translated_description": "Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!", "x_pos": 0.0, "node_slug": "preload-and-afterload", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c6b9867", "topic_page_url": "/science/healthcare-and-medicine/preload-and-afterload", "extended_slug": "science/healthcare-and-medicine/preload-and-afterload", "slug": "preload-and-afterload", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "91884195a661d7c13cb2347a4880aac4d61829ea", "standalone_title": "Preload and Afterload", "y_pos": 0.0, "current_revision_key": "91884195a661d7c13cb2347a4880aac4d61829ea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/healthcare-and-medicine/healthcare-misc", "web_url": "", "ka_url": "http://www.khanacademy.org/science/healthcare-and-medicine/healthcare-misc", "translated_standalone_title": "Miscellaneous", "translated_title": "Miscellaneous", "gplus_url": "", "id": "x069a1823", "old_key_name": "OQjWp45yUksxYNSd80ZoSzNcMb7yuocsdpbb6wzz", "hide": false, "title": "Miscellaneous", "child_data": [{"kind": "Video", "id": 244040668}, {"kind": "Video", "id": 244040665}, {"kind": "Video", "id": 289609350}, {"kind": "Video", "id": 289594305}], "children": [{"translated_youtube_id": "CnXuSCaCNBo", "relative_url": "/video/bacterial-meningitis", "has_questions": false, "keywords": "medicine", "ka_url": "http://www.khanacademy.org/video/bacterial-meningitis", "duration": 737, "translated_title": "Bacterial meningitis", "translated_description_html": "Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis", "id": "244040668", "description_html": "Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis", "title": "Bacterial meningitis", "progress_key": "v244040668", "edit_slug": "edit/v/244040668", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis", "extra_properties": null, "node_slug": "v/bacterial-meningitis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-13T10:01:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CnXuSCaCNBo.mp4/CnXuSCaCNBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CnXuSCaCNBo.mp4/CnXuSCaCNBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CnXuSCaCNBo.m3u8/CnXuSCaCNBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CnXuSCaCNBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244040668", "sha": "78a406081cefb5d45933069a3e9156888dd3ac09", "translated_description": "Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis", "image_url": "https://img.youtube.com/vi/CnXuSCaCNBo/hqdefault.jpg", "youtube_id": "CnXuSCaCNBo", "content_kind": "Video", "readable_id": "bacterial-meningitis"}, {"translated_youtube_id": "w2QVg9mezcY", "relative_url": "/video/ritual-of-the-bedside-exam", "has_questions": false, "keywords": "medicine, verghese", "ka_url": "http://www.khanacademy.org/video/ritual-of-the-bedside-exam", "duration": 528, "translated_title": "Ritual of the bedside exam", "translated_description_html": "Dr. Abraham Verghese explains the ritual of the bedside exam", "id": "244040665", "description_html": "Dr. Abraham Verghese explains the ritual of the bedside exam", "title": "Ritual of the bedside exam", "progress_key": "v244040665", "edit_slug": "edit/v/244040665", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Dr. Abraham Verghese explains the ritual of the bedside exam", "extra_properties": null, "node_slug": "v/ritual-of-the-bedside-exam", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-09-13T10:01:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w2QVg9mezcY.mp4/w2QVg9mezcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w2QVg9mezcY.mp4/w2QVg9mezcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w2QVg9mezcY.m3u8/w2QVg9mezcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w2QVg9mezcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v244040665", "sha": "d7a50e262477ccaf9e62802c34f6975c48ddc833", "translated_description": "Dr. Abraham Verghese explains the ritual of the bedside exam", "image_url": "https://img.youtube.com/vi/w2QVg9mezcY/hqdefault.jpg", "youtube_id": "w2QVg9mezcY", "content_kind": "Video", "readable_id": "ritual-of-the-bedside-exam"}, {"translated_youtube_id": "7zk0ubr_lzo", "relative_url": "/video/systemic-thinking-about-cancer", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/systemic-thinking-about-cancer", "duration": 694, "translated_title": "Systemic thinking about cancer", "translated_description_html": "Dr. David Agus discusses thinking systemically about cancer and other things", "id": "289609350", "description_html": "Dr. David Agus discusses thinking systemically about cancer and other things", "title": "Systemic thinking about cancer", "progress_key": "v289609350", "edit_slug": "edit/v/289609350", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Dr. David Agus discusses thinking systemically about cancer and other things", "extra_properties": null, "node_slug": "v/systemic-thinking-about-cancer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-10-04T10:02:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7zk0ubr_lzo.mp4/7zk0ubr_lzo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7zk0ubr_lzo.mp4/7zk0ubr_lzo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7zk0ubr_lzo.m3u8/7zk0ubr_lzo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7zk0ubr_lzo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289609350", "sha": "b9f030738e10dbbd4f60c3eabfbb2aed9365fbd2", "translated_description": "Dr. David Agus discusses thinking systemically about cancer and other things", "image_url": "https://img.youtube.com/vi/7zk0ubr_lzo/hqdefault.jpg", "youtube_id": "7zk0ubr_lzo", "content_kind": "Video", "readable_id": "systemic-thinking-about-cancer"}, {"translated_youtube_id": "GZ6I3T1RAnQ", "relative_url": "/video/inflammation", "has_questions": false, "keywords": "Inflammation", "ka_url": "http://www.khanacademy.org/video/inflammation", "duration": 549, "translated_title": "Inflammation", "translated_description_html": "Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one \"m\")", "id": "289594305", "description_html": "Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one \"m\")", "title": "Inflammation", "progress_key": "v289594305", "edit_slug": "edit/v/289594305", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one \"m\")", "extra_properties": null, "node_slug": "v/inflammation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-04T10:01:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZ6I3T1RAnQ.mp4/GZ6I3T1RAnQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZ6I3T1RAnQ.mp4/GZ6I3T1RAnQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZ6I3T1RAnQ.m3u8/GZ6I3T1RAnQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GZ6I3T1RAnQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v289594305", "sha": "bbc5bcd8de7a05e97a888181512e4812fb9598b3", "translated_description": "Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one \"m\")", "image_url": "https://img.youtube.com/vi/GZ6I3T1RAnQ/hqdefault.jpg", "youtube_id": "GZ6I3T1RAnQ", "content_kind": "Video", "readable_id": "inflammation"}], "twitter_url": "", "translated_description": "Enjoy!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Enjoy!", "x_pos": 0.0, "node_slug": "healthcare-misc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax069a1823", "topic_page_url": "/science/healthcare-and-medicine/healthcare-misc", "extended_slug": "science/healthcare-and-medicine/healthcare-misc", "slug": "healthcare-misc", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "132fdfd1af4b1296c79f7f50abca000f56185115", "standalone_title": "Miscellaneous", "y_pos": 0.0, "current_revision_key": "132fdfd1af4b1296c79f7f50abca000f56185115", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The medical world can be a confusing place. Patients and their families might feel overwhelmed by the large vocabularies and complicated explanations they get from their health care providers. Students entering health care also struggle to grasp the complexity of health sciences, and are forced to memorize huge amounts of information. We hope to make understanding the medical world a bit easier. Look around!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have\nregarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The medical world can be a confusing place. Patients and their families might feel overwhelmed by the large vocabularies and complicated explanations they get from their health care providers. Students entering health care also struggle to grasp the complexity of health sciences, and are forced to memorize huge amounts of information. We hope to make understanding the medical world a bit easier. Look around!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have\nregarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "x_pos": 0.0, "node_slug": "healthcare-and-medicine", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e556f83", "topic_page_url": "/science/healthcare-and-medicine", "extended_slug": "science/healthcare-and-medicine", "slug": "healthcare-and-medicine", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a626b7cccd1f106a39a5ca54074cce1f0ec8e8e2", "standalone_title": "Healthcare and medicine", "y_pos": 0.0, "current_revision_key": "a626b7cccd1f106a39a5ca54074cce1f0ec8e8e2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat", "translated_standalone_title": "MCAT", "translated_title": "MCAT", "gplus_url": "", "id": "x04f6bc56", "old_key_name": null, "hide": false, "title": "MCAT", "child_data": [{"kind": "Topic", "id": "xed868407"}, {"kind": "Topic", "id": "xffad9795"}, {"kind": "Topic", "id": "xab69e2b0"}, {"kind": "Topic", "id": "xa7e68c2d"}, {"kind": "Topic", "id": "x0054fc82"}, {"kind": "Topic", "id": "x0ec6ab0d"}, {"kind": "Topic", "id": "x6a06eaee"}, {"kind": "Topic", "id": "xfee83fcc"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/biomolecules", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/biomolecules", "translated_standalone_title": "Biomolecules", "translated_title": "Biomolecules", "gplus_url": "", "id": "xed868407", "old_key_name": null, "hide": false, "title": "Biomolecules", "child_data": [{"kind": "Topic", "id": "x47a34eeb"}, {"kind": "Topic", "id": "xba69ad9f"}, {"kind": "Topic", "id": "x861d6464"}, {"kind": "Topic", "id": "x89a1d0ed"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/biomolecules/amino-acids-and-proteins1", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/biomolecules/amino-acids-and-proteins1", "translated_standalone_title": "Amino acids and proteins", "translated_title": "Amino acids and proteins", "gplus_url": "", "id": "x47a34eeb", "old_key_name": null, "hide": false, "title": "Amino acids and proteins", "child_data": [{"kind": "Video", "id": "x6a5194bc"}, {"kind": "Video", "id": "x2958f130"}, {"kind": "Video", "id": "x65a0c725"}, {"kind": "Video", "id": "x3639c4fb"}, {"kind": "Video", "id": "xa5d86a39"}, {"kind": "Video", "id": "xd30895ea"}, {"kind": "Video", "id": "xcabbce1c"}, {"kind": "Video", "id": "xebba8bf7"}, {"kind": "Video", "id": "xaff1b54c"}, {"kind": "Exercise", "id": "x5eaad034"}, {"kind": "Exercise", "id": "xb78506dd"}], "children": [{"translated_youtube_id": "ezSEAh3qHgw", "relative_url": "/video/central-dogma-molecular-biology", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/central-dogma-molecular-biology", "duration": 264, "translated_title": "Central dogma of molecular biology", "translated_description_html": "

What is the central dogma of biology? Learn what it means. By Tracy Kovach. <\/span><\/p>\n", "id": "x6a5194bc", "description_html": "

What is the central dogma of biology? Learn what it means. By Tracy Kovach. <\/span><\/p>\n", "title": "Central dogma of molecular biology", "progress_key": "vx6a5194bc", "edit_slug": "edit/v/x6a5194bc", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "What is the central dogma of biology? Learn what it means. By Tracy Kovach. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/central-dogma-molecular-biology", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ezSEAh3qHgw.mp4/ezSEAh3qHgw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ezSEAh3qHgw.mp4/ezSEAh3qHgw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ezSEAh3qHgw.m3u8/ezSEAh3qHgw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ezSEAh3qHgw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6a5194bc", "sha": "cf94a8487439d229441cab2257845d59d5432ce6", "translated_description": "What is the central dogma of biology? Learn what it means. By Tracy Kovach. \n", "image_url": "https://img.youtube.com/vi/ezSEAh3qHgw/hqdefault.jpg", "youtube_id": "ezSEAh3qHgw", "content_kind": "Video", "readable_id": "central-dogma-molecular-biology"}, {"translated_youtube_id": "p2A8fFW19fA", "relative_url": "/video/central-dogma-revisited", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/central-dogma-revisited", "duration": 372, "translated_title": "Central dogma - revisited", "translated_description_html": "", "id": "x2958f130", "description_html": "", "title": "Central dogma - revisited", "progress_key": "vx2958f130", "edit_slug": "edit/v/x2958f130", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/central-dogma-revisited", "deleted": false, "backup_timestamp": "2013-11-14T20:04:44Z", "date_added": "2013-11-14T20:04:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p2A8fFW19fA.mp4/p2A8fFW19fA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p2A8fFW19fA.mp4/p2A8fFW19fA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p2A8fFW19fA.m3u8/p2A8fFW19fA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p2A8fFW19fA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2958f130", "sha": "a14f000bf5324e63eb334af020d516f2678a5923", "translated_description": "", "image_url": "https://img.youtube.com/vi/p2A8fFW19fA/hqdefault.jpg", "youtube_id": "p2A8fFW19fA", "content_kind": "Video", "readable_id": "central-dogma-revisited"}, {"translated_youtube_id": "BbZB-WBVFSk", "relative_url": "/video/amino-acid-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/amino-acid-structure", "duration": 655, "translated_title": "Amino acid structure", "translated_description_html": "

What is the structure of an amino acid? Learn about it here. By Tracy Kovach. <\/span><\/p>\n", "id": "x65a0c725", "description_html": "

What is the structure of an amino acid? Learn about it here. By Tracy Kovach. <\/span><\/p>\n", "title": "Amino acid structure", "progress_key": "vx65a0c725", "edit_slug": "edit/v/x65a0c725", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "What is the structure of an amino acid? Learn about it here. By Tracy Kovach. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/amino-acid-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.mp4/BbZB-WBVFSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.mp4/BbZB-WBVFSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.m3u8/BbZB-WBVFSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BbZB-WBVFSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx65a0c725", "sha": "e44c673f1cd5dcc2137334017c23d0a5b925256e", "translated_description": "What is the structure of an amino acid? Learn about it here. By Tracy Kovach. \n", "image_url": "https://img.youtube.com/vi/BbZB-WBVFSk/hqdefault.jpg", "youtube_id": "BbZB-WBVFSk", "content_kind": "Video", "readable_id": "amino-acid-structure"}, {"translated_youtube_id": "42llTiRn-b8", "relative_url": "/video/isoelectric-point-and-zwitterions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/isoelectric-point-and-zwitterions", "duration": 325, "translated_title": "Isoelectric point and zwitterions", "translated_description_html": "

What is the isoelectric point for an amino acid and how do you calculate it? How does this relate to zwitterions?  By Tracy Kovach.<\/p>\n", "id": "x3639c4fb", "description_html": "

What is the isoelectric point for an amino acid and how do you calculate it? How does this relate to zwitterions?  By Tracy Kovach.<\/p>\n", "title": "Isoelectric point and zwitterions", "progress_key": "vx3639c4fb", "edit_slug": "edit/v/x3639c4fb", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "What is the isoelectric point for an amino acid and how do you calculate it? How does this relate to zwitterions?  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/isoelectric-point-and-zwitterions", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/42llTiRn-b8.mp4/42llTiRn-b8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/42llTiRn-b8.mp4/42llTiRn-b8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/42llTiRn-b8.m3u8/42llTiRn-b8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=42llTiRn-b8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3639c4fb", "sha": "5b8ae23885e6e2317b3ea06a6b194257a8412d84", "translated_description": "What is the isoelectric point for an amino acid and how do you calculate it? How does this relate to zwitterions?  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/42llTiRn-b8/hqdefault.jpg", "youtube_id": "42llTiRn-b8", "content_kind": "Video", "readable_id": "isoelectric-point-and-zwitterions"}, {"translated_youtube_id": "OPAvXQsPCqQ", "relative_url": "/video/classification-amino-acids", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classification-amino-acids", "duration": 366, "translated_title": "Classification of amino acids", "translated_description_html": "

Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.<\/p>\n", "id": "xa5d86a39", "description_html": "

Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.<\/p>\n", "title": "Classification of amino acids", "progress_key": "vxa5d86a39", "edit_slug": "edit/v/xa5d86a39", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/classification-amino-acids", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.mp4/OPAvXQsPCqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.mp4/OPAvXQsPCqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.m3u8/OPAvXQsPCqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OPAvXQsPCqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5d86a39", "sha": "3040b274e8a59e19f4d2b9e31b8213eafedecacc", "translated_description": "Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/OPAvXQsPCqQ/hqdefault.jpg", "youtube_id": "OPAvXQsPCqQ", "content_kind": "Video", "readable_id": "classification-amino-acids"}, {"translated_youtube_id": "2_IJz1ivopQ", "relative_url": "/video/special-cases-histidine-proline-glycine-cysteine", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/special-cases-histidine-proline-glycine-cysteine", "duration": 498, "translated_title": "Special cases: Histidine, proline, glycine, cysteine", "translated_description_html": "

Certain amino acids stand out for their unique properties. Learn more about what makes histidine, proline, glycine, and cysteine different.  By Tracy Kovach.<\/p>\n", "id": "xd30895ea", "description_html": "

Certain amino acids stand out for their unique properties. Learn more about what makes histidine, proline, glycine, and cysteine different.  By Tracy Kovach.<\/p>\n", "title": "Special cases: Histidine, proline, glycine, cysteine", "progress_key": "vxd30895ea", "edit_slug": "edit/v/xd30895ea", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Certain amino acids stand out for their unique properties. Learn more about what makes histidine, proline, glycine, and cysteine different.  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/special-cases-histidine-proline-glycine-cysteine", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2_IJz1ivopQ.mp4/2_IJz1ivopQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2_IJz1ivopQ.mp4/2_IJz1ivopQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2_IJz1ivopQ.m3u8/2_IJz1ivopQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2_IJz1ivopQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd30895ea", "sha": "8c4155157c470c18d4ede46252f30089f65d726b", "translated_description": "Certain amino acids stand out for their unique properties. Learn more about what makes histidine, proline, glycine, and cysteine different.  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/2_IJz1ivopQ/hqdefault.jpg", "youtube_id": "2_IJz1ivopQ", "content_kind": "Video", "readable_id": "special-cases-histidine-proline-glycine-cysteine"}, {"translated_youtube_id": "pmQuNRHJMw4", "relative_url": "/video/peptide-bond-formation-and-cleavage", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/peptide-bond-formation-and-cleavage", "duration": 431, "translated_title": "Peptide bonds: Formation and cleavage", "translated_description_html": "

How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.<\/p>\n", "id": "xcabbce1c", "description_html": "

How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.<\/p>\n", "title": "Peptide bonds: Formation and cleavage", "progress_key": "vxcabbce1c", "edit_slug": "edit/v/xcabbce1c", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/peptide-bond-formation-and-cleavage", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.mp4/pmQuNRHJMw4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.mp4/pmQuNRHJMw4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.m3u8/pmQuNRHJMw4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pmQuNRHJMw4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcabbce1c", "sha": "7561a6e5cc88561f4bc83a19cbac6d1e0a9819e8", "translated_description": "How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/pmQuNRHJMw4/hqdefault.jpg", "youtube_id": "pmQuNRHJMw4", "content_kind": "Video", "readable_id": "peptide-bond-formation-and-cleavage"}, {"translated_youtube_id": "O5gN-IK6uKs", "relative_url": "/video/four-levels-of-protein-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/four-levels-of-protein-structure", "duration": 529, "translated_title": "Four levels of protein structure", "translated_description_html": "

Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.<\/p>\n", "id": "xebba8bf7", "description_html": "

Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.<\/p>\n", "title": "Four levels of protein structure", "progress_key": "vxebba8bf7", "edit_slug": "edit/v/xebba8bf7", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/four-levels-of-protein-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.mp4/O5gN-IK6uKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.mp4/O5gN-IK6uKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.m3u8/O5gN-IK6uKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O5gN-IK6uKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxebba8bf7", "sha": "aefdbac0cffaf0b3a82856d8e7f76c310b84e32d", "translated_description": "Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/O5gN-IK6uKs/hqdefault.jpg", "youtube_id": "O5gN-IK6uKs", "content_kind": "Video", "readable_id": "four-levels-of-protein-structure"}, {"translated_youtube_id": "dNHtdiVjQbM", "relative_url": "/video/conformational-stability-protein-folding-and-denaturation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformational-stability-protein-folding-and-denaturation", "duration": 464, "translated_title": "Conformational stability: Protein folding and denaturation", "translated_description_html": "

Which forces contribute to protein structure and how are these forces disrupted? By Tracy Kovach. <\/span><\/p>\n", "id": "xaff1b54c", "description_html": "

Which forces contribute to protein structure and how are these forces disrupted? By Tracy Kovach. <\/span><\/p>\n", "title": "Conformational stability: Protein folding and denaturation", "progress_key": "vxaff1b54c", "edit_slug": "edit/v/xaff1b54c", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Which forces contribute to protein structure and how are these forces disrupted? By Tracy Kovach. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/conformational-stability-protein-folding-and-denaturation", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dNHtdiVjQbM.mp4/dNHtdiVjQbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dNHtdiVjQbM.mp4/dNHtdiVjQbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dNHtdiVjQbM.m3u8/dNHtdiVjQbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dNHtdiVjQbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaff1b54c", "sha": "1273a6542a75c5f2611bf6fba95a5b4df80c823b", "translated_description": "Which forces contribute to protein structure and how are these forces disrupted? By Tracy Kovach. \n", "image_url": "https://img.youtube.com/vi/dNHtdiVjQbM/hqdefault.jpg", "youtube_id": "dNHtdiVjQbM", "content_kind": "Video", "readable_id": "conformational-stability-protein-folding-and-denaturation"}], "twitter_url": "", "translated_description": "1A: What is the central dogma of biology? Learn the fundamental relationships that tie together DNA, RNA, and proteins. Then go on to discover the different types of amino acids, and how they come together to form complex proteins. By Tracy Kim Kovach.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "1A: What is the central dogma of biology? Learn the fundamental relationships that tie together DNA, RNA, and proteins. Then go on to discover the different types of amino acids, and how they come together to form complex proteins. By Tracy Kim Kovach.", "x_pos": 0.0, "node_slug": "amino-acids-and-proteins1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax47a34eeb", "topic_page_url": "/science/mcat/biomolecules/amino-acids-and-proteins1", "extended_slug": "science/mcat/biomolecules/amino-acids-and-proteins1", "slug": "amino-acids-and-proteins1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d68bba31b0af2dbda9bd04895f3dc772c13b7d3c", "standalone_title": "Amino acids and proteins", "y_pos": 0.0, "current_revision_key": "d68bba31b0af2dbda9bd04895f3dc772c13b7d3c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/biomolecules/evolution-population-dynmaics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/biomolecules/evolution-population-dynmaics", "translated_standalone_title": "Evolution and population dynamics", "translated_title": "Evolution and population dynamics", "gplus_url": "", "id": "xba69ad9f", "old_key_name": null, "hide": false, "title": "Evolution and population dynamics", "child_data": [{"kind": "Video", "id": "xb358a3c7"}, {"kind": "Video", "id": "x2d066b76"}, {"kind": "Video", "id": "xfbcf3fec"}, {"kind": "Video", "id": "xd13f37bc"}, {"kind": "Video", "id": "x918eb2d9"}, {"kind": "Video", "id": "x2c49b090"}, {"kind": "Exercise", "id": "x8adb1321"}], "children": [{"translated_youtube_id": "Me_041nrRZk", "relative_url": "/video/evolution-natural-selection", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evolution-natural-selection", "duration": 301, "translated_title": "Evolution and natural selection", "translated_description_html": "

Learn the fundamental principles about how natural selection can drive the process of evolution.  By Ross Firestone.<\/p>\n", "id": "xb358a3c7", "description_html": "

Learn the fundamental principles about how natural selection can drive the process of evolution.  By Ross Firestone.<\/p>\n", "title": "Evolution and natural selection", "progress_key": "vxb358a3c7", "edit_slug": "edit/v/xb358a3c7", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "Learn the fundamental principles about how natural selection can drive the process of evolution.  By Ross Firestone.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/evolution-natural-selection", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Me_041nrRZk.mp4/Me_041nrRZk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Me_041nrRZk.mp4/Me_041nrRZk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Me_041nrRZk.m3u8/Me_041nrRZk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Me_041nrRZk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb358a3c7", "sha": "66cfdef48b281c50ca4619c8ae68b95b3a0c7430", "translated_description": "Learn the fundamental principles about how natural selection can drive the process of evolution.  By Ross Firestone.\n", "image_url": "https://img.youtube.com/vi/Me_041nrRZk/hqdefault.jpg", "youtube_id": "Me_041nrRZk", "content_kind": "Video", "readable_id": "evolution-natural-selection"}, {"translated_youtube_id": "l5aJ1Y1CiEs", "relative_url": "/video/fitness-and-fecundity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fitness-and-fecundity", "duration": 267, "translated_title": "Fitness and fecundity", "translated_description_html": "

Learn about the concept of fecundity and how it contributes to an organism's overall biological fitness. By Ross Firestone. <\/span><\/p>\n", "id": "x2d066b76", "description_html": "

Learn about the concept of fecundity and how it contributes to an organism's overall biological fitness. By Ross Firestone. <\/span><\/p>\n", "title": "Fitness and fecundity", "progress_key": "vx2d066b76", "edit_slug": "edit/v/x2d066b76", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "Learn about the concept of fecundity and how it contributes to an organism's overall biological fitness. By Ross Firestone. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/fitness-and-fecundity", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5aJ1Y1CiEs.mp4/l5aJ1Y1CiEs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5aJ1Y1CiEs.mp4/l5aJ1Y1CiEs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l5aJ1Y1CiEs.m3u8/l5aJ1Y1CiEs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l5aJ1Y1CiEs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2d066b76", "sha": "17d0c894f4b2e8800a9317672e3ae52d37798f83", "translated_description": "Learn about the concept of fecundity and how it contributes to an organism's overall biological fitness. By Ross Firestone. \n", "image_url": "https://img.youtube.com/vi/l5aJ1Y1CiEs/hqdefault.jpg", "youtube_id": "l5aJ1Y1CiEs", "content_kind": "Video", "readable_id": "fitness-and-fecundity"}, {"translated_youtube_id": "RB7H7paHXd0", "relative_url": "/video/alternative-selection", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alternative-selection", "duration": 274, "translated_title": "Alternative selection", "translated_description_html": "

Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of "Alternative Selection."  By Ross Firestone.<\/p>\n", "id": "xfbcf3fec", "description_html": "

Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of "Alternative Selection."  By Ross Firestone.<\/p>\n", "title": "Alternative selection", "progress_key": "vxfbcf3fec", "edit_slug": "edit/v/xfbcf3fec", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of \"Alternative Selection.\"  By Ross Firestone.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/alternative-selection", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RB7H7paHXd0.mp4/RB7H7paHXd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RB7H7paHXd0.mp4/RB7H7paHXd0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RB7H7paHXd0.m3u8/RB7H7paHXd0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RB7H7paHXd0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfbcf3fec", "sha": "7dc617e6eb419c5a4b4553357e4b4c43cba8d6ae", "translated_description": "Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of \"Alternative Selection.\"  By Ross Firestone.\n", "image_url": "https://img.youtube.com/vi/RB7H7paHXd0/hqdefault.jpg", "youtube_id": "RB7H7paHXd0", "content_kind": "Video", "readable_id": "alternative-selection"}, {"translated_youtube_id": "YWE9HuV0lo8", "relative_url": "/video/bottlenecks-the-environment", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bottlenecks-the-environment", "duration": 319, "translated_title": "Bottlenecks and the environment", "translated_description_html": "

Learn about how changes in the environment can change the way natural selection behaves. What happens when a population's environment changes drastically?  By Ross Firestone.<\/p>\n", "id": "xd13f37bc", "description_html": "

Learn about how changes in the environment can change the way natural selection behaves. What happens when a population's environment changes drastically?  By Ross Firestone.<\/p>\n", "title": "Bottlenecks and the environment", "progress_key": "vxd13f37bc", "edit_slug": "edit/v/xd13f37bc", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "Learn about how changes in the environment can change the way natural selection behaves. What happens when a population's environment changes drastically?  By Ross Firestone.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bottlenecks-the-environment", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YWE9HuV0lo8.mp4/YWE9HuV0lo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YWE9HuV0lo8.mp4/YWE9HuV0lo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YWE9HuV0lo8.m3u8/YWE9HuV0lo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YWE9HuV0lo8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd13f37bc", "sha": "6450e328089b1b73209c5a75d621f9b260be82e9", "translated_description": "Learn about how changes in the environment can change the way natural selection behaves. What happens when a population's environment changes drastically?  By Ross Firestone.\n", "image_url": "https://img.youtube.com/vi/YWE9HuV0lo8/hqdefault.jpg", "youtube_id": "YWE9HuV0lo8", "content_kind": "Video", "readable_id": "bottlenecks-the-environment"}, {"translated_youtube_id": "eg7ltl5vll0", "relative_url": "/video/inbreeding", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inbreeding", "duration": 283, "translated_title": "Inbreeding", "translated_description_html": "

Learn about inbreeding and how it can hurt a population's genetic diversity. By Ross Firestone.<\/p>\n", "id": "x918eb2d9", "description_html": "

Learn about inbreeding and how it can hurt a population's genetic diversity. By Ross Firestone.<\/p>\n", "title": "Inbreeding", "progress_key": "vx918eb2d9", "edit_slug": "edit/v/x918eb2d9", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "Learn about inbreeding and how it can hurt a population's genetic diversity. By Ross Firestone.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/inbreeding", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eg7ltl5vll0.mp4/eg7ltl5vll0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eg7ltl5vll0.mp4/eg7ltl5vll0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eg7ltl5vll0.m3u8/eg7ltl5vll0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eg7ltl5vll0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx918eb2d9", "sha": "e8c4e20224240654b6640ec84cd28c8289dea830", "translated_description": "Learn about inbreeding and how it can hurt a population's genetic diversity. By Ross Firestone.\n", "image_url": "https://img.youtube.com/vi/eg7ltl5vll0/hqdefault.jpg", "youtube_id": "eg7ltl5vll0", "content_kind": "Video", "readable_id": "inbreeding"}, {"translated_youtube_id": "vmgKC2IJjOI", "relative_url": "/video/reproductive-isolation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/reproductive-isolation", "duration": 299, "translated_title": "Reproductive isolation", "translated_description_html": "

What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. <\/span><\/p>\n", "id": "x2c49b090", "description_html": "

What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. <\/span><\/p>\n", "title": "Reproductive isolation", "progress_key": "vx2c49b090", "edit_slug": "edit/v/x2c49b090", "author_names": ["Ross Firestone"], "deleted_mod_time": null, "description": "What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/reproductive-isolation", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vmgKC2IJjOI.mp4/vmgKC2IJjOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vmgKC2IJjOI.mp4/vmgKC2IJjOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vmgKC2IJjOI.m3u8/vmgKC2IJjOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vmgKC2IJjOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2c49b090", "sha": "130f9fca32d16737537437ffd9e454268d575738", "translated_description": "What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. \n", "image_url": "https://img.youtube.com/vi/vmgKC2IJjOI/hqdefault.jpg", "youtube_id": "vmgKC2IJjOI", "content_kind": "Video", "readable_id": "reproductive-isolation"}], "twitter_url": "", "translated_description": "1C: How do organisms evolve from one form to another? Learn about all of the different driving forces of evolution and how there might be a few more than just natural selection. How can populations evolve and adapt to changes in their environment? Do groups of organisms behave differently than individuals? By Ross Firestone.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "1C: How do organisms evolve from one form to another? Learn about all of the different driving forces of evolution and how there might be a few more than just natural selection. How can populations evolve and adapt to changes in their environment? Do groups of organisms behave differently than individuals? By Ross Firestone.", "x_pos": 0.0, "node_slug": "evolution-population-dynmaics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axba69ad9f", "topic_page_url": "/science/mcat/biomolecules/evolution-population-dynmaics", "extended_slug": "science/mcat/biomolecules/evolution-population-dynmaics", "slug": "evolution-population-dynmaics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "467051903d1b71e3c4c00daad3f5ea8fa98f05fd", "standalone_title": "Evolution and population dynamics", "y_pos": 0.0, "current_revision_key": "467051903d1b71e3c4c00daad3f5ea8fa98f05fd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/biomolecules/overview-metabolism", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/biomolecules/overview-metabolism", "translated_standalone_title": "Overview of metabolism", "translated_title": "Overview of metabolism", "gplus_url": "", "id": "x861d6464", "old_key_name": null, "hide": false, "title": "Overview of metabolism", "child_data": [{"kind": "Video", "id": "xb2f307f7"}, {"kind": "Video", "id": 23952}, {"kind": "Video", "id": "xb219c635"}, {"kind": "Video", "id": "x8f9c2be6"}, {"kind": "Video", "id": 23956}, {"kind": "Video", "id": "xc553bc46"}, {"kind": "Video", "id": "x654477f1"}, {"kind": "Exercise", "id": "x18d914c9"}, {"kind": "Exercise", "id": "x1139cd9e"}], "children": [{"translated_youtube_id": "ST1UWnenOo0", "relative_url": "/video/overview-of-metabolism-anabolism-and-catabolism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/overview-of-metabolism-anabolism-and-catabolism", "duration": 521, "translated_title": "Overview of metabolism: Anabolism and catabolism", "translated_description_html": "

What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).  By Jasmine Rana.<\/p>\n", "id": "xb2f307f7", "description_html": "

What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).  By Jasmine Rana.<\/p>\n", "title": "Overview of metabolism: Anabolism and catabolism", "progress_key": "vxb2f307f7", "edit_slug": "edit/v/xb2f307f7", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).  By Jasmine Rana.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/overview-of-metabolism-anabolism-and-catabolism", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ST1UWnenOo0.mp4/ST1UWnenOo0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ST1UWnenOo0.mp4/ST1UWnenOo0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ST1UWnenOo0.m3u8/ST1UWnenOo0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ST1UWnenOo0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb2f307f7", "sha": "8790ae8deaceeabdd7a080692f9d01cf882cb484", "translated_description": "What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).  By Jasmine Rana.\n", "image_url": "https://img.youtube.com/vi/ST1UWnenOo0/hqdefault.jpg", "youtube_id": "ST1UWnenOo0", "content_kind": "Video", "readable_id": "overview-of-metabolism-anabolism-and-catabolism"}, {"translated_youtube_id": "YQfWiDlFEcA", "relative_url": "/video/atp", "has_questions": false, "keywords": "ATP, Adenosine, Triphosphate", "ka_url": "http://www.khanacademy.org/video/atp", "duration": 815, "translated_title": "ATP: Adenosine triphosphate", "translated_description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "id": "23952", "description_html": "

Introduction to ATP or Adenosine Triphosphate. <\/span><\/p>\n", "title": "ATP: Adenosine triphosphate", "progress_key": "v23952", "edit_slug": "edit/v/23952", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to ATP or Adenosine Triphosphate. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/atp", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.mp4/YQfWiDlFEcA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YQfWiDlFEcA.m3u8/YQfWiDlFEcA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YQfWiDlFEcA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23952", "sha": "44abffc895111276a588e0b81ca329e5844eb1a3", "translated_description": "Introduction to ATP or Adenosine Triphosphate. \n", "image_url": "https://img.youtube.com/vi/YQfWiDlFEcA/hqdefault.jpg", "youtube_id": "YQfWiDlFEcA", "content_kind": "Video", "readable_id": "atp"}, {"translated_youtube_id": "76O8KpO_4Zw", "relative_url": "/video/atp-hydrolysis-gibbs-free-energy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/atp-hydrolysis-gibbs-free-energy", "duration": 461, "translated_title": "ATP hydrolysis: Gibbs free energy", "translated_description_html": "

\n

How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.<\/p>\n<\/div>\n", "id": "xb219c635", "description_html": "

\n

How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.<\/p>\n<\/div>\n", "title": "ATP hydrolysis: Gibbs free energy", "progress_key": "vxb219c635", "edit_slug": "edit/v/xb219c635", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "\nHow does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.\n\n", "extra_properties": {"original_url": ""}, "node_slug": "v/atp-hydrolysis-gibbs-free-energy", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/76O8KpO_4Zw.mp4/76O8KpO_4Zw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/76O8KpO_4Zw.mp4/76O8KpO_4Zw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/76O8KpO_4Zw.m3u8/76O8KpO_4Zw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=76O8KpO_4Zw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb219c635", "sha": "d80454e962bf44953b021de84e2f781933d90432", "translated_description": "\nHow does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.\n\n", "image_url": "https://img.youtube.com/vi/76O8KpO_4Zw/hqdefault.jpg", "youtube_id": "76O8KpO_4Zw", "content_kind": "Video", "readable_id": "atp-hydrolysis-gibbs-free-energy"}, {"translated_youtube_id": "AcNDiCzz3do", "relative_url": "/video/atp-hydrolysis-transfer-of-a-phosphate-group", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/atp-hydrolysis-transfer-of-a-phosphate-group", "duration": 586, "translated_title": "ATP hydrolysis: Transfer of a phosphate group", "translated_description_html": "

How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes.  By Jasmine Rana.<\/p>\n", "id": "x8f9c2be6", "description_html": "

How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes.  By Jasmine Rana.<\/p>\n", "title": "ATP hydrolysis: Transfer of a phosphate group", "progress_key": "vx8f9c2be6", "edit_slug": "edit/v/x8f9c2be6", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes.  By Jasmine Rana.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/atp-hydrolysis-transfer-of-a-phosphate-group", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AcNDiCzz3do.mp4/AcNDiCzz3do.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AcNDiCzz3do.mp4/AcNDiCzz3do.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AcNDiCzz3do.m3u8/AcNDiCzz3do.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AcNDiCzz3do&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8f9c2be6", "sha": "71dffdd79a1cdcf013eed0ff11a7149783e98faf", "translated_description": "How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes.  By Jasmine Rana.\n", "image_url": "https://img.youtube.com/vi/AcNDiCzz3do/hqdefault.jpg", "youtube_id": "AcNDiCzz3do", "content_kind": "Video", "readable_id": "atp-hydrolysis-transfer-of-a-phosphate-group"}, {"translated_youtube_id": "orI2m6IarJg", "relative_url": "/video/oxidation-and-reduction-from-biological-view", "has_questions": false, "keywords": "oxidation, reduction", "ka_url": "http://www.khanacademy.org/video/oxidation-and-reduction-from-biological-view", "duration": 809, "translated_title": "Oxidation and reduction review from biological point-of-view", "translated_description_html": "

Taking a looking at oxidation and reduction in a biological context. <\/span><\/p>\n", "id": "23956", "description_html": "

Taking a looking at oxidation and reduction in a biological context. <\/span><\/p>\n", "title": "Oxidation and reduction review from biological point-of-view", "progress_key": "v23956", "edit_slug": "edit/v/23956", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking a looking at oxidation and reduction in a biological context. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/oxidation-and-reduction-from-biological-view", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.mp4/orI2m6IarJg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.mp4/orI2m6IarJg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/orI2m6IarJg.m3u8/orI2m6IarJg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=orI2m6IarJg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23956", "sha": "d89aea7b97e23da154323eed169bc6e99419b1f0", "translated_description": "Taking a looking at oxidation and reduction in a biological context. \n", "image_url": "https://img.youtube.com/vi/orI2m6IarJg/hqdefault.jpg", "youtube_id": "orI2m6IarJg", "content_kind": "Video", "readable_id": "oxidation-and-reduction-from-biological-view"}, {"translated_youtube_id": "g7GXj5QTnJw", "relative_url": "/video/oxidation-and-reduction-in-metabolism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-and-reduction-in-metabolism", "duration": 607, "translated_title": "Oxidation and reduction in metabolism", "translated_description_html": "

How is metabolism similar to a galvanic cell? Use introductory chemistry knowledge of galvanic cells-electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.  By Jasmine Rana.<\/p>\n", "id": "xc553bc46", "description_html": "

How is metabolism similar to a galvanic cell? Use introductory chemistry knowledge of galvanic cells-electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.  By Jasmine Rana.<\/p>\n", "title": "Oxidation and reduction in metabolism", "progress_key": "vxc553bc46", "edit_slug": "edit/v/xc553bc46", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "How is metabolism similar to a galvanic cell? Use introductory chemistry knowledge of galvanic cells-electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.  By Jasmine Rana.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/oxidation-and-reduction-in-metabolism", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g7GXj5QTnJw.mp4/g7GXj5QTnJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g7GXj5QTnJw.mp4/g7GXj5QTnJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g7GXj5QTnJw.m3u8/g7GXj5QTnJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g7GXj5QTnJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc553bc46", "sha": "23436ebbe04786909ade829aa94b17e023e30a14", "translated_description": "How is metabolism similar to a galvanic cell? Use introductory chemistry knowledge of galvanic cells-electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.  By Jasmine Rana.\n", "image_url": "https://img.youtube.com/vi/g7GXj5QTnJw/hqdefault.jpg", "youtube_id": "g7GXj5QTnJw", "content_kind": "Video", "readable_id": "oxidation-and-reduction-in-metabolism"}, {"translated_youtube_id": "yDCeMg0krRM", "relative_url": "/video/electron-carrier-molecules", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electron-carrier-molecules", "duration": 602, "translated_title": "Electron carrier molecules", "translated_description_html": "

What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules shuttle the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.  By Jasmine Rana.<\/p>\n", "id": "x654477f1", "description_html": "

What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules shuttle the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.  By Jasmine Rana.<\/p>\n", "title": "Electron carrier molecules", "progress_key": "vx654477f1", "edit_slug": "edit/v/x654477f1", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules shuttle the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.  By Jasmine Rana.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/electron-carrier-molecules", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yDCeMg0krRM.mp4/yDCeMg0krRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yDCeMg0krRM.mp4/yDCeMg0krRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yDCeMg0krRM.m3u8/yDCeMg0krRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yDCeMg0krRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx654477f1", "sha": "09a5de79d89ff0ce439ec5da79123dbfd0d7171f", "translated_description": "What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules shuttle the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.  By Jasmine Rana.\n", "image_url": "https://img.youtube.com/vi/yDCeMg0krRM/hqdefault.jpg", "youtube_id": "yDCeMg0krRM", "content_kind": "Video", "readable_id": "electron-carrier-molecules"}], "twitter_url": "", "translated_description": "1D: What is metabolism? What molecules are involved? How is useful chemical energy produced? Apply principles from general chemistry and biology to learn the common themes of metabolism. By Jasmine Rana.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "1D: What is metabolism? What molecules are involved? How is useful chemical energy produced? Apply principles from general chemistry and biology to learn the common themes of metabolism. By Jasmine Rana.", "x_pos": 0.0, "node_slug": "overview-metabolism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax861d6464", "topic_page_url": "/science/mcat/biomolecules/overview-metabolism", "extended_slug": "science/mcat/biomolecules/overview-metabolism", "slug": "overview-metabolism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "204774bd20828dc6e64ff4b211c8f09674e0b50e", "standalone_title": "Overview of metabolism", "y_pos": 0.0, "current_revision_key": "204774bd20828dc6e64ff4b211c8f09674e0b50e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/biomolecules/principles-of-bioenergetics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/biomolecules/principles-of-bioenergetics", "translated_standalone_title": "Principles of bioenergetics", "translated_title": "Principles of bioenergetics", "gplus_url": "", "id": "x89a1d0ed", "old_key_name": null, "hide": false, "title": "Principles of bioenergetics", "child_data": [{"kind": "Video", "id": "xd9cd47f4"}, {"kind": "Video", "id": "x34d1968c"}, {"kind": "Video", "id": "x0c3b1a42"}, {"kind": "Video", "id": "xcfac46de"}, {"kind": "Video", "id": 388057}, {"kind": "Video", "id": "xe46d55e0"}, {"kind": "Exercise", "id": "xfcfe93e7"}, {"kind": "Exercise", "id": "xdd675af8"}], "children": [{"translated_youtube_id": "ZBLoUQAMWP8", "relative_url": "/video/gibbs-free-energy---introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gibbs-free-energy---introduction", "duration": 588, "translated_title": "Gibbs free energy introduction", "translated_description_html": "", "id": "xd9cd47f4", "description_html": "", "title": "Gibbs free energy introduction", "progress_key": "vxd9cd47f4", "edit_slug": "edit/v/xd9cd47f4", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/gibbs-free-energy---introduction", "deleted": false, "backup_timestamp": "2013-10-19T20:28:44Z", "date_added": "2013-10-19T20:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZBLoUQAMWP8.mp4/ZBLoUQAMWP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZBLoUQAMWP8.mp4/ZBLoUQAMWP8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZBLoUQAMWP8.m3u8/ZBLoUQAMWP8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZBLoUQAMWP8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd9cd47f4", "sha": "f21484bc98e14cbb087f27eda5b76eba7b805623", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZBLoUQAMWP8/hqdefault.jpg", "youtube_id": "ZBLoUQAMWP8", "content_kind": "Video", "readable_id": "gibbs-free-energy---introduction"}, {"translated_youtube_id": "qTXZ6UrO54U", "relative_url": "/video/gibbs-free-energy---an-analogy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gibbs-free-energy---an-analogy", "duration": 559, "translated_title": "An analogy for Gibbs free energy", "translated_description_html": "", "id": "x34d1968c", "description_html": "", "title": "An analogy for Gibbs free energy", "progress_key": "vx34d1968c", "edit_slug": "edit/v/x34d1968c", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/gibbs-free-energy---an-analogy", "deleted": false, "backup_timestamp": "2013-10-19T20:28:44Z", "date_added": "2013-10-19T20:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qTXZ6UrO54U.mp4/qTXZ6UrO54U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qTXZ6UrO54U.mp4/qTXZ6UrO54U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qTXZ6UrO54U.m3u8/qTXZ6UrO54U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qTXZ6UrO54U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx34d1968c", "sha": "d6d19077e42061481eafd12e4330bbe3beb7b1bd", "translated_description": "", "image_url": "https://img.youtube.com/vi/qTXZ6UrO54U/hqdefault.jpg", "youtube_id": "qTXZ6UrO54U", "content_kind": "Video", "readable_id": "gibbs-free-energy---an-analogy"}, {"translated_youtube_id": "JoFSRuJDp5o", "relative_url": "/video/heat-transfer-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/heat-transfer-1", "duration": 255, "translated_title": "Heat transfer", "translated_description_html": "", "id": "x0c3b1a42", "description_html": "", "title": "Heat transfer", "progress_key": "vx0c3b1a42", "edit_slug": "edit/v/x0c3b1a42", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/heat-transfer-1", "deleted": false, "backup_timestamp": "2013-10-19T20:28:44Z", "date_added": "2013-10-19T20:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JoFSRuJDp5o.mp4/JoFSRuJDp5o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JoFSRuJDp5o.mp4/JoFSRuJDp5o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JoFSRuJDp5o.m3u8/JoFSRuJDp5o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JoFSRuJDp5o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0c3b1a42", "sha": "97a3b5a12314e125240b4a219abde3d13202863a", "translated_description": "", "image_url": "https://img.youtube.com/vi/JoFSRuJDp5o/hqdefault.jpg", "youtube_id": "JoFSRuJDp5o", "content_kind": "Video", "readable_id": "heat-transfer-1"}, {"translated_youtube_id": "AfjH7Xn8VB8", "relative_url": "/video/enthalpy-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/enthalpy-1", "duration": 514, "translated_title": "Enthalpy", "translated_description_html": "", "id": "xcfac46de", "description_html": "", "title": "Enthalpy", "progress_key": "vxcfac46de", "edit_slug": "edit/v/xcfac46de", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/enthalpy-1", "deleted": false, "backup_timestamp": "2013-10-19T20:28:44Z", "date_added": "2013-10-19T20:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AfjH7Xn8VB8.mp4/AfjH7Xn8VB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AfjH7Xn8VB8.mp4/AfjH7Xn8VB8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AfjH7Xn8VB8.m3u8/AfjH7Xn8VB8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AfjH7Xn8VB8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcfac46de", "sha": "dead9f4a6e1b5b9db6f0b5d3585963ed45122b9e", "translated_description": "", "image_url": "https://img.youtube.com/vi/AfjH7Xn8VB8/hqdefault.jpg", "youtube_id": "AfjH7Xn8VB8", "content_kind": "Video", "readable_id": "enthalpy-1"}, {"translated_youtube_id": "4-fEvpVNTlE", "relative_url": "/video/le-chatelier-s-principle", "has_questions": false, "keywords": "chemistry, dynamic, equilibrium, chatelier", "ka_url": "http://www.khanacademy.org/video/le-chatelier-s-principle", "duration": 883, "translated_title": "Le Chatelier's principle", "translated_description_html": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "id": "388057", "description_html": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "title": "Le Chatelier's principle", "progress_key": "v388057", "edit_slug": "edit/v/388057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "extra_properties": null, "node_slug": "v/le-chatelier-s-principle", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:34:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.mp4/4-fEvpVNTlE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.mp4/4-fEvpVNTlE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4-fEvpVNTlE.m3u8/4-fEvpVNTlE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4-fEvpVNTlE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v388057", "sha": "85cba75eff66df7bfffdb95b24be5cfbec3c795c", "translated_description": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", "image_url": "https://img.youtube.com/vi/4-fEvpVNTlE/hqdefault.jpg", "youtube_id": "4-fEvpVNTlE", "content_kind": "Video", "readable_id": "le-chatelier-s-principle"}, {"translated_youtube_id": "l-l_8cSQdEw", "relative_url": "/video/thermodynamics-vs--kinetics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/thermodynamics-vs--kinetics", "duration": 558, "translated_title": "Thermodynamics vs kinetics", "translated_description_html": "", "id": "xe46d55e0", "description_html": "", "title": "Thermodynamics vs kinetics", "progress_key": "vxe46d55e0", "edit_slug": "edit/v/xe46d55e0", "author_names": ["Jasmine Rana"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/thermodynamics-vs--kinetics", "deleted": false, "backup_timestamp": "2013-10-19T20:28:44Z", "date_added": "2013-10-19T20:28:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l-l_8cSQdEw.mp4/l-l_8cSQdEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l-l_8cSQdEw.mp4/l-l_8cSQdEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l-l_8cSQdEw.m3u8/l-l_8cSQdEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l-l_8cSQdEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe46d55e0", "sha": "577e3a5ae5c1d65a518631b4604113eda4cbe79b", "translated_description": "", "image_url": "https://img.youtube.com/vi/l-l_8cSQdEw/hqdefault.jpg", "youtube_id": "l-l_8cSQdEw", "content_kind": "Video", "readable_id": "thermodynamics-vs--kinetics"}], "twitter_url": "", "translated_description": "1D: What are the thermodynamic principles that are fundamental to understanding metabolism? Learn about Gibbs Free Energy, Enthalpy, and Le Chatelier's Principle. By Jasmine Rana.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "1D: What are the thermodynamic principles that are fundamental to understanding metabolism? Learn about Gibbs Free Energy, Enthalpy, and Le Chatelier's Principle. By Jasmine Rana.", "x_pos": 0.0, "node_slug": "principles-of-bioenergetics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T20:28:44Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax89a1d0ed", "topic_page_url": "/science/mcat/biomolecules/principles-of-bioenergetics", "extended_slug": "science/mcat/biomolecules/principles-of-bioenergetics", "slug": "principles-of-bioenergetics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bb3fb6511936c856c2b4fe8126df617907a5724e", "standalone_title": "Principles of bioenergetics", "y_pos": 0.0, "current_revision_key": "bb3fb6511936c856c2b4fe8126df617907a5724e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 1: Biomolecules have unique properties that determine how they contribute to the structure and function of cells, and how they participate in the processes necessary to maintain life.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 1: Biomolecules have unique properties that determine how they contribute to the structure and function of cells, and how they participate in the processes necessary to maintain life.", "x_pos": 0.0, "node_slug": "biomolecules", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axed868407", "topic_page_url": "/science/mcat/biomolecules", "extended_slug": "science/mcat/biomolecules", "slug": "biomolecules", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "989e356672ef40a1ae38c7821ce9ec9ef11c7727", "standalone_title": "Biomolecules", "y_pos": 0.0, "current_revision_key": "989e356672ef40a1ae38c7821ce9ec9ef11c7727", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/cells", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/cells", "translated_standalone_title": "Cells", "translated_title": "Cells", "gplus_url": "", "id": "xffad9795", "old_key_name": null, "hide": false, "title": "Cells", "child_data": [{"kind": "Topic", "id": "x04e8e3bd"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/cells/cell-membrane-overview", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/cells/cell-membrane-overview", "translated_standalone_title": "Cell membrane overview", "translated_title": "Cell membrane overview", "gplus_url": "", "id": "x04e8e3bd", "old_key_name": null, "hide": false, "title": "Cell membrane overview", "child_data": [{"kind": "Video", "id": "x3af34ed1"}, {"kind": "Video", "id": "x05715c46"}, {"kind": "Video", "id": "xb7ad5d15"}, {"kind": "Video", "id": "xe53e7da2"}, {"kind": "Video", "id": "x9267dcbc"}, {"kind": "Video", "id": "xf01a1e18"}, {"kind": "Exercise", "id": "x8da38de8"}, {"kind": "Exercise", "id": "x33e67b34"}], "children": [{"translated_youtube_id": "QpcACa39YtA", "relative_url": "/video/cell-membrane-introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cell-membrane-introduction", "duration": 532, "translated_title": "Cell membrane introduction", "translated_description_html": "

Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. <\/span><\/p>\n", "id": "x3af34ed1", "description_html": "

Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. <\/span><\/p>\n", "title": "Cell membrane introduction", "progress_key": "vx3af34ed1", "edit_slug": "edit/v/x3af34ed1", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/cell-membrane-introduction", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QpcACa39YtA.mp4/QpcACa39YtA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QpcACa39YtA.mp4/QpcACa39YtA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QpcACa39YtA.m3u8/QpcACa39YtA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QpcACa39YtA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3af34ed1", "sha": "7bdbd63b4186e3a4d98acd784828830e30009579", "translated_description": "Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. \n", "image_url": "https://img.youtube.com/vi/QpcACa39YtA/hqdefault.jpg", "youtube_id": "QpcACa39YtA", "content_kind": "Video", "readable_id": "cell-membrane-introduction"}, {"translated_youtube_id": "CBEys2CTkgE", "relative_url": "/video/phospholipid-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/phospholipid-structure", "duration": 421, "translated_title": "Phospholipid structure", "translated_description_html": "

Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. <\/span><\/p>\n", "id": "x05715c46", "description_html": "

Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. <\/span><\/p>\n", "title": "Phospholipid structure", "progress_key": "vx05715c46", "edit_slug": "edit/v/x05715c46", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/phospholipid-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CBEys2CTkgE.mp4/CBEys2CTkgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CBEys2CTkgE.mp4/CBEys2CTkgE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CBEys2CTkgE.m3u8/CBEys2CTkgE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CBEys2CTkgE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx05715c46", "sha": "241250da9e2196f90842077af6524c2f01578065", "translated_description": "Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. \n", "image_url": "https://img.youtube.com/vi/CBEys2CTkgE/hqdefault.jpg", "youtube_id": "CBEys2CTkgE", "content_kind": "Video", "readable_id": "phospholipid-structure"}, {"translated_youtube_id": "LXaPt9i9hqk", "relative_url": "/video/cell-membrane-overview-fluid-mosaic-model", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cell-membrane-overview-fluid-mosaic-model", "duration": 532, "translated_title": "Cell membrane overview and fluid mosaic model", "translated_description_html": "

Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. <\/span><\/p>\n", "id": "xb7ad5d15", "description_html": "

Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. <\/span><\/p>\n", "title": "Cell membrane overview and fluid mosaic model", "progress_key": "vxb7ad5d15", "edit_slug": "edit/v/xb7ad5d15", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/cell-membrane-overview-fluid-mosaic-model", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LXaPt9i9hqk.mp4/LXaPt9i9hqk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LXaPt9i9hqk.mp4/LXaPt9i9hqk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LXaPt9i9hqk.m3u8/LXaPt9i9hqk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LXaPt9i9hqk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb7ad5d15", "sha": "f25f6c05d4a3bcdb63958b32de29f50c6637d160", "translated_description": "Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. \n", "image_url": "https://img.youtube.com/vi/LXaPt9i9hqk/hqdefault.jpg", "youtube_id": "LXaPt9i9hqk", "content_kind": "Video", "readable_id": "cell-membrane-overview-fluid-mosaic-model"}, {"translated_youtube_id": "0emD1AmfdjY", "relative_url": "/video/cell-membrane-proteins", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cell-membrane-proteins", "duration": 491, "translated_title": "Cell membrane proteins", "translated_description_html": "

Learn about the different types of proteins that exist on the cell membrane. By William Tsai. <\/span><\/p>\n", "id": "xe53e7da2", "description_html": "

Learn about the different types of proteins that exist on the cell membrane. By William Tsai. <\/span><\/p>\n", "title": "Cell membrane proteins", "progress_key": "vxe53e7da2", "edit_slug": "edit/v/xe53e7da2", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "Learn about the different types of proteins that exist on the cell membrane. By William Tsai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/cell-membrane-proteins", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0emD1AmfdjY.mp4/0emD1AmfdjY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0emD1AmfdjY.mp4/0emD1AmfdjY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0emD1AmfdjY.m3u8/0emD1AmfdjY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0emD1AmfdjY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe53e7da2", "sha": "29b086820d60726c962246a60a0129f6aa602a5e", "translated_description": "Learn about the different types of proteins that exist on the cell membrane. By William Tsai. \n", "image_url": "https://img.youtube.com/vi/0emD1AmfdjY/hqdefault.jpg", "youtube_id": "0emD1AmfdjY", "content_kind": "Video", "readable_id": "cell-membrane-proteins"}, {"translated_youtube_id": "BWQCAsM-CF4", "relative_url": "/video/cell-membrane-fluidity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cell-membrane-fluidity", "duration": 424, "translated_title": "Cell membrane fluidity", "translated_description_html": "

Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. <\/span><\/p>\n", "id": "x9267dcbc", "description_html": "

Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. <\/span><\/p>\n", "title": "Cell membrane fluidity", "progress_key": "vx9267dcbc", "edit_slug": "edit/v/x9267dcbc", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/cell-membrane-fluidity", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BWQCAsM-CF4.mp4/BWQCAsM-CF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BWQCAsM-CF4.mp4/BWQCAsM-CF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BWQCAsM-CF4.m3u8/BWQCAsM-CF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BWQCAsM-CF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9267dcbc", "sha": "530d1717a3bd0a11184ada7e9c99e125cf16e8a2", "translated_description": "Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. \n", "image_url": "https://img.youtube.com/vi/BWQCAsM-CF4/hqdefault.jpg", "youtube_id": "BWQCAsM-CF4", "content_kind": "Video", "readable_id": "cell-membrane-fluidity"}, {"translated_youtube_id": "twhqVIokAQc", "relative_url": "/video/membrane-dynamics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/membrane-dynamics", "duration": 329, "translated_title": "Membrane dynamics", "translated_description_html": "

\n

Learn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.<\/p>\n<\/div>\n", "id": "xf01a1e18", "description_html": "

\n

Learn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.<\/p>\n<\/div>\n", "title": "Membrane dynamics", "progress_key": "vxf01a1e18", "edit_slug": "edit/v/xf01a1e18", "author_names": ["William Tsai"], "deleted_mod_time": null, "description": "\nLearn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.\n\n", "extra_properties": {"original_url": ""}, "node_slug": "v/membrane-dynamics", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/twhqVIokAQc.mp4/twhqVIokAQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/twhqVIokAQc.mp4/twhqVIokAQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/twhqVIokAQc.m3u8/twhqVIokAQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=twhqVIokAQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf01a1e18", "sha": "446c1894d3405144c6e7201ca726f0882fd557d7", "translated_description": "\nLearn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.\n\n", "image_url": "https://img.youtube.com/vi/twhqVIokAQc/hqdefault.jpg", "youtube_id": "twhqVIokAQc", "content_kind": "Video", "readable_id": "membrane-dynamics"}], "twitter_url": "", "translated_description": "2A: Learn about the basics behind the cell membrane. What makes up the cell membrane and how does it work? How does our cell membrane help sustain life? By William Tsai.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "2A: Learn about the basics behind the cell membrane. What makes up the cell membrane and how does it work? How does our cell membrane help sustain life? By William Tsai.", "x_pos": 0.0, "node_slug": "cell-membrane-overview", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04e8e3bd", "topic_page_url": "/science/mcat/cells/cell-membrane-overview", "extended_slug": "science/mcat/cells/cell-membrane-overview", "slug": "cell-membrane-overview", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0aeeb636824ee68134d720a52ebaab38df663a82", "standalone_title": "Cell membrane overview", "y_pos": 0.0, "current_revision_key": "0aeeb636824ee68134d720a52ebaab38df663a82", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 2: Highly-organized assemblies of molecules, cells, and organs interact to carry out the functions of living organisms", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 2: Highly-organized assemblies of molecules, cells, and organs interact to carry out the functions of living organisms", "x_pos": 0.0, "node_slug": "cells", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axffad9795", "topic_page_url": "/science/mcat/cells", "extended_slug": "science/mcat/cells", "slug": "cells", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e654dba106f3b782c95fde584be53cccef049150", "standalone_title": "Cells", "y_pos": 0.0, "current_revision_key": "e654dba106f3b782c95fde584be53cccef049150", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/organ-systems", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/organ-systems", "translated_standalone_title": "Organ systems", "translated_title": "Organ systems", "gplus_url": "", "id": "xab69e2b0", "old_key_name": null, "hide": false, "title": "Organ systems", "child_data": [{"kind": "Topic", "id": "x31422879"}, {"kind": "Topic", "id": "x45af1f03"}, {"kind": "Topic", "id": "xf089c70c"}, {"kind": "Topic", "id": "xe2dc4d2f"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/organ-systems/neural-cells", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/organ-systems/neural-cells", "translated_standalone_title": "Neural calls", "translated_title": "Neural cells", "gplus_url": "", "id": "x31422879", "old_key_name": null, "hide": false, "title": "Neural cells", "child_data": [{"kind": "Video", "id": "xcbff8238"}, {"kind": "Video", "id": "x34e8d04e"}, {"kind": "Video", "id": "x7a518014"}, {"kind": "Video", "id": "x8c4fa549"}, {"kind": "Video", "id": "x5fc44899"}, {"kind": "Video", "id": "x0d5e3691"}, {"kind": "Video", "id": "x57d1f66b"}, {"kind": "Video", "id": "xbe97865f"}, {"kind": "Exercise", "id": "x7fe5411e"}, {"kind": "Exercise", "id": "x39e0adeb"}], "children": [{"translated_youtube_id": "L82bDTBMGUU", "relative_url": "/video/introduction-to-neural-cell-types", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-neural-cell-types", "duration": 251, "translated_title": "Introduction to neural cell types", "translated_description_html": "", "id": "xcbff8238", "description_html": "", "title": "Introduction to neural cell types", "progress_key": "vxcbff8238", "edit_slug": "edit/v/xcbff8238", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-neural-cell-types", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L82bDTBMGUU.mp4/L82bDTBMGUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L82bDTBMGUU.mp4/L82bDTBMGUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L82bDTBMGUU.m3u8/L82bDTBMGUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L82bDTBMGUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcbff8238", "sha": "f61e8b7c91e0d77c42b691a22c120b3ab1104384", "translated_description": "", "image_url": "https://img.youtube.com/vi/L82bDTBMGUU/hqdefault.jpg", "youtube_id": "L82bDTBMGUU", "content_kind": "Video", "readable_id": "introduction-to-neural-cell-types"}, {"translated_youtube_id": "1h4kW8RX-6k", "relative_url": "/video/overview-of-neuron-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/overview-of-neuron-structure", "duration": 424, "translated_title": "Overview of neuron structure", "translated_description_html": "

This video introduces the structure and structural types of neurons.  By Matt Jensen.<\/p>\n", "id": "x34e8d04e", "description_html": "

This video introduces the structure and structural types of neurons.  By Matt Jensen.<\/p>\n", "title": "Overview of neuron structure", "progress_key": "vx34e8d04e", "edit_slug": "edit/v/x34e8d04e", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video introduces the structure and structural types of neurons.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/overview-of-neuron-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1h4kW8RX-6k.mp4/1h4kW8RX-6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1h4kW8RX-6k.mp4/1h4kW8RX-6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1h4kW8RX-6k.m3u8/1h4kW8RX-6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1h4kW8RX-6k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx34e8d04e", "sha": "2795d4d57de06e8cc29335b83c1d3a66e6a49bbb", "translated_description": "This video introduces the structure and structural types of neurons.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/1h4kW8RX-6k/hqdefault.jpg", "youtube_id": "1h4kW8RX-6k", "content_kind": "Video", "readable_id": "overview-of-neuron-structure"}, {"translated_youtube_id": "BY8DJeX_tGc", "relative_url": "/video/overview-of-neuron-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/overview-of-neuron-function", "duration": 479, "translated_title": "Overview of neuron function", "translated_description_html": "

This video introduces the function and functional types of neurons.  By Matt Jensen.<\/p>\n", "id": "x7a518014", "description_html": "

This video introduces the function and functional types of neurons.  By Matt Jensen.<\/p>\n", "title": "Overview of neuron function", "progress_key": "vx7a518014", "edit_slug": "edit/v/x7a518014", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video introduces the function and functional types of neurons.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/overview-of-neuron-function", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BY8DJeX_tGc.mp4/BY8DJeX_tGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BY8DJeX_tGc.mp4/BY8DJeX_tGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BY8DJeX_tGc.m3u8/BY8DJeX_tGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BY8DJeX_tGc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7a518014", "sha": "0219faf997ae1c6495fafee37e1781c54b6a2d58", "translated_description": "This video introduces the function and functional types of neurons.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/BY8DJeX_tGc/hqdefault.jpg", "youtube_id": "BY8DJeX_tGc", "content_kind": "Video", "readable_id": "overview-of-neuron-function"}, {"translated_youtube_id": "rfepM3L7Pqc", "relative_url": "/video/astrocytes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/astrocytes", "duration": 446, "translated_title": "Astrocytes", "translated_description_html": "

\n

This video describes the structure and function of astrocytes. By Matt Jensen.<\/p>\n<\/div>\n", "id": "x8c4fa549", "description_html": "

\n

This video describes the structure and function of astrocytes. By Matt Jensen.<\/p>\n<\/div>\n", "title": "Astrocytes", "progress_key": "vx8c4fa549", "edit_slug": "edit/v/x8c4fa549", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "\nThis video describes the structure and function of astrocytes. By Matt Jensen.\n\n", "extra_properties": {"original_url": ""}, "node_slug": "v/astrocytes", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rfepM3L7Pqc.mp4/rfepM3L7Pqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rfepM3L7Pqc.mp4/rfepM3L7Pqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rfepM3L7Pqc.m3u8/rfepM3L7Pqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rfepM3L7Pqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8c4fa549", "sha": "e8495ad0347ab450abbe4c361a7172e719ddf45c", "translated_description": "\nThis video describes the structure and function of astrocytes. By Matt Jensen.\n\n", "image_url": "https://img.youtube.com/vi/rfepM3L7Pqc/hqdefault.jpg", "youtube_id": "rfepM3L7Pqc", "content_kind": "Video", "readable_id": "astrocytes"}, {"translated_youtube_id": "mw-rwhpAQe4", "relative_url": "/video/microglia", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/microglia", "duration": 327, "translated_title": "Microglia", "translated_description_html": "

This video describes the structure and function of microglia.  By Matt Jensen.<\/p>\n", "id": "x5fc44899", "description_html": "

This video describes the structure and function of microglia.  By Matt Jensen.<\/p>\n", "title": "Microglia", "progress_key": "vx5fc44899", "edit_slug": "edit/v/x5fc44899", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video describes the structure and function of microglia.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/microglia", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mw-rwhpAQe4.mp4/mw-rwhpAQe4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mw-rwhpAQe4.mp4/mw-rwhpAQe4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mw-rwhpAQe4.m3u8/mw-rwhpAQe4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mw-rwhpAQe4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5fc44899", "sha": "3c157ac917e2978528f97beb8e5b5432f8f34a7c", "translated_description": "This video describes the structure and function of microglia.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/mw-rwhpAQe4/hqdefault.jpg", "youtube_id": "mw-rwhpAQe4", "content_kind": "Video", "readable_id": "microglia"}, {"translated_youtube_id": "jMXf2lgddOg", "relative_url": "/video/oligodendrocytes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oligodendrocytes", "duration": 176, "translated_title": "Oligodendrocytes", "translated_description_html": "

This video describes the structure and function of oligodendrocytes.  By Matt Jensen.<\/p>\n", "id": "x0d5e3691", "description_html": "

This video describes the structure and function of oligodendrocytes.  By Matt Jensen.<\/p>\n", "title": "Oligodendrocytes", "progress_key": "vx0d5e3691", "edit_slug": "edit/v/x0d5e3691", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video describes the structure and function of oligodendrocytes.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/oligodendrocytes", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jMXf2lgddOg.mp4/jMXf2lgddOg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jMXf2lgddOg.mp4/jMXf2lgddOg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jMXf2lgddOg.m3u8/jMXf2lgddOg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jMXf2lgddOg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0d5e3691", "sha": "9861257690dc5f2495495994986366ae8138d2cb", "translated_description": "This video describes the structure and function of oligodendrocytes.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/jMXf2lgddOg/hqdefault.jpg", "youtube_id": "jMXf2lgddOg", "content_kind": "Video", "readable_id": "oligodendrocytes"}, {"translated_youtube_id": "PpvexFbd8e8", "relative_url": "/video/ependymal cells", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ependymal cells", "duration": 220, "translated_title": "Ependymal cells", "translated_description_html": "

This video describes the structure and function of ependymal cells.  By Matt Jensen.<\/p>\n", "id": "x57d1f66b", "description_html": "

This video describes the structure and function of ependymal cells.  By Matt Jensen.<\/p>\n", "title": "Ependymal cells", "progress_key": "vx57d1f66b", "edit_slug": "edit/v/x57d1f66b", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video describes the structure and function of ependymal cells.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/ependymal cells", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PpvexFbd8e8.mp4/PpvexFbd8e8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PpvexFbd8e8.mp4/PpvexFbd8e8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PpvexFbd8e8.m3u8/PpvexFbd8e8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PpvexFbd8e8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx57d1f66b", "sha": "0ba307c441acabdd695c74f9258df2f6e27c9e4d", "translated_description": "This video describes the structure and function of ependymal cells.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/PpvexFbd8e8/hqdefault.jpg", "youtube_id": "PpvexFbd8e8", "content_kind": "Video", "readable_id": "ependymal cells"}, {"translated_youtube_id": "XmL7RHouyUo", "relative_url": "/video/schwann-cells", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/schwann-cells", "duration": 175, "translated_title": "Schwann cells", "translated_description_html": "

This video describes the structure and function of Schwann cells.  By Matt Jensen.<\/p>\n", "id": "xbe97865f", "description_html": "

This video describes the structure and function of Schwann cells.  By Matt Jensen.<\/p>\n", "title": "Schwann cells", "progress_key": "vxbe97865f", "edit_slug": "edit/v/xbe97865f", "author_names": ["Matthew Barry Jensen"], "deleted_mod_time": null, "description": "This video describes the structure and function of Schwann cells.  By Matt Jensen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/schwann-cells", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XmL7RHouyUo.mp4/XmL7RHouyUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XmL7RHouyUo.mp4/XmL7RHouyUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XmL7RHouyUo.m3u8/XmL7RHouyUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XmL7RHouyUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe97865f", "sha": "987bd4e9bb62ad511d1dade2274bbf7408cda227", "translated_description": "This video describes the structure and function of Schwann cells.  By Matt Jensen.\n", "image_url": "https://img.youtube.com/vi/XmL7RHouyUo/hqdefault.jpg", "youtube_id": "XmL7RHouyUo", "content_kind": "Video", "readable_id": "schwann-cells"}], "twitter_url": "", "translated_description": "3A: Get an overview of the structure and function of neurons, and learn about the many other important cells needed to help our nervous system function optimally! By Matt Jensen.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "3A: Get an overview of the structure and function of neurons, and learn about the many other important cells needed to help our nervous system function optimally! By Matt Jensen.", "x_pos": 0.0, "node_slug": "neural-cells", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax31422879", "topic_page_url": "/science/mcat/organ-systems/neural-cells", "extended_slug": "science/mcat/organ-systems/neural-cells", "slug": "neural-cells", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "05d363925c9781daef1fbdb737624ac384fedbe9", "standalone_title": "Neural calls", "y_pos": 0.0, "current_revision_key": "05d363925c9781daef1fbdb737624ac384fedbe9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/organ-systems/endocrine-system", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/organ-systems/endocrine-system", "translated_standalone_title": "Endocrine system", "translated_title": "Endocrine system", "gplus_url": "", "id": "x45af1f03", "old_key_name": null, "hide": false, "title": "Endocrine system", "child_data": [{"kind": "Video", "id": "xaf2ad25b"}, {"kind": "Video", "id": "x26e9c294"}, {"kind": "Video", "id": "xcdd0a401"}, {"kind": "Video", "id": "x9ff1d77e"}, {"kind": "Video", "id": "xd4489fab"}, {"kind": "Video", "id": "x9f41189c"}, {"kind": "Video", "id": "xada599e1"}, {"kind": "Exercise", "id": "xe66e4dcd"}, {"kind": "Exercise", "id": "x172318ef"}], "children": [{"translated_youtube_id": "ER49EweKwW8", "relative_url": "/video/endocrine-gland-hormone-review", "has_questions": false, "keywords": "endocrine, gland, hormone", "ka_url": "http://www.khanacademy.org/video/endocrine-gland-hormone-review", "duration": 699, "translated_title": "Endocrine gland hormone review", "translated_description_html": "

Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. <\/span><\/p>\n", "id": "xaf2ad25b", "description_html": "

Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. <\/span><\/p>\n", "title": "Endocrine gland hormone review", "progress_key": "vxaf2ad25b", "edit_slug": "edit/v/xaf2ad25b", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/endocrine-gland-hormone-review", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ER49EweKwW8.mp4/ER49EweKwW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ER49EweKwW8.mp4/ER49EweKwW8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ER49EweKwW8.m3u8/ER49EweKwW8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ER49EweKwW8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaf2ad25b", "sha": "e3dec7d94e89239bfaecb51d39f5576a5a9f854f", "translated_description": "Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/ER49EweKwW8/hqdefault.jpg", "youtube_id": "ER49EweKwW8", "content_kind": "Video", "readable_id": "endocrine-gland-hormone-review"}, {"translated_youtube_id": "9dS7bc_2bUE", "relative_url": "/video/hypothalamus-and-pituitary-gland", "has_questions": false, "keywords": "hypothalamus, pituitary gland", "ka_url": "http://www.khanacademy.org/video/hypothalamus-and-pituitary-gland", "duration": 395, "translated_title": "The hypothalamus and pituitary gland", "translated_description_html": "", "id": "x26e9c294", "description_html": "", "title": "The hypothalamus and pituitary gland", "progress_key": "vx26e9c294", "edit_slug": "edit/v/x26e9c294", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/hypothalamus-and-pituitary-gland", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9dS7bc_2bUE.mp4/9dS7bc_2bUE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9dS7bc_2bUE.mp4/9dS7bc_2bUE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9dS7bc_2bUE.m3u8/9dS7bc_2bUE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9dS7bc_2bUE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx26e9c294", "sha": "a48e9759f7170bb9e247cdfad737f418c6b793e7", "translated_description": "", "image_url": "https://img.youtube.com/vi/9dS7bc_2bUE/hqdefault.jpg", "youtube_id": "9dS7bc_2bUE", "content_kind": "Video", "readable_id": "hypothalamus-and-pituitary-gland"}, {"translated_youtube_id": "RycF0ub2Al0", "relative_url": "/video/hormone-concentration-metabolism-negative-feedback", "has_questions": false, "keywords": "hormone, metabolism, negative feedback", "ka_url": "http://www.khanacademy.org/video/hormone-concentration-metabolism-negative-feedback", "duration": 287, "translated_title": "Hormone concentration metabolism and negative feedback", "translated_description_html": "

In this video we're going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. <\/span><\/p>\n", "id": "xcdd0a401", "description_html": "

In this video we're going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. <\/span><\/p>\n", "title": "Hormone concentration metabolism and negative feedback", "progress_key": "vxcdd0a401", "edit_slug": "edit/v/xcdd0a401", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "In this video we're going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/hormone-concentration-metabolism-negative-feedback", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RycF0ub2Al0.mp4/RycF0ub2Al0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RycF0ub2Al0.mp4/RycF0ub2Al0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RycF0ub2Al0.m3u8/RycF0ub2Al0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RycF0ub2Al0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcdd0a401", "sha": "46f544ba4b992fc05c7172eeded0a55db73514b8", "translated_description": "In this video we're going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/RycF0ub2Al0/hqdefault.jpg", "youtube_id": "RycF0ub2Al0", "content_kind": "Video", "readable_id": "hormone-concentration-metabolism-negative-feedback"}, {"translated_youtube_id": "KSclrkk_Ako", "relative_url": "/video/types-of-hormones", "has_questions": false, "keywords": "hormones", "ka_url": "http://www.khanacademy.org/video/types-of-hormones", "duration": 602, "translated_title": "Types of hormones", "translated_description_html": "

There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. <\/span><\/p>\n", "id": "x9ff1d77e", "description_html": "

There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. <\/span><\/p>\n", "title": "Types of hormones", "progress_key": "vx9ff1d77e", "edit_slug": "edit/v/x9ff1d77e", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/types-of-hormones", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KSclrkk_Ako.mp4/KSclrkk_Ako.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KSclrkk_Ako.mp4/KSclrkk_Ako.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KSclrkk_Ako.m3u8/KSclrkk_Ako.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KSclrkk_Ako&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ff1d77e", "sha": "6f30c90cc59a32628b265f09b3bcccac73af0a4c", "translated_description": "There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/KSclrkk_Ako/hqdefault.jpg", "youtube_id": "KSclrkk_Ako", "content_kind": "Video", "readable_id": "types-of-hormones"}, {"translated_youtube_id": "TNGSzt2v4xY", "relative_url": "/video/cellular-mechanism-hormone-action", "has_questions": false, "keywords": "hormone action", "ka_url": "http://www.khanacademy.org/video/cellular-mechanism-hormone-action", "duration": 503, "translated_title": "Cellular mechanism of hormone action", "translated_description_html": "

Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. <\/span><\/p>\n", "id": "xd4489fab", "description_html": "

Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. <\/span><\/p>\n", "title": "Cellular mechanism of hormone action", "progress_key": "vxd4489fab", "edit_slug": "edit/v/xd4489fab", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/cellular-mechanism-hormone-action", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TNGSzt2v4xY.mp4/TNGSzt2v4xY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TNGSzt2v4xY.mp4/TNGSzt2v4xY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TNGSzt2v4xY.m3u8/TNGSzt2v4xY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TNGSzt2v4xY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd4489fab", "sha": "225b38b068fcffa0d4e23cbf407ce88eb8d64db5", "translated_description": "Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/TNGSzt2v4xY/hqdefault.jpg", "youtube_id": "TNGSzt2v4xY", "content_kind": "Video", "readable_id": "cellular-mechanism-hormone-action"}, {"translated_youtube_id": "UojFhmgaFpM", "relative_url": "/video/terpenes-to-steroids1", "has_questions": false, "keywords": "terpenes, steroids", "ka_url": "http://www.khanacademy.org/video/terpenes-to-steroids1", "duration": 469, "translated_title": "From terpenes to steroids part 1: Terpenes", "translated_description_html": "

Steroids have to come from somewhere, right? Let's learn about the carbon building blocks with which steroids are made. By Ryan Patton. <\/span><\/p>\n", "id": "x9f41189c", "description_html": "

Steroids have to come from somewhere, right? Let's learn about the carbon building blocks with which steroids are made. By Ryan Patton. <\/span><\/p>\n", "title": "From terpenes to steroids part 1: Terpenes", "progress_key": "vx9f41189c", "edit_slug": "edit/v/x9f41189c", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "Steroids have to come from somewhere, right? Let's learn about the carbon building blocks with which steroids are made. By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/terpenes-to-steroids1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UojFhmgaFpM.mp4/UojFhmgaFpM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UojFhmgaFpM.mp4/UojFhmgaFpM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UojFhmgaFpM.m3u8/UojFhmgaFpM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UojFhmgaFpM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9f41189c", "sha": "6c1cdf6f336359c79cc03adade0eff011b5fa32b", "translated_description": "Steroids have to come from somewhere, right? Let's learn about the carbon building blocks with which steroids are made. By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/UojFhmgaFpM/hqdefault.jpg", "youtube_id": "UojFhmgaFpM", "content_kind": "Video", "readable_id": "terpenes-to-steroids1"}, {"translated_youtube_id": "Ltpuq0LWLd0", "relative_url": "/video/terpenes-to-steroids2", "has_questions": false, "keywords": "terpenes, steroids, squalene, cholesterol", "ka_url": "http://www.khanacademy.org/video/terpenes-to-steroids2", "duration": 269, "translated_title": "From terpenes to steroids part 2: Squalene, cholesterol, and steroids", "translated_description_html": "

After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. <\/span><\/p>\n", "id": "xada599e1", "description_html": "

After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. <\/span><\/p>\n", "title": "From terpenes to steroids part 2: Squalene, cholesterol, and steroids", "progress_key": "vxada599e1", "edit_slug": "edit/v/xada599e1", "author_names": ["Ryan Scott Patton"], "deleted_mod_time": null, "description": "After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/terpenes-to-steroids2", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ltpuq0LWLd0.mp4/Ltpuq0LWLd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ltpuq0LWLd0.mp4/Ltpuq0LWLd0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ltpuq0LWLd0.m3u8/Ltpuq0LWLd0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ltpuq0LWLd0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxada599e1", "sha": "4a4cdbe70c3a4a3d3a657600d9151c8e5341b99d", "translated_description": "After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. \n", "image_url": "https://img.youtube.com/vi/Ltpuq0LWLd0/hqdefault.jpg", "youtube_id": "Ltpuq0LWLd0", "content_kind": "Video", "readable_id": "terpenes-to-steroids2"}], "twitter_url": "", "translated_description": "3A: Dive into the endocrine system! See how the body uses special organs (called glands) that secrete chemical messages (called hormones) in order to properly respond to it's changing environment. By Ryan Patton.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "3A: Dive into the endocrine system! See how the body uses special organs (called glands) that secrete chemical messages (called hormones) in order to properly respond to it's changing environment. By Ryan Patton.", "x_pos": 0.0, "node_slug": "endocrine-system", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45af1f03", "topic_page_url": "/science/mcat/organ-systems/endocrine-system", "extended_slug": "science/mcat/organ-systems/endocrine-system", "slug": "endocrine-system", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4f8843357d70f7d88b68173567393088ed81effb", "standalone_title": "Endocrine system", "y_pos": 0.0, "current_revision_key": "4f8843357d70f7d88b68173567393088ed81effb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/organ-systems/muscular-system", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/organ-systems/muscular-system", "translated_standalone_title": "Muscular system", "translated_title": "Muscular system", "gplus_url": "", "id": "xf089c70c", "old_key_name": null, "hide": false, "title": "Muscular system", "child_data": [{"kind": "Video", "id": 24004}, {"kind": "Video", "id": 24006}, {"kind": "Video", "id": 24008}, {"kind": "Video", "id": "xc5597198"}, {"kind": "Video", "id": 1097595603}, {"kind": "Video", "id": "xe87d0c16"}, {"kind": "Video", "id": "x71e0e24c"}, {"kind": "Video", "id": "xbb0cbe62"}, {"kind": "Video", "id": 1101443158}, {"kind": "Video", "id": "x2ef4988a"}, {"kind": "Video", "id": "x794c36ac"}, {"kind": "Video", "id": "x7926b1ce"}, {"kind": "Exercise", "id": "x2d8abe48"}, {"kind": "Exercise", "id": "xe1cb5041"}], "children": [{"translated_youtube_id": "zopoN2i7ALQ", "relative_url": "/video/myosin-and-actin", "has_questions": false, "keywords": "myosin, actin, muscle", "ka_url": "http://www.khanacademy.org/video/myosin-and-actin", "duration": 578, "translated_title": "Myosin and actin", "translated_description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "id": "24004", "description_html": "

How myosin and actin interact to produce mechanical force. <\/span><\/p>\n", "title": "Myosin and actin", "progress_key": "v24004", "edit_slug": "edit/v/24004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How myosin and actin interact to produce mechanical force. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/myosin-and-actin", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.mp4/zopoN2i7ALQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zopoN2i7ALQ.m3u8/zopoN2i7ALQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zopoN2i7ALQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24004", "sha": "e0ea7897279cd6c52c8bd1d9698fee0e303ed707", "translated_description": "How myosin and actin interact to produce mechanical force. \n", "image_url": "https://img.youtube.com/vi/zopoN2i7ALQ/hqdefault.jpg", "youtube_id": "zopoN2i7ALQ", "content_kind": "Video", "readable_id": "myosin-and-actin"}, {"translated_youtube_id": "LiOfeSsjrB8", "relative_url": "/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "has_questions": false, "keywords": "tropomyosin, troponin, calcium, ion, muscle, contraction", "ka_url": "http://www.khanacademy.org/video/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "duration": 562, "translated_title": "Tropomyosin and troponin and their role in regulating muscle contraction", "translated_description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "id": "24006", "description_html": "

Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.<\/p>\n", "title": "Tropomyosin and troponin and their role in regulating muscle contraction", "progress_key": "v24006", "edit_slug": "edit/v/24006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.mp4/LiOfeSsjrB8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LiOfeSsjrB8.m3u8/LiOfeSsjrB8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LiOfeSsjrB8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24006", "sha": "d874aff2d2911cdef10b5ff719afb5be505782a7", "translated_description": "Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.\n", "image_url": "https://img.youtube.com/vi/LiOfeSsjrB8/hqdefault.jpg", "youtube_id": "LiOfeSsjrB8", "content_kind": "Video", "readable_id": "tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction"}, {"translated_youtube_id": "SauhB2fYQkM", "relative_url": "/video/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "has_questions": false, "keywords": "sarcoplasmic, reticulum, muscle, contraction, motor, neuron", "ka_url": "http://www.khanacademy.org/video/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "duration": 882, "translated_title": "Role of the sarcoplasmic reticulum in muscle cells", "translated_description_html": "

The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.<\/p>\n", "id": "24008", "description_html": "

The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.<\/p>\n", "title": "Role of the sarcoplasmic reticulum in muscle cells", "progress_key": "v24008", "edit_slug": "edit/v/24008", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/role-of-the-sarcoplasmic-reticulum-in-muscle-cells", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:31:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.mp4/SauhB2fYQkM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.mp4/SauhB2fYQkM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SauhB2fYQkM.m3u8/SauhB2fYQkM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SauhB2fYQkM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24008", "sha": "61de9d37444b4b5c94637b2397655eee451427bb", "translated_description": "The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.\n", "image_url": "https://img.youtube.com/vi/SauhB2fYQkM/hqdefault.jpg", "youtube_id": "SauhB2fYQkM", "content_kind": "Video", "readable_id": "role-of-the-sarcoplasmic-reticulum-in-muscle-cells"}, {"translated_youtube_id": "L-_MvjcH0xk", "relative_url": "/video/anatomy-of-a-muscle-cell-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/anatomy-of-a-muscle-cell-1", "duration": 762, "translated_title": "Anatomy of a muscle cell", "translated_description_html": "

Understanding the structure of a muscle cell. By Raja Narayan. <\/span><\/p>\n", "id": "xc5597198", "description_html": "

Understanding the structure of a muscle cell. By Raja Narayan. <\/span><\/p>\n", "title": "Anatomy of a muscle cell", "progress_key": "vxc5597198", "edit_slug": "edit/v/xc5597198", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "Understanding the structure of a muscle cell. By Raja Narayan. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/anatomy-of-a-muscle-cell-1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L-_MvjcH0xk.mp4/L-_MvjcH0xk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L-_MvjcH0xk.mp4/L-_MvjcH0xk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L-_MvjcH0xk.m3u8/L-_MvjcH0xk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L-_MvjcH0xk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc5597198", "sha": "63ac4b2d382bd7aafc8722ccb93509f52420f67c", "translated_description": "Understanding the structure of a muscle cell. By Raja Narayan. \n", "image_url": "https://img.youtube.com/vi/L-_MvjcH0xk/hqdefault.jpg", "youtube_id": "L-_MvjcH0xk", "content_kind": "Video", "readable_id": "anatomy-of-a-muscle-cell-1"}, {"translated_youtube_id": "bwOE1MEginA", "relative_url": "/video/three-types-of-muscle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/three-types-of-muscle", "duration": 689, "translated_title": "Three types of muscle", "translated_description_html": "

Understanding the structure of a muscle cell.<\/p>\n", "id": "1097595603", "description_html": "

Understanding the structure of a muscle cell.<\/p>\n", "title": "Three types of muscle", "progress_key": "v1097595603", "edit_slug": "edit/v/1097595603", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the structure of a muscle cell.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/three-types-of-muscle", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2012-10-21T03:38:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.mp4/bwOE1MEginA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.mp4/bwOE1MEginA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bwOE1MEginA.m3u8/bwOE1MEginA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bwOE1MEginA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1097595603", "sha": "e74f90d9bed3ab3c9c705402847e6d57864c60a1", "translated_description": "Understanding the structure of a muscle cell.\n", "image_url": "https://img.youtube.com/vi/bwOE1MEginA/hqdefault.jpg", "youtube_id": "bwOE1MEginA", "content_kind": "Video", "readable_id": "three-types-of-muscle"}, {"translated_youtube_id": "LwA00uqniiU", "relative_url": "/video/motor-neurons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/motor-neurons", "duration": 439, "translated_title": "Motor neurons", "translated_description_html": "

How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. <\/span><\/p>\n", "id": "xe87d0c16", "description_html": "

How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. <\/span><\/p>\n", "title": "Motor neurons", "progress_key": "vxe87d0c16", "edit_slug": "edit/v/xe87d0c16", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/motor-neurons", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LwA00uqniiU.mp4/LwA00uqniiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LwA00uqniiU.mp4/LwA00uqniiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LwA00uqniiU.m3u8/LwA00uqniiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LwA00uqniiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe87d0c16", "sha": "c27fe81ecb477cda21b7dd384c46f43a84e96f2e", "translated_description": "How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. \n", "image_url": "https://img.youtube.com/vi/LwA00uqniiU/hqdefault.jpg", "youtube_id": "LwA00uqniiU", "content_kind": "Video", "readable_id": "motor-neurons"}, {"translated_youtube_id": "lRJd56BCidg", "relative_url": "/video/neuromuscular-junction", "has_questions": false, "keywords": "neuromuscular junction,", "ka_url": "http://www.khanacademy.org/video/neuromuscular-junction", "duration": 540, "translated_title": "Neuromuscular junction, motor end-plate", "translated_description_html": "

How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.<\/p>\n", "id": "x71e0e24c", "description_html": "

How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.<\/p>\n", "title": "Neuromuscular junction, motor end-plate", "progress_key": "vx71e0e24c", "edit_slug": "edit/v/x71e0e24c", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/neuromuscular-junction", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lRJd56BCidg.mp4/lRJd56BCidg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lRJd56BCidg.mp4/lRJd56BCidg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lRJd56BCidg.m3u8/lRJd56BCidg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lRJd56BCidg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx71e0e24c", "sha": "f818b0ad5e86674330a070ec2900b31b7e79f0f4", "translated_description": "How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.\n", "image_url": "https://img.youtube.com/vi/lRJd56BCidg/hqdefault.jpg", "youtube_id": "lRJd56BCidg", "content_kind": "Video", "readable_id": "neuromuscular-junction"}, {"translated_youtube_id": "l5yMz2lFgx0", "relative_url": "/video/type-1-and-2-muscle-fibers", "has_questions": false, "keywords": "muscle fiber", "ka_url": "http://www.khanacademy.org/video/type-1-and-2-muscle-fibers", "duration": 549, "translated_title": "Type 1 and type 2 muscle fibers", "translated_description_html": "

What's the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. <\/span><\/p>\n", "id": "xbb0cbe62", "description_html": "

What's the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. <\/span><\/p>\n", "title": "Type 1 and type 2 muscle fibers", "progress_key": "vxbb0cbe62", "edit_slug": "edit/v/xbb0cbe62", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "What's the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/type-1-and-2-muscle-fibers", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5yMz2lFgx0.mp4/l5yMz2lFgx0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5yMz2lFgx0.mp4/l5yMz2lFgx0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l5yMz2lFgx0.m3u8/l5yMz2lFgx0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l5yMz2lFgx0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb0cbe62", "sha": "b77953f9b9f1c80a55d0fb82b6b6adcba82af8a1", "translated_description": "What's the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. \n", "image_url": "https://img.youtube.com/vi/l5yMz2lFgx0/hqdefault.jpg", "youtube_id": "l5yMz2lFgx0", "content_kind": "Video", "readable_id": "type-1-and-2-muscle-fibers"}, {"translated_youtube_id": "vv6WBeqw2Nc", "relative_url": "/video/calcium-puts-myosin-to-work", "has_questions": false, "keywords": "calcium, myosin", "ka_url": "http://www.khanacademy.org/video/calcium-puts-myosin-to-work", "duration": 603, "translated_title": "Calcium puts myosin to work", "translated_description_html": "

See exactly how Calcium binds Troponin-C and allows Myosin to do some work. <\/span><\/p>\n", "id": "1101443158", "description_html": "

See exactly how Calcium binds Troponin-C and allows Myosin to do some work. <\/span><\/p>\n", "title": "Calcium puts myosin to work", "progress_key": "v1101443158", "edit_slug": "edit/v/1101443158", "author_names": ["Rishi Desai"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "See exactly how Calcium binds Troponin-C and allows Myosin to do some work. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/calcium-puts-myosin-to-work", "deleted": false, "backup_timestamp": "2013-09-30T18:54:07Z", "date_added": "2012-10-23T03:54:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.mp4/vv6WBeqw2Nc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.mp4/vv6WBeqw2Nc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vv6WBeqw2Nc.m3u8/vv6WBeqw2Nc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vv6WBeqw2Nc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1101443158", "sha": "815c564608c60a97eb41babc8db8d1b17455f2c5", "translated_description": "See exactly how Calcium binds Troponin-C and allows Myosin to do some work. \n", "image_url": "https://img.youtube.com/vi/vv6WBeqw2Nc/hqdefault.jpg", "youtube_id": "vv6WBeqw2Nc", "content_kind": "Video", "readable_id": "calcium-puts-myosin-to-work"}, {"translated_youtube_id": "NqasGo5q5yQ", "relative_url": "/video/muscle-innervation", "has_questions": false, "keywords": "muscle, innervation", "ka_url": "http://www.khanacademy.org/video/muscle-innervation", "duration": 314, "translated_title": "Muscle innervation", "translated_description_html": "

Which muscles do we voluntarily control? Which muscles do we have NO control over? What's the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.  By Raja Narayan.<\/p>\n", "id": "x2ef4988a", "description_html": "

Which muscles do we voluntarily control? Which muscles do we have NO control over? What's the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.  By Raja Narayan.<\/p>\n", "title": "Muscle innervation", "progress_key": "vx2ef4988a", "edit_slug": "edit/v/x2ef4988a", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "Which muscles do we voluntarily control? Which muscles do we have NO control over? What's the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.  By Raja Narayan.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/muscle-innervation", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NqasGo5q5yQ.mp4/NqasGo5q5yQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NqasGo5q5yQ.mp4/NqasGo5q5yQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NqasGo5q5yQ.m3u8/NqasGo5q5yQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NqasGo5q5yQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2ef4988a", "sha": "2c7fa551db9d89b2f12631ef3b79c5ca17083fd0", "translated_description": "Which muscles do we voluntarily control? Which muscles do we have NO control over? What's the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.  By Raja Narayan.\n", "image_url": "https://img.youtube.com/vi/NqasGo5q5yQ/hqdefault.jpg", "youtube_id": "NqasGo5q5yQ", "content_kind": "Video", "readable_id": "muscle-innervation"}, {"translated_youtube_id": "ye28W_OygOw", "relative_url": "/video/autonomic-somatic-nervous-system", "has_questions": false, "keywords": "autonomic nervous system, somatic nervous system", "ka_url": "http://www.khanacademy.org/video/autonomic-somatic-nervous-system", "duration": 228, "translated_title": "Autonomic vs somatic nervous system", "translated_description_html": "

Understand the different divisions of the brain that control our muscles.  By Raja Narayan.<\/p>\n", "id": "x794c36ac", "description_html": "

Understand the different divisions of the brain that control our muscles.  By Raja Narayan.<\/p>\n", "title": "Autonomic vs somatic nervous system", "progress_key": "vx794c36ac", "edit_slug": "edit/v/x794c36ac", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "Understand the different divisions of the brain that control our muscles.  By Raja Narayan.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/autonomic-somatic-nervous-system", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ye28W_OygOw.mp4/ye28W_OygOw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ye28W_OygOw.mp4/ye28W_OygOw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ye28W_OygOw.m3u8/ye28W_OygOw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ye28W_OygOw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx794c36ac", "sha": "075820bf23baf450f5437601ba005ebd1bdf2272", "translated_description": "Understand the different divisions of the brain that control our muscles.  By Raja Narayan.\n", "image_url": "https://img.youtube.com/vi/ye28W_OygOw/hqdefault.jpg", "youtube_id": "ye28W_OygOw", "content_kind": "Video", "readable_id": "autonomic-somatic-nervous-system"}, {"translated_youtube_id": "HfXqyPS5bRo", "relative_url": "/video/thermoregulation-by-muscles", "has_questions": false, "keywords": "thermoregulation, muscles", "ka_url": "http://www.khanacademy.org/video/thermoregulation-by-muscles", "duration": 503, "translated_title": "Thermoregulation by muscles", "translated_description_html": "

Why do we shiver when it's cold? How do our muscles make sure we don't freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.  By Raja Narayan.<\/p>\n", "id": "x7926b1ce", "description_html": "

Why do we shiver when it's cold? How do our muscles make sure we don't freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.  By Raja Narayan.<\/p>\n", "title": "Thermoregulation by muscles", "progress_key": "vx7926b1ce", "edit_slug": "edit/v/x7926b1ce", "author_names": ["Raja Narayan"], "deleted_mod_time": null, "description": "Why do we shiver when it's cold? How do our muscles make sure we don't freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.  By Raja Narayan.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/thermoregulation-by-muscles", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HfXqyPS5bRo.mp4/HfXqyPS5bRo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HfXqyPS5bRo.mp4/HfXqyPS5bRo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HfXqyPS5bRo.m3u8/HfXqyPS5bRo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HfXqyPS5bRo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7926b1ce", "sha": "77caf848727b1695299f998b2eaf183134e4fdb2", "translated_description": "Why do we shiver when it's cold? How do our muscles make sure we don't freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.  By Raja Narayan.\n", "image_url": "https://img.youtube.com/vi/HfXqyPS5bRo/hqdefault.jpg", "youtube_id": "HfXqyPS5bRo", "content_kind": "Video", "readable_id": "thermoregulation-by-muscles"}], "twitter_url": "", "translated_description": "3B: How do our muscles work? When we decide to kick a ball or shake a leg, how do we get our bodies to do that? Which muscles do we control? Which muscles control us? Learn how our muscles work at the smallest, most cellular level. Then see how nature scales up those microscopic processes into a kick or a dance move. Finally, learn how our brain tells muscle to contract and how that helps us respond to changes in temperature or even a lion chasing us. By Raja Narayan.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "3B: How do our muscles work? When we decide to kick a ball or shake a leg, how do we get our bodies to do that? Which muscles do we control? Which muscles control us? Learn how our muscles work at the smallest, most cellular level. Then see how nature scales up those microscopic processes into a kick or a dance move. Finally, learn how our brain tells muscle to contract and how that helps us respond to changes in temperature or even a lion chasing us. By Raja Narayan.", "x_pos": 0.0, "node_slug": "muscular-system", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf089c70c", "topic_page_url": "/science/mcat/organ-systems/muscular-system", "extended_slug": "science/mcat/organ-systems/muscular-system", "slug": "muscular-system", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dc49c2ad51c88de13ab76cfb96c53b592c06bc0f", "standalone_title": "Muscular system", "y_pos": 0.0, "current_revision_key": "dc49c2ad51c88de13ab76cfb96c53b592c06bc0f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/organ-systems/lymphatic-system", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/organ-systems/lymphatic-system", "translated_standalone_title": "Lymphatic system", "translated_title": "Lymphatic system", "gplus_url": "", "id": "xe2dc4d2f", "old_key_name": null, "hide": false, "title": "Lymphatic system", "child_data": [{"kind": "Video", "id": "xd0841695"}, {"kind": "Video", "id": "xb6494b98"}, {"kind": "Video", "id": "x6b3d6ec8"}, {"kind": "Video", "id": "xefd7202b"}, {"kind": "Video", "id": "xcefa425b"}, {"kind": "Exercise", "id": "xc96a87da"}, {"kind": "Exercise", "id": "x76beb655"}], "children": [{"translated_youtube_id": "_GinTV94hUk", "relative_url": "/video/why-do-we-need-a-lymphatic-system", "has_questions": false, "keywords": "lymphatic system", "ka_url": "http://www.khanacademy.org/video/why-do-we-need-a-lymphatic-system", "duration": 572, "translated_title": "Why we need a lymphatic system", "translated_description_html": "

Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.<\/p>\n", "id": "xd0841695", "description_html": "

Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.<\/p>\n", "title": "Why we need a lymphatic system", "progress_key": "vxd0841695", "edit_slug": "edit/v/xd0841695", "author_names": ["Patrick van Nieuwenhuizen"], "deleted_mod_time": null, "description": "Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/why-do-we-need-a-lymphatic-system", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_GinTV94hUk.mp4/_GinTV94hUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_GinTV94hUk.mp4/_GinTV94hUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_GinTV94hUk.m3u8/_GinTV94hUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_GinTV94hUk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd0841695", "sha": "87673938a0388270a575146ab4a7fcba7a8fb639", "translated_description": "Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.\n", "image_url": "https://img.youtube.com/vi/_GinTV94hUk/hqdefault.jpg", "youtube_id": "_GinTV94hUk", "content_kind": "Video", "readable_id": "why-do-we-need-a-lymphatic-system"}, {"translated_youtube_id": "CLneY6SoPi0", "relative_url": "/video/lymphatic-vessels-move-fluid", "has_questions": false, "keywords": "lymphatic vessel", "ka_url": "http://www.khanacademy.org/video/lymphatic-vessels-move-fluid", "duration": 445, "translated_title": "How lymphatic vessels move fluid", "translated_description_html": "

Find out how the body's mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "id": "xb6494b98", "description_html": "

Find out how the body's mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "title": "How lymphatic vessels move fluid", "progress_key": "vxb6494b98", "edit_slug": "edit/v/xb6494b98", "author_names": ["Patrick van Nieuwenhuizen"], "deleted_mod_time": null, "description": "Find out how the body's mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/lymphatic-vessels-move-fluid", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CLneY6SoPi0.mp4/CLneY6SoPi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CLneY6SoPi0.mp4/CLneY6SoPi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CLneY6SoPi0.m3u8/CLneY6SoPi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CLneY6SoPi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb6494b98", "sha": "03937d5e30ee2a09d9c0fbbaa89f271b456c51b1", "translated_description": "Find out how the body's mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. \n", "image_url": "https://img.youtube.com/vi/CLneY6SoPi0/hqdefault.jpg", "youtube_id": "CLneY6SoPi0", "content_kind": "Video", "readable_id": "lymphatic-vessels-move-fluid"}, {"translated_youtube_id": "kjLwVqxwaIM", "relative_url": "/video/lymphatic-system-immunity", "has_questions": false, "keywords": "lymphatic system", "ka_url": "http://www.khanacademy.org/video/lymphatic-system-immunity", "duration": 583, "translated_title": "The lymphatic system's role in immunity", "translated_description_html": "

Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.<\/span><\/p>\n", "id": "x6b3d6ec8", "description_html": "

Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.<\/span><\/p>\n", "title": "The lymphatic system's role in immunity", "progress_key": "vx6b3d6ec8", "edit_slug": "edit/v/x6b3d6ec8", "author_names": ["Patrick van Nieuwenhuizen"], "deleted_mod_time": null, "description": "Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/lymphatic-system-immunity", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kjLwVqxwaIM.mp4/kjLwVqxwaIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kjLwVqxwaIM.mp4/kjLwVqxwaIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kjLwVqxwaIM.m3u8/kjLwVqxwaIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kjLwVqxwaIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6b3d6ec8", "sha": "cb5b40cc668fd16af44dafbab475c4990f61962d", "translated_description": "Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.\n", "image_url": "https://img.youtube.com/vi/kjLwVqxwaIM/hqdefault.jpg", "youtube_id": "kjLwVqxwaIM", "content_kind": "Video", "readable_id": "lymphatic-system-immunity"}, {"translated_youtube_id": "EHUlWm0kFTA", "relative_url": "/video/lipid-and-protein-transport-lymphatic-system", "has_questions": false, "keywords": "lipid, protein, lymphatic system", "ka_url": "http://www.khanacademy.org/video/lipid-and-protein-transport-lymphatic-system", "duration": 423, "translated_title": "Lipid and protein transport in the lymphatic system", "translated_description_html": "

Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "id": "xefd7202b", "description_html": "

Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "title": "Lipid and protein transport in the lymphatic system", "progress_key": "vxefd7202b", "edit_slug": "edit/v/xefd7202b", "author_names": ["Patrick van Nieuwenhuizen"], "deleted_mod_time": null, "description": "Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/lipid-and-protein-transport-lymphatic-system", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EHUlWm0kFTA.mp4/EHUlWm0kFTA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EHUlWm0kFTA.mp4/EHUlWm0kFTA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EHUlWm0kFTA.m3u8/EHUlWm0kFTA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EHUlWm0kFTA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxefd7202b", "sha": "7ad9821f50e7c9bcc4eefa10d919b854d2a7861a", "translated_description": "Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. \n", "image_url": "https://img.youtube.com/vi/EHUlWm0kFTA/hqdefault.jpg", "youtube_id": "EHUlWm0kFTA", "content_kind": "Video", "readable_id": "lipid-and-protein-transport-lymphatic-system"}, {"translated_youtube_id": "2Bq2xopLew8", "relative_url": "/video/what-is-lymph", "has_questions": false, "keywords": "lymph", "ka_url": "http://www.khanacademy.org/video/what-is-lymph", "duration": 528, "translated_title": "What is actually in lymph", "translated_description_html": "

Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "id": "xcefa425b", "description_html": "

Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. <\/span><\/p>\n", "title": "What is actually in lymph", "progress_key": "vxcefa425b", "edit_slug": "edit/v/xcefa425b", "author_names": ["Patrick van Nieuwenhuizen"], "deleted_mod_time": null, "description": "Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/what-is-lymph", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2Bq2xopLew8.mp4/2Bq2xopLew8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2Bq2xopLew8.mp4/2Bq2xopLew8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2Bq2xopLew8.m3u8/2Bq2xopLew8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2Bq2xopLew8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcefa425b", "sha": "8139c080b06153842cab96d4931267efa1ef7882", "translated_description": "Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. \n", "image_url": "https://img.youtube.com/vi/2Bq2xopLew8/hqdefault.jpg", "youtube_id": "2Bq2xopLew8", "content_kind": "Video", "readable_id": "what-is-lymph"}], "twitter_url": "", "translated_description": "3B: Welcome to the lymphatic system! Learn about how it is a critical part of the circulatory system. Find out how it comes to the rescue of the cardiovascular system and the immune system. Also discover how it moves fluid in one direction, like blood, but without a heart! By Patrick van Nieuwenhuizen.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "3B: Welcome to the lymphatic system! Learn about how it is a critical part of the circulatory system. Find out how it comes to the rescue of the cardiovascular system and the immune system. Also discover how it moves fluid in one direction, like blood, but without a heart! By Patrick van Nieuwenhuizen.", "x_pos": 0.0, "node_slug": "lymphatic-system", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe2dc4d2f", "topic_page_url": "/science/mcat/organ-systems/lymphatic-system", "extended_slug": "science/mcat/organ-systems/lymphatic-system", "slug": "lymphatic-system", "tags": ["lymphatic%20system"], "kind": "Topic", "in_topic_browser": false, "sha": "73e46ff7f0a8a4b1ace3041ab7bb2986b96cd2ca", "standalone_title": "Lymphatic system", "y_pos": 0.0, "current_revision_key": "73e46ff7f0a8a4b1ace3041ab7bb2986b96cd2ca", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 3: Complex systems of tissues and organs sense the internal and external environments of multicellular organisms, and through integrated functioning, maintain a stable internal environment within an ever-changing external environment.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 3: Complex systems of tissues and organs sense the internal and external environments of multicellular organisms, and through integrated functioning, maintain a stable internal environment within an ever-changing external environment.", "x_pos": 0.0, "node_slug": "organ-systems", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axab69e2b0", "topic_page_url": "/science/mcat/organ-systems", "extended_slug": "science/mcat/organ-systems", "slug": "organ-systems", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "21965284ee8837e4357a862cc8575fad6fe641ef", "standalone_title": "Organ systems", "y_pos": 0.0, "current_revision_key": "21965284ee8837e4357a862cc8575fad6fe641ef", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes", "translated_standalone_title": "Physical processes", "translated_title": "Physical processes", "gplus_url": "", "id": "xa7e68c2d", "old_key_name": null, "hide": false, "title": "Physical processes", "child_data": [{"kind": "Topic", "id": "x9e20005d"}, {"kind": "Topic", "id": "x97c12dca"}, {"kind": "Topic", "id": "x0916c6ff"}, {"kind": "Topic", "id": "x317a2931"}, {"kind": "Topic", "id": "x74a26772"}, {"kind": "Topic", "id": "x664ba0fe"}, {"kind": "Topic", "id": "xdf0451b2"}, {"kind": "Topic", "id": "x5027b2fc"}, {"kind": "Topic", "id": "x96517682"}, {"kind": "Topic", "id": "x01eb1ed2"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/vectors-and-scalars", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/vectors-and-scalars", "translated_standalone_title": "Vectors and scalars", "translated_title": "Vectors and scalars", "gplus_url": "", "id": "x9e20005d", "old_key_name": null, "hide": false, "title": "Vectors and scalars", "child_data": [{"kind": "Video", "id": 113633126}, {"kind": "Video", "id": 119166564}, {"kind": "Video", "id": 25609}, {"kind": "Video", "id": 25611}, {"kind": "Exercise", "id": "x0dad984e"}, {"kind": "Exercise", "id": "xfbe7a1c0"}], "children": [{"translated_youtube_id": "ihNZlp7iUHE", "relative_url": "/video/introduction-to-vectors-and-scalars", "has_questions": false, "keywords": "physics, motion, kinematics", "ka_url": "http://www.khanacademy.org/video/introduction-to-vectors-and-scalars", "duration": 519, "translated_title": "Introduction to vectors and scalars", "translated_description_html": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "id": "113633126", "description_html": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "title": "Introduction to vectors and scalars", "progress_key": "v113633126", "edit_slug": "edit/v/113633126", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "extra_properties": null, "node_slug": "v/introduction-to-vectors-and-scalars", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.mp4/ihNZlp7iUHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.mp4/ihNZlp7iUHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ihNZlp7iUHE.m3u8/ihNZlp7iUHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ihNZlp7iUHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633126", "sha": "a9f50c5943730d74fc6689fcf9229bd4a9cd8e9a", "translated_description": "Distance, displacement, speed and velocity. Difference between vectors and scalars", "image_url": "https://img.youtube.com/vi/ihNZlp7iUHE/hqdefault.jpg", "youtube_id": "ihNZlp7iUHE", "content_kind": "Video", "readable_id": "introduction-to-vectors-and-scalars"}, {"translated_youtube_id": "xp6ibuI8UuQ", "relative_url": "/video/visualizing-vectors-in-2-dimensions", "has_questions": false, "keywords": "physics, vectors, dimensions, components", "ka_url": "http://www.khanacademy.org/video/visualizing-vectors-in-2-dimensions", "duration": 774, "translated_title": "Visualizing vectors in 2 dimensions", "translated_description_html": "Visualizing, adding and breaking down vectors in 2 dimensions", "id": "119166564", "description_html": "Visualizing, adding and breaking down vectors in 2 dimensions", "title": "Visualizing vectors in 2 dimensions", "progress_key": "v119166564", "edit_slug": "edit/v/119166564", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Visualizing, adding and breaking down vectors in 2 dimensions", "extra_properties": null, "node_slug": "v/visualizing-vectors-in-2-dimensions", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-06-16T23:26:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.m3u8/xp6ibuI8UuQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xp6ibuI8UuQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v119166564", "sha": "2c73696528ddc982a007e26f22bc0c04a51452b1", "translated_description": "Visualizing, adding and breaking down vectors in 2 dimensions", "image_url": "https://img.youtube.com/vi/xp6ibuI8UuQ/hqdefault.jpg", "youtube_id": "xp6ibuI8UuQ", "content_kind": "Video", "readable_id": "visualizing-vectors-in-2-dimensions"}, {"translated_youtube_id": "FaF3v-ezbSk", "relative_url": "/video/unit-vector-notation", "has_questions": false, "keywords": "unit, vector, physics, calculus, vectors", "ka_url": "http://www.khanacademy.org/video/unit-vector-notation", "duration": 594, "translated_title": "Unit vector notation", "translated_description_html": "Expressing a vector as the scaled sum of unit vectors", "id": "25609", "description_html": "Expressing a vector as the scaled sum of unit vectors", "title": "Unit vector notation", "progress_key": "v25609", "edit_slug": "edit/v/25609", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Expressing a vector as the scaled sum of unit vectors", "extra_properties": null, "node_slug": "v/unit-vector-notation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.m3u8/FaF3v-ezbSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FaF3v-ezbSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25609", "sha": "d2daf8e9c2aa5de4cc2419a5156d39bed2205f81", "translated_description": "Expressing a vector as the scaled sum of unit vectors", "image_url": "https://img.youtube.com/vi/FaF3v-ezbSk/hqdefault.jpg", "youtube_id": "FaF3v-ezbSk", "content_kind": "Video", "readable_id": "unit-vector-notation"}, {"translated_youtube_id": "595Tiga1gIg", "relative_url": "/video/unit-vector-notation--part-2", "has_questions": false, "keywords": "adding, vectors, physics, calculus", "ka_url": "http://www.khanacademy.org/video/unit-vector-notation--part-2", "duration": 553, "translated_title": "Unit vector notation (part 2)", "translated_description_html": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "id": "25611", "description_html": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "title": "Unit vector notation (part 2)", "progress_key": "v25611", "edit_slug": "edit/v/25611", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "extra_properties": null, "node_slug": "v/unit-vector-notation--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:50:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.mp4/595Tiga1gIg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.mp4/595Tiga1gIg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/595Tiga1gIg.m3u8/595Tiga1gIg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=595Tiga1gIg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25611", "sha": "eb793819076b6035b3071436e3792c913c19aec9", "translated_description": "More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method", "image_url": "https://img.youtube.com/vi/595Tiga1gIg/hqdefault.jpg", "youtube_id": "595Tiga1gIg", "content_kind": "Video", "readable_id": "unit-vector-notation--part-2"}], "twitter_url": "", "translated_description": "4A: Find out what makes vectors different from scalars! Find out how to break vectors into components, and go over the different ways to represent vectors. By Sal.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4A: Find out what makes vectors different from scalars! Find out how to break vectors into components, and go over the different ways to represent vectors. By Sal.", "x_pos": 0.0, "node_slug": "vectors-and-scalars", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-17T19:58:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9e20005d", "topic_page_url": "/science/mcat/physical-processes/vectors-and-scalars", "extended_slug": "science/mcat/physical-processes/vectors-and-scalars", "slug": "vectors-and-scalars", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9b818ce37a73be30f6f323d11d163a723edb06bc", "standalone_title": "Vectors and scalars", "y_pos": 0.0, "current_revision_key": "9b818ce37a73be30f6f323d11d163a723edb06bc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/speed-and-velocity", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/speed-and-velocity", "translated_standalone_title": "Speed and velocity", "translated_title": "Speed and velocity", "gplus_url": "", "id": "x97c12dca", "old_key_name": null, "hide": false, "title": "Speed and velocity", "child_data": [{"kind": "Video", "id": 113633127}, {"kind": "Video", "id": 113633128}, {"kind": "Video", "id": 113633129}, {"kind": "Video", "id": "xc7e30831"}, {"kind": "Exercise", "id": "x8427de18"}, {"kind": "Exercise", "id": "x915d4794"}], "children": [{"translated_youtube_id": "oRKxmXwLvUU", "relative_url": "/video/calculating-average-velocity-or-speed", "has_questions": false, "keywords": "Calculating, Average, Velocity, or, Speed", "ka_url": "http://www.khanacademy.org/video/calculating-average-velocity-or-speed", "duration": 705, "translated_title": "Calculating average velocity or speed", "translated_description_html": "Example of calculating speed and velocity", "id": "113633127", "description_html": "Example of calculating speed and velocity", "title": "Calculating average velocity or speed", "progress_key": "v113633127", "edit_slug": "edit/v/113633127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of calculating speed and velocity", "extra_properties": null, "node_slug": "v/calculating-average-velocity-or-speed", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.m3u8/oRKxmXwLvUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oRKxmXwLvUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633127", "sha": "6259db943206b274aac769ed1d947e8528f92836", "translated_description": "Example of calculating speed and velocity", "image_url": "https://img.youtube.com/vi/oRKxmXwLvUU/hqdefault.jpg", "youtube_id": "oRKxmXwLvUU", "content_kind": "Video", "readable_id": "calculating-average-velocity-or-speed"}, {"translated_youtube_id": "awzOvyMKeMA", "relative_url": "/video/solving-for-time", "has_questions": false, "keywords": "velocity, physics, mechanics", "ka_url": "http://www.khanacademy.org/video/solving-for-time", "duration": 575, "translated_title": "Solving for time", "translated_description_html": "Simple example of solving for time given distance and rate", "id": "113633128", "description_html": "Simple example of solving for time given distance and rate", "title": "Solving for time", "progress_key": "v113633128", "edit_slug": "edit/v/113633128", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Simple example of solving for time given distance and rate", "extra_properties": null, "node_slug": "v/solving-for-time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.m3u8/awzOvyMKeMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=awzOvyMKeMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633128", "sha": "5eec42b50ec4762306cdb84a1114cd75602ddcfd", "translated_description": "Simple example of solving for time given distance and rate", "image_url": "https://img.youtube.com/vi/awzOvyMKeMA/hqdefault.jpg", "youtube_id": "awzOvyMKeMA", "content_kind": "Video", "readable_id": "solving-for-time"}, {"translated_youtube_id": "lQ-dvt3V4yQ", "relative_url": "/video/displacement-from-time-and-velocity-example", "has_questions": false, "keywords": "physics, displacement, distance, rate, time", "ka_url": "http://www.khanacademy.org/video/displacement-from-time-and-velocity-example", "duration": 300, "translated_title": "Displacement from time and velocity example", "translated_description_html": "Worked example of calculating displacement from time and velocity", "id": "113633129", "description_html": "Worked example of calculating displacement from time and velocity", "title": "Displacement from time and velocity example", "progress_key": "v113633129", "edit_slug": "edit/v/113633129", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Worked example of calculating displacement from time and velocity", "extra_properties": null, "node_slug": "v/displacement-from-time-and-velocity-example", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-11T23:26:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.m3u8/lQ-dvt3V4yQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lQ-dvt3V4yQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v113633129", "sha": "53184ecd02a397a6093cf5d799c1f9305cc09e54", "translated_description": "Worked example of calculating displacement from time and velocity", "image_url": "https://img.youtube.com/vi/lQ-dvt3V4yQ/hqdefault.jpg", "youtube_id": "lQ-dvt3V4yQ", "content_kind": "Video", "readable_id": "displacement-from-time-and-velocity-example"}, {"translated_youtube_id": "lb8du4HueQA", "relative_url": "/video/instantaneous-speed-and-velocity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/instantaneous-speed-and-velocity", "duration": 278, "translated_title": "Instantaneous speed and velocity", "translated_description_html": "", "id": "xc7e30831", "description_html": "", "title": "Instantaneous speed and velocity", "progress_key": "vxc7e30831", "edit_slug": "edit/v/xc7e30831", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/instantaneous-speed-and-velocity", "deleted": false, "backup_timestamp": "2013-10-22T04:01:06Z", "date_added": "2013-10-22T04:01:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lb8du4HueQA.mp4/lb8du4HueQA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lb8du4HueQA.mp4/lb8du4HueQA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lb8du4HueQA.m3u8/lb8du4HueQA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lb8du4HueQA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc7e30831", "sha": "b67ccc75c96c0a61b42c2bacddc9f0a1fbf480c1", "translated_description": "", "image_url": "https://img.youtube.com/vi/lb8du4HueQA/hqdefault.jpg", "youtube_id": "lb8du4HueQA", "content_kind": "Video", "readable_id": "instantaneous-speed-and-velocity"}], "twitter_url": "", "translated_description": "4A: Think to calculate speed and velocity, and then go on to learn about average and instantaneous speed and velocity. By Sal and David SantoPietro.\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4A: Think to calculate speed and velocity, and then go on to learn about average and instantaneous speed and velocity. By Sal and David SantoPietro.\n", "x_pos": 0.0, "node_slug": "speed-and-velocity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-22T04:01:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax97c12dca", "topic_page_url": "/science/mcat/physical-processes/speed-and-velocity", "extended_slug": "science/mcat/physical-processes/speed-and-velocity", "slug": "speed-and-velocity", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ed5ad9a9b09ea82342a87680809488d688c224d3", "standalone_title": "Speed and velocity", "y_pos": 0.0, "current_revision_key": "ed5ad9a9b09ea82342a87680809488d688c224d3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/acceleration-mcat", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/acceleration-mcat", "translated_standalone_title": "Acceleration", "translated_title": "Acceleration", "gplus_url": "", "id": "x0916c6ff", "old_key_name": null, "hide": false, "title": "Acceleration", "child_data": [{"kind": "Video", "id": 115608380}, {"kind": "Video", "id": 115608382}, {"kind": "Video", "id": 115608385}, {"kind": "Video", "id": 115608383}, {"kind": "Video", "id": 115608384}, {"kind": "Exercise", "id": "x990d271a"}, {"kind": "Exercise", "id": "x88e7282e"}], "children": [{"translated_youtube_id": "FOkQszg1-j8", "relative_url": "/video/acceleration", "has_questions": false, "keywords": "physics, kinematics", "ka_url": "http://www.khanacademy.org/video/acceleration", "duration": 546, "translated_title": "Acceleration", "translated_description_html": "Calculating the acceleration of a Porshe", "id": "115608380", "description_html": "Calculating the acceleration of a Porshe", "title": "Acceleration", "progress_key": "v115608380", "edit_slug": "edit/v/115608380", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating the acceleration of a Porshe", "extra_properties": null, "node_slug": "v/acceleration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.m3u8/FOkQszg1-j8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FOkQszg1-j8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608380", "sha": "cd89c10a4878f67736ae324aee56647063796cdc", "translated_description": "Calculating the acceleration of a Porshe", "image_url": "https://img.youtube.com/vi/FOkQszg1-j8/hqdefault.jpg", "youtube_id": "FOkQszg1-j8", "content_kind": "Video", "readable_id": "acceleration"}, {"translated_youtube_id": "p4DTormtEG0", "relative_url": "/video/airbus-a380-take-off-time", "has_questions": false, "keywords": "acceleration, velocity, physics", "ka_url": "http://www.khanacademy.org/video/airbus-a380-take-off-time", "duration": 488, "translated_title": "Airbus A380 take-off time", "translated_description_html": "Figuring how long it takes an a380 to take off given a constant acceleration", "id": "115608382", "description_html": "Figuring how long it takes an a380 to take off given a constant acceleration", "title": "Airbus A380 take-off time", "progress_key": "v115608382", "edit_slug": "edit/v/115608382", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring how long it takes an a380 to take off given a constant acceleration", "extra_properties": null, "node_slug": "v/airbus-a380-take-off-time", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.mp4/p4DTormtEG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.mp4/p4DTormtEG0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p4DTormtEG0.m3u8/p4DTormtEG0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p4DTormtEG0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608382", "sha": "d25e972f46e5596c31558aec8b91e8514d333a43", "translated_description": "Figuring how long it takes an a380 to take off given a constant acceleration", "image_url": "https://img.youtube.com/vi/p4DTormtEG0/hqdefault.jpg", "youtube_id": "p4DTormtEG0", "content_kind": "Video", "readable_id": "airbus-a380-take-off-time"}, {"translated_youtube_id": "fQt69_Q2CTw", "relative_url": "/video/airbus-a380-take-off-distance", "has_questions": false, "keywords": "airbus, physics, airport, runway", "ka_url": "http://www.khanacademy.org/video/airbus-a380-take-off-distance", "duration": 329, "translated_title": "Airbus A380 take-off distance", "translated_description_html": "How long of a runway does as a380 need", "id": "115608385", "description_html": "How long of a runway does as a380 need", "title": "Airbus A380 take-off distance", "progress_key": "v115608385", "edit_slug": "edit/v/115608385", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How long of a runway does as a380 need", "extra_properties": null, "node_slug": "v/airbus-a380-take-off-distance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.mp4/fQt69_Q2CTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.mp4/fQt69_Q2CTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fQt69_Q2CTw.m3u8/fQt69_Q2CTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fQt69_Q2CTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608385", "sha": "43321c413a300d378388678605c54cb8d8d8ae03", "translated_description": "How long of a runway does as a380 need", "image_url": "https://img.youtube.com/vi/fQt69_Q2CTw/hqdefault.jpg", "youtube_id": "fQt69_Q2CTw", "content_kind": "Video", "readable_id": "airbus-a380-take-off-distance"}, {"translated_youtube_id": "d-_eqgj5-K8", "relative_url": "/video/why-distance-is-area-under-velocity-time-line", "has_questions": false, "keywords": "physics, area, integral, accleration, slope", "ka_url": "http://www.khanacademy.org/video/why-distance-is-area-under-velocity-time-line", "duration": 566, "translated_title": "Why distance is area under velocity-time line", "translated_description_html": "Understanding why distance is area under velocity-time line", "id": "115608383", "description_html": "Understanding why distance is area under velocity-time line", "title": "Why distance is area under velocity-time line", "progress_key": "v115608383", "edit_slug": "edit/v/115608383", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding why distance is area under velocity-time line", "extra_properties": null, "node_slug": "v/why-distance-is-area-under-velocity-time-line", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.m3u8/d-_eqgj5-K8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d-_eqgj5-K8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608383", "sha": "689d8b25877f1fdec6b25526779511294f96777f", "translated_description": "Understanding why distance is area under velocity-time line", "image_url": "https://img.youtube.com/vi/d-_eqgj5-K8/hqdefault.jpg", "youtube_id": "d-_eqgj5-K8", "content_kind": "Video", "readable_id": "why-distance-is-area-under-velocity-time-line"}, {"translated_youtube_id": "MAS6mBRZZXA", "relative_url": "/video/average-velocity-for-constant-acceleration", "has_questions": false, "keywords": "distance, kinematics, average, acceleration, physics", "ka_url": "http://www.khanacademy.org/video/average-velocity-for-constant-acceleration", "duration": 850, "translated_title": "Average velocity for constant acceleration", "translated_description_html": "Calculating average velocity when acceleration is constant", "id": "115608384", "description_html": "Calculating average velocity when acceleration is constant", "title": "Average velocity for constant acceleration", "progress_key": "v115608384", "edit_slug": "edit/v/115608384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Calculating average velocity when acceleration is constant", "extra_properties": null, "node_slug": "v/average-velocity-for-constant-acceleration", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-13T23:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.m3u8/MAS6mBRZZXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MAS6mBRZZXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v115608384", "sha": "35811598b5760cbc70b7c6d819747c98fec64fcc", "translated_description": "Calculating average velocity when acceleration is constant", "image_url": "https://img.youtube.com/vi/MAS6mBRZZXA/hqdefault.jpg", "youtube_id": "MAS6mBRZZXA", "content_kind": "Video", "readable_id": "average-velocity-for-constant-acceleration"}], "twitter_url": "", "translated_description": "4A: Learn how to calculate acceleration, and how distance, velocity, and acceleration can be related to one another using velocity graphs. By Sal.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4A: Learn how to calculate acceleration, and how distance, velocity, and acceleration can be related to one another using velocity graphs. By Sal.", "x_pos": 0.0, "node_slug": "acceleration-mcat", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-17T19:58:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0916c6ff", "topic_page_url": "/science/mcat/physical-processes/acceleration-mcat", "extended_slug": "science/mcat/physical-processes/acceleration-mcat", "slug": "acceleration-mcat", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d574fd1d9ec80399ddbe04347d88a3a08ce33cd2", "standalone_title": "Acceleration", "y_pos": 0.0, "current_revision_key": "d574fd1d9ec80399ddbe04347d88a3a08ce33cd2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/force-of-tension", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/force-of-tension", "translated_standalone_title": "Force of tension", "translated_title": "Force of tension", "gplus_url": "", "id": "x317a2931", "old_key_name": null, "hide": false, "title": "Force of tension", "child_data": [{"kind": "Video", "id": 25561}, {"kind": "Video", "id": 25563}, {"kind": "Video", "id": 25573}, {"kind": "Exercise", "id": "x31fa91b0"}, {"kind": "Exercise", "id": "x8e9f0dd3"}], "children": [{"translated_youtube_id": "_UrfHFEBIpU", "relative_url": "/video/introduction-to-tension", "has_questions": false, "keywords": "tension, force, vectors, physics, mass, newton, trigonometry", "ka_url": "http://www.khanacademy.org/video/introduction-to-tension", "duration": 619, "translated_title": "Introduction to tension", "translated_description_html": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "id": "25561", "description_html": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "title": "Introduction to tension", "progress_key": "v25561", "edit_slug": "edit/v/25561", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "extra_properties": null, "node_slug": "v/introduction-to-tension", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:49:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.mp4/_UrfHFEBIpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.mp4/_UrfHFEBIpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_UrfHFEBIpU.m3u8/_UrfHFEBIpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_UrfHFEBIpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25561", "sha": "bf8af355161d73926165908911b8946d02feedf2", "translated_description": "An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them.", "image_url": "https://img.youtube.com/vi/_UrfHFEBIpU/hqdefault.jpg", "youtube_id": "_UrfHFEBIpU", "content_kind": "Video", "readable_id": "introduction-to-tension"}, {"translated_youtube_id": "zwDJ1wVr7Is", "relative_url": "/video/tension--part-2", "has_questions": false, "keywords": "force, tension, vectors, physics, algebra, math, mass", "ka_url": "http://www.khanacademy.org/video/tension--part-2", "duration": 619, "translated_title": "Introduction to tension (part 2)", "translated_description_html": "A slightly more difficult tension problem.", "id": "25563", "description_html": "A slightly more difficult tension problem.", "title": "Introduction to tension (part 2)", "progress_key": "v25563", "edit_slug": "edit/v/25563", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A slightly more difficult tension problem.", "extra_properties": null, "node_slug": "v/tension--part-2", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:49:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.mp4/zwDJ1wVr7Is.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.mp4/zwDJ1wVr7Is.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zwDJ1wVr7Is.m3u8/zwDJ1wVr7Is.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zwDJ1wVr7Is&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25563", "sha": "ecab9cc6c15525c24cfb63bc7b75b5fbd84a39e4", "translated_description": "A slightly more difficult tension problem.", "image_url": "https://img.youtube.com/vi/zwDJ1wVr7Is/hqdefault.jpg", "youtube_id": "zwDJ1wVr7Is", "content_kind": "Video", "readable_id": "tension--part-2"}, {"translated_youtube_id": "52wxpYnS64U", "relative_url": "/video/tension-in-an-accelerating-system-and-pie-in-the-face", "has_questions": false, "keywords": "tension, pie, friction, mass, acceleration, physics", "ka_url": "http://www.khanacademy.org/video/tension-in-an-accelerating-system-and-pie-in-the-face", "duration": 568, "translated_title": "Tension in an accelerating system and pie in the face", "translated_description_html": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "id": "25573", "description_html": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "title": "Tension in an accelerating system and pie in the face", "progress_key": "v25573", "edit_slug": "edit/v/25573", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "extra_properties": null, "node_slug": "v/tension-in-an-accelerating-system-and-pie-in-the-face", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:49:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.m3u8/52wxpYnS64U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=52wxpYnS64U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25573", "sha": "6eb85b8d6b0a5b3ad076814b6c0afc1cd4a5f709", "translated_description": "The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face.", "image_url": "https://img.youtube.com/vi/52wxpYnS64U/hqdefault.jpg", "youtube_id": "52wxpYnS64U", "content_kind": "Video", "readable_id": "tension-in-an-accelerating-system-and-pie-in-the-face"}], "twitter_url": "", "translated_description": "4A: Discover the force of tension and how we can use it to solve very interesting problems! By Sal.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4A: Discover the force of tension and how we can use it to solve very interesting problems! By Sal.", "x_pos": 0.0, "node_slug": "force-of-tension", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-17T19:58:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax317a2931", "topic_page_url": "/science/mcat/physical-processes/force-of-tension", "extended_slug": "science/mcat/physical-processes/force-of-tension", "slug": "force-of-tension", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "96ce727a63a67990524f8cef9d357cb13a62dd5b", "standalone_title": "Force of tension", "y_pos": 0.0, "current_revision_key": "96ce727a63a67990524f8cef9d357cb13a62dd5b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/normal-forces", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/normal-forces", "translated_standalone_title": "Normal forces", "translated_title": "Normal forces", "gplus_url": "", "id": "x74a26772", "old_key_name": null, "hide": false, "title": "Normal forces", "child_data": [{"kind": "Video", "id": 897591106}, {"kind": "Video", "id": 121089538}, {"kind": "Video", "id": 123032799}, {"kind": "Video", "id": 897500670}, {"kind": "Video", "id": 897521821}, {"kind": "Exercise", "id": "xa5e3b587"}, {"kind": "Exercise", "id": "x4ff6972e"}], "children": [{"translated_youtube_id": "oNgo9bbDi7Q", "relative_url": "/video/balanced-and-unbalanced-forces", "has_questions": "live", "keywords": "balanced, forces, newton's, laws, net, force", "ka_url": "http://www.khanacademy.org/video/balanced-and-unbalanced-forces", "duration": 491, "translated_title": "Balanced and unbalanced forces", "translated_description_html": "Primer on identifying balanced and unbalanced forces", "id": "897591106", "description_html": "Primer on identifying balanced and unbalanced forces", "title": "Balanced and unbalanced forces", "progress_key": "v897591106", "edit_slug": "edit/v/897591106", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Primer on identifying balanced and unbalanced forces", "extra_properties": {"original_url": ""}, "node_slug": "v/balanced-and-unbalanced-forces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.mp4/oNgo9bbDi7Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.mp4/oNgo9bbDi7Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oNgo9bbDi7Q.m3u8/oNgo9bbDi7Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oNgo9bbDi7Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897591106", "sha": "91abf103387487a3198fae6ba56ed87c79df37d6", "translated_description": "Primer on identifying balanced and unbalanced forces", "image_url": "https://img.youtube.com/vi/oNgo9bbDi7Q/hqdefault.jpg", "youtube_id": "oNgo9bbDi7Q", "content_kind": "Video", "readable_id": "balanced-and-unbalanced-forces"}, {"translated_youtube_id": "1WOrgrIcQZU", "relative_url": "/video/normal-force-and-contact-force", "has_questions": false, "keywords": "normal, force, contact, physics", "ka_url": "http://www.khanacademy.org/video/normal-force-and-contact-force", "duration": 438, "translated_title": "Normal force and contact force", "translated_description_html": "The force that keeps a block of ice from falling towards the center of the earth", "id": "121089538", "description_html": "The force that keeps a block of ice from falling towards the center of the earth", "title": "Normal force and contact force", "progress_key": "v121089538", "edit_slug": "edit/v/121089538", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The force that keeps a block of ice from falling towards the center of the earth", "extra_properties": null, "node_slug": "v/normal-force-and-contact-force", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-18T23:27:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.m3u8/1WOrgrIcQZU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1WOrgrIcQZU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v121089538", "sha": "e3d66adacfcc86243af67a467511258963687533", "translated_description": "The force that keeps a block of ice from falling towards the center of the earth", "image_url": "https://img.youtube.com/vi/1WOrgrIcQZU/hqdefault.jpg", "youtube_id": "1WOrgrIcQZU", "content_kind": "Video", "readable_id": "normal-force-and-contact-force"}, {"translated_youtube_id": "hoRsHNSrMpc", "relative_url": "/video/normal-force-in-an-elevator", "has_questions": false, "keywords": "physics, force, newton's, first, law", "ka_url": "http://www.khanacademy.org/video/normal-force-in-an-elevator", "duration": 709, "translated_title": "Normal force in an elevator", "translated_description_html": "How the normal force changes when an elevator accelerates", "id": "123032799", "description_html": "How the normal force changes when an elevator accelerates", "title": "Normal force in an elevator", "progress_key": "v123032799", "edit_slug": "edit/v/123032799", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the normal force changes when an elevator accelerates", "extra_properties": null, "node_slug": "v/normal-force-in-an-elevator", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-06-20T23:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.mp4/hoRsHNSrMpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.mp4/hoRsHNSrMpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hoRsHNSrMpc.m3u8/hoRsHNSrMpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hoRsHNSrMpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v123032799", "sha": "a2998f34e90b543614236eca0e9e14aade719e06", "translated_description": "How the normal force changes when an elevator accelerates", "image_url": "https://img.youtube.com/vi/hoRsHNSrMpc/hqdefault.jpg", "youtube_id": "hoRsHNSrMpc", "content_kind": "Video", "readable_id": "normal-force-in-an-elevator"}, {"translated_youtube_id": "CEdXvoAv_oM", "relative_url": "/video/slow-sock-on-lubricon-vi", "has_questions": "live", "keywords": "newton's, first, law", "ka_url": "http://www.khanacademy.org/video/slow-sock-on-lubricon-vi", "duration": 287, "translated_title": "Slow sock on Lubricon VI", "translated_description_html": "What would happen to a slowly moving frozen sock on a frictionless planet", "id": "897500670", "description_html": "What would happen to a slowly moving frozen sock on a frictionless planet", "title": "Slow sock on Lubricon VI", "progress_key": "v897500670", "edit_slug": "edit/v/897500670", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "What would happen to a slowly moving frozen sock on a frictionless planet", "extra_properties": {"original_url": ""}, "node_slug": "v/slow-sock-on-lubricon-vi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:41:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.m3u8/CEdXvoAv_oM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CEdXvoAv_oM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897500670", "sha": "6b0673aa01a5b4efb3dbc18ef515c0cc9cc479ad", "translated_description": "What would happen to a slowly moving frozen sock on a frictionless planet", "image_url": "https://img.youtube.com/vi/CEdXvoAv_oM/hqdefault.jpg", "youtube_id": "CEdXvoAv_oM", "content_kind": "Video", "readable_id": "slow-sock-on-lubricon-vi"}, {"translated_youtube_id": "hJ18CrKU3Zc", "relative_url": "/video/normal-forces-on-lubricon-vi", "has_questions": "live", "keywords": "normal, force, centripetal", "ka_url": "http://www.khanacademy.org/video/normal-forces-on-lubricon-vi", "duration": 432, "translated_title": "Normal forces on Lubricon VI", "translated_description_html": "Whether the normal force balances the force of gravity for a frozen sock or banana", "id": "897521821", "description_html": "Whether the normal force balances the force of gravity for a frozen sock or banana", "title": "Normal forces on Lubricon VI", "progress_key": "v897521821", "edit_slug": "edit/v/897521821", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Whether the normal force balances the force of gravity for a frozen sock or banana", "extra_properties": {"original_url": ""}, "node_slug": "v/normal-forces-on-lubricon-vi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:44:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.m3u8/hJ18CrKU3Zc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJ18CrKU3Zc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897521821", "sha": "3c4bb7e076589c64d694224c25ca7ba5233ac1df", "translated_description": "Whether the normal force balances the force of gravity for a frozen sock or banana", "image_url": "https://img.youtube.com/vi/hJ18CrKU3Zc/hqdefault.jpg", "youtube_id": "hJ18CrKU3Zc", "content_kind": "Video", "readable_id": "normal-forces-on-lubricon-vi"}], "twitter_url": "", "translated_description": "Learn about the normal force, and try some examples that demonstrate how the normal force is affected by the motion of an elevator, as well as how the normal force affects friction. By Sal.\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about the normal force, and try some examples that demonstrate how the normal force is affected by the motion of an elevator, as well as how the normal force affects friction. By Sal.\n", "x_pos": 0.0, "node_slug": "normal-forces", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-23T03:58:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax74a26772", "topic_page_url": "/science/mcat/physical-processes/normal-forces", "extended_slug": "science/mcat/physical-processes/normal-forces", "slug": "normal-forces", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9a824dae8a1f308a71668fdaf58a0d8e7501f742", "standalone_title": "Normal forces", "y_pos": 0.0, "current_revision_key": "9a824dae8a1f308a71668fdaf58a0d8e7501f742", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/newtons-laws-and-equilibrium", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/newtons-laws-and-equilibrium", "translated_standalone_title": "Newton's laws and equilibrium", "translated_title": "Newton's laws and equilibrium", "gplus_url": "", "id": "x664ba0fe", "old_key_name": null, "hide": false, "title": "Newton's laws and equilibrium", "child_data": [{"kind": "Video", "id": 116854909}, {"kind": "Video", "id": 904189322}, {"kind": "Video", "id": 116854910}, {"kind": "Video", "id": 897520017}, {"kind": "Video", "id": 116854911}, {"kind": "Exercise", "id": "x61c84dd2"}, {"kind": "Exercise", "id": "x120ce4cf"}], "children": [{"translated_youtube_id": "CQYELiTtUs8", "relative_url": "/video/newton-s-first-law-of-motion", "has_questions": "labs", "keywords": "motion, rest, physics, kinematics", "ka_url": "http://www.khanacademy.org/video/newton-s-first-law-of-motion", "duration": 572, "translated_title": "Newton's first law of motion", "translated_description_html": "Newton's First Law (Galileo's Law of Inertia).", "id": "116854909", "description_html": "Newton's First Law (Galileo's Law of Inertia).", "title": "Newton's first law of motion", "progress_key": "v116854909", "edit_slug": "edit/v/116854909", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newton's First Law (Galileo's Law of Inertia).", "extra_properties": null, "node_slug": "v/newton-s-first-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.mp4/CQYELiTtUs8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.mp4/CQYELiTtUs8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CQYELiTtUs8.m3u8/CQYELiTtUs8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CQYELiTtUs8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854909", "sha": "f324d69aaad663087e0c67c3c04d2800d758a962", "translated_description": "Newton's First Law (Galileo's Law of Inertia).", "image_url": "https://img.youtube.com/vi/CQYELiTtUs8/hqdefault.jpg", "youtube_id": "CQYELiTtUs8", "content_kind": "Video", "readable_id": "newton-s-first-law-of-motion"}, {"translated_youtube_id": "D1NubiWCpQg", "relative_url": "/video/newton-s-first-law-of-motion-concepts", "has_questions": "live", "keywords": "physics, newton's, laws", "ka_url": "http://www.khanacademy.org/video/newton-s-first-law-of-motion-concepts", "duration": 434, "translated_title": "Newton's first law of motion concepts", "translated_description_html": "A little quiz on some of the ideas in Newton's first law", "id": "904189322", "description_html": "A little quiz on some of the ideas in Newton's first law", "title": "Newton's first law of motion concepts", "progress_key": "v904189322", "edit_slug": "edit/v/904189322", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A little quiz on some of the ideas in Newton's first law", "extra_properties": {"original_url": ""}, "node_slug": "v/newton-s-first-law-of-motion-concepts", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-07-16T18:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.mp4/D1NubiWCpQg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.mp4/D1NubiWCpQg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D1NubiWCpQg.m3u8/D1NubiWCpQg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D1NubiWCpQg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v904189322", "sha": "4981d09cebee7bc3b5c535e65a48e6545616b982", "translated_description": "A little quiz on some of the ideas in Newton's first law", "image_url": "https://img.youtube.com/vi/D1NubiWCpQg/hqdefault.jpg", "youtube_id": "D1NubiWCpQg", "content_kind": "Video", "readable_id": "newton-s-first-law-of-motion-concepts"}, {"translated_youtube_id": "ou9YMWlJgkE", "relative_url": "/video/newton-s-second-law-of-motion", "has_questions": "labs", "keywords": "physics, newton, 2nd, second, law", "ka_url": "http://www.khanacademy.org/video/newton-s-second-law-of-motion", "duration": 434, "translated_title": "Newton's second law of motion", "translated_description_html": "Newton's Second Law of Motion: F=ma", "id": "116854910", "description_html": "Newton's Second Law of Motion: F=ma", "title": "Newton's second law of motion", "progress_key": "v116854910", "edit_slug": "edit/v/116854910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Newton's Second Law of Motion: F=ma", "extra_properties": null, "node_slug": "v/newton-s-second-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.m3u8/ou9YMWlJgkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ou9YMWlJgkE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854910", "sha": "fac4d71cc83326089f1ec9a2b044f5a4801c2000", "translated_description": "Newton's Second Law of Motion: F=ma", "image_url": "https://img.youtube.com/vi/ou9YMWlJgkE/hqdefault.jpg", "youtube_id": "ou9YMWlJgkE", "content_kind": "Video", "readable_id": "newton-s-second-law-of-motion"}, {"translated_youtube_id": "IgYUR7aFY-c", "relative_url": "/video/unbalanced-forces-and-motion", "has_questions": "live", "keywords": "newton's, laws, physics, forces, balance", "ka_url": "http://www.khanacademy.org/video/unbalanced-forces-and-motion", "duration": 397, "translated_title": "Unbalanced forces and motion", "translated_description_html": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "id": "897520017", "description_html": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "title": "Unbalanced forces and motion", "progress_key": "v897520017", "edit_slug": "edit/v/897520017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "extra_properties": {"original_url": ""}, "node_slug": "v/unbalanced-forces-and-motion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-11T21:39:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.mp4/IgYUR7aFY-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.mp4/IgYUR7aFY-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IgYUR7aFY-c.m3u8/IgYUR7aFY-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IgYUR7aFY-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v897520017", "sha": "edaba1e24a580000e9d93b2f0735973d41e75bff", "translated_description": "Thinking about what is true about how unbalanced forces relate to motion and acceleration", "image_url": "https://img.youtube.com/vi/IgYUR7aFY-c/hqdefault.jpg", "youtube_id": "IgYUR7aFY-c", "content_kind": "Video", "readable_id": "unbalanced-forces-and-motion"}, {"translated_youtube_id": "By-ggTfeuJU", "relative_url": "/video/newton-s-third-law-of-motion", "has_questions": "labs", "keywords": "force, motion, physics", "ka_url": "http://www.khanacademy.org/video/newton-s-third-law-of-motion", "duration": 480, "translated_title": "Newton's third law of motion", "translated_description_html": "Every action has an equal and opposite reaction", "id": "116854911", "description_html": "Every action has an equal and opposite reaction", "title": "Newton's third law of motion", "progress_key": "v116854911", "edit_slug": "edit/v/116854911", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Every action has an equal and opposite reaction", "extra_properties": null, "node_slug": "v/newton-s-third-law-of-motion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-14T23:26:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.m3u8/By-ggTfeuJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=By-ggTfeuJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v116854911", "sha": "682f6ea08c1714be11efa21b77849e96c3a40274", "translated_description": "Every action has an equal and opposite reaction", "image_url": "https://img.youtube.com/vi/By-ggTfeuJU/hqdefault.jpg", "youtube_id": "By-ggTfeuJU", "content_kind": "Video", "readable_id": "newton-s-third-law-of-motion"}], "twitter_url": "", "translated_description": "4A: Go back in time and rediscover Newton's three laws! These powerful laws help explain inertia, equal and opposite forces, and calculation of acceleration based upon forces. By Sal.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4A: Go back in time and rediscover Newton's three laws! These powerful laws help explain inertia, equal and opposite forces, and calculation of acceleration based upon forces. By Sal.", "x_pos": 0.0, "node_slug": "newtons-laws-and-equilibrium", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-17T19:58:55Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax664ba0fe", "topic_page_url": "/science/mcat/physical-processes/newtons-laws-and-equilibrium", "extended_slug": "science/mcat/physical-processes/newtons-laws-and-equilibrium", "slug": "newtons-laws-and-equilibrium", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "609ab40f1901f551452b816a5ba80340f53dfa5a", "standalone_title": "Newton's laws and equilibrium", "y_pos": 0.0, "current_revision_key": "609ab40f1901f551452b816a5ba80340f53dfa5a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/capacitors", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/capacitors", "translated_standalone_title": "Capacitors", "translated_title": "Capacitors", "gplus_url": "", "id": "xdf0451b2", "old_key_name": null, "hide": false, "title": "Capacitors", "child_data": [{"kind": "Video", "id": "xc64de00d"}, {"kind": "Video", "id": 25697}, {"kind": "Video", "id": "x28f1d646"}, {"kind": "Video", "id": "x276a1169"}, {"kind": "Video", "id": "x9e833752"}, {"kind": "Video", "id": "xb0101987"}, {"kind": "Exercise", "id": "xa9b29510"}, {"kind": "Exercise", "id": "x0d41be91"}], "children": [{"translated_youtube_id": "u-jigaMJT10", "relative_url": "/video/capacitors-and-capacitance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/capacitors-and-capacitance", "duration": 343, "translated_title": "Capacitors and capacitance", "translated_description_html": "

A basic overview of capacitors and capacitance. By David Santo Pietro. <\/span><\/p>\n", "id": "xc64de00d", "description_html": "

A basic overview of capacitors and capacitance. By David Santo Pietro. <\/span><\/p>\n", "title": "Capacitors and capacitance", "progress_key": "vxc64de00d", "edit_slug": "edit/v/xc64de00d", "author_names": ["David SantoPietro"], "deleted_mod_time": null, "description": "A basic overview of capacitors and capacitance. By David Santo Pietro. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/capacitors-and-capacitance", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u-jigaMJT10.mp4/u-jigaMJT10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u-jigaMJT10.mp4/u-jigaMJT10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u-jigaMJT10.m3u8/u-jigaMJT10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u-jigaMJT10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc64de00d", "sha": "3663d01e0c8c26d0ee1011f750eb1b968a37278b", "translated_description": "A basic overview of capacitors and capacitance. By David Santo Pietro. \n", "image_url": "https://img.youtube.com/vi/u-jigaMJT10/hqdefault.jpg", "youtube_id": "u-jigaMJT10", "content_kind": "Video", "readable_id": "capacitors-and-capacitance"}, {"translated_youtube_id": "ngOC4eUQl8Y", "relative_url": "/video/capacitance", "has_questions": false, "keywords": "capacitance, capacitor, farad", "ka_url": "http://www.khanacademy.org/video/capacitance", "duration": 815, "translated_title": "Capacitance", "translated_description_html": "

Introduction to the capacitance of a two place capacitor. <\/span><\/p>\n", "id": "25697", "description_html": "

Introduction to the capacitance of a two place capacitor. <\/span><\/p>\n", "title": "Capacitance", "progress_key": "v25697", "edit_slug": "edit/v/25697", "author_names": ["David SantoPietro"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the capacitance of a two place capacitor. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/capacitance", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:50:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.mp4/ngOC4eUQl8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.mp4/ngOC4eUQl8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ngOC4eUQl8Y.m3u8/ngOC4eUQl8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ngOC4eUQl8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25697", "sha": "f4d1a1e41c0c3d799649b17d8181f018b2a1c62a", "translated_description": "Introduction to the capacitance of a two place capacitor. \n", "image_url": "https://img.youtube.com/vi/ngOC4eUQl8Y/hqdefault.jpg", "youtube_id": "ngOC4eUQl8Y", "content_kind": "Video", "readable_id": "capacitance"}, {"translated_youtube_id": "SIU_9SMd5q0", "relative_url": "/video/energy-capacitor", "has_questions": false, "keywords": "energy, capacitor", "ka_url": "http://www.khanacademy.org/video/energy-capacitor", "duration": 383, "translated_title": "Energy of a capacitor", "translated_description_html": "

This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. <\/span><\/p>\n", "id": "x28f1d646", "description_html": "

This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. <\/span><\/p>\n", "title": "Energy of a capacitor", "progress_key": "vx28f1d646", "edit_slug": "edit/v/x28f1d646", "author_names": ["David SantoPietro"], "deleted_mod_time": null, "description": "This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/energy-capacitor", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SIU_9SMd5q0.mp4/SIU_9SMd5q0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SIU_9SMd5q0.mp4/SIU_9SMd5q0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SIU_9SMd5q0.m3u8/SIU_9SMd5q0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SIU_9SMd5q0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx28f1d646", "sha": "6aa2569b4f7b4c3f17453cfdfdd2aebab3e4e950", "translated_description": "This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. \n", "image_url": "https://img.youtube.com/vi/SIU_9SMd5q0/hqdefault.jpg", "youtube_id": "SIU_9SMd5q0", "content_kind": "Video", "readable_id": "energy-capacitor"}, {"translated_youtube_id": "-MaD9Ycy3a4", "relative_url": "/video/capacitors-series", "has_questions": false, "keywords": "capacitors, series, circuits", "ka_url": "http://www.khanacademy.org/video/capacitors-series", "duration": 575, "translated_title": "Capacitors in series", "translated_description_html": "

The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. <\/span><\/p>\n", "id": "x276a1169", "description_html": "

The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. <\/span><\/p>\n", "title": "Capacitors in series", "progress_key": "vx276a1169", "edit_slug": "edit/v/x276a1169", "author_names": ["David SantoPietro"], "deleted_mod_time": null, "description": "The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/capacitors-series", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-MaD9Ycy3a4.mp4/-MaD9Ycy3a4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-MaD9Ycy3a4.mp4/-MaD9Ycy3a4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-MaD9Ycy3a4.m3u8/-MaD9Ycy3a4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-MaD9Ycy3a4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx276a1169", "sha": "2a7bec128f434ed61026fc5003538c51b8abd7eb", "translated_description": "The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. \n", "image_url": "https://img.youtube.com/vi/-MaD9Ycy3a4/hqdefault.jpg", "youtube_id": "-MaD9Ycy3a4", "content_kind": "Video", "readable_id": "capacitors-series"}, {"translated_youtube_id": "P-1mWGeJjmg", "relative_url": "/video/capacitors-parallel", "has_questions": false, "keywords": "capacitor, parallel, circuit", "ka_url": "http://www.khanacademy.org/video/capacitors-parallel", "duration": 601, "translated_title": "Capacitors in parallel", "translated_description_html": "

The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. <\/span><\/p>\n", "id": "x9e833752", "description_html": "

The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. <\/span><\/p>\n", "title": "Capacitors in parallel", "progress_key": "vx9e833752", "edit_slug": "edit/v/x9e833752", "author_names": ["David SantoPietro"], "deleted_mod_time": null, "description": "The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/capacitors-parallel", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P-1mWGeJjmg.mp4/P-1mWGeJjmg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P-1mWGeJjmg.mp4/P-1mWGeJjmg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P-1mWGeJjmg.m3u8/P-1mWGeJjmg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P-1mWGeJjmg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9e833752", "sha": "d0fc7164c0e90bb988387447bfb06f1cb8a30969", "translated_description": "The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. \n", "image_url": "https://img.youtube.com/vi/P-1mWGeJjmg/hqdefault.jpg", "youtube_id": "P-1mWGeJjmg", "content_kind": "Video", "readable_id": "capacitors-parallel"}, {"translated_youtube_id": "rkntp3_cZl4", "relative_url": "/video/dielectrics-capacitors", "has_questions": false, "keywords": "dielectric, capacitor, circuit", "ka_url": "http://www.khanacademy.org/video/dielectrics-capacitors", "duration": 387, "translated_title": "Dielectrics in capacitors", "translated_description_html": "

How dielectrics function in circuits. By David Santo Pietro. <\/span><\/p>\n", "id": "xb0101987", "description_html": "

How dielectrics function in circuits. By David Santo Pietro. <\/span><\/p>\n", "title": "Dielectrics in capacitors", "progress_key": "vxb0101987", "edit_slug": "edit/v/xb0101987", "author_names": ["David SantoPietro"], "deleted_mod_time": null, "description": "How dielectrics function in circuits. By David Santo Pietro. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/dielectrics-capacitors", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rkntp3_cZl4.mp4/rkntp3_cZl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rkntp3_cZl4.mp4/rkntp3_cZl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rkntp3_cZl4.m3u8/rkntp3_cZl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rkntp3_cZl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb0101987", "sha": "45af3d198390cb13bb206c03055b55c78cdab625", "translated_description": "How dielectrics function in circuits. By David Santo Pietro. \n", "image_url": "https://img.youtube.com/vi/rkntp3_cZl4/hqdefault.jpg", "youtube_id": "rkntp3_cZl4", "content_kind": "Video", "readable_id": "dielectrics-capacitors"}], "twitter_url": "", "translated_description": "4C: Learn how a capacitor works, and the mathematical formulas that explain their behavior. By David Santo Pietro.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4C: Learn how a capacitor works, and the mathematical formulas that explain their behavior. By David Santo Pietro.", "x_pos": 0.0, "node_slug": "capacitors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdf0451b2", "topic_page_url": "/science/mcat/physical-processes/capacitors", "extended_slug": "science/mcat/physical-processes/capacitors", "slug": "capacitors", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "087ce5818ac653cf5cb1026593a990047822bacf", "standalone_title": "Capacitors", "y_pos": 0.0, "current_revision_key": "087ce5818ac653cf5cb1026593a990047822bacf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/stoichiometry", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/stoichiometry", "translated_standalone_title": "Stoichiometry", "translated_title": "Stoichiometry", "gplus_url": "", "id": "x5027b2fc", "old_key_name": null, "hide": false, "title": "Stoichiometry", "child_data": [{"kind": "Video", "id": 418010}, {"kind": "Video", "id": 364061}, {"kind": "Video", "id": 432002}, {"kind": "Video", "id": 364062}, {"kind": "Video", "id": 379047}, {"kind": "Video", "id": 24648}, {"kind": "Video", "id": 389052}, {"kind": "Video", "id": 24652}], "children": [{"translated_youtube_id": "gfBcM3uvWfs", "relative_url": "/video/molecular-and-empirical-formulas", "has_questions": false, "keywords": "molecular, empirical, structural, formulas, chemistry, science", "ka_url": "http://www.khanacademy.org/video/molecular-and-empirical-formulas", "duration": 954, "translated_title": "Molecular and empirical formulas", "translated_description_html": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "id": "418010", "description_html": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "title": "Molecular and empirical formulas", "progress_key": "v418010", "edit_slug": "edit/v/418010", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "extra_properties": null, "node_slug": "v/molecular-and-empirical-formulas", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.mp4/gfBcM3uvWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.mp4/gfBcM3uvWfs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gfBcM3uvWfs.m3u8/gfBcM3uvWfs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gfBcM3uvWfs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418010", "sha": "844481d60cb2dd53298fda0a8ea2f0957f0df2c2", "translated_description": "Introduction to molecular and empirical formulas. Calculating molecular mass.", "image_url": "https://img.youtube.com/vi/gfBcM3uvWfs/hqdefault.jpg", "youtube_id": "gfBcM3uvWfs", "content_kind": "Video", "readable_id": "molecular-and-empirical-formulas"}, {"translated_youtube_id": "AsqEkF7hcII", "relative_url": "/video/the-mole-and-avogadro-s-number", "has_questions": false, "keywords": "mole, chemistry, avogadro's, number", "ka_url": "http://www.khanacademy.org/video/the-mole-and-avogadro-s-number", "duration": 584, "translated_title": "The mole and avogadro's number", "translated_description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "id": "364061", "description_html": "

Introduction to the idea of a mole as a number (vs. an animal).<\/span><\/p>\n", "title": "The mole and avogadro's number", "progress_key": "v364061", "edit_slug": "edit/v/364061", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "extra_properties": {"original_url": ""}, "node_slug": "v/the-mole-and-avogadro-s-number", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.mp4/AsqEkF7hcII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AsqEkF7hcII.m3u8/AsqEkF7hcII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AsqEkF7hcII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364061", "sha": "dc0e0001f8470b6a56a0f01a79ca801145863cc8", "translated_description": "Introduction to the idea of a mole as a number (vs. an animal).\n", "image_url": "https://img.youtube.com/vi/AsqEkF7hcII/hqdefault.jpg", "youtube_id": "AsqEkF7hcII", "content_kind": "Video", "readable_id": "the-mole-and-avogadro-s-number"}, {"translated_youtube_id": "xatVrAh2U0E", "relative_url": "/video/formula-from-mass-composition", "has_questions": false, "keywords": "mass, composition, moles, empirical, formula", "ka_url": "http://www.khanacademy.org/video/formula-from-mass-composition", "duration": 778, "translated_title": "Formula from mass composition", "translated_description_html": "

Figuring out the empirical formula from a molecules mass composition.<\/span><\/p>\n", "id": "432002", "description_html": "

Figuring out the empirical formula from a molecules mass composition.<\/span><\/p>\n", "title": "Formula from mass composition", "progress_key": "v432002", "edit_slug": "edit/v/432002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Figuring out the empirical formula from a molecules mass composition.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/formula-from-mass-composition", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.mp4/xatVrAh2U0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.mp4/xatVrAh2U0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xatVrAh2U0E.m3u8/xatVrAh2U0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xatVrAh2U0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v432002", "sha": "c8ac705b0057d5978ede27f01e33063ca42cfff9", "translated_description": "Figuring out the empirical formula from a molecules mass composition.\n", "image_url": "https://img.youtube.com/vi/xatVrAh2U0E/hqdefault.jpg", "youtube_id": "xatVrAh2U0E", "content_kind": "Video", "readable_id": "formula-from-mass-composition"}, {"translated_youtube_id": "RnGu3xO2h74", "relative_url": "/video/balancing-chemical-equations", "has_questions": false, "keywords": "balancing, equations, chemistry", "ka_url": "http://www.khanacademy.org/video/balancing-chemical-equations", "duration": 868, "translated_title": "Balancing chemical equations", "translated_description_html": "

The art of balancing equations in chemistry! <\/span><\/p>\n", "id": "364062", "description_html": "

The art of balancing equations in chemistry! <\/span><\/p>\n", "title": "Balancing chemical equations", "progress_key": "v364062", "edit_slug": "edit/v/364062", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The art of balancing equations in chemistry! \n", "extra_properties": {"original_url": ""}, "node_slug": "v/balancing-chemical-equations", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.mp4/RnGu3xO2h74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.mp4/RnGu3xO2h74.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RnGu3xO2h74.m3u8/RnGu3xO2h74.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RnGu3xO2h74&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364062", "sha": "fab8a0ad0cb4e9b107057b71f80abf72e1576d64", "translated_description": "The art of balancing equations in chemistry! \n", "image_url": "https://img.youtube.com/vi/RnGu3xO2h74/hqdefault.jpg", "youtube_id": "RnGu3xO2h74", "content_kind": "Video", "readable_id": "balancing-chemical-equations"}, {"translated_youtube_id": "SjQG3rKSZUQ", "relative_url": "/video/stoichiometry", "has_questions": false, "keywords": "chemistry, reagent, reactant, stoichiometry", "ka_url": "http://www.khanacademy.org/video/stoichiometry", "duration": 596, "translated_title": "Stoichiometry", "translated_description_html": "

Introduction to stoichiometry.<\/span><\/p>\n", "id": "379047", "description_html": "

Introduction to stoichiometry.<\/span><\/p>\n", "title": "Stoichiometry", "progress_key": "v379047", "edit_slug": "edit/v/379047", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Introduction to stoichiometry.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.mp4/SjQG3rKSZUQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.mp4/SjQG3rKSZUQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SjQG3rKSZUQ.m3u8/SjQG3rKSZUQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SjQG3rKSZUQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v379047", "sha": "15495f218d9a6ffea2fc9d618df65fb329725179", "translated_description": "Introduction to stoichiometry.\n", "image_url": "https://img.youtube.com/vi/SjQG3rKSZUQ/hqdefault.jpg", "youtube_id": "SjQG3rKSZUQ", "content_kind": "Video", "readable_id": "stoichiometry"}, {"translated_youtube_id": "jFv6k2OV7IU", "relative_url": "/video/stoichiometry-example-problem-1", "has_questions": false, "keywords": "stoichiometry, reactant, product", "ka_url": "http://www.khanacademy.org/video/stoichiometry-example-problem-1", "duration": 815, "translated_title": "Stoichiometry example problem 1", "translated_description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "id": "24648", "description_html": "

Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.<\/p>\n", "title": "Stoichiometry example problem 1", "progress_key": "v24648", "edit_slug": "edit/v/24648", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.mp4/jFv6k2OV7IU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFv6k2OV7IU.m3u8/jFv6k2OV7IU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jFv6k2OV7IU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24648", "sha": "ccf9063ba70bb3a537d6379931cb0560eb9dcb19", "translated_description": "Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.\n", "image_url": "https://img.youtube.com/vi/jFv6k2OV7IU/hqdefault.jpg", "youtube_id": "jFv6k2OV7IU", "content_kind": "Video", "readable_id": "stoichiometry-example-problem-1"}, {"translated_youtube_id": "rESzyhPOJ7I", "relative_url": "/video/stoichiometry--limiting-reagent", "has_questions": false, "keywords": "chemistry, reagent, reactant, stoichiometry", "ka_url": "http://www.khanacademy.org/video/stoichiometry--limiting-reagent", "duration": 904, "translated_title": "Stoichiometry: Limiting reagent", "translated_description_html": "

Stoichiometry problem where we have a limiting reagent! <\/span><\/p>\n", "id": "389052", "description_html": "

Stoichiometry problem where we have a limiting reagent! <\/span><\/p>\n", "title": "Stoichiometry: Limiting reagent", "progress_key": "v389052", "edit_slug": "edit/v/389052", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Stoichiometry problem where we have a limiting reagent! \n", "extra_properties": {"original_url": ""}, "node_slug": "v/stoichiometry--limiting-reagent", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:34:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.mp4/rESzyhPOJ7I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.mp4/rESzyhPOJ7I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rESzyhPOJ7I.m3u8/rESzyhPOJ7I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rESzyhPOJ7I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v389052", "sha": "153fcdeac4f8cd745f2b7cd2e5fb8811f0ab56c1", "translated_description": "Stoichiometry problem where we have a limiting reagent! \n", "image_url": "https://img.youtube.com/vi/rESzyhPOJ7I/hqdefault.jpg", "youtube_id": "rESzyhPOJ7I", "content_kind": "Video", "readable_id": "stoichiometry--limiting-reagent"}, {"translated_youtube_id": "YNriRslOk9A", "relative_url": "/video/limiting-reactant-example-problem-1", "has_questions": false, "keywords": "Limiting, Reactant, Example, Problem", "ka_url": "http://www.khanacademy.org/video/limiting-reactant-example-problem-1", "duration": 1160, "translated_title": "Limiting reactant example problem 1", "translated_description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "id": "24652", "description_html": "

Limiting Reactant Example Problem 1 <\/span><\/p>\n", "title": "Limiting reactant example problem 1", "progress_key": "v24652", "edit_slug": "edit/v/24652", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Limiting Reactant Example Problem 1 \n", "extra_properties": {"original_url": ""}, "node_slug": "v/limiting-reactant-example-problem-1", "deleted": false, "backup_timestamp": "2013-10-01T16:18:56Z", "date_added": "2011-02-20T16:35:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.mp4/YNriRslOk9A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YNriRslOk9A.m3u8/YNriRslOk9A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YNriRslOk9A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24652", "sha": "37fe0b2936b134efca8abc7d22bf173fd4d1be36", "translated_description": "Limiting Reactant Example Problem 1 \n", "image_url": "https://img.youtube.com/vi/YNriRslOk9A/hqdefault.jpg", "youtube_id": "YNriRslOk9A", "content_kind": "Video", "readable_id": "limiting-reactant-example-problem-1"}], "twitter_url": "", "translated_description": "4E: Think about the concept of the \"mole\" and how we can use it to help us balance chemical reactions. By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4E: Think about the concept of the \"mole\" and how we can use it to help us balance chemical reactions. By Jay.", "x_pos": 0.0, "node_slug": "stoichiometry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5027b2fc", "topic_page_url": "/science/mcat/physical-processes/stoichiometry", "extended_slug": "science/mcat/physical-processes/stoichiometry", "slug": "stoichiometry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e52cd18869bb79260be579839bdef564996a54d1", "standalone_title": "Stoichiometry", "y_pos": 0.0, "current_revision_key": "e52cd18869bb79260be579839bdef564996a54d1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/physical-processes/redox-reactions", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/physical-processes/redox-reactions", "translated_standalone_title": "Redox Reactions", "translated_title": "Redox reactions", "gplus_url": "", "id": "x96517682", "old_key_name": null, "hide": false, "title": "Redox reactions", "child_data": [{"kind": "Video", "id": "xce6506c6"}, {"kind": "Video", "id": "x528f68ef"}, {"kind": "Video", "id": "x7e2a500f"}, {"kind": "Video", "id": "x1cd3b06b"}], "children": [{"translated_youtube_id": "TOdHMORp4is", "relative_url": "/video/oxidizing-and-reducing-agents-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidizing-and-reducing-agents-1", "duration": 510, "translated_title": "Oxidizing and reducing agents", "translated_description_html": "", "id": "xce6506c6", "description_html": "", "title": "Oxidizing and reducing agents", "progress_key": "vxce6506c6", "edit_slug": "edit/v/xce6506c6", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/oxidizing-and-reducing-agents-1", "deleted": false, "backup_timestamp": "2013-10-30T02:14:25Z", "date_added": "2013-10-30T02:14:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TOdHMORp4is.mp4/TOdHMORp4is.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TOdHMORp4is.mp4/TOdHMORp4is.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TOdHMORp4is.m3u8/TOdHMORp4is.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TOdHMORp4is&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxce6506c6", "sha": "ee174da65061d3ac6b917a8a53eb0e962c119e46", "translated_description": "", "image_url": "https://img.youtube.com/vi/TOdHMORp4is/hqdefault.jpg", "youtube_id": "TOdHMORp4is", "content_kind": "Video", "readable_id": "oxidizing-and-reducing-agents-1"}, {"translated_youtube_id": "PXlvKtpvUEk", "relative_url": "/video/disproportionation", "has_questions": false, "keywords": "disproportionation", "ka_url": "http://www.khanacademy.org/video/disproportionation", "duration": 303, "translated_title": "Disproportionation", "translated_description_html": "

Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay Skipper. <\/span><\/p>\n", "id": "x528f68ef", "description_html": "

Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay Skipper. <\/span><\/p>\n", "title": "Disproportionation", "progress_key": "vx528f68ef", "edit_slug": "edit/v/x528f68ef", "author_names": [], "deleted_mod_time": null, "description": "Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay Skipper. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/disproportionation", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PXlvKtpvUEk.mp4/PXlvKtpvUEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PXlvKtpvUEk.mp4/PXlvKtpvUEk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PXlvKtpvUEk.m3u8/PXlvKtpvUEk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PXlvKtpvUEk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx528f68ef", "sha": "8113d0e6d50ac723b6985ee45da3100f7c04776f", "translated_description": "Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay Skipper. \n", "image_url": "https://img.youtube.com/vi/PXlvKtpvUEk/hqdefault.jpg", "youtube_id": "PXlvKtpvUEk", "content_kind": "Video", "readable_id": "disproportionation"}, {"translated_youtube_id": "4tLrbMstfm8", "relative_url": "/video/balance-and-redox-reactions1", "has_questions": false, "keywords": "redox reaction", "ka_url": "http://www.khanacademy.org/video/balance-and-redox-reactions1", "duration": 724, "translated_title": "Balancing redox reactions I", "translated_description_html": "

How to balance a redox reaction in acid. By Jay Skipper. <\/span><\/p>\n", "id": "x7e2a500f", "description_html": "

How to balance a redox reaction in acid. By Jay Skipper. <\/span><\/p>\n", "title": "Balancing redox reactions I", "progress_key": "vx7e2a500f", "edit_slug": "edit/v/x7e2a500f", "author_names": [], "deleted_mod_time": null, "description": "How to balance a redox reaction in acid. By Jay Skipper. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/balance-and-redox-reactions1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4tLrbMstfm8.mp4/4tLrbMstfm8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4tLrbMstfm8.mp4/4tLrbMstfm8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4tLrbMstfm8.m3u8/4tLrbMstfm8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4tLrbMstfm8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7e2a500f", "sha": "5a1cbd5077d975951efff0c15ee2d004484e912c", "translated_description": "How to balance a redox reaction in acid. By Jay Skipper. \n", "image_url": "https://img.youtube.com/vi/4tLrbMstfm8/hqdefault.jpg", "youtube_id": "4tLrbMstfm8", "content_kind": "Video", "readable_id": "balance-and-redox-reactions1"}, {"translated_youtube_id": "Vjs8uK2ovQE", "relative_url": "/video/balancing-redox-reactions1", "has_questions": false, "keywords": "redox reaction", "ka_url": "http://www.khanacademy.org/video/balancing-redox-reactions1", "duration": 842, "translated_title": "Balancing redox reactions II", "translated_description_html": "

How to balance a redox reaction in base. By Jay Skipper.<\/p>\n", "id": "x1cd3b06b", "description_html": "

How to balance a redox reaction in base. By Jay Skipper.<\/p>\n", "title": "Balancing redox reactions II", "progress_key": "vx1cd3b06b", "edit_slug": "edit/v/x1cd3b06b", "author_names": [], "deleted_mod_time": null, "description": "How to balance a redox reaction in base. By Jay Skipper.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/balancing-redox-reactions1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vjs8uK2ovQE.mp4/Vjs8uK2ovQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vjs8uK2ovQE.mp4/Vjs8uK2ovQE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vjs8uK2ovQE.m3u8/Vjs8uK2ovQE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vjs8uK2ovQE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1cd3b06b", "sha": "e8375ccb3fe4c408d1515c03579af8abc75eae85", "translated_description": "How to balance a redox reaction in base. By Jay Skipper.\n", "image_url": "https://img.youtube.com/vi/Vjs8uK2ovQE/hqdefault.jpg", "youtube_id": "Vjs8uK2ovQE", "content_kind": "Video", "readable_id": "balancing-redox-reactions1"}], "twitter_url": "", "translated_description": "4E: Discover how to assign oxidation states/numbers in redox reactions, then go on to balance redox reactions! By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "4E: Discover how to assign oxidation states/numbers in redox reactions, then go on to balance redox reactions! By Jay.", "x_pos": 0.0, "node_slug": "redox-reactions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax96517682", "topic_page_url": "/science/mcat/physical-processes/redox-reactions", "extended_slug": "science/mcat/physical-processes/redox-reactions", "slug": "redox-reactions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b5fb8260468b8157c45ecc15c3016e4c7d2654ef", "standalone_title": "Redox Reactions", "y_pos": 0.0, "current_revision_key": "b5fb8260468b8157c45ecc15c3016e4c7d2654ef", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 4: Complex living organisms transport materials, sense their environment, process signals, and respond to changes using processes that can be understood in terms of physical principles.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 4: Complex living organisms transport materials, sense their environment, process signals, and respond to changes using processes that can be understood in terms of physical principles.", "x_pos": 0.0, "node_slug": "physical-processes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa7e68c2d", "topic_page_url": "/science/mcat/physical-processes", "extended_slug": "science/mcat/physical-processes", "slug": "physical-processes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd8f6b1c30234aacffeab368ef753b020b02335f", "standalone_title": "Physical processes", "y_pos": 0.0, "current_revision_key": "bd8f6b1c30234aacffeab368ef753b020b02335f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes", "translated_standalone_title": "Chemical processes", "translated_title": "Chemical processes", "gplus_url": "", "id": "x0054fc82", "old_key_name": null, "hide": false, "title": "Chemical processes", "child_data": [{"kind": "Topic", "id": "x268aef38"}, {"kind": "Topic", "id": "xaa41a151"}, {"kind": "Topic", "id": "x76b0c72a"}, {"kind": "Topic", "id": "x8bda57c7"}, {"kind": "Topic", "id": "xdad74afa"}, {"kind": "Topic", "id": "x0dec96ad"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/dot-structures", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/dot-structures", "translated_standalone_title": "Dot structures", "translated_title": "Dot structures", "gplus_url": "", "id": "x268aef38", "old_key_name": null, "hide": false, "title": "Dot structures", "child_data": [{"kind": "Video", "id": "x4b64d771"}, {"kind": "Video", "id": "x999bc93d"}, {"kind": "Video", "id": "xc17639e8"}, {"kind": "Video", "id": "x072a19ee"}, {"kind": "Video", "id": "xdf5e267d"}, {"kind": "Video", "id": "x13e2fe6f"}, {"kind": "Video", "id": "x6968389f"}, {"kind": "Video", "id": "x14b19da7"}, {"kind": "Video", "id": "x0795dd14"}], "children": [{"translated_youtube_id": "p7Fsb21B2Xg", "relative_url": "/video/drawing-dot-structures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawing-dot-structures", "duration": 882, "translated_title": "Drawing dot structures", "translated_description_html": "


<\/p>", "id": "x4b64d771", "description_html": "


<\/p>", "title": "Drawing dot structures", "progress_key": "vx4b64d771", "edit_slug": "edit/v/x4b64d771", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/drawing-dot-structures", "deleted": false, "backup_timestamp": "2013-10-19T22:28:40Z", "date_added": "2013-10-19T22:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p7Fsb21B2Xg.mp4/p7Fsb21B2Xg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p7Fsb21B2Xg.mp4/p7Fsb21B2Xg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p7Fsb21B2Xg.m3u8/p7Fsb21B2Xg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p7Fsb21B2Xg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4b64d771", "sha": "009ef8debf07db2bc541827b31c02deb0c73959a", "translated_description": "", "image_url": "https://img.youtube.com/vi/p7Fsb21B2Xg/hqdefault.jpg", "youtube_id": "p7Fsb21B2Xg", "content_kind": "Video", "readable_id": "drawing-dot-structures"}, {"translated_youtube_id": "dNPs-cr_6Bk", "relative_url": "/video/formal-charge-and-dot-structures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/formal-charge-and-dot-structures", "duration": 690, "translated_title": "Formal charge and dot structures", "translated_description_html": "", "id": "x999bc93d", "description_html": "", "title": "Formal charge and dot structures", "progress_key": "vx999bc93d", "edit_slug": "edit/v/x999bc93d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/formal-charge-and-dot-structures", "deleted": false, "backup_timestamp": "2013-10-19T22:28:40Z", "date_added": "2013-10-19T22:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dNPs-cr_6Bk.mp4/dNPs-cr_6Bk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dNPs-cr_6Bk.mp4/dNPs-cr_6Bk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dNPs-cr_6Bk.m3u8/dNPs-cr_6Bk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dNPs-cr_6Bk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx999bc93d", "sha": "9205f05197de0895def5720615653db58ee5151e", "translated_description": "", "image_url": "https://img.youtube.com/vi/dNPs-cr_6Bk/hqdefault.jpg", "youtube_id": "dNPs-cr_6Bk", "content_kind": "Video", "readable_id": "formal-charge-and-dot-structures"}, {"translated_youtube_id": "bUCu7bPkZeI", "relative_url": "/video/resonance-and-dot-structures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/resonance-and-dot-structures", "duration": 375, "translated_title": "Resonance and dot structures", "translated_description_html": "", "id": "xc17639e8", "description_html": "", "title": "Resonance and dot structures", "progress_key": "vxc17639e8", "edit_slug": "edit/v/xc17639e8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/resonance-and-dot-structures", "deleted": false, "backup_timestamp": "2013-10-19T22:28:40Z", "date_added": "2013-10-19T22:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bUCu7bPkZeI.mp4/bUCu7bPkZeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bUCu7bPkZeI.mp4/bUCu7bPkZeI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bUCu7bPkZeI.m3u8/bUCu7bPkZeI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bUCu7bPkZeI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc17639e8", "sha": "b2c253610b89a7c9a8dc0b240e9b0d1397e677e4", "translated_description": "", "image_url": "https://img.youtube.com/vi/bUCu7bPkZeI/hqdefault.jpg", "youtube_id": "bUCu7bPkZeI", "content_kind": "Video", "readable_id": "resonance-and-dot-structures"}, {"translated_youtube_id": "97POZGcfoY8", "relative_url": "/video/vsepr-for-2-electron-clouds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-2-electron-clouds", "duration": 484, "translated_title": "VSEPR for 2 electron clouds", "translated_description_html": "", "id": "x072a19ee", "description_html": "", "title": "VSEPR for 2 electron clouds", "progress_key": "vx072a19ee", "edit_slug": "edit/v/x072a19ee", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-2-electron-clouds", "deleted": false, "backup_timestamp": "2013-10-19T22:28:40Z", "date_added": "2013-10-19T22:28:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/97POZGcfoY8.mp4/97POZGcfoY8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/97POZGcfoY8.mp4/97POZGcfoY8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/97POZGcfoY8.m3u8/97POZGcfoY8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=97POZGcfoY8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx072a19ee", "sha": "1659fee54ac34612373d28d73fdc590250632410", "translated_description": "", "image_url": "https://img.youtube.com/vi/97POZGcfoY8/hqdefault.jpg", "youtube_id": "97POZGcfoY8", "content_kind": "Video", "readable_id": "vsepr-for-2-electron-clouds"}, {"translated_youtube_id": "3RDytvJYehY", "relative_url": "/video/vsepr-for-3-electron-clouds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-3-electron-clouds", "duration": 753, "translated_title": "VSEPR for 3 electron clouds", "translated_description_html": "", "id": "xdf5e267d", "description_html": "", "title": "VSEPR for 3 electron clouds", "progress_key": "vxdf5e267d", "edit_slug": "edit/v/xdf5e267d", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-3-electron-clouds", "deleted": false, "backup_timestamp": "2013-10-19T22:32:49Z", "date_added": "2013-10-19T22:32:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3RDytvJYehY.mp4/3RDytvJYehY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3RDytvJYehY.mp4/3RDytvJYehY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3RDytvJYehY.m3u8/3RDytvJYehY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3RDytvJYehY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf5e267d", "sha": "48940946cc4fd9a92a665f80063fd275f5399100", "translated_description": "", "image_url": "https://img.youtube.com/vi/3RDytvJYehY/hqdefault.jpg", "youtube_id": "3RDytvJYehY", "content_kind": "Video", "readable_id": "vsepr-for-3-electron-clouds"}, {"translated_youtube_id": "ka8Yt4bTODs", "relative_url": "/video/vsepr-for-4-electron-clouds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-4-electron-clouds", "duration": 605, "translated_title": "VSEPR for 4 electron clouds", "translated_description_html": "", "id": "x13e2fe6f", "description_html": "", "title": "VSEPR for 4 electron clouds", "progress_key": "vx13e2fe6f", "edit_slug": "edit/v/x13e2fe6f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-4-electron-clouds", "deleted": false, "backup_timestamp": "2013-10-19T22:32:49Z", "date_added": "2013-10-19T22:32:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ka8Yt4bTODs.mp4/ka8Yt4bTODs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ka8Yt4bTODs.mp4/ka8Yt4bTODs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ka8Yt4bTODs.m3u8/ka8Yt4bTODs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ka8Yt4bTODs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13e2fe6f", "sha": "d92eecd4d2162a7cabfb556ff548b4837babf47e", "translated_description": "", "image_url": "https://img.youtube.com/vi/ka8Yt4bTODs/hqdefault.jpg", "youtube_id": "ka8Yt4bTODs", "content_kind": "Video", "readable_id": "vsepr-for-4-electron-clouds"}, {"translated_youtube_id": "0na0xtIHkXA", "relative_url": "/video/vsepr-for-5-electron-clouds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-5-electron-clouds", "duration": 898, "translated_title": "VSEPR for 5 electron clouds", "translated_description_html": "", "id": "x6968389f", "description_html": "", "title": "VSEPR for 5 electron clouds", "progress_key": "vx6968389f", "edit_slug": "edit/v/x6968389f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-5-electron-clouds", "deleted": false, "backup_timestamp": "2013-10-19T22:32:49Z", "date_added": "2013-10-19T22:32:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0na0xtIHkXA.mp4/0na0xtIHkXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0na0xtIHkXA.mp4/0na0xtIHkXA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0na0xtIHkXA.m3u8/0na0xtIHkXA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0na0xtIHkXA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6968389f", "sha": "f4de290ccd742dfe1d1291f73e29a727164b9502", "translated_description": "", "image_url": "https://img.youtube.com/vi/0na0xtIHkXA/hqdefault.jpg", "youtube_id": "0na0xtIHkXA", "content_kind": "Video", "readable_id": "vsepr-for-5-electron-clouds"}, {"translated_youtube_id": "ufzlgOyWBHE", "relative_url": "/video/vsepr-for-5-electron-clouds--continued", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-5-electron-clouds--continued", "duration": 648, "translated_title": "VSEPR for 5 electron clouds (continued)", "translated_description_html": "", "id": "x14b19da7", "description_html": "", "title": "VSEPR for 5 electron clouds (continued)", "progress_key": "vx14b19da7", "edit_slug": "edit/v/x14b19da7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-5-electron-clouds--continued", "deleted": false, "backup_timestamp": "2013-10-19T22:32:49Z", "date_added": "2013-10-19T22:32:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ufzlgOyWBHE.mp4/ufzlgOyWBHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ufzlgOyWBHE.mp4/ufzlgOyWBHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ufzlgOyWBHE.m3u8/ufzlgOyWBHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ufzlgOyWBHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14b19da7", "sha": "43362dc03e0901f2df586008219b26054c8d9bc0", "translated_description": "", "image_url": "https://img.youtube.com/vi/ufzlgOyWBHE/hqdefault.jpg", "youtube_id": "ufzlgOyWBHE", "content_kind": "Video", "readable_id": "vsepr-for-5-electron-clouds--continued"}, {"translated_youtube_id": "WEoml1Fs26I", "relative_url": "/video/vsepr-for-6-electron-clouds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vsepr-for-6-electron-clouds", "duration": 749, "translated_title": "VSEPR for 6 electron clouds", "translated_description_html": "", "id": "x0795dd14", "description_html": "", "title": "VSEPR for 6 electron clouds", "progress_key": "vx0795dd14", "edit_slug": "edit/v/x0795dd14", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/vsepr-for-6-electron-clouds", "deleted": false, "backup_timestamp": "2013-10-19T22:32:50Z", "date_added": "2013-10-19T22:32:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WEoml1Fs26I.mp4/WEoml1Fs26I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WEoml1Fs26I.mp4/WEoml1Fs26I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WEoml1Fs26I.m3u8/WEoml1Fs26I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WEoml1Fs26I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0795dd14", "sha": "e3f232c461d3a9567589679e5b4a0238bff6e60b", "translated_description": "", "image_url": "https://img.youtube.com/vi/WEoml1Fs26I/hqdefault.jpg", "youtube_id": "WEoml1Fs26I", "content_kind": "Video", "readable_id": "vsepr-for-6-electron-clouds"}], "twitter_url": "", "translated_description": "5B: Learn how to draw Lewis dot structures, assign formal charges, draw resonance structures, and analyze the geometry of molecules and ions using VSEPR. By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5B: Learn how to draw Lewis dot structures, assign formal charges, draw resonance structures, and analyze the geometry of molecules and ions using VSEPR. By Jay.", "x_pos": 0.0, "node_slug": "dot-structures", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T22:28:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax268aef38", "topic_page_url": "/science/mcat/chemical-processes/dot-structures", "extended_slug": "science/mcat/chemical-processes/dot-structures", "slug": "dot-structures", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ff3a85a0a8de74c2e4866c0cd62d86a3203c1ca2", "standalone_title": "Dot structures", "y_pos": 0.0, "current_revision_key": "ff3a85a0a8de74c2e4866c0cd62d86a3203c1ca2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/stereochemistry", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/stereochemistry", "translated_standalone_title": "Stereochemistry", "translated_title": "Stereochemistry", "gplus_url": "", "id": "xaa41a151", "old_key_name": null, "hide": false, "title": "Stereochemistry", "child_data": [{"kind": "Video", "id": "x2d4eb172"}, {"kind": "Video", "id": "xf95642ce"}, {"kind": "Video", "id": "xd48f9149"}, {"kind": "Video", "id": "xf517bb1f"}, {"kind": "Video", "id": "xeea2a384"}, {"kind": "Video", "id": "x831bd3cd"}, {"kind": "Video", "id": "x2ed26ccb"}, {"kind": "Video", "id": "xbaa79885"}, {"kind": "Video", "id": "x2f089211"}], "children": [{"translated_youtube_id": "-kUdsusTL1A", "relative_url": "/video/structural--constitutional--isomers-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structural--constitutional--isomers-1", "duration": 628, "translated_title": "Structural (constitutional) isomers", "translated_description_html": "", "id": "x2d4eb172", "description_html": "", "title": "Structural (constitutional) isomers", "progress_key": "vx2d4eb172", "edit_slug": "edit/v/x2d4eb172", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/structural--constitutional--isomers-1", "deleted": false, "backup_timestamp": "2013-10-29T01:58:07Z", "date_added": "2013-10-29T01:58:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-kUdsusTL1A.mp4/-kUdsusTL1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-kUdsusTL1A.mp4/-kUdsusTL1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-kUdsusTL1A.m3u8/-kUdsusTL1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-kUdsusTL1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2d4eb172", "sha": "3c038f294937bf6a0a7ce1fa4d66cb886b35e6ed", "translated_description": "", "image_url": "https://img.youtube.com/vi/-kUdsusTL1A/hqdefault.jpg", "youtube_id": "-kUdsusTL1A", "content_kind": "Video", "readable_id": "structural--constitutional--isomers-1"}, {"translated_youtube_id": "Uqnp07sDOTY", "relative_url": "/video/chirality-centers-and-stereoisomers-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chirality-centers-and-stereoisomers-1", "duration": 762, "translated_title": "Chirality centers and stereoisomers", "translated_description_html": "", "id": "xf95642ce", "description_html": "", "title": "Chirality centers and stereoisomers", "progress_key": "vxf95642ce", "edit_slug": "edit/v/xf95642ce", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/chirality-centers-and-stereoisomers-1", "deleted": false, "backup_timestamp": "2013-10-29T01:58:06Z", "date_added": "2013-10-29T01:58:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uqnp07sDOTY.mp4/Uqnp07sDOTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uqnp07sDOTY.mp4/Uqnp07sDOTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uqnp07sDOTY.m3u8/Uqnp07sDOTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uqnp07sDOTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf95642ce", "sha": "a1612c35980a4bbd28524688fcc268429cad1f49", "translated_description": "", "image_url": "https://img.youtube.com/vi/Uqnp07sDOTY/hqdefault.jpg", "youtube_id": "Uqnp07sDOTY", "content_kind": "Video", "readable_id": "chirality-centers-and-stereoisomers-1"}, {"translated_youtube_id": "MhycfpqDIW0", "relative_url": "/video/r-s-system-for-determing-absolute-configuration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/r-s-system-for-determing-absolute-configuration", "duration": 648, "translated_title": "R,S system for determining absolute configuration", "translated_description_html": "", "id": "xd48f9149", "description_html": "", "title": "R,S system for determining absolute configuration", "progress_key": "vxd48f9149", "edit_slug": "edit/v/xd48f9149", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/r-s-system-for-determing-absolute-configuration", "deleted": false, "backup_timestamp": "2013-10-29T01:58:07Z", "date_added": "2013-10-29T01:58:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MhycfpqDIW0.mp4/MhycfpqDIW0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MhycfpqDIW0.mp4/MhycfpqDIW0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MhycfpqDIW0.m3u8/MhycfpqDIW0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MhycfpqDIW0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd48f9149", "sha": "83595d661be153337d2d7be14f1f0201a89df666", "translated_description": "", "image_url": "https://img.youtube.com/vi/MhycfpqDIW0/hqdefault.jpg", "youtube_id": "MhycfpqDIW0", "content_kind": "Video", "readable_id": "r-s-system-for-determing-absolute-configuration"}, {"translated_youtube_id": "ZhOL4VBF8Ow", "relative_url": "/video/r-s-system-for-cyclic-compounds-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/r-s-system-for-cyclic-compounds-1", "duration": 742, "translated_title": "R,S system for cyclic compounds", "translated_description_html": "", "id": "xf517bb1f", "description_html": "", "title": "R,S system for cyclic compounds", "progress_key": "vxf517bb1f", "edit_slug": "edit/v/xf517bb1f", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/r-s-system-for-cyclic-compounds-1", "deleted": false, "backup_timestamp": "2013-10-29T01:58:07Z", "date_added": "2013-10-29T01:58:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZhOL4VBF8Ow.mp4/ZhOL4VBF8Ow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZhOL4VBF8Ow.mp4/ZhOL4VBF8Ow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZhOL4VBF8Ow.m3u8/ZhOL4VBF8Ow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZhOL4VBF8Ow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf517bb1f", "sha": "2eed9555718bcb82ef896e877872eb2247216063", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZhOL4VBF8Ow/hqdefault.jpg", "youtube_id": "ZhOL4VBF8Ow", "content_kind": "Video", "readable_id": "r-s-system-for-cyclic-compounds-1"}, {"translated_youtube_id": "d643aaG5qyI", "relative_url": "/video/optical-activity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/optical-activity", "duration": 804, "translated_title": "Optical activity", "translated_description_html": "", "id": "xeea2a384", "description_html": "", "title": "Optical activity", "progress_key": "vxeea2a384", "edit_slug": "edit/v/xeea2a384", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/optical-activity", "deleted": false, "backup_timestamp": "2013-10-29T02:02:41Z", "date_added": "2013-10-29T02:02:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d643aaG5qyI.mp4/d643aaG5qyI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d643aaG5qyI.mp4/d643aaG5qyI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d643aaG5qyI.m3u8/d643aaG5qyI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d643aaG5qyI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeea2a384", "sha": "a1d2bdad1362f186d521c7606d72569502f5dab6", "translated_description": "", "image_url": "https://img.youtube.com/vi/d643aaG5qyI/hqdefault.jpg", "youtube_id": "d643aaG5qyI", "content_kind": "Video", "readable_id": "optical-activity"}, {"translated_youtube_id": "dMSSqzJQ5Ow", "relative_url": "/video/diastereomers-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diastereomers-1", "duration": 556, "translated_title": "Diastereomers", "translated_description_html": "", "id": "x831bd3cd", "description_html": "", "title": "Diastereomers", "progress_key": "vx831bd3cd", "edit_slug": "edit/v/x831bd3cd", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/diastereomers-1", "deleted": false, "backup_timestamp": "2013-10-29T02:02:41Z", "date_added": "2013-10-29T02:02:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dMSSqzJQ5Ow.mp4/dMSSqzJQ5Ow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dMSSqzJQ5Ow.mp4/dMSSqzJQ5Ow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dMSSqzJQ5Ow.m3u8/dMSSqzJQ5Ow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dMSSqzJQ5Ow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx831bd3cd", "sha": "ad48165853220106cdf3ad7ed7f24cd0bc74623a", "translated_description": "", "image_url": "https://img.youtube.com/vi/dMSSqzJQ5Ow/hqdefault.jpg", "youtube_id": "dMSSqzJQ5Ow", "content_kind": "Video", "readable_id": "diastereomers-1"}, {"translated_youtube_id": "J5mL49hamHs", "relative_url": "/video/cis-trans-and-the-e-z-system-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cis-trans-and-the-e-z-system-1", "duration": 570, "translated_title": "Cis-trans and the E-Z system", "translated_description_html": "", "id": "x2ed26ccb", "description_html": "", "title": "Cis-trans and the E-Z system", "progress_key": "vx2ed26ccb", "edit_slug": "edit/v/x2ed26ccb", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/cis-trans-and-the-e-z-system-1", "deleted": false, "backup_timestamp": "2013-10-29T02:02:41Z", "date_added": "2013-10-29T02:02:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J5mL49hamHs.mp4/J5mL49hamHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J5mL49hamHs.mp4/J5mL49hamHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J5mL49hamHs.m3u8/J5mL49hamHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J5mL49hamHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2ed26ccb", "sha": "e0282b41a29cf1f126e69cbda4e9f2317f22dd25", "translated_description": "", "image_url": "https://img.youtube.com/vi/J5mL49hamHs/hqdefault.jpg", "youtube_id": "J5mL49hamHs", "content_kind": "Video", "readable_id": "cis-trans-and-the-e-z-system-1"}, {"translated_youtube_id": "vLazrEGhB80", "relative_url": "/video/conformations-of-ethane-and-propane-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-ethane-and-propane-1", "duration": 837, "translated_title": "Conformations of ethane and propane", "translated_description_html": "", "id": "xbaa79885", "description_html": "", "title": "Conformations of ethane and propane", "progress_key": "vxbaa79885", "edit_slug": "edit/v/xbaa79885", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/conformations-of-ethane-and-propane-1", "deleted": false, "backup_timestamp": "2013-10-29T02:02:41Z", "date_added": "2013-10-29T02:02:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vLazrEGhB80.mp4/vLazrEGhB80.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vLazrEGhB80.mp4/vLazrEGhB80.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vLazrEGhB80.m3u8/vLazrEGhB80.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vLazrEGhB80&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbaa79885", "sha": "e68ee7222daa4650ef07b27b0c87ae6c58b53052", "translated_description": "", "image_url": "https://img.youtube.com/vi/vLazrEGhB80/hqdefault.jpg", "youtube_id": "vLazrEGhB80", "content_kind": "Video", "readable_id": "conformations-of-ethane-and-propane-1"}, {"translated_youtube_id": "zDsarxZhhvs", "relative_url": "/video/conformations-of-butane-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformations-of-butane-1", "duration": 833, "translated_title": "Conformations of butane", "translated_description_html": "", "id": "x2f089211", "description_html": "", "title": "Conformations of butane", "progress_key": "vx2f089211", "edit_slug": "edit/v/x2f089211", "author_names": ["Jay"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/conformations-of-butane-1", "deleted": false, "backup_timestamp": "2013-10-29T02:02:41Z", "date_added": "2013-10-29T02:02:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zDsarxZhhvs.mp4/zDsarxZhhvs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zDsarxZhhvs.mp4/zDsarxZhhvs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zDsarxZhhvs.m3u8/zDsarxZhhvs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zDsarxZhhvs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2f089211", "sha": "008695b89f82bf6ee2ca0cb07c01a515c30c7915", "translated_description": "", "image_url": "https://img.youtube.com/vi/zDsarxZhhvs/hqdefault.jpg", "youtube_id": "zDsarxZhhvs", "content_kind": "Video", "readable_id": "conformations-of-butane-1"}], "twitter_url": "", "translated_description": "5B: Get an overview of isomers and stereochemistry including structural isomers, stereoisomers, diastereomers, and conformational isomers. By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5B: Get an overview of isomers and stereochemistry including structural isomers, stereoisomers, diastereomers, and conformational isomers. By Jay.", "x_pos": 0.0, "node_slug": "stereochemistry", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-29T01:58:06Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaa41a151", "topic_page_url": "/science/mcat/chemical-processes/stereochemistry", "extended_slug": "science/mcat/chemical-processes/stereochemistry", "slug": "stereochemistry", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0ce49938d505e3776e6ed061cf0061c23a3d6694", "standalone_title": "Stereochemistry", "y_pos": 0.0, "current_revision_key": "0ce49938d505e3776e6ed061cf0061c23a3d6694", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/covalent-bonds", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/covalent-bonds", "translated_standalone_title": "covalent bonds", "translated_title": "Covalent bonds", "gplus_url": "", "id": "x76b0c72a", "old_key_name": null, "hide": false, "title": "Covalent bonds", "child_data": [{"kind": "Video", "id": "x59b3d3e1"}, {"kind": "Video", "id": "x3afd9d19"}, {"kind": "Video", "id": "xc93cb258"}, {"kind": "Video", "id": "x1d1aff94"}, {"kind": "Video", "id": "x481edcda"}, {"kind": "Video", "id": "x57ecb61f"}, {"kind": "Video", "id": "x3d65853e"}, {"kind": "Video", "id": "x03aa879e"}, {"kind": "Video", "id": "x659fc4fb"}], "children": [{"translated_youtube_id": "48tgq_wzh4w", "relative_url": "/video/sp3-hybrid-orbitals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp3-hybrid-orbitals", "duration": 693, "translated_title": "sp3 hybrid orbitals", "translated_description_html": "


<\/p>", "id": "x59b3d3e1", "description_html": "


<\/p>", "title": "sp3 hybrid orbitals", "progress_key": "vx59b3d3e1", "edit_slug": "edit/v/x59b3d3e1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sp3-hybrid-orbitals", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/48tgq_wzh4w.mp4/48tgq_wzh4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/48tgq_wzh4w.mp4/48tgq_wzh4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/48tgq_wzh4w.m3u8/48tgq_wzh4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=48tgq_wzh4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx59b3d3e1", "sha": "332e031c67fd171bf3efc1439201918263285931", "translated_description": "", "image_url": "https://img.youtube.com/vi/48tgq_wzh4w/hqdefault.jpg", "youtube_id": "48tgq_wzh4w", "content_kind": "Video", "readable_id": "sp3-hybrid-orbitals"}, {"translated_youtube_id": "UL4WoFVSH2M", "relative_url": "/video/sp2-hybrid-orbitals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp2-hybrid-orbitals", "duration": 691, "translated_title": "sp2 hybrid orbitals", "translated_description_html": "


<\/p>", "id": "x3afd9d19", "description_html": "


<\/p>", "title": "sp2 hybrid orbitals", "progress_key": "vx3afd9d19", "edit_slug": "edit/v/x3afd9d19", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sp2-hybrid-orbitals", "deleted": false, "backup_timestamp": "2013-11-14T19:13:40Z", "date_added": "2013-11-14T19:13:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UL4WoFVSH2M.mp4/UL4WoFVSH2M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UL4WoFVSH2M.mp4/UL4WoFVSH2M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UL4WoFVSH2M.m3u8/UL4WoFVSH2M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UL4WoFVSH2M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3afd9d19", "sha": "d17bc7f3034dd5f11f7e87008579834c246e6a2b", "translated_description": "", "image_url": "https://img.youtube.com/vi/UL4WoFVSH2M/hqdefault.jpg", "youtube_id": "UL4WoFVSH2M", "content_kind": "Video", "readable_id": "sp2-hybrid-orbitals"}, {"translated_youtube_id": "UfhUx3s8378", "relative_url": "/video/sp-hybrid-orbitals", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp-hybrid-orbitals", "duration": 736, "translated_title": "sp hybrid orbitals", "translated_description_html": "


<\/p>", "id": "xc93cb258", "description_html": "


<\/p>", "title": "sp hybrid orbitals", "progress_key": "vxc93cb258", "edit_slug": "edit/v/xc93cb258", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sp-hybrid-orbitals", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UfhUx3s8378.mp4/UfhUx3s8378.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UfhUx3s8378.mp4/UfhUx3s8378.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UfhUx3s8378.m3u8/UfhUx3s8378.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UfhUx3s8378&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc93cb258", "sha": "896e73b757c6b68967f368439c349d2b32e9a681", "translated_description": "", "image_url": "https://img.youtube.com/vi/UfhUx3s8378/hqdefault.jpg", "youtube_id": "UfhUx3s8378", "content_kind": "Video", "readable_id": "sp-hybrid-orbitals"}, {"translated_youtube_id": "jtu8zdCbl54", "relative_url": "/video/sp2-sp-clarification", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sp2-sp-clarification", "duration": 116, "translated_title": "sp2, sp clarification", "translated_description_html": "


<\/p>", "id": "x1d1aff94", "description_html": "


<\/p>", "title": "sp2, sp clarification", "progress_key": "vx1d1aff94", "edit_slug": "edit/v/x1d1aff94", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/sp2-sp-clarification", "deleted": false, "backup_timestamp": "2013-11-14T19:13:40Z", "date_added": "2013-11-14T19:13:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jtu8zdCbl54.mp4/jtu8zdCbl54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jtu8zdCbl54.mp4/jtu8zdCbl54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jtu8zdCbl54.m3u8/jtu8zdCbl54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jtu8zdCbl54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d1aff94", "sha": "ca6e76b84ca0f478f6f9ddd41c22d4db61d13f1b", "translated_description": "", "image_url": "https://img.youtube.com/vi/jtu8zdCbl54/hqdefault.jpg", "youtube_id": "jtu8zdCbl54", "content_kind": "Video", "readable_id": "sp2-sp-clarification"}, {"translated_youtube_id": "CXcBsR3i5mc", "relative_url": "/video/steric-number-and-hybridization", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/steric-number-and-hybridization", "duration": 729, "translated_title": "Steric number and hybridization", "translated_description_html": "", "id": "x481edcda", "description_html": "", "title": "Steric number and hybridization", "progress_key": "vx481edcda", "edit_slug": "edit/v/x481edcda", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/steric-number-and-hybridization", "deleted": false, "backup_timestamp": "2013-11-14T19:13:40Z", "date_added": "2013-11-14T19:13:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CXcBsR3i5mc.mp4/CXcBsR3i5mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CXcBsR3i5mc.mp4/CXcBsR3i5mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CXcBsR3i5mc.m3u8/CXcBsR3i5mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CXcBsR3i5mc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx481edcda", "sha": "a5a4ec6e3072000ec94bc601b6c4962da3514ff3", "translated_description": "", "image_url": "https://img.youtube.com/vi/CXcBsR3i5mc/hqdefault.jpg", "youtube_id": "CXcBsR3i5mc", "content_kind": "Video", "readable_id": "steric-number-and-hybridization"}, {"translated_youtube_id": "126N4hox9YA", "relative_url": "/video/electronegativity-and-chemical bonds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/electronegativity-and-chemical bonds", "duration": 699, "translated_title": "Electronegativity", "translated_description_html": "", "id": "x57ecb61f", "description_html": "", "title": "Electronegativity", "progress_key": "vx57ecb61f", "edit_slug": "edit/v/x57ecb61f", "author_names": [], "deleted_mod_time": null, "description": "Electronegativity differences in bonding", "extra_properties": {}, "node_slug": "v/electronegativity-and-chemical bonds", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/126N4hox9YA.mp4/126N4hox9YA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/126N4hox9YA.mp4/126N4hox9YA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/126N4hox9YA.m3u8/126N4hox9YA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=126N4hox9YA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx57ecb61f", "sha": "078b83b3c8a2fa848adc33a7ed87a141df09fbda", "translated_description": "Electronegativity differences in bonding", "image_url": "https://img.youtube.com/vi/126N4hox9YA/hqdefault.jpg", "youtube_id": "126N4hox9YA", "content_kind": "Video", "readable_id": "electronegativity-and-chemical bonds"}, {"translated_youtube_id": "pBZ-RiT5nEE", "relative_url": "/video/intermolecular-forces-and-molecular bonds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/intermolecular-forces-and-molecular bonds", "duration": 516, "translated_title": "Intermolecular forces", "translated_description_html": "


<\/p>", "id": "x3d65853e", "description_html": "


<\/p>", "title": "Intermolecular forces", "progress_key": "vx3d65853e", "edit_slug": "edit/v/x3d65853e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/intermolecular-forces-and-molecular bonds", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pBZ-RiT5nEE.mp4/pBZ-RiT5nEE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pBZ-RiT5nEE.mp4/pBZ-RiT5nEE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pBZ-RiT5nEE.m3u8/pBZ-RiT5nEE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pBZ-RiT5nEE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3d65853e", "sha": "0024eeb7a93ce0a70b9336ab6011295e2c177db6", "translated_description": "", "image_url": "https://img.youtube.com/vi/pBZ-RiT5nEE/hqdefault.jpg", "youtube_id": "pBZ-RiT5nEE", "content_kind": "Video", "readable_id": "intermolecular-forces-and-molecular bonds"}, {"translated_youtube_id": "q3g3jsmCOEQ", "relative_url": "/video/dipole-moment", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dipole-moment", "duration": 562, "translated_title": "Dipole moment", "translated_description_html": "


<\/p>", "id": "x03aa879e", "description_html": "


<\/p>", "title": "Dipole moment", "progress_key": "vx03aa879e", "edit_slug": "edit/v/x03aa879e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/dipole-moment", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q3g3jsmCOEQ.mp4/q3g3jsmCOEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q3g3jsmCOEQ.mp4/q3g3jsmCOEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q3g3jsmCOEQ.m3u8/q3g3jsmCOEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q3g3jsmCOEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03aa879e", "sha": "45fedad814b0ecb87e7ae9f0b033663b074f5a76", "translated_description": "", "image_url": "https://img.youtube.com/vi/q3g3jsmCOEQ/hqdefault.jpg", "youtube_id": "q3g3jsmCOEQ", "content_kind": "Video", "readable_id": "dipole-moment"}, {"translated_youtube_id": "9JZqO_Kqrqo", "relative_url": "/video/acid-base-definition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/acid-base-definition", "duration": 512, "translated_title": "Acid base definitions", "translated_description_html": "", "id": "x659fc4fb", "description_html": "", "title": "Acid base definitions", "progress_key": "vx659fc4fb", "edit_slug": "edit/v/x659fc4fb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/acid-base-definition", "deleted": false, "backup_timestamp": "2013-11-14T19:13:41Z", "date_added": "2013-11-14T19:13:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9JZqO_Kqrqo.mp4/9JZqO_Kqrqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9JZqO_Kqrqo.mp4/9JZqO_Kqrqo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9JZqO_Kqrqo.m3u8/9JZqO_Kqrqo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9JZqO_Kqrqo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx659fc4fb", "sha": "67760bacb79a3e2683a8f22cfa067b9d7f833ee9", "translated_description": "", "image_url": "https://img.youtube.com/vi/9JZqO_Kqrqo/hqdefault.jpg", "youtube_id": "9JZqO_Kqrqo", "content_kind": "Video", "readable_id": "acid-base-definition"}], "twitter_url": "", "translated_description": "5B: Learn about covalent bonds and SP hybridization. By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5B: Learn about covalent bonds and SP hybridization. By Jay.", "x_pos": 0.0, "node_slug": "covalent-bonds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-14T19:13:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax76b0c72a", "topic_page_url": "/science/mcat/chemical-processes/covalent-bonds", "extended_slug": "science/mcat/chemical-processes/covalent-bonds", "slug": "covalent-bonds", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b85a4f9a84d69adbb9279bc67c1057a5f56eeb31", "standalone_title": "covalent bonds", "y_pos": 0.0, "current_revision_key": "b85a4f9a84d69adbb9279bc67c1057a5f56eeb31", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/separations-purifications", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/separations-purifications", "translated_standalone_title": "Separations and purifications", "translated_title": "Separations and purifications", "gplus_url": "", "id": "x8bda57c7", "old_key_name": null, "hide": false, "title": "Separations and purifications", "child_data": [{"kind": "Video", "id": "x348a60e3"}, {"kind": "Video", "id": "xc80e4cd2"}, {"kind": "Video", "id": "x9ba4db97"}, {"kind": "Video", "id": "x7d03c65d"}, {"kind": "Video", "id": "x053d4072"}, {"kind": "Video", "id": "x78f82f7d"}, {"kind": "Video", "id": "x8f8294e8"}, {"kind": "Video", "id": "x42794516"}, {"kind": "Video", "id": "xc7c3f9d1"}, {"kind": "Exercise", "id": "xeb70281d"}, {"kind": "Exercise", "id": "x26d35df6"}], "children": [{"translated_youtube_id": "3pL2X-8-eVk", "relative_url": "/video/simple-and-fractional-distillations", "has_questions": false, "keywords": "fractional distillations, simple distillations", "ka_url": "http://www.khanacademy.org/video/simple-and-fractional-distillations", "duration": 570, "translated_title": "Simple and fractional distillations", "translated_description_html": "

Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. <\/span><\/p>\n", "id": "x348a60e3", "description_html": "

Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. <\/span><\/p>\n", "title": "Simple and fractional distillations", "progress_key": "vx348a60e3", "edit_slug": "edit/v/x348a60e3", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/simple-and-fractional-distillations", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3pL2X-8-eVk.mp4/3pL2X-8-eVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3pL2X-8-eVk.mp4/3pL2X-8-eVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3pL2X-8-eVk.m3u8/3pL2X-8-eVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3pL2X-8-eVk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx348a60e3", "sha": "c5a31343384a3bd07363495b3b4578caa798d835", "translated_description": "Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/3pL2X-8-eVk/hqdefault.jpg", "youtube_id": "3pL2X-8-eVk", "content_kind": "Video", "readable_id": "simple-and-fractional-distillations"}, {"translated_youtube_id": "NgsuPTLkPgs", "relative_url": "/video/extractions", "has_questions": false, "keywords": "extraction", "ka_url": "http://www.khanacademy.org/video/extractions", "duration": 519, "translated_title": "Extractions", "translated_description_html": "

Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. <\/span><\/p>\n", "id": "xc80e4cd2", "description_html": "

Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. <\/span><\/p>\n", "title": "Extractions", "progress_key": "vxc80e4cd2", "edit_slug": "edit/v/xc80e4cd2", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/extractions", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NgsuPTLkPgs.mp4/NgsuPTLkPgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NgsuPTLkPgs.mp4/NgsuPTLkPgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NgsuPTLkPgs.m3u8/NgsuPTLkPgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NgsuPTLkPgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc80e4cd2", "sha": "4aa9db05db683138d5200e08580a33f390035cfc", "translated_description": "Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/NgsuPTLkPgs/hqdefault.jpg", "youtube_id": "NgsuPTLkPgs", "content_kind": "Video", "readable_id": "extractions"}, {"translated_youtube_id": "SnbXQTTHGs4", "relative_url": "/video/basics-of-chromatography", "has_questions": false, "keywords": "chromatography", "ka_url": "http://www.khanacademy.org/video/basics-of-chromatography", "duration": 556, "translated_title": "Basics of chromatography", "translated_description_html": "

Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. <\/span><\/p>\n", "id": "x9ba4db97", "description_html": "

Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. <\/span><\/p>\n", "title": "Basics of chromatography", "progress_key": "vx9ba4db97", "edit_slug": "edit/v/x9ba4db97", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/basics-of-chromatography", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SnbXQTTHGs4.mp4/SnbXQTTHGs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SnbXQTTHGs4.mp4/SnbXQTTHGs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SnbXQTTHGs4.m3u8/SnbXQTTHGs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SnbXQTTHGs4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ba4db97", "sha": "b1c7d14ef08d0f1d84416eeb86b6f6fdafc36589", "translated_description": "Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/SnbXQTTHGs4/hqdefault.jpg", "youtube_id": "SnbXQTTHGs4", "content_kind": "Video", "readable_id": "basics-of-chromatography"}, {"translated_youtube_id": "e3lRt9XdV0s", "relative_url": "/video/thin-layer-chromatography", "has_questions": false, "keywords": "thin layer chromatography", "ka_url": "http://www.khanacademy.org/video/thin-layer-chromatography", "duration": 307, "translated_title": "Thin layer chromatography (TLC)", "translated_description_html": "

Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. <\/span><\/p>\n", "id": "x7d03c65d", "description_html": "

Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. <\/span><\/p>\n", "title": "Thin layer chromatography (TLC)", "progress_key": "vx7d03c65d", "edit_slug": "edit/v/x7d03c65d", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/thin-layer-chromatography", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e3lRt9XdV0s.mp4/e3lRt9XdV0s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e3lRt9XdV0s.mp4/e3lRt9XdV0s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e3lRt9XdV0s.m3u8/e3lRt9XdV0s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e3lRt9XdV0s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7d03c65d", "sha": "e68144b27911d513eb289f5d0348bef6c898044c", "translated_description": "Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/e3lRt9XdV0s/hqdefault.jpg", "youtube_id": "e3lRt9XdV0s", "content_kind": "Video", "readable_id": "thin-layer-chromatography"}, {"translated_youtube_id": "_DEScXFyI8s", "relative_url": "/video/calculating-retention-factors-for-tlc", "has_questions": false, "keywords": "retention factors, TLC, chromatography", "ka_url": "http://www.khanacademy.org/video/calculating-retention-factors-for-tlc", "duration": 441, "translated_title": "Calculating retention factors for TLC", "translated_description_html": "

Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. <\/span><\/p>\n", "id": "x053d4072", "description_html": "

Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. <\/span><\/p>\n", "title": "Calculating retention factors for TLC", "progress_key": "vx053d4072", "edit_slug": "edit/v/x053d4072", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/calculating-retention-factors-for-tlc", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_DEScXFyI8s.mp4/_DEScXFyI8s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_DEScXFyI8s.mp4/_DEScXFyI8s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_DEScXFyI8s.m3u8/_DEScXFyI8s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_DEScXFyI8s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx053d4072", "sha": "2ee80f66c1331c8818ea0322250a74ba5b636a51", "translated_description": "Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/_DEScXFyI8s/hqdefault.jpg", "youtube_id": "_DEScXFyI8s", "content_kind": "Video", "readable_id": "calculating-retention-factors-for-tlc"}, {"translated_youtube_id": "EOJrRnpiq5s", "relative_url": "/video/column-chromatography", "has_questions": false, "keywords": "column chromatography", "ka_url": "http://www.khanacademy.org/video/column-chromatography", "duration": 399, "translated_title": "Column chromatography", "translated_description_html": "

Learn how to separate chemicals using column chromatography. By Angela Guerrero. <\/span><\/p>\n", "id": "x78f82f7d", "description_html": "

Learn how to separate chemicals using column chromatography. By Angela Guerrero. <\/span><\/p>\n", "title": "Column chromatography", "progress_key": "vx78f82f7d", "edit_slug": "edit/v/x78f82f7d", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn how to separate chemicals using column chromatography. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/column-chromatography", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EOJrRnpiq5s.mp4/EOJrRnpiq5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EOJrRnpiq5s.mp4/EOJrRnpiq5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EOJrRnpiq5s.m3u8/EOJrRnpiq5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EOJrRnpiq5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx78f82f7d", "sha": "187ecc3d6d0a0d3c1dcda470d38423259e7c97df", "translated_description": "Learn how to separate chemicals using column chromatography. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/EOJrRnpiq5s/hqdefault.jpg", "youtube_id": "EOJrRnpiq5s", "content_kind": "Video", "readable_id": "column-chromatography"}, {"translated_youtube_id": "4Xaa9WdXVTM", "relative_url": "/video/gas-chromatography", "has_questions": false, "keywords": "gas chromatography", "ka_url": "http://www.khanacademy.org/video/gas-chromatography", "duration": 518, "translated_title": "Gas chromatography", "translated_description_html": "

Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. <\/span><\/p>\n", "id": "x8f8294e8", "description_html": "

Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. <\/span><\/p>\n", "title": "Gas chromatography", "progress_key": "vx8f8294e8", "edit_slug": "edit/v/x8f8294e8", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/gas-chromatography", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Xaa9WdXVTM.mp4/4Xaa9WdXVTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Xaa9WdXVTM.mp4/4Xaa9WdXVTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Xaa9WdXVTM.m3u8/4Xaa9WdXVTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Xaa9WdXVTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8f8294e8", "sha": "7b14e83471c22fbf5ef4637d551dfc3b42d155f3", "translated_description": "Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/4Xaa9WdXVTM/hqdefault.jpg", "youtube_id": "4Xaa9WdXVTM", "content_kind": "Video", "readable_id": "gas-chromatography"}, {"translated_youtube_id": "mN5IvS96wNk", "relative_url": "/video/gel-electrophoresis", "has_questions": false, "keywords": "gel electrophoresis", "ka_url": "http://www.khanacademy.org/video/gel-electrophoresis", "duration": 419, "translated_title": "Gel electrophoresis", "translated_description_html": "

Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.<\/span><\/p>\n", "id": "x42794516", "description_html": "

Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.<\/span><\/p>\n", "title": "Gel electrophoresis", "progress_key": "vx42794516", "edit_slug": "edit/v/x42794516", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/gel-electrophoresis", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mN5IvS96wNk.mp4/mN5IvS96wNk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mN5IvS96wNk.mp4/mN5IvS96wNk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mN5IvS96wNk.m3u8/mN5IvS96wNk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mN5IvS96wNk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx42794516", "sha": "eac1eed85b25ed0a05ea7bbfd2fdb1fcf72af28c", "translated_description": "Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.\n", "image_url": "https://img.youtube.com/vi/mN5IvS96wNk/hqdefault.jpg", "youtube_id": "mN5IvS96wNk", "content_kind": "Video", "readable_id": "gel-electrophoresis"}, {"translated_youtube_id": "b2IpkXid-ec", "relative_url": "/video/resolution-of-enantiomers", "has_questions": false, "keywords": "enantiomers", "ka_url": "http://www.khanacademy.org/video/resolution-of-enantiomers", "duration": 302, "translated_title": "Resolution of enantiomers", "translated_description_html": "

Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. <\/span><\/p>\n", "id": "xc7c3f9d1", "description_html": "

Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. <\/span><\/p>\n", "title": "Resolution of enantiomers", "progress_key": "vxc7c3f9d1", "edit_slug": "edit/v/xc7c3f9d1", "author_names": ["Angela Guerrero"], "deleted_mod_time": null, "description": "Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/resolution-of-enantiomers", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b2IpkXid-ec.mp4/b2IpkXid-ec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b2IpkXid-ec.mp4/b2IpkXid-ec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b2IpkXid-ec.m3u8/b2IpkXid-ec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b2IpkXid-ec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc7c3f9d1", "sha": "e793f49a92754605bbd17f7512085c519b703198", "translated_description": "Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. \n", "image_url": "https://img.youtube.com/vi/b2IpkXid-ec/hqdefault.jpg", "youtube_id": "b2IpkXid-ec", "content_kind": "Video", "readable_id": "resolution-of-enantiomers"}], "twitter_url": "", "translated_description": "5C: Learn how to separate and purify chemical compounds using organic chemistry laboratory techniques, including extraction, distillation, chromatography, and gel electrophoresis. By Angela Guerrero.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5C: Learn how to separate and purify chemical compounds using organic chemistry laboratory techniques, including extraction, distillation, chromatography, and gel electrophoresis. By Angela Guerrero.", "x_pos": 0.0, "node_slug": "separations-purifications", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8bda57c7", "topic_page_url": "/science/mcat/chemical-processes/separations-purifications", "extended_slug": "science/mcat/chemical-processes/separations-purifications", "slug": "separations-purifications", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85574f5907c70bd3194cc6eace1b215d40fc8a7d", "standalone_title": "Separations and purifications", "y_pos": 0.0, "current_revision_key": "85574f5907c70bd3194cc6eace1b215d40fc8a7d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/alcohols-and-phenols", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/alcohols-and-phenols", "translated_standalone_title": "alcohols and phenols", "translated_title": "Alcohols and phenols", "gplus_url": "", "id": "xdad74afa", "old_key_name": null, "hide": false, "title": "Alcohols and phenols", "child_data": [{"kind": "Video", "id": "x7b36cf45"}, {"kind": "Video", "id": "x45bfbd29"}, {"kind": "Video", "id": "x48815a7c"}, {"kind": "Video", "id": "xfb40ae53"}, {"kind": "Video", "id": "xec775fab"}, {"kind": "Video", "id": "xd69060c0"}, {"kind": "Video", "id": "xb19c1cd0"}, {"kind": "Video", "id": "xd613715e"}, {"kind": "Video", "id": "xf8b0b315"}], "children": [{"translated_youtube_id": "h3iIi56Yae8", "relative_url": "/video/alcohol-nomenclature-rules", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alcohol-nomenclature-rules", "duration": 727, "translated_title": "Alcohol nomenclature", "translated_description_html": "", "id": "x7b36cf45", "description_html": "", "title": "Alcohol nomenclature", "progress_key": "vx7b36cf45", "edit_slug": "edit/v/x7b36cf45", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/alcohol-nomenclature-rules", "deleted": false, "backup_timestamp": "2013-11-14T19:49:25Z", "date_added": "2013-11-14T19:49:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h3iIi56Yae8.mp4/h3iIi56Yae8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h3iIi56Yae8.mp4/h3iIi56Yae8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h3iIi56Yae8.m3u8/h3iIi56Yae8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h3iIi56Yae8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b36cf45", "sha": "1013ec5c5c236d34a7b65d789b8dab641056d974", "translated_description": "", "image_url": "https://img.youtube.com/vi/h3iIi56Yae8/hqdefault.jpg", "youtube_id": "h3iIi56Yae8", "content_kind": "Video", "readable_id": "alcohol-nomenclature-rules"}, {"translated_youtube_id": "8p6R5yJjAGE", "relative_url": "/video/properties-of-alcohols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/properties-of-alcohols", "duration": 677, "translated_title": "Properties of alcohols", "translated_description_html": "", "id": "x45bfbd29", "description_html": "", "title": "Properties of alcohols", "progress_key": "vx45bfbd29", "edit_slug": "edit/v/x45bfbd29", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/properties-of-alcohols", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8p6R5yJjAGE.mp4/8p6R5yJjAGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8p6R5yJjAGE.mp4/8p6R5yJjAGE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8p6R5yJjAGE.m3u8/8p6R5yJjAGE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8p6R5yJjAGE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx45bfbd29", "sha": "238dbfff5445efe3f7a3f5283297364a57e7e65d", "translated_description": "", "image_url": "https://img.youtube.com/vi/8p6R5yJjAGE/hqdefault.jpg", "youtube_id": "8p6R5yJjAGE", "content_kind": "Video", "readable_id": "properties-of-alcohols"}, {"translated_youtube_id": "wyxqq9Tc7GQ", "relative_url": "/video/oxidation-of-alcohols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-of-alcohols", "duration": 759, "translated_title": "Oxidation of alcohols", "translated_description_html": "", "id": "x48815a7c", "description_html": "", "title": "Oxidation of alcohols", "progress_key": "vx48815a7c", "edit_slug": "edit/v/x48815a7c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/oxidation-of-alcohols", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wyxqq9Tc7GQ.mp4/wyxqq9Tc7GQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wyxqq9Tc7GQ.mp4/wyxqq9Tc7GQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wyxqq9Tc7GQ.m3u8/wyxqq9Tc7GQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wyxqq9Tc7GQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx48815a7c", "sha": "bd84a9e4af2cc6d9803e9ed450077e2d0ed5ddbc", "translated_description": "", "image_url": "https://img.youtube.com/vi/wyxqq9Tc7GQ/hqdefault.jpg", "youtube_id": "wyxqq9Tc7GQ", "content_kind": "Video", "readable_id": "oxidation-of-alcohols"}, {"translated_youtube_id": "P4DiY4DvvmY", "relative_url": "/video/oxidation-of-alcohols-example", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oxidation-of-alcohols-example", "duration": 423, "translated_title": "Oxidation of alcohols (examples)", "translated_description_html": "", "id": "xfb40ae53", "description_html": "", "title": "Oxidation of alcohols (examples)", "progress_key": "vxfb40ae53", "edit_slug": "edit/v/xfb40ae53", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/oxidation-of-alcohols-example", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P4DiY4DvvmY.mp4/P4DiY4DvvmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P4DiY4DvvmY.mp4/P4DiY4DvvmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P4DiY4DvvmY.m3u8/P4DiY4DvvmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P4DiY4DvvmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfb40ae53", "sha": "a3870ad58cd7016b916686efb1610a04a226541b", "translated_description": "", "image_url": "https://img.youtube.com/vi/P4DiY4DvvmY/hqdefault.jpg", "youtube_id": "P4DiY4DvvmY", "content_kind": "Video", "readable_id": "oxidation-of-alcohols-example"}, {"translated_youtube_id": "KsdZsWOsB84", "relative_url": "/video/protection-of-alcohols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/protection-of-alcohols", "duration": 474, "translated_title": "Protection of alcohols", "translated_description_html": "", "id": "xec775fab", "description_html": "", "title": "Protection of alcohols", "progress_key": "vxec775fab", "edit_slug": "edit/v/xec775fab", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/protection-of-alcohols", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KsdZsWOsB84.mp4/KsdZsWOsB84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KsdZsWOsB84.mp4/KsdZsWOsB84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KsdZsWOsB84.m3u8/KsdZsWOsB84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KsdZsWOsB84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec775fab", "sha": "d32eb136d0cdf93f176de272192e335d1dc01bf4", "translated_description": "", "image_url": "https://img.youtube.com/vi/KsdZsWOsB84/hqdefault.jpg", "youtube_id": "KsdZsWOsB84", "content_kind": "Video", "readable_id": "protection-of-alcohols"}, {"translated_youtube_id": "rR0LdZ-PfBk", "relative_url": "/video/preparation-of-mesylates-and-tosylates", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preparation-of-mesylates-and-tosylates", "duration": 521, "translated_title": "Preparation of mesylates and tosylates", "translated_description_html": "", "id": "xd69060c0", "description_html": "", "title": "Preparation of mesylates and tosylates", "progress_key": "vxd69060c0", "edit_slug": "edit/v/xd69060c0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/preparation-of-mesylates-and-tosylates", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rR0LdZ-PfBk.mp4/rR0LdZ-PfBk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rR0LdZ-PfBk.mp4/rR0LdZ-PfBk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rR0LdZ-PfBk.m3u8/rR0LdZ-PfBk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rR0LdZ-PfBk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd69060c0", "sha": "73d6bd26de1cceef2b8ec64e373c77face0dcccd", "translated_description": "", "image_url": "https://img.youtube.com/vi/rR0LdZ-PfBk/hqdefault.jpg", "youtube_id": "rR0LdZ-PfBk", "content_kind": "Video", "readable_id": "preparation-of-mesylates-and-tosylates"}, {"translated_youtube_id": "0w96SqrvVjw", "relative_url": "/video/biologic-redox-reactions-of-alcohols-and-phenols", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/biologic-redox-reactions-of-alcohols-and-phenols", "duration": 587, "translated_title": "Biological redox reactions of alcohols and phenols", "translated_description_html": "", "id": "xb19c1cd0", "description_html": "", "title": "Biological redox reactions of alcohols and phenols", "progress_key": "vxb19c1cd0", "edit_slug": "edit/v/xb19c1cd0", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/biologic-redox-reactions-of-alcohols-and-phenols", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0w96SqrvVjw.mp4/0w96SqrvVjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0w96SqrvVjw.mp4/0w96SqrvVjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0w96SqrvVjw.m3u8/0w96SqrvVjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0w96SqrvVjw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb19c1cd0", "sha": "3f0497990f39242c292504b3292cda40e44996a1", "translated_description": "", "image_url": "https://img.youtube.com/vi/0w96SqrvVjw/hqdefault.jpg", "youtube_id": "0w96SqrvVjw", "content_kind": "Video", "readable_id": "biologic-redox-reactions-of-alcohols-and-phenols"}, {"translated_youtube_id": "4eZpJo_60QQ", "relative_url": "/video/aromatic stability of benzene", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic stability of benzene", "duration": 360, "translated_title": "Aromatic stability of benzene", "translated_description_html": "", "id": "xd613715e", "description_html": "", "title": "Aromatic stability of benzene", "progress_key": "vxd613715e", "edit_slug": "edit/v/xd613715e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/aromatic stability of benzene", "deleted": false, "backup_timestamp": "2013-11-14T19:49:25Z", "date_added": "2013-11-14T19:49:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4eZpJo_60QQ.mp4/4eZpJo_60QQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4eZpJo_60QQ.mp4/4eZpJo_60QQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4eZpJo_60QQ.m3u8/4eZpJo_60QQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4eZpJo_60QQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd613715e", "sha": "9412bd268bc6a5e363d0b085adeda8012b07b1ad", "translated_description": "", "image_url": "https://img.youtube.com/vi/4eZpJo_60QQ/hqdefault.jpg", "youtube_id": "4eZpJo_60QQ", "content_kind": "Video", "readable_id": "aromatic stability of benzene"}, {"translated_youtube_id": "IaE632EzCxM", "relative_url": "/video/aromatic-heterocycles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aromatic-heterocycles", "duration": 709, "translated_title": "Aromatic heterocycles", "translated_description_html": "", "id": "xf8b0b315", "description_html": "", "title": "Aromatic heterocycles", "progress_key": "vxf8b0b315", "edit_slug": "edit/v/xf8b0b315", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/aromatic-heterocycles", "deleted": false, "backup_timestamp": "2013-11-14T19:49:26Z", "date_added": "2013-11-14T19:49:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IaE632EzCxM.mp4/IaE632EzCxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IaE632EzCxM.mp4/IaE632EzCxM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IaE632EzCxM.m3u8/IaE632EzCxM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IaE632EzCxM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf8b0b315", "sha": "2a5af01865d87dfa9b7f4799851fd1c35bf49073", "translated_description": "", "image_url": "https://img.youtube.com/vi/IaE632EzCxM/hqdefault.jpg", "youtube_id": "IaE632EzCxM", "content_kind": "Video", "readable_id": "aromatic-heterocycles"}], "twitter_url": "", "translated_description": "5D: Get a strong understanding of the nomenclature, properties, and reactions of alcohols and phenols, along with the criteria for determining aromaticity in benzene and aromatic heterocycles. By Jay.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5D: Get a strong understanding of the nomenclature, properties, and reactions of alcohols and phenols, along with the criteria for determining aromaticity in benzene and aromatic heterocycles. By Jay.", "x_pos": 0.0, "node_slug": "alcohols-and-phenols", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-14T19:49:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdad74afa", "topic_page_url": "/science/mcat/chemical-processes/alcohols-and-phenols", "extended_slug": "science/mcat/chemical-processes/alcohols-and-phenols", "slug": "alcohols-and-phenols", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "96bf136ce191cafcbb34f01777d6b3af9e309be8", "standalone_title": "alcohols and phenols", "y_pos": 0.0, "current_revision_key": "96bf136ce191cafcbb34f01777d6b3af9e309be8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/chemical-processes/proteins", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/chemical-processes/proteins", "translated_standalone_title": "Proteins", "translated_title": "Proteins", "gplus_url": "", "id": "x0dec96ad", "old_key_name": null, "hide": false, "title": "Proteins", "child_data": [{"kind": "Video", "id": "x65a0c725"}, {"kind": "Video", "id": "x66e29107"}, {"kind": "Video", "id": "xa5d86a39"}, {"kind": "Video", "id": "xcabbce1c"}, {"kind": "Video", "id": "xebba8bf7"}, {"kind": "Video", "id": "x903d5032"}, {"kind": "Video", "id": "xe819d5b4"}, {"kind": "Exercise", "id": "xc9fd0ffe"}, {"kind": "Exercise", "id": "x4e410dff"}], "children": [{"translated_youtube_id": "BbZB-WBVFSk", "relative_url": "/video/amino-acid-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/amino-acid-structure", "duration": 655, "translated_title": "Amino acid structure", "translated_description_html": "

What is the structure of an amino acid? Learn about it here. By Tracy Kovach. <\/span><\/p>\n", "id": "x65a0c725", "description_html": "

What is the structure of an amino acid? Learn about it here. By Tracy Kovach. <\/span><\/p>\n", "title": "Amino acid structure", "progress_key": "vx65a0c725", "edit_slug": "edit/v/x65a0c725", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "What is the structure of an amino acid? Learn about it here. By Tracy Kovach. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/amino-acid-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.mp4/BbZB-WBVFSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.mp4/BbZB-WBVFSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BbZB-WBVFSk.m3u8/BbZB-WBVFSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BbZB-WBVFSk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx65a0c725", "sha": "e44c673f1cd5dcc2137334017c23d0a5b925256e", "translated_description": "What is the structure of an amino acid? Learn about it here. By Tracy Kovach. \n", "image_url": "https://img.youtube.com/vi/BbZB-WBVFSk/hqdefault.jpg", "youtube_id": "BbZB-WBVFSk", "content_kind": "Video", "readable_id": "amino-acid-structure"}, {"translated_youtube_id": "T_mFhtBja5A", "relative_url": "/video/alpha-amino-acid-synthesis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alpha-amino-acid-synthesis", "duration": 324, "translated_title": "Alpha amino acid synthesis", "translated_description_html": "", "id": "x66e29107", "description_html": "", "title": "Alpha amino acid synthesis", "progress_key": "vx66e29107", "edit_slug": "edit/v/x66e29107", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/alpha-amino-acid-synthesis", "deleted": false, "backup_timestamp": "2013-10-21T21:30:50Z", "date_added": "2013-10-21T21:30:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T_mFhtBja5A.mp4/T_mFhtBja5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T_mFhtBja5A.mp4/T_mFhtBja5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T_mFhtBja5A.m3u8/T_mFhtBja5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T_mFhtBja5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx66e29107", "sha": "768791f54dc66dd7e27b82568692ee8b4679c894", "translated_description": "", "image_url": "https://img.youtube.com/vi/T_mFhtBja5A/hqdefault.jpg", "youtube_id": "T_mFhtBja5A", "content_kind": "Video", "readable_id": "alpha-amino-acid-synthesis"}, {"translated_youtube_id": "OPAvXQsPCqQ", "relative_url": "/video/classification-amino-acids", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classification-amino-acids", "duration": 366, "translated_title": "Classification of amino acids", "translated_description_html": "

Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.<\/p>\n", "id": "xa5d86a39", "description_html": "

Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.<\/p>\n", "title": "Classification of amino acids", "progress_key": "vxa5d86a39", "edit_slug": "edit/v/xa5d86a39", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/classification-amino-acids", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.mp4/OPAvXQsPCqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.mp4/OPAvXQsPCqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OPAvXQsPCqQ.m3u8/OPAvXQsPCqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OPAvXQsPCqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5d86a39", "sha": "3040b274e8a59e19f4d2b9e31b8213eafedecacc", "translated_description": "Learn about how amino acids can be classified according to their side chain's chemical properties.  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/OPAvXQsPCqQ/hqdefault.jpg", "youtube_id": "OPAvXQsPCqQ", "content_kind": "Video", "readable_id": "classification-amino-acids"}, {"translated_youtube_id": "pmQuNRHJMw4", "relative_url": "/video/peptide-bond-formation-and-cleavage", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/peptide-bond-formation-and-cleavage", "duration": 431, "translated_title": "Peptide bonds: Formation and cleavage", "translated_description_html": "

How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.<\/p>\n", "id": "xcabbce1c", "description_html": "

How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.<\/p>\n", "title": "Peptide bonds: Formation and cleavage", "progress_key": "vxcabbce1c", "edit_slug": "edit/v/xcabbce1c", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/peptide-bond-formation-and-cleavage", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.mp4/pmQuNRHJMw4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.mp4/pmQuNRHJMw4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pmQuNRHJMw4.m3u8/pmQuNRHJMw4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pmQuNRHJMw4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcabbce1c", "sha": "7561a6e5cc88561f4bc83a19cbac6d1e0a9819e8", "translated_description": "How is the peptide bond formed and how can it be cleaved?  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/pmQuNRHJMw4/hqdefault.jpg", "youtube_id": "pmQuNRHJMw4", "content_kind": "Video", "readable_id": "peptide-bond-formation-and-cleavage"}, {"translated_youtube_id": "O5gN-IK6uKs", "relative_url": "/video/four-levels-of-protein-structure", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/four-levels-of-protein-structure", "duration": 529, "translated_title": "Four levels of protein structure", "translated_description_html": "

Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.<\/p>\n", "id": "xebba8bf7", "description_html": "

Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.<\/p>\n", "title": "Four levels of protein structure", "progress_key": "vxebba8bf7", "edit_slug": "edit/v/xebba8bf7", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/four-levels-of-protein-structure", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.mp4/O5gN-IK6uKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.mp4/O5gN-IK6uKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O5gN-IK6uKs.m3u8/O5gN-IK6uKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O5gN-IK6uKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxebba8bf7", "sha": "aefdbac0cffaf0b3a82856d8e7f76c310b84e32d", "translated_description": "Learn about the different levels of protein structure - primary, secondary, tertiary, and quaternary.  By Tracy Kovach.\n", "image_url": "https://img.youtube.com/vi/O5gN-IK6uKs/hqdefault.jpg", "youtube_id": "O5gN-IK6uKs", "content_kind": "Video", "readable_id": "four-levels-of-protein-structure"}, {"translated_youtube_id": "gXa6JIv5WlQ", "relative_url": "/video/conformational-stability--protein-folding-and-denaturation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conformational-stability--protein-folding-and-denaturation", "duration": 464, "translated_title": "Conformational stability: Protein folding and denaturation", "translated_description_html": "", "id": "x903d5032", "description_html": "", "title": "Conformational stability: Protein folding and denaturation", "progress_key": "vx903d5032", "edit_slug": "edit/v/x903d5032", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/conformational-stability--protein-folding-and-denaturation", "deleted": false, "backup_timestamp": "2013-10-21T21:30:51Z", "date_added": "2013-10-21T21:30:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gXa6JIv5WlQ.mp4/gXa6JIv5WlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gXa6JIv5WlQ.mp4/gXa6JIv5WlQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gXa6JIv5WlQ.m3u8/gXa6JIv5WlQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gXa6JIv5WlQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx903d5032", "sha": "0afc6b06fae1262ea133cf2ccbc282a64491a968", "translated_description": "", "image_url": "https://img.youtube.com/vi/gXa6JIv5WlQ/hqdefault.jpg", "youtube_id": "gXa6JIv5WlQ", "content_kind": "Video", "readable_id": "conformational-stability--protein-folding-and-denaturation"}, {"translated_youtube_id": "eVmLvbB6L18", "relative_url": "/video/non-enzymatic-protein-function", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/non-enzymatic-protein-function", "duration": 644, "translated_title": "Non-enzymatic protein function", "translated_description_html": "", "id": "xe819d5b4", "description_html": "", "title": "Non-enzymatic protein function", "progress_key": "vxe819d5b4", "edit_slug": "edit/v/xe819d5b4", "author_names": ["Tracy Kim Kovach"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/non-enzymatic-protein-function", "deleted": false, "backup_timestamp": "2013-10-21T21:30:50Z", "date_added": "2013-10-21T21:30:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eVmLvbB6L18.mp4/eVmLvbB6L18.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eVmLvbB6L18.mp4/eVmLvbB6L18.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eVmLvbB6L18.m3u8/eVmLvbB6L18.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eVmLvbB6L18&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe819d5b4", "sha": "87c9ae04d3814f8c9eb08003146ac86847fbc467", "translated_description": "", "image_url": "https://img.youtube.com/vi/eVmLvbB6L18/hqdefault.jpg", "youtube_id": "eVmLvbB6L18", "content_kind": "Video", "readable_id": "non-enzymatic-protein-function"}], "twitter_url": "", "translated_description": "5D: What are amino acids? How do they come together to form proteins? Learn about how amino acids synthesized, and then how they come together to form proteins. Discover how proteins are structured and what functions they perform on the cellular level. By Tracy Kim Kovach.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "5D: What are amino acids? How do they come together to form proteins? Learn about how amino acids synthesized, and then how they come together to form proteins. Discover how proteins are structured and what functions they perform on the cellular level. By Tracy Kim Kovach.", "x_pos": 0.0, "node_slug": "proteins", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-21T21:30:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0dec96ad", "topic_page_url": "/science/mcat/chemical-processes/proteins", "extended_slug": "science/mcat/chemical-processes/proteins", "slug": "proteins", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e4349d8948d87a94a7243a6cf896b6ec440e8221", "standalone_title": "Proteins", "y_pos": 0.0, "current_revision_key": "e4349d8948d87a94a7243a6cf896b6ec440e8221", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 5: The principles that govern chemical interactions and reactions form the basis for a broader understanding of the molecular dynamics of living systems.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 5: The principles that govern chemical interactions and reactions form the basis for a broader understanding of the molecular dynamics of living systems.", "x_pos": 0.0, "node_slug": "chemical-processes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0054fc82", "topic_page_url": "/science/mcat/chemical-processes", "extended_slug": "science/mcat/chemical-processes", "slug": "chemical-processes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1d2d6f9a3493e933884cc7df892a81abc2dcd50d", "standalone_title": "Chemical processes", "y_pos": 0.0, "current_revision_key": "1d2d6f9a3493e933884cc7df892a81abc2dcd50d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/processing-the-environment", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/processing-the-environment", "translated_standalone_title": "Processing the environment", "translated_title": "Processing the environment", "gplus_url": "", "id": "x0ec6ab0d", "old_key_name": null, "hide": false, "title": "Processing the environment", "child_data": [{"kind": "Topic", "id": "x5ba0c972"}, {"kind": "Topic", "id": "xdfac923f"}, {"kind": "Topic", "id": "xd1b1603d"}, {"kind": "Topic", "id": "x85fa5325"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/processing-the-environment/sight", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/processing-the-environment/sight", "translated_standalone_title": "Sight (vision)", "translated_title": "Sight (vision)", "gplus_url": "", "id": "x5ba0c972", "old_key_name": null, "hide": false, "title": "Sight (vision)", "child_data": [{"kind": "Video", "id": "x59ee3a84"}, {"kind": "Video", "id": "x9ad8d29e"}, {"kind": "Video", "id": "x37026cd3"}, {"kind": "Video", "id": "x0e9ec663"}, {"kind": "Video", "id": "x198511a9"}, {"kind": "Video", "id": "x9cf82bf8"}, {"kind": "Video", "id": "xf27124b4"}, {"kind": "Exercise", "id": "xcb03ccde"}, {"kind": "Exercise", "id": "xdcf23b80"}], "children": [{"translated_youtube_id": "cTZl2qnzifc", "relative_url": "/video/vision-structure-of-the-eye", "has_questions": false, "keywords": "vision, eye, structure", "ka_url": "http://www.khanacademy.org/video/vision-structure-of-the-eye", "duration": 628, "translated_title": "The structure of the eye", "translated_description_html": "

In this video, I review the structure of the eye. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x59ee3a84", "description_html": "

In this video, I review the structure of the eye. By Ronald Sahyouni. <\/span><\/p>\n", "title": "The structure of the eye", "progress_key": "vx59ee3a84", "edit_slug": "edit/v/x59ee3a84", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I review the structure of the eye. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/vision-structure-of-the-eye", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cTZl2qnzifc.mp4/cTZl2qnzifc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cTZl2qnzifc.mp4/cTZl2qnzifc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cTZl2qnzifc.m3u8/cTZl2qnzifc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cTZl2qnzifc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx59ee3a84", "sha": "7119b73f94fc02d490023d65f9461b4dcc67000c", "translated_description": "In this video, I review the structure of the eye. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/cTZl2qnzifc/hqdefault.jpg", "youtube_id": "cTZl2qnzifc", "content_kind": "Video", "readable_id": "vision-structure-of-the-eye"}, {"translated_youtube_id": "3m-464MqBJY", "relative_url": "/video/vision-summary", "has_questions": false, "keywords": "vision", "ka_url": "http://www.khanacademy.org/video/vision-summary", "duration": 482, "translated_title": "Visual sensory information", "translated_description_html": "

In this video, I explore our sense of vision. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x9ad8d29e", "description_html": "

In this video, I explore our sense of vision. By Ronald Sahyouni. <\/span><\/p>\n", "title": "Visual sensory information", "progress_key": "vx9ad8d29e", "edit_slug": "edit/v/x9ad8d29e", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I explore our sense of vision. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/vision-summary", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3m-464MqBJY.mp4/3m-464MqBJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3m-464MqBJY.mp4/3m-464MqBJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3m-464MqBJY.m3u8/3m-464MqBJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3m-464MqBJY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ad8d29e", "sha": "f54afad04b9060ccf2c5cd44e13dafc11573a88c", "translated_description": "In this video, I explore our sense of vision. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/3m-464MqBJY/hqdefault.jpg", "youtube_id": "3m-464MqBJY", "content_kind": "Video", "readable_id": "vision-summary"}, {"translated_youtube_id": "CqN-XIPhMpo", "relative_url": "/video/phototransduction-cascade", "has_questions": false, "keywords": "phototransduction cascade", "ka_url": "http://www.khanacademy.org/video/phototransduction-cascade", "duration": 596, "translated_title": "The phototransduction cascade", "translated_description_html": "

This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x37026cd3", "description_html": "

This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. <\/span><\/p>\n", "title": "The phototransduction cascade", "progress_key": "vx37026cd3", "edit_slug": "edit/v/x37026cd3", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/phototransduction-cascade", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CqN-XIPhMpo.mp4/CqN-XIPhMpo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CqN-XIPhMpo.mp4/CqN-XIPhMpo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CqN-XIPhMpo.m3u8/CqN-XIPhMpo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CqN-XIPhMpo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx37026cd3", "sha": "bdfcd1176257d963a58b218e251af3c3a6bd2aa2", "translated_description": "This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/CqN-XIPhMpo/hqdefault.jpg", "youtube_id": "CqN-XIPhMpo", "content_kind": "Video", "readable_id": "phototransduction-cascade"}, {"translated_youtube_id": "_ElAuQyw4uA", "relative_url": "/video/photoreceptors-rods-cones", "has_questions": false, "keywords": "photoreceptors, rods, cones, vision", "ka_url": "http://www.khanacademy.org/video/photoreceptors-rods-cones", "duration": 306, "translated_title": "Photoreceptors (rods vs cones)", "translated_description_html": "

In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x0e9ec663", "description_html": "

In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. <\/span><\/p>\n", "title": "Photoreceptors (rods vs cones)", "progress_key": "vx0e9ec663", "edit_slug": "edit/v/x0e9ec663", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/photoreceptors-rods-cones", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ElAuQyw4uA.mp4/_ElAuQyw4uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ElAuQyw4uA.mp4/_ElAuQyw4uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ElAuQyw4uA.m3u8/_ElAuQyw4uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ElAuQyw4uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0e9ec663", "sha": "907ff3ad7149ef74cebd86602b2d06e3dbc60564", "translated_description": "In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/_ElAuQyw4uA/hqdefault.jpg", "youtube_id": "_ElAuQyw4uA", "content_kind": "Video", "readable_id": "photoreceptors-rods-cones"}, {"translated_youtube_id": "UXIfzc1UH-g", "relative_url": "/video/photoreceptor-distribution-fovea", "has_questions": false, "keywords": "vision, photoreceptor, fovea", "ka_url": "http://www.khanacademy.org/video/photoreceptor-distribution-fovea", "duration": 343, "translated_title": "Photoreceptor distribution in the fovea", "translated_description_html": "

In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x198511a9", "description_html": "

In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. <\/span><\/p>\n", "title": "Photoreceptor distribution in the fovea", "progress_key": "vx198511a9", "edit_slug": "edit/v/x198511a9", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/photoreceptor-distribution-fovea", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UXIfzc1UH-g.mp4/UXIfzc1UH-g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UXIfzc1UH-g.mp4/UXIfzc1UH-g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UXIfzc1UH-g.m3u8/UXIfzc1UH-g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UXIfzc1UH-g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx198511a9", "sha": "c61595471f61fb827d75bb676b7115e06d180806", "translated_description": "In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/UXIfzc1UH-g/hqdefault.jpg", "youtube_id": "UXIfzc1UH-g", "content_kind": "Video", "readable_id": "photoreceptor-distribution-fovea"}, {"translated_youtube_id": "aobWzlXIooQ", "relative_url": "/video/visual-field-processing", "has_questions": false, "keywords": "vision, visual field", "ka_url": "http://www.khanacademy.org/video/visual-field-processing", "duration": 250, "translated_title": "Visual field processing", "translated_description_html": "

In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. <\/span><\/p>\n", "id": "x9cf82bf8", "description_html": "

In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. <\/span><\/p>\n", "title": "Visual field processing", "progress_key": "vx9cf82bf8", "edit_slug": "edit/v/x9cf82bf8", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/visual-field-processing", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aobWzlXIooQ.mp4/aobWzlXIooQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aobWzlXIooQ.mp4/aobWzlXIooQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aobWzlXIooQ.m3u8/aobWzlXIooQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aobWzlXIooQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9cf82bf8", "sha": "9211ca810736d340bcdc81aa678de3bd1416e359", "translated_description": "In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. \n", "image_url": "https://img.youtube.com/vi/aobWzlXIooQ/hqdefault.jpg", "youtube_id": "aobWzlXIooQ", "content_kind": "Video", "readable_id": "visual-field-processing"}, {"translated_youtube_id": "0ugcw7wOZBg", "relative_url": "/video/feature-detection-and-parallel-processing", "has_questions": false, "keywords": "vision, feature detection, parallel processing", "ka_url": "http://www.khanacademy.org/video/feature-detection-and-parallel-processing", "duration": 429, "translated_title": "Feature detection and parallel processing", "translated_description_html": "

In this video, I review our ability to break down an image into its component "features" such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.  By Ronald Sahyouni.<\/p>\n", "id": "xf27124b4", "description_html": "

In this video, I review our ability to break down an image into its component "features" such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.  By Ronald Sahyouni.<\/p>\n", "title": "Feature detection and parallel processing", "progress_key": "vxf27124b4", "edit_slug": "edit/v/xf27124b4", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I review our ability to break down an image into its component \"features\" such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.  By Ronald Sahyouni.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/feature-detection-and-parallel-processing", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0ugcw7wOZBg.mp4/0ugcw7wOZBg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0ugcw7wOZBg.mp4/0ugcw7wOZBg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0ugcw7wOZBg.m3u8/0ugcw7wOZBg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0ugcw7wOZBg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf27124b4", "sha": "d9d1e5c3aac2ec739b08bfbc4abed9b10f18a591", "translated_description": "In this video, I review our ability to break down an image into its component \"features\" such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.  By Ronald Sahyouni.\n", "image_url": "https://img.youtube.com/vi/0ugcw7wOZBg/hqdefault.jpg", "youtube_id": "0ugcw7wOZBg", "content_kind": "Video", "readable_id": "feature-detection-and-parallel-processing"}], "twitter_url": "", "translated_description": "6A: Photons are hitting your eye as you read this! Learn about our sense of sight, including the cells responsible for converting light into a neural impulse, the structure of the eye, and how we break down images to make sense of them. By Ronald Sahyouni.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "6A: Photons are hitting your eye as you read this! Learn about our sense of sight, including the cells responsible for converting light into a neural impulse, the structure of the eye, and how we break down images to make sense of them. By Ronald Sahyouni.", "x_pos": 0.0, "node_slug": "sight", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ba0c972", "topic_page_url": "/science/mcat/processing-the-environment/sight", "extended_slug": "science/mcat/processing-the-environment/sight", "slug": "sight", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bbde8e07677819c66d6be695615e292bc85d941b", "standalone_title": "Sight (vision)", "y_pos": 0.0, "current_revision_key": "bbde8e07677819c66d6be695615e292bc85d941b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/processing-the-environment/somatosensation", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/processing-the-environment/somatosensation", "translated_standalone_title": "Somatosensation", "translated_title": "Somatosensation", "gplus_url": "", "id": "xdfac923f", "old_key_name": null, "hide": false, "title": "Somatosensation", "child_data": [{"kind": "Video", "id": "xe595adb5"}, {"kind": "Video", "id": "x74c4a46e"}, {"kind": "Video", "id": "x7aa5781a"}, {"kind": "Video", "id": "x450f7a79"}, {"kind": "Video", "id": "x7f17449b"}, {"kind": "Exercise", "id": "xe47a3693"}, {"kind": "Exercise", "id": "xc4328f04"}], "children": [{"translated_youtube_id": "x_HbDCaN9ZM", "relative_url": "/video/somatosensation-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/somatosensation-1", "duration": 464, "translated_title": "Somatosensation", "translated_description_html": "", "id": "xe595adb5", "description_html": "", "title": "Somatosensation", "progress_key": "vxe595adb5", "edit_slug": "edit/v/xe595adb5", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/somatosensation-1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x_HbDCaN9ZM.mp4/x_HbDCaN9ZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x_HbDCaN9ZM.mp4/x_HbDCaN9ZM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x_HbDCaN9ZM.m3u8/x_HbDCaN9ZM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x_HbDCaN9ZM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe595adb5", "sha": "f5c9b555e7c2e9636c046215b043b373102626be", "translated_description": "", "image_url": "https://img.youtube.com/vi/x_HbDCaN9ZM/hqdefault.jpg", "youtube_id": "x_HbDCaN9ZM", "content_kind": "Video", "readable_id": "somatosensation-1"}, {"translated_youtube_id": "JC_TVyAMYE0", "relative_url": "/video/sensory-adaptation-and-amplification", "has_questions": false, "keywords": "sensory adaptation, amplification", "ka_url": "http://www.khanacademy.org/video/sensory-adaptation-and-amplification", "duration": 245, "translated_title": "Sensory adaptation and amplification", "translated_description_html": "

Sensory adaptation and amplification are discussed in this video to differentiate the two.  By Ronald Sahyouni.<\/p>\n", "id": "x74c4a46e", "description_html": "

Sensory adaptation and amplification are discussed in this video to differentiate the two.  By Ronald Sahyouni.<\/p>\n", "title": "Sensory adaptation and amplification", "progress_key": "vx74c4a46e", "edit_slug": "edit/v/x74c4a46e", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "Sensory adaptation and amplification are discussed in this video to differentiate the two.  By Ronald Sahyouni.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/sensory-adaptation-and-amplification", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JC_TVyAMYE0.mp4/JC_TVyAMYE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JC_TVyAMYE0.mp4/JC_TVyAMYE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JC_TVyAMYE0.m3u8/JC_TVyAMYE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JC_TVyAMYE0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx74c4a46e", "sha": "50ebff81afabe5080ac5b3a0935c5606974a961b", "translated_description": "Sensory adaptation and amplification are discussed in this video to differentiate the two.  By Ronald Sahyouni.\n", "image_url": "https://img.youtube.com/vi/JC_TVyAMYE0/hqdefault.jpg", "youtube_id": "JC_TVyAMYE0", "content_kind": "Video", "readable_id": "sensory-adaptation-and-amplification"}, {"translated_youtube_id": "3jf2l9ma6SM", "relative_url": "/video/somatosensory-homunculus", "has_questions": false, "keywords": "somatosensory, homunculus", "ka_url": "http://www.khanacademy.org/video/somatosensory-homunculus", "duration": 315, "translated_title": "Somatosensory homunculus", "translated_description_html": "

In this video, I review the somatosensory homunculus, which is basically a "topological" representation of the body in the brain.  By Ronald Sahyouni.<\/p>\n", "id": "x7aa5781a", "description_html": "

In this video, I review the somatosensory homunculus, which is basically a "topological" representation of the body in the brain.  By Ronald Sahyouni.<\/p>\n", "title": "Somatosensory homunculus", "progress_key": "vx7aa5781a", "edit_slug": "edit/v/x7aa5781a", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "In this video, I review the somatosensory homunculus, which is basically a \"topological\" representation of the body in the brain.  By Ronald Sahyouni.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/somatosensory-homunculus", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3jf2l9ma6SM.mp4/3jf2l9ma6SM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3jf2l9ma6SM.mp4/3jf2l9ma6SM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3jf2l9ma6SM.m3u8/3jf2l9ma6SM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3jf2l9ma6SM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7aa5781a", "sha": "48cec7b66126f7eb4c709ff70f5d21f551bf0aa9", "translated_description": "In this video, I review the somatosensory homunculus, which is basically a \"topological\" representation of the body in the brain.  By Ronald Sahyouni.\n", "image_url": "https://img.youtube.com/vi/3jf2l9ma6SM/hqdefault.jpg", "youtube_id": "3jf2l9ma6SM", "content_kind": "Video", "readable_id": "somatosensory-homunculus"}, {"translated_youtube_id": "yKfpBGicqNQ", "relative_url": "/video/proprioception-kinesthesia", "has_questions": false, "keywords": "proprioception, kinesthesia", "ka_url": "http://www.khanacademy.org/video/proprioception-kinesthesia", "duration": 318, "translated_title": "Proprioception and kinesthesia", "translated_description_html": "

The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.  By Ronald Sahyouni.<\/p>\n", "id": "x450f7a79", "description_html": "

The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.  By Ronald Sahyouni.<\/p>\n", "title": "Proprioception and kinesthesia", "progress_key": "vx450f7a79", "edit_slug": "edit/v/x450f7a79", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.  By Ronald Sahyouni.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/proprioception-kinesthesia", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yKfpBGicqNQ.mp4/yKfpBGicqNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yKfpBGicqNQ.mp4/yKfpBGicqNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yKfpBGicqNQ.m3u8/yKfpBGicqNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yKfpBGicqNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx450f7a79", "sha": "792b786e49665a9f1d8fdd3c93d53c1c9514b630", "translated_description": "The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.  By Ronald Sahyouni.\n", "image_url": "https://img.youtube.com/vi/yKfpBGicqNQ/hqdefault.jpg", "youtube_id": "yKfpBGicqNQ", "content_kind": "Video", "readable_id": "proprioception-kinesthesia"}, {"translated_youtube_id": "D-oAsFIHqbY", "relative_url": "/video/pain-and-temperature-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pain-and-temperature-1", "duration": 360, "translated_title": "Pain and temperature", "translated_description_html": "", "id": "x7f17449b", "description_html": "", "title": "Pain and temperature", "progress_key": "vx7f17449b", "edit_slug": "edit/v/x7f17449b", "author_names": ["Ronald Sahyouni"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/pain-and-temperature-1", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D-oAsFIHqbY.mp4/D-oAsFIHqbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D-oAsFIHqbY.mp4/D-oAsFIHqbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D-oAsFIHqbY.m3u8/D-oAsFIHqbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D-oAsFIHqbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f17449b", "sha": "aaae49ba6c1aba58725acb631b976d8a953ea211", "translated_description": "", "image_url": "https://img.youtube.com/vi/D-oAsFIHqbY/hqdefault.jpg", "youtube_id": "D-oAsFIHqbY", "content_kind": "Video", "readable_id": "pain-and-temperature-1"}], "twitter_url": "", "translated_description": "6A: We perceive the environment through our bodily senses, including our sensation of pain, temperature, pressure, balance, and movement. Discover how our body gathers this information and processes it so that we can make sense of the world. By Ronald Sahyouni.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "6A: We perceive the environment through our bodily senses, including our sensation of pain, temperature, pressure, balance, and movement. Discover how our body gathers this information and processes it so that we can make sense of the world. By Ronald Sahyouni.", "x_pos": 0.0, "node_slug": "somatosensation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdfac923f", "topic_page_url": "/science/mcat/processing-the-environment/somatosensation", "extended_slug": "science/mcat/processing-the-environment/somatosensation", "slug": "somatosensation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8b43575f1a98226bd2b210c950bf34eceb8120c0", "standalone_title": "Somatosensation", "y_pos": 0.0, "current_revision_key": "8b43575f1a98226bd2b210c950bf34eceb8120c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/processing-the-environment/attention-language", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/processing-the-environment/attention-language", "translated_standalone_title": "Attention and language", "translated_title": "Attention and language", "gplus_url": "", "id": "xd1b1603d", "old_key_name": null, "hide": false, "title": "Attention and language", "child_data": [{"kind": "Video", "id": "x1d7ed338"}, {"kind": "Video", "id": "xa5af5a83"}, {"kind": "Video", "id": "xb62bacac"}, {"kind": "Video", "id": "xf3411dc4"}, {"kind": "Video", "id": "x1a9c4ab5"}, {"kind": "Exercise", "id": "x7d5c1ebf"}, {"kind": "Exercise", "id": "xfbb75a1c"}], "children": [{"translated_youtube_id": "s4JBqLoY3tY", "relative_url": "/video/divided-selective-attention-inattentional-change-blindness", "has_questions": false, "keywords": "attention, selective attention, blindness", "ka_url": "http://www.khanacademy.org/video/divided-selective-attention-inattentional-change-blindness", "duration": 402, "translated_title": "Divided attention, selective attention, inattentional blindness, & change blindness", "translated_description_html": "

Learn about divided attention, selective attention, inattentional blindness, & change blindness. By Carole Yue. <\/span><\/p>\n", "id": "x1d7ed338", "description_html": "

Learn about divided attention, selective attention, inattentional blindness, & change blindness. By Carole Yue. <\/span><\/p>\n", "title": "Divided attention, selective attention, inattentional blindness, & change blindness", "progress_key": "vx1d7ed338", "edit_slug": "edit/v/x1d7ed338", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "Learn about divided attention, selective attention, inattentional blindness, & change blindness. By Carole Yue. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/divided-selective-attention-inattentional-change-blindness", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s4JBqLoY3tY.mp4/s4JBqLoY3tY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s4JBqLoY3tY.mp4/s4JBqLoY3tY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s4JBqLoY3tY.m3u8/s4JBqLoY3tY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s4JBqLoY3tY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d7ed338", "sha": "a5c36ec66e57924713cab638e403c4cc5a5b66b4", "translated_description": "Learn about divided attention, selective attention, inattentional blindness, & change blindness. By Carole Yue. \n", "image_url": "https://img.youtube.com/vi/s4JBqLoY3tY/hqdefault.jpg", "youtube_id": "s4JBqLoY3tY", "content_kind": "Video", "readable_id": "divided-selective-attention-inattentional-change-blindness"}, {"translated_youtube_id": "qpsaHE_uZic", "relative_url": "/video/selective-attention", "has_questions": false, "keywords": "selective attention", "ka_url": "http://www.khanacademy.org/video/selective-attention", "duration": 301, "translated_title": "Theories of selective attention", "translated_description_html": "

Learn about the three major theories of selective attention. By Carole Yue. <\/span><\/p>\n", "id": "xa5af5a83", "description_html": "

Learn about the three major theories of selective attention. By Carole Yue. <\/span><\/p>\n", "title": "Theories of selective attention", "progress_key": "vxa5af5a83", "edit_slug": "edit/v/xa5af5a83", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "Learn about the three major theories of selective attention. By Carole Yue. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/selective-attention", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qpsaHE_uZic.mp4/qpsaHE_uZic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qpsaHE_uZic.mp4/qpsaHE_uZic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qpsaHE_uZic.m3u8/qpsaHE_uZic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qpsaHE_uZic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5af5a83", "sha": "d55f0ff2e15da7d4f629d315245abc37fa5c7e69", "translated_description": "Learn about the three major theories of selective attention. By Carole Yue. \n", "image_url": "https://img.youtube.com/vi/qpsaHE_uZic/hqdefault.jpg", "youtube_id": "qpsaHE_uZic", "content_kind": "Video", "readable_id": "selective-attention"}, {"translated_youtube_id": "RgvmKfvCwps", "relative_url": "/video/language-and-cognition", "has_questions": false, "keywords": "language, cognition", "ka_url": "http://www.khanacademy.org/video/language-and-cognition", "duration": 307, "translated_title": "Theories of language and cognition", "translated_description_html": "

Learn about theories of the relationship between language and cognition. By Carole Yue. <\/span><\/p>\n", "id": "xb62bacac", "description_html": "

Learn about theories of the relationship between language and cognition. By Carole Yue. <\/span><\/p>\n", "title": "Theories of language and cognition", "progress_key": "vxb62bacac", "edit_slug": "edit/v/xb62bacac", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "Learn about theories of the relationship between language and cognition. By Carole Yue. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/language-and-cognition", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RgvmKfvCwps.mp4/RgvmKfvCwps.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RgvmKfvCwps.mp4/RgvmKfvCwps.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RgvmKfvCwps.m3u8/RgvmKfvCwps.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RgvmKfvCwps&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb62bacac", "sha": "558104308e9ce20930930d42613d100cb2e0dd70", "translated_description": "Learn about theories of the relationship between language and cognition. By Carole Yue. \n", "image_url": "https://img.youtube.com/vi/RgvmKfvCwps/hqdefault.jpg", "youtube_id": "RgvmKfvCwps", "content_kind": "Video", "readable_id": "language-and-cognition"}, {"translated_youtube_id": "RRGwdfQV8kU", "relative_url": "/video/theories-of-language-development", "has_questions": false, "keywords": "language, nativist, learning, interactionist", "ka_url": "http://www.khanacademy.org/video/theories-of-language-development", "duration": 241, "translated_title": "Theories of language development: Nativist, learning, interactionist", "translated_description_html": "

Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. <\/span><\/p>\n", "id": "xf3411dc4", "description_html": "

Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. <\/span><\/p>\n", "title": "Theories of language development: Nativist, learning, interactionist", "progress_key": "vxf3411dc4", "edit_slug": "edit/v/xf3411dc4", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/theories-of-language-development", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RRGwdfQV8kU.mp4/RRGwdfQV8kU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RRGwdfQV8kU.mp4/RRGwdfQV8kU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RRGwdfQV8kU.m3u8/RRGwdfQV8kU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RRGwdfQV8kU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf3411dc4", "sha": "90a2c8f9f0e0011d1d5fa75853e2d9b3b7966f7f", "translated_description": "Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. \n", "image_url": "https://img.youtube.com/vi/RRGwdfQV8kU/hqdefault.jpg", "youtube_id": "RRGwdfQV8kU", "content_kind": "Video", "readable_id": "theories-of-language-development"}, {"translated_youtube_id": "lBqShvm4QRA", "relative_url": "/video/language-and-the-brain", "has_questions": false, "keywords": "language, brain, aphasia, split-brain", "ka_url": "http://www.khanacademy.org/video/language-and-the-brain", "duration": 371, "translated_title": "Language and the brain: Aphasia and split-brain patients", "translated_description_html": "

Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. <\/span><\/p>\n", "id": "x1a9c4ab5", "description_html": "

Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. <\/span><\/p>\n", "title": "Language and the brain: Aphasia and split-brain patients", "progress_key": "vx1a9c4ab5", "edit_slug": "edit/v/x1a9c4ab5", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/language-and-the-brain", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBqShvm4QRA.mp4/lBqShvm4QRA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lBqShvm4QRA.mp4/lBqShvm4QRA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBqShvm4QRA.m3u8/lBqShvm4QRA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lBqShvm4QRA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a9c4ab5", "sha": "28f7fd01622320110981ecda645c274cd7d3ed99", "translated_description": "Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. \n", "image_url": "https://img.youtube.com/vi/lBqShvm4QRA/hqdefault.jpg", "youtube_id": "lBqShvm4QRA", "content_kind": "Video", "readable_id": "language-and-the-brain"}], "twitter_url": "", "translated_description": "6B: Have you ever tried to multi-task? Explore the concept of selective and divided attention, as well as the role of language in cognition and development. By Carole Yue.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "6B: Have you ever tried to multi-task? Explore the concept of selective and divided attention, as well as the role of language in cognition and development. By Carole Yue.", "x_pos": 0.0, "node_slug": "attention-language", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd1b1603d", "topic_page_url": "/science/mcat/processing-the-environment/attention-language", "extended_slug": "science/mcat/processing-the-environment/attention-language", "slug": "attention-language", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "122588ab4ff62a65e2e9662c6a0f19c34eab331a", "standalone_title": "Attention and language", "y_pos": 0.0, "current_revision_key": "122588ab4ff62a65e2e9662c6a0f19c34eab331a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/processing-the-environment/memory", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/processing-the-environment/memory", "translated_standalone_title": "Memory", "translated_title": "Memory", "gplus_url": "", "id": "x85fa5325", "old_key_name": null, "hide": false, "title": "Memory", "child_data": [{"kind": "Video", "id": "x52d1966e"}, {"kind": "Video", "id": "x2f413e05"}, {"kind": "Video", "id": "xf38bb3ef"}, {"kind": "Video", "id": "x3d533add"}, {"kind": "Video", "id": "xffdb9be4"}, {"kind": "Video", "id": "x3a871e46"}, {"kind": "Video", "id": "x38b33f79"}, {"kind": "Video", "id": "x6fb13071"}, {"kind": "Video", "id": "x3dac9945"}, {"kind": "Exercise", "id": "xc270f8d3"}, {"kind": "Exercise", "id": "x2b4d76ff"}], "children": [{"translated_youtube_id": "pMMRE4Q2FGk", "relative_url": "/video/information-processing-model--sensory--working--and-long-term-memory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/information-processing-model--sensory--working--and-long-term-memory", "duration": 454, "translated_title": "Information processing model: Sensory, working, and long term memory", "translated_description_html": "", "id": "x52d1966e", "description_html": "", "title": "Information processing model: Sensory, working, and long term memory", "progress_key": "vx52d1966e", "edit_slug": "edit/v/x52d1966e", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/information-processing-model--sensory--working--and-long-term-memory", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pMMRE4Q2FGk.mp4/pMMRE4Q2FGk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pMMRE4Q2FGk.mp4/pMMRE4Q2FGk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pMMRE4Q2FGk.m3u8/pMMRE4Q2FGk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pMMRE4Q2FGk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx52d1966e", "sha": "ad088e9d775f11c2e21c8f48461b063b784d31c7", "translated_description": "", "image_url": "https://img.youtube.com/vi/pMMRE4Q2FGk/hqdefault.jpg", "youtube_id": "pMMRE4Q2FGk", "content_kind": "Video", "readable_id": "information-processing-model--sensory--working--and-long-term-memory"}, {"translated_youtube_id": "mlrOJgyPySw", "relative_url": "/video/encoding-strategies", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/encoding-strategies", "duration": 519, "translated_title": "Encoding strategies", "translated_description_html": "", "id": "x2f413e05", "description_html": "", "title": "Encoding strategies", "progress_key": "vx2f413e05", "edit_slug": "edit/v/x2f413e05", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/encoding-strategies", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mlrOJgyPySw.mp4/mlrOJgyPySw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mlrOJgyPySw.mp4/mlrOJgyPySw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mlrOJgyPySw.m3u8/mlrOJgyPySw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mlrOJgyPySw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2f413e05", "sha": "11c36129ffccfe055201a1172b79d42db0cb84e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/mlrOJgyPySw/hqdefault.jpg", "youtube_id": "mlrOJgyPySw", "content_kind": "Video", "readable_id": "encoding-strategies"}, {"translated_youtube_id": "aUmApJMfUTc", "relative_url": "/video/retrieval-cues", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/retrieval-cues", "duration": 278, "translated_title": "Retrieval cues", "translated_description_html": "", "id": "xf38bb3ef", "description_html": "", "title": "Retrieval cues", "progress_key": "vxf38bb3ef", "edit_slug": "edit/v/xf38bb3ef", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/retrieval-cues", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aUmApJMfUTc.mp4/aUmApJMfUTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aUmApJMfUTc.mp4/aUmApJMfUTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aUmApJMfUTc.m3u8/aUmApJMfUTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aUmApJMfUTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf38bb3ef", "sha": "f84b1f069ded44bfbad77b839fdb330625288314", "translated_description": "", "image_url": "https://img.youtube.com/vi/aUmApJMfUTc/hqdefault.jpg", "youtube_id": "aUmApJMfUTc", "content_kind": "Video", "readable_id": "retrieval-cues"}, {"translated_youtube_id": "Uhyk2bRTguI", "relative_url": "/video/retrieval--free-recall--cued-recall--and-recognition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/retrieval--free-recall--cued-recall--and-recognition", "duration": 265, "translated_title": "Retrieval: Free recall, cued recall, and recognition", "translated_description_html": "", "id": "x3d533add", "description_html": "", "title": "Retrieval: Free recall, cued recall, and recognition", "progress_key": "vx3d533add", "edit_slug": "edit/v/x3d533add", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/retrieval--free-recall--cued-recall--and-recognition", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uhyk2bRTguI.mp4/Uhyk2bRTguI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uhyk2bRTguI.mp4/Uhyk2bRTguI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uhyk2bRTguI.m3u8/Uhyk2bRTguI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uhyk2bRTguI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3d533add", "sha": "52d8bfa1b7320c1696bb34e3d42e3aa946b86256", "translated_description": "", "image_url": "https://img.youtube.com/vi/Uhyk2bRTguI/hqdefault.jpg", "youtube_id": "Uhyk2bRTguI", "content_kind": "Video", "readable_id": "retrieval--free-recall--cued-recall--and-recognition"}, {"translated_youtube_id": "xv-UAPbcbNU", "relative_url": "/video/memory-reconstruction--source-monitoring--and-emotional-memories", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/memory-reconstruction--source-monitoring--and-emotional-memories", "duration": 287, "translated_title": "Memory reconstruction, source monitoring, and emotional memories", "translated_description_html": "", "id": "xffdb9be4", "description_html": "", "title": "Memory reconstruction, source monitoring, and emotional memories", "progress_key": "vxffdb9be4", "edit_slug": "edit/v/xffdb9be4", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/memory-reconstruction--source-monitoring--and-emotional-memories", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xv-UAPbcbNU.mp4/xv-UAPbcbNU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xv-UAPbcbNU.mp4/xv-UAPbcbNU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xv-UAPbcbNU.m3u8/xv-UAPbcbNU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xv-UAPbcbNU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxffdb9be4", "sha": "817566a8df4ec84374bb15c1627370d0c0ed5b17", "translated_description": "", "image_url": "https://img.youtube.com/vi/xv-UAPbcbNU/hqdefault.jpg", "youtube_id": "xv-UAPbcbNU", "content_kind": "Video", "readable_id": "memory-reconstruction--source-monitoring--and-emotional-memories"}, {"translated_youtube_id": "uVQXZudZd5s", "relative_url": "/video/long-term-potentiation-and-synaptic-plasticity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/long-term-potentiation-and-synaptic-plasticity", "duration": 157, "translated_title": "Long term potentiation and synaptic plasticity", "translated_description_html": "", "id": "x3a871e46", "description_html": "", "title": "Long term potentiation and synaptic plasticity", "progress_key": "vx3a871e46", "edit_slug": "edit/v/x3a871e46", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/long-term-potentiation-and-synaptic-plasticity", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uVQXZudZd5s.mp4/uVQXZudZd5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uVQXZudZd5s.mp4/uVQXZudZd5s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uVQXZudZd5s.m3u8/uVQXZudZd5s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uVQXZudZd5s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3a871e46", "sha": "eef1675b41104c9efb42218088fb83e0533d6dd6", "translated_description": "", "image_url": "https://img.youtube.com/vi/uVQXZudZd5s/hqdefault.jpg", "youtube_id": "uVQXZudZd5s", "content_kind": "Video", "readable_id": "long-term-potentiation-and-synaptic-plasticity"}, {"translated_youtube_id": "47JRs6hF_ic", "relative_url": "/video/decay-and-interference", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/decay-and-interference", "duration": 273, "translated_title": "Decay and interference", "translated_description_html": "", "id": "x38b33f79", "description_html": "", "title": "Decay and interference", "progress_key": "vx38b33f79", "edit_slug": "edit/v/x38b33f79", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/decay-and-interference", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/47JRs6hF_ic.mp4/47JRs6hF_ic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/47JRs6hF_ic.mp4/47JRs6hF_ic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/47JRs6hF_ic.m3u8/47JRs6hF_ic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=47JRs6hF_ic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx38b33f79", "sha": "46bca2385a1f450a80c4c95b1874dcd8cf69c74d", "translated_description": "", "image_url": "https://img.youtube.com/vi/47JRs6hF_ic/hqdefault.jpg", "youtube_id": "47JRs6hF_ic", "content_kind": "Video", "readable_id": "decay-and-interference"}, {"translated_youtube_id": "45qlm6cfHgg", "relative_url": "/video/aging-and-cognitive-abilities", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/aging-and-cognitive-abilities", "duration": 189, "translated_title": "Aging and cognitive abilities", "translated_description_html": "", "id": "x6fb13071", "description_html": "", "title": "Aging and cognitive abilities", "progress_key": "vx6fb13071", "edit_slug": "edit/v/x6fb13071", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/aging-and-cognitive-abilities", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/45qlm6cfHgg.mp4/45qlm6cfHgg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/45qlm6cfHgg.mp4/45qlm6cfHgg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/45qlm6cfHgg.m3u8/45qlm6cfHgg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=45qlm6cfHgg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6fb13071", "sha": "40bc146164cc52145a0c11cfa77d00eb93c36346", "translated_description": "", "image_url": "https://img.youtube.com/vi/45qlm6cfHgg/hqdefault.jpg", "youtube_id": "45qlm6cfHgg", "content_kind": "Video", "readable_id": "aging-and-cognitive-abilities"}, {"translated_youtube_id": "qWfwRbSrQMU", "relative_url": "/video/alzheimer-s-disease-and-korsakoff-s-syndrome", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alzheimer-s-disease-and-korsakoff-s-syndrome", "duration": 230, "translated_title": "Alzheimer's disease and Korsakoff's syndrome", "translated_description_html": "", "id": "x3dac9945", "description_html": "", "title": "Alzheimer's disease and Korsakoff's syndrome", "progress_key": "vx3dac9945", "edit_slug": "edit/v/x3dac9945", "author_names": ["Carole Yue"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/alzheimer-s-disease-and-korsakoff-s-syndrome", "deleted": false, "backup_timestamp": "2013-10-28T04:06:07Z", "date_added": "2013-10-28T04:06:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qWfwRbSrQMU.mp4/qWfwRbSrQMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qWfwRbSrQMU.mp4/qWfwRbSrQMU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qWfwRbSrQMU.m3u8/qWfwRbSrQMU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qWfwRbSrQMU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3dac9945", "sha": "018f668d9174ca7f3f39fdb6525d59d750cbef45", "translated_description": "", "image_url": "https://img.youtube.com/vi/qWfwRbSrQMU/hqdefault.jpg", "youtube_id": "qWfwRbSrQMU", "content_kind": "Video", "readable_id": "alzheimer-s-disease-and-korsakoff-s-syndrome"}], "twitter_url": "", "translated_description": "6B: Explore the structure of human memory; processes involved in normal encoding, retrieval, forgetting, and aging; and diseases affecting memory.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "6B: Explore the structure of human memory; processes involved in normal encoding, retrieval, forgetting, and aging; and diseases affecting memory.", "x_pos": 0.0, "node_slug": "memory", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T04:06:07Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax85fa5325", "topic_page_url": "/science/mcat/processing-the-environment/memory", "extended_slug": "science/mcat/processing-the-environment/memory", "slug": "memory", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ed3cbb4fcf7f9e7d94bca6c79b7aab8d682a58e4", "standalone_title": "Memory", "y_pos": 0.0, "current_revision_key": "ed3cbb4fcf7f9e7d94bca6c79b7aab8d682a58e4", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 6: Biological, psychological, and socio-cultural factors influence the ways that individuals perceive, think about, and react to the world.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 6: Biological, psychological, and socio-cultural factors influence the ways that individuals perceive, think about, and react to the world.", "x_pos": 0.0, "node_slug": "processing-the-environment", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0ec6ab0d", "topic_page_url": "/science/mcat/processing-the-environment", "extended_slug": "science/mcat/processing-the-environment", "slug": "processing-the-environment", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ef8bfee03ebe20480373081aec0a3a63ae26f462", "standalone_title": "Processing the environment", "y_pos": 0.0, "current_revision_key": "ef8bfee03ebe20480373081aec0a3a63ae26f462", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/behavior", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/behavior", "translated_standalone_title": "Behavior", "translated_title": "Behavior", "gplus_url": "", "id": "x6a06eaee", "old_key_name": null, "hide": false, "title": "Behavior", "child_data": [{"kind": "Topic", "id": "x6228433e"}, {"kind": "Topic", "id": "x9762510b"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/behavior/theories-personality", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/behavior/theories-personality", "translated_standalone_title": "Theories of personality", "translated_title": "Theories of personality", "gplus_url": "", "id": "x6228433e", "old_key_name": null, "hide": false, "title": "Theories of personality", "child_data": [{"kind": "Video", "id": "x654caea1"}, {"kind": "Video", "id": "x4346b6c0"}, {"kind": "Video", "id": "xa3e1ed51"}, {"kind": "Video", "id": "xe0c0ffac"}, {"kind": "Video", "id": "x8a4b9187"}, {"kind": "Video", "id": "xa17c1cb0"}, {"kind": "Video", "id": "x57a12950"}, {"kind": "Exercise", "id": "x594c5520"}, {"kind": "Exercise", "id": "x6d46bba3"}], "children": [{"translated_youtube_id": "jdawTFsCNtc", "relative_url": "/video/psychoanalytic-theory", "has_questions": false, "keywords": "psychoanalytic", "ka_url": "http://www.khanacademy.org/video/psychoanalytic-theory", "duration": 463, "translated_title": "Psychoanalytic theory", "translated_description_html": "

Learn about Sigmund Freud's Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. <\/span><\/p>\n", "id": "x654caea1", "description_html": "

Learn about Sigmund Freud's Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. <\/span><\/p>\n", "title": "Psychoanalytic theory", "progress_key": "vx654caea1", "edit_slug": "edit/v/x654caea1", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "Learn about Sigmund Freud's Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/psychoanalytic-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jdawTFsCNtc.mp4/jdawTFsCNtc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jdawTFsCNtc.mp4/jdawTFsCNtc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jdawTFsCNtc.m3u8/jdawTFsCNtc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jdawTFsCNtc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx654caea1", "sha": "dade69cb022e0255f5e1f3cbace276184cdaeabf", "translated_description": "Learn about Sigmund Freud's Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/jdawTFsCNtc/hqdefault.jpg", "youtube_id": "jdawTFsCNtc", "content_kind": "Video", "readable_id": "psychoanalytic-theory"}, {"translated_youtube_id": "P6PEf9WtEvs", "relative_url": "/video/maslow-hierarchy-of-needs", "has_questions": false, "keywords": "needs, maslow", "ka_url": "http://www.khanacademy.org/video/maslow-hierarchy-of-needs", "duration": 197, "translated_title": "Maslow's hierarchy of needs", "translated_description_html": "

Abraham Maslow's Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. <\/span><\/p>\n", "id": "x4346b6c0", "description_html": "

Abraham Maslow's Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. <\/span><\/p>\n", "title": "Maslow's hierarchy of needs", "progress_key": "vx4346b6c0", "edit_slug": "edit/v/x4346b6c0", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "Abraham Maslow's Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/maslow-hierarchy-of-needs", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P6PEf9WtEvs.mp4/P6PEf9WtEvs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P6PEf9WtEvs.mp4/P6PEf9WtEvs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P6PEf9WtEvs.m3u8/P6PEf9WtEvs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P6PEf9WtEvs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4346b6c0", "sha": "80470493fd36b3d3dc86c60fe5562446fa886c58", "translated_description": "Abraham Maslow's Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/P6PEf9WtEvs/hqdefault.jpg", "youtube_id": "P6PEf9WtEvs", "content_kind": "Video", "readable_id": "maslow-hierarchy-of-needs"}, {"translated_youtube_id": "3UcjojHetfE", "relative_url": "/video/humanistic-theory", "has_questions": false, "keywords": "humanistic theory", "ka_url": "http://www.khanacademy.org/video/humanistic-theory", "duration": 366, "translated_title": "Humanistic theory", "translated_description_html": "

A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. <\/span><\/p>\n", "id": "xa3e1ed51", "description_html": "

A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. <\/span><\/p>\n", "title": "Humanistic theory", "progress_key": "vxa3e1ed51", "edit_slug": "edit/v/xa3e1ed51", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/humanistic-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3UcjojHetfE.mp4/3UcjojHetfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3UcjojHetfE.mp4/3UcjojHetfE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3UcjojHetfE.m3u8/3UcjojHetfE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3UcjojHetfE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa3e1ed51", "sha": "8573ca650297bbd86fa37b659800547ebc6c7a8a", "translated_description": "A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/3UcjojHetfE/hqdefault.jpg", "youtube_id": "3UcjojHetfE", "content_kind": "Video", "readable_id": "humanistic-theory"}, {"translated_youtube_id": "FfugceYn140", "relative_url": "/video/biological-theory", "has_questions": false, "keywords": "biologic theory", "ka_url": "http://www.khanacademy.org/video/biological-theory", "duration": 333, "translated_title": "Biological theory", "translated_description_html": "

Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. <\/span><\/p>\n", "id": "xe0c0ffac", "description_html": "

Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. <\/span><\/p>\n", "title": "Biological theory", "progress_key": "vxe0c0ffac", "edit_slug": "edit/v/xe0c0ffac", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/biological-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FfugceYn140.mp4/FfugceYn140.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FfugceYn140.mp4/FfugceYn140.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FfugceYn140.m3u8/FfugceYn140.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FfugceYn140&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe0c0ffac", "sha": "36f275890789f4518373f069e41ce414c2b2606a", "translated_description": "Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/FfugceYn140/hqdefault.jpg", "youtube_id": "FfugceYn140", "content_kind": "Video", "readable_id": "biological-theory"}, {"translated_youtube_id": "x7wZCtFWblE", "relative_url": "/video/behavioral-theory", "has_questions": false, "keywords": "behavioral theory", "ka_url": "http://www.khanacademy.org/video/behavioral-theory", "duration": 258, "translated_title": "Behavioral theory", "translated_description_html": "

Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. <\/span><\/p>\n", "id": "x8a4b9187", "description_html": "

Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. <\/span><\/p>\n", "title": "Behavioral theory", "progress_key": "vx8a4b9187", "edit_slug": "edit/v/x8a4b9187", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/behavioral-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x7wZCtFWblE.mp4/x7wZCtFWblE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x7wZCtFWblE.mp4/x7wZCtFWblE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x7wZCtFWblE.m3u8/x7wZCtFWblE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x7wZCtFWblE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8a4b9187", "sha": "be1e610b199d8e8d84258cb3710278c44b2492cf", "translated_description": "Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/x7wZCtFWblE/hqdefault.jpg", "youtube_id": "x7wZCtFWblE", "content_kind": "Video", "readable_id": "behavioral-theory"}, {"translated_youtube_id": "Hxk6GCKUiZI", "relative_url": "/video/trait-theory", "has_questions": false, "keywords": "trait theory", "ka_url": "http://www.khanacademy.org/video/trait-theory", "duration": 601, "translated_title": "Trait theory", "translated_description_html": "

Learn how our traits make up our personality by taking a look at different psychologists' perspectives in how the Trait Theory came to be. By Shreena Desai. <\/span><\/p>\n", "id": "xa17c1cb0", "description_html": "

Learn how our traits make up our personality by taking a look at different psychologists' perspectives in how the Trait Theory came to be. By Shreena Desai. <\/span><\/p>\n", "title": "Trait theory", "progress_key": "vxa17c1cb0", "edit_slug": "edit/v/xa17c1cb0", "author_names": ["Shreena Desai"], "deleted_mod_time": null, "description": "Learn how our traits make up our personality by taking a look at different psychologists' perspectives in how the Trait Theory came to be. By Shreena Desai. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/trait-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hxk6GCKUiZI.mp4/Hxk6GCKUiZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hxk6GCKUiZI.mp4/Hxk6GCKUiZI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hxk6GCKUiZI.m3u8/Hxk6GCKUiZI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hxk6GCKUiZI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa17c1cb0", "sha": "0529f3387b18b355102234c814cadb09f3f83532", "translated_description": "Learn how our traits make up our personality by taking a look at different psychologists' perspectives in how the Trait Theory came to be. By Shreena Desai. \n", "image_url": "https://img.youtube.com/vi/Hxk6GCKUiZI/hqdefault.jpg", "youtube_id": "Hxk6GCKUiZI", "content_kind": "Video", "readable_id": "trait-theory"}, {"translated_youtube_id": "wf3-tRpmGmY", "relative_url": "/video/observational-learning", "has_questions": false, "keywords": "bobo doll experiment, observational learning, social cognitive theory", "ka_url": "http://www.khanacademy.org/video/observational-learning", "duration": 586, "translated_title": "Observational learning: Bobo doll experiment and social cognitive theory", "translated_description_html": "

An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura's Social Cognitive Theory. By Jeffrey Walsh. <\/span><\/p>\n", "id": "x57a12950", "description_html": "

An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura's Social Cognitive Theory. By Jeffrey Walsh. <\/span><\/p>\n", "title": "Observational learning: Bobo doll experiment and social cognitive theory", "progress_key": "vx57a12950", "edit_slug": "edit/v/x57a12950", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura's Social Cognitive Theory. By Jeffrey Walsh. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/observational-learning", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wf3-tRpmGmY.mp4/wf3-tRpmGmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wf3-tRpmGmY.mp4/wf3-tRpmGmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wf3-tRpmGmY.m3u8/wf3-tRpmGmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wf3-tRpmGmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx57a12950", "sha": "eda240beff7e8785a5cf1f7e0d203520710b489a", "translated_description": "An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura's Social Cognitive Theory. By Jeffrey Walsh. \n", "image_url": "https://img.youtube.com/vi/wf3-tRpmGmY/hqdefault.jpg", "youtube_id": "wf3-tRpmGmY", "content_kind": "Video", "readable_id": "observational-learning"}], "twitter_url": "", "translated_description": "7A: Curious about your personality? Throughout history, famous psychologists and schools of thought have tried to figure out how to organize and categorize personalities. Review these theories and see which one resonates the most with you! By Shreena Desai.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "7A: Curious about your personality? Throughout history, famous psychologists and schools of thought have tried to figure out how to organize and categorize personalities. Review these theories and see which one resonates the most with you! By Shreena Desai.", "x_pos": 0.0, "node_slug": "theories-personality", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6228433e", "topic_page_url": "/science/mcat/behavior/theories-personality", "extended_slug": "science/mcat/behavior/theories-personality", "slug": "theories-personality", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b578f86ebca608e6ff0ce3f24b830429287ecfe0", "standalone_title": "Theories of personality", "y_pos": 0.0, "current_revision_key": "b578f86ebca608e6ff0ce3f24b830429287ecfe0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/behavior/learning-slug", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/behavior/learning-slug", "translated_standalone_title": "Learning", "translated_title": "Learning", "gplus_url": "", "id": "x9762510b", "old_key_name": null, "hide": false, "title": "Learning", "child_data": [{"kind": "Video", "id": "x0777f6f7"}, {"kind": "Video", "id": "xe4f1f9af"}, {"kind": "Video", "id": "x08ac1446"}, {"kind": "Video", "id": "x1a3b20c0"}, {"kind": "Video", "id": "x032b0954"}, {"kind": "Video", "id": "x10f35d0a"}, {"kind": "Video", "id": "xecb71c7f"}, {"kind": "Video", "id": "xa60e0276"}, {"kind": "Exercise", "id": "xf1f41d49"}, {"kind": "Exercise", "id": "x10335537"}], "children": [{"translated_youtube_id": "-6KzZKuQ1lk", "relative_url": "/video/classical-conditioning--neutral--conditioned--and-unconditioned-stimuli-and-responses", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classical-conditioning--neutral--conditioned--and-unconditioned-stimuli-and-responses", "duration": 347, "translated_title": "Classical conditioning: Neutral, conditioned, and unconditioned stimuli and responses", "translated_description_html": "", "id": "x0777f6f7", "description_html": "", "title": "Classical conditioning: Neutral, conditioned, and unconditioned stimuli and responses", "progress_key": "vx0777f6f7", "edit_slug": "edit/v/x0777f6f7", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/classical-conditioning--neutral--conditioned--and-unconditioned-stimuli-and-responses", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-6KzZKuQ1lk.mp4/-6KzZKuQ1lk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-6KzZKuQ1lk.mp4/-6KzZKuQ1lk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-6KzZKuQ1lk.m3u8/-6KzZKuQ1lk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-6KzZKuQ1lk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0777f6f7", "sha": "ffd44ca00d714f8f37007c9169fdd75d1563f2d3", "translated_description": "", "image_url": "https://img.youtube.com/vi/-6KzZKuQ1lk/hqdefault.jpg", "youtube_id": "-6KzZKuQ1lk", "content_kind": "Video", "readable_id": "classical-conditioning--neutral--conditioned--and-unconditioned-stimuli-and-responses"}, {"translated_youtube_id": "qaOC_3KA3P8", "relative_url": "/video/classical-conditioning--extinction--spontaneous-recovery--generalization--discrimination", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/classical-conditioning--extinction--spontaneous-recovery--generalization--discrimination", "duration": 334, "translated_title": "Classical conditioning: Extinction, spontaneous recovery, generalization, discrimination", "translated_description_html": "", "id": "xe4f1f9af", "description_html": "", "title": "Classical conditioning: Extinction, spontaneous recovery, generalization, discrimination", "progress_key": "vxe4f1f9af", "edit_slug": "edit/v/xe4f1f9af", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/classical-conditioning--extinction--spontaneous-recovery--generalization--discrimination", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qaOC_3KA3P8.mp4/qaOC_3KA3P8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qaOC_3KA3P8.mp4/qaOC_3KA3P8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qaOC_3KA3P8.m3u8/qaOC_3KA3P8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qaOC_3KA3P8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe4f1f9af", "sha": "b31a6f987d9953c4d22a314e3b1bb0522bb6e99e", "translated_description": "", "image_url": "https://img.youtube.com/vi/qaOC_3KA3P8/hqdefault.jpg", "youtube_id": "qaOC_3KA3P8", "content_kind": "Video", "readable_id": "classical-conditioning--extinction--spontaneous-recovery--generalization--discrimination"}, {"translated_youtube_id": "ut1zmfolM9E", "relative_url": "/video/operant-conditioning--positive-and-negative-reinforcement-and-punishment", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/operant-conditioning--positive-and-negative-reinforcement-and-punishment", "duration": 420, "translated_title": "Operant conditioning: Positive-and-negative reinforcement and punishment", "translated_description_html": "", "id": "x08ac1446", "description_html": "", "title": "Operant conditioning: Positive-and-negative reinforcement and punishment", "progress_key": "vx08ac1446", "edit_slug": "edit/v/x08ac1446", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/operant-conditioning--positive-and-negative-reinforcement-and-punishment", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ut1zmfolM9E.mp4/ut1zmfolM9E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ut1zmfolM9E.mp4/ut1zmfolM9E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ut1zmfolM9E.m3u8/ut1zmfolM9E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ut1zmfolM9E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx08ac1446", "sha": "35da25af8b6f0ecd56d071c22a89cd6774bb0404", "translated_description": "", "image_url": "https://img.youtube.com/vi/ut1zmfolM9E/hqdefault.jpg", "youtube_id": "ut1zmfolM9E", "content_kind": "Video", "readable_id": "operant-conditioning--positive-and-negative-reinforcement-and-punishment"}, {"translated_youtube_id": "kexFINXbJo4", "relative_url": "/video/operant-conditioning--shaping", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/operant-conditioning--shaping", "duration": 440, "translated_title": "Operant conditioning: Shaping", "translated_description_html": "", "id": "x1a3b20c0", "description_html": "", "title": "Operant conditioning: Shaping", "progress_key": "vx1a3b20c0", "edit_slug": "edit/v/x1a3b20c0", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/operant-conditioning--shaping", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kexFINXbJo4.mp4/kexFINXbJo4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kexFINXbJo4.mp4/kexFINXbJo4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kexFINXbJo4.m3u8/kexFINXbJo4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kexFINXbJo4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a3b20c0", "sha": "3abf757625eab8113e33e3830889d6efd82dc5f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/kexFINXbJo4/hqdefault.jpg", "youtube_id": "kexFINXbJo4", "content_kind": "Video", "readable_id": "operant-conditioning--shaping"}, {"translated_youtube_id": "6Ofbt16AJgg", "relative_url": "/video/operant-conditioning--schedules-of-reinforcement", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/operant-conditioning--schedules-of-reinforcement", "duration": 469, "translated_title": "Operant conditioning: Schedules of reinforcement", "translated_description_html": "", "id": "x032b0954", "description_html": "", "title": "Operant conditioning: Schedules of reinforcement", "progress_key": "vx032b0954", "edit_slug": "edit/v/x032b0954", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/operant-conditioning--schedules-of-reinforcement", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Ofbt16AJgg.mp4/6Ofbt16AJgg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Ofbt16AJgg.mp4/6Ofbt16AJgg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Ofbt16AJgg.m3u8/6Ofbt16AJgg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Ofbt16AJgg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx032b0954", "sha": "0ae5c294ec5c135ecfc969453545405d64da5981", "translated_description": "", "image_url": "https://img.youtube.com/vi/6Ofbt16AJgg/hqdefault.jpg", "youtube_id": "6Ofbt16AJgg", "content_kind": "Video", "readable_id": "operant-conditioning--schedules-of-reinforcement"}, {"translated_youtube_id": "bGpw7NeXyBc", "relative_url": "/video/operant-conditioning--innate-vs--learned-behaviors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/operant-conditioning--innate-vs--learned-behaviors", "duration": 565, "translated_title": "Operant conditioning: Innate vs learned behaviors", "translated_description_html": "", "id": "x10f35d0a", "description_html": "", "title": "Operant conditioning: Innate vs learned behaviors", "progress_key": "vx10f35d0a", "edit_slug": "edit/v/x10f35d0a", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/operant-conditioning--innate-vs--learned-behaviors", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bGpw7NeXyBc.mp4/bGpw7NeXyBc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bGpw7NeXyBc.mp4/bGpw7NeXyBc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bGpw7NeXyBc.m3u8/bGpw7NeXyBc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bGpw7NeXyBc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx10f35d0a", "sha": "aa1bd98009361fee762ae0dc0763a3b85f3ff6cd", "translated_description": "", "image_url": "https://img.youtube.com/vi/bGpw7NeXyBc/hqdefault.jpg", "youtube_id": "bGpw7NeXyBc", "content_kind": "Video", "readable_id": "operant-conditioning--innate-vs--learned-behaviors"}, {"translated_youtube_id": "fwzEbzgPszk", "relative_url": "/video/operant-conditioning--escape-and-avoidance-learning", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/operant-conditioning--escape-and-avoidance-learning", "duration": 140, "translated_title": "Operant conditioning: Escape and avoidance learning", "translated_description_html": "", "id": "xecb71c7f", "description_html": "", "title": "Operant conditioning: Escape and avoidance learning", "progress_key": "vxecb71c7f", "edit_slug": "edit/v/xecb71c7f", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/operant-conditioning--escape-and-avoidance-learning", "deleted": false, "backup_timestamp": "2013-10-17T19:58:55Z", "date_added": "2013-10-17T19:58:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fwzEbzgPszk.mp4/fwzEbzgPszk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fwzEbzgPszk.mp4/fwzEbzgPszk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fwzEbzgPszk.m3u8/fwzEbzgPszk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fwzEbzgPszk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxecb71c7f", "sha": "40b7f94398f7ded21d81a7ead53fe9b0af30adfa", "translated_description": "", "image_url": "https://img.youtube.com/vi/fwzEbzgPszk/hqdefault.jpg", "youtube_id": "fwzEbzgPszk", "content_kind": "Video", "readable_id": "operant-conditioning--escape-and-avoidance-learning"}, {"translated_youtube_id": "HsQqb1E-bAU", "relative_url": "/video/observational-learning--bobo-doll-experiment-and-social-cognitive-theory", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/observational-learning--bobo-doll-experiment-and-social-cognitive-theory", "duration": 586, "translated_title": "Observational learning: Bobo doll experiment and social cognitive theory", "translated_description_html": "", "id": "xa60e0276", "description_html": "", "title": "Observational learning: Bobo doll experiment and social cognitive theory", "progress_key": "vxa60e0276", "edit_slug": "edit/v/xa60e0276", "author_names": ["Jeffrey Walsh"], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/observational-learning--bobo-doll-experiment-and-social-cognitive-theory", "deleted": false, "backup_timestamp": "2013-10-17T19:58:56Z", "date_added": "2013-10-17T19:58:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HsQqb1E-bAU.mp4/HsQqb1E-bAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HsQqb1E-bAU.mp4/HsQqb1E-bAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HsQqb1E-bAU.m3u8/HsQqb1E-bAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HsQqb1E-bAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa60e0276", "sha": "e72b6921497bbe97ee35e6e202836b3e2d9d0868", "translated_description": "", "image_url": "https://img.youtube.com/vi/HsQqb1E-bAU/hqdefault.jpg", "youtube_id": "HsQqb1E-bAU", "content_kind": "Video", "readable_id": "observational-learning--bobo-doll-experiment-and-social-cognitive-theory"}], "twitter_url": "", "translated_description": "7C: Learn about learning! How does our environment influence our behavior? What are the consequences of our behavior? Understand the basics of classical and operant conditioning. Appreciate how we learn through observation, and how it relates to the issue of violence in the media. By Jeffrey Walsh.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "7C: Learn about learning! How does our environment influence our behavior? What are the consequences of our behavior? Understand the basics of classical and operant conditioning. Appreciate how we learn through observation, and how it relates to the issue of violence in the media. By Jeffrey Walsh.", "x_pos": 0.0, "node_slug": "learning-slug", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-17T19:58:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9762510b", "topic_page_url": "/science/mcat/behavior/learning-slug", "extended_slug": "science/mcat/behavior/learning-slug", "slug": "learning-slug", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d33c169b279d638c2e7c74081e45292c6103f388", "standalone_title": "Learning", "y_pos": 0.0, "current_revision_key": "d33c169b279d638c2e7c74081e45292c6103f388", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 7: Biological, psychological, and socio-cultural factors influence behavior and behavior change.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 7: Biological, psychological, and socio-cultural factors influence behavior and behavior change.", "x_pos": 0.0, "node_slug": "behavior", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6a06eaee", "topic_page_url": "/science/mcat/behavior", "extended_slug": "science/mcat/behavior", "slug": "behavior", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d80ef782efc01b58bcb90c685e462ba7a1124f34", "standalone_title": "Behavior", "y_pos": 0.0, "current_revision_key": "d80ef782efc01b58bcb90c685e462ba7a1124f34", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/society-and-culture", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/society-and-culture", "translated_standalone_title": "Society and culture", "translated_title": "Society and culture", "gplus_url": "", "id": "xfee83fcc", "old_key_name": null, "hide": false, "title": "Society and culture", "child_data": [{"kind": "Topic", "id": "x42de2b74"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/mcat/society-and-culture/social-structures", "web_url": "", "ka_url": "http://www.khanacademy.org/science/mcat/society-and-culture/social-structures", "translated_standalone_title": "Social structures", "translated_title": "Social structures", "gplus_url": "", "id": "x42de2b74", "old_key_name": null, "hide": false, "title": "Social structures", "child_data": [{"kind": "Video", "id": "xe303d24f"}, {"kind": "Video", "id": "x9142bef1"}, {"kind": "Video", "id": "xa989056e"}, {"kind": "Video", "id": "x16b3cdcc"}, {"kind": "Video", "id": "xfeb2aec4"}, {"kind": "Video", "id": "x58b50eab"}, {"kind": "Exercise", "id": "xd53ad0de"}, {"kind": "Exercise", "id": "xf52a6bc0"}], "children": [{"translated_youtube_id": "9KR1bad76qg", "relative_url": "/video/institutions", "has_questions": false, "keywords": "institutions", "ka_url": "http://www.khanacademy.org/video/institutions", "duration": 207, "translated_title": "Institutions", "translated_description_html": "

Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society's needs, they also help to build the society itself. By Sydney Brown.<\/span><\/p>\n", "id": "xe303d24f", "description_html": "

Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society's needs, they also help to build the society itself. By Sydney Brown.<\/span><\/p>\n", "title": "Institutions", "progress_key": "vxe303d24f", "edit_slug": "edit/v/xe303d24f", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society's needs, they also help to build the society itself. By Sydney Brown.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/institutions", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9KR1bad76qg.mp4/9KR1bad76qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9KR1bad76qg.mp4/9KR1bad76qg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9KR1bad76qg.m3u8/9KR1bad76qg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9KR1bad76qg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe303d24f", "sha": "69636a825bbb4f88312629d588bd7aaa6827b566", "translated_description": "Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society's needs, they also help to build the society itself. By Sydney Brown.\n", "image_url": "https://img.youtube.com/vi/9KR1bad76qg/hqdefault.jpg", "youtube_id": "9KR1bad76qg", "content_kind": "Video", "readable_id": "institutions"}, {"translated_youtube_id": "LPYTndFFTko", "relative_url": "/video/conflict-theory", "has_questions": false, "keywords": "conflict theory", "ka_url": "http://www.khanacademy.org/video/conflict-theory", "duration": 278, "translated_title": "Conflict theory", "translated_description_html": "

Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. <\/span><\/p>\n", "id": "x9142bef1", "description_html": "

Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. <\/span><\/p>\n", "title": "Conflict theory", "progress_key": "vx9142bef1", "edit_slug": "edit/v/x9142bef1", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/conflict-theory", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LPYTndFFTko.mp4/LPYTndFFTko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LPYTndFFTko.mp4/LPYTndFFTko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LPYTndFFTko.m3u8/LPYTndFFTko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LPYTndFFTko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9142bef1", "sha": "78779e266afac5511583fde65172d0021d38d700", "translated_description": "Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. \n", "image_url": "https://img.youtube.com/vi/LPYTndFFTko/hqdefault.jpg", "youtube_id": "LPYTndFFTko", "content_kind": "Video", "readable_id": "conflict-theory"}, {"translated_youtube_id": "-83vVeSC2_g", "relative_url": "/video/functionalism", "has_questions": false, "keywords": "funtionalism", "ka_url": "http://www.khanacademy.org/video/functionalism", "duration": 342, "translated_title": "Functionalism", "translated_description_html": "

Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. <\/span><\/p>\n", "id": "xa989056e", "description_html": "

Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. <\/span><\/p>\n", "title": "Functionalism", "progress_key": "vxa989056e", "edit_slug": "edit/v/xa989056e", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/functionalism", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-83vVeSC2_g.mp4/-83vVeSC2_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-83vVeSC2_g.mp4/-83vVeSC2_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-83vVeSC2_g.m3u8/-83vVeSC2_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-83vVeSC2_g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa989056e", "sha": "7d0fa4612824ff4c3a15c0ec1d5304ec7975cdc2", "translated_description": "Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. \n", "image_url": "https://img.youtube.com/vi/-83vVeSC2_g/hqdefault.jpg", "youtube_id": "-83vVeSC2_g", "content_kind": "Video", "readable_id": "functionalism"}, {"translated_youtube_id": "5U2XAJNazik", "relative_url": "/video/social-constructionism", "has_questions": false, "keywords": "social constructionism", "ka_url": "http://www.khanacademy.org/video/social-constructionism", "duration": 166, "translated_title": "Social constructionism", "translated_description_html": "

Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.  By Sydney Brown.<\/p>\n", "id": "x16b3cdcc", "description_html": "

Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.  By Sydney Brown.<\/p>\n", "title": "Social constructionism", "progress_key": "vx16b3cdcc", "edit_slug": "edit/v/x16b3cdcc", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.  By Sydney Brown.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/social-constructionism", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5U2XAJNazik.mp4/5U2XAJNazik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5U2XAJNazik.mp4/5U2XAJNazik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5U2XAJNazik.m3u8/5U2XAJNazik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5U2XAJNazik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx16b3cdcc", "sha": "84fe2da2d46543c8258752f0fe65c7cc790fd3da", "translated_description": "Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.  By Sydney Brown.\n", "image_url": "https://img.youtube.com/vi/5U2XAJNazik/hqdefault.jpg", "youtube_id": "5U2XAJNazik", "content_kind": "Video", "readable_id": "social-constructionism"}, {"translated_youtube_id": "Ux2E6uhEVk0", "relative_url": "/video/symbolic-interactionism", "has_questions": false, "keywords": "symbolic interactionism", "ka_url": "http://www.khanacademy.org/video/symbolic-interactionism", "duration": 215, "translated_title": "Symbolic interactionism", "translated_description_html": "", "id": "xfeb2aec4", "description_html": "", "title": "Symbolic interactionism", "progress_key": "vxfeb2aec4", "edit_slug": "edit/v/xfeb2aec4", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/symbolic-interactionism", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ux2E6uhEVk0.mp4/Ux2E6uhEVk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ux2E6uhEVk0.mp4/Ux2E6uhEVk0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ux2E6uhEVk0.m3u8/Ux2E6uhEVk0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ux2E6uhEVk0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfeb2aec4", "sha": "f0b17a6ded3c7ad29375e9897dfed67bce5b288f", "translated_description": "", "image_url": "https://img.youtube.com/vi/Ux2E6uhEVk0/hqdefault.jpg", "youtube_id": "Ux2E6uhEVk0", "content_kind": "Video", "readable_id": "symbolic-interactionism"}, {"translated_youtube_id": "KpaLchFpJZ8", "relative_url": "/video/social-theories-overview", "has_questions": false, "keywords": "social theories overview", "ka_url": "http://www.khanacademy.org/video/social-theories-overview", "duration": 251, "translated_title": "Social theories overview", "translated_description_html": "

An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.  By Sydney Brown.<\/p>\n", "id": "x58b50eab", "description_html": "

An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.  By Sydney Brown.<\/p>\n", "title": "Social theories overview", "progress_key": "vx58b50eab", "edit_slug": "edit/v/x58b50eab", "author_names": ["Sydney Brown"], "deleted_mod_time": null, "description": "An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.  By Sydney Brown.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/social-theories-overview", "deleted": false, "backup_timestamp": "2013-10-10T01:44:37Z", "date_added": "2013-10-10T01:44:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KpaLchFpJZ8.mp4/KpaLchFpJZ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KpaLchFpJZ8.mp4/KpaLchFpJZ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KpaLchFpJZ8.m3u8/KpaLchFpJZ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KpaLchFpJZ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx58b50eab", "sha": "0ee0ef8175314a6dfe34e87140faf45a1e6df232", "translated_description": "An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.  By Sydney Brown.\n", "image_url": "https://img.youtube.com/vi/KpaLchFpJZ8/hqdefault.jpg", "youtube_id": "KpaLchFpJZ8", "content_kind": "Video", "readable_id": "social-theories-overview"}], "twitter_url": "", "translated_description": "9A: What is a society? How do we humans all live together in such highly populated cities? How does a society change? Learn about some sociologic theories that have been proposed that try to address some of these important questions! By Sydney Brown.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "9A: What is a society? How do we humans all live together in such highly populated cities? How does a society change? Learn about some sociologic theories that have been proposed that try to address some of these important questions! By Sydney Brown.", "x_pos": 0.0, "node_slug": "social-structures", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax42de2b74", "topic_page_url": "/science/mcat/society-and-culture/social-structures", "extended_slug": "science/mcat/society-and-culture/social-structures", "slug": "social-structures", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a6c2f207a5f586ad5e361669cc908ddbf2d1b885", "standalone_title": "Social structures", "y_pos": 0.0, "current_revision_key": "a6c2f207a5f586ad5e361669cc908ddbf2d1b885", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Foundational Concept 9: Cultural and social differences influence well-being.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Foundational Concept 9: Cultural and social differences influence well-being.", "x_pos": 0.0, "node_slug": "society-and-culture", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfee83fcc", "topic_page_url": "/science/mcat/society-and-culture", "extended_slug": "science/mcat/society-and-culture", "slug": "society-and-culture", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d1f86e26c978f16ae9e402659cc85aa9d79d1175", "standalone_title": "Society and culture", "y_pos": 0.0, "current_revision_key": "d1f86e26c978f16ae9e402659cc85aa9d79d1175", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This collection is being developed for the revised MCAT® exam that will first be administered in spring 2015. Videos will be added to the collection through fall 2014. All content in this collection has been created under the direction of the Khan Academy and has been reviewed under the direction of the Association of American Medical Colleges (AAMC). All materials are categorized according to the pre-health competencies tested by the MCAT²⁰¹⁵ exam; however, the content in this collection is not intended to prescribe a program of study for the MCAT²⁰¹⁵ exam. The content is also included in the Pre-health Collection within MedEdPORTAL’s iCollaborative sponsored by the AAMC: www.mededportal.org/pre-health\n\n*MCAT® is a program of the AAMC and related trademarks owned by the Association include Medical College Admission Test, MCAT, and MCAT²⁰¹⁵. For more information about the MCAT exam visit : www.aamc.org/mcat2015", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This collection is being developed for the revised MCAT® exam that will first be administered in spring 2015. Videos will be added to the collection through fall 2014. All content in this collection has been created under the direction of the Khan Academy and has been reviewed under the direction of the Association of American Medical Colleges (AAMC). All materials are categorized according to the pre-health competencies tested by the MCAT²⁰¹⁵ exam; however, the content in this collection is not intended to prescribe a program of study for the MCAT²⁰¹⁵ exam. The content is also included in the Pre-health Collection within MedEdPORTAL’s iCollaborative sponsored by the AAMC: www.mededportal.org/pre-health\n\n*MCAT® is a program of the AAMC and related trademarks owned by the Association include Medical College Admission Test, MCAT, and MCAT²⁰¹⁵. For more information about the MCAT exam visit : www.aamc.org/mcat2015", "x_pos": 0.0, "node_slug": "mcat", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04f6bc56", "topic_page_url": "/science/mcat", "extended_slug": "science/mcat", "slug": "mcat", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ef7ce21d0db4f55096c50629eea3de21c4856437", "standalone_title": "MCAT", "y_pos": 0.0, "current_revision_key": "ef7ce21d0db4f55096c50629eea3de21c4856437", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects", "translated_standalone_title": "Discoveries and projects", "translated_title": "Discoveries and projects", "gplus_url": "", "id": "xae887ec6", "old_key_name": null, "hide": false, "title": "Discoveries and projects", "child_data": [{"kind": "Topic", "id": "xf830622e"}, {"kind": "Topic", "id": "xeb4f050d"}, {"kind": "Topic", "id": "x7f8a9b2b"}, {"kind": "Topic", "id": "x6714e769"}, {"kind": "Topic", "id": "xa34a0a49"}, {"kind": "Topic", "id": "x61d0199b"}, {"kind": "Topic", "id": "x3319f34f"}, {"kind": "Topic", "id": "x1ae73254"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries", "translated_standalone_title": "Discoveries", "translated_title": "Discoveries", "gplus_url": "", "id": "xf830622e", "old_key_name": "e1PZ7WGca-MQf1m8JziZbCRp3NaykqO-g78M8U8R", "hide": false, "title": "Discoveries", "child_data": [{"kind": "Topic", "id": "xcf68efd5"}, {"kind": "Topic", "id": "xb185bc17"}, {"kind": "Topic", "id": "x4742f4bf"}, {"kind": "Topic", "id": "x0e9c6822"}, {"kind": "Topic", "id": "xef5bd47f"}, {"kind": "Topic", "id": "x181efea9"}, {"kind": "Topic", "id": "xb001207f"}, {"kind": "Topic", "id": "x3d4fdccc"}, {"kind": "Topic", "id": "x1065b901"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/magnetism", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/magnetism", "translated_standalone_title": "Discovery of Magnetism", "translated_title": "Discovery of magnetism", "gplus_url": "", "id": "xcf68efd5", "old_key_name": "d1CuBF1IHohIwHtyYbeZINVt_78rhItfQzafpiwm", "hide": false, "title": "Discovery of magnetism", "child_data": [{"kind": "Video", "id": 1358451554}, {"kind": "Exercise", "id": "xc55c5fc2"}, {"kind": "Video", "id": "x0c01a357"}, {"kind": "Video", "id": "x10a9773b"}, {"kind": "Video", "id": "x4af1a708"}, {"kind": "Video", "id": "x298aa554"}, {"kind": "Video", "id": "x11ec76fc"}, {"kind": "Video", "id": "x6398a10b"}, {"kind": "Scratchpad", "id": 1549121998}, {"kind": "Article", "id": "xb31fd40a"}], "children": [{"translated_youtube_id": "IzyheHIPBXU", "relative_url": "/video/discovery-of-magnetism", "has_questions": false, "keywords": "compass", "ka_url": "http://www.khanacademy.org/video/discovery-of-magnetism", "duration": 69, "translated_title": "Discovery of magnetism", "translated_description_html": "

Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.<\/p>\n", "id": "1358451554", "description_html": "

Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.<\/p>\n", "title": "Discovery of magnetism", "progress_key": "v1358451554", "edit_slug": "edit/v/1358451554", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-of-magnetism", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-02-07T16:12:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IzyheHIPBXU.mp4/IzyheHIPBXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IzyheHIPBXU.mp4/IzyheHIPBXU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IzyheHIPBXU.m3u8/IzyheHIPBXU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IzyheHIPBXU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1358451554", "sha": "5506774d4be68ac4d56b96f3015aa1d0e9b08270", "translated_description": "Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.\n", "image_url": "https://img.youtube.com/vi/IzyheHIPBXU/hqdefault.jpg", "youtube_id": "IzyheHIPBXU", "content_kind": "Video", "readable_id": "discovery-of-magnetism"}, {"translated_youtube_id": "vzCVnLwaRKc", "relative_url": "/video/which-way-is-north", "has_questions": false, "keywords": "compass direction", "ka_url": "http://www.khanacademy.org/video/which-way-is-north", "duration": 61, "translated_title": "Compass: Which way is north?", "translated_description_html": "how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?", "id": "x0c01a357", "description_html": "how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?", "title": "Compass: Which way is north?", "progress_key": "vx0c01a357", "edit_slug": "edit/v/x0c01a357", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?", "extra_properties": {"original_url": ""}, "node_slug": "v/which-way-is-north", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-26T15:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vzCVnLwaRKc.mp4/vzCVnLwaRKc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vzCVnLwaRKc.mp4/vzCVnLwaRKc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vzCVnLwaRKc.m3u8/vzCVnLwaRKc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vzCVnLwaRKc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0c01a357", "sha": "5550184ef76ab7e82419e563f108ad9af8096012", "translated_description": "how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?", "image_url": "https://img.youtube.com/vi/vzCVnLwaRKc/hqdefault.jpg", "youtube_id": "vzCVnLwaRKc", "content_kind": "Video", "readable_id": "which-way-is-north"}, {"translated_youtube_id": "JQ_Wojqtn7c", "relative_url": "/video/floating-magnet--poles", "has_questions": false, "keywords": "magnetic poles", "ka_url": "http://www.khanacademy.org/video/floating-magnet--poles", "duration": 34, "translated_title": "Floating magnet", "translated_description_html": "

Can you use a magnet as a compass? How can you find North vs. South pole?<\/p>\n", "id": "x10a9773b", "description_html": "

Can you use a magnet as a compass? How can you find North vs. South pole?<\/p>\n", "title": "Floating magnet", "progress_key": "vx10a9773b", "edit_slug": "edit/v/x10a9773b", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Can you use a magnet as a compass? How can you find North vs. South pole?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/floating-magnet--poles", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-04-26T15:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JQ_Wojqtn7c.mp4/JQ_Wojqtn7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JQ_Wojqtn7c.mp4/JQ_Wojqtn7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JQ_Wojqtn7c.m3u8/JQ_Wojqtn7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JQ_Wojqtn7c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx10a9773b", "sha": "4b360d052aaa9e43f8fe5b8bbc14b6aeb118c776", "translated_description": "Can you use a magnet as a compass? How can you find North vs. South pole?\n", "image_url": "https://img.youtube.com/vi/JQ_Wojqtn7c/hqdefault.jpg", "youtube_id": "JQ_Wojqtn7c", "content_kind": "Video", "readable_id": "floating-magnet--poles"}, {"translated_youtube_id": "2hRIKH-Dca0", "relative_url": "/video/making-a-compass-stroke", "has_questions": false, "keywords": "making magnet", "ka_url": "http://www.khanacademy.org/video/making-a-compass-stroke", "duration": 75, "translated_title": "Compass build (stroke direction)", "translated_description_html": "Does the direction which we stroke the needle determine the final orientation?", "id": "x4af1a708", "description_html": "Does the direction which we stroke the needle determine the final orientation?", "title": "Compass build (stroke direction)", "progress_key": "vx4af1a708", "edit_slug": "edit/v/x4af1a708", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Does the direction which we stroke the needle determine the final orientation?", "extra_properties": {"original_url": ""}, "node_slug": "v/making-a-compass-stroke", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-04-26T15:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2hRIKH-Dca0.mp4/2hRIKH-Dca0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2hRIKH-Dca0.mp4/2hRIKH-Dca0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2hRIKH-Dca0.m3u8/2hRIKH-Dca0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2hRIKH-Dca0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4af1a708", "sha": "a40141f4f9145542d081cc41e19436a2af9095da", "translated_description": "Does the direction which we stroke the needle determine the final orientation?", "image_url": "https://img.youtube.com/vi/2hRIKH-Dca0/hqdefault.jpg", "youtube_id": "2hRIKH-Dca0", "content_kind": "Video", "readable_id": "making-a-compass-stroke"}, {"translated_youtube_id": "WII2kc2QYdU", "relative_url": "/video/making-a-compass-orientation", "has_questions": false, "keywords": "magnets", "ka_url": "http://www.khanacademy.org/video/making-a-compass-orientation", "duration": 67, "translated_title": "Compass build (magnet orientation)", "translated_description_html": "Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?", "id": "x298aa554", "description_html": "Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?", "title": "Compass build (magnet orientation)", "progress_key": "vx298aa554", "edit_slug": "edit/v/x298aa554", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/making-a-compass-orientation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-04-26T15:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WII2kc2QYdU.mp4/WII2kc2QYdU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WII2kc2QYdU.mp4/WII2kc2QYdU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WII2kc2QYdU.m3u8/WII2kc2QYdU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WII2kc2QYdU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx298aa554", "sha": "d9d80539ab038b112c6b230da7691807fe4f8ee5", "translated_description": "Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?", "image_url": "https://img.youtube.com/vi/WII2kc2QYdU/hqdefault.jpg", "youtube_id": "WII2kc2QYdU", "content_kind": "Video", "readable_id": "making-a-compass-orientation"}, {"translated_youtube_id": "D8NVS7itIOo", "relative_url": "/video/how-to-neutralize-compass", "has_questions": false, "keywords": "compass", "ka_url": "http://www.khanacademy.org/video/how-to-neutralize-compass", "duration": 47, "translated_title": "Neutralize a compass", "translated_description_html": "How to neutralize a compass using two needles. How could this help us later? Why does this work?", "id": "x11ec76fc", "description_html": "How to neutralize a compass using two needles. How could this help us later? Why does this work?", "title": "Neutralize a compass", "progress_key": "vx11ec76fc", "edit_slug": "edit/v/x11ec76fc", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to neutralize a compass using two needles. How could this help us later? Why does this work?", "extra_properties": {"original_url": ""}, "node_slug": "v/how-to-neutralize-compass", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-26T15:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D8NVS7itIOo.mp4/D8NVS7itIOo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D8NVS7itIOo.mp4/D8NVS7itIOo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D8NVS7itIOo.m3u8/D8NVS7itIOo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D8NVS7itIOo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx11ec76fc", "sha": "76b6b8d7799cbb651c99047fb147e1cd0862763e", "translated_description": "How to neutralize a compass using two needles. How could this help us later? Why does this work?", "image_url": "https://img.youtube.com/vi/D8NVS7itIOo/hqdefault.jpg", "youtube_id": "D8NVS7itIOo", "content_kind": "Video", "readable_id": "how-to-neutralize-compass"}, {"translated_youtube_id": "LjC-H-RAclc", "relative_url": "/video/discovery-of-magnetic-poles--two-compass-needles", "has_questions": false, "keywords": "magnetic pole", "ka_url": "http://www.khanacademy.org/video/discovery-of-magnetic-poles--two-compass-needles", "duration": 45, "translated_title": "Compass interactions", "translated_description_html": "If we float two identically magnetized needles they will always orient themselves in the same way. Why?", "id": "x6398a10b", "description_html": "If we float two identically magnetized needles they will always orient themselves in the same way. Why?", "title": "Compass interactions", "progress_key": "vx6398a10b", "edit_slug": "edit/v/x6398a10b", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "If we float two identically magnetized needles they will always orient themselves in the same way. Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-of-magnetic-poles--two-compass-needles", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-04-26T15:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LjC-H-RAclc.mp4/LjC-H-RAclc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LjC-H-RAclc.mp4/LjC-H-RAclc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LjC-H-RAclc.m3u8/LjC-H-RAclc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LjC-H-RAclc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6398a10b", "sha": "e900688b522e9378e4bdc963a0a92675f59444db", "translated_description": "If we float two identically magnetized needles they will always orient themselves in the same way. Why?", "image_url": "https://img.youtube.com/vi/LjC-H-RAclc/hqdefault.jpg", "youtube_id": "LjC-H-RAclc", "content_kind": "Video", "readable_id": "discovery-of-magnetic-poles--two-compass-needles"}], "twitter_url": "", "translated_description": "The discovery of magnetism. What can we do with this invisible force?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The discovery of magnetism. What can we do with this invisible force?", "x_pos": 0.0, "node_slug": "magnetism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcf68efd5", "topic_page_url": "/science/discoveries-projects/discoveries/magnetism", "extended_slug": "science/discoveries-projects/discoveries/magnetism", "slug": "magnetism", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "47ddcb81d44b7f1df2bb933d91f143bd8da6c217", "standalone_title": "Discovery of Magnetism", "y_pos": 0.0, "current_revision_key": "47ddcb81d44b7f1df2bb933d91f143bd8da6c217", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/magnetic-fields", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/magnetic-fields", "translated_standalone_title": "Discovery of magnetic fields", "translated_title": "Discovery of magnetic fields", "gplus_url": "", "id": "xb185bc17", "old_key_name": null, "hide": false, "title": "Discovery of magnetic fields", "child_data": [{"kind": "Video", "id": "xff3c4c1d"}, {"kind": "Video", "id": "x9e70b5b4"}, {"kind": "Scratchpad", "id": 1587803214}, {"kind": "Video", "id": 1358966554}, {"kind": "Scratchpad", "id": 1523498705}, {"kind": "Scratchpad", "id": 1518316573}, {"kind": "Scratchpad", "id": 1595281509}, {"kind": "Video", "id": "x11cae0c8"}, {"kind": "Video", "id": "xab2c2419"}, {"kind": "Article", "id": "x4dd7ffa9"}], "children": [{"translated_youtube_id": "SysHZ6-yai0", "relative_url": "/video/magnet-near-compass", "has_questions": false, "keywords": "magnets", "ka_url": "http://www.khanacademy.org/video/magnet-near-compass", "duration": 65, "translated_title": "Magnet near compass", "translated_description_html": "

Exploring the effect of a permanent magnet on compass. What is going on?<\/p>\n", "id": "xff3c4c1d", "description_html": "

Exploring the effect of a permanent magnet on compass. What is going on?<\/p>\n", "title": "Magnet near compass", "progress_key": "vxff3c4c1d", "edit_slug": "edit/v/xff3c4c1d", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring the effect of a permanent magnet on compass. What is going on?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/magnet-near-compass", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-26T15:39:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SysHZ6-yai0.mp4/SysHZ6-yai0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SysHZ6-yai0.mp4/SysHZ6-yai0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SysHZ6-yai0.m3u8/SysHZ6-yai0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SysHZ6-yai0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxff3c4c1d", "sha": "c0f5a29ed75269c56a39cc7b099572f617393be8", "translated_description": "Exploring the effect of a permanent magnet on compass. What is going on?\n", "image_url": "https://img.youtube.com/vi/SysHZ6-yai0/hqdefault.jpg", "youtube_id": "SysHZ6-yai0", "content_kind": "Video", "readable_id": "magnet-near-compass"}, {"translated_youtube_id": "x2V_Lz6AWEk", "relative_url": "/video/tracing-magnetic-field", "has_questions": false, "keywords": "magnetic field", "ka_url": "http://www.khanacademy.org/video/tracing-magnetic-field", "duration": 29, "translated_title": "Tracing a magnetic field", "translated_description_html": "

A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?<\/p>\n", "id": "x9e70b5b4", "description_html": "

A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?<\/p>\n", "title": "Tracing a magnetic field", "progress_key": "vx9e70b5b4", "edit_slug": "edit/v/x9e70b5b4", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/tracing-magnetic-field", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2013-04-26T15:39:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x2V_Lz6AWEk.mp4/x2V_Lz6AWEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x2V_Lz6AWEk.mp4/x2V_Lz6AWEk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x2V_Lz6AWEk.m3u8/x2V_Lz6AWEk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x2V_Lz6AWEk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9e70b5b4", "sha": "392ad45e27095fe23625cda56cad9d095fdd55a6", "translated_description": "A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?\n", "image_url": "https://img.youtube.com/vi/x2V_Lz6AWEk/hqdefault.jpg", "youtube_id": "x2V_Lz6AWEk", "content_kind": "Video", "readable_id": "tracing-magnetic-field"}, {"translated_youtube_id": "EHLRl2D6zyE", "relative_url": "/video/discovery-of-magnetic-fields", "has_questions": false, "keywords": "magnetic fields, magnets", "ka_url": "http://www.khanacademy.org/video/discovery-of-magnetic-fields", "duration": 67, "translated_title": "Discovery of magnetic fields", "translated_description_html": "

magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?<\/p>\n", "id": "1358966554", "description_html": "

magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?<\/p>\n", "title": "Discovery of magnetic fields", "progress_key": "v1358966554", "edit_slug": "edit/v/1358966554", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-of-magnetic-fields", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-07T19:20:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EHLRl2D6zyE.mp4/EHLRl2D6zyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EHLRl2D6zyE.mp4/EHLRl2D6zyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EHLRl2D6zyE.m3u8/EHLRl2D6zyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EHLRl2D6zyE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1358966554", "sha": "5a6dd9fa68528407e9f73b607bb52e2f968c1fc7", "translated_description": "magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?\n", "image_url": "https://img.youtube.com/vi/EHLRl2D6zyE/hqdefault.jpg", "youtube_id": "EHLRl2D6zyE", "content_kind": "Video", "readable_id": "discovery-of-magnetic-fields"}, {"translated_youtube_id": "WxgNAsiOXY4", "relative_url": "/video/magnetic-permeability", "has_questions": false, "keywords": "permability", "ka_url": "http://www.khanacademy.org/video/magnetic-permeability", "duration": 123, "translated_title": "Magnetic permeability", "translated_description_html": "

What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?<\/p>\n", "id": "x11cae0c8", "description_html": "

What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?<\/p>\n", "title": "Magnetic permeability", "progress_key": "vx11cae0c8", "edit_slug": "edit/v/x11cae0c8", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/magnetic-permeability", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-04-20T15:47:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WxgNAsiOXY4.mp4/WxgNAsiOXY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WxgNAsiOXY4.mp4/WxgNAsiOXY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WxgNAsiOXY4.m3u8/WxgNAsiOXY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WxgNAsiOXY4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx11cae0c8", "sha": "7f3c4fbdaee1b2fb6b59a86abd351eb9bc4067d8", "translated_description": "What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?\n", "image_url": "https://img.youtube.com/vi/WxgNAsiOXY4/hqdefault.jpg", "youtube_id": "WxgNAsiOXY4", "content_kind": "Video", "readable_id": "magnetic-permeability"}, {"translated_youtube_id": "mi5cWPjhJ2c", "relative_url": "/video/increase-strength-of-magnet", "has_questions": false, "keywords": "permability", "ka_url": "http://www.khanacademy.org/video/increase-strength-of-magnet", "duration": 55, "translated_title": "Increase strength of magnet", "translated_description_html": "

How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?<\/p>\n", "id": "xab2c2419", "description_html": "

How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?<\/p>\n", "title": "Increase strength of magnet", "progress_key": "vxab2c2419", "edit_slug": "edit/v/xab2c2419", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/increase-strength-of-magnet", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mi5cWPjhJ2c.mp4/mi5cWPjhJ2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mi5cWPjhJ2c.mp4/mi5cWPjhJ2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mi5cWPjhJ2c.m3u8/mi5cWPjhJ2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mi5cWPjhJ2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxab2c2419", "sha": "1d34d691fdfad4063860d6851b7e8c31844e1b4c", "translated_description": "How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?\n", "image_url": "https://img.youtube.com/vi/mi5cWPjhJ2c/hqdefault.jpg", "youtube_id": "mi5cWPjhJ2c", "content_kind": "Video", "readable_id": "increase-strength-of-magnet"}], "twitter_url": "", "translated_description": "Let's find out more about this invisible force which guides the compass. How strong is it? What shape is it?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Let's find out more about this invisible force which guides the compass. How strong is it? What shape is it?", "x_pos": 0.0, "node_slug": "magnetic-fields", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb185bc17", "topic_page_url": "/science/discoveries-projects/discoveries/magnetic-fields", "extended_slug": "science/discoveries-projects/discoveries/magnetic-fields", "slug": "magnetic-fields", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b7bc79204ffdbc526cb78764583bab4b1a2c2430", "standalone_title": "Discovery of magnetic fields", "y_pos": 0.0, "current_revision_key": "b7bc79204ffdbc526cb78764583bab4b1a2c2430", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/measure-magnets", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/measure-magnets", "translated_standalone_title": "New Topic", "translated_title": "Measuring magnetic fields", "gplus_url": "", "id": "x4742f4bf", "old_key_name": null, "hide": false, "title": "Measuring magnetic fields", "child_data": [{"kind": "Video", "id": "x9714c12d"}, {"kind": "Article", "id": "x1d905590"}, {"kind": "Video", "id": "x30ddcb03"}, {"kind": "Article", "id": "xb7bc606f"}, {"kind": "Video", "id": "x745d92d5"}, {"kind": "Scratchpad", "id": 1602393745}, {"kind": "Video", "id": "x71cf0746"}], "children": [{"translated_youtube_id": "A_ToB9T-de8", "relative_url": "/video/are-two-magnets-stronger-than-one", "has_questions": false, "keywords": "magnetic force", "ka_url": "http://www.khanacademy.org/video/are-two-magnets-stronger-than-one", "duration": 37, "translated_title": "Are 2 magnets stronger than 1?", "translated_description_html": "Will the power of two magnets stuck together increase the overall force? Why?", "id": "x9714c12d", "description_html": "Will the power of two magnets stuck together increase the overall force? Why?", "title": "Are 2 magnets stronger than 1?", "progress_key": "vx9714c12d", "edit_slug": "edit/v/x9714c12d", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Will the power of two magnets stuck together increase the overall force? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/are-two-magnets-stronger-than-one", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A_ToB9T-de8.mp4/A_ToB9T-de8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A_ToB9T-de8.mp4/A_ToB9T-de8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A_ToB9T-de8.m3u8/A_ToB9T-de8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A_ToB9T-de8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9714c12d", "sha": "414e2569a65551dda378bed9d74db4b1917a754c", "translated_description": "Will the power of two magnets stuck together increase the overall force? Why?", "image_url": "https://img.youtube.com/vi/A_ToB9T-de8/hqdefault.jpg", "youtube_id": "A_ToB9T-de8", "content_kind": "Video", "readable_id": "are-two-magnets-stronger-than-one"}, {"translated_youtube_id": "5K8U9QOj_TE", "relative_url": "/video/earth-s-magnetic-field-", "has_questions": false, "keywords": "Earth's magnetic field", "ka_url": "http://www.khanacademy.org/video/earth-s-magnetic-field-", "duration": 77, "translated_title": "Earth's magnetic field (how to measure)", "translated_description_html": "How can we describe the strength of the Earth's magnetic field using a magnet and a compass? What does this tell us?", "id": "x30ddcb03", "description_html": "How can we describe the strength of the Earth's magnetic field using a magnet and a compass? What does this tell us?", "title": "Earth's magnetic field (how to measure)", "progress_key": "vx30ddcb03", "edit_slug": "edit/v/x30ddcb03", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How can we describe the strength of the Earth's magnetic field using a magnet and a compass? What does this tell us?", "extra_properties": {"original_url": ""}, "node_slug": "v/earth-s-magnetic-field-", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5K8U9QOj_TE.mp4/5K8U9QOj_TE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5K8U9QOj_TE.mp4/5K8U9QOj_TE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5K8U9QOj_TE.m3u8/5K8U9QOj_TE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5K8U9QOj_TE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx30ddcb03", "sha": "90dad942c2f76e52b43ef7a9d7c5ce4c6746a41b", "translated_description": "How can we describe the strength of the Earth's magnetic field using a magnet and a compass? What does this tell us?", "image_url": "https://img.youtube.com/vi/5K8U9QOj_TE/hqdefault.jpg", "youtube_id": "5K8U9QOj_TE", "content_kind": "Video", "readable_id": "earth-s-magnetic-field-"}, {"translated_youtube_id": "1NjuXzHByN8", "relative_url": "/video/inverse-square-law--deflection-method", "has_questions": false, "keywords": "inverse square law", "ka_url": "http://www.khanacademy.org/video/inverse-square-law--deflection-method", "duration": 107, "translated_title": "Inverse cube law (deflection method)", "translated_description_html": "

Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?<\/p>\n", "id": "x745d92d5", "description_html": "

Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?<\/p>\n", "title": "Inverse cube law (deflection method)", "progress_key": "vx745d92d5", "edit_slug": "edit/v/x745d92d5", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/inverse-square-law--deflection-method", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1NjuXzHByN8.mp4/1NjuXzHByN8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1NjuXzHByN8.mp4/1NjuXzHByN8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1NjuXzHByN8.m3u8/1NjuXzHByN8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1NjuXzHByN8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx745d92d5", "sha": "6ddfbaf671976e8de320b5e57071d808b017590b", "translated_description": "Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?\n", "image_url": "https://img.youtube.com/vi/1NjuXzHByN8/hqdefault.jpg", "youtube_id": "1NjuXzHByN8", "content_kind": "Video", "readable_id": "inverse-square-law--deflection-method"}, {"translated_youtube_id": "2uzDuGp0HQ0", "relative_url": "/video/inverse-square-law--method-of-oscillation", "has_questions": false, "keywords": "inverse square", "ka_url": "http://www.khanacademy.org/video/inverse-square-law--method-of-oscillation", "duration": 128, "translated_title": "Inverse cube law (method of oscillation)", "translated_description_html": "

Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?<\/p>\n", "id": "x71cf0746", "description_html": "

Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?<\/p>\n", "title": "Inverse cube law (method of oscillation)", "progress_key": "vx71cf0746", "edit_slug": "edit/v/x71cf0746", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/inverse-square-law--method-of-oscillation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2uzDuGp0HQ0.mp4/2uzDuGp0HQ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2uzDuGp0HQ0.mp4/2uzDuGp0HQ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2uzDuGp0HQ0.m3u8/2uzDuGp0HQ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2uzDuGp0HQ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx71cf0746", "sha": "32344217219c2b693d9acee955127b4820301e03", "translated_description": "Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?\n", "image_url": "https://img.youtube.com/vi/2uzDuGp0HQ0/hqdefault.jpg", "youtube_id": "2uzDuGp0HQ0", "content_kind": "Video", "readable_id": "inverse-square-law--method-of-oscillation"}], "twitter_url": "", "translated_description": "How can we quantify the strength of magnetic fields? How strong is the Earth's field?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How can we quantify the strength of magnetic fields? How strong is the Earth's field?", "x_pos": 0.0, "node_slug": "measure-magnets", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4742f4bf", "topic_page_url": "/science/discoveries-projects/discoveries/measure-magnets", "extended_slug": "science/discoveries-projects/discoveries/measure-magnets", "slug": "measure-magnets", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "023d2fe2842ef27aa8f74a975ddbed75e3c913d5", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "023d2fe2842ef27aa8f74a975ddbed75e3c913d5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/batteries", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/batteries", "translated_standalone_title": "Batteries", "translated_title": "Discovery of batteries", "gplus_url": "", "id": "x0e9c6822", "old_key_name": "O76ay6J61asrLSd3MCZ2zy0MepITpyYmosfSBIua", "hide": false, "title": "Discovery of batteries", "child_data": [{"kind": "Video", "id": 1391800125}, {"kind": "Article", "id": "x68e2e317"}, {"kind": "Video", "id": "xe4893edf"}, {"kind": "Scratchpad", "id": 1615491611}, {"kind": "Video", "id": "x27a6f4f3"}, {"kind": "Video", "id": "xa8e7dc8b"}, {"kind": "Video", "id": "xf8b42f93"}, {"kind": "Video", "id": "xe57d9753"}, {"kind": "Video", "id": "x84c1fb3d"}, {"kind": "Video", "id": "xca214ba1"}, {"kind": "Video", "id": "xdc76588c"}, {"kind": "Video", "id": "x6189e926"}, {"kind": "Video", "id": "xb94b6e87"}, {"kind": "Article", "id": 1432396761}], "children": [{"translated_youtube_id": "7rkx7B990HI", "relative_url": "/video/zinc-copper-cell--reduction-oxidation", "has_questions": false, "keywords": "redox, zinc copper, battery", "ka_url": "http://www.khanacademy.org/video/zinc-copper-cell--reduction-oxidation", "duration": 65, "translated_title": "Zinc copper cell (reduction-oxidation)", "translated_description_html": "Zinc Copper cell - example of reduction-oxidation reaction", "id": "1391800125", "description_html": "Zinc Copper cell - example of reduction-oxidation reaction", "title": "Zinc copper cell (reduction-oxidation)", "progress_key": "v1391800125", "edit_slug": "edit/v/1391800125", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Zinc Copper cell - example of reduction-oxidation reaction", "extra_properties": {"original_url": ""}, "node_slug": "v/zinc-copper-cell--reduction-oxidation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-19T07:01:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7rkx7B990HI.mp4/7rkx7B990HI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7rkx7B990HI.mp4/7rkx7B990HI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7rkx7B990HI.m3u8/7rkx7B990HI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7rkx7B990HI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1391800125", "sha": "1bfbd2e504a06632970df365d179bb063734c7e9", "translated_description": "Zinc Copper cell - example of reduction-oxidation reaction", "image_url": "https://img.youtube.com/vi/7rkx7B990HI/hqdefault.jpg", "youtube_id": "7rkx7B990HI", "content_kind": "Video", "readable_id": "zinc-copper-cell--reduction-oxidation"}, {"translated_youtube_id": "S6_7zk_Ht_g", "relative_url": "/video/battery-meter--galvanometer", "has_questions": false, "keywords": "galvanometer", "ka_url": "http://www.khanacademy.org/video/battery-meter--galvanometer", "duration": 50, "translated_title": "Battery meter (galvanometer)", "translated_description_html": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "id": "xe4893edf", "description_html": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "title": "Battery meter (galvanometer)", "progress_key": "vxe4893edf", "edit_slug": "edit/v/xe4893edf", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "extra_properties": {"original_url": ""}, "node_slug": "v/battery-meter--galvanometer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-20T15:47:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.mp4/S6_7zk_Ht_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.mp4/S6_7zk_Ht_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.m3u8/S6_7zk_Ht_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S6_7zk_Ht_g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe4893edf", "sha": "9f4871af937c2dcab9c99bb678dd66b50c8affb2", "translated_description": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "image_url": "https://img.youtube.com/vi/S6_7zk_Ht_g/hqdefault.jpg", "youtube_id": "S6_7zk_Ht_g", "content_kind": "Video", "readable_id": "battery-meter--galvanometer"}, {"translated_youtube_id": "E4WYJC85UQk", "relative_url": "/video/electrolyte-test--pure-water-vs--vinegr", "has_questions": false, "keywords": "battery", "ka_url": "http://www.khanacademy.org/video/electrolyte-test--pure-water-vs--vinegr", "duration": 83, "translated_title": "Electrolyte test (pure water vs. vinegar)", "translated_description_html": "First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?", "id": "x27a6f4f3", "description_html": "First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?", "title": "Electrolyte test (pure water vs. vinegar)", "progress_key": "vx27a6f4f3", "edit_slug": "edit/v/x27a6f4f3", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrolyte-test--pure-water-vs--vinegr", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-04-20T15:47:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E4WYJC85UQk.mp4/E4WYJC85UQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E4WYJC85UQk.mp4/E4WYJC85UQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E4WYJC85UQk.m3u8/E4WYJC85UQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E4WYJC85UQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx27a6f4f3", "sha": "00352ef84c393131b9cfca953ef9547f0b5a85d8", "translated_description": "First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?", "image_url": "https://img.youtube.com/vi/E4WYJC85UQk/hqdefault.jpg", "youtube_id": "E4WYJC85UQk", "content_kind": "Video", "readable_id": "electrolyte-test--pure-water-vs--vinegr"}, {"translated_youtube_id": "3iNCb7P_bdY", "relative_url": "/video/reverse-polarity", "has_questions": false, "keywords": "polarity", "ka_url": "http://www.khanacademy.org/video/reverse-polarity", "duration": 83, "translated_title": "Reverse electrodes (polarity)", "translated_description_html": "What happens to the deflection when we attach the penny and zinc in the opposite direction?", "id": "xa8e7dc8b", "description_html": "What happens to the deflection when we attach the penny and zinc in the opposite direction?", "title": "Reverse electrodes (polarity)", "progress_key": "vxa8e7dc8b", "edit_slug": "edit/v/xa8e7dc8b", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens to the deflection when we attach the penny and zinc in the opposite direction?", "extra_properties": {"original_url": ""}, "node_slug": "v/reverse-polarity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-20T15:46:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3iNCb7P_bdY.mp4/3iNCb7P_bdY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3iNCb7P_bdY.mp4/3iNCb7P_bdY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3iNCb7P_bdY.m3u8/3iNCb7P_bdY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3iNCb7P_bdY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa8e7dc8b", "sha": "b027df6a93cc7242817af8e138ff27481b9a0141", "translated_description": "What happens to the deflection when we attach the penny and zinc in the opposite direction?", "image_url": "https://img.youtube.com/vi/3iNCb7P_bdY/hqdefault.jpg", "youtube_id": "3iNCb7P_bdY", "content_kind": "Video", "readable_id": "reverse-polarity"}, {"translated_youtube_id": "GKohvH75Mqg", "relative_url": "/video/electrolyte--strong-acid-test", "has_questions": false, "keywords": "strong acid", "ka_url": "http://www.khanacademy.org/video/electrolyte--strong-acid-test", "duration": 44, "translated_title": "Electrolyte (strong acid test)", "translated_description_html": "Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)", "id": "xf8b42f93", "description_html": "Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)", "title": "Electrolyte (strong acid test)", "progress_key": "vxf8b42f93", "edit_slug": "edit/v/xf8b42f93", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)", "extra_properties": {"original_url": ""}, "node_slug": "v/electrolyte--strong-acid-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-20T15:47:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GKohvH75Mqg.mp4/GKohvH75Mqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GKohvH75Mqg.mp4/GKohvH75Mqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GKohvH75Mqg.m3u8/GKohvH75Mqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GKohvH75Mqg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf8b42f93", "sha": "97d8c1df8bed9858e7bff8cb6853afbb07f669fe", "translated_description": "Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)", "image_url": "https://img.youtube.com/vi/GKohvH75Mqg/hqdefault.jpg", "youtube_id": "GKohvH75Mqg", "content_kind": "Video", "readable_id": "electrolyte--strong-acid-test"}, {"translated_youtube_id": "6U9f8Q3Y_SY", "relative_url": "/video/electrolyte--salt-test", "has_questions": false, "keywords": "electrolye", "ka_url": "http://www.khanacademy.org/video/electrolyte--salt-test", "duration": 64, "translated_title": "Electrolyte (salt test)", "translated_description_html": "What happens to the deflection when we add salt to an electrolyte? Why?", "id": "xe57d9753", "description_html": "What happens to the deflection when we add salt to an electrolyte? Why?", "title": "Electrolyte (salt test)", "progress_key": "vxe57d9753", "edit_slug": "edit/v/xe57d9753", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens to the deflection when we add salt to an electrolyte? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrolyte--salt-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-20T15:47:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6U9f8Q3Y_SY.mp4/6U9f8Q3Y_SY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6U9f8Q3Y_SY.mp4/6U9f8Q3Y_SY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6U9f8Q3Y_SY.m3u8/6U9f8Q3Y_SY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6U9f8Q3Y_SY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe57d9753", "sha": "36d6995b9cfc0841df5f56974ba56c55f73155d8", "translated_description": "What happens to the deflection when we add salt to an electrolyte? Why?", "image_url": "https://img.youtube.com/vi/6U9f8Q3Y_SY/hqdefault.jpg", "youtube_id": "6U9f8Q3Y_SY", "content_kind": "Video", "readable_id": "electrolyte--salt-test"}, {"translated_youtube_id": "e3XNXl_6NSg", "relative_url": "/video/electrode-distance-test", "has_questions": false, "keywords": "electrode distance", "ka_url": "http://www.khanacademy.org/video/electrode-distance-test", "duration": 66, "translated_title": "Electrode (distance test)", "translated_description_html": "Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?", "id": "x84c1fb3d", "description_html": "Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?", "title": "Electrode (distance test)", "progress_key": "vx84c1fb3d", "edit_slug": "edit/v/x84c1fb3d", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrode-distance-test", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-04-20T15:46:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e3XNXl_6NSg.mp4/e3XNXl_6NSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e3XNXl_6NSg.mp4/e3XNXl_6NSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e3XNXl_6NSg.m3u8/e3XNXl_6NSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e3XNXl_6NSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx84c1fb3d", "sha": "0e29fc2ea02ecd57a1ed20d8cb55956bd8116ad7", "translated_description": "Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?", "image_url": "https://img.youtube.com/vi/e3XNXl_6NSg/hqdefault.jpg", "youtube_id": "e3XNXl_6NSg", "content_kind": "Video", "readable_id": "electrode-distance-test"}, {"translated_youtube_id": "6bsu9w9iIQY", "relative_url": "/video/electrolye--temperature-test", "has_questions": false, "keywords": "electrolyte", "ka_url": "http://www.khanacademy.org/video/electrolye--temperature-test", "duration": 97, "translated_title": "Electrolyte (temperature test)", "translated_description_html": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "id": "xca214ba1", "description_html": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "title": "Electrolyte (temperature test)", "progress_key": "vxca214ba1", "edit_slug": "edit/v/xca214ba1", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrolye--temperature-test", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-20T15:47:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.mp4/6bsu9w9iIQY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.mp4/6bsu9w9iIQY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6bsu9w9iIQY.m3u8/6bsu9w9iIQY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6bsu9w9iIQY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxca214ba1", "sha": "a5be6c87ed86735bb59dd78c223e415427b86617", "translated_description": "Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?", "image_url": "https://img.youtube.com/vi/6bsu9w9iIQY/hqdefault.jpg", "youtube_id": "6bsu9w9iIQY", "content_kind": "Video", "readable_id": "electrolye--temperature-test"}, {"translated_youtube_id": "w6AWQb3r9o8", "relative_url": "/video/electrode-surface-area", "has_questions": false, "keywords": "surface area", "ka_url": "http://www.khanacademy.org/video/electrode-surface-area", "duration": 67, "translated_title": "Electrode (surface area test)", "translated_description_html": "What's the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?", "id": "xdc76588c", "description_html": "What's the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?", "title": "Electrode (surface area test)", "progress_key": "vxdc76588c", "edit_slug": "edit/v/xdc76588c", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What's the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/electrode-surface-area", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2013-04-20T15:46:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w6AWQb3r9o8.mp4/w6AWQb3r9o8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w6AWQb3r9o8.mp4/w6AWQb3r9o8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w6AWQb3r9o8.m3u8/w6AWQb3r9o8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w6AWQb3r9o8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdc76588c", "sha": "aa2b656e334a8e6633f7a038714ebb5cbd12ba59", "translated_description": "What's the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?", "image_url": "https://img.youtube.com/vi/w6AWQb3r9o8/hqdefault.jpg", "youtube_id": "w6AWQb3r9o8", "content_kind": "Video", "readable_id": "electrode-surface-area"}, {"translated_youtube_id": "Nue0DINMRPM", "relative_url": "/video/standard-cell", "has_questions": false, "keywords": "battery", "ka_url": "http://www.khanacademy.org/video/standard-cell", "duration": 69, "translated_title": "Standard cell", "translated_description_html": "Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?", "id": "x6189e926", "description_html": "Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?", "title": "Standard cell", "progress_key": "vx6189e926", "edit_slug": "edit/v/x6189e926", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?", "extra_properties": {"original_url": ""}, "node_slug": "v/standard-cell", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-04-20T15:47:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nue0DINMRPM.mp4/Nue0DINMRPM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nue0DINMRPM.mp4/Nue0DINMRPM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nue0DINMRPM.m3u8/Nue0DINMRPM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nue0DINMRPM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6189e926", "sha": "cb7b0e1b46227a33beb416560a36046ca21db979", "translated_description": "Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?", "image_url": "https://img.youtube.com/vi/Nue0DINMRPM/hqdefault.jpg", "youtube_id": "Nue0DINMRPM", "content_kind": "Video", "readable_id": "standard-cell"}, {"translated_youtube_id": "PI01CwKmiZE", "relative_url": "/video/how-much-electrolyte-does-a-single-cell-need", "has_questions": false, "keywords": "batteries", "ka_url": "http://www.khanacademy.org/video/how-much-electrolyte-does-a-single-cell-need", "duration": 40, "translated_title": "How much electrolyte does a single cell need?", "translated_description_html": "Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?", "id": "xb94b6e87", "description_html": "Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?", "title": "How much electrolyte does a single cell need?", "progress_key": "vxb94b6e87", "edit_slug": "edit/v/xb94b6e87", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?", "extra_properties": {"original_url": ""}, "node_slug": "v/how-much-electrolyte-does-a-single-cell-need", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-04-26T16:04:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PI01CwKmiZE.mp4/PI01CwKmiZE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PI01CwKmiZE.mp4/PI01CwKmiZE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PI01CwKmiZE.m3u8/PI01CwKmiZE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PI01CwKmiZE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb94b6e87", "sha": "78fe69ab72bfdb6ad16785edb584b16810c7d003", "translated_description": "Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?", "image_url": "https://img.youtube.com/vi/PI01CwKmiZE/hqdefault.jpg", "youtube_id": "PI01CwKmiZE", "content_kind": "Video", "readable_id": "how-much-electrolyte-does-a-single-cell-need"}], "twitter_url": "", "translated_description": "Basic observations leading to homemade batteries", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Basic observations leading to homemade batteries", "x_pos": 0.0, "node_slug": "batteries", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0e9c6822", "topic_page_url": "/science/discoveries-projects/discoveries/batteries", "extended_slug": "science/discoveries-projects/discoveries/batteries", "slug": "batteries", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "885a2c7e108fa32437e4c0067bc9cd9631ec367a", "standalone_title": "Batteries", "y_pos": 0.0, "current_revision_key": "885a2c7e108fa32437e4c0067bc9cd9631ec367a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/Electromagnet", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/Electromagnet", "translated_standalone_title": "Electromagnet", "translated_title": "Discovery of electromagnetism", "gplus_url": "", "id": "xef5bd47f", "old_key_name": "XrG5ONjQU8mGhLuCjrvrH2pcOS2frPoqN0kjcXof", "hide": false, "title": "Discovery of electromagnetism", "child_data": [{"kind": "Video", "id": 1360256658}, {"kind": "Article", "id": 1397130943}, {"kind": "Video", "id": "x03a17a1c"}, {"kind": "Video", "id": "x8a55734d"}, {"kind": "Video", "id": 1360457116}, {"kind": "Article", "id": 1397331287}, {"kind": "Video", "id": "xe4893edf"}], "children": [{"translated_youtube_id": "Cz7V7QoD1LA", "relative_url": "/video/discovery-of-electromagnetism", "has_questions": false, "keywords": "electromagnetism", "ka_url": "http://www.khanacademy.org/video/discovery-of-electromagnetism", "duration": 41, "translated_title": "Discovery of electromagnetism", "translated_description_html": "Hans Christian Ørsted made this famous observation in 1819.", "id": "1360256658", "description_html": "Hans Christian Ørsted made this famous observation in 1819.", "title": "Discovery of electromagnetism", "progress_key": "v1360256658", "edit_slug": "edit/v/1360256658", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hans Christian Ørsted made this famous observation in 1819.", "extra_properties": null, "node_slug": "v/discovery-of-electromagnetism", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2013-02-08T02:06:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cz7V7QoD1LA.mp4/Cz7V7QoD1LA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cz7V7QoD1LA.mp4/Cz7V7QoD1LA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cz7V7QoD1LA.m3u8/Cz7V7QoD1LA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Cz7V7QoD1LA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1360256658", "sha": "42bfc8e79e3358f87519b71c60fd3defc9989ab3", "translated_description": "Hans Christian Ørsted made this famous observation in 1819.", "image_url": "https://img.youtube.com/vi/Cz7V7QoD1LA/hqdefault.jpg", "youtube_id": "Cz7V7QoD1LA", "content_kind": "Video", "readable_id": "discovery-of-electromagnetism"}, {"translated_youtube_id": "POrFhETplGs", "relative_url": "/video/electromagnetic-field--above-vs--below", "has_questions": false, "keywords": "electromagnetism", "ka_url": "http://www.khanacademy.org/video/electromagnetic-field--above-vs--below", "duration": 27, "translated_title": "Electromagnetic field (above vs. below)", "translated_description_html": "Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?", "id": "x03a17a1c", "description_html": "Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?", "title": "Electromagnetic field (above vs. below)", "progress_key": "vx03a17a1c", "edit_slug": "edit/v/x03a17a1c", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?", "extra_properties": {"original_url": ""}, "node_slug": "v/electromagnetic-field--above-vs--below", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2013-05-03T13:24:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/POrFhETplGs.mp4/POrFhETplGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/POrFhETplGs.mp4/POrFhETplGs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/POrFhETplGs.m3u8/POrFhETplGs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=POrFhETplGs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03a17a1c", "sha": "de4748d5a283c66797483d80cfeb3671fafdc7be", "translated_description": "Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?", "image_url": "https://img.youtube.com/vi/POrFhETplGs/hqdefault.jpg", "youtube_id": "POrFhETplGs", "content_kind": "Video", "readable_id": "electromagnetic-field--above-vs--below"}, {"translated_youtube_id": "x-6yMjpsqJU", "relative_url": "/video/electromagnetic-field--forward-vs--reverse", "has_questions": false, "keywords": "right hand rule test", "ka_url": "http://www.khanacademy.org/video/electromagnetic-field--forward-vs--reverse", "duration": 35, "translated_title": "Electromagnetic field (forward vs. reverse)", "translated_description_html": "Apply current in both directions and notice the response is different.", "id": "x8a55734d", "description_html": "Apply current in both directions and notice the response is different.", "title": "Electromagnetic field (forward vs. reverse)", "progress_key": "vx8a55734d", "edit_slug": "edit/v/x8a55734d", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Apply current in both directions and notice the response is different.", "extra_properties": {"original_url": ""}, "node_slug": "v/electromagnetic-field--forward-vs--reverse", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-05-02T03:38:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x-6yMjpsqJU.mp4/x-6yMjpsqJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x-6yMjpsqJU.mp4/x-6yMjpsqJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x-6yMjpsqJU.m3u8/x-6yMjpsqJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x-6yMjpsqJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8a55734d", "sha": "d69db70aebf00ecc94c8722ea4be7001d9deefed", "translated_description": "Apply current in both directions and notice the response is different.", "image_url": "https://img.youtube.com/vi/x-6yMjpsqJU/hqdefault.jpg", "youtube_id": "x-6yMjpsqJU", "content_kind": "Video", "readable_id": "electromagnetic-field--forward-vs--reverse"}, {"translated_youtube_id": "d22BeBhk1nY", "relative_url": "/video/primitive-electric-motor", "has_questions": false, "keywords": "electric motor", "ka_url": "http://www.khanacademy.org/video/primitive-electric-motor", "duration": 72, "translated_title": "Electromagnetic field (loop)", "translated_description_html": "Applying current in various directions to a single loop of wire. Primitive electric motor?", "id": "1360457116", "description_html": "Applying current in various directions to a single loop of wire. Primitive electric motor?", "title": "Electromagnetic field (loop)", "progress_key": "v1360457116", "edit_slug": "edit/v/1360457116", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Applying current in various directions to a single loop of wire. Primitive electric motor?", "extra_properties": null, "node_slug": "v/primitive-electric-motor", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-08T02:13:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d22BeBhk1nY.mp4/d22BeBhk1nY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d22BeBhk1nY.mp4/d22BeBhk1nY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d22BeBhk1nY.m3u8/d22BeBhk1nY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d22BeBhk1nY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1360457116", "sha": "b50197509d47160c8ad84b215d3aee869aee1b4a", "translated_description": "Applying current in various directions to a single loop of wire. Primitive electric motor?", "image_url": "https://img.youtube.com/vi/d22BeBhk1nY/hqdefault.jpg", "youtube_id": "d22BeBhk1nY", "content_kind": "Video", "readable_id": "primitive-electric-motor"}, {"translated_youtube_id": "S6_7zk_Ht_g", "relative_url": "/video/battery-meter--galvanometer", "has_questions": false, "keywords": "galvanometer", "ka_url": "http://www.khanacademy.org/video/battery-meter--galvanometer", "duration": 50, "translated_title": "Battery meter (galvanometer)", "translated_description_html": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "id": "xe4893edf", "description_html": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "title": "Battery meter (galvanometer)", "progress_key": "vxe4893edf", "edit_slug": "edit/v/xe4893edf", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "extra_properties": {"original_url": ""}, "node_slug": "v/battery-meter--galvanometer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-20T15:47:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.mp4/S6_7zk_Ht_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.mp4/S6_7zk_Ht_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S6_7zk_Ht_g.m3u8/S6_7zk_Ht_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S6_7zk_Ht_g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe4893edf", "sha": "9f4871af937c2dcab9c99bb678dd66b50c8affb2", "translated_description": "Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?", "image_url": "https://img.youtube.com/vi/S6_7zk_Ht_g/hqdefault.jpg", "youtube_id": "S6_7zk_Ht_g", "content_kind": "Video", "readable_id": "battery-meter--galvanometer"}], "twitter_url": "", "translated_description": "Discoveries leading to the Right Hand rule", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Discoveries leading to the Right Hand rule", "x_pos": 0.0, "node_slug": "Electromagnet", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef5bd47f", "topic_page_url": "/science/discoveries-projects/discoveries/Electromagnet", "extended_slug": "science/discoveries-projects/discoveries/Electromagnet", "slug": "Electromagnet", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "04c3ea460ee492ad5959b88c144a6311b28a8c21", "standalone_title": "Electromagnet", "y_pos": 0.0, "current_revision_key": "04c3ea460ee492ad5959b88c144a6311b28a8c21", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/resistance", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/resistance", "translated_standalone_title": "resistance", "translated_title": "Discovery of resistors", "gplus_url": "", "id": "x181efea9", "old_key_name": "deBJeUXAW0Q_pVwsQ104RDyI3Z4xZUfYg_pY0eXO", "hide": false, "title": "Discovery of resistors", "child_data": [{"kind": "Video", "id": "x9996cd00"}, {"kind": "Video", "id": "x65642d70"}, {"kind": "Video", "id": "x90a40960"}, {"kind": "Video", "id": "x68c0a6e6"}, {"kind": "Article", "id": "x4792e8f8"}], "children": [{"translated_youtube_id": "ZjTS8dBsF4w", "relative_url": "/video/current-change-due-to-electromagnet--load", "has_questions": false, "keywords": "resistance, series", "ka_url": "http://www.khanacademy.org/video/current-change-due-to-electromagnet--load", "duration": 72, "translated_title": "Series load", "translated_description_html": "Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?", "id": "x9996cd00", "description_html": "Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?", "title": "Series load", "progress_key": "vx9996cd00", "edit_slug": "edit/v/x9996cd00", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?", "extra_properties": {"original_url": ""}, "node_slug": "v/current-change-due-to-electromagnet--load", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-04-20T15:46:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZjTS8dBsF4w.mp4/ZjTS8dBsF4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZjTS8dBsF4w.mp4/ZjTS8dBsF4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZjTS8dBsF4w.m3u8/ZjTS8dBsF4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZjTS8dBsF4w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9996cd00", "sha": "6028572325c71f412ca811ae7c35e8fffd4dc8e7", "translated_description": "Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?", "image_url": "https://img.youtube.com/vi/ZjTS8dBsF4w/hqdefault.jpg", "youtube_id": "ZjTS8dBsF4w", "content_kind": "Video", "readable_id": "current-change-due-to-electromagnet--load"}, {"translated_youtube_id": "Y8yga-UzFBY", "relative_url": "/video/pencil-resistor", "has_questions": false, "keywords": "resistor", "ka_url": "http://www.khanacademy.org/video/pencil-resistor", "duration": 64, "translated_title": "Pencil resistor", "translated_description_html": "A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?", "id": "x65642d70", "description_html": "A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?", "title": "Pencil resistor", "progress_key": "vx65642d70", "edit_slug": "edit/v/x65642d70", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?", "extra_properties": {"original_url": ""}, "node_slug": "v/pencil-resistor", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-04-23T00:46:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y8yga-UzFBY.mp4/Y8yga-UzFBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y8yga-UzFBY.mp4/Y8yga-UzFBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y8yga-UzFBY.m3u8/Y8yga-UzFBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y8yga-UzFBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx65642d70", "sha": "aee9f56dda90a8baf3af551fb52d8595c60db387", "translated_description": "A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?", "image_url": "https://img.youtube.com/vi/Y8yga-UzFBY/hqdefault.jpg", "youtube_id": "Y8yga-UzFBY", "content_kind": "Video", "readable_id": "pencil-resistor"}, {"translated_youtube_id": "EYlT-9KYPO0", "relative_url": "/video/variable-resistor--pencil", "has_questions": false, "keywords": "variable resistor", "ka_url": "http://www.khanacademy.org/video/variable-resistor--pencil", "duration": 88, "translated_title": "Variable resistor (pencil)", "translated_description_html": "We use the inside of a pencil (graphite) to apply different \"lengths of pencil\" to the circuit. What relationship do you observe between length of graphite and deflection angle?", "id": "x90a40960", "description_html": "We use the inside of a pencil (graphite) to apply different \"lengths of pencil\" to the circuit. What relationship do you observe between length of graphite and deflection angle?", "title": "Variable resistor (pencil)", "progress_key": "vx90a40960", "edit_slug": "edit/v/x90a40960", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "We use the inside of a pencil (graphite) to apply different \"lengths of pencil\" to the circuit. What relationship do you observe between length of graphite and deflection angle?", "extra_properties": {"original_url": ""}, "node_slug": "v/variable-resistor--pencil", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-04-23T00:46:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EYlT-9KYPO0.mp4/EYlT-9KYPO0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EYlT-9KYPO0.mp4/EYlT-9KYPO0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EYlT-9KYPO0.m3u8/EYlT-9KYPO0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EYlT-9KYPO0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx90a40960", "sha": "60c7d000ef71899f389f209321ba12b0b4a19777", "translated_description": "We use the inside of a pencil (graphite) to apply different \"lengths of pencil\" to the circuit. What relationship do you observe between length of graphite and deflection angle?", "image_url": "https://img.youtube.com/vi/EYlT-9KYPO0/hqdefault.jpg", "youtube_id": "EYlT-9KYPO0", "content_kind": "Video", "readable_id": "variable-resistor--pencil"}, {"translated_youtube_id": "LsvqEN3XVX4", "relative_url": "/video/listen-to-variable-resistance", "has_questions": false, "keywords": "variable resistor", "ka_url": "http://www.khanacademy.org/video/listen-to-variable-resistance", "duration": 71, "translated_title": "Listen to variable resistance", "translated_description_html": "Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?", "id": "x68c0a6e6", "description_html": "Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?", "title": "Listen to variable resistance", "progress_key": "vx68c0a6e6", "edit_slug": "edit/v/x68c0a6e6", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?", "extra_properties": {"original_url": ""}, "node_slug": "v/listen-to-variable-resistance", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2013-04-26T16:04:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LsvqEN3XVX4.mp4/LsvqEN3XVX4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LsvqEN3XVX4.mp4/LsvqEN3XVX4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LsvqEN3XVX4.m3u8/LsvqEN3XVX4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LsvqEN3XVX4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx68c0a6e6", "sha": "c2ef2caa2fd7945e833780e8e6545579c900bda9", "translated_description": "Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?", "image_url": "https://img.youtube.com/vi/LsvqEN3XVX4/hqdefault.jpg", "youtube_id": "LsvqEN3XVX4", "content_kind": "Video", "readable_id": "listen-to-variable-resistance"}], "twitter_url": "", "translated_description": "Exploring materials which cause a decrease in deflection when added in series with our meter.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Exploring materials which cause a decrease in deflection when added in series with our meter.", "x_pos": 0.0, "node_slug": "resistance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax181efea9", "topic_page_url": "/science/discoveries-projects/discoveries/resistance", "extended_slug": "science/discoveries-projects/discoveries/resistance", "slug": "resistance", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5cb55dba5db1b84cbcb70eb52437b3897f9a7da1", "standalone_title": "resistance", "y_pos": 0.0, "current_revision_key": "5cb55dba5db1b84cbcb70eb52437b3897f9a7da1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/electric_motor", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/electric_motor", "translated_standalone_title": "Electric Motor", "translated_title": "Electric motor", "gplus_url": "", "id": "x3d4fdccc", "old_key_name": "W_YmyTD5mG_PzcSZEjjaozCRUnH1KE1jqFPmPZYw", "hide": false, "title": "Electric motor", "child_data": [{"kind": "Video", "id": "x291987f1"}, {"kind": "Video", "id": 1116719782}, {"kind": "Article", "id": 1432567466}], "children": [{"translated_youtube_id": "BMvR86gG0Ew", "relative_url": "/video/motor-hd-youtube", "has_questions": false, "keywords": "compass motor", "ka_url": "http://www.khanacademy.org/video/motor-hd-youtube", "duration": 48, "translated_title": "Spinning compass", "translated_description_html": "By pulsing the connection to the battery we can cause a compass to spin. How is this working?", "id": "x291987f1", "description_html": "By pulsing the connection to the battery we can cause a compass to spin. How is this working?", "title": "Spinning compass", "progress_key": "vx291987f1", "edit_slug": "edit/v/x291987f1", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-10-03T16:03:33Z", "description": "By pulsing the connection to the battery we can cause a compass to spin. How is this working?", "extra_properties": {"original_url": ""}, "node_slug": "v/motor-hd-youtube", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2013-04-20T15:47:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BMvR86gG0Ew.mp4/BMvR86gG0Ew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BMvR86gG0Ew.mp4/BMvR86gG0Ew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BMvR86gG0Ew.m3u8/BMvR86gG0Ew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BMvR86gG0Ew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx291987f1", "sha": "0c8fee91fa701b53f98ddea5477127926b6328c3", "translated_description": "By pulsing the connection to the battery we can cause a compass to spin. How is this working?", "image_url": "https://img.youtube.com/vi/BMvR86gG0Ew/hqdefault.jpg", "youtube_id": "BMvR86gG0Ew", "content_kind": "Video", "readable_id": "motor-hd-youtube"}, {"translated_youtube_id": "jabo8iTesqQ", "relative_url": "/video/build-your-own-motor", "has_questions": false, "keywords": "Motor, build, brushes, projects with electricity", "ka_url": "http://www.khanacademy.org/video/build-your-own-motor", "duration": 439, "translated_title": "Build your own motor", "translated_description_html": "In this video we show you how to build a simple motor", "id": "1116719782", "description_html": "In this video we show you how to build a simple motor", "title": "Build your own motor", "progress_key": "v1116719782", "edit_slug": "edit/v/1116719782", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-10-03T16:03:33Z", "description": "In this video we show you how to build a simple motor", "extra_properties": null, "node_slug": "v/build-your-own-motor", "deleted": false, "backup_timestamp": "2013-09-28T01:22:43Z", "date_added": "2012-10-31T21:02:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jabo8iTesqQ.mp4/jabo8iTesqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jabo8iTesqQ.mp4/jabo8iTesqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jabo8iTesqQ.m3u8/jabo8iTesqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jabo8iTesqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1116719782", "sha": "97c6e80763078ea3795b82b0ac7869efa5a80831", "translated_description": "In this video we show you how to build a simple motor", "image_url": "https://img.youtube.com/vi/jabo8iTesqQ/hqdefault.jpg", "youtube_id": "jabo8iTesqQ", "content_kind": "Video", "readable_id": "build-your-own-motor"}], "twitter_url": "", "translated_description": "How can we turn electric current into rotational motion?", "deleted_mod_time": "2013-09-28T01:22:21Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How can we turn electric current into rotational motion?", "x_pos": 0.0, "node_slug": "electric_motor", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T01:22:43Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3d4fdccc", "topic_page_url": "/science/discoveries-projects/discoveries/electric_motor", "extended_slug": "science/discoveries-projects/discoveries/electric_motor", "slug": "electric_motor", "tags": ["electric%20motor", "motors"], "kind": "Topic", "in_topic_browser": false, "sha": "fa12647c825f4596ae5fe8ea2671d1cd211599f7", "standalone_title": "Electric Motor", "y_pos": 0.0, "current_revision_key": "fa12647c825f4596ae5fe8ea2671d1cd211599f7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discoveries/electrostatics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discoveries/electrostatics", "translated_standalone_title": "electrostatics", "translated_title": "Electrostatics", "gplus_url": "", "id": "x1065b901", "old_key_name": "29AgQY0vEXgAQxjcn5KnbTpDvwfflhrg3caG0H70", "hide": false, "title": "Electrostatics", "child_data": [{"kind": "Video", "id": 1369811787}, {"kind": "Video", "id": 1391394258}, {"kind": "Video", "id": 1391264814}, {"kind": "Article", "id": 1432594287}], "children": [{"translated_youtube_id": "Qc9VsH11nzk", "relative_url": "/video/discovery-of-electrostatics", "has_questions": false, "keywords": "electrostatics", "ka_url": "http://www.khanacademy.org/video/discovery-of-electrostatics", "duration": 52, "translated_title": "Discovery of triboelectric effect", "translated_description_html": "Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?", "id": "1369811787", "description_html": "Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?", "title": "Discovery of triboelectric effect", "progress_key": "v1369811787", "edit_slug": "edit/v/1369811787", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-of-electrostatics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-11T19:02:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qc9VsH11nzk.mp4/Qc9VsH11nzk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qc9VsH11nzk.mp4/Qc9VsH11nzk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qc9VsH11nzk.m3u8/Qc9VsH11nzk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qc9VsH11nzk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1369811787", "sha": "5ca343a5e9e222fa52a3963c97b63ffb015acf12", "translated_description": "Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?", "image_url": "https://img.youtube.com/vi/Qc9VsH11nzk/hqdefault.jpg", "youtube_id": "Qc9VsH11nzk", "content_kind": "Video", "readable_id": "discovery-of-electrostatics"}, {"translated_youtube_id": "WmTjwOtPibc", "relative_url": "/video/pith-ball-electroscope", "has_questions": false, "keywords": "electrostatics, electrostatic force", "ka_url": "http://www.khanacademy.org/video/pith-ball-electroscope", "duration": 39, "translated_title": "Pith ball electroscope", "translated_description_html": "Primitive device for measuring electrostatic force", "id": "1391394258", "description_html": "Primitive device for measuring electrostatic force", "title": "Pith ball electroscope", "progress_key": "v1391394258", "edit_slug": "edit/v/1391394258", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Primitive device for measuring electrostatic force", "extra_properties": {"original_url": ""}, "node_slug": "v/pith-ball-electroscope", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2013-02-19T03:43:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WmTjwOtPibc.mp4/WmTjwOtPibc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WmTjwOtPibc.mp4/WmTjwOtPibc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WmTjwOtPibc.m3u8/WmTjwOtPibc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WmTjwOtPibc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1391394258", "sha": "182eedf004048cf552387588144fcc473eafdd39", "translated_description": "Primitive device for measuring electrostatic force", "image_url": "https://img.youtube.com/vi/WmTjwOtPibc/hqdefault.jpg", "youtube_id": "WmTjwOtPibc", "content_kind": "Video", "readable_id": "pith-ball-electroscope"}, {"translated_youtube_id": "ZfMl8oAL2Rs", "relative_url": "/video/foil-leaf-electroscope", "has_questions": false, "keywords": "electroscope", "ka_url": "http://www.khanacademy.org/video/foil-leaf-electroscope", "duration": 52, "translated_title": "Foil leaf electroscope", "translated_description_html": "Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object", "id": "1391264814", "description_html": "Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object", "title": "Foil leaf electroscope", "progress_key": "v1391264814", "edit_slug": "edit/v/1391264814", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object", "extra_properties": {"original_url": ""}, "node_slug": "v/foil-leaf-electroscope", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T04:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZfMl8oAL2Rs.mp4/ZfMl8oAL2Rs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZfMl8oAL2Rs.mp4/ZfMl8oAL2Rs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZfMl8oAL2Rs.m3u8/ZfMl8oAL2Rs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZfMl8oAL2Rs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1391264814", "sha": "fcfb4e04a46e67556e6f46f1df0afa66d90857a9", "translated_description": "Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object", "image_url": "https://img.youtube.com/vi/ZfMl8oAL2Rs/hqdefault.jpg", "youtube_id": "ZfMl8oAL2Rs", "content_kind": "Video", "readable_id": "foil-leaf-electroscope"}], "twitter_url": "", "translated_description": "Discovering static electricity & electrostatic force. What is it? How can it be created, detected, and measured?", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Discovering static electricity & electrostatic force. What is it? How can it be created, detected, and measured?", "x_pos": 0.0, "node_slug": "electrostatics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1065b901", "topic_page_url": "/science/discoveries-projects/discoveries/electrostatics", "extended_slug": "science/discoveries-projects/discoveries/electrostatics", "slug": "electrostatics", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "55d5d207fa025997983f431167dcd3d0e2d1eb26", "standalone_title": "electrostatics", "y_pos": 0.0, "current_revision_key": "55d5d207fa025997983f431167dcd3d0e2d1eb26", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Rediscover the most important Scientific observations in a historical progression", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Rediscover the most important Scientific observations in a historical progression", "x_pos": 0.0, "node_slug": "discoveries", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf830622e", "topic_page_url": "/science/discoveries-projects/discoveries", "extended_slug": "science/discoveries-projects/discoveries", "slug": "discoveries", "tags": ["electromagnetism%2C%20magnetism"], "kind": "Topic", "in_topic_browser": true, "sha": "dec58a6f6b901d588569a2e59d6862ba3aa538e6", "standalone_title": "Discoveries", "y_pos": 0.0, "current_revision_key": "dec58a6f6b901d588569a2e59d6862ba3aa538e6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Reverse-Eng", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Reverse-Eng", "translated_standalone_title": "Reverse Engineering", "translated_title": "Reverse engineering", "gplus_url": "", "id": "xeb4f050d", "old_key_name": "yJ5G9O2u6R12ZgdoSOjN_sYHiGFFlAYNScQb61TP", "hide": false, "title": "Reverse engineering", "child_data": [{"kind": "Topic", "id": "x6b1028eb"}, {"kind": "Topic", "id": "xe3a0d1e9"}, {"kind": "Topic", "id": "x11d48aea"}, {"kind": "Topic", "id": "x69dbdab1"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Reverse-Eng/reverse-engineering", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Reverse-Eng/reverse-engineering", "translated_standalone_title": "Household", "translated_title": "Household", "gplus_url": "", "id": "x6b1028eb", "old_key_name": "qjdaAcmNCS22NFSHa5bgjqeC5F1Dz9AUbWDvcjvN", "hide": false, "title": "Household", "child_data": [{"kind": "Video", "id": 1037743580}, {"kind": "Video", "id": 1037911217}, {"kind": "Video", "id": 1081270708}], "children": [{"translated_youtube_id": "xuQcB-oo-4U", "relative_url": "/video/what-is-inside-an-alarm-clock-radio-1", "has_questions": false, "keywords": "radio, alarm clock, am, fm, frequency modulation, amplitude modulation, integrated circuit, clock divider, crystal oscillator, diode, bridge rectifier, transformer, AC, DC, alternating current, direct current, variable capacitors, ferrite rod antenna, ante", "ka_url": "http://www.khanacademy.org/video/what-is-inside-an-alarm-clock-radio-1", "duration": 834, "translated_title": "What is inside an alarm clock radio?", "translated_description_html": "In this video we explore what is inside an alarm clock, how it is made, and how it works.", "id": "1037743580", "description_html": "In this video we explore what is inside an alarm clock, how it is made, and how it works.", "title": "What is inside an alarm clock radio?", "progress_key": "v1037743580", "edit_slug": "edit/v/1037743580", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we explore what is inside an alarm clock, how it is made, and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-an-alarm-clock-radio-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-14T23:38:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xuQcB-oo-4U.mp4/xuQcB-oo-4U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xuQcB-oo-4U.mp4/xuQcB-oo-4U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xuQcB-oo-4U.m3u8/xuQcB-oo-4U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xuQcB-oo-4U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037743580", "sha": "d40dd99fcd4766b65f54af99f7a1526897884d62", "translated_description": "In this video we explore what is inside an alarm clock, how it is made, and how it works.", "image_url": "https://img.youtube.com/vi/xuQcB-oo-4U/hqdefault.jpg", "youtube_id": "xuQcB-oo-4U", "content_kind": "Video", "readable_id": "what-is-inside-an-alarm-clock-radio-1"}, {"translated_youtube_id": "XQTIKNXDAao", "relative_url": "/video/what-is-inside-a-coffee-maker", "has_questions": false, "keywords": "Ni-Chrome wire, Nickel-Chrome alloy, switch, housing, injection molding, PP, polypropylene, vent, filter, grill, insulation, thermal fuse, bi-metallic switch, heat, cost reduced, inexpensive, rectifier, copper coil, glass, stainless steel, coffee, maker", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-coffee-maker", "duration": 833, "translated_title": "What is inside a coffee maker?", "translated_description_html": "In this video we explore what is inside a coffee maker, how it is made, and how it works.", "id": "1037911217", "description_html": "In this video we explore what is inside a coffee maker, how it is made, and how it works.", "title": "What is inside a coffee maker?", "progress_key": "v1037911217", "edit_slug": "edit/v/1037911217", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we explore what is inside a coffee maker, how it is made, and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-a-coffee-maker", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-15T00:29:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XQTIKNXDAao.mp4/XQTIKNXDAao.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XQTIKNXDAao.mp4/XQTIKNXDAao.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XQTIKNXDAao.m3u8/XQTIKNXDAao.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XQTIKNXDAao&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037911217", "sha": "d8299f22980f6e2305511d5ba1774763fd1559b1", "translated_description": "In this video we explore what is inside a coffee maker, how it is made, and how it works.", "image_url": "https://img.youtube.com/vi/XQTIKNXDAao/hqdefault.jpg", "youtube_id": "XQTIKNXDAao", "content_kind": "Video", "readable_id": "what-is-inside-a-coffee-maker"}, {"translated_youtube_id": "qLMsZKx_a8s", "relative_url": "/video/what-is-inside-a-tap-light", "has_questions": false, "keywords": "Tap light, led", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-tap-light", "duration": 362, "translated_title": "What is inside a tap light?", "translated_description_html": "In this video we go inside a tap light to discover what is inside and how it works.", "id": "1081270708", "description_html": "In this video we go inside a tap light to discover what is inside and how it works.", "title": "What is inside a tap light?", "progress_key": "v1081270708", "edit_slug": "edit/v/1081270708", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we go inside a tap light to discover what is inside and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-a-tap-light", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-11T03:17:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.m3u8/qLMsZKx_a8s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qLMsZKx_a8s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1081270708", "sha": "94bab11dc535b76f1ff78794aac06a827b619248", "translated_description": "In this video we go inside a tap light to discover what is inside and how it works.", "image_url": "https://img.youtube.com/vi/qLMsZKx_a8s/hqdefault.jpg", "youtube_id": "qLMsZKx_a8s", "content_kind": "Video", "readable_id": "what-is-inside-a-tap-light"}], "twitter_url": "", "translated_description": "Other household items you know", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Other household items you know", "x_pos": 0.0, "node_slug": "reverse-engineering", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b1028eb", "topic_page_url": "/science/discoveries-projects/Reverse-Eng/reverse-engineering", "extended_slug": "science/discoveries-projects/Reverse-Eng/reverse-engineering", "slug": "reverse-engineering", "tags": ["How%20things%20work"], "kind": "Topic", "in_topic_browser": true, "sha": "89090096c174b9c06cdcdfa9200a7cc6cd5def70", "standalone_title": "Household", "y_pos": 0.0, "current_revision_key": "89090096c174b9c06cdcdfa9200a7cc6cd5def70", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Reverse-Eng/hair_dryer", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Reverse-Eng/hair_dryer", "translated_standalone_title": "Hair Dryer", "translated_title": "Hair dryer", "gplus_url": "", "id": "xe3a0d1e9", "old_key_name": "homglAsf1gt4qrpvTzvDN9xsI8NAD0q0KE6lW_x3", "hide": false, "title": "Hair dryer", "child_data": [{"kind": "Video", "id": 1037778447}, {"kind": "Video", "id": 1037887285}, {"kind": "Video", "id": 1115489610}], "children": [{"translated_youtube_id": "gFFvaLzhYew", "relative_url": "/video/what-is-inside-a-hairdryer---1-of-2", "has_questions": false, "keywords": "Hairdryer ground fault interrupter circuit", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-hairdryer---1-of-2", "duration": 369, "translated_title": "What is inside a hair dryer? (1 of 2)", "translated_description_html": "In this video we explore ground fault interrupt circuits and how they keep us safe.", "id": "1037778447", "description_html": "In this video we explore ground fault interrupt circuits and how they keep us safe.", "title": "What is inside a hair dryer? (1 of 2)", "progress_key": "v1037778447", "edit_slug": "edit/v/1037778447", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we explore ground fault interrupt circuits and how they keep us safe.", "extra_properties": null, "node_slug": "v/what-is-inside-a-hairdryer---1-of-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-14T23:42:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gFFvaLzhYew.mp4/gFFvaLzhYew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gFFvaLzhYew.mp4/gFFvaLzhYew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gFFvaLzhYew.m3u8/gFFvaLzhYew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gFFvaLzhYew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037778447", "sha": "6289cdf3b762734eb992c81f9c95bb477fefee85", "translated_description": "In this video we explore ground fault interrupt circuits and how they keep us safe.", "image_url": "https://img.youtube.com/vi/gFFvaLzhYew/hqdefault.jpg", "youtube_id": "gFFvaLzhYew", "content_kind": "Video", "readable_id": "what-is-inside-a-hairdryer---1-of-2"}, {"translated_youtube_id": "Vq7EOmvU1eQ", "relative_url": "/video/what-is-inside-of-a-hair-dryer---2-of-2", "has_questions": false, "keywords": "Ni-Chrome wire, Nickel-Chrome alloy, switch, housing, injection molding, PP, polypropylene, fan, louver, vent, filter, grill, insulation, motor, AC, DC, alternating current, direct current, resistor, thermal fuse, bi-metallic switch, mica sheet, brass, riv", "ka_url": "http://www.khanacademy.org/video/what-is-inside-of-a-hair-dryer---2-of-2", "duration": 705, "translated_title": "What is inside a hair dryer? (2 of 2)", "translated_description_html": "In this video we explore what is inside a hairdryer, how it is made, and how it works.", "id": "1037887285", "description_html": "In this video we explore what is inside a hairdryer, how it is made, and how it works.", "title": "What is inside a hair dryer? (2 of 2)", "progress_key": "v1037887285", "edit_slug": "edit/v/1037887285", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we explore what is inside a hairdryer, how it is made, and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-of-a-hair-dryer---2-of-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-15T00:01:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vq7EOmvU1eQ.mp4/Vq7EOmvU1eQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vq7EOmvU1eQ.mp4/Vq7EOmvU1eQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vq7EOmvU1eQ.m3u8/Vq7EOmvU1eQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vq7EOmvU1eQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037887285", "sha": "5142bbffcd19488fc4ba7bc9fb52d611e637ff3c", "translated_description": "In this video we explore what is inside a hairdryer, how it is made, and how it works.", "image_url": "https://img.youtube.com/vi/Vq7EOmvU1eQ/hqdefault.jpg", "youtube_id": "Vq7EOmvU1eQ", "content_kind": "Video", "readable_id": "what-is-inside-of-a-hair-dryer---2-of-2"}, {"translated_youtube_id": "V7P2dnrWDeQ", "relative_url": "/video/Compare-motors", "has_questions": false, "keywords": "Hair dryer motor, motor you can build, magnets, brushes, awesome fan", "ka_url": "http://www.khanacademy.org/video/Compare-motors", "duration": 136, "translated_title": "Compare the hair dryer motor to the one you can build", "translated_description_html": "In this video we compare our hair dryer motor to the motor we built.", "id": "1115489610", "description_html": "In this video we compare our hair dryer motor to the motor we built.", "title": "Compare the hair dryer motor to the one you can build", "progress_key": "v1115489610", "edit_slug": "edit/v/1115489610", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we compare our hair dryer motor to the motor we built.", "extra_properties": null, "node_slug": "v/Compare-motors", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-31T03:51:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V7P2dnrWDeQ.mp4/V7P2dnrWDeQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V7P2dnrWDeQ.mp4/V7P2dnrWDeQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V7P2dnrWDeQ.m3u8/V7P2dnrWDeQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V7P2dnrWDeQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1115489610", "sha": "da21b9cb2650a7aada72f0e15217b4d70a38eeea", "translated_description": "In this video we compare our hair dryer motor to the motor we built.", "image_url": "https://img.youtube.com/vi/V7P2dnrWDeQ/hqdefault.jpg", "youtube_id": "V7P2dnrWDeQ", "content_kind": "Video", "readable_id": "Compare-motors"}], "twitter_url": "", "translated_description": "Hair Dryer", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Hair Dryer", "x_pos": 0.0, "node_slug": "hair_dryer", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe3a0d1e9", "topic_page_url": "/science/discoveries-projects/Reverse-Eng/hair_dryer", "extended_slug": "science/discoveries-projects/Reverse-Eng/hair_dryer", "slug": "hair_dryer", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "09cf37c92cc22649fd0bebbdb3a39a3f1d60caac", "standalone_title": "Hair Dryer", "y_pos": 0.0, "current_revision_key": "09cf37c92cc22649fd0bebbdb3a39a3f1d60caac", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Reverse-Eng/dvd_player", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Reverse-Eng/dvd_player", "translated_standalone_title": "DVD Player", "translated_title": "DVD player", "gplus_url": "", "id": "x11d48aea", "old_key_name": "Q3zWh2JGoOUUsztqJ4XFSMcs9U3AegP3Q5J1tfE9", "hide": false, "title": "DVD player", "child_data": [{"kind": "Video", "id": 1037870720}, {"kind": "Video", "id": 1037746947}, {"kind": "Video", "id": 1037719891}, {"kind": "Video", "id": 1037852423}, {"kind": "Video", "id": 1037950087}, {"kind": "Video", "id": 1037941201}], "children": [{"translated_youtube_id": "9R9vPcPyUwo", "relative_url": "/video/what-is-inside-a-dvd-player---1-of-5", "has_questions": false, "keywords": "Housing, DVD, stamped steel, injection molding, control board, power supply, digital video disk ", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-dvd-player---1-of-5", "duration": 230, "translated_title": "What is inside a DVD player? (1 of 5)", "translated_description_html": "In this video we explore the housing and functions of a DVD player.", "id": "1037870720", "description_html": "In this video we explore the housing and functions of a DVD player.", "title": "What is inside a DVD player? (1 of 5)", "progress_key": "v1037870720", "edit_slug": "edit/v/1037870720", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we explore the housing and functions of a DVD player.", "extra_properties": null, "node_slug": "v/what-is-inside-a-dvd-player---1-of-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-15T00:30:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9R9vPcPyUwo.mp4/9R9vPcPyUwo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9R9vPcPyUwo.mp4/9R9vPcPyUwo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9R9vPcPyUwo.m3u8/9R9vPcPyUwo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9R9vPcPyUwo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037870720", "sha": "8b1839e916c32171afeda36c9523d7be8de2c0ba", "translated_description": "In this video we explore the housing and functions of a DVD player.", "image_url": "https://img.youtube.com/vi/9R9vPcPyUwo/hqdefault.jpg", "youtube_id": "9R9vPcPyUwo", "content_kind": "Video", "readable_id": "what-is-inside-a-dvd-player---1-of-5"}, {"translated_youtube_id": "a16uKH2K7gM", "relative_url": "/video/what-is-inside-a-dvd-player---2-of-5", "has_questions": false, "keywords": "digital video disk, DVD, player, power supply, SMPS, switch mode power supply, high frequency, DC to DC transformer, bridge rectifier, smoothing capacitor, electrolytic capacitor, ceramic disk capacitor, diode, opto coupler, integrated circuit, power regul", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-dvd-player---2-of-5", "duration": 312, "translated_title": "What is inside a DVD player? (2 of 5)", "translated_description_html": "In this video we explore the power supply inside a DVD player.", "id": "1037746947", "description_html": "In this video we explore the power supply inside a DVD player.", "title": "What is inside a DVD player? (2 of 5)", "progress_key": "v1037746947", "edit_slug": "edit/v/1037746947", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we explore the power supply inside a DVD player.", "extra_properties": null, "node_slug": "v/what-is-inside-a-dvd-player---2-of-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-15T00:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a16uKH2K7gM.mp4/a16uKH2K7gM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a16uKH2K7gM.mp4/a16uKH2K7gM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a16uKH2K7gM.m3u8/a16uKH2K7gM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a16uKH2K7gM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037746947", "sha": "431072fb79efd05ad2c3cbaa8cea06f764e5efff", "translated_description": "In this video we explore the power supply inside a DVD player.", "image_url": "https://img.youtube.com/vi/a16uKH2K7gM/hqdefault.jpg", "youtube_id": "a16uKH2K7gM", "content_kind": "Video", "readable_id": "what-is-inside-a-dvd-player---2-of-5"}, {"translated_youtube_id": "8VOcnNekTjw", "relative_url": "/video/what-is-inside-a-dvd-player---3-of-5", "has_questions": false, "keywords": "motor controller, central processing unit, eeprom, op-amp, operational amplifier, binary, power cables, ribbon cable, data communication, DVD sound and video processing integrated circuit, digital to analogue conversion, control board", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-dvd-player---3-of-5", "duration": 193, "translated_title": "What is inside a DVD player? (3 of 5)", "translated_description_html": "In this video we explore the control board inside a DVD player.", "id": "1037719891", "description_html": "In this video we explore the control board inside a DVD player.", "title": "What is inside a DVD player? (3 of 5)", "progress_key": "v1037719891", "edit_slug": "edit/v/1037719891", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we explore the control board inside a DVD player.", "extra_properties": null, "node_slug": "v/what-is-inside-a-dvd-player---3-of-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-15T00:33:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8VOcnNekTjw.mp4/8VOcnNekTjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8VOcnNekTjw.mp4/8VOcnNekTjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8VOcnNekTjw.m3u8/8VOcnNekTjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8VOcnNekTjw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037719891", "sha": "889a1e0b694ff301d635fa2ddd4f48ac33b9c6d6", "translated_description": "In this video we explore the control board inside a DVD player.", "image_url": "https://img.youtube.com/vi/8VOcnNekTjw/hqdefault.jpg", "youtube_id": "8VOcnNekTjw", "content_kind": "Video", "readable_id": "what-is-inside-a-dvd-player---3-of-5"}, {"translated_youtube_id": "axP8LfkPvF0", "relative_url": "/video/what-is-inside-of-a-dvd-player---4-of-5", "has_questions": false, "keywords": "tolerance, fit, accuracy, fit, precision, electro-mechanical, rare earth magnets, copper coil, tracking, laser diode, mirror, reflector, laser sensor, light sensor, binary, reflection, bumps, pits, aluminum, sputtering, ribbon cable,", "ka_url": "http://www.khanacademy.org/video/what-is-inside-of-a-dvd-player---4-of-5", "duration": 504, "translated_title": "What is inside a DVD player? (4 of 5)", "translated_description_html": "In this video we explore the DVD ROM components inside a DVD player.", "id": "1037852423", "description_html": "In this video we explore the DVD ROM components inside a DVD player.", "title": "What is inside a DVD player? (4 of 5)", "progress_key": "v1037852423", "edit_slug": "edit/v/1037852423", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we explore the DVD ROM components inside a DVD player.", "extra_properties": null, "node_slug": "v/what-is-inside-of-a-dvd-player---4-of-5", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-15T00:35:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.mp4/axP8LfkPvF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.mp4/axP8LfkPvF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.m3u8/axP8LfkPvF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=axP8LfkPvF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037852423", "sha": "ba86451420595b5ea7b54de0ab3870d01f561088", "translated_description": "In this video we explore the DVD ROM components inside a DVD player.", "image_url": "https://img.youtube.com/vi/axP8LfkPvF0/hqdefault.jpg", "youtube_id": "axP8LfkPvF0", "content_kind": "Video", "readable_id": "what-is-inside-of-a-dvd-player---4-of-5"}, {"translated_youtube_id": "uQTG0x4qaYs", "relative_url": "/video/what-is-inside-a-dvd-player---5-of-5", "has_questions": false, "keywords": "tolerance, fit, accuracy, fit, precision, electro-mechanical, rare earth magnets, copper coil, tracking, laser diode, mirror, reflector, laser sensor, light sensor, binary, reflection, bumps, pits, aluminum, sputtering, ribbon cable,", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-dvd-player---5-of-5", "duration": 173, "translated_title": "What is inside a DVD player? (5 of 5)", "translated_description_html": "In this video we explore the laser assembly inside a DVD player.", "id": "1037950087", "description_html": "In this video we explore the laser assembly inside a DVD player.", "title": "What is inside a DVD player? (5 of 5)", "progress_key": "v1037950087", "edit_slug": "edit/v/1037950087", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we explore the laser assembly inside a DVD player.", "extra_properties": null, "node_slug": "v/what-is-inside-a-dvd-player---5-of-5", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-09-15T00:36:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uQTG0x4qaYs.mp4/uQTG0x4qaYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uQTG0x4qaYs.mp4/uQTG0x4qaYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uQTG0x4qaYs.m3u8/uQTG0x4qaYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uQTG0x4qaYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037950087", "sha": "6ae52d185374a70c4559453f315eddfc20e23d55", "translated_description": "In this video we explore the laser assembly inside a DVD player.", "image_url": "https://img.youtube.com/vi/uQTG0x4qaYs/hqdefault.jpg", "youtube_id": "uQTG0x4qaYs", "content_kind": "Video", "readable_id": "what-is-inside-a-dvd-player---5-of-5"}, {"translated_youtube_id": "FH1L5NnuDXM", "relative_url": "/video/what-is-inside-of-a-universal-remote-control-1", "has_questions": false, "keywords": "universal remote, epoxy potting, integrated circuit, copper traces, conductive contacts, ABS plastic, neoprene, inferred LED, pulse, buttons, conductive, code based universal remote, learning remote, light emitting diode, batteries, springs, contacts, prin", "ka_url": "http://www.khanacademy.org/video/what-is-inside-of-a-universal-remote-control-1", "duration": 443, "translated_title": "What is inside a universal remote control?", "translated_description_html": "In this video we explore what is inside a universal remote control, how it is made, and how it works.", "id": "1037941201", "description_html": "In this video we explore what is inside a universal remote control, how it is made, and how it works.", "title": "What is inside a universal remote control?", "progress_key": "v1037941201", "edit_slug": "edit/v/1037941201", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we explore what is inside a universal remote control, how it is made, and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-of-a-universal-remote-control-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-15T00:40:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FH1L5NnuDXM.mp4/FH1L5NnuDXM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FH1L5NnuDXM.mp4/FH1L5NnuDXM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FH1L5NnuDXM.m3u8/FH1L5NnuDXM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FH1L5NnuDXM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037941201", "sha": "00552ded1a8c9e723e0742d732c30830f0292716", "translated_description": "In this video we explore what is inside a universal remote control, how it is made, and how it works.", "image_url": "https://img.youtube.com/vi/FH1L5NnuDXM/hqdefault.jpg", "youtube_id": "FH1L5NnuDXM", "content_kind": "Video", "readable_id": "what-is-inside-of-a-universal-remote-control-1"}], "twitter_url": "", "translated_description": "DVD Player", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "DVD Player", "x_pos": 0.0, "node_slug": "dvd_player", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11d48aea", "topic_page_url": "/science/discoveries-projects/Reverse-Eng/dvd_player", "extended_slug": "science/discoveries-projects/Reverse-Eng/dvd_player", "slug": "dvd_player", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7e7789797cfd94528fdeaabb35abd9add963145e", "standalone_title": "DVD Player", "y_pos": 0.0, "current_revision_key": "7e7789797cfd94528fdeaabb35abd9add963145e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Reverse-Eng/digital_camera", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Reverse-Eng/digital_camera", "translated_standalone_title": "Digital Camera", "translated_title": "Digital camera", "gplus_url": "", "id": "x69dbdab1", "old_key_name": "WMXbduzzVpVcSAMmw1hxK_UDZbZmOHavJxmRT0L0", "hide": false, "title": "Digital camera", "child_data": [{"kind": "Video", "id": 1037927081}, {"kind": "Video", "id": 1037746795}], "children": [{"translated_youtube_id": "PSy6zQsk8z0", "relative_url": "/video/what-is-inside-a-digital-camera---1-of-2-1", "has_questions": false, "keywords": "digital camera", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-digital-camera---1-of-2-1", "duration": 595, "translated_title": "What is inside a digital camera? (1 of 2)", "translated_description_html": "In this video we go inside the digital camera to discover what is inside and how it works.", "id": "1037927081", "description_html": "In this video we go inside the digital camera to discover what is inside and how it works.", "title": "What is inside a digital camera? (1 of 2)", "progress_key": "v1037927081", "edit_slug": "edit/v/1037927081", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we go inside the digital camera to discover what is inside and how it works.", "extra_properties": null, "node_slug": "v/what-is-inside-a-digital-camera---1-of-2-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-09-15T00:11:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PSy6zQsk8z0.mp4/PSy6zQsk8z0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PSy6zQsk8z0.mp4/PSy6zQsk8z0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PSy6zQsk8z0.m3u8/PSy6zQsk8z0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PSy6zQsk8z0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037927081", "sha": "0464d782d05b30905dce2300e98e1d65885309de", "translated_description": "In this video we go inside the digital camera to discover what is inside and how it works.", "image_url": "https://img.youtube.com/vi/PSy6zQsk8z0/hqdefault.jpg", "youtube_id": "PSy6zQsk8z0", "content_kind": "Video", "readable_id": "what-is-inside-a-digital-camera---1-of-2-1"}, {"translated_youtube_id": "DAvEI0rLrAw", "relative_url": "/video/what-is-inside-a-digital-camera---2-of-2", "has_questions": false, "keywords": "flash memory, CCD, charged coupled device, lens, cost reduction, revision number, plastic ", "ka_url": "http://www.khanacademy.org/video/what-is-inside-a-digital-camera---2-of-2", "duration": 183, "translated_title": "What is inside a digital camera? (2 of 2)", "translated_description_html": "In this video we compare different revisions of the same digital camera.", "id": "1037746795", "description_html": "In this video we compare different revisions of the same digital camera.", "title": "What is inside a digital camera? (2 of 2)", "progress_key": "v1037746795", "edit_slug": "edit/v/1037746795", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we compare different revisions of the same digital camera.", "extra_properties": null, "node_slug": "v/what-is-inside-a-digital-camera---2-of-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-15T00:05:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DAvEI0rLrAw.mp4/DAvEI0rLrAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DAvEI0rLrAw.mp4/DAvEI0rLrAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DAvEI0rLrAw.m3u8/DAvEI0rLrAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DAvEI0rLrAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1037746795", "sha": "5226dbd68a83ac5260b243778c11bbdfa7f9ca36", "translated_description": "In this video we compare different revisions of the same digital camera.", "image_url": "https://img.youtube.com/vi/DAvEI0rLrAw/hqdefault.jpg", "youtube_id": "DAvEI0rLrAw", "content_kind": "Video", "readable_id": "what-is-inside-a-digital-camera---2-of-2"}], "twitter_url": "", "translated_description": "Digital Camera", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Digital Camera", "x_pos": 0.0, "node_slug": "digital_camera", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax69dbdab1", "topic_page_url": "/science/discoveries-projects/Reverse-Eng/digital_camera", "extended_slug": "science/discoveries-projects/Reverse-Eng/digital_camera", "slug": "digital_camera", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "94b74c0689ec767a116b914a27cd0a4f39f35749", "standalone_title": "Digital Camera", "y_pos": 0.0, "current_revision_key": "94b74c0689ec767a116b914a27cd0a4f39f35749", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos exploring the way things work.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos exploring the way things work.", "x_pos": 0.0, "node_slug": "Reverse-Eng", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeb4f050d", "topic_page_url": "/science/discoveries-projects/Reverse-Eng", "extended_slug": "science/discoveries-projects/Reverse-Eng", "slug": "Reverse-Eng", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d145509d9ebca05da8bc1b0c4aaab6bd981148be", "standalone_title": "Reverse Engineering", "y_pos": 0.0, "current_revision_key": "d145509d9ebca05da8bc1b0c4aaab6bd981148be", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots", "translated_standalone_title": "Robots", "translated_title": "Robots", "gplus_url": "", "id": "x7f8a9b2b", "old_key_name": "eOeoRVamL7qWzJ7hnKLSXJ8u95nUCPNZ86v8QUqb", "hide": false, "title": "Robots", "child_data": [{"kind": "Topic", "id": "x7f348877"}, {"kind": "Topic", "id": "xd833b494"}, {"kind": "Topic", "id": "x92a8ccbc"}, {"kind": "Topic", "id": "x989edfd5"}, {"kind": "Topic", "id": "x4767a89b"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots/all-about-spout", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots/all-about-spout", "translated_standalone_title": "all-about-spout", "translated_title": "All about Spout", "gplus_url": "", "id": "x7f348877", "old_key_name": null, "hide": false, "title": "All about Spout", "child_data": [{"kind": "Video", "id": 1390111555}, {"kind": "Video", "id": "xea48aeaa"}, {"kind": "Video", "id": "x625134bb"}, {"kind": "Video", "id": "xad1dfde5"}, {"kind": "Video", "id": "x6dd4615f"}, {"kind": "Video", "id": "x4f8f0cdc"}, {"kind": "Video", "id": "x820027cc"}, {"kind": "Scratchpad", "id": 2380038500}, {"kind": "Scratchpad", "id": 2396242478}], "children": [{"translated_youtube_id": "OlYwHNKN-qw", "relative_url": "/video/spout-bot-at-santa-rita-elementary-school", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spout-bot-at-santa-rita-elementary-school", "duration": 246, "translated_title": "3rd graders build robots at Santa Rita Elementary School", "translated_description_html": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "id": "1390111555", "description_html": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "title": "3rd graders build robots at Santa Rita Elementary School", "progress_key": "v1390111555", "edit_slug": "edit/v/1390111555", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "extra_properties": {"original_url": ""}, "node_slug": "v/spout-bot-at-santa-rita-elementary-school", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-18T21:04:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.mp4/OlYwHNKN-qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.mp4/OlYwHNKN-qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.m3u8/OlYwHNKN-qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OlYwHNKN-qw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1390111555", "sha": "4a245bd6b2abe0cda830cf54bf9ab22f49e3a384", "translated_description": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "image_url": "https://img.youtube.com/vi/OlYwHNKN-qw/hqdefault.jpg", "youtube_id": "OlYwHNKN-qw", "content_kind": "Video", "readable_id": "spout-bot-at-santa-rita-elementary-school"}, {"translated_youtube_id": "u5NCRHcel_g", "relative_url": "/video/Sliding SPDT switch", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Sliding SPDT switch", "duration": 281, "translated_title": "Spout's sliding SPDT switch", "translated_description_html": "", "id": "xea48aeaa", "description_html": "", "title": "Spout's sliding SPDT switch", "progress_key": "vxea48aeaa", "edit_slug": "edit/v/xea48aeaa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Sliding SPDT switch", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5NCRHcel_g.mp4/u5NCRHcel_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5NCRHcel_g.mp4/u5NCRHcel_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5NCRHcel_g.m3u8/u5NCRHcel_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5NCRHcel_g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxea48aeaa", "sha": "f2f5b48ea1b700931111b0667ae1e9a5714776f1", "translated_description": "", "image_url": "https://img.youtube.com/vi/u5NCRHcel_g/hqdefault.jpg", "youtube_id": "u5NCRHcel_g", "content_kind": "Video", "readable_id": "Sliding SPDT switch"}, {"translated_youtube_id": "FfN8uQqLa_c", "relative_url": "/video/Spout_light_circuit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout_light_circuit", "duration": 32, "translated_title": "Spout lights", "translated_description_html": "", "id": "x625134bb", "description_html": "", "title": "Spout lights", "progress_key": "vx625134bb", "edit_slug": "edit/v/x625134bb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout_light_circuit", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FfN8uQqLa_c.mp4/FfN8uQqLa_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FfN8uQqLa_c.mp4/FfN8uQqLa_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FfN8uQqLa_c.m3u8/FfN8uQqLa_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FfN8uQqLa_c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx625134bb", "sha": "07394aac60bfac16f3abb9e5aeeb7d32b6d38fe6", "translated_description": "", "image_url": "https://img.youtube.com/vi/FfN8uQqLa_c/hqdefault.jpg", "youtube_id": "FfN8uQqLa_c", "content_kind": "Video", "readable_id": "Spout_light_circuit"}, {"translated_youtube_id": "LXi5FUMNTjE", "relative_url": "/video/Spout_motor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout_motor", "duration": 199, "translated_title": "Spout motor", "translated_description_html": "", "id": "xad1dfde5", "description_html": "", "title": "Spout motor", "progress_key": "vxad1dfde5", "edit_slug": "edit/v/xad1dfde5", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout_motor", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LXi5FUMNTjE.mp4/LXi5FUMNTjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LXi5FUMNTjE.mp4/LXi5FUMNTjE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LXi5FUMNTjE.m3u8/LXi5FUMNTjE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LXi5FUMNTjE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxad1dfde5", "sha": "ecad9989ba0cf829d49d04d6437c1cf2568a14bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/LXi5FUMNTjE/hqdefault.jpg", "youtube_id": "LXi5FUMNTjE", "content_kind": "Video", "readable_id": "Spout_motor"}, {"translated_youtube_id": "KWf5kSNPbz0", "relative_url": "/video/Spout_battery", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout_battery", "duration": 110, "translated_title": "Spout battery configuration and polarization", "translated_description_html": "", "id": "x6dd4615f", "description_html": "", "title": "Spout battery configuration and polarization", "progress_key": "vx6dd4615f", "edit_slug": "edit/v/x6dd4615f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout_battery", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KWf5kSNPbz0.mp4/KWf5kSNPbz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KWf5kSNPbz0.mp4/KWf5kSNPbz0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KWf5kSNPbz0.m3u8/KWf5kSNPbz0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KWf5kSNPbz0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6dd4615f", "sha": "20fe7e39bad5ac39ab7222191d681dee90c7712f", "translated_description": "", "image_url": "https://img.youtube.com/vi/KWf5kSNPbz0/hqdefault.jpg", "youtube_id": "KWf5kSNPbz0", "content_kind": "Video", "readable_id": "Spout_battery"}, {"translated_youtube_id": "1_OieLuWGyw", "relative_url": "/video/SPDT lever switch", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/SPDT lever switch", "duration": 168, "translated_title": "SPDT switch", "translated_description_html": "", "id": "x4f8f0cdc", "description_html": "", "title": "SPDT switch", "progress_key": "vx4f8f0cdc", "edit_slug": "edit/v/x4f8f0cdc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/SPDT lever switch", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1_OieLuWGyw.mp4/1_OieLuWGyw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1_OieLuWGyw.mp4/1_OieLuWGyw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1_OieLuWGyw.m3u8/1_OieLuWGyw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1_OieLuWGyw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f8f0cdc", "sha": "7a020fe10ddd60944ad11a77f4d25661f539da29", "translated_description": "", "image_url": "https://img.youtube.com/vi/1_OieLuWGyw/hqdefault.jpg", "youtube_id": "1_OieLuWGyw", "content_kind": "Video", "readable_id": "SPDT lever switch"}, {"translated_youtube_id": "5dlE_wobLoM", "relative_url": "/video/Spout current reversing switch", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout current reversing switch", "duration": 180, "translated_title": "Spout's reversing circuit and final assembly", "translated_description_html": "", "id": "x820027cc", "description_html": "", "title": "Spout's reversing circuit and final assembly", "progress_key": "vx820027cc", "edit_slug": "edit/v/x820027cc", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout current reversing switch", "deleted": false, "backup_timestamp": "2013-11-01T06:22:19Z", "date_added": "2013-11-01T06:22:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5dlE_wobLoM.mp4/5dlE_wobLoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5dlE_wobLoM.mp4/5dlE_wobLoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5dlE_wobLoM.m3u8/5dlE_wobLoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5dlE_wobLoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx820027cc", "sha": "0b7a08fc514e94621490d86910c35f7754ef5e97", "translated_description": "", "image_url": "https://img.youtube.com/vi/5dlE_wobLoM/hqdefault.jpg", "youtube_id": "5dlE_wobLoM", "content_kind": "Video", "readable_id": "Spout current reversing switch"}], "twitter_url": "", "translated_description": "This topic explains how Spout works!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This topic explains how Spout works!", "x_pos": 0.0, "node_slug": "all-about-spout", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-01T05:55:42Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f348877", "topic_page_url": "/science/discoveries-projects/robots/all-about-spout", "extended_slug": "science/discoveries-projects/robots/all-about-spout", "slug": "all-about-spout", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "77d5f4ce335e96933a4c4a3f5e3a43e8a088c95b", "standalone_title": "all-about-spout", "y_pos": 0.0, "current_revision_key": "77d5f4ce335e96933a4c4a3f5e3a43e8a088c95b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots/Spout-Bot-with-Solder", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots/Spout-Bot-with-Solder", "translated_standalone_title": "Spout Bot with Solder", "translated_title": "Spout Bot with Solder", "gplus_url": "", "id": "xd833b494", "old_key_name": null, "hide": false, "title": "Spout Bot with Solder", "child_data": [{"kind": "Video", "id": "x7a463592"}, {"kind": "Video", "id": "x722ce87b"}, {"kind": "Video", "id": "x2537b483"}, {"kind": "Video", "id": "x28303800"}, {"kind": "Video", "id": "x561e658f"}, {"kind": "Video", "id": "xec4f22cb"}, {"kind": "Video", "id": "x7b8ff83e"}, {"kind": "Video", "id": "x4a9ed442"}], "children": [{"translated_youtube_id": "5ZXB-gCs1oM", "relative_url": "/video/parts-for-spout", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parts-for-spout", "duration": 114, "translated_title": "Parts for Spout", "translated_description_html": "


<\/p>", "id": "x7a463592", "description_html": "


<\/p>", "title": "Parts for Spout", "progress_key": "vx7a463592", "edit_slug": "edit/v/x7a463592", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/parts-for-spout", "deleted": false, "backup_timestamp": "2013-11-14T04:29:36Z", "date_added": "2013-11-14T04:29:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.mp4/5ZXB-gCs1oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.mp4/5ZXB-gCs1oM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.m3u8/5ZXB-gCs1oM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ZXB-gCs1oM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7a463592", "sha": "91273e560510d53807719aa8deb2f8bf52f39f98", "translated_description": "", "image_url": "https://img.youtube.com/vi/5ZXB-gCs1oM/hqdefault.jpg", "youtube_id": "5ZXB-gCs1oM", "content_kind": "Video", "readable_id": "parts-for-spout"}, {"translated_youtube_id": "OmVBfdmWItk", "relative_url": "/video/Spout-tools", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-tools", "duration": 86, "translated_title": "Spout tools", "translated_description_html": "", "id": "x722ce87b", "description_html": "", "title": "Spout tools", "progress_key": "vx722ce87b", "edit_slug": "edit/v/x722ce87b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-tools", "deleted": false, "backup_timestamp": "2013-11-14T04:29:36Z", "date_added": "2013-11-14T04:29:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.mp4/OmVBfdmWItk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.mp4/OmVBfdmWItk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.m3u8/OmVBfdmWItk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OmVBfdmWItk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx722ce87b", "sha": "b0b23f2b1f96f064dcec31d66a4aa3cb880e45da", "translated_description": "", "image_url": "https://img.youtube.com/vi/OmVBfdmWItk/hqdefault.jpg", "youtube_id": "OmVBfdmWItk", "content_kind": "Video", "readable_id": "Spout-tools"}, {"translated_youtube_id": "gW-7yeUW7-k", "relative_url": "/video/Soldering-saftey", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Soldering-saftey", "duration": 173, "translated_title": "Soldering Saftey", "translated_description_html": "", "id": "x2537b483", "description_html": "", "title": "Soldering Saftey", "progress_key": "vx2537b483", "edit_slug": "edit/v/x2537b483", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Soldering-saftey", "deleted": false, "backup_timestamp": "2013-11-14T04:29:37Z", "date_added": "2013-11-14T04:29:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gW-7yeUW7-k.mp4/gW-7yeUW7-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gW-7yeUW7-k.mp4/gW-7yeUW7-k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gW-7yeUW7-k.m3u8/gW-7yeUW7-k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gW-7yeUW7-k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2537b483", "sha": "40c619fd869b8a4a9e5d4b34e58221d09eee4c6c", "translated_description": "", "image_url": "https://img.youtube.com/vi/gW-7yeUW7-k/hqdefault.jpg", "youtube_id": "gW-7yeUW7-k", "content_kind": "Video", "readable_id": "Soldering-saftey"}, {"translated_youtube_id": "fEkK5MbG7PU", "relative_url": "/video/Spout-switches", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-switches", "duration": 625, "translated_title": "Spout switches", "translated_description_html": "", "id": "x28303800", "description_html": "", "title": "Spout switches", "progress_key": "vx28303800", "edit_slug": "edit/v/x28303800", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-switches", "deleted": false, "backup_timestamp": "2013-11-16T00:26:15Z", "date_added": "2013-11-16T00:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fEkK5MbG7PU.mp4/fEkK5MbG7PU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fEkK5MbG7PU.mp4/fEkK5MbG7PU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fEkK5MbG7PU.m3u8/fEkK5MbG7PU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fEkK5MbG7PU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx28303800", "sha": "31af3e9160f14b1992031872c855b089099ce616", "translated_description": "", "image_url": "https://img.youtube.com/vi/fEkK5MbG7PU/hqdefault.jpg", "youtube_id": "fEkK5MbG7PU", "content_kind": "Video", "readable_id": "Spout-switches"}, {"translated_youtube_id": "W9AVRhqEkek", "relative_url": "/video/Spout-motor-mount", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-motor-mount", "duration": 245, "translated_title": "Spout motor mount", "translated_description_html": "", "id": "x561e658f", "description_html": "", "title": "Spout motor mount", "progress_key": "vx561e658f", "edit_slug": "edit/v/x561e658f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-motor-mount", "deleted": false, "backup_timestamp": "2013-11-16T00:26:15Z", "date_added": "2013-11-16T00:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W9AVRhqEkek.mp4/W9AVRhqEkek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W9AVRhqEkek.mp4/W9AVRhqEkek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W9AVRhqEkek.m3u8/W9AVRhqEkek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W9AVRhqEkek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx561e658f", "sha": "a7b4146807ea7a022c85200a5126864a13704acb", "translated_description": "", "image_url": "https://img.youtube.com/vi/W9AVRhqEkek/hqdefault.jpg", "youtube_id": "W9AVRhqEkek", "content_kind": "Video", "readable_id": "Spout-motor-mount"}, {"translated_youtube_id": "zsdek-uH0NU", "relative_url": "/video/Spout-motor-wiring", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-motor-wiring", "duration": 707, "translated_title": "Spout motor wiring", "translated_description_html": "", "id": "xec4f22cb", "description_html": "", "title": "Spout motor wiring", "progress_key": "vxec4f22cb", "edit_slug": "edit/v/xec4f22cb", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-motor-wiring", "deleted": false, "backup_timestamp": "2013-11-16T00:26:15Z", "date_added": "2013-11-16T00:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zsdek-uH0NU.mp4/zsdek-uH0NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zsdek-uH0NU.mp4/zsdek-uH0NU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zsdek-uH0NU.m3u8/zsdek-uH0NU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zsdek-uH0NU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec4f22cb", "sha": "669a7662f9753674b73cc774aed18b4a5c8e27f0", "translated_description": "", "image_url": "https://img.youtube.com/vi/zsdek-uH0NU/hqdefault.jpg", "youtube_id": "zsdek-uH0NU", "content_kind": "Video", "readable_id": "Spout-motor-wiring"}, {"translated_youtube_id": "cyCad5HaHaE", "relative_url": "/video/Spout-LED-eye-wiring", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-LED-eye-wiring", "duration": 634, "translated_title": "Spout wiring for LED eyes", "translated_description_html": "", "id": "x7b8ff83e", "description_html": "", "title": "Spout wiring for LED eyes", "progress_key": "vx7b8ff83e", "edit_slug": "edit/v/x7b8ff83e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-LED-eye-wiring", "deleted": false, "backup_timestamp": "2013-11-16T00:26:16Z", "date_added": "2013-11-16T00:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cyCad5HaHaE.mp4/cyCad5HaHaE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cyCad5HaHaE.mp4/cyCad5HaHaE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cyCad5HaHaE.m3u8/cyCad5HaHaE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cyCad5HaHaE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7b8ff83e", "sha": "1a9fb67a26e228aa1db6dd4a32b3f297f772aa2d", "translated_description": "", "image_url": "https://img.youtube.com/vi/cyCad5HaHaE/hqdefault.jpg", "youtube_id": "cyCad5HaHaE", "content_kind": "Video", "readable_id": "Spout-LED-eye-wiring"}, {"translated_youtube_id": "6F32MMvcDNs", "relative_url": "/video/Spout-tail", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-tail", "duration": 511, "translated_title": "Spout antennae and tail", "translated_description_html": "


<\/p>", "id": "x4a9ed442", "description_html": "


<\/p>", "title": "Spout antennae and tail", "progress_key": "vx4a9ed442", "edit_slug": "edit/v/x4a9ed442", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-tail", "deleted": false, "backup_timestamp": "2013-11-16T00:26:15Z", "date_added": "2013-11-16T00:26:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6F32MMvcDNs.mp4/6F32MMvcDNs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6F32MMvcDNs.mp4/6F32MMvcDNs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6F32MMvcDNs.m3u8/6F32MMvcDNs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6F32MMvcDNs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4a9ed442", "sha": "ab0270a5ba0c69e0f62a20dae0daf8dbc8601a98", "translated_description": "", "image_url": "https://img.youtube.com/vi/6F32MMvcDNs/hqdefault.jpg", "youtube_id": "6F32MMvcDNs", "content_kind": "Video", "readable_id": "Spout-tail"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "Spout-Bot-with-Solder", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd833b494", "topic_page_url": "/science/discoveries-projects/robots/Spout-Bot-with-Solder", "extended_slug": "science/discoveries-projects/robots/Spout-Bot-with-Solder", "slug": "Spout-Bot-with-Solder", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "00220713d02de8c04946dc1cb47ccc9eeacbbfe5", "standalone_title": "Spout Bot with Solder", "y_pos": 0.0, "current_revision_key": "00220713d02de8c04946dc1cb47ccc9eeacbbfe5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots/Solderless-Spout-Bot", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots/Solderless-Spout-Bot", "translated_standalone_title": "Solderless Spout Bot", "translated_title": "Spout Bot without Solder", "gplus_url": "", "id": "x92a8ccbc", "old_key_name": null, "hide": false, "title": "Spout Bot without Solder", "child_data": [{"kind": "Article", "id": "x2bc8c6cb"}, {"kind": "Article", "id": "x68b121ce"}, {"kind": "Article", "id": "x08e5da01"}, {"kind": "Video", "id": "x7a463592"}, {"kind": "Video", "id": "x722ce87b"}, {"kind": "Video", "id": "x9ed4e36c"}, {"kind": "Video", "id": "xa2ac9619"}, {"kind": "Video", "id": "x5099d33c"}, {"kind": "Video", "id": "x17213762"}, {"kind": "Video", "id": "x67dd754d"}, {"kind": "Video", "id": "x7f36aa8f"}, {"kind": "Video", "id": "x6d4761cf"}, {"kind": "Video", "id": "x631d9462"}, {"kind": "Video", "id": "xa39f8044"}, {"kind": "Video", "id": "x0b05c85e"}, {"kind": "Scratchpad", "id": 5223613313581056}], "children": [{"translated_youtube_id": "5ZXB-gCs1oM", "relative_url": "/video/parts-for-spout", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parts-for-spout", "duration": 114, "translated_title": "Parts for Spout", "translated_description_html": "


<\/p>", "id": "x7a463592", "description_html": "


<\/p>", "title": "Parts for Spout", "progress_key": "vx7a463592", "edit_slug": "edit/v/x7a463592", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/parts-for-spout", "deleted": false, "backup_timestamp": "2013-11-14T04:29:36Z", "date_added": "2013-11-14T04:29:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.mp4/5ZXB-gCs1oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.mp4/5ZXB-gCs1oM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5ZXB-gCs1oM.m3u8/5ZXB-gCs1oM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5ZXB-gCs1oM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7a463592", "sha": "91273e560510d53807719aa8deb2f8bf52f39f98", "translated_description": "", "image_url": "https://img.youtube.com/vi/5ZXB-gCs1oM/hqdefault.jpg", "youtube_id": "5ZXB-gCs1oM", "content_kind": "Video", "readable_id": "parts-for-spout"}, {"translated_youtube_id": "OmVBfdmWItk", "relative_url": "/video/Spout-tools", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Spout-tools", "duration": 86, "translated_title": "Spout tools", "translated_description_html": "", "id": "x722ce87b", "description_html": "", "title": "Spout tools", "progress_key": "vx722ce87b", "edit_slug": "edit/v/x722ce87b", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/Spout-tools", "deleted": false, "backup_timestamp": "2013-11-14T04:29:36Z", "date_added": "2013-11-14T04:29:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.mp4/OmVBfdmWItk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.mp4/OmVBfdmWItk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OmVBfdmWItk.m3u8/OmVBfdmWItk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OmVBfdmWItk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx722ce87b", "sha": "b0b23f2b1f96f064dcec31d66a4aa3cb880e45da", "translated_description": "", "image_url": "https://img.youtube.com/vi/OmVBfdmWItk/hqdefault.jpg", "youtube_id": "OmVBfdmWItk", "content_kind": "Video", "readable_id": "Spout-tools"}, {"translated_youtube_id": "xRw0CLvQkjo", "relative_url": "/video/solderless-spout-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-2", "duration": 57, "translated_title": "Connect the SPDT switches", "translated_description_html": "", "id": "x9ed4e36c", "description_html": "", "title": "Connect the SPDT switches", "progress_key": "vx9ed4e36c", "edit_slug": "edit/v/x9ed4e36c", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:28:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xRw0CLvQkjo.mp4/xRw0CLvQkjo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xRw0CLvQkjo.mp4/xRw0CLvQkjo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xRw0CLvQkjo.m3u8/xRw0CLvQkjo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xRw0CLvQkjo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9ed4e36c", "sha": "8d68ca390281b1f6178e5889f5233c06f9c59c99", "translated_description": "", "image_url": "https://img.youtube.com/vi/xRw0CLvQkjo/hqdefault.jpg", "youtube_id": "xRw0CLvQkjo", "content_kind": "Video", "readable_id": "solderless-spout-2"}, {"translated_youtube_id": "8XKFcz7zP5E", "relative_url": "/video/solderless-spout-3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-3", "duration": 536, "translated_title": "Attach the LED eyes", "translated_description_html": "", "id": "xa2ac9619", "description_html": "", "title": "Attach the LED eyes", "progress_key": "vxa2ac9619", "edit_slug": "edit/v/xa2ac9619", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-3", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8XKFcz7zP5E.mp4/8XKFcz7zP5E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8XKFcz7zP5E.mp4/8XKFcz7zP5E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8XKFcz7zP5E.m3u8/8XKFcz7zP5E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8XKFcz7zP5E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa2ac9619", "sha": "a1f464c7ac4441fea5b50cd58e2229403b2be1bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/8XKFcz7zP5E/hqdefault.jpg", "youtube_id": "8XKFcz7zP5E", "content_kind": "Video", "readable_id": "solderless-spout-3"}, {"translated_youtube_id": "PI5WiM98S8U", "relative_url": "/video/solderless-spout-4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-4", "duration": 376, "translated_title": "Wire the SPDT switches", "translated_description_html": "", "id": "x5099d33c", "description_html": "", "title": "Wire the SPDT switches", "progress_key": "vx5099d33c", "edit_slug": "edit/v/x5099d33c", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-4", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PI5WiM98S8U.mp4/PI5WiM98S8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PI5WiM98S8U.mp4/PI5WiM98S8U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PI5WiM98S8U.m3u8/PI5WiM98S8U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PI5WiM98S8U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5099d33c", "sha": "6f9279772f48fa874bba081dbd1ceed4793186e5", "translated_description": "", "image_url": "https://img.youtube.com/vi/PI5WiM98S8U/hqdefault.jpg", "youtube_id": "PI5WiM98S8U", "content_kind": "Video", "readable_id": "solderless-spout-4"}, {"translated_youtube_id": "Q1XPg-2KB_A", "relative_url": "/video/solderless-spout-5", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-5", "duration": 378, "translated_title": "Create the motor mounts", "translated_description_html": "", "id": "x17213762", "description_html": "", "title": "Create the motor mounts", "progress_key": "vx17213762", "edit_slug": "edit/v/x17213762", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-5", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q1XPg-2KB_A.mp4/Q1XPg-2KB_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q1XPg-2KB_A.mp4/Q1XPg-2KB_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q1XPg-2KB_A.m3u8/Q1XPg-2KB_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q1XPg-2KB_A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx17213762", "sha": "122ee1a0823a028a0edfe3c0136f41e686772090", "translated_description": "", "image_url": "https://img.youtube.com/vi/Q1XPg-2KB_A/hqdefault.jpg", "youtube_id": "Q1XPg-2KB_A", "content_kind": "Video", "readable_id": "solderless-spout-5"}, {"translated_youtube_id": "gyXzJ3as26k", "relative_url": "/video/solderless-spout-6", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-6", "duration": 242, "translated_title": "Secure and wire the motors", "translated_description_html": "", "id": "x67dd754d", "description_html": "", "title": "Secure and wire the motors", "progress_key": "vx67dd754d", "edit_slug": "edit/v/x67dd754d", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-6", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gyXzJ3as26k.mp4/gyXzJ3as26k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gyXzJ3as26k.mp4/gyXzJ3as26k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gyXzJ3as26k.m3u8/gyXzJ3as26k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gyXzJ3as26k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx67dd754d", "sha": "08ce4b89f36dfa5dfba198b2951335669ed589a1", "translated_description": "", "image_url": "https://img.youtube.com/vi/gyXzJ3as26k/hqdefault.jpg", "youtube_id": "gyXzJ3as26k", "content_kind": "Video", "readable_id": "solderless-spout-6"}, {"translated_youtube_id": "_QdS8xjYL48", "relative_url": "/video/solderless-spout-7", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-7", "duration": 513, "translated_title": "Install on/off switches", "translated_description_html": "", "id": "x7f36aa8f", "description_html": "", "title": "Install on/off switches", "progress_key": "vx7f36aa8f", "edit_slug": "edit/v/x7f36aa8f", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-7", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_QdS8xjYL48.mp4/_QdS8xjYL48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_QdS8xjYL48.mp4/_QdS8xjYL48.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_QdS8xjYL48.m3u8/_QdS8xjYL48.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_QdS8xjYL48&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f36aa8f", "sha": "d1be4b6f48777a2a016d228de1b37614d8d44a05", "translated_description": "", "image_url": "https://img.youtube.com/vi/_QdS8xjYL48/hqdefault.jpg", "youtube_id": "_QdS8xjYL48", "content_kind": "Video", "readable_id": "solderless-spout-7"}, {"translated_youtube_id": "ZbN_ispEm3A", "relative_url": "/video/solderless-spout-8", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-8", "duration": 275, "translated_title": "Connect the LEDs to an on/off switch", "translated_description_html": "", "id": "x6d4761cf", "description_html": "", "title": "Connect the LEDs to an on/off switch", "progress_key": "vx6d4761cf", "edit_slug": "edit/v/x6d4761cf", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-8", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZbN_ispEm3A.mp4/ZbN_ispEm3A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZbN_ispEm3A.mp4/ZbN_ispEm3A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZbN_ispEm3A.m3u8/ZbN_ispEm3A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZbN_ispEm3A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6d4761cf", "sha": "bfcbc8b881fe690f901370bb56319cf7b2dff178", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZbN_ispEm3A/hqdefault.jpg", "youtube_id": "ZbN_ispEm3A", "content_kind": "Video", "readable_id": "solderless-spout-8"}, {"translated_youtube_id": "VIdvlSFDl2c", "relative_url": "/video/solderless-spout-9", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-9", "duration": 115, "translated_title": "Attach Spout's antennae", "translated_description_html": "", "id": "x631d9462", "description_html": "", "title": "Attach Spout's antennae", "progress_key": "vx631d9462", "edit_slug": "edit/v/x631d9462", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-9", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VIdvlSFDl2c.mp4/VIdvlSFDl2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VIdvlSFDl2c.mp4/VIdvlSFDl2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VIdvlSFDl2c.m3u8/VIdvlSFDl2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VIdvlSFDl2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx631d9462", "sha": "5d917af24fe5127923a20518e29c26e4e0d2228f", "translated_description": "", "image_url": "https://img.youtube.com/vi/VIdvlSFDl2c/hqdefault.jpg", "youtube_id": "VIdvlSFDl2c", "content_kind": "Video", "readable_id": "solderless-spout-9"}, {"translated_youtube_id": "mDttV5UmJ1Q", "relative_url": "/video/solderless-spout-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-10", "duration": 131, "translated_title": "Add Spout's tail", "translated_description_html": "", "id": "xa39f8044", "description_html": "", "title": "Add Spout's tail", "progress_key": "vxa39f8044", "edit_slug": "edit/v/xa39f8044", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-10", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mDttV5UmJ1Q.mp4/mDttV5UmJ1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mDttV5UmJ1Q.mp4/mDttV5UmJ1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mDttV5UmJ1Q.m3u8/mDttV5UmJ1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mDttV5UmJ1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa39f8044", "sha": "5a9de062ffb8a1ac84ceba97aca3f92d62cbec69", "translated_description": "", "image_url": "https://img.youtube.com/vi/mDttV5UmJ1Q/hqdefault.jpg", "youtube_id": "mDttV5UmJ1Q", "content_kind": "Video", "readable_id": "solderless-spout-10"}, {"translated_youtube_id": "AwX4O87g1qk", "relative_url": "/video/solderless-spout-11", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/solderless-spout-11", "duration": 74, "translated_title": "Give Spout some grippy feet", "translated_description_html": "", "id": "x0b05c85e", "description_html": "", "title": "Give Spout some grippy feet", "progress_key": "vx0b05c85e", "edit_slug": "edit/v/x0b05c85e", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/solderless-spout-11", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-06T13:49:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AwX4O87g1qk.mp4/AwX4O87g1qk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AwX4O87g1qk.mp4/AwX4O87g1qk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AwX4O87g1qk.m3u8/AwX4O87g1qk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AwX4O87g1qk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0b05c85e", "sha": "0818d95e8970f4e50a71dac44d04cff1404ce9a6", "translated_description": "", "image_url": "https://img.youtube.com/vi/AwX4O87g1qk/hqdefault.jpg", "youtube_id": "AwX4O87g1qk", "content_kind": "Video", "readable_id": "solderless-spout-11"}], "twitter_url": "", "translated_description": "Build a Spout Bot without any solder", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Build a Spout Bot without any solder", "x_pos": 0.0, "node_slug": "Solderless-Spout-Bot", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T17:26:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax92a8ccbc", "topic_page_url": "/science/discoveries-projects/robots/Solderless-Spout-Bot", "extended_slug": "science/discoveries-projects/robots/Solderless-Spout-Bot", "slug": "Solderless-Spout-Bot", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "badd7846e14b5899c0b608eca636e0577cbb061a", "standalone_title": "Solderless Spout Bot", "y_pos": 0.0, "current_revision_key": "badd7846e14b5899c0b608eca636e0577cbb061a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots/Spider_bot", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots/Spider_bot", "translated_standalone_title": "Spider Bot by Karl R. C. Wendt ", "translated_title": "Spider Bot", "gplus_url": "", "id": "x989edfd5", "old_key_name": "C5GdZgup3Y_Qk3hGPmVgMF-hWmqg3MSuxxwu2cDS", "hide": false, "title": "Spider Bot", "child_data": [{"kind": "Video", "id": "xaab40dee"}, {"kind": "Video", "id": "xa2217895"}, {"kind": "Article", "id": "x8e775cc5"}, {"kind": "Article", "id": "x7365be54"}, {"kind": "Video", "id": 1378551671}, {"kind": "Video", "id": 1378412420}, {"kind": "Video", "id": 1379095162}, {"kind": "Video", "id": 1379116151}, {"kind": "Video", "id": 1378993508}, {"kind": "Video", "id": 1378992591}, {"kind": "Video", "id": 1378994700}, {"kind": "Video", "id": 1379093212}, {"kind": "Video", "id": 1379138063}, {"kind": "Video", "id": 1397303333}, {"kind": "Video", "id": 1379081289}, {"kind": "Video", "id": 1378982910}, {"kind": "Video", "id": 1379797015}, {"kind": "Article", "id": 1380614342}, {"kind": "Video", "id": 1401998447}], "children": [{"translated_youtube_id": "WfMfs6naKkE", "relative_url": "/video/santa_rita_spider_bots", "has_questions": false, "keywords": "spider, spider bot, make, hack, robot, project based learning, hands-on projects, Khan Academy, Arduino", "ka_url": "http://www.khanacademy.org/video/santa_rita_spider_bots", "duration": 699, "translated_title": "6th graders learn to build a Spider robot", "translated_description_html": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "id": "xaab40dee", "description_html": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "title": "6th graders learn to build a Spider robot", "progress_key": "vxaab40dee", "edit_slug": "edit/v/xaab40dee", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "extra_properties": {"original_url": ""}, "node_slug": "v/santa_rita_spider_bots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-29T05:39:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.mp4/WfMfs6naKkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.mp4/WfMfs6naKkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.m3u8/WfMfs6naKkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WfMfs6naKkE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxaab40dee", "sha": "f32f3cb37df84d4d0dc95adcb5b74cd53eb2ea76", "translated_description": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "image_url": "https://img.youtube.com/vi/WfMfs6naKkE/hqdefault.jpg", "youtube_id": "WfMfs6naKkE", "content_kind": "Video", "readable_id": "santa_rita_spider_bots"}, {"translated_youtube_id": "6DE6PNg58tM", "relative_url": "/video/fun-with-a-spider-bot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fun-with-a-spider-bot", "duration": 28, "translated_title": "Fun with Spider Bot", "translated_description_html": "", "id": "xa2217895", "description_html": "", "title": "Fun with Spider Bot", "progress_key": "vxa2217895", "edit_slug": "edit/v/xa2217895", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fun-with-a-spider-bot", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-09-11T20:48:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6DE6PNg58tM.mp4/6DE6PNg58tM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6DE6PNg58tM.mp4/6DE6PNg58tM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6DE6PNg58tM.m3u8/6DE6PNg58tM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6DE6PNg58tM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa2217895", "sha": "7a1c9ba902eb7d41575af899f654a8c9c760a94a", "translated_description": "", "image_url": "https://img.youtube.com/vi/6DE6PNg58tM/hqdefault.jpg", "youtube_id": "6DE6PNg58tM", "content_kind": "Video", "readable_id": "fun-with-a-spider-bot"}, {"translated_youtube_id": "Hp46Y6j_Qdc", "relative_url": "/video/1-spider-parts-and-tools", "has_questions": false, "keywords": "spider bot, make, diy, hack, building, hands-on projects, robots", "ka_url": "http://www.khanacademy.org/video/1-spider-parts-and-tools", "duration": 133, "translated_title": "Spider parts and tools", "translated_description_html": "

In this video we review some of the parts and tools you will need to build a spider bot.<\/p>\n", "id": "1378551671", "description_html": "

In this video we review some of the parts and tools you will need to build a spider bot.<\/p>\n", "title": "Spider parts and tools", "progress_key": "v1378551671", "edit_slug": "edit/v/1378551671", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we review some of the parts and tools you will need to build a spider bot.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/1-spider-parts-and-tools", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T03:56:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hp46Y6j_Qdc.mp4/Hp46Y6j_Qdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hp46Y6j_Qdc.mp4/Hp46Y6j_Qdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hp46Y6j_Qdc.m3u8/Hp46Y6j_Qdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hp46Y6j_Qdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378551671", "sha": "9e4e118ec5cd6067c9e7f79714a7238f2b5d643b", "translated_description": "In this video we review some of the parts and tools you will need to build a spider bot.\n", "image_url": "https://img.youtube.com/vi/Hp46Y6j_Qdc/hqdefault.jpg", "youtube_id": "Hp46Y6j_Qdc", "content_kind": "Video", "readable_id": "1-spider-parts-and-tools"}, {"translated_youtube_id": "7PgYb0c_3KE", "relative_url": "/video/2-Hacking-Spiders-click-n-stick", "has_questions": false, "keywords": "hack, tap light, click n' stick, spider, diy, make, hack, robot, small, inexpensive", "ka_url": "http://www.khanacademy.org/video/2-Hacking-Spiders-click-n-stick", "duration": 222, "translated_title": "Spider's click n' stick", "translated_description_html": "

In this video we show you how to hack a click n' stick tap light to make a body for Spider<\/p>\n", "id": "1378412420", "description_html": "

In this video we show you how to hack a click n' stick tap light to make a body for Spider<\/p>\n", "title": "Spider's click n' stick", "progress_key": "v1378412420", "edit_slug": "edit/v/1378412420", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to hack a click n' stick tap light to make a body for Spider\n", "extra_properties": {"original_url": ""}, "node_slug": "v/2-Hacking-Spiders-click-n-stick", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T04:22:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7PgYb0c_3KE.mp4/7PgYb0c_3KE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7PgYb0c_3KE.mp4/7PgYb0c_3KE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7PgYb0c_3KE.m3u8/7PgYb0c_3KE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7PgYb0c_3KE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378412420", "sha": "c852bbe08a9b9b44ba06ad97e64c2068c5433c73", "translated_description": "In this video we show you how to hack a click n' stick tap light to make a body for Spider\n", "image_url": "https://img.youtube.com/vi/7PgYb0c_3KE/hqdefault.jpg", "youtube_id": "7PgYb0c_3KE", "content_kind": "Video", "readable_id": "2-Hacking-Spiders-click-n-stick"}, {"translated_youtube_id": "6crKuLMj_b4", "relative_url": "/video/3-creating-the-battery-and-motor-mounts-for-spider", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/3-creating-the-battery-and-motor-mounts-for-spider", "duration": 388, "translated_title": "Battery and motor mounts for Spider", "translated_description_html": "

In this video we show you how to connect Spider's motors and batteries<\/p>\n", "id": "1379095162", "description_html": "

In this video we show you how to connect Spider's motors and batteries<\/p>\n", "title": "Battery and motor mounts for Spider", "progress_key": "v1379095162", "edit_slug": "edit/v/1379095162", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to connect Spider's motors and batteries\n", "extra_properties": {"original_url": ""}, "node_slug": "v/3-creating-the-battery-and-motor-mounts-for-spider", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6crKuLMj_b4.mp4/6crKuLMj_b4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6crKuLMj_b4.mp4/6crKuLMj_b4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6crKuLMj_b4.m3u8/6crKuLMj_b4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6crKuLMj_b4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379095162", "sha": "66a353cc922d71598672f095392e4c67c3706756", "translated_description": "In this video we show you how to connect Spider's motors and batteries\n", "image_url": "https://img.youtube.com/vi/6crKuLMj_b4/hqdefault.jpg", "youtube_id": "6crKuLMj_b4", "content_kind": "Video", "readable_id": "3-creating-the-battery-and-motor-mounts-for-spider"}, {"translated_youtube_id": "TDpQ5xL1EEE", "relative_url": "/video/4-attach-spider-s-click-n-stick-base-to-the-batteries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/4-attach-spider-s-click-n-stick-base-to-the-batteries", "duration": 150, "translated_title": "Click n' stick base & batteries", "translated_description_html": "

In this video we show you how to connect Spider's motors to his tap light base.<\/p>\n", "id": "1379116151", "description_html": "

In this video we show you how to connect Spider's motors to his tap light base.<\/p>\n", "title": "Click n' stick base & batteries", "progress_key": "v1379116151", "edit_slug": "edit/v/1379116151", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we show you how to connect Spider's motors to his tap light base.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/4-attach-spider-s-click-n-stick-base-to-the-batteries", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:47:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TDpQ5xL1EEE.mp4/TDpQ5xL1EEE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TDpQ5xL1EEE.mp4/TDpQ5xL1EEE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TDpQ5xL1EEE.m3u8/TDpQ5xL1EEE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TDpQ5xL1EEE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379116151", "sha": "a3f958df9a4b35591322ba8dea95f8ec980cb789", "translated_description": "In this video we show you how to connect Spider's motors to his tap light base.\n", "image_url": "https://img.youtube.com/vi/TDpQ5xL1EEE/hqdefault.jpg", "youtube_id": "TDpQ5xL1EEE", "content_kind": "Video", "readable_id": "4-attach-spider-s-click-n-stick-base-to-the-batteries"}, {"translated_youtube_id": "gW54YZzQsHE", "relative_url": "/video/5-attach-spider-s-motor-controller-and-wire-his-motors", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/5-attach-spider-s-motor-controller-and-wire-his-motors", "duration": 208, "translated_title": "Spider's motor controller", "translated_description_html": "

In this video we show you how to connect and wire Spider's motor controller.<\/p>\n", "id": "1378993508", "description_html": "

In this video we show you how to connect and wire Spider's motor controller.<\/p>\n", "title": "Spider's motor controller", "progress_key": "v1378993508", "edit_slug": "edit/v/1378993508", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we show you how to connect and wire Spider's motor controller.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/5-attach-spider-s-motor-controller-and-wire-his-motors", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:47:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gW54YZzQsHE.mp4/gW54YZzQsHE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gW54YZzQsHE.mp4/gW54YZzQsHE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gW54YZzQsHE.m3u8/gW54YZzQsHE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gW54YZzQsHE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378993508", "sha": "d4e3d78481efaddd1fccb5f199591ef0d91d7a11", "translated_description": "In this video we show you how to connect and wire Spider's motor controller.\n", "image_url": "https://img.youtube.com/vi/gW54YZzQsHE/hqdefault.jpg", "youtube_id": "gW54YZzQsHE", "content_kind": "Video", "readable_id": "5-attach-spider-s-motor-controller-and-wire-his-motors"}, {"translated_youtube_id": "k2_PdizIgN4", "relative_url": "/video/6-connect-spider-s-power-switch-and-run-the-power-wires-to-the-motor-controller", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/6-connect-spider-s-power-switch-and-run-the-power-wires-to-the-motor-controller", "duration": 374, "translated_title": "Spider's power switch", "translated_description_html": "", "id": "1378992591", "description_html": "", "title": "Spider's power switch", "progress_key": "v1378992591", "edit_slug": "edit/v/1378992591", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/6-connect-spider-s-power-switch-and-run-the-power-wires-to-the-motor-controller", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k2_PdizIgN4.mp4/k2_PdizIgN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k2_PdizIgN4.mp4/k2_PdizIgN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k2_PdizIgN4.m3u8/k2_PdizIgN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k2_PdizIgN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378992591", "sha": "fe94deeb941e5e8cabb647f36fb5de5972c47fee", "translated_description": "", "image_url": "https://img.youtube.com/vi/k2_PdizIgN4/hqdefault.jpg", "youtube_id": "k2_PdizIgN4", "content_kind": "Video", "readable_id": "6-connect-spider-s-power-switch-and-run-the-power-wires-to-the-motor-controller"}, {"translated_youtube_id": "xg2OHgS0ijk", "relative_url": "/video/7-attach-and-adjust-the-spider-s-bezel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/7-attach-and-adjust-the-spider-s-bezel", "duration": 73, "translated_title": "Spider's bezel", "translated_description_html": "", "id": "1378994700", "description_html": "", "title": "Spider's bezel", "progress_key": "v1378994700", "edit_slug": "edit/v/1378994700", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/7-attach-and-adjust-the-spider-s-bezel", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:49:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xg2OHgS0ijk.mp4/xg2OHgS0ijk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xg2OHgS0ijk.mp4/xg2OHgS0ijk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xg2OHgS0ijk.m3u8/xg2OHgS0ijk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xg2OHgS0ijk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378994700", "sha": "5c92cc22ecdffef114ab21bfd3a2f641f71475f5", "translated_description": "", "image_url": "https://img.youtube.com/vi/xg2OHgS0ijk/hqdefault.jpg", "youtube_id": "xg2OHgS0ijk", "content_kind": "Video", "readable_id": "7-attach-and-adjust-the-spider-s-bezel"}, {"translated_youtube_id": "kPrv93a5L0I", "relative_url": "/video/8-attach-spider-s-wheels", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/8-attach-spider-s-wheels", "duration": 169, "translated_title": "Spider's wheels", "translated_description_html": "", "id": "1379093212", "description_html": "", "title": "Spider's wheels", "progress_key": "v1379093212", "edit_slug": "edit/v/1379093212", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/8-attach-spider-s-wheels", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:50:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kPrv93a5L0I.mp4/kPrv93a5L0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kPrv93a5L0I.mp4/kPrv93a5L0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kPrv93a5L0I.m3u8/kPrv93a5L0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kPrv93a5L0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379093212", "sha": "b4c26b4602c8db80ef378f35e603c65a0ec6fc9f", "translated_description": "", "image_url": "https://img.youtube.com/vi/kPrv93a5L0I/hqdefault.jpg", "youtube_id": "kPrv93a5L0I", "content_kind": "Video", "readable_id": "8-attach-spider-s-wheels"}, {"translated_youtube_id": "FfyNtrmmGEI", "relative_url": "/video/9-make-the-connnectors-for-spider-s-arduino-nano", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/9-make-the-connnectors-for-spider-s-arduino-nano", "duration": 340, "translated_title": "Spider's Arduino Nano", "translated_description_html": "", "id": "1379138063", "description_html": "", "title": "Spider's Arduino Nano", "progress_key": "v1379138063", "edit_slug": "edit/v/1379138063", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/9-make-the-connnectors-for-spider-s-arduino-nano", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:50:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FfyNtrmmGEI.mp4/FfyNtrmmGEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FfyNtrmmGEI.mp4/FfyNtrmmGEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FfyNtrmmGEI.m3u8/FfyNtrmmGEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FfyNtrmmGEI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379138063", "sha": "6bb2c1e31c18aebebc608390823668628efb1902", "translated_description": "", "image_url": "https://img.youtube.com/vi/FfyNtrmmGEI/hqdefault.jpg", "youtube_id": "FfyNtrmmGEI", "content_kind": "Video", "readable_id": "9-make-the-connnectors-for-spider-s-arduino-nano"}, {"translated_youtube_id": "qGbRrM5hWq4", "relative_url": "/video/10-spider---connect-the-power-and-signal-wires-from-the-motor-controller-to-the-arduino", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/10-spider---connect-the-power-and-signal-wires-from-the-motor-controller-to-the-arduino", "duration": 125, "translated_title": "Motor controller connections", "translated_description_html": "", "id": "1397303333", "description_html": "", "title": "Motor controller connections", "progress_key": "v1397303333", "edit_slug": "edit/v/1397303333", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/10-spider---connect-the-power-and-signal-wires-from-the-motor-controller-to-the-arduino", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-20T21:51:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qGbRrM5hWq4.mp4/qGbRrM5hWq4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qGbRrM5hWq4.mp4/qGbRrM5hWq4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qGbRrM5hWq4.m3u8/qGbRrM5hWq4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qGbRrM5hWq4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1397303333", "sha": "9d64d01d99f9bac61470d3da1a0477a74199c881", "translated_description": "", "image_url": "https://img.youtube.com/vi/qGbRrM5hWq4/hqdefault.jpg", "youtube_id": "qGbRrM5hWq4", "content_kind": "Video", "readable_id": "10-spider---connect-the-power-and-signal-wires-from-the-motor-controller-to-the-arduino"}, {"translated_youtube_id": "nW0CVmMHovM", "relative_url": "/video/10-attach-spider-s--led-eyes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/10-attach-spider-s--led-eyes", "duration": 363, "translated_title": "Spider's LED eyes", "translated_description_html": "", "id": "1379081289", "description_html": "", "title": "Spider's LED eyes", "progress_key": "v1379081289", "edit_slug": "edit/v/1379081289", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/10-attach-spider-s--led-eyes", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:51:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nW0CVmMHovM.mp4/nW0CVmMHovM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nW0CVmMHovM.mp4/nW0CVmMHovM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nW0CVmMHovM.m3u8/nW0CVmMHovM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nW0CVmMHovM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379081289", "sha": "ad95c8cee545de0788bf6a4d3c3ff037682b77f3", "translated_description": "", "image_url": "https://img.youtube.com/vi/nW0CVmMHovM/hqdefault.jpg", "youtube_id": "nW0CVmMHovM", "content_kind": "Video", "readable_id": "10-attach-spider-s--led-eyes"}, {"translated_youtube_id": "l3BoIj9_oRs", "relative_url": "/video/11-connect-spider-s-stablizer-bar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/11-connect-spider-s-stablizer-bar", "duration": 78, "translated_title": "Spider's stablizer bar", "translated_description_html": "", "id": "1378982910", "description_html": "", "title": "Spider's stablizer bar", "progress_key": "v1378982910", "edit_slug": "edit/v/1378982910", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/11-connect-spider-s-stablizer-bar", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T06:51:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l3BoIj9_oRs.mp4/l3BoIj9_oRs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l3BoIj9_oRs.mp4/l3BoIj9_oRs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l3BoIj9_oRs.m3u8/l3BoIj9_oRs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l3BoIj9_oRs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1378982910", "sha": "8027e65cc6e5250c3fc9dfd1acf84d3776bf215c", "translated_description": "", "image_url": "https://img.youtube.com/vi/l3BoIj9_oRs/hqdefault.jpg", "youtube_id": "l3BoIj9_oRs", "content_kind": "Video", "readable_id": "11-connect-spider-s-stablizer-bar"}, {"translated_youtube_id": "ubXjr_dQ-y0", "relative_url": "/video/12-spiders-romance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/12-spiders-romance", "duration": 44, "translated_title": "Spider's romance", "translated_description_html": "

Happy Valentines Day from Khan Academy Projects<\/p>\n", "id": "1379797015", "description_html": "

Happy Valentines Day from Khan Academy Projects<\/p>\n", "title": "Spider's romance", "progress_key": "v1379797015", "edit_slug": "edit/v/1379797015", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Happy Valentines Day from Khan Academy Projects\n", "extra_properties": {"original_url": ""}, "node_slug": "v/12-spiders-romance", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-14T22:27:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ubXjr_dQ-y0.mp4/ubXjr_dQ-y0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ubXjr_dQ-y0.mp4/ubXjr_dQ-y0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ubXjr_dQ-y0.m3u8/ubXjr_dQ-y0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ubXjr_dQ-y0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1379797015", "sha": "d934f36f0a950db668b89e1d9b01ac2fe4d49ff6", "translated_description": "Happy Valentines Day from Khan Academy Projects\n", "image_url": "https://img.youtube.com/vi/ubXjr_dQ-y0/hqdefault.jpg", "youtube_id": "ubXjr_dQ-y0", "content_kind": "Video", "readable_id": "12-spiders-romance"}, {"translated_youtube_id": "yBCB9CvVdpg", "relative_url": "/video/15-ben-eater-s-spider-bot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/15-ben-eater-s-spider-bot", "duration": 195, "translated_title": "Ben Eater's Spider", "translated_description_html": "

In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.<\/p>\n", "id": "1401998447", "description_html": "

In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.<\/p>\n", "title": "Ben Eater's Spider", "progress_key": "v1401998447", "edit_slug": "edit/v/1401998447", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/15-ben-eater-s-spider-bot", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-02-22T06:53:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yBCB9CvVdpg.mp4/yBCB9CvVdpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yBCB9CvVdpg.mp4/yBCB9CvVdpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yBCB9CvVdpg.m3u8/yBCB9CvVdpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yBCB9CvVdpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1401998447", "sha": "4c5cfe1b32805d3925be17b0d7504fd2af58f586", "translated_description": "In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.\n", "image_url": "https://img.youtube.com/vi/yBCB9CvVdpg/hqdefault.jpg", "youtube_id": "yBCB9CvVdpg", "content_kind": "Video", "readable_id": "15-ben-eater-s-spider-bot"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "Spider_bot", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax989edfd5", "topic_page_url": "/science/discoveries-projects/robots/Spider_bot", "extended_slug": "science/discoveries-projects/robots/Spider_bot", "slug": "Spider_bot", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ff2573d406823a64d411af1cc91a46e39b6e7fce", "standalone_title": "Spider Bot by Karl R. C. Wendt ", "y_pos": 0.0, "current_revision_key": "ff2573d406823a64d411af1cc91a46e39b6e7fce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/robots/Bit-zee", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/robots/Bit-zee", "translated_standalone_title": "Bit-zee Bot", "translated_title": "Bit-zee Bot by Karl R. C. Wendt ", "gplus_url": "", "id": "x4767a89b", "old_key_name": "SvO13TSWYo3SiREcunV-PkMASTxPqJ_OaHaYob-U", "hide": false, "title": "Bit-zee Bot by Karl R. C. Wendt ", "child_data": [{"kind": "Video", "id": 1077533640}, {"kind": "Video", "id": 1084192062}, {"kind": "Article", "id": "x2191f4d6"}, {"kind": "Article", "id": "xa9d930f8"}, {"kind": "Video", "id": 1079212624}, {"kind": "Video", "id": 1118389351}, {"kind": "Video", "id": 1118650171}, {"kind": "Video", "id": 1124617722}, {"kind": "Video", "id": 1125966706}, {"kind": "Video", "id": 1126273384}, {"kind": "Video", "id": 1126680590}, {"kind": "Video", "id": 1131963985}, {"kind": "Video", "id": 1132083657}, {"kind": "Video", "id": 1126997117}, {"kind": "Video", "id": 1115746507}, {"kind": "Video", "id": 1115230216}, {"kind": "Video", "id": 1132107561}, {"kind": "Video", "id": 1128334291}, {"kind": "Video", "id": 1128609901}, {"kind": "Video", "id": 1131599025}, {"kind": "Video", "id": 1132629473}, {"kind": "Video", "id": 1134600769}, {"kind": "Video", "id": 1135006386}, {"kind": "Video", "id": 1220108304}, {"kind": "Video", "id": 1178339328}, {"kind": "Video", "id": 1220162268}, {"kind": "Video", "id": 1220192283}, {"kind": "Video", "id": 1220997323}, {"kind": "Video", "id": 1220977278}, {"kind": "Video", "id": 1220940750}, {"kind": "Video", "id": 1220722985}, {"kind": "Article", "id": 1396323351}], "children": [{"translated_youtube_id": "CcziDRr5Myc", "relative_url": "/video/bit-zee classroom", "has_questions": false, "keywords": "Bit-zee bot", "ka_url": "http://www.khanacademy.org/video/bit-zee classroom", "duration": 71, "translated_title": "Bit-zeeeeeeeeeee", "translated_description_html": "

Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home<\/p>\n", "id": "1077533640", "description_html": "

Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home<\/p>\n", "title": "Bit-zeeeeeeeeeee", "progress_key": "v1077533640", "edit_slug": "edit/v/1077533640", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee classroom", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-09T05:17:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.mp4/CcziDRr5Myc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.mp4/CcziDRr5Myc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CcziDRr5Myc.m3u8/CcziDRr5Myc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CcziDRr5Myc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1077533640", "sha": "932e460c1667ba6de97d8a1c5a1a9f1330e4f899", "translated_description": "Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home\n", "image_url": "https://img.youtube.com/vi/CcziDRr5Myc/hqdefault.jpg", "youtube_id": "CcziDRr5Myc", "content_kind": "Video", "readable_id": "bit-zee classroom"}, {"translated_youtube_id": "KmmFBC0gNSg", "relative_url": "/video/Bit-zee-long-version", "has_questions": false, "keywords": "Bit-zee goes to school", "ka_url": "http://www.khanacademy.org/video/Bit-zee-long-version", "duration": 142, "translated_title": "Bit-zeeeeeeeeeee (long version)", "translated_description_html": "

Bit-zee goes to school<\/p>\n", "id": "1084192062", "description_html": "

Bit-zee goes to school<\/p>\n", "title": "Bit-zeeeeeeeeeee (long version)", "progress_key": "v1084192062", "edit_slug": "edit/v/1084192062", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bit-zee goes to school\n", "extra_properties": {"original_url": ""}, "node_slug": "v/Bit-zee-long-version", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-12T19:00:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KmmFBC0gNSg.mp4/KmmFBC0gNSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KmmFBC0gNSg.mp4/KmmFBC0gNSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KmmFBC0gNSg.m3u8/KmmFBC0gNSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KmmFBC0gNSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1084192062", "sha": "5cb40004cba2024e7959c8d93f081754266f09b3", "translated_description": "Bit-zee goes to school\n", "image_url": "https://img.youtube.com/vi/KmmFBC0gNSg/hqdefault.jpg", "youtube_id": "KmmFBC0gNSg", "content_kind": "Video", "readable_id": "Bit-zee-long-version"}, {"translated_youtube_id": "mwP5OHJe1ak", "relative_url": "/video/bit-zee-intro", "has_questions": false, "keywords": "Bit-zee introduction", "ka_url": "http://www.khanacademy.org/video/bit-zee-intro", "duration": 219, "translated_title": "Introduction", "translated_description_html": "

In this video we discuss some of the key parts of Bit-zee<\/p>\n", "id": "1079212624", "description_html": "

In this video we discuss some of the key parts of Bit-zee<\/p>\n", "title": "Introduction", "progress_key": "v1079212624", "edit_slug": "edit/v/1079212624", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we discuss some of the key parts of Bit-zee\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-intro", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-10T01:44:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mwP5OHJe1ak.mp4/mwP5OHJe1ak.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mwP5OHJe1ak.mp4/mwP5OHJe1ak.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mwP5OHJe1ak.m3u8/mwP5OHJe1ak.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mwP5OHJe1ak&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1079212624", "sha": "6ffa025212dad21b2897a9693eb58623bdbcfc88", "translated_description": "In this video we discuss some of the key parts of Bit-zee\n", "image_url": "https://img.youtube.com/vi/mwP5OHJe1ak/hqdefault.jpg", "youtube_id": "mwP5OHJe1ak", "content_kind": "Video", "readable_id": "bit-zee-intro"}, {"translated_youtube_id": "Kq0Er6JBMmc", "relative_url": "/video/bit-zee-planning-and-propulsion", "has_questions": false, "keywords": "Planning, brainstorming, voltage, motor, propulsion techniques, key components, robotics", "ka_url": "http://www.khanacademy.org/video/bit-zee-planning-and-propulsion", "duration": 503, "translated_title": "Planning and propulsion", "translated_description_html": "

The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.<\/p>\n", "id": "1118389351", "description_html": "

The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.<\/p>\n", "title": "Planning and propulsion", "progress_key": "v1118389351", "edit_slug": "edit/v/1118389351", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-planning-and-propulsion", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-01T20:15:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.m3u8/Kq0Er6JBMmc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kq0Er6JBMmc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1118389351", "sha": "bd9077116e5cfdd702caea5a640b021bf8d90190", "translated_description": "The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.\n", "image_url": "https://img.youtube.com/vi/Kq0Er6JBMmc/hqdefault.jpg", "youtube_id": "Kq0Er6JBMmc", "content_kind": "Video", "readable_id": "bit-zee-planning-and-propulsion"}, {"translated_youtube_id": "VnfpSf6YxuU", "relative_url": "/video/bit-zee-s-bits", "has_questions": false, "keywords": "Hack bots, hacked robot, hacking everyday products, robot, Bit-zee", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-bits", "duration": 226, "translated_title": "Parts", "translated_description_html": "

In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.<\/p>\n", "id": "1118650171", "description_html": "

In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.<\/p>\n", "title": "Parts", "progress_key": "v1118650171", "edit_slug": "edit/v/1118650171", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-bits", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-01T22:36:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VnfpSf6YxuU.mp4/VnfpSf6YxuU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VnfpSf6YxuU.mp4/VnfpSf6YxuU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VnfpSf6YxuU.m3u8/VnfpSf6YxuU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VnfpSf6YxuU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1118650171", "sha": "4fd62ed9acb3bd1c5f8a84d6eb3194cdb1b2230d", "translated_description": "In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.\n", "image_url": "https://img.youtube.com/vi/VnfpSf6YxuU/hqdefault.jpg", "youtube_id": "VnfpSf6YxuU", "content_kind": "Video", "readable_id": "bit-zee-s-bits"}, {"translated_youtube_id": "jo1bjsBbcc8", "relative_url": "/video/bit-zee-s-chassis--timelapse---mov", "has_questions": false, "keywords": "Bit-zee's body, Bit-zee's chassis, robot frame, robot structure", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-chassis--timelapse---mov", "duration": 399, "translated_title": "Chassis/frame", "translated_description_html": "

In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing<\/p>\n", "id": "1124617722", "description_html": "

In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing<\/p>\n", "title": "Chassis/frame", "progress_key": "v1124617722", "edit_slug": "edit/v/1124617722", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-chassis--timelapse---mov", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-05T22:59:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jo1bjsBbcc8.mp4/jo1bjsBbcc8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jo1bjsBbcc8.mp4/jo1bjsBbcc8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jo1bjsBbcc8.m3u8/jo1bjsBbcc8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jo1bjsBbcc8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1124617722", "sha": "e6db5384265dd72c9bb1004dda5d25d68b6e1e09", "translated_description": "In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing\n", "image_url": "https://img.youtube.com/vi/jo1bjsBbcc8/hqdefault.jpg", "youtube_id": "jo1bjsBbcc8", "content_kind": "Video", "readable_id": "bit-zee-s-chassis--timelapse---mov"}, {"translated_youtube_id": "bP__iEY9yTs", "relative_url": "/video/bit-zee-s-wheel-mounts-and-fenders", "has_questions": false, "keywords": "wheel mounts and frames", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-wheel-mounts-and-fenders", "duration": 602, "translated_title": "Wheel mounts and fenders", "translated_description_html": "

In this video we show you how to create Bit-zee's fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee's frame.<\/p>\n", "id": "1125966706", "description_html": "

In this video we show you how to create Bit-zee's fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee's frame.<\/p>\n", "title": "Wheel mounts and fenders", "progress_key": "v1125966706", "edit_slug": "edit/v/1125966706", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to create Bit-zee's fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee's frame.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-wheel-mounts-and-fenders", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-06T18:51:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bP__iEY9yTs.mp4/bP__iEY9yTs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bP__iEY9yTs.mp4/bP__iEY9yTs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bP__iEY9yTs.m3u8/bP__iEY9yTs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bP__iEY9yTs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1125966706", "sha": "dc54270800e5ead60504253dedeb6fcf66d6c2b5", "translated_description": "In this video we show you how to create Bit-zee's fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee's frame.\n", "image_url": "https://img.youtube.com/vi/bP__iEY9yTs/hqdefault.jpg", "youtube_id": "bP__iEY9yTs", "content_kind": "Video", "readable_id": "bit-zee-s-wheel-mounts-and-fenders"}, {"translated_youtube_id": "YvUWkJcfp1w", "relative_url": "/video/bit-zee-s-component-mounting-holes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-component-mounting-holes", "duration": 331, "translated_title": "Component mounting holes", "translated_description_html": "

In this video we show you how and where to create the mounting holes in BIt-zee's Lexan base for the arduino, batteries, camera, on/off switch and wire routing.<\/p>\n", "id": "1126273384", "description_html": "

In this video we show you how and where to create the mounting holes in BIt-zee's Lexan base for the arduino, batteries, camera, on/off switch and wire routing.<\/p>\n", "title": "Component mounting holes", "progress_key": "v1126273384", "edit_slug": "edit/v/1126273384", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we show you how and where to create the mounting holes in BIt-zee's Lexan base for the arduino, batteries, camera, on/off switch and wire routing.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-component-mounting-holes", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-06T20:58:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YvUWkJcfp1w.mp4/YvUWkJcfp1w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YvUWkJcfp1w.mp4/YvUWkJcfp1w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YvUWkJcfp1w.m3u8/YvUWkJcfp1w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YvUWkJcfp1w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1126273384", "sha": "136c9d176831397ca47720cee842919671690418", "translated_description": "In this video we show you how and where to create the mounting holes in BIt-zee's Lexan base for the arduino, batteries, camera, on/off switch and wire routing.\n", "image_url": "https://img.youtube.com/vi/YvUWkJcfp1w/hqdefault.jpg", "youtube_id": "YvUWkJcfp1w", "content_kind": "Video", "readable_id": "bit-zee-s-component-mounting-holes"}, {"translated_youtube_id": "L8NrBjd1aNo", "relative_url": "/video/bit-zee-s-batteries", "has_questions": false, "keywords": "Batteries, Bit-zee, robot power", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-batteries", "duration": 136, "translated_title": "Batteries/power", "translated_description_html": "

In this video we install 8 AA batteries in Bit-zee's frame using zip ties.<\/p>\n", "id": "1126680590", "description_html": "

In this video we install 8 AA batteries in Bit-zee's frame using zip ties.<\/p>\n", "title": "Batteries/power", "progress_key": "v1126680590", "edit_slug": "edit/v/1126680590", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "In this video we install 8 AA batteries in Bit-zee's frame using zip ties.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-batteries", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-07T01:37:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L8NrBjd1aNo.mp4/L8NrBjd1aNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L8NrBjd1aNo.mp4/L8NrBjd1aNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L8NrBjd1aNo.m3u8/L8NrBjd1aNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L8NrBjd1aNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1126680590", "sha": "8ea8ef4138bbd3b1cab6150c08ee295fd10e1d0d", "translated_description": "In this video we install 8 AA batteries in Bit-zee's frame using zip ties.\n", "image_url": "https://img.youtube.com/vi/L8NrBjd1aNo/hqdefault.jpg", "youtube_id": "L8NrBjd1aNo", "content_kind": "Video", "readable_id": "bit-zee-s-batteries"}, {"translated_youtube_id": "h8S-dOQe1-0", "relative_url": "/video/improving-the-battery-wires", "has_questions": false, "keywords": "battery wires, gauge, upgrade, make, hack, bit-zee, bot", "ka_url": "http://www.khanacademy.org/video/improving-the-battery-wires", "duration": 197, "translated_title": "Battery wires", "translated_description_html": "

In this video we upgrade Bit-zee' battery wires from 32 gage to 18 gauge.<\/p>\n", "id": "1131963985", "description_html": "

In this video we upgrade Bit-zee' battery wires from 32 gage to 18 gauge.<\/p>\n", "title": "Battery wires", "progress_key": "v1131963985", "edit_slug": "edit/v/1131963985", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we upgrade Bit-zee' battery wires from 32 gage to 18 gauge.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/improving-the-battery-wires", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-08T23:39:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h8S-dOQe1-0.mp4/h8S-dOQe1-0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h8S-dOQe1-0.mp4/h8S-dOQe1-0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h8S-dOQe1-0.m3u8/h8S-dOQe1-0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h8S-dOQe1-0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1131963985", "sha": "d95ed216ddc28f4ed84f63cbea9ab11379e75a05", "translated_description": "In this video we upgrade Bit-zee' battery wires from 32 gage to 18 gauge.\n", "image_url": "https://img.youtube.com/vi/h8S-dOQe1-0/hqdefault.jpg", "youtube_id": "h8S-dOQe1-0", "content_kind": "Video", "readable_id": "improving-the-battery-wires"}, {"translated_youtube_id": "ebGzJabI3mw", "relative_url": "/video/connecting-bit-zee-s-power-wires-and-on-off-switch", "has_questions": false, "keywords": "power, power wires, on/off switch, bit-zee, hack, make", "ka_url": "http://www.khanacademy.org/video/connecting-bit-zee-s-power-wires-and-on-off-switch", "duration": 282, "translated_title": "Power wires and on/off switch", "translated_description_html": "

In this video we show you how to switch on and off Bit-zee's electrical power.<\/p>\n", "id": "1132083657", "description_html": "

In this video we show you how to switch on and off Bit-zee's electrical power.<\/p>\n", "title": "Power wires and on/off switch", "progress_key": "v1132083657", "edit_slug": "edit/v/1132083657", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we show you how to switch on and off Bit-zee's electrical power.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/connecting-bit-zee-s-power-wires-and-on-off-switch", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-08T23:33:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ebGzJabI3mw.mp4/ebGzJabI3mw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ebGzJabI3mw.mp4/ebGzJabI3mw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ebGzJabI3mw.m3u8/ebGzJabI3mw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ebGzJabI3mw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1132083657", "sha": "7a39ab5f2258dbf2be3d5b4682ea5f6ba22844be", "translated_description": "In this video we show you how to switch on and off Bit-zee's electrical power.\n", "image_url": "https://img.youtube.com/vi/ebGzJabI3mw/hqdefault.jpg", "youtube_id": "ebGzJabI3mw", "content_kind": "Video", "readable_id": "connecting-bit-zee-s-power-wires-and-on-off-switch"}, {"translated_youtube_id": "iU1oIFPM1-I", "relative_url": "/video/wiring---installing-bit-zee-s-motors", "has_questions": false, "keywords": "motors, wiring, Bit-zee, hair dryer", "ka_url": "http://www.khanacademy.org/video/wiring---installing-bit-zee-s-motors", "duration": 369, "translated_title": "Motors/propulsion", "translated_description_html": "

In this video we re-wire Bit-zee's motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.<\/p>\n", "id": "1126997117", "description_html": "

In this video we re-wire Bit-zee's motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.<\/p>\n", "title": "Motors/propulsion", "progress_key": "v1126997117", "edit_slug": "edit/v/1126997117", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we re-wire Bit-zee's motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/wiring---installing-bit-zee-s-motors", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-07T02:52:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.mp4/iU1oIFPM1-I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.mp4/iU1oIFPM1-I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.m3u8/iU1oIFPM1-I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iU1oIFPM1-I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1126997117", "sha": "61b23d030fbea73921f60e1bcb49fdda8f432ebd", "translated_description": "In this video we re-wire Bit-zee's motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.\n", "image_url": "https://img.youtube.com/vi/iU1oIFPM1-I/hqdefault.jpg", "youtube_id": "iU1oIFPM1-I", "content_kind": "Video", "readable_id": "wiring---installing-bit-zee-s-motors"}, {"translated_youtube_id": "7CqigPmXyv8", "relative_url": "/video/why-does-bit-zee-need-a-motor-controller", "has_questions": false, "keywords": "Motor controller, Bit-zee, motor driver, L298", "ka_url": "http://www.khanacademy.org/video/why-does-bit-zee-need-a-motor-controller", "duration": 329, "translated_title": "Motor controller functions", "translated_description_html": "

This video outlines in simple terms why a motor controller is needed and what it does<\/p>\n", "id": "1115746507", "description_html": "

This video outlines in simple terms why a motor controller is needed and what it does<\/p>\n", "title": "Motor controller functions", "progress_key": "v1115746507", "edit_slug": "edit/v/1115746507", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This video outlines in simple terms why a motor controller is needed and what it does\n", "extra_properties": {"original_url": ""}, "node_slug": "v/why-does-bit-zee-need-a-motor-controller", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-31T03:33:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7CqigPmXyv8.mp4/7CqigPmXyv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7CqigPmXyv8.mp4/7CqigPmXyv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7CqigPmXyv8.m3u8/7CqigPmXyv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7CqigPmXyv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1115746507", "sha": "729886e898869e471f6c3f546ad6f74bfe418b97", "translated_description": "This video outlines in simple terms why a motor controller is needed and what it does\n", "image_url": "https://img.youtube.com/vi/7CqigPmXyv8/hqdefault.jpg", "youtube_id": "7CqigPmXyv8", "content_kind": "Video", "readable_id": "why-does-bit-zee-need-a-motor-controller"}, {"translated_youtube_id": "T4iRq8_ZmAA", "relative_url": "/video/Bit-zee's-motor-controller", "has_questions": false, "keywords": "Motor controller, L297, Bit-zee bot, motor driver,", "ka_url": "http://www.khanacademy.org/video/Bit-zee's-motor-controller", "duration": 602, "translated_title": "Motor controller", "translated_description_html": "

In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.<\/p>\n", "id": "1115230216", "description_html": "

In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.<\/p>\n", "title": "Motor controller", "progress_key": "v1115230216", "edit_slug": "edit/v/1115230216", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/Bit-zee's-motor-controller", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-10-30T22:14:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T4iRq8_ZmAA.mp4/T4iRq8_ZmAA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T4iRq8_ZmAA.mp4/T4iRq8_ZmAA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T4iRq8_ZmAA.m3u8/T4iRq8_ZmAA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T4iRq8_ZmAA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1115230216", "sha": "1fc45ca88a271b5ad748a055036895f4e22f2aab", "translated_description": "In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.\n", "image_url": "https://img.youtube.com/vi/T4iRq8_ZmAA/hqdefault.jpg", "youtube_id": "T4iRq8_ZmAA", "content_kind": "Video", "readable_id": "Bit-zee's-motor-controller"}, {"translated_youtube_id": "CSXP02Cl3zM", "relative_url": "/video/attach-and-wire-bit-zee-s-motor-controller", "has_questions": false, "keywords": "Attach motor controller, L-298, Bit-zee, make, hack, diy", "ka_url": "http://www.khanacademy.org/video/attach-and-wire-bit-zee-s-motor-controller", "duration": 393, "translated_title": "Motor controller connections", "translated_description_html": "

In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee's frame.<\/p>\n", "id": "1132107561", "description_html": "

In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee's frame.<\/p>\n", "title": "Motor controller connections", "progress_key": "v1132107561", "edit_slug": "edit/v/1132107561", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee's frame.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/attach-and-wire-bit-zee-s-motor-controller", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-08T23:43:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CSXP02Cl3zM.mp4/CSXP02Cl3zM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CSXP02Cl3zM.mp4/CSXP02Cl3zM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CSXP02Cl3zM.m3u8/CSXP02Cl3zM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CSXP02Cl3zM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1132107561", "sha": "e45a8e314e9fa17519f3a8248b24049703774e4e", "translated_description": "In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee's frame.\n", "image_url": "https://img.youtube.com/vi/CSXP02Cl3zM/hqdefault.jpg", "youtube_id": "CSXP02Cl3zM", "content_kind": "Video", "readable_id": "attach-and-wire-bit-zee-s-motor-controller"}, {"translated_youtube_id": "o0XKRK3a3cs", "relative_url": "/video/attaching-bit-zee-s-arduino", "has_questions": false, "keywords": "Arduino, microcontroller, connections", "ka_url": "http://www.khanacademy.org/video/attaching-bit-zee-s-arduino", "duration": 304, "translated_title": "Arduino connections", "translated_description_html": "

In this video we show you how to connect Bit-zee's Arduino micro-controller to his frame.<\/p>\n", "id": "1128334291", "description_html": "

In this video we show you how to connect Bit-zee's Arduino micro-controller to his frame.<\/p>\n", "title": "Arduino connections", "progress_key": "v1128334291", "edit_slug": "edit/v/1128334291", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to connect Bit-zee's Arduino micro-controller to his frame.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/attaching-bit-zee-s-arduino", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-07T18:00:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o0XKRK3a3cs.mp4/o0XKRK3a3cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o0XKRK3a3cs.mp4/o0XKRK3a3cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o0XKRK3a3cs.m3u8/o0XKRK3a3cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o0XKRK3a3cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1128334291", "sha": "c09997d4abff8757f583c57c439bed49ee994ae8", "translated_description": "In this video we show you how to connect Bit-zee's Arduino micro-controller to his frame.\n", "image_url": "https://img.youtube.com/vi/o0XKRK3a3cs/hqdefault.jpg", "youtube_id": "o0XKRK3a3cs", "content_kind": "Video", "readable_id": "attaching-bit-zee-s-arduino"}, {"translated_youtube_id": "bhMQYdoh8EQ", "relative_url": "/video/how-to-hotwire-a-digital-camera", "has_questions": false, "keywords": "digital camera, hotwire, hot wire, hack a camera, hack, make, connect, control camera with an arduino", "ka_url": "http://www.khanacademy.org/video/how-to-hotwire-a-digital-camera", "duration": 410, "translated_title": "Digital camera connections", "translated_description_html": "

This video shows you how to "hotwire" a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.<\/p>\n", "id": "1128609901", "description_html": "

This video shows you how to "hotwire" a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.<\/p>\n", "title": "Digital camera connections", "progress_key": "v1128609901", "edit_slug": "edit/v/1128609901", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This video shows you how to \"hotwire\" a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/how-to-hotwire-a-digital-camera", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-07T23:06:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bhMQYdoh8EQ.mp4/bhMQYdoh8EQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bhMQYdoh8EQ.mp4/bhMQYdoh8EQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bhMQYdoh8EQ.m3u8/bhMQYdoh8EQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bhMQYdoh8EQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1128609901", "sha": "9702d5738475dc300c9cf548b2570efae7e34d21", "translated_description": "This video shows you how to \"hotwire\" a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.\n", "image_url": "https://img.youtube.com/vi/bhMQYdoh8EQ/hqdefault.jpg", "youtube_id": "bhMQYdoh8EQ", "content_kind": "Video", "readable_id": "how-to-hotwire-a-digital-camera"}, {"translated_youtube_id": "8GhjZn2W8ns", "relative_url": "/video/attach-bit-zee-s-digital-camera", "has_questions": false, "keywords": "connect a digital camera, hack, make, maker, connections", "ka_url": "http://www.khanacademy.org/video/attach-bit-zee-s-digital-camera", "duration": 205, "translated_title": "Digital camera connections II", "translated_description_html": "

In this video we show you how to attach Bit-zee's camera and route the wires<\/p>\n", "id": "1131599025", "description_html": "

In this video we show you how to attach Bit-zee's camera and route the wires<\/p>\n", "title": "Digital camera connections II", "progress_key": "v1131599025", "edit_slug": "edit/v/1131599025", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to attach Bit-zee's camera and route the wires\n", "extra_properties": {"original_url": ""}, "node_slug": "v/attach-bit-zee-s-digital-camera", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-08T23:29:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.m3u8/8GhjZn2W8ns.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8GhjZn2W8ns&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1131599025", "sha": "4f0748ee353ff41d1155add56ac69dcdc97e9ad5", "translated_description": "In this video we show you how to attach Bit-zee's camera and route the wires\n", "image_url": "https://img.youtube.com/vi/8GhjZn2W8ns/hqdefault.jpg", "youtube_id": "8GhjZn2W8ns", "content_kind": "Video", "readable_id": "attach-bit-zee-s-digital-camera"}, {"translated_youtube_id": "iqHZp79FhO8", "relative_url": "/video/bit-zee-s-5-volt-power-distribution-board", "has_questions": false, "keywords": "motor controller 5 volt power distribution bread board proto board bit-zee bot hack make diy robot bot", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-5-volt-power-distribution-board", "duration": 323, "translated_title": "5 volt power distribution board", "translated_description_html": "

In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.<\/p>\n", "id": "1132629473", "description_html": "

In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.<\/p>\n", "title": "5 volt power distribution board", "progress_key": "v1132629473", "edit_slug": "edit/v/1132629473", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-5-volt-power-distribution-board", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-09T03:07:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iqHZp79FhO8.mp4/iqHZp79FhO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iqHZp79FhO8.mp4/iqHZp79FhO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iqHZp79FhO8.m3u8/iqHZp79FhO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iqHZp79FhO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1132629473", "sha": "1c03e0929a11b4a48bc534923f286da158c180c6", "translated_description": "In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.\n", "image_url": "https://img.youtube.com/vi/iqHZp79FhO8/hqdefault.jpg", "youtube_id": "iqHZp79FhO8", "content_kind": "Video", "readable_id": "bit-zee-s-5-volt-power-distribution-board"}, {"translated_youtube_id": "efQjBTPhS_0", "relative_url": "/video/hacking-and-attaching-a-digital-recorder-player", "has_questions": false, "keywords": "Hack, digital voice recorder, make, adurino, diy,", "ka_url": "http://www.khanacademy.org/video/hacking-and-attaching-a-digital-recorder-player", "duration": 415, "translated_title": "Digital recorder/player connections", "translated_description_html": "

In this video we attach and wire a digital voice recorder to Bit-zee.<\/p>\n", "id": "1134600769", "description_html": "

In this video we attach and wire a digital voice recorder to Bit-zee.<\/p>\n", "title": "Digital recorder/player connections", "progress_key": "v1134600769", "edit_slug": "edit/v/1134600769", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we attach and wire a digital voice recorder to Bit-zee.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/hacking-and-attaching-a-digital-recorder-player", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-10T00:53:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/efQjBTPhS_0.mp4/efQjBTPhS_0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/efQjBTPhS_0.mp4/efQjBTPhS_0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/efQjBTPhS_0.m3u8/efQjBTPhS_0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=efQjBTPhS_0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1134600769", "sha": "8868e55afdd1235bb790f4f9f7799502b591990e", "translated_description": "In this video we attach and wire a digital voice recorder to Bit-zee.\n", "image_url": "https://img.youtube.com/vi/efQjBTPhS_0/hqdefault.jpg", "youtube_id": "efQjBTPhS_0", "content_kind": "Video", "readable_id": "hacking-and-attaching-a-digital-recorder-player"}, {"translated_youtube_id": "4HkbFUoX0iI", "relative_url": "/video/making-a-power-connector-for-the-arduino", "has_questions": false, "keywords": "Arduino power connector, hack, make, diy", "ka_url": "http://www.khanacademy.org/video/making-a-power-connector-for-the-arduino", "duration": 151, "translated_title": "Power connector for the Arduino", "translated_description_html": "

In this video we show you how to create a power connector for your arduino.<\/p>\n", "id": "1135006386", "description_html": "

In this video we show you how to create a power connector for your arduino.<\/p>\n", "title": "Power connector for the Arduino", "progress_key": "v1135006386", "edit_slug": "edit/v/1135006386", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we show you how to create a power connector for your arduino.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/making-a-power-connector-for-the-arduino", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-10T02:28:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4HkbFUoX0iI.mp4/4HkbFUoX0iI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4HkbFUoX0iI.mp4/4HkbFUoX0iI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4HkbFUoX0iI.m3u8/4HkbFUoX0iI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4HkbFUoX0iI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1135006386", "sha": "65e82b0591e2af6160901ed4087ab5396a9bf1f3", "translated_description": "In this video we show you how to create a power connector for your arduino.\n", "image_url": "https://img.youtube.com/vi/4HkbFUoX0iI/hqdefault.jpg", "youtube_id": "4HkbFUoX0iI", "content_kind": "Video", "readable_id": "making-a-power-connector-for-the-arduino"}, {"translated_youtube_id": "DRz9B6SHWQ4", "relative_url": "/video/attaching-bit-zee-s-prototype-board", "has_questions": false, "keywords": "bread board, prototype board, connections, bit-zee", "ka_url": "http://www.khanacademy.org/video/attaching-bit-zee-s-prototype-board", "duration": 187, "translated_title": "Prototype board", "translated_description_html": "

In this video we attach Bit-zee's bread board<\/p>\n", "id": "1220108304", "description_html": "

In this video we attach Bit-zee's bread board<\/p>\n", "title": "Prototype board", "progress_key": "v1220108304", "edit_slug": "edit/v/1220108304", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we attach Bit-zee's bread board\n", "extra_properties": {"original_url": ""}, "node_slug": "v/attaching-bit-zee-s-prototype-board", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T05:52:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.m3u8/DRz9B6SHWQ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DRz9B6SHWQ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220108304", "sha": "fa986051d225cf68baacc79d3d60d9ab94897da2", "translated_description": "In this video we attach Bit-zee's bread board\n", "image_url": "https://img.youtube.com/vi/DRz9B6SHWQ4/hqdefault.jpg", "youtube_id": "DRz9B6SHWQ4", "content_kind": "Video", "readable_id": "attaching-bit-zee-s-prototype-board"}, {"translated_youtube_id": "C9ITaG1_XoA", "relative_url": "/video/connecting-the-motor-controller-to-the-arduino", "has_questions": false, "keywords": "bit-zee motor controller arduino make hack diy", "ka_url": "http://www.khanacademy.org/video/connecting-the-motor-controller-to-the-arduino", "duration": 156, "translated_title": "Motor controller connection to Arduino", "translated_description_html": "

In this video we show you how to determine which wire is which and how to connect them to your Arduino.<\/p>\n", "id": "1178339328", "description_html": "

In this video we show you how to determine which wire is which and how to connect them to your Arduino.<\/p>\n", "title": "Motor controller connection to Arduino", "progress_key": "v1178339328", "edit_slug": "edit/v/1178339328", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we show you how to determine which wire is which and how to connect them to your Arduino.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/connecting-the-motor-controller-to-the-arduino", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-28T02:29:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C9ITaG1_XoA.mp4/C9ITaG1_XoA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C9ITaG1_XoA.mp4/C9ITaG1_XoA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C9ITaG1_XoA.m3u8/C9ITaG1_XoA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C9ITaG1_XoA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1178339328", "sha": "d41a55edb467c978d7847fd195401a8a1056cf0d", "translated_description": "In this video we show you how to determine which wire is which and how to connect them to your Arduino.\n", "image_url": "https://img.youtube.com/vi/C9ITaG1_XoA/hqdefault.jpg", "youtube_id": "C9ITaG1_XoA", "content_kind": "Video", "readable_id": "connecting-the-motor-controller-to-the-arduino"}, {"translated_youtube_id": "T2ZnxsBWU3E", "relative_url": "/video/connecting-bit-zee-s--camera-to-the-arduino", "has_questions": false, "keywords": "Connecting, digital camera, arduino, Bit-zee, bot, hack, make, diy, transistor, resistor", "ka_url": "http://www.khanacademy.org/video/connecting-bit-zee-s--camera-to-the-arduino", "duration": 225, "translated_title": "Camera connection to the Arduino", "translated_description_html": "

In this video we wire Bit-zee's camera's shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.<\/p>\n", "id": "1220162268", "description_html": "

In this video we wire Bit-zee's camera's shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.<\/p>\n", "title": "Camera connection to the Arduino", "progress_key": "v1220162268", "edit_slug": "edit/v/1220162268", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we wire Bit-zee's camera's shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/connecting-bit-zee-s--camera-to-the-arduino", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T05:55:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T2ZnxsBWU3E.mp4/T2ZnxsBWU3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T2ZnxsBWU3E.mp4/T2ZnxsBWU3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T2ZnxsBWU3E.m3u8/T2ZnxsBWU3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T2ZnxsBWU3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220162268", "sha": "b9a7e990d9a31aad1740af891915aeb0617ab056", "translated_description": "In this video we wire Bit-zee's camera's shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.\n", "image_url": "https://img.youtube.com/vi/T2ZnxsBWU3E/hqdefault.jpg", "youtube_id": "T2ZnxsBWU3E", "content_kind": "Video", "readable_id": "connecting-bit-zee-s--camera-to-the-arduino"}, {"translated_youtube_id": "JEXhbd0JOWk", "relative_url": "/video/bit-zee-s-bumper-switches", "has_questions": false, "keywords": "bit-zee, bumper switches, arduino, hack, make, diy", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-bumper-switches", "duration": 588, "translated_title": "Bumper switches", "translated_description_html": "

In this video we create and wire Bit-zee's bumper switches<\/p>\n", "id": "1220192283", "description_html": "

In this video we create and wire Bit-zee's bumper switches<\/p>\n", "title": "Bumper switches", "progress_key": "v1220192283", "edit_slug": "edit/v/1220192283", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we create and wire Bit-zee's bumper switches\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-bumper-switches", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T05:56:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.mp4/JEXhbd0JOWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.mp4/JEXhbd0JOWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.m3u8/JEXhbd0JOWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JEXhbd0JOWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220192283", "sha": "d044ac24c95977252f8c394e6c271a14ecbcca5e", "translated_description": "In this video we create and wire Bit-zee's bumper switches\n", "image_url": "https://img.youtube.com/vi/JEXhbd0JOWk/hqdefault.jpg", "youtube_id": "JEXhbd0JOWk", "content_kind": "Video", "readable_id": "bit-zee-s-bumper-switches"}, {"translated_youtube_id": "lrIUaN_UKYs", "relative_url": "/video/bit-zee-s-eyes", "has_questions": false, "keywords": "Bottle cap, eyes, LEDs, Arduino, make, hack, diy, bit-zee", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-eyes", "duration": 450, "translated_title": "LED eyes", "translated_description_html": "

In this video we create and wire Bit-zee's tri-color LED eyes<\/p>\n", "id": "1220997323", "description_html": "

In this video we create and wire Bit-zee's tri-color LED eyes<\/p>\n", "title": "LED eyes", "progress_key": "v1220997323", "edit_slug": "edit/v/1220997323", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In this video we create and wire Bit-zee's tri-color LED eyes\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-eyes", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T15:41:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.mp4/lrIUaN_UKYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.mp4/lrIUaN_UKYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.m3u8/lrIUaN_UKYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lrIUaN_UKYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220997323", "sha": "0feefb898e73558b16680e9a9ea79fdfee52eb6c", "translated_description": "In this video we create and wire Bit-zee's tri-color LED eyes\n", "image_url": "https://img.youtube.com/vi/lrIUaN_UKYs/hqdefault.jpg", "youtube_id": "lrIUaN_UKYs", "content_kind": "Video", "readable_id": "bit-zee-s-eyes"}, {"translated_youtube_id": "KNtVlP9Htnk", "relative_url": "/video/bit-zee-s-ir-sensor", "has_questions": false, "keywords": "IR sensor, Infrared, bit-zee, bot, universal remote,", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-ir-sensor", "duration": 93, "translated_title": "IR sensor", "translated_description_html": "

In this video we connect, bend and wire Bit-zee's IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.<\/p>\n", "id": "1220977278", "description_html": "

In this video we connect, bend and wire Bit-zee's IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.<\/p>\n", "title": "IR sensor", "progress_key": "v1220977278", "edit_slug": "edit/v/1220977278", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we connect, bend and wire Bit-zee's IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-ir-sensor", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T15:44:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KNtVlP9Htnk.mp4/KNtVlP9Htnk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KNtVlP9Htnk.mp4/KNtVlP9Htnk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KNtVlP9Htnk.m3u8/KNtVlP9Htnk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KNtVlP9Htnk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220977278", "sha": "55c72e4e77f47f1e8bf94592751a951b9d4e17b8", "translated_description": "In this video we connect, bend and wire Bit-zee's IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.\n", "image_url": "https://img.youtube.com/vi/KNtVlP9Htnk/hqdefault.jpg", "youtube_id": "KNtVlP9Htnk", "content_kind": "Video", "readable_id": "bit-zee-s-ir-sensor"}, {"translated_youtube_id": "87-DnbQatO8", "relative_url": "/video/bit-zee-s-shell", "has_questions": false, "keywords": "shell, outer housing, shroud, bumper, bezel, bit-zee, bot, diy, make, hack, do", "ka_url": "http://www.khanacademy.org/video/bit-zee-s-shell", "duration": 181, "translated_title": "Chassis modifications", "translated_description_html": "

This video shows how Bit-zee's shell was modified to allow space for the bumper switches.<\/p>\n", "id": "1220940750", "description_html": "

This video shows how Bit-zee's shell was modified to allow space for the bumper switches.<\/p>\n", "title": "Chassis modifications", "progress_key": "v1220940750", "edit_slug": "edit/v/1220940750", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This video shows how Bit-zee's shell was modified to allow space for the bumper switches.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bit-zee-s-shell", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T15:46:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/87-DnbQatO8.mp4/87-DnbQatO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/87-DnbQatO8.mp4/87-DnbQatO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/87-DnbQatO8.m3u8/87-DnbQatO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=87-DnbQatO8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220940750", "sha": "6785773dc3d676496f299555e5730b0e4f09fa2a", "translated_description": "This video shows how Bit-zee's shell was modified to allow space for the bumper switches.\n", "image_url": "https://img.youtube.com/vi/87-DnbQatO8/hqdefault.jpg", "youtube_id": "87-DnbQatO8", "content_kind": "Video", "readable_id": "bit-zee-s-shell"}, {"translated_youtube_id": "KhyDlw99aSY", "relative_url": "/video/camera-wiring-update", "has_questions": false, "keywords": "Camera, update, bit-zee, wiring, improve speed, make, diy, hack", "ka_url": "http://www.khanacademy.org/video/camera-wiring-update", "duration": 200, "translated_title": "Camera wiring update", "translated_description_html": "

This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.<\/p>\n", "id": "1220722985", "description_html": "

This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.<\/p>\n", "title": "Camera wiring update", "progress_key": "v1220722985", "edit_slug": "edit/v/1220722985", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/camera-wiring-update", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-12-12T15:48:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KhyDlw99aSY.mp4/KhyDlw99aSY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KhyDlw99aSY.mp4/KhyDlw99aSY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KhyDlw99aSY.m3u8/KhyDlw99aSY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KhyDlw99aSY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1220722985", "sha": "e158edc29f68c7bf391b763fbbb0a2338baa2dcf", "translated_description": "This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.\n", "image_url": "https://img.youtube.com/vi/KhyDlw99aSY/hqdefault.jpg", "youtube_id": "KhyDlw99aSY", "content_kind": "Video", "readable_id": "camera-wiring-update"}], "twitter_url": "", "translated_description": "This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section", "x_pos": 0.0, "node_slug": "Bit-zee", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4767a89b", "topic_page_url": "/science/discoveries-projects/robots/Bit-zee", "extended_slug": "science/discoveries-projects/robots/Bit-zee", "slug": "Bit-zee", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aacd076863fbba2f5e53e09da838f53f7026d952", "standalone_title": "Bit-zee Bot", "y_pos": 0.0, "current_revision_key": "aacd076863fbba2f5e53e09da838f53f7026d952", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Start your own robotics project with Spout, Spider, and Bit-zee!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Start your own robotics project with Spout, Spider, and Bit-zee!", "x_pos": 0.0, "node_slug": "robots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f8a9b2b", "topic_page_url": "/science/discoveries-projects/robots", "extended_slug": "science/discoveries-projects/robots", "slug": "robots", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d6187fac5c6ad1005c7fa9e99edfd70c691db0be", "standalone_title": "Robots", "y_pos": 0.0, "current_revision_key": "d6187fac5c6ad1005c7fa9e99edfd70c691db0be", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics", "translated_standalone_title": "Lego robotics", "translated_title": "Lego robotics", "gplus_url": "", "id": "x6714e769", "old_key_name": null, "hide": false, "title": "Lego robotics", "child_data": [{"kind": "Topic", "id": "xedba4611"}, {"kind": "Topic", "id": "xd1baa994"}, {"kind": "Topic", "id": "x613aad30"}, {"kind": "Topic", "id": "xf80b2eaa"}, {"kind": "Topic", "id": "xd3d5b959"}], "children": [{"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics/lego-intro", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics/lego-intro", "translated_standalone_title": "Introduction", "translated_title": "Introduction", "gplus_url": "", "id": "xedba4611", "old_key_name": null, "hide": false, "title": "Introduction", "child_data": [{"kind": "Video", "id": "x9a7c4bb6"}, {"kind": "Video", "id": "x2a5f0982"}, {"kind": "Video", "id": "x1a9de490"}, {"kind": "Article", "id": "x6df16bab"}, {"kind": "Article", "id": "xf22b6d9e"}, {"kind": "Article", "id": "xe0eca833"}], "children": [{"translated_youtube_id": "McH0dsTOg2E", "relative_url": "/video/lego-robots--anything-is-possible", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-robots--anything-is-possible", "duration": 97, "translated_title": "Anything is possible!", "translated_description_html": "

Anything robots can do, lego robots can do!<\/p>", "id": "x9a7c4bb6", "description_html": "

Anything robots can do, lego robots can do!<\/p>", "title": "Anything is possible!", "progress_key": "vx9a7c4bb6", "edit_slug": "edit/v/x9a7c4bb6", "author_names": [], "deleted_mod_time": null, "description": "Anything robots can do, lego robots can do!", "extra_properties": {}, "node_slug": "v/lego-robots--anything-is-possible", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/McH0dsTOg2E.mp4/McH0dsTOg2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/McH0dsTOg2E.mp4/McH0dsTOg2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/McH0dsTOg2E.m3u8/McH0dsTOg2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=McH0dsTOg2E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a7c4bb6", "sha": "98f5274809c7cbb61f2531d8378f5b0bdbf4444a", "translated_description": "Anything robots can do, lego robots can do!", "image_url": "https://img.youtube.com/vi/McH0dsTOg2E/hqdefault.jpg", "youtube_id": "McH0dsTOg2E", "content_kind": "Video", "readable_id": "lego-robots--anything-is-possible"}, {"translated_youtube_id": "odpzXKZDTt0", "relative_url": "/video/discovery-lab---design---building-lego-robots", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---design---building-lego-robots", "duration": 113, "translated_title": "inspiration: sumo robots", "translated_description_html": "

Inspiration from Khan Academy's Discovery Lab<\/p>", "id": "x2a5f0982", "description_html": "

Inspiration from Khan Academy's Discovery Lab<\/p>", "title": "inspiration: sumo robots", "progress_key": "vx2a5f0982", "edit_slug": "edit/v/x2a5f0982", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "Inspiration from Khan Academy's Discovery Lab", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---design---building-lego-robots", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.mp4/odpzXKZDTt0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.mp4/odpzXKZDTt0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.m3u8/odpzXKZDTt0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=odpzXKZDTt0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2a5f0982", "sha": "1f93cd611ea290f4bd1f2c44615164964e773872", "translated_description": "Inspiration from Khan Academy's Discovery Lab", "image_url": "https://img.youtube.com/vi/odpzXKZDTt0/hqdefault.jpg", "youtube_id": "odpzXKZDTt0", "content_kind": "Video", "readable_id": "discovery-lab---design---building-lego-robots"}, {"translated_youtube_id": "3quWEMobksw", "relative_url": "/video/Introduction-to-environment", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Introduction-to-environment", "duration": 187, "translated_title": "Introduction to programming", "translated_description_html": "

Get to know the NXT-G environment<\/p>", "id": "x1a9de490", "description_html": "

Get to know the NXT-G environment<\/p>", "title": "Introduction to programming", "progress_key": "vx1a9de490", "edit_slug": "edit/v/x1a9de490", "author_names": [], "deleted_mod_time": null, "description": "Get to know the NXT-G environment", "extra_properties": {}, "node_slug": "v/Introduction-to-environment", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3quWEMobksw.mp4/3quWEMobksw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3quWEMobksw.mp4/3quWEMobksw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3quWEMobksw.m3u8/3quWEMobksw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3quWEMobksw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1a9de490", "sha": "9027295ac227de37f8c397d8db32efc2636b2f8d", "translated_description": "Get to know the NXT-G environment", "image_url": "https://img.youtube.com/vi/3quWEMobksw/hqdefault.jpg", "youtube_id": "3quWEMobksw", "content_kind": "Video", "readable_id": "Introduction-to-environment"}], "twitter_url": "", "translated_description": "Introduction to the Lego NXT environment and what it is capable of. We begin with a few mini projects.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Introduction to the Lego NXT environment and what it is capable of. We begin with a few mini projects.", "x_pos": 0.0, "node_slug": "lego-intro", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axedba4611", "topic_page_url": "/science/discoveries-projects/lego robotics/lego-intro", "extended_slug": "science/discoveries-projects/lego robotics/lego-intro", "slug": "lego-intro", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "02c12c6036cc1d24748e8764ce9efd611f5695ca", "standalone_title": "Introduction", "y_pos": 0.0, "current_revision_key": "02c12c6036cc1d24748e8764ce9efd611f5695ca", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics/lego-sensors", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics/lego-sensors", "translated_standalone_title": "Light Guitar", "translated_title": "Light guitar", "gplus_url": "", "id": "xd1baa994", "old_key_name": null, "hide": false, "title": "Light guitar", "child_data": [{"kind": "Video", "id": "x8cfdcf83"}, {"kind": "Video", "id": "x91ac81ad"}, {"kind": "Video", "id": "xcc38753d"}, {"kind": "Article", "id": "x995c7987"}], "children": [{"translated_youtube_id": "43j2gGEP4JI", "relative_url": "/video/lego-nxt--light-guitar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-nxt--light-guitar", "duration": 29, "translated_title": "Demo: light guitar", "translated_description_html": "

Light guitar in action!<\/p>", "id": "x8cfdcf83", "description_html": "

Light guitar in action!<\/p>", "title": "Demo: light guitar", "progress_key": "vx8cfdcf83", "edit_slug": "edit/v/x8cfdcf83", "author_names": [], "deleted_mod_time": null, "description": "Light guitar in action!", "extra_properties": {}, "node_slug": "v/lego-nxt--light-guitar", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/43j2gGEP4JI.mp4/43j2gGEP4JI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/43j2gGEP4JI.mp4/43j2gGEP4JI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/43j2gGEP4JI.m3u8/43j2gGEP4JI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=43j2gGEP4JI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8cfdcf83", "sha": "fef245774205201c9c60b673385a79742f3a3075", "translated_description": "Light guitar in action!", "image_url": "https://img.youtube.com/vi/43j2gGEP4JI/hqdefault.jpg", "youtube_id": "43j2gGEP4JI", "content_kind": "Video", "readable_id": "lego-nxt--light-guitar"}, {"translated_youtube_id": "-1w9RXhCmsE", "relative_url": "/video/lego-datawires", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-datawires", "duration": 154, "translated_title": "Data wires", "translated_description_html": "

data wires allow you to send values directly from input sensors to output devices<\/p>", "id": "x91ac81ad", "description_html": "

data wires allow you to send values directly from input sensors to output devices<\/p>", "title": "Data wires", "progress_key": "vx91ac81ad", "edit_slug": "edit/v/x91ac81ad", "author_names": [], "deleted_mod_time": null, "description": "data wires allow you to send values directly from input sensors to output devices", "extra_properties": {}, "node_slug": "v/lego-datawires", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.mp4/-1w9RXhCmsE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.mp4/-1w9RXhCmsE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.m3u8/-1w9RXhCmsE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-1w9RXhCmsE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx91ac81ad", "sha": "26048af325f0a7cbd3f65df15d61d523b4fb27b4", "translated_description": "data wires allow you to send values directly from input sensors to output devices", "image_url": "https://img.youtube.com/vi/-1w9RXhCmsE/hqdefault.jpg", "youtube_id": "-1w9RXhCmsE", "content_kind": "Video", "readable_id": "lego-datawires"}, {"translated_youtube_id": "fJHFM2dOmiY", "relative_url": "/video/lego-mathblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-mathblock", "duration": 134, "translated_title": "Math block", "translated_description_html": "

Math blocks allow you to scale values (and much more!)<\/p>", "id": "xcc38753d", "description_html": "

Math blocks allow you to scale values (and much more!)<\/p>", "title": "Math block", "progress_key": "vxcc38753d", "edit_slug": "edit/v/xcc38753d", "author_names": [], "deleted_mod_time": null, "description": "Math blocks allow you to scale values (and much more!)", "extra_properties": {}, "node_slug": "v/lego-mathblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.mp4/fJHFM2dOmiY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.mp4/fJHFM2dOmiY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.m3u8/fJHFM2dOmiY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fJHFM2dOmiY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcc38753d", "sha": "ea5e4443f1aa4743dea3d49aeec1acc7061b4188", "translated_description": "Math blocks allow you to scale values (and much more!)", "image_url": "https://img.youtube.com/vi/fJHFM2dOmiY/hqdefault.jpg", "youtube_id": "fJHFM2dOmiY", "content_kind": "Video", "readable_id": "lego-mathblock"}], "twitter_url": "", "translated_description": "Get to know your light sensor while building musical instruments", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Get to know your light sensor while building musical instruments", "x_pos": 0.0, "node_slug": "lego-sensors", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd1baa994", "topic_page_url": "/science/discoveries-projects/lego robotics/lego-sensors", "extended_slug": "science/discoveries-projects/lego robotics/lego-sensors", "slug": "lego-sensors", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1a2c88b0361b405ff542edef135984b8df55da4a", "standalone_title": "Light Guitar", "y_pos": 0.0, "current_revision_key": "1a2c88b0361b405ff542edef135984b8df55da4a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics/lego-coin-detector", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics/lego-coin-detector", "translated_standalone_title": "Coin detector", "translated_title": "Coin detector", "gplus_url": "", "id": "x613aad30", "old_key_name": null, "hide": false, "title": "Coin detector", "child_data": [{"kind": "Video", "id": "x6c336042"}, {"kind": "Video", "id": "x504fba13"}, {"kind": "Video", "id": "xf198b676"}, {"kind": "Video", "id": "x8e4bf02c"}, {"kind": "Video", "id": "xc16acf70"}, {"kind": "Video", "id": "x8ac891f1"}, {"kind": "Article", "id": "xc8933a13"}], "children": [{"translated_youtube_id": "OxaG0VxaVXw", "relative_url": "/video/lego-nxt--coin-detector", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-nxt--coin-detector", "duration": 41, "translated_title": "Demo: coin detector", "translated_description_html": "", "id": "x6c336042", "description_html": "", "title": "Demo: coin detector", "progress_key": "vx6c336042", "edit_slug": "edit/v/x6c336042", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/lego-nxt--coin-detector", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OxaG0VxaVXw.mp4/OxaG0VxaVXw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OxaG0VxaVXw.mp4/OxaG0VxaVXw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OxaG0VxaVXw.m3u8/OxaG0VxaVXw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OxaG0VxaVXw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6c336042", "sha": "939951da098ef51fd074c19b0ef23bcb7e60dcca", "translated_description": "", "image_url": "https://img.youtube.com/vi/OxaG0VxaVXw/hqdefault.jpg", "youtube_id": "OxaG0VxaVXw", "content_kind": "Video", "readable_id": "lego-nxt--coin-detector"}, {"translated_youtube_id": "uR5ZWegnTvA", "relative_url": "/video/lego-coin-detector", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-coin-detector", "duration": 39, "translated_title": "Construction", "translated_description_html": "

You can get started with this simple design, then add your own complexity after!<\/p>", "id": "x504fba13", "description_html": "

You can get started with this simple design, then add your own complexity after!<\/p>", "title": "Construction", "progress_key": "vx504fba13", "edit_slug": "edit/v/x504fba13", "author_names": [], "deleted_mod_time": null, "description": "You can get started with this simple design, then add your own complexity after!", "extra_properties": {}, "node_slug": "v/lego-coin-detector", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uR5ZWegnTvA.mp4/uR5ZWegnTvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uR5ZWegnTvA.mp4/uR5ZWegnTvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uR5ZWegnTvA.m3u8/uR5ZWegnTvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uR5ZWegnTvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx504fba13", "sha": "cab7592878765a835ae26aa007679c856f57666c", "translated_description": "You can get started with this simple design, then add your own complexity after!", "image_url": "https://img.youtube.com/vi/uR5ZWegnTvA/hqdefault.jpg", "youtube_id": "uR5ZWegnTvA", "content_kind": "Video", "readable_id": "lego-coin-detector"}, {"translated_youtube_id": "GcLSWBjp6UM", "relative_url": "/video/lego-rotationsensor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-rotationsensor", "duration": 212, "translated_title": "Rotation sensor", "translated_description_html": "

Familiarize yourself with rotation sensor. Build a volume knob<\/p>", "id": "xf198b676", "description_html": "

Familiarize yourself with rotation sensor. Build a volume knob<\/p>", "title": "Rotation sensor", "progress_key": "vxf198b676", "edit_slug": "edit/v/xf198b676", "author_names": [], "deleted_mod_time": null, "description": "Familiarize yourself with rotation sensor. Build a volume knob", "extra_properties": {}, "node_slug": "v/lego-rotationsensor", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GcLSWBjp6UM.mp4/GcLSWBjp6UM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GcLSWBjp6UM.mp4/GcLSWBjp6UM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GcLSWBjp6UM.m3u8/GcLSWBjp6UM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GcLSWBjp6UM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf198b676", "sha": "5517435c98b698346efb970b4f8a3c18e7db8228", "translated_description": "Familiarize yourself with rotation sensor. Build a volume knob", "image_url": "https://img.youtube.com/vi/GcLSWBjp6UM/hqdefault.jpg", "youtube_id": "GcLSWBjp6UM", "content_kind": "Video", "readable_id": "lego-rotationsensor"}, {"translated_youtube_id": "ixKzDofqMrU", "relative_url": "/video/lego-switchlogic", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-switchlogic", "duration": 419, "translated_title": "Switch statements & logic", "translated_description_html": "

Control switch statments using logic<\/p>", "id": "x8e4bf02c", "description_html": "

Control switch statments using logic<\/p>", "title": "Switch statements & logic", "progress_key": "vx8e4bf02c", "edit_slug": "edit/v/x8e4bf02c", "author_names": [], "deleted_mod_time": null, "description": "Control switch statments using logic", "extra_properties": {}, "node_slug": "v/lego-switchlogic", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.mp4/ixKzDofqMrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.mp4/ixKzDofqMrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.m3u8/ixKzDofqMrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ixKzDofqMrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8e4bf02c", "sha": "f5719ba06773058c1108a7b96efe1141a41561fc", "translated_description": "Control switch statments using logic", "image_url": "https://img.youtube.com/vi/ixKzDofqMrU/hqdefault.jpg", "youtube_id": "ixKzDofqMrU", "content_kind": "Video", "readable_id": "lego-switchlogic"}, {"translated_youtube_id": "Qz0n0ZwdCpQ", "relative_url": "/video/lego-coinchallenge", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-coinchallenge", "duration": 211, "translated_title": "Design review (calibration)", "translated_description_html": "

Final step in the coin detector challenge<\/p>", "id": "xc16acf70", "description_html": "

Final step in the coin detector challenge<\/p>", "title": "Design review (calibration)", "progress_key": "vxc16acf70", "edit_slug": "edit/v/xc16acf70", "author_names": [], "deleted_mod_time": null, "description": "Final step in the coin detector challenge", "extra_properties": {}, "node_slug": "v/lego-coinchallenge", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qz0n0ZwdCpQ.mp4/Qz0n0ZwdCpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qz0n0ZwdCpQ.mp4/Qz0n0ZwdCpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qz0n0ZwdCpQ.m3u8/Qz0n0ZwdCpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qz0n0ZwdCpQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc16acf70", "sha": "638eaaeadc069303e2189961ac8575ae59047e15", "translated_description": "Final step in the coin detector challenge", "image_url": "https://img.youtube.com/vi/Qz0n0ZwdCpQ/hqdefault.jpg", "youtube_id": "Qz0n0ZwdCpQ", "content_kind": "Video", "readable_id": "lego-coinchallenge"}, {"translated_youtube_id": "jSWLolne0Oc", "relative_url": "/video/lego-sensorpolling", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-sensorpolling", "duration": 77, "translated_title": "Polling sensors", "translated_description_html": "

Check the real-time values of your sensors <\/p>", "id": "x8ac891f1", "description_html": "

Check the real-time values of your sensors <\/p>", "title": "Polling sensors", "progress_key": "vx8ac891f1", "edit_slug": "edit/v/x8ac891f1", "author_names": [], "deleted_mod_time": null, "description": "Check the real-time values of your sensors ", "extra_properties": {}, "node_slug": "v/lego-sensorpolling", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.mp4/jSWLolne0Oc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.mp4/jSWLolne0Oc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.m3u8/jSWLolne0Oc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jSWLolne0Oc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8ac891f1", "sha": "02dd1c2f07bd73fc742703f57e9350595660c78b", "translated_description": "Check the real-time values of your sensors ", "image_url": "https://img.youtube.com/vi/jSWLolne0Oc/hqdefault.jpg", "youtube_id": "jSWLolne0Oc", "content_kind": "Video", "readable_id": "lego-sensorpolling"}], "twitter_url": "", "translated_description": "Get to know your rotation sensor while building a 5 cent machine", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Get to know your rotation sensor while building a 5 cent machine", "x_pos": 0.0, "node_slug": "lego-coin-detector", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax613aad30", "topic_page_url": "/science/discoveries-projects/lego robotics/lego-coin-detector", "extended_slug": "science/discoveries-projects/lego robotics/lego-coin-detector", "slug": "lego-coin-detector", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dba621672889298e5bd8cd2caf89ab6cda71d39c", "standalone_title": "Coin detector", "y_pos": 0.0, "current_revision_key": "dba621672889298e5bd8cd2caf89ab6cda71d39c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics/lego-antbot", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics/lego-antbot", "translated_standalone_title": "Ant bot", "translated_title": "Ant bot", "gplus_url": "", "id": "xf80b2eaa", "old_key_name": null, "hide": false, "title": "Ant bot", "child_data": [{"kind": "Video", "id": "xfd58fb0a"}, {"kind": "Article", "id": "x5b354d9a"}, {"kind": "Video", "id": "xd839a468"}, {"kind": "Video", "id": "x86fbb9d4"}, {"kind": "Video", "id": "x414f8ca0"}, {"kind": "Article", "id": "x7a554499"}], "children": [{"translated_youtube_id": "ksMisCPSs5g", "relative_url": "/video/lego-ant-bot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-ant-bot", "duration": 37, "translated_title": "Demo: ant bot", "translated_description_html": "", "id": "xfd58fb0a", "description_html": "", "title": "Demo: ant bot", "progress_key": "vxfd58fb0a", "edit_slug": "edit/v/xfd58fb0a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/lego-ant-bot", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ksMisCPSs5g.mp4/ksMisCPSs5g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ksMisCPSs5g.mp4/ksMisCPSs5g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ksMisCPSs5g.m3u8/ksMisCPSs5g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ksMisCPSs5g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfd58fb0a", "sha": "2668ff6e473e6510c5860fd1f0d8bea7711e77bc", "translated_description": "", "image_url": "https://img.youtube.com/vi/ksMisCPSs5g/hqdefault.jpg", "youtube_id": "ksMisCPSs5g", "content_kind": "Video", "readable_id": "lego-ant-bot"}, {"translated_youtube_id": "EOiCa4i3oKo", "relative_url": "/video/lego-antbot-build", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-antbot-build", "duration": 31, "translated_title": "Robot construction", "translated_description_html": "", "id": "xd839a468", "description_html": "", "title": "Robot construction", "progress_key": "vxd839a468", "edit_slug": "edit/v/xd839a468", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/lego-antbot-build", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EOiCa4i3oKo.mp4/EOiCa4i3oKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EOiCa4i3oKo.mp4/EOiCa4i3oKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EOiCa4i3oKo.m3u8/EOiCa4i3oKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EOiCa4i3oKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd839a468", "sha": "7da1516592da2ad43a096cf9c244b843ccf4fff9", "translated_description": "", "image_url": "https://img.youtube.com/vi/EOiCa4i3oKo/hqdefault.jpg", "youtube_id": "EOiCa4i3oKo", "content_kind": "Video", "readable_id": "lego-antbot-build"}, {"translated_youtube_id": "_2pGxgq2D3s", "relative_url": "/video/lego-moveblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-moveblock", "duration": 133, "translated_title": "Move block", "translated_description_html": "

power your motors<\/p>", "id": "x86fbb9d4", "description_html": "

power your motors<\/p>", "title": "Move block", "progress_key": "vx86fbb9d4", "edit_slug": "edit/v/x86fbb9d4", "author_names": [], "deleted_mod_time": null, "description": "power your motors", "extra_properties": {}, "node_slug": "v/lego-moveblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.mp4/_2pGxgq2D3s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.mp4/_2pGxgq2D3s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.m3u8/_2pGxgq2D3s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_2pGxgq2D3s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx86fbb9d4", "sha": "7fc5b011c94be4a0183b84d8a9de7991d2ca75ea", "translated_description": "power your motors", "image_url": "https://img.youtube.com/vi/_2pGxgq2D3s/hqdefault.jpg", "youtube_id": "_2pGxgq2D3s", "content_kind": "Video", "readable_id": "lego-moveblock"}, {"translated_youtube_id": "MALIJQ3Q_zs", "relative_url": "/video/lego-switchstatements", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-switchstatements", "duration": 200, "translated_title": "Switch block (nested)", "translated_description_html": "

We can combine switch blocks for more advanced behaviour<\/p>", "id": "x414f8ca0", "description_html": "

We can combine switch blocks for more advanced behaviour<\/p>", "title": "Switch block (nested)", "progress_key": "vx414f8ca0", "edit_slug": "edit/v/x414f8ca0", "author_names": [], "deleted_mod_time": null, "description": "We can combine switch blocks for more advanced behaviour", "extra_properties": {}, "node_slug": "v/lego-switchstatements", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.mp4/MALIJQ3Q_zs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.mp4/MALIJQ3Q_zs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.m3u8/MALIJQ3Q_zs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MALIJQ3Q_zs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx414f8ca0", "sha": "5760ebb48cf9bdc1a8bbb0d5164664928c7abbd8", "translated_description": "We can combine switch blocks for more advanced behaviour", "image_url": "https://img.youtube.com/vi/MALIJQ3Q_zs/hqdefault.jpg", "youtube_id": "MALIJQ3Q_zs", "content_kind": "Video", "readable_id": "lego-switchstatements"}], "twitter_url": "", "translated_description": "Build an ant colony with simple behaviours", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Build an ant colony with simple behaviours", "x_pos": 0.0, "node_slug": "lego-antbot", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf80b2eaa", "topic_page_url": "/science/discoveries-projects/lego robotics/lego-antbot", "extended_slug": "science/discoveries-projects/lego robotics/lego-antbot", "slug": "lego-antbot", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "88cc4e4662dc030ca9f381f5e609f4f5df691f40", "standalone_title": "Ant bot", "y_pos": 0.0, "current_revision_key": "88cc4e4662dc030ca9f381f5e609f4f5df691f40", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/lego robotics/new-topic-2013-11-07T15:08:28.609Z", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/lego robotics/new-topic-2013-11-07T15:08:28.609Z", "translated_standalone_title": "Programming basics", "translated_title": "Programming basics", "gplus_url": "", "id": "xd3d5b959", "old_key_name": null, "hide": false, "title": "Programming basics", "child_data": [{"kind": "Video", "id": "x86fbb9d4"}, {"kind": "Video", "id": "x0d4560e8"}, {"kind": "Video", "id": "xf87cacc9"}, {"kind": "Video", "id": "x414f8ca0"}, {"kind": "Video", "id": "x8e4bf02c"}, {"kind": "Video", "id": "xcc38753d"}, {"kind": "Video", "id": "x0685d40a"}, {"kind": "Video", "id": "x91ac81ad"}, {"kind": "Video", "id": "x8ac891f1"}], "children": [{"translated_youtube_id": "_2pGxgq2D3s", "relative_url": "/video/lego-moveblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-moveblock", "duration": 133, "translated_title": "Move block", "translated_description_html": "

power your motors<\/p>", "id": "x86fbb9d4", "description_html": "

power your motors<\/p>", "title": "Move block", "progress_key": "vx86fbb9d4", "edit_slug": "edit/v/x86fbb9d4", "author_names": [], "deleted_mod_time": null, "description": "power your motors", "extra_properties": {}, "node_slug": "v/lego-moveblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.mp4/_2pGxgq2D3s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.mp4/_2pGxgq2D3s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_2pGxgq2D3s.m3u8/_2pGxgq2D3s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_2pGxgq2D3s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx86fbb9d4", "sha": "7fc5b011c94be4a0183b84d8a9de7991d2ca75ea", "translated_description": "power your motors", "image_url": "https://img.youtube.com/vi/_2pGxgq2D3s/hqdefault.jpg", "youtube_id": "_2pGxgq2D3s", "content_kind": "Video", "readable_id": "lego-moveblock"}, {"translated_youtube_id": "Gwjlw3K2OrQ", "relative_url": "/video/lego-loopblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-loopblock", "duration": 288, "translated_title": "Loop block", "translated_description_html": "

Loop block allows us to repeat behaviours <\/p>", "id": "x0d4560e8", "description_html": "

Loop block allows us to repeat behaviours <\/p>", "title": "Loop block", "progress_key": "vx0d4560e8", "edit_slug": "edit/v/x0d4560e8", "author_names": [], "deleted_mod_time": null, "description": "Loop block allows us to repeat behaviours ", "extra_properties": {}, "node_slug": "v/lego-loopblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gwjlw3K2OrQ.mp4/Gwjlw3K2OrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gwjlw3K2OrQ.mp4/Gwjlw3K2OrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gwjlw3K2OrQ.m3u8/Gwjlw3K2OrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gwjlw3K2OrQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0d4560e8", "sha": "14c237416b51d3484f290c0c8ad70ec01aa1ad60", "translated_description": "Loop block allows us to repeat behaviours ", "image_url": "https://img.youtube.com/vi/Gwjlw3K2OrQ/hqdefault.jpg", "youtube_id": "Gwjlw3K2OrQ", "content_kind": "Video", "readable_id": "lego-loopblock"}, {"translated_youtube_id": "8uLzMKrO1FU", "relative_url": "/video/lego-switchblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-switchblock", "duration": 240, "translated_title": "Switch block", "translated_description_html": "

Control robot behavior based on some condition<\/p>", "id": "xf87cacc9", "description_html": "

Control robot behavior based on some condition<\/p>", "title": "Switch block", "progress_key": "vxf87cacc9", "edit_slug": "edit/v/xf87cacc9", "author_names": [], "deleted_mod_time": null, "description": "Control robot behavior based on some condition", "extra_properties": {}, "node_slug": "v/lego-switchblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8uLzMKrO1FU.mp4/8uLzMKrO1FU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8uLzMKrO1FU.mp4/8uLzMKrO1FU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8uLzMKrO1FU.m3u8/8uLzMKrO1FU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8uLzMKrO1FU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf87cacc9", "sha": "8b5f41c8f987b0c29072781fd6d43a4d72485150", "translated_description": "Control robot behavior based on some condition", "image_url": "https://img.youtube.com/vi/8uLzMKrO1FU/hqdefault.jpg", "youtube_id": "8uLzMKrO1FU", "content_kind": "Video", "readable_id": "lego-switchblock"}, {"translated_youtube_id": "MALIJQ3Q_zs", "relative_url": "/video/lego-switchstatements", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-switchstatements", "duration": 200, "translated_title": "Switch block (nested)", "translated_description_html": "

We can combine switch blocks for more advanced behaviour<\/p>", "id": "x414f8ca0", "description_html": "

We can combine switch blocks for more advanced behaviour<\/p>", "title": "Switch block (nested)", "progress_key": "vx414f8ca0", "edit_slug": "edit/v/x414f8ca0", "author_names": [], "deleted_mod_time": null, "description": "We can combine switch blocks for more advanced behaviour", "extra_properties": {}, "node_slug": "v/lego-switchstatements", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.mp4/MALIJQ3Q_zs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.mp4/MALIJQ3Q_zs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MALIJQ3Q_zs.m3u8/MALIJQ3Q_zs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MALIJQ3Q_zs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx414f8ca0", "sha": "5760ebb48cf9bdc1a8bbb0d5164664928c7abbd8", "translated_description": "We can combine switch blocks for more advanced behaviour", "image_url": "https://img.youtube.com/vi/MALIJQ3Q_zs/hqdefault.jpg", "youtube_id": "MALIJQ3Q_zs", "content_kind": "Video", "readable_id": "lego-switchstatements"}, {"translated_youtube_id": "ixKzDofqMrU", "relative_url": "/video/lego-switchlogic", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-switchlogic", "duration": 419, "translated_title": "Switch statements & logic", "translated_description_html": "

Control switch statments using logic<\/p>", "id": "x8e4bf02c", "description_html": "

Control switch statments using logic<\/p>", "title": "Switch statements & logic", "progress_key": "vx8e4bf02c", "edit_slug": "edit/v/x8e4bf02c", "author_names": [], "deleted_mod_time": null, "description": "Control switch statments using logic", "extra_properties": {}, "node_slug": "v/lego-switchlogic", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.mp4/ixKzDofqMrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.mp4/ixKzDofqMrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ixKzDofqMrU.m3u8/ixKzDofqMrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ixKzDofqMrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8e4bf02c", "sha": "f5719ba06773058c1108a7b96efe1141a41561fc", "translated_description": "Control switch statments using logic", "image_url": "https://img.youtube.com/vi/ixKzDofqMrU/hqdefault.jpg", "youtube_id": "ixKzDofqMrU", "content_kind": "Video", "readable_id": "lego-switchlogic"}, {"translated_youtube_id": "fJHFM2dOmiY", "relative_url": "/video/lego-mathblock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-mathblock", "duration": 134, "translated_title": "Math block", "translated_description_html": "

Math blocks allow you to scale values (and much more!)<\/p>", "id": "xcc38753d", "description_html": "

Math blocks allow you to scale values (and much more!)<\/p>", "title": "Math block", "progress_key": "vxcc38753d", "edit_slug": "edit/v/xcc38753d", "author_names": [], "deleted_mod_time": null, "description": "Math blocks allow you to scale values (and much more!)", "extra_properties": {}, "node_slug": "v/lego-mathblock", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.mp4/fJHFM2dOmiY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.mp4/fJHFM2dOmiY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fJHFM2dOmiY.m3u8/fJHFM2dOmiY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fJHFM2dOmiY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcc38753d", "sha": "ea5e4443f1aa4743dea3d49aeec1acc7061b4188", "translated_description": "Math blocks allow you to scale values (and much more!)", "image_url": "https://img.youtube.com/vi/fJHFM2dOmiY/hqdefault.jpg", "youtube_id": "fJHFM2dOmiY", "content_kind": "Video", "readable_id": "lego-mathblock"}, {"translated_youtube_id": "YUQXdnZPdxE", "relative_url": "/video/lego-variable block", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-variable block", "duration": 485, "translated_title": "Variable block (counter)", "translated_description_html": "

Store values using the variable block (build a counter)<\/p>", "id": "x0685d40a", "description_html": "

Store values using the variable block (build a counter)<\/p>", "title": "Variable block (counter)", "progress_key": "vx0685d40a", "edit_slug": "edit/v/x0685d40a", "author_names": [], "deleted_mod_time": null, "description": "Store values using the variable block (build a counter)", "extra_properties": {}, "node_slug": "v/lego-variable block", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YUQXdnZPdxE.mp4/YUQXdnZPdxE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YUQXdnZPdxE.mp4/YUQXdnZPdxE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YUQXdnZPdxE.m3u8/YUQXdnZPdxE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YUQXdnZPdxE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0685d40a", "sha": "dd017137e7f1057ed6f4d16201e649ba5536c2f4", "translated_description": "Store values using the variable block (build a counter)", "image_url": "https://img.youtube.com/vi/YUQXdnZPdxE/hqdefault.jpg", "youtube_id": "YUQXdnZPdxE", "content_kind": "Video", "readable_id": "lego-variable block"}, {"translated_youtube_id": "-1w9RXhCmsE", "relative_url": "/video/lego-datawires", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-datawires", "duration": 154, "translated_title": "Data wires", "translated_description_html": "

data wires allow you to send values directly from input sensors to output devices<\/p>", "id": "x91ac81ad", "description_html": "

data wires allow you to send values directly from input sensors to output devices<\/p>", "title": "Data wires", "progress_key": "vx91ac81ad", "edit_slug": "edit/v/x91ac81ad", "author_names": [], "deleted_mod_time": null, "description": "data wires allow you to send values directly from input sensors to output devices", "extra_properties": {}, "node_slug": "v/lego-datawires", "deleted": false, "backup_timestamp": "2013-11-07T18:59:16Z", "date_added": "2013-11-07T18:59:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.mp4/-1w9RXhCmsE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.mp4/-1w9RXhCmsE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-1w9RXhCmsE.m3u8/-1w9RXhCmsE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-1w9RXhCmsE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx91ac81ad", "sha": "26048af325f0a7cbd3f65df15d61d523b4fb27b4", "translated_description": "data wires allow you to send values directly from input sensors to output devices", "image_url": "https://img.youtube.com/vi/-1w9RXhCmsE/hqdefault.jpg", "youtube_id": "-1w9RXhCmsE", "content_kind": "Video", "readable_id": "lego-datawires"}, {"translated_youtube_id": "jSWLolne0Oc", "relative_url": "/video/lego-sensorpolling", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lego-sensorpolling", "duration": 77, "translated_title": "Polling sensors", "translated_description_html": "

Check the real-time values of your sensors <\/p>", "id": "x8ac891f1", "description_html": "

Check the real-time values of your sensors <\/p>", "title": "Polling sensors", "progress_key": "vx8ac891f1", "edit_slug": "edit/v/x8ac891f1", "author_names": [], "deleted_mod_time": null, "description": "Check the real-time values of your sensors ", "extra_properties": {}, "node_slug": "v/lego-sensorpolling", "deleted": false, "backup_timestamp": "2013-11-07T18:59:17Z", "date_added": "2013-11-07T18:59:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.mp4/jSWLolne0Oc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.mp4/jSWLolne0Oc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jSWLolne0Oc.m3u8/jSWLolne0Oc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jSWLolne0Oc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8ac891f1", "sha": "02dd1c2f07bd73fc742703f57e9350595660c78b", "translated_description": "Check the real-time values of your sensors ", "image_url": "https://img.youtube.com/vi/jSWLolne0Oc/hqdefault.jpg", "youtube_id": "jSWLolne0Oc", "content_kind": "Video", "readable_id": "lego-sensorpolling"}], "twitter_url": "", "translated_description": "Collection of programming basics using NXT-G", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Collection of programming basics using NXT-G", "x_pos": 0.0, "node_slug": "new-topic-2013-11-07T15:08:28.609Z", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd3d5b959", "topic_page_url": "/science/discoveries-projects/lego robotics/new-topic-2013-11-07T15:08:28.609Z", "extended_slug": "science/discoveries-projects/lego robotics/new-topic-2013-11-07T15:08:28.609Z", "slug": "new-topic-2013-11-07T15:08:28.609Z", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "eefec8ab52884196baace170b4e83bf6b57d0b5d", "standalone_title": "Programming basics", "y_pos": 0.0, "current_revision_key": "eefec8ab52884196baace170b4e83bf6b57d0b5d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Introduction to the Lego NXT robotics platform", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Introduction to the Lego NXT robotics platform", "x_pos": 0.0, "node_slug": "lego robotics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T18:59:16Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6714e769", "topic_page_url": "/science/discoveries-projects/lego robotics", "extended_slug": "science/discoveries-projects/lego robotics", "slug": "lego robotics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9a42453366d22eb79c1df0fe4e6c08c1bab26ea1", "standalone_title": "Lego robotics", "y_pos": 0.0, "current_revision_key": "9a42453366d22eb79c1df0fe4e6c08c1bab26ea1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Projectile_launcher", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Projectile_launcher", "translated_standalone_title": "Projectile Launcher", "translated_title": "Projectile launcher", "gplus_url": "", "id": "xa34a0a49", "old_key_name": "zUS93SE65NdNi9gaf1UhYjyvv-QghG-Ofzhy0MjM", "hide": false, "title": "Projectile launcher", "child_data": [{"kind": "Video", "id": 1065807725}, {"kind": "Video", "id": 1061773886}, {"kind": "Video", "id": 1061855678}], "children": [{"translated_youtube_id": "rrAKZWfhzrE", "relative_url": "/video/ping-pong-ball-launcher-introduction", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ping-pong-ball-launcher-introduction", "duration": 100, "translated_title": "Ping pong ball launcher introduction", "translated_description_html": "This video highlights the projectile (ping pong ball) launcher", "id": "1065807725", "description_html": "This video highlights the projectile (ping pong ball) launcher", "title": "Ping pong ball launcher introduction", "progress_key": "v1065807725", "edit_slug": "edit/v/1065807725", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This video highlights the projectile (ping pong ball) launcher", "extra_properties": null, "node_slug": "v/ping-pong-ball-launcher-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-02T04:52:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rrAKZWfhzrE.mp4/rrAKZWfhzrE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rrAKZWfhzrE.mp4/rrAKZWfhzrE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rrAKZWfhzrE.m3u8/rrAKZWfhzrE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rrAKZWfhzrE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1065807725", "sha": "f0a4ee881acdb085f8a48936b84cc3564c237009", "translated_description": "This video highlights the projectile (ping pong ball) launcher", "image_url": "https://img.youtube.com/vi/rrAKZWfhzrE/hqdefault.jpg", "youtube_id": "rrAKZWfhzrE", "content_kind": "Video", "readable_id": "ping-pong-ball-launcher-introduction"}, {"translated_youtube_id": "SlQDuTS6FR4", "relative_url": "/video/build-a-ping-pong-ball-launcher", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/build-a-ping-pong-ball-launcher", "duration": 627, "translated_title": "Build a ping pong ball launcher ", "translated_description_html": "This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.", "id": "1061773886", "description_html": "This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.", "title": "Build a ping pong ball launcher ", "progress_key": "v1061773886", "edit_slug": "edit/v/1061773886", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.", "extra_properties": null, "node_slug": "v/build-a-ping-pong-ball-launcher", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-30T02:45:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SlQDuTS6FR4.mp4/SlQDuTS6FR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SlQDuTS6FR4.mp4/SlQDuTS6FR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SlQDuTS6FR4.m3u8/SlQDuTS6FR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SlQDuTS6FR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1061773886", "sha": "296c4a752cdfcfe1ada3eea1b127f069e419a74e", "translated_description": "This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.", "image_url": "https://img.youtube.com/vi/SlQDuTS6FR4/hqdefault.jpg", "youtube_id": "SlQDuTS6FR4", "content_kind": "Video", "readable_id": "build-a-ping-pong-ball-launcher"}, {"translated_youtube_id": "Bdd1Lu5jN08", "relative_url": "/video/update-and-modify-your-ping-pong-ball-launcher", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/update-and-modify-your-ping-pong-ball-launcher", "duration": 657, "translated_title": "Update and modify your ping pong ball launcher", "translated_description_html": "We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.", "id": "1061855678", "description_html": "We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.", "title": "Update and modify your ping pong ball launcher", "progress_key": "v1061855678", "edit_slug": "edit/v/1061855678", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.", "extra_properties": null, "node_slug": "v/update-and-modify-your-ping-pong-ball-launcher", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-30T02:47:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bdd1Lu5jN08.mp4/Bdd1Lu5jN08.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bdd1Lu5jN08.mp4/Bdd1Lu5jN08.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bdd1Lu5jN08.m3u8/Bdd1Lu5jN08.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bdd1Lu5jN08&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1061855678", "sha": "d395664971de0198fda95e218f231b9dd75e5f22", "translated_description": "We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.", "image_url": "https://img.youtube.com/vi/Bdd1Lu5jN08/hqdefault.jpg", "youtube_id": "Bdd1Lu5jN08", "content_kind": "Video", "readable_id": "update-and-modify-your-ping-pong-ball-launcher"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "Projectile_launcher", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa34a0a49", "topic_page_url": "/science/discoveries-projects/Projectile_launcher", "extended_slug": "science/discoveries-projects/Projectile_launcher", "slug": "Projectile_launcher", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d3a0852531cc77bd0cbb9273b62e35d33b452e9f", "standalone_title": "Projectile Launcher", "y_pos": 0.0, "current_revision_key": "d3a0852531cc77bd0cbb9273b62e35d33b452e9f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/thermo-can", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/thermo-can", "translated_standalone_title": "Thermodynamics", "translated_title": "Thermo can", "gplus_url": "", "id": "x61d0199b", "old_key_name": "6W-_-GI3sHTbNgEjVegEmRyMpYIfQXqUEM09h5Cy", "hide": false, "title": "Thermo can", "child_data": [{"kind": "Video", "id": 1079514170}], "children": [{"translated_youtube_id": "UQK7EAgRBpE", "relative_url": "/video/thermo-can", "has_questions": false, "keywords": "Thermodynamics, boat", "ka_url": "http://www.khanacademy.org/video/thermo-can", "duration": 234, "translated_title": "Thermo can", "translated_description_html": "

This project shows how to power a boat with a candle.<\/p>\n", "id": "1079514170", "description_html": "

This project shows how to power a boat with a candle.<\/p>\n", "title": "Thermo can", "progress_key": "v1079514170", "edit_slug": "edit/v/1079514170", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This project shows how to power a boat with a candle.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/thermo-can", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-10-10T03:29:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UQK7EAgRBpE.mp4/UQK7EAgRBpE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UQK7EAgRBpE.mp4/UQK7EAgRBpE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UQK7EAgRBpE.m3u8/UQK7EAgRBpE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UQK7EAgRBpE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1079514170", "sha": "bf6eeb4666bc961cc59aee8927b9b080948a19a2", "translated_description": "This project shows how to power a boat with a candle.\n", "image_url": "https://img.youtube.com/vi/UQK7EAgRBpE/hqdefault.jpg", "youtube_id": "UQK7EAgRBpE", "content_kind": "Video", "readable_id": "thermo-can"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "thermo-can", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T22:12:03Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax61d0199b", "topic_page_url": "/science/discoveries-projects/thermo-can", "extended_slug": "science/discoveries-projects/thermo-can", "slug": "thermo-can", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "659f5a4c37b16de1bd1b25fa1260185adf054511", "standalone_title": "Thermodynamics", "y_pos": 0.0, "current_revision_key": "659f5a4c37b16de1bd1b25fa1260185adf054511", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/discovery-lab-2013", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/discovery-lab-2013", "translated_standalone_title": "Discovery Lab 2013", "translated_title": "Discovery Lab 2013", "gplus_url": "", "id": "x3319f34f", "old_key_name": null, "hide": false, "title": "Discovery Lab 2013", "child_data": [{"kind": "Video", "id": "x239ec940"}, {"kind": "Video", "id": "x314127d3"}, {"kind": "Video", "id": "xa6bd480f"}, {"kind": "Video", "id": "x81ac4903"}, {"kind": "Video", "id": "xd1ac408c"}, {"kind": "Video", "id": "x7f5e95ca"}, {"kind": "Video", "id": "xfe943e48"}, {"kind": "Video", "id": "xcf2316b4"}, {"kind": "Video", "id": "x2a5f0982"}, {"kind": "Video", "id": "xc4b99373"}, {"kind": "Video", "id": "xbba4bf3d"}, {"kind": "Video", "id": "xa81b682d"}, {"kind": "Video", "id": "xae01ddff"}, {"kind": "Video", "id": "xaff4ad14"}, {"kind": "Video", "id": "xffa2786d"}, {"kind": "Video", "id": "xca85182c"}], "children": [{"translated_youtube_id": "MnPQtnYn1fQ", "relative_url": "/video/Intel-and-discovery-lab", "has_questions": false, "keywords": "Intel and Khan Academy's Discovery Lab", "ka_url": "http://www.khanacademy.org/video/Intel-and-discovery-lab", "duration": 179, "translated_title": "Intel and Khan Academy's Discovery Lab", "translated_description_html": "

Discovery Lab 2013 was created and led by Karl Wendt with a team of amazing teachers and volunteers<\/p>", "id": "x239ec940", "description_html": "

Discovery Lab 2013 was created and led by Karl Wendt with a team of amazing teachers and volunteers<\/p>", "title": "Intel and Khan Academy's Discovery Lab", "progress_key": "vx239ec940", "edit_slug": "edit/v/x239ec940", "author_names": [], "deleted_mod_time": null, "description": "Discovery Lab 2013 was created and led by Karl Wendt with a team of amazing teachers and volunteers", "extra_properties": {}, "node_slug": "v/Intel-and-discovery-lab", "deleted": false, "backup_timestamp": "2013-09-27T16:49:47Z", "date_added": "2013-09-27T16:44:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MnPQtnYn1fQ.mp4/MnPQtnYn1fQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MnPQtnYn1fQ.mp4/MnPQtnYn1fQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MnPQtnYn1fQ.m3u8/MnPQtnYn1fQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MnPQtnYn1fQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx239ec940", "sha": "db3366a212d8d69f6db89c67a74046aba24451c4", "translated_description": "Discovery Lab 2013 was created and led by Karl Wendt with a team of amazing teachers and volunteers", "image_url": "https://img.youtube.com/vi/MnPQtnYn1fQ/hqdefault.jpg", "youtube_id": "MnPQtnYn1fQ", "content_kind": "Video", "readable_id": "Intel-and-discovery-lab"}, {"translated_youtube_id": "evdORkjbVMw", "relative_url": "/video/discovery-lab-overview", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab-overview", "duration": 162, "translated_title": "Discovery lab overview", "translated_description_html": "", "id": "x314127d3", "description_html": "", "title": "Discovery lab overview", "progress_key": "vx314127d3", "edit_slug": "edit/v/x314127d3", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab-overview", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T21:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/evdORkjbVMw.mp4/evdORkjbVMw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/evdORkjbVMw.mp4/evdORkjbVMw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/evdORkjbVMw.m3u8/evdORkjbVMw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=evdORkjbVMw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx314127d3", "sha": "7fdc7156b26c97c572ca4826f06d4c4103f52b84", "translated_description": "", "image_url": "https://img.youtube.com/vi/evdORkjbVMw/hqdefault.jpg", "youtube_id": "evdORkjbVMw", "content_kind": "Video", "readable_id": "discovery-lab-overview"}, {"translated_youtube_id": "eaHzeFUxSYc", "relative_url": "/video/discovery-lab--monty-hall", "has_questions": false, "keywords": "Discovery Lab Monty Hall", "ka_url": "http://www.khanacademy.org/video/discovery-lab--monty-hall", "duration": 72, "translated_title": "Monty hall", "translated_description_html": "", "id": "xa6bd480f", "description_html": "", "title": "Monty hall", "progress_key": "vxa6bd480f", "edit_slug": "edit/v/xa6bd480f", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab--monty-hall", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eaHzeFUxSYc.mp4/eaHzeFUxSYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eaHzeFUxSYc.mp4/eaHzeFUxSYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eaHzeFUxSYc.m3u8/eaHzeFUxSYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eaHzeFUxSYc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa6bd480f", "sha": "d99eefb251d334f0e43e9427d380140711239e3d", "translated_description": "", "image_url": "https://img.youtube.com/vi/eaHzeFUxSYc/hqdefault.jpg", "youtube_id": "eaHzeFUxSYc", "content_kind": "Video", "readable_id": "discovery-lab--monty-hall"}, {"translated_youtube_id": "MpiM4C26sbY", "relative_url": "/video/discovery-lab---isocahedron", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---isocahedron", "duration": 64, "translated_title": "Icosahedron", "translated_description_html": "", "id": "x81ac4903", "description_html": "", "title": "Icosahedron", "progress_key": "vx81ac4903", "edit_slug": "edit/v/x81ac4903", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---isocahedron", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MpiM4C26sbY.mp4/MpiM4C26sbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MpiM4C26sbY.mp4/MpiM4C26sbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MpiM4C26sbY.m3u8/MpiM4C26sbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MpiM4C26sbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx81ac4903", "sha": "09c3a50e130b46407da6d687210b967ed4e51137", "translated_description": "", "image_url": "https://img.youtube.com/vi/MpiM4C26sbY/hqdefault.jpg", "youtube_id": "MpiM4C26sbY", "content_kind": "Video", "readable_id": "discovery-lab---isocahedron"}, {"translated_youtube_id": "03fkmtPDhcE", "relative_url": "/video/lemonade-stand---competitive-markets", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lemonade-stand---competitive-markets", "duration": 97, "translated_title": "Lemonade stand", "translated_description_html": "", "id": "xd1ac408c", "description_html": "", "title": "Lemonade stand", "progress_key": "vxd1ac408c", "edit_slug": "edit/v/xd1ac408c", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/lemonade-stand---competitive-markets", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/03fkmtPDhcE.mp4/03fkmtPDhcE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/03fkmtPDhcE.mp4/03fkmtPDhcE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/03fkmtPDhcE.m3u8/03fkmtPDhcE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=03fkmtPDhcE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd1ac408c", "sha": "f30ab7613b5bffca15570eb1d60230a9557eb162", "translated_description": "", "image_url": "https://img.youtube.com/vi/03fkmtPDhcE/hqdefault.jpg", "youtube_id": "03fkmtPDhcE", "content_kind": "Video", "readable_id": "lemonade-stand---competitive-markets"}, {"translated_youtube_id": "Weymq89kwAw", "relative_url": "/video/discovery-lab---magician-s-guess", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---magician-s-guess", "duration": 102, "translated_title": "Magician's guess", "translated_description_html": "", "id": "x7f5e95ca", "description_html": "", "title": "Magician's guess", "progress_key": "vx7f5e95ca", "edit_slug": "edit/v/x7f5e95ca", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---magician-s-guess", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Weymq89kwAw.mp4/Weymq89kwAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Weymq89kwAw.mp4/Weymq89kwAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Weymq89kwAw.m3u8/Weymq89kwAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Weymq89kwAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f5e95ca", "sha": "c3394c723703a57327f8def53f348131903834f8", "translated_description": "", "image_url": "https://img.youtube.com/vi/Weymq89kwAw/hqdefault.jpg", "youtube_id": "Weymq89kwAw", "content_kind": "Video", "readable_id": "discovery-lab---magician-s-guess"}, {"translated_youtube_id": "LeZsfzlbje4", "relative_url": "/video/discovery-lab---explore---bridge-building", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---explore---bridge-building", "duration": 189, "translated_title": "Bridge building", "translated_description_html": "", "id": "xfe943e48", "description_html": "", "title": "Bridge building", "progress_key": "vxfe943e48", "edit_slug": "edit/v/xfe943e48", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---explore---bridge-building", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LeZsfzlbje4.mp4/LeZsfzlbje4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LeZsfzlbje4.mp4/LeZsfzlbje4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LeZsfzlbje4.m3u8/LeZsfzlbje4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LeZsfzlbje4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe943e48", "sha": "388c0216d301041a8d1bf18cbe342c1c283a01e8", "translated_description": "", "image_url": "https://img.youtube.com/vi/LeZsfzlbje4/hqdefault.jpg", "youtube_id": "LeZsfzlbje4", "content_kind": "Video", "readable_id": "discovery-lab---explore---bridge-building"}, {"translated_youtube_id": "XLMs9jqMYOY", "relative_url": "/video/discovery-lab---explore-instructor-reflections", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---explore-instructor-reflections", "duration": 140, "translated_title": "Explore instructor reflections", "translated_description_html": "", "id": "xcf2316b4", "description_html": "", "title": "Explore instructor reflections", "progress_key": "vxcf2316b4", "edit_slug": "edit/v/xcf2316b4", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---explore-instructor-reflections", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-06T18:43:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XLMs9jqMYOY.mp4/XLMs9jqMYOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XLMs9jqMYOY.mp4/XLMs9jqMYOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XLMs9jqMYOY.m3u8/XLMs9jqMYOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XLMs9jqMYOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcf2316b4", "sha": "98493c5de05d79d8c805fd76248dc539e9fab158", "translated_description": "", "image_url": "https://img.youtube.com/vi/XLMs9jqMYOY/hqdefault.jpg", "youtube_id": "XLMs9jqMYOY", "content_kind": "Video", "readable_id": "discovery-lab---explore-instructor-reflections"}, {"translated_youtube_id": "odpzXKZDTt0", "relative_url": "/video/discovery-lab---design---building-lego-robots", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---design---building-lego-robots", "duration": 113, "translated_title": "inspiration: sumo robots", "translated_description_html": "

Inspiration from Khan Academy's Discovery Lab<\/p>", "id": "x2a5f0982", "description_html": "

Inspiration from Khan Academy's Discovery Lab<\/p>", "title": "inspiration: sumo robots", "progress_key": "vx2a5f0982", "edit_slug": "edit/v/x2a5f0982", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "Inspiration from Khan Academy's Discovery Lab", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---design---building-lego-robots", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.mp4/odpzXKZDTt0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.mp4/odpzXKZDTt0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/odpzXKZDTt0.m3u8/odpzXKZDTt0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=odpzXKZDTt0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2a5f0982", "sha": "1f93cd611ea290f4bd1f2c44615164964e773872", "translated_description": "Inspiration from Khan Academy's Discovery Lab", "image_url": "https://img.youtube.com/vi/odpzXKZDTt0/hqdefault.jpg", "youtube_id": "odpzXKZDTt0", "content_kind": "Video", "readable_id": "discovery-lab---design---building-lego-robots"}, {"translated_youtube_id": "2WEKGlvcVEw", "relative_url": "/video/discovery-lab--rube-goldberg---the-design-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab--rube-goldberg---the-design-process", "duration": 98, "translated_title": "Rube Goldberg", "translated_description_html": "", "id": "xc4b99373", "description_html": "", "title": "Rube Goldberg", "progress_key": "vxc4b99373", "edit_slug": "edit/v/xc4b99373", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab--rube-goldberg---the-design-process", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T18:46:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2WEKGlvcVEw.mp4/2WEKGlvcVEw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2WEKGlvcVEw.mp4/2WEKGlvcVEw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2WEKGlvcVEw.m3u8/2WEKGlvcVEw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2WEKGlvcVEw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc4b99373", "sha": "1d54b8cfed887c14324b2896f7b7ec1b773916a8", "translated_description": "", "image_url": "https://img.youtube.com/vi/2WEKGlvcVEw/hqdefault.jpg", "youtube_id": "2WEKGlvcVEw", "content_kind": "Video", "readable_id": "discovery-lab--rube-goldberg---the-design-process"}, {"translated_youtube_id": "a5uvg9PSJcY", "relative_url": "/video/discovery-lab--spout-bot-innovation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab--spout-bot-innovation", "duration": 69, "translated_title": "Spout Bot innovation", "translated_description_html": "", "id": "xbba4bf3d", "description_html": "", "title": "Spout Bot innovation", "progress_key": "vxbba4bf3d", "edit_slug": "edit/v/xbba4bf3d", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab--spout-bot-innovation", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5uvg9PSJcY.mp4/a5uvg9PSJcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5uvg9PSJcY.mp4/a5uvg9PSJcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5uvg9PSJcY.m3u8/a5uvg9PSJcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5uvg9PSJcY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbba4bf3d", "sha": "5159316ee1fd95a70c153a5f0186be806e5e5684", "translated_description": "", "image_url": "https://img.youtube.com/vi/a5uvg9PSJcY/hqdefault.jpg", "youtube_id": "a5uvg9PSJcY", "content_kind": "Video", "readable_id": "discovery-lab--spout-bot-innovation"}, {"translated_youtube_id": "xV5gCoDUDjY", "relative_url": "/video/discovery-lab---spout-bot-builds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---spout-bot-builds", "duration": 167, "translated_title": "Spout Bot build", "translated_description_html": "", "id": "xa81b682d", "description_html": "", "title": "Spout Bot build", "progress_key": "vxa81b682d", "edit_slug": "edit/v/xa81b682d", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---spout-bot-builds", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xV5gCoDUDjY.mp4/xV5gCoDUDjY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xV5gCoDUDjY.mp4/xV5gCoDUDjY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xV5gCoDUDjY.m3u8/xV5gCoDUDjY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xV5gCoDUDjY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa81b682d", "sha": "cff97d7426fb4cde75da8cfd6fe9bbea5f88bcdc", "translated_description": "", "image_url": "https://img.youtube.com/vi/xV5gCoDUDjY/hqdefault.jpg", "youtube_id": "xV5gCoDUDjY", "content_kind": "Video", "readable_id": "discovery-lab---spout-bot-builds"}, {"translated_youtube_id": "02-uWdzs7o8", "relative_url": "/video/discovery-lab---spout-comes-alive", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab---spout-comes-alive", "duration": 61, "translated_title": "Spout comes alive", "translated_description_html": "", "id": "xae01ddff", "description_html": "", "title": "Spout comes alive", "progress_key": "vxae01ddff", "edit_slug": "edit/v/xae01ddff", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab---spout-comes-alive", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:55:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/02-uWdzs7o8.mp4/02-uWdzs7o8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/02-uWdzs7o8.mp4/02-uWdzs7o8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/02-uWdzs7o8.m3u8/02-uWdzs7o8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=02-uWdzs7o8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxae01ddff", "sha": "b3d0f64506494ce546de411713f9f950e2e78df5", "translated_description": "", "image_url": "https://img.youtube.com/vi/02-uWdzs7o8/hqdefault.jpg", "youtube_id": "02-uWdzs7o8", "content_kind": "Video", "readable_id": "discovery-lab---spout-comes-alive"}, {"translated_youtube_id": "By11dtc-IEo", "relative_url": "/video/spout-instructor-reflections", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spout-instructor-reflections", "duration": 145, "translated_title": "Spout instructor reflections", "translated_description_html": "", "id": "xaff4ad14", "description_html": "", "title": "Spout instructor reflections", "progress_key": "vxaff4ad14", "edit_slug": "edit/v/xaff4ad14", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-05T18:55:50Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/spout-instructor-reflections", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-05T18:46:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/By11dtc-IEo.mp4/By11dtc-IEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/By11dtc-IEo.mp4/By11dtc-IEo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/By11dtc-IEo.m3u8/By11dtc-IEo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=By11dtc-IEo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaff4ad14", "sha": "f2b5263a5230448f5c7243a8e5376c51c526438c", "translated_description": "", "image_url": "https://img.youtube.com/vi/By11dtc-IEo/hqdefault.jpg", "youtube_id": "By11dtc-IEo", "content_kind": "Video", "readable_id": "spout-instructor-reflections"}, {"translated_youtube_id": "T-pMxaKnFx8", "relative_url": "/video/discovery-lab-2013--build-up-to-bridge-testing", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab-2013--build-up-to-bridge-testing", "duration": 82, "translated_title": "Build up to bridge testing", "translated_description_html": "", "id": "xffa2786d", "description_html": "", "title": "Build up to bridge testing", "progress_key": "vxffa2786d", "edit_slug": "edit/v/xffa2786d", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab-2013--build-up-to-bridge-testing", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-10T00:09:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T-pMxaKnFx8.mp4/T-pMxaKnFx8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T-pMxaKnFx8.mp4/T-pMxaKnFx8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T-pMxaKnFx8.m3u8/T-pMxaKnFx8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T-pMxaKnFx8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxffa2786d", "sha": "28546a45675c96ab90453d552324ef1030f38627", "translated_description": "", "image_url": "https://img.youtube.com/vi/T-pMxaKnFx8/hqdefault.jpg", "youtube_id": "T-pMxaKnFx8", "content_kind": "Video", "readable_id": "discovery-lab-2013--build-up-to-bridge-testing"}, {"translated_youtube_id": "n7dI4n-0xGw", "relative_url": "/video/discovery-lab--exhibition-day", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/discovery-lab--exhibition-day", "duration": 98, "translated_title": "Exhibition day", "translated_description_html": "", "id": "xca85182c", "description_html": "", "title": "Exhibition day", "progress_key": "vxca85182c", "edit_slug": "edit/v/xca85182c", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-09T21:57:56Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/discovery-lab--exhibition-day", "deleted": false, "backup_timestamp": "2013-09-25T15:22:56Z", "date_added": "2013-08-09T21:57:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n7dI4n-0xGw.mp4/n7dI4n-0xGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n7dI4n-0xGw.mp4/n7dI4n-0xGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n7dI4n-0xGw.m3u8/n7dI4n-0xGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n7dI4n-0xGw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxca85182c", "sha": "5e605e1ddbcb797abc9a74104693945fb04157cb", "translated_description": "", "image_url": "https://img.youtube.com/vi/n7dI4n-0xGw/hqdefault.jpg", "youtube_id": "n7dI4n-0xGw", "content_kind": "Video", "readable_id": "discovery-lab--exhibition-day"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-08-05T18:55:50Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "discovery-lab-2013", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-27T17:16:54Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3319f34f", "topic_page_url": "/science/discoveries-projects/discovery-lab-2013", "extended_slug": "science/discoveries-projects/discovery-lab-2013", "slug": "discovery-lab-2013", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "994dc5620f5bd0e20b166ee4629cfecb50ebca62", "standalone_title": "Discovery Lab 2013", "y_pos": 0.0, "current_revision_key": "994dc5620f5bd0e20b166ee4629cfecb50ebca62", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "science", "relative_url": "/science/discoveries-projects/Discovery-Lab-2012", "web_url": "", "ka_url": "http://www.khanacademy.org/science/discoveries-projects/Discovery-Lab-2012", "translated_standalone_title": "Discovery Lab 2012", "translated_title": "Discovery Lab 2012", "gplus_url": "", "id": "x1ae73254", "old_key_name": null, "hide": false, "title": "Discovery Lab 2012", "child_data": [{"kind": "Video", "id": 1240687212}, {"kind": "Video", "id": "x542a201e"}, {"kind": "Video", "id": "x8cbf4715"}, {"kind": "Video", "id": "x13e3c6bf"}, {"kind": "Video", "id": "x2dc81619"}], "children": [{"translated_youtube_id": "C6anMRFCt4s", "relative_url": "/video/khan-academy-s-discovery-lab-offers-hands-on-learning", "has_questions": false, "keywords": "Discovery Lab, Karl Wendt, Hands-on projects,", "ka_url": "http://www.khanacademy.org/video/khan-academy-s-discovery-lab-offers-hands-on-learning", "duration": 292, "translated_title": "Khan Academy's Discovery Lab offers hands-on learning", "translated_description_html": "", "id": "1240687212", "description_html": "", "title": "Khan Academy's Discovery Lab offers hands-on learning", "progress_key": "v1240687212", "edit_slug": "edit/v/1240687212", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-s-discovery-lab-offers-hands-on-learning", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2012-12-19T22:58:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.mp4/C6anMRFCt4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.mp4/C6anMRFCt4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.m3u8/C6anMRFCt4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6anMRFCt4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1240687212", "sha": "216d2f942046fdb9516bfd565119260dabd3635d", "translated_description": "", "image_url": "https://img.youtube.com/vi/C6anMRFCt4s/hqdefault.jpg", "youtube_id": "C6anMRFCt4s", "content_kind": "Video", "readable_id": "khan-academy-s-discovery-lab-offers-hands-on-learning"}, {"translated_youtube_id": "G8lI6niHjKU", "relative_url": "/video/khan-dl-week-3---vannesa--melvin---greta", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-dl-week-3---vannesa--melvin---greta", "duration": 135, "translated_title": "Reverse engineering", "translated_description_html": "", "id": "x542a201e", "description_html": "", "title": "Reverse engineering", "progress_key": "vx542a201e", "edit_slug": "edit/v/x542a201e", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-dl-week-3---vannesa--melvin---greta", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2013-08-06T23:20:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G8lI6niHjKU.mp4/G8lI6niHjKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G8lI6niHjKU.mp4/G8lI6niHjKU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G8lI6niHjKU.m3u8/G8lI6niHjKU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G8lI6niHjKU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx542a201e", "sha": "af8757cf56c75f7b53b7ed2e74e7cf4601a05358", "translated_description": "", "image_url": "https://img.youtube.com/vi/G8lI6niHjKU/hqdefault.jpg", "youtube_id": "G8lI6niHjKU", "content_kind": "Video", "readable_id": "khan-dl-week-3---vannesa--melvin---greta"}, {"translated_youtube_id": "Z-gq3nV2mmM", "relative_url": "/video/khan-dl-week-2---philip-and-miles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-dl-week-2---philip-and-miles", "duration": 64, "translated_title": "Computer science", "translated_description_html": "", "id": "x8cbf4715", "description_html": "", "title": "Computer science", "progress_key": "vx8cbf4715", "edit_slug": "edit/v/x8cbf4715", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-dl-week-2---philip-and-miles", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2013-08-06T23:20:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z-gq3nV2mmM.mp4/Z-gq3nV2mmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z-gq3nV2mmM.mp4/Z-gq3nV2mmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z-gq3nV2mmM.m3u8/Z-gq3nV2mmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z-gq3nV2mmM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8cbf4715", "sha": "918bc5b50997641973b47c9dc024b475f214f761", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z-gq3nV2mmM/hqdefault.jpg", "youtube_id": "Z-gq3nV2mmM", "content_kind": "Video", "readable_id": "khan-dl-week-2---philip-and-miles"}, {"translated_youtube_id": "HGsg7OZiHhE", "relative_url": "/video/khan-dl-week-2---arshia", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-dl-week-2---arshia", "duration": 123, "translated_title": "Lego robotics", "translated_description_html": "", "id": "x13e3c6bf", "description_html": "", "title": "Lego robotics", "progress_key": "vx13e3c6bf", "edit_slug": "edit/v/x13e3c6bf", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-08-06T23:20:13Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-dl-week-2---arshia", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2013-08-06T23:20:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HGsg7OZiHhE.mp4/HGsg7OZiHhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HGsg7OZiHhE.mp4/HGsg7OZiHhE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HGsg7OZiHhE.m3u8/HGsg7OZiHhE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HGsg7OZiHhE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx13e3c6bf", "sha": "4b31d50bda28629cadc60da2321305b65745ae91", "translated_description": "", "image_url": "https://img.youtube.com/vi/HGsg7OZiHhE/hqdefault.jpg", "youtube_id": "HGsg7OZiHhE", "content_kind": "Video", "readable_id": "khan-dl-week-2---arshia"}, {"translated_youtube_id": "aQE5PcQQ2b4", "relative_url": "/video/antbots-in-action", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/antbots-in-action", "duration": 30, "translated_title": "Robots in action", "translated_description_html": "", "id": "x2dc81619", "description_html": "", "title": "Robots in action", "progress_key": "vx2dc81619", "edit_slug": "edit/v/x2dc81619", "author_names": ["Karl Wendt"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/antbots-in-action", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2013-08-07T18:25:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aQE5PcQQ2b4.mp4/aQE5PcQQ2b4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aQE5PcQQ2b4.mp4/aQE5PcQQ2b4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aQE5PcQQ2b4.m3u8/aQE5PcQQ2b4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aQE5PcQQ2b4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2dc81619", "sha": "a439f1216c2247801067e9aa9cc2fc48a92beecc", "translated_description": "", "image_url": "https://img.youtube.com/vi/aQE5PcQQ2b4/hqdefault.jpg", "youtube_id": "aQE5PcQQ2b4", "content_kind": "Video", "readable_id": "antbots-in-action"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "Discovery-Lab-2012", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T18:20:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1ae73254", "topic_page_url": "/science/discoveries-projects/Discovery-Lab-2012", "extended_slug": "science/discoveries-projects/Discovery-Lab-2012", "slug": "Discovery-Lab-2012", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d709c5a8671f9b98535a2a8d7ba550bec24d1544", "standalone_title": "Discovery Lab 2012", "y_pos": 0.0, "current_revision_key": "d709c5a8671f9b98535a2a8d7ba550bec24d1544", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "discoveries-projects", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axae887ec6", "topic_page_url": "/science/discoveries-projects", "extended_slug": "science/discoveries-projects", "slug": "discoveries-projects", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7f28be510f167810c629033061c1f0d902373e6b", "standalone_title": "Discoveries and projects", "y_pos": 0.0, "current_revision_key": "7f28be510f167810c629033061c1f0d902373e6b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": null, "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": null, "x_pos": 0.0, "node_slug": "science", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T01:18:16Z", "render_type": "Domain", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb92336a2", "topic_page_url": null, "extended_slug": "science", "slug": "science", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "cbdfb1dd11d4f9795b62c4f153cb9bf6ee697aee", "standalone_title": "Science", "y_pos": 0.0, "current_revision_key": "cbdfb1dd11d4f9795b62c4f153cb9bf6ee697aee", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Economics and finance", "translated_title": "Economics and finance", "gplus_url": "", "id": "x5ca94af1", "old_key_name": null, "hide": false, "title": "Economics and finance", "child_data": [{"kind": "Topic", "id": "xaacaf77b"}, {"kind": "Topic", "id": "xb796673d"}, {"kind": "Topic", "id": "x7b572fe4"}, {"kind": "Topic", "id": "xae2cab8b"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics", "translated_standalone_title": "Microeconomics", "translated_title": "Microeconomics", "gplus_url": "", "id": "xaacaf77b", "old_key_name": "9A5vYkHMtWtvulsVpk0uXm4Bm-183MIWp21DKNME", "hide": false, "title": "Microeconomics", "child_data": [{"kind": "Topic", "id": "x65e6dce0"}, {"kind": "Topic", "id": "x5ff8038a"}, {"kind": "Topic", "id": "x9446d66b"}, {"kind": "Topic", "id": "x7d52cd8b"}, {"kind": "Topic", "id": "x6eb7f0af"}, {"kind": "Topic", "id": "x4e921a04"}, {"kind": "Topic", "id": "x98f0ee09"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium", "translated_standalone_title": "Supply, demand and market equilibrium", "translated_title": "Supply, demand and market equilibrium", "gplus_url": "", "id": "x65e6dce0", "old_key_name": "Rjmf21CkQZtpTvXop0O1-U7jooj8ol19Z8UUIrRo", "hide": false, "title": "Supply, demand and market equilibrium", "child_data": [{"kind": "Topic", "id": "xd0b6fffd"}, {"kind": "Topic", "id": "xadd5aac6"}, {"kind": "Topic", "id": "x395efef9"}, {"kind": "Topic", "id": "xca0dbed8"}, {"kind": "Topic", "id": "xc434a8f8"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction", "translated_standalone_title": "Introduction to economics", "translated_title": "Introduction to economics", "gplus_url": "", "id": "xd0b6fffd", "old_key_name": "E68JUsPFMOfbrZz6W5bw-7tT-G9mj1fsj3Ql_14X", "hide": false, "title": "Introduction to economics", "child_data": [{"kind": "Video", "id": 878129397}], "children": [{"translated_youtube_id": "8JYP_wU1JTU", "relative_url": "/video/introduction-to-economics", "has_questions": false, "keywords": "the, wealth, of, nations, macro, micro, economics, capitalism", "ka_url": "http://www.khanacademy.org/video/introduction-to-economics", "duration": 599, "translated_title": "Introduction to economics", "translated_description_html": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "id": "878129397", "description_html": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "title": "Introduction to economics", "progress_key": "v878129397", "edit_slug": "edit/v/878129397", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "extra_properties": null, "node_slug": "v/introduction-to-economics", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-06-29T00:49:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.mp4/8JYP_wU1JTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.mp4/8JYP_wU1JTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.m3u8/8JYP_wU1JTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8JYP_wU1JTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878129397", "sha": "ec408b60a90b1ecfe967dd1d49995bc5b47d05d6", "translated_description": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "image_url": "https://img.youtube.com/vi/8JYP_wU1JTU/hqdefault.jpg", "youtube_id": "8JYP_wU1JTU", "content_kind": "Video", "readable_id": "introduction-to-economics"}], "twitter_url": "", "translated_description": "This tutorial (that only has one video) is an overview of what economics is. In particular it will tell you the difference between microeconomics (the subject you're in right now) and macroeconomics. Really good first watch to give you some context on the world of economics.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial (that only has one video) is an overview of what economics is. In particular it will tell you the difference between microeconomics (the subject you're in right now) and macroeconomics. Really good first watch to give you some context on the world of economics.", "x_pos": 0.0, "node_slug": "economics-introduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd0b6fffd", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction", "slug": "economics-introduction", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ec9362077480ac42777995ac5c150311f6273e59", "standalone_title": "Introduction to economics", "y_pos": 0.0, "current_revision_key": "ec9362077480ac42777995ac5c150311f6273e59", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial", "translated_standalone_title": "The demand curve", "translated_title": "The demand curve", "gplus_url": "", "id": "xadd5aac6", "old_key_name": "R0mX82zWJIICa6on7o706o5n3EFTvkbPC0uXisYU", "hide": false, "title": "The demand curve", "child_data": [{"kind": "Video", "id": 471262127}, {"kind": "Video", "id": 1266634647}, {"kind": "Video", "id": 471258160}, {"kind": "Video", "id": 471262128}, {"kind": "Video", "id": 471262131}, {"kind": "Video", "id": 476379114}], "children": [{"translated_youtube_id": "ShzPtU7IOXs", "relative_url": "/video/law-of-demand", "has_questions": false, "keywords": "economics, supply, demand", "ka_url": "http://www.khanacademy.org/video/law-of-demand", "duration": 496, "translated_title": "Law of demand", "translated_description_html": "Example of the law of demand", "id": "471262127", "description_html": "Example of the law of demand", "title": "Law of demand", "progress_key": "v471262127", "edit_slug": "edit/v/471262127", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Example of the law of demand", "extra_properties": null, "node_slug": "v/law-of-demand", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ShzPtU7IOXs.mp4/ShzPtU7IOXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ShzPtU7IOXs.mp4/ShzPtU7IOXs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ShzPtU7IOXs.m3u8/ShzPtU7IOXs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ShzPtU7IOXs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471262127", "sha": "58e1166e592c727a4a0bc2c4836c1ae939fe3430", "translated_description": "Example of the law of demand", "image_url": "https://img.youtube.com/vi/ShzPtU7IOXs/hqdefault.jpg", "youtube_id": "ShzPtU7IOXs", "content_kind": "Video", "readable_id": "law-of-demand"}, {"translated_youtube_id": "7siSvYs84fg", "relative_url": "/video/change-in-expected-future-prices-and-demand", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/change-in-expected-future-prices-and-demand", "duration": 274, "translated_title": "Change in expected future prices and demand", "translated_description_html": "", "id": "1266634647", "description_html": "", "title": "Change in expected future prices and demand", "progress_key": "v1266634647", "edit_slug": "edit/v/1266634647", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/change-in-expected-future-prices-and-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-04T20:31:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7siSvYs84fg.mp4/7siSvYs84fg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7siSvYs84fg.mp4/7siSvYs84fg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7siSvYs84fg.m3u8/7siSvYs84fg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7siSvYs84fg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1266634647", "sha": "3cebe68919b5289b193976c0c9d48753288e8ebc", "translated_description": "", "image_url": "https://img.youtube.com/vi/7siSvYs84fg/hqdefault.jpg", "youtube_id": "7siSvYs84fg", "content_kind": "Video", "readable_id": "change-in-expected-future-prices-and-demand"}, {"translated_youtube_id": "-oClpRv7msg", "relative_url": "/video/price-of-related-products-and-demand", "has_questions": false, "keywords": "supply, demand, economics", "ka_url": "http://www.khanacademy.org/video/price-of-related-products-and-demand", "duration": 348, "translated_title": "Price of related products and demand", "translated_description_html": "How changes in the price of related goods can shift demand", "id": "471258160", "description_html": "How changes in the price of related goods can shift demand", "title": "Price of related products and demand", "progress_key": "v471258160", "edit_slug": "edit/v/471258160", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How changes in the price of related goods can shift demand", "extra_properties": null, "node_slug": "v/price-of-related-products-and-demand", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oClpRv7msg.mp4/-oClpRv7msg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oClpRv7msg.mp4/-oClpRv7msg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oClpRv7msg.m3u8/-oClpRv7msg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oClpRv7msg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471258160", "sha": "2f3c97a38d90246ad375732c7fe108fe03042f50", "translated_description": "How changes in the price of related goods can shift demand", "image_url": "https://img.youtube.com/vi/-oClpRv7msg/hqdefault.jpg", "youtube_id": "-oClpRv7msg", "content_kind": "Video", "readable_id": "price-of-related-products-and-demand"}, {"translated_youtube_id": "do1HDIdfQkU", "relative_url": "/video/changes-in-income--population--or-preferences", "has_questions": false, "keywords": "economics, supply, and, demand", "ka_url": "http://www.khanacademy.org/video/changes-in-income--population--or-preferences", "duration": 213, "translated_title": "Changes in income, population, or preferences", "translated_description_html": "How demand can be affected by changes in income, population or preferences", "id": "471262128", "description_html": "How demand can be affected by changes in income, population or preferences", "title": "Changes in income, population, or preferences", "progress_key": "v471262128", "edit_slug": "edit/v/471262128", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How demand can be affected by changes in income, population or preferences", "extra_properties": {"original_url": ""}, "node_slug": "v/changes-in-income--population--or-preferences", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/do1HDIdfQkU.mp4/do1HDIdfQkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/do1HDIdfQkU.mp4/do1HDIdfQkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/do1HDIdfQkU.m3u8/do1HDIdfQkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=do1HDIdfQkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471262128", "sha": "9feb92f935887d157d0df61e90e872ccf197e0df", "translated_description": "How demand can be affected by changes in income, population or preferences", "image_url": "https://img.youtube.com/vi/do1HDIdfQkU/hqdefault.jpg", "youtube_id": "do1HDIdfQkU", "content_kind": "Video", "readable_id": "changes-in-income--population--or-preferences"}, {"translated_youtube_id": "wYuAwm-5-Bk", "relative_url": "/video/normal-and-inferior-goods", "has_questions": false, "keywords": "normal, inferior, income, effect", "ka_url": "http://www.khanacademy.org/video/normal-and-inferior-goods", "duration": 356, "translated_title": "Normal and inferior goods", "translated_description_html": "How the demand for some goods could actually go down if incomes go up", "id": "471262131", "description_html": "How the demand for some goods could actually go down if incomes go up", "title": "Normal and inferior goods", "progress_key": "v471262131", "edit_slug": "edit/v/471262131", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the demand for some goods could actually go down if incomes go up", "extra_properties": null, "node_slug": "v/normal-and-inferior-goods", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYuAwm-5-Bk.mp4/wYuAwm-5-Bk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYuAwm-5-Bk.mp4/wYuAwm-5-Bk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wYuAwm-5-Bk.m3u8/wYuAwm-5-Bk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wYuAwm-5-Bk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471262131", "sha": "913783d83fb4f2080f45e1bccc201f3256005d74", "translated_description": "How the demand for some goods could actually go down if incomes go up", "image_url": "https://img.youtube.com/vi/wYuAwm-5-Bk/hqdefault.jpg", "youtube_id": "wYuAwm-5-Bk", "content_kind": "Video", "readable_id": "normal-and-inferior-goods"}, {"translated_youtube_id": "TAhRoJB34nw", "relative_url": "/video/inferior-goods-clarification", "has_questions": false, "keywords": "economics, demand, curve", "ka_url": "http://www.khanacademy.org/video/inferior-goods-clarification", "duration": 319, "translated_title": "Inferior goods clarification", "translated_description_html": "More clarification on inferior and normal goods", "id": "476379114", "description_html": "More clarification on inferior and normal goods", "title": "Inferior goods clarification", "progress_key": "v476379114", "edit_slug": "edit/v/476379114", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More clarification on inferior and normal goods", "extra_properties": null, "node_slug": "v/inferior-goods-clarification", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-03T11:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TAhRoJB34nw.mp4/TAhRoJB34nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TAhRoJB34nw.mp4/TAhRoJB34nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TAhRoJB34nw.m3u8/TAhRoJB34nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TAhRoJB34nw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v476379114", "sha": "e6e4e3331b255457fc989c1652cae46bd925dab9", "translated_description": "More clarification on inferior and normal goods", "image_url": "https://img.youtube.com/vi/TAhRoJB34nw/hqdefault.jpg", "youtube_id": "TAhRoJB34nw", "content_kind": "Video", "readable_id": "inferior-goods-clarification"}], "twitter_url": "", "translated_description": "You've probably heard of supply and demand. Well, this tutorial focuses on the demand part. All else equal, do people want more or less of something if the price goes down (what would you do)? Not only will you get an intuition for the way we typically depict a demand curve, you'll get an understanding for what might shift it.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You've probably heard of supply and demand. Well, this tutorial focuses on the demand part. All else equal, do people want more or less of something if the price goes down (what would you do)? Not only will you get an intuition for the way we typically depict a demand curve, you'll get an understanding for what might shift it.", "x_pos": 0.0, "node_slug": "demand-curve-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axadd5aac6", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial", "slug": "demand-curve-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "b8269f88eca5dee56e242af60adf2bb8e8e30365", "standalone_title": "The demand curve", "y_pos": 0.0, "current_revision_key": "b8269f88eca5dee56e242af60adf2bb8e8e30365", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial", "translated_standalone_title": "The supply curve", "translated_title": "The supply curve", "gplus_url": "", "id": "x395efef9", "old_key_name": "Fa5Cc1SaotrUtqjr9gGtOsvXpmGFbPHwTXUxKurm", "hide": false, "title": "The supply curve", "child_data": [{"kind": "Video", "id": 476379112}, {"kind": "Video", "id": 476379111}, {"kind": "Video", "id": 1266684353}], "children": [{"translated_youtube_id": "3xCzhdVtdMI", "relative_url": "/video/law-of-supply", "has_questions": false, "keywords": "economics, supply, demand", "ka_url": "http://www.khanacademy.org/video/law-of-supply", "duration": 504, "translated_title": "Law of supply", "translated_description_html": "Introduction to the Law of Supply", "id": "476379112", "description_html": "Introduction to the Law of Supply", "title": "Law of supply", "progress_key": "v476379112", "edit_slug": "edit/v/476379112", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Law of Supply", "extra_properties": null, "node_slug": "v/law-of-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-03T11:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3xCzhdVtdMI.mp4/3xCzhdVtdMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3xCzhdVtdMI.mp4/3xCzhdVtdMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3xCzhdVtdMI.m3u8/3xCzhdVtdMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3xCzhdVtdMI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v476379112", "sha": "1ea9f7cbf888ea38a28fb383e4eb3ffa702eabdc", "translated_description": "Introduction to the Law of Supply", "image_url": "https://img.youtube.com/vi/3xCzhdVtdMI/hqdefault.jpg", "youtube_id": "3xCzhdVtdMI", "content_kind": "Video", "readable_id": "law-of-supply"}, {"translated_youtube_id": "0isM0GF-rMI", "relative_url": "/video/factors-affecting-supply", "has_questions": false, "keywords": "economics, supply, demand", "ka_url": "http://www.khanacademy.org/video/factors-affecting-supply", "duration": 418, "translated_title": "Factors affecting supply", "translated_description_html": "How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve", "id": "476379111", "description_html": "How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve", "title": "Factors affecting supply", "progress_key": "v476379111", "edit_slug": "edit/v/476379111", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve", "extra_properties": null, "node_slug": "v/factors-affecting-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-03T11:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0isM0GF-rMI.mp4/0isM0GF-rMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0isM0GF-rMI.mp4/0isM0GF-rMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0isM0GF-rMI.m3u8/0isM0GF-rMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0isM0GF-rMI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v476379111", "sha": "ba36b2e73090987626a99dce204dc78f1bd17962", "translated_description": "How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve", "image_url": "https://img.youtube.com/vi/0isM0GF-rMI/hqdefault.jpg", "youtube_id": "0isM0GF-rMI", "content_kind": "Video", "readable_id": "factors-affecting-supply"}, {"translated_youtube_id": "ahaHgqwt_LA", "relative_url": "/video/long-term-supply-curve-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/long-term-supply-curve-1", "duration": 412, "translated_title": "Long term supply curve", "translated_description_html": "", "id": "1266684353", "description_html": "", "title": "Long term supply curve", "progress_key": "v1266684353", "edit_slug": "edit/v/1266684353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/long-term-supply-curve-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-04T20:40:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ahaHgqwt_LA.mp4/ahaHgqwt_LA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ahaHgqwt_LA.mp4/ahaHgqwt_LA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ahaHgqwt_LA.m3u8/ahaHgqwt_LA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ahaHgqwt_LA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1266684353", "sha": "1dbef3075652ada54fcb560e1fab04a6a5f57e7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/ahaHgqwt_LA/hqdefault.jpg", "youtube_id": "ahaHgqwt_LA", "content_kind": "Video", "readable_id": "long-term-supply-curve-1"}], "twitter_url": "", "translated_description": "Now we'll focus on the \"supply\" part of supply and demand. Supply curves (as we typically depict them) come out of the idea that producers will make more if they get paid more.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Now we'll focus on the \"supply\" part of supply and demand. Supply curves (as we typically depict them) come out of the idea that producers will make more if they get paid more.", "x_pos": 0.0, "node_slug": "supply-curve-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax395efef9", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial", "slug": "supply-curve-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "345125048965b1440a6b55f6fdc17a5fa46468b5", "standalone_title": "The supply curve", "y_pos": 0.0, "current_revision_key": "345125048965b1440a6b55f6fdc17a5fa46468b5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial", "translated_standalone_title": "Market equilibrium", "translated_title": "Market equilibrium", "gplus_url": "", "id": "xca0dbed8", "old_key_name": "g89eeg3eHua8pTGnM66r53D4vDJjsERyepcEKxFz", "hide": false, "title": "Market equilibrium", "child_data": [{"kind": "Video", "id": 476379115}, {"kind": "Video", "id": 476379113}], "children": [{"translated_youtube_id": "PEMkfgrifDw", "relative_url": "/video/market-equilibrium", "has_questions": false, "keywords": "supply, demand, economics", "ka_url": "http://www.khanacademy.org/video/market-equilibrium", "duration": 617, "translated_title": "Market equilibrium", "translated_description_html": "Equilibrium price and quantity for supply and demand", "id": "476379115", "description_html": "Equilibrium price and quantity for supply and demand", "title": "Market equilibrium", "progress_key": "v476379115", "edit_slug": "edit/v/476379115", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equilibrium price and quantity for supply and demand", "extra_properties": null, "node_slug": "v/market-equilibrium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-03T11:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PEMkfgrifDw.mp4/PEMkfgrifDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PEMkfgrifDw.mp4/PEMkfgrifDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PEMkfgrifDw.m3u8/PEMkfgrifDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PEMkfgrifDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v476379115", "sha": "b88d62cb74276f918e3d861a0762a015fb602417", "translated_description": "Equilibrium price and quantity for supply and demand", "image_url": "https://img.youtube.com/vi/PEMkfgrifDw/hqdefault.jpg", "youtube_id": "PEMkfgrifDw", "content_kind": "Video", "readable_id": "market-equilibrium"}, {"translated_youtube_id": "NgPqyM3I_8o", "relative_url": "/video/changes-in-market-equilibrium", "has_questions": false, "keywords": "supply, demand, economics", "ka_url": "http://www.khanacademy.org/video/changes-in-market-equilibrium", "duration": 545, "translated_title": "Changes in market equilibrium", "translated_description_html": "How the equilibrium price or quantity might change due to changes in supply or demand", "id": "476379113", "description_html": "How the equilibrium price or quantity might change due to changes in supply or demand", "title": "Changes in market equilibrium", "progress_key": "v476379113", "edit_slug": "edit/v/476379113", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the equilibrium price or quantity might change due to changes in supply or demand", "extra_properties": null, "node_slug": "v/changes-in-market-equilibrium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-03T11:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NgPqyM3I_8o.mp4/NgPqyM3I_8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NgPqyM3I_8o.mp4/NgPqyM3I_8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NgPqyM3I_8o.m3u8/NgPqyM3I_8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NgPqyM3I_8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v476379113", "sha": "63625091864eb8b3f8ff5929719379413af2e3b9", "translated_description": "How the equilibrium price or quantity might change due to changes in supply or demand", "image_url": "https://img.youtube.com/vi/NgPqyM3I_8o/hqdefault.jpg", "youtube_id": "NgPqyM3I_8o", "content_kind": "Video", "readable_id": "changes-in-market-equilibrium"}], "twitter_url": "", "translated_description": "You understand demand and supply. This tutorial puts it all together by thinking about where the two curves intersect. This point represents the equilibrium price and quantity which is, in an ideal world, where the market would transact.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You understand demand and supply. This tutorial puts it all together by thinking about where the two curves intersect. This point represents the equilibrium price and quantity which is, in an ideal world, where the market would transact.", "x_pos": 0.0, "node_slug": "market-equilibrium-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axca0dbed8", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial", "slug": "market-equilibrium-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "412fccfb614769e6cda478db095d88c99b672658", "standalone_title": "Market equilibrium", "y_pos": 0.0, "current_revision_key": "412fccfb614769e6cda478db095d88c99b672658", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial", "translated_standalone_title": "What drives oil prices", "translated_title": "What drives oil prices", "gplus_url": "", "id": "xc434a8f8", "old_key_name": "V0AE-4TSvRNue6_A3zUUN_EEFKR68R2pVMan6diQ", "hide": false, "title": "What drives oil prices", "child_data": [{"kind": "Video", "id": 679737951}, {"kind": "Video", "id": 679626793}], "children": [{"translated_youtube_id": "1YYy0DEOpoU", "relative_url": "/video/breakdown-of-gas-prices", "has_questions": false, "keywords": "oil, gas, refining, spread, crack", "ka_url": "http://www.khanacademy.org/video/breakdown-of-gas-prices", "duration": 744, "translated_title": "Breakdown of gas prices", "translated_description_html": "Where the dollars at the pump go", "id": "679737951", "description_html": "Where the dollars at the pump go", "title": "Breakdown of gas prices", "progress_key": "v679737951", "edit_slug": "edit/v/679737951", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Where the dollars at the pump go", "extra_properties": null, "node_slug": "v/breakdown-of-gas-prices", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T21:52:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1YYy0DEOpoU.mp4/1YYy0DEOpoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1YYy0DEOpoU.mp4/1YYy0DEOpoU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1YYy0DEOpoU.m3u8/1YYy0DEOpoU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1YYy0DEOpoU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679737951", "sha": "34170d1d2555dd98a1158424ab6d9feac4d9fc2e", "translated_description": "Where the dollars at the pump go", "image_url": "https://img.youtube.com/vi/1YYy0DEOpoU/hqdefault.jpg", "youtube_id": "1YYy0DEOpoU", "content_kind": "Video", "readable_id": "breakdown-of-gas-prices"}, {"translated_youtube_id": "ZxtlcZ-d90o", "relative_url": "/video/short-run-oil-prices", "has_questions": false, "keywords": "oil, gas, prices, microeconomics, macroeconomics", "ka_url": "http://www.khanacademy.org/video/short-run-oil-prices", "duration": 670, "translated_title": "Short-run oil prices", "translated_description_html": "Thinking about what moves oil prices", "id": "679626793", "description_html": "Thinking about what moves oil prices", "title": "Short-run oil prices", "progress_key": "v679626793", "edit_slug": "edit/v/679626793", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Thinking about what moves oil prices", "extra_properties": null, "node_slug": "v/short-run-oil-prices", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T21:58:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZxtlcZ-d90o.mp4/ZxtlcZ-d90o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZxtlcZ-d90o.mp4/ZxtlcZ-d90o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZxtlcZ-d90o.m3u8/ZxtlcZ-d90o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZxtlcZ-d90o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679626793", "sha": "5102695cb69e897ad710ef9b96115288a843b129", "translated_description": "Thinking about what moves oil prices", "image_url": "https://img.youtube.com/vi/ZxtlcZ-d90o/hqdefault.jpg", "youtube_id": "ZxtlcZ-d90o", "content_kind": "Video", "readable_id": "short-run-oil-prices"}], "twitter_url": "", "translated_description": "This tutorial tries to address a very important question in the real world--what drives oil prices? And we will do it using the tools of the supply and demand curves.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial tries to address a very important question in the real world--what drives oil prices? And we will do it using the tools of the supply and demand curves.", "x_pos": 0.0, "node_slug": "oil-prices-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc434a8f8", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial", "slug": "oil-prices-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4b8c376b6ecea738aa827cc803d8f3565ecfeeb1", "standalone_title": "What drives oil prices", "y_pos": 0.0, "current_revision_key": "4b8c376b6ecea738aa827cc803d8f3565ecfeeb1", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The core ideas in microeconomics. Supply, demand and equilibrium.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The core ideas in microeconomics. Supply, demand and equilibrium.", "x_pos": 0.0, "node_slug": "supply-demand-equilibrium", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax65e6dce0", "topic_page_url": "/economics-finance-domain/microeconomics/supply-demand-equilibrium", "extended_slug": "economics-finance-domain/microeconomics/supply-demand-equilibrium", "slug": "supply-demand-equilibrium", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d337745eb6403e793b49736e353f6e8a0f3ac409", "standalone_title": "Supply, demand and market equilibrium", "y_pos": 0.0, "current_revision_key": "d337745eb6403e793b49736e353f6e8a0f3ac409", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/elasticity-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial", "translated_standalone_title": "Elasticity", "translated_title": "Elasticity", "gplus_url": "", "id": "x5ff8038a", "old_key_name": "g_XKqROwkjwHkI2IMyh9UVgDzgcfjQfc2q-Me9f4", "hide": false, "title": "Elasticity", "child_data": [{"kind": "Topic", "id": "x72f1231a"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial", "translated_standalone_title": "Price elasticity", "translated_title": "Price elasticity", "gplus_url": "", "id": "x72f1231a", "old_key_name": "8H8HOI5zl9Yra-ahmiDP7v3qsJRciUn_KSaAYXYG", "hide": false, "title": "Price elasticity", "child_data": [{"kind": "Video", "id": 478016839}, {"kind": "Video", "id": 478016837}, {"kind": "Video", "id": 478016838}, {"kind": "Video", "id": 480683235}, {"kind": "Video", "id": 480690086}, {"kind": "Video", "id": 480687060}, {"kind": "Video", "id": 480687059}, {"kind": "Video", "id": 480687058}, {"kind": "Video", "id": 482853358}], "children": [{"translated_youtube_id": "slP8XZ6Nq40", "relative_url": "/video/price-elasticity-of-demand", "has_questions": false, "keywords": "price, economics, elasticity, demand", "ka_url": "http://www.khanacademy.org/video/price-elasticity-of-demand", "duration": 797, "translated_title": "Price elasticity of demand", "translated_description_html": "

Introduction to price elasticity of demand<\/p>", "id": "478016839", "description_html": "

Introduction to price elasticity of demand<\/p>", "title": "Price elasticity of demand", "progress_key": "v478016839", "edit_slug": "edit/v/478016839", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to price elasticity of demand", "extra_properties": {}, "node_slug": "v/price-elasticity-of-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-04T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/slP8XZ6Nq40.mp4/slP8XZ6Nq40.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/slP8XZ6Nq40.mp4/slP8XZ6Nq40.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/slP8XZ6Nq40.m3u8/slP8XZ6Nq40.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=slP8XZ6Nq40&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v478016839", "sha": "fbccb026cecd092abac7624ad9cfb21133f6553f", "translated_description": "Introduction to price elasticity of demand", "image_url": "https://img.youtube.com/vi/slP8XZ6Nq40/hqdefault.jpg", "youtube_id": "slP8XZ6Nq40", "content_kind": "Video", "readable_id": "price-elasticity-of-demand"}, {"translated_youtube_id": "YOT8ryWzwbY", "relative_url": "/video/more-on-elasticity-of-demand", "has_questions": false, "keywords": "economics, elasticity, demand", "ka_url": "http://www.khanacademy.org/video/more-on-elasticity-of-demand", "duration": 361, "translated_title": "More on elasticity of demand", "translated_description_html": "Looking a bit deeper at why elasticity changes despite having a linear demand curve", "id": "478016837", "description_html": "Looking a bit deeper at why elasticity changes despite having a linear demand curve", "title": "More on elasticity of demand", "progress_key": "v478016837", "edit_slug": "edit/v/478016837", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking a bit deeper at why elasticity changes despite having a linear demand curve", "extra_properties": null, "node_slug": "v/more-on-elasticity-of-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-04T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YOT8ryWzwbY.mp4/YOT8ryWzwbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YOT8ryWzwbY.mp4/YOT8ryWzwbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YOT8ryWzwbY.m3u8/YOT8ryWzwbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YOT8ryWzwbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v478016837", "sha": "614b7f26e3361d769d207679c2475d1b804ab418", "translated_description": "Looking a bit deeper at why elasticity changes despite having a linear demand curve", "image_url": "https://img.youtube.com/vi/YOT8ryWzwbY/hqdefault.jpg", "youtube_id": "YOT8ryWzwbY", "content_kind": "Video", "readable_id": "more-on-elasticity-of-demand"}, {"translated_youtube_id": "6udRtn5jSWk", "relative_url": "/video/perfect-inelasticity-and-perfect-elasticity-of-demand", "has_questions": false, "keywords": "elasticity, economics", "ka_url": "http://www.khanacademy.org/video/perfect-inelasticity-and-perfect-elasticity-of-demand", "duration": 581, "translated_title": "Perfect inelasticity and perfect elasticity of demand", "translated_description_html": "Extreme examples of price elasticity of demand", "id": "478016838", "description_html": "Extreme examples of price elasticity of demand", "title": "Perfect inelasticity and perfect elasticity of demand", "progress_key": "v478016838", "edit_slug": "edit/v/478016838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Extreme examples of price elasticity of demand", "extra_properties": null, "node_slug": "v/perfect-inelasticity-and-perfect-elasticity-of-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-04T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6udRtn5jSWk.mp4/6udRtn5jSWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6udRtn5jSWk.mp4/6udRtn5jSWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6udRtn5jSWk.m3u8/6udRtn5jSWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6udRtn5jSWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v478016838", "sha": "a0c62a219ab477a1c82316725126a2df9cb92d40", "translated_description": "Extreme examples of price elasticity of demand", "image_url": "https://img.youtube.com/vi/6udRtn5jSWk/hqdefault.jpg", "youtube_id": "6udRtn5jSWk", "content_kind": "Video", "readable_id": "perfect-inelasticity-and-perfect-elasticity-of-demand"}, {"translated_youtube_id": "m7qXvQvWlY4", "relative_url": "/video/constant-unit-elasticity", "has_questions": false, "keywords": "elasticity, demand", "ka_url": "http://www.khanacademy.org/video/constant-unit-elasticity", "duration": 277, "translated_title": "Constant unit elasticity", "translated_description_html": "What a demand curve with constant unit elasticity would look like", "id": "480683235", "description_html": "What a demand curve with constant unit elasticity would look like", "title": "Constant unit elasticity", "progress_key": "v480683235", "edit_slug": "edit/v/480683235", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What a demand curve with constant unit elasticity would look like", "extra_properties": null, "node_slug": "v/constant-unit-elasticity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-05T11:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m7qXvQvWlY4.mp4/m7qXvQvWlY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m7qXvQvWlY4.mp4/m7qXvQvWlY4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m7qXvQvWlY4.m3u8/m7qXvQvWlY4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m7qXvQvWlY4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v480683235", "sha": "16657e873aa2176a55f55681154ac5589033bcb2", "translated_description": "What a demand curve with constant unit elasticity would look like", "image_url": "https://img.youtube.com/vi/m7qXvQvWlY4/hqdefault.jpg", "youtube_id": "m7qXvQvWlY4", "content_kind": "Video", "readable_id": "constant-unit-elasticity"}, {"translated_youtube_id": "Udltkvm9HLc", "relative_url": "/video/total-revenue-and-elasticity", "has_questions": false, "keywords": "economics, total, revenue", "ka_url": "http://www.khanacademy.org/video/total-revenue-and-elasticity", "duration": 701, "translated_title": "Total revenue and elasticity", "translated_description_html": "Thinking about how total revenue and elasticity are related", "id": "480690086", "description_html": "Thinking about how total revenue and elasticity are related", "title": "Total revenue and elasticity", "progress_key": "v480690086", "edit_slug": "edit/v/480690086", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how total revenue and elasticity are related", "extra_properties": null, "node_slug": "v/total-revenue-and-elasticity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-05T11:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Udltkvm9HLc.mp4/Udltkvm9HLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Udltkvm9HLc.mp4/Udltkvm9HLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Udltkvm9HLc.m3u8/Udltkvm9HLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Udltkvm9HLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v480690086", "sha": "c1d0032f8f67b273730f4118dba0b8d02bae4ff5", "translated_description": "Thinking about how total revenue and elasticity are related", "image_url": "https://img.youtube.com/vi/Udltkvm9HLc/hqdefault.jpg", "youtube_id": "Udltkvm9HLc", "content_kind": "Video", "readable_id": "total-revenue-and-elasticity"}, {"translated_youtube_id": "KgrLUQYgIJE", "relative_url": "/video/more-on-total-revenue-and-elasticity", "has_questions": false, "keywords": "microeconomics, elasticity", "ka_url": "http://www.khanacademy.org/video/more-on-total-revenue-and-elasticity", "duration": 505, "translated_title": "More on total revenue and elasticity", "translated_description_html": "Clarification on the relationship between total revenue and elasticity", "id": "480687060", "description_html": "Clarification on the relationship between total revenue and elasticity", "title": "More on total revenue and elasticity", "progress_key": "v480687060", "edit_slug": "edit/v/480687060", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Clarification on the relationship between total revenue and elasticity", "extra_properties": null, "node_slug": "v/more-on-total-revenue-and-elasticity", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-01-05T11:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KgrLUQYgIJE.mp4/KgrLUQYgIJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KgrLUQYgIJE.mp4/KgrLUQYgIJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KgrLUQYgIJE.m3u8/KgrLUQYgIJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KgrLUQYgIJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v480687060", "sha": "73af00e8dae0b6f39e8935ea1089658a84c24cae", "translated_description": "Clarification on the relationship between total revenue and elasticity", "image_url": "https://img.youtube.com/vi/KgrLUQYgIJE/hqdefault.jpg", "youtube_id": "KgrLUQYgIJE", "content_kind": "Video", "readable_id": "more-on-total-revenue-and-elasticity"}, {"translated_youtube_id": "Ngv0Be9NxAw", "relative_url": "/video/cross-elasticity-of-demand", "has_questions": false, "keywords": "cross, elasticity, economics", "ka_url": "http://www.khanacademy.org/video/cross-elasticity-of-demand", "duration": 680, "translated_title": "Cross elasticity of demand", "translated_description_html": "

Price of one good impacting quantity demanded of another<\/p>", "id": "480687059", "description_html": "

Price of one good impacting quantity demanded of another<\/p>", "title": "Cross elasticity of demand", "progress_key": "v480687059", "edit_slug": "edit/v/480687059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Price of one good impacting quantity demanded of another", "extra_properties": {}, "node_slug": "v/cross-elasticity-of-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-05T11:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ngv0Be9NxAw.mp4/Ngv0Be9NxAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ngv0Be9NxAw.mp4/Ngv0Be9NxAw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ngv0Be9NxAw.m3u8/Ngv0Be9NxAw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ngv0Be9NxAw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v480687059", "sha": "aea79a7c9e956ac5bb4485ec3b98e71b1cb5432e", "translated_description": "Price of one good impacting quantity demanded of another", "image_url": "https://img.youtube.com/vi/Ngv0Be9NxAw/hqdefault.jpg", "youtube_id": "Ngv0Be9NxAw", "content_kind": "Video", "readable_id": "cross-elasticity-of-demand"}, {"translated_youtube_id": "AAWsuFXojgo", "relative_url": "/video/elasticity-of-supply", "has_questions": false, "keywords": "economics, elasticity", "ka_url": "http://www.khanacademy.org/video/elasticity-of-supply", "duration": 573, "translated_title": "Elasticity of supply", "translated_description_html": "Thinking about elasticity of supply", "id": "480687058", "description_html": "Thinking about elasticity of supply", "title": "Elasticity of supply", "progress_key": "v480687058", "edit_slug": "edit/v/480687058", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about elasticity of supply", "extra_properties": null, "node_slug": "v/elasticity-of-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-05T11:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AAWsuFXojgo.mp4/AAWsuFXojgo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AAWsuFXojgo.mp4/AAWsuFXojgo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AAWsuFXojgo.m3u8/AAWsuFXojgo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AAWsuFXojgo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v480687058", "sha": "4a5cb54e21f7e2445fefa57a955cb6ee2697f623", "translated_description": "Thinking about elasticity of supply", "image_url": "https://img.youtube.com/vi/AAWsuFXojgo/hqdefault.jpg", "youtube_id": "AAWsuFXojgo", "content_kind": "Video", "readable_id": "elasticity-of-supply"}, {"translated_youtube_id": "fUxSB3yYIbs", "relative_url": "/video/elasticity-and-strange-percent-changes", "has_questions": false, "keywords": "economics, supply, demand", "ka_url": "http://www.khanacademy.org/video/elasticity-and-strange-percent-changes", "duration": 414, "translated_title": "Elasticity and strange percent changes", "translated_description_html": "Why we calculate percent changes in a strange way when calculating elasticities", "id": "482853358", "description_html": "Why we calculate percent changes in a strange way when calculating elasticities", "title": "Elasticity and strange percent changes", "progress_key": "v482853358", "edit_slug": "edit/v/482853358", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why we calculate percent changes in a strange way when calculating elasticities", "extra_properties": null, "node_slug": "v/elasticity-and-strange-percent-changes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-06T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.mp4/fUxSB3yYIbs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.mp4/fUxSB3yYIbs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.m3u8/fUxSB3yYIbs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fUxSB3yYIbs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v482853358", "sha": "3c4bbb4d28477840429480f307ff6d1fd59c6426", "translated_description": "Why we calculate percent changes in a strange way when calculating elasticities", "image_url": "https://img.youtube.com/vi/fUxSB3yYIbs/hqdefault.jpg", "youtube_id": "fUxSB3yYIbs", "content_kind": "Video", "readable_id": "elasticity-and-strange-percent-changes"}], "twitter_url": "", "translated_description": "You're familiar with supply and demand curves already. In this tutorial we'll explore what implications their steepness (or lack of) implies. Price elasticity is a measure of how sensitive something is to price.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You're familiar with supply and demand curves already. In this tutorial we'll explore what implications their steepness (or lack of) implies. Price elasticity is a measure of how sensitive something is to price.", "x_pos": 0.0, "node_slug": "price-elasticity-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax72f1231a", "topic_page_url": "/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial", "extended_slug": "economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial", "slug": "price-elasticity-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "79e7ba7d4d0169f200053b6e725724379f18adb4", "standalone_title": "Price elasticity", "y_pos": 0.0, "current_revision_key": "79e7ba7d4d0169f200053b6e725724379f18adb4", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Price elasticity of demand and supply. How sensitive are things to change in price.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Price elasticity of demand and supply. How sensitive are things to change in price.", "x_pos": 0.0, "node_slug": "elasticity-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ff8038a", "topic_page_url": "/economics-finance-domain/microeconomics/elasticity-tutorial", "extended_slug": "economics-finance-domain/microeconomics/elasticity-tutorial", "slug": "elasticity-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "24ae62ce7f570490fb7a50bfdb3748b0e4f327fb", "standalone_title": "Elasticity", "y_pos": 0.0, "current_revision_key": "24ae62ce7f570490fb7a50bfdb3748b0e4f327fb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus", "translated_standalone_title": "Consumer and producer surplus", "translated_title": "Consumer and producer surplus", "gplus_url": "", "id": "x9446d66b", "old_key_name": "kqbyfd3NIwQ4p7UUM2mRqGrr_aP2ZeN6AbZEy3Im", "hide": false, "title": "Consumer and producer surplus", "child_data": [{"kind": "Topic", "id": "x4cd4645a"}, {"kind": "Topic", "id": "x1ea2b9b7"}, {"kind": "Topic", "id": "xb4ee7a24"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut", "translated_standalone_title": "Consumer and producer surplus", "translated_title": "Consumer and producer surplus", "gplus_url": "", "id": "x4cd4645a", "old_key_name": "VAgcoxNcFMZN382srreQY3YlgviImdKsDnPdzSG7", "hide": false, "title": "Consumer and producer surplus", "child_data": [{"kind": "Video", "id": 482857607}, {"kind": "Video", "id": 482869244}, {"kind": "Video", "id": 491075659}, {"kind": "Video", "id": 491082769}], "children": [{"translated_youtube_id": "KrkbbRxdDZ8", "relative_url": "/video/demand-curve-as-marginal-benefit-curve", "has_questions": false, "keywords": "economics, micro, supply, demand", "ka_url": "http://www.khanacademy.org/video/demand-curve-as-marginal-benefit-curve", "duration": 353, "translated_title": "Demand curve as marginal benefit curve", "translated_description_html": "Thinking about a demand curve in terms of quantity driving price", "id": "482857607", "description_html": "Thinking about a demand curve in terms of quantity driving price", "title": "Demand curve as marginal benefit curve", "progress_key": "v482857607", "edit_slug": "edit/v/482857607", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about a demand curve in terms of quantity driving price", "extra_properties": null, "node_slug": "v/demand-curve-as-marginal-benefit-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-06T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KrkbbRxdDZ8.mp4/KrkbbRxdDZ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KrkbbRxdDZ8.mp4/KrkbbRxdDZ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KrkbbRxdDZ8.m3u8/KrkbbRxdDZ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KrkbbRxdDZ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v482857607", "sha": "d200a73e8cc20d1bfd9884e4891724fcbb86489d", "translated_description": "Thinking about a demand curve in terms of quantity driving price", "image_url": "https://img.youtube.com/vi/KrkbbRxdDZ8/hqdefault.jpg", "youtube_id": "KrkbbRxdDZ8", "content_kind": "Video", "readable_id": "demand-curve-as-marginal-benefit-curve"}, {"translated_youtube_id": "_6kwhF6hoqQ", "relative_url": "/video/consumer-surplus-introduction", "has_questions": false, "keywords": "consumer, surplus, marginal, benefit", "ka_url": "http://www.khanacademy.org/video/consumer-surplus-introduction", "duration": 302, "translated_title": "Consumer surplus introduction", "translated_description_html": "Consumer surplus as difference between marginal benefit and price paid", "id": "482869244", "description_html": "Consumer surplus as difference between marginal benefit and price paid", "title": "Consumer surplus introduction", "progress_key": "v482869244", "edit_slug": "edit/v/482869244", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Consumer surplus as difference between marginal benefit and price paid", "extra_properties": null, "node_slug": "v/consumer-surplus-introduction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-01-06T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_6kwhF6hoqQ.mp4/_6kwhF6hoqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_6kwhF6hoqQ.mp4/_6kwhF6hoqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_6kwhF6hoqQ.m3u8/_6kwhF6hoqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_6kwhF6hoqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v482869244", "sha": "a5b9681d9c5290fdff67e8ac172cff848fd0d0e5", "translated_description": "Consumer surplus as difference between marginal benefit and price paid", "image_url": "https://img.youtube.com/vi/_6kwhF6hoqQ/hqdefault.jpg", "youtube_id": "_6kwhF6hoqQ", "content_kind": "Video", "readable_id": "consumer-surplus-introduction"}, {"translated_youtube_id": "RBUBIRtn0xQ", "relative_url": "/video/total-consumer-surplus-as-area", "has_questions": false, "keywords": "economics, supply, surplus, consumer", "ka_url": "http://www.khanacademy.org/video/total-consumer-surplus-as-area", "duration": 346, "translated_title": "Total consumer surplus as area", "translated_description_html": "Looking at consumer surplus as area between the demand curve and the market price", "id": "491075659", "description_html": "Looking at consumer surplus as area between the demand curve and the market price", "title": "Total consumer surplus as area", "progress_key": "v491075659", "edit_slug": "edit/v/491075659", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking at consumer surplus as area between the demand curve and the market price", "extra_properties": null, "node_slug": "v/total-consumer-surplus-as-area", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-10T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RBUBIRtn0xQ.mp4/RBUBIRtn0xQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RBUBIRtn0xQ.mp4/RBUBIRtn0xQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RBUBIRtn0xQ.m3u8/RBUBIRtn0xQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RBUBIRtn0xQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v491075659", "sha": "7081e8efd3009f72df40f31820578ff03cc07fec", "translated_description": "Looking at consumer surplus as area between the demand curve and the market price", "image_url": "https://img.youtube.com/vi/RBUBIRtn0xQ/hqdefault.jpg", "youtube_id": "RBUBIRtn0xQ", "content_kind": "Video", "readable_id": "total-consumer-surplus-as-area"}, {"translated_youtube_id": "-V-Y5klejSg", "relative_url": "/video/producer-surplus", "has_questions": false, "keywords": "microeconomics, producer, surplus, consumer, market, opportunity, cost", "ka_url": "http://www.khanacademy.org/video/producer-surplus", "duration": 500, "translated_title": "Producer surplus", "translated_description_html": "Looking at the supply curve as an opportunity cost curve. Understanding the producer surplus as the area between the supply curve and the market price", "id": "491082769", "description_html": "Looking at the supply curve as an opportunity cost curve. Understanding the producer surplus as the area between the supply curve and the market price", "title": "Producer surplus", "progress_key": "v491082769", "edit_slug": "edit/v/491082769", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking at the supply curve as an opportunity cost curve. Understanding the producer surplus as the area between the supply curve and the market price", "extra_properties": null, "node_slug": "v/producer-surplus", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-10T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-V-Y5klejSg.mp4/-V-Y5klejSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-V-Y5klejSg.mp4/-V-Y5klejSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-V-Y5klejSg.m3u8/-V-Y5klejSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-V-Y5klejSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v491082769", "sha": "0ad204c809ddfc5d418d4720a1233628de44136d", "translated_description": "Looking at the supply curve as an opportunity cost curve. Understanding the producer surplus as the area between the supply curve and the market price", "image_url": "https://img.youtube.com/vi/-V-Y5klejSg/hqdefault.jpg", "youtube_id": "-V-Y5klejSg", "content_kind": "Video", "readable_id": "producer-surplus"}], "twitter_url": "", "translated_description": "Many times, the equilibrium price is lower than the highest price some folks are willing to pay. For all consumers, this is called consumer surplus. Similarly, the price might be higher than the minimum price at which some are willing to produce. For all the producers, this is called producer surplus. This tutorial covers them both with an emphasis on the visual.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Many times, the equilibrium price is lower than the highest price some folks are willing to pay. For all consumers, this is called consumer surplus. Similarly, the price might be higher than the minimum price at which some are willing to produce. For all the producers, this is called producer surplus. This tutorial covers them both with an emphasis on the visual.", "x_pos": 0.0, "node_slug": "consumer-producer-surplus-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4cd4645a", "topic_page_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut", "extended_slug": "economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut", "slug": "consumer-producer-surplus-tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f3ca8e8789e432dd452e56d06373bee9cc57dc45", "standalone_title": "Consumer and producer surplus", "y_pos": 0.0, "current_revision_key": "f3ca8e8789e432dd452e56d06373bee9cc57dc45", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial", "translated_standalone_title": "Deadweight loss", "translated_title": "Deadweight loss", "gplus_url": "", "id": "x1ea2b9b7", "old_key_name": "O8XRlawyciuQrheRg8ufhpOZ2-EkdKBqzLi6MToT", "hide": false, "title": "Deadweight loss", "child_data": [{"kind": "Video", "id": "xf9b67f8e"}, {"kind": "Video", "id": 493579772}, {"kind": "Video", "id": 498143705}, {"kind": "Video", "id": 498087754}, {"kind": "Video", "id": 499815367}, {"kind": "Video", "id": 499850170}], "children": [{"translated_youtube_id": "8U8egQjcPaI", "relative_url": "/video/rent-control-dead-weight-cost", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/rent-control-dead-weight-cost", "duration": 672, "translated_title": "Rent control and deadweight loss", "translated_description_html": "", "id": "xf9b67f8e", "description_html": "", "title": "Rent control and deadweight loss", "progress_key": "vxf9b67f8e", "edit_slug": "edit/v/xf9b67f8e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/rent-control-dead-weight-cost", "deleted": false, "backup_timestamp": "2013-11-20T20:35:53Z", "date_added": "2013-11-20T20:35:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8U8egQjcPaI.mp4/8U8egQjcPaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8U8egQjcPaI.mp4/8U8egQjcPaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8U8egQjcPaI.m3u8/8U8egQjcPaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8U8egQjcPaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf9b67f8e", "sha": "01b4019eb8c9d6bc96c1d65536d64f84ee810316", "translated_description": "", "image_url": "https://img.youtube.com/vi/8U8egQjcPaI/hqdefault.jpg", "youtube_id": "8U8egQjcPaI", "content_kind": "Video", "readable_id": "rent-control-dead-weight-cost"}, {"translated_youtube_id": "j0c2vmFGbtk", "relative_url": "/video/minimum-wage-and-price-floors", "has_questions": false, "keywords": "economics, surplus, dead, weight, loss", "ka_url": "http://www.khanacademy.org/video/minimum-wage-and-price-floors", "duration": 546, "translated_title": "Minimum wage and price floors", "translated_description_html": "How a minimum wage might effect the labor market", "id": "493579772", "description_html": "How a minimum wage might effect the labor market", "title": "Minimum wage and price floors", "progress_key": "v493579772", "edit_slug": "edit/v/493579772", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How a minimum wage might effect the labor market", "extra_properties": null, "node_slug": "v/minimum-wage-and-price-floors", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-11T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j0c2vmFGbtk.mp4/j0c2vmFGbtk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j0c2vmFGbtk.mp4/j0c2vmFGbtk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j0c2vmFGbtk.m3u8/j0c2vmFGbtk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j0c2vmFGbtk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v493579772", "sha": "06ef4ee1014093c42413975b85e2c3e49dbbcda9", "translated_description": "How a minimum wage might effect the labor market", "image_url": "https://img.youtube.com/vi/j0c2vmFGbtk/hqdefault.jpg", "youtube_id": "j0c2vmFGbtk", "content_kind": "Video", "readable_id": "minimum-wage-and-price-floors"}, {"translated_youtube_id": "NuLlNAdrom4", "relative_url": "/video/taxation-and-dead-weight-loss", "has_questions": false, "keywords": "microeconomics, supply, demand", "ka_url": "http://www.khanacademy.org/video/taxation-and-dead-weight-loss", "duration": 546, "translated_title": "Taxation and dead weight loss", "translated_description_html": "The effect of taxation on the equilibrium price and quantity", "id": "498143705", "description_html": "The effect of taxation on the equilibrium price and quantity", "title": "Taxation and dead weight loss", "progress_key": "v498143705", "edit_slug": "edit/v/498143705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The effect of taxation on the equilibrium price and quantity", "extra_properties": null, "node_slug": "v/taxation-and-dead-weight-loss", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-13T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NuLlNAdrom4.mp4/NuLlNAdrom4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NuLlNAdrom4.mp4/NuLlNAdrom4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NuLlNAdrom4.m3u8/NuLlNAdrom4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NuLlNAdrom4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v498143705", "sha": "313884c3ea062d03a9a557ba0a3430b6845e6b72", "translated_description": "The effect of taxation on the equilibrium price and quantity", "image_url": "https://img.youtube.com/vi/NuLlNAdrom4/hqdefault.jpg", "youtube_id": "NuLlNAdrom4", "content_kind": "Video", "readable_id": "taxation-and-dead-weight-loss"}, {"translated_youtube_id": "xwOTlMaerEQ", "relative_url": "/video/percentage-tax-on-hamburgers", "has_questions": false, "keywords": "tax, microeconomics, supply, demand", "ka_url": "http://www.khanacademy.org/video/percentage-tax-on-hamburgers", "duration": 340, "translated_title": "Percentage tax on hamburgers", "translated_description_html": "What would happen if we have a percentage tax instead of a fixed dollar amount", "id": "498087754", "description_html": "What would happen if we have a percentage tax instead of a fixed dollar amount", "title": "Percentage tax on hamburgers", "progress_key": "v498087754", "edit_slug": "edit/v/498087754", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What would happen if we have a percentage tax instead of a fixed dollar amount", "extra_properties": null, "node_slug": "v/percentage-tax-on-hamburgers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-13T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xwOTlMaerEQ.mp4/xwOTlMaerEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xwOTlMaerEQ.mp4/xwOTlMaerEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xwOTlMaerEQ.m3u8/xwOTlMaerEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xwOTlMaerEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v498087754", "sha": "94be5c445f5ef4f7021d38d9d39f7c1c590898b8", "translated_description": "What would happen if we have a percentage tax instead of a fixed dollar amount", "image_url": "https://img.youtube.com/vi/xwOTlMaerEQ/hqdefault.jpg", "youtube_id": "xwOTlMaerEQ", "content_kind": "Video", "readable_id": "percentage-tax-on-hamburgers"}, {"translated_youtube_id": "lsn16U5DWD4", "relative_url": "/video/taxes-and-perfectly-inelastic-demand", "has_questions": false, "keywords": "microeconomics, elasticity, surplus", "ka_url": "http://www.khanacademy.org/video/taxes-and-perfectly-inelastic-demand", "duration": 471, "translated_title": "Taxes and perfectly inelastic demand", "translated_description_html": "Who bears the burden for the taxes when demand is inelastic", "id": "499815367", "description_html": "Who bears the burden for the taxes when demand is inelastic", "title": "Taxes and perfectly inelastic demand", "progress_key": "v499815367", "edit_slug": "edit/v/499815367", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Who bears the burden for the taxes when demand is inelastic", "extra_properties": null, "node_slug": "v/taxes-and-perfectly-inelastic-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-14T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lsn16U5DWD4.mp4/lsn16U5DWD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lsn16U5DWD4.mp4/lsn16U5DWD4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lsn16U5DWD4.m3u8/lsn16U5DWD4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lsn16U5DWD4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v499815367", "sha": "dabb19e381d7c87cdc40b4917e3caaea8cab188e", "translated_description": "Who bears the burden for the taxes when demand is inelastic", "image_url": "https://img.youtube.com/vi/lsn16U5DWD4/hqdefault.jpg", "youtube_id": "lsn16U5DWD4", "content_kind": "Video", "readable_id": "taxes-and-perfectly-inelastic-demand"}, {"translated_youtube_id": "z1yJPpGC3-o", "relative_url": "/video/taxes-and-perfectly-elastic-demand", "has_questions": false, "keywords": "microeconomics, elasticity, deadweight, loss, supply, demand", "ka_url": "http://www.khanacademy.org/video/taxes-and-perfectly-elastic-demand", "duration": 412, "translated_title": "Taxes and perfectly elastic demand", "translated_description_html": "Who bears the burden for a tax on a good with perfectly elastic demand", "id": "499850170", "description_html": "Who bears the burden for a tax on a good with perfectly elastic demand", "title": "Taxes and perfectly elastic demand", "progress_key": "v499850170", "edit_slug": "edit/v/499850170", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Who bears the burden for a tax on a good with perfectly elastic demand", "extra_properties": null, "node_slug": "v/taxes-and-perfectly-elastic-demand", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-01-14T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1yJPpGC3-o.mp4/z1yJPpGC3-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1yJPpGC3-o.mp4/z1yJPpGC3-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z1yJPpGC3-o.m3u8/z1yJPpGC3-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z1yJPpGC3-o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v499850170", "sha": "b4a713e57dc5571b0074c10cbb29d4d0c9fdb93b", "translated_description": "Who bears the burden for a tax on a good with perfectly elastic demand", "image_url": "https://img.youtube.com/vi/z1yJPpGC3-o/hqdefault.jpg", "youtube_id": "z1yJPpGC3-o", "content_kind": "Video", "readable_id": "taxes-and-perfectly-elastic-demand"}], "twitter_url": "", "translated_description": "We can often lose economic efficiency because of things like price floors, ceilings and taxes. This loss in surplus (people who have more marginal benefit than marginal cost are not buying or people who have more marginal cost than benefit are buying) is called deadweight loss.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We can often lose economic efficiency because of things like price floors, ceilings and taxes. This loss in surplus (people who have more marginal benefit than marginal cost are not buying or people who have more marginal cost than benefit are buying) is called deadweight loss.", "x_pos": 0.0, "node_slug": "deadweight-loss-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1ea2b9b7", "topic_page_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial", "extended_slug": "economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial", "slug": "deadweight-loss-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3a8004c98106b108d5cb34c3af964c0034e075af", "standalone_title": "Deadweight loss", "y_pos": 0.0, "current_revision_key": "3a8004c98106b108d5cb34c3af964c0034e075af", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic", "translated_standalone_title": "Public goods and externalities", "translated_title": "Public goods and externalities", "gplus_url": "", "id": "xb4ee7a24", "old_key_name": "RjG8ChkBTY3cSLquuLh8rYOEyYHErVpF6MSKVWtC", "hide": false, "title": "Public goods and externalities", "child_data": [{"kind": "Video", "id": 541028298}, {"kind": "Video", "id": 541028300}, {"kind": "Video", "id": 541022388}, {"kind": "Video", "id": 541028296}], "children": [{"translated_youtube_id": "nBw6KvU51BE", "relative_url": "/video/negative-externalities", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/negative-externalities", "duration": 360, "translated_title": "Negative externalities", "translated_description_html": "Taking negative externalities into account when thinking about the optimal equilibrium price and quantity", "id": "541028298", "description_html": "Taking negative externalities into account when thinking about the optimal equilibrium price and quantity", "title": "Negative externalities", "progress_key": "v541028298", "edit_slug": "edit/v/541028298", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Taking negative externalities into account when thinking about the optimal equilibrium price and quantity", "extra_properties": null, "node_slug": "v/negative-externalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nBw6KvU51BE.mp4/nBw6KvU51BE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nBw6KvU51BE.mp4/nBw6KvU51BE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nBw6KvU51BE.m3u8/nBw6KvU51BE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nBw6KvU51BE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028298", "sha": "2f80e0388a2915733abbf862554be39d6fd907d8", "translated_description": "Taking negative externalities into account when thinking about the optimal equilibrium price and quantity", "image_url": "https://img.youtube.com/vi/nBw6KvU51BE/hqdefault.jpg", "youtube_id": "nBw6KvU51BE", "content_kind": "Video", "readable_id": "negative-externalities"}, {"translated_youtube_id": "UYShebe44Xs", "relative_url": "/video/taxes-for-factoring-in-negative-externalities", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/taxes-for-factoring-in-negative-externalities", "duration": 345, "translated_title": "Taxes for factoring in negative externalities", "translated_description_html": "How to factor in negative externalities through taxation", "id": "541028300", "description_html": "How to factor in negative externalities through taxation", "title": "Taxes for factoring in negative externalities", "progress_key": "v541028300", "edit_slug": "edit/v/541028300", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to factor in negative externalities through taxation", "extra_properties": null, "node_slug": "v/taxes-for-factoring-in-negative-externalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UYShebe44Xs.mp4/UYShebe44Xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UYShebe44Xs.mp4/UYShebe44Xs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UYShebe44Xs.m3u8/UYShebe44Xs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UYShebe44Xs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028300", "sha": "3f335f1063c2e7ab6805f6db24a68f668bc3782e", "translated_description": "How to factor in negative externalities through taxation", "image_url": "https://img.youtube.com/vi/UYShebe44Xs/hqdefault.jpg", "youtube_id": "UYShebe44Xs", "content_kind": "Video", "readable_id": "taxes-for-factoring-in-negative-externalities"}, {"translated_youtube_id": "TSTLLFJbaA4", "relative_url": "/video/positive-externalities", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/positive-externalities", "duration": 445, "translated_title": "Positive externalities", "translated_description_html": "Factoring in external benefits", "id": "541022388", "description_html": "Factoring in external benefits", "title": "Positive externalities", "progress_key": "v541022388", "edit_slug": "edit/v/541022388", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring in external benefits", "extra_properties": null, "node_slug": "v/positive-externalities", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TSTLLFJbaA4.mp4/TSTLLFJbaA4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TSTLLFJbaA4.mp4/TSTLLFJbaA4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TSTLLFJbaA4.m3u8/TSTLLFJbaA4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TSTLLFJbaA4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541022388", "sha": "0ebb6b140ad8acef99b4c25af34ae39d72aa2902", "translated_description": "Factoring in external benefits", "image_url": "https://img.youtube.com/vi/TSTLLFJbaA4/hqdefault.jpg", "youtube_id": "TSTLLFJbaA4", "content_kind": "Video", "readable_id": "positive-externalities"}, {"translated_youtube_id": "0b2Tl0x-niw", "relative_url": "/video/tragedy-of-the-commons", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/tragedy-of-the-commons", "duration": 398, "translated_title": "Tragedy of the commons", "translated_description_html": "How public resources can be abused", "id": "541028296", "description_html": "How public resources can be abused", "title": "Tragedy of the commons", "progress_key": "v541028296", "edit_slug": "edit/v/541028296", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How public resources can be abused", "extra_properties": null, "node_slug": "v/tragedy-of-the-commons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0b2Tl0x-niw.mp4/0b2Tl0x-niw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0b2Tl0x-niw.mp4/0b2Tl0x-niw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0b2Tl0x-niw.m3u8/0b2Tl0x-niw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0b2Tl0x-niw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028296", "sha": "f6df9ebaaac7e16f92e8467259bf3bce80655515", "translated_description": "How public resources can be abused", "image_url": "https://img.youtube.com/vi/0b2Tl0x-niw/hqdefault.jpg", "youtube_id": "0b2Tl0x-niw", "content_kind": "Video", "readable_id": "tragedy-of-the-commons"}], "twitter_url": "", "translated_description": "In many scenarios thinking only about producers' marginal cost or consumers' marginal benefit does not fully capture *all* of the costs or benefits from the production/use of a product. In this tutorial, we explore these externalities (negative and positive ones) to think a bit deeper about ways to maximize total surplus not just for producers and consumers, but for society as a whole.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In many scenarios thinking only about producers' marginal cost or consumers' marginal benefit does not fully capture *all* of the costs or benefits from the production/use of a product. In this tutorial, we explore these externalities (negative and positive ones) to think a bit deeper about ways to maximize total surplus not just for producers and consumers, but for society as a whole.", "x_pos": 0.0, "node_slug": "externalities-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb4ee7a24", "topic_page_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic", "extended_slug": "economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic", "slug": "externalities-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4f92319b6ceddc201bb0889d4ac9b47e797d9a27", "standalone_title": "Public goods and externalities", "y_pos": 0.0, "current_revision_key": "4f92319b6ceddc201bb0889d4ac9b47e797d9a27", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "consumer-producer-surplus", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9446d66b", "topic_page_url": "/economics-finance-domain/microeconomics/consumer-producer-surplus", "extended_slug": "economics-finance-domain/microeconomics/consumer-producer-surplus", "slug": "consumer-producer-surplus", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "50863b4408de988bd6ffddc163b88d6532eda588", "standalone_title": "Consumer and producer surplus", "y_pos": 0.0, "current_revision_key": "50863b4408de988bd6ffddc163b88d6532eda588", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial", "translated_standalone_title": "Choices, opportunity cost and happiness", "translated_title": "Scarcity, possibilities, preferences and opportunity cost", "gplus_url": "", "id": "x7d52cd8b", "old_key_name": "H8spZbq5-p-UIKZgtEcAdzjMY1AzubwB0b4ElU0O", "hide": false, "title": "Scarcity, possibilities, preferences and opportunity cost", "child_data": [{"kind": "Topic", "id": "xc0e82588"}, {"kind": "Topic", "id": "x5c32e1de"}, {"kind": "Topic", "id": "xb24195de"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities", "translated_standalone_title": "Production possibilities frontier", "translated_title": "Production possibilities frontier", "gplus_url": "", "id": "xc0e82588", "old_key_name": "gs-ZTdEmH7pjHwg-XirJCANyjXm5eFcgSNGYUMPl", "hide": false, "title": "Production possibilities frontier", "child_data": [{"kind": "Video", "id": 469721687}, {"kind": "Video", "id": 469721684}, {"kind": "Video", "id": 469721688}, {"kind": "Video", "id": 469721686}, {"kind": "Video", "id": 469721683}], "children": [{"translated_youtube_id": "_7VHfuWV-Qg", "relative_url": "/video/production-possibilities-frontier", "has_questions": false, "keywords": "ceteris, paribus, tradeoffs", "ka_url": "http://www.khanacademy.org/video/production-possibilities-frontier", "duration": 659, "translated_title": "Production possibilities frontier", "translated_description_html": "Tradeoffs for a hunter gatherer and the production possibilities frontier. Ceteris Paribus", "id": "469721687", "description_html": "Tradeoffs for a hunter gatherer and the production possibilities frontier. Ceteris Paribus", "title": "Production possibilities frontier", "progress_key": "v469721687", "edit_slug": "edit/v/469721687", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Tradeoffs for a hunter gatherer and the production possibilities frontier. Ceteris Paribus", "extra_properties": null, "node_slug": "v/production-possibilities-frontier", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-30T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_7VHfuWV-Qg.mp4/_7VHfuWV-Qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_7VHfuWV-Qg.mp4/_7VHfuWV-Qg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_7VHfuWV-Qg.m3u8/_7VHfuWV-Qg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_7VHfuWV-Qg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v469721687", "sha": "fb682443fd9c9e583170ab125c626adfe331eeed", "translated_description": "Tradeoffs for a hunter gatherer and the production possibilities frontier. Ceteris Paribus", "image_url": "https://img.youtube.com/vi/_7VHfuWV-Qg/hqdefault.jpg", "youtube_id": "_7VHfuWV-Qg", "content_kind": "Video", "readable_id": "production-possibilities-frontier"}, {"translated_youtube_id": "pkEiHZAtoro", "relative_url": "/video/opportunity-cost", "has_questions": false, "keywords": "economics, opportunity, marginal, cost, PPF", "ka_url": "http://www.khanacademy.org/video/opportunity-cost", "duration": 348, "translated_title": "Opportunity cost", "translated_description_html": "Opportunity cost (and marginal cost) based on the PPF", "id": "469721684", "description_html": "Opportunity cost (and marginal cost) based on the PPF", "title": "Opportunity cost", "progress_key": "v469721684", "edit_slug": "edit/v/469721684", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Opportunity cost (and marginal cost) based on the PPF", "extra_properties": null, "node_slug": "v/opportunity-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-30T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pkEiHZAtoro.mp4/pkEiHZAtoro.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pkEiHZAtoro.mp4/pkEiHZAtoro.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pkEiHZAtoro.m3u8/pkEiHZAtoro.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pkEiHZAtoro&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v469721684", "sha": "1b77df1c3f443c18e8b29c8a9a53cdf0ac1c8164", "translated_description": "Opportunity cost (and marginal cost) based on the PPF", "image_url": "https://img.youtube.com/vi/pkEiHZAtoro/hqdefault.jpg", "youtube_id": "pkEiHZAtoro", "content_kind": "Video", "readable_id": "opportunity-cost"}, {"translated_youtube_id": "00fgAG6VrRQ", "relative_url": "/video/increasing-opportunity-cost", "has_questions": false, "keywords": "increasing, opportunity, cost, PPF", "ka_url": "http://www.khanacademy.org/video/increasing-opportunity-cost", "duration": 386, "translated_title": "Increasing opportunity cost", "translated_description_html": "Why the opportunity cost may increase as you pursue more rabbits", "id": "469721688", "description_html": "Why the opportunity cost may increase as you pursue more rabbits", "title": "Increasing opportunity cost", "progress_key": "v469721688", "edit_slug": "edit/v/469721688", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why the opportunity cost may increase as you pursue more rabbits", "extra_properties": null, "node_slug": "v/increasing-opportunity-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-30T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/00fgAG6VrRQ.mp4/00fgAG6VrRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/00fgAG6VrRQ.mp4/00fgAG6VrRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/00fgAG6VrRQ.m3u8/00fgAG6VrRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=00fgAG6VrRQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v469721688", "sha": "3650ee9678542965937aebcc2b7abd574e466691", "translated_description": "Why the opportunity cost may increase as you pursue more rabbits", "image_url": "https://img.youtube.com/vi/00fgAG6VrRQ/hqdefault.jpg", "youtube_id": "00fgAG6VrRQ", "content_kind": "Video", "readable_id": "increasing-opportunity-cost"}, {"translated_youtube_id": "MT4akJsAmb0", "relative_url": "/video/allocative-efficiency-and-marginal-benefit", "has_questions": false, "keywords": "productive, allocative, efficiency, marginal, cost, benefit", "ka_url": "http://www.khanacademy.org/video/allocative-efficiency-and-marginal-benefit", "duration": 850, "translated_title": "Allocative efficiency and marginal benefit", "translated_description_html": "Marginal Utility and maximization", "id": "469721686", "description_html": "Marginal Utility and maximization", "title": "Allocative efficiency and marginal benefit", "progress_key": "v469721686", "edit_slug": "edit/v/469721686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Marginal Utility and maximization", "extra_properties": null, "node_slug": "v/allocative-efficiency-and-marginal-benefit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-30T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MT4akJsAmb0.mp4/MT4akJsAmb0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MT4akJsAmb0.mp4/MT4akJsAmb0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MT4akJsAmb0.m3u8/MT4akJsAmb0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MT4akJsAmb0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v469721686", "sha": "82185af734f60bec1c156582611494b348e4ccdc", "translated_description": "Marginal Utility and maximization", "image_url": "https://img.youtube.com/vi/MT4akJsAmb0/hqdefault.jpg", "youtube_id": "MT4akJsAmb0", "content_kind": "Video", "readable_id": "allocative-efficiency-and-marginal-benefit"}, {"translated_youtube_id": "a9aUMpGs6c8", "relative_url": "/video/economic-growth-through-investment", "has_questions": false, "keywords": "economics, PPF, investment, consumption", "ka_url": "http://www.khanacademy.org/video/economic-growth-through-investment", "duration": 475, "translated_title": "Economic growth through investment", "translated_description_html": "How investing for capital formation can expand the production possibilities frontier (PPF)", "id": "469721683", "description_html": "How investing for capital formation can expand the production possibilities frontier (PPF)", "title": "Economic growth through investment", "progress_key": "v469721683", "edit_slug": "edit/v/469721683", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How investing for capital formation can expand the production possibilities frontier (PPF)", "extra_properties": null, "node_slug": "v/economic-growth-through-investment", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-30T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a9aUMpGs6c8.mp4/a9aUMpGs6c8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a9aUMpGs6c8.mp4/a9aUMpGs6c8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a9aUMpGs6c8.m3u8/a9aUMpGs6c8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a9aUMpGs6c8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v469721683", "sha": "e54c0b791374df7851d8ec2f149072412950b9ab", "translated_description": "How investing for capital formation can expand the production possibilities frontier (PPF)", "image_url": "https://img.youtube.com/vi/a9aUMpGs6c8/hqdefault.jpg", "youtube_id": "a9aUMpGs6c8", "content_kind": "Video", "readable_id": "economic-growth-through-investment"}], "twitter_url": "", "translated_description": "This tutorial goes back to the basics. You are a hunter-gatherer with only so much time to hunt or gather. How do you allocate your time and energy to maximize you happiness? This is what we try to understand through our study of the production possibilities frontier and opportunity cost.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial goes back to the basics. You are a hunter-gatherer with only so much time to hunt or gather. How do you allocate your time and energy to maximize you happiness? This is what we try to understand through our study of the production possibilities frontier and opportunity cost.", "x_pos": 0.0, "node_slug": "production-possibilities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc0e82588", "topic_page_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities", "extended_slug": "economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities", "slug": "production-possibilities", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "047d5c44ac86b0b86446a9b0f941378465334231", "standalone_title": "Production possibilities frontier", "y_pos": 0.0, "current_revision_key": "047d5c44ac86b0b86446a9b0f941378465334231", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial", "translated_standalone_title": "Comparative advantage and gains from trade", "translated_title": "Comparative advantage and gains from trade", "gplus_url": "", "id": "x5c32e1de", "old_key_name": "4kShQsZ63nh9S_T5VosrHM01pOSN0Wvp0rExQC67", "hide": false, "title": "Comparative advantage and gains from trade", "child_data": [{"kind": "Video", "id": 471262130}, {"kind": "Video", "id": 471262129}], "children": [{"translated_youtube_id": "xx9xNJlPOJo", "relative_url": "/video/comparative-advantage-specialization-and-gains-from-trade", "has_questions": false, "keywords": "comparative, absolute, advantage, economics, microecon", "ka_url": "http://www.khanacademy.org/video/comparative-advantage-specialization-and-gains-from-trade", "duration": 536, "translated_title": "Comparative advantage specialization and gains from trade", "translated_description_html": "How two parties can get better outcomes by specializing in their comparative advantage and trading", "id": "471262130", "description_html": "How two parties can get better outcomes by specializing in their comparative advantage and trading", "title": "Comparative advantage specialization and gains from trade", "progress_key": "v471262130", "edit_slug": "edit/v/471262130", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How two parties can get better outcomes by specializing in their comparative advantage and trading", "extra_properties": null, "node_slug": "v/comparative-advantage-specialization-and-gains-from-trade", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xx9xNJlPOJo.mp4/xx9xNJlPOJo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xx9xNJlPOJo.mp4/xx9xNJlPOJo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xx9xNJlPOJo.m3u8/xx9xNJlPOJo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xx9xNJlPOJo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471262130", "sha": "339802809757d8bf541578e937dc16f82f239da8", "translated_description": "How two parties can get better outcomes by specializing in their comparative advantage and trading", "image_url": "https://img.youtube.com/vi/xx9xNJlPOJo/hqdefault.jpg", "youtube_id": "xx9xNJlPOJo", "content_kind": "Video", "readable_id": "comparative-advantage-specialization-and-gains-from-trade"}, {"translated_youtube_id": "xN3UV5FsBkU", "relative_url": "/video/comparative-advantage-and-absolute-advantage", "has_questions": false, "keywords": "trade, comparative, advantage, absolute, economics", "ka_url": "http://www.khanacademy.org/video/comparative-advantage-and-absolute-advantage", "duration": 616, "translated_title": "Comparative advantage and absolute advantage", "translated_description_html": "Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)", "id": "471262129", "description_html": "Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)", "title": "Comparative advantage and absolute advantage", "progress_key": "v471262129", "edit_slug": "edit/v/471262129", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)", "extra_properties": null, "node_slug": "v/comparative-advantage-and-absolute-advantage", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-12-31T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xN3UV5FsBkU.mp4/xN3UV5FsBkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xN3UV5FsBkU.mp4/xN3UV5FsBkU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xN3UV5FsBkU.m3u8/xN3UV5FsBkU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xN3UV5FsBkU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v471262129", "sha": "b11d1110fa092d79fcc9db18dbdedba1c6d88391", "translated_description": "Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)", "image_url": "https://img.youtube.com/vi/xN3UV5FsBkU/hqdefault.jpg", "youtube_id": "xN3UV5FsBkU", "content_kind": "Video", "readable_id": "comparative-advantage-and-absolute-advantage"}], "twitter_url": "", "translated_description": "Should you try to produce everything yourself or only what you are best at and trade for everything else? What if you're better than your trading partners at everything? \n\nThis tutorial focuses on comparative advantage, specialization and gains from trade with a microeconomic lens.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Should you try to produce everything yourself or only what you are best at and trade for everything else? What if you're better than your trading partners at everything? \n\nThis tutorial focuses on comparative advantage, specialization and gains from trade with a microeconomic lens.", "x_pos": 0.0, "node_slug": "gains-from-trade-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5c32e1de", "topic_page_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial", "extended_slug": "economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial", "slug": "gains-from-trade-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6ff3237b2c5b61feeda249c4d124fa02e4c8d7b7", "standalone_title": "Comparative advantage and gains from trade", "y_pos": 0.0, "current_revision_key": "6ff3237b2c5b61feeda249c4d124fa02e4c8d7b7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial", "translated_standalone_title": "Marginal utility and budget lines", "translated_title": "Marginal utility and budget lines", "gplus_url": "", "id": "xb24195de", "old_key_name": "HGjxffqmFTVuHAWPx8K_TCMh5ZY86q5mTHo9VR7U", "hide": false, "title": "Marginal utility and budget lines", "child_data": [{"kind": "Video", "id": 505817315}, {"kind": "Video", "id": 505817316}, {"kind": "Video", "id": 505808557}, {"kind": "Video", "id": 508001597}, {"kind": "Video", "id": 1266170528}, {"kind": "Video", "id": 508001596}, {"kind": "Video", "id": 508018310}], "children": [{"translated_youtube_id": "Kf9KhwryQNE", "relative_url": "/video/marginal-utility", "has_questions": false, "keywords": "microeconomics, utility", "ka_url": "http://www.khanacademy.org/video/marginal-utility", "duration": 734, "translated_title": "Marginal utility", "translated_description_html": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", "id": "505817315", "description_html": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", "title": "Marginal utility", "progress_key": "v505817315", "edit_slug": "edit/v/505817315", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", "extra_properties": null, "node_slug": "v/marginal-utility", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-01-17T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.m3u8/Kf9KhwryQNE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kf9KhwryQNE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v505817315", "sha": "80ae9c90acc74dd20170c57382642c6b6fab9c44", "translated_description": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", "image_url": "https://img.youtube.com/vi/Kf9KhwryQNE/hqdefault.jpg", "youtube_id": "Kf9KhwryQNE", "content_kind": "Video", "readable_id": "marginal-utility"}, {"translated_youtube_id": "KbW6OiuRa1Y", "relative_url": "/video/equalizing-marginal-utility-per-dollar-spent", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/equalizing-marginal-utility-per-dollar-spent", "duration": 462, "translated_title": "Equalizing marginal utility per dollar spent", "translated_description_html": "Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased", "id": "505817316", "description_html": "Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased", "title": "Equalizing marginal utility per dollar spent", "progress_key": "v505817316", "edit_slug": "edit/v/505817316", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased", "extra_properties": null, "node_slug": "v/equalizing-marginal-utility-per-dollar-spent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-17T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.mp4/KbW6OiuRa1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.mp4/KbW6OiuRa1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.m3u8/KbW6OiuRa1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KbW6OiuRa1Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v505817316", "sha": "0416574714a1ef076407ead32807836a362f5bf1", "translated_description": "Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased", "image_url": "https://img.youtube.com/vi/KbW6OiuRa1Y/hqdefault.jpg", "youtube_id": "KbW6OiuRa1Y", "content_kind": "Video", "readable_id": "equalizing-marginal-utility-per-dollar-spent"}, {"translated_youtube_id": "4-_-wQc3EGE", "relative_url": "/video/deriving-demand-curve-from-tweaking-marginal-utility-per-dollar", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/deriving-demand-curve-from-tweaking-marginal-utility-per-dollar", "duration": 523, "translated_title": "Deriving demand curve from tweaking marginal utility per dollar", "translated_description_html": "Seeing what happens to quantity demanded when price changes", "id": "505808557", "description_html": "Seeing what happens to quantity demanded when price changes", "title": "Deriving demand curve from tweaking marginal utility per dollar", "progress_key": "v505808557", "edit_slug": "edit/v/505808557", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Seeing what happens to quantity demanded when price changes", "extra_properties": null, "node_slug": "v/deriving-demand-curve-from-tweaking-marginal-utility-per-dollar", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-17T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4-_-wQc3EGE.mp4/4-_-wQc3EGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4-_-wQc3EGE.mp4/4-_-wQc3EGE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4-_-wQc3EGE.m3u8/4-_-wQc3EGE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4-_-wQc3EGE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v505808557", "sha": "62a5e58bc12fe0ab659a0250bb86ea4773aa38d2", "translated_description": "Seeing what happens to quantity demanded when price changes", "image_url": "https://img.youtube.com/vi/4-_-wQc3EGE/hqdefault.jpg", "youtube_id": "4-_-wQc3EGE", "content_kind": "Video", "readable_id": "deriving-demand-curve-from-tweaking-marginal-utility-per-dollar"}, {"translated_youtube_id": "Uq5Wzs96tiw", "relative_url": "/video/budget-line", "has_questions": false, "keywords": "microeconomics, real, income, relative, price", "ka_url": "http://www.khanacademy.org/video/budget-line", "duration": 731, "translated_title": "Budget line", "translated_description_html": "What I can buy with my income", "id": "508001597", "description_html": "What I can buy with my income", "title": "Budget line", "progress_key": "v508001597", "edit_slug": "edit/v/508001597", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What I can buy with my income", "extra_properties": null, "node_slug": "v/budget-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-18T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uq5Wzs96tiw.mp4/Uq5Wzs96tiw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uq5Wzs96tiw.mp4/Uq5Wzs96tiw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uq5Wzs96tiw.m3u8/Uq5Wzs96tiw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uq5Wzs96tiw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v508001597", "sha": "410df4b5278638b343bd92423ba357d444fef411", "translated_description": "What I can buy with my income", "image_url": "https://img.youtube.com/vi/Uq5Wzs96tiw/hqdefault.jpg", "youtube_id": "Uq5Wzs96tiw", "content_kind": "Video", "readable_id": "budget-line"}, {"translated_youtube_id": "7G4BUm7M6MY", "relative_url": "/video/indifference-curves-and-marginal-rate-of-substitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/indifference-curves-and-marginal-rate-of-substitution", "duration": 652, "translated_title": "Indifference curves and marginal rate of substitution", "translated_description_html": "", "id": "1266170528", "description_html": "", "title": "Indifference curves and marginal rate of substitution", "progress_key": "v1266170528", "edit_slug": "edit/v/1266170528", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/indifference-curves-and-marginal-rate-of-substitution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-04T17:00:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7G4BUm7M6MY.mp4/7G4BUm7M6MY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7G4BUm7M6MY.mp4/7G4BUm7M6MY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7G4BUm7M6MY.m3u8/7G4BUm7M6MY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7G4BUm7M6MY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1266170528", "sha": "2f49fb9c30b9b5becb18dabd4089cb9f5d417b42", "translated_description": "", "image_url": "https://img.youtube.com/vi/7G4BUm7M6MY/hqdefault.jpg", "youtube_id": "7G4BUm7M6MY", "content_kind": "Video", "readable_id": "indifference-curves-and-marginal-rate-of-substitution"}, {"translated_youtube_id": "nhSSu0Nzs30", "relative_url": "/video/optimal-point-on-budget-line", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/optimal-point-on-budget-line", "duration": 564, "translated_title": "Optimal point on budget line", "translated_description_html": "Using indifference curves to think about the point on the budget line that maximizes total utility", "id": "508001596", "description_html": "Using indifference curves to think about the point on the budget line that maximizes total utility", "title": "Optimal point on budget line", "progress_key": "v508001596", "edit_slug": "edit/v/508001596", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using indifference curves to think about the point on the budget line that maximizes total utility", "extra_properties": null, "node_slug": "v/optimal-point-on-budget-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-18T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nhSSu0Nzs30.mp4/nhSSu0Nzs30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nhSSu0Nzs30.mp4/nhSSu0Nzs30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nhSSu0Nzs30.m3u8/nhSSu0Nzs30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nhSSu0Nzs30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v508001596", "sha": "783095b201212e7161cdd789ee4d78c7f04745b0", "translated_description": "Using indifference curves to think about the point on the budget line that maximizes total utility", "image_url": "https://img.youtube.com/vi/nhSSu0Nzs30/hqdefault.jpg", "youtube_id": "nhSSu0Nzs30", "content_kind": "Video", "readable_id": "optimal-point-on-budget-line"}, {"translated_youtube_id": "kJ43GdU5Uzc", "relative_url": "/video/types-of-indifference-curves", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/types-of-indifference-curves", "duration": 349, "translated_title": "Types of indifference curves", "translated_description_html": "Indifference curves for normal goods, substitutes and perfect complements", "id": "508018310", "description_html": "Indifference curves for normal goods, substitutes and perfect complements", "title": "Types of indifference curves", "progress_key": "v508018310", "edit_slug": "edit/v/508018310", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Indifference curves for normal goods, substitutes and perfect complements", "extra_properties": null, "node_slug": "v/types-of-indifference-curves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-18T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kJ43GdU5Uzc.mp4/kJ43GdU5Uzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kJ43GdU5Uzc.mp4/kJ43GdU5Uzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kJ43GdU5Uzc.m3u8/kJ43GdU5Uzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kJ43GdU5Uzc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v508018310", "sha": "c440cc458a7b21b72692402850d9dc74eaf85bdc", "translated_description": "Indifference curves for normal goods, substitutes and perfect complements", "image_url": "https://img.youtube.com/vi/kJ43GdU5Uzc/hqdefault.jpg", "youtube_id": "kJ43GdU5Uzc", "content_kind": "Video", "readable_id": "types-of-indifference-curves"}], "twitter_url": "", "translated_description": "In this tutorial we look at the utility of getting one more of something and put numbers to it. We then use this to construct a budget line and think about indifference curves.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we look at the utility of getting one more of something and put numbers to it. We then use this to construct a budget line and think about indifference curves.", "x_pos": 0.0, "node_slug": "marginal-utility-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb24195de", "topic_page_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial", "extended_slug": "economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial", "slug": "marginal-utility-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8dbb1baf0ce7f0a1a22e367dce12e7444b3b3a1d", "standalone_title": "Marginal utility and budget lines", "y_pos": 0.0, "current_revision_key": "8dbb1baf0ce7f0a1a22e367dce12e7444b3b3a1d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "How do you decide what to produce or trade? How can you maximize happiness in a world of scarcity. What are you giving up when you choose something (i.e., opportunity cost)?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How do you decide what to produce or trade? How can you maximize happiness in a world of scarcity. What are you giving up when you choose something (i.e., opportunity cost)?", "x_pos": 0.0, "node_slug": "choices-opp-cost-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7d52cd8b", "topic_page_url": "/economics-finance-domain/microeconomics/choices-opp-cost-tutorial", "extended_slug": "economics-finance-domain/microeconomics/choices-opp-cost-tutorial", "slug": "choices-opp-cost-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "4cebcd2d255dd317fbd3aeb3babb55d60a8171b6", "standalone_title": "Choices, opportunity cost and happiness", "y_pos": 0.0, "current_revision_key": "4cebcd2d255dd317fbd3aeb3babb55d60a8171b6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit", "translated_standalone_title": "The firm and economic profit", "translated_title": "Production decisions and economic profit", "gplus_url": "", "id": "x6eb7f0af", "old_key_name": "QGjfl4mxkHaom36XRAzcr5_n8Z0mTiZXxPo8-d1p", "hide": false, "title": "Production decisions and economic profit", "child_data": [{"kind": "Topic", "id": "xa79df62a"}, {"kind": "Topic", "id": "xdb1ec44f"}, {"kind": "Topic", "id": "x11d8123f"}, {"kind": "Topic", "id": "xda2c5181"}, {"kind": "Topic", "id": "xd32ce9ca"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial", "translated_standalone_title": "Economic profit and opportunity cost", "translated_title": "Economic profit and opportunity cost", "gplus_url": "", "id": "xa79df62a", "old_key_name": "JeCAfXOgpv-LvWtY2WGEXcXjNgFw7kAsPV-OTA1_", "hide": false, "title": "Economic profit and opportunity cost", "child_data": [{"kind": "Video", "id": 510581042}, {"kind": "Video", "id": 512959991}], "children": [{"translated_youtube_id": "06j_zPdPWOY", "relative_url": "/video/economic-profit-vs-accounting-profit", "has_questions": false, "keywords": "microeconomics, accounting, firm, marquee", "ka_url": "http://www.khanacademy.org/video/economic-profit-vs-accounting-profit", "duration": 486, "translated_title": "Economic profit vs accounting profit", "translated_description_html": "Difference between a firm's accounting and economic profit", "id": "510581042", "description_html": "Difference between a firm's accounting and economic profit", "title": "Economic profit vs accounting profit", "progress_key": "v510581042", "edit_slug": "edit/v/510581042", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference between a firm's accounting and economic profit", "extra_properties": null, "node_slug": "v/economic-profit-vs-accounting-profit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-19T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/06j_zPdPWOY.mp4/06j_zPdPWOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/06j_zPdPWOY.mp4/06j_zPdPWOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/06j_zPdPWOY.m3u8/06j_zPdPWOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=06j_zPdPWOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v510581042", "sha": "cf444260f5e0990027be6d38ec169bd9b913483c", "translated_description": "Difference between a firm's accounting and economic profit", "image_url": "https://img.youtube.com/vi/06j_zPdPWOY/hqdefault.jpg", "youtube_id": "06j_zPdPWOY", "content_kind": "Video", "readable_id": "economic-profit-vs-accounting-profit"}, {"translated_youtube_id": "ckBKDrKVIMU", "relative_url": "/video/depreciation-and-opportunity-cost-of-capital", "has_questions": false, "keywords": "microeconomics, economic, profit, depreciation", "ka_url": "http://www.khanacademy.org/video/depreciation-and-opportunity-cost-of-capital", "duration": 490, "translated_title": "Depreciation and opportunity cost of capital", "translated_description_html": "How to account for things when you own the building instead of renting it", "id": "512959991", "description_html": "How to account for things when you own the building instead of renting it", "title": "Depreciation and opportunity cost of capital", "progress_key": "v512959991", "edit_slug": "edit/v/512959991", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to account for things when you own the building instead of renting it", "extra_properties": null, "node_slug": "v/depreciation-and-opportunity-cost-of-capital", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-20T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ckBKDrKVIMU.mp4/ckBKDrKVIMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ckBKDrKVIMU.mp4/ckBKDrKVIMU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ckBKDrKVIMU.m3u8/ckBKDrKVIMU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ckBKDrKVIMU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v512959991", "sha": "6c78e46d44f04187145de6df88b82abd4256687d", "translated_description": "How to account for things when you own the building instead of renting it", "image_url": "https://img.youtube.com/vi/ckBKDrKVIMU/hqdefault.jpg", "youtube_id": "ckBKDrKVIMU", "content_kind": "Video", "readable_id": "depreciation-and-opportunity-cost-of-capital"}], "twitter_url": "", "translated_description": "Economic profit and accounting profit are two different things (the difference being that economic profit takes into account opportunity cost). Confused? This tutorial lays it all out with the example of a restaurant.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Economic profit and accounting profit are two different things (the difference being that economic profit takes into account opportunity cost). Confused? This tutorial lays it all out with the example of a restaurant.", "x_pos": 0.0, "node_slug": "economic-profit-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa79df62a", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial", "slug": "economic-profit-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "85412c6735fb765465a13b6da3b1ffabb8242488", "standalone_title": "Economic profit and opportunity cost", "y_pos": 0.0, "current_revision_key": "85412c6735fb765465a13b6da3b1ffabb8242488", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev", "translated_standalone_title": "Average costs (ATC, MC) and marginal revenue (MR)", "translated_title": "Average costs (ATC, MC) and marginal revenue (MR)", "gplus_url": "", "id": "xdb1ec44f", "old_key_name": "3LxpFP-6vIVWnYxtWt8Pb_69r3EhH71gwSHCfOWa", "hide": false, "title": "Average costs (ATC, MC) and marginal revenue (MR)", "child_data": [{"kind": "Video", "id": 521284922}, {"kind": "Video", "id": 521284923}, {"kind": "Video", "id": 521326286}, {"kind": "Video", "id": 523817786}], "children": [{"translated_youtube_id": "7t8gdc3YogM", "relative_url": "/video/marginal-cost-and-average-total-cost", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/marginal-cost-and-average-total-cost", "duration": 460, "translated_title": "Marginal cost and average total cost", "translated_description_html": "Looking at marginal and average total cost in the context of a juice business", "id": "521284922", "description_html": "Looking at marginal and average total cost in the context of a juice business", "title": "Marginal cost and average total cost", "progress_key": "v521284922", "edit_slug": "edit/v/521284922", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking at marginal and average total cost in the context of a juice business", "extra_properties": null, "node_slug": "v/marginal-cost-and-average-total-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-24T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7t8gdc3YogM.mp4/7t8gdc3YogM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7t8gdc3YogM.mp4/7t8gdc3YogM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7t8gdc3YogM.m3u8/7t8gdc3YogM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7t8gdc3YogM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v521284922", "sha": "0bafa82ad3e26727daa4973ae6dd4fb91c897741", "translated_description": "Looking at marginal and average total cost in the context of a juice business", "image_url": "https://img.youtube.com/vi/7t8gdc3YogM/hqdefault.jpg", "youtube_id": "7t8gdc3YogM", "content_kind": "Video", "readable_id": "marginal-cost-and-average-total-cost"}, {"translated_youtube_id": "xGkE0oHyNhk", "relative_url": "/video/marginal-revenue-and-marginal-cost", "has_questions": false, "keywords": "microeconomics, marginal, revenue, price, taker, market", "ka_url": "http://www.khanacademy.org/video/marginal-revenue-and-marginal-cost", "duration": 370, "translated_title": "Marginal revenue and marginal cost", "translated_description_html": "Thinking about a rational quantity of juice to produce", "id": "521284923", "description_html": "Thinking about a rational quantity of juice to produce", "title": "Marginal revenue and marginal cost", "progress_key": "v521284923", "edit_slug": "edit/v/521284923", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about a rational quantity of juice to produce", "extra_properties": null, "node_slug": "v/marginal-revenue-and-marginal-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-01-24T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGkE0oHyNhk.mp4/xGkE0oHyNhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGkE0oHyNhk.mp4/xGkE0oHyNhk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xGkE0oHyNhk.m3u8/xGkE0oHyNhk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xGkE0oHyNhk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v521284923", "sha": "64583d29a12044799252b09184ece01ee63d5d0f", "translated_description": "Thinking about a rational quantity of juice to produce", "image_url": "https://img.youtube.com/vi/xGkE0oHyNhk/hqdefault.jpg", "youtube_id": "xGkE0oHyNhk", "content_kind": "Video", "readable_id": "marginal-revenue-and-marginal-cost"}, {"translated_youtube_id": "ni0TL4pXG5w", "relative_url": "/video/marginal-revenue-below-average-total-cost", "has_questions": false, "keywords": "microeconomics, marginal, revenue, cost", "ka_url": "http://www.khanacademy.org/video/marginal-revenue-below-average-total-cost", "duration": 355, "translated_title": "Marginal revenue below average total cost", "translated_description_html": "Why it is rational to produce at a loss", "id": "521326286", "description_html": "Why it is rational to produce at a loss", "title": "Marginal revenue below average total cost", "progress_key": "v521326286", "edit_slug": "edit/v/521326286", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why it is rational to produce at a loss", "extra_properties": null, "node_slug": "v/marginal-revenue-below-average-total-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-24T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ni0TL4pXG5w.mp4/ni0TL4pXG5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ni0TL4pXG5w.mp4/ni0TL4pXG5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ni0TL4pXG5w.m3u8/ni0TL4pXG5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ni0TL4pXG5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v521326286", "sha": "a6ef61dce36b8d10ebf7e7afea973b1082063a05", "translated_description": "Why it is rational to produce at a loss", "image_url": "https://img.youtube.com/vi/ni0TL4pXG5w/hqdefault.jpg", "youtube_id": "ni0TL4pXG5w", "content_kind": "Video", "readable_id": "marginal-revenue-below-average-total-cost"}, {"translated_youtube_id": "CWiHA5XtqgU", "relative_url": "/video/long-term-supply-curve-and-economic-profit", "has_questions": false, "keywords": "normal, profit, microeconomics", "ka_url": "http://www.khanacademy.org/video/long-term-supply-curve-and-economic-profit", "duration": 506, "translated_title": "Long term supply curve and economic profit", "translated_description_html": "Understanding the long term supply curve in terms of economic profit", "id": "523817786", "description_html": "Understanding the long term supply curve in terms of economic profit", "title": "Long term supply curve and economic profit", "progress_key": "v523817786", "edit_slug": "edit/v/523817786", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the long term supply curve in terms of economic profit", "extra_properties": null, "node_slug": "v/long-term-supply-curve-and-economic-profit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-25T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CWiHA5XtqgU.mp4/CWiHA5XtqgU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CWiHA5XtqgU.mp4/CWiHA5XtqgU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CWiHA5XtqgU.m3u8/CWiHA5XtqgU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CWiHA5XtqgU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v523817786", "sha": "82d4e8a50632f8e86bf562132781106fc897d37d", "translated_description": "Understanding the long term supply curve in terms of economic profit", "image_url": "https://img.youtube.com/vi/CWiHA5XtqgU/hqdefault.jpg", "youtube_id": "CWiHA5XtqgU", "content_kind": "Video", "readable_id": "long-term-supply-curve-and-economic-profit"}], "twitter_url": "", "translated_description": "In this tutorial, Sal uses the example of an orange juice business to help us understand the ideas of average total cost (ATC), marginal cost (MC) and marginal revenue (MR). We then use this understanding to answer the age-old question, \"how much orange juice should I produce?\" Finally, we use these ideas to construct a long-run supply curve. A must watch if you're interested in making juice!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, Sal uses the example of an orange juice business to help us understand the ideas of average total cost (ATC), marginal cost (MC) and marginal revenue (MR). We then use this understanding to answer the age-old question, \"how much orange juice should I produce?\" Finally, we use these ideas to construct a long-run supply curve. A must watch if you're interested in making juice!", "x_pos": 0.0, "node_slug": "average-costs-margin-rev", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb1ec44f", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev", "slug": "average-costs-margin-rev", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5ac5b315a9922db6011238fe6cac113547aad4c8", "standalone_title": "Average costs (ATC, MC) and marginal revenue (MR)", "y_pos": 0.0, "current_revision_key": "5ac5b315a9922db6011238fe6cac113547aad4c8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial", "translated_standalone_title": "Average fixed, variable and marginal costs", "translated_title": "Average fixed, variable and marginal costs", "gplus_url": "", "id": "x11d8123f", "old_key_name": "PH1gEnR3ne1t7duAxjX0Kf9K0k2VlXCzZ4CrpPJ8", "hide": false, "title": "Average fixed, variable and marginal costs", "child_data": [{"kind": "Video", "id": 514726534}, {"kind": "Video", "id": 521326287}], "children": [{"translated_youtube_id": "bBQVaRnHqLs", "relative_url": "/video/fixed--variable--and-marginal-cost", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/fixed--variable--and-marginal-cost", "duration": 709, "translated_title": "Fixed, variable, and marginal cost", "translated_description_html": "Thinking about average fixed, variable and marginal cost", "id": "514726534", "description_html": "Thinking about average fixed, variable and marginal cost", "title": "Fixed, variable, and marginal cost", "progress_key": "v514726534", "edit_slug": "edit/v/514726534", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about average fixed, variable and marginal cost", "extra_properties": null, "node_slug": "v/fixed--variable--and-marginal-cost", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-21T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bBQVaRnHqLs.mp4/bBQVaRnHqLs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bBQVaRnHqLs.mp4/bBQVaRnHqLs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bBQVaRnHqLs.m3u8/bBQVaRnHqLs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bBQVaRnHqLs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v514726534", "sha": "14ed9e54b31d2cbf338cc0b2879e7c94432a9ea3", "translated_description": "Thinking about average fixed, variable and marginal cost", "image_url": "https://img.youtube.com/vi/bBQVaRnHqLs/hqdefault.jpg", "youtube_id": "bBQVaRnHqLs", "content_kind": "Video", "readable_id": "fixed--variable--and-marginal-cost"}, {"translated_youtube_id": "k1iHDu9GrJE", "relative_url": "/video/visualizing-average-costs-and-marginal-costs-as-slope", "has_questions": false, "keywords": "marginal, cost, microeconomics", "ka_url": "http://www.khanacademy.org/video/visualizing-average-costs-and-marginal-costs-as-slope", "duration": 726, "translated_title": "Visualizing average costs and marginal costs as slope", "translated_description_html": "Graphing variable cost, fixed cost and total cost", "id": "521326287", "description_html": "Graphing variable cost, fixed cost and total cost", "title": "Visualizing average costs and marginal costs as slope", "progress_key": "v521326287", "edit_slug": "edit/v/521326287", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Graphing variable cost, fixed cost and total cost", "extra_properties": null, "node_slug": "v/visualizing-average-costs-and-marginal-costs-as-slope", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-01-24T11:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k1iHDu9GrJE.mp4/k1iHDu9GrJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k1iHDu9GrJE.mp4/k1iHDu9GrJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k1iHDu9GrJE.m3u8/k1iHDu9GrJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k1iHDu9GrJE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v521326287", "sha": "3211b439636cae042b79fca51480708591452df2", "translated_description": "Graphing variable cost, fixed cost and total cost", "image_url": "https://img.youtube.com/vi/k1iHDu9GrJE/hqdefault.jpg", "youtube_id": "k1iHDu9GrJE", "content_kind": "Video", "readable_id": "visualizing-average-costs-and-marginal-costs-as-slope"}], "twitter_url": "", "translated_description": "Using a spreadsheet, Sal walks through an example of average costs per line of code as a firm hires more engineers. Really good primer to understand what average fixed costs, average variable costs, average total costs (ATC) and average marginal costs (MC) are (and how they are calculated).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Using a spreadsheet, Sal walks through an example of average costs per line of code as a firm hires more engineers. Really good primer to understand what average fixed costs, average variable costs, average total costs (ATC) and average marginal costs (MC) are (and how they are calculated).", "x_pos": 0.0, "node_slug": "average-costs-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax11d8123f", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial", "slug": "average-costs-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9d1b6ed4d361c4faf5600be311b8387ff68dc078", "standalone_title": "Average fixed, variable and marginal costs", "y_pos": 0.0, "current_revision_key": "9d1b6ed4d361c4faf5600be311b8387ff68dc078", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev", "translated_standalone_title": "Labor and marginal product revenue", "translated_title": "Labor and marginal product revenue", "gplus_url": "", "id": "xda2c5181", "old_key_name": "G89bDu0w9Zn5ViJCetoVeHwUWdyNojuC2TUmLJsI", "hide": false, "title": "Labor and marginal product revenue", "child_data": [{"kind": "Video", "id": 544764167}, {"kind": "Video", "id": 544732566}, {"kind": "Video", "id": 544749484}], "children": [{"translated_youtube_id": "cwClnv9Y1Y0", "relative_url": "/video/a-firm-s-marginal-product-revenue-curve", "has_questions": false, "keywords": "microecnomic, MPR, MPL, TP", "ka_url": "http://www.khanacademy.org/video/a-firm-s-marginal-product-revenue-curve", "duration": 783, "translated_title": "A firm's marginal product revenue curve", "translated_description_html": "Thinking about how much incremental benefit a firm gets from hiring one more person", "id": "544764167", "description_html": "Thinking about how much incremental benefit a firm gets from hiring one more person", "title": "A firm's marginal product revenue curve", "progress_key": "v544764167", "edit_slug": "edit/v/544764167", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how much incremental benefit a firm gets from hiring one more person", "extra_properties": null, "node_slug": "v/a-firm-s-marginal-product-revenue-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cwClnv9Y1Y0.mp4/cwClnv9Y1Y0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cwClnv9Y1Y0.mp4/cwClnv9Y1Y0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cwClnv9Y1Y0.m3u8/cwClnv9Y1Y0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cwClnv9Y1Y0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544764167", "sha": "d4e1f776557b4d49d0c5b5988cc7bdac098775d7", "translated_description": "Thinking about how much incremental benefit a firm gets from hiring one more person", "image_url": "https://img.youtube.com/vi/cwClnv9Y1Y0/hqdefault.jpg", "youtube_id": "cwClnv9Y1Y0", "content_kind": "Video", "readable_id": "a-firm-s-marginal-product-revenue-curve"}, {"translated_youtube_id": "p8PSIpMkEvA", "relative_url": "/video/how-many-people-to-hire-given-the-mpr-curve", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/how-many-people-to-hire-given-the-mpr-curve", "duration": 542, "translated_title": "How many people to hire given the MPR curve", "translated_description_html": "Thinking about how many people it makes sense to hire. Brief discussion of a monopsony.", "id": "544732566", "description_html": "Thinking about how many people it makes sense to hire. Brief discussion of a monopsony.", "title": "How many people to hire given the MPR curve", "progress_key": "v544732566", "edit_slug": "edit/v/544732566", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how many people it makes sense to hire. Brief discussion of a monopsony.", "extra_properties": null, "node_slug": "v/how-many-people-to-hire-given-the-mpr-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p8PSIpMkEvA.mp4/p8PSIpMkEvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p8PSIpMkEvA.mp4/p8PSIpMkEvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p8PSIpMkEvA.m3u8/p8PSIpMkEvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p8PSIpMkEvA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544732566", "sha": "3498cd61c4427c9f020deb673df009f4a1a99258", "translated_description": "Thinking about how many people it makes sense to hire. Brief discussion of a monopsony.", "image_url": "https://img.youtube.com/vi/p8PSIpMkEvA/hqdefault.jpg", "youtube_id": "p8PSIpMkEvA", "content_kind": "Video", "readable_id": "how-many-people-to-hire-given-the-mpr-curve"}, {"translated_youtube_id": "gHs3zuRek7o", "relative_url": "/video/adding-demand-curves", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/adding-demand-curves", "duration": 378, "translated_title": "Adding demand curves", "translated_description_html": "How to add demand curves", "id": "544749484", "description_html": "How to add demand curves", "title": "Adding demand curves", "progress_key": "v544749484", "edit_slug": "edit/v/544749484", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How to add demand curves", "extra_properties": null, "node_slug": "v/adding-demand-curves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gHs3zuRek7o.mp4/gHs3zuRek7o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gHs3zuRek7o.mp4/gHs3zuRek7o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gHs3zuRek7o.m3u8/gHs3zuRek7o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gHs3zuRek7o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544749484", "sha": "da7574b813937162e2f148e8e6751697b7eb4af3", "translated_description": "How to add demand curves", "image_url": "https://img.youtube.com/vi/gHs3zuRek7o/hqdefault.jpg", "youtube_id": "gHs3zuRek7o", "content_kind": "Video", "readable_id": "adding-demand-curves"}], "twitter_url": "", "translated_description": "Constructing a demand curve for an individual firm by thinking about how much increment benefit they get from an incremental employee (marginal product of labor (MPL) and marginal product revenue (MPR). We later think about how we can add these \"demand\" curves to construct a \"demand\" curve for the market for labor in this industry.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Constructing a demand curve for an individual firm by thinking about how much increment benefit they get from an incremental employee (marginal product of labor (MPL) and marginal product revenue (MPR). We later think about how we can add these \"demand\" curves to construct a \"demand\" curve for the market for labor in this industry.", "x_pos": 0.0, "node_slug": "labor-marginal-product-rev", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axda2c5181", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev", "slug": "labor-marginal-product-rev", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "1d000422bbbbeac607900309c3dca177fa13c13c", "standalone_title": "Labor and marginal product revenue", "y_pos": 0.0, "current_revision_key": "1d000422bbbbeac607900309c3dca177fa13c13c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/firm-economic-profit/price-discrimination-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/price-discrimination-tutorial", "translated_standalone_title": "Price discrimination", "translated_title": "Price discrimination", "gplus_url": "", "id": "xd32ce9ca", "old_key_name": "56kwcpDtxoeLVaVM5d641N8Gm1qnHrdpjjoO1_o5", "hide": false, "title": "Price discrimination", "child_data": [{"kind": "Video", "id": 541028301}], "children": [{"translated_youtube_id": "z0wg9ZPyL38", "relative_url": "/video/first-degree-price-discrimination", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/first-degree-price-discrimination", "duration": 361, "translated_title": "First degree price discrimination", "translated_description_html": "Charging different consumers different amounts in an attempt to optimize economic profit", "id": "541028301", "description_html": "Charging different consumers different amounts in an attempt to optimize economic profit", "title": "First degree price discrimination", "progress_key": "v541028301", "edit_slug": "edit/v/541028301", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Charging different consumers different amounts in an attempt to optimize economic profit", "extra_properties": null, "node_slug": "v/first-degree-price-discrimination", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z0wg9ZPyL38.mp4/z0wg9ZPyL38.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z0wg9ZPyL38.mp4/z0wg9ZPyL38.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z0wg9ZPyL38.m3u8/z0wg9ZPyL38.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z0wg9ZPyL38&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028301", "sha": "b866df1e0ebeeb174463c5225ae49575167d3265", "translated_description": "Charging different consumers different amounts in an attempt to optimize economic profit", "image_url": "https://img.youtube.com/vi/z0wg9ZPyL38/hqdefault.jpg", "youtube_id": "z0wg9ZPyL38", "content_kind": "Video", "readable_id": "first-degree-price-discrimination"}], "twitter_url": "", "translated_description": "This short tutorial explores how a wine business can utilize first-degree price discrimination to maximize economic profit (it uses many of the ideas we've explored in the rest of this tutorial).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This short tutorial explores how a wine business can utilize first-degree price discrimination to maximize economic profit (it uses many of the ideas we've explored in the rest of this tutorial).", "x_pos": 0.0, "node_slug": "price-discrimination-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd32ce9ca", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit/price-discrimination-tutorial", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit/price-discrimination-tutorial", "slug": "price-discrimination-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dd5ce38968692b15454d7d26d6d515cb819dd010", "standalone_title": "Price discrimination", "y_pos": 0.0, "current_revision_key": "dd5ce38968692b15454d7d26d6d515cb819dd010", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Economic profit vs. accounting profit. Average total cost (ATC) and marginal cost (MC). Marginal product of labor (MPL). Price discrimination.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Economic profit vs. accounting profit. Average total cost (ATC) and marginal cost (MC). Marginal product of labor (MPL). Price discrimination.", "x_pos": 0.0, "node_slug": "firm-economic-profit", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6eb7f0af", "topic_page_url": "/economics-finance-domain/microeconomics/firm-economic-profit", "extended_slug": "economics-finance-domain/microeconomics/firm-economic-profit", "slug": "firm-economic-profit", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "240cf64426366703e21ba8c114395c38ed762993", "standalone_title": "The firm and economic profit", "y_pos": 0.0, "current_revision_key": "240cf64426366703e21ba8c114395c38ed762993", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/perfect-competition-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic", "translated_standalone_title": "Perfect and imperfect competition", "translated_title": "Forms of competition", "gplus_url": "", "id": "x4e921a04", "old_key_name": "Y_NoTEywM8v68huvwdhLh2s2U81VUs-7Xny9rxBt", "hide": false, "title": "Forms of competition", "child_data": [{"kind": "Topic", "id": "x64a13d33"}, {"kind": "Topic", "id": "x1ea3627a"}, {"kind": "Topic", "id": "x9e434ffa"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/perfect-competition", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/perfect-competition", "translated_standalone_title": "Perfect competition", "translated_title": "Perfect competition", "gplus_url": "", "id": "x64a13d33", "old_key_name": "xb5OkV4wuQsZZzFWlnksy3Cq-8IBnvwb2Gp1diX9", "hide": false, "title": "Perfect competition", "child_data": [{"kind": "Video", "id": 523902405}], "children": [{"translated_youtube_id": "_NznT4Cn8As", "relative_url": "/video/perfect-competition", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/perfect-competition", "duration": 617, "translated_title": "Perfect competition", "translated_description_html": "Conditions for perfect competition. Looking at the airline industry", "id": "523902405", "description_html": "Conditions for perfect competition. Looking at the airline industry", "title": "Perfect competition", "progress_key": "v523902405", "edit_slug": "edit/v/523902405", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Conditions for perfect competition. Looking at the airline industry", "extra_properties": null, "node_slug": "v/perfect-competition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-25T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_NznT4Cn8As.mp4/_NznT4Cn8As.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_NznT4Cn8As.mp4/_NznT4Cn8As.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_NznT4Cn8As.m3u8/_NznT4Cn8As.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_NznT4Cn8As&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v523902405", "sha": "4f43725350da824494e89bff4d873e88b724566b", "translated_description": "Conditions for perfect competition. Looking at the airline industry", "image_url": "https://img.youtube.com/vi/_NznT4Cn8As/hqdefault.jpg", "youtube_id": "_NznT4Cn8As", "content_kind": "Video", "readable_id": "perfect-competition"}], "twitter_url": "", "translated_description": "This tutorial looks at markets that are deemed to have \"perfect competition.\" This means that there are many players with identical products, no barriers to entry, no advantage for existing players and good pricing information. Few to no real market completely matches this theoretical ideal, but many are close. Even the example we use in this tutorial (the airline industry) isn't quite perfect (you should think about why).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial looks at markets that are deemed to have \"perfect competition.\" This means that there are many players with identical products, no barriers to entry, no advantage for existing players and good pricing information. Few to no real market completely matches this theoretical ideal, but many are close. Even the example we use in this tutorial (the airline industry) isn't quite perfect (you should think about why).", "x_pos": 0.0, "node_slug": "perfect-competition", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax64a13d33", "topic_page_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/perfect-competition", "extended_slug": "economics-finance-domain/microeconomics/perfect-competition-topic/perfect-competition", "slug": "perfect-competition", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dcc98c9cc2d4ddb1c7a8d4ad1d25883fd24dc7ad", "standalone_title": "Perfect competition", "y_pos": 0.0, "current_revision_key": "dcc98c9cc2d4ddb1c7a8d4ad1d25883fd24dc7ad", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial", "translated_standalone_title": "Monopolies", "translated_title": "Monopoly", "gplus_url": "", "id": "x1ea3627a", "old_key_name": "YO8mNu_bMehDSHChAWDLw8kldLVHVB1QvJdpZ-Vy", "hide": false, "title": "Monopoly", "child_data": [{"kind": "Video", "id": 523878000}, {"kind": "Video", "id": 526475273}, {"kind": "Video", "id": 526475275}, {"kind": "Video", "id": 526475274}, {"kind": "Video", "id": 526475276}, {"kind": "Video", "id": 1266250654}], "children": [{"translated_youtube_id": "77CApfQlTuE", "relative_url": "/video/monopoly-basics", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/monopoly-basics", "duration": 344, "translated_title": "Monopoly basics", "translated_description_html": "Thinking about what would happen with one airline. The opposite of perfect competition", "id": "523878000", "description_html": "Thinking about what would happen with one airline. The opposite of perfect competition", "title": "Monopoly basics", "progress_key": "v523878000", "edit_slug": "edit/v/523878000", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about what would happen with one airline. The opposite of perfect competition", "extra_properties": null, "node_slug": "v/monopoly-basics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-25T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/77CApfQlTuE.mp4/77CApfQlTuE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/77CApfQlTuE.mp4/77CApfQlTuE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/77CApfQlTuE.m3u8/77CApfQlTuE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=77CApfQlTuE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v523878000", "sha": "c144db7713121e753eb80fbad53348126597ce1a", "translated_description": "Thinking about what would happen with one airline. The opposite of perfect competition", "image_url": "https://img.youtube.com/vi/77CApfQlTuE/hqdefault.jpg", "youtube_id": "77CApfQlTuE", "content_kind": "Video", "readable_id": "monopoly-basics"}, {"translated_youtube_id": "cczABrLd_uA", "relative_url": "/video/monopolist-optimizing-price--part-1---total-revenue", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/monopolist-optimizing-price--part-1---total-revenue", "duration": 431, "translated_title": "Monopolist optimizing price: Total revenue.", "translated_description_html": "Starting to think about how a monopolist would rationally optimize profits", "id": "526475273", "description_html": "Starting to think about how a monopolist would rationally optimize profits", "title": "Monopolist optimizing price: Total revenue.", "progress_key": "v526475273", "edit_slug": "edit/v/526475273", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Starting to think about how a monopolist would rationally optimize profits", "extra_properties": null, "node_slug": "v/monopolist-optimizing-price--part-1---total-revenue", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-01-26T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cczABrLd_uA.mp4/cczABrLd_uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cczABrLd_uA.mp4/cczABrLd_uA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cczABrLd_uA.m3u8/cczABrLd_uA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cczABrLd_uA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v526475273", "sha": "5c5b273e2d820a256f040536e75deb350091868b", "translated_description": "Starting to think about how a monopolist would rationally optimize profits", "image_url": "https://img.youtube.com/vi/cczABrLd_uA/hqdefault.jpg", "youtube_id": "cczABrLd_uA", "content_kind": "Video", "readable_id": "monopolist-optimizing-price--part-1---total-revenue"}, {"translated_youtube_id": "s1UQQELPyrc", "relative_url": "/video/monopolist-optimizing-price--part-2---marginal-revenue", "has_questions": false, "keywords": "microeconomics, monopoly", "ka_url": "http://www.khanacademy.org/video/monopolist-optimizing-price--part-2---marginal-revenue", "duration": 511, "translated_title": "Monopolist optimizing price: Marginal revenue", "translated_description_html": "Plotting the marginal revenue curve for a monopolist", "id": "526475275", "description_html": "Plotting the marginal revenue curve for a monopolist", "title": "Monopolist optimizing price: Marginal revenue", "progress_key": "v526475275", "edit_slug": "edit/v/526475275", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Plotting the marginal revenue curve for a monopolist", "extra_properties": null, "node_slug": "v/monopolist-optimizing-price--part-2---marginal-revenue", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-26T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s1UQQELPyrc.mp4/s1UQQELPyrc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s1UQQELPyrc.mp4/s1UQQELPyrc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s1UQQELPyrc.m3u8/s1UQQELPyrc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s1UQQELPyrc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v526475275", "sha": "51cbf228380fdf1ea24f68a19edf02b939cafe84", "translated_description": "Plotting the marginal revenue curve for a monopolist", "image_url": "https://img.youtube.com/vi/s1UQQELPyrc/hqdefault.jpg", "youtube_id": "s1UQQELPyrc", "content_kind": "Video", "readable_id": "monopolist-optimizing-price--part-2---marginal-revenue"}, {"translated_youtube_id": "daxL1ZLrUzg", "relative_url": "/video/monopolist-optimizing-price--part-3---dead-weight-loss-avi", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/monopolist-optimizing-price--part-3---dead-weight-loss-avi", "duration": 357, "translated_title": "Monopolist optimizing price: Dead weight loss", "translated_description_html": "Showing that what is optimal for the monopolist is not optimal for society", "id": "526475274", "description_html": "Showing that what is optimal for the monopolist is not optimal for society", "title": "Monopolist optimizing price: Dead weight loss", "progress_key": "v526475274", "edit_slug": "edit/v/526475274", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing that what is optimal for the monopolist is not optimal for society", "extra_properties": null, "node_slug": "v/monopolist-optimizing-price--part-3---dead-weight-loss-avi", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-26T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/daxL1ZLrUzg.mp4/daxL1ZLrUzg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/daxL1ZLrUzg.mp4/daxL1ZLrUzg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/daxL1ZLrUzg.m3u8/daxL1ZLrUzg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=daxL1ZLrUzg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v526475274", "sha": "843e94245db3ae0c2ffe62838cf7e5b159ca31b2", "translated_description": "Showing that what is optimal for the monopolist is not optimal for society", "image_url": "https://img.youtube.com/vi/daxL1ZLrUzg/hqdefault.jpg", "youtube_id": "daxL1ZLrUzg", "content_kind": "Video", "readable_id": "monopolist-optimizing-price--part-3---dead-weight-loss-avi"}, {"translated_youtube_id": "atI4QH2acuw", "relative_url": "/video/optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand", "duration": 296, "translated_title": "Optional calculus proof to show that MR has twice slope of demand", "translated_description_html": "Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist", "id": "526475276", "description_html": "Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist", "title": "Optional calculus proof to show that MR has twice slope of demand", "progress_key": "v526475276", "edit_slug": "edit/v/526475276", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist", "extra_properties": null, "node_slug": "v/optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-26T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/atI4QH2acuw.mp4/atI4QH2acuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/atI4QH2acuw.mp4/atI4QH2acuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/atI4QH2acuw.m3u8/atI4QH2acuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=atI4QH2acuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v526475276", "sha": "c004d8fff33696fcdbaa9d8a38af4ab228ec0f5c", "translated_description": "Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist", "image_url": "https://img.youtube.com/vi/atI4QH2acuw/hqdefault.jpg", "youtube_id": "atI4QH2acuw", "content_kind": "Video", "readable_id": "optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand"}, {"translated_youtube_id": "A_lV-XArVeE", "relative_url": "/video/review-of-revenue-and-cost-graphs-for-a-monopoly-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/review-of-revenue-and-cost-graphs-for-a-monopoly-1", "duration": 622, "translated_title": "Review of revenue and cost graphs for a monopoly", "translated_description_html": "", "id": "1266250654", "description_html": "", "title": "Review of revenue and cost graphs for a monopoly", "progress_key": "v1266250654", "edit_slug": "edit/v/1266250654", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": null, "node_slug": "v/review-of-revenue-and-cost-graphs-for-a-monopoly-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-04T17:28:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.mp4/A_lV-XArVeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.mp4/A_lV-XArVeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.m3u8/A_lV-XArVeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A_lV-XArVeE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1266250654", "sha": "5a2cbcddd4a26d46f7b4a90bb28ce5e39b61a16b", "translated_description": "", "image_url": "https://img.youtube.com/vi/A_lV-XArVeE/hqdefault.jpg", "youtube_id": "A_lV-XArVeE", "content_kind": "Video", "readable_id": "review-of-revenue-and-cost-graphs-for-a-monopoly-1"}], "twitter_url": "", "translated_description": "No, we aren't talking about the board game although the game does try to approximate what this tutorial is about--notice that you can charge more rent at either Boardwalk or Park Place if you own both (you have a \"monopoly\" in the navy blue market).\n\nThe opposite of perfect competition is when you have only one firm operating. This tutorial explores what this firm would do to maximize economic profit.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "No, we aren't talking about the board game although the game does try to approximate what this tutorial is about--notice that you can charge more rent at either Boardwalk or Park Place if you own both (you have a \"monopoly\" in the navy blue market).\n\nThe opposite of perfect competition is when you have only one firm operating. This tutorial explores what this firm would do to maximize economic profit.", "x_pos": 0.0, "node_slug": "monopolies-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1ea3627a", "topic_page_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial", "extended_slug": "economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial", "slug": "monopolies-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "758124907f9d363f86222923fd9103c3b4dbcc4b", "standalone_title": "Monopolies", "y_pos": 0.0, "current_revision_key": "758124907f9d363f86222923fd9103c3b4dbcc4b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop", "translated_standalone_title": "Between perfect competition and monopoly", "translated_title": "Between perfect competition and monopoly", "gplus_url": "", "id": "x9e434ffa", "old_key_name": "9VJqldM6dyNpsZsl-AL4ZbABI0pzArYlk3cBvaPX", "hide": false, "title": "Between perfect competition and monopoly", "child_data": [{"kind": "Video", "id": 529106152}, {"kind": "Video", "id": 541028299}, {"kind": "Video", "id": 531245092}], "children": [{"translated_youtube_id": "PzDthFTzEa0", "relative_url": "/video/oligopolies-and-monopolisitc-competition", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/oligopolies-and-monopolisitc-competition", "duration": 561, "translated_title": "Oligopolies and monopolistic competition", "translated_description_html": "Thinking about different markets that are in-between monopolies and perfect competition", "id": "529106152", "description_html": "Thinking about different markets that are in-between monopolies and perfect competition", "title": "Oligopolies and monopolistic competition", "progress_key": "v529106152", "edit_slug": "edit/v/529106152", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about different markets that are in-between monopolies and perfect competition", "extra_properties": null, "node_slug": "v/oligopolies-and-monopolisitc-competition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-27T11:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.m3u8/PzDthFTzEa0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PzDthFTzEa0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v529106152", "sha": "3937ca7cd981bd04ac2cb5fa65e9eb0ff7aa3a05", "translated_description": "Thinking about different markets that are in-between monopolies and perfect competition", "image_url": "https://img.youtube.com/vi/PzDthFTzEa0/hqdefault.jpg", "youtube_id": "PzDthFTzEa0", "content_kind": "Video", "readable_id": "oligopolies-and-monopolisitc-competition"}, {"translated_youtube_id": "RUVsEovktGU", "relative_url": "/video/monopolistic-competition-and-economic-profit", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/monopolistic-competition-and-economic-profit", "duration": 531, "translated_title": "Monopolistic competition and economic profit", "translated_description_html": "Why it is hard for a monopolisitc competitor to make economic profit in the long run", "id": "541028299", "description_html": "Why it is hard for a monopolisitc competitor to make economic profit in the long run", "title": "Monopolistic competition and economic profit", "progress_key": "v541028299", "edit_slug": "edit/v/541028299", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why it is hard for a monopolisitc competitor to make economic profit in the long run", "extra_properties": null, "node_slug": "v/monopolistic-competition-and-economic-profit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RUVsEovktGU.mp4/RUVsEovktGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RUVsEovktGU.mp4/RUVsEovktGU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RUVsEovktGU.m3u8/RUVsEovktGU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RUVsEovktGU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028299", "sha": "f39e53cffed496b3d886f89a0e97ed34a4150bd9", "translated_description": "Why it is hard for a monopolisitc competitor to make economic profit in the long run", "image_url": "https://img.youtube.com/vi/RUVsEovktGU/hqdefault.jpg", "youtube_id": "RUVsEovktGU", "content_kind": "Video", "readable_id": "monopolistic-competition-and-economic-profit"}, {"translated_youtube_id": "N0L00FZnhtg", "relative_url": "/video/oligopolies--duopolies--collusion--and-cartels", "has_questions": false, "keywords": "microeconomics, OPEC", "ka_url": "http://www.khanacademy.org/video/oligopolies--duopolies--collusion--and-cartels", "duration": 506, "translated_title": "Oligopolies, duopolies, collusion, and cartels", "translated_description_html": "Thinking about when oligopolies behave more like monopolies or perfect competitors", "id": "531245092", "description_html": "Thinking about when oligopolies behave more like monopolies or perfect competitors", "title": "Oligopolies, duopolies, collusion, and cartels", "progress_key": "v531245092", "edit_slug": "edit/v/531245092", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about when oligopolies behave more like monopolies or perfect competitors", "extra_properties": null, "node_slug": "v/oligopolies--duopolies--collusion--and-cartels", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-28T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N0L00FZnhtg.mp4/N0L00FZnhtg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N0L00FZnhtg.mp4/N0L00FZnhtg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N0L00FZnhtg.m3u8/N0L00FZnhtg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N0L00FZnhtg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v531245092", "sha": "16f3780572aaa6f3358f2f10234b3639f451bdc0", "translated_description": "Thinking about when oligopolies behave more like monopolies or perfect competitors", "image_url": "https://img.youtube.com/vi/N0L00FZnhtg/hqdefault.jpg", "youtube_id": "N0L00FZnhtg", "content_kind": "Video", "readable_id": "oligopolies--duopolies--collusion--and-cartels"}], "twitter_url": "", "translated_description": "Most markets sit somewhere in-between perfect competition and monopolies. This tutorial explores some of those scenarios--from monopolistic competition to oligopolies and duopolies.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most markets sit somewhere in-between perfect competition and monopolies. This tutorial explores some of those scenarios--from monopolistic competition to oligopolies and duopolies.", "x_pos": 0.0, "node_slug": "monopolistic-competition-oligop", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9e434ffa", "topic_page_url": "/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop", "extended_slug": "economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop", "slug": "monopolistic-competition-oligop", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "86486b58f9045098112c1cee798617f9b4e3803e", "standalone_title": "Between perfect competition and monopoly", "y_pos": 0.0, "current_revision_key": "86486b58f9045098112c1cee798617f9b4e3803e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "perfect-competition-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4e921a04", "topic_page_url": "/economics-finance-domain/microeconomics/perfect-competition-topic", "extended_slug": "economics-finance-domain/microeconomics/perfect-competition-topic", "slug": "perfect-competition-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "34f757db794c7278a750c5657b3a9f51f0e15dc8", "standalone_title": "Perfect and imperfect competition", "y_pos": 0.0, "current_revision_key": "34f757db794c7278a750c5657b3a9f51f0e15dc8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial", "translated_standalone_title": "Game theory and Nash equilibrium", "translated_title": "Game theory and Nash equilibrium", "gplus_url": "", "id": "x98f0ee09", "old_key_name": "SW8mHRwpWByL-qPUIGbm1aIGlhNDCRdZkxEF0VCo", "hide": false, "title": "Game theory and Nash equilibrium", "child_data": [{"kind": "Topic", "id": "x7ddeb5da"}, {"kind": "Topic", "id": "xdd95203a"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial", "translated_standalone_title": "Nash equilibrium", "translated_title": "Nash equilibrium", "gplus_url": "", "id": "x7ddeb5da", "old_key_name": "wc7tHAZ4f1ylgrLvIXyIgyBYA5IqxIZrLA-lL7UA", "hide": false, "title": "Nash equilibrium", "child_data": [{"kind": "Video", "id": 531245090}, {"kind": "Video", "id": 531245089}], "children": [{"translated_youtube_id": "UkXI-zPcDIM", "relative_url": "/video/prisoners--dilemma-and-nash-equilibrium", "has_questions": false, "keywords": "microeconomics, payoff, matrix", "ka_url": "http://www.khanacademy.org/video/prisoners--dilemma-and-nash-equilibrium", "duration": 561, "translated_title": "Prisoners' dilemma and Nash equilibrium", "translated_description_html": "Why two not-so-loyal criminals would want to snitch each other out", "id": "531245090", "description_html": "Why two not-so-loyal criminals would want to snitch each other out", "title": "Prisoners' dilemma and Nash equilibrium", "progress_key": "v531245090", "edit_slug": "edit/v/531245090", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why two not-so-loyal criminals would want to snitch each other out", "extra_properties": null, "node_slug": "v/prisoners--dilemma-and-nash-equilibrium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-28T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UkXI-zPcDIM.mp4/UkXI-zPcDIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UkXI-zPcDIM.mp4/UkXI-zPcDIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UkXI-zPcDIM.m3u8/UkXI-zPcDIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UkXI-zPcDIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v531245090", "sha": "7e6ea00039fa1d8d332195b349f2053fcd0eccb0", "translated_description": "Why two not-so-loyal criminals would want to snitch each other out", "image_url": "https://img.youtube.com/vi/UkXI-zPcDIM/hqdefault.jpg", "youtube_id": "UkXI-zPcDIM", "content_kind": "Video", "readable_id": "prisoners--dilemma-and-nash-equilibrium"}, {"translated_youtube_id": "ewu_7Dmj_18", "relative_url": "/video/more-on-nash-equilibrium", "has_questions": false, "keywords": "microeconomics, john, nash, prisoners, dilemma", "ka_url": "http://www.khanacademy.org/video/more-on-nash-equilibrium", "duration": 391, "translated_title": "More on Nash equilibrium", "translated_description_html": "Looking more closely at the definition of Nash Equilibrium", "id": "531245089", "description_html": "Looking more closely at the definition of Nash Equilibrium", "title": "More on Nash equilibrium", "progress_key": "v531245089", "edit_slug": "edit/v/531245089", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking more closely at the definition of Nash Equilibrium", "extra_properties": null, "node_slug": "v/more-on-nash-equilibrium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-28T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewu_7Dmj_18.mp4/ewu_7Dmj_18.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewu_7Dmj_18.mp4/ewu_7Dmj_18.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ewu_7Dmj_18.m3u8/ewu_7Dmj_18.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ewu_7Dmj_18&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v531245089", "sha": "ecdc40aab2d96ea402c0a7402fa9ba7c3baea244", "translated_description": "Looking more closely at the definition of Nash Equilibrium", "image_url": "https://img.youtube.com/vi/ewu_7Dmj_18/hqdefault.jpg", "youtube_id": "ewu_7Dmj_18", "content_kind": "Video", "readable_id": "more-on-nash-equilibrium"}], "twitter_url": "", "translated_description": "If you haven't watched the movie \"A Beautiful Mind\", you should. It is about John Nash (played by Russell Crowe) who won the Nobel Prize in economics for his foundational contributions to game theory. This is what this tutorial is about.\n\nNash put some structure around how players in a \"game\" can optimize their outcomes (if the movie is to be fully believed, this insight struck him when he realize that if all his friends hit on the most pretty girl, he should hit on the second-most pretty one). In this tutorial, we use the classic \"prisoner's dilemma\" to highlight this concept.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you haven't watched the movie \"A Beautiful Mind\", you should. It is about John Nash (played by Russell Crowe) who won the Nobel Prize in economics for his foundational contributions to game theory. This is what this tutorial is about.\n\nNash put some structure around how players in a \"game\" can optimize their outcomes (if the movie is to be fully believed, this insight struck him when he realize that if all his friends hit on the most pretty girl, he should hit on the second-most pretty one). In this tutorial, we use the classic \"prisoner's dilemma\" to highlight this concept.", "x_pos": 0.0, "node_slug": "nash-eq-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ddeb5da", "topic_page_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial", "extended_slug": "economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial", "slug": "nash-eq-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "41499461d135932b4b398f4264e57535096a4cc6", "standalone_title": "Nash equilibrium", "y_pos": 0.0, "current_revision_key": "41499461d135932b4b398f4264e57535096a4cc6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial", "translated_standalone_title": "Why parties in a cartel will cheat", "translated_title": "Why parties in a cartel will cheat", "gplus_url": "", "id": "xdd95203a", "old_key_name": "rHlFhUJwg3fq8b1G89i76q-jwsF6ylILZGFYpK_R", "hide": false, "title": "Why parties in a cartel will cheat", "child_data": [{"kind": "Video", "id": 541028297}, {"kind": "Video", "id": 541022390}], "children": [{"translated_youtube_id": "S6TvRDwgQag", "relative_url": "/video/why-parties-to-cartels-cheat", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/why-parties-to-cartels-cheat", "duration": 679, "translated_title": "Why parties to cartels cheat", "translated_description_html": "Why duopolists would benefit to form a cartel and why it makes sense for them to cheat", "id": "541028297", "description_html": "Why duopolists would benefit to form a cartel and why it makes sense for them to cheat", "title": "Why parties to cartels cheat", "progress_key": "v541028297", "edit_slug": "edit/v/541028297", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why duopolists would benefit to form a cartel and why it makes sense for them to cheat", "extra_properties": null, "node_slug": "v/why-parties-to-cartels-cheat", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6TvRDwgQag.mp4/S6TvRDwgQag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6TvRDwgQag.mp4/S6TvRDwgQag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S6TvRDwgQag.m3u8/S6TvRDwgQag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S6TvRDwgQag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541028297", "sha": "5e7aaaf1d901380718ba9ec671e60afa5537f697", "translated_description": "Why duopolists would benefit to form a cartel and why it makes sense for them to cheat", "image_url": "https://img.youtube.com/vi/S6TvRDwgQag/hqdefault.jpg", "youtube_id": "S6TvRDwgQag", "content_kind": "Video", "readable_id": "why-parties-to-cartels-cheat"}, {"translated_youtube_id": "XTMbRDRaviM", "relative_url": "/video/game-theory-of-cheating-firms", "has_questions": false, "keywords": "microeconomics", "ka_url": "http://www.khanacademy.org/video/game-theory-of-cheating-firms", "duration": 560, "translated_title": "Game theory of cheating firms", "translated_description_html": "Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma", "id": "541022390", "description_html": "Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma", "title": "Game theory of cheating firms", "progress_key": "v541022390", "edit_slug": "edit/v/541022390", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma", "extra_properties": null, "node_slug": "v/game-theory-of-cheating-firms", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-01T01:53:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XTMbRDRaviM.mp4/XTMbRDRaviM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XTMbRDRaviM.mp4/XTMbRDRaviM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XTMbRDRaviM.m3u8/XTMbRDRaviM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XTMbRDRaviM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v541022390", "sha": "2a838ec1c2e15265c17ef53eb8fcd9c9181b0091", "translated_description": "Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma", "image_url": "https://img.youtube.com/vi/XTMbRDRaviM/hqdefault.jpg", "youtube_id": "XTMbRDRaviM", "content_kind": "Video", "readable_id": "game-theory-of-cheating-firms"}], "twitter_url": "", "translated_description": "You know what Nash equilibrium is (from the other tutorial). Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating.\n\nA cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to maximize their collective economic profit. What we will see, however, is that this is not a \"Pareto optimal\" state and they will soon start producing more than agreed on.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know what Nash equilibrium is (from the other tutorial). Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating.\n\nA cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to maximize their collective economic profit. What we will see, however, is that this is not a \"Pareto optimal\" state and they will soon start producing more than agreed on.", "x_pos": 0.0, "node_slug": "cartels-cheat-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd95203a", "topic_page_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial", "extended_slug": "economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial", "slug": "cartels-cheat-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "6fcadc7dcc5540e3162799959bc5a5a64c4eb36d", "standalone_title": "Why parties in a cartel will cheat", "y_pos": 0.0, "current_revision_key": "6fcadc7dcc5540e3162799959bc5a5a64c4eb36d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "nash-equilibrium-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax98f0ee09", "topic_page_url": "/economics-finance-domain/microeconomics/nash-equilibrium-tutorial", "extended_slug": "economics-finance-domain/microeconomics/nash-equilibrium-tutorial", "slug": "nash-equilibrium-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "d11a60ca358036262024feb82ce329eb6ca1b0e1", "standalone_title": "Game theory and Nash equilibrium", "y_pos": 0.0, "current_revision_key": "d11a60ca358036262024feb82ce329eb6ca1b0e1", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Topics covered in a traditional college level introductory microeconomics course", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Topics covered in a traditional college level introductory microeconomics course", "x_pos": 0.0, "node_slug": "microeconomics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axaacaf77b", "topic_page_url": "/economics-finance-domain/microeconomics", "extended_slug": "economics-finance-domain/microeconomics", "slug": "microeconomics", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "55b09d7c76302c850e5032f85818b5efca26d0d0", "standalone_title": "Microeconomics", "y_pos": 0.0, "current_revision_key": "55b09d7c76302c850e5032f85818b5efca26d0d0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics", "translated_standalone_title": "Macroeconomics", "translated_title": "Macroeconomics", "gplus_url": "", "id": "xb796673d", "old_key_name": "UeUVWTaFmPWtcp92PsXYGpiU3evLpe2Vwr19Gta_", "hide": false, "title": "Macroeconomics", "child_data": [{"kind": "Topic", "id": "x9609cd6e"}, {"kind": "Topic", "id": "xde55f2b6"}, {"kind": "Topic", "id": "x5a26f530"}, {"kind": "Topic", "id": "xba092826"}, {"kind": "Topic", "id": "x9bf02cd2"}, {"kind": "Topic", "id": "xc30c12c0"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/gdp-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic", "translated_standalone_title": "GDP - measuring national income", "translated_title": "GDP: Measuring national income", "gplus_url": "", "id": "x9609cd6e", "old_key_name": "4szqJyniJgHak25bCC9Io2YmJgiof_zYr0hr6Zet", "hide": false, "title": "GDP: Measuring national income", "child_data": [{"kind": "Topic", "id": "x4d68fee2"}, {"kind": "Topic", "id": "xf77c6d98"}, {"kind": "Topic", "id": "x103b8fc5"}, {"kind": "Topic", "id": "xd70d7b87"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial", "translated_standalone_title": "Introduction to economics", "translated_title": "Introduction to economics", "gplus_url": "", "id": "x4d68fee2", "old_key_name": "kXr8PxiPnQVFUy3rHnDJjEX6Ef7DpIPv1R83czUH", "hide": false, "title": "Introduction to economics", "child_data": [{"kind": "Video", "id": 878129397}], "children": [{"translated_youtube_id": "8JYP_wU1JTU", "relative_url": "/video/introduction-to-economics", "has_questions": false, "keywords": "the, wealth, of, nations, macro, micro, economics, capitalism", "ka_url": "http://www.khanacademy.org/video/introduction-to-economics", "duration": 599, "translated_title": "Introduction to economics", "translated_description_html": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "id": "878129397", "description_html": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "title": "Introduction to economics", "progress_key": "v878129397", "edit_slug": "edit/v/878129397", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "extra_properties": null, "node_slug": "v/introduction-to-economics", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2012-06-29T00:49:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.mp4/8JYP_wU1JTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.mp4/8JYP_wU1JTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8JYP_wU1JTU.m3u8/8JYP_wU1JTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8JYP_wU1JTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878129397", "sha": "ec408b60a90b1ecfe967dd1d49995bc5b47d05d6", "translated_description": "Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith", "image_url": "https://img.youtube.com/vi/8JYP_wU1JTU/hqdefault.jpg", "youtube_id": "8JYP_wU1JTU", "content_kind": "Video", "readable_id": "introduction-to-economics"}], "twitter_url": "", "translated_description": "This very short tutorial gives us the big picture of what economics is all about and, in particular, compares macroeconomics (where you are now) to microeconomics.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This very short tutorial gives us the big picture of what economics is all about and, in particular, compares macroeconomics (where you are now) to microeconomics.", "x_pos": 0.0, "node_slug": "econ-intro-in-macro-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4d68fee2", "topic_page_url": "/economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial", "slug": "econ-intro-in-macro-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1eb89ab524882f5d51f0f441091dca0d73d47c01", "standalone_title": "Introduction to economics", "y_pos": 0.0, "current_revision_key": "1eb89ab524882f5d51f0f441091dca0d73d47c01", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial", "translated_standalone_title": "GDP and the circular flow of income and expenditures", "translated_title": "GDP and the circular flow of income and expenditures", "gplus_url": "", "id": "xf77c6d98", "old_key_name": "KZLwFmJdwZ8Hb0y_GRi4BhWc98386p1dGXyD7DPQ", "hide": false, "title": "GDP and the circular flow of income and expenditures", "child_data": [{"kind": "Video", "id": 544749483}, {"kind": "Video", "id": 544764168}, {"kind": "Video", "id": 544749482}], "children": [{"translated_youtube_id": "Hfz1bwK5C4o", "relative_url": "/video/circular-flow-of-income-and-expenditures", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/circular-flow-of-income-and-expenditures", "duration": 538, "translated_title": "Circular flow of income and expenditures", "translated_description_html": "Understanding the flow of resources in the simplest possible economy", "id": "544749483", "description_html": "Understanding the flow of resources in the simplest possible economy", "title": "Circular flow of income and expenditures", "progress_key": "v544749483", "edit_slug": "edit/v/544749483", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the flow of resources in the simplest possible economy", "extra_properties": null, "node_slug": "v/circular-flow-of-income-and-expenditures", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hfz1bwK5C4o.mp4/Hfz1bwK5C4o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hfz1bwK5C4o.mp4/Hfz1bwK5C4o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hfz1bwK5C4o.m3u8/Hfz1bwK5C4o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hfz1bwK5C4o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544749483", "sha": "1ca8eed9845bc512e0abaa27748c3b5b1bd7fddf", "translated_description": "Understanding the flow of resources in the simplest possible economy", "image_url": "https://img.youtube.com/vi/Hfz1bwK5C4o/hqdefault.jpg", "youtube_id": "Hfz1bwK5C4o", "content_kind": "Video", "readable_id": "circular-flow-of-income-and-expenditures"}, {"translated_youtube_id": "zh8XASZxo1Q", "relative_url": "/video/parsing-gross-domestic-product", "has_questions": false, "keywords": "macroeconomics, GNP, GDP", "ka_url": "http://www.khanacademy.org/video/parsing-gross-domestic-product", "duration": 719, "translated_title": "Parsing gross domestic product", "translated_description_html": "Understanding what GDP does and doesn't measure.", "id": "544764168", "description_html": "Understanding what GDP does and doesn't measure.", "title": "Parsing gross domestic product", "progress_key": "v544764168", "edit_slug": "edit/v/544764168", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding what GDP does and doesn't measure.", "extra_properties": null, "node_slug": "v/parsing-gross-domestic-product", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zh8XASZxo1Q.mp4/zh8XASZxo1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zh8XASZxo1Q.mp4/zh8XASZxo1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zh8XASZxo1Q.m3u8/zh8XASZxo1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zh8XASZxo1Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544764168", "sha": "ac374efe8b1439ae10f25271c4a3c843c5c1ffaf", "translated_description": "Understanding what GDP does and doesn't measure.", "image_url": "https://img.youtube.com/vi/zh8XASZxo1Q/hqdefault.jpg", "youtube_id": "zh8XASZxo1Q", "content_kind": "Video", "readable_id": "parsing-gross-domestic-product"}, {"translated_youtube_id": "C1pHvEAKmLA", "relative_url": "/video/more-on-final-and-intermediate-gdp-contributions", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/more-on-final-and-intermediate-gdp-contributions", "duration": 170, "translated_title": "More on final and intermediate GDP contributions", "translated_description_html": "What happens when a good is not finished in a period", "id": "544749482", "description_html": "What happens when a good is not finished in a period", "title": "More on final and intermediate GDP contributions", "progress_key": "v544749482", "edit_slug": "edit/v/544749482", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What happens when a good is not finished in a period", "extra_properties": null, "node_slug": "v/more-on-final-and-intermediate-gdp-contributions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C1pHvEAKmLA.mp4/C1pHvEAKmLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C1pHvEAKmLA.mp4/C1pHvEAKmLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C1pHvEAKmLA.m3u8/C1pHvEAKmLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C1pHvEAKmLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v544749482", "sha": "a30143dc28bcf850d465e8299c35ee61e8706b4a", "translated_description": "What happens when a good is not finished in a period", "image_url": "https://img.youtube.com/vi/C1pHvEAKmLA/hqdefault.jpg", "youtube_id": "C1pHvEAKmLA", "content_kind": "Video", "readable_id": "more-on-final-and-intermediate-gdp-contributions"}], "twitter_url": "", "translated_description": "Economics can some times get confusing because one person's expenditure is another person's income which can then be used for expenditure and on and on and on. Seems very circular. It is.\n\nThis tutorial helps us grapple with this and introduces us to the primary tool economists use to measure a nations productivity/income/expenditure--GDP (gross domestic product).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Economics can some times get confusing because one person's expenditure is another person's income which can then be used for expenditure and on and on and on. Seems very circular. It is.\n\nThis tutorial helps us grapple with this and introduces us to the primary tool economists use to measure a nations productivity/income/expenditure--GDP (gross domestic product).", "x_pos": 0.0, "node_slug": "circular-econ-gdp-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf77c6d98", "topic_page_url": "/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial", "slug": "circular-econ-gdp-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "982cec159657d3391e2de3ecbe7542e36004de46", "standalone_title": "GDP and the circular flow of income and expenditures", "y_pos": 0.0, "current_revision_key": "982cec159657d3391e2de3ecbe7542e36004de46", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial", "translated_standalone_title": "Components of GDP", "translated_title": "Components of GDP", "gplus_url": "", "id": "x103b8fc5", "old_key_name": "r72ybCiaUrHnNElFm2uW7VsjgCwaWicabxD-4dND", "hide": false, "title": "Components of GDP", "child_data": [{"kind": "Video", "id": 575644951}, {"kind": "Video", "id": 575652928}, {"kind": "Video", "id": 575808122}, {"kind": "Video", "id": 575644967}], "children": [{"translated_youtube_id": "N9VIsauE0RA", "relative_url": "/video/investment-and-consumption", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/investment-and-consumption", "duration": 452, "translated_title": "Investment and consumption", "translated_description_html": "Difference between every day and economic notions of investment and consumption", "id": "575644951", "description_html": "Difference between every day and economic notions of investment and consumption", "title": "Investment and consumption", "progress_key": "v575644951", "edit_slug": "edit/v/575644951", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Difference between every day and economic notions of investment and consumption", "extra_properties": null, "node_slug": "v/investment-and-consumption", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:15:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N9VIsauE0RA.mp4/N9VIsauE0RA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N9VIsauE0RA.mp4/N9VIsauE0RA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N9VIsauE0RA.m3u8/N9VIsauE0RA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N9VIsauE0RA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575644951", "sha": "1d126aafc20549ced888a6b4d2a85e91fb2c532f", "translated_description": "Difference between every day and economic notions of investment and consumption", "image_url": "https://img.youtube.com/vi/N9VIsauE0RA/hqdefault.jpg", "youtube_id": "N9VIsauE0RA", "content_kind": "Video", "readable_id": "investment-and-consumption"}, {"translated_youtube_id": "Z9b8nnvpim0", "relative_url": "/video/income-and-expenditure-views-of-gdp", "has_questions": false, "keywords": "macroeconomics, Gross Domestic Product", "ka_url": "http://www.khanacademy.org/video/income-and-expenditure-views-of-gdp", "duration": 289, "translated_title": "Income and expenditure views of GDP", "translated_description_html": "Looking at a simple model of an economy", "id": "575652928", "description_html": "Looking at a simple model of an economy", "title": "Income and expenditure views of GDP", "progress_key": "v575652928", "edit_slug": "edit/v/575652928", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Looking at a simple model of an economy", "extra_properties": null, "node_slug": "v/income-and-expenditure-views-of-gdp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:15:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z9b8nnvpim0.mp4/Z9b8nnvpim0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z9b8nnvpim0.mp4/Z9b8nnvpim0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z9b8nnvpim0.m3u8/Z9b8nnvpim0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z9b8nnvpim0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575652928", "sha": "c46b10ef8a140f438f94d6cea75fc91b8d765838", "translated_description": "Looking at a simple model of an economy", "image_url": "https://img.youtube.com/vi/Z9b8nnvpim0/hqdefault.jpg", "youtube_id": "Z9b8nnvpim0", "content_kind": "Video", "readable_id": "income-and-expenditure-views-of-gdp"}, {"translated_youtube_id": "Rgr1vRjxzFg", "relative_url": "/video/components-of-gdp", "has_questions": false, "keywords": "macroeconomics, Gross Domestic Product", "ka_url": "http://www.khanacademy.org/video/components-of-gdp", "duration": 298, "translated_title": "Components of GDP", "translated_description_html": "Understanding the components of the expenditure view of GDP. Consumption, investment, government spending and net exports", "id": "575808122", "description_html": "Understanding the components of the expenditure view of GDP. Consumption, investment, government spending and net exports", "title": "Components of GDP", "progress_key": "v575808122", "edit_slug": "edit/v/575808122", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the components of the expenditure view of GDP. Consumption, investment, government spending and net exports", "extra_properties": null, "node_slug": "v/components-of-gdp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rgr1vRjxzFg.mp4/Rgr1vRjxzFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rgr1vRjxzFg.mp4/Rgr1vRjxzFg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rgr1vRjxzFg.m3u8/Rgr1vRjxzFg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rgr1vRjxzFg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575808122", "sha": "dd795e9fe77c3d1aeab5d1a3f900604414fe64cc", "translated_description": "Understanding the components of the expenditure view of GDP. Consumption, investment, government spending and net exports", "image_url": "https://img.youtube.com/vi/Rgr1vRjxzFg/hqdefault.jpg", "youtube_id": "Rgr1vRjxzFg", "content_kind": "Video", "readable_id": "components-of-gdp"}, {"translated_youtube_id": "BMNj7-Okclk", "relative_url": "/video/examples-of-accounting-for-gdp", "has_questions": false, "keywords": "macroeconomics, Gross Domestic Product", "ka_url": "http://www.khanacademy.org/video/examples-of-accounting-for-gdp", "duration": 357, "translated_title": "Examples of accounting for GDP", "translated_description_html": "Thinking about how different types of expenditures would be accounted for in GDP", "id": "575644967", "description_html": "Thinking about how different types of expenditures would be accounted for in GDP", "title": "Examples of accounting for GDP", "progress_key": "v575644967", "edit_slug": "edit/v/575644967", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how different types of expenditures would be accounted for in GDP", "extra_properties": null, "node_slug": "v/examples-of-accounting-for-gdp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:16:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BMNj7-Okclk.mp4/BMNj7-Okclk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BMNj7-Okclk.mp4/BMNj7-Okclk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BMNj7-Okclk.m3u8/BMNj7-Okclk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BMNj7-Okclk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575644967", "sha": "e551d5d86548a508847c81fd4620c28200be52a6", "translated_description": "Thinking about how different types of expenditures would be accounted for in GDP", "image_url": "https://img.youtube.com/vi/BMNj7-Okclk/hqdefault.jpg", "youtube_id": "BMNj7-Okclk", "content_kind": "Video", "readable_id": "examples-of-accounting-for-gdp"}], "twitter_url": "", "translated_description": "You already understand the circular nature of the economy and how GDP is defined from the last tutorial. Now let's think about how economists define the composition of GDP. In particular, we'll focus on consumption (C), investment (I), government spending (G) and net exports.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You already understand the circular nature of the economy and how GDP is defined from the last tutorial. Now let's think about how economists define the composition of GDP. In particular, we'll focus on consumption (C), investment (I), government spending (G) and net exports.", "x_pos": 0.0, "node_slug": "GDP-components-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax103b8fc5", "topic_page_url": "/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial", "slug": "GDP-components-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3e1471f9b441d4069af70f27ba64b6c5252e25a6", "standalone_title": "Components of GDP", "y_pos": 0.0, "current_revision_key": "3e1471f9b441d4069af70f27ba64b6c5252e25a6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial", "translated_standalone_title": "Real and nominal GDP", "translated_title": "Real and nominal GDP", "gplus_url": "", "id": "xd70d7b87", "old_key_name": "xwWwIP2xawBzljPG1CtKbVM63zS3Gr4DrbHA9VN4", "hide": false, "title": "Real and nominal GDP", "child_data": [{"kind": "Video", "id": 575686801}, {"kind": "Video", "id": 575750454}, {"kind": "Video", "id": 575654968}], "children": [{"translated_youtube_id": "lBDT2w5Wl84", "relative_url": "/video/real-gdp-and-nominal-gdp", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/real-gdp-and-nominal-gdp", "duration": 484, "translated_title": "Real GDP and nominal GDP", "translated_description_html": "Using real GDP as a measure of actual productivity growth", "id": "575686801", "description_html": "Using real GDP as a measure of actual productivity growth", "title": "Real GDP and nominal GDP", "progress_key": "v575686801", "edit_slug": "edit/v/575686801", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using real GDP as a measure of actual productivity growth", "extra_properties": null, "node_slug": "v/real-gdp-and-nominal-gdp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:17:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.mp4/lBDT2w5Wl84.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.mp4/lBDT2w5Wl84.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.m3u8/lBDT2w5Wl84.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lBDT2w5Wl84&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575686801", "sha": "f255ec63338986367bf362945f31e8d1101fcd70", "translated_description": "Using real GDP as a measure of actual productivity growth", "image_url": "https://img.youtube.com/vi/lBDT2w5Wl84/hqdefault.jpg", "youtube_id": "lBDT2w5Wl84", "content_kind": "Video", "readable_id": "real-gdp-and-nominal-gdp"}, {"translated_youtube_id": "L-0LuSw2bTM", "relative_url": "/video/gdp-deflator", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/gdp-deflator", "duration": 388, "translated_title": "GDP deflator", "translated_description_html": "Relationship between the GDP deflator, nominal GDP and real GDP", "id": "575750454", "description_html": "Relationship between the GDP deflator, nominal GDP and real GDP", "title": "GDP deflator", "progress_key": "v575750454", "edit_slug": "edit/v/575750454", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Relationship between the GDP deflator, nominal GDP and real GDP", "extra_properties": null, "node_slug": "v/gdp-deflator", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:17:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L-0LuSw2bTM.mp4/L-0LuSw2bTM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L-0LuSw2bTM.mp4/L-0LuSw2bTM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L-0LuSw2bTM.m3u8/L-0LuSw2bTM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L-0LuSw2bTM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575750454", "sha": "74bca546bbfdae37ec2d4f6fe7171312cba01692", "translated_description": "Relationship between the GDP deflator, nominal GDP and real GDP", "image_url": "https://img.youtube.com/vi/L-0LuSw2bTM/hqdefault.jpg", "youtube_id": "L-0LuSw2bTM", "content_kind": "Video", "readable_id": "gdp-deflator"}, {"translated_youtube_id": "v5YT8GlSxoU", "relative_url": "/video/example-calculating-real-gdp-with-a-deflator", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/example-calculating-real-gdp-with-a-deflator", "duration": 339, "translated_title": "Example calculating real GDP with a deflator", "translated_description_html": "Simple example of calculating Real GDP from Nominal GDP", "id": "575654968", "description_html": "Simple example of calculating Real GDP from Nominal GDP", "title": "Example calculating real GDP with a deflator", "progress_key": "v575654968", "edit_slug": "edit/v/575654968", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Simple example of calculating Real GDP from Nominal GDP", "extra_properties": null, "node_slug": "v/example-calculating-real-gdp-with-a-deflator", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:18:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.mp4/v5YT8GlSxoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.mp4/v5YT8GlSxoU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.m3u8/v5YT8GlSxoU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v5YT8GlSxoU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575654968", "sha": "59652ad8b19cf02032f1472b3917a2bbceab9935", "translated_description": "Simple example of calculating Real GDP from Nominal GDP", "image_url": "https://img.youtube.com/vi/v5YT8GlSxoU/hqdefault.jpg", "youtube_id": "v5YT8GlSxoU", "content_kind": "Video", "readable_id": "example-calculating-real-gdp-with-a-deflator"}], "twitter_url": "", "translated_description": "The value of a currency is constantly changing (usually going down in terms of what you can buy). Given this, how can we compare GDP measured in dollars in one year to another year? This tutorial answers that question by introducing you to real GDP and GDP deflators.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The value of a currency is constantly changing (usually going down in terms of what you can buy). Given this, how can we compare GDP measured in dollars in one year to another year? This tutorial answers that question by introducing you to real GDP and GDP deflators.", "x_pos": 0.0, "node_slug": "real-nominal-gdp-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd70d7b87", "topic_page_url": "/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial", "slug": "real-nominal-gdp-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0b20df4a76dde0a0843a2d3f023e4204c93b583f", "standalone_title": "Real and nominal GDP", "y_pos": 0.0, "current_revision_key": "0b20df4a76dde0a0843a2d3f023e4204c93b583f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Circular flow of income and expenditure. Gross domestic product.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Circular flow of income and expenditure. Gross domestic product.", "x_pos": 0.0, "node_slug": "gdp-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9609cd6e", "topic_page_url": "/economics-finance-domain/macroeconomics/gdp-topic", "extended_slug": "economics-finance-domain/macroeconomics/gdp-topic", "slug": "gdp-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1125e95aa192ac34e5e9368e9f5ef84908ac4aa7", "standalone_title": "GDP - measuring national income", "y_pos": 0.0, "current_revision_key": "1125e95aa192ac34e5e9368e9f5ef84908ac4aa7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic", "translated_standalone_title": "Inflation - measuring the cost of living", "translated_title": "Inflation - measuring the cost of living", "gplus_url": "", "id": "xde55f2b6", "old_key_name": "nY02A8mz9USUIC52TgONxhLlDC1eWcxYvKmAWhJ9", "hide": false, "title": "Inflation - measuring the cost of living", "child_data": [{"kind": "Topic", "id": "x24ca4b8b"}, {"kind": "Topic", "id": "x4dbedff0"}, {"kind": "Topic", "id": "xf379f77d"}, {"kind": "Topic", "id": "x9955e0d0"}, {"kind": "Topic", "id": "x56be3c9a"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic/cost-of-living-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/cost-of-living-tutorial", "translated_standalone_title": "Measuring cost of living --inflation and the consumer price index", "translated_title": "Measuring cost of living --inflation and the consumer price index", "gplus_url": "", "id": "x24ca4b8b", "old_key_name": "pcTkQOYoRBUnSMluWKrQsmHUDLjMLogCmPlfq1SC", "hide": false, "title": "Measuring cost of living --inflation and the consumer price index", "child_data": [{"kind": "Video", "id": 575703733}, {"kind": "Video", "id": 575694762}, {"kind": "Video", "id": 167407349}], "children": [{"translated_youtube_id": "AaR1mPrdbTc", "relative_url": "/video/introduction-to-inflation", "has_questions": false, "keywords": "macroeconomics, CPI", "ka_url": "http://www.khanacademy.org/video/introduction-to-inflation", "duration": 452, "translated_title": "Introduction to inflation", "translated_description_html": "Basics of price inflation and the CPI (consumer price index)", "id": "575703733", "description_html": "Basics of price inflation and the CPI (consumer price index)", "title": "Introduction to inflation", "progress_key": "v575703733", "edit_slug": "edit/v/575703733", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of price inflation and the CPI (consumer price index)", "extra_properties": null, "node_slug": "v/introduction-to-inflation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:18:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AaR1mPrdbTc.mp4/AaR1mPrdbTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AaR1mPrdbTc.mp4/AaR1mPrdbTc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AaR1mPrdbTc.m3u8/AaR1mPrdbTc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AaR1mPrdbTc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575703733", "sha": "f47d0f74258c5d3e3599b0acbb098613b9949432", "translated_description": "Basics of price inflation and the CPI (consumer price index)", "image_url": "https://img.youtube.com/vi/AaR1mPrdbTc/hqdefault.jpg", "youtube_id": "AaR1mPrdbTc", "content_kind": "Video", "readable_id": "introduction-to-inflation"}, {"translated_youtube_id": "-JTw7gNwT6Y", "relative_url": "/video/actual-cpi-u-basket-of-goods", "has_questions": false, "keywords": "macroeconomics, inflation", "ka_url": "http://www.khanacademy.org/video/actual-cpi-u-basket-of-goods", "duration": 448, "translated_title": "Actual CPI-U basket of goods", "translated_description_html": "Exploring the actual weightings for the CPI-U basket of goods", "id": "575694762", "description_html": "Exploring the actual weightings for the CPI-U basket of goods", "title": "Actual CPI-U basket of goods", "progress_key": "v575694762", "edit_slug": "edit/v/575694762", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Exploring the actual weightings for the CPI-U basket of goods", "extra_properties": null, "node_slug": "v/actual-cpi-u-basket-of-goods", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-02-14T19:19:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-JTw7gNwT6Y.mp4/-JTw7gNwT6Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-JTw7gNwT6Y.mp4/-JTw7gNwT6Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-JTw7gNwT6Y.m3u8/-JTw7gNwT6Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-JTw7gNwT6Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575694762", "sha": "92c6553ff1018a718f09294f690bdc216de4d5f6", "translated_description": "Exploring the actual weightings for the CPI-U basket of goods", "image_url": "https://img.youtube.com/vi/-JTw7gNwT6Y/hqdefault.jpg", "youtube_id": "-JTw7gNwT6Y", "content_kind": "Video", "readable_id": "actual-cpi-u-basket-of-goods"}, {"translated_youtube_id": "DK1lCc9b7bg", "relative_url": "/video/inflation-data", "has_questions": false, "keywords": "finance, inflation", "ka_url": "http://www.khanacademy.org/video/inflation-data", "duration": 210, "translated_title": "Inflation data", "translated_description_html": "Looking at actual sequential and year-over-year inflation data", "id": "167407349", "description_html": "Looking at actual sequential and year-over-year inflation data", "title": "Inflation data", "progress_key": "v167407349", "edit_slug": "edit/v/167407349", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking at actual sequential and year-over-year inflation data", "extra_properties": null, "node_slug": "v/inflation-data", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.m3u8/DK1lCc9b7bg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DK1lCc9b7bg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407349", "sha": "90d6baf29e00f6eaf606e60fb86797f000aef0e0", "translated_description": "Looking at actual sequential and year-over-year inflation data", "image_url": "https://img.youtube.com/vi/DK1lCc9b7bg/hqdefault.jpg", "youtube_id": "DK1lCc9b7bg", "content_kind": "Video", "readable_id": "inflation-data"}], "twitter_url": "", "translated_description": "We might generally sense that our cost of living is going up (inflation), but how can we measure it? This tutorial shows how it is done in the United States with the consumer price index (CPI).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We might generally sense that our cost of living is going up (inflation), but how can we measure it? This tutorial shows how it is done in the United States with the consumer price index (CPI).", "x_pos": 0.0, "node_slug": "cost-of-living-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax24ca4b8b", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic/cost-of-living-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic/cost-of-living-tutorial", "slug": "cost-of-living-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "47b10b028e94e6caf52ea087521ef04b3bb65390", "standalone_title": "Measuring cost of living --inflation and the consumer price index", "y_pos": 0.0, "current_revision_key": "47b10b028e94e6caf52ea087521ef04b3bb65390", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic/real-nominal-return-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/real-nominal-return-tutorial", "translated_standalone_title": "Real and nominal return", "translated_title": "Real and nominal return", "gplus_url": "", "id": "x4dbedff0", "old_key_name": "fTMXnsVom4-hP22mQVKJO-17wMp6t_8D1WI5yTgk", "hide": false, "title": "Real and nominal return", "child_data": [{"kind": "Video", "id": 167407357}, {"kind": "Video", "id": 167407353}, {"kind": "Video", "id": 167407352}], "children": [{"translated_youtube_id": "cNm196bVE5A", "relative_url": "/video/real-and-nominal-return", "has_questions": false, "keywords": "finance, inflation", "ka_url": "http://www.khanacademy.org/video/real-and-nominal-return", "duration": 190, "translated_title": "Real and nominal return", "translated_description_html": "Inflation and real and nominal return", "id": "167407357", "description_html": "Inflation and real and nominal return", "title": "Real and nominal return", "progress_key": "v167407357", "edit_slug": "edit/v/167407357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inflation and real and nominal return", "extra_properties": null, "node_slug": "v/real-and-nominal-return", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.m3u8/cNm196bVE5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cNm196bVE5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407357", "sha": "1b8c7e4888e3971b2cc2e6ef03760b706b161ed3", "translated_description": "Inflation and real and nominal return", "image_url": "https://img.youtube.com/vi/cNm196bVE5A/hqdefault.jpg", "youtube_id": "cNm196bVE5A", "content_kind": "Video", "readable_id": "real-and-nominal-return"}, {"translated_youtube_id": "GiB9Mkgkrek", "relative_url": "/video/calculating-real-return-in-last-year-dollars", "has_questions": false, "keywords": "finance, inflation, discount, rate, real, nominal, return", "ka_url": "http://www.khanacademy.org/video/calculating-real-return-in-last-year-dollars", "duration": 170, "translated_title": "Calculating real return in last year dollars", "translated_description_html": "Calculating real return in last year dollars", "id": "167407353", "description_html": "Calculating real return in last year dollars", "title": "Calculating real return in last year dollars", "progress_key": "v167407353", "edit_slug": "edit/v/167407353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating real return in last year dollars", "extra_properties": null, "node_slug": "v/calculating-real-return-in-last-year-dollars", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.m3u8/GiB9Mkgkrek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GiB9Mkgkrek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407353", "sha": "889d1e95e23dc5228483bcc0a96774733e570b9a", "translated_description": "Calculating real return in last year dollars", "image_url": "https://img.youtube.com/vi/GiB9Mkgkrek/hqdefault.jpg", "youtube_id": "GiB9Mkgkrek", "content_kind": "Video", "readable_id": "calculating-real-return-in-last-year-dollars"}, {"translated_youtube_id": "6ycEasF48zI", "relative_url": "/video/relation-between-nominal-and-real-returns-and-inflation", "has_questions": false, "keywords": "finance, real, return, inflation, nominal", "ka_url": "http://www.khanacademy.org/video/relation-between-nominal-and-real-returns-and-inflation", "duration": 225, "translated_title": "Relation between nominal and real returns and inflation", "translated_description_html": "Relation between nominal and real returns and inflation", "id": "167407352", "description_html": "Relation between nominal and real returns and inflation", "title": "Relation between nominal and real returns and inflation", "progress_key": "v167407352", "edit_slug": "edit/v/167407352", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Relation between nominal and real returns and inflation", "extra_properties": null, "node_slug": "v/relation-between-nominal-and-real-returns-and-inflation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.m3u8/6ycEasF48zI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6ycEasF48zI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407352", "sha": "90068d09a9e09a8c810a3917a5aef177fe435226", "translated_description": "Relation between nominal and real returns and inflation", "image_url": "https://img.youtube.com/vi/6ycEasF48zI/hqdefault.jpg", "youtube_id": "6ycEasF48zI", "content_kind": "Video", "readable_id": "relation-between-nominal-and-real-returns-and-inflation"}], "twitter_url": "", "translated_description": "We think we're getting a certain return on our investments, but can we put it in terms of real purchasing power since the value of money is constantly changing? The answer is yes and this tutorial shows you how.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We think we're getting a certain return on our investments, but can we put it in terms of real purchasing power since the value of money is constantly changing? The answer is yes and this tutorial shows you how.", "x_pos": 0.0, "node_slug": "real-nominal-return-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4dbedff0", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic/real-nominal-return-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic/real-nominal-return-tutorial", "slug": "real-nominal-return-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "36d18950ad4708bc54632a3669ea4764bc576fed", "standalone_title": "Real and nominal return", "y_pos": 0.0, "current_revision_key": "36d18950ad4708bc54632a3669ea4764bc576fed", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic/macroecon-deflation-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/macroecon-deflation-tutorial", "translated_standalone_title": "deflation", "translated_title": "Deflation", "gplus_url": "", "id": "xf379f77d", "old_key_name": "F1atSoLc-1OFZF44UoyVoG8CuHCTuUlQqs7Id0kl", "hide": false, "title": "Deflation", "child_data": [{"kind": "Video", "id": 167407358}, {"kind": "Video", "id": 167407355}, {"kind": "Video", "id": 167407350}], "children": [{"translated_youtube_id": "FPh6EDv0Eew", "relative_url": "/video/deflation", "has_questions": false, "keywords": "finance, deflation", "ka_url": "http://www.khanacademy.org/video/deflation", "duration": 190, "translated_title": "Deflation", "translated_description_html": "Basics of deflation", "id": "167407358", "description_html": "Basics of deflation", "title": "Deflation", "progress_key": "v167407358", "edit_slug": "edit/v/167407358", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics of deflation", "extra_properties": null, "node_slug": "v/deflation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.m3u8/FPh6EDv0Eew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FPh6EDv0Eew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407358", "sha": "46065f9d2b3a2bd0785abe238de12f7d95226f35", "translated_description": "Basics of deflation", "image_url": "https://img.youtube.com/vi/FPh6EDv0Eew/hqdefault.jpg", "youtube_id": "FPh6EDv0Eew", "content_kind": "Video", "readable_id": "deflation"}, {"translated_youtube_id": "stfSnPaaK04", "relative_url": "/video/velocity-of-money-rather-than-quantity-driving-prices", "has_questions": false, "keywords": "finance, economics", "ka_url": "http://www.khanacademy.org/video/velocity-of-money-rather-than-quantity-driving-prices", "duration": 211, "translated_title": "Velocity of money rather than quantity driving prices", "translated_description_html": "How velocity of money can drive price increases", "id": "167407355", "description_html": "How velocity of money can drive price increases", "title": "Velocity of money rather than quantity driving prices", "progress_key": "v167407355", "edit_slug": "edit/v/167407355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How velocity of money can drive price increases", "extra_properties": null, "node_slug": "v/velocity-of-money-rather-than-quantity-driving-prices", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.m3u8/stfSnPaaK04.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=stfSnPaaK04&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407355", "sha": "3048f2f2548538db37ed167505b49e62384d38fa", "translated_description": "How velocity of money can drive price increases", "image_url": "https://img.youtube.com/vi/stfSnPaaK04/hqdefault.jpg", "youtube_id": "stfSnPaaK04", "content_kind": "Video", "readable_id": "velocity-of-money-rather-than-quantity-driving-prices"}, {"translated_youtube_id": "t2AeULH_Ijw", "relative_url": "/video/deflation-despite-increases-in-money-supply", "has_questions": false, "keywords": "deflation, inflation, japan", "ka_url": "http://www.khanacademy.org/video/deflation-despite-increases-in-money-supply", "duration": 244, "translated_title": "Deflation despite increases in money supply", "translated_description_html": "How you can have deflation even if the money supply increases", "id": "167407350", "description_html": "How you can have deflation even if the money supply increases", "title": "Deflation despite increases in money supply", "progress_key": "v167407350", "edit_slug": "edit/v/167407350", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How you can have deflation even if the money supply increases", "extra_properties": null, "node_slug": "v/deflation-despite-increases-in-money-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.m3u8/t2AeULH_Ijw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t2AeULH_Ijw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407350", "sha": "44123453791b3186df59fa668c38a113c4b597c3", "translated_description": "How you can have deflation even if the money supply increases", "image_url": "https://img.youtube.com/vi/t2AeULH_Ijw/hqdefault.jpg", "youtube_id": "t2AeULH_Ijw", "content_kind": "Video", "readable_id": "deflation-despite-increases-in-money-supply"}], "twitter_url": "", "translated_description": "Prices don't always go up. Sometimes they go down (we call this deflation). This tutorial explains how this happens.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Prices don't always go up. Sometimes they go down (we call this deflation). This tutorial explains how this happens.", "x_pos": 0.0, "node_slug": "macroecon-deflation-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf379f77d", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic/macroecon-deflation-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic/macroecon-deflation-tutorial", "slug": "macroecon-deflation-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "46c795b4e2622b90bc0c23e10aca3573affee9ae", "standalone_title": "deflation", "y_pos": 0.0, "current_revision_key": "46c795b4e2622b90bc0c23e10aca3573affee9ae", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial", "translated_standalone_title": "Inflationary and deflationary scenarios", "translated_title": "Inflationary and deflationary scenarios", "gplus_url": "", "id": "x9955e0d0", "old_key_name": "pERP8ZWn660pEP1Gs4SZrBewo9e8rrCPfzZhkYF8", "hide": false, "title": "Inflationary and deflationary scenarios", "child_data": [{"kind": "Video", "id": 167407356}, {"kind": "Video", "id": 167407351}, {"kind": "Video", "id": 172846852}, {"kind": "Video", "id": 172846853}], "children": [{"translated_youtube_id": "Z_DcXewHHA8", "relative_url": "/video/moderate-inflation-in-a-good-economy", "has_questions": false, "keywords": "inflation, deflation, economic, cycles", "ka_url": "http://www.khanacademy.org/video/moderate-inflation-in-a-good-economy", "duration": 175, "translated_title": "Moderate inflation in a good economy", "translated_description_html": "Why there tends to be moderate inflation during good economies", "id": "167407356", "description_html": "Why there tends to be moderate inflation during good economies", "title": "Moderate inflation in a good economy", "progress_key": "v167407356", "edit_slug": "edit/v/167407356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why there tends to be moderate inflation during good economies", "extra_properties": null, "node_slug": "v/moderate-inflation-in-a-good-economy", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.mp4/Z_DcXewHHA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.mp4/Z_DcXewHHA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.m3u8/Z_DcXewHHA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z_DcXewHHA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407356", "sha": "378a1d4d7d7d3b405ac3d38a7b13dc372d9e452b", "translated_description": "Why there tends to be moderate inflation during good economies", "image_url": "https://img.youtube.com/vi/Z_DcXewHHA8/hqdefault.jpg", "youtube_id": "Z_DcXewHHA8", "content_kind": "Video", "readable_id": "moderate-inflation-in-a-good-economy"}, {"translated_youtube_id": "bTz_tx460EY", "relative_url": "/video/stagflation", "has_questions": false, "keywords": "inflation, deflation, stagnation, finance", "ka_url": "http://www.khanacademy.org/video/stagflation", "duration": 176, "translated_title": "Stagflation", "translated_description_html": "How a supply shock can cause prices to rise and the economy to stagnate", "id": "167407351", "description_html": "How a supply shock can cause prices to rise and the economy to stagnate", "title": "Stagflation", "progress_key": "v167407351", "edit_slug": "edit/v/167407351", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a supply shock can cause prices to rise and the economy to stagnate", "extra_properties": null, "node_slug": "v/stagflation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.m3u8/bTz_tx460EY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bTz_tx460EY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407351", "sha": "0af40feaef56da6b3cb27350347012deaf9cabb7", "translated_description": "How a supply shock can cause prices to rise and the economy to stagnate", "image_url": "https://img.youtube.com/vi/bTz_tx460EY/hqdefault.jpg", "youtube_id": "bTz_tx460EY", "content_kind": "Video", "readable_id": "stagflation"}, {"translated_youtube_id": "snX4Wf7PGts", "relative_url": "/video/deflationary-spiral", "has_questions": false, "keywords": "finance, depression", "ka_url": "http://www.khanacademy.org/video/deflationary-spiral", "duration": 231, "translated_title": "Deflationary spiral", "translated_description_html": "Basics of a deflationary spiral", "id": "172846852", "description_html": "Basics of a deflationary spiral", "title": "Deflationary spiral", "progress_key": "v172846852", "edit_slug": "edit/v/172846852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics of a deflationary spiral", "extra_properties": null, "node_slug": "v/deflationary-spiral", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-25T23:26:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.m3u8/snX4Wf7PGts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=snX4Wf7PGts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v172846852", "sha": "7564994c1b274dbb2027f43b008fe68a9d8ac5e0", "translated_description": "Basics of a deflationary spiral", "image_url": "https://img.youtube.com/vi/snX4Wf7PGts/hqdefault.jpg", "youtube_id": "snX4Wf7PGts", "content_kind": "Video", "readable_id": "deflationary-spiral"}, {"translated_youtube_id": "AC_kjcuHpZw", "relative_url": "/video/hyperinflation", "has_questions": false, "keywords": "Zimbabwe, spiral, finance", "ka_url": "http://www.khanacademy.org/video/hyperinflation", "duration": 242, "translated_title": "Hyperinflation", "translated_description_html": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "id": "172846853", "description_html": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "title": "Hyperinflation", "progress_key": "v172846853", "edit_slug": "edit/v/172846853", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "extra_properties": null, "node_slug": "v/hyperinflation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-25T23:26:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.m3u8/AC_kjcuHpZw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AC_kjcuHpZw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v172846853", "sha": "aa24f0a625fbaacf4134ac006a3ed3d255998775", "translated_description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "image_url": "https://img.youtube.com/vi/AC_kjcuHpZw/hqdefault.jpg", "youtube_id": "AC_kjcuHpZw", "content_kind": "Video", "readable_id": "hyperinflation"}], "twitter_url": "", "translated_description": "This tutorial walks through various scenarios of moderate and extreme price changes. Very good way to understand how activity in the economy may impact price (and vice versa).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial walks through various scenarios of moderate and extreme price changes. Very good way to understand how activity in the economy may impact price (and vice versa).", "x_pos": 0.0, "node_slug": "deflation-inflation-scenarios-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9955e0d0", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial", "slug": "deflation-inflation-scenarios-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e3455ac4ff38601c4c48a2ed5a80b6de94abc8d0", "standalone_title": "Inflationary and deflationary scenarios", "y_pos": 0.0, "current_revision_key": "e3455ac4ff38601c4c48a2ed5a80b6de94abc8d0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial", "translated_standalone_title": "Inflation and unemployment", "translated_title": "The Phillips curve: Inflation and unemployment", "gplus_url": "", "id": "x56be3c9a", "old_key_name": "hRiScE02QdR7ER7iAf5waqA9lOm04FfKFWAvG10F", "hide": false, "title": "The Phillips curve: Inflation and unemployment", "child_data": [{"kind": "Video", "id": 421005}, {"kind": "Video", "id": 578936836}], "children": [{"translated_youtube_id": "9DGbDx5xQNo", "relative_url": "/video/unemployment-rate-primer", "has_questions": false, "keywords": "economics, unemployment, rate", "ka_url": "http://www.khanacademy.org/video/unemployment-rate-primer", "duration": 578, "translated_title": "Unemployment rate primer", "translated_description_html": "Understanding how the headline unemployment rate (U-3) is calculated", "id": "421005", "description_html": "Understanding how the headline unemployment rate (U-3) is calculated", "title": "Unemployment rate primer", "progress_key": "v421005", "edit_slug": "edit/v/421005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how the headline unemployment rate (U-3) is calculated", "extra_properties": null, "node_slug": "v/unemployment-rate-primer", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.mp4/9DGbDx5xQNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.mp4/9DGbDx5xQNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.m3u8/9DGbDx5xQNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9DGbDx5xQNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v421005", "sha": "af17e031ec5bd752e017601adaafae4261aadefa", "translated_description": "Understanding how the headline unemployment rate (U-3) is calculated", "image_url": "https://img.youtube.com/vi/9DGbDx5xQNo/hqdefault.jpg", "youtube_id": "9DGbDx5xQNo", "content_kind": "Video", "readable_id": "unemployment-rate-primer"}, {"translated_youtube_id": "v7ZWTZ9NgU4", "relative_url": "/video/phillips-curve", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/phillips-curve", "duration": 527, "translated_title": "Phillips curve", "translated_description_html": "The observation that inflation and unemployment tend to be inversely correlated", "id": "578936836", "description_html": "The observation that inflation and unemployment tend to be inversely correlated", "title": "Phillips curve", "progress_key": "v578936836", "edit_slug": "edit/v/578936836", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The observation that inflation and unemployment tend to be inversely correlated", "extra_properties": null, "node_slug": "v/phillips-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-15T22:52:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v7ZWTZ9NgU4.mp4/v7ZWTZ9NgU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v7ZWTZ9NgU4.mp4/v7ZWTZ9NgU4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v7ZWTZ9NgU4.m3u8/v7ZWTZ9NgU4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v7ZWTZ9NgU4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v578936836", "sha": "5f4cea462897f1e979a886ec07d593b91ee807db", "translated_description": "The observation that inflation and unemployment tend to be inversely correlated", "image_url": "https://img.youtube.com/vi/v7ZWTZ9NgU4/hqdefault.jpg", "youtube_id": "v7ZWTZ9NgU4", "content_kind": "Video", "readable_id": "phillips-curve"}], "twitter_url": "", "translated_description": "Economists have notices a correlation between unemployment and correlation (you may wan to guess what type of correlation). On some level, this tutorial is common sense, but it will give you fancy labels for this relation so that you can sound fancy at fancy parties.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Economists have notices a correlation between unemployment and correlation (you may wan to guess what type of correlation). On some level, this tutorial is common sense, but it will give you fancy labels for this relation so that you can sound fancy at fancy parties.", "x_pos": 0.0, "node_slug": "phillips-curve-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax56be3c9a", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial", "slug": "phillips-curve-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8911e1f4ff32ddf33b71d1f0dddaea42976c2fba", "standalone_title": "Inflation and unemployment", "y_pos": 0.0, "current_revision_key": "8911e1f4ff32ddf33b71d1f0dddaea42976c2fba", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Inflation and deflation. CPI-U. Real and nominal return. Phillips Curve.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Inflation and deflation. CPI-U. Real and nominal return. Phillips Curve.", "x_pos": 0.0, "node_slug": "inflation-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axde55f2b6", "topic_page_url": "/economics-finance-domain/macroeconomics/inflation-topic", "extended_slug": "economics-finance-domain/macroeconomics/inflation-topic", "slug": "inflation-topic", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "1a3243b65adb5ebd025e0236ac5717e474699b81", "standalone_title": "Inflation - measuring the cost of living", "y_pos": 0.0, "current_revision_key": "1a3243b65adb5ebd025e0236ac5717e474699b81", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic", "translated_standalone_title": "Aggregate demand and aggregate supply", "translated_title": "Aggregate demand and aggregate supply", "gplus_url": "", "id": "x5a26f530", "old_key_name": "pfoXU4HhGRxpCiZi7m5trDbsySDJgt0ePKZRmQmq", "hide": false, "title": "Aggregate demand and aggregate supply", "child_data": [{"kind": "Topic", "id": "x649f0644"}, {"kind": "Topic", "id": "xb07698a2"}, {"kind": "Topic", "id": "xd92fbb2a"}, {"kind": "Topic", "id": "x6dc33ce4"}, {"kind": "Topic", "id": "xe8757078"}, {"kind": "Topic", "id": "x11f08d7f"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut", "translated_standalone_title": "Aggregate demand and aggregate supply", "translated_title": "Aggregate demand and aggregate supply", "gplus_url": "", "id": "x649f0644", "old_key_name": "zukYfSQYdTPLoHH5cmkHyjuF5zOhIXfABoVgrpQW", "hide": false, "title": "Aggregate demand and aggregate supply", "child_data": [{"kind": "Video", "id": 679691018}, {"kind": "Video", "id": 679779124}, {"kind": "Video", "id": 679666700}, {"kind": "Video", "id": 679796042}], "children": [{"translated_youtube_id": "oLhohwfwf_U", "relative_url": "/video/aggregate-demand", "has_questions": false, "keywords": "macroeconomics, aggregate, demand", "ka_url": "http://www.khanacademy.org/video/aggregate-demand", "duration": 833, "translated_title": "Aggregate demand", "translated_description_html": "Understanding how aggregate demand is different from demand for a specific good or service. Justifications for the aggregate demand curve being downward sloping", "id": "679691018", "description_html": "Understanding how aggregate demand is different from demand for a specific good or service. Justifications for the aggregate demand curve being downward sloping", "title": "Aggregate demand", "progress_key": "v679691018", "edit_slug": "edit/v/679691018", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding how aggregate demand is different from demand for a specific good or service. Justifications for the aggregate demand curve being downward sloping", "extra_properties": null, "node_slug": "v/aggregate-demand", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T21:46:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oLhohwfwf_U.mp4/oLhohwfwf_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oLhohwfwf_U.mp4/oLhohwfwf_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oLhohwfwf_U.m3u8/oLhohwfwf_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oLhohwfwf_U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679691018", "sha": "da6c7f99883a3000b066ee458855c9b3f6f7704d", "translated_description": "Understanding how aggregate demand is different from demand for a specific good or service. Justifications for the aggregate demand curve being downward sloping", "image_url": "https://img.youtube.com/vi/oLhohwfwf_U/hqdefault.jpg", "youtube_id": "oLhohwfwf_U", "content_kind": "Video", "readable_id": "aggregate-demand"}, {"translated_youtube_id": "scN-1B6plos", "relative_url": "/video/shifts-in-aggregate-demand", "has_questions": false, "keywords": "macroeconomics, microeconomics", "ka_url": "http://www.khanacademy.org/video/shifts-in-aggregate-demand", "duration": 318, "translated_title": "Shifts in aggregate demand", "translated_description_html": "Factors that might shift aggregate demand", "id": "679779124", "description_html": "Factors that might shift aggregate demand", "title": "Shifts in aggregate demand", "progress_key": "v679779124", "edit_slug": "edit/v/679779124", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Factors that might shift aggregate demand", "extra_properties": null, "node_slug": "v/shifts-in-aggregate-demand", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T21:47:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/scN-1B6plos.mp4/scN-1B6plos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/scN-1B6plos.mp4/scN-1B6plos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/scN-1B6plos.m3u8/scN-1B6plos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=scN-1B6plos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679779124", "sha": "71da5c8f0c24b4b2af00810562688dd41a9065f5", "translated_description": "Factors that might shift aggregate demand", "image_url": "https://img.youtube.com/vi/scN-1B6plos/hqdefault.jpg", "youtube_id": "scN-1B6plos", "content_kind": "Video", "readable_id": "shifts-in-aggregate-demand"}, {"translated_youtube_id": "8W0iZk8Yxhs", "relative_url": "/video/long-run-aggregate-supply", "has_questions": false, "keywords": "aggregate, supply, macroeconomics", "ka_url": "http://www.khanacademy.org/video/long-run-aggregate-supply", "duration": 275, "translated_title": "Long-run aggregate supply", "translated_description_html": "Thinking about why aggregate supply may not be influenced by prices in the long-run", "id": "679666700", "description_html": "Thinking about why aggregate supply may not be influenced by prices in the long-run", "title": "Long-run aggregate supply", "progress_key": "v679666700", "edit_slug": "edit/v/679666700", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about why aggregate supply may not be influenced by prices in the long-run", "extra_properties": null, "node_slug": "v/long-run-aggregate-supply", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-03-23T21:47:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8W0iZk8Yxhs.mp4/8W0iZk8Yxhs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8W0iZk8Yxhs.mp4/8W0iZk8Yxhs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8W0iZk8Yxhs.m3u8/8W0iZk8Yxhs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8W0iZk8Yxhs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679666700", "sha": "a5ea4860dfb7e28ea69ef98f21c5bdd54f504ec6", "translated_description": "Thinking about why aggregate supply may not be influenced by prices in the long-run", "image_url": "https://img.youtube.com/vi/8W0iZk8Yxhs/hqdefault.jpg", "youtube_id": "8W0iZk8Yxhs", "content_kind": "Video", "readable_id": "long-run-aggregate-supply"}, {"translated_youtube_id": "3nbalsyibKU", "relative_url": "/video/short-run-aggregate-supply", "has_questions": false, "keywords": "AD-AS, model, macroeconomics", "ka_url": "http://www.khanacademy.org/video/short-run-aggregate-supply", "duration": 735, "translated_title": "Short run aggregate supply", "translated_description_html": "Justifications for the aggregate supply curve to be upward sloping in the short-run", "id": "679796042", "description_html": "Justifications for the aggregate supply curve to be upward sloping in the short-run", "title": "Short run aggregate supply", "progress_key": "v679796042", "edit_slug": "edit/v/679796042", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Justifications for the aggregate supply curve to be upward sloping in the short-run", "extra_properties": null, "node_slug": "v/short-run-aggregate-supply", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T21:48:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3nbalsyibKU.mp4/3nbalsyibKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3nbalsyibKU.mp4/3nbalsyibKU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3nbalsyibKU.m3u8/3nbalsyibKU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3nbalsyibKU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679796042", "sha": "5c33c61385ec6eeed8c0bc6d0bddd8f55978b18c", "translated_description": "Justifications for the aggregate supply curve to be upward sloping in the short-run", "image_url": "https://img.youtube.com/vi/3nbalsyibKU/hqdefault.jpg", "youtube_id": "3nbalsyibKU", "content_kind": "Video", "readable_id": "short-run-aggregate-supply"}], "twitter_url": "", "translated_description": "This tutorial looks at supply and demand in aggregate-from the perspective of the entire economy (not just the market for one good or service). Instead of thinking of quantity of one good, we think of total output (GDP). Very useful model for thinking through macroeconomic events.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial looks at supply and demand in aggregate-from the perspective of the entire economy (not just the market for one good or service). Instead of thinking of quantity of one good, we think of total output (GDP). Very useful model for thinking through macroeconomic events.", "x_pos": 0.0, "node_slug": "aggregate-supply-demand-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax649f0644", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut", "slug": "aggregate-supply-demand-tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5d065050d747c48bcb1d9bf6a47cab45a5045497", "standalone_title": "Aggregate demand and aggregate supply", "y_pos": 0.0, "current_revision_key": "5d065050d747c48bcb1d9bf6a47cab45a5045497", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios", "translated_standalone_title": "Historical circumstances explained by AD/AS", "translated_title": "Historical circumstances explained by AD/AS", "gplus_url": "", "id": "xb07698a2", "old_key_name": "-mHKYSf0T--IClZL4gLIahPiqprauF15wpuMMxSE", "hide": false, "title": "Historical circumstances explained by AD/AS", "child_data": [{"kind": "Video", "id": 679630384}, {"kind": "Video", "id": 679751475}, {"kind": "Video", "id": 679785139}], "children": [{"translated_youtube_id": "HdqbCvqTb20", "relative_url": "/video/demand-pull-inflation-under-johnson", "has_questions": false, "keywords": "macroeconomics, demand-pull, inflation", "ka_url": "http://www.khanacademy.org/video/demand-pull-inflation-under-johnson", "duration": 558, "translated_title": "Demand-pull inflation under Johnson", "translated_description_html": "Thinking about whether inflation in the late 1960s is consistent with the AD-AS model", "id": "679630384", "description_html": "Thinking about whether inflation in the late 1960s is consistent with the AD-AS model", "title": "Demand-pull inflation under Johnson", "progress_key": "v679630384", "edit_slug": "edit/v/679630384", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about whether inflation in the late 1960s is consistent with the AD-AS model", "extra_properties": null, "node_slug": "v/demand-pull-inflation-under-johnson", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T21:48:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HdqbCvqTb20.mp4/HdqbCvqTb20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HdqbCvqTb20.mp4/HdqbCvqTb20.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HdqbCvqTb20.m3u8/HdqbCvqTb20.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HdqbCvqTb20&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679630384", "sha": "9e088578b2e2ae6fc645cfb1d3d033cee80c6a27", "translated_description": "Thinking about whether inflation in the late 1960s is consistent with the AD-AS model", "image_url": "https://img.youtube.com/vi/HdqbCvqTb20/hqdefault.jpg", "youtube_id": "HdqbCvqTb20", "content_kind": "Video", "readable_id": "demand-pull-inflation-under-johnson"}, {"translated_youtube_id": "XsD7mqFDJs0", "relative_url": "/video/real-gdp-driving-price", "has_questions": false, "keywords": "macroeconomics, AD-AS, model", "ka_url": "http://www.khanacademy.org/video/real-gdp-driving-price", "duration": 375, "translated_title": "Real GDP driving price", "translated_description_html": "Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve", "id": "679751475", "description_html": "Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve", "title": "Real GDP driving price", "progress_key": "v679751475", "edit_slug": "edit/v/679751475", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve", "extra_properties": null, "node_slug": "v/real-gdp-driving-price", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T21:49:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XsD7mqFDJs0.mp4/XsD7mqFDJs0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XsD7mqFDJs0.mp4/XsD7mqFDJs0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XsD7mqFDJs0.m3u8/XsD7mqFDJs0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XsD7mqFDJs0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679751475", "sha": "07794c445649b8c549f32ced272e4ea6eeb330bc", "translated_description": "Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve", "image_url": "https://img.youtube.com/vi/XsD7mqFDJs0/hqdefault.jpg", "youtube_id": "XsD7mqFDJs0", "content_kind": "Video", "readable_id": "real-gdp-driving-price"}, {"translated_youtube_id": "3A-nAw2tY_4", "relative_url": "/video/cost-push-inflation", "has_questions": false, "keywords": "Cost, Push, Inflation", "ka_url": "http://www.khanacademy.org/video/cost-push-inflation", "duration": 345, "translated_title": "Cost-push inflation", "translated_description_html": "How an oil shock can slow the economy while causing inflation", "id": "679785139", "description_html": "How an oil shock can slow the economy while causing inflation", "title": "Cost-push inflation", "progress_key": "v679785139", "edit_slug": "edit/v/679785139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How an oil shock can slow the economy while causing inflation", "extra_properties": null, "node_slug": "v/cost-push-inflation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-23T21:50:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3A-nAw2tY_4.mp4/3A-nAw2tY_4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3A-nAw2tY_4.mp4/3A-nAw2tY_4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3A-nAw2tY_4.m3u8/3A-nAw2tY_4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3A-nAw2tY_4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679785139", "sha": "f48a6fdf1504bec464cba7f43ff423ad9de51732", "translated_description": "How an oil shock can slow the economy while causing inflation", "image_url": "https://img.youtube.com/vi/3A-nAw2tY_4/hqdefault.jpg", "youtube_id": "3A-nAw2tY_4", "content_kind": "Video", "readable_id": "cost-push-inflation"}], "twitter_url": "", "translated_description": "In the last tutorial, we claimed that the aggregate demand and aggregate supply model (AD-AS) would be useful for analyzing macroeconomic events. Well, in this tutorial, we'll do exactly that.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the last tutorial, we claimed that the aggregate demand and aggregate supply model (AD-AS) would be useful for analyzing macroeconomic events. Well, in this tutorial, we'll do exactly that.", "x_pos": 0.0, "node_slug": "historic-ad-as-scenarios", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb07698a2", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios", "slug": "historic-ad-as-scenarios", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "0b603ffbb3d157b81c5c47eaec342d1d4f422155", "standalone_title": "Historical circumstances explained by AD/AS", "y_pos": 0.0, "current_revision_key": "0b603ffbb3d157b81c5c47eaec342d1d4f422155", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial", "translated_standalone_title": "The business cycle", "translated_title": "The business cycle", "gplus_url": "", "id": "xd92fbb2a", "old_key_name": "npyiU2tHxN-mJa2E-ZCBjUuz2AC3grTuAiGCgxRh", "hide": false, "title": "The business cycle", "child_data": [{"kind": "Video", "id": 679751416}], "children": [{"translated_youtube_id": "TXrOpjG4dUs", "relative_url": "/video/the-business-cycle", "has_questions": false, "keywords": "macroeconomics, depression, recession, expansion", "ka_url": "http://www.khanacademy.org/video/the-business-cycle", "duration": 676, "translated_title": "The business cycle", "translated_description_html": "The business cycle and how it may be driven by emotion", "id": "679751416", "description_html": "The business cycle and how it may be driven by emotion", "title": "The business cycle", "progress_key": "v679751416", "edit_slug": "edit/v/679751416", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The business cycle and how it may be driven by emotion", "extra_properties": null, "node_slug": "v/the-business-cycle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-23T21:44:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TXrOpjG4dUs.mp4/TXrOpjG4dUs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TXrOpjG4dUs.mp4/TXrOpjG4dUs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TXrOpjG4dUs.m3u8/TXrOpjG4dUs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TXrOpjG4dUs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679751416", "sha": "966bb6c87a0737e151ec7d3a50e93f9afb80c318", "translated_description": "The business cycle and how it may be driven by emotion", "image_url": "https://img.youtube.com/vi/TXrOpjG4dUs/hqdefault.jpg", "youtube_id": "TXrOpjG4dUs", "content_kind": "Video", "readable_id": "the-business-cycle"}], "twitter_url": "", "translated_description": "Economies never have a long steady march upwards. They constantly oscillate between growth and recession. This tutorial gives a little intuition for why that is.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Economies never have a long steady march upwards. They constantly oscillate between growth and recession. This tutorial gives a little intuition for why that is.", "x_pos": 0.0, "node_slug": "business-cycle-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd92fbb2a", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial", "slug": "business-cycle-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "91083e1cae2c65db40d1cb799829a13467d9740d", "standalone_title": "The business cycle", "y_pos": 0.0, "current_revision_key": "91083e1cae2c65db40d1cb799829a13467d9740d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy", "translated_standalone_title": "Monetary and fiscal policy", "translated_title": "Monetary and fiscal policy", "gplus_url": "", "id": "x6dc33ce4", "old_key_name": "bqB9U3p1VLjKiNFQwNKb52tNFwCde8JebbMPT1AS", "hide": false, "title": "Monetary and fiscal policy", "child_data": [{"kind": "Video", "id": 679609741}, {"kind": "Video", "id": 679514331}], "children": [{"translated_youtube_id": "ntxMOKXHlfo", "relative_url": "/video/monetary-and-fiscal-policy", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/monetary-and-fiscal-policy", "duration": 534, "translated_title": "Monetary and fiscal policy", "translated_description_html": "Basic mechanics of monetary and fiscal policy", "id": "679609741", "description_html": "Basic mechanics of monetary and fiscal policy", "title": "Monetary and fiscal policy", "progress_key": "v679609741", "edit_slug": "edit/v/679609741", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic mechanics of monetary and fiscal policy", "extra_properties": null, "node_slug": "v/monetary-and-fiscal-policy", "deleted": false, "backup_timestamp": "2013-09-21T10:38:49Z", "date_added": "2012-03-23T21:50:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ntxMOKXHlfo.mp4/ntxMOKXHlfo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ntxMOKXHlfo.mp4/ntxMOKXHlfo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ntxMOKXHlfo.m3u8/ntxMOKXHlfo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ntxMOKXHlfo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679609741", "sha": "1f29c8ebb3ef5c3a6b6cb3806975b238094ca661", "translated_description": "Basic mechanics of monetary and fiscal policy", "image_url": "https://img.youtube.com/vi/ntxMOKXHlfo/hqdefault.jpg", "youtube_id": "ntxMOKXHlfo", "content_kind": "Video", "readable_id": "monetary-and-fiscal-policy"}, {"translated_youtube_id": "BRXBCxKjiK8", "relative_url": "/video/tax-lever-of-fiscal-policy", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/tax-lever-of-fiscal-policy", "duration": 160, "translated_title": "Tax lever of fiscal policy", "translated_description_html": "How government can effect aggregate demand through tax policy", "id": "679514331", "description_html": "How government can effect aggregate demand through tax policy", "title": "Tax lever of fiscal policy", "progress_key": "v679514331", "edit_slug": "edit/v/679514331", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How government can effect aggregate demand through tax policy", "extra_properties": null, "node_slug": "v/tax-lever-of-fiscal-policy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T21:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BRXBCxKjiK8.mp4/BRXBCxKjiK8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BRXBCxKjiK8.mp4/BRXBCxKjiK8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BRXBCxKjiK8.m3u8/BRXBCxKjiK8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BRXBCxKjiK8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679514331", "sha": "509349515af8e858ff25530446bffcab4d6c03c6", "translated_description": "How government can effect aggregate demand through tax policy", "image_url": "https://img.youtube.com/vi/BRXBCxKjiK8/hqdefault.jpg", "youtube_id": "BRXBCxKjiK8", "content_kind": "Video", "readable_id": "tax-lever-of-fiscal-policy"}], "twitter_url": "", "translated_description": "Governments (and pseudo government entities like central banks) have two tools at their disposal to try to impact the business cycle --monetary and fiscal policy. This will help you understand what they are.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Governments (and pseudo government entities like central banks) have two tools at their disposal to try to impact the business cycle --monetary and fiscal policy. This will help you understand what they are.", "x_pos": 0.0, "node_slug": "monetary-fiscal-policy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6dc33ce4", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy", "slug": "monetary-fiscal-policy", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "89141b34b5ee7cdfb0347eb155527adcaf31e35d", "standalone_title": "Monetary and fiscal policy", "y_pos": 0.0, "current_revision_key": "89141b34b5ee7cdfb0347eb155527adcaf31e35d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking", "translated_standalone_title": "Keynesian thinking", "translated_title": "Keynesian thinking", "gplus_url": "", "id": "xe8757078", "old_key_name": "mXBPyoF6bN5PPwRGM63n2E2o2xlThiodooPDimIu", "hide": false, "title": "Keynesian thinking", "child_data": [{"kind": "Video", "id": 679637766}, {"kind": "Video", "id": 679668417}], "children": [{"translated_youtube_id": "hPkh8kOldU4", "relative_url": "/video/keynesian-economics", "has_questions": false, "keywords": "macroeconomics, keynes", "ka_url": "http://www.khanacademy.org/video/keynesian-economics", "duration": 725, "translated_title": "Keynesian economics", "translated_description_html": "Contrasting Keynesian and Classical Thinking", "id": "679637766", "description_html": "Contrasting Keynesian and Classical Thinking", "title": "Keynesian economics", "progress_key": "v679637766", "edit_slug": "edit/v/679637766", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Contrasting Keynesian and Classical Thinking", "extra_properties": null, "node_slug": "v/keynesian-economics", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T21:59:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hPkh8kOldU4.mp4/hPkh8kOldU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hPkh8kOldU4.mp4/hPkh8kOldU4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hPkh8kOldU4.m3u8/hPkh8kOldU4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hPkh8kOldU4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679637766", "sha": "812ee41c40a339bcd1028b12c134f7f4c928eb0d", "translated_description": "Contrasting Keynesian and Classical Thinking", "image_url": "https://img.youtube.com/vi/hPkh8kOldU4/hqdefault.jpg", "youtube_id": "hPkh8kOldU4", "content_kind": "Video", "readable_id": "keynesian-economics"}, {"translated_youtube_id": "EVSkf7l7EuI", "relative_url": "/video/risks-of-keynesian-thinking", "has_questions": false, "keywords": "macroeconomics, keynes", "ka_url": "http://www.khanacademy.org/video/risks-of-keynesian-thinking", "duration": 494, "translated_title": "Risks of Keynesian thinking", "translated_description_html": "Why Keynesian thinking might not be ideal sometimes", "id": "679668417", "description_html": "Why Keynesian thinking might not be ideal sometimes", "title": "Risks of Keynesian thinking", "progress_key": "v679668417", "edit_slug": "edit/v/679668417", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why Keynesian thinking might not be ideal sometimes", "extra_properties": null, "node_slug": "v/risks-of-keynesian-thinking", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-23T21:59:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EVSkf7l7EuI.mp4/EVSkf7l7EuI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EVSkf7l7EuI.mp4/EVSkf7l7EuI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EVSkf7l7EuI.m3u8/EVSkf7l7EuI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EVSkf7l7EuI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679668417", "sha": "1f26d82c4e03abbbe5eaf2fbb166c292619fd40f", "translated_description": "Why Keynesian thinking might not be ideal sometimes", "image_url": "https://img.youtube.com/vi/EVSkf7l7EuI/hqdefault.jpg", "youtube_id": "EVSkf7l7EuI", "content_kind": "Video", "readable_id": "risks-of-keynesian-thinking"}], "twitter_url": "", "translated_description": "Whether you love him or hate him (or just consider him a friend that you respect but disagree with every-now-and-then), Keynes has helped define how many modern governments think about their economies. This tutorial explains how his thinking was a fundamental departure from classical economics.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Whether you love him or hate him (or just consider him a friend that you respect but disagree with every-now-and-then), Keynes has helped define how many modern governments think about their economies. This tutorial explains how his thinking was a fundamental departure from classical economics.", "x_pos": 0.0, "node_slug": "keynesian-thinking", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe8757078", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking", "slug": "keynesian-thinking", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "c368f62c60e21fc4598d9ee2e44d98ad9a273e16", "standalone_title": "Keynesian thinking", "y_pos": 0.0, "current_revision_key": "c368f62c60e21fc4598d9ee2e44d98ad9a273e16", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation. Fiscal and monetary policy.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation. Fiscal and monetary policy.", "x_pos": 0.0, "node_slug": "aggregate-supply-demand-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5a26f530", "topic_page_url": "/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic", "extended_slug": "economics-finance-domain/macroeconomics/aggregate-supply-demand-topic", "slug": "aggregate-supply-demand-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2184fb5257e922131375257dba82f94ce3ff1ae0", "standalone_title": "Aggregate demand and aggregate supply", "y_pos": 0.0, "current_revision_key": "2184fb5257e922131375257dba82f94ce3ff1ae0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/monetary-system-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic", "translated_standalone_title": "The monetary system", "translated_title": "The monetary system", "gplus_url": "", "id": "xba092826", "old_key_name": "OsOPgzsGmb01Xm2FX1dHXaWAbdmWpBUCIpD1KKb7", "hide": false, "title": "The monetary system", "child_data": [{"kind": "Topic", "id": "x783f70d5"}, {"kind": "Topic", "id": "x63aa3c08"}, {"kind": "Topic", "id": "xccbd05eb"}, {"kind": "Topic", "id": "x965e5eeb"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut", "translated_standalone_title": "Fractional reserve banking", "translated_title": "Fractional reserve banking", "gplus_url": "", "id": "x783f70d5", "old_key_name": "EDOwPxAWNg8wJ_EOfabnA2hpBksmvATDl8dJJyKd", "hide": false, "title": "Fractional reserve banking", "child_data": [{"kind": "Video", "id": 679742842}, {"kind": "Video", "id": 679608861}, {"kind": "Video", "id": 679571901}], "children": [{"translated_youtube_id": "3mUi9IZb4T4", "relative_url": "/video/overview-of-fractional-reserve-banking", "has_questions": false, "keywords": "money, supply, macroeconomics", "ka_url": "http://www.khanacademy.org/video/overview-of-fractional-reserve-banking", "duration": 508, "translated_title": "Overview of fractional reserve banking", "translated_description_html": "Big picture of how money enters circulation and how lending can increase the money supply", "id": "679742842", "description_html": "Big picture of how money enters circulation and how lending can increase the money supply", "title": "Overview of fractional reserve banking", "progress_key": "v679742842", "edit_slug": "edit/v/679742842", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Big picture of how money enters circulation and how lending can increase the money supply", "extra_properties": null, "node_slug": "v/overview-of-fractional-reserve-banking", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-23T22:07:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mUi9IZb4T4.mp4/3mUi9IZb4T4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mUi9IZb4T4.mp4/3mUi9IZb4T4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3mUi9IZb4T4.m3u8/3mUi9IZb4T4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3mUi9IZb4T4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679742842", "sha": "a4618bdb4a2ff26e814ab0cb1642dff3a0363701", "translated_description": "Big picture of how money enters circulation and how lending can increase the money supply", "image_url": "https://img.youtube.com/vi/3mUi9IZb4T4/hqdefault.jpg", "youtube_id": "3mUi9IZb4T4", "content_kind": "Video", "readable_id": "overview-of-fractional-reserve-banking"}, {"translated_youtube_id": "1HYSMxu-Dns", "relative_url": "/video/weaknesses-of-fractional-reserve-lending", "has_questions": false, "keywords": "macroeconomics, bank, run", "ka_url": "http://www.khanacademy.org/video/weaknesses-of-fractional-reserve-lending", "duration": 454, "translated_title": "Weaknesses of fractional reserve lending", "translated_description_html": "Weaknesses of Fractional Reserve Lending", "id": "679608861", "description_html": "Weaknesses of Fractional Reserve Lending", "title": "Weaknesses of fractional reserve lending", "progress_key": "v679608861", "edit_slug": "edit/v/679608861", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Weaknesses of Fractional Reserve Lending", "extra_properties": null, "node_slug": "v/weaknesses-of-fractional-reserve-lending", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T22:08:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1HYSMxu-Dns.mp4/1HYSMxu-Dns.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1HYSMxu-Dns.mp4/1HYSMxu-Dns.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1HYSMxu-Dns.m3u8/1HYSMxu-Dns.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1HYSMxu-Dns&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679608861", "sha": "5d445a77f3cd9618c034d84c489d584444815862", "translated_description": "Weaknesses of Fractional Reserve Lending", "image_url": "https://img.youtube.com/vi/1HYSMxu-Dns/hqdefault.jpg", "youtube_id": "1HYSMxu-Dns", "content_kind": "Video", "readable_id": "weaknesses-of-fractional-reserve-lending"}, {"translated_youtube_id": "RGMcswR8DnY", "relative_url": "/video/full-reserve-banking", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/full-reserve-banking", "duration": 452, "translated_title": "Full reserve banking", "translated_description_html": "Overview of full reserve banking in comparison to fractional reserve banking", "id": "679571901", "description_html": "Overview of full reserve banking in comparison to fractional reserve banking", "title": "Full reserve banking", "progress_key": "v679571901", "edit_slug": "edit/v/679571901", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of full reserve banking in comparison to fractional reserve banking", "extra_properties": null, "node_slug": "v/full-reserve-banking", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T22:09:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RGMcswR8DnY.mp4/RGMcswR8DnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RGMcswR8DnY.mp4/RGMcswR8DnY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RGMcswR8DnY.m3u8/RGMcswR8DnY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RGMcswR8DnY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679571901", "sha": "f690a9156c64dc57389ebc0da2ec62f34a8c6075", "translated_description": "Overview of full reserve banking in comparison to fractional reserve banking", "image_url": "https://img.youtube.com/vi/RGMcswR8DnY/hqdefault.jpg", "youtube_id": "RGMcswR8DnY", "content_kind": "Video", "readable_id": "full-reserve-banking"}], "twitter_url": "", "translated_description": "Most modern economies use a counter-intuitive model of banking called \"fractional reserve banking.\" It is counter-intuitive (and some people would say wrong) because it allows banks to lend out money that it tells depositors is available at any time and essentially involves private banks in money creation. It also creates the possibility of mass instability through bank runs that tend to be mitigated through government regulation and insurance (some would say government subsidy of banks).\n\nThis tutorial explains how fractional reserve lending works and outlines the good and bad. It also talks about the alternative of full reserve banking.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most modern economies use a counter-intuitive model of banking called \"fractional reserve banking.\" It is counter-intuitive (and some people would say wrong) because it allows banks to lend out money that it tells depositors is available at any time and essentially involves private banks in money creation. It also creates the possibility of mass instability through bank runs that tend to be mitigated through government regulation and insurance (some would say government subsidy of banks).\n\nThis tutorial explains how fractional reserve lending works and outlines the good and bad. It also talks about the alternative of full reserve banking.", "x_pos": 0.0, "node_slug": "fractional-reserve-banking-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax783f70d5", "topic_page_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut", "extended_slug": "economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut", "slug": "fractional-reserve-banking-tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "516b1e9f4c439b41c2941c4331cb566adbca256f", "standalone_title": "Fractional reserve banking", "y_pos": 0.0, "current_revision_key": "516b1e9f4c439b41c2941c4331cb566adbca256f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial", "translated_standalone_title": "Money supply", "translated_title": "Money supply", "gplus_url": "", "id": "x63aa3c08", "old_key_name": "10Mga4BjbIl3KCfiadXOBPmQ_Y4aivhFQsbPFf9O", "hide": false, "title": "Money supply", "child_data": [{"kind": "Video", "id": 679746715}], "children": [{"translated_youtube_id": "_LPh72gx6GE", "relative_url": "/video/money-supply--m0-m1-and-m2", "has_questions": false, "keywords": "macroeconomics, money, supply", "ka_url": "http://www.khanacademy.org/video/money-supply--m0-m1-and-m2", "duration": 604, "translated_title": "Money supply: M0, M1, and M2", "translated_description_html": "Different ways of measuring the money supply", "id": "679746715", "description_html": "Different ways of measuring the money supply", "title": "Money supply: M0, M1, and M2", "progress_key": "v679746715", "edit_slug": "edit/v/679746715", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Different ways of measuring the money supply", "extra_properties": null, "node_slug": "v/money-supply--m0-m1-and-m2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-23T22:10:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_LPh72gx6GE.mp4/_LPh72gx6GE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_LPh72gx6GE.mp4/_LPh72gx6GE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_LPh72gx6GE.m3u8/_LPh72gx6GE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_LPh72gx6GE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v679746715", "sha": "e884294fda335a81f422b2c668a9f601d7dbba97", "translated_description": "Different ways of measuring the money supply", "image_url": "https://img.youtube.com/vi/_LPh72gx6GE/hqdefault.jpg", "youtube_id": "_LPh72gx6GE", "content_kind": "Video", "readable_id": "money-supply--m0-m1-and-m2"}], "twitter_url": "", "translated_description": "This short tutorial explains how we measure how much \"money\" there is out there. As we'll see, this isn't as straightforward as counting dollars in people's pockets, especially because there are multiple type of money.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This short tutorial explains how we measure how much \"money\" there is out there. As we'll see, this isn't as straightforward as counting dollars in people's pockets, especially because there are multiple type of money.", "x_pos": 0.0, "node_slug": "money-supply-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax63aa3c08", "topic_page_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial", "slug": "money-supply-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f406c2c15873efedf1c83be022463fd9eebc3c37", "standalone_title": "Money supply", "y_pos": 0.0, "current_revision_key": "f406c2c15873efedf1c83be022463fd9eebc3c37", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting", "translated_standalone_title": "Fractional reserve accounting", "translated_title": "Fractional reserve accounting", "gplus_url": "", "id": "xccbd05eb", "old_key_name": "1tOtXyhNDLn7nYshvoYZypKa_f0QYOBN6sWD3vRk", "hide": false, "title": "Fractional reserve accounting", "child_data": [{"kind": "Video", "id": 688005556}, {"kind": "Video", "id": 688126598}], "children": [{"translated_youtube_id": "VJgVdzicv_I", "relative_url": "/video/simple-fractional-reserve-accounting-part-1", "has_questions": false, "keywords": "Simple, Fractional, Reserve, Accounting, part, 1", "ka_url": "http://www.khanacademy.org/video/simple-fractional-reserve-accounting-part-1", "duration": 541, "translated_title": "Simple fractional reserve accounting (part 1)", "translated_description_html": "", "id": "688005556", "description_html": "", "title": "Simple fractional reserve accounting (part 1)", "progress_key": "v688005556", "edit_slug": "edit/v/688005556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/simple-fractional-reserve-accounting-part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-28T00:16:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VJgVdzicv_I.mp4/VJgVdzicv_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VJgVdzicv_I.mp4/VJgVdzicv_I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VJgVdzicv_I.m3u8/VJgVdzicv_I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VJgVdzicv_I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v688005556", "sha": "4ef2d85e2717e5a4e3bec3130874e1b53fb3fefa", "translated_description": "", "image_url": "https://img.youtube.com/vi/VJgVdzicv_I/hqdefault.jpg", "youtube_id": "VJgVdzicv_I", "content_kind": "Video", "readable_id": "simple-fractional-reserve-accounting-part-1"}, {"translated_youtube_id": "PASajlCGBTw", "relative_url": "/video/simple-fractional-reserve-accounting--part-2", "has_questions": false, "keywords": "banking, macroeconomics", "ka_url": "http://www.khanacademy.org/video/simple-fractional-reserve-accounting--part-2", "duration": 425, "translated_title": "Simple fractional reserve accounting (part 2)", "translated_description_html": "How banks can actually create checking accounts under a fractional reserve system", "id": "688126598", "description_html": "How banks can actually create checking accounts under a fractional reserve system", "title": "Simple fractional reserve accounting (part 2)", "progress_key": "v688126598", "edit_slug": "edit/v/688126598", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How banks can actually create checking accounts under a fractional reserve system", "extra_properties": null, "node_slug": "v/simple-fractional-reserve-accounting--part-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-28T00:16:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PASajlCGBTw.mp4/PASajlCGBTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PASajlCGBTw.mp4/PASajlCGBTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PASajlCGBTw.m3u8/PASajlCGBTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PASajlCGBTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v688126598", "sha": "a5ac16e49514e278ee8f51c00d986561999e9c7d", "translated_description": "How banks can actually create checking accounts under a fractional reserve system", "image_url": "https://img.youtube.com/vi/PASajlCGBTw/hqdefault.jpg", "youtube_id": "PASajlCGBTw", "content_kind": "Video", "readable_id": "simple-fractional-reserve-accounting--part-2"}], "twitter_url": "", "translated_description": "If you already know a bit of what fractional reserve banking involves, this tutorial will take you deeper by looking at the actual accounting of central banks and banks.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you already know a bit of what fractional reserve banking involves, this tutorial will take you deeper by looking at the actual accounting of central banks and banks.", "x_pos": 0.0, "node_slug": "factional-reserve-accounting", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axccbd05eb", "topic_page_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting", "extended_slug": "economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting", "slug": "factional-reserve-accounting", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5ba2d9c53d7bf7ef602c71476d95128870e4798b", "standalone_title": "Fractional reserve accounting", "y_pos": 0.0, "current_revision_key": "5ba2d9c53d7bf7ef602c71476d95128870e4798b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial", "translated_standalone_title": "Interest as the price of money", "translated_title": "Interest as the price of money", "gplus_url": "", "id": "x965e5eeb", "old_key_name": "qeJyCTzYtVoGx1FEDqVxETevOWXSlT9Wh-XWP1f8", "hide": false, "title": "Interest as the price of money", "child_data": [{"kind": "Video", "id": 614432604}, {"kind": "Video", "id": 614455553}], "children": [{"translated_youtube_id": "Lru0vKmkzR8", "relative_url": "/video/interest-as-rent-for-money", "has_questions": false, "keywords": "microeconomics, macroeconomics", "ka_url": "http://www.khanacademy.org/video/interest-as-rent-for-money", "duration": 594, "translated_title": "Interest as rent for money", "translated_description_html": "Thinking about interest as the price of money. Looking at money from a supply and demand perspective", "id": "614432604", "description_html": "Thinking about interest as the price of money. Looking at money from a supply and demand perspective", "title": "Interest as rent for money", "progress_key": "v614432604", "edit_slug": "edit/v/614432604", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about interest as the price of money. Looking at money from a supply and demand perspective", "extra_properties": null, "node_slug": "v/interest-as-rent-for-money", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-03-01T00:23:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lru0vKmkzR8.mp4/Lru0vKmkzR8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lru0vKmkzR8.mp4/Lru0vKmkzR8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lru0vKmkzR8.m3u8/Lru0vKmkzR8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lru0vKmkzR8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v614432604", "sha": "2f83411ac764692df8ef446582928068935482b6", "translated_description": "Thinking about interest as the price of money. Looking at money from a supply and demand perspective", "image_url": "https://img.youtube.com/vi/Lru0vKmkzR8/hqdefault.jpg", "youtube_id": "Lru0vKmkzR8", "content_kind": "Video", "readable_id": "interest-as-rent-for-money"}, {"translated_youtube_id": "vItRHYu-A88", "relative_url": "/video/money-supply-and-demand-impacting-interest-rates", "has_questions": false, "keywords": "microeconomics, macroeconomics", "ka_url": "http://www.khanacademy.org/video/money-supply-and-demand-impacting-interest-rates", "duration": 454, "translated_title": "Money supply and demand impacting interest rates", "translated_description_html": "Examples showing how various factors can affect interest rates", "id": "614455553", "description_html": "Examples showing how various factors can affect interest rates", "title": "Money supply and demand impacting interest rates", "progress_key": "v614455553", "edit_slug": "edit/v/614455553", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Examples showing how various factors can affect interest rates", "extra_properties": null, "node_slug": "v/money-supply-and-demand-impacting-interest-rates", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-01T00:25:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vItRHYu-A88.mp4/vItRHYu-A88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vItRHYu-A88.mp4/vItRHYu-A88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vItRHYu-A88.m3u8/vItRHYu-A88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vItRHYu-A88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v614455553", "sha": "63d92f117d49ddfb232c1a73e52ca178b3a6d971", "translated_description": "Examples showing how various factors can affect interest rates", "image_url": "https://img.youtube.com/vi/vItRHYu-A88/hqdefault.jpg", "youtube_id": "vItRHYu-A88", "content_kind": "Video", "readable_id": "money-supply-and-demand-impacting-interest-rates"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "interest-price-of-money-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax965e5eeb", "topic_page_url": "/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial", "slug": "interest-price-of-money-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6e55ff8da5ad7c652ed2207439a6ebbbc3512bd6", "standalone_title": "Interest as the price of money", "y_pos": 0.0, "current_revision_key": "6e55ff8da5ad7c652ed2207439a6ebbbc3512bd6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Fractional reserve banking and the money supply.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Fractional reserve banking and the money supply.", "x_pos": 0.0, "node_slug": "monetary-system-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axba092826", "topic_page_url": "/economics-finance-domain/macroeconomics/monetary-system-topic", "extended_slug": "economics-finance-domain/macroeconomics/monetary-system-topic", "slug": "monetary-system-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "17ec0b5a4f8229dbbee1e648eaf37bc469022562", "standalone_title": "The monetary system", "y_pos": 0.0, "current_revision_key": "17ec0b5a4f8229dbbee1e648eaf37bc469022562", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic", "translated_standalone_title": "Income and expenditure - Keynesian cross and IS-LM model", "translated_title": "Income and expenditure: Keynesian cross and IS-LM model", "gplus_url": "", "id": "x9bf02cd2", "old_key_name": "LrsZ8KeZAE-dXzdaEmMivAx2pFlAAxe-nO1Y8KAM", "hide": false, "title": "Income and expenditure: Keynesian cross and IS-LM model", "child_data": [{"kind": "Topic", "id": "xee0ae163"}, {"kind": "Topic", "id": "x70ab0640"}, {"kind": "Topic", "id": "x7c39fbcf"}, {"kind": "Topic", "id": "xfcd5e93b"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial", "translated_standalone_title": "Marginal propensity to consume (MPC)", "translated_title": "Marginal propensity to consume (MPC)", "gplus_url": "", "id": "xee0ae163", "old_key_name": "iVCmTuAIT4SCwCffm60Kc4ecnR2H2wuPlxIuXhCi", "hide": false, "title": "Marginal propensity to consume (MPC)", "child_data": [{"kind": "Video", "id": 769875615}, {"kind": "Video", "id": 769839507}], "children": [{"translated_youtube_id": "O_Oozju3RRI", "relative_url": "/video/mpc-and-multiplier", "has_questions": false, "keywords": "mpc, multiplier, keynes", "ka_url": "http://www.khanacademy.org/video/mpc-and-multiplier", "duration": 593, "translated_title": "MPC and multiplier", "translated_description_html": "Introduction to the marginal propensity to consume and the multiplier", "id": "769875615", "description_html": "Introduction to the marginal propensity to consume and the multiplier", "title": "MPC and multiplier", "progress_key": "v769875615", "edit_slug": "edit/v/769875615", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the marginal propensity to consume and the multiplier", "extra_properties": null, "node_slug": "v/mpc-and-multiplier", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:18:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O_Oozju3RRI.mp4/O_Oozju3RRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O_Oozju3RRI.mp4/O_Oozju3RRI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O_Oozju3RRI.m3u8/O_Oozju3RRI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O_Oozju3RRI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769875615", "sha": "6dcdf2f37ff0ab57012a3bc179fb5f388154211c", "translated_description": "Introduction to the marginal propensity to consume and the multiplier", "image_url": "https://img.youtube.com/vi/O_Oozju3RRI/hqdefault.jpg", "youtube_id": "O_Oozju3RRI", "content_kind": "Video", "readable_id": "mpc-and-multiplier"}, {"translated_youtube_id": "czfJKPN-HEo", "relative_url": "/video/mathy-version-of-mpc-and-multiplier--optional", "has_questions": false, "keywords": "macroeconomics, keynes", "ka_url": "http://www.khanacademy.org/video/mathy-version-of-mpc-and-multiplier--optional", "duration": 542, "translated_title": "Mathy version of MPC and multiplier (optional)", "translated_description_html": "Generalizing what we did in the last video with more math", "id": "769839507", "description_html": "Generalizing what we did in the last video with more math", "title": "Mathy version of MPC and multiplier (optional)", "progress_key": "v769839507", "edit_slug": "edit/v/769839507", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Generalizing what we did in the last video with more math", "extra_properties": null, "node_slug": "v/mathy-version-of-mpc-and-multiplier--optional", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-07T20:19:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/czfJKPN-HEo.mp4/czfJKPN-HEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/czfJKPN-HEo.mp4/czfJKPN-HEo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/czfJKPN-HEo.m3u8/czfJKPN-HEo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=czfJKPN-HEo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769839507", "sha": "3bfedd0e3fa04cb4e4eb2e2af7c72bd99d2907d4", "translated_description": "Generalizing what we did in the last video with more math", "image_url": "https://img.youtube.com/vi/czfJKPN-HEo/hqdefault.jpg", "youtube_id": "czfJKPN-HEo", "content_kind": "Video", "readable_id": "mathy-version-of-mpc-and-multiplier--optional"}], "twitter_url": "", "translated_description": "If you earn a $1, you might spend some fraction of it. This can then be income for someone else. This can keep going. \n\nIn this tutorial, we'll explore how the incremental spend per incremental earnings (marginal propensity to consume) and the multiplier effect based on it can drive economic activity.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you earn a $1, you might spend some fraction of it. This can then be income for someone else. This can keep going. \n\nIn this tutorial, we'll explore how the incremental spend per incremental earnings (marginal propensity to consume) and the multiplier effect based on it can drive economic activity.", "x_pos": 0.0, "node_slug": "MPC-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axee0ae163", "topic_page_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial", "slug": "MPC-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ffb8feefb0dfee6a7084bebcf06ab84b674103a1", "standalone_title": "Marginal propensity to consume (MPC)", "y_pos": 0.0, "current_revision_key": "ffb8feefb0dfee6a7084bebcf06ab84b674103a1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function", "translated_standalone_title": "Consumption function", "translated_title": "Consumption function", "gplus_url": "", "id": "x70ab0640", "old_key_name": "3mOY1SdEFRYnEFWlJr438UFGHAxa_sKp1C-pSrE4", "hide": false, "title": "Consumption function", "child_data": [{"kind": "Video", "id": 769899172}, {"kind": "Video", "id": 769859532}, {"kind": "Video", "id": 769819567}], "children": [{"translated_youtube_id": "o5iot_ZsoV0", "relative_url": "/video/consumption-function-basics", "has_questions": false, "keywords": "macroeconomics, MPC", "ka_url": "http://www.khanacademy.org/video/consumption-function-basics", "duration": 399, "translated_title": "Consumption function basics", "translated_description_html": "The basic idea of a consumption function", "id": "769899172", "description_html": "The basic idea of a consumption function", "title": "Consumption function basics", "progress_key": "v769899172", "edit_slug": "edit/v/769899172", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The basic idea of a consumption function", "extra_properties": null, "node_slug": "v/consumption-function-basics", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-05-07T20:19:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.mp4/o5iot_ZsoV0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.mp4/o5iot_ZsoV0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.m3u8/o5iot_ZsoV0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o5iot_ZsoV0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769899172", "sha": "3def283002953f2a3abedeec82e3b5ec38ff4077", "translated_description": "The basic idea of a consumption function", "image_url": "https://img.youtube.com/vi/o5iot_ZsoV0/hqdefault.jpg", "youtube_id": "o5iot_ZsoV0", "content_kind": "Video", "readable_id": "consumption-function-basics"}, {"translated_youtube_id": "N44RZtJ4jj4", "relative_url": "/video/generalized-linear-consumption-function", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/generalized-linear-consumption-function", "duration": 719, "translated_title": "Generalized linear consumption function", "translated_description_html": "Generalizing a linear consumption function as a function of aggregate income", "id": "769859532", "description_html": "Generalizing a linear consumption function as a function of aggregate income", "title": "Generalized linear consumption function", "progress_key": "v769859532", "edit_slug": "edit/v/769859532", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Generalizing a linear consumption function as a function of aggregate income", "extra_properties": null, "node_slug": "v/generalized-linear-consumption-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:20:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N44RZtJ4jj4.mp4/N44RZtJ4jj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N44RZtJ4jj4.mp4/N44RZtJ4jj4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N44RZtJ4jj4.m3u8/N44RZtJ4jj4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N44RZtJ4jj4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769859532", "sha": "45144fff4add8c8cf5b5c6912bd72f1c380be354", "translated_description": "Generalizing a linear consumption function as a function of aggregate income", "image_url": "https://img.youtube.com/vi/N44RZtJ4jj4/hqdefault.jpg", "youtube_id": "N44RZtJ4jj4", "content_kind": "Video", "readable_id": "generalized-linear-consumption-function"}, {"translated_youtube_id": "wHPGFPIcILM", "relative_url": "/video/consumption-function-with-income-dependent-taxes", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/consumption-function-with-income-dependent-taxes", "duration": 445, "translated_title": "Consumption function with income dependent taxes", "translated_description_html": "Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)", "id": "769819567", "description_html": "Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)", "title": "Consumption function with income dependent taxes", "progress_key": "v769819567", "edit_slug": "edit/v/769819567", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)", "extra_properties": null, "node_slug": "v/consumption-function-with-income-dependent-taxes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-05-07T20:21:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.mp4/wHPGFPIcILM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.mp4/wHPGFPIcILM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.m3u8/wHPGFPIcILM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wHPGFPIcILM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769819567", "sha": "6cf34bf0da1f868647b5641306f916e9b742face", "translated_description": "Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)", "image_url": "https://img.youtube.com/vi/wHPGFPIcILM/hqdefault.jpg", "youtube_id": "wHPGFPIcILM", "content_kind": "Video", "readable_id": "consumption-function-with-income-dependent-taxes"}], "twitter_url": "", "translated_description": "We are steadily building up the tools to understand the Keynesian Cross and the IS-LM model. In this tutorial, we begin to model consumption as a linear function of disposable income. Seems reasonable to me.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We are steadily building up the tools to understand the Keynesian Cross and the IS-LM model. In this tutorial, we begin to model consumption as a linear function of disposable income. Seems reasonable to me.", "x_pos": 0.0, "node_slug": "consumption-function", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax70ab0640", "topic_page_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function", "extended_slug": "economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function", "slug": "consumption-function", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "42722cf7b2c6a4550c86f1f60c40e725961433a8", "standalone_title": "Consumption function", "y_pos": 0.0, "current_revision_key": "42722cf7b2c6a4550c86f1f60c40e725961433a8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial", "translated_standalone_title": "Keynesian Cross", "translated_title": "Keynesian cross", "gplus_url": "", "id": "x7c39fbcf", "old_key_name": "jM31sWFeUlj0dBNO6yyIwLA2FVhx8vaBvoLDz5Tv", "hide": false, "title": "Keynesian cross", "child_data": [{"kind": "Video", "id": 769896421}, {"kind": "Video", "id": 769845685}, {"kind": "Video", "id": 769801637}], "children": [{"translated_youtube_id": "sTw0e-hwYAQ", "relative_url": "/video/keynesian-cross", "has_questions": false, "keywords": "macroeconomics, keynes", "ka_url": "http://www.khanacademy.org/video/keynesian-cross", "duration": 560, "translated_title": "Keynesian cross", "translated_description_html": "Analyzing planned expenditures versus actual output using the Keynesian Cross", "id": "769896421", "description_html": "Analyzing planned expenditures versus actual output using the Keynesian Cross", "title": "Keynesian cross", "progress_key": "v769896421", "edit_slug": "edit/v/769896421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Analyzing planned expenditures versus actual output using the Keynesian Cross", "extra_properties": null, "node_slug": "v/keynesian-cross", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-07T20:23:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sTw0e-hwYAQ.mp4/sTw0e-hwYAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sTw0e-hwYAQ.mp4/sTw0e-hwYAQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sTw0e-hwYAQ.m3u8/sTw0e-hwYAQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sTw0e-hwYAQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769896421", "sha": "9f545149c9779358d5fdcc5279868abf7918aa70", "translated_description": "Analyzing planned expenditures versus actual output using the Keynesian Cross", "image_url": "https://img.youtube.com/vi/sTw0e-hwYAQ/hqdefault.jpg", "youtube_id": "sTw0e-hwYAQ", "content_kind": "Video", "readable_id": "keynesian-cross"}, {"translated_youtube_id": "xF_Z4QK0tsA", "relative_url": "/video/details-on-shifting-aggregate-planned-expenditures", "has_questions": false, "keywords": "macroeconomics, keynes", "ka_url": "http://www.khanacademy.org/video/details-on-shifting-aggregate-planned-expenditures", "duration": 705, "translated_title": "Details on shifting aggregate planned expenditures", "translated_description_html": "Showing how a change in government spending can lead to a new equilibrium", "id": "769845685", "description_html": "Showing how a change in government spending can lead to a new equilibrium", "title": "Details on shifting aggregate planned expenditures", "progress_key": "v769845685", "edit_slug": "edit/v/769845685", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Showing how a change in government spending can lead to a new equilibrium", "extra_properties": null, "node_slug": "v/details-on-shifting-aggregate-planned-expenditures", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-05-07T20:23:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xF_Z4QK0tsA.mp4/xF_Z4QK0tsA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xF_Z4QK0tsA.mp4/xF_Z4QK0tsA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xF_Z4QK0tsA.m3u8/xF_Z4QK0tsA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xF_Z4QK0tsA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769845685", "sha": "ddbdba588f4144a4372bc8d950955464a838fabb", "translated_description": "Showing how a change in government spending can lead to a new equilibrium", "image_url": "https://img.youtube.com/vi/xF_Z4QK0tsA/hqdefault.jpg", "youtube_id": "xF_Z4QK0tsA", "content_kind": "Video", "readable_id": "details-on-shifting-aggregate-planned-expenditures"}, {"translated_youtube_id": "aSY8XPGChAU", "relative_url": "/video/keynesian-cross-and-the-multiplier", "has_questions": false, "keywords": "macroeconomics, mps, mpc, marginal, propensity, save, consume", "ka_url": "http://www.khanacademy.org/video/keynesian-cross-and-the-multiplier", "duration": 627, "translated_title": "Keynesian cross and the multiplier", "translated_description_html": "More on shifting aggregate planned expenditures. Connecting to the multiplier", "id": "769801637", "description_html": "More on shifting aggregate planned expenditures. Connecting to the multiplier", "title": "Keynesian cross and the multiplier", "progress_key": "v769801637", "edit_slug": "edit/v/769801637", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More on shifting aggregate planned expenditures. Connecting to the multiplier", "extra_properties": null, "node_slug": "v/keynesian-cross-and-the-multiplier", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:24:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aSY8XPGChAU.mp4/aSY8XPGChAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aSY8XPGChAU.mp4/aSY8XPGChAU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aSY8XPGChAU.m3u8/aSY8XPGChAU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aSY8XPGChAU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769801637", "sha": "fa25f8a54ffa558083c1b49c7ac080f66b925efa", "translated_description": "More on shifting aggregate planned expenditures. Connecting to the multiplier", "image_url": "https://img.youtube.com/vi/aSY8XPGChAU/hqdefault.jpg", "youtube_id": "aSY8XPGChAU", "content_kind": "Video", "readable_id": "keynesian-cross-and-the-multiplier"}], "twitter_url": "", "translated_description": "We now build on our consumption function models and start to explore ideas of planned expenditures as a function of output. When plotted with the actual output line, we get our Keynesian Cross which helps us think about whether the economy is operating at its potential.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We now build on our consumption function models and start to explore ideas of planned expenditures as a function of output. When plotted with the actual output line, we get our Keynesian Cross which helps us think about whether the economy is operating at its potential.", "x_pos": 0.0, "node_slug": "keynesian-cross-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c39fbcf", "topic_page_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial", "slug": "keynesian-cross-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "cd330d6c523c87c1a04934627bc7bcf65d80d0e2", "standalone_title": "Keynesian Cross", "y_pos": 0.0, "current_revision_key": "cd330d6c523c87c1a04934627bc7bcf65d80d0e2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial", "translated_standalone_title": "IS-LM Model", "translated_title": "IS-LM model", "gplus_url": "", "id": "xfcd5e93b", "old_key_name": "6Aheyt1aT6rRibQEfyTgyInelL6jZNne4uMrHQ-K", "hide": false, "title": "IS-LM model", "child_data": [{"kind": "Video", "id": 769862738}, {"kind": "Video", "id": 769890241}, {"kind": "Video", "id": 769891485}, {"kind": "Video", "id": 769746025}, {"kind": "Video", "id": 769894517}], "children": [{"translated_youtube_id": "72p6uw5y-Rw", "relative_url": "/video/investment-and-real-interest-rates", "has_questions": false, "keywords": "macroeconomics", "ka_url": "http://www.khanacademy.org/video/investment-and-real-interest-rates", "duration": 359, "translated_title": "Investment and real interest rates", "translated_description_html": "Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment", "id": "769862738", "description_html": "Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment", "title": "Investment and real interest rates", "progress_key": "v769862738", "edit_slug": "edit/v/769862738", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment", "extra_properties": null, "node_slug": "v/investment-and-real-interest-rates", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-05-07T20:24:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/72p6uw5y-Rw.mp4/72p6uw5y-Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/72p6uw5y-Rw.mp4/72p6uw5y-Rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/72p6uw5y-Rw.m3u8/72p6uw5y-Rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=72p6uw5y-Rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769862738", "sha": "d614337f5cf4b6990cccad12e37b76defbe0ebb8", "translated_description": "Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment", "image_url": "https://img.youtube.com/vi/72p6uw5y-Rw/hqdefault.jpg", "youtube_id": "72p6uw5y-Rw", "content_kind": "Video", "readable_id": "investment-and-real-interest-rates"}, {"translated_youtube_id": "AW3bPaErUWU", "relative_url": "/video/connecting-the-keynesian-cross-to-the-is-curve", "has_questions": false, "keywords": "IS-LM, ISLM, model, IS/LM", "ka_url": "http://www.khanacademy.org/video/connecting-the-keynesian-cross-to-the-is-curve", "duration": 597, "translated_title": "Connecting the keynesian cross to the IS curve", "translated_description_html": "Introduction to the Investment/Savings curve", "id": "769890241", "description_html": "Introduction to the Investment/Savings curve", "title": "Connecting the keynesian cross to the IS curve", "progress_key": "v769890241", "edit_slug": "edit/v/769890241", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to the Investment/Savings curve", "extra_properties": null, "node_slug": "v/connecting-the-keynesian-cross-to-the-is-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:25:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AW3bPaErUWU.mp4/AW3bPaErUWU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AW3bPaErUWU.mp4/AW3bPaErUWU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AW3bPaErUWU.m3u8/AW3bPaErUWU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AW3bPaErUWU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769890241", "sha": "f7d18103d40d73046dacf6daa07555c07ea39bd6", "translated_description": "Introduction to the Investment/Savings curve", "image_url": "https://img.youtube.com/vi/AW3bPaErUWU/hqdefault.jpg", "youtube_id": "AW3bPaErUWU", "content_kind": "Video", "readable_id": "connecting-the-keynesian-cross-to-the-is-curve"}, {"translated_youtube_id": "blbR5f2dq_g", "relative_url": "/video/loanable-funds-interpretation-of-is-curve", "has_questions": false, "keywords": "ISLM, IS-LM, IS/LM", "ka_url": "http://www.khanacademy.org/video/loanable-funds-interpretation-of-is-curve", "duration": 367, "translated_title": "Loanable funds interpretation of IS curve", "translated_description_html": "Thinking about how real GDP can drive real interest rates", "id": "769891485", "description_html": "Thinking about how real GDP can drive real interest rates", "title": "Loanable funds interpretation of IS curve", "progress_key": "v769891485", "edit_slug": "edit/v/769891485", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about how real GDP can drive real interest rates", "extra_properties": null, "node_slug": "v/loanable-funds-interpretation-of-is-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-07T20:25:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/blbR5f2dq_g.mp4/blbR5f2dq_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/blbR5f2dq_g.mp4/blbR5f2dq_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/blbR5f2dq_g.m3u8/blbR5f2dq_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=blbR5f2dq_g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769891485", "sha": "122246205ec39cd6387942e0252644ae39587f09", "translated_description": "Thinking about how real GDP can drive real interest rates", "image_url": "https://img.youtube.com/vi/blbR5f2dq_g/hqdefault.jpg", "youtube_id": "blbR5f2dq_g", "content_kind": "Video", "readable_id": "loanable-funds-interpretation-of-is-curve"}, {"translated_youtube_id": "yro2jLBfyDQ", "relative_url": "/video/lm-part-of-the-is-lm-model", "has_questions": false, "keywords": "macroecnomics, IS, LM, IS/LM, Keynes", "ka_url": "http://www.khanacademy.org/video/lm-part-of-the-is-lm-model", "duration": 469, "translated_title": "LM part of the IS-LM model", "translated_description_html": "How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve", "id": "769746025", "description_html": "How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve", "title": "LM part of the IS-LM model", "progress_key": "v769746025", "edit_slug": "edit/v/769746025", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve", "extra_properties": null, "node_slug": "v/lm-part-of-the-is-lm-model", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-05-07T20:28:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yro2jLBfyDQ.mp4/yro2jLBfyDQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yro2jLBfyDQ.mp4/yro2jLBfyDQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yro2jLBfyDQ.m3u8/yro2jLBfyDQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yro2jLBfyDQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769746025", "sha": "e4cc1b86b75ed1111b3c66d81aa831aa28c201dc", "translated_description": "How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve", "image_url": "https://img.youtube.com/vi/yro2jLBfyDQ/hqdefault.jpg", "youtube_id": "yro2jLBfyDQ", "content_kind": "Video", "readable_id": "lm-part-of-the-is-lm-model"}, {"translated_youtube_id": "pzQnc_0eZA8", "relative_url": "/video/government-spending-and-the-is-lm-model", "has_questions": false, "keywords": "IS/LM, IS, LM, model", "ka_url": "http://www.khanacademy.org/video/government-spending-and-the-is-lm-model", "duration": 429, "translated_title": "Government spending and the IS-LM model", "translated_description_html": "How a change in fiscal policy shifts the IS curve", "id": "769894517", "description_html": "How a change in fiscal policy shifts the IS curve", "title": "Government spending and the IS-LM model", "progress_key": "v769894517", "edit_slug": "edit/v/769894517", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How a change in fiscal policy shifts the IS curve", "extra_properties": null, "node_slug": "v/government-spending-and-the-is-lm-model", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzQnc_0eZA8.mp4/pzQnc_0eZA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzQnc_0eZA8.mp4/pzQnc_0eZA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzQnc_0eZA8.m3u8/pzQnc_0eZA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzQnc_0eZA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769894517", "sha": "6fd46b10d565f6986f9ceba26345c2d981de480c", "translated_description": "How a change in fiscal policy shifts the IS curve", "image_url": "https://img.youtube.com/vi/pzQnc_0eZA8/hqdefault.jpg", "youtube_id": "pzQnc_0eZA8", "content_kind": "Video", "readable_id": "government-spending-and-the-is-lm-model"}], "twitter_url": "", "translated_description": "In this tutorial, we begin thinking about the impact of real interest rates on planned investment and output. We then use this to help us plot the IS curve. We then think about how, assuming a fixed money supply, as there is more economic activity, people are willing to pay more for money (helps us plot the LM curve). Finally, we use the IS-LM model to think about how fiscal policy can impact both GDP and real interest rates.\n\nYou should watch the Keynesian Cross tutorial before this one.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial, we begin thinking about the impact of real interest rates on planned investment and output. We then use this to help us plot the IS curve. We then think about how, assuming a fixed money supply, as there is more economic activity, people are willing to pay more for money (helps us plot the LM curve). Finally, we use the IS-LM model to think about how fiscal policy can impact both GDP and real interest rates.\n\nYou should watch the Keynesian Cross tutorial before this one.", "x_pos": 0.0, "node_slug": "is-lm-model-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfcd5e93b", "topic_page_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial", "extended_slug": "economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial", "slug": "is-lm-model-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "dd8b01e130a6e6ad312eb6985421f8a8b94e6097", "standalone_title": "IS-LM Model", "y_pos": 0.0, "current_revision_key": "dd8b01e130a6e6ad312eb6985421f8a8b94e6097", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Consumption function. Marginal propensity to consume and multiplier. Keynesian Cross and IS-LM model.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Consumption function. Marginal propensity to consume and multiplier. Keynesian Cross and IS-LM model.", "x_pos": 0.0, "node_slug": "income-and-expenditure-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9bf02cd2", "topic_page_url": "/economics-finance-domain/macroeconomics/income-and-expenditure-topic", "extended_slug": "economics-finance-domain/macroeconomics/income-and-expenditure-topic", "slug": "income-and-expenditure-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6ba02821c3eadfc60c08bdaec89f93c2b6e0e2ce", "standalone_title": "Income and expenditure - Keynesian cross and IS-LM model", "y_pos": 0.0, "current_revision_key": "6ba02821c3eadfc60c08bdaec89f93c2b6e0e2ce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/forex-trade-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic", "translated_standalone_title": "Foreign exchange and trade", "translated_title": "Foreign exchange and trade", "gplus_url": "", "id": "xc30c12c0", "old_key_name": "UsyALxzahaPfxPz8Sa1GBHBZ_RDAWNz6RSAGAdrb", "hide": false, "title": "Foreign exchange and trade", "child_data": [{"kind": "Topic", "id": "x4528f3fc"}, {"kind": "Topic", "id": "xe9378e39"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account", "translated_standalone_title": "Current and capital accounts", "translated_title": "Balance of payments- current account and capital account", "gplus_url": "", "id": "x4528f3fc", "old_key_name": "gV3S1_WKtCkUwNp88wQi5QX0577mcjc0kiEm6enL", "hide": false, "title": "Balance of payments- current account and capital account", "child_data": [{"kind": "Video", "id": 769859645}, {"kind": "Video", "id": 769953090}, {"kind": "Video", "id": 769915388}], "children": [{"translated_youtube_id": "dirBYVjDk7A", "relative_url": "/video/balance-of-payments--current-account", "has_questions": false, "keywords": "macroeconomics, current, account, capital, financial", "ka_url": "http://www.khanacademy.org/video/balance-of-payments--current-account", "duration": 389, "translated_title": "Balance of payments: Current account", "translated_description_html": "Understanding the United States Current Account in 2011", "id": "769859645", "description_html": "Understanding the United States Current Account in 2011", "title": "Balance of payments: Current account", "progress_key": "v769859645", "edit_slug": "edit/v/769859645", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the United States Current Account in 2011", "extra_properties": null, "node_slug": "v/balance-of-payments--current-account", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-07T20:29:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dirBYVjDk7A.mp4/dirBYVjDk7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dirBYVjDk7A.mp4/dirBYVjDk7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dirBYVjDk7A.m3u8/dirBYVjDk7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dirBYVjDk7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769859645", "sha": "28d4a0ba5680b34e86ef3d668174a66215fc1893", "translated_description": "Understanding the United States Current Account in 2011", "image_url": "https://img.youtube.com/vi/dirBYVjDk7A/hqdefault.jpg", "youtube_id": "dirBYVjDk7A", "content_kind": "Video", "readable_id": "balance-of-payments--current-account"}, {"translated_youtube_id": "AimYG1jYD0A", "relative_url": "/video/balance-of-payments--capital-account", "has_questions": false, "keywords": "macroeconomics, balance, of, payments", "ka_url": "http://www.khanacademy.org/video/balance-of-payments--capital-account", "duration": 447, "translated_title": "Balance of payments: Capital account", "translated_description_html": "Understanding how changes in foreign ownership of assets effects balance of payments", "id": "769953090", "description_html": "Understanding how changes in foreign ownership of assets effects balance of payments", "title": "Balance of payments: Capital account", "progress_key": "v769953090", "edit_slug": "edit/v/769953090", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding how changes in foreign ownership of assets effects balance of payments", "extra_properties": null, "node_slug": "v/balance-of-payments--capital-account", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:29:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AimYG1jYD0A.mp4/AimYG1jYD0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AimYG1jYD0A.mp4/AimYG1jYD0A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AimYG1jYD0A.m3u8/AimYG1jYD0A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AimYG1jYD0A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769953090", "sha": "db31171a6d37d6ecd9e00616e4aecb22790921cb", "translated_description": "Understanding how changes in foreign ownership of assets effects balance of payments", "image_url": "https://img.youtube.com/vi/AimYG1jYD0A/hqdefault.jpg", "youtube_id": "AimYG1jYD0A", "content_kind": "Video", "readable_id": "balance-of-payments--capital-account"}, {"translated_youtube_id": "tYmMEqro8D4", "relative_url": "/video/why-current-and-capital-accounts-net-out", "has_questions": false, "keywords": "macroeconomics, balance, of, trade", "ka_url": "http://www.khanacademy.org/video/why-current-and-capital-accounts-net-out", "duration": 434, "translated_title": "Why current and capital accounts net out", "translated_description_html": "Intuition behind why the current account and capital account should balance", "id": "769915388", "description_html": "Intuition behind why the current account and capital account should balance", "title": "Why current and capital accounts net out", "progress_key": "v769915388", "edit_slug": "edit/v/769915388", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Intuition behind why the current account and capital account should balance", "extra_properties": null, "node_slug": "v/why-current-and-capital-accounts-net-out", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-07T20:30:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tYmMEqro8D4.mp4/tYmMEqro8D4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tYmMEqro8D4.mp4/tYmMEqro8D4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tYmMEqro8D4.m3u8/tYmMEqro8D4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tYmMEqro8D4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v769915388", "sha": "89811ac6fde95faa38a12f81393ad861a0c61b83", "translated_description": "Intuition behind why the current account and capital account should balance", "image_url": "https://img.youtube.com/vi/tYmMEqro8D4/hqdefault.jpg", "youtube_id": "tYmMEqro8D4", "content_kind": "Video", "readable_id": "why-current-and-capital-accounts-net-out"}], "twitter_url": "", "translated_description": "In this tutorial we will see how trade and assets (including money) changing hands are fundamentally intertwined. Not only that, but we will see how this can be accounted for through the capital account (assets changing hands) and current account (trade).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial we will see how trade and assets (including money) changing hands are fundamentally intertwined. Not only that, but we will see how this can be accounted for through the capital account (assets changing hands) and current account (trade).", "x_pos": 0.0, "node_slug": "current-capital-account", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4528f3fc", "topic_page_url": "/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account", "extended_slug": "economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account", "slug": "current-capital-account", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "ebf1efa89f7a9ae11d535e1c58eee1879e37ae95", "standalone_title": "Current and capital accounts", "y_pos": 0.0, "current_revision_key": "ebf1efa89f7a9ae11d535e1c58eee1879e37ae95", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves", "translated_standalone_title": "Currency reserves", "translated_title": "Currency reserves", "gplus_url": "", "id": "xe9378e39", "old_key_name": "K76gNQbw7LteFIRfSnHNTDf8usFwfGWSNFK148S6", "hide": false, "title": "Currency reserves", "child_data": [{"kind": "Video", "id": 796511718}, {"kind": "Video", "id": 796550439}, {"kind": "Video", "id": 796575432}, {"kind": "Video", "id": 796388970}, {"kind": "Video", "id": 796509722}], "children": [{"translated_youtube_id": "HiphWQfB6J0", "relative_url": "/video/accumulating-foreign-currency-reserves", "has_questions": false, "keywords": "Accumulating, Foreign, Currency, Reserves", "ka_url": "http://www.khanacademy.org/video/accumulating-foreign-currency-reserves", "duration": 215, "translated_title": "Accumulating foreign currency reserves", "translated_description_html": "How and why a central bank would build foreign currency reserves", "id": "796511718", "description_html": "How and why a central bank would build foreign currency reserves", "title": "Accumulating foreign currency reserves", "progress_key": "v796511718", "edit_slug": "edit/v/796511718", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How and why a central bank would build foreign currency reserves", "extra_properties": null, "node_slug": "v/accumulating-foreign-currency-reserves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:53:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HiphWQfB6J0.mp4/HiphWQfB6J0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HiphWQfB6J0.mp4/HiphWQfB6J0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HiphWQfB6J0.m3u8/HiphWQfB6J0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HiphWQfB6J0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796511718", "sha": "5b1c3e1534c2a32ce49afb67f9cb1e3315f7006c", "translated_description": "How and why a central bank would build foreign currency reserves", "image_url": "https://img.youtube.com/vi/HiphWQfB6J0/hqdefault.jpg", "youtube_id": "HiphWQfB6J0", "content_kind": "Video", "readable_id": "accumulating-foreign-currency-reserves"}, {"translated_youtube_id": "TZ7d5kjAlQw", "relative_url": "/video/using-reserves-to-stablize-currency", "has_questions": false, "keywords": "macroeconomics, currency, crisis", "ka_url": "http://www.khanacademy.org/video/using-reserves-to-stablize-currency", "duration": 309, "translated_title": "Using reserves to stabilize currency", "translated_description_html": "How a central bank could use foreign currency reserves to keep its own currency from devaluing", "id": "796550439", "description_html": "How a central bank could use foreign currency reserves to keep its own currency from devaluing", "title": "Using reserves to stabilize currency", "progress_key": "v796550439", "edit_slug": "edit/v/796550439", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How a central bank could use foreign currency reserves to keep its own currency from devaluing", "extra_properties": null, "node_slug": "v/using-reserves-to-stablize-currency", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:54:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.mp4/TZ7d5kjAlQw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.mp4/TZ7d5kjAlQw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.m3u8/TZ7d5kjAlQw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TZ7d5kjAlQw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796550439", "sha": "3545e12270b906ca4993908029c5aeeedd448022", "translated_description": "How a central bank could use foreign currency reserves to keep its own currency from devaluing", "image_url": "https://img.youtube.com/vi/TZ7d5kjAlQw/hqdefault.jpg", "youtube_id": "TZ7d5kjAlQw", "content_kind": "Video", "readable_id": "using-reserves-to-stablize-currency"}, {"translated_youtube_id": "P2IWGlR1SHs", "relative_url": "/video/speculative-attack-on-a-currency", "has_questions": false, "keywords": "Speculative, Attack, on, a, Currency", "ka_url": "http://www.khanacademy.org/video/speculative-attack-on-a-currency", "duration": 469, "translated_title": "Speculative attack on a currency", "translated_description_html": "", "id": "796575432", "description_html": "", "title": "Speculative attack on a currency", "progress_key": "v796575432", "edit_slug": "edit/v/796575432", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": null, "node_slug": "v/speculative-attack-on-a-currency", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:55:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P2IWGlR1SHs.mp4/P2IWGlR1SHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P2IWGlR1SHs.mp4/P2IWGlR1SHs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P2IWGlR1SHs.m3u8/P2IWGlR1SHs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P2IWGlR1SHs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796575432", "sha": "a0373590d1e4ca08e79e32019d1ab540276da990", "translated_description": "", "image_url": "https://img.youtube.com/vi/P2IWGlR1SHs/hqdefault.jpg", "youtube_id": "P2IWGlR1SHs", "content_kind": "Video", "readable_id": "speculative-attack-on-a-currency"}, {"translated_youtube_id": "lA3sjWwu5-s", "relative_url": "/video/financial-crisis-in-thailand-caused-by-speculative-attack", "has_questions": false, "keywords": "thailand, macroeconomics, currency", "ka_url": "http://www.khanacademy.org/video/financial-crisis-in-thailand-caused-by-speculative-attack", "duration": 393, "translated_title": "Financial crisis in Thailand caused by speculative attack", "translated_description_html": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "id": "796388970", "description_html": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "title": "Financial crisis in Thailand caused by speculative attack", "progress_key": "v796388970", "edit_slug": "edit/v/796388970", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "extra_properties": null, "node_slug": "v/financial-crisis-in-thailand-caused-by-speculative-attack", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-21T17:55:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.m3u8/lA3sjWwu5-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lA3sjWwu5-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796388970", "sha": "f910eb87c642b030ec526faac24ab07b5518e715", "translated_description": "How a currency crisis in Thailand led to a banking crisis in the 1990s", "image_url": "https://img.youtube.com/vi/lA3sjWwu5-s/hqdefault.jpg", "youtube_id": "lA3sjWwu5-s", "content_kind": "Video", "readable_id": "financial-crisis-in-thailand-caused-by-speculative-attack"}, {"translated_youtube_id": "9p3HNMe-oAI", "relative_url": "/video/math-mechanics-of-thai-banking-crisis", "has_questions": false, "keywords": "macroeconomics, thai, currency, crisis", "ka_url": "http://www.khanacademy.org/video/math-mechanics-of-thai-banking-crisis", "duration": 461, "translated_title": "Math mechanics of Thai banking crisis", "translated_description_html": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "id": "796509722", "description_html": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "title": "Math mechanics of Thai banking crisis", "progress_key": "v796509722", "edit_slug": "edit/v/796509722", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "extra_properties": null, "node_slug": "v/math-mechanics-of-thai-banking-crisis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:56:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.mp4/9p3HNMe-oAI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.mp4/9p3HNMe-oAI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9p3HNMe-oAI.m3u8/9p3HNMe-oAI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9p3HNMe-oAI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796509722", "sha": "a1990b5675776c032eb3c2d5f4cc111577168487", "translated_description": "Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.", "image_url": "https://img.youtube.com/vi/9p3HNMe-oAI/hqdefault.jpg", "youtube_id": "9p3HNMe-oAI", "content_kind": "Video", "readable_id": "math-mechanics-of-thai-banking-crisis"}], "twitter_url": "", "translated_description": "This tutorial delves into how and why countries (usually their central banks) would want to keep other countries' currency in reserve. It then goes into why this sometime leaves the reserve-holding country open to a speculative attack (this is seriously high drama).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial delves into how and why countries (usually their central banks) would want to keep other countries' currency in reserve. It then goes into why this sometime leaves the reserve-holding country open to a speculative attack (this is seriously high drama).", "x_pos": 0.0, "node_slug": "currency-reserves", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe9378e39", "topic_page_url": "/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves", "extended_slug": "economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves", "slug": "currency-reserves", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e3b40d3126f0d257efb9a8b58b4edbc75758caa7", "standalone_title": "Currency reserves", "y_pos": 0.0, "current_revision_key": "e3b40d3126f0d257efb9a8b58b4edbc75758caa7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Balance of payments. Current account. Capital account. Currency reserves and speculative attacks.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Balance of payments. Current account. Capital account. Currency reserves and speculative attacks.", "x_pos": 0.0, "node_slug": "forex-trade-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc30c12c0", "topic_page_url": "/economics-finance-domain/macroeconomics/forex-trade-topic", "extended_slug": "economics-finance-domain/macroeconomics/forex-trade-topic", "slug": "forex-trade-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e47942c7fb7f32a36715d7ceda503dc762a40c35", "standalone_title": "Foreign exchange and trade", "y_pos": 0.0, "current_revision_key": "e47942c7fb7f32a36715d7ceda503dc762a40c35", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Topics covered in a traditional college level introductory macroeconomics course", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Topics covered in a traditional college level introductory macroeconomics course", "x_pos": 0.0, "node_slug": "macroeconomics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb796673d", "topic_page_url": "/economics-finance-domain/macroeconomics", "extended_slug": "economics-finance-domain/macroeconomics", "slug": "macroeconomics", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b2886178f490b47d519d4125dcee6b4aa4daf2c4", "standalone_title": "Macroeconomics", "y_pos": 0.0, "current_revision_key": "b2886178f490b47d519d4125dcee6b4aa4daf2c4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance", "translated_standalone_title": "Finance and capital markets", "translated_title": "Finance and capital markets", "gplus_url": "", "id": "x7b572fe4", "old_key_name": "4-99VeZwLfWrFshn3GaFatIobmGc_bjjjAZY1SWP", "hide": false, "title": "Finance and capital markets", "child_data": [{"kind": "Topic", "id": "xb9498306"}, {"kind": "Topic", "id": "x1f4c64fb"}, {"kind": "Topic", "id": "xc29ba30c"}, {"kind": "Topic", "id": "x3fcefa26"}, {"kind": "Topic", "id": "xc788cc9a"}, {"kind": "Topic", "id": "xf81b84d6"}, {"kind": "Topic", "id": "x7568a183"}, {"kind": "Topic", "id": "xc1e8c32f"}, {"kind": "Topic", "id": "xcbcda7d7"}, {"kind": "Topic", "id": "x8c96df53"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial", "translated_standalone_title": "Interest", "translated_title": "Interest and debt", "gplus_url": "", "id": "xb9498306", "old_key_name": "iemHNszZoxIFLL6Krny9GvkP41nczAHV3dv-x77p", "hide": false, "title": "Interest and debt", "child_data": [{"kind": "Topic", "id": "x5d65de66"}, {"kind": "Topic", "id": "x5c26dce6"}, {"kind": "Topic", "id": "xd694d20d"}, {"kind": "Topic", "id": "x942af81b"}, {"kind": "Topic", "id": "xa1e123c1"}, {"kind": "Topic", "id": "x4fc0528c"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial", "translated_standalone_title": "Compound interest basics", "translated_title": "Compound interest basics", "gplus_url": "", "id": "x5d65de66", "old_key_name": "_vLErO4xBeES8u-9moI_d46fUHRs6U23ykv2293X", "hide": false, "title": "Compound interest basics", "child_data": [{"kind": "Video", "id": 1587287}, {"kind": "Video", "id": 1591277}], "children": [{"translated_youtube_id": "Rm6UdfRs3gw", "relative_url": "/video/introduction-to-compound-interest", "has_questions": false, "keywords": "compound, interest", "ka_url": "http://www.khanacademy.org/video/introduction-to-compound-interest", "duration": 416, "translated_title": "Introduction to compound interest", "translated_description_html": "

Introduction to compound interest<\/p>", "id": "1587287", "description_html": "

Introduction to compound interest<\/p>", "title": "Introduction to compound interest", "progress_key": "v1587287", "edit_slug": "edit/v/1587287", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to compound interest", "extra_properties": {}, "node_slug": "v/introduction-to-compound-interest", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rm6UdfRs3gw.mp4/Rm6UdfRs3gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rm6UdfRs3gw.mp4/Rm6UdfRs3gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rm6UdfRs3gw.m3u8/Rm6UdfRs3gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rm6UdfRs3gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1587287", "sha": "771b567179664ab8096ac4b376d9752ef74c6e5d", "translated_description": "Introduction to compound interest", "image_url": "https://img.youtube.com/vi/Rm6UdfRs3gw/hqdefault.jpg", "youtube_id": "Rm6UdfRs3gw", "content_kind": "Video", "readable_id": "introduction-to-compound-interest"}, {"translated_youtube_id": "mec-QpjQMXY", "relative_url": "/video/the-rule-of-72-for-compound-interest", "has_questions": false, "keywords": "compound, interest, rule, 72", "ka_url": "http://www.khanacademy.org/video/the-rule-of-72-for-compound-interest", "duration": 568, "translated_title": "The rule of 72 for compound interest", "translated_description_html": "

Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate<\/p>", "id": "1591277", "description_html": "

Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate<\/p>", "title": "The rule of 72 for compound interest", "progress_key": "v1591277", "edit_slug": "edit/v/1591277", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate", "extra_properties": {}, "node_slug": "v/the-rule-of-72-for-compound-interest", "deleted": false, "backup_timestamp": "2013-09-28T00:26:44Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mec-QpjQMXY.mp4/mec-QpjQMXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mec-QpjQMXY.mp4/mec-QpjQMXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mec-QpjQMXY.m3u8/mec-QpjQMXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mec-QpjQMXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1591277", "sha": "2b7887f2258730306a01f9f5215714f936e3c69d", "translated_description": "Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate", "image_url": "https://img.youtube.com/vi/mec-QpjQMXY/hqdefault.jpg", "youtube_id": "mec-QpjQMXY", "content_kind": "Video", "readable_id": "the-rule-of-72-for-compound-interest"}], "twitter_url": "", "translated_description": "Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing).\n\nThis tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing).\n\nThis tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head.", "x_pos": 0.0, "node_slug": "compound-interest-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5d65de66", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial", "slug": "compound-interest-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3901572815cedfe99886c4c9408edf4ac3c2258c", "standalone_title": "Compound interest basics", "y_pos": 0.0, "current_revision_key": "3901572815cedfe99886c4c9408edf4ac3c2258c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial", "translated_standalone_title": "Interest basics", "translated_title": "Interest basics", "gplus_url": "", "id": "x5c26dce6", "old_key_name": "tz5YMywFAwr3M0Mv8GDMXLl-5mcbajSCarWF75-O", "hide": false, "title": "Interest basics", "child_data": [{"kind": "Video", "id": 24798}, {"kind": "Video", "id": 24800}], "children": [{"translated_youtube_id": "GtaoP0skPWc", "relative_url": "/video/introduction-to-interest", "has_questions": false, "keywords": "math, finance, interest, simple, compound, CC_7_RP_3, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/introduction-to-interest", "duration": 596, "translated_title": "Introduction to interest", "translated_description_html": "What interest is. Simple versus compound interest.", "id": "24798", "description_html": "What interest is. Simple versus compound interest.", "title": "Introduction to interest", "progress_key": "v24798", "edit_slug": "edit/v/24798", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What interest is. Simple versus compound interest.", "extra_properties": null, "node_slug": "v/introduction-to-interest", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.m3u8/GtaoP0skPWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GtaoP0skPWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24798", "sha": "2e696d30937a0be75fc9d375bf12c33d1753650c", "translated_description": "What interest is. Simple versus compound interest.", "image_url": "https://img.youtube.com/vi/GtaoP0skPWc/hqdefault.jpg", "youtube_id": "GtaoP0skPWc", "content_kind": "Video", "readable_id": "introduction-to-interest"}, {"translated_youtube_id": "t4zfiBw0hwM", "relative_url": "/video/interest--part-2", "has_questions": false, "keywords": "simple, compound, interest, math, finance, money, CC_39336_A-SSE_3_c", "ka_url": "http://www.khanacademy.org/video/interest--part-2", "duration": 481, "translated_title": "Interest (part 2)", "translated_description_html": "More on simple and compound interest", "id": "24800", "description_html": "More on simple and compound interest", "title": "Interest (part 2)", "progress_key": "v24800", "edit_slug": "edit/v/24800", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on simple and compound interest", "extra_properties": null, "node_slug": "v/interest--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.mp4/t4zfiBw0hwM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.mp4/t4zfiBw0hwM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t4zfiBw0hwM.m3u8/t4zfiBw0hwM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t4zfiBw0hwM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24800", "sha": "80aaa8aae88c53d6b717707987a0ccb644790658", "translated_description": "More on simple and compound interest", "image_url": "https://img.youtube.com/vi/t4zfiBw0hwM/hqdefault.jpg", "youtube_id": "t4zfiBw0hwM", "content_kind": "Video", "readable_id": "interest--part-2"}], "twitter_url": "", "translated_description": "This is a good introduction to the basic concept of interest. We will warn you that it is an older video so Sal's sound and handwriting weren't quite up to snuff then.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is a good introduction to the basic concept of interest. We will warn you that it is an older video so Sal's sound and handwriting weren't quite up to snuff then.", "x_pos": 0.0, "node_slug": "interest-basics-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5c26dce6", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial", "slug": "interest-basics-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "58cb4ecde8fa003b8717b96091efd1e86f64e500", "standalone_title": "Interest basics", "y_pos": 0.0, "current_revision_key": "58cb4ecde8fa003b8717b96091efd1e86f64e500", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest", "translated_standalone_title": "Interest on credit cards and loans", "translated_title": "Credit cards and loans", "gplus_url": "", "id": "xd694d20d", "old_key_name": "TYbj23RYr6nVdmpIw-kKqQx8yf7B-VB_Ru152Za-", "hide": false, "title": "Credit cards and loans", "child_data": [{"kind": "Video", "id": 1578306}, {"kind": "Video", "id": 24923}, {"kind": "Video", "id": 1663225}], "children": [{"translated_youtube_id": "RuPMsK0mQC8", "relative_url": "/video/annual-percentage-rate--apr--and-effective-apr", "has_questions": false, "keywords": "APR, annual, percentage, rate, effective", "ka_url": "http://www.khanacademy.org/video/annual-percentage-rate--apr--and-effective-apr", "duration": 450, "translated_title": "Annual percentage rate (APR) and effective APR", "translated_description_html": "

The difference between APR and effective APR<\/p>", "id": "1578306", "description_html": "

The difference between APR and effective APR<\/p>", "title": "Annual percentage rate (APR) and effective APR", "progress_key": "v1578306", "edit_slug": "edit/v/1578306", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The difference between APR and effective APR", "extra_properties": {}, "node_slug": "v/annual-percentage-rate--apr--and-effective-apr", "deleted": false, "backup_timestamp": "2013-09-28T06:01:25Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RuPMsK0mQC8.mp4/RuPMsK0mQC8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RuPMsK0mQC8.mp4/RuPMsK0mQC8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RuPMsK0mQC8.m3u8/RuPMsK0mQC8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RuPMsK0mQC8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1578306", "sha": "d5936ea72098a0f10a51f3a41ed6ed43390673f1", "translated_description": "The difference between APR and effective APR", "image_url": "https://img.youtube.com/vi/RuPMsK0mQC8/hqdefault.jpg", "youtube_id": "RuPMsK0mQC8", "content_kind": "Video", "readable_id": "annual-percentage-rate--apr--and-effective-apr"}, {"translated_youtube_id": "IPxQQNyCxas", "relative_url": "/video/institutional-roles-in-issuing-and-processing-credit-cards", "has_questions": false, "keywords": "credit, card, processing, visa, interchange, discount", "ka_url": "http://www.khanacademy.org/video/institutional-roles-in-issuing-and-processing-credit-cards", "duration": 719, "translated_title": "Institutional roles in issuing and processing credit cards", "translated_description_html": "

The institutions involved in processing your credit credit and how they relate to each other<\/p>", "id": "24923", "description_html": "

The institutions involved in processing your credit credit and how they relate to each other<\/p>", "title": "Institutional roles in issuing and processing credit cards", "progress_key": "v24923", "edit_slug": "edit/v/24923", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The institutions involved in processing your credit credit and how they relate to each other", "extra_properties": {}, "node_slug": "v/institutional-roles-in-issuing-and-processing-credit-cards", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-02-20T16:42:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IPxQQNyCxas.mp4/IPxQQNyCxas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IPxQQNyCxas.mp4/IPxQQNyCxas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IPxQQNyCxas.m3u8/IPxQQNyCxas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IPxQQNyCxas&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24923", "sha": "fd3cc581fdc0493ecf0e51800efffb02a794941c", "translated_description": "The institutions involved in processing your credit credit and how they relate to each other", "image_url": "https://img.youtube.com/vi/IPxQQNyCxas/hqdefault.jpg", "youtube_id": "IPxQQNyCxas", "content_kind": "Video", "readable_id": "institutional-roles-in-issuing-and-processing-credit-cards"}, {"translated_youtube_id": "BHTMuHvmarU", "relative_url": "/video/payday-loans", "has_questions": false, "keywords": "payday, lending, loans", "ka_url": "http://www.khanacademy.org/video/payday-loans", "duration": 626, "translated_title": "Payday loans", "translated_description_html": "How Payday lending works", "id": "1663225", "description_html": "How Payday lending works", "title": "Payday loans", "progress_key": "v1663225", "edit_slug": "edit/v/1663225", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How Payday lending works", "extra_properties": null, "node_slug": "v/payday-loans", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:42:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BHTMuHvmarU.mp4/BHTMuHvmarU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BHTMuHvmarU.mp4/BHTMuHvmarU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BHTMuHvmarU.m3u8/BHTMuHvmarU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BHTMuHvmarU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1663225", "sha": "e029f32f8b40c5138db400356be6a5fa3d5a6321", "translated_description": "How Payday lending works", "image_url": "https://img.youtube.com/vi/BHTMuHvmarU/hqdefault.jpg", "youtube_id": "BHTMuHvmarU", "content_kind": "Video", "readable_id": "payday-loans"}], "twitter_url": "", "translated_description": "Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation).\n\nThis tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called \"payday\" loans.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation).\n\nThis tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called \"payday\" loans.", "x_pos": 0.0, "node_slug": "credit-card-interest", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd694d20d", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/credit-card-interest", "slug": "credit-card-interest", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "741788c25c48fc5daf91d2670b694952754eace2", "standalone_title": "Interest on credit cards and loans", "y_pos": 0.0, "current_revision_key": "741788c25c48fc5daf91d2670b694952754eace2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e", "translated_standalone_title": "Continuous compound interest and e", "translated_title": "Continuous compound interest and e", "gplus_url": "", "id": "x942af81b", "old_key_name": "7zihNcAuwonv9i0NIhzTZaXKYASWbX3JMhhNLUIK", "hide": false, "title": "Continuous compound interest and e", "child_data": [{"kind": "Video", "id": "xadd2e89f"}, {"kind": "Video", "id": "x3de9db0c"}, {"kind": "Video", "id": "x4169ef62"}], "children": [{"translated_youtube_id": "BKGx8GMVu88", "relative_url": "/video/e-through-compound-interest", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e-through-compound-interest", "duration": 698, "translated_title": "e and compound interest", "translated_description_html": "", "id": "xadd2e89f", "description_html": "", "title": "e and compound interest", "progress_key": "vxadd2e89f", "edit_slug": "edit/v/xadd2e89f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/e-through-compound-interest", "deleted": false, "backup_timestamp": "2013-11-18T17:53:23Z", "date_added": "2013-11-18T17:53:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BKGx8GMVu88.mp4/BKGx8GMVu88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BKGx8GMVu88.mp4/BKGx8GMVu88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BKGx8GMVu88.m3u8/BKGx8GMVu88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BKGx8GMVu88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxadd2e89f", "sha": "d98ca68887561458280b31eab3157ee065e607a5", "translated_description": "", "image_url": "https://img.youtube.com/vi/BKGx8GMVu88/hqdefault.jpg", "youtube_id": "BKGx8GMVu88", "content_kind": "Video", "readable_id": "e-through-compound-interest"}, {"translated_youtube_id": "oQhp3ndj28Y", "relative_url": "/video/e-as-limit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/e-as-limit", "duration": 339, "translated_title": "e as a limit", "translated_description_html": "", "id": "x3de9db0c", "description_html": "", "title": "e as a limit", "progress_key": "vx3de9db0c", "edit_slug": "edit/v/x3de9db0c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/e-as-limit", "deleted": false, "backup_timestamp": "2013-11-18T19:31:13Z", "date_added": "2013-11-18T19:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oQhp3ndj28Y.mp4/oQhp3ndj28Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oQhp3ndj28Y.mp4/oQhp3ndj28Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oQhp3ndj28Y.m3u8/oQhp3ndj28Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oQhp3ndj28Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3de9db0c", "sha": "f2c93002e95a97926aa082f78a40abe13d28f0b9", "translated_description": "", "image_url": "https://img.youtube.com/vi/oQhp3ndj28Y/hqdefault.jpg", "youtube_id": "oQhp3ndj28Y", "content_kind": "Video", "readable_id": "e-as-limit"}, {"translated_youtube_id": "o5QRdHH8aeQ", "relative_url": "/video/continuously-compounding-interest-formula-e", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/continuously-compounding-interest-formula-e", "duration": 539, "translated_title": "Formula for continuously compounding interest", "translated_description_html": "", "id": "x4169ef62", "description_html": "", "title": "Formula for continuously compounding interest", "progress_key": "vx4169ef62", "edit_slug": "edit/v/x4169ef62", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/continuously-compounding-interest-formula-e", "deleted": false, "backup_timestamp": "2013-11-18T19:31:13Z", "date_added": "2013-11-18T19:31:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o5QRdHH8aeQ.mp4/o5QRdHH8aeQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o5QRdHH8aeQ.mp4/o5QRdHH8aeQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o5QRdHH8aeQ.m3u8/o5QRdHH8aeQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o5QRdHH8aeQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4169ef62", "sha": "12b8cc6b8e83a5eab346e201a0e2932700903500", "translated_description": "", "image_url": "https://img.youtube.com/vi/o5QRdHH8aeQ/hqdefault.jpg", "youtube_id": "o5QRdHH8aeQ", "content_kind": "Video", "readable_id": "continuously-compounding-interest-formula-e"}], "twitter_url": "", "translated_description": "This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.", "x_pos": 0.0, "node_slug": "cont-comp-int-and-e", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax942af81b", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e", "slug": "cont-comp-int-and-e", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "01063cece9814921f7794cdf8fc0715225c11b02", "standalone_title": "Continuous compound interest and e", "y_pos": 0.0, "current_revision_key": "01063cece9814921f7794cdf8fc0715225c11b02", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/present-value", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value", "translated_standalone_title": "Present value", "translated_title": "Present value", "gplus_url": "", "id": "xa1e123c1", "old_key_name": "7i4WgL36IlMVCjTs-EeuGBChc6MxTlcrvcIZTV-i", "hide": false, "title": "Present value", "child_data": [{"kind": "Video", "id": 195783499}, {"kind": "Video", "id": 24802}, {"kind": "Video", "id": 24804}, {"kind": "Video", "id": 24806}, {"kind": "Video", "id": 24808}], "children": [{"translated_youtube_id": "733mgqrzNKs", "relative_url": "/video/time-value-of-money", "has_questions": false, "keywords": "Present, future, value, time, finance", "ka_url": "http://www.khanacademy.org/video/time-value-of-money", "duration": 514, "translated_title": "Time value of money", "translated_description_html": "

Why when you get your money matters as much as how much money. Present and future value also discussed.<\/p>", "id": "195783499", "description_html": "

Why when you get your money matters as much as how much money. Present and future value also discussed.<\/p>", "title": "Time value of money", "progress_key": "v195783499", "edit_slug": "edit/v/195783499", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why when you get your money matters as much as how much money. Present and future value also discussed.", "extra_properties": {}, "node_slug": "v/time-value-of-money", "deleted": false, "backup_timestamp": "2013-09-28T00:26:44Z", "date_added": "2011-08-12T18:49:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/733mgqrzNKs.mp4/733mgqrzNKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/733mgqrzNKs.mp4/733mgqrzNKs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/733mgqrzNKs.m3u8/733mgqrzNKs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=733mgqrzNKs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v195783499", "sha": "b8eef05a2aa2b4339c2ff66040cacfe2f0a11ae5", "translated_description": "Why when you get your money matters as much as how much money. Present and future value also discussed.", "image_url": "https://img.youtube.com/vi/733mgqrzNKs/hqdefault.jpg", "youtube_id": "733mgqrzNKs", "content_kind": "Video", "readable_id": "time-value-of-money"}, {"translated_youtube_id": "ks33lMoxst0", "relative_url": "/video/introduction-to-present-value", "has_questions": false, "keywords": "present, value, finance", "ka_url": "http://www.khanacademy.org/video/introduction-to-present-value", "duration": 619, "translated_title": "Introduction to present value", "translated_description_html": "A choice between money now and money later.", "id": "24802", "description_html": "A choice between money now and money later.", "title": "Introduction to present value", "progress_key": "v24802", "edit_slug": "edit/v/24802", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A choice between money now and money later.", "extra_properties": null, "node_slug": "v/introduction-to-present-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ks33lMoxst0.mp4/ks33lMoxst0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ks33lMoxst0.mp4/ks33lMoxst0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ks33lMoxst0.m3u8/ks33lMoxst0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ks33lMoxst0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24802", "sha": "7619a183300bce66ac72052aae1a043922d464fb", "translated_description": "A choice between money now and money later.", "image_url": "https://img.youtube.com/vi/ks33lMoxst0/hqdefault.jpg", "youtube_id": "ks33lMoxst0", "content_kind": "Video", "readable_id": "introduction-to-present-value"}, {"translated_youtube_id": "4LSktB7Pk_c", "relative_url": "/video/present-value-2", "has_questions": false, "keywords": "present, value, discount, cash, flow", "ka_url": "http://www.khanacademy.org/video/present-value-2", "duration": 611, "translated_title": "Present value 2", "translated_description_html": "More choices as to when you get your money.", "id": "24804", "description_html": "More choices as to when you get your money.", "title": "Present value 2", "progress_key": "v24804", "edit_slug": "edit/v/24804", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More choices as to when you get your money.", "extra_properties": null, "node_slug": "v/present-value-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4LSktB7Pk_c.mp4/4LSktB7Pk_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4LSktB7Pk_c.mp4/4LSktB7Pk_c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4LSktB7Pk_c.m3u8/4LSktB7Pk_c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4LSktB7Pk_c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24804", "sha": "98ce8fe7f1db16b6565bb36ecb2d1f7443de4157", "translated_description": "More choices as to when you get your money.", "image_url": "https://img.youtube.com/vi/4LSktB7Pk_c/hqdefault.jpg", "youtube_id": "4LSktB7Pk_c", "content_kind": "Video", "readable_id": "present-value-2"}, {"translated_youtube_id": "3SgVUlEcOBU", "relative_url": "/video/present-value-3", "has_questions": false, "keywords": "present, value, DCF, finance", "ka_url": "http://www.khanacademy.org/video/present-value-3", "duration": 462, "translated_title": "Present value 3", "translated_description_html": "What happens when we change the discount rate?", "id": "24806", "description_html": "What happens when we change the discount rate?", "title": "Present value 3", "progress_key": "v24806", "edit_slug": "edit/v/24806", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens when we change the discount rate?", "extra_properties": null, "node_slug": "v/present-value-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3SgVUlEcOBU.mp4/3SgVUlEcOBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3SgVUlEcOBU.mp4/3SgVUlEcOBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3SgVUlEcOBU.m3u8/3SgVUlEcOBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3SgVUlEcOBU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24806", "sha": "38b0144f1358896665fe513f81ed16c47ce772ba", "translated_description": "What happens when we change the discount rate?", "image_url": "https://img.youtube.com/vi/3SgVUlEcOBU/hqdefault.jpg", "youtube_id": "3SgVUlEcOBU", "content_kind": "Video", "readable_id": "present-value-3"}, {"translated_youtube_id": "6WCfVjUTTEY", "relative_url": "/video/present-value-4--and-discounted-cash-flow", "has_questions": false, "keywords": "present, value, DCF, finance", "ka_url": "http://www.khanacademy.org/video/present-value-4--and-discounted-cash-flow", "duration": 602, "translated_title": "Present value 4 (and discounted cash flow)", "translated_description_html": "Lets change the discount rates depending on how far out the payments are.", "id": "24808", "description_html": "Lets change the discount rates depending on how far out the payments are.", "title": "Present value 4 (and discounted cash flow)", "progress_key": "v24808", "edit_slug": "edit/v/24808", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lets change the discount rates depending on how far out the payments are.", "extra_properties": null, "node_slug": "v/present-value-4--and-discounted-cash-flow", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6WCfVjUTTEY.mp4/6WCfVjUTTEY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6WCfVjUTTEY.mp4/6WCfVjUTTEY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6WCfVjUTTEY.m3u8/6WCfVjUTTEY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6WCfVjUTTEY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24808", "sha": "48f3ade71e3fc8c3082a1dd40f58b8579bde176c", "translated_description": "Lets change the discount rates depending on how far out the payments are.", "image_url": "https://img.youtube.com/vi/6WCfVjUTTEY/hqdefault.jpg", "youtube_id": "6WCfVjUTTEY", "content_kind": "Video", "readable_id": "present-value-4--and-discounted-cash-flow"}], "twitter_url": "", "translated_description": "If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today?\n\nA reasonable argument can be made that most everything in finance really boils down to \"present value\". So pay attention to this tutorial.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today?\n\nA reasonable argument can be made that most everything in finance really boils down to \"present value\". So pay attention to this tutorial.", "x_pos": 0.0, "node_slug": "present-value", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa1e123c1", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/present-value", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/present-value", "slug": "present-value", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d5fd5c5538f38f885ee71b7ae51b4b1a2b567f86", "standalone_title": "Present value", "y_pos": 0.0, "current_revision_key": "d5fd5c5538f38f885ee71b7ae51b4b1a2b567f86", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/interest-tutorial/personal-bankruptcy-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/personal-bankruptcy-tut", "translated_standalone_title": "Personal bankruptcy", "translated_title": "Personal bankruptcy", "gplus_url": "", "id": "x4fc0528c", "old_key_name": "fNBXF5KnvQ2GpBL99XCQH95DdVzGdgzwMmFraPXy", "hide": false, "title": "Personal bankruptcy", "child_data": [{"kind": "Video", "id": 24899}], "children": [{"translated_youtube_id": "H3tg4bH5JuY", "relative_url": "/video/personal-bankruptcy---chapters-7-and-13", "has_questions": false, "keywords": "bankruptcy, 22, personal", "ka_url": "http://www.khanacademy.org/video/personal-bankruptcy---chapters-7-and-13", "duration": 802, "translated_title": "Personal bankruptcy: Chapters 7 and 13", "translated_description_html": "

Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.<\/p>", "id": "24899", "description_html": "

Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.<\/p>", "title": "Personal bankruptcy: Chapters 7 and 13", "progress_key": "v24899", "edit_slug": "edit/v/24899", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.", "extra_properties": {}, "node_slug": "v/personal-bankruptcy---chapters-7-and-13", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H3tg4bH5JuY.mp4/H3tg4bH5JuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H3tg4bH5JuY.mp4/H3tg4bH5JuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H3tg4bH5JuY.m3u8/H3tg4bH5JuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H3tg4bH5JuY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24899", "sha": "7fe4aa4161dbd983da5863cefa70a252d2822f41", "translated_description": "Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.", "image_url": "https://img.youtube.com/vi/H3tg4bH5JuY/hqdefault.jpg", "youtube_id": "H3tg4bH5JuY", "content_kind": "Video", "readable_id": "personal-bankruptcy---chapters-7-and-13"}], "twitter_url": "", "translated_description": "Back in the day (like medieval Europe), you would actually be thrown in jail if you couldn't pay your debts (debtor's prison). That seemed like a pretty awful thing to do (not to mention that lenders are much less likely to be paid by someone rotting in prison), so governments created an \"out\" called bankruptcy (which, as you'll see, is a pseudo-painful \"reset\" button on your finances).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Back in the day (like medieval Europe), you would actually be thrown in jail if you couldn't pay your debts (debtor's prison). That seemed like a pretty awful thing to do (not to mention that lenders are much less likely to be paid by someone rotting in prison), so governments created an \"out\" called bankruptcy (which, as you'll see, is a pseudo-painful \"reset\" button on your finances).", "x_pos": 0.0, "node_slug": "personal-bankruptcy-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4fc0528c", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial/personal-bankruptcy-tut", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial/personal-bankruptcy-tut", "slug": "personal-bankruptcy-tut", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "830b73ef4908864e3f28c868e4c0b5d5bc7ee22b", "standalone_title": "Personal bankruptcy", "y_pos": 0.0, "current_revision_key": "830b73ef4908864e3f28c868e4c0b5d5bc7ee22b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "interest-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb9498306", "topic_page_url": "/economics-finance-domain/core-finance/interest-tutorial", "extended_slug": "economics-finance-domain/core-finance/interest-tutorial", "slug": "interest-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "cc6560e7f1e1ddda2ebafd40b938365ecbba2e36", "standalone_title": "Interest", "y_pos": 0.0, "current_revision_key": "cc6560e7f1e1ddda2ebafd40b938365ecbba2e36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing", "translated_standalone_title": "Housing", "translated_title": "Housing", "gplus_url": "", "id": "x1f4c64fb", "old_key_name": "2heOP5iBRz9hiH0hdOLLAIZyhPP3QxTA2EvoBfrK", "hide": false, "title": "Housing", "child_data": [{"kind": "Topic", "id": "x1fc333b8"}, {"kind": "Topic", "id": "x1562aa84"}, {"kind": "Topic", "id": "x18c0f207"}, {"kind": "Topic", "id": "x6782aa14"}, {"kind": "Topic", "id": "x12c2263b"}, {"kind": "Topic", "id": "xb0762ad5"}, {"kind": "Topic", "id": "x2334e4f7"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/home-equity-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial", "translated_standalone_title": "Home equity and personal balance sheets", "translated_title": "Home equity and personal balance sheets", "gplus_url": "", "id": "x1fc333b8", "old_key_name": "UAkXicc8t750Vmyrq0Xa8yfp2VY3wLo9mXipU184", "hide": false, "title": "Home equity and personal balance sheets", "child_data": [{"kind": "Video", "id": 24810}, {"kind": "Video", "id": 24812}, {"kind": "Video", "id": 24814}], "children": [{"translated_youtube_id": "mxsYHiDVNlk", "relative_url": "/video/introduction-to-balance-sheets", "has_questions": false, "keywords": "Finance, accounting, equity, mortgage, debt, credit, crunch", "ka_url": "http://www.khanacademy.org/video/introduction-to-balance-sheets", "duration": 594, "translated_title": "Introduction to balance sheets", "translated_description_html": "Using a home purchase to illustrate assets, liabilities and owner's equity.", "id": "24810", "description_html": "Using a home purchase to illustrate assets, liabilities and owner's equity.", "title": "Introduction to balance sheets", "progress_key": "v24810", "edit_slug": "edit/v/24810", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Using a home purchase to illustrate assets, liabilities and owner's equity.", "extra_properties": null, "node_slug": "v/introduction-to-balance-sheets", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mxsYHiDVNlk.mp4/mxsYHiDVNlk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mxsYHiDVNlk.mp4/mxsYHiDVNlk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mxsYHiDVNlk.m3u8/mxsYHiDVNlk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mxsYHiDVNlk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24810", "sha": "146c3f4b3682a8677ff8ef1802a6a88d38f88350", "translated_description": "Using a home purchase to illustrate assets, liabilities and owner's equity.", "image_url": "https://img.youtube.com/vi/mxsYHiDVNlk/hqdefault.jpg", "youtube_id": "mxsYHiDVNlk", "content_kind": "Video", "readable_id": "introduction-to-balance-sheets"}, {"translated_youtube_id": "U2Nw5T44zvY", "relative_url": "/video/more-on-balance-sheets-and-equity", "has_questions": false, "keywords": "equity, home, mortgage, finance, balance, sheet, accounting", "ka_url": "http://www.khanacademy.org/video/more-on-balance-sheets-and-equity", "duration": 605, "translated_title": "More on balance sheets and equity", "translated_description_html": "What happens to equity when the value of the assets increase or decrease", "id": "24812", "description_html": "What happens to equity when the value of the assets increase or decrease", "title": "More on balance sheets and equity", "progress_key": "v24812", "edit_slug": "edit/v/24812", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What happens to equity when the value of the assets increase or decrease", "extra_properties": null, "node_slug": "v/more-on-balance-sheets-and-equity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2Nw5T44zvY.mp4/U2Nw5T44zvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2Nw5T44zvY.mp4/U2Nw5T44zvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2Nw5T44zvY.m3u8/U2Nw5T44zvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2Nw5T44zvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24812", "sha": "8629ab891d83aede9af5571e132e7a9a4151e870", "translated_description": "What happens to equity when the value of the assets increase or decrease", "image_url": "https://img.youtube.com/vi/U2Nw5T44zvY/hqdefault.jpg", "youtube_id": "U2Nw5T44zvY", "content_kind": "Video", "readable_id": "more-on-balance-sheets-and-equity"}, {"translated_youtube_id": "7rrSuhFC7I0", "relative_url": "/video/home-equity-loans", "has_questions": false, "keywords": "accounting, finance, credit, crisis, mortgage", "ka_url": "http://www.khanacademy.org/video/home-equity-loans", "duration": 516, "translated_title": "Home equity loans", "translated_description_html": "Simple example of borrowing from equity to fuel consumption", "id": "24814", "description_html": "Simple example of borrowing from equity to fuel consumption", "title": "Home equity loans", "progress_key": "v24814", "edit_slug": "edit/v/24814", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple example of borrowing from equity to fuel consumption", "extra_properties": null, "node_slug": "v/home-equity-loans", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7rrSuhFC7I0.mp4/7rrSuhFC7I0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7rrSuhFC7I0.mp4/7rrSuhFC7I0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7rrSuhFC7I0.m3u8/7rrSuhFC7I0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7rrSuhFC7I0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24814", "sha": "799acf00c896875a007c2a10d06f03fa82527314", "translated_description": "Simple example of borrowing from equity to fuel consumption", "image_url": "https://img.youtube.com/vi/7rrSuhFC7I0/hqdefault.jpg", "youtube_id": "7rrSuhFC7I0", "content_kind": "Video", "readable_id": "home-equity-loans"}], "twitter_url": "", "translated_description": "This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too.", "x_pos": 0.0, "node_slug": "home-equity-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1fc333b8", "topic_page_url": "/economics-finance-domain/core-finance/housing/home-equity-tutorial", "extended_slug": "economics-finance-domain/core-finance/housing/home-equity-tutorial", "slug": "home-equity-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "412ad4048ebff2916142f426bb049a1d6fb21c04", "standalone_title": "Home equity and personal balance sheets", "y_pos": 0.0, "current_revision_key": "412ad4048ebff2916142f426bb049a1d6fb21c04", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/mortgages-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial", "translated_standalone_title": "Mortgages", "translated_title": "Mortgages", "gplus_url": "", "id": "x1562aa84", "old_key_name": "atj10Keq-_taadWdDgaJFwUQlZKBM699G_GuDh8d", "hide": false, "title": "Mortgages", "child_data": [{"kind": "Video", "id": 1674026}, {"kind": "Video", "id": 195783501}, {"kind": "Video", "id": "xfe311e0f"}, {"kind": "Video", "id": 23574}], "children": [{"translated_youtube_id": "IDHJCEKeHLc", "relative_url": "/video/introduction-to-mortgage-loans", "has_questions": false, "keywords": "mortgage, loans", "ka_url": "http://www.khanacademy.org/video/introduction-to-mortgage-loans", "duration": 1107, "translated_title": "Introduction to mortgage loans", "translated_description_html": "

Introduction to mortgage loans<\/p>", "id": "1674026", "description_html": "

Introduction to mortgage loans<\/p>", "title": "Introduction to mortgage loans", "progress_key": "v1674026", "edit_slug": "edit/v/1674026", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to mortgage loans", "extra_properties": {}, "node_slug": "v/introduction-to-mortgage-loans", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IDHJCEKeHLc.mp4/IDHJCEKeHLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IDHJCEKeHLc.mp4/IDHJCEKeHLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IDHJCEKeHLc.m3u8/IDHJCEKeHLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IDHJCEKeHLc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1674026", "sha": "5ebc0f7d824960ec592640402ed082eb7a250f7e", "translated_description": "Introduction to mortgage loans", "image_url": "https://img.youtube.com/vi/IDHJCEKeHLc/hqdefault.jpg", "youtube_id": "IDHJCEKeHLc", "content_kind": "Video", "readable_id": "introduction-to-mortgage-loans"}, {"translated_youtube_id": "vy_pvstdBhg", "relative_url": "/video/mortgage-interest-rates", "has_questions": false, "keywords": "finance, personal, economics", "ka_url": "http://www.khanacademy.org/video/mortgage-interest-rates", "duration": 876, "translated_title": "Mortgage interest rates", "translated_description_html": "

Understanding how mortgage interest rates are quoted<\/p>", "id": "195783501", "description_html": "

Understanding how mortgage interest rates are quoted<\/p>", "title": "Mortgage interest rates", "progress_key": "v195783501", "edit_slug": "edit/v/195783501", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how mortgage interest rates are quoted", "extra_properties": {}, "node_slug": "v/mortgage-interest-rates", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2011-08-12T18:49:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vy_pvstdBhg.mp4/vy_pvstdBhg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vy_pvstdBhg.mp4/vy_pvstdBhg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vy_pvstdBhg.m3u8/vy_pvstdBhg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vy_pvstdBhg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v195783501", "sha": "9792233cba4a2a4904c201903350602ac7013b71", "translated_description": "Understanding how mortgage interest rates are quoted", "image_url": "https://img.youtube.com/vi/vy_pvstdBhg/hqdefault.jpg", "youtube_id": "vy_pvstdBhg", "content_kind": "Video", "readable_id": "mortgage-interest-rates"}, {"translated_youtube_id": "5YfO4CshL7Y", "relative_url": "/video/short-sale-basics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/short-sale-basics", "duration": 394, "translated_title": "Short sale basics", "translated_description_html": "", "id": "xfe311e0f", "description_html": "", "title": "Short sale basics", "progress_key": "vxfe311e0f", "edit_slug": "edit/v/xfe311e0f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/short-sale-basics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-15T23:12:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5YfO4CshL7Y.mp4/5YfO4CshL7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5YfO4CshL7Y.mp4/5YfO4CshL7Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5YfO4CshL7Y.m3u8/5YfO4CshL7Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5YfO4CshL7Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfe311e0f", "sha": "e2ac8489b1980c98524334467564d3547d5d16e5", "translated_description": "", "image_url": "https://img.youtube.com/vi/5YfO4CshL7Y/hqdefault.jpg", "youtube_id": "5YfO4CshL7Y", "content_kind": "Video", "readable_id": "short-sale-basics"}, {"translated_youtube_id": "i05-okb1EJg", "relative_url": "/video/geometric-series-sum-to-figure-out-mortgage-payments", "has_questions": false, "keywords": "geometric, series, mortgage, math, CC_39336_A-SSE_4", "ka_url": "http://www.khanacademy.org/video/geometric-series-sum-to-figure-out-mortgage-payments", "duration": 1056, "translated_title": "Advanced: Geometric series sum to figure out mortgage payments", "translated_description_html": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "id": "23574", "description_html": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "title": "Advanced: Geometric series sum to figure out mortgage payments", "progress_key": "v23574", "edit_slug": "edit/v/23574", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "extra_properties": {"original_url": ""}, "node_slug": "v/geometric-series-sum-to-figure-out-mortgage-payments", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:27:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.m3u8/i05-okb1EJg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i05-okb1EJg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23574", "sha": "8e8415ae95a46abf6649e46d5790af9b6be848f3", "translated_description": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", "image_url": "https://img.youtube.com/vi/i05-okb1EJg/hqdefault.jpg", "youtube_id": "i05-okb1EJg", "content_kind": "Video", "readable_id": "geometric-series-sum-to-figure-out-mortgage-payments"}], "twitter_url": "", "translated_description": "Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional).", "x_pos": 0.0, "node_slug": "mortgages-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1562aa84", "topic_page_url": "/economics-finance-domain/core-finance/housing/mortgages-tutorial", "extended_slug": "economics-finance-domain/core-finance/housing/mortgages-tutorial", "slug": "mortgages-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85c547ec98b98470ba0459e628c47f1ed9c802c2", "standalone_title": "Mortgages", "y_pos": 0.0, "current_revision_key": "85c547ec98b98470ba0459e628c47f1ed9c802c2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/renting-v-buying", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying", "translated_standalone_title": "Renting vs. buying a home", "translated_title": "Renting vs. buying a home", "gplus_url": "", "id": "x18c0f207", "old_key_name": "XH8KV81Y6B2Z1KSfua_B5XE-eeyV5PQUTKVUjGCq", "hide": false, "title": "Renting vs. buying a home", "child_data": [{"kind": "Video", "id": 24816}, {"kind": "Video", "id": 24818}, {"kind": "Video", "id": 24820}], "children": [{"translated_youtube_id": "YL10H_EcB-E", "relative_url": "/video/renting-vs--buying-a-home", "has_questions": false, "keywords": "mortgage, home, rent, buy, appreciation, taxes, economics", "ka_url": "http://www.khanacademy.org/video/renting-vs--buying-a-home", "duration": 580, "translated_title": "Renting vs. buying a home", "translated_description_html": "The math of renting vs. buying a home. Challenging the notion that it is always better to buy.", "id": "24816", "description_html": "The math of renting vs. buying a home. Challenging the notion that it is always better to buy.", "title": "Renting vs. buying a home", "progress_key": "v24816", "edit_slug": "edit/v/24816", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The math of renting vs. buying a home. Challenging the notion that it is always better to buy.", "extra_properties": null, "node_slug": "v/renting-vs--buying-a-home", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.mp4/YL10H_EcB-E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.mp4/YL10H_EcB-E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.m3u8/YL10H_EcB-E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YL10H_EcB-E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24816", "sha": "edf033e8e847188d731c6ead5bb1d3d8c9405ddf", "translated_description": "The math of renting vs. buying a home. Challenging the notion that it is always better to buy.", "image_url": "https://img.youtube.com/vi/YL10H_EcB-E/hqdefault.jpg", "youtube_id": "YL10H_EcB-E", "content_kind": "Video", "readable_id": "renting-vs--buying-a-home"}, {"translated_youtube_id": "QA2TBiIsdT0", "relative_url": "/video/renting-vs--buying-a-home--part-2", "has_questions": false, "keywords": "personal, finance, renting, buying, home, economics, interest, appreciation", "ka_url": "http://www.khanacademy.org/video/renting-vs--buying-a-home--part-2", "duration": 549, "translated_title": "Renting vs. buying a home (part 2)", "translated_description_html": "Factoring in appreciation and depreciation into the rent vs. buy decision.", "id": "24818", "description_html": "Factoring in appreciation and depreciation into the rent vs. buy decision.", "title": "Renting vs. buying a home (part 2)", "progress_key": "v24818", "edit_slug": "edit/v/24818", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Factoring in appreciation and depreciation into the rent vs. buy decision.", "extra_properties": null, "node_slug": "v/renting-vs--buying-a-home--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QA2TBiIsdT0.mp4/QA2TBiIsdT0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QA2TBiIsdT0.mp4/QA2TBiIsdT0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QA2TBiIsdT0.m3u8/QA2TBiIsdT0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QA2TBiIsdT0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24818", "sha": "3af0af78159fd9164af275d244f7601b11addeb1", "translated_description": "Factoring in appreciation and depreciation into the rent vs. buy decision.", "image_url": "https://img.youtube.com/vi/QA2TBiIsdT0/hqdefault.jpg", "youtube_id": "QA2TBiIsdT0", "content_kind": "Video", "readable_id": "renting-vs--buying-a-home--part-2"}, {"translated_youtube_id": "mtL_plJXv3c", "relative_url": "/video/renting-vs--buying--detailed-analysis", "has_questions": false, "keywords": "finance, mortgage, home, buying, interest, model", "ka_url": "http://www.khanacademy.org/video/renting-vs--buying--detailed-analysis", "duration": 917, "translated_title": "Renting vs. buying (detailed analysis)", "translated_description_html": "Detailed analysis of the rent vs. buy decision.", "id": "24820", "description_html": "Detailed analysis of the rent vs. buy decision.", "title": "Renting vs. buying (detailed analysis)", "progress_key": "v24820", "edit_slug": "edit/v/24820", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Detailed analysis of the rent vs. buy decision.", "extra_properties": null, "node_slug": "v/renting-vs--buying--detailed-analysis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mtL_plJXv3c.mp4/mtL_plJXv3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mtL_plJXv3c.mp4/mtL_plJXv3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mtL_plJXv3c.m3u8/mtL_plJXv3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mtL_plJXv3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24820", "sha": "979529237cb30ebee0c12ba38b2feaf38395009e", "translated_description": "Detailed analysis of the rent vs. buy decision.", "image_url": "https://img.youtube.com/vi/mtL_plJXv3c/hqdefault.jpg", "youtube_id": "mtL_plJXv3c", "content_kind": "Video", "readable_id": "renting-vs--buying--detailed-analysis"}], "twitter_url": "", "translated_description": "Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do.\n\nThis older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do.\n\nThis older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home).", "x_pos": 0.0, "node_slug": "renting-v-buying", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18c0f207", "topic_page_url": "/economics-finance-domain/core-finance/housing/renting-v-buying", "extended_slug": "economics-finance-domain/core-finance/housing/renting-v-buying", "slug": "renting-v-buying", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a8acf379ef1ce094f34d31ce2376a22c215b56ce", "standalone_title": "Renting vs. buying a home", "y_pos": 0.0, "current_revision_key": "a8acf379ef1ce094f34d31ce2376a22c215b56ce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/housing-price-conundrum", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/housing-price-conundrum", "translated_standalone_title": "Housing price conundrum", "translated_title": "Housing price conundrum", "gplus_url": "", "id": "x6782aa14", "old_key_name": "sklCj5JqHyHVJoeAHlDEizf2UEBc0FCl95Pk2sZn", "hide": false, "title": "Housing price conundrum", "child_data": [{"kind": "Video", "id": 24662}, {"kind": "Video", "id": 24664}, {"kind": "Video", "id": 24666}, {"kind": "Video", "id": 24668}], "children": [{"translated_youtube_id": "8IR5LefXVPY", "relative_url": "/video/the-housing-price-conundrum", "has_questions": false, "keywords": "economics, housing, prices, appreciation, incomes", "ka_url": "http://www.khanacademy.org/video/the-housing-price-conundrum", "duration": 561, "translated_title": "The housing price conundrum", "translated_description_html": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "id": "24662", "description_html": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "title": "The housing price conundrum", "progress_key": "v24662", "edit_slug": "edit/v/24662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "extra_properties": null, "node_slug": "v/the-housing-price-conundrum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.mp4/8IR5LefXVPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.mp4/8IR5LefXVPY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.m3u8/8IR5LefXVPY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8IR5LefXVPY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24662", "sha": "886950ec0ae1fab7bb37f233cec0a9ebe864d1ba", "translated_description": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "image_url": "https://img.youtube.com/vi/8IR5LefXVPY/hqdefault.jpg", "youtube_id": "8IR5LefXVPY", "content_kind": "Video", "readable_id": "the-housing-price-conundrum"}, {"translated_youtube_id": "wYAhlTHIBT4", "relative_url": "/video/housing-price-conundrum--part-2", "has_questions": false, "keywords": "economics, housing, prices, bubble, lending", "ka_url": "http://www.khanacademy.org/video/housing-price-conundrum--part-2", "duration": 534, "translated_title": "Housing price conundrum (part 2)", "translated_description_html": "How lower lending standards led to housing price inflation.", "id": "24664", "description_html": "How lower lending standards led to housing price inflation.", "title": "Housing price conundrum (part 2)", "progress_key": "v24664", "edit_slug": "edit/v/24664", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How lower lending standards led to housing price inflation.", "extra_properties": null, "node_slug": "v/housing-price-conundrum--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.m3u8/wYAhlTHIBT4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wYAhlTHIBT4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24664", "sha": "8d52b787a1bcd621e679af1b50584ce3bfbc9aba", "translated_description": "How lower lending standards led to housing price inflation.", "image_url": "https://img.youtube.com/vi/wYAhlTHIBT4/hqdefault.jpg", "youtube_id": "wYAhlTHIBT4", "content_kind": "Video", "readable_id": "housing-price-conundrum--part-2"}, {"translated_youtube_id": "aAfMps_VyOY", "relative_url": "/video/housing-price-conundrum--part-3", "has_questions": false, "keywords": "economics, housing, prices, lending, standards, appreciation, bubble", "ka_url": "http://www.khanacademy.org/video/housing-price-conundrum--part-3", "duration": 588, "translated_title": "Housing price conundrum (part 3)", "translated_description_html": "Why did lending standards become more and more lax from 2000 to 2006?", "id": "24666", "description_html": "Why did lending standards become more and more lax from 2000 to 2006?", "title": "Housing price conundrum (part 3)", "progress_key": "v24666", "edit_slug": "edit/v/24666", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why did lending standards become more and more lax from 2000 to 2006?", "extra_properties": null, "node_slug": "v/housing-price-conundrum--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.mp4/aAfMps_VyOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.mp4/aAfMps_VyOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.m3u8/aAfMps_VyOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aAfMps_VyOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24666", "sha": "4aecf7664db5b81cd87123074df4b83a28e419a6", "translated_description": "Why did lending standards become more and more lax from 2000 to 2006?", "image_url": "https://img.youtube.com/vi/aAfMps_VyOY/hqdefault.jpg", "youtube_id": "aAfMps_VyOY", "content_kind": "Video", "readable_id": "housing-price-conundrum--part-3"}, {"translated_youtube_id": "s6UYa2nwaDw", "relative_url": "/video/housing-conundrum--part-4", "has_questions": false, "keywords": "Housing, bubble, lending, mortgage, financing", "ka_url": "http://www.khanacademy.org/video/housing-conundrum--part-4", "duration": 413, "translated_title": "Housing conundrum (part 4)", "translated_description_html": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "id": "24668", "description_html": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "title": "Housing conundrum (part 4)", "progress_key": "v24668", "edit_slug": "edit/v/24668", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "extra_properties": null, "node_slug": "v/housing-conundrum--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.m3u8/s6UYa2nwaDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s6UYa2nwaDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24668", "sha": "a8665b3194e3704786532587399dc1e7067893e0", "translated_description": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "image_url": "https://img.youtube.com/vi/s6UYa2nwaDw/hqdefault.jpg", "youtube_id": "s6UYa2nwaDw", "content_kind": "Video", "readable_id": "housing-conundrum--part-4"}], "twitter_url": "", "translated_description": "Back before the 2008 credit crisis, Sal was perplexed by why housing prices were going up so fast and theorized that it was a bubble forming (he was right). \n\nThese pre-2008 videos are fun from a historical point-of-view since they were made before all the poo poo hit the fan.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Back before the 2008 credit crisis, Sal was perplexed by why housing prices were going up so fast and theorized that it was a bubble forming (he was right). \n\nThese pre-2008 videos are fun from a historical point-of-view since they were made before all the poo poo hit the fan.", "x_pos": 0.0, "node_slug": "housing-price-conundrum", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6782aa14", "topic_page_url": "/economics-finance-domain/core-finance/housing/housing-price-conundrum", "extended_slug": "economics-finance-domain/core-finance/housing/housing-price-conundrum", "slug": "housing-price-conundrum", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e38c8965845dfcc9d3c6f6d8239834b631aebdc8", "standalone_title": "Housing price conundrum", "y_pos": 0.0, "current_revision_key": "e38c8965845dfcc9d3c6f6d8239834b631aebdc8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/credit-crisis", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/credit-crisis", "translated_standalone_title": "Credit Crisis", "translated_title": "Credit crisis", "gplus_url": "", "id": "x12c2263b", "old_key_name": "cv2oUoVN0HubevQaC2Jc7yN1Hyy-tjpQ59lDcOpY", "hide": false, "title": "Credit crisis", "child_data": [{"kind": "Video", "id": 24662}, {"kind": "Video", "id": 24664}, {"kind": "Video", "id": 24666}, {"kind": "Video", "id": 24668}, {"kind": "Video", "id": 24670}, {"kind": "Video", "id": 24672}, {"kind": "Video", "id": 24674}, {"kind": "Video", "id": 24676}, {"kind": "Video", "id": 24680}, {"kind": "Video", "id": 24682}, {"kind": "Video", "id": 24684}, {"kind": "Video", "id": 24686}], "children": [{"translated_youtube_id": "8IR5LefXVPY", "relative_url": "/video/the-housing-price-conundrum", "has_questions": false, "keywords": "economics, housing, prices, appreciation, incomes", "ka_url": "http://www.khanacademy.org/video/the-housing-price-conundrum", "duration": 561, "translated_title": "The housing price conundrum", "translated_description_html": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "id": "24662", "description_html": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "title": "The housing price conundrum", "progress_key": "v24662", "edit_slug": "edit/v/24662", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "extra_properties": null, "node_slug": "v/the-housing-price-conundrum", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.mp4/8IR5LefXVPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.mp4/8IR5LefXVPY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8IR5LefXVPY.m3u8/8IR5LefXVPY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8IR5LefXVPY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24662", "sha": "886950ec0ae1fab7bb37f233cec0a9ebe864d1ba", "translated_description": "Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it", "image_url": "https://img.youtube.com/vi/8IR5LefXVPY/hqdefault.jpg", "youtube_id": "8IR5LefXVPY", "content_kind": "Video", "readable_id": "the-housing-price-conundrum"}, {"translated_youtube_id": "wYAhlTHIBT4", "relative_url": "/video/housing-price-conundrum--part-2", "has_questions": false, "keywords": "economics, housing, prices, bubble, lending", "ka_url": "http://www.khanacademy.org/video/housing-price-conundrum--part-2", "duration": 534, "translated_title": "Housing price conundrum (part 2)", "translated_description_html": "How lower lending standards led to housing price inflation.", "id": "24664", "description_html": "How lower lending standards led to housing price inflation.", "title": "Housing price conundrum (part 2)", "progress_key": "v24664", "edit_slug": "edit/v/24664", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How lower lending standards led to housing price inflation.", "extra_properties": null, "node_slug": "v/housing-price-conundrum--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.m3u8/wYAhlTHIBT4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wYAhlTHIBT4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24664", "sha": "8d52b787a1bcd621e679af1b50584ce3bfbc9aba", "translated_description": "How lower lending standards led to housing price inflation.", "image_url": "https://img.youtube.com/vi/wYAhlTHIBT4/hqdefault.jpg", "youtube_id": "wYAhlTHIBT4", "content_kind": "Video", "readable_id": "housing-price-conundrum--part-2"}, {"translated_youtube_id": "aAfMps_VyOY", "relative_url": "/video/housing-price-conundrum--part-3", "has_questions": false, "keywords": "economics, housing, prices, lending, standards, appreciation, bubble", "ka_url": "http://www.khanacademy.org/video/housing-price-conundrum--part-3", "duration": 588, "translated_title": "Housing price conundrum (part 3)", "translated_description_html": "Why did lending standards become more and more lax from 2000 to 2006?", "id": "24666", "description_html": "Why did lending standards become more and more lax from 2000 to 2006?", "title": "Housing price conundrum (part 3)", "progress_key": "v24666", "edit_slug": "edit/v/24666", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why did lending standards become more and more lax from 2000 to 2006?", "extra_properties": null, "node_slug": "v/housing-price-conundrum--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.mp4/aAfMps_VyOY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.mp4/aAfMps_VyOY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aAfMps_VyOY.m3u8/aAfMps_VyOY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aAfMps_VyOY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24666", "sha": "4aecf7664db5b81cd87123074df4b83a28e419a6", "translated_description": "Why did lending standards become more and more lax from 2000 to 2006?", "image_url": "https://img.youtube.com/vi/aAfMps_VyOY/hqdefault.jpg", "youtube_id": "aAfMps_VyOY", "content_kind": "Video", "readable_id": "housing-price-conundrum--part-3"}, {"translated_youtube_id": "s6UYa2nwaDw", "relative_url": "/video/housing-conundrum--part-4", "has_questions": false, "keywords": "Housing, bubble, lending, mortgage, financing", "ka_url": "http://www.khanacademy.org/video/housing-conundrum--part-4", "duration": 413, "translated_title": "Housing conundrum (part 4)", "translated_description_html": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "id": "24668", "description_html": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "title": "Housing conundrum (part 4)", "progress_key": "v24668", "edit_slug": "edit/v/24668", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "extra_properties": null, "node_slug": "v/housing-conundrum--part-4", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.m3u8/s6UYa2nwaDw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s6UYa2nwaDw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24668", "sha": "a8665b3194e3704786532587399dc1e7067893e0", "translated_description": "The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more", "image_url": "https://img.youtube.com/vi/s6UYa2nwaDw/hqdefault.jpg", "youtube_id": "s6UYa2nwaDw", "content_kind": "Video", "readable_id": "housing-conundrum--part-4"}, {"translated_youtube_id": "oosYQHq2hwE", "relative_url": "/video/mortgage-backed-securities-i", "has_questions": false, "keywords": "finance, mortgage-backed, security, MBS", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-i", "duration": 476, "translated_title": "Mortgage-backed securities I", "translated_description_html": "Part I of the introduction to mortgage-backed securities", "id": "24670", "description_html": "Part I of the introduction to mortgage-backed securities", "title": "Mortgage-backed securities I", "progress_key": "v24670", "edit_slug": "edit/v/24670", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part I of the introduction to mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.mp4/oosYQHq2hwE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.mp4/oosYQHq2hwE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.m3u8/oosYQHq2hwE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oosYQHq2hwE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24670", "sha": "00fa8d6683b616636851b51fef83c93b68b5da01", "translated_description": "Part I of the introduction to mortgage-backed securities", "image_url": "https://img.youtube.com/vi/oosYQHq2hwE/hqdefault.jpg", "youtube_id": "oosYQHq2hwE", "content_kind": "Video", "readable_id": "mortgage-backed-securities-i"}, {"translated_youtube_id": "eYBlfxGIk28", "relative_url": "/video/mortgage-backed-securities-ii", "has_questions": false, "keywords": "finance, mortgage-backed, security, MBS, Khan", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-ii", "duration": 574, "translated_title": "Mortgage-backed securities II", "translated_description_html": "Part II of the introduction to mortgage-backed securities", "id": "24672", "description_html": "Part II of the introduction to mortgage-backed securities", "title": "Mortgage-backed securities II", "progress_key": "v24672", "edit_slug": "edit/v/24672", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part II of the introduction to mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.m3u8/eYBlfxGIk28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eYBlfxGIk28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24672", "sha": "5d3c442b9c917f1626c6de9e7c028402082b2d6d", "translated_description": "Part II of the introduction to mortgage-backed securities", "image_url": "https://img.youtube.com/vi/eYBlfxGIk28/hqdefault.jpg", "youtube_id": "eYBlfxGIk28", "content_kind": "Video", "readable_id": "mortgage-backed-securities-ii"}, {"translated_youtube_id": "q0oSKmC3Mfc", "relative_url": "/video/mortgage-backed-securities-iii", "has_questions": false, "keywords": "finance, math, economics, Khan, academy", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-iii", "duration": 557, "translated_title": "Mortgage-backed securities III", "translated_description_html": "More on mortgage-backed securities", "id": "24674", "description_html": "More on mortgage-backed securities", "title": "Mortgage-backed securities III", "progress_key": "v24674", "edit_slug": "edit/v/24674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.m3u8/q0oSKmC3Mfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q0oSKmC3Mfc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24674", "sha": "28c9a0afbc8f440f1753a780eeda08b7b8f8a478", "translated_description": "More on mortgage-backed securities", "image_url": "https://img.youtube.com/vi/q0oSKmC3Mfc/hqdefault.jpg", "youtube_id": "q0oSKmC3Mfc", "content_kind": "Video", "readable_id": "mortgage-backed-securities-iii"}, {"translated_youtube_id": "XjoJ9UF2hqg", "relative_url": "/video/collateralized-debt-obligation--cdo", "has_questions": false, "keywords": "finance, CDO, MBS, khan, academy", "ka_url": "http://www.khanacademy.org/video/collateralized-debt-obligation--cdo", "duration": 582, "translated_title": "Collateralized debt obligation (CDO)", "translated_description_html": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "id": "24676", "description_html": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "title": "Collateralized debt obligation (CDO)", "progress_key": "v24676", "edit_slug": "edit/v/24676", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "extra_properties": null, "node_slug": "v/collateralized-debt-obligation--cdo", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.m3u8/XjoJ9UF2hqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XjoJ9UF2hqg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24676", "sha": "351ee64c8a1f0192bceb653ef0c41f149dec4e87", "translated_description": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "image_url": "https://img.youtube.com/vi/XjoJ9UF2hqg/hqdefault.jpg", "youtube_id": "XjoJ9UF2hqg", "content_kind": "Video", "readable_id": "collateralized-debt-obligation--cdo"}, {"translated_youtube_id": "a1lVOO9Y080", "relative_url": "/video/credit-default-swaps", "has_questions": false, "keywords": "credit, default, swap, aig", "ka_url": "http://www.khanacademy.org/video/credit-default-swaps", "duration": 657, "translated_title": "Credit default swaps", "translated_description_html": "Introduction to credit default swaps", "id": "24680", "description_html": "Introduction to credit default swaps", "title": "Credit default swaps", "progress_key": "v24680", "edit_slug": "edit/v/24680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to credit default swaps", "extra_properties": null, "node_slug": "v/credit-default-swaps", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.mp4/a1lVOO9Y080.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.mp4/a1lVOO9Y080.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.m3u8/a1lVOO9Y080.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a1lVOO9Y080&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24680", "sha": "a61c189711847a15a83f2347d080002d03b4492a", "translated_description": "Introduction to credit default swaps", "image_url": "https://img.youtube.com/vi/a1lVOO9Y080/hqdefault.jpg", "youtube_id": "a1lVOO9Y080", "content_kind": "Video", "readable_id": "credit-default-swaps"}, {"translated_youtube_id": "neAFEvNsiqw", "relative_url": "/video/credit-default-swaps-2", "has_questions": false, "keywords": "CDS, credit, default, swaps, buffet, financial, weapons, of, mass, destruction", "ka_url": "http://www.khanacademy.org/video/credit-default-swaps-2", "duration": 724, "translated_title": "Credit default swaps 2", "translated_description_html": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "id": "24682", "description_html": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "title": "Credit default swaps 2", "progress_key": "v24682", "edit_slug": "edit/v/24682", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "extra_properties": null, "node_slug": "v/credit-default-swaps-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.m3u8/neAFEvNsiqw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=neAFEvNsiqw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24682", "sha": "35a36fda968af7682ace55684ec30f6caa44b613", "translated_description": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "image_url": "https://img.youtube.com/vi/neAFEvNsiqw/hqdefault.jpg", "youtube_id": "neAFEvNsiqw", "content_kind": "Video", "readable_id": "credit-default-swaps-2"}, {"translated_youtube_id": "Q7HbtnOyKMg", "relative_url": "/video/wealth-destruction-1", "has_questions": false, "keywords": "bailout, paulson, credit, crisis, bernanke, bubble, housing", "ka_url": "http://www.khanacademy.org/video/wealth-destruction-1", "duration": 630, "translated_title": "Wealth destruction 1", "translated_description_html": "How bubbles destroy wealth.", "id": "24684", "description_html": "How bubbles destroy wealth.", "title": "Wealth destruction 1", "progress_key": "v24684", "edit_slug": "edit/v/24684", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How bubbles destroy wealth.", "extra_properties": null, "node_slug": "v/wealth-destruction-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.mp4/Q7HbtnOyKMg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.mp4/Q7HbtnOyKMg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.m3u8/Q7HbtnOyKMg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q7HbtnOyKMg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24684", "sha": "d7b1db1751e0036d288bac4b6042fedd3af43e86", "translated_description": "How bubbles destroy wealth.", "image_url": "https://img.youtube.com/vi/Q7HbtnOyKMg/hqdefault.jpg", "youtube_id": "Q7HbtnOyKMg", "content_kind": "Video", "readable_id": "wealth-destruction-1"}, {"translated_youtube_id": "eRImmzuExyg", "relative_url": "/video/wealth-destruction-2", "has_questions": false, "keywords": "bailout, paulson, credit, crisis, bernanke, bubble, housing", "ka_url": "http://www.khanacademy.org/video/wealth-destruction-2", "duration": 640, "translated_title": "Wealth destruction 2", "translated_description_html": "How bubbles destroy wealth.", "id": "24686", "description_html": "How bubbles destroy wealth.", "title": "Wealth destruction 2", "progress_key": "v24686", "edit_slug": "edit/v/24686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How bubbles destroy wealth.", "extra_properties": null, "node_slug": "v/wealth-destruction-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.mp4/eRImmzuExyg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.mp4/eRImmzuExyg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.m3u8/eRImmzuExyg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eRImmzuExyg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24686", "sha": "c0f6c0d088f59a4f31e6c4e221e4561e92a48912", "translated_description": "How bubbles destroy wealth.", "image_url": "https://img.youtube.com/vi/eRImmzuExyg/hqdefault.jpg", "youtube_id": "eRImmzuExyg", "content_kind": "Video", "readable_id": "wealth-destruction-2"}], "twitter_url": "", "translated_description": "This tutorial talks about how the housing-bubble-induced credit crisis unfolded with a focus on the derivative securities that helped pump the bubble.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial talks about how the housing-bubble-induced credit crisis unfolded with a focus on the derivative securities that helped pump the bubble.", "x_pos": 0.0, "node_slug": "credit-crisis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12c2263b", "topic_page_url": "/economics-finance-domain/core-finance/housing/credit-crisis", "extended_slug": "economics-finance-domain/core-finance/housing/credit-crisis", "slug": "credit-crisis", "tags": ["paulson", "paulsen", "bernanke", "bailout", "credit", "crunch", "crisis", "finance", "markets", "CDO", "MBS", "CDS", "default", "swaps", "collateralized", "debt", "obligations"], "kind": "Topic", "in_topic_browser": true, "sha": "45c32e405eff014c87c2b6acb27b2cd2df7d4d4d", "standalone_title": "Credit Crisis", "y_pos": 0.0, "current_revision_key": "45c32e405eff014c87c2b6acb27b2cd2df7d4d4d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/paulson-bailout", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/paulson-bailout", "translated_standalone_title": "Paulson Bailout", "translated_title": "Paulson bailout", "gplus_url": "", "id": "xb0762ad5", "old_key_name": "GsY_EXpYu0YnOXtL1naZEI_xCu05bvwUdOxBPUYb", "hide": false, "title": "Paulson bailout", "child_data": [{"kind": "Video", "id": 6022692}, {"kind": "Video", "id": 24858}, {"kind": "Video", "id": 24860}, {"kind": "Video", "id": 24862}, {"kind": "Video", "id": 24864}, {"kind": "Video", "id": 24866}, {"kind": "Video", "id": 24868}, {"kind": "Video", "id": 24870}, {"kind": "Video", "id": 24872}, {"kind": "Video", "id": 24874}, {"kind": "Video", "id": 24876}, {"kind": "Video", "id": 24884}, {"kind": "Video", "id": 24886}, {"kind": "Video", "id": 24678}, {"kind": "Video", "id": 24891}, {"kind": "Video", "id": 24893}], "children": [{"translated_youtube_id": "_ZAlj2gu0eM", "relative_url": "/video/cnn--understanding-the-crisis", "has_questions": false, "keywords": "credit, crisis, bailout, paulson, bernanke, banks, TARP", "ka_url": "http://www.khanacademy.org/video/cnn--understanding-the-crisis", "duration": 876, "translated_title": "CNN: Understanding the crisis", "translated_description_html": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "id": "6022692", "description_html": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "title": "CNN: Understanding the crisis", "progress_key": "v6022692", "edit_slug": "edit/v/6022692", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "extra_properties": null, "node_slug": "v/cnn--understanding-the-crisis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.m3u8/_ZAlj2gu0eM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ZAlj2gu0eM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022692", "sha": "1c3e3ac9c7624e5ec7aec3de5c94f8cd062af6e3", "translated_description": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "image_url": "https://img.youtube.com/vi/_ZAlj2gu0eM/hqdefault.jpg", "youtube_id": "_ZAlj2gu0eM", "content_kind": "Video", "readable_id": "cnn--understanding-the-crisis"}, {"translated_youtube_id": "ZUEjRYe7MRk", "relative_url": "/video/bailout-1--liquidity-vs--solvency", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-1--liquidity-vs--solvency", "duration": 686, "translated_title": "Bailout 1: Liquidity vs. solvency", "translated_description_html": "Review of balance sheets. Difference between illiquidity and insolvency.", "id": "24858", "description_html": "Review of balance sheets. Difference between illiquidity and insolvency.", "title": "Bailout 1: Liquidity vs. solvency", "progress_key": "v24858", "edit_slug": "edit/v/24858", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Review of balance sheets. Difference between illiquidity and insolvency.", "extra_properties": null, "node_slug": "v/bailout-1--liquidity-vs--solvency", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.m3u8/ZUEjRYe7MRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZUEjRYe7MRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24858", "sha": "0fff28f2a53a1df56a90b216fb0e7279e8eaa8f2", "translated_description": "Review of balance sheets. Difference between illiquidity and insolvency.", "image_url": "https://img.youtube.com/vi/ZUEjRYe7MRk/hqdefault.jpg", "youtube_id": "ZUEjRYe7MRk", "content_kind": "Video", "readable_id": "bailout-1--liquidity-vs--solvency"}, {"translated_youtube_id": "YJBqGM29_64", "relative_url": "/video/bailout-2--book-value", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch, book, value", "ka_url": "http://www.khanacademy.org/video/bailout-2--book-value", "duration": 652, "translated_title": "Bailout 2: Book value", "translated_description_html": "Hypothetical bank balance sheet. What book value means.", "id": "24860", "description_html": "Hypothetical bank balance sheet. What book value means.", "title": "Bailout 2: Book value", "progress_key": "v24860", "edit_slug": "edit/v/24860", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hypothetical bank balance sheet. What book value means.", "extra_properties": null, "node_slug": "v/bailout-2--book-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.m3u8/YJBqGM29_64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YJBqGM29_64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24860", "sha": "4b0fbc0e00990cee9cae40f7c9b3bd7437686a05", "translated_description": "Hypothetical bank balance sheet. What book value means.", "image_url": "https://img.youtube.com/vi/YJBqGM29_64/hqdefault.jpg", "youtube_id": "YJBqGM29_64", "content_kind": "Video", "readable_id": "bailout-2--book-value"}, {"translated_youtube_id": "TUOQZjotyAQ", "relative_url": "/video/bailout-3--book-value-vs--market-value", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-3--book-value-vs--market-value", "duration": 632, "translated_title": "Bailout 3: Book value vs. market value", "translated_description_html": "What it means when the market value of a stock is different from its book value.", "id": "24862", "description_html": "What it means when the market value of a stock is different from its book value.", "title": "Bailout 3: Book value vs. market value", "progress_key": "v24862", "edit_slug": "edit/v/24862", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What it means when the market value of a stock is different from its book value.", "extra_properties": null, "node_slug": "v/bailout-3--book-value-vs--market-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.mp4/TUOQZjotyAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.mp4/TUOQZjotyAQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.m3u8/TUOQZjotyAQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TUOQZjotyAQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24862", "sha": "af154bcbc652e6d44c8ce53496bf547b62493469", "translated_description": "What it means when the market value of a stock is different from its book value.", "image_url": "https://img.youtube.com/vi/TUOQZjotyAQ/hqdefault.jpg", "youtube_id": "TUOQZjotyAQ", "content_kind": "Video", "readable_id": "bailout-3--book-value-vs--market-value"}, {"translated_youtube_id": "w_GZqhAR0I4", "relative_url": "/video/bailout-4--mark-to-model-vs--mark-to-market", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch, accounting, model, mark, market", "ka_url": "http://www.khanacademy.org/video/bailout-4--mark-to-model-vs--mark-to-market", "duration": 684, "translated_title": "Bailout 4: Mark-to-model vs. mark-to-market", "translated_description_html": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "id": "24864", "description_html": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "title": "Bailout 4: Mark-to-model vs. mark-to-market", "progress_key": "v24864", "edit_slug": "edit/v/24864", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "extra_properties": null, "node_slug": "v/bailout-4--mark-to-model-vs--mark-to-market", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.mp4/w_GZqhAR0I4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.mp4/w_GZqhAR0I4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.m3u8/w_GZqhAR0I4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w_GZqhAR0I4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24864", "sha": "b3e00fba9ddd1e81789a16e805f51cb680e69d14", "translated_description": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "image_url": "https://img.youtube.com/vi/w_GZqhAR0I4/hqdefault.jpg", "youtube_id": "w_GZqhAR0I4", "content_kind": "Video", "readable_id": "bailout-4--mark-to-model-vs--mark-to-market"}, {"translated_youtube_id": "I8BLj7cRM7c", "relative_url": "/video/bailout-5--paying-off-the-debt", "has_questions": false, "keywords": "bailout, credit, crunch, paulson, bernanke, leverage, CDO", "ka_url": "http://www.khanacademy.org/video/bailout-5--paying-off-the-debt", "duration": 651, "translated_title": "Bailout 5: Paying off the debt", "translated_description_html": "How the bank can liquidate assets to pay off debt that comes due.", "id": "24866", "description_html": "How the bank can liquidate assets to pay off debt that comes due.", "title": "Bailout 5: Paying off the debt", "progress_key": "v24866", "edit_slug": "edit/v/24866", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the bank can liquidate assets to pay off debt that comes due.", "extra_properties": null, "node_slug": "v/bailout-5--paying-off-the-debt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.mp4/I8BLj7cRM7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.mp4/I8BLj7cRM7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.m3u8/I8BLj7cRM7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I8BLj7cRM7c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24866", "sha": "1349b39016bc65475b2d51f25d9563cfaa21e007", "translated_description": "How the bank can liquidate assets to pay off debt that comes due.", "image_url": "https://img.youtube.com/vi/I8BLj7cRM7c/hqdefault.jpg", "youtube_id": "I8BLj7cRM7c", "content_kind": "Video", "readable_id": "bailout-5--paying-off-the-debt"}, {"translated_youtube_id": "jDNalKBb3aA", "relative_url": "/video/bailout-6--getting-an-equity-infusion", "has_questions": false, "keywords": "bailout, paulson, bernanke, SWF, sovereign, wealth, fund, equity", "ka_url": "http://www.khanacademy.org/video/bailout-6--getting-an-equity-infusion", "duration": 722, "translated_title": "Bailout 6: Getting an equity infusion", "translated_description_html": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "id": "24868", "description_html": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "title": "Bailout 6: Getting an equity infusion", "progress_key": "v24868", "edit_slug": "edit/v/24868", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "extra_properties": null, "node_slug": "v/bailout-6--getting-an-equity-infusion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.m3u8/jDNalKBb3aA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jDNalKBb3aA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24868", "sha": "2ae42090a72ba9ca3e506daabc8a32bf5796b89f", "translated_description": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "image_url": "https://img.youtube.com/vi/jDNalKBb3aA/hqdefault.jpg", "youtube_id": "jDNalKBb3aA", "content_kind": "Video", "readable_id": "bailout-6--getting-an-equity-infusion"}, {"translated_youtube_id": "MdIfefLcdoU", "relative_url": "/video/bailout-7--bank-goes-into-bankruptcy", "has_questions": false, "keywords": "bailout, receivership, bankruptcy, paulson, bernanke", "ka_url": "http://www.khanacademy.org/video/bailout-7--bank-goes-into-bankruptcy", "duration": 625, "translated_title": "Bailout 7: Bank goes into bankruptcy", "translated_description_html": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "id": "24870", "description_html": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "title": "Bailout 7: Bank goes into bankruptcy", "progress_key": "v24870", "edit_slug": "edit/v/24870", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "extra_properties": null, "node_slug": "v/bailout-7--bank-goes-into-bankruptcy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.mp4/MdIfefLcdoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.mp4/MdIfefLcdoU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.m3u8/MdIfefLcdoU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MdIfefLcdoU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24870", "sha": "0b165dafbff54749e2bd4c2093232b6c9da9f90c", "translated_description": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "image_url": "https://img.youtube.com/vi/MdIfefLcdoU/hqdefault.jpg", "youtube_id": "MdIfefLcdoU", "content_kind": "Video", "readable_id": "bailout-7--bank-goes-into-bankruptcy"}, {"translated_youtube_id": "gX9aKDeAOz4", "relative_url": "/video/bailout-8--systemic-risk", "has_questions": false, "keywords": "paulson, lehman, aig, goldman, bailout, credit, crunch, bernanke", "ka_url": "http://www.khanacademy.org/video/bailout-8--systemic-risk", "duration": 712, "translated_title": "Bailout 8: Systemic risk", "translated_description_html": "How the banks are connected. What happens when one bank fails.", "id": "24872", "description_html": "How the banks are connected. What happens when one bank fails.", "title": "Bailout 8: Systemic risk", "progress_key": "v24872", "edit_slug": "edit/v/24872", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the banks are connected. What happens when one bank fails.", "extra_properties": null, "node_slug": "v/bailout-8--systemic-risk", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.mp4/gX9aKDeAOz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.mp4/gX9aKDeAOz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.m3u8/gX9aKDeAOz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gX9aKDeAOz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24872", "sha": "df5b2e95edddcf42089a8f22d6477ad5aa1d9958", "translated_description": "How the banks are connected. What happens when one bank fails.", "image_url": "https://img.youtube.com/vi/gX9aKDeAOz4/hqdefault.jpg", "youtube_id": "gX9aKDeAOz4", "content_kind": "Video", "readable_id": "bailout-8--systemic-risk"}, {"translated_youtube_id": "eBYbnYNl0rw", "relative_url": "/video/bailout-9--paulson-s-plan", "has_questions": false, "keywords": "credit, crunch, moral, hazard, paulson, treasury, bailout, finance", "ka_url": "http://www.khanacademy.org/video/bailout-9--paulson-s-plan", "duration": 665, "translated_title": "Bailout 9: Paulson's plan", "translated_description_html": "What Paulson wants to do and why I don't like it.", "id": "24874", "description_html": "What Paulson wants to do and why I don't like it.", "title": "Bailout 9: Paulson's plan", "progress_key": "v24874", "edit_slug": "edit/v/24874", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What Paulson wants to do and why I don't like it.", "extra_properties": null, "node_slug": "v/bailout-9--paulson-s-plan", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.mp4/eBYbnYNl0rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.mp4/eBYbnYNl0rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.m3u8/eBYbnYNl0rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eBYbnYNl0rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24874", "sha": "a31803a153d8c23955e7f498ba43f2bfd062ffed", "translated_description": "What Paulson wants to do and why I don't like it.", "image_url": "https://img.youtube.com/vi/eBYbnYNl0rw/hqdefault.jpg", "youtube_id": "eBYbnYNl0rw", "content_kind": "Video", "readable_id": "bailout-9--paulson-s-plan"}, {"translated_youtube_id": "roap32sTgPk", "relative_url": "/video/bailout-10--moral-hazard", "has_questions": false, "keywords": "fed, bailout, paulsen, bernanke, credit, crunch, lehman, aig", "ka_url": "http://www.khanacademy.org/video/bailout-10--moral-hazard", "duration": 727, "translated_title": "Bailout 10: Moral hazard", "translated_description_html": "Alternate plans and moral hazard.", "id": "24876", "description_html": "Alternate plans and moral hazard.", "title": "Bailout 10: Moral hazard", "progress_key": "v24876", "edit_slug": "edit/v/24876", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Alternate plans and moral hazard.", "extra_properties": null, "node_slug": "v/bailout-10--moral-hazard", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.mp4/roap32sTgPk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.mp4/roap32sTgPk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.m3u8/roap32sTgPk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=roap32sTgPk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24876", "sha": "b016af2154c07696159e4851c2c49246b05d8130", "translated_description": "Alternate plans and moral hazard.", "image_url": "https://img.youtube.com/vi/roap32sTgPk/hqdefault.jpg", "youtube_id": "roap32sTgPk", "content_kind": "Video", "readable_id": "bailout-10--moral-hazard"}, {"translated_youtube_id": "RkIM0Mbc8YQ", "relative_url": "/video/bailout-11--why-these-cdos-could-be-worth-nothing", "has_questions": false, "keywords": "bailout, collateralized, debt, obligations, CDO, MBS", "ka_url": "http://www.khanacademy.org/video/bailout-11--why-these-cdos-could-be-worth-nothing", "duration": 644, "translated_title": "Bailout 11: Why these CDOs could be worth nothing", "translated_description_html": "Why a CDO could be worth nothing even though they are \"collateralized\".", "id": "24884", "description_html": "Why a CDO could be worth nothing even though they are \"collateralized\".", "title": "Bailout 11: Why these CDOs could be worth nothing", "progress_key": "v24884", "edit_slug": "edit/v/24884", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why a CDO could be worth nothing even though they are \"collateralized\".", "extra_properties": null, "node_slug": "v/bailout-11--why-these-cdos-could-be-worth-nothing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.m3u8/RkIM0Mbc8YQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RkIM0Mbc8YQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24884", "sha": "b36c0bc847689062bce488392990a4ba6480321a", "translated_description": "Why a CDO could be worth nothing even though they are \"collateralized\".", "image_url": "https://img.youtube.com/vi/RkIM0Mbc8YQ/hqdefault.jpg", "youtube_id": "RkIM0Mbc8YQ", "content_kind": "Video", "readable_id": "bailout-11--why-these-cdos-could-be-worth-nothing"}, {"translated_youtube_id": "eZZkhSl8lMA", "relative_url": "/video/bailout-12--lone-star-transaction", "has_questions": false, "keywords": "merill, lynch, lone, star, CDOs", "ka_url": "http://www.khanacademy.org/video/bailout-12--lone-star-transaction", "duration": 628, "translated_title": "Bailout 12: Lone Star transaction", "translated_description_html": "A real life example of a transaction involving CDOs.", "id": "24886", "description_html": "A real life example of a transaction involving CDOs.", "title": "Bailout 12: Lone Star transaction", "progress_key": "v24886", "edit_slug": "edit/v/24886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A real life example of a transaction involving CDOs.", "extra_properties": null, "node_slug": "v/bailout-12--lone-star-transaction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.m3u8/eZZkhSl8lMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eZZkhSl8lMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24886", "sha": "4402d9ecafaf3cb424210c51cf02bc3a20f26d46", "translated_description": "A real life example of a transaction involving CDOs.", "image_url": "https://img.youtube.com/vi/eZZkhSl8lMA/hqdefault.jpg", "youtube_id": "eZZkhSl8lMA", "content_kind": "Video", "readable_id": "bailout-12--lone-star-transaction"}, {"translated_youtube_id": "R528WbVdC0I", "relative_url": "/video/bailout-13--does-the-bailout-have-a-chance-of-working", "has_questions": false, "keywords": "bailout, 700, billion, paulson, bernanke, fed", "ka_url": "http://www.khanacademy.org/video/bailout-13--does-the-bailout-have-a-chance-of-working", "duration": 659, "translated_title": "Bailout 13: Does the bailout have a chance of working?", "translated_description_html": "Can the bailout work?", "id": "24678", "description_html": "Can the bailout work?", "title": "Bailout 13: Does the bailout have a chance of working?", "progress_key": "v24678", "edit_slug": "edit/v/24678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Can the bailout work?", "extra_properties": null, "node_slug": "v/bailout-13--does-the-bailout-have-a-chance-of-working", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.m3u8/R528WbVdC0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R528WbVdC0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24678", "sha": "a62bc83b009addf45b70a32226d6121de21860c0", "translated_description": "Can the bailout work?", "image_url": "https://img.youtube.com/vi/R528WbVdC0I/hqdefault.jpg", "youtube_id": "R528WbVdC0I", "content_kind": "Video", "readable_id": "bailout-13--does-the-bailout-have-a-chance-of-working"}, {"translated_youtube_id": "BdmI14oSe4g", "relative_url": "/video/bailout-14--possible-solution", "has_questions": false, "keywords": "bailout, paulson, bank, bernanke, credit, crisis", "ka_url": "http://www.khanacademy.org/video/bailout-14--possible-solution", "duration": 742, "translated_title": "Bailout 14: Possible solution", "translated_description_html": "A solution that is MUCH fairer that has a MUCH better chance of working!", "id": "24891", "description_html": "A solution that is MUCH fairer that has a MUCH better chance of working!", "title": "Bailout 14: Possible solution", "progress_key": "v24891", "edit_slug": "edit/v/24891", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A solution that is MUCH fairer that has a MUCH better chance of working!", "extra_properties": null, "node_slug": "v/bailout-14--possible-solution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.mp4/BdmI14oSe4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.mp4/BdmI14oSe4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.m3u8/BdmI14oSe4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BdmI14oSe4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24891", "sha": "4d99c14ff5f23aacd0b735f7ac5d4c0e680a077b", "translated_description": "A solution that is MUCH fairer that has a MUCH better chance of working!", "image_url": "https://img.youtube.com/vi/BdmI14oSe4g/hqdefault.jpg", "youtube_id": "BdmI14oSe4g", "content_kind": "Video", "readable_id": "bailout-14--possible-solution"}, {"translated_youtube_id": "-KrSxA9NCf0", "relative_url": "/video/bailout-15--more-on-the-solution", "has_questions": false, "keywords": "paulson, bailout, fed, inflation, deflation, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-15--more-on-the-solution", "duration": 609, "translated_title": "Bailout 15: More on the solution", "translated_description_html": "More on the \"Plutsky Plan\".", "id": "24893", "description_html": "More on the \"Plutsky Plan\".", "title": "Bailout 15: More on the solution", "progress_key": "v24893", "edit_slug": "edit/v/24893", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the \"Plutsky Plan\".", "extra_properties": null, "node_slug": "v/bailout-15--more-on-the-solution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.m3u8/-KrSxA9NCf0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-KrSxA9NCf0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24893", "sha": "3cbcf36477b6e78e3c9bd113979cb6c3209a31d9", "translated_description": "More on the \"Plutsky Plan\".", "image_url": "https://img.youtube.com/vi/-KrSxA9NCf0/hqdefault.jpg", "youtube_id": "-KrSxA9NCf0", "content_kind": "Video", "readable_id": "bailout-15--more-on-the-solution"}], "twitter_url": "", "translated_description": "In the fall of 2008, it became clear that a cascade of bank failures was happening because of shoddy loans and exotic securities (both which fueled a now popping housing bubble). In an attempt to avoid a depression, the Treasury Secretary (Hank Paulson) wanted to pour $1 Trillion into the same banks that had created the mess.\n\nThis tutorial walks us through the beginnings of the mess and possible solutions. Historical note: it was created as the crisis was unfolding.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the fall of 2008, it became clear that a cascade of bank failures was happening because of shoddy loans and exotic securities (both which fueled a now popping housing bubble). In an attempt to avoid a depression, the Treasury Secretary (Hank Paulson) wanted to pour $1 Trillion into the same banks that had created the mess.\n\nThis tutorial walks us through the beginnings of the mess and possible solutions. Historical note: it was created as the crisis was unfolding.", "x_pos": 0.0, "node_slug": "paulson-bailout", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb0762ad5", "topic_page_url": "/economics-finance-domain/core-finance/housing/paulson-bailout", "extended_slug": "economics-finance-domain/core-finance/housing/paulson-bailout", "slug": "paulson-bailout", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4104a4c3862ce71278037be336af164c5ca1d33a", "standalone_title": "Paulson Bailout", "y_pos": 0.0, "current_revision_key": "4104a4c3862ce71278037be336af164c5ca1d33a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/housing/investment-consumption", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/housing/investment-consumption", "translated_standalone_title": "Investment and consumption", "translated_title": "Investment and consumption", "gplus_url": "", "id": "x2334e4f7", "old_key_name": "8hwZZM17D-pSbIHp78K6j0wuOjyTVhF2zLuHMh2o", "hide": false, "title": "Investment and consumption", "child_data": [{"kind": "Video", "id": 109588142}, {"kind": "Video", "id": 109588141}, {"kind": "Video", "id": 24842}, {"kind": "Video", "id": 24880}, {"kind": "Video", "id": 24882}, {"kind": "Video", "id": 24684}, {"kind": "Video", "id": 24686}, {"kind": "Video", "id": 65171990}], "children": [{"translated_youtube_id": "mv5zucjq60k", "relative_url": "/video/risk-and-reward-introduction", "has_questions": false, "keywords": "risk, reward, introduction", "ka_url": "http://www.khanacademy.org/video/risk-and-reward-introduction", "duration": 699, "translated_title": "Risk and reward introduction", "translated_description_html": "Basic introduction to risk and reward", "id": "109588142", "description_html": "Basic introduction to risk and reward", "title": "Risk and reward introduction", "progress_key": "v109588142", "edit_slug": "edit/v/109588142", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic introduction to risk and reward", "extra_properties": null, "node_slug": "v/risk-and-reward-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-07T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mv5zucjq60k.mp4/mv5zucjq60k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mv5zucjq60k.mp4/mv5zucjq60k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mv5zucjq60k.m3u8/mv5zucjq60k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mv5zucjq60k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588142", "sha": "0c4016e47b27c11e1a0fa722b666b1399595eb27", "translated_description": "Basic introduction to risk and reward", "image_url": "https://img.youtube.com/vi/mv5zucjq60k/hqdefault.jpg", "youtube_id": "mv5zucjq60k", "content_kind": "Video", "readable_id": "risk-and-reward-introduction"}, {"translated_youtube_id": "ivy1QmWUtQI", "relative_url": "/video/human-capital", "has_questions": false, "keywords": "capitalism, factors, of, production", "ka_url": "http://www.khanacademy.org/video/human-capital", "duration": 357, "translated_title": "Human capital", "translated_description_html": "Basic overview of capital and human capital", "id": "109588141", "description_html": "Basic overview of capital and human capital", "title": "Human capital", "progress_key": "v109588141", "edit_slug": "edit/v/109588141", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic overview of capital and human capital", "extra_properties": null, "node_slug": "v/human-capital", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-06-07T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ivy1QmWUtQI.mp4/ivy1QmWUtQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ivy1QmWUtQI.mp4/ivy1QmWUtQI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ivy1QmWUtQI.m3u8/ivy1QmWUtQI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ivy1QmWUtQI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588141", "sha": "f641275bbb9277835b35ad9eb8066a00f2b4a667", "translated_description": "Basic overview of capital and human capital", "image_url": "https://img.youtube.com/vi/ivy1QmWUtQI/hqdefault.jpg", "youtube_id": "ivy1QmWUtQI", "content_kind": "Video", "readable_id": "human-capital"}, {"translated_youtube_id": "9T6ZPYYu_Dk", "relative_url": "/video/return-on-capital", "has_questions": false, "keywords": "finance, ROC, ROIC", "ka_url": "http://www.khanacademy.org/video/return-on-capital", "duration": 588, "translated_title": "Return on capital", "translated_description_html": "Introduction to return on capital and cost of capital. Using these concepts to decide where to invest.", "id": "24842", "description_html": "Introduction to return on capital and cost of capital. Using these concepts to decide where to invest.", "title": "Return on capital", "progress_key": "v24842", "edit_slug": "edit/v/24842", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to return on capital and cost of capital. Using these concepts to decide where to invest.", "extra_properties": null, "node_slug": "v/return-on-capital", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.mp4/9T6ZPYYu_Dk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.mp4/9T6ZPYYu_Dk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.m3u8/9T6ZPYYu_Dk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9T6ZPYYu_Dk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24842", "sha": "57eaf5c170ccca76de3e1d9b443a49f60518a729", "translated_description": "Introduction to return on capital and cost of capital. Using these concepts to decide where to invest.", "image_url": "https://img.youtube.com/vi/9T6ZPYYu_Dk/hqdefault.jpg", "youtube_id": "9T6ZPYYu_Dk", "content_kind": "Video", "readable_id": "return-on-capital"}, {"translated_youtube_id": "rEiLOB4FulY", "relative_url": "/video/investment-vs--consumption-1", "has_questions": false, "keywords": "investment, consumption, speculation", "ka_url": "http://www.khanacademy.org/video/investment-vs--consumption-1", "duration": 591, "translated_title": "Investment vs. consumption 1", "translated_description_html": "The difference between investment and consumption.", "id": "24880", "description_html": "The difference between investment and consumption.", "title": "Investment vs. consumption 1", "progress_key": "v24880", "edit_slug": "edit/v/24880", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between investment and consumption.", "extra_properties": null, "node_slug": "v/investment-vs--consumption-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rEiLOB4FulY.mp4/rEiLOB4FulY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rEiLOB4FulY.mp4/rEiLOB4FulY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rEiLOB4FulY.m3u8/rEiLOB4FulY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rEiLOB4FulY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24880", "sha": "d57d4f08928bad4a657f03ae859e59dc06b4e5b9", "translated_description": "The difference between investment and consumption.", "image_url": "https://img.youtube.com/vi/rEiLOB4FulY/hqdefault.jpg", "youtube_id": "rEiLOB4FulY", "content_kind": "Video", "readable_id": "investment-vs--consumption-1"}, {"translated_youtube_id": "xRjfRVXXFxU", "relative_url": "/video/investment-vs--comsumption-2", "has_questions": false, "keywords": "investment, consumption, speculation", "ka_url": "http://www.khanacademy.org/video/investment-vs--comsumption-2", "duration": 613, "translated_title": "Investment vs. consumption 2", "translated_description_html": "More investment vs. consumption examples.", "id": "24882", "description_html": "More investment vs. consumption examples.", "title": "Investment vs. consumption 2", "progress_key": "v24882", "edit_slug": "edit/v/24882", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More investment vs. consumption examples.", "extra_properties": null, "node_slug": "v/investment-vs--comsumption-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xRjfRVXXFxU.mp4/xRjfRVXXFxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xRjfRVXXFxU.mp4/xRjfRVXXFxU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xRjfRVXXFxU.m3u8/xRjfRVXXFxU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xRjfRVXXFxU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24882", "sha": "25709f9252119d73559e16868fecdfd8f272bb33", "translated_description": "More investment vs. consumption examples.", "image_url": "https://img.youtube.com/vi/xRjfRVXXFxU/hqdefault.jpg", "youtube_id": "xRjfRVXXFxU", "content_kind": "Video", "readable_id": "investment-vs--comsumption-2"}, {"translated_youtube_id": "Q7HbtnOyKMg", "relative_url": "/video/wealth-destruction-1", "has_questions": false, "keywords": "bailout, paulson, credit, crisis, bernanke, bubble, housing", "ka_url": "http://www.khanacademy.org/video/wealth-destruction-1", "duration": 630, "translated_title": "Wealth destruction 1", "translated_description_html": "How bubbles destroy wealth.", "id": "24684", "description_html": "How bubbles destroy wealth.", "title": "Wealth destruction 1", "progress_key": "v24684", "edit_slug": "edit/v/24684", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How bubbles destroy wealth.", "extra_properties": null, "node_slug": "v/wealth-destruction-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.mp4/Q7HbtnOyKMg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.mp4/Q7HbtnOyKMg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q7HbtnOyKMg.m3u8/Q7HbtnOyKMg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q7HbtnOyKMg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24684", "sha": "d7b1db1751e0036d288bac4b6042fedd3af43e86", "translated_description": "How bubbles destroy wealth.", "image_url": "https://img.youtube.com/vi/Q7HbtnOyKMg/hqdefault.jpg", "youtube_id": "Q7HbtnOyKMg", "content_kind": "Video", "readable_id": "wealth-destruction-1"}, {"translated_youtube_id": "eRImmzuExyg", "relative_url": "/video/wealth-destruction-2", "has_questions": false, "keywords": "bailout, paulson, credit, crisis, bernanke, bubble, housing", "ka_url": "http://www.khanacademy.org/video/wealth-destruction-2", "duration": 640, "translated_title": "Wealth destruction 2", "translated_description_html": "How bubbles destroy wealth.", "id": "24686", "description_html": "How bubbles destroy wealth.", "title": "Wealth destruction 2", "progress_key": "v24686", "edit_slug": "edit/v/24686", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How bubbles destroy wealth.", "extra_properties": null, "node_slug": "v/wealth-destruction-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.mp4/eRImmzuExyg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.mp4/eRImmzuExyg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eRImmzuExyg.m3u8/eRImmzuExyg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eRImmzuExyg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24686", "sha": "c0f6c0d088f59a4f31e6c4e221e4561e92a48912", "translated_description": "How bubbles destroy wealth.", "image_url": "https://img.youtube.com/vi/eRImmzuExyg/hqdefault.jpg", "youtube_id": "eRImmzuExyg", "content_kind": "Video", "readable_id": "wealth-destruction-2"}, {"translated_youtube_id": "bAU1MLRwh7c", "relative_url": "/video/back-of-envelope-office-space-conundrum", "has_questions": false, "keywords": "finance, lease", "ka_url": "http://www.khanacademy.org/video/back-of-envelope-office-space-conundrum", "duration": 228, "translated_title": "Back-of-envelope office space conundrum", "translated_description_html": "Back of the envelope calculation of which office space to rent", "id": "65171990", "description_html": "Back of the envelope calculation of which office space to rent", "title": "Back-of-envelope office space conundrum", "progress_key": "v65171990", "edit_slug": "edit/v/65171990", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Back of the envelope calculation of which office space to rent", "extra_properties": null, "node_slug": "v/back-of-envelope-office-space-conundrum", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bAU1MLRwh7c.mp4/bAU1MLRwh7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bAU1MLRwh7c.mp4/bAU1MLRwh7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bAU1MLRwh7c.m3u8/bAU1MLRwh7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bAU1MLRwh7c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171990", "sha": "97ec292a8e8091b845df620f033a2b16e84f259e", "translated_description": "Back of the envelope calculation of which office space to rent", "image_url": "https://img.youtube.com/vi/bAU1MLRwh7c/hqdefault.jpg", "youtube_id": "bAU1MLRwh7c", "content_kind": "Video", "readable_id": "back-of-envelope-office-space-conundrum"}], "twitter_url": "", "translated_description": "When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities?\n\nThis tutorial hodge-podge covers it all.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities?\n\nThis tutorial hodge-podge covers it all.", "x_pos": 0.0, "node_slug": "investment-consumption", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2334e4f7", "topic_page_url": "/economics-finance-domain/core-finance/housing/investment-consumption", "extended_slug": "economics-finance-domain/core-finance/housing/investment-consumption", "slug": "investment-consumption", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4c3c717fc80c24f8dc81be34d285c5799f43fdfa", "standalone_title": "Investment and consumption", "y_pos": 0.0, "current_revision_key": "4c3c717fc80c24f8dc81be34d285c5799f43fdfa", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "housing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1f4c64fb", "topic_page_url": "/economics-finance-domain/core-finance/housing", "extended_slug": "economics-finance-domain/core-finance/housing", "slug": "housing", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b3614371f5d090f77508bbe2e1ff963254880c41", "standalone_title": "Housing", "y_pos": 0.0, "current_revision_key": "b3614371f5d090f77508bbe2e1ff963254880c41", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial", "translated_standalone_title": "Inflation", "translated_title": "Inflation", "gplus_url": "", "id": "xc29ba30c", "old_key_name": "YPhrSBUtBXSbDIcrxiq-S0fekVOFX8EyrTgt3fqe", "hide": false, "title": "Inflation", "child_data": [{"kind": "Topic", "id": "xfa1a252a"}, {"kind": "Topic", "id": "xcebd70b9"}, {"kind": "Topic", "id": "x62c80274"}, {"kind": "Topic", "id": "xc9551e11"}, {"kind": "Topic", "id": "x64ee47f7"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial", "translated_standalone_title": "Consumer price index", "translated_title": "Inflation basics", "gplus_url": "", "id": "xfa1a252a", "old_key_name": "W7LEiwZ4C9w9WbgA8Id5untShY4BCeo9f7J38iiJ", "hide": false, "title": "Inflation basics", "child_data": [{"kind": "Video", "id": 195783500}, {"kind": "Video", "id": 167407354}, {"kind": "Video", "id": 167407349}, {"kind": "Video", "id": 364059}], "children": [{"translated_youtube_id": "-Z5kkfrEc8I", "relative_url": "/video/inflation-overview", "has_questions": false, "keywords": "finance, economics", "ka_url": "http://www.khanacademy.org/video/inflation-overview", "duration": 558, "translated_title": "Inflation overview", "translated_description_html": "

Basic understanding of Inflation<\/p>", "id": "195783500", "description_html": "

Basic understanding of Inflation<\/p>", "title": "Inflation overview", "progress_key": "v195783500", "edit_slug": "edit/v/195783500", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic understanding of Inflation", "extra_properties": {}, "node_slug": "v/inflation-overview", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2011-08-12T18:49:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-Z5kkfrEc8I.mp4/-Z5kkfrEc8I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-Z5kkfrEc8I.mp4/-Z5kkfrEc8I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-Z5kkfrEc8I.m3u8/-Z5kkfrEc8I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-Z5kkfrEc8I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v195783500", "sha": "562b1ee1ac9542f7ef8153558b3647bee5f448d6", "translated_description": "Basic understanding of Inflation", "image_url": "https://img.youtube.com/vi/-Z5kkfrEc8I/hqdefault.jpg", "youtube_id": "-Z5kkfrEc8I", "content_kind": "Video", "readable_id": "inflation-overview"}, {"translated_youtube_id": "yahEP620480", "relative_url": "/video/what-is-inflation", "has_questions": false, "keywords": "inflation, consumer, price, index, cpi, finance, economics", "ka_url": "http://www.khanacademy.org/video/what-is-inflation", "duration": 210, "translated_title": "What is inflation", "translated_description_html": "The basics of what price inflation is and how the CPI-U is calculated", "id": "167407354", "description_html": "The basics of what price inflation is and how the CPI-U is calculated", "title": "What is inflation", "progress_key": "v167407354", "edit_slug": "edit/v/167407354", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The basics of what price inflation is and how the CPI-U is calculated", "extra_properties": null, "node_slug": "v/what-is-inflation", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.mp4/yahEP620480.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.mp4/yahEP620480.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.m3u8/yahEP620480.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yahEP620480&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407354", "sha": "7c8e8404bc03d77392e1302725755bf0e9c522fa", "translated_description": "The basics of what price inflation is and how the CPI-U is calculated", "image_url": "https://img.youtube.com/vi/yahEP620480/hqdefault.jpg", "youtube_id": "yahEP620480", "content_kind": "Video", "readable_id": "what-is-inflation"}, {"translated_youtube_id": "DK1lCc9b7bg", "relative_url": "/video/inflation-data", "has_questions": false, "keywords": "finance, inflation", "ka_url": "http://www.khanacademy.org/video/inflation-data", "duration": 210, "translated_title": "Inflation data", "translated_description_html": "Looking at actual sequential and year-over-year inflation data", "id": "167407349", "description_html": "Looking at actual sequential and year-over-year inflation data", "title": "Inflation data", "progress_key": "v167407349", "edit_slug": "edit/v/167407349", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Looking at actual sequential and year-over-year inflation data", "extra_properties": null, "node_slug": "v/inflation-data", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.m3u8/DK1lCc9b7bg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DK1lCc9b7bg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407349", "sha": "90d6baf29e00f6eaf606e60fb86797f000aef0e0", "translated_description": "Looking at actual sequential and year-over-year inflation data", "image_url": "https://img.youtube.com/vi/DK1lCc9b7bg/hqdefault.jpg", "youtube_id": "DK1lCc9b7bg", "content_kind": "Video", "readable_id": "inflation-data"}, {"translated_youtube_id": "pRIELoITIHI", "relative_url": "/video/cpi-index", "has_questions": false, "keywords": "CPI, inflation, owner's, equivalent, rent, deflation", "ka_url": "http://www.khanacademy.org/video/cpi-index", "duration": 929, "translated_title": "CPI index", "translated_description_html": "Discussion of inflation, the CPI index and owners' equivalent rent.", "id": "364059", "description_html": "Discussion of inflation, the CPI index and owners' equivalent rent.", "title": "CPI index", "progress_key": "v364059", "edit_slug": "edit/v/364059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Discussion of inflation, the CPI index and owners' equivalent rent.", "extra_properties": null, "node_slug": "v/cpi-index", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pRIELoITIHI.mp4/pRIELoITIHI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pRIELoITIHI.mp4/pRIELoITIHI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pRIELoITIHI.m3u8/pRIELoITIHI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pRIELoITIHI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v364059", "sha": "c4876215a4b6126b641e28794ee7f15863bb649e", "translated_description": "Discussion of inflation, the CPI index and owners' equivalent rent.", "image_url": "https://img.youtube.com/vi/pRIELoITIHI/hqdefault.jpg", "youtube_id": "pRIELoITIHI", "content_kind": "Video", "readable_id": "cpi-index"}], "twitter_url": "", "translated_description": "$1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "$1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)?", "x_pos": 0.0, "node_slug": "inflation-basics-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa1a252a", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial", "slug": "inflation-basics-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "bc8380aa8ce1295d0b2dbe25fdf761272da31d36", "standalone_title": "Consumer price index", "y_pos": 0.0, "current_revision_key": "bc8380aa8ce1295d0b2dbe25fdf761272da31d36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial", "translated_standalone_title": "Inflation scenarios", "translated_title": "Inflation scenarios", "gplus_url": "", "id": "xcebd70b9", "old_key_name": "8dUvOnVe6qjUJdziwupDzKbiDXpzalpR_v_PrzMO", "hide": false, "title": "Inflation scenarios", "child_data": [{"kind": "Video", "id": 167407356}, {"kind": "Video", "id": 167407351}, {"kind": "Video", "id": 172846853}], "children": [{"translated_youtube_id": "Z_DcXewHHA8", "relative_url": "/video/moderate-inflation-in-a-good-economy", "has_questions": false, "keywords": "inflation, deflation, economic, cycles", "ka_url": "http://www.khanacademy.org/video/moderate-inflation-in-a-good-economy", "duration": 175, "translated_title": "Moderate inflation in a good economy", "translated_description_html": "Why there tends to be moderate inflation during good economies", "id": "167407356", "description_html": "Why there tends to be moderate inflation during good economies", "title": "Moderate inflation in a good economy", "progress_key": "v167407356", "edit_slug": "edit/v/167407356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why there tends to be moderate inflation during good economies", "extra_properties": null, "node_slug": "v/moderate-inflation-in-a-good-economy", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.mp4/Z_DcXewHHA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.mp4/Z_DcXewHHA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.m3u8/Z_DcXewHHA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z_DcXewHHA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407356", "sha": "378a1d4d7d7d3b405ac3d38a7b13dc372d9e452b", "translated_description": "Why there tends to be moderate inflation during good economies", "image_url": "https://img.youtube.com/vi/Z_DcXewHHA8/hqdefault.jpg", "youtube_id": "Z_DcXewHHA8", "content_kind": "Video", "readable_id": "moderate-inflation-in-a-good-economy"}, {"translated_youtube_id": "bTz_tx460EY", "relative_url": "/video/stagflation", "has_questions": false, "keywords": "inflation, deflation, stagnation, finance", "ka_url": "http://www.khanacademy.org/video/stagflation", "duration": 176, "translated_title": "Stagflation", "translated_description_html": "How a supply shock can cause prices to rise and the economy to stagnate", "id": "167407351", "description_html": "How a supply shock can cause prices to rise and the economy to stagnate", "title": "Stagflation", "progress_key": "v167407351", "edit_slug": "edit/v/167407351", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How a supply shock can cause prices to rise and the economy to stagnate", "extra_properties": null, "node_slug": "v/stagflation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.m3u8/bTz_tx460EY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bTz_tx460EY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407351", "sha": "0af40feaef56da6b3cb27350347012deaf9cabb7", "translated_description": "How a supply shock can cause prices to rise and the economy to stagnate", "image_url": "https://img.youtube.com/vi/bTz_tx460EY/hqdefault.jpg", "youtube_id": "bTz_tx460EY", "content_kind": "Video", "readable_id": "stagflation"}, {"translated_youtube_id": "AC_kjcuHpZw", "relative_url": "/video/hyperinflation", "has_questions": false, "keywords": "Zimbabwe, spiral, finance", "ka_url": "http://www.khanacademy.org/video/hyperinflation", "duration": 242, "translated_title": "Hyperinflation", "translated_description_html": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "id": "172846853", "description_html": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "title": "Hyperinflation", "progress_key": "v172846853", "edit_slug": "edit/v/172846853", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "extra_properties": null, "node_slug": "v/hyperinflation", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-25T23:26:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.m3u8/AC_kjcuHpZw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AC_kjcuHpZw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v172846853", "sha": "aa24f0a625fbaacf4134ac006a3ed3d255998775", "translated_description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", "image_url": "https://img.youtube.com/vi/AC_kjcuHpZw/hqdefault.jpg", "youtube_id": "AC_kjcuHpZw", "content_kind": "Video", "readable_id": "hyperinflation"}], "twitter_url": "", "translated_description": "You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is \"acceptable\" and when it isn't (and the causes and repercussions).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is \"acceptable\" and when it isn't (and the causes and repercussions).", "x_pos": 0.0, "node_slug": "inflation-scenarios-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcebd70b9", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial", "slug": "inflation-scenarios-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "481c9272379bd7adfbe83f103e615bebbcb46bb8", "standalone_title": "Inflation scenarios", "y_pos": 0.0, "current_revision_key": "481c9272379bd7adfbe83f103e615bebbcb46bb8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut", "translated_standalone_title": "Real and nominal return", "translated_title": "Real and nominal return", "gplus_url": "", "id": "x62c80274", "old_key_name": "-cNVC7pj4YXgH2bljDAOxX9-LKcgBbKKYyTTu4lC", "hide": false, "title": "Real and nominal return", "child_data": [{"kind": "Video", "id": 167407357}, {"kind": "Video", "id": 167407353}, {"kind": "Video", "id": 167407352}], "children": [{"translated_youtube_id": "cNm196bVE5A", "relative_url": "/video/real-and-nominal-return", "has_questions": false, "keywords": "finance, inflation", "ka_url": "http://www.khanacademy.org/video/real-and-nominal-return", "duration": 190, "translated_title": "Real and nominal return", "translated_description_html": "Inflation and real and nominal return", "id": "167407357", "description_html": "Inflation and real and nominal return", "title": "Real and nominal return", "progress_key": "v167407357", "edit_slug": "edit/v/167407357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Inflation and real and nominal return", "extra_properties": null, "node_slug": "v/real-and-nominal-return", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.m3u8/cNm196bVE5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cNm196bVE5A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407357", "sha": "1b8c7e4888e3971b2cc2e6ef03760b706b161ed3", "translated_description": "Inflation and real and nominal return", "image_url": "https://img.youtube.com/vi/cNm196bVE5A/hqdefault.jpg", "youtube_id": "cNm196bVE5A", "content_kind": "Video", "readable_id": "real-and-nominal-return"}, {"translated_youtube_id": "GiB9Mkgkrek", "relative_url": "/video/calculating-real-return-in-last-year-dollars", "has_questions": false, "keywords": "finance, inflation, discount, rate, real, nominal, return", "ka_url": "http://www.khanacademy.org/video/calculating-real-return-in-last-year-dollars", "duration": 170, "translated_title": "Calculating real return in last year dollars", "translated_description_html": "Calculating real return in last year dollars", "id": "167407353", "description_html": "Calculating real return in last year dollars", "title": "Calculating real return in last year dollars", "progress_key": "v167407353", "edit_slug": "edit/v/167407353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Calculating real return in last year dollars", "extra_properties": null, "node_slug": "v/calculating-real-return-in-last-year-dollars", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.m3u8/GiB9Mkgkrek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GiB9Mkgkrek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407353", "sha": "889d1e95e23dc5228483bcc0a96774733e570b9a", "translated_description": "Calculating real return in last year dollars", "image_url": "https://img.youtube.com/vi/GiB9Mkgkrek/hqdefault.jpg", "youtube_id": "GiB9Mkgkrek", "content_kind": "Video", "readable_id": "calculating-real-return-in-last-year-dollars"}, {"translated_youtube_id": "6ycEasF48zI", "relative_url": "/video/relation-between-nominal-and-real-returns-and-inflation", "has_questions": false, "keywords": "finance, real, return, inflation, nominal", "ka_url": "http://www.khanacademy.org/video/relation-between-nominal-and-real-returns-and-inflation", "duration": 225, "translated_title": "Relation between nominal and real returns and inflation", "translated_description_html": "Relation between nominal and real returns and inflation", "id": "167407352", "description_html": "Relation between nominal and real returns and inflation", "title": "Relation between nominal and real returns and inflation", "progress_key": "v167407352", "edit_slug": "edit/v/167407352", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Relation between nominal and real returns and inflation", "extra_properties": null, "node_slug": "v/relation-between-nominal-and-real-returns-and-inflation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.m3u8/6ycEasF48zI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6ycEasF48zI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407352", "sha": "90068d09a9e09a8c810a3917a5aef177fe435226", "translated_description": "Relation between nominal and real returns and inflation", "image_url": "https://img.youtube.com/vi/6ycEasF48zI/hqdefault.jpg", "youtube_id": "6ycEasF48zI", "content_kind": "Video", "readable_id": "relation-between-nominal-and-real-returns-and-inflation"}], "twitter_url": "", "translated_description": "If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on \"present value\").", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on \"present value\").", "x_pos": 0.0, "node_slug": "real-nominal-return-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax62c80274", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut", "slug": "real-nominal-return-tut", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "998eae371c5070b94de840058dd8b3dcdc188ae8", "standalone_title": "Real and nominal return", "y_pos": 0.0, "current_revision_key": "998eae371c5070b94de840058dd8b3dcdc188ae8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation", "translated_standalone_title": "Capacity utilization and inflation", "translated_title": "Capacity utilization and inflation", "gplus_url": "", "id": "xc9551e11", "old_key_name": "BFib6xOaoAdskta2F6TLt10Ja4W2WDYP4QeUGaFR", "hide": false, "title": "Capacity utilization and inflation", "child_data": [{"kind": "Video", "id": 410033}, {"kind": "Video", "id": 397053}, {"kind": "Video", "id": 431001}, {"kind": "Video", "id": 359054}, {"kind": "Video", "id": 397054}, {"kind": "Video", "id": 406025}], "children": [{"translated_youtube_id": "XDIBJyNnLOU", "relative_url": "/video/economics-of-a-cupcake-factory", "has_questions": false, "keywords": "economics, finance, inflation, deflation, income, statement", "ka_url": "http://www.khanacademy.org/video/economics-of-a-cupcake-factory", "duration": 673, "translated_title": "Economics of a cupcake factory", "translated_description_html": "Economics of a simple business leading up to a discussion on inflation/deflation. Touching on income statements.", "id": "410033", "description_html": "Economics of a simple business leading up to a discussion on inflation/deflation. Touching on income statements.", "title": "Economics of a cupcake factory", "progress_key": "v410033", "edit_slug": "edit/v/410033", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Economics of a simple business leading up to a discussion on inflation/deflation. Touching on income statements.", "extra_properties": null, "node_slug": "v/economics-of-a-cupcake-factory", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDIBJyNnLOU.mp4/XDIBJyNnLOU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XDIBJyNnLOU.mp4/XDIBJyNnLOU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDIBJyNnLOU.m3u8/XDIBJyNnLOU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XDIBJyNnLOU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v410033", "sha": "6a4618d625cc99fefcb2b3b40abb2282b8dffbbf", "translated_description": "Economics of a simple business leading up to a discussion on inflation/deflation. Touching on income statements.", "image_url": "https://img.youtube.com/vi/XDIBJyNnLOU/hqdefault.jpg", "youtube_id": "XDIBJyNnLOU", "content_kind": "Video", "readable_id": "economics-of-a-cupcake-factory"}, {"translated_youtube_id": "-LTXzYXaAuk", "relative_url": "/video/cupcake-economics-2", "has_questions": false, "keywords": "economics, finance, inflation, deflation, income, statement", "ka_url": "http://www.khanacademy.org/video/cupcake-economics-2", "duration": 697, "translated_title": "Cupcake economics 2", "translated_description_html": "More analysis of the cupcake business.", "id": "397053", "description_html": "More analysis of the cupcake business.", "title": "Cupcake economics 2", "progress_key": "v397053", "edit_slug": "edit/v/397053", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More analysis of the cupcake business.", "extra_properties": null, "node_slug": "v/cupcake-economics-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-LTXzYXaAuk.mp4/-LTXzYXaAuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-LTXzYXaAuk.mp4/-LTXzYXaAuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-LTXzYXaAuk.m3u8/-LTXzYXaAuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-LTXzYXaAuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v397053", "sha": "05e361d933bff8a3bd58729c8e0feea40853eba7", "translated_description": "More analysis of the cupcake business.", "image_url": "https://img.youtube.com/vi/-LTXzYXaAuk/hqdefault.jpg", "youtube_id": "-LTXzYXaAuk", "content_kind": "Video", "readable_id": "cupcake-economics-2"}, {"translated_youtube_id": "8x1-TeDxblU", "relative_url": "/video/cupcake-economics-3", "has_questions": false, "keywords": "economics, finance, inflation, deflation, income, statement", "ka_url": "http://www.khanacademy.org/video/cupcake-economics-3", "duration": 778, "translated_title": "Cupcake economics 3", "translated_description_html": "Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.", "id": "431001", "description_html": "Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.", "title": "Cupcake economics 3", "progress_key": "v431001", "edit_slug": "edit/v/431001", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.", "extra_properties": null, "node_slug": "v/cupcake-economics-3", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8x1-TeDxblU.mp4/8x1-TeDxblU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8x1-TeDxblU.mp4/8x1-TeDxblU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8x1-TeDxblU.m3u8/8x1-TeDxblU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8x1-TeDxblU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v431001", "sha": "842c4743c7ef5869b172949588619f9819d26dd6", "translated_description": "Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.", "image_url": "https://img.youtube.com/vi/8x1-TeDxblU/hqdefault.jpg", "youtube_id": "8x1-TeDxblU", "content_kind": "Video", "readable_id": "cupcake-economics-3"}, {"translated_youtube_id": "LXrPdFn7Gn4", "relative_url": "/video/inflation--deflation---capacity-utilization", "has_questions": false, "keywords": "inflation, money, supply, deflation", "ka_url": "http://www.khanacademy.org/video/inflation--deflation---capacity-utilization", "duration": 752, "translated_title": "Inflation, deflation, and capacity utilization", "translated_description_html": "A discussion of inflation and deflation", "id": "359054", "description_html": "A discussion of inflation and deflation", "title": "Inflation, deflation, and capacity utilization", "progress_key": "v359054", "edit_slug": "edit/v/359054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A discussion of inflation and deflation", "extra_properties": null, "node_slug": "v/inflation--deflation---capacity-utilization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LXrPdFn7Gn4.mp4/LXrPdFn7Gn4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LXrPdFn7Gn4.mp4/LXrPdFn7Gn4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LXrPdFn7Gn4.m3u8/LXrPdFn7Gn4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LXrPdFn7Gn4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v359054", "sha": "1138198219dd66e93133e679aec088b9e1067c3a", "translated_description": "A discussion of inflation and deflation", "image_url": "https://img.youtube.com/vi/LXrPdFn7Gn4/hqdefault.jpg", "youtube_id": "LXrPdFn7Gn4", "content_kind": "Video", "readable_id": "inflation--deflation---capacity-utilization"}, {"translated_youtube_id": "cugQ4z4cJF8", "relative_url": "/video/inflation--deflation---capacity-utilization-2", "has_questions": false, "keywords": "inflation, money, supply, deflation", "ka_url": "http://www.khanacademy.org/video/inflation--deflation---capacity-utilization-2", "duration": 709, "translated_title": "Inflation, deflation, and capacity utilization 2", "translated_description_html": "More on inflation and capacity utilization", "id": "397054", "description_html": "More on inflation and capacity utilization", "title": "Inflation, deflation, and capacity utilization 2", "progress_key": "v397054", "edit_slug": "edit/v/397054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More on inflation and capacity utilization", "extra_properties": null, "node_slug": "v/inflation--deflation---capacity-utilization-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cugQ4z4cJF8.mp4/cugQ4z4cJF8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cugQ4z4cJF8.mp4/cugQ4z4cJF8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cugQ4z4cJF8.m3u8/cugQ4z4cJF8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cugQ4z4cJF8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v397054", "sha": "a66b614bfbc33c498b88d2f977fa7b71e613c83f", "translated_description": "More on inflation and capacity utilization", "image_url": "https://img.youtube.com/vi/cugQ4z4cJF8/hqdefault.jpg", "youtube_id": "cugQ4z4cJF8", "content_kind": "Video", "readable_id": "inflation--deflation---capacity-utilization-2"}, {"translated_youtube_id": "sZRkERfzzn4", "relative_url": "/video/inflation---deflation-3--obama-stimulus-plan", "has_questions": false, "keywords": "obama, stimulus, inflation, deflation", "ka_url": "http://www.khanacademy.org/video/inflation---deflation-3--obama-stimulus-plan", "duration": 800, "translated_title": "Inflation and deflation 3: Obama stimulus plan", "translated_description_html": "Is the stimulus large enough to offset the demand shock caused by the contraction in credit? Will it lead to inflation?", "id": "406025", "description_html": "Is the stimulus large enough to offset the demand shock caused by the contraction in credit? Will it lead to inflation?", "title": "Inflation and deflation 3: Obama stimulus plan", "progress_key": "v406025", "edit_slug": "edit/v/406025", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Is the stimulus large enough to offset the demand shock caused by the contraction in credit? Will it lead to inflation?", "extra_properties": null, "node_slug": "v/inflation---deflation-3--obama-stimulus-plan", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sZRkERfzzn4.mp4/sZRkERfzzn4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sZRkERfzzn4.mp4/sZRkERfzzn4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sZRkERfzzn4.m3u8/sZRkERfzzn4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sZRkERfzzn4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v406025", "sha": "e6731f8bb48a90adc0b5fe91c29f8ca9cccefbf4", "translated_description": "Is the stimulus large enough to offset the demand shock caused by the contraction in credit? Will it lead to inflation?", "image_url": "https://img.youtube.com/vi/sZRkERfzzn4/hqdefault.jpg", "youtube_id": "sZRkERfzzn4", "content_kind": "Video", "readable_id": "inflation---deflation-3--obama-stimulus-plan"}], "twitter_url": "", "translated_description": "This tutorial starts with a very \"micro\" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial starts with a very \"micro\" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices.", "x_pos": 0.0, "node_slug": "cap-util-inflation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc9551e11", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation", "slug": "cap-util-inflation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "26fab71abae767d5857933c92c220a7c8d4a7b4e", "standalone_title": "Capacity utilization and inflation", "y_pos": 0.0, "current_revision_key": "26fab71abae767d5857933c92c220a7c8d4a7b4e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial", "translated_standalone_title": "Deflation", "translated_title": "Deflation", "gplus_url": "", "id": "x64ee47f7", "old_key_name": "pJYC4T5Sxw8W-PaYbfwlNGTtTV41Iqr_NV64y2mP", "hide": false, "title": "Deflation", "child_data": [{"kind": "Video", "id": 167407358}, {"kind": "Video", "id": 167407355}, {"kind": "Video", "id": 167407350}, {"kind": "Video", "id": 172846852}], "children": [{"translated_youtube_id": "FPh6EDv0Eew", "relative_url": "/video/deflation", "has_questions": false, "keywords": "finance, deflation", "ka_url": "http://www.khanacademy.org/video/deflation", "duration": 190, "translated_title": "Deflation", "translated_description_html": "Basics of deflation", "id": "167407358", "description_html": "Basics of deflation", "title": "Deflation", "progress_key": "v167407358", "edit_slug": "edit/v/167407358", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics of deflation", "extra_properties": null, "node_slug": "v/deflation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.m3u8/FPh6EDv0Eew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FPh6EDv0Eew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407358", "sha": "46065f9d2b3a2bd0785abe238de12f7d95226f35", "translated_description": "Basics of deflation", "image_url": "https://img.youtube.com/vi/FPh6EDv0Eew/hqdefault.jpg", "youtube_id": "FPh6EDv0Eew", "content_kind": "Video", "readable_id": "deflation"}, {"translated_youtube_id": "stfSnPaaK04", "relative_url": "/video/velocity-of-money-rather-than-quantity-driving-prices", "has_questions": false, "keywords": "finance, economics", "ka_url": "http://www.khanacademy.org/video/velocity-of-money-rather-than-quantity-driving-prices", "duration": 211, "translated_title": "Velocity of money rather than quantity driving prices", "translated_description_html": "How velocity of money can drive price increases", "id": "167407355", "description_html": "How velocity of money can drive price increases", "title": "Velocity of money rather than quantity driving prices", "progress_key": "v167407355", "edit_slug": "edit/v/167407355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How velocity of money can drive price increases", "extra_properties": null, "node_slug": "v/velocity-of-money-rather-than-quantity-driving-prices", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.m3u8/stfSnPaaK04.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=stfSnPaaK04&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407355", "sha": "3048f2f2548538db37ed167505b49e62384d38fa", "translated_description": "How velocity of money can drive price increases", "image_url": "https://img.youtube.com/vi/stfSnPaaK04/hqdefault.jpg", "youtube_id": "stfSnPaaK04", "content_kind": "Video", "readable_id": "velocity-of-money-rather-than-quantity-driving-prices"}, {"translated_youtube_id": "t2AeULH_Ijw", "relative_url": "/video/deflation-despite-increases-in-money-supply", "has_questions": false, "keywords": "deflation, inflation, japan", "ka_url": "http://www.khanacademy.org/video/deflation-despite-increases-in-money-supply", "duration": 244, "translated_title": "Deflation despite increases in money supply", "translated_description_html": "How you can have deflation even if the money supply increases", "id": "167407350", "description_html": "How you can have deflation even if the money supply increases", "title": "Deflation despite increases in money supply", "progress_key": "v167407350", "edit_slug": "edit/v/167407350", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How you can have deflation even if the money supply increases", "extra_properties": null, "node_slug": "v/deflation-despite-increases-in-money-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.m3u8/t2AeULH_Ijw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t2AeULH_Ijw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407350", "sha": "44123453791b3186df59fa668c38a113c4b597c3", "translated_description": "How you can have deflation even if the money supply increases", "image_url": "https://img.youtube.com/vi/t2AeULH_Ijw/hqdefault.jpg", "youtube_id": "t2AeULH_Ijw", "content_kind": "Video", "readable_id": "deflation-despite-increases-in-money-supply"}, {"translated_youtube_id": "snX4Wf7PGts", "relative_url": "/video/deflationary-spiral", "has_questions": false, "keywords": "finance, depression", "ka_url": "http://www.khanacademy.org/video/deflationary-spiral", "duration": 231, "translated_title": "Deflationary spiral", "translated_description_html": "Basics of a deflationary spiral", "id": "172846852", "description_html": "Basics of a deflationary spiral", "title": "Deflationary spiral", "progress_key": "v172846852", "edit_slug": "edit/v/172846852", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics of a deflationary spiral", "extra_properties": null, "node_slug": "v/deflationary-spiral", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-07-25T23:26:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.m3u8/snX4Wf7PGts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=snX4Wf7PGts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v172846852", "sha": "7564994c1b274dbb2027f43b008fe68a9d8ac5e0", "translated_description": "Basics of a deflationary spiral", "image_url": "https://img.youtube.com/vi/snX4Wf7PGts/hqdefault.jpg", "youtube_id": "snX4Wf7PGts", "content_kind": "Video", "readable_id": "deflationary-spiral"}], "twitter_url": "", "translated_description": "Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be.", "x_pos": 0.0, "node_slug": "deflation-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax64ee47f7", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial", "slug": "deflation-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "50948de181242001dea4212d744050df81bf755f", "standalone_title": "Deflation", "y_pos": 0.0, "current_revision_key": "50948de181242001dea4212d744050df81bf755f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "inflation-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc29ba30c", "topic_page_url": "/economics-finance-domain/core-finance/inflation-tutorial", "extended_slug": "economics-finance-domain/core-finance/inflation-tutorial", "slug": "inflation-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "360c655a2ba1494ab4c465fc4cd62ffe50e2e6ae", "standalone_title": "Inflation", "y_pos": 0.0, "current_revision_key": "360c655a2ba1494ab4c465fc4cd62ffe50e2e6ae", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/taxes-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic", "translated_standalone_title": "Taxes", "translated_title": "Taxes", "gplus_url": "", "id": "x3fcefa26", "old_key_name": "33ldTBARUtthI9f-XTwey2j2aBeKDdWGvXZn_p8c", "hide": false, "title": "Taxes", "child_data": [{"kind": "Topic", "id": "x4ef9e935"}, {"kind": "Topic", "id": "x73a45a6f"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/taxes-topic/taxes", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes", "translated_standalone_title": "Taxes", "translated_title": "Personal taxes", "gplus_url": "", "id": "x4ef9e935", "old_key_name": "a0b1LTDqmoOM05vIFeeObYDOtKnFzYkdm8p_3xy7", "hide": false, "title": "Personal taxes", "child_data": [{"kind": "Video", "id": 195783498}, {"kind": "Video", "id": 60049935}, {"kind": "Video", "id": 95907354}, {"kind": "Video", "id": 60049936}, {"kind": "Video", "id": 109588140}, {"kind": "Video", "id": 184517737}, {"kind": "Video", "id": 1340481131}, {"kind": "Video", "id": "xa4dc2c7e"}, {"kind": "Video", "id": "x54474fe6"}, {"kind": "Video", "id": "x169b2cd0"}, {"kind": "Video", "id": "x32174f36"}], "children": [{"translated_youtube_id": "OGVJfcSckUs", "relative_url": "/video/basics-of-us-income-tax-rate-schedule", "has_questions": false, "keywords": "finance, education", "ka_url": "http://www.khanacademy.org/video/basics-of-us-income-tax-rate-schedule", "duration": 256, "translated_title": "Basics of US income tax rate schedule", "translated_description_html": "

Understanding that a marginal tax rate does not apply to all of income<\/p>", "id": "195783498", "description_html": "

Understanding that a marginal tax rate does not apply to all of income<\/p>", "title": "Basics of US income tax rate schedule", "progress_key": "v195783498", "edit_slug": "edit/v/195783498", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding that a marginal tax rate does not apply to all of income", "extra_properties": {}, "node_slug": "v/basics-of-us-income-tax-rate-schedule", "deleted": false, "backup_timestamp": "2013-09-27T22:28:41Z", "date_added": "2011-08-12T18:49:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OGVJfcSckUs.mp4/OGVJfcSckUs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OGVJfcSckUs.mp4/OGVJfcSckUs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OGVJfcSckUs.m3u8/OGVJfcSckUs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OGVJfcSckUs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v195783498", "sha": "51dc7b3cc13724c70facde31a189051c0752aa39", "translated_description": "Understanding that a marginal tax rate does not apply to all of income", "image_url": "https://img.youtube.com/vi/OGVJfcSckUs/hqdefault.jpg", "youtube_id": "OGVJfcSckUs", "content_kind": "Video", "readable_id": "basics-of-us-income-tax-rate-schedule"}, {"translated_youtube_id": "GypHy3gnG5E", "relative_url": "/video/tax-deductions-introduction", "has_questions": false, "keywords": "Tax, deduction, mortgage, interest", "ka_url": "http://www.khanacademy.org/video/tax-deductions-introduction", "duration": 210, "translated_title": "Tax deductions introduction", "translated_description_html": "Understanding what a tax deduction is", "id": "60049935", "description_html": "Understanding what a tax deduction is", "title": "Tax deductions introduction", "progress_key": "v60049935", "edit_slug": "edit/v/60049935", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding what a tax deduction is", "extra_properties": null, "node_slug": "v/tax-deductions-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GypHy3gnG5E.mp4/GypHy3gnG5E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GypHy3gnG5E.mp4/GypHy3gnG5E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GypHy3gnG5E.m3u8/GypHy3gnG5E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GypHy3gnG5E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60049935", "sha": "92c300238075f64b2ed1c039b584600f043371d6", "translated_description": "Understanding what a tax deduction is", "image_url": "https://img.youtube.com/vi/GypHy3gnG5E/hqdefault.jpg", "youtube_id": "GypHy3gnG5E", "content_kind": "Video", "readable_id": "tax-deductions-introduction"}, {"translated_youtube_id": "T0CwhLHrE2k", "relative_url": "/video/amt-overview", "has_questions": false, "keywords": "IRS, taxes", "ka_url": "http://www.khanacademy.org/video/amt-overview", "duration": 225, "translated_title": "AMT overview", "translated_description_html": "Overview of what the Alternative Minimum Tax is and its purpose", "id": "95907354", "description_html": "Overview of what the Alternative Minimum Tax is and its purpose", "title": "AMT overview", "progress_key": "v95907354", "edit_slug": "edit/v/95907354", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of what the Alternative Minimum Tax is and its purpose", "extra_properties": null, "node_slug": "v/amt-overview", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-26T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0CwhLHrE2k.mp4/T0CwhLHrE2k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0CwhLHrE2k.mp4/T0CwhLHrE2k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T0CwhLHrE2k.m3u8/T0CwhLHrE2k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T0CwhLHrE2k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v95907354", "sha": "6d8366782c947da28cbdaf6880c19c14d50a6b59", "translated_description": "Overview of what the Alternative Minimum Tax is and its purpose", "image_url": "https://img.youtube.com/vi/T0CwhLHrE2k/hqdefault.jpg", "youtube_id": "T0CwhLHrE2k", "content_kind": "Video", "readable_id": "amt-overview"}, {"translated_youtube_id": "yrlLKwmb5dY", "relative_url": "/video/alternative-minimum-tax", "has_questions": false, "keywords": "us, taxes, amt", "ka_url": "http://www.khanacademy.org/video/alternative-minimum-tax", "duration": 235, "translated_title": "Alternative minimum tax", "translated_description_html": "The basics of the alternative minimum tax", "id": "60049936", "description_html": "The basics of the alternative minimum tax", "title": "Alternative minimum tax", "progress_key": "v60049936", "edit_slug": "edit/v/60049936", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The basics of the alternative minimum tax", "extra_properties": null, "node_slug": "v/alternative-minimum-tax", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-14T00:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yrlLKwmb5dY.mp4/yrlLKwmb5dY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yrlLKwmb5dY.mp4/yrlLKwmb5dY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yrlLKwmb5dY.m3u8/yrlLKwmb5dY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yrlLKwmb5dY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60049936", "sha": "028be2e1fb81b05d7ab4963a4dcdf6586eed7d26", "translated_description": "The basics of the alternative minimum tax", "image_url": "https://img.youtube.com/vi/yrlLKwmb5dY/hqdefault.jpg", "youtube_id": "yrlLKwmb5dY", "content_kind": "Video", "readable_id": "alternative-minimum-tax"}, {"translated_youtube_id": "eElHlE4j-vw", "relative_url": "/video/estate-tax-introduction", "has_questions": false, "keywords": "inheritance, death, tax", "ka_url": "http://www.khanacademy.org/video/estate-tax-introduction", "duration": 646, "translated_title": "Estate tax introduction", "translated_description_html": "Overview of the estate tax", "id": "109588140", "description_html": "Overview of the estate tax", "title": "Estate tax introduction", "progress_key": "v109588140", "edit_slug": "edit/v/109588140", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of the estate tax", "extra_properties": null, "node_slug": "v/estate-tax-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-06-07T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eElHlE4j-vw.mp4/eElHlE4j-vw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eElHlE4j-vw.mp4/eElHlE4j-vw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eElHlE4j-vw.m3u8/eElHlE4j-vw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eElHlE4j-vw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588140", "sha": "931188fc6f65788d936cb819bb433712e1fbb43a", "translated_description": "Overview of the estate tax", "image_url": "https://img.youtube.com/vi/eElHlE4j-vw/hqdefault.jpg", "youtube_id": "eElHlE4j-vw", "content_kind": "Video", "readable_id": "estate-tax-introduction"}, {"translated_youtube_id": "bIgFmeHQvL0", "relative_url": "/video/estate-tax-basics", "has_questions": false, "keywords": "estate, tax, inheritance, death", "ka_url": "http://www.khanacademy.org/video/estate-tax-basics", "duration": 330, "translated_title": "Estate tax basics", "translated_description_html": "

Overview of the inheritance tax<\/p>", "id": "184517737", "description_html": "

Overview of the inheritance tax<\/p>", "title": "Estate tax basics", "progress_key": "v184517737", "edit_slug": "edit/v/184517737", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the inheritance tax", "extra_properties": {}, "node_slug": "v/estate-tax-basics", "deleted": false, "backup_timestamp": "2013-09-27T22:28:41Z", "date_added": "2011-08-02T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bIgFmeHQvL0.mp4/bIgFmeHQvL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bIgFmeHQvL0.mp4/bIgFmeHQvL0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bIgFmeHQvL0.m3u8/bIgFmeHQvL0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bIgFmeHQvL0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v184517737", "sha": "4cfb798c1f0c434045cbd9a9a651e679978be4b8", "translated_description": "Overview of the inheritance tax", "image_url": "https://img.youtube.com/vi/bIgFmeHQvL0/hqdefault.jpg", "youtube_id": "bIgFmeHQvL0", "content_kind": "Video", "readable_id": "estate-tax-basics"}, {"translated_youtube_id": "AhgR3X--bbY", "relative_url": "/video/tax-brackets-and-progressive-taxation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tax-brackets-and-progressive-taxation", "duration": 255, "translated_title": "Tax brackets and progressive taxation", "translated_description_html": "", "id": "1340481131", "description_html": "", "title": "Tax brackets and progressive taxation", "progress_key": "v1340481131", "edit_slug": "edit/v/1340481131", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/tax-brackets-and-progressive-taxation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-01T00:39:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AhgR3X--bbY.mp4/AhgR3X--bbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AhgR3X--bbY.mp4/AhgR3X--bbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AhgR3X--bbY.m3u8/AhgR3X--bbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AhgR3X--bbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1340481131", "sha": "1ca402a1f2b8bdd9e9cf10c2fbd8fffeefc69e82", "translated_description": "", "image_url": "https://img.youtube.com/vi/AhgR3X--bbY/hqdefault.jpg", "youtube_id": "AhgR3X--bbY", "content_kind": "Video", "readable_id": "tax-brackets-and-progressive-taxation"}, {"translated_youtube_id": "DtCfOMl3qo0", "relative_url": "/video/calculating-federal-taxes-and-take-home-pay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-federal-taxes-and-take-home-pay", "duration": 396, "translated_title": "Calculating federal taxes and take home pay", "translated_description_html": "", "id": "xa4dc2c7e", "description_html": "", "title": "Calculating federal taxes and take home pay", "progress_key": "vxa4dc2c7e", "edit_slug": "edit/v/xa4dc2c7e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/calculating-federal-taxes-and-take-home-pay", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-15T23:08:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DtCfOMl3qo0.mp4/DtCfOMl3qo0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DtCfOMl3qo0.mp4/DtCfOMl3qo0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DtCfOMl3qo0.m3u8/DtCfOMl3qo0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DtCfOMl3qo0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa4dc2c7e", "sha": "1a5f4efcc9b7437122b6411207b704dcf22f59c8", "translated_description": "", "image_url": "https://img.youtube.com/vi/DtCfOMl3qo0/hqdefault.jpg", "youtube_id": "DtCfOMl3qo0", "content_kind": "Video", "readable_id": "calculating-federal-taxes-and-take-home-pay"}, {"translated_youtube_id": "iIBQm3me8cs", "relative_url": "/video/calculating-state-taxes-and-take-home-pay", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/calculating-state-taxes-and-take-home-pay", "duration": 390, "translated_title": "Calculating state taxes and take home pay", "translated_description_html": "", "id": "x54474fe6", "description_html": "", "title": "Calculating state taxes and take home pay", "progress_key": "vx54474fe6", "edit_slug": "edit/v/x54474fe6", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/calculating-state-taxes-and-take-home-pay", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-15T23:09:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iIBQm3me8cs.mp4/iIBQm3me8cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iIBQm3me8cs.mp4/iIBQm3me8cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iIBQm3me8cs.m3u8/iIBQm3me8cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iIBQm3me8cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx54474fe6", "sha": "d8665a9ffc8e4ba0e6f8627bf4117ba02a78d0c5", "translated_description": "", "image_url": "https://img.youtube.com/vi/iIBQm3me8cs/hqdefault.jpg", "youtube_id": "iIBQm3me8cs", "content_kind": "Video", "readable_id": "calculating-state-taxes-and-take-home-pay"}, {"translated_youtube_id": "SX_DzTb95mM", "relative_url": "/video/marriage-penalty", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/marriage-penalty", "duration": 605, "translated_title": "Marriage penalty", "translated_description_html": "", "id": "x169b2cd0", "description_html": "", "title": "Marriage penalty", "progress_key": "vx169b2cd0", "edit_slug": "edit/v/x169b2cd0", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/marriage-penalty", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-03-15T23:09:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SX_DzTb95mM.mp4/SX_DzTb95mM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SX_DzTb95mM.mp4/SX_DzTb95mM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SX_DzTb95mM.m3u8/SX_DzTb95mM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SX_DzTb95mM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx169b2cd0", "sha": "1aec853cb8b86a8405ce20def20ea352fb57b5a8", "translated_description": "", "image_url": "https://img.youtube.com/vi/SX_DzTb95mM/hqdefault.jpg", "youtube_id": "SX_DzTb95mM", "content_kind": "Video", "readable_id": "marriage-penalty"}, {"translated_youtube_id": "MR9CrsF3D00", "relative_url": "/video/married-taxes-clarification", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/married-taxes-clarification", "duration": 220, "translated_title": "Married taxes clarification", "translated_description_html": "", "id": "x32174f36", "description_html": "", "title": "Married taxes clarification", "progress_key": "vx32174f36", "edit_slug": "edit/v/x32174f36", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/married-taxes-clarification", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-15T23:10:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MR9CrsF3D00.mp4/MR9CrsF3D00.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MR9CrsF3D00.mp4/MR9CrsF3D00.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MR9CrsF3D00.m3u8/MR9CrsF3D00.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MR9CrsF3D00&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx32174f36", "sha": "93fed006a6f23c46860c5706d14a255e6b9e1c5c", "translated_description": "", "image_url": "https://img.youtube.com/vi/MR9CrsF3D00/hqdefault.jpg", "youtube_id": "MR9CrsF3D00", "content_kind": "Video", "readable_id": "married-taxes-clarification"}], "twitter_url": "", "translated_description": "Benjamin Franklin (and several other writers/philosophers) tells us that \"In this world nothing can be said to be certain, except death and taxes.\" He's right. \n\nThis tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Benjamin Franklin (and several other writers/philosophers) tells us that \"In this world nothing can be said to be certain, except death and taxes.\" He's right. \n\nThis tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself).", "x_pos": 0.0, "node_slug": "taxes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4ef9e935", "topic_page_url": "/economics-finance-domain/core-finance/taxes-topic/taxes", "extended_slug": "economics-finance-domain/core-finance/taxes-topic/taxes", "slug": "taxes", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a2fea3632b3815626360c073d32aaf8943251920", "standalone_title": "Taxes", "y_pos": 0.0, "current_revision_key": "a2fea3632b3815626360c073d32aaf8943251920", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/taxes-topic/corporate-taxation", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation", "translated_standalone_title": "Corporate structure and taxation", "translated_title": "Corporate taxation", "gplus_url": "", "id": "x73a45a6f", "old_key_name": "ZNQU55X4soP7mtMVT-1Z6f8jv_ACYWpKvEN9GQZx", "hide": false, "title": "Corporate taxation", "child_data": [{"kind": "Video", "id": 65171991}, {"kind": "Video", "id": 65171992}, {"kind": "Video", "id": 1090948774}], "children": [{"translated_youtube_id": "VnTlKcIigyY", "relative_url": "/video/corporations-and-limited-liability", "has_questions": false, "keywords": "limited, liability, corporations", "ka_url": "http://www.khanacademy.org/video/corporations-and-limited-liability", "duration": 598, "translated_title": "Corporations and limited liability", "translated_description_html": "Why people set up corporations", "id": "65171991", "description_html": "Why people set up corporations", "title": "Corporations and limited liability", "progress_key": "v65171991", "edit_slug": "edit/v/65171991", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why people set up corporations", "extra_properties": null, "node_slug": "v/corporations-and-limited-liability", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VnTlKcIigyY.mp4/VnTlKcIigyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VnTlKcIigyY.mp4/VnTlKcIigyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VnTlKcIigyY.m3u8/VnTlKcIigyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VnTlKcIigyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171991", "sha": "35aae2bf1417835af0d4e7b50083d1d77e97e3ab", "translated_description": "Why people set up corporations", "image_url": "https://img.youtube.com/vi/VnTlKcIigyY/hqdefault.jpg", "youtube_id": "VnTlKcIigyY", "content_kind": "Video", "readable_id": "corporations-and-limited-liability"}, {"translated_youtube_id": "IiKKAw38ss0", "relative_url": "/video/is-limited-liability-or-double-taxation-fair", "has_questions": false, "keywords": "corporation, LLC, taxes", "ka_url": "http://www.khanacademy.org/video/is-limited-liability-or-double-taxation-fair", "duration": 618, "translated_title": "Is limited liability or double taxation fair?", "translated_description_html": "

Thinking about whether limited liability or double taxation is fair<\/p>", "id": "65171992", "description_html": "

Thinking about whether limited liability or double taxation is fair<\/p>", "title": "Is limited liability or double taxation fair?", "progress_key": "v65171992", "edit_slug": "edit/v/65171992", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about whether limited liability or double taxation is fair", "extra_properties": {}, "node_slug": "v/is-limited-liability-or-double-taxation-fair", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IiKKAw38ss0.mp4/IiKKAw38ss0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IiKKAw38ss0.mp4/IiKKAw38ss0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IiKKAw38ss0.m3u8/IiKKAw38ss0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IiKKAw38ss0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171992", "sha": "ebe1d9d407773fd713c744e912678742b09572e0", "translated_description": "Thinking about whether limited liability or double taxation is fair", "image_url": "https://img.youtube.com/vi/IiKKAw38ss0/hqdefault.jpg", "youtube_id": "IiKKAw38ss0", "content_kind": "Video", "readable_id": "is-limited-liability-or-double-taxation-fair"}, {"translated_youtube_id": "TLSYwkWCIzA", "relative_url": "/video/transfer-pricing-and-tax-havens", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/transfer-pricing-and-tax-havens", "duration": 407, "translated_title": "Transfer pricing and tax havens", "translated_description_html": "How a corporation can set up a tax haven and use it through transfer pricing.", "id": "1090948774", "description_html": "How a corporation can set up a tax haven and use it through transfer pricing.", "title": "Transfer pricing and tax havens", "progress_key": "v1090948774", "edit_slug": "edit/v/1090948774", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How a corporation can set up a tax haven and use it through transfer pricing.", "extra_properties": null, "node_slug": "v/transfer-pricing-and-tax-havens", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-17T00:08:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.m3u8/TLSYwkWCIzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TLSYwkWCIzA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1090948774", "sha": "7a0e9417cb6b79d9c7f4ef29f548b923e3ee1f07", "translated_description": "How a corporation can set up a tax haven and use it through transfer pricing.", "image_url": "https://img.youtube.com/vi/TLSYwkWCIzA/hqdefault.jpg", "youtube_id": "TLSYwkWCIzA", "content_kind": "Video", "readable_id": "transfer-pricing-and-tax-havens"}], "twitter_url": "", "translated_description": "In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, \"double taxation\" and a few ways that multinationals might try to get out of paying taxes.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, \"double taxation\" and a few ways that multinationals might try to get out of paying taxes.", "x_pos": 0.0, "node_slug": "corporate-taxation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax73a45a6f", "topic_page_url": "/economics-finance-domain/core-finance/taxes-topic/corporate-taxation", "extended_slug": "economics-finance-domain/core-finance/taxes-topic/corporate-taxation", "slug": "corporate-taxation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5cfd7ff292aca19cb88fd302e05f7009a69b1b7b", "standalone_title": "Corporate structure and taxation", "y_pos": 0.0, "current_revision_key": "5cfd7ff292aca19cb88fd302e05f7009a69b1b7b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "taxes-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3fcefa26", "topic_page_url": "/economics-finance-domain/core-finance/taxes-topic", "extended_slug": "economics-finance-domain/core-finance/taxes-topic", "slug": "taxes-topic", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2934e8408c3f001402ec5490fa216c58f73b4dac", "standalone_title": "Taxes", "y_pos": 0.0, "current_revision_key": "2934e8408c3f001402ec5490fa216c58f73b4dac", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme", "translated_standalone_title": "Accounting and financial statements", "translated_title": "Accounting and financial statements", "gplus_url": "", "id": "xc788cc9a", "old_key_name": "hPLH5c8bm9yvVCvS2gNBjlXSutq5WSyPnSy0XKSH", "hide": false, "title": "Accounting and financial statements", "child_data": [{"kind": "Topic", "id": "x1b08d01e"}, {"kind": "Topic", "id": "x539171a1"}, {"kind": "Topic", "id": "x2804ca12"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting", "translated_standalone_title": "Cash versus accrual accounting", "translated_title": "Cash versus accrual accounting", "gplus_url": "", "id": "x1b08d01e", "old_key_name": "O9R5-lKu2ky3KZRrAlF3bQrLyuXtRgEt-uZ9monI", "hide": false, "title": "Cash versus accrual accounting", "child_data": [{"kind": "Video", "id": 47066539}, {"kind": "Video", "id": 47066540}, {"kind": "Video", "id": 47066541}], "children": [{"translated_youtube_id": "FfdpupKByiU", "relative_url": "/video/cash-accounting", "has_questions": false, "keywords": "cash, accounting, accrual", "ka_url": "http://www.khanacademy.org/video/cash-accounting", "duration": 239, "translated_title": "Cash accounting", "translated_description_html": "Simple example of cash accounting", "id": "47066539", "description_html": "Simple example of cash accounting", "title": "Cash accounting", "progress_key": "v47066539", "edit_slug": "edit/v/47066539", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple example of cash accounting", "extra_properties": null, "node_slug": "v/cash-accounting", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FfdpupKByiU.mp4/FfdpupKByiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FfdpupKByiU.mp4/FfdpupKByiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FfdpupKByiU.m3u8/FfdpupKByiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FfdpupKByiU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066539", "sha": "b0a1a5412f187b16a43559f725604541d9e9f4d0", "translated_description": "Simple example of cash accounting", "image_url": "https://img.youtube.com/vi/FfdpupKByiU/hqdefault.jpg", "youtube_id": "FfdpupKByiU", "content_kind": "Video", "readable_id": "cash-accounting"}, {"translated_youtube_id": "NNhyZFHAzaA", "relative_url": "/video/accrual-basis-of-accounting", "has_questions": false, "keywords": "accrual, deferred, revenue, receivables", "ka_url": "http://www.khanacademy.org/video/accrual-basis-of-accounting", "duration": 291, "translated_title": "Accrual basis of accounting", "translated_description_html": "Simple example of accrual accounting", "id": "47066540", "description_html": "Simple example of accrual accounting", "title": "Accrual basis of accounting", "progress_key": "v47066540", "edit_slug": "edit/v/47066540", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple example of accrual accounting", "extra_properties": null, "node_slug": "v/accrual-basis-of-accounting", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NNhyZFHAzaA.mp4/NNhyZFHAzaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NNhyZFHAzaA.mp4/NNhyZFHAzaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NNhyZFHAzaA.m3u8/NNhyZFHAzaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NNhyZFHAzaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066540", "sha": "912e43006fb9d8d7e431197a98318692277ef75d", "translated_description": "Simple example of accrual accounting", "image_url": "https://img.youtube.com/vi/NNhyZFHAzaA/hqdefault.jpg", "youtube_id": "NNhyZFHAzaA", "content_kind": "Video", "readable_id": "accrual-basis-of-accounting"}, {"translated_youtube_id": "LU_6amWC6H8", "relative_url": "/video/comparing-accrual-and-cash-accounting", "has_questions": false, "keywords": "accrual, cash, accounting", "ka_url": "http://www.khanacademy.org/video/comparing-accrual-and-cash-accounting", "duration": 241, "translated_title": "Comparing accrual and cash accounting", "translated_description_html": "Comparing Accrual and Cash Accounting", "id": "47066541", "description_html": "Comparing Accrual and Cash Accounting", "title": "Comparing accrual and cash accounting", "progress_key": "v47066541", "edit_slug": "edit/v/47066541", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing Accrual and Cash Accounting", "extra_properties": null, "node_slug": "v/comparing-accrual-and-cash-accounting", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LU_6amWC6H8.mp4/LU_6amWC6H8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LU_6amWC6H8.mp4/LU_6amWC6H8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LU_6amWC6H8.m3u8/LU_6amWC6H8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LU_6amWC6H8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066541", "sha": "7904914f03b8c2be9c477d9cdb4e55b3f99d783a", "translated_description": "Comparing Accrual and Cash Accounting", "image_url": "https://img.youtube.com/vi/LU_6amWC6H8/hqdefault.jpg", "youtube_id": "LU_6amWC6H8", "content_kind": "Video", "readable_id": "comparing-accrual-and-cash-accounting"}], "twitter_url": "", "translated_description": "Just keeping track of cash that goes in and out of a business doesn't always reflect what's going on. This tutorial compares cash and accrual accounting. Very valuable if you ever plan on starting or investing in any type of business (you might also discover a nascent passion for accounting)!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Just keeping track of cash that goes in and out of a business doesn't always reflect what's going on. This tutorial compares cash and accrual accounting. Very valuable if you ever plan on starting or investing in any type of business (you might also discover a nascent passion for accounting)!", "x_pos": 0.0, "node_slug": "cash-accrual-accounting", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1b08d01e", "topic_page_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting", "extended_slug": "economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting", "slug": "cash-accrual-accounting", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8d131f581b9880669ad0f0523e91bb4ecad2c0dd", "standalone_title": "Cash versus accrual accounting", "y_pos": 0.0, "current_revision_key": "8d131f581b9880669ad0f0523e91bb4ecad2c0dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial", "translated_standalone_title": "Three core financial statements", "translated_title": "Three core financial statements", "gplus_url": "", "id": "x539171a1", "old_key_name": "g5aO-qUCYU2zGfozZ74xC_9Icm38iA0-ZDOINbvg", "hide": false, "title": "Three core financial statements", "child_data": [{"kind": "Video", "id": 47066542}, {"kind": "Video", "id": 47066543}, {"kind": "Video", "id": 47066544}, {"kind": "Video", "id": 60049933}], "children": [{"translated_youtube_id": "hZvjH3Az87A", "relative_url": "/video/balance-sheet-and-income-statement-relationship", "has_questions": false, "keywords": "Balance, Sheet, and, Income, Statement, Relationship", "ka_url": "http://www.khanacademy.org/video/balance-sheet-and-income-statement-relationship", "duration": 220, "translated_title": "Balance sheet and income statement relationship", "translated_description_html": "Balance Sheet and Income Statement Relationship", "id": "47066542", "description_html": "Balance Sheet and Income Statement Relationship", "title": "Balance sheet and income statement relationship", "progress_key": "v47066542", "edit_slug": "edit/v/47066542", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Balance Sheet and Income Statement Relationship", "extra_properties": null, "node_slug": "v/balance-sheet-and-income-statement-relationship", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hZvjH3Az87A.mp4/hZvjH3Az87A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hZvjH3Az87A.mp4/hZvjH3Az87A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hZvjH3Az87A.m3u8/hZvjH3Az87A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hZvjH3Az87A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066542", "sha": "1039091e5eb37f6342fc83fda1038a6ce3a14269", "translated_description": "Balance Sheet and Income Statement Relationship", "image_url": "https://img.youtube.com/vi/hZvjH3Az87A/hqdefault.jpg", "youtube_id": "hZvjH3Az87A", "content_kind": "Video", "readable_id": "balance-sheet-and-income-statement-relationship"}, {"translated_youtube_id": "Mioqyv_IW3E", "relative_url": "/video/basic-cash-flow-statement", "has_questions": false, "keywords": "cash, flow, cashflow, income, statement, balance, sheet, financial, accounting", "ka_url": "http://www.khanacademy.org/video/basic-cash-flow-statement", "duration": 224, "translated_title": "Basic cash flow statement", "translated_description_html": "Using a cash flow statement to reconcile net income with change in cash", "id": "47066543", "description_html": "Using a cash flow statement to reconcile net income with change in cash", "title": "Basic cash flow statement", "progress_key": "v47066543", "edit_slug": "edit/v/47066543", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using a cash flow statement to reconcile net income with change in cash", "extra_properties": null, "node_slug": "v/basic-cash-flow-statement", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mioqyv_IW3E.mp4/Mioqyv_IW3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mioqyv_IW3E.mp4/Mioqyv_IW3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mioqyv_IW3E.m3u8/Mioqyv_IW3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mioqyv_IW3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066543", "sha": "2c5e2df3973b86628b66d280502b482182256abb", "translated_description": "Using a cash flow statement to reconcile net income with change in cash", "image_url": "https://img.youtube.com/vi/Mioqyv_IW3E/hqdefault.jpg", "youtube_id": "Mioqyv_IW3E", "content_kind": "Video", "readable_id": "basic-cash-flow-statement"}, {"translated_youtube_id": "57gz50uTPqM", "relative_url": "/video/doing-the-example-with-accounts-payable-growing", "has_questions": false, "keywords": "accounts, payable, receivable, working, capital", "ka_url": "http://www.khanacademy.org/video/doing-the-example-with-accounts-payable-growing", "duration": 245, "translated_title": "Doing the example with accounts payable growing", "translated_description_html": "Introduction to Accounts Payable", "id": "47066544", "description_html": "Introduction to Accounts Payable", "title": "Doing the example with accounts payable growing", "progress_key": "v47066544", "edit_slug": "edit/v/47066544", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Accounts Payable", "extra_properties": null, "node_slug": "v/doing-the-example-with-accounts-payable-growing", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/57gz50uTPqM.mp4/57gz50uTPqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/57gz50uTPqM.mp4/57gz50uTPqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/57gz50uTPqM.m3u8/57gz50uTPqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=57gz50uTPqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066544", "sha": "2d6ec648d735f10f1253db1cc320054e536fc6c8", "translated_description": "Introduction to Accounts Payable", "image_url": "https://img.youtube.com/vi/57gz50uTPqM/hqdefault.jpg", "youtube_id": "57gz50uTPqM", "content_kind": "Video", "readable_id": "doing-the-example-with-accounts-payable-growing"}, {"translated_youtube_id": "s-5_H3z-Cv0", "relative_url": "/video/fair-value-accounting", "has_questions": false, "keywords": "Fair, Value, Historical, Cost, Accounting, mark, to, market", "ka_url": "http://www.khanacademy.org/video/fair-value-accounting", "duration": 177, "translated_title": "Fair value accounting", "translated_description_html": "Difference between Historical Cost and Fair Value Accounting", "id": "60049933", "description_html": "Difference between Historical Cost and Fair Value Accounting", "title": "Fair value accounting", "progress_key": "v60049933", "edit_slug": "edit/v/60049933", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Difference between Historical Cost and Fair Value Accounting", "extra_properties": null, "node_slug": "v/fair-value-accounting", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-14T00:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/s-5_H3z-Cv0.mp4/s-5_H3z-Cv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s-5_H3z-Cv0.mp4/s-5_H3z-Cv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s-5_H3z-Cv0.m3u8/s-5_H3z-Cv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=s-5_H3z-Cv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60049933", "sha": "481bf44eb1a756d95eeb85cb9174040c86e8deea", "translated_description": "Difference between Historical Cost and Fair Value Accounting", "image_url": "https://img.youtube.com/vi/s-5_H3z-Cv0/hqdefault.jpg", "youtube_id": "s-5_H3z-Cv0", "content_kind": "Video", "readable_id": "fair-value-accounting"}], "twitter_url": "", "translated_description": "Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. \n\nAfter you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. \n\nAfter you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business.", "x_pos": 0.0, "node_slug": "financial-statements-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax539171a1", "topic_page_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial", "extended_slug": "economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial", "slug": "financial-statements-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a270cb7f12ffc3161224a2843d6fe7ef077248c6", "standalone_title": "Three core financial statements", "y_pos": 0.0, "current_revision_key": "a270cb7f12ffc3161224a2843d6fe7ef077248c6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut", "translated_standalone_title": "Depreciation and amortization", "translated_title": "Depreciation and amortization", "gplus_url": "", "id": "x2804ca12", "old_key_name": "d2xE1oFZAciaZQ5u2FPkwvaAfpUGCdig_FCHvfo5", "hide": false, "title": "Depreciation and amortization", "child_data": [{"kind": "Video", "id": 49718014}, {"kind": "Video", "id": 49718015}, {"kind": "Video", "id": 49718016}, {"kind": "Video", "id": 49718017}], "children": [{"translated_youtube_id": "0E3PuHiDU9U", "relative_url": "/video/expensing-a-truck-leads-to-inconsistent-performance", "has_questions": false, "keywords": "capital, expense, depreciation", "ka_url": "http://www.khanacademy.org/video/expensing-a-truck-leads-to-inconsistent-performance", "duration": 212, "translated_title": "Expensing a truck leads to inconsistent performance", "translated_description_html": "Expensing a truck leads to strange looking income statement", "id": "49718014", "description_html": "Expensing a truck leads to strange looking income statement", "title": "Expensing a truck leads to inconsistent performance", "progress_key": "v49718014", "edit_slug": "edit/v/49718014", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Expensing a truck leads to strange looking income statement", "extra_properties": null, "node_slug": "v/expensing-a-truck-leads-to-inconsistent-performance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0E3PuHiDU9U.mp4/0E3PuHiDU9U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0E3PuHiDU9U.mp4/0E3PuHiDU9U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0E3PuHiDU9U.m3u8/0E3PuHiDU9U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0E3PuHiDU9U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718014", "sha": "fcc121da1e4f15e2ef0850903d3e03182fa2b267", "translated_description": "Expensing a truck leads to strange looking income statement", "image_url": "https://img.youtube.com/vi/0E3PuHiDU9U/hqdefault.jpg", "youtube_id": "0E3PuHiDU9U", "content_kind": "Video", "readable_id": "expensing-a-truck-leads-to-inconsistent-performance"}, {"translated_youtube_id": "iewvEGWARBY", "relative_url": "/video/depreciating-the-truck", "has_questions": false, "keywords": "depreciation, amortization, capital, expenditures", "ka_url": "http://www.khanacademy.org/video/depreciating-the-truck", "duration": 229, "translated_title": "Depreciating the truck", "translated_description_html": "Depreciation the truck spreads out the expense", "id": "49718015", "description_html": "Depreciation the truck spreads out the expense", "title": "Depreciating the truck", "progress_key": "v49718015", "edit_slug": "edit/v/49718015", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Depreciation the truck spreads out the expense", "extra_properties": null, "node_slug": "v/depreciating-the-truck", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iewvEGWARBY.mp4/iewvEGWARBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iewvEGWARBY.mp4/iewvEGWARBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iewvEGWARBY.m3u8/iewvEGWARBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iewvEGWARBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718015", "sha": "2105ba7fad7f4e954aeb9ce1881188e1949465df", "translated_description": "Depreciation the truck spreads out the expense", "image_url": "https://img.youtube.com/vi/iewvEGWARBY/hqdefault.jpg", "youtube_id": "iewvEGWARBY", "content_kind": "Video", "readable_id": "depreciating-the-truck"}, {"translated_youtube_id": "uX2w0b8Qlss", "relative_url": "/video/depreciation-in-cash-flow", "has_questions": false, "keywords": "Depreciation, in, Cash, Flow", "ka_url": "http://www.khanacademy.org/video/depreciation-in-cash-flow", "duration": 241, "translated_title": "Depreciation in cash flow", "translated_description_html": "Depreciation in Cash Flow", "id": "49718016", "description_html": "Depreciation in Cash Flow", "title": "Depreciation in cash flow", "progress_key": "v49718016", "edit_slug": "edit/v/49718016", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Depreciation in Cash Flow", "extra_properties": null, "node_slug": "v/depreciation-in-cash-flow", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uX2w0b8Qlss.mp4/uX2w0b8Qlss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uX2w0b8Qlss.mp4/uX2w0b8Qlss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uX2w0b8Qlss.m3u8/uX2w0b8Qlss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uX2w0b8Qlss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718016", "sha": "dd8872782aae670390339956779c1eff37d3be4d", "translated_description": "Depreciation in Cash Flow", "image_url": "https://img.youtube.com/vi/uX2w0b8Qlss/hqdefault.jpg", "youtube_id": "uX2w0b8Qlss", "content_kind": "Video", "readable_id": "depreciation-in-cash-flow"}, {"translated_youtube_id": "eKw3Aq0vvbo", "relative_url": "/video/amortization-and-depreciation", "has_questions": false, "keywords": "Depreciation, and, Amortization", "ka_url": "http://www.khanacademy.org/video/amortization-and-depreciation", "duration": 228, "translated_title": "Amortization and depreciation", "translated_description_html": "Comparing depreciation and amortization", "id": "49718017", "description_html": "Comparing depreciation and amortization", "title": "Amortization and depreciation", "progress_key": "v49718017", "edit_slug": "edit/v/49718017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing depreciation and amortization", "extra_properties": null, "node_slug": "v/amortization-and-depreciation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eKw3Aq0vvbo.mp4/eKw3Aq0vvbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eKw3Aq0vvbo.mp4/eKw3Aq0vvbo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eKw3Aq0vvbo.m3u8/eKw3Aq0vvbo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eKw3Aq0vvbo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718017", "sha": "e7b54e032933e55fa15a1f3bc12cfc0a0b6f8dfc", "translated_description": "Comparing depreciation and amortization", "image_url": "https://img.youtube.com/vi/eKw3Aq0vvbo/hqdefault.jpg", "youtube_id": "eKw3Aq0vvbo", "content_kind": "Video", "readable_id": "amortization-and-depreciation"}], "twitter_url": "", "translated_description": "How do you account for things that get \"used up\" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How do you account for things that get \"used up\" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable.", "x_pos": 0.0, "node_slug": "depreciation-amortization-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2804ca12", "topic_page_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut", "extended_slug": "economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut", "slug": "depreciation-amortization-tut", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "043181ba3b46c493be87880aac1925b50966e4ba", "standalone_title": "Depreciation and amortization", "y_pos": 0.0, "current_revision_key": "043181ba3b46c493be87880aac1925b50966e4ba", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "accounting-and-financial-stateme", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc788cc9a", "topic_page_url": "/economics-finance-domain/core-finance/accounting-and-financial-stateme", "extended_slug": "economics-finance-domain/core-finance/accounting-and-financial-stateme", "slug": "accounting-and-financial-stateme", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b0c6e3522febe700c659a36bfbee2d5763df0599", "standalone_title": "Accounting and financial statements", "y_pos": 0.0, "current_revision_key": "b0c6e3522febe700c659a36bfbee2d5763df0599", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds", "translated_standalone_title": "Stock basics", "translated_title": "Stocks and bonds", "gplus_url": "", "id": "xf81b84d6", "old_key_name": "6-XIAXFsdJ9mumxB7dz0SZnZitodUYF7Y6euz_6u", "hide": false, "title": "Stocks and bonds", "child_data": [{"kind": "Topic", "id": "x333fd427"}, {"kind": "Topic", "id": "x6b721b34"}, {"kind": "Topic", "id": "x055d3c26"}, {"kind": "Topic", "id": "x0876d86e"}, {"kind": "Topic", "id": "x6ceac502"}, {"kind": "Topic", "id": "x90b4722a"}, {"kind": "Topic", "id": "x979e76ac"}, {"kind": "Topic", "id": "x71c2d102"}, {"kind": "Topic", "id": "xb414631e"}, {"kind": "Topic", "id": "x3ad0a080"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial", "translated_standalone_title": "Introduction to stocks", "translated_title": "Introduction to stocks", "gplus_url": "", "id": "x333fd427", "old_key_name": "8WV7-Qdpp9xlaqXQuCkTXNXvnIS8Xli6d-TwO7YO", "hide": false, "title": "Introduction to stocks", "child_data": [{"kind": "Video", "id": 1536320}, {"kind": "Video", "id": 24836}], "children": [{"translated_youtube_id": "98qfFzqDKR8", "relative_url": "/video/what-it-means-to-buy-a-company-s-stock", "has_questions": false, "keywords": "stock, shares, investment, personal, finance", "ka_url": "http://www.khanacademy.org/video/what-it-means-to-buy-a-company-s-stock", "duration": 845, "translated_title": "What it means to buy a company's stock", "translated_description_html": "

What it means to buy a company's stock<\/p>", "id": "1536320", "description_html": "

What it means to buy a company's stock<\/p>", "title": "What it means to buy a company's stock", "progress_key": "v1536320", "edit_slug": "edit/v/1536320", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What it means to buy a company's stock", "extra_properties": {}, "node_slug": "v/what-it-means-to-buy-a-company-s-stock", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/98qfFzqDKR8.mp4/98qfFzqDKR8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/98qfFzqDKR8.mp4/98qfFzqDKR8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/98qfFzqDKR8.m3u8/98qfFzqDKR8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=98qfFzqDKR8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1536320", "sha": "b1aa79dfe2b97efde6bf91092a4424ff514eb38c", "translated_description": "What it means to buy a company's stock", "image_url": "https://img.youtube.com/vi/98qfFzqDKR8/hqdefault.jpg", "youtube_id": "98qfFzqDKR8", "content_kind": "Video", "readable_id": "what-it-means-to-buy-a-company-s-stock"}, {"translated_youtube_id": "rs1md3e4aYU", "relative_url": "/video/bonds-vs--stocks", "has_questions": false, "keywords": "stocks, bonds, equity, debt", "ka_url": "http://www.khanacademy.org/video/bonds-vs--stocks", "duration": 561, "translated_title": "Bonds vs. stocks", "translated_description_html": "The difference between a bond and a stock.", "id": "24836", "description_html": "The difference between a bond and a stock.", "title": "Bonds vs. stocks", "progress_key": "v24836", "edit_slug": "edit/v/24836", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between a bond and a stock.", "extra_properties": null, "node_slug": "v/bonds-vs--stocks", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.mp4/rs1md3e4aYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.mp4/rs1md3e4aYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.m3u8/rs1md3e4aYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rs1md3e4aYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24836", "sha": "3281314105db19095726fcb526a523f5e046806f", "translated_description": "The difference between a bond and a stock.", "image_url": "https://img.youtube.com/vi/rs1md3e4aYU/hqdefault.jpg", "youtube_id": "rs1md3e4aYU", "content_kind": "Video", "readable_id": "bonds-vs--stocks"}], "twitter_url": "", "translated_description": "Many people own stocks, but, unfortunately, most of them don't really understand what they own. This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Many people own stocks, but, unfortunately, most of them don't really understand what they own. This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments).", "x_pos": 0.0, "node_slug": "stocks-intro-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax333fd427", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial", "slug": "stocks-intro-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "508a6c1afa1a11d38efcdb6958bd173835302ab7", "standalone_title": "Introduction to stocks", "y_pos": 0.0, "current_revision_key": "508a6c1afa1a11d38efcdb6958bd173835302ab7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock", "translated_standalone_title": "Shorting stock", "translated_title": "Shorting stock", "gplus_url": "", "id": "x6b721b34", "old_key_name": "TQntnX1KQcVjuqLLaexPQmEjm2fhDlwId4A01PPO", "hide": false, "title": "Shorting stock", "child_data": [{"kind": "Video", "id": 33794225}, {"kind": "Video", "id": 4802239}, {"kind": "Video", "id": 4802240}, {"kind": "Video", "id": 4802241}], "children": [{"translated_youtube_id": "jAOtWm_WZiE", "relative_url": "/video/basic-shorting", "has_questions": false, "keywords": "Basic, Shorting", "ka_url": "http://www.khanacademy.org/video/basic-shorting", "duration": 209, "translated_title": "Basic shorting", "translated_description_html": "Basic Shorting", "id": "33794225", "description_html": "Basic Shorting", "title": "Basic shorting", "progress_key": "v33794225", "edit_slug": "edit/v/33794225", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic Shorting", "extra_properties": null, "node_slug": "v/basic-shorting", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.m3u8/jAOtWm_WZiE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jAOtWm_WZiE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794225", "sha": "390f3a4674d8df378a8dac13d0a1b72450f926f5", "translated_description": "Basic Shorting", "image_url": "https://img.youtube.com/vi/jAOtWm_WZiE/hqdefault.jpg", "youtube_id": "jAOtWm_WZiE", "content_kind": "Video", "readable_id": "basic-shorting"}, {"translated_youtube_id": "-IDmLERenrU", "relative_url": "/video/shorting-stock", "has_questions": false, "keywords": "finance, short, sale, stock, market", "ka_url": "http://www.khanacademy.org/video/shorting-stock", "duration": 572, "translated_title": "Shorting stock", "translated_description_html": "What does it mean to short a stock?", "id": "4802239", "description_html": "What does it mean to short a stock?", "title": "Shorting stock", "progress_key": "v4802239", "edit_slug": "edit/v/4802239", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "What does it mean to short a stock?", "extra_properties": null, "node_slug": "v/shorting-stock", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-IDmLERenrU.mp4/-IDmLERenrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-IDmLERenrU.mp4/-IDmLERenrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-IDmLERenrU.m3u8/-IDmLERenrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-IDmLERenrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802239", "sha": "c181add1cfc22f0091311ace9c2ac2bc500449d2", "translated_description": "What does it mean to short a stock?", "image_url": "https://img.youtube.com/vi/-IDmLERenrU/hqdefault.jpg", "youtube_id": "-IDmLERenrU", "content_kind": "Video", "readable_id": "shorting-stock"}, {"translated_youtube_id": "ucAUriWEFo8", "relative_url": "/video/shorting-stock-2", "has_questions": false, "keywords": "stock, short, covering, risk, sale, market, finance", "ka_url": "http://www.khanacademy.org/video/shorting-stock-2", "duration": 523, "translated_title": "Shorting stock 2", "translated_description_html": "More on the mechanics of shorting stock.", "id": "4802240", "description_html": "More on the mechanics of shorting stock.", "title": "Shorting stock 2", "progress_key": "v4802240", "edit_slug": "edit/v/4802240", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "More on the mechanics of shorting stock.", "extra_properties": null, "node_slug": "v/shorting-stock-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ucAUriWEFo8.mp4/ucAUriWEFo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ucAUriWEFo8.mp4/ucAUriWEFo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ucAUriWEFo8.m3u8/ucAUriWEFo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ucAUriWEFo8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802240", "sha": "920b109f13508cc80378f91c2b7a2352aa235481", "translated_description": "More on the mechanics of shorting stock.", "image_url": "https://img.youtube.com/vi/ucAUriWEFo8/hqdefault.jpg", "youtube_id": "ucAUriWEFo8", "content_kind": "Video", "readable_id": "shorting-stock-2"}, {"translated_youtube_id": "zAkMhEqWFF0", "relative_url": "/video/is-short-selling-bad", "has_questions": false, "keywords": "shorting, short, selling, ethics, volatility", "ka_url": "http://www.khanacademy.org/video/is-short-selling-bad", "duration": 835, "translated_title": "Is short selling bad?", "translated_description_html": "A discussion of the virtues and/or vices of short selling.", "id": "4802241", "description_html": "A discussion of the virtues and/or vices of short selling.", "title": "Is short selling bad?", "progress_key": "v4802241", "edit_slug": "edit/v/4802241", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A discussion of the virtues and/or vices of short selling.", "extra_properties": null, "node_slug": "v/is-short-selling-bad", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zAkMhEqWFF0.mp4/zAkMhEqWFF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zAkMhEqWFF0.mp4/zAkMhEqWFF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zAkMhEqWFF0.m3u8/zAkMhEqWFF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zAkMhEqWFF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v4802241", "sha": "24fdedf47cab2d1b682c09b779c3717bb8345383", "translated_description": "A discussion of the virtues and/or vices of short selling.", "image_url": "https://img.youtube.com/vi/zAkMhEqWFF0/hqdefault.jpg", "youtube_id": "zAkMhEqWFF0", "content_kind": "Video", "readable_id": "is-short-selling-bad"}], "twitter_url": "", "translated_description": "Can you sell something that you borrowed from someone else? Why, yes, you can and it is called \"shorting\". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Can you sell something that you borrowed from someone else? Why, yes, you can and it is called \"shorting\". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers.", "x_pos": 0.0, "node_slug": "shorting-stock", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b721b34", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/shorting-stock", "slug": "shorting-stock", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "24dc8a0c056239870f95e4912054719796173fd5", "standalone_title": "Shorting stock", "y_pos": 0.0, "current_revision_key": "24dc8a0c056239870f95e4912054719796173fd5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc", "translated_standalone_title": "Understanding company statements and capital structure", "translated_title": "Understanding company statements and capital structure", "gplus_url": "", "id": "x055d3c26", "old_key_name": "k3GLBud1gtyxrbQc1qFRj2jClfDccn4F1OjzJ9C9", "hide": false, "title": "Understanding company statements and capital structure", "child_data": [{"kind": "Video", "id": 1263904077}, {"kind": "Video", "id": 49718018}, {"kind": "Video", "id": 49718019}, {"kind": "Video", "id": 49718020}], "children": [{"translated_youtube_id": "7MjHWw3p710", "relative_url": "/video/gross-and-operating-profit", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gross-and-operating-profit", "duration": 235, "translated_title": "Gross and operating profit", "translated_description_html": "Difference between gross profit, operating profit, and net income.", "id": "1263904077", "description_html": "Difference between gross profit, operating profit, and net income.", "title": "Gross and operating profit", "progress_key": "v1263904077", "edit_slug": "edit/v/1263904077", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Difference between gross profit, operating profit, and net income.", "extra_properties": null, "node_slug": "v/gross-and-operating-profit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-03T16:28:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.mp4/7MjHWw3p710.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.mp4/7MjHWw3p710.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.m3u8/7MjHWw3p710.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7MjHWw3p710&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1263904077", "sha": "ccab9271da9e8ed8cff1e39a06e85b4c25ecdf14", "translated_description": "Difference between gross profit, operating profit, and net income.", "image_url": "https://img.youtube.com/vi/7MjHWw3p710/hqdefault.jpg", "youtube_id": "7MjHWw3p710", "content_kind": "Video", "readable_id": "gross-and-operating-profit"}, {"translated_youtube_id": "YEZMReBbkP0", "relative_url": "/video/basic-capital-structure-differences", "has_questions": false, "keywords": "debt, equity, capital, structure", "ka_url": "http://www.khanacademy.org/video/basic-capital-structure-differences", "duration": 241, "translated_title": "Basic capital structure differences", "translated_description_html": "Understanding basic capital structure differences", "id": "49718018", "description_html": "Understanding basic capital structure differences", "title": "Basic capital structure differences", "progress_key": "v49718018", "edit_slug": "edit/v/49718018", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding basic capital structure differences", "extra_properties": null, "node_slug": "v/basic-capital-structure-differences", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YEZMReBbkP0.mp4/YEZMReBbkP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YEZMReBbkP0.mp4/YEZMReBbkP0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YEZMReBbkP0.m3u8/YEZMReBbkP0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YEZMReBbkP0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718018", "sha": "7b82e02efcfa2b3f45262179d2f978581abdbaaa", "translated_description": "Understanding basic capital structure differences", "image_url": "https://img.youtube.com/vi/YEZMReBbkP0/hqdefault.jpg", "youtube_id": "YEZMReBbkP0", "content_kind": "Video", "readable_id": "basic-capital-structure-differences"}, {"translated_youtube_id": "5lmHzAHbtzg", "relative_url": "/video/market-capitalization", "has_questions": false, "keywords": "market, cap, book, value, investing", "ka_url": "http://www.khanacademy.org/video/market-capitalization", "duration": 190, "translated_title": "Market capitalization", "translated_description_html": "Market versus book value of equity", "id": "49718019", "description_html": "Market versus book value of equity", "title": "Market capitalization", "progress_key": "v49718019", "edit_slug": "edit/v/49718019", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Market versus book value of equity", "extra_properties": null, "node_slug": "v/market-capitalization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.mp4/5lmHzAHbtzg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.mp4/5lmHzAHbtzg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.m3u8/5lmHzAHbtzg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5lmHzAHbtzg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718019", "sha": "f7f324074f4bf136eeaba5d1d03b9dbe89eaa0e8", "translated_description": "Market versus book value of equity", "image_url": "https://img.youtube.com/vi/5lmHzAHbtzg/hqdefault.jpg", "youtube_id": "5lmHzAHbtzg", "content_kind": "Video", "readable_id": "market-capitalization"}, {"translated_youtube_id": "nhW3Ri4b_V8", "relative_url": "/video/market-value-of-assets", "has_questions": false, "keywords": "intangible, assets, market, value", "ka_url": "http://www.khanacademy.org/video/market-value-of-assets", "duration": 252, "translated_title": "Market value of assets", "translated_description_html": "Market value of assets.", "id": "49718020", "description_html": "Market value of assets.", "title": "Market value of assets", "progress_key": "v49718020", "edit_slug": "edit/v/49718020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Market value of assets.", "extra_properties": null, "node_slug": "v/market-value-of-assets", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-02T22:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nhW3Ri4b_V8.mp4/nhW3Ri4b_V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nhW3Ri4b_V8.mp4/nhW3Ri4b_V8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nhW3Ri4b_V8.m3u8/nhW3Ri4b_V8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nhW3Ri4b_V8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v49718020", "sha": "9490225d8ee9c7f391fce201fee5a87aba7cffbb", "translated_description": "Market value of assets.", "image_url": "https://img.youtube.com/vi/nhW3Ri4b_V8/hqdefault.jpg", "youtube_id": "nhW3Ri4b_V8", "content_kind": "Video", "readable_id": "market-value-of-assets"}], "twitter_url": "", "translated_description": "If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials.\n\nThis tutorial does this to help you understand what the price of a company really is.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials.\n\nThis tutorial does this to help you understand what the price of a company really is.", "x_pos": 0.0, "node_slug": "company-statements-capital-struc", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax055d3c26", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc", "slug": "company-statements-capital-struc", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8c6bb2b508f3123a3fdd24f688e8f2d19ded5ed9", "standalone_title": "Understanding company statements and capital structure", "y_pos": 0.0, "current_revision_key": "8c6bb2b508f3123a3fdd24f688e8f2d19ded5ed9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing", "translated_standalone_title": "Valuation and Investing", "translated_title": "Corporate metrics and valuation", "gplus_url": "", "id": "x0876d86e", "old_key_name": "Otraw72o1shilO27_hekvNLUi9T6MsesjPJSVzW-", "hide": false, "title": "Corporate metrics and valuation", "child_data": [{"kind": "Video", "id": 369056}, {"kind": "Video", "id": 414003}, {"kind": "Video", "id": 369057}, {"kind": "Video", "id": 418008}, {"kind": "Video", "id": 430003}, {"kind": "Video", "id": 378043}, {"kind": "Video", "id": 431002}, {"kind": "Video", "id": 368054}, {"kind": "Video", "id": 415006}, {"kind": "Video", "id": 412023}, {"kind": "Video", "id": 420004}, {"kind": "Video", "id": 426004}], "children": [{"translated_youtube_id": "fa-VZ-SDxgY", "relative_url": "/video/price-and-market-capitalization", "has_questions": false, "keywords": "finance, investing, stocks, valuation", "ka_url": "http://www.khanacademy.org/video/price-and-market-capitalization", "duration": 715, "translated_title": "Price and market capitalization", "translated_description_html": "Introduction to price and market capitalization", "id": "369056", "description_html": "Introduction to price and market capitalization", "title": "Price and market capitalization", "progress_key": "v369056", "edit_slug": "edit/v/369056", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to price and market capitalization", "extra_properties": null, "node_slug": "v/price-and-market-capitalization", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2011-02-20T16:55:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.mp4/fa-VZ-SDxgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.mp4/fa-VZ-SDxgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.m3u8/fa-VZ-SDxgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fa-VZ-SDxgY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v369056", "sha": "326b9c6821ed999ee95fb20189cb74f7c1cf2183", "translated_description": "Introduction to price and market capitalization", "image_url": "https://img.youtube.com/vi/fa-VZ-SDxgY/hqdefault.jpg", "youtube_id": "fa-VZ-SDxgY", "content_kind": "Video", "readable_id": "price-and-market-capitalization"}, {"translated_youtube_id": "Z7C4cz2HkeY", "relative_url": "/video/introduction-to-the-income-statement", "has_questions": false, "keywords": "finance, income, statement, ROA, ROE, gross, profit, revenue", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-income-statement", "duration": 927, "translated_title": "Introduction to the income statement", "translated_description_html": "The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.", "id": "414003", "description_html": "The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.", "title": "Introduction to the income statement", "progress_key": "v414003", "edit_slug": "edit/v/414003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.", "extra_properties": null, "node_slug": "v/introduction-to-the-income-statement", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.mp4/Z7C4cz2HkeY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.mp4/Z7C4cz2HkeY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.m3u8/Z7C4cz2HkeY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z7C4cz2HkeY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v414003", "sha": "86ebb549f0b5209e176865742e88acd4a69fcdc6", "translated_description": "The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.", "image_url": "https://img.youtube.com/vi/Z7C4cz2HkeY/hqdefault.jpg", "youtube_id": "Z7C4cz2HkeY", "content_kind": "Video", "readable_id": "introduction-to-the-income-statement"}, {"translated_youtube_id": "RouNXdkC0do", "relative_url": "/video/earnings-and-eps", "has_questions": false, "keywords": "earnings, finance, income, statement, eps, balance, sheet", "ka_url": "http://www.khanacademy.org/video/earnings-and-eps", "duration": 614, "translated_title": "Earnings and EPS", "translated_description_html": "Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet", "id": "369057", "description_html": "Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet", "title": "Earnings and EPS", "progress_key": "v369057", "edit_slug": "edit/v/369057", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet", "extra_properties": null, "node_slug": "v/earnings-and-eps", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.mp4/RouNXdkC0do.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.mp4/RouNXdkC0do.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.m3u8/RouNXdkC0do.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RouNXdkC0do&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v369057", "sha": "88f8a934980f9a029fce7009ca838296d735a6db", "translated_description": "Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet", "image_url": "https://img.youtube.com/vi/RouNXdkC0do/hqdefault.jpg", "youtube_id": "RouNXdkC0do", "content_kind": "Video", "readable_id": "earnings-and-eps"}, {"translated_youtube_id": "cppxO67e6eo", "relative_url": "/video/introduction-to-the-price-to-earnings-ratio", "has_questions": false, "keywords": "investing, price, earnings, ratio, finance, stock", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-price-to-earnings-ratio", "duration": 887, "translated_title": "Introduction to the price-to-earnings ratio", "translated_description_html": "Price to Earnings Ration (or P/E ratio).", "id": "418008", "description_html": "Price to Earnings Ration (or P/E ratio).", "title": "Introduction to the price-to-earnings ratio", "progress_key": "v418008", "edit_slug": "edit/v/418008", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Price to Earnings Ration (or P/E ratio).", "extra_properties": null, "node_slug": "v/introduction-to-the-price-to-earnings-ratio", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.mp4/cppxO67e6eo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.mp4/cppxO67e6eo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.m3u8/cppxO67e6eo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cppxO67e6eo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v418008", "sha": "ea024b7824563407036d663ab83128bd4debe57b", "translated_description": "Price to Earnings Ration (or P/E ratio).", "image_url": "https://img.youtube.com/vi/cppxO67e6eo/hqdefault.jpg", "youtube_id": "cppxO67e6eo", "content_kind": "Video", "readable_id": "introduction-to-the-price-to-earnings-ratio"}, {"translated_youtube_id": "V-rko8jgJ9o", "relative_url": "/video/p-e-discussion", "has_questions": false, "keywords": "price, to, earnings, p/e, stocks, investing, valuation", "ka_url": "http://www.khanacademy.org/video/p-e-discussion", "duration": 934, "translated_title": "P/E discussion", "translated_description_html": "Discussion of the price-to-earnings ratio", "id": "430003", "description_html": "Discussion of the price-to-earnings ratio", "title": "P/E discussion", "progress_key": "v430003", "edit_slug": "edit/v/430003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Discussion of the price-to-earnings ratio", "extra_properties": null, "node_slug": "v/p-e-discussion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.mp4/V-rko8jgJ9o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.mp4/V-rko8jgJ9o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.m3u8/V-rko8jgJ9o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=V-rko8jgJ9o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v430003", "sha": "ef32cd8aea6252cbba09b922f3c1f2ecee70b625", "translated_description": "Discussion of the price-to-earnings ratio", "image_url": "https://img.youtube.com/vi/V-rko8jgJ9o/hqdefault.jpg", "youtube_id": "V-rko8jgJ9o", "content_kind": "Video", "readable_id": "p-e-discussion"}, {"translated_youtube_id": "Oh4H3BJX1ZI", "relative_url": "/video/roa-discussion-1", "has_questions": false, "keywords": "roa, return, on, assets", "ka_url": "http://www.khanacademy.org/video/roa-discussion-1", "duration": 631, "translated_title": "ROA discussion 1", "translated_description_html": "A discussion of the various ways to measure return on assets", "id": "378043", "description_html": "A discussion of the various ways to measure return on assets", "title": "ROA discussion 1", "progress_key": "v378043", "edit_slug": "edit/v/378043", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A discussion of the various ways to measure return on assets", "extra_properties": null, "node_slug": "v/roa-discussion-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.m3u8/Oh4H3BJX1ZI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oh4H3BJX1ZI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v378043", "sha": "cf53446fdd022889d79f13337915572bb812050c", "translated_description": "A discussion of the various ways to measure return on assets", "image_url": "https://img.youtube.com/vi/Oh4H3BJX1ZI/hqdefault.jpg", "youtube_id": "Oh4H3BJX1ZI", "content_kind": "Video", "readable_id": "roa-discussion-1"}, {"translated_youtube_id": "R_5slDeVCQk", "relative_url": "/video/roa-discussion-2", "has_questions": false, "keywords": "return, on, asset, roa", "ka_url": "http://www.khanacademy.org/video/roa-discussion-2", "duration": 617, "translated_title": "ROA discussion 2", "translated_description_html": "More on the return on asset discussion.", "id": "431002", "description_html": "More on the return on asset discussion.", "title": "ROA discussion 2", "progress_key": "v431002", "edit_slug": "edit/v/431002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More on the return on asset discussion.", "extra_properties": null, "node_slug": "v/roa-discussion-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.m3u8/R_5slDeVCQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R_5slDeVCQk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v431002", "sha": "18e2642402d85abdcea6d460af284e83c673743b", "translated_description": "More on the return on asset discussion.", "image_url": "https://img.youtube.com/vi/R_5slDeVCQk/hqdefault.jpg", "youtube_id": "R_5slDeVCQk", "content_kind": "Video", "readable_id": "roa-discussion-2"}, {"translated_youtube_id": "a5sFUXkxyGc", "relative_url": "/video/depreciation", "has_questions": false, "keywords": "accounting, depreciation, and, amortization, income, statement", "ka_url": "http://www.khanacademy.org/video/depreciation", "duration": 753, "translated_title": "Depreciation", "translated_description_html": "Depreciation a capital asset", "id": "368054", "description_html": "Depreciation a capital asset", "title": "Depreciation", "progress_key": "v368054", "edit_slug": "edit/v/368054", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Depreciation a capital asset", "extra_properties": null, "node_slug": "v/depreciation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.m3u8/a5sFUXkxyGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a5sFUXkxyGc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v368054", "sha": "50bdaedaafbfe90cc4f4e9845dca5b47118c566a", "translated_description": "Depreciation a capital asset", "image_url": "https://img.youtube.com/vi/a5sFUXkxyGc/hqdefault.jpg", "youtube_id": "a5sFUXkxyGc", "content_kind": "Video", "readable_id": "depreciation"}, {"translated_youtube_id": "XfR3JSkSkJM", "relative_url": "/video/amortization", "has_questions": false, "keywords": "depreciation, amortization, accounting, investing", "ka_url": "http://www.khanacademy.org/video/amortization", "duration": 465, "translated_title": "Amortization", "translated_description_html": "Introduction to amortization", "id": "415006", "description_html": "Introduction to amortization", "title": "Amortization", "progress_key": "v415006", "edit_slug": "edit/v/415006", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to amortization", "extra_properties": null, "node_slug": "v/amortization", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.m3u8/XfR3JSkSkJM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XfR3JSkSkJM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v415006", "sha": "fd259226492cf888d5ba54db792166315faf4c09", "translated_description": "Introduction to amortization", "image_url": "https://img.youtube.com/vi/XfR3JSkSkJM/hqdefault.jpg", "youtube_id": "XfR3JSkSkJM", "content_kind": "Video", "readable_id": "amortization"}, {"translated_youtube_id": "VrFbXxkl9JU", "relative_url": "/video/p-e-conundrum", "has_questions": false, "keywords": "asset, p/e, enterprise, value, valuation", "ka_url": "http://www.khanacademy.org/video/p-e-conundrum", "duration": 821, "translated_title": "P/E conundrum", "translated_description_html": "A situation where the price to earnings ratio seems to not fairly price an asset", "id": "412023", "description_html": "A situation where the price to earnings ratio seems to not fairly price an asset", "title": "P/E conundrum", "progress_key": "v412023", "edit_slug": "edit/v/412023", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A situation where the price to earnings ratio seems to not fairly price an asset", "extra_properties": null, "node_slug": "v/p-e-conundrum", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.mp4/VrFbXxkl9JU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.mp4/VrFbXxkl9JU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.m3u8/VrFbXxkl9JU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VrFbXxkl9JU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v412023", "sha": "28f28d31001eb5890b6151a850dee7c9850f3452", "translated_description": "A situation where the price to earnings ratio seems to not fairly price an asset", "image_url": "https://img.youtube.com/vi/VrFbXxkl9JU/hqdefault.jpg", "youtube_id": "VrFbXxkl9JU", "content_kind": "Video", "readable_id": "p-e-conundrum"}, {"translated_youtube_id": "pa92UdJCaos", "relative_url": "/video/enterprise-value", "has_questions": false, "keywords": "enterprise, value, EV, ebitda, operating, income, valuation", "ka_url": "http://www.khanacademy.org/video/enterprise-value", "duration": 1049, "translated_title": "Enterprise value", "translated_description_html": "Solving the P/E conundrum by looking at a different valuation metric (enterprise value)", "id": "420004", "description_html": "Solving the P/E conundrum by looking at a different valuation metric (enterprise value)", "title": "Enterprise value", "progress_key": "v420004", "edit_slug": "edit/v/420004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Solving the P/E conundrum by looking at a different valuation metric (enterprise value)", "extra_properties": null, "node_slug": "v/enterprise-value", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:55:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.m3u8/pa92UdJCaos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pa92UdJCaos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v420004", "sha": "372906ace678ded72fc90596a28e36ee595e9f35", "translated_description": "Solving the P/E conundrum by looking at a different valuation metric (enterprise value)", "image_url": "https://img.youtube.com/vi/pa92UdJCaos/hqdefault.jpg", "youtube_id": "pa92UdJCaos", "content_kind": "Video", "readable_id": "enterprise-value"}, {"translated_youtube_id": "v4Fq9LEspzw", "relative_url": "/video/ebitda", "has_questions": false, "keywords": "earnings, before, interest, taxes, depreciation, amortization, EBITDA", "ka_url": "http://www.khanacademy.org/video/ebitda", "duration": 847, "translated_title": "EBITDA", "translated_description_html": "Review of Enterprise Value and comparing it to EBITDA", "id": "426004", "description_html": "Review of Enterprise Value and comparing it to EBITDA", "title": "EBITDA", "progress_key": "v426004", "edit_slug": "edit/v/426004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Review of Enterprise Value and comparing it to EBITDA", "extra_properties": null, "node_slug": "v/ebitda", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:55:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.m3u8/v4Fq9LEspzw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v4Fq9LEspzw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v426004", "sha": "fffe64cd3d322086c08816ba354b0cdfaa0f4ca7", "translated_description": "Review of Enterprise Value and comparing it to EBITDA", "image_url": "https://img.youtube.com/vi/v4Fq9LEspzw/hqdefault.jpg", "youtube_id": "v4Fq9LEspzw", "content_kind": "Video", "readable_id": "ebitda"}], "twitter_url": "", "translated_description": "Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks.\n\nFrom P/E rations to EV/EBITDA, we've got your back!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks.\n\nFrom P/E rations to EV/EBITDA, we've got your back!", "x_pos": 0.0, "node_slug": "valuation-and-investing", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0876d86e", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing", "slug": "valuation-and-investing", "tags": ["stock", "finance", "valuation", "price", "to", "earnings", "p/e", "ratio", "income", "statement", "balance", "sheet"], "kind": "Topic", "in_topic_browser": true, "sha": "9cf6de2ec675a3e5b50f9d6489962740fec1dc64", "standalone_title": "Valuation and Investing", "y_pos": 0.0, "current_revision_key": "9cf6de2ec675a3e5b50f9d6489962740fec1dc64", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets", "translated_standalone_title": "Life of a company--from birth to death", "translated_title": "Life of a company--from birth to death", "gplus_url": "", "id": "x6ceac502", "old_key_name": "k30LWQmzX5Syu_KAl05MVOdSyz3-Sm8AAwkAWM0V", "hide": false, "title": "Life of a company--from birth to death", "child_data": [{"kind": "Video", "id": 24826}, {"kind": "Video", "id": 24828}, {"kind": "Video", "id": 24830}, {"kind": "Video", "id": 24832}, {"kind": "Video", "id": 24834}, {"kind": "Video", "id": 26306}, {"kind": "Video", "id": 24836}, {"kind": "Video", "id": 24838}, {"kind": "Video", "id": 24840}], "children": [{"translated_youtube_id": "8OCjwBkMJ_E", "relative_url": "/video/raising-money-for-a-startup", "has_questions": false, "keywords": "vencture, capital, angel, pre, post, money, valuation", "ka_url": "http://www.khanacademy.org/video/raising-money-for-a-startup", "duration": 722, "translated_title": "Raising money for a startup", "translated_description_html": "Raising money from an angel investor. Pre-money and post-money valuation.", "id": "24826", "description_html": "Raising money from an angel investor. Pre-money and post-money valuation.", "title": "Raising money for a startup", "progress_key": "v24826", "edit_slug": "edit/v/24826", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raising money from an angel investor. Pre-money and post-money valuation.", "extra_properties": null, "node_slug": "v/raising-money-for-a-startup", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.mp4/8OCjwBkMJ_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.mp4/8OCjwBkMJ_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.m3u8/8OCjwBkMJ_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8OCjwBkMJ_E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24826", "sha": "5cab98ab0419e4f367a53636fb380276fc678a87", "translated_description": "Raising money from an angel investor. Pre-money and post-money valuation.", "image_url": "https://img.youtube.com/vi/8OCjwBkMJ_E/hqdefault.jpg", "youtube_id": "8OCjwBkMJ_E", "content_kind": "Video", "readable_id": "raising-money-for-a-startup"}, {"translated_youtube_id": "-hJj5NpWUXQ", "relative_url": "/video/getting-a-seed-round-from-a-vc", "has_questions": false, "keywords": "venture, capital, seed, series", "ka_url": "http://www.khanacademy.org/video/getting-a-seed-round-from-a-vc", "duration": 664, "translated_title": "Getting a seed round from a VC", "translated_description_html": "Series A funding from a seed venture capitalist.", "id": "24828", "description_html": "Series A funding from a seed venture capitalist.", "title": "Getting a seed round from a VC", "progress_key": "v24828", "edit_slug": "edit/v/24828", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Series A funding from a seed venture capitalist.", "extra_properties": null, "node_slug": "v/getting-a-seed-round-from-a-vc", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-hJj5NpWUXQ.mp4/-hJj5NpWUXQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-hJj5NpWUXQ.mp4/-hJj5NpWUXQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-hJj5NpWUXQ.m3u8/-hJj5NpWUXQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-hJj5NpWUXQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24828", "sha": "51b67285220d1ff41425ebb5156b42954b0afc8b", "translated_description": "Series A funding from a seed venture capitalist.", "image_url": "https://img.youtube.com/vi/-hJj5NpWUXQ/hqdefault.jpg", "youtube_id": "-hJj5NpWUXQ", "content_kind": "Video", "readable_id": "getting-a-seed-round-from-a-vc"}, {"translated_youtube_id": "m28RAgUySGQ", "relative_url": "/video/going-back-to-the-till--series-b", "has_questions": false, "keywords": "venture, capital, financing, series", "ka_url": "http://www.khanacademy.org/video/going-back-to-the-till--series-b", "duration": 714, "translated_title": "Going back to the till: Series B", "translated_description_html": "More on the series A financing. Going back for another round with a series B financing.", "id": "24830", "description_html": "More on the series A financing. Going back for another round with a series B financing.", "title": "Going back to the till: Series B", "progress_key": "v24830", "edit_slug": "edit/v/24830", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the series A financing. Going back for another round with a series B financing.", "extra_properties": null, "node_slug": "v/going-back-to-the-till--series-b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.m3u8/m28RAgUySGQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m28RAgUySGQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24830", "sha": "7aecad94b766c5b0c7b306b516e8cded68df00ff", "translated_description": "More on the series A financing. Going back for another round with a series B financing.", "image_url": "https://img.youtube.com/vi/m28RAgUySGQ/hqdefault.jpg", "youtube_id": "m28RAgUySGQ", "content_kind": "Video", "readable_id": "going-back-to-the-till--series-b"}, {"translated_youtube_id": "ywOr4OYqXOs", "relative_url": "/video/an-ipo", "has_questions": false, "keywords": "ipo, initial, public, offering, syndicate, underwriters", "ka_url": "http://www.khanacademy.org/video/an-ipo", "duration": 869, "translated_title": "An IPO", "translated_description_html": "The initial public offering of our online sock company.", "id": "24832", "description_html": "The initial public offering of our online sock company.", "title": "An IPO", "progress_key": "v24832", "edit_slug": "edit/v/24832", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The initial public offering of our online sock company.", "extra_properties": null, "node_slug": "v/an-ipo", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ywOr4OYqXOs.mp4/ywOr4OYqXOs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ywOr4OYqXOs.mp4/ywOr4OYqXOs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ywOr4OYqXOs.m3u8/ywOr4OYqXOs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ywOr4OYqXOs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24832", "sha": "507ea54929a11371b7b483863f5687f9915ade68", "translated_description": "The initial public offering of our online sock company.", "image_url": "https://img.youtube.com/vi/ywOr4OYqXOs/hqdefault.jpg", "youtube_id": "ywOr4OYqXOs", "content_kind": "Video", "readable_id": "an-ipo"}, {"translated_youtube_id": "opEy6iN9kqc", "relative_url": "/video/more-on-ipos", "has_questions": false, "keywords": "ipo, initial, public, offering, equity, stock, market", "ka_url": "http://www.khanacademy.org/video/more-on-ipos", "duration": 707, "translated_title": "More on IPOs", "translated_description_html": "Public vs. Private Equity. Why people buy equity to begin with.", "id": "24834", "description_html": "Public vs. Private Equity. Why people buy equity to begin with.", "title": "More on IPOs", "progress_key": "v24834", "edit_slug": "edit/v/24834", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Public vs. Private Equity. Why people buy equity to begin with.", "extra_properties": null, "node_slug": "v/more-on-ipos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/opEy6iN9kqc.mp4/opEy6iN9kqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/opEy6iN9kqc.mp4/opEy6iN9kqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/opEy6iN9kqc.m3u8/opEy6iN9kqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=opEy6iN9kqc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24834", "sha": "3a25bf7ed94389aca528f0174f41139528c649e4", "translated_description": "Public vs. Private Equity. Why people buy equity to begin with.", "image_url": "https://img.youtube.com/vi/opEy6iN9kqc/hqdefault.jpg", "youtube_id": "opEy6iN9kqc", "content_kind": "Video", "readable_id": "more-on-ipos"}, {"translated_youtube_id": "yQtUyBrRBx4", "relative_url": "/video/equity-vs--debt", "has_questions": false, "keywords": "equity, debt, ipo, enterprise, value, asset, liability", "ka_url": "http://www.khanacademy.org/video/equity-vs--debt", "duration": 834, "translated_title": "Equity vs. debt", "translated_description_html": "Debt vs. Equity. Market Capitalization, Asset Value, and Enterprise Value.", "id": "26306", "description_html": "Debt vs. Equity. Market Capitalization, Asset Value, and Enterprise Value.", "title": "Equity vs. debt", "progress_key": "v26306", "edit_slug": "edit/v/26306", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Debt vs. Equity. Market Capitalization, Asset Value, and Enterprise Value.", "extra_properties": null, "node_slug": "v/equity-vs--debt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:55:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yQtUyBrRBx4.mp4/yQtUyBrRBx4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yQtUyBrRBx4.mp4/yQtUyBrRBx4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yQtUyBrRBx4.m3u8/yQtUyBrRBx4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yQtUyBrRBx4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26306", "sha": "7dc319a1ff7f21e99139f9ff6af1482a7c15bfb9", "translated_description": "Debt vs. Equity. Market Capitalization, Asset Value, and Enterprise Value.", "image_url": "https://img.youtube.com/vi/yQtUyBrRBx4/hqdefault.jpg", "youtube_id": "yQtUyBrRBx4", "content_kind": "Video", "readable_id": "equity-vs--debt"}, {"translated_youtube_id": "rs1md3e4aYU", "relative_url": "/video/bonds-vs--stocks", "has_questions": false, "keywords": "stocks, bonds, equity, debt", "ka_url": "http://www.khanacademy.org/video/bonds-vs--stocks", "duration": 561, "translated_title": "Bonds vs. stocks", "translated_description_html": "The difference between a bond and a stock.", "id": "24836", "description_html": "The difference between a bond and a stock.", "title": "Bonds vs. stocks", "progress_key": "v24836", "edit_slug": "edit/v/24836", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between a bond and a stock.", "extra_properties": null, "node_slug": "v/bonds-vs--stocks", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2011-02-20T16:42:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.mp4/rs1md3e4aYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.mp4/rs1md3e4aYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rs1md3e4aYU.m3u8/rs1md3e4aYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rs1md3e4aYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24836", "sha": "3281314105db19095726fcb526a523f5e046806f", "translated_description": "The difference between a bond and a stock.", "image_url": "https://img.youtube.com/vi/rs1md3e4aYU/hqdefault.jpg", "youtube_id": "rs1md3e4aYU", "content_kind": "Video", "readable_id": "bonds-vs--stocks"}, {"translated_youtube_id": "-oW4M3vpuRM", "relative_url": "/video/chapter-7-bankruptcy-liquidation", "has_questions": false, "keywords": "bankruptcy, chapter, liquidation", "ka_url": "http://www.khanacademy.org/video/chapter-7-bankruptcy-liquidation", "duration": 680, "translated_title": "Chapter 7: Bankruptcy liquidation", "translated_description_html": "Introduction to bankruptcy liquidation (Chapter 7)", "id": "24838", "description_html": "Introduction to bankruptcy liquidation (Chapter 7)", "title": "Chapter 7: Bankruptcy liquidation", "progress_key": "v24838", "edit_slug": "edit/v/24838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to bankruptcy liquidation (Chapter 7)", "extra_properties": null, "node_slug": "v/chapter-7-bankruptcy-liquidation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.mp4/-oW4M3vpuRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.mp4/-oW4M3vpuRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.m3u8/-oW4M3vpuRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oW4M3vpuRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24838", "sha": "2fa6a1c18351133fb54c935bea5c9d6cf0ba471e", "translated_description": "Introduction to bankruptcy liquidation (Chapter 7)", "image_url": "https://img.youtube.com/vi/-oW4M3vpuRM/hqdefault.jpg", "youtube_id": "-oW4M3vpuRM", "content_kind": "Video", "readable_id": "chapter-7-bankruptcy-liquidation"}, {"translated_youtube_id": "mxVWyzzMOXM", "relative_url": "/video/chapter-11--bankruptcy-restructuring", "has_questions": false, "keywords": "chapter, 11, restructuring, bankruptcy", "ka_url": "http://www.khanacademy.org/video/chapter-11--bankruptcy-restructuring", "duration": 845, "translated_title": "Chapter 11: Bankruptcy restructuring", "translated_description_html": "Chapter 11: Restructuring through a bankruptcy", "id": "24840", "description_html": "Chapter 11: Restructuring through a bankruptcy", "title": "Chapter 11: Bankruptcy restructuring", "progress_key": "v24840", "edit_slug": "edit/v/24840", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chapter 11: Restructuring through a bankruptcy", "extra_properties": null, "node_slug": "v/chapter-11--bankruptcy-restructuring", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.mp4/mxVWyzzMOXM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.mp4/mxVWyzzMOXM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.m3u8/mxVWyzzMOXM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mxVWyzzMOXM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24840", "sha": "ec3199be37a20e45e0466ed0249f1019b350008f", "translated_description": "Chapter 11: Restructuring through a bankruptcy", "image_url": "https://img.youtube.com/vi/mxVWyzzMOXM/hqdefault.jpg", "youtube_id": "mxVWyzzMOXM", "content_kind": "Video", "readable_id": "chapter-11--bankruptcy-restructuring"}], "twitter_url": "", "translated_description": "This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts).", "x_pos": 0.0, "node_slug": "venture-capital-and-capital-markets", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6ceac502", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets", "slug": "venture-capital-and-capital-markets", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "25a24e56077ea7dc41cb9213ee56fd139a4ec985", "standalone_title": "Life of a company--from birth to death", "y_pos": 0.0, "current_revision_key": "25a24e56077ea7dc41cb9213ee56fd139a4ec985", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial", "translated_standalone_title": "Dilution", "translated_title": "Dilution", "gplus_url": "", "id": "x90b4722a", "old_key_name": "n9IM9NPJcjPsCBL2F3qH2KhA9fMZddhxVGc5FtNC", "hide": false, "title": "Dilution", "child_data": [{"kind": "Video", "id": 85588688}], "children": [{"translated_youtube_id": "tjQzJ7GY0GY", "relative_url": "/video/stock-dilution", "has_questions": false, "keywords": "finance, stock, dilution", "ka_url": "http://www.khanacademy.org/video/stock-dilution", "duration": 231, "translated_title": "Stock dilution", "translated_description_html": "Why the value per share does not really get diluted when more shares are issued in a secondary offering", "id": "85588688", "description_html": "Why the value per share does not really get diluted when more shares are issued in a secondary offering", "title": "Stock dilution", "progress_key": "v85588688", "edit_slug": "edit/v/85588688", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why the value per share does not really get diluted when more shares are issued in a secondary offering", "extra_properties": null, "node_slug": "v/stock-dilution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-12T23:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tjQzJ7GY0GY.mp4/tjQzJ7GY0GY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tjQzJ7GY0GY.mp4/tjQzJ7GY0GY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tjQzJ7GY0GY.m3u8/tjQzJ7GY0GY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tjQzJ7GY0GY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85588688", "sha": "9060aa31d4bb9d892a07d51fa771ed0661d7c017", "translated_description": "Why the value per share does not really get diluted when more shares are issued in a secondary offering", "image_url": "https://img.youtube.com/vi/tjQzJ7GY0GY/hqdefault.jpg", "youtube_id": "tjQzJ7GY0GY", "content_kind": "Video", "readable_id": "stock-dilution"}], "twitter_url": "", "translated_description": "When companies issue new shares, many people consider this a share \"dilution\"--implying that the value of each share has been \"watered down\" a bit. This tutorial walks through the mechanics and why--assuming management isn't doing something stupid--the shares might not be diluted at all.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When companies issue new shares, many people consider this a share \"dilution\"--implying that the value of each share has been \"watered down\" a bit. This tutorial walks through the mechanics and why--assuming management isn't doing something stupid--the shares might not be diluted at all.", "x_pos": 0.0, "node_slug": "dilution-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax90b4722a", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial", "slug": "dilution-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f38571630af09b1a93262e9366047c6bbe969a98", "standalone_title": "Dilution", "y_pos": 0.0, "current_revision_key": "f38571630af09b1a93262e9366047c6bbe969a98", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions", "translated_standalone_title": "Mergers and acquisitions", "translated_title": "Mergers and acquisitions", "gplus_url": "", "id": "x979e76ac", "old_key_name": "0wYGRVMErfHoOqwL44z88ctjoM6E_Q6mheaSpfx2", "hide": false, "title": "Mergers and acquisitions", "child_data": [{"kind": "Video", "id": 85588689}, {"kind": "Video", "id": 85588690}, {"kind": "Video", "id": 85588691}], "children": [{"translated_youtube_id": "DMd9mTyzj6k", "relative_url": "/video/acquisitions-with-shares", "has_questions": false, "keywords": "shares, stocks, capital, markets, finance", "ka_url": "http://www.khanacademy.org/video/acquisitions-with-shares", "duration": 227, "translated_title": "Acquisitions with shares", "translated_description_html": "Mechanics of a share-based acquisition", "id": "85588689", "description_html": "Mechanics of a share-based acquisition", "title": "Acquisitions with shares", "progress_key": "v85588689", "edit_slug": "edit/v/85588689", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mechanics of a share-based acquisition", "extra_properties": null, "node_slug": "v/acquisitions-with-shares", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-05-12T23:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DMd9mTyzj6k.mp4/DMd9mTyzj6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DMd9mTyzj6k.mp4/DMd9mTyzj6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DMd9mTyzj6k.m3u8/DMd9mTyzj6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DMd9mTyzj6k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85588689", "sha": "d67b3c1edbbdcbc10215673fb77c64dcf2ed56ae", "translated_description": "Mechanics of a share-based acquisition", "image_url": "https://img.youtube.com/vi/DMd9mTyzj6k/hqdefault.jpg", "youtube_id": "DMd9mTyzj6k", "content_kind": "Video", "readable_id": "acquisitions-with-shares"}, {"translated_youtube_id": "7zBqVOuEKYE", "relative_url": "/video/price-behavior-after-announced-acquisition", "has_questions": false, "keywords": "Stock, Price, Behavior, After, Announced, Acquisition, with, Shares", "ka_url": "http://www.khanacademy.org/video/price-behavior-after-announced-acquisition", "duration": 244, "translated_title": "Price behavior after announced acquisition", "translated_description_html": "Stock Price Behavior After Announced Acquisition with Shares", "id": "85588690", "description_html": "Stock Price Behavior After Announced Acquisition with Shares", "title": "Price behavior after announced acquisition", "progress_key": "v85588690", "edit_slug": "edit/v/85588690", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Stock Price Behavior After Announced Acquisition with Shares", "extra_properties": null, "node_slug": "v/price-behavior-after-announced-acquisition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-12T23:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7zBqVOuEKYE.mp4/7zBqVOuEKYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7zBqVOuEKYE.mp4/7zBqVOuEKYE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7zBqVOuEKYE.m3u8/7zBqVOuEKYE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7zBqVOuEKYE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85588690", "sha": "da616417cdbab22397be7ce309bd41b0c721c119", "translated_description": "Stock Price Behavior After Announced Acquisition with Shares", "image_url": "https://img.youtube.com/vi/7zBqVOuEKYE/hqdefault.jpg", "youtube_id": "7zBqVOuEKYE", "content_kind": "Video", "readable_id": "price-behavior-after-announced-acquisition"}, {"translated_youtube_id": "CzDA0WCdWHQ", "relative_url": "/video/simple-merger-arb-with-share-acquisition", "has_questions": false, "keywords": "hedge, funds, capital, markets, finance", "ka_url": "http://www.khanacademy.org/video/simple-merger-arb-with-share-acquisition", "duration": 262, "translated_title": "Simple merger arbitrage with share acquisition", "translated_description_html": "Showing how a merger arbitrage player might act if they were sure that a transaction would go through", "id": "85588691", "description_html": "Showing how a merger arbitrage player might act if they were sure that a transaction would go through", "title": "Simple merger arbitrage with share acquisition", "progress_key": "v85588691", "edit_slug": "edit/v/85588691", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Showing how a merger arbitrage player might act if they were sure that a transaction would go through", "extra_properties": null, "node_slug": "v/simple-merger-arb-with-share-acquisition", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-12T23:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CzDA0WCdWHQ.mp4/CzDA0WCdWHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CzDA0WCdWHQ.mp4/CzDA0WCdWHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CzDA0WCdWHQ.m3u8/CzDA0WCdWHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CzDA0WCdWHQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85588691", "sha": "40814a95400c3838a136fa93551ada3ee2f0d4a9", "translated_description": "Showing how a merger arbitrage player might act if they were sure that a transaction would go through", "image_url": "https://img.youtube.com/vi/CzDA0WCdWHQ/hqdefault.jpg", "youtube_id": "CzDA0WCdWHQ", "content_kind": "Video", "readable_id": "simple-merger-arb-with-share-acquisition"}], "twitter_url": "", "translated_description": "Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage).", "x_pos": 0.0, "node_slug": "mergers-acquisitions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax979e76ac", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions", "slug": "mergers-acquisitions", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "11b04293343b107521815007dc831e1a49379d73", "standalone_title": "Mergers and acquisitions", "y_pos": 0.0, "current_revision_key": "11b04293343b107521815007dc831e1a49379d73", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs", "translated_standalone_title": "Leveraged buy-outs", "translated_title": "Leveraged buy-outs", "gplus_url": "", "id": "x71c2d102", "old_key_name": "XbB-Zy6jhGZ_SSvRahxiN54ctiaPs_UDKppwRJlv", "hide": false, "title": "Leveraged buy-outs", "child_data": [{"kind": "Video", "id": 85588692}], "children": [{"translated_youtube_id": "LVMLs2z1JYg", "relative_url": "/video/basic-leveraged-buyout--lbo", "has_questions": false, "keywords": "private, equity, finance", "ka_url": "http://www.khanacademy.org/video/basic-leveraged-buyout--lbo", "duration": 335, "translated_title": "Basic leveraged buyout (LBO)", "translated_description_html": "The mechanics of a simple leveraged buy-out", "id": "85588692", "description_html": "The mechanics of a simple leveraged buy-out", "title": "Basic leveraged buyout (LBO)", "progress_key": "v85588692", "edit_slug": "edit/v/85588692", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The mechanics of a simple leveraged buy-out", "extra_properties": null, "node_slug": "v/basic-leveraged-buyout--lbo", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-12T23:26:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LVMLs2z1JYg.mp4/LVMLs2z1JYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LVMLs2z1JYg.mp4/LVMLs2z1JYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LVMLs2z1JYg.m3u8/LVMLs2z1JYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LVMLs2z1JYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85588692", "sha": "c3e3a34ca73f880a2c8cf610db93e7cb0977bccf", "translated_description": "The mechanics of a simple leveraged buy-out", "image_url": "https://img.youtube.com/vi/LVMLs2z1JYg/hqdefault.jpg", "youtube_id": "LVMLs2z1JYg", "content_kind": "Video", "readable_id": "basic-leveraged-buyout--lbo"}], "twitter_url": "", "translated_description": "Private equity firms often borrow money (use leverage) to buy companies. This tutorial explains how they do it and pay the debt.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Private equity firms often borrow money (use leverage) to buy companies. This tutorial explains how they do it and pay the debt.", "x_pos": 0.0, "node_slug": "leveraged-buy-outs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax71c2d102", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs", "slug": "leveraged-buy-outs", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f5494d1a401105ffc430c0472ef01506bfc0504c", "standalone_title": "Leveraged buy-outs", "y_pos": 0.0, "current_revision_key": "f5494d1a401105ffc430c0472ef01506bfc0504c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial", "translated_standalone_title": "Bonds", "translated_title": "Bonds", "gplus_url": "", "id": "xb414631e", "old_key_name": "pjdB9V_H5zIolHuLKGbLUdKhj5M0792-NayRg-1f", "hide": false, "title": "Bonds", "child_data": [{"kind": "Video", "id": 87122224}, {"kind": "Video", "id": 1559307}, {"kind": "Video", "id": 24848}, {"kind": "Video", "id": 1595282}, {"kind": "Video", "id": 84536768}, {"kind": "Video", "id": 84536769}, {"kind": "Video", "id": 84536770}], "children": [{"translated_youtube_id": "rD25slnTqAE", "relative_url": "/video/corporate-debt-versus-traditional-mortgages", "has_questions": false, "keywords": "education, finance, capital, markets", "ka_url": "http://www.khanacademy.org/video/corporate-debt-versus-traditional-mortgages", "duration": 296, "translated_title": "Corporate debt versus traditional mortgages", "translated_description_html": "Understanding how most corporate debt is different than most personal mortgages", "id": "87122224", "description_html": "Understanding how most corporate debt is different than most personal mortgages", "title": "Corporate debt versus traditional mortgages", "progress_key": "v87122224", "edit_slug": "edit/v/87122224", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding how most corporate debt is different than most personal mortgages", "extra_properties": null, "node_slug": "v/corporate-debt-versus-traditional-mortgages", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-05-14T23:25:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rD25slnTqAE.mp4/rD25slnTqAE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rD25slnTqAE.mp4/rD25slnTqAE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rD25slnTqAE.m3u8/rD25slnTqAE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rD25slnTqAE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v87122224", "sha": "9fba2977dda51d0c4c5871e601f749fae7a29d92", "translated_description": "Understanding how most corporate debt is different than most personal mortgages", "image_url": "https://img.youtube.com/vi/rD25slnTqAE/hqdefault.jpg", "youtube_id": "rD25slnTqAE", "content_kind": "Video", "readable_id": "corporate-debt-versus-traditional-mortgages"}, {"translated_youtube_id": "Qh-M3_L4xYk", "relative_url": "/video/introduction-to-bonds", "has_questions": false, "keywords": "bonds, stocks, finance", "ka_url": "http://www.khanacademy.org/video/introduction-to-bonds", "duration": 541, "translated_title": "Introduction to bonds", "translated_description_html": "

What it means to buy a bond<\/p>", "id": "1559307", "description_html": "

What it means to buy a bond<\/p>", "title": "Introduction to bonds", "progress_key": "v1559307", "edit_slug": "edit/v/1559307", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "What it means to buy a bond", "extra_properties": {}, "node_slug": "v/introduction-to-bonds", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qh-M3_L4xYk.mp4/Qh-M3_L4xYk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qh-M3_L4xYk.mp4/Qh-M3_L4xYk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qh-M3_L4xYk.m3u8/Qh-M3_L4xYk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qh-M3_L4xYk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1559307", "sha": "82ffe163a92748a28d25defc54c2a10f2f48bfbb", "translated_description": "What it means to buy a bond", "image_url": "https://img.youtube.com/vi/Qh-M3_L4xYk/hqdefault.jpg", "youtube_id": "Qh-M3_L4xYk", "content_kind": "Video", "readable_id": "introduction-to-bonds"}, {"translated_youtube_id": "b_cAxh44aNQ", "relative_url": "/video/introduction-to-the-yield-curve", "has_questions": false, "keywords": "economics, yield, curve, treasury, bills, notes, bonds, interest", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-yield-curve", "duration": 596, "translated_title": "Introduction to the yield curve", "translated_description_html": "Introduction to the treasury yield curve.", "id": "24848", "description_html": "Introduction to the treasury yield curve.", "title": "Introduction to the yield curve", "progress_key": "v24848", "edit_slug": "edit/v/24848", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the treasury yield curve.", "extra_properties": null, "node_slug": "v/introduction-to-the-yield-curve", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b_cAxh44aNQ.mp4/b_cAxh44aNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b_cAxh44aNQ.mp4/b_cAxh44aNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b_cAxh44aNQ.m3u8/b_cAxh44aNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b_cAxh44aNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24848", "sha": "97e1231aad54049844d1635a00f9ea958c92fe2e", "translated_description": "Introduction to the treasury yield curve.", "image_url": "https://img.youtube.com/vi/b_cAxh44aNQ/hqdefault.jpg", "youtube_id": "b_cAxh44aNQ", "content_kind": "Video", "readable_id": "introduction-to-the-yield-curve"}, {"translated_youtube_id": "I7FDx4DPapw", "relative_url": "/video/relationship-between-bond-prices-and-interest-rates", "has_questions": false, "keywords": "bond, price, interest, rate", "ka_url": "http://www.khanacademy.org/video/relationship-between-bond-prices-and-interest-rates", "duration": 813, "translated_title": "Relationship between bond prices and interest rates", "translated_description_html": "

Why bond prices move inversely to changes in interest rate<\/p>", "id": "1595282", "description_html": "

Why bond prices move inversely to changes in interest rate<\/p>", "title": "Relationship between bond prices and interest rates", "progress_key": "v1595282", "edit_slug": "edit/v/1595282", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why bond prices move inversely to changes in interest rate", "extra_properties": {}, "node_slug": "v/relationship-between-bond-prices-and-interest-rates", "deleted": false, "backup_timestamp": "2013-09-28T00:26:44Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I7FDx4DPapw.mp4/I7FDx4DPapw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I7FDx4DPapw.mp4/I7FDx4DPapw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I7FDx4DPapw.m3u8/I7FDx4DPapw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I7FDx4DPapw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1595282", "sha": "2d407751266f49e58a8e95eea98977dec3b0aeb8", "translated_description": "Why bond prices move inversely to changes in interest rate", "image_url": "https://img.youtube.com/vi/I7FDx4DPapw/hqdefault.jpg", "youtube_id": "I7FDx4DPapw", "content_kind": "Video", "readable_id": "relationship-between-bond-prices-and-interest-rates"}, {"translated_youtube_id": "mS7t91U9Qqg", "relative_url": "/video/treasury-bond-prices-and-yields", "has_questions": false, "keywords": "treasury, yield, debt", "ka_url": "http://www.khanacademy.org/video/treasury-bond-prices-and-yields", "duration": 227, "translated_title": "Treasury bond prices and yields", "translated_description_html": "Why yields go down when prices go up", "id": "84536768", "description_html": "Why yields go down when prices go up", "title": "Treasury bond prices and yields", "progress_key": "v84536768", "edit_slug": "edit/v/84536768", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why yields go down when prices go up", "extra_properties": null, "node_slug": "v/treasury-bond-prices-and-yields", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-11T23:25:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mS7t91U9Qqg.mp4/mS7t91U9Qqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mS7t91U9Qqg.mp4/mS7t91U9Qqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mS7t91U9Qqg.m3u8/mS7t91U9Qqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mS7t91U9Qqg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84536768", "sha": "f429d9b2fa44b13af0dd982eec6c7149b1fff9b4", "translated_description": "Why yields go down when prices go up", "image_url": "https://img.youtube.com/vi/mS7t91U9Qqg/hqdefault.jpg", "youtube_id": "mS7t91U9Qqg", "content_kind": "Video", "readable_id": "treasury-bond-prices-and-yields"}, {"translated_youtube_id": "YdGZaqJZbGc", "relative_url": "/video/annual-interest-varying-with-debt-maturity", "has_questions": false, "keywords": "federal, reserve, yield, banking", "ka_url": "http://www.khanacademy.org/video/annual-interest-varying-with-debt-maturity", "duration": 190, "translated_title": "Annual interest varying with debt maturity", "translated_description_html": "Annual Interest Varying with Debt Maturity", "id": "84536769", "description_html": "Annual Interest Varying with Debt Maturity", "title": "Annual interest varying with debt maturity", "progress_key": "v84536769", "edit_slug": "edit/v/84536769", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Annual Interest Varying with Debt Maturity", "extra_properties": null, "node_slug": "v/annual-interest-varying-with-debt-maturity", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-05-11T23:25:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YdGZaqJZbGc.mp4/YdGZaqJZbGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YdGZaqJZbGc.mp4/YdGZaqJZbGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YdGZaqJZbGc.m3u8/YdGZaqJZbGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YdGZaqJZbGc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84536769", "sha": "911e85b6f2390de905413124fef1441905be568f", "translated_description": "Annual Interest Varying with Debt Maturity", "image_url": "https://img.youtube.com/vi/YdGZaqJZbGc/hqdefault.jpg", "youtube_id": "YdGZaqJZbGc", "content_kind": "Video", "readable_id": "annual-interest-varying-with-debt-maturity"}, {"translated_youtube_id": "SwB9Fq5VRZY", "relative_url": "/video/the-yield-curve", "has_questions": false, "keywords": "federal, reserve, yield, banking", "ka_url": "http://www.khanacademy.org/video/the-yield-curve", "duration": 256, "translated_title": "The yield curve", "translated_description_html": "The Yield Curve", "id": "84536770", "description_html": "The Yield Curve", "title": "The yield curve", "progress_key": "v84536770", "edit_slug": "edit/v/84536770", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Yield Curve", "extra_properties": null, "node_slug": "v/the-yield-curve", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-05-11T23:25:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.mp4/SwB9Fq5VRZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.mp4/SwB9Fq5VRZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.m3u8/SwB9Fq5VRZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SwB9Fq5VRZY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84536770", "sha": "b7b92b7e45d1e955464e39bb19a0347539258be2", "translated_description": "The Yield Curve", "image_url": "https://img.youtube.com/vi/SwB9Fq5VRZY/hqdefault.jpg", "youtube_id": "SwB9Fq5VRZY", "content_kind": "Video", "readable_id": "the-yield-curve"}], "twitter_url": "", "translated_description": "Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy.", "x_pos": 0.0, "node_slug": "bonds-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb414631e", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial", "slug": "bonds-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "e7c69bbdca64f1979a95d7a875869cc74aee9129", "standalone_title": "Bonds", "y_pos": 0.0, "current_revision_key": "e7c69bbdca64f1979a95d7a875869cc74aee9129", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/stock-and-bonds/corp-bankruptcy-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/corp-bankruptcy-tutorial", "translated_standalone_title": "Corporate bankruptcy", "translated_title": "Corporate bankruptcy", "gplus_url": "", "id": "x3ad0a080", "old_key_name": "YW-7GUEKATYHuC9FaUaGsfDedo4r0FTow7m779zI", "hide": false, "title": "Corporate bankruptcy", "child_data": [{"kind": "Video", "id": 24838}, {"kind": "Video", "id": 24840}], "children": [{"translated_youtube_id": "-oW4M3vpuRM", "relative_url": "/video/chapter-7-bankruptcy-liquidation", "has_questions": false, "keywords": "bankruptcy, chapter, liquidation", "ka_url": "http://www.khanacademy.org/video/chapter-7-bankruptcy-liquidation", "duration": 680, "translated_title": "Chapter 7: Bankruptcy liquidation", "translated_description_html": "Introduction to bankruptcy liquidation (Chapter 7)", "id": "24838", "description_html": "Introduction to bankruptcy liquidation (Chapter 7)", "title": "Chapter 7: Bankruptcy liquidation", "progress_key": "v24838", "edit_slug": "edit/v/24838", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to bankruptcy liquidation (Chapter 7)", "extra_properties": null, "node_slug": "v/chapter-7-bankruptcy-liquidation", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.mp4/-oW4M3vpuRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.mp4/-oW4M3vpuRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oW4M3vpuRM.m3u8/-oW4M3vpuRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oW4M3vpuRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24838", "sha": "2fa6a1c18351133fb54c935bea5c9d6cf0ba471e", "translated_description": "Introduction to bankruptcy liquidation (Chapter 7)", "image_url": "https://img.youtube.com/vi/-oW4M3vpuRM/hqdefault.jpg", "youtube_id": "-oW4M3vpuRM", "content_kind": "Video", "readable_id": "chapter-7-bankruptcy-liquidation"}, {"translated_youtube_id": "mxVWyzzMOXM", "relative_url": "/video/chapter-11--bankruptcy-restructuring", "has_questions": false, "keywords": "chapter, 11, restructuring, bankruptcy", "ka_url": "http://www.khanacademy.org/video/chapter-11--bankruptcy-restructuring", "duration": 845, "translated_title": "Chapter 11: Bankruptcy restructuring", "translated_description_html": "Chapter 11: Restructuring through a bankruptcy", "id": "24840", "description_html": "Chapter 11: Restructuring through a bankruptcy", "title": "Chapter 11: Bankruptcy restructuring", "progress_key": "v24840", "edit_slug": "edit/v/24840", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chapter 11: Restructuring through a bankruptcy", "extra_properties": null, "node_slug": "v/chapter-11--bankruptcy-restructuring", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.mp4/mxVWyzzMOXM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.mp4/mxVWyzzMOXM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mxVWyzzMOXM.m3u8/mxVWyzzMOXM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mxVWyzzMOXM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24840", "sha": "ec3199be37a20e45e0466ed0249f1019b350008f", "translated_description": "Chapter 11: Restructuring through a bankruptcy", "image_url": "https://img.youtube.com/vi/mxVWyzzMOXM/hqdefault.jpg", "youtube_id": "mxVWyzzMOXM", "content_kind": "Video", "readable_id": "chapter-11--bankruptcy-restructuring"}], "twitter_url": "", "translated_description": "Anybody or anything (you can decide if a corporation is a person) can have trouble paying its debts. This tutorial walks through what happens to a corporation in these circumstances.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Anybody or anything (you can decide if a corporation is a person) can have trouble paying its debts. This tutorial walks through what happens to a corporation in these circumstances.", "x_pos": 0.0, "node_slug": "corp-bankruptcy-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ad0a080", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds/corp-bankruptcy-tutorial", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds/corp-bankruptcy-tutorial", "slug": "corp-bankruptcy-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a4d3376ff33661873dc98cca399e004e4eac409b", "standalone_title": "Corporate bankruptcy", "y_pos": 0.0, "current_revision_key": "a4d3376ff33661873dc98cca399e004e4eac409b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "stock-and-bonds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf81b84d6", "topic_page_url": "/economics-finance-domain/core-finance/stock-and-bonds", "extended_slug": "economics-finance-domain/core-finance/stock-and-bonds", "slug": "stock-and-bonds", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3a055e04f962c773eb7a939c23476fc58888b16a", "standalone_title": "Stock basics", "y_pos": 0.0, "current_revision_key": "3a055e04f962c773eb7a939c23476fc58888b16a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial", "translated_standalone_title": "Investment vehicles", "translated_title": "Investment vehicles, insurance and retirement", "gplus_url": "", "id": "x7568a183", "old_key_name": "Dc1o266nshpqKSiJAaibla9t4f_BMvmWaolcR7EP", "hide": false, "title": "Investment vehicles, insurance and retirement", "child_data": [{"kind": "Topic", "id": "x9b359511"}, {"kind": "Topic", "id": "x41950189"}, {"kind": "Topic", "id": "x7473dee3"}, {"kind": "Topic", "id": "x02a1339d"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds", "translated_standalone_title": "Mutual funds", "translated_title": "Mutual funds and ETFs", "gplus_url": "", "id": "x9b359511", "old_key_name": "L7kMYmP77H2E1dY4JhHlbZoymao97AdY27A5JR2W", "hide": false, "title": "Mutual funds and ETFs", "child_data": [{"kind": "Video", "id": 65171993}, {"kind": "Video", "id": 65171994}, {"kind": "Video", "id": 65171995}, {"kind": "Video", "id": 65171996}, {"kind": "Video", "id": 184517740}, {"kind": "Video", "id": 24925}], "children": [{"translated_youtube_id": "DzYwB3uSU-c", "relative_url": "/video/open-ended-mutual-fund--part-1", "has_questions": false, "keywords": "Open, Ended, Mutual, Fund", "ka_url": "http://www.khanacademy.org/video/open-ended-mutual-fund--part-1", "duration": 242, "translated_title": "Open-ended mutual fund (part 1)", "translated_description_html": "Introduction to Open-Ended Mutual Funds", "id": "65171993", "description_html": "Introduction to Open-Ended Mutual Funds", "title": "Open-ended mutual fund (part 1)", "progress_key": "v65171993", "edit_slug": "edit/v/65171993", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to Open-Ended Mutual Funds", "extra_properties": null, "node_slug": "v/open-ended-mutual-fund--part-1", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DzYwB3uSU-c.mp4/DzYwB3uSU-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DzYwB3uSU-c.mp4/DzYwB3uSU-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DzYwB3uSU-c.m3u8/DzYwB3uSU-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DzYwB3uSU-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171993", "sha": "467f94cce8e3c3be7ad90db7c92f5718eec55ebb", "translated_description": "Introduction to Open-Ended Mutual Funds", "image_url": "https://img.youtube.com/vi/DzYwB3uSU-c/hqdefault.jpg", "youtube_id": "DzYwB3uSU-c", "content_kind": "Video", "readable_id": "open-ended-mutual-fund--part-1"}, {"translated_youtube_id": "nW1rxuQft1o", "relative_url": "/video/open-end-mutual-fund-redemptions", "has_questions": false, "keywords": "mutual, fund, finance", "ka_url": "http://www.khanacademy.org/video/open-end-mutual-fund-redemptions", "duration": 349, "translated_title": "Open-end mutual fund redemptions", "translated_description_html": "Understanding the mechanics of an open end mutual fund a bit better", "id": "65171994", "description_html": "Understanding the mechanics of an open end mutual fund a bit better", "title": "Open-end mutual fund redemptions", "progress_key": "v65171994", "edit_slug": "edit/v/65171994", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the mechanics of an open end mutual fund a bit better", "extra_properties": null, "node_slug": "v/open-end-mutual-fund-redemptions", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nW1rxuQft1o.mp4/nW1rxuQft1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nW1rxuQft1o.mp4/nW1rxuQft1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nW1rxuQft1o.m3u8/nW1rxuQft1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nW1rxuQft1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171994", "sha": "8e5bd4556e31ee30a08274fd5f17d6454bc8ce4a", "translated_description": "Understanding the mechanics of an open end mutual fund a bit better", "image_url": "https://img.youtube.com/vi/nW1rxuQft1o/hqdefault.jpg", "youtube_id": "nW1rxuQft1o", "content_kind": "Video", "readable_id": "open-end-mutual-fund-redemptions"}, {"translated_youtube_id": "VpVu25KhozQ", "relative_url": "/video/closed-end-mutual-funds", "has_questions": false, "keywords": "finance, investing", "ka_url": "http://www.khanacademy.org/video/closed-end-mutual-funds", "duration": 292, "translated_title": "Closed-end mutual funds", "translated_description_html": "Comparing closed-end and open-ended mutual funds", "id": "65171995", "description_html": "Comparing closed-end and open-ended mutual funds", "title": "Closed-end mutual funds", "progress_key": "v65171995", "edit_slug": "edit/v/65171995", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing closed-end and open-ended mutual funds", "extra_properties": null, "node_slug": "v/closed-end-mutual-funds", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VpVu25KhozQ.mp4/VpVu25KhozQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VpVu25KhozQ.mp4/VpVu25KhozQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VpVu25KhozQ.m3u8/VpVu25KhozQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VpVu25KhozQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171995", "sha": "bd56a9c4231db5b82e3134b88df7a451c0d48e2c", "translated_description": "Comparing closed-end and open-ended mutual funds", "image_url": "https://img.youtube.com/vi/VpVu25KhozQ/hqdefault.jpg", "youtube_id": "VpVu25KhozQ", "content_kind": "Video", "readable_id": "closed-end-mutual-funds"}, {"translated_youtube_id": "SFdsY9Rdh6w", "relative_url": "/video/exchange-traded-funds--etfs", "has_questions": false, "keywords": "ETFs", "ka_url": "http://www.khanacademy.org/video/exchange-traded-funds--etfs", "duration": 302, "translated_title": "Exchange traded funds (ETFs)", "translated_description_html": "Comparing ETF's, open-end, and closed-end funds", "id": "65171996", "description_html": "Comparing ETF's, open-end, and closed-end funds", "title": "Exchange traded funds (ETFs)", "progress_key": "v65171996", "edit_slug": "edit/v/65171996", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing ETF's, open-end, and closed-end funds", "extra_properties": null, "node_slug": "v/exchange-traded-funds--etfs", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.mp4/SFdsY9Rdh6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.mp4/SFdsY9Rdh6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.m3u8/SFdsY9Rdh6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SFdsY9Rdh6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171996", "sha": "9cd59923965d45028e93b834260e8d816baa6ff9", "translated_description": "Comparing ETF's, open-end, and closed-end funds", "image_url": "https://img.youtube.com/vi/SFdsY9Rdh6w/hqdefault.jpg", "youtube_id": "SFdsY9Rdh6w", "content_kind": "Video", "readable_id": "exchange-traded-funds--etfs"}, {"translated_youtube_id": "zqRxV9ICn4I", "relative_url": "/video/open-ended-mutual-funds", "has_questions": false, "keywords": "finance, economics, investing", "ka_url": "http://www.khanacademy.org/video/open-ended-mutual-funds", "duration": 597, "translated_title": "Open-ended mutual funds", "translated_description_html": "

Mutual fund basic<\/p>", "id": "184517740", "description_html": "

Mutual fund basic<\/p>", "title": "Open-ended mutual funds", "progress_key": "v184517740", "edit_slug": "edit/v/184517740", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mutual fund basic", "extra_properties": {}, "node_slug": "v/open-ended-mutual-funds", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-08-02T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zqRxV9ICn4I.mp4/zqRxV9ICn4I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zqRxV9ICn4I.mp4/zqRxV9ICn4I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zqRxV9ICn4I.m3u8/zqRxV9ICn4I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zqRxV9ICn4I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v184517740", "sha": "e16bd5062c4f37cbb1f059d48e04276af1e82950", "translated_description": "Mutual fund basic", "image_url": "https://img.youtube.com/vi/zqRxV9ICn4I/hqdefault.jpg", "youtube_id": "zqRxV9ICn4I", "content_kind": "Video", "readable_id": "open-ended-mutual-funds"}, {"translated_youtube_id": "5UVpLPtgdF4", "relative_url": "/video/ponzi-schemes", "has_questions": false, "keywords": "Ponzi, Schemes, marquee", "ka_url": "http://www.khanacademy.org/video/ponzi-schemes", "duration": 702, "translated_title": "Ponzi schemes", "translated_description_html": "Ponzi Schemes", "id": "24925", "description_html": "Ponzi Schemes", "title": "Ponzi schemes", "progress_key": "v24925", "edit_slug": "edit/v/24925", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ponzi Schemes", "extra_properties": null, "node_slug": "v/ponzi-schemes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5UVpLPtgdF4.mp4/5UVpLPtgdF4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5UVpLPtgdF4.mp4/5UVpLPtgdF4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5UVpLPtgdF4.m3u8/5UVpLPtgdF4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5UVpLPtgdF4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24925", "sha": "6020d841b2184e27a8d2004849eff84104304e24", "translated_description": "Ponzi Schemes", "image_url": "https://img.youtube.com/vi/5UVpLPtgdF4/hqdefault.jpg", "youtube_id": "5UVpLPtgdF4", "content_kind": "Video", "readable_id": "ponzi-schemes"}], "twitter_url": "", "translated_description": "If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different.", "x_pos": 0.0, "node_slug": "mutual-funds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9b359511", "topic_page_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds", "extended_slug": "economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds", "slug": "mutual-funds", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ee6b7a34ded67dcf811fa37daf821071fae7cda6", "standalone_title": "Mutual funds", "y_pos": 0.0, "current_revision_key": "ee6b7a34ded67dcf811fa37daf821071fae7cda6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks", "translated_standalone_title": "Retirement accounts: IRAs and 401ks", "translated_title": "Retirement accounts: IRAs and 401ks", "gplus_url": "", "id": "x41950189", "old_key_name": "LmHyIwAvEfb9PiJVzeMMzUjoHrHnj5pV3WO88w2V", "hide": false, "title": "Retirement accounts: IRAs and 401ks", "child_data": [{"kind": "Video", "id": 1644551}, {"kind": "Video", "id": 1626784}, {"kind": "Video", "id": 8187381}], "children": [{"translated_youtube_id": "UV8kgqk_DAY", "relative_url": "/video/traditional-iras", "has_questions": false, "keywords": "IRA, retirement, investment", "ka_url": "http://www.khanacademy.org/video/traditional-iras", "duration": 822, "translated_title": "Traditional IRAs", "translated_description_html": "

Introduction to traditional IRA's (Individual Retirement Accounts)<\/p>", "id": "1644551", "description_html": "

Introduction to traditional IRA's (Individual Retirement Accounts)<\/p>", "title": "Traditional IRAs", "progress_key": "v1644551", "edit_slug": "edit/v/1644551", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to traditional IRA's (Individual Retirement Accounts)", "extra_properties": {}, "node_slug": "v/traditional-iras", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UV8kgqk_DAY.mp4/UV8kgqk_DAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UV8kgqk_DAY.mp4/UV8kgqk_DAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UV8kgqk_DAY.m3u8/UV8kgqk_DAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UV8kgqk_DAY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1644551", "sha": "e234fe2f13b2df490ef67dcdbb5c94349bdaa3cc", "translated_description": "Introduction to traditional IRA's (Individual Retirement Accounts)", "image_url": "https://img.youtube.com/vi/UV8kgqk_DAY/hqdefault.jpg", "youtube_id": "UV8kgqk_DAY", "content_kind": "Video", "readable_id": "traditional-iras"}, {"translated_youtube_id": "th06SCNNZ60", "relative_url": "/video/roth-iras", "has_questions": false, "keywords": "Roth, IRA", "ka_url": "http://www.khanacademy.org/video/roth-iras", "duration": 1009, "translated_title": "Roth IRAs", "translated_description_html": "

Introduction to Roth IRA's<\/p>", "id": "1626784", "description_html": "

Introduction to Roth IRA's<\/p>", "title": "Roth IRAs", "progress_key": "v1626784", "edit_slug": "edit/v/1626784", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to Roth IRA's", "extra_properties": {}, "node_slug": "v/roth-iras", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-02-20T16:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/th06SCNNZ60.mp4/th06SCNNZ60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/th06SCNNZ60.mp4/th06SCNNZ60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/th06SCNNZ60.m3u8/th06SCNNZ60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=th06SCNNZ60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1626784", "sha": "74e821acfd72ea936ea0fed110181398d9afbd48", "translated_description": "Introduction to Roth IRA's", "image_url": "https://img.youtube.com/vi/th06SCNNZ60/hqdefault.jpg", "youtube_id": "th06SCNNZ60", "content_kind": "Video", "readable_id": "roth-iras"}, {"translated_youtube_id": "2zfdtmlMNDs", "relative_url": "/video/401-k-s", "has_questions": false, "keywords": "401k, IRA, Roth", "ka_url": "http://www.khanacademy.org/video/401-k-s", "duration": 557, "translated_title": "401(k)s", "translated_description_html": "

401(k)s (and how they compare to IRAs)<\/p>", "id": "8187381", "description_html": "

401(k)s (and how they compare to IRAs)<\/p>", "title": "401(k)s", "progress_key": "v8187381", "edit_slug": "edit/v/8187381", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "401(k)s (and how they compare to IRAs)", "extra_properties": {}, "node_slug": "v/401-k-s", "deleted": false, "backup_timestamp": "2013-09-27T22:20:39Z", "date_added": "2011-02-20T16:42:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2zfdtmlMNDs.mp4/2zfdtmlMNDs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2zfdtmlMNDs.mp4/2zfdtmlMNDs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2zfdtmlMNDs.m3u8/2zfdtmlMNDs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2zfdtmlMNDs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187381", "sha": "dac126c484049591669ac77997020cdaf35ee852", "translated_description": "401(k)s (and how they compare to IRAs)", "image_url": "https://img.youtube.com/vi/2zfdtmlMNDs/hqdefault.jpg", "youtube_id": "2zfdtmlMNDs", "content_kind": "Video", "readable_id": "401-k-s"}], "twitter_url": "", "translated_description": "The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks.", "x_pos": 0.0, "node_slug": "ira-401ks", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax41950189", "topic_page_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks", "extended_slug": "economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks", "slug": "ira-401ks", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "34f4365e16546c8e49b035d5166f6c9b252f1546", "standalone_title": "Retirement accounts: IRAs and 401ks", "y_pos": 0.0, "current_revision_key": "34f4365e16546c8e49b035d5166f6c9b252f1546", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance", "translated_standalone_title": "Life insurance", "translated_title": "Life insurance", "gplus_url": "", "id": "x7473dee3", "old_key_name": "9lJyfFJqHg-xz5o_lLXPucwC6spFwYsdssfPN6mA", "hide": false, "title": "Life insurance", "child_data": [{"kind": "Video", "id": 184517739}, {"kind": "Video", "id": 109588139}, {"kind": "Video", "id": 109588138}, {"kind": "Video", "id": 65229378}], "children": [{"translated_youtube_id": "r4NxMVZf6s4", "relative_url": "/video/term-and-whole-life", "has_questions": false, "keywords": "insurance, life, term, whole, finance, investing", "ka_url": "http://www.khanacademy.org/video/term-and-whole-life", "duration": 899, "translated_title": "Term and whole life", "translated_description_html": "The difference between term and whole life insurance", "id": "184517739", "description_html": "The difference between term and whole life insurance", "title": "Term and whole life", "progress_key": "v184517739", "edit_slug": "edit/v/184517739", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The difference between term and whole life insurance", "extra_properties": null, "node_slug": "v/term-and-whole-life", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-02T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.mp4/r4NxMVZf6s4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.mp4/r4NxMVZf6s4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.m3u8/r4NxMVZf6s4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r4NxMVZf6s4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v184517739", "sha": "00765531095114c3fee900c9e4c3b55cc465acc0", "translated_description": "The difference between term and whole life insurance", "image_url": "https://img.youtube.com/vi/r4NxMVZf6s4/hqdefault.jpg", "youtube_id": "r4NxMVZf6s4", "content_kind": "Video", "readable_id": "term-and-whole-life"}, {"translated_youtube_id": "uGpLS_pr7oc", "relative_url": "/video/term-and-whole-life-insurance-policies", "has_questions": false, "keywords": "personal, finance", "ka_url": "http://www.khanacademy.org/video/term-and-whole-life-insurance-policies", "duration": 731, "translated_title": "Term and whole life insurance policies", "translated_description_html": "

Overview of the difference between term and whole life insurance policies<\/p>", "id": "109588139", "description_html": "

Overview of the difference between term and whole life insurance policies<\/p>", "title": "Term and whole life insurance policies", "progress_key": "v109588139", "edit_slug": "edit/v/109588139", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of the difference between term and whole life insurance policies", "extra_properties": {}, "node_slug": "v/term-and-whole-life-insurance-policies", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2011-06-07T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uGpLS_pr7oc.mp4/uGpLS_pr7oc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uGpLS_pr7oc.mp4/uGpLS_pr7oc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uGpLS_pr7oc.m3u8/uGpLS_pr7oc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uGpLS_pr7oc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588139", "sha": "f64ec0fac9179750f8b10286797465ce71cfd9fa", "translated_description": "Overview of the difference between term and whole life insurance policies", "image_url": "https://img.youtube.com/vi/uGpLS_pr7oc/hqdefault.jpg", "youtube_id": "uGpLS_pr7oc", "content_kind": "Video", "readable_id": "term-and-whole-life-insurance-policies"}, {"translated_youtube_id": "MYkR32QOdg0", "relative_url": "/video/term-and-whole-life-insurance-policies-2", "has_questions": false, "keywords": "life, insurance", "ka_url": "http://www.khanacademy.org/video/term-and-whole-life-insurance-policies-2", "duration": 157, "translated_title": "Term and whole life insurance policies 2", "translated_description_html": "What happens to the cash payout in a whole life policy when someone dies?", "id": "109588138", "description_html": "What happens to the cash payout in a whole life policy when someone dies?", "title": "Term and whole life insurance policies 2", "progress_key": "v109588138", "edit_slug": "edit/v/109588138", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What happens to the cash payout in a whole life policy when someone dies?", "extra_properties": null, "node_slug": "v/term-and-whole-life-insurance-policies-2", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-06-07T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MYkR32QOdg0.mp4/MYkR32QOdg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MYkR32QOdg0.mp4/MYkR32QOdg0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MYkR32QOdg0.m3u8/MYkR32QOdg0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MYkR32QOdg0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588138", "sha": "3c0b6ed2d2b8ca31ae849d94cb4deb13b09a092c", "translated_description": "What happens to the cash payout in a whole life policy when someone dies?", "image_url": "https://img.youtube.com/vi/MYkR32QOdg0/hqdefault.jpg", "youtube_id": "MYkR32QOdg0", "content_kind": "Video", "readable_id": "term-and-whole-life-insurance-policies-2"}, {"translated_youtube_id": "NSSoMafbBqQ", "relative_url": "/video/term-life-insurance-and-death-probability", "has_questions": false, "keywords": "term, life, insurance", "ka_url": "http://www.khanacademy.org/video/term-life-insurance-and-death-probability", "duration": 262, "translated_title": "Term life insurance and death probability", "translated_description_html": "Understanding an insurance company's sense of my chances of dying.", "id": "65229378", "description_html": "Understanding an insurance company's sense of my chances of dying.", "title": "Term life insurance and death probability", "progress_key": "v65229378", "edit_slug": "edit/v/65229378", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding an insurance company's sense of my chances of dying.", "extra_properties": null, "node_slug": "v/term-life-insurance-and-death-probability", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:27:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.mp4/NSSoMafbBqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.mp4/NSSoMafbBqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NSSoMafbBqQ.m3u8/NSSoMafbBqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NSSoMafbBqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65229378", "sha": "05679b6d032c9f0e4a5700fe71062b1a7a688314", "translated_description": "Understanding an insurance company's sense of my chances of dying.", "image_url": "https://img.youtube.com/vi/NSSoMafbBqQ/hqdefault.jpg", "youtube_id": "NSSoMafbBqQ", "content_kind": "Video", "readable_id": "term-life-insurance-and-death-probability"}], "twitter_url": "", "translated_description": "It is a bit of a downer to think about, but we are all going to die. Do we care what happens to our loved ones (if they really are \"loved\" than the answer is obvious). This tutorial walks us through the options to insure our families against losing us. The reason why we stuck it in the \"investment vehicles\" topic is because it can also be an investment that we can use before we die.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It is a bit of a downer to think about, but we are all going to die. Do we care what happens to our loved ones (if they really are \"loved\" than the answer is obvious). This tutorial walks us through the options to insure our families against losing us. The reason why we stuck it in the \"investment vehicles\" topic is because it can also be an investment that we can use before we die.", "x_pos": 0.0, "node_slug": "life-insurance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7473dee3", "topic_page_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance", "extended_slug": "economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance", "slug": "life-insurance", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "85e3c6c9d1ee037c52ad1b45e448552fe4405c5d", "standalone_title": "Life insurance", "y_pos": 0.0, "current_revision_key": "85e3c6c9d1ee037c52ad1b45e448552fe4405c5d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds", "translated_standalone_title": "Hedge funds", "translated_title": "Hedge funds", "gplus_url": "", "id": "x02a1339d", "old_key_name": "9MNuGpgzheuGnxuMvPcTvwnRCoQt7ThvYch9PXMx", "hide": false, "title": "Hedge funds", "child_data": [{"kind": "Video", "id": 65171997}, {"kind": "Video", "id": 65171998}, {"kind": "Video", "id": 65171999}, {"kind": "Video", "id": 65172000}, {"kind": "Video", "id": 84546654}, {"kind": "Video", "id": 84546655}, {"kind": "Video", "id": 84546656}], "children": [{"translated_youtube_id": "Qb7tbWuDc2U", "relative_url": "/video/hedge-funds-intro", "has_questions": false, "keywords": "hedge, fund, mutual", "ka_url": "http://www.khanacademy.org/video/hedge-funds-intro", "duration": 212, "translated_title": "Hedge funds intro", "translated_description_html": "Overview of how hedge funds are different than mutual funds", "id": "65171997", "description_html": "Overview of how hedge funds are different than mutual funds", "title": "Hedge funds intro", "progress_key": "v65171997", "edit_slug": "edit/v/65171997", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of how hedge funds are different than mutual funds", "extra_properties": null, "node_slug": "v/hedge-funds-intro", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qb7tbWuDc2U.mp4/Qb7tbWuDc2U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qb7tbWuDc2U.mp4/Qb7tbWuDc2U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qb7tbWuDc2U.m3u8/Qb7tbWuDc2U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qb7tbWuDc2U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171997", "sha": "b0d79e21178a89db8446db3e08b140483233baa1", "translated_description": "Overview of how hedge funds are different than mutual funds", "image_url": "https://img.youtube.com/vi/Qb7tbWuDc2U/hqdefault.jpg", "youtube_id": "Qb7tbWuDc2U", "content_kind": "Video", "readable_id": "hedge-funds-intro"}, {"translated_youtube_id": "EX1eFeaTiYM", "relative_url": "/video/hedge-fund-structure-and-fees", "has_questions": false, "keywords": "hedge, fund, accounting", "ka_url": "http://www.khanacademy.org/video/hedge-fund-structure-and-fees", "duration": 411, "translated_title": "Hedge fund structure and fees", "translated_description_html": "Understanding how hedge funds are structured and how the managers get paid", "id": "65171998", "description_html": "Understanding how hedge funds are structured and how the managers get paid", "title": "Hedge fund structure and fees", "progress_key": "v65171998", "edit_slug": "edit/v/65171998", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how hedge funds are structured and how the managers get paid", "extra_properties": null, "node_slug": "v/hedge-fund-structure-and-fees", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EX1eFeaTiYM.mp4/EX1eFeaTiYM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EX1eFeaTiYM.mp4/EX1eFeaTiYM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EX1eFeaTiYM.m3u8/EX1eFeaTiYM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EX1eFeaTiYM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171998", "sha": "c82d1ec3afedb9270bdeef002a5bdc144f502098", "translated_description": "Understanding how hedge funds are structured and how the managers get paid", "image_url": "https://img.youtube.com/vi/EX1eFeaTiYM/hqdefault.jpg", "youtube_id": "EX1eFeaTiYM", "content_kind": "Video", "readable_id": "hedge-fund-structure-and-fees"}, {"translated_youtube_id": "vD2WJTIEVv0", "relative_url": "/video/are-hedge-funds-bad", "has_questions": false, "keywords": "risk, hedge, fund", "ka_url": "http://www.khanacademy.org/video/are-hedge-funds-bad", "duration": 470, "translated_title": "Are hedge funds bad?", "translated_description_html": "Thinking about how hedge funds are different from other institutions", "id": "65171999", "description_html": "Thinking about how hedge funds are different from other institutions", "title": "Are hedge funds bad?", "progress_key": "v65171999", "edit_slug": "edit/v/65171999", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about how hedge funds are different from other institutions", "extra_properties": null, "node_slug": "v/are-hedge-funds-bad", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vD2WJTIEVv0.mp4/vD2WJTIEVv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vD2WJTIEVv0.mp4/vD2WJTIEVv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vD2WJTIEVv0.m3u8/vD2WJTIEVv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vD2WJTIEVv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65171999", "sha": "a2f9e779fe29d1665b4b253eee80e923b8b30013", "translated_description": "Thinking about how hedge funds are different from other institutions", "image_url": "https://img.youtube.com/vi/vD2WJTIEVv0/hqdefault.jpg", "youtube_id": "vD2WJTIEVv0", "content_kind": "Video", "readable_id": "are-hedge-funds-bad"}, {"translated_youtube_id": "bLQBbA8yh7c", "relative_url": "/video/hedge-funds--venture-capital--and-private-equity", "has_questions": false, "keywords": "hedge, fund, private, equity, venture, capital, finance", "ka_url": "http://www.khanacademy.org/video/hedge-funds--venture-capital--and-private-equity", "duration": 174, "translated_title": "Hedge funds, venture capital, and private equity", "translated_description_html": "Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors", "id": "65172000", "description_html": "Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors", "title": "Hedge funds, venture capital, and private equity", "progress_key": "v65172000", "edit_slug": "edit/v/65172000", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors", "extra_properties": null, "node_slug": "v/hedge-funds--venture-capital--and-private-equity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-19T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bLQBbA8yh7c.mp4/bLQBbA8yh7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bLQBbA8yh7c.mp4/bLQBbA8yh7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bLQBbA8yh7c.m3u8/bLQBbA8yh7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bLQBbA8yh7c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v65172000", "sha": "e2f8a1467e2f8d88a8195f19175811b49214c606", "translated_description": "Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors", "image_url": "https://img.youtube.com/vi/bLQBbA8yh7c/hqdefault.jpg", "youtube_id": "bLQBbA8yh7c", "content_kind": "Video", "readable_id": "hedge-funds--venture-capital--and-private-equity"}, {"translated_youtube_id": "nTco9qQ2elM", "relative_url": "/video/hedge-fund-strategies---long-short--1", "has_questions": false, "keywords": "finance, hedge, fund", "ka_url": "http://www.khanacademy.org/video/hedge-fund-strategies---long-short--1", "duration": 215, "translated_title": "Hedge fund strategies: Long short 1", "translated_description_html": "Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)", "id": "84546654", "description_html": "Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)", "title": "Hedge fund strategies: Long short 1", "progress_key": "v84546654", "edit_slug": "edit/v/84546654", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)", "extra_properties": null, "node_slug": "v/hedge-fund-strategies---long-short--1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-11T23:25:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nTco9qQ2elM.mp4/nTco9qQ2elM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nTco9qQ2elM.mp4/nTco9qQ2elM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nTco9qQ2elM.m3u8/nTco9qQ2elM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nTco9qQ2elM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84546654", "sha": "d65fe536e962ae1deb28544d16d4b2904fab6d64", "translated_description": "Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)", "image_url": "https://img.youtube.com/vi/nTco9qQ2elM/hqdefault.jpg", "youtube_id": "nTco9qQ2elM", "content_kind": "Video", "readable_id": "hedge-fund-strategies---long-short--1"}, {"translated_youtube_id": "5UUa0V-MAqI", "relative_url": "/video/hedge-fund-strategies---long-short--2", "has_questions": false, "keywords": "long, short, hedge, fund", "ka_url": "http://www.khanacademy.org/video/hedge-fund-strategies---long-short--2", "duration": 271, "translated_title": "Hedge fund strategies: Long short 2", "translated_description_html": "Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)", "id": "84546655", "description_html": "Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)", "title": "Hedge fund strategies: Long short 2", "progress_key": "v84546655", "edit_slug": "edit/v/84546655", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)", "extra_properties": null, "node_slug": "v/hedge-fund-strategies---long-short--2", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-05-11T23:25:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5UUa0V-MAqI.mp4/5UUa0V-MAqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5UUa0V-MAqI.mp4/5UUa0V-MAqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5UUa0V-MAqI.m3u8/5UUa0V-MAqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5UUa0V-MAqI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84546655", "sha": "18eca6a6ecb2957aada295a4449959b41a086594", "translated_description": "Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)", "image_url": "https://img.youtube.com/vi/5UUa0V-MAqI/hqdefault.jpg", "youtube_id": "5UUa0V-MAqI", "content_kind": "Video", "readable_id": "hedge-fund-strategies---long-short--2"}, {"translated_youtube_id": "3qP8OOr7pfI", "relative_url": "/video/hedge-fund-strategies---merger-arbitrage-1", "has_questions": false, "keywords": "finance, accounting, capital, markets", "ka_url": "http://www.khanacademy.org/video/hedge-fund-strategies---merger-arbitrage-1", "duration": 301, "translated_title": "Hedge fund strategies: Merger arbitrage 1", "translated_description_html": "Simple case of merger arbitrage when there is an all cash acquisition", "id": "84546656", "description_html": "Simple case of merger arbitrage when there is an all cash acquisition", "title": "Hedge fund strategies: Merger arbitrage 1", "progress_key": "v84546656", "edit_slug": "edit/v/84546656", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple case of merger arbitrage when there is an all cash acquisition", "extra_properties": null, "node_slug": "v/hedge-fund-strategies---merger-arbitrage-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-11T23:25:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3qP8OOr7pfI.mp4/3qP8OOr7pfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3qP8OOr7pfI.mp4/3qP8OOr7pfI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3qP8OOr7pfI.m3u8/3qP8OOr7pfI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3qP8OOr7pfI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84546656", "sha": "48a7fe408de46a4922d01f660d6a3e11e9fd47e8", "translated_description": "Simple case of merger arbitrage when there is an all cash acquisition", "image_url": "https://img.youtube.com/vi/3qP8OOr7pfI/hqdefault.jpg", "youtube_id": "3qP8OOr7pfI", "content_kind": "Video", "readable_id": "hedge-fund-strategies---merger-arbitrage-1"}], "twitter_url": "", "translated_description": "Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to \"hedge\" their exposure to the market (so they could, in theory, do well in an \"up\" or \"down\" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. \n\nThey are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from \"unsophisticated\" investors. Some use their flexibility to mitigate risk, other use it to amplify it.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to \"hedge\" their exposure to the market (so they could, in theory, do well in an \"up\" or \"down\" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. \n\nThey are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from \"unsophisticated\" investors. Some use their flexibility to mitigate risk, other use it to amplify it.", "x_pos": 0.0, "node_slug": "hedge-funds", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax02a1339d", "topic_page_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds", "extended_slug": "economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds", "slug": "hedge-funds", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6f92d520126b43cd3f620632f67df9bda4f3eb36", "standalone_title": "Hedge funds", "y_pos": 0.0, "current_revision_key": "6f92d520126b43cd3f620632f67df9bda4f3eb36", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "investment-vehicles-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7568a183", "topic_page_url": "/economics-finance-domain/core-finance/investment-vehicles-tutorial", "extended_slug": "economics-finance-domain/core-finance/investment-vehicles-tutorial", "slug": "investment-vehicles-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "64091b58ffd131d4d7e91eb828c0477a60c656d8", "standalone_title": "Investment vehicles", "y_pos": 0.0, "current_revision_key": "64091b58ffd131d4d7e91eb828c0477a60c656d8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking", "translated_standalone_title": "Money, banking and central banks", "translated_title": "Money, banking and central banks", "gplus_url": "", "id": "xc1e8c32f", "old_key_name": "KdSv4NF1-a3jtcmehHLCGu49S3uE7Z1QNzkW8pqu", "hide": false, "title": "Money, banking and central banks", "child_data": [{"kind": "Topic", "id": "xb83f15d3"}, {"kind": "Topic", "id": "x19673812"}, {"kind": "Topic", "id": "x0b27fe22"}, {"kind": "Topic", "id": "x06ee4311"}, {"kind": "Topic", "id": "xa59693c5"}, {"kind": "Topic", "id": "xdd28c02b"}, {"kind": "Topic", "id": "x0a1428a7"}, {"kind": "Topic", "id": "xa753311c"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/banking-and-money", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/banking-and-money", "translated_standalone_title": "Banking and Money", "translated_title": "Banking and money", "gplus_url": "", "id": "xb83f15d3", "old_key_name": "YcOAbEEViPjdZrZzOL9XA7z1B3u5Ew6t8NyTPAVh", "hide": false, "title": "Banking and money", "child_data": [{"kind": "Video", "id": 23868}, {"kind": "Video", "id": 23870}, {"kind": "Video", "id": 23872}, {"kind": "Video", "id": 23874}, {"kind": "Video", "id": 23876}, {"kind": "Video", "id": 23878}, {"kind": "Video", "id": 23880}, {"kind": "Video", "id": 23882}, {"kind": "Video", "id": 23884}, {"kind": "Video", "id": 23886}, {"kind": "Video", "id": 23888}, {"kind": "Video", "id": 23890}, {"kind": "Video", "id": 23892}, {"kind": "Video", "id": 23894}, {"kind": "Video", "id": 23896}, {"kind": "Video", "id": 23898}, {"kind": "Video", "id": 23900}, {"kind": "Video", "id": 23902}, {"kind": "Video", "id": 23904}, {"kind": "Video", "id": 23906}, {"kind": "Video", "id": 23908}, {"kind": "Video", "id": 23910}, {"kind": "Video", "id": 23912}, {"kind": "Video", "id": 23914}, {"kind": "Video", "id": 60049932}], "children": [{"translated_youtube_id": "E-HOz8T6tAo", "relative_url": "/video/banking-1", "has_questions": false, "keywords": "banking, money, credit, investment, savings", "ka_url": "http://www.khanacademy.org/video/banking-1", "duration": 709, "translated_title": "Banking 1", "translated_description_html": "Introduction to how banks make money and the value they (potentially) add to society.", "id": "23868", "description_html": "Introduction to how banks make money and the value they (potentially) add to society.", "title": "Banking 1", "progress_key": "v23868", "edit_slug": "edit/v/23868", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to how banks make money and the value they (potentially) add to society.", "extra_properties": null, "node_slug": "v/banking-1", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-02-20T16:30:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E-HOz8T6tAo.mp4/E-HOz8T6tAo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E-HOz8T6tAo.mp4/E-HOz8T6tAo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E-HOz8T6tAo.m3u8/E-HOz8T6tAo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E-HOz8T6tAo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23868", "sha": "cc34dd141c824a19824315612b1f403970c856b5", "translated_description": "Introduction to how banks make money and the value they (potentially) add to society.", "image_url": "https://img.youtube.com/vi/E-HOz8T6tAo/hqdefault.jpg", "youtube_id": "E-HOz8T6tAo", "content_kind": "Video", "readable_id": "banking-1"}, {"translated_youtube_id": "h3lMANILkw0", "relative_url": "/video/banking-2--a-bank-s-income-statement", "has_questions": false, "keywords": "income, statement, balance, sheet, bank, credit, debt, savings, deposits", "ka_url": "http://www.khanacademy.org/video/banking-2--a-bank-s-income-statement", "duration": 719, "translated_title": "Banking 2: A bank's income statement", "translated_description_html": "Introduction to the income statement of a bank (and to income statements in general).", "id": "23870", "description_html": "Introduction to the income statement of a bank (and to income statements in general).", "title": "Banking 2: A bank's income statement", "progress_key": "v23870", "edit_slug": "edit/v/23870", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the income statement of a bank (and to income statements in general).", "extra_properties": null, "node_slug": "v/banking-2--a-bank-s-income-statement", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h3lMANILkw0.mp4/h3lMANILkw0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h3lMANILkw0.mp4/h3lMANILkw0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h3lMANILkw0.m3u8/h3lMANILkw0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h3lMANILkw0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23870", "sha": "ecac548669d2dbeb852f2d657d101fc3e5241c52", "translated_description": "Introduction to the income statement of a bank (and to income statements in general).", "image_url": "https://img.youtube.com/vi/h3lMANILkw0/hqdefault.jpg", "youtube_id": "h3lMANILkw0", "content_kind": "Video", "readable_id": "banking-2--a-bank-s-income-statement"}, {"translated_youtube_id": "nH2-37rTA8U", "relative_url": "/video/banking-3--fractional-reserve-banking", "has_questions": false, "keywords": "fractional, reserve, banking, multiplier, effect, money, supply", "ka_url": "http://www.khanacademy.org/video/banking-3--fractional-reserve-banking", "duration": 708, "translated_title": "Banking 3: Fractional reserve banking", "translated_description_html": "Fractional reserve banking and the multiplier effect. Introduction to the money supply.", "id": "23872", "description_html": "Fractional reserve banking and the multiplier effect. Introduction to the money supply.", "title": "Banking 3: Fractional reserve banking", "progress_key": "v23872", "edit_slug": "edit/v/23872", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fractional reserve banking and the multiplier effect. Introduction to the money supply.", "extra_properties": null, "node_slug": "v/banking-3--fractional-reserve-banking", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nH2-37rTA8U.mp4/nH2-37rTA8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nH2-37rTA8U.mp4/nH2-37rTA8U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nH2-37rTA8U.m3u8/nH2-37rTA8U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nH2-37rTA8U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23872", "sha": "43cf383d25633260c551e31a098c9a7a734ea964", "translated_description": "Fractional reserve banking and the multiplier effect. Introduction to the money supply.", "image_url": "https://img.youtube.com/vi/nH2-37rTA8U/hqdefault.jpg", "youtube_id": "nH2-37rTA8U", "content_kind": "Video", "readable_id": "banking-3--fractional-reserve-banking"}, {"translated_youtube_id": "F7r7l1VG-Tw", "relative_url": "/video/banking-4--multiplier-effect-and-the-money-supply", "has_questions": false, "keywords": "money, multiplier, m0, m1, supply, banking, fed, reserve", "ka_url": "http://www.khanacademy.org/video/banking-4--multiplier-effect-and-the-money-supply", "duration": 667, "translated_title": "Banking 4: Multiplier effect and the money supply", "translated_description_html": "How \"money\" is created in a fractional reserve banking system. M0 and M1 definitions of the money suppy. The multiplier effect.", "id": "23874", "description_html": "How \"money\" is created in a fractional reserve banking system. M0 and M1 definitions of the money suppy. The multiplier effect.", "title": "Banking 4: Multiplier effect and the money supply", "progress_key": "v23874", "edit_slug": "edit/v/23874", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How \"money\" is created in a fractional reserve banking system. M0 and M1 definitions of the money suppy. The multiplier effect.", "extra_properties": null, "node_slug": "v/banking-4--multiplier-effect-and-the-money-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F7r7l1VG-Tw.mp4/F7r7l1VG-Tw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F7r7l1VG-Tw.mp4/F7r7l1VG-Tw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F7r7l1VG-Tw.m3u8/F7r7l1VG-Tw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F7r7l1VG-Tw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23874", "sha": "5aad4a555c09548a032ef0c6d207871cc4aa0397", "translated_description": "How \"money\" is created in a fractional reserve banking system. M0 and M1 definitions of the money suppy. The multiplier effect.", "image_url": "https://img.youtube.com/vi/F7r7l1VG-Tw/hqdefault.jpg", "youtube_id": "F7r7l1VG-Tw", "content_kind": "Video", "readable_id": "banking-4--multiplier-effect-and-the-money-supply"}, {"translated_youtube_id": "cNFLqhU4MN0", "relative_url": "/video/banking-5--introduction-to-bank-notes", "has_questions": false, "keywords": "federal, reserve, bank, notes, cash, currency", "ka_url": "http://www.khanacademy.org/video/banking-5--introduction-to-bank-notes", "duration": 529, "translated_title": "Banking 5: Introduction to bank notes", "translated_description_html": "Introduction to bank notes (which you are more familiar with than you realize).", "id": "23876", "description_html": "Introduction to bank notes (which you are more familiar with than you realize).", "title": "Banking 5: Introduction to bank notes", "progress_key": "v23876", "edit_slug": "edit/v/23876", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to bank notes (which you are more familiar with than you realize).", "extra_properties": null, "node_slug": "v/banking-5--introduction-to-bank-notes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNFLqhU4MN0.mp4/cNFLqhU4MN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNFLqhU4MN0.mp4/cNFLqhU4MN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNFLqhU4MN0.m3u8/cNFLqhU4MN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cNFLqhU4MN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23876", "sha": "333bf9ac8af488eccfffdba0e9b0011eb2a94752", "translated_description": "Introduction to bank notes (which you are more familiar with than you realize).", "image_url": "https://img.youtube.com/vi/cNFLqhU4MN0/hqdefault.jpg", "youtube_id": "cNFLqhU4MN0", "content_kind": "Video", "readable_id": "banking-5--introduction-to-bank-notes"}, {"translated_youtube_id": "IOzZVmgK3IM", "relative_url": "/video/banking-6--bank-notes-and-checks", "has_questions": false, "keywords": "banking, currency, checks, gold, finance", "ka_url": "http://www.khanacademy.org/video/banking-6--bank-notes-and-checks", "duration": 662, "translated_title": "Banking 6: Bank notes and checks", "translated_description_html": "More on how bank notes and checks can be used.", "id": "23878", "description_html": "More on how bank notes and checks can be used.", "title": "Banking 6: Bank notes and checks", "progress_key": "v23878", "edit_slug": "edit/v/23878", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on how bank notes and checks can be used.", "extra_properties": null, "node_slug": "v/banking-6--bank-notes-and-checks", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.mp4/IOzZVmgK3IM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.mp4/IOzZVmgK3IM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.m3u8/IOzZVmgK3IM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IOzZVmgK3IM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23878", "sha": "260538a86f29a7e95cc36556b6d4ba80f6917053", "translated_description": "More on how bank notes and checks can be used.", "image_url": "https://img.youtube.com/vi/IOzZVmgK3IM/hqdefault.jpg", "youtube_id": "IOzZVmgK3IM", "content_kind": "Video", "readable_id": "banking-6--bank-notes-and-checks"}, {"translated_youtube_id": "On3c86V5A_E", "relative_url": "/video/banking-7--giving-out-loans-without-giving-out-gold", "has_questions": false, "keywords": "banking, loans, finance, economics", "ka_url": "http://www.khanacademy.org/video/banking-7--giving-out-loans-without-giving-out-gold", "duration": 509, "translated_title": "Banking 7: Giving out loans without giving out gold", "translated_description_html": "How banks can give out loans without ever giving out gold.", "id": "23880", "description_html": "How banks can give out loans without ever giving out gold.", "title": "Banking 7: Giving out loans without giving out gold", "progress_key": "v23880", "edit_slug": "edit/v/23880", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How banks can give out loans without ever giving out gold.", "extra_properties": null, "node_slug": "v/banking-7--giving-out-loans-without-giving-out-gold", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/On3c86V5A_E.mp4/On3c86V5A_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/On3c86V5A_E.mp4/On3c86V5A_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/On3c86V5A_E.m3u8/On3c86V5A_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=On3c86V5A_E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23880", "sha": "297ba7496302605f5fb0748a4ea118a3f503244f", "translated_description": "How banks can give out loans without ever giving out gold.", "image_url": "https://img.youtube.com/vi/On3c86V5A_E/hqdefault.jpg", "youtube_id": "On3c86V5A_E", "content_kind": "Video", "readable_id": "banking-7--giving-out-loans-without-giving-out-gold"}, {"translated_youtube_id": "VP3nKDUw1jA", "relative_url": "/video/banking-8--reserve-ratios", "has_questions": false, "keywords": "reserve, requirement, banking", "ka_url": "http://www.khanacademy.org/video/banking-8--reserve-ratios", "duration": 649, "translated_title": "Banking 8: Reserve ratios", "translated_description_html": "How reserve requirements limit how much lending a bank can do.", "id": "23882", "description_html": "How reserve requirements limit how much lending a bank can do.", "title": "Banking 8: Reserve ratios", "progress_key": "v23882", "edit_slug": "edit/v/23882", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How reserve requirements limit how much lending a bank can do.", "extra_properties": null, "node_slug": "v/banking-8--reserve-ratios", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VP3nKDUw1jA.mp4/VP3nKDUw1jA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VP3nKDUw1jA.mp4/VP3nKDUw1jA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VP3nKDUw1jA.m3u8/VP3nKDUw1jA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VP3nKDUw1jA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23882", "sha": "e1c27b76f2a8672285392a4c4503ccba0b623a3b", "translated_description": "How reserve requirements limit how much lending a bank can do.", "image_url": "https://img.youtube.com/vi/VP3nKDUw1jA/hqdefault.jpg", "youtube_id": "VP3nKDUw1jA", "content_kind": "Video", "readable_id": "banking-8--reserve-ratios"}, {"translated_youtube_id": "DFPBdbx0vFc", "relative_url": "/video/banking-9--more-on-reserve-ratios--bad-sound", "has_questions": false, "keywords": "banking, reserve, ratio, lending", "ka_url": "http://www.khanacademy.org/video/banking-9--more-on-reserve-ratios--bad-sound", "duration": 532, "translated_title": "Banking 9: More on reserve ratios (bad sound)", "translated_description_html": "Seeing how reserve ratios limit how much lending I can do.", "id": "23884", "description_html": "Seeing how reserve ratios limit how much lending I can do.", "title": "Banking 9: More on reserve ratios (bad sound)", "progress_key": "v23884", "edit_slug": "edit/v/23884", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Seeing how reserve ratios limit how much lending I can do.", "extra_properties": null, "node_slug": "v/banking-9--more-on-reserve-ratios--bad-sound", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DFPBdbx0vFc.mp4/DFPBdbx0vFc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DFPBdbx0vFc.mp4/DFPBdbx0vFc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DFPBdbx0vFc.m3u8/DFPBdbx0vFc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DFPBdbx0vFc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23884", "sha": "1ab5905d32f2c7d65dd4308ad068718cfac37c19", "translated_description": "Seeing how reserve ratios limit how much lending I can do.", "image_url": "https://img.youtube.com/vi/DFPBdbx0vFc/hqdefault.jpg", "youtube_id": "DFPBdbx0vFc", "content_kind": "Video", "readable_id": "banking-9--more-on-reserve-ratios--bad-sound"}, {"translated_youtube_id": "8fxilNdEQTo", "relative_url": "/video/banking-10---introduction-to-leverage--bad-sound", "has_questions": false, "keywords": "banking, loans, finance, economics, leverage, insolvent", "ka_url": "http://www.khanacademy.org/video/banking-10---introduction-to-leverage--bad-sound", "duration": 561, "translated_title": "Banking 10: Introduction to leverage (bad sound)", "translated_description_html": "What leverage is. Why it is is good or bad. Leverage and insolvency.", "id": "23886", "description_html": "What leverage is. Why it is is good or bad. Leverage and insolvency.", "title": "Banking 10: Introduction to leverage (bad sound)", "progress_key": "v23886", "edit_slug": "edit/v/23886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What leverage is. Why it is is good or bad. Leverage and insolvency.", "extra_properties": null, "node_slug": "v/banking-10---introduction-to-leverage--bad-sound", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8fxilNdEQTo.mp4/8fxilNdEQTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8fxilNdEQTo.mp4/8fxilNdEQTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8fxilNdEQTo.m3u8/8fxilNdEQTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8fxilNdEQTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23886", "sha": "a94c3f2d7dcd03d1469dc09390a51ebdbbad1f24", "translated_description": "What leverage is. Why it is is good or bad. Leverage and insolvency.", "image_url": "https://img.youtube.com/vi/8fxilNdEQTo/hqdefault.jpg", "youtube_id": "8fxilNdEQTo", "content_kind": "Video", "readable_id": "banking-10---introduction-to-leverage--bad-sound"}, {"translated_youtube_id": "M-4GWomLbpc", "relative_url": "/video/banking-11--a-reserve-bank", "has_questions": false, "keywords": "banking, banks, federal, reserve, currency, gold", "ka_url": "http://www.khanacademy.org/video/banking-11--a-reserve-bank", "duration": 688, "translated_title": "Banking 11: A reserve bank", "translated_description_html": "Introduction to the idea of a reserve bank.", "id": "23888", "description_html": "Introduction to the idea of a reserve bank.", "title": "Banking 11: A reserve bank", "progress_key": "v23888", "edit_slug": "edit/v/23888", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the idea of a reserve bank.", "extra_properties": null, "node_slug": "v/banking-11--a-reserve-bank", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M-4GWomLbpc.mp4/M-4GWomLbpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M-4GWomLbpc.mp4/M-4GWomLbpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M-4GWomLbpc.m3u8/M-4GWomLbpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M-4GWomLbpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23888", "sha": "73acc1f1bb02370dad6a0e20d7a61b6b08baaf7c", "translated_description": "Introduction to the idea of a reserve bank.", "image_url": "https://img.youtube.com/vi/M-4GWomLbpc/hqdefault.jpg", "youtube_id": "M-4GWomLbpc", "content_kind": "Video", "readable_id": "banking-11--a-reserve-bank"}, {"translated_youtube_id": "JBWdbzzYbtU", "relative_url": "/video/banking-12---treasuries--government-debt", "has_questions": false, "keywords": "treasury, federal, reserve, notes, banks", "ka_url": "http://www.khanacademy.org/video/banking-12---treasuries--government-debt", "duration": 678, "translated_title": "Banking 12: Treasuries (government debt)", "translated_description_html": "Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.", "id": "23890", "description_html": "Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.", "title": "Banking 12: Treasuries (government debt)", "progress_key": "v23890", "edit_slug": "edit/v/23890", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.", "extra_properties": null, "node_slug": "v/banking-12---treasuries--government-debt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JBWdbzzYbtU.mp4/JBWdbzzYbtU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JBWdbzzYbtU.mp4/JBWdbzzYbtU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JBWdbzzYbtU.m3u8/JBWdbzzYbtU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JBWdbzzYbtU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23890", "sha": "464fdaf044f3549bc1661516b85f343a750a7ede", "translated_description": "Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.", "image_url": "https://img.youtube.com/vi/JBWdbzzYbtU/hqdefault.jpg", "youtube_id": "JBWdbzzYbtU", "content_kind": "Video", "readable_id": "banking-12---treasuries--government-debt"}, {"translated_youtube_id": "BTNarhvGX88", "relative_url": "/video/banking-13--open-market-operations", "has_questions": false, "keywords": "Open, market, reserve, requirement, money, supply, m0, m1", "ka_url": "http://www.khanacademy.org/video/banking-13--open-market-operations", "duration": 748, "translated_title": "Banking 13: Open market operations", "translated_description_html": "Tools of the Central Bank to increase the money supply.", "id": "23892", "description_html": "Tools of the Central Bank to increase the money supply.", "title": "Banking 13: Open market operations", "progress_key": "v23892", "edit_slug": "edit/v/23892", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Tools of the Central Bank to increase the money supply.", "extra_properties": null, "node_slug": "v/banking-13--open-market-operations", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTNarhvGX88.mp4/BTNarhvGX88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTNarhvGX88.mp4/BTNarhvGX88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BTNarhvGX88.m3u8/BTNarhvGX88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BTNarhvGX88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23892", "sha": "45411a5ad1f7097b8ef5dcfb8da3a1420a99c4ed", "translated_description": "Tools of the Central Bank to increase the money supply.", "image_url": "https://img.youtube.com/vi/BTNarhvGX88/hqdefault.jpg", "youtube_id": "BTNarhvGX88", "content_kind": "Video", "readable_id": "banking-13--open-market-operations"}, {"translated_youtube_id": "IniG1KkPS2c", "relative_url": "/video/banking-14--fed-funds-rate", "has_questions": false, "keywords": "federal, reserve, bernanke, target, open, market, operations", "ka_url": "http://www.khanacademy.org/video/banking-14--fed-funds-rate", "duration": 702, "translated_title": "Banking 14: Fed funds rate", "translated_description_html": "How open market operations effect the rate at which banks lend to each other overnight.", "id": "23894", "description_html": "How open market operations effect the rate at which banks lend to each other overnight.", "title": "Banking 14: Fed funds rate", "progress_key": "v23894", "edit_slug": "edit/v/23894", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How open market operations effect the rate at which banks lend to each other overnight.", "extra_properties": null, "node_slug": "v/banking-14--fed-funds-rate", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IniG1KkPS2c.mp4/IniG1KkPS2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IniG1KkPS2c.mp4/IniG1KkPS2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IniG1KkPS2c.m3u8/IniG1KkPS2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IniG1KkPS2c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23894", "sha": "52418d446461916672612b9be29a8fa10206e1e4", "translated_description": "How open market operations effect the rate at which banks lend to each other overnight.", "image_url": "https://img.youtube.com/vi/IniG1KkPS2c/hqdefault.jpg", "youtube_id": "IniG1KkPS2c", "content_kind": "Video", "readable_id": "banking-14--fed-funds-rate"}, {"translated_youtube_id": "rgqFXkLAc-4", "relative_url": "/video/banking-15--more-on-the-fed-funds-rate", "has_questions": false, "keywords": "federal, reserve, funds, money, suplly, m0, m1, open, market, operations", "ka_url": "http://www.khanacademy.org/video/banking-15--more-on-the-fed-funds-rate", "duration": 736, "translated_title": "Banking 15: More on the Fed funds rate", "translated_description_html": "More on the mechanics of the Federal Funds rate and how it increases the money supply.", "id": "23896", "description_html": "More on the mechanics of the Federal Funds rate and how it increases the money supply.", "title": "Banking 15: More on the Fed funds rate", "progress_key": "v23896", "edit_slug": "edit/v/23896", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the mechanics of the Federal Funds rate and how it increases the money supply.", "extra_properties": null, "node_slug": "v/banking-15--more-on-the-fed-funds-rate", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rgqFXkLAc-4.mp4/rgqFXkLAc-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rgqFXkLAc-4.mp4/rgqFXkLAc-4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rgqFXkLAc-4.m3u8/rgqFXkLAc-4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rgqFXkLAc-4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23896", "sha": "753262176f5b94e82648ab0d676262682e25ea06", "translated_description": "More on the mechanics of the Federal Funds rate and how it increases the money supply.", "image_url": "https://img.youtube.com/vi/rgqFXkLAc-4/hqdefault.jpg", "youtube_id": "rgqFXkLAc-4", "content_kind": "Video", "readable_id": "banking-15--more-on-the-fed-funds-rate"}, {"translated_youtube_id": "yOgGhPIHnlA", "relative_url": "/video/banking-16--why-target-rates-vs--money-supply", "has_questions": false, "keywords": "money, supply, m0, m1, m2, interest, rate, federal, funds", "ka_url": "http://www.khanacademy.org/video/banking-16--why-target-rates-vs--money-supply", "duration": 700, "translated_title": "Banking 16: Why target rates vs. money supply", "translated_description_html": "The rationale for targeting interest rates instead of directly having a money supply target.", "id": "23898", "description_html": "The rationale for targeting interest rates instead of directly having a money supply target.", "title": "Banking 16: Why target rates vs. money supply", "progress_key": "v23898", "edit_slug": "edit/v/23898", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The rationale for targeting interest rates instead of directly having a money supply target.", "extra_properties": null, "node_slug": "v/banking-16--why-target-rates-vs--money-supply", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yOgGhPIHnlA.mp4/yOgGhPIHnlA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yOgGhPIHnlA.mp4/yOgGhPIHnlA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yOgGhPIHnlA.m3u8/yOgGhPIHnlA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yOgGhPIHnlA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23898", "sha": "0c607fd3adc652f9960cdffa4a12251a56852c86", "translated_description": "The rationale for targeting interest rates instead of directly having a money supply target.", "image_url": "https://img.youtube.com/vi/yOgGhPIHnlA/hqdefault.jpg", "youtube_id": "yOgGhPIHnlA", "content_kind": "Video", "readable_id": "banking-16--why-target-rates-vs--money-supply"}, {"translated_youtube_id": "NFDMXwwzyIM", "relative_url": "/video/banking-17--what-happened-to-the-gold", "has_questions": false, "keywords": "gold, standard, fiat, currency, wealth", "ka_url": "http://www.khanacademy.org/video/banking-17--what-happened-to-the-gold", "duration": 612, "translated_title": "Banking 17: What happened to the gold?", "translated_description_html": "Getting off the gold standard. A short discussion of the meaning of wealth.", "id": "23900", "description_html": "Getting off the gold standard. A short discussion of the meaning of wealth.", "title": "Banking 17: What happened to the gold?", "progress_key": "v23900", "edit_slug": "edit/v/23900", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Getting off the gold standard. A short discussion of the meaning of wealth.", "extra_properties": null, "node_slug": "v/banking-17--what-happened-to-the-gold", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NFDMXwwzyIM.mp4/NFDMXwwzyIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NFDMXwwzyIM.mp4/NFDMXwwzyIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NFDMXwwzyIM.m3u8/NFDMXwwzyIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NFDMXwwzyIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23900", "sha": "51709ccf4b5e4c477e273bd08d31ad8f8ac11fde", "translated_description": "Getting off the gold standard. A short discussion of the meaning of wealth.", "image_url": "https://img.youtube.com/vi/NFDMXwwzyIM/hqdefault.jpg", "youtube_id": "NFDMXwwzyIM", "content_kind": "Video", "readable_id": "banking-17--what-happened-to-the-gold"}, {"translated_youtube_id": "T9byZBGtGuw", "relative_url": "/video/banking-18--big-picture-discussion", "has_questions": false, "keywords": "gold, money, banking, fractional, reserve", "ka_url": "http://www.khanacademy.org/video/banking-18--big-picture-discussion", "duration": 848, "translated_title": "Banking 18: Big picture discussion", "translated_description_html": "Pros and Cons of various banking systems. More on gold.", "id": "23902", "description_html": "Pros and Cons of various banking systems. More on gold.", "title": "Banking 18: Big picture discussion", "progress_key": "v23902", "edit_slug": "edit/v/23902", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pros and Cons of various banking systems. More on gold.", "extra_properties": null, "node_slug": "v/banking-18--big-picture-discussion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T9byZBGtGuw.mp4/T9byZBGtGuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T9byZBGtGuw.mp4/T9byZBGtGuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T9byZBGtGuw.m3u8/T9byZBGtGuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T9byZBGtGuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23902", "sha": "171c8067456a6f28906c64c7780411f66686b015", "translated_description": "Pros and Cons of various banking systems. More on gold.", "image_url": "https://img.youtube.com/vi/T9byZBGtGuw/hqdefault.jpg", "youtube_id": "T9byZBGtGuw", "content_kind": "Video", "readable_id": "banking-18--big-picture-discussion"}, {"translated_youtube_id": "FxkTSjctXdk", "relative_url": "/video/the-discount-rate", "has_questions": false, "keywords": "federal, reserve, target, rate, deferal, funds, discount, window", "ka_url": "http://www.khanacademy.org/video/the-discount-rate", "duration": 802, "translated_title": "The discount rate", "translated_description_html": "The discount rate and window. Lender of last resort.", "id": "23904", "description_html": "The discount rate and window. Lender of last resort.", "title": "The discount rate", "progress_key": "v23904", "edit_slug": "edit/v/23904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The discount rate and window. Lender of last resort.", "extra_properties": null, "node_slug": "v/the-discount-rate", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FxkTSjctXdk.mp4/FxkTSjctXdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FxkTSjctXdk.mp4/FxkTSjctXdk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FxkTSjctXdk.m3u8/FxkTSjctXdk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FxkTSjctXdk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23904", "sha": "22eb3231a0b0fd749376950190513ef7b0e422f3", "translated_description": "The discount rate and window. Lender of last resort.", "image_url": "https://img.youtube.com/vi/FxkTSjctXdk/hqdefault.jpg", "youtube_id": "FxkTSjctXdk", "content_kind": "Video", "readable_id": "the-discount-rate"}, {"translated_youtube_id": "QWninXOAMXE", "relative_url": "/video/repurchase-agreements--repo-transactions", "has_questions": false, "keywords": "repurchase, agreement, repo, transaction, federal, reserve", "ka_url": "http://www.khanacademy.org/video/repurchase-agreements--repo-transactions", "duration": 684, "translated_title": "Repurchase agreements (repo transactions)", "translated_description_html": "Mechanics of repurchase agreements (repo transactions/loans)", "id": "23906", "description_html": "Mechanics of repurchase agreements (repo transactions/loans)", "title": "Repurchase agreements (repo transactions)", "progress_key": "v23906", "edit_slug": "edit/v/23906", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mechanics of repurchase agreements (repo transactions/loans)", "extra_properties": null, "node_slug": "v/repurchase-agreements--repo-transactions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QWninXOAMXE.mp4/QWninXOAMXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QWninXOAMXE.mp4/QWninXOAMXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QWninXOAMXE.m3u8/QWninXOAMXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QWninXOAMXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23906", "sha": "5d156769935087ffa822c71c2ec14b78a45dcbd0", "translated_description": "Mechanics of repurchase agreements (repo transactions/loans)", "image_url": "https://img.youtube.com/vi/QWninXOAMXE/hqdefault.jpg", "youtube_id": "QWninXOAMXE", "content_kind": "Video", "readable_id": "repurchase-agreements--repo-transactions"}, {"translated_youtube_id": "MILF-9GeMDQ", "relative_url": "/video/federal-reserve-balance-sheet", "has_questions": false, "keywords": "federal, reserve, balance, sheet", "ka_url": "http://www.khanacademy.org/video/federal-reserve-balance-sheet", "duration": 597, "translated_title": "Federal Reserve balance sheet", "translated_description_html": "Analysis of the federal reserve balance sheet as of Feb 2007.", "id": "23908", "description_html": "Analysis of the federal reserve balance sheet as of Feb 2007.", "title": "Federal Reserve balance sheet", "progress_key": "v23908", "edit_slug": "edit/v/23908", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analysis of the federal reserve balance sheet as of Feb 2007.", "extra_properties": null, "node_slug": "v/federal-reserve-balance-sheet", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MILF-9GeMDQ.mp4/MILF-9GeMDQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MILF-9GeMDQ.mp4/MILF-9GeMDQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MILF-9GeMDQ.m3u8/MILF-9GeMDQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MILF-9GeMDQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23908", "sha": "f7dc318646191074d98c86c0f3baf2df691b7cd9", "translated_description": "Analysis of the federal reserve balance sheet as of Feb 2007.", "image_url": "https://img.youtube.com/vi/MILF-9GeMDQ/hqdefault.jpg", "youtube_id": "MILF-9GeMDQ", "content_kind": "Video", "readable_id": "federal-reserve-balance-sheet"}, {"translated_youtube_id": "ZyyaE3DIxhc", "relative_url": "/video/fractional-reserve-banking-commentary-1", "has_questions": false, "keywords": "fractional, reserve, banking", "ka_url": "http://www.khanacademy.org/video/fractional-reserve-banking-commentary-1", "duration": 1153, "translated_title": "Fractional Reserve banking commentary 1", "translated_description_html": "Understanding the weak points of Fractional Reserve Banking", "id": "23910", "description_html": "Understanding the weak points of Fractional Reserve Banking", "title": "Fractional Reserve banking commentary 1", "progress_key": "v23910", "edit_slug": "edit/v/23910", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding the weak points of Fractional Reserve Banking", "extra_properties": null, "node_slug": "v/fractional-reserve-banking-commentary-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyyaE3DIxhc.mp4/ZyyaE3DIxhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyyaE3DIxhc.mp4/ZyyaE3DIxhc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyyaE3DIxhc.m3u8/ZyyaE3DIxhc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyyaE3DIxhc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23910", "sha": "35a35afb58047d9ce01f6432ccab2557f27b3e36", "translated_description": "Understanding the weak points of Fractional Reserve Banking", "image_url": "https://img.youtube.com/vi/ZyyaE3DIxhc/hqdefault.jpg", "youtube_id": "ZyyaE3DIxhc", "content_kind": "Video", "readable_id": "fractional-reserve-banking-commentary-1"}, {"translated_youtube_id": "otstXFxMkl4", "relative_url": "/video/frb-commentary-2--deposit-insurance", "has_questions": false, "keywords": "fractional, reserve, banking", "ka_url": "http://www.khanacademy.org/video/frb-commentary-2--deposit-insurance", "duration": 1039, "translated_title": "FRB commentary 2: Deposit insurance", "translated_description_html": "More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects.", "id": "23912", "description_html": "More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects.", "title": "FRB commentary 2: Deposit insurance", "progress_key": "v23912", "edit_slug": "edit/v/23912", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects.", "extra_properties": null, "node_slug": "v/frb-commentary-2--deposit-insurance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:30:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/otstXFxMkl4.mp4/otstXFxMkl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/otstXFxMkl4.mp4/otstXFxMkl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/otstXFxMkl4.m3u8/otstXFxMkl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=otstXFxMkl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23912", "sha": "8c007b87e305eadbd860c01c0696c9dd7ab22aed", "translated_description": "More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects.", "image_url": "https://img.youtube.com/vi/otstXFxMkl4/hqdefault.jpg", "youtube_id": "otstXFxMkl4", "content_kind": "Video", "readable_id": "frb-commentary-2--deposit-insurance"}, {"translated_youtube_id": "8SAMey9Gl5I", "relative_url": "/video/frb-commentary-3--big-picture", "has_questions": false, "keywords": "fractional, reserve, banking", "ka_url": "http://www.khanacademy.org/video/frb-commentary-3--big-picture", "duration": 1287, "translated_title": "FRB commentary 3: Big picture", "translated_description_html": "Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.", "id": "23914", "description_html": "Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.", "title": "FRB commentary 3: Big picture", "progress_key": "v23914", "edit_slug": "edit/v/23914", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.", "extra_properties": null, "node_slug": "v/frb-commentary-3--big-picture", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:30:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8SAMey9Gl5I.mp4/8SAMey9Gl5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8SAMey9Gl5I.mp4/8SAMey9Gl5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8SAMey9Gl5I.m3u8/8SAMey9Gl5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8SAMey9Gl5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23914", "sha": "5e03505a3c97e065ab556d37a5eb51d6a0f277f3", "translated_description": "Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.", "image_url": "https://img.youtube.com/vi/8SAMey9Gl5I/hqdefault.jpg", "youtube_id": "8SAMey9Gl5I", "content_kind": "Video", "readable_id": "frb-commentary-3--big-picture"}, {"translated_youtube_id": "wBCowBiXV7A", "relative_url": "/video/libor", "has_questions": false, "keywords": "Libor, Federal, Funds, finance", "ka_url": "http://www.khanacademy.org/video/libor", "duration": 217, "translated_title": "LIBOR", "translated_description_html": "London InterBank Offer Rate", "id": "60049932", "description_html": "London InterBank Offer Rate", "title": "LIBOR", "progress_key": "v60049932", "edit_slug": "edit/v/60049932", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "London InterBank Offer Rate", "extra_properties": null, "node_slug": "v/libor", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-14T00:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wBCowBiXV7A.mp4/wBCowBiXV7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wBCowBiXV7A.mp4/wBCowBiXV7A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wBCowBiXV7A.m3u8/wBCowBiXV7A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wBCowBiXV7A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v60049932", "sha": "5f0c0afc6b7904c3cdee911b9eb9a878b9f3eab5", "translated_description": "London InterBank Offer Rate", "image_url": "https://img.youtube.com/vi/wBCowBiXV7A/hqdefault.jpg", "youtube_id": "wBCowBiXV7A", "content_kind": "Video", "readable_id": "libor"}], "twitter_url": "", "translated_description": "We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking).\n\nThis older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking).\n\nThis older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world.", "x_pos": 0.0, "node_slug": "banking-and-money", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb83f15d3", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/banking-and-money", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/banking-and-money", "slug": "banking-and-money", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "e46bb2da835ec19d43592d5558fadbc4990b367c", "standalone_title": "Banking and Money", "y_pos": 0.0, "current_revision_key": "e46bb2da835ec19d43592d5558fadbc4990b367c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/federal-reserve", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/federal-reserve", "translated_standalone_title": "Federal reserve (central banks)", "translated_title": "Quantative easing", "gplus_url": "", "id": "x19673812", "old_key_name": "0yma4TnG-O0i6FjrvpYORtCWmh2jcfzIs-EJ3IjX", "hide": false, "title": "Quantative easing", "child_data": [{"kind": "Video", "id": 84536771}, {"kind": "Video", "id": 84536772}, {"kind": "Video", "id": 84546653}, {"kind": "Video", "id": 95907355}, {"kind": "Video", "id": 95907356}, {"kind": "Video", "id": 95907357}], "children": [{"translated_youtube_id": "wDuCOxDxMzY", "relative_url": "/video/fed-open-market-operations", "has_questions": false, "keywords": "federal, reserve, yield, banking", "ka_url": "http://www.khanacademy.org/video/fed-open-market-operations", "duration": 277, "translated_title": "Fed open market operations", "translated_description_html": "Fed Open Market Operations", "id": "84536771", "description_html": "Fed Open Market Operations", "title": "Fed open market operations", "progress_key": "v84536771", "edit_slug": "edit/v/84536771", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Fed Open Market Operations", "extra_properties": null, "node_slug": "v/fed-open-market-operations", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-05-11T23:25:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wDuCOxDxMzY.mp4/wDuCOxDxMzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wDuCOxDxMzY.mp4/wDuCOxDxMzY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wDuCOxDxMzY.m3u8/wDuCOxDxMzY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wDuCOxDxMzY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84536771", "sha": "cd94d9693c855e52340a7446defe41f673e67dba", "translated_description": "Fed Open Market Operations", "image_url": "https://img.youtube.com/vi/wDuCOxDxMzY/hqdefault.jpg", "youtube_id": "wDuCOxDxMzY", "content_kind": "Video", "readable_id": "fed-open-market-operations"}, {"translated_youtube_id": "kc_HjPT4NKo", "relative_url": "/video/quantitative-easing", "has_questions": false, "keywords": "federal, reserve, yield, banking", "ka_url": "http://www.khanacademy.org/video/quantitative-easing", "duration": 255, "translated_title": "Quantitative easing", "translated_description_html": "Overview of quantitative easing", "id": "84536772", "description_html": "Overview of quantitative easing", "title": "Quantitative easing", "progress_key": "v84536772", "edit_slug": "edit/v/84536772", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Overview of quantitative easing", "extra_properties": null, "node_slug": "v/quantitative-easing", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-05-11T23:25:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kc_HjPT4NKo.mp4/kc_HjPT4NKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kc_HjPT4NKo.mp4/kc_HjPT4NKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kc_HjPT4NKo.m3u8/kc_HjPT4NKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kc_HjPT4NKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84536772", "sha": "c51ee0244d8f534d2102366613c0d0a20a099d9c", "translated_description": "Overview of quantitative easing", "image_url": "https://img.youtube.com/vi/kc_HjPT4NKo/hqdefault.jpg", "youtube_id": "kc_HjPT4NKo", "content_kind": "Video", "readable_id": "quantitative-easing"}, {"translated_youtube_id": "ZrKw-SLzNrw", "relative_url": "/video/more-on-quantitative-easing--and-credit-easing", "has_questions": false, "keywords": "federal, reserve, bernanke, credit, crisis", "ka_url": "http://www.khanacademy.org/video/more-on-quantitative-easing--and-credit-easing", "duration": 555, "translated_title": "More on quantitative easing (and credit easing)", "translated_description_html": "Understanding the difference between quantitative easing in Japan and the United States", "id": "84546653", "description_html": "Understanding the difference between quantitative easing in Japan and the United States", "title": "More on quantitative easing (and credit easing)", "progress_key": "v84546653", "edit_slug": "edit/v/84546653", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding the difference between quantitative easing in Japan and the United States", "extra_properties": null, "node_slug": "v/more-on-quantitative-easing--and-credit-easing", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-11T23:25:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZrKw-SLzNrw.mp4/ZrKw-SLzNrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZrKw-SLzNrw.mp4/ZrKw-SLzNrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZrKw-SLzNrw.m3u8/ZrKw-SLzNrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZrKw-SLzNrw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v84546653", "sha": "99c2bf8d7f30191331900e5b9643b0ab82bfa59a", "translated_description": "Understanding the difference between quantitative easing in Japan and the United States", "image_url": "https://img.youtube.com/vi/ZrKw-SLzNrw/hqdefault.jpg", "youtube_id": "ZrKw-SLzNrw", "content_kind": "Video", "readable_id": "more-on-quantitative-easing--and-credit-easing"}, {"translated_youtube_id": "TpLlJ8-AnQM", "relative_url": "/video/open-market-operations-and-quantitative-easing-overview", "has_questions": false, "keywords": "federal, reserve, economics", "ka_url": "http://www.khanacademy.org/video/open-market-operations-and-quantitative-easing-overview", "duration": 191, "translated_title": "Open market operations and quantitative easing overview", "translated_description_html": "Basic difference between traditional open market operations and quantitative easing.", "id": "95907355", "description_html": "Basic difference between traditional open market operations and quantitative easing.", "title": "Open market operations and quantitative easing overview", "progress_key": "v95907355", "edit_slug": "edit/v/95907355", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic difference between traditional open market operations and quantitative easing.", "extra_properties": null, "node_slug": "v/open-market-operations-and-quantitative-easing-overview", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-26T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TpLlJ8-AnQM.mp4/TpLlJ8-AnQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TpLlJ8-AnQM.mp4/TpLlJ8-AnQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TpLlJ8-AnQM.m3u8/TpLlJ8-AnQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TpLlJ8-AnQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v95907355", "sha": "937862e41eba962a93bfeac13ab9b59e10c17b77", "translated_description": "Basic difference between traditional open market operations and quantitative easing.", "image_url": "https://img.youtube.com/vi/TpLlJ8-AnQM/hqdefault.jpg", "youtube_id": "TpLlJ8-AnQM", "content_kind": "Video", "readable_id": "open-market-operations-and-quantitative-easing-overview"}, {"translated_youtube_id": "Lmd_CDwBXFs", "relative_url": "/video/another-quantitative-easing-video", "has_questions": false, "keywords": "federal, reserve, Ben, Bernanke", "ka_url": "http://www.khanacademy.org/video/another-quantitative-easing-video", "duration": 167, "translated_title": "Another quantitative easing video", "translated_description_html": "More on quantitative easing", "id": "95907356", "description_html": "More on quantitative easing", "title": "Another quantitative easing video", "progress_key": "v95907356", "edit_slug": "edit/v/95907356", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on quantitative easing", "extra_properties": null, "node_slug": "v/another-quantitative-easing-video", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-05-26T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lmd_CDwBXFs.mp4/Lmd_CDwBXFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lmd_CDwBXFs.mp4/Lmd_CDwBXFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Lmd_CDwBXFs.m3u8/Lmd_CDwBXFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Lmd_CDwBXFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v95907356", "sha": "6f3267a3ddcdeac75ddeec00f0957cb5578880c9", "translated_description": "More on quantitative easing", "image_url": "https://img.youtube.com/vi/Lmd_CDwBXFs/hqdefault.jpg", "youtube_id": "Lmd_CDwBXFs", "content_kind": "Video", "readable_id": "another-quantitative-easing-video"}, {"translated_youtube_id": "a-R8qpea6lc", "relative_url": "/video/us-and-japanese-quantitative-easing", "has_questions": false, "keywords": "bernanke, federal, reserve", "ka_url": "http://www.khanacademy.org/video/us-and-japanese-quantitative-easing", "duration": 195, "translated_title": "US and Japanese quantitative easing", "translated_description_html": "Comparing quantitative easing in Japan to \"credit easing\" in the United States", "id": "95907357", "description_html": "Comparing quantitative easing in Japan to \"credit easing\" in the United States", "title": "US and Japanese quantitative easing", "progress_key": "v95907357", "edit_slug": "edit/v/95907357", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Comparing quantitative easing in Japan to \"credit easing\" in the United States", "extra_properties": null, "node_slug": "v/us-and-japanese-quantitative-easing", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-26T23:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.mp4/a-R8qpea6lc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.mp4/a-R8qpea6lc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.m3u8/a-R8qpea6lc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a-R8qpea6lc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v95907357", "sha": "05c25f03096d3bcf2d0e8f1395f88e99807ae058", "translated_description": "Comparing quantitative easing in Japan to \"credit easing\" in the United States", "image_url": "https://img.youtube.com/vi/a-R8qpea6lc/hqdefault.jpg", "youtube_id": "a-R8qpea6lc", "content_kind": "Video", "readable_id": "us-and-japanese-quantitative-easing"}], "twitter_url": "", "translated_description": "You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates. But how exactly do they do this. Even more, how is \"quantitative easing\" different than regular open market operations.\n\nThis tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates. But how exactly do they do this. Even more, how is \"quantitative easing\" different than regular open market operations.\n\nThis tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession.", "x_pos": 0.0, "node_slug": "federal-reserve", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax19673812", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/federal-reserve", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/federal-reserve", "slug": "federal-reserve", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "859bcb63e6c0513e3dd2d2cd09930ab915340706", "standalone_title": "Federal reserve (central banks)", "y_pos": 0.0, "current_revision_key": "859bcb63e6c0513e3dd2d2cd09930ab915340706", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/bank-bailout", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bank-bailout", "translated_standalone_title": "2008 Bank bailout", "translated_title": "2008 bank bailout", "gplus_url": "", "id": "x0b27fe22", "old_key_name": "_greuQfUjEGSuZ1bBIfsx2HTaChn_4EMHtsHaj3M", "hide": false, "title": "2008 bank bailout", "child_data": [{"kind": "Video", "id": 24858}, {"kind": "Video", "id": 24860}, {"kind": "Video", "id": 24862}, {"kind": "Video", "id": 24864}, {"kind": "Video", "id": 24866}, {"kind": "Video", "id": 24868}, {"kind": "Video", "id": 24870}, {"kind": "Video", "id": 24872}, {"kind": "Video", "id": 24874}, {"kind": "Video", "id": 24876}, {"kind": "Video", "id": 24884}, {"kind": "Video", "id": 24886}, {"kind": "Video", "id": 24678}, {"kind": "Video", "id": 24891}, {"kind": "Video", "id": 24893}, {"kind": "Video", "id": 6022692}], "children": [{"translated_youtube_id": "ZUEjRYe7MRk", "relative_url": "/video/bailout-1--liquidity-vs--solvency", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-1--liquidity-vs--solvency", "duration": 686, "translated_title": "Bailout 1: Liquidity vs. solvency", "translated_description_html": "Review of balance sheets. Difference between illiquidity and insolvency.", "id": "24858", "description_html": "Review of balance sheets. Difference between illiquidity and insolvency.", "title": "Bailout 1: Liquidity vs. solvency", "progress_key": "v24858", "edit_slug": "edit/v/24858", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Review of balance sheets. Difference between illiquidity and insolvency.", "extra_properties": null, "node_slug": "v/bailout-1--liquidity-vs--solvency", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.m3u8/ZUEjRYe7MRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZUEjRYe7MRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24858", "sha": "0fff28f2a53a1df56a90b216fb0e7279e8eaa8f2", "translated_description": "Review of balance sheets. Difference between illiquidity and insolvency.", "image_url": "https://img.youtube.com/vi/ZUEjRYe7MRk/hqdefault.jpg", "youtube_id": "ZUEjRYe7MRk", "content_kind": "Video", "readable_id": "bailout-1--liquidity-vs--solvency"}, {"translated_youtube_id": "YJBqGM29_64", "relative_url": "/video/bailout-2--book-value", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch, book, value", "ka_url": "http://www.khanacademy.org/video/bailout-2--book-value", "duration": 652, "translated_title": "Bailout 2: Book value", "translated_description_html": "Hypothetical bank balance sheet. What book value means.", "id": "24860", "description_html": "Hypothetical bank balance sheet. What book value means.", "title": "Bailout 2: Book value", "progress_key": "v24860", "edit_slug": "edit/v/24860", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hypothetical bank balance sheet. What book value means.", "extra_properties": null, "node_slug": "v/bailout-2--book-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.m3u8/YJBqGM29_64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YJBqGM29_64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24860", "sha": "4b0fbc0e00990cee9cae40f7c9b3bd7437686a05", "translated_description": "Hypothetical bank balance sheet. What book value means.", "image_url": "https://img.youtube.com/vi/YJBqGM29_64/hqdefault.jpg", "youtube_id": "YJBqGM29_64", "content_kind": "Video", "readable_id": "bailout-2--book-value"}, {"translated_youtube_id": "TUOQZjotyAQ", "relative_url": "/video/bailout-3--book-value-vs--market-value", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-3--book-value-vs--market-value", "duration": 632, "translated_title": "Bailout 3: Book value vs. market value", "translated_description_html": "What it means when the market value of a stock is different from its book value.", "id": "24862", "description_html": "What it means when the market value of a stock is different from its book value.", "title": "Bailout 3: Book value vs. market value", "progress_key": "v24862", "edit_slug": "edit/v/24862", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What it means when the market value of a stock is different from its book value.", "extra_properties": null, "node_slug": "v/bailout-3--book-value-vs--market-value", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.mp4/TUOQZjotyAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.mp4/TUOQZjotyAQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TUOQZjotyAQ.m3u8/TUOQZjotyAQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TUOQZjotyAQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24862", "sha": "af154bcbc652e6d44c8ce53496bf547b62493469", "translated_description": "What it means when the market value of a stock is different from its book value.", "image_url": "https://img.youtube.com/vi/TUOQZjotyAQ/hqdefault.jpg", "youtube_id": "TUOQZjotyAQ", "content_kind": "Video", "readable_id": "bailout-3--book-value-vs--market-value"}, {"translated_youtube_id": "w_GZqhAR0I4", "relative_url": "/video/bailout-4--mark-to-model-vs--mark-to-market", "has_questions": false, "keywords": "bailout, fed, treasury, insolvency, credit, crunch, accounting, model, mark, market", "ka_url": "http://www.khanacademy.org/video/bailout-4--mark-to-model-vs--mark-to-market", "duration": 684, "translated_title": "Bailout 4: Mark-to-model vs. mark-to-market", "translated_description_html": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "id": "24864", "description_html": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "title": "Bailout 4: Mark-to-model vs. mark-to-market", "progress_key": "v24864", "edit_slug": "edit/v/24864", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "extra_properties": null, "node_slug": "v/bailout-4--mark-to-model-vs--mark-to-market", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.mp4/w_GZqhAR0I4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.mp4/w_GZqhAR0I4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w_GZqhAR0I4.m3u8/w_GZqhAR0I4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w_GZqhAR0I4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24864", "sha": "b3e00fba9ddd1e81789a16e805f51cb680e69d14", "translated_description": "Different ways of accounting for an asset. Mark-to-model vs. mark-to-market.", "image_url": "https://img.youtube.com/vi/w_GZqhAR0I4/hqdefault.jpg", "youtube_id": "w_GZqhAR0I4", "content_kind": "Video", "readable_id": "bailout-4--mark-to-model-vs--mark-to-market"}, {"translated_youtube_id": "I8BLj7cRM7c", "relative_url": "/video/bailout-5--paying-off-the-debt", "has_questions": false, "keywords": "bailout, credit, crunch, paulson, bernanke, leverage, CDO", "ka_url": "http://www.khanacademy.org/video/bailout-5--paying-off-the-debt", "duration": 651, "translated_title": "Bailout 5: Paying off the debt", "translated_description_html": "How the bank can liquidate assets to pay off debt that comes due.", "id": "24866", "description_html": "How the bank can liquidate assets to pay off debt that comes due.", "title": "Bailout 5: Paying off the debt", "progress_key": "v24866", "edit_slug": "edit/v/24866", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the bank can liquidate assets to pay off debt that comes due.", "extra_properties": null, "node_slug": "v/bailout-5--paying-off-the-debt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.mp4/I8BLj7cRM7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.mp4/I8BLj7cRM7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I8BLj7cRM7c.m3u8/I8BLj7cRM7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I8BLj7cRM7c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24866", "sha": "1349b39016bc65475b2d51f25d9563cfaa21e007", "translated_description": "How the bank can liquidate assets to pay off debt that comes due.", "image_url": "https://img.youtube.com/vi/I8BLj7cRM7c/hqdefault.jpg", "youtube_id": "I8BLj7cRM7c", "content_kind": "Video", "readable_id": "bailout-5--paying-off-the-debt"}, {"translated_youtube_id": "jDNalKBb3aA", "relative_url": "/video/bailout-6--getting-an-equity-infusion", "has_questions": false, "keywords": "bailout, paulson, bernanke, SWF, sovereign, wealth, fund, equity", "ka_url": "http://www.khanacademy.org/video/bailout-6--getting-an-equity-infusion", "duration": 722, "translated_title": "Bailout 6: Getting an equity infusion", "translated_description_html": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "id": "24868", "description_html": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "title": "Bailout 6: Getting an equity infusion", "progress_key": "v24868", "edit_slug": "edit/v/24868", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "extra_properties": null, "node_slug": "v/bailout-6--getting-an-equity-infusion", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.m3u8/jDNalKBb3aA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jDNalKBb3aA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24868", "sha": "2ae42090a72ba9ca3e506daabc8a32bf5796b89f", "translated_description": "The bank gets bailed out by an equity infusion from a sovereign wealth fund.", "image_url": "https://img.youtube.com/vi/jDNalKBb3aA/hqdefault.jpg", "youtube_id": "jDNalKBb3aA", "content_kind": "Video", "readable_id": "bailout-6--getting-an-equity-infusion"}, {"translated_youtube_id": "MdIfefLcdoU", "relative_url": "/video/bailout-7--bank-goes-into-bankruptcy", "has_questions": false, "keywords": "bailout, receivership, bankruptcy, paulson, bernanke", "ka_url": "http://www.khanacademy.org/video/bailout-7--bank-goes-into-bankruptcy", "duration": 625, "translated_title": "Bailout 7: Bank goes into bankruptcy", "translated_description_html": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "id": "24870", "description_html": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "title": "Bailout 7: Bank goes into bankruptcy", "progress_key": "v24870", "edit_slug": "edit/v/24870", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "extra_properties": null, "node_slug": "v/bailout-7--bank-goes-into-bankruptcy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.mp4/MdIfefLcdoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.mp4/MdIfefLcdoU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MdIfefLcdoU.m3u8/MdIfefLcdoU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MdIfefLcdoU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24870", "sha": "0b165dafbff54749e2bd4c2093232b6c9da9f90c", "translated_description": "What happens when there is no equity infusion and the bank goes in to bankruptcy.", "image_url": "https://img.youtube.com/vi/MdIfefLcdoU/hqdefault.jpg", "youtube_id": "MdIfefLcdoU", "content_kind": "Video", "readable_id": "bailout-7--bank-goes-into-bankruptcy"}, {"translated_youtube_id": "gX9aKDeAOz4", "relative_url": "/video/bailout-8--systemic-risk", "has_questions": false, "keywords": "paulson, lehman, aig, goldman, bailout, credit, crunch, bernanke", "ka_url": "http://www.khanacademy.org/video/bailout-8--systemic-risk", "duration": 712, "translated_title": "Bailout 8: Systemic risk", "translated_description_html": "How the banks are connected. What happens when one bank fails.", "id": "24872", "description_html": "How the banks are connected. What happens when one bank fails.", "title": "Bailout 8: Systemic risk", "progress_key": "v24872", "edit_slug": "edit/v/24872", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the banks are connected. What happens when one bank fails.", "extra_properties": null, "node_slug": "v/bailout-8--systemic-risk", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.mp4/gX9aKDeAOz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.mp4/gX9aKDeAOz4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gX9aKDeAOz4.m3u8/gX9aKDeAOz4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gX9aKDeAOz4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24872", "sha": "df5b2e95edddcf42089a8f22d6477ad5aa1d9958", "translated_description": "How the banks are connected. What happens when one bank fails.", "image_url": "https://img.youtube.com/vi/gX9aKDeAOz4/hqdefault.jpg", "youtube_id": "gX9aKDeAOz4", "content_kind": "Video", "readable_id": "bailout-8--systemic-risk"}, {"translated_youtube_id": "eBYbnYNl0rw", "relative_url": "/video/bailout-9--paulson-s-plan", "has_questions": false, "keywords": "credit, crunch, moral, hazard, paulson, treasury, bailout, finance", "ka_url": "http://www.khanacademy.org/video/bailout-9--paulson-s-plan", "duration": 665, "translated_title": "Bailout 9: Paulson's plan", "translated_description_html": "What Paulson wants to do and why I don't like it.", "id": "24874", "description_html": "What Paulson wants to do and why I don't like it.", "title": "Bailout 9: Paulson's plan", "progress_key": "v24874", "edit_slug": "edit/v/24874", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What Paulson wants to do and why I don't like it.", "extra_properties": null, "node_slug": "v/bailout-9--paulson-s-plan", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.mp4/eBYbnYNl0rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.mp4/eBYbnYNl0rw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eBYbnYNl0rw.m3u8/eBYbnYNl0rw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eBYbnYNl0rw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24874", "sha": "a31803a153d8c23955e7f498ba43f2bfd062ffed", "translated_description": "What Paulson wants to do and why I don't like it.", "image_url": "https://img.youtube.com/vi/eBYbnYNl0rw/hqdefault.jpg", "youtube_id": "eBYbnYNl0rw", "content_kind": "Video", "readable_id": "bailout-9--paulson-s-plan"}, {"translated_youtube_id": "roap32sTgPk", "relative_url": "/video/bailout-10--moral-hazard", "has_questions": false, "keywords": "fed, bailout, paulsen, bernanke, credit, crunch, lehman, aig", "ka_url": "http://www.khanacademy.org/video/bailout-10--moral-hazard", "duration": 727, "translated_title": "Bailout 10: Moral hazard", "translated_description_html": "Alternate plans and moral hazard.", "id": "24876", "description_html": "Alternate plans and moral hazard.", "title": "Bailout 10: Moral hazard", "progress_key": "v24876", "edit_slug": "edit/v/24876", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Alternate plans and moral hazard.", "extra_properties": null, "node_slug": "v/bailout-10--moral-hazard", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.mp4/roap32sTgPk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.mp4/roap32sTgPk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roap32sTgPk.m3u8/roap32sTgPk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=roap32sTgPk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24876", "sha": "b016af2154c07696159e4851c2c49246b05d8130", "translated_description": "Alternate plans and moral hazard.", "image_url": "https://img.youtube.com/vi/roap32sTgPk/hqdefault.jpg", "youtube_id": "roap32sTgPk", "content_kind": "Video", "readable_id": "bailout-10--moral-hazard"}, {"translated_youtube_id": "RkIM0Mbc8YQ", "relative_url": "/video/bailout-11--why-these-cdos-could-be-worth-nothing", "has_questions": false, "keywords": "bailout, collateralized, debt, obligations, CDO, MBS", "ka_url": "http://www.khanacademy.org/video/bailout-11--why-these-cdos-could-be-worth-nothing", "duration": 644, "translated_title": "Bailout 11: Why these CDOs could be worth nothing", "translated_description_html": "Why a CDO could be worth nothing even though they are \"collateralized\".", "id": "24884", "description_html": "Why a CDO could be worth nothing even though they are \"collateralized\".", "title": "Bailout 11: Why these CDOs could be worth nothing", "progress_key": "v24884", "edit_slug": "edit/v/24884", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why a CDO could be worth nothing even though they are \"collateralized\".", "extra_properties": null, "node_slug": "v/bailout-11--why-these-cdos-could-be-worth-nothing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.m3u8/RkIM0Mbc8YQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RkIM0Mbc8YQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24884", "sha": "b36c0bc847689062bce488392990a4ba6480321a", "translated_description": "Why a CDO could be worth nothing even though they are \"collateralized\".", "image_url": "https://img.youtube.com/vi/RkIM0Mbc8YQ/hqdefault.jpg", "youtube_id": "RkIM0Mbc8YQ", "content_kind": "Video", "readable_id": "bailout-11--why-these-cdos-could-be-worth-nothing"}, {"translated_youtube_id": "eZZkhSl8lMA", "relative_url": "/video/bailout-12--lone-star-transaction", "has_questions": false, "keywords": "merill, lynch, lone, star, CDOs", "ka_url": "http://www.khanacademy.org/video/bailout-12--lone-star-transaction", "duration": 628, "translated_title": "Bailout 12: Lone Star transaction", "translated_description_html": "A real life example of a transaction involving CDOs.", "id": "24886", "description_html": "A real life example of a transaction involving CDOs.", "title": "Bailout 12: Lone Star transaction", "progress_key": "v24886", "edit_slug": "edit/v/24886", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A real life example of a transaction involving CDOs.", "extra_properties": null, "node_slug": "v/bailout-12--lone-star-transaction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.m3u8/eZZkhSl8lMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eZZkhSl8lMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24886", "sha": "4402d9ecafaf3cb424210c51cf02bc3a20f26d46", "translated_description": "A real life example of a transaction involving CDOs.", "image_url": "https://img.youtube.com/vi/eZZkhSl8lMA/hqdefault.jpg", "youtube_id": "eZZkhSl8lMA", "content_kind": "Video", "readable_id": "bailout-12--lone-star-transaction"}, {"translated_youtube_id": "R528WbVdC0I", "relative_url": "/video/bailout-13--does-the-bailout-have-a-chance-of-working", "has_questions": false, "keywords": "bailout, 700, billion, paulson, bernanke, fed", "ka_url": "http://www.khanacademy.org/video/bailout-13--does-the-bailout-have-a-chance-of-working", "duration": 659, "translated_title": "Bailout 13: Does the bailout have a chance of working?", "translated_description_html": "Can the bailout work?", "id": "24678", "description_html": "Can the bailout work?", "title": "Bailout 13: Does the bailout have a chance of working?", "progress_key": "v24678", "edit_slug": "edit/v/24678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Can the bailout work?", "extra_properties": null, "node_slug": "v/bailout-13--does-the-bailout-have-a-chance-of-working", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.m3u8/R528WbVdC0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R528WbVdC0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24678", "sha": "a62bc83b009addf45b70a32226d6121de21860c0", "translated_description": "Can the bailout work?", "image_url": "https://img.youtube.com/vi/R528WbVdC0I/hqdefault.jpg", "youtube_id": "R528WbVdC0I", "content_kind": "Video", "readable_id": "bailout-13--does-the-bailout-have-a-chance-of-working"}, {"translated_youtube_id": "BdmI14oSe4g", "relative_url": "/video/bailout-14--possible-solution", "has_questions": false, "keywords": "bailout, paulson, bank, bernanke, credit, crisis", "ka_url": "http://www.khanacademy.org/video/bailout-14--possible-solution", "duration": 742, "translated_title": "Bailout 14: Possible solution", "translated_description_html": "A solution that is MUCH fairer that has a MUCH better chance of working!", "id": "24891", "description_html": "A solution that is MUCH fairer that has a MUCH better chance of working!", "title": "Bailout 14: Possible solution", "progress_key": "v24891", "edit_slug": "edit/v/24891", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A solution that is MUCH fairer that has a MUCH better chance of working!", "extra_properties": null, "node_slug": "v/bailout-14--possible-solution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.mp4/BdmI14oSe4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.mp4/BdmI14oSe4g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BdmI14oSe4g.m3u8/BdmI14oSe4g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BdmI14oSe4g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24891", "sha": "4d99c14ff5f23aacd0b735f7ac5d4c0e680a077b", "translated_description": "A solution that is MUCH fairer that has a MUCH better chance of working!", "image_url": "https://img.youtube.com/vi/BdmI14oSe4g/hqdefault.jpg", "youtube_id": "BdmI14oSe4g", "content_kind": "Video", "readable_id": "bailout-14--possible-solution"}, {"translated_youtube_id": "-KrSxA9NCf0", "relative_url": "/video/bailout-15--more-on-the-solution", "has_questions": false, "keywords": "paulson, bailout, fed, inflation, deflation, credit, crunch", "ka_url": "http://www.khanacademy.org/video/bailout-15--more-on-the-solution", "duration": 609, "translated_title": "Bailout 15: More on the solution", "translated_description_html": "More on the \"Plutsky Plan\".", "id": "24893", "description_html": "More on the \"Plutsky Plan\".", "title": "Bailout 15: More on the solution", "progress_key": "v24893", "edit_slug": "edit/v/24893", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the \"Plutsky Plan\".", "extra_properties": null, "node_slug": "v/bailout-15--more-on-the-solution", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.m3u8/-KrSxA9NCf0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-KrSxA9NCf0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24893", "sha": "3cbcf36477b6e78e3c9bd113979cb6c3209a31d9", "translated_description": "More on the \"Plutsky Plan\".", "image_url": "https://img.youtube.com/vi/-KrSxA9NCf0/hqdefault.jpg", "youtube_id": "-KrSxA9NCf0", "content_kind": "Video", "readable_id": "bailout-15--more-on-the-solution"}, {"translated_youtube_id": "_ZAlj2gu0eM", "relative_url": "/video/cnn--understanding-the-crisis", "has_questions": false, "keywords": "credit, crisis, bailout, paulson, bernanke, banks, TARP", "ka_url": "http://www.khanacademy.org/video/cnn--understanding-the-crisis", "duration": 876, "translated_title": "CNN: Understanding the crisis", "translated_description_html": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "id": "6022692", "description_html": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "title": "CNN: Understanding the crisis", "progress_key": "v6022692", "edit_slug": "edit/v/6022692", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "extra_properties": null, "node_slug": "v/cnn--understanding-the-crisis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:48:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.m3u8/_ZAlj2gu0eM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ZAlj2gu0eM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022692", "sha": "1c3e3ac9c7624e5ec7aec3de5c94f8cd062af6e3", "translated_description": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", "image_url": "https://img.youtube.com/vi/_ZAlj2gu0eM/hqdefault.jpg", "youtube_id": "_ZAlj2gu0eM", "content_kind": "Video", "readable_id": "cnn--understanding-the-crisis"}], "twitter_url": "", "translated_description": "In 2008, the entire financial system was at a potential breaking point because of a popping housing bubble. This tutorial breaks down how the government attempted to address this (historical note: Sal made these videos as the crisis was unfolding).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In 2008, the entire financial system was at a potential breaking point because of a popping housing bubble. This tutorial breaks down how the government attempted to address this (historical note: Sal made these videos as the crisis was unfolding).", "x_pos": 0.0, "node_slug": "bank-bailout", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0b27fe22", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/bank-bailout", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/bank-bailout", "slug": "bank-bailout", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b0e041f4b53db3aebb2e12d8da4a6bc18e2f8d11", "standalone_title": "2008 Bank bailout", "y_pos": 0.0, "current_revision_key": "b0e041f4b53db3aebb2e12d8da4a6bc18e2f8d11", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/geithner-plan", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan", "translated_standalone_title": "Geithner Plan", "translated_title": "Geithner plan", "gplus_url": "", "id": "x06ee4311", "old_key_name": "_Y2HlzNvo6L1nJIJVe5xmi83qPX9KQnNSBBHcCs-", "hide": false, "title": "Geithner plan", "child_data": [{"kind": "Video", "id": 424002}, {"kind": "Video", "id": 421004}, {"kind": "Video", "id": 392045}, {"kind": "Video", "id": 423003}, {"kind": "Video", "id": 410032}, {"kind": "Video", "id": 417003}], "children": [{"translated_youtube_id": "ervHbKa7R5g", "relative_url": "/video/geithner-plan-i", "has_questions": false, "keywords": "geithner, timothy, obama, plan, bailout, TALF, TARP", "ka_url": "http://www.khanacademy.org/video/geithner-plan-i", "duration": 842, "translated_title": "Geithner plan 1", "translated_description_html": "Overview of the Geithner Plan and the problem it is supposed to solve.", "id": "424002", "description_html": "Overview of the Geithner Plan and the problem it is supposed to solve.", "title": "Geithner plan 1", "progress_key": "v424002", "edit_slug": "edit/v/424002", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the Geithner Plan and the problem it is supposed to solve.", "extra_properties": null, "node_slug": "v/geithner-plan-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ervHbKa7R5g.mp4/ervHbKa7R5g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ervHbKa7R5g.mp4/ervHbKa7R5g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ervHbKa7R5g.m3u8/ervHbKa7R5g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ervHbKa7R5g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v424002", "sha": "05589c47de17ce144a02c72fd7a3ea871d0029fe", "translated_description": "Overview of the Geithner Plan and the problem it is supposed to solve.", "image_url": "https://img.youtube.com/vi/ervHbKa7R5g/hqdefault.jpg", "youtube_id": "ervHbKa7R5g", "content_kind": "Video", "readable_id": "geithner-plan-i"}, {"translated_youtube_id": "n-arbfLTCtI", "relative_url": "/video/geithner-plan-ii", "has_questions": false, "keywords": "timothy, geithner, bank, bailout, obama, tarp, talf", "ka_url": "http://www.khanacademy.org/video/geithner-plan-ii", "duration": 749, "translated_title": "Geithner plan 2", "translated_description_html": "More on the Geithner Plan. The problem of banks buying the assets from themselves.", "id": "421004", "description_html": "More on the Geithner Plan. The problem of banks buying the assets from themselves.", "title": "Geithner plan 2", "progress_key": "v421004", "edit_slug": "edit/v/421004", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on the Geithner Plan. The problem of banks buying the assets from themselves.", "extra_properties": null, "node_slug": "v/geithner-plan-ii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n-arbfLTCtI.mp4/n-arbfLTCtI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n-arbfLTCtI.mp4/n-arbfLTCtI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n-arbfLTCtI.m3u8/n-arbfLTCtI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n-arbfLTCtI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v421004", "sha": "73763a1e46a70025e82b73ef17d252471cd3961c", "translated_description": "More on the Geithner Plan. The problem of banks buying the assets from themselves.", "image_url": "https://img.youtube.com/vi/n-arbfLTCtI/hqdefault.jpg", "youtube_id": "n-arbfLTCtI", "content_kind": "Video", "readable_id": "geithner-plan-ii"}, {"translated_youtube_id": "0FxRYePmogU", "relative_url": "/video/geithner-plan-2-5", "has_questions": false, "keywords": "geithner, tim, TARP, bailout", "ka_url": "http://www.khanacademy.org/video/geithner-plan-2-5", "duration": 744, "translated_title": "Geithner plan 3", "translated_description_html": "More exotic ways that a bank could buy transfer exposure to the taxpayer.", "id": "392045", "description_html": "More exotic ways that a bank could buy transfer exposure to the taxpayer.", "title": "Geithner plan 3", "progress_key": "v392045", "edit_slug": "edit/v/392045", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "More exotic ways that a bank could buy transfer exposure to the taxpayer.", "extra_properties": null, "node_slug": "v/geithner-plan-2-5", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0FxRYePmogU.mp4/0FxRYePmogU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0FxRYePmogU.mp4/0FxRYePmogU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0FxRYePmogU.m3u8/0FxRYePmogU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0FxRYePmogU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v392045", "sha": "b0738bfe5cfce9bc905bac7af735623c207564a7", "translated_description": "More exotic ways that a bank could buy transfer exposure to the taxpayer.", "image_url": "https://img.youtube.com/vi/0FxRYePmogU/hqdefault.jpg", "youtube_id": "0FxRYePmogU", "content_kind": "Video", "readable_id": "geithner-plan-2-5"}, {"translated_youtube_id": "_ka1HZS-Egc", "relative_url": "/video/geithner-plan-iii", "has_questions": false, "keywords": "geithner, timothy, obama, plan, bailout, TALF, TARP", "ka_url": "http://www.khanacademy.org/video/geithner-plan-iii", "duration": 802, "translated_title": "Geithner plan 4", "translated_description_html": "Constructing an investment where an investor gets the same upside while the program limits the downside.", "id": "423003", "description_html": "Constructing an investment where an investor gets the same upside while the program limits the downside.", "title": "Geithner plan 4", "progress_key": "v423003", "edit_slug": "edit/v/423003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Constructing an investment where an investor gets the same upside while the program limits the downside.", "extra_properties": null, "node_slug": "v/geithner-plan-iii", "deleted": false, "backup_timestamp": "2013-09-21T10:38:49Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ka1HZS-Egc.mp4/_ka1HZS-Egc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_ka1HZS-Egc.mp4/_ka1HZS-Egc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ka1HZS-Egc.m3u8/_ka1HZS-Egc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_ka1HZS-Egc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v423003", "sha": "6053d4e27850cac518f15f43013a48f9a3b152d7", "translated_description": "Constructing an investment where an investor gets the same upside while the program limits the downside.", "image_url": "https://img.youtube.com/vi/_ka1HZS-Egc/hqdefault.jpg", "youtube_id": "_ka1HZS-Egc", "content_kind": "Video", "readable_id": "geithner-plan-iii"}, {"translated_youtube_id": "ajl1UdtYUCA", "relative_url": "/video/geithner-plan-iv", "has_questions": false, "keywords": "geithner, timothy, obama, plan, bailout, put, option, TALF, TARP", "ka_url": "http://www.khanacademy.org/video/geithner-plan-iv", "duration": 841, "translated_title": "Geithner plan 5", "translated_description_html": "Quantifying the value of the put option", "id": "410032", "description_html": "Quantifying the value of the put option", "title": "Geithner plan 5", "progress_key": "v410032", "edit_slug": "edit/v/410032", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Quantifying the value of the put option", "extra_properties": null, "node_slug": "v/geithner-plan-iv", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ajl1UdtYUCA.mp4/ajl1UdtYUCA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ajl1UdtYUCA.mp4/ajl1UdtYUCA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ajl1UdtYUCA.m3u8/ajl1UdtYUCA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ajl1UdtYUCA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v410032", "sha": "57ca8f6d09709de33bf3099d7bf207c8e5db246f", "translated_description": "Quantifying the value of the put option", "image_url": "https://img.youtube.com/vi/ajl1UdtYUCA/hqdefault.jpg", "youtube_id": "ajl1UdtYUCA", "content_kind": "Video", "readable_id": "geithner-plan-iv"}, {"translated_youtube_id": "kpqSeXpiM6k", "relative_url": "/video/geithner-5--a-better-solution", "has_questions": false, "keywords": "toxic, asset, price, discovery, geithner, obama", "ka_url": "http://www.khanacademy.org/video/geithner-5--a-better-solution", "duration": 618, "translated_title": "Geithner plan 6: A better solution", "translated_description_html": "A better way to solve the \"liquidity\" and \"price discovery\" problem.", "id": "417003", "description_html": "A better way to solve the \"liquidity\" and \"price discovery\" problem.", "title": "Geithner plan 6: A better solution", "progress_key": "v417003", "edit_slug": "edit/v/417003", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A better way to solve the \"liquidity\" and \"price discovery\" problem.", "extra_properties": null, "node_slug": "v/geithner-5--a-better-solution", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:43:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpqSeXpiM6k.mp4/kpqSeXpiM6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpqSeXpiM6k.mp4/kpqSeXpiM6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kpqSeXpiM6k.m3u8/kpqSeXpiM6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kpqSeXpiM6k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v417003", "sha": "41a137fc44296a82b3336a3f223448ee3353cf57", "translated_description": "A better way to solve the \"liquidity\" and \"price discovery\" problem.", "image_url": "https://img.youtube.com/vi/kpqSeXpiM6k/hqdefault.jpg", "youtube_id": "kpqSeXpiM6k", "content_kind": "Video", "readable_id": "geithner-5--a-better-solution"}], "twitter_url": "", "translated_description": "The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan.\n\nVideos on the Geithner Plan to solve the continuing banking crisis in early 2009.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan.\n\nVideos on the Geithner Plan to solve the continuing banking crisis in early 2009.", "x_pos": 0.0, "node_slug": "geithner-plan", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax06ee4311", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/geithner-plan", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/geithner-plan", "slug": "geithner-plan", "tags": ["geithner", "geitner", "obama", "plan", "bailout", "banking", "financial", "crisis"], "kind": "Topic", "in_topic_browser": true, "sha": "88c615a9c9166ca1b90b42ae2673129dd725bb89", "standalone_title": "Geithner Plan", "y_pos": 0.0, "current_revision_key": "88c615a9c9166ca1b90b42ae2673129dd725bb89", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/currency-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/currency-tutorial", "translated_standalone_title": "Currency", "translated_title": "Foreign exchange and trade", "gplus_url": "", "id": "xa59693c5", "old_key_name": "kpaKavt-HckZS6hglcjOe4KVc1KZksPsvL2MgRSu", "hide": false, "title": "Foreign exchange and trade", "child_data": [{"kind": "Video", "id": 6022735}, {"kind": "Video", "id": 6022736}, {"kind": "Video", "id": 6022737}, {"kind": "Video", "id": 6022738}, {"kind": "Video", "id": 6022739}, {"kind": "Video", "id": 6022740}, {"kind": "Video", "id": 6022741}, {"kind": "Video", "id": 42120198}, {"kind": "Video", "id": 215390220}], "children": [{"translated_youtube_id": "itoNb1lb5hY", "relative_url": "/video/currency-exchange-introduction", "has_questions": false, "keywords": "Currency, Introduction, Exchange, Yuan, Renminbi", "ka_url": "http://www.khanacademy.org/video/currency-exchange-introduction", "duration": 724, "translated_title": "Currency exchange introduction", "translated_description_html": "Introduction to how exchange rates can fluctuate", "id": "6022735", "description_html": "Introduction to how exchange rates can fluctuate", "title": "Currency exchange introduction", "progress_key": "v6022735", "edit_slug": "edit/v/6022735", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to how exchange rates can fluctuate", "extra_properties": null, "node_slug": "v/currency-exchange-introduction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/itoNb1lb5hY.mp4/itoNb1lb5hY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itoNb1lb5hY.mp4/itoNb1lb5hY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/itoNb1lb5hY.m3u8/itoNb1lb5hY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=itoNb1lb5hY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022735", "sha": "d8318fed017841e35439568cc21b727ecba05681", "translated_description": "Introduction to how exchange rates can fluctuate", "image_url": "https://img.youtube.com/vi/itoNb1lb5hY/hqdefault.jpg", "youtube_id": "itoNb1lb5hY", "content_kind": "Video", "readable_id": "currency-exchange-introduction"}, {"translated_youtube_id": "5HVCFrXQ9pw", "relative_url": "/video/currency-effect-on-trade", "has_questions": false, "keywords": "Currency, Effect, on, Trade, Yuan, Renminbi", "ka_url": "http://www.khanacademy.org/video/currency-effect-on-trade", "duration": 860, "translated_title": "Currency effect on trade", "translated_description_html": "Currency Effect on Trade", "id": "6022736", "description_html": "Currency Effect on Trade", "title": "Currency effect on trade", "progress_key": "v6022736", "edit_slug": "edit/v/6022736", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Currency Effect on Trade", "extra_properties": null, "node_slug": "v/currency-effect-on-trade", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.mp4/5HVCFrXQ9pw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.mp4/5HVCFrXQ9pw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.m3u8/5HVCFrXQ9pw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5HVCFrXQ9pw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022736", "sha": "79121e92ef63896d7ecd232569387d9ca845cd04", "translated_description": "Currency Effect on Trade", "image_url": "https://img.youtube.com/vi/5HVCFrXQ9pw/hqdefault.jpg", "youtube_id": "5HVCFrXQ9pw", "content_kind": "Video", "readable_id": "currency-effect-on-trade"}, {"translated_youtube_id": "Ysk1ySejuCQ", "relative_url": "/video/currency-effect-on-trade-review", "has_questions": false, "keywords": "Currency, Effect, on, Trade, Review", "ka_url": "http://www.khanacademy.org/video/currency-effect-on-trade-review", "duration": 606, "translated_title": "Currency effect on trade review", "translated_description_html": "Currency Effect on Trade Review", "id": "6022737", "description_html": "Currency Effect on Trade Review", "title": "Currency effect on trade review", "progress_key": "v6022737", "edit_slug": "edit/v/6022737", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Currency Effect on Trade Review", "extra_properties": null, "node_slug": "v/currency-effect-on-trade-review", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ysk1ySejuCQ.mp4/Ysk1ySejuCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ysk1ySejuCQ.mp4/Ysk1ySejuCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ysk1ySejuCQ.m3u8/Ysk1ySejuCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ysk1ySejuCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022737", "sha": "559ecf61edfeedc835f6a7ca4a43b492fd64806f", "translated_description": "Currency Effect on Trade Review", "image_url": "https://img.youtube.com/vi/Ysk1ySejuCQ/hqdefault.jpg", "youtube_id": "Ysk1ySejuCQ", "content_kind": "Video", "readable_id": "currency-effect-on-trade-review"}, {"translated_youtube_id": "S-9iY1OgbDE", "relative_url": "/video/pegging-the-yuan", "has_questions": false, "keywords": "yuan, dollar, renminbi, peg, currency, reserve, central, bank, china", "ka_url": "http://www.khanacademy.org/video/pegging-the-yuan", "duration": 412, "translated_title": "Pegging the yuan", "translated_description_html": "How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)", "id": "6022738", "description_html": "How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)", "title": "Pegging the yuan", "progress_key": "v6022738", "edit_slug": "edit/v/6022738", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)", "extra_properties": null, "node_slug": "v/pegging-the-yuan", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S-9iY1OgbDE.mp4/S-9iY1OgbDE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S-9iY1OgbDE.mp4/S-9iY1OgbDE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S-9iY1OgbDE.m3u8/S-9iY1OgbDE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S-9iY1OgbDE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022738", "sha": "88485c4df096486c75bc29551a90a0c690d1dd29", "translated_description": "How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)", "image_url": "https://img.youtube.com/vi/S-9iY1OgbDE/hqdefault.jpg", "youtube_id": "S-9iY1OgbDE", "content_kind": "Video", "readable_id": "pegging-the-yuan"}, {"translated_youtube_id": "MN4SWiEEqKo", "relative_url": "/video/chinese-central-bank-buying-treasuries", "has_questions": false, "keywords": "Chinese, Central, Bank, Buying, Treasuries, yuan, renminbi", "ka_url": "http://www.khanacademy.org/video/chinese-central-bank-buying-treasuries", "duration": 730, "translated_title": "Chinese Central Bank buying treasuries", "translated_description_html": "Chinese Central Bank Buying Treasuries", "id": "6022739", "description_html": "Chinese Central Bank Buying Treasuries", "title": "Chinese Central Bank buying treasuries", "progress_key": "v6022739", "edit_slug": "edit/v/6022739", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chinese Central Bank Buying Treasuries", "extra_properties": null, "node_slug": "v/chinese-central-bank-buying-treasuries", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MN4SWiEEqKo.mp4/MN4SWiEEqKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MN4SWiEEqKo.mp4/MN4SWiEEqKo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MN4SWiEEqKo.m3u8/MN4SWiEEqKo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MN4SWiEEqKo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022739", "sha": "a80de91e40144379930d8401c574b13e0718f74a", "translated_description": "Chinese Central Bank Buying Treasuries", "image_url": "https://img.youtube.com/vi/MN4SWiEEqKo/hqdefault.jpg", "youtube_id": "MN4SWiEEqKo", "content_kind": "Video", "readable_id": "chinese-central-bank-buying-treasuries"}, {"translated_youtube_id": "m5xu4r0szaA", "relative_url": "/video/american-chinese-debt-loop", "has_questions": false, "keywords": "china, america, us, debt, currency, crisis", "ka_url": "http://www.khanacademy.org/video/american-chinese-debt-loop", "duration": 927, "translated_title": "American-Chinese debt loop", "translated_description_html": "How the Chinese buying of American debt leads to lower interest rates", "id": "6022740", "description_html": "How the Chinese buying of American debt leads to lower interest rates", "title": "American-Chinese debt loop", "progress_key": "v6022740", "edit_slug": "edit/v/6022740", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the Chinese buying of American debt leads to lower interest rates", "extra_properties": null, "node_slug": "v/american-chinese-debt-loop", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-02-20T16:38:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5xu4r0szaA.mp4/m5xu4r0szaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5xu4r0szaA.mp4/m5xu4r0szaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5xu4r0szaA.m3u8/m5xu4r0szaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5xu4r0szaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022740", "sha": "83f20ef23f04d75cce96b4cd7d8aa18a5c824068", "translated_description": "How the Chinese buying of American debt leads to lower interest rates", "image_url": "https://img.youtube.com/vi/m5xu4r0szaA/hqdefault.jpg", "youtube_id": "m5xu4r0szaA", "content_kind": "Video", "readable_id": "american-chinese-debt-loop"}, {"translated_youtube_id": "XBI7DqttyOQ", "relative_url": "/video/debt-loops-rationale-and-effects", "has_questions": false, "keywords": "renminbi, china, currency, export, growth", "ka_url": "http://www.khanacademy.org/video/debt-loops-rationale-and-effects", "duration": 744, "translated_title": "Debt loops rationale and effects", "translated_description_html": "Positive and negative effects of China's devaluing of their currency", "id": "6022741", "description_html": "Positive and negative effects of China's devaluing of their currency", "title": "Debt loops rationale and effects", "progress_key": "v6022741", "edit_slug": "edit/v/6022741", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Positive and negative effects of China's devaluing of their currency", "extra_properties": null, "node_slug": "v/debt-loops-rationale-and-effects", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:38:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XBI7DqttyOQ.mp4/XBI7DqttyOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XBI7DqttyOQ.mp4/XBI7DqttyOQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XBI7DqttyOQ.m3u8/XBI7DqttyOQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XBI7DqttyOQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022741", "sha": "24db86d58e8b82b298e7071b13f735df1967d68c", "translated_description": "Positive and negative effects of China's devaluing of their currency", "image_url": "https://img.youtube.com/vi/XBI7DqttyOQ/hqdefault.jpg", "youtube_id": "XBI7DqttyOQ", "content_kind": "Video", "readable_id": "debt-loops-rationale-and-effects"}, {"translated_youtube_id": "4aNoZjAhSr8", "relative_url": "/video/china-keeps-peg-but-diversifies-holdings", "has_questions": false, "keywords": "China, keeps, peg, but, diversifies, holdings", "ka_url": "http://www.khanacademy.org/video/china-keeps-peg-but-diversifies-holdings", "duration": 256, "translated_title": "China keeps peg but diversifies holdings", "translated_description_html": "China keeps peg but diversifies holdings", "id": "42120198", "description_html": "China keeps peg but diversifies holdings", "title": "China keeps peg but diversifies holdings", "progress_key": "v42120198", "edit_slug": "edit/v/42120198", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "China keeps peg but diversifies holdings", "extra_properties": null, "node_slug": "v/china-keeps-peg-but-diversifies-holdings", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-25T14:02:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4aNoZjAhSr8.mp4/4aNoZjAhSr8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4aNoZjAhSr8.mp4/4aNoZjAhSr8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4aNoZjAhSr8.m3u8/4aNoZjAhSr8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4aNoZjAhSr8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42120198", "sha": "e08944be6efa76df799fb9f8bbebda530c4748d1", "translated_description": "China keeps peg but diversifies holdings", "image_url": "https://img.youtube.com/vi/4aNoZjAhSr8/hqdefault.jpg", "youtube_id": "4aNoZjAhSr8", "content_kind": "Video", "readable_id": "china-keeps-peg-but-diversifies-holdings"}, {"translated_youtube_id": "8In5PK1yUAA", "relative_url": "/video/carry-trade-basics", "has_questions": false, "keywords": "finance, macro, economics, japan, iceland", "ka_url": "http://www.khanacademy.org/video/carry-trade-basics", "duration": 243, "translated_title": "Carry trade basics", "translated_description_html": "The mechanics of the carry trade", "id": "215390220", "description_html": "The mechanics of the carry trade", "title": "Carry trade basics", "progress_key": "v215390220", "edit_slug": "edit/v/215390220", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The mechanics of the carry trade", "extra_properties": null, "node_slug": "v/carry-trade-basics", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-08-27T10:00:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.mp4/8In5PK1yUAA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.mp4/8In5PK1yUAA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.m3u8/8In5PK1yUAA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8In5PK1yUAA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v215390220", "sha": "c86d9e8dde1bb0127ad4478edf368a3ee7965184", "translated_description": "The mechanics of the carry trade", "image_url": "https://img.youtube.com/vi/8In5PK1yUAA/hqdefault.jpg", "youtube_id": "8In5PK1yUAA", "content_kind": "Video", "readable_id": "carry-trade-basics"}], "twitter_url": "", "translated_description": "This tutorial walks through how China's undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial walks through how China's undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.).", "x_pos": 0.0, "node_slug": "currency-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa59693c5", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/currency-tutorial", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/currency-tutorial", "slug": "currency-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c7ffc7084d2e4df0bb0ca2fe2e94f34a73da6fc7", "standalone_title": "Currency", "y_pos": 0.0, "current_revision_key": "c7ffc7084d2e4df0bb0ca2fe2e94f34a73da6fc7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation", "translated_standalone_title": "Chinese currency and U.S. debt", "translated_title": "Chinese currency and U.S. debt", "gplus_url": "", "id": "xdd28c02b", "old_key_name": "wpN_nR5G2Etr0rVtH4SMregcaftkA6p1r8gJBU8b", "hide": false, "title": "Chinese currency and U.S. debt", "child_data": [{"kind": "Video", "id": 42110725}, {"kind": "Video", "id": 42110726}, {"kind": "Video", "id": 42110727}, {"kind": "Video", "id": 42110728}, {"kind": "Video", "id": 42110729}, {"kind": "Video", "id": 42110730}, {"kind": "Video", "id": 42110731}, {"kind": "Video", "id": 42110732}, {"kind": "Video", "id": 42110733}, {"kind": "Video", "id": 42110734}], "children": [{"translated_youtube_id": "wNYFJsC8TZE", "relative_url": "/video/floating-exchange-resolving-trade-imbalance", "has_questions": false, "keywords": "Floating, Exchange, Resolving, Trade, Imbalance", "ka_url": "http://www.khanacademy.org/video/floating-exchange-resolving-trade-imbalance", "duration": 246, "translated_title": "Floating exchange resolving trade imbalance", "translated_description_html": "Floating Exchange Resolving Trade Imbalance", "id": "42110725", "description_html": "Floating Exchange Resolving Trade Imbalance", "title": "Floating exchange resolving trade imbalance", "progress_key": "v42110725", "edit_slug": "edit/v/42110725", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Floating Exchange Resolving Trade Imbalance", "extra_properties": null, "node_slug": "v/floating-exchange-resolving-trade-imbalance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wNYFJsC8TZE.mp4/wNYFJsC8TZE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wNYFJsC8TZE.mp4/wNYFJsC8TZE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wNYFJsC8TZE.m3u8/wNYFJsC8TZE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wNYFJsC8TZE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110725", "sha": "33fd9780759286a8e01886636294496e5b12f21f", "translated_description": "Floating Exchange Resolving Trade Imbalance", "image_url": "https://img.youtube.com/vi/wNYFJsC8TZE/hqdefault.jpg", "youtube_id": "wNYFJsC8TZE", "content_kind": "Video", "readable_id": "floating-exchange-resolving-trade-imbalance"}, {"translated_youtube_id": "uTlh861MtYk", "relative_url": "/video/china-pegs-to-dollar-to-keep-trade-imbalance", "has_questions": false, "keywords": "China, Pegs, to, Dollar, Keep, Trade, Imbalance", "ka_url": "http://www.khanacademy.org/video/china-pegs-to-dollar-to-keep-trade-imbalance", "duration": 181, "translated_title": "China pegs to dollar to keep trade imbalance", "translated_description_html": "China Pegs to Dollar to Keep Trade Imbalance", "id": "42110726", "description_html": "China Pegs to Dollar to Keep Trade Imbalance", "title": "China pegs to dollar to keep trade imbalance", "progress_key": "v42110726", "edit_slug": "edit/v/42110726", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "China Pegs to Dollar to Keep Trade Imbalance", "extra_properties": null, "node_slug": "v/china-pegs-to-dollar-to-keep-trade-imbalance", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uTlh861MtYk.mp4/uTlh861MtYk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uTlh861MtYk.mp4/uTlh861MtYk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uTlh861MtYk.m3u8/uTlh861MtYk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uTlh861MtYk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110726", "sha": "fad9a02fd962beac3a237561844926eae636793f", "translated_description": "China Pegs to Dollar to Keep Trade Imbalance", "image_url": "https://img.youtube.com/vi/uTlh861MtYk/hqdefault.jpg", "youtube_id": "uTlh861MtYk", "content_kind": "Video", "readable_id": "china-pegs-to-dollar-to-keep-trade-imbalance"}, {"translated_youtube_id": "Dfkq9SOWxY8", "relative_url": "/video/china-buys-us-bonds", "has_questions": false, "keywords": "China, buys, US, Bonds", "ka_url": "http://www.khanacademy.org/video/china-buys-us-bonds", "duration": 171, "translated_title": "China buys US bonds", "translated_description_html": "China buys US Bonds", "id": "42110727", "description_html": "China buys US Bonds", "title": "China buys US bonds", "progress_key": "v42110727", "edit_slug": "edit/v/42110727", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "China buys US Bonds", "extra_properties": null, "node_slug": "v/china-buys-us-bonds", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dfkq9SOWxY8.mp4/Dfkq9SOWxY8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dfkq9SOWxY8.mp4/Dfkq9SOWxY8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dfkq9SOWxY8.m3u8/Dfkq9SOWxY8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dfkq9SOWxY8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110727", "sha": "ca9ac3279137951a9cf472c7877dc0337778ad86", "translated_description": "China buys US Bonds", "image_url": "https://img.youtube.com/vi/Dfkq9SOWxY8/hqdefault.jpg", "youtube_id": "Dfkq9SOWxY8", "content_kind": "Video", "readable_id": "china-buys-us-bonds"}, {"translated_youtube_id": "DtlFQ_nNaQM", "relative_url": "/video/review-of-china-us-currency-situation", "has_questions": false, "keywords": "Review, of, China, US, currency, situation", "ka_url": "http://www.khanacademy.org/video/review-of-china-us-currency-situation", "duration": 156, "translated_title": "Review of China US currency situation", "translated_description_html": "Review of China US currency situation", "id": "42110728", "description_html": "Review of China US currency situation", "title": "Review of China US currency situation", "progress_key": "v42110728", "edit_slug": "edit/v/42110728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Review of China US currency situation", "extra_properties": null, "node_slug": "v/review-of-china-us-currency-situation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DtlFQ_nNaQM.mp4/DtlFQ_nNaQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DtlFQ_nNaQM.mp4/DtlFQ_nNaQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DtlFQ_nNaQM.m3u8/DtlFQ_nNaQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DtlFQ_nNaQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110728", "sha": "309bc39a01266d0ce8f665e6c3f11926c81fadea", "translated_description": "Review of China US currency situation", "image_url": "https://img.youtube.com/vi/DtlFQ_nNaQM/hqdefault.jpg", "youtube_id": "DtlFQ_nNaQM", "content_kind": "Video", "readable_id": "review-of-china-us-currency-situation"}, {"translated_youtube_id": "4Azskeheo_g", "relative_url": "/video/data-on-chinese-m1-increase-in-2010", "has_questions": false, "keywords": "Data, on, Chinese, M1, Increase, in, 2010", "ka_url": "http://www.khanacademy.org/video/data-on-chinese-m1-increase-in-2010", "duration": 192, "translated_title": "Data on Chinese M1 increase in 2010", "translated_description_html": "Data on Chinese M1 Increase in 2010", "id": "42110729", "description_html": "Data on Chinese M1 Increase in 2010", "title": "Data on Chinese M1 increase in 2010", "progress_key": "v42110729", "edit_slug": "edit/v/42110729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Data on Chinese M1 Increase in 2010", "extra_properties": null, "node_slug": "v/data-on-chinese-m1-increase-in-2010", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Azskeheo_g.mp4/4Azskeheo_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Azskeheo_g.mp4/4Azskeheo_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Azskeheo_g.m3u8/4Azskeheo_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Azskeheo_g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110729", "sha": "d4103bfe887cd07a0284b965659c2ef1bc94099c", "translated_description": "Data on Chinese M1 Increase in 2010", "image_url": "https://img.youtube.com/vi/4Azskeheo_g/hqdefault.jpg", "youtube_id": "4Azskeheo_g", "content_kind": "Video", "readable_id": "data-on-chinese-m1-increase-in-2010"}, {"translated_youtube_id": "a3NFAnHxpKw", "relative_url": "/video/data-on-chinese-foreign-assets-increase-in-2010", "has_questions": false, "keywords": "Data, on, Chinese, Foreign, Assets, Increase, in, 2010", "ka_url": "http://www.khanacademy.org/video/data-on-chinese-foreign-assets-increase-in-2010", "duration": 221, "translated_title": "Data on Chinese foreign assets increase in 2010", "translated_description_html": "Data on Chinese Foreign Assets Increase in 2010", "id": "42110730", "description_html": "Data on Chinese Foreign Assets Increase in 2010", "title": "Data on Chinese foreign assets increase in 2010", "progress_key": "v42110730", "edit_slug": "edit/v/42110730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Data on Chinese Foreign Assets Increase in 2010", "extra_properties": null, "node_slug": "v/data-on-chinese-foreign-assets-increase-in-2010", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a3NFAnHxpKw.mp4/a3NFAnHxpKw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a3NFAnHxpKw.mp4/a3NFAnHxpKw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a3NFAnHxpKw.m3u8/a3NFAnHxpKw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a3NFAnHxpKw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110730", "sha": "ca9db3cd641895a9039b057653100364a1f9caa9", "translated_description": "Data on Chinese Foreign Assets Increase in 2010", "image_url": "https://img.youtube.com/vi/a3NFAnHxpKw/hqdefault.jpg", "youtube_id": "a3NFAnHxpKw", "content_kind": "Video", "readable_id": "data-on-chinese-foreign-assets-increase-in-2010"}, {"translated_youtube_id": "iNemmT1hnzA", "relative_url": "/video/data-on-chinese-us-balance-of-payments", "has_questions": false, "keywords": "Data, on, Chinese, US, Balance, of, Payments", "ka_url": "http://www.khanacademy.org/video/data-on-chinese-us-balance-of-payments", "duration": 257, "translated_title": "Data on Chinese US balance of payments", "translated_description_html": "Data on Chinese US Balance of Payments", "id": "42110731", "description_html": "Data on Chinese US Balance of Payments", "title": "Data on Chinese US balance of payments", "progress_key": "v42110731", "edit_slug": "edit/v/42110731", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Data on Chinese US Balance of Payments", "extra_properties": null, "node_slug": "v/data-on-chinese-us-balance-of-payments", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iNemmT1hnzA.mp4/iNemmT1hnzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iNemmT1hnzA.mp4/iNemmT1hnzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iNemmT1hnzA.m3u8/iNemmT1hnzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iNemmT1hnzA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110731", "sha": "886fb71ed5a1bf615a5db8a3e3646b4068b46bef", "translated_description": "Data on Chinese US Balance of Payments", "image_url": "https://img.youtube.com/vi/iNemmT1hnzA/hqdefault.jpg", "youtube_id": "iNemmT1hnzA", "content_kind": "Video", "readable_id": "data-on-chinese-us-balance-of-payments"}, {"translated_youtube_id": "R_-V6usZJsc", "relative_url": "/video/chinese-inflation", "has_questions": false, "keywords": "Chinese, inflation", "ka_url": "http://www.khanacademy.org/video/chinese-inflation", "duration": 202, "translated_title": "Chinese inflation", "translated_description_html": "Chinese inflation", "id": "42110732", "description_html": "Chinese inflation", "title": "Chinese inflation", "progress_key": "v42110732", "edit_slug": "edit/v/42110732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Chinese inflation", "extra_properties": null, "node_slug": "v/chinese-inflation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_-V6usZJsc.mp4/R_-V6usZJsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_-V6usZJsc.mp4/R_-V6usZJsc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R_-V6usZJsc.m3u8/R_-V6usZJsc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R_-V6usZJsc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110732", "sha": "24a98db5ec2e98d6dc41c5530d39e5c58c810bca", "translated_description": "Chinese inflation", "image_url": "https://img.youtube.com/vi/R_-V6usZJsc/hqdefault.jpg", "youtube_id": "R_-V6usZJsc", "content_kind": "Video", "readable_id": "chinese-inflation"}, {"translated_youtube_id": "vrGNXAGmfCM", "relative_url": "/video/floating-exchange-effect-on-china", "has_questions": false, "keywords": "Floating, Exchange, Effect, on, China", "ka_url": "http://www.khanacademy.org/video/floating-exchange-effect-on-china", "duration": 206, "translated_title": "Floating exchange effect on China", "translated_description_html": "Floating Exchange Effect on China", "id": "42110733", "description_html": "Floating Exchange Effect on China", "title": "Floating exchange effect on China", "progress_key": "v42110733", "edit_slug": "edit/v/42110733", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Floating Exchange Effect on China", "extra_properties": null, "node_slug": "v/floating-exchange-effect-on-china", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vrGNXAGmfCM.mp4/vrGNXAGmfCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vrGNXAGmfCM.mp4/vrGNXAGmfCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vrGNXAGmfCM.m3u8/vrGNXAGmfCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vrGNXAGmfCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110733", "sha": "f20080c65b4603a026ddfd2d4a95a6b78fc4c23f", "translated_description": "Floating Exchange Effect on China", "image_url": "https://img.youtube.com/vi/vrGNXAGmfCM/hqdefault.jpg", "youtube_id": "vrGNXAGmfCM", "content_kind": "Video", "readable_id": "floating-exchange-effect-on-china"}, {"translated_youtube_id": "K0GF4FT51qY", "relative_url": "/video/floating-exchange-effect-on-us", "has_questions": false, "keywords": "Floating, Exchange, Effect, on, US", "ka_url": "http://www.khanacademy.org/video/floating-exchange-effect-on-us", "duration": 256, "translated_title": "Floating exchange effect on US", "translated_description_html": "Floating Exchange Effect on US", "id": "42110734", "description_html": "Floating Exchange Effect on US", "title": "Floating exchange effect on US", "progress_key": "v42110734", "edit_slug": "edit/v/42110734", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Floating Exchange Effect on US", "extra_properties": null, "node_slug": "v/floating-exchange-effect-on-us", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-25T14:03:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K0GF4FT51qY.mp4/K0GF4FT51qY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K0GF4FT51qY.mp4/K0GF4FT51qY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K0GF4FT51qY.m3u8/K0GF4FT51qY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K0GF4FT51qY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110734", "sha": "2dab2d1e186e2ab21180f68125623742bad25148", "translated_description": "Floating Exchange Effect on US", "image_url": "https://img.youtube.com/vi/K0GF4FT51qY/hqdefault.jpg", "youtube_id": "K0GF4FT51qY", "content_kind": "Video", "readable_id": "floating-exchange-effect-on-us"}], "twitter_url": "", "translated_description": "This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt. This is key for understanding the current global macro picture.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt. This is key for understanding the current global macro picture.", "x_pos": 0.0, "node_slug": "china-us-debt-situation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd28c02b", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation", "slug": "china-us-debt-situation", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "98eefe9d9ff5b08434d0285e80e1a4a8564c761e", "standalone_title": "Chinese currency and U.S. debt", "y_pos": 0.0, "current_revision_key": "98eefe9d9ff5b08434d0285e80e1a4a8564c761e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/greek-debt-crisis", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/greek-debt-crisis", "translated_standalone_title": "Greek Debt Crisis", "translated_title": "2011-2012 Greek debt crisis", "gplus_url": "", "id": "x0a1428a7", "old_key_name": "e__zxFqUpkdsek8Blk261yEbD6AVigiCRiwMxV3l", "hide": false, "title": "2011-2012 Greek debt crisis", "child_data": [{"kind": "Video", "id": 796502981}, {"kind": "Video", "id": 796434657}, {"kind": "Video", "id": 796307891}, {"kind": "Video", "id": 796535894}], "children": [{"translated_youtube_id": "9p10aMu1Glo", "relative_url": "/video/greek-debt-recession-and-austerity--part-1", "has_questions": false, "keywords": "EU, crisis, greece, italy, spain", "ka_url": "http://www.khanacademy.org/video/greek-debt-recession-and-austerity--part-1", "duration": 420, "translated_title": "Greek debt recession and austerity (part 1)", "translated_description_html": "A primer of why Greece is in a tough situation (more in future videos)", "id": "796502981", "description_html": "A primer of why Greece is in a tough situation (more in future videos)", "title": "Greek debt recession and austerity (part 1)", "progress_key": "v796502981", "edit_slug": "edit/v/796502981", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A primer of why Greece is in a tough situation (more in future videos)", "extra_properties": null, "node_slug": "v/greek-debt-recession-and-austerity--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:56:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.mp4/9p10aMu1Glo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.mp4/9p10aMu1Glo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9p10aMu1Glo.m3u8/9p10aMu1Glo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9p10aMu1Glo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796502981", "sha": "b4c9a93828a478420d6f0c2dd485817a7aace2b5", "translated_description": "A primer of why Greece is in a tough situation (more in future videos)", "image_url": "https://img.youtube.com/vi/9p10aMu1Glo/hqdefault.jpg", "youtube_id": "9p10aMu1Glo", "content_kind": "Video", "readable_id": "greek-debt-recession-and-austerity--part-1"}, {"translated_youtube_id": "CkNArgNPI2Y", "relative_url": "/video/greek-financial-crisis--part-2", "has_questions": false, "keywords": "greece, financial, crisis, eurozone, euro", "ka_url": "http://www.khanacademy.org/video/greek-financial-crisis--part-2", "duration": 636, "translated_title": "Greek financial crisis (part 2)", "translated_description_html": "What Greece could have done if it had its own currency", "id": "796434657", "description_html": "What Greece could have done if it had its own currency", "title": "Greek financial crisis (part 2)", "progress_key": "v796434657", "edit_slug": "edit/v/796434657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What Greece could have done if it had its own currency", "extra_properties": null, "node_slug": "v/greek-financial-crisis--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-21T17:57:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.mp4/CkNArgNPI2Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.mp4/CkNArgNPI2Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CkNArgNPI2Y.m3u8/CkNArgNPI2Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CkNArgNPI2Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796434657", "sha": "6d9df469fc17b596c1bc2765d4e04fad598ae81b", "translated_description": "What Greece could have done if it had its own currency", "image_url": "https://img.youtube.com/vi/CkNArgNPI2Y/hqdefault.jpg", "youtube_id": "CkNArgNPI2Y", "content_kind": "Video", "readable_id": "greek-financial-crisis--part-2"}, {"translated_youtube_id": "jkmwAJMERrY", "relative_url": "/video/how-and-why-greece-would-leave-the-euro--part-3", "has_questions": false, "keywords": "euro, greece, financial, crisis", "ka_url": "http://www.khanacademy.org/video/how-and-why-greece-would-leave-the-euro--part-3", "duration": 501, "translated_title": "How and why Greece would leave the Euro (part 3)", "translated_description_html": "The pain and mechanics of leaving the Euro", "id": "796307891", "description_html": "The pain and mechanics of leaving the Euro", "title": "How and why Greece would leave the Euro (part 3)", "progress_key": "v796307891", "edit_slug": "edit/v/796307891", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The pain and mechanics of leaving the Euro", "extra_properties": null, "node_slug": "v/how-and-why-greece-would-leave-the-euro--part-3", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T17:58:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.m3u8/jkmwAJMERrY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jkmwAJMERrY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796307891", "sha": "5c9016e4c6b7d762870a3efb849c781dbef10517", "translated_description": "The pain and mechanics of leaving the Euro", "image_url": "https://img.youtube.com/vi/jkmwAJMERrY/hqdefault.jpg", "youtube_id": "jkmwAJMERrY", "content_kind": "Video", "readable_id": "how-and-why-greece-would-leave-the-euro--part-3"}, {"translated_youtube_id": "xc-TSAQkqJ0", "relative_url": "/video/why-europe-is-worried-about-greece", "has_questions": false, "keywords": "eurozone, crisis, greece, marquee", "ka_url": "http://www.khanacademy.org/video/why-europe-is-worried-about-greece", "duration": 489, "translated_title": "Why Europe is worried about Greece", "translated_description_html": "Why the Greek situation is scary for Europe as a whole", "id": "796535894", "description_html": "Why the Greek situation is scary for Europe as a whole", "title": "Why Europe is worried about Greece", "progress_key": "v796535894", "edit_slug": "edit/v/796535894", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why the Greek situation is scary for Europe as a whole", "extra_properties": null, "node_slug": "v/why-europe-is-worried-about-greece", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-05-21T17:58:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.m3u8/xc-TSAQkqJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xc-TSAQkqJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v796535894", "sha": "ec92c6163a86997435470dbf35f090c826e70b14", "translated_description": "Why the Greek situation is scary for Europe as a whole", "image_url": "https://img.youtube.com/vi/xc-TSAQkqJ0/hqdefault.jpg", "youtube_id": "xc-TSAQkqJ0", "content_kind": "Video", "readable_id": "why-europe-is-worried-about-greece"}], "twitter_url": "", "translated_description": "The Greek government incurred debt beyond its means but didn't have control over its own currency to inflate away its obligations. From austerity, to a bailout, to leaving the Eurozone, none of the options looked great.\n\nIn this tutorial, Sal walks through the situation Greece was in and its options (these videos were made as the crisis was unfolding).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Greek government incurred debt beyond its means but didn't have control over its own currency to inflate away its obligations. From austerity, to a bailout, to leaving the Eurozone, none of the options looked great.\n\nIn this tutorial, Sal walks through the situation Greece was in and its options (these videos were made as the crisis was unfolding).", "x_pos": 0.0, "node_slug": "greek-debt-crisis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a1428a7", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/greek-debt-crisis", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/greek-debt-crisis", "slug": "greek-debt-crisis", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5affeeed2e830f10247efb37a4fa66a312f7b7ef", "standalone_title": "Greek Debt Crisis", "y_pos": 0.0, "current_revision_key": "5affeeed2e830f10247efb37a4fa66a312f7b7ef", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/money-and-banking/bitcoin", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bitcoin", "translated_standalone_title": "Bitcoin", "translated_title": "Bitcoin", "gplus_url": "", "id": "xa753311c", "old_key_name": null, "hide": false, "title": "Bitcoin", "child_data": [{"kind": "Video", "id": "xd4feea94"}, {"kind": "Video", "id": "xfb2b266d"}, {"kind": "Video", "id": "xf3571be9"}, {"kind": "Video", "id": "x4ac67e49"}, {"kind": "Video", "id": "x08193148"}, {"kind": "Video", "id": "xd145c045"}, {"kind": "Video", "id": "x8d6047cf"}, {"kind": "Video", "id": "xa64ed2dc"}, {"kind": "Video", "id": "x1c6e78b8"}], "children": [{"translated_youtube_id": "EA0LkCkvUeU", "relative_url": "/video/bitcoin-what-is-it", "has_questions": false, "keywords": "bitcoin, cryptography, economics, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-what-is-it", "duration": 548, "translated_title": "Bitcoin: What is it?", "translated_description_html": "What is bitcoin?", "id": "xd4feea94", "description_html": "What is bitcoin?", "title": "Bitcoin: What is it?", "progress_key": "vxd4feea94", "edit_slug": "edit/v/xd4feea94", "author_names": ["Zulfikar Ramzan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is bitcoin?", "extra_properties": {"originalUrl": ""}, "node_slug": "v/bitcoin-what-is-it", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-03T22:08:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EA0LkCkvUeU.mp4/EA0LkCkvUeU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EA0LkCkvUeU.mp4/EA0LkCkvUeU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EA0LkCkvUeU.m3u8/EA0LkCkvUeU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EA0LkCkvUeU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd4feea94", "sha": "06f1036ad71193d2854cb4c7d601c35878795adc", "translated_description": "What is bitcoin?", "image_url": "https://img.youtube.com/vi/EA0LkCkvUeU/hqdefault.jpg", "youtube_id": "EA0LkCkvUeU", "content_kind": "Video", "readable_id": "bitcoin-what-is-it"}, {"translated_youtube_id": "Y-w7SnQWwVA", "relative_url": "/video/bitcoin-overview", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-overview", "duration": 662, "translated_title": "Bitcoin: Overview", "translated_description_html": "An introduction to the mechanics of bitcoins and an overview of how transactions take place.", "id": "xfb2b266d", "description_html": "An introduction to the mechanics of bitcoins and an overview of how transactions take place.", "title": "Bitcoin: Overview", "progress_key": "vxfb2b266d", "edit_slug": "edit/v/xfb2b266d", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An introduction to the mechanics of bitcoins and an overview of how transactions take place.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-overview", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-02T03:38:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y-w7SnQWwVA.mp4/Y-w7SnQWwVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y-w7SnQWwVA.mp4/Y-w7SnQWwVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y-w7SnQWwVA.m3u8/Y-w7SnQWwVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y-w7SnQWwVA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfb2b266d", "sha": "c8b9a115de24689bab80b096e3cf642fc44b9529", "translated_description": "An introduction to the mechanics of bitcoins and an overview of how transactions take place.", "image_url": "https://img.youtube.com/vi/Y-w7SnQWwVA/hqdefault.jpg", "youtube_id": "Y-w7SnQWwVA", "content_kind": "Video", "readable_id": "bitcoin-overview"}, {"translated_youtube_id": "0WiTaBI82Mc", "relative_url": "/video/bitcoin-cryptographic-hash-function", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-cryptographic-hash-function", "duration": 614, "translated_title": "Bitcoin: Cryptographic hash functions", "translated_description_html": "What cryptographic hash functions are and what properties are desired of them.", "id": "xf3571be9", "description_html": "What cryptographic hash functions are and what properties are desired of them.", "title": "Bitcoin: Cryptographic hash functions", "progress_key": "vxf3571be9", "edit_slug": "edit/v/xf3571be9", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What cryptographic hash functions are and what properties are desired of them.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-cryptographic-hash-function", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-02T03:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0WiTaBI82Mc.mp4/0WiTaBI82Mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0WiTaBI82Mc.mp4/0WiTaBI82Mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0WiTaBI82Mc.m3u8/0WiTaBI82Mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0WiTaBI82Mc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf3571be9", "sha": "247a129a508fd8c7bdb7e4f0b1f2e10c6efe0098", "translated_description": "What cryptographic hash functions are and what properties are desired of them.", "image_url": "https://img.youtube.com/vi/0WiTaBI82Mc/hqdefault.jpg", "youtube_id": "0WiTaBI82Mc", "content_kind": "Video", "readable_id": "bitcoin-cryptographic-hash-function"}, {"translated_youtube_id": "Aq3a-_O2NcI", "relative_url": "/video/bitcoin-digital-signatures", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-digital-signatures", "duration": 588, "translated_title": "Bitcoin: Digital signatures", "translated_description_html": "A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.", "id": "x4ac67e49", "description_html": "A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.", "title": "Bitcoin: Digital signatures", "progress_key": "vx4ac67e49", "edit_slug": "edit/v/x4ac67e49", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-digital-signatures", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-02T03:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Aq3a-_O2NcI.mp4/Aq3a-_O2NcI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Aq3a-_O2NcI.mp4/Aq3a-_O2NcI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Aq3a-_O2NcI.m3u8/Aq3a-_O2NcI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Aq3a-_O2NcI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4ac67e49", "sha": "fd64189701c8fbb1963915b8a3ac6c86e7cbf2a9", "translated_description": "A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.", "image_url": "https://img.youtube.com/vi/Aq3a-_O2NcI/hqdefault.jpg", "youtube_id": "Aq3a-_O2NcI", "content_kind": "Video", "readable_id": "bitcoin-digital-signatures"}, {"translated_youtube_id": "9-9_v1wSPBQ", "relative_url": "/video/bitcoin---transaction-records", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin---transaction-records", "duration": 692, "translated_title": "Bitcoin: Transaction records", "translated_description_html": "The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.", "id": "x08193148", "description_html": "The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.", "title": "Bitcoin: Transaction records", "progress_key": "vx08193148", "edit_slug": "edit/v/x08193148", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin---transaction-records", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-02T03:38:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9-9_v1wSPBQ.mp4/9-9_v1wSPBQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9-9_v1wSPBQ.mp4/9-9_v1wSPBQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9-9_v1wSPBQ.m3u8/9-9_v1wSPBQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9-9_v1wSPBQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx08193148", "sha": "a0c1987a4d65bb26e43735ba766804781909500a", "translated_description": "The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.", "image_url": "https://img.youtube.com/vi/9-9_v1wSPBQ/hqdefault.jpg", "youtube_id": "9-9_v1wSPBQ", "content_kind": "Video", "readable_id": "bitcoin---transaction-records"}, {"translated_youtube_id": "9V1bipPkCTU", "relative_url": "/video/bitcoin-proof-of-work", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-proof-of-work", "duration": 632, "translated_title": "Bitcoin: Proof of work", "translated_description_html": "An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.", "id": "xd145c045", "description_html": "An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.", "title": "Bitcoin: Proof of work", "progress_key": "vxd145c045", "edit_slug": "edit/v/xd145c045", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-proof-of-work", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-02T03:38:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9V1bipPkCTU.mp4/9V1bipPkCTU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9V1bipPkCTU.mp4/9V1bipPkCTU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9V1bipPkCTU.m3u8/9V1bipPkCTU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9V1bipPkCTU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd145c045", "sha": "2383acfe202bff41353eeefdd109bacd98f5bcdb", "translated_description": "An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.", "image_url": "https://img.youtube.com/vi/9V1bipPkCTU/hqdefault.jpg", "youtube_id": "9V1bipPkCTU", "content_kind": "Video", "readable_id": "bitcoin-proof-of-work"}, {"translated_youtube_id": "QzDO44oZWtE", "relative_url": "/video/bitcoin-transaction-block-chains", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-transaction-block-chains", "duration": 685, "translated_title": "Bitcoin: Transaction block chains", "translated_description_html": "The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.", "id": "x8d6047cf", "description_html": "The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.", "title": "Bitcoin: Transaction block chains", "progress_key": "vx8d6047cf", "edit_slug": "edit/v/x8d6047cf", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-transaction-block-chains", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-05-02T03:38:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QzDO44oZWtE.mp4/QzDO44oZWtE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QzDO44oZWtE.mp4/QzDO44oZWtE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QzDO44oZWtE.m3u8/QzDO44oZWtE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QzDO44oZWtE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8d6047cf", "sha": "1f7926532bcf6845070f029a085679c43b94e596", "translated_description": "The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.", "image_url": "https://img.youtube.com/vi/QzDO44oZWtE/hqdefault.jpg", "youtube_id": "QzDO44oZWtE", "content_kind": "Video", "readable_id": "bitcoin-transaction-block-chains"}, {"translated_youtube_id": "JuWYLAtz3Y4", "relative_url": "/video/bitcoin-the-money-supply", "has_questions": false, "keywords": "bitcoin, currency", "ka_url": "http://www.khanacademy.org/video/bitcoin-the-money-supply", "duration": 734, "translated_title": "Bitcoin: The money supply", "translated_description_html": "The mechanisms by which the supply of bitcoins is controlled.", "id": "xa64ed2dc", "description_html": "The mechanisms by which the supply of bitcoins is controlled.", "title": "Bitcoin: The money supply", "progress_key": "vxa64ed2dc", "edit_slug": "edit/v/xa64ed2dc", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The mechanisms by which the supply of bitcoins is controlled.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-the-money-supply", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-05-02T03:38:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JuWYLAtz3Y4.mp4/JuWYLAtz3Y4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JuWYLAtz3Y4.mp4/JuWYLAtz3Y4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JuWYLAtz3Y4.m3u8/JuWYLAtz3Y4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JuWYLAtz3Y4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa64ed2dc", "sha": "4cf3106598a146088d190fe0e00219ccf614beeb", "translated_description": "The mechanisms by which the supply of bitcoins is controlled.", "image_url": "https://img.youtube.com/vi/JuWYLAtz3Y4/hqdefault.jpg", "youtube_id": "JuWYLAtz3Y4", "content_kind": "Video", "readable_id": "bitcoin-the-money-supply"}, {"translated_youtube_id": "8zgvzmKZ5vo", "relative_url": "/video/bitcoin-security-of-transaction-block-chains", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bitcoin-security-of-transaction-block-chains", "duration": 916, "translated_title": "Bitcoin: The security of transaction block chains", "translated_description_html": "A detailed explanation of what makes bitcoin transaction block chains secure.", "id": "x1c6e78b8", "description_html": "A detailed explanation of what makes bitcoin transaction block chains secure.", "title": "Bitcoin: The security of transaction block chains", "progress_key": "vx1c6e78b8", "edit_slug": "edit/v/x1c6e78b8", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A detailed explanation of what makes bitcoin transaction block chains secure.", "extra_properties": {"original_url": ""}, "node_slug": "v/bitcoin-security-of-transaction-block-chains", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-10T15:39:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8zgvzmKZ5vo.mp4/8zgvzmKZ5vo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8zgvzmKZ5vo.mp4/8zgvzmKZ5vo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8zgvzmKZ5vo.m3u8/8zgvzmKZ5vo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8zgvzmKZ5vo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1c6e78b8", "sha": "211805c63fa601a203f309bdb2ba7e78eaed42a0", "translated_description": "A detailed explanation of what makes bitcoin transaction block chains secure.", "image_url": "https://img.youtube.com/vi/8zgvzmKZ5vo/hqdefault.jpg", "youtube_id": "8zgvzmKZ5vo", "content_kind": "Video", "readable_id": "bitcoin-security-of-transaction-block-chains"}], "twitter_url": "", "translated_description": "Learn about bitcoins and how they work. \n\nVideos by Zulfikar Ramzan. Zulfikar is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about bitcoins and how they work. \n\nVideos by Zulfikar Ramzan. Zulfikar is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT.", "x_pos": 0.0, "node_slug": "bitcoin", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa753311c", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking/bitcoin", "extended_slug": "economics-finance-domain/core-finance/money-and-banking/bitcoin", "slug": "bitcoin", "tags": ["bitcoin%2C%20currency"], "kind": "Topic", "in_topic_browser": false, "sha": "92468c66b70d31fb30bed2bc1267db7c2a41a263", "standalone_title": "Bitcoin", "y_pos": 0.0, "current_revision_key": "92468c66b70d31fb30bed2bc1267db7c2a41a263", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "money-and-banking", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1e8c32f", "topic_page_url": "/economics-finance-domain/core-finance/money-and-banking", "extended_slug": "economics-finance-domain/core-finance/money-and-banking", "slug": "money-and-banking", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "216bea6fd97b36af9891eb74478359028f6ca85a", "standalone_title": "Money, banking and central banks", "y_pos": 0.0, "current_revision_key": "216bea6fd97b36af9891eb74478359028f6ca85a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities", "translated_standalone_title": "Options, swaps, futures, MBSs, CDOs and other derivatives", "translated_title": "Options, swaps, futures, MBSs, CDOs, and other derivatives", "gplus_url": "", "id": "xcbcda7d7", "old_key_name": "WCUAeLAKtHHDw_lr6-T_1w9YwmPp0UHWH_S62ilX", "hide": false, "title": "Options, swaps, futures, MBSs, CDOs, and other derivatives", "child_data": [{"kind": "Topic", "id": "x4b8bece8"}, {"kind": "Topic", "id": "x46adaf10"}, {"kind": "Topic", "id": "x73ebd180"}, {"kind": "Topic", "id": "x5ae115fd"}, {"kind": "Topic", "id": "xd4469d9c"}, {"kind": "Topic", "id": "x1c4a4d06"}, {"kind": "Topic", "id": "x4ab674dd"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/put-call-options", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options", "translated_standalone_title": "Put and call options", "translated_title": "Put and call options", "gplus_url": "", "id": "x4b8bece8", "old_key_name": "7LF1e30bqDMER9sIu9B0bk2xYdh1Dc4o0dPOV4Am", "hide": false, "title": "Put and call options", "child_data": [{"kind": "Video", "id": 33794224}, {"kind": "Video", "id": 33794225}, {"kind": "Video", "id": 33794226}, {"kind": "Video", "id": 33794227}, {"kind": "Video", "id": 33794228}, {"kind": "Video", "id": 33794229}, {"kind": "Video", "id": 33794230}, {"kind": "Video", "id": 33794232}, {"kind": "Video", "id": 33794233}, {"kind": "Video", "id": 33794231}, {"kind": "Video", "id": 33794234}, {"kind": "Video", "id": 33794235}, {"kind": "Video", "id": 42120202}, {"kind": "Video", "id": 33794236}, {"kind": "Video", "id": 33794237}, {"kind": "Video", "id": 42120203}, {"kind": "Video", "id": 42120204}, {"kind": "Video", "id": 42127149}], "children": [{"translated_youtube_id": "nnl3x1wo25g", "relative_url": "/video/american-call-options", "has_questions": false, "keywords": "American, Call, Options", "ka_url": "http://www.khanacademy.org/video/american-call-options", "duration": 213, "translated_title": "American call options", "translated_description_html": "American Call Options", "id": "33794224", "description_html": "American Call Options", "title": "American call options", "progress_key": "v33794224", "edit_slug": "edit/v/33794224", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "American Call Options", "extra_properties": null, "node_slug": "v/american-call-options", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nnl3x1wo25g.mp4/nnl3x1wo25g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nnl3x1wo25g.mp4/nnl3x1wo25g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nnl3x1wo25g.m3u8/nnl3x1wo25g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nnl3x1wo25g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794224", "sha": "3d68fb576308244ce91e5de7237bc756ffd4b8c8", "translated_description": "American Call Options", "image_url": "https://img.youtube.com/vi/nnl3x1wo25g/hqdefault.jpg", "youtube_id": "nnl3x1wo25g", "content_kind": "Video", "readable_id": "american-call-options"}, {"translated_youtube_id": "jAOtWm_WZiE", "relative_url": "/video/basic-shorting", "has_questions": false, "keywords": "Basic, Shorting", "ka_url": "http://www.khanacademy.org/video/basic-shorting", "duration": 209, "translated_title": "Basic shorting", "translated_description_html": "Basic Shorting", "id": "33794225", "description_html": "Basic Shorting", "title": "Basic shorting", "progress_key": "v33794225", "edit_slug": "edit/v/33794225", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basic Shorting", "extra_properties": null, "node_slug": "v/basic-shorting", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.m3u8/jAOtWm_WZiE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jAOtWm_WZiE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794225", "sha": "390f3a4674d8df378a8dac13d0a1b72450f926f5", "translated_description": "Basic Shorting", "image_url": "https://img.youtube.com/vi/jAOtWm_WZiE/hqdefault.jpg", "youtube_id": "jAOtWm_WZiE", "content_kind": "Video", "readable_id": "basic-shorting"}, {"translated_youtube_id": "6CUcgUeQS-w", "relative_url": "/video/american-put-options", "has_questions": false, "keywords": "American, Put, Options", "ka_url": "http://www.khanacademy.org/video/american-put-options", "duration": 176, "translated_title": "American put options", "translated_description_html": "American Put Options", "id": "33794226", "description_html": "American Put Options", "title": "American put options", "progress_key": "v33794226", "edit_slug": "edit/v/33794226", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "American Put Options", "extra_properties": null, "node_slug": "v/american-put-options", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6CUcgUeQS-w.mp4/6CUcgUeQS-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6CUcgUeQS-w.mp4/6CUcgUeQS-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6CUcgUeQS-w.m3u8/6CUcgUeQS-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6CUcgUeQS-w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794226", "sha": "9d0d08ff2f3a79e0b9363692b87c3eefe6dbfa43", "translated_description": "American Put Options", "image_url": "https://img.youtube.com/vi/6CUcgUeQS-w/hqdefault.jpg", "youtube_id": "6CUcgUeQS-w", "content_kind": "Video", "readable_id": "american-put-options"}, {"translated_youtube_id": "N8h45mDI80s", "relative_url": "/video/call-option-as-leverage", "has_questions": false, "keywords": "Call, Option, as, Leverage", "ka_url": "http://www.khanacademy.org/video/call-option-as-leverage", "duration": 184, "translated_title": "Call option as leverage", "translated_description_html": "Call Option as Leverage", "id": "33794227", "description_html": "Call Option as Leverage", "title": "Call option as leverage", "progress_key": "v33794227", "edit_slug": "edit/v/33794227", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Call Option as Leverage", "extra_properties": null, "node_slug": "v/call-option-as-leverage", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8h45mDI80s.mp4/N8h45mDI80s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8h45mDI80s.mp4/N8h45mDI80s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N8h45mDI80s.m3u8/N8h45mDI80s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N8h45mDI80s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794227", "sha": "b75a41b07e2b625ece993ebb6bb122af14b3d127", "translated_description": "Call Option as Leverage", "image_url": "https://img.youtube.com/vi/N8h45mDI80s/hqdefault.jpg", "youtube_id": "N8h45mDI80s", "content_kind": "Video", "readable_id": "call-option-as-leverage"}, {"translated_youtube_id": "_q25hz5xLdk", "relative_url": "/video/put-vs--short-and-leverage", "has_questions": false, "keywords": "Put, vs., Short, and, Leverage", "ka_url": "http://www.khanacademy.org/video/put-vs--short-and-leverage", "duration": 190, "translated_title": "Put vs. short and leverage", "translated_description_html": "Put vs. Short and Leverage", "id": "33794228", "description_html": "Put vs. Short and Leverage", "title": "Put vs. short and leverage", "progress_key": "v33794228", "edit_slug": "edit/v/33794228", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put vs. Short and Leverage", "extra_properties": null, "node_slug": "v/put-vs--short-and-leverage", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_q25hz5xLdk.mp4/_q25hz5xLdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_q25hz5xLdk.mp4/_q25hz5xLdk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_q25hz5xLdk.m3u8/_q25hz5xLdk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_q25hz5xLdk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794228", "sha": "8a2b13dfed67e65a84eb1e197e5372a2184b9d00", "translated_description": "Put vs. Short and Leverage", "image_url": "https://img.youtube.com/vi/_q25hz5xLdk/hqdefault.jpg", "youtube_id": "_q25hz5xLdk", "content_kind": "Video", "readable_id": "put-vs--short-and-leverage"}, {"translated_youtube_id": "MZQxeQYQCUg", "relative_url": "/video/call-payoff-diagram", "has_questions": false, "keywords": "Call, Payoff, Diagram", "ka_url": "http://www.khanacademy.org/video/call-payoff-diagram", "duration": 202, "translated_title": "Call payoff diagram", "translated_description_html": "Call Payoff Diagram", "id": "33794229", "description_html": "Call Payoff Diagram", "title": "Call payoff diagram", "progress_key": "v33794229", "edit_slug": "edit/v/33794229", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Call Payoff Diagram", "extra_properties": null, "node_slug": "v/call-payoff-diagram", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZQxeQYQCUg.mp4/MZQxeQYQCUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZQxeQYQCUg.mp4/MZQxeQYQCUg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MZQxeQYQCUg.m3u8/MZQxeQYQCUg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MZQxeQYQCUg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794229", "sha": "27e939a0fb6cc313fc4ed679672f4c42da776355", "translated_description": "Call Payoff Diagram", "image_url": "https://img.youtube.com/vi/MZQxeQYQCUg/hqdefault.jpg", "youtube_id": "MZQxeQYQCUg", "content_kind": "Video", "readable_id": "call-payoff-diagram"}, {"translated_youtube_id": "VST_U297pH0", "relative_url": "/video/put-payoff-diagram", "has_questions": false, "keywords": "Put, Payoff, Diagram", "ka_url": "http://www.khanacademy.org/video/put-payoff-diagram", "duration": 204, "translated_title": "Put payoff diagram", "translated_description_html": "Put Payoff Diagram", "id": "33794230", "description_html": "Put Payoff Diagram", "title": "Put payoff diagram", "progress_key": "v33794230", "edit_slug": "edit/v/33794230", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put Payoff Diagram", "extra_properties": null, "node_slug": "v/put-payoff-diagram", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VST_U297pH0.mp4/VST_U297pH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VST_U297pH0.mp4/VST_U297pH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VST_U297pH0.m3u8/VST_U297pH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VST_U297pH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794230", "sha": "5edeb8ccc5e7d6a01306d477043e10358e0b9b9c", "translated_description": "Put Payoff Diagram", "image_url": "https://img.youtube.com/vi/VST_U297pH0/hqdefault.jpg", "youtube_id": "VST_U297pH0", "content_kind": "Video", "readable_id": "put-payoff-diagram"}, {"translated_youtube_id": "i65NIcnHS9Y", "relative_url": "/video/put-as-insurance", "has_questions": false, "keywords": "Put, as, Insurance", "ka_url": "http://www.khanacademy.org/video/put-as-insurance", "duration": 228, "translated_title": "Put as insurance", "translated_description_html": "Put as Insurance", "id": "33794232", "description_html": "Put as Insurance", "title": "Put as insurance", "progress_key": "v33794232", "edit_slug": "edit/v/33794232", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put as Insurance", "extra_properties": null, "node_slug": "v/put-as-insurance", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.m3u8/i65NIcnHS9Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i65NIcnHS9Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794232", "sha": "dbb2d7c8c7abcb3fc02bc3a7128bafbc9d178267", "translated_description": "Put as Insurance", "image_url": "https://img.youtube.com/vi/i65NIcnHS9Y/hqdefault.jpg", "youtube_id": "i65NIcnHS9Y", "content_kind": "Video", "readable_id": "put-as-insurance"}, {"translated_youtube_id": "m4mrd7sHCPM", "relative_url": "/video/put-call-parity", "has_questions": false, "keywords": "Put-Call, Parity", "ka_url": "http://www.khanacademy.org/video/put-call-parity", "duration": 209, "translated_title": "Put-call parity", "translated_description_html": "Put-Call Parity", "id": "33794233", "description_html": "Put-Call Parity", "title": "Put-call parity", "progress_key": "v33794233", "edit_slug": "edit/v/33794233", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put-Call Parity", "extra_properties": null, "node_slug": "v/put-call-parity", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m4mrd7sHCPM.mp4/m4mrd7sHCPM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m4mrd7sHCPM.mp4/m4mrd7sHCPM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m4mrd7sHCPM.m3u8/m4mrd7sHCPM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m4mrd7sHCPM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794233", "sha": "cb8932f52c6558ff169a2e3b66969a1c7fd55e5e", "translated_description": "Put-Call Parity", "image_url": "https://img.youtube.com/vi/m4mrd7sHCPM/hqdefault.jpg", "youtube_id": "m4mrd7sHCPM", "content_kind": "Video", "readable_id": "put-call-parity"}, {"translated_youtube_id": "2HIRaOQDRho", "relative_url": "/video/long-straddle", "has_questions": false, "keywords": "Long, Straddle", "ka_url": "http://www.khanacademy.org/video/long-straddle", "duration": 233, "translated_title": "Long straddle", "translated_description_html": "Long Straddle", "id": "33794231", "description_html": "Long Straddle", "title": "Long straddle", "progress_key": "v33794231", "edit_slug": "edit/v/33794231", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Long Straddle", "extra_properties": null, "node_slug": "v/long-straddle", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2HIRaOQDRho.mp4/2HIRaOQDRho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2HIRaOQDRho.mp4/2HIRaOQDRho.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2HIRaOQDRho.m3u8/2HIRaOQDRho.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2HIRaOQDRho&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794231", "sha": "7f95c10b55eb3581c043af1041be86a213928c3f", "translated_description": "Long Straddle", "image_url": "https://img.youtube.com/vi/2HIRaOQDRho/hqdefault.jpg", "youtube_id": "2HIRaOQDRho", "content_kind": "Video", "readable_id": "long-straddle"}, {"translated_youtube_id": "WFuLVSz6n8M", "relative_url": "/video/put-writer-payoff-diagrams", "has_questions": false, "keywords": "Put, Writer, Payoff, Diagrams", "ka_url": "http://www.khanacademy.org/video/put-writer-payoff-diagrams", "duration": 247, "translated_title": "Put writer payoff diagrams", "translated_description_html": "Put Writer Payoff Diagrams", "id": "33794234", "description_html": "Put Writer Payoff Diagrams", "title": "Put writer payoff diagrams", "progress_key": "v33794234", "edit_slug": "edit/v/33794234", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put Writer Payoff Diagrams", "extra_properties": null, "node_slug": "v/put-writer-payoff-diagrams", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WFuLVSz6n8M.mp4/WFuLVSz6n8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WFuLVSz6n8M.mp4/WFuLVSz6n8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WFuLVSz6n8M.m3u8/WFuLVSz6n8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WFuLVSz6n8M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794234", "sha": "e90e3fb61c75ecf9f84ffe4189cfe28dbd82f469", "translated_description": "Put Writer Payoff Diagrams", "image_url": "https://img.youtube.com/vi/WFuLVSz6n8M/hqdefault.jpg", "youtube_id": "WFuLVSz6n8M", "content_kind": "Video", "readable_id": "put-writer-payoff-diagrams"}, {"translated_youtube_id": "TdW3LdN5SJw", "relative_url": "/video/call-writer-payoff-diagram", "has_questions": false, "keywords": "Call, Writer, Payoff, Diagram", "ka_url": "http://www.khanacademy.org/video/call-writer-payoff-diagram", "duration": 188, "translated_title": "Call writer payoff diagram", "translated_description_html": "Call Writer Payoff Diagram", "id": "33794235", "description_html": "Call Writer Payoff Diagram", "title": "Call writer payoff diagram", "progress_key": "v33794235", "edit_slug": "edit/v/33794235", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Call Writer Payoff Diagram", "extra_properties": null, "node_slug": "v/call-writer-payoff-diagram", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TdW3LdN5SJw.mp4/TdW3LdN5SJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TdW3LdN5SJw.mp4/TdW3LdN5SJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TdW3LdN5SJw.m3u8/TdW3LdN5SJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TdW3LdN5SJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794235", "sha": "4c8140d98e98cf72257370894e93c1a49fe01185", "translated_description": "Call Writer Payoff Diagram", "image_url": "https://img.youtube.com/vi/TdW3LdN5SJw/hqdefault.jpg", "youtube_id": "TdW3LdN5SJw", "content_kind": "Video", "readable_id": "call-writer-payoff-diagram"}, {"translated_youtube_id": "AuCH7fHZsZ4", "relative_url": "/video/arbitrage-basics", "has_questions": false, "keywords": "arbitrage", "ka_url": "http://www.khanacademy.org/video/arbitrage-basics", "duration": 171, "translated_title": "Arbitrage basics", "translated_description_html": "Arbitrage Basics", "id": "42120202", "description_html": "Arbitrage Basics", "title": "Arbitrage basics", "progress_key": "v42120202", "edit_slug": "edit/v/42120202", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Arbitrage Basics", "extra_properties": null, "node_slug": "v/arbitrage-basics", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-25T14:03:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuCH7fHZsZ4.mp4/AuCH7fHZsZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuCH7fHZsZ4.mp4/AuCH7fHZsZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AuCH7fHZsZ4.m3u8/AuCH7fHZsZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AuCH7fHZsZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42120202", "sha": "c46cabc7d382ca3c708d2fe6925cca0db261a413", "translated_description": "Arbitrage Basics", "image_url": "https://img.youtube.com/vi/AuCH7fHZsZ4/hqdefault.jpg", "youtube_id": "AuCH7fHZsZ4", "content_kind": "Video", "readable_id": "arbitrage-basics"}, {"translated_youtube_id": "SCM4A0rBeOQ", "relative_url": "/video/put-call-parity-arbitrage-i", "has_questions": false, "keywords": "Put-Call, Parity, Arbitrage", "ka_url": "http://www.khanacademy.org/video/put-call-parity-arbitrage-i", "duration": 236, "translated_title": "Put-call parity arbitrage I", "translated_description_html": "Put-Call Parity Arbitrage I", "id": "33794236", "description_html": "Put-Call Parity Arbitrage I", "title": "Put-call parity arbitrage I", "progress_key": "v33794236", "edit_slug": "edit/v/33794236", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put-Call Parity Arbitrage I", "extra_properties": null, "node_slug": "v/put-call-parity-arbitrage-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SCM4A0rBeOQ.mp4/SCM4A0rBeOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SCM4A0rBeOQ.mp4/SCM4A0rBeOQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SCM4A0rBeOQ.m3u8/SCM4A0rBeOQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SCM4A0rBeOQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794236", "sha": "14693c1dc4bf15be31affb9df92e914cf3af2c24", "translated_description": "Put-Call Parity Arbitrage I", "image_url": "https://img.youtube.com/vi/SCM4A0rBeOQ/hqdefault.jpg", "youtube_id": "SCM4A0rBeOQ", "content_kind": "Video", "readable_id": "put-call-parity-arbitrage-i"}, {"translated_youtube_id": "MHWmBggmIU0", "relative_url": "/video/put-call-parity-arbitrage-ii", "has_questions": false, "keywords": "Put-Call, Parity, Arbitrage, II", "ka_url": "http://www.khanacademy.org/video/put-call-parity-arbitrage-ii", "duration": 234, "translated_title": "Put-call parity arbitrage II", "translated_description_html": "Put-Call Parity Arbitrage II", "id": "33794237", "description_html": "Put-Call Parity Arbitrage II", "title": "Put-call parity arbitrage II", "progress_key": "v33794237", "edit_slug": "edit/v/33794237", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put-Call Parity Arbitrage II", "extra_properties": null, "node_slug": "v/put-call-parity-arbitrage-ii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-16T18:27:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MHWmBggmIU0.mp4/MHWmBggmIU0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MHWmBggmIU0.mp4/MHWmBggmIU0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MHWmBggmIU0.m3u8/MHWmBggmIU0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MHWmBggmIU0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v33794237", "sha": "7dbe72c2a069c780b99d066bc6eeef7076b26509", "translated_description": "Put-Call Parity Arbitrage II", "image_url": "https://img.youtube.com/vi/MHWmBggmIU0/hqdefault.jpg", "youtube_id": "MHWmBggmIU0", "content_kind": "Video", "readable_id": "put-call-parity-arbitrage-ii"}, {"translated_youtube_id": "Sc6zc8KR_NU", "relative_url": "/video/put-call-parity-clarification", "has_questions": false, "keywords": "Put-Call, Parity, Clarification", "ka_url": "http://www.khanacademy.org/video/put-call-parity-clarification", "duration": 124, "translated_title": "Put-call parity clarification", "translated_description_html": "Put-Call Parity Clarification", "id": "42120203", "description_html": "Put-Call Parity Clarification", "title": "Put-call parity clarification", "progress_key": "v42120203", "edit_slug": "edit/v/42120203", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Put-Call Parity Clarification", "extra_properties": null, "node_slug": "v/put-call-parity-clarification", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-03-25T14:03:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Sc6zc8KR_NU.mp4/Sc6zc8KR_NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Sc6zc8KR_NU.mp4/Sc6zc8KR_NU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Sc6zc8KR_NU.m3u8/Sc6zc8KR_NU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Sc6zc8KR_NU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42120203", "sha": "a38fe7fe830684bc73d3d4f04ac340c3a6408c4c", "translated_description": "Put-Call Parity Clarification", "image_url": "https://img.youtube.com/vi/Sc6zc8KR_NU/hqdefault.jpg", "youtube_id": "Sc6zc8KR_NU", "content_kind": "Video", "readable_id": "put-call-parity-clarification"}, {"translated_youtube_id": "3o82OwR78wU", "relative_url": "/video/actual-option-quotes", "has_questions": false, "keywords": "options, open, interest, expiration", "ka_url": "http://www.khanacademy.org/video/actual-option-quotes", "duration": 210, "translated_title": "Actual option quotes", "translated_description_html": "Actual Option Quotes", "id": "42120204", "description_html": "Actual Option Quotes", "title": "Actual option quotes", "progress_key": "v42120204", "edit_slug": "edit/v/42120204", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Actual Option Quotes", "extra_properties": null, "node_slug": "v/actual-option-quotes", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3o82OwR78wU.mp4/3o82OwR78wU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3o82OwR78wU.mp4/3o82OwR78wU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3o82OwR78wU.m3u8/3o82OwR78wU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3o82OwR78wU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42120204", "sha": "5017e2632d96ab8004c777f1b6f04e23f0e744db", "translated_description": "Actual Option Quotes", "image_url": "https://img.youtube.com/vi/3o82OwR78wU/hqdefault.jpg", "youtube_id": "3o82OwR78wU", "content_kind": "Video", "readable_id": "actual-option-quotes"}, {"translated_youtube_id": "OrRDNKNHtlg", "relative_url": "/video/option-expiration-and-price", "has_questions": false, "keywords": "Option, Expiration, and, Price", "ka_url": "http://www.khanacademy.org/video/option-expiration-and-price", "duration": 207, "translated_title": "Option expiration and price", "translated_description_html": "Option Expiration and Price", "id": "42127149", "description_html": "Option Expiration and Price", "title": "Option expiration and price", "progress_key": "v42127149", "edit_slug": "edit/v/42127149", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Option Expiration and Price", "extra_properties": null, "node_slug": "v/option-expiration-and-price", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OrRDNKNHtlg.mp4/OrRDNKNHtlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OrRDNKNHtlg.mp4/OrRDNKNHtlg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OrRDNKNHtlg.m3u8/OrRDNKNHtlg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OrRDNKNHtlg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127149", "sha": "fd16022a503dd11ec204f0747056233f0efdb136", "translated_description": "Option Expiration and Price", "image_url": "https://img.youtube.com/vi/OrRDNKNHtlg/hqdefault.jpg", "youtube_id": "OrRDNKNHtlg", "content_kind": "Video", "readable_id": "option-expiration-and-price"}], "twitter_url": "", "translated_description": "Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly.\n\nThis tutorial walks through option basics and even goes into some fairly sophisticated option mechanics.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly.\n\nThis tutorial walks through option basics and even goes into some fairly sophisticated option mechanics.", "x_pos": 0.0, "node_slug": "put-call-options", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4b8bece8", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/put-call-options", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/put-call-options", "slug": "put-call-options", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b0be29c10d37154a08afc838ebdbf0d989e746bb", "standalone_title": "Put and call options", "y_pos": 0.0, "current_revision_key": "b0be29c10d37154a08afc838ebdbf0d989e746bb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts", "translated_standalone_title": "Forward and futures contracts", "translated_title": "Forward and futures contracts", "gplus_url": "", "id": "x46adaf10", "old_key_name": "S8PIpENSbwvw8FQZpMd3Z4r8_9FYILM9X-v4hcIn", "hide": false, "title": "Forward and futures contracts", "child_data": [{"kind": "Video", "id": 42127150}, {"kind": "Video", "id": 42127151}, {"kind": "Video", "id": 42127152}, {"kind": "Video", "id": 42127153}, {"kind": "Video", "id": 42127156}, {"kind": "Video", "id": 47066532}, {"kind": "Video", "id": 109588135}, {"kind": "Video", "id": 109588136}, {"kind": "Video", "id": 108263160}, {"kind": "Video", "id": 47066533}, {"kind": "Video", "id": 47066534}, {"kind": "Video", "id": 47066535}, {"kind": "Video", "id": 47066536}, {"kind": "Video", "id": 47066537}, {"kind": "Video", "id": 47066538}, {"kind": "Video", "id": 42127154}, {"kind": "Video", "id": 42127155}, {"kind": "Video", "id": 163511020}, {"kind": "Video", "id": 252117773}], "children": [{"translated_youtube_id": "H9UEZdAnnt8", "relative_url": "/video/forward-contract-introduction", "has_questions": false, "keywords": "Forward, Contract, Introduction", "ka_url": "http://www.khanacademy.org/video/forward-contract-introduction", "duration": 191, "translated_title": "Forward contract introduction", "translated_description_html": "Forward Contract Introduction", "id": "42127150", "description_html": "Forward Contract Introduction", "title": "Forward contract introduction", "progress_key": "v42127150", "edit_slug": "edit/v/42127150", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Forward Contract Introduction", "extra_properties": null, "node_slug": "v/forward-contract-introduction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.m3u8/H9UEZdAnnt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H9UEZdAnnt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127150", "sha": "91c3ca911c26ed8ae153b7e0a0646470d8b4a89d", "translated_description": "Forward Contract Introduction", "image_url": "https://img.youtube.com/vi/H9UEZdAnnt8/hqdefault.jpg", "youtube_id": "H9UEZdAnnt8", "content_kind": "Video", "readable_id": "forward-contract-introduction"}, {"translated_youtube_id": "3g6P0lRXotI", "relative_url": "/video/futures-introduction", "has_questions": false, "keywords": "Futures, Introduction, marquee", "ka_url": "http://www.khanacademy.org/video/futures-introduction", "duration": 209, "translated_title": "Futures introduction", "translated_description_html": "Futures Introduction", "id": "42127151", "description_html": "Futures Introduction", "title": "Futures introduction", "progress_key": "v42127151", "edit_slug": "edit/v/42127151", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Futures Introduction", "extra_properties": null, "node_slug": "v/futures-introduction", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3g6P0lRXotI.mp4/3g6P0lRXotI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3g6P0lRXotI.mp4/3g6P0lRXotI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3g6P0lRXotI.m3u8/3g6P0lRXotI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3g6P0lRXotI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127151", "sha": "280f224ab7932fe8e351878a99673058be7798c4", "translated_description": "Futures Introduction", "image_url": "https://img.youtube.com/vi/3g6P0lRXotI/hqdefault.jpg", "youtube_id": "3g6P0lRXotI", "content_kind": "Video", "readable_id": "futures-introduction"}, {"translated_youtube_id": "iyrOGvbSS2U", "relative_url": "/video/motivation-for-the-futures-exchange", "has_questions": false, "keywords": "Exchange, futures, margin, spread", "ka_url": "http://www.khanacademy.org/video/motivation-for-the-futures-exchange", "duration": 161, "translated_title": "Motivation for the futures exchange", "translated_description_html": "How an exchange can benefit from trading futures and how it can use margin to mitigate its risk", "id": "42127152", "description_html": "How an exchange can benefit from trading futures and how it can use margin to mitigate its risk", "title": "Motivation for the futures exchange", "progress_key": "v42127152", "edit_slug": "edit/v/42127152", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How an exchange can benefit from trading futures and how it can use margin to mitigate its risk", "extra_properties": null, "node_slug": "v/motivation-for-the-futures-exchange", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iyrOGvbSS2U.mp4/iyrOGvbSS2U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iyrOGvbSS2U.mp4/iyrOGvbSS2U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iyrOGvbSS2U.m3u8/iyrOGvbSS2U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iyrOGvbSS2U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127152", "sha": "957571d857d7b9c0adf2c8385753d9585732a1da", "translated_description": "How an exchange can benefit from trading futures and how it can use margin to mitigate its risk", "image_url": "https://img.youtube.com/vi/iyrOGvbSS2U/hqdefault.jpg", "youtube_id": "iyrOGvbSS2U", "content_kind": "Video", "readable_id": "motivation-for-the-futures-exchange"}, {"translated_youtube_id": "1t42z5U2uoc", "relative_url": "/video/futures-margin-mechanics", "has_questions": false, "keywords": "futures, margin, initial, maintenance, call", "ka_url": "http://www.khanacademy.org/video/futures-margin-mechanics", "duration": 219, "translated_title": "Futures margin mechanics", "translated_description_html": "Understanding the mechanics of margin for futures. Initial and maintenance margin", "id": "42127153", "description_html": "Understanding the mechanics of margin for futures. Initial and maintenance margin", "title": "Futures margin mechanics", "progress_key": "v42127153", "edit_slug": "edit/v/42127153", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding the mechanics of margin for futures. Initial and maintenance margin", "extra_properties": null, "node_slug": "v/futures-margin-mechanics", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1t42z5U2uoc.mp4/1t42z5U2uoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1t42z5U2uoc.mp4/1t42z5U2uoc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1t42z5U2uoc.m3u8/1t42z5U2uoc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1t42z5U2uoc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127153", "sha": "ca22f2a48518b6c18d364c71953acb69d530d0da", "translated_description": "Understanding the mechanics of margin for futures. Initial and maintenance margin", "image_url": "https://img.youtube.com/vi/1t42z5U2uoc/hqdefault.jpg", "youtube_id": "1t42z5U2uoc", "content_kind": "Video", "readable_id": "futures-margin-mechanics"}, {"translated_youtube_id": "1mnKCkmeaYs", "relative_url": "/video/verifying-hedge-with-futures-margin-mechanics", "has_questions": false, "keywords": "futures, hedge, margin", "ka_url": "http://www.khanacademy.org/video/verifying-hedge-with-futures-margin-mechanics", "duration": 228, "translated_title": "Verifying hedge with futures margin mechanics", "translated_description_html": "Verifying Hedge with Futures Margin Mechanics", "id": "42127156", "description_html": "Verifying Hedge with Futures Margin Mechanics", "title": "Verifying hedge with futures margin mechanics", "progress_key": "v42127156", "edit_slug": "edit/v/42127156", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Verifying Hedge with Futures Margin Mechanics", "extra_properties": null, "node_slug": "v/verifying-hedge-with-futures-margin-mechanics", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1mnKCkmeaYs.mp4/1mnKCkmeaYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1mnKCkmeaYs.mp4/1mnKCkmeaYs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1mnKCkmeaYs.m3u8/1mnKCkmeaYs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1mnKCkmeaYs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127156", "sha": "ff9cc45ed701ec634da0e9214e86b66dd9cca172", "translated_description": "Verifying Hedge with Futures Margin Mechanics", "image_url": "https://img.youtube.com/vi/1mnKCkmeaYs/hqdefault.jpg", "youtube_id": "1mnKCkmeaYs", "content_kind": "Video", "readable_id": "verifying-hedge-with-futures-margin-mechanics"}, {"translated_youtube_id": "AnATlMVA12E", "relative_url": "/video/futures-and-forward-curves", "has_questions": false, "keywords": "normal, inverted, futures, forward, curves", "ka_url": "http://www.khanacademy.org/video/futures-and-forward-curves", "duration": 199, "translated_title": "Futures and forward curves", "translated_description_html": "Normal and Inverted Futures Curves", "id": "47066532", "description_html": "Normal and Inverted Futures Curves", "title": "Futures and forward curves", "progress_key": "v47066532", "edit_slug": "edit/v/47066532", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Normal and Inverted Futures Curves", "extra_properties": null, "node_slug": "v/futures-and-forward-curves", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AnATlMVA12E.mp4/AnATlMVA12E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AnATlMVA12E.mp4/AnATlMVA12E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AnATlMVA12E.m3u8/AnATlMVA12E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AnATlMVA12E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066532", "sha": "37ecc0b8d73c179e11c099b739e0fc12605dd6c1", "translated_description": "Normal and Inverted Futures Curves", "image_url": "https://img.youtube.com/vi/AnATlMVA12E/hqdefault.jpg", "youtube_id": "AnATlMVA12E", "content_kind": "Video", "readable_id": "futures-and-forward-curves"}, {"translated_youtube_id": "C3KlN5kTWAs", "relative_url": "/video/contango-from-trader-perspective", "has_questions": false, "keywords": "investing, finance", "ka_url": "http://www.khanacademy.org/video/contango-from-trader-perspective", "duration": 247, "translated_title": "Contango from trader perspective", "translated_description_html": "What a trader means when they say that a market is in contango", "id": "109588135", "description_html": "What a trader means when they say that a market is in contango", "title": "Contango from trader perspective", "progress_key": "v109588135", "edit_slug": "edit/v/109588135", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "What a trader means when they say that a market is in contango", "extra_properties": null, "node_slug": "v/contango-from-trader-perspective", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-07T23:26:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C3KlN5kTWAs.mp4/C3KlN5kTWAs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C3KlN5kTWAs.mp4/C3KlN5kTWAs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C3KlN5kTWAs.m3u8/C3KlN5kTWAs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C3KlN5kTWAs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588135", "sha": "a713378a73fed0440aa55627cb835e885f86d068", "translated_description": "What a trader means when they say that a market is in contango", "image_url": "https://img.youtube.com/vi/C3KlN5kTWAs/hqdefault.jpg", "youtube_id": "C3KlN5kTWAs", "content_kind": "Video", "readable_id": "contango-from-trader-perspective"}, {"translated_youtube_id": "hYzN0w8FatU", "relative_url": "/video/severe-contango-generally-bearish", "has_questions": false, "keywords": "contango, backwardation, finance, commodities", "ka_url": "http://www.khanacademy.org/video/severe-contango-generally-bearish", "duration": 148, "translated_title": "Severe contango generally bearish", "translated_description_html": "Thinking about why a severe contango could be bearish", "id": "109588136", "description_html": "Thinking about why a severe contango could be bearish", "title": "Severe contango generally bearish", "progress_key": "v109588136", "edit_slug": "edit/v/109588136", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thinking about why a severe contango could be bearish", "extra_properties": null, "node_slug": "v/severe-contango-generally-bearish", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-06-07T23:26:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hYzN0w8FatU.mp4/hYzN0w8FatU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hYzN0w8FatU.mp4/hYzN0w8FatU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hYzN0w8FatU.m3u8/hYzN0w8FatU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hYzN0w8FatU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109588136", "sha": "2c689c89a672d38924c2a3edbf42c51cf56869eb", "translated_description": "Thinking about why a severe contango could be bearish", "image_url": "https://img.youtube.com/vi/hYzN0w8FatU/hqdefault.jpg", "youtube_id": "hYzN0w8FatU", "content_kind": "Video", "readable_id": "severe-contango-generally-bearish"}, {"translated_youtube_id": "1CxRVVGGNJU", "relative_url": "/video/backwardation-bullish-or-bearish", "has_questions": false, "keywords": "finance, gold, oil, silver", "ka_url": "http://www.khanacademy.org/video/backwardation-bullish-or-bearish", "duration": 206, "translated_title": "Backwardation bullish or bearish", "translated_description_html": "Thinking about why backwardation in commodities markets is bullish", "id": "108263160", "description_html": "Thinking about why backwardation in commodities markets is bullish", "title": "Backwardation bullish or bearish", "progress_key": "v108263160", "edit_slug": "edit/v/108263160", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about why backwardation in commodities markets is bullish", "extra_properties": null, "node_slug": "v/backwardation-bullish-or-bearish", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-06T23:26:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1CxRVVGGNJU.mp4/1CxRVVGGNJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1CxRVVGGNJU.mp4/1CxRVVGGNJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1CxRVVGGNJU.m3u8/1CxRVVGGNJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1CxRVVGGNJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v108263160", "sha": "d3df8351e4644223116aaf1661625c016a3e5d88", "translated_description": "Thinking about why backwardation in commodities markets is bullish", "image_url": "https://img.youtube.com/vi/1CxRVVGGNJU/hqdefault.jpg", "youtube_id": "1CxRVVGGNJU", "content_kind": "Video", "readable_id": "backwardation-bullish-or-bearish"}, {"translated_youtube_id": "UDe6zeabyQM", "relative_url": "/video/futures-curves-ii", "has_questions": false, "keywords": "Futures, Curves, II", "ka_url": "http://www.khanacademy.org/video/futures-curves-ii", "duration": 231, "translated_title": "Futures curves II", "translated_description_html": "Futures Curves II", "id": "47066533", "description_html": "Futures Curves II", "title": "Futures curves II", "progress_key": "v47066533", "edit_slug": "edit/v/47066533", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Futures Curves II", "extra_properties": null, "node_slug": "v/futures-curves-ii", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UDe6zeabyQM.mp4/UDe6zeabyQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UDe6zeabyQM.mp4/UDe6zeabyQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UDe6zeabyQM.m3u8/UDe6zeabyQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UDe6zeabyQM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066533", "sha": "0415939d310ec502c6ecc3dab533cdcedfc0e69d", "translated_description": "Futures Curves II", "image_url": "https://img.youtube.com/vi/UDe6zeabyQM/hqdefault.jpg", "youtube_id": "UDe6zeabyQM", "content_kind": "Video", "readable_id": "futures-curves-ii"}, {"translated_youtube_id": "wSqkieBUuo8", "relative_url": "/video/contango", "has_questions": false, "keywords": "Contango", "ka_url": "http://www.khanacademy.org/video/contango", "duration": 251, "translated_title": "Contango", "translated_description_html": null, "id": "47066534", "description_html": null, "title": "Contango", "progress_key": "v47066534", "edit_slug": "edit/v/47066534", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": null, "extra_properties": null, "node_slug": "v/contango", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wSqkieBUuo8.mp4/wSqkieBUuo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wSqkieBUuo8.mp4/wSqkieBUuo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wSqkieBUuo8.m3u8/wSqkieBUuo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wSqkieBUuo8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066534", "sha": "a67ff43b4bd9810efe2b03285b545d642a8692b6", "translated_description": null, "image_url": "https://img.youtube.com/vi/wSqkieBUuo8/hqdefault.jpg", "youtube_id": "wSqkieBUuo8", "content_kind": "Video", "readable_id": "contango"}, {"translated_youtube_id": "LDuJ1AD7n54", "relative_url": "/video/backwardation", "has_questions": false, "keywords": "normal, backwardation", "ka_url": "http://www.khanacademy.org/video/backwardation", "duration": 237, "translated_title": "Backwardation", "translated_description_html": "Backwardation and the theory of Normal Backwardation", "id": "47066535", "description_html": "Backwardation and the theory of Normal Backwardation", "title": "Backwardation", "progress_key": "v47066535", "edit_slug": "edit/v/47066535", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Backwardation and the theory of Normal Backwardation", "extra_properties": null, "node_slug": "v/backwardation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LDuJ1AD7n54.mp4/LDuJ1AD7n54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LDuJ1AD7n54.mp4/LDuJ1AD7n54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LDuJ1AD7n54.m3u8/LDuJ1AD7n54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LDuJ1AD7n54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066535", "sha": "18a22b50668a2e9a12727c318b94bb9f6f2d8620", "translated_description": "Backwardation and the theory of Normal Backwardation", "image_url": "https://img.youtube.com/vi/LDuJ1AD7n54/hqdefault.jpg", "youtube_id": "LDuJ1AD7n54", "content_kind": "Video", "readable_id": "backwardation"}, {"translated_youtube_id": "5YaSL-y46Hk", "relative_url": "/video/contango-and-backwardation-review", "has_questions": false, "keywords": "contango, backwardation, normal, theory", "ka_url": "http://www.khanacademy.org/video/contango-and-backwardation-review", "duration": 224, "translated_title": "Contango and backwardation review", "translated_description_html": "Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation", "id": "47066536", "description_html": "Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation", "title": "Contango and backwardation review", "progress_key": "v47066536", "edit_slug": "edit/v/47066536", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation", "extra_properties": null, "node_slug": "v/contango-and-backwardation-review", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5YaSL-y46Hk.mp4/5YaSL-y46Hk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5YaSL-y46Hk.mp4/5YaSL-y46Hk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5YaSL-y46Hk.m3u8/5YaSL-y46Hk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5YaSL-y46Hk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066536", "sha": "04a95cf409489aadb090e2ee3ebba4eb4127e0f0", "translated_description": "Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation", "image_url": "https://img.youtube.com/vi/5YaSL-y46Hk/hqdefault.jpg", "youtube_id": "5YaSL-y46Hk", "content_kind": "Video", "readable_id": "contango-and-backwardation-review"}, {"translated_youtube_id": "FcRxdq7KGOQ", "relative_url": "/video/upper-bound-on-forward-settlement-price", "has_questions": false, "keywords": "Futures, arbitrage", "ka_url": "http://www.khanacademy.org/video/upper-bound-on-forward-settlement-price", "duration": 259, "translated_title": "Upper bound on forward settlement price", "translated_description_html": "Upper Bound on Forward Settlement Price", "id": "47066537", "description_html": "Upper Bound on Forward Settlement Price", "title": "Upper bound on forward settlement price", "progress_key": "v47066537", "edit_slug": "edit/v/47066537", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Upper Bound on Forward Settlement Price", "extra_properties": null, "node_slug": "v/upper-bound-on-forward-settlement-price", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FcRxdq7KGOQ.mp4/FcRxdq7KGOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FcRxdq7KGOQ.mp4/FcRxdq7KGOQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FcRxdq7KGOQ.m3u8/FcRxdq7KGOQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FcRxdq7KGOQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066537", "sha": "de67dbee27ab38b0dfb5a2981a6a6efe2b8becdd", "translated_description": "Upper Bound on Forward Settlement Price", "image_url": "https://img.youtube.com/vi/FcRxdq7KGOQ/hqdefault.jpg", "youtube_id": "FcRxdq7KGOQ", "content_kind": "Video", "readable_id": "upper-bound-on-forward-settlement-price"}, {"translated_youtube_id": "_uDb0ZdGb8w", "relative_url": "/video/lower-bound-on-forward-settlement-price", "has_questions": false, "keywords": "Lower, Bound, on, Forward, Settlement, Price", "ka_url": "http://www.khanacademy.org/video/lower-bound-on-forward-settlement-price", "duration": 253, "translated_title": "Lower bound on forward settlement price", "translated_description_html": "Lower Bound on Forward Settlement Price", "id": "47066538", "description_html": "Lower Bound on Forward Settlement Price", "title": "Lower bound on forward settlement price", "progress_key": "v47066538", "edit_slug": "edit/v/47066538", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lower Bound on Forward Settlement Price", "extra_properties": null, "node_slug": "v/lower-bound-on-forward-settlement-price", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-31T00:00:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_uDb0ZdGb8w.mp4/_uDb0ZdGb8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_uDb0ZdGb8w.mp4/_uDb0ZdGb8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_uDb0ZdGb8w.m3u8/_uDb0ZdGb8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_uDb0ZdGb8w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v47066538", "sha": "86ebe3db6bfe5b7318ecd66cb049638d52c6de54", "translated_description": "Lower Bound on Forward Settlement Price", "image_url": "https://img.youtube.com/vi/_uDb0ZdGb8w/hqdefault.jpg", "youtube_id": "_uDb0ZdGb8w", "content_kind": "Video", "readable_id": "lower-bound-on-forward-settlement-price"}, {"translated_youtube_id": "0jk6uLZ1Tdc", "relative_url": "/video/arbitraging-futures-contract", "has_questions": false, "keywords": "Arbitraging, Futures, Contract", "ka_url": "http://www.khanacademy.org/video/arbitraging-futures-contract", "duration": 247, "translated_title": "Arbitraging futures contract", "translated_description_html": null, "id": "42127154", "description_html": null, "title": "Arbitraging futures contract", "progress_key": "v42127154", "edit_slug": "edit/v/42127154", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": null, "extra_properties": null, "node_slug": "v/arbitraging-futures-contract", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0jk6uLZ1Tdc.mp4/0jk6uLZ1Tdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0jk6uLZ1Tdc.mp4/0jk6uLZ1Tdc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0jk6uLZ1Tdc.m3u8/0jk6uLZ1Tdc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0jk6uLZ1Tdc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127154", "sha": "2e13df53a35b2d01fb148d888b35599d5b2b9d0e", "translated_description": null, "image_url": "https://img.youtube.com/vi/0jk6uLZ1Tdc/hqdefault.jpg", "youtube_id": "0jk6uLZ1Tdc", "content_kind": "Video", "readable_id": "arbitraging-futures-contract"}, {"translated_youtube_id": "5kFnAmmGXM4", "relative_url": "/video/arbitraging-futures-contracts-ii", "has_questions": false, "keywords": "Arbitraging, Futures, Contracts, II", "ka_url": "http://www.khanacademy.org/video/arbitraging-futures-contracts-ii", "duration": 241, "translated_title": "Arbitraging futures contracts II", "translated_description_html": "Arbitraging Futures Contracts II", "id": "42127155", "description_html": "Arbitraging Futures Contracts II", "title": "Arbitraging futures contracts II", "progress_key": "v42127155", "edit_slug": "edit/v/42127155", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Arbitraging Futures Contracts II", "extra_properties": null, "node_slug": "v/arbitraging-futures-contracts-ii", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-03-25T14:03:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5kFnAmmGXM4.mp4/5kFnAmmGXM4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5kFnAmmGXM4.mp4/5kFnAmmGXM4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5kFnAmmGXM4.m3u8/5kFnAmmGXM4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5kFnAmmGXM4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42127155", "sha": "f507669cc0550b3e729aefe19a2a6ce2772a2ea1", "translated_description": "Arbitraging Futures Contracts II", "image_url": "https://img.youtube.com/vi/5kFnAmmGXM4/hqdefault.jpg", "youtube_id": "5kFnAmmGXM4", "content_kind": "Video", "readable_id": "arbitraging-futures-contracts-ii"}, {"translated_youtube_id": "QiluvhVryI0", "relative_url": "/video/futures-fair-value-in-the-pre-market", "has_questions": false, "keywords": "finance, futures, market, pre-opening", "ka_url": "http://www.khanacademy.org/video/futures-fair-value-in-the-pre-market", "duration": 189, "translated_title": "Futures fair value in the pre-market", "translated_description_html": "What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening", "id": "163511020", "description_html": "What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening", "title": "Futures fair value in the pre-market", "progress_key": "v163511020", "edit_slug": "edit/v/163511020", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening", "extra_properties": null, "node_slug": "v/futures-fair-value-in-the-pre-market", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2011-07-20T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QiluvhVryI0.mp4/QiluvhVryI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QiluvhVryI0.mp4/QiluvhVryI0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QiluvhVryI0.m3u8/QiluvhVryI0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QiluvhVryI0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v163511020", "sha": "10f50c5bbf68ec7906b209988e04d058e6cefcc3", "translated_description": "What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening", "image_url": "https://img.youtube.com/vi/QiluvhVryI0/hqdefault.jpg", "youtube_id": "QiluvhVryI0", "content_kind": "Video", "readable_id": "futures-fair-value-in-the-pre-market"}, {"translated_youtube_id": "owcmu4XxrHM", "relative_url": "/video/interpretting-futures-fair-value-in-the-premarket", "has_questions": false, "keywords": "finance, stocks, investing, market", "ka_url": "http://www.khanacademy.org/video/interpretting-futures-fair-value-in-the-premarket", "duration": 218, "translated_title": "Interpreting futures fair value in the premarket", "translated_description_html": "How to interpret the market price of a futures contract relative to the fair value in the premarket", "id": "252117773", "description_html": "How to interpret the market price of a futures contract relative to the fair value in the premarket", "title": "Interpreting futures fair value in the premarket", "progress_key": "v252117773", "edit_slug": "edit/v/252117773", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How to interpret the market price of a futures contract relative to the fair value in the premarket", "extra_properties": null, "node_slug": "v/interpretting-futures-fair-value-in-the-premarket", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-17T10:00:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.m3u8/owcmu4XxrHM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=owcmu4XxrHM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v252117773", "sha": "fa4ce9ae90c1ceafd19c49f065916b4c33979cf6", "translated_description": "How to interpret the market price of a futures contract relative to the fair value in the premarket", "image_url": "https://img.youtube.com/vi/owcmu4XxrHM/hqdefault.jpg", "youtube_id": "owcmu4XxrHM", "content_kind": "Video", "readable_id": "interpretting-futures-fair-value-in-the-premarket"}], "twitter_url": "", "translated_description": "In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two.", "x_pos": 0.0, "node_slug": "forward-futures-contracts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax46adaf10", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts", "slug": "forward-futures-contracts", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "87cb5f109addc68fda80cf9ef45dc6140edde1c1", "standalone_title": "Forward and futures contracts", "y_pos": 0.0, "current_revision_key": "87cb5f109addc68fda80cf9ef45dc6140edde1c1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut", "translated_standalone_title": "Mortgage-backed securities", "translated_title": "Mortgage-backed securities", "gplus_url": "", "id": "x73ebd180", "old_key_name": "XblkGqoh7H5c4yeOi6R-5GlxEbGhb7fikgGGmeZ2", "hide": false, "title": "Mortgage-backed securities", "child_data": [{"kind": "Video", "id": 163483626}, {"kind": "Video", "id": 24670}, {"kind": "Video", "id": 24672}, {"kind": "Video", "id": 24674}], "children": [{"translated_youtube_id": "dwleadLC2Dw", "relative_url": "/video/mortgage-back-security-overview", "has_questions": false, "keywords": "mortgage, back, security, MBD, credit, crisis", "ka_url": "http://www.khanacademy.org/video/mortgage-back-security-overview", "duration": 123, "translated_title": "Mortgage-backed security overview", "translated_description_html": "Basics of how a mortgage back security works", "id": "163483626", "description_html": "Basics of how a mortgage back security works", "title": "Mortgage-backed security overview", "progress_key": "v163483626", "edit_slug": "edit/v/163483626", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basics of how a mortgage back security works", "extra_properties": null, "node_slug": "v/mortgage-back-security-overview", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-20T23:26:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dwleadLC2Dw.mp4/dwleadLC2Dw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dwleadLC2Dw.mp4/dwleadLC2Dw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dwleadLC2Dw.m3u8/dwleadLC2Dw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dwleadLC2Dw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v163483626", "sha": "4501017c0e5afc34b2a25a134806dc709d6d008b", "translated_description": "Basics of how a mortgage back security works", "image_url": "https://img.youtube.com/vi/dwleadLC2Dw/hqdefault.jpg", "youtube_id": "dwleadLC2Dw", "content_kind": "Video", "readable_id": "mortgage-back-security-overview"}, {"translated_youtube_id": "oosYQHq2hwE", "relative_url": "/video/mortgage-backed-securities-i", "has_questions": false, "keywords": "finance, mortgage-backed, security, MBS", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-i", "duration": 476, "translated_title": "Mortgage-backed securities I", "translated_description_html": "Part I of the introduction to mortgage-backed securities", "id": "24670", "description_html": "Part I of the introduction to mortgage-backed securities", "title": "Mortgage-backed securities I", "progress_key": "v24670", "edit_slug": "edit/v/24670", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part I of the introduction to mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.mp4/oosYQHq2hwE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.mp4/oosYQHq2hwE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oosYQHq2hwE.m3u8/oosYQHq2hwE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oosYQHq2hwE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24670", "sha": "00fa8d6683b616636851b51fef83c93b68b5da01", "translated_description": "Part I of the introduction to mortgage-backed securities", "image_url": "https://img.youtube.com/vi/oosYQHq2hwE/hqdefault.jpg", "youtube_id": "oosYQHq2hwE", "content_kind": "Video", "readable_id": "mortgage-backed-securities-i"}, {"translated_youtube_id": "eYBlfxGIk28", "relative_url": "/video/mortgage-backed-securities-ii", "has_questions": false, "keywords": "finance, mortgage-backed, security, MBS, Khan", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-ii", "duration": 574, "translated_title": "Mortgage-backed securities II", "translated_description_html": "Part II of the introduction to mortgage-backed securities", "id": "24672", "description_html": "Part II of the introduction to mortgage-backed securities", "title": "Mortgage-backed securities II", "progress_key": "v24672", "edit_slug": "edit/v/24672", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part II of the introduction to mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-ii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.m3u8/eYBlfxGIk28.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eYBlfxGIk28&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24672", "sha": "5d3c442b9c917f1626c6de9e7c028402082b2d6d", "translated_description": "Part II of the introduction to mortgage-backed securities", "image_url": "https://img.youtube.com/vi/eYBlfxGIk28/hqdefault.jpg", "youtube_id": "eYBlfxGIk28", "content_kind": "Video", "readable_id": "mortgage-backed-securities-ii"}, {"translated_youtube_id": "q0oSKmC3Mfc", "relative_url": "/video/mortgage-backed-securities-iii", "has_questions": false, "keywords": "finance, math, economics, Khan, academy", "ka_url": "http://www.khanacademy.org/video/mortgage-backed-securities-iii", "duration": 557, "translated_title": "Mortgage-backed securities III", "translated_description_html": "More on mortgage-backed securities", "id": "24674", "description_html": "More on mortgage-backed securities", "title": "Mortgage-backed securities III", "progress_key": "v24674", "edit_slug": "edit/v/24674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "More on mortgage-backed securities", "extra_properties": null, "node_slug": "v/mortgage-backed-securities-iii", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.m3u8/q0oSKmC3Mfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q0oSKmC3Mfc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24674", "sha": "28c9a0afbc8f440f1753a780eeda08b7b8f8a478", "translated_description": "More on mortgage-backed securities", "image_url": "https://img.youtube.com/vi/q0oSKmC3Mfc/hqdefault.jpg", "youtube_id": "q0oSKmC3Mfc", "content_kind": "Video", "readable_id": "mortgage-backed-securities-iii"}], "twitter_url": "", "translated_description": "What started out as a creative way to spread risk ended up fueling a monster housing bubble. This tutorial explains what mortgage-backed securities are and how they work.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What started out as a creative way to spread risk ended up fueling a monster housing bubble. This tutorial explains what mortgage-backed securities are and how they work.", "x_pos": 0.0, "node_slug": "mort-backed-secs-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax73ebd180", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut", "slug": "mort-backed-secs-tut", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "fadb00f26ab9eeca8adc47cb6961ba87c753e598", "standalone_title": "Mortgage-backed securities", "y_pos": 0.0, "current_revision_key": "fadb00f26ab9eeca8adc47cb6961ba87c753e598", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/CDO-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/CDO-tutorial", "translated_standalone_title": "Collateralized debt obligations", "translated_title": "Collateralized debt obligations", "gplus_url": "", "id": "x5ae115fd", "old_key_name": "0qixzccNAqftHt2D9gPA2K4OLw8O98sjXOsZUbum", "hide": false, "title": "Collateralized debt obligations", "child_data": [{"kind": "Video", "id": 163483625}, {"kind": "Video", "id": 24676}], "children": [{"translated_youtube_id": "TEfyIsDRGCk", "relative_url": "/video/collateralized-debt-obligation-overview", "has_questions": false, "keywords": "credit, crisis, ratings, agency", "ka_url": "http://www.khanacademy.org/video/collateralized-debt-obligation-overview", "duration": 259, "translated_title": "Collateralized debt obligation overview", "translated_description_html": "How CDOs can give different investors different levels of risk and returns with the same underlying assets", "id": "163483625", "description_html": "How CDOs can give different investors different levels of risk and returns with the same underlying assets", "title": "Collateralized debt obligation overview", "progress_key": "v163483625", "edit_slug": "edit/v/163483625", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How CDOs can give different investors different levels of risk and returns with the same underlying assets", "extra_properties": null, "node_slug": "v/collateralized-debt-obligation-overview", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-20T23:26:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TEfyIsDRGCk.mp4/TEfyIsDRGCk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TEfyIsDRGCk.mp4/TEfyIsDRGCk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TEfyIsDRGCk.m3u8/TEfyIsDRGCk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TEfyIsDRGCk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v163483625", "sha": "b0d3ad12ef44e0bd4c6afa2495b61c5676971c5d", "translated_description": "How CDOs can give different investors different levels of risk and returns with the same underlying assets", "image_url": "https://img.youtube.com/vi/TEfyIsDRGCk/hqdefault.jpg", "youtube_id": "TEfyIsDRGCk", "content_kind": "Video", "readable_id": "collateralized-debt-obligation-overview"}, {"translated_youtube_id": "XjoJ9UF2hqg", "relative_url": "/video/collateralized-debt-obligation--cdo", "has_questions": false, "keywords": "finance, CDO, MBS, khan, academy", "ka_url": "http://www.khanacademy.org/video/collateralized-debt-obligation--cdo", "duration": 582, "translated_title": "Collateralized debt obligation (CDO)", "translated_description_html": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "id": "24676", "description_html": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "title": "Collateralized debt obligation (CDO)", "progress_key": "v24676", "edit_slug": "edit/v/24676", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "extra_properties": null, "node_slug": "v/collateralized-debt-obligation--cdo", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.m3u8/XjoJ9UF2hqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XjoJ9UF2hqg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24676", "sha": "351ee64c8a1f0192bceb653ef0c41f149dec4e87", "translated_description": "Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.", "image_url": "https://img.youtube.com/vi/XjoJ9UF2hqg/hqdefault.jpg", "youtube_id": "XjoJ9UF2hqg", "content_kind": "Video", "readable_id": "collateralized-debt-obligation--cdo"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "CDO-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ae115fd", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/CDO-tutorial", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/CDO-tutorial", "slug": "CDO-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "5909c832b0a5f62df46d18c32fa007f4854c1708", "standalone_title": "Collateralized debt obligations", "y_pos": 0.0, "current_revision_key": "5909c832b0a5f62df46d18c32fa007f4854c1708", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut", "translated_standalone_title": "Credit default swaps", "translated_title": "Credit default swaps", "gplus_url": "", "id": "xd4469d9c", "old_key_name": "n_1coEseSueEUYskjCOn-ysAh9JXAKuUsvQUm2D6", "hide": false, "title": "Credit default swaps", "child_data": [{"kind": "Video", "id": 163483627}, {"kind": "Video", "id": 24680}, {"kind": "Video", "id": 24682}, {"kind": "Video", "id": 167407348}, {"kind": "Video", "id": 167407359}], "children": [{"translated_youtube_id": "ccaCl1GKdJ0", "relative_url": "/video/credit-default-swaps--cds--intro", "has_questions": false, "keywords": "credit, default, swaps, CDS", "ka_url": "http://www.khanacademy.org/video/credit-default-swaps--cds--intro", "duration": 200, "translated_title": "Credit default swaps (CDS) intro", "translated_description_html": "Introduction to credit default swaps and why they can be dangerous", "id": "163483627", "description_html": "Introduction to credit default swaps and why they can be dangerous", "title": "Credit default swaps (CDS) intro", "progress_key": "v163483627", "edit_slug": "edit/v/163483627", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Introduction to credit default swaps and why they can be dangerous", "extra_properties": null, "node_slug": "v/credit-default-swaps--cds--intro", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2011-07-20T23:26:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ccaCl1GKdJ0.mp4/ccaCl1GKdJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ccaCl1GKdJ0.mp4/ccaCl1GKdJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ccaCl1GKdJ0.m3u8/ccaCl1GKdJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ccaCl1GKdJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v163483627", "sha": "e91c78fc9e1200fec393fee6bb358200f4f178c0", "translated_description": "Introduction to credit default swaps and why they can be dangerous", "image_url": "https://img.youtube.com/vi/ccaCl1GKdJ0/hqdefault.jpg", "youtube_id": "ccaCl1GKdJ0", "content_kind": "Video", "readable_id": "credit-default-swaps--cds--intro"}, {"translated_youtube_id": "a1lVOO9Y080", "relative_url": "/video/credit-default-swaps", "has_questions": false, "keywords": "credit, default, swap, aig", "ka_url": "http://www.khanacademy.org/video/credit-default-swaps", "duration": 657, "translated_title": "Credit default swaps", "translated_description_html": "Introduction to credit default swaps", "id": "24680", "description_html": "Introduction to credit default swaps", "title": "Credit default swaps", "progress_key": "v24680", "edit_slug": "edit/v/24680", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to credit default swaps", "extra_properties": null, "node_slug": "v/credit-default-swaps", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.mp4/a1lVOO9Y080.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.mp4/a1lVOO9Y080.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a1lVOO9Y080.m3u8/a1lVOO9Y080.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a1lVOO9Y080&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24680", "sha": "a61c189711847a15a83f2347d080002d03b4492a", "translated_description": "Introduction to credit default swaps", "image_url": "https://img.youtube.com/vi/a1lVOO9Y080/hqdefault.jpg", "youtube_id": "a1lVOO9Y080", "content_kind": "Video", "readable_id": "credit-default-swaps"}, {"translated_youtube_id": "neAFEvNsiqw", "relative_url": "/video/credit-default-swaps-2", "has_questions": false, "keywords": "CDS, credit, default, swaps, buffet, financial, weapons, of, mass, destruction", "ka_url": "http://www.khanacademy.org/video/credit-default-swaps-2", "duration": 724, "translated_title": "Credit default swaps 2", "translated_description_html": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "id": "24682", "description_html": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "title": "Credit default swaps 2", "progress_key": "v24682", "edit_slug": "edit/v/24682", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "extra_properties": null, "node_slug": "v/credit-default-swaps-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:38:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.m3u8/neAFEvNsiqw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=neAFEvNsiqw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v24682", "sha": "35a36fda968af7682ace55684ec30f6caa44b613", "translated_description": "Systemic risks of credit default swaps. Financial weapons of mass destruction.", "image_url": "https://img.youtube.com/vi/neAFEvNsiqw/hqdefault.jpg", "youtube_id": "neAFEvNsiqw", "content_kind": "Video", "readable_id": "credit-default-swaps-2"}, {"translated_youtube_id": "ewSw9tF9Z0E", "relative_url": "/video/use-cases-for-credit-default-swaps", "has_questions": false, "keywords": "credit, default, finance, crisis", "ka_url": "http://www.khanacademy.org/video/use-cases-for-credit-default-swaps", "duration": 271, "translated_title": "Use cases for credit default swaps", "translated_description_html": "How credit default swaps can be used as hedges, insurance or side-bets", "id": "167407348", "description_html": "How credit default swaps can be used as hedges, insurance or side-bets", "title": "Use cases for credit default swaps", "progress_key": "v167407348", "edit_slug": "edit/v/167407348", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How credit default swaps can be used as hedges, insurance or side-bets", "extra_properties": null, "node_slug": "v/use-cases-for-credit-default-swaps", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.m3u8/ewSw9tF9Z0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ewSw9tF9Z0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407348", "sha": "01e5e0cf9fbc5d8915331717d2adb392f32bb722", "translated_description": "How credit default swaps can be used as hedges, insurance or side-bets", "image_url": "https://img.youtube.com/vi/ewSw9tF9Z0E/hqdefault.jpg", "youtube_id": "ewSw9tF9Z0E", "content_kind": "Video", "readable_id": "use-cases-for-credit-default-swaps"}, {"translated_youtube_id": "MNUVuZu6heA", "relative_url": "/video/financial-weapons-of-mass-destruction", "has_questions": false, "keywords": "finance, cds", "ka_url": "http://www.khanacademy.org/video/financial-weapons-of-mass-destruction", "duration": 288, "translated_title": "Financial weapons of mass destruction", "translated_description_html": "Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction", "id": "167407359", "description_html": "Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction", "title": "Financial weapons of mass destruction", "progress_key": "v167407359", "edit_slug": "edit/v/167407359", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction", "extra_properties": null, "node_slug": "v/financial-weapons-of-mass-destruction", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-07-22T23:26:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.m3u8/MNUVuZu6heA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MNUVuZu6heA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v167407359", "sha": "f6445daff5100b7ec2c3cc1fd5c64759767a4932", "translated_description": "Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction", "image_url": "https://img.youtube.com/vi/MNUVuZu6heA/hqdefault.jpg", "youtube_id": "MNUVuZu6heA", "content_kind": "Video", "readable_id": "financial-weapons-of-mass-destruction"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "credit-default-swaps-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd4469d9c", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut", "slug": "credit-default-swaps-tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "8d5e31a64ab1de90c580b97945b264d6e9afc3e4", "standalone_title": "Credit default swaps", "y_pos": 0.0, "current_revision_key": "8d5e31a64ab1de90c580b97945b264d6e9afc3e4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut", "translated_standalone_title": "Interest rate swaps", "translated_title": "Interest rate swaps", "gplus_url": "", "id": "x1c4a4d06", "old_key_name": "-gg_D_wxhZo61afSKWJqm9vBPI32f1pXsqR_5esg", "hide": false, "title": "Interest rate swaps", "child_data": [{"kind": "Video", "id": 252117772}, {"kind": "Video", "id": 252117774}], "children": [{"translated_youtube_id": "PLjyj1FJqig", "relative_url": "/video/interest-rate-swap-1", "has_questions": false, "keywords": "LIBOR, fixed, variable, rate, interest", "ka_url": "http://www.khanacademy.org/video/interest-rate-swap-1", "duration": 231, "translated_title": "Interest rate swap 1", "translated_description_html": "The basic dynamic of an interest rate swap", "id": "252117772", "description_html": "The basic dynamic of an interest rate swap", "title": "Interest rate swap 1", "progress_key": "v252117772", "edit_slug": "edit/v/252117772", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The basic dynamic of an interest rate swap", "extra_properties": null, "node_slug": "v/interest-rate-swap-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-17T10:00:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.m3u8/PLjyj1FJqig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PLjyj1FJqig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v252117772", "sha": "03deb3a5aea7d72ace36a2aec5a24adc0d81d46e", "translated_description": "The basic dynamic of an interest rate swap", "image_url": "https://img.youtube.com/vi/PLjyj1FJqig/hqdefault.jpg", "youtube_id": "PLjyj1FJqig", "content_kind": "Video", "readable_id": "interest-rate-swap-1"}, {"translated_youtube_id": "xE43JrjCpjE", "relative_url": "/video/interest-rate-swap-2", "has_questions": false, "keywords": "Interest, Rate, Swap, 2", "ka_url": "http://www.khanacademy.org/video/interest-rate-swap-2", "duration": 287, "translated_title": "Interest rate swap 2", "translated_description_html": null, "id": "252117774", "description_html": null, "title": "Interest rate swap 2", "progress_key": "v252117774", "edit_slug": "edit/v/252117774", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/interest-rate-swap-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-17T10:00:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.m3u8/xE43JrjCpjE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xE43JrjCpjE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v252117774", "sha": "ada37c07901c00c2a80ed0836616650cde5c322b", "translated_description": null, "image_url": "https://img.youtube.com/vi/xE43JrjCpjE/hqdefault.jpg", "youtube_id": "xE43JrjCpjE", "content_kind": "Video", "readable_id": "interest-rate-swap-2"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "interest-rate-swaps-tut", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1c4a4d06", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut", "slug": "interest-rate-swaps-tut", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "826fab0349258d8e396f2240cd001f96bd568cb4", "standalone_title": "Interest rate swaps", "y_pos": 0.0, "current_revision_key": "826fab0349258d8e396f2240cd001f96bd568cb4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/derivative-securities/Black-Scholes", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/Black-Scholes", "translated_standalone_title": "Black-Scholes Formula", "translated_title": "Black-Scholes formula", "gplus_url": "", "id": "x4ab674dd", "old_key_name": null, "hide": false, "title": "Black-Scholes formula", "child_data": [{"kind": "Video", "id": "x0a8d6036"}, {"kind": "Video", "id": "xdf41071e"}], "children": [{"translated_youtube_id": "pr-u4LCFYEY", "relative_url": "/video/introduction-to-the-black-scholes-formula", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-black-scholes-formula", "duration": 624, "translated_title": "Introduction to the Black-Scholes formula", "translated_description_html": "", "id": "x0a8d6036", "description_html": "", "title": "Introduction to the Black-Scholes formula", "progress_key": "vx0a8d6036", "edit_slug": "edit/v/x0a8d6036", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/introduction-to-the-black-scholes-formula", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-29T21:06:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pr-u4LCFYEY.mp4/pr-u4LCFYEY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pr-u4LCFYEY.mp4/pr-u4LCFYEY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pr-u4LCFYEY.m3u8/pr-u4LCFYEY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pr-u4LCFYEY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0a8d6036", "sha": "c9f974e357935e9f2504a975d829e9a6f4bf2887", "translated_description": "", "image_url": "https://img.youtube.com/vi/pr-u4LCFYEY/hqdefault.jpg", "youtube_id": "pr-u4LCFYEY", "content_kind": "Video", "readable_id": "introduction-to-the-black-scholes-formula"}, {"translated_youtube_id": "VIHldsSmASU", "relative_url": "/video/implied-volatility", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/implied-volatility", "duration": 300, "translated_title": "Implied volatility", "translated_description_html": "", "id": "xdf41071e", "description_html": "", "title": "Implied volatility", "progress_key": "vxdf41071e", "edit_slug": "edit/v/xdf41071e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/implied-volatility", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-29T21:06:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VIHldsSmASU.mp4/VIHldsSmASU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VIHldsSmASU.mp4/VIHldsSmASU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VIHldsSmASU.m3u8/VIHldsSmASU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VIHldsSmASU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf41071e", "sha": "2a53aff5c910780ff1d416807e31ca2485bf6673", "translated_description": "", "image_url": "https://img.youtube.com/vi/VIHldsSmASU/hqdefault.jpg", "youtube_id": "VIHldsSmASU", "content_kind": "Video", "readable_id": "implied-volatility"}], "twitter_url": "", "translated_description": "Options have been bought and sold for ages, but finding a rational way to price them seemed beyond our mathematical know-how... until 1973 when Fischer Black and Myron Scholes showed up and gave us the Black-Scholes model. This work was later extended by Robert Merton and now underpins much of modern finance.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Options have been bought and sold for ages, but finding a rational way to price them seemed beyond our mathematical know-how... until 1973 when Fischer Black and Myron Scholes showed up and gave us the Black-Scholes model. This work was later extended by Robert Merton and now underpins much of modern finance.", "x_pos": 0.0, "node_slug": "Black-Scholes", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4ab674dd", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities/Black-Scholes", "extended_slug": "economics-finance-domain/core-finance/derivative-securities/Black-Scholes", "slug": "Black-Scholes", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "87f1921791979b687b6cc7be952a12bb32a7d89f", "standalone_title": "Black-Scholes Formula", "y_pos": 0.0, "current_revision_key": "87f1921791979b687b6cc7be952a12bb32a7d89f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "derivative-securities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcbcda7d7", "topic_page_url": "/economics-finance-domain/core-finance/derivative-securities", "extended_slug": "economics-finance-domain/core-finance/derivative-securities", "slug": "derivative-securities", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "47ff4344bcf03a9ed943fc36a2b680c3660bd550", "standalone_title": "Options, swaps, futures, MBSs, CDOs and other derivatives", "y_pos": 0.0, "current_revision_key": "47ff4344bcf03a9ed943fc36a2b680c3660bd550", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/current-economics", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/current-economics", "translated_standalone_title": "Current economics", "translated_title": "Current economics", "gplus_url": "", "id": "x8c96df53", "old_key_name": "ZsAjgwr4ANpEeJQNikJhR2j5UqRveJQNODWalQKe", "hide": false, "title": "Current economics", "child_data": [{"kind": "Topic", "id": "x883327c1"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/core-finance/current-economics/unemployment-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/unemployment-tutorial", "translated_standalone_title": "Unemployment", "translated_title": "Unemployment", "gplus_url": "", "id": "x883327c1", "old_key_name": "0bEXQQrOzw0pRjJ1SSXhWMvl4kRVOf5mw9yioWPf", "hide": false, "title": "Unemployment", "child_data": [{"kind": "Video", "id": 359055}, {"kind": "Video", "id": 184517738}, {"kind": "Video", "id": 421005}, {"kind": "Video", "id": 375064}], "children": [{"translated_youtube_id": "vUOiOi-XaoQ", "relative_url": "/video/unemployment", "has_questions": false, "keywords": "unemployment, economy, capacity, inflation, deflation", "ka_url": "http://www.khanacademy.org/video/unemployment", "duration": 773, "translated_title": "Unemployment", "translated_description_html": "Analyzing unemployment data to show that \"real\" unemployment is worse than the headline numbers show.", "id": "359055", "description_html": "Analyzing unemployment data to show that \"real\" unemployment is worse than the headline numbers show.", "title": "Unemployment", "progress_key": "v359055", "edit_slug": "edit/v/359055", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Analyzing unemployment data to show that \"real\" unemployment is worse than the headline numbers show.", "extra_properties": null, "node_slug": "v/unemployment", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:38:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vUOiOi-XaoQ.mp4/vUOiOi-XaoQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vUOiOi-XaoQ.mp4/vUOiOi-XaoQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vUOiOi-XaoQ.m3u8/vUOiOi-XaoQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vUOiOi-XaoQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v359055", "sha": "43772a34b837c7416cc51bd0710ef5d063023809", "translated_description": "Analyzing unemployment data to show that \"real\" unemployment is worse than the headline numbers show.", "image_url": "https://img.youtube.com/vi/vUOiOi-XaoQ/hqdefault.jpg", "youtube_id": "vUOiOi-XaoQ", "content_kind": "Video", "readable_id": "unemployment"}, {"translated_youtube_id": "C9onjpQGpSg", "relative_url": "/video/unemployment-rate-primer--v2", "has_questions": false, "keywords": "economics, unemployment", "ka_url": "http://www.khanacademy.org/video/unemployment-rate-primer--v2", "duration": 604, "translated_title": "Unemployment rate primer (v2)", "translated_description_html": "

How the unemployment rate is calculated<\/p>", "id": "184517738", "description_html": "

How the unemployment rate is calculated<\/p>", "title": "Unemployment rate primer (v2)", "progress_key": "v184517738", "edit_slug": "edit/v/184517738", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the unemployment rate is calculated", "extra_properties": {}, "node_slug": "v/unemployment-rate-primer--v2", "deleted": false, "backup_timestamp": "2013-09-28T00:26:44Z", "date_added": "2011-08-02T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C9onjpQGpSg.mp4/C9onjpQGpSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C9onjpQGpSg.mp4/C9onjpQGpSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C9onjpQGpSg.m3u8/C9onjpQGpSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C9onjpQGpSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v184517738", "sha": "909fc10f478d7dc32dba754d2a1129dfaf381a82", "translated_description": "How the unemployment rate is calculated", "image_url": "https://img.youtube.com/vi/C9onjpQGpSg/hqdefault.jpg", "youtube_id": "C9onjpQGpSg", "content_kind": "Video", "readable_id": "unemployment-rate-primer--v2"}, {"translated_youtube_id": "9DGbDx5xQNo", "relative_url": "/video/unemployment-rate-primer", "has_questions": false, "keywords": "economics, unemployment, rate", "ka_url": "http://www.khanacademy.org/video/unemployment-rate-primer", "duration": 578, "translated_title": "Unemployment rate primer", "translated_description_html": "Understanding how the headline unemployment rate (U-3) is calculated", "id": "421005", "description_html": "Understanding how the headline unemployment rate (U-3) is calculated", "title": "Unemployment rate primer", "progress_key": "v421005", "edit_slug": "edit/v/421005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Understanding how the headline unemployment rate (U-3) is calculated", "extra_properties": null, "node_slug": "v/unemployment-rate-primer", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.mp4/9DGbDx5xQNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.mp4/9DGbDx5xQNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9DGbDx5xQNo.m3u8/9DGbDx5xQNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9DGbDx5xQNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v421005", "sha": "af17e031ec5bd752e017601adaafae4261aadefa", "translated_description": "Understanding how the headline unemployment rate (U-3) is calculated", "image_url": "https://img.youtube.com/vi/9DGbDx5xQNo/hqdefault.jpg", "youtube_id": "9DGbDx5xQNo", "content_kind": "Video", "readable_id": "unemployment-rate-primer"}, {"translated_youtube_id": "sSqxVMbml_k", "relative_url": "/video/simple-analysis-of-cost-per-job-saved-from-stimulus", "has_questions": false, "keywords": "stimulus, jobs", "ka_url": "http://www.khanacademy.org/video/simple-analysis-of-cost-per-job-saved-from-stimulus", "duration": 190, "translated_title": "Simple analysis of cost per job saved from stimulus", "translated_description_html": "Simple analysis of cost per job saved from stimulus", "id": "375064", "description_html": "Simple analysis of cost per job saved from stimulus", "title": "Simple analysis of cost per job saved from stimulus", "progress_key": "v375064", "edit_slug": "edit/v/375064", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simple analysis of cost per job saved from stimulus", "extra_properties": null, "node_slug": "v/simple-analysis-of-cost-per-job-saved-from-stimulus", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-02-20T16:38:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sSqxVMbml_k.mp4/sSqxVMbml_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sSqxVMbml_k.mp4/sSqxVMbml_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sSqxVMbml_k.m3u8/sSqxVMbml_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sSqxVMbml_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v375064", "sha": "366af4436ee6cc319bb3992d208ac818f453916b", "translated_description": "Simple analysis of cost per job saved from stimulus", "image_url": "https://img.youtube.com/vi/sSqxVMbml_k/hqdefault.jpg", "youtube_id": "sSqxVMbml_k", "content_kind": "Video", "readable_id": "simple-analysis-of-cost-per-job-saved-from-stimulus"}], "twitter_url": "", "translated_description": "Unemployment is a key metric for judging the health of an economy (and even political stability). This tutorial is a primer on what it is and how it's measured (which you might find surprising).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Unemployment is a key metric for judging the health of an economy (and even political stability). This tutorial is a primer on what it is and how it's measured (which you might find surprising).", "x_pos": 0.0, "node_slug": "unemployment-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax883327c1", "topic_page_url": "/economics-finance-domain/core-finance/current-economics/unemployment-tutorial", "extended_slug": "economics-finance-domain/core-finance/current-economics/unemployment-tutorial", "slug": "unemployment-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1837e6c8992ad4bc3a4593ed5655dca166253011", "standalone_title": "Unemployment", "y_pos": 0.0, "current_revision_key": "1837e6c8992ad4bc3a4593ed5655dca166253011", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Discussions of economic topics and how they relate to current events.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Discussions of economic topics and how they relate to current events.", "x_pos": 0.0, "node_slug": "current-economics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c96df53", "topic_page_url": "/economics-finance-domain/core-finance/current-economics", "extended_slug": "economics-finance-domain/core-finance/current-economics", "slug": "current-economics", "tags": ["economics", "obama", "stimulus", "geithner", "inflation", "deflation", "unemployment"], "kind": "Topic", "in_topic_browser": true, "sha": "d815454859e30b872b3f162934600ad287e6d189", "standalone_title": "Current economics", "y_pos": 0.0, "current_revision_key": "d815454859e30b872b3f162934600ad287e6d189", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos on finance and macroeconomics", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos on finance and macroeconomics", "x_pos": 0.0, "node_slug": "core-finance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7b572fe4", "topic_page_url": "/economics-finance-domain/core-finance", "extended_slug": "economics-finance-domain/core-finance", "slug": "core-finance", "tags": ["finance", "economics", "khan"], "kind": "Topic", "in_topic_browser": true, "sha": "0d8830a6965d93e1dc4475896858ed413796189c", "standalone_title": "Finance and capital markets", "y_pos": 0.0, "current_revision_key": "0d8830a6965d93e1dc4475896858ed413796189c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2", "translated_standalone_title": "Entrepreneurship", "translated_title": "Entrepreneurship", "gplus_url": "", "id": "xae2cab8b", "old_key_name": null, "hide": false, "title": "Entrepreneurship", "child_data": [{"kind": "Topic", "id": "x4fc8c4e3"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs", "translated_standalone_title": "Interviews with entrepreneurs", "translated_title": "Interviews with entrepreneurs", "gplus_url": "", "id": "x4fc8c4e3", "old_key_name": null, "hide": false, "title": "Interviews with entrepreneurs", "child_data": [{"kind": "Topic", "id": "xed179099"}, {"kind": "Topic", "id": "x33da3267"}, {"kind": "Topic", "id": "x3eacb06e"}, {"kind": "Topic", "id": "x4ad01978"}, {"kind": "Topic", "id": "xd041ab40"}, {"kind": "Topic", "id": "x17626d21"}, {"kind": "Topic", "id": "x7f53c2ff"}, {"kind": "Topic", "id": "xe27a1c73"}, {"kind": "Topic", "id": "x0949cedf"}, {"kind": "Topic", "id": "xa612ee73"}, {"kind": "Topic", "id": "xdb66ae54"}, {"kind": "Topic", "id": "x4f2bcd52"}], "children": [{"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/richard-branson", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/richard-branson", "translated_standalone_title": "Richard Branson - Chairman of the Virgin Group", "translated_title": "Richard Branson - Chairman of the Virgin Group", "gplus_url": "", "id": "xed179099", "old_key_name": null, "hide": false, "title": "Richard Branson - Chairman of the Virgin Group", "child_data": [{"kind": "Video", "id": "xa910c963"}], "children": [{"translated_youtube_id": "wDdIwv7H3Sg", "relative_url": "/video/kauffman-richard-branson", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-richard-branson", "duration": 200, "translated_title": "Richard Branson - Chairman of the Virgin Group", "translated_description_html": "", "id": "xa910c963", "description_html": "", "title": "Richard Branson - Chairman of the Virgin Group", "progress_key": "vxa910c963", "edit_slug": "edit/v/xa910c963", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-richard-branson", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wDdIwv7H3Sg.mp4/wDdIwv7H3Sg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wDdIwv7H3Sg.mp4/wDdIwv7H3Sg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wDdIwv7H3Sg.m3u8/wDdIwv7H3Sg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wDdIwv7H3Sg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxa910c963", "sha": "4eea5f70f1c829320b65c4be445d011198e23024", "translated_description": "", "image_url": "https://img.youtube.com/vi/wDdIwv7H3Sg/hqdefault.jpg", "youtube_id": "wDdIwv7H3Sg", "content_kind": "Video", "readable_id": "kauffman-richard-branson"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "richard-branson", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:24:00Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axed179099", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/richard-branson", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/richard-branson", "slug": "richard-branson", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6802281aafe6b9cbd7013d4451d22ba9864c904f", "standalone_title": "Richard Branson - Chairman of the Virgin Group", "y_pos": 0.0, "current_revision_key": "6802281aafe6b9cbd7013d4451d22ba9864c904f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/elon-musk", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/elon-musk", "translated_standalone_title": "Elon Musk - CEO of Tesla Motors and SpaceX", "translated_title": "Elon Musk - CEO of Tesla Motors and SpaceX", "gplus_url": "", "id": "x33da3267", "old_key_name": null, "hide": false, "title": "Elon Musk - CEO of Tesla Motors and SpaceX", "child_data": [{"kind": "Video", "id": "x6a16bad3"}], "children": [{"translated_youtube_id": "vDwzmJpI4io", "relative_url": "/video/elon-musk", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/elon-musk", "duration": 2922, "translated_title": "Elon Musk - CEO of Tesla Motors and SpaceX", "translated_description_html": "", "id": "x6a16bad3", "description_html": "", "title": "Elon Musk - CEO of Tesla Motors and SpaceX", "progress_key": "vx6a16bad3", "edit_slug": "edit/v/x6a16bad3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/elon-musk", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-04-23T00:07:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.mp4/vDwzmJpI4io.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.mp4/vDwzmJpI4io.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.m3u8/vDwzmJpI4io.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDwzmJpI4io&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6a16bad3", "sha": "6c3fa69d4cfd75aa6d5c5becdcd1f262c6fbca11", "translated_description": "", "image_url": "https://img.youtube.com/vi/vDwzmJpI4io/hqdefault.jpg", "youtube_id": "vDwzmJpI4io", "content_kind": "Video", "readable_id": "elon-musk"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "elon-musk", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax33da3267", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/elon-musk", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/elon-musk", "slug": "elon-musk", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5685e0660aa537931cfa9ec8290a2cd9653b1a7e", "standalone_title": "Elon Musk - CEO of Tesla Motors and SpaceX", "y_pos": 0.0, "current_revision_key": "5685e0660aa537931cfa9ec8290a2cd9653b1a7e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/marc-ecko", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/marc-ecko", "translated_standalone_title": "Marc Ecko - Founder of Ecko Unlimited", "translated_title": "Marc Ecko - Founder of Ecko Unlimited", "gplus_url": "", "id": "x3eacb06e", "old_key_name": null, "hide": false, "title": "Marc Ecko - Founder of Ecko Unlimited", "child_data": [{"kind": "Video", "id": "xc2418d9f"}, {"kind": "Video", "id": "xa92dc9bf"}], "children": [{"translated_youtube_id": "7uFbPec0tR4", "relative_url": "/video/kauffman-marc-ecko1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-marc-ecko1", "duration": 220, "translated_title": "Marc Ecko - Founder of Ecko Unlimited", "translated_description_html": "", "id": "xc2418d9f", "description_html": "", "title": "Marc Ecko - Founder of Ecko Unlimited", "progress_key": "vxc2418d9f", "edit_slug": "edit/v/xc2418d9f", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-marc-ecko1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7uFbPec0tR4.mp4/7uFbPec0tR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7uFbPec0tR4.mp4/7uFbPec0tR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7uFbPec0tR4.m3u8/7uFbPec0tR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7uFbPec0tR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxc2418d9f", "sha": "db25e47ef468f523482f7669aadedff6d75e777e", "translated_description": "", "image_url": "https://img.youtube.com/vi/7uFbPec0tR4/hqdefault.jpg", "youtube_id": "7uFbPec0tR4", "content_kind": "Video", "readable_id": "kauffman-marc-ecko1"}, {"translated_youtube_id": "QNB9hnRfgdk", "relative_url": "/video/kauffman---marc-ecko-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman---marc-ecko-2", "duration": 196, "translated_title": "Marc Ecko - Failures are lessons for future success", "translated_description_html": "", "id": "xa92dc9bf", "description_html": "", "title": "Marc Ecko - Failures are lessons for future success", "progress_key": "vxa92dc9bf", "edit_slug": "edit/v/xa92dc9bf", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman---marc-ecko-2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QNB9hnRfgdk.mp4/QNB9hnRfgdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QNB9hnRfgdk.mp4/QNB9hnRfgdk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QNB9hnRfgdk.m3u8/QNB9hnRfgdk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QNB9hnRfgdk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxa92dc9bf", "sha": "ef372bbe1411cfb72e157f62ce9aac1b705083b5", "translated_description": "", "image_url": "https://img.youtube.com/vi/QNB9hnRfgdk/hqdefault.jpg", "youtube_id": "QNB9hnRfgdk", "content_kind": "Video", "readable_id": "kauffman---marc-ecko-2"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "marc-ecko", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3eacb06e", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/marc-ecko", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/marc-ecko", "slug": "marc-ecko", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "5eca14c338f2c1a7326560837a0c157d9e38712e", "standalone_title": "Marc Ecko - Founder of Ecko Unlimited", "y_pos": 0.0, "current_revision_key": "5eca14c338f2c1a7326560837a0c157d9e38712e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/thomas-friedman", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/thomas-friedman", "translated_standalone_title": "Thomas Friedman - Author", "translated_title": "Thomas Friedman - Author", "gplus_url": "", "id": "x4ad01978", "old_key_name": null, "hide": false, "title": "Thomas Friedman - Author", "child_data": [{"kind": "Video", "id": "x8ab9dcb2"}], "children": [{"translated_youtube_id": "6Qr99-l1Oos", "relative_url": "/video/thomas-friedman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/thomas-friedman", "duration": 3745, "translated_title": "Thomas Friedman - Author", "translated_description_html": "", "id": "x8ab9dcb2", "description_html": "", "title": "Thomas Friedman - Author", "progress_key": "vx8ab9dcb2", "edit_slug": "edit/v/x8ab9dcb2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/thomas-friedman", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-06-25T22:05:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.mp4/6Qr99-l1Oos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.mp4/6Qr99-l1Oos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.m3u8/6Qr99-l1Oos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Qr99-l1Oos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8ab9dcb2", "sha": "5c0310eb4a0ad36cecd1ead238cab175ec3b9edd", "translated_description": "", "image_url": "https://img.youtube.com/vi/6Qr99-l1Oos/hqdefault.jpg", "youtube_id": "6Qr99-l1Oos", "content_kind": "Video", "readable_id": "thomas-friedman"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "thomas-friedman", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4ad01978", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/thomas-friedman", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/thomas-friedman", "slug": "thomas-friedman", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "01c9169ce57d5847ee38e7b95472953ccfc1129e", "standalone_title": "Thomas Friedman - Author", "y_pos": 0.0, "current_revision_key": "01c9169ce57d5847ee38e7b95472953ccfc1129e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/philip-rosedale", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/philip-rosedale", "translated_standalone_title": "Philip Rosedale - Founder and Chairman of Second Life", "translated_title": "Philip Rosedale - Founder and Chairman of Second Life", "gplus_url": "", "id": "xd041ab40", "old_key_name": null, "hide": false, "title": "Philip Rosedale - Founder and Chairman of Second Life", "child_data": [{"kind": "Video", "id": "x4e2b3cdc"}, {"kind": "Video", "id": "x9b5d5aea"}, {"kind": "Video", "id": "x9ccde711"}], "children": [{"translated_youtube_id": "nONjtiCnbI0", "relative_url": "/video/kauffman-philip-rosedale1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-philip-rosedale1", "duration": 165, "translated_title": "Philip Rosedale - Founder of Coffee and Power", "translated_description_html": "", "id": "x4e2b3cdc", "description_html": "", "title": "Philip Rosedale - Founder of Coffee and Power", "progress_key": "vx4e2b3cdc", "edit_slug": "edit/v/x4e2b3cdc", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-philip-rosedale1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nONjtiCnbI0.mp4/nONjtiCnbI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nONjtiCnbI0.mp4/nONjtiCnbI0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nONjtiCnbI0.m3u8/nONjtiCnbI0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nONjtiCnbI0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx4e2b3cdc", "sha": "bed2103e776dae904e2c0f353c6125e84234d3d4", "translated_description": "", "image_url": "https://img.youtube.com/vi/nONjtiCnbI0/hqdefault.jpg", "youtube_id": "nONjtiCnbI0", "content_kind": "Video", "readable_id": "kauffman-philip-rosedale1"}, {"translated_youtube_id": "-9gl_HlsatI", "relative_url": "/video/kauffman-philip-rosedale2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-philip-rosedale2", "duration": 147, "translated_title": "Philip Rosedale - Founder and Chairman of Second Life", "translated_description_html": "", "id": "x9b5d5aea", "description_html": "", "title": "Philip Rosedale - Founder and Chairman of Second Life", "progress_key": "vx9b5d5aea", "edit_slug": "edit/v/x9b5d5aea", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-philip-rosedale2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-9gl_HlsatI.mp4/-9gl_HlsatI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-9gl_HlsatI.mp4/-9gl_HlsatI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-9gl_HlsatI.m3u8/-9gl_HlsatI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-9gl_HlsatI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx9b5d5aea", "sha": "fa55250c85f55334b705bb24d3274cd66df91682", "translated_description": "", "image_url": "https://img.youtube.com/vi/-9gl_HlsatI/hqdefault.jpg", "youtube_id": "-9gl_HlsatI", "content_kind": "Video", "readable_id": "kauffman-philip-rosedale2"}, {"translated_youtube_id": "wjCRcXQ3EHg", "relative_url": "/video/kauffman-philip-rosedale3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-philip-rosedale3", "duration": 195, "translated_title": "Philip Rosedale - Evolving ideas vs. new ideas", "translated_description_html": "", "id": "x9ccde711", "description_html": "", "title": "Philip Rosedale - Evolving ideas vs. new ideas", "progress_key": "vx9ccde711", "edit_slug": "edit/v/x9ccde711", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-philip-rosedale3", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wjCRcXQ3EHg.mp4/wjCRcXQ3EHg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wjCRcXQ3EHg.mp4/wjCRcXQ3EHg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wjCRcXQ3EHg.m3u8/wjCRcXQ3EHg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wjCRcXQ3EHg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx9ccde711", "sha": "7bbce27cd146ba071b108a4ac1290636809ce0e1", "translated_description": "", "image_url": "https://img.youtube.com/vi/wjCRcXQ3EHg/hqdefault.jpg", "youtube_id": "wjCRcXQ3EHg", "content_kind": "Video", "readable_id": "kauffman-philip-rosedale3"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "philip-rosedale", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd041ab40", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/philip-rosedale", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/philip-rosedale", "slug": "philip-rosedale", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0b8ff2f897aeddf1a274900b1a430e84ed2e7a84", "standalone_title": "Philip Rosedale - Founder and Chairman of Second Life", "y_pos": 0.0, "current_revision_key": "0b8ff2f897aeddf1a274900b1a430e84ed2e7a84", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/zach-kaplan", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/zach-kaplan", "translated_standalone_title": "Zach Kaplan - CEO of Inventables", "translated_title": "Zach Kaplan - CEO of Inventables", "gplus_url": "", "id": "x17626d21", "old_key_name": null, "hide": false, "title": "Zach Kaplan - CEO of Inventables", "child_data": [{"kind": "Video", "id": "x0e7cd541"}, {"kind": "Video", "id": "x107dd5dd"}], "children": [{"translated_youtube_id": "jOw5_m54Bxg", "relative_url": "/video/kauffman-zach-kaplan2", "has_questions": false, "keywords": "Zach Kaplan, Kauffman, Inventables", "ka_url": "http://www.khanacademy.org/video/kauffman-zach-kaplan2", "duration": 226, "translated_title": "Zach Kaplan - CEO of Inventables", "translated_description_html": "", "id": "x0e7cd541", "description_html": "", "title": "Zach Kaplan - CEO of Inventables", "progress_key": "vx0e7cd541", "edit_slug": "edit/v/x0e7cd541", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-zach-kaplan2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jOw5_m54Bxg.mp4/jOw5_m54Bxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jOw5_m54Bxg.mp4/jOw5_m54Bxg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jOw5_m54Bxg.m3u8/jOw5_m54Bxg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jOw5_m54Bxg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx0e7cd541", "sha": "3dca1316ae1c5f14f0b472c6125f47cf2e35139e", "translated_description": "", "image_url": "https://img.youtube.com/vi/jOw5_m54Bxg/hqdefault.jpg", "youtube_id": "jOw5_m54Bxg", "content_kind": "Video", "readable_id": "kauffman-zach-kaplan2"}, {"translated_youtube_id": "WreIjcz4X_k", "relative_url": "/video/kauffman-zach-kaplan1", "has_questions": false, "keywords": "Zach Kaplan, Kauffman, Inventables", "ka_url": "http://www.khanacademy.org/video/kauffman-zach-kaplan1", "duration": 226, "translated_title": "Zach Kaplan - Digital manufacturing revolution", "translated_description_html": "", "id": "x107dd5dd", "description_html": "", "title": "Zach Kaplan - Digital manufacturing revolution", "progress_key": "vx107dd5dd", "edit_slug": "edit/v/x107dd5dd", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-zach-kaplan1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WreIjcz4X_k.mp4/WreIjcz4X_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WreIjcz4X_k.mp4/WreIjcz4X_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WreIjcz4X_k.m3u8/WreIjcz4X_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WreIjcz4X_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx107dd5dd", "sha": "cd93653eaa13a40862766ef9c8cce44c680e0227", "translated_description": "", "image_url": "https://img.youtube.com/vi/WreIjcz4X_k/hqdefault.jpg", "youtube_id": "WreIjcz4X_k", "content_kind": "Video", "readable_id": "kauffman-zach-kaplan1"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "zach-kaplan", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax17626d21", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/zach-kaplan", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/zach-kaplan", "slug": "zach-kaplan", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ea40e1922735a8c569c7afd0117539eae9d794e3", "standalone_title": "Zach Kaplan - CEO of Inventables", "y_pos": 0.0, "current_revision_key": "ea40e1922735a8c569c7afd0117539eae9d794e3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/davis-guggenheim", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/davis-guggenheim", "translated_standalone_title": "Davis Guggenheim - Filmmaker", "translated_title": "Davis Guggenheim - Filmmaker", "gplus_url": "", "id": "x7f53c2ff", "old_key_name": null, "hide": false, "title": "Davis Guggenheim - Filmmaker", "child_data": [{"kind": "Video", "id": "x92af14b3"}], "children": [{"translated_youtube_id": "Kjlqcz5RiTw", "relative_url": "/video/davis-guggenheim", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/davis-guggenheim", "duration": 2043, "translated_title": "Davis Guggenheim - Filmmaker", "translated_description_html": "", "id": "x92af14b3", "description_html": "", "title": "Davis Guggenheim - Filmmaker", "progress_key": "vx92af14b3", "edit_slug": "edit/v/x92af14b3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/davis-guggenheim", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-29T19:18:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.mp4/Kjlqcz5RiTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.mp4/Kjlqcz5RiTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.m3u8/Kjlqcz5RiTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kjlqcz5RiTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx92af14b3", "sha": "9722492b62fdb190a84f667a43c252bd27766eb3", "translated_description": "", "image_url": "https://img.youtube.com/vi/Kjlqcz5RiTw/hqdefault.jpg", "youtube_id": "Kjlqcz5RiTw", "content_kind": "Video", "readable_id": "davis-guggenheim"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-18T22:06:19Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "davis-guggenheim", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:24:00Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f53c2ff", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/davis-guggenheim", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/davis-guggenheim", "slug": "davis-guggenheim", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "c7e695cca1252d8877d9bf4d023a52ae6133ae3d", "standalone_title": "Davis Guggenheim - Filmmaker", "y_pos": 0.0, "current_revision_key": "c7e695cca1252d8877d9bf4d023a52ae6133ae3d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ta-mccann", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ta-mccann", "translated_standalone_title": "T.A. McCann - Founder and CEO of Gist", "translated_title": "T.A. McCann - Founder and CEO of Gist", "gplus_url": "", "id": "xe27a1c73", "old_key_name": null, "hide": false, "title": "T.A. McCann - Founder and CEO of Gist", "child_data": [{"kind": "Video", "id": "x514c957c"}, {"kind": "Video", "id": "x76981c0e"}], "children": [{"translated_youtube_id": "fakiCFD41TI", "relative_url": "/video/kauffman-ta-mccann1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-ta-mccann1", "duration": 184, "translated_title": "T.A. McCann - Founder and CEO of Gist", "translated_description_html": "", "id": "x514c957c", "description_html": "", "title": "T.A. McCann - Founder and CEO of Gist", "progress_key": "vx514c957c", "edit_slug": "edit/v/x514c957c", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-ta-mccann1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fakiCFD41TI.mp4/fakiCFD41TI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fakiCFD41TI.mp4/fakiCFD41TI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fakiCFD41TI.m3u8/fakiCFD41TI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fakiCFD41TI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx514c957c", "sha": "8fb619c452bfc663505500d13262a060b3833e79", "translated_description": "", "image_url": "https://img.youtube.com/vi/fakiCFD41TI/hqdefault.jpg", "youtube_id": "fakiCFD41TI", "content_kind": "Video", "readable_id": "kauffman-ta-mccann1"}, {"translated_youtube_id": "b9XDyXiJD7U", "relative_url": "/video/kauffman-ta-mccann2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-ta-mccann2", "duration": 215, "translated_title": "T.A. McCann - Translating from ideas to execution", "translated_description_html": "", "id": "x76981c0e", "description_html": "", "title": "T.A. McCann - Translating from ideas to execution", "progress_key": "vx76981c0e", "edit_slug": "edit/v/x76981c0e", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-ta-mccann2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b9XDyXiJD7U.mp4/b9XDyXiJD7U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b9XDyXiJD7U.mp4/b9XDyXiJD7U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b9XDyXiJD7U.m3u8/b9XDyXiJD7U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b9XDyXiJD7U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx76981c0e", "sha": "bfa6e14a981d8cf7f83a79346c463d61a290f876", "translated_description": "", "image_url": "https://img.youtube.com/vi/b9XDyXiJD7U/hqdefault.jpg", "youtube_id": "b9XDyXiJD7U", "content_kind": "Video", "readable_id": "kauffman-ta-mccann2"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "ta-mccann", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe27a1c73", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ta-mccann", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ta-mccann", "slug": "ta-mccann", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2aadc12ddb80653bc61395f6c7383d1b2494510b", "standalone_title": "T.A. McCann - Founder and CEO of Gist", "y_pos": 0.0, "current_revision_key": "2aadc12ddb80653bc61395f6c7383d1b2494510b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ben-milne", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ben-milne", "translated_standalone_title": "Ben Milne - CEO of Dwolla", "translated_title": "Ben Milne - CEO of Dwolla", "gplus_url": "", "id": "x0949cedf", "old_key_name": null, "hide": false, "title": "Ben Milne - CEO of Dwolla", "child_data": [{"kind": "Video", "id": "x9d1dbdd8"}, {"kind": "Video", "id": "xc313d5ee"}], "children": [{"translated_youtube_id": "-ij_dFJvMYk", "relative_url": "/video/kauffman-ben-milne1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-ben-milne1", "duration": 162, "translated_title": "Ben Milne - CEO of Dwolla", "translated_description_html": "", "id": "x9d1dbdd8", "description_html": "", "title": "Ben Milne - CEO of Dwolla", "progress_key": "vx9d1dbdd8", "edit_slug": "edit/v/x9d1dbdd8", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-ben-milne1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-ij_dFJvMYk.mp4/-ij_dFJvMYk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-ij_dFJvMYk.mp4/-ij_dFJvMYk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-ij_dFJvMYk.m3u8/-ij_dFJvMYk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-ij_dFJvMYk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx9d1dbdd8", "sha": "d485e031bc8c3bbac31cc9cd935951148832d1e1", "translated_description": "", "image_url": "https://img.youtube.com/vi/-ij_dFJvMYk/hqdefault.jpg", "youtube_id": "-ij_dFJvMYk", "content_kind": "Video", "readable_id": "kauffman-ben-milne1"}, {"translated_youtube_id": "ZJm57F8NGEc", "relative_url": "/video/kauffman-ben-milne2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-ben-milne2", "duration": 173, "translated_title": "Ben Milne - Importance of Curiosity", "translated_description_html": "", "id": "xc313d5ee", "description_html": "", "title": "Ben Milne - Importance of Curiosity", "progress_key": "vxc313d5ee", "edit_slug": "edit/v/xc313d5ee", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-ben-milne2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJm57F8NGEc.mp4/ZJm57F8NGEc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJm57F8NGEc.mp4/ZJm57F8NGEc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZJm57F8NGEc.m3u8/ZJm57F8NGEc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZJm57F8NGEc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxc313d5ee", "sha": "dc1e35f6e4fb0d67dac2e568667525e7301ea778", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZJm57F8NGEc/hqdefault.jpg", "youtube_id": "ZJm57F8NGEc", "content_kind": "Video", "readable_id": "kauffman-ben-milne2"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "ben-milne", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:24:00Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0949cedf", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ben-milne", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/ben-milne", "slug": "ben-milne", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "ef6d7cfa0da7834dd1e3716d90b0ac8c73436b5d", "standalone_title": "Ben Milne - CEO of Dwolla", "y_pos": 0.0, "current_revision_key": "ef6d7cfa0da7834dd1e3716d90b0ac8c73436b5d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/giles-shih", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/giles-shih", "translated_standalone_title": "Giles Shih - President and CEO of BioResource International", "translated_title": "Giles Shih - President and CEO of BioResource International", "gplus_url": "", "id": "xa612ee73", "old_key_name": null, "hide": false, "title": "Giles Shih - President and CEO of BioResource International", "child_data": [{"kind": "Video", "id": "x2a389e5f"}, {"kind": "Video", "id": "xf9bbab38"}, {"kind": "Video", "id": "xa462da7c"}], "children": [{"translated_youtube_id": "yqCGsOfKdRM", "relative_url": "/video/kauffman-giles-shih1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-giles-shih1", "duration": 204, "translated_title": "Giles Shih - President and CEO of BioResource International", "translated_description_html": "", "id": "x2a389e5f", "description_html": "", "title": "Giles Shih - President and CEO of BioResource International", "progress_key": "vx2a389e5f", "edit_slug": "edit/v/x2a389e5f", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-giles-shih1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yqCGsOfKdRM.mp4/yqCGsOfKdRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yqCGsOfKdRM.mp4/yqCGsOfKdRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yqCGsOfKdRM.m3u8/yqCGsOfKdRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yqCGsOfKdRM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx2a389e5f", "sha": "31b33416cb9d4afa4ab685fc9323d72d80ce025a", "translated_description": "", "image_url": "https://img.youtube.com/vi/yqCGsOfKdRM/hqdefault.jpg", "youtube_id": "yqCGsOfKdRM", "content_kind": "Video", "readable_id": "kauffman-giles-shih1"}, {"translated_youtube_id": "taTxFgtb1_Q", "relative_url": "/video/kauffman---giles-shih-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman---giles-shih-2", "duration": 210, "translated_title": "Giles Shih - The importance of education", "translated_description_html": "", "id": "xf9bbab38", "description_html": "", "title": "Giles Shih - The importance of education", "progress_key": "vxf9bbab38", "edit_slug": "edit/v/xf9bbab38", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman---giles-shih-2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/taTxFgtb1_Q.mp4/taTxFgtb1_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/taTxFgtb1_Q.mp4/taTxFgtb1_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/taTxFgtb1_Q.m3u8/taTxFgtb1_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=taTxFgtb1_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxf9bbab38", "sha": "eb648c4192675fb9e0f6fe0d06abac861767e025", "translated_description": "", "image_url": "https://img.youtube.com/vi/taTxFgtb1_Q/hqdefault.jpg", "youtube_id": "taTxFgtb1_Q", "content_kind": "Video", "readable_id": "kauffman---giles-shih-2"}, {"translated_youtube_id": "p-cZzHxVoG8", "relative_url": "/video/kauffman-giles-shih3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-giles-shih3", "duration": 216, "translated_title": "Giles Shih - Making an idea into a business", "translated_description_html": "", "id": "xa462da7c", "description_html": "", "title": "Giles Shih - Making an idea into a business", "progress_key": "vxa462da7c", "edit_slug": "edit/v/xa462da7c", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-giles-shih3", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p-cZzHxVoG8.mp4/p-cZzHxVoG8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p-cZzHxVoG8.mp4/p-cZzHxVoG8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p-cZzHxVoG8.m3u8/p-cZzHxVoG8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p-cZzHxVoG8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxa462da7c", "sha": "39f107f7396353b551940526ee2576dbef229926", "translated_description": "", "image_url": "https://img.youtube.com/vi/p-cZzHxVoG8/hqdefault.jpg", "youtube_id": "p-cZzHxVoG8", "content_kind": "Video", "readable_id": "kauffman-giles-shih3"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "giles-shih", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:24:00Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa612ee73", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/giles-shih", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/giles-shih", "slug": "giles-shih", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "dc5208ee9a2c6ca2a5568b7437b7cd47a38cc761", "standalone_title": "Giles Shih - President and CEO of BioResource International", "y_pos": 0.0, "current_revision_key": "dc5208ee9a2c6ca2a5568b7437b7cd47a38cc761", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/danny-oneill", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/danny-oneill", "translated_standalone_title": "Danny O'Neill - President of The Roasterie", "translated_title": "Danny O'Neill - President of The Roasterie", "gplus_url": "", "id": "xdb66ae54", "old_key_name": null, "hide": false, "title": "Danny O'Neill - President of The Roasterie", "child_data": [{"kind": "Video", "id": "xb62e74a7"}, {"kind": "Video", "id": "xa49fb089"}, {"kind": "Video", "id": "x891edd3f"}, {"kind": "Video", "id": "x44f4c318"}], "children": [{"translated_youtube_id": "gtlaJuBuQvE", "relative_url": "/video/kauffman-danny-oneill1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-danny-oneill1", "duration": 191, "translated_title": "Danny O'Neill - President of The Roasterie", "translated_description_html": "", "id": "xb62e74a7", "description_html": "", "title": "Danny O'Neill - President of The Roasterie", "progress_key": "vxb62e74a7", "edit_slug": "edit/v/xb62e74a7", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-danny-oneill1", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gtlaJuBuQvE.mp4/gtlaJuBuQvE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gtlaJuBuQvE.mp4/gtlaJuBuQvE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gtlaJuBuQvE.m3u8/gtlaJuBuQvE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gtlaJuBuQvE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxb62e74a7", "sha": "88ad20e31fb938a284fc417d13bde5341da98591", "translated_description": "", "image_url": "https://img.youtube.com/vi/gtlaJuBuQvE/hqdefault.jpg", "youtube_id": "gtlaJuBuQvE", "content_kind": "Video", "readable_id": "kauffman-danny-oneill1"}, {"translated_youtube_id": "hBES75bsh64", "relative_url": "/video/kauffman-danny-oneill2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-danny-oneill2", "duration": 220, "translated_title": "Danny O'Neill - Getting started", "translated_description_html": "", "id": "xa49fb089", "description_html": "", "title": "Danny O'Neill - Getting started", "progress_key": "vxa49fb089", "edit_slug": "edit/v/xa49fb089", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-danny-oneill2", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hBES75bsh64.mp4/hBES75bsh64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hBES75bsh64.mp4/hBES75bsh64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hBES75bsh64.m3u8/hBES75bsh64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hBES75bsh64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vxa49fb089", "sha": "a1a2610a4b185606d47c73ed5000523ef7ed0c6b", "translated_description": "", "image_url": "https://img.youtube.com/vi/hBES75bsh64/hqdefault.jpg", "youtube_id": "hBES75bsh64", "content_kind": "Video", "readable_id": "kauffman-danny-oneill2"}, {"translated_youtube_id": "q3d7488qjgs", "relative_url": "/video/kauffman-danny-oneill3", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-danny-oneill3", "duration": 194, "translated_title": "Danny O'Neill - Finding the perfect customer", "translated_description_html": "", "id": "x891edd3f", "description_html": "", "title": "Danny O'Neill - Finding the perfect customer", "progress_key": "vx891edd3f", "edit_slug": "edit/v/x891edd3f", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-danny-oneill3", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q3d7488qjgs.mp4/q3d7488qjgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q3d7488qjgs.mp4/q3d7488qjgs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q3d7488qjgs.m3u8/q3d7488qjgs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q3d7488qjgs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx891edd3f", "sha": "b80f750256973222495887a66072b79f793d8f81", "translated_description": "", "image_url": "https://img.youtube.com/vi/q3d7488qjgs/hqdefault.jpg", "youtube_id": "q3d7488qjgs", "content_kind": "Video", "readable_id": "kauffman-danny-oneill3"}, {"translated_youtube_id": "23GcWeVJMTQ", "relative_url": "/video/kauffman-danny-oneill4", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-danny-oneill4", "duration": 165, "translated_title": "Danny O'Neill - Differentiation in your market", "translated_description_html": "", "id": "x44f4c318", "description_html": "", "title": "Danny O'Neill - Differentiation in your market", "progress_key": "vx44f4c318", "edit_slug": "edit/v/x44f4c318", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:34Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-danny-oneill4", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/23GcWeVJMTQ.mp4/23GcWeVJMTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/23GcWeVJMTQ.mp4/23GcWeVJMTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/23GcWeVJMTQ.m3u8/23GcWeVJMTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=23GcWeVJMTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx44f4c318", "sha": "512f1008b45e844e66626224456690b4f0a36286", "translated_description": "", "image_url": "https://img.youtube.com/vi/23GcWeVJMTQ/hqdefault.jpg", "youtube_id": "23GcWeVJMTQ", "content_kind": "Video", "readable_id": "kauffman-danny-oneill4"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "danny-oneill", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdb66ae54", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/danny-oneill", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/danny-oneill", "slug": "danny-oneill", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "517248bb097c1725852a46e7fad2b4b8c307e87d", "standalone_title": "Danny O'Neill - President of The Roasterie", "y_pos": 0.0, "current_revision_key": "517248bb097c1725852a46e7fad2b4b8c307e87d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "economics-finance-domain", "relative_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/lara-morgan", "web_url": "", "ka_url": "http://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/lara-morgan", "translated_standalone_title": "Lara Morgan - Founder of Pacific Direct", "translated_title": "Lara Morgan - Founder of Pacific Direct", "gplus_url": "", "id": "x4f2bcd52", "old_key_name": null, "hide": false, "title": "Lara Morgan - Founder of Pacific Direct", "child_data": [{"kind": "Video", "id": "x36e13fa7"}], "children": [{"translated_youtube_id": "JBOFe2nwob4", "relative_url": "/video/kauffman-lara-morgan", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/kauffman-lara-morgan", "duration": 221, "translated_title": "Lara Morgan - Founder of Pacific Direct", "translated_description_html": "", "id": "x36e13fa7", "description_html": "", "title": "Lara Morgan - Founder of Pacific Direct", "progress_key": "vx36e13fa7", "edit_slug": "edit/v/x36e13fa7", "author_names": ["Kauffman Foundation"], "deleted_mod_time": "2013-09-17T22:10:33Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kauffman-lara-morgan", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-09-13T23:16:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JBOFe2nwob4.mp4/JBOFe2nwob4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JBOFe2nwob4.mp4/JBOFe2nwob4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JBOFe2nwob4.m3u8/JBOFe2nwob4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JBOFe2nwob4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "vx36e13fa7", "sha": "e98525831797259e7b8ebe6747086d435affe34f", "translated_description": "", "image_url": "https://img.youtube.com/vi/JBOFe2nwob4/hqdefault.jpg", "youtube_id": "JBOFe2nwob4", "content_kind": "Video", "readable_id": "kauffman-lara-morgan"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "lara-morgan", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4f2bcd52", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/lara-morgan", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/lara-morgan", "slug": "lara-morgan", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7b95fc44c7ab90fc5ca1e58ac72ab97b1ef961a6", "standalone_title": "Lara Morgan - Founder of Pacific Direct", "y_pos": 0.0, "current_revision_key": "7b95fc44c7ab90fc5ca1e58ac72ab97b1ef961a6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy.", "deleted_mod_time": "2013-09-13T23:16:13Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy.", "x_pos": 0.0, "node_slug": "interviews-entrepreneurs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T01:22:43Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4fc8c4e3", "topic_page_url": "/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs", "extended_slug": "economics-finance-domain/entrepreneurship2/interviews-entrepreneurs", "slug": "interviews-entrepreneurs", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "a5234cbc215aed959de15dd350c9ed8a4778ede6", "standalone_title": "Interviews with entrepreneurs", "y_pos": 0.0, "current_revision_key": "a5234cbc215aed959de15dd350c9ed8a4778ede6", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-09-13T23:16:13Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "entrepreneurship2", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-18T22:07:42Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axae2cab8b", "topic_page_url": "/economics-finance-domain/entrepreneurship2", "extended_slug": "economics-finance-domain/entrepreneurship2", "slug": "entrepreneurship2", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d511c5a2c553e92be40c1e51593979c279dca199", "standalone_title": "Entrepreneurship", "y_pos": 0.0, "current_revision_key": "d511c5a2c553e92be40c1e51593979c279dca199", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Microeconomics, macroeconomics, finance, accounting and capital markets.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Microeconomics, macroeconomics, finance, accounting and capital markets.", "x_pos": 0.0, "node_slug": "economics-finance-domain", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Domain", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ca94af1", "topic_page_url": null, "extended_slug": "economics-finance-domain", "slug": "economics-finance-domain", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "42773213708d0cae9dedea25ca161d35687198a8", "standalone_title": "Economics and finance", "y_pos": 0.0, "current_revision_key": "42773213708d0cae9dedea25ca161d35687198a8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Humanities", "translated_title": "Humanities", "gplus_url": "", "id": "x905db83d", "old_key_name": "7Gm-aZj-5ORB2-4F3fO5jw9HXqEpnJdYoHuNljci", "hide": false, "title": "Humanities", "child_data": [{"kind": "Topic", "id": "x66f79d8a"}, {"kind": "Topic", "id": "x15c3149c"}, {"kind": "Topic", "id": "x5be34230"}, {"kind": "Topic", "id": "x5b5703c9"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history", "translated_standalone_title": "History", "translated_title": "World history", "gplus_url": "", "id": "x66f79d8a", "old_key_name": "HyaWNQ0h5isJhDXca1aTygds6a0oF7uZwWzAwd85", "hide": false, "title": "World history", "child_data": [{"kind": "Topic", "id": "xf121c1dc"}, {"kind": "Topic", "id": "xbb820063"}, {"kind": "Topic", "id": "xeb4863fd"}, {"kind": "Topic", "id": "x5b63dd0b"}, {"kind": "Topic", "id": "x8d361957"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist", "translated_standalone_title": "World History", "translated_title": "1900 - present: The recent past", "gplus_url": "", "id": "xf121c1dc", "old_key_name": "FMUpOY3l4bTkG8boSyVoaYEYrs709G00nJNSC_nw", "hide": false, "title": "1900 - present: The recent past", "child_data": [{"kind": "Topic", "id": "x6b56a225"}, {"kind": "Topic", "id": "x3a5e93c6"}, {"kind": "Topic", "id": "xada17092"}, {"kind": "Topic", "id": "xf9b473a5"}, {"kind": "Topic", "id": "x297c9471"}, {"kind": "Topic", "id": "x2d3f2fbe"}, {"kind": "Topic", "id": "xe4f72825"}, {"kind": "Topic", "id": "xb2537127"}, {"kind": "Topic", "id": "x3f361c7b"}, {"kind": "Topic", "id": "xbf3fa3d6"}, {"kind": "Topic", "id": "x2a14c9d6"}, {"kind": "Topic", "id": "x428310fd"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/world-war-I-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/world-war-I-tutorial", "translated_standalone_title": "The beginning of World War I", "translated_title": "Beginning of World War I", "gplus_url": "", "id": "x6b56a225", "old_key_name": "Zq4euDYYn1t-bIcBjcR4O9i2ScB73PklC75cHTqq", "hide": false, "title": "Beginning of World War I", "child_data": [{"kind": "Video", "id": "xcfd27578"}, {"kind": "Video", "id": "x5593b29e"}, {"kind": "Video", "id": "xb639994b"}, {"kind": "Video", "id": "x0691b50e"}, {"kind": "Video", "id": "x465b5bff"}, {"kind": "Video", "id": "x816d6038"}, {"kind": "Exercise", "id": "xbe7b594f"}], "children": [{"translated_youtube_id": "IyoUWRAharQ", "relative_url": "/video/empires-before-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/empires-before-world-war-i", "duration": 457, "translated_title": "Empires before World War I", "translated_description_html": "Austria-Hungary. Ottoman empire. British, German, French and Russian empires.", "id": "xcfd27578", "description_html": "Austria-Hungary. Ottoman empire. British, German, French and Russian empires.", "title": "Empires before World War I", "progress_key": "vxcfd27578", "edit_slug": "edit/v/xcfd27578", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Austria-Hungary. Ottoman empire. British, German, French and Russian empires.", "extra_properties": {"original_url": ""}, "node_slug": "v/empires-before-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-15T22:57:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IyoUWRAharQ.mp4/IyoUWRAharQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IyoUWRAharQ.mp4/IyoUWRAharQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IyoUWRAharQ.m3u8/IyoUWRAharQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IyoUWRAharQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcfd27578", "sha": "099ec2a3a4c96bc4354c1d4741403a8931dec688", "translated_description": "Austria-Hungary. Ottoman empire. British, German, French and Russian empires.", "image_url": "https://img.youtube.com/vi/IyoUWRAharQ/hqdefault.jpg", "youtube_id": "IyoUWRAharQ", "content_kind": "Video", "readable_id": "empires-before-world-war-i"}, {"translated_youtube_id": "UNgx_YSygyU", "relative_url": "/video/german-and-italian-empires-in-1914", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/german-and-italian-empires-in-1914", "duration": 165, "translated_title": "German and Italian Empires in 1914", "translated_description_html": "

Italian and German Empires in 1914. Tsingtao beer.<\/p>\n", "id": "x5593b29e", "description_html": "

Italian and German Empires in 1914. Tsingtao beer.<\/p>\n", "title": "German and Italian Empires in 1914", "progress_key": "vx5593b29e", "edit_slug": "edit/v/x5593b29e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Italian and German Empires in 1914. Tsingtao beer.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/german-and-italian-empires-in-1914", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-04-22T17:07:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UNgx_YSygyU.mp4/UNgx_YSygyU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UNgx_YSygyU.mp4/UNgx_YSygyU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UNgx_YSygyU.m3u8/UNgx_YSygyU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UNgx_YSygyU&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "vx5593b29e", "sha": "a82c5a4f928e3126ad939e7a5680845d8820d266", "translated_description": "Italian and German Empires in 1914. Tsingtao beer.\n", "image_url": "https://img.youtube.com/vi/UNgx_YSygyU/hqdefault.jpg", "youtube_id": "UNgx_YSygyU", "content_kind": "Video", "readable_id": "german-and-italian-empires-in-1914"}, {"translated_youtube_id": "KMMAL3v0lA0", "relative_url": "/video/alliances-leading-to-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/alliances-leading-to-world-war-i", "duration": 284, "translated_title": "Alliances leading to World War I", "translated_description_html": "", "id": "xb639994b", "description_html": "", "title": "Alliances leading to World War I", "progress_key": "vxb639994b", "edit_slug": "edit/v/xb639994b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/alliances-leading-to-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-15T22:57:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KMMAL3v0lA0.mp4/KMMAL3v0lA0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KMMAL3v0lA0.mp4/KMMAL3v0lA0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KMMAL3v0lA0.m3u8/KMMAL3v0lA0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KMMAL3v0lA0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb639994b", "sha": "3dc6fc13894035fda5e0e75582c47362d5387ec6", "translated_description": "", "image_url": "https://img.youtube.com/vi/KMMAL3v0lA0/hqdefault.jpg", "youtube_id": "KMMAL3v0lA0", "content_kind": "Video", "readable_id": "alliances-leading-to-world-war-i"}, {"translated_youtube_id": "6RKMRBxDm20", "relative_url": "/video/language-and-religion-of-the-former-yugoslavia", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/language-and-religion-of-the-former-yugoslavia", "duration": 377, "translated_title": "Language and religion of the former Yugoslavia", "translated_description_html": "", "id": "x0691b50e", "description_html": "", "title": "Language and religion of the former Yugoslavia", "progress_key": "vx0691b50e", "edit_slug": "edit/v/x0691b50e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/language-and-religion-of-the-former-yugoslavia", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-15T22:58:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6RKMRBxDm20.mp4/6RKMRBxDm20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6RKMRBxDm20.mp4/6RKMRBxDm20.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6RKMRBxDm20.m3u8/6RKMRBxDm20.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6RKMRBxDm20&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0691b50e", "sha": "cd8bce600b12532c57a3ccedbae38b9fd666d604", "translated_description": "", "image_url": "https://img.youtube.com/vi/6RKMRBxDm20/hqdefault.jpg", "youtube_id": "6RKMRBxDm20", "content_kind": "Video", "readable_id": "language-and-religion-of-the-former-yugoslavia"}, {"translated_youtube_id": "heKuwogLwnk", "relative_url": "/video/assassination-of-franz-ferdinand-by-gavrilo-princip", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/assassination-of-franz-ferdinand-by-gavrilo-princip", "duration": 334, "translated_title": "Assassination of Franz Ferdinand by Gavrilo Princip", "translated_description_html": "", "id": "x465b5bff", "description_html": "", "title": "Assassination of Franz Ferdinand by Gavrilo Princip", "progress_key": "vx465b5bff", "edit_slug": "edit/v/x465b5bff", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/assassination-of-franz-ferdinand-by-gavrilo-princip", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-19T17:19:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/heKuwogLwnk.mp4/heKuwogLwnk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/heKuwogLwnk.mp4/heKuwogLwnk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/heKuwogLwnk.m3u8/heKuwogLwnk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=heKuwogLwnk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx465b5bff", "sha": "42dbaa08b0611e2c33cbdf342869fdd53b1b7e40", "translated_description": "", "image_url": "https://img.youtube.com/vi/heKuwogLwnk/hqdefault.jpg", "youtube_id": "heKuwogLwnk", "content_kind": "Video", "readable_id": "assassination-of-franz-ferdinand-by-gavrilo-princip"}, {"translated_youtube_id": "huOnuYAyv6w", "relative_url": "/video/the-great-war-begins", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-great-war-begins", "duration": 372, "translated_title": "The Great War begins", "translated_description_html": "", "id": "x816d6038", "description_html": "", "title": "The Great War begins", "progress_key": "vx816d6038", "edit_slug": "edit/v/x816d6038", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/the-great-war-begins", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-19T17:20:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/huOnuYAyv6w.mp4/huOnuYAyv6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/huOnuYAyv6w.mp4/huOnuYAyv6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/huOnuYAyv6w.m3u8/huOnuYAyv6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=huOnuYAyv6w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx816d6038", "sha": "a96902c6e81a4c4aa19929a4000c8f9ff1c9ea41", "translated_description": "", "image_url": "https://img.youtube.com/vi/huOnuYAyv6w/hqdefault.jpg", "youtube_id": "huOnuYAyv6w", "content_kind": "Video", "readable_id": "the-great-war-begins"}], "twitter_url": "", "translated_description": "Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unforunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unforunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I).", "x_pos": 0.0, "node_slug": "world-war-I-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6b56a225", "topic_page_url": "/humanities/history/euro-hist/world-war-I-tutorial", "extended_slug": "humanities/history/euro-hist/world-war-I-tutorial", "slug": "world-war-I-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6b5e118f026a542d1ea698c479bbfe9374d57f21", "standalone_title": "The beginning of World War I", "y_pos": 0.0, "current_revision_key": "6b5e118f026a542d1ea698c479bbfe9374d57f21", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/american-entry-world-war-I", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/american-entry-world-war-I", "translated_standalone_title": "American entry into the Great War (World War I)", "translated_title": "Blockades and American entry", "gplus_url": "", "id": "x3a5e93c6", "old_key_name": "rclDvfp5nx1Hrqx76_prBW-j1ckeK06Wwbio9Hmx", "hide": false, "title": "Blockades and American entry", "child_data": [{"kind": "Video", "id": "x9cd8bc4f"}, {"kind": "Video", "id": "xeb59706d"}, {"kind": "Video", "id": "xa235069b"}, {"kind": "Article", "id": "xb500ddbc"}, {"kind": "Article", "id": "xe57963e3"}, {"kind": "Exercise", "id": "xaa4df83f"}], "children": [{"translated_youtube_id": "B_P48TakY3Y", "relative_url": "/video/blockades--u-boats-and-sinking-of-the-lusitania", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/blockades--u-boats-and-sinking-of-the-lusitania", "duration": 724, "translated_title": "Blockades, u-boats and sinking of the Lusitania", "translated_description_html": "", "id": "x9cd8bc4f", "description_html": "", "title": "Blockades, u-boats and sinking of the Lusitania", "progress_key": "vx9cd8bc4f", "edit_slug": "edit/v/x9cd8bc4f", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/blockades--u-boats-and-sinking-of-the-lusitania", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-20T00:26:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B_P48TakY3Y.mp4/B_P48TakY3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B_P48TakY3Y.mp4/B_P48TakY3Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B_P48TakY3Y.m3u8/B_P48TakY3Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B_P48TakY3Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9cd8bc4f", "sha": "fd3d49722c00e1a6c9d2b477211e321fdbec0878", "translated_description": "", "image_url": "https://img.youtube.com/vi/B_P48TakY3Y/hqdefault.jpg", "youtube_id": "B_P48TakY3Y", "content_kind": "Video", "readable_id": "blockades--u-boats-and-sinking-of-the-lusitania"}, {"translated_youtube_id": "Gedy8LwQTaw", "relative_url": "/video/zimmermann-telegram", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/zimmermann-telegram", "duration": 250, "translated_title": "Zimmermann Telegram", "translated_description_html": "", "id": "xeb59706d", "description_html": "", "title": "Zimmermann Telegram", "progress_key": "vxeb59706d", "edit_slug": "edit/v/xeb59706d", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/zimmermann-telegram", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-03-20T00:27:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gedy8LwQTaw.mp4/Gedy8LwQTaw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gedy8LwQTaw.mp4/Gedy8LwQTaw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gedy8LwQTaw.m3u8/Gedy8LwQTaw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gedy8LwQTaw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxeb59706d", "sha": "7edc321532f0d678181bab95a2edd554e41fedff", "translated_description": "", "image_url": "https://img.youtube.com/vi/Gedy8LwQTaw/hqdefault.jpg", "youtube_id": "Gedy8LwQTaw", "content_kind": "Video", "readable_id": "zimmermann-telegram"}, {"translated_youtube_id": "dHXzusNSF60", "relative_url": "/video/united-states-enters-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/united-states-enters-world-war-i", "duration": 425, "translated_title": "United States enters World War I", "translated_description_html": "", "id": "xa235069b", "description_html": "", "title": "United States enters World War I", "progress_key": "vxa235069b", "edit_slug": "edit/v/xa235069b", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/united-states-enters-world-war-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-03-20T00:29:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dHXzusNSF60.mp4/dHXzusNSF60.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dHXzusNSF60.mp4/dHXzusNSF60.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dHXzusNSF60.m3u8/dHXzusNSF60.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dHXzusNSF60&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa235069b", "sha": "810543331ba18bd3a5eb73debf50df6272f335b6", "translated_description": "", "image_url": "https://img.youtube.com/vi/dHXzusNSF60/hqdefault.jpg", "youtube_id": "dHXzusNSF60", "content_kind": "Video", "readable_id": "united-states-enters-world-war-i"}], "twitter_url": "", "translated_description": "Naval blockades in World War I to starve enemy nation of trade.\n\nContrary to what many think, American entry into WWI was not due purely to the sinking of the Lusitania. Learn more about what caused the United States to play its first major direct role in a European conflict.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Naval blockades in World War I to starve enemy nation of trade.\n\nContrary to what many think, American entry into WWI was not due purely to the sinking of the Lusitania. Learn more about what caused the United States to play its first major direct role in a European conflict.", "x_pos": 0.0, "node_slug": "american-entry-world-war-I", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T00:32:46Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3a5e93c6", "topic_page_url": "/humanities/history/euro-hist/american-entry-world-war-I", "extended_slug": "humanities/history/euro-hist/american-entry-world-war-I", "slug": "american-entry-world-war-I", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "52d791f75e76f1ae750c36c8ab7be30770ff9ef4", "standalone_title": "American entry into the Great War (World War I)", "y_pos": 0.0, "current_revision_key": "52d791f75e76f1ae750c36c8ab7be30770ff9ef4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/world-war-I-fighting", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/world-war-I-fighting", "translated_standalone_title": "Western and Eastern fronts of World War I", "translated_title": "Western and Eastern fronts of World War I", "gplus_url": "", "id": "xada17092", "old_key_name": "haVK4HnxOtk9sPL-7aTZRWMthkTozqlqOUhJ6fe8", "hide": false, "title": "Western and Eastern fronts of World War I", "child_data": [{"kind": "Video", "id": "x6141ef88"}, {"kind": "Video", "id": "xfa09eab1"}, {"kind": "Video", "id": "xb27db865"}, {"kind": "Video", "id": "x3e4cf0de"}, {"kind": "Video", "id": "xd73dff5e"}, {"kind": "Video", "id": "x619d8678"}, {"kind": "Exercise", "id": "x7082f7fe"}], "children": [{"translated_youtube_id": "7AOOlxbZN3E", "relative_url": "/video/schlieffen-plan-and-the-first-battle-of-the-marne", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/schlieffen-plan-and-the-first-battle-of-the-marne", "duration": 438, "translated_title": "Schlieffen Plan and the First Battle of the Marne", "translated_description_html": "", "id": "x6141ef88", "description_html": "", "title": "Schlieffen Plan and the First Battle of the Marne", "progress_key": "vx6141ef88", "edit_slug": "edit/v/x6141ef88", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/schlieffen-plan-and-the-first-battle-of-the-marne", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-19T17:20:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7AOOlxbZN3E.mp4/7AOOlxbZN3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7AOOlxbZN3E.mp4/7AOOlxbZN3E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7AOOlxbZN3E.m3u8/7AOOlxbZN3E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7AOOlxbZN3E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6141ef88", "sha": "f29240044ebf16ec94a9244810cba8174487180c", "translated_description": "", "image_url": "https://img.youtube.com/vi/7AOOlxbZN3E/hqdefault.jpg", "youtube_id": "7AOOlxbZN3E", "content_kind": "Video", "readable_id": "schlieffen-plan-and-the-first-battle-of-the-marne"}, {"translated_youtube_id": "qPoLL0E2W8A", "relative_url": "/video/comparing-the-eastern-and-western-fronts-in-wwi", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/comparing-the-eastern-and-western-fronts-in-wwi", "duration": 262, "translated_title": "Comparing the Eastern and Western fronts in WWI", "translated_description_html": "", "id": "xfa09eab1", "description_html": "", "title": "Comparing the Eastern and Western fronts in WWI", "progress_key": "vxfa09eab1", "edit_slug": "edit/v/xfa09eab1", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/comparing-the-eastern-and-western-fronts-in-wwi", "deleted": false, "backup_timestamp": "2013-09-24T00:32:46Z", "date_added": "2013-03-27T00:33:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qPoLL0E2W8A.mp4/qPoLL0E2W8A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qPoLL0E2W8A.mp4/qPoLL0E2W8A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qPoLL0E2W8A.m3u8/qPoLL0E2W8A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qPoLL0E2W8A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfa09eab1", "sha": "c733b0685ea5af55eb5e2690648e7ab04cecaff8", "translated_description": "", "image_url": "https://img.youtube.com/vi/qPoLL0E2W8A/hqdefault.jpg", "youtube_id": "qPoLL0E2W8A", "content_kind": "Video", "readable_id": "comparing-the-eastern-and-western-fronts-in-wwi"}, {"translated_youtube_id": "ATuMxyoVh_8", "relative_url": "/video/world-war-i-eastern-front", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/world-war-i-eastern-front", "duration": 707, "translated_title": "World War I Eastern front", "translated_description_html": "", "id": "xb27db865", "description_html": "", "title": "World War I Eastern front", "progress_key": "vxb27db865", "edit_slug": "edit/v/xb27db865", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/world-war-i-eastern-front", "deleted": false, "backup_timestamp": "2013-09-24T00:32:46Z", "date_added": "2013-03-27T00:33:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ATuMxyoVh_8.mp4/ATuMxyoVh_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ATuMxyoVh_8.mp4/ATuMxyoVh_8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ATuMxyoVh_8.m3u8/ATuMxyoVh_8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ATuMxyoVh_8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb27db865", "sha": "96f0b64b5426046ff6e107a32dadb5dcb08c8f7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/ATuMxyoVh_8/hqdefault.jpg", "youtube_id": "ATuMxyoVh_8", "content_kind": "Video", "readable_id": "world-war-i-eastern-front"}, {"translated_youtube_id": "jR_XZyhLSA8", "relative_url": "/video/battles-of-verdun--somme-and-the-hindenburg-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/battles-of-verdun--somme-and-the-hindenburg-line", "duration": 392, "translated_title": "Battles of Verdun, Somme and the Hindenburg Line", "translated_description_html": "", "id": "x3e4cf0de", "description_html": "", "title": "Battles of Verdun, Somme and the Hindenburg Line", "progress_key": "vx3e4cf0de", "edit_slug": "edit/v/x3e4cf0de", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/battles-of-verdun--somme-and-the-hindenburg-line", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-27T00:34:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jR_XZyhLSA8.mp4/jR_XZyhLSA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jR_XZyhLSA8.mp4/jR_XZyhLSA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jR_XZyhLSA8.m3u8/jR_XZyhLSA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jR_XZyhLSA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3e4cf0de", "sha": "0b6702654725b9c5f50f82423fca6edfc90131fb", "translated_description": "", "image_url": "https://img.youtube.com/vi/jR_XZyhLSA8/hqdefault.jpg", "youtube_id": "jR_XZyhLSA8", "content_kind": "Video", "readable_id": "battles-of-verdun--somme-and-the-hindenburg-line"}, {"translated_youtube_id": "xFBK9534NI8", "relative_url": "/video/closing-stages-of-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/closing-stages-of-world-war-i", "duration": 626, "translated_title": "Closing stages of World War I", "translated_description_html": "", "id": "xd73dff5e", "description_html": "", "title": "Closing stages of World War I", "progress_key": "vxd73dff5e", "edit_slug": "edit/v/xd73dff5e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/closing-stages-of-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-27T00:34:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xFBK9534NI8.mp4/xFBK9534NI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xFBK9534NI8.mp4/xFBK9534NI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xFBK9534NI8.m3u8/xFBK9534NI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xFBK9534NI8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd73dff5e", "sha": "851acbf2a90f40a7e07018a087d00cfdb2d32d47", "translated_description": "", "image_url": "https://img.youtube.com/vi/xFBK9534NI8/hqdefault.jpg", "youtube_id": "xFBK9534NI8", "content_kind": "Video", "readable_id": "closing-stages-of-world-war-i"}, {"translated_youtube_id": "4bmPvB15aYU", "relative_url": "/video/technology-in-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/technology-in-world-war-i", "duration": 485, "translated_title": "Technology in World War I", "translated_description_html": "", "id": "x619d8678", "description_html": "", "title": "Technology in World War I", "progress_key": "vx619d8678", "edit_slug": "edit/v/x619d8678", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/technology-in-world-war-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-04-06T00:11:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4bmPvB15aYU.mp4/4bmPvB15aYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4bmPvB15aYU.mp4/4bmPvB15aYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4bmPvB15aYU.m3u8/4bmPvB15aYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4bmPvB15aYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx619d8678", "sha": "ad439d6323e02921792d7c40a0516e3555db8f31", "translated_description": "", "image_url": "https://img.youtube.com/vi/4bmPvB15aYU/hqdefault.jpg", "youtube_id": "4bmPvB15aYU", "content_kind": "Video", "readable_id": "technology-in-world-war-i"}], "twitter_url": "", "translated_description": "This tutorial goes into some detail to describe the tactics and battles of the two major fronts of World War I--the Western Front and the Eastern Front.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial goes into some detail to describe the tactics and battles of the two major fronts of World War I--the Western Front and the Eastern Front.", "x_pos": 0.0, "node_slug": "world-war-I-fighting", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axada17092", "topic_page_url": "/humanities/history/euro-hist/world-war-I-fighting", "extended_slug": "humanities/history/euro-hist/world-war-I-fighting", "slug": "world-war-I-fighting", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "02114b8856f97a86c10ab12017a2e48ce87008d8", "standalone_title": "Western and Eastern fronts of World War I", "y_pos": 0.0, "current_revision_key": "02114b8856f97a86c10ab12017a2e48ce87008d8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/other-fronts-ww1", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/other-fronts-ww1", "translated_standalone_title": "Serbian and Italian fronts in World War I", "translated_title": "Other fronts of World War I", "gplus_url": "", "id": "xf9b473a5", "old_key_name": "hkfKwjV2D_o4IRl7hzRthCwwVwZ5XV3QWmKMp9sC", "hide": false, "title": "Other fronts of World War I", "child_data": [{"kind": "Video", "id": "x735db001"}, {"kind": "Video", "id": "xaa55a9cc"}, {"kind": "Video", "id": "x46fae636"}, {"kind": "Video", "id": "x710def83"}, {"kind": "Video", "id": "xbe15f842"}, {"kind": "Exercise", "id": "x0796b7bc"}], "children": [{"translated_youtube_id": "WX4T9NjYG94", "relative_url": "/video/serbian-and-macedonian-fronts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/serbian-and-macedonian-fronts", "duration": 543, "translated_title": "Serbian and Macedonian fronts", "translated_description_html": "", "id": "x735db001", "description_html": "", "title": "Serbian and Macedonian fronts", "progress_key": "vx735db001", "edit_slug": "edit/v/x735db001", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/serbian-and-macedonian-fronts", "deleted": false, "backup_timestamp": "2013-09-24T00:32:46Z", "date_added": "2013-04-06T00:10:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WX4T9NjYG94.mp4/WX4T9NjYG94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WX4T9NjYG94.mp4/WX4T9NjYG94.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WX4T9NjYG94.m3u8/WX4T9NjYG94.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WX4T9NjYG94&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx735db001", "sha": "d82968aa03f7dce3c2f1d952e95a1f94109d3b29", "translated_description": "", "image_url": "https://img.youtube.com/vi/WX4T9NjYG94/hqdefault.jpg", "youtube_id": "WX4T9NjYG94", "content_kind": "Video", "readable_id": "serbian-and-macedonian-fronts"}, {"translated_youtube_id": "dpnFYrz2fCE", "relative_url": "/video/serbian-losses-in-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/serbian-losses-in-world-war-i", "duration": 118, "translated_title": "Serbian losses in World War I", "translated_description_html": "", "id": "xaa55a9cc", "description_html": "", "title": "Serbian losses in World War I", "progress_key": "vxaa55a9cc", "edit_slug": "edit/v/xaa55a9cc", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/serbian-losses-in-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-06T00:10:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dpnFYrz2fCE.mp4/dpnFYrz2fCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dpnFYrz2fCE.mp4/dpnFYrz2fCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dpnFYrz2fCE.m3u8/dpnFYrz2fCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dpnFYrz2fCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaa55a9cc", "sha": "95be409bf4bbb0091f4e4690c5b7c197f4da490c", "translated_description": "", "image_url": "https://img.youtube.com/vi/dpnFYrz2fCE/hqdefault.jpg", "youtube_id": "dpnFYrz2fCE", "content_kind": "Video", "readable_id": "serbian-losses-in-world-war-i"}, {"translated_youtube_id": "ay1QGPg2R98", "relative_url": "/video/italy-backs-out-of-triple-alliance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/italy-backs-out-of-triple-alliance", "duration": 238, "translated_title": "Italy backs out of Triple Alliance", "translated_description_html": "", "id": "x46fae636", "description_html": "", "title": "Italy backs out of Triple Alliance", "progress_key": "vx46fae636", "edit_slug": "edit/v/x46fae636", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/italy-backs-out-of-triple-alliance", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-01T23:55:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ay1QGPg2R98.mp4/ay1QGPg2R98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ay1QGPg2R98.mp4/ay1QGPg2R98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ay1QGPg2R98.m3u8/ay1QGPg2R98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ay1QGPg2R98&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx46fae636", "sha": "dd97f692c31b8fa4184737849bc7103256edff33", "translated_description": "", "image_url": "https://img.youtube.com/vi/ay1QGPg2R98/hqdefault.jpg", "youtube_id": "ay1QGPg2R98", "content_kind": "Video", "readable_id": "italy-backs-out-of-triple-alliance"}, {"translated_youtube_id": "mQyM-4YqHMM", "relative_url": "/video/italian-front-in-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/italian-front-in-world-war-i", "duration": 549, "translated_title": "Italian front in World War I", "translated_description_html": "", "id": "x710def83", "description_html": "", "title": "Italian front in World War I", "progress_key": "vx710def83", "edit_slug": "edit/v/x710def83", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/italian-front-in-world-war-i", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-04-01T23:56:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mQyM-4YqHMM.mp4/mQyM-4YqHMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mQyM-4YqHMM.mp4/mQyM-4YqHMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mQyM-4YqHMM.m3u8/mQyM-4YqHMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mQyM-4YqHMM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx710def83", "sha": "d67f5fb3286caf7c699f7097f5bc6e1cf5f3ca76", "translated_description": "", "image_url": "https://img.youtube.com/vi/mQyM-4YqHMM/hqdefault.jpg", "youtube_id": "mQyM-4YqHMM", "content_kind": "Video", "readable_id": "italian-front-in-world-war-i"}, {"translated_youtube_id": "NTUjMpfYWwE", "relative_url": "/video/japan-in-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/japan-in-world-war-i", "duration": 234, "translated_title": "Japan in World War I", "translated_description_html": "", "id": "xbe15f842", "description_html": "", "title": "Japan in World War I", "progress_key": "vxbe15f842", "edit_slug": "edit/v/xbe15f842", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/japan-in-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-22T17:07:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NTUjMpfYWwE.mp4/NTUjMpfYWwE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NTUjMpfYWwE.mp4/NTUjMpfYWwE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NTUjMpfYWwE.m3u8/NTUjMpfYWwE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NTUjMpfYWwE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbe15f842", "sha": "5d24f8935f3f150c0e018de4b44b607e67d962a7", "translated_description": "", "image_url": "https://img.youtube.com/vi/NTUjMpfYWwE/hqdefault.jpg", "youtube_id": "NTUjMpfYWwE", "content_kind": "Video", "readable_id": "japan-in-world-war-i"}], "twitter_url": "", "translated_description": "Contrary to what some history books and movies would have you believe, World War I was not just fought on the Western and/or Eastern fronts. Because of the empires involved, it was a truly global conflict. This tutorial will cover some of the campaigns that your history book might not (but are important to understanding the War).", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Contrary to what some history books and movies would have you believe, World War I was not just fought on the Western and/or Eastern fronts. Because of the empires involved, it was a truly global conflict. This tutorial will cover some of the campaigns that your history book might not (but are important to understanding the War).", "x_pos": 0.0, "node_slug": "other-fronts-ww1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf9b473a5", "topic_page_url": "/humanities/history/euro-hist/other-fronts-ww1", "extended_slug": "humanities/history/euro-hist/other-fronts-ww1", "slug": "other-fronts-ww1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "977a323aa26bece702ca8c1ea9cf257442d564ea", "standalone_title": "Serbian and Italian fronts in World War I", "y_pos": 0.0, "current_revision_key": "977a323aa26bece702ca8c1ea9cf257442d564ea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/middle-east-20th-century", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/middle-east-20th-century", "translated_standalone_title": "Arabia and Israel in the 20th Century", "translated_title": "World War I shapes the Middle East", "gplus_url": "", "id": "x297c9471", "old_key_name": "-7MfIHUInriXJwwTNVp5Er7nfo5jGeqVkPJ5YPsJ", "hide": false, "title": "World War I shapes the Middle East", "child_data": [{"kind": "Video", "id": "x51b2ecd5"}, {"kind": "Video", "id": "x30d4f0ae"}, {"kind": "Video", "id": "x291864f5"}, {"kind": "Video", "id": "x09cfed08"}, {"kind": "Exercise", "id": "x5b239a9d"}], "children": [{"translated_youtube_id": "g8sxNa-E-H0", "relative_url": "/video/theodor-herzl-and-the-birth-of-political-zionism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/theodor-herzl-and-the-birth-of-political-zionism", "duration": 670, "translated_title": "Theodor Herzl and the birth of political Zionism", "translated_description_html": "", "id": "x51b2ecd5", "description_html": "", "title": "Theodor Herzl and the birth of political Zionism", "progress_key": "vx51b2ecd5", "edit_slug": "edit/v/x51b2ecd5", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/theodor-herzl-and-the-birth-of-political-zionism", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-04-05T23:27:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g8sxNa-E-H0.mp4/g8sxNa-E-H0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g8sxNa-E-H0.mp4/g8sxNa-E-H0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g8sxNa-E-H0.m3u8/g8sxNa-E-H0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g8sxNa-E-H0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx51b2ecd5", "sha": "6c69101374a004b7c43da7da3a56610f52fe7705", "translated_description": "", "image_url": "https://img.youtube.com/vi/g8sxNa-E-H0/hqdefault.jpg", "youtube_id": "g8sxNa-E-H0", "content_kind": "Video", "readable_id": "theodor-herzl-and-the-birth-of-political-zionism"}, {"translated_youtube_id": "L3Ka3oRD8G8", "relative_url": "/video/sinai--palestine-and-mesopotamia-campaigns", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sinai--palestine-and-mesopotamia-campaigns", "duration": 593, "translated_title": "Sinai, Palestine and Mesopotamia campaigns", "translated_description_html": "", "id": "x30d4f0ae", "description_html": "", "title": "Sinai, Palestine and Mesopotamia campaigns", "progress_key": "vx30d4f0ae", "edit_slug": "edit/v/x30d4f0ae", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/sinai--palestine-and-mesopotamia-campaigns", "deleted": false, "backup_timestamp": "2013-10-02T00:41:20Z", "date_added": "2013-04-01T23:57:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L3Ka3oRD8G8.mp4/L3Ka3oRD8G8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L3Ka3oRD8G8.mp4/L3Ka3oRD8G8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L3Ka3oRD8G8.m3u8/L3Ka3oRD8G8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L3Ka3oRD8G8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx30d4f0ae", "sha": "fadae5beb3496a3c1a85432d2384e99982acae0d", "translated_description": "", "image_url": "https://img.youtube.com/vi/L3Ka3oRD8G8/hqdefault.jpg", "youtube_id": "L3Ka3oRD8G8", "content_kind": "Video", "readable_id": "sinai--palestine-and-mesopotamia-campaigns"}, {"translated_youtube_id": "eIfQ4GfSz3U", "relative_url": "/video/sykes-picot-agreement-and-the-balfour-declaration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sykes-picot-agreement-and-the-balfour-declaration", "duration": 772, "translated_title": "Sykes-Picot Agreement and the Balfour Declaration", "translated_description_html": "", "id": "x291864f5", "description_html": "", "title": "Sykes-Picot Agreement and the Balfour Declaration", "progress_key": "vx291864f5", "edit_slug": "edit/v/x291864f5", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sykes-picot-agreement-and-the-balfour-declaration", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-05T23:28:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eIfQ4GfSz3U.mp4/eIfQ4GfSz3U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eIfQ4GfSz3U.mp4/eIfQ4GfSz3U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eIfQ4GfSz3U.m3u8/eIfQ4GfSz3U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eIfQ4GfSz3U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx291864f5", "sha": "fc5d116db6e2d98f45cdfb3bd9a4e71d78811c99", "translated_description": "", "image_url": "https://img.youtube.com/vi/eIfQ4GfSz3U/hqdefault.jpg", "youtube_id": "eIfQ4GfSz3U", "content_kind": "Video", "readable_id": "sykes-picot-agreement-and-the-balfour-declaration"}, {"translated_youtube_id": "zbQFQ_nzbhI", "relative_url": "/video/arabia-after-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arabia-after-world-war-i", "duration": 578, "translated_title": "Arabia after World War I", "translated_description_html": "", "id": "x09cfed08", "description_html": "", "title": "Arabia after World War I", "progress_key": "vx09cfed08", "edit_slug": "edit/v/x09cfed08", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/arabia-after-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-05T23:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.mp4/zbQFQ_nzbhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.mp4/zbQFQ_nzbhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.m3u8/zbQFQ_nzbhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zbQFQ_nzbhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09cfed08", "sha": "90dd69b6d306ffa88b1683a0466db5651a3e436b", "translated_description": "", "image_url": "https://img.youtube.com/vi/zbQFQ_nzbhI/hqdefault.jpg", "youtube_id": "zbQFQ_nzbhI", "content_kind": "Video", "readable_id": "arabia-after-world-war-i"}], "twitter_url": "", "translated_description": "The Middle East is a center of cultures, religions, and, unfortunately, conflict in our modern world. This tutorial takes us from a declining Ottoman Empire to the modern Middle East which is still the center of many religions, cultures and conflicts.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Middle East is a center of cultures, religions, and, unfortunately, conflict in our modern world. This tutorial takes us from a declining Ottoman Empire to the modern Middle East which is still the center of many religions, cultures and conflicts.", "x_pos": 0.0, "node_slug": "middle-east-20th-century", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax297c9471", "topic_page_url": "/humanities/history/euro-hist/middle-east-20th-century", "extended_slug": "humanities/history/euro-hist/middle-east-20th-century", "slug": "middle-east-20th-century", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c2465e06257b4baeca312979c4b6f0660543d0da", "standalone_title": "Arabia and Israel in the 20th Century", "y_pos": 0.0, "current_revision_key": "c2465e06257b4baeca312979c4b6f0660543d0da", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/ww1-aftermath", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/ww1-aftermath", "translated_standalone_title": "Aftermath of World War I", "translated_title": "Aftermath of World War I", "gplus_url": "", "id": "xe4f72825", "old_key_name": "mzOD9CgUlRuW1UOfS5kG9JhAQ0AU-OgiCWooj3fn", "hide": false, "title": "Aftermath of World War I", "child_data": [{"kind": "Video", "id": "xc7179262"}, {"kind": "Video", "id": "xf067c7c4"}, {"kind": "Video", "id": "xf813f0ff"}, {"kind": "Video", "id": "x902f1193"}, {"kind": "Video", "id": "x09cfed08"}, {"kind": "Exercise", "id": "xd80aa170"}], "children": [{"translated_youtube_id": "kOf8fU9iduA", "relative_url": "/video/deaths-in-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/deaths-in-world-war-i", "duration": 347, "translated_title": "Deaths in World War I", "translated_description_html": "", "id": "xc7179262", "description_html": "", "title": "Deaths in World War I", "progress_key": "vxc7179262", "edit_slug": "edit/v/xc7179262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/deaths-in-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-01T23:57:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kOf8fU9iduA.mp4/kOf8fU9iduA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kOf8fU9iduA.mp4/kOf8fU9iduA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kOf8fU9iduA.m3u8/kOf8fU9iduA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kOf8fU9iduA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc7179262", "sha": "f2a553514dbb4f7a03c3d000ffca636053ebeb9f", "translated_description": "", "image_url": "https://img.youtube.com/vi/kOf8fU9iduA/hqdefault.jpg", "youtube_id": "kOf8fU9iduA", "content_kind": "Video", "readable_id": "deaths-in-world-war-i"}, {"translated_youtube_id": "XMElagkUBmY", "relative_url": "/video/woodrow-wilson-s-fourteen-points", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/woodrow-wilson-s-fourteen-points", "duration": 996, "translated_title": "Woodrow Wilson's Fourteen Points", "translated_description_html": "", "id": "xf067c7c4", "description_html": "", "title": "Woodrow Wilson's Fourteen Points", "progress_key": "vxf067c7c4", "edit_slug": "edit/v/xf067c7c4", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/woodrow-wilson-s-fourteen-points", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-04-06T00:11:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMElagkUBmY.mp4/XMElagkUBmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMElagkUBmY.mp4/XMElagkUBmY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XMElagkUBmY.m3u8/XMElagkUBmY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XMElagkUBmY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf067c7c4", "sha": "96a3e292ab74fd822d897d8f79b22183b64aa39c", "translated_description": "", "image_url": "https://img.youtube.com/vi/XMElagkUBmY/hqdefault.jpg", "youtube_id": "XMElagkUBmY", "content_kind": "Video", "readable_id": "woodrow-wilson-s-fourteen-points"}, {"translated_youtube_id": "o1IFePaNENQ", "relative_url": "/video/paris-peace-conference-and-treaty-of-versailles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paris-peace-conference-and-treaty-of-versailles", "duration": 610, "translated_title": "Paris Peace Conference and Treaty of Versailles", "translated_description_html": "", "id": "xf813f0ff", "description_html": "", "title": "Paris Peace Conference and Treaty of Versailles", "progress_key": "vxf813f0ff", "edit_slug": "edit/v/xf813f0ff", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/paris-peace-conference-and-treaty-of-versailles", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-06T00:12:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o1IFePaNENQ.mp4/o1IFePaNENQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o1IFePaNENQ.mp4/o1IFePaNENQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o1IFePaNENQ.m3u8/o1IFePaNENQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o1IFePaNENQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf813f0ff", "sha": "3514de55926c550c30ee625d6c767ada1acfc81c", "translated_description": "", "image_url": "https://img.youtube.com/vi/o1IFePaNENQ/hqdefault.jpg", "youtube_id": "o1IFePaNENQ", "content_kind": "Video", "readable_id": "paris-peace-conference-and-treaty-of-versailles"}, {"translated_youtube_id": "TmFET3F64pE", "relative_url": "/video/more-detail-on-the-treaty-of-versailles-and-germany", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-detail-on-the-treaty-of-versailles-and-germany", "duration": 380, "translated_title": "More detail on the Treaty of Versailles and Germany", "translated_description_html": "", "id": "x902f1193", "description_html": "", "title": "More detail on the Treaty of Versailles and Germany", "progress_key": "vx902f1193", "edit_slug": "edit/v/x902f1193", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/more-detail-on-the-treaty-of-versailles-and-germany", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-04-30T00:33:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TmFET3F64pE.mp4/TmFET3F64pE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TmFET3F64pE.mp4/TmFET3F64pE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TmFET3F64pE.m3u8/TmFET3F64pE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TmFET3F64pE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx902f1193", "sha": "3b1a22985c2b56c024f6a2f04035a4d2ecaeff38", "translated_description": "", "image_url": "https://img.youtube.com/vi/TmFET3F64pE/hqdefault.jpg", "youtube_id": "TmFET3F64pE", "content_kind": "Video", "readable_id": "more-detail-on-the-treaty-of-versailles-and-germany"}, {"translated_youtube_id": "zbQFQ_nzbhI", "relative_url": "/video/arabia-after-world-war-i", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/arabia-after-world-war-i", "duration": 578, "translated_title": "Arabia after World War I", "translated_description_html": "", "id": "x09cfed08", "description_html": "", "title": "Arabia after World War I", "progress_key": "vx09cfed08", "edit_slug": "edit/v/x09cfed08", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/arabia-after-world-war-i", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-05T23:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.mp4/zbQFQ_nzbhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.mp4/zbQFQ_nzbhI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zbQFQ_nzbhI.m3u8/zbQFQ_nzbhI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zbQFQ_nzbhI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx09cfed08", "sha": "90dd69b6d306ffa88b1683a0466db5651a3e436b", "translated_description": "", "image_url": "https://img.youtube.com/vi/zbQFQ_nzbhI/hqdefault.jpg", "youtube_id": "zbQFQ_nzbhI", "content_kind": "Video", "readable_id": "arabia-after-world-war-i"}], "twitter_url": "", "translated_description": "World war I (or the Great War) was a defining event for the 20th Century. It marked the end (or beginning of the end) of centuries-old empires and the dawn-of newly independent states based on ethnic and linguistic commonality. It didn't just change the face of Europe, it changed the face of the world.\n\nFrom the Paris Peace Conference and Treaty of Versailles, we'll see how the end of World War I may have been just the set up for even more conflict in Europe and the world.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "World war I (or the Great War) was a defining event for the 20th Century. It marked the end (or beginning of the end) of centuries-old empires and the dawn-of newly independent states based on ethnic and linguistic commonality. It didn't just change the face of Europe, it changed the face of the world.\n\nFrom the Paris Peace Conference and Treaty of Versailles, we'll see how the end of World War I may have been just the set up for even more conflict in Europe and the world.", "x_pos": 0.0, "node_slug": "ww1-aftermath", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe4f72825", "topic_page_url": "/humanities/history/euro-hist/ww1-aftermath", "extended_slug": "humanities/history/euro-hist/ww1-aftermath", "slug": "ww1-aftermath", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "9bfa3029da6911b335eec3f9cc9aa229926905dc", "standalone_title": "Aftermath of World War I", "y_pos": 0.0, "current_revision_key": "9bfa3029da6911b335eec3f9cc9aa229926905dc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/world-war-i-quiz", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/world-war-i-quiz", "translated_standalone_title": "World War I Quiz", "translated_title": "World War I Quiz", "gplus_url": "", "id": "xb2537127", "old_key_name": "filKSGyT46GYjBC3-J-R7OG061mlKaMCKVMFPgHZ", "hide": false, "title": "World War I Quiz", "child_data": [{"kind": "Exercise", "id": "xf1c4e05a"}], "children": [], "twitter_url": "", "translated_description": "Test your comprehension of the causes, dynamics and aftermath of World War I (as covered in the tutorials in this topic) by taking this quiz.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Test your comprehension of the causes, dynamics and aftermath of World War I (as covered in the tutorials in this topic) by taking this quiz.", "x_pos": 0.0, "node_slug": "world-war-i-quiz", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb2537127", "topic_page_url": "/humanities/history/euro-hist/world-war-i-quiz", "extended_slug": "humanities/history/euro-hist/world-war-i-quiz", "slug": "world-war-i-quiz", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c2a695790adbdd88db27be28cccef537ff6f23dd", "standalone_title": "World War I Quiz", "y_pos": 0.0, "current_revision_key": "c2a695790adbdd88db27be28cccef537ff6f23dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/hitler-nazis", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/hitler-nazis", "translated_standalone_title": "Rise of Hitler and the Nazis", "translated_title": "Rise of Hitler and the Nazis", "gplus_url": "", "id": "x3f361c7b", "old_key_name": null, "hide": false, "title": "Rise of Hitler and the Nazis", "child_data": [{"kind": "Video", "id": "xee428366"}, {"kind": "Video", "id": "x30ffec6e"}, {"kind": "Video", "id": "xb7ca1478"}, {"kind": "Video", "id": "xf5ec1089"}, {"kind": "Video", "id": "xc65a725e"}, {"kind": "Exercise", "id": "xefc1e7aa"}], "children": [{"translated_youtube_id": "QCkn5bu8GgM", "relative_url": "/video/initial-rise-of-hitler-and-the-nazis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/initial-rise-of-hitler-and-the-nazis", "duration": 667, "translated_title": "Initial rise of Hitler and the Nazis", "translated_description_html": "", "id": "xee428366", "description_html": "", "title": "Initial rise of Hitler and the Nazis", "progress_key": "vxee428366", "edit_slug": "edit/v/xee428366", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/initial-rise-of-hitler-and-the-nazis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-30T21:14:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QCkn5bu8GgM.mp4/QCkn5bu8GgM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QCkn5bu8GgM.mp4/QCkn5bu8GgM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QCkn5bu8GgM.m3u8/QCkn5bu8GgM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QCkn5bu8GgM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxee428366", "sha": "18b02f5dc99d99d889bab3c1a29b9afd5748db0e", "translated_description": "", "image_url": "https://img.youtube.com/vi/QCkn5bu8GgM/hqdefault.jpg", "youtube_id": "QCkn5bu8GgM", "content_kind": "Video", "readable_id": "initial-rise-of-hitler-and-the-nazis"}, {"translated_youtube_id": "5qWI2pEv0wg", "relative_url": "/video/hitler-s-beer-hall-putsch", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hitler-s-beer-hall-putsch", "duration": 384, "translated_title": "Hitler's Beer Hall Putsch", "translated_description_html": "", "id": "x30ffec6e", "description_html": "", "title": "Hitler's Beer Hall Putsch", "progress_key": "vx30ffec6e", "edit_slug": "edit/v/x30ffec6e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/hitler-s-beer-hall-putsch", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-30T21:14:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5qWI2pEv0wg.mp4/5qWI2pEv0wg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5qWI2pEv0wg.mp4/5qWI2pEv0wg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5qWI2pEv0wg.m3u8/5qWI2pEv0wg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5qWI2pEv0wg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx30ffec6e", "sha": "08463e60b1f831e7dfc3f3402087965895145ce3", "translated_description": "", "image_url": "https://img.youtube.com/vi/5qWI2pEv0wg/hqdefault.jpg", "youtube_id": "5qWI2pEv0wg", "content_kind": "Video", "readable_id": "hitler-s-beer-hall-putsch"}, {"translated_youtube_id": "EtZnPoYbRyA", "relative_url": "/video/hitler-and-the-nazis-come-to-power", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hitler-and-the-nazis-come-to-power", "duration": 716, "translated_title": "Hitler and the Nazis come to power", "translated_description_html": "", "id": "xb7ca1478", "description_html": "", "title": "Hitler and the Nazis come to power", "progress_key": "vxb7ca1478", "edit_slug": "edit/v/xb7ca1478", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/hitler-and-the-nazis-come-to-power", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-30T21:14:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EtZnPoYbRyA.mp4/EtZnPoYbRyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EtZnPoYbRyA.mp4/EtZnPoYbRyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EtZnPoYbRyA.m3u8/EtZnPoYbRyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EtZnPoYbRyA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb7ca1478", "sha": "6a198862d785bbdb766206cf3b2988e035bf5be7", "translated_description": "", "image_url": "https://img.youtube.com/vi/EtZnPoYbRyA/hqdefault.jpg", "youtube_id": "EtZnPoYbRyA", "content_kind": "Video", "readable_id": "hitler-and-the-nazis-come-to-power"}, {"translated_youtube_id": "ZrbbKMnPDUk", "relative_url": "/video/night-of-the-long-knives", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/night-of-the-long-knives", "duration": 226, "translated_title": "Night of the Long Knives", "translated_description_html": "", "id": "xf5ec1089", "description_html": "", "title": "Night of the Long Knives", "progress_key": "vxf5ec1089", "edit_slug": "edit/v/xf5ec1089", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/night-of-the-long-knives", "deleted": false, "backup_timestamp": "2013-09-20T10:49:46Z", "date_added": "2013-05-30T03:03:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZrbbKMnPDUk.mp4/ZrbbKMnPDUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZrbbKMnPDUk.mp4/ZrbbKMnPDUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZrbbKMnPDUk.m3u8/ZrbbKMnPDUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZrbbKMnPDUk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf5ec1089", "sha": "a6d7b0de6cdfc2b579659ff3fa681f51eeb30e7a", "translated_description": "", "image_url": "https://img.youtube.com/vi/ZrbbKMnPDUk/hqdefault.jpg", "youtube_id": "ZrbbKMnPDUk", "content_kind": "Video", "readable_id": "night-of-the-long-knives"}, {"translated_youtube_id": "VTdV9JaHiIA", "relative_url": "/video/nazi-aggression-and-appeasement", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nazi-aggression-and-appeasement", "duration": 420, "translated_title": "Nazi aggression and appeasement", "translated_description_html": "", "id": "xc65a725e", "description_html": "", "title": "Nazi aggression and appeasement", "progress_key": "vxc65a725e", "edit_slug": "edit/v/xc65a725e", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/nazi-aggression-and-appeasement", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-05-30T03:03:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VTdV9JaHiIA.mp4/VTdV9JaHiIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VTdV9JaHiIA.mp4/VTdV9JaHiIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VTdV9JaHiIA.m3u8/VTdV9JaHiIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VTdV9JaHiIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc65a725e", "sha": "ae3ef6e7e10f1ba2f8e4020063d9bac7086f68a0", "translated_description": "", "image_url": "https://img.youtube.com/vi/VTdV9JaHiIA/hqdefault.jpg", "youtube_id": "VTdV9JaHiIA", "content_kind": "Video", "readable_id": "nazi-aggression-and-appeasement"}], "twitter_url": "", "translated_description": "How did the National Socialists (Nazis) go from being a tiny, marginal party in the early 1920s to having full control of Germany and catalyzing World War II? Who was Hitler and what was his philosophy and how did he come to power?", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "How did the National Socialists (Nazis) go from being a tiny, marginal party in the early 1920s to having full control of Germany and catalyzing World War II? Who was Hitler and what was his philosophy and how did he come to power?", "x_pos": 0.0, "node_slug": "hitler-nazis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3f361c7b", "topic_page_url": "/humanities/history/euro-hist/hitler-nazis", "extended_slug": "humanities/history/euro-hist/hitler-nazis", "slug": "hitler-nazis", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "aefad21bb98d5fc2dab0996364af8bf0f582c524", "standalone_title": "Rise of Hitler and the Nazis", "y_pos": 0.0, "current_revision_key": "aefad21bb98d5fc2dab0996364af8bf0f582c524", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/mussolini-fascism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/mussolini-fascism", "translated_standalone_title": "Rise of Mussolini and Fascism", "translated_title": "Rise of Mussolini and Fascism", "gplus_url": "", "id": "xbf3fa3d6", "old_key_name": null, "hide": false, "title": "Rise of Mussolini and Fascism", "child_data": [{"kind": "Video", "id": "xb1f745df"}, {"kind": "Video", "id": "x31d57c06"}, {"kind": "Video", "id": "xbb705332"}, {"kind": "Video", "id": "xe30684fe"}, {"kind": "Exercise", "id": "xe6cf0358"}], "children": [{"translated_youtube_id": "AoRpWU6hHJ8", "relative_url": "/video/fascism-and-mussolini", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fascism-and-mussolini", "duration": 515, "translated_title": "Fascism and Mussolini", "translated_description_html": "", "id": "xb1f745df", "description_html": "", "title": "Fascism and Mussolini", "progress_key": "vxb1f745df", "edit_slug": "edit/v/xb1f745df", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/fascism-and-mussolini", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-30T03:03:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AoRpWU6hHJ8.mp4/AoRpWU6hHJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AoRpWU6hHJ8.mp4/AoRpWU6hHJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AoRpWU6hHJ8.m3u8/AoRpWU6hHJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AoRpWU6hHJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb1f745df", "sha": "e01995fa4791da31954c48a78b9cfa1fe94db2de", "translated_description": "", "image_url": "https://img.youtube.com/vi/AoRpWU6hHJ8/hqdefault.jpg", "youtube_id": "AoRpWU6hHJ8", "content_kind": "Video", "readable_id": "fascism-and-mussolini"}, {"translated_youtube_id": "wxtltXz4zs0", "relative_url": "/video/mussolini-becomes-prime-minister", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mussolini-becomes-prime-minister", "duration": 567, "translated_title": "Mussolini becomes Prime Minister", "translated_description_html": "", "id": "x31d57c06", "description_html": "", "title": "Mussolini becomes Prime Minister", "progress_key": "vx31d57c06", "edit_slug": "edit/v/x31d57c06", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/mussolini-becomes-prime-minister", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-30T03:03:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wxtltXz4zs0.mp4/wxtltXz4zs0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wxtltXz4zs0.mp4/wxtltXz4zs0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wxtltXz4zs0.m3u8/wxtltXz4zs0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wxtltXz4zs0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx31d57c06", "sha": "6632c030cd99041a71280cdeaadc52028209f90e", "translated_description": "", "image_url": "https://img.youtube.com/vi/wxtltXz4zs0/hqdefault.jpg", "youtube_id": "wxtltXz4zs0", "content_kind": "Video", "readable_id": "mussolini-becomes-prime-minister"}, {"translated_youtube_id": "pT6tFia8eaY", "relative_url": "/video/mussolini-becomes-absolute-dictator-il-duce", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mussolini-becomes-absolute-dictator-il-duce", "duration": 506, "translated_title": "Mussolini becomes absolute dictator (Il Duce)", "translated_description_html": "", "id": "xbb705332", "description_html": "", "title": "Mussolini becomes absolute dictator (Il Duce)", "progress_key": "vxbb705332", "edit_slug": "edit/v/xbb705332", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/mussolini-becomes-absolute-dictator-il-duce", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-30T03:03:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pT6tFia8eaY.mp4/pT6tFia8eaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pT6tFia8eaY.mp4/pT6tFia8eaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pT6tFia8eaY.m3u8/pT6tFia8eaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pT6tFia8eaY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbb705332", "sha": "bd44e3a067949a4634b85d44b5379d63f7613c33", "translated_description": "", "image_url": "https://img.youtube.com/vi/pT6tFia8eaY/hqdefault.jpg", "youtube_id": "pT6tFia8eaY", "content_kind": "Video", "readable_id": "mussolini-becomes-absolute-dictator-il-duce"}, {"translated_youtube_id": "6uNYe9UB3K4", "relative_url": "/video/mussolini-aligns-with-hitler", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mussolini-aligns-with-hitler", "duration": 463, "translated_title": "Mussolini aligns with Hitler", "translated_description_html": "", "id": "xe30684fe", "description_html": "", "title": "Mussolini aligns with Hitler", "progress_key": "vxe30684fe", "edit_slug": "edit/v/xe30684fe", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/mussolini-aligns-with-hitler", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-30T03:03:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6uNYe9UB3K4.mp4/6uNYe9UB3K4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6uNYe9UB3K4.mp4/6uNYe9UB3K4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6uNYe9UB3K4.m3u8/6uNYe9UB3K4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6uNYe9UB3K4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe30684fe", "sha": "90feb744c90b6c18ee116efab800ef4f645d5ebb", "translated_description": "", "image_url": "https://img.youtube.com/vi/6uNYe9UB3K4/hqdefault.jpg", "youtube_id": "6uNYe9UB3K4", "content_kind": "Video", "readable_id": "mussolini-aligns-with-hitler"}], "twitter_url": "", "translated_description": "The word \"Fascist\" is now a pejorative term (\"pejorative\" means \"negative\" or \"derogatory\") to describe leaders or states that have absolute control and are aggressively nationalistic.\n\nThe terms \"fascism\" and \"fascist\", however, were first embraced by Benito Mussolini in Italy in the 1920s and 1930s to describe their party and policies (that were absolutist and aggressively nationalistic). \n\nThis tutorial described Mussolini and the Fascists' rapid rise to power and the influence it had on the rest of the world (including providing a model for Hitler in Germany).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The word \"Fascist\" is now a pejorative term (\"pejorative\" means \"negative\" or \"derogatory\") to describe leaders or states that have absolute control and are aggressively nationalistic.\n\nThe terms \"fascism\" and \"fascist\", however, were first embraced by Benito Mussolini in Italy in the 1920s and 1930s to describe their party and policies (that were absolutist and aggressively nationalistic). \n\nThis tutorial described Mussolini and the Fascists' rapid rise to power and the influence it had on the rest of the world (including providing a model for Hitler in Germany).", "x_pos": 0.0, "node_slug": "mussolini-fascism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbf3fa3d6", "topic_page_url": "/humanities/history/euro-hist/mussolini-fascism", "extended_slug": "humanities/history/euro-hist/mussolini-fascism", "slug": "mussolini-fascism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8468d9b37b66cf2acf864b20b97f2db98d782c5c", "standalone_title": "Rise of Mussolini and Fascism", "y_pos": 0.0, "current_revision_key": "8468d9b37b66cf2acf864b20b97f2db98d782c5c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/China-early-1900s", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/China-early-1900s", "translated_standalone_title": "Overview of Chinese history 1911-1949", "translated_title": "Overview of Chinese history 1911-1949", "gplus_url": "", "id": "x2a14c9d6", "old_key_name": null, "hide": false, "title": "Overview of Chinese history 1911-1949", "child_data": [{"kind": "Video", "id": "xb94720e7"}], "children": [{"translated_youtube_id": "a9QtIfPIQl4", "relative_url": "/video/overview-of-chinese-history-1911---1949", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/overview-of-chinese-history-1911---1949", "duration": 670, "translated_title": "Overview of Chinese history 1911 - 1949", "translated_description_html": "", "id": "xb94720e7", "description_html": "", "title": "Overview of Chinese history 1911 - 1949", "progress_key": "vxb94720e7", "edit_slug": "edit/v/xb94720e7", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/overview-of-chinese-history-1911---1949", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-09-10T17:06:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a9QtIfPIQl4.mp4/a9QtIfPIQl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a9QtIfPIQl4.mp4/a9QtIfPIQl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a9QtIfPIQl4.m3u8/a9QtIfPIQl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a9QtIfPIQl4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb94720e7", "sha": "93b965f531c7c23a4fe0d5c708654f5ef71694ce", "translated_description": "", "image_url": "https://img.youtube.com/vi/a9QtIfPIQl4/hqdefault.jpg", "youtube_id": "a9QtIfPIQl4", "content_kind": "Video", "readable_id": "overview-of-chinese-history-1911---1949"}], "twitter_url": "", "translated_description": "The early 1900s marked the end of thousands of years of dynastic imperial rule in China. It also marked the beginning of a complex period of fragmentation, civil war and fending off Japanese imperial ambitions. This tutorial covers everything from the establishment of the Republic of China by Sun Yat-sen to the Warlord Era to the Chinese Civil War between the Chiang Kai-Shek led Kuomintang and the Communists led by Mao Zedong.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "The early 1900s marked the end of thousands of years of dynastic imperial rule in China. It also marked the beginning of a complex period of fragmentation, civil war and fending off Japanese imperial ambitions. This tutorial covers everything from the establishment of the Republic of China by Sun Yat-sen to the Warlord Era to the Chinese Civil War between the Chiang Kai-Shek led Kuomintang and the Communists led by Mao Zedong.", "x_pos": 0.0, "node_slug": "China-early-1900s", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2a14c9d6", "topic_page_url": "/humanities/history/euro-hist/China-early-1900s", "extended_slug": "humanities/history/euro-hist/China-early-1900s", "slug": "China-early-1900s", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4dac40f58a1ea6feaea55696848a7c397414d694", "standalone_title": "Overview of Chinese history 1911-1949", "y_pos": 0.0, "current_revision_key": "4dac40f58a1ea6feaea55696848a7c397414d694", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/euro-hist/cold-war", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/euro-hist/cold-war", "translated_standalone_title": "The Cold War", "translated_title": "The Cold War", "gplus_url": "", "id": "x428310fd", "old_key_name": "uLIWFEVoO3FWB0bzKAZBVYOvygHd92VA4nnu0gt7", "hide": false, "title": "The Cold War", "child_data": [{"kind": "Video", "id": 80071249}, {"kind": "Video", "id": 80071250}, {"kind": "Video", "id": 72691931}, {"kind": "Video", "id": 72691932}, {"kind": "Video", "id": 71742706}, {"kind": "Video", "id": 82398329}, {"kind": "Video", "id": 80735998}], "children": [{"translated_youtube_id": "MmRgMAZyYN0", "relative_url": "/video/communism", "has_questions": false, "keywords": "Marx, Lenin, capitalism", "ka_url": "http://www.khanacademy.org/video/communism", "duration": 903, "translated_title": "Communism", "translated_description_html": "Overview of Communism and Marxist-Leninist States", "id": "80071249", "description_html": "Overview of Communism and Marxist-Leninist States", "title": "Communism", "progress_key": "v80071249", "edit_slug": "edit/v/80071249", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Overview of Communism and Marxist-Leninist States", "extra_properties": null, "node_slug": "v/communism", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-06T23:26:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MmRgMAZyYN0.mp4/MmRgMAZyYN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MmRgMAZyYN0.mp4/MmRgMAZyYN0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MmRgMAZyYN0.m3u8/MmRgMAZyYN0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MmRgMAZyYN0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v80071249", "sha": "3399642cfd6c027f429968afbad7162a1a1292b9", "translated_description": "Overview of Communism and Marxist-Leninist States", "image_url": "https://img.youtube.com/vi/MmRgMAZyYN0/hqdefault.jpg", "youtube_id": "MmRgMAZyYN0", "content_kind": "Video", "readable_id": "communism"}, {"translated_youtube_id": "MEGyRgYJKEY", "relative_url": "/video/korean-war-overview", "has_questions": false, "keywords": "kim, il, sung, syngman, rhee, macarthur, truman", "ka_url": "http://www.khanacademy.org/video/korean-war-overview", "duration": 970, "translated_title": "Korean War overview", "translated_description_html": "Korean War Overview", "id": "80071250", "description_html": "Korean War Overview", "title": "Korean War overview", "progress_key": "v80071250", "edit_slug": "edit/v/80071250", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Korean War Overview", "extra_properties": null, "node_slug": "v/korean-war-overview", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-05-06T23:26:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MEGyRgYJKEY.mp4/MEGyRgYJKEY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MEGyRgYJKEY.mp4/MEGyRgYJKEY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MEGyRgYJKEY.m3u8/MEGyRgYJKEY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MEGyRgYJKEY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v80071250", "sha": "2a00747c1e14838e466f8af8875e5b7cc8e88091", "translated_description": "Korean War Overview", "image_url": "https://img.youtube.com/vi/MEGyRgYJKEY/hqdefault.jpg", "youtube_id": "MEGyRgYJKEY", "content_kind": "Video", "readable_id": "korean-war-overview"}, {"translated_youtube_id": "XmkbAduMD_E", "relative_url": "/video/bay-of-pigs-invasion", "has_questions": false, "keywords": "Castro, Gueverra, Batista, CIA", "ka_url": "http://www.khanacademy.org/video/bay-of-pigs-invasion", "duration": 822, "translated_title": "Bay of Pigs Invasion", "translated_description_html": "Bay of Pigs Invasion", "id": "72691931", "description_html": "Bay of Pigs Invasion", "title": "Bay of Pigs Invasion", "progress_key": "v72691931", "edit_slug": "edit/v/72691931", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Bay of Pigs Invasion", "extra_properties": null, "node_slug": "v/bay-of-pigs-invasion", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-28T23:27:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XmkbAduMD_E.mp4/XmkbAduMD_E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XmkbAduMD_E.mp4/XmkbAduMD_E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XmkbAduMD_E.m3u8/XmkbAduMD_E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XmkbAduMD_E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v72691931", "sha": "def76ef4fe9402b02284bd1f1a77c7f9c89cd2c5", "translated_description": "Bay of Pigs Invasion", "image_url": "https://img.youtube.com/vi/XmkbAduMD_E/hqdefault.jpg", "youtube_id": "XmkbAduMD_E", "content_kind": "Video", "readable_id": "bay-of-pigs-invasion"}, {"translated_youtube_id": "VO40SpSBjbc", "relative_url": "/video/cuban-missile-crisis", "has_questions": false, "keywords": "JFK, krushchev, cold, war, jupiter, fidel, castro", "ka_url": "http://www.khanacademy.org/video/cuban-missile-crisis", "duration": 1140, "translated_title": "Cuban Missile Crisis", "translated_description_html": "Overview of the Cuban Missile Crisis", "id": "72691932", "description_html": "Overview of the Cuban Missile Crisis", "title": "Cuban Missile Crisis", "progress_key": "v72691932", "edit_slug": "edit/v/72691932", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of the Cuban Missile Crisis", "extra_properties": null, "node_slug": "v/cuban-missile-crisis", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-28T23:27:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VO40SpSBjbc.mp4/VO40SpSBjbc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VO40SpSBjbc.mp4/VO40SpSBjbc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VO40SpSBjbc.m3u8/VO40SpSBjbc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VO40SpSBjbc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v72691932", "sha": "180981c86de44980ae841b321a001ee31a12aaab", "translated_description": "Overview of the Cuban Missile Crisis", "image_url": "https://img.youtube.com/vi/VO40SpSBjbc/hqdefault.jpg", "youtube_id": "VO40SpSBjbc", "content_kind": "Video", "readable_id": "cuban-missile-crisis"}, {"translated_youtube_id": "9e9GWdT2pEQ", "relative_url": "/video/vietnam-war", "has_questions": false, "keywords": "Ho, Chi, Minh, Viet, Cong, Domino, theory, containment", "ka_url": "http://www.khanacademy.org/video/vietnam-war", "duration": 1061, "translated_title": "Vietnam War", "translated_description_html": "Overview of the Vietnam War", "id": "71742706", "description_html": "Overview of the Vietnam War", "title": "Vietnam War", "progress_key": "v71742706", "edit_slug": "edit/v/71742706", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of the Vietnam War", "extra_properties": null, "node_slug": "v/vietnam-war", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-27T23:25:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9e9GWdT2pEQ.mp4/9e9GWdT2pEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9e9GWdT2pEQ.mp4/9e9GWdT2pEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9e9GWdT2pEQ.m3u8/9e9GWdT2pEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9e9GWdT2pEQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v71742706", "sha": "c142df2750394fc9bfc75e9521b4e8356f454df3", "translated_description": "Overview of the Vietnam War", "image_url": "https://img.youtube.com/vi/9e9GWdT2pEQ/hqdefault.jpg", "youtube_id": "9e9GWdT2pEQ", "content_kind": "Video", "readable_id": "vietnam-war"}, {"translated_youtube_id": "Um92GZLCQ_Q", "relative_url": "/video/allende-and-pinochet-in-chile", "has_questions": false, "keywords": "cia, nixon, kissinger, allende, pinochet", "ka_url": "http://www.khanacademy.org/video/allende-and-pinochet-in-chile", "duration": 901, "translated_title": "Allende and Pinochet in Chile", "translated_description_html": "Outline of the 1973 Allende Coup in Chile and Pinochet's Junta (this video under CC-BY-SA)", "id": "82398329", "description_html": "Outline of the 1973 Allende Coup in Chile and Pinochet's Junta (this video under CC-BY-SA)", "title": "Allende and Pinochet in Chile", "progress_key": "v82398329", "edit_slug": "edit/v/82398329", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Outline of the 1973 Allende Coup in Chile and Pinochet's Junta (this video under CC-BY-SA)", "extra_properties": {"original_url": ""}, "node_slug": "v/allende-and-pinochet-in-chile", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-09T23:25:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Um92GZLCQ_Q.mp4/Um92GZLCQ_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Um92GZLCQ_Q.mp4/Um92GZLCQ_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Um92GZLCQ_Q.m3u8/Um92GZLCQ_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Um92GZLCQ_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v82398329", "sha": "c946855d80241e649b63a1d1ef771fb5e15f59a8", "translated_description": "Outline of the 1973 Allende Coup in Chile and Pinochet's Junta (this video under CC-BY-SA)", "image_url": "https://img.youtube.com/vi/Um92GZLCQ_Q/hqdefault.jpg", "youtube_id": "Um92GZLCQ_Q", "content_kind": "Video", "readable_id": "allende-and-pinochet-in-chile"}, {"translated_youtube_id": "aNkrawaaiZQ", "relative_url": "/video/pattern-of-us-cold-war-interventions", "has_questions": false, "keywords": "cold, war", "ka_url": "http://www.khanacademy.org/video/pattern-of-us-cold-war-interventions", "duration": 559, "translated_title": "Pattern of US Cold War interventions", "translated_description_html": "Comparing the patterns of Korea, Cuba and Vietnam", "id": "80735998", "description_html": "Comparing the patterns of Korea, Cuba and Vietnam", "title": "Pattern of US Cold War interventions", "progress_key": "v80735998", "edit_slug": "edit/v/80735998", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Comparing the patterns of Korea, Cuba and Vietnam", "extra_properties": null, "node_slug": "v/pattern-of-us-cold-war-interventions", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-05-07T23:25:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aNkrawaaiZQ.mp4/aNkrawaaiZQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aNkrawaaiZQ.mp4/aNkrawaaiZQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aNkrawaaiZQ.m3u8/aNkrawaaiZQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aNkrawaaiZQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v80735998", "sha": "2686f5d7f36baad455de1bb399bf7b88e05f970e", "translated_description": "Comparing the patterns of Korea, Cuba and Vietnam", "image_url": "https://img.youtube.com/vi/aNkrawaaiZQ/hqdefault.jpg", "youtube_id": "aNkrawaaiZQ", "content_kind": "Video", "readable_id": "pattern-of-us-cold-war-interventions"}], "twitter_url": "", "translated_description": "The cold war between the United States and the Soviet and their respective allies never involved direct conflict (which might have ended the world). Instead, it involved posturing, brinksmanship and proxy wars in far-flung regions of the world.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The cold war between the United States and the Soviet and their respective allies never involved direct conflict (which might have ended the world). Instead, it involved posturing, brinksmanship and proxy wars in far-flung regions of the world.", "x_pos": 0.0, "node_slug": "cold-war", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax428310fd", "topic_page_url": "/humanities/history/euro-hist/cold-war", "extended_slug": "humanities/history/euro-hist/cold-war", "slug": "cold-war", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "f02b99de84665447cfe3f1c690b9a01a94c3ec44", "standalone_title": "The Cold War", "y_pos": 0.0, "current_revision_key": "f02b99de84665447cfe3f1c690b9a01a94c3ec44", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "You cannot properly understand current world events without understanding the history of the 20th Century. This topic takes us on a journey from the end of Imperialism through two world wars and the Cold War and brings us to our modern world.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You cannot properly understand current world events without understanding the history of the 20th Century. This topic takes us on a journey from the end of Imperialism through two world wars and the Cold War and brings us to our modern world.", "x_pos": 0.0, "node_slug": "euro-hist", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T00:32:46Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf121c1dc", "topic_page_url": "/humanities/history/euro-hist", "extended_slug": "humanities/history/euro-hist", "slug": "euro-hist", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c64384cece72c76acc386143c1a1115878cc0918", "standalone_title": "World History", "y_pos": 0.0, "current_revision_key": "c64384cece72c76acc386143c1a1115878cc0918", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s", "translated_standalone_title": "1600s-1800s: Enlightenment and the Industrial Revolution", "translated_title": "1700-1900: Enlightenment and the Industrial Revolution", "gplus_url": "", "id": "xbb820063", "old_key_name": "G-CCxMwwzivU_SrBeMWOBCfJof2K0sgXjMym1NGZ", "hide": false, "title": "1700-1900: Enlightenment and the Industrial Revolution", "child_data": [{"kind": "Topic", "id": "x9ef98283"}, {"kind": "Topic", "id": "xfcff90a6"}, {"kind": "Topic", "id": "x3ec6f02d"}, {"kind": "Topic", "id": "x5e87cf09"}, {"kind": "Topic", "id": "x1edbf39e"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s/declaration-of-independence", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s/declaration-of-independence", "translated_standalone_title": "US Declaration of Independence", "translated_title": "US Declaration of Independence", "gplus_url": "", "id": "x9ef98283", "old_key_name": null, "hide": false, "title": "US Declaration of Independence", "child_data": [{"kind": "Video", "id": "xd05daf08"}, {"kind": "Video", "id": "xfc9658aa"}, {"kind": "Video", "id": "x4e15c22e"}, {"kind": "Video", "id": "x1f965988"}, {"kind": "Video", "id": "x8dab990d"}, {"kind": "Video", "id": "x297fc323"}], "children": [{"translated_youtube_id": "er1L9BB6UoE", "relative_url": "/video/background-and-introduction-to-the-united-states-declaration-of-independence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/background-and-introduction-to-the-united-states-declaration-of-independence", "duration": 518, "translated_title": "Background and introduction to the United States Declaration of Independence", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life<\/em>, talks to Sal about the background to the Declaration of Independence<\/p>", "id": "xd05daf08", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life<\/em>, talks to Sal about the background to the Declaration of Independence<\/p>", "title": "Background and introduction to the United States Declaration of Independence", "progress_key": "vxd05daf08", "edit_slug": "edit/v/xd05daf08", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the background to the Declaration of Independence", "extra_properties": {}, "node_slug": "v/background-and-introduction-to-the-united-states-declaration-of-independence", "deleted": false, "backup_timestamp": "2013-10-29T21:27:55Z", "date_added": "2013-10-29T21:27:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/er1L9BB6UoE.mp4/er1L9BB6UoE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/er1L9BB6UoE.mp4/er1L9BB6UoE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/er1L9BB6UoE.m3u8/er1L9BB6UoE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=er1L9BB6UoE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd05daf08", "sha": "186200612d0fee81365062d35d7b1a620615253f", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the background to the Declaration of Independence", "image_url": "https://img.youtube.com/vi/er1L9BB6UoE/hqdefault.jpg", "youtube_id": "er1L9BB6UoE", "content_kind": "Video", "readable_id": "background-and-introduction-to-the-united-states-declaration-of-independence"}, {"translated_youtube_id": "uhXLW4bU-pI", "relative_url": "/video/all-men-are-created-equal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/all-men-are-created-equal", "duration": 434, "translated_title": "All men are created equal", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "id": "xfc9658aa", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "title": "All men are created equal", "progress_key": "vxfc9658aa", "edit_slug": "edit/v/xfc9658aa", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "extra_properties": {}, "node_slug": "v/all-men-are-created-equal", "deleted": false, "backup_timestamp": "2013-10-29T21:27:55Z", "date_added": "2013-10-29T21:27:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uhXLW4bU-pI.mp4/uhXLW4bU-pI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uhXLW4bU-pI.mp4/uhXLW4bU-pI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uhXLW4bU-pI.m3u8/uhXLW4bU-pI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uhXLW4bU-pI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfc9658aa", "sha": "9dfa9adf139e0c32bcd05a639283193d8c1a92fc", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "image_url": "https://img.youtube.com/vi/uhXLW4bU-pI/hqdefault.jpg", "youtube_id": "uhXLW4bU-pI", "content_kind": "Video", "readable_id": "all-men-are-created-equal"}, {"translated_youtube_id": "S7SnU8ujfwM", "relative_url": "/video/life--liberty-and-the-pursuit-of-happiness", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/life--liberty-and-the-pursuit-of-happiness", "duration": 355, "translated_title": "Life, liberty and the pursuit of happiness", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "id": "x4e15c22e", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "title": "Life, liberty and the pursuit of happiness", "progress_key": "vx4e15c22e", "edit_slug": "edit/v/x4e15c22e", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "extra_properties": {}, "node_slug": "v/life--liberty-and-the-pursuit-of-happiness", "deleted": false, "backup_timestamp": "2013-10-29T21:27:54Z", "date_added": "2013-10-29T21:27:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S7SnU8ujfwM.mp4/S7SnU8ujfwM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S7SnU8ujfwM.mp4/S7SnU8ujfwM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S7SnU8ujfwM.m3u8/S7SnU8ujfwM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S7SnU8ujfwM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4e15c22e", "sha": "3a571474b63a1417b02effc12bbda29fba59ec58", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "image_url": "https://img.youtube.com/vi/S7SnU8ujfwM/hqdefault.jpg", "youtube_id": "S7SnU8ujfwM", "content_kind": "Video", "readable_id": "life--liberty-and-the-pursuit-of-happiness"}, {"translated_youtube_id": "-7kSDHFXwZ4", "relative_url": "/video/tyranny-and-despotism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tyranny-and-despotism", "duration": 594, "translated_title": "Tyranny and despotism", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "id": "x1f965988", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "title": "Tyranny and despotism", "progress_key": "vx1f965988", "edit_slug": "edit/v/x1f965988", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "extra_properties": {}, "node_slug": "v/tyranny-and-despotism", "deleted": false, "backup_timestamp": "2013-10-29T21:27:54Z", "date_added": "2013-10-29T21:27:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-7kSDHFXwZ4.mp4/-7kSDHFXwZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-7kSDHFXwZ4.mp4/-7kSDHFXwZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-7kSDHFXwZ4.m3u8/-7kSDHFXwZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-7kSDHFXwZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1f965988", "sha": "afa5e257e034a8db46e28630f030f9d4f9fbc5af", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "image_url": "https://img.youtube.com/vi/-7kSDHFXwZ4/hqdefault.jpg", "youtube_id": "-7kSDHFXwZ4", "content_kind": "Video", "readable_id": "tyranny-and-despotism"}, {"translated_youtube_id": "_NB5-Z0pOyc", "relative_url": "/video/first-draft-of-the-declaration-of-independence", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/first-draft-of-the-declaration-of-independence", "duration": 490, "translated_title": "First draft of the Declaration of Independence", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "id": "x8dab990d", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence
<\/p>", "title": "First draft of the Declaration of Independence", "progress_key": "vx8dab990d", "edit_slug": "edit/v/x8dab990d", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "extra_properties": {}, "node_slug": "v/first-draft-of-the-declaration-of-independence", "deleted": false, "backup_timestamp": "2013-10-29T21:27:55Z", "date_added": "2013-10-29T21:27:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_NB5-Z0pOyc.mp4/_NB5-Z0pOyc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_NB5-Z0pOyc.mp4/_NB5-Z0pOyc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_NB5-Z0pOyc.m3u8/_NB5-Z0pOyc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_NB5-Z0pOyc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8dab990d", "sha": "5852bbe636e42b89eea63060ae7698d788a79eef", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the Declaration of Independence", "image_url": "https://img.youtube.com/vi/_NB5-Z0pOyc/hqdefault.jpg", "youtube_id": "_NB5-Z0pOyc", "content_kind": "Video", "readable_id": "first-draft-of-the-declaration-of-independence"}, {"translated_youtube_id": "Rk8dCnKIfP4", "relative_url": "/video/birth-of-the-us-constitution", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/birth-of-the-us-constitution", "duration": 763, "translated_title": "Birth of the US Constitution", "translated_description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the birth of the US Constitution
<\/p>", "id": "x297fc323", "description_html": "

Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the birth of the US Constitution
<\/p>", "title": "Birth of the US Constitution", "progress_key": "vx297fc323", "edit_slug": "edit/v/x297fc323", "author_names": [], "deleted_mod_time": null, "description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the birth of the US Constitution", "extra_properties": {}, "node_slug": "v/birth-of-the-us-constitution", "deleted": false, "backup_timestamp": "2013-10-29T21:27:54Z", "date_added": "2013-10-29T21:27:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rk8dCnKIfP4.mp4/Rk8dCnKIfP4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rk8dCnKIfP4.mp4/Rk8dCnKIfP4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rk8dCnKIfP4.m3u8/Rk8dCnKIfP4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rk8dCnKIfP4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx297fc323", "sha": "aa8bc3f4490da5d7b77eb9c80df8e572bd740092", "translated_description": "Walter Isaacson, author of Benjamin Franklin: An American Life, talks to Sal about the birth of the US Constitution", "image_url": "https://img.youtube.com/vi/Rk8dCnKIfP4/hqdefault.jpg", "youtube_id": "Rk8dCnKIfP4", "content_kind": "Video", "readable_id": "birth-of-the-us-constitution"}], "twitter_url": "", "translated_description": "In this tutorial Walter Isaacson walks Sal through the United States Declaration of Independence. In doing so, they discuss the philosophical underpinnings of the American Revolution and the United States in general.\n\nWalter Isaacson is the President and CEO of the Aspen Institute. He is the former CEO and Chairman of CNN and Managing Editor of Time Magazine. He has written best-selling biographies of Steve Jobs, Benjamin Franklin, Albert Einstein and Henry Kissinger.\n", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "In this tutorial Walter Isaacson walks Sal through the United States Declaration of Independence. In doing so, they discuss the philosophical underpinnings of the American Revolution and the United States in general.\n\nWalter Isaacson is the President and CEO of the Aspen Institute. He is the former CEO and Chairman of CNN and Managing Editor of Time Magazine. He has written best-selling biographies of Steve Jobs, Benjamin Franklin, Albert Einstein and Henry Kissinger.\n", "x_pos": 0.0, "node_slug": "declaration-of-independence", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-29T21:27:54Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9ef98283", "topic_page_url": "/humanities/history/1600s-1800s/declaration-of-independence", "extended_slug": "humanities/history/1600s-1800s/declaration-of-independence", "slug": "declaration-of-independence", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bdc7cb12a57e8462e3502c7d3474c3e2cc4056f5", "standalone_title": "US Declaration of Independence", "y_pos": 0.0, "current_revision_key": "bdc7cb12a57e8462e3502c7d3474c3e2cc4056f5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s/french-revolution-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s/french-revolution-tutorial", "translated_standalone_title": "French Revolution", "translated_title": "French Revolution", "gplus_url": "", "id": "xfcff90a6", "old_key_name": "YLK1SaysqaVz9p2JMJEVZWxDBp2TAqXXStc7vJ9W", "hide": false, "title": "French Revolution", "child_data": [{"kind": "Video", "id": 25175}, {"kind": "Video", "id": 25177}, {"kind": "Video", "id": 25179}, {"kind": "Video", "id": 25181}], "children": [{"translated_youtube_id": "BDWqwcTtZa0", "relative_url": "/video/french-revolution--part-1", "has_questions": false, "keywords": "history, french, revolution, bastille", "ka_url": "http://www.khanacademy.org/video/french-revolution--part-1", "duration": 1025, "translated_title": "French Revolution (part 1)", "translated_description_html": "Part 1 of the French Revolution. From the Convocation of the Estates General to the storming of the Bastille", "id": "25175", "description_html": "Part 1 of the French Revolution. From the Convocation of the Estates General to the storming of the Bastille", "title": "French Revolution (part 1)", "progress_key": "v25175", "edit_slug": "edit/v/25175", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 1 of the French Revolution. From the Convocation of the Estates General to the storming of the Bastille", "extra_properties": null, "node_slug": "v/french-revolution--part-1", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-02-20T16:45:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BDWqwcTtZa0.mp4/BDWqwcTtZa0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BDWqwcTtZa0.mp4/BDWqwcTtZa0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BDWqwcTtZa0.m3u8/BDWqwcTtZa0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BDWqwcTtZa0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25175", "sha": "27513512ca7ecc2d7849072e2c180a8a8925ceef", "translated_description": "Part 1 of the French Revolution. From the Convocation of the Estates General to the storming of the Bastille", "image_url": "https://img.youtube.com/vi/BDWqwcTtZa0/hqdefault.jpg", "youtube_id": "BDWqwcTtZa0", "content_kind": "Video", "readable_id": "french-revolution--part-1"}, {"translated_youtube_id": "0t4MF9ZoppM", "relative_url": "/video/french-revolution--part-2", "has_questions": false, "keywords": "pillnitz, champ, mars, french, revolution", "ka_url": "http://www.khanacademy.org/video/french-revolution--part-2", "duration": 891, "translated_title": "French Revolution (part 2)", "translated_description_html": "Royals try to escape. Champ De Mars Massacre. Declaration of Pillnitz. Movement towards becoming a Republic.", "id": "25177", "description_html": "Royals try to escape. Champ De Mars Massacre. Declaration of Pillnitz. Movement towards becoming a Republic.", "title": "French Revolution (part 2)", "progress_key": "v25177", "edit_slug": "edit/v/25177", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Royals try to escape. Champ De Mars Massacre. Declaration of Pillnitz. Movement towards becoming a Republic.", "extra_properties": {"originalUrl": ""}, "node_slug": "v/french-revolution--part-2", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-02-20T16:45:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0t4MF9ZoppM.mp4/0t4MF9ZoppM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0t4MF9ZoppM.mp4/0t4MF9ZoppM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0t4MF9ZoppM.m3u8/0t4MF9ZoppM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0t4MF9ZoppM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25177", "sha": "c61352e149fb23a5bae94d1d54f7bf5132243048", "translated_description": "Royals try to escape. Champ De Mars Massacre. Declaration of Pillnitz. Movement towards becoming a Republic.", "image_url": "https://img.youtube.com/vi/0t4MF9ZoppM/hqdefault.jpg", "youtube_id": "0t4MF9ZoppM", "content_kind": "Video", "readable_id": "french-revolution--part-2"}, {"translated_youtube_id": "BZmtnCqTWik", "relative_url": "/video/french-revolution--part-3----reign-of-terror", "has_questions": false, "keywords": "guillotine, reign, of, terror, french, revolution", "ka_url": "http://www.khanacademy.org/video/french-revolution--part-3----reign-of-terror", "duration": 1409, "translated_title": "French Revolution (part 3) - Reign of Terror", "translated_description_html": "The Reign of Terror", "id": "25179", "description_html": "The Reign of Terror", "title": "French Revolution (part 3) - Reign of Terror", "progress_key": "v25179", "edit_slug": "edit/v/25179", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Reign of Terror", "extra_properties": null, "node_slug": "v/french-revolution--part-3----reign-of-terror", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BZmtnCqTWik.mp4/BZmtnCqTWik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BZmtnCqTWik.mp4/BZmtnCqTWik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BZmtnCqTWik.m3u8/BZmtnCqTWik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BZmtnCqTWik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25179", "sha": "9b0ded24f4135788fe90d0bc42b4654ab41c4a37", "translated_description": "The Reign of Terror", "image_url": "https://img.youtube.com/vi/BZmtnCqTWik/hqdefault.jpg", "youtube_id": "BZmtnCqTWik", "content_kind": "Video", "readable_id": "french-revolution--part-3----reign-of-terror"}, {"translated_youtube_id": "KYoB2mjNdr0", "relative_url": "/video/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "has_questions": false, "keywords": "french, revolution, napoleon, bonaparte", "ka_url": "http://www.khanacademy.org/video/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "duration": 1008, "translated_title": "French Revolution (part 4) - The Rise of Napoleon Bonaparte", "translated_description_html": "The rise of Napoleon Bonaparte", "id": "25181", "description_html": "The rise of Napoleon Bonaparte", "title": "French Revolution (part 4) - The Rise of Napoleon Bonaparte", "progress_key": "v25181", "edit_slug": "edit/v/25181", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The rise of Napoleon Bonaparte", "extra_properties": null, "node_slug": "v/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.m3u8/KYoB2mjNdr0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KYoB2mjNdr0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25181", "sha": "9dc06d48703bb0a427812423f06fa9d72ad43322", "translated_description": "The rise of Napoleon Bonaparte", "image_url": "https://img.youtube.com/vi/KYoB2mjNdr0/hqdefault.jpg", "youtube_id": "KYoB2mjNdr0", "content_kind": "Video", "readable_id": "french-revolution--part-4----the-rise-of-napoleon-bonaparte"}], "twitter_url": "", "translated_description": "\"Let them eat cake!\" \"No, how about we cut your head off instead!\" \n\nThe French Revolution was ugly, bloody and idealistic. This tutorial covers the beginning of the end of the Bourbon rule (actually doesn't really go away for 60 years) and birth of France as a Republic (which will really take about 80 years).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "\"Let them eat cake!\" \"No, how about we cut your head off instead!\" \n\nThe French Revolution was ugly, bloody and idealistic. This tutorial covers the beginning of the end of the Bourbon rule (actually doesn't really go away for 60 years) and birth of France as a Republic (which will really take about 80 years).", "x_pos": 0.0, "node_slug": "french-revolution-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfcff90a6", "topic_page_url": "/humanities/history/1600s-1800s/french-revolution-tutorial", "extended_slug": "humanities/history/1600s-1800s/french-revolution-tutorial", "slug": "french-revolution-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0385e5016db0041f8e020d5d907bd6263799282e", "standalone_title": "French Revolution", "y_pos": 0.0, "current_revision_key": "0385e5016db0041f8e020d5d907bd6263799282e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s/napoleon-bonaparte", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s/napoleon-bonaparte", "translated_standalone_title": "Napoleon Bonaparte", "translated_title": "Napoleon Bonaparte", "gplus_url": "", "id": "x3ec6f02d", "old_key_name": "bP0qsmHIJdpAPkFikqmh9HEsF4bb8TSgXYJiC_2Q", "hide": false, "title": "Napoleon Bonaparte", "child_data": [{"kind": "Video", "id": 25181}, {"kind": "Video", "id": 25187}, {"kind": "Video", "id": 25189}, {"kind": "Video", "id": 25191}, {"kind": "Video", "id": 25193}, {"kind": "Video", "id": 27843}, {"kind": "Video", "id": 25195}, {"kind": "Video", "id": 1081957510}], "children": [{"translated_youtube_id": "KYoB2mjNdr0", "relative_url": "/video/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "has_questions": false, "keywords": "french, revolution, napoleon, bonaparte", "ka_url": "http://www.khanacademy.org/video/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "duration": 1008, "translated_title": "French Revolution (part 4) - The Rise of Napoleon Bonaparte", "translated_description_html": "The rise of Napoleon Bonaparte", "id": "25181", "description_html": "The rise of Napoleon Bonaparte", "title": "French Revolution (part 4) - The Rise of Napoleon Bonaparte", "progress_key": "v25181", "edit_slug": "edit/v/25181", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The rise of Napoleon Bonaparte", "extra_properties": null, "node_slug": "v/french-revolution--part-4----the-rise-of-napoleon-bonaparte", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.m3u8/KYoB2mjNdr0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KYoB2mjNdr0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25181", "sha": "9dc06d48703bb0a427812423f06fa9d72ad43322", "translated_description": "The rise of Napoleon Bonaparte", "image_url": "https://img.youtube.com/vi/KYoB2mjNdr0/hqdefault.jpg", "youtube_id": "KYoB2mjNdr0", "content_kind": "Video", "readable_id": "french-revolution--part-4----the-rise-of-napoleon-bonaparte"}, {"translated_youtube_id": "OzyH-1p9nAg", "relative_url": "/video/napoleon-and-the-wars-of-the-first-and-second-coalitions", "has_questions": false, "keywords": "french, history, napoleon, bonaparte", "ka_url": "http://www.khanacademy.org/video/napoleon-and-the-wars-of-the-first-and-second-coalitions", "duration": 798, "translated_title": "Napoleon and the Wars of the First and Second Coalitions", "translated_description_html": "Overview of the first two coalitions against France and Napoleon's roles in them.", "id": "25187", "description_html": "Overview of the first two coalitions against France and Napoleon's roles in them.", "title": "Napoleon and the Wars of the First and Second Coalitions", "progress_key": "v25187", "edit_slug": "edit/v/25187", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Overview of the first two coalitions against France and Napoleon's roles in them.", "extra_properties": null, "node_slug": "v/napoleon-and-the-wars-of-the-first-and-second-coalitions", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OzyH-1p9nAg.mp4/OzyH-1p9nAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OzyH-1p9nAg.mp4/OzyH-1p9nAg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OzyH-1p9nAg.m3u8/OzyH-1p9nAg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OzyH-1p9nAg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25187", "sha": "16ef423148f53b09fd8118272956d2f9688fc4d5", "translated_description": "Overview of the first two coalitions against France and Napoleon's roles in them.", "image_url": "https://img.youtube.com/vi/OzyH-1p9nAg/hqdefault.jpg", "youtube_id": "OzyH-1p9nAg", "content_kind": "Video", "readable_id": "napoleon-and-the-wars-of-the-first-and-second-coalitions"}, {"translated_youtube_id": "yogD_-Op4Wc", "relative_url": "/video/napoleon-and-the-war-of-the-third-coalition", "has_questions": false, "keywords": "Napoleon, Bonaparte, France, Coalition, Wars", "ka_url": "http://www.khanacademy.org/video/napoleon-and-the-war-of-the-third-coalition", "duration": 1312, "translated_title": "Napoleon and the War of the Third Coalition", "translated_description_html": "Napoleon leads France to become the dominant power in Europe. Napoleon I becomes Emperor of France.", "id": "25189", "description_html": "Napoleon leads France to become the dominant power in Europe. Napoleon I becomes Emperor of France.", "title": "Napoleon and the War of the Third Coalition", "progress_key": "v25189", "edit_slug": "edit/v/25189", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Napoleon leads France to become the dominant power in Europe. Napoleon I becomes Emperor of France.", "extra_properties": null, "node_slug": "v/napoleon-and-the-war-of-the-third-coalition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yogD_-Op4Wc.mp4/yogD_-Op4Wc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yogD_-Op4Wc.mp4/yogD_-Op4Wc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yogD_-Op4Wc.m3u8/yogD_-Op4Wc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yogD_-Op4Wc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25189", "sha": "63a02df2bd7f9feff56e773e6279da7f74c007b5", "translated_description": "Napoleon leads France to become the dominant power in Europe. Napoleon I becomes Emperor of France.", "image_url": "https://img.youtube.com/vi/yogD_-Op4Wc/hqdefault.jpg", "youtube_id": "yogD_-Op4Wc", "content_kind": "Video", "readable_id": "napoleon-and-the-war-of-the-third-coalition"}, {"translated_youtube_id": "O3HxPDH-s7w", "relative_url": "/video/napoleon-and-the-war-of-the-fourth-coalition", "has_questions": false, "keywords": "napoleon, prussia, russia", "ka_url": "http://www.khanacademy.org/video/napoleon-and-the-war-of-the-fourth-coalition", "duration": 978, "translated_title": "Napoleon and the War of the Fourth Coalition", "translated_description_html": "Napoleon takes on Prussia and Russia and wins again", "id": "25191", "description_html": "Napoleon takes on Prussia and Russia and wins again", "title": "Napoleon and the War of the Fourth Coalition", "progress_key": "v25191", "edit_slug": "edit/v/25191", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Napoleon takes on Prussia and Russia and wins again", "extra_properties": null, "node_slug": "v/napoleon-and-the-war-of-the-fourth-coalition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O3HxPDH-s7w.mp4/O3HxPDH-s7w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O3HxPDH-s7w.mp4/O3HxPDH-s7w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O3HxPDH-s7w.m3u8/O3HxPDH-s7w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O3HxPDH-s7w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25191", "sha": "b4d456b4d82fccb3392213e31e916bd0c8ec4aa2", "translated_description": "Napoleon takes on Prussia and Russia and wins again", "image_url": "https://img.youtube.com/vi/O3HxPDH-s7w/hqdefault.jpg", "youtube_id": "O3HxPDH-s7w", "content_kind": "Video", "readable_id": "napoleon-and-the-war-of-the-fourth-coalition"}, {"translated_youtube_id": "ALJGz4r_VF0", "relative_url": "/video/napoleon-s-peninsular-campaigns", "has_questions": false, "keywords": "napoleon, spain, portugal, austria", "ka_url": "http://www.khanacademy.org/video/napoleon-s-peninsular-campaigns", "duration": 1222, "translated_title": "Napoleon's Peninsular Campaigns", "translated_description_html": "French forces get embroiled in the Iberian Peninsula", "id": "25193", "description_html": "French forces get embroiled in the Iberian Peninsula", "title": "Napoleon's Peninsular Campaigns", "progress_key": "v25193", "edit_slug": "edit/v/25193", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "French forces get embroiled in the Iberian Peninsula", "extra_properties": null, "node_slug": "v/napoleon-s-peninsular-campaigns", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ALJGz4r_VF0.mp4/ALJGz4r_VF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ALJGz4r_VF0.mp4/ALJGz4r_VF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ALJGz4r_VF0.m3u8/ALJGz4r_VF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ALJGz4r_VF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25193", "sha": "fd375ce50ea2b03ae4a107f5e5c9c5e71c83728d", "translated_description": "French forces get embroiled in the Iberian Peninsula", "image_url": "https://img.youtube.com/vi/ALJGz4r_VF0/hqdefault.jpg", "youtube_id": "ALJGz4r_VF0", "content_kind": "Video", "readable_id": "napoleon-s-peninsular-campaigns"}, {"translated_youtube_id": "F_ySQvjtAxQ", "relative_url": "/video/french-invasion-of-russia", "has_questions": false, "keywords": "Napoleon, Russia, Invasion", "ka_url": "http://www.khanacademy.org/video/french-invasion-of-russia", "duration": 999, "translated_title": "French invasion of Russia", "translated_description_html": "Napoleon's disastrous invasion of Russia", "id": "27843", "description_html": "Napoleon's disastrous invasion of Russia", "title": "French invasion of Russia", "progress_key": "v27843", "edit_slug": "edit/v/27843", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Napoleon's disastrous invasion of Russia", "extra_properties": null, "node_slug": "v/french-invasion-of-russia", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.mp4/F_ySQvjtAxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.mp4/F_ySQvjtAxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.m3u8/F_ySQvjtAxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F_ySQvjtAxQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v27843", "sha": "3bbef0f26b31cfbd12897a47f3e74337cc651b09", "translated_description": "Napoleon's disastrous invasion of Russia", "image_url": "https://img.youtube.com/vi/F_ySQvjtAxQ/hqdefault.jpg", "youtube_id": "F_ySQvjtAxQ", "content_kind": "Video", "readable_id": "french-invasion-of-russia"}, {"translated_youtube_id": "CH6FQhlZn6k", "relative_url": "/video/napoleon-forced-to-abdicate", "has_questions": false, "keywords": "napoleon, abdicate, exite, elba", "ka_url": "http://www.khanacademy.org/video/napoleon-forced-to-abdicate", "duration": 982, "translated_title": "Napoleon forced to abdicate", "translated_description_html": "The Sixth Coalition forces Napoleon into exile on Elba", "id": "25195", "description_html": "The Sixth Coalition forces Napoleon into exile on Elba", "title": "Napoleon forced to abdicate", "progress_key": "v25195", "edit_slug": "edit/v/25195", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Sixth Coalition forces Napoleon into exile on Elba", "extra_properties": null, "node_slug": "v/napoleon-forced-to-abdicate", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CH6FQhlZn6k.mp4/CH6FQhlZn6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CH6FQhlZn6k.mp4/CH6FQhlZn6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CH6FQhlZn6k.m3u8/CH6FQhlZn6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CH6FQhlZn6k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25195", "sha": "7411f6a292c03afa02d7afb2fa1e5065f5acc1f1", "translated_description": "The Sixth Coalition forces Napoleon into exile on Elba", "image_url": "https://img.youtube.com/vi/CH6FQhlZn6k/hqdefault.jpg", "youtube_id": "CH6FQhlZn6k", "content_kind": "Video", "readable_id": "napoleon-forced-to-abdicate"}, {"translated_youtube_id": "ufymsKi9S3U", "relative_url": "/video/hundred-days-and-waterloo", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hundred-days-and-waterloo", "duration": 453, "translated_title": "Hundred days and Waterloo", "translated_description_html": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "id": "1081957510", "description_html": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "title": "Hundred days and Waterloo", "progress_key": "v1081957510", "edit_slug": "edit/v/1081957510", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "extra_properties": null, "node_slug": "v/hundred-days-and-waterloo", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-10-11T15:33:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.mp4/ufymsKi9S3U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.mp4/ufymsKi9S3U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ufymsKi9S3U.m3u8/ufymsKi9S3U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ufymsKi9S3U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1081957510", "sha": "45480b8b099bbf4bbbc6b6f313c054a306d99789", "translated_description": "Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo", "image_url": "https://img.youtube.com/vi/ufymsKi9S3U/hqdefault.jpg", "youtube_id": "ufymsKi9S3U", "content_kind": "Video", "readable_id": "hundred-days-and-waterloo"}], "twitter_url": "", "translated_description": "A man with such a huge \"Napoleonic complex\", that they named it after him. A military genius with a ginormous ego, some people consider him a hero or a tyrant or both.\n\nFrance has successfully overthrown Louis XVI in 1789. It has gone through a many-year period of bloodshed and instability. The monarch's of Europe are not happy about this \"overthrow-your-king\" business. A 5'6'' Corsican establishes himself as a strong military tactician during the wars with other European powers and soon comes to power in France.\n\nThis tutorial covers the rise and fall of one of the most famous men in all of history: Napoleon Bonaparte (Napoleon I).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A man with such a huge \"Napoleonic complex\", that they named it after him. A military genius with a ginormous ego, some people consider him a hero or a tyrant or both.\n\nFrance has successfully overthrown Louis XVI in 1789. It has gone through a many-year period of bloodshed and instability. The monarch's of Europe are not happy about this \"overthrow-your-king\" business. A 5'6'' Corsican establishes himself as a strong military tactician during the wars with other European powers and soon comes to power in France.\n\nThis tutorial covers the rise and fall of one of the most famous men in all of history: Napoleon Bonaparte (Napoleon I).", "x_pos": 0.0, "node_slug": "napoleon-bonaparte", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3ec6f02d", "topic_page_url": "/humanities/history/1600s-1800s/napoleon-bonaparte", "extended_slug": "humanities/history/1600s-1800s/napoleon-bonaparte", "slug": "napoleon-bonaparte", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "397f8c0ac52345905f1ae2bea0cbaabdc76bb706", "standalone_title": "Napoleon Bonaparte", "y_pos": 0.0, "current_revision_key": "397f8c0ac52345905f1ae2bea0cbaabdc76bb706", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s/many-french-revolutions", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s/many-french-revolutions", "translated_standalone_title": "France's many revolutions and republics", "translated_title": "France's many revolutions and republics", "gplus_url": "", "id": "x5e87cf09", "old_key_name": "Ym2weKBM2O5_B29wl-yMYmdZxXGp1LY_T_7bxA4c", "hide": false, "title": "France's many revolutions and republics", "child_data": [{"kind": "Video", "id": 1272067996}], "children": [{"translated_youtube_id": "I4iwhvDhvKE", "relative_url": "/video/les-miserables-and-france-s-many-revolutions", "has_questions": false, "keywords": "napoleon, republic, louis", "ka_url": "http://www.khanacademy.org/video/les-miserables-and-france-s-many-revolutions", "duration": 663, "translated_title": "Les Miserables and France's many revolutions", "translated_description_html": "Overview of early 19th century French history and context for Les Miserables", "id": "1272067996", "description_html": "Overview of early 19th century French history and context for Les Miserables", "title": "Les Miserables and France's many revolutions", "progress_key": "v1272067996", "edit_slug": "edit/v/1272067996", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of early 19th century French history and context for Les Miserables", "extra_properties": null, "node_slug": "v/les-miserables-and-france-s-many-revolutions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-07T16:18:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I4iwhvDhvKE.mp4/I4iwhvDhvKE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I4iwhvDhvKE.mp4/I4iwhvDhvKE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I4iwhvDhvKE.m3u8/I4iwhvDhvKE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I4iwhvDhvKE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1272067996", "sha": "604389c088bfb26686213b735003f8dded1d7b71", "translated_description": "Overview of early 19th century French history and context for Les Miserables", "image_url": "https://img.youtube.com/vi/I4iwhvDhvKE/hqdefault.jpg", "youtube_id": "I4iwhvDhvKE", "content_kind": "Video", "readable_id": "les-miserables-and-france-s-many-revolutions"}], "twitter_url": "", "translated_description": "Unlike the American Revolution which fairly cleanly transitioned the United States from British rule to a republic, France's process of democratization was much longer and more painful. This tutorial gives a scaffold of that (and gives some context for the book/musical/movie \"Les Miserables\").", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Unlike the American Revolution which fairly cleanly transitioned the United States from British rule to a republic, France's process of democratization was much longer and more painful. This tutorial gives a scaffold of that (and gives some context for the book/musical/movie \"Les Miserables\").", "x_pos": 0.0, "node_slug": "many-french-revolutions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5e87cf09", "topic_page_url": "/humanities/history/1600s-1800s/many-french-revolutions", "extended_slug": "humanities/history/1600s-1800s/many-french-revolutions", "slug": "many-french-revolutions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6d3c7a77f7487be5971ca87f9ad91e0ae1c1adbe", "standalone_title": "France's many revolutions and republics", "y_pos": 0.0, "current_revision_key": "6d3c7a77f7487be5971ca87f9ad91e0ae1c1adbe", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1600s-1800s/haitian-revolution", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1600s-1800s/haitian-revolution", "translated_standalone_title": "Haitian Revolution", "translated_title": "Haitian Revolution", "gplus_url": "", "id": "x1edbf39e", "old_key_name": "TtHAiRImLjvxVyAjmn4_Sz30OkDbPISO5tjs1U6Q", "hide": false, "title": "Haitian Revolution", "child_data": [{"kind": "Video", "id": 25183}, {"kind": "Video", "id": 25185}], "children": [{"translated_youtube_id": "Qz5zFzvbib4", "relative_url": "/video/haitian-revolution--part-1", "has_questions": false, "keywords": "haiti, saint-domingue, toussaint, louverture", "ka_url": "http://www.khanacademy.org/video/haitian-revolution--part-1", "duration": 1635, "translated_title": "Haitian Revolution (Part 1)", "translated_description_html": "Slaves rebel in Saint-Domingue (Haiti). Rise of Toussaint L'Ouverture.", "id": "25183", "description_html": "Slaves rebel in Saint-Domingue (Haiti). Rise of Toussaint L'Ouverture.", "title": "Haitian Revolution (Part 1)", "progress_key": "v25183", "edit_slug": "edit/v/25183", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Slaves rebel in Saint-Domingue (Haiti). Rise of Toussaint L'Ouverture.", "extra_properties": null, "node_slug": "v/haitian-revolution--part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qz5zFzvbib4.mp4/Qz5zFzvbib4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qz5zFzvbib4.mp4/Qz5zFzvbib4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qz5zFzvbib4.m3u8/Qz5zFzvbib4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qz5zFzvbib4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25183", "sha": "20761a579cfe13a66ec31a10dc0b4b5e1aed45c4", "translated_description": "Slaves rebel in Saint-Domingue (Haiti). Rise of Toussaint L'Ouverture.", "image_url": "https://img.youtube.com/vi/Qz5zFzvbib4/hqdefault.jpg", "youtube_id": "Qz5zFzvbib4", "content_kind": "Video", "readable_id": "haitian-revolution--part-1"}, {"translated_youtube_id": "gU-5bjpAPmA", "relative_url": "/video/haitian-revolution--part-2", "has_questions": false, "keywords": "haiti, independence, dessalines, leclerc, rochambeau", "ka_url": "http://www.khanacademy.org/video/haitian-revolution--part-2", "duration": 1014, "translated_title": "Haitian Revolution (Part 2)", "translated_description_html": "Dessalines takes on Leclerc and Rochambeau", "id": "25185", "description_html": "Dessalines takes on Leclerc and Rochambeau", "title": "Haitian Revolution (Part 2)", "progress_key": "v25185", "edit_slug": "edit/v/25185", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dessalines takes on Leclerc and Rochambeau", "extra_properties": null, "node_slug": "v/haitian-revolution--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gU-5bjpAPmA.mp4/gU-5bjpAPmA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gU-5bjpAPmA.mp4/gU-5bjpAPmA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gU-5bjpAPmA.m3u8/gU-5bjpAPmA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gU-5bjpAPmA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25185", "sha": "cb6e24b6359cbe0e139bf464ece8da1b31e52656", "translated_description": "Dessalines takes on Leclerc and Rochambeau", "image_url": "https://img.youtube.com/vi/gU-5bjpAPmA/hqdefault.jpg", "youtube_id": "gU-5bjpAPmA", "content_kind": "Video", "readable_id": "haitian-revolution--part-2"}], "twitter_url": "", "translated_description": "Yes, you are right. Haiti is not in Europe. We put the tutorial here because it was a French colony and its own revolution is closely linked to that of France's.\n\nPossibly one of the saddest histories that a nation can have, this tutorial tries to give as much context as possible for the birth of Haiti.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Yes, you are right. Haiti is not in Europe. We put the tutorial here because it was a French colony and its own revolution is closely linked to that of France's.\n\nPossibly one of the saddest histories that a nation can have, this tutorial tries to give as much context as possible for the birth of Haiti.", "x_pos": 0.0, "node_slug": "haitian-revolution", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1edbf39e", "topic_page_url": "/humanities/history/1600s-1800s/haitian-revolution", "extended_slug": "humanities/history/1600s-1800s/haitian-revolution", "slug": "haitian-revolution", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "56bd1a01dcc6d599c096537d15c63ad6240873bb", "standalone_title": "Haitian Revolution", "y_pos": 0.0, "current_revision_key": "56bd1a01dcc6d599c096537d15c63ad6240873bb", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Do we need kings? Can people govern themselves? What rights do we all have? Can science and understanding uplift all of humanity?\n\nThis topic lays the foundation for our modern thinking about the world. From democratic revolutions to the establishment of empires backed by industrial power.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do we need kings? Can people govern themselves? What rights do we all have? Can science and understanding uplift all of humanity?\n\nThis topic lays the foundation for our modern thinking about the world. From democratic revolutions to the establishment of empires backed by industrial power.", "x_pos": 0.0, "node_slug": "1600s-1800s", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb820063", "topic_page_url": "/humanities/history/1600s-1800s", "extended_slug": "humanities/history/1600s-1800s", "slug": "1600s-1800s", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "755b21b7270d8b5a0020ca7b52070cee2020e2b7", "standalone_title": "1600s-1800s: Enlightenment and the Industrial Revolution", "y_pos": 0.0, "current_revision_key": "755b21b7270d8b5a0020ca7b52070cee2020e2b7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1500-1600-Renaissance-Reformation", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1500-1600-Renaissance-Reformation", "translated_standalone_title": "1500-1600: Renaissance & Reformation", "translated_title": "1500-1600: Renaissance and Reformation", "gplus_url": "", "id": "xeb4863fd", "old_key_name": "pOrnYwDYh8FeIrGBYpA2nf_9BXcVAx9FoN9UQDQb", "hide": false, "title": "1500-1600: Renaissance and Reformation", "child_data": [{"kind": "Topic", "id": "x976876a8"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/1500-1600-Renaissance-Reformation/protestant-reformation", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/1500-1600-Renaissance-Reformation/protestant-reformation", "translated_standalone_title": "The Protestant Reformation", "translated_title": "The Protestant Reformation", "gplus_url": "", "id": "x976876a8", "old_key_name": "dxrAvmaBBmaYMyR9pVy--qtcM935umxRmreGfRHA", "hide": false, "title": "The Protestant Reformation", "child_data": [{"kind": "Article", "id": "xbdcfe503"}, {"kind": "Video", "id": "xb1a832b2"}, {"kind": "Video", "id": "x20184df0"}, {"kind": "Video", "id": "xf4983822"}, {"kind": "Video", "id": "x66fe4fa1"}, {"kind": "Article", "id": "xf55ab462"}, {"kind": "Article", "id": "xd7adc116"}, {"kind": "Exercise", "id": "x452d04e4"}], "children": [{"translated_youtube_id": "qTGJMnTWrrw", "relative_url": "/video/protestant-reformation-1", "has_questions": false, "keywords": "history, Protestant Reformation, Martin Luther", "ka_url": "http://www.khanacademy.org/video/protestant-reformation-1", "duration": 498, "translated_title": "Introduction to the Protestant Reformation: Setting the stage (part 1)", "translated_description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xb1a832b2", "description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Setting the stage (part 1)", "progress_key": "vxb1a832b2", "edit_slug": "edit/v/xb1a832b2", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/an-introduction-to-the-protestant-reformation-setting-the-stage-1-of-4.html"}, "node_slug": "v/protestant-reformation-1", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-22T23:44:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.mp4/qTGJMnTWrrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.mp4/qTGJMnTWrrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.m3u8/qTGJMnTWrrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qTGJMnTWrrw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb1a832b2", "sha": "d8d088ddfbd331b293634415cb27de9223a10ec1", "translated_description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/qTGJMnTWrrw/hqdefault.jpg", "youtube_id": "qTGJMnTWrrw", "content_kind": "Video", "readable_id": "protestant-reformation-1"}, {"translated_youtube_id": "dSOnLt3YVl0", "relative_url": "/video/introduction-to-the-protestant-reformation-Luther-2-of-4", "has_questions": false, "keywords": "Protestant Reformation, Martin Luther", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation-Luther-2-of-4", "duration": 675, "translated_title": "Introduction to the Protestant Reformation: Martin Luther (part 2)", "translated_description_html": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "x20184df0", "description_html": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Martin Luther (part 2)", "progress_key": "vx20184df0", "edit_slug": "edit/v/x20184df0", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/an-introduction-to-the-protestant-reformation-martin-luther-2-of-4.html"}, "node_slug": "v/introduction-to-the-protestant-reformation-Luther-2-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-24T00:44:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.mp4/dSOnLt3YVl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.mp4/dSOnLt3YVl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.m3u8/dSOnLt3YVl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dSOnLt3YVl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx20184df0", "sha": "b8d4ef446c3bae2774367d1e184f157eb088e504", "translated_description": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/dSOnLt3YVl0/hqdefault.jpg", "youtube_id": "dSOnLt3YVl0", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation-Luther-2-of-4"}, {"translated_youtube_id": "F6ZsIyKHTNI", "relative_url": "/video/introduction-to-the-protestant-reformation-3-of-4", "has_questions": false, "keywords": "Protestant Reformation", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation-3-of-4", "duration": 496, "translated_title": "Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)", "translated_description_html": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xf4983822", "description_html": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)", "progress_key": "vxf4983822", "edit_slug": "edit/v/xf4983822", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/introduction-to-the-protestant-reformation-varieties-of-protestantism-3-of-4.html"}, "node_slug": "v/introduction-to-the-protestant-reformation-3-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-24T00:43:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.mp4/F6ZsIyKHTNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.mp4/F6ZsIyKHTNI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.m3u8/F6ZsIyKHTNI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F6ZsIyKHTNI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf4983822", "sha": "3c7e5ed7795abb4566104aaf348f907bc186ac53", "translated_description": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/F6ZsIyKHTNI/hqdefault.jpg", "youtube_id": "F6ZsIyKHTNI", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation-3-of-4"}, {"translated_youtube_id": "C6PUlTYnxLY", "relative_url": "/video/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "has_questions": false, "keywords": "reformation, counter-reformation", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "duration": 581, "translated_title": "Introduction to the Protestant Reformation: The Counter-Reformation (part 4)", "translated_description_html": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x66fe4fa1", "description_html": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Introduction to the Protestant Reformation: The Counter-Reformation (part 4)", "progress_key": "vx66fe4fa1", "edit_slug": "edit/v/x66fe4fa1", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/counter-reformation.html"}, "node_slug": "v/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-26T11:41:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.mp4/C6PUlTYnxLY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.mp4/C6PUlTYnxLY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.m3u8/C6PUlTYnxLY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6PUlTYnxLY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx66fe4fa1", "sha": "a1eb463277115553694c47d161f695695b84c911", "translated_description": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/C6PUlTYnxLY/hqdefault.jpg", "youtube_id": "C6PUlTYnxLY", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4"}], "twitter_url": "", "translated_description": "In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.", "x_pos": 0.0, "node_slug": "protestant-reformation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax976876a8", "topic_page_url": "/humanities/history/1500-1600-Renaissance-Reformation/protestant-reformation", "extended_slug": "humanities/history/1500-1600-Renaissance-Reformation/protestant-reformation", "slug": "protestant-reformation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4e38397bd05970442eca6142766447b0b15d2235", "standalone_title": "The Protestant Reformation", "y_pos": 0.0, "current_revision_key": "4e38397bd05970442eca6142766447b0b15d2235", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "A tutorial about the Protestant Reformation", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "A tutorial about the Protestant Reformation", "x_pos": 0.0, "node_slug": "1500-1600-Renaissance-Reformation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T15:37:51Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axeb4863fd", "topic_page_url": "/humanities/history/1500-1600-Renaissance-Reformation", "extended_slug": "humanities/history/1500-1600-Renaissance-Reformation", "slug": "1500-1600-Renaissance-Reformation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c72b3195c0528683af72363f906fa10f7b81c625", "standalone_title": "1500-1600: Renaissance & Reformation", "y_pos": 0.0, "current_revision_key": "c72b3195c0528683af72363f906fa10f7b81c625", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/ancient-medieval", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/ancient-medieval", "translated_standalone_title": "Ancient and Medieval History", "translated_title": "Before 1300: Ancient and Medieval history", "gplus_url": "", "id": "x5b63dd0b", "old_key_name": "0Lcm_HG3XMuU2SifVQfSwhj61Hi7btDV3BO7Kyna", "hide": false, "title": "Before 1300: Ancient and Medieval history", "child_data": [{"kind": "Topic", "id": "xdd90c467"}, {"kind": "Topic", "id": "x514b7b52"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/ancient-medieval/Ancient", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/ancient-medieval/Ancient", "translated_standalone_title": "Ancient and Medieval", "translated_title": "Ancient", "gplus_url": "", "id": "xdd90c467", "old_key_name": null, "hide": false, "title": "Ancient", "child_data": [{"kind": "Video", "id": 820630129}, {"kind": "Video", "id": 671459930}, {"kind": "Video", "id": 785318223}, {"kind": "Video", "id": 1064657948}], "children": [{"translated_youtube_id": "Nok4cBt0V6w", "relative_url": "/video/standard-of-ur--c--2600-2400-b-c-e", "has_questions": false, "keywords": "Ancient Near East, Smarthistory, Art History, Khan Academy, Ur, British Museum", "ka_url": "http://www.khanacademy.org/video/standard-of-ur--c--2600-2400-b-c-e", "duration": 529, "translated_title": "Sumerian art: Standard of Ur", "translated_description_html": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "820630129", "description_html": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Sumerian art: Standard of Ur", "progress_key": "v820630129", "edit_slug": "edit/v/820630129", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-standard-of-ur.html"}, "node_slug": "v/standard-of-ur--c--2600-2400-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-06-04T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.mp4/Nok4cBt0V6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.mp4/Nok4cBt0V6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.m3u8/Nok4cBt0V6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nok4cBt0V6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v820630129", "sha": "d308528f94e5a9ef96f13c59d2486481d57cf1d6", "translated_description": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/Nok4cBt0V6w/hqdefault.jpg", "youtube_id": "Nok4cBt0V6w", "content_kind": "Video", "readable_id": "standard-of-ur--c--2600-2400-b-c-e"}, {"translated_youtube_id": "OFXY9-pec1I", "relative_url": "/video/rosetta-stone--196-b-c-e", "has_questions": false, "keywords": "rosetta stone, egypt, napoleon, smarthistory, art history, hieroglyphics, translation", "ka_url": "http://www.khanacademy.org/video/rosetta-stone--196-b-c-e", "duration": 236, "translated_title": "Ptolemaic: Rosetta Stone", "translated_description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671459930", "description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Ptolemaic: Rosetta Stone", "progress_key": "v671459930", "edit_slug": "edit/v/671459930", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/rosetta-stone.html"}, "node_slug": "v/rosetta-stone--196-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.m3u8/OFXY9-pec1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OFXY9-pec1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459930", "sha": "d7859da39ea6aac39634ff658433e44859ea0392", "translated_description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/OFXY9-pec1I/hqdefault.jpg", "youtube_id": "OFXY9-pec1I", "content_kind": "Video", "readable_id": "rosetta-stone--196-b-c-e"}, {"translated_youtube_id": "VAgA6G75XsI", "relative_url": "/video/a-tour-through-ancient-rome-in-320-c-e", "has_questions": false, "keywords": "art history, smarthistory, khan academy, Rome, Rome Reborn, Hadrian, Nero, Domus Aurea, Roman Baths, Colosseum, Arch of Constantine, Roman Forum, Pantheon, Aqueducts, Constantine", "ka_url": "http://www.khanacademy.org/video/a-tour-through-ancient-rome-in-320-c-e", "duration": 827, "translated_title": "Ancient Rome", "translated_description_html": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "id": "785318223", "description_html": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "title": "Ancient Rome", "progress_key": "v785318223", "edit_slug": "edit/v/785318223", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ancient-rome-an-introduction.html"}, "node_slug": "v/a-tour-through-ancient-rome-in-320-c-e", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-15T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.mp4/VAgA6G75XsI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.mp4/VAgA6G75XsI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.m3u8/VAgA6G75XsI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VAgA6G75XsI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v785318223", "sha": "80b762847bccf8106c0310ad75f7ff4a107a83e5", "translated_description": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "image_url": "https://img.youtube.com/vi/VAgA6G75XsI/hqdefault.jpg", "youtube_id": "VAgA6G75XsI", "content_kind": "Video", "readable_id": "a-tour-through-ancient-rome-in-320-c-e"}, {"translated_youtube_id": "kiMNT18c4Ko", "relative_url": "/video/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "duration": 641, "translated_title": "Ara Pacis", "translated_description_html": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "id": "1064657948", "description_html": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "title": "Ara Pacis", "progress_key": "v1064657948", "edit_slug": "edit/v/1064657948", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ara-pacis.html"}, "node_slug": "v/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-01T18:01:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.mp4/kiMNT18c4Ko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.mp4/kiMNT18c4Ko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.m3u8/kiMNT18c4Ko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kiMNT18c4Ko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064657948", "sha": "f66062941a0053b1505b4d12b3a89ab9cc52b941", "translated_description": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "image_url": "https://img.youtube.com/vi/kiMNT18c4Ko/hqdefault.jpg", "youtube_id": "kiMNT18c4Ko", "content_kind": "Video", "readable_id": "ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome"}], "twitter_url": "", "translated_description": "This tutorial includes the Ancient Near East, and Ancient Greece and Rome.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial includes the Ancient Near East, and Ancient Greece and Rome.", "x_pos": 0.0, "node_slug": "Ancient", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdd90c467", "topic_page_url": "/humanities/history/ancient-medieval/Ancient", "extended_slug": "humanities/history/ancient-medieval/Ancient", "slug": "Ancient", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c06355c1084d8d7e141799219b77a7a51e262bfb", "standalone_title": "Ancient and Medieval", "y_pos": 0.0, "current_revision_key": "c06355c1084d8d7e141799219b77a7a51e262bfb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/ancient-medieval/medieval", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/ancient-medieval/medieval", "translated_standalone_title": "Medieval", "translated_title": "Medieval", "gplus_url": "", "id": "x514b7b52", "old_key_name": null, "hide": false, "title": "Medieval", "child_data": [{"kind": "Video", "id": 669432578}, {"kind": "Video", "id": "x60cdbb94"}, {"kind": "Video", "id": "x5c43baef"}, {"kind": "Video", "id": 824564443}], "children": [{"translated_youtube_id": "dWxcQZBM3eQ", "relative_url": "/video/sutton-hoo-ship-burial--c--700", "has_questions": false, "keywords": "sutton Hoo, Medieval, Art History, Anglo-Saxon, British Museum, Smarthistory", "ka_url": "http://www.khanacademy.org/video/sutton-hoo-ship-burial--c--700", "duration": 263, "translated_title": "Sutton Hoo ship burial", "translated_description_html": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "669432578", "description_html": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Sutton Hoo ship burial", "progress_key": "v669432578", "edit_slug": "edit/v/669432578", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sutton-hoo-ship-burial.html"}, "node_slug": "v/sutton-hoo-ship-burial--c--700", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.mp4/dWxcQZBM3eQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.mp4/dWxcQZBM3eQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.m3u8/dWxcQZBM3eQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dWxcQZBM3eQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432578", "sha": "9ef581f243953de57eaf59a424ac1fec830a5855", "translated_description": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/dWxcQZBM3eQ/hqdefault.jpg", "youtube_id": "dWxcQZBM3eQ", "content_kind": "Video", "readable_id": "sutton-hoo-ship-burial--c--700"}, {"translated_youtube_id": "j4PI8dEWTGE", "relative_url": "/video/charlemagne-an-introduction", "has_questions": false, "keywords": "Charlemagne, Carolingian, medieval", "ka_url": "http://www.khanacademy.org/video/charlemagne-an-introduction", "duration": 470, "translated_title": "Charlemagne: An introduction (1 of 2)", "translated_description_html": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x60cdbb94", "description_html": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Charlemagne: An introduction (1 of 2)", "progress_key": "vx60cdbb94", "edit_slug": "edit/v/x60cdbb94", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/charlemagne-an-introduction.html"}, "node_slug": "v/charlemagne-an-introduction", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-06-15T01:05:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.mp4/j4PI8dEWTGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.mp4/j4PI8dEWTGE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.m3u8/j4PI8dEWTGE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j4PI8dEWTGE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx60cdbb94", "sha": "adc1e3f13380cbffa5e40085c6bb705c5eab3a66", "translated_description": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/j4PI8dEWTGE/hqdefault.jpg", "youtube_id": "j4PI8dEWTGE", "content_kind": "Video", "readable_id": "charlemagne-an-introduction"}, {"translated_youtube_id": "pyDPJENZOs0", "relative_url": "/video/charlemagne-and-the-carolingian-revival", "has_questions": false, "keywords": "charlemagne, Carolingian, medieval", "ka_url": "http://www.khanacademy.org/video/charlemagne-and-the-carolingian-revival", "duration": 695, "translated_title": "Charlemagne and the Carolingian revival (part 2 of 2)", "translated_description_html": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x5c43baef", "description_html": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Charlemagne and the Carolingian revival (part 2 of 2)", "progress_key": "vx5c43baef", "edit_slug": "edit/v/x5c43baef", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/charlemagne-and-the-carolingian-revival.html"}, "node_slug": "v/charlemagne-and-the-carolingian-revival", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-06-15T01:05:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.mp4/pyDPJENZOs0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.mp4/pyDPJENZOs0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.m3u8/pyDPJENZOs0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pyDPJENZOs0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c43baef", "sha": "583e669e49320271297a3fe6cb1d2a569731566d", "translated_description": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pyDPJENZOs0/hqdefault.jpg", "youtube_id": "pyDPJENZOs0", "content_kind": "Video", "readable_id": "charlemagne-and-the-carolingian-revival"}, {"translated_youtube_id": "JOkEfbaaK-o", "relative_url": "/video/coronation-mantle--new", "has_questions": false, "keywords": "Neue Hofburg, Vienna 1133, Palermo, Norman, Cape, Cloak, mantle, coronation, Roger II, educational, Vienna (City/Town/Village)", "ka_url": "http://www.khanacademy.org/video/coronation-mantle--new", "duration": 247, "translated_title": "Coronation mantle", "translated_description_html": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "id": "824564443", "description_html": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "title": "Coronation mantle", "progress_key": "v824564443", "edit_slug": "edit/v/824564443", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/coronation-mantle.html"}, "node_slug": "v/coronation-mantle--new", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-06-06T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.mp4/JOkEfbaaK-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.mp4/JOkEfbaaK-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.m3u8/JOkEfbaaK-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JOkEfbaaK-o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v824564443", "sha": "f4f2eed0ef320aa2e112633364a0f5997b1647ee", "translated_description": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "image_url": "https://img.youtube.com/vi/JOkEfbaaK-o/hqdefault.jpg", "youtube_id": "JOkEfbaaK-o", "content_kind": "Video", "readable_id": "coronation-mantle--new"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "medieval", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax514b7b52", "topic_page_url": "/humanities/history/ancient-medieval/medieval", "extended_slug": "humanities/history/ancient-medieval/medieval", "slug": "medieval", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b77fa82d18be4675f791d6f1457ee5d1b21e0691", "standalone_title": "Medieval", "y_pos": 0.0, "current_revision_key": "b77fa82d18be4675f791d6f1457ee5d1b21e0691", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "ancient-medieval", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5b63dd0b", "topic_page_url": "/humanities/history/ancient-medieval", "extended_slug": "humanities/history/ancient-medieval", "slug": "ancient-medieval", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca6caeed30c93d7c29b2a9a95a8a35fb18e6bf21", "standalone_title": "Ancient and Medieval History", "y_pos": 0.0, "current_revision_key": "ca6caeed30c93d7c29b2a9a95a8a35fb18e6bf21", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/history-survey", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/history-survey", "translated_standalone_title": "Surveys of history", "translated_title": "Surveys of history", "gplus_url": "", "id": "x8d361957", "old_key_name": "75hU30TVc18cHNXdc7b8ktDnO6j3IyFc-cc5-2Qp", "hide": false, "title": "Surveys of history", "child_data": [{"kind": "Topic", "id": "xc6da62b5"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/history/history-survey/us-history", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/history/history-survey/us-history", "translated_standalone_title": "United States History", "translated_title": "United States history overview", "gplus_url": "", "id": "xc6da62b5", "old_key_name": "boLaZ8y3GsK6Ftb-5rPfHD6kWhQoSr21xNpnNTsb", "hide": false, "title": "United States history overview", "child_data": [{"kind": "Video", "id": 68328865}, {"kind": "Video", "id": 69753333}, {"kind": "Video", "id": 69753334}, {"kind": "Video", "id": 109569203}, {"kind": "Video", "id": 80071251}, {"kind": "Video", "id": 80071252}], "children": [{"translated_youtube_id": "ghgPq2wjQUQ", "relative_url": "/video/us-history-overview-1--jamestown-to-the-civil-war", "has_questions": false, "keywords": "american, revolution, french, and, indian, war, constitution, united, states, boston, tea, party", "ka_url": "http://www.khanacademy.org/video/us-history-overview-1--jamestown-to-the-civil-war", "duration": 1108, "translated_title": "US History Overview 1: Jamestown to the Civil War", "translated_description_html": "Jamestown to the Civil War", "id": "68328865", "description_html": "Jamestown to the Civil War", "title": "US History Overview 1: Jamestown to the Civil War", "progress_key": "v68328865", "edit_slug": "edit/v/68328865", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jamestown to the Civil War", "extra_properties": null, "node_slug": "v/us-history-overview-1--jamestown-to-the-civil-war", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-23T23:25:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ghgPq2wjQUQ.mp4/ghgPq2wjQUQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ghgPq2wjQUQ.mp4/ghgPq2wjQUQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ghgPq2wjQUQ.m3u8/ghgPq2wjQUQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ghgPq2wjQUQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v68328865", "sha": "eeaee51e07c18c6f87091ed266d736c36d1ab051", "translated_description": "Jamestown to the Civil War", "image_url": "https://img.youtube.com/vi/ghgPq2wjQUQ/hqdefault.jpg", "youtube_id": "ghgPq2wjQUQ", "content_kind": "Video", "readable_id": "us-history-overview-1--jamestown-to-the-civil-war"}, {"translated_youtube_id": "zmBV87XA52Q", "relative_url": "/video/us-history-overview-2---reconstruction-to-the-great-depression", "has_questions": false, "keywords": "depression, spanish, american, war, cuba, jim, crow", "ka_url": "http://www.khanacademy.org/video/us-history-overview-2---reconstruction-to-the-great-depression", "duration": 863, "translated_title": "US History overview 2: Reconstruction to the Great Depression", "translated_description_html": "Reconstruction to the Great Depression", "id": "69753333", "description_html": "Reconstruction to the Great Depression", "title": "US History overview 2: Reconstruction to the Great Depression", "progress_key": "v69753333", "edit_slug": "edit/v/69753333", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reconstruction to the Great Depression", "extra_properties": null, "node_slug": "v/us-history-overview-2---reconstruction-to-the-great-depression", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-04-25T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zmBV87XA52Q.mp4/zmBV87XA52Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zmBV87XA52Q.mp4/zmBV87XA52Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zmBV87XA52Q.m3u8/zmBV87XA52Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zmBV87XA52Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v69753333", "sha": "821f6ffe21d125893d41e7cb117b090fe4c81128", "translated_description": "Reconstruction to the Great Depression", "image_url": "https://img.youtube.com/vi/zmBV87XA52Q/hqdefault.jpg", "youtube_id": "zmBV87XA52Q", "content_kind": "Video", "readable_id": "us-history-overview-2---reconstruction-to-the-great-depression"}, {"translated_youtube_id": "j2eKaxU-8kA", "relative_url": "/video/us-history-overview-3---wwii-to-vietnam", "has_questions": false, "keywords": "World War II, Hitler, Cold War, Bay of Pigs", "ka_url": "http://www.khanacademy.org/video/us-history-overview-3---wwii-to-vietnam", "duration": 886, "translated_title": "US History overview 3: WWII to Vietnam", "translated_description_html": "World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race", "id": "69753334", "description_html": "World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race", "title": "US History overview 3: WWII to Vietnam", "progress_key": "v69753334", "edit_slug": "edit/v/69753334", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race", "extra_properties": null, "node_slug": "v/us-history-overview-3---wwii-to-vietnam", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-04-25T23:26:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j2eKaxU-8kA.mp4/j2eKaxU-8kA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j2eKaxU-8kA.mp4/j2eKaxU-8kA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j2eKaxU-8kA.m3u8/j2eKaxU-8kA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j2eKaxU-8kA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v69753334", "sha": "f58feebbad6a16828fbc977ecc589d811927f86a", "translated_description": "World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race", "image_url": "https://img.youtube.com/vi/j2eKaxU-8kA/hqdefault.jpg", "youtube_id": "j2eKaxU-8kA", "content_kind": "Video", "readable_id": "us-history-overview-3---wwii-to-vietnam"}, {"translated_youtube_id": "Frpq_A7Ky_Q", "relative_url": "/video/appomattox-court-house-and-lincoln-s-assassination", "has_questions": false, "keywords": "civil, war, history, marquee", "ka_url": "http://www.khanacademy.org/video/appomattox-court-house-and-lincoln-s-assassination", "duration": 361, "translated_title": "Appomattox court house and Lincoln's assassination", "translated_description_html": "From Lee's Surrender to Grant to Lincoln's Assassination", "id": "109569203", "description_html": "From Lee's Surrender to Grant to Lincoln's Assassination", "title": "Appomattox court house and Lincoln's assassination", "progress_key": "v109569203", "edit_slug": "edit/v/109569203", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "From Lee's Surrender to Grant to Lincoln's Assassination", "extra_properties": null, "node_slug": "v/appomattox-court-house-and-lincoln-s-assassination", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-06-07T23:27:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Frpq_A7Ky_Q.mp4/Frpq_A7Ky_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Frpq_A7Ky_Q.mp4/Frpq_A7Ky_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Frpq_A7Ky_Q.m3u8/Frpq_A7Ky_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Frpq_A7Ky_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v109569203", "sha": "ff12bb2e18ece1649e51440c4499291105be1b4d", "translated_description": "From Lee's Surrender to Grant to Lincoln's Assassination", "image_url": "https://img.youtube.com/vi/Frpq_A7Ky_Q/hqdefault.jpg", "youtube_id": "Frpq_A7Ky_Q", "content_kind": "Video", "readable_id": "appomattox-court-house-and-lincoln-s-assassination"}, {"translated_youtube_id": "8NJEeEUUhaI", "relative_url": "/video/when-capitalism-is-great-and-not-so-great", "has_questions": false, "keywords": "capitalism, socialism", "ka_url": "http://www.khanacademy.org/video/when-capitalism-is-great-and-not-so-great", "duration": 828, "translated_title": "When Capitalism is great and not-so-great", "translated_description_html": "Understanding when capitalism can potentially undermine innovation, competition and merit", "id": "80071251", "description_html": "Understanding when capitalism can potentially undermine innovation, competition and merit", "title": "When Capitalism is great and not-so-great", "progress_key": "v80071251", "edit_slug": "edit/v/80071251", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Understanding when capitalism can potentially undermine innovation, competition and merit", "extra_properties": null, "node_slug": "v/when-capitalism-is-great-and-not-so-great", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-05-06T23:26:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8NJEeEUUhaI.mp4/8NJEeEUUhaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8NJEeEUUhaI.mp4/8NJEeEUUhaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8NJEeEUUhaI.m3u8/8NJEeEUUhaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8NJEeEUUhaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v80071251", "sha": "1116eec0ee93a731352df0a2b69935b655b0c84e", "translated_description": "Understanding when capitalism can potentially undermine innovation, competition and merit", "image_url": "https://img.youtube.com/vi/8NJEeEUUhaI/hqdefault.jpg", "youtube_id": "8NJEeEUUhaI", "content_kind": "Video", "readable_id": "when-capitalism-is-great-and-not-so-great"}, {"translated_youtube_id": "J33nVRyTeyU", "relative_url": "/video/20th-century-capitalism-and-regulation-in-the-united-states", "has_questions": false, "keywords": "capitalism, cycles, regulation, government", "ka_url": "http://www.khanacademy.org/video/20th-century-capitalism-and-regulation-in-the-united-states", "duration": 861, "translated_title": "20th Century capitalism and regulation in the United States", "translated_description_html": "Overview of cycles of regulation, de-regulation and government in 20th century US capitalism", "id": "80071252", "description_html": "Overview of cycles of regulation, de-regulation and government in 20th century US capitalism", "title": "20th Century capitalism and regulation in the United States", "progress_key": "v80071252", "edit_slug": "edit/v/80071252", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Overview of cycles of regulation, de-regulation and government in 20th century US capitalism", "extra_properties": null, "node_slug": "v/20th-century-capitalism-and-regulation-in-the-united-states", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2011-05-06T23:26:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J33nVRyTeyU.mp4/J33nVRyTeyU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J33nVRyTeyU.mp4/J33nVRyTeyU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J33nVRyTeyU.m3u8/J33nVRyTeyU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J33nVRyTeyU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v80071252", "sha": "d6b23d6bd401fb202266613262f3fcfbff2b3e07", "translated_description": "Overview of cycles of regulation, de-regulation and government in 20th century US capitalism", "image_url": "https://img.youtube.com/vi/J33nVRyTeyU/hqdefault.jpg", "youtube_id": "J33nVRyTeyU", "content_kind": "Video", "readable_id": "20th-century-capitalism-and-regulation-in-the-united-states"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "us-history", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc6da62b5", "topic_page_url": "/humanities/history/history-survey/us-history", "extended_slug": "humanities/history/history-survey/us-history", "slug": "us-history", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1834239599019d68b55095a3acf05e47c38e694f", "standalone_title": "United States History", "y_pos": 0.0, "current_revision_key": "1834239599019d68b55095a3acf05e47c38e694f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The tutorials in this topic will take you on sweeping journeys through time so that you can get the really BIG picture for how things fit together.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The tutorials in this topic will take you on sweeping journeys through time so that you can get the really BIG picture for how things fit together.", "x_pos": 0.0, "node_slug": "history-survey", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8d361957", "topic_page_url": "/humanities/history/history-survey", "extended_slug": "humanities/history/history-survey", "slug": "history-survey", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3e1539f5dff3fe53c753b8350b0658af79fe0cc7", "standalone_title": "Surveys of history", "y_pos": 0.0, "current_revision_key": "3e1539f5dff3fe53c753b8350b0658af79fe0cc7", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The history of the world (eventually)!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The history of the world (eventually)!", "x_pos": 0.0, "node_slug": "history", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax66f79d8a", "topic_page_url": "/humanities/history", "extended_slug": "humanities/history", "slug": "history", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6d9e422c428f375e856fa72e15f1dae7fe630a9d", "standalone_title": "History", "y_pos": 0.0, "current_revision_key": "6d9e422c428f375e856fa72e15f1dae7fe630a9d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history", "translated_standalone_title": "Art history", "translated_title": "Art history", "gplus_url": "", "id": "x15c3149c", "old_key_name": "UFtEFvjMhYZp9qMj4fhsjDMqJQfTQl9ItW7EDnRY", "hide": false, "title": "Art history", "child_data": [{"kind": "Topic", "id": "xa7c276b7"}, {"kind": "Topic", "id": "xc3b455a1"}, {"kind": "Topic", "id": "x80e2bca5"}, {"kind": "Topic", "id": "x70cf0e4f"}, {"kind": "Topic", "id": "xb9f22b32"}, {"kind": "Topic", "id": "xf1cfbea9"}, {"kind": "Topic", "id": "xd423cf4e"}, {"kind": "Topic", "id": "xa49f103b"}, {"kind": "Topic", "id": "xd2351824"}, {"kind": "Topic", "id": "x3478cfee"}, {"kind": "Topic", "id": "x3012cbf2"}, {"kind": "Topic", "id": "xde79809d"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/introduction-to-art-history", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/introduction-to-art-history", "translated_standalone_title": "Art History: Introduction to Art History", "translated_title": "Introduction to art history", "gplus_url": "", "id": "xa7c276b7", "old_key_name": "0UMg7fuVG1hdrB8fSlPqc9fchHw0G5JPZQFno8g0", "hide": false, "title": "Introduction to art history", "child_data": [{"kind": "Topic", "id": "x1157a465"}, {"kind": "Topic", "id": "x18411f9d"}, {"kind": "Topic", "id": "xbb362a46"}, {"kind": "Topic", "id": "xd430302c"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/introduction-to-art-history/art-history-introduction", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/introduction-to-art-history/art-history-introduction", "translated_standalone_title": "Art History Introduction", "translated_title": "Introduction", "gplus_url": "", "id": "x1157a465", "old_key_name": null, "hide": false, "title": "Introduction", "child_data": [{"kind": "Article", "id": 1314267931}, {"kind": "Article", "id": 1314851510}, {"kind": "Video", "id": 1043985977}, {"kind": "Video", "id": 1044331158}], "children": [{"translated_youtube_id": "0OloYD_kSbU", "relative_url": "/video/why-look-at-art", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-look-at-art", "duration": 116, "translated_title": "Why look at art?", "translated_description_html": "Why look at art? This was the question we posed to several of our colleagues at a conference for museum professionals. Special thanks to Laura Mann, Anna Velez, an anonymous professional, and David Torgersen whose voices and insights are included here.", "id": "1043985977", "description_html": "Why look at art? This was the question we posed to several of our colleagues at a conference for museum professionals. Special thanks to Laura Mann, Anna Velez, an anonymous professional, and David Torgersen whose voices and insights are included here.", "title": "Why look at art?", "progress_key": "v1043985977", "edit_slug": "edit/v/1043985977", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Why look at art? This was the question we posed to several of our colleagues at a conference for museum professionals. Special thanks to Laura Mann, Anna Velez, an anonymous professional, and David Torgersen whose voices and insights are included here.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/why-look-at-art"}, "node_slug": "v/why-look-at-art", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-09-19T01:00:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0OloYD_kSbU.mp4/0OloYD_kSbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0OloYD_kSbU.mp4/0OloYD_kSbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0OloYD_kSbU.m3u8/0OloYD_kSbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0OloYD_kSbU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1043985977", "sha": "aa3617b06861498a14683bc1bf02f6151722c79f", "translated_description": "Why look at art? This was the question we posed to several of our colleagues at a conference for museum professionals. Special thanks to Laura Mann, Anna Velez, an anonymous professional, and David Torgersen whose voices and insights are included here.", "image_url": "https://img.youtube.com/vi/0OloYD_kSbU/hqdefault.jpg", "youtube_id": "0OloYD_kSbU", "content_kind": "Video", "readable_id": "why-look-at-art"}, {"translated_youtube_id": "h_pWZBOR4ec", "relative_url": "/video/the-skill-of-describing", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-skill-of-describing", "duration": 223, "translated_title": "The skill of describing", "translated_description_html": "", "id": "1044331158", "description_html": "", "title": "The skill of describing", "progress_key": "v1044331158", "edit_slug": "edit/v/1044331158", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/skill-of-describing"}, "node_slug": "v/the-skill-of-describing", "deleted": false, "backup_timestamp": "2013-09-30T18:40:08Z", "date_added": "2012-09-19T01:00:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h_pWZBOR4ec.mp4/h_pWZBOR4ec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h_pWZBOR4ec.mp4/h_pWZBOR4ec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h_pWZBOR4ec.m3u8/h_pWZBOR4ec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h_pWZBOR4ec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1044331158", "sha": "69b3c556872bad8fe1f740da5711f28edff9b68a", "translated_description": "", "image_url": "https://img.youtube.com/vi/h_pWZBOR4ec/hqdefault.jpg", "youtube_id": "h_pWZBOR4ec", "content_kind": "Video", "readable_id": "the-skill-of-describing"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "art-history-introduction", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T17:50:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1157a465", "topic_page_url": "/humanities/art-history/introduction-to-art-history/art-history-introduction", "extended_slug": "humanities/art-history/introduction-to-art-history/art-history-introduction", "slug": "art-history-introduction", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a1ed0359f040b5d6a21db20e0e2ff7e47a6a6708", "standalone_title": "Art History Introduction", "y_pos": 0.0, "current_revision_key": "a1ed0359f040b5d6a21db20e0e2ff7e47a6a6708", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/introduction-to-art-history/the-basics", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/introduction-to-art-history/the-basics", "translated_standalone_title": "Art History: The Basics", "translated_title": "The basics", "gplus_url": "", "id": "x18411f9d", "old_key_name": "ELPUO7U_PDHbUGOINgXBnw7b2OKMyMeSpwxh0j3e", "hide": false, "title": "The basics", "child_data": [{"kind": "Video", "id": "x3b871577"}, {"kind": "Video", "id": "x7375afe4"}, {"kind": "Video", "id": "xbd813a40"}, {"kind": "Article", "id": "xf979ae27"}, {"kind": "Exercise", "id": "x481be220"}], "children": [{"translated_youtube_id": "jm8Sva2hnvY", "relative_url": "/video/looking-at-paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/looking-at-paintings", "duration": 656, "translated_title": "Looking at paintings", "translated_description_html": "

How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x3b871577", "description_html": "

How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Looking at paintings", "progress_key": "vx3b871577", "edit_slug": "edit/v/x3b871577", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/looking-at-paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.mp4/jm8Sva2hnvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.mp4/jm8Sva2hnvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.m3u8/jm8Sva2hnvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jm8Sva2hnvY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3b871577", "sha": "c2c1600514e3a860ee6b45217c4252d7d96e3254", "translated_description": "How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/jm8Sva2hnvY/hqdefault.jpg", "youtube_id": "jm8Sva2hnvY", "content_kind": "Video", "readable_id": "looking-at-paintings"}, {"translated_youtube_id": "nrRJkzXl4a4", "relative_url": "/video/the-classical-orders", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/the-classical-orders", "duration": 668, "translated_title": "The classical orders", "translated_description_html": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "id": "x7375afe4", "description_html": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "title": "The classical orders", "progress_key": "vx7375afe4", "edit_slug": "edit/v/x7375afe4", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-classical-orders.html"}, "node_slug": "v/the-classical-orders", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-05-21T01:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.mp4/nrRJkzXl4a4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.mp4/nrRJkzXl4a4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.m3u8/nrRJkzXl4a4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nrRJkzXl4a4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7375afe4", "sha": "e06028b0425195ee6738b6d3ac583a9c5f85b633", "translated_description": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/nrRJkzXl4a4/hqdefault.jpg", "youtube_id": "nrRJkzXl4a4", "content_kind": "Video", "readable_id": "the-classical-orders"}, {"translated_youtube_id": "eOksHhQ8TLM", "relative_url": "/video/how-one-point-linear-perspective-works", "has_questions": false, "keywords": "perspective", "ka_url": "http://www.khanacademy.org/video/how-one-point-linear-perspective-works", "duration": 716, "translated_title": "How one-point linear perspective works", "translated_description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xbd813a40", "description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "How one-point linear perspective works", "progress_key": "vxbd813a40", "edit_slug": "edit/v/xbd813a40", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/how-one-point-linear-perspective-works.html"}, "node_slug": "v/how-one-point-linear-perspective-works", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-05-10T23:02:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.mp4/eOksHhQ8TLM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.mp4/eOksHhQ8TLM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.m3u8/eOksHhQ8TLM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eOksHhQ8TLM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbd813a40", "sha": "f16ffdf99bbc07f6b434e8535e1017e5b51f6b59", "translated_description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/eOksHhQ8TLM/hqdefault.jpg", "youtube_id": "eOksHhQ8TLM", "content_kind": "Video", "readable_id": "how-one-point-linear-perspective-works"}], "twitter_url": "", "translated_description": "If you’ve ever found yourself saying “How can that be art?,” then this tutorial is for you! We’ve tried to answer the real questions that come up during a typical visit to a modern art museum. Learn how describing can help you slow down and better understand what a work of art is communicating. Learn how important historical context is and how meaning can change over time. This tutorial asks: Why is art important? How can a snow shovel be art? How can we find meaning in abstract art?", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you’ve ever found yourself saying “How can that be art?,” then this tutorial is for you! We’ve tried to answer the real questions that come up during a typical visit to a modern art museum. Learn how describing can help you slow down and better understand what a work of art is communicating. Learn how important historical context is and how meaning can change over time. This tutorial asks: Why is art important? How can a snow shovel be art? How can we find meaning in abstract art?", "x_pos": 0.0, "node_slug": "the-basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-30T18:40:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax18411f9d", "topic_page_url": "/humanities/art-history/introduction-to-art-history/the-basics", "extended_slug": "humanities/art-history/introduction-to-art-history/the-basics", "slug": "the-basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1afd52813021b30ca714785d09d2fb13bd9d4d7c", "standalone_title": "Art History: The Basics", "y_pos": 0.0, "current_revision_key": "1afd52813021b30ca714785d09d2fb13bd9d4d7c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/introduction-to-art-history/media", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/introduction-to-art-history/media", "translated_standalone_title": "Art History: Media", "translated_title": "Media and Technique", "gplus_url": "", "id": "xbb362a46", "old_key_name": "KnERZfWrQQhgE2GLmIu4KLHGF5ElIcD4hpCFDoAw", "hide": false, "title": "Media and Technique", "child_data": [{"kind": "Video", "id": 1044166966}, {"kind": "Video", "id": "x88eba800"}, {"kind": "Video", "id": 1044040894}, {"kind": "Video", "id": "xaa9ddfd6"}, {"kind": "Video", "id": 1044338222}, {"kind": "Video", "id": 1044185674}, {"kind": "Video", "id": "x81fc9897"}, {"kind": "Video", "id": "x5fe9ca9d"}, {"kind": "Video", "id": "x1bec64c9"}, {"kind": "Video", "id": "xc00f8154"}, {"kind": "Video", "id": "x7b3f8943"}, {"kind": "Video", "id": "x82aec1aa"}, {"kind": "Video", "id": "x5ece2d25"}, {"kind": "Video", "id": "xcecc0a45"}, {"kind": "Video", "id": "xee2d1bbb"}, {"kind": "Video", "id": "x84dd2381"}, {"kind": "Video", "id": "xf83b866e"}, {"kind": "Video", "id": "x4b47940f"}, {"kind": "Video", "id": "xda2d5d30"}, {"kind": "Video", "id": "x30d479f1"}, {"kind": "Video", "id": "xba8b678d"}, {"kind": "Video", "id": "xdc39a0f1"}, {"kind": "Video", "id": "xb4a16b8e"}, {"kind": "Video", "id": "x9f0eb6d5"}, {"kind": "Exercise", "id": "x82d2c982"}], "children": [{"translated_youtube_id": "YqTbqKCiYJw", "relative_url": "/video/tempera-paint", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tempera-paint", "duration": 708, "translated_title": "Tempera paint", "translated_description_html": "Speakers: Dr. David Drogin and Dr. Steven Zucker", "id": "1044166966", "description_html": "Speakers: Dr. David Drogin and Dr. Steven Zucker", "title": "Tempera paint", "progress_key": "v1044166966", "edit_slug": "edit/v/1044166966", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Speakers: Dr. David Drogin and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/tempera-paint"}, "node_slug": "v/tempera-paint", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-09-19T01:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YqTbqKCiYJw.mp4/YqTbqKCiYJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YqTbqKCiYJw.mp4/YqTbqKCiYJw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YqTbqKCiYJw.m3u8/YqTbqKCiYJw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YqTbqKCiYJw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1044166966", "sha": "7b6dd790a721a04081e1b44110ffd7fcb5e28164", "translated_description": "Speakers: Dr. David Drogin and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/YqTbqKCiYJw/hqdefault.jpg", "youtube_id": "YqTbqKCiYJw", "content_kind": "Video", "readable_id": "tempera-paint"}, {"translated_youtube_id": "WVyusmjiTXI", "relative_url": "/video/gold-ground-panel-painting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gold-ground-panel-painting", "duration": 623, "translated_title": "Gold-ground panel painting", "translated_description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "id": "x88eba800", "description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "title": "Gold-ground panel painting", "progress_key": "vx88eba800", "edit_slug": "edit/v/x88eba800", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/gold-ground-panel-painting", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.m3u8/WVyusmjiTXI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WVyusmjiTXI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx88eba800", "sha": "5959fac7e64730abef7dd9a15777511fcc1215d5", "translated_description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WVyusmjiTXI/hqdefault.jpg", "youtube_id": "WVyusmjiTXI", "content_kind": "Video", "readable_id": "gold-ground-panel-painting"}, {"translated_youtube_id": "9dbb6oITDa0", "relative_url": "/video/oil-paint", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/oil-paint", "duration": 397, "translated_title": "Oil paint", "translated_description_html": "Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris", "id": "1044040894", "description_html": "Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris", "title": "Oil paint", "progress_key": "v1044040894", "edit_slug": "edit/v/1044040894", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/painting"}, "node_slug": "v/oil-paint", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-09-19T01:00:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9dbb6oITDa0.mp4/9dbb6oITDa0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9dbb6oITDa0.mp4/9dbb6oITDa0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9dbb6oITDa0.m3u8/9dbb6oITDa0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9dbb6oITDa0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1044040894", "sha": "01d148253fb1d760165744286696a87989038c62", "translated_description": "Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/9dbb6oITDa0/hqdefault.jpg", "youtube_id": "9dbb6oITDa0", "content_kind": "Video", "readable_id": "oil-paint"}, {"translated_youtube_id": "lG6NWLxDbNo", "relative_url": "/video/oil-paint-in-venice", "has_questions": false, "keywords": "oil, paint, Venice, art, painting, Bellini", "ka_url": "http://www.khanacademy.org/video/oil-paint-in-venice", "duration": 242, "translated_title": "Oil paint in Venice", "translated_description_html": "

A review of fresco and tempera and the development of the use of oil paint by artists in Venice.<\/p>\n", "id": "xaa9ddfd6", "description_html": "

A review of fresco and tempera and the development of the use of oil paint by artists in Venice.<\/p>\n", "title": "Oil paint in Venice", "progress_key": "vxaa9ddfd6", "edit_slug": "edit/v/xaa9ddfd6", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "A review of fresco and tempera and the development of the use of oil paint by artists in Venice.\n", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy..org/oil-paint-in-venice.html"}, "node_slug": "v/oil-paint-in-venice", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-07-29T19:20:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.mp4/lG6NWLxDbNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.mp4/lG6NWLxDbNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.m3u8/lG6NWLxDbNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lG6NWLxDbNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaa9ddfd6", "sha": "5a677ce2274179e508b5c1a8111b64e25c35909d", "translated_description": "A review of fresco and tempera and the development of the use of oil paint by artists in Venice.\n", "image_url": "https://img.youtube.com/vi/lG6NWLxDbNo/hqdefault.jpg", "youtube_id": "lG6NWLxDbNo", "content_kind": "Video", "readable_id": "oil-paint-in-venice"}, {"translated_youtube_id": "XZHLmG8DRbY", "relative_url": "/video/bronze-casting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bronze-casting", "duration": 626, "translated_title": "Bronze casting", "translated_description_html": "Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html", "id": "1044338222", "description_html": "Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html", "title": "Bronze casting", "progress_key": "v1044338222", "edit_slug": "edit/v/1044338222", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bronze-casting"}, "node_slug": "v/bronze-casting", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-09-19T01:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XZHLmG8DRbY.mp4/XZHLmG8DRbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XZHLmG8DRbY.mp4/XZHLmG8DRbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XZHLmG8DRbY.m3u8/XZHLmG8DRbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XZHLmG8DRbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1044338222", "sha": "63bb060c123e797d54e258fbb9979506b989ef3f", "translated_description": "Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html", "image_url": "https://img.youtube.com/vi/XZHLmG8DRbY/hqdefault.jpg", "youtube_id": "XZHLmG8DRbY", "content_kind": "Video", "readable_id": "bronze-casting"}, {"translated_youtube_id": "MvMI2r1RS78", "relative_url": "/video/quarrying-and-carving-marble", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/quarrying-and-carving-marble", "duration": 538, "translated_title": "Quarrying and carving marble", "translated_description_html": "Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html", "id": "1044185674", "description_html": "Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html", "title": "Quarrying and carving marble", "progress_key": "v1044185674", "edit_slug": "edit/v/1044185674", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/carving-marble"}, "node_slug": "v/quarrying-and-carving-marble", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-09-19T01:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MvMI2r1RS78.mp4/MvMI2r1RS78.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MvMI2r1RS78.mp4/MvMI2r1RS78.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MvMI2r1RS78.m3u8/MvMI2r1RS78.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MvMI2r1RS78&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1044185674", "sha": "6d0b670915911fa914432aba53753a9d247dd2d5", "translated_description": "Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html", "image_url": "https://img.youtube.com/vi/MvMI2r1RS78/hqdefault.jpg", "youtube_id": "MvMI2r1RS78", "content_kind": "Video", "readable_id": "quarrying-and-carving-marble"}, {"translated_youtube_id": "PWUuGDovHEI", "relative_url": "/video/carving-marble-with-traditional-tools", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carving-marble-with-traditional-tools", "duration": 168, "translated_title": "Carving marble with traditional tools", "translated_description_html": "

Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+<\/a><\/p>", "id": "x81fc9897", "description_html": "

Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+<\/a><\/p>", "title": "Carving marble with traditional tools", "progress_key": "vx81fc9897", "edit_slug": "edit/v/x81fc9897", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/carving-marble-with-traditional-tools", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.mp4/PWUuGDovHEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.mp4/PWUuGDovHEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.m3u8/PWUuGDovHEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PWUuGDovHEI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx81fc9897", "sha": "400a27ad30b0e0af52471c5cb3ac7cc92f4932ab", "translated_description": "Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/PWUuGDovHEI/hqdefault.jpg", "youtube_id": "PWUuGDovHEI", "content_kind": "Video", "readable_id": "carving-marble-with-traditional-tools"}, {"translated_youtube_id": "WhPW50r07L8", "relative_url": "/video/making-greek-vases", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/making-greek-vases", "duration": 260, "translated_title": "Making Greek vases", "translated_description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "id": "x5fe9ca9d", "description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "title": "Making Greek vases", "progress_key": "vx5fe9ca9d", "edit_slug": "edit/v/x5fe9ca9d", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-greek-vases", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.m3u8/WhPW50r07L8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WhPW50r07L8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5fe9ca9d", "sha": "b9799a7f980c1833a0b0dabdb36f3ec5dc13a25e", "translated_description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WhPW50r07L8/hqdefault.jpg", "youtube_id": "WhPW50r07L8", "content_kind": "Video", "readable_id": "making-greek-vases"}, {"translated_youtube_id": "-BYHn5Vum_A", "relative_url": "/video/moma-printmaking-01", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-printmaking-01", "duration": 109, "translated_title": "Introduction to printmaking", "translated_description_html": "

Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>\n", "id": "x1bec64c9", "description_html": "

Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>\n", "title": "Introduction to printmaking", "progress_key": "vx1bec64c9", "edit_slug": "edit/v/x1bec64c9", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/moma-printmaking-01", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.mp4/-BYHn5Vum_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.mp4/-BYHn5Vum_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.m3u8/-BYHn5Vum_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-BYHn5Vum_A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1bec64c9", "sha": "7f5071fc6ce8c9359785c49d89803556c9337565", "translated_description": "Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.\n", "image_url": "https://img.youtube.com/vi/-BYHn5Vum_A/hqdefault.jpg", "youtube_id": "-BYHn5Vum_A", "content_kind": "Video", "readable_id": "moma-printmaking-01"}, {"translated_youtube_id": "lR8yK_aKb2Q", "relative_url": "/video/MOMA-relief-printmaking", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MOMA-relief-printmaking", "duration": 110, "translated_title": "Introduction to relief printmaking", "translated_description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "xc00f8154", "description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Introduction to relief printmaking", "progress_key": "vxc00f8154", "edit_slug": "edit/v/xc00f8154", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/MOMA-relief-printmaking", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.mp4/lR8yK_aKb2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.mp4/lR8yK_aKb2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.m3u8/lR8yK_aKb2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lR8yK_aKb2Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc00f8154", "sha": "86fa8af08d6e0895837fcb0c2a2918410b22ad04", "translated_description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/lR8yK_aKb2Q/hqdefault.jpg", "youtube_id": "lR8yK_aKb2Q", "content_kind": "Video", "readable_id": "MOMA-relief-printmaking"}, {"translated_youtube_id": "Bjymxow3TVQ", "relative_url": "/video/moma-relief-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-relief-process", "duration": 412, "translated_title": "Relief process", "translated_description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x7b3f8943", "description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Relief process", "progress_key": "vx7b3f8943", "edit_slug": "edit/v/x7b3f8943", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-relief-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.mp4/Bjymxow3TVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.mp4/Bjymxow3TVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.m3u8/Bjymxow3TVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bjymxow3TVQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7b3f8943", "sha": "5d88c4cc7a247b8ac77e1d55ee98d3208f0bf52c", "translated_description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/Bjymxow3TVQ/hqdefault.jpg", "youtube_id": "Bjymxow3TVQ", "content_kind": "Video", "readable_id": "moma-relief-process"}, {"translated_youtube_id": "4Q2oqG6S4Mk", "relative_url": "/video/moma-intro-to-intaglio", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intro-to-intaglio", "duration": 95, "translated_title": "Introduction to intaglio", "translated_description_html": "

What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x82aec1aa", "description_html": "

What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Introduction to intaglio", "progress_key": "vx82aec1aa", "edit_slug": "edit/v/x82aec1aa", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-intro-to-intaglio", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.mp4/4Q2oqG6S4Mk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.mp4/4Q2oqG6S4Mk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.m3u8/4Q2oqG6S4Mk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Q2oqG6S4Mk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx82aec1aa", "sha": "e5ed2e1c42907b8a9f582de3b0d85c453d64d049", "translated_description": "What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/4Q2oqG6S4Mk/hqdefault.jpg", "youtube_id": "4Q2oqG6S4Mk", "content_kind": "Video", "readable_id": "moma-intro-to-intaglio"}, {"translated_youtube_id": "VRwWJyy24So", "relative_url": "/video/moma-intaglio-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intaglio-process", "duration": 305, "translated_title": "Intaglio process", "translated_description_html": "

Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x5ece2d25", "description_html": "

Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Intaglio process", "progress_key": "vx5ece2d25", "edit_slug": "edit/v/x5ece2d25", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-intaglio-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.mp4/VRwWJyy24So.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.mp4/VRwWJyy24So.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.m3u8/VRwWJyy24So.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VRwWJyy24So&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5ece2d25", "sha": "3b3fcba1c9e34bff9c1f8183c04f948c83a87499", "translated_description": "Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/VRwWJyy24So/hqdefault.jpg", "youtube_id": "VRwWJyy24So", "content_kind": "Video", "readable_id": "moma-intaglio-process"}, {"translated_youtube_id": "G-PFEbQ5UGc", "relative_url": "/video/moma-intro-to-lithography", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intro-to-lithography", "duration": 130, "translated_title": "Introduction to lithography", "translated_description_html": "

Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "id": "xcecc0a45", "description_html": "

Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "title": "Introduction to lithography", "progress_key": "vxcecc0a45", "edit_slug": "edit/v/xcecc0a45", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "extra_properties": {}, "node_slug": "v/moma-intro-to-lithography", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.mp4/G-PFEbQ5UGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.mp4/G-PFEbQ5UGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.m3u8/G-PFEbQ5UGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G-PFEbQ5UGc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcecc0a45", "sha": "64e527b86b1f1f00983d2916cd08ef09a4b76ed4", "translated_description": "Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "image_url": "https://img.youtube.com/vi/G-PFEbQ5UGc/hqdefault.jpg", "youtube_id": "G-PFEbQ5UGc", "content_kind": "Video", "readable_id": "moma-intro-to-lithography"}, {"translated_youtube_id": "nUXDltQfqSA", "relative_url": "/video/moma-lithography-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-lithography-process", "duration": 426, "translated_title": "Lithography process", "translated_description_html": "

Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "id": "xee2d1bbb", "description_html": "

Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "title": "Lithography process", "progress_key": "vxee2d1bbb", "edit_slug": "edit/v/xee2d1bbb", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "extra_properties": {}, "node_slug": "v/moma-lithography-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.mp4/nUXDltQfqSA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.mp4/nUXDltQfqSA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.m3u8/nUXDltQfqSA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nUXDltQfqSA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxee2d1bbb", "sha": "55bdd627832b9468f54f6c0e89be00ec5b272570", "translated_description": "Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "image_url": "https://img.youtube.com/vi/nUXDltQfqSA/hqdefault.jpg", "youtube_id": "nUXDltQfqSA", "content_kind": "Video", "readable_id": "moma-lithography-process"}, {"translated_youtube_id": "N8GQQJZQrUc", "relative_url": "/video/moma-art-term-viscosity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-viscosity", "duration": 63, "translated_title": "Art Terms in Action: Viscosity", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "x84dd2381", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Viscosity", "progress_key": "vx84dd2381", "edit_slug": "edit/v/x84dd2381", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-viscosity", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.mp4/N8GQQJZQrUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.mp4/N8GQQJZQrUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.m3u8/N8GQQJZQrUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N8GQQJZQrUc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx84dd2381", "sha": "63167dc2fafc3afd11715017718566f36066ad8b", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/N8GQQJZQrUc/hqdefault.jpg", "youtube_id": "N8GQQJZQrUc", "content_kind": "Video", "readable_id": "moma-art-term-viscosity"}, {"translated_youtube_id": "q7STpNRwzzc", "relative_url": "/video/moma-art-term-tint-shade-tone", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-tint-shade-tone", "duration": 58, "translated_title": "Art Terms in Action: Tint, Shade, and Tone", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xf83b866e", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Tint, Shade, and Tone", "progress_key": "vxf83b866e", "edit_slug": "edit/v/xf83b866e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-tint-shade-tone", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.mp4/q7STpNRwzzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.mp4/q7STpNRwzzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.m3u8/q7STpNRwzzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7STpNRwzzc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf83b866e", "sha": "a3198991ab4b7811a2f379051fdfb3046f1af5f4", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/q7STpNRwzzc/hqdefault.jpg", "youtube_id": "q7STpNRwzzc", "content_kind": "Video", "readable_id": "moma-art-term-tint-shade-tone"}, {"translated_youtube_id": "koL4adsku1g", "relative_url": "/video/moma-art-term-enamel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-enamel", "duration": 68, "translated_title": "Art Terms in Action: Enamel", "translated_description_html": "

Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x4b47940f", "description_html": "

Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Art Terms in Action: Enamel", "progress_key": "vx4b47940f", "edit_slug": "edit/v/x4b47940f", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-art-term-enamel", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.mp4/koL4adsku1g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.mp4/koL4adsku1g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.m3u8/koL4adsku1g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=koL4adsku1g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4b47940f", "sha": "fde7ad8f67a65bd17e8b9d79734551b408c9b869", "translated_description": "Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/koL4adsku1g/hqdefault.jpg", "youtube_id": "koL4adsku1g", "content_kind": "Video", "readable_id": "moma-art-term-enamel"}, {"translated_youtube_id": "GpBD_1pT_mw", "relative_url": "/video/moma-art-term-emulsion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-emulsion", "duration": 59, "translated_title": "Art Terms in Action: Emulsion", "translated_description_html": "

Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xda2d5d30", "description_html": "

Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Emulsion", "progress_key": "vxda2d5d30", "edit_slug": "edit/v/xda2d5d30", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-emulsion", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.mp4/GpBD_1pT_mw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.mp4/GpBD_1pT_mw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.m3u8/GpBD_1pT_mw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GpBD_1pT_mw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxda2d5d30", "sha": "8c3555884c1ea7905bee2cd06011fa6841af4c4a", "translated_description": "Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/GpBD_1pT_mw/hqdefault.jpg", "youtube_id": "GpBD_1pT_mw", "content_kind": "Video", "readable_id": "moma-art-term-emulsion"}, {"translated_youtube_id": "0OrF-ls7wmM", "relative_url": "/video/moma-art-term-stain", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-stain", "duration": 51, "translated_title": "Art Terms in Action: Stain", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "x30d479f1", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Stain", "progress_key": "vx30d479f1", "edit_slug": "edit/v/x30d479f1", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-stain", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.mp4/0OrF-ls7wmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.mp4/0OrF-ls7wmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.m3u8/0OrF-ls7wmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0OrF-ls7wmM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx30d479f1", "sha": "4fb2cc7a771b0460cf093bebc04582e287f889f0", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/0OrF-ls7wmM/hqdefault.jpg", "youtube_id": "0OrF-ls7wmM", "content_kind": "Video", "readable_id": "moma-art-term-stain"}, {"translated_youtube_id": "ajeETSrukxY", "relative_url": "/video/moma-art-term-palette-knife", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-palette-knife", "duration": 36, "translated_title": "Art Terms in Action: Palette Knife", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xba8b678d", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Palette Knife", "progress_key": "vxba8b678d", "edit_slug": "edit/v/xba8b678d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-palette-knife", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.mp4/ajeETSrukxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.mp4/ajeETSrukxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.m3u8/ajeETSrukxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ajeETSrukxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxba8b678d", "sha": "97601aa18dc93d3a5dc049033714581e111b3b7c", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/ajeETSrukxY/hqdefault.jpg", "youtube_id": "ajeETSrukxY", "content_kind": "Video", "readable_id": "moma-art-term-palette-knife"}, {"translated_youtube_id": "fsaRisPpzjU", "relative_url": "/video/moma-art-term-turpentine-burn", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-turpentine-burn", "duration": 37, "translated_title": "Art Terms in Action: Turpentine Burn", "translated_description_html": "

Abstract Expressionist New York<\/span>To experiment on your own, take our <\/span>online studio course <\/span>Materials and Techniques of Postwar Abstract Painting<\/a>. <\/span><\/p>", "id": "xdc39a0f1", "description_html": "

Abstract Expressionist New York<\/span>To experiment on your own, take our <\/span>online studio course <\/span>Materials and Techniques of Postwar Abstract Painting<\/a>. <\/span><\/p>", "title": "Art Terms in Action: Turpentine Burn", "progress_key": "vxdc39a0f1", "edit_slug": "edit/v/xdc39a0f1", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Abstract Expressionist New YorkTo experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-turpentine-burn", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.mp4/fsaRisPpzjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.mp4/fsaRisPpzjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.m3u8/fsaRisPpzjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fsaRisPpzjU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdc39a0f1", "sha": "84a4b87a9fe974b35ca11fea09b19639b4edaa4d", "translated_description": "Abstract Expressionist New YorkTo experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/fsaRisPpzjU/hqdefault.jpg", "youtube_id": "fsaRisPpzjU", "content_kind": "Video", "readable_id": "moma-art-term-turpentine-burn"}, {"translated_youtube_id": "S6d5oAS-jUc", "relative_url": "/video/MoMA-Framing-Christinas-World", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Framing-Christinas-World", "duration": 191, "translated_title": "Framing \"Christina's World\" by Andrew Wyeth", "translated_description_html": "

Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.<\/a><\/p>", "id": "xb4a16b8e", "description_html": "

Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.<\/a><\/p>", "title": "Framing \"Christina's World\" by Andrew Wyeth", "progress_key": "vxb4a16b8e", "edit_slug": "edit/v/xb4a16b8e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/MoMA-Framing-Christinas-World", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.mp4/S6d5oAS-jUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.mp4/S6d5oAS-jUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.m3u8/S6d5oAS-jUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S6d5oAS-jUc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb4a16b8e", "sha": "a10b1457bf855b64caa3d3a54d569b5e0311e56c", "translated_description": "Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/S6d5oAS-jUc/hqdefault.jpg", "youtube_id": "S6d5oAS-jUc", "content_kind": "Video", "readable_id": "MoMA-Framing-Christinas-World"}, {"translated_youtube_id": "sqnrJMTp9dc", "relative_url": "/video/glassmaking-technique-free-blown-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-free-blown-glass", "duration": 124, "translated_title": "Glassmaking technique: free-blown glass", "translated_description_html": "

Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "x9f0eb6d5", "description_html": "

Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: free-blown glass", "progress_key": "vx9f0eb6d5", "edit_slug": "edit/v/x9f0eb6d5", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-free-blown-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.mp4/sqnrJMTp9dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.mp4/sqnrJMTp9dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.m3u8/sqnrJMTp9dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sqnrJMTp9dc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9f0eb6d5", "sha": "0d2c06f32aa6aee8db61dc9fe4e95211121f4207", "translated_description": "Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/sqnrJMTp9dc/hqdefault.jpg", "youtube_id": "sqnrJMTp9dc", "content_kind": "Video", "readable_id": "glassmaking-technique-free-blown-glass"}], "twitter_url": "", "translated_description": "Watching a soccer game is a lot more interesting if you’ve actually played the game yourself. Similarly, art makes a lot more sense if you understand how it was made. Different materials can have a profound effect on how a work of art looks and how we respond to it. Learn about how artist’s made their own supplies before there were art supply stores! Understand the differences between oil and tempera and how marble is quarried and carved.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Watching a soccer game is a lot more interesting if you’ve actually played the game yourself. Similarly, art makes a lot more sense if you understand how it was made. Different materials can have a profound effect on how a work of art looks and how we respond to it. Learn about how artist’s made their own supplies before there were art supply stores! Understand the differences between oil and tempera and how marble is quarried and carved.", "x_pos": 0.0, "node_slug": "media", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-24T12:15:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb362a46", "topic_page_url": "/humanities/art-history/introduction-to-art-history/media", "extended_slug": "humanities/art-history/introduction-to-art-history/media", "slug": "media", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3faf5251e597741f412474d800f44b774723dbb3", "standalone_title": "Art History: Media", "y_pos": 0.0, "current_revision_key": "3faf5251e597741f412474d800f44b774723dbb3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/introduction-to-art-history/conserving-works-of-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/introduction-to-art-history/conserving-works-of-art", "translated_standalone_title": "Conserving works of art", "translated_title": "Conserving works of art", "gplus_url": "", "id": "xd430302c", "old_key_name": null, "hide": false, "title": "Conserving works of art", "child_data": [{"kind": "Video", "id": "xb4c19089"}, {"kind": "Video", "id": "x8c04b173"}, {"kind": "Video", "id": "x5c66f743"}, {"kind": "Video", "id": "xb0bd6c2a"}, {"kind": "Video", "id": "xe5f95c7a"}], "children": [{"translated_youtube_id": "Goi6mjtB5oE", "relative_url": "/video/conservation-of-paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-paintings", "duration": 290, "translated_title": "Conservation of paintings", "translated_description_html": "

Learn about the work of the Getty Museum's paintings conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "xb4c19089", "description_html": "

Learn about the work of the Getty Museum's paintings conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of paintings", "progress_key": "vxb4c19089", "edit_slug": "edit/v/xb4c19089", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's paintings conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.mp4/Goi6mjtB5oE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.mp4/Goi6mjtB5oE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.m3u8/Goi6mjtB5oE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Goi6mjtB5oE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb4c19089", "sha": "4e2e01a77a0347d46ae03aa6ad9021744b24eb95", "translated_description": "Learn about the work of the Getty Museum's paintings conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/Goi6mjtB5oE/hqdefault.jpg", "youtube_id": "Goi6mjtB5oE", "content_kind": "Video", "readable_id": "conservation-of-paintings"}, {"translated_youtube_id": "Qw6NOFJCI8Q", "relative_url": "/video/conserving-old-master-drawings-balancing-act", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conserving-old-master-drawings-balancing-act", "duration": 249, "translated_title": "Conserving old master drawings: a balancing act", "translated_description_html": "

A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+<\/a><\/p>", "id": "x8c04b173", "description_html": "

A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+<\/a><\/p>", "title": "Conserving old master drawings: a balancing act", "progress_key": "vx8c04b173", "edit_slug": "edit/v/x8c04b173", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conserving-old-master-drawings-balancing-act", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.mp4/Qw6NOFJCI8Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.mp4/Qw6NOFJCI8Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.m3u8/Qw6NOFJCI8Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qw6NOFJCI8Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8c04b173", "sha": "7d985f817a99394121e7e2352f912af90829834e", "translated_description": "A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/Qw6NOFJCI8Q/hqdefault.jpg", "youtube_id": "Qw6NOFJCI8Q", "content_kind": "Video", "readable_id": "conserving-old-master-drawings-balancing-act"}, {"translated_youtube_id": "XskxuDSG7mA", "relative_url": "/video/conservation-works-on-paper", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-works-on-paper", "duration": 305, "translated_title": "Conservation of works on paper", "translated_description_html": "

Learn about the work of the Getty Museum's paper conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "x5c66f743", "description_html": "

Learn about the work of the Getty Museum's paper conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of works on paper", "progress_key": "vx5c66f743", "edit_slug": "edit/v/x5c66f743", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's paper conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-works-on-paper", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.mp4/XskxuDSG7mA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.mp4/XskxuDSG7mA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.m3u8/XskxuDSG7mA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XskxuDSG7mA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5c66f743", "sha": "e81ba819741cc7dd65373ebf5c6c5a66b3bae87f", "translated_description": "Learn about the work of the Getty Museum's paper conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/XskxuDSG7mA/hqdefault.jpg", "youtube_id": "XskxuDSG7mA", "content_kind": "Video", "readable_id": "conservation-works-on-paper"}, {"translated_youtube_id": "3gPINuYv1T8", "relative_url": "/video/conservation-of-antiquities", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-antiquities", "duration": 310, "translated_title": "Conservation of antiquities", "translated_description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "xb0bd6c2a", "description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of antiquities", "progress_key": "vxb0bd6c2a", "edit_slug": "edit/v/xb0bd6c2a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-antiquities", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.m3u8/3gPINuYv1T8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3gPINuYv1T8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb0bd6c2a", "sha": "ecaf253c0b7fbc2b1419fd69f1fc6953264ed7e3", "translated_description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/3gPINuYv1T8/hqdefault.jpg", "youtube_id": "3gPINuYv1T8", "content_kind": "Video", "readable_id": "conservation-of-antiquities"}, {"translated_youtube_id": "HBJSxi9Pgo8", "relative_url": "/video/conservation-of-sculpture-decorative-arts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-sculpture-decorative-arts", "duration": 317, "translated_title": "Conservation of sculpture and decorative arts", "translated_description_html": "

Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xe5f95c7a", "description_html": "

Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Conservation of sculpture and decorative arts", "progress_key": "vxe5f95c7a", "edit_slug": "edit/v/xe5f95c7a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-sculpture-decorative-arts", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.mp4/HBJSxi9Pgo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.mp4/HBJSxi9Pgo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.m3u8/HBJSxi9Pgo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HBJSxi9Pgo8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe5f95c7a", "sha": "4a5098cac42312c505a2f2faa502147e177df927", "translated_description": "Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/HBJSxi9Pgo8/hqdefault.jpg", "youtube_id": "HBJSxi9Pgo8", "content_kind": "Video", "readable_id": "conservation-of-sculpture-decorative-arts"}], "twitter_url": "", "translated_description": "See conservators in action and learn about the work a conservator does in different media.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "See conservators in action and learn about the work a conservator does in different media.", "x_pos": 0.0, "node_slug": "conserving-works-of-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-09T01:42:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd430302c", "topic_page_url": "/humanities/art-history/introduction-to-art-history/conserving-works-of-art", "extended_slug": "humanities/art-history/introduction-to-art-history/conserving-works-of-art", "slug": "conserving-works-of-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9a30aa444201586795315f7d52aeecd8f920cb12", "standalone_title": "Conserving works of art", "y_pos": 0.0, "current_revision_key": "9a30aa444201586795315f7d52aeecd8f920cb12", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "New to art? If so, this is a good place to start. We often think we should understand what we see and that we know what we like, but art can be challenging. It has meant different things at different moments in history. Art gives us access to the way other people have seen the world. Jump in and explore!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "New to art? If so, this is a good place to start. We often think we should understand what we see and that we know what we like, but art can be challenging. It has meant different things at different moments in history. Art gives us access to the way other people have seen the world. Jump in and explore!", "x_pos": 0.0, "node_slug": "introduction-to-art-history", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa7c276b7", "topic_page_url": "/humanities/art-history/introduction-to-art-history", "extended_slug": "humanities/art-history/introduction-to-art-history", "slug": "introduction-to-art-history", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c7450edcfd4f8e8494a5fa251b1576ab3afcb393", "standalone_title": "Art History: Introduction to Art History", "y_pos": 0.0, "current_revision_key": "c7450edcfd4f8e8494a5fa251b1576ab3afcb393", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1", "translated_standalone_title": "Art History: - 400 C.E. Ancient Cultures", "translated_title": "- 400 C.E. Ancient cultures", "gplus_url": "", "id": "xc3b455a1", "old_key_name": "pf5MZeIkujxsV0Bh6nW3xiUPvlebHV8uXZrQoy3p", "hide": false, "title": "- 400 C.E. Ancient cultures", "child_data": [{"kind": "Topic", "id": "xfc96aa30"}, {"kind": "Topic", "id": "x8a53deb4"}, {"kind": "Topic", "id": "xa934c5d8"}, {"kind": "Topic", "id": "x6832ba1d"}, {"kind": "Topic", "id": "x8a28dceb"}, {"kind": "Topic", "id": "xcdcc04b9"}, {"kind": "Topic", "id": "x4dd36cc0"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/prehistoric", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/prehistoric", "translated_standalone_title": "Art History: Prehistoric", "translated_title": "Prehistoric", "gplus_url": "", "id": "xfc96aa30", "old_key_name": "0pZp9Dm1oyOAKlNL30bTVyPMo2ptsaUXQU06IwQ_", "hide": false, "title": "Prehistoric", "child_data": [{"kind": "Article", "id": "xc130048e"}, {"kind": "Video", "id": 808489127}, {"kind": "Video", "id": "x18c3d480"}, {"kind": "Video", "id": 1087251094}, {"kind": "Exercise", "id": "x2ebba62e"}], "children": [{"translated_youtube_id": "ENAZqOoOVaI", "relative_url": "/video/nude-woman--venus-of-willendorf---c--28-000-25-000-b-c-e", "has_questions": false, "keywords": "venus of willendorf, willendorf, art history, preshistoric art, Venus, Khan Academy, Ice Age", "ka_url": "http://www.khanacademy.org/video/nude-woman--venus-of-willendorf---c--28-000-25-000-b-c-e", "duration": 260, "translated_title": "Nude woman (Venus of Willendorf)", "translated_description_html": "Nude Woman (Venus of Willendorf), c. 28,000-25,000 B.C.E., Limestone, 4 1/4\" high (Naturhistorisches Museum, Vienna)", "id": "808489127", "description_html": "Nude Woman (Venus of Willendorf), c. 28,000-25,000 B.C.E., Limestone, 4 1/4\" high (Naturhistorisches Museum, Vienna)", "title": "Nude woman (Venus of Willendorf)", "progress_key": "v808489127", "edit_slug": "edit/v/808489127", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Nude Woman (Venus of Willendorf), c. 28,000-25,000 B.C.E., Limestone, 4 1/4\" high (Naturhistorisches Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/nude-woman-venus-of-willendorf"}, "node_slug": "v/nude-woman--venus-of-willendorf---c--28-000-25-000-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-05-28T08:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ENAZqOoOVaI.mp4/ENAZqOoOVaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ENAZqOoOVaI.mp4/ENAZqOoOVaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ENAZqOoOVaI.m3u8/ENAZqOoOVaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ENAZqOoOVaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v808489127", "sha": "e5863acf55e725c023232172cdf2d92907f9eb09", "translated_description": "Nude Woman (Venus of Willendorf), c. 28,000-25,000 B.C.E., Limestone, 4 1/4\" high (Naturhistorisches Museum, Vienna)", "image_url": "https://img.youtube.com/vi/ENAZqOoOVaI/hqdefault.jpg", "youtube_id": "ENAZqOoOVaI", "content_kind": "Video", "readable_id": "nude-woman--venus-of-willendorf---c--28-000-25-000-b-c-e"}, {"translated_youtube_id": "ld8kHvz1yN4", "relative_url": "/video/Jade Cong", "has_questions": false, "keywords": "jade cong neolithic", "ka_url": "http://www.khanacademy.org/video/Jade Cong", "duration": 311, "translated_title": "Jade Cong", "translated_description_html": "

Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)<\/p>


<\/p>

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "id": "x18c3d480", "description_html": "

Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)<\/p>


<\/p>

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "title": "Jade Cong", "progress_key": "vx18c3d480", "edit_slug": "edit/v/x18c3d480", "author_names": [], "deleted_mod_time": null, "description": "Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {}, "node_slug": "v/Jade Cong", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-24T05:16:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ld8kHvz1yN4.mp4/ld8kHvz1yN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ld8kHvz1yN4.mp4/ld8kHvz1yN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ld8kHvz1yN4.m3u8/ld8kHvz1yN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ld8kHvz1yN4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx18c3d480", "sha": "4b2b749980861ae6aab72c9caab6bce2b8046199", "translated_description": "Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ld8kHvz1yN4/hqdefault.jpg", "youtube_id": "ld8kHvz1yN4", "content_kind": "Video", "readable_id": "Jade Cong"}, {"translated_youtube_id": "69-YUSazuic", "relative_url": "/video/language-of-coins-2-8--proto-writing", "has_questions": false, "keywords": "information theory, brit cruise, alphabet, language, writing, phonetics, egypt, sumer", "ka_url": "http://www.khanacademy.org/video/language-of-coins-2-8--proto-writing", "duration": 440, "translated_title": "Prehistory: Proto-writing", "translated_description_html": "", "id": "1087251094", "description_html": "", "title": "Prehistory: Proto-writing", "progress_key": "v1087251094", "edit_slug": "edit/v/1087251094", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/language-of-coins-2-8--proto-writing", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-14T23:51:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.mp4/69-YUSazuic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.mp4/69-YUSazuic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/69-YUSazuic.m3u8/69-YUSazuic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=69-YUSazuic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1087251094", "sha": "3ebad911a333edd80fcb65eb3fe1fa294f3bc17c", "translated_description": "", "image_url": "https://img.youtube.com/vi/69-YUSazuic/hqdefault.jpg", "youtube_id": "69-YUSazuic", "content_kind": "Video", "readable_id": "language-of-coins-2-8--proto-writing"}], "twitter_url": "", "translated_description": "You’ve seen the drawing of human evolution showing a procession of monkey, ape, primitive and modern man? Well, somewhere along that line early man could be shown holding a paint brush and a chisel. Mankind has been making art for at least 100,000 years. Why was the earliest art made? What might it have once meant? This tutorial focuses on what we do and do not know about one of the earliest representations of the human body, The Venus of Willendorf.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You’ve seen the drawing of human evolution showing a procession of monkey, ape, primitive and modern man? Well, somewhere along that line early man could be shown holding a paint brush and a chisel. Mankind has been making art for at least 100,000 years. Why was the earliest art made? What might it have once meant? This tutorial focuses on what we do and do not know about one of the earliest representations of the human body, The Venus of Willendorf.", "x_pos": 0.0, "node_slug": "prehistoric", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-24T05:19:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfc96aa30", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/prehistoric", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/prehistoric", "slug": "prehistoric", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1177043d56a4941e2000e978b7e260e035ec55df", "standalone_title": "Art History: Prehistoric", "y_pos": 0.0, "current_revision_key": "1177043d56a4941e2000e978b7e260e035ec55df", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-near-east", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-near-east", "translated_standalone_title": "Art History: Ancient Near East", "translated_title": "Ancient Near East", "gplus_url": "", "id": "x8a53deb4", "old_key_name": "yshD69DmVc28ZQ_U22QKunuIEXnGH6vv9Jw4yEyI", "hide": false, "title": "Ancient Near East", "child_data": [{"kind": "Article", "id": "x7108fb29"}, {"kind": "Video", "id": 820630129}, {"kind": "Video", "id": 1166670884}, {"kind": "Video", "id": 671397701}, {"kind": "Video", "id": 671422820}, {"kind": "Video", "id": "x18feab9a"}, {"kind": "Video", "id": 671260980}, {"kind": "Video", "id": "x6ab99001"}, {"kind": "Video", "id": "x9e2c3f9f"}, {"kind": "Video", "id": 671711098}, {"kind": "Video", "id": 719474980}, {"kind": "Article", "id": "x999b1c15"}, {"kind": "Exercise", "id": "x909abe64"}], "children": [{"translated_youtube_id": "Nok4cBt0V6w", "relative_url": "/video/standard-of-ur--c--2600-2400-b-c-e", "has_questions": false, "keywords": "Ancient Near East, Smarthistory, Art History, Khan Academy, Ur, British Museum", "ka_url": "http://www.khanacademy.org/video/standard-of-ur--c--2600-2400-b-c-e", "duration": 529, "translated_title": "Sumerian art: Standard of Ur", "translated_description_html": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "820630129", "description_html": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Sumerian art: Standard of Ur", "progress_key": "v820630129", "edit_slug": "edit/v/820630129", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-standard-of-ur.html"}, "node_slug": "v/standard-of-ur--c--2600-2400-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-06-04T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.mp4/Nok4cBt0V6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.mp4/Nok4cBt0V6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nok4cBt0V6w.m3u8/Nok4cBt0V6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nok4cBt0V6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v820630129", "sha": "d308528f94e5a9ef96f13c59d2486481d57cf1d6", "translated_description": "Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/Nok4cBt0V6w/hqdefault.jpg", "youtube_id": "Nok4cBt0V6w", "content_kind": "Video", "readable_id": "standard-of-ur--c--2600-2400-b-c-e"}, {"translated_youtube_id": "MM6BrZwkBRA", "relative_url": "/video/history-of-the-alphabet--language-of-coins--3-9", "has_questions": false, "keywords": "alphabet, history of alphabet, information theory, brit cruise", "ka_url": "http://www.khanacademy.org/video/history-of-the-alphabet--language-of-coins--3-9", "duration": 563, "translated_title": "Ancient history: The alphabet", "translated_description_html": "", "id": "1166670884", "description_html": "", "title": "Ancient history: The alphabet", "progress_key": "v1166670884", "edit_slug": "edit/v/1166670884", "author_names": ["Brit Cruise"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/history-of-the-alphabet--language-of-coins--3-9", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-11-23T05:09:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.mp4/MM6BrZwkBRA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.mp4/MM6BrZwkBRA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MM6BrZwkBRA.m3u8/MM6BrZwkBRA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MM6BrZwkBRA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1166670884", "sha": "4abcc47292d7e45982514ea07b740112f8880b0f", "translated_description": "", "image_url": "https://img.youtube.com/vi/MM6BrZwkBRA/hqdefault.jpg", "youtube_id": "MM6BrZwkBRA", "content_kind": "Video", "readable_id": "history-of-the-alphabet--language-of-coins--3-9"}, {"translated_youtube_id": "ZJm7Qgef3ks", "relative_url": "/video/great-lyre-from-the--king-s-grave---c--2650-2550-b-c-e", "has_questions": false, "keywords": "ancient near east, smarthistory, art history, Lyre", "ka_url": "http://www.khanacademy.org/video/great-lyre-from-the--king-s-grave---c--2650-2550-b-c-e", "duration": 553, "translated_title": "Sumerian art: Great Lyre from the \"King's Grave\" at Ur", "translated_description_html": "Great Lyre from the \"King's Grave,\" c. 2650-2550 B.C.E., Gold, silver, lapis lazuli, shell, bitumen and wood (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour", "id": "671397701", "description_html": "Great Lyre from the \"King's Grave,\" c. 2650-2550 B.C.E., Gold, silver, lapis lazuli, shell, bitumen and wood (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour", "title": "Sumerian art: Great Lyre from the \"King's Grave\" at Ur", "progress_key": "v671397701", "edit_slug": "edit/v/671397701", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Great Lyre from the \"King's Grave,\" c. 2650-2550 B.C.E., Gold, silver, lapis lazuli, shell, bitumen and wood (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ancient-near-east"}, "node_slug": "v/great-lyre-from-the--king-s-grave---c--2650-2550-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJm7Qgef3ks.mp4/ZJm7Qgef3ks.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJm7Qgef3ks.mp4/ZJm7Qgef3ks.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZJm7Qgef3ks.m3u8/ZJm7Qgef3ks.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZJm7Qgef3ks&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397701", "sha": "fba1645b42006ec13df4f672bea6403e3937f6f6", "translated_description": "Great Lyre from the \"King's Grave,\" c. 2650-2550 B.C.E., Gold, silver, lapis lazuli, shell, bitumen and wood (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour", "image_url": "https://img.youtube.com/vi/ZJm7Qgef3ks/hqdefault.jpg", "youtube_id": "ZJm7Qgef3ks", "content_kind": "Video", "readable_id": "great-lyre-from-the--king-s-grave---c--2650-2550-b-c-e"}, {"translated_youtube_id": "OY79AuGZDNI", "relative_url": "/video/victory-stele-of-naram-sin--2254-2218-b-c-e", "has_questions": false, "keywords": "Naram-Sin, Ancient Near East, Akkad, Akkadian, art history, history of art, smarthistory, Louvre", "ka_url": "http://www.khanacademy.org/video/victory-stele-of-naram-sin--2254-2218-b-c-e", "duration": 204, "translated_title": "Akkadian art: Victory Stele of Naram-Sin", "translated_description_html": "Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671422820", "description_html": "Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Akkadian art: Victory Stele of Naram-Sin", "progress_key": "v671422820", "edit_slug": "edit/v/671422820", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/victory-stele-of-naram-sin.html"}, "node_slug": "v/victory-stele-of-naram-sin--2254-2218-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OY79AuGZDNI.mp4/OY79AuGZDNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OY79AuGZDNI.mp4/OY79AuGZDNI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OY79AuGZDNI.m3u8/OY79AuGZDNI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OY79AuGZDNI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422820", "sha": "192feb9158092570a8632f563da5246f6e03d4e6", "translated_description": "Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/OY79AuGZDNI/hqdefault.jpg", "youtube_id": "OY79AuGZDNI", "content_kind": "Video", "readable_id": "victory-stele-of-naram-sin--2254-2218-b-c-e"}, {"translated_youtube_id": "G37qpVUzB1g", "relative_url": "/video/babylonian-mind", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/babylonian-mind", "duration": 207, "translated_title": "The Babylonian mind", "translated_description_html": "

Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.
<\/p>", "id": "x18feab9a", "description_html": "

Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.
<\/p>", "title": "The Babylonian mind", "progress_key": "vx18feab9a", "edit_slug": "edit/v/x18feab9a", "author_names": [], "deleted_mod_time": null, "description": "Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.", "extra_properties": {}, "node_slug": "v/babylonian-mind", "deleted": false, "backup_timestamp": "2013-10-05T14:48:26Z", "date_added": "2013-10-05T14:48:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G37qpVUzB1g.mp4/G37qpVUzB1g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G37qpVUzB1g.mp4/G37qpVUzB1g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G37qpVUzB1g.m3u8/G37qpVUzB1g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G37qpVUzB1g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx18feab9a", "sha": "4de9a7a3565514906c13b8904bdcfbdcabaa91c6", "translated_description": "Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.", "image_url": "https://img.youtube.com/vi/G37qpVUzB1g/hqdefault.jpg", "youtube_id": "G37qpVUzB1g", "content_kind": "Video", "readable_id": "babylonian-mind"}, {"translated_youtube_id": "_w5NGOHbgTw", "relative_url": "/video/law-code-stele-of-king-hammurabi--792-1750-b-c-e", "has_questions": false, "keywords": "Hammurabi, Ancient Near East, Musee du Louvre, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/law-code-stele-of-king-hammurabi--792-1750-b-c-e", "duration": 197, "translated_title": "Babylonian art: Law code Stele of King Hammurabi", "translated_description_html": "Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Musée du Louvre, Paris)\n\nA stele is a vertical stone monument or marker often inscribed with text or with relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671260980", "description_html": "Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Musée du Louvre, Paris)\n\nA stele is a vertical stone monument or marker often inscribed with text or with relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Babylonian art: Law code Stele of King Hammurabi", "progress_key": "v671260980", "edit_slug": "edit/v/671260980", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Musée du Louvre, Paris)\n\nA stele is a vertical stone monument or marker often inscribed with text or with relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/law-code-stele-of-king-hammurabi.html"}, "node_slug": "v/law-code-stele-of-king-hammurabi--792-1750-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_w5NGOHbgTw.mp4/_w5NGOHbgTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_w5NGOHbgTw.mp4/_w5NGOHbgTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_w5NGOHbgTw.m3u8/_w5NGOHbgTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_w5NGOHbgTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260980", "sha": "65512b3420fe7ef9884abd2c1f3c90de9741c943", "translated_description": "Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Musée du Louvre, Paris)\n\nA stele is a vertical stone monument or marker often inscribed with text or with relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/_w5NGOHbgTw/hqdefault.jpg", "youtube_id": "_w5NGOHbgTw", "content_kind": "Video", "readable_id": "law-code-stele-of-king-hammurabi--792-1750-b-c-e"}, {"translated_youtube_id": "iUotrPxq2pU", "relative_url": "/video/towers-of-babel", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/towers-of-babel", "duration": 269, "translated_title": "Towers of Babel ", "translated_description_html": "

with British Museum curator Irving Finkel
<\/p>", "id": "x6ab99001", "description_html": "

with British Museum curator Irving Finkel
<\/p>", "title": "Towers of Babel ", "progress_key": "vx6ab99001", "edit_slug": "edit/v/x6ab99001", "author_names": [], "deleted_mod_time": null, "description": "with British Museum curator Irving Finkel", "extra_properties": {}, "node_slug": "v/towers-of-babel", "deleted": false, "backup_timestamp": "2013-10-05T14:55:18Z", "date_added": "2013-10-05T14:55:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iUotrPxq2pU.mp4/iUotrPxq2pU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iUotrPxq2pU.mp4/iUotrPxq2pU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iUotrPxq2pU.m3u8/iUotrPxq2pU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iUotrPxq2pU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6ab99001", "sha": "0dcace97c153a44a423ec82cdf2f9312fc1d3fd9", "translated_description": "with British Museum curator Irving Finkel", "image_url": "https://img.youtube.com/vi/iUotrPxq2pU/hqdefault.jpg", "youtube_id": "iUotrPxq2pU", "content_kind": "Video", "readable_id": "towers-of-babel"}, {"translated_youtube_id": "J5iEY4hapMQ", "relative_url": "/video/ashurbanipal-hunting-lions--assyrian", "has_questions": false, "keywords": "assyrian assyria ancient ANE", "ka_url": "http://www.khanacademy.org/video/ashurbanipal-hunting-lions--assyrian", "duration": 354, "translated_title": "Ashurbanipal hunting lions (Assyrian)", "translated_description_html": "", "id": "x9e2c3f9f", "description_html": "", "title": "Ashurbanipal hunting lions (Assyrian)", "progress_key": "vx9e2c3f9f", "edit_slug": "edit/v/x9e2c3f9f", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-08-08T16:37:59Z", "description": "", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/assyrian-art.html"}, "node_slug": "v/ashurbanipal-hunting-lions--assyrian", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-08-08T16:37:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J5iEY4hapMQ.mp4/J5iEY4hapMQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J5iEY4hapMQ.mp4/J5iEY4hapMQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J5iEY4hapMQ.m3u8/J5iEY4hapMQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J5iEY4hapMQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9e2c3f9f", "sha": "cb3c08b57ac78a978ca2f8727cd60db3f8fe415f", "translated_description": "", "image_url": "https://img.youtube.com/vi/J5iEY4hapMQ/hqdefault.jpg", "youtube_id": "J5iEY4hapMQ", "content_kind": "Video", "readable_id": "ashurbanipal-hunting-lions--assyrian"}, {"translated_youtube_id": "4pwfuHY-AjI", "relative_url": "/video/human-headed-winged-lion-and-bull--lamassu---883--859-b-c-e", "has_questions": false, "keywords": "Smarthistory, Art History, Mesopotamia", "ka_url": "http://www.khanacademy.org/video/human-headed-winged-lion-and-bull--lamassu---883--859-b-c-e", "duration": 275, "translated_title": "Assyrian art: Human headed winged lion and bull (Lamassu)", "translated_description_html": "Human-headed winged lion and bull (lamassu), 883--859 B.C.E., Neo-Assyrian period, reign of Ashurnasirpal II, excavated at Nimrud (ancient Kalhu), northern Mesopotamia \n(Metropolitan Museum of Art)\nSpeakers: Monica Hahn, Brian Seymour", "id": "671711098", "description_html": "Human-headed winged lion and bull (lamassu), 883--859 B.C.E., Neo-Assyrian period, reign of Ashurnasirpal II, excavated at Nimrud (ancient Kalhu), northern Mesopotamia \n(Metropolitan Museum of Art)\nSpeakers: Monica Hahn, Brian Seymour", "title": "Assyrian art: Human headed winged lion and bull (Lamassu)", "progress_key": "v671711098", "edit_slug": "edit/v/671711098", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Human-headed winged lion and bull (lamassu), 883--859 B.C.E., Neo-Assyrian period, reign of Ashurnasirpal II, excavated at Nimrud (ancient Kalhu), northern Mesopotamia \n(Metropolitan Museum of Art)\nSpeakers: Monica Hahn, Brian Seymour", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/neo-assyrian-lamassu"}, "node_slug": "v/human-headed-winged-lion-and-bull--lamassu---883--859-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4pwfuHY-AjI.mp4/4pwfuHY-AjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4pwfuHY-AjI.mp4/4pwfuHY-AjI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4pwfuHY-AjI.m3u8/4pwfuHY-AjI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4pwfuHY-AjI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711098", "sha": "018dada028c2563fab61e598ccd95458a29ce22f", "translated_description": "Human-headed winged lion and bull (lamassu), 883--859 B.C.E., Neo-Assyrian period, reign of Ashurnasirpal II, excavated at Nimrud (ancient Kalhu), northern Mesopotamia \n(Metropolitan Museum of Art)\nSpeakers: Monica Hahn, Brian Seymour", "image_url": "https://img.youtube.com/vi/4pwfuHY-AjI/hqdefault.jpg", "youtube_id": "4pwfuHY-AjI", "content_kind": "Video", "readable_id": "human-headed-winged-lion-and-bull--lamassu---883--859-b-c-e"}, {"translated_youtube_id": "U2iZ83oIZH0", "relative_url": "/video/ishtar-gate-and-processional-way--reconstruction---babylon--c--575-b-c-e", "has_questions": false, "keywords": "dragons, aurochs, lion, Seven Wonders, Robert Koldewey, Reconstruction, Khan Academy, Google Art Project, Smarthistory, Art History, OER, Ishtar, Gate, Nebuchadnezzar II, Nebuchadnezzar, Biblical, Processional Way, Babylon, 575 B.C.E., glazed brick, Pergamon Museum, Berlin, faince, Ancient, Babylonia, tower of Babel", "ka_url": "http://www.khanacademy.org/video/ishtar-gate-and-processional-way--reconstruction---babylon--c--575-b-c-e", "duration": 410, "translated_title": "Neo-Babylonian art: Ishtar gate and Processional Way", "translated_description_html": "Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)", "id": "719474980", "description_html": "Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)", "title": "Neo-Babylonian art: Ishtar gate and Processional Way", "progress_key": "v719474980", "edit_slug": "edit/v/719474980", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ishtar-gate-and-processional-way"}, "node_slug": "v/ishtar-gate-and-processional-way--reconstruction---babylon--c--575-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-04-13T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U2iZ83oIZH0.mp4/U2iZ83oIZH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U2iZ83oIZH0.mp4/U2iZ83oIZH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U2iZ83oIZH0.m3u8/U2iZ83oIZH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U2iZ83oIZH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474980", "sha": "73ffbe9fda5fd079b37f1948375715d37c74abd5", "translated_description": "Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)", "image_url": "https://img.youtube.com/vi/U2iZ83oIZH0/hqdefault.jpg", "youtube_id": "U2iZ83oIZH0", "content_kind": "Video", "readable_id": "ishtar-gate-and-processional-way--reconstruction---babylon--c--575-b-c-e"}], "twitter_url": "", "translated_description": "Was writing invented to record poetry or great literature? Nope. Writing was invented to help keep track of beer and other goods and services! The ancient Sumerians were nothing if not practical. Ancient cultures established the first cities and large scale architecture. From the Gates of the City of Ancient Babylon, to the ancient code of laws instituted by King Hammurabi, the Ancient Near East is strangely distant but also remarkably familiar.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Was writing invented to record poetry or great literature? Nope. Writing was invented to help keep track of beer and other goods and services! The ancient Sumerians were nothing if not practical. Ancient cultures established the first cities and large scale architecture. From the Gates of the City of Ancient Babylon, to the ancient code of laws instituted by King Hammurabi, the Ancient Near East is strangely distant but also remarkably familiar.", "x_pos": 0.0, "node_slug": "ancient-near-east", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T20:17:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8a53deb4", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-near-east", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-near-east", "slug": "ancient-near-east", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0dbd1c9c12d1c7f4951cf839062946efb2ca46de", "standalone_title": "Art History: Ancient Near East", "y_pos": 0.0, "current_revision_key": "0dbd1c9c12d1c7f4951cf839062946efb2ca46de", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-egypt", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-egypt", "translated_standalone_title": "Art History: Ancient Egypt", "translated_title": "Ancient Egypt", "gplus_url": "", "id": "xa934c5d8", "old_key_name": "xpUi06ddNlSiqyTu_BE23X-lVJ3VfGmDuptTaLzu", "hide": false, "title": "Ancient Egypt", "child_data": [{"kind": "Article", "id": 1315008662}, {"kind": "Article", "id": "xa9870f52"}, {"kind": "Video", "id": "xd1512e30"}, {"kind": "Video", "id": 1360981775}, {"kind": "Article", "id": "x7f1e3991"}, {"kind": "Article", "id": "x9706e999"}, {"kind": "Article", "id": "xfc56f636"}, {"kind": "Article", "id": "xb1878887"}, {"kind": "Article", "id": "x7bf2d89a"}, {"kind": "Video", "id": 671563196}, {"kind": "Video", "id": "x05431aff"}, {"kind": "Video", "id": 952857531}, {"kind": "Video", "id": 1359146969}, {"kind": "Video", "id": 952915293}, {"kind": "Video", "id": "x9992358e"}, {"kind": "Video", "id": "x7c772e9a"}, {"kind": "Video", "id": 671563198}, {"kind": "Video", "id": 671459930}, {"kind": "Exercise", "id": "x93c35952"}], "children": [{"translated_youtube_id": "-MQ5dL9cQX0", "relative_url": "/video/the-mummification-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-mummification-process", "duration": 164, "translated_title": "The mummification process", "translated_description_html": "

Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xd1512e30", "description_html": "

Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The mummification process", "progress_key": "vxd1512e30", "edit_slug": "edit/v/xd1512e30", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/the-mummification-process", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.mp4/-MQ5dL9cQX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.mp4/-MQ5dL9cQX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.m3u8/-MQ5dL9cQX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-MQ5dL9cQX0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd1512e30", "sha": "5da7a49c04e8253e29dc9583cc00badf3e3bb427", "translated_description": "Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/-MQ5dL9cQX0/hqdefault.jpg", "youtube_id": "-MQ5dL9cQX0", "content_kind": "Video", "readable_id": "the-mummification-process"}, {"translated_youtube_id": "A_8yPgC9zQc", "relative_url": "/video/ancient-near-eastern-and-ancient-egyptian-art", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ancient-near-eastern-and-ancient-egyptian-art", "duration": 378, "translated_title": "Ancient Near Eastern and ancient Egyptian art", "translated_description_html": "

From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.<\/p>\n", "id": "1360981775", "description_html": "

From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.<\/p>\n", "title": "Ancient Near Eastern and ancient Egyptian art", "progress_key": "v1360981775", "edit_slug": "edit/v/1360981775", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.\n", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ancient-cultures.html"}, "node_slug": "v/ancient-near-eastern-and-ancient-egyptian-art", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-02-08T15:36:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A_8yPgC9zQc.mp4/A_8yPgC9zQc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A_8yPgC9zQc.mp4/A_8yPgC9zQc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A_8yPgC9zQc.m3u8/A_8yPgC9zQc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A_8yPgC9zQc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1360981775", "sha": "7564c15f3c699820493e14acf4b441343757b087", "translated_description": "From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.\n", "image_url": "https://img.youtube.com/vi/A_8yPgC9zQc/hqdefault.jpg", "youtube_id": "A_8yPgC9zQc", "content_kind": "Video", "readable_id": "ancient-near-eastern-and-ancient-egyptian-art"}, {"translated_youtube_id": "cxs1d3N60UI", "relative_url": "/video/the-seated-scribe---c--2620-2500-b-c-e", "has_questions": false, "keywords": "Seated Scribe, Louvre, smarthistory, art history, ancient egypt, egypt, scribe", "ka_url": "http://www.khanacademy.org/video/the-seated-scribe---c--2620-2500-b-c-e", "duration": 181, "translated_title": "Old Kingdom: Seated Scribe", "translated_description_html": "The Seated Scribe​, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Musée du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671563196", "description_html": "The Seated Scribe​, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Musée du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Old Kingdom: Seated Scribe", "progress_key": "v671563196", "edit_slug": "edit/v/671563196", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Seated Scribe​, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Musée du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/seated-scribe.html"}, "node_slug": "v/the-seated-scribe---c--2620-2500-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cxs1d3N60UI.mp4/cxs1d3N60UI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cxs1d3N60UI.mp4/cxs1d3N60UI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cxs1d3N60UI.m3u8/cxs1d3N60UI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cxs1d3N60UI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563196", "sha": "659c22d924126aa15747e34464c1d033c255099a", "translated_description": "The Seated Scribe​, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Musée du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/cxs1d3N60UI/hqdefault.jpg", "youtube_id": "cxs1d3N60UI", "content_kind": "Video", "readable_id": "the-seated-scribe---c--2620-2500-b-c-e"}, {"translated_youtube_id": "Q4Z3W1RXh_g", "relative_url": "/video/virtual-autopsy", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/virtual-autopsy", "duration": 416, "translated_title": "Virtual autopsy: exploring a natural mummy from early Egypt", "translated_description_html": "

Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.
<\/p>", "id": "x05431aff", "description_html": "

Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.
<\/p>", "title": "Virtual autopsy: exploring a natural mummy from early Egypt", "progress_key": "vx05431aff", "edit_slug": "edit/v/x05431aff", "author_names": [], "deleted_mod_time": null, "description": "Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.", "extra_properties": {}, "node_slug": "v/virtual-autopsy", "deleted": false, "backup_timestamp": "2013-10-05T12:08:51Z", "date_added": "2013-10-05T12:08:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q4Z3W1RXh_g.mp4/Q4Z3W1RXh_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q4Z3W1RXh_g.mp4/Q4Z3W1RXh_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q4Z3W1RXh_g.m3u8/Q4Z3W1RXh_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q4Z3W1RXh_g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx05431aff", "sha": "d599d5b06fad5ab60595198b0a9a3dca74da93d8", "translated_description": "Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.", "image_url": "https://img.youtube.com/vi/Q4Z3W1RXh_g/hqdefault.jpg", "youtube_id": "Q4Z3W1RXh_g", "content_kind": "Video", "readable_id": "virtual-autopsy"}, {"translated_youtube_id": "ryycDVWXDvc", "relative_url": "/video/house-altar-depicting-akhenaten--nefertiti-and-three-daughters", "has_questions": false, "keywords": "Nefertiti (Noble Person), House Altar, Akhenaten, Nefertiti, Egyptian Children, Royal Children, limestone, New Kingdom, Amarna, 18th dynasty, 1350 BCE, Ägyptisches, Egypt, Museum, Berlin, Ancient, monotheism, polytheism, Amun, Aten, Sun God, Family, King, Pharoah", "ka_url": "http://www.khanacademy.org/video/house-altar-depicting-akhenaten--nefertiti-and-three-daughters", "duration": 303, "translated_title": "New Kingdom: House Altar with Akhenaten, Nefertiti and Three Daughters", "translated_description_html": "House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (Ägyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)", "id": "952857531", "description_html": "House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (Ägyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)", "title": "New Kingdom: House Altar with Akhenaten, Nefertiti and Three Daughters", "progress_key": "v952857531", "edit_slug": "edit/v/952857531", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (Ägyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/house-altar-with-akhenaten-nefertiti-and-three-daughters"}, "node_slug": "v/house-altar-depicting-akhenaten--nefertiti-and-three-daughters", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-09T04:46:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ryycDVWXDvc.mp4/ryycDVWXDvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ryycDVWXDvc.mp4/ryycDVWXDvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ryycDVWXDvc.m3u8/ryycDVWXDvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ryycDVWXDvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952857531", "sha": "e4d08a60f60efa8f9bfd5e5b200f6519f21a62a5", "translated_description": "House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (Ägyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/ryycDVWXDvc/hqdefault.jpg", "youtube_id": "ryycDVWXDvc", "content_kind": "Video", "readable_id": "house-altar-depicting-akhenaten--nefertiti-and-three-daughters"}, {"translated_youtube_id": "j55j1NZoAKk", "relative_url": "/video/portrait-head-of-queen-tiye-with-a-crown-of-two-feathers", "has_questions": false, "keywords": "Tiye, Amarna Period, Dynasty 18, New Kingdom, Egypt", "ka_url": "http://www.khanacademy.org/video/portrait-head-of-queen-tiye-with-a-crown-of-two-feathers", "duration": 196, "translated_title": "Portrait head of Queen Tiye with a crown of two feathers", "translated_description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)", "id": "1359146969", "description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)", "title": "Portrait head of Queen Tiye with a crown of two feathers", "progress_key": "v1359146969", "edit_slug": "edit/v/1359146969", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)", "extra_properties": null, "node_slug": "v/portrait-head-of-queen-tiye-with-a-crown-of-two-feathers", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-02-07T21:15:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j55j1NZoAKk.mp4/j55j1NZoAKk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j55j1NZoAKk.mp4/j55j1NZoAKk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j55j1NZoAKk.m3u8/j55j1NZoAKk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j55j1NZoAKk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1359146969", "sha": "1b48411a654e9b92610f57c1a7b8a22bce7b8706", "translated_description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)", "image_url": "https://img.youtube.com/vi/j55j1NZoAKk/hqdefault.jpg", "youtube_id": "j55j1NZoAKk", "content_kind": "Video", "readable_id": "portrait-head-of-queen-tiye-with-a-crown-of-two-feathers"}, {"translated_youtube_id": "cZuYdIRAIAs", "relative_url": "/video/thutmose--bust-of-nefertiti--c--1340-bce", "has_questions": false, "keywords": "Model, Bust, Queen, Nefertiti, New Kingdom, 18th dynasty, 1340 BCE, limestone, plaster, Egyptian, Egypt, Neues Museum, Berlin Ancient, sculpture, art, Amarna, Pharaoh, Nile, Thutmose, Thotmose", "ka_url": "http://www.khanacademy.org/video/thutmose--bust-of-nefertiti--c--1340-bce", "duration": 241, "translated_title": "New Kingdom: Thutmose's bust of Nefertiti", "translated_description_html": "Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)", "id": "952915293", "description_html": "Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)", "title": "New Kingdom: Thutmose's bust of Nefertiti", "progress_key": "v952915293", "edit_slug": "edit/v/952915293", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/thutmoses-bust-of-nefertiti"}, "node_slug": "v/thutmose--bust-of-nefertiti--c--1340-bce", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-08-09T04:46:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cZuYdIRAIAs.mp4/cZuYdIRAIAs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cZuYdIRAIAs.mp4/cZuYdIRAIAs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cZuYdIRAIAs.m3u8/cZuYdIRAIAs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cZuYdIRAIAs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952915293", "sha": "3eb6aa68e5ebab0ec6f018ff62badd5e103b4ac7", "translated_description": "Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)", "image_url": "https://img.youtube.com/vi/cZuYdIRAIAs/hqdefault.jpg", "youtube_id": "cZuYdIRAIAs", "content_kind": "Video", "readable_id": "thutmose--bust-of-nefertiti--c--1340-bce"}, {"translated_youtube_id": "WceVwMdN0eE", "relative_url": "/video/judgement-in-the-presence-of-osiris--hunefer-s-book-of-the-dead", "has_questions": false, "keywords": "Hunefer, Osiris, Book of the Dead, 19th Dynasty, New Kingdom, 1275 B.C.E., papyrus, Thebes, Egypt, British Museum, scribe, Anubis, mummification, burial, afterlife, Ma'at, order, ethical judgement, truth, scales, Ammit, Ammut, demon, crocodile, lion, hippopotamus, Thoth, Ibis, Horus, falcon, eye of Horus, Imsety, Duamutef, Hapi, Qebehsenuef, Osiris, Atef, gods, Egyptian, Isis, mummy, Nephthys, Seth", "ka_url": "http://www.khanacademy.org/video/judgement-in-the-presence-of-osiris--hunefer-s-book-of-the-dead", "duration": 460, "translated_title": "Judgement in the presence of Osiris, Hunefer's Book of the Dead", "translated_description_html": "

Hunefer's Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum)<\/span>. <\/span>
<\/p>", "id": "x9992358e", "description_html": "

Hunefer's Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum)<\/span>. <\/span>
<\/p>", "title": "Judgement in the presence of Osiris, Hunefer's Book of the Dead", "progress_key": "vx9992358e", "edit_slug": "edit/v/x9992358e", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Hunefer's Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum). ", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/hunefers-book-of-the-dead.html"}, "node_slug": "v/judgement-in-the-presence-of-osiris--hunefer-s-book-of-the-dead", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-07-30T02:40:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WceVwMdN0eE.mp4/WceVwMdN0eE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WceVwMdN0eE.mp4/WceVwMdN0eE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WceVwMdN0eE.m3u8/WceVwMdN0eE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WceVwMdN0eE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9992358e", "sha": "e48e556be57e9219e12372da46f886e917e8ddfe", "translated_description": "Hunefer's Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum). ", "image_url": "https://img.youtube.com/vi/WceVwMdN0eE/hqdefault.jpg", "youtube_id": "WceVwMdN0eE", "content_kind": "Video", "readable_id": "judgement-in-the-presence-of-osiris--hunefer-s-book-of-the-dead"}, {"translated_youtube_id": "q0zlBUbcWWQ", "relative_url": "/video/papyrus-preserved-British-Museum", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/papyrus-preserved-British-Museum", "duration": 138, "translated_title": "Preparing an Ancient Egyptian papyrus for an exhibition at the British Museum", "translated_description_html": "

Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.<\/p>", "id": "x7c772e9a", "description_html": "

Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.<\/p>", "title": "Preparing an Ancient Egyptian papyrus for an exhibition at the British Museum", "progress_key": "vx7c772e9a", "edit_slug": "edit/v/x7c772e9a", "author_names": [], "deleted_mod_time": null, "description": "Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.", "extra_properties": {}, "node_slug": "v/papyrus-preserved-British-Museum", "deleted": false, "backup_timestamp": "2013-10-05T11:54:30Z", "date_added": "2013-10-05T11:54:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q0zlBUbcWWQ.mp4/q0zlBUbcWWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q0zlBUbcWWQ.mp4/q0zlBUbcWWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q0zlBUbcWWQ.m3u8/q0zlBUbcWWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q0zlBUbcWWQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7c772e9a", "sha": "43b33641d7f4c59872e8f7537777d5a28cf4d70e", "translated_description": "Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.", "image_url": "https://img.youtube.com/vi/q0zlBUbcWWQ/hqdefault.jpg", "youtube_id": "q0zlBUbcWWQ", "content_kind": "Video", "readable_id": "papyrus-preserved-British-Museum"}, {"translated_youtube_id": "PXUKfJ4XDk4", "relative_url": "/video/ramesses-ii--egypt--c--1250", "has_questions": false, "keywords": "Old Kingdom, Educational, Pharaoh", "ka_url": "http://www.khanacademy.org/video/ramesses-ii--egypt--c--1250", "duration": 573, "translated_title": "New Kingdom: Ramesses II", "translated_description_html": "Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html", "id": "671563198", "description_html": "Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html", "title": "New Kingdom: Ramesses II", "progress_key": "v671563198", "edit_slug": "edit/v/671563198", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ancient-egypt"}, "node_slug": "v/ramesses-ii--egypt--c--1250", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PXUKfJ4XDk4.mp4/PXUKfJ4XDk4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PXUKfJ4XDk4.mp4/PXUKfJ4XDk4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PXUKfJ4XDk4.m3u8/PXUKfJ4XDk4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PXUKfJ4XDk4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563198", "sha": "dbcc438d8655568feefc578b1e752ec9a80f023b", "translated_description": "Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html", "image_url": "https://img.youtube.com/vi/PXUKfJ4XDk4/hqdefault.jpg", "youtube_id": "PXUKfJ4XDk4", "content_kind": "Video", "readable_id": "ramesses-ii--egypt--c--1250"}, {"translated_youtube_id": "OFXY9-pec1I", "relative_url": "/video/rosetta-stone--196-b-c-e", "has_questions": false, "keywords": "rosetta stone, egypt, napoleon, smarthistory, art history, hieroglyphics, translation", "ka_url": "http://www.khanacademy.org/video/rosetta-stone--196-b-c-e", "duration": 236, "translated_title": "Ptolemaic: Rosetta Stone", "translated_description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671459930", "description_html": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Ptolemaic: Rosetta Stone", "progress_key": "v671459930", "edit_slug": "edit/v/671459930", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/rosetta-stone.html"}, "node_slug": "v/rosetta-stone--196-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.m3u8/OFXY9-pec1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OFXY9-pec1I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459930", "sha": "d7859da39ea6aac39634ff658433e44859ea0392", "translated_description": "Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/OFXY9-pec1I/hqdefault.jpg", "youtube_id": "OFXY9-pec1I", "content_kind": "Video", "readable_id": "rosetta-stone--196-b-c-e"}], "twitter_url": "", "translated_description": "Woody Allen famously said, “I don't want to achieve immortality through my work. I want to achieve it through not dying.” The ancient Egyptians on the other hand, confronted death head-on. In fact, the art of the ancient Egyptians was (for the most part) never meant to be seen by the eyes of the living—it was meant to benefit the dead in the afterlife. Throughout human history, art has been recognized for its ability to outlive us and has been used as a receptacle for our fears and hopes about our own mortality.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Woody Allen famously said, “I don't want to achieve immortality through my work. I want to achieve it through not dying.” The ancient Egyptians on the other hand, confronted death head-on. In fact, the art of the ancient Egyptians was (for the most part) never meant to be seen by the eyes of the living—it was meant to benefit the dead in the afterlife. Throughout human history, art has been recognized for its ability to outlive us and has been used as a receptacle for our fears and hopes about our own mortality.", "x_pos": 0.0, "node_slug": "ancient-egypt", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-30T02:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa934c5d8", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-egypt", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-egypt", "slug": "ancient-egypt", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0336fb357e4d438380c6b948b474b667efed1800", "standalone_title": "Art History: Ancient Egypt", "y_pos": 0.0, "current_revision_key": "0336fb357e4d438380c6b948b474b667efed1800", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-greece", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-greece", "translated_standalone_title": "Art History: Ancient Greece", "translated_title": "Ancient Greece", "gplus_url": "", "id": "x6832ba1d", "old_key_name": "EKQ_nBUDZNGzLuCzAb18tclIRsmVo1gz9hfMBdyG", "hide": false, "title": "Ancient Greece", "child_data": [{"kind": "Article", "id": "x2aafce2c"}, {"kind": "Video", "id": "x23435cb1"}, {"kind": "Video", "id": "xb0bd6c2a"}, {"kind": "Video", "id": 671711099}, {"kind": "Video", "id": 1064692619}, {"kind": "Video", "id": 1397435864}, {"kind": "Video", "id": 671260981}, {"kind": "Video", "id": "x5fe9ca9d"}, {"kind": "Video", "id": 671260982}, {"kind": "Video", "id": "x7375afe4"}, {"kind": "Video", "id": 1064657947}, {"kind": "Video", "id": 1159533851}, {"kind": "Video", "id": "x90058e80"}, {"kind": "Video", "id": 988889228}, {"kind": "Video", "id": 1168512577}, {"kind": "Video", "id": 671563199}, {"kind": "Video", "id": 671422819}, {"kind": "Video", "id": 669432577}, {"kind": "Video", "id": 671422822}, {"kind": "Video", "id": 1385508282}, {"kind": "Video", "id": "x9a648f06"}, {"kind": "Video", "id": 671539945}, {"kind": "Video", "id": 1159755289}, {"kind": "Video", "id": 671711102}, {"kind": "Video", "id": 671563200}, {"kind": "Video", "id": 719474979}, {"kind": "Video", "id": 988721865}, {"kind": "Video", "id": "x355b8254"}, {"kind": "Video", "id": 1165113617}, {"kind": "Video", "id": "xf3640cd8"}, {"kind": "Video", "id": 1359574073}, {"kind": "Video", "id": 671711103}, {"kind": "Exercise", "id": "x484b1754"}], "children": [{"translated_youtube_id": "XdXXK_PTkUU", "relative_url": "/video/greek-and-roman-art", "has_questions": false, "keywords": "art history, ancient greece, ancient rome", "ka_url": "http://www.khanacademy.org/video/greek-and-roman-art", "duration": 437, "translated_title": "Ancient Greek and Roman art", "translated_description_html": "", "id": "x23435cb1", "description_html": "", "title": "Ancient Greek and Roman art", "progress_key": "vx23435cb1", "edit_slug": "edit/v/x23435cb1", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ancient-greece-and-rome.html"}, "node_slug": "v/greek-and-roman-art", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-08-23T16:47:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XdXXK_PTkUU.mp4/XdXXK_PTkUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XdXXK_PTkUU.mp4/XdXXK_PTkUU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XdXXK_PTkUU.m3u8/XdXXK_PTkUU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XdXXK_PTkUU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx23435cb1", "sha": "f3f37618c1a0726b639b9a5cd64a09a80136fcd9", "translated_description": "", "image_url": "https://img.youtube.com/vi/XdXXK_PTkUU/hqdefault.jpg", "youtube_id": "XdXXK_PTkUU", "content_kind": "Video", "readable_id": "greek-and-roman-art"}, {"translated_youtube_id": "3gPINuYv1T8", "relative_url": "/video/conservation-of-antiquities", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-antiquities", "duration": 310, "translated_title": "Conservation of antiquities", "translated_description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "xb0bd6c2a", "description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of antiquities", "progress_key": "vxb0bd6c2a", "edit_slug": "edit/v/xb0bd6c2a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-antiquities", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.m3u8/3gPINuYv1T8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3gPINuYv1T8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb0bd6c2a", "sha": "ecaf253c0b7fbc2b1419fd69f1fc6953264ed7e3", "translated_description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/3gPINuYv1T8/hqdefault.jpg", "youtube_id": "3gPINuYv1T8", "content_kind": "Video", "readable_id": "conservation-of-antiquities"}, {"translated_youtube_id": "hfu1LZ8LTU0", "relative_url": "/video/krater--ca--750--700-b-c-e", "has_questions": false, "keywords": "geometric, Krater, smarthistory, art history, ancient Greece, Geometric period, Vase painting", "ka_url": "http://www.khanacademy.org/video/krater--ca--750--700-b-c-e", "duration": 267, "translated_title": "Geometric: Terracotta Krater", "translated_description_html": "Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.", "id": "671711099", "description_html": "Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.", "title": "Geometric: Terracotta Krater", "progress_key": "v671711099", "edit_slug": "edit/v/671711099", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/geometric-greek"}, "node_slug": "v/krater--ca--750--700-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hfu1LZ8LTU0.mp4/hfu1LZ8LTU0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hfu1LZ8LTU0.mp4/hfu1LZ8LTU0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hfu1LZ8LTU0.m3u8/hfu1LZ8LTU0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hfu1LZ8LTU0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711099", "sha": "e54aa9eeabd92054c3ebf2079ade4175a0917c89", "translated_description": "Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.", "image_url": "https://img.youtube.com/vi/hfu1LZ8LTU0/hqdefault.jpg", "youtube_id": "hfu1LZ8LTU0", "content_kind": "Video", "readable_id": "krater--ca--750--700-b-c-e"}, {"translated_youtube_id": "k2fdtepbkz8", "relative_url": "/video/exekias--attic-black-figure-amphora-with-ajax-and-achilles-playing-a-game", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/exekias--attic-black-figure-amphora-with-ajax-and-achilles-playing-a-game", "duration": 403, "translated_title": "Archaic: Exekias, Attic black figure amphora with Ajax and Achilles playing a game", "translated_description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)", "id": "1064692619", "description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)", "title": "Archaic: Exekias, Attic black figure amphora with Ajax and Achilles playing a game", "progress_key": "v1064692619", "edit_slug": "edit/v/1064692619", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/exekias-attic-black-figure-amphora"}, "node_slug": "v/exekias--attic-black-figure-amphora-with-ajax-and-achilles-playing-a-game", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-01T18:01:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/k2fdtepbkz8.mp4/k2fdtepbkz8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k2fdtepbkz8.mp4/k2fdtepbkz8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/k2fdtepbkz8.m3u8/k2fdtepbkz8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=k2fdtepbkz8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064692619", "sha": "788f158199ae262e1e0d146e535c2a51e78716e1", "translated_description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)", "image_url": "https://img.youtube.com/vi/k2fdtepbkz8/hqdefault.jpg", "youtube_id": "k2fdtepbkz8", "content_kind": "Video", "readable_id": "exekias--attic-black-figure-amphora-with-ajax-and-achilles-playing-a-game"}, {"translated_youtube_id": "tTF5ZY6aitg", "relative_url": "/video/exekias-dionysos-kylix", "has_questions": false, "keywords": "exekias, ancient greece, archaic, vase painting,", "ka_url": "http://www.khanacademy.org/video/exekias-dionysos-kylix", "duration": 232, "translated_title": "Archaic: Exekias, Dionysos Kylix, c. 530 B.C.E.", "translated_description_html": "Exekias, Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "1397435864", "description_html": "Exekias, Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Archaic: Exekias, Dionysos Kylix, c. 530 B.C.E.", "progress_key": "v1397435864", "edit_slug": "edit/v/1397435864", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Exekias, Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://www.smarthistory.khanacademy.org/exekias-dionysos-kylix.html"}, "node_slug": "v/exekias-dionysos-kylix", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-21T01:25:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tTF5ZY6aitg.mp4/tTF5ZY6aitg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tTF5ZY6aitg.mp4/tTF5ZY6aitg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tTF5ZY6aitg.m3u8/tTF5ZY6aitg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tTF5ZY6aitg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1397435864", "sha": "844ae2e31d866cec064fb9332223ae84a51fa3d5", "translated_description": "Exekias, Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/tTF5ZY6aitg/hqdefault.jpg", "youtube_id": "tTF5ZY6aitg", "content_kind": "Video", "readable_id": "exekias-dionysos-kylix"}, {"translated_youtube_id": "BDo3L3vqE6M", "relative_url": "/video/mixing-vessel-with-odysseus-escaping-from-the-cyclops-s-cave--550-500-b-c-e", "has_questions": false, "keywords": "getty, art, art history, ancient greece, classical, Greek, ancient, pottery, smarthistory", "ka_url": "http://www.khanacademy.org/video/mixing-vessel-with-odysseus-escaping-from-the-cyclops-s-cave--550-500-b-c-e", "duration": 502, "translated_title": "Archaic: Mixing Vessel with Odysseus escaping from the Cyclops's cave", "translated_description_html": "Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops's Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "id": "671260981", "description_html": "Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops's Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "title": "Archaic: Mixing Vessel with Odysseus escaping from the Cyclops's cave", "progress_key": "v671260981", "edit_slug": "edit/v/671260981", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops's Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Odysseus-mixing-vessel"}, "node_slug": "v/mixing-vessel-with-odysseus-escaping-from-the-cyclops-s-cave--550-500-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BDo3L3vqE6M.mp4/BDo3L3vqE6M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BDo3L3vqE6M.mp4/BDo3L3vqE6M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BDo3L3vqE6M.m3u8/BDo3L3vqE6M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BDo3L3vqE6M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260981", "sha": "0121a55dd72384ce055c45d86c39fe6556f63a63", "translated_description": "Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops's Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/BDo3L3vqE6M/hqdefault.jpg", "youtube_id": "BDo3L3vqE6M", "content_kind": "Video", "readable_id": "mixing-vessel-with-odysseus-escaping-from-the-cyclops-s-cave--550-500-b-c-e"}, {"translated_youtube_id": "WhPW50r07L8", "relative_url": "/video/making-greek-vases", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/making-greek-vases", "duration": 260, "translated_title": "Making Greek vases", "translated_description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "id": "x5fe9ca9d", "description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "title": "Making Greek vases", "progress_key": "vx5fe9ca9d", "edit_slug": "edit/v/x5fe9ca9d", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-greek-vases", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.m3u8/WhPW50r07L8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WhPW50r07L8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5fe9ca9d", "sha": "b9799a7f980c1833a0b0dabdb36f3ec5dc13a25e", "translated_description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WhPW50r07L8/hqdefault.jpg", "youtube_id": "WhPW50r07L8", "content_kind": "Video", "readable_id": "making-greek-vases"}, {"translated_youtube_id": "JCTPh_QDlCY", "relative_url": "/video/kouros--youth---archaic-greek--c--590--580-b-c-e", "has_questions": false, "keywords": "Kouros, Ancient Greece, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/kouros--youth---archaic-greek--c--590--580-b-c-e", "duration": 223, "translated_title": "Archaic: New York Kouros", "translated_description_html": "Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour", "id": "671260982", "description_html": "Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour", "title": "Archaic: New York Kouros", "progress_key": "v671260982", "edit_slug": "edit/v/671260982", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/new-york-kouros"}, "node_slug": "v/kouros--youth---archaic-greek--c--590--580-b-c-e", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-03-20T19:11:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JCTPh_QDlCY.mp4/JCTPh_QDlCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JCTPh_QDlCY.mp4/JCTPh_QDlCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JCTPh_QDlCY.m3u8/JCTPh_QDlCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JCTPh_QDlCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260982", "sha": "b177ef53e9767248a85298de3d266c82fb3a9e98", "translated_description": "Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour", "image_url": "https://img.youtube.com/vi/JCTPh_QDlCY/hqdefault.jpg", "youtube_id": "JCTPh_QDlCY", "content_kind": "Video", "readable_id": "kouros--youth---archaic-greek--c--590--580-b-c-e"}, {"translated_youtube_id": "nrRJkzXl4a4", "relative_url": "/video/the-classical-orders", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/the-classical-orders", "duration": 668, "translated_title": "The classical orders", "translated_description_html": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "id": "x7375afe4", "description_html": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "title": "The classical orders", "progress_key": "vx7375afe4", "edit_slug": "edit/v/x7375afe4", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-classical-orders.html"}, "node_slug": "v/the-classical-orders", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-05-21T01:25:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.mp4/nrRJkzXl4a4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.mp4/nrRJkzXl4a4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nrRJkzXl4a4.m3u8/nrRJkzXl4a4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nrRJkzXl4a4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7375afe4", "sha": "e06028b0425195ee6738b6d3ac583a9c5f85b633", "translated_description": "The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/nrRJkzXl4a4/hqdefault.jpg", "youtube_id": "nrRJkzXl4a4", "content_kind": "Video", "readable_id": "the-classical-orders"}, {"translated_youtube_id": "_tNnI_w6TTQ", "relative_url": "/video/ancient-greek-temples-at-paestum", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ancient-greek-temples-at-paestum", "duration": 392, "translated_title": "Archaic and early classical: Ancient Greek temples at Paestum, Italy", "translated_description_html": "Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker", "id": "1064657947", "description_html": "Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker", "title": "Archaic and early classical: Ancient Greek temples at Paestum, Italy", "progress_key": "v1064657947", "edit_slug": "edit/v/1064657947", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/ancient-greek-temples-at-paestum-italy"}, "node_slug": "v/ancient-greek-temples-at-paestum", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-10-01T18:01:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_tNnI_w6TTQ.mp4/_tNnI_w6TTQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_tNnI_w6TTQ.mp4/_tNnI_w6TTQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_tNnI_w6TTQ.m3u8/_tNnI_w6TTQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_tNnI_w6TTQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064657947", "sha": "c4f5cad1a93e000275d01be721cac11c7b5abf06", "translated_description": "Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/_tNnI_w6TTQ/hqdefault.jpg", "youtube_id": "_tNnI_w6TTQ", "content_kind": "Video", "readable_id": "ancient-greek-temples-at-paestum"}, {"translated_youtube_id": "pdqOIg_QYSc", "relative_url": "/video/east-and-west-pediments-from-the-temple-of-aphaia--aegina--c--490-480-b-c-e", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/east-and-west-pediments-from-the-temple-of-aphaia--aegina--c--490-480-b-c-e", "duration": 880, "translated_title": "Archaic and early classical: East and West Pediments, Temple of Aphaia, Aegina", "translated_description_html": "East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1159533851", "description_html": "East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Archaic and early classical: East and West Pediments, Temple of Aphaia, Aegina", "progress_key": "v1159533851", "edit_slug": "edit/v/1159533851", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/east-and-west-pediments-from-the-temple-of-aphaia-aegina"}, "node_slug": "v/east-and-west-pediments-from-the-temple-of-aphaia--aegina--c--490-480-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-11-19T19:31:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pdqOIg_QYSc.mp4/pdqOIg_QYSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pdqOIg_QYSc.mp4/pdqOIg_QYSc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pdqOIg_QYSc.m3u8/pdqOIg_QYSc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pdqOIg_QYSc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159533851", "sha": "218a1c6e80851e05ef84c7bbe51d438a83161749", "translated_description": "East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pdqOIg_QYSc/hqdefault.jpg", "youtube_id": "pdqOIg_QYSc", "content_kind": "Video", "readable_id": "east-and-west-pediments-from-the-temple-of-aphaia--aegina--c--490-480-b-c-e"}, {"translated_youtube_id": "7UsYHo5iarM", "relative_url": "/video/tracing-colors-of-ancient-sculpture", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tracing-colors-of-ancient-sculpture", "duration": 188, "translated_title": "Tracing the colors of ancient sculpture", "translated_description_html": "

Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+<\/a>
<\/p>", "id": "x90058e80", "description_html": "

Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+<\/a>
<\/p>", "title": "Tracing the colors of ancient sculpture", "progress_key": "vx90058e80", "edit_slug": "edit/v/x90058e80", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+", "extra_properties": {}, "node_slug": "v/tracing-colors-of-ancient-sculpture", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.mp4/7UsYHo5iarM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.mp4/7UsYHo5iarM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.m3u8/7UsYHo5iarM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7UsYHo5iarM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx90058e80", "sha": "3d31013fd54e113c7f1d5e5ef74a3308347cfa4d", "translated_description": "Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+", "image_url": "https://img.youtube.com/vi/7UsYHo5iarM/hqdefault.jpg", "youtube_id": "7UsYHo5iarM", "content_kind": "Video", "readable_id": "tracing-colors-of-ancient-sculpture"}, {"translated_youtube_id": "EAR9RAMg9NY", "relative_url": "/video/polykleitos--doryphoros--spear-bearer", "has_questions": false, "keywords": "art history, smarthistory, khan academy, doryphoros, polykleitos, ancient greek art, classical art, contrapposto, Canon", "ka_url": "http://www.khanacademy.org/video/polykleitos--doryphoros--spear-bearer", "duration": 308, "translated_title": "Early Classical: Polykleitos, Doryphoros (Spear-Bearer)", "translated_description_html": "Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "988889228", "description_html": "Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Early Classical: Polykleitos, Doryphoros (Spear-Bearer)", "progress_key": "v988889228", "edit_slug": "edit/v/988889228", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/classical-greek"}, "node_slug": "v/polykleitos--doryphoros--spear-bearer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-22T19:17:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EAR9RAMg9NY.mp4/EAR9RAMg9NY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EAR9RAMg9NY.mp4/EAR9RAMg9NY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EAR9RAMg9NY.m3u8/EAR9RAMg9NY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EAR9RAMg9NY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v988889228", "sha": "f120b3b3110b548fb425eb5f30b408307ea8f31b", "translated_description": "Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/EAR9RAMg9NY/hqdefault.jpg", "youtube_id": "EAR9RAMg9NY", "content_kind": "Video", "readable_id": "polykleitos--doryphoros--spear-bearer"}, {"translated_youtube_id": "OhJKDqZgNXg", "relative_url": "/video/myron--discobolus--discus-thrower---roman-copy-of-an-ancient-greek-bronze-from-c--450--b-c-e", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/myron--discobolus--discus-thrower---roman-copy-of-an-ancient-greek-bronze-from-c--450--b-c-e", "duration": 226, "translated_title": "Classical: Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze", "translated_description_html": "Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450 B.C.E., Classical Period (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1168512577", "description_html": "Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450 B.C.E., Classical Period (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Classical: Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze", "progress_key": "v1168512577", "edit_slug": "edit/v/1168512577", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450 B.C.E., Classical Period (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/myrons-discobolus"}, "node_slug": "v/myron--discobolus--discus-thrower---roman-copy-of-an-ancient-greek-bronze-from-c--450--b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-24T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OhJKDqZgNXg.mp4/OhJKDqZgNXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OhJKDqZgNXg.mp4/OhJKDqZgNXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OhJKDqZgNXg.m3u8/OhJKDqZgNXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OhJKDqZgNXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1168512577", "sha": "f585fd20e73965739c181fc72b6fb5e5457353a9", "translated_description": "Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450 B.C.E., Classical Period (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/OhJKDqZgNXg/hqdefault.jpg", "youtube_id": "OhJKDqZgNXg", "content_kind": "Video", "readable_id": "myron--discobolus--discus-thrower---roman-copy-of-an-ancient-greek-bronze-from-c--450--b-c-e"}, {"translated_youtube_id": "KzZF1lP4Rbk", "relative_url": "/video/phidias-----parthenon-frieze--c--438-32-b-c-e", "has_questions": false, "keywords": "parthenon, elgin marbles, british museum, art history, history of art, frieze, pan-athenaic procession, athens", "ka_url": "http://www.khanacademy.org/video/phidias-----parthenon-frieze--c--438-32-b-c-e", "duration": 322, "translated_title": "Classical: Parthenon frieze", "translated_description_html": "Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "671563199", "description_html": "Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Classical: Parthenon frieze", "progress_key": "v671563199", "edit_slug": "edit/v/671563199", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/parthenon-frieze"}, "node_slug": "v/phidias-----parthenon-frieze--c--438-32-b-c-e", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:11:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KzZF1lP4Rbk.mp4/KzZF1lP4Rbk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KzZF1lP4Rbk.mp4/KzZF1lP4Rbk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KzZF1lP4Rbk.m3u8/KzZF1lP4Rbk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KzZF1lP4Rbk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563199", "sha": "041df5aaad10b90d328ca09ac373fc325ec4f6c8", "translated_description": "Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/KzZF1lP4Rbk/hqdefault.jpg", "youtube_id": "KzZF1lP4Rbk", "content_kind": "Video", "readable_id": "phidias-----parthenon-frieze--c--438-32-b-c-e"}, {"translated_youtube_id": "Ip6hmC2KIug", "relative_url": "/video/phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e", "has_questions": false, "keywords": "Parthenon, pediment, athens, acropolis, Smarthistory, art history, art, sculpture, Greece, classical, Classical antiquity", "ka_url": "http://www.khanacademy.org/video/phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e", "duration": 299, "translated_title": "Classical: Sculpture from the Parthenon's east pediment", "translated_description_html": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671422819", "description_html": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Classical: Sculpture from the Parthenon's east pediment", "progress_key": "v671422819", "edit_slug": "edit/v/671422819", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Sculpture-from-the-Parthenons-East-Pediment"}, "node_slug": "v/phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.mp4/Ip6hmC2KIug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.mp4/Ip6hmC2KIug.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.m3u8/Ip6hmC2KIug.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ip6hmC2KIug&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422819", "sha": "9cf07deb84fd9040d2e44dc7a28f20c6a05b74c6", "translated_description": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Ip6hmC2KIug/hqdefault.jpg", "youtube_id": "Ip6hmC2KIug", "content_kind": "Video", "readable_id": "phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e"}, {"translated_youtube_id": "XXl5h257iBA", "relative_url": "/video/battle-of-the-lapiths-and-centaurs--parthenon-metope--c--440-b-c-e", "has_questions": false, "keywords": "metope, Athens, Acropolis", "ka_url": "http://www.khanacademy.org/video/battle-of-the-lapiths-and-centaurs--parthenon-metope--c--440-b-c-e", "duration": 403, "translated_title": "Classical: Parthenon Metopes", "translated_description_html": "Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "669432577", "description_html": "Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Classical: Parthenon Metopes", "progress_key": "v669432577", "edit_slug": "edit/v/669432577", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-parthenon-metopes"}, "node_slug": "v/battle-of-the-lapiths-and-centaurs--parthenon-metope--c--440-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XXl5h257iBA.mp4/XXl5h257iBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XXl5h257iBA.mp4/XXl5h257iBA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XXl5h257iBA.m3u8/XXl5h257iBA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XXl5h257iBA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432577", "sha": "1c79b8ce1ee7c837aa3c0f2e0c5981c9642e8a37", "translated_description": "Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/XXl5h257iBA/hqdefault.jpg", "youtube_id": "XXl5h257iBA", "content_kind": "Video", "readable_id": "battle-of-the-lapiths-and-centaurs--parthenon-metope--c--440-b-c-e"}, {"translated_youtube_id": "X872rmThCF8", "relative_url": "/video/caryatid---ionic-column--erechtheion--421-407-b-c-e", "has_questions": false, "keywords": "athens, acropolis, erectheion, elgin marbles, british museum, Parthenon", "ka_url": "http://www.khanacademy.org/video/caryatid---ionic-column--erechtheion--421-407-b-c-e", "duration": 254, "translated_title": "Classical: Caryatid and column from the Erechtheion", "translated_description_html": "Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671422822", "description_html": "Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Classical: Caryatid and column from the Erechtheion", "progress_key": "v671422822", "edit_slug": "edit/v/671422822", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/erechtheion-caryatid-and-column"}, "node_slug": "v/caryatid---ionic-column--erechtheion--421-407-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X872rmThCF8.mp4/X872rmThCF8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X872rmThCF8.mp4/X872rmThCF8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X872rmThCF8.m3u8/X872rmThCF8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X872rmThCF8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422822", "sha": "427ca6bf9fbad3be884b32e831e26c958925e436", "translated_description": "Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/X872rmThCF8/hqdefault.jpg", "youtube_id": "X872rmThCF8", "content_kind": "Video", "readable_id": "caryatid---ionic-column--erechtheion--421-407-b-c-e"}, {"translated_youtube_id": "T-Yv4mp5yp8", "relative_url": "/video/lysippos-farnese-hercules", "has_questions": false, "keywords": "Lysippos, Hercules, Ancient Greece, Late Classical,", "ka_url": "http://www.khanacademy.org/video/lysippos-farnese-hercules", "duration": 388, "translated_title": "Late classical: Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)", "translated_description_html": "Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1385508282", "description_html": "Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Late classical: Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)", "progress_key": "v1385508282", "edit_slug": "edit/v/1385508282", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lysippos-farnese-hercules.html"}, "node_slug": "v/lysippos-farnese-hercules", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-02-17T00:03:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T-Yv4mp5yp8.mp4/T-Yv4mp5yp8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T-Yv4mp5yp8.mp4/T-Yv4mp5yp8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T-Yv4mp5yp8.m3u8/T-Yv4mp5yp8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T-Yv4mp5yp8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1385508282", "sha": "1a85f9a958e994bcd8006681799139b3fb142396", "translated_description": "Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/T-Yv4mp5yp8/hqdefault.jpg", "youtube_id": "T-Yv4mp5yp8", "content_kind": "Video", "readable_id": "lysippos-farnese-hercules"}, {"translated_youtube_id": "REeBUSYRzRo", "relative_url": "/video/lysippos--apoxyomenos--scraper---c--330-b-c-e---roman-copy", "has_questions": false, "keywords": "lysippos, Apoxyomenos, art history", "ka_url": "http://www.khanacademy.org/video/lysippos--apoxyomenos--scraper---c--330-b-c-e---roman-copy", "duration": 256, "translated_title": "Late classical: Lysippos, Apoxyomenos (Scraper), c. 330 B.C.E. (Roman copy)", "translated_description_html": "

Roman copy after a bronze statue from c. 330 B.C.E., 6' 9" high (Vatican Museums)<\/p>\n", "id": "x9a648f06", "description_html": "

Roman copy after a bronze statue from c. 330 B.C.E., 6' 9" high (Vatican Museums)<\/p>\n", "title": "Late classical: Lysippos, Apoxyomenos (Scraper), c. 330 B.C.E. (Roman copy)", "progress_key": "vx9a648f06", "edit_slug": "edit/v/x9a648f06", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Roman copy after a bronze statue from c. 330 B.C.E., 6' 9\" high (Vatican Museums)\n", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lysippos-apoxyomenos.html"}, "node_slug": "v/lysippos--apoxyomenos--scraper---c--330-b-c-e---roman-copy", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-09-10T18:51:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/REeBUSYRzRo.mp4/REeBUSYRzRo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/REeBUSYRzRo.mp4/REeBUSYRzRo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/REeBUSYRzRo.m3u8/REeBUSYRzRo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=REeBUSYRzRo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9a648f06", "sha": "a33b773e1ecc1e8aa6b7fba094f00c5d05a9f6e3", "translated_description": "Roman copy after a bronze statue from c. 330 B.C.E., 6' 9\" high (Vatican Museums)\n", "image_url": "https://img.youtube.com/vi/REeBUSYRzRo/hqdefault.jpg", "youtube_id": "REeBUSYRzRo", "content_kind": "Video", "readable_id": "lysippos--apoxyomenos--scraper---c--330-b-c-e---roman-copy"}, {"translated_youtube_id": "hXQa7psqSTY", "relative_url": "/video/unknown-sculptor--venus--4th-century-b-c-e", "has_questions": false, "keywords": "Getty, Venus, art, art history, smarthistory, sculpture, ancient greece, classical, Aphrodite", "ka_url": "http://www.khanacademy.org/video/unknown-sculptor--venus--4th-century-b-c-e", "duration": 549, "translated_title": "Late classical: After Praxiteles, Venus (Roman Copy)", "translated_description_html": "Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "id": "671539945", "description_html": "Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "title": "Late classical: After Praxiteles, Venus (Roman Copy)", "progress_key": "v671539945", "edit_slug": "edit/v/671539945", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/after-praxiteles-venus-roman-copy"}, "node_slug": "v/unknown-sculptor--venus--4th-century-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hXQa7psqSTY.mp4/hXQa7psqSTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hXQa7psqSTY.mp4/hXQa7psqSTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hXQa7psqSTY.m3u8/hXQa7psqSTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hXQa7psqSTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539945", "sha": "f22f852d9669c4f48a2e394d1a80c4cf6c8862af", "translated_description": "Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/hXQa7psqSTY/hqdefault.jpg", "youtube_id": "hXQa7psqSTY", "content_kind": "Video", "readable_id": "unknown-sculptor--venus--4th-century-b-c-e"}, {"translated_youtube_id": "KQ63wu7lsXo", "relative_url": "/video/barberini-faun--c--220-b-c-e", "has_questions": false, "keywords": "hellenistic, greek, art, sculpture, mythology", "ka_url": "http://www.khanacademy.org/video/barberini-faun--c--220-b-c-e", "duration": 358, "translated_title": "Hellenistic: Barberini Faun", "translated_description_html": "Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1159755289", "description_html": "Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Hellenistic: Barberini Faun", "progress_key": "v1159755289", "edit_slug": "edit/v/1159755289", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/barberini-faun-c.-220-b.c.e."}, "node_slug": "v/barberini-faun--c--220-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-19T19:31:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KQ63wu7lsXo.mp4/KQ63wu7lsXo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KQ63wu7lsXo.mp4/KQ63wu7lsXo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KQ63wu7lsXo.m3u8/KQ63wu7lsXo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KQ63wu7lsXo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159755289", "sha": "faa2d3363887b2e1a435dd2fc50a50f61c400889", "translated_description": "Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/KQ63wu7lsXo/hqdefault.jpg", "youtube_id": "KQ63wu7lsXo", "content_kind": "Video", "readable_id": "barberini-faun--c--220-b-c-e"}, {"translated_youtube_id": "3M4pu6YtzJU", "relative_url": "/video/dying-gaul--c--220-b-c-e", "has_questions": false, "keywords": "Art, Art History, Smarthistory, Hellenistic, Gaul, Dying Gaul, Greece, Greek Art, Ancient Greece, Sculpture", "ka_url": "http://www.khanacademy.org/video/dying-gaul--c--220-b-c-e", "duration": 212, "translated_title": "Hellenistic: Dying Gaul", "translated_description_html": "Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671711102", "description_html": "Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Hellenistic: Dying Gaul", "progress_key": "v671711102", "edit_slug": "edit/v/671711102", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/dying-gaul"}, "node_slug": "v/dying-gaul--c--220-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3M4pu6YtzJU.mp4/3M4pu6YtzJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3M4pu6YtzJU.mp4/3M4pu6YtzJU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3M4pu6YtzJU.m3u8/3M4pu6YtzJU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3M4pu6YtzJU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711102", "sha": "7dcfbfcb18f5c74024eaab4c8579dc8075bfd226", "translated_description": "Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/3M4pu6YtzJU/hqdefault.jpg", "youtube_id": "3M4pu6YtzJU", "content_kind": "Video", "readable_id": "dying-gaul--c--220-b-c-e"}, {"translated_youtube_id": "TPM1LuW3Y5w", "relative_url": "/video/nike--winged-victory--of-samothrace--c--190-b-c-e", "has_questions": false, "keywords": "Nike of Samothrace, Louvre, Art History, Paris", "ka_url": "http://www.khanacademy.org/video/nike--winged-victory--of-samothrace--c--190-b-c-e", "duration": 166, "translated_title": "Hellenistic: Nike of Samothrace", "translated_description_html": "Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Musée du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau​, the French Vice-Consul to Turkey. \n\nPlease note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671563200", "description_html": "Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Musée du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau​, the French Vice-Consul to Turkey. \n\nPlease note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Hellenistic: Nike of Samothrace", "progress_key": "v671563200", "edit_slug": "edit/v/671563200", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Musée du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau​, the French Vice-Consul to Turkey. \n\nPlease note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/nike-of-samothrace"}, "node_slug": "v/nike--winged-victory--of-samothrace--c--190-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TPM1LuW3Y5w.mp4/TPM1LuW3Y5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TPM1LuW3Y5w.mp4/TPM1LuW3Y5w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TPM1LuW3Y5w.m3u8/TPM1LuW3Y5w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TPM1LuW3Y5w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563200", "sha": "14191f602adda3232796c32bdcba439b5caa0ba0", "translated_description": "Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Musée du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau​, the French Vice-Consul to Turkey. \n\nPlease note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/TPM1LuW3Y5w/hqdefault.jpg", "youtube_id": "TPM1LuW3Y5w", "content_kind": "Video", "readable_id": "nike--winged-victory--of-samothrace--c--190-b-c-e"}, {"translated_youtube_id": "L3SIooVHV8E", "relative_url": "/video/the-pergamon-altar--c--200-150-b-c-e", "has_questions": false, "keywords": "Smarthistory, Ancient greek art, Athena, Zeus, Gigantomachy, Berlin, Pergamon Museum, Hellenistic, Khan Academy, art history, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/the-pergamon-altar--c--200-150-b-c-e", "duration": 530, "translated_title": "Hellenistic: The Pergamon altar", "translated_description_html": "The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "719474979", "description_html": "The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Hellenistic: The Pergamon altar", "progress_key": "v719474979", "edit_slug": "edit/v/719474979", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-pergamon-altar1"}, "node_slug": "v/the-pergamon-altar--c--200-150-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-04-13T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L3SIooVHV8E.mp4/L3SIooVHV8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L3SIooVHV8E.mp4/L3SIooVHV8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L3SIooVHV8E.m3u8/L3SIooVHV8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L3SIooVHV8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474979", "sha": "79824d2eae8b5d86a9e19e70099641ace1db695e", "translated_description": "The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/L3SIooVHV8E/hqdefault.jpg", "youtube_id": "L3SIooVHV8E", "content_kind": "Video", "readable_id": "the-pergamon-altar--c--200-150-b-c-e"}, {"translated_youtube_id": "FvsSPJoJB3k", "relative_url": "/video/apollonius--boxer-at-rest--c--100-b-c-e", "has_questions": false, "keywords": "Apollonius, Boxer at Rest, Boxer, Boxing, 100 B.C.E., bronze, Palazzo Massimo, Museo Nazionale Romano, Rome, Greek, Hellenistic, sculpture, art, art history", "ka_url": "http://www.khanacademy.org/video/apollonius--boxer-at-rest--c--100-b-c-e", "duration": 254, "translated_title": "Hellenistic: Apollonius, Boxer at Rest", "translated_description_html": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "988721865", "description_html": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Hellenistic: Apollonius, Boxer at Rest", "progress_key": "v988721865", "edit_slug": "edit/v/988721865", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/apolloniuss-boxer-at-rest"}, "node_slug": "v/apollonius--boxer-at-rest--c--100-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-08-22T19:36:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.mp4/FvsSPJoJB3k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.mp4/FvsSPJoJB3k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FvsSPJoJB3k.m3u8/FvsSPJoJB3k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FvsSPJoJB3k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v988721865", "sha": "05e221c83f498eb69603f53c3f5486f17a5a5ffe", "translated_description": "Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/FvsSPJoJB3k/hqdefault.jpg", "youtube_id": "FvsSPJoJB3k", "content_kind": "Video", "readable_id": "apollonius--boxer-at-rest--c--100-b-c-e"}, {"translated_youtube_id": "4AR_KftDRs4", "relative_url": "/video/casting-bronze-indirect-lost-wax", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/casting-bronze-indirect-lost-wax", "duration": 370, "translated_title": "Casting bronze: indirect lost-wax method", "translated_description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "id": "x355b8254", "description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "title": "Casting bronze: indirect lost-wax method", "progress_key": "vx355b8254", "edit_slug": "edit/v/x355b8254", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/casting-bronze-indirect-lost-wax", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.m3u8/4AR_KftDRs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4AR_KftDRs4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx355b8254", "sha": "cd85e46a964d6e2b38f63b348d5c1899487ef3b0", "translated_description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/4AR_KftDRs4/hqdefault.jpg", "youtube_id": "4AR_KftDRs4", "content_kind": "Video", "readable_id": "casting-bronze-indirect-lost-wax"}, {"translated_youtube_id": "51UA1T89MzU", "relative_url": "/video/alexander-mosaic--c-100-b-c-e", "has_questions": false, "keywords": "alexander, hellenistic, greek, mosaic, pompeii, roman, issus", "ka_url": "http://www.khanacademy.org/video/alexander-mosaic--c-100-b-c-e", "duration": 354, "translated_title": "Hellenistic: Alexander mosaic", "translated_description_html": "Alexander Mosaic, c.100 B.C.E., copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "1165113617", "description_html": "Alexander Mosaic, c.100 B.C.E., copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Hellenistic: Alexander mosaic", "progress_key": "v1165113617", "edit_slug": "edit/v/1165113617", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Alexander Mosaic, c.100 B.C.E., copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/alexander-mosaic"}, "node_slug": "v/alexander-mosaic--c-100-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-11-22T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/51UA1T89MzU.mp4/51UA1T89MzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/51UA1T89MzU.mp4/51UA1T89MzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/51UA1T89MzU.m3u8/51UA1T89MzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=51UA1T89MzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1165113617", "sha": "e50dfb06ab30ad61ef439d4d874a78cd873cfc32", "translated_description": "Alexander Mosaic, c.100 B.C.E., copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/51UA1T89MzU/hqdefault.jpg", "youtube_id": "51UA1T89MzU", "content_kind": "Video", "readable_id": "alexander-mosaic--c-100-b-c-e"}, {"translated_youtube_id": "5qgtWunYHwQ", "relative_url": "/video/glassmaking-technique-mosaic-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-mosaic-glass", "duration": 171, "translated_title": "Glassmaking technique: mosaic glass", "translated_description_html": "

Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "xf3640cd8", "description_html": "

Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: mosaic glass", "progress_key": "vxf3640cd8", "edit_slug": "edit/v/xf3640cd8", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-mosaic-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.mp4/5qgtWunYHwQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.mp4/5qgtWunYHwQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.m3u8/5qgtWunYHwQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5qgtWunYHwQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf3640cd8", "sha": "222a97e5e05e887943ba9e92011d0226b8503e90", "translated_description": "Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/5qgtWunYHwQ/hqdefault.jpg", "youtube_id": "5qgtWunYHwQ", "content_kind": "Video", "readable_id": "glassmaking-technique-mosaic-glass"}, {"translated_youtube_id": "C3cwGCezgSQ", "relative_url": "/video/laoco-n-and-his-sons--early-first-century-c-e", "has_questions": false, "keywords": "Greek, Hellenistic, Athanadoros, Hagesandros, Polydoros of Rhodes, Laocoön and his Sons", "ka_url": "http://www.khanacademy.org/video/laoco-n-and-his-sons--early-first-century-c-e", "duration": 223, "translated_title": "Hellenistic: Laocoön and his sons", "translated_description_html": "Athanadoros, Hagesandros, and Polydoros of Rhodes, Laocoön and his Sons, early first century C.E., marble, 7'10 1/2\" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "1359574073", "description_html": "Athanadoros, Hagesandros, and Polydoros of Rhodes, Laocoön and his Sons, early first century C.E., marble, 7'10 1/2\" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Hellenistic: Laocoön and his sons", "progress_key": "v1359574073", "edit_slug": "edit/v/1359574073", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Athanadoros, Hagesandros, and Polydoros of Rhodes, Laocoön and his Sons, early first century C.E., marble, 7'10 1/2\" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/laocoon-and-his-sons.html"}, "node_slug": "v/laoco-n-and-his-sons--early-first-century-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-02-07T21:20:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C3cwGCezgSQ.mp4/C3cwGCezgSQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C3cwGCezgSQ.mp4/C3cwGCezgSQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C3cwGCezgSQ.m3u8/C3cwGCezgSQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C3cwGCezgSQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1359574073", "sha": "d59bd4ee1a297243ddb41837256a8d3d0e7d81f1", "translated_description": "Athanadoros, Hagesandros, and Polydoros of Rhodes, Laocoön and his Sons, early first century C.E., marble, 7'10 1/2\" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/C3cwGCezgSQ/hqdefault.jpg", "youtube_id": "C3cwGCezgSQ", "content_kind": "Video", "readable_id": "laoco-n-and-his-sons--early-first-century-c-e"}, {"translated_youtube_id": "Vs2BfQ5_tjI", "relative_url": "/video/statue-of-sleeping--eros-and-statue-of-an-old-market-woman", "has_questions": false, "keywords": "sleeping eros, Old market woman, Khan Academy", "ka_url": "http://www.khanacademy.org/video/statue-of-sleeping--eros-and-statue-of-an-old-market-woman", "duration": 320, "translated_title": "Hellenistic: Eros sleeping and an old market woman", "translated_description_html": "Statue of Sleeping Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn", "id": "671711103", "description_html": "Statue of Sleeping Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn", "title": "Hellenistic: Eros sleeping and an old market woman", "progress_key": "v671711103", "edit_slug": "edit/v/671711103", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Statue of Sleeping Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hellenistic-art-eros-sleeping-and-an-old-market-woman"}, "node_slug": "v/statue-of-sleeping--eros-and-statue-of-an-old-market-woman", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vs2BfQ5_tjI.mp4/Vs2BfQ5_tjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vs2BfQ5_tjI.mp4/Vs2BfQ5_tjI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vs2BfQ5_tjI.m3u8/Vs2BfQ5_tjI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vs2BfQ5_tjI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711103", "sha": "6d3b55e228e8c807ed5e3680a6b2b52070dee638", "translated_description": "Statue of Sleeping Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn", "image_url": "https://img.youtube.com/vi/Vs2BfQ5_tjI/hqdefault.jpg", "youtube_id": "Vs2BfQ5_tjI", "content_kind": "Video", "readable_id": "statue-of-sleeping--eros-and-statue-of-an-old-market-woman"}], "twitter_url": "", "translated_description": "The ancient Greeks kept busy. They produced painting and sculpture that was copied by the ancient Romans, by Renaissance and Baroque masters, and by the royal academies up until the 19th century. We still copy ancient Greek architecture, refer to their philosophy, use their geometry, perform their theatre, hold olympic games, and redefine their democracy.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The ancient Greeks kept busy. They produced painting and sculpture that was copied by the ancient Romans, by Renaissance and Baroque masters, and by the royal academies up until the 19th century. We still copy ancient Greek architecture, refer to their philosophy, use their geometry, perform their theatre, hold olympic games, and redefine their democracy.", "x_pos": 0.0, "node_slug": "ancient-greece", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-10T18:54:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6832ba1d", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-greece", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-greece", "slug": "ancient-greece", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fd9845b0eceee7865f3e4a47179a6d2dcf5726e7", "standalone_title": "Art History: Ancient Greece", "y_pos": 0.0, "current_revision_key": "fd9845b0eceee7865f3e4a47179a6d2dcf5726e7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/Etruscan-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/Etruscan-art", "translated_standalone_title": "Etruscan art", "translated_title": "Etruscan art", "gplus_url": "", "id": "x8a28dceb", "old_key_name": null, "hide": false, "title": "Etruscan art", "child_data": [{"kind": "Article", "id": "x77d56b38"}, {"kind": "Article", "id": "x9b381c3a"}, {"kind": "Article", "id": "x4093b128"}, {"kind": "Exercise", "id": "x667c0450"}], "children": [], "twitter_url": "", "translated_description": "Before the small village of Rome became “Rome” with a capital R (to paraphrase D.H. Lawrence), a brilliant civilization once controlled almost the entire peninsula we now call Italy. This was the Etruscan civilization, a vanished culture whose achievements set the stage not only for the development of ancient Roman art and culture but for the Italian Renaissance as well.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Before the small village of Rome became “Rome” with a capital R (to paraphrase D.H. Lawrence), a brilliant civilization once controlled almost the entire peninsula we now call Italy. This was the Etruscan civilization, a vanished culture whose achievements set the stage not only for the development of ancient Roman art and culture but for the Italian Renaissance as well.", "x_pos": 0.0, "node_slug": "Etruscan-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-16T17:08:18Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8a28dceb", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/Etruscan-art", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/Etruscan-art", "slug": "Etruscan-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1436599dd9597e8ed061f49cc47b7571b0325a39", "standalone_title": "Etruscan art", "y_pos": 0.0, "current_revision_key": "1436599dd9597e8ed061f49cc47b7571b0325a39", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-rome", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-rome", "translated_standalone_title": "Art History: Ancient Rome", "translated_title": "Ancient Rome", "gplus_url": "", "id": "xcdcc04b9", "old_key_name": "t1F-vPcCarMsxGieYH4kP66o6RUkI8lYRJG0FHXy", "hide": false, "title": "Ancient Rome", "child_data": [{"kind": "Video", "id": 785318223}, {"kind": "Video", "id": 1159741561}, {"kind": "Video", "id": "xafbd58cd"}, {"kind": "Video", "id": 671260985}, {"kind": "Video", "id": 1315102373}, {"kind": "Video", "id": 671563202}, {"kind": "Video", "id": 903658510}, {"kind": "Video", "id": 952728914}, {"kind": "Video", "id": 671260979}, {"kind": "Video", "id": 1064657948}, {"kind": "Video", "id": 1159741559}, {"kind": "Video", "id": "x892ce882"}, {"kind": "Video", "id": 671422821}, {"kind": "Video", "id": 671711097}, {"kind": "Video", "id": 888761224}, {"kind": "Video", "id": "x4da6e65d"}, {"kind": "Video", "id": 1261276479}, {"kind": "Video", "id": 1064651977}, {"kind": "Video", "id": "x479ff0f3"}, {"kind": "Video", "id": "x577ebfb1"}, {"kind": "Video", "id": 671397702}, {"kind": "Video", "id": 719842160}, {"kind": "Video", "id": 671539946}, {"kind": "Video", "id": "x10bc217b"}, {"kind": "Video", "id": 1250456711}, {"kind": "Video", "id": 671260984}, {"kind": "Video", "id": 1159804193}, {"kind": "Video", "id": "x9c2a9215"}, {"kind": "Video", "id": "x82d1f4f4"}, {"kind": "Exercise", "id": "x58b2e20f"}], "children": [{"translated_youtube_id": "VAgA6G75XsI", "relative_url": "/video/a-tour-through-ancient-rome-in-320-c-e", "has_questions": false, "keywords": "art history, smarthistory, khan academy, Rome, Rome Reborn, Hadrian, Nero, Domus Aurea, Roman Baths, Colosseum, Arch of Constantine, Roman Forum, Pantheon, Aqueducts, Constantine", "ka_url": "http://www.khanacademy.org/video/a-tour-through-ancient-rome-in-320-c-e", "duration": 827, "translated_title": "Ancient Rome", "translated_description_html": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "id": "785318223", "description_html": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "title": "Ancient Rome", "progress_key": "v785318223", "edit_slug": "edit/v/785318223", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ancient-rome-an-introduction.html"}, "node_slug": "v/a-tour-through-ancient-rome-in-320-c-e", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-15T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.mp4/VAgA6G75XsI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.mp4/VAgA6G75XsI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VAgA6G75XsI.m3u8/VAgA6G75XsI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VAgA6G75XsI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v785318223", "sha": "80b762847bccf8106c0310ad75f7ff4a107a83e5", "translated_description": "A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer", "image_url": "https://img.youtube.com/vi/VAgA6G75XsI/hqdefault.jpg", "youtube_id": "VAgA6G75XsI", "content_kind": "Video", "readable_id": "a-tour-through-ancient-rome-in-320-c-e"}, {"translated_youtube_id": "Z1RpVPbHgzU", "relative_url": "/video/digging-through-time", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/digging-through-time", "duration": 148, "translated_title": "Digging through time", "translated_description_html": "

A conversation with Dr. Darius Arya and Dr. Beth Harris.<\/p>\n", "id": "1159741561", "description_html": "

A conversation with Dr. Darius Arya and Dr. Beth Harris.<\/p>\n", "title": "Digging through time", "progress_key": "v1159741561", "edit_slug": "edit/v/1159741561", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A conversation with Dr. Darius Arya and Dr. Beth Harris.\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/digging-through-time"}, "node_slug": "v/digging-through-time", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-11-19T19:31:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z1RpVPbHgzU.mp4/Z1RpVPbHgzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z1RpVPbHgzU.mp4/Z1RpVPbHgzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z1RpVPbHgzU.m3u8/Z1RpVPbHgzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z1RpVPbHgzU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159741561", "sha": "1a769066e410e6385e43c130b3d764cdf0ef3bde", "translated_description": "A conversation with Dr. Darius Arya and Dr. Beth Harris.\n", "image_url": "https://img.youtube.com/vi/Z1RpVPbHgzU/hqdefault.jpg", "youtube_id": "Z1RpVPbHgzU", "content_kind": "Video", "readable_id": "digging-through-time"}, {"translated_youtube_id": "WSLad3lN6Jc", "relative_url": "/video/lamp-with-erotes-from-vani", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lamp-with-erotes-from-vani", "duration": 215, "translated_title": "Conserving bronze: \"The Lamp with Erotes from Vani\"", "translated_description_html": "

Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+<\/a><\/p>", "id": "xafbd58cd", "description_html": "

Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+<\/a><\/p>", "title": "Conserving bronze: \"The Lamp with Erotes from Vani\"", "progress_key": "vxafbd58cd", "edit_slug": "edit/v/xafbd58cd", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/lamp-with-erotes-from-vani", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.mp4/WSLad3lN6Jc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.mp4/WSLad3lN6Jc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.m3u8/WSLad3lN6Jc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WSLad3lN6Jc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxafbd58cd", "sha": "157e4dbc9185b64c8fd6ba9c60d4ffdf8db2ff0f", "translated_description": "Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WSLad3lN6Jc/hqdefault.jpg", "youtube_id": "WSLad3lN6Jc", "content_kind": "Video", "readable_id": "lamp-with-erotes-from-vani"}, {"translated_youtube_id": "5u1Nrmdyd-A", "relative_url": "/video/temple-of-portunus--rome--c--120-80-b-c-e", "has_questions": false, "keywords": "smarthistory, art, art history, Rome, fortuna virilis, portunas", "ka_url": "http://www.khanacademy.org/video/temple-of-portunus--rome--c--120-80-b-c-e", "duration": 191, "translated_title": "Republican period: Temple of Portunus", "translated_description_html": "Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.", "id": "671260985", "description_html": "Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.", "title": "Republican period: Temple of Portunus", "progress_key": "v671260985", "edit_slug": "edit/v/671260985", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/temple-of-portunus"}, "node_slug": "v/temple-of-portunus--rome--c--120-80-b-c-e", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5u1Nrmdyd-A.mp4/5u1Nrmdyd-A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5u1Nrmdyd-A.mp4/5u1Nrmdyd-A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5u1Nrmdyd-A.m3u8/5u1Nrmdyd-A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5u1Nrmdyd-A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260985", "sha": "4b8ed84ead3cb5de3d57f9795ab51aa8ba07ea46", "translated_description": "Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.", "image_url": "https://img.youtube.com/vi/5u1Nrmdyd-A/hqdefault.jpg", "youtube_id": "5u1Nrmdyd-A", "content_kind": "Video", "readable_id": "temple-of-portunus--rome--c--120-80-b-c-e"}, {"translated_youtube_id": "T0fq3XFfxrY", "relative_url": "/video/veristic-male-portrait", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/veristic-male-portrait", "duration": 180, "translated_title": "Republican period: Veristic male portrait", "translated_description_html": "Veristic male portrait, early 1st Century B.C.E., marble life size (Vatican Museums, Rome)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1315102373", "description_html": "Veristic male portrait, early 1st Century B.C.E., marble life size (Vatican Museums, Rome)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Republican period: Veristic male portrait", "progress_key": "v1315102373", "edit_slug": "edit/v/1315102373", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Veristic male portrait, early 1st Century B.C.E., marble life size (Vatican Museums, Rome)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": null, "node_slug": "v/veristic-male-portrait", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-01-23T15:10:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0fq3XFfxrY.mp4/T0fq3XFfxrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0fq3XFfxrY.mp4/T0fq3XFfxrY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T0fq3XFfxrY.m3u8/T0fq3XFfxrY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T0fq3XFfxrY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1315102373", "sha": "892d561eb18c53a7875c41cba0ef824892d4129f", "translated_description": "Veristic male portrait, early 1st Century B.C.E., marble life size (Vatican Museums, Rome)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/T0fq3XFfxrY/hqdefault.jpg", "youtube_id": "T0fq3XFfxrY", "content_kind": "Video", "readable_id": "veristic-male-portrait"}, {"translated_youtube_id": "KaY8zqYfQI0", "relative_url": "/video/the-pantheon--rome--c--125", "has_questions": false, "keywords": "pantheon, Rome, Art History, Khan Academy", "ka_url": "http://www.khanacademy.org/video/the-pantheon--rome--c--125", "duration": 512, "translated_title": "The Pantheon", "translated_description_html": "The Pantheon, Rome, c. 125\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671563202", "description_html": "The Pantheon, Rome, c. 125\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "The Pantheon", "progress_key": "v671563202", "edit_slug": "edit/v/671563202", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Pantheon, Rome, c. 125\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/roman-architecturethe-pantheon"}, "node_slug": "v/the-pantheon--rome--c--125", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KaY8zqYfQI0.mp4/KaY8zqYfQI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KaY8zqYfQI0.mp4/KaY8zqYfQI0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KaY8zqYfQI0.m3u8/KaY8zqYfQI0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KaY8zqYfQI0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563202", "sha": "62a988e9b3036416e41410f2ccb9a4f748c9b1f7", "translated_description": "The Pantheon, Rome, c. 125\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/KaY8zqYfQI0/hqdefault.jpg", "youtube_id": "KaY8zqYfQI0", "content_kind": "Video", "readable_id": "the-pantheon--rome--c--125"}, {"translated_youtube_id": "3i8iou6tXqY", "relative_url": "/video/augustus-of-primaporta--1st-century-c-e---vatican-museums", "has_questions": false, "keywords": "Augustus, Vatican, Rome, Roman Empire, Primaporta, Ancient Rome, Art History, Khan Academy, Smarthistory", "ka_url": "http://www.khanacademy.org/video/augustus-of-primaporta--1st-century-c-e---vatican-museums", "duration": 294, "translated_title": "Augustus of Primaporta", "translated_description_html": "Augustus of Primaporta, 1st century C.E. (Vatican Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "903658510", "description_html": "Augustus of Primaporta, 1st century C.E. (Vatican Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Augustus of Primaporta", "progress_key": "v903658510", "edit_slug": "edit/v/903658510", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Augustus of Primaporta, 1st century C.E. (Vatican Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/roman-sculpture"}, "node_slug": "v/augustus-of-primaporta--1st-century-c-e---vatican-museums", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-07-16T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3i8iou6tXqY.mp4/3i8iou6tXqY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3i8iou6tXqY.mp4/3i8iou6tXqY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3i8iou6tXqY.m3u8/3i8iou6tXqY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3i8iou6tXqY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v903658510", "sha": "4b4402d0843727ffc2a82b312eda57d9e239a849", "translated_description": "Augustus of Primaporta, 1st century C.E. (Vatican Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/3i8iou6tXqY/hqdefault.jpg", "youtube_id": "3i8iou6tXqY", "content_kind": "Video", "readable_id": "augustus-of-primaporta--1st-century-c-e---vatican-museums"}, {"translated_youtube_id": "PPyqEsyVmIQ", "relative_url": "/video/painted-garden--villa-of-livia", "has_questions": false, "keywords": "Roman, Painting, First Style, Second Style, 1st Style, 2nd Style, Garden, Villa, Livia, fresco, 30 B.C.E., Museo Nazionale Romano, Palazzo Massimo, Rome, triclinium, Prima Porta, Augustus, dining room, below ground, archaeology, excavation, umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppie, chrysanthemum, chamomile, fern, violet, iris, art history, smarthistory, Khan Academy", "ka_url": "http://www.khanacademy.org/video/painted-garden--villa-of-livia", "duration": 244, "translated_title": "Painted Garden, Villa of Livia", "translated_description_html": "Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome)\n\nPlant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.", "id": "952728914", "description_html": "Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome)\n\nPlant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.", "title": "Painted Garden, Villa of Livia", "progress_key": "v952728914", "edit_slug": "edit/v/952728914", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome)\n\nPlant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/painted-garden-villa-of-livia"}, "node_slug": "v/painted-garden--villa-of-livia", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-08-09T04:46:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PPyqEsyVmIQ.mp4/PPyqEsyVmIQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PPyqEsyVmIQ.mp4/PPyqEsyVmIQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PPyqEsyVmIQ.m3u8/PPyqEsyVmIQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PPyqEsyVmIQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952728914", "sha": "855d413eadc36877b42b79b0f5e0b5e959dc9948", "translated_description": "Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome)\n\nPlant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.", "image_url": "https://img.youtube.com/vi/PPyqEsyVmIQ/hqdefault.jpg", "youtube_id": "PPyqEsyVmIQ", "content_kind": "Video", "readable_id": "painted-garden--villa-of-livia"}, {"translated_youtube_id": "bhE7cHE4wF0", "relative_url": "/video/head-of-augustus--c--27-25-b-c-e", "has_questions": false, "keywords": "Smarthistory, art history, Augustus, Ancient Rome, British Museum", "ka_url": "http://www.khanacademy.org/video/head-of-augustus--c--27-25-b-c-e", "duration": 316, "translated_title": "Head of Augustus", "translated_description_html": "Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "id": "671260979", "description_html": "Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "title": "Head of Augustus", "progress_key": "v671260979", "edit_slug": "edit/v/671260979", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/head-of-augustus"}, "node_slug": "v/head-of-augustus--c--27-25-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bhE7cHE4wF0.mp4/bhE7cHE4wF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bhE7cHE4wF0.mp4/bhE7cHE4wF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bhE7cHE4wF0.m3u8/bhE7cHE4wF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bhE7cHE4wF0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260979", "sha": "841b96be1920e20329eb68928ab34657ac3b8503", "translated_description": "Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "image_url": "https://img.youtube.com/vi/bhE7cHE4wF0/hqdefault.jpg", "youtube_id": "bhE7cHE4wF0", "content_kind": "Video", "readable_id": "head-of-augustus--c--27-25-b-c-e"}, {"translated_youtube_id": "kiMNT18c4Ko", "relative_url": "/video/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "duration": 641, "translated_title": "Ara Pacis", "translated_description_html": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "id": "1064657948", "description_html": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "title": "Ara Pacis", "progress_key": "v1064657948", "edit_slug": "edit/v/1064657948", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ara-pacis.html"}, "node_slug": "v/ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-01T18:01:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.mp4/kiMNT18c4Ko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.mp4/kiMNT18c4Ko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kiMNT18c4Ko.m3u8/kiMNT18c4Ko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kiMNT18c4Ko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064657948", "sha": "f66062941a0053b1505b4d12b3a89ab9cc52b941", "translated_description": "Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris & Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:", "image_url": "https://img.youtube.com/vi/kiMNT18c4Ko/hqdefault.jpg", "youtube_id": "kiMNT18c4Ko", "content_kind": "Video", "readable_id": "ara-pacis-augustae--altar-of-augustan-peace---13-9-b-c-e---rome"}, {"translated_youtube_id": "SEzDiejb1a0", "relative_url": "/video/villa-of-mysteries", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/villa-of-mysteries", "duration": 553, "translated_title": "Dionysiac frieze, Villa of Mysteries, Pompeii", "translated_description_html": "Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "1159741559", "description_html": "Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Dionysiac frieze, Villa of Mysteries, Pompeii", "progress_key": "v1159741559", "edit_slug": "edit/v/1159741559", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/dionysiac-frieze-villa-of-the-mysteries"}, "node_slug": "v/villa-of-mysteries", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-19T19:31:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SEzDiejb1a0.mp4/SEzDiejb1a0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SEzDiejb1a0.mp4/SEzDiejb1a0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SEzDiejb1a0.m3u8/SEzDiejb1a0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SEzDiejb1a0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159741559", "sha": "5e7961210083fd27f2338d6910ea2b644a420b56", "translated_description": "Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/SEzDiejb1a0/hqdefault.jpg", "youtube_id": "SEzDiejb1a0", "content_kind": "Video", "readable_id": "villa-of-mysteries"}, {"translated_youtube_id": "E97Ez4lCBYc", "relative_url": "/video/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "duration": 244, "translated_title": "The conservation of the \"Apollo Saettante\" at the Getty Villa", "translated_description_html": "

Explore the Apollo Saettante<\/em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+<\/a><\/p>", "id": "x892ce882", "description_html": "

Explore the Apollo Saettante<\/em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+<\/a><\/p>", "title": "The conservation of the \"Apollo Saettante\" at the Getty Villa", "progress_key": "vx892ce882", "edit_slug": "edit/v/x892ce882", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Explore the Apollo Saettante, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.mp4/E97Ez4lCBYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.mp4/E97Ez4lCBYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.m3u8/E97Ez4lCBYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E97Ez4lCBYc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx892ce882", "sha": "fb6fad2547fab55de024d602fec646a8e048fbfb", "translated_description": "Explore the Apollo Saettante, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/E97Ez4lCBYc/hqdefault.jpg", "youtube_id": "E97Ez4lCBYc", "content_kind": "Video", "readable_id": "erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa"}, {"translated_youtube_id": "9wguQaBYKec", "relative_url": "/video/colosseum--amphitheatrum-flavium---c--70-80-c-e---rome", "has_questions": false, "keywords": "colosseum, new", "ka_url": "http://www.khanacademy.org/video/colosseum--amphitheatrum-flavium---c--70-80-c-e---rome", "duration": 514, "translated_title": "Colosseum", "translated_description_html": "Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome\n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com \n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com", "id": "671422821", "description_html": "Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome\n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com \n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com", "title": "Colosseum", "progress_key": "v671422821", "edit_slug": "edit/v/671422821", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome\n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com \n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/colosseum"}, "node_slug": "v/colosseum--amphitheatrum-flavium---c--70-80-c-e---rome", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9wguQaBYKec.mp4/9wguQaBYKec.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9wguQaBYKec.mp4/9wguQaBYKec.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9wguQaBYKec.m3u8/9wguQaBYKec.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9wguQaBYKec&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422821", "sha": "bdc2287e96f7043143ded7f08cee065e5ef190d1", "translated_description": "Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome\n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com \n\nSpeakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker\nCover photo by Julia Avra Ugoretz\n\nViews of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com", "image_url": "https://img.youtube.com/vi/9wguQaBYKec/hqdefault.jpg", "youtube_id": "9wguQaBYKec", "content_kind": "Video", "readable_id": "colosseum--amphitheatrum-flavium---c--70-80-c-e---rome"}, {"translated_youtube_id": "Huop6oiCgVg", "relative_url": "/video/the-arch-of-titus--81-c-e", "has_questions": false, "keywords": "Rome, Art, Art History, Ancient Rome, Smarthistory, Titus, Triumphal Arch", "ka_url": "http://www.khanacademy.org/video/the-arch-of-titus--81-c-e", "duration": 297, "translated_title": "Arch of Titus", "translated_description_html": "Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine,\nc. 81 C.E. (Via Sacra, Rome)\n\nThe surviving original inscription reads:\n\n SENATVS\n POPVLVSQVE ROMANVS\n DIVO TITO DIVI VESPASIANI F[ILIO]\n VESPASIANO AVGVSTO \n\n Senate\n People of Rome\n to the divine Titus Vespasian Augustus son of Vespasian \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671711097", "description_html": "Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine,\nc. 81 C.E. (Via Sacra, Rome)\n\nThe surviving original inscription reads:\n\n SENATVS\n POPVLVSQVE ROMANVS\n DIVO TITO DIVI VESPASIANI F[ILIO]\n VESPASIANO AVGVSTO \n\n Senate\n People of Rome\n to the divine Titus Vespasian Augustus son of Vespasian \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Arch of Titus", "progress_key": "v671711097", "edit_slug": "edit/v/671711097", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine,\nc. 81 C.E. (Via Sacra, Rome)\n\nThe surviving original inscription reads:\n\n SENATVS\n POPVLVSQVE ROMANVS\n DIVO TITO DIVI VESPASIANI F[ILIO]\n VESPASIANO AVGVSTO \n\n Senate\n People of Rome\n to the divine Titus Vespasian Augustus son of Vespasian \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/arch-of-titus"}, "node_slug": "v/the-arch-of-titus--81-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Huop6oiCgVg.mp4/Huop6oiCgVg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Huop6oiCgVg.mp4/Huop6oiCgVg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Huop6oiCgVg.m3u8/Huop6oiCgVg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Huop6oiCgVg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711097", "sha": "fcac71f2765ee5ef9ac6a3ee5b05c45c7d27b3b9", "translated_description": "Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine,\nc. 81 C.E. (Via Sacra, Rome)\n\nThe surviving original inscription reads:\n\n SENATVS\n POPVLVSQVE ROMANVS\n DIVO TITO DIVI VESPASIANI F[ILIO]\n VESPASIANO AVGVSTO \n\n Senate\n People of Rome\n to the divine Titus Vespasian Augustus son of Vespasian \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Huop6oiCgVg/hqdefault.jpg", "youtube_id": "Huop6oiCgVg", "content_kind": "Video", "readable_id": "the-arch-of-titus--81-c-e"}, {"translated_youtube_id": "Nu_6X04EGHk", "relative_url": "/video/a-tour-of-hadrian-s-villa-with-dr--bernard-frischer", "has_questions": false, "keywords": "art history, khan academy, smarthistory, Hadrian, Rome, Tivoli, Hadrians Villa, Ancient Rome, Roman architecture", "ka_url": "http://www.khanacademy.org/video/a-tour-of-hadrian-s-villa-with-dr--bernard-frischer", "duration": 484, "translated_title": "Hadrian's Villa, Tivoli: A virtual tour", "translated_description_html": "A virtual tour of Hadrian's Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian's Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris", "id": "888761224", "description_html": "A virtual tour of Hadrian's Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian's Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris", "title": "Hadrian's Villa, Tivoli: A virtual tour", "progress_key": "v888761224", "edit_slug": "edit/v/888761224", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A virtual tour of Hadrian's Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian's Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hadrians-villa-a-virtual-tour"}, "node_slug": "v/a-tour-of-hadrian-s-villa-with-dr--bernard-frischer", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-07-06T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nu_6X04EGHk.mp4/Nu_6X04EGHk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nu_6X04EGHk.mp4/Nu_6X04EGHk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nu_6X04EGHk.m3u8/Nu_6X04EGHk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nu_6X04EGHk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v888761224", "sha": "50f94277e85ffc546ddfb545862f2c2d2064cfd5", "translated_description": "A virtual tour of Hadrian's Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian's Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/Nu_6X04EGHk/hqdefault.jpg", "youtube_id": "Nu_6X04EGHk", "content_kind": "Video", "readable_id": "a-tour-of-hadrian-s-villa-with-dr--bernard-frischer"}, {"translated_youtube_id": "t6npEWNrHGM", "relative_url": "/video/Hadrian-imperial-palace", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Hadrian-imperial-palace", "duration": 146, "translated_title": "Hadrian: the imperial palace", "translated_description_html": "

Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.
<\/p>", "id": "x4da6e65d", "description_html": "

Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.
<\/p>", "title": "Hadrian: the imperial palace", "progress_key": "vx4da6e65d", "edit_slug": "edit/v/x4da6e65d", "author_names": [], "deleted_mod_time": null, "description": "Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.", "extra_properties": {}, "node_slug": "v/Hadrian-imperial-palace", "deleted": false, "backup_timestamp": "2013-10-06T23:31:35Z", "date_added": "2013-10-06T23:31:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t6npEWNrHGM.mp4/t6npEWNrHGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t6npEWNrHGM.mp4/t6npEWNrHGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t6npEWNrHGM.m3u8/t6npEWNrHGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t6npEWNrHGM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4da6e65d", "sha": "e2f843587f415c80651be15a42c36f5aaff26abe", "translated_description": "Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.", "image_url": "https://img.youtube.com/vi/t6npEWNrHGM/hqdefault.jpg", "youtube_id": "t6npEWNrHGM", "content_kind": "Video", "readable_id": "Hadrian-imperial-palace"}, {"translated_youtube_id": "hGMwMlksZlM", "relative_url": "/video/emperor-hadrian-s-private-retreat--the--maritime-theatre--at-hadrian-s-villa--tivoli", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/emperor-hadrian-s-private-retreat--the--maritime-theatre--at-hadrian-s-villa--tivoli", "duration": 301, "translated_title": "Maritime Theatre at Hadrian's Villa, Tivoli", "translated_description_html": "Maritime Theatre at Hadrian's Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris", "id": "1261276479", "description_html": "Maritime Theatre at Hadrian's Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris", "title": "Maritime Theatre at Hadrian's Villa, Tivoli", "progress_key": "v1261276479", "edit_slug": "edit/v/1261276479", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Maritime Theatre at Hadrian's Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/maritime-theatre-at-hadrians-villa-tivoli-villa-begun-in-117-c.e."}, "node_slug": "v/emperor-hadrian-s-private-retreat--the--maritime-theatre--at-hadrian-s-villa--tivoli", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-02T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hGMwMlksZlM.mp4/hGMwMlksZlM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hGMwMlksZlM.mp4/hGMwMlksZlM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hGMwMlksZlM.m3u8/hGMwMlksZlM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hGMwMlksZlM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1261276479", "sha": "6620f2ae20caa7809ea935e199a2db37885c923b", "translated_description": "Maritime Theatre at Hadrian's Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/hGMwMlksZlM/hqdefault.jpg", "youtube_id": "hGMwMlksZlM", "content_kind": "Video", "readable_id": "emperor-hadrian-s-private-retreat--the--maritime-theatre--at-hadrian-s-villa--tivoli"}, {"translated_youtube_id": "L5OkFR8GScU", "relative_url": "/video/pair-of-centaurs-fighting-cats-of-prey-from-hadrian-s-villa--c--130-b-c-e-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pair-of-centaurs-fighting-cats-of-prey-from-hadrian-s-villa--c--130-b-c-e-1", "duration": 289, "translated_title": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, Tivoli", "translated_description_html": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project", "id": "1064651977", "description_html": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project", "title": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, Tivoli", "progress_key": "v1064651977", "edit_slug": "edit/v/1064651977", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa"}, "node_slug": "v/pair-of-centaurs-fighting-cats-of-prey-from-hadrian-s-villa--c--130-b-c-e-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-01T18:01:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L5OkFR8GScU.mp4/L5OkFR8GScU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L5OkFR8GScU.mp4/L5OkFR8GScU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L5OkFR8GScU.m3u8/L5OkFR8GScU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L5OkFR8GScU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064651977", "sha": "213907bfa62e42c8cf719da94ac70f30f9bf53b5", "translated_description": "Pair of Centaurs Fighting Cats of Prey from Hadrian's Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project", "image_url": "https://img.youtube.com/vi/L5OkFR8GScU/hqdefault.jpg", "youtube_id": "L5OkFR8GScU", "content_kind": "Video", "readable_id": "pair-of-centaurs-fighting-cats-of-prey-from-hadrian-s-villa--c--130-b-c-e-1"}, {"translated_youtube_id": "dCSH7ok7ejI", "relative_url": "/video/Hadrian-building-the-wall", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Hadrian-building-the-wall", "duration": 195, "translated_title": "Hadrian: building the wall", "translated_description_html": "

In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian's Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.
<\/p>", "id": "x479ff0f3", "description_html": "

In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian's Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.
<\/p>", "title": "Hadrian: building the wall", "progress_key": "vx479ff0f3", "edit_slug": "edit/v/x479ff0f3", "author_names": [], "deleted_mod_time": null, "description": "In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian's Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.", "extra_properties": {}, "node_slug": "v/Hadrian-building-the-wall", "deleted": false, "backup_timestamp": "2013-10-06T23:31:34Z", "date_added": "2013-10-06T23:31:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dCSH7ok7ejI.mp4/dCSH7ok7ejI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dCSH7ok7ejI.mp4/dCSH7ok7ejI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dCSH7ok7ejI.m3u8/dCSH7ok7ejI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dCSH7ok7ejI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx479ff0f3", "sha": "39ed50fb4773a78eca9d561094663b7176212d21", "translated_description": "In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian's Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.", "image_url": "https://img.youtube.com/vi/dCSH7ok7ejI/hqdefault.jpg", "youtube_id": "dCSH7ok7ejI", "content_kind": "Video", "readable_id": "Hadrian-building-the-wall"}, {"translated_youtube_id": "b8CWoxRYBDo", "relative_url": "/video/Hadrian-power-of-the-imahe", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Hadrian-power-of-the-imahe", "duration": 251, "translated_title": "Hadrian: the power of image", "translated_description_html": "

For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.
<\/p>", "id": "x577ebfb1", "description_html": "

For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.
<\/p>", "title": "Hadrian: the power of image", "progress_key": "vx577ebfb1", "edit_slug": "edit/v/x577ebfb1", "author_names": [], "deleted_mod_time": null, "description": "For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.", "extra_properties": {}, "node_slug": "v/Hadrian-power-of-the-imahe", "deleted": false, "backup_timestamp": "2013-10-06T23:31:34Z", "date_added": "2013-10-06T23:31:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b8CWoxRYBDo.mp4/b8CWoxRYBDo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b8CWoxRYBDo.mp4/b8CWoxRYBDo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b8CWoxRYBDo.m3u8/b8CWoxRYBDo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b8CWoxRYBDo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx577ebfb1", "sha": "3a1bf6df6b9f6ec7cb6645e3f7e5e02c3f1b654c", "translated_description": "For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.", "image_url": "https://img.youtube.com/vi/b8CWoxRYBDo/hqdefault.jpg", "youtube_id": "b8CWoxRYBDo", "content_kind": "Video", "readable_id": "Hadrian-power-of-the-imahe"}, {"translated_youtube_id": "MFt3tHNevJg", "relative_url": "/video/column-of-trajan--completed-113-c-e", "has_questions": false, "keywords": "Trajan, Column of Trajan, Rome, Smarthistory, Art History, Khan Academy, Context Travel, Ancient Rome", "ka_url": "http://www.khanacademy.org/video/column-of-trajan--completed-113-c-e", "duration": 296, "translated_title": "Column of Trajan", "translated_description_html": "Column of Trajan, Carrara marble, completed 113 C.E., Rome\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.", "id": "671397702", "description_html": "Column of Trajan, Carrara marble, completed 113 C.E., Rome\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.", "title": "Column of Trajan", "progress_key": "v671397702", "edit_slug": "edit/v/671397702", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Column of Trajan, Carrara marble, completed 113 C.E., Rome\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/column-of-trajan"}, "node_slug": "v/column-of-trajan--completed-113-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:31Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MFt3tHNevJg.mp4/MFt3tHNevJg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MFt3tHNevJg.mp4/MFt3tHNevJg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MFt3tHNevJg.m3u8/MFt3tHNevJg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MFt3tHNevJg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397702", "sha": "d9ae15f1d35a019854d7d00c1f6177e3f8afc35a", "translated_description": "Column of Trajan, Carrara marble, completed 113 C.E., Rome\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.", "image_url": "https://img.youtube.com/vi/MFt3tHNevJg/hqdefault.jpg", "youtube_id": "MFt3tHNevJg", "content_kind": "Video", "readable_id": "column-of-trajan--completed-113-c-e"}, {"translated_youtube_id": "wE7_9Xce6LM", "relative_url": "/video/medea-sarcophagus--140---150-c-e", "has_questions": false, "keywords": "Medea, Sarcophagus, GAP, Art History, Euripides, Jason, Khan Academy, smarthistory, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/medea-sarcophagus--140---150-c-e", "duration": 297, "translated_title": "Medea Sarcophagus", "translated_description_html": "Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)", "id": "719842160", "description_html": "Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)", "title": "Medea Sarcophagus", "progress_key": "v719842160", "edit_slug": "edit/v/719842160", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/medea-sarcophagus"}, "node_slug": "v/medea-sarcophagus--140---150-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wE7_9Xce6LM.mp4/wE7_9Xce6LM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wE7_9Xce6LM.mp4/wE7_9Xce6LM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wE7_9Xce6LM.m3u8/wE7_9Xce6LM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wE7_9Xce6LM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842160", "sha": "2c5b788b8653d62d3532c520cd6f28b43a972861", "translated_description": "Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)", "image_url": "https://img.youtube.com/vi/wE7_9Xce6LM/hqdefault.jpg", "youtube_id": "wE7_9Xce6LM", "content_kind": "Video", "readable_id": "medea-sarcophagus--140---150-c-e"}, {"translated_youtube_id": "D4nK5uXuPXM", "relative_url": "/video/equestrian-sculpture-of-marcus-aurelius---c--173-76-c-e", "has_questions": false, "keywords": "rome, equestrian, marcus aurelius, smarthistory, art, art history, roman, ancient rome, emporer", "ka_url": "http://www.khanacademy.org/video/equestrian-sculpture-of-marcus-aurelius---c--173-76-c-e", "duration": 228, "translated_title": "Equestrian Sculpture of Marcus Aurelius", "translated_description_html": "Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.", "id": "671539946", "description_html": "Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.", "title": "Equestrian Sculpture of Marcus Aurelius", "progress_key": "v671539946", "edit_slug": "edit/v/671539946", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/equestrian-sculpture-of-marcus-aurelius"}, "node_slug": "v/equestrian-sculpture-of-marcus-aurelius---c--173-76-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D4nK5uXuPXM.mp4/D4nK5uXuPXM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D4nK5uXuPXM.mp4/D4nK5uXuPXM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D4nK5uXuPXM.m3u8/D4nK5uXuPXM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D4nK5uXuPXM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539946", "sha": "53e4dedfcfe518f5b6c96553ed0b8eaf457f8c29", "translated_description": "Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.", "image_url": "https://img.youtube.com/vi/D4nK5uXuPXM/hqdefault.jpg", "youtube_id": "D4nK5uXuPXM", "content_kind": "Video", "readable_id": "equestrian-sculpture-of-marcus-aurelius---c--173-76-c-e"}, {"translated_youtube_id": "xyhaEvNdwrQ", "relative_url": "/video/statue-of-an-emperor-conservation-partnership", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/statue-of-an-emperor-conservation-partnership", "duration": 341, "translated_title": "\"Statue of an Emperor:\" A conservation partnership", "translated_description_html": "

Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+<\/a><\/p>", "id": "x10bc217b", "description_html": "

Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+<\/a><\/p>", "title": "\"Statue of an Emperor:\" A conservation partnership", "progress_key": "vx10bc217b", "edit_slug": "edit/v/x10bc217b", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/statue-of-an-emperor-conservation-partnership", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.mp4/xyhaEvNdwrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.mp4/xyhaEvNdwrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.m3u8/xyhaEvNdwrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xyhaEvNdwrQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx10bc217b", "sha": "5ac2153b542a4246be9635c660816402a35f2fb9", "translated_description": "Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/xyhaEvNdwrQ/hqdefault.jpg", "youtube_id": "xyhaEvNdwrQ", "content_kind": "Video", "readable_id": "statue-of-an-emperor-conservation-partnership"}, {"translated_youtube_id": "m4raOIxsbaU", "relative_url": "/video/battle-of-the-romans-and-barbarians--ludovisi-battle-sarcophagus---c--250-260-c-e", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/battle-of-the-romans-and-barbarians--ludovisi-battle-sarcophagus---c--250-260-c-e", "duration": 334, "translated_title": "Ludovisi Battle Sarcophagus", "translated_description_html": "Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "1250456711", "description_html": "Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Ludovisi Battle Sarcophagus", "progress_key": "v1250456711", "edit_slug": "edit/v/1250456711", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ludovisi-battle-sarcophagus"}, "node_slug": "v/battle-of-the-romans-and-barbarians--ludovisi-battle-sarcophagus---c--250-260-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-26T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m4raOIxsbaU.mp4/m4raOIxsbaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m4raOIxsbaU.mp4/m4raOIxsbaU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m4raOIxsbaU.m3u8/m4raOIxsbaU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m4raOIxsbaU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1250456711", "sha": "8cbef96a5bd108d8a86783fdaa3e542e00e8da60", "translated_description": "Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/m4raOIxsbaU/hqdefault.jpg", "youtube_id": "m4raOIxsbaU", "content_kind": "Video", "readable_id": "battle-of-the-romans-and-barbarians--ludovisi-battle-sarcophagus---c--250-260-c-e"}, {"translated_youtube_id": "mK9y-sPn_AY", "relative_url": "/video/arch-of-constantine--315-c-e", "has_questions": false, "keywords": "Arch of Constantine, Smarthistory, Ancient Rome, Constantine, Roman Empire, Constantine the Great", "ka_url": "http://www.khanacademy.org/video/arch-of-constantine--315-c-e", "duration": 657, "translated_title": "Arch of Constantine", "translated_description_html": "Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html", "id": "671260984", "description_html": "Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html", "title": "Arch of Constantine", "progress_key": "v671260984", "edit_slug": "edit/v/671260984", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/arch-of-constantine"}, "node_slug": "v/arch-of-constantine--315-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mK9y-sPn_AY.mp4/mK9y-sPn_AY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mK9y-sPn_AY.mp4/mK9y-sPn_AY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mK9y-sPn_AY.m3u8/mK9y-sPn_AY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mK9y-sPn_AY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260984", "sha": "cfe2f387c9c2f059562f2aaa611c4225f7932fc5", "translated_description": "Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html", "image_url": "https://img.youtube.com/vi/mK9y-sPn_AY/hqdefault.jpg", "youtube_id": "mK9y-sPn_AY", "content_kind": "Video", "readable_id": "arch-of-constantine--315-c-e"}, {"translated_youtube_id": "MuD06cnjtAM", "relative_url": "/video/colossus-of-constantine", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/colossus-of-constantine", "duration": 273, "translated_title": "The Colossus of Constantine", "translated_description_html": "The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.", "id": "1159804193", "description_html": "The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.", "title": "The Colossus of Constantine", "progress_key": "v1159804193", "edit_slug": "edit/v/1159804193", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-colossus-of-constantine"}, "node_slug": "v/colossus-of-constantine", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-11-19T19:31:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MuD06cnjtAM.mp4/MuD06cnjtAM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MuD06cnjtAM.mp4/MuD06cnjtAM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MuD06cnjtAM.m3u8/MuD06cnjtAM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MuD06cnjtAM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159804193", "sha": "1a5f0276ca7f36175e52c032e0a99c8c7f14b887", "translated_description": "The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.", "image_url": "https://img.youtube.com/vi/MuD06cnjtAM/hqdefault.jpg", "youtube_id": "MuD06cnjtAM", "content_kind": "Video", "readable_id": "colossus-of-constantine"}, {"translated_youtube_id": "xgTpGASqrKY", "relative_url": "/video/the-art-of-gem-carving", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-art-of-gem-carving", "duration": 249, "translated_title": "The art of gem carving", "translated_description_html": "

Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+<\/a>
Love art? Follow us on Google+ to stay in touch:<\/span>
http://bit.ly/gettygoogleplus<\/a><\/p>", "id": "x9c2a9215", "description_html": "

Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+<\/a>
Love art? Follow us on Google+ to stay in touch:<\/span>
http://bit.ly/gettygoogleplus<\/a><\/p>", "title": "The art of gem carving", "progress_key": "vx9c2a9215", "edit_slug": "edit/v/x9c2a9215", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+Love art? Follow us on Google+ to stay in touch:http://bit.ly/gettygoogleplus", "extra_properties": {"original_url": ""}, "node_slug": "v/the-art-of-gem-carving", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.mp4/xgTpGASqrKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.mp4/xgTpGASqrKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.m3u8/xgTpGASqrKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xgTpGASqrKY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9c2a9215", "sha": "b1febec4efff4e862d106abdd46fd5d0600efbc9", "translated_description": "Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+Love art? Follow us on Google+ to stay in touch:http://bit.ly/gettygoogleplus", "image_url": "https://img.youtube.com/vi/xgTpGASqrKY/hqdefault.jpg", "youtube_id": "xgTpGASqrKY", "content_kind": "Video", "readable_id": "the-art-of-gem-carving"}, {"translated_youtube_id": "PMNIEfo6vZY", "relative_url": "/video/glassmaking-technique-roman-mold-blown-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-roman-mold-blown-glass", "duration": 88, "translated_title": "Glassmaking technique: Roman mold-blown glass", "translated_description_html": "

Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+<\/a><\/p>", "id": "x82d1f4f4", "description_html": "

Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: Roman mold-blown glass", "progress_key": "vx82d1f4f4", "edit_slug": "edit/v/x82d1f4f4", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-roman-mold-blown-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.mp4/PMNIEfo6vZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.mp4/PMNIEfo6vZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.m3u8/PMNIEfo6vZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PMNIEfo6vZY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx82d1f4f4", "sha": "179e0b54736c00fd6a7d3c3f7cf48e24f04b37e8", "translated_description": "Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/PMNIEfo6vZY/hqdefault.jpg", "youtube_id": "PMNIEfo6vZY", "content_kind": "Video", "readable_id": "glassmaking-technique-roman-mold-blown-glass"}], "twitter_url": "", "translated_description": "The Romans weren’t very original (they borrowed the Greek’s and Egyptian’s gods, architecture, etc.), but they sure knew the political value of art and they were brilliant engineers and administrators. This tutorial traces Roman art and architecture from the Republic through the collapse of the Empire and the rise Christianity. Fly over a reconstruction of the ancient city of Rome. Understand how the Colosseum was built to appease a population angry at the excesses of the former Emperor Nero, and uncover the secret initiation rites buried by the ash of Mount Vesuvius.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Romans weren’t very original (they borrowed the Greek’s and Egyptian’s gods, architecture, etc.), but they sure knew the political value of art and they were brilliant engineers and administrators. This tutorial traces Roman art and architecture from the Republic through the collapse of the Empire and the rise Christianity. Fly over a reconstruction of the ancient city of Rome. Understand how the Colosseum was built to appease a population angry at the excesses of the former Emperor Nero, and uncover the secret initiation rites buried by the ash of Mount Vesuvius.", "x_pos": 0.0, "node_slug": "ancient-rome", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-25T18:13:56Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcdcc04b9", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-rome", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/ancient-rome", "slug": "ancient-rome", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9dcad36c85d2cabe9bff8717c39468f4dda86f15", "standalone_title": "Art History: Ancient Rome", "y_pos": 0.0, "current_revision_key": "9dcad36c85d2cabe9bff8717c39468f4dda86f15", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/buddhist-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-c-e--ancient-cultures-1/buddhist-art", "translated_standalone_title": "Art History: Buddhist Art", "translated_title": "Buddhist Art", "gplus_url": "", "id": "x4dd36cc0", "old_key_name": "yOmsWZ11MTKrqesaHO2wmJbpCb9rU3vQFpcjBP3I", "hide": false, "title": "Buddhist Art", "child_data": [{"kind": "Article", "id": 1330586045}, {"kind": "Article", "id": "x0db8606f"}, {"kind": "Article", "id": "xe8ef7bd2"}, {"kind": "Video", "id": "xe47510dc"}, {"kind": "Video", "id": 719781801}, {"kind": "Video", "id": 719786816}, {"kind": "Video", "id": 671702328}, {"kind": "Exercise", "id": "x5a200d1b"}], "children": [{"translated_youtube_id": "kHt6BgHxa8o", "relative_url": "/video/four-buddhas-at-the-american-museum-of-natural-history", "has_questions": false, "keywords": "Buddha, Buddhism, American Museum of Natural History, Silk Road", "ka_url": "http://www.khanacademy.org/video/four-buddhas-at-the-american-museum-of-natural-history", "duration": 579, "translated_title": "Four Buddhas at the American Museum of Natural History", "translated_description_html": "A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy", "id": "xe47510dc", "description_html": "A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy", "title": "Four Buddhas at the American Museum of Natural History", "progress_key": "vxe47510dc", "edit_slug": "edit/v/xe47510dc", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/four-buddhas-at-the-american-museum-of-natural-history", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-12T02:58:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kHt6BgHxa8o.mp4/kHt6BgHxa8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kHt6BgHxa8o.mp4/kHt6BgHxa8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kHt6BgHxa8o.m3u8/kHt6BgHxa8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kHt6BgHxa8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe47510dc", "sha": "3b549294f2c43f419b4cf1d76acd0d601d676423", "translated_description": "A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy", "image_url": "https://img.youtube.com/vi/kHt6BgHxa8o/hqdefault.jpg", "youtube_id": "kHt6BgHxa8o", "content_kind": "Video", "readable_id": "four-buddhas-at-the-american-museum-of-natural-history"}, {"translated_youtube_id": "8jFxkEQacVA", "relative_url": "/video/bodhisattva--probably-avalokiteshvara--guanyin---northern-qi-dynasty--c--550--60", "has_questions": false, "keywords": "Bodhisattva, Avalokiteshvara, Guanyin, Northern Qi, 550, 560, Shanxi, China, sandstone, Metropolitan Museum, New York, Sculpture, Monumental, Buddhist, Google Art Project, Khan Academy, Smarthistory, OER, Art History, Non-Western, art", "ka_url": "http://www.khanacademy.org/video/bodhisattva--probably-avalokiteshvara--guanyin---northern-qi-dynasty--c--550--60", "duration": 467, "translated_title": "China: Bodhisattva", "translated_description_html": "Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)", "id": "719781801", "description_html": "Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)", "title": "China: Bodhisattva", "progress_key": "v719781801", "edit_slug": "edit/v/719781801", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bodhisattva-from-china"}, "node_slug": "v/bodhisattva--probably-avalokiteshvara--guanyin---northern-qi-dynasty--c--550--60", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8jFxkEQacVA.mp4/8jFxkEQacVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8jFxkEQacVA.mp4/8jFxkEQacVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8jFxkEQacVA.m3u8/8jFxkEQacVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8jFxkEQacVA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719781801", "sha": "cab8b6e63d54174d7804c1b358d9a04b73433538", "translated_description": "Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)", "image_url": "https://img.youtube.com/vi/8jFxkEQacVA/hqdefault.jpg", "youtube_id": "8jFxkEQacVA", "content_kind": "Video", "readable_id": "bodhisattva--probably-avalokiteshvara--guanyin---northern-qi-dynasty--c--550--60"}, {"translated_youtube_id": "CHfU9EDwOwU", "relative_url": "/video/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "has_questions": false, "keywords": "Buddha, Medicine, Bhaishajyaguru, Yaoshi fo, 1319, Yuan dynasty, Metropolitan Museum of Art, New York, Buddhism, China, Chinese, art, sculpture, Bodhisattva, Wall painting, art history, painting, Khan Academy, Google Art Project, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "duration": 337, "translated_title": "China: Buddha of Medicine Bhaishajyaguru (Yaoshi fo)", "translated_description_html": "

Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#<\/p>", "id": "719786816", "description_html": "

Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#<\/p>", "title": "China: Buddha of Medicine Bhaishajyaguru (Yaoshi fo)", "progress_key": "v719786816", "edit_slug": "edit/v/719786816", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/buddha-of-medicine-bhaishajyaguru-yaoshi-fo"}, "node_slug": "v/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2012-04-13T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.mp4/CHfU9EDwOwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.mp4/CHfU9EDwOwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.m3u8/CHfU9EDwOwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CHfU9EDwOwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786816", "sha": "4d733b8118e6e87ddb2576fd0242b225ad44cbcf", "translated_description": "Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#", "image_url": "https://img.youtube.com/vi/CHfU9EDwOwU/hqdefault.jpg", "youtube_id": "CHfU9EDwOwU", "content_kind": "Video", "readable_id": "buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319"}, {"translated_youtube_id": "_M_zc7DDZbU", "relative_url": "/video/negoro-ware-ewer", "has_questions": false, "keywords": "Negoro-ware, ewer, Negoro, workshop, Muromachi, 16th-century, lacquer, Wakayama, Japan, Portland Art Museum, Japanese", "ka_url": "http://www.khanacademy.org/video/negoro-ware-ewer", "duration": 456, "translated_title": "Japan: Muromachi to Momoyama period Negoro ware ewer", "translated_description_html": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "id": "671702328", "description_html": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "title": "Japan: Muromachi to Momoyama period Negoro ware ewer", "progress_key": "v671702328", "edit_slug": "edit/v/671702328", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "extra_properties": {}, "node_slug": "v/negoro-ware-ewer", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.mp4/_M_zc7DDZbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.mp4/_M_zc7DDZbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.m3u8/_M_zc7DDZbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_M_zc7DDZbU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702328", "sha": "298fb21345f78e5e90b3c8ad3816ce68adff11ca", "translated_description": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "image_url": "https://img.youtube.com/vi/_M_zc7DDZbU/hqdefault.jpg", "youtube_id": "_M_zc7DDZbU", "content_kind": "Video", "readable_id": "negoro-ware-ewer"}], "twitter_url": "", "translated_description": "Buddhism began when Siddhārtha renounced his princely life and succeeded in attaining enlightenment. As the philosophy and practice of Buddhism traveled, it was shaped and reshaped first across Northern India, Pakistan and Afghanistan and later in China, Japan and South East Asia. Learn how we trace the history of Buddhism through the representation of the historical Buddha and the many other buddhas that are still widely venerated today.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Buddhism began when Siddhārtha renounced his princely life and succeeded in attaining enlightenment. As the philosophy and practice of Buddhism traveled, it was shaped and reshaped first across Northern India, Pakistan and Afghanistan and later in China, Japan and South East Asia. Learn how we trace the history of Buddhism through the representation of the historical Buddha and the many other buddhas that are still widely venerated today.", "x_pos": 0.0, "node_slug": "buddhist-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-29T22:03:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4dd36cc0", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1/buddhist-art", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1/buddhist-art", "slug": "buddhist-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "40a746a3c1e489a904139b1eb21056c4fce94280", "standalone_title": "Art History: Buddhist Art", "y_pos": 0.0, "current_revision_key": "40a746a3c1e489a904139b1eb21056c4fce94280", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Humans have been making art for tens of thousands of years, long before there was writing. Why was Egyptian art obsessed with death? Why did the ancient Greeks seek the perfect human form? How did the ancient Romans use art as state propaganda? Why was the naturalism of ancient Greek and Roman art abandoned with the rise of Christianity? This topic explores the art of the ancient world, from the Venus of Willendorf to a 6th-Century Chinese Bodhisattva.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Humans have been making art for tens of thousands of years, long before there was writing. Why was Egyptian art obsessed with death? Why did the ancient Greeks seek the perfect human form? How did the ancient Romans use art as state propaganda? Why was the naturalism of ancient Greek and Roman art abandoned with the rise of Christianity? This topic explores the art of the ancient world, from the Venus of Willendorf to a 6th-Century Chinese Bodhisattva.", "x_pos": 0.0, "node_slug": "art-history-400-c-e--ancient-cultures-1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:13:01Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc3b455a1", "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures-1", "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures-1", "slug": "art-history-400-c-e--ancient-cultures-1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6c72b9c2c2367c66ea646ba6d169cdf2fcc84076", "standalone_title": "Art History: - 400 C.E. Ancient Cultures", "y_pos": 0.0, "current_revision_key": "6c72b9c2c2367c66ea646ba6d169cdf2fcc84076", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras", "translated_standalone_title": "Art History: 400-1300 Medieval & Byzantine Eras", "translated_title": "400-1300 Medieval Era", "gplus_url": "", "id": "x80e2bca5", "old_key_name": "WfiXE2wkV_wpb3sgycS9gI3lN03tsO8P9VjWc0f-", "hide": false, "title": "400-1300 Medieval Era", "child_data": [{"kind": "Topic", "id": "x69888f93"}, {"kind": "Topic", "id": "xa8f1b661"}, {"kind": "Topic", "id": "x928e6602"}, {"kind": "Topic", "id": "x081edb05"}, {"kind": "Topic", "id": "xd93410e3"}, {"kind": "Topic", "id": "xed240994"}, {"kind": "Topic", "id": "x386826d2"}, {"kind": "Topic", "id": "xbb1a10d9"}, {"kind": "Topic", "id": "xf59d3d2c"}, {"kind": "Topic", "id": "x8b83a792"}, {"kind": "Topic", "id": "x092c01a8"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/a-beginners-guide-to-the-medieval-period", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/a-beginners-guide-to-the-medieval-period", "translated_standalone_title": "A Beginner's Guide to the Medieval Period", "translated_title": "A beginner's guide to the medieval period", "gplus_url": "", "id": "x69888f93", "old_key_name": "D4Xh848ZUPPTPTjHIPWWbSEkg_L97K6tfmNBbqLj", "hide": false, "title": "A beginner's guide to the medieval period", "child_data": [{"kind": "Article", "id": 1364114303}, {"kind": "Video", "id": 1362677138}, {"kind": "Article", "id": "x9d5930d9"}, {"kind": "Article", "id": "x9b001b1b"}, {"kind": "Article", "id": "x823afbf3"}, {"kind": "Video", "id": "xef680044"}, {"kind": "Video", "id": "x2799e69b"}, {"kind": "Video", "id": "xb59f5972"}, {"kind": "Video", "id": "x42923f86"}, {"kind": "Article", "id": "x4b25440f"}, {"kind": "Exercise", "id": "x5a602b2d"}], "children": [{"translated_youtube_id": "UpGsouOnxOU", "relative_url": "/video/tice-art-1010--medieval-and-byzantine-art-mp4", "has_questions": false, "keywords": "Medieval, Byzantine, art", "ka_url": "http://www.khanacademy.org/video/tice-art-1010--medieval-and-byzantine-art-mp4", "duration": 308, "translated_title": "Medieval and Byzantine art", "translated_description_html": "A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.", "id": "1362677138", "description_html": "A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.", "title": "Medieval and Byzantine art", "progress_key": "v1362677138", "edit_slug": "edit/v/1362677138", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.", "extra_properties": {"originalUrl": ""}, "node_slug": "v/tice-art-1010--medieval-and-byzantine-art-mp4", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2013-02-08T21:36:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UpGsouOnxOU.mp4/UpGsouOnxOU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UpGsouOnxOU.mp4/UpGsouOnxOU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UpGsouOnxOU.m3u8/UpGsouOnxOU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UpGsouOnxOU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1362677138", "sha": "0d09d85460fc290370adaf87a3c77511576ba975", "translated_description": "A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.", "image_url": "https://img.youtube.com/vi/UpGsouOnxOU/hqdefault.jpg", "youtube_id": "UpGsouOnxOU", "content_kind": "Video", "readable_id": "tice-art-1010--medieval-and-byzantine-art-mp4"}, {"translated_youtube_id": "e_Us5TGPFe0", "relative_url": "/video/manuscripts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/manuscripts", "duration": 207, "translated_title": "Manuscripts: Major works of art", "translated_description_html": "

\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+<\/a><\/p>", "id": "xef680044", "description_html": "

\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+<\/a><\/p>", "title": "Manuscripts: Major works of art", "progress_key": "vxef680044", "edit_slug": "edit/v/xef680044", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/manuscripts", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.mp4/e_Us5TGPFe0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.mp4/e_Us5TGPFe0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.m3u8/e_Us5TGPFe0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e_Us5TGPFe0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxef680044", "sha": "c2efc8707b110aed6006c986bc7e6768abb93fa4", "translated_description": "\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/e_Us5TGPFe0/hqdefault.jpg", "youtube_id": "e_Us5TGPFe0", "content_kind": "Video", "readable_id": "manuscripts"}, {"translated_youtube_id": "HKBJkf2xbqI", "relative_url": "/video/structure-medieval-manuscript", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structure-medieval-manuscript", "duration": 128, "translated_title": "The structure of a medieval manuscript", "translated_description_html": "

For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x2799e69b", "description_html": "

For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The structure of a medieval manuscript", "progress_key": "vx2799e69b", "edit_slug": "edit/v/x2799e69b", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/structure-medieval-manuscript", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.mp4/HKBJkf2xbqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.mp4/HKBJkf2xbqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.m3u8/HKBJkf2xbqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HKBJkf2xbqI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2799e69b", "sha": "5cd3b652062ee057afa49e13d6ddf633e0d8576c", "translated_description": "For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/HKBJkf2xbqI/hqdefault.jpg", "youtube_id": "HKBJkf2xbqI", "content_kind": "Video", "readable_id": "structure-medieval-manuscript"}, {"translated_youtube_id": "h2CcewghKoo", "relative_url": "/video/medieval-calendar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/medieval-calendar", "duration": 270, "translated_title": "The medieval calendar", "translated_description_html": "

The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xb59f5972", "description_html": "

The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The medieval calendar", "progress_key": "vxb59f5972", "edit_slug": "edit/v/xb59f5972", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/medieval-calendar", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.mp4/h2CcewghKoo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.mp4/h2CcewghKoo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.m3u8/h2CcewghKoo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h2CcewghKoo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb59f5972", "sha": "6bcd8e31fb9a58344c2b229478a37f7c0d8480d6", "translated_description": "The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/h2CcewghKoo/hqdefault.jpg", "youtube_id": "h2CcewghKoo", "content_kind": "Video", "readable_id": "medieval-calendar"}, {"translated_youtube_id": "6Og8EvH_2mY", "relative_url": "/video/medieval-goldsmiths", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/medieval-goldsmiths", "duration": 314, "translated_title": "Medieval goldsmiths - Treasures of Heaven at the British Museum", "translated_description_html": "

Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition. <\/p>", "id": "x42923f86", "description_html": "

Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition. <\/p>", "title": "Medieval goldsmiths - Treasures of Heaven at the British Museum", "progress_key": "vx42923f86", "edit_slug": "edit/v/x42923f86", "author_names": [], "deleted_mod_time": null, "description": "Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition. ", "extra_properties": {}, "node_slug": "v/medieval-goldsmiths", "deleted": false, "backup_timestamp": "2013-10-05T12:29:04Z", "date_added": "2013-10-05T12:29:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Og8EvH_2mY.mp4/6Og8EvH_2mY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Og8EvH_2mY.mp4/6Og8EvH_2mY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Og8EvH_2mY.m3u8/6Og8EvH_2mY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Og8EvH_2mY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx42923f86", "sha": "82e9a0f3b61ccb62449101def6d487374f5c3b8d", "translated_description": "Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition. ", "image_url": "https://img.youtube.com/vi/6Og8EvH_2mY/hqdefault.jpg", "youtube_id": "6Og8EvH_2mY", "content_kind": "Video", "readable_id": "medieval-goldsmiths"}], "twitter_url": "", "translated_description": "An overview of Europe in the middle ages.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "An overview of Europe in the middle ages.", "x_pos": 0.0, "node_slug": "a-beginners-guide-to-the-medieval-period", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:38:55Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax69888f93", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/a-beginners-guide-to-the-medieval-period", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/a-beginners-guide-to-the-medieval-period", "slug": "a-beginners-guide-to-the-medieval-period", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e41ffea08044c644d0fd8e9d70eeb948e1308c29", "standalone_title": "A Beginner's Guide to the Medieval Period", "y_pos": 0.0, "current_revision_key": "e41ffea08044c644d0fd8e9d70eeb948e1308c29", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/early-christian", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/early-christian", "translated_standalone_title": "Art History: Early Christian", "translated_title": "Early Christian", "gplus_url": "", "id": "xa8f1b661", "old_key_name": "JIjsrP6zUBfVvs6yDcKoBwbRklDs5mGUvubqUGl2", "hide": false, "title": "Early Christian", "child_data": [{"kind": "Article", "id": "x3a5c3e8a"}, {"kind": "Article", "id": "x11ccc801"}, {"kind": "Article", "id": "x34afd775"}, {"kind": "Article", "id": "x30e459d3"}, {"kind": "Video", "id": 671563205}, {"kind": "Video", "id": 671260986}, {"kind": "Video", "id": 671260987}, {"kind": "Video", "id": "x457c9163"}, {"kind": "Exercise", "id": "x17c19b86"}], "children": [{"translated_youtube_id": "UjX4ExCixWY", "relative_url": "/video/sarcophagus-of-junius-bassus--marble--359-c-e", "has_questions": false, "keywords": "Sarcophagus, Basilica of St. Peters, Early Christian Art, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/sarcophagus-of-junius-bassus--marble--359-c-e", "duration": 267, "translated_title": "Sarcophagus of Junius Bassus", "translated_description_html": "Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter's Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter's Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html", "id": "671563205", "description_html": "Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter's Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter's Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html", "title": "Sarcophagus of Junius Bassus", "progress_key": "v671563205", "edit_slug": "edit/v/671563205", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter's Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter's Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/sarcophagus-of-junius-bassus"}, "node_slug": "v/sarcophagus-of-junius-bassus--marble--359-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UjX4ExCixWY.mp4/UjX4ExCixWY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UjX4ExCixWY.mp4/UjX4ExCixWY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UjX4ExCixWY.m3u8/UjX4ExCixWY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UjX4ExCixWY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563205", "sha": "d61cc01e7e71f5c9d044dbc05a4da77741209651", "translated_description": "Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter's Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter's Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html", "image_url": "https://img.youtube.com/vi/UjX4ExCixWY/hqdefault.jpg", "youtube_id": "UjX4ExCixWY", "content_kind": "Video", "readable_id": "sarcophagus-of-junius-bassus--marble--359-c-e"}, {"translated_youtube_id": "VeZ3_VZytPw", "relative_url": "/video/basilica-of-santa-sabina--rome--c--432", "has_questions": false, "keywords": "smarthistory, Khan Academy, Art History, Basilica, Rome, Santa Sabina", "ka_url": "http://www.khanacademy.org/video/basilica-of-santa-sabina--rome--c--432", "duration": 214, "translated_title": "Santa Sabina", "translated_description_html": "Basilica of Santa Sabina, Rome, c. 432.", "id": "671260986", "description_html": "Basilica of Santa Sabina, Rome, c. 432.", "title": "Santa Sabina", "progress_key": "v671260986", "edit_slug": "edit/v/671260986", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basilica of Santa Sabina, Rome, c. 432.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/santa-sabina"}, "node_slug": "v/basilica-of-santa-sabina--rome--c--432", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VeZ3_VZytPw.mp4/VeZ3_VZytPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VeZ3_VZytPw.mp4/VeZ3_VZytPw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VeZ3_VZytPw.m3u8/VeZ3_VZytPw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VeZ3_VZytPw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260986", "sha": "6adec1e63c933fa89d93843ebb28be0ed69eb02b", "translated_description": "Basilica of Santa Sabina, Rome, c. 432.", "image_url": "https://img.youtube.com/vi/VeZ3_VZytPw/hqdefault.jpg", "youtube_id": "VeZ3_VZytPw", "content_kind": "Video", "readable_id": "basilica-of-santa-sabina--rome--c--432"}, {"translated_youtube_id": "S2P4I_hFnFI", "relative_url": "/video/basilica-of-santa-maria-maggiore--rome--5th-century-a-d", "has_questions": false, "keywords": "Smarthistory, Art History, Basilica, Santa Maria Maggiore, Context Travel, Khan Academy", "ka_url": "http://www.khanacademy.org/video/basilica-of-santa-maria-maggiore--rome--5th-century-a-d", "duration": 278, "translated_title": "Santa Maria Maggiore", "translated_description_html": "Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.", "id": "671260987", "description_html": "Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.", "title": "Santa Maria Maggiore", "progress_key": "v671260987", "edit_slug": "edit/v/671260987", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/santa-maria-maggiore"}, "node_slug": "v/basilica-of-santa-maria-maggiore--rome--5th-century-a-d", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S2P4I_hFnFI.mp4/S2P4I_hFnFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S2P4I_hFnFI.mp4/S2P4I_hFnFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S2P4I_hFnFI.m3u8/S2P4I_hFnFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S2P4I_hFnFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260987", "sha": "f75b9e17dea5a1ced0765272f7615e2587792d6b", "translated_description": "Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.", "image_url": "https://img.youtube.com/vi/S2P4I_hFnFI/hqdefault.jpg", "youtube_id": "S2P4I_hFnFI", "content_kind": "Video", "readable_id": "basilica-of-santa-maria-maggiore--rome--5th-century-a-d"}, {"translated_youtube_id": "yvnr0wnmoGY", "relative_url": "/video/the-mausoleum-of-galla-placidia--ravenna", "has_questions": false, "keywords": "Mausoleum, Galla Placidia, 425, Ravenna, Italy, Early Christian, Byzantine, mosaic", "ka_url": "http://www.khanacademy.org/video/the-mausoleum-of-galla-placidia--ravenna", "duration": 488, "translated_title": "The Mausoleum of Galla Placidia, Ravenna", "translated_description_html": "The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x457c9163", "description_html": "The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "The Mausoleum of Galla Placidia, Ravenna", "progress_key": "vx457c9163", "edit_slug": "edit/v/x457c9163", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-mausoleum-of-galla-placidia.html"}, "node_slug": "v/the-mausoleum-of-galla-placidia--ravenna", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-04T14:48:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yvnr0wnmoGY.mp4/yvnr0wnmoGY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yvnr0wnmoGY.mp4/yvnr0wnmoGY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yvnr0wnmoGY.m3u8/yvnr0wnmoGY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yvnr0wnmoGY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx457c9163", "sha": "b658f419a29d65539fbbfa6fe6db11ce96c3a0ac", "translated_description": "The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/yvnr0wnmoGY/hqdefault.jpg", "youtube_id": "yvnr0wnmoGY", "content_kind": "Video", "readable_id": "the-mausoleum-of-galla-placidia--ravenna"}], "twitter_url": "", "translated_description": "The first Christians were often persecuted in the Ancient Roman empire, but when—thanks to Constantine—Christianity became legal in the 4th century, Christians could worship openly and the first churches were built in Rome and Christians could be buried in tombs sculpted with Christian imagery. This tutorial takes you on a tour of early Christian churches, and takes a close look at the sarcophagus of a Roman senator who died in 359.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The first Christians were often persecuted in the Ancient Roman empire, but when—thanks to Constantine—Christianity became legal in the 4th century, Christians could worship openly and the first churches were built in Rome and Christians could be buried in tombs sculpted with Christian imagery. This tutorial takes you on a tour of early Christian churches, and takes a close look at the sarcophagus of a Roman senator who died in 359.", "x_pos": 0.0, "node_slug": "early-christian", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-02T21:42:41Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa8f1b661", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/early-christian", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/early-christian", "slug": "early-christian", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "be88cff195c0ccaaa54509fa660b7b8a45332fe4", "standalone_title": "Art History: Early Christian", "y_pos": 0.0, "current_revision_key": "be88cff195c0ccaaa54509fa660b7b8a45332fe4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/anglo-saxon-england", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/anglo-saxon-england", "translated_standalone_title": "Art History: Early Medieval Art", "translated_title": "Early Medieval Art", "gplus_url": "", "id": "x928e6602", "old_key_name": "-ddSf5c79Tm38n7_Qdu0bOPt9B9HeFmqIGdauJcJ", "hide": false, "title": "Early Medieval Art", "child_data": [{"kind": "Article", "id": "x1b10b412"}, {"kind": "Video", "id": 669432578}, {"kind": "Article", "id": "x74ec8905"}, {"kind": "Exercise", "id": "x9959456c"}], "children": [{"translated_youtube_id": "dWxcQZBM3eQ", "relative_url": "/video/sutton-hoo-ship-burial--c--700", "has_questions": false, "keywords": "sutton Hoo, Medieval, Art History, Anglo-Saxon, British Museum, Smarthistory", "ka_url": "http://www.khanacademy.org/video/sutton-hoo-ship-burial--c--700", "duration": 263, "translated_title": "Sutton Hoo ship burial", "translated_description_html": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "669432578", "description_html": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Sutton Hoo ship burial", "progress_key": "v669432578", "edit_slug": "edit/v/669432578", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sutton-hoo-ship-burial.html"}, "node_slug": "v/sutton-hoo-ship-burial--c--700", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:11:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.mp4/dWxcQZBM3eQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.mp4/dWxcQZBM3eQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dWxcQZBM3eQ.m3u8/dWxcQZBM3eQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dWxcQZBM3eQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432578", "sha": "9ef581f243953de57eaf59a424ac1fec830a5855", "translated_description": "Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/dWxcQZBM3eQ/hqdefault.jpg", "youtube_id": "dWxcQZBM3eQ", "content_kind": "Video", "readable_id": "sutton-hoo-ship-burial--c--700"}], "twitter_url": "", "translated_description": "Christian art, which was initially influenced by the illusionary quality of classical art, started to move away from naturalistic representation and instead pushed toward abstraction. Artists began to abandon classical artistic conventions like shading, modeling and perspective—conventions that make the image appear more real. They no longer observed details in nature to record them in paint, bronze, marble, or mosaic.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Christian art, which was initially influenced by the illusionary quality of classical art, started to move away from naturalistic representation and instead pushed toward abstraction. Artists began to abandon classical artistic conventions like shading, modeling and perspective—conventions that make the image appear more real. They no longer observed details in nature to record them in paint, bronze, marble, or mosaic.", "x_pos": 0.0, "node_slug": "anglo-saxon-england", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-27T18:41:52Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax928e6602", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/anglo-saxon-england", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/anglo-saxon-england", "slug": "anglo-saxon-england", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9c7b59b492c6a3dab50e4ecb4ef5d111cdbdd70a", "standalone_title": "Art History: Early Medieval Art", "y_pos": 0.0, "current_revision_key": "9c7b59b492c6a3dab50e4ecb4ef5d111cdbdd70a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/byzantine", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/byzantine", "translated_standalone_title": "Art History: Byzantine", "translated_title": "Byzantine", "gplus_url": "", "id": "x081edb05", "old_key_name": "wYTPfPqEtbB7DZHFLG9qVgsefGpOpACHkHaZpryg", "hide": false, "title": "Byzantine", "child_data": [{"kind": "Video", "id": 671539948}, {"kind": "Video", "id": "x12d7a2f1"}, {"kind": "Article", "id": "x94b961c7"}, {"kind": "Video", "id": 671711106}, {"kind": "Video", "id": 671686558}, {"kind": "Video", "id": 671539955}, {"kind": "Video", "id": "x7c815516"}, {"kind": "Exercise", "id": "x3176e26c"}], "children": [{"translated_youtube_id": "It3i-dKusIM", "relative_url": "/video/justinian-and-his-attendants--6th-century--ravenna", "has_questions": false, "keywords": "Justinian, San Vitale, byzantine, art, art history, smarthistory, ravenna", "ka_url": "http://www.khanacademy.org/video/justinian-and-his-attendants--6th-century--ravenna", "duration": 618, "translated_title": "San Vitale", "translated_description_html": "San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671539948", "description_html": "San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "San Vitale", "progress_key": "v671539948", "edit_slug": "edit/v/671539948", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/byzantine-justinian"}, "node_slug": "v/justinian-and-his-attendants--6th-century--ravenna", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/It3i-dKusIM.mp4/It3i-dKusIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/It3i-dKusIM.mp4/It3i-dKusIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/It3i-dKusIM.m3u8/It3i-dKusIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=It3i-dKusIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539948", "sha": "8376a1475c8a63a789212551e3f4a8d52a8873b6", "translated_description": "San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/It3i-dKusIM/hqdefault.jpg", "youtube_id": "It3i-dKusIM", "content_kind": "Video", "readable_id": "justinian-and-his-attendants--6th-century--ravenna"}, {"translated_youtube_id": "HjwELgIh_qc", "relative_url": "/video/sant-apollinare-in-classe", "has_questions": false, "keywords": "art history, Byzantine", "ka_url": "http://www.khanacademy.org/video/sant-apollinare-in-classe", "duration": 254, "translated_title": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49", "translated_description_html": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century, triumphal arch mosaics, likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x12d7a2f1", "description_html": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century, triumphal arch mosaics, likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49", "progress_key": "vx12d7a2f1", "edit_slug": "edit/v/x12d7a2f1", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century, triumphal arch mosaics, likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/santapollinare-in-classe.html"}, "node_slug": "v/sant-apollinare-in-classe", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-25T13:47:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HjwELgIh_qc.mp4/HjwELgIh_qc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HjwELgIh_qc.mp4/HjwELgIh_qc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HjwELgIh_qc.m3u8/HjwELgIh_qc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HjwELgIh_qc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx12d7a2f1", "sha": "033426481db6b3ea98518555067e1df91ff12020", "translated_description": "Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century, triumphal arch mosaics, likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/HjwELgIh_qc/hqdefault.jpg", "youtube_id": "HjwELgIh_qc", "content_kind": "Video", "readable_id": "sant-apollinare-in-classe"}, {"translated_youtube_id": "f7J0WQsajX8", "relative_url": "/video/byzantine-panel-with-archangel--c--525-50", "has_questions": false, "keywords": "Byzantine Empire Archangel, smarthistory, art history, Ivory", "ka_url": "http://www.khanacademy.org/video/byzantine-panel-with-archangel--c--525-50", "duration": 265, "translated_title": "Ivory panel with Archangel", "translated_description_html": "Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey), (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: \"Receive the suppliant before you, despite his sinfulness.\"\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html", "id": "671711106", "description_html": "Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey), (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: \"Receive the suppliant before you, despite his sinfulness.\"\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html", "title": "Ivory panel with Archangel", "progress_key": "v671711106", "edit_slug": "edit/v/671711106", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey), (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: \"Receive the suppliant before you, despite his sinfulness.\"\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ivory-panel-with-archangel"}, "node_slug": "v/byzantine-panel-with-archangel--c--525-50", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/f7J0WQsajX8.mp4/f7J0WQsajX8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f7J0WQsajX8.mp4/f7J0WQsajX8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f7J0WQsajX8.m3u8/f7J0WQsajX8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=f7J0WQsajX8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711106", "sha": "70e25233dfecb8a42a7fe6b76f4eba5e6ad6d256", "translated_description": "Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey), (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: \"Receive the suppliant before you, despite his sinfulness.\"\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html", "image_url": "https://img.youtube.com/vi/f7J0WQsajX8/hqdefault.jpg", "youtube_id": "f7J0WQsajX8", "content_kind": "Video", "readable_id": "byzantine-panel-with-archangel--c--525-50"}, {"translated_youtube_id": "OdRBzITeIcs", "relative_url": "/video/icon-of-saint-george--the--black-george----late-14th-century", "has_questions": false, "keywords": "St George Icon, British Museum, Art History, Khan Academy, Smarthistory, Saint George", "ka_url": "http://www.khanacademy.org/video/icon-of-saint-george--the--black-george----late-14th-century", "duration": 251, "translated_title": "Icon of Saint George (the \"Black George\")", "translated_description_html": "Icon of Saint George (the \"Black George\"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "id": "671686558", "description_html": "Icon of Saint George (the \"Black George\"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "title": "Icon of Saint George (the \"Black George\")", "progress_key": "v671686558", "edit_slug": "edit/v/671686558", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Icon of Saint George (the \"Black George\"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/icon-of-saint-george-the-black-george"}, "node_slug": "v/icon-of-saint-george--the--black-george----late-14th-century", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OdRBzITeIcs.mp4/OdRBzITeIcs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OdRBzITeIcs.mp4/OdRBzITeIcs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OdRBzITeIcs.m3u8/OdRBzITeIcs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OdRBzITeIcs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686558", "sha": "ff9ffd2f562a05fdde8b7d859f587b0ff243e32b", "translated_description": "Icon of Saint George (the \"Black George\"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "image_url": "https://img.youtube.com/vi/OdRBzITeIcs/hqdefault.jpg", "youtube_id": "OdRBzITeIcs", "content_kind": "Video", "readable_id": "icon-of-saint-george--the--black-george----late-14th-century"}, {"translated_youtube_id": "ZH0P0uBY3PY", "relative_url": "/video/icon-of-the-triumph-of-orthodoxy--byzantine---c--1400", "has_questions": false, "keywords": "Triumph of Orthodoxy, British Museum, Khan Academy, Smarthistory, Art History, Byzantine", "ka_url": "http://www.khanacademy.org/video/icon-of-the-triumph-of-orthodoxy--byzantine---c--1400", "duration": 381, "translated_title": "Icon of the Triumph of Orthodoxy", "translated_description_html": "Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "id": "671539955", "description_html": "Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "title": "Icon of the Triumph of Orthodoxy", "progress_key": "v671539955", "edit_slug": "edit/v/671539955", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/icon-of-the-triumph-of-orthodoxy"}, "node_slug": "v/icon-of-the-triumph-of-orthodoxy--byzantine---c--1400", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZH0P0uBY3PY.mp4/ZH0P0uBY3PY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZH0P0uBY3PY.mp4/ZH0P0uBY3PY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZH0P0uBY3PY.m3u8/ZH0P0uBY3PY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZH0P0uBY3PY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539955", "sha": "d0ddcdc43d9fb2e033bc6a136ee7ccf916f76ad5", "translated_description": "Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "image_url": "https://img.youtube.com/vi/ZH0P0uBY3PY/hqdefault.jpg", "youtube_id": "ZH0P0uBY3PY", "content_kind": "Video", "readable_id": "icon-of-the-triumph-of-orthodoxy--byzantine---c--1400"}, {"translated_youtube_id": "B679jxNi7zg", "relative_url": "/video/icons-of-saint-catherine-monastery", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/icons-of-saint-catherine-monastery", "duration": 567, "translated_title": "The icons of Saint Catherine's Monastery, Sinai, Egypt", "translated_description_html": "

A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+<\/a><\/p>", "id": "x7c815516", "description_html": "

A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+<\/a><\/p>", "title": "The icons of Saint Catherine's Monastery, Sinai, Egypt", "progress_key": "vx7c815516", "edit_slug": "edit/v/x7c815516", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/icons-of-saint-catherine-monastery", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.mp4/B679jxNi7zg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.mp4/B679jxNi7zg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.m3u8/B679jxNi7zg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B679jxNi7zg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7c815516", "sha": "2fe9bc8622d5694d38a34d2bc197462bb3f4c36e", "translated_description": "A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/B679jxNi7zg/hqdefault.jpg", "youtube_id": "B679jxNi7zg", "content_kind": "Video", "readable_id": "icons-of-saint-catherine-monastery"}], "twitter_url": "", "translated_description": "Today, we know the city of Constantinople as Istanbul (in fact there’s a song about that!). But even before it was Constantinople, it was the ancient city of Byzantium, and it was renamed Constantinople (city of Constantine) by none other than the Emperor Constantine himself (it’s good to be the emperor!). From there a succession of emperors ruled the Byzantine empire as the Roman empire dissolved. For two centuries, the Byzantine empire even included the Italian city of Ravenna, where many churches decorated with astoundingly beautiful mosaics can still be found. In Byzantine art we see a departure from the naturalism of the ancient Greek and Roman world. Figures float in ethereal gold heavenly spaces in mosaics, and we find intricate carvings made from ivory, a luxurious material imported from Africa.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Today, we know the city of Constantinople as Istanbul (in fact there’s a song about that!). But even before it was Constantinople, it was the ancient city of Byzantium, and it was renamed Constantinople (city of Constantine) by none other than the Emperor Constantine himself (it’s good to be the emperor!). From there a succession of emperors ruled the Byzantine empire as the Roman empire dissolved. For two centuries, the Byzantine empire even included the Italian city of Ravenna, where many churches decorated with astoundingly beautiful mosaics can still be found. In Byzantine art we see a departure from the naturalism of the ancient Greek and Roman world. Figures float in ethereal gold heavenly spaces in mosaics, and we find intricate carvings made from ivory, a luxurious material imported from Africa.", "x_pos": 0.0, "node_slug": "byzantine", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-29T22:19:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax081edb05", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/byzantine", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/byzantine", "slug": "byzantine", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd523be80fa1eb86a59ac58ea04f4f7ea4398286", "standalone_title": "Art History: Byzantine", "y_pos": 0.0, "current_revision_key": "bd523be80fa1eb86a59ac58ea04f4f7ea4398286", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/islamic-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/islamic-art", "translated_standalone_title": "Art History: Islamic Art", "translated_title": "Arts of the Islamic world", "gplus_url": "", "id": "xd93410e3", "old_key_name": "xrb54TR3WlRwBCMjOfB0YHDTHbHuTAT34JRiFL71", "hide": false, "title": "Arts of the Islamic world", "child_data": [{"kind": "Article", "id": "xb77dee43"}, {"kind": "Article", "id": "x7f25971c"}, {"kind": "Article", "id": "x6515a5af"}, {"kind": "Video", "id": "xaf6ef088"}, {"kind": "Article", "id": "x6fd21700"}, {"kind": "Article", "id": "x93af2435"}, {"kind": "Video", "id": 873031521}, {"kind": "Video", "id": 824564443}, {"kind": "Video", "id": 916778089}, {"kind": "Video", "id": 1272001346}, {"kind": "Article", "id": "x32fdad41"}, {"kind": "Article", "id": "x46650bea"}, {"kind": "Article", "id": "x4c5ce64d"}, {"kind": "Exercise", "id": "xa371ec9c"}], "children": [{"translated_youtube_id": "r5l5Cwge7yk", "relative_url": "/video/modern-pilgrimage-stories", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/modern-pilgrimage-stories", "duration": 237, "translated_title": "Stories of the modern pilgrimage (from the British Museum)", "translated_description_html": "

Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the British Museum asked what this journey is like...
<\/p>", "id": "xaf6ef088", "description_html": "

Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the British Museum asked what this journey is like...
<\/p>", "title": "Stories of the modern pilgrimage (from the British Museum)", "progress_key": "vxaf6ef088", "edit_slug": "edit/v/xaf6ef088", "author_names": [], "deleted_mod_time": null, "description": "Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the British Museum asked what this journey is like...", "extra_properties": {}, "node_slug": "v/modern-pilgrimage-stories", "deleted": false, "backup_timestamp": "2013-10-05T13:16:40Z", "date_added": "2013-10-05T13:16:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r5l5Cwge7yk.mp4/r5l5Cwge7yk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r5l5Cwge7yk.mp4/r5l5Cwge7yk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r5l5Cwge7yk.m3u8/r5l5Cwge7yk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r5l5Cwge7yk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxaf6ef088", "sha": "70a164a37b964a46918e67e483c2651c23f0303b", "translated_description": "Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the British Museum asked what this journey is like...", "image_url": "https://img.youtube.com/vi/r5l5Cwge7yk/hqdefault.jpg", "youtube_id": "r5l5Cwge7yk", "content_kind": "Video", "readable_id": "modern-pilgrimage-stories"}, {"translated_youtube_id": "4S9Bqo_LX7k", "relative_url": "/video/royal-figures--iran--saljuq-period", "has_questions": false, "keywords": "Royal, Figures, Iran, Saljuq, Seljuq, stucco, Metropolitan, Museum, of, Art, Islamic, Islam, sculpture, Smarthistory, Khan Academy", "ka_url": "http://www.khanacademy.org/video/royal-figures--iran--saljuq-period", "duration": 317, "translated_title": "Two royal figures (Saljuq Period)", "translated_description_html": "A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of \n\"Two Royal Figures,\" Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art)\n\nFor more information, visit: http://smarthistory.khanacademy.org./royal-figures-saljuq-period.html", "id": "873031521", "description_html": "A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of \n\"Two Royal Figures,\" Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art)\n\nFor more information, visit: http://smarthistory.khanacademy.org./royal-figures-saljuq-period.html", "title": "Two royal figures (Saljuq Period)", "progress_key": "v873031521", "edit_slug": "edit/v/873031521", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of \n\"Two Royal Figures,\" Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art)\n\nFor more information, visit: http://smarthistory.khanacademy.org./royal-figures-saljuq-period.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/royal-figures-saljuq-period"}, "node_slug": "v/royal-figures--iran--saljuq-period", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-06-26T08:01:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4S9Bqo_LX7k.mp4/4S9Bqo_LX7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4S9Bqo_LX7k.mp4/4S9Bqo_LX7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4S9Bqo_LX7k.m3u8/4S9Bqo_LX7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4S9Bqo_LX7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v873031521", "sha": "e7b8bf7ec64fc10f302d6e94d3b63671b0674cac", "translated_description": "A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of \n\"Two Royal Figures,\" Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art)\n\nFor more information, visit: http://smarthistory.khanacademy.org./royal-figures-saljuq-period.html", "image_url": "https://img.youtube.com/vi/4S9Bqo_LX7k/hqdefault.jpg", "youtube_id": "4S9Bqo_LX7k", "content_kind": "Video", "readable_id": "royal-figures--iran--saljuq-period"}, {"translated_youtube_id": "JOkEfbaaK-o", "relative_url": "/video/coronation-mantle--new", "has_questions": false, "keywords": "Neue Hofburg, Vienna 1133, Palermo, Norman, Cape, Cloak, mantle, coronation, Roger II, educational, Vienna (City/Town/Village)", "ka_url": "http://www.khanacademy.org/video/coronation-mantle--new", "duration": 247, "translated_title": "Coronation mantle", "translated_description_html": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "id": "824564443", "description_html": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "title": "Coronation mantle", "progress_key": "v824564443", "edit_slug": "edit/v/824564443", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/coronation-mantle.html"}, "node_slug": "v/coronation-mantle--new", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-06-06T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.mp4/JOkEfbaaK-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.mp4/JOkEfbaaK-o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JOkEfbaaK-o.m3u8/JOkEfbaaK-o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JOkEfbaaK-o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v824564443", "sha": "f4f2eed0ef320aa2e112633364a0f5997b1647ee", "translated_description": "Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonné enamel. \n\nThe Kufic script reads: \"This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528\" (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna.", "image_url": "https://img.youtube.com/vi/JOkEfbaaK-o/hqdefault.jpg", "youtube_id": "JOkEfbaaK-o", "content_kind": "Video", "readable_id": "coronation-mantle--new"}, {"translated_youtube_id": "hXNFjOhrihI", "relative_url": "/video/ilkhanid-mihrab--1354-55--isfahan--iran--metropolitan-museum-of-art--new-york", "has_questions": false, "keywords": "Smarthistory, Khan Academy, Art History, Islamic Art, Art, Mihrab, Ilkhanid, Isfahan, Esfahan, Iran, Iranian Art", "ka_url": "http://www.khanacademy.org/video/ilkhanid-mihrab--1354-55--isfahan--iran--metropolitan-museum-of-art--new-york", "duration": 341, "translated_title": "Ilkhanid Mihrab", "translated_description_html": "Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York)", "id": "916778089", "description_html": "Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York)", "title": "Ilkhanid Mihrab", "progress_key": "v916778089", "edit_slug": "edit/v/916778089", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/mihrab"}, "node_slug": "v/ilkhanid-mihrab--1354-55--isfahan--iran--metropolitan-museum-of-art--new-york", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-24T21:08:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hXNFjOhrihI.mp4/hXNFjOhrihI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hXNFjOhrihI.mp4/hXNFjOhrihI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hXNFjOhrihI.m3u8/hXNFjOhrihI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hXNFjOhrihI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v916778089", "sha": "2653fade7908ad520c6cf57d388f50a899140a8d", "translated_description": "Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York)", "image_url": "https://img.youtube.com/vi/hXNFjOhrihI/hqdefault.jpg", "youtube_id": "hXNFjOhrihI", "content_kind": "Video", "readable_id": "ilkhanid-mihrab--1354-55--isfahan--iran--metropolitan-museum-of-art--new-york"}, {"translated_youtube_id": "n9C7sMb7MmI", "relative_url": "/video/damascus-room", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/damascus-room", "duration": 400, "translated_title": "Qa'a: The Damascus room", "translated_description_html": "

Reception Room (Qa'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in the Damascus Room<\/p>\n", "id": "1272001346", "description_html": "

Reception Room (Qa'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in the Damascus Room<\/p>\n", "title": "Qa'a: The Damascus room", "progress_key": "v1272001346", "edit_slug": "edit/v/1272001346", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Reception Room (Qa'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in the Damascus Room\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/qaa-the-damascus-room"}, "node_slug": "v/damascus-room", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2013-01-07T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n9C7sMb7MmI.mp4/n9C7sMb7MmI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n9C7sMb7MmI.mp4/n9C7sMb7MmI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n9C7sMb7MmI.m3u8/n9C7sMb7MmI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n9C7sMb7MmI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1272001346", "sha": "e5712ee1979893038ad259b24502727c11165e14", "translated_description": "Reception Room (Qa'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in the Damascus Room\n", "image_url": "https://img.youtube.com/vi/n9C7sMb7MmI/hqdefault.jpg", "youtube_id": "n9C7sMb7MmI", "content_kind": "Video", "readable_id": "damascus-room"}], "twitter_url": "", "translated_description": "More than 1 billion people call themselves muslim and this monotheistic religion is now estimated to be the second largest in the world. Islamic culture was among the most advanced and tolerant during the Medieval era. Cities from Isfahan in the East to Grenada in the West became important centers of art and learning. This tutorial looks at the sculpture, tilework, costume and interior spaces of this brilliant culture.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "More than 1 billion people call themselves muslim and this monotheistic religion is now estimated to be the second largest in the world. Islamic culture was among the most advanced and tolerant during the Medieval era. Cities from Isfahan in the East to Grenada in the West became important centers of art and learning. This tutorial looks at the sculpture, tilework, costume and interior spaces of this brilliant culture.", "x_pos": 0.0, "node_slug": "islamic-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T16:38:55Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd93410e3", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/islamic-art", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/islamic-art", "slug": "islamic-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6742269c57ca4d612ada2fd72c180624b4cde78a", "standalone_title": "Art History: Islamic Art", "y_pos": 0.0, "current_revision_key": "6742269c57ca4d612ada2fd72c180624b4cde78a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/carolingian", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/carolingian", "translated_standalone_title": "Carolingian", "translated_title": "Carolingian", "gplus_url": "", "id": "xed240994", "old_key_name": null, "hide": false, "title": "Carolingian", "child_data": [{"kind": "Article", "id": "x2f7141f9"}, {"kind": "Video", "id": "x60cdbb94"}, {"kind": "Video", "id": "x5c43baef"}, {"kind": "Video", "id": "xa1a749eb"}, {"kind": "Video", "id": "x26478043"}, {"kind": "Video", "id": 671563206}, {"kind": "Exercise", "id": "xec1a9267"}], "children": [{"translated_youtube_id": "j4PI8dEWTGE", "relative_url": "/video/charlemagne-an-introduction", "has_questions": false, "keywords": "Charlemagne, Carolingian, medieval", "ka_url": "http://www.khanacademy.org/video/charlemagne-an-introduction", "duration": 470, "translated_title": "Charlemagne: An introduction (1 of 2)", "translated_description_html": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x60cdbb94", "description_html": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Charlemagne: An introduction (1 of 2)", "progress_key": "vx60cdbb94", "edit_slug": "edit/v/x60cdbb94", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/charlemagne-an-introduction.html"}, "node_slug": "v/charlemagne-an-introduction", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-06-15T01:05:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.mp4/j4PI8dEWTGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.mp4/j4PI8dEWTGE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j4PI8dEWTGE.m3u8/j4PI8dEWTGE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j4PI8dEWTGE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx60cdbb94", "sha": "adc1e3f13380cbffa5e40085c6bb705c5eab3a66", "translated_description": "Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/j4PI8dEWTGE/hqdefault.jpg", "youtube_id": "j4PI8dEWTGE", "content_kind": "Video", "readable_id": "charlemagne-an-introduction"}, {"translated_youtube_id": "pyDPJENZOs0", "relative_url": "/video/charlemagne-and-the-carolingian-revival", "has_questions": false, "keywords": "charlemagne, Carolingian, medieval", "ka_url": "http://www.khanacademy.org/video/charlemagne-and-the-carolingian-revival", "duration": 695, "translated_title": "Charlemagne and the Carolingian revival (part 2 of 2)", "translated_description_html": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x5c43baef", "description_html": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Charlemagne and the Carolingian revival (part 2 of 2)", "progress_key": "vx5c43baef", "edit_slug": "edit/v/x5c43baef", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/charlemagne-and-the-carolingian-revival.html"}, "node_slug": "v/charlemagne-and-the-carolingian-revival", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-06-15T01:05:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.mp4/pyDPJENZOs0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.mp4/pyDPJENZOs0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pyDPJENZOs0.m3u8/pyDPJENZOs0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pyDPJENZOs0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c43baef", "sha": "583e669e49320271297a3fe6cb1d2a569731566d", "translated_description": "A brief introduction to Charlemagne's military campaigns and the cultural revival that he supported.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pyDPJENZOs0/hqdefault.jpg", "youtube_id": "pyDPJENZOs0", "content_kind": "Video", "readable_id": "charlemagne-and-the-carolingian-revival"}, {"translated_youtube_id": "eqC8gVxxB-s", "relative_url": "/video/saint-matthew-from-the-ebbo-gospel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/saint-matthew-from-the-ebbo-gospel", "duration": 232, "translated_title": "Saint Matthew from the Ebbo Gospel", "translated_description_html": "Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Bibliothèque Municipale, Épernay) Speakers: Dr. Nancy Ross and Jennifer Freeman", "id": "xa1a749eb", "description_html": "Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Bibliothèque Municipale, Épernay) Speakers: Dr. Nancy Ross and Jennifer Freeman", "title": "Saint Matthew from the Ebbo Gospel", "progress_key": "vxa1a749eb", "edit_slug": "edit/v/xa1a749eb", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Bibliothèque Municipale, Épernay) Speakers: Dr. Nancy Ross and Jennifer Freeman", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/saint-matthew-from-the-ebbo-gospels.html"}, "node_slug": "v/saint-matthew-from-the-ebbo-gospel", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-21T23:11:32Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eqC8gVxxB-s.mp4/eqC8gVxxB-s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eqC8gVxxB-s.mp4/eqC8gVxxB-s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eqC8gVxxB-s.m3u8/eqC8gVxxB-s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eqC8gVxxB-s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa1a749eb", "sha": "a439f7c82eac8ec8898b77820fb216ed6279845f", "translated_description": "Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Bibliothèque Municipale, Épernay) Speakers: Dr. Nancy Ross and Jennifer Freeman", "image_url": "https://img.youtube.com/vi/eqC8gVxxB-s/hqdefault.jpg", "youtube_id": "eqC8gVxxB-s", "content_kind": "Video", "readable_id": "saint-matthew-from-the-ebbo-gospel"}, {"translated_youtube_id": "u5vM4rtUSQg", "relative_url": "/video/lindau-gospels-cover", "has_questions": false, "keywords": "medieval, book, cover, binding, gems, jewels, Lindau, Morgan, Gospels", "ka_url": "http://www.khanacademy.org/video/lindau-gospels-cover", "duration": 363, "translated_title": "Lindau Gospels cover", "translated_description_html": "Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker", "id": "x26478043", "description_html": "Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker", "title": "Lindau Gospels cover", "progress_key": "vx26478043", "edit_slug": "edit/v/x26478043", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lindau-gospels-cover.html"}, "node_slug": "v/lindau-gospels-cover", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2013-04-10T15:07:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/u5vM4rtUSQg.mp4/u5vM4rtUSQg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u5vM4rtUSQg.mp4/u5vM4rtUSQg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/u5vM4rtUSQg.m3u8/u5vM4rtUSQg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=u5vM4rtUSQg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx26478043", "sha": "555986b244c3fb41944a0c2e5d60e034cf422e8b", "translated_description": "Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/u5vM4rtUSQg/hqdefault.jpg", "youtube_id": "u5vM4rtUSQg", "content_kind": "Video", "readable_id": "lindau-gospels-cover"}, {"translated_youtube_id": "6FL81EVJTUE", "relative_url": "/video/mosaics--santa-prassede--rome--early-9th-century", "has_questions": false, "keywords": "Santa Prassede, Smarthistory, Khan Academy, Rome, Mosaics, Saint Pudens, Praxedes, Pudens, Context Travel", "ka_url": "http://www.khanacademy.org/video/mosaics--santa-prassede--rome--early-9th-century", "duration": 278, "translated_title": "Santa Prassede (Praxedes)", "translated_description_html": "Mosaics, Santa Prassede, Rome, early 9th century \n\nMosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. \n\nA Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)", "id": "671563206", "description_html": "Mosaics, Santa Prassede, Rome, early 9th century \n\nMosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. \n\nA Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)", "title": "Santa Prassede (Praxedes)", "progress_key": "v671563206", "edit_slug": "edit/v/671563206", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mosaics, Santa Prassede, Rome, early 9th century Mosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. A Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/santa-prassede.html"}, "node_slug": "v/mosaics--santa-prassede--rome--early-9th-century", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6FL81EVJTUE.mp4/6FL81EVJTUE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6FL81EVJTUE.mp4/6FL81EVJTUE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6FL81EVJTUE.m3u8/6FL81EVJTUE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6FL81EVJTUE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563206", "sha": "072e07e17b6a89caac832e695a648c1918bbb0a8", "translated_description": "Mosaics, Santa Prassede, Rome, early 9th century Mosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. A Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)", "image_url": "https://img.youtube.com/vi/6FL81EVJTUE/hqdefault.jpg", "youtube_id": "6FL81EVJTUE", "content_kind": "Video", "readable_id": "mosaics--santa-prassede--rome--early-9th-century"}], "twitter_url": "", "translated_description": "Charlemagne, King of the Franks and later Holy Roman Emperor, instigated a cultural revival known as the Carolingian Renaissance.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Charlemagne, King of the Franks and later Holy Roman Emperor, instigated a cultural revival known as the Carolingian Renaissance.", "x_pos": 0.0, "node_slug": "carolingian", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T14:41:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axed240994", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/carolingian", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/carolingian", "slug": "carolingian", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "775d2302a07c935e87a798477deb9330f026a449", "standalone_title": "Carolingian", "y_pos": 0.0, "current_revision_key": "775d2302a07c935e87a798477deb9330f026a449", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/ottonian", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/ottonian", "translated_standalone_title": "Ottonian", "translated_title": "Ottonian", "gplus_url": "", "id": "x386826d2", "old_key_name": null, "hide": false, "title": "Ottonian", "child_data": [{"kind": "Article", "id": "x4dff68de"}, {"kind": "Video", "id": "x425e42d1"}, {"kind": "Exercise", "id": "x19c8cd14"}], "children": [{"translated_youtube_id": "__pl88NO9Jw", "relative_url": "/video/saint-michaels-hildesheim", "has_questions": false, "keywords": "art history, ottonian, medieval art", "ka_url": "http://www.khanacademy.org/video/saint-michaels-hildesheim", "duration": 263, "translated_title": "Bronze doors, Saint Michael's, Hildesheim, commissioned by Bishop Bernward, 1015", "translated_description_html": "

Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael's, Hildesheim (Germany).<\/p>\n\n

A conversation with Dr. Nancy Ross and Jennifer Freeman.<\/p>\n", "id": "x425e42d1", "description_html": "

Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael's, Hildesheim (Germany).<\/p>\n\n

A conversation with Dr. Nancy Ross and Jennifer Freeman.<\/p>\n", "title": "Bronze doors, Saint Michael's, Hildesheim, commissioned by Bishop Bernward, 1015", "progress_key": "vx425e42d1", "edit_slug": "edit/v/x425e42d1", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael's, Hildesheim (Germany).\n\nA conversation with Dr. Nancy Ross and Jennifer Freeman.\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/bronze-doors-saint-michaels-hildesheim.html"}, "node_slug": "v/saint-michaels-hildesheim", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-09-11T18:20:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/__pl88NO9Jw.mp4/__pl88NO9Jw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/__pl88NO9Jw.mp4/__pl88NO9Jw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/__pl88NO9Jw.m3u8/__pl88NO9Jw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=__pl88NO9Jw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx425e42d1", "sha": "e0864aa572b20c354660bbba18f07f2d99367040", "translated_description": "Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael's, Hildesheim (Germany).\n\nA conversation with Dr. Nancy Ross and Jennifer Freeman.\n", "image_url": "https://img.youtube.com/vi/__pl88NO9Jw/hqdefault.jpg", "youtube_id": "__pl88NO9Jw", "content_kind": "Video", "readable_id": "saint-michaels-hildesheim"}], "twitter_url": "", "translated_description": "Otto I (who became emperor in 962) lends his name to the “Ottonian” period. He forged an important alliance with the Pope, which allowed him to be crowned the first official Holy Roman Emperor since 924.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Otto I (who became emperor in 962) lends his name to the “Ottonian” period. He forged an important alliance with the Pope, which allowed him to be crowned the first official Holy Roman Emperor since 924.", "x_pos": 0.0, "node_slug": "ottonian", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-11T18:22:44Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax386826d2", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/ottonian", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/ottonian", "slug": "ottonian", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "24a729fbf66761e57856f6440572b8ef315f518e", "standalone_title": "Ottonian", "y_pos": 0.0, "current_revision_key": "24a729fbf66761e57856f6440572b8ef315f518e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/romanesque", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/romanesque", "translated_standalone_title": "Art History: Romanesque", "translated_title": "Romanesque", "gplus_url": "", "id": "xbb1a10d9", "old_key_name": "Hz83POPQjyTbUDgX9to6QSF6Nr-64__O1AZYGXRn", "hide": false, "title": "Romanesque", "child_data": [{"kind": "Article", "id": "xf5b8dfe1"}, {"kind": "Video", "id": "x8bab422b"}, {"kind": "Video", "id": "xd496ad30"}, {"kind": "Video", "id": "xe0420f8b"}, {"kind": "Video", "id": 785173745}, {"kind": "Video", "id": 686563916}, {"kind": "Video", "id": 671711105}, {"kind": "Video", "id": 671422823}, {"kind": "Exercise", "id": "x4410ddc2"}], "children": [{"translated_youtube_id": "VEv7Mmx1V4w", "relative_url": "/video/st-ursula", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/st-ursula", "duration": 139, "translated_title": "Reliquary Bust of a Saint", "translated_description_html": "

Exhibition curator, James Robinson (video from the British Museum), bust from the Metropolitan Museum of Art<\/a>)<\/span>
<\/p>", "id": "x8bab422b", "description_html": "

Exhibition curator, James Robinson (video from the British Museum), bust from the Metropolitan Museum of Art<\/a>)<\/span>
<\/p>", "title": "Reliquary Bust of a Saint", "progress_key": "vx8bab422b", "edit_slug": "edit/v/x8bab422b", "author_names": [], "deleted_mod_time": null, "description": "Exhibition curator, James Robinson (video from the British Museum), bust from the Metropolitan Museum of Art)", "extra_properties": {}, "node_slug": "v/st-ursula", "deleted": false, "backup_timestamp": "2013-10-05T13:02:46Z", "date_added": "2013-10-05T13:02:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VEv7Mmx1V4w.mp4/VEv7Mmx1V4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VEv7Mmx1V4w.mp4/VEv7Mmx1V4w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VEv7Mmx1V4w.m3u8/VEv7Mmx1V4w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VEv7Mmx1V4w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8bab422b", "sha": "d186fe77bf2b41796a221f1908804bbeb98ead82", "translated_description": "Exhibition curator, James Robinson (video from the British Museum), bust from the Metropolitan Museum of Art)", "image_url": "https://img.youtube.com/vi/VEv7Mmx1V4w/hqdefault.jpg", "youtube_id": "VEv7Mmx1V4w", "content_kind": "Video", "readable_id": "st-ursula"}, {"translated_youtube_id": "VtSjcxdmboM", "relative_url": "/video/modern-veneration", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/modern-veneration", "duration": 278, "translated_title": "A look at modern veneration from the British Museum", "translated_description_html": "

An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe. <\/p>


<\/p>", "id": "xd496ad30", "description_html": "

An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe. <\/p>


<\/p>", "title": "A look at modern veneration from the British Museum", "progress_key": "vxd496ad30", "edit_slug": "edit/v/xd496ad30", "author_names": [], "deleted_mod_time": null, "description": "An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe. ", "extra_properties": {}, "node_slug": "v/modern-veneration", "deleted": false, "backup_timestamp": "2013-10-05T12:29:04Z", "date_added": "2013-10-05T12:29:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VtSjcxdmboM.mp4/VtSjcxdmboM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VtSjcxdmboM.mp4/VtSjcxdmboM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VtSjcxdmboM.m3u8/VtSjcxdmboM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VtSjcxdmboM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd496ad30", "sha": "82fdd7bba6ce0304ce9f51676d4df57cf97d3b70", "translated_description": "An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe. ", "image_url": "https://img.youtube.com/vi/VtSjcxdmboM/hqdefault.jpg", "youtube_id": "VtSjcxdmboM", "content_kind": "Video", "readable_id": "modern-veneration"}, {"translated_youtube_id": "Dnxm4UQPDTo", "relative_url": "/video/pentecost-and-mission-to-the-apostles-tympanum--v-zelay", "has_questions": false, "keywords": "Pentecost, sculpture, crusades, Mission, Apostles, Tympanum, portal, narthex, Basilica Ste-Madeleine, Vézelay, France, 1120", "ka_url": "http://www.khanacademy.org/video/pentecost-and-mission-to-the-apostles-tympanum--v-zelay", "duration": 369, "translated_title": "Pentecost and Mission to the Apostles Tympanum, Vézelay", "translated_description_html": "Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, Vézelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xe0420f8b", "description_html": "Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, Vézelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Pentecost and Mission to the Apostles Tympanum, Vézelay", "progress_key": "vxe0420f8b", "edit_slug": "edit/v/xe0420f8b", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, Vézelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/central-narthex-tympanum-vezelay.html"}, "node_slug": "v/pentecost-and-mission-to-the-apostles-tympanum--v-zelay", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-24T02:31:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dnxm4UQPDTo.mp4/Dnxm4UQPDTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dnxm4UQPDTo.mp4/Dnxm4UQPDTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dnxm4UQPDTo.m3u8/Dnxm4UQPDTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dnxm4UQPDTo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe0420f8b", "sha": "4e8d2edfceff5648d088c8a4455d1068848d9304", "translated_description": "Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, Vézelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Dnxm4UQPDTo/hqdefault.jpg", "youtube_id": "Dnxm4UQPDTo", "content_kind": "Video", "readable_id": "pentecost-and-mission-to-the-apostles-tympanum--v-zelay"}, {"translated_youtube_id": "PATkTJhAUhM", "relative_url": "/video/tympanum-of-the-last-judgment--autun", "has_questions": false, "keywords": "Autun, Smarthistory, Art History, Khan Academy, Gislebertus, Romanesque, Pilgrimage", "ka_url": "http://www.khanacademy.org/video/tympanum-of-the-last-judgment--autun", "duration": 631, "translated_title": "Last Judgment Tympanum, Cathedral of St. Lazare, Autun", "translated_description_html": "Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46", "id": "785173745", "description_html": "Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46", "title": "Last Judgment Tympanum, Cathedral of St. Lazare, Autun", "progress_key": "v785173745", "edit_slug": "edit/v/785173745", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/tympanum-cathedral-of-st.-lazare-autun"}, "node_slug": "v/tympanum-of-the-last-judgment--autun", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-15T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PATkTJhAUhM.mp4/PATkTJhAUhM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PATkTJhAUhM.mp4/PATkTJhAUhM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PATkTJhAUhM.m3u8/PATkTJhAUhM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PATkTJhAUhM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v785173745", "sha": "b9bfa82a122d61902fce35615b8aa3b0ae252721", "translated_description": "Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46", "image_url": "https://img.youtube.com/vi/PATkTJhAUhM/hqdefault.jpg", "youtube_id": "PATkTJhAUhM", "content_kind": "Video", "readable_id": "tympanum-of-the-last-judgment--autun"}, {"translated_youtube_id": "ZXJMwIDx29Q", "relative_url": "/video/the-wise-and-foolish-virgins--late-11th-century-early-12th-century", "has_questions": false, "keywords": "Romanesque, wise and foolish virgins, fresco, NMAC, smarthistory, art history, history of art, Middle Ages, Barcelona", "ka_url": "http://www.khanacademy.org/video/the-wise-and-foolish-virgins--late-11th-century-early-12th-century", "duration": 345, "translated_title": "Wise and Foolish Virgins, Sant Quirze de Pedret", "translated_description_html": "Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "686563916", "description_html": "Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Wise and Foolish Virgins, Sant Quirze de Pedret", "progress_key": "v686563916", "edit_slug": "edit/v/686563916", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/wise-and-foolish-virgins-sant-quirze-de-pedret"}, "node_slug": "v/the-wise-and-foolish-virgins--late-11th-century-early-12th-century", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-27T08:00:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZXJMwIDx29Q.mp4/ZXJMwIDx29Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZXJMwIDx29Q.mp4/ZXJMwIDx29Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZXJMwIDx29Q.m3u8/ZXJMwIDx29Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZXJMwIDx29Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v686563916", "sha": "00a77da2b144e23c64149ab7d03b45e0ae289c64", "translated_description": "Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ZXJMwIDx29Q/hqdefault.jpg", "youtube_id": "ZXJMwIDx29Q", "content_kind": "Video", "readable_id": "the-wise-and-foolish-virgins--late-11th-century-early-12th-century"}, {"translated_youtube_id": "KwYhMXjMlvc", "relative_url": "/video/virgin-from-ger--second-half-of-the-12th-century", "has_questions": false, "keywords": "Virgin Mary, Art History, Smarthistory, Mary (mother Of Jesus), Romanesque, Catalan, Barcelona", "ka_url": "http://www.khanacademy.org/video/virgin-from-ger--second-half-of-the-12th-century", "duration": 197, "translated_title": "Virgin from Ger", "translated_description_html": "Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671711105", "description_html": "Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Virgin from Ger", "progress_key": "v671711105", "edit_slug": "edit/v/671711105", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/virgin-from-ger"}, "node_slug": "v/virgin-from-ger--second-half-of-the-12th-century", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KwYhMXjMlvc.mp4/KwYhMXjMlvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KwYhMXjMlvc.mp4/KwYhMXjMlvc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KwYhMXjMlvc.m3u8/KwYhMXjMlvc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KwYhMXjMlvc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711105", "sha": "2790bfa3f3c24aaa825dd3ef02b52fdf6bfe337f", "translated_description": "Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/KwYhMXjMlvc/hqdefault.jpg", "youtube_id": "KwYhMXjMlvc", "content_kind": "Video", "readable_id": "virgin-from-ger--second-half-of-the-12th-century"}, {"translated_youtube_id": "hPYOMKQlU1g", "relative_url": "/video/capitals--church-of-sant-miquel--early-13th-century", "has_questions": false, "keywords": "NMAC, Barcelona, Art history, romanesque, smarthistory, middle ages, adam and eve", "ka_url": "http://www.khanacademy.org/video/capitals--church-of-sant-miquel--early-13th-century", "duration": 226, "translated_title": "Historiated capitals, Church of Sant Miquel, Camarasa (Noguera)", "translated_description_html": "Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d'Art de Catalunya, Palau Nacional, Barcelona).", "id": "671422823", "description_html": "Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d'Art de Catalunya, Palau Nacional, Barcelona).", "title": "Historiated capitals, Church of Sant Miquel, Camarasa (Noguera)", "progress_key": "v671422823", "edit_slug": "edit/v/671422823", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d'Art de Catalunya, Palau Nacional, Barcelona).", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/historiated-capitals-sant-miquel"}, "node_slug": "v/capitals--church-of-sant-miquel--early-13th-century", "deleted": false, "backup_timestamp": "2013-09-25T16:38:55Z", "date_added": "2012-03-20T19:11:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hPYOMKQlU1g.mp4/hPYOMKQlU1g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hPYOMKQlU1g.mp4/hPYOMKQlU1g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hPYOMKQlU1g.m3u8/hPYOMKQlU1g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hPYOMKQlU1g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422823", "sha": "c3899833e0c171d116ecc2c0f5b194ff3b896af6", "translated_description": "Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d'Art de Catalunya, Palau Nacional, Barcelona).", "image_url": "https://img.youtube.com/vi/hPYOMKQlU1g/hqdefault.jpg", "youtube_id": "hPYOMKQlU1g", "content_kind": "Video", "readable_id": "capitals--church-of-sant-miquel--early-13th-century"}], "twitter_url": "", "translated_description": "Visogoths, Ostrogoths, and Vikings, oh my! Western Europe was not a peaceful place during the 600 years after the fall of the Roman Empire. Western Europe (what is now Italy, France, Spain, England, etc.) had been repeatedly invaded. The result was a fractured feudal society with little stability and little economic growth. Charlemagne and the Ottonians had partially and briefly unified the West, and of course the Church was a stabilizing institution, but it was only in the 11th Century that everything changed. Now there was finally enough peace and prosperity to allow for travel and for the widespread construction of large buildings. These were, with rare exceptions, the first large structures to be built in the West since the fall of the Romans so many centuries before. We call the period Romanesque (Roman-like) because the masons of this period looked back to the architecture of ancient Rome. The relative calm of the Romanesque period also meant it was possible to travel, and the faithful set out on pilgrimages in great numbers to visit holy relics in churches across Europe. This meant that ideas and styles also traveled, towns grew and churches were built and enlarged.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Visogoths, Ostrogoths, and Vikings, oh my! Western Europe was not a peaceful place during the 600 years after the fall of the Roman Empire. Western Europe (what is now Italy, France, Spain, England, etc.) had been repeatedly invaded. The result was a fractured feudal society with little stability and little economic growth. Charlemagne and the Ottonians had partially and briefly unified the West, and of course the Church was a stabilizing institution, but it was only in the 11th Century that everything changed. Now there was finally enough peace and prosperity to allow for travel and for the widespread construction of large buildings. These were, with rare exceptions, the first large structures to be built in the West since the fall of the Romans so many centuries before. We call the period Romanesque (Roman-like) because the masons of this period looked back to the architecture of ancient Rome. The relative calm of the Romanesque period also meant it was possible to travel, and the faithful set out on pilgrimages in great numbers to visit holy relics in churches across Europe. This meant that ideas and styles also traveled, towns grew and churches were built and enlarged.", "x_pos": 0.0, "node_slug": "romanesque", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T12:37:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb1a10d9", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/romanesque", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/romanesque", "slug": "romanesque", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c9d55c037f53c7b143a72a10da653ba61f91bba6", "standalone_title": "Art History: Romanesque", "y_pos": 0.0, "current_revision_key": "c9d55c037f53c7b143a72a10da653ba61f91bba6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/gothic", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/gothic", "translated_standalone_title": "Art History: Gothic", "translated_title": "Gothic", "gplus_url": "", "id": "xf59d3d2c", "old_key_name": "ZfO2aQ897R5ytYydd8dOSJquI0ZckDfamcmiyQzr", "hide": false, "title": "Gothic", "child_data": [{"kind": "Video", "id": 795750001}, {"kind": "Video", "id": 671422824}, {"kind": "Video", "id": 1159766199}, {"kind": "Video", "id": 1159615005}, {"kind": "Video", "id": 671397703}, {"kind": "Video", "id": "xea87afd3"}, {"kind": "Exercise", "id": "xd9880c4c"}], "children": [{"translated_youtube_id": "2EciWH-1ya4", "relative_url": "/video/birth-of-the-gothic--abbot-suger-and-the-ambulatory-in-the-basilica-of-st--denis--1140-44", "has_questions": false, "keywords": "Smarthistory, Art History, Khan Academy, Abbot Suger, Saint Denis, Paris, Gothic, Architecture", "ka_url": "http://www.khanacademy.org/video/birth-of-the-gothic--abbot-suger-and-the-ambulatory-in-the-basilica-of-st--denis--1140-44", "duration": 318, "translated_title": "Birth of the gothic: Abbot Suger and the ambulatory at St. Denis", "translated_description_html": "Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "795750001", "description_html": "Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Birth of the gothic: Abbot Suger and the ambulatory at St. Denis", "progress_key": "v795750001", "edit_slug": "edit/v/795750001", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-birth-of-the-gothic-abbot-suger-and-the-ambulatory-at-st.-denis.html"}, "node_slug": "v/birth-of-the-gothic--abbot-suger-and-the-ambulatory-in-the-basilica-of-st--denis--1140-44", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-05-21T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2EciWH-1ya4.mp4/2EciWH-1ya4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2EciWH-1ya4.mp4/2EciWH-1ya4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2EciWH-1ya4.m3u8/2EciWH-1ya4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2EciWH-1ya4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v795750001", "sha": "c6787e942e84488646ca9534a93328edeb47abd7", "translated_description": "Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/2EciWH-1ya4/hqdefault.jpg", "youtube_id": "2EciWH-1ya4", "content_kind": "Video", "readable_id": "birth-of-the-gothic--abbot-suger-and-the-ambulatory-in-the-basilica-of-st--denis--1140-44"}, {"translated_youtube_id": "w8QRG-Xc6oU", "relative_url": "/video/part-1--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "has_questions": false, "keywords": "Chartres, Gothic, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/part-1--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "duration": 352, "translated_title": "Cathedral of Notre Dame de Chartres (part 1)", "translated_description_html": "Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral's pre-Gothic history, its sacred relic, and the westwerk's royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "id": "671422824", "description_html": "Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral's pre-Gothic history, its sacred relic, and the westwerk's royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "title": "Cathedral of Notre Dame de Chartres (part 1)", "progress_key": "v671422824", "edit_slug": "edit/v/671422824", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral's pre-Gothic history, its sacred relic, and the westwerk's royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Gothic"}, "node_slug": "v/part-1--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w8QRG-Xc6oU.mp4/w8QRG-Xc6oU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w8QRG-Xc6oU.mp4/w8QRG-Xc6oU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w8QRG-Xc6oU.m3u8/w8QRG-Xc6oU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w8QRG-Xc6oU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422824", "sha": "7a947c5411d9306b7a8e01e5cb6e167899f3a7f3", "translated_description": "Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral's pre-Gothic history, its sacred relic, and the westwerk's royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "image_url": "https://img.youtube.com/vi/w8QRG-Xc6oU/hqdefault.jpg", "youtube_id": "w8QRG-Xc6oU", "content_kind": "Video", "readable_id": "part-1--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220"}, {"translated_youtube_id": "dN5XRW7T0cc", "relative_url": "/video/part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "duration": 205, "translated_title": "Cathedral of Notre Dame de Chartres (part 2)", "translated_description_html": "

Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral's interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html<\/p>\n", "id": "1159766199", "description_html": "

Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral's interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html<\/p>\n", "title": "Cathedral of Notre Dame de Chartres (part 2)", "progress_key": "v1159766199", "edit_slug": "edit/v/1159766199", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral's interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/chartres-cathedral-part-2"}, "node_slug": "v/part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-11-19T19:31:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dN5XRW7T0cc.mp4/dN5XRW7T0cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dN5XRW7T0cc.mp4/dN5XRW7T0cc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dN5XRW7T0cc.m3u8/dN5XRW7T0cc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dN5XRW7T0cc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159766199", "sha": "ded1683c709274325be0c9ad13f9420b6f321f92", "translated_description": "Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral's interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html\n", "image_url": "https://img.youtube.com/vi/dN5XRW7T0cc/hqdefault.jpg", "youtube_id": "dN5XRW7T0cc", "content_kind": "Video", "readable_id": "part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220"}, {"translated_youtube_id": "vAtQB9wLkUA", "relative_url": "/video/part-3--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/part-3--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "duration": 545, "translated_title": "Cathedral of Notre Dame de Chartres (part 3)", "translated_description_html": "Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral's flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "id": "1159615005", "description_html": "Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral's flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "title": "Cathedral of Notre Dame de Chartres (part 3)", "progress_key": "v1159615005", "edit_slug": "edit/v/1159615005", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral's flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/chartres-cathedral-part-3"}, "node_slug": "v/part-3--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-19T19:31:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vAtQB9wLkUA.mp4/vAtQB9wLkUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vAtQB9wLkUA.mp4/vAtQB9wLkUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vAtQB9wLkUA.m3u8/vAtQB9wLkUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vAtQB9wLkUA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159615005", "sha": "c99505c4506f96d88f20303ef25cce99181d9e23", "translated_description": "Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral's flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html", "image_url": "https://img.youtube.com/vi/vAtQB9wLkUA/hqdefault.jpg", "youtube_id": "vAtQB9wLkUA", "content_kind": "Video", "readable_id": "part-3--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220"}, {"translated_youtube_id": "ZK85rWtrklU", "relative_url": "/video/bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235", "has_questions": false, "keywords": "Berlinghieri, Altarpiece of St. Francis, 13th Century, Altarpiece, St. Francis, Pescia, Italy, Church of San Francesco, smarthistory, Gothic Art", "ka_url": "http://www.khanacademy.org/video/bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235", "duration": 225, "translated_title": "Berlinghieri's St. Francis altarpiece", "translated_description_html": "Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671397703", "description_html": "Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Berlinghieri's St. Francis altarpiece", "progress_key": "v671397703", "edit_slug": "edit/v/671397703", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Berlinghieri"}, "node_slug": "v/bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZK85rWtrklU.mp4/ZK85rWtrklU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZK85rWtrklU.mp4/ZK85rWtrklU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZK85rWtrklU.m3u8/ZK85rWtrklU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZK85rWtrklU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397703", "sha": "627872ea467941de6763d4286ecd6d7c1dc19b81", "translated_description": "Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ZK85rWtrklU/hqdefault.jpg", "youtube_id": "ZK85rWtrklU", "content_kind": "Video", "readable_id": "bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235"}, {"translated_youtube_id": "pwHzN9aV1WY", "relative_url": "/video/pietro-cavallini--the-last-judgement", "has_questions": false, "keywords": "Pietro Cavallini, Last Judgement, 1293, fresco, Santa Cecilia, Rome", "ka_url": "http://www.khanacademy.org/video/pietro-cavallini--the-last-judgement", "duration": 268, "translated_title": "Pietro Cavallini, The Last Judgement", "translated_description_html": "Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.", "id": "xea87afd3", "description_html": "Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.", "title": "Pietro Cavallini, The Last Judgement", "progress_key": "vxea87afd3", "edit_slug": "edit/v/xea87afd3", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/cavallini-the-last-judgement.html"}, "node_slug": "v/pietro-cavallini--the-last-judgement", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-29T01:06:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pwHzN9aV1WY.mp4/pwHzN9aV1WY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pwHzN9aV1WY.mp4/pwHzN9aV1WY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pwHzN9aV1WY.m3u8/pwHzN9aV1WY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pwHzN9aV1WY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxea87afd3", "sha": "8990efbf8b14f68b844fc8ba1cfb1699b216a940", "translated_description": "Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.", "image_url": "https://img.youtube.com/vi/pwHzN9aV1WY/hqdefault.jpg", "youtube_id": "pwHzN9aV1WY", "content_kind": "Video", "readable_id": "pietro-cavallini--the-last-judgement"}], "twitter_url": "", "translated_description": "No, we’re not talking about the dark subculture we know as Goth! We’re talking about the style of art and architecture In Europe from the 1100s to the beginnings of the Renaissance at about 1400. Hopefully by the end of this tutorial when someone says Gothic, you’ll think of enormous stained-glass windows in churches whose vaulted ceilings reach toward heaven and not black clothing and dark eyeliner!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "No, we’re not talking about the dark subculture we know as Goth! We’re talking about the style of art and architecture In Europe from the 1100s to the beginnings of the Renaissance at about 1400. Hopefully by the end of this tutorial when someone says Gothic, you’ll think of enormous stained-glass windows in churches whose vaulted ceilings reach toward heaven and not black clothing and dark eyeliner!", "x_pos": 0.0, "node_slug": "gothic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T18:03:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf59d3d2c", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/gothic", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/gothic", "slug": "gothic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "61bfb9d2dd22ee5d377c5e8098e4388416712684", "standalone_title": "Art History: Gothic", "y_pos": 0.0, "current_revision_key": "61bfb9d2dd22ee5d377c5e8098e4388416712684", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/art-of-the-americas", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/art-of-the-americas", "translated_standalone_title": "Art History: Art of the Americas", "translated_title": "Art of the Americas", "gplus_url": "", "id": "x8b83a792", "old_key_name": "OA8Mfy9ZKZNtMeWcHI5_-vLvmoHthEVC1nG8zn1L", "hide": false, "title": "Art of the Americas", "child_data": [{"kind": "Video", "id": 671422825}], "children": [{"translated_youtube_id": "dRMGqKA5xKI", "relative_url": "/video/pre-columbian-cup--bat-n-grande-tombs--c--850-1250", "has_questions": false, "keywords": "Gold, Vessel, Cup, Pre-Columbian, South America, Sicán, Lambayeque, Batán, Grande, tombs, Batán Grande tombs, 850, 1250, Portland Art Museum, Portland", "ka_url": "http://www.khanacademy.org/video/pre-columbian-cup--bat-n-grande-tombs--c--850-1250", "duration": 284, "translated_title": "Pre-Columbian cup", "translated_description_html": "Cup, Pre-Columbian, South America, Sicán, Lambayeque: Batán Grande tombs, c. 850/1250 (Portland Art Museum)", "id": "671422825", "description_html": "Cup, Pre-Columbian, South America, Sicán, Lambayeque: Batán Grande tombs, c. 850/1250 (Portland Art Museum)", "title": "Pre-Columbian cup", "progress_key": "v671422825", "edit_slug": "edit/v/671422825", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cup, Pre-Columbian, South America, Sicán, Lambayeque: Batán Grande tombs, c. 850/1250 (Portland Art Museum)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cup-precolumbian"}, "node_slug": "v/pre-columbian-cup--bat-n-grande-tombs--c--850-1250", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dRMGqKA5xKI.mp4/dRMGqKA5xKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dRMGqKA5xKI.mp4/dRMGqKA5xKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dRMGqKA5xKI.m3u8/dRMGqKA5xKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dRMGqKA5xKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422825", "sha": "b7d7b88c55ffa1137369a18ef08816a7df4ebad2", "translated_description": "Cup, Pre-Columbian, South America, Sicán, Lambayeque: Batán Grande tombs, c. 850/1250 (Portland Art Museum)", "image_url": "https://img.youtube.com/vi/dRMGqKA5xKI/hqdefault.jpg", "youtube_id": "dRMGqKA5xKI", "content_kind": "Video", "readable_id": "pre-columbian-cup--bat-n-grande-tombs--c--850-1250"}], "twitter_url": "", "translated_description": "If you are an art historian with expertise in this area and would like to contribute content, please contact Beth or Steven.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you are an art historian with expertise in this area and would like to contribute content, please contact Beth or Steven.", "x_pos": 0.0, "node_slug": "art-of-the-americas", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8b83a792", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/art-of-the-americas", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/art-of-the-americas", "slug": "art-of-the-americas", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cfa6d816ab82c38eac692652d4a1923f874cb91a", "standalone_title": "Art History: Art of the Americas", "y_pos": 0.0, "current_revision_key": "cfa6d816ab82c38eac692652d4a1923f874cb91a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/Overview-Quiz-Medieval-Art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/Overview-Quiz-Medieval-Art", "translated_standalone_title": "Overview Quiz on Medieval Art", "translated_title": "Overview quiz on medieval art", "gplus_url": "", "id": "x092c01a8", "old_key_name": null, "hide": false, "title": "Overview quiz on medieval art", "child_data": [{"kind": "Exercise", "id": "xadce486f"}], "children": [], "twitter_url": "", "translated_description": "These questions focus on works of art from across the different periods of the middle ages.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "These questions focus on works of art from across the different periods of the middle ages.", "x_pos": 0.0, "node_slug": "Overview-Quiz-Medieval-Art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax092c01a8", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/Overview-Quiz-Medieval-Art", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras/Overview-Quiz-Medieval-Art", "slug": "Overview-Quiz-Medieval-Art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "174a9eebafe002937abf94f7bd13c7c585c209d0", "standalone_title": "Overview Quiz on Medieval Art", "y_pos": 0.0, "current_revision_key": "174a9eebafe002937abf94f7bd13c7c585c209d0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Were the Middle Ages really all that dark? Hardly! How could we call the period that saw the building of Chartres Cathedral with its stunning stained-glass windows, dark? Sure, the Roman empire collapsed, but with the Christianization of Europe came magnificent churches, illuminated bibles, and intricately designed broaches. This period also saw the birth of Islam, the third great monotheistic religion.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Were the Middle Ages really all that dark? Hardly! How could we call the period that saw the building of Chartres Cathedral with its stunning stained-glass windows, dark? Sure, the Roman empire collapsed, but with the Christianization of Europe came magnificent churches, illuminated bibles, and intricately designed broaches. This period also saw the birth of Islam, the third great monotheistic religion.", "x_pos": 0.0, "node_slug": "art-history-400-1300-medieval---byzantine-eras", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-11T14:58:53Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax80e2bca5", "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras", "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras", "slug": "art-history-400-1300-medieval---byzantine-eras", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f3fdf192be250c5b3cc5aa87ea2d2d1f1b7fa2d3", "standalone_title": "Art History: 400-1300 Medieval & Byzantine Eras", "y_pos": 0.0, "current_revision_key": "f3fdf192be250c5b3cc5aa87ea2d2d1f1b7fa2d3", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1300-1400-proto-renaissance", "translated_standalone_title": "Art History: 1300-1400 Proto-Renaissance", "translated_title": "1300-1400 Proto-Renaissance", "gplus_url": "", "id": "x70cf0e4f", "old_key_name": "HmGPNZnDbbSMj7Hb6BRC9z1_Ac3_Rqt61-32gqMs", "hide": false, "title": "1300-1400 Proto-Renaissance", "child_data": [{"kind": "Topic", "id": "x862c297b"}, {"kind": "Topic", "id": "x5de5f7ed"}, {"kind": "Topic", "id": "x12007035"}, {"kind": "Topic", "id": "xbe968531"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/beginners-guide-trecento", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1300-1400-proto-renaissance/beginners-guide-trecento", "translated_standalone_title": "Trenceto", "translated_title": "A beginners guide to the Trecento (1300s)", "gplus_url": "", "id": "x862c297b", "old_key_name": null, "hide": false, "title": "A beginners guide to the Trecento (1300s)", "child_data": [{"kind": "Article", "id": "xfbca348c"}, {"kind": "Article", "id": "xce9189a3"}, {"kind": "Video", "id": "x88eba800"}], "children": [{"translated_youtube_id": "WVyusmjiTXI", "relative_url": "/video/gold-ground-panel-painting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gold-ground-panel-painting", "duration": 623, "translated_title": "Gold-ground panel painting", "translated_description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "id": "x88eba800", "description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "title": "Gold-ground panel painting", "progress_key": "vx88eba800", "edit_slug": "edit/v/x88eba800", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/gold-ground-panel-painting", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.m3u8/WVyusmjiTXI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WVyusmjiTXI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx88eba800", "sha": "5959fac7e64730abef7dd9a15777511fcc1215d5", "translated_description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WVyusmjiTXI/hqdefault.jpg", "youtube_id": "WVyusmjiTXI", "content_kind": "Video", "readable_id": "gold-ground-panel-painting"}], "twitter_url": "", "translated_description": "An overview of this transitional period in Europe.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "An overview of this transitional period in Europe.", "x_pos": 0.0, "node_slug": "beginners-guide-trecento", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax862c297b", "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/beginners-guide-trecento", "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance/beginners-guide-trecento", "slug": "beginners-guide-trecento", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd9234b42b86c24be86c6395fcef7b4bbfaf6731", "standalone_title": "Trenceto", "y_pos": 0.0, "current_revision_key": "bd9234b42b86c24be86c6395fcef7b4bbfaf6731", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/siena", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1300-1400-proto-renaissance/siena", "translated_standalone_title": "Art History: Siena", "translated_title": "Siena", "gplus_url": "", "id": "x5de5f7ed", "old_key_name": "6l5W0P4flcuJ4NKkdlbj5UbAQNjLNj1NG1aNUmXU", "hide": false, "title": "Siena", "child_data": [{"kind": "Video", "id": 952862569}, {"kind": "Video", "id": 952728915}, {"kind": "Video", "id": 575708250}, {"kind": "Video", "id": 671563208}, {"kind": "Video", "id": 671702322}, {"kind": "Video", "id": 1261328967}, {"kind": "Video", "id": 719804656}, {"kind": "Video", "id": "xcb22ac20"}, {"kind": "Video", "id": 671702323}, {"kind": "Video", "id": 671632335}, {"kind": "Exercise", "id": "xde56ea50"}], "children": [{"translated_youtube_id": "2fijnNzktDI", "relative_url": "/video/duccio--maesta--front---1308-11", "has_questions": false, "keywords": "Duccio, Maesta, Siena, Renaissance, Khan Academy, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/duccio--maesta--front---1308-11", "duration": 384, "translated_title": "Duccio, Maesta (front)", "translated_description_html": "Duccio, Maesta (front), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "952862569", "description_html": "Duccio, Maesta (front), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Duccio, Maesta (front)", "progress_key": "v952862569", "edit_slug": "edit/v/952862569", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Duccio, Maesta (front), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/duccio-and-siena"}, "node_slug": "v/duccio--maesta--front---1308-11", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-08-09T04:46:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2fijnNzktDI.mp4/2fijnNzktDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2fijnNzktDI.mp4/2fijnNzktDI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2fijnNzktDI.m3u8/2fijnNzktDI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2fijnNzktDI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952862569", "sha": "d996c9747739ac365c561cde6a671c12bedfb927", "translated_description": "Duccio, Maesta (front), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/2fijnNzktDI/hqdefault.jpg", "youtube_id": "2fijnNzktDI", "content_kind": "Video", "readable_id": "duccio--maesta--front---1308-11"}, {"translated_youtube_id": "w6Tgu14VSLY", "relative_url": "/video/duccio--maesta--back---1308-11", "has_questions": false, "keywords": "Duccio, Maesta, back, v2", "ka_url": "http://www.khanacademy.org/video/duccio--maesta--back---1308-11", "duration": 250, "translated_title": "Duccio, Maesta (back)", "translated_description_html": "Duccio, Maesta (back), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "952728915", "description_html": "Duccio, Maesta (back), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Duccio, Maesta (back)", "progress_key": "v952728915", "edit_slug": "edit/v/952728915", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Duccio, Maesta (back), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/duccios-maesta"}, "node_slug": "v/duccio--maesta--back---1308-11", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-08-09T04:46:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w6Tgu14VSLY.mp4/w6Tgu14VSLY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w6Tgu14VSLY.mp4/w6Tgu14VSLY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w6Tgu14VSLY.m3u8/w6Tgu14VSLY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w6Tgu14VSLY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952728915", "sha": "35c7ea2222917fd1a03e2e157ecea9fba9049473", "translated_description": "Duccio, Maesta (back), 1308-11 (Museo dell'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/w6Tgu14VSLY/hqdefault.jpg", "youtube_id": "w6Tgu14VSLY", "content_kind": "Video", "readable_id": "duccio--maesta--back---1308-11"}, {"translated_youtube_id": "1JL5ZR-ocOs", "relative_url": "/video/duccio--the-rucellai-madonna--1285-86", "has_questions": false, "keywords": "art history, Smarthistory Art History, Siena, Florence, Uffizi", "ka_url": "http://www.khanacademy.org/video/duccio--the-rucellai-madonna--1285-86", "duration": 256, "translated_title": "Duccio, The Rucellai Madonna, 1285-86", "translated_description_html": "Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114\" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "575708250", "description_html": "Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114\" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Duccio, The Rucellai Madonna, 1285-86", "progress_key": "v575708250", "edit_slug": "edit/v/575708250", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114\" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/duccio-rucellai-madonna"}, "node_slug": "v/duccio--the-rucellai-madonna--1285-86", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-02-14T18:41:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1JL5ZR-ocOs.mp4/1JL5ZR-ocOs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1JL5ZR-ocOs.mp4/1JL5ZR-ocOs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1JL5ZR-ocOs.m3u8/1JL5ZR-ocOs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1JL5ZR-ocOs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v575708250", "sha": "52a2686676936dcacfc6e9e3c8dfa9934b71b29f", "translated_description": "Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114\" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/1JL5ZR-ocOs/hqdefault.jpg", "youtube_id": "1JL5ZR-ocOs", "content_kind": "Video", "readable_id": "duccio--the-rucellai-madonna--1285-86"}, {"translated_youtube_id": "0d9TB0DAOyY", "relative_url": "/video/duccio--madonna-and-child--c--1300", "has_questions": false, "keywords": "duccio, art, art history, smarthistory, Renaissance", "ka_url": "http://www.khanacademy.org/video/duccio--madonna-and-child--c--1300", "duration": 286, "translated_title": "Duccio, Madonna and Child", "translated_description_html": "Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "id": "671563208", "description_html": "Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "title": "Duccio, Madonna and Child", "progress_key": "v671563208", "edit_slug": "edit/v/671563208", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/duccio-madonna"}, "node_slug": "v/duccio--madonna-and-child--c--1300", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0d9TB0DAOyY.mp4/0d9TB0DAOyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0d9TB0DAOyY.mp4/0d9TB0DAOyY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0d9TB0DAOyY.m3u8/0d9TB0DAOyY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0d9TB0DAOyY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563208", "sha": "b16193c4f4ba3c102fe221bc2c8d674210dd7eca", "translated_description": "Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/0d9TB0DAOyY/hqdefault.jpg", "youtube_id": "0d9TB0DAOyY", "content_kind": "Video", "readable_id": "duccio--madonna-and-child--c--1300"}, {"translated_youtube_id": "Pu1WCHsYfKQ", "relative_url": "/video/duccio--the-virgin-and-child--c--1315", "has_questions": false, "keywords": "art, art history, duccio, Renaissance, trecento, London, National Gallery", "ka_url": "http://www.khanacademy.org/video/duccio--the-virgin-and-child--c--1315", "duration": 223, "translated_title": "Duccio, The Virgin and Child with Saints Dominic and Aurea", "translated_description_html": "

Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "id": "671702322", "description_html": "

Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "title": "Duccio, The Virgin and Child with Saints Dominic and Aurea", "progress_key": "v671702322", "edit_slug": "edit/v/671702322", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/duccios-the-virgin-and-child-with-saints-dominic-and-aurea"}, "node_slug": "v/duccio--the-virgin-and-child--c--1315", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pu1WCHsYfKQ.mp4/Pu1WCHsYfKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pu1WCHsYfKQ.mp4/Pu1WCHsYfKQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pu1WCHsYfKQ.m3u8/Pu1WCHsYfKQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pu1WCHsYfKQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702322", "sha": "4886f4c0933485024ae2426e6ffbb190f6410e6c", "translated_description": "Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Pu1WCHsYfKQ/hqdefault.jpg", "youtube_id": "Pu1WCHsYfKQ", "content_kind": "Video", "readable_id": "duccio--the-virgin-and-child--c--1315"}, {"translated_youtube_id": "jk3wNadYA7k", "relative_url": "/video/ambrogio-lorenzetti-s-palazzo-pubblico-frescos--allegory-and-effect-of-good-and-bad-government", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ambrogio-lorenzetti-s-palazzo-pubblico-frescos--allegory-and-effect-of-good-and-bad-government", "duration": 618, "translated_title": "Ambrogio Lorenzetti, Palazzo Pubblico frescos: Allegory and effect of good and bad government", "translated_description_html": "Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html", "id": "1261328967", "description_html": "Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html", "title": "Ambrogio Lorenzetti, Palazzo Pubblico frescos: Allegory and effect of good and bad government", "progress_key": "v1261328967", "edit_slug": "edit/v/1261328967", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government"}, "node_slug": "v/ambrogio-lorenzetti-s-palazzo-pubblico-frescos--allegory-and-effect-of-good-and-bad-government", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-01-02T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jk3wNadYA7k.mp4/jk3wNadYA7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jk3wNadYA7k.mp4/jk3wNadYA7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jk3wNadYA7k.m3u8/jk3wNadYA7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jk3wNadYA7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1261328967", "sha": "af830abfbf2149813c5afe6c4be632e0b8adf910", "translated_description": "Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html", "image_url": "https://img.youtube.com/vi/jk3wNadYA7k/hqdefault.jpg", "youtube_id": "jk3wNadYA7k", "content_kind": "Video", "readable_id": "ambrogio-lorenzetti-s-palazzo-pubblico-frescos--allegory-and-effect-of-good-and-bad-government"}, {"translated_youtube_id": "_lzdhIHLwcQ", "relative_url": "/video/ambrogio-lorenzetti---presentation-of-jesus-in-the-temple--1342", "has_questions": false, "keywords": "Lorenzetti, Presentation, GAP, Ambrogio Lorenzetti, 1342, tempera, panel, Uffizi, Florence, Siena, Temple, 14th century, fourteenth century, painting, art, Proto-Renaissance, Renaissance, Medieval, Google Art Project, Smarthistory, Khan Academy, OER, Art History", "ka_url": "http://www.khanacademy.org/video/ambrogio-lorenzetti---presentation-of-jesus-in-the-temple--1342", "duration": 147, "translated_title": "Lorenzetti, Presentation of Jesus in the Temple", "translated_description_html": "Ambrogio Lorenzetti, Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)", "id": "719804656", "description_html": "Ambrogio Lorenzetti, Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)", "title": "Lorenzetti, Presentation of Jesus in the Temple", "progress_key": "v719804656", "edit_slug": "edit/v/719804656", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ambrogio Lorenzetti, Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lorenzetti-presentation-in-the-temple"}, "node_slug": "v/ambrogio-lorenzetti---presentation-of-jesus-in-the-temple--1342", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-04-13T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_lzdhIHLwcQ.mp4/_lzdhIHLwcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_lzdhIHLwcQ.mp4/_lzdhIHLwcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_lzdhIHLwcQ.m3u8/_lzdhIHLwcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_lzdhIHLwcQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719804656", "sha": "d7d12458526ad815726409e941dbfd7e803870b0", "translated_description": "Ambrogio Lorenzetti, Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)", "image_url": "https://img.youtube.com/vi/_lzdhIHLwcQ/hqdefault.jpg", "youtube_id": "_lzdhIHLwcQ", "content_kind": "Video", "readable_id": "ambrogio-lorenzetti---presentation-of-jesus-in-the-temple--1342"}, {"translated_youtube_id": "Z29bpAW1AUM", "relative_url": "/video/pietro-lorenzetti--birth-of-the-virgin--c--1342", "has_questions": false, "keywords": "Pietro Lorenzetti, Lorenzetti, Birth of the Virgin, 1342, tempera on panel, St. Savinus, Siena Cathedral, Museo dell'Opera del Duomo, Siena", "ka_url": "http://www.khanacademy.org/video/pietro-lorenzetti--birth-of-the-virgin--c--1342", "duration": 250, "translated_title": "Pietro Lorenzetti, Birth of the Virgin, c. 1342", "translated_description_html": "Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xcb22ac20", "description_html": "Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Pietro Lorenzetti, Birth of the Virgin, c. 1342", "progress_key": "vxcb22ac20", "edit_slug": "edit/v/xcb22ac20", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/pietro-lorenzettis-birth-of-the-virgin.html"}, "node_slug": "v/pietro-lorenzetti--birth-of-the-virgin--c--1342", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-25T05:15:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z29bpAW1AUM.mp4/Z29bpAW1AUM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z29bpAW1AUM.mp4/Z29bpAW1AUM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z29bpAW1AUM.m3u8/Z29bpAW1AUM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z29bpAW1AUM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcb22ac20", "sha": "2487945b777f4b2e2e4d706de6f1342054e08769", "translated_description": "Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/Z29bpAW1AUM/hqdefault.jpg", "youtube_id": "Z29bpAW1AUM", "content_kind": "Video", "readable_id": "pietro-lorenzetti--birth-of-the-virgin--c--1342"}, {"translated_youtube_id": "7PsgPJoGWig", "relative_url": "/video/martini--annunciation--1333", "has_questions": false, "keywords": "smarthistory, Art History, Annunciation, Renaissance, Uffizi, Siena", "ka_url": "http://www.khanacademy.org/video/martini--annunciation--1333", "duration": 274, "translated_title": "Simone Martini, Annunciation", "translated_description_html": "Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8\" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671702323", "description_html": "Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8\" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Simone Martini, Annunciation", "progress_key": "v671702323", "edit_slug": "edit/v/671702323", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8\" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/simone-martinis-annunciation"}, "node_slug": "v/martini--annunciation--1333", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7PsgPJoGWig.mp4/7PsgPJoGWig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7PsgPJoGWig.mp4/7PsgPJoGWig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7PsgPJoGWig.m3u8/7PsgPJoGWig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7PsgPJoGWig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702323", "sha": "9aba8f86b64678751b6772110ddc56a1679c86d7", "translated_description": "Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8\" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/7PsgPJoGWig/hqdefault.jpg", "youtube_id": "7PsgPJoGWig", "content_kind": "Video", "readable_id": "martini--annunciation--1333"}, {"translated_youtube_id": "DXEG8l1FRRk", "relative_url": "/video/nicola-and-giovanni-pisano--1260-1301", "has_questions": false, "keywords": "Pisano, Pulpit, art history, Florence, smarthistory", "ka_url": "http://www.khanacademy.org/video/nicola-and-giovanni-pisano--1260-1301", "duration": 799, "translated_title": "Nicola, Pulpit, Pisa Baptistery; and Giovanni Pisano, Slaughter of the Innocents, Pulpit, Sant'Andrea church, Pistoia", "translated_description_html": "Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "id": "671632335", "description_html": "Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "title": "Nicola, Pulpit, Pisa Baptistery; and Giovanni Pisano, Slaughter of the Innocents, Pulpit, Sant'Andrea church, Pistoia", "progress_key": "v671632335", "edit_slug": "edit/v/671632335", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/pisano"}, "node_slug": "v/nicola-and-giovanni-pisano--1260-1301", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DXEG8l1FRRk.mp4/DXEG8l1FRRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DXEG8l1FRRk.mp4/DXEG8l1FRRk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DXEG8l1FRRk.m3u8/DXEG8l1FRRk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DXEG8l1FRRk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632335", "sha": "547d1f15af804c9963c0dc9414e647f149596266", "translated_description": "Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/DXEG8l1FRRk/hqdefault.jpg", "youtube_id": "DXEG8l1FRRk", "content_kind": "Video", "readable_id": "nicola-and-giovanni-pisano--1260-1301"}], "twitter_url": "", "translated_description": "When we think of the Renaissance, we tend to think of Florence (and Rome). But the city of Siena also deserves our attention. Today, the lovely walled city of Siena is one of the best preserved Medieval cities in Europe and it was chosen by the United Nations as a World Heritage Site. In the 14th Century, Siena was an independent nation and often at war with its neighbor, Florence. Some of the most important art of the 14th Century was commissioned for Siena’s Cathedral and town hall. Duccio and his students, the Lorenzetti Brothers and Simone Martini produced large-scale painting with an intricacy and subtle coloration that is unique in the Renaissance.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When we think of the Renaissance, we tend to think of Florence (and Rome). But the city of Siena also deserves our attention. Today, the lovely walled city of Siena is one of the best preserved Medieval cities in Europe and it was chosen by the United Nations as a World Heritage Site. In the 14th Century, Siena was an independent nation and often at war with its neighbor, Florence. Some of the most important art of the 14th Century was commissioned for Siena’s Cathedral and town hall. Duccio and his students, the Lorenzetti Brothers and Simone Martini produced large-scale painting with an intricacy and subtle coloration that is unique in the Renaissance.", "x_pos": 0.0, "node_slug": "siena", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5de5f7ed", "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/siena", "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance/siena", "slug": "siena", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e0a1f23418fe781a5e40e3a0cb70a97813e81983", "standalone_title": "Art History: Siena", "y_pos": 0.0, "current_revision_key": "e0a1f23418fe781a5e40e3a0cb70a97813e81983", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/florence", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1300-1400-proto-renaissance/florence", "translated_standalone_title": "Art History: Florence", "translated_title": "Florence", "gplus_url": "", "id": "x12007035", "old_key_name": "CCjQKmH_4xV5qfsUHcUnfLjB-4W60o_uzlMCR6Da", "hide": false, "title": "Florence", "child_data": [{"kind": "Video", "id": "xe35118f4"}, {"kind": "Video", "id": 671422826}, {"kind": "Video", "id": 671686556}, {"kind": "Video", "id": "x03bfdd48"}, {"kind": "Video", "id": "x39fc0169"}, {"kind": "Video", "id": "x625f0c99"}, {"kind": "Video", "id": "xde3729f5"}, {"kind": "Video", "id": 671632337}, {"kind": "Video", "id": 708126669}, {"kind": "Video", "id": 671707162}, {"kind": "Video", "id": 671260989}, {"kind": "Exercise", "id": "x2bef76c2"}, {"kind": "Exercise", "id": "x4188b034"}], "children": [{"translated_youtube_id": "DKnFvXmUlOI", "relative_url": "/video/cimabue-s-santa-trinita-madonna---giotto-s-ognissanti-madonna", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/cimabue-s-santa-trinita-madonna---giotto-s-ognissanti-madonna", "duration": 419, "translated_title": "Cimabue, Santa Trinita Madonna & Giotto's Ognissanti Madonna", "translated_description_html": "", "id": "xe35118f4", "description_html": "", "title": "Cimabue, Santa Trinita Madonna & Giotto's Ognissanti Madonna", "progress_key": "vxe35118f4", "edit_slug": "edit/v/xe35118f4", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": "http://khan.smarthistory.org/proto-renaissance.html"}, "node_slug": "v/cimabue-s-santa-trinita-madonna---giotto-s-ognissanti-madonna", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-08-26T21:08:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DKnFvXmUlOI.mp4/DKnFvXmUlOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DKnFvXmUlOI.mp4/DKnFvXmUlOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DKnFvXmUlOI.m3u8/DKnFvXmUlOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DKnFvXmUlOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe35118f4", "sha": "b08f2c910b6d4e48ffc91af84026f1dfe4960206", "translated_description": "", "image_url": "https://img.youtube.com/vi/DKnFvXmUlOI/hqdefault.jpg", "youtube_id": "DKnFvXmUlOI", "content_kind": "Video", "readable_id": "cimabue-s-santa-trinita-madonna---giotto-s-ognissanti-madonna"}, {"translated_youtube_id": "_alU-o_qDt8", "relative_url": "/video/cimabue--maesta-of-santa-trinita--1280-900-1290", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cimabue--maesta-of-santa-trinita--1280-900-1290", "duration": 450, "translated_title": "Cimabue, Santa Trinita Madonna", "translated_description_html": "

Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4" (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>\n", "id": "671422826", "description_html": "

Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4" (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>\n", "title": "Cimabue, Santa Trinita Madonna", "progress_key": "v671422826", "edit_slug": "edit/v/671422826", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4\" (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/cimabue-santa-trinita-madonna"}, "node_slug": "v/cimabue--maesta-of-santa-trinita--1280-900-1290", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_alU-o_qDt8.mp4/_alU-o_qDt8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_alU-o_qDt8.mp4/_alU-o_qDt8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_alU-o_qDt8.m3u8/_alU-o_qDt8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_alU-o_qDt8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422826", "sha": "6b77f6137556c85d4807cd84a2689cdf7d35501c", "translated_description": "Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4\" (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris\n", "image_url": "https://img.youtube.com/vi/_alU-o_qDt8/hqdefault.jpg", "youtube_id": "_alU-o_qDt8", "content_kind": "Video", "readable_id": "cimabue--maesta-of-santa-trinita--1280-900-1290"}, {"translated_youtube_id": "MQct5EFQ9x8", "relative_url": "/video/giotto--st--francis-receiving-the-stigmata--c--1295-1300", "has_questions": false, "keywords": "Musée du Louvre", "ka_url": "http://www.khanacademy.org/video/giotto--st--francis-receiving-the-stigmata--c--1295-1300", "duration": 275, "translated_title": "Giotto, St. Francis Receiving the Stigmata ", "translated_description_html": "Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: \"OPUS IOCTI FIORETINI\".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671686556", "description_html": "Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: \"OPUS IOCTI FIORETINI\".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Giotto, St. Francis Receiving the Stigmata ", "progress_key": "v671686556", "edit_slug": "edit/v/671686556", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: \"OPUS IOCTI FIORETINI\".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/st.-francis-of-assisi-receiving-the-stigmata"}, "node_slug": "v/giotto--st--francis-receiving-the-stigmata--c--1295-1300", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MQct5EFQ9x8.mp4/MQct5EFQ9x8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MQct5EFQ9x8.mp4/MQct5EFQ9x8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MQct5EFQ9x8.m3u8/MQct5EFQ9x8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MQct5EFQ9x8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686556", "sha": "123922334bf82537e4f79b4f48f62abd12df3681", "translated_description": "Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: \"OPUS IOCTI FIORETINI\".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/MQct5EFQ9x8/hqdefault.jpg", "youtube_id": "MQct5EFQ9x8", "content_kind": "Video", "readable_id": "giotto--st--francis-receiving-the-stigmata--c--1295-1300"}, {"translated_youtube_id": "47QgqdeSi0U", "relative_url": "/video/giotto--arena--scrovegni--chapel--padua--c--1305--part-1-of-4", "has_questions": false, "keywords": "Giotto, Arena, Chapel, Scrovegni, Padua, fresco, Medieval, Proto-Renaissance, painting", "ka_url": "http://www.khanacademy.org/video/giotto--arena--scrovegni--chapel--padua--c--1305--part-1-of-4", "duration": 297, "translated_title": "Giotto, Arena (Scrovegni) Chapel (part 1)", "translated_description_html": "Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "x03bfdd48", "description_html": "Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Giotto, Arena (Scrovegni) Chapel (part 1)", "progress_key": "vx03bfdd48", "edit_slug": "edit/v/x03bfdd48", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://khan.smarthistory.org/giotto-arena-chapel-part-1.html"}, "node_slug": "v/giotto--arena--scrovegni--chapel--padua--c--1305--part-1-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-03-24T16:50:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/47QgqdeSi0U.mp4/47QgqdeSi0U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/47QgqdeSi0U.mp4/47QgqdeSi0U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/47QgqdeSi0U.m3u8/47QgqdeSi0U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=47QgqdeSi0U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx03bfdd48", "sha": "38bfe53008349bb539801b2270c5210b98d3f628", "translated_description": "Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/47QgqdeSi0U/hqdefault.jpg", "youtube_id": "47QgqdeSi0U", "content_kind": "Video", "readable_id": "giotto--arena--scrovegni--chapel--padua--c--1305--part-1-of-4"}, {"translated_youtube_id": "I356lV1v8Bc", "relative_url": "/video/giotto--arena--scrovegni--chapel--part-2-of-4", "has_questions": false, "keywords": "Giotto, Scrovegni, Arena Chapel, fresco, art, painting, narrative", "ka_url": "http://www.khanacademy.org/video/giotto--arena--scrovegni--chapel--part-2-of-4", "duration": 614, "translated_title": "Giotto, Arena (Scrovegni) Chapel (part 2)", "translated_description_html": "Part 2: The Narrative Cycle from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x39fc0169", "description_html": "Part 2: The Narrative Cycle from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Giotto, Arena (Scrovegni) Chapel (part 2)", "progress_key": "vx39fc0169", "edit_slug": "edit/v/x39fc0169", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 2: The Narrative Cycle from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://khan.smarthistory.org/giottos-arena-scrovegni-chapel-part-2.html"}, "node_slug": "v/giotto--arena--scrovegni--chapel--part-2-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-03-24T16:54:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I356lV1v8Bc.mp4/I356lV1v8Bc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I356lV1v8Bc.mp4/I356lV1v8Bc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I356lV1v8Bc.m3u8/I356lV1v8Bc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I356lV1v8Bc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39fc0169", "sha": "eb9d7408e751bea8429bc3a0a5a0f319a3fc95b3", "translated_description": "Part 2: The Narrative Cycle from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/I356lV1v8Bc/hqdefault.jpg", "youtube_id": "I356lV1v8Bc", "content_kind": "Video", "readable_id": "giotto--arena--scrovegni--chapel--part-2-of-4"}, {"translated_youtube_id": "RbBQN0Wt_wY", "relative_url": "/video/giotto--arena--scrovegni--chapel--part-3-of-4", "has_questions": false, "keywords": "Giotto, Scrovegni, Arena, Chapel, Lamentation, Mourning, Narrative, art, painting, fresco, Italian, Italy, Medieval, Proto-Renaissance", "ka_url": "http://www.khanacademy.org/video/giotto--arena--scrovegni--chapel--part-3-of-4", "duration": 342, "translated_title": "Giotto, Arena (Scrovegni) Chapel (part 3)", "translated_description_html": "Part 3: The Lamentation from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x625f0c99", "description_html": "Part 3: The Lamentation from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Giotto, Arena (Scrovegni) Chapel (part 3)", "progress_key": "vx625f0c99", "edit_slug": "edit/v/x625f0c99", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 3: The Lamentation from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://khan.smarthistory.org/giottos-lamentation.html"}, "node_slug": "v/giotto--arena--scrovegni--chapel--part-3-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-03-24T16:57:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RbBQN0Wt_wY.mp4/RbBQN0Wt_wY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RbBQN0Wt_wY.mp4/RbBQN0Wt_wY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RbBQN0Wt_wY.m3u8/RbBQN0Wt_wY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RbBQN0Wt_wY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx625f0c99", "sha": "ca9ffb778fec54be4cc13abaad55e61f21a71dab", "translated_description": "Part 3: The Lamentation from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/RbBQN0Wt_wY/hqdefault.jpg", "youtube_id": "RbBQN0Wt_wY", "content_kind": "Video", "readable_id": "giotto--arena--scrovegni--chapel--part-3-of-4"}, {"translated_youtube_id": "6z_Kjsn8VLI", "relative_url": "/video/giotto--arena--scrovegni--chapel--part-4-of-4", "has_questions": false, "keywords": "Giotto, Scrovegni, Last Judgment, Padua, Arena Chapel, fresco", "ka_url": "http://www.khanacademy.org/video/giotto--arena--scrovegni--chapel--part-4-of-4", "duration": 383, "translated_title": "Giotto, Arena (Scrovegni) Chapel (part 4)", "translated_description_html": "Part 4: The Last Judgment from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "xde3729f5", "description_html": "Part 4: The Last Judgment from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Giotto, Arena (Scrovegni) Chapel (part 4)", "progress_key": "vxde3729f5", "edit_slug": "edit/v/xde3729f5", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Part 4: The Last Judgment from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://khan.smarthistory.org/giottos-arena-scrovegni-chapel-part-4the-last-judgment.html"}, "node_slug": "v/giotto--arena--scrovegni--chapel--part-4-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-03-24T17:03:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6z_Kjsn8VLI.mp4/6z_Kjsn8VLI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6z_Kjsn8VLI.mp4/6z_Kjsn8VLI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6z_Kjsn8VLI.m3u8/6z_Kjsn8VLI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6z_Kjsn8VLI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxde3729f5", "sha": "1a33e3fdde61af172aeefa2665dbd8d94291fff3", "translated_description": "Part 4: The Last Judgment from Giotto's Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6z_Kjsn8VLI/hqdefault.jpg", "youtube_id": "6z_Kjsn8VLI", "content_kind": "Video", "readable_id": "giotto--arena--scrovegni--chapel--part-4-of-4"}, {"translated_youtube_id": "P9s3YA-glNk", "relative_url": "/video/giotto--the-ognissanti-madonna--1306-10", "has_questions": false, "keywords": "art history, art, Smarthistory, Giotto", "ka_url": "http://www.khanacademy.org/video/giotto--the-ognissanti-madonna--1306-10", "duration": 245, "translated_title": "Giotto, The Ognissanti Madonna", "translated_description_html": "Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4\" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671632337", "description_html": "Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4\" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Giotto, The Ognissanti Madonna", "progress_key": "v671632337", "edit_slug": "edit/v/671632337", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4\" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/giotto-the-ognissanti-madonna"}, "node_slug": "v/giotto--the-ognissanti-madonna--1306-10", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P9s3YA-glNk.mp4/P9s3YA-glNk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P9s3YA-glNk.mp4/P9s3YA-glNk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P9s3YA-glNk.m3u8/P9s3YA-glNk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P9s3YA-glNk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632337", "sha": "40f2acd5670e738e4e58b98ceec8a8552ba2065b", "translated_description": "Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4\" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/P9s3YA-glNk/hqdefault.jpg", "youtube_id": "P9s3YA-glNk", "content_kind": "Video", "readable_id": "giotto--the-ognissanti-madonna--1306-10"}, {"translated_youtube_id": "be9rz_HOnXI", "relative_url": "/video/giotto--the-entombment-of-mary--1310", "has_questions": false, "keywords": "Giotto, Entombment, GAP, Google Art Project, Khan Academy, Smarthistory, Gemäldegalerie, Tuscany, Italian, Proto-Renaissance, Medieval, Middle Ages, 14th century, fourteenth century, Italy, chiaroscuro, emotion, OER", "ka_url": "http://www.khanacademy.org/video/giotto--the-entombment-of-mary--1310", "duration": 236, "translated_title": "Giotto, The Entombment of Mary", "translated_description_html": "Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gemäldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)", "id": "708126669", "description_html": "Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gemäldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)", "title": "Giotto, The Entombment of Mary", "progress_key": "v708126669", "edit_slug": "edit/v/708126669", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gemäldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/giotto-the-entombment-of-mary"}, "node_slug": "v/giotto--the-entombment-of-mary--1310", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/be9rz_HOnXI.mp4/be9rz_HOnXI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/be9rz_HOnXI.mp4/be9rz_HOnXI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/be9rz_HOnXI.m3u8/be9rz_HOnXI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=be9rz_HOnXI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708126669", "sha": "d1a2d4cdc2b03240628bc870bcec1f0536bf4335", "translated_description": "Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gemäldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)", "image_url": "https://img.youtube.com/vi/be9rz_HOnXI/hqdefault.jpg", "youtube_id": "be9rz_HOnXI", "content_kind": "Video", "readable_id": "giotto--the-entombment-of-mary--1310"}, {"translated_youtube_id": "ncgAfzRSJrI", "relative_url": "/video/andrea-pisano--reliefs-for-the-florence-campanile--c--1336", "has_questions": false, "keywords": "campanile, florence, art, art history, smarthistory", "ka_url": "http://www.khanacademy.org/video/andrea-pisano--reliefs-for-the-florence-campanile--c--1336", "duration": 359, "translated_title": "Andrea Pisano's reliefs on the Campanile in Florence", "translated_description_html": "Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris", "id": "671707162", "description_html": "Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris", "title": "Andrea Pisano's reliefs on the Campanile in Florence", "progress_key": "v671707162", "edit_slug": "edit/v/671707162", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pisano-campanile"}, "node_slug": "v/andrea-pisano--reliefs-for-the-florence-campanile--c--1336", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ncgAfzRSJrI.mp4/ncgAfzRSJrI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ncgAfzRSJrI.mp4/ncgAfzRSJrI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ncgAfzRSJrI.m3u8/ncgAfzRSJrI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ncgAfzRSJrI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707162", "sha": "f412d397ff8794e1df1188e937fa7c0e8a7c690b", "translated_description": "Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris", "image_url": "https://img.youtube.com/vi/ncgAfzRSJrI/hqdefault.jpg", "youtube_id": "ncgAfzRSJrI", "content_kind": "Video", "readable_id": "andrea-pisano--reliefs-for-the-florence-campanile--c--1336"}, {"translated_youtube_id": "TKfJ2444F6s", "relative_url": "/video/follower-of-daddi--the-aldobrandini-triptych--c--1336", "has_questions": false, "keywords": "Daddi, Art History, Smarthistory, Renaissance, Portland Art Museum", "ka_url": "http://www.khanacademy.org/video/follower-of-daddi--the-aldobrandini-triptych--c--1336", "duration": 268, "translated_title": "Follower of Bernardo Daddi, The Aldobrandini Triptych", "translated_description_html": "Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html", "id": "671260989", "description_html": "Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html", "title": "Follower of Bernardo Daddi, The Aldobrandini Triptych", "progress_key": "v671260989", "edit_slug": "edit/v/671260989", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/daddi-follower-triptych"}, "node_slug": "v/follower-of-daddi--the-aldobrandini-triptych--c--1336", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TKfJ2444F6s.mp4/TKfJ2444F6s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TKfJ2444F6s.mp4/TKfJ2444F6s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TKfJ2444F6s.m3u8/TKfJ2444F6s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TKfJ2444F6s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260989", "sha": "e81a652a194278e4d0564e1b15d3ce816923205e", "translated_description": "Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html", "image_url": "https://img.youtube.com/vi/TKfJ2444F6s/hqdefault.jpg", "youtube_id": "TKfJ2444F6s", "content_kind": "Video", "readable_id": "follower-of-daddi--the-aldobrandini-triptych--c--1336"}], "twitter_url": "", "translated_description": "When Vasari wrote his enormously influential book, Lives of the Artists, in the 16th century, he credited Giotto, the 14th century Florentine artist with beginning \"the great art of painting as we know it today, introducing the technique of drawing accurately from life, which had been neglected for more than two hundred years.\" In other words, for Vasari, Giotto was the first artist to leave behind the medieval practice of painting what one knows and believes, for the practice of painting what one sees. This tutorial looks at painting and sculpture in both Pisa and Florence to highlight some of the most forward-thinking art of this century.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When Vasari wrote his enormously influential book, Lives of the Artists, in the 16th century, he credited Giotto, the 14th century Florentine artist with beginning \"the great art of painting as we know it today, introducing the technique of drawing accurately from life, which had been neglected for more than two hundred years.\" In other words, for Vasari, Giotto was the first artist to leave behind the medieval practice of painting what one knows and believes, for the practice of painting what one sees. This tutorial looks at painting and sculpture in both Pisa and Florence to highlight some of the most forward-thinking art of this century.", "x_pos": 0.0, "node_slug": "florence", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-26T21:10:50Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax12007035", "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/florence", "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance/florence", "slug": "florence", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2f6127228110d99bb4e8376d01af5b7dd3c85e68", "standalone_title": "Art History: Florence", "y_pos": 0.0, "current_revision_key": "2f6127228110d99bb4e8376d01af5b7dd3c85e68", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/ChinaYuanDynasty", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1300-1400-proto-renaissance/ChinaYuanDynasty", "translated_standalone_title": "Chinese art from the Yuan dynasty", "translated_title": "China", "gplus_url": "", "id": "xbe968531", "old_key_name": null, "hide": false, "title": "China", "child_data": [{"kind": "Video", "id": 719786816}, {"kind": "Video", "id": "xabb669a1"}], "children": [{"translated_youtube_id": "CHfU9EDwOwU", "relative_url": "/video/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "has_questions": false, "keywords": "Buddha, Medicine, Bhaishajyaguru, Yaoshi fo, 1319, Yuan dynasty, Metropolitan Museum of Art, New York, Buddhism, China, Chinese, art, sculpture, Bodhisattva, Wall painting, art history, painting, Khan Academy, Google Art Project, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "duration": 337, "translated_title": "China: Buddha of Medicine Bhaishajyaguru (Yaoshi fo)", "translated_description_html": "

Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#<\/p>", "id": "719786816", "description_html": "

Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#<\/p>", "title": "China: Buddha of Medicine Bhaishajyaguru (Yaoshi fo)", "progress_key": "v719786816", "edit_slug": "edit/v/719786816", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/buddha-of-medicine-bhaishajyaguru-yaoshi-fo"}, "node_slug": "v/buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2012-04-13T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.mp4/CHfU9EDwOwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.mp4/CHfU9EDwOwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CHfU9EDwOwU.m3u8/CHfU9EDwOwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CHfU9EDwOwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786816", "sha": "4d733b8118e6e87ddb2576fd0242b225ad44cbcf", "translated_description": "Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#", "image_url": "https://img.youtube.com/vi/CHfU9EDwOwU/hqdefault.jpg", "youtube_id": "CHfU9EDwOwU", "content_kind": "Video", "readable_id": "buddha-of-medicine-bhaishajyaguru--yaoshi-fo---c--1319"}, {"translated_youtube_id": "lfIHzumEghQ", "relative_url": "/video/david-vases", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/david-vases", "duration": 287, "translated_title": "The David Vases, 1351", "translated_description_html": "

The David Vases<\/em>, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)<\/p>


<\/p>

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "id": "xabb669a1", "description_html": "

The David Vases<\/em>, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)<\/p>


<\/p>

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "title": "The David Vases, 1351", "progress_key": "vxabb669a1", "edit_slug": "edit/v/xabb669a1", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-09-27T16:44:18Z", "description": "The David Vases, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-david-vases-1351-yuan-dynasty.html"}, "node_slug": "v/david-vases", "deleted": false, "backup_timestamp": "2013-09-28T00:26:44Z", "date_added": "2013-09-27T16:44:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lfIHzumEghQ.mp4/lfIHzumEghQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lfIHzumEghQ.mp4/lfIHzumEghQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lfIHzumEghQ.m3u8/lfIHzumEghQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lfIHzumEghQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxabb669a1", "sha": "35df2b619777cb5619173338d36bde2f483701dd", "translated_description": "The David Vases, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/lfIHzumEghQ/hqdefault.jpg", "youtube_id": "lfIHzumEghQ", "content_kind": "Video", "readable_id": "david-vases"}], "twitter_url": "", "translated_description": "Art from the Yuan dynasty", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Art from the Yuan dynasty", "x_pos": 0.0, "node_slug": "ChinaYuanDynasty", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T00:26:44Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbe968531", "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance/ChinaYuanDynasty", "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance/ChinaYuanDynasty", "slug": "ChinaYuanDynasty", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5818cac4312595cd79cf4742bcf77ee7e7b02ca9", "standalone_title": "Chinese art from the Yuan dynasty", "y_pos": 0.0, "current_revision_key": "5818cac4312595cd79cf4742bcf77ee7e7b02ca9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This is a transitional period. In the art of Florence and Siena there is a move away from medieval abstract depictions of space and the human body as artists began to focus on the illusion of mass and space and the expression of human emotion. With hindsight, it is possible to trace elements of Renaissance art back to this period. This century saw the creation of the beautiful poetry of Dante and Petrarch, but it is also the century that saw the worst outbreak of the Bubonic plague (known then as the Black Death) which wiped out close to half the population of Europe—a terrifying statistic, difficult to imagine today. This topic focuses on two Italian city-states—Florence and Siena, both proud republics in the 14th century, and the great painters of those city-states, Giotto and Cimabue in Florence, and Duccio, Martini and the Lorenzetti brothers in Siena.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is a transitional period. In the art of Florence and Siena there is a move away from medieval abstract depictions of space and the human body as artists began to focus on the illusion of mass and space and the expression of human emotion. With hindsight, it is possible to trace elements of Renaissance art back to this period. This century saw the creation of the beautiful poetry of Dante and Petrarch, but it is also the century that saw the worst outbreak of the Bubonic plague (known then as the Black Death) which wiped out close to half the population of Europe—a terrifying statistic, difficult to imagine today. This topic focuses on two Italian city-states—Florence and Siena, both proud republics in the 14th century, and the great painters of those city-states, Giotto and Cimabue in Florence, and Duccio, Martini and the Lorenzetti brothers in Siena.", "x_pos": 0.0, "node_slug": "art-history-1300-1400-proto-renaissance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-11T20:50:35Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax70cf0e4f", "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance", "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance", "slug": "art-history-1300-1400-proto-renaissance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "51eeda6e21e86f5d0c8dd2c90f9f0bbb30bd0f01", "standalone_title": "Art History: 1300-1400 Proto-Renaissance", "y_pos": 0.0, "current_revision_key": "51eeda6e21e86f5d0c8dd2c90f9f0bbb30bd0f01", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", "translated_standalone_title": "Art History: 1400-1500 Renaissance in Italy and the North", "translated_title": "1400-1500 Renaissance in Italy and the North", "gplus_url": "", "id": "xb9f22b32", "old_key_name": "PZ-l6ZFcMkD40o6z8RFXBDid2hqzPv9BHw2J9LlD", "hide": false, "title": "1400-1500 Renaissance in Italy and the North", "child_data": [{"kind": "Topic", "id": "xd922e021"}, {"kind": "Topic", "id": "xb5a58586"}, {"kind": "Topic", "id": "xe1f59ecc"}, {"kind": "Topic", "id": "xdfe3b313"}, {"kind": "Topic", "id": "x5b36944f"}, {"kind": "Topic", "id": "xa0c41a49"}, {"kind": "Topic", "id": "xcb8e1975"}, {"kind": "Topic", "id": "xea0ccf23"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/beginners-guide-to-Renaissance", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/beginners-guide-to-Renaissance", "translated_standalone_title": "A beginner's guide to the Renaissance", "translated_title": "A beginner's guide to the Renaissance", "gplus_url": "", "id": "xd922e021", "old_key_name": null, "hide": false, "title": "A beginner's guide to the Renaissance", "child_data": [{"kind": "Video", "id": "xfaba2331"}, {"kind": "Article", "id": "xb6d685d6"}], "children": [{"translated_youtube_id": "kzhuZmzoX5o", "relative_url": "/video/renaissance-art-introductoin", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/renaissance-art-introductoin", "duration": 627, "translated_title": "Renaissance art: Introduction", "translated_description_html": "This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education", "id": "xfaba2331", "description_html": "This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education", "title": "Renaissance art: Introduction", "progress_key": "vxfaba2331", "edit_slug": "edit/v/xfaba2331", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/1400-1500-Renaissance-in-Italy-and-the-North.html"}, "node_slug": "v/renaissance-art-introductoin", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-06-04T16:33:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kzhuZmzoX5o.mp4/kzhuZmzoX5o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kzhuZmzoX5o.mp4/kzhuZmzoX5o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kzhuZmzoX5o.m3u8/kzhuZmzoX5o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kzhuZmzoX5o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxfaba2331", "sha": "af2388f71c6146bb64095d53695181240acaa0ae", "translated_description": "This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education", "image_url": "https://img.youtube.com/vi/kzhuZmzoX5o/hqdefault.jpg", "youtube_id": "kzhuZmzoX5o", "content_kind": "Video", "readable_id": "renaissance-art-introductoin"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "beginners-guide-to-Renaissance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd922e021", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/beginners-guide-to-Renaissance", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/beginners-guide-to-Renaissance", "slug": "beginners-guide-to-Renaissance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2c9b5acf37b815857e5310c84a7af20cb1ff0784", "standalone_title": "A beginner's guide to the Renaissance", "y_pos": 0.0, "current_revision_key": "2c9b5acf37b815857e5310c84a7af20cb1ff0784", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/burgundy", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/burgundy", "translated_standalone_title": "Art history: Burgundy", "translated_title": "Burgundy", "gplus_url": "", "id": "xb5a58586", "old_key_name": "2nV63qfx22g_dGkegUpelfc3OGlF8HjVuYDt87dC", "hide": false, "title": "Burgundy", "child_data": [{"kind": "Video", "id": 726969943}, {"kind": "Video", "id": 1271972302}, {"kind": "Video", "id": 671707164}, {"kind": "Video", "id": "x1f55a3ad"}, {"kind": "Exercise", "id": "xb15ff89d"}], "children": [{"translated_youtube_id": "xdIVZrr_8tI", "relative_url": "/video/claus-sluter--well-of-moses", "has_questions": false, "keywords": "Smarthistory, art history, Khan academy, Moses, well of moses, Dijon, Burgundy, sluter", "ka_url": "http://www.khanacademy.org/video/claus-sluter--well-of-moses", "duration": 292, "translated_title": "Sluter, Well of Moses", "translated_description_html": "Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asnières stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "726969943", "description_html": "Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asnières stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Sluter, Well of Moses", "progress_key": "v726969943", "edit_slug": "edit/v/726969943", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asnières stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sluters-well-of-moses"}, "node_slug": "v/claus-sluter--well-of-moses", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-17T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xdIVZrr_8tI.mp4/xdIVZrr_8tI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xdIVZrr_8tI.mp4/xdIVZrr_8tI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xdIVZrr_8tI.m3u8/xdIVZrr_8tI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xdIVZrr_8tI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v726969943", "sha": "42b6ff200d7728b161b449da9df0e796df425a46", "translated_description": "Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asnières stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/xdIVZrr_8tI/hqdefault.jpg", "youtube_id": "xdIVZrr_8tI", "content_kind": "Video", "readable_id": "claus-sluter--well-of-moses"}, {"translated_youtube_id": "WdAFrBpP1Bw", "relative_url": "/video/claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410", "duration": 203, "translated_title": "Claus Sluter and Claus de Werve, Mourners, from the Tomb of Philip the Bold", "translated_description_html": "Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1271972302", "description_html": "Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Claus Sluter and Claus de Werve, Mourners, from the Tomb of Philip the Bold", "progress_key": "v1271972302", "edit_slug": "edit/v/1271972302", "author_names": ["Beth Harris,Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/claus-sluter-and-claus-de-werve-mourners-from-the-tomb-of-philip-the-bold"}, "node_slug": "v/claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-07T11:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WdAFrBpP1Bw.mp4/WdAFrBpP1Bw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WdAFrBpP1Bw.mp4/WdAFrBpP1Bw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WdAFrBpP1Bw.m3u8/WdAFrBpP1Bw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WdAFrBpP1Bw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1271972302", "sha": "037a437a70a512e12475e8eb8738b79cc2b02876", "translated_description": "Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/WdAFrBpP1Bw/hqdefault.jpg", "youtube_id": "WdAFrBpP1Bw", "content_kind": "Video", "readable_id": "claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410"}, {"translated_youtube_id": "PZKaQO2L2e4", "relative_url": "/video/holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s", "has_questions": false, "keywords": "holy thorn reliquary, British Museum, Khan Academy, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s", "duration": 304, "translated_title": "Holy Thorn reliquary", "translated_description_html": "Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "id": "671707164", "description_html": "Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "title": "Holy Thorn reliquary", "progress_key": "v671707164", "edit_slug": "edit/v/671707164", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holy-thorn-reliquary"}, "node_slug": "v/holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PZKaQO2L2e4.mp4/PZKaQO2L2e4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PZKaQO2L2e4.mp4/PZKaQO2L2e4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PZKaQO2L2e4.m3u8/PZKaQO2L2e4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PZKaQO2L2e4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707164", "sha": "1dcfbfd071aaeb51c31a2aa99af744d2ac836347", "translated_description": "Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik", "image_url": "https://img.youtube.com/vi/PZKaQO2L2e4/hqdefault.jpg", "youtube_id": "PZKaQO2L2e4", "content_kind": "Video", "readable_id": "holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s"}, {"translated_youtube_id": "fr1QJWemI1Q", "relative_url": "/video/limbourg-brothers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limbourg-brothers", "duration": 1757, "translated_title": "The hidden masters of the Middle Ages: the Limbourg brothers", "translated_description_html": "

The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x1f55a3ad", "description_html": "

The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The hidden masters of the Middle Ages: the Limbourg brothers", "progress_key": "vx1f55a3ad", "edit_slug": "edit/v/x1f55a3ad", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/limbourg-brothers", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.mp4/fr1QJWemI1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.mp4/fr1QJWemI1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.m3u8/fr1QJWemI1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fr1QJWemI1Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1f55a3ad", "sha": "0991fbcc8616e4c6a8b41e251c8b80246e72403c", "translated_description": "The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/fr1QJWemI1Q/hqdefault.jpg", "youtube_id": "fr1QJWemI1Q", "content_kind": "Video", "readable_id": "limbourg-brothers"}], "twitter_url": "", "translated_description": "No, not the color and not the wine! In the 15th century, the duchy of Burgundy was one of the most powerful regions in Europe, and stretched from what is today central France up to what is today Belgium and Holland. The home of the Dukes of Burgundy was Dijon, and Duke Philip the Bold commissioned some of the century's greatest works there, including a Carthusian monastery just outside the city walls, where he hoped to be buried so the monks could pray for his soul for eternity. He hired some of the most brilliant artists in Europe to work for him there, including Claus Sluter. Very little of the monastery survives today, but thankfully Sluter’s great work, The Well of Moses, can still be seen there.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "No, not the color and not the wine! In the 15th century, the duchy of Burgundy was one of the most powerful regions in Europe, and stretched from what is today central France up to what is today Belgium and Holland. The home of the Dukes of Burgundy was Dijon, and Duke Philip the Bold commissioned some of the century's greatest works there, including a Carthusian monastery just outside the city walls, where he hoped to be buried so the monks could pray for his soul for eternity. He hired some of the most brilliant artists in Europe to work for him there, including Claus Sluter. Very little of the monastery survives today, but thankfully Sluter’s great work, The Well of Moses, can still be seen there.", "x_pos": 0.0, "node_slug": "burgundy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb5a58586", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/burgundy", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/burgundy", "slug": "burgundy", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85a1f214f9019a5fd63e6d9f67d054c20c12cdff", "standalone_title": "Art history: Burgundy", "y_pos": 0.0, "current_revision_key": "85a1f214f9019a5fd63e6d9f67d054c20c12cdff", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/flanders", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/flanders", "translated_standalone_title": "Art History: Flanders", "translated_title": "Flanders", "gplus_url": "", "id": "xe1f59ecc", "old_key_name": "o3PZfBWDO1tEVT0nUBhGC2dyW-ojAelsewN4s2Mj", "hide": false, "title": "Flanders", "child_data": [{"kind": "Video", "id": 671422828}, {"kind": "Article", "id": "x7629585f"}, {"kind": "Video", "id": 719474982}, {"kind": "Video", "id": "xc52a136f"}, {"kind": "Video", "id": "x4657d73e"}, {"kind": "Video", "id": 669432581}, {"kind": "Video", "id": "xd648f685"}, {"kind": "Video", "id": 708157436}, {"kind": "Video", "id": 708157435}, {"kind": "Video", "id": 671711112}, {"kind": "Video", "id": 708141469}, {"kind": "Video", "id": 671711114}, {"kind": "Video", "id": 719836277}, {"kind": "Video", "id": 671397707}, {"kind": "Video", "id": 719746434}, {"kind": "Video", "id": 671397705}, {"kind": "Exercise", "id": "x1f0d6e18"}], "children": [{"translated_youtube_id": "WdDzs70Txjs", "relative_url": "/video/campin--merode-altarpiece--1425-28", "has_questions": false, "keywords": "campin, Northern Renaissance, Flanders, Flemish, Netherlandish", "ka_url": "http://www.khanacademy.org/video/campin--merode-altarpiece--1425-28", "duration": 346, "translated_title": "Campin, Merode Altarpiece", "translated_description_html": "

Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html<\/p>", "id": "671422828", "description_html": "

Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html<\/p>", "title": "Campin, Merode Altarpiece", "progress_key": "v671422828", "edit_slug": "edit/v/671422828", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Campin"}, "node_slug": "v/campin--merode-altarpiece--1425-28", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WdDzs70Txjs.mp4/WdDzs70Txjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WdDzs70Txjs.mp4/WdDzs70Txjs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WdDzs70Txjs.m3u8/WdDzs70Txjs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WdDzs70Txjs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422828", "sha": "7bb49ae3f6fb123979f7c7149e7674119cc42a81", "translated_description": "Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html", "image_url": "https://img.youtube.com/vi/WdDzs70Txjs/hqdefault.jpg", "youtube_id": "WdDzs70Txjs", "content_kind": "Video", "readable_id": "campin--merode-altarpiece--1425-28"}, {"translated_youtube_id": "Axox0C6aoTo", "relative_url": "/video/robert-campin--christ-and-the-virgin--c--1430-35", "has_questions": false, "keywords": "Campin, Khan Academy, Smarthistory, Art History, Northern Renaissance, Christ, Virgin Mary, Google Art Project, Jesus, Flemish, Netherlandish, renaissance, northern, faces", "ka_url": "http://www.khanacademy.org/video/robert-campin--christ-and-the-virgin--c--1430-35", "duration": 183, "translated_title": "Campin, Christ and the Virgin", "translated_description_html": "Robert Campin (also called the Master of Flémalle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)", "id": "719474982", "description_html": "Robert Campin (also called the Master of Flémalle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)", "title": "Campin, Christ and the Virgin", "progress_key": "v719474982", "edit_slug": "edit/v/719474982", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Robert Campin (also called the Master of Flémalle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/campin-christ-and-the-virgin"}, "node_slug": "v/robert-campin--christ-and-the-virgin--c--1430-35", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Axox0C6aoTo.mp4/Axox0C6aoTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Axox0C6aoTo.mp4/Axox0C6aoTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Axox0C6aoTo.m3u8/Axox0C6aoTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Axox0C6aoTo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474982", "sha": "d913faf9201db5357ee26153ef82d2b81dea91c3", "translated_description": "Robert Campin (also called the Master of Flémalle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/Axox0C6aoTo/hqdefault.jpg", "youtube_id": "Axox0C6aoTo", "content_kind": "Video", "readable_id": "robert-campin--christ-and-the-virgin--c--1430-35"}, {"translated_youtube_id": "udgNvPpDb2I", "relative_url": "/video/ghent-altarpiece-closed", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ghent-altarpiece-closed", "duration": 318, "translated_title": "Van Eyck, Ghent Altarpiece or The Adoration of the Mystic Lamb, completed 1432", "translated_description_html": "

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "id": "xc52a136f", "description_html": "

Speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "title": "Van Eyck, Ghent Altarpiece or The Adoration of the Mystic Lamb, completed 1432", "progress_key": "vxc52a136f", "edit_slug": "edit/v/xc52a136f", "author_names": [], "deleted_mod_time": null, "description": "Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {}, "node_slug": "v/ghent-altarpiece-closed", "deleted": false, "backup_timestamp": "2013-11-15T13:01:42Z", "date_added": "2013-11-15T13:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/udgNvPpDb2I.mp4/udgNvPpDb2I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/udgNvPpDb2I.mp4/udgNvPpDb2I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/udgNvPpDb2I.m3u8/udgNvPpDb2I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=udgNvPpDb2I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc52a136f", "sha": "7209fb7414ab6b514ffd30de703ca68264be172d", "translated_description": "Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/udgNvPpDb2I/hqdefault.jpg", "youtube_id": "udgNvPpDb2I", "content_kind": "Video", "readable_id": "ghent-altarpiece-closed"}, {"translated_youtube_id": "JVhwinCiELI", "relative_url": "/video/ghent-altar-open", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ghent-altar-open", "duration": 443, "translated_title": "Jan van Eyck, The Ghent Altarpiece (open), 1432", "translated_description_html": "

Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>", "id": "x4657d73e", "description_html": "

Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>", "title": "Jan van Eyck, The Ghent Altarpiece (open), 1432", "progress_key": "vx4657d73e", "edit_slug": "edit/v/x4657d73e", "author_names": [], "deleted_mod_time": null, "description": "Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {}, "node_slug": "v/ghent-altar-open", "deleted": false, "backup_timestamp": "2013-11-15T13:01:42Z", "date_added": "2013-11-15T13:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVhwinCiELI.mp4/JVhwinCiELI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVhwinCiELI.mp4/JVhwinCiELI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVhwinCiELI.m3u8/JVhwinCiELI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVhwinCiELI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4657d73e", "sha": "15823641b3e095339a0d056556d45ab5e0291668", "translated_description": "Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/JVhwinCiELI/hqdefault.jpg", "youtube_id": "JVhwinCiELI", "content_kind": "Video", "readable_id": "ghent-altar-open"}, {"translated_youtube_id": "9ODhKqFaugQ", "relative_url": "/video/van-eyck--portrait-of-giovanni-arnolfini-and-his-wife--1434", "has_questions": false, "keywords": "arnolfini, van eyck, art history, smarthistory, Art history History of art", "ka_url": "http://www.khanacademy.org/video/van-eyck--portrait-of-giovanni-arnolfini-and-his-wife--1434", "duration": 432, "translated_title": "Jan van Eyck, Portrait of Giovanni Arnolfini and his Wife", "translated_description_html": "Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html", "id": "669432581", "description_html": "Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html", "title": "Jan van Eyck, Portrait of Giovanni Arnolfini and his Wife", "progress_key": "v669432581", "edit_slug": "edit/v/669432581", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/giovanni-arnolfini-and-his-wife"}, "node_slug": "v/van-eyck--portrait-of-giovanni-arnolfini-and-his-wife--1434", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9ODhKqFaugQ.mp4/9ODhKqFaugQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9ODhKqFaugQ.mp4/9ODhKqFaugQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9ODhKqFaugQ.m3u8/9ODhKqFaugQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9ODhKqFaugQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432581", "sha": "7aee28fb17a5a03f8b20c14a991e4f5bb329e3c7", "translated_description": "Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html", "image_url": "https://img.youtube.com/vi/9ODhKqFaugQ/hqdefault.jpg", "youtube_id": "9ODhKqFaugQ", "content_kind": "Video", "readable_id": "van-eyck--portrait-of-giovanni-arnolfini-and-his-wife--1434"}, {"translated_youtube_id": "B9vXathZikM", "relative_url": "/video/jan-van-eyck-portrait-of-a-man-self-portrait", "has_questions": false, "keywords": "Renaissance, van Eyck,", "ka_url": "http://www.khanacademy.org/video/jan-van-eyck-portrait-of-a-man-self-portrait", "duration": 272, "translated_title": "Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433", "translated_description_html": "

Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?)<\/em>, 1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)<\/p>\n\n

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>\n", "id": "xd648f685", "description_html": "

Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?)<\/em>, 1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)<\/p>\n\n

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>\n", "title": "Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433", "progress_key": "vxd648f685", "edit_slug": "edit/v/xd648f685", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-eycks-portrait-of-a-man-self-portrait-1433.html"}, "node_slug": "v/jan-van-eyck-portrait-of-a-man-self-portrait", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-08-06T00:23:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B9vXathZikM.mp4/B9vXathZikM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B9vXathZikM.mp4/B9vXathZikM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B9vXathZikM.m3u8/B9vXathZikM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B9vXathZikM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd648f685", "sha": "3d4e8d3043f2671b48432f5e22abcee398374965", "translated_description": "Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n", "image_url": "https://img.youtube.com/vi/B9vXathZikM/hqdefault.jpg", "youtube_id": "B9vXathZikM", "content_kind": "Video", "readable_id": "jan-van-eyck-portrait-of-a-man-self-portrait"}, {"translated_youtube_id": "RkUdm-GiSVc", "relative_url": "/video/jan-van-eyck--the-madonna-in-the-church--c--1438", "has_questions": false, "keywords": "Van Eyck, Cathedral, GAP, Google Art Project, Gemäldegalerie, Staatliche Museen zu Berlin, Berlin, Jan van Eyck, Madonna in the Church, 1438, oil on oak, Netherlandish, Northern Renaissance, Renaissance, Smarthistory, Khan Academy Educational, art history Documentary, Gothic", "ka_url": "http://www.khanacademy.org/video/jan-van-eyck--the-madonna-in-the-church--c--1438", "duration": 173, "translated_title": "Jan van Eyck, The Madonna in the Church", "translated_description_html": "Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/", "id": "708157436", "description_html": "Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/", "title": "Jan van Eyck, The Madonna in the Church", "progress_key": "v708157436", "edit_slug": "edit/v/708157436", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-eyck-the-madonna-in-the-church"}, "node_slug": "v/jan-van-eyck--the-madonna-in-the-church--c--1438", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RkUdm-GiSVc.mp4/RkUdm-GiSVc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RkUdm-GiSVc.mp4/RkUdm-GiSVc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RkUdm-GiSVc.m3u8/RkUdm-GiSVc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RkUdm-GiSVc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708157436", "sha": "3693d15f90e67a75cd752e4470c4f27f852e02b1", "translated_description": "Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/", "image_url": "https://img.youtube.com/vi/RkUdm-GiSVc/hqdefault.jpg", "youtube_id": "RkUdm-GiSVc", "content_kind": "Video", "readable_id": "jan-van-eyck--the-madonna-in-the-church--c--1438"}, {"translated_youtube_id": "bcrsyGxUbkA", "relative_url": "/video/petrus-christus--portrait-of-a-young-woman--c--1470", "has_questions": false, "keywords": "Christus, Girl, GAP, Google Art Project, Petrus Christus, Portrait of a Young Woman, 1470, oil on oak, Gemäldegalerie, Staatliche Museen zu Berlin, Berlin, Netherlandish, Renaissance, Northern, Painting, Portrait", "ka_url": "http://www.khanacademy.org/video/petrus-christus--portrait-of-a-young-woman--c--1470", "duration": 109, "translated_title": "Christus, Portrait of a Young Girl", "translated_description_html": "Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/", "id": "708157435", "description_html": "Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/", "title": "Christus, Portrait of a Young Girl", "progress_key": "v708157435", "edit_slug": "edit/v/708157435", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/christus-portrait-of-a-young-girl"}, "node_slug": "v/petrus-christus--portrait-of-a-young-woman--c--1470", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-04-07T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bcrsyGxUbkA.mp4/bcrsyGxUbkA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bcrsyGxUbkA.mp4/bcrsyGxUbkA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bcrsyGxUbkA.m3u8/bcrsyGxUbkA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bcrsyGxUbkA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708157435", "sha": "f93bf2b815d8687efb5a7e6f77be5360bde2458b", "translated_description": "Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gemäldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/", "image_url": "https://img.youtube.com/vi/bcrsyGxUbkA/hqdefault.jpg", "youtube_id": "bcrsyGxUbkA", "content_kind": "Video", "readable_id": "petrus-christus--portrait-of-a-young-woman--c--1470"}, {"translated_youtube_id": "2b7Qv5dtdf8", "relative_url": "/video/christus--portrait-of-a-carthusian--1446", "has_questions": false, "keywords": "Christus, Renaissance, Art, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/christus--portrait-of-a-carthusian--1446", "duration": 410, "translated_title": "Christus, Portrait of a Carthusian", "translated_description_html": "Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "id": "671711112", "description_html": "Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "title": "Christus, Portrait of a Carthusian", "progress_key": "v671711112", "edit_slug": "edit/v/671711112", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/petrus-christus-portrait"}, "node_slug": "v/christus--portrait-of-a-carthusian--1446", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2b7Qv5dtdf8.mp4/2b7Qv5dtdf8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2b7Qv5dtdf8.mp4/2b7Qv5dtdf8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2b7Qv5dtdf8.m3u8/2b7Qv5dtdf8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2b7Qv5dtdf8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711112", "sha": "b50f35d0e10e87f8c753b6c0ee18f6250ecdc86a", "translated_description": "Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/2b7Qv5dtdf8/hqdefault.jpg", "youtube_id": "2b7Qv5dtdf8", "content_kind": "Video", "readable_id": "christus--portrait-of-a-carthusian--1446"}, {"translated_youtube_id": "B0eHEo-f6fc", "relative_url": "/video/hugo-van-der-goes--the-adoration-of-the-kings--monforte-altar---c--1470", "has_questions": false, "keywords": "Van der Goes, Adoration, Magi, GAP, Netherlandish, Google Art Project, Smarthistory, Khan Academy, OER, Hugo van der Goes, Adoration of the Kings, Monforte Altar, 1470, oil on oak, Gemäldegalerie, Renaissance, Educational, art history, painting", "ka_url": "http://www.khanacademy.org/video/hugo-van-der-goes--the-adoration-of-the-kings--monforte-altar---c--1470", "duration": 228, "translated_title": "Van der Goes, The Adoration of the Kings", "translated_description_html": "Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708141469", "description_html": "Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Van der Goes, The Adoration of the Kings", "progress_key": "v708141469", "edit_slug": "edit/v/708141469", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-der-goes-the-adoration-of-the-kings"}, "node_slug": "v/hugo-van-der-goes--the-adoration-of-the-kings--monforte-altar---c--1470", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B0eHEo-f6fc.mp4/B0eHEo-f6fc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B0eHEo-f6fc.mp4/B0eHEo-f6fc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B0eHEo-f6fc.m3u8/B0eHEo-f6fc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B0eHEo-f6fc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708141469", "sha": "85f4e5c2d78c399f425468e27d4de2114ea64bfd", "translated_description": "Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/B0eHEo-f6fc/hqdefault.jpg", "youtube_id": "B0eHEo-f6fc", "content_kind": "Video", "readable_id": "hugo-van-der-goes--the-adoration-of-the-kings--monforte-altar---c--1470"}, {"translated_youtube_id": "SLf_oAkngP4", "relative_url": "/video/rogier-van-der-weyden--deposition--c--1435", "has_questions": false, "keywords": "Rogier van der Weyden, deposition, Prado, Madrid, Northern Renaissance, Smarthistory", "ka_url": "http://www.khanacademy.org/video/rogier-van-der-weyden--deposition--c--1435", "duration": 429, "translated_title": "Van der Weyden, Deposition", "translated_description_html": "Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris", "id": "671711114", "description_html": "Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris", "title": "Van der Weyden, Deposition", "progress_key": "v671711114", "edit_slug": "edit/v/671711114", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/weyden-deposition"}, "node_slug": "v/rogier-van-der-weyden--deposition--c--1435", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SLf_oAkngP4.mp4/SLf_oAkngP4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SLf_oAkngP4.mp4/SLf_oAkngP4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SLf_oAkngP4.m3u8/SLf_oAkngP4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SLf_oAkngP4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711114", "sha": "7ef46d37a1c53e0d371519e133762a9e9c4f8ea0", "translated_description": "Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris", "image_url": "https://img.youtube.com/vi/SLf_oAkngP4/hqdefault.jpg", "youtube_id": "SLf_oAkngP4", "content_kind": "Video", "readable_id": "rogier-van-der-weyden--deposition--c--1435"}, {"translated_youtube_id": "HhN5Zkbpt_k", "relative_url": "/video/rogier-van-der-weyden--crucifixion-triptych--c--1445", "has_questions": false, "keywords": "Weyden, Kunsthistorisches Museum, Rogier van der Weyden, Crucifixion, Triptych, 1445, Vienna, van der Weyden, Flemish, Netherlandish, Northern, Renaissance, Veronica, donors, Khan Academy, smarthistory, art history, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/rogier-van-der-weyden--crucifixion-triptych--c--1445", "duration": 297, "translated_title": "Van der Weyden, Crucifixion Triptych", "translated_description_html": "Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)", "id": "719836277", "description_html": "Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)", "title": "Van der Weyden, Crucifixion Triptych", "progress_key": "v719836277", "edit_slug": "edit/v/719836277", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-der-weyden-crucifixion-triptych"}, "node_slug": "v/rogier-van-der-weyden--crucifixion-triptych--c--1445", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HhN5Zkbpt_k.mp4/HhN5Zkbpt_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HhN5Zkbpt_k.mp4/HhN5Zkbpt_k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HhN5Zkbpt_k.m3u8/HhN5Zkbpt_k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HhN5Zkbpt_k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719836277", "sha": "1edaaae770f196d0356182f6f3e8b19e5211c0e1", "translated_description": "Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)", "image_url": "https://img.youtube.com/vi/HhN5Zkbpt_k/hqdefault.jpg", "youtube_id": "HhN5Zkbpt_k", "content_kind": "Video", "readable_id": "rogier-van-der-weyden--crucifixion-triptych--c--1445"}, {"translated_youtube_id": "uFiyXC_x2U0", "relative_url": "/video/rogier-van-der-weyden--the-last-judgment--1446-52", "has_questions": false, "keywords": "Last Judgment, Renaissance, Northern Renaissance, Art, Art History, Smarthistory, van der Weyden", "ka_url": "http://www.khanacademy.org/video/rogier-van-der-weyden--the-last-judgment--1446-52", "duration": 522, "translated_title": "Van der Weyden, The Last Judgment Polyptych", "translated_description_html": "Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Musée de l'Hôtel Dieu, Beaune)", "id": "671397707", "description_html": "Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Musée de l'Hôtel Dieu, Beaune)", "title": "Van der Weyden, The Last Judgment Polyptych", "progress_key": "v671397707", "edit_slug": "edit/v/671397707", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Musée de l'Hôtel Dieu, Beaune)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/weyden-last-judgment"}, "node_slug": "v/rogier-van-der-weyden--the-last-judgment--1446-52", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uFiyXC_x2U0.mp4/uFiyXC_x2U0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uFiyXC_x2U0.mp4/uFiyXC_x2U0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uFiyXC_x2U0.m3u8/uFiyXC_x2U0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uFiyXC_x2U0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397707", "sha": "06cde05a6439cdba673a07f59dd61b9ebc4a7e76", "translated_description": "Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Musée de l'Hôtel Dieu, Beaune)", "image_url": "https://img.youtube.com/vi/uFiyXC_x2U0/hqdefault.jpg", "youtube_id": "uFiyXC_x2U0", "content_kind": "Video", "readable_id": "rogier-van-der-weyden--the-last-judgment--1446-52"}, {"translated_youtube_id": "ULgGEXBmNlw", "relative_url": "/video/rogier-van-der-weyden--the-crucifixion--with-the-virgin-and-st--john-the-evangelist-----c--1460", "has_questions": false, "keywords": "Rogier van der Weyden, van der Weyden, Crucifixion, Virgin, Saint, John, Evangelist, Mourning, 1460, Philadelphia Museum of Art, Renaissance, Northern, Netherlandish, Smarthistory, Google Art Project, Khan Academy, OER, art history, painting", "ka_url": "http://www.khanacademy.org/video/rogier-van-der-weyden--the-crucifixion--with-the-virgin-and-st--john-the-evangelist-----c--1460", "duration": 390, "translated_title": "Van der Weyden, Crucifixion, with the Virgin and Saint John", "translated_description_html": "Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)", "id": "719746434", "description_html": "Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)", "title": "Van der Weyden, Crucifixion, with the Virgin and Saint John", "progress_key": "v719746434", "edit_slug": "edit/v/719746434", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-der-weydens-crucifixion-with-the-virgin-and-saint-john"}, "node_slug": "v/rogier-van-der-weyden--the-crucifixion--with-the-virgin-and-st--john-the-evangelist-----c--1460", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ULgGEXBmNlw.mp4/ULgGEXBmNlw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ULgGEXBmNlw.mp4/ULgGEXBmNlw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ULgGEXBmNlw.m3u8/ULgGEXBmNlw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ULgGEXBmNlw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719746434", "sha": "6bd1ddc6b0efb42d8f6714f32cbace6f60cfc574", "translated_description": "Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/ULgGEXBmNlw/hqdefault.jpg", "youtube_id": "ULgGEXBmNlw", "content_kind": "Video", "readable_id": "rogier-van-der-weyden--the-crucifixion--with-the-virgin-and-st--john-the-evangelist-----c--1460"}, {"translated_youtube_id": "26WASJHF46A", "relative_url": "/video/the-unicorn-in-captivity--1495-1505", "has_questions": false, "keywords": "Unicorn in Captivity, Unicorn, Unicorn Tapestries, Hunt, 1495, 1505, Netherlandish, wool, silk, silver, gilt, Cloisters, Metropolitan, Museum, Art, woven, art history, Smarthistory", "ka_url": "http://www.khanacademy.org/video/the-unicorn-in-captivity--1495-1505", "duration": 357, "translated_title": "The Unicorn in Captivity", "translated_description_html": "The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)", "id": "671397705", "description_html": "The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)", "title": "The Unicorn in Captivity", "progress_key": "v671397705", "edit_slug": "edit/v/671397705", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-unicorn-in-captivity"}, "node_slug": "v/the-unicorn-in-captivity--1495-1505", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-03-20T19:11:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/26WASJHF46A.mp4/26WASJHF46A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/26WASJHF46A.mp4/26WASJHF46A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/26WASJHF46A.m3u8/26WASJHF46A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=26WASJHF46A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397705", "sha": "11893fdebc1c49ba08d97f25363c22ceb2eafdd1", "translated_description": "The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)", "image_url": "https://img.youtube.com/vi/26WASJHF46A/hqdefault.jpg", "youtube_id": "26WASJHF46A", "content_kind": "Video", "readable_id": "the-unicorn-in-captivity--1495-1505"}], "twitter_url": "", "translated_description": "In the 15th century, Flanders (which is the northern portion of Belgium today) was ruled by the Dukes of Burgundy. The enormous wealth of the court of the Dukes and the wealth of the merchant class (in the thriving cities of Bruges and Tournai) made for a new interest in art that mimicked the material world, though in a way that was quite different from what was happening concurrently in Florence. Oil paint comes into its own in the work of Jan van Eyck and Rogier van der Weyden, and we see how the artists of the North used it to create stunning illusions of fur, wood, wool, glass, and jewels.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the 15th century, Flanders (which is the northern portion of Belgium today) was ruled by the Dukes of Burgundy. The enormous wealth of the court of the Dukes and the wealth of the merchant class (in the thriving cities of Bruges and Tournai) made for a new interest in art that mimicked the material world, though in a way that was quite different from what was happening concurrently in Florence. Oil paint comes into its own in the work of Jan van Eyck and Rogier van der Weyden, and we see how the artists of the North used it to create stunning illusions of fur, wood, wool, glass, and jewels.", "x_pos": 0.0, "node_slug": "flanders", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe1f59ecc", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/flanders", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/flanders", "slug": "flanders", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0e2f00251a698a7f08d9b5b9eab4e747383e3cc2", "standalone_title": "Art History: Flanders", "y_pos": 0.0, "current_revision_key": "0e2f00251a698a7f08d9b5b9eab4e747383e3cc2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/florence-1", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/florence-1", "translated_standalone_title": "Art History: Florence", "translated_title": "Florence", "gplus_url": "", "id": "xdfe3b313", "old_key_name": "LAX0wRDV9mq2MpIrxXr8t-sCQuHYYU410TdIUJeX", "hide": false, "title": "Florence", "child_data": [{"kind": "Video", "id": 671539951}, {"kind": "Video", "id": 956894708}, {"kind": "Video", "id": 671563209}, {"kind": "Video", "id": "xbd813a40"}, {"kind": "Video", "id": 952814014}, {"kind": "Video", "id": 671539956}, {"kind": "Video", "id": 956896601}, {"kind": "Video", "id": 952814015}, {"kind": "Video", "id": "x47604f6d"}, {"kind": "Video", "id": 671260994}, {"kind": "Video", "id": 808366548}, {"kind": "Video", "id": 671563210}, {"kind": "Video", "id": "x355b8254"}, {"kind": "Video", "id": 719513883}, {"kind": "Video", "id": "xedb3d0fb"}, {"kind": "Video", "id": "x7d306d02"}, {"kind": "Video", "id": 820638040}, {"kind": "Video", "id": 952814013}, {"kind": "Video", "id": 835852229}, {"kind": "Video", "id": 669432585}, {"kind": "Video", "id": 671260991}, {"kind": "Video", "id": 671563212}, {"kind": "Video", "id": 1239055966}, {"kind": "Video", "id": 719660620}, {"kind": "Video", "id": 671711108}, {"kind": "Video", "id": 671711110}, {"kind": "Video", "id": 719474981}, {"kind": "Video", "id": 671711115}, {"kind": "Video", "id": 671397706}, {"kind": "Video", "id": 671397708}, {"kind": "Video", "id": 816126260}, {"kind": "Video", "id": 708141470}, {"kind": "Exercise", "id": "x4188b034"}], "children": [{"translated_youtube_id": "-V51ZjxFeH4", "relative_url": "/video/orsanmichele--florence--1349-loggia--1380-1404-upper-stories", "has_questions": false, "keywords": "smarthistory, Art History, Florence, Orsanmichele, Donatello, Renaissance, Humanism", "ka_url": "http://www.khanacademy.org/video/orsanmichele--florence--1349-loggia--1380-1404-upper-stories", "duration": 293, "translated_title": "Orsanmichele", "translated_description_html": "Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671539951", "description_html": "Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Orsanmichele", "progress_key": "v671539951", "edit_slug": "edit/v/671539951", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/orsanmichele"}, "node_slug": "v/orsanmichele--florence--1349-loggia--1380-1404-upper-stories", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-V51ZjxFeH4.mp4/-V51ZjxFeH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-V51ZjxFeH4.mp4/-V51ZjxFeH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-V51ZjxFeH4.m3u8/-V51ZjxFeH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-V51ZjxFeH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539951", "sha": "81dd063f39fc024fc3571023777a9e5da59daad3", "translated_description": "Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/-V51ZjxFeH4/hqdefault.jpg", "youtube_id": "-V51ZjxFeH4", "content_kind": "Video", "readable_id": "orsanmichele--florence--1349-loggia--1380-1404-upper-stories"}, {"translated_youtube_id": "uvgBSJPiQ8Y", "relative_url": "/video/brunelleschi---ghiberti--sacrifice-of-isaac--competition-panels--1401-2", "has_questions": false, "keywords": "Competition Panels, brunelleschi, ghiberti, florence, baptistery, smarthistory, khan academy, sacrifice of isaac, Abraham, Isaac, renaissance, early renaissance", "ka_url": "http://www.khanacademy.org/video/brunelleschi---ghiberti--sacrifice-of-isaac--competition-panels--1401-2", "duration": 325, "translated_title": "Brunelleschi & Ghiberti, the Sacrifice of Isaac", "translated_description_html": "Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "956894708", "description_html": "Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Brunelleschi & Ghiberti, the Sacrifice of Isaac", "progress_key": "v956894708", "edit_slug": "edit/v/956894708", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/brunelleschi-ghiberti-isaac"}, "node_slug": "v/brunelleschi---ghiberti--sacrifice-of-isaac--competition-panels--1401-2", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-08-10T20:50:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uvgBSJPiQ8Y.mp4/uvgBSJPiQ8Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uvgBSJPiQ8Y.mp4/uvgBSJPiQ8Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uvgBSJPiQ8Y.m3u8/uvgBSJPiQ8Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uvgBSJPiQ8Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956894708", "sha": "9c7deb0ec0aa2286f085edb1d05284892c7b7bad", "translated_description": "Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/uvgBSJPiQ8Y/hqdefault.jpg", "youtube_id": "uvgBSJPiQ8Y", "content_kind": "Video", "readable_id": "brunelleschi---ghiberti--sacrifice-of-isaac--competition-panels--1401-2"}, {"translated_youtube_id": "bkNMM8uiMww", "relative_url": "/video/linear-perspective--brunelleschi-s-experiement", "has_questions": false, "keywords": "brunelleschi, filippo brunelleschi, linear perspective, renaissance, italian renaissance, Leon Battista Alberti, John Berger, perspective, art, history, art history", "ka_url": "http://www.khanacademy.org/video/linear-perspective--brunelleschi-s-experiement", "duration": 256, "translated_title": "Linear Perspective: Brunelleschi's Experiment", "translated_description_html": "An introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html", "id": "671563209", "description_html": "An introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html", "title": "Linear Perspective: Brunelleschi's Experiment", "progress_key": "v671563209", "edit_slug": "edit/v/671563209", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Brunelleschi"}, "node_slug": "v/linear-perspective--brunelleschi-s-experiement", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-03-20T19:11:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bkNMM8uiMww.mp4/bkNMM8uiMww.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bkNMM8uiMww.mp4/bkNMM8uiMww.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bkNMM8uiMww.m3u8/bkNMM8uiMww.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bkNMM8uiMww&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563209", "sha": "bbfdc34fe58a748aafd9afb92763fe9c84697a92", "translated_description": "An introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html", "image_url": "https://img.youtube.com/vi/bkNMM8uiMww/hqdefault.jpg", "youtube_id": "bkNMM8uiMww", "content_kind": "Video", "readable_id": "linear-perspective--brunelleschi-s-experiement"}, {"translated_youtube_id": "eOksHhQ8TLM", "relative_url": "/video/how-one-point-linear-perspective-works", "has_questions": false, "keywords": "perspective", "ka_url": "http://www.khanacademy.org/video/how-one-point-linear-perspective-works", "duration": 716, "translated_title": "How one-point linear perspective works", "translated_description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xbd813a40", "description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "How one-point linear perspective works", "progress_key": "vxbd813a40", "edit_slug": "edit/v/xbd813a40", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/how-one-point-linear-perspective-works.html"}, "node_slug": "v/how-one-point-linear-perspective-works", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-05-10T23:02:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.mp4/eOksHhQ8TLM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.mp4/eOksHhQ8TLM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eOksHhQ8TLM.m3u8/eOksHhQ8TLM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eOksHhQ8TLM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbd813a40", "sha": "f16ffdf99bbc07f6b434e8535e1017e5b51f6b59", "translated_description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/eOksHhQ8TLM/hqdefault.jpg", "youtube_id": "eOksHhQ8TLM", "content_kind": "Video", "readable_id": "how-one-point-linear-perspective-works"}, {"translated_youtube_id": "jYZ71Zma9Gc", "relative_url": "/video/brunelleschi--old-sacristy--san-lorenzo--florence--begun-c--1421", "has_questions": false, "keywords": "art history, khan academy, smarthistory, brunelleschi, early renaissance, architecture, old sacristy", "ka_url": "http://www.khanacademy.org/video/brunelleschi--old-sacristy--san-lorenzo--florence--begun-c--1421", "duration": 242, "translated_title": "Brunelleschi, Old Sacristy", "translated_description_html": "Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "952814014", "description_html": "Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Brunelleschi, Old Sacristy", "progress_key": "v952814014", "edit_slug": "edit/v/952814014", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/brunelleschis-old-sacristy"}, "node_slug": "v/brunelleschi--old-sacristy--san-lorenzo--florence--begun-c--1421", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-09T04:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jYZ71Zma9Gc.mp4/jYZ71Zma9Gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jYZ71Zma9Gc.mp4/jYZ71Zma9Gc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jYZ71Zma9Gc.m3u8/jYZ71Zma9Gc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jYZ71Zma9Gc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952814014", "sha": "6cf21211bf3b9bdd1cedc0c0bd226957b6f102be", "translated_description": "Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/jYZ71Zma9Gc/hqdefault.jpg", "youtube_id": "jYZ71Zma9Gc", "content_kind": "Video", "readable_id": "brunelleschi--old-sacristy--san-lorenzo--florence--begun-c--1421"}, {"translated_youtube_id": "TQ8F_yPwqzA", "relative_url": "/video/brunelleschi--dome-of-the-cathedral-of-florence--1420-36", "has_questions": false, "keywords": "art history, smarthistory, Brunelleschi, Duomo, Dome, Florence", "ka_url": "http://www.khanacademy.org/video/brunelleschi--dome-of-the-cathedral-of-florence--1420-36", "duration": 352, "translated_title": "Brunelleschi, Dome", "translated_description_html": "Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671539956", "description_html": "Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Brunelleschi, Dome", "progress_key": "v671539956", "edit_slug": "edit/v/671539956", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/brunelleschis-dome"}, "node_slug": "v/brunelleschi--dome-of-the-cathedral-of-florence--1420-36", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TQ8F_yPwqzA.mp4/TQ8F_yPwqzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TQ8F_yPwqzA.mp4/TQ8F_yPwqzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TQ8F_yPwqzA.m3u8/TQ8F_yPwqzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TQ8F_yPwqzA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539956", "sha": "b14c41bc23cdf38643faa912ae333a904dd7d28b", "translated_description": "Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/TQ8F_yPwqzA/hqdefault.jpg", "youtube_id": "TQ8F_yPwqzA", "content_kind": "Video", "readable_id": "brunelleschi--dome-of-the-cathedral-of-florence--1420-36"}, {"translated_youtube_id": "LKv0hRyiGCY", "relative_url": "/video/brunelleschi--pazzi-chapel--santa-croce--florence--completed-1460s", "has_questions": false, "keywords": "smarthistory, khan academy, santa croce, florence, brunelleschi, pazzi chapel, Renaissance, architecture, Early Renaissance", "ka_url": "http://www.khanacademy.org/video/brunelleschi--pazzi-chapel--santa-croce--florence--completed-1460s", "duration": 203, "translated_title": "Brunelleschi, Pazzi Chapel", "translated_description_html": "Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker", "id": "956896601", "description_html": "Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker", "title": "Brunelleschi, Pazzi Chapel", "progress_key": "v956896601", "edit_slug": "edit/v/956896601", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/brunelleschis-pazzi-chapel"}, "node_slug": "v/brunelleschi--pazzi-chapel--santa-croce--florence--completed-1460s", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-08-10T20:50:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LKv0hRyiGCY.mp4/LKv0hRyiGCY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LKv0hRyiGCY.mp4/LKv0hRyiGCY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LKv0hRyiGCY.m3u8/LKv0hRyiGCY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LKv0hRyiGCY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956896601", "sha": "94b3ef6509ae1c7b0d19c0c33562a66f74efc407", "translated_description": "Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker", "image_url": "https://img.youtube.com/vi/LKv0hRyiGCY/hqdefault.jpg", "youtube_id": "LKv0hRyiGCY", "content_kind": "Video", "readable_id": "brunelleschi--pazzi-chapel--santa-croce--florence--completed-1460s"}, {"translated_youtube_id": "ggpKKlsaeac", "relative_url": "/video/brunelleschi-s-santo-spirito--florence--1428-81", "has_questions": false, "keywords": "art history, khan academy, Brunelleschi, Florence, Santo Spirito, Renaissance, Early Renaissance", "ka_url": "http://www.khanacademy.org/video/brunelleschi-s-santo-spirito--florence--1428-81", "duration": 235, "translated_title": "Brunelleschi, Santo Spirito", "translated_description_html": "Filippo Brunelleschi's Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "952814015", "description_html": "Filippo Brunelleschi's Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Brunelleschi, Santo Spirito", "progress_key": "v952814015", "edit_slug": "edit/v/952814015", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Filippo Brunelleschi's Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/brunelleschis-santo-spirito"}, "node_slug": "v/brunelleschi-s-santo-spirito--florence--1428-81", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-08-09T04:46:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ggpKKlsaeac.mp4/ggpKKlsaeac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ggpKKlsaeac.mp4/ggpKKlsaeac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ggpKKlsaeac.m3u8/ggpKKlsaeac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ggpKKlsaeac&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952814015", "sha": "f8bafd09e8ab293abda330ac0e70a16c524d0438", "translated_description": "Filippo Brunelleschi's Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ggpKKlsaeac/hqdefault.jpg", "youtube_id": "ggpKKlsaeac", "content_kind": "Video", "readable_id": "brunelleschi-s-santo-spirito--florence--1428-81"}, {"translated_youtube_id": "LPZ5C3CgavE", "relative_url": "/video/nanni-di-banco-four-crowned-saints", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nanni-di-banco-four-crowned-saints", "duration": 202, "translated_title": "Nanni di Banco, Four Crowned Saints, 1410-16", "translated_description_html": "

Nanni Di Banco, <\/em>Four Crowned Saints<\/em>, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6' high<\/p>\n", "id": "x47604f6d", "description_html": "

Nanni Di Banco, <\/em>Four Crowned Saints<\/em>, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6' high<\/p>\n", "title": "Nanni di Banco, Four Crowned Saints, 1410-16", "progress_key": "vx47604f6d", "edit_slug": "edit/v/x47604f6d", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Nanni Di Banco, Four Crowned Saints, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6' high\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/nanni-di-bancos-four-crowned-saints.html"}, "node_slug": "v/nanni-di-banco-four-crowned-saints", "deleted": false, "backup_timestamp": "2013-09-24T18:09:49Z", "date_added": "2013-09-24T18:05:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LPZ5C3CgavE.mp4/LPZ5C3CgavE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LPZ5C3CgavE.mp4/LPZ5C3CgavE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LPZ5C3CgavE.m3u8/LPZ5C3CgavE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LPZ5C3CgavE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx47604f6d", "sha": "40ce08a8ea78edec10480e895912388ccce7e91f", "translated_description": "Nanni Di Banco, Four Crowned Saints, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6' high\n", "image_url": "https://img.youtube.com/vi/LPZ5C3CgavE/hqdefault.jpg", "youtube_id": "LPZ5C3CgavE", "content_kind": "Video", "readable_id": "nanni-di-banco-four-crowned-saints"}, {"translated_youtube_id": "A8GQfq3U96M", "relative_url": "/video/donatello--st--mark--1411-13", "has_questions": false, "keywords": "Donatello, St. Mark, Art History, Smarthistory, Orsanmichele, Florence", "ka_url": "http://www.khanacademy.org/video/donatello--st--mark--1411-13", "duration": 335, "translated_title": "Donatello, Saint Mark", "translated_description_html": "Donatello, St. Mark, 1411-13, marble, 93\" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671260994", "description_html": "Donatello, St. Mark, 1411-13, marble, 93\" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Donatello, Saint Mark", "progress_key": "v671260994", "edit_slug": "edit/v/671260994", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Donatello, St. Mark, 1411-13, marble, 93\" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/donatello-saint-mark"}, "node_slug": "v/donatello--st--mark--1411-13", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A8GQfq3U96M.mp4/A8GQfq3U96M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A8GQfq3U96M.mp4/A8GQfq3U96M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A8GQfq3U96M.m3u8/A8GQfq3U96M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A8GQfq3U96M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260994", "sha": "7eb101c202d5f0c0fe40e5e5e04f8196084264e3", "translated_description": "Donatello, St. Mark, 1411-13, marble, 93\" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/A8GQfq3U96M/hqdefault.jpg", "youtube_id": "A8GQfq3U96M", "content_kind": "Video", "readable_id": "donatello--st--mark--1411-13"}, {"translated_youtube_id": "J9_ouZpBknM", "relative_url": "/video/donatello--feast-of-herod-1423-27", "has_questions": false, "keywords": "smarthistory, khan academy, donatello, art history, renaissance, siena, baptistry", "ka_url": "http://www.khanacademy.org/video/donatello--feast-of-herod-1423-27", "duration": 274, "translated_title": "Donatello, Feast of Herod", "translated_description_html": "Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.", "id": "808366548", "description_html": "Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.", "title": "Donatello, Feast of Herod", "progress_key": "v808366548", "edit_slug": "edit/v/808366548", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/feast-of-herod"}, "node_slug": "v/donatello--feast-of-herod-1423-27", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-05-28T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J9_ouZpBknM.mp4/J9_ouZpBknM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J9_ouZpBknM.mp4/J9_ouZpBknM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J9_ouZpBknM.m3u8/J9_ouZpBknM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J9_ouZpBknM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v808366548", "sha": "c47854e306cbc5ac4b5f6da4b8b01f82ed89c803", "translated_description": "Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.", "image_url": "https://img.youtube.com/vi/J9_ouZpBknM/hqdefault.jpg", "youtube_id": "J9_ouZpBknM", "content_kind": "Video", "readable_id": "donatello--feast-of-herod-1423-27"}, {"translated_youtube_id": "6kUUJJV_MNA", "relative_url": "/video/donatello--david--bronze--c--1440s", "has_questions": false, "keywords": "donatello, david, florence, bargello, italian renaissance, renaissance, Goliath, contrapposto, art, history, art history, history of art, Milan, Florentine Republic, Medici, Palazzo Medici, lost wax casting, nude", "ka_url": "http://www.khanacademy.org/video/donatello--david--bronze--c--1440s", "duration": 444, "translated_title": "Donatello, David", "translated_description_html": "Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html", "id": "671563210", "description_html": "Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html", "title": "Donatello, David", "progress_key": "v671563210", "edit_slug": "edit/v/671563210", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Donatello"}, "node_slug": "v/donatello--david--bronze--c--1440s", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6kUUJJV_MNA.mp4/6kUUJJV_MNA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6kUUJJV_MNA.mp4/6kUUJJV_MNA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6kUUJJV_MNA.m3u8/6kUUJJV_MNA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6kUUJJV_MNA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563210", "sha": "6f41c7cf88565325bed1d0b2ed5476203702e4d9", "translated_description": "Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html", "image_url": "https://img.youtube.com/vi/6kUUJJV_MNA/hqdefault.jpg", "youtube_id": "6kUUJJV_MNA", "content_kind": "Video", "readable_id": "donatello--david--bronze--c--1440s"}, {"translated_youtube_id": "4AR_KftDRs4", "relative_url": "/video/casting-bronze-indirect-lost-wax", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/casting-bronze-indirect-lost-wax", "duration": 370, "translated_title": "Casting bronze: indirect lost-wax method", "translated_description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "id": "x355b8254", "description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "title": "Casting bronze: indirect lost-wax method", "progress_key": "vx355b8254", "edit_slug": "edit/v/x355b8254", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/casting-bronze-indirect-lost-wax", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.m3u8/4AR_KftDRs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4AR_KftDRs4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx355b8254", "sha": "cd85e46a964d6e2b38f63b348d5c1899487ef3b0", "translated_description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/4AR_KftDRs4/hqdefault.jpg", "youtube_id": "4AR_KftDRs4", "content_kind": "Video", "readable_id": "casting-bronze-indirect-lost-wax"}, {"translated_youtube_id": "q3N1IqBoKSo", "relative_url": "/video/donatello--madonna-of-the-clouds--c--1425--35", "has_questions": false, "keywords": "Donatello, MFA, Boston, Renaissance, Italy, Relief, Sculpture, Florence, Italian, Madonna of the Clouds, Madonna, Clouds, Khan Academy, smarthistory, art history, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/donatello--madonna-of-the-clouds--c--1425--35", "duration": 274, "translated_title": "Donatello, Madonna of the Clouds", "translated_description_html": "Donatello, Madonna of the Clouds, c. 1425--35, marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)", "id": "719513883", "description_html": "Donatello, Madonna of the Clouds, c. 1425--35, marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)", "title": "Donatello, Madonna of the Clouds", "progress_key": "v719513883", "edit_slug": "edit/v/719513883", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Donatello, Madonna of the Clouds, c. 1425--35, marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/donatello-madonna-of-the-clouds"}, "node_slug": "v/donatello--madonna-of-the-clouds--c--1425--35", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.mp4/q3N1IqBoKSo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.mp4/q3N1IqBoKSo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.m3u8/q3N1IqBoKSo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q3N1IqBoKSo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719513883", "sha": "f3f77741fdc166a46951055cd0b6fd5c33787df6", "translated_description": "Donatello, Madonna of the Clouds, c. 1425--35, marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/q3N1IqBoKSo/hqdefault.jpg", "youtube_id": "q3N1IqBoKSo", "content_kind": "Video", "readable_id": "donatello--madonna-of-the-clouds--c--1425--35"}, {"translated_youtube_id": "6dWHPHELCKU", "relative_url": "/video/donatello--equestrian-monument-of-gattamelata", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/donatello--equestrian-monument-of-gattamelata", "duration": 341, "translated_title": "Donatello, Equestrian Monument of Gattamelata", "translated_description_html": "Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xedb3d0fb", "description_html": "Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Donatello, Equestrian Monument of Gattamelata", "progress_key": "vxedb3d0fb", "edit_slug": "edit/v/xedb3d0fb", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/donatello-equestrian-monument-of-gattamelata.html"}, "node_slug": "v/donatello--equestrian-monument-of-gattamelata", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-08T15:55:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6dWHPHELCKU.mp4/6dWHPHELCKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6dWHPHELCKU.mp4/6dWHPHELCKU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6dWHPHELCKU.m3u8/6dWHPHELCKU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6dWHPHELCKU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedb3d0fb", "sha": "e49a1f85febc766be2d578f3fb54c9c8d13d7ad3", "translated_description": "Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6dWHPHELCKU/hqdefault.jpg", "youtube_id": "6dWHPHELCKU", "content_kind": "Video", "readable_id": "donatello--equestrian-monument-of-gattamelata"}, {"translated_youtube_id": "-UZuG3XpAd0", "relative_url": "/video/donatello-mary-magdalene", "has_questions": false, "keywords": "art history, renaissance", "ka_url": "http://www.khanacademy.org/video/donatello-mary-magdalene", "duration": 246, "translated_title": "Donatello, Mary Magdalene, c. 1455", "translated_description_html": "Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "x7d306d02", "description_html": "Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Donatello, Mary Magdalene, c. 1455", "progress_key": "vx7d306d02", "edit_slug": "edit/v/x7d306d02", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://khan.smarthistory.org/donatellos-mary-magdalene.html"}, "node_slug": "v/donatello-mary-magdalene", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-05-24T23:59:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-UZuG3XpAd0.mp4/-UZuG3XpAd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-UZuG3XpAd0.mp4/-UZuG3XpAd0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-UZuG3XpAd0.m3u8/-UZuG3XpAd0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-UZuG3XpAd0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7d306d02", "sha": "4e9d38f019091af267595ef31784c26bed834b2c", "translated_description": "Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/-UZuG3XpAd0/hqdefault.jpg", "youtube_id": "-UZuG3XpAd0", "content_kind": "Video", "readable_id": "donatello-mary-magdalene"}, {"translated_youtube_id": "oDPNSPbjzQ8", "relative_url": "/video/masaccio--the-tribute-money--1427", "has_questions": false, "keywords": "Masaccio, Tribute Money, Smarthistory, Khan Academy, Florence, Renaissance, Early Renaissance, Brancacci Chapel", "ka_url": "http://www.khanacademy.org/video/masaccio--the-tribute-money--1427", "duration": 485, "translated_title": "Masaccio, The Tribute Money in the Brancacci Chapel", "translated_description_html": "Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "820638040", "description_html": "Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Masaccio, The Tribute Money in the Brancacci Chapel", "progress_key": "v820638040", "edit_slug": "edit/v/820638040", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Masaccio"}, "node_slug": "v/masaccio--the-tribute-money--1427", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-06-04T08:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oDPNSPbjzQ8.mp4/oDPNSPbjzQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oDPNSPbjzQ8.mp4/oDPNSPbjzQ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oDPNSPbjzQ8.m3u8/oDPNSPbjzQ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oDPNSPbjzQ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v820638040", "sha": "6e918047ca885a60eb44356e44b47385b8c64d64", "translated_description": "Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/oDPNSPbjzQ8/hqdefault.jpg", "youtube_id": "oDPNSPbjzQ8", "content_kind": "Video", "readable_id": "masaccio--the-tribute-money--1427"}, {"translated_youtube_id": "hMzFbORRiss", "relative_url": "/video/masaccio--expulsion-of-adam-and-eve-from-eden--brancacci-chapel--c--1424-1427", "has_questions": false, "keywords": "smarthistory, art history, khan academy, florence, renaissance, masaccio, early renaissance, santa maria del carmine, brancacci chapel", "ka_url": "http://www.khanacademy.org/video/masaccio--expulsion-of-adam-and-eve-from-eden--brancacci-chapel--c--1424-1427", "duration": 300, "translated_title": "Masaccio, Expulsion of Adam and Eve from Eden", "translated_description_html": "Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7' x 2' 11\"", "id": "952814013", "description_html": "Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7' x 2' 11\"", "title": "Masaccio, Expulsion of Adam and Eve from Eden", "progress_key": "v952814013", "edit_slug": "edit/v/952814013", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7' x 2' 11\"", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/masaccios-expulsion"}, "node_slug": "v/masaccio--expulsion-of-adam-and-eve-from-eden--brancacci-chapel--c--1424-1427", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-08-09T04:46:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hMzFbORRiss.mp4/hMzFbORRiss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hMzFbORRiss.mp4/hMzFbORRiss.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hMzFbORRiss.m3u8/hMzFbORRiss.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hMzFbORRiss&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v952814013", "sha": "14644afcc4a8c203e9ebb5c3f0d0ee4f8a9c55a8", "translated_description": "Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7' x 2' 11\"", "image_url": "https://img.youtube.com/vi/hMzFbORRiss/hqdefault.jpg", "youtube_id": "hMzFbORRiss", "content_kind": "Video", "readable_id": "masaccio--expulsion-of-adam-and-eve-from-eden--brancacci-chapel--c--1424-1427"}, {"translated_youtube_id": "Kl4Dcj9o570", "relative_url": "/video/masaccio--holy-trinity--c--1427", "has_questions": false, "keywords": "Masaccio, Florence, Art History, Smarthistory, Khan Academy, Santa Maria Novella, Renaissance, Fresco", "ka_url": "http://www.khanacademy.org/video/masaccio--holy-trinity--c--1427", "duration": 517, "translated_title": "Masaccio, Holy Trinity", "translated_description_html": "Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence", "id": "835852229", "description_html": "Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence", "title": "Masaccio, Holy Trinity", "progress_key": "v835852229", "edit_slug": "edit/v/835852229", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holy-trinity-santa-maria-novella-florence"}, "node_slug": "v/masaccio--holy-trinity--c--1427", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-06-11T08:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kl4Dcj9o570.mp4/Kl4Dcj9o570.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kl4Dcj9o570.mp4/Kl4Dcj9o570.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kl4Dcj9o570.m3u8/Kl4Dcj9o570.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kl4Dcj9o570&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v835852229", "sha": "77e0cc40b111ca966fb3687bbad84a084d647d86", "translated_description": "Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence", "image_url": "https://img.youtube.com/vi/Kl4Dcj9o570/hqdefault.jpg", "youtube_id": "Kl4Dcj9o570", "content_kind": "Video", "readable_id": "masaccio--holy-trinity--c--1427"}, {"translated_youtube_id": "6LurHwFfrIA", "relative_url": "/video/masaccio--madonna-enthroned--1426", "has_questions": false, "keywords": "Masaccio, Madonna Enthroned, National Gallery, London, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/masaccio--madonna-enthroned--1426", "duration": 330, "translated_title": "Masaccio, Virgin and Child Enthroned", "translated_description_html": "Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html", "id": "669432585", "description_html": "Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html", "title": "Masaccio, Virgin and Child Enthroned", "progress_key": "v669432585", "edit_slug": "edit/v/669432585", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/masaccio-virgin-and-child-enthroned"}, "node_slug": "v/masaccio--madonna-enthroned--1426", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6LurHwFfrIA.mp4/6LurHwFfrIA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6LurHwFfrIA.mp4/6LurHwFfrIA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6LurHwFfrIA.m3u8/6LurHwFfrIA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6LurHwFfrIA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432585", "sha": "0d18e2bd8106d3463fe9caff9f6954d24aa951e0", "translated_description": "Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html", "image_url": "https://img.youtube.com/vi/6LurHwFfrIA/hqdefault.jpg", "youtube_id": "6LurHwFfrIA", "content_kind": "Video", "readable_id": "masaccio--madonna-enthroned--1426"}, {"translated_youtube_id": "3B-V_pG3HPQ", "relative_url": "/video/fra-angelico--the-annunciation--c--1438-47", "has_questions": false, "keywords": "art history, smarthistory, Fra Angelico, San Marco", "ka_url": "http://www.khanacademy.org/video/fra-angelico--the-annunciation--c--1438-47", "duration": 697, "translated_title": "Fra Angelico, The Annunciation", "translated_description_html": "Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker", "id": "671260991", "description_html": "Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker", "title": "Fra Angelico, The Annunciation", "progress_key": "v671260991", "edit_slug": "edit/v/671260991", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/fra-angelico-the-annunciation"}, "node_slug": "v/fra-angelico--the-annunciation--c--1438-47", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3B-V_pG3HPQ.mp4/3B-V_pG3HPQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3B-V_pG3HPQ.mp4/3B-V_pG3HPQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3B-V_pG3HPQ.m3u8/3B-V_pG3HPQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3B-V_pG3HPQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260991", "sha": "dba9ce36ef90f5d0ca7d5f90636ecb1661ec542b", "translated_description": "Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/3B-V_pG3HPQ/hqdefault.jpg", "youtube_id": "3B-V_pG3HPQ", "content_kind": "Video", "readable_id": "fra-angelico--the-annunciation--c--1438-47"}, {"translated_youtube_id": "6lH7zWK_SAg", "relative_url": "/video/fra-angelico--the-annunciation-and-life-of-the-virgin--in-the-predella---c--1426", "has_questions": false, "keywords": "fra Angelico, Prado, art history, smarthistory, renaissance, florence", "ka_url": "http://www.khanacademy.org/video/fra-angelico--the-annunciation-and-life-of-the-virgin--in-the-predella---c--1426", "duration": 220, "translated_title": "Fra Angelico, The Annunciation (Prado)", "translated_description_html": "Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671563212", "description_html": "Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Fra Angelico, The Annunciation (Prado)", "progress_key": "v671563212", "edit_slug": "edit/v/671563212", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/fra-angelico-annunciation"}, "node_slug": "v/fra-angelico--the-annunciation-and-life-of-the-virgin--in-the-predella---c--1426", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6lH7zWK_SAg.mp4/6lH7zWK_SAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6lH7zWK_SAg.mp4/6lH7zWK_SAg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6lH7zWK_SAg.m3u8/6lH7zWK_SAg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6lH7zWK_SAg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563212", "sha": "f63e10883d3f9e2c781f5667941b8e6bacfb2658", "translated_description": "Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6lH7zWK_SAg/hqdefault.jpg", "youtube_id": "6lH7zWK_SAg", "content_kind": "Video", "readable_id": "fra-angelico--the-annunciation-and-life-of-the-virgin--in-the-predella---c--1426"}, {"translated_youtube_id": "p8Vasl3L5p8", "relative_url": "/video/paolo-uccello--battle-of-san-romano--c--1538-40", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paolo-uccello--battle-of-san-romano--c--1538-40", "duration": 213, "translated_title": "Uccello, The Battle of San Romano", "translated_description_html": "Paolo Uccello's Battle of San Romano, probably c. 1438-40 in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1239055966", "description_html": "Paolo Uccello's Battle of San Romano, probably c. 1438-40 in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Uccello, The Battle of San Romano", "progress_key": "v1239055966", "edit_slug": "edit/v/1239055966", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Paolo Uccello's Battle of San Romano, probably c. 1438-40 in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/uccellos-the-battle-of-san-romano"}, "node_slug": "v/paolo-uccello--battle-of-san-romano--c--1538-40", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-12-19T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p8Vasl3L5p8.mp4/p8Vasl3L5p8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p8Vasl3L5p8.mp4/p8Vasl3L5p8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p8Vasl3L5p8.m3u8/p8Vasl3L5p8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p8Vasl3L5p8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1239055966", "sha": "62fbc8a111963089971adf4021d27825f2a2adde", "translated_description": "Paolo Uccello's Battle of San Romano, probably c. 1438-40 in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/p8Vasl3L5p8/hqdefault.jpg", "youtube_id": "p8Vasl3L5p8", "content_kind": "Video", "readable_id": "paolo-uccello--battle-of-san-romano--c--1538-40"}, {"translated_youtube_id": "Ly2-n1KqNko", "relative_url": "/video/fra-filippo-lippi--madonna-and-child-with-two-angels--c--1460-1465", "has_questions": false, "keywords": "Lippi, angels, Uffizi, GAP, Fra Filippo Lippi, 1460, 1465, Florence, Early Italian Renaissance, Renaissance, Italian, painting, tempera, Madonna, child, Google Art Project, Khan Academy, Smarthistory, art history, OER", "ka_url": "http://www.khanacademy.org/video/fra-filippo-lippi--madonna-and-child-with-two-angels--c--1460-1465", "duration": 237, "translated_title": "Fra Filippo Lippi, Madonna and Child with two Angels", "translated_description_html": "Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)", "id": "719660620", "description_html": "Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)", "title": "Fra Filippo Lippi, Madonna and Child with two Angels", "progress_key": "v719660620", "edit_slug": "edit/v/719660620", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Lippi"}, "node_slug": "v/fra-filippo-lippi--madonna-and-child-with-two-angels--c--1460-1465", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-13T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ly2-n1KqNko.mp4/Ly2-n1KqNko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ly2-n1KqNko.mp4/Ly2-n1KqNko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ly2-n1KqNko.m3u8/Ly2-n1KqNko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ly2-n1KqNko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719660620", "sha": "509b7f8b7cb1a687d0304f61e85347bfc09d3960", "translated_description": "Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)", "image_url": "https://img.youtube.com/vi/Ly2-n1KqNko/hqdefault.jpg", "youtube_id": "Ly2-n1KqNko", "content_kind": "Video", "readable_id": "fra-filippo-lippi--madonna-and-child-with-two-angels--c--1460-1465"}, {"translated_youtube_id": "049sSl4lEuk", "relative_url": "/video/fra-filippo-lippi--madonna-and-child--c--1440", "has_questions": false, "keywords": "Lippi, smarthistory, art, art history, Renaissance", "ka_url": "http://www.khanacademy.org/video/fra-filippo-lippi--madonna-and-child--c--1440", "duration": 194, "translated_title": "Fra Filippo Lippi, Madonna and Child", "translated_description_html": "Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org", "id": "671711108", "description_html": "Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org", "title": "Fra Filippo Lippi, Madonna and Child", "progress_key": "v671711108", "edit_slug": "edit/v/671711108", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/fra-filippo-lippis-madonna-and-child"}, "node_slug": "v/fra-filippo-lippi--madonna-and-child--c--1440", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/049sSl4lEuk.mp4/049sSl4lEuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/049sSl4lEuk.mp4/049sSl4lEuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/049sSl4lEuk.m3u8/049sSl4lEuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=049sSl4lEuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711108", "sha": "5d012c5326210d9d09fb8caa8febc610f1a81dfc", "translated_description": "Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org", "image_url": "https://img.youtube.com/vi/049sSl4lEuk/hqdefault.jpg", "youtube_id": "049sSl4lEuk", "content_kind": "Video", "readable_id": "fra-filippo-lippi--madonna-and-child--c--1440"}, {"translated_youtube_id": "wf8L9AZa2H4", "relative_url": "/video/fra-fillippo-lippi--portrait-of-a-man-and-woman-at-a-casement--c--1440", "has_questions": false, "keywords": "art history, smarthistory, Lippi", "ka_url": "http://www.khanacademy.org/video/fra-fillippo-lippi--portrait-of-a-man-and-woman-at-a-casement--c--1440", "duration": 358, "translated_title": "Lippi, Portrait of a Man and Woman at a Casement", "translated_description_html": "Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html", "id": "671711110", "description_html": "Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html", "title": "Lippi, Portrait of a Man and Woman at a Casement", "progress_key": "v671711110", "edit_slug": "edit/v/671711110", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lippis-portrait-of-a-man-and-woman-at-a-casement"}, "node_slug": "v/fra-fillippo-lippi--portrait-of-a-man-and-woman-at-a-casement--c--1440", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:11:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wf8L9AZa2H4.mp4/wf8L9AZa2H4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wf8L9AZa2H4.mp4/wf8L9AZa2H4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wf8L9AZa2H4.m3u8/wf8L9AZa2H4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wf8L9AZa2H4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711110", "sha": "e1b4c4d8cb92192ab9fea4620120bbafc8086aae", "translated_description": "Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html", "image_url": "https://img.youtube.com/vi/wf8L9AZa2H4/hqdefault.jpg", "youtube_id": "wf8L9AZa2H4", "content_kind": "Video", "readable_id": "fra-fillippo-lippi--portrait-of-a-man-and-woman-at-a-casement--c--1440"}, {"translated_youtube_id": "XIkryXkz8a4", "relative_url": "/video/piero-della-francesca--portraits-of-the-duke-and-duchess-of-urbino--1467-72", "has_questions": false, "keywords": "Piero, Portrait, GAP, Piero della Francesca, della Francesca, Duke, Duchess, Urbino, Federico da Montefeltro, Battista Sforza, 1467, 1472, tempera, panel, Uffizi, Florence, Sforza, da Montefeltro, Google Art Project, Khan Academy, Smarthistory, OER, art history, renaissance, italian renaissance, painting, nobility", "ka_url": "http://www.khanacademy.org/video/piero-della-francesca--portraits-of-the-duke-and-duchess-of-urbino--1467-72", "duration": 238, "translated_title": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino", "translated_description_html": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)", "id": "719474981", "description_html": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)", "title": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino", "progress_key": "v719474981", "edit_slug": "edit/v/719474981", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/piero-della-francesca-portraits-of-the-duke-and-duchess-of-urbino"}, "node_slug": "v/piero-della-francesca--portraits-of-the-duke-and-duchess-of-urbino--1467-72", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-04-13T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XIkryXkz8a4.mp4/XIkryXkz8a4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XIkryXkz8a4.mp4/XIkryXkz8a4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XIkryXkz8a4.m3u8/XIkryXkz8a4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XIkryXkz8a4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474981", "sha": "7f38670bf9a12de44db02d8b033c67ebaf530571", "translated_description": "Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)", "image_url": "https://img.youtube.com/vi/XIkryXkz8a4/hqdefault.jpg", "youtube_id": "XIkryXkz8a4", "content_kind": "Video", "readable_id": "piero-della-francesca--portraits-of-the-duke-and-duchess-of-urbino--1467-72"}, {"translated_youtube_id": "qv2K1yk0LCE", "relative_url": "/video/piero-della-francesca--the-baptism-of-christ--1450s", "has_questions": false, "keywords": "national gallery, london", "ka_url": "http://www.khanacademy.org/video/piero-della-francesca--the-baptism-of-christ--1450s", "duration": 227, "translated_title": "Piero della Francesca, The Baptism of Christ", "translated_description_html": "Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671711115", "description_html": "Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Piero della Francesca, The Baptism of Christ", "progress_key": "v671711115", "edit_slug": "edit/v/671711115", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/piero-della-francescas-the-baptism-of-christ"}, "node_slug": "v/piero-della-francesca--the-baptism-of-christ--1450s", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:11:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qv2K1yk0LCE.mp4/qv2K1yk0LCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qv2K1yk0LCE.mp4/qv2K1yk0LCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qv2K1yk0LCE.m3u8/qv2K1yk0LCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qv2K1yk0LCE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711115", "sha": "d94dc75e4a20cc5121b42bedb012884e8ce9c9d3", "translated_description": "Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/qv2K1yk0LCE/hqdefault.jpg", "youtube_id": "qv2K1yk0LCE", "content_kind": "Video", "readable_id": "piero-della-francesca--the-baptism-of-christ--1450s"}, {"translated_youtube_id": "-yfjQGg-aMA", "relative_url": "/video/veneziano--saint-lucy-altarpiece--1445-47", "has_questions": false, "keywords": "art history, Sacra Conversazione, smarthistory, Uffizi, Art History Gabriele Veneziano", "ka_url": "http://www.khanacademy.org/video/veneziano--saint-lucy-altarpiece--1445-47", "duration": 200, "translated_title": "Veneziano, St. Lucy Altarpiece", "translated_description_html": "Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, fresco transfered to canvas, 82 1/4 x 85\" or 209 x 216 cm (Galleria degli Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671397706", "description_html": "Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, fresco transfered to canvas, 82 1/4 x 85\" or 209 x 216 cm (Galleria degli Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Veneziano, St. Lucy Altarpiece", "progress_key": "v671397706", "edit_slug": "edit/v/671397706", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, fresco transfered to canvas, 82 1/4 x 85\" or 209 x 216 cm (Galleria degli Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/venezianos-st.-lucy-altarpiece"}, "node_slug": "v/veneziano--saint-lucy-altarpiece--1445-47", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:11:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-yfjQGg-aMA.mp4/-yfjQGg-aMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-yfjQGg-aMA.mp4/-yfjQGg-aMA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-yfjQGg-aMA.m3u8/-yfjQGg-aMA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-yfjQGg-aMA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397706", "sha": "a6058c77801c16d8d08dc37eba5b496834851efa", "translated_description": "Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, fresco transfered to canvas, 82 1/4 x 85\" or 209 x 216 cm (Galleria degli Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/-yfjQGg-aMA/hqdefault.jpg", "youtube_id": "-yfjQGg-aMA", "content_kind": "Video", "readable_id": "veneziano--saint-lucy-altarpiece--1445-47"}, {"translated_youtube_id": "qwZn852brII", "relative_url": "/video/botticelli--la-primavera--spring---1481-1482", "has_questions": false, "keywords": "Botticelli Primavera Uffizi, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/botticelli--la-primavera--spring---1481-1482", "duration": 287, "translated_title": "Botticelli, Primavera", "translated_description_html": "Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2\" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html", "id": "671397708", "description_html": "Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2\" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html", "title": "Botticelli, Primavera", "progress_key": "v671397708", "edit_slug": "edit/v/671397708", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2\" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/botticelli-primavera"}, "node_slug": "v/botticelli--la-primavera--spring---1481-1482", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:11:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qwZn852brII.mp4/qwZn852brII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qwZn852brII.mp4/qwZn852brII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qwZn852brII.m3u8/qwZn852brII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qwZn852brII&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397708", "sha": "c330917bc86f13da518fa4a829c8d1833db21891", "translated_description": "Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2\" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html", "image_url": "https://img.youtube.com/vi/qwZn852brII/hqdefault.jpg", "youtube_id": "qwZn852brII", "content_kind": "Video", "readable_id": "botticelli--la-primavera--spring---1481-1482"}, {"translated_youtube_id": "tdp22elrY7s", "relative_url": "/video/botticelli--the-birth-of-venus--1483-85", "has_questions": false, "keywords": "Botticelli, Venus, Birth of Venus, Smarthistory, Khan Academy, Uffizi, Florence, Renaissance", "ka_url": "http://www.khanacademy.org/video/botticelli--the-birth-of-venus--1483-85", "duration": 240, "translated_title": "Botticelli, Birth of Venus", "translated_description_html": "Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8\" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "816126260", "description_html": "Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8\" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Botticelli, Birth of Venus", "progress_key": "v816126260", "edit_slug": "edit/v/816126260", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8\" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Botticelli"}, "node_slug": "v/botticelli--the-birth-of-venus--1483-85", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-01T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tdp22elrY7s.mp4/tdp22elrY7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tdp22elrY7s.mp4/tdp22elrY7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tdp22elrY7s.m3u8/tdp22elrY7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tdp22elrY7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v816126260", "sha": "71826f40afd7faa31f4d43d4f1a7cc1d0c4694b4", "translated_description": "Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8\" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/tdp22elrY7s/hqdefault.jpg", "youtube_id": "tdp22elrY7s", "content_kind": "Video", "readable_id": "botticelli--the-birth-of-venus--1483-85"}, {"translated_youtube_id": "5wptm7lPZyE", "relative_url": "/video/francesco-di-giorgio-martini--attributed---architectural-veduta--c--1490", "has_questions": false, "keywords": "Ideal City, ideal, renaissance, architecture, perspective, linear perspective, Francesco di Giorgio Martini, Architectural Veduta, Veduta, 1490, Gemäldegalerie, Berlin, Italian, Google Art Project, Art History Khan Academy, Smarthistory, OER, Public Space, Painting", "ka_url": "http://www.khanacademy.org/video/francesco-di-giorgio-martini--attributed---architectural-veduta--c--1490", "duration": 210, "translated_title": "Martini, Architectural Veduta", "translated_description_html": "Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708141470", "description_html": "Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Martini, Architectural Veduta", "progress_key": "v708141470", "edit_slug": "edit/v/708141470", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/martini-architectural-veduta"}, "node_slug": "v/francesco-di-giorgio-martini--attributed---architectural-veduta--c--1490", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-07T08:00:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5wptm7lPZyE.mp4/5wptm7lPZyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5wptm7lPZyE.mp4/5wptm7lPZyE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5wptm7lPZyE.m3u8/5wptm7lPZyE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5wptm7lPZyE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708141470", "sha": "0b0ef1440931837cf8eaf9205b8b5352eed6636d", "translated_description": "Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/5wptm7lPZyE/hqdefault.jpg", "youtube_id": "5wptm7lPZyE", "content_kind": "Video", "readable_id": "francesco-di-giorgio-martini--attributed---architectural-veduta--c--1490"}], "twitter_url": "", "translated_description": "Walking through the streets of Florence in the summer isn’t always easy, it’s jam packed with students and tourists who have come to study and admire the city’s treasures including Michelangelo’s David, Botticelli’s Birth of Venus, and the engineering brilliance of Brunelleschi. Florence in the 15th Century was fabulously wealthy thanks to its banking and manufacturing families. The Medici, the de-facto rulers of the city, were bankers who commissioned some of the most important art of the Renaissance. Florence was also a center of the Humanist revival that in many ways is what separates our Modern world from the Medieval era.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Walking through the streets of Florence in the summer isn’t always easy, it’s jam packed with students and tourists who have come to study and admire the city’s treasures including Michelangelo’s David, Botticelli’s Birth of Venus, and the engineering brilliance of Brunelleschi. Florence in the 15th Century was fabulously wealthy thanks to its banking and manufacturing families. The Medici, the de-facto rulers of the city, were bankers who commissioned some of the most important art of the Renaissance. Florence was also a center of the Humanist revival that in many ways is what separates our Modern world from the Medieval era.", "x_pos": 0.0, "node_slug": "florence-1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T18:05:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdfe3b313", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/florence-1", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/florence-1", "slug": "florence-1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d2a13d36250ce6ae217de0212c986c768b8e1fdc", "standalone_title": "Art History: Florence", "y_pos": 0.0, "current_revision_key": "d2a13d36250ce6ae217de0212c986c768b8e1fdc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/venice", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/venice", "translated_standalone_title": "Art History: Venice", "translated_title": "Venice", "gplus_url": "", "id": "x5b36944f", "old_key_name": "uRk4wQVClfZ_t9PwU--3BMZflHU9dfpHYPy1r3KD", "hide": false, "title": "Venice", "child_data": [{"kind": "Video", "id": "xaa9ddfd6"}, {"kind": "Video", "id": 841519696}, {"kind": "Video", "id": "xff5039fb"}, {"kind": "Video", "id": "x5c8c8962"}, {"kind": "Video", "id": "x18e4cee5"}, {"kind": "Video", "id": 669432580}, {"kind": "Video", "id": 671563214}, {"kind": "Video", "id": 671422831}, {"kind": "Video", "id": 671539947}, {"kind": "Exercise", "id": "xbfb417b9"}], "children": [{"translated_youtube_id": "lG6NWLxDbNo", "relative_url": "/video/oil-paint-in-venice", "has_questions": false, "keywords": "oil, paint, Venice, art, painting, Bellini", "ka_url": "http://www.khanacademy.org/video/oil-paint-in-venice", "duration": 242, "translated_title": "Oil paint in Venice", "translated_description_html": "

A review of fresco and tempera and the development of the use of oil paint by artists in Venice.<\/p>\n", "id": "xaa9ddfd6", "description_html": "

A review of fresco and tempera and the development of the use of oil paint by artists in Venice.<\/p>\n", "title": "Oil paint in Venice", "progress_key": "vxaa9ddfd6", "edit_slug": "edit/v/xaa9ddfd6", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "A review of fresco and tempera and the development of the use of oil paint by artists in Venice.\n", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy..org/oil-paint-in-venice.html"}, "node_slug": "v/oil-paint-in-venice", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2013-07-29T19:20:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.mp4/lG6NWLxDbNo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.mp4/lG6NWLxDbNo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lG6NWLxDbNo.m3u8/lG6NWLxDbNo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lG6NWLxDbNo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaa9ddfd6", "sha": "5a677ce2274179e508b5c1a8111b64e25c35909d", "translated_description": "A review of fresco and tempera and the development of the use of oil paint by artists in Venice.\n", "image_url": "https://img.youtube.com/vi/lG6NWLxDbNo/hqdefault.jpg", "youtube_id": "lG6NWLxDbNo", "content_kind": "Video", "readable_id": "oil-paint-in-venice"}, {"translated_youtube_id": "STs6h1qUSGs", "relative_url": "/video/giovanni-bellini--saint-francis-in-the-desert--circa-1480", "has_questions": false, "keywords": "Giovanni Bellini, Bellini, Saint Francis in the Desert, St. Francis, Ecstasy, Receiving the Stigmata, 1480, Frick Collection, Frick, Venice, Venetian, Renaissance, Landscape, Google Art Project, Smarthistory, Khan Academy, New York, painting, glazing, art, art history, OER", "ka_url": "http://www.khanacademy.org/video/giovanni-bellini--saint-francis-in-the-desert--circa-1480", "duration": 503, "translated_title": "Bellini, St. Francis", "translated_description_html": "Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/", "id": "841519696", "description_html": "Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/", "title": "Bellini, St. Francis", "progress_key": "v841519696", "edit_slug": "edit/v/841519696", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/1400-1500-venice"}, "node_slug": "v/giovanni-bellini--saint-francis-in-the-desert--circa-1480", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-13T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/STs6h1qUSGs.mp4/STs6h1qUSGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/STs6h1qUSGs.mp4/STs6h1qUSGs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/STs6h1qUSGs.m3u8/STs6h1qUSGs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=STs6h1qUSGs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v841519696", "sha": "9f4646fc90fe0b33f40107dd2420a400be780781", "translated_description": "Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/", "image_url": "https://img.youtube.com/vi/STs6h1qUSGs/hqdefault.jpg", "youtube_id": "STs6h1qUSGs", "content_kind": "Video", "readable_id": "giovanni-bellini--saint-francis-in-the-desert--circa-1480"}, {"translated_youtube_id": "PxCTyVQMVbs", "relative_url": "/video/bellini-san-giobbe-altarpiece", "has_questions": false, "keywords": "art history, venice, Bellini", "ka_url": "http://www.khanacademy.org/video/bellini-san-giobbe-altarpiece", "duration": 362, "translated_title": "Bellini, San Giobbe Altarpiece, c. 1485", "translated_description_html": "Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm × 258 cm / 185 in × 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "xff5039fb", "description_html": "Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm × 258 cm / 185 in × 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Bellini, San Giobbe Altarpiece, c. 1485", "progress_key": "vxff5039fb", "edit_slug": "edit/v/xff5039fb", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm × 258 cm / 185 in × 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/bellinis-san-giobbe-altarpiece.html"}, "node_slug": "v/bellini-san-giobbe-altarpiece", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-07T13:47:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PxCTyVQMVbs.mp4/PxCTyVQMVbs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PxCTyVQMVbs.mp4/PxCTyVQMVbs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PxCTyVQMVbs.m3u8/PxCTyVQMVbs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PxCTyVQMVbs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxff5039fb", "sha": "f4724925f24d13687929da881b2e2610fd397564", "translated_description": "Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm × 258 cm / 185 in × 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/PxCTyVQMVbs/hqdefault.jpg", "youtube_id": "PxCTyVQMVbs", "content_kind": "Video", "readable_id": "bellini-san-giobbe-altarpiece"}, {"translated_youtube_id": "NCu83PcEQ1U", "relative_url": "/video/giovanni-bellini--san-zaccaria-altarpiece--1505", "has_questions": false, "keywords": "Bellini, San Zaccaria Altarpiece, 1505, Venice, Renaissance, art, painting", "ka_url": "http://www.khanacademy.org/video/giovanni-bellini--san-zaccaria-altarpiece--1505", "duration": 332, "translated_title": "Giovanni Bellini, San Zaccaria Altarpiece, 1505", "translated_description_html": "Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x5c8c8962", "description_html": "Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Giovanni Bellini, San Zaccaria Altarpiece, 1505", "progress_key": "vx5c8c8962", "edit_slug": "edit/v/x5c8c8962", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/san-zaccaria-altarpiece.html"}, "node_slug": "v/giovanni-bellini--san-zaccaria-altarpiece--1505", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-05-08T03:35:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NCu83PcEQ1U.mp4/NCu83PcEQ1U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NCu83PcEQ1U.mp4/NCu83PcEQ1U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NCu83PcEQ1U.m3u8/NCu83PcEQ1U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NCu83PcEQ1U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5c8c8962", "sha": "3a250758741ad69817857b5007c08cd8fbb5732c", "translated_description": "Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/NCu83PcEQ1U/hqdefault.jpg", "youtube_id": "NCu83PcEQ1U", "content_kind": "Video", "readable_id": "giovanni-bellini--san-zaccaria-altarpiece--1505"}, {"translated_youtube_id": "rTey6h4BQhc", "relative_url": "/video/andrea-mantegna--san-zeno-altarpiece", "has_questions": false, "keywords": "Mantegna San Zeno", "ka_url": "http://www.khanacademy.org/video/andrea-mantegna--san-zeno-altarpiece", "duration": 336, "translated_title": "Andrea Mantegna, San Zeno Altarpiece, 1456-59", "translated_description_html": "", "id": "x18e4cee5", "description_html": "", "title": "Andrea Mantegna, San Zeno Altarpiece, 1456-59", "progress_key": "vx18e4cee5", "edit_slug": "edit/v/x18e4cee5", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": "smarthistory.khanacademy.org/san-zeno-altarpiece.html"}, "node_slug": "v/andrea-mantegna--san-zeno-altarpiece", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-12T05:32:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rTey6h4BQhc.mp4/rTey6h4BQhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rTey6h4BQhc.mp4/rTey6h4BQhc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rTey6h4BQhc.m3u8/rTey6h4BQhc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rTey6h4BQhc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx18e4cee5", "sha": "017eccc7e114239ada3ee79838baebf391d5c15a", "translated_description": "", "image_url": "https://img.youtube.com/vi/rTey6h4BQhc/hqdefault.jpg", "youtube_id": "rTey6h4BQhc", "content_kind": "Video", "readable_id": "andrea-mantegna--san-zeno-altarpiece"}, {"translated_youtube_id": "XGZvvQ8BmjY", "relative_url": "/video/mantegna--dead-christ--c--1490", "has_questions": false, "keywords": "Art History", "ka_url": "http://www.khanacademy.org/video/mantegna--dead-christ--c--1490", "duration": 282, "translated_title": "Mantegna, Dead Christ", "translated_description_html": "Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html", "id": "669432580", "description_html": "Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html", "title": "Mantegna, Dead Christ", "progress_key": "v669432580", "edit_slug": "edit/v/669432580", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/mantegna-dead-christ"}, "node_slug": "v/mantegna--dead-christ--c--1490", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XGZvvQ8BmjY.mp4/XGZvvQ8BmjY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XGZvvQ8BmjY.mp4/XGZvvQ8BmjY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XGZvvQ8BmjY.m3u8/XGZvvQ8BmjY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XGZvvQ8BmjY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432580", "sha": "15d84b797e21cce3e86181d5221ec5cc2526ab89", "translated_description": "Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html", "image_url": "https://img.youtube.com/vi/XGZvvQ8BmjY/hqdefault.jpg", "youtube_id": "XGZvvQ8BmjY", "content_kind": "Video", "readable_id": "mantegna--dead-christ--c--1490"}, {"translated_youtube_id": "y1_N1GAsS5I", "relative_url": "/video/andrea-mantegna--saint-sebastian--c--1456-59", "has_questions": false, "keywords": "Mantegna, Renaissance, St. Sebastian, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/andrea-mantegna--saint-sebastian--c--1456-59", "duration": 185, "translated_title": "Mantegna, Saint Sebastian", "translated_description_html": "Andrea Mantegna, Saint Sebastian, oil on wood panel, ca. 1456-59 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "id": "671563214", "description_html": "Andrea Mantegna, Saint Sebastian, oil on wood panel, ca. 1456-59 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "title": "Mantegna, Saint Sebastian", "progress_key": "v671563214", "edit_slug": "edit/v/671563214", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andrea Mantegna, Saint Sebastian, oil on wood panel, ca. 1456-59 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Mantegna-Saint-Sebastian"}, "node_slug": "v/andrea-mantegna--saint-sebastian--c--1456-59", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:11:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y1_N1GAsS5I.mp4/y1_N1GAsS5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y1_N1GAsS5I.mp4/y1_N1GAsS5I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y1_N1GAsS5I.m3u8/y1_N1GAsS5I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y1_N1GAsS5I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563214", "sha": "9a73b0ca48863dd5e95b4c282f1fd681a36781de", "translated_description": "Andrea Mantegna, Saint Sebastian, oil on wood panel, ca. 1456-59 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "image_url": "https://img.youtube.com/vi/y1_N1GAsS5I/hqdefault.jpg", "youtube_id": "y1_N1GAsS5I", "content_kind": "Video", "readable_id": "andrea-mantegna--saint-sebastian--c--1456-59"}, {"translated_youtube_id": "GN0P5RkQAow", "relative_url": "/video/andrea-mantegna--camera-degli-sposi--frescos-in-the-ducal-palace--mantua---1465-74", "has_questions": false, "keywords": "Renaissance, Mantua, Smarthistory, art, art history", "ka_url": "http://www.khanacademy.org/video/andrea-mantegna--camera-degli-sposi--frescos-in-the-ducal-palace--mantua---1465-74", "duration": 390, "translated_title": "Mantegna, Camera degli Sposi", "translated_description_html": "Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74 Speakers: Beth Harris and David Drogin", "id": "671422831", "description_html": "Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74 Speakers: Beth Harris and David Drogin", "title": "Mantegna, Camera degli Sposi", "progress_key": "v671422831", "edit_slug": "edit/v/671422831", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74 Speakers: Beth Harris and David Drogin", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/camera-degli-sposi"}, "node_slug": "v/andrea-mantegna--camera-degli-sposi--frescos-in-the-ducal-palace--mantua---1465-74", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:11:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GN0P5RkQAow.mp4/GN0P5RkQAow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GN0P5RkQAow.mp4/GN0P5RkQAow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GN0P5RkQAow.m3u8/GN0P5RkQAow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GN0P5RkQAow&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422831", "sha": "87453b2a218e4e70bb09b78a46d6de0e74009217", "translated_description": "Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74 Speakers: Beth Harris and David Drogin", "image_url": "https://img.youtube.com/vi/GN0P5RkQAow/hqdefault.jpg", "youtube_id": "GN0P5RkQAow", "content_kind": "Video", "readable_id": "andrea-mantegna--camera-degli-sposi--frescos-in-the-ducal-palace--mantua---1465-74"}, {"translated_youtube_id": "Du-0kAn4u6w", "relative_url": "/video/mantegna--dormition--or-death--of-the-virgin--c--1462", "has_questions": false, "keywords": "mantegna, prado, art history, history of art, smarthistory, renaissance", "ka_url": "http://www.khanacademy.org/video/mantegna--dormition--or-death--of-the-virgin--c--1462", "duration": 204, "translated_title": "Mantegna, Dormition of the Virgin", "translated_description_html": "Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 × 42 cm, 21.26 × 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671539947", "description_html": "Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 × 42 cm, 21.26 × 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Mantegna, Dormition of the Virgin", "progress_key": "v671539947", "edit_slug": "edit/v/671539947", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 × 42 cm, 21.26 × 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/andrea-mantegna-dormition-of-the-virgin"}, "node_slug": "v/mantegna--dormition--or-death--of-the-virgin--c--1462", "deleted": false, "backup_timestamp": "2013-09-21T10:38:50Z", "date_added": "2012-03-20T19:11:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Du-0kAn4u6w.mp4/Du-0kAn4u6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Du-0kAn4u6w.mp4/Du-0kAn4u6w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Du-0kAn4u6w.m3u8/Du-0kAn4u6w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Du-0kAn4u6w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539947", "sha": "c30edeb22a5c6e23be59563061384cfd2f6b0518", "translated_description": "Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 × 42 cm, 21.26 × 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Du-0kAn4u6w/hqdefault.jpg", "youtube_id": "Du-0kAn4u6w", "content_kind": "Video", "readable_id": "mantegna--dormition--or-death--of-the-virgin--c--1462"}], "twitter_url": "", "translated_description": "Renaissance Venice was a city of merchants that traded with the Byzantine and Islamic Empires to the East, with the Germanic nations North of the Alps, and with Kingdoms to the West. In the 15th Century, Venice was at the height of its power with colonies and a well equipped navy to protect its merchant fleet abroad. Its fabulous wealth financed the construction of sumptuous churches and palaces—and art to fill them. The city’s salty, humid air meant that frescos faded quickly and so in the late 15th century, artists adopted oil, a medium they had seen used on panels from the north. By the late 15th century, they had also adopted canvas as their support of choice and artists like Giovanni Bellini created some of the most subtle and engaging art ever made.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Renaissance Venice was a city of merchants that traded with the Byzantine and Islamic Empires to the East, with the Germanic nations North of the Alps, and with Kingdoms to the West. In the 15th Century, Venice was at the height of its power with colonies and a well equipped navy to protect its merchant fleet abroad. Its fabulous wealth financed the construction of sumptuous churches and palaces—and art to fill them. The city’s salty, humid air meant that frescos faded quickly and so in the late 15th century, artists adopted oil, a medium they had seen used on panels from the north. By the late 15th century, they had also adopted canvas as their support of choice and artists like Giovanni Bellini created some of the most subtle and engaging art ever made.", "x_pos": 0.0, "node_slug": "venice", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T05:37:18Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5b36944f", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/venice", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/venice", "slug": "venice", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0b1425e6c58b42acf6aaabdc67610ca8383248c7", "standalone_title": "Art History: Venice", "y_pos": 0.0, "current_revision_key": "0b1425e6c58b42acf6aaabdc67610ca8383248c7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/tyrol", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/tyrol", "translated_standalone_title": "Art History: Tyrol", "translated_title": "Tyrol", "gplus_url": "", "id": "xa0c41a49", "old_key_name": "vyjsYU-5L747RPSXOUbNG0tgATls3CobJOf6yiue", "hide": false, "title": "Tyrol", "child_data": [{"kind": "Video", "id": 1258345468}], "children": [{"translated_youtube_id": "KdDIIYqXmjw", "relative_url": "/video/pacher--st--wolfgang-altarpiece--c--1479-8", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pacher--st--wolfgang-altarpiece--c--1479-8", "duration": 375, "translated_title": "Pacher, St. Wolfgang Altarpiece", "translated_description_html": "Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/", "id": "1258345468", "description_html": "Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/", "title": "Pacher, St. Wolfgang Altarpiece", "progress_key": "v1258345468", "edit_slug": "edit/v/1258345468", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece"}, "node_slug": "v/pacher--st--wolfgang-altarpiece--c--1479-8", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-12-31T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KdDIIYqXmjw.mp4/KdDIIYqXmjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KdDIIYqXmjw.mp4/KdDIIYqXmjw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KdDIIYqXmjw.m3u8/KdDIIYqXmjw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KdDIIYqXmjw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1258345468", "sha": "6af0baac412067f86752a90ae9fa561e4548ceb1", "translated_description": "Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/", "image_url": "https://img.youtube.com/vi/KdDIIYqXmjw/hqdefault.jpg", "youtube_id": "KdDIIYqXmjw", "content_kind": "Video", "readable_id": "pacher--st--wolfgang-altarpiece--c--1479-8"}], "twitter_url": "", "translated_description": "Currently this tutorial contains the work of only one artist, Michael Pacher. It would have been so much easier if we could have included him in Venice, since Pacher was influenced by the work of the great Venetian painter Mantegna. But Pacher spoke German, and the specific area he was from (today in the north-east of Italy), was known as Tyrol (though there is a state of Tyrol today in Austria). Confusing, we know. In this tutorial, we take a look at Pacher’s amazing St. Wolfgang Altarpiece which is still in the church it was made for—a church on a lake surrounded by mountains in Austria, still visited by religious pilgrims. Most altarpieces in the Renaissance were made of many interconnected panels that were later sold and ended up in different collections, and this means that to see one altarpiece you usually have to travel to many museums. But this is not true of the St. Wolfgang altarpiece. Seeing a Renaissance work of art in the space it was made for helps us to travel back in time to the late 15th Century.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Currently this tutorial contains the work of only one artist, Michael Pacher. It would have been so much easier if we could have included him in Venice, since Pacher was influenced by the work of the great Venetian painter Mantegna. But Pacher spoke German, and the specific area he was from (today in the north-east of Italy), was known as Tyrol (though there is a state of Tyrol today in Austria). Confusing, we know. In this tutorial, we take a look at Pacher’s amazing St. Wolfgang Altarpiece which is still in the church it was made for—a church on a lake surrounded by mountains in Austria, still visited by religious pilgrims. Most altarpieces in the Renaissance were made of many interconnected panels that were later sold and ended up in different collections, and this means that to see one altarpiece you usually have to travel to many museums. But this is not true of the St. Wolfgang altarpiece. Seeing a Renaissance work of art in the space it was made for helps us to travel back in time to the late 15th Century.", "x_pos": 0.0, "node_slug": "tyrol", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa0c41a49", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/tyrol", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/tyrol", "slug": "tyrol", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d90057d7c425ac5afe9eb4bcda8bd356c043c2f6", "standalone_title": "Art History: Tyrol", "y_pos": 0.0, "current_revision_key": "d90057d7c425ac5afe9eb4bcda8bd356c043c2f6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/england", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/england", "translated_standalone_title": "New Topic", "translated_title": "England", "gplus_url": "", "id": "xcb8e1975", "old_key_name": null, "hide": false, "title": "England", "child_data": [{"kind": "Video", "id": "xb926d183"}, {"kind": "Video", "id": "x14c3bd4b"}], "children": [{"translated_youtube_id": "Z2Zmmx0u-gE", "relative_url": "/video/wilton-diptych", "has_questions": false, "keywords": "Wilton, Richard II, King, England, English, painting, art, history", "ka_url": "http://www.khanacademy.org/video/wilton-diptych", "duration": 388, "translated_title": "Wilton Diptych", "translated_description_html": "", "id": "xb926d183", "description_html": "", "title": "Wilton Diptych", "progress_key": "vxb926d183", "edit_slug": "edit/v/xb926d183", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-wilton-diptych.html"}, "node_slug": "v/wilton-diptych", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-09-02T03:47:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z2Zmmx0u-gE.mp4/Z2Zmmx0u-gE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z2Zmmx0u-gE.mp4/Z2Zmmx0u-gE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z2Zmmx0u-gE.m3u8/Z2Zmmx0u-gE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z2Zmmx0u-gE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb926d183", "sha": "aa2f5e84b9a64f0c701108b7b770154b2a1afeac", "translated_description": "", "image_url": "https://img.youtube.com/vi/Z2Zmmx0u-gE/hqdefault.jpg", "youtube_id": "Z2Zmmx0u-gE", "content_kind": "Video", "readable_id": "wilton-diptych"}, {"translated_youtube_id": "katx69CGBwo", "relative_url": "/video/the-harrowing-of-hell--c--1440-70", "has_questions": false, "keywords": "art history,", "ka_url": "http://www.khanacademy.org/video/the-harrowing-of-hell--c--1440-70", "duration": 319, "translated_title": "The Harrowing of Hell, c. 1440-70", "translated_description_html": "The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski", "id": "x14c3bd4b", "description_html": "The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski", "title": "The Harrowing of Hell, c. 1440-70", "progress_key": "vx14c3bd4b", "edit_slug": "edit/v/x14c3bd4b", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski", "extra_properties": {"original_url": "http://www.smarthistory.khanacademy.org/the-harrowing-of-hell.html"}, "node_slug": "v/the-harrowing-of-hell--c--1440-70", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-13T21:35:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/katx69CGBwo.mp4/katx69CGBwo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/katx69CGBwo.mp4/katx69CGBwo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/katx69CGBwo.m3u8/katx69CGBwo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=katx69CGBwo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx14c3bd4b", "sha": "54f4c2e7102c0334a21632bcd9460f34ab32b994", "translated_description": "The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski", "image_url": "https://img.youtube.com/vi/katx69CGBwo/hqdefault.jpg", "youtube_id": "katx69CGBwo", "content_kind": "Video", "readable_id": "the-harrowing-of-hell--c--1440-70"}], "twitter_url": "", "translated_description": "The International Gothic Style persists into the 15th Century in many courts in Europe including England.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The International Gothic Style persists into the 15th Century in many courts in Europe including England.", "x_pos": 0.0, "node_slug": "england", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-02T03:49:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axcb8e1975", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/england", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/england", "slug": "england", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "87be9b823ac54387dd99b8fd0a17ac9514ec1347", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "87be9b823ac54387dd99b8fd0a17ac9514ec1347", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/1400s-quiz", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/1400s-quiz", "translated_standalone_title": "1400s Quiz", "translated_title": "1400s quiz", "gplus_url": "", "id": "xea0ccf23", "old_key_name": null, "hide": false, "title": "1400s quiz", "child_data": [{"kind": "Exercise", "id": "x6c3be40c"}], "children": [], "twitter_url": "", "translated_description": "This quiz features is a painting that does not appear in any tutorial in this section, though it does date to this century (1400-1500). It is an “unknown” for you to test your skill and knowledge about Renaissance art. Some of the questions may require knowledge beyond the videos in this set of tutorials.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This quiz features is a painting that does not appear in any tutorial in this section, though it does date to this century (1400-1500). It is an “unknown” for you to test your skill and knowledge about Renaissance art. Some of the questions may require knowledge beyond the videos in this set of tutorials.", "x_pos": 0.0, "node_slug": "1400s-quiz", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axea0ccf23", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/1400s-quiz", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/1400s-quiz", "slug": "1400s-quiz", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8c4bafa08cc19db3e152639fbaded72277e0a93b", "standalone_title": "1400s Quiz", "y_pos": 0.0, "current_revision_key": "8c4bafa08cc19db3e152639fbaded72277e0a93b", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "This is the century that sees the full realization of the Renaissance and the end of the medieval way of thinking about the world. The Humanist rediscovery of ancient Greek and Roman culture is supported by the wealth accumulated in prosperous cities such as Bruges, Florence, and Venice. New wealth and increasing trade created a demand for an art based on the world we see. The second half of the century saw the invention of the printing press, and Columbus’s voyage. And though he was heading for the East, Columbus landed in the Americas, and suddenly there were vast new continents for Europe to exploit economically and to Christianize. The century begins with the magnificent sculptures of Claus Sluter and ends with the elegant figures of Leonardo da Vinci.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This is the century that sees the full realization of the Renaissance and the end of the medieval way of thinking about the world. The Humanist rediscovery of ancient Greek and Roman culture is supported by the wealth accumulated in prosperous cities such as Bruges, Florence, and Venice. New wealth and increasing trade created a demand for an art based on the world we see. The second half of the century saw the invention of the printing press, and Columbus’s voyage. And though he was heading for the East, Columbus landed in the Americas, and suddenly there were vast new continents for Europe to exploit economically and to Christianize. The century begins with the magnificent sculptures of Claus Sluter and ends with the elegant figures of Leonardo da Vinci.", "x_pos": 0.0, "node_slug": "art-history-1400-1500-renaissance-in-italy-and-the-north", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-12T01:38:39Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb9f22b32", "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", "slug": "art-history-1400-1500-renaissance-in-italy-and-the-north", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7c7a7eb210cc99724057fbb4f67154b09f64a631", "standalone_title": "Art History: 1400-1500 Renaissance in Italy and the North", "y_pos": 0.0, "current_revision_key": "7c7a7eb210cc99724057fbb4f67154b09f64a631", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "translated_standalone_title": "Art History: 1500-1600 End of the Renaissance and the Reformation", "translated_title": "1500-1600 end of the Renaissance and the Reformation", "gplus_url": "", "id": "xf1cfbea9", "old_key_name": "ar9BoUDm3CJuaZPaf2DBK6Mcr6GCORHDYkK9QA1T", "hide": false, "title": "1500-1600 end of the Renaissance and the Reformation", "child_data": [{"kind": "Topic", "id": "x9a536edf"}, {"kind": "Topic", "id": "x50aa4fc3"}, {"kind": "Topic", "id": "xd738e804"}, {"kind": "Topic", "id": "x21135686"}, {"kind": "Topic", "id": "x48537859"}, {"kind": "Topic", "id": "x4055194c"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/high-renaissance", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/high-renaissance", "translated_standalone_title": "Art History: High Renaissance", "translated_title": "High Renaissance: Florence and Rome", "gplus_url": "", "id": "x9a536edf", "old_key_name": "SdRl_p_yWPcPTGleO0R2NItdwX_ZqWZdAKrvQpwC", "hide": false, "title": "High Renaissance: Florence and Rome", "child_data": [{"kind": "Video", "id": 671622659}, {"kind": "Video", "id": 989036567}, {"kind": "Video", "id": 671536486}, {"kind": "Video", "id": 686594267}, {"kind": "Video", "id": 671610551}, {"kind": "Video", "id": 671691297}, {"kind": "Video", "id": 1229076967}, {"kind": "Video", "id": 671459940}, {"kind": "Video", "id": 873097408}, {"kind": "Video", "id": 671610552}, {"kind": "Video", "id": 671632339}, {"kind": "Video", "id": 671691295}, {"kind": "Video", "id": 671536493}, {"kind": "Video", "id": 671702329}, {"kind": "Video", "id": "xe3596d97"}, {"kind": "Video", "id": 671260996}, {"kind": "Video", "id": 671539959}, {"kind": "Video", "id": 671610553}, {"kind": "Video", "id": 671622660}, {"kind": "Video", "id": 671536492}, {"kind": "Video", "id": 988781648}, {"kind": "Video", "id": 916484864}, {"kind": "Video", "id": 671632340}, {"kind": "Exercise", "id": "xc04a7ae2"}], "children": [{"translated_youtube_id": "3YMEIjHl9og", "relative_url": "/video/verrocchio--with-leonardo---baptism-of-christ--1470-75", "has_questions": false, "keywords": "Verrocchio, Leonardo, Florence", "ka_url": "http://www.khanacademy.org/video/verrocchio--with-leonardo---baptism-of-christ--1470-75", "duration": 261, "translated_title": "Toward the high Renaissance", "translated_description_html": "Verrocchio (with Leonardo), Baptism of Christ, 1470-75\n\nSpeakers:", "id": "671622659", "description_html": "Verrocchio (with Leonardo), Baptism of Christ, 1470-75\n\nSpeakers:", "title": "Toward the high Renaissance", "progress_key": "v671622659", "edit_slug": "edit/v/671622659", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Verrocchio (with Leonardo), Baptism of Christ, 1470-75\n\nSpeakers:", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/High-Renaissance"}, "node_slug": "v/verrocchio--with-leonardo---baptism-of-christ--1470-75", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3YMEIjHl9og.mp4/3YMEIjHl9og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3YMEIjHl9og.mp4/3YMEIjHl9og.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3YMEIjHl9og.m3u8/3YMEIjHl9og.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3YMEIjHl9og&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622659", "sha": "98df296ce31a22dd49d59ab38d372814f3cec696", "translated_description": "Verrocchio (with Leonardo), Baptism of Christ, 1470-75\n\nSpeakers:", "image_url": "https://img.youtube.com/vi/3YMEIjHl9og/hqdefault.jpg", "youtube_id": "3YMEIjHl9og", "content_kind": "Video", "readable_id": "verrocchio--with-leonardo---baptism-of-christ--1470-75"}, {"translated_youtube_id": "URcpchlTNBY", "relative_url": "/video/leonarda-da-vinci-s-letter-to-the-duke-of-milan", "has_questions": false, "keywords": "Leonardo, Smarthistory, Khan Academy, Milan, Renaissance", "ka_url": "http://www.khanacademy.org/video/leonarda-da-vinci-s-letter-to-the-duke-of-milan", "duration": 197, "translated_title": "Leonardo da Vinci, Letter to the Duke of Milan", "translated_description_html": "Leonarda da Vinci's Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html", "id": "989036567", "description_html": "Leonarda da Vinci's Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html", "title": "Leonardo da Vinci, Letter to the Duke of Milan", "progress_key": "v989036567", "edit_slug": "edit/v/989036567", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Leonarda da Vinci's Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/leonardo-notebooks"}, "node_slug": "v/leonarda-da-vinci-s-letter-to-the-duke-of-milan", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-22T20:37:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/URcpchlTNBY.mp4/URcpchlTNBY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/URcpchlTNBY.mp4/URcpchlTNBY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/URcpchlTNBY.m3u8/URcpchlTNBY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=URcpchlTNBY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v989036567", "sha": "8c9865f3d6e01d6eec8756e35e3c312ab290fb7a", "translated_description": "Leonarda da Vinci's Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html", "image_url": "https://img.youtube.com/vi/URcpchlTNBY/hqdefault.jpg", "youtube_id": "URcpchlTNBY", "content_kind": "Video", "readable_id": "leonarda-da-vinci-s-letter-to-the-duke-of-milan"}, {"translated_youtube_id": "QxNqWZPzsGw", "relative_url": "/video/leonardo-da-vinci--adoration-of-the-magi--1481-mov", "has_questions": false, "keywords": "Leonardo, da Vinci, Adoration of the Magi, 1481, oil on panel, Galleria degli Uffizi, Florence, Uffizi, High Renaissance, unfinished, under painting", "ka_url": "http://www.khanacademy.org/video/leonardo-da-vinci--adoration-of-the-magi--1481-mov", "duration": 276, "translated_title": "Leonardo, Adoration of the Magi", "translated_description_html": "Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html", "id": "671536486", "description_html": "Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html", "title": "Leonardo, Adoration of the Magi", "progress_key": "v671536486", "edit_slug": "edit/v/671536486", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi"}, "node_slug": "v/leonardo-da-vinci--adoration-of-the-magi--1481-mov", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QxNqWZPzsGw.mp4/QxNqWZPzsGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QxNqWZPzsGw.mp4/QxNqWZPzsGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QxNqWZPzsGw.m3u8/QxNqWZPzsGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QxNqWZPzsGw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536486", "sha": "0fff63ec8e8d8169c350440d0ff1f7198b85a345", "translated_description": "Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html", "image_url": "https://img.youtube.com/vi/QxNqWZPzsGw/hqdefault.jpg", "youtube_id": "QxNqWZPzsGw", "content_kind": "Video", "readable_id": "leonardo-da-vinci--adoration-of-the-magi--1481-mov"}, {"translated_youtube_id": "94xKRkCHlv0", "relative_url": "/video/leonardo-da-vinci--the-virgin-of-the-rocks--c--1491-1508", "has_questions": false, "keywords": "Leonardo, London, National Gallery, Virgin of the Rocks, Renaissance, Leonardo da Vinci, Smarthistory, Art History, History of Art, High Renaissance", "ka_url": "http://www.khanacademy.org/video/leonardo-da-vinci--the-virgin-of-the-rocks--c--1491-1508", "duration": 338, "translated_title": "Leonardo, Virgin of the Rocks", "translated_description_html": "Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)", "id": "686594267", "description_html": "Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)", "title": "Leonardo, Virgin of the Rocks", "progress_key": "v686594267", "edit_slug": "edit/v/686594267", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/leonardo-virgin-of-the-rocks"}, "node_slug": "v/leonardo-da-vinci--the-virgin-of-the-rocks--c--1491-1508", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-27T08:00:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/94xKRkCHlv0.mp4/94xKRkCHlv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/94xKRkCHlv0.mp4/94xKRkCHlv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/94xKRkCHlv0.m3u8/94xKRkCHlv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=94xKRkCHlv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v686594267", "sha": "208ce852f4dd47b09894130a042b195b289ae91e", "translated_description": "Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)", "image_url": "https://img.youtube.com/vi/94xKRkCHlv0/hqdefault.jpg", "youtube_id": "94xKRkCHlv0", "content_kind": "Video", "readable_id": "leonardo-da-vinci--the-virgin-of-the-rocks--c--1491-1508"}, {"translated_youtube_id": "iV6_wTrkd70", "relative_url": "/video/leonardo-da-vinci--last-supper--1495-98", "has_questions": false, "keywords": "Leonardo, Last Supper Smarthistory, Art History, Milan", "ka_url": "http://www.khanacademy.org/video/leonardo-da-vinci--last-supper--1495-98", "duration": 460, "translated_title": "Leonardo, Last Supper", "translated_description_html": "Leonardo da Vinci, Last Supper, oil, tempera, fresco, 1495-98 (Santa Maria delle Grazie, Milan)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html", "id": "671610551", "description_html": "Leonardo da Vinci, Last Supper, oil, tempera, fresco, 1495-98 (Santa Maria delle Grazie, Milan)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html", "title": "Leonardo, Last Supper", "progress_key": "v671610551", "edit_slug": "edit/v/671610551", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Leonardo da Vinci, Last Supper, oil, tempera, fresco, 1495-98 (Santa Maria delle Grazie, Milan)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/leonardo-last-supper"}, "node_slug": "v/leonardo-da-vinci--last-supper--1495-98", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iV6_wTrkd70.mp4/iV6_wTrkd70.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iV6_wTrkd70.mp4/iV6_wTrkd70.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iV6_wTrkd70.m3u8/iV6_wTrkd70.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iV6_wTrkd70&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610551", "sha": "5644f2b84c28b521992bb2b9d163f09ab9a79153", "translated_description": "Leonardo da Vinci, Last Supper, oil, tempera, fresco, 1495-98 (Santa Maria delle Grazie, Milan)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html", "image_url": "https://img.youtube.com/vi/iV6_wTrkd70/hqdefault.jpg", "youtube_id": "iV6_wTrkd70", "content_kind": "Video", "readable_id": "leonardo-da-vinci--last-supper--1495-98"}, {"translated_youtube_id": "L4F2lgyi7FA", "relative_url": "/video/leonardo--the-virgin-and-child-with-st-anne-and-st-john-the-baptist--1499-1500", "has_questions": false, "keywords": "Art, Art History, Leonardo, London, National Gallery, Virgin and Child, Smarthistory", "ka_url": "http://www.khanacademy.org/video/leonardo--the-virgin-and-child-with-st-anne-and-st-john-the-baptist--1499-1500", "duration": 244, "translated_title": "Leonardo, Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon)", "translated_description_html": "Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 × 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html", "id": "671691297", "description_html": "Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 × 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html", "title": "Leonardo, Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon)", "progress_key": "v671691297", "edit_slug": "edit/v/671691297", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 × 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist"}, "node_slug": "v/leonardo--the-virgin-and-child-with-st-anne-and-st-john-the-baptist--1499-1500", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L4F2lgyi7FA.mp4/L4F2lgyi7FA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L4F2lgyi7FA.mp4/L4F2lgyi7FA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L4F2lgyi7FA.m3u8/L4F2lgyi7FA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L4F2lgyi7FA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671691297", "sha": "34b88813dd2a84f47154cfa59c6005c233ae0253", "translated_description": "Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 × 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html", "image_url": "https://img.youtube.com/vi/L4F2lgyi7FA/hqdefault.jpg", "youtube_id": "L4F2lgyi7FA", "content_kind": "Video", "readable_id": "leonardo--the-virgin-and-child-with-st-anne-and-st-john-the-baptist--1499-1500"}, {"translated_youtube_id": "3kQ_p2EZX4Q", "relative_url": "/video/celebrity---art--leonardo-s--mona-lisa", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/celebrity---art--leonardo-s--mona-lisa", "duration": 519, "translated_title": "Leonardo, Mona Lisa", "translated_description_html": "Salman Khan and Beth Harris discuss Leonardo da Vinci's painting, \"Mona Lisa,\" as a symbol of Western culture and as a renaissance portrait.", "id": "1229076967", "description_html": "Salman Khan and Beth Harris discuss Leonardo da Vinci's painting, \"Mona Lisa,\" as a symbol of Western culture and as a renaissance portrait.", "title": "Leonardo, Mona Lisa", "progress_key": "v1229076967", "edit_slug": "edit/v/1229076967", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan and Beth Harris discuss Leonardo da Vinci's painting, \"Mona Lisa,\" as a symbol of Western culture and as a renaissance portrait.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/leonardo-mona-lisa.html"}, "node_slug": "v/celebrity---art--leonardo-s--mona-lisa", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-15T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3kQ_p2EZX4Q.mp4/3kQ_p2EZX4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3kQ_p2EZX4Q.mp4/3kQ_p2EZX4Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3kQ_p2EZX4Q.m3u8/3kQ_p2EZX4Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3kQ_p2EZX4Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1229076967", "sha": "f1ebb9168fe0ea770964ad608278d82afba73fc4", "translated_description": "Salman Khan and Beth Harris discuss Leonardo da Vinci's painting, \"Mona Lisa,\" as a symbol of Western culture and as a renaissance portrait.", "image_url": "https://img.youtube.com/vi/3kQ_p2EZX4Q/hqdefault.jpg", "youtube_id": "3kQ_p2EZX4Q", "content_kind": "Video", "readable_id": "celebrity---art--leonardo-s--mona-lisa"}, {"translated_youtube_id": "JbWGusfynCw", "relative_url": "/video/michelangelo--piet---1498-1500", "has_questions": false, "keywords": "art, arthistory, smarthistory, rome, michelangelo, pieta, vatican, St. Peters Basilica", "ka_url": "http://www.khanacademy.org/video/michelangelo--piet---1498-1500", "duration": 219, "translated_title": "Michelangelo, Pietà", "translated_description_html": "Michelangelo, Pietà, marble, 1498-1500 (Saint Peter's Basilica, Rome)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671459940", "description_html": "Michelangelo, Pietà, marble, 1498-1500 (Saint Peter's Basilica, Rome)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Michelangelo, Pietà", "progress_key": "v671459940", "edit_slug": "edit/v/671459940", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Michelangelo, Pietà, marble, 1498-1500 (Saint Peter's Basilica, Rome)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/michelangelo-pieta"}, "node_slug": "v/michelangelo--piet---1498-1500", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JbWGusfynCw.mp4/JbWGusfynCw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JbWGusfynCw.mp4/JbWGusfynCw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JbWGusfynCw.m3u8/JbWGusfynCw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JbWGusfynCw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459940", "sha": "00dc50ea6494e57aed7543c5ce3665bfc8eb0b7b", "translated_description": "Michelangelo, Pietà, marble, 1498-1500 (Saint Peter's Basilica, Rome)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/JbWGusfynCw/hqdefault.jpg", "youtube_id": "JbWGusfynCw", "content_kind": "Video", "readable_id": "michelangelo--piet---1498-1500"}, {"translated_youtube_id": "-oXAekrYytA", "relative_url": "/video/michelangelo--david--marble--1501-04--galleria-dell-accademia--florence", "has_questions": false, "keywords": "Michelangelo, David, art history, khan academy, renaissance, high renaissance, florence, accademia, Palazzo Vecchio", "ka_url": "http://www.khanacademy.org/video/michelangelo--david--marble--1501-04--galleria-dell-accademia--florence", "duration": 341, "translated_title": "Michelangelo, David", "translated_description_html": "Michelangelo, David, marble, 1501-04 (Galleria dell'Accademia, Florence) \n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "id": "873097408", "description_html": "Michelangelo, David, marble, 1501-04 (Galleria dell'Accademia, Florence) \n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "title": "Michelangelo, David", "progress_key": "v873097408", "edit_slug": "edit/v/873097408", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Michelangelo, David, marble, 1501-04 (Galleria dell'Accademia, Florence) \n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Michelangelo-David"}, "node_slug": "v/michelangelo--david--marble--1501-04--galleria-dell-accademia--florence", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-26T08:01:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-oXAekrYytA.mp4/-oXAekrYytA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-oXAekrYytA.mp4/-oXAekrYytA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-oXAekrYytA.m3u8/-oXAekrYytA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-oXAekrYytA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v873097408", "sha": "fc42c45ebeb61bba1fad7c240510b4bf7980764c", "translated_description": "Michelangelo, David, marble, 1501-04 (Galleria dell'Accademia, Florence) \n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/-oXAekrYytA/hqdefault.jpg", "youtube_id": "-oXAekrYytA", "content_kind": "Video", "readable_id": "michelangelo--david--marble--1501-04--galleria-dell-accademia--florence"}, {"translated_youtube_id": "pnBbFIxCIGw", "relative_url": "/video/michelangelo--moses--ca--1513-15", "has_questions": false, "keywords": "Rome, San Pietro in Vincoli, marble, sculpture, Italian art, Renaissance", "ka_url": "http://www.khanacademy.org/video/michelangelo--moses--ca--1513-15", "duration": 252, "translated_title": "Michelangelo, Moses", "translated_description_html": "Michelangelo, Moses, marble, ca. 1513-15 (San Pietro in Vincoli, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671610552", "description_html": "Michelangelo, Moses, marble, ca. 1513-15 (San Pietro in Vincoli, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Michelangelo, Moses", "progress_key": "v671610552", "edit_slug": "edit/v/671610552", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michelangelo, Moses, marble, ca. 1513-15 (San Pietro in Vincoli, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/michelangelo-moses"}, "node_slug": "v/michelangelo--moses--ca--1513-15", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:12:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pnBbFIxCIGw.mp4/pnBbFIxCIGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pnBbFIxCIGw.mp4/pnBbFIxCIGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pnBbFIxCIGw.m3u8/pnBbFIxCIGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pnBbFIxCIGw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610552", "sha": "1d9bf31ffd46b7b372eb9fe8faa19e94494b890f", "translated_description": "Michelangelo, Moses, marble, ca. 1513-15 (San Pietro in Vincoli, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pnBbFIxCIGw/hqdefault.jpg", "youtube_id": "pnBbFIxCIGw", "content_kind": "Video", "readable_id": "michelangelo--moses--ca--1513-15"}, {"translated_youtube_id": "h44bnIGogu8", "relative_url": "/video/michelangelo--the-dying-slave-and-the-rebellious-slave--1513-15", "has_questions": false, "keywords": "Michelangelo, Slaves, Pope Julius II, Art History, Smarthistory, Louvre", "ka_url": "http://www.khanacademy.org/video/michelangelo--the-dying-slave-and-the-rebellious-slave--1513-15", "duration": 197, "translated_title": "Michelangelo, Slaves", "translated_description_html": "Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.", "id": "671632339", "description_html": "Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.", "title": "Michelangelo, Slaves", "progress_key": "v671632339", "edit_slug": "edit/v/671632339", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/michelangelos-slaves.html"}, "node_slug": "v/michelangelo--the-dying-slave-and-the-rebellious-slave--1513-15", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h44bnIGogu8.mp4/h44bnIGogu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h44bnIGogu8.mp4/h44bnIGogu8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h44bnIGogu8.m3u8/h44bnIGogu8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h44bnIGogu8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632339", "sha": "9c877aa1edd0fe436b86ff36e6e5a3fb6c1b738e", "translated_description": "Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.", "image_url": "https://img.youtube.com/vi/h44bnIGogu8/hqdefault.jpg", "youtube_id": "h44bnIGogu8", "content_kind": "Video", "readable_id": "michelangelo--the-dying-slave-and-the-rebellious-slave--1513-15"}, {"translated_youtube_id": "PEE3B8Fsuc0", "relative_url": "/video/michelangelo--ceiling-of-the-sistine-chapel--1508-12", "has_questions": false, "keywords": "Michelangelo, Rome, Vatican Sistine Chapel, Creation of Adam, Second Life", "ka_url": "http://www.khanacademy.org/video/michelangelo--ceiling-of-the-sistine-chapel--1508-12", "duration": 1323, "translated_title": "Michelangelo, ceiling of the Sistine Chapel", "translated_description_html": "Michelangelo, Ceiling of the Sistine Chapel, 1508-12 (Vatican, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671691295", "description_html": "Michelangelo, Ceiling of the Sistine Chapel, 1508-12 (Vatican, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Michelangelo, ceiling of the Sistine Chapel", "progress_key": "v671691295", "edit_slug": "edit/v/671691295", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Michelangelo, Ceiling of the Sistine Chapel, 1508-12 (Vatican, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sistine-chapel-ceiling"}, "node_slug": "v/michelangelo--ceiling-of-the-sistine-chapel--1508-12", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PEE3B8Fsuc0.mp4/PEE3B8Fsuc0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PEE3B8Fsuc0.mp4/PEE3B8Fsuc0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PEE3B8Fsuc0.m3u8/PEE3B8Fsuc0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PEE3B8Fsuc0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671691295", "sha": "2ad94eb1854c1752cc271ba010ac83c835352fa1", "translated_description": "Michelangelo, Ceiling of the Sistine Chapel, 1508-12 (Vatican, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/PEE3B8Fsuc0/hqdefault.jpg", "youtube_id": "PEE3B8Fsuc0", "content_kind": "Video", "readable_id": "michelangelo--ceiling-of-the-sistine-chapel--1508-12"}, {"translated_youtube_id": "Y-5agYcN9uU", "relative_url": "/video/michelangelo--last-judgment--sistine-chapel-ceiling--1628-1629", "has_questions": false, "keywords": "Sistine Chapel, Vatican, Renaissance art", "ka_url": "http://www.khanacademy.org/video/michelangelo--last-judgment--sistine-chapel-ceiling--1628-1629", "duration": 1078, "translated_title": "Michelangelo, Last Judgment", "translated_description_html": "Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome)\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671536493", "description_html": "Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome)\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Michelangelo, Last Judgment", "progress_key": "v671536493", "edit_slug": "edit/v/671536493", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome)\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/last-judgment-sistine-chapel"}, "node_slug": "v/michelangelo--last-judgment--sistine-chapel-ceiling--1628-1629", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y-5agYcN9uU.mp4/Y-5agYcN9uU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y-5agYcN9uU.mp4/Y-5agYcN9uU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Y-5agYcN9uU.m3u8/Y-5agYcN9uU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Y-5agYcN9uU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536493", "sha": "1b1a1e8de2d530e30861581a4c4be9cdc802488d", "translated_description": "Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome)\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Y-5agYcN9uU/hqdefault.jpg", "youtube_id": "Y-5agYcN9uU", "content_kind": "Video", "readable_id": "michelangelo--last-judgment--sistine-chapel-ceiling--1628-1629"}, {"translated_youtube_id": "tUOKkeEOkXk", "relative_url": "/video/michelangelo--laurentian-library--1524-71", "has_questions": false, "keywords": "Michelangelo, Laurentian, Library, vestibule, reading room, 1524, San Lorenzo, Florence, High Renaissance, Mannerism, architecture", "ka_url": "http://www.khanacademy.org/video/michelangelo--laurentian-library--1524-71", "duration": 478, "translated_title": "Michelangelo, Laurentian Library", "translated_description_html": "Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence", "id": "671702329", "description_html": "Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence", "title": "Michelangelo, Laurentian Library", "progress_key": "v671702329", "edit_slug": "edit/v/671702329", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/michelangelo-laurentian-library1"}, "node_slug": "v/michelangelo--laurentian-library--1524-71", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tUOKkeEOkXk.mp4/tUOKkeEOkXk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tUOKkeEOkXk.mp4/tUOKkeEOkXk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tUOKkeEOkXk.m3u8/tUOKkeEOkXk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tUOKkeEOkXk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702329", "sha": "52b88a2148a1a7eb104f11c0d3f295404d740141", "translated_description": "Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence", "image_url": "https://img.youtube.com/vi/tUOKkeEOkXk/hqdefault.jpg", "youtube_id": "tUOKkeEOkXk", "content_kind": "Video", "readable_id": "michelangelo--laurentian-library--1524-71"}, {"translated_youtube_id": "H_Guv2Mk1E0", "relative_url": "/video/raphael--marriage-of-the-virgin--1504", "has_questions": false, "keywords": "Raphael, Renaissance, art, painting, Italy, Italian, Marriage of the Virgin, 1504", "ka_url": "http://www.khanacademy.org/video/raphael--marriage-of-the-virgin--1504", "duration": 304, "translated_title": "Raphael, Marriage of the Virgin, 1504", "translated_description_html": "Raphael's Marriage of the Virgin, 1504, oil on panel, 174 cm × 121 cm / 69 in × 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "xe3596d97", "description_html": "Raphael's Marriage of the Virgin, 1504, oil on panel, 174 cm × 121 cm / 69 in × 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Raphael, Marriage of the Virgin, 1504", "progress_key": "vxe3596d97", "edit_slug": "edit/v/xe3596d97", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Raphael's Marriage of the Virgin, 1504, oil on panel, 174 cm × 121 cm / 69 in × 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/raphael-marriage-of-the-virgin.html"}, "node_slug": "v/raphael--marriage-of-the-virgin--1504", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-04-19T23:21:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H_Guv2Mk1E0.mp4/H_Guv2Mk1E0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H_Guv2Mk1E0.mp4/H_Guv2Mk1E0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H_Guv2Mk1E0.m3u8/H_Guv2Mk1E0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H_Guv2Mk1E0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe3596d97", "sha": "d0de68a0dffc965b42584e431d77f6e29bc77172", "translated_description": "Raphael's Marriage of the Virgin, 1504, oil on panel, 174 cm × 121 cm / 69 in × 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/H_Guv2Mk1E0/hqdefault.jpg", "youtube_id": "H_Guv2Mk1E0", "content_kind": "Video", "readable_id": "raphael--marriage-of-the-virgin--1504"}, {"translated_youtube_id": "jHN0BfowL7s", "relative_url": "/video/raphael--madonna-of-the-goldfinch--1505-6", "has_questions": false, "keywords": "Raphael, Smarthistory, Art History, Uffizi, Florence", "ka_url": "http://www.khanacademy.org/video/raphael--madonna-of-the-goldfinch--1505-6", "duration": 207, "translated_title": "Raphael, Madonna of the Goldfinch", "translated_description_html": "Raphael, Madonna of the Goldfinch, 1505-6, oil on panel, 42\" x 30\" (107 x 77 cm), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "671260996", "description_html": "Raphael, Madonna of the Goldfinch, 1505-6, oil on panel, 42\" x 30\" (107 x 77 cm), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Raphael, Madonna of the Goldfinch", "progress_key": "v671260996", "edit_slug": "edit/v/671260996", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Raphael, Madonna of the Goldfinch, 1505-6, oil on panel, 42\" x 30\" (107 x 77 cm), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/raphael-madonna-of-the-goldfinch"}, "node_slug": "v/raphael--madonna-of-the-goldfinch--1505-6", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jHN0BfowL7s.mp4/jHN0BfowL7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jHN0BfowL7s.mp4/jHN0BfowL7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jHN0BfowL7s.m3u8/jHN0BfowL7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jHN0BfowL7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260996", "sha": "147178b5d90fcda4ab63045f2807f738bcb0c5c0", "translated_description": "Raphael, Madonna of the Goldfinch, 1505-6, oil on panel, 42\" x 30\" (107 x 77 cm), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/jHN0BfowL7s/hqdefault.jpg", "youtube_id": "jHN0BfowL7s", "content_kind": "Video", "readable_id": "raphael--madonna-of-the-goldfinch--1505-6"}, {"translated_youtube_id": "sv9CHsd546Q", "relative_url": "/video/raphael--italian---la-belle-jardini-re--also--madonna-and-child-with-saint-john-the-baptist---1507", "has_questions": false, "keywords": "raphael, madonna, National Gallery, Renaissance", "ka_url": "http://www.khanacademy.org/video/raphael--italian---la-belle-jardini-re--also--madonna-and-child-with-saint-john-the-baptist---1507", "duration": 176, "translated_title": "Raphael, La belle jardinière", "translated_description_html": "Raphael (Italian), La belle jardinière (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 × 31½ in (122 × 80 cm, Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671539959", "description_html": "Raphael (Italian), La belle jardinière (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 × 31½ in (122 × 80 cm, Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Raphael, La belle jardinière", "progress_key": "v671539959", "edit_slug": "edit/v/671539959", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raphael (Italian), La belle jardinière (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 × 31½ in (122 × 80 cm, Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/raphaels-la-belle-jardiniere.html"}, "node_slug": "v/raphael--italian---la-belle-jardini-re--also--madonna-and-child-with-saint-john-the-baptist---1507", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-03-20T19:12:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sv9CHsd546Q.mp4/sv9CHsd546Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sv9CHsd546Q.mp4/sv9CHsd546Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sv9CHsd546Q.m3u8/sv9CHsd546Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sv9CHsd546Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539959", "sha": "35f95e2ab1772afbc513014ee93fe9987aa08b47", "translated_description": "Raphael (Italian), La belle jardinière (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 × 31½ in (122 × 80 cm, Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/sv9CHsd546Q/hqdefault.jpg", "youtube_id": "sv9CHsd546Q", "content_kind": "Video", "readable_id": "raphael--italian---la-belle-jardini-re--also--madonna-and-child-with-saint-john-the-baptist---1507"}, {"translated_youtube_id": "zpLEUF8qS3o", "relative_url": "/video/raphael--school-of-athens", "has_questions": false, "keywords": "Raphael, School of Athens, Vatican, Vatican Museums", "ka_url": "http://www.khanacademy.org/video/raphael--school-of-athens", "duration": 750, "translated_title": "Raphael, School of Athens", "translated_description_html": "Raphael, School of Athens, fresco, 1509-1511 (Stanza della Segnatura, Papal Palace, Vatican)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "671610553", "description_html": "Raphael, School of Athens, fresco, 1509-1511 (Stanza della Segnatura, Papal Palace, Vatican)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Raphael, School of Athens", "progress_key": "v671610553", "edit_slug": "edit/v/671610553", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raphael, School of Athens, fresco, 1509-1511 (Stanza della Segnatura, Papal Palace, Vatican)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/school-of-athens"}, "node_slug": "v/raphael--school-of-athens", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zpLEUF8qS3o.mp4/zpLEUF8qS3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zpLEUF8qS3o.mp4/zpLEUF8qS3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zpLEUF8qS3o.m3u8/zpLEUF8qS3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zpLEUF8qS3o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610553", "sha": "4250480417e49ad9b9ffe9a6cbce706fce9d2278", "translated_description": "Raphael, School of Athens, fresco, 1509-1511 (Stanza della Segnatura, Papal Palace, Vatican)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/zpLEUF8qS3o/hqdefault.jpg", "youtube_id": "zpLEUF8qS3o", "content_kind": "Video", "readable_id": "raphael--school-of-athens"}, {"translated_youtube_id": "ln9VIRiocps", "relative_url": "/video/raphael--alba-madonna--c--1510", "has_questions": false, "keywords": "Raphael, Smarthistory, Art History, Renaissance, National Gallery", "ka_url": "http://www.khanacademy.org/video/raphael--alba-madonna--c--1510", "duration": 416, "translated_title": "Raphael, Alba Madonna", "translated_description_html": "Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671622660", "description_html": "Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Raphael, Alba Madonna", "progress_key": "v671622660", "edit_slug": "edit/v/671622660", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/raphael"}, "node_slug": "v/raphael--alba-madonna--c--1510", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ln9VIRiocps.mp4/ln9VIRiocps.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ln9VIRiocps.mp4/ln9VIRiocps.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ln9VIRiocps.m3u8/ln9VIRiocps.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ln9VIRiocps&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622660", "sha": "6ed5b2ffa9b34ab1be6b6edbaa7412aa98d22540", "translated_description": "Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ln9VIRiocps/hqdefault.jpg", "youtube_id": "ln9VIRiocps", "content_kind": "Video", "readable_id": "raphael--alba-madonna--c--1510"}, {"translated_youtube_id": "w6DDMwsyQaA", "relative_url": "/video/raphael--portrait-of-pope-julius-ii--1511", "has_questions": false, "keywords": "Raphael, Pop Julius II, Smarthistory, National Gallery, London, Renaissance art, portraiture, art history", "ka_url": "http://www.khanacademy.org/video/raphael--portrait-of-pope-julius-ii--1511", "duration": 251, "translated_title": "Raphael, Portrait of Pope Julius II", "translated_description_html": "Raphael, Portrait of Pope Julius II, 1511, oil on poplar, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671536492", "description_html": "Raphael, Portrait of Pope Julius II, 1511, oil on poplar, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Raphael, Portrait of Pope Julius II", "progress_key": "v671536492", "edit_slug": "edit/v/671536492", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raphael, Portrait of Pope Julius II, 1511, oil on poplar, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/raphaels-portrait-of-pope-julius-ii"}, "node_slug": "v/raphael--portrait-of-pope-julius-ii--1511", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w6DDMwsyQaA.mp4/w6DDMwsyQaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w6DDMwsyQaA.mp4/w6DDMwsyQaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w6DDMwsyQaA.m3u8/w6DDMwsyQaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w6DDMwsyQaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536492", "sha": "46a902b9c200e6045826973bf6fb61f2d9402ab2", "translated_description": "Raphael, Portrait of Pope Julius II, 1511, oil on poplar, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/w6DDMwsyQaA/hqdefault.jpg", "youtube_id": "w6DDMwsyQaA", "content_kind": "Video", "readable_id": "raphael--portrait-of-pope-julius-ii--1511"}, {"translated_youtube_id": "QEA30X4ysvg", "relative_url": "/video/raphael--galatea--c--1513", "has_questions": false, "keywords": "art history, Raphael (Painter), khan academy, Smarthistory, Villa Farnesina, Rome, Renaissance", "ka_url": "http://www.khanacademy.org/video/raphael--galatea--c--1513", "duration": 263, "translated_title": "Raphael, Galatea", "translated_description_html": "Raphael, Galatea, c. 1513, fresco, Villa Farnesina, Rome, 9' 8\" x 7' 5\"", "id": "988781648", "description_html": "Raphael, Galatea, c. 1513, fresco, Villa Farnesina, Rome, 9' 8\" x 7' 5\"", "title": "Raphael, Galatea", "progress_key": "v988781648", "edit_slug": "edit/v/988781648", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Raphael, Galatea, c. 1513, fresco, Villa Farnesina, Rome, 9' 8\" x 7' 5\"", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/galatea"}, "node_slug": "v/raphael--galatea--c--1513", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-08-22T19:36:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QEA30X4ysvg.mp4/QEA30X4ysvg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QEA30X4ysvg.mp4/QEA30X4ysvg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QEA30X4ysvg.m3u8/QEA30X4ysvg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QEA30X4ysvg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v988781648", "sha": "4ff9d2f84941c7b825c9c5ce50fc9a580e5b98b1", "translated_description": "Raphael, Galatea, c. 1513, fresco, Villa Farnesina, Rome, 9' 8\" x 7' 5\"", "image_url": "https://img.youtube.com/vi/QEA30X4ysvg/hqdefault.jpg", "youtube_id": "QEA30X4ysvg", "content_kind": "Video", "readable_id": "raphael--galatea--c--1513"}, {"translated_youtube_id": "QXIXA4_5ehw", "relative_url": "/video/donato-bramante--tempietto--rome", "has_questions": false, "keywords": "High Renaissance, Renaissance, Italian, Rome, Bramante, Donato Bramante, St. Peter, Saint Peter, Martyria, Martyrium, Classical, Vitruvius, marker, San Pietro in Montorio, Tempietto, Educational", "ka_url": "http://www.khanacademy.org/video/donato-bramante--tempietto--rome", "duration": 361, "translated_title": "Bramante, Tempietto", "translated_description_html": "Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome", "id": "916484864", "description_html": "Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome", "title": "Bramante, Tempietto", "progress_key": "v916484864", "edit_slug": "edit/v/916484864", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/tempietto"}, "node_slug": "v/donato-bramante--tempietto--rome", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-07-24T21:08:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QXIXA4_5ehw.mp4/QXIXA4_5ehw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QXIXA4_5ehw.mp4/QXIXA4_5ehw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QXIXA4_5ehw.m3u8/QXIXA4_5ehw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QXIXA4_5ehw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v916484864", "sha": "792b4d52f84c15a8394bb0c833e0316d416d08d0", "translated_description": "Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome", "image_url": "https://img.youtube.com/vi/QXIXA4_5ehw/hqdefault.jpg", "youtube_id": "QXIXA4_5ehw", "content_kind": "Video", "readable_id": "donato-bramante--tempietto--rome"}, {"translated_youtube_id": "R5UK0dEFSoM", "relative_url": "/video/saint-peter-s-basilica--vatican-city--begun-1506--completed-1626", "has_questions": false, "keywords": "vatican, Smarthistory, Art History, Bramante, Michelangelo, Raphael, Renaissance", "ka_url": "http://www.khanacademy.org/video/saint-peter-s-basilica--vatican-city--begun-1506--completed-1626", "duration": 268, "translated_title": "Bramante, et.al., Saint Peter's Basilica", "translated_description_html": "Numerous architects (see below), Saint Peter's Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who's design won Julius II's competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo's plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671632340", "description_html": "Numerous architects (see below), Saint Peter's Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who's design won Julius II's competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo's plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bramante, et.al., Saint Peter's Basilica", "progress_key": "v671632340", "edit_slug": "edit/v/671632340", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Numerous architects (see below), Saint Peter's Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who's design won Julius II's competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo's plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/saint-peters-basilica"}, "node_slug": "v/saint-peter-s-basilica--vatican-city--begun-1506--completed-1626", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R5UK0dEFSoM.mp4/R5UK0dEFSoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R5UK0dEFSoM.mp4/R5UK0dEFSoM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R5UK0dEFSoM.m3u8/R5UK0dEFSoM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R5UK0dEFSoM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632340", "sha": "c8885d75ec7a504e68913db3fd9582186fc5a754", "translated_description": "Numerous architects (see below), Saint Peter's Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who's design won Julius II's competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo's plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/R5UK0dEFSoM/hqdefault.jpg", "youtube_id": "R5UK0dEFSoM", "content_kind": "Video", "readable_id": "saint-peter-s-basilica--vatican-city--begun-1506--completed-1626"}], "twitter_url": "", "translated_description": "We don’t call this the “High” Renaissance for nothing! This period sees hugely ambitious projects, from Michelangelo’s painting of the Sistine Chapel ceiling and the rebuilding of St. Peter’s in Rome, to Raphael’s frescoes in the papal palace. We use this term to refer to the art of the Italian Renaissance, beginning with Leonardo, whose great masterpiece the Last Supper, actually dates to the last decades of the 15th century (history is never neat!). In the painting and sculpture of this period, ideally beautiful figures who move gracefully, often in complex, multi-figure compositions conveying the sense that human beings are an echo of the perfection of God.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We don’t call this the “High” Renaissance for nothing! This period sees hugely ambitious projects, from Michelangelo’s painting of the Sistine Chapel ceiling and the rebuilding of St. Peter’s in Rome, to Raphael’s frescoes in the papal palace. We use this term to refer to the art of the Italian Renaissance, beginning with Leonardo, whose great masterpiece the Last Supper, actually dates to the last decades of the 15th century (history is never neat!). In the painting and sculpture of this period, ideally beautiful figures who move gracefully, often in complex, multi-figure compositions conveying the sense that human beings are an echo of the perfection of God.", "x_pos": 0.0, "node_slug": "high-renaissance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-25T18:44:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9a536edf", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/high-renaissance", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/high-renaissance", "slug": "high-renaissance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "65c8cc2ab33ef65794f6605c5c1375b9543cab55", "standalone_title": "Art History: High Renaissance", "y_pos": 0.0, "current_revision_key": "65c8cc2ab33ef65794f6605c5c1375b9543cab55", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/venice-1", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/venice-1", "translated_standalone_title": "Art History: Venice", "translated_title": "Venice", "gplus_url": "", "id": "x50aa4fc3", "old_key_name": "pi18ORolWI7WoItUs3dC7JO-41cqUpHXdGXJ7aRc", "hide": false, "title": "Venice", "child_data": [{"kind": "Article", "id": 1333371404}, {"kind": "Video", "id": "x518e582a"}, {"kind": "Video", "id": 1327610976}, {"kind": "Video", "id": 1064641631}, {"kind": "Video", "id": 719842161}, {"kind": "Video", "id": "xa4813afb"}, {"kind": "Video", "id": "x00089ddd"}, {"kind": "Video", "id": 671536488}, {"kind": "Video", "id": 671610555}, {"kind": "Video", "id": 719832193}, {"kind": "Video", "id": 1245418600}, {"kind": "Video", "id": "x9c82857e"}, {"kind": "Video", "id": 956722642}, {"kind": "Video", "id": 719832192}, {"kind": "Video", "id": 719682567}, {"kind": "Video", "id": "xdb9318cf"}, {"kind": "Video", "id": "xdf23e21a"}, {"kind": "Video", "id": "xb7940ccb"}, {"kind": "Video", "id": 719682568}, {"kind": "Video", "id": "xa7b50cd2"}, {"kind": "Exercise", "id": "x93453447"}], "children": [{"translated_youtube_id": "LFA_qmGuY2A", "relative_url": "/video/giorgione-the-tempest", "has_questions": false, "keywords": "Giorgione", "ka_url": "http://www.khanacademy.org/video/giorgione-the-tempest", "duration": 355, "translated_title": "Giorgione, The Tempest, c. 1506-8", "translated_description_html": "Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "x518e582a", "description_html": "Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Giorgione, The Tempest, c. 1506-8", "progress_key": "vx518e582a", "edit_slug": "edit/v/x518e582a", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/giorgiones-the-tempest.html"}, "node_slug": "v/giorgione-the-tempest", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-03-11T15:59:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LFA_qmGuY2A.mp4/LFA_qmGuY2A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LFA_qmGuY2A.mp4/LFA_qmGuY2A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LFA_qmGuY2A.m3u8/LFA_qmGuY2A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LFA_qmGuY2A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx518e582a", "sha": "88d6a100f4660290d05aeacd1d1038cc9b792ad1", "translated_description": "Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/LFA_qmGuY2A/hqdefault.jpg", "youtube_id": "LFA_qmGuY2A", "content_kind": "Video", "readable_id": "giorgione-the-tempest"}, {"translated_youtube_id": "RD_Mh_SDz3s", "relative_url": "/video/giorgione-three-philosophers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/giorgione-three-philosophers", "duration": 259, "translated_title": "Giorgione, Three Philosophers, c. 1506", "translated_description_html": "Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1327610976", "description_html": "Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Giorgione, Three Philosophers, c. 1506", "progress_key": "v1327610976", "edit_slug": "edit/v/1327610976", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": null, "node_slug": "v/giorgione-three-philosophers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-28T01:55:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RD_Mh_SDz3s.mp4/RD_Mh_SDz3s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RD_Mh_SDz3s.mp4/RD_Mh_SDz3s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RD_Mh_SDz3s.m3u8/RD_Mh_SDz3s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RD_Mh_SDz3s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1327610976", "sha": "797f17d55fb3208fb22ac032b3c05d9c24eab339", "translated_description": "Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/RD_Mh_SDz3s/hqdefault.jpg", "youtube_id": "RD_Mh_SDz3s", "content_kind": "Video", "readable_id": "giorgione-three-philosophers"}, {"translated_youtube_id": "M0Nf2Osgwkc", "relative_url": "/video/giorgione--the-adoration-of-the-shepherds--1505-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/giorgione--the-adoration-of-the-shepherds--1505-10", "duration": 225, "translated_title": "Giorgione, the Adoration of the Shepherds", "translated_description_html": "Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge", "id": "1064641631", "description_html": "Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge", "title": "Giorgione, the Adoration of the Shepherds", "progress_key": "v1064641631", "edit_slug": "edit/v/1064641631", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/giorgiones-the-adoration-of-the-shepherd"}, "node_slug": "v/giorgione--the-adoration-of-the-shepherds--1505-10", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-10-01T18:01:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M0Nf2Osgwkc.mp4/M0Nf2Osgwkc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M0Nf2Osgwkc.mp4/M0Nf2Osgwkc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M0Nf2Osgwkc.m3u8/M0Nf2Osgwkc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M0Nf2Osgwkc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064641631", "sha": "976ce0df276d0f99f160a68d764d4cfdb70a4c65", "translated_description": "Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge", "image_url": "https://img.youtube.com/vi/M0Nf2Osgwkc/hqdefault.jpg", "youtube_id": "M0Nf2Osgwkc", "content_kind": "Video", "readable_id": "giorgione--the-adoration-of-the-shepherds--1505-10"}, {"translated_youtube_id": "Rw8XE6hvHBo", "relative_url": "/video/titian--noli-me-tangere--c--1514", "has_questions": false, "keywords": "Titian, Noli me Tangere, 1514, National Gallery, London, Venice, Venetian, Renaissance, glazing, landscape, Don't Touch Me, art, painting, art history, Khan Academy, Smarthistory, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/titian--noli-me-tangere--c--1514", "duration": 234, "translated_title": "Titian, Noli me Tangere", "translated_description_html": "Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)", "id": "719842161", "description_html": "Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)", "title": "Titian, Noli me Tangere", "progress_key": "v719842161", "edit_slug": "edit/v/719842161", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/titians-noli-me-tangere"}, "node_slug": "v/titian--noli-me-tangere--c--1514", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-13T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rw8XE6hvHBo.mp4/Rw8XE6hvHBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rw8XE6hvHBo.mp4/Rw8XE6hvHBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rw8XE6hvHBo.m3u8/Rw8XE6hvHBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rw8XE6hvHBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842161", "sha": "bcf5aa8ed8ac8808543791a0c86112529b308190", "translated_description": "Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/Rw8XE6hvHBo/hqdefault.jpg", "youtube_id": "Rw8XE6hvHBo", "content_kind": "Video", "readable_id": "titian--noli-me-tangere--c--1514"}, {"translated_youtube_id": "2MzPOrcsWB0", "relative_url": "/video/titian-assumption-of-the-virgin", "has_questions": false, "keywords": "Titian, Venice", "ka_url": "http://www.khanacademy.org/video/titian-assumption-of-the-virgin", "duration": 205, "translated_title": "Titian, Assumption of the Virgin", "translated_description_html": "Titian, Assumption of the Virgin, c. 1516-18, oil on wood, 22' 6\" x 11' 10\" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xa4813afb", "description_html": "Titian, Assumption of the Virgin, c. 1516-18, oil on wood, 22' 6\" x 11' 10\" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Titian, Assumption of the Virgin", "progress_key": "vxa4813afb", "edit_slug": "edit/v/xa4813afb", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Titian, Assumption of the Virgin, c. 1516-18, oil on wood, 22' 6\" x 11' 10\" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/titians-assumption-of-the-virgin.html"}, "node_slug": "v/titian-assumption-of-the-virgin", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-03-11T15:50:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2MzPOrcsWB0.mp4/2MzPOrcsWB0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2MzPOrcsWB0.mp4/2MzPOrcsWB0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2MzPOrcsWB0.m3u8/2MzPOrcsWB0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2MzPOrcsWB0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa4813afb", "sha": "d338db8ed0d49754a7fb8c9c4f40ec68e7600c69", "translated_description": "Titian, Assumption of the Virgin, c. 1516-18, oil on wood, 22' 6\" x 11' 10\" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/2MzPOrcsWB0/hqdefault.jpg", "youtube_id": "2MzPOrcsWB0", "content_kind": "Video", "readable_id": "titian-assumption-of-the-virgin"}, {"translated_youtube_id": "-ngmZo-dvy4", "relative_url": "/video/titian-madonna-of-the-pesaro-family", "has_questions": false, "keywords": "Titian", "ka_url": "http://www.khanacademy.org/video/titian-madonna-of-the-pesaro-family", "duration": 426, "translated_title": "Titian, Madonna of the Pesaro Family", "translated_description_html": "Titian, Madonna of the Pesaro Family, 1519-26, oil on canvas, 16' x 9' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x00089ddd", "description_html": "Titian, Madonna of the Pesaro Family, 1519-26, oil on canvas, 16' x 9' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Titian, Madonna of the Pesaro Family", "progress_key": "vx00089ddd", "edit_slug": "edit/v/x00089ddd", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Titian, Madonna of the Pesaro Family, 1519-26, oil on canvas, 16' x 9' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/titian-madonna-of-the-pesaro-family.html"}, "node_slug": "v/titian-madonna-of-the-pesaro-family", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-11T16:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-ngmZo-dvy4.mp4/-ngmZo-dvy4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-ngmZo-dvy4.mp4/-ngmZo-dvy4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-ngmZo-dvy4.m3u8/-ngmZo-dvy4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-ngmZo-dvy4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx00089ddd", "sha": "de353758ccb236c3da9c2f53fc4d5e97127d3ae5", "translated_description": "Titian, Madonna of the Pesaro Family, 1519-26, oil on canvas, 16' x 9' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/-ngmZo-dvy4/hqdefault.jpg", "youtube_id": "-ngmZo-dvy4", "content_kind": "Video", "readable_id": "titian-madonna-of-the-pesaro-family"}, {"translated_youtube_id": "Mx59hYSFCeA", "relative_url": "/video/bellini---titian--feast-of-the-gods--1514-and-1529", "has_questions": false, "keywords": "Bellini, Titian, Venice, art, art history, national gallery, Smarthistory", "ka_url": "http://www.khanacademy.org/video/bellini---titian--feast-of-the-gods--1514-and-1529", "duration": 185, "translated_title": "Bellini and Titian, the Feast of the Gods", "translated_description_html": "Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671536488", "description_html": "Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Bellini and Titian, the Feast of the Gods", "progress_key": "v671536488", "edit_slug": "edit/v/671536488", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bellini-and-titians-the-feast-of-the-gods"}, "node_slug": "v/bellini---titian--feast-of-the-gods--1514-and-1529", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mx59hYSFCeA.mp4/Mx59hYSFCeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mx59hYSFCeA.mp4/Mx59hYSFCeA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mx59hYSFCeA.m3u8/Mx59hYSFCeA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mx59hYSFCeA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536488", "sha": "009aee5591b36752f2bc3c6cfac9ff76d52abfe0", "translated_description": "Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Mx59hYSFCeA/hqdefault.jpg", "youtube_id": "Mx59hYSFCeA", "content_kind": "Video", "readable_id": "bellini---titian--feast-of-the-gods--1514-and-1529"}, {"translated_youtube_id": "bYyxwxEqTQo", "relative_url": "/video/titian--bacchus-and-ariadne--1523-24", "has_questions": false, "keywords": "Titian, Bacchus and Ariadne, Bacchus, Smarthistory, Venetian Art Art history, Italian art, Renaissance", "ka_url": "http://www.khanacademy.org/video/titian--bacchus-and-ariadne--1523-24", "duration": 211, "translated_title": "Titian, Bacchus and Ariadne", "translated_description_html": "Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d'Alabastro of the Duke's Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html", "id": "671610555", "description_html": "Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d'Alabastro of the Duke's Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html", "title": "Titian, Bacchus and Ariadne", "progress_key": "v671610555", "edit_slug": "edit/v/671610555", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d'Alabastro of the Duke's Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/titians-bacchus-and-ariadne"}, "node_slug": "v/titian--bacchus-and-ariadne--1523-24", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bYyxwxEqTQo.mp4/bYyxwxEqTQo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bYyxwxEqTQo.mp4/bYyxwxEqTQo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bYyxwxEqTQo.m3u8/bYyxwxEqTQo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bYyxwxEqTQo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610555", "sha": "f537a777fca1260670ab025ba0261ede0f35544d", "translated_description": "Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d'Alabastro of the Duke's Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html", "image_url": "https://img.youtube.com/vi/bYyxwxEqTQo/hqdefault.jpg", "youtube_id": "bYyxwxEqTQo", "content_kind": "Video", "readable_id": "titian--bacchus-and-ariadne--1523-24"}, {"translated_youtube_id": "qD6ct0VS15c", "relative_url": "/video/titian--venus-of-urbino--1538", "has_questions": false, "keywords": "Art History, Renaissance, Venice, Venetian Art, Khan Academy, Tiziano, Nude, Titian, Venus, Urbino, smarthistory, Google Art Project, OER, Uffizi", "ka_url": "http://www.khanacademy.org/video/titian--venus-of-urbino--1538", "duration": 242, "translated_title": "Titian, Venus of Urbino", "translated_description_html": "Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)", "id": "719832193", "description_html": "Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)", "title": "Titian, Venus of Urbino", "progress_key": "v719832193", "edit_slug": "edit/v/719832193", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/titians-venus-of-urbino"}, "node_slug": "v/titian--venus-of-urbino--1538", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qD6ct0VS15c.mp4/qD6ct0VS15c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qD6ct0VS15c.mp4/qD6ct0VS15c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qD6ct0VS15c.m3u8/qD6ct0VS15c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qD6ct0VS15c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719832193", "sha": "21df14d0414b1db11458fe16302e7308ca20e386", "translated_description": "Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)", "image_url": "https://img.youtube.com/vi/qD6ct0VS15c/hqdefault.jpg", "youtube_id": "qD6ct0VS15c", "content_kind": "Video", "readable_id": "titian--venus-of-urbino--1538"}, {"translated_youtube_id": "ZVUH4-Wsdwg", "relative_url": "/video/titian--christ-crowned-with-thorns--c--1570-76", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/titian--christ-crowned-with-thorns--c--1570-76", "duration": 288, "translated_title": "Titian, Christ Crowned with Thorns", "translated_description_html": "Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 × 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "1245418600", "description_html": "Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 × 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Titian, Christ Crowned with Thorns", "progress_key": "v1245418600", "edit_slug": "edit/v/1245418600", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 × 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/titians-christ-crowned-with-thorns"}, "node_slug": "v/titian--christ-crowned-with-thorns--c--1570-76", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-12-22T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.mp4/ZVUH4-Wsdwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.mp4/ZVUH4-Wsdwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.m3u8/ZVUH4-Wsdwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZVUH4-Wsdwg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1245418600", "sha": "389479469f12cc16cb1f62adc8cbc01f05c20f29", "translated_description": "Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 × 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ZVUH4-Wsdwg/hqdefault.jpg", "youtube_id": "ZVUH4-Wsdwg", "content_kind": "Video", "readable_id": "titian--christ-crowned-with-thorns--c--1570-76"}, {"translated_youtube_id": "iNW6SYDmkDI", "relative_url": "/video/titian-pieta", "has_questions": false, "keywords": "art history, titian, venice", "ka_url": "http://www.khanacademy.org/video/titian-pieta", "duration": 303, "translated_title": "Titian, Pieta, c. 1570-76", "translated_description_html": "

Titian and Palma il Giovane, Pietà, c. 1570-76, oil on canvas, 11'6" x 12'9" (Galleria Dell'Accademia, Venice)<\/p>\n", "id": "x9c82857e", "description_html": "

Titian and Palma il Giovane, Pietà, c. 1570-76, oil on canvas, 11'6" x 12'9" (Galleria Dell'Accademia, Venice)<\/p>\n", "title": "Titian, Pieta, c. 1570-76", "progress_key": "vx9c82857e", "edit_slug": "edit/v/x9c82857e", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Titian and Palma il Giovane, Pietà, c. 1570-76, oil on canvas, 11'6\" x 12'9\" (Galleria Dell'Accademia, Venice)\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/titians-pieta.html"}, "node_slug": "v/titian-pieta", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-10T22:46:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iNW6SYDmkDI.mp4/iNW6SYDmkDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iNW6SYDmkDI.mp4/iNW6SYDmkDI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iNW6SYDmkDI.m3u8/iNW6SYDmkDI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iNW6SYDmkDI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9c82857e", "sha": "d6e74247ae8dbe91796ad5b8fa29a7dccee6ba4a", "translated_description": "Titian and Palma il Giovane, Pietà, c. 1570-76, oil on canvas, 11'6\" x 12'9\" (Galleria Dell'Accademia, Venice)\n", "image_url": "https://img.youtube.com/vi/iNW6SYDmkDI/hqdefault.jpg", "youtube_id": "iNW6SYDmkDI", "content_kind": "Video", "readable_id": "titian-pieta"}, {"translated_youtube_id": "hrBMFNvvOBI", "relative_url": "/video/correggio--jupiter-and-io", "has_questions": false, "keywords": "Correggio, Zeus, Jupiter, Io, Ganymede, Metamorphoses, Ovid, Mythology, myth, love, Gonzaga, Federico II, Mantua, Charles V, Italy, Parma, Italian, Renaissance, painting, Leda, Swan, Danae", "ka_url": "http://www.khanacademy.org/video/correggio--jupiter-and-io", "duration": 254, "translated_title": "Correggio, Jupiter and Io", "translated_description_html": "Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)", "id": "956722642", "description_html": "Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)", "title": "Correggio, Jupiter and Io", "progress_key": "v956722642", "edit_slug": "edit/v/956722642", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/correggios-jupiter-and-io"}, "node_slug": "v/correggio--jupiter-and-io", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-08-10T20:50:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hrBMFNvvOBI.mp4/hrBMFNvvOBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hrBMFNvvOBI.mp4/hrBMFNvvOBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hrBMFNvvOBI.m3u8/hrBMFNvvOBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hrBMFNvvOBI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956722642", "sha": "6650f108751bbbf9f089647e527dde57e64fa564", "translated_description": "Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)", "image_url": "https://img.youtube.com/vi/hrBMFNvvOBI/hqdefault.jpg", "youtube_id": "hrBMFNvvOBI", "content_kind": "Video", "readable_id": "correggio--jupiter-and-io"}, {"translated_youtube_id": "YnYknwUqaCM", "relative_url": "/video/paolo-veronese--the-family-of-darius-before-alexander--1565-67", "has_questions": false, "keywords": "Veronese, Darius, GAP, Alexander the Great, Venice, Venetian Painting, National, Gallery, London, diplomacy, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, renaissance", "ka_url": "http://www.khanacademy.org/video/paolo-veronese--the-family-of-darius-before-alexander--1565-67", "duration": 262, "translated_title": "Veronese, the Family of Darius Before Alexander", "translated_description_html": "Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)", "id": "719832192", "description_html": "Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)", "title": "Veronese, the Family of Darius Before Alexander", "progress_key": "v719832192", "edit_slug": "edit/v/719832192", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/veronese-the-family-of-darius-before-alexander"}, "node_slug": "v/paolo-veronese--the-family-of-darius-before-alexander--1565-67", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YnYknwUqaCM.mp4/YnYknwUqaCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YnYknwUqaCM.mp4/YnYknwUqaCM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YnYknwUqaCM.m3u8/YnYknwUqaCM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YnYknwUqaCM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719832192", "sha": "a4be4a17aae0ab5cdfceff52eb2d97cacbbbe3cb", "translated_description": "Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/YnYknwUqaCM/hqdefault.jpg", "youtube_id": "YnYknwUqaCM", "content_kind": "Video", "readable_id": "paolo-veronese--the-family-of-darius-before-alexander--1565-67"}, {"translated_youtube_id": "PI9DjVjeV2A", "relative_url": "/video/paolo-veronese--the-dream-of-saint-helena--c--1570", "has_questions": false, "keywords": "Paolo Veronese, Veronese, The Dream of Saint Helena, 1570, National Gallery, London, Constantine, Helena, Khan Academy, smarthistory, art history, Google Art Project", "ka_url": "http://www.khanacademy.org/video/paolo-veronese--the-dream-of-saint-helena--c--1570", "duration": 267, "translated_title": "Veronese, the Dream of Saint Helena", "translated_description_html": "Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)", "id": "719682567", "description_html": "Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)", "title": "Veronese, the Dream of Saint Helena", "progress_key": "v719682567", "edit_slug": "edit/v/719682567", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/veroneses-the-dream-of-saint-helena"}, "node_slug": "v/paolo-veronese--the-dream-of-saint-helena--c--1570", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PI9DjVjeV2A.mp4/PI9DjVjeV2A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PI9DjVjeV2A.mp4/PI9DjVjeV2A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PI9DjVjeV2A.m3u8/PI9DjVjeV2A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PI9DjVjeV2A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719682567", "sha": "b4ab4236a534470b3789a149a2ad9a71b8169d1c", "translated_description": "Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/PI9DjVjeV2A/hqdefault.jpg", "youtube_id": "PI9DjVjeV2A", "content_kind": "Video", "readable_id": "paolo-veronese--the-dream-of-saint-helena--c--1570"}, {"translated_youtube_id": "9g-r2007Y8c", "relative_url": "/video/paolo-veronese--feast-in-the-house-of-levi--1573", "has_questions": false, "keywords": "Veronese, Venice, Renaissance, painting, history, inquisition, trial", "ka_url": "http://www.khanacademy.org/video/paolo-veronese--feast-in-the-house-of-levi--1573", "duration": 370, "translated_title": "Paolo Veronese. Feast in the House of Levi, 1573", "translated_description_html": "Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xdb9318cf", "description_html": "Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Paolo Veronese. Feast in the House of Levi, 1573", "progress_key": "vxdb9318cf", "edit_slug": "edit/v/xdb9318cf", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/veroneses-feast-in-the-house-of-levi.html"}, "node_slug": "v/paolo-veronese--feast-in-the-house-of-levi--1573", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-04-19T23:21:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9g-r2007Y8c.mp4/9g-r2007Y8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9g-r2007Y8c.mp4/9g-r2007Y8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9g-r2007Y8c.m3u8/9g-r2007Y8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9g-r2007Y8c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdb9318cf", "sha": "85efe655c3e66a9882625294df34c024e1f1f5bd", "translated_description": "Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/9g-r2007Y8c/hqdefault.jpg", "youtube_id": "9g-r2007Y8c", "content_kind": "Video", "readable_id": "paolo-veronese--feast-in-the-house-of-levi--1573"}, {"translated_youtube_id": "e41Wh7jhoxc", "relative_url": "/video/jacopo-tintoretto--the-miracle-of-the-slave", "has_questions": false, "keywords": "Tintoretto Slave Venetian Venice Renaissance art history painting", "ka_url": "http://www.khanacademy.org/video/jacopo-tintoretto--the-miracle-of-the-slave", "duration": 423, "translated_title": "Tintoretto, the Miracle of the Slave", "translated_description_html": "Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xdf23e21a", "description_html": "Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Tintoretto, the Miracle of the Slave", "progress_key": "vxdf23e21a", "edit_slug": "edit/v/xdf23e21a", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "Http://smarthistory.khanacademy.org/tintoretto-the-miracle-of-the-slave.html"}, "node_slug": "v/jacopo-tintoretto--the-miracle-of-the-slave", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-04T03:24:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e41Wh7jhoxc.mp4/e41Wh7jhoxc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e41Wh7jhoxc.mp4/e41Wh7jhoxc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e41Wh7jhoxc.m3u8/e41Wh7jhoxc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e41Wh7jhoxc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxdf23e21a", "sha": "e1a028a89d79b4b96b39ef175487e7ff852c3ade", "translated_description": "Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/e41Wh7jhoxc/hqdefault.jpg", "youtube_id": "e41Wh7jhoxc", "content_kind": "Video", "readable_id": "jacopo-tintoretto--the-miracle-of-the-slave"}, {"translated_youtube_id": "x3GFqNYaVRE", "relative_url": "/video/Tintoretto-Finding-Mark", "has_questions": false, "keywords": "Venice, Mannerism, Tintoretto, Renaissance, painting, art", "ka_url": "http://www.khanacademy.org/video/Tintoretto-Finding-Mark", "duration": 297, "translated_title": "Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66", "translated_description_html": "

Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan) Speakers: Dr. Beth Harris and Dr. Steven Zucker
<\/p>", "id": "xb7940ccb", "description_html": "

Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan) Speakers: Dr. Beth Harris and Dr. Steven Zucker
<\/p>", "title": "Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66", "progress_key": "vxb7940ccb", "edit_slug": "edit/v/xb7940ccb", "author_names": ["Steven Zucker", "Beth Harris"], "deleted_mod_time": null, "description": "Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan) Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/tintoretto-the-finding-of-the-body-of-saint-mark.html"}, "node_slug": "v/Tintoretto-Finding-Mark", "deleted": false, "backup_timestamp": "2013-11-24T20:42:28Z", "date_added": "2013-11-24T20:42:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x3GFqNYaVRE.mp4/x3GFqNYaVRE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x3GFqNYaVRE.mp4/x3GFqNYaVRE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x3GFqNYaVRE.m3u8/x3GFqNYaVRE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x3GFqNYaVRE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb7940ccb", "sha": "ed409891f2c01a0613506d5d9e42d172bedf10c0", "translated_description": "Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan) Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/x3GFqNYaVRE/hqdefault.jpg", "youtube_id": "x3GFqNYaVRE", "content_kind": "Video", "readable_id": "Tintoretto-Finding-Mark"}, {"translated_youtube_id": "Bgrwohxf9Ws", "relative_url": "/video/jacopo-tintoretto--the-origin-of-the-milky-way--c--1575", "has_questions": false, "keywords": "Tintoretto, The Origin of the Milky Way, Origin, Myth, Mythology, Milky Way, Venice, Venetian, art, painting, 1575, National Gallery, London, Renaissance, Italian, Mannerism, glazing, Google Art Project, Khan Academy, Smarthistory, OER, art history, Hercules, Hera, Juno, Milk", "ka_url": "http://www.khanacademy.org/video/jacopo-tintoretto--the-origin-of-the-milky-way--c--1575", "duration": 319, "translated_title": "Tintoretto, the Origin of the Milky Way", "translated_description_html": "Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)", "id": "719682568", "description_html": "Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)", "title": "Tintoretto, the Origin of the Milky Way", "progress_key": "v719682568", "edit_slug": "edit/v/719682568", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/tintoretto-the-origin-of-the-milky-way"}, "node_slug": "v/jacopo-tintoretto--the-origin-of-the-milky-way--c--1575", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bgrwohxf9Ws.mp4/Bgrwohxf9Ws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bgrwohxf9Ws.mp4/Bgrwohxf9Ws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bgrwohxf9Ws.m3u8/Bgrwohxf9Ws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bgrwohxf9Ws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719682568", "sha": "8490233bdc85bf1ef7dfd9080856bc8b0c654111", "translated_description": "Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/Bgrwohxf9Ws/hqdefault.jpg", "youtube_id": "Bgrwohxf9Ws", "content_kind": "Video", "readable_id": "jacopo-tintoretto--the-origin-of-the-milky-way--c--1575"}, {"translated_youtube_id": "YhsjS5CtCTE", "relative_url": "/video/jacopo-tintoretto--last-supper", "has_questions": false, "keywords": "acopo Tintoretto, Tintoretto, Last Supper, Venice, Mannerism, art, painting, San Giorgio Maggiore", "ka_url": "http://www.khanacademy.org/video/jacopo-tintoretto--last-supper", "duration": 296, "translated_title": "Tintoretto, Last Supper", "translated_description_html": "

Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris & Dr. Steven Zucker<\/p>", "id": "xa7b50cd2", "description_html": "

Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris & Dr. Steven Zucker<\/p>", "title": "Tintoretto, Last Supper", "progress_key": "vxa7b50cd2", "edit_slug": "edit/v/xa7b50cd2", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/jacopo-tintorettos-last-supper.html"}, "node_slug": "v/jacopo-tintoretto--last-supper", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-24T02:08:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YhsjS5CtCTE.mp4/YhsjS5CtCTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YhsjS5CtCTE.mp4/YhsjS5CtCTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YhsjS5CtCTE.m3u8/YhsjS5CtCTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YhsjS5CtCTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa7b50cd2", "sha": "564925ec7f3f840fdc93fba470130b33f9fa7c94", "translated_description": "Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/YhsjS5CtCTE/hqdefault.jpg", "youtube_id": "YhsjS5CtCTE", "content_kind": "Video", "readable_id": "jacopo-tintoretto--last-supper"}], "twitter_url": "", "translated_description": "The light is different in Venice, the sun glints off the city’s watery streets illuminating Renaissance palaces and churches filled with the art of Bellini, Giorgione, Tintoretto, Veronese and Titian. Perhaps due to the complex play of light reflected off the canals and Byzantine mosaics, Venetian art is known for its brilliant color and subtle tone. The great Venetian artists produced many of the most important paintings of the Renaissance, but their work was different from their colleagues in Florence and Rome who found inspiration in ancient ruins. The Venetians favored the sumptuous, the exotic and the poetic and created art for a society that had grown wealthy trading with distant lands.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The light is different in Venice, the sun glints off the city’s watery streets illuminating Renaissance palaces and churches filled with the art of Bellini, Giorgione, Tintoretto, Veronese and Titian. Perhaps due to the complex play of light reflected off the canals and Byzantine mosaics, Venetian art is known for its brilliant color and subtle tone. The great Venetian artists produced many of the most important paintings of the Renaissance, but their work was different from their colleagues in Florence and Rome who found inspiration in ancient ruins. The Venetians favored the sumptuous, the exotic and the poetic and created art for a society that had grown wealthy trading with distant lands.", "x_pos": 0.0, "node_slug": "venice-1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-10T22:50:46Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax50aa4fc3", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/venice-1", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/venice-1", "slug": "venice-1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2994df773af9c253ded0f33aec817abeb1402589", "standalone_title": "Art History: Venice", "y_pos": 0.0, "current_revision_key": "2994df773af9c253ded0f33aec817abeb1402589", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/mannerism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/mannerism", "translated_standalone_title": "Art History: Mannerism", "translated_title": "Mannerism", "gplus_url": "", "id": "xd738e804", "old_key_name": "xoMBFHX5Ql0R96eDuj6-d_dlGI8YtboAhhKRhjUd", "hide": false, "title": "Mannerism", "child_data": [{"kind": "Video", "id": 671711116}, {"kind": "Video", "id": 1159819095}, {"kind": "Video", "id": 671397709}, {"kind": "Video", "id": 719746435}, {"kind": "Video", "id": "x98f2557c"}, {"kind": "Video", "id": 719786820}, {"kind": "Video", "id": 671702327}, {"kind": "Video", "id": 671691294}, {"kind": "Video", "id": 671707167}, {"kind": "Exercise", "id": "x57cfff12"}], "children": [{"translated_youtube_id": "suIUUGdNyWk", "relative_url": "/video/parmigianino--madonna-of-the-long-neck--1530-33", "has_questions": false, "keywords": "parmigianino, uffizi, smarthistory, art history", "ka_url": "http://www.khanacademy.org/video/parmigianino--madonna-of-the-long-neck--1530-33", "duration": 284, "translated_title": "Parmigianino, Madonna of the Long Neck", "translated_description_html": "Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2\" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html", "id": "671711116", "description_html": "Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2\" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html", "title": "Parmigianino, Madonna of the Long Neck", "progress_key": "v671711116", "edit_slug": "edit/v/671711116", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2\" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck"}, "node_slug": "v/parmigianino--madonna-of-the-long-neck--1530-33", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:11:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/suIUUGdNyWk.mp4/suIUUGdNyWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/suIUUGdNyWk.mp4/suIUUGdNyWk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/suIUUGdNyWk.m3u8/suIUUGdNyWk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=suIUUGdNyWk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711116", "sha": "244d2c1991f08acfdd4b867830609ec67ebf9460", "translated_description": "Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2\" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html", "image_url": "https://img.youtube.com/vi/suIUUGdNyWk/hqdefault.jpg", "youtube_id": "suIUUGdNyWk", "content_kind": "Video", "readable_id": "parmigianino--madonna-of-the-long-neck--1530-33"}, {"translated_youtube_id": "pfnX-zgXHBM", "relative_url": "/video/parmigianino--self-portrait-in-a-convex-mirror--1523-24", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/parmigianino--self-portrait-in-a-convex-mirror--1523-24", "duration": 173, "translated_title": "Parmigianino, Self-Portrait in a Convex Mirror", "translated_description_html": "Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1159819095", "description_html": "Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Parmigianino, Self-Portrait in a Convex Mirror", "progress_key": "v1159819095", "edit_slug": "edit/v/1159819095", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/parmigianino"}, "node_slug": "v/parmigianino--self-portrait-in-a-convex-mirror--1523-24", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-19T19:31:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pfnX-zgXHBM.mp4/pfnX-zgXHBM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pfnX-zgXHBM.mp4/pfnX-zgXHBM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pfnX-zgXHBM.m3u8/pfnX-zgXHBM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pfnX-zgXHBM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159819095", "sha": "e9218e2d937db878f58c12a88fc34a31dac5705c", "translated_description": "Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pfnX-zgXHBM/hqdefault.jpg", "youtube_id": "pfnX-zgXHBM", "content_kind": "Video", "readable_id": "parmigianino--self-portrait-in-a-convex-mirror--1523-24"}, {"translated_youtube_id": "ABhqENOxSrU", "relative_url": "/video/pontormo--entombment--or-deposition-from-the-cross--1525-28", "has_questions": false, "keywords": "Pontormo, Mannerism, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/pontormo--entombment--or-deposition-from-the-cross--1525-28", "duration": 279, "translated_title": "Pontormo, Entombment", "translated_description_html": "Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "671397709", "description_html": "Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Pontormo, Entombment", "progress_key": "v671397709", "edit_slug": "edit/v/671397709", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/pontormo-entombment"}, "node_slug": "v/pontormo--entombment--or-deposition-from-the-cross--1525-28", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ABhqENOxSrU.mp4/ABhqENOxSrU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ABhqENOxSrU.mp4/ABhqENOxSrU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ABhqENOxSrU.m3u8/ABhqENOxSrU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ABhqENOxSrU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397709", "sha": "166a265132c04e1e3b464f255ecfe0c55d969f2f", "translated_description": "Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/ABhqENOxSrU/hqdefault.jpg", "youtube_id": "ABhqENOxSrU", "content_kind": "Video", "readable_id": "pontormo--entombment--or-deposition-from-the-cross--1525-28"}, {"translated_youtube_id": "2lXL4HscWGI", "relative_url": "/video/rosso-fiorentino--the-dead-christ-with-angels--c--1524-7", "has_questions": false, "keywords": "Mannerism, Christ, Jesus, Angels, Google Art Project, GAP, Smarthistory, Khan Academy, OER, Museum of Fine Arts, Boston, Rosso Fiorentino", "ka_url": "http://www.khanacademy.org/video/rosso-fiorentino--the-dead-christ-with-angels--c--1524-7", "duration": 263, "translated_title": "Rosso Fiorentino, the Dead Christ with Angels", "translated_description_html": "Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)", "id": "719746435", "description_html": "Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)", "title": "Rosso Fiorentino, the Dead Christ with Angels", "progress_key": "v719746435", "edit_slug": "edit/v/719746435", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rosso-the-dead-christ-with-angels"}, "node_slug": "v/rosso-fiorentino--the-dead-christ-with-angels--c--1524-7", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2lXL4HscWGI.mp4/2lXL4HscWGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2lXL4HscWGI.mp4/2lXL4HscWGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2lXL4HscWGI.m3u8/2lXL4HscWGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2lXL4HscWGI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719746435", "sha": "aa59454676c6beda99bae8f4567b912c77c16df4", "translated_description": "Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/2lXL4HscWGI/hqdefault.jpg", "youtube_id": "2lXL4HscWGI", "content_kind": "Video", "readable_id": "rosso-fiorentino--the-dead-christ-with-angels--c--1524-7"}, {"translated_youtube_id": "6w2E8G0sEPc", "relative_url": "/video/bronzino--an-allegory-with-venus-and-cupid", "has_questions": false, "keywords": "Bronzino, Mannerism, Mannerist, Allegory, Florence, Italy, Italian, Francis I, Cosimo, painting, art, art history, love, jealousy, regret, folly, Venus, Cupid, mask, masks, time, Cronos, doves, night, oblivion, fraud", "ka_url": "http://www.khanacademy.org/video/bronzino--an-allegory-with-venus-and-cupid", "duration": 409, "translated_title": "Bronzino, an Allegory with Venus and Cupid", "translated_description_html": "Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "x98f2557c", "description_html": "Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bronzino, an Allegory with Venus and Cupid", "progress_key": "vx98f2557c", "edit_slug": "edit/v/x98f2557c", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bronzinos-an-allegory-with-venus-and-cupid.html"}, "node_slug": "v/bronzino--an-allegory-with-venus-and-cupid", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-07-14T15:12:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6w2E8G0sEPc.mp4/6w2E8G0sEPc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6w2E8G0sEPc.mp4/6w2E8G0sEPc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6w2E8G0sEPc.m3u8/6w2E8G0sEPc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6w2E8G0sEPc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx98f2557c", "sha": "c3939a48acc48589695a94900994f380fbef660e", "translated_description": "Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6w2E8G0sEPc/hqdefault.jpg", "youtube_id": "6w2E8G0sEPc", "content_kind": "Video", "readable_id": "bronzino--an-allegory-with-venus-and-cupid"}, {"translated_youtube_id": "fpgvjMKCyAA", "relative_url": "/video/bronzino--portrait-of-eleonora-di-toledo-with-her-son-giovanni--1544-1545", "has_questions": false, "keywords": "Bronzino, Eleonora, GAP, Uffizi, Smarthistory, Portrait, Medici, Florence, Khan Academy, art history, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/bronzino--portrait-of-eleonora-di-toledo-with-her-son-giovanni--1544-1545", "duration": 173, "translated_title": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni", "translated_description_html": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)", "id": "719786820", "description_html": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)", "title": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni", "progress_key": "v719786820", "edit_slug": "edit/v/719786820", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bronzino-portrait-of-eleonora-di-toledo-with-her-giovanni"}, "node_slug": "v/bronzino--portrait-of-eleonora-di-toledo-with-her-son-giovanni--1544-1545", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fpgvjMKCyAA.mp4/fpgvjMKCyAA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fpgvjMKCyAA.mp4/fpgvjMKCyAA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fpgvjMKCyAA.m3u8/fpgvjMKCyAA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fpgvjMKCyAA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786820", "sha": "4b2a210227016c5ddbe977b71d4aa3bf4ab825bc", "translated_description": "Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)", "image_url": "https://img.youtube.com/vi/fpgvjMKCyAA/hqdefault.jpg", "youtube_id": "fpgvjMKCyAA", "content_kind": "Video", "readable_id": "bronzino--portrait-of-eleonora-di-toledo-with-her-son-giovanni--1544-1545"}, {"translated_youtube_id": "4mpFcaeElCs", "relative_url": "/video/bronzino---the-mannerist-portrait", "has_questions": false, "keywords": "Bronzino, portraits, art, art history, smarthistory, Mannerism", "ka_url": "http://www.khanacademy.org/video/bronzino---the-mannerist-portrait", "duration": 630, "translated_title": "Bronzino and the Mannerist Portrait", "translated_description_html": "Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris", "id": "671702327", "description_html": "Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris", "title": "Bronzino and the Mannerist Portrait", "progress_key": "v671702327", "edit_slug": "edit/v/671702327", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bronzino-portraits"}, "node_slug": "v/bronzino---the-mannerist-portrait", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mpFcaeElCs.mp4/4mpFcaeElCs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4mpFcaeElCs.mp4/4mpFcaeElCs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mpFcaeElCs.m3u8/4mpFcaeElCs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4mpFcaeElCs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702327", "sha": "4558405ddfdea40f496b81dbcc3ebdcaa29cec02", "translated_description": "Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris", "image_url": "https://img.youtube.com/vi/4mpFcaeElCs/hqdefault.jpg", "youtube_id": "4mpFcaeElCs", "content_kind": "Video", "readable_id": "bronzino---the-mannerist-portrait"}, {"translated_youtube_id": "ZdTm669G7ik", "relative_url": "/video/benvenuto-cellini--perseus-with-the-head-of-medusa--c--1554", "has_questions": false, "keywords": "Cellini, Benvenuto Cellini, Perseus, Medusa, 1554, bronze, Loggia dei Lanzi, Piazza della Signoria, Florence, Mythology, Medici, Mannerism, Sculpture, Mannerist", "ka_url": "http://www.khanacademy.org/video/benvenuto-cellini--perseus-with-the-head-of-medusa--c--1554", "duration": 772, "translated_title": "Cellini, Perseus", "translated_description_html": "Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)", "id": "671691294", "description_html": "Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)", "title": "Cellini, Perseus", "progress_key": "v671691294", "edit_slug": "edit/v/671691294", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cellini"}, "node_slug": "v/benvenuto-cellini--perseus-with-the-head-of-medusa--c--1554", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZdTm669G7ik.mp4/ZdTm669G7ik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZdTm669G7ik.mp4/ZdTm669G7ik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZdTm669G7ik.m3u8/ZdTm669G7ik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZdTm669G7ik&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671691294", "sha": "230ea99f0b5d7c1cf6fb0137e51d2c9b982ea02e", "translated_description": "Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)", "image_url": "https://img.youtube.com/vi/ZdTm669G7ik/hqdefault.jpg", "youtube_id": "ZdTm669G7ik", "content_kind": "Video", "readable_id": "benvenuto-cellini--perseus-with-the-head-of-medusa--c--1554"}, {"translated_youtube_id": "3_-hYeuJTzQ", "relative_url": "/video/el-greco--adoration-of-the-shepherds--c--1612-14", "has_questions": false, "keywords": "El Greco, Smarthistory, Art History, Baroque", "ka_url": "http://www.khanacademy.org/video/el-greco--adoration-of-the-shepherds--c--1612-14", "duration": 250, "translated_title": "El Greco, Adoration of the Shepherds", "translated_description_html": "El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671707167", "description_html": "El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "El Greco, Adoration of the Shepherds", "progress_key": "v671707167", "edit_slug": "edit/v/671707167", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/el-grecos-adoration-of-the-shepherds"}, "node_slug": "v/el-greco--adoration-of-the-shepherds--c--1612-14", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_-hYeuJTzQ.mp4/3_-hYeuJTzQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_-hYeuJTzQ.mp4/3_-hYeuJTzQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_-hYeuJTzQ.m3u8/3_-hYeuJTzQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3_-hYeuJTzQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707167", "sha": "dc5d7ba96fec821a29e98e782bfe9f7e33ea9c6b", "translated_description": "El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/3_-hYeuJTzQ/hqdefault.jpg", "youtube_id": "3_-hYeuJTzQ", "content_kind": "Video", "readable_id": "el-greco--adoration-of-the-shepherds--c--1612-14"}], "twitter_url": "", "translated_description": "You could say that High Renaissance painters had achieved it all—ideally beautiful, graceful figures, rational spaces, and unified compositions with dozens of figures. If you were a young artist in the early decades of the 1500s you might have felt that there was nothing left to accomplish! Renaissance art was always based on the visual world—on representing things as we see them, but Mannerist art was more artificial, it looked to other art rather than to nature, and Mannerist artists purposely looked for complexity and difficulty to showcase their skills. Figures are elongated, the illusion of space that was so important for the Renaissance no longer makes sense, and the human body is often impossibly twisted.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "You could say that High Renaissance painters had achieved it all—ideally beautiful, graceful figures, rational spaces, and unified compositions with dozens of figures. If you were a young artist in the early decades of the 1500s you might have felt that there was nothing left to accomplish! Renaissance art was always based on the visual world—on representing things as we see them, but Mannerist art was more artificial, it looked to other art rather than to nature, and Mannerist artists purposely looked for complexity and difficulty to showcase their skills. Figures are elongated, the illusion of space that was so important for the Renaissance no longer makes sense, and the human body is often impossibly twisted.", "x_pos": 0.0, "node_slug": "mannerism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-14T15:17:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd738e804", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/mannerism", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/mannerism", "slug": "mannerism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "24704c042ddf1f6e7d251558249f84cc629681b9", "standalone_title": "Art History: Mannerism", "y_pos": 0.0, "current_revision_key": "24704c042ddf1f6e7d251558249f84cc629681b9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/northern-renaissance", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/northern-renaissance", "translated_standalone_title": "Art History: Northern Renaissance", "translated_title": "Northern Renaissance", "gplus_url": "", "id": "x21135686", "old_key_name": "WTFqinpllVxCpgWSDxlDqm0teiqesLhXW0rowwUw", "hide": false, "title": "Northern Renaissance", "child_data": [{"kind": "Video", "id": 1159799179}, {"kind": "Video", "id": 671536491}, {"kind": "Video", "id": 1168548600}, {"kind": "Video", "id": 708175161}, {"kind": "Video", "id": 671536487}, {"kind": "Video", "id": 882352990}, {"kind": "Video", "id": 1317184181}, {"kind": "Video", "id": 1159627874}, {"kind": "Article", "id": "x892579e3"}, {"kind": "Video", "id": 671686562}, {"kind": "Video", "id": 719781802}, {"kind": "Video", "id": 719624692}, {"kind": "Video", "id": 719682566}, {"kind": "Video", "id": 708126671}, {"kind": "Video", "id": 719611779}, {"kind": "Video", "id": 671686563}, {"kind": "Video", "id": 719513884}, {"kind": "Video", "id": 708141471}, {"kind": "Video", "id": "x6e23d7cb"}, {"kind": "Video", "id": 708172142}, {"kind": "Video", "id": "xa79b847e"}, {"kind": "Exercise", "id": "x2e894608"}], "children": [{"translated_youtube_id": "WyNqLrb0LRE", "relative_url": "/video/d-rer--the-four-apostles--1526", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/d-rer--the-four-apostles--1526", "duration": 352, "translated_title": "Dürer, Four Apostles", "translated_description_html": "Albrecht Dürer, The Four Apostles, 1526, oil on wood, 7' 1\" x 2' 6\" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "1159799179", "description_html": "Albrecht Dürer, The Four Apostles, 1526, oil on wood, 7' 1\" x 2' 6\" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Dürer, Four Apostles", "progress_key": "v1159799179", "edit_slug": "edit/v/1159799179", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Albrecht Dürer, The Four Apostles, 1526, oil on wood, 7' 1\" x 2' 6\" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/durer-four-apostles"}, "node_slug": "v/d-rer--the-four-apostles--1526", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-11-19T19:31:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WyNqLrb0LRE.mp4/WyNqLrb0LRE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WyNqLrb0LRE.mp4/WyNqLrb0LRE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WyNqLrb0LRE.m3u8/WyNqLrb0LRE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WyNqLrb0LRE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159799179", "sha": "eb126ae859d882117b3f218b1b74a169518116bb", "translated_description": "Albrecht Dürer, The Four Apostles, 1526, oil on wood, 7' 1\" x 2' 6\" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/WyNqLrb0LRE/hqdefault.jpg", "youtube_id": "WyNqLrb0LRE", "content_kind": "Video", "readable_id": "d-rer--the-four-apostles--1526"}, {"translated_youtube_id": "OQEWArXaCeg", "relative_url": "/video/d-rer--self-portrait--1498", "has_questions": false, "keywords": "art, durer, smarthistory, art history, self-portrait", "ka_url": "http://www.khanacademy.org/video/d-rer--self-portrait--1498", "duration": 134, "translated_title": "Dürer, Self-portrait", "translated_description_html": "Albrecht Dürer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html", "id": "671536491", "description_html": "Albrecht Dürer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html", "title": "Dürer, Self-portrait", "progress_key": "v671536491", "edit_slug": "edit/v/671536491", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Albrecht Dürer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/durer-self-portrait"}, "node_slug": "v/d-rer--self-portrait--1498", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OQEWArXaCeg.mp4/OQEWArXaCeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OQEWArXaCeg.mp4/OQEWArXaCeg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OQEWArXaCeg.m3u8/OQEWArXaCeg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OQEWArXaCeg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536491", "sha": "2a036a6b5459f25328782546b4886bb374631803", "translated_description": "Albrecht Dürer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html", "image_url": "https://img.youtube.com/vi/OQEWArXaCeg/hqdefault.jpg", "youtube_id": "OQEWArXaCeg", "content_kind": "Video", "readable_id": "d-rer--self-portrait--1498"}, {"translated_youtube_id": "ZoiY6ZLEKaY", "relative_url": "/video/albrecht-d-rer--self-portrait--1500", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/albrecht-d-rer--self-portrait--1500", "duration": 204, "translated_title": "Dürer, Self-portrait (1500)", "translated_description_html": "Albrecht Dürer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "1168548600", "description_html": "Albrecht Dürer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Dürer, Self-portrait (1500)", "progress_key": "v1168548600", "edit_slug": "edit/v/1168548600", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Albrecht Dürer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/durers-self-portrait-1500"}, "node_slug": "v/albrecht-d-rer--self-portrait--1500", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-24T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZoiY6ZLEKaY.mp4/ZoiY6ZLEKaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZoiY6ZLEKaY.mp4/ZoiY6ZLEKaY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZoiY6ZLEKaY.m3u8/ZoiY6ZLEKaY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZoiY6ZLEKaY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1168548600", "sha": "e2a3b4b8d00084d6c28168052c93e7b32b374386", "translated_description": "Albrecht Dürer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/ZoiY6ZLEKaY/hqdefault.jpg", "youtube_id": "ZoiY6ZLEKaY", "content_kind": "Video", "readable_id": "albrecht-d-rer--self-portrait--1500"}, {"translated_youtube_id": "znVEFfIdo1o", "relative_url": "/video/albrecht-d-rer--the-large-piece-of-turf--1503", "has_questions": false, "keywords": "Albrecht Dürer, Durer, Dürer, The Large Piece of Turf, Great Piece of Turf, Meadow, Grass, Weeds, Nature, 1503, watercolor, gouache, Albertina, works on paper, German, Renaissance, art history, botanical, painting, Khan Academy, Smarthistory, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/albrecht-d-rer--the-large-piece-of-turf--1503", "duration": 217, "translated_title": "Dürer, the Large Piece of Turf", "translated_description_html": "Albrecht Dürer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)", "id": "708175161", "description_html": "Albrecht Dürer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)", "title": "Dürer, the Large Piece of Turf", "progress_key": "v708175161", "edit_slug": "edit/v/708175161", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Albrecht Dürer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/durer-the-large-piece-of-turf"}, "node_slug": "v/albrecht-d-rer--the-large-piece-of-turf--1503", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znVEFfIdo1o.mp4/znVEFfIdo1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znVEFfIdo1o.mp4/znVEFfIdo1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znVEFfIdo1o.m3u8/znVEFfIdo1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znVEFfIdo1o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708175161", "sha": "7ed83a3cd15dbf3e2f4a6885cdb6090a6dcfb70b", "translated_description": "Albrecht Dürer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)", "image_url": "https://img.youtube.com/vi/znVEFfIdo1o/hqdefault.jpg", "youtube_id": "znVEFfIdo1o", "content_kind": "Video", "readable_id": "albrecht-d-rer--the-large-piece-of-turf--1503"}, {"translated_youtube_id": "C3DmiEsvs6U", "relative_url": "/video/printmaking--woodcuts-and-engravings", "has_questions": false, "keywords": "Durer, Woodcuts, engravings, smarthistory, art, art history, printmaking, prints", "ka_url": "http://www.khanacademy.org/video/printmaking--woodcuts-and-engravings", "duration": 499, "translated_title": "Woodcuts and etchings", "translated_description_html": "Speakers: David Drogin and Beth Harris", "id": "671536487", "description_html": "Speakers: David Drogin and Beth Harris", "title": "Woodcuts and etchings", "progress_key": "v671536487", "edit_slug": "edit/v/671536487", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Speakers: David Drogin and Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/derers-prints"}, "node_slug": "v/printmaking--woodcuts-and-engravings", "deleted": false, "backup_timestamp": "2013-09-25T16:13:01Z", "date_added": "2012-03-20T19:12:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C3DmiEsvs6U.mp4/C3DmiEsvs6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C3DmiEsvs6U.mp4/C3DmiEsvs6U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C3DmiEsvs6U.m3u8/C3DmiEsvs6U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C3DmiEsvs6U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536487", "sha": "62f3c3310780bc793567c260a9a66be23a0563a2", "translated_description": "Speakers: David Drogin and Beth Harris", "image_url": "https://img.youtube.com/vi/C3DmiEsvs6U/hqdefault.jpg", "youtube_id": "C3DmiEsvs6U", "content_kind": "Video", "readable_id": "printmaking--woodcuts-and-engravings"}, {"translated_youtube_id": "Ea6qS3nuvng", "relative_url": "/video/bosch--last-judgment-triptych--1504-08", "has_questions": false, "keywords": "khan academy, smarthistory, art history, Bosch, Last Judgment, Hell, Heaven, Creation, painting, triptych, altarpiece, Vienna", "ka_url": "http://www.khanacademy.org/video/bosch--last-judgment-triptych--1504-08", "duration": 532, "translated_title": "Bosch, the Last Judgment", "translated_description_html": "Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie für bildenden Künste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "882352990", "description_html": "Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie für bildenden Künste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bosch, the Last Judgment", "progress_key": "v882352990", "edit_slug": "edit/v/882352990", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie für bildenden Künste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-last-judgement"}, "node_slug": "v/bosch--last-judgment-triptych--1504-08", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-07-02T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ea6qS3nuvng.mp4/Ea6qS3nuvng.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ea6qS3nuvng.mp4/Ea6qS3nuvng.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ea6qS3nuvng.m3u8/Ea6qS3nuvng.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ea6qS3nuvng&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v882352990", "sha": "57a29d5c03ebd1ca0201a1ab9f4e6edfc6c9e7e4", "translated_description": "Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie für bildenden Künste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Ea6qS3nuvng/hqdefault.jpg", "youtube_id": "Ea6qS3nuvng", "content_kind": "Video", "readable_id": "bosch--last-judgment-triptych--1504-08"}, {"translated_youtube_id": "q8cYGh-K6Ok", "relative_url": "/video/gossaert-saint-luke-painting-the-madonna", "has_questions": false, "keywords": "art history, smarthistory, Gossaert, Northern Renaissance, Protestant Reformation,", "ka_url": "http://www.khanacademy.org/video/gossaert-saint-luke-painting-the-madonna", "duration": 309, "translated_title": "Gossaert, Saint Luke Painting the Madonna", "translated_description_html": "Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1317184181", "description_html": "Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Gossaert, Saint Luke Painting the Madonna", "progress_key": "v1317184181", "edit_slug": "edit/v/1317184181", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": null, "node_slug": "v/gossaert-saint-luke-painting-the-madonna", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-24T02:10:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q8cYGh-K6Ok.mp4/q8cYGh-K6Ok.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q8cYGh-K6Ok.mp4/q8cYGh-K6Ok.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q8cYGh-K6Ok.m3u8/q8cYGh-K6Ok.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q8cYGh-K6Ok&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1317184181", "sha": "ae931e9765e597e9c1f95d6e869db82975aba9b9", "translated_description": "Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/q8cYGh-K6Ok/hqdefault.jpg", "youtube_id": "q8cYGh-K6Ok", "content_kind": "Video", "readable_id": "gossaert-saint-luke-painting-the-madonna"}, {"translated_youtube_id": "K0qH8EwiH2g", "relative_url": "/video/altdorfer--the-battle-of-issus--1529", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/altdorfer--the-battle-of-issus--1529", "duration": 285, "translated_title": "Altdorfer, the Battle of Issus", "translated_description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer's The Battle of Issus, 1529, oil on panel, 158.4 × 120.3 cm, Alte Pinakothek, Munich", "id": "1159627874", "description_html": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer's The Battle of Issus, 1529, oil on panel, 158.4 × 120.3 cm, Alte Pinakothek, Munich", "title": "Altdorfer, the Battle of Issus", "progress_key": "v1159627874", "edit_slug": "edit/v/1159627874", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer's The Battle of Issus, 1529, oil on panel, 158.4 × 120.3 cm, Alte Pinakothek, Munich", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/altdorfers-the-battle-of-issus"}, "node_slug": "v/altdorfer--the-battle-of-issus--1529", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-19T19:31:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K0qH8EwiH2g.mp4/K0qH8EwiH2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K0qH8EwiH2g.mp4/K0qH8EwiH2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K0qH8EwiH2g.m3u8/K0qH8EwiH2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K0qH8EwiH2g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159627874", "sha": "61a2c9ef630630608f15428618729c2945227667", "translated_description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer's The Battle of Issus, 1529, oil on panel, 158.4 × 120.3 cm, Alte Pinakothek, Munich", "image_url": "https://img.youtube.com/vi/K0qH8EwiH2g/hqdefault.jpg", "youtube_id": "K0qH8EwiH2g", "content_kind": "Video", "readable_id": "altdorfer--the-battle-of-issus--1529"}, {"translated_youtube_id": "g4XZGhnFOwM", "relative_url": "/video/cranach-the-elder--adam-and-eve--1526", "has_questions": false, "keywords": "Cranach, Adam and Eve, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/cranach-the-elder--adam-and-eve--1526", "duration": 302, "translated_title": "Cranach, Adam and Eve", "translated_description_html": "Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html", "id": "671686562", "description_html": "Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html", "title": "Cranach, Adam and Eve", "progress_key": "v671686562", "edit_slug": "edit/v/671686562", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cranachs-adam-and-eve"}, "node_slug": "v/cranach-the-elder--adam-and-eve--1526", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g4XZGhnFOwM.mp4/g4XZGhnFOwM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g4XZGhnFOwM.mp4/g4XZGhnFOwM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g4XZGhnFOwM.m3u8/g4XZGhnFOwM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g4XZGhnFOwM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686562", "sha": "a7a07203a1602493d603dc36fc779ab108f71cbb", "translated_description": "Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html", "image_url": "https://img.youtube.com/vi/g4XZGhnFOwM/hqdefault.jpg", "youtube_id": "g4XZGhnFOwM", "content_kind": "Video", "readable_id": "cranach-the-elder--adam-and-eve--1526"}, {"translated_youtube_id": "baifq1b1-i4", "relative_url": "/video/lucas-cranach-the-elder--cupid-complaining-to-venus--c--1525", "has_questions": false, "keywords": "National Gallery, London, Khan Academy, smarthistory, art history, Google Art Project, OER, Lucas Cranach the Elder, Cranach, Cupid complaining to Venus, Cupid, Venus, complaining", "ka_url": "http://www.khanacademy.org/video/lucas-cranach-the-elder--cupid-complaining-to-venus--c--1525", "duration": 174, "translated_title": "Cranach the Elder, Cupid complaining to Venus", "translated_description_html": "Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)", "id": "719781802", "description_html": "Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)", "title": "Cranach the Elder, Cupid complaining to Venus", "progress_key": "v719781802", "edit_slug": "edit/v/719781802", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lucas-cranach-the-elders-cupid-complaining-to-venus"}, "node_slug": "v/lucas-cranach-the-elder--cupid-complaining-to-venus--c--1525", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/baifq1b1-i4.mp4/baifq1b1-i4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/baifq1b1-i4.mp4/baifq1b1-i4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/baifq1b1-i4.m3u8/baifq1b1-i4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=baifq1b1-i4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719781802", "sha": "7d022e51e013ecd2d7f68c343d6d0bb6150efeee", "translated_description": "Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/baifq1b1-i4/hqdefault.jpg", "youtube_id": "baifq1b1-i4", "content_kind": "Video", "readable_id": "lucas-cranach-the-elder--cupid-complaining-to-venus--c--1525"}, {"translated_youtube_id": "jnxA293u8cs", "relative_url": "/video/lucas-cranach-the-elder--judith-with-the-head-of-holofernes--c--1530", "has_questions": false, "keywords": "Cranach, Judith, GAP, Holofernes, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, Lucas Cranach the Elder, 1530, Kunsthistorisches Museum, Vienna", "ka_url": "http://www.khanacademy.org/video/lucas-cranach-the-elder--judith-with-the-head-of-holofernes--c--1530", "duration": 256, "translated_title": "Cranach the Elder, Judith with the Head of Holofernes", "translated_description_html": "Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)", "id": "719624692", "description_html": "Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)", "title": "Cranach the Elder, Judith with the Head of Holofernes", "progress_key": "v719624692", "edit_slug": "edit/v/719624692", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lucas-cranachs-judith-with-the-head-of-holofernes"}, "node_slug": "v/lucas-cranach-the-elder--judith-with-the-head-of-holofernes--c--1530", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jnxA293u8cs.mp4/jnxA293u8cs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jnxA293u8cs.mp4/jnxA293u8cs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jnxA293u8cs.m3u8/jnxA293u8cs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jnxA293u8cs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719624692", "sha": "afc9ebcbcbfe2016cea07b1c21ed0aac4cefe834", "translated_description": "Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)", "image_url": "https://img.youtube.com/vi/jnxA293u8cs/hqdefault.jpg", "youtube_id": "jnxA293u8cs", "content_kind": "Video", "readable_id": "lucas-cranach-the-elder--judith-with-the-head-of-holofernes--c--1530"}, {"translated_youtube_id": "PQZUIGzinZA", "relative_url": "/video/hans-holbein-the-younger--the-ambassadors--1533", "has_questions": false, "keywords": "holbein, ambassadors, GAP, Hans Holbein the Younger, 1533, National Gallery, London, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, lute, Anamorphosis, skull", "ka_url": "http://www.khanacademy.org/video/hans-holbein-the-younger--the-ambassadors--1533", "duration": 453, "translated_title": "Holbein the Younger, the Ambassadors", "translated_description_html": "Hans Holbein the Younger, The Ambassadors, 1533, oil on oak, 207 x 209.5 cm (The National Gallery, London). In the Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/", "id": "719682566", "description_html": "Hans Holbein the Younger, The Ambassadors, 1533, oil on oak, 207 x 209.5 cm (The National Gallery, London). In the Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/", "title": "Holbein the Younger, the Ambassadors", "progress_key": "v719682566", "edit_slug": "edit/v/719682566", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hans Holbein the Younger, The Ambassadors, 1533, oil on oak, 207 x 209.5 cm (The National Gallery, London). In the Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holbein"}, "node_slug": "v/hans-holbein-the-younger--the-ambassadors--1533", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PQZUIGzinZA.mp4/PQZUIGzinZA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PQZUIGzinZA.mp4/PQZUIGzinZA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PQZUIGzinZA.m3u8/PQZUIGzinZA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PQZUIGzinZA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719682566", "sha": "0d2b6b9a74f83764eaefc9ba5980443c60926ff4", "translated_description": "Hans Holbein the Younger, The Ambassadors, 1533, oil on oak, 207 x 209.5 cm (The National Gallery, London). In the Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/", "image_url": "https://img.youtube.com/vi/PQZUIGzinZA/hqdefault.jpg", "youtube_id": "PQZUIGzinZA", "content_kind": "Video", "readable_id": "hans-holbein-the-younger--the-ambassadors--1533"}, {"translated_youtube_id": "kK38qqvLQ2I", "relative_url": "/video/hans-holbein-the-younger--the-merchant-georg-gisze--1532", "has_questions": false, "keywords": "Holbein, Merchant, GAP, Google Art Project, Smarthistory, Khan Academy, OER, London, Hanseatic League, Portrait, German, Renaissance, England, Art History, Gemäldegalerie, painting, Office, Work, Symbolism", "ka_url": "http://www.khanacademy.org/video/hans-holbein-the-younger--the-merchant-georg-gisze--1532", "duration": 197, "translated_title": "Holbein the Younger, the Merchant Georg Gisze", "translated_description_html": "Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708126671", "description_html": "Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Holbein the Younger, the Merchant Georg Gisze", "progress_key": "v708126671", "edit_slug": "edit/v/708126671", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holbein-the-merchant-georg-gisze"}, "node_slug": "v/hans-holbein-the-younger--the-merchant-georg-gisze--1532", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kK38qqvLQ2I.mp4/kK38qqvLQ2I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kK38qqvLQ2I.mp4/kK38qqvLQ2I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kK38qqvLQ2I.m3u8/kK38qqvLQ2I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kK38qqvLQ2I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708126671", "sha": "22fc3b8c25ba6ed3d0e3f363c7fb09ed442eea05", "translated_description": "Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/kK38qqvLQ2I/hqdefault.jpg", "youtube_id": "kK38qqvLQ2I", "content_kind": "Video", "readable_id": "hans-holbein-the-younger--the-merchant-georg-gisze--1532"}, {"translated_youtube_id": "hJOU3EK085M", "relative_url": "/video/hans-holbein-the-younger--christina-of-denmark--duchess-of-milan--1538", "has_questions": false, "keywords": "Hans Holbein, Holbein, Christina of Denmark, Duchess of Milan, 1538, National Gallery, London, German, Portrait, Henry VIII, English, nobility, painting, Google Art Project, Smarthistory, Khan Academy, OER, art history", "ka_url": "http://www.khanacademy.org/video/hans-holbein-the-younger--christina-of-denmark--duchess-of-milan--1538", "duration": 196, "translated_title": "Holbein the Younger, Christina of Denmark", "translated_description_html": "Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)", "id": "719611779", "description_html": "Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)", "title": "Holbein the Younger, Christina of Denmark", "progress_key": "v719611779", "edit_slug": "edit/v/719611779", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holbein-christina-of-denmark"}, "node_slug": "v/hans-holbein-the-younger--christina-of-denmark--duchess-of-milan--1538", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJOU3EK085M.mp4/hJOU3EK085M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJOU3EK085M.mp4/hJOU3EK085M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hJOU3EK085M.m3u8/hJOU3EK085M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hJOU3EK085M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719611779", "sha": "3bad9a0e5fa061413e29b964bd892f550c58cf7e", "translated_description": "Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/hJOU3EK085M/hqdefault.jpg", "youtube_id": "hJOU3EK085M", "content_kind": "Video", "readable_id": "hans-holbein-the-younger--christina-of-denmark--duchess-of-milan--1538"}, {"translated_youtube_id": "-wTI7EC-i30", "relative_url": "/video/hans-holbein-the-younger--portrait-of-henry-viii--1540", "has_questions": false, "keywords": "portraiture, Smarthistory, art history, Northern Renaissance, Hans Holbein, 16h century", "ka_url": "http://www.khanacademy.org/video/hans-holbein-the-younger--portrait-of-henry-viii--1540", "duration": 251, "translated_title": "Holbein the Younger, Henry VIII", "translated_description_html": "Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.", "id": "671686563", "description_html": "Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.", "title": "Holbein the Younger, Henry VIII", "progress_key": "v671686563", "edit_slug": "edit/v/671686563", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/holbeins-henry-viii"}, "node_slug": "v/hans-holbein-the-younger--portrait-of-henry-viii--1540", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-wTI7EC-i30.mp4/-wTI7EC-i30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-wTI7EC-i30.mp4/-wTI7EC-i30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-wTI7EC-i30.m3u8/-wTI7EC-i30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-wTI7EC-i30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686563", "sha": "00352dc71d241e71917683f5cf52b04796a11361", "translated_description": "Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.", "image_url": "https://img.youtube.com/vi/-wTI7EC-i30/hqdefault.jpg", "youtube_id": "-wTI7EC-i30", "content_kind": "Video", "readable_id": "hans-holbein-the-younger--portrait-of-henry-viii--1540"}, {"translated_youtube_id": "9fiJ7mSzamw", "relative_url": "/video/gerard-david--the-virgin-and-child-with-saints-and-donor--c--1510", "has_questions": false, "keywords": "Gerard David Madonna, Saints, Art History, Renaissance, Flanders, Flemish, Northern Renaissance, Bruges, National Gallery, London, Khan Academy, smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/gerard-david--the-virgin-and-child-with-saints-and-donor--c--1510", "duration": 223, "translated_title": "David, the Virgin and Child with Saints and Donor", "translated_description_html": "Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)", "id": "719513884", "description_html": "Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)", "title": "David, the Virgin and Child with Saints and Donor", "progress_key": "v719513884", "edit_slug": "edit/v/719513884", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/david-the-virgin-and-child-with-saints-and-donor"}, "node_slug": "v/gerard-david--the-virgin-and-child-with-saints-and-donor--c--1510", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9fiJ7mSzamw.mp4/9fiJ7mSzamw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9fiJ7mSzamw.mp4/9fiJ7mSzamw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9fiJ7mSzamw.m3u8/9fiJ7mSzamw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9fiJ7mSzamw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719513884", "sha": "c733f27c96a55a9bc6cbcf6204554dbbb5aeb17c", "translated_description": "Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/9fiJ7mSzamw/hqdefault.jpg", "youtube_id": "9fiJ7mSzamw", "content_kind": "Video", "readable_id": "gerard-david--the-virgin-and-child-with-saints-and-donor--c--1510"}, {"translated_youtube_id": "K6BKDveCd9w", "relative_url": "/video/pieter-bruegel-the-elder--the-tower-of-babel--1563", "has_questions": false, "keywords": "Bruegel, Tower, Babel, GAP, Google Art Project, Smarthistory, Khan Academy, Pieter Bruegel, Pieter Bruegel the Elder, Tower of Babel, 1563, Kunsthistorisches, Vienna, Vien, Netherlandish, Flemish, Renaissance, Landscape, Painted Architecture, Biblical Architecture, Art History, Painting", "ka_url": "http://www.khanacademy.org/video/pieter-bruegel-the-elder--the-tower-of-babel--1563", "duration": 280, "translated_title": "Bruegel, Tower of Babel", "translated_description_html": "Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 × 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/", "id": "708141471", "description_html": "Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 × 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/", "title": "Bruegel, Tower of Babel", "progress_key": "v708141471", "edit_slug": "edit/v/708141471", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 × 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bruegels-tower-of-babel"}, "node_slug": "v/pieter-bruegel-the-elder--the-tower-of-babel--1563", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-07T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K6BKDveCd9w.mp4/K6BKDveCd9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K6BKDveCd9w.mp4/K6BKDveCd9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K6BKDveCd9w.m3u8/K6BKDveCd9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K6BKDveCd9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708141471", "sha": "4371bf6d54583abf58df10e8fa20c3bd91c9c19f", "translated_description": "Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 × 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/", "image_url": "https://img.youtube.com/vi/K6BKDveCd9w/hqdefault.jpg", "youtube_id": "K6BKDveCd9w", "content_kind": "Video", "readable_id": "pieter-bruegel-the-elder--the-tower-of-babel--1563"}, {"translated_youtube_id": "G1Hs2GZKOhw", "relative_url": "/video/bruegel-peasant-wedding", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bruegel-peasant-wedding", "duration": 329, "translated_title": "Pieter Bruegel the Elder's Peasant Wedding, c. 1566-69", "translated_description_html": "

 oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)<\/span>
Speakers: Dr. Beth Harris and Dr. Steven Zucker

<\/p>", "id": "x6e23d7cb", "description_html": "

 oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)<\/span>
Speakers: Dr. Beth Harris and Dr. Steven Zucker

<\/p>", "title": "Pieter Bruegel the Elder's Peasant Wedding, c. 1566-69", "progress_key": "vx6e23d7cb", "edit_slug": "edit/v/x6e23d7cb", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": " oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/peasant-wedding.html"}, "node_slug": "v/bruegel-peasant-wedding", "deleted": false, "backup_timestamp": "2013-09-24T21:47:44Z", "date_added": "2013-09-24T21:47:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G1Hs2GZKOhw.mp4/G1Hs2GZKOhw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G1Hs2GZKOhw.mp4/G1Hs2GZKOhw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G1Hs2GZKOhw.m3u8/G1Hs2GZKOhw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G1Hs2GZKOhw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6e23d7cb", "sha": "f57122f8e33cf6b90f68662eb55f205ef178eea3", "translated_description": " oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)Speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/G1Hs2GZKOhw/hqdefault.jpg", "youtube_id": "G1Hs2GZKOhw", "content_kind": "Video", "readable_id": "bruegel-peasant-wedding"}, {"translated_youtube_id": "mSPumIx85l8", "relative_url": "/video/pieter-bruegel-the-elder--the-dutch-proverbs--1559", "has_questions": false, "keywords": "Bruegel proverbs, GAP, Netherlandish, Flemish, Pieter Bruegel, Dutch, Bruegel the Elder, Dutch Proverbs, 1559, oak, Gemäldegalerie, Berlin, Google Art Project, Smarthistory, Khan Academy, Genre, Peasant, Allegory, OER, painitng, art, folk, Netherlands", "ka_url": "http://www.khanacademy.org/video/pieter-bruegel-the-elder--the-dutch-proverbs--1559", "duration": 140, "translated_title": "Bruegel, the Dutch Proverbs", "translated_description_html": "Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708172142", "description_html": "Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Bruegel, the Dutch Proverbs", "progress_key": "v708172142", "edit_slug": "edit/v/708172142", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bruegel-the-dutch-proverbs"}, "node_slug": "v/pieter-bruegel-the-elder--the-dutch-proverbs--1559", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mSPumIx85l8.mp4/mSPumIx85l8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mSPumIx85l8.mp4/mSPumIx85l8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mSPumIx85l8.m3u8/mSPumIx85l8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mSPumIx85l8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708172142", "sha": "4a3bd4be841eeff0cb2ec4a0df04005dc21b93f9", "translated_description": "Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/mSPumIx85l8/hqdefault.jpg", "youtube_id": "mSPumIx85l8", "content_kind": "Video", "readable_id": "pieter-bruegel-the-elder--the-dutch-proverbs--1559"}, {"translated_youtube_id": "3c7kv8SkxTs", "relative_url": "/video/renaissance-cabinet-rediscovered", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/renaissance-cabinet-rediscovered", "duration": 252, "translated_title": "A Renaissance cabinet rediscovered", "translated_description_html": "

A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+<\/a><\/p>", "id": "xa79b847e", "description_html": "

A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+<\/a><\/p>", "title": "A Renaissance cabinet rediscovered", "progress_key": "vxa79b847e", "edit_slug": "edit/v/xa79b847e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/renaissance-cabinet-rediscovered", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.mp4/3c7kv8SkxTs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.mp4/3c7kv8SkxTs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.m3u8/3c7kv8SkxTs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3c7kv8SkxTs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa79b847e", "sha": "f2a121c8b6413d7d2cfb69132f3835ddbba7f8ec", "translated_description": "A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/3c7kv8SkxTs/hqdefault.jpg", "youtube_id": "3c7kv8SkxTs", "content_kind": "Video", "readable_id": "renaissance-cabinet-rediscovered"}], "twitter_url": "", "translated_description": "The Renaissance in the North continues, but now with the impact of the Protestant Reformation, where there was growing concern that images in the church violated the commandment against making likenesses, as part of the prohibition against worshipping idols. The Reformation had a direct impact on some of the greatest painters of this period, including the German artists Durer, who converted, and Cranach, who was a close friend of Luther. There was increasing exchange during this period between artists in Italy and those in Northern Europe in terms of both methods and style, though the two styles remain distinct. Here we see some of the most complex painting in the work of Holbein, some of the most playful in the work of Bruegel and some of the most terrifying in the work of Bosch.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Renaissance in the North continues, but now with the impact of the Protestant Reformation, where there was growing concern that images in the church violated the commandment against making likenesses, as part of the prohibition against worshipping idols. The Reformation had a direct impact on some of the greatest painters of this period, including the German artists Durer, who converted, and Cranach, who was a close friend of Luther. There was increasing exchange during this period between artists in Italy and those in Northern Europe in terms of both methods and style, though the two styles remain distinct. Here we see some of the most complex painting in the work of Holbein, some of the most playful in the work of Bruegel and some of the most terrifying in the work of Bosch.", "x_pos": 0.0, "node_slug": "northern-renaissance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T21:47:44Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax21135686", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/northern-renaissance", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/northern-renaissance", "slug": "northern-renaissance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fd071d171ba024e6a4a7209ab99d208c2d1f8602", "standalone_title": "Art History: Northern Renaissance", "y_pos": 0.0, "current_revision_key": "fd071d171ba024e6a4a7209ab99d208c2d1f8602", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/new-topic", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/new-topic", "translated_standalone_title": "New Topic", "translated_title": "The Protestant Reformation", "gplus_url": "", "id": "x48537859", "old_key_name": null, "hide": false, "title": "The Protestant Reformation", "child_data": [{"kind": "Article", "id": "xf26aa3cd"}, {"kind": "Video", "id": "xb1a832b2"}, {"kind": "Video", "id": "x20184df0"}, {"kind": "Video", "id": "xf4983822"}, {"kind": "Video", "id": "x66fe4fa1"}, {"kind": "Exercise", "id": "xcd5a925c"}], "children": [{"translated_youtube_id": "qTGJMnTWrrw", "relative_url": "/video/protestant-reformation-1", "has_questions": false, "keywords": "history, Protestant Reformation, Martin Luther", "ka_url": "http://www.khanacademy.org/video/protestant-reformation-1", "duration": 498, "translated_title": "Introduction to the Protestant Reformation: Setting the stage (part 1)", "translated_description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xb1a832b2", "description_html": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Setting the stage (part 1)", "progress_key": "vxb1a832b2", "edit_slug": "edit/v/xb1a832b2", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/an-introduction-to-the-protestant-reformation-setting-the-stage-1-of-4.html"}, "node_slug": "v/protestant-reformation-1", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-22T23:44:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.mp4/qTGJMnTWrrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.mp4/qTGJMnTWrrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qTGJMnTWrrw.m3u8/qTGJMnTWrrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qTGJMnTWrrw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb1a832b2", "sha": "d8d088ddfbd331b293634415cb27de9223a10ec1", "translated_description": "Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/qTGJMnTWrrw/hqdefault.jpg", "youtube_id": "qTGJMnTWrrw", "content_kind": "Video", "readable_id": "protestant-reformation-1"}, {"translated_youtube_id": "dSOnLt3YVl0", "relative_url": "/video/introduction-to-the-protestant-reformation-Luther-2-of-4", "has_questions": false, "keywords": "Protestant Reformation, Martin Luther", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation-Luther-2-of-4", "duration": 675, "translated_title": "Introduction to the Protestant Reformation: Martin Luther (part 2)", "translated_description_html": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "x20184df0", "description_html": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Martin Luther (part 2)", "progress_key": "vx20184df0", "edit_slug": "edit/v/x20184df0", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/an-introduction-to-the-protestant-reformation-martin-luther-2-of-4.html"}, "node_slug": "v/introduction-to-the-protestant-reformation-Luther-2-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-24T00:44:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.mp4/dSOnLt3YVl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.mp4/dSOnLt3YVl0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dSOnLt3YVl0.m3u8/dSOnLt3YVl0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dSOnLt3YVl0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx20184df0", "sha": "b8d4ef446c3bae2774367d1e184f157eb088e504", "translated_description": "An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/dSOnLt3YVl0/hqdefault.jpg", "youtube_id": "dSOnLt3YVl0", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation-Luther-2-of-4"}, {"translated_youtube_id": "F6ZsIyKHTNI", "relative_url": "/video/introduction-to-the-protestant-reformation-3-of-4", "has_questions": false, "keywords": "Protestant Reformation", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation-3-of-4", "duration": 496, "translated_title": "Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)", "translated_description_html": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "id": "xf4983822", "description_html": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "title": "Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)", "progress_key": "vxf4983822", "edit_slug": "edit/v/xf4983822", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/introduction-to-the-protestant-reformation-varieties-of-protestantism-3-of-4.html"}, "node_slug": "v/introduction-to-the-protestant-reformation-3-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-24T00:43:55Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.mp4/F6ZsIyKHTNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.mp4/F6ZsIyKHTNI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F6ZsIyKHTNI.m3u8/F6ZsIyKHTNI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F6ZsIyKHTNI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf4983822", "sha": "3c7e5ed7795abb4566104aaf348f907bc186ac53", "translated_description": "An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/F6ZsIyKHTNI/hqdefault.jpg", "youtube_id": "F6ZsIyKHTNI", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation-3-of-4"}, {"translated_youtube_id": "C6PUlTYnxLY", "relative_url": "/video/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "has_questions": false, "keywords": "reformation, counter-reformation", "ka_url": "http://www.khanacademy.org/video/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "duration": 581, "translated_title": "Introduction to the Protestant Reformation: The Counter-Reformation (part 4)", "translated_description_html": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "x66fe4fa1", "description_html": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Introduction to the Protestant Reformation: The Counter-Reformation (part 4)", "progress_key": "vx66fe4fa1", "edit_slug": "edit/v/x66fe4fa1", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/counter-reformation.html"}, "node_slug": "v/introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-04-26T11:41:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.mp4/C6PUlTYnxLY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.mp4/C6PUlTYnxLY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6PUlTYnxLY.m3u8/C6PUlTYnxLY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6PUlTYnxLY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx66fe4fa1", "sha": "a1eb463277115553694c47d161f695695b84c911", "translated_description": "Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/C6PUlTYnxLY/hqdefault.jpg", "youtube_id": "C6PUlTYnxLY", "content_kind": "Video", "readable_id": "introduction-to-the-protestant-reformation--the-counter-reformation--4-of-4"}], "twitter_url": "", "translated_description": "In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.", "x_pos": 0.0, "node_slug": "new-topic", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-25T19:07:46Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax48537859", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/new-topic", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/new-topic", "slug": "new-topic", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a13666fb82db394a759c97ceb6741eac9434bfcf", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "a13666fb82db394a759c97ceb6741eac9434bfcf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/japan", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/japan", "translated_standalone_title": "Japan", "translated_title": "Japan", "gplus_url": "", "id": "x4055194c", "old_key_name": null, "hide": false, "title": "Japan", "child_data": [{"kind": "Video", "id": 671702328}, {"kind": "Video", "id": "x8d7334ba"}], "children": [{"translated_youtube_id": "_M_zc7DDZbU", "relative_url": "/video/negoro-ware-ewer", "has_questions": false, "keywords": "Negoro-ware, ewer, Negoro, workshop, Muromachi, 16th-century, lacquer, Wakayama, Japan, Portland Art Museum, Japanese", "ka_url": "http://www.khanacademy.org/video/negoro-ware-ewer", "duration": 456, "translated_title": "Japan: Muromachi to Momoyama period Negoro ware ewer", "translated_description_html": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "id": "671702328", "description_html": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "title": "Japan: Muromachi to Momoyama period Negoro ware ewer", "progress_key": "v671702328", "edit_slug": "edit/v/671702328", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "extra_properties": {}, "node_slug": "v/negoro-ware-ewer", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.mp4/_M_zc7DDZbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.mp4/_M_zc7DDZbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_M_zc7DDZbU.m3u8/_M_zc7DDZbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_M_zc7DDZbU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702328", "sha": "298fb21345f78e5e90b3c8ad3816ce68adff11ca", "translated_description": "Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)", "image_url": "https://img.youtube.com/vi/_M_zc7DDZbU/hqdefault.jpg", "youtube_id": "_M_zc7DDZbU", "content_kind": "Video", "readable_id": "negoro-ware-ewer"}, {"translated_youtube_id": "NJknAo0temI", "relative_url": "/video/making-of-japanese-lacquer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-of-japanese-lacquer", "duration": 869, "translated_title": "Bone, flesh, skin: The making of Japanese lacquer", "translated_description_html": "

Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+<\/a><\/p>", "id": "x8d7334ba", "description_html": "

Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+<\/a><\/p>", "title": "Bone, flesh, skin: The making of Japanese lacquer", "progress_key": "vx8d7334ba", "edit_slug": "edit/v/x8d7334ba", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/making-of-japanese-lacquer", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.mp4/NJknAo0temI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.mp4/NJknAo0temI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.m3u8/NJknAo0temI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NJknAo0temI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8d7334ba", "sha": "ce96a4d4c1d014bed2e5012f70fb4056827ffe76", "translated_description": "Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/NJknAo0temI/hqdefault.jpg", "youtube_id": "NJknAo0temI", "content_kind": "Video", "readable_id": "making-of-japanese-lacquer"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "japan", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-04T21:18:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4055194c", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/japan", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/japan", "slug": "japan", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "be7b19f5f8170fff15e70d07aada74cdde0ad366", "standalone_title": "Japan", "y_pos": 0.0, "current_revision_key": "be7b19f5f8170fff15e70d07aada74cdde0ad366", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "If there was one century in the past that saw radical changes in established ways of thinking comparable to the 20th Century, it would be the 16th. Before this, in Western Europe, there was only one type of Christianity—under the authority of the Pope in Rome. But in 1517 a German theologian and monk, Martin Luther, sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. Luther challenged the power of the Pope and the Church, and asserted the authority of individual conscience. At the same time, it was increasingly possible for people to read the bible in the languages that they spoke. It is also during this period that the Scientific Revolution began and observation replaced religious doctrine as the source of our understanding of the universe and our place in it. At mid-century, Copernicus suggested that the sun was at the center of solar system (not the earth), radically repositioning human beings and therefore calling into question our centrality in the universe that God had created.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If there was one century in the past that saw radical changes in established ways of thinking comparable to the 20th Century, it would be the 16th. Before this, in Western Europe, there was only one type of Christianity—under the authority of the Pope in Rome. But in 1517 a German theologian and monk, Martin Luther, sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. Luther challenged the power of the Pope and the Church, and asserted the authority of individual conscience. At the same time, it was increasingly possible for people to read the bible in the languages that they spoke. It is also during this period that the Scientific Revolution began and observation replaced religious doctrine as the source of our understanding of the universe and our place in it. At mid-century, Copernicus suggested that the sun was at the center of solar system (not the earth), radically repositioning human beings and therefore calling into question our centrality in the universe that God had created.", "x_pos": 0.0, "node_slug": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf1cfbea9", "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "slug": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1391c31040411a35e61fa1015372c13757fe8474", "standalone_title": "Art History: 1500-1600 End of the Renaissance and the Reformation", "y_pos": 0.0, "current_revision_key": "1391c31040411a35e61fa1015372c13757fe8474", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque", "translated_standalone_title": "Art History: 1600-1700 The Baroque", "translated_title": "1600-1700 the Baroque", "gplus_url": "", "id": "xd423cf4e", "old_key_name": "oDaCdgogvxTl9hs5NqAlk8I7hx0CLZ_v-SXckV6b", "hide": false, "title": "1600-1700 the Baroque", "child_data": [{"kind": "Topic", "id": "xd093b191"}, {"kind": "Topic", "id": "xc073d97d"}, {"kind": "Topic", "id": "xea43dd8d"}, {"kind": "Topic", "id": "x0665628b"}, {"kind": "Topic", "id": "x51288d14"}, {"kind": "Topic", "id": "x23e591e8"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/beginners-guide-baroque", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/beginners-guide-baroque", "translated_standalone_title": "A Beginner's Guide to the Baroque", "translated_title": "A beginner's guide to the Baroque", "gplus_url": "", "id": "xd093b191", "old_key_name": null, "hide": false, "title": "A beginner's guide to the Baroque", "child_data": [{"kind": "Article", "id": "xf2306eba"}, {"kind": "Article", "id": "x12499209"}, {"kind": "Exercise", "id": "x125cf259"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "beginners-guide-baroque", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd093b191", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/beginners-guide-baroque", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/beginners-guide-baroque", "slug": "beginners-guide-baroque", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b72d0714b2e22790b2ed230a3ed16dfc0d66f2b0", "standalone_title": "A Beginner's Guide to the Baroque", "y_pos": 0.0, "current_revision_key": "b72d0714b2e22790b2ed230a3ed16dfc0d66f2b0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/italy", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/italy", "translated_standalone_title": "Art History: Italy", "translated_title": "Italy", "gplus_url": "", "id": "xc073d97d", "old_key_name": "8y3wTFLhRrAR-rs60MIzai9Mlr_UbSAye2BMq_W3", "hide": false, "title": "Italy", "child_data": [{"kind": "Video", "id": 671610557}, {"kind": "Video", "id": 671686564}, {"kind": "Video", "id": 671686571}, {"kind": "Video", "id": 671610561}, {"kind": "Video", "id": 671632342}, {"kind": "Video", "id": 671536496}, {"kind": "Video", "id": 671422833}, {"kind": "Video", "id": 762996397}, {"kind": "Video", "id": 671686565}, {"kind": "Video", "id": 671707168}, {"kind": "Video", "id": 671686566}, {"kind": "Video", "id": 671632341}, {"kind": "Video", "id": 671610559}, {"kind": "Video", "id": 671539969}, {"kind": "Video", "id": 671459943}, {"kind": "Video", "id": 671610558}, {"kind": "Video", "id": 671707170}, {"kind": "Video", "id": 671536495}, {"kind": "Video", "id": 671702331}, {"kind": "Video", "id": 1175994508}, {"kind": "Video", "id": 671539967}, {"kind": "Video", "id": 671397711}, {"kind": "Video", "id": 671459942}, {"kind": "Exercise", "id": "xb2523284"}], "children": [{"translated_youtube_id": "YKzHdQKX9RA", "relative_url": "/video/bernini--david--1623-24", "has_questions": false, "keywords": "bernini, david, Khan Academy, Smarthistory, Art History, Baroque, Rome", "ka_url": "http://www.khanacademy.org/video/bernini--david--1623-24", "duration": 235, "translated_title": "Bernini, David", "translated_description_html": "Gian Lorenzo Bernini, David, 1623-24, marble (Galleria Borghese, Rome)", "id": "671610557", "description_html": "Gian Lorenzo Bernini, David, 1623-24, marble (Galleria Borghese, Rome)", "title": "Bernini, David", "progress_key": "v671610557", "edit_slug": "edit/v/671610557", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gian Lorenzo Bernini, David, 1623-24, marble (Galleria Borghese, Rome)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Bernini-David"}, "node_slug": "v/bernini--david--1623-24", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YKzHdQKX9RA.mp4/YKzHdQKX9RA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YKzHdQKX9RA.mp4/YKzHdQKX9RA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YKzHdQKX9RA.m3u8/YKzHdQKX9RA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YKzHdQKX9RA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610557", "sha": "5e1cd81cb5559e90b9d207936e287e0de20467fe", "translated_description": "Gian Lorenzo Bernini, David, 1623-24, marble (Galleria Borghese, Rome)", "image_url": "https://img.youtube.com/vi/YKzHdQKX9RA/hqdefault.jpg", "youtube_id": "YKzHdQKX9RA", "content_kind": "Video", "readable_id": "bernini--david--1623-24"}, {"translated_youtube_id": "3motcx0GRck", "relative_url": "/video/gian-lorenzo-bernini--pluto-and-proserpina--1621-22", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gian-lorenzo-bernini--pluto-and-proserpina--1621-22", "duration": 169, "translated_title": "Bernini, Pluto and Proserpina", "translated_description_html": "Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.", "id": "671686564", "description_html": "Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.", "title": "Bernini, Pluto and Proserpina", "progress_key": "v671686564", "edit_slug": "edit/v/671686564", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pluto-and-proserpina"}, "node_slug": "v/gian-lorenzo-bernini--pluto-and-proserpina--1621-22", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3motcx0GRck.mp4/3motcx0GRck.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3motcx0GRck.mp4/3motcx0GRck.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3motcx0GRck.m3u8/3motcx0GRck.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3motcx0GRck&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686564", "sha": "ba479aabfc99308547e487586214885f9582caf9", "translated_description": "Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.", "image_url": "https://img.youtube.com/vi/3motcx0GRck/hqdefault.jpg", "youtube_id": "3motcx0GRck", "content_kind": "Video", "readable_id": "gian-lorenzo-bernini--pluto-and-proserpina--1621-22"}, {"translated_youtube_id": "e3RSRrUL1Os", "relative_url": "/video/bernini--apollo-and-daphne--1622-25", "has_questions": false, "keywords": "bernini, rome, apollo, daphne, borghese, smarthistory, art, art history", "ka_url": "http://www.khanacademy.org/video/bernini--apollo-and-daphne--1622-25", "duration": 184, "translated_title": "Bernini, Apollo and Daphne", "translated_description_html": "Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker", "id": "671686571", "description_html": "Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bernini, Apollo and Daphne", "progress_key": "v671686571", "edit_slug": "edit/v/671686571", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/berninis-apollo-and-daphne"}, "node_slug": "v/bernini--apollo-and-daphne--1622-25", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e3RSRrUL1Os.mp4/e3RSRrUL1Os.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e3RSRrUL1Os.mp4/e3RSRrUL1Os.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e3RSRrUL1Os.m3u8/e3RSRrUL1Os.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e3RSRrUL1Os&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686571", "sha": "9afde08e90594fb84b7f20c5c7f8ede0bd042f8b", "translated_description": "Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/e3RSRrUL1Os/hqdefault.jpg", "youtube_id": "e3RSRrUL1Os", "content_kind": "Video", "readable_id": "bernini--apollo-and-daphne--1622-25"}, {"translated_youtube_id": "ljmwlMTH5Tk", "relative_url": "/video/bernini--st--peter-s-piazza--1656-67", "has_questions": false, "keywords": "art, art history, rome, St Peters, Vatican, Bernini", "ka_url": "http://www.khanacademy.org/video/bernini--st--peter-s-piazza--1656-67", "duration": 171, "translated_title": "Bernini, Saint Peter's Square", "translated_description_html": "Gianlorenzo Bernini, Saint Peter's Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671610561", "description_html": "Gianlorenzo Bernini, Saint Peter's Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bernini, Saint Peter's Square", "progress_key": "v671610561", "edit_slug": "edit/v/671610561", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gianlorenzo Bernini, Saint Peter's Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/berninis-saint-peters-square"}, "node_slug": "v/bernini--st--peter-s-piazza--1656-67", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ljmwlMTH5Tk.mp4/ljmwlMTH5Tk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ljmwlMTH5Tk.mp4/ljmwlMTH5Tk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ljmwlMTH5Tk.m3u8/ljmwlMTH5Tk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ljmwlMTH5Tk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610561", "sha": "b5d7ef2e6b0afc7b617e985c71876264b0cd98c0", "translated_description": "Gianlorenzo Bernini, Saint Peter's Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ljmwlMTH5Tk/hqdefault.jpg", "youtube_id": "ljmwlMTH5Tk", "content_kind": "Video", "readable_id": "bernini--st--peter-s-piazza--1656-67"}, {"translated_youtube_id": "W3a2QIm3cXM", "relative_url": "/video/bernini--bust-of-medusa--c--1644-48", "has_questions": false, "keywords": "Bernini, Medusa, Capitoline Museum, Art History, Smarthistory, Art", "ka_url": "http://www.khanacademy.org/video/bernini--bust-of-medusa--c--1644-48", "duration": 175, "translated_title": "Bernini, Bust of Medusa", "translated_description_html": "Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)", "id": "671632342", "description_html": "Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)", "title": "Bernini, Bust of Medusa", "progress_key": "v671632342", "edit_slug": "edit/v/671632342", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bust-of-medusa"}, "node_slug": "v/bernini--bust-of-medusa--c--1644-48", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W3a2QIm3cXM.mp4/W3a2QIm3cXM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W3a2QIm3cXM.mp4/W3a2QIm3cXM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W3a2QIm3cXM.m3u8/W3a2QIm3cXM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W3a2QIm3cXM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632342", "sha": "fd034a2842936a124a52e32886e56fb86766d3dc", "translated_description": "Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)", "image_url": "https://img.youtube.com/vi/W3a2QIm3cXM/hqdefault.jpg", "youtube_id": "W3a2QIm3cXM", "content_kind": "Video", "readable_id": "bernini--bust-of-medusa--c--1644-48"}, {"translated_youtube_id": "RKcJvjP9zgY", "relative_url": "/video/bernini---ecstasy-of-st--theresa", "has_questions": false, "keywords": "Bernini, Theresa, Ecstasy of Saint Theresa, Gian Lorenzo Bernini, 1647, 1652, Cornaro, Vittoria, Rome, Baroque, Counter Reformation", "ka_url": "http://www.khanacademy.org/video/bernini---ecstasy-of-st--theresa", "duration": 453, "translated_title": "Bernini, Ecstasy of Saint Teresa", "translated_description_html": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "id": "671536496", "description_html": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "title": "Bernini, Ecstasy of Saint Teresa", "progress_key": "v671536496", "edit_slug": "edit/v/671536496", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bernini-ecstasy-of-st.-theresa"}, "node_slug": "v/bernini---ecstasy-of-st--theresa", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.mp4/RKcJvjP9zgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.mp4/RKcJvjP9zgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RKcJvjP9zgY.m3u8/RKcJvjP9zgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RKcJvjP9zgY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536496", "sha": "f3336dab9acee88008bdc5b9b04c73361cf1622a", "translated_description": "Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)", "image_url": "https://img.youtube.com/vi/RKcJvjP9zgY/hqdefault.jpg", "youtube_id": "RKcJvjP9zgY", "content_kind": "Video", "readable_id": "bernini---ecstasy-of-st--theresa"}, {"translated_youtube_id": "z-yC6Owcg7g", "relative_url": "/video/gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e", "has_questions": false, "keywords": "smarthistory", "ka_url": "http://www.khanacademy.org/video/gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e", "duration": 210, "translated_title": "Bernini, Cathedra Petri (Chair of St. Peter)", "translated_description_html": "Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter's Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.", "id": "671422833", "description_html": "Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter's Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.", "title": "Bernini, Cathedra Petri (Chair of St. Peter)", "progress_key": "v671422833", "edit_slug": "edit/v/671422833", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter's Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/berninis-cathedra-petri"}, "node_slug": "v/gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z-yC6Owcg7g.mp4/z-yC6Owcg7g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z-yC6Owcg7g.mp4/z-yC6Owcg7g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z-yC6Owcg7g.m3u8/z-yC6Owcg7g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z-yC6Owcg7g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422833", "sha": "27de78e47a167f5e3afd298a17b6358e0cb92879", "translated_description": "Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter's Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.", "image_url": "https://img.youtube.com/vi/z-yC6Owcg7g/hqdefault.jpg", "youtube_id": "z-yC6Owcg7g", "content_kind": "Video", "readable_id": "gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e"}, {"translated_youtube_id": "EhEg8Wx_NA8", "relative_url": "/video/bernini--sant-andrea-al-quirinale", "has_questions": false, "keywords": "Bernini, Sant'Andrea, Rome, Baroque, Smarthistory, Khan Academy, Art History", "ka_url": "http://www.khanacademy.org/video/bernini--sant-andrea-al-quirinale", "duration": 507, "translated_title": "Bernini, Sant'Andrea al Quirinale", "translated_description_html": "Gian Lorenzo Bernini, Sant'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary", "id": "762996397", "description_html": "Gian Lorenzo Bernini, Sant'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary", "title": "Bernini, Sant'Andrea al Quirinale", "progress_key": "v762996397", "edit_slug": "edit/v/762996397", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gian Lorenzo Bernini, Sant'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/santandrea-al-quirinale"}, "node_slug": "v/bernini--sant-andrea-al-quirinale", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-04T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EhEg8Wx_NA8.mp4/EhEg8Wx_NA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EhEg8Wx_NA8.mp4/EhEg8Wx_NA8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EhEg8Wx_NA8.m3u8/EhEg8Wx_NA8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EhEg8Wx_NA8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v762996397", "sha": "5f955084c297741d097ef452a414d8367f9c1255", "translated_description": "Gian Lorenzo Bernini, Sant'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary", "image_url": "https://img.youtube.com/vi/EhEg8Wx_NA8/hqdefault.jpg", "youtube_id": "EhEg8Wx_NA8", "content_kind": "Video", "readable_id": "bernini--sant-andrea-al-quirinale"}, {"translated_youtube_id": "Wm-akMcsHEc", "relative_url": "/video/francesco-borromini--san-carlo--1638---1646", "has_questions": false, "keywords": "art history, smarthistory, baroque, architecture, borromini, Rome, San Carlo, Cardinal Francesco Barberini, Holy Order of the Trinity.", "ka_url": "http://www.khanacademy.org/video/francesco-borromini--san-carlo--1638---1646", "duration": 413, "translated_title": "Borromini, San Carlo alle Quattro Fontane", "translated_description_html": "Francesco Borromini, San Carlo alle Quattro Fontane (\"Carlino\"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker", "id": "671686565", "description_html": "Francesco Borromini, San Carlo alle Quattro Fontane (\"Carlino\"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker", "title": "Borromini, San Carlo alle Quattro Fontane", "progress_key": "v671686565", "edit_slug": "edit/v/671686565", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Francesco Borromini, San Carlo alle Quattro Fontane (\"Carlino\"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/san-carlo-alle-quattro-fontane"}, "node_slug": "v/francesco-borromini--san-carlo--1638---1646", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wm-akMcsHEc.mp4/Wm-akMcsHEc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wm-akMcsHEc.mp4/Wm-akMcsHEc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wm-akMcsHEc.m3u8/Wm-akMcsHEc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wm-akMcsHEc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686565", "sha": "06e18931016ace5a6ce6a68ac985388f19099f1b", "translated_description": "Francesco Borromini, San Carlo alle Quattro Fontane (\"Carlino\"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Wm-akMcsHEc/hqdefault.jpg", "youtube_id": "Wm-akMcsHEc", "content_kind": "Video", "readable_id": "francesco-borromini--san-carlo--1638---1646"}, {"translated_youtube_id": "JrTsNuUQXzU", "relative_url": "/video/caravaggio--narcissus-at-the-source--1597-99", "has_questions": false, "keywords": "Narcissus, Caravaggio, Baroque, Italian, Narcissus at the Source, 1597", "ka_url": "http://www.khanacademy.org/video/caravaggio--narcissus-at-the-source--1597-99", "duration": 217, "translated_title": "Caravaggio, Narcissus at the Source", "translated_description_html": "Michelangelo Merisi da Caravaggio, Narcissus at the Source, oil on canvas, 1597-99 (Palazzo Barbarini) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671707168", "description_html": "Michelangelo Merisi da Caravaggio, Narcissus at the Source, oil on canvas, 1597-99 (Palazzo Barbarini) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Caravaggio, Narcissus at the Source", "progress_key": "v671707168", "edit_slug": "edit/v/671707168", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michelangelo Merisi da Caravaggio, Narcissus at the Source, oil on canvas, 1597-99 (Palazzo Barbarini) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/narcissus-at-the-source"}, "node_slug": "v/caravaggio--narcissus-at-the-source--1597-99", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-03-20T19:12:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JrTsNuUQXzU.mp4/JrTsNuUQXzU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JrTsNuUQXzU.mp4/JrTsNuUQXzU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JrTsNuUQXzU.m3u8/JrTsNuUQXzU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JrTsNuUQXzU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707168", "sha": "7c73b0f0f034a45d7813639cf6a8b391489eeb1c", "translated_description": "Michelangelo Merisi da Caravaggio, Narcissus at the Source, oil on canvas, 1597-99 (Palazzo Barbarini) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/JrTsNuUQXzU/hqdefault.jpg", "youtube_id": "JrTsNuUQXzU", "content_kind": "Video", "readable_id": "caravaggio--narcissus-at-the-source--1597-99"}, {"translated_youtube_id": "OcUMAHfo9MA", "relative_url": "/video/caravaggio--contarelli-chapel--san-luigi-dei-francesi--rome", "has_questions": false, "keywords": "Rome, Caravaggio, Calling of St. Matthew, Contarelli Chapel, Baroque art, Smarthistory", "ka_url": "http://www.khanacademy.org/video/caravaggio--contarelli-chapel--san-luigi-dei-francesi--rome", "duration": 270, "translated_title": "Caravaggio, Contarelli Chapel, San Luigi dei Francesi", "translated_description_html": "Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker", "id": "671686566", "description_html": "Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker", "title": "Caravaggio, Contarelli Chapel, San Luigi dei Francesi", "progress_key": "v671686566", "edit_slug": "edit/v/671686566", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/contarelli-chapel"}, "node_slug": "v/caravaggio--contarelli-chapel--san-luigi-dei-francesi--rome", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcUMAHfo9MA.mp4/OcUMAHfo9MA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcUMAHfo9MA.mp4/OcUMAHfo9MA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OcUMAHfo9MA.m3u8/OcUMAHfo9MA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OcUMAHfo9MA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686566", "sha": "41fc00d2fb910fa5052d3c80074e27da1feea9f8", "translated_description": "Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/OcUMAHfo9MA/hqdefault.jpg", "youtube_id": "OcUMAHfo9MA", "content_kind": "Video", "readable_id": "caravaggio--contarelli-chapel--san-luigi-dei-francesi--rome"}, {"translated_youtube_id": "SZF5K8epWko", "relative_url": "/video/caravaggio-s-calling-of-st--matthew--c--1599-1600", "has_questions": false, "keywords": "Caravaggio, Rome, Smarthistory, Art History, San Luigi dei Francese, Conarelli Chapel, St. Matthew, Baroque", "ka_url": "http://www.khanacademy.org/video/caravaggio-s-calling-of-st--matthew--c--1599-1600", "duration": 382, "translated_title": "Caravaggio, Calling of Saint Matthew", "translated_description_html": "Caravaggio's Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)", "id": "671632341", "description_html": "Caravaggio's Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)", "title": "Caravaggio, Calling of Saint Matthew", "progress_key": "v671632341", "edit_slug": "edit/v/671632341", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Caravaggio's Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/caravaggio-matthew"}, "node_slug": "v/caravaggio-s-calling-of-st--matthew--c--1599-1600", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SZF5K8epWko.mp4/SZF5K8epWko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SZF5K8epWko.mp4/SZF5K8epWko.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SZF5K8epWko.m3u8/SZF5K8epWko.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SZF5K8epWko&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632341", "sha": "7392a0160f3203ca123f89c322d26dea0ecb16e7", "translated_description": "Caravaggio's Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)", "image_url": "https://img.youtube.com/vi/SZF5K8epWko/hqdefault.jpg", "youtube_id": "SZF5K8epWko", "content_kind": "Video", "readable_id": "caravaggio-s-calling-of-st--matthew--c--1599-1600"}, {"translated_youtube_id": "cLICU2cDHrs", "relative_url": "/video/caravaggio--crucifixion-of-st--peter--1601", "has_questions": false, "keywords": "Caravaggio, St. Peter, Rome, Santa Maria del Popolo, Art History, Baroque, Smarthistory", "ka_url": "http://www.khanacademy.org/video/caravaggio--crucifixion-of-st--peter--1601", "duration": 219, "translated_title": "Caravaggio, Crucifixion of Saint Peter", "translated_description_html": "Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671610559", "description_html": "Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Caravaggio, Crucifixion of Saint Peter", "progress_key": "v671610559", "edit_slug": "edit/v/671610559", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/crucifixion-of-st.-peter"}, "node_slug": "v/caravaggio--crucifixion-of-st--peter--1601", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-03-20T19:12:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cLICU2cDHrs.mp4/cLICU2cDHrs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cLICU2cDHrs.mp4/cLICU2cDHrs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cLICU2cDHrs.m3u8/cLICU2cDHrs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cLICU2cDHrs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610559", "sha": "83b0b567dcd855d1d7501c6f3becf34eccc0ed8e", "translated_description": "Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/cLICU2cDHrs/hqdefault.jpg", "youtube_id": "cLICU2cDHrs", "content_kind": "Video", "readable_id": "caravaggio--crucifixion-of-st--peter--1601"}, {"translated_youtube_id": "asLQmxK7ExY", "relative_url": "/video/caravaggio--the-supper-at-emmaus--1601", "has_questions": false, "keywords": "Caravaggio, Supper at Emmaus, National Gallery, London, Art History, Smarthistory, Baroque", "ka_url": "http://www.khanacademy.org/video/caravaggio--the-supper-at-emmaus--1601", "duration": 243, "translated_title": "Caravaggio, Supper at Emmaus", "translated_description_html": "Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, oil on canvas, 55 x 77 inches, 141 x 196.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671539969", "description_html": "Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, oil on canvas, 55 x 77 inches, 141 x 196.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Caravaggio, Supper at Emmaus", "progress_key": "v671539969", "edit_slug": "edit/v/671539969", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, oil on canvas, 55 x 77 inches, 141 x 196.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/supper-at-emmaus"}, "node_slug": "v/caravaggio--the-supper-at-emmaus--1601", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/asLQmxK7ExY.mp4/asLQmxK7ExY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/asLQmxK7ExY.mp4/asLQmxK7ExY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/asLQmxK7ExY.m3u8/asLQmxK7ExY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=asLQmxK7ExY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539969", "sha": "ba5d5bda96aa088fce24cbdc0c2e7a3178d43365", "translated_description": "Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, oil on canvas, 55 x 77 inches, 141 x 196.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/asLQmxK7ExY/hqdefault.jpg", "youtube_id": "asLQmxK7ExY", "content_kind": "Video", "readable_id": "caravaggio--the-supper-at-emmaus--1601"}, {"translated_youtube_id": "TkH-yjJ35vU", "relative_url": "/video/caravaggio--death-of-the-virgin--1605-06", "has_questions": false, "keywords": "Caravaggio, Art History, Smarthistory, Baroque, Rome", "ka_url": "http://www.khanacademy.org/video/caravaggio--death-of-the-virgin--1605-06", "duration": 237, "translated_title": "Caravaggio, Death of the Virgin", "translated_description_html": "Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musée du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html", "id": "671459943", "description_html": "Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musée du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html", "title": "Caravaggio, Death of the Virgin", "progress_key": "v671459943", "edit_slug": "edit/v/671459943", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musée du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/caravaggios-death-of-the-virgin.html"}, "node_slug": "v/caravaggio--death-of-the-virgin--1605-06", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TkH-yjJ35vU.mp4/TkH-yjJ35vU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TkH-yjJ35vU.mp4/TkH-yjJ35vU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TkH-yjJ35vU.m3u8/TkH-yjJ35vU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TkH-yjJ35vU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459943", "sha": "dc9f3f50974d3031c35b568a004f1d78acea3d8c", "translated_description": "Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musée du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html", "image_url": "https://img.youtube.com/vi/TkH-yjJ35vU/hqdefault.jpg", "youtube_id": "TkH-yjJ35vU", "content_kind": "Video", "readable_id": "caravaggio--death-of-the-virgin--1605-06"}, {"translated_youtube_id": "FgVkgR1bXvY", "relative_url": "/video/pierre-le-gros-the-younger--stanislas-kostka-on-his-deathbed--1703", "has_questions": false, "keywords": "Baroque, Smarthistory, Art, Art History, Pierre Le Gros, Stanislas Kostka, Bernini, Rome", "ka_url": "http://www.khanacademy.org/video/pierre-le-gros-the-younger--stanislas-kostka-on-his-deathbed--1703", "duration": 273, "translated_title": "Pierre Le Gros the Younger, Stanislas Kostka on his Deathbed", "translated_description_html": "Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini's Sant'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video", "id": "671610558", "description_html": "Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini's Sant'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video", "title": "Pierre Le Gros the Younger, Stanislas Kostka on his Deathbed", "progress_key": "v671610558", "edit_slug": "edit/v/671610558", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini's Sant'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pierre-le-gros-the-youngers-stanislas-kostka-on-his-deathbed"}, "node_slug": "v/pierre-le-gros-the-younger--stanislas-kostka-on-his-deathbed--1703", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FgVkgR1bXvY.mp4/FgVkgR1bXvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FgVkgR1bXvY.mp4/FgVkgR1bXvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FgVkgR1bXvY.m3u8/FgVkgR1bXvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FgVkgR1bXvY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671610558", "sha": "c8b173f146b91e8c5e43a884c19ab35fd494093a", "translated_description": "Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini's Sant'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video", "image_url": "https://img.youtube.com/vi/FgVkgR1bXvY/hqdefault.jpg", "youtube_id": "FgVkgR1bXvY", "content_kind": "Video", "readable_id": "pierre-le-gros-the-younger--stanislas-kostka-on-his-deathbed--1703"}, {"translated_youtube_id": "EczhLjFtyio", "relative_url": "/video/guercino--st-luke-displaying-a-painting-of-the-virgin--1652-53", "has_questions": false, "keywords": "Guercino, Baroque art, Smarthistory, Nelson-Atkins, St. Luke", "ka_url": "http://www.khanacademy.org/video/guercino--st-luke-displaying-a-painting-of-the-virgin--1652-53", "duration": 508, "translated_title": "Guercino, Saint Luke Displaying a Painting of the Virgin", "translated_description_html": "Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)", "id": "671707170", "description_html": "Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)", "title": "Guercino, Saint Luke Displaying a Painting of the Virgin", "progress_key": "v671707170", "edit_slug": "edit/v/671707170", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/guercino"}, "node_slug": "v/guercino--st-luke-displaying-a-painting-of-the-virgin--1652-53", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EczhLjFtyio.mp4/EczhLjFtyio.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EczhLjFtyio.mp4/EczhLjFtyio.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EczhLjFtyio.m3u8/EczhLjFtyio.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EczhLjFtyio&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707170", "sha": "5aa466427ca5b12111b852a5e43c67d5e63b7b91", "translated_description": "Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)", "image_url": "https://img.youtube.com/vi/EczhLjFtyio/hqdefault.jpg", "youtube_id": "EczhLjFtyio", "content_kind": "Video", "readable_id": "guercino--st-luke-displaying-a-painting-of-the-virgin--1652-53"}, {"translated_youtube_id": "aj2el_owSg4", "relative_url": "/video/il-gesu--rome--consecrated-1584", "has_questions": false, "keywords": "Rome, Il Gesu, Baroque art, smarthistory, Giacomo Barozzi da Vignola, il Baciccio, Italy, art history", "ka_url": "http://www.khanacademy.org/video/il-gesu--rome--consecrated-1584", "duration": 488, "translated_title": "Giacomo Barozzi da Vignola and Giacomo della Porta, Il Gesù, Rome; fresco by Giovanni Battista Gaulli", "translated_description_html": "Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). \n\nSpeakers: Frank Dabell, Beth Harris, and Steven Zucker\n\nMade with our partners, contexttravel.org", "id": "671536495", "description_html": "Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). \n\nSpeakers: Frank Dabell, Beth Harris, and Steven Zucker\n\nMade with our partners, contexttravel.org", "title": "Giacomo Barozzi da Vignola and Giacomo della Porta, Il Gesù, Rome; fresco by Giovanni Battista Gaulli", "progress_key": "v671536495", "edit_slug": "edit/v/671536495", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). \n\nSpeakers: Frank Dabell, Beth Harris, and Steven Zucker\n\nMade with our partners, contexttravel.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/il-gesu-rome"}, "node_slug": "v/il-gesu--rome--consecrated-1584", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aj2el_owSg4.mp4/aj2el_owSg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aj2el_owSg4.mp4/aj2el_owSg4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aj2el_owSg4.m3u8/aj2el_owSg4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aj2el_owSg4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671536495", "sha": "fc6de3a6865664c263469b99f96218e72d4f808c", "translated_description": "Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). \n\nSpeakers: Frank Dabell, Beth Harris, and Steven Zucker\n\nMade with our partners, contexttravel.org", "image_url": "https://img.youtube.com/vi/aj2el_owSg4/hqdefault.jpg", "youtube_id": "aj2el_owSg4", "content_kind": "Video", "readable_id": "il-gesu--rome--consecrated-1584"}, {"translated_youtube_id": "A3vkqYgJ93c", "relative_url": "/video/pozzo--st--ignatius-chapel--il-gesu--rome--commissioned-in-1695", "has_questions": false, "keywords": "rome, gesu, il gesu, baroque, smarthistory, context travel, ignatius", "ka_url": "http://www.khanacademy.org/video/pozzo--st--ignatius-chapel--il-gesu--rome--commissioned-in-1695", "duration": 228, "translated_title": "Pozzo, Saint Ignatius Chapel, Il Gesù, 1695", "translated_description_html": "Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Gesù, Rome (commissioned in 1695). \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Théodon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker", "id": "671702331", "description_html": "Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Gesù, Rome (commissioned in 1695). \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Théodon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker", "title": "Pozzo, Saint Ignatius Chapel, Il Gesù, 1695", "progress_key": "v671702331", "edit_slug": "edit/v/671702331", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Gesù, Rome (commissioned in 1695). \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Théodon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu"}, "node_slug": "v/pozzo--st--ignatius-chapel--il-gesu--rome--commissioned-in-1695", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A3vkqYgJ93c.mp4/A3vkqYgJ93c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A3vkqYgJ93c.mp4/A3vkqYgJ93c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A3vkqYgJ93c.m3u8/A3vkqYgJ93c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A3vkqYgJ93c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702331", "sha": "2af88da9000813a860470eedc4afae6f3c2bbacc", "translated_description": "Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Gesù, Rome (commissioned in 1695). \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Théodon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/A3vkqYgJ93c/hqdefault.jpg", "youtube_id": "A3vkqYgJ93c", "content_kind": "Video", "readable_id": "pozzo--st--ignatius-chapel--il-gesu--rome--commissioned-in-1695"}, {"translated_youtube_id": "7ym7FWyCzKI", "relative_url": "/video/pozzo--glorification-of-saint-ignatius--ceiling-fresco-in-the-nave-of-sant-ignazio--rome--1691-94", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pozzo--glorification-of-saint-ignatius--ceiling-fresco-in-the-nave-of-sant-ignazio--rome--1691-94", "duration": 341, "translated_title": "Pozzo, Glorification of Saint Ignatius, Sant'Ignazio", "translated_description_html": "Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1175994508", "description_html": "Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Pozzo, Glorification of Saint Ignatius, Sant'Ignazio", "progress_key": "v1175994508", "edit_slug": "edit/v/1175994508", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pozzos-glorification-of-saint-ignatius"}, "node_slug": "v/pozzo--glorification-of-saint-ignatius--ceiling-fresco-in-the-nave-of-sant-ignazio--rome--1691-94", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-27T11:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7ym7FWyCzKI.mp4/7ym7FWyCzKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7ym7FWyCzKI.mp4/7ym7FWyCzKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7ym7FWyCzKI.m3u8/7ym7FWyCzKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7ym7FWyCzKI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1175994508", "sha": "6a711e674d2e9db15108b13801c7c1f7ce6bd7fe", "translated_description": "Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/7ym7FWyCzKI/hqdefault.jpg", "youtube_id": "7ym7FWyCzKI", "content_kind": "Video", "readable_id": "pozzo--glorification-of-saint-ignatius--ceiling-fresco-in-the-nave-of-sant-ignazio--rome--1691-94"}, {"translated_youtube_id": "YfW0v78aHXg", "relative_url": "/video/artemisia-gentileschi--self-portrait-as-the-allegory-of-painting--1638-39", "has_questions": false, "keywords": "Artemisia Gentileschi, Artemisia, Self-portrait, 1638, John Machado, Denise Johnson, Iconomaniacs, Baroque, Italy, Italian, Women Artists", "ka_url": "http://www.khanacademy.org/video/artemisia-gentileschi--self-portrait-as-the-allegory-of-painting--1638-39", "duration": 374, "translated_title": "Gentileschi, Self-portrait as the Allegory of Painting", "translated_description_html": "Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs", "id": "671539967", "description_html": "Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs", "title": "Gentileschi, Self-portrait as the Allegory of Painting", "progress_key": "v671539967", "edit_slug": "edit/v/671539967", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gentileschi-self-portrait"}, "node_slug": "v/artemisia-gentileschi--self-portrait-as-the-allegory-of-painting--1638-39", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YfW0v78aHXg.mp4/YfW0v78aHXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YfW0v78aHXg.mp4/YfW0v78aHXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YfW0v78aHXg.m3u8/YfW0v78aHXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YfW0v78aHXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539967", "sha": "3d314f64faf520174d53266cc41d8104b4a5903d", "translated_description": "Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs", "image_url": "https://img.youtube.com/vi/YfW0v78aHXg/hqdefault.jpg", "youtube_id": "YfW0v78aHXg", "content_kind": "Video", "readable_id": "artemisia-gentileschi--self-portrait-as-the-allegory-of-painting--1638-39"}, {"translated_youtube_id": "7Hc08dgjLrM", "relative_url": "/video/annibale-carracci--crucifixion--1583", "has_questions": false, "keywords": "Carracci, National Gallery, Baroque, art, art history, Smarthistory, Crucig", "ka_url": "http://www.khanacademy.org/video/annibale-carracci--crucifixion--1583", "duration": 603, "translated_title": "Carracci, Crucifixion & Lamentation", "translated_description_html": "Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)", "id": "671397711", "description_html": "Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)", "title": "Carracci, Crucifixion & Lamentation", "progress_key": "v671397711", "edit_slug": "edit/v/671397711", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/carracci-crucifixion-and-lamentation"}, "node_slug": "v/annibale-carracci--crucifixion--1583", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7Hc08dgjLrM.mp4/7Hc08dgjLrM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7Hc08dgjLrM.mp4/7Hc08dgjLrM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7Hc08dgjLrM.m3u8/7Hc08dgjLrM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7Hc08dgjLrM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671397711", "sha": "816ac9ab7e40ffb1d6d45efaf8bafefb36f23f41", "translated_description": "Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)", "image_url": "https://img.youtube.com/vi/7Hc08dgjLrM/hqdefault.jpg", "youtube_id": "7Hc08dgjLrM", "content_kind": "Video", "readable_id": "annibale-carracci--crucifixion--1583"}, {"translated_youtube_id": "DR9ad67Ftv0", "relative_url": "/video/carracci--palazzo-farnese-ceiling--1597-1606", "has_questions": false, "keywords": "Carracci, Rome, Farnese, art, art history, fresco", "ka_url": "http://www.khanacademy.org/video/carracci--palazzo-farnese-ceiling--1597-1606", "duration": 578, "translated_title": "Carracci, Ceiling of the Farnese Palace", "translated_description_html": "Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608", "id": "671459942", "description_html": "Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608", "title": "Carracci, Ceiling of the Farnese Palace", "progress_key": "v671459942", "edit_slug": "edit/v/671459942", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/carracci-farnese-ceiling"}, "node_slug": "v/carracci--palazzo-farnese-ceiling--1597-1606", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:12:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DR9ad67Ftv0.mp4/DR9ad67Ftv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DR9ad67Ftv0.mp4/DR9ad67Ftv0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DR9ad67Ftv0.m3u8/DR9ad67Ftv0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DR9ad67Ftv0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671459942", "sha": "50f78dc52d442bdf12c06291ab1d380039993c94", "translated_description": "Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608", "image_url": "https://img.youtube.com/vi/DR9ad67Ftv0/hqdefault.jpg", "youtube_id": "DR9ad67Ftv0", "content_kind": "Video", "readable_id": "carracci--palazzo-farnese-ceiling--1597-1606"}], "twitter_url": "", "translated_description": "Baroque painting, sculpture and architecture in Italy seems to miraculously unite the heavenly and the earthly to deepen the faith of believers. We’ll look at the utterly convincing illusions of heaven on the painted ceilings of Il Gesu and St. Ignazio, and the way Caravaggio painted biblical scenes with a gritty realism that makes them look as though they are taking place on the streets of Rome. And of course we explore the great genius of the period, Bernini, who used every means at his disposal—painting, sculpture and architecture—in works like The Ecstasy of St. Theresa and the Cathedra Petri to bring the viewer closer to the divine.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Baroque painting, sculpture and architecture in Italy seems to miraculously unite the heavenly and the earthly to deepen the faith of believers. We’ll look at the utterly convincing illusions of heaven on the painted ceilings of Il Gesu and St. Ignazio, and the way Caravaggio painted biblical scenes with a gritty realism that makes them look as though they are taking place on the streets of Rome. And of course we explore the great genius of the period, Bernini, who used every means at his disposal—painting, sculpture and architecture—in works like The Ecstasy of St. Theresa and the Cathedra Petri to bring the viewer closer to the divine.", "x_pos": 0.0, "node_slug": "italy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T19:38:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc073d97d", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/italy", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/italy", "slug": "italy", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4d0c01ccc6f7eb6a60fd5cf5b5ea937609e14069", "standalone_title": "Art History: Italy", "y_pos": 0.0, "current_revision_key": "4d0c01ccc6f7eb6a60fd5cf5b5ea937609e14069", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/flanders-1", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/flanders-1", "translated_standalone_title": "Art History: Flanders", "translated_title": "Flanders", "gplus_url": "", "id": "xea43dd8d", "old_key_name": "2obVwVJWN9hiZFthEAj7Up81Z5ZjRIvYsab4ayRk", "hide": false, "title": "Flanders", "child_data": [{"kind": "Video", "id": 1159741563}, {"kind": "Video", "id": 671691300}, {"kind": "Video", "id": 671622665}, {"kind": "Exercise", "id": "x26420a2a"}], "children": [{"translated_youtube_id": "t9_lemSlr1o", "relative_url": "/video/peter-paul-rubens--the-rape-of-the-daughters-of-leucippus", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/peter-paul-rubens--the-rape-of-the-daughters-of-leucippus", "duration": 254, "translated_title": "Rubens, The Rape of the Daughters of Leucippus", "translated_description_html": "Sir Peter Paul Rubens, The Rape of the Daughters of Leucippus, 1617-18, oil on canvas, 224 x 210.5 cm, Alte Pinakothek, Munich\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "1159741563", "description_html": "Sir Peter Paul Rubens, The Rape of the Daughters of Leucippus, 1617-18, oil on canvas, 224 x 210.5 cm, Alte Pinakothek, Munich\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Rubens, The Rape of the Daughters of Leucippus", "progress_key": "v1159741563", "edit_slug": "edit/v/1159741563", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sir Peter Paul Rubens, The Rape of the Daughters of Leucippus, 1617-18, oil on canvas, 224 x 210.5 cm, Alte Pinakothek, Munich\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/peter-paul-rubens-the-rape-of-the-daughters-of-leucippus"}, "node_slug": "v/peter-paul-rubens--the-rape-of-the-daughters-of-leucippus", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-19T19:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t9_lemSlr1o.mp4/t9_lemSlr1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t9_lemSlr1o.mp4/t9_lemSlr1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t9_lemSlr1o.m3u8/t9_lemSlr1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t9_lemSlr1o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159741563", "sha": "1dfc72d175056ab86f766a604133df45e967dcf5", "translated_description": "Sir Peter Paul Rubens, The Rape of the Daughters of Leucippus, 1617-18, oil on canvas, 224 x 210.5 cm, Alte Pinakothek, Munich\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/t9_lemSlr1o/hqdefault.jpg", "youtube_id": "t9_lemSlr1o", "content_kind": "Video", "readable_id": "peter-paul-rubens--the-rape-of-the-daughters-of-leucippus"}, {"translated_youtube_id": "fbwW9mHFcgk", "relative_url": "/video/rubens--arrival--or-disembarkation--of-marie-de-medici-at-marseilles-1621-25", "has_questions": false, "keywords": "Rubens, Marie de Medici, Smarthistory, Art History, Louvre", "ka_url": "http://www.khanacademy.org/video/rubens--arrival--or-disembarkation--of-marie-de-medici-at-marseilles-1621-25", "duration": 324, "translated_title": "Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles, Medici Cycle", "translated_description_html": "Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671691300", "description_html": "Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles, Medici Cycle", "progress_key": "v671691300", "edit_slug": "edit/v/671691300", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/arrival-of-marie-de-medici-at-marseilles-medici-cycle"}, "node_slug": "v/rubens--arrival--or-disembarkation--of-marie-de-medici-at-marseilles-1621-25", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fbwW9mHFcgk.mp4/fbwW9mHFcgk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fbwW9mHFcgk.mp4/fbwW9mHFcgk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fbwW9mHFcgk.m3u8/fbwW9mHFcgk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fbwW9mHFcgk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671691300", "sha": "3777d9aa77a021daed7681d0f158292fa1b8925a", "translated_description": "Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/fbwW9mHFcgk/hqdefault.jpg", "youtube_id": "fbwW9mHFcgk", "content_kind": "Video", "readable_id": "rubens--arrival--or-disembarkation--of-marie-de-medici-at-marseilles-1621-25"}, {"translated_youtube_id": "K9iMsmhBOjk", "relative_url": "/video/peter-paul-rubens--the-consequences-of-war--1638-39", "has_questions": false, "keywords": "Peter Paul Rubens, Rubens, The Consequences of War, 1638, oil on canvas, Palatine Gallery, Palazzo Pitti, Florence, Medici, Dipolmacy, Thirty Years War, War, Baroque Painting", "ka_url": "http://www.khanacademy.org/video/peter-paul-rubens--the-consequences-of-war--1638-39", "duration": 235, "translated_title": "Rubens, the Consequences of War", "translated_description_html": "Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html", "id": "671622665", "description_html": "Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html", "title": "Rubens, the Consequences of War", "progress_key": "v671622665", "edit_slug": "edit/v/671622665", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/peter-paul-rubens-the-consequences-of-war"}, "node_slug": "v/peter-paul-rubens--the-consequences-of-war--1638-39", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K9iMsmhBOjk.mp4/K9iMsmhBOjk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K9iMsmhBOjk.mp4/K9iMsmhBOjk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K9iMsmhBOjk.m3u8/K9iMsmhBOjk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K9iMsmhBOjk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622665", "sha": "6cd02dcf9b3c72b0e0b20a3b7332c6f8404bc3a5", "translated_description": "Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html", "image_url": "https://img.youtube.com/vi/K9iMsmhBOjk/hqdefault.jpg", "youtube_id": "K9iMsmhBOjk", "content_kind": "Video", "readable_id": "peter-paul-rubens--the-consequences-of-war--1638-39"}], "twitter_url": "", "translated_description": "This tutorial focuses on the art of Peter Paul Rubens, whose work was in high demand by nearly every King, Queen and aristocrat in Catholic Europe (good thing he had a huge workshop!). Rubens was a master of color, dramatic compositions, and movement. Although he was from Northern Europe, he traveled to Italy and absorbed the art of the Renaissance, of classical antiquity, and of Caravaggio. He painted nearly every type of subject—landscapes, portraits, mythology, and history paintings.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial focuses on the art of Peter Paul Rubens, whose work was in high demand by nearly every King, Queen and aristocrat in Catholic Europe (good thing he had a huge workshop!). Rubens was a master of color, dramatic compositions, and movement. Although he was from Northern Europe, he traveled to Italy and absorbed the art of the Renaissance, of classical antiquity, and of Caravaggio. He painted nearly every type of subject—landscapes, portraits, mythology, and history paintings.", "x_pos": 0.0, "node_slug": "flanders-1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axea43dd8d", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/flanders-1", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/flanders-1", "slug": "flanders-1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "11ae4fd1d979f99fc5853d94550d3fec5a48f0a5", "standalone_title": "Art History: Flanders", "y_pos": 0.0, "current_revision_key": "11ae4fd1d979f99fc5853d94550d3fec5a48f0a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/holland", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/holland", "translated_standalone_title": "Art History: Holland", "translated_title": "Holland", "gplus_url": "", "id": "x0665628b", "old_key_name": "YMAJS6n5d2hvxmVUWXtN3qiIVlL_0-rfeK8ml6F_", "hide": false, "title": "Holland", "child_data": [{"kind": "Video", "id": "x67786c28"}, {"kind": "Video", "id": "x7f6822bf"}, {"kind": "Video", "id": 708138866}, {"kind": "Video", "id": 671686569}, {"kind": "Video", "id": 671622662}, {"kind": "Video", "id": 671622663}, {"kind": "Video", "id": 671707171}, {"kind": "Article", "id": "xb323cbe4"}, {"kind": "Video", "id": 708138867}, {"kind": "Video", "id": 671686574}, {"kind": "Exercise", "id": "xd95f6f47"}], "children": [{"translated_youtube_id": "mVkAvYhgW8c", "relative_url": "/video/Vermeer-the-art-of-painting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Vermeer-the-art-of-painting", "duration": 296, "translated_title": "Johannes Vermeer, The Art of Painting", "translated_description_html": "

Johannes Vermeer, The Art of Painting<\/em>, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)<\/p>


<\/p>

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>", "id": "x67786c28", "description_html": "

Johannes Vermeer, The Art of Painting<\/em>, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)<\/p>


<\/p>

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>", "title": "Johannes Vermeer, The Art of Painting", "progress_key": "vx67786c28", "edit_slug": "edit/v/x67786c28", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Johannes Vermeer, The Art of Painting, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/vermeers-the-art-of-painting.html"}, "node_slug": "v/Vermeer-the-art-of-painting", "deleted": false, "backup_timestamp": "2013-09-29T12:27:32Z", "date_added": "2013-09-28T19:08:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mVkAvYhgW8c.mp4/mVkAvYhgW8c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mVkAvYhgW8c.mp4/mVkAvYhgW8c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mVkAvYhgW8c.m3u8/mVkAvYhgW8c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mVkAvYhgW8c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx67786c28", "sha": "b69cb3190c0fd42f94d451d1ed31419253f3e74d", "translated_description": "Johannes Vermeer, The Art of Painting, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/mVkAvYhgW8c/hqdefault.jpg", "youtube_id": "mVkAvYhgW8c", "content_kind": "Video", "readable_id": "Vermeer-the-art-of-painting"}, {"translated_youtube_id": "WO1I1dN0DaA", "relative_url": "/video/vermeer-woman-with-balance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vermeer-woman-with-balance", "duration": 331, "translated_title": "Johannes Vermeer, Woman Holding a Balance, 1664", "translated_description_html": "

Johannes Vermeer, Woman Holding a Balance<\/em>, 1664, oil on canvas, 42.5 cm × 38 cm / 16.7 in × 15 in (National Gallery of Art)<\/p>


<\/p>

Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>", "id": "x7f6822bf", "description_html": "

Johannes Vermeer, Woman Holding a Balance<\/em>, 1664, oil on canvas, 42.5 cm × 38 cm / 16.7 in × 15 in (National Gallery of Art)<\/p>


<\/p>

Speakers: Dr. Steven Zucker and Dr. Beth Harris<\/p>", "title": "Johannes Vermeer, Woman Holding a Balance, 1664", "progress_key": "vx7f6822bf", "edit_slug": "edit/v/x7f6822bf", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Johannes Vermeer, Woman Holding a Balance, 1664, oil on canvas, 42.5 cm × 38 cm / 16.7 in × 15 in (National Gallery of Art)Speakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy..org/vermeers-woman-holding-a-balance.html"}, "node_slug": "v/vermeer-woman-with-balance", "deleted": false, "backup_timestamp": "2013-10-04T23:55:03Z", "date_added": "2013-10-04T23:55:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WO1I1dN0DaA.mp4/WO1I1dN0DaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WO1I1dN0DaA.mp4/WO1I1dN0DaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WO1I1dN0DaA.m3u8/WO1I1dN0DaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WO1I1dN0DaA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7f6822bf", "sha": "d46d71dd6e96d3f3fd25a9af7be8accf8328929d", "translated_description": "Johannes Vermeer, Woman Holding a Balance, 1664, oil on canvas, 42.5 cm × 38 cm / 16.7 in × 15 in (National Gallery of Art)Speakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/WO1I1dN0DaA/hqdefault.jpg", "youtube_id": "WO1I1dN0DaA", "content_kind": "Video", "readable_id": "vermeer-woman-with-balance"}, {"translated_youtube_id": "uvA6YY4yHtM", "relative_url": "/video/jan-vermeer--the-glass-of-wine--c--1661", "has_questions": false, "keywords": "Vermeer, Wine, GAP, Jan Vermeer, Glass of Wine, 1661, Gemäldegalerie, Dutch, Berlin, Baroque, Genre, Interior, Light, Google Art Project, Art History, Smarthistory, Khan Academy, OER, Painting, Netherlands", "ka_url": "http://www.khanacademy.org/video/jan-vermeer--the-glass-of-wine--c--1661", "duration": 257, "translated_title": "Vermeer, The Glass of Wine", "translated_description_html": "Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708138866", "description_html": "Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Vermeer, The Glass of Wine", "progress_key": "v708138866", "edit_slug": "edit/v/708138866", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/vermeer-the-glass-of-wine"}, "node_slug": "v/jan-vermeer--the-glass-of-wine--c--1661", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uvA6YY4yHtM.mp4/uvA6YY4yHtM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uvA6YY4yHtM.mp4/uvA6YY4yHtM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uvA6YY4yHtM.m3u8/uvA6YY4yHtM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uvA6YY4yHtM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708138866", "sha": "b9a33df0f5f7382eb531349a2f23afe1297c9e22", "translated_description": "Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/uvA6YY4yHtM/hqdefault.jpg", "youtube_id": "uvA6YY4yHtM", "content_kind": "Video", "readable_id": "jan-vermeer--the-glass-of-wine--c--1661"}, {"translated_youtube_id": "_38xl7p4VaM", "relative_url": "/video/vermeer--young-woman-with-a-water-pitcher---c--1662", "has_questions": false, "keywords": "art, art history, vermeer", "ka_url": "http://www.khanacademy.org/video/vermeer--young-woman-with-a-water-pitcher---c--1662", "duration": 289, "translated_title": "Vermeer, Young Woman with a Water Pitcher", "translated_description_html": "Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html", "id": "671686569", "description_html": "Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html", "title": "Vermeer, Young Woman with a Water Pitcher", "progress_key": "v671686569", "edit_slug": "edit/v/671686569", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/baroque-holland"}, "node_slug": "v/vermeer--young-woman-with-a-water-pitcher---c--1662", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_38xl7p4VaM.mp4/_38xl7p4VaM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_38xl7p4VaM.mp4/_38xl7p4VaM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_38xl7p4VaM.m3u8/_38xl7p4VaM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_38xl7p4VaM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686569", "sha": "7cf88d1f172421028ecbb9f9d43b25edb8e832c6", "translated_description": "Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html", "image_url": "https://img.youtube.com/vi/_38xl7p4VaM/hqdefault.jpg", "youtube_id": "_38xl7p4VaM", "content_kind": "Video", "readable_id": "vermeer--young-woman-with-a-water-pitcher---c--1662"}, {"translated_youtube_id": "wsL4Uh0BrQw", "relative_url": "/video/rembrandt-van-rijn--bathsheba-at-her-bath--1654", "has_questions": false, "keywords": "rembrandt, bathsheba, Louvre, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/rembrandt-van-rijn--bathsheba-at-her-bath--1654", "duration": 243, "translated_title": "Rembrandt, Bathsheba at her Bath", "translated_description_html": "Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Musée du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671622662", "description_html": "Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Musée du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Rembrandt, Bathsheba at her Bath", "progress_key": "v671622662", "edit_slug": "edit/v/671622662", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Musée du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rembrandts-bathsheba-at-her-bath"}, "node_slug": "v/rembrandt-van-rijn--bathsheba-at-her-bath--1654", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wsL4Uh0BrQw.mp4/wsL4Uh0BrQw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wsL4Uh0BrQw.mp4/wsL4Uh0BrQw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wsL4Uh0BrQw.m3u8/wsL4Uh0BrQw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wsL4Uh0BrQw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622662", "sha": "e792fc053d144f6daf4c6ef73a06b414af840129", "translated_description": "Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Musée du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/wsL4Uh0BrQw/hqdefault.jpg", "youtube_id": "wsL4Uh0BrQw", "content_kind": "Video", "readable_id": "rembrandt-van-rijn--bathsheba-at-her-bath--1654"}, {"translated_youtube_id": "xSixUm1cXSw", "relative_url": "/video/rembrandt--a-girl-at-a-window--1645", "has_questions": false, "keywords": "Rembrandt, Dulwich Picture Gallery, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/rembrandt--a-girl-at-a-window--1645", "duration": 170, "translated_title": "Rembrandt, Girl at a Window", "translated_description_html": "Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik", "id": "671622663", "description_html": "Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik", "title": "Rembrandt, Girl at a Window", "progress_key": "v671622663", "edit_slug": "edit/v/671622663", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rembrandts-girl-at-a-window"}, "node_slug": "v/rembrandt--a-girl-at-a-window--1645", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-03-20T19:12:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.mp4/xSixUm1cXSw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.mp4/xSixUm1cXSw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.m3u8/xSixUm1cXSw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xSixUm1cXSw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622663", "sha": "7de19eab8bc02ede0374075d25bf6278e1f96822", "translated_description": "Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik", "image_url": "https://img.youtube.com/vi/xSixUm1cXSw/hqdefault.jpg", "youtube_id": "xSixUm1cXSw", "content_kind": "Video", "readable_id": "rembrandt--a-girl-at-a-window--1645"}, {"translated_youtube_id": "7PA0T4_KYC0", "relative_url": "/video/rembrandt--the-three-crosses--1653", "has_questions": false, "keywords": "Rembrandt, Smarthistory, Art History, Etching, Baroque, Holland", "ka_url": "http://www.khanacademy.org/video/rembrandt--the-three-crosses--1653", "duration": 623, "translated_title": "Rembrandt, The Three Crosses", "translated_description_html": "Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html", "id": "671707171", "description_html": "Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html", "title": "Rembrandt, The Three Crosses", "progress_key": "v671707171", "edit_slug": "edit/v/671707171", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rembrandt-three-crosses"}, "node_slug": "v/rembrandt--the-three-crosses--1653", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7PA0T4_KYC0.mp4/7PA0T4_KYC0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7PA0T4_KYC0.mp4/7PA0T4_KYC0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7PA0T4_KYC0.m3u8/7PA0T4_KYC0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7PA0T4_KYC0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671707171", "sha": "5723153699146dfd6f2f199dd7469965ab08dcb5", "translated_description": "Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html", "image_url": "https://img.youtube.com/vi/7PA0T4_KYC0/hqdefault.jpg", "youtube_id": "7PA0T4_KYC0", "content_kind": "Video", "readable_id": "rembrandt--the-three-crosses--1653"}, {"translated_youtube_id": "iQ5uG6ryCa4", "relative_url": "/video/frans-hals--singing-boy-with-flute--c--1623", "has_questions": false, "keywords": "Hals, Frans Hals, Singing, Boy, Flute GAP, Google Art Project, OER, Khan Academy, Smarthistory, Art History, Gemäldegalerie, Dutch, Painting, Genre, 1623, Singing Boy with Flute", "ka_url": "http://www.khanacademy.org/video/frans-hals--singing-boy-with-flute--c--1623", "duration": 136, "translated_title": "Hals, Singing Boy with Flute", "translated_description_html": "Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "id": "708138867", "description_html": "Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "title": "Hals, Singing Boy with Flute", "progress_key": "v708138867", "edit_slug": "edit/v/708138867", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hals-singing-boy-with-flute"}, "node_slug": "v/frans-hals--singing-boy-with-flute--c--1623", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-07T08:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iQ5uG6ryCa4.mp4/iQ5uG6ryCa4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iQ5uG6ryCa4.mp4/iQ5uG6ryCa4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iQ5uG6ryCa4.m3u8/iQ5uG6ryCa4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iQ5uG6ryCa4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708138867", "sha": "45460b246ab098e112cb6a275d7541a0383ab346", "translated_description": "Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gemäldegalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/iQ5uG6ryCa4/hqdefault.jpg", "youtube_id": "iQ5uG6ryCa4", "content_kind": "Video", "readable_id": "frans-hals--singing-boy-with-flute--c--1623"}, {"translated_youtube_id": "WOnOq9YIrWI", "relative_url": "/video/jan-van-huysum--vase-with-flowers--c--1718-20", "has_questions": false, "keywords": "Still Life, Holland, Dutch, Art History, Smarthistory, Dulwich Picture Gallery", "ka_url": "http://www.khanacademy.org/video/jan-van-huysum--vase-with-flowers--c--1718-20", "duration": 177, "translated_title": "Van Huysum, Vase with Flowers", "translated_description_html": "Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in. (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik", "id": "671686574", "description_html": "Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in. (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik", "title": "Van Huysum, Vase with Flowers", "progress_key": "v671686574", "edit_slug": "edit/v/671686574", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in. (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-huysum-vase-with-flowers"}, "node_slug": "v/jan-van-huysum--vase-with-flowers--c--1718-20", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WOnOq9YIrWI.mp4/WOnOq9YIrWI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WOnOq9YIrWI.mp4/WOnOq9YIrWI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WOnOq9YIrWI.m3u8/WOnOq9YIrWI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WOnOq9YIrWI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671686574", "sha": "2c810c8014fd02db342c8f09ffe3b937e8e37af6", "translated_description": "Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in. (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik", "image_url": "https://img.youtube.com/vi/WOnOq9YIrWI/hqdefault.jpg", "youtube_id": "WOnOq9YIrWI", "content_kind": "Video", "readable_id": "jan-van-huysum--vase-with-flowers--c--1718-20"}], "twitter_url": "", "translated_description": "In the Protestant Dutch Republic of the 17th century there was an enormous demand for art from a wide cross-section of the public. This was a very good thing, since the institution that had been the main patron for art—the Church—was no longer in the business of commissioning art due to the Protestant Reformation. Dutch artists sought out new subjects of interest to their new clientele, scenes of everyday life (genre paintings), landscapes and still-lifes. There was also an enormous market for portraits. One of the greatest artist of this period, Rembrandt, made his name as a portrait painter, but was also a printmaker, and his work also includes moving interpretations of biblical subjects (though from a Protestant perspective).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the Protestant Dutch Republic of the 17th century there was an enormous demand for art from a wide cross-section of the public. This was a very good thing, since the institution that had been the main patron for art—the Church—was no longer in the business of commissioning art due to the Protestant Reformation. Dutch artists sought out new subjects of interest to their new clientele, scenes of everyday life (genre paintings), landscapes and still-lifes. There was also an enormous market for portraits. One of the greatest artist of this period, Rembrandt, made his name as a portrait painter, but was also a printmaker, and his work also includes moving interpretations of biblical subjects (though from a Protestant perspective).", "x_pos": 0.0, "node_slug": "holland", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-28T19:09:42Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0665628b", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/holland", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/holland", "slug": "holland", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ad1e6cb029defafbd9dcf353cd31d4fc1957ebc7", "standalone_title": "Art History: Holland", "y_pos": 0.0, "current_revision_key": "ad1e6cb029defafbd9dcf353cd31d4fc1957ebc7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/spain", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/spain", "translated_standalone_title": "Art History: Spain", "translated_title": "Spain", "gplus_url": "", "id": "x51288d14", "old_key_name": "zKGOzcb7l_kkFRStFvtN9CCxYnqdnTxUWrtofQMU", "hide": false, "title": "Spain", "child_data": [{"kind": "Video", "id": 671702330}, {"kind": "Video", "id": 671622664}, {"kind": "Video", "id": 671632343}, {"kind": "Video", "id": 671563218}, {"kind": "Video", "id": "x05723c67"}, {"kind": "Exercise", "id": "x6e0a511f"}], "children": [{"translated_youtube_id": "IiTtGENiVOA", "relative_url": "/video/vel-zquez--las-meninas--c--1656", "has_questions": false, "keywords": "prado, art history, smarthistory, velazques, meninas, baroque, madrid", "ka_url": "http://www.khanacademy.org/video/vel-zquez--las-meninas--c--1656", "duration": 360, "translated_title": "Velázquez's Las Meninas", "translated_description_html": "Diego Rodríguez de Silva y Velázquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org", "id": "671702330", "description_html": "Diego Rodríguez de Silva y Velázquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org", "title": "Velázquez's Las Meninas", "progress_key": "v671702330", "edit_slug": "edit/v/671702330", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Diego Rodríguez de Silva y Velázquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Velazquez-Las-Meninas"}, "node_slug": "v/vel-zquez--las-meninas--c--1656", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IiTtGENiVOA.mp4/IiTtGENiVOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IiTtGENiVOA.mp4/IiTtGENiVOA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IiTtGENiVOA.m3u8/IiTtGENiVOA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IiTtGENiVOA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671702330", "sha": "089d2d59278edac4b7e331031eee88e5859db6f6", "translated_description": "Diego Rodríguez de Silva y Velázquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org", "image_url": "https://img.youtube.com/vi/IiTtGENiVOA/hqdefault.jpg", "youtube_id": "IiTtGENiVOA", "content_kind": "Video", "readable_id": "vel-zquez--las-meninas--c--1656"}, {"translated_youtube_id": "dNoeLF6I52s", "relative_url": "/video/vel-zquez--los-borrachos--the-drunks---1628-1629", "has_questions": false, "keywords": "art history, Smarthistory, Velazquez, Madrid, Prado, Spanish art, Baroque art", "ka_url": "http://www.khanacademy.org/video/vel-zquez--los-borrachos--the-drunks---1628-1629", "duration": 288, "translated_title": "Velázquez Los Borrachos or the Triumph of Bacchus", "translated_description_html": "Diego Rodríguez de Silva y Velázquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671622664", "description_html": "Diego Rodríguez de Silva y Velázquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Velázquez Los Borrachos or the Triumph of Bacchus", "progress_key": "v671622664", "edit_slug": "edit/v/671622664", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Diego Rodríguez de Silva y Velázquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/los-borrachos-or-the-triumph-of-bacchus"}, "node_slug": "v/vel-zquez--los-borrachos--the-drunks---1628-1629", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dNoeLF6I52s.mp4/dNoeLF6I52s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dNoeLF6I52s.mp4/dNoeLF6I52s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dNoeLF6I52s.m3u8/dNoeLF6I52s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dNoeLF6I52s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671622664", "sha": "eca15c5a00a510407920dfe511bec2029a830d98", "translated_description": "Diego Rodríguez de Silva y Velázquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/dNoeLF6I52s/hqdefault.jpg", "youtube_id": "dNoeLF6I52s", "content_kind": "Video", "readable_id": "vel-zquez--los-borrachos--the-drunks---1628-1629"}, {"translated_youtube_id": "qoHva5i85Qo", "relative_url": "/video/vel-zquez--vulcan-s-forge--c--1630", "has_questions": false, "keywords": "Velasquez, VulcanForge, Smarthistory, Art History, Baroque", "ka_url": "http://www.khanacademy.org/video/vel-zquez--vulcan-s-forge--c--1630", "duration": 203, "translated_title": "Velázquez, Vulcan's Forge", "translated_description_html": "Diego Velázquez, Vulcan's Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html", "id": "671632343", "description_html": "Diego Velázquez, Vulcan's Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html", "title": "Velázquez, Vulcan's Forge", "progress_key": "v671632343", "edit_slug": "edit/v/671632343", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Diego Velázquez, Vulcan's Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/velazquez-vulcans-forge"}, "node_slug": "v/vel-zquez--vulcan-s-forge--c--1630", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-03-20T19:12:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qoHva5i85Qo.mp4/qoHva5i85Qo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qoHva5i85Qo.mp4/qoHva5i85Qo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qoHva5i85Qo.m3u8/qoHva5i85Qo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qoHva5i85Qo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671632343", "sha": "e20bfe2b254e6a611917a71ad2d69090f5f5b75b", "translated_description": "Diego Velázquez, Vulcan's Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html", "image_url": "https://img.youtube.com/vi/qoHva5i85Qo/hqdefault.jpg", "youtube_id": "qoHva5i85Qo", "content_kind": "Video", "readable_id": "vel-zquez--vulcan-s-forge--c--1630"}, {"translated_youtube_id": "xz5DhwMsS1A", "relative_url": "/video/ribera--the-martyrdom-of-saint-philip--1639", "has_questions": false, "keywords": "ribera, prado, madrid, baroque, Saint Philip, art, art history, smarthistory, painting, Spain", "ka_url": "http://www.khanacademy.org/video/ribera--the-martyrdom-of-saint-philip--1639", "duration": 215, "translated_title": "Ribera, Martyrdom of Saint Philip", "translated_description_html": "Jusepe (José) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, \"Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted\" (Don Juan , xiii. 71).", "id": "671563218", "description_html": "Jusepe (José) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, \"Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted\" (Don Juan , xiii. 71).", "title": "Ribera, Martyrdom of Saint Philip", "progress_key": "v671563218", "edit_slug": "edit/v/671563218", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jusepe (José) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, \"Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted\" (Don Juan , xiii. 71).", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/riberas-martyrdom-of-st-philip"}, "node_slug": "v/ribera--the-martyrdom-of-saint-philip--1639", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xz5DhwMsS1A.mp4/xz5DhwMsS1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xz5DhwMsS1A.mp4/xz5DhwMsS1A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xz5DhwMsS1A.m3u8/xz5DhwMsS1A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xz5DhwMsS1A&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563218", "sha": "a0d2a91c0b3d3fdee956a9f1227d255abebbb555", "translated_description": "Jusepe (José) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, \"Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted\" (Don Juan , xiii. 71).", "image_url": "https://img.youtube.com/vi/xz5DhwMsS1A/hqdefault.jpg", "youtube_id": "xz5DhwMsS1A", "content_kind": "Video", "readable_id": "ribera--the-martyrdom-of-saint-philip--1639"}, {"translated_youtube_id": "9Wb-T1F033Q", "relative_url": "/video/making-spanish-polychrome-sculpture", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-spanish-polychrome-sculpture", "duration": 723, "translated_title": "Making a Spanish polychrome sculpture", "translated_description_html": "

17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—<\/em>painting and incising to portray silk fabrics, and encarnaciones—<\/em>for the hair and skin. Love art? Follow us on Google+<\/a><\/p>", "id": "x05723c67", "description_html": "

17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—<\/em>painting and incising to portray silk fabrics, and encarnaciones—<\/em>for the hair and skin. Love art? Follow us on Google+<\/a><\/p>", "title": "Making a Spanish polychrome sculpture", "progress_key": "vx05723c67", "edit_slug": "edit/v/x05723c67", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—painting and incising to portray silk fabrics, and encarnaciones—for the hair and skin. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-spanish-polychrome-sculpture", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.mp4/9Wb-T1F033Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.mp4/9Wb-T1F033Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.m3u8/9Wb-T1F033Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Wb-T1F033Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx05723c67", "sha": "50ff8759ebd85de9ffc38ccfef451e490ed5f6e5", "translated_description": "17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—painting and incising to portray silk fabrics, and encarnaciones—for the hair and skin. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/9Wb-T1F033Q/hqdefault.jpg", "youtube_id": "9Wb-T1F033Q", "content_kind": "Video", "readable_id": "making-spanish-polychrome-sculpture"}], "twitter_url": "", "translated_description": "The main focus of this tutorial, and a leading artist at this time is the great Diego Velazquez, who spent most of his career as the court painter to the King of Spain painting official portraits. But in the hands of Velazquez, even mundane portraits became masterpieces of brushwork and color. His early work was influenced by the realism of Caravaggio. Get up close to the princess in his later masterpiece, Las Meninas (The Maids of Honor), and you’ll see broad brushstrokes of red, pink, black and white, but step back and they magically resolve to create a perfect illusion of the silk of her dress and the light moving across her face and hair. No other artist, except perhaps Titian and Rubens, revealed so honestly the alchemy of painting—how paint can be turned into reality.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The main focus of this tutorial, and a leading artist at this time is the great Diego Velazquez, who spent most of his career as the court painter to the King of Spain painting official portraits. But in the hands of Velazquez, even mundane portraits became masterpieces of brushwork and color. His early work was influenced by the realism of Caravaggio. Get up close to the princess in his later masterpiece, Las Meninas (The Maids of Honor), and you’ll see broad brushstrokes of red, pink, black and white, but step back and they magically resolve to create a perfect illusion of the silk of her dress and the light moving across her face and hair. No other artist, except perhaps Titian and Rubens, revealed so honestly the alchemy of painting—how paint can be turned into reality.", "x_pos": 0.0, "node_slug": "spain", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax51288d14", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/spain", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/spain", "slug": "spain", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ab9ff9eacd9f2643dee434968b91ea818f725da8", "standalone_title": "Art History: Spain", "y_pos": 0.0, "current_revision_key": "ab9ff9eacd9f2643dee434968b91ea818f725da8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1600-1700-the-baroque/france", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1600-1700-the-baroque/france", "translated_standalone_title": "Art History: France", "translated_title": "France", "gplus_url": "", "id": "x23e591e8", "old_key_name": "75FMd9jsmUlscGxStYe5Iy535E-yN75uMZEQAfZM", "hide": false, "title": "France", "child_data": [{"kind": "Video", "id": "xe0b728b7"}, {"kind": "Video", "id": 719786821}, {"kind": "Video", "id": 671711122}, {"kind": "Exercise", "id": "xf3585b7d"}], "children": [{"translated_youtube_id": "dgsogHXtwyA", "relative_url": "/video/poussin-et-in-arcadia", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/poussin-et-in-arcadia", "duration": 123, "translated_title": "Nicolas Poussin, Et in Arcadia Ego, 1637-38", "translated_description_html": "

oil on canvas, 87 x 120 cm (Musée du Louvre)<\/p>


<\/p>

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>", "id": "xe0b728b7", "description_html": "

oil on canvas, 87 x 120 cm (Musée du Louvre)<\/p>


<\/p>

Speakers: Dr. Steven Zucker & Dr. Beth Harris<\/p>", "title": "Nicolas Poussin, Et in Arcadia Ego, 1637-38", "progress_key": "vxe0b728b7", "edit_slug": "edit/v/xe0b728b7", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "oil on canvas, 87 x 120 cm (Musée du Louvre)Speakers: Dr. Steven Zucker & Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Poussin-Et-in-Arcadia-Ego.html"}, "node_slug": "v/poussin-et-in-arcadia", "deleted": false, "backup_timestamp": "2013-09-27T16:45:49Z", "date_added": "2013-09-26T18:08:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dgsogHXtwyA.mp4/dgsogHXtwyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dgsogHXtwyA.mp4/dgsogHXtwyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dgsogHXtwyA.m3u8/dgsogHXtwyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dgsogHXtwyA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe0b728b7", "sha": "c72793bebb53dea019fff31a1477febfdcfe1559", "translated_description": "oil on canvas, 87 x 120 cm (Musée du Louvre)Speakers: Dr. Steven Zucker & Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/dgsogHXtwyA/hqdefault.jpg", "youtube_id": "dgsogHXtwyA", "content_kind": "Video", "readable_id": "poussin-et-in-arcadia"}, {"translated_youtube_id": "H3uBAVI4xC4", "relative_url": "/video/nicolas-poussin--landscape-with-saint-john-on-patmos--1640", "has_questions": false, "keywords": "Nicolas Poussin, Poussin, Landscape, Saint John, St. John, Patmos, 1640, Art Institute of Chicago, Evangelist, Classical, Stoic, Neo-Stoicism, Rome, Chicago, French, Baroque, art, painting, art history, smarthistory, Khan Academy, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/nicolas-poussin--landscape-with-saint-john-on-patmos--1640", "duration": 306, "translated_title": "Poussin, Landscape with St. John", "translated_description_html": "Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)", "id": "719786821", "description_html": "Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)", "title": "Poussin, Landscape with St. John", "progress_key": "v719786821", "edit_slug": "edit/v/719786821", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/poussin"}, "node_slug": "v/nicolas-poussin--landscape-with-saint-john-on-patmos--1640", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H3uBAVI4xC4.mp4/H3uBAVI4xC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H3uBAVI4xC4.mp4/H3uBAVI4xC4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H3uBAVI4xC4.m3u8/H3uBAVI4xC4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H3uBAVI4xC4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786821", "sha": "42eadb99fb41843572fff7c195db32fafc40dc43", "translated_description": "Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/H3uBAVI4xC4/hqdefault.jpg", "youtube_id": "H3uBAVI4xC4", "content_kind": "Video", "readable_id": "nicolas-poussin--landscape-with-saint-john-on-patmos--1640"}, {"translated_youtube_id": "ZSh1ksh1iO4", "relative_url": "/video/antoine-or-louis-le-nain--peasant-family-in-an-interior--2nd-quarter-of-the-17th-century", "has_questions": false, "keywords": "LeNain, Smarthistory, Art History, Louvre", "ka_url": "http://www.khanacademy.org/video/antoine-or-louis-le-nain--peasant-family-in-an-interior--2nd-quarter-of-the-17th-century", "duration": 192, "translated_title": "Antoine or Louis Le Nain, Peasant Family in an Interior", "translated_description_html": "Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Musée du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671711122", "description_html": "Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Musée du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Antoine or Louis Le Nain, Peasant Family in an Interior", "progress_key": "v671711122", "edit_slug": "edit/v/671711122", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Musée du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/peasant-family-in-an-interior.html"}, "node_slug": "v/antoine-or-louis-le-nain--peasant-family-in-an-interior--2nd-quarter-of-the-17th-century", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZSh1ksh1iO4.mp4/ZSh1ksh1iO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZSh1ksh1iO4.mp4/ZSh1ksh1iO4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZSh1ksh1iO4.m3u8/ZSh1ksh1iO4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZSh1ksh1iO4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711122", "sha": "4fc521036d73f709d0d79097e1d773420f95a4e6", "translated_description": "Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Musée du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/ZSh1ksh1iO4/hqdefault.jpg", "youtube_id": "ZSh1ksh1iO4", "content_kind": "Video", "readable_id": "antoine-or-louis-le-nain--peasant-family-in-an-interior--2nd-quarter-of-the-17th-century"}], "twitter_url": "", "translated_description": "In France, the LeNain Brothers painted scenes of every-day life (genre paintings), often depicting peasants. There was a renewal of interest in their art in the mid-Nineteenth Century, when the art critic, Champfluery wrote that the brothers “considered men in tatters more interesting than courtiers in embroidered garments.” At the same time, Poussin created a very different style—one that was highly intellectual and looked back to Renaissance, and ancient Greek and Roman art.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In France, the LeNain Brothers painted scenes of every-day life (genre paintings), often depicting peasants. There was a renewal of interest in their art in the mid-Nineteenth Century, when the art critic, Champfluery wrote that the brothers “considered men in tatters more interesting than courtiers in embroidered garments.” At the same time, Poussin created a very different style—one that was highly intellectual and looked back to Renaissance, and ancient Greek and Roman art.", "x_pos": 0.0, "node_slug": "france", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T19:38:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax23e591e8", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque/france", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque/france", "slug": "france", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5a15f712580b89b25d981b0bb74cc68dc97cd489", "standalone_title": "Art History: France", "y_pos": 0.0, "current_revision_key": "5a15f712580b89b25d981b0bb74cc68dc97cd489", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The 17th Century is the era of the Baroque style, characterized by energy, drama, and movement. The Church in Rome needed art that spoke to its resurgent power even as the conflict between Protestant and Catholics continued. A new realism—with a special sensitivity to light—also pervades the art of this period across Europe and can be seen especially in the work of Caravaggio, Velazquez, Ruysdael, and Vermeer. But where in Catholic countries, the Church remained a major patron of religious images, in the Protestant Dutch Republic, artists painted an expanded range subjects like still-lifes, landscapes and genre paintings for the middle class.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The 17th Century is the era of the Baroque style, characterized by energy, drama, and movement. The Church in Rome needed art that spoke to its resurgent power even as the conflict between Protestant and Catholics continued. A new realism—with a special sensitivity to light—also pervades the art of this period across Europe and can be seen especially in the work of Caravaggio, Velazquez, Ruysdael, and Vermeer. But where in Catholic countries, the Church remained a major patron of religious images, in the Protestant Dutch Republic, artists painted an expanded range subjects like still-lifes, landscapes and genre paintings for the middle class.", "x_pos": 0.0, "node_slug": "art-history-1600-1700-the-baroque", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd423cf4e", "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque", "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque", "slug": "art-history-1600-1700-the-baroque", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4bc5b2f26a5946c5c213f5ca3b7d9824ff842956", "standalone_title": "Art History: 1600-1700 The Baroque", "y_pos": 0.0, "current_revision_key": "4bc5b2f26a5946c5c213f5ca3b7d9824ff842956", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1700-1800-age-of-enlightenment", "translated_standalone_title": "Art History: 1700-1800 Age of Enlightenment", "translated_title": "1700-1800 Age of Enlightenment", "gplus_url": "", "id": "xa49f103b", "old_key_name": "5IXC_nNVxsS8I6clNgKVKco70vCq5RjZqEMnheW3", "hide": false, "title": "1700-1800 Age of Enlightenment", "child_data": [{"kind": "Topic", "id": "xd08c262e"}, {"kind": "Topic", "id": "xf9813705"}, {"kind": "Topic", "id": "xef336b54"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/rococo", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1700-1800-age-of-enlightenment/rococo", "translated_standalone_title": "Art History: Rococo", "translated_title": "Rococo", "gplus_url": "", "id": "xd08c262e", "old_key_name": "epxB4Jbi3ILB5VKZ99okOrdyTjOhytPUaRIbXV2c", "hide": false, "title": "Rococo", "child_data": [{"kind": "Video", "id": 671539972}, {"kind": "Video", "id": 708141472}, {"kind": "Video", "id": 671422834}, {"kind": "Video", "id": 669432588}, {"kind": "Video", "id": 671260998}, {"kind": "Video", "id": "x2447b562"}, {"kind": "Video", "id": "xd50f0896"}, {"kind": "Video", "id": "x7383cb71"}, {"kind": "Exercise", "id": "x2f9a2533"}], "children": [{"translated_youtube_id": "rVI5Sjm0xKI", "relative_url": "/video/fragonard--the-swing--1767", "has_questions": false, "keywords": "Fragonard, Swing, art history, history of art, rococo, smarthistory", "ka_url": "http://www.khanacademy.org/video/fragonard--the-swing--1767", "duration": 201, "translated_title": "Fragonard, The Swing", "translated_description_html": "Jean-Honoré Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671539972", "description_html": "Jean-Honoré Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Fragonard, The Swing", "progress_key": "v671539972", "edit_slug": "edit/v/671539972", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jean-Honoré Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rococo"}, "node_slug": "v/fragonard--the-swing--1767", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:12:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rVI5Sjm0xKI.mp4/rVI5Sjm0xKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rVI5Sjm0xKI.mp4/rVI5Sjm0xKI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rVI5Sjm0xKI.m3u8/rVI5Sjm0xKI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rVI5Sjm0xKI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539972", "sha": "f2b51d496793005f63dd3b636186358617561009", "translated_description": "Jean-Honoré Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/rVI5Sjm0xKI/hqdefault.jpg", "youtube_id": "rVI5Sjm0xKI", "content_kind": "Video", "readable_id": "fragonard--the-swing--1767"}, {"translated_youtube_id": "w1dqzlTTm0E", "relative_url": "/video/jean-honor--fragonard--the-progress-of-love--the-meeting--1771-1773", "has_questions": false, "keywords": "Jean-Honoré Fragonard, Fragonard, Progress of Love, The Meeting, 1771, 1773, Frick Collection, Frick, New York, French, Painting, Rococo, ancien regime, series, art, art history, smarthistory, Khan Academy, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/jean-honor--fragonard--the-progress-of-love--the-meeting--1771-1773", "duration": 312, "translated_title": "Fragonard, The Meeting", "translated_description_html": "Jean-Honoré Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)", "id": "708141472", "description_html": "Jean-Honoré Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)", "title": "Fragonard, The Meeting", "progress_key": "v708141472", "edit_slug": "edit/v/708141472", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jean-Honoré Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/fragonard-the-meeting"}, "node_slug": "v/jean-honor--fragonard--the-progress-of-love--the-meeting--1771-1773", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w1dqzlTTm0E.mp4/w1dqzlTTm0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w1dqzlTTm0E.mp4/w1dqzlTTm0E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w1dqzlTTm0E.m3u8/w1dqzlTTm0E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w1dqzlTTm0E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708141472", "sha": "c90db77bceffd29cfab4a395101f96f82df2899f", "translated_description": "Jean-Honoré Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)", "image_url": "https://img.youtube.com/vi/w1dqzlTTm0E/hqdefault.jpg", "youtube_id": "w1dqzlTTm0E", "content_kind": "Video", "readable_id": "jean-honor--fragonard--the-progress-of-love--the-meeting--1771-1773"}, {"translated_youtube_id": "OSP1o2Zsbts", "relative_url": "/video/fran-ois-boucher--venus-consoling-love--1751", "has_questions": false, "keywords": "Boucher, Venus, Cupid, Rococo, National Gallery of Art, Consoling, Allegory, French, Painting, Art, Art History, Smarthistory, quiver, arrows, Love, nude, 1751", "ka_url": "http://www.khanacademy.org/video/fran-ois-boucher--venus-consoling-love--1751", "duration": 127, "translated_title": "Boucher, Venus Consoling Love", "translated_description_html": "François Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)", "id": "671422834", "description_html": "François Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)", "title": "Boucher, Venus Consoling Love", "progress_key": "v671422834", "edit_slug": "edit/v/671422834", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "François Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bouchers-venus-consoling-love"}, "node_slug": "v/fran-ois-boucher--venus-consoling-love--1751", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OSP1o2Zsbts.mp4/OSP1o2Zsbts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OSP1o2Zsbts.mp4/OSP1o2Zsbts.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OSP1o2Zsbts.m3u8/OSP1o2Zsbts.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OSP1o2Zsbts&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422834", "sha": "c9c84703b6392019c3d7e9e9f625937a63ce0c3b", "translated_description": "François Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)", "image_url": "https://img.youtube.com/vi/OSP1o2Zsbts/hqdefault.jpg", "youtube_id": "OSP1o2Zsbts", "content_kind": "Video", "readable_id": "fran-ois-boucher--venus-consoling-love--1751"}, {"translated_youtube_id": "lnJRkY0mZh4", "relative_url": "/video/boucher--madame-de-pompadour--1750", "has_questions": false, "keywords": "Smarthistory, Art, Art History, Fogg Art Museum, Boucher, Rococo, Louis XV", "ka_url": "http://www.khanacademy.org/video/boucher--madame-de-pompadour--1750", "duration": 186, "translated_title": "Boucher, Madame de Pompadour", "translated_description_html": "François Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum", "id": "669432588", "description_html": "François Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum", "title": "Boucher, Madame de Pompadour", "progress_key": "v669432588", "edit_slug": "edit/v/669432588", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "François Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/madame-de-pompadour"}, "node_slug": "v/boucher--madame-de-pompadour--1750", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lnJRkY0mZh4.mp4/lnJRkY0mZh4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lnJRkY0mZh4.mp4/lnJRkY0mZh4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lnJRkY0mZh4.m3u8/lnJRkY0mZh4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lnJRkY0mZh4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432588", "sha": "a22771356853d2e63855c3c95fcb3f5f5402d291", "translated_description": "François Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum", "image_url": "https://img.youtube.com/vi/lnJRkY0mZh4/hqdefault.jpg", "youtube_id": "lnJRkY0mZh4", "content_kind": "Video", "readable_id": "boucher--madame-de-pompadour--1750"}, {"translated_youtube_id": "6V9x0d5wRpI", "relative_url": "/video/lisabeth-louise-vigee-le-brun--madame-perregaux--1789", "has_questions": false, "keywords": "smarthistory, Elisabeth-Louise Vigee Le Brun, Le Brun, Vigee Le Brun, Madame Perregaux, French painting, 18th century art, art history, Wallace Collection, London", "ka_url": "http://www.khanacademy.org/video/lisabeth-louise-vigee-le-brun--madame-perregaux--1789", "duration": 104, "translated_title": "Vigée Le Brun, Madame Perregaux", "translated_description_html": "Élisabeth-Louise Vigée Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671260998", "description_html": "Élisabeth-Louise Vigée Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Vigée Le Brun, Madame Perregaux", "progress_key": "v671260998", "edit_slug": "edit/v/671260998", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Élisabeth-Louise Vigée Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/madame-perregaux"}, "node_slug": "v/lisabeth-louise-vigee-le-brun--madame-perregaux--1789", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6V9x0d5wRpI.mp4/6V9x0d5wRpI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6V9x0d5wRpI.mp4/6V9x0d5wRpI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6V9x0d5wRpI.m3u8/6V9x0d5wRpI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6V9x0d5wRpI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260998", "sha": "8ef6c2bd8c7204ab7706947c99b838c04d74b442", "translated_description": "Élisabeth-Louise Vigée Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6V9x0d5wRpI/hqdefault.jpg", "youtube_id": "6V9x0d5wRpI", "content_kind": "Video", "readable_id": "lisabeth-louise-vigee-le-brun--madame-perregaux--1789"}, {"translated_youtube_id": "DZ7ITdS4kD8", "relative_url": "/video/grand-canal-in-venice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/grand-canal-in-venice", "duration": 184, "translated_title": "The Grand Canal in Venice", "translated_description_html": "

Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x2447b562", "description_html": "

Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "The Grand Canal in Venice", "progress_key": "vx2447b562", "edit_slug": "edit/v/x2447b562", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/grand-canal-in-venice", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.mp4/DZ7ITdS4kD8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.mp4/DZ7ITdS4kD8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.m3u8/DZ7ITdS4kD8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DZ7ITdS4kD8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2447b562", "sha": "14921cd2859552eb4a5a9fb8ec93acfab28286fc", "translated_description": "Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/DZ7ITdS4kD8/hqdefault.jpg", "youtube_id": "DZ7ITdS4kD8", "content_kind": "Video", "readable_id": "grand-canal-in-venice"}, {"translated_youtube_id": "EblnaLMjdNg", "relative_url": "/video/unlocking-18th-c-french-mechanical-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unlocking-18th-c-french-mechanical-table", "duration": 160, "translated_title": "Unlocking an 18th-century French mechanical table", "translated_description_html": "

With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+<\/a><\/p>", "id": "xd50f0896", "description_html": "

With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+<\/a><\/p>", "title": "Unlocking an 18th-century French mechanical table", "progress_key": "vxd50f0896", "edit_slug": "edit/v/xd50f0896", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/unlocking-18th-c-french-mechanical-table", "deleted": false, "backup_timestamp": "2013-11-04T22:16:48Z", "date_added": "2013-11-04T22:16:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.mp4/EblnaLMjdNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.mp4/EblnaLMjdNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.m3u8/EblnaLMjdNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EblnaLMjdNg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd50f0896", "sha": "4f851df50f734304c9ac38c6939f615d75f0a8d4", "translated_description": "With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/EblnaLMjdNg/hqdefault.jpg", "youtube_id": "EblnaLMjdNg", "content_kind": "Video", "readable_id": "unlocking-18th-c-french-mechanical-table"}, {"translated_youtube_id": "m5OxVgH-T1I", "relative_url": "/video/18th-c-french-mechanical-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/18th-c-french-mechanical-table", "duration": 123, "translated_title": "Construction of an 18th-c French mechanical table", "translated_description_html": "

The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+<\/a><\/span><\/p>", "id": "x7383cb71", "description_html": "

The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+<\/a><\/span><\/p>", "title": "Construction of an 18th-c French mechanical table", "progress_key": "vx7383cb71", "edit_slug": "edit/v/x7383cb71", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/18th-c-french-mechanical-table", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.mp4/m5OxVgH-T1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.mp4/m5OxVgH-T1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.m3u8/m5OxVgH-T1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5OxVgH-T1I&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7383cb71", "sha": "33c6e8533b7242ba9d10d781cd77014b9b5e11f5", "translated_description": "The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/m5OxVgH-T1I/hqdefault.jpg", "youtube_id": "m5OxVgH-T1I", "content_kind": "Video", "readable_id": "18th-c-french-mechanical-table"}], "twitter_url": "", "translated_description": "It’s hard not to like Rococo art. After all, it’s subjects are often about luxury and pleasure, which makes sense since its patrons were the extremely wealthy French aristocracy. This tutorial features two romantic liaisons—Fragonard’s The Swing and The Meeting, portraits and a mythological subject, “Venus Consoling Love.” You get the idea.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "It’s hard not to like Rococo art. After all, it’s subjects are often about luxury and pleasure, which makes sense since its patrons were the extremely wealthy French aristocracy. This tutorial features two romantic liaisons—Fragonard’s The Swing and The Meeting, portraits and a mythological subject, “Venus Consoling Love.” You get the idea.", "x_pos": 0.0, "node_slug": "rococo", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd08c262e", "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/rococo", "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment/rococo", "slug": "rococo", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "51d094fb58b7c5034059f1fd9ee4bc74655c60a4", "standalone_title": "Art History: Rococo", "y_pos": 0.0, "current_revision_key": "51d094fb58b7c5034059f1fd9ee4bc74655c60a4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/neo-classicism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1700-1800-age-of-enlightenment/neo-classicism", "translated_standalone_title": "Art History: Neo-Classicism", "translated_title": "Neo-Classicism", "gplus_url": "", "id": "xf9813705", "old_key_name": "YMhQuzHflQTzFofcj15BU0swaRB-zsJGqnCmUmBN", "hide": false, "title": "Neo-Classicism", "child_data": [{"kind": "Video", "id": 671539970}, {"kind": "Video", "id": 671711125}, {"kind": "Video", "id": 671563221}, {"kind": "Video", "id": 671539973}, {"kind": "Video", "id": 671563220}, {"kind": "Exercise", "id": "x45c3b18b"}], "children": [{"translated_youtube_id": "50yBFkbD0Kk", "relative_url": "/video/david--oath-of-the-horatii--1784", "has_questions": false, "keywords": "Horatii, art, art history, smarthistory, neo-classicism, Louvre", "ka_url": "http://www.khanacademy.org/video/david--oath-of-the-horatii--1784", "duration": 348, "translated_title": "David, Oath of the Horatii", "translated_description_html": "Jacques-Louis David, Oath of the Horatii, oil on canvas, 1784 (Musée du Louvre)", "id": "671539970", "description_html": "Jacques-Louis David, Oath of the Horatii, oil on canvas, 1784 (Musée du Louvre)", "title": "David, Oath of the Horatii", "progress_key": "v671539970", "edit_slug": "edit/v/671539970", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jacques-Louis David, Oath of the Horatii, oil on canvas, 1784 (Musée du Louvre)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/david-oath-of-the-horatii.html"}, "node_slug": "v/david--oath-of-the-horatii--1784", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/50yBFkbD0Kk.mp4/50yBFkbD0Kk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/50yBFkbD0Kk.mp4/50yBFkbD0Kk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/50yBFkbD0Kk.m3u8/50yBFkbD0Kk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=50yBFkbD0Kk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539970", "sha": "97f774fb03a7a5b1bbff186729420fd1a3dfc006", "translated_description": "Jacques-Louis David, Oath of the Horatii, oil on canvas, 1784 (Musée du Louvre)", "image_url": "https://img.youtube.com/vi/50yBFkbD0Kk/hqdefault.jpg", "youtube_id": "50yBFkbD0Kk", "content_kind": "Video", "readable_id": "david--oath-of-the-horatii--1784"}, {"translated_youtube_id": "UQiNvDOJi0c", "relative_url": "/video/david--the-lictors-returning-to-brutus-the-bodies-of-his-sons--1789", "has_questions": false, "keywords": "Jacques Louis David, Brutus, Louvre, Jacques-Louis David", "ka_url": "http://www.khanacademy.org/video/david--the-lictors-returning-to-brutus-the-bodies-of-his-sons--1789", "duration": 254, "translated_title": "David, The Lictors Returning to Brutus the Bodies of His Sons", "translated_description_html": "Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10' 7-1/8\" x 13' 10-1/8\" or 3.23 x 4.22m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671711125", "description_html": "Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10' 7-1/8\" x 13' 10-1/8\" or 3.23 x 4.22m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "David, The Lictors Returning to Brutus the Bodies of His Sons", "progress_key": "v671711125", "edit_slug": "edit/v/671711125", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10' 7-1/8\" x 13' 10-1/8\" or 3.23 x 4.22m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-lictors-returning-to-brutus-the-bodies-of-his-sons.html"}, "node_slug": "v/david--the-lictors-returning-to-brutus-the-bodies-of-his-sons--1789", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UQiNvDOJi0c.mp4/UQiNvDOJi0c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UQiNvDOJi0c.mp4/UQiNvDOJi0c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UQiNvDOJi0c.m3u8/UQiNvDOJi0c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UQiNvDOJi0c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671711125", "sha": "1268dc6625055e1b14a509974d846365d422fe16", "translated_description": "Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10' 7-1/8\" x 13' 10-1/8\" or 3.23 x 4.22m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/UQiNvDOJi0c/hqdefault.jpg", "youtube_id": "UQiNvDOJi0c", "content_kind": "Video", "readable_id": "david--the-lictors-returning-to-brutus-the-bodies-of-his-sons--1789"}, {"translated_youtube_id": "ovOKjwLE4qA", "relative_url": "/video/david--the-intervention-of-the-sabine-women--1799", "has_questions": false, "keywords": "Smarthistory, Art History, Louvre, Sabine", "ka_url": "http://www.khanacademy.org/video/david--the-intervention-of-the-sabine-women--1799", "duration": 267, "translated_title": "David, The Intervention of the Sabine Women", "translated_description_html": "Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671563221", "description_html": "Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "David, The Intervention of the Sabine Women", "progress_key": "v671563221", "edit_slug": "edit/v/671563221", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/davids-the-intervention-of-the-sabine-women.html"}, "node_slug": "v/david--the-intervention-of-the-sabine-women--1799", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ovOKjwLE4qA.mp4/ovOKjwLE4qA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ovOKjwLE4qA.mp4/ovOKjwLE4qA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ovOKjwLE4qA.m3u8/ovOKjwLE4qA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ovOKjwLE4qA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563221", "sha": "6dff00441f01e7692ca43b32df8ba19f1c11c78e", "translated_description": "Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/ovOKjwLE4qA/hqdefault.jpg", "youtube_id": "ovOKjwLE4qA", "content_kind": "Video", "readable_id": "david--the-intervention-of-the-sabine-women--1799"}, {"translated_youtube_id": "Go5nAAwQnpA", "relative_url": "/video/jacques-louis-david--the-emperor-napoleon-in-his-study-at-the-tuileries--1812", "has_questions": false, "keywords": "Napoleon, National Gallery, Neo-Classicism, Jecques-Louis David", "ka_url": "http://www.khanacademy.org/video/jacques-louis-david--the-emperor-napoleon-in-his-study-at-the-tuileries--1812", "duration": 195, "translated_title": "David, The Emperor Napoleon in His Study at the Tuileries", "translated_description_html": "Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org", "id": "671539973", "description_html": "Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org", "title": "David, The Emperor Napoleon in His Study at the Tuileries", "progress_key": "v671539973", "edit_slug": "edit/v/671539973", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/emperor-napoleon-in-his-study"}, "node_slug": "v/jacques-louis-david--the-emperor-napoleon-in-his-study-at-the-tuileries--1812", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Go5nAAwQnpA.mp4/Go5nAAwQnpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Go5nAAwQnpA.mp4/Go5nAAwQnpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Go5nAAwQnpA.m3u8/Go5nAAwQnpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Go5nAAwQnpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539973", "sha": "6a9f8060db8a4ebedc167cfb53d9441f645196ad", "translated_description": "Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org", "image_url": "https://img.youtube.com/vi/Go5nAAwQnpA/hqdefault.jpg", "youtube_id": "Go5nAAwQnpA", "content_kind": "Video", "readable_id": "jacques-louis-david--the-emperor-napoleon-in-his-study-at-the-tuileries--1812"}, {"translated_youtube_id": "2B68DWcOLj0", "relative_url": "/video/girodet--the-sleep-of-endymion--1791", "has_questions": false, "keywords": "Girodet, art history, neo-classicism, romanticism, louvre, smarthistory, enydmion", "ka_url": "http://www.khanacademy.org/video/girodet--the-sleep-of-endymion--1791", "duration": 169, "translated_title": "Girodet, The Sleep of Endymion", "translated_description_html": "Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-¾ inches x 8 feet 6-¾ inches), exhibited in the salons of 1793 and 1814 (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671563220", "description_html": "Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-¾ inches x 8 feet 6-¾ inches), exhibited in the salons of 1793 and 1814 (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Girodet, The Sleep of Endymion", "progress_key": "v671563220", "edit_slug": "edit/v/671563220", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-¾ inches x 8 feet 6-¾ inches), exhibited in the salons of 1793 and 1814 (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-sleep-of-endymion.html"}, "node_slug": "v/girodet--the-sleep-of-endymion--1791", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2B68DWcOLj0.mp4/2B68DWcOLj0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2B68DWcOLj0.mp4/2B68DWcOLj0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2B68DWcOLj0.m3u8/2B68DWcOLj0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2B68DWcOLj0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563220", "sha": "d143f0a6c38aa5ad856d3e1afce997c8ce25741e", "translated_description": "Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-¾ inches x 8 feet 6-¾ inches), exhibited in the salons of 1793 and 1814 (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/2B68DWcOLj0/hqdefault.jpg", "youtube_id": "2B68DWcOLj0", "content_kind": "Video", "readable_id": "girodet--the-sleep-of-endymion--1791"}], "twitter_url": "", "translated_description": "Jacques Louis David, an active supporter of the Revolution of 1789, is the star of this tutorial. David served in the revolutionary government, used his art in the service of its cause—and voted to behead King Louis XVI. He captured the patriotism of the revolution’s early phase and later, memorialized its dead heroes. And when the revolution failed, and Napoleon came to power, David used his great talents to present a heroic image of that military general-turned emperor. David invents a new style for the democratic values of the Enlightenment—one that is the very opposite of the luxuriousness of the Rococo—and that looks back to Renaissance and ancient Greek art, hence the name—Neo-Classicism (new classicism).", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Jacques Louis David, an active supporter of the Revolution of 1789, is the star of this tutorial. David served in the revolutionary government, used his art in the service of its cause—and voted to behead King Louis XVI. He captured the patriotism of the revolution’s early phase and later, memorialized its dead heroes. And when the revolution failed, and Napoleon came to power, David used his great talents to present a heroic image of that military general-turned emperor. David invents a new style for the democratic values of the Enlightenment—one that is the very opposite of the luxuriousness of the Rococo—and that looks back to Renaissance and ancient Greek art, hence the name—Neo-Classicism (new classicism).", "x_pos": 0.0, "node_slug": "neo-classicism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf9813705", "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/neo-classicism", "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment/neo-classicism", "slug": "neo-classicism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f9f2a90971ce771cef025d8f57f9cdb0efc5b8b7", "standalone_title": "Art History: Neo-Classicism", "y_pos": 0.0, "current_revision_key": "f9f2a90971ce771cef025d8f57f9cdb0efc5b8b7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/english-portraiture", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1700-1800-age-of-enlightenment/english-portraiture", "translated_standalone_title": "Art History: English Portraiture", "translated_title": "Britain & America in the Age of Revolution", "gplus_url": "", "id": "xef336b54", "old_key_name": "1aycOe5nolE5IeUEPnfZqUGDhA_4Xho_XwgB5MTq", "hide": false, "title": "Britain & America in the Age of Revolution", "child_data": [{"kind": "Article", "id": "x9dd229df"}, {"kind": "Video", "id": 671563222}, {"kind": "Video", "id": "x46f1afe6"}, {"kind": "Article", "id": "xb68565d7"}, {"kind": "Video", "id": 719842162}, {"kind": "Video", "id": 719842163}, {"kind": "Article", "id": "xe7e5c1f0"}, {"kind": "Exercise", "id": "x9309a878"}], "children": [{"translated_youtube_id": "NX3M0NTYTYg", "relative_url": "/video/reynolds--lady-cockburn-and-her-three-eldest-sons--1773", "has_questions": false, "keywords": "Reynolds, National Gallery, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/reynolds--lady-cockburn-and-her-three-eldest-sons--1773", "duration": 247, "translated_title": "Reynolds, Lady Cockburn and Her Three Eldest Sons", "translated_description_html": "Sir Joshua Reynolds, Lady Cockburn and Her Three Eldest Sons, 1773, oil on canvas, 55-3/4 x 44-1/2 inches (141.5 x 113 cm) (National Gallery, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "id": "671563222", "description_html": "Sir Joshua Reynolds, Lady Cockburn and Her Three Eldest Sons, 1773, oil on canvas, 55-3/4 x 44-1/2 inches (141.5 x 113 cm) (National Gallery, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "title": "Reynolds, Lady Cockburn and Her Three Eldest Sons", "progress_key": "v671563222", "edit_slug": "edit/v/671563222", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sir Joshua Reynolds, Lady Cockburn and Her Three Eldest Sons, 1773, oil on canvas, 55-3/4 x 44-1/2 inches (141.5 x 113 cm) (National Gallery, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/reynolds-lady-cockburn-and-her-three-eldest-sons"}, "node_slug": "v/reynolds--lady-cockburn-and-her-three-eldest-sons--1773", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NX3M0NTYTYg.mp4/NX3M0NTYTYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NX3M0NTYTYg.mp4/NX3M0NTYTYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NX3M0NTYTYg.m3u8/NX3M0NTYTYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NX3M0NTYTYg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563222", "sha": "0563d10ed8b84f2ff73629f29d263d240a33eda6", "translated_description": "Sir Joshua Reynolds, Lady Cockburn and Her Three Eldest Sons, 1773, oil on canvas, 55-3/4 x 44-1/2 inches (141.5 x 113 cm) (National Gallery, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik", "image_url": "https://img.youtube.com/vi/NX3M0NTYTYg/hqdefault.jpg", "youtube_id": "NX3M0NTYTYg", "content_kind": "Video", "readable_id": "reynolds--lady-cockburn-and-her-three-eldest-sons--1773"}, {"translated_youtube_id": "mFJ9tHJA2Sw", "relative_url": "/video/william-hogarth-s-marriage-a-la-mode--c--1743", "has_questions": false, "keywords": "Hogarth, prints, engraving, painting, English, satire", "ka_url": "http://www.khanacademy.org/video/william-hogarth-s-marriage-a-la-mode--c--1743", "duration": 732, "translated_title": "William Hogarth, Marriage A-la-Mode, c. 1743", "translated_description_html": "", "id": "x46f1afe6", "description_html": "", "title": "William Hogarth, Marriage A-la-Mode, c. 1743", "progress_key": "vx46f1afe6", "edit_slug": "edit/v/x46f1afe6", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hogarths-marriage-a-la-mode.html"}, "node_slug": "v/william-hogarth-s-marriage-a-la-mode--c--1743", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-09-02T03:47:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mFJ9tHJA2Sw.mp4/mFJ9tHJA2Sw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mFJ9tHJA2Sw.mp4/mFJ9tHJA2Sw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mFJ9tHJA2Sw.m3u8/mFJ9tHJA2Sw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mFJ9tHJA2Sw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx46f1afe6", "sha": "92dafd943e42c8d9d6af0b730edcb9d3ac078703", "translated_description": "", "image_url": "https://img.youtube.com/vi/mFJ9tHJA2Sw/hqdefault.jpg", "youtube_id": "mFJ9tHJA2Sw", "content_kind": "Video", "readable_id": "william-hogarth-s-marriage-a-la-mode--c--1743"}, {"translated_youtube_id": "60u_ctp6UIw", "relative_url": "/video/john-singleton-copley--a-boy-with-a-flying-squirrel--henry-pelham---1765", "has_questions": false, "keywords": "copley, squirrel, GAP, John Singleton Copley, Boy with a Flying Squirrel, Henry Pelham, Flying Squirrel, 1765, Museum of Fine Arts, Boston, American Painting, Flying Squirrel America, Colonial Art, Colonial, painting, Royal Academy, London, Georgian, American, Google Art Project, Khan Academy, Smarthistory, OER, Art History", "ka_url": "http://www.khanacademy.org/video/john-singleton-copley--a-boy-with-a-flying-squirrel--henry-pelham---1765", "duration": 259, "translated_title": "Copley, Boy with a Squirrel", "translated_description_html": "John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)", "id": "719842162", "description_html": "John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)", "title": "Copley, Boy with a Squirrel", "progress_key": "v719842162", "edit_slug": "edit/v/719842162", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/boy-with-a-squirrel"}, "node_slug": "v/john-singleton-copley--a-boy-with-a-flying-squirrel--henry-pelham---1765", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-04-13T08:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/60u_ctp6UIw.mp4/60u_ctp6UIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/60u_ctp6UIw.mp4/60u_ctp6UIw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/60u_ctp6UIw.m3u8/60u_ctp6UIw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=60u_ctp6UIw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v719842162", "sha": "fc0867a37ca70d886970b8e70d19090953c1b127", "translated_description": "John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/60u_ctp6UIw/hqdefault.jpg", "youtube_id": "60u_ctp6UIw", "content_kind": "Video", "readable_id": "john-singleton-copley--a-boy-with-a-flying-squirrel--henry-pelham---1765"}, {"translated_youtube_id": "Vm1_vSny4BY", "relative_url": "/video/charles-willson-peale--staircase-group--portrait-of-raphaelle-peale-and-titian-ramsay-peale---1795", "has_questions": false, "keywords": "Charles Willson Peale, Peale, Staircase Group, Raphaelle, Titian, 1795, Philadelphia Museum of Art, Federalist, American, art, painting, museum, Philadelphia, Google Art Project, Smarthistory, Khan Academy, art history, OER", "ka_url": "http://www.khanacademy.org/video/charles-willson-peale--staircase-group--portrait-of-raphaelle-peale-and-titian-ramsay-peale---1795", "duration": 266, "translated_title": "Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale)", "translated_description_html": "Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/", "id": "719842163", "description_html": "Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/", "title": "Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale)", "progress_key": "v719842163", "edit_slug": "edit/v/719842163", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/peales-staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale"}, "node_slug": "v/charles-willson-peale--staircase-group--portrait-of-raphaelle-peale-and-titian-ramsay-peale---1795", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Vm1_vSny4BY.mp4/Vm1_vSny4BY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Vm1_vSny4BY.mp4/Vm1_vSny4BY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Vm1_vSny4BY.m3u8/Vm1_vSny4BY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Vm1_vSny4BY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v719842163", "sha": "e5797b719dd00b452720d6f6db0a5aeb8ea07e21", "translated_description": "Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/", "image_url": "https://img.youtube.com/vi/Vm1_vSny4BY/hqdefault.jpg", "youtube_id": "Vm1_vSny4BY", "content_kind": "Video", "readable_id": "charles-willson-peale--staircase-group--portrait-of-raphaelle-peale-and-titian-ramsay-peale---1795"}], "twitter_url": "", "translated_description": "Britain and America in the Age of Revolutions (Reynolds, Copley, Peale)\n\tIt was hard to be an artist in America during the colonial period, and for decades after too. There were no real art schools, no grand tradition of art, and no wealthy aristocratic patrons to commission heroic subjects. Americans were practical, and they wanted portraits—and not paintings of classical mythology (which didn’t always make American artists, at least those with wider ambitions, happy). As you’ll learn in this tutorial, Copley was the greatest American portrait painter of the period, and Peale, who studied with Copley, painted portraits of American heroes such as George Washington, Thomas Jefferson and Benjamin Franklin, and founded what became the first real American art museum. American artists looked to England for support and inspiration, often to the older Sir Joshua Reynolds, who was the painter to the King, and first President of the Royal Academy in London.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Britain and America in the Age of Revolutions (Reynolds, Copley, Peale)\n\tIt was hard to be an artist in America during the colonial period, and for decades after too. There were no real art schools, no grand tradition of art, and no wealthy aristocratic patrons to commission heroic subjects. Americans were practical, and they wanted portraits—and not paintings of classical mythology (which didn’t always make American artists, at least those with wider ambitions, happy). As you’ll learn in this tutorial, Copley was the greatest American portrait painter of the period, and Peale, who studied with Copley, painted portraits of American heroes such as George Washington, Thomas Jefferson and Benjamin Franklin, and founded what became the first real American art museum. American artists looked to England for support and inspiration, often to the older Sir Joshua Reynolds, who was the painter to the King, and first President of the Royal Academy in London.", "x_pos": 0.0, "node_slug": "english-portraiture", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-02T03:49:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axef336b54", "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/english-portraiture", "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment/english-portraiture", "slug": "english-portraiture", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "66eb79092ecb9e74cf2abb8ecce3283911747f32", "standalone_title": "Art History: English Portraiture", "y_pos": 0.0, "current_revision_key": "66eb79092ecb9e74cf2abb8ecce3283911747f32", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "From the frivolous paintings of Fragonard to the politically-charged moralizing images of David, this tutorial brings us from the King of France and his court—the 1%—to the democratic aspirations of the French and American revolutionaries. The Kings of France ruled by divine right, but Enlightenment thinkers (for example, Voltaire and Diderot) asserted our ability to reason for ourselves rather than rely on the teachings of established institutions. Rousseau in “The Social Contract,” stated that power to govern resided in the hands of the people. In 1788 the new United States ratified its Constitution, and in 1793, King Louis XVI was beheaded. Artists in France, America and Britain—some sympathetic to revolutionary ideals, others not—were nevertheless all caught up in the political upheavals of this period.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "From the frivolous paintings of Fragonard to the politically-charged moralizing images of David, this tutorial brings us from the King of France and his court—the 1%—to the democratic aspirations of the French and American revolutionaries. The Kings of France ruled by divine right, but Enlightenment thinkers (for example, Voltaire and Diderot) asserted our ability to reason for ourselves rather than rely on the teachings of established institutions. Rousseau in “The Social Contract,” stated that power to govern resided in the hands of the people. In 1788 the new United States ratified its Constitution, and in 1793, King Louis XVI was beheaded. Artists in France, America and Britain—some sympathetic to revolutionary ideals, others not—were nevertheless all caught up in the political upheavals of this period.", "x_pos": 0.0, "node_slug": "art-history-1700-1800-age-of-enlightenment", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa49f103b", "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment", "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment", "slug": "art-history-1700-1800-age-of-enlightenment", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9fb9939cb49ba8be0cd72887c7c6fc0d357753de", "standalone_title": "Art History: 1700-1800 Age of Enlightenment", "y_pos": 0.0, "current_revision_key": "9fb9939cb49ba8be0cd72887c7c6fc0d357753de", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i", "translated_standalone_title": "Art History: 1800-1848 Industrial Revolution I", "translated_title": "1800-1848 Industrial Revolution I", "gplus_url": "", "id": "xd2351824", "old_key_name": "tj6K_uBObEt3l7eI1-_o9XHFr-C0l8Hqx-DA8FA6", "hide": false, "title": "1800-1848 Industrial Revolution I", "child_data": [{"kind": "Topic", "id": "xd8fe62cd"}, {"kind": "Topic", "id": "xdfe479bc"}, {"kind": "Topic", "id": "x8220c628"}, {"kind": "Topic", "id": "xfe4c2595"}, {"kind": "Topic", "id": "xdf41a2fc"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-france", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-france", "translated_standalone_title": "Art History: Romanticism in France", "translated_title": "Romanticism in France", "gplus_url": "", "id": "xd8fe62cd", "old_key_name": "EYd_HkEi-t-mAPoSCxLz73uiLkyXd6L-tL6iU-S6", "hide": false, "title": "Romanticism in France", "child_data": [{"kind": "Video", "id": 671539974}, {"kind": "Video", "id": 671422835}, {"kind": "Video", "id": 671260999}, {"kind": "Video", "id": 671385801}, {"kind": "Video", "id": 671656223}, {"kind": "Video", "id": 671656221}, {"kind": "Video", "id": 671593301}, {"kind": "Video", "id": 671656224}, {"kind": "Exercise", "id": "x2c996bfb"}], "children": [{"translated_youtube_id": "BP5mCFyBCq8", "relative_url": "/video/delacroix--liberty-leading-the-people--1830", "has_questions": false, "keywords": "Delacroix, Liberty Leading the People, Art History, Smarthistory, Musee du Louvre, Paris, Eugène Delacroix Art history", "ka_url": "http://www.khanacademy.org/video/delacroix--liberty-leading-the-people--1830", "duration": 324, "translated_title": "Delacroix, Liberty Leading the People", "translated_description_html": "Eugène Delacroix, Liberty Leading the People, oil on canvas, 2.6 x 3.25m, 1830 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671539974", "description_html": "Eugène Delacroix, Liberty Leading the People, oil on canvas, 2.6 x 3.25m, 1830 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Delacroix, Liberty Leading the People", "progress_key": "v671539974", "edit_slug": "edit/v/671539974", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Eugène Delacroix, Liberty Leading the People, oil on canvas, 2.6 x 3.25m, 1830 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/romanticism-in-france.html"}, "node_slug": "v/delacroix--liberty-leading-the-people--1830", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-03-20T19:12:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BP5mCFyBCq8.mp4/BP5mCFyBCq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BP5mCFyBCq8.mp4/BP5mCFyBCq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BP5mCFyBCq8.m3u8/BP5mCFyBCq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BP5mCFyBCq8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671539974", "sha": "e956d486c1ed986f3e27e40446b37831e7754591", "translated_description": "Eugène Delacroix, Liberty Leading the People, oil on canvas, 2.6 x 3.25m, 1830 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/BP5mCFyBCq8/hqdefault.jpg", "youtube_id": "BP5mCFyBCq8", "content_kind": "Video", "readable_id": "delacroix--liberty-leading-the-people--1830"}, {"translated_youtube_id": "CyNjK7dv-IM", "relative_url": "/video/delacroix--scene-of-the-massacre-at-chios--greek-families-awaiting-death-or-slavery--1824", "has_questions": false, "keywords": "Delacroix, Chios, Louvre, Art History, Smarthistory, Eugène Delacroix", "ka_url": "http://www.khanacademy.org/video/delacroix--scene-of-the-massacre-at-chios--greek-families-awaiting-death-or-slavery--1824", "duration": 195, "translated_title": "Delacroix, Scene of the massacre at Chios", "translated_description_html": "Eugène Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas, 164\" × 139\" (419 cm × 354 cm) (Musée du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html", "id": "671422835", "description_html": "Eugène Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas, 164\" × 139\" (419 cm × 354 cm) (Musée du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html", "title": "Delacroix, Scene of the massacre at Chios", "progress_key": "v671422835", "edit_slug": "edit/v/671422835", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Eugène Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas, 164\" × 139\" (419 cm × 354 cm) (Musée du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/delacroix-scene-massacre-chios.html"}, "node_slug": "v/delacroix--scene-of-the-massacre-at-chios--greek-families-awaiting-death-or-slavery--1824", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:12:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CyNjK7dv-IM.mp4/CyNjK7dv-IM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CyNjK7dv-IM.mp4/CyNjK7dv-IM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CyNjK7dv-IM.m3u8/CyNjK7dv-IM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CyNjK7dv-IM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671422835", "sha": "846372c889921d617ea5c0939f531ceaf4edc13d", "translated_description": "Eugène Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas, 164\" × 139\" (419 cm × 354 cm) (Musée du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html", "image_url": "https://img.youtube.com/vi/CyNjK7dv-IM/hqdefault.jpg", "youtube_id": "CyNjK7dv-IM", "content_kind": "Video", "readable_id": "delacroix--scene-of-the-massacre-at-chios--greek-families-awaiting-death-or-slavery--1824"}, {"translated_youtube_id": "iDBJK0y8vb0", "relative_url": "/video/delacroix--the-death-of-sardanapalus--1827", "has_questions": false, "keywords": "Delacroix, Sardanapalus, Romanticism, Louvre, Eugène Delacroix", "ka_url": "http://www.khanacademy.org/video/delacroix--the-death-of-sardanapalus--1827", "duration": 223, "translated_title": "Delacroix, The Death of Sardanapalus", "translated_description_html": "Eugène Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671260999", "description_html": "Eugène Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Delacroix, The Death of Sardanapalus", "progress_key": "v671260999", "edit_slug": "edit/v/671260999", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Eugène Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/the-death-of-sardanapalus.html"}, "node_slug": "v/delacroix--the-death-of-sardanapalus--1827", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.mp4/iDBJK0y8vb0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.mp4/iDBJK0y8vb0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.m3u8/iDBJK0y8vb0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iDBJK0y8vb0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671260999", "sha": "cd808ffca76af961eb8f2ecca37054a6243762d7", "translated_description": "Eugène Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Musée du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/iDBJK0y8vb0/hqdefault.jpg", "youtube_id": "iDBJK0y8vb0", "content_kind": "Video", "readable_id": "delacroix--the-death-of-sardanapalus--1827"}, {"translated_youtube_id": "Rx1HtFtc1cM", "relative_url": "/video/gros--napoleon-bonaparte-visiting-the-pest-house-in-jaffa--1804", "has_questions": false, "keywords": "Gros, Jaffa, Napoleon, Romanticism, Louvre, smarthistory, art history", "ka_url": "http://www.khanacademy.org/video/gros--napoleon-bonaparte-visiting-the-pest-house-in-jaffa--1804", "duration": 217, "translated_title": "Gros, Napoleon Bonaparte Visiting the Plague-Stricken in Jaffa", "translated_description_html": "Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671385801", "description_html": "Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Gros, Napoleon Bonaparte Visiting the Plague-Stricken in Jaffa", "progress_key": "v671385801", "edit_slug": "edit/v/671385801", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gross-napoleon-bonaparte-visiting-the-plague-stricken-in-jaffa.html"}, "node_slug": "v/gros--napoleon-bonaparte-visiting-the-pest-house-in-jaffa--1804", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:12:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rx1HtFtc1cM.mp4/Rx1HtFtc1cM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rx1HtFtc1cM.mp4/Rx1HtFtc1cM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rx1HtFtc1cM.m3u8/Rx1HtFtc1cM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rx1HtFtc1cM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385801", "sha": "476874442fb3119796df328f866ca032851f569c", "translated_description": "Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Rx1HtFtc1cM/hqdefault.jpg", "youtube_id": "Rx1HtFtc1cM", "content_kind": "Video", "readable_id": "gros--napoleon-bonaparte-visiting-the-pest-house-in-jaffa--1804"}, {"translated_youtube_id": "XympPG5iD-Y", "relative_url": "/video/g-ricault--raft-of-the-medusa--1818-19", "has_questions": false, "keywords": "Gericault, Raft of the Medusa, Romanticism, Louvre, Paris, Art History, Smarthistory, Musée du Louvre", "ka_url": "http://www.khanacademy.org/video/g-ricault--raft-of-the-medusa--1818-19", "duration": 394, "translated_title": "Géricault, Raft of the Medusa", "translated_description_html": "Théodore Géricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671656223", "description_html": "Théodore Géricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Géricault, Raft of the Medusa", "progress_key": "v671656223", "edit_slug": "edit/v/671656223", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Théodore Géricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gericaults-raft-of-the-medusa1.html"}, "node_slug": "v/g-ricault--raft-of-the-medusa--1818-19", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XympPG5iD-Y.mp4/XympPG5iD-Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XympPG5iD-Y.mp4/XympPG5iD-Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XympPG5iD-Y.m3u8/XympPG5iD-Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XympPG5iD-Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656223", "sha": "1657a33ee226a861a5ecff3bb74f9e98a4d84ccc", "translated_description": "Théodore Géricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Musée du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/XympPG5iD-Y/hqdefault.jpg", "youtube_id": "XympPG5iD-Y", "content_kind": "Video", "readable_id": "g-ricault--raft-of-the-medusa--1818-19"}, {"translated_youtube_id": "lSV-J1JHDFY", "relative_url": "/video/ingres--la-grande-odalisque--1814", "has_questions": false, "keywords": "Ingres, Odalisque, Louvre, Art History, Smarthistory, Smarthistory. Art history", "ka_url": "http://www.khanacademy.org/video/ingres--la-grande-odalisque--1814", "duration": 250, "translated_title": "Ingres, La Grand Odalisque", "translated_description_html": "Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36\" x 63\" (91 x 162 cm), (Musée du Louvre, Paris)", "id": "671656221", "description_html": "Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36\" x 63\" (91 x 162 cm), (Musée du Louvre, Paris)", "title": "Ingres, La Grand Odalisque", "progress_key": "v671656221", "edit_slug": "edit/v/671656221", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36\" x 63\" (91 x 162 cm), (Musée du Louvre, Paris)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/grand-odalisque.html"}, "node_slug": "v/ingres--la-grande-odalisque--1814", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lSV-J1JHDFY.mp4/lSV-J1JHDFY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lSV-J1JHDFY.mp4/lSV-J1JHDFY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lSV-J1JHDFY.m3u8/lSV-J1JHDFY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lSV-J1JHDFY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656221", "sha": "fc93c42ec470d67237e8c27f1057d841325096c3", "translated_description": "Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36\" x 63\" (91 x 162 cm), (Musée du Louvre, Paris)", "image_url": "https://img.youtube.com/vi/lSV-J1JHDFY/hqdefault.jpg", "youtube_id": "lSV-J1JHDFY", "content_kind": "Video", "readable_id": "ingres--la-grande-odalisque--1814"}, {"translated_youtube_id": "CXsstWSXh68", "relative_url": "/video/ingres--raphael-and-the-fornarina--1814", "has_questions": false, "keywords": "art, art history, Ingres, Smarthistory, Raphael, Fogg, Fogg art museum, Romanticism, painting", "ka_url": "http://www.khanacademy.org/video/ingres--raphael-and-the-fornarina--1814", "duration": 231, "translated_title": "Ingres, Raphael and the Fornarina", "translated_description_html": "Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html", "id": "671593301", "description_html": "Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html", "title": "Ingres, Raphael and the Fornarina", "progress_key": "v671593301", "edit_slug": "edit/v/671593301", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/raphael-and-the-fornarina"}, "node_slug": "v/ingres--raphael-and-the-fornarina--1814", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:12:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CXsstWSXh68.mp4/CXsstWSXh68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CXsstWSXh68.mp4/CXsstWSXh68.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CXsstWSXh68.m3u8/CXsstWSXh68.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CXsstWSXh68&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593301", "sha": "9513baf3faa063c738547b35b245e4e19c363d1f", "translated_description": "Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html", "image_url": "https://img.youtube.com/vi/CXsstWSXh68/hqdefault.jpg", "youtube_id": "CXsstWSXh68", "content_kind": "Video", "readable_id": "ingres--raphael-and-the-fornarina--1814"}, {"translated_youtube_id": "sQpAYcxSVEg", "relative_url": "/video/ingres--princess-de-broglie--1851-53", "has_questions": false, "keywords": "Ingres, Smarthsitory, art, art history, romanticism, Princess, portrait", "ka_url": "http://www.khanacademy.org/video/ingres--princess-de-broglie--1851-53", "duration": 203, "translated_title": "Ingres, Princesse de Broglie", "translated_description_html": "A Smarthistory video. See www.smarthistory.org for more videos.", "id": "671656224", "description_html": "A Smarthistory video. See www.smarthistory.org for more videos.", "title": "Ingres, Princesse de Broglie", "progress_key": "v671656224", "edit_slug": "edit/v/671656224", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A Smarthistory video. See www.smarthistory.org for more videos.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/princesse-de-broglie"}, "node_slug": "v/ingres--princess-de-broglie--1851-53", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sQpAYcxSVEg.mp4/sQpAYcxSVEg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sQpAYcxSVEg.mp4/sQpAYcxSVEg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sQpAYcxSVEg.m3u8/sQpAYcxSVEg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sQpAYcxSVEg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656224", "sha": "f8e6a1a36eeb955ef100304e34481d98bcbe9a24", "translated_description": "A Smarthistory video. See www.smarthistory.org for more videos.", "image_url": "https://img.youtube.com/vi/sQpAYcxSVEg/hqdefault.jpg", "youtube_id": "sQpAYcxSVEg", "content_kind": "Video", "readable_id": "ingres--princess-de-broglie--1851-53"}], "twitter_url": "", "translated_description": "Romanticism begins in France with the violent and exotic battle scenes of Gros and the famous shipwreck, the Raft of the Medusa, painted by Gericault. Soon after, two distinct trends emerge in French painting, one—represented by the artist Delacroix—was rebellious, and emphasized emotion, color and loose brushwork. The other—which can be seen in the art of Ingres—upheld tradition, and emphasized line and a highly finished surface. Of course, things were more complicated—but those were battle lines!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Romanticism begins in France with the violent and exotic battle scenes of Gros and the famous shipwreck, the Raft of the Medusa, painted by Gericault. Soon after, two distinct trends emerge in French painting, one—represented by the artist Delacroix—was rebellious, and emphasized emotion, color and loose brushwork. The other—which can be seen in the art of Ingres—upheld tradition, and emphasized line and a highly finished surface. Of course, things were more complicated—but those were battle lines!", "x_pos": 0.0, "node_slug": "romanticism-in-france", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd8fe62cd", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-france", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-france", "slug": "romanticism-in-france", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3abacbb82bde5141e72813b9a76251923cf8b9d6", "standalone_title": "Art History: Romanticism in France", "y_pos": 0.0, "current_revision_key": "3abacbb82bde5141e72813b9a76251923cf8b9d6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-spain", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-spain", "translated_standalone_title": "Art History: Romanticism in Spain", "translated_title": "Romanticism in Spain", "gplus_url": "", "id": "xdfe479bc", "old_key_name": "EFlF5_Bf_kaAcaLB_2A8nCa1JpDo7HxivWsY1BKk", "hide": false, "title": "Romanticism in Spain", "child_data": [{"kind": "Video", "id": 671656220}, {"kind": "Video", "id": 671718096}, {"kind": "Exercise", "id": "x62ee23bc"}], "children": [{"translated_youtube_id": "TlvXGblFsv8", "relative_url": "/video/goya--the-family-of-charles-iv--c--1800", "has_questions": false, "keywords": "Goya, Royal Family, Charles IV, Prado, Madrid, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/goya--the-family-of-charles-iv--c--1800", "duration": 210, "translated_title": "Goya, The Family of Charles IV", "translated_description_html": "Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671656220", "description_html": "Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Goya, The Family of Charles IV", "progress_key": "v671656220", "edit_slug": "edit/v/671656220", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/goya-the-family-of-charles-iv"}, "node_slug": "v/goya--the-family-of-charles-iv--c--1800", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TlvXGblFsv8.mp4/TlvXGblFsv8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TlvXGblFsv8.mp4/TlvXGblFsv8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TlvXGblFsv8.m3u8/TlvXGblFsv8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TlvXGblFsv8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656220", "sha": "96b92f705841c23c922fa3d7536acd8c0d8e3878", "translated_description": "Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/TlvXGblFsv8/hqdefault.jpg", "youtube_id": "TlvXGblFsv8", "content_kind": "Video", "readable_id": "goya--the-family-of-charles-iv--c--1800"}, {"translated_youtube_id": "3Lawz8TcPig", "relative_url": "/video/goya--saturn-devouring-one-of-his-sons", "has_questions": false, "keywords": "art, art history, goya, prado, romanticism", "ka_url": "http://www.khanacademy.org/video/goya--saturn-devouring-one-of-his-sons", "duration": 205, "translated_title": "Goya, Saturn Devouring His Son", "translated_description_html": "Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the\"Black Paintings\" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as \"la Quinta del Sordo.\" Goya painted on the walls using several materials including oil paint. The \"Black Paintings\" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron Émile d'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.", "id": "671718096", "description_html": "Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the\"Black Paintings\" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as \"la Quinta del Sordo.\" Goya painted on the walls using several materials including oil paint. The \"Black Paintings\" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron Émile d'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.", "title": "Goya, Saturn Devouring His Son", "progress_key": "v671718096", "edit_slug": "edit/v/671718096", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the\"Black Paintings\" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as \"la Quinta del Sordo.\" Goya painted on the walls using several materials including oil paint. The \"Black Paintings\" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron Émile d'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/goya-saturn-devouring-one-of-his-children"}, "node_slug": "v/goya--saturn-devouring-one-of-his-sons", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Lawz8TcPig.mp4/3Lawz8TcPig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Lawz8TcPig.mp4/3Lawz8TcPig.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Lawz8TcPig.m3u8/3Lawz8TcPig.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Lawz8TcPig&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718096", "sha": "93a6f676bb068da55e80b8cb39740b0669c318a0", "translated_description": "Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the\"Black Paintings\" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as \"la Quinta del Sordo.\" Goya painted on the walls using several materials including oil paint. The \"Black Paintings\" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron Émile d'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.", "image_url": "https://img.youtube.com/vi/3Lawz8TcPig/hqdefault.jpg", "youtube_id": "3Lawz8TcPig", "content_kind": "Video", "readable_id": "goya--saturn-devouring-one-of-his-sons"}], "twitter_url": "", "translated_description": "The great artist Francisco Goya is the focus of this tutorial. Goya began his career designing tapestries for the royal residences, and eventually became court painter to the King of Spain. But after Napoleon’s army occupied Spain and deposed the King, Goya documented the horrors he witnessed. His work following the occupation, including the Third of May 1808, remains some of the most powerful anti-war images ever created. His later years were spent largely in a house outside Madrid which he painted with haunting scenes. Saturn Devouring his sons belongs to this late series, known as the “Black Paintings.”", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The great artist Francisco Goya is the focus of this tutorial. Goya began his career designing tapestries for the royal residences, and eventually became court painter to the King of Spain. But after Napoleon’s army occupied Spain and deposed the King, Goya documented the horrors he witnessed. His work following the occupation, including the Third of May 1808, remains some of the most powerful anti-war images ever created. His later years were spent largely in a house outside Madrid which he painted with haunting scenes. Saturn Devouring his sons belongs to this late series, known as the “Black Paintings.”", "x_pos": 0.0, "node_slug": "romanticism-in-spain", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdfe479bc", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-spain", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-spain", "slug": "romanticism-in-spain", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "87879749f464ed3c6515266c10dd78af40bcd976", "standalone_title": "Art History: Romanticism in Spain", "y_pos": 0.0, "current_revision_key": "87879749f464ed3c6515266c10dd78af40bcd976", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-england", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-england", "translated_standalone_title": "Art History: Romanticism in England", "translated_title": "Romanticism in England", "gplus_url": "", "id": "x8220c628", "old_key_name": "uloevV0MAqDg6Wf5cszbq99KmE1DNZFUrZD_u47L", "hide": false, "title": "Romanticism in England", "child_data": [{"kind": "Video", "id": 669432590}, {"kind": "Video", "id": "xd545c5c8"}, {"kind": "Video", "id": 1239028451}, {"kind": "Video", "id": 671563224}, {"kind": "Video", "id": 719832194}, {"kind": "Video", "id": "xe988b1a9"}, {"kind": "Exercise", "id": "x3b82f2c4"}], "children": [{"translated_youtube_id": "FKIHHeBe674", "relative_url": "/video/constable---the-hay-wain---1821", "has_questions": false, "keywords": "Smartistory", "ka_url": "http://www.khanacademy.org/video/constable---the-hay-wain---1821", "duration": 269, "translated_title": "Constable, The Hay Wain", "translated_description_html": "John Constable, \"The Hay Wain\", 1821. Oil on canvas, 51 1/4\" x 73\" (130.2 x 185.4 cm) (The National Gallery, London)", "id": "669432590", "description_html": "John Constable, \"The Hay Wain\", 1821. Oil on canvas, 51 1/4\" x 73\" (130.2 x 185.4 cm) (The National Gallery, London)", "title": "Constable, The Hay Wain", "progress_key": "v669432590", "edit_slug": "edit/v/669432590", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "John Constable, \"The Hay Wain\", 1821. Oil on canvas, 51 1/4\" x 73\" (130.2 x 185.4 cm) (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/constables-the-hay-wain"}, "node_slug": "v/constable---the-hay-wain---1821", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FKIHHeBe674.mp4/FKIHHeBe674.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FKIHHeBe674.mp4/FKIHHeBe674.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FKIHHeBe674.m3u8/FKIHHeBe674.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FKIHHeBe674&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669432590", "sha": "2b3ca624f5a8b60941270d9e69d6a5b56ed6e9b8", "translated_description": "John Constable, \"The Hay Wain\", 1821. Oil on canvas, 51 1/4\" x 73\" (130.2 x 185.4 cm) (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/FKIHHeBe674/hqdefault.jpg", "youtube_id": "FKIHHeBe674", "content_kind": "Video", "readable_id": "constable---the-hay-wain---1821"}, {"translated_youtube_id": "MxyQgpgc7Ds", "relative_url": "/video/john-constable--view-on-the-stour-near-dedham", "has_questions": false, "keywords": "Romanticism, Constable, English, England, painting, landscape, Dedham", "ka_url": "http://www.khanacademy.org/video/john-constable--view-on-the-stour-near-dedham", "duration": 227, "translated_title": "John Constable, View on the Stour near Dedham", "translated_description_html": "John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xd545c5c8", "description_html": "John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "John Constable, View on the Stour near Dedham", "progress_key": "vxd545c5c8", "edit_slug": "edit/v/xd545c5c8", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/view-on-the-stour-near-dedham.html"}, "node_slug": "v/john-constable--view-on-the-stour-near-dedham", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-04T16:33:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MxyQgpgc7Ds.mp4/MxyQgpgc7Ds.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MxyQgpgc7Ds.mp4/MxyQgpgc7Ds.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MxyQgpgc7Ds.m3u8/MxyQgpgc7Ds.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MxyQgpgc7Ds&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd545c5c8", "sha": "379e04a1bed7be0dc7073b3930345aec5e87fe5e", "translated_description": "John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/MxyQgpgc7Ds/hqdefault.jpg", "youtube_id": "MxyQgpgc7Ds", "content_kind": "Video", "readable_id": "john-constable--view-on-the-stour-near-dedham"}, {"translated_youtube_id": "NoCW80MEGXY", "relative_url": "/video/turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840", "duration": 242, "translated_title": "Turner, Slave Ship", "translated_description_html": "Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris", "id": "1239028451", "description_html": "Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris", "title": "Turner, Slave Ship", "progress_key": "v1239028451", "edit_slug": "edit/v/1239028451", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/turners-slave-ship"}, "node_slug": "v/turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-19T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.mp4/NoCW80MEGXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.mp4/NoCW80MEGXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.m3u8/NoCW80MEGXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NoCW80MEGXY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1239028451", "sha": "7c5e9cc4079c50a0d49693972b2d02300c9b8aa8", "translated_description": "Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris", "image_url": "https://img.youtube.com/vi/NoCW80MEGXY/hqdefault.jpg", "youtube_id": "NoCW80MEGXY", "content_kind": "Video", "readable_id": "turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840"}, {"translated_youtube_id": "pPsqUFuysbU", "relative_url": "/video/turner--rain--steam--and-speed----the-great-western-railway--1844", "has_questions": false, "keywords": "J. M. W. Turner, Raine, Steam and Speed, Trains, National Gallery, London, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/turner--rain--steam--and-speed----the-great-western-railway--1844", "duration": 266, "translated_title": "Turner, rain, steam, and speed – the great western railway", "translated_description_html": "Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames​ between Taplow and Maidenhead.", "id": "671563224", "description_html": "Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames​ between Taplow and Maidenhead.", "title": "Turner, rain, steam, and speed – the great western railway", "progress_key": "v671563224", "edit_slug": "edit/v/671563224", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames​ between Taplow and Maidenhead.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rain-steam-and-speed-the-great-western-railway"}, "node_slug": "v/turner--rain--steam--and-speed----the-great-western-railway--1844", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:12:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pPsqUFuysbU.mp4/pPsqUFuysbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pPsqUFuysbU.mp4/pPsqUFuysbU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pPsqUFuysbU.m3u8/pPsqUFuysbU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pPsqUFuysbU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671563224", "sha": "b9e85809bac1ea123f5ccd8aaea792118cc31493", "translated_description": "Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames​ between Taplow and Maidenhead.", "image_url": "https://img.youtube.com/vi/pPsqUFuysbU/hqdefault.jpg", "youtube_id": "pPsqUFuysbU", "content_kind": "Video", "readable_id": "turner--rain--steam--and-speed----the-great-western-railway--1844"}, {"translated_youtube_id": "DMxaK0xjIdE", "relative_url": "/video/henry-fuseli--titania-and-bottom--c--1790", "has_questions": false, "keywords": "Fuseli, Titania, GAP, Shakespeare, Google Art Project, Faeries, Khan Academy, Art History, smarthistory, romanticism, English, Royal Academy, dream, Midsummer, Night", "ka_url": "http://www.khanacademy.org/video/henry-fuseli--titania-and-bottom--c--1790", "duration": 270, "translated_title": "Fuseli, Titania and Bottom", "translated_description_html": "Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)", "id": "719832194", "description_html": "Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)", "title": "Fuseli, Titania and Bottom", "progress_key": "v719832194", "edit_slug": "edit/v/719832194", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/fuseli-titania-and-bottom"}, "node_slug": "v/henry-fuseli--titania-and-bottom--c--1790", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DMxaK0xjIdE.mp4/DMxaK0xjIdE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DMxaK0xjIdE.mp4/DMxaK0xjIdE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DMxaK0xjIdE.m3u8/DMxaK0xjIdE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DMxaK0xjIdE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719832194", "sha": "4641347d1c280adb19b9f2fd1ad2b7f0ec3121f2", "translated_description": "Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/DMxaK0xjIdE/hqdefault.jpg", "youtube_id": "DMxaK0xjIdE", "content_kind": "Video", "readable_id": "henry-fuseli--titania-and-bottom--c--1790"}, {"translated_youtube_id": "7oBUIo5R5qg", "relative_url": "/video/Palace-Westminster", "has_questions": false, "keywords": "Westminster parliament lords commons", "ka_url": "http://www.khanacademy.org/video/Palace-Westminster", "duration": 388, "translated_title": "Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)", "translated_description_html": "

Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)<\/em>, 1840-70, London

Speakers: Dr. Beth Harris and Dr. Steven Zucker <\/p>", "id": "xe988b1a9", "description_html": "

Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)<\/em>, 1840-70, London

Speakers: Dr. Beth Harris and Dr. Steven Zucker <\/p>", "title": "Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)", "progress_key": "vxe988b1a9", "edit_slug": "edit/v/xe988b1a9", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament), 1840-70, LondonSpeakers: Dr. Beth Harris and Dr. Steven Zucker ", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/charles-barry-and-a.w.n.-pugin-palace-of-westminster-houses-of-parliament.html"}, "node_slug": "v/Palace-Westminster", "deleted": false, "backup_timestamp": "2013-10-04T05:48:23Z", "date_added": "2013-10-04T05:48:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7oBUIo5R5qg.mp4/7oBUIo5R5qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7oBUIo5R5qg.mp4/7oBUIo5R5qg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7oBUIo5R5qg.m3u8/7oBUIo5R5qg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7oBUIo5R5qg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe988b1a9", "sha": "096698aa0ebd97fcb44418a633504736c158f6b4", "translated_description": "Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament), 1840-70, LondonSpeakers: Dr. Beth Harris and Dr. Steven Zucker ", "image_url": "https://img.youtube.com/vi/7oBUIo5R5qg/hqdefault.jpg", "youtube_id": "7oBUIo5R5qg", "content_kind": "Video", "readable_id": "Palace-Westminster"}], "twitter_url": "", "translated_description": "As the industrial revolution transformed the British countryside, replacing fields with factories, painters turned to landscape. Constable painted his native suffolk, where he spent his childhood, and imbued it with a sense of affection for rural life. Turner, on the other hand, created dramatic and sublime landscapes with a sense of the heroic or even the tragic. What both of these artists have in common is a desire to make landscape painting—understood as a low subject by the Academy which dictated official views on art—carry serious meaning.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "As the industrial revolution transformed the British countryside, replacing fields with factories, painters turned to landscape. Constable painted his native suffolk, where he spent his childhood, and imbued it with a sense of affection for rural life. Turner, on the other hand, created dramatic and sublime landscapes with a sense of the heroic or even the tragic. What both of these artists have in common is a desire to make landscape painting—understood as a low subject by the Academy which dictated official views on art—carry serious meaning.", "x_pos": 0.0, "node_slug": "romanticism-in-england", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8220c628", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-england", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-england", "slug": "romanticism-in-england", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "23c6dd476535de568b75833c2de340d26c954388", "standalone_title": "Art History: Romanticism in England", "y_pos": 0.0, "current_revision_key": "23c6dd476535de568b75833c2de340d26c954388", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-germany", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-germany", "translated_standalone_title": "Art History: Romanticism in Germany", "translated_title": "Romanticism in Germany", "gplus_url": "", "id": "xfe4c2595", "old_key_name": "3t5L-_K6NLAwLhT-dA3L59xyAZHH56yqxVwDKP6o", "hide": false, "title": "Romanticism in Germany", "child_data": [{"kind": "Video", "id": 708138868}, {"kind": "Video", "id": 719746436}, {"kind": "Video", "id": 708126672}, {"kind": "Video", "id": 719804657}, {"kind": "Video", "id": 671738036}, {"kind": "Exercise", "id": "x73854239"}], "children": [{"translated_youtube_id": "XkcHktjqI1s", "relative_url": "/video/caspar-david-friedrich--monk-by-the-sea--1808-or-1810", "has_questions": false, "keywords": "Friedrich, Monk, Sea, GAP, Google Art Project, Smarthistory, Khan Academy, Romanticism, Romantic, German, Caspar David Friedrich, Monk by the Sea, 1808, 1810, Alte Nationalgalerie, Baltic, Solitude, Educational", "ka_url": "http://www.khanacademy.org/video/caspar-david-friedrich--monk-by-the-sea--1808-or-1810", "duration": 246, "translated_title": "Friedrich, Monk by the Sea", "translated_description_html": "Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "id": "708138868", "description_html": "Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "title": "Friedrich, Monk by the Sea", "progress_key": "v708138868", "edit_slug": "edit/v/708138868", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/friedrich-monk-by-the-sea"}, "node_slug": "v/caspar-david-friedrich--monk-by-the-sea--1808-or-1810", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-04-07T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XkcHktjqI1s.mp4/XkcHktjqI1s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XkcHktjqI1s.mp4/XkcHktjqI1s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XkcHktjqI1s.m3u8/XkcHktjqI1s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XkcHktjqI1s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708138868", "sha": "422998ae57817a9fd33a865f92244d8f5d6199ef", "translated_description": "Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/XkcHktjqI1s/hqdefault.jpg", "youtube_id": "XkcHktjqI1s", "content_kind": "Video", "readable_id": "caspar-david-friedrich--monk-by-the-sea--1808-or-1810"}, {"translated_youtube_id": "_DgeQ7rpIHI", "relative_url": "/video/caspar-david-friedrich--abbey-among-oak-trees--1809-or-1810", "has_questions": false, "keywords": "Friedrich, Abbey, GAP, Caspar David Friedrich, Abbey among Oak Trees, Abbey in an Oak Wood, 1809, 1810, Alte Nationalgalerie, Berlin, Romanticism, Ruins, Gothic, Twilight, painting, burial, monks, Winter, Google Art Project, Khan Academy, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/caspar-david-friedrich--abbey-among-oak-trees--1809-or-1810", "duration": 262, "translated_title": "Friedrich, Abbey among Oak Trees", "translated_description_html": "Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)", "id": "719746436", "description_html": "Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)", "title": "Friedrich, Abbey among Oak Trees", "progress_key": "v719746436", "edit_slug": "edit/v/719746436", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/friedrich-abbey-among-oak-trees"}, "node_slug": "v/caspar-david-friedrich--abbey-among-oak-trees--1809-or-1810", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_DgeQ7rpIHI.mp4/_DgeQ7rpIHI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_DgeQ7rpIHI.mp4/_DgeQ7rpIHI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_DgeQ7rpIHI.m3u8/_DgeQ7rpIHI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_DgeQ7rpIHI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719746436", "sha": "3a59f2fc318055f3ee7c04e3285ec98968ad9c49", "translated_description": "Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)", "image_url": "https://img.youtube.com/vi/_DgeQ7rpIHI/hqdefault.jpg", "youtube_id": "_DgeQ7rpIHI", "content_kind": "Video", "readable_id": "caspar-david-friedrich--abbey-among-oak-trees--1809-or-1810"}, {"translated_youtube_id": "YlhDUSntCI4", "relative_url": "/video/caspar-david-friedrich--solitary-tree--or-lone-tree---1822", "has_questions": false, "keywords": "Caspar David Friedrich, Friedrich, Solitary Tree, Lone Tree, 1822, Alte Nationalgalerie, Berlin, Romanticism, Sublime, Landscape, weathered, gnarled, art, painting, German, art history, Khan Academy, Smarthistory, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/caspar-david-friedrich--solitary-tree--or-lone-tree---1822", "duration": 226, "translated_title": "Friedrich, The Lone Tree", "translated_description_html": "Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)", "id": "708126672", "description_html": "Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)", "title": "Friedrich, The Lone Tree", "progress_key": "v708126672", "edit_slug": "edit/v/708126672", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/friedrich-the-lone-tree"}, "node_slug": "v/caspar-david-friedrich--solitary-tree--or-lone-tree---1822", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YlhDUSntCI4.mp4/YlhDUSntCI4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YlhDUSntCI4.mp4/YlhDUSntCI4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YlhDUSntCI4.m3u8/YlhDUSntCI4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YlhDUSntCI4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708126672", "sha": "995e5679461a871e83655d819c691e10ccd66ff6", "translated_description": "Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)", "image_url": "https://img.youtube.com/vi/YlhDUSntCI4/hqdefault.jpg", "youtube_id": "YlhDUSntCI4", "content_kind": "Video", "readable_id": "caspar-david-friedrich--solitary-tree--or-lone-tree---1822"}, {"translated_youtube_id": "eE7BR9HCffk", "relative_url": "/video/caspar-david-friedrich--woman-at-a-window--1822", "has_questions": false, "keywords": "Caspar David Friedrich, Friedrich, Woman at a Window, Window, 1822, Alte Nationalgalerie, Berlin, Romanticism, Interior, Genre, Mast, art, painting, art history, Google Art Project, smarthistory, Khan Academy, OER educational", "ka_url": "http://www.khanacademy.org/video/caspar-david-friedrich--woman-at-a-window--1822", "duration": 286, "translated_title": "Friedrich, Woman at a Window", "translated_description_html": "Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/", "id": "719804657", "description_html": "Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/", "title": "Friedrich, Woman at a Window", "progress_key": "v719804657", "edit_slug": "edit/v/719804657", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/friedrich-woman-at-a-window"}, "node_slug": "v/caspar-david-friedrich--woman-at-a-window--1822", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eE7BR9HCffk.mp4/eE7BR9HCffk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eE7BR9HCffk.mp4/eE7BR9HCffk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eE7BR9HCffk.m3u8/eE7BR9HCffk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eE7BR9HCffk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719804657", "sha": "4f0bfbc884bc307c1ddf09b947b7b4fd6642904d", "translated_description": "Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/", "image_url": "https://img.youtube.com/vi/eE7BR9HCffk/hqdefault.jpg", "youtube_id": "eE7BR9HCffk", "content_kind": "Video", "readable_id": "caspar-david-friedrich--woman-at-a-window--1822"}, {"translated_youtube_id": "xSnm3LNMXi0", "relative_url": "/video/friedrich--a-walk-at-dusk--1830-35", "has_questions": false, "keywords": "Caspar David Friedrich, Romanticism, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/friedrich--a-walk-at-dusk--1830-35", "duration": 209, "translated_title": "Friedrich, a Walk at Dusk", "translated_description_html": "Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671738036", "description_html": "Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Friedrich, a Walk at Dusk", "progress_key": "v671738036", "edit_slug": "edit/v/671738036", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/friedrichs-a-walk-at-dusk"}, "node_slug": "v/friedrich--a-walk-at-dusk--1830-35", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:12:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSnm3LNMXi0.mp4/xSnm3LNMXi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xSnm3LNMXi0.mp4/xSnm3LNMXi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSnm3LNMXi0.m3u8/xSnm3LNMXi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xSnm3LNMXi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738036", "sha": "e33c2a6dcd2c8d0e98ab804b89359399856d3eda", "translated_description": "Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/xSnm3LNMXi0/hqdefault.jpg", "youtube_id": "xSnm3LNMXi0", "content_kind": "Video", "readable_id": "friedrich--a-walk-at-dusk--1830-35"}], "twitter_url": "", "translated_description": "This tutorial focuses exclusively on the art of Caspar David Friedrich, whose work best exemplifies Romanticism’s interest in the big questions of man’s mortality and place in the universe. The world had changed dramatically since the time of Michelangelo, Bernini and Rembrandt, and as a result, Friedrich approached these big questions without the Christian narratives that dominated the art of the past. And like his English counterparts during this period, he imbues nature and the landscape with symbolic and often spiritual meaning.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This tutorial focuses exclusively on the art of Caspar David Friedrich, whose work best exemplifies Romanticism’s interest in the big questions of man’s mortality and place in the universe. The world had changed dramatically since the time of Michelangelo, Bernini and Rembrandt, and as a result, Friedrich approached these big questions without the Christian narratives that dominated the art of the past. And like his English counterparts during this period, he imbues nature and the landscape with symbolic and often spiritual meaning.", "x_pos": 0.0, "node_slug": "romanticism-in-germany", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfe4c2595", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-germany", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-germany", "slug": "romanticism-in-germany", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "474c19094a6e3ce572e0db44a74f45f7cbf296aa", "standalone_title": "Art History: Romanticism in Germany", "y_pos": 0.0, "current_revision_key": "474c19094a6e3ce572e0db44a74f45f7cbf296aa", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-the-united-states", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-the-united-states", "translated_standalone_title": "Art History: Romanticism in the United States", "translated_title": "Romanticism in the United States", "gplus_url": "", "id": "xdf41a2fc", "old_key_name": "ZFJnksFR8RUP73vyYAABtPO21tSFcTX5YWGxDl44", "hide": false, "title": "Romanticism in the United States", "child_data": [{"kind": "Video", "id": 719624693}, {"kind": "Video", "id": 1159799181}, {"kind": "Video", "id": 719781803}, {"kind": "Video", "id": 719842164}, {"kind": "Video", "id": 670111807}, {"kind": "Exercise", "id": "x7f3d1ed2"}], "children": [{"translated_youtube_id": "dBrKCtx4TfA", "relative_url": "/video/thomas-cole--expulsion-from-the-garden-of-eden--1828", "has_questions": false, "keywords": "Cole, Expulsion, Eden, GAP, Thomas Cole, 1828, Museum of Fine Arts, Boston, American Art, Painting, Landscape, Hudson River School, Google Art Project, Khan Academy, Smarthstory, OER, art history, American Painting, American, Art", "ka_url": "http://www.khanacademy.org/video/thomas-cole--expulsion-from-the-garden-of-eden--1828", "duration": 235, "translated_title": "Cole, Expulsion from the Garden of Eden", "translated_description_html": "Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)", "id": "719624693", "description_html": "Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)", "title": "Cole, Expulsion from the Garden of Eden", "progress_key": "v719624693", "edit_slug": "edit/v/719624693", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cole-expulsion-from-the-garden-of-eden"}, "node_slug": "v/thomas-cole--expulsion-from-the-garden-of-eden--1828", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dBrKCtx4TfA.mp4/dBrKCtx4TfA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dBrKCtx4TfA.mp4/dBrKCtx4TfA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dBrKCtx4TfA.m3u8/dBrKCtx4TfA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dBrKCtx4TfA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719624693", "sha": "4973a70d539f60ff7bc9e8eeb2836af9aee7e33f", "translated_description": "Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/dBrKCtx4TfA/hqdefault.jpg", "youtube_id": "dBrKCtx4TfA", "content_kind": "Video", "readable_id": "thomas-cole--expulsion-from-the-garden-of-eden--1828"}, {"translated_youtube_id": "7cdagIIBso8", "relative_url": "/video/cole---the-oxbow--1836", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cole---the-oxbow--1836", "duration": 176, "translated_title": "Cole, The Oxbow", "translated_description_html": "Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm—The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "1159799181", "description_html": "Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm—The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Cole, The Oxbow", "progress_key": "v1159799181", "edit_slug": "edit/v/1159799181", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm—The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/romanticism-us-cole"}, "node_slug": "v/cole---the-oxbow--1836", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-19T19:31:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7cdagIIBso8.mp4/7cdagIIBso8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7cdagIIBso8.mp4/7cdagIIBso8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7cdagIIBso8.m3u8/7cdagIIBso8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7cdagIIBso8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159799181", "sha": "afa7f29b4ea2fd7d2d75d6c0ee04f6db9c95bfee", "translated_description": "Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm—The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/7cdagIIBso8/hqdefault.jpg", "youtube_id": "7cdagIIBso8", "content_kind": "Video", "readable_id": "cole---the-oxbow--1836"}, {"translated_youtube_id": "H95wT4wT95w", "relative_url": "/video/washington-allston--elijah-in-the-desert--1818", "has_questions": false, "keywords": "Romanticism, Khan Academy, smarthistory, art history, Google Art Project, OER, Washington Allston, Allston, Elijah in the Desert, Elijah, 1818, Museum of Fine Arts, Boston, American, Landscape", "ka_url": "http://www.khanacademy.org/video/washington-allston--elijah-in-the-desert--1818", "duration": 279, "translated_title": "Allston, Elijah in the Desert", "translated_description_html": "Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)", "id": "719781803", "description_html": "Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)", "title": "Allston, Elijah in the Desert", "progress_key": "v719781803", "edit_slug": "edit/v/719781803", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/allston-elijah-in-the-desert"}, "node_slug": "v/washington-allston--elijah-in-the-desert--1818", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H95wT4wT95w.mp4/H95wT4wT95w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H95wT4wT95w.mp4/H95wT4wT95w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H95wT4wT95w.m3u8/H95wT4wT95w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H95wT4wT95w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719781803", "sha": "55852ae9444b8c649e6362f6e4dadcdfbeb5d306", "translated_description": "Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/H95wT4wT95w/hqdefault.jpg", "youtube_id": "H95wT4wT95w", "content_kind": "Video", "readable_id": "washington-allston--elijah-in-the-desert--1818"}, {"translated_youtube_id": "ascpn9AjCIk", "relative_url": "/video/fitz-henry-lane--owl-s-head--penobscot-bay--maine--1862", "has_questions": false, "keywords": "GAP, Maine, American Painting, American Art, Fitz Henry Lane, Owl's Head, Penobscot Bay, 1862, Museum of Fine Arts, Boston, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, landscape, ship, shore, calm, luminist", "ka_url": "http://www.khanacademy.org/video/fitz-henry-lane--owl-s-head--penobscot-bay--maine--1862", "duration": 207, "translated_title": "Lane, Owl's Head, Penobscot Bay, Maine", "translated_description_html": "Fitz Henry Lane, Owl's Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)", "id": "719842164", "description_html": "Fitz Henry Lane, Owl's Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)", "title": "Lane, Owl's Head, Penobscot Bay, Maine", "progress_key": "v719842164", "edit_slug": "edit/v/719842164", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fitz Henry Lane, Owl's Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lane-owls-head-penobscot-bay-maine"}, "node_slug": "v/fitz-henry-lane--owl-s-head--penobscot-bay--maine--1862", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ascpn9AjCIk.mp4/ascpn9AjCIk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ascpn9AjCIk.mp4/ascpn9AjCIk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ascpn9AjCIk.m3u8/ascpn9AjCIk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ascpn9AjCIk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842164", "sha": "c4adaa320a652c7af2a6df6b4e77a40a4d99b874", "translated_description": "Fitz Henry Lane, Owl's Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/ascpn9AjCIk/hqdefault.jpg", "youtube_id": "ascpn9AjCIk", "content_kind": "Video", "readable_id": "fitz-henry-lane--owl-s-head--penobscot-bay--maine--1862"}, {"translated_youtube_id": "Km_VuxJuJng", "relative_url": "/video/erastus-salisbury-field--portrait-of-a-young-woman--c--1830", "has_questions": false, "keywords": "Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/erastus-salisbury-field--portrait-of-a-young-woman--c--1830", "duration": 239, "translated_title": "Erastus Salisbury Field, Portrait of a Young Woman", "translated_description_html": "Erastus Salisbury Field's Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver", "id": "670111807", "description_html": "Erastus Salisbury Field's Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver", "title": "Erastus Salisbury Field, Portrait of a Young Woman", "progress_key": "v670111807", "edit_slug": "edit/v/670111807", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Erastus Salisbury Field's Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Salisbury-Field"}, "node_slug": "v/erastus-salisbury-field--portrait-of-a-young-woman--c--1830", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:12:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Km_VuxJuJng.mp4/Km_VuxJuJng.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Km_VuxJuJng.mp4/Km_VuxJuJng.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Km_VuxJuJng.m3u8/Km_VuxJuJng.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Km_VuxJuJng&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111807", "sha": "780807d20c4505cdd5eae2b5d8bb2d9846ba7596", "translated_description": "Erastus Salisbury Field's Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver", "image_url": "https://img.youtube.com/vi/Km_VuxJuJng/hqdefault.jpg", "youtube_id": "Km_VuxJuJng", "content_kind": "Video", "readable_id": "erastus-salisbury-field--portrait-of-a-young-woman--c--1830"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "romanticism-in-the-united-states", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdf41a2fc", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-the-united-states", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i/romanticism-in-the-united-states", "slug": "romanticism-in-the-united-states", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "04647d646310263e272ae75f8cff61e1a74d8aff", "standalone_title": "Art History: Romanticism in the United States", "y_pos": 0.0, "current_revision_key": "04647d646310263e272ae75f8cff61e1a74d8aff", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "With the failure of the French Revolution (Napoleon crowned himself Emperor, and after his defeat, a King was restored to power in France), there was a turn away from public, political life, toward personal, subjective experience. In large part, this turn characterizes the new style of Romanticism (don’t confuse this with our own use of the term romantic!), whether we look to art in France, Spain, England or Germany. Where Neo-Classical painters created virtuous and heroic subjects with figures willing to sacrifice for the public good, Romantic painters asserted the primacy of emotion and the irrational.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "With the failure of the French Revolution (Napoleon crowned himself Emperor, and after his defeat, a King was restored to power in France), there was a turn away from public, political life, toward personal, subjective experience. In large part, this turn characterizes the new style of Romanticism (don’t confuse this with our own use of the term romantic!), whether we look to art in France, Spain, England or Germany. Where Neo-Classical painters created virtuous and heroic subjects with figures willing to sacrifice for the public good, Romantic painters asserted the primacy of emotion and the irrational.", "x_pos": 0.0, "node_slug": "art-history-1800-1848-industrial-revolution-i", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd2351824", "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i", "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i", "slug": "art-history-1800-1848-industrial-revolution-i", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "12443601ec3764559d19bac325f1b754a336c1bc", "standalone_title": "Art History: 1800-1848 Industrial Revolution I", "y_pos": 0.0, "current_revision_key": "12443601ec3764559d19bac325f1b754a336c1bc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii", "translated_standalone_title": "Art History: 1848-1907 Industrial Revolution II", "translated_title": "1848-1907 Industrial Revolution II", "gplus_url": "", "id": "x3478cfee", "old_key_name": "I07_Js05M4tj1uhv6Y0qj2A2BJd6_rjABimAPlUN", "hide": false, "title": "1848-1907 Industrial Revolution II", "child_data": [{"kind": "Topic", "id": "xe6a81777"}, {"kind": "Topic", "id": "x1bbb9ad1"}, {"kind": "Topic", "id": "xdfbfdcce"}, {"kind": "Topic", "id": "x79e94e3a"}, {"kind": "Topic", "id": "x68aeab5d"}, {"kind": "Topic", "id": "x5f5e7272"}, {"kind": "Topic", "id": "xa5f779e9"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/pre-raphaelites", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/pre-raphaelites", "translated_standalone_title": "Art History: Pre-Raphaelites", "translated_title": "Pre-Raphaelites", "gplus_url": "", "id": "xe6a81777", "old_key_name": "D4zFq5YZ13RD-m3WIpLk_bBsaB1-udaJaLueMaUv", "hide": false, "title": "Pre-Raphaelites", "child_data": [{"kind": "Video", "id": 671385806}, {"kind": "Video", "id": 719746437}, {"kind": "Video", "id": 708157438}, {"kind": "Video", "id": 719624694}, {"kind": "Video", "id": 719842166}, {"kind": "Video", "id": 719474986}, {"kind": "Video", "id": 669368681}, {"kind": "Video", "id": 669368689}, {"kind": "Video", "id": 719832195}, {"kind": "Video", "id": 671593307}, {"kind": "Video", "id": 719824439}, {"kind": "Video", "id": 719824440}, {"kind": "Video", "id": 719804659}, {"kind": "Video", "id": 879734537}, {"kind": "Exercise", "id": "xba36be1b"}], "children": [{"translated_youtube_id": "4j13InegUPk", "relative_url": "/video/william-holman-hunt--claudio-and-isabella--1850", "has_questions": false, "keywords": "Hunt Claudio and Isabella, smarthistory, art history, Pre-Raphaelite, Tate Britain", "ka_url": "http://www.khanacademy.org/video/william-holman-hunt--claudio-and-isabella--1850", "duration": 288, "translated_title": "Hunt, Claudio and Isabella", "translated_description_html": "William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare's Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n What says my brother?\n\nCLAUDIO\n\n Death is a fearful thing.\n\nISABELLA\n\n And shamed life a hateful.\n\nCLAUDIO\n\n Ay, but to die, and go we know not where;\n To lie in cold obstruction and to rot;\n This sensible warm motion to become\n A kneaded clod; and the delighted spirit\n To bathe in fiery floods, or to reside\n In thrilling region of thick-ribbed ice;\n To be imprison'd in the viewless winds,\n And blown with restless violence round about\n The pendent world; or to be worse than worst\n Of those that lawless and incertain thought\n Imagine howling: 'tis too horrible!\n The weariest and most loathed worldly life\n That age, ache, penury and imprisonment\n Can lay on nature is a paradise\n To what we fear of death.\n\nISABELLA\n\nAlas, alas!", "id": "671385806", "description_html": "William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare's Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n What says my brother?\n\nCLAUDIO\n\n Death is a fearful thing.\n\nISABELLA\n\n And shamed life a hateful.\n\nCLAUDIO\n\n Ay, but to die, and go we know not where;\n To lie in cold obstruction and to rot;\n This sensible warm motion to become\n A kneaded clod; and the delighted spirit\n To bathe in fiery floods, or to reside\n In thrilling region of thick-ribbed ice;\n To be imprison'd in the viewless winds,\n And blown with restless violence round about\n The pendent world; or to be worse than worst\n Of those that lawless and incertain thought\n Imagine howling: 'tis too horrible!\n The weariest and most loathed worldly life\n That age, ache, penury and imprisonment\n Can lay on nature is a paradise\n To what we fear of death.\n\nISABELLA\n\nAlas, alas!", "title": "Hunt, Claudio and Isabella", "progress_key": "v671385806", "edit_slug": "edit/v/671385806", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare's Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n What says my brother?\n\nCLAUDIO\n\n Death is a fearful thing.\n\nISABELLA\n\n And shamed life a hateful.\n\nCLAUDIO\n\n Ay, but to die, and go we know not where;\n To lie in cold obstruction and to rot;\n This sensible warm motion to become\n A kneaded clod; and the delighted spirit\n To bathe in fiery floods, or to reside\n In thrilling region of thick-ribbed ice;\n To be imprison'd in the viewless winds,\n And blown with restless violence round about\n The pendent world; or to be worse than worst\n Of those that lawless and incertain thought\n Imagine howling: 'tis too horrible!\n The weariest and most loathed worldly life\n That age, ache, penury and imprisonment\n Can lay on nature is a paradise\n To what we fear of death.\n\nISABELLA\n\nAlas, alas!", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/william-holman-hunts-claudio-and-isabella"}, "node_slug": "v/william-holman-hunt--claudio-and-isabella--1850", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4j13InegUPk.mp4/4j13InegUPk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4j13InegUPk.mp4/4j13InegUPk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4j13InegUPk.m3u8/4j13InegUPk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4j13InegUPk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385806", "sha": "0e1686e5046cbb7cf55688530610e850b8ed60ef", "translated_description": "William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare's Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n What says my brother?\n\nCLAUDIO\n\n Death is a fearful thing.\n\nISABELLA\n\n And shamed life a hateful.\n\nCLAUDIO\n\n Ay, but to die, and go we know not where;\n To lie in cold obstruction and to rot;\n This sensible warm motion to become\n A kneaded clod; and the delighted spirit\n To bathe in fiery floods, or to reside\n In thrilling region of thick-ribbed ice;\n To be imprison'd in the viewless winds,\n And blown with restless violence round about\n The pendent world; or to be worse than worst\n Of those that lawless and incertain thought\n Imagine howling: 'tis too horrible!\n The weariest and most loathed worldly life\n That age, ache, penury and imprisonment\n Can lay on nature is a paradise\n To what we fear of death.\n\nISABELLA\n\nAlas, alas!", "image_url": "https://img.youtube.com/vi/4j13InegUPk/hqdefault.jpg", "youtube_id": "4j13InegUPk", "content_kind": "Video", "readable_id": "william-holman-hunt--claudio-and-isabella--1850"}, {"translated_youtube_id": "tIqO2GS8O64", "relative_url": "/video/william-holman-hunt--our-english-coasts---strayed-sheep----1852", "has_questions": false, "keywords": "Hunt, Strayed Sheep, GAP, Tate Britain, William Holman Hunt, Our English Coasts, 1852, Tate, Britain, London, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, Landscape, English, sheep, coastline", "ka_url": "http://www.khanacademy.org/video/william-holman-hunt--our-english-coasts---strayed-sheep----1852", "duration": 334, "translated_title": "Hunt, Our English Coasts (\"Strayed Sheep\")", "translated_description_html": "William Holman Hunt, Our English Coasts ('Strayed Sheep'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)", "id": "719746437", "description_html": "William Holman Hunt, Our English Coasts ('Strayed Sheep'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)", "title": "Hunt, Our English Coasts (\"Strayed Sheep\")", "progress_key": "v719746437", "edit_slug": "edit/v/719746437", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "William Holman Hunt, Our English Coasts ('Strayed Sheep'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hunt-our-english-coasts-strayed-sheep"}, "node_slug": "v/william-holman-hunt--our-english-coasts---strayed-sheep----1852", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-13T08:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tIqO2GS8O64.mp4/tIqO2GS8O64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tIqO2GS8O64.mp4/tIqO2GS8O64.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tIqO2GS8O64.m3u8/tIqO2GS8O64.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tIqO2GS8O64&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719746437", "sha": "aa803bc701bd902ef17b958a05eea8c1251bf9a0", "translated_description": "William Holman Hunt, Our English Coasts ('Strayed Sheep'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/tIqO2GS8O64/hqdefault.jpg", "youtube_id": "tIqO2GS8O64", "content_kind": "Video", "readable_id": "william-holman-hunt--our-english-coasts---strayed-sheep----1852"}, {"translated_youtube_id": "9gnM72T4DTE", "relative_url": "/video/william-holman-hunt--the-awakening-conscience--1853", "has_questions": false, "keywords": "Hunt, Awakening, London, GAP, William Holman Hunt, Awakening Conscience, 1853, Tate Britain, Khan Academy, smarthistory, art history, Google Art Project, OER, painting, morality", "ka_url": "http://www.khanacademy.org/video/william-holman-hunt--the-awakening-conscience--1853", "duration": 289, "translated_title": "Hunt, the Awakening Conscience", "translated_description_html": "William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)", "id": "708157438", "description_html": "William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)", "title": "Hunt, the Awakening Conscience", "progress_key": "v708157438", "edit_slug": "edit/v/708157438", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hunt-the-awakening-conscience"}, "node_slug": "v/william-holman-hunt--the-awakening-conscience--1853", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9gnM72T4DTE.mp4/9gnM72T4DTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9gnM72T4DTE.mp4/9gnM72T4DTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9gnM72T4DTE.m3u8/9gnM72T4DTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9gnM72T4DTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708157438", "sha": "453b1b2bd4a19dcfffcfb9c283eb1c1febfefb4d", "translated_description": "William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/9gnM72T4DTE/hqdefault.jpg", "youtube_id": "9gnM72T4DTE", "content_kind": "Video", "readable_id": "william-holman-hunt--the-awakening-conscience--1853"}, {"translated_youtube_id": "I2M7U8eCeHA", "relative_url": "/video/sir-john-everett-millais--ophelia--1851-52", "has_questions": false, "keywords": "Millais, Ophelia, GAP, Art History, Shakespeare, Hamlet, Pre-Raphaelite, Tate, Tate Britain, Khan Academy, suicide, Google Art Project", "ka_url": "http://www.khanacademy.org/video/sir-john-everett-millais--ophelia--1851-52", "duration": 327, "translated_title": "Sir John Everett Millais, Ophelia", "translated_description_html": "Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)", "id": "719624694", "description_html": "Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)", "title": "Sir John Everett Millais, Ophelia", "progress_key": "v719624694", "edit_slug": "edit/v/719624694", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sir-john-everett-millais-ophelia"}, "node_slug": "v/sir-john-everett-millais--ophelia--1851-52", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I2M7U8eCeHA.mp4/I2M7U8eCeHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I2M7U8eCeHA.mp4/I2M7U8eCeHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I2M7U8eCeHA.m3u8/I2M7U8eCeHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I2M7U8eCeHA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719624694", "sha": "d295380a867ebfcc46d13b4a46a6c064a0a532e1", "translated_description": "Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/I2M7U8eCeHA/hqdefault.jpg", "youtube_id": "I2M7U8eCeHA", "content_kind": "Video", "readable_id": "sir-john-everett-millais--ophelia--1851-52"}, {"translated_youtube_id": "nRPLiTZAry4", "relative_url": "/video/sir-john-everett-millais--christ-in-the-house-of-his-parents--1849-50", "has_questions": false, "keywords": "Millais, GAP, Art History, Pre-Raphaelites, Victorian, Christ, Typology, Sir John Everett Millais, 1849, 1850, Tate Britain, London, Khan Academy, smarthistory, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/sir-john-everett-millais--christ-in-the-house-of-his-parents--1849-50", "duration": 270, "translated_title": "Sir John Everett Millais, Christ in the House of His Parents", "translated_description_html": "Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)", "id": "719842166", "description_html": "Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)", "title": "Sir John Everett Millais, Christ in the House of His Parents", "progress_key": "v719842166", "edit_slug": "edit/v/719842166", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sir-john-everett-millais-christ-in-the-house-of-his-parents"}, "node_slug": "v/sir-john-everett-millais--christ-in-the-house-of-his-parents--1849-50", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nRPLiTZAry4.mp4/nRPLiTZAry4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nRPLiTZAry4.mp4/nRPLiTZAry4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nRPLiTZAry4.m3u8/nRPLiTZAry4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nRPLiTZAry4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842166", "sha": "07395ee227c658893410962d63e1e104a794ce31", "translated_description": "Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/nRPLiTZAry4/hqdefault.jpg", "youtube_id": "nRPLiTZAry4", "content_kind": "Video", "readable_id": "sir-john-everett-millais--christ-in-the-house-of-his-parents--1849-50"}, {"translated_youtube_id": "DjNMJpdFPGA", "relative_url": "/video/sir-john-everett-millais--mariana-1851", "has_questions": false, "keywords": "Pre-Raphaelite, Tate Britain, Khan Academy, smarthistory, art history, Google Art Project, OER, Sir John Everett Millais, Millais, Mariana, 1851", "ka_url": "http://www.khanacademy.org/video/sir-john-everett-millais--mariana-1851", "duration": 311, "translated_title": "Millais, Mariana", "translated_description_html": "Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)", "id": "719474986", "description_html": "Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)", "title": "Millais, Mariana", "progress_key": "v719474986", "edit_slug": "edit/v/719474986", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/millais-mariana"}, "node_slug": "v/sir-john-everett-millais--mariana-1851", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DjNMJpdFPGA.mp4/DjNMJpdFPGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DjNMJpdFPGA.mp4/DjNMJpdFPGA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DjNMJpdFPGA.m3u8/DjNMJpdFPGA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DjNMJpdFPGA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474986", "sha": "f006d8cd4e0b3dd8c3722b466e9d476633ac4c14", "translated_description": "Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)", "image_url": "https://img.youtube.com/vi/DjNMJpdFPGA/hqdefault.jpg", "youtube_id": "DjNMJpdFPGA", "content_kind": "Video", "readable_id": "sir-john-everett-millais--mariana-1851"}, {"translated_youtube_id": "20n0i2KQRCs", "relative_url": "/video/millais--the-vale-of-rest--where-the-weary-find-repose--1858", "has_questions": false, "keywords": "Millais, Pre-Raphaelite, Tate Britain, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/millais--the-vale-of-rest--where-the-weary-find-repose--1858", "duration": 237, "translated_title": "Millais, The Vale of Rest", "translated_description_html": "Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "669368681", "description_html": "Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Millais, The Vale of Rest", "progress_key": "v669368681", "edit_slug": "edit/v/669368681", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/millais-the-vale-of-rest"}, "node_slug": "v/millais--the-vale-of-rest--where-the-weary-find-repose--1858", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/20n0i2KQRCs.mp4/20n0i2KQRCs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/20n0i2KQRCs.mp4/20n0i2KQRCs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/20n0i2KQRCs.m3u8/20n0i2KQRCs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=20n0i2KQRCs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368681", "sha": "b1322c977ef1b64ffcf2d0211e8acc9fe335918b", "translated_description": "Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/20n0i2KQRCs/hqdefault.jpg", "youtube_id": "20n0i2KQRCs", "content_kind": "Video", "readable_id": "millais--the-vale-of-rest--where-the-weary-find-repose--1858"}, {"translated_youtube_id": "GlkqvEOYicA", "relative_url": "/video/dyce--pegwell-bay--kent--1858-60", "has_questions": false, "keywords": "art, art history, smarthistory, Dyce, Pre-Raphaelite, Victorian", "ka_url": "http://www.khanacademy.org/video/dyce--pegwell-bay--kent--1858-60", "duration": 266, "translated_title": "Dyce's Pegwell Bay, Kent - a Recollection of October 5th, 1858", "translated_description_html": "William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "669368689", "description_html": "William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Dyce's Pegwell Bay, Kent - a Recollection of October 5th, 1858", "progress_key": "v669368689", "edit_slug": "edit/v/669368689", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pegwell-bay-kent-a-recollection"}, "node_slug": "v/dyce--pegwell-bay--kent--1858-60", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GlkqvEOYicA.mp4/GlkqvEOYicA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GlkqvEOYicA.mp4/GlkqvEOYicA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GlkqvEOYicA.m3u8/GlkqvEOYicA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GlkqvEOYicA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368689", "sha": "a6fcab36f9351e207b21a55bda2b46b897f6215f", "translated_description": "William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/GlkqvEOYicA/hqdefault.jpg", "youtube_id": "GlkqvEOYicA", "content_kind": "Video", "readable_id": "dyce--pegwell-bay--kent--1858-60"}, {"translated_youtube_id": "zA2KSx5OYog", "relative_url": "/video/john-roddam-spencer-stanhope--thoughts-of-the-past--exhibited-1859", "has_questions": false, "keywords": "Smarthistory, Art History, Pre-Raphaelites, Tate Britain, Prostitution, Victorian, John Roddam Spencer Stanhope, Thoughts of the Past, 1859, Stanhope, Khan Academy, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/john-roddam-spencer-stanhope--thoughts-of-the-past--exhibited-1859", "duration": 228, "translated_title": "John Roddam Spencer Stanhope, Thoughts of the Past", "translated_description_html": "John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)", "id": "719832195", "description_html": "John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)", "title": "John Roddam Spencer Stanhope, Thoughts of the Past", "progress_key": "v719832195", "edit_slug": "edit/v/719832195", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/john-roddam-spencer-stanhopes-thoughts-of-the-past"}, "node_slug": "v/john-roddam-spencer-stanhope--thoughts-of-the-past--exhibited-1859", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-13T08:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zA2KSx5OYog.mp4/zA2KSx5OYog.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zA2KSx5OYog.mp4/zA2KSx5OYog.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zA2KSx5OYog.m3u8/zA2KSx5OYog.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zA2KSx5OYog&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719832195", "sha": "f770b840fe85264845a2f9a206e859defbd749ac", "translated_description": "John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/zA2KSx5OYog/hqdefault.jpg", "youtube_id": "zA2KSx5OYog", "content_kind": "Video", "readable_id": "john-roddam-spencer-stanhope--thoughts-of-the-past--exhibited-1859"}, {"translated_youtube_id": "iPb5zeXTsSE", "relative_url": "/video/burne-jones--king-cophetua-and-the-beggar-maid--1884", "has_questions": false, "keywords": "Pre-Raphaelites, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/burne-jones--king-cophetua-and-the-beggar-maid--1884", "duration": 274, "translated_title": "Burne-Jones, King Cophetua and the Beggar Maid", "translated_description_html": "Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671593307", "description_html": "Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Burne-Jones, King Cophetua and the Beggar Maid", "progress_key": "v671593307", "edit_slug": "edit/v/671593307", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/King-Cophetua-and-the-Beggar-Maid"}, "node_slug": "v/burne-jones--king-cophetua-and-the-beggar-maid--1884", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iPb5zeXTsSE.mp4/iPb5zeXTsSE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iPb5zeXTsSE.mp4/iPb5zeXTsSE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iPb5zeXTsSE.m3u8/iPb5zeXTsSE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iPb5zeXTsSE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593307", "sha": "0cb467a61c7953838077a244fecea071a1650a09", "translated_description": "Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/iPb5zeXTsSE/hqdefault.jpg", "youtube_id": "iPb5zeXTsSE", "content_kind": "Video", "readable_id": "burne-jones--king-cophetua-and-the-beggar-maid--1884"}, {"translated_youtube_id": "VQniy8iq9EQ", "relative_url": "/video/sir-edward-coley-burne-jones--the-golden-stairs--1880", "has_questions": false, "keywords": "Burne-Jones, Golden Stairs, Pre-Raphaelite, Music, Aesthetic movement, Khan Academy, smarthistory, art history, Google Art Project, OER, Tate Britain, London", "ka_url": "http://www.khanacademy.org/video/sir-edward-coley-burne-jones--the-golden-stairs--1880", "duration": 191, "translated_title": "Burne-Jones, The Golden Stairs", "translated_description_html": "Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)", "id": "719824439", "description_html": "Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)", "title": "Burne-Jones, The Golden Stairs", "progress_key": "v719824439", "edit_slug": "edit/v/719824439", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/burne-jones-the-golden-stairs"}, "node_slug": "v/sir-edward-coley-burne-jones--the-golden-stairs--1880", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VQniy8iq9EQ.mp4/VQniy8iq9EQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VQniy8iq9EQ.mp4/VQniy8iq9EQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VQniy8iq9EQ.m3u8/VQniy8iq9EQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VQniy8iq9EQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719824439", "sha": "6c95b634fe431b93e3dc0a3fc0472e5129d477cc", "translated_description": "Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/VQniy8iq9EQ/hqdefault.jpg", "youtube_id": "VQniy8iq9EQ", "content_kind": "Video", "readable_id": "sir-edward-coley-burne-jones--the-golden-stairs--1880"}, {"translated_youtube_id": "F00vnE37pIE", "relative_url": "/video/sir-edward-burne-jones--hope--1896", "has_questions": false, "keywords": "Burne-Jones, Hope, 1896, Museum of Fine Arts, Boston, British, allegory, Google Art Project, Smarthistory, Khan Academy, OER, art history", "ka_url": "http://www.khanacademy.org/video/sir-edward-burne-jones--hope--1896", "duration": 311, "translated_title": "Burne-Jones, Hope", "translated_description_html": "Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)", "id": "719824440", "description_html": "Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)", "title": "Burne-Jones, Hope", "progress_key": "v719824440", "edit_slug": "edit/v/719824440", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/burne-jones-hope"}, "node_slug": "v/sir-edward-burne-jones--hope--1896", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/F00vnE37pIE.mp4/F00vnE37pIE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F00vnE37pIE.mp4/F00vnE37pIE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F00vnE37pIE.m3u8/F00vnE37pIE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=F00vnE37pIE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719824440", "sha": "439ac8f1a80d96380a2b8fc553272e426b88df70", "translated_description": "Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/F00vnE37pIE/hqdefault.jpg", "youtube_id": "F00vnE37pIE", "content_kind": "Video", "readable_id": "sir-edward-burne-jones--hope--1896"}, {"translated_youtube_id": "HNoyVb1hr7g", "relative_url": "/video/henry-wallis--chatterton--1856", "has_questions": false, "keywords": "Poetry, Suicide, Tate Britain, Henry Wallis, Wallis, Chatterton, 1856, London, Garret, Khan Academy, smarthistory, art history, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/henry-wallis--chatterton--1856", "duration": 220, "translated_title": "Wallis, Chatterton", "translated_description_html": "Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)", "id": "719804659", "description_html": "Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)", "title": "Wallis, Chatterton", "progress_key": "v719804659", "edit_slug": "edit/v/719804659", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/wallis-chatterton"}, "node_slug": "v/henry-wallis--chatterton--1856", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-13T08:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HNoyVb1hr7g.mp4/HNoyVb1hr7g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HNoyVb1hr7g.mp4/HNoyVb1hr7g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HNoyVb1hr7g.m3u8/HNoyVb1hr7g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HNoyVb1hr7g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719804659", "sha": "da4e6ac9a0da81c12ba0148e0ef5c2d06a670a55", "translated_description": "Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/HNoyVb1hr7g/hqdefault.jpg", "youtube_id": "HNoyVb1hr7g", "content_kind": "Video", "readable_id": "henry-wallis--chatterton--1856"}, {"translated_youtube_id": "OMEDRrGpybY", "relative_url": "/video/william-butterfield--all-saints-church--margaret-street", "has_questions": false, "keywords": "William, Butterfield, All, Saints, Church, Margaret, Street, London, 1849, 1859, Victorian, Architecture, Gothic, Revival, Neo-Gothic, Ruskin", "ka_url": "http://www.khanacademy.org/video/william-butterfield--all-saints-church--margaret-street", "duration": 495, "translated_title": "William Butterfield, All Saints, Margaret Street", "translated_description_html": "William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.", "id": "879734537", "description_html": "William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.", "title": "William Butterfield, All Saints, Margaret Street", "progress_key": "v879734537", "edit_slug": "edit/v/879734537", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/all-saints-margaret-street"}, "node_slug": "v/william-butterfield--all-saints-church--margaret-street", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-06-30T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OMEDRrGpybY.mp4/OMEDRrGpybY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OMEDRrGpybY.mp4/OMEDRrGpybY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OMEDRrGpybY.m3u8/OMEDRrGpybY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OMEDRrGpybY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v879734537", "sha": "88cb1878d562901a718a1265b674daa611e3bdd7", "translated_description": "William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.", "image_url": "https://img.youtube.com/vi/OMEDRrGpybY/hqdefault.jpg", "youtube_id": "OMEDRrGpybY", "content_kind": "Video", "readable_id": "william-butterfield--all-saints-church--margaret-street"}], "twitter_url": "", "translated_description": "In 1848, a small group of young artists banded together and formed “The Pre-Raphaelite Brotherhood,” a name which sounds intentionally backward-looking and medieval. The Pre-Raphaelites looked back to art before the time of Raphael (before about 1500 that is)—before the art of the Renaissance was reduced to formulas followed for centuries by artists associated with the art academies of Europe. Their idea was that the art before Raphael was more sincere, more true to nature and how we see, and therefore less formulaic. These artists also embraced a wide range of subjects, including modern life, biblical and literary subjects, and even history. By looking backwards, the Pre-Raphaelites led British art into the modern era.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In 1848, a small group of young artists banded together and formed “The Pre-Raphaelite Brotherhood,” a name which sounds intentionally backward-looking and medieval. The Pre-Raphaelites looked back to art before the time of Raphael (before about 1500 that is)—before the art of the Renaissance was reduced to formulas followed for centuries by artists associated with the art academies of Europe. Their idea was that the art before Raphael was more sincere, more true to nature and how we see, and therefore less formulaic. These artists also embraced a wide range of subjects, including modern life, biblical and literary subjects, and even history. By looking backwards, the Pre-Raphaelites led British art into the modern era.", "x_pos": 0.0, "node_slug": "pre-raphaelites", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe6a81777", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/pre-raphaelites", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/pre-raphaelites", "slug": "pre-raphaelites", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c49fa32ef2e8457c8d31d1531f68d002518a6a70", "standalone_title": "Art History: Pre-Raphaelites", "y_pos": 0.0, "current_revision_key": "c49fa32ef2e8457c8d31d1531f68d002518a6a70", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/late-victorian", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/late-victorian", "translated_standalone_title": "Art History: Late Victorian", "translated_title": "Late Victorian", "gplus_url": "", "id": "x1bbb9ad1", "old_key_name": "o8t8kCU_xfRHXOpmXsPmPjD8hj1zeidAyQkLnTVX", "hide": false, "title": "Late Victorian", "child_data": [{"kind": "Video", "id": 708175162}, {"kind": "Video", "id": 719728954}, {"kind": "Video", "id": 719842165}, {"kind": "Exercise", "id": "xa85512d2"}], "children": [{"translated_youtube_id": "YDYxQMBm50k", "relative_url": "/video/sir-lawrence-alma-tadema--a-reading-from-homer--1885", "has_questions": false, "keywords": "Sir Lawrence Alma-Tadema, Alma-Tadema, A Reading from Homer, Reading, Homer, 1885, Philadelphia Museum of Art, Philadelphia, Victorian, Ancient Greece, Epic Poetry, Listening, art, painting, art history, Khan Academy, Google Art Project, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/sir-lawrence-alma-tadema--a-reading-from-homer--1885", "duration": 241, "translated_title": "Alma-Tadema, Listening to Homer", "translated_description_html": "Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)", "id": "708175162", "description_html": "Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)", "title": "Alma-Tadema, Listening to Homer", "progress_key": "v708175162", "edit_slug": "edit/v/708175162", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/late-victorian-alma-tadema-listening-to-homer"}, "node_slug": "v/sir-lawrence-alma-tadema--a-reading-from-homer--1885", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YDYxQMBm50k.mp4/YDYxQMBm50k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YDYxQMBm50k.mp4/YDYxQMBm50k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YDYxQMBm50k.m3u8/YDYxQMBm50k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YDYxQMBm50k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708175162", "sha": "4ac5079dc346c31137c562e8e9609929d8d7516b", "translated_description": "Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/YDYxQMBm50k/hqdefault.jpg", "youtube_id": "YDYxQMBm50k", "content_kind": "Video", "readable_id": "sir-lawrence-alma-tadema--a-reading-from-homer--1885"}, {"translated_youtube_id": "99hAYY4usME", "relative_url": "/video/sir-frederic-leighton--an-athlete-wrestling-with-a-python--1877", "has_questions": false, "keywords": "Frederic Leighton, Leighton, Athlete, Wrestling, Python, 1877, bronze, Tate Britain, English, The New Sculpture, Sculpture, Nude, Male, Art, Cast, Google Art Project, Smarthistory, Khan Academy, OER, art history, England", "ka_url": "http://www.khanacademy.org/video/sir-frederic-leighton--an-athlete-wrestling-with-a-python--1877", "duration": 304, "translated_title": "Leighton, an Athlete Wrestling with a Python", "translated_description_html": "Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)", "id": "719728954", "description_html": "Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)", "title": "Leighton, an Athlete Wrestling with a Python", "progress_key": "v719728954", "edit_slug": "edit/v/719728954", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/leightons-an-athlete-wrestling-with-a-python"}, "node_slug": "v/sir-frederic-leighton--an-athlete-wrestling-with-a-python--1877", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/99hAYY4usME.mp4/99hAYY4usME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/99hAYY4usME.mp4/99hAYY4usME.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/99hAYY4usME.m3u8/99hAYY4usME.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=99hAYY4usME&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719728954", "sha": "2847382136cfc9df7f7a2ff550b41bcc39aa7618", "translated_description": "Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/99hAYY4usME/hqdefault.jpg", "youtube_id": "99hAYY4usME", "content_kind": "Video", "readable_id": "sir-frederic-leighton--an-athlete-wrestling-with-a-python--1877"}, {"translated_youtube_id": "-bnCHws9qmw", "relative_url": "/video/john-singer-sargent--carnation--lily--lily--rose--1885-86", "has_questions": false, "keywords": "John Singer Sargent, Carnation, Lily, Rose, 1885, 1886, Tate, Britain, Sargent, painting, art history, OER, Google Art Project, Smarthistory, Khan Academy, Educational", "ka_url": "http://www.khanacademy.org/video/john-singer-sargent--carnation--lily--lily--rose--1885-86", "duration": 256, "translated_title": "Sargent, Carnation, Lily, Lily, Rose", "translated_description_html": "John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)", "id": "719842165", "description_html": "John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)", "title": "Sargent, Carnation, Lily, Lily, Rose", "progress_key": "v719842165", "edit_slug": "edit/v/719842165", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/sargent-carnation-lily-lily-rose"}, "node_slug": "v/john-singer-sargent--carnation--lily--lily--rose--1885-86", "deleted": false, "backup_timestamp": "2013-09-24T15:20:16Z", "date_added": "2012-04-13T08:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.mp4/-bnCHws9qmw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.mp4/-bnCHws9qmw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.m3u8/-bnCHws9qmw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-bnCHws9qmw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842165", "sha": "6ebbda86edb6fbace103b804c6e189799d55e79b", "translated_description": "John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)", "image_url": "https://img.youtube.com/vi/-bnCHws9qmw/hqdefault.jpg", "youtube_id": "-bnCHws9qmw", "content_kind": "Video", "readable_id": "john-singer-sargent--carnation--lily--lily--rose--1885-86"}], "twitter_url": "", "translated_description": "British art saw a return to the classical after the 1860s, not just in terms of style, but also subject matter. Alma Tadema created sensual Victorian visions of the ancient Greeks and Romans, and Leighton too rendered classicizing figures and subjects. Both of these artists, together with Sargent, were influenced by the Aesthetic Movement, where the subject or narrative of a work of art was minimized in favor of a focus on issues of form (color harmonies, line, composition).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "British art saw a return to the classical after the 1860s, not just in terms of style, but also subject matter. Alma Tadema created sensual Victorian visions of the ancient Greeks and Romans, and Leighton too rendered classicizing figures and subjects. Both of these artists, together with Sargent, were influenced by the Aesthetic Movement, where the subject or narrative of a work of art was minimized in favor of a focus on issues of form (color harmonies, line, composition).", "x_pos": 0.0, "node_slug": "late-victorian", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1bbb9ad1", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/late-victorian", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/late-victorian", "slug": "late-victorian", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5b2fbd37de30c105a7cddbe1bed6abf8784a131e", "standalone_title": "Art History: Late Victorian", "y_pos": 0.0, "current_revision_key": "5b2fbd37de30c105a7cddbe1bed6abf8784a131e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/realism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/realism", "translated_standalone_title": "Art History: Realism", "translated_title": "Realism", "gplus_url": "", "id": "xdfbfdcce", "old_key_name": "Kz60fttHDaGmGGl5x2zaXUFtcyVmNAgw3iQAfMqh", "hide": false, "title": "Realism", "child_data": [{"kind": "Video", "id": 671385804}, {"kind": "Video", "id": 669368683}, {"kind": "Video", "id": 671385805}, {"kind": "Video", "id": 671718098}, {"kind": "Video", "id": 671593303}, {"kind": "Video", "id": 671656228}, {"kind": "Video", "id": 671593304}, {"kind": "Video", "id": 671385812}, {"kind": "Video", "id": 719842167}, {"kind": "Video", "id": 719474985}, {"kind": "Video", "id": 671634396}, {"kind": "Video", "id": 1239463263}, {"kind": "Video", "id": 670111809}, {"kind": "Video", "id": 671718099}, {"kind": "Video", "id": 669368684}, {"kind": "Video", "id": 669368687}, {"kind": "Video", "id": 708126673}, {"kind": "Video", "id": 671718101}, {"kind": "Video", "id": 671385816}, {"kind": "Video", "id": 719781806}, {"kind": "Video", "id": 708153520}, {"kind": "Exercise", "id": "x7fb90be3"}], "children": [{"translated_youtube_id": "zRuLkyLx3No", "relative_url": "/video/courbet--a-burial-at-ornans---1850", "has_questions": false, "keywords": "Courbet, Burial at Ornans, Musee d'Orsay, Paris, Realism, Art History", "ka_url": "http://www.khanacademy.org/video/courbet--a-burial-at-ornans---1850", "duration": 384, "translated_title": "Courbet, Burial at Ornans", "translated_description_html": "Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671385804", "description_html": "Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Courbet, Burial at Ornans", "progress_key": "v671385804", "edit_slug": "edit/v/671385804", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/courbet-burial-at-ornans.html"}, "node_slug": "v/courbet--a-burial-at-ornans---1850", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-03-20T19:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zRuLkyLx3No.mp4/zRuLkyLx3No.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zRuLkyLx3No.mp4/zRuLkyLx3No.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zRuLkyLx3No.m3u8/zRuLkyLx3No.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zRuLkyLx3No&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385804", "sha": "3e1aa105f3b6f3c5521877ae09b710f71d83bbb9", "translated_description": "Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/zRuLkyLx3No/hqdefault.jpg", "youtube_id": "zRuLkyLx3No", "content_kind": "Video", "readable_id": "courbet--a-burial-at-ornans---1850"}, {"translated_youtube_id": "SvFtmPhbNRw", "relative_url": "/video/courbet--the-artist-s-studio--1854-55", "has_questions": false, "keywords": "Courbet, The artist's studio, art history, smarthistory, realism, Musée d'Orsay, Paris, history of art", "ka_url": "http://www.khanacademy.org/video/courbet--the-artist-s-studio--1854-55", "duration": 325, "translated_title": "Courbet, The Artist's Studio, a real allegory summing up seven years of my artistic and moral life", "translated_description_html": "Gustave Courbet, The Artist's Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "669368683", "description_html": "Gustave Courbet, The Artist's Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Courbet, The Artist's Studio, a real allegory summing up seven years of my artistic and moral life", "progress_key": "v669368683", "edit_slug": "edit/v/669368683", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Gustave Courbet, The Artist's Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/courbet-the-studio.html"}, "node_slug": "v/courbet--the-artist-s-studio--1854-55", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SvFtmPhbNRw.mp4/SvFtmPhbNRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SvFtmPhbNRw.mp4/SvFtmPhbNRw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SvFtmPhbNRw.m3u8/SvFtmPhbNRw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SvFtmPhbNRw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368683", "sha": "57e93875eb23599b3a9f50a1752b2d06f092d318", "translated_description": "Gustave Courbet, The Artist's Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/SvFtmPhbNRw/hqdefault.jpg", "youtube_id": "SvFtmPhbNRw", "content_kind": "Video", "readable_id": "courbet--the-artist-s-studio--1854-55"}, {"translated_youtube_id": "kOnzZHJYzb4", "relative_url": "/video/rosa-bonheur--plowing-in-the-nivernais--1849", "has_questions": false, "keywords": "Rosa Bonheur, Bonheur, Plowing in the Nivernais, French painting, women in art, 19th century, Realism, animals in art, smarthistory", "ka_url": "http://www.khanacademy.org/video/rosa-bonheur--plowing-in-the-nivernais--1849", "duration": 209, "translated_title": "Bonheur, Plowing in the Nivernais", "translated_description_html": "Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671385805", "description_html": "Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Bonheur, Plowing in the Nivernais", "progress_key": "v671385805", "edit_slug": "edit/v/671385805", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": ""}, "node_slug": "v/rosa-bonheur--plowing-in-the-nivernais--1849", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kOnzZHJYzb4.mp4/kOnzZHJYzb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kOnzZHJYzb4.mp4/kOnzZHJYzb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kOnzZHJYzb4.m3u8/kOnzZHJYzb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kOnzZHJYzb4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v671385805", "sha": "d339702479c17396cbb63ef50771b71910e0890c", "translated_description": "Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/kOnzZHJYzb4/hqdefault.jpg", "youtube_id": "kOnzZHJYzb4", "content_kind": "Video", "readable_id": "rosa-bonheur--plowing-in-the-nivernais--1849"}, {"translated_youtube_id": "76gw8PA12ag", "relative_url": "/video/bonheur--sheep-in-the-highlands--1857", "has_questions": false, "keywords": "Smarthistory, Art History, Bonheur, Rose Bonheur, Realism", "ka_url": "http://www.khanacademy.org/video/bonheur--sheep-in-the-highlands--1857", "duration": 145, "translated_title": "Bonheur, Sheep in the Highlands", "translated_description_html": "Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.", "id": "671718098", "description_html": "Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.", "title": "Bonheur, Sheep in the Highlands", "progress_key": "v671718098", "edit_slug": "edit/v/671718098", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/sheep-in-the-highlands"}, "node_slug": "v/bonheur--sheep-in-the-highlands--1857", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/76gw8PA12ag.mp4/76gw8PA12ag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/76gw8PA12ag.mp4/76gw8PA12ag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/76gw8PA12ag.m3u8/76gw8PA12ag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=76gw8PA12ag&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718098", "sha": "f86d040b8fe5363d7da4e0c971092217d1f36dca", "translated_description": "Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.", "image_url": "https://img.youtube.com/vi/76gw8PA12ag/hqdefault.jpg", "youtube_id": "76gw8PA12ag", "content_kind": "Video", "readable_id": "bonheur--sheep-in-the-highlands--1857"}, {"translated_youtube_id": "3KjZ3w5MtBo", "relative_url": "/video/millet--l-ang-lus--ca--1857-1859", "has_questions": false, "keywords": "Millet, smarthistory, art history, realism", "ka_url": "http://www.khanacademy.org/video/millet--l-ang-lus--ca--1857-1859", "duration": 145, "translated_title": "Millet, L'Angelus", "translated_description_html": "Jean-François Millet (French), L'Angélus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 × 66.0 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "id": "671593303", "description_html": "Jean-François Millet (French), L'Angélus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 × 66.0 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "title": "Millet, L'Angelus", "progress_key": "v671593303", "edit_slug": "edit/v/671593303", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean-François Millet (French), L'Angélus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 × 66.0 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/millet-langelus"}, "node_slug": "v/millet--l-ang-lus--ca--1857-1859", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3KjZ3w5MtBo.mp4/3KjZ3w5MtBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3KjZ3w5MtBo.mp4/3KjZ3w5MtBo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3KjZ3w5MtBo.m3u8/3KjZ3w5MtBo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3KjZ3w5MtBo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593303", "sha": "cf1ef797aaed343b3962d06b5d500c311d5924c6", "translated_description": "Jean-François Millet (French), L'Angélus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 × 66.0 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org", "image_url": "https://img.youtube.com/vi/3KjZ3w5MtBo/hqdefault.jpg", "youtube_id": "3KjZ3w5MtBo", "content_kind": "Video", "readable_id": "millet--l-ang-lus--ca--1857-1859"}, {"translated_youtube_id": "Dk1nuM5JKqQ", "relative_url": "/video/millet--gleaners--1857", "has_questions": false, "keywords": "Millet, Gleaners, Smarthistory, Art History, Realism", "ka_url": "http://www.khanacademy.org/video/millet--gleaners--1857", "duration": 229, "translated_title": "Millet, The Gleaners", "translated_description_html": "Jean-François Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html", "id": "671656228", "description_html": "Jean-François Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html", "title": "Millet, The Gleaners", "progress_key": "v671656228", "edit_slug": "edit/v/671656228", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean-François Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/jean-francois-millet-french-the-gleaners-1857"}, "node_slug": "v/millet--gleaners--1857", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dk1nuM5JKqQ.mp4/Dk1nuM5JKqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dk1nuM5JKqQ.mp4/Dk1nuM5JKqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dk1nuM5JKqQ.m3u8/Dk1nuM5JKqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Dk1nuM5JKqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656228", "sha": "8f0d0e1edb606996bcf494d646f7c584caf97863", "translated_description": "Jean-François Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html", "image_url": "https://img.youtube.com/vi/Dk1nuM5JKqQ/hqdefault.jpg", "youtube_id": "Dk1nuM5JKqQ", "content_kind": "Video", "readable_id": "millet--gleaners--1857"}, {"translated_youtube_id": "NigP3DjV3NY", "relative_url": "/video/degas--the-dance-class--1874", "has_questions": false, "keywords": "Edgar Degas, art history, Smarthistory, Impressionism, Ballet", "ka_url": "http://www.khanacademy.org/video/degas--the-dance-class--1874", "duration": 309, "translated_title": "Degas, The Dance Class", "translated_description_html": "Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "671593304", "description_html": "Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Degas, The Dance Class", "progress_key": "v671593304", "edit_slug": "edit/v/671593304", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/degas-dance-class"}, "node_slug": "v/degas--the-dance-class--1874", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NigP3DjV3NY.mp4/NigP3DjV3NY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NigP3DjV3NY.mp4/NigP3DjV3NY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NigP3DjV3NY.m3u8/NigP3DjV3NY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NigP3DjV3NY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593304", "sha": "22ef3fa279dc4b5d065de048f670018a4d7c215b", "translated_description": "Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/NigP3DjV3NY/hqdefault.jpg", "youtube_id": "NigP3DjV3NY", "content_kind": "Video", "readable_id": "degas--the-dance-class--1874"}, {"translated_youtube_id": "irLOxG7SpUk", "relative_url": "/video/degas--the-bellelli-family--1858-67", "has_questions": false, "keywords": "Degas Bellelli Famuily, Impressionism, Smarthistory, Art History, Musee d'Orsay, Edgar Degas Art history", "ka_url": "http://www.khanacademy.org/video/degas--the-bellelli-family--1858-67", "duration": 242, "translated_title": "Degas, The Bellelli Family", "translated_description_html": "Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches, 200 x 250 cm (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist's paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living—the Baron had been exiled from Naples. The picture may have been completed in Paris.", "id": "671385812", "description_html": "Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches, 200 x 250 cm (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist's paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living—the Baron had been exiled from Naples. The picture may have been completed in Paris.", "title": "Degas, The Bellelli Family", "progress_key": "v671385812", "edit_slug": "edit/v/671385812", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches, 200 x 250 cm (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist's paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living—the Baron had been exiled from Naples. The picture may have been completed in Paris.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-bellelli-family"}, "node_slug": "v/degas--the-bellelli-family--1858-67", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/irLOxG7SpUk.mp4/irLOxG7SpUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/irLOxG7SpUk.mp4/irLOxG7SpUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/irLOxG7SpUk.m3u8/irLOxG7SpUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=irLOxG7SpUk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385812", "sha": "eb931edfbaf3861e29be62042dfab28e144702d2", "translated_description": "Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches, 200 x 250 cm (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist's paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living—the Baron had been exiled from Naples. The picture may have been completed in Paris.", "image_url": "https://img.youtube.com/vi/irLOxG7SpUk/hqdefault.jpg", "youtube_id": "irLOxG7SpUk", "content_kind": "Video", "readable_id": "degas--the-bellelli-family--1858-67"}, {"translated_youtube_id": "6HTBjvqn9uw", "relative_url": "/video/edgar-degas--at-the-races-in-the-countryside--1869", "has_questions": false, "keywords": "Degas, Races, GAP, Art History, Khan Academy, Paris, Impressionism, Edgar Degas, Landscape, Family, smarthistory, OER, Museum of Fine Arts, Boston, 1869", "ka_url": "http://www.khanacademy.org/video/edgar-degas--at-the-races-in-the-countryside--1869", "duration": 232, "translated_title": "Degas, At the Races in the Countryside", "translated_description_html": "Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)", "id": "719842167", "description_html": "Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)", "title": "Degas, At the Races in the Countryside", "progress_key": "v719842167", "edit_slug": "edit/v/719842167", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/degass-at-the-races-in-the-countryside"}, "node_slug": "v/edgar-degas--at-the-races-in-the-countryside--1869", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6HTBjvqn9uw.mp4/6HTBjvqn9uw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6HTBjvqn9uw.mp4/6HTBjvqn9uw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6HTBjvqn9uw.m3u8/6HTBjvqn9uw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6HTBjvqn9uw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842167", "sha": "c4f837d03f05a4f7cdd7246e370ff2ad703daec3", "translated_description": "Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/6HTBjvqn9uw/hqdefault.jpg", "youtube_id": "6HTBjvqn9uw", "content_kind": "Video", "readable_id": "edgar-degas--at-the-races-in-the-countryside--1869"}, {"translated_youtube_id": "wvtPCKwGZCU", "relative_url": "/video/edgar-degas--visit-to-a-museum--c--1879--90", "has_questions": false, "keywords": "Edgar Degas, Degas, Visit to a Museum, 1879, 1890, Museum of Fine Arts, Boston, Paris, Louvre, Cassatt, Mary Cassatt, Lydia, looking at art, gesture, series, painting, art, Impressionism, Realism, Educational, Google Art Project, Smarthistory, Khan Academy, OER, art history, museum visitor", "ka_url": "http://www.khanacademy.org/video/edgar-degas--visit-to-a-museum--c--1879--90", "duration": 325, "translated_title": "Degas, Visit to a Museum", "translated_description_html": "Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)", "id": "719474985", "description_html": "Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)", "title": "Degas, Visit to a Museum", "progress_key": "v719474985", "edit_slug": "edit/v/719474985", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/degass-visit-to-a-museum"}, "node_slug": "v/edgar-degas--visit-to-a-museum--c--1879--90", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wvtPCKwGZCU.mp4/wvtPCKwGZCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wvtPCKwGZCU.mp4/wvtPCKwGZCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wvtPCKwGZCU.m3u8/wvtPCKwGZCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wvtPCKwGZCU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474985", "sha": "cb4db548114ab3aa98dcd60441359a1eebcc8172", "translated_description": "Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/wvtPCKwGZCU/hqdefault.jpg", "youtube_id": "wvtPCKwGZCU", "content_kind": "Video", "readable_id": "edgar-degas--visit-to-a-museum--c--1879--90"}, {"translated_youtube_id": "Nb_4nEFyeGk", "relative_url": "/video/manet--le-d-jeuner-sur-l-herbe--luncheon-on-the-grass----1863", "has_questions": false, "keywords": "Manet, Luncheon on the Grass, Édouard Manet, Musee d'Orsay, Paris, Realism, Impressionism", "ka_url": "http://www.khanacademy.org/video/manet--le-d-jeuner-sur-l-herbe--luncheon-on-the-grass----1863", "duration": 387, "translated_title": "Manet, Le déjeuner sur l'herbe", "translated_description_html": "Édouard Manet, Le déjeuner sur l'herbe (Luncheon on the Grass), oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671634396", "description_html": "Édouard Manet, Le déjeuner sur l'herbe (Luncheon on the Grass), oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Manet, Le déjeuner sur l'herbe", "progress_key": "v671634396", "edit_slug": "edit/v/671634396", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Édouard Manet, Le déjeuner sur l'herbe (Luncheon on the Grass), oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/edouard-manet-le-dejeuner-sur-lherbe.html"}, "node_slug": "v/manet--le-d-jeuner-sur-l-herbe--luncheon-on-the-grass----1863", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nb_4nEFyeGk.mp4/Nb_4nEFyeGk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nb_4nEFyeGk.mp4/Nb_4nEFyeGk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nb_4nEFyeGk.m3u8/Nb_4nEFyeGk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nb_4nEFyeGk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634396", "sha": "b04cdcf6425d648b805fa88f784e2ce5c231a072", "translated_description": "Édouard Manet, Le déjeuner sur l'herbe (Luncheon on the Grass), oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Nb_4nEFyeGk/hqdefault.jpg", "youtube_id": "Nb_4nEFyeGk", "content_kind": "Video", "readable_id": "manet--le-d-jeuner-sur-l-herbe--luncheon-on-the-grass----1863"}, {"translated_youtube_id": "bihBbqzL96Y", "relative_url": "/video/manet--olympia--1863--exhibited-1865", "has_questions": false, "keywords": "Manet,", "ka_url": "http://www.khanacademy.org/video/manet--olympia--1863--exhibited-1865", "duration": 434, "translated_title": "Manet, Olympia", "translated_description_html": "Édouard Manet, Olympia, oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "1239463263", "description_html": "Édouard Manet, Olympia, oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Manet, Olympia", "progress_key": "v1239463263", "edit_slug": "edit/v/1239463263", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Édouard Manet, Olympia, oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/manet-olympia.html"}, "node_slug": "v/manet--olympia--1863--exhibited-1865", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-19T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.mp4/bihBbqzL96Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.mp4/bihBbqzL96Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.m3u8/bihBbqzL96Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bihBbqzL96Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1239463263", "sha": "7bb4d4845feb334adae7203c06036c469d9575ef", "translated_description": "Édouard Manet, Olympia, oil on canvas, 1863 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/bihBbqzL96Y/hqdefault.jpg", "youtube_id": "bihBbqzL96Y", "content_kind": "Video", "readable_id": "manet--olympia--1863--exhibited-1865"}, {"translated_youtube_id": "znKX9WcowfY", "relative_url": "/video/manet---mile-zola--1868", "has_questions": false, "keywords": "Manet, Zola, Impressionism, art history, smarthistory, history of art, Realism", "ka_url": "http://www.khanacademy.org/video/manet---mile-zola--1868", "duration": 274, "translated_title": "Manet, Émile Zola", "translated_description_html": "Édouard Manet, Émile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Musée d'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe siècle and during Manet's independent exhibition \nheld along side the Universal Exposition in 1867.", "id": "670111809", "description_html": "Édouard Manet, Émile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Musée d'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe siècle and during Manet's independent exhibition \nheld along side the Universal Exposition in 1867.", "title": "Manet, Émile Zola", "progress_key": "v670111809", "edit_slug": "edit/v/670111809", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Édouard Manet, Émile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Musée d'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe siècle and during Manet's independent exhibition \nheld along side the Universal Exposition in 1867.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/manets-emile-zola.html"}, "node_slug": "v/manet---mile-zola--1868", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-03-20T19:13:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/znKX9WcowfY.mp4/znKX9WcowfY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znKX9WcowfY.mp4/znKX9WcowfY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/znKX9WcowfY.m3u8/znKX9WcowfY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=znKX9WcowfY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111809", "sha": "7d939d4076ef1725b1d664a8410a2f0976c05748", "translated_description": "Édouard Manet, Émile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Musée d'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe siècle and during Manet's independent exhibition \nheld along side the Universal Exposition in 1867.", "image_url": "https://img.youtube.com/vi/znKX9WcowfY/hqdefault.jpg", "youtube_id": "znKX9WcowfY", "content_kind": "Video", "readable_id": "manet---mile-zola--1868"}, {"translated_youtube_id": "XS8OhYdc-20", "relative_url": "/video/manet--the-balcony--1868-69", "has_questions": false, "keywords": "Manet, Balcony, Smarthistory, Art History, Musee d'Orsay", "ka_url": "http://www.khanacademy.org/video/manet--the-balcony--1868-69", "duration": 242, "translated_title": "Manet, The Balcony", "translated_description_html": "Édouard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet's wife.", "id": "671718099", "description_html": "Édouard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet's wife.", "title": "Manet, The Balcony", "progress_key": "v671718099", "edit_slug": "edit/v/671718099", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Édouard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet's wife.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/manets-the-balcony"}, "node_slug": "v/manet--the-balcony--1868-69", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:13:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XS8OhYdc-20.mp4/XS8OhYdc-20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XS8OhYdc-20.mp4/XS8OhYdc-20.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XS8OhYdc-20.m3u8/XS8OhYdc-20.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XS8OhYdc-20&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718099", "sha": "0f1a0cdcf416514825ab9761d19b11b7e0560c1d", "translated_description": "Édouard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet's wife.", "image_url": "https://img.youtube.com/vi/XS8OhYdc-20/hqdefault.jpg", "youtube_id": "XS8OhYdc-20", "content_kind": "Video", "readable_id": "manet--the-balcony--1868-69"}, {"translated_youtube_id": "2GD1Oz0sPzY", "relative_url": "/video/douard-manet--the-railway-1872-73", "has_questions": false, "keywords": "Manet, Railway, Paris, Second Empire, Édouard Manet, Khan Academy, Smarthistory, Impressionism, Art History", "ka_url": "http://www.khanacademy.org/video/douard-manet--the-railway-1872-73", "duration": 245, "translated_title": "Manet, The Railway", "translated_description_html": "Édouard Manet, The Railway,1872-73, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "669368684", "description_html": "Édouard Manet, The Railway,1872-73, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Manet, The Railway", "progress_key": "v669368684", "edit_slug": "edit/v/669368684", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Édouard Manet, The Railway,1872-73, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-railway"}, "node_slug": "v/douard-manet--the-railway-1872-73", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2GD1Oz0sPzY.mp4/2GD1Oz0sPzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2GD1Oz0sPzY.mp4/2GD1Oz0sPzY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2GD1Oz0sPzY.m3u8/2GD1Oz0sPzY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2GD1Oz0sPzY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368684", "sha": "3ba150625b7d4b184df446e8d39f31bf81f7838b", "translated_description": "Édouard Manet, The Railway,1872-73, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/2GD1Oz0sPzY/hqdefault.jpg", "youtube_id": "2GD1Oz0sPzY", "content_kind": "Video", "readable_id": "douard-manet--the-railway-1872-73"}, {"translated_youtube_id": "K3XTsNlcDS8", "relative_url": "/video/douard-manet--plum-brandy--c--1877", "has_questions": false, "keywords": "smarthistory, Khan Academy, Manet, Impressionism, realism, Art History", "ka_url": "http://www.khanacademy.org/video/douard-manet--plum-brandy--c--1877", "duration": 156, "translated_title": "Manet, Plum Brandy", "translated_description_html": "Édouard Manet, Plum Brandy, c. 1877, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "669368687", "description_html": "Édouard Manet, Plum Brandy, c. 1877, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Manet, Plum Brandy", "progress_key": "v669368687", "edit_slug": "edit/v/669368687", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Édouard Manet, Plum Brandy, c. 1877, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/plum-brandy"}, "node_slug": "v/douard-manet--plum-brandy--c--1877", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K3XTsNlcDS8.mp4/K3XTsNlcDS8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K3XTsNlcDS8.mp4/K3XTsNlcDS8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K3XTsNlcDS8.m3u8/K3XTsNlcDS8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K3XTsNlcDS8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368687", "sha": "d7ef804d0d66d08206484099002a55f902023aa0", "translated_description": "Édouard Manet, Plum Brandy, c. 1877, oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/K3XTsNlcDS8/hqdefault.jpg", "youtube_id": "K3XTsNlcDS8", "content_kind": "Video", "readable_id": "douard-manet--plum-brandy--c--1877"}, {"translated_youtube_id": "eNhrYgYV0MA", "relative_url": "/video/edouard-manet--in-the-conservatory--1878-1879", "has_questions": false, "keywords": "Manet, Conservatory, GAP, Edouard Manet, In the Conservatory, 1878, 1879, Alte Nationalgalerie, Berlin, Paris, Realism, Impressionism, Bourgeois, New Painting, Google Art Project, Smarthistory, Khan Academy, OER, Art History, Painting, Art, Painterly, brushwork, fashion, French, France", "ka_url": "http://www.khanacademy.org/video/edouard-manet--in-the-conservatory--1878-1879", "duration": 205, "translated_title": "Manet, In the Conservatory", "translated_description_html": "Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "id": "708126673", "description_html": "Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "title": "Manet, In the Conservatory", "progress_key": "v708126673", "edit_slug": "edit/v/708126673", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/manet-in-the-conservatory"}, "node_slug": "v/edouard-manet--in-the-conservatory--1878-1879", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eNhrYgYV0MA.mp4/eNhrYgYV0MA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eNhrYgYV0MA.mp4/eNhrYgYV0MA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eNhrYgYV0MA.m3u8/eNhrYgYV0MA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eNhrYgYV0MA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708126673", "sha": "4e1226fbcd301402c6190cf8eb5c74c4930f70ba", "translated_description": "Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)", "image_url": "https://img.youtube.com/vi/eNhrYgYV0MA/hqdefault.jpg", "youtube_id": "eNhrYgYV0MA", "content_kind": "Video", "readable_id": "edouard-manet--in-the-conservatory--1878-1879"}, {"translated_youtube_id": "BXzR-hdSFUY", "relative_url": "/video/manet--corner-of-a-caf--concert--1878-80", "has_questions": false, "keywords": "Manet, Realism, Impressionism, art history, smarthistory, National Gallery, London, Cafe", "ka_url": "http://www.khanacademy.org/video/manet--corner-of-a-caf--concert--1878-80", "duration": 224, "translated_title": "Manet, Corner of a Café-Concert", "translated_description_html": "Edouard Manet, Corner of a Café-Concert, 1878-80, 97.1 x 77.5 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671718101", "description_html": "Edouard Manet, Corner of a Café-Concert, 1878-80, 97.1 x 77.5 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Manet, Corner of a Café-Concert", "progress_key": "v671718101", "edit_slug": "edit/v/671718101", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edouard Manet, Corner of a Café-Concert, 1878-80, 97.1 x 77.5 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/manets-corner-of-a-cafe-concert"}, "node_slug": "v/manet--corner-of-a-caf--concert--1878-80", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BXzR-hdSFUY.mp4/BXzR-hdSFUY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BXzR-hdSFUY.mp4/BXzR-hdSFUY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BXzR-hdSFUY.m3u8/BXzR-hdSFUY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BXzR-hdSFUY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718101", "sha": "e94e75ee6c674a67c6f96c118c2a1b4707589023", "translated_description": "Edouard Manet, Corner of a Café-Concert, 1878-80, 97.1 x 77.5 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/BXzR-hdSFUY/hqdefault.jpg", "youtube_id": "BXzR-hdSFUY", "content_kind": "Video", "readable_id": "manet--corner-of-a-caf--concert--1878-80"}, {"translated_youtube_id": "kMACjCg9r4E", "relative_url": "/video/douard-manet--a-bar-at-the-folies-berg-re--1882", "has_questions": false, "keywords": "Édouard Manet, Folies-Bergere, Courtauld, Smarthistory, Impressionism, French painting", "ka_url": "http://www.khanacademy.org/video/douard-manet--a-bar-at-the-folies-berg-re--1882", "duration": 635, "translated_title": "Manet, A Bar at the Folies-Bergère", "translated_description_html": "Édouard Manet, A Bar at the Folies-Bergère, 1882 (Courtauld Gallery, London) \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org", "id": "671385816", "description_html": "Édouard Manet, A Bar at the Folies-Bergère, 1882 (Courtauld Gallery, London) \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org", "title": "Manet, A Bar at the Folies-Bergère", "progress_key": "v671385816", "edit_slug": "edit/v/671385816", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Édouard Manet, A Bar at the Folies-Bergère, 1882 (Courtauld Gallery, London) \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/manet-bar-folies-bergere"}, "node_slug": "v/douard-manet--a-bar-at-the-folies-berg-re--1882", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kMACjCg9r4E.mp4/kMACjCg9r4E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kMACjCg9r4E.mp4/kMACjCg9r4E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kMACjCg9r4E.m3u8/kMACjCg9r4E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kMACjCg9r4E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385816", "sha": "d3e5ff796e66f5bf395d83d0e32c0891544d86c7", "translated_description": "Édouard Manet, A Bar at the Folies-Bergère, 1882 (Courtauld Gallery, London) \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org", "image_url": "https://img.youtube.com/vi/kMACjCg9r4E/hqdefault.jpg", "youtube_id": "kMACjCg9r4E", "content_kind": "Video", "readable_id": "douard-manet--a-bar-at-the-folies-berg-re--1882"}, {"translated_youtube_id": "z9s_uJlG3b8", "relative_url": "/video/winslow-homer--the-fog-warning--halibut-fishing---1885", "has_questions": false, "keywords": "Winslow Homer, Homer, The Fog Warning, Fog, Warning, Halibut, Fishing, 1885, Museum of Fine Arts, Boston, American, Painting, Atlantic, outer banks, dory, sublime, 19th century, realism, Maine, art history, art, Smarthistory, Google Art Project, Khan Academy, OER", "ka_url": "http://www.khanacademy.org/video/winslow-homer--the-fog-warning--halibut-fishing---1885", "duration": 257, "translated_title": "Homer, The Fog Warning (Halibut Fishing)", "translated_description_html": "Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)", "id": "719781806", "description_html": "Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)", "title": "Homer, The Fog Warning (Halibut Fishing)", "progress_key": "v719781806", "edit_slug": "edit/v/719781806", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/homer-the-fog-warning"}, "node_slug": "v/winslow-homer--the-fog-warning--halibut-fishing---1885", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-13T08:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z9s_uJlG3b8.mp4/z9s_uJlG3b8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z9s_uJlG3b8.mp4/z9s_uJlG3b8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z9s_uJlG3b8.m3u8/z9s_uJlG3b8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z9s_uJlG3b8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v719781806", "sha": "792f84534f39f5deba1427c4d303e28b409209ff", "translated_description": "Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/z9s_uJlG3b8/hqdefault.jpg", "youtube_id": "z9s_uJlG3b8", "content_kind": "Video", "readable_id": "winslow-homer--the-fog-warning--halibut-fishing---1885"}, {"translated_youtube_id": "WV3MXLAfIi4", "relative_url": "/video/winslow-homer--the-life-line--1884", "has_questions": false, "keywords": "Winslow Homer, Homer, The Life Line, Life Line, 1884, Philadelphia Museum of Art, Philadelphia, Studio Building, American, painting, rescue, art history, art, Khan Academy, Google Art Project, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/winslow-homer--the-life-line--1884", "duration": 246, "translated_title": "Homer, The Life Line", "translated_description_html": "Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)", "id": "708153520", "description_html": "Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)", "title": "Homer, The Life Line", "progress_key": "v708153520", "edit_slug": "edit/v/708153520", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/homers-the-life-line"}, "node_slug": "v/winslow-homer--the-life-line--1884", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-04-07T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WV3MXLAfIi4.mp4/WV3MXLAfIi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WV3MXLAfIi4.mp4/WV3MXLAfIi4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WV3MXLAfIi4.m3u8/WV3MXLAfIi4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WV3MXLAfIi4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708153520", "sha": "74a6dc8870d78879c484535884186e6b88a35597", "translated_description": "Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/WV3MXLAfIi4/hqdefault.jpg", "youtube_id": "WV3MXLAfIi4", "content_kind": "Video", "readable_id": "winslow-homer--the-life-line--1884"}], "twitter_url": "", "translated_description": "In the mid-Nineteenth Century, great art was still defined as art that took it’s subjects from religion, history or mythology and its style from ancient Greece and Rome. Hardly what we would consider modern and appropriate for an industrial, commercial, urban culture! Courbet agreed, and so did his friend, the writer Charles Baudelaire who called for an art that would depict, as he called it, the beauty of modern life. Courbet painted the reality of life in the countryside—not the idealized peasants that were the usual fare at the exhibits in Paris. The revolution of 1848, in which both the working class and the middle class played a significant role, set the stage for Realism. Later, Manet and then Degas painted modern life in Paris, a city which was undergoing rapid modernization in the period after 1855 (the Second Empire).", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "In the mid-Nineteenth Century, great art was still defined as art that took it’s subjects from religion, history or mythology and its style from ancient Greece and Rome. Hardly what we would consider modern and appropriate for an industrial, commercial, urban culture! Courbet agreed, and so did his friend, the writer Charles Baudelaire who called for an art that would depict, as he called it, the beauty of modern life. Courbet painted the reality of life in the countryside—not the idealized peasants that were the usual fare at the exhibits in Paris. The revolution of 1848, in which both the working class and the middle class played a significant role, set the stage for Realism. Later, Manet and then Degas painted modern life in Paris, a city which was undergoing rapid modernization in the period after 1855 (the Second Empire).", "x_pos": 0.0, "node_slug": "realism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T19:41:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdfbfdcce", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/realism", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/realism", "slug": "realism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cfc517441511cc05b618d2fc7a32ac5c88640803", "standalone_title": "Art History: Realism", "y_pos": 0.0, "current_revision_key": "cfc517441511cc05b618d2fc7a32ac5c88640803", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/second-empire", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/second-empire", "translated_standalone_title": "Art History: Second Empire", "translated_title": "Art and the French state", "gplus_url": "", "id": "x79e94e3a", "old_key_name": "TNP1d8F1kpBf1xk_BqO-dzM0TuniQ7f8lps9nRlh", "hide": false, "title": "Art and the French state", "child_data": [{"kind": "Video", "id": 1168530971}, {"kind": "Video", "id": 670111812}, {"kind": "Video", "id": 671738039}, {"kind": "Exercise", "id": "x1b7a9b3d"}], "children": [{"translated_youtube_id": "pQJrTf_x7Wk", "relative_url": "/video/thomas-couture--romans-of-the-decadence--1847", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/thomas-couture--romans-of-the-decadence--1847", "duration": 346, "translated_title": "Couture, Romans of the Decadence", "translated_description_html": "Thomas Couture, Romans of the Decadence, 1847 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org", "id": "1168530971", "description_html": "Thomas Couture, Romans of the Decadence, 1847 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org", "title": "Couture, Romans of the Decadence", "progress_key": "v1168530971", "edit_slug": "edit/v/1168530971", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thomas Couture, Romans of the Decadence, 1847 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/coutures-romans-of-the-decadence.html"}, "node_slug": "v/thomas-couture--romans-of-the-decadence--1847", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-24T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pQJrTf_x7Wk.mp4/pQJrTf_x7Wk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pQJrTf_x7Wk.mp4/pQJrTf_x7Wk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pQJrTf_x7Wk.m3u8/pQJrTf_x7Wk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pQJrTf_x7Wk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1168530971", "sha": "92e6d4a72df2f2b29d7bf29e493e72d2d06cd449", "translated_description": "Thomas Couture, Romans of the Decadence, 1847 (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org", "image_url": "https://img.youtube.com/vi/pQJrTf_x7Wk/hqdefault.jpg", "youtube_id": "pQJrTf_x7Wk", "content_kind": "Video", "readable_id": "thomas-couture--romans-of-the-decadence--1847"}, {"translated_youtube_id": "EtTGyLsR7lk", "relative_url": "/video/charles-garnier--the-paris-op-ra--1860-75", "has_questions": false, "keywords": "Garnier, Paris Opera, Smarthistory, Art History, Paris, Opera, Haussmann", "ka_url": "http://www.khanacademy.org/video/charles-garnier--the-paris-op-ra--1860-75", "duration": 289, "translated_title": "Garnier, Paris Opéra", "translated_description_html": "Charles Garnier, The Paris Opéra, 1860-75", "id": "670111812", "description_html": "Charles Garnier, The Paris Opéra, 1860-75", "title": "Garnier, Paris Opéra", "progress_key": "v670111812", "edit_slug": "edit/v/670111812", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Charles Garnier, The Paris Opéra, 1860-75", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/garnier-paris-opera.html"}, "node_slug": "v/charles-garnier--the-paris-op-ra--1860-75", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EtTGyLsR7lk.mp4/EtTGyLsR7lk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EtTGyLsR7lk.mp4/EtTGyLsR7lk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EtTGyLsR7lk.m3u8/EtTGyLsR7lk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EtTGyLsR7lk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111812", "sha": "cf80c93b418ff8969256ea729f21956531a8af6f", "translated_description": "Charles Garnier, The Paris Opéra, 1860-75", "image_url": "https://img.youtube.com/vi/EtTGyLsR7lk/hqdefault.jpg", "youtube_id": "EtTGyLsR7lk", "content_kind": "Video", "readable_id": "charles-garnier--the-paris-op-ra--1860-75"}, {"translated_youtube_id": "3ZGmMTNyW0k", "relative_url": "/video/jean-baptiste-carpeaux---dance--1865-69", "has_questions": false, "keywords": "Carpeaux, Dance, Opera House, Paris, Musee d'Orsay, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/jean-baptiste-carpeaux---dance--1865-69", "duration": 223, "translated_title": "Carpeaux, Dance", "translated_description_html": "Jean-Baptiste Carpeaux​, Dance, 1865-69, marble, 420 x 298 cm.\n(Musée d'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L'Opéra. In 1964 it was replaced by a copy executed by Paul Belmondo.", "id": "671738039", "description_html": "Jean-Baptiste Carpeaux​, Dance, 1865-69, marble, 420 x 298 cm.\n(Musée d'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L'Opéra. In 1964 it was replaced by a copy executed by Paul Belmondo.", "title": "Carpeaux, Dance", "progress_key": "v671738039", "edit_slug": "edit/v/671738039", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean-Baptiste Carpeaux​, Dance, 1865-69, marble, 420 x 298 cm.\n(Musée d'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L'Opéra. In 1964 it was replaced by a copy executed by Paul Belmondo.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/carpeauxs-dance.html"}, "node_slug": "v/jean-baptiste-carpeaux---dance--1865-69", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ZGmMTNyW0k.mp4/3ZGmMTNyW0k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ZGmMTNyW0k.mp4/3ZGmMTNyW0k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3ZGmMTNyW0k.m3u8/3ZGmMTNyW0k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3ZGmMTNyW0k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738039", "sha": "d70b7748e9ee0d2a1d46624498f783fc8ec85ba9", "translated_description": "Jean-Baptiste Carpeaux​, Dance, 1865-69, marble, 420 x 298 cm.\n(Musée d'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L'Opéra. In 1964 it was replaced by a copy executed by Paul Belmondo.", "image_url": "https://img.youtube.com/vi/3ZGmMTNyW0k/hqdefault.jpg", "youtube_id": "3ZGmMTNyW0k", "content_kind": "Video", "readable_id": "jean-baptiste-carpeaux---dance--1865-69"}], "twitter_url": "", "translated_description": "Despite the brief dismantling of the Royal Academy during the French Revolution, art remained an extension of the power of the French State which regularly purchased art that it favored (often art that supported its political objectives). Through the Royal Academy (originally been founded by Louis XIV), the state extended its reach to the official exhibitions (salons) and to matters of style and subject matter through the École des Beaux Arts (School of Fine Arts). These were not just the official institutions of art, they were, in essence, the only institutions available for living artists to train and to make their work known. This tutorial looks at a crucial moment for painting, on the eve of the Revolution of 1848. We also examine one of the great State commissions of the Second Empire, The Opera House, as well as The Dance, a sculpture that adorned its façade.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Despite the brief dismantling of the Royal Academy during the French Revolution, art remained an extension of the power of the French State which regularly purchased art that it favored (often art that supported its political objectives). Through the Royal Academy (originally been founded by Louis XIV), the state extended its reach to the official exhibitions (salons) and to matters of style and subject matter through the École des Beaux Arts (School of Fine Arts). These were not just the official institutions of art, they were, in essence, the only institutions available for living artists to train and to make their work known. This tutorial looks at a crucial moment for painting, on the eve of the Revolution of 1848. We also examine one of the great State commissions of the Second Empire, The Opera House, as well as The Dance, a sculpture that adorned its façade.", "x_pos": 0.0, "node_slug": "second-empire", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax79e94e3a", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/second-empire", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/second-empire", "slug": "second-empire", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4d4e6664e78fadeef3a8142cfa0daa43aa47f18e", "standalone_title": "Art History: Second Empire", "y_pos": 0.0, "current_revision_key": "4d4e6664e78fadeef3a8142cfa0daa43aa47f18e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/impressionism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/impressionism", "translated_standalone_title": "Art History: Impressionism", "translated_title": "Impressionism", "gplus_url": "", "id": "x68aeab5d", "old_key_name": "NHYquJtCgquUEVFLcpkcxNPzzw6LRXa60f6HVim9", "hide": false, "title": "Impressionism", "child_data": [{"kind": "Video", "id": 671385814}, {"kind": "Video", "id": 671656226}, {"kind": "Video", "id": 719513885}, {"kind": "Video", "id": 671718103}, {"kind": "Video", "id": 719786826}, {"kind": "Video", "id": 671738042}, {"kind": "Video", "id": 816157054}, {"kind": "Video", "id": 669368685}, {"kind": "Video", "id": 671738041}, {"kind": "Video", "id": 719728953}, {"kind": "Video", "id": 669368686}, {"kind": "Video", "id": 719786825}, {"kind": "Video", "id": 671718104}, {"kind": "Video", "id": 719786828}, {"kind": "Video", "id": 670111813}, {"kind": "Video", "id": 669368688}, {"kind": "Video", "id": 671385809}, {"kind": "Video", "id": 719781805}, {"kind": "Video", "id": 719842169}, {"kind": "Exercise", "id": "xee69130b"}], "children": [{"translated_youtube_id": "Iics7KH_rLE", "relative_url": "/video/monet--the-argenteuil-bridge--1874", "has_questions": false, "keywords": "Monet, Bridge, Musee d'Orsay, Paris, Impressionism", "ka_url": "http://www.khanacademy.org/video/monet--the-argenteuil-bridge--1874", "duration": 205, "translated_title": "Monet, The Argenteuil Bridge", "translated_description_html": "Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Musée d'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html", "id": "671385814", "description_html": "Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Musée d'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html", "title": "Monet, The Argenteuil Bridge", "progress_key": "v671385814", "edit_slug": "edit/v/671385814", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Musée d'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/monet-the-argenteuil-bridge"}, "node_slug": "v/monet--the-argenteuil-bridge--1874", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:13:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iics7KH_rLE.mp4/Iics7KH_rLE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iics7KH_rLE.mp4/Iics7KH_rLE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Iics7KH_rLE.m3u8/Iics7KH_rLE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Iics7KH_rLE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385814", "sha": "35ad955c4bf6b61509ac77374ce8bdd87803f470", "translated_description": "Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Musée d'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Musée d'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html", "image_url": "https://img.youtube.com/vi/Iics7KH_rLE/hqdefault.jpg", "youtube_id": "Iics7KH_rLE", "content_kind": "Video", "readable_id": "monet--the-argenteuil-bridge--1874"}, {"translated_youtube_id": "sYQ5CSyACpc", "relative_url": "/video/claude-monet--gare-st--lazare--1877", "has_questions": false, "keywords": "monet, impressionism, art, art history, smarthistory, gare st lazare", "ka_url": "http://www.khanacademy.org/video/claude-monet--gare-st--lazare--1877", "duration": 336, "translated_title": "Monet, Gare St. Lazare", "translated_description_html": "Claude Monet, Gare St. Lazare, 1877 (Musee d'Orsay) \n\nFor more art history videos visit www.smarthistory.org", "id": "671656226", "description_html": "Claude Monet, Gare St. Lazare, 1877 (Musee d'Orsay) \n\nFor more art history videos visit www.smarthistory.org", "title": "Monet, Gare St. Lazare", "progress_key": "v671656226", "edit_slug": "edit/v/671656226", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claude Monet, Gare St. Lazare, 1877 (Musee d'Orsay) \n\nFor more art history videos visit www.smarthistory.org", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/france-1848.html"}, "node_slug": "v/claude-monet--gare-st--lazare--1877", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sYQ5CSyACpc.mp4/sYQ5CSyACpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sYQ5CSyACpc.mp4/sYQ5CSyACpc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sYQ5CSyACpc.m3u8/sYQ5CSyACpc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sYQ5CSyACpc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656226", "sha": "4020983780a6f6fff3b40f78feebcea1c2fc9d9c", "translated_description": "Claude Monet, Gare St. Lazare, 1877 (Musee d'Orsay) \n\nFor more art history videos visit www.smarthistory.org", "image_url": "https://img.youtube.com/vi/sYQ5CSyACpc/hqdefault.jpg", "youtube_id": "sYQ5CSyACpc", "content_kind": "Video", "readable_id": "claude-monet--gare-st--lazare--1877"}, {"translated_youtube_id": "D8cHdto-G-I", "relative_url": "/video/claude-monet--cliff-walk-at-pourville--1882", "has_questions": false, "keywords": "Monet, Impressionism, Pourville, France, Art Institute of Chicago, Seaside, Cliff, Claude Monet, Khan Academy, smarthistory, art history, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/claude-monet--cliff-walk-at-pourville--1882", "duration": 270, "translated_title": "Monet, Cliff Walk at Pourville", "translated_description_html": "Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)", "id": "719513885", "description_html": "Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)", "title": "Monet, Cliff Walk at Pourville", "progress_key": "v719513885", "edit_slug": "edit/v/719513885", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/monet-cliff-walk-at-pourville"}, "node_slug": "v/claude-monet--cliff-walk-at-pourville--1882", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/D8cHdto-G-I.mp4/D8cHdto-G-I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D8cHdto-G-I.mp4/D8cHdto-G-I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D8cHdto-G-I.m3u8/D8cHdto-G-I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=D8cHdto-G-I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719513885", "sha": "b7a8f21b47891a1204f314ec41927e5ba2b5dc04", "translated_description": "Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/D8cHdto-G-I/hqdefault.jpg", "youtube_id": "D8cHdto-G-I", "content_kind": "Video", "readable_id": "claude-monet--cliff-walk-at-pourville--1882"}, {"translated_youtube_id": "LnPKrSVMLnQ", "relative_url": "/video/monet--rouen-cathedral-series--1892-4", "has_questions": false, "keywords": "Monet, Rouen Cathedral, Impressionism", "ka_url": "http://www.khanacademy.org/video/monet--rouen-cathedral-series--1892-4", "duration": 254, "translated_title": "Monet, Rouen Cathedral Series", "translated_description_html": "Claude Monet​ painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Musée d'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "id": "671718103", "description_html": "Claude Monet​ painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Musée d'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "title": "Monet, Rouen Cathedral Series", "progress_key": "v671718103", "edit_slug": "edit/v/671718103", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claude Monet​ painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Musée d'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rouen-cathedral-series"}, "node_slug": "v/monet--rouen-cathedral-series--1892-4", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LnPKrSVMLnQ.mp4/LnPKrSVMLnQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LnPKrSVMLnQ.mp4/LnPKrSVMLnQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LnPKrSVMLnQ.m3u8/LnPKrSVMLnQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LnPKrSVMLnQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718103", "sha": "57c3a5182a77fa32a6088dbca71604c02193073e", "translated_description": "Claude Monet​ painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Musée d'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/LnPKrSVMLnQ/hqdefault.jpg", "youtube_id": "LnPKrSVMLnQ", "content_kind": "Video", "readable_id": "monet--rouen-cathedral-series--1892-4"}, {"translated_youtube_id": "JCKshDyxjuw", "relative_url": "/video/claude-monet--poplars--1891", "has_questions": false, "keywords": "Claude Monet, Poplars, 1891, Philadelphia Museum of Art, Philadelphia, Monet, series, Impressionism, light, fleeting, landscape, art, painting, art history, Smarthistory, Khan Academy, Google Art Project, OER, education", "ka_url": "http://www.khanacademy.org/video/claude-monet--poplars--1891", "duration": 235, "translated_title": "Monet, Poplars", "translated_description_html": "Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)", "id": "719786826", "description_html": "Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)", "title": "Monet, Poplars", "progress_key": "v719786826", "edit_slug": "edit/v/719786826", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/monet-poplars"}, "node_slug": "v/claude-monet--poplars--1891", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JCKshDyxjuw.mp4/JCKshDyxjuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JCKshDyxjuw.mp4/JCKshDyxjuw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JCKshDyxjuw.m3u8/JCKshDyxjuw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JCKshDyxjuw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786826", "sha": "6457eaac1950c1d657dff80ba99bd9820f5c9901", "translated_description": "Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/JCKshDyxjuw/hqdefault.jpg", "youtube_id": "JCKshDyxjuw", "content_kind": "Video", "readable_id": "claude-monet--poplars--1891"}, {"translated_youtube_id": "6fHorNn2zqQ", "relative_url": "/video/monet--les-nymph-as--the-water-lilies---1918-26", "has_questions": false, "keywords": "Monet, Water Lilies, Orangerie, Paris, Impressionism, Smarthistory, Art History, Claude Monet painting", "ka_url": "http://www.khanacademy.org/video/monet--les-nymph-as--the-water-lilies---1918-26", "duration": 382, "translated_title": "Monet, Water Lilies", "translated_description_html": "Claude Monet, Les Nymphéas (The Water Lilies), suite of paintings on permanent exhibition at the Musée de l'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671738042", "description_html": "Claude Monet, Les Nymphéas (The Water Lilies), suite of paintings on permanent exhibition at the Musée de l'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Monet, Water Lilies", "progress_key": "v671738042", "edit_slug": "edit/v/671738042", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Claude Monet, Les Nymphéas (The Water Lilies), suite of paintings on permanent exhibition at the Musée de l'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/water-lilies.html"}, "node_slug": "v/monet--les-nymph-as--the-water-lilies---1918-26", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6fHorNn2zqQ.mp4/6fHorNn2zqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6fHorNn2zqQ.mp4/6fHorNn2zqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6fHorNn2zqQ.m3u8/6fHorNn2zqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6fHorNn2zqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738042", "sha": "ad2eceeed9604e0e7c3dbb959b7b0bbceec0754e", "translated_description": "Claude Monet, Les Nymphéas (The Water Lilies), suite of paintings on permanent exhibition at the Musée de l'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/6fHorNn2zqQ/hqdefault.jpg", "youtube_id": "6fHorNn2zqQ", "content_kind": "Video", "readable_id": "monet--les-nymph-as--the-water-lilies---1918-26"}, {"translated_youtube_id": "U8d45ETt78o", "relative_url": "/video/gustave-caillebotte--paris-street--rainy-day--1877", "has_questions": false, "keywords": "Art history, Smarthistory, painting, art, OER, google art project, khan academy", "ka_url": "http://www.khanacademy.org/video/gustave-caillebotte--paris-street--rainy-day--1877", "duration": 284, "translated_title": "Gustave Caillebotte, Paris Street; Rainy Day", "translated_description_html": "Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/", "id": "816157054", "description_html": "Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/", "title": "Gustave Caillebotte, Paris Street; Rainy Day", "progress_key": "v816157054", "edit_slug": "edit/v/816157054", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gustave-caillebottes-paris-street-rainy-day"}, "node_slug": "v/gustave-caillebotte--paris-street--rainy-day--1877", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-06-01T08:00:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/U8d45ETt78o.mp4/U8d45ETt78o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U8d45ETt78o.mp4/U8d45ETt78o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/U8d45ETt78o.m3u8/U8d45ETt78o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=U8d45ETt78o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v816157054", "sha": "86402f6af6cefc9c1c1fe1d3cfa5960d36359431", "translated_description": "Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/", "image_url": "https://img.youtube.com/vi/U8d45ETt78o/hqdefault.jpg", "youtube_id": "U8d45ETt78o", "content_kind": "Video", "readable_id": "gustave-caillebotte--paris-street--rainy-day--1877"}, {"translated_youtube_id": "eKj12_KS8m0", "relative_url": "/video/caillebotte--the-floor-scrapers--1875", "has_questions": false, "keywords": "caillebotte, Musée d'Orsay, Art History, Smarthistory, Otis College of Art and Design", "ka_url": "http://www.khanacademy.org/video/caillebotte--the-floor-scrapers--1875", "duration": 267, "translated_title": "Caillebotte, The Floor Scrapers", "translated_description_html": "Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Musée d'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design", "id": "669368685", "description_html": "Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Musée d'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design", "title": "Caillebotte, The Floor Scrapers", "progress_key": "v669368685", "edit_slug": "edit/v/669368685", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Musée d'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gustave-caillebottes-floor-scrapers"}, "node_slug": "v/caillebotte--the-floor-scrapers--1875", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eKj12_KS8m0.mp4/eKj12_KS8m0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eKj12_KS8m0.mp4/eKj12_KS8m0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eKj12_KS8m0.m3u8/eKj12_KS8m0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eKj12_KS8m0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368685", "sha": "73eb623f2d5c8ae28486a17e79c04e30bc3f14b0", "translated_description": "Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Musée d'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design", "image_url": "https://img.youtube.com/vi/eKj12_KS8m0/hqdefault.jpg", "youtube_id": "eKj12_KS8m0", "content_kind": "Video", "readable_id": "caillebotte--the-floor-scrapers--1875"}, {"translated_youtube_id": "cYUVtdpTlEo", "relative_url": "/video/caillebotte--man-at-his-bath--1884", "has_questions": false, "keywords": "smarthistory, art history, caillebotte, impressionism, National Gallery", "ka_url": "http://www.khanacademy.org/video/caillebotte--man-at-his-bath--1884", "duration": 256, "translated_title": "Caillebotte, Man at his Bath", "translated_description_html": "Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design", "id": "671738041", "description_html": "Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design", "title": "Caillebotte, Man at his Bath", "progress_key": "v671738041", "edit_slug": "edit/v/671738041", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/man-at-his-bath"}, "node_slug": "v/caillebotte--man-at-his-bath--1884", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cYUVtdpTlEo.mp4/cYUVtdpTlEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cYUVtdpTlEo.mp4/cYUVtdpTlEo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cYUVtdpTlEo.m3u8/cYUVtdpTlEo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cYUVtdpTlEo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738041", "sha": "569fc9702a856d2a949326436dbab5dc0f89ee93", "translated_description": "Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design", "image_url": "https://img.youtube.com/vi/cYUVtdpTlEo/hqdefault.jpg", "youtube_id": "cYUVtdpTlEo", "content_kind": "Video", "readable_id": "caillebotte--man-at-his-bath--1884"}, {"translated_youtube_id": "HVuyK_vIMfc", "relative_url": "/video/mary-cassatt--in-the-loge--1878", "has_questions": false, "keywords": "Mary Cassatt, Cassatt, In the Loge, Loge, 1878, Museum of Fine Arts, Boston, MFA, Paris, Opera, Garnier, opera glasses, Second Empire, Impressionism, art, painting, French, American, art history, smarthistory, Khan Academy, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/mary-cassatt--in-the-loge--1878", "duration": 273, "translated_title": "Cassatt, In the Loge", "translated_description_html": "Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)", "id": "719728953", "description_html": "Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)", "title": "Cassatt, In the Loge", "progress_key": "v719728953", "edit_slug": "edit/v/719728953", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cassatt-at-the-opera"}, "node_slug": "v/mary-cassatt--in-the-loge--1878", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-13T08:00:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HVuyK_vIMfc.mp4/HVuyK_vIMfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HVuyK_vIMfc.mp4/HVuyK_vIMfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HVuyK_vIMfc.m3u8/HVuyK_vIMfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HVuyK_vIMfc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719728953", "sha": "bb6b272ac26a98aa8f1ef3119fc6e6ab21aa33e1", "translated_description": "Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)", "image_url": "https://img.youtube.com/vi/HVuyK_vIMfc/hqdefault.jpg", "youtube_id": "HVuyK_vIMfc", "content_kind": "Video", "readable_id": "mary-cassatt--in-the-loge--1878"}, {"translated_youtube_id": "zOZiuAOuOkA", "relative_url": "/video/cassatt--the-loge--1882", "has_questions": false, "keywords": "Cassatt, Impressionism, Art, Art History, Smarthistory, National Gallery", "ka_url": "http://www.khanacademy.org/video/cassatt--the-loge--1882", "duration": 207, "translated_title": "Cassatt, The Loge", "translated_description_html": "Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker", "id": "669368686", "description_html": "Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker", "title": "Cassatt, The Loge", "progress_key": "v669368686", "edit_slug": "edit/v/669368686", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-loge"}, "node_slug": "v/cassatt--the-loge--1882", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zOZiuAOuOkA.mp4/zOZiuAOuOkA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zOZiuAOuOkA.mp4/zOZiuAOuOkA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zOZiuAOuOkA.m3u8/zOZiuAOuOkA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zOZiuAOuOkA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368686", "sha": "d163f03fc303953c74b0a4fba6de3cdc33878ff0", "translated_description": "Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/zOZiuAOuOkA/hqdefault.jpg", "youtube_id": "zOZiuAOuOkA", "content_kind": "Video", "readable_id": "cassatt--the-loge--1882"}, {"translated_youtube_id": "guxLpVICBjg", "relative_url": "/video/mary-cassatt--woman-with-a-pearl-necklace-in-a-loge--1879", "has_questions": false, "keywords": "Mary Cassatt, Cassatt, Lydia, Pearl Necklace, Loge, 1879, Philadelphia, Impressionism, Paris, Second Empire, Palais Garnier, Opera House, Google Art Project, Smarthistory, Khan Academy, art history, OER", "ka_url": "http://www.khanacademy.org/video/mary-cassatt--woman-with-a-pearl-necklace-in-a-loge--1879", "duration": 310, "translated_title": "Cassatt, Woman with a Pearl Necklace in a Loge", "translated_description_html": "Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)", "id": "719786825", "description_html": "Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)", "title": "Cassatt, Woman with a Pearl Necklace in a Loge", "progress_key": "v719786825", "edit_slug": "edit/v/719786825", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cassatt-woman-with-a-pearl-necklace-in-a-loge"}, "node_slug": "v/mary-cassatt--woman-with-a-pearl-necklace-in-a-loge--1879", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/guxLpVICBjg.mp4/guxLpVICBjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/guxLpVICBjg.mp4/guxLpVICBjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/guxLpVICBjg.m3u8/guxLpVICBjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=guxLpVICBjg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786825", "sha": "723b370593a99c2ebbb66f655a703da3acfea56f", "translated_description": "Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/guxLpVICBjg/hqdefault.jpg", "youtube_id": "guxLpVICBjg", "content_kind": "Video", "readable_id": "mary-cassatt--woman-with-a-pearl-necklace-in-a-loge--1879"}, {"translated_youtube_id": "gDbpcwwUgjI", "relative_url": "/video/mary-cassatt--breakfast-in-bed--1897", "has_questions": false, "keywords": "Cassatt, Breakfast, Huntington Library, Art, Art History, Smarthistory, Impressionism", "ka_url": "http://www.khanacademy.org/video/mary-cassatt--breakfast-in-bed--1897", "duration": 187, "translated_title": "Cassatt, Breakfast in Bed", "translated_description_html": "Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker", "id": "671718104", "description_html": "Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker", "title": "Cassatt, Breakfast in Bed", "progress_key": "v671718104", "edit_slug": "edit/v/671718104", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cassatt-breakfast-in-bed"}, "node_slug": "v/mary-cassatt--breakfast-in-bed--1897", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gDbpcwwUgjI.mp4/gDbpcwwUgjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gDbpcwwUgjI.mp4/gDbpcwwUgjI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gDbpcwwUgjI.m3u8/gDbpcwwUgjI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gDbpcwwUgjI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718104", "sha": "a15ca359a75055b55ea201fc0b8904400f9dbb5b", "translated_description": "Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/gDbpcwwUgjI/hqdefault.jpg", "youtube_id": "gDbpcwwUgjI", "content_kind": "Video", "readable_id": "mary-cassatt--breakfast-in-bed--1897"}, {"translated_youtube_id": "O4St29B7cmU", "relative_url": "/video/mary-cassatt--the-child-s-bath--1893", "has_questions": false, "keywords": "Mary Cassatt, The Child's Bath, Bath, Child, mother 1893, Art Institute of Chicago, Impressionism, Japanese prints, painting, Paris, Chicago, Smarthistory, Google Art Project, Khan Academy, art history, OER", "ka_url": "http://www.khanacademy.org/video/mary-cassatt--the-child-s-bath--1893", "duration": 186, "translated_title": "Cassatt, The Child's Bath", "translated_description_html": "Mary Cassatt, The Child's Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)", "id": "719786828", "description_html": "Mary Cassatt, The Child's Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)", "title": "Cassatt, The Child's Bath", "progress_key": "v719786828", "edit_slug": "edit/v/719786828", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mary Cassatt, The Child's Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cassatt-the-childs-bath"}, "node_slug": "v/mary-cassatt--the-child-s-bath--1893", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/O4St29B7cmU.mp4/O4St29B7cmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O4St29B7cmU.mp4/O4St29B7cmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/O4St29B7cmU.m3u8/O4St29B7cmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=O4St29B7cmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786828", "sha": "f11892d42537fbfcc1790bdb899dbbc6a6cf2fbe", "translated_description": "Mary Cassatt, The Child's Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/O4St29B7cmU/hqdefault.jpg", "youtube_id": "O4St29B7cmU", "content_kind": "Video", "readable_id": "mary-cassatt--the-child-s-bath--1893"}, {"translated_youtube_id": "BSQr7Ii_vbY", "relative_url": "/video/morisot--the-mother-and-sister-of-the-artist--c--1869-1870", "has_questions": false, "keywords": "Morisot, Impressionism, Berthe Morisot, Smarthistory, Art History, National Gallery", "ka_url": "http://www.khanacademy.org/video/morisot--the-mother-and-sister-of-the-artist--c--1869-1870", "duration": 216, "translated_title": "Morisot, The Mother and Sister of the Artist", "translated_description_html": "Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html", "id": "670111813", "description_html": "Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html", "title": "Morisot, The Mother and Sister of the Artist", "progress_key": "v670111813", "edit_slug": "edit/v/670111813", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/morisots-mother-and-sister-of-the-artist"}, "node_slug": "v/morisot--the-mother-and-sister-of-the-artist--c--1869-1870", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BSQr7Ii_vbY.mp4/BSQr7Ii_vbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BSQr7Ii_vbY.mp4/BSQr7Ii_vbY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BSQr7Ii_vbY.m3u8/BSQr7Ii_vbY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BSQr7Ii_vbY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111813", "sha": "22eebdd890f0043634be569d79fd258734a409b7", "translated_description": "Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html", "image_url": "https://img.youtube.com/vi/BSQr7Ii_vbY/hqdefault.jpg", "youtube_id": "BSQr7Ii_vbY", "content_kind": "Video", "readable_id": "morisot--the-mother-and-sister-of-the-artist--c--1869-1870"}, {"translated_youtube_id": "x6rAFt5FW_Q", "relative_url": "/video/renoir--moulin-de-la-galette--1876", "has_questions": false, "keywords": "Pierre-Auguste Renoir, Smarthistory, Art History, Impressionism, Renoir", "ka_url": "http://www.khanacademy.org/video/renoir--moulin-de-la-galette--1876", "duration": 306, "translated_title": "Renoir, Moulin de la Galette", "translated_description_html": "Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "id": "669368688", "description_html": "Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "title": "Renoir, Moulin de la Galette", "progress_key": "v669368688", "edit_slug": "edit/v/669368688", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/renoir-moulin.html"}, "node_slug": "v/renoir--moulin-de-la-galette--1876", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-03-20T19:13:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x6rAFt5FW_Q.mp4/x6rAFt5FW_Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x6rAFt5FW_Q.mp4/x6rAFt5FW_Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x6rAFt5FW_Q.m3u8/x6rAFt5FW_Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x6rAFt5FW_Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368688", "sha": "ecb4b9eeef90120c80e7e0d66ac81beb0e7f5a80", "translated_description": "Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/x6rAFt5FW_Q/hqdefault.jpg", "youtube_id": "x6rAFt5FW_Q", "content_kind": "Video", "readable_id": "renoir--moulin-de-la-galette--1876"}, {"translated_youtube_id": "_uUD1ZP79tE", "relative_url": "/video/pierre-auguste-renoir--la-loge--1874", "has_questions": false, "keywords": "Pierre August Renoir, La Loge, Smarthistory, French Painting, 19th century art, Courtauld Gallery, Renoir", "ka_url": "http://www.khanacademy.org/video/pierre-auguste-renoir--la-loge--1874", "duration": 246, "translated_title": "Renoir, La Loge", "translated_description_html": "Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).", "id": "671385809", "description_html": "Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).", "title": "Renoir, La Loge", "progress_key": "v671385809", "edit_slug": "edit/v/671385809", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/renoirs-la-loge"}, "node_slug": "v/pierre-auguste-renoir--la-loge--1874", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_uUD1ZP79tE.mp4/_uUD1ZP79tE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_uUD1ZP79tE.mp4/_uUD1ZP79tE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_uUD1ZP79tE.m3u8/_uUD1ZP79tE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_uUD1ZP79tE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385809", "sha": "7079b7829727d13b84b745f640f68f16eea4f38e", "translated_description": "Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).", "image_url": "https://img.youtube.com/vi/_uUD1ZP79tE/hqdefault.jpg", "youtube_id": "_uUD1ZP79tE", "content_kind": "Video", "readable_id": "pierre-auguste-renoir--la-loge--1874"}, {"translated_youtube_id": "3SmyaLwpSaI", "relative_url": "/video/pierre-auguste-renoir--the-grands-boulevards--1875", "has_questions": false, "keywords": "Pierre-Auguste Renoir, Renoir, Grands Boulevards, Boulevards, 1875, Philadelphia Museum of Art, Philadelphia, Paris, Haussmann, Impressionism, art, painting, art history, Google Art Project, Khan Academy, Smarthistory, OER", "ka_url": "http://www.khanacademy.org/video/pierre-auguste-renoir--the-grands-boulevards--1875", "duration": 346, "translated_title": "Renoir, The Grands Boulevards", "translated_description_html": "Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)", "id": "719781805", "description_html": "Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)", "title": "Renoir, The Grands Boulevards", "progress_key": "v719781805", "edit_slug": "edit/v/719781805", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/renoirs-the-grands-boulevards"}, "node_slug": "v/pierre-auguste-renoir--the-grands-boulevards--1875", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3SmyaLwpSaI.mp4/3SmyaLwpSaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3SmyaLwpSaI.mp4/3SmyaLwpSaI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3SmyaLwpSaI.m3u8/3SmyaLwpSaI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3SmyaLwpSaI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719781805", "sha": "63ac3ac847896b2e0e42d6f985a95f7fed2a1ea1", "translated_description": "Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/3SmyaLwpSaI/hqdefault.jpg", "youtube_id": "3SmyaLwpSaI", "content_kind": "Video", "readable_id": "pierre-auguste-renoir--the-grands-boulevards--1875"}, {"translated_youtube_id": "7qaxUhbiQUc", "relative_url": "/video/pierre-auguste-renoir--the-large-bathers--1884-87", "has_questions": false, "keywords": "Pierre-Auguste Renoir, Renoir, Large Bathers, Bathers, 1884, 1887, Philadelphia Museum of Art, Philadelphia, Impressionism, Crisis of Impressionism, painting, French, art, art history, Khan Academy, Smarthistory, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/pierre-auguste-renoir--the-large-bathers--1884-87", "duration": 292, "translated_title": "Renoir, The Large Bathers", "translated_description_html": "Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)", "id": "719842169", "description_html": "Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)", "title": "Renoir, The Large Bathers", "progress_key": "v719842169", "edit_slug": "edit/v/719842169", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/renoir-the-large-bathers"}, "node_slug": "v/pierre-auguste-renoir--the-large-bathers--1884-87", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7qaxUhbiQUc.mp4/7qaxUhbiQUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7qaxUhbiQUc.mp4/7qaxUhbiQUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7qaxUhbiQUc.m3u8/7qaxUhbiQUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7qaxUhbiQUc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842169", "sha": "9c79438ddedfb9d53dcabfaf01a4bd4e65ab7927", "translated_description": "Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)", "image_url": "https://img.youtube.com/vi/7qaxUhbiQUc/hqdefault.jpg", "youtube_id": "7qaxUhbiQUc", "content_kind": "Video", "readable_id": "pierre-auguste-renoir--the-large-bathers--1884-87"}], "twitter_url": "", "translated_description": "Impressionism is both a style, and the name of a group of artists who did something radical—in 1874 they banded together and held their own independent exhibition. These artists described, in fleeting sensations of light, the new leisure pastimes of the city and its suburbs It’s hard to imagine, but at this time in France, the only place of consequence that artists could exhibit their work was the official government-sanctioned exhibitions (called salons), held just once a year, and controlled by a conservative jury. The Impressionists painted modern Paris and landscapes with a loose open brushstrokes, bright colors, and unconventional compositions—none of which was appreciated by the salon jury!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Impressionism is both a style, and the name of a group of artists who did something radical—in 1874 they banded together and held their own independent exhibition. These artists described, in fleeting sensations of light, the new leisure pastimes of the city and its suburbs It’s hard to imagine, but at this time in France, the only place of consequence that artists could exhibit their work was the official government-sanctioned exhibitions (called salons), held just once a year, and controlled by a conservative jury. The Impressionists painted modern Paris and landscapes with a loose open brushstrokes, bright colors, and unconventional compositions—none of which was appreciated by the salon jury!", "x_pos": 0.0, "node_slug": "impressionism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68aeab5d", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/impressionism", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/impressionism", "slug": "impressionism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ca116882a93780e12f725ffbb2df82e46c9c0713", "standalone_title": "Art History: Impressionism", "y_pos": 0.0, "current_revision_key": "ca116882a93780e12f725ffbb2df82e46c9c0713", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/post-impressionism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/post-impressionism", "translated_standalone_title": "Art History: Post-Impressionism", "translated_title": "Post-Impressionism", "gplus_url": "", "id": "x5f5e7272", "old_key_name": "3EpKIRjSPWEMN_64VIJB7PkQY0mF_Bl-rIb9G4uQ", "hide": false, "title": "Post-Impressionism", "child_data": [{"kind": "Video", "id": 719842168}, {"kind": "Video", "id": 671634393}, {"kind": "Video", "id": 671593306}, {"kind": "Video", "id": 669368682}, {"kind": "Video", "id": 671738038}, {"kind": "Video", "id": 719786823}, {"kind": "Video", "id": 719474984}, {"kind": "Video", "id": 719786827}, {"kind": "Video", "id": "xda0a751e"}, {"kind": "Video", "id": "xe131f51e"}, {"kind": "Video", "id": 671385811}, {"kind": "Video", "id": 671656227}, {"kind": "Video", "id": 671385808}, {"kind": "Video", "id": 671656229}, {"kind": "Video", "id": 719804658}, {"kind": "Video", "id": 719836280}, {"kind": "Video", "id": "xee7569af"}, {"kind": "Exercise", "id": "xbb93707a"}], "children": [{"translated_youtube_id": "wNB9Vm6MoDQ", "relative_url": "/video/georges-seurat--a-sunday-on-la-grande-jatte---1884--1884-86", "has_questions": false, "keywords": "Paris, Impressionism, Post-Impressionism, Leisure, Georges Seurat, Seurat, Sunday, Grande Jatte, 1884, 1886, Art Institute of Chicago, divisionism, Neo-Impressionism, pointillism, Khan Academy, smarthistory, art history, Google Art Project, OER, painting", "ka_url": "http://www.khanacademy.org/video/georges-seurat--a-sunday-on-la-grande-jatte---1884--1884-86", "duration": 403, "translated_title": "Seurat, A Sunday on La Grande Jatte", "translated_description_html": "Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/", "id": "719842168", "description_html": "Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/", "title": "Seurat, A Sunday on La Grande Jatte", "progress_key": "v719842168", "edit_slug": "edit/v/719842168", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/post-impressionism"}, "node_slug": "v/georges-seurat--a-sunday-on-la-grande-jatte---1884--1884-86", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wNB9Vm6MoDQ.mp4/wNB9Vm6MoDQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wNB9Vm6MoDQ.mp4/wNB9Vm6MoDQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wNB9Vm6MoDQ.m3u8/wNB9Vm6MoDQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wNB9Vm6MoDQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719842168", "sha": "770cef3b917fe73c26dbdd83c6fc8de8ed9b759b", "translated_description": "Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/", "image_url": "https://img.youtube.com/vi/wNB9Vm6MoDQ/hqdefault.jpg", "youtube_id": "wNB9Vm6MoDQ", "content_kind": "Video", "readable_id": "georges-seurat--a-sunday-on-la-grande-jatte---1884--1884-86"}, {"translated_youtube_id": "9bs1iQ14LJY", "relative_url": "/video/seurat--bathers-at-asni-res--1884", "has_questions": false, "keywords": "smarthistory, seurat, Art History, Post-Impressionism, Pointillism, Neo-Impressionism, History Of Art", "ka_url": "http://www.khanacademy.org/video/seurat--bathers-at-asni-res--1884", "duration": 386, "translated_title": "Seurat, Bathers at Asnières", "translated_description_html": "Georges Seurat, Bathers at Asnières, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671634393", "description_html": "Georges Seurat, Bathers at Asnières, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Seurat, Bathers at Asnières", "progress_key": "v671634393", "edit_slug": "edit/v/671634393", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Georges Seurat, Bathers at Asnières, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/seurats-bathers-at-asnieres"}, "node_slug": "v/seurat--bathers-at-asni-res--1884", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9bs1iQ14LJY.mp4/9bs1iQ14LJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9bs1iQ14LJY.mp4/9bs1iQ14LJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9bs1iQ14LJY.m3u8/9bs1iQ14LJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9bs1iQ14LJY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634393", "sha": "d9f06f63e9963446ee08ce9d8cb4827abb35a089", "translated_description": "Georges Seurat, Bathers at Asnières, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/9bs1iQ14LJY/hqdefault.jpg", "youtube_id": "9bs1iQ14LJY", "content_kind": "Video", "readable_id": "seurat--bathers-at-asni-res--1884"}, {"translated_youtube_id": "kWPRKyqyJUo", "relative_url": "/video/seurat--young-woman-powdering-herself--1890", "has_questions": false, "keywords": "Seurat, Post-Impressionism, Pointillism, Art History, Smarthistory, divisionism", "ka_url": "http://www.khanacademy.org/video/seurat--young-woman-powdering-herself--1890", "duration": 296, "translated_title": "Seurat, Young Woman Powdering Herself", "translated_description_html": "Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik", "id": "671593306", "description_html": "Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik", "title": "Seurat, Young Woman Powdering Herself", "progress_key": "v671593306", "edit_slug": "edit/v/671593306", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/young-woman-powdering-herself"}, "node_slug": "v/seurat--young-woman-powdering-herself--1890", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kWPRKyqyJUo.mp4/kWPRKyqyJUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kWPRKyqyJUo.mp4/kWPRKyqyJUo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kWPRKyqyJUo.m3u8/kWPRKyqyJUo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kWPRKyqyJUo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593306", "sha": "10c57330006ca2a6e76ee3f75da14574aba85c40", "translated_description": "Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik", "image_url": "https://img.youtube.com/vi/kWPRKyqyJUo/hqdefault.jpg", "youtube_id": "kWPRKyqyJUo", "content_kind": "Video", "readable_id": "seurat--young-woman-powdering-herself--1890"}, {"translated_youtube_id": "hH1a1v1JNAk", "relative_url": "/video/c-zanne--still-life-with-apples--1895-98--moma", "has_questions": false, "keywords": "cezanne, art, art history, smarthistory, Post-Impressionism, MoMA, Museum of Modern Art", "ka_url": "http://www.khanacademy.org/video/c-zanne--still-life-with-apples--1895-98--moma", "duration": 335, "translated_title": "Cézanne, Still Life with Apples", "translated_description_html": "A Smarthistory video by Beth Harris and Steven Zucker. For more videos, visit www.smarthistory.org.", "id": "669368682", "description_html": "A Smarthistory video by Beth Harris and Steven Zucker. For more videos, visit www.smarthistory.org.", "title": "Cézanne, Still Life with Apples", "progress_key": "v669368682", "edit_slug": "edit/v/669368682", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A Smarthistory video by Beth Harris and Steven Zucker. For more videos, visit www.smarthistory.org.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Cezannes-Still-Life-with-Apples"}, "node_slug": "v/c-zanne--still-life-with-apples--1895-98--moma", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hH1a1v1JNAk.mp4/hH1a1v1JNAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hH1a1v1JNAk.mp4/hH1a1v1JNAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hH1a1v1JNAk.m3u8/hH1a1v1JNAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hH1a1v1JNAk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368682", "sha": "d92f3f48bb430abf8244aa231356274be2a62bba", "translated_description": "A Smarthistory video by Beth Harris and Steven Zucker. For more videos, visit www.smarthistory.org.", "image_url": "https://img.youtube.com/vi/hH1a1v1JNAk/hqdefault.jpg", "youtube_id": "hH1a1v1JNAk", "content_kind": "Video", "readable_id": "c-zanne--still-life-with-apples--1895-98--moma"}, {"translated_youtube_id": "XBPgPEo0Xx4", "relative_url": "/video/c-zanne--still-life-with-plaster-cupid--c--1895", "has_questions": false, "keywords": "Paul Cézanne Cupid, Smarthistory, Art History, Impressionism", "ka_url": "http://www.khanacademy.org/video/c-zanne--still-life-with-plaster-cupid--c--1895", "duration": 305, "translated_title": "Cézanne, Still Life with Plaster Cupid", "translated_description_html": "Paul Cézanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html", "id": "671738038", "description_html": "Paul Cézanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html", "title": "Cézanne, Still Life with Plaster Cupid", "progress_key": "v671738038", "edit_slug": "edit/v/671738038", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Paul Cézanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/still-life-with-plaster-cupid"}, "node_slug": "v/c-zanne--still-life-with-plaster-cupid--c--1895", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XBPgPEo0Xx4.mp4/XBPgPEo0Xx4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XBPgPEo0Xx4.mp4/XBPgPEo0Xx4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XBPgPEo0Xx4.m3u8/XBPgPEo0Xx4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XBPgPEo0Xx4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738038", "sha": "6c8e61b70905fb17c36e48d4767e161277dd8170", "translated_description": "Paul Cézanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html", "image_url": "https://img.youtube.com/vi/XBPgPEo0Xx4/hqdefault.jpg", "youtube_id": "XBPgPEo0Xx4", "content_kind": "Video", "readable_id": "c-zanne--still-life-with-plaster-cupid--c--1895"}, {"translated_youtube_id": "2Vv9BhnE0SQ", "relative_url": "/video/paul-c-zanne--the-red-rock--c--1895", "has_questions": false, "keywords": "Cezanne, Red Rock, GAP, Bibemus, Rock, le rocher rouge, l'Orangerie, Google Art Project, Smarthistory, Khan Academy, Paris, 1895, French, Painting, Post-Impressionism, Abstraction, OER, art history, Provence", "ka_url": "http://www.khanacademy.org/video/paul-c-zanne--the-red-rock--c--1895", "duration": 231, "translated_title": "Cézanne, The Red Rock", "translated_description_html": "Paul Cézanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Musée de l'Orangerie, Paris)", "id": "719786823", "description_html": "Paul Cézanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Musée de l'Orangerie, Paris)", "title": "Cézanne, The Red Rock", "progress_key": "v719786823", "edit_slug": "edit/v/719786823", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Paul Cézanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Musée de l'Orangerie, Paris)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/cezannes-the-red-rock.html"}, "node_slug": "v/paul-c-zanne--the-red-rock--c--1895", "deleted": false, "backup_timestamp": "2013-09-21T10:38:51Z", "date_added": "2012-04-13T08:00:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2Vv9BhnE0SQ.mp4/2Vv9BhnE0SQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2Vv9BhnE0SQ.mp4/2Vv9BhnE0SQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2Vv9BhnE0SQ.m3u8/2Vv9BhnE0SQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2Vv9BhnE0SQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786823", "sha": "239c4859b51ccd522bff657bd54cc3c1c6a1f605", "translated_description": "Paul Cézanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Musée de l'Orangerie, Paris)", "image_url": "https://img.youtube.com/vi/2Vv9BhnE0SQ/hqdefault.jpg", "youtube_id": "2Vv9BhnE0SQ", "content_kind": "Video", "readable_id": "paul-c-zanne--the-red-rock--c--1895"}, {"translated_youtube_id": "iQY3SdZeZ6g", "relative_url": "/video/paul-c-zanne--bathers--les-grandes-baigneuses---c--1894-1905", "has_questions": false, "keywords": "National Gallery, Paul Cézanne, Cézanne, Cezanne, Bathers, Les Grandes Baigneuses, 1894, 1905, smarthistory, art history, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/paul-c-zanne--bathers--les-grandes-baigneuses---c--1894-1905", "duration": 386, "translated_title": "Cézanne, Bathers", "translated_description_html": "Paul Cézanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)", "id": "719474984", "description_html": "Paul Cézanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)", "title": "Cézanne, Bathers", "progress_key": "v719474984", "edit_slug": "edit/v/719474984", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Paul Cézanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cezannes-bathers"}, "node_slug": "v/paul-c-zanne--bathers--les-grandes-baigneuses---c--1894-1905", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iQY3SdZeZ6g.mp4/iQY3SdZeZ6g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iQY3SdZeZ6g.mp4/iQY3SdZeZ6g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iQY3SdZeZ6g.m3u8/iQY3SdZeZ6g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iQY3SdZeZ6g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719474984", "sha": "c6ddd000a0cb53269b8a7ee9c1a4ad3e1bf98796", "translated_description": "Paul Cézanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)", "image_url": "https://img.youtube.com/vi/iQY3SdZeZ6g/hqdefault.jpg", "youtube_id": "iQY3SdZeZ6g", "content_kind": "Video", "readable_id": "paul-c-zanne--bathers--les-grandes-baigneuses---c--1894-1905"}, {"translated_youtube_id": "YFtf-xA7_oM", "relative_url": "/video/paul-c-zanne--the-large-bathers--1906", "has_questions": false, "keywords": "Paul Cézanne, Large Bathers, 1906, Philadelphia, Bathers, Cézanne, Cezanne, Post-Impressionism, French, France, painting, landscape, titian, figure, Modern Art, Google Art Project, Smarthistory, Khan Academy, OER, art history", "ka_url": "http://www.khanacademy.org/video/paul-c-zanne--the-large-bathers--1906", "duration": 286, "translated_title": "Cezanne, The Large Bathers", "translated_description_html": "Paul Cézanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/", "id": "719786827", "description_html": "Paul Cézanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/", "title": "Cezanne, The Large Bathers", "progress_key": "v719786827", "edit_slug": "edit/v/719786827", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Paul Cézanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cezanne-the-large-bathers"}, "node_slug": "v/paul-c-zanne--the-large-bathers--1906", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YFtf-xA7_oM.mp4/YFtf-xA7_oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YFtf-xA7_oM.mp4/YFtf-xA7_oM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YFtf-xA7_oM.m3u8/YFtf-xA7_oM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YFtf-xA7_oM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719786827", "sha": "17cfdd9c8250c9715605bd94fc5cdd6b4e3fe60e", "translated_description": "Paul Cézanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/", "image_url": "https://img.youtube.com/vi/YFtf-xA7_oM/hqdefault.jpg", "youtube_id": "YFtf-xA7_oM", "content_kind": "Video", "readable_id": "paul-c-zanne--the-large-bathers--1906"}, {"translated_youtube_id": "-Bykx5cBKMI", "relative_url": "/video/paul-cezanne-approach-watercolor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paul-cezanne-approach-watercolor", "duration": 164, "translated_title": "Paul Cézanne's approach to watercolor", "translated_description_html": "

Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+<\/a><\/p>", "id": "xda0a751e", "description_html": "

Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+<\/a><\/p>", "title": "Paul Cézanne's approach to watercolor", "progress_key": "vxda0a751e", "edit_slug": "edit/v/xda0a751e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/paul-cezanne-approach-watercolor", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.mp4/-Bykx5cBKMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.mp4/-Bykx5cBKMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.m3u8/-Bykx5cBKMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-Bykx5cBKMI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxda0a751e", "sha": "3034c2cf0f5f72e408447afc492e91cf2cca6dc5", "translated_description": "Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/-Bykx5cBKMI/hqdefault.jpg", "youtube_id": "-Bykx5cBKMI", "content_kind": "Video", "readable_id": "paul-cezanne-approach-watercolor"}, {"translated_youtube_id": "y5lhKvKvWPg", "relative_url": "/video/gauguin-vision-after-the-sermon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gauguin-vision-after-the-sermon", "duration": 219, "translated_title": "Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel", "translated_description_html": "

Paul Gauguin, Vision after the Sermon<\/em>, or Jacob Wrestling with the Ange<\/em>l, 1888, oil on canvas, 2' 4 3/4" x 3' 1/2" (National Gallery of Scotland, Edinburgh)<\/p>\n\n

Speakers: Dr. Steven Zucker & Dr. Beth Harris <\/p>\n", "id": "xe131f51e", "description_html": "

Paul Gauguin, Vision after the Sermon<\/em>, or Jacob Wrestling with the Ange<\/em>l, 1888, oil on canvas, 2' 4 3/4" x 3' 1/2" (National Gallery of Scotland, Edinburgh)<\/p>\n\n

Speakers: Dr. Steven Zucker & Dr. Beth Harris <\/p>\n", "title": "Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel", "progress_key": "vxe131f51e", "edit_slug": "edit/v/xe131f51e", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel, 1888, oil on canvas, 2' 4 3/4\" x 3' 1/2\" (National Gallery of Scotland, Edinburgh)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris \n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gauguin.html"}, "node_slug": "v/gauguin-vision-after-the-sermon", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-09-24T18:00:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/y5lhKvKvWPg.mp4/y5lhKvKvWPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y5lhKvKvWPg.mp4/y5lhKvKvWPg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/y5lhKvKvWPg.m3u8/y5lhKvKvWPg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=y5lhKvKvWPg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe131f51e", "sha": "cd43fe72cf8dddfe87f35f5bb7a02bac2e141b91", "translated_description": "Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel, 1888, oil on canvas, 2' 4 3/4\" x 3' 1/2\" (National Gallery of Scotland, Edinburgh)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris \n", "image_url": "https://img.youtube.com/vi/y5lhKvKvWPg/hqdefault.jpg", "youtube_id": "y5lhKvKvWPg", "content_kind": "Video", "readable_id": "gauguin-vision-after-the-sermon"}, {"translated_youtube_id": "ofJS_K0Fj2Q", "relative_url": "/video/paul-gauguin--the-red-cow--1889", "has_questions": false, "keywords": "Gauguin, Paul Gauguin, The Red Cow, 1889, LACMA, Post-Impressionism, cypress, Le Pouldu, Pont-Aven, Brittany, France", "ka_url": "http://www.khanacademy.org/video/paul-gauguin--the-red-cow--1889", "duration": 258, "translated_title": "Gauguin, The Red Cow", "translated_description_html": "Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).", "id": "671385811", "description_html": "Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).", "title": "Gauguin, The Red Cow", "progress_key": "v671385811", "edit_slug": "edit/v/671385811", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gauguin-red-cow"}, "node_slug": "v/paul-gauguin--the-red-cow--1889", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ofJS_K0Fj2Q.mp4/ofJS_K0Fj2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ofJS_K0Fj2Q.mp4/ofJS_K0Fj2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ofJS_K0Fj2Q.m3u8/ofJS_K0Fj2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ofJS_K0Fj2Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385811", "sha": "c32025a5311e8e5078ebebb0dfaad9ed3bd575a4", "translated_description": "Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).", "image_url": "https://img.youtube.com/vi/ofJS_K0Fj2Q/hqdefault.jpg", "youtube_id": "ofJS_K0Fj2Q", "content_kind": "Video", "readable_id": "paul-gauguin--the-red-cow--1889"}, {"translated_youtube_id": "pQu1RMIkg3c", "relative_url": "/video/paul-gauguin--nevermore--1897", "has_questions": false, "keywords": "gauguin, Post-Impressionism, art, art history, smarthistory, Courtauld, London", "ka_url": "http://www.khanacademy.org/video/paul-gauguin--nevermore--1897", "duration": 303, "translated_title": "Gauguin, Nevermore", "translated_description_html": "Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker", "id": "671656227", "description_html": "Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker", "title": "Gauguin, Nevermore", "progress_key": "v671656227", "edit_slug": "edit/v/671656227", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gauguins-nevermore"}, "node_slug": "v/paul-gauguin--nevermore--1897", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pQu1RMIkg3c.mp4/pQu1RMIkg3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pQu1RMIkg3c.mp4/pQu1RMIkg3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pQu1RMIkg3c.m3u8/pQu1RMIkg3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pQu1RMIkg3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656227", "sha": "bab573b2985e406a983d68be8eca1f8352bd5de5", "translated_description": "Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/pQu1RMIkg3c/hqdefault.jpg", "youtube_id": "pQu1RMIkg3c", "content_kind": "Video", "readable_id": "paul-gauguin--nevermore--1897"}, {"translated_youtube_id": "uIXS5-cFhYI", "relative_url": "/video/van-gogh--portrait-of-joseph-roulin--1889", "has_questions": false, "keywords": "Dutch painting, MoMA smarthistory, Post-Impressionism, modern art", "ka_url": "http://www.khanacademy.org/video/van-gogh--portrait-of-joseph-roulin--1889", "duration": 273, "translated_title": "Van Gogh, Portrait of the Joseph Roulin", "translated_description_html": "Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker", "id": "671385808", "description_html": "Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker", "title": "Van Gogh, Portrait of the Joseph Roulin", "progress_key": "v671385808", "edit_slug": "edit/v/671385808", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-gogh-roulin"}, "node_slug": "v/van-gogh--portrait-of-joseph-roulin--1889", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uIXS5-cFhYI.mp4/uIXS5-cFhYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uIXS5-cFhYI.mp4/uIXS5-cFhYI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uIXS5-cFhYI.m3u8/uIXS5-cFhYI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uIXS5-cFhYI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385808", "sha": "7059353a7c8c62aefcdefd625f10ce5f5d15c773", "translated_description": "Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker", "image_url": "https://img.youtube.com/vi/uIXS5-cFhYI/hqdefault.jpg", "youtube_id": "uIXS5-cFhYI", "content_kind": "Video", "readable_id": "van-gogh--portrait-of-joseph-roulin--1889"}, {"translated_youtube_id": "gqSpWPONekE", "relative_url": "/video/vincent-van-gogh--self-portrait-dedicated-to-paul-gauguin--1888", "has_questions": false, "keywords": "Vincent van Gogh, Van Gogh, Paul Gauguin, Gauguin, Post-Impressionism, Self-Portrait, Fogg, Subjectivity", "ka_url": "http://www.khanacademy.org/video/vincent-van-gogh--self-portrait-dedicated-to-paul-gauguin--1888", "duration": 169, "translated_title": "Van Gogh, Self-Portrait Dedicated to Paul Gauguin", "translated_description_html": "Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html", "id": "671656229", "description_html": "Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html", "title": "Van Gogh, Self-Portrait Dedicated to Paul Gauguin", "progress_key": "v671656229", "edit_slug": "edit/v/671656229", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-gogh-self-portrait-dedicated-to-paul-gauguin"}, "node_slug": "v/vincent-van-gogh--self-portrait-dedicated-to-paul-gauguin--1888", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:13:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gqSpWPONekE.mp4/gqSpWPONekE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gqSpWPONekE.mp4/gqSpWPONekE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gqSpWPONekE.m3u8/gqSpWPONekE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gqSpWPONekE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656229", "sha": "bc3ce9f0f0ae75de9cc9ca43e5a3602a784d6fc3", "translated_description": "Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html", "image_url": "https://img.youtube.com/vi/gqSpWPONekE/hqdefault.jpg", "youtube_id": "gqSpWPONekE", "content_kind": "Video", "readable_id": "vincent-van-gogh--self-portrait-dedicated-to-paul-gauguin--1888"}, {"translated_youtube_id": "E1tA9-ypx0g", "relative_url": "/video/vincent-van-gogh--the-bedroom--1889", "has_questions": false, "keywords": "Vincent van Gogh, van Gogh, Bedroom, 1889, Art Institute of Chicago, Art, Chicago, Post-Impressionism, painting, French, Dutch, Arles, Interior, Theo, art history, Google Art Project, Khan Academy, Smarthistory, OER, 19th Century", "ka_url": "http://www.khanacademy.org/video/vincent-van-gogh--the-bedroom--1889", "duration": 284, "translated_title": "Van Gogh, The Bedroom", "translated_description_html": "Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)", "id": "719804658", "description_html": "Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)", "title": "Van Gogh, The Bedroom", "progress_key": "v719804658", "edit_slug": "edit/v/719804658", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/van-goghs-the-bedroom"}, "node_slug": "v/vincent-van-gogh--the-bedroom--1889", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-04-13T08:00:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E1tA9-ypx0g.mp4/E1tA9-ypx0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E1tA9-ypx0g.mp4/E1tA9-ypx0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E1tA9-ypx0g.m3u8/E1tA9-ypx0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E1tA9-ypx0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719804658", "sha": "03ff934323057eafc8b1c7ea0e3ced9e9e3f474e", "translated_description": "Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/E1tA9-ypx0g/hqdefault.jpg", "youtube_id": "E1tA9-ypx0g", "content_kind": "Video", "readable_id": "vincent-van-gogh--the-bedroom--1889"}, {"translated_youtube_id": "XLcbGHNFcpM", "relative_url": "/video/henri-de-toulouse-lautrec--at-the-moulin-rouge--1893-95", "has_questions": false, "keywords": "Henri de Toulouse-Lautrec, Toulouse-Lautrec, At the Moulin Rouge, Moulin Rouge, Cabaret, 1893, 1895, Art Institute of Chicago, Paris, Demimonde, Demi-monde, Nightlife, Night Club, art, painting, art history, smarthistory, Khan Academy, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/henri-de-toulouse-lautrec--at-the-moulin-rouge--1893-95", "duration": 191, "translated_title": "Toulouse-Lautrec, At the Moulin Rouge", "translated_description_html": "Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)", "id": "719836280", "description_html": "Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)", "title": "Toulouse-Lautrec, At the Moulin Rouge", "progress_key": "v719836280", "edit_slug": "edit/v/719836280", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/toulouse-lautrecs-at-the-moulin-rouge"}, "node_slug": "v/henri-de-toulouse-lautrec--at-the-moulin-rouge--1893-95", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-13T08:00:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XLcbGHNFcpM.mp4/XLcbGHNFcpM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XLcbGHNFcpM.mp4/XLcbGHNFcpM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XLcbGHNFcpM.m3u8/XLcbGHNFcpM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XLcbGHNFcpM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719836280", "sha": "ae0066bf61a33282daadd3a3cba165c655ba81d5", "translated_description": "Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/XLcbGHNFcpM/hqdefault.jpg", "youtube_id": "XLcbGHNFcpM", "content_kind": "Video", "readable_id": "henri-de-toulouse-lautrec--at-the-moulin-rouge--1893-95"}, {"translated_youtube_id": "_Ucdj37XOHk", "relative_url": "/video/toulouse-lautrec-circus-drawings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/toulouse-lautrec-circus-drawings", "duration": 133, "translated_title": "Henri Toulouse-Lautrec's circus drawings", "translated_description_html": "

The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+<\/a><\/p>", "id": "xee7569af", "description_html": "

The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+<\/a><\/p>", "title": "Henri Toulouse-Lautrec's circus drawings", "progress_key": "vxee7569af", "edit_slug": "edit/v/xee7569af", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/toulouse-lautrec-circus-drawings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.mp4/_Ucdj37XOHk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.mp4/_Ucdj37XOHk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.m3u8/_Ucdj37XOHk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_Ucdj37XOHk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxee7569af", "sha": "122475ff95a40cfe6d3bdb45aa3e4baa0aa5822a", "translated_description": "The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/_Ucdj37XOHk/hqdefault.jpg", "youtube_id": "_Ucdj37XOHk", "content_kind": "Video", "readable_id": "toulouse-lautrec-circus-drawings"}], "twitter_url": "", "translated_description": "The work of van Gogh, Gauguin, Cézanne and Seurat together constitute Post-Impressionism and yet their work is so varied and unrelated, we might never otherwise think of these four artists as a group. Certainly van Gogh and Gauguin were friends and they briefly painted together, but each of these artists was concerned with solving particular issues that had to do with their own individual sensibility. Ironically, if anything ties these artists together it is this focus on subjectivity. This tutorial explores the sketchy multiperspectival views of Cézanne, Seurat’s systematized critiques of upper middle-class Paris, Gauguin’s fascination with the primitive and exotic, and van Gogh’s unerring ability to convey deeply human experiences.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The work of van Gogh, Gauguin, Cézanne and Seurat together constitute Post-Impressionism and yet their work is so varied and unrelated, we might never otherwise think of these four artists as a group. Certainly van Gogh and Gauguin were friends and they briefly painted together, but each of these artists was concerned with solving particular issues that had to do with their own individual sensibility. Ironically, if anything ties these artists together it is this focus on subjectivity. This tutorial explores the sketchy multiperspectival views of Cézanne, Seurat’s systematized critiques of upper middle-class Paris, Gauguin’s fascination with the primitive and exotic, and van Gogh’s unerring ability to convey deeply human experiences.", "x_pos": 0.0, "node_slug": "post-impressionism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T18:01:17Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5f5e7272", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/post-impressionism", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/post-impressionism", "slug": "post-impressionism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "096fabe80b751a0a485730fa5d1d3bd7ddbb2e68", "standalone_title": "Art History: Post-Impressionism", "y_pos": 0.0, "current_revision_key": "096fabe80b751a0a485730fa5d1d3bd7ddbb2e68", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/symbolism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/symbolism", "translated_standalone_title": "Art History: Symbolism", "translated_title": "Symbolism & Art Nouveau", "gplus_url": "", "id": "xa5f779e9", "old_key_name": "wGjAOzYrVObk4ilfBv_YskJ6rpneSP9UPZpgDaKM", "hide": false, "title": "Symbolism & Art Nouveau", "child_data": [{"kind": "Video", "id": 867037959}, {"kind": "Video", "id": 868390389}, {"kind": "Video", "id": 708175163}, {"kind": "Video", "id": 708138869}, {"kind": "Video", "id": 1159664939}, {"kind": "Video", "id": 670111810}, {"kind": "Video", "id": 1159664940}, {"kind": "Video", "id": 670111815}, {"kind": "Video", "id": 671656230}, {"kind": "Video", "id": 670111814}, {"kind": "Video", "id": "x51fcf74f"}, {"kind": "Video", "id": "x305a7f04"}, {"kind": "Exercise", "id": "x248facc9"}], "children": [{"translated_youtube_id": "983Tu9rlP54", "relative_url": "/video/gustav-klimt--beethoven-frieze--vienna-secession--1902", "has_questions": false, "keywords": "art history, smarthistory, khan academy, Gustav Klimt, Klimt, Vienna, Secession, Beethoven, Beethoven Frieze", "ka_url": "http://www.khanacademy.org/video/gustav-klimt--beethoven-frieze--vienna-secession--1902", "duration": 448, "translated_title": "Gustav Klimt, Beethoven Frieze", "translated_description_html": "Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "id": "867037959", "description_html": "Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "title": "Gustav Klimt, Beethoven Frieze", "progress_key": "v867037959", "edit_slug": "edit/v/867037959", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/gustav-klimts-beethoven-frieze"}, "node_slug": "v/gustav-klimt--beethoven-frieze--vienna-secession--1902", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-06-22T08:00:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/983Tu9rlP54.mp4/983Tu9rlP54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/983Tu9rlP54.mp4/983Tu9rlP54.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/983Tu9rlP54.m3u8/983Tu9rlP54.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=983Tu9rlP54&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v867037959", "sha": "42dc1a458b51ec32dc7d2613d6cf0b04ec989ea1", "translated_description": "Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy's Dr. Steven Zucker and Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/983Tu9rlP54/hqdefault.jpg", "youtube_id": "983Tu9rlP54", "content_kind": "Video", "readable_id": "gustav-klimt--beethoven-frieze--vienna-secession--1902"}, {"translated_youtube_id": "BRUOACBkFRg", "relative_url": "/video/gustav-klimt--the-kiss--1907-8", "has_questions": false, "keywords": "smarthistory, klimt, Gustav Klimt, art history, khan academy, Vienna, Kiss, Schiele", "ka_url": "http://www.khanacademy.org/video/gustav-klimt--the-kiss--1907-8", "duration": 237, "translated_title": "Gustav Klimt, The Kiss", "translated_description_html": "Gustav Klimt, The Kiss, 1907-8, oil and gold leaf on canvas, 180 x 180 cm (Österreichische Galerie Belvedere, Vienna)", "id": "868390389", "description_html": "Gustav Klimt, The Kiss, 1907-8, oil and gold leaf on canvas, 180 x 180 cm (Österreichische Galerie Belvedere, Vienna)", "title": "Gustav Klimt, The Kiss", "progress_key": "v868390389", "edit_slug": "edit/v/868390389", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gustav Klimt, The Kiss, 1907-8, oil and gold leaf on canvas, 180 x 180 cm (Österreichische Galerie Belvedere, Vienna)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gustav-klimts-the-kiss"}, "node_slug": "v/gustav-klimt--the-kiss--1907-8", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-06-23T08:00:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BRUOACBkFRg.mp4/BRUOACBkFRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BRUOACBkFRg.mp4/BRUOACBkFRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BRUOACBkFRg.m3u8/BRUOACBkFRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BRUOACBkFRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v868390389", "sha": "fbf113d6c90bbeb56c16b60483617ca63bd61121", "translated_description": "Gustav Klimt, The Kiss, 1907-8, oil and gold leaf on canvas, 180 x 180 cm (Österreichische Galerie Belvedere, Vienna)", "image_url": "https://img.youtube.com/vi/BRUOACBkFRg/hqdefault.jpg", "youtube_id": "BRUOACBkFRg", "content_kind": "Video", "readable_id": "gustav-klimt--the-kiss--1907-8"}, {"translated_youtube_id": "P1Lw1NVcI8o", "relative_url": "/video/gustav-klimt--death-and-life--1910", "has_questions": false, "keywords": "Klimt, death, life, GAP, Google Art Project, Smarthistory, Khan Academy, Art History, Vienna, Secession, Art Nouveau, Allegory, Gustav Klimt, Death and Life, 1910, 1915", "ka_url": "http://www.khanacademy.org/video/gustav-klimt--death-and-life--1910", "duration": 215, "translated_title": "Klimt, Death and Life", "translated_description_html": "Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)", "id": "708175163", "description_html": "Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)", "title": "Klimt, Death and Life", "progress_key": "v708175163", "edit_slug": "edit/v/708175163", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/klimt-death-and-life"}, "node_slug": "v/gustav-klimt--death-and-life--1910", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-07T08:00:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/P1Lw1NVcI8o.mp4/P1Lw1NVcI8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P1Lw1NVcI8o.mp4/P1Lw1NVcI8o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/P1Lw1NVcI8o.m3u8/P1Lw1NVcI8o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=P1Lw1NVcI8o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708175163", "sha": "5c4cf936a2e7b4b97fb3f48f077219c66b4a5720", "translated_description": "Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)", "image_url": "https://img.youtube.com/vi/P1Lw1NVcI8o/hqdefault.jpg", "youtube_id": "P1Lw1NVcI8o", "content_kind": "Video", "readable_id": "gustav-klimt--death-and-life--1910"}, {"translated_youtube_id": "3oeLGKeNPj0", "relative_url": "/video/arnold-b-cklin--self-portrait-with-death-playing-the-fiddle--1872", "has_questions": false, "keywords": "Arnold Böcklin, Böcklin, Bocklin Self-Portrait, Death Playing the Fiddle, 1872, Alte Nationalgalerie, painting, German, art, Google Art Project, Smarthistory, Khan Academy, OER, art history, violin", "ka_url": "http://www.khanacademy.org/video/arnold-b-cklin--self-portrait-with-death-playing-the-fiddle--1872", "duration": 179, "translated_title": "Böcklin, Self-Portrait with Death Playing the Fiddle", "translated_description_html": "Arnold Böcklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)", "id": "708138869", "description_html": "Arnold Böcklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)", "title": "Böcklin, Self-Portrait with Death Playing the Fiddle", "progress_key": "v708138869", "edit_slug": "edit/v/708138869", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Arnold Böcklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bocklin-self-portrait-with-death-playing-the-fiddle"}, "node_slug": "v/arnold-b-cklin--self-portrait-with-death-playing-the-fiddle--1872", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-07T08:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3oeLGKeNPj0.mp4/3oeLGKeNPj0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3oeLGKeNPj0.mp4/3oeLGKeNPj0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3oeLGKeNPj0.m3u8/3oeLGKeNPj0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3oeLGKeNPj0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708138869", "sha": "ea899bd7d82ecdaaf603e131a11e25ff6e1197b2", "translated_description": "Arnold Böcklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)", "image_url": "https://img.youtube.com/vi/3oeLGKeNPj0/hqdefault.jpg", "youtube_id": "3oeLGKeNPj0", "content_kind": "Video", "readable_id": "arnold-b-cklin--self-portrait-with-death-playing-the-fiddle--1872"}, {"translated_youtube_id": "Nk4DmlnoLxw", "relative_url": "/video/fernand-khnopff---i-lock-my-door-upon-myself--1891", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/fernand-khnopff---i-lock-my-door-upon-myself--1891", "duration": 313, "translated_title": "Khnopff, I Lock the Door Upon Myself, 1891", "translated_description_html": "Fernand Khnopff, I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1159664939", "description_html": "Fernand Khnopff, I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Khnopff, I Lock the Door Upon Myself, 1891", "progress_key": "v1159664939", "edit_slug": "edit/v/1159664939", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fernand Khnopff, I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/khnopffs-i-lock-the-door-upon-myself-1891"}, "node_slug": "v/fernand-khnopff---i-lock-my-door-upon-myself--1891", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-11-19T19:31:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nk4DmlnoLxw.mp4/Nk4DmlnoLxw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nk4DmlnoLxw.mp4/Nk4DmlnoLxw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nk4DmlnoLxw.m3u8/Nk4DmlnoLxw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nk4DmlnoLxw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159664939", "sha": "d19d5a151291ff82880e1861f047962dd096e05e", "translated_description": "Fernand Khnopff, I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Nk4DmlnoLxw/hqdefault.jpg", "youtube_id": "Nk4DmlnoLxw", "content_kind": "Video", "readable_id": "fernand-khnopff---i-lock-my-door-upon-myself--1891"}, {"translated_youtube_id": "cIpEZXOAn0I", "relative_url": "/video/khnopff---jeanne-k-fer--1885", "has_questions": false, "keywords": "Khnopff, Symbolism, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/khnopff---jeanne-k-fer--1885", "duration": 192, "translated_title": "Khnopff, Jeanne Kéfer", "translated_description_html": "Fernand Khnopff, Jeanne Kéfer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "670111810", "description_html": "Fernand Khnopff, Jeanne Kéfer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Khnopff, Jeanne Kéfer", "progress_key": "v670111810", "edit_slug": "edit/v/670111810", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Fernand Khnopff, Jeanne Kéfer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/khnopffs-jeanne-kefer"}, "node_slug": "v/khnopff---jeanne-k-fer--1885", "deleted": false, "backup_timestamp": "2013-09-21T10:38:50Z", "date_added": "2012-03-20T19:13:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cIpEZXOAn0I.mp4/cIpEZXOAn0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cIpEZXOAn0I.mp4/cIpEZXOAn0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cIpEZXOAn0I.m3u8/cIpEZXOAn0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cIpEZXOAn0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111810", "sha": "6251f9d001e77605f7467e6c306955c5b9040f39", "translated_description": "Fernand Khnopff, Jeanne Kéfer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/cIpEZXOAn0I/hqdefault.jpg", "youtube_id": "cIpEZXOAn0I", "content_kind": "Video", "readable_id": "khnopff---jeanne-k-fer--1885"}, {"translated_youtube_id": "muJatqh6wRM", "relative_url": "/video/franz-von-stuck--the-sin--1893", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/franz-von-stuck--the-sin--1893", "duration": 192, "translated_title": "Stuck, The Sin", "translated_description_html": "Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1159664940", "description_html": "Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Stuck, The Sin", "progress_key": "v1159664940", "edit_slug": "edit/v/1159664940", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/stucks-the-sin"}, "node_slug": "v/franz-von-stuck--the-sin--1893", "deleted": false, "backup_timestamp": "2013-09-21T10:38:51Z", "date_added": "2012-11-19T19:31:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/muJatqh6wRM.mp4/muJatqh6wRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/muJatqh6wRM.mp4/muJatqh6wRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/muJatqh6wRM.m3u8/muJatqh6wRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=muJatqh6wRM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1159664940", "sha": "3803efd16b49eca68e7a3cbf8dc6330efb979475", "translated_description": "Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/muJatqh6wRM/hqdefault.jpg", "youtube_id": "muJatqh6wRM", "content_kind": "Video", "readable_id": "franz-von-stuck--the-sin--1893"}, {"translated_youtube_id": "653ZKHd_PYo", "relative_url": "/video/munch--the-storm--1893", "has_questions": false, "keywords": "Munch, Art History, Smarthistory, Edvard Munch, MoMA", "ka_url": "http://www.khanacademy.org/video/munch--the-storm--1893", "duration": 241, "translated_title": "Munch, The Storm", "translated_description_html": "Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2\" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin", "id": "670111815", "description_html": "Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2\" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin", "title": "Munch, The Storm", "progress_key": "v670111815", "edit_slug": "edit/v/670111815", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2\" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/symbolismmunch-the-storm"}, "node_slug": "v/munch--the-storm--1893", "deleted": false, "backup_timestamp": "2013-09-22T00:24:00Z", "date_added": "2012-03-20T19:13:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/653ZKHd_PYo.mp4/653ZKHd_PYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/653ZKHd_PYo.mp4/653ZKHd_PYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/653ZKHd_PYo.m3u8/653ZKHd_PYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=653ZKHd_PYo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111815", "sha": "c20d10d598a685521b36eda9e878d096dc2922b3", "translated_description": "Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2\" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin", "image_url": "https://img.youtube.com/vi/653ZKHd_PYo/hqdefault.jpg", "youtube_id": "653ZKHd_PYo", "content_kind": "Video", "readable_id": "munch--the-storm--1893"}, {"translated_youtube_id": "TgLTzYXg530", "relative_url": "/video/rodin--the-gates-of-hell---1880-1917", "has_questions": false, "keywords": "Rodin, Gates of Hell, Smarthistory, Art History, Musee d'Orsay, Paris, Sculpture", "ka_url": "http://www.khanacademy.org/video/rodin--the-gates-of-hell---1880-1917", "duration": 253, "translated_title": "Rodin, The Gates of Hell", "translated_description_html": "Auguste Rodin, The Gates of Hell​, 1880-1917, plaster (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Musée d'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It's fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world's great art museums.", "id": "671656230", "description_html": "Auguste Rodin, The Gates of Hell​, 1880-1917, plaster (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Musée d'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It's fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world's great art museums.", "title": "Rodin, The Gates of Hell", "progress_key": "v671656230", "edit_slug": "edit/v/671656230", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Auguste Rodin, The Gates of Hell​, 1880-1917, plaster (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Musée d'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It's fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world's great art museums.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/rodins-the-gates-of-hell.html"}, "node_slug": "v/rodin--the-gates-of-hell---1880-1917", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TgLTzYXg530.mp4/TgLTzYXg530.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TgLTzYXg530.mp4/TgLTzYXg530.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TgLTzYXg530.m3u8/TgLTzYXg530.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TgLTzYXg530&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656230", "sha": "39549490b066c318899be09d383ea80999b3e184", "translated_description": "Auguste Rodin, The Gates of Hell​, 1880-1917, plaster (Musée d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Musée d'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It's fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world's great art museums.", "image_url": "https://img.youtube.com/vi/TgLTzYXg530/hqdefault.jpg", "youtube_id": "TgLTzYXg530", "content_kind": "Video", "readable_id": "rodin--the-gates-of-hell---1880-1917"}, {"translated_youtube_id": "SMqERP-J2tQ", "relative_url": "/video/gaud---church-of-the-sagrada-fam-lia--1882---consecrated-2010--still-under-construction", "has_questions": false, "keywords": "Architecture, Spanish art, Barcelona", "ka_url": "http://www.khanacademy.org/video/gaud---church-of-the-sagrada-fam-lia--1882---consecrated-2010--still-under-construction", "duration": 339, "translated_title": "Gaudí, Sagrada Família", "translated_description_html": "Antoni Gaudí, Church of the Sagrada Família or Basílica i Temple Expiatori de la \nSagrada Família Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain", "id": "670111814", "description_html": "Antoni Gaudí, Church of the Sagrada Família or Basílica i Temple Expiatori de la \nSagrada Família Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain", "title": "Gaudí, Sagrada Família", "progress_key": "v670111814", "edit_slug": "edit/v/670111814", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Antoni Gaudí, Church of the Sagrada Família or Basílica i Temple Expiatori de la \nSagrada Família Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gaudi-sagrada-familia"}, "node_slug": "v/gaud---church-of-the-sagrada-fam-lia--1882---consecrated-2010--still-under-construction", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SMqERP-J2tQ.mp4/SMqERP-J2tQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SMqERP-J2tQ.mp4/SMqERP-J2tQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SMqERP-J2tQ.m3u8/SMqERP-J2tQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SMqERP-J2tQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111814", "sha": "4187fe5ec7a7365d99ac0c55c18e0d232dcbcca8", "translated_description": "Antoni Gaudí, Church of the Sagrada Família or Basílica i Temple Expiatori de la \nSagrada Família Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain", "image_url": "https://img.youtube.com/vi/SMqERP-J2tQ/hqdefault.jpg", "youtube_id": "SMqERP-J2tQ", "content_kind": "Video", "readable_id": "gaud---church-of-the-sagrada-fam-lia--1882---consecrated-2010--still-under-construction"}, {"translated_youtube_id": "sazsDYOXVis", "relative_url": "/video/hector-guimard--cit--entrance--paris-m-tropolitain--c-1900", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hector-guimard--cit--entrance--paris-m-tropolitain--c-1900", "duration": 297, "translated_title": "Hector Guimard, Cité entrance, Paris Métropolitain, c.1900", "translated_description_html": "", "id": "x51fcf74f", "description_html": "", "title": "Hector Guimard, Cité entrance, Paris Métropolitain, c.1900", "progress_key": "vx51fcf74f", "edit_slug": "edit/v/x51fcf74f", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/guimards-cite-entrance-paris-metropolitain.html"}, "node_slug": "v/hector-guimard--cit--entrance--paris-m-tropolitain--c-1900", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-09-02T03:47:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sazsDYOXVis.mp4/sazsDYOXVis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sazsDYOXVis.mp4/sazsDYOXVis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sazsDYOXVis.m3u8/sazsDYOXVis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sazsDYOXVis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx51fcf74f", "sha": "85236e2ec3e1c64b4a38df0fe277419b5c0f1a24", "translated_description": "", "image_url": "https://img.youtube.com/vi/sazsDYOXVis/hqdefault.jpg", "youtube_id": "sazsDYOXVis", "content_kind": "Video", "readable_id": "hector-guimard--cit--entrance--paris-m-tropolitain--c-1900"}, {"translated_youtube_id": "hqynp3DH9NU", "relative_url": "/video/moma-costume-design-ballet-the-firebird", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-costume-design-ballet-the-firebird", "duration": 154, "translated_title": "Léon Bakst, \"Costume design for the ballet The Firebird\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "id": "x305a7f04", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "title": "Léon Bakst, \"Costume design for the ballet The Firebird\"", "progress_key": "vx305a7f04", "edit_slug": "edit/v/x305a7f04", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "extra_properties": {}, "node_slug": "v/moma-costume-design-ballet-the-firebird", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.mp4/hqynp3DH9NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.mp4/hqynp3DH9NU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.m3u8/hqynp3DH9NU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hqynp3DH9NU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx305a7f04", "sha": "9d1ae06818862b8ce9fc1b97f6124e6ff83e9049", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "image_url": "https://img.youtube.com/vi/hqynp3DH9NU/hqdefault.jpg", "youtube_id": "hqynp3DH9NU", "content_kind": "Video", "readable_id": "moma-costume-design-ballet-the-firebird"}], "twitter_url": "", "translated_description": "The 1880s saw a shift away from the modern-life focus of Impressionism, as artists turned toward the interior self, to dreams, and myth. There was a sense that Impressionism had been too tied up with the materialism of middle-class culture. In some ways, van Gogh and Gauguin can also be seen as Symbolists. Many Symbolist belonged to groups of artists who broke away (or seceded) from the art establishment in their respective countries, to hold their own exhibitions. For example, Klimt belonged to the Vienna Secession (he was its first president), Khnopff to a similar group in Belgium called Lex XX (The Twenty), and Stuck co-founded the Munich Secession.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The 1880s saw a shift away from the modern-life focus of Impressionism, as artists turned toward the interior self, to dreams, and myth. There was a sense that Impressionism had been too tied up with the materialism of middle-class culture. In some ways, van Gogh and Gauguin can also be seen as Symbolists. Many Symbolist belonged to groups of artists who broke away (or seceded) from the art establishment in their respective countries, to hold their own exhibitions. For example, Klimt belonged to the Vienna Secession (he was its first president), Khnopff to a similar group in Belgium called Lex XX (The Twenty), and Stuck co-founded the Munich Secession.", "x_pos": 0.0, "node_slug": "symbolism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-02T03:49:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa5f779e9", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/symbolism", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii/symbolism", "slug": "symbolism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "577ad653d3bbd53ad449a60ee15530a6155846f8", "standalone_title": "Art History: Symbolism", "y_pos": 0.0, "current_revision_key": "577ad653d3bbd53ad449a60ee15530a6155846f8", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "The art of this period is familiar, since the world of the Realists, Impressionists and Post-Impressionists is much like our own. More and more people lived in cities and worked in factories or shops for wages. Scientific and technological advances increased dramatically during this period and although there was dislocation and privation, standards of living increased sharply. In essence, modern mass culture was born. Artists responded sometimes by embracing these radical changes, and at other times by resisting them. Key here is understanding the authority of the various art academies in Europe, which controlled matters related to taste and art, and which were, to some extent, always connected to the government. A small number of artists rebelled against the strictures of the academy, and against the demand for art to tell clear stories for a middle class audience, and formed what we know as the “avant-garde.”", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The art of this period is familiar, since the world of the Realists, Impressionists and Post-Impressionists is much like our own. More and more people lived in cities and worked in factories or shops for wages. Scientific and technological advances increased dramatically during this period and although there was dislocation and privation, standards of living increased sharply. In essence, modern mass culture was born. Artists responded sometimes by embracing these radical changes, and at other times by resisting them. Key here is understanding the authority of the various art academies in Europe, which controlled matters related to taste and art, and which were, to some extent, always connected to the government. A small number of artists rebelled against the strictures of the academy, and against the demand for art to tell clear stories for a middle class audience, and formed what we know as the “avant-garde.”", "x_pos": 0.0, "node_slug": "art-history-1848-1907-industrial-revolution-ii", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3478cfee", "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii", "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii", "slug": "art-history-1848-1907-industrial-revolution-ii", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fe67979e396557c8c82c028f42a8325e467aca1c", "standalone_title": "Art History: 1848-1907 Industrial Revolution II", "y_pos": 0.0, "current_revision_key": "fe67979e396557c8c82c028f42a8325e467aca1c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict", "translated_standalone_title": "Art History: 1907-1960 Age of Global Conflict", "translated_title": "1907-1960 Age of Global Conflict", "gplus_url": "", "id": "x3012cbf2", "old_key_name": "eAKPDtDZMMng_aTH-F-AjcIowAtMbkXVlrPpjYpL", "hide": false, "title": "1907-1960 Age of Global Conflict", "child_data": [{"kind": "Topic", "id": "x94d85a49"}, {"kind": "Topic", "id": "x8c3460c5"}, {"kind": "Topic", "id": "x98409839"}, {"kind": "Topic", "id": "xfedd1d11"}, {"kind": "Topic", "id": "x5ec8d2a8"}, {"kind": "Topic", "id": "xf380cbcd"}, {"kind": "Topic", "id": "x8ffc278a"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/big-questions-modern-contemporary-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/big-questions-modern-contemporary-art", "translated_standalone_title": "Big Questions", "translated_title": "Big Questions in Modern & Contemporary Art", "gplus_url": "", "id": "x94d85a49", "old_key_name": null, "hide": false, "title": "Big Questions in Modern & Contemporary Art", "child_data": [{"kind": "Article", "id": "xbe70145c"}, {"kind": "Video", "id": 1014910268}, {"kind": "Video", "id": 1021049728}, {"kind": "Video", "id": 1283799953}, {"kind": "Video", "id": 1032809887}, {"kind": "Video", "id": 1020984445}, {"kind": "Video", "id": 1020926923}, {"kind": "Exercise", "id": "xd36363f0"}], "children": [{"translated_youtube_id": "SdbOrNLcC0I", "relative_url": "/video/andy-warhol--campbell-s-soup-cans--why-is-this-art", "has_questions": false, "keywords": "andy, warhol, campbell, soup, cans", "ka_url": "http://www.khanacademy.org/video/andy-warhol--campbell-s-soup-cans--why-is-this-art", "duration": 430, "translated_title": "Why is this art? Andy Warhol, Campbell's Soup Cans", "translated_description_html": "Steven Zucker and Sal Khan discuss Andy Warhol's Campbell's Soup Cans", "id": "1014910268", "description_html": "Steven Zucker and Sal Khan discuss Andy Warhol's Campbell's Soup Cans", "title": "Why is this art? Andy Warhol, Campbell's Soup Cans", "progress_key": "v1014910268", "edit_slug": "edit/v/1014910268", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Steven Zucker and Sal Khan discuss Andy Warhol's Campbell's Soup Cans", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/why-is-this-art-andy-warhols-campbells-soup-cans.html"}, "node_slug": "v/andy-warhol--campbell-s-soup-cans--why-is-this-art", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-08-31T19:11:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SdbOrNLcC0I.mp4/SdbOrNLcC0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SdbOrNLcC0I.mp4/SdbOrNLcC0I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SdbOrNLcC0I.m3u8/SdbOrNLcC0I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SdbOrNLcC0I&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1014910268", "sha": "89d427c657f52f3fee41ec57c5797f336d00ac0b", "translated_description": "Steven Zucker and Sal Khan discuss Andy Warhol's Campbell's Soup Cans", "image_url": "https://img.youtube.com/vi/SdbOrNLcC0I/hqdefault.jpg", "youtube_id": "SdbOrNLcC0I", "content_kind": "Video", "readable_id": "andy-warhol--campbell-s-soup-cans--why-is-this-art"}, {"translated_youtube_id": "MRv20I13vqM", "relative_url": "/video/duchamp-s-shovel--art-as-concept", "has_questions": false, "keywords": "smarthistory, MoMA, Museum of Modern Art, Art History, Duchamp, Ready-Mades, Khan Academy", "ka_url": "http://www.khanacademy.org/video/duchamp-s-shovel--art-as-concept", "duration": 608, "translated_title": "Art as concept: In Advance of the Broken Arm", "translated_description_html": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "id": "1021049728", "description_html": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "title": "Art as concept: In Advance of the Broken Arm", "progress_key": "v1021049728", "edit_slug": "edit/v/1021049728", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "extra_properties": {"originalUrl": "art history"}, "node_slug": "v/duchamp-s-shovel--art-as-concept", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.mp4/MRv20I13vqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.mp4/MRv20I13vqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.m3u8/MRv20I13vqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MRv20I13vqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1021049728", "sha": "7e849160c3680ab02510ec8a87a59ae541d3ea0f", "translated_description": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "image_url": "https://img.youtube.com/vi/MRv20I13vqM/hqdefault.jpg", "youtube_id": "MRv20I13vqM", "content_kind": "Video", "readable_id": "duchamp-s-shovel--art-as-concept"}, {"translated_youtube_id": "NT0SHjOowLA", "relative_url": "/video/why-is-that-important---looking-at-jackson-pollock", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/why-is-that-important---looking-at-jackson-pollock", "duration": 738, "translated_title": "Why is that important? Looking at Jackson Pollock", "translated_description_html": "Why is that Important?: Looking at Jackson Pollock\n\nA conversation with Sal Khan, Steven Zucker and Beth Harris", "id": "1283799953", "description_html": "Why is that Important?: Looking at Jackson Pollock\n\nA conversation with Sal Khan, Steven Zucker and Beth Harris", "title": "Why is that important? Looking at Jackson Pollock", "progress_key": "v1283799953", "edit_slug": "edit/v/1283799953", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Why is that Important?: Looking at Jackson Pollock\n\nA conversation with Sal Khan, Steven Zucker and Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/why-is-that-important.html"}, "node_slug": "v/why-is-that-important---looking-at-jackson-pollock", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2013-01-11T06:00:01Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NT0SHjOowLA.mp4/NT0SHjOowLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NT0SHjOowLA.mp4/NT0SHjOowLA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NT0SHjOowLA.m3u8/NT0SHjOowLA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NT0SHjOowLA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1283799953", "sha": "720d9c68c6af12bd41227569a04c5227ede538e9", "translated_description": "Why is that Important?: Looking at Jackson Pollock\n\nA conversation with Sal Khan, Steven Zucker and Beth Harris", "image_url": "https://img.youtube.com/vi/NT0SHjOowLA/hqdefault.jpg", "youtube_id": "NT0SHjOowLA", "content_kind": "Video", "readable_id": "why-is-that-important---looking-at-jackson-pollock"}, {"translated_youtube_id": "2aUFB9hQncQ", "relative_url": "/video/art---context", "has_questions": false, "keywords": "art history,", "ka_url": "http://www.khanacademy.org/video/art---context", "duration": 627, "translated_title": "Art and context: Monet's Cliff Walk at Pourville and Malevich's White on White", "translated_description_html": "Art & Context: Monet's Cliff Walk at Pourville & Malevich's Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris", "id": "1032809887", "description_html": "Art & Context: Monet's Cliff Walk at Pourville & Malevich's Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris", "title": "Art and context: Monet's Cliff Walk at Pourville and Malevich's White on White", "progress_key": "v1032809887", "edit_slug": "edit/v/1032809887", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Art & Context: Monet's Cliff Walk at Pourville & Malevich's Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/art-and-context-monet-and-malevich.html"}, "node_slug": "v/art---context", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-11T23:47:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2aUFB9hQncQ.mp4/2aUFB9hQncQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2aUFB9hQncQ.mp4/2aUFB9hQncQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2aUFB9hQncQ.m3u8/2aUFB9hQncQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2aUFB9hQncQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1032809887", "sha": "de4a7088c45fe51ae3850f6d8e118f9859faa055", "translated_description": "Art & Context: Monet's Cliff Walk at Pourville & Malevich's Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris", "image_url": "https://img.youtube.com/vi/2aUFB9hQncQ/hqdefault.jpg", "youtube_id": "2aUFB9hQncQ", "content_kind": "Video", "readable_id": "art---context"}, {"translated_youtube_id": "8-5DTsl1V5k", "relative_url": "/video/representation---abstraction--looking-at-millais-and-newman", "has_questions": false, "keywords": "art history, khan academy, smarthistory, abstract art, abstraction, illusion, modern art, art", "ka_url": "http://www.khanacademy.org/video/representation---abstraction--looking-at-millais-and-newman", "duration": 510, "translated_title": "Representation and abstraction: Millais's Ophelia and Newman's Vir Heroicus Sublimis", "translated_description_html": "Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus, 1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker", "id": "1020984445", "description_html": "Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus, 1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker", "title": "Representation and abstraction: Millais's Ophelia and Newman's Vir Heroicus Sublimis", "progress_key": "v1020984445", "edit_slug": "edit/v/1020984445", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus, 1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/representation-and-abstraction.html"}, "node_slug": "v/representation---abstraction--looking-at-millais-and-newman", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8-5DTsl1V5k.mp4/8-5DTsl1V5k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8-5DTsl1V5k.mp4/8-5DTsl1V5k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8-5DTsl1V5k.m3u8/8-5DTsl1V5k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8-5DTsl1V5k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1020984445", "sha": "6eb56f59335f316e14700dea6eac6201b21584d8", "translated_description": "Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus, 1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker", "image_url": "https://img.youtube.com/vi/8-5DTsl1V5k/hqdefault.jpg", "youtube_id": "8-5DTsl1V5k", "content_kind": "Video", "readable_id": "representation---abstraction--looking-at-millais-and-newman"}, {"translated_youtube_id": "uDuzy-t7GDA", "relative_url": "/video/hirst-s-shark--interpreting-contemporary-art", "has_questions": false, "keywords": "Beth Harris, Sal Khan, Steven Zucker, Damien Hirst, sculpture, Shark, contemporary art, art", "ka_url": "http://www.khanacademy.org/video/hirst-s-shark--interpreting-contemporary-art", "duration": 469, "translated_title": "Interpreting contemporary art", "translated_description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "id": "1020926923", "description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "title": "Interpreting contemporary art", "progress_key": "v1020926923", "edit_slug": "edit/v/1020926923", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/hirsts-shark-interpreting-contemporary-art.html"}, "node_slug": "v/hirst-s-shark--interpreting-contemporary-art", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.m3u8/uDuzy-t7GDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uDuzy-t7GDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1020926923", "sha": "d166b35d46f791f94e81a60939d64d9fd654b1ad", "translated_description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "image_url": "https://img.youtube.com/vi/uDuzy-t7GDA/hqdefault.jpg", "youtube_id": "uDuzy-t7GDA", "content_kind": "Video", "readable_id": "hirst-s-shark--interpreting-contemporary-art"}], "twitter_url": "", "translated_description": "Why is that art? Can art be an idea? Does art have to represent the world we see?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Why is that art? Can art be an idea? Does art have to represent the world we see?", "x_pos": 0.0, "node_slug": "big-questions-modern-contemporary-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-25T23:37:12Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax94d85a49", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/big-questions-modern-contemporary-art", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/big-questions-modern-contemporary-art", "slug": "big-questions-modern-contemporary-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1bca0eea0430ca949fc6f6544d13f634aad07994", "standalone_title": "Big Questions", "y_pos": 0.0, "current_revision_key": "1bca0eea0430ca949fc6f6544d13f634aad07994", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/expressionism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/expressionism", "translated_standalone_title": "Art history: Expressionism", "translated_title": "Expressionism", "gplus_url": "", "id": "x8c3460c5", "old_key_name": "35Sqyhlp-dwbSzWPqtXUJ3U4b6h0LsAA-Ldd4Sb8", "hide": false, "title": "Expressionism", "child_data": [{"kind": "Video", "id": 670111816}, {"kind": "Video", "id": 671718106}, {"kind": "Video", "id": 671593310}, {"kind": "Video", "id": 671656231}, {"kind": "Video", "id": "x1a0d575a"}, {"kind": "Video", "id": 671656232}, {"kind": "Video", "id": 708153521}, {"kind": "Video", "id": 708161242}, {"kind": "Video", "id": 708153522}, {"kind": "Exercise", "id": "xdeb14638"}], "children": [{"translated_youtube_id": "7d6S8y2kYSg", "relative_url": "/video/matisse--luxe--calme-et-volupt---1904", "has_questions": false, "keywords": "Matisse, Musee d'Orsay, Paris, Fauvism, Art History", "ka_url": "http://www.khanacademy.org/video/matisse--luxe--calme-et-volupt---1904", "duration": 206, "translated_title": "Matisse, Luxe, calme et volupté", "translated_description_html": "Henri Matisse, Luxe, calme et volupté, 1904, oil on canvas, 37 x 46 inches (Museé d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the Côte d'Azur. Matisse's title comes from Charles Baudelaire's\npoem, L'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupté translates just as it sounds in English, Luxury, calm, and voluptuous(ness)", "id": "670111816", "description_html": "Henri Matisse, Luxe, calme et volupté, 1904, oil on canvas, 37 x 46 inches (Museé d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the Côte d'Azur. Matisse's title comes from Charles Baudelaire's\npoem, L'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupté translates just as it sounds in English, Luxury, calm, and voluptuous(ness)", "title": "Matisse, Luxe, calme et volupté", "progress_key": "v670111816", "edit_slug": "edit/v/670111816", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Henri Matisse, Luxe, calme et volupté, 1904, oil on canvas, 37 x 46 inches (Museé d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the Côte d'Azur. Matisse's title comes from Charles Baudelaire's\npoem, L'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupté translates just as it sounds in English, Luxury, calm, and voluptuous(ness)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/matisses-luxe-calme-et-volupte"}, "node_slug": "v/matisse--luxe--calme-et-volupt---1904", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7d6S8y2kYSg.mp4/7d6S8y2kYSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7d6S8y2kYSg.mp4/7d6S8y2kYSg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7d6S8y2kYSg.m3u8/7d6S8y2kYSg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7d6S8y2kYSg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111816", "sha": "fbb747007c3ec02843a2336293d1d7e8821639a1", "translated_description": "Henri Matisse, Luxe, calme et volupté, 1904, oil on canvas, 37 x 46 inches (Museé d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the Côte d'Azur. Matisse's title comes from Charles Baudelaire's\npoem, L'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupté translates just as it sounds in English, Luxury, calm, and voluptuous(ness)", "image_url": "https://img.youtube.com/vi/7d6S8y2kYSg/hqdefault.jpg", "youtube_id": "7d6S8y2kYSg", "content_kind": "Video", "readable_id": "matisse--luxe--calme-et-volupt---1904"}, {"translated_youtube_id": "W-huWpNU-9w", "relative_url": "/video/henri-matisse--the-red-studio--1911", "has_questions": false, "keywords": "matisse, MoMA, Smarthistory, art, art history, Fauvism", "ka_url": "http://www.khanacademy.org/video/henri-matisse--the-red-studio--1911", "duration": 551, "translated_title": "Matisse, The Red Studio", "translated_description_html": "Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)", "id": "671718106", "description_html": "Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)", "title": "Matisse, The Red Studio", "progress_key": "v671718106", "edit_slug": "edit/v/671718106", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Red-Studio"}, "node_slug": "v/henri-matisse--the-red-studio--1911", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W-huWpNU-9w.mp4/W-huWpNU-9w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W-huWpNU-9w.mp4/W-huWpNU-9w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W-huWpNU-9w.m3u8/W-huWpNU-9w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W-huWpNU-9w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718106", "sha": "b614da79bb20c1c6ebbf8ffa15cce99432fc4234", "translated_description": "Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)", "image_url": "https://img.youtube.com/vi/W-huWpNU-9w/hqdefault.jpg", "youtube_id": "W-huWpNU-9w", "content_kind": "Video", "readable_id": "henri-matisse--the-red-studio--1911"}, {"translated_youtube_id": "9vI1kP-9zpw", "relative_url": "/video/henri-matisse--the-piano-lesson--1916", "has_questions": false, "keywords": "matisse, piano lesson, Smarthistory, Khan Academy, Henri Matisse", "ka_url": "http://www.khanacademy.org/video/henri-matisse--the-piano-lesson--1916", "duration": 247, "translated_title": "Matisse, Piano Lesson", "translated_description_html": "Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671593310", "description_html": "Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Matisse, Piano Lesson", "progress_key": "v671593310", "edit_slug": "edit/v/671593310", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/matisse-piano-lesson"}, "node_slug": "v/henri-matisse--the-piano-lesson--1916", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9vI1kP-9zpw.mp4/9vI1kP-9zpw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9vI1kP-9zpw.mp4/9vI1kP-9zpw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9vI1kP-9zpw.m3u8/9vI1kP-9zpw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9vI1kP-9zpw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593310", "sha": "0d2873ae6cc6af580664101983de50e7aa0a25ac", "translated_description": "Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/9vI1kP-9zpw/hqdefault.jpg", "youtube_id": "9vI1kP-9zpw", "content_kind": "Video", "readable_id": "henri-matisse--the-piano-lesson--1916"}, {"translated_youtube_id": "zfZu--psur8", "relative_url": "/video/ernst-ludwig-kirchner--street--dresden--1908", "has_questions": false, "keywords": "German art, Smarthistory", "ka_url": "http://www.khanacademy.org/video/ernst-ludwig-kirchner--street--dresden--1908", "duration": 595, "translated_title": "Kirchner, Street, Dresden", "translated_description_html": "Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "id": "671656231", "description_html": "Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "title": "Kirchner, Street, Dresden", "progress_key": "v671656231", "edit_slug": "edit/v/671656231", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Expressionism"}, "node_slug": "v/ernst-ludwig-kirchner--street--dresden--1908", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zfZu--psur8.mp4/zfZu--psur8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zfZu--psur8.mp4/zfZu--psur8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zfZu--psur8.m3u8/zfZu--psur8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zfZu--psur8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656231", "sha": "086cb3296032c6fb7ffb76ecc47bc1242a571cba", "translated_description": "Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/zfZu--psur8/hqdefault.jpg", "youtube_id": "zfZu--psur8", "content_kind": "Video", "readable_id": "ernst-ludwig-kirchner--street--dresden--1908"}, {"translated_youtube_id": "MCL1qhlSq1Y", "relative_url": "/video/MoMA-Nolde-YoungCouple", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Nolde-YoungCouple", "duration": 136, "translated_title": "Emil Nolde, \"Young Couple,\" 1913", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "id": "x1a0d575a", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "title": "Emil Nolde, \"Young Couple,\" 1913", "progress_key": "vx1a0d575a", "edit_slug": "edit/v/x1a0d575a", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-Nolde-YoungCouple", "deleted": false, "backup_timestamp": "2013-10-19T20:39:50Z", "date_added": "2013-10-19T20:39:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.mp4/MCL1qhlSq1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.mp4/MCL1qhlSq1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.m3u8/MCL1qhlSq1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MCL1qhlSq1Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1a0d575a", "sha": "fb3f5b0ed2ff205ce647a0b7457053399966677c", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/MCL1qhlSq1Y/hqdefault.jpg", "youtube_id": "MCL1qhlSq1Y", "content_kind": "Video", "readable_id": "MoMA-Nolde-YoungCouple"}, {"translated_youtube_id": "i16sGRY7SZ4", "relative_url": "/video/wassily-kandinsky--composition-vii--1913", "has_questions": false, "keywords": "Kandinsky, Expressionism, smarthistory, art history", "ka_url": "http://www.khanacademy.org/video/wassily-kandinsky--composition-vii--1913", "duration": 680, "translated_title": "Kandinsky, Composition VII", "translated_description_html": "Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html", "id": "671656232", "description_html": "Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html", "title": "Kandinsky, Composition VII", "progress_key": "v671656232", "edit_slug": "edit/v/671656232", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Kandinsky-CompositionVII"}, "node_slug": "v/wassily-kandinsky--composition-vii--1913", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i16sGRY7SZ4.mp4/i16sGRY7SZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i16sGRY7SZ4.mp4/i16sGRY7SZ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i16sGRY7SZ4.m3u8/i16sGRY7SZ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i16sGRY7SZ4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656232", "sha": "e3d495aba4d61bc49c2b25b621624c34b2600faa", "translated_description": "Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html", "image_url": "https://img.youtube.com/vi/i16sGRY7SZ4/hqdefault.jpg", "youtube_id": "i16sGRY7SZ4", "content_kind": "Video", "readable_id": "wassily-kandinsky--composition-vii--1913"}, {"translated_youtube_id": "vUxYPrznFLw", "relative_url": "/video/alexej-von-jawlensky--young-girl-in-a-flowered-hat--1910", "has_questions": false, "keywords": "Jawlensky, Hat, Young Girl, Flowered Hat, GAP Google Art Project, Art History, Smarthistory, Khan Academy, OER, Albertina, Vienna, Vien, 1910, Expressionism, Fauvism, Blue Four, Modernism, Painting, Russian, Munich", "ka_url": "http://www.khanacademy.org/video/alexej-von-jawlensky--young-girl-in-a-flowered-hat--1910", "duration": 261, "translated_title": "Jawlensky, Young Girl in a Flowered Hat", "translated_description_html": "Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)", "id": "708153521", "description_html": "Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)", "title": "Jawlensky, Young Girl in a Flowered Hat", "progress_key": "v708153521", "edit_slug": "edit/v/708153521", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/jawlensky-young-girl-in-a-flowered-hat"}, "node_slug": "v/alexej-von-jawlensky--young-girl-in-a-flowered-hat--1910", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-07T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vUxYPrznFLw.mp4/vUxYPrznFLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vUxYPrznFLw.mp4/vUxYPrznFLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vUxYPrznFLw.m3u8/vUxYPrznFLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vUxYPrznFLw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708153521", "sha": "95521e6624995ebfecca10f5b1e0dda6fe22d170", "translated_description": "Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)", "image_url": "https://img.youtube.com/vi/vUxYPrznFLw/hqdefault.jpg", "youtube_id": "vUxYPrznFLw", "content_kind": "Video", "readable_id": "alexej-von-jawlensky--young-girl-in-a-flowered-hat--1910"}, {"translated_youtube_id": "croM4PvOdbM", "relative_url": "/video/egon-schiele--seated-male-nude--self-portrait---1910", "has_questions": false, "keywords": "Schiele, Seated, Male Nude, Nude, GAP, Egon Schiele, Seated Male Nude, Self-Portrait, 1910, oil, gouache, Leopold Museum, Vienna, Expressionism, modern, art, painting, abstraction, Smarthistory, Khan Academy, Google Art Project, art history, OER", "ka_url": "http://www.khanacademy.org/video/egon-schiele--seated-male-nude--self-portrait---1910", "duration": 180, "translated_title": "Schiele, Seated Male Nude (Self-Portrait)", "translated_description_html": "Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 × 150 cm (Leopold Museum, Vienna)", "id": "708161242", "description_html": "Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 × 150 cm (Leopold Museum, Vienna)", "title": "Schiele, Seated Male Nude (Self-Portrait)", "progress_key": "v708161242", "edit_slug": "edit/v/708161242", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 × 150 cm (Leopold Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/schiele-seated-male-nude-self-portrait"}, "node_slug": "v/egon-schiele--seated-male-nude--self-portrait---1910", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-07T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/croM4PvOdbM.mp4/croM4PvOdbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/croM4PvOdbM.mp4/croM4PvOdbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/croM4PvOdbM.m3u8/croM4PvOdbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=croM4PvOdbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708161242", "sha": "ff5b73c8d3c31c0a1553207d27c81e537f022b31", "translated_description": "Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 × 150 cm (Leopold Museum, Vienna)", "image_url": "https://img.youtube.com/vi/croM4PvOdbM/hqdefault.jpg", "youtube_id": "croM4PvOdbM", "content_kind": "Video", "readable_id": "egon-schiele--seated-male-nude--self-portrait---1910"}, {"translated_youtube_id": "PqRx4OV5jhM", "relative_url": "/video/egon-schiele--hermits--1912", "has_questions": false, "keywords": "Schiele, Hermits, GAP, Egon Schiele, 1912, Leopold Museum, Vienna, Expressionism, Modernism, Klimt, painting, Figurative, Google Art Project, Smarthistory, Khan Academy, OER, art history", "ka_url": "http://www.khanacademy.org/video/egon-schiele--hermits--1912", "duration": 236, "translated_title": "Schiele, Hermits", "translated_description_html": "Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)", "id": "708153522", "description_html": "Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)", "title": "Schiele, Hermits", "progress_key": "v708153522", "edit_slug": "edit/v/708153522", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/schiele-hermits"}, "node_slug": "v/egon-schiele--hermits--1912", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-04-07T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PqRx4OV5jhM.mp4/PqRx4OV5jhM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PqRx4OV5jhM.mp4/PqRx4OV5jhM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PqRx4OV5jhM.m3u8/PqRx4OV5jhM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PqRx4OV5jhM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708153522", "sha": "92dc3fa3fdd377f4be9c7ce456d546d701e3665f", "translated_description": "Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)", "image_url": "https://img.youtube.com/vi/PqRx4OV5jhM/hqdefault.jpg", "youtube_id": "PqRx4OV5jhM", "content_kind": "Video", "readable_id": "egon-schiele--hermits--1912"}], "twitter_url": "", "translated_description": "Wild Beasts! Les Fauve (wild beasts) is what one critic called the brilliant expressive canvases of Matisse and other artists who exhibited together in 1905. This tutorial traces the work of Henri Matisse from his early Fauvist work with its jarringly bright colors to the stricter geometries he introduced during the First World War. It also tracks Expressionist developments in Germany and Austria with videos on Kirchner, Kandinsky and Jawlensky, artists who adopted a rough, “primitive” style, and on Egon Schiele’s taut, sexually charged paintings from Vienna.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Wild Beasts! Les Fauve (wild beasts) is what one critic called the brilliant expressive canvases of Matisse and other artists who exhibited together in 1905. This tutorial traces the work of Henri Matisse from his early Fauvist work with its jarringly bright colors to the stricter geometries he introduced during the First World War. It also tracks Expressionist developments in Germany and Austria with videos on Kirchner, Kandinsky and Jawlensky, artists who adopted a rough, “primitive” style, and on Egon Schiele’s taut, sexually charged paintings from Vienna.", "x_pos": 0.0, "node_slug": "expressionism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c3460c5", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/expressionism", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/expressionism", "slug": "expressionism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "521c16a867cb9b6ad46a191d261f998ad504f28b", "standalone_title": "Art history: Expressionism", "y_pos": 0.0, "current_revision_key": "521c16a867cb9b6ad46a191d261f998ad504f28b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/cubism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/cubism", "translated_standalone_title": "Art History: Cubism", "translated_title": "Cubism and its impact", "gplus_url": "", "id": "x98409839", "old_key_name": "Nz7Lz9_fy6NdxIQcC5bG3wYKwhGRcPCAitNkA7gj", "hide": false, "title": "Cubism and its impact", "child_data": [{"kind": "Video", "id": 670111817}, {"kind": "Video", "id": "x0cddd7f0"}, {"kind": "Video", "id": 671385817}, {"kind": "Video", "id": 671593315}, {"kind": "Video", "id": 1175994509}, {"kind": "Video", "id": "x7219d5b5"}, {"kind": "Video", "id": 669368696}, {"kind": "Video", "id": 671634401}, {"kind": "Video", "id": 671385818}, {"kind": "Video", "id": 671593317}, {"kind": "Video", "id": "x9b526c4a"}, {"kind": "Video", "id": "xd3466b44"}, {"kind": "Video", "id": "xf8f04cb4"}, {"kind": "Video", "id": "xa5cfd029"}, {"kind": "Video", "id": 719804660}, {"kind": "Video", "id": "x56cc9e0e"}, {"kind": "Video", "id": 671738052}, {"kind": "Video", "id": 671718110}, {"kind": "Video", "id": 708138870}, {"kind": "Exercise", "id": "x21bf1551"}], "children": [{"translated_youtube_id": "286FiUvOeFs", "relative_url": "/video/picasso--still-life-with-chair-caning--1912", "has_questions": false, "keywords": "picasso, Still-Life, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/picasso--still-life-with-chair-caning--1912", "duration": 816, "translated_title": "Picasso, Still Life with Chair Caning", "translated_description_html": "Picasso, Still-Life with Chair Caning, 1912 (Musée Picasso)", "id": "670111817", "description_html": "Picasso, Still-Life with Chair Caning, 1912 (Musée Picasso)", "title": "Picasso, Still Life with Chair Caning", "progress_key": "v670111817", "edit_slug": "edit/v/670111817", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Picasso, Still-Life with Chair Caning, 1912 (Musée Picasso)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/cubism"}, "node_slug": "v/picasso--still-life-with-chair-caning--1912", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/286FiUvOeFs.mp4/286FiUvOeFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/286FiUvOeFs.mp4/286FiUvOeFs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/286FiUvOeFs.m3u8/286FiUvOeFs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=286FiUvOeFs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111817", "sha": "5792a0c5337681f811a853d924d4b381d3a0dc4e", "translated_description": "Picasso, Still-Life with Chair Caning, 1912 (Musée Picasso)", "image_url": "https://img.youtube.com/vi/286FiUvOeFs/hqdefault.jpg", "youtube_id": "286FiUvOeFs", "content_kind": "Video", "readable_id": "picasso--still-life-with-chair-caning--1912"}, {"translated_youtube_id": "-jXFckR2yoY", "relative_url": "/video/MoMA-Picasso-GlassGuitarBottle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Picasso-GlassGuitarBottle", "duration": 129, "translated_title": "Pablo Picasso, \"Guitar, Glass, and Bottle\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "id": "x0cddd7f0", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "title": "Pablo Picasso, \"Guitar, Glass, and Bottle\"", "progress_key": "vx0cddd7f0", "edit_slug": "edit/v/x0cddd7f0", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945.", "extra_properties": {}, "node_slug": "v/MoMA-Picasso-GlassGuitarBottle", "deleted": false, "backup_timestamp": "2013-10-19T22:09:33Z", "date_added": "2013-10-19T22:09:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.mp4/-jXFckR2yoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.mp4/-jXFckR2yoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.m3u8/-jXFckR2yoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-jXFckR2yoY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0cddd7f0", "sha": "9fdd66d6dcf2f69015573fa36b6a1734789f87ec", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945.", "image_url": "https://img.youtube.com/vi/-jXFckR2yoY/hqdefault.jpg", "youtube_id": "-jXFckR2yoY", "content_kind": "Video", "readable_id": "MoMA-Picasso-GlassGuitarBottle"}, {"translated_youtube_id": "fy2TlYnYIzA", "relative_url": "/video/picasso--les-demoiselles-d-avignon--1907", "has_questions": false, "keywords": "picasso, cubism, art, art history, smarthistory, MoMA, Les Demoiselles d'Avignon", "ka_url": "http://www.khanacademy.org/video/picasso--les-demoiselles-d-avignon--1907", "duration": 465, "translated_title": "Picasso, Les Demoiselles d'Avignon", "translated_description_html": "Pablo Picasso, Les Demoiselles d'Avignon, 1907 (Museum of Modern Art)", "id": "671385817", "description_html": "Pablo Picasso, Les Demoiselles d'Avignon, 1907 (Museum of Modern Art)", "title": "Picasso, Les Demoiselles d'Avignon", "progress_key": "v671385817", "edit_slug": "edit/v/671385817", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Pablo Picasso, Les Demoiselles d'Avignon, 1907 (Museum of Modern Art)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/les-demoiselles-davignon"}, "node_slug": "v/picasso--les-demoiselles-d-avignon--1907", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fy2TlYnYIzA.mp4/fy2TlYnYIzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fy2TlYnYIzA.mp4/fy2TlYnYIzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fy2TlYnYIzA.m3u8/fy2TlYnYIzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fy2TlYnYIzA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385817", "sha": "b2b130ff169c0ba34c4f5d9cc05d8fc236f29b19", "translated_description": "Pablo Picasso, Les Demoiselles d'Avignon, 1907 (Museum of Modern Art)", "image_url": "https://img.youtube.com/vi/fy2TlYnYIzA/hqdefault.jpg", "youtube_id": "fy2TlYnYIzA", "content_kind": "Video", "readable_id": "picasso--les-demoiselles-d-avignon--1907"}, {"translated_youtube_id": "IXtreNuEC-Q", "relative_url": "/video/picasso--the-reservoir--horta-de-ebro--1909", "has_questions": false, "keywords": "art history, Picasso, art, painting, cubism, Smarthistory, Museum of Modern Art", "ka_url": "http://www.khanacademy.org/video/picasso--the-reservoir--horta-de-ebro--1909", "duration": 255, "translated_title": "Picasso, The Reservoir, Horta de Ebro", "translated_description_html": "Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8\" (MoMA, fractional and promised gift)", "id": "671593315", "description_html": "Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8\" (MoMA, fractional and promised gift)", "title": "Picasso, The Reservoir, Horta de Ebro", "progress_key": "v671593315", "edit_slug": "edit/v/671593315", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8\" (MoMA, fractional and promised gift)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-reservoir-horta-de-ebro"}, "node_slug": "v/picasso--the-reservoir--horta-de-ebro--1909", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IXtreNuEC-Q.mp4/IXtreNuEC-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IXtreNuEC-Q.mp4/IXtreNuEC-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IXtreNuEC-Q.m3u8/IXtreNuEC-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IXtreNuEC-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593315", "sha": "63c637f8d43893cf6ed1462bb00772c4707e959c", "translated_description": "Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8\" (MoMA, fractional and promised gift)", "image_url": "https://img.youtube.com/vi/IXtreNuEC-Q/hqdefault.jpg", "youtube_id": "IXtreNuEC-Q", "content_kind": "Video", "readable_id": "picasso--the-reservoir--horta-de-ebro--1909"}, {"translated_youtube_id": "bfy6IxsN_lg", "relative_url": "/video/the-language-of-representation--pablo-picasso-s-guitar--1912-14", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-language-of-representation--pablo-picasso-s-guitar--1912-14", "duration": 257, "translated_title": "Picasso, Guitar", "translated_description_html": "A conversation between Salman Khan and Steven Zucker about Pablo Picasso's sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art", "id": "1175994509", "description_html": "A conversation between Salman Khan and Steven Zucker about Pablo Picasso's sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art", "title": "Picasso, Guitar", "progress_key": "v1175994509", "edit_slug": "edit/v/1175994509", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "A conversation between Salman Khan and Steven Zucker about Pablo Picasso's sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/guitar"}, "node_slug": "v/the-language-of-representation--pablo-picasso-s-guitar--1912-14", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-11-27T11:00:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bfy6IxsN_lg.mp4/bfy6IxsN_lg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bfy6IxsN_lg.mp4/bfy6IxsN_lg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bfy6IxsN_lg.m3u8/bfy6IxsN_lg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bfy6IxsN_lg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1175994509", "sha": "b41c0a659e6a64e1e5da47678d2c8daa4f523c2b", "translated_description": "A conversation between Salman Khan and Steven Zucker about Pablo Picasso's sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art", "image_url": "https://img.youtube.com/vi/bfy6IxsN_lg/hqdefault.jpg", "youtube_id": "bfy6IxsN_lg", "content_kind": "Video", "readable_id": "the-language-of-representation--pablo-picasso-s-guitar--1912-14"}, {"translated_youtube_id": "YwnfVj5qeo4", "relative_url": "/video/moma-picasso-guitars-1912-1914", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-picasso-guitars-1912-1914", "duration": 197, "translated_title": "Conservation | Picasso's Guitars, 1912-1914", "translated_description_html": "

Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar<\/em>. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "id": "x7219d5b5", "description_html": "

Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar<\/em>. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "title": "Conservation | Picasso's Guitars, 1912-1914", "progress_key": "vx7219d5b5", "edit_slug": "edit/v/x7219d5b5", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/moma-picasso-guitars-1912-1914", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.mp4/YwnfVj5qeo4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.mp4/YwnfVj5qeo4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.m3u8/YwnfVj5qeo4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YwnfVj5qeo4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7219d5b5", "sha": "ff6684ea357ee3ae0fc8ee7f847c8d9e38df8d31", "translated_description": "Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/YwnfVj5qeo4/hqdefault.jpg", "youtube_id": "YwnfVj5qeo4", "content_kind": "Video", "readable_id": "moma-picasso-guitars-1912-1914"}, {"translated_youtube_id": "K1_qjc4SQlk", "relative_url": "/video/picasso--guernica--1937", "has_questions": false, "keywords": "picasso, guernica, smarthistory, art, art history, Franco", "ka_url": "http://www.khanacademy.org/video/picasso--guernica--1937", "duration": 534, "translated_title": "Picasso, Guernica", "translated_description_html": "Picasso, Guernica, oil on canvas, 1937 (Museo Reina Sofia, Madrid)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "669368696", "description_html": "Picasso, Guernica, oil on canvas, 1937 (Museo Reina Sofia, Madrid)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Picasso, Guernica", "progress_key": "v669368696", "edit_slug": "edit/v/669368696", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Picasso, Guernica, oil on canvas, 1937 (Museo Reina Sofia, Madrid)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/picasso-guernica"}, "node_slug": "v/picasso--guernica--1937", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/K1_qjc4SQlk.mp4/K1_qjc4SQlk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K1_qjc4SQlk.mp4/K1_qjc4SQlk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/K1_qjc4SQlk.m3u8/K1_qjc4SQlk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=K1_qjc4SQlk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368696", "sha": "739f910ca8005029aae3b31c0df3299dd556b9fd", "translated_description": "Picasso, Guernica, oil on canvas, 1937 (Museo Reina Sofia, Madrid)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/K1_qjc4SQlk/hqdefault.jpg", "youtube_id": "K1_qjc4SQlk", "content_kind": "Video", "readable_id": "picasso--guernica--1937"}, {"translated_youtube_id": "j2-95i4pq9g", "relative_url": "/video/braque--le-viaduc---l-estaque---the-viaduct-at-l-estaque---1908", "has_questions": false, "keywords": "Braque, Pompidou, L'Estaque Viaduct, Art History, Smarthistory, Art, Impressionism, Cezanne", "ka_url": "http://www.khanacademy.org/video/braque--le-viaduc---l-estaque---the-viaduct-at-l-estaque---1908", "duration": 231, "translated_title": "Braque, The Viaduct at L'Estaque", "translated_description_html": "Georges Braque, Le Viaduc à L'Estaque, (The Viaduct at L'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Musée national d'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html", "id": "671634401", "description_html": "Georges Braque, Le Viaduc à L'Estaque, (The Viaduct at L'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Musée national d'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html", "title": "Braque, The Viaduct at L'Estaque", "progress_key": "v671634401", "edit_slug": "edit/v/671634401", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Georges Braque, Le Viaduc à L'Estaque, (The Viaduct at L'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Musée national d'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/the-viaduct-at-lestaque"}, "node_slug": "v/braque--le-viaduc---l-estaque---the-viaduct-at-l-estaque---1908", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j2-95i4pq9g.mp4/j2-95i4pq9g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j2-95i4pq9g.mp4/j2-95i4pq9g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j2-95i4pq9g.m3u8/j2-95i4pq9g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j2-95i4pq9g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634401", "sha": "ccdc3675f8d9027323f7443fb2dadc4f826932ec", "translated_description": "Georges Braque, Le Viaduc à L'Estaque, (The Viaduct at L'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Musée national d'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html", "image_url": "https://img.youtube.com/vi/j2-95i4pq9g/hqdefault.jpg", "youtube_id": "j2-95i4pq9g", "content_kind": "Video", "readable_id": "braque--le-viaduc---l-estaque---the-viaduct-at-l-estaque---1908"}, {"translated_youtube_id": "JHul281Kmtk", "relative_url": "/video/futurism", "has_questions": false, "keywords": "Futurism", "ka_url": "http://www.khanacademy.org/video/futurism", "duration": 686, "translated_title": "Three Futurists: Balla, Severini and Boccioni", "translated_description_html": "Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)", "id": "671385818", "description_html": "Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)", "title": "Three Futurists: Balla, Severini and Boccioni", "progress_key": "v671385818", "edit_slug": "edit/v/671385818", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/three-futurists-art-work-by-balla-severini-and-boccioni"}, "node_slug": "v/futurism", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JHul281Kmtk.mp4/JHul281Kmtk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JHul281Kmtk.mp4/JHul281Kmtk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JHul281Kmtk.m3u8/JHul281Kmtk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JHul281Kmtk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385818", "sha": "955dedb492e6c23b3436d9ac2b7437cc8351b4c0", "translated_description": "Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)", "image_url": "https://img.youtube.com/vi/JHul281Kmtk/hqdefault.jpg", "youtube_id": "JHul281Kmtk", "content_kind": "Video", "readable_id": "futurism"}, {"translated_youtube_id": "NpWxl4C0OWU", "relative_url": "/video/mondrian--composition-no--ii--with-red-and-blue--1929", "has_questions": false, "keywords": "Mondrian, Smarthistory, Art History, Piet Mondrian", "ka_url": "http://www.khanacademy.org/video/mondrian--composition-no--ii--with-red-and-blue--1929", "duration": 363, "translated_title": "Mondrian, Composition No. II, with Red and Blue", "translated_description_html": "Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8\" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671593317", "description_html": "Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8\" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Mondrian, Composition No. II, with Red and Blue", "progress_key": "v671593317", "edit_slug": "edit/v/671593317", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8\" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/de-stijl-mondrian"}, "node_slug": "v/mondrian--composition-no--ii--with-red-and-blue--1929", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NpWxl4C0OWU.mp4/NpWxl4C0OWU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NpWxl4C0OWU.mp4/NpWxl4C0OWU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NpWxl4C0OWU.m3u8/NpWxl4C0OWU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NpWxl4C0OWU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593317", "sha": "c8ed51bab236deb68287f433c61f0ec0a9b89f6c", "translated_description": "Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8\" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/NpWxl4C0OWU/hqdefault.jpg", "youtube_id": "NpWxl4C0OWU", "content_kind": "Video", "readable_id": "mondrian--composition-no--ii--with-red-and-blue--1929"}, {"translated_youtube_id": "GLEJgVSL0Ac", "relative_url": "/video/dynamism-soccer-player-boccioni", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dynamism-soccer-player-boccioni", "duration": 100, "translated_title": "Umberto Boccioni, \"Dynamism of a Soccer Player\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "id": "x9b526c4a", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "title": "Umberto Boccioni, \"Dynamism of a Soccer Player\"", "progress_key": "vx9b526c4a", "edit_slug": "edit/v/x9b526c4a", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/dynamism-soccer-player-boccioni", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.mp4/GLEJgVSL0Ac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.mp4/GLEJgVSL0Ac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.m3u8/GLEJgVSL0Ac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GLEJgVSL0Ac&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9b526c4a", "sha": "2caff163426ffd07713441107f528eab8715a129", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/GLEJgVSL0Ac/hqdefault.jpg", "youtube_id": "GLEJgVSL0Ac", "content_kind": "Video", "readable_id": "dynamism-soccer-player-boccioni"}, {"translated_youtube_id": "iKGCnjBi2sQ", "relative_url": "/video/moma-contrast-of-forms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-contrast-of-forms", "duration": 140, "translated_title": "Fernand Léger, \"Contrast of Forms\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "id": "xd3466b44", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "title": "Fernand Léger, \"Contrast of Forms\"", "progress_key": "vxd3466b44", "edit_slug": "edit/v/xd3466b44", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "extra_properties": {}, "node_slug": "v/moma-contrast-of-forms", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.mp4/iKGCnjBi2sQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.mp4/iKGCnjBi2sQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.m3u8/iKGCnjBi2sQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iKGCnjBi2sQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd3466b44", "sha": "e76ff309e160c7a79e10522955e1e20cc80b65ca", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "image_url": "https://img.youtube.com/vi/iKGCnjBi2sQ/hqdefault.jpg", "youtube_id": "iKGCnjBi2sQ", "content_kind": "Video", "readable_id": "moma-contrast-of-forms"}, {"translated_youtube_id": "NhllG85qiwg", "relative_url": "/video/MoMA-deChirico-AnxiousJourney", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-deChirico-AnxiousJourney", "duration": 159, "translated_title": "Giorgio de Chirico, \"The Anxious Journey\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "id": "xf8f04cb4", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "title": "Giorgio de Chirico, \"The Anxious Journey\"", "progress_key": "vxf8f04cb4", "edit_slug": "edit/v/xf8f04cb4", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-deChirico-AnxiousJourney", "deleted": false, "backup_timestamp": "2013-10-19T21:20:48Z", "date_added": "2013-10-19T21:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.mp4/NhllG85qiwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.mp4/NhllG85qiwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.m3u8/NhllG85qiwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NhllG85qiwg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf8f04cb4", "sha": "8fcc46d670cdd64a2b369d1833784abaed1c4676", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/NhllG85qiwg/hqdefault.jpg", "youtube_id": "NhllG85qiwg", "content_kind": "Video", "readable_id": "MoMA-deChirico-AnxiousJourney"}, {"translated_youtube_id": "PkzACPGZcVk", "relative_url": "/video/moma-simultaneous-contrasts-sun-moon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-simultaneous-contrasts-sun-moon", "duration": 121, "translated_title": "Robert Delaunay, \"Simultaneous Contrasts: Sun and Moon\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "id": "xa5cfd029", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "title": "Robert Delaunay, \"Simultaneous Contrasts: Sun and Moon\"", "progress_key": "vxa5cfd029", "edit_slug": "edit/v/xa5cfd029", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/moma-simultaneous-contrasts-sun-moon", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.mp4/PkzACPGZcVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.mp4/PkzACPGZcVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.m3u8/PkzACPGZcVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PkzACPGZcVk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa5cfd029", "sha": "266c98618bedca7bac2f329557dccfa9f82c310b", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/PkzACPGZcVk/hqdefault.jpg", "youtube_id": "PkzACPGZcVk", "content_kind": "Video", "readable_id": "moma-simultaneous-contrasts-sun-moon"}, {"translated_youtube_id": "JAe14gwSvIU", "relative_url": "/video/raymond-duchamp-villon--horse--1914", "has_questions": false, "keywords": "Raymond Duchamp-Villon, Duchamp-Villon, Horse, 1914, bronze, Art Institute of Chicago, Chicago, WWI, sculpture, First World War, Machine art, modern sculpture, Google Art Project, Khan Academy, Smarthistory, art history, OER", "ka_url": "http://www.khanacademy.org/video/raymond-duchamp-villon--horse--1914", "duration": 229, "translated_title": "Duchamp-Villon, Horse", "translated_description_html": "Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)", "id": "719804660", "description_html": "Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)", "title": "Duchamp-Villon, Horse", "progress_key": "v719804660", "edit_slug": "edit/v/719804660", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/raymond-duchamp-villons-horse"}, "node_slug": "v/raymond-duchamp-villon--horse--1914", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-04-13T08:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JAe14gwSvIU.mp4/JAe14gwSvIU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JAe14gwSvIU.mp4/JAe14gwSvIU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JAe14gwSvIU.m3u8/JAe14gwSvIU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JAe14gwSvIU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719804660", "sha": "821b78f97d866890453bdf0b1b595f94c4d23f3f", "translated_description": "Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)", "image_url": "https://img.youtube.com/vi/JAe14gwSvIU/hqdefault.jpg", "youtube_id": "JAe14gwSvIU", "content_kind": "Video", "readable_id": "raymond-duchamp-villon--horse--1914"}, {"translated_youtube_id": "T6G0ewxKkCQ", "relative_url": "/video/MoMA-Brancusi-Pogany", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Brancusi-Pogany", "duration": 121, "translated_title": "Constantin Brancusi, \"Mlle Pogany\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "id": "x56cc9e0e", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "title": "Constantin Brancusi, \"Mlle Pogany\"", "progress_key": "vx56cc9e0e", "edit_slug": "edit/v/x56cc9e0e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945.", "extra_properties": {}, "node_slug": "v/MoMA-Brancusi-Pogany", "deleted": false, "backup_timestamp": "2013-10-19T21:31:12Z", "date_added": "2013-10-19T21:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.mp4/T6G0ewxKkCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.mp4/T6G0ewxKkCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.m3u8/T6G0ewxKkCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T6G0ewxKkCQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx56cc9e0e", "sha": "b66d13ecd69dbe452bd2b9fd7e82cc3c19bdf083", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945.", "image_url": "https://img.youtube.com/vi/T6G0ewxKkCQ/hqdefault.jpg", "youtube_id": "T6G0ewxKkCQ", "content_kind": "Video", "readable_id": "MoMA-Brancusi-Pogany"}, {"translated_youtube_id": "xWTzH7RV80g", "relative_url": "/video/brancusi--bird-in-space--1928", "has_questions": false, "keywords": "smarthistory, art history, Brancusi, MoMA", "ka_url": "http://www.khanacademy.org/video/brancusi--bird-in-space--1928", "duration": 159, "translated_title": "Brancusi, Bird in Space", "translated_description_html": "Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "671738052", "description_html": "Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Brancusi, Bird in Space", "progress_key": "v671738052", "edit_slug": "edit/v/671738052", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/sculpture-brancusis-bird-in-space"}, "node_slug": "v/brancusi--bird-in-space--1928", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xWTzH7RV80g.mp4/xWTzH7RV80g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xWTzH7RV80g.mp4/xWTzH7RV80g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xWTzH7RV80g.m3u8/xWTzH7RV80g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xWTzH7RV80g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738052", "sha": "87a657cc65ba0e57dd3578f6d9521fe9743be3e4", "translated_description": "Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/xWTzH7RV80g/hqdefault.jpg", "youtube_id": "xWTzH7RV80g", "content_kind": "Video", "readable_id": "brancusi--bird-in-space--1928"}, {"translated_youtube_id": "YxMBp4Ef3ek", "relative_url": "/video/cartier-bresson--behind-the-gare-saint-lazare--paris--1932", "has_questions": false, "keywords": "cartier-bresson, photography, art history, smarthistory", "ka_url": "http://www.khanacademy.org/video/cartier-bresson--behind-the-gare-saint-lazare--paris--1932", "duration": 243, "translated_title": "Cartier-Bresson, Behind the Gare St. Lazare", "translated_description_html": "Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "id": "671718110", "description_html": "Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "title": "Cartier-Bresson, Behind the Gare St. Lazare", "progress_key": "v671718110", "edit_slug": "edit/v/671718110", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/photography-cartier-bresson"}, "node_slug": "v/cartier-bresson--behind-the-gare-saint-lazare--paris--1932", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YxMBp4Ef3ek.mp4/YxMBp4Ef3ek.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YxMBp4Ef3ek.mp4/YxMBp4Ef3ek.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YxMBp4Ef3ek.m3u8/YxMBp4Ef3ek.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YxMBp4Ef3ek&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718110", "sha": "cdc83eb1cab989c1acae333452852efe4da3be11", "translated_description": "Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/YxMBp4Ef3ek/hqdefault.jpg", "youtube_id": "YxMBp4Ef3ek", "content_kind": "Video", "readable_id": "cartier-bresson--behind-the-gare-saint-lazare--paris--1932"}, {"translated_youtube_id": "3sCB3udmu1Y", "relative_url": "/video/amedeo-modigliani--young-woman-in-a-shirt--1918", "has_questions": false, "keywords": "Modigliani, Shirt, GAP, Albertina, Art History, Smarthistory, Khan Academy, Google Art Project, OER, Italian, Modernism, Abstraction, Nude, Painting, Art, Viena, Vien, Amedeo Modigliani, Young Woman in a Shirt, 1918", "ka_url": "http://www.khanacademy.org/video/amedeo-modigliani--young-woman-in-a-shirt--1918", "duration": 277, "translated_title": "Modigliani, Young Woman in a Shirt", "translated_description_html": "Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)", "id": "708138870", "description_html": "Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)", "title": "Modigliani, Young Woman in a Shirt", "progress_key": "v708138870", "edit_slug": "edit/v/708138870", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/school-of-paris-modigliani-young-woman-in-a-shirt"}, "node_slug": "v/amedeo-modigliani--young-woman-in-a-shirt--1918", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-07T08:00:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3sCB3udmu1Y.mp4/3sCB3udmu1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3sCB3udmu1Y.mp4/3sCB3udmu1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3sCB3udmu1Y.m3u8/3sCB3udmu1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3sCB3udmu1Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v708138870", "sha": "d9308c3dab18b3bb9c34194b69554c3139088503", "translated_description": "Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)", "image_url": "https://img.youtube.com/vi/3sCB3udmu1Y/hqdefault.jpg", "youtube_id": "3sCB3udmu1Y", "content_kind": "Video", "readable_id": "amedeo-modigliani--young-woman-in-a-shirt--1918"}], "twitter_url": "", "translated_description": "The Spaniard Picasso changed the way we see the world. He could draw with academic perfection at a very young age but he gave it up in order to create a language of representation suited to the modern world. Together with the French artist George Braque, Picasso undertook an analysis of form and vision that would inspire radical new visual forms across Europe and in America. This tutorial explains the underlying principles of Cubism and the abstract experiments that followed including Italian Futurism, Russian Suprematism, and the Dutch movement, de Stijl.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "The Spaniard Picasso changed the way we see the world. He could draw with academic perfection at a very young age but he gave it up in order to create a language of representation suited to the modern world. Together with the French artist George Braque, Picasso undertook an analysis of form and vision that would inspire radical new visual forms across Europe and in America. This tutorial explains the underlying principles of Cubism and the abstract experiments that followed including Italian Futurism, Russian Suprematism, and the Dutch movement, de Stijl.", "x_pos": 0.0, "node_slug": "cubism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax98409839", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/cubism", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/cubism", "slug": "cubism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fbbcd34ca998a4f5a24509c2e4d37bba8f7f7fc1", "standalone_title": "Art History: Cubism", "y_pos": 0.0, "current_revision_key": "fbbcd34ca998a4f5a24509c2e4d37bba8f7f7fc1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/dada", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/dada", "translated_standalone_title": "Art history: Dada", "translated_title": "Dada & Surrealism", "gplus_url": "", "id": "xfedd1d11", "old_key_name": "eYNMlX4DDVsRvJ82lUCbbZ1m7oONDLQXeE-gsCNG", "hide": false, "title": "Dada & Surrealism", "child_data": [{"kind": "Video", "id": 671593311}, {"kind": "Video", "id": 1021049728}, {"kind": "Video", "id": 1233757970}, {"kind": "Video", "id": 671593308}, {"kind": "Video", "id": 671593309}, {"kind": "Video", "id": 669368692}, {"kind": "Video", "id": 671593312}, {"kind": "Video", "id": 669368695}, {"kind": "Video", "id": 669368691}, {"kind": "Video", "id": 671634399}, {"kind": "Video", "id": 671718109}, {"kind": "Video", "id": 1226959825}, {"kind": "Video", "id": 669368694}, {"kind": "Exercise", "id": "xba8e7969"}], "children": [{"translated_youtube_id": "zvrD8ConF1E", "relative_url": "/video/duchamp-readymade", "has_questions": false, "keywords": "Duchamp, ReadyMade", "ka_url": "http://www.khanacademy.org/video/duchamp-readymade", "duration": 613, "translated_title": "Dada Duchamp and the Ready-Mades", "translated_description_html": "", "id": "671593311", "description_html": "", "title": "Dada Duchamp and the Ready-Mades", "progress_key": "v671593311", "edit_slug": "edit/v/671593311", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/dada"}, "node_slug": "v/duchamp-readymade", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zvrD8ConF1E.mp4/zvrD8ConF1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zvrD8ConF1E.mp4/zvrD8ConF1E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zvrD8ConF1E.m3u8/zvrD8ConF1E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zvrD8ConF1E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593311", "sha": "87070c63d3fff4f39aeadd1cffbd8a0ca68f3bf4", "translated_description": "", "image_url": "https://img.youtube.com/vi/zvrD8ConF1E/hqdefault.jpg", "youtube_id": "zvrD8ConF1E", "content_kind": "Video", "readable_id": "duchamp-readymade"}, {"translated_youtube_id": "MRv20I13vqM", "relative_url": "/video/duchamp-s-shovel--art-as-concept", "has_questions": false, "keywords": "smarthistory, MoMA, Museum of Modern Art, Art History, Duchamp, Ready-Mades, Khan Academy", "ka_url": "http://www.khanacademy.org/video/duchamp-s-shovel--art-as-concept", "duration": 608, "translated_title": "Art as concept: In Advance of the Broken Arm", "translated_description_html": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "id": "1021049728", "description_html": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "title": "Art as concept: In Advance of the Broken Arm", "progress_key": "v1021049728", "edit_slug": "edit/v/1021049728", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "extra_properties": {"originalUrl": "art history"}, "node_slug": "v/duchamp-s-shovel--art-as-concept", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.mp4/MRv20I13vqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.mp4/MRv20I13vqM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MRv20I13vqM.m3u8/MRv20I13vqM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MRv20I13vqM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1021049728", "sha": "7e849160c3680ab02510ec8a87a59ae541d3ea0f", "translated_description": "Art as Concept: Duchamp's Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker", "image_url": "https://img.youtube.com/vi/MRv20I13vqM/hqdefault.jpg", "youtube_id": "MRv20I13vqM", "content_kind": "Video", "readable_id": "duchamp-s-shovel--art-as-concept"}, {"translated_youtube_id": "FmjSUyyc-3M", "relative_url": "/video/marcel-duchamp--fountain--1917", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/marcel-duchamp--fountain--1917", "duration": 192, "translated_title": "Duchamp, Fountain", "translated_description_html": "

A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art<\/p>\n", "id": "1233757970", "description_html": "

A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art<\/p>\n", "title": "Duchamp, Fountain", "progress_key": "v1233757970", "edit_slug": "edit/v/1233757970", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art\n", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/duchamps-fountain"}, "node_slug": "v/marcel-duchamp--fountain--1917", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-12-17T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FmjSUyyc-3M.mp4/FmjSUyyc-3M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FmjSUyyc-3M.mp4/FmjSUyyc-3M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FmjSUyyc-3M.m3u8/FmjSUyyc-3M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FmjSUyyc-3M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1233757970", "sha": "0180d9e92f7bd56fad95b8b1e63bfa318e0d4999", "translated_description": "A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art\n", "image_url": "https://img.youtube.com/vi/FmjSUyyc-3M/hqdefault.jpg", "youtube_id": "FmjSUyyc-3M", "content_kind": "Video", "readable_id": "marcel-duchamp--fountain--1917"}, {"translated_youtube_id": "yOAlbFVKGfk", "relative_url": "/video/marcel-duchamp--boite-en-valise--the-red-box---series-f--1960", "has_questions": false, "keywords": "art history, duchamp, ready-mades, ready-made, dada, Smarthistory", "ka_url": "http://www.khanacademy.org/video/marcel-duchamp--boite-en-valise--the-red-box---series-f--1960", "duration": 300, "translated_title": "Duchamp, Boite-en-valise (the red box), series F", "translated_description_html": "Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris", "id": "671593308", "description_html": "Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris", "title": "Duchamp, Boite-en-valise (the red box), series F", "progress_key": "v671593308", "edit_slug": "edit/v/671593308", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/marcel-duchamps-boite-en-valise-series-f"}, "node_slug": "v/marcel-duchamp--boite-en-valise--the-red-box---series-f--1960", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-03-20T19:13:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yOAlbFVKGfk.mp4/yOAlbFVKGfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yOAlbFVKGfk.mp4/yOAlbFVKGfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yOAlbFVKGfk.m3u8/yOAlbFVKGfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yOAlbFVKGfk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593308", "sha": "9ccba533329024c10680ba25ab701d7f35e7d175", "translated_description": "Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/yOAlbFVKGfk/hqdefault.jpg", "youtube_id": "yOAlbFVKGfk", "content_kind": "Video", "readable_id": "marcel-duchamp--boite-en-valise--the-red-box---series-f--1960"}, {"translated_youtube_id": "3wm0589mLbM", "relative_url": "/video/jean--hans--arp--untitled--collage-with-squares-arranged-according-to-the-laws-of-chance---1916-17", "has_questions": false, "keywords": "Arp, Hans Arp, Jean Arp, Dada, Swiss art, collage, Smarthistory, art history, modern art", "ka_url": "http://www.khanacademy.org/video/jean--hans--arp--untitled--collage-with-squares-arranged-according-to-the-laws-of-chance---1916-17", "duration": 215, "translated_title": "Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance)", "translated_description_html": "Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "671593309", "description_html": "Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance)", "progress_key": "v671593309", "edit_slug": "edit/v/671593309", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/jean-arp"}, "node_slug": "v/jean--hans--arp--untitled--collage-with-squares-arranged-according-to-the-laws-of-chance---1916-17", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3wm0589mLbM.mp4/3wm0589mLbM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3wm0589mLbM.mp4/3wm0589mLbM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3wm0589mLbM.m3u8/3wm0589mLbM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3wm0589mLbM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593309", "sha": "096b95bd7648691658a31d66016ab2fe4b178bfc", "translated_description": "Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/3wm0589mLbM/hqdefault.jpg", "youtube_id": "3wm0589mLbM", "content_kind": "Video", "readable_id": "jean--hans--arp--untitled--collage-with-squares-arranged-according-to-the-laws-of-chance---1916-17"}, {"translated_youtube_id": "9E1cA3j_xY8", "relative_url": "/video/hannah-h-ch--cut-with-the-kitchen-knife--1919-20", "has_questions": false, "keywords": "Hannah Höch, Dada, Photomontage, Cut with the Kitchen Knife, German art", "ka_url": "http://www.khanacademy.org/video/hannah-h-ch--cut-with-the-kitchen-knife--1919-20", "duration": 721, "translated_title": "Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany", "translated_description_html": "Hannah Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920", "id": "669368692", "description_html": "Hannah Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920", "title": "Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany", "progress_key": "v669368692", "edit_slug": "edit/v/669368692", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Hannah Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/hoch-kitchen-knife"}, "node_slug": "v/hannah-h-ch--cut-with-the-kitchen-knife--1919-20", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9E1cA3j_xY8.mp4/9E1cA3j_xY8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9E1cA3j_xY8.mp4/9E1cA3j_xY8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9E1cA3j_xY8.m3u8/9E1cA3j_xY8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9E1cA3j_xY8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368692", "sha": "dba2636d28f8d83d913d6ea094aaea849704b37f", "translated_description": "Hannah Höch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920", "image_url": "https://img.youtube.com/vi/9E1cA3j_xY8/hqdefault.jpg", "youtube_id": "9E1cA3j_xY8", "content_kind": "Video", "readable_id": "hannah-h-ch--cut-with-the-kitchen-knife--1919-20"}, {"translated_youtube_id": "1d8gAw4hp4E", "relative_url": "/video/kurt-schwitters--merzbild-32a--the-cherry-picture--1921", "has_questions": false, "keywords": "schwitters, dada, art history, smarthistory", "ka_url": "http://www.khanacademy.org/video/kurt-schwitters--merzbild-32a--the-cherry-picture--1921", "duration": 383, "translated_title": "Schwitters, Merzbild 32A, The Cherry Picture", "translated_description_html": "Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris", "id": "671593312", "description_html": "Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris", "title": "Schwitters, Merzbild 32A, The Cherry Picture", "progress_key": "v671593312", "edit_slug": "edit/v/671593312", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/schwitterss-merz-picture-32a-the-cherry-picture"}, "node_slug": "v/kurt-schwitters--merzbild-32a--the-cherry-picture--1921", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1d8gAw4hp4E.mp4/1d8gAw4hp4E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1d8gAw4hp4E.mp4/1d8gAw4hp4E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1d8gAw4hp4E.m3u8/1d8gAw4hp4E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1d8gAw4hp4E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593312", "sha": "3a275bd39a32ec3a3a361a7ba92b91c9b2ab4550", "translated_description": "Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/1d8gAw4hp4E/hqdefault.jpg", "youtube_id": "1d8gAw4hp4E", "content_kind": "Video", "readable_id": "kurt-schwitters--merzbild-32a--the-cherry-picture--1921"}, {"translated_youtube_id": "M7yd8F3eay4", "relative_url": "/video/paul-klee--twittering-machine--1922", "has_questions": false, "keywords": "Paul Klee, Twittering Machine, Dada, Swiss art, Smarthistory, art history, modern art, 20th century art", "ka_url": "http://www.khanacademy.org/video/paul-klee--twittering-machine--1922", "duration": 251, "translated_title": "Klee, Twittering Machine", "translated_description_html": "Paul Klee, Twittering Machine (Die Zwitscher-Maschine), 1922, 25 1/4 x 19\" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker", "id": "669368695", "description_html": "Paul Klee, Twittering Machine (Die Zwitscher-Maschine), 1922, 25 1/4 x 19\" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker", "title": "Klee, Twittering Machine", "progress_key": "v669368695", "edit_slug": "edit/v/669368695", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Paul Klee, Twittering Machine (Die Zwitscher-Maschine), 1922, 25 1/4 x 19\" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/twittering-machine"}, "node_slug": "v/paul-klee--twittering-machine--1922", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M7yd8F3eay4.mp4/M7yd8F3eay4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M7yd8F3eay4.mp4/M7yd8F3eay4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M7yd8F3eay4.m3u8/M7yd8F3eay4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M7yd8F3eay4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368695", "sha": "27b859ba75a100804f3b1cc961862ae65faf05e5", "translated_description": "Paul Klee, Twittering Machine (Die Zwitscher-Maschine), 1922, 25 1/4 x 19\" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/M7yd8F3eay4/hqdefault.jpg", "youtube_id": "M7yd8F3eay4", "content_kind": "Video", "readable_id": "paul-klee--twittering-machine--1922"}, {"translated_youtube_id": "3zU90x0OZ0Y", "relative_url": "/video/giacometti--palace-at-4am--1932", "has_questions": false, "keywords": "Giacometti, Palace at 4am, Smarthistory, Art History, Surrealism, MoMA", "ka_url": "http://www.khanacademy.org/video/giacometti--palace-at-4am--1932", "duration": 141, "translated_title": "Giacometti, The Palace at 4am", "translated_description_html": "Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html", "id": "669368691", "description_html": "Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html", "title": "Giacometti, The Palace at 4am", "progress_key": "v669368691", "edit_slug": "edit/v/669368691", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/surrealism-giacometti"}, "node_slug": "v/giacometti--palace-at-4am--1932", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3zU90x0OZ0Y.mp4/3zU90x0OZ0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3zU90x0OZ0Y.mp4/3zU90x0OZ0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3zU90x0OZ0Y.m3u8/3zU90x0OZ0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3zU90x0OZ0Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368691", "sha": "876252a24373cf5c46fee1c50f53296be8cf3e87", "translated_description": "Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html", "image_url": "https://img.youtube.com/vi/3zU90x0OZ0Y/hqdefault.jpg", "youtube_id": "3zU90x0OZ0Y", "content_kind": "Video", "readable_id": "giacometti--palace-at-4am--1932"}, {"translated_youtube_id": "6pSOOgJz44o", "relative_url": "/video/giacometti--city-square--1948", "has_questions": false, "keywords": "MoMA, Surrealism, Giacometti, Sculpture, City Square, Smarthistory", "ka_url": "http://www.khanacademy.org/video/giacometti--city-square--1948", "duration": 374, "translated_title": "Giacometti, City Square", "translated_description_html": "Alberto Giacometti, City Square, 1948 (Museum of Modern Art)", "id": "671634399", "description_html": "Alberto Giacometti, City Square, 1948 (Museum of Modern Art)", "title": "Giacometti, City Square", "progress_key": "v671634399", "edit_slug": "edit/v/671634399", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Alberto Giacometti, City Square, 1948 (Museum of Modern Art)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/giacometti"}, "node_slug": "v/giacometti--city-square--1948", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6pSOOgJz44o.mp4/6pSOOgJz44o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6pSOOgJz44o.mp4/6pSOOgJz44o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6pSOOgJz44o.m3u8/6pSOOgJz44o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6pSOOgJz44o&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634399", "sha": "cbe7228ed7ef8f3d226f422bb10171b8f22666fe", "translated_description": "Alberto Giacometti, City Square, 1948 (Museum of Modern Art)", "image_url": "https://img.youtube.com/vi/6pSOOgJz44o/hqdefault.jpg", "youtube_id": "6pSOOgJz44o", "content_kind": "Video", "readable_id": "giacometti--city-square--1948"}, {"translated_youtube_id": "w702yvnip_w", "relative_url": "/video/magritte--the-treachery-of-images--ceci-n-est-pas-une-pipe---1929", "has_questions": false, "keywords": "Magritte, Pipe, surrealism, LACMA, Smarthistory, Art History, Khan Academy", "ka_url": "http://www.khanacademy.org/video/magritte--the-treachery-of-images--ceci-n-est-pas-une-pipe---1929", "duration": 221, "translated_title": "Magritte, The Treachery of Images (Ceci n’est pas une pipe)", "translated_description_html": "René Magritte, The Treachery of Images (Ceci n'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671718109", "description_html": "René Magritte, The Treachery of Images (Ceci n'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Magritte, The Treachery of Images (Ceci n’est pas une pipe)", "progress_key": "v671718109", "edit_slug": "edit/v/671718109", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "René Magritte, The Treachery of Images (Ceci n'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/magritte-treachery"}, "node_slug": "v/magritte--the-treachery-of-images--ceci-n-est-pas-une-pipe---1929", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w702yvnip_w.mp4/w702yvnip_w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w702yvnip_w.mp4/w702yvnip_w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w702yvnip_w.m3u8/w702yvnip_w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w702yvnip_w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718109", "sha": "6e97488a8befb0f15c2fdd8e46b337b99daa5b62", "translated_description": "René Magritte, The Treachery of Images (Ceci n'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/w702yvnip_w/hqdefault.jpg", "youtube_id": "w702yvnip_w", "content_kind": "Video", "readable_id": "magritte--the-treachery-of-images--ceci-n-est-pas-une-pipe---1929"}, {"translated_youtube_id": "6mp-fBJNQmU", "relative_url": "/video/salvador-dal---the-persistence-of-memory--1931", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/salvador-dal---the-persistence-of-memory--1931", "duration": 388, "translated_title": "Dali, The Persistence of Memory", "translated_description_html": "Salvador Dalí, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "id": "1226959825", "description_html": "Salvador Dalí, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "title": "Dali, The Persistence of Memory", "progress_key": "v1226959825", "edit_slug": "edit/v/1226959825", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salvador Dalí, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/dalis-the-persistence-of-memory"}, "node_slug": "v/salvador-dal---the-persistence-of-memory--1931", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-12-14T11:00:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6mp-fBJNQmU.mp4/6mp-fBJNQmU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6mp-fBJNQmU.mp4/6mp-fBJNQmU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6mp-fBJNQmU.m3u8/6mp-fBJNQmU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6mp-fBJNQmU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1226959825", "sha": "7a9b9be5293f39ce680368ecc45115b00ae4653d", "translated_description": "Salvador Dalí, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "image_url": "https://img.youtube.com/vi/6mp-fBJNQmU/hqdefault.jpg", "youtube_id": "6mp-fBJNQmU", "content_kind": "Video", "readable_id": "salvador-dal---the-persistence-of-memory--1931"}, {"translated_youtube_id": "HUZDPWLTZ0g", "relative_url": "/video/dal---metamorphosis-of-narcissus--1937", "has_questions": false, "keywords": "Salvador Dalí, Smarthistory, Art History, Surrealism", "ka_url": "http://www.khanacademy.org/video/dal---metamorphosis-of-narcissus--1937", "duration": 248, "translated_title": "Dali, Metamorphosis of Narcissus", "translated_description_html": "Salvador Dalí, Metamorphosis of Narcissus, 1937, oil on canvas, 51.1 x 78.1 cm \n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "669368694", "description_html": "Salvador Dalí, Metamorphosis of Narcissus, 1937, oil on canvas, 51.1 x 78.1 cm \n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Dali, Metamorphosis of Narcissus", "progress_key": "v669368694", "edit_slug": "edit/v/669368694", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Salvador Dalí, Metamorphosis of Narcissus, 1937, oil on canvas, 51.1 x 78.1 cm \n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/dali-metamorphosis-of-narcissus"}, "node_slug": "v/dal---metamorphosis-of-narcissus--1937", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-03-20T19:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HUZDPWLTZ0g.mp4/HUZDPWLTZ0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HUZDPWLTZ0g.mp4/HUZDPWLTZ0g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HUZDPWLTZ0g.m3u8/HUZDPWLTZ0g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HUZDPWLTZ0g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368694", "sha": "5b870c7d38e37e0f674eae1a4d1ca037784d8334", "translated_description": "Salvador Dalí, Metamorphosis of Narcissus, 1937, oil on canvas, 51.1 x 78.1 cm \n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/HUZDPWLTZ0g/hqdefault.jpg", "youtube_id": "HUZDPWLTZ0g", "content_kind": "Video", "readable_id": "dal---metamorphosis-of-narcissus--1937"}], "twitter_url": "", "translated_description": "Do we know who we really are? What parts of our mind do we know and what parts are hidden from us? Should art only focus on the rational, the conscious, or should we also pay attention to the irrational, the uncanny, the powerful impulses that remain unarticulated and just beyond the reach of our awareness. Dada was born during WWI when poets, artists, and actors, sickened by the violence around them, chose to celebrate the irrational. They created an anti-art that challenged the cultural assumptions that they felt supported the ruling elite that had, in turn, caused the war. In the years after the war, Dada gave way to Surrealism which reinstituted traditional forms of art-making but focused on Freud’s theories of the unconscious.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Do we know who we really are? What parts of our mind do we know and what parts are hidden from us? Should art only focus on the rational, the conscious, or should we also pay attention to the irrational, the uncanny, the powerful impulses that remain unarticulated and just beyond the reach of our awareness. Dada was born during WWI when poets, artists, and actors, sickened by the violence around them, chose to celebrate the irrational. They created an anti-art that challenged the cultural assumptions that they felt supported the ruling elite that had, in turn, caused the war. In the years after the war, Dada gave way to Surrealism which reinstituted traditional forms of art-making but focused on Freud’s theories of the unconscious.", "x_pos": 0.0, "node_slug": "dada", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfedd1d11", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/dada", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/dada", "slug": "dada", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e6e424e48d0e7bea587a87bd40d095cd41b0f896", "standalone_title": "Art history: Dada", "y_pos": 0.0, "current_revision_key": "e6e424e48d0e7bea587a87bd40d095cd41b0f896", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/neue-sachlichkeit", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/neue-sachlichkeit", "translated_standalone_title": "Art History: Neue Sachlichkeit", "translated_title": "German art between the wars", "gplus_url": "", "id": "x5ec8d2a8", "old_key_name": "n88wipXhRCEIxC7q-5cbXzOkiymZjvRHcQ_NilSF", "hide": false, "title": "German art between the wars", "child_data": [{"kind": "Video", "id": 671634402}, {"kind": "Video", "id": 671718111}, {"kind": "Video", "id": 1283943191}, {"kind": "Video", "id": 669368693}, {"kind": "Video", "id": 669368690}, {"kind": "Video", "id": 671738050}, {"kind": "Video", "id": 671593316}, {"kind": "Video", "id": 1159755291}, {"kind": "Exercise", "id": "xa090a76b"}], "children": [{"translated_youtube_id": "hip59oIFSMQ", "relative_url": "/video/feininger--cathedral-for-program-of-the-state-bauhaus-in-weimar--woodcut--1919", "has_questions": false, "keywords": "Feininger, Cathedral, Smarthistory, Art History, Weimar", "ka_url": "http://www.khanacademy.org/video/feininger--cathedral-for-program-of-the-state-bauhaus-in-weimar--woodcut--1919", "duration": 371, "translated_title": "Feininger, Cathedral for the Bauhaus", "translated_description_html": "Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html", "id": "671634402", "description_html": "Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html", "title": "Feininger, Cathedral for the Bauhaus", "progress_key": "v671634402", "edit_slug": "edit/v/671634402", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/feiningers-cathedral"}, "node_slug": "v/feininger--cathedral-for-program-of-the-state-bauhaus-in-weimar--woodcut--1919", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hip59oIFSMQ.mp4/hip59oIFSMQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hip59oIFSMQ.mp4/hip59oIFSMQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hip59oIFSMQ.m3u8/hip59oIFSMQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hip59oIFSMQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634402", "sha": "62e7c2a8c6e57ce5f42498f5cbbde53337aabb67", "translated_description": "Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html", "image_url": "https://img.youtube.com/vi/hip59oIFSMQ/hqdefault.jpg", "youtube_id": "hip59oIFSMQ", "content_kind": "Video", "readable_id": "feininger--cathedral-for-program-of-the-state-bauhaus-in-weimar--woodcut--1919"}, {"translated_youtube_id": "YeBe-yDGVnU", "relative_url": "/video/moholy-nagy--composition-a-xx--1924", "has_questions": false, "keywords": "Suprematism, Moholy-Nagy, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/moholy-nagy--composition-a-xx--1924", "duration": 255, "translated_title": "Moholy-Nagy, Composition A.XX", "translated_description_html": "László Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Musée national d'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671718111", "description_html": "László Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Musée national d'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Moholy-Nagy, Composition A.XX", "progress_key": "v671718111", "edit_slug": "edit/v/671718111", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "László Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Musée national d'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/moholy-nagys-composition-a.xx"}, "node_slug": "v/moholy-nagy--composition-a-xx--1924", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YeBe-yDGVnU.mp4/YeBe-yDGVnU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YeBe-yDGVnU.mp4/YeBe-yDGVnU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YeBe-yDGVnU.m3u8/YeBe-yDGVnU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YeBe-yDGVnU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718111", "sha": "5c1357e6a6f2fdcb3dc71705d7e43d743c528a33", "translated_description": "László Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Musée national d'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/YeBe-yDGVnU/hqdefault.jpg", "youtube_id": "YeBe-yDGVnU", "content_kind": "Video", "readable_id": "moholy-nagy--composition-a-xx--1924"}, {"translated_youtube_id": "QlQjCQ5SXco", "relative_url": "/video/moholy-nagy--climbing-the-mast--1928", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moholy-nagy--climbing-the-mast--1928", "duration": 236, "translated_title": "Moholy-Nagy, Climbing the Mast", "translated_description_html": "László Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html", "id": "1283943191", "description_html": "László Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html", "title": "Moholy-Nagy, Climbing the Mast", "progress_key": "v1283943191", "edit_slug": "edit/v/1283943191", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "László Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html", "extra_properties": null, "node_slug": "v/moholy-nagy--climbing-the-mast--1928", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-11T06:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QlQjCQ5SXco.mp4/QlQjCQ5SXco.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QlQjCQ5SXco.mp4/QlQjCQ5SXco.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QlQjCQ5SXco.m3u8/QlQjCQ5SXco.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QlQjCQ5SXco&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1283943191", "sha": "5bc017a0aa449e26fa4777079f7d7cdc45116c46", "translated_description": "László Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html", "image_url": "https://img.youtube.com/vi/QlQjCQ5SXco/hqdefault.jpg", "youtube_id": "QlQjCQ5SXco", "content_kind": "Video", "readable_id": "moholy-nagy--climbing-the-mast--1928"}, {"translated_youtube_id": "qZ1ofSJBxBU", "relative_url": "/video/august-sander--portraits", "has_questions": false, "keywords": "Photography, Smarthistory, Art History, August Sander", "ka_url": "http://www.khanacademy.org/video/august-sander--portraits", "duration": 850, "translated_title": "Sander, Portraits", "translated_description_html": "Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker", "id": "669368693", "description_html": "Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker", "title": "Sander, Portraits", "progress_key": "v669368693", "edit_slug": "edit/v/669368693", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/august-sander-portraits"}, "node_slug": "v/august-sander--portraits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qZ1ofSJBxBU.mp4/qZ1ofSJBxBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qZ1ofSJBxBU.mp4/qZ1ofSJBxBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qZ1ofSJBxBU.m3u8/qZ1ofSJBxBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qZ1ofSJBxBU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368693", "sha": "72b038dc291745002336260818dc41a3c086b24b", "translated_description": "Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/qZ1ofSJBxBU/hqdefault.jpg", "youtube_id": "qZ1ofSJBxBU", "content_kind": "Video", "readable_id": "august-sander--portraits"}, {"translated_youtube_id": "ukjw0Doy65Q", "relative_url": "/video/umbo--otto-umbehr---the-roving-reporter--1926", "has_questions": false, "keywords": "Umbo, Art History, Smarthistory, photomontage", "ka_url": "http://www.khanacademy.org/video/umbo--otto-umbehr---the-roving-reporter--1926", "duration": 483, "translated_title": "Umbo, The Roving Reporter", "translated_description_html": "Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "id": "669368690", "description_html": "Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "title": "Umbo, The Roving Reporter", "progress_key": "v669368690", "edit_slug": "edit/v/669368690", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/umbo-roving-reporter"}, "node_slug": "v/umbo--otto-umbehr---the-roving-reporter--1926", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-03-20T19:13:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ukjw0Doy65Q.mp4/ukjw0Doy65Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ukjw0Doy65Q.mp4/ukjw0Doy65Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ukjw0Doy65Q.m3u8/ukjw0Doy65Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ukjw0Doy65Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368690", "sha": "94b87c637e0828dc8ad1a2129331d18c85533525", "translated_description": "Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/ukjw0Doy65Q/hqdefault.jpg", "youtube_id": "ukjw0Doy65Q", "content_kind": "Video", "readable_id": "umbo--otto-umbehr---the-roving-reporter--1926"}, {"translated_youtube_id": "sHkZWu9tgpw", "relative_url": "/video/dix--portrait-of-sylvia-von-harden--1926", "has_questions": false, "keywords": "Otto Dix, German art, Art History Neue Sachlichkeit, New Objectivity, Portraiture, Weimar Era, modern art, Smarthistory", "ka_url": "http://www.khanacademy.org/video/dix--portrait-of-sylvia-von-harden--1926", "duration": 478, "translated_title": "Dix, Portrait of the Journalist Sylvia von Harden", "translated_description_html": "Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Musée National d'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org", "id": "671738050", "description_html": "Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Musée National d'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org", "title": "Dix, Portrait of the Journalist Sylvia von Harden", "progress_key": "v671738050", "edit_slug": "edit/v/671738050", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Musée National d'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/Neue-Sachlichkeit"}, "node_slug": "v/dix--portrait-of-sylvia-von-harden--1926", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sHkZWu9tgpw.mp4/sHkZWu9tgpw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sHkZWu9tgpw.mp4/sHkZWu9tgpw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sHkZWu9tgpw.m3u8/sHkZWu9tgpw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sHkZWu9tgpw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738050", "sha": "e077c6ec623d200b560dfab433f89d1e0d849da8", "translated_description": "Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Musée National d'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org", "image_url": "https://img.youtube.com/vi/sHkZWu9tgpw/hqdefault.jpg", "youtube_id": "sHkZWu9tgpw", "content_kind": "Video", "readable_id": "dix--portrait-of-sylvia-von-harden--1926"}, {"translated_youtube_id": "jEVfDSfO9Gw", "relative_url": "/video/christian-schad--self-portrait--1927", "has_questions": false, "keywords": "Schad, Tate Modern, Neue Sachlickeit, New Realism, Art history, smarthistory, modern art", "ka_url": "http://www.khanacademy.org/video/christian-schad--self-portrait--1927", "duration": 210, "translated_title": "Schad, Self-Portrait", "translated_description_html": "Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671593316", "description_html": "Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Schad, Self-Portrait", "progress_key": "v671593316", "edit_slug": "edit/v/671593316", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/self-portrait"}, "node_slug": "v/christian-schad--self-portrait--1927", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jEVfDSfO9Gw.mp4/jEVfDSfO9Gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jEVfDSfO9Gw.mp4/jEVfDSfO9Gw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jEVfDSfO9Gw.m3u8/jEVfDSfO9Gw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jEVfDSfO9Gw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593316", "sha": "91158df93395c764c9bb908b7e88f365b1ed3aec", "translated_description": "Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/jEVfDSfO9Gw/hqdefault.jpg", "youtube_id": "jEVfDSfO9Gw", "content_kind": "Video", "readable_id": "christian-schad--self-portrait--1927"}, {"translated_youtube_id": "hpY22uSAPAA", "relative_url": "/video/paul-troost--house-of--german--art--1933-37", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paul-troost--house-of--german--art--1933-37", "duration": 442, "translated_title": "Troost, House of German Art and the Entartete Kunst exhibition", "translated_description_html": "Paul Troost's the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.", "id": "1159755291", "description_html": "Paul Troost's the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.", "title": "Troost, House of German Art and the Entartete Kunst exhibition", "progress_key": "v1159755291", "edit_slug": "edit/v/1159755291", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Paul Troost's the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/national-socialist-nazi-art"}, "node_slug": "v/paul-troost--house-of--german--art--1933-37", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-19T19:31:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hpY22uSAPAA.mp4/hpY22uSAPAA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hpY22uSAPAA.mp4/hpY22uSAPAA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hpY22uSAPAA.m3u8/hpY22uSAPAA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hpY22uSAPAA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159755291", "sha": "b8e7a8d2ca9882bf1d5f97002a04b90f855f59b8", "translated_description": "Paul Troost's the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.", "image_url": "https://img.youtube.com/vi/hpY22uSAPAA/hqdefault.jpg", "youtube_id": "hpY22uSAPAA", "content_kind": "Video", "readable_id": "paul-troost--house-of--german--art--1933-37"}], "twitter_url": "", "translated_description": "Germany was defeated and exhausted in 1918 at the end of WWI. The equally exhausted victors imposed harsh terms on Germany. It was forced to forfeit its overseas colonial possessions, to cede land to its neighbors, and to pay reparations. As demobilized troops returned, German cities filled with unemployed, often maimed veterans. The Socialists briefly seized power and by the early 1920s hyperinflation further destabilized the nation. Neue Sachlichkeit or the New Objectivity cast a cold sharp eye on Modern Germany’s hypocrisy, aggression, and destitution even as extremists on the political right consolidated power. The National Socialists or Nazi Party won the chancellorship in 1933 and quickly used art and architecture as a means build the myth of a pure German people shaped by the land and unsullied by modern industrial culture. This tutorial looks at the ways that competing political ideologies each used art for its own purposes.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Germany was defeated and exhausted in 1918 at the end of WWI. The equally exhausted victors imposed harsh terms on Germany. It was forced to forfeit its overseas colonial possessions, to cede land to its neighbors, and to pay reparations. As demobilized troops returned, German cities filled with unemployed, often maimed veterans. The Socialists briefly seized power and by the early 1920s hyperinflation further destabilized the nation. Neue Sachlichkeit or the New Objectivity cast a cold sharp eye on Modern Germany’s hypocrisy, aggression, and destitution even as extremists on the political right consolidated power. The National Socialists or Nazi Party won the chancellorship in 1933 and quickly used art and architecture as a means build the myth of a pure German people shaped by the land and unsullied by modern industrial culture. This tutorial looks at the ways that competing political ideologies each used art for its own purposes.", "x_pos": 0.0, "node_slug": "neue-sachlichkeit", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5ec8d2a8", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/neue-sachlichkeit", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/neue-sachlichkeit", "slug": "neue-sachlichkeit", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d7965f0ea4581e2b8cdcdcdff2ac96f615e9841b", "standalone_title": "Art History: Neue Sachlichkeit", "y_pos": 0.0, "current_revision_key": "d7965f0ea4581e2b8cdcdcdff2ac96f615e9841b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/architecture", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/architecture", "translated_standalone_title": "Art History: Architecture", "translated_title": "International style architecture", "gplus_url": "", "id": "xf380cbcd", "old_key_name": "QTV6ZrEBPO7y1km4tmlzvMSpvM8xK_MB-h08Cc7S", "hide": false, "title": "International style architecture", "child_data": [{"kind": "Video", "id": 671738053}, {"kind": "Video", "id": 671738049}, {"kind": "Video", "id": 671656233}, {"kind": "Exercise", "id": "x3feb6523"}], "children": [{"translated_youtube_id": "ZyyuflY5k2k", "relative_url": "/video/mies-van-der-rohe--seagram-building--new-york-city--1958", "has_questions": false, "keywords": "Art, History, Mies van der Rohe, Architecture, NYC, Seagram", "ka_url": "http://www.khanacademy.org/video/mies-van-der-rohe--seagram-building--new-york-city--1958", "duration": 549, "translated_title": "Mies van der Rohe, Seagram Building", "translated_description_html": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)", "id": "671738053", "description_html": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)", "title": "Mies van der Rohe, Seagram Building", "progress_key": "v671738053", "edit_slug": "edit/v/671738053", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/mies-van-der-rohes-seagram-building"}, "node_slug": "v/mies-van-der-rohe--seagram-building--new-york-city--1958", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.mp4/ZyyuflY5k2k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.mp4/ZyyuflY5k2k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.m3u8/ZyyuflY5k2k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ZyyuflY5k2k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738053", "sha": "a607bbeae1b304b58e21cc1c386306fd24b4e008", "translated_description": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)", "image_url": "https://img.youtube.com/vi/ZyyuflY5k2k/hqdefault.jpg", "youtube_id": "ZyyuflY5k2k", "content_kind": "Video", "readable_id": "mies-van-der-rohe--seagram-building--new-york-city--1958"}, {"translated_youtube_id": "g3LBmyq-J9s", "relative_url": "/video/gordon-bunshaft-for-skidmore-owings-and-merrill--lever-house--1951-52", "has_questions": false, "keywords": "Gordon Bunshaft, Bunshaft, Skidmore Owings and Merrill, SOM, Lever House, Lever Brothers, 1951, 1952, 390 Park Avenue, Architecture, Modern, International Style, Postwar, Glass and Steel, Matthew Postal", "ka_url": "http://www.khanacademy.org/video/gordon-bunshaft-for-skidmore-owings-and-merrill--lever-house--1951-52", "duration": 237, "translated_title": "Gordon Bunshaft, Lever House", "translated_description_html": "Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker", "id": "671738049", "description_html": "Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker", "title": "Gordon Bunshaft, Lever House", "progress_key": "v671738049", "edit_slug": "edit/v/671738049", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/bunshafts-lever-house1"}, "node_slug": "v/gordon-bunshaft-for-skidmore-owings-and-merrill--lever-house--1951-52", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3LBmyq-J9s.mp4/g3LBmyq-J9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3LBmyq-J9s.mp4/g3LBmyq-J9s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g3LBmyq-J9s.m3u8/g3LBmyq-J9s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g3LBmyq-J9s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738049", "sha": "ee9233a072b679dc090dc216abb77c30bd3072db", "translated_description": "Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/g3LBmyq-J9s/hqdefault.jpg", "youtube_id": "g3LBmyq-J9s", "content_kind": "Video", "readable_id": "gordon-bunshaft-for-skidmore-owings-and-merrill--lever-house--1951-52"}, {"translated_youtube_id": "JVm-ePTIKR4", "relative_url": "/video/frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959", "has_questions": false, "keywords": "Frank Lloyd Wright, FLW, Wright, architecture, Solomon R. Guggenheim Museum, Guggenheim, New York, 1942, 1959", "ka_url": "http://www.khanacademy.org/video/frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959", "duration": 433, "translated_title": "Frank Lloyd Wright, Solomon R. Guggenheim Museum", "translated_description_html": "Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker", "id": "671656233", "description_html": "Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker", "title": "Frank Lloyd Wright, Solomon R. Guggenheim Museum", "progress_key": "v671656233", "edit_slug": "edit/v/671656233", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/wrights-solomon-r.-guggenheim-museum"}, "node_slug": "v/frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVm-ePTIKR4.mp4/JVm-ePTIKR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVm-ePTIKR4.mp4/JVm-ePTIKR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JVm-ePTIKR4.m3u8/JVm-ePTIKR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JVm-ePTIKR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656233", "sha": "5c2795ea2eac407db87dab32a4f1554fbf08bb29", "translated_description": "Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/JVm-ePTIKR4/hqdefault.jpg", "youtube_id": "JVm-ePTIKR4", "content_kind": "Video", "readable_id": "frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959"}], "twitter_url": "", "translated_description": "Towers of glass and steel from the mid-20th Century suggest, for many people, the rationalization of urban space that dehumanized our cities with empty plazas, rigorous geometries and uniformity. But International style architecture was born of the utopian idea that innovative design could improve the lives millions and its forms recall the clarity and harmony of ancient Greek architecture. This tutorial treats the late work of Ludwig Mies van der Rohe, Gordon Bunshaft, and Frank Lloyd Wright.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Towers of glass and steel from the mid-20th Century suggest, for many people, the rationalization of urban space that dehumanized our cities with empty plazas, rigorous geometries and uniformity. But International style architecture was born of the utopian idea that innovative design could improve the lives millions and its forms recall the clarity and harmony of ancient Greek architecture. This tutorial treats the late work of Ludwig Mies van der Rohe, Gordon Bunshaft, and Frank Lloyd Wright.", "x_pos": 0.0, "node_slug": "architecture", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf380cbcd", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/architecture", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/architecture", "slug": "architecture", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3122d2c2e9db6e70f5ae00c875e8fbba0ff17d1c", "standalone_title": "Art History: Architecture", "y_pos": 0.0, "current_revision_key": "3122d2c2e9db6e70f5ae00c875e8fbba0ff17d1c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/American Modernism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1907-1960-age-of-global-conflict/American Modernism", "translated_standalone_title": "American-Modernism", "translated_title": "American Modernism", "gplus_url": "", "id": "x8ffc278a", "old_key_name": "nIoPixYYO0_QiKPvHJao57GMAyNTcx2uW_1VAsD5", "hide": false, "title": "American Modernism", "child_data": [{"kind": "Video", "id": 671738047}, {"kind": "Video", "id": 719611780}, {"kind": "Video", "id": 670111818}, {"kind": "Video", "id": 719611781}, {"kind": "Video", "id": 669368697}, {"kind": "Article", "id": 1361660119}, {"kind": "Video", "id": "xcfef1a5b"}, {"kind": "Video", "id": 1023446691}, {"kind": "Video", "id": 1023636462}, {"kind": "Video", "id": "x62dcc98f"}, {"kind": "Video", "id": "x56b411c6"}, {"kind": "Video", "id": 671718107}, {"kind": "Video", "id": 1023434959}, {"kind": "Video", "id": "x5e5044f6"}, {"kind": "Video", "id": 671634398}, {"kind": "Video", "id": 1023621312}, {"kind": "Video", "id": 671718108}, {"kind": "Video", "id": "xaab5948f"}, {"kind": "Video", "id": "x840f7734"}, {"kind": "Video", "id": 1023636463}, {"kind": "Video", "id": "x2afbf1d7"}, {"kind": "Video", "id": "x9d581911"}, {"kind": "Video", "id": 1385500124}, {"kind": "Video", "id": 1390714408}, {"kind": "Exercise", "id": "x8863ecaa"}], "children": [{"translated_youtube_id": "CIH3VBBL69k", "relative_url": "/video/bellows--pennsylvania-station--c--1907-8", "has_questions": false, "keywords": "bellows, brooklyn museum, art, art history, aschan, ashcan school", "ka_url": "http://www.khanacademy.org/video/bellows--pennsylvania-station--c--1907-8", "duration": 216, "translated_title": "Bellows, Pennsylvania Station Excavation, c. 1907-8", "translated_description_html": "George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "671738047", "description_html": "George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Bellows, Pennsylvania Station Excavation, c. 1907-8", "progress_key": "v671738047", "edit_slug": "edit/v/671738047", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/Ashcan-School"}, "node_slug": "v/bellows--pennsylvania-station--c--1907-8", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CIH3VBBL69k.mp4/CIH3VBBL69k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CIH3VBBL69k.mp4/CIH3VBBL69k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CIH3VBBL69k.m3u8/CIH3VBBL69k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CIH3VBBL69k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738047", "sha": "0580781cc69908349ffb9ddbd035ca9e5407c215", "translated_description": "George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/CIH3VBBL69k/hqdefault.jpg", "youtube_id": "CIH3VBBL69k", "content_kind": "Video", "readable_id": "bellows--pennsylvania-station--c--1907-8"}, {"translated_youtube_id": "vk2GvyNmYD0", "relative_url": "/video/grant-wood--american-gothic--1930", "has_questions": false, "keywords": "Grant Wood, American Gothic, 1930, Art Institute of Chicago, art history, Smarthistory, Google Art Project, painting, art, OER, Regionalism, American Scene, American, Iowa", "ka_url": "http://www.khanacademy.org/video/grant-wood--american-gothic--1930", "duration": 380, "translated_title": "Wood, American Gothic, 1930", "translated_description_html": "Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "719611780", "description_html": "Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Wood, American Gothic, 1930", "progress_key": "v719611780", "edit_slug": "edit/v/719611780", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/american-regionalism-grant-woods-american-gothic"}, "node_slug": "v/grant-wood--american-gothic--1930", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-04-13T08:00:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.mp4/vk2GvyNmYD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.mp4/vk2GvyNmYD0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.m3u8/vk2GvyNmYD0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vk2GvyNmYD0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719611780", "sha": "52bb1cc9264a3e2500eed0cdc6d8f224957288b7", "translated_description": "Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/vk2GvyNmYD0/hqdefault.jpg", "youtube_id": "vk2GvyNmYD0", "content_kind": "Video", "readable_id": "grant-wood--american-gothic--1930"}, {"translated_youtube_id": "wQq2xOs2BYU", "relative_url": "/video/georgia-o-keeffe--the-lawrence-tree--1929", "has_questions": false, "keywords": "Georgia O'Keeffe, The Lawrence Tree, Wadsworth Atheneum, Hartford, 1929, D.H. Lawrence, Kiowa Ranch, O'Keeffe, New Mexico, tree", "ka_url": "http://www.khanacademy.org/video/georgia-o-keeffe--the-lawrence-tree--1929", "duration": 156, "translated_title": "O'Keeffe, The Lawrence Tree, 1929", "translated_description_html": "Georgia O'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O'Keeffe's first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "670111818", "description_html": "Georgia O'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O'Keeffe's first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "O'Keeffe, The Lawrence Tree, 1929", "progress_key": "v670111818", "edit_slug": "edit/v/670111818", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Georgia O'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O'Keeffe's first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/okeeffes-the-lawrence-tree"}, "node_slug": "v/georgia-o-keeffe--the-lawrence-tree--1929", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wQq2xOs2BYU.mp4/wQq2xOs2BYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wQq2xOs2BYU.mp4/wQq2xOs2BYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wQq2xOs2BYU.m3u8/wQq2xOs2BYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wQq2xOs2BYU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111818", "sha": "96bb599be62af5b7fea46bab0d89092be54aea27", "translated_description": "Georgia O'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O'Keeffe's first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/wQq2xOs2BYU/hqdefault.jpg", "youtube_id": "wQq2xOs2BYU", "content_kind": "Video", "readable_id": "georgia-o-keeffe--the-lawrence-tree--1929"}, {"translated_youtube_id": "j24uh8cZ3wA", "relative_url": "/video/edward-hopper--nighthawks--1942", "has_questions": false, "keywords": "Edward Hopper, Hopper, Nighthawks, 1942, smarthistory, art history, Google Art Project, OER", "ka_url": "http://www.khanacademy.org/video/edward-hopper--nighthawks--1942", "duration": 288, "translated_title": "Hopper, Nighthawks, 1942", "translated_description_html": "Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "719611781", "description_html": "Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Hopper, Nighthawks, 1942", "progress_key": "v719611781", "edit_slug": "edit/v/719611781", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/hoppers-nighthawks"}, "node_slug": "v/edward-hopper--nighthawks--1942", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-13T08:00:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j24uh8cZ3wA.mp4/j24uh8cZ3wA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j24uh8cZ3wA.mp4/j24uh8cZ3wA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j24uh8cZ3wA.m3u8/j24uh8cZ3wA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j24uh8cZ3wA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v719611781", "sha": "ab40dd66aa9fc4e297e322b1e301e3377f66f104", "translated_description": "Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/j24uh8cZ3wA/hqdefault.jpg", "youtube_id": "j24uh8cZ3wA", "content_kind": "Video", "readable_id": "edward-hopper--nighthawks--1942"}, {"translated_youtube_id": "n2HWkDrorRg", "relative_url": "/video/frida-kahlo--frieda-and-diego-rivera---1931", "has_questions": false, "keywords": "art, art history, smarthistory, mexican art, SFMOMA", "ka_url": "http://www.khanacademy.org/video/frida-kahlo--frieda-and-diego-rivera---1931", "duration": 229, "translated_title": "Frida Kahlo, Frieda and Diego Rivera, 1931", "translated_description_html": "Frida Kahlo, Frieda and Diego Rivera​, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist's first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo​, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.", "id": "669368697", "description_html": "Frida Kahlo, Frieda and Diego Rivera​, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist's first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo​, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.", "title": "Frida Kahlo, Frieda and Diego Rivera, 1931", "progress_key": "v669368697", "edit_slug": "edit/v/669368697", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Frida Kahlo, Frieda and Diego Rivera​, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist's first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo​, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/frida-kahlo-frieda-and-diego-rivera"}, "node_slug": "v/frida-kahlo--frieda-and-diego-rivera---1931", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-03-20T19:13:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/n2HWkDrorRg.mp4/n2HWkDrorRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n2HWkDrorRg.mp4/n2HWkDrorRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/n2HWkDrorRg.m3u8/n2HWkDrorRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=n2HWkDrorRg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368697", "sha": "96f4e55359a0e892321903b68ef5a7f9619da386", "translated_description": "Frida Kahlo, Frieda and Diego Rivera​, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist's first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo​, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.", "image_url": "https://img.youtube.com/vi/n2HWkDrorRg/hqdefault.jpg", "youtube_id": "n2HWkDrorRg", "content_kind": "Video", "readable_id": "frida-kahlo--frieda-and-diego-rivera---1931"}, {"translated_youtube_id": "oG45EoRh3Fo", "relative_url": "/video/moma-jackson-pollock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-jackson-pollock", "duration": 314, "translated_title": "Jackson Pollock", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or enroll in the online course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "id": "xcfef1a5b", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or enroll in the online course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "title": "Jackson Pollock", "progress_key": "vxcfef1a5b", "edit_slug": "edit/v/xcfef1a5b", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or enroll in the online course Modern and Contemporary Art: 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-jackson-pollock", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.mp4/oG45EoRh3Fo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.mp4/oG45EoRh3Fo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.m3u8/oG45EoRh3Fo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oG45EoRh3Fo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcfef1a5b", "sha": "cf7fe9ab0297965012243b5e5d08f0cfeb276445", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or enroll in the online course Modern and Contemporary Art: 1945-1989.", "image_url": "https://img.youtube.com/vi/oG45EoRh3Fo/hqdefault.jpg", "youtube_id": "oG45EoRh3Fo", "content_kind": "Video", "readable_id": "moma-jackson-pollock"}, {"translated_youtube_id": "2JleSka1klc", "relative_url": "/video/jackson-pollock--one--number-31--1950", "has_questions": false, "keywords": "Pollock, abstract expressionism, MoMA", "ka_url": "http://www.khanacademy.org/video/jackson-pollock--one--number-31--1950", "duration": 455, "translated_title": "Pollock's One: Number 31, 1950", "translated_description_html": "Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "id": "1023446691", "description_html": "Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "title": "Pollock's One: Number 31, 1950", "progress_key": "v1023446691", "edit_slug": "edit/v/1023446691", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/abstract-expressionism"}, "node_slug": "v/jackson-pollock--one--number-31--1950", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-06T00:57:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2JleSka1klc.mp4/2JleSka1klc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2JleSka1klc.mp4/2JleSka1klc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2JleSka1klc.m3u8/2JleSka1klc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2JleSka1klc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1023446691", "sha": "440ab81dd5a11c7fa0a1e4108aee8b7e8bac5a6c", "translated_description": "Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/2JleSka1klc/hqdefault.jpg", "youtube_id": "2JleSka1klc", "content_kind": "Video", "readable_id": "jackson-pollock--one--number-31--1950"}, {"translated_youtube_id": "EncR_T0faKM", "relative_url": "/video/moma-painting-technique-pollock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-pollock", "duration": 242, "translated_title": "The Painting Techniques of Jackson Pollock", "translated_description_html": "

Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023636462", "description_html": "

Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Jackson Pollock", "progress_key": "v1023636462", "edit_slug": "edit/v/1023636462", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-pollock", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.mp4/EncR_T0faKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.mp4/EncR_T0faKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.m3u8/EncR_T0faKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EncR_T0faKM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023636462", "sha": "a0cabfe8ad0230d2784234440eb5c31f7c62dc60", "translated_description": "Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/EncR_T0faKM/hqdefault.jpg", "youtube_id": "EncR_T0faKM", "content_kind": "Video", "readable_id": "moma-painting-technique-pollock"}, {"translated_youtube_id": "7beFNpp4FxY", "relative_url": "/video/moma-pollock-one-number-31-1950", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-pollock-one-number-31-1950", "duration": 168, "translated_title": "Conservation | Pollock, \"One: Number 31, 1950\"", "translated_description_html": "

You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting<\/a>.<\/span><\/p>", "id": "x62dcc98f", "description_html": "

You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting<\/a>.<\/span><\/p>", "title": "Conservation | Pollock, \"One: Number 31, 1950\"", "progress_key": "vx62dcc98f", "edit_slug": "edit/v/x62dcc98f", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting.", "extra_properties": {}, "node_slug": "v/moma-pollock-one-number-31-1950", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.mp4/7beFNpp4FxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.mp4/7beFNpp4FxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.m3u8/7beFNpp4FxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7beFNpp4FxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx62dcc98f", "sha": "4f08416509d6924062f301cb50ed629b9a1e18c7", "translated_description": "You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting.", "image_url": "https://img.youtube.com/vi/7beFNpp4FxY/hqdefault.jpg", "youtube_id": "7beFNpp4FxY", "content_kind": "Video", "readable_id": "moma-pollock-one-number-31-1950"}, {"translated_youtube_id": "JPoQeuWybIo", "relative_url": "/video/moma-mark-rothko", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-mark-rothko", "duration": 337, "translated_title": "Mark Rothko", "translated_description_html": "

Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x56b411c6", "description_html": "

Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Mark Rothko", "progress_key": "vx56b411c6", "edit_slug": "edit/v/x56b411c6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-mark-rothko", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.mp4/JPoQeuWybIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.mp4/JPoQeuWybIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.m3u8/JPoQeuWybIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JPoQeuWybIo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx56b411c6", "sha": "921da7c791351e2d372cfb3e85e2c803f80932ff", "translated_description": "Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/JPoQeuWybIo/hqdefault.jpg", "youtube_id": "JPoQeuWybIo", "content_kind": "Video", "readable_id": "moma-mark-rothko"}, {"translated_youtube_id": "FnkATpF4O2Q", "relative_url": "/video/mark-rothko--no--3-no--13--1949", "has_questions": false, "keywords": "Rothko, Mark Rothko, No. 3, No. 13, Abstract Expressionism, 20th century art, Smarthistory, MoMA, art history", "ka_url": "http://www.khanacademy.org/video/mark-rothko--no--3-no--13--1949", "duration": 312, "translated_title": "Mark Rothko's No. 3/No. 13, 1949", "translated_description_html": "Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671718107", "description_html": "Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Mark Rothko's No. 3/No. 13, 1949", "progress_key": "v671718107", "edit_slug": "edit/v/671718107", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/rothko"}, "node_slug": "v/mark-rothko--no--3-no--13--1949", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FnkATpF4O2Q.mp4/FnkATpF4O2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FnkATpF4O2Q.mp4/FnkATpF4O2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FnkATpF4O2Q.m3u8/FnkATpF4O2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FnkATpF4O2Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718107", "sha": "7c99b7682b1f323510bb7c52e272533814edc374", "translated_description": "Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/FnkATpF4O2Q/hqdefault.jpg", "youtube_id": "FnkATpF4O2Q", "content_kind": "Video", "readable_id": "mark-rothko--no--3-no--13--1949"}, {"translated_youtube_id": "vSiu8qzHV6c", "relative_url": "/video/moma-painting-technique-rothko", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-rothko", "duration": 213, "translated_title": "The Painting Techniques of Mark Rothko", "translated_description_html": "

Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023434959", "description_html": "

Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Mark Rothko", "progress_key": "v1023434959", "edit_slug": "edit/v/1023434959", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-rothko", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.mp4/vSiu8qzHV6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.mp4/vSiu8qzHV6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.m3u8/vSiu8qzHV6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vSiu8qzHV6c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023434959", "sha": "4f6262461447580d147bbbe29d010d529d55e1a1", "translated_description": "Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/vSiu8qzHV6c/hqdefault.jpg", "youtube_id": "vSiu8qzHV6c", "content_kind": "Video", "readable_id": "moma-painting-technique-rothko"}, {"translated_youtube_id": "wyT4IvTGSwk", "relative_url": "/video/moma-barnett-newman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-barnett-newman", "duration": 272, "translated_title": "Barnett Newman", "translated_description_html": "

Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x5e5044f6", "description_html": "

Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Barnett Newman", "progress_key": "vx5e5044f6", "edit_slug": "edit/v/x5e5044f6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-barnett-newman", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.mp4/wyT4IvTGSwk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.mp4/wyT4IvTGSwk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.m3u8/wyT4IvTGSwk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wyT4IvTGSwk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5e5044f6", "sha": "2011c69d7ed93fc70134bc4c28ff4d8ba4441223", "translated_description": "Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/wyT4IvTGSwk/hqdefault.jpg", "youtube_id": "wyT4IvTGSwk", "content_kind": "Video", "readable_id": "moma-barnett-newman"}, {"translated_youtube_id": "4qgOSBHptLM", "relative_url": "/video/barnett-newman--onement-i--1948", "has_questions": false, "keywords": "Newman, Onement I, Barnett Newman, Museum of Modern Art, MoMA, Smarthistory, abstract expressionism, art history", "ka_url": "http://www.khanacademy.org/video/barnett-newman--onement-i--1948", "duration": 293, "translated_title": "Newman's Onement I, 1948", "translated_description_html": "Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4\" (69.2 x 41.2 cm), The Museum of Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html", "id": "671634398", "description_html": "Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4\" (69.2 x 41.2 cm), The Museum of Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html", "title": "Newman's Onement I, 1948", "progress_key": "v671634398", "edit_slug": "edit/v/671634398", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4\" (69.2 x 41.2 cm), The Museum of Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/barnett-newman"}, "node_slug": "v/barnett-newman--onement-i--1948", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4qgOSBHptLM.mp4/4qgOSBHptLM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4qgOSBHptLM.mp4/4qgOSBHptLM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4qgOSBHptLM.m3u8/4qgOSBHptLM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4qgOSBHptLM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634398", "sha": "09e2056905ff45fce99da6c38b2fbf3d09eb8f0e", "translated_description": "Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4\" (69.2 x 41.2 cm), The Museum of Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html", "image_url": "https://img.youtube.com/vi/4qgOSBHptLM/hqdefault.jpg", "youtube_id": "4qgOSBHptLM", "content_kind": "Video", "readable_id": "barnett-newman--onement-i--1948"}, {"translated_youtube_id": "GacKM9yxiw4", "relative_url": "/video/moma-painting-technique-newman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-newman", "duration": 230, "translated_title": "The Painting Techniques of Barnett Newman", "translated_description_html": "

Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023621312", "description_html": "

Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Barnett Newman", "progress_key": "v1023621312", "edit_slug": "edit/v/1023621312", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-newman", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.mp4/GacKM9yxiw4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.mp4/GacKM9yxiw4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.m3u8/GacKM9yxiw4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GacKM9yxiw4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023621312", "sha": "4012a7827ba1ce22555d2d66148f514dbb206976", "translated_description": "Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/GacKM9yxiw4/hqdefault.jpg", "youtube_id": "GacKM9yxiw4", "content_kind": "Video", "readable_id": "moma-painting-technique-newman"}, {"translated_youtube_id": "WEYKoJTIHcE", "relative_url": "/video/willem-de-kooning--woman-i--1950-52", "has_questions": false, "keywords": "dekooning, woman", "ka_url": "http://www.khanacademy.org/video/willem-de-kooning--woman-i--1950-52", "duration": 220, "translated_title": "de Kooning's Woman I", "translated_description_html": "Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "671718108", "description_html": "Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "de Kooning's Woman I", "progress_key": "v671718108", "edit_slug": "edit/v/671718108", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/willem-de-kooning"}, "node_slug": "v/willem-de-kooning--woman-i--1950-52", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.mp4/WEYKoJTIHcE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.mp4/WEYKoJTIHcE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.m3u8/WEYKoJTIHcE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WEYKoJTIHcE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718108", "sha": "6692c4b081198f9dfb93bb8436cb6d38093afa88", "translated_description": "Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/WEYKoJTIHcE/hqdefault.jpg", "youtube_id": "WEYKoJTIHcE", "content_kind": "Video", "readable_id": "willem-de-kooning--woman-i--1950-52"}, {"translated_youtube_id": "C89z5GncK88", "relative_url": "/video/robert-motherwell--elegy-to-the-spanish-republic-no--57--1957-60", "has_questions": false, "keywords": "Motherwell, Elegy, Spanish Civil War, Abstract Expressionism, painting, art, modernism, abstraction", "ka_url": "http://www.khanacademy.org/video/robert-motherwell--elegy-to-the-spanish-republic-no--57--1957-60", "duration": 241, "translated_title": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60", "translated_description_html": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "xaab5948f", "description_html": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60", "progress_key": "vxaab5948f", "edit_slug": "edit/v/xaab5948f", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/robert-motherwells-elegy-to-the-spanish-republic-no.-57.html"}, "node_slug": "v/robert-motherwell--elegy-to-the-spanish-republic-no--57--1957-60", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-08T03:35:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C89z5GncK88.mp4/C89z5GncK88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C89z5GncK88.mp4/C89z5GncK88.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C89z5GncK88.m3u8/C89z5GncK88.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C89z5GncK88&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxaab5948f", "sha": "1d93914563abb98a40eb93d1cf404e3906efebc5", "translated_description": "Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/C89z5GncK88/hqdefault.jpg", "youtube_id": "C89z5GncK88", "content_kind": "Video", "readable_id": "robert-motherwell--elegy-to-the-spanish-republic-no--57--1957-60"}, {"translated_youtube_id": "xyTxrbsfLpg", "relative_url": "/video/moma-franz-kline", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-franz-kline", "duration": 191, "translated_title": "Franz Kline", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "id": "x840f7734", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "title": "Franz Kline", "progress_key": "vx840f7734", "edit_slug": "edit/v/x840f7734", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-franz-kline", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.mp4/xyTxrbsfLpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.mp4/xyTxrbsfLpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.m3u8/xyTxrbsfLpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xyTxrbsfLpg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx840f7734", "sha": "21569bef48f1d9d939919bf450494c24111f0ae5", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989.", "image_url": "https://img.youtube.com/vi/xyTxrbsfLpg/hqdefault.jpg", "youtube_id": "xyTxrbsfLpg", "content_kind": "Video", "readable_id": "moma-franz-kline"}, {"translated_youtube_id": "1xQTlp0hscs", "relative_url": "/video/moma-painting-technique-kline", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-kline", "duration": 235, "translated_title": "The Painting Techniques of Franz Kline", "translated_description_html": "

Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023636463", "description_html": "

Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Franz Kline", "progress_key": "v1023636463", "edit_slug": "edit/v/1023636463", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-kline", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.mp4/1xQTlp0hscs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.mp4/1xQTlp0hscs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.m3u8/1xQTlp0hscs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1xQTlp0hscs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023636463", "sha": "d87f04585527506a6fe8fa120d1d6b2cde303d4d", "translated_description": "Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/1xQTlp0hscs/hqdefault.jpg", "youtube_id": "1xQTlp0hscs", "content_kind": "Video", "readable_id": "moma-painting-technique-kline"}, {"translated_youtube_id": "p5nej7Gy7kQ", "relative_url": "/video/moma-ad-reinhardt", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-ad-reinhardt", "duration": 204, "translated_title": "Ad Reinhardt", "translated_description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x2afbf1d7", "description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Ad Reinhardt", "progress_key": "vx2afbf1d7", "edit_slug": "edit/v/x2afbf1d7", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-ad-reinhardt", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.mp4/p5nej7Gy7kQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.mp4/p5nej7Gy7kQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.m3u8/p5nej7Gy7kQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5nej7Gy7kQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2afbf1d7", "sha": "5e67933836269f237b9710fa6890bbb41159c287", "translated_description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/p5nej7Gy7kQ/hqdefault.jpg", "youtube_id": "p5nej7Gy7kQ", "content_kind": "Video", "readable_id": "moma-ad-reinhardt"}, {"translated_youtube_id": "jSGGHmTXA3o", "relative_url": "/video/moma-painting-technique-reinhardt", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-reinhardt", "duration": 299, "translated_title": "The Painting Techniques of Ad Reinhardt", "translated_description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x9d581911", "description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Ad Reinhardt", "progress_key": "vx9d581911", "edit_slug": "edit/v/x9d581911", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-reinhardt", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.mp4/jSGGHmTXA3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.mp4/jSGGHmTXA3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.m3u8/jSGGHmTXA3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jSGGHmTXA3o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9d581911", "sha": "7bf347fb2cc0071e70bc4359ba4988c43f4fa55e", "translated_description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/jSGGHmTXA3o/hqdefault.jpg", "youtube_id": "jSGGHmTXA3o", "content_kind": "Video", "readable_id": "moma-painting-technique-reinhardt"}, {"translated_youtube_id": "9bWJt2hjBH0", "relative_url": "/video/jasper-johns-flag", "has_questions": false, "keywords": "New York School, Jasper Johns, Flag,", "ka_url": "http://www.khanacademy.org/video/jasper-johns-flag", "duration": 365, "translated_title": "Jasper Johns, Flag, 1954-55", "translated_description_html": "A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)", "id": "1385500124", "description_html": "A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)", "title": "Jasper Johns, Flag, 1954-55", "progress_key": "v1385500124", "edit_slug": "edit/v/1385500124", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/ny-school.html"}, "node_slug": "v/jasper-johns-flag", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-16T23:58:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9bWJt2hjBH0.mp4/9bWJt2hjBH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9bWJt2hjBH0.mp4/9bWJt2hjBH0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9bWJt2hjBH0.m3u8/9bWJt2hjBH0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9bWJt2hjBH0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1385500124", "sha": "51574157d0bfd8d6cc3025d1eef44f2088053997", "translated_description": "A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)", "image_url": "https://img.youtube.com/vi/9bWJt2hjBH0/hqdefault.jpg", "youtube_id": "9bWJt2hjBH0", "content_kind": "Video", "readable_id": "jasper-johns-flag"}, {"translated_youtube_id": "tvpp2lAD9iY", "relative_url": "/video/robert-rauschenberg--bed--1955", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/robert-rauschenberg--bed--1955", "duration": 289, "translated_title": "Robert Rauschenberg, Bed, 1955", "translated_description_html": "Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) © 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "1390714408", "description_html": "Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) © 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "Robert Rauschenberg, Bed, 1955", "progress_key": "v1390714408", "edit_slug": "edit/v/1390714408", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) © 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://khan.smarthistory.org/rauschenbergs-bed.html"}, "node_slug": "v/robert-rauschenberg--bed--1955", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-19T00:34:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvpp2lAD9iY.mp4/tvpp2lAD9iY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvpp2lAD9iY.mp4/tvpp2lAD9iY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tvpp2lAD9iY.m3u8/tvpp2lAD9iY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tvpp2lAD9iY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1390714408", "sha": "248852e4f622d18c69b92e6ca1e4c8087abe7e59", "translated_description": "Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) © 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/tvpp2lAD9iY/hqdefault.jpg", "youtube_id": "tvpp2lAD9iY", "content_kind": "Video", "readable_id": "robert-rauschenberg--bed--1955"}], "twitter_url": "", "translated_description": "Art had never been especially important in America. Before the Civil War, many of America’s best artists went to Europe and stayed. Even after the war, American artists found little enthusiasm for their work unless it was directly informed by European precedents. By the first years of the 20th Century, a small group of American artists began to paint the gritty streets of New York and were called the Ashcan School for their portrayal of life in the tenements. In 1913 however, the Armory Show exhibited advanced American and European art and helped to create a market for the work of Georgia O’Keeffe and other members of modern galleries like Alfred Steiglitz’s 291 and Peggy Guggenheim’s Art of This Century. During the Great Depression artists such as Grant Wood portrayed rural life in the south and midwest and became known as regionalists while other realists such as Edward Hopper rendered the alienation of the modern city. Meanwhile, Surrealist ideas infused a younger generation of artists’ work in Mexico and the US which would result, by the end of WWII, in the first internationally important American art movement, Abstract Expressionism.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Art had never been especially important in America. Before the Civil War, many of America’s best artists went to Europe and stayed. Even after the war, American artists found little enthusiasm for their work unless it was directly informed by European precedents. By the first years of the 20th Century, a small group of American artists began to paint the gritty streets of New York and were called the Ashcan School for their portrayal of life in the tenements. In 1913 however, the Armory Show exhibited advanced American and European art and helped to create a market for the work of Georgia O’Keeffe and other members of modern galleries like Alfred Steiglitz’s 291 and Peggy Guggenheim’s Art of This Century. During the Great Depression artists such as Grant Wood portrayed rural life in the south and midwest and became known as regionalists while other realists such as Edward Hopper rendered the alienation of the modern city. Meanwhile, Surrealist ideas infused a younger generation of artists’ work in Mexico and the US which would result, by the end of WWII, in the first internationally important American art movement, Abstract Expressionism.", "x_pos": 0.0, "node_slug": "American Modernism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8ffc278a", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/American Modernism", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict/American Modernism", "slug": "American Modernism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9d96789e16480cddd46c167a555f8aad314372d3", "standalone_title": "American-Modernism", "y_pos": 0.0, "current_revision_key": "9d96789e16480cddd46c167a555f8aad314372d3", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Europe in 1907 was powerful, wealthy and stable. The British Empire was unmatched with huge territories that stretched across the globe. The Austrian-Hungarian and Ottoman Empires remained intact, and the Italians, Germans, Dutch, Spanish and Portuguese retained colonies. Nevertheless, the old order would soon collapse, a result of the Great War in 1914. But this trauma was only the beginning. A global financial collapse precipitated by the stock market crash of 1929 allowed Mussolini, Franco and Hitler to seize power. The violence only worsened with the Holocaust, Japanese Imperial expansion, and the Second World War.\n\nAt the same time, this was a period of radical advances in music (Stravinsky, Bartok, etc.), in dance (Duncan, Graham, etc.) in literature (Joyce, Pound, etc.), science (Einstein, Heisenberg, etc.), and of course, in art (Matisse, Picasso, etc.). In the years between the wars artists explored abstraction and the irrational. After the war, and with Europe in ruins, the focus of the art world shifted from Paris to New York where Abstract Expressionism was born.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Europe in 1907 was powerful, wealthy and stable. The British Empire was unmatched with huge territories that stretched across the globe. The Austrian-Hungarian and Ottoman Empires remained intact, and the Italians, Germans, Dutch, Spanish and Portuguese retained colonies. Nevertheless, the old order would soon collapse, a result of the Great War in 1914. But this trauma was only the beginning. A global financial collapse precipitated by the stock market crash of 1929 allowed Mussolini, Franco and Hitler to seize power. The violence only worsened with the Holocaust, Japanese Imperial expansion, and the Second World War.\n\nAt the same time, this was a period of radical advances in music (Stravinsky, Bartok, etc.), in dance (Duncan, Graham, etc.) in literature (Joyce, Pound, etc.), science (Einstein, Heisenberg, etc.), and of course, in art (Matisse, Picasso, etc.). In the years between the wars artists explored abstraction and the irrational. After the war, and with Europe in ruins, the focus of the art world shifted from Paris to New York where Abstract Expressionism was born.", "x_pos": 0.0, "node_slug": "art-history-1907-1960-age-of-global-conflict", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-25T23:37:12Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3012cbf2", "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict", "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict", "slug": "art-history-1907-1960-age-of-global-conflict", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "8b6d1cc14f7b4b80cd1e734c694f4e713e6b4147", "standalone_title": "Art History: 1907-1960 Age of Global Conflict", "y_pos": 0.0, "current_revision_key": "8b6d1cc14f7b4b80cd1e734c694f4e713e6b4147", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism", "translated_standalone_title": "Art History: 1960- Age of Post-Colonialism", "translated_title": "1960 - Age of Post-Colonialism", "gplus_url": "", "id": "xde79809d", "old_key_name": "DVmnaZfqoE0Pe32yCLOBwlYG_7Zj7v8o2NIUZ16f", "hide": false, "title": "1960 - Age of Post-Colonialism", "child_data": [{"kind": "Topic", "id": "x7c5f70ea"}, {"kind": "Topic", "id": "xa9722c93"}, {"kind": "Topic", "id": "xe1a679e6"}, {"kind": "Topic", "id": "xfa3d1069"}, {"kind": "Topic", "id": "x2233bc2d"}, {"kind": "Topic", "id": "xefaf1d60"}, {"kind": "Topic", "id": "x4e6180f9"}, {"kind": "Topic", "id": "x620e8851"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/beginners-guide-contemporary-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/beginners-guide-contemporary-art", "translated_standalone_title": "New Topic", "translated_title": "A beginner's guide to contemporary art", "gplus_url": "", "id": "x7c5f70ea", "old_key_name": null, "hide": false, "title": "A beginner's guide to contemporary art", "child_data": [{"kind": "Article", "id": "x4d7a1a95"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "beginners-guide-contemporary-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7c5f70ea", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/beginners-guide-contemporary-art", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/beginners-guide-contemporary-art", "slug": "beginners-guide-contemporary-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6b448ae8165c9d8ab25c36066b782a77e33d18e8", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "6b448ae8165c9d8ab25c36066b782a77e33d18e8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/the-postwar-figure", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/the-postwar-figure", "translated_standalone_title": "Art history: The postwar figure", "translated_title": "The postwar figure", "gplus_url": "", "id": "xa9722c93", "old_key_name": "4XUCRSFue3t4fT85x_cRHKvEluUhFj45LC_1Npu0", "hide": false, "title": "The postwar figure", "child_data": [{"kind": "Video", "id": 671718112}, {"kind": "Video", "id": 670111819}, {"kind": "Video", "id": 671656234}, {"kind": "Video", "id": 671738056}, {"kind": "Video", "id": 669368699}, {"kind": "Exercise", "id": "xe3a27f69"}], "children": [{"translated_youtube_id": "JZRY6Eco7BM", "relative_url": "/video/francis-bacon--triptych---august-1972--1972", "has_questions": false, "keywords": "Francis Bacon, Triptych, Tate Modern, Art History, Art, Smarthistory", "ka_url": "http://www.khanacademy.org/video/francis-bacon--triptych---august-1972--1972", "duration": 324, "translated_title": "Bacon, Triptych - August 1972", "translated_description_html": "Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html", "id": "671718112", "description_html": "Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html", "title": "Bacon, Triptych - August 1972", "progress_key": "v671718112", "edit_slug": "edit/v/671718112", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/francis-bacon-triptych-august-1972"}, "node_slug": "v/francis-bacon--triptych---august-1972--1972", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2012-03-20T19:13:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JZRY6Eco7BM.mp4/JZRY6Eco7BM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JZRY6Eco7BM.mp4/JZRY6Eco7BM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JZRY6Eco7BM.m3u8/JZRY6Eco7BM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JZRY6Eco7BM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718112", "sha": "5802d6c6c34077f936dd2915af5719453221a23c", "translated_description": "Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html", "image_url": "https://img.youtube.com/vi/JZRY6Eco7BM/hqdefault.jpg", "youtube_id": "JZRY6Eco7BM", "content_kind": "Video", "readable_id": "francis-bacon--triptych---august-1972--1972"}, {"translated_youtube_id": "Nb6EQUS8hDo", "relative_url": "/video/lucian-freud--standing-by-the-rags--1988-89", "has_questions": false, "keywords": "smarthistory, Lucian Freud, Standing by the Rags, Tate Britain, 20th century painting", "ka_url": "http://www.khanacademy.org/video/lucian-freud--standing-by-the-rags--1988-89", "duration": 225, "translated_title": "Freud, Standing by the Rags", "translated_description_html": "Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm), (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "670111819", "description_html": "Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm), (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Freud, Standing by the Rags", "progress_key": "v670111819", "edit_slug": "edit/v/670111819", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm), (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lucian-freud-standing-by-the-rags-1988-89"}, "node_slug": "v/lucian-freud--standing-by-the-rags--1988-89", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nb6EQUS8hDo.mp4/Nb6EQUS8hDo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nb6EQUS8hDo.mp4/Nb6EQUS8hDo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Nb6EQUS8hDo.m3u8/Nb6EQUS8hDo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Nb6EQUS8hDo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v670111819", "sha": "459e70827a82c8f2c7591d93f33ca6a61696e709", "translated_description": "Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm), (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/Nb6EQUS8hDo/hqdefault.jpg", "youtube_id": "Nb6EQUS8hDo", "content_kind": "Video", "readable_id": "lucian-freud--standing-by-the-rags--1988-89"}, {"translated_youtube_id": "03vCPk3PyI8", "relative_url": "/video/arbus--boy-with-a-toy-grenade--1962", "has_questions": false, "keywords": "Smarthistory, Art History, Dian Arbus", "ka_url": "http://www.khanacademy.org/video/arbus--boy-with-a-toy-grenade--1962", "duration": 247, "translated_title": "Diane Arbus, Boy with a Toy Hand Grenade", "translated_description_html": "Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay", "id": "671656234", "description_html": "Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay", "title": "Diane Arbus, Boy with a Toy Hand Grenade", "progress_key": "v671656234", "edit_slug": "edit/v/671656234", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/photography-diane-arbus"}, "node_slug": "v/arbus--boy-with-a-toy-grenade--1962", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/03vCPk3PyI8.mp4/03vCPk3PyI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/03vCPk3PyI8.mp4/03vCPk3PyI8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/03vCPk3PyI8.m3u8/03vCPk3PyI8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=03vCPk3PyI8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v671656234", "sha": "5bface75c94ae5e88b37a0016e2aeb5188807d00", "translated_description": "Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay", "image_url": "https://img.youtube.com/vi/03vCPk3PyI8/hqdefault.jpg", "youtube_id": "03vCPk3PyI8", "content_kind": "Video", "readable_id": "arbus--boy-with-a-toy-grenade--1962"}, {"translated_youtube_id": "jwWWjOkiJDs", "relative_url": "/video/eggleston---red-ceiling---or-greenwood--mississippi-1973", "has_questions": false, "keywords": "Eggleston, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/eggleston---red-ceiling---or-greenwood--mississippi-1973", "duration": 302, "translated_title": "William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973", "translated_description_html": "William Eggleston, \"Red Ceiling,\" or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "id": "671738056", "description_html": "William Eggleston, \"Red Ceiling,\" or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "title": "William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973", "progress_key": "v671738056", "edit_slug": "edit/v/671738056", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "William Eggleston, \"Red Ceiling,\" or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/william-eggleston"}, "node_slug": "v/eggleston---red-ceiling---or-greenwood--mississippi-1973", "deleted": false, "backup_timestamp": "2013-09-21T10:38:46Z", "date_added": "2012-03-20T19:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jwWWjOkiJDs.mp4/jwWWjOkiJDs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jwWWjOkiJDs.mp4/jwWWjOkiJDs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jwWWjOkiJDs.m3u8/jwWWjOkiJDs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jwWWjOkiJDs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v671738056", "sha": "a8be53ae993adb826bc077f40f10624102e0d763", "translated_description": "William Eggleston, \"Red Ceiling,\" or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/jwWWjOkiJDs/hqdefault.jpg", "youtube_id": "jwWWjOkiJDs", "content_kind": "Video", "readable_id": "eggleston---red-ceiling---or-greenwood--mississippi-1973"}, {"translated_youtube_id": "WhGOmAwuQTE", "relative_url": "/video/ed-kienholz-and-nancy-reddin-kienholz--useful-art--5--the-western-hotel--1992", "has_questions": false, "keywords": "Final, Kienholz", "ka_url": "http://www.khanacademy.org/video/ed-kienholz-and-nancy-reddin-kienholz--useful-art--5--the-western-hotel--1992", "duration": 343, "translated_title": "Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992", "translated_description_html": "Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther", "id": "669368699", "description_html": "Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther", "title": "Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992", "progress_key": "v669368699", "edit_slug": "edit/v/669368699", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/kienholz"}, "node_slug": "v/ed-kienholz-and-nancy-reddin-kienholz--useful-art--5--the-western-hotel--1992", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WhGOmAwuQTE.mp4/WhGOmAwuQTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WhGOmAwuQTE.mp4/WhGOmAwuQTE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WhGOmAwuQTE.m3u8/WhGOmAwuQTE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WhGOmAwuQTE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368699", "sha": "b7f94232be995a2459219ca7918f8b9daca22cc0", "translated_description": "Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther", "image_url": "https://img.youtube.com/vi/WhGOmAwuQTE/hqdefault.jpg", "youtube_id": "WhGOmAwuQTE", "content_kind": "Video", "readable_id": "ed-kienholz-and-nancy-reddin-kienholz--useful-art--5--the-western-hotel--1992"}], "twitter_url": "", "translated_description": "Artists first represented the human body more than 30,000 years ago and haven’t stopped since. Figurative art has been a continuous tradition through human history. Even in societies where the biblical law forbidding the graven image is most strictly interpreted (Judaism and Islam for example), there have always been instances of figural art. The same is true for the era of modernist abstraction when artists found new ways to portray the body on canvas or with the lens of a camera that could profoundly describe the human condition in , and abstraction the post-holocaust era.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Artists first represented the human body more than 30,000 years ago and haven’t stopped since. Figurative art has been a continuous tradition through human history. Even in societies where the biblical law forbidding the graven image is most strictly interpreted (Judaism and Islam for example), there have always been instances of figural art. The same is true for the era of modernist abstraction when artists found new ways to portray the body on canvas or with the lens of a camera that could profoundly describe the human condition in , and abstraction the post-holocaust era.", "x_pos": 0.0, "node_slug": "the-postwar-figure", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa9722c93", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/the-postwar-figure", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/the-postwar-figure", "slug": "the-postwar-figure", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a9341c1c5d1f696a0f6e2ed5c831d8702f754175", "standalone_title": "Art history: The postwar figure", "y_pos": 0.0, "current_revision_key": "a9341c1c5d1f696a0f6e2ed5c831d8702f754175", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/pop-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/pop-art", "translated_standalone_title": "Art History: Pop Art", "translated_title": "Pop & After", "gplus_url": "", "id": "xe1a679e6", "old_key_name": "PzxMR45aIjLlSCQscBMyNniUEucu9fyEEH49Ail_", "hide": false, "title": "Pop & After", "child_data": [{"kind": "Video", "id": 671385821}, {"kind": "Video", "id": 1020966748}, {"kind": "Video", "id": 671656235}, {"kind": "Video", "id": "x629a04ea"}, {"kind": "Video", "id": 671738057}, {"kind": "Video", "id": 1383485038}, {"kind": "Video", "id": 671634403}, {"kind": "Video", "id": 956911846}, {"kind": "Video", "id": "x7e438cdb"}, {"kind": "Exercise", "id": "x80cb13ce"}], "children": [{"translated_youtube_id": "lXfzq27fGvU", "relative_url": "/video/warhol--gold-marilyn-monroe--1962", "has_questions": false, "keywords": "marilyn, marilyn monroe, smarthistory, art, art history, warhol, pop art", "ka_url": "http://www.khanacademy.org/video/warhol--gold-marilyn-monroe--1962", "duration": 195, "translated_title": "Warhol, Gold Marilyn Monroe", "translated_description_html": "Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)", "id": "671385821", "description_html": "Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)", "title": "Warhol, Gold Marilyn Monroe", "progress_key": "v671385821", "edit_slug": "edit/v/671385821", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/pop-art"}, "node_slug": "v/warhol--gold-marilyn-monroe--1962", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lXfzq27fGvU.mp4/lXfzq27fGvU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lXfzq27fGvU.mp4/lXfzq27fGvU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lXfzq27fGvU.m3u8/lXfzq27fGvU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lXfzq27fGvU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385821", "sha": "2e8a5b03eb14a777190892ede6218521b61d61b6", "translated_description": "Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)", "image_url": "https://img.youtube.com/vi/lXfzq27fGvU/hqdefault.jpg", "youtube_id": "lXfzq27fGvU", "content_kind": "Video", "readable_id": "warhol--gold-marilyn-monroe--1962"}, {"translated_youtube_id": "J2CtQD3OLRI", "relative_url": "/video/andy-warhol-s-soup-cans--why-is-this-art", "has_questions": false, "keywords": "khan academy, smarthistory, art history, Warhol, Pop Art, Andy Warhol (Illustrator)", "ka_url": "http://www.khanacademy.org/video/andy-warhol-s-soup-cans--why-is-this-art", "duration": 430, "translated_title": "Warhol, Campbell's Soup Cans", "translated_description_html": "Andy Warhol, Campbell's Soup Cans, 1962 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "id": "1020966748", "description_html": "Andy Warhol, Campbell's Soup Cans, 1962 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "title": "Warhol, Campbell's Soup Cans", "progress_key": "v1020966748", "edit_slug": "edit/v/1020966748", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Andy Warhol, Campbell's Soup Cans, 1962 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/campbells-soup-cans"}, "node_slug": "v/andy-warhol-s-soup-cans--why-is-this-art", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-04T19:42:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/J2CtQD3OLRI.mp4/J2CtQD3OLRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J2CtQD3OLRI.mp4/J2CtQD3OLRI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J2CtQD3OLRI.m3u8/J2CtQD3OLRI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=J2CtQD3OLRI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1020966748", "sha": "98fa9915dd85b1224b4c6e20506bbeac70a4bfc5", "translated_description": "Andy Warhol, Campbell's Soup Cans, 1962 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker", "image_url": "https://img.youtube.com/vi/J2CtQD3OLRI/hqdefault.jpg", "youtube_id": "J2CtQD3OLRI", "content_kind": "Video", "readable_id": "andy-warhol-s-soup-cans--why-is-this-art"}, {"translated_youtube_id": "N-mt2tiRJ7U", "relative_url": "/video/oldenburg--floor-cake--1962", "has_questions": false, "keywords": "Oldenburg, Cake, Smartistory, Art History, Pop Art", "ka_url": "http://www.khanacademy.org/video/oldenburg--floor-cake--1962", "duration": 210, "translated_title": "Oldenburg, Floor Cake", "translated_description_html": "Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html", "id": "671656235", "description_html": "Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html", "title": "Oldenburg, Floor Cake", "progress_key": "v671656235", "edit_slug": "edit/v/671656235", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/claes-oldenburg"}, "node_slug": "v/oldenburg--floor-cake--1962", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N-mt2tiRJ7U.mp4/N-mt2tiRJ7U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N-mt2tiRJ7U.mp4/N-mt2tiRJ7U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N-mt2tiRJ7U.m3u8/N-mt2tiRJ7U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N-mt2tiRJ7U&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656235", "sha": "bf0f4663e5aa15cfc0c208c80132b10db80d6fd0", "translated_description": "Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html", "image_url": "https://img.youtube.com/vi/N-mt2tiRJ7U/hqdefault.jpg", "youtube_id": "N-mt2tiRJ7U", "content_kind": "Video", "readable_id": "oldenburg--floor-cake--1962"}, {"translated_youtube_id": "txHg9ItLH3Y", "relative_url": "/video/moma-rosenquist-f111", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-rosenquist-f111", "duration": 103, "translated_title": "James Rosenquist, \"F-111,\" 1964-65", "translated_description_html": "

​James Rosenquist said about his 1964 painting, F111<\/em>, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x629a04ea", "description_html": "

​James Rosenquist said about his 1964 painting, F111<\/em>, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "James Rosenquist, \"F-111,\" 1964-65", "progress_key": "vx629a04ea", "edit_slug": "edit/v/x629a04ea", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "​James Rosenquist said about his 1964 painting, F111, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-rosenquist-f111", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.mp4/txHg9ItLH3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.mp4/txHg9ItLH3Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.m3u8/txHg9ItLH3Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=txHg9ItLH3Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx629a04ea", "sha": "f4a30069fb239d951d030b1df9e2b536b49b91dc", "translated_description": "​James Rosenquist said about his 1964 painting, F111, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/txHg9ItLH3Y/hqdefault.jpg", "youtube_id": "txHg9ItLH3Y", "content_kind": "Video", "readable_id": "moma-rosenquist-f111"}, {"translated_youtube_id": "GpwAsXrBJ-Q", "relative_url": "/video/lichtenstein--rouen-cathedral-set-v--1969", "has_questions": false, "keywords": "Lichtenstein, Rouen, Art History, Smarthistory, Pop Art", "ka_url": "http://www.khanacademy.org/video/lichtenstein--rouen-cathedral-set-v--1969", "duration": 190, "translated_title": "Lichtenstein, Rouen Cathedral Set V", "translated_description_html": "Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", "id": "671738057", "description_html": "Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", "title": "Lichtenstein, Rouen Cathedral Set V", "progress_key": "v671738057", "edit_slug": "edit/v/671738057", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/lichtensteins-rouen-cathedral-set-v"}, "node_slug": "v/lichtenstein--rouen-cathedral-set-v--1969", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.m3u8/GpwAsXrBJ-Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GpwAsXrBJ-Q&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738057", "sha": "567b8403d00798f859d3399148c731b0c941f5a1", "translated_description": "Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", "image_url": "https://img.youtube.com/vi/GpwAsXrBJ-Q/hqdefault.jpg", "youtube_id": "GpwAsXrBJ-Q", "content_kind": "Video", "readable_id": "lichtenstein--rouen-cathedral-set-v--1969"}, {"translated_youtube_id": "4GW-PORTvfo", "relative_url": "/video/richter-betty", "has_questions": false, "keywords": "art, art history, German, painting, contemporary, naturalism, Betty, Richter, Gerhard Richter", "ka_url": "http://www.khanacademy.org/video/richter-betty", "duration": 299, "translated_title": "Gerhard Richter, Betty", "translated_description_html": "Salman Khan and Steven Zucker discuss Gerhard Richter's Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)", "id": "1383485038", "description_html": "Salman Khan and Steven Zucker discuss Gerhard Richter's Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)", "title": "Gerhard Richter, Betty", "progress_key": "v1383485038", "edit_slug": "edit/v/1383485038", "author_names": ["Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Salman Khan and Steven Zucker discuss Gerhard Richter's Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)", "extra_properties": {"original_url": "smarthistory.khanacademy.org/gerhard-richter-betty.html"}, "node_slug": "v/richter-betty", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-02-15T22:18:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4GW-PORTvfo.mp4/4GW-PORTvfo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4GW-PORTvfo.mp4/4GW-PORTvfo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4GW-PORTvfo.m3u8/4GW-PORTvfo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4GW-PORTvfo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1383485038", "sha": "0470e6ebf66046bf4cd9c18276cb2434e1775362", "translated_description": "Salman Khan and Steven Zucker discuss Gerhard Richter's Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)", "image_url": "https://img.youtube.com/vi/4GW-PORTvfo/hqdefault.jpg", "youtube_id": "4GW-PORTvfo", "content_kind": "Video", "readable_id": "richter-betty"}, {"translated_youtube_id": "aOeKj-w-3fY", "relative_url": "/video/robert-storr--gerhard-richter--the-cage-paintings", "has_questions": false, "keywords": "Gerhard, Richter, Robert Storr, Painting, Cage, Cage Paintings", "ka_url": "http://www.khanacademy.org/video/robert-storr--gerhard-richter--the-cage-paintings", "duration": 868, "translated_title": "Gerhard Richter, The Cage Paintings (1-6)", "translated_description_html": "Robert Storr talks about Gerhard Richter's Cage paintings.", "id": "671634403", "description_html": "Robert Storr talks about Gerhard Richter's Cage paintings.", "title": "Gerhard Richter, The Cage Paintings (1-6)", "progress_key": "v671634403", "edit_slug": "edit/v/671634403", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Robert Storr talks about Gerhard Richter's Cage paintings.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gerhard-richter-the-cage-paintings-1-6"}, "node_slug": "v/robert-storr--gerhard-richter--the-cage-paintings", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-03-20T19:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aOeKj-w-3fY.mp4/aOeKj-w-3fY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aOeKj-w-3fY.mp4/aOeKj-w-3fY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aOeKj-w-3fY.m3u8/aOeKj-w-3fY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aOeKj-w-3fY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634403", "sha": "964765ed2454430a1403a421e4cde3e472c2eb9b", "translated_description": "Robert Storr talks about Gerhard Richter's Cage paintings.", "image_url": "https://img.youtube.com/vi/aOeKj-w-3fY/hqdefault.jpg", "youtube_id": "aOeKj-w-3fY", "content_kind": "Video", "readable_id": "robert-storr--gerhard-richter--the-cage-paintings"}, {"translated_youtube_id": "_s_-J1DFXnQ", "relative_url": "/video/robert-storr--gerhard-richter---september--2009", "has_questions": false, "keywords": "Gerhard, Richter, September, Robert, Storr, painting", "ka_url": "http://www.khanacademy.org/video/robert-storr--gerhard-richter---september--2009", "duration": 1163, "translated_title": "Gerhard Richter, September", "translated_description_html": "Robert Storr talks about Gerhard Richter's painting \"September\".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nFür deutsche Untertitel bitte cc anklicken.", "id": "956911846", "description_html": "Robert Storr talks about Gerhard Richter's painting \"September\".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nFür deutsche Untertitel bitte cc anklicken.", "title": "Gerhard Richter, September", "progress_key": "v956911846", "edit_slug": "edit/v/956911846", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Robert Storr talks about Gerhard Richter's painting \"September\".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nFür deutsche Untertitel bitte cc anklicken.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/gerhard-richter-september"}, "node_slug": "v/robert-storr--gerhard-richter---september--2009", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-10T20:50:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_s_-J1DFXnQ.mp4/_s_-J1DFXnQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_s_-J1DFXnQ.mp4/_s_-J1DFXnQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_s_-J1DFXnQ.m3u8/_s_-J1DFXnQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_s_-J1DFXnQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v956911846", "sha": "42ab5f0a97769652e1b41337809e3cfc551b36bc", "translated_description": "Robert Storr talks about Gerhard Richter's painting \"September\".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nFür deutsche Untertitel bitte cc anklicken.", "image_url": "https://img.youtube.com/vi/_s_-J1DFXnQ/hqdefault.jpg", "youtube_id": "_s_-J1DFXnQ", "content_kind": "Video", "readable_id": "robert-storr--gerhard-richter---september--2009"}, {"translated_youtube_id": "exBNBmf-my8", "relative_url": "/video/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "duration": 619, "translated_title": "Jim Dine's \"Poet Singing (The Flowering Sheets):\" a documentary", "translated_description_html": "

In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+<\/a><\/p>", "id": "x7e438cdb", "description_html": "

In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+<\/a><\/p>", "title": "Jim Dine's \"Poet Singing (The Flowering Sheets):\" a documentary", "progress_key": "vx7e438cdb", "edit_slug": "edit/v/x7e438cdb", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.mp4/exBNBmf-my8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.mp4/exBNBmf-my8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.m3u8/exBNBmf-my8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=exBNBmf-my8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7e438cdb", "sha": "2dde927303cc3b0d23247cb02894a775468253e0", "translated_description": "In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/exBNBmf-my8/hqdefault.jpg", "youtube_id": "exBNBmf-my8", "content_kind": "Video", "readable_id": "jim-dine-s-poet-singing-the-flowering-sheets-a-documentary"}], "twitter_url": "", "translated_description": "When people walk into an art museum they often expect to see treasures of their cultural history—beautifully crafted precious objects that express profound truths—images of God, nature, man’s heroism, but Campbell soup cans hawked on TV? Pop art sought to upend our comfortable understanding of what art is and it did just that. Warhol, Lichtenstein, Oldenburg, and others confronted the visual reality of our commercial consumer culture by focusing on the mechanics of representation and the subject matter of daily life in the middle of the 20th Century.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "When people walk into an art museum they often expect to see treasures of their cultural history—beautifully crafted precious objects that express profound truths—images of God, nature, man’s heroism, but Campbell soup cans hawked on TV? Pop art sought to upend our comfortable understanding of what art is and it did just that. Warhol, Lichtenstein, Oldenburg, and others confronted the visual reality of our commercial consumer culture by focusing on the mechanics of representation and the subject matter of daily life in the middle of the 20th Century.", "x_pos": 0.0, "node_slug": "pop-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe1a679e6", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/pop-art", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/pop-art", "slug": "pop-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "35f815df1277b47632d5239f942225a6f989cc7e", "standalone_title": "Art History: Pop Art", "y_pos": 0.0, "current_revision_key": "35f815df1277b47632d5239f942225a6f989cc7e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/minimalism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/minimalism", "translated_standalone_title": "Art history: Minimalism", "translated_title": "Minimalism and the land", "gplus_url": "", "id": "xfa3d1069", "old_key_name": "J7GrQ4gEt0oCRQJJYo9niSsEAIqqKI0JMn4CffsB", "hide": false, "title": "Minimalism and the land", "child_data": [{"kind": "Video", "id": 671656237}, {"kind": "Video", "id": 671738055}, {"kind": "Video", "id": 671385822}, {"kind": "Video", "id": "x255f97b9"}, {"kind": "Video", "id": "x4ff11b89"}, {"kind": "Exercise", "id": "x1ff53f7e"}], "children": [{"translated_youtube_id": "G37C5vKCwH4", "relative_url": "/video/donald-judd--untitled--1969", "has_questions": false, "keywords": "Donald Judd, Khan Academy, Smarthistory, Minimalism", "ka_url": "http://www.khanacademy.org/video/donald-judd--untitled--1969", "duration": 230, "translated_title": "Donald Judd, Untitled", "translated_description_html": "Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "id": "671656237", "description_html": "Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "title": "Donald Judd, Untitled", "progress_key": "v671656237", "edit_slug": "edit/v/671656237", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/minimalismjudds-untitled"}, "node_slug": "v/donald-judd--untitled--1969", "deleted": false, "backup_timestamp": "2013-09-23T18:42:23Z", "date_added": "2012-03-20T19:13:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G37C5vKCwH4.mp4/G37C5vKCwH4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G37C5vKCwH4.mp4/G37C5vKCwH4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G37C5vKCwH4.m3u8/G37C5vKCwH4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G37C5vKCwH4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656237", "sha": "baf19a8a219712267d0c3b42be2e561eca481455", "translated_description": "Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/G37C5vKCwH4/hqdefault.jpg", "youtube_id": "G37C5vKCwH4", "content_kind": "Video", "readable_id": "donald-judd--untitled--1969"}, {"translated_youtube_id": "jOGZKimS-b4", "relative_url": "/video/dan-flavin--untitled--to-donna--ii--1971", "has_questions": false, "keywords": "Dan Flavin, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/dan-flavin--untitled--to-donna--ii--1971", "duration": 166, "translated_title": "Dan Flavin, Untitled (To Donna) II", "translated_description_html": "Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns", "id": "671738055", "description_html": "Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns", "title": "Dan Flavin, Untitled (To Donna) II", "progress_key": "v671738055", "edit_slug": "edit/v/671738055", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/dan-flavin-untitled-to-donna-ii"}, "node_slug": "v/dan-flavin--untitled--to-donna--ii--1971", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-03-20T19:13:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jOGZKimS-b4.mp4/jOGZKimS-b4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jOGZKimS-b4.mp4/jOGZKimS-b4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jOGZKimS-b4.m3u8/jOGZKimS-b4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jOGZKimS-b4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671738055", "sha": "ccc31b32710ef6aa414efb4124f1f7cf45bacfe8", "translated_description": "Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns", "image_url": "https://img.youtube.com/vi/jOGZKimS-b4/hqdefault.jpg", "youtube_id": "jOGZKimS-b4", "content_kind": "Video", "readable_id": "dan-flavin--untitled--to-donna--ii--1971"}, {"translated_youtube_id": "NUu0_Zn55yM", "relative_url": "/video/smithson--spiral-jetty--1970", "has_questions": false, "keywords": "Robert Smithson, Spiral Jetty, Earth Art, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/smithson--spiral-jetty--1970", "duration": 225, "translated_title": "Smithson, Spiral Jetty", "translated_description_html": "Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html", "id": "671385822", "description_html": "Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html", "title": "Smithson, Spiral Jetty", "progress_key": "v671385822", "edit_slug": "edit/v/671385822", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/earth-artsmithsons-spiral-jetty"}, "node_slug": "v/smithson--spiral-jetty--1970", "deleted": false, "backup_timestamp": "2013-09-25T13:31:42Z", "date_added": "2012-03-20T19:13:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NUu0_Zn55yM.mp4/NUu0_Zn55yM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NUu0_Zn55yM.mp4/NUu0_Zn55yM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NUu0_Zn55yM.m3u8/NUu0_Zn55yM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NUu0_Zn55yM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671385822", "sha": "42f186dec6a63b221f4c567bff8280aa7ace6b4d", "translated_description": "Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html", "image_url": "https://img.youtube.com/vi/NUu0_Zn55yM/hqdefault.jpg", "youtube_id": "NUu0_Zn55yM", "content_kind": "Video", "readable_id": "smithson--spiral-jetty--1970"}, {"translated_youtube_id": "wuxjTxxQUTs", "relative_url": "/video/MayaLin-VietnamVetMem", "has_questions": false, "keywords": "Maya Lin, Vietnam, Veterans, Memorial, war, Washington", "ka_url": "http://www.khanacademy.org/video/MayaLin-VietnamVetMem", "duration": 433, "translated_title": "Maya Lin, Vietnam Veterans Memorial", "translated_description_html": "

Maya Lin, Vietnam Veterans Memorial<\/em>, 1982, granite, 2 acres within Constitution Gardens, (National Mall, Washington, D.C.), speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "id": "x255f97b9", "description_html": "

Maya Lin, Vietnam Veterans Memorial<\/em>, 1982, granite, 2 acres within Constitution Gardens, (National Mall, Washington, D.C.), speakers: Dr. Beth Harris and Dr. Steven Zucker<\/p>", "title": "Maya Lin, Vietnam Veterans Memorial", "progress_key": "vx255f97b9", "edit_slug": "edit/v/x255f97b9", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": null, "description": "Maya Lin, Vietnam Veterans Memorial, 1982, granite, 2 acres within Constitution Gardens, (National Mall, Washington, D.C.), speakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/maya-lins-vietnam-veterans-memorial.html"}, "node_slug": "v/MayaLin-VietnamVetMem", "deleted": false, "backup_timestamp": "2013-09-30T00:32:21Z", "date_added": "2013-09-29T12:26:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wuxjTxxQUTs.mp4/wuxjTxxQUTs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wuxjTxxQUTs.mp4/wuxjTxxQUTs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wuxjTxxQUTs.m3u8/wuxjTxxQUTs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wuxjTxxQUTs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx255f97b9", "sha": "b3dd0409ca9da2947e8e68b71adc6248eb5e7654", "translated_description": "Maya Lin, Vietnam Veterans Memorial, 1982, granite, 2 acres within Constitution Gardens, (National Mall, Washington, D.C.), speakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/wuxjTxxQUTs/hqdefault.jpg", "youtube_id": "wuxjTxxQUTs", "content_kind": "Video", "readable_id": "MayaLin-VietnamVetMem"}, {"translated_youtube_id": "AN2DJxMLFOw", "relative_url": "/video/Rockburne-Drawing", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Rockburne-Drawing", "duration": 236, "translated_title": "Dorothea Rockburne: Drawing Which Makes Itself", "translated_description_html": "

Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "id": "x4ff11b89", "description_html": "

Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "title": "Dorothea Rockburne: Drawing Which Makes Itself", "progress_key": "vx4ff11b89", "edit_slug": "edit/v/x4ff11b89", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/Rockburne-Drawing", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.mp4/AN2DJxMLFOw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.mp4/AN2DJxMLFOw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.m3u8/AN2DJxMLFOw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AN2DJxMLFOw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4ff11b89", "sha": "de0c6cbbf1c6caf827f13778f15e487cb0062c8a", "translated_description": "Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/AN2DJxMLFOw/hqdefault.jpg", "youtube_id": "AN2DJxMLFOw", "content_kind": "Video", "readable_id": "Rockburne-Drawing"}], "twitter_url": "", "translated_description": "“Primary Structures,” “ABC Art,” and “Minimalism” are terms that attempted to categorize the work of Donald Judd, Dan Flavin, Sol Lewitt and other artists who produced hard edged, often geometric and seemingly machined objects in the later 1960s and early 1970s. These stark, often cold and cerebral forms were the very antithesis of the deeply emotive gestural art of the Abstract Expressionists and their followers who had dominated the New York art scene since the 1940s. Here was an art that renounced the authentic “hand’ of the artist and sought instead to create forms without reference to the world beyond the object’s own logic except perhaps as Platonic expressions of a pure ideal.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "“Primary Structures,” “ABC Art,” and “Minimalism” are terms that attempted to categorize the work of Donald Judd, Dan Flavin, Sol Lewitt and other artists who produced hard edged, often geometric and seemingly machined objects in the later 1960s and early 1970s. These stark, often cold and cerebral forms were the very antithesis of the deeply emotive gestural art of the Abstract Expressionists and their followers who had dominated the New York art scene since the 1940s. Here was an art that renounced the authentic “hand’ of the artist and sought instead to create forms without reference to the world beyond the object’s own logic except perhaps as Platonic expressions of a pure ideal.", "x_pos": 0.0, "node_slug": "minimalism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-29T12:27:32Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfa3d1069", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/minimalism", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/minimalism", "slug": "minimalism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c72bc0b99421abdea2a017d9128323bebebd342d", "standalone_title": "Art history: Minimalism", "y_pos": 0.0, "current_revision_key": "c72bc0b99421abdea2a017d9128323bebebd342d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/process-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/process-art", "translated_standalone_title": "Art history: Process art", "translated_title": "Process art", "gplus_url": "", "id": "x2233bc2d", "old_key_name": "78JuyDIHACevABUKtPE4kx-jSCmZY0HC3WRMf8YT", "hide": false, "title": "Process art", "child_data": [{"kind": "Video", "id": 669368700}, {"kind": "Video", "id": 671656236}, {"kind": "Video", "id": 671634407}, {"kind": "Video", "id": 671634404}, {"kind": "Exercise", "id": "x20a44a93"}], "children": [{"translated_youtube_id": "jO1wp-Bx-WE", "relative_url": "/video/hesse--untitled--1966", "has_questions": false, "keywords": "Eva Hesse, Smarthistory, Art History, Modern Art, MoMA", "ka_url": "http://www.khanacademy.org/video/hesse--untitled--1966", "duration": 221, "translated_title": "Hesse, Untitled", "translated_description_html": "Eva Hesse, Untitled, enamel paint, string, papier-mâché, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "id": "669368700", "description_html": "Eva Hesse, Untitled, enamel paint, string, papier-mâché, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "title": "Hesse, Untitled", "progress_key": "v669368700", "edit_slug": "edit/v/669368700", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Eva Hesse, Untitled, enamel paint, string, papier-mâché, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/eva-hesse"}, "node_slug": "v/hesse--untitled--1966", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-03-20T19:13:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jO1wp-Bx-WE.mp4/jO1wp-Bx-WE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jO1wp-Bx-WE.mp4/jO1wp-Bx-WE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jO1wp-Bx-WE.m3u8/jO1wp-Bx-WE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jO1wp-Bx-WE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368700", "sha": "329c834aa80c046f69072e251ab25595e86a28f1", "translated_description": "Eva Hesse, Untitled, enamel paint, string, papier-mâché, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/jO1wp-Bx-WE/hqdefault.jpg", "youtube_id": "jO1wp-Bx-WE", "content_kind": "Video", "readable_id": "hesse--untitled--1966"}, {"translated_youtube_id": "-nrSCokEUXg", "relative_url": "/video/hesse--untitled--rope-piece---1970", "has_questions": false, "keywords": "Hesse, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/hesse--untitled--rope-piece---1970", "duration": 226, "translated_title": "Hesse, Untitled (Rope Piece), 1970", "translated_description_html": "Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html", "id": "671656236", "description_html": "Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html", "title": "Hesse, Untitled (Rope Piece), 1970", "progress_key": "v671656236", "edit_slug": "edit/v/671656236", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/untitled-rope-piece"}, "node_slug": "v/hesse--untitled--rope-piece---1970", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-nrSCokEUXg.mp4/-nrSCokEUXg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-nrSCokEUXg.mp4/-nrSCokEUXg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-nrSCokEUXg.m3u8/-nrSCokEUXg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-nrSCokEUXg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671656236", "sha": "86593d467389efcfe936fcfbd3ed98cb6dd2c9af", "translated_description": "Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html", "image_url": "https://img.youtube.com/vi/-nrSCokEUXg/hqdefault.jpg", "youtube_id": "-nrSCokEUXg", "content_kind": "Video", "readable_id": "hesse--untitled--rope-piece---1970"}, {"translated_youtube_id": "_dLpDljQWis", "relative_url": "/video/lynda-benglis--omega--1973", "has_questions": false, "keywords": "Chicago, Benglis, Art History, Smarthistory", "ka_url": "http://www.khanacademy.org/video/lynda-benglis--omega--1973", "duration": 283, "translated_title": "Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega", "translated_description_html": "Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html", "id": "671634407", "description_html": "Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html", "title": "Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega", "progress_key": "v671634407", "edit_slug": "edit/v/671634407", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega"}, "node_slug": "v/lynda-benglis--omega--1973", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-20T19:13:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_dLpDljQWis.mp4/_dLpDljQWis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_dLpDljQWis.mp4/_dLpDljQWis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_dLpDljQWis.m3u8/_dLpDljQWis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_dLpDljQWis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634407", "sha": "8c3782b0e5a347920befbc6212b6a38b5805382c", "translated_description": "Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html", "image_url": "https://img.youtube.com/vi/_dLpDljQWis/hqdefault.jpg", "youtube_id": "_dLpDljQWis", "content_kind": "Video", "readable_id": "lynda-benglis--omega--1973"}, {"translated_youtube_id": "Mn4D4eQxeMU", "relative_url": "/video/jackie-winsor---1-rope--1976", "has_questions": false, "keywords": "rope, Jackie Winsor, Winsor, Process Art, Sculpture, twine, Hemp, SFMOMA", "ka_url": "http://www.khanacademy.org/video/jackie-winsor---1-rope--1976", "duration": 194, "translated_title": "Winsor, #1 Rope", "translated_description_html": "Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html", "id": "671634404", "description_html": "Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html", "title": "Winsor, #1 Rope", "progress_key": "v671634404", "edit_slug": "edit/v/671634404", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/jackie-winsors-1-rope"}, "node_slug": "v/jackie-winsor---1-rope--1976", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2012-03-20T19:13:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mn4D4eQxeMU.mp4/Mn4D4eQxeMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mn4D4eQxeMU.mp4/Mn4D4eQxeMU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Mn4D4eQxeMU.m3u8/Mn4D4eQxeMU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Mn4D4eQxeMU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671634404", "sha": "f6bc43bd7f965d91832746d871fbcfedeef434bd", "translated_description": "Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html", "image_url": "https://img.youtube.com/vi/Mn4D4eQxeMU/hqdefault.jpg", "youtube_id": "Mn4D4eQxeMU", "content_kind": "Video", "readable_id": "jackie-winsor---1-rope--1976"}], "twitter_url": "", "translated_description": "By the second half of the 20th Century, the avant-garde had an avant-garde of its own. Even as Pop, Minimal and Concept artists renounced the handmade work of art, a small group of women recognized the subversive value of handicraft in an age of industrial manufacturing and in an art world dominated by male artists and critics who sought theoretical purity. During her short career, Eva Hesse resituated the ancient question of how to meaningfully represent the human body and unleashed decades of experimentation that continues to this day. Judy Chicago, Linda Benglis, Jackie Windsor, Faith Ringgold, and others used the lowly status of craft and its historical association with female artisans to contrast with “high art.” By focusing of the act of making, on process and craft, these women began the process of fracturing Modernism’s reductive and largely male narratives.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "By the second half of the 20th Century, the avant-garde had an avant-garde of its own. Even as Pop, Minimal and Concept artists renounced the handmade work of art, a small group of women recognized the subversive value of handicraft in an age of industrial manufacturing and in an art world dominated by male artists and critics who sought theoretical purity. During her short career, Eva Hesse resituated the ancient question of how to meaningfully represent the human body and unleashed decades of experimentation that continues to this day. Judy Chicago, Linda Benglis, Jackie Windsor, Faith Ringgold, and others used the lowly status of craft and its historical association with female artisans to contrast with “high art.” By focusing of the act of making, on process and craft, these women began the process of fracturing Modernism’s reductive and largely male narratives.", "x_pos": 0.0, "node_slug": "process-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2233bc2d", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/process-art", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/process-art", "slug": "process-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "298b78304fef9c5deb3e0065b682c16e081bc024", "standalone_title": "Art history: Process art", "y_pos": 0.0, "current_revision_key": "298b78304fef9c5deb3e0065b682c16e081bc024", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/performance-art", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/performance-art", "translated_standalone_title": "Art history: Performance art", "translated_title": "Conceptual art", "gplus_url": "", "id": "xefaf1d60", "old_key_name": "7qi27of8JTiVzw-y3RzFa1DIXXuFqLKV3BcB5M3w", "hide": false, "title": "Conceptual art", "child_data": [{"kind": "Video", "id": 671593320}, {"kind": "Video", "id": "xbcd3d2a0"}, {"kind": "Video", "id": 1064586560}, {"kind": "Video", "id": 1020926923}, {"kind": "Video", "id": "xc91ee09e"}, {"kind": "Exercise", "id": "xa67922b9"}], "children": [{"translated_youtube_id": "4QwfrTNuwE4", "relative_url": "/video/beuys--table-with-accumulator--tisch-mit-aggregat---1958-85", "has_questions": false, "keywords": "Beuys, Tate Modern, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/beuys--table-with-accumulator--tisch-mit-aggregat---1958-85", "duration": 255, "translated_title": "Joseph Beuys, Table with Accumulator", "translated_description_html": "Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "id": "671593320", "description_html": "Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "title": "Joseph Beuys, Table with Accumulator", "progress_key": "v671593320", "edit_slug": "edit/v/671593320", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/table-with-accumulator"}, "node_slug": "v/beuys--table-with-accumulator--tisch-mit-aggregat---1958-85", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4QwfrTNuwE4.mp4/4QwfrTNuwE4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4QwfrTNuwE4.mp4/4QwfrTNuwE4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4QwfrTNuwE4.m3u8/4QwfrTNuwE4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4QwfrTNuwE4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671593320", "sha": "83b96d7000f5cdb01374a54e65c59093aab5fa71", "translated_description": "Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/4QwfrTNuwE4/hqdefault.jpg", "youtube_id": "4QwfrTNuwE4", "content_kind": "Video", "readable_id": "beuys--table-with-accumulator--tisch-mit-aggregat---1958-85"}, {"translated_youtube_id": "gO49s8WlUis", "relative_url": "/video/baldessari--i-will-not-make-any-more-boring-art", "has_questions": false, "keywords": "John Baldessari, Baldessari, contemporary, conceptual, art, semiotics, irony, theory", "ka_url": "http://www.khanacademy.org/video/baldessari--i-will-not-make-any-more-boring-art", "duration": 215, "translated_title": "John Baldessari, I Will Not Make Any More Boring Art", "translated_description_html": "John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images © John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "id": "xbcd3d2a0", "description_html": "John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images © John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "title": "John Baldessari, I Will Not Make Any More Boring Art", "progress_key": "vxbcd3d2a0", "edit_slug": "edit/v/xbcd3d2a0", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images © John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/john-baldessaris-i-will-not-make-any-more-boring-art.html"}, "node_slug": "v/baldessari--i-will-not-make-any-more-boring-art", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-02T03:38:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gO49s8WlUis.mp4/gO49s8WlUis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gO49s8WlUis.mp4/gO49s8WlUis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gO49s8WlUis.m3u8/gO49s8WlUis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gO49s8WlUis&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxbcd3d2a0", "sha": "95a0c499c1430ee8e54be8754304cc57a3007a2f", "translated_description": "John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images © John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", "image_url": "https://img.youtube.com/vi/gO49s8WlUis/hqdefault.jpg", "youtube_id": "gO49s8WlUis", "content_kind": "Video", "readable_id": "baldessari--i-will-not-make-any-more-boring-art"}, {"translated_youtube_id": "sdM6aGhKdTI", "relative_url": "/video/institutional-critique--hans-haacke-s-seurat-s--les-poseuses---small-version---1884-1975--1975", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/institutional-critique--hans-haacke-s-seurat-s--les-poseuses---small-version---1884-1975--1975", "duration": 398, "translated_title": "Hans Haacke, Seurat's 'Les Poseuses' (small version)", "translated_description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke's Seurat's 'Les Poseuses' (small version), 1884-1975 from 1975.<\/p>", "id": "1064586560", "description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke's Seurat's 'Les Poseuses' (small version), 1884-1975 from 1975.<\/p>", "title": "Hans Haacke, Seurat's 'Les Poseuses' (small version)", "progress_key": "v1064586560", "edit_slug": "edit/v/1064586560", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke's Seurat's 'Les Poseuses' (small version), 1884-1975 from 1975.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/institutional-critique-hans-haackes-seurats-les-poseuses"}, "node_slug": "v/institutional-critique--hans-haacke-s-seurat-s--les-poseuses---small-version---1884-1975--1975", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-10-01T18:01:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sdM6aGhKdTI.mp4/sdM6aGhKdTI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sdM6aGhKdTI.mp4/sdM6aGhKdTI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sdM6aGhKdTI.m3u8/sdM6aGhKdTI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sdM6aGhKdTI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1064586560", "sha": "2c6b41f29f316c25efe369df12b35db1baeb1001", "translated_description": "Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke's Seurat's 'Les Poseuses' (small version), 1884-1975 from 1975.", "image_url": "https://img.youtube.com/vi/sdM6aGhKdTI/hqdefault.jpg", "youtube_id": "sdM6aGhKdTI", "content_kind": "Video", "readable_id": "institutional-critique--hans-haacke-s-seurat-s--les-poseuses---small-version---1884-1975--1975"}, {"translated_youtube_id": "uDuzy-t7GDA", "relative_url": "/video/hirst-s-shark--interpreting-contemporary-art", "has_questions": false, "keywords": "Beth Harris, Sal Khan, Steven Zucker, Damien Hirst, sculpture, Shark, contemporary art, art", "ka_url": "http://www.khanacademy.org/video/hirst-s-shark--interpreting-contemporary-art", "duration": 469, "translated_title": "Interpreting contemporary art", "translated_description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "id": "1020926923", "description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "title": "Interpreting contemporary art", "progress_key": "v1020926923", "edit_slug": "edit/v/1020926923", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/hirsts-shark-interpreting-contemporary-art.html"}, "node_slug": "v/hirst-s-shark--interpreting-contemporary-art", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.m3u8/uDuzy-t7GDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uDuzy-t7GDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1020926923", "sha": "d166b35d46f791f94e81a60939d64d9fd654b1ad", "translated_description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "image_url": "https://img.youtube.com/vi/uDuzy-t7GDA/hqdefault.jpg", "youtube_id": "uDuzy-t7GDA", "content_kind": "Video", "readable_id": "hirst-s-shark--interpreting-contemporary-art"}, {"translated_youtube_id": "e-_92MYcANk", "relative_url": "/video/moma-laib-pollen-from-hazelnut", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-laib-pollen-from-hazelnut", "duration": 527, "translated_title": "Wolfgang Laib, \"Pollen from Hazelnut\"", "translated_description_html": "

Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xc91ee09e", "description_html": "

Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Wolfgang Laib, \"Pollen from Hazelnut\"", "progress_key": "vxc91ee09e", "edit_slug": "edit/v/xc91ee09e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-laib-pollen-from-hazelnut", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.mp4/e-_92MYcANk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.mp4/e-_92MYcANk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.m3u8/e-_92MYcANk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e-_92MYcANk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc91ee09e", "sha": "369c2aee67b72aec61c99f91f528c3ebf172e2e1", "translated_description": "Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/e-_92MYcANk/hqdefault.jpg", "youtube_id": "e-_92MYcANk", "content_kind": "Video", "readable_id": "moma-laib-pollen-from-hazelnut"}], "twitter_url": "", "translated_description": "Can art be an enactment? Can the “art” be relocated from the object crafted by an artist to the more ephemeral reaction of the viewer? Must an artist actually “make” a work of art at all? Conceptual artists recognized that when the 19th Century avant-garde broke with the academies and their emphasis on technical execution (the blending color or compositional clarity for example), they were freer to focus on more conceptual issues such as modern urban life, subjectivity, or pictorial language. Fast forward to the second half of the Twentieth Century when intellectual content became the defining characteristic of art and concept fully eclipsed craft. In the 1960 and 70s the art of Beuys, Haacke and others became increasingly conceptual. These artists used found objects, performance, and installation while de-emphasizing the act of “object making.”", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Can art be an enactment? Can the “art” be relocated from the object crafted by an artist to the more ephemeral reaction of the viewer? Must an artist actually “make” a work of art at all? Conceptual artists recognized that when the 19th Century avant-garde broke with the academies and their emphasis on technical execution (the blending color or compositional clarity for example), they were freer to focus on more conceptual issues such as modern urban life, subjectivity, or pictorial language. Fast forward to the second half of the Twentieth Century when intellectual content became the defining characteristic of art and concept fully eclipsed craft. In the 1960 and 70s the art of Beuys, Haacke and others became increasingly conceptual. These artists used found objects, performance, and installation while de-emphasizing the act of “object making.”", "x_pos": 0.0, "node_slug": "performance-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-26T00:18:35Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axefaf1d60", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/performance-art", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/performance-art", "slug": "performance-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "606bb0d533c7f4b07784452dfc49e24d06dd8aa9", "standalone_title": "Art history: Performance art", "y_pos": 0.0, "current_revision_key": "606bb0d533c7f4b07784452dfc49e24d06dd8aa9", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/postmodernism", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/postmodernism", "translated_standalone_title": "Art History: Postmodernism", "translated_title": "Postmodernism", "gplus_url": "", "id": "x4e6180f9", "old_key_name": "r9janEq9eVw-RqKBgKNJJf6ONDQGJNrnoU13an_U", "hide": false, "title": "Postmodernism", "child_data": [{"kind": "Video", "id": 669368701}, {"kind": "Video", "id": 671718113}, {"kind": "Video", "id": 1159673415}, {"kind": "Video", "id": 1020926923}, {"kind": "Video", "id": "x81a562a5"}, {"kind": "Exercise", "id": "x4a76ce2f"}], "children": [{"translated_youtube_id": "FAwTjShZZpI", "relative_url": "/video/colescott--beauty-is-in-the-eye-of-the-beholder--1979", "has_questions": false, "keywords": "Colescott, Smarthistory, Art History", "ka_url": "http://www.khanacademy.org/video/colescott--beauty-is-in-the-eye-of-the-beholder--1979", "duration": 279, "translated_title": "Colescott, Beauty is in the Eye of the Beholder", "translated_description_html": "Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker", "id": "669368701", "description_html": "Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker", "title": "Colescott, Beauty is in the Eye of the Beholder", "progress_key": "v669368701", "edit_slug": "edit/v/669368701", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker", "extra_properties": {"originalUrl": "http://smarthistory.khanacademy.org/colescott"}, "node_slug": "v/colescott--beauty-is-in-the-eye-of-the-beholder--1979", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-03-20T19:13:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FAwTjShZZpI.mp4/FAwTjShZZpI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FAwTjShZZpI.mp4/FAwTjShZZpI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FAwTjShZZpI.m3u8/FAwTjShZZpI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FAwTjShZZpI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v669368701", "sha": "e2eb51d3561feb15cdde851608cbea9283b83085", "translated_description": "Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker", "image_url": "https://img.youtube.com/vi/FAwTjShZZpI/hqdefault.jpg", "youtube_id": "FAwTjShZZpI", "content_kind": "Video", "readable_id": "colescott--beauty-is-in-the-eye-of-the-beholder--1979"}, {"translated_youtube_id": "0fPwsLeH8fA", "relative_url": "/video/cindy-sherman--untitled-film-still--21--1978", "has_questions": false, "keywords": "Art History, Cindy Sherman, Smarthistory, Khan Academy", "ka_url": "http://www.khanacademy.org/video/cindy-sherman--untitled-film-still--21--1978", "duration": 263, "translated_title": "Sherman, Untitled Film Still #21", "translated_description_html": "

Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris<\/p>", "id": "671718113", "description_html": "

Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris<\/p>", "title": "Sherman, Untitled Film Still #21", "progress_key": "v671718113", "edit_slug": "edit/v/671718113", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/cindy-sherman"}, "node_slug": "v/cindy-sherman--untitled-film-still--21--1978", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-20T19:13:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0fPwsLeH8fA.mp4/0fPwsLeH8fA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0fPwsLeH8fA.mp4/0fPwsLeH8fA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0fPwsLeH8fA.m3u8/0fPwsLeH8fA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0fPwsLeH8fA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v671718113", "sha": "953fdafd7926aab7524cc31016d7726af43a66cb", "translated_description": "Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/0fPwsLeH8fA/hqdefault.jpg", "youtube_id": "0fPwsLeH8fA", "content_kind": "Video", "readable_id": "cindy-sherman--untitled-film-still--21--1978"}, {"translated_youtube_id": "9IZhzUDSBTY", "relative_url": "/video/sherrie-levine--untitled--after-edward-weston", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sherrie-levine--untitled--after-edward-weston", "duration": 266, "translated_title": "Sherrie Levine, Untitled (After Edward Weston, ca. 1925)", "translated_description_html": "

Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris<\/p>", "id": "1159673415", "description_html": "

Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris<\/p>", "title": "Sherrie Levine, Untitled (After Edward Weston, ca. 1925)", "progress_key": "v1159673415", "edit_slug": "edit/v/1159673415", "author_names": ["Beth Harris", "Steven Zucker"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/sherrie-levine"}, "node_slug": "v/sherrie-levine--untitled--after-edward-weston", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-19T19:31:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9IZhzUDSBTY.mp4/9IZhzUDSBTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9IZhzUDSBTY.mp4/9IZhzUDSBTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9IZhzUDSBTY.m3u8/9IZhzUDSBTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9IZhzUDSBTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1159673415", "sha": "4a81b8f964b4e1dc2de6afc0bcc9c66a901509e6", "translated_description": "Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris", "image_url": "https://img.youtube.com/vi/9IZhzUDSBTY/hqdefault.jpg", "youtube_id": "9IZhzUDSBTY", "content_kind": "Video", "readable_id": "sherrie-levine--untitled--after-edward-weston"}, {"translated_youtube_id": "uDuzy-t7GDA", "relative_url": "/video/hirst-s-shark--interpreting-contemporary-art", "has_questions": false, "keywords": "Beth Harris, Sal Khan, Steven Zucker, Damien Hirst, sculpture, Shark, contemporary art, art", "ka_url": "http://www.khanacademy.org/video/hirst-s-shark--interpreting-contemporary-art", "duration": 469, "translated_title": "Interpreting contemporary art", "translated_description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "id": "1020926923", "description_html": "

Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.<\/p>", "title": "Interpreting contemporary art", "progress_key": "v1020926923", "edit_slug": "edit/v/1020926923", "author_names": ["Beth Harris", "Steven Zucker", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "extra_properties": {"original_url": "http://smarthistory.khanacademy.org/hirsts-shark-interpreting-contemporary-art.html"}, "node_slug": "v/hirst-s-shark--interpreting-contemporary-art", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-09-04T19:42:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.mp4/uDuzy-t7GDA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uDuzy-t7GDA.m3u8/uDuzy-t7GDA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uDuzy-t7GDA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1020926923", "sha": "d166b35d46f791f94e81a60939d64d9fd654b1ad", "translated_description": "Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, \"The Physical Impossibility of Death in the Mind of Someone Living,\" and issues of interpretation.", "image_url": "https://img.youtube.com/vi/uDuzy-t7GDA/hqdefault.jpg", "youtube_id": "uDuzy-t7GDA", "content_kind": "Video", "readable_id": "hirst-s-shark--interpreting-contemporary-art"}, {"translated_youtube_id": "0T5D04kjvFM", "relative_url": "/video/damien-hirst-cornucopia", "has_questions": false, "keywords": "British Museum", "ka_url": "http://www.khanacademy.org/video/damien-hirst-cornucopia", "duration": 161, "translated_title": "Damien Hirst's Cornucopia at the British Museum", "translated_description_html": "

Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.<\/p>", "id": "x81a562a5", "description_html": "

Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.<\/p>", "title": "Damien Hirst's Cornucopia at the British Museum", "progress_key": "vx81a562a5", "edit_slug": "edit/v/x81a562a5", "author_names": [], "deleted_mod_time": null, "description": "Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.", "extra_properties": {}, "node_slug": "v/damien-hirst-cornucopia", "deleted": false, "backup_timestamp": "2013-10-05T15:02:18Z", "date_added": "2013-10-05T15:02:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0T5D04kjvFM.mp4/0T5D04kjvFM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0T5D04kjvFM.mp4/0T5D04kjvFM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0T5D04kjvFM.m3u8/0T5D04kjvFM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0T5D04kjvFM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx81a562a5", "sha": "7b092cb3483035b435d710bc61d57540a1210f08", "translated_description": "Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.", "image_url": "https://img.youtube.com/vi/0T5D04kjvFM/hqdefault.jpg", "youtube_id": "0T5D04kjvFM", "content_kind": "Video", "readable_id": "damien-hirst-cornucopia"}], "twitter_url": "", "translated_description": "If you’ve done the tutorials on Nineteenth and Twentieth Century art then you likely have an idea that by “Modernism,” art historians are referring to a set of ideas that characterize art and culture after about 1848. Key to understanding Modern art are the ideas of a heroic “avant-garde” that challenges authority and the expression of the individual (one that is invariably white and male). The term “Post-Modernism,” was initially used in the art world in 1979 for architecture that arbitrarily borrowed historical styles with little regard for original meaning or context. The term was quickly and broadly adopted, and came to refer to a strategy to undermine Modernism’s utopian and heroizing tendencies by using multiple yet simultaneous critical perspectives. Post-Modernism was not anti-Modernism, it was instead, an effort to destabilize Modernist narratives with deeply skeptical critical strategies that emphasized the plurality of gender, race, nationality, politics, and economic inequality.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you’ve done the tutorials on Nineteenth and Twentieth Century art then you likely have an idea that by “Modernism,” art historians are referring to a set of ideas that characterize art and culture after about 1848. Key to understanding Modern art are the ideas of a heroic “avant-garde” that challenges authority and the expression of the individual (one that is invariably white and male). The term “Post-Modernism,” was initially used in the art world in 1979 for architecture that arbitrarily borrowed historical styles with little regard for original meaning or context. The term was quickly and broadly adopted, and came to refer to a strategy to undermine Modernism’s utopian and heroizing tendencies by using multiple yet simultaneous critical perspectives. Post-Modernism was not anti-Modernism, it was instead, an effort to destabilize Modernist narratives with deeply skeptical critical strategies that emphasized the plurality of gender, race, nationality, politics, and economic inequality.", "x_pos": 0.0, "node_slug": "postmodernism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4e6180f9", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/postmodernism", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/postmodernism", "slug": "postmodernism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e65e02f61af9ec6009225e638355a1131e3bc824", "standalone_title": "Art History: Postmodernism", "y_pos": 0.0, "current_revision_key": "e65e02f61af9ec6009225e638355a1131e3bc824", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/Performance-art-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/art-history/art-history-1960---age-of-post-colonialism/Performance-art-tutorial", "translated_standalone_title": "New Topic", "translated_title": "Performance art", "gplus_url": "", "id": "x620e8851", "old_key_name": null, "hide": false, "title": "Performance art", "child_data": [{"kind": "Video", "id": "x241aeb29"}, {"kind": "Video", "id": "x2c8e53d6"}, {"kind": "Video", "id": "xa0482a0d"}, {"kind": "Article", "id": "x0b1e181a"}], "children": [{"translated_youtube_id": "smo4OR3Gvq8", "relative_url": "/video/schneemann-on-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/schneemann-on-line", "duration": 167, "translated_title": "Carolee Schneemann, \"Up to and Including Her Limits\" ", "translated_description_html": "

Carolee Schneeman describes her piece Up to and Including Her Limits<\/em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x241aeb29", "description_html": "

Carolee Schneeman describes her piece Up to and Including Her Limits<\/em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Carolee Schneemann, \"Up to and Including Her Limits\" ", "progress_key": "vx241aeb29", "edit_slug": "edit/v/x241aeb29", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Carolee Schneeman describes her piece Up to and Including Her Limits as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/schneemann-on-line", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.mp4/smo4OR3Gvq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.mp4/smo4OR3Gvq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.m3u8/smo4OR3Gvq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=smo4OR3Gvq8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx241aeb29", "sha": "060dd9083f3c57007e4544714ec3e8e0b77f99a3", "translated_description": "Carolee Schneeman describes her piece Up to and Including Her Limits as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/smo4OR3Gvq8/hqdefault.jpg", "youtube_id": "smo4OR3Gvq8", "content_kind": "Video", "readable_id": "schneemann-on-line"}, {"translated_youtube_id": "FcyYynulogY", "relative_url": "/video/moma-abramovic-what-is-performance-art", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-what-is-performance-art", "duration": 116, "translated_title": "Marina Abramović: What is performance art?", "translated_description_html": "

Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x2c8e53d6", "description_html": "

Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: What is performance art?", "progress_key": "vx2c8e53d6", "edit_slug": "edit/v/x2c8e53d6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-what-is-performance-art", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.mp4/FcyYynulogY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.mp4/FcyYynulogY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.m3u8/FcyYynulogY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FcyYynulogY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2c8e53d6", "sha": "fa0bdecc773d4308e8a04883eef9b78f43e068c1", "translated_description": "Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/FcyYynulogY/hqdefault.jpg", "youtube_id": "FcyYynulogY", "content_kind": "Video", "readable_id": "moma-abramovic-what-is-performance-art"}, {"translated_youtube_id": "OUrwdqwzqMU", "relative_url": "/video/moma-abramovic-body-as-a-medium", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-body-as-a-medium", "duration": 100, "translated_title": "Marina Abramović: The Body as medium", "translated_description_html": "

Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xa0482a0d", "description_html": "

Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: The Body as medium", "progress_key": "vxa0482a0d", "edit_slug": "edit/v/xa0482a0d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-body-as-a-medium", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.mp4/OUrwdqwzqMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.mp4/OUrwdqwzqMU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.m3u8/OUrwdqwzqMU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OUrwdqwzqMU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa0482a0d", "sha": "cb37b14d99e9c9cb8b3b7b18a98c8cdb2f02d4d3", "translated_description": "Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/OUrwdqwzqMU/hqdefault.jpg", "youtube_id": "OUrwdqwzqMU", "content_kind": "Video", "readable_id": "moma-abramovic-body-as-a-medium"}], "twitter_url": "", "translated_description": "Art that is enacted outside the traditional boundaries of dance, drama and music.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Art that is enacted outside the traditional boundaries of dance, drama and music.", "x_pos": 0.0, "node_slug": "Performance-art-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-15T07:32:31Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax620e8851", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism/Performance-art-tutorial", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism/Performance-art-tutorial", "slug": "Performance-art-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c1c1e2b73c40cc51b6280a505bd344e4e63f20c9", "standalone_title": "New Topic", "y_pos": 0.0, "current_revision_key": "c1c1e2b73c40cc51b6280a505bd344e4e63f20c9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "By 1960, the unprecedented violence of the first half of the century had ebbed, replaced by the Cold War and threat of nuclear catastrophe. The vacuum left by European powers as they withdrew from their colonies instigated a global power grab as small nations sought autonomy but became proxies in a global strategic confrontation between Western and Soviet or Chinese ideologies. \n\nAt the same time protest movements in the West called for an end to war, racism, and gender inequality. Powerful, entrenched conservative institutions such as the Catholic Church were transformed. The assassinations of John F. Kennedy and Martin Luther King Jr., coupled later with Watergate, created a deep distrust for institutional authority. Artists responded by producing exceptionally thoughtful, original and provocative work that became increasingly global in its perspective.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "By 1960, the unprecedented violence of the first half of the century had ebbed, replaced by the Cold War and threat of nuclear catastrophe. The vacuum left by European powers as they withdrew from their colonies instigated a global power grab as small nations sought autonomy but became proxies in a global strategic confrontation between Western and Soviet or Chinese ideologies. \n\nAt the same time protest movements in the West called for an end to war, racism, and gender inequality. Powerful, entrenched conservative institutions such as the Catholic Church were transformed. The assassinations of John F. Kennedy and Martin Luther King Jr., coupled later with Watergate, created a deep distrust for institutional authority. Artists responded by producing exceptionally thoughtful, original and provocative work that became increasingly global in its perspective.", "x_pos": 0.0, "node_slug": "art-history-1960---age-of-post-colonialism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axde79809d", "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism", "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism", "slug": "art-history-1960---age-of-post-colonialism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dba9313d93bc8658be973355cffde378fda12fed", "standalone_title": "Art History: 1960- Age of Post-Colonialism", "y_pos": 0.0, "current_revision_key": "dba9313d93bc8658be973355cffde378fda12fed", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by \n\nDr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at http://smarthistory.khanacademy.org.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by \n\nDr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at http://smarthistory.khanacademy.org.", "x_pos": 0.0, "node_slug": "art-history", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax15c3149c", "topic_page_url": "/humanities/art-history", "extended_slug": "humanities/art-history", "slug": "art-history", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f4e07111c06f60a29c983160291aa8984ac92c34", "standalone_title": "Art history", "y_pos": 0.0, "current_revision_key": "f4e07111c06f60a29c983160291aa8984ac92c34", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/american-civics-subject", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/american-civics-subject", "translated_standalone_title": "American civics", "translated_title": "American civics", "gplus_url": "", "id": "x5b5703c9", "old_key_name": null, "hide": false, "title": "American civics", "child_data": [{"kind": "Topic", "id": "xd23db0ab"}], "children": [{"icon_src": "", "domain_slug": "humanities", "relative_url": "/humanities/american-civics-subject/american-civics", "web_url": "", "ka_url": "http://www.khanacademy.org/humanities/american-civics-subject/american-civics", "translated_standalone_title": "American civics", "translated_title": "American civics", "gplus_url": "", "id": "xd23db0ab", "old_key_name": "z109Xiabfu_6crLeq9mPjKZyNOEt0IWNKmJjqVgj", "hide": false, "title": "American civics", "child_data": [{"kind": "Video", "id": 887553535}, {"kind": "Video", "id": 1184640213}, {"kind": "Video", "id": 1184595421}, {"kind": "Video", "id": 225139729}, {"kind": "Video", "id": 225139731}, {"kind": "Video", "id": 225139727}, {"kind": "Video", "id": 225139728}, {"kind": "Video", "id": 225139732}, {"kind": "Video", "id": 225139733}, {"kind": "Video", "id": 225139730}, {"kind": "Video", "id": 508919772}, {"kind": "Video", "id": 1163976627}, {"kind": "Video", "id": 1163627770}], "children": [{"translated_youtube_id": "8nW9L7cSop4", "relative_url": "/video/ppaca--or--obamacare", "has_questions": false, "keywords": "PPACA, obamacare, individual, mandate", "ka_url": "http://www.khanacademy.org/video/ppaca--or--obamacare", "duration": 434, "translated_title": "PPACA or \"Obamacare\"", "translated_description_html": "Basic overview of what is sometimes referred to as \"Obamacare\"", "id": "887553535", "description_html": "Basic overview of what is sometimes referred to as \"Obamacare\"", "title": "PPACA or \"Obamacare\"", "progress_key": "v887553535", "edit_slug": "edit/v/887553535", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic overview of what is sometimes referred to as \"Obamacare\"", "extra_properties": null, "node_slug": "v/ppaca--or--obamacare", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-07-05T19:25:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.mp4/8nW9L7cSop4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.mp4/8nW9L7cSop4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8nW9L7cSop4.m3u8/8nW9L7cSop4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8nW9L7cSop4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v887553535", "sha": "ff03f9bf43a4e4ff419b69dfa02b83b80fbbd237", "translated_description": "Basic overview of what is sometimes referred to as \"Obamacare\"", "image_url": "https://img.youtube.com/vi/8nW9L7cSop4/hqdefault.jpg", "youtube_id": "8nW9L7cSop4", "content_kind": "Video", "readable_id": "ppaca--or--obamacare"}, {"translated_youtube_id": "lV3LBiivTxw", "relative_url": "/video/the-fiscal-cliff", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/the-fiscal-cliff", "duration": 722, "translated_title": "The fiscal cliff", "translated_description_html": "Sal compares the possible outcomes of the federal budget negotiations around the \"fiscal cliff.\"", "id": "1184640213", "description_html": "Sal compares the possible outcomes of the federal budget negotiations around the \"fiscal cliff.\"", "title": "The fiscal cliff", "progress_key": "v1184640213", "edit_slug": "edit/v/1184640213", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal compares the possible outcomes of the federal budget negotiations around the \"fiscal cliff.\"", "extra_properties": null, "node_slug": "v/the-fiscal-cliff", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-30T02:13:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lV3LBiivTxw.mp4/lV3LBiivTxw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lV3LBiivTxw.mp4/lV3LBiivTxw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lV3LBiivTxw.m3u8/lV3LBiivTxw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lV3LBiivTxw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1184640213", "sha": "ebbdb8c53b676ac3865fd9619a444f5b7d7d5be2", "translated_description": "Sal compares the possible outcomes of the federal budget negotiations around the \"fiscal cliff.\"", "image_url": "https://img.youtube.com/vi/lV3LBiivTxw/hqdefault.jpg", "youtube_id": "lV3LBiivTxw", "content_kind": "Video", "readable_id": "the-fiscal-cliff"}, {"translated_youtube_id": "QwvJ6z49m-c", "relative_url": "/video/more-fiscal-cliff-analysis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/more-fiscal-cliff-analysis", "duration": 920, "translated_title": "More fiscal cliff analysis", "translated_description_html": "A bit more in-depth analysis when thinking about the fiscal cliff.", "id": "1184595421", "description_html": "A bit more in-depth analysis when thinking about the fiscal cliff.", "title": "More fiscal cliff analysis", "progress_key": "v1184595421", "edit_slug": "edit/v/1184595421", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "A bit more in-depth analysis when thinking about the fiscal cliff.", "extra_properties": null, "node_slug": "v/more-fiscal-cliff-analysis", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2012-11-30T02:16:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QwvJ6z49m-c.mp4/QwvJ6z49m-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QwvJ6z49m-c.mp4/QwvJ6z49m-c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QwvJ6z49m-c.m3u8/QwvJ6z49m-c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QwvJ6z49m-c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1184595421", "sha": "d48bd10ea60c8cbecff669bbcafce3d8084ee5a9", "translated_description": "A bit more in-depth analysis when thinking about the fiscal cliff.", "image_url": "https://img.youtube.com/vi/QwvJ6z49m-c/hqdefault.jpg", "youtube_id": "QwvJ6z49m-c", "content_kind": "Video", "readable_id": "more-fiscal-cliff-analysis"}, {"translated_youtube_id": "oTbvYGH_Hiw", "relative_url": "/video/electoral-college", "has_questions": false, "keywords": "politics, electoral, college", "ka_url": "http://www.khanacademy.org/video/electoral-college", "duration": 670, "translated_title": "Electoral college", "translated_description_html": "How we elect our President in the United States", "id": "225139729", "description_html": "How we elect our President in the United States", "title": "Electoral college", "progress_key": "v225139729", "edit_slug": "edit/v/225139729", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How we elect our President in the United States", "extra_properties": null, "node_slug": "v/electoral-college", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.mp4/oTbvYGH_Hiw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.mp4/oTbvYGH_Hiw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oTbvYGH_Hiw.m3u8/oTbvYGH_Hiw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oTbvYGH_Hiw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139729", "sha": "04fea2c1c722cd17a5fcf111f05a0ab7dfbf96d6", "translated_description": "How we elect our President in the United States", "image_url": "https://img.youtube.com/vi/oTbvYGH_Hiw/hqdefault.jpg", "youtube_id": "oTbvYGH_Hiw", "content_kind": "Video", "readable_id": "electoral-college"}, {"translated_youtube_id": "z_QeYCg4yJ8", "relative_url": "/video/primaries-and-caucuses", "has_questions": false, "keywords": "primary, caucus, politics", "ka_url": "http://www.khanacademy.org/video/primaries-and-caucuses", "duration": 493, "translated_title": "Primaries and caucuses", "translated_description_html": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "id": "225139731", "description_html": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "title": "Primaries and caucuses", "progress_key": "v225139731", "edit_slug": "edit/v/225139731", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "extra_properties": {"originalUrl": ""}, "node_slug": "v/primaries-and-caucuses", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.mp4/z_QeYCg4yJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.mp4/z_QeYCg4yJ8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z_QeYCg4yJ8.m3u8/z_QeYCg4yJ8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z_QeYCg4yJ8&feature=youtube_gdata_player", "ka_user_license": "cc-by-sa", "global_id": "v225139731", "sha": "fcaffa3b080cb6e17c9870cd668df75d62c8a29e", "translated_description": "How states choose their delegates for the national party conventions (video content under CC-BY-SA license)", "image_url": "https://img.youtube.com/vi/z_QeYCg4yJ8/hqdefault.jpg", "youtube_id": "z_QeYCg4yJ8", "content_kind": "Video", "readable_id": "primaries-and-caucuses"}, {"translated_youtube_id": "-05OfTp6ZEE", "relative_url": "/video/deficit-and-debt-ceiling", "has_questions": false, "keywords": "debt, ceiling, finance, deficit, economics", "ka_url": "http://www.khanacademy.org/video/deficit-and-debt-ceiling", "duration": 597, "translated_title": "Deficit and debt ceiling", "translated_description_html": "Basic of the deficit, debt and debt ceiling", "id": "225139727", "description_html": "Basic of the deficit, debt and debt ceiling", "title": "Deficit and debt ceiling", "progress_key": "v225139727", "edit_slug": "edit/v/225139727", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basic of the deficit, debt and debt ceiling", "extra_properties": null, "node_slug": "v/deficit-and-debt-ceiling", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-05OfTp6ZEE.mp4/-05OfTp6ZEE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-05OfTp6ZEE.mp4/-05OfTp6ZEE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-05OfTp6ZEE.m3u8/-05OfTp6ZEE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-05OfTp6ZEE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139727", "sha": "2b9266fc5183e416142eaa2a21307c5a223a37de", "translated_description": "Basic of the deficit, debt and debt ceiling", "image_url": "https://img.youtube.com/vi/-05OfTp6ZEE/hqdefault.jpg", "youtube_id": "-05OfTp6ZEE", "content_kind": "Video", "readable_id": "deficit-and-debt-ceiling"}, {"translated_youtube_id": "LOiw5aBrm4Y", "relative_url": "/video/government-s-financial-condition", "has_questions": false, "keywords": "finance, economics, budget, deficit, debt", "ka_url": "http://www.khanacademy.org/video/government-s-financial-condition", "duration": 632, "translated_title": "Government's financial condition", "translated_description_html": "Difference between debt and operating costs. Seeing how large obligations are for social security and medicare", "id": "225139728", "description_html": "Difference between debt and operating costs. Seeing how large obligations are for social security and medicare", "title": "Government's financial condition", "progress_key": "v225139728", "edit_slug": "edit/v/225139728", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Difference between debt and operating costs. Seeing how large obligations are for social security and medicare", "extra_properties": null, "node_slug": "v/government-s-financial-condition", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.m3u8/LOiw5aBrm4Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LOiw5aBrm4Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139728", "sha": "ae1d0b7ad64e42151e7c474cbc7bd6a8bdc186f1", "translated_description": "Difference between debt and operating costs. Seeing how large obligations are for social security and medicare", "image_url": "https://img.youtube.com/vi/LOiw5aBrm4Y/hqdefault.jpg", "youtube_id": "LOiw5aBrm4Y", "content_kind": "Video", "readable_id": "government-s-financial-condition"}, {"translated_youtube_id": "gLHUCUv1e5Y", "relative_url": "/video/social-security-intro", "has_questions": false, "keywords": "united, states, debt, deficit, budget, OASDI, trust", "ka_url": "http://www.khanacademy.org/video/social-security-intro", "duration": 389, "translated_title": "Social security intro", "translated_description_html": "Basics on how social security works", "id": "225139732", "description_html": "Basics on how social security works", "title": "Social security intro", "progress_key": "v225139732", "edit_slug": "edit/v/225139732", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Basics on how social security works", "extra_properties": null, "node_slug": "v/social-security-intro", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gLHUCUv1e5Y.mp4/gLHUCUv1e5Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gLHUCUv1e5Y.mp4/gLHUCUv1e5Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gLHUCUv1e5Y.m3u8/gLHUCUv1e5Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gLHUCUv1e5Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139732", "sha": "15a8be2e666544bd1f80b509204a495db94d2e6b", "translated_description": "Basics on how social security works", "image_url": "https://img.youtube.com/vi/gLHUCUv1e5Y/hqdefault.jpg", "youtube_id": "gLHUCUv1e5Y", "content_kind": "Video", "readable_id": "social-security-intro"}, {"translated_youtube_id": "UP9xy2eVj7s", "relative_url": "/video/fica-tax", "has_questions": false, "keywords": "FICA, federal, insurance, contributions, act", "ka_url": "http://www.khanacademy.org/video/fica-tax", "duration": 450, "translated_title": "FICA tax", "translated_description_html": "How the FICA tax is calculated and what it stands for", "id": "225139733", "description_html": "How the FICA tax is calculated and what it stands for", "title": "FICA tax", "progress_key": "v225139733", "edit_slug": "edit/v/225139733", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the FICA tax is calculated and what it stands for", "extra_properties": null, "node_slug": "v/fica-tax", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UP9xy2eVj7s.mp4/UP9xy2eVj7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UP9xy2eVj7s.mp4/UP9xy2eVj7s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UP9xy2eVj7s.m3u8/UP9xy2eVj7s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UP9xy2eVj7s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139733", "sha": "4869f924d9a392969d161cc3e0b7a9277210c9a5", "translated_description": "How the FICA tax is calculated and what it stands for", "image_url": "https://img.youtube.com/vi/UP9xy2eVj7s/hqdefault.jpg", "youtube_id": "UP9xy2eVj7s", "content_kind": "Video", "readable_id": "fica-tax"}, {"translated_youtube_id": "o1Y0G8Z67iU", "relative_url": "/video/medicare-sustainability", "has_questions": false, "keywords": "medicare, social, security, medicaid", "ka_url": "http://www.khanacademy.org/video/medicare-sustainability", "duration": 472, "translated_title": "Medicare sustainability", "translated_description_html": "How medicare is funded and why it is even less sustainable than social security", "id": "225139730", "description_html": "How medicare is funded and why it is even less sustainable than social security", "title": "Medicare sustainability", "progress_key": "v225139730", "edit_slug": "edit/v/225139730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How medicare is funded and why it is even less sustainable than social security", "extra_properties": null, "node_slug": "v/medicare-sustainability", "deleted": false, "backup_timestamp": "2013-09-26T00:18:35Z", "date_added": "2011-09-02T10:02:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/o1Y0G8Z67iU.mp4/o1Y0G8Z67iU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o1Y0G8Z67iU.mp4/o1Y0G8Z67iU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o1Y0G8Z67iU.m3u8/o1Y0G8Z67iU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=o1Y0G8Z67iU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v225139730", "sha": "399df8ea5be050aa834fb359dbc825dc267930ea", "translated_description": "How medicare is funded and why it is even less sustainable than social security", "image_url": "https://img.youtube.com/vi/o1Y0G8Z67iU/hqdefault.jpg", "youtube_id": "o1Y0G8Z67iU", "content_kind": "Video", "readable_id": "medicare-sustainability"}, {"translated_youtube_id": "tzqMoOk9NWc", "relative_url": "/video/sopa-and-pipa", "has_questions": false, "keywords": "privacy, liberty, piracy, sopa, pipa, marquee", "ka_url": "http://www.khanacademy.org/video/sopa-and-pipa", "duration": 675, "translated_title": "SOPA and PIPA", "translated_description_html": "What SOPA and PIPA are at face value and what they could end up enabling", "id": "508919772", "description_html": "What SOPA and PIPA are at face value and what they could end up enabling", "title": "SOPA and PIPA", "progress_key": "v508919772", "edit_slug": "edit/v/508919772", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What SOPA and PIPA are at face value and what they could end up enabling", "extra_properties": null, "node_slug": "v/sopa-and-pipa", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-01-18T21:23:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tzqMoOk9NWc.mp4/tzqMoOk9NWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tzqMoOk9NWc.mp4/tzqMoOk9NWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tzqMoOk9NWc.m3u8/tzqMoOk9NWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tzqMoOk9NWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v508919772", "sha": "cf06854b16bbd21dafd067d5d8f4889dbd44dc6d", "translated_description": "What SOPA and PIPA are at face value and what they could end up enabling", "image_url": "https://img.youtube.com/vi/tzqMoOk9NWc/hqdefault.jpg", "youtube_id": "tzqMoOk9NWc", "content_kind": "Video", "readable_id": "sopa-and-pipa"}, {"translated_youtube_id": "qBYa_QOWuaE", "relative_url": "/video/pension-obligations", "has_questions": false, "keywords": "pension, underfunded, defined benefit, defined contribution, marquee", "ka_url": "http://www.khanacademy.org/video/pension-obligations", "duration": 607, "translated_title": "Pension obligations", "translated_description_html": "Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded", "id": "1163976627", "description_html": "Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded", "title": "Pension obligations", "progress_key": "v1163976627", "edit_slug": "edit/v/1163976627", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded", "extra_properties": null, "node_slug": "v/pension-obligations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-11-21T18:48:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.mp4/qBYa_QOWuaE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.mp4/qBYa_QOWuaE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.m3u8/qBYa_QOWuaE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qBYa_QOWuaE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1163976627", "sha": "1ce0dd50ffb29eed007bbd512fb491aaacbd2fe1", "translated_description": "Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded", "image_url": "https://img.youtube.com/vi/qBYa_QOWuaE/hqdefault.jpg", "youtube_id": "qBYa_QOWuaE", "content_kind": "Video", "readable_id": "pension-obligations"}, {"translated_youtube_id": "Tczu_dvVuuk", "relative_url": "/video/illinois-pension-obligations", "has_questions": false, "keywords": "pension, obligrations, unfunded, defined benefit plan,", "ka_url": "http://www.khanacademy.org/video/illinois-pension-obligations", "duration": 450, "translated_title": "Illinois pension obligations", "translated_description_html": "Using Illinois as an example of what happens when pension obligations are underfunded.", "id": "1163627770", "description_html": "Using Illinois as an example of what happens when pension obligations are underfunded.", "title": "Illinois pension obligations", "progress_key": "v1163627770", "edit_slug": "edit/v/1163627770", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Using Illinois as an example of what happens when pension obligations are underfunded.", "extra_properties": null, "node_slug": "v/illinois-pension-obligations", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-11-21T18:46:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tczu_dvVuuk.mp4/Tczu_dvVuuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tczu_dvVuuk.mp4/Tczu_dvVuuk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tczu_dvVuuk.m3u8/Tczu_dvVuuk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tczu_dvVuuk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1163627770", "sha": "53ea2a668c05c905713d64b5604e6e38e4ea0ca2", "translated_description": "Using Illinois as an example of what happens when pension obligations are underfunded.", "image_url": "https://img.youtube.com/vi/Tczu_dvVuuk/hqdefault.jpg", "youtube_id": "Tczu_dvVuuk", "content_kind": "Video", "readable_id": "illinois-pension-obligations"}], "twitter_url": "", "translated_description": "Videos about how government works in the United States.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Videos about how government works in the United States.", "x_pos": 0.0, "node_slug": "american-civics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-23T18:42:23Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd23db0ab", "topic_page_url": "/humanities/american-civics-subject/american-civics", "extended_slug": "humanities/american-civics-subject/american-civics", "slug": "american-civics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7f48d518434bd2d288513bcc8b5a2d1768fd9b59", "standalone_title": "American civics", "y_pos": 0.0, "current_revision_key": "7f48d518434bd2d288513bcc8b5a2d1768fd9b59", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Videos about how government works in the United States.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Videos about how government works in the United States.", "x_pos": 0.0, "node_slug": "american-civics-subject", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T02:24:02Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5b5703c9", "topic_page_url": "/humanities/american-civics-subject", "extended_slug": "humanities/american-civics-subject", "slug": "american-civics-subject", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "e07c35fc108f46a5712ffece3a481a9933218ccf", "standalone_title": "American civics", "y_pos": 0.0, "current_revision_key": "e07c35fc108f46a5712ffece3a481a9933218ccf", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "humanities", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-01T18:41:36Z", "render_type": "Domain", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax905db83d", "topic_page_url": null, "extended_slug": "humanities", "slug": "humanities", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "aab1b12b53e45134b67e4adf79070f04323f1605", "standalone_title": "Humanities", "y_pos": 0.0, "current_revision_key": "aab1b12b53e45134b67e4adf79070f04323f1605", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": null, "web_url": "", "ka_url": "http://www.khanacademy.orgNone", "translated_standalone_title": "Partner content", "translated_title": "Partner content", "gplus_url": "", "id": "x54390c7e", "old_key_name": null, "hide": false, "title": "Partner content", "child_data": [{"kind": "Topic", "id": "xeb48c24e"}, {"kind": "Topic", "id": "xd45c6cf9"}, {"kind": "Topic", "id": "xbb5b204c"}, {"kind": "Topic", "id": "x0540a26a"}, {"kind": "Topic", "id": "xf3c15d4e"}, {"kind": "Topic", "id": "x1b441846"}, {"kind": "Topic", "id": "x5d2ce072"}, {"kind": "Topic", "id": "xc579d153"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA", "web_url": "http://www.moma.org", "ka_url": "http://www.khanacademy.org/partner-content/MoMA", "translated_standalone_title": "The Museum of Modern Art", "translated_title": "The Museum of Modern Art", "gplus_url": "", "id": "xeb48c24e", "old_key_name": null, "hide": false, "title": "The Museum of Modern Art", "child_data": [{"kind": "Topic", "id": "x58ae8a82"}, {"kind": "Topic", "id": "xd7054342"}, {"kind": "Topic", "id": "xa423b5ae"}, {"kind": "Topic", "id": "x4c66ac5f"}, {"kind": "Topic", "id": "x7f8b142e"}, {"kind": "Topic", "id": "xc67dfcef"}, {"kind": "Topic", "id": "xb2ca8dac"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/moma-printmaking", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/moma-printmaking", "translated_standalone_title": "Printmaking", "translated_title": "Printmaking", "gplus_url": "", "id": "x58ae8a82", "old_key_name": null, "hide": false, "title": "Printmaking", "child_data": [{"kind": "Video", "id": "x1bec64c9"}, {"kind": "Video", "id": "xc00f8154"}, {"kind": "Video", "id": "x7b3f8943"}, {"kind": "Video", "id": "x82aec1aa"}, {"kind": "Video", "id": "x5ece2d25"}, {"kind": "Video", "id": "xcecc0a45"}, {"kind": "Video", "id": "xee2d1bbb"}], "children": [{"translated_youtube_id": "-BYHn5Vum_A", "relative_url": "/video/moma-printmaking-01", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-printmaking-01", "duration": 109, "translated_title": "Introduction to printmaking", "translated_description_html": "

Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>\n", "id": "x1bec64c9", "description_html": "

Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>\n", "title": "Introduction to printmaking", "progress_key": "vx1bec64c9", "edit_slug": "edit/v/x1bec64c9", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/moma-printmaking-01", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.mp4/-BYHn5Vum_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.mp4/-BYHn5Vum_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-BYHn5Vum_A.m3u8/-BYHn5Vum_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-BYHn5Vum_A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1bec64c9", "sha": "7f5071fc6ce8c9359785c49d89803556c9337565", "translated_description": "Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.\n", "image_url": "https://img.youtube.com/vi/-BYHn5Vum_A/hqdefault.jpg", "youtube_id": "-BYHn5Vum_A", "content_kind": "Video", "readable_id": "moma-printmaking-01"}, {"translated_youtube_id": "lR8yK_aKb2Q", "relative_url": "/video/MOMA-relief-printmaking", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MOMA-relief-printmaking", "duration": 110, "translated_title": "Introduction to relief printmaking", "translated_description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "xc00f8154", "description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Introduction to relief printmaking", "progress_key": "vxc00f8154", "edit_slug": "edit/v/xc00f8154", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/MOMA-relief-printmaking", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.mp4/lR8yK_aKb2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.mp4/lR8yK_aKb2Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lR8yK_aKb2Q.m3u8/lR8yK_aKb2Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lR8yK_aKb2Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc00f8154", "sha": "86fa8af08d6e0895837fcb0c2a2918410b22ad04", "translated_description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/lR8yK_aKb2Q/hqdefault.jpg", "youtube_id": "lR8yK_aKb2Q", "content_kind": "Video", "readable_id": "MOMA-relief-printmaking"}, {"translated_youtube_id": "Bjymxow3TVQ", "relative_url": "/video/moma-relief-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-relief-process", "duration": 412, "translated_title": "Relief process", "translated_description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x7b3f8943", "description_html": "

Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Relief process", "progress_key": "vx7b3f8943", "edit_slug": "edit/v/x7b3f8943", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-relief-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.mp4/Bjymxow3TVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.mp4/Bjymxow3TVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bjymxow3TVQ.m3u8/Bjymxow3TVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bjymxow3TVQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7b3f8943", "sha": "5d88c4cc7a247b8ac77e1d55ee98d3208f0bf52c", "translated_description": "Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/Bjymxow3TVQ/hqdefault.jpg", "youtube_id": "Bjymxow3TVQ", "content_kind": "Video", "readable_id": "moma-relief-process"}, {"translated_youtube_id": "4Q2oqG6S4Mk", "relative_url": "/video/moma-intro-to-intaglio", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intro-to-intaglio", "duration": 95, "translated_title": "Introduction to intaglio", "translated_description_html": "

What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x82aec1aa", "description_html": "

What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Introduction to intaglio", "progress_key": "vx82aec1aa", "edit_slug": "edit/v/x82aec1aa", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-intro-to-intaglio", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.mp4/4Q2oqG6S4Mk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.mp4/4Q2oqG6S4Mk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Q2oqG6S4Mk.m3u8/4Q2oqG6S4Mk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4Q2oqG6S4Mk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx82aec1aa", "sha": "e5ed2e1c42907b8a9f582de3b0d85c453d64d049", "translated_description": "What's the difference between etching and drypoint? Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/4Q2oqG6S4Mk/hqdefault.jpg", "youtube_id": "4Q2oqG6S4Mk", "content_kind": "Video", "readable_id": "moma-intro-to-intaglio"}, {"translated_youtube_id": "VRwWJyy24So", "relative_url": "/video/moma-intaglio-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intaglio-process", "duration": 305, "translated_title": "Intaglio process", "translated_description_html": "

Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "id": "x5ece2d25", "description_html": "

Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list<\/a> of offerings including online courses on collage and painting techniques.<\/p>", "title": "Intaglio process", "progress_key": "vx5ece2d25", "edit_slug": "edit/v/x5ece2d25", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "extra_properties": {}, "node_slug": "v/moma-intaglio-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.mp4/VRwWJyy24So.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.mp4/VRwWJyy24So.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VRwWJyy24So.m3u8/VRwWJyy24So.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VRwWJyy24So&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5ece2d25", "sha": "3b3fcba1c9e34bff9c1f8183c04f948c83a87499", "translated_description": "Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the list of offerings including online courses on collage and painting techniques.", "image_url": "https://img.youtube.com/vi/VRwWJyy24So/hqdefault.jpg", "youtube_id": "VRwWJyy24So", "content_kind": "Video", "readable_id": "moma-intaglio-process"}, {"translated_youtube_id": "G-PFEbQ5UGc", "relative_url": "/video/moma-intro-to-lithography", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-intro-to-lithography", "duration": 130, "translated_title": "Introduction to lithography", "translated_description_html": "

Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "id": "xcecc0a45", "description_html": "

Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "title": "Introduction to lithography", "progress_key": "vxcecc0a45", "edit_slug": "edit/v/xcecc0a45", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "extra_properties": {}, "node_slug": "v/moma-intro-to-lithography", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.mp4/G-PFEbQ5UGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.mp4/G-PFEbQ5UGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/G-PFEbQ5UGc.m3u8/G-PFEbQ5UGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=G-PFEbQ5UGc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcecc0a45", "sha": "64e527b86b1f1f00983d2916cd08ef09a4b76ed4", "translated_description": "Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "image_url": "https://img.youtube.com/vi/G-PFEbQ5UGc/hqdefault.jpg", "youtube_id": "G-PFEbQ5UGc", "content_kind": "Video", "readable_id": "moma-intro-to-lithography"}, {"translated_youtube_id": "nUXDltQfqSA", "relative_url": "/video/moma-lithography-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-lithography-process", "duration": 426, "translated_title": "Lithography process", "translated_description_html": "

Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "id": "xee2d1bbb", "description_html": "

Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list<\/a> of online course offerings.<\/p>", "title": "Lithography process", "progress_key": "vxee2d1bbb", "edit_slug": "edit/v/xee2d1bbb", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "extra_properties": {}, "node_slug": "v/moma-lithography-process", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.mp4/nUXDltQfqSA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.mp4/nUXDltQfqSA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nUXDltQfqSA.m3u8/nUXDltQfqSA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nUXDltQfqSA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxee2d1bbb", "sha": "55bdd627832b9468f54f6c0e89be00ec5b272570", "translated_description": "Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the list of online course offerings.", "image_url": "https://img.youtube.com/vi/nUXDltQfqSA/hqdefault.jpg", "youtube_id": "nUXDltQfqSA", "content_kind": "Video", "readable_id": "moma-lithography-process"}], "twitter_url": "", "translated_description": "Artists have used printmaking to create some of their most profound and compelling works of art, yet the basic printmaking techniques remain a mystery to most people. These videos demonstrate three key printmaking processes—relief, intaglio, and lithography. They include prints from the Museum's collection to demonstrate the range of expressive effects associated with each technique.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Artists have used printmaking to create some of their most profound and compelling works of art, yet the basic printmaking techniques remain a mystery to most people. These videos demonstrate three key printmaking processes—relief, intaglio, and lithography. They include prints from the Museum's collection to demonstrate the range of expressive effects associated with each technique.", "x_pos": 0.0, "node_slug": "moma-printmaking", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:23Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax58ae8a82", "topic_page_url": "/partner-content/MoMA/moma-printmaking", "extended_slug": "partner-content/MoMA/moma-printmaking", "slug": "moma-printmaking", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "28943c84ad44571056ef5229f724c5258d8981bc", "standalone_title": "Printmaking", "y_pos": 0.0, "current_revision_key": "28943c84ad44571056ef5229f724c5258d8981bc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/moma-1913-centennial-celebration", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/moma-1913-centennial-celebration", "translated_standalone_title": "1913 Centennial Celebration", "translated_title": "1913 Centennial Celebration", "gplus_url": "", "id": "xd7054342", "old_key_name": null, "hide": false, "title": "1913 Centennial Celebration", "child_data": [{"kind": "Video", "id": "x0cddd7f0"}, {"kind": "Video", "id": "x9b526c4a"}, {"kind": "Video", "id": "x00b1846c"}, {"kind": "Video", "id": "x3cccb7fa"}, {"kind": "Video", "id": "xd3466b44"}, {"kind": "Video", "id": "xff4b5d9e"}, {"kind": "Video", "id": "xf8f04cb4"}, {"kind": "Video", "id": "xbf93abfb"}, {"kind": "Video", "id": "x305a7f04"}, {"kind": "Video", "id": "x56cc9e0e"}, {"kind": "Video", "id": "xa5cfd029"}, {"kind": "Video", "id": "xf86a9a54"}, {"kind": "Video", "id": "x1a0d575a"}, {"kind": "Video", "id": "xb4cd8334"}, {"kind": "Video", "id": "x4de19d37"}, {"kind": "Video", "id": "xd6b0de12"}, {"kind": "Video", "id": "xc8719cf6"}], "children": [{"translated_youtube_id": "-jXFckR2yoY", "relative_url": "/video/MoMA-Picasso-GlassGuitarBottle", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Picasso-GlassGuitarBottle", "duration": 129, "translated_title": "Pablo Picasso, \"Guitar, Glass, and Bottle\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "id": "x0cddd7f0", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "title": "Pablo Picasso, \"Guitar, Glass, and Bottle\"", "progress_key": "vx0cddd7f0", "edit_slug": "edit/v/x0cddd7f0", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945.", "extra_properties": {}, "node_slug": "v/MoMA-Picasso-GlassGuitarBottle", "deleted": false, "backup_timestamp": "2013-10-19T22:09:33Z", "date_added": "2013-10-19T22:09:33Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.mp4/-jXFckR2yoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.mp4/-jXFckR2yoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-jXFckR2yoY.m3u8/-jXFckR2yoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-jXFckR2yoY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0cddd7f0", "sha": "9fdd66d6dcf2f69015573fa36b6a1734789f87ec", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945.", "image_url": "https://img.youtube.com/vi/-jXFckR2yoY/hqdefault.jpg", "youtube_id": "-jXFckR2yoY", "content_kind": "Video", "readable_id": "MoMA-Picasso-GlassGuitarBottle"}, {"translated_youtube_id": "GLEJgVSL0Ac", "relative_url": "/video/dynamism-soccer-player-boccioni", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dynamism-soccer-player-boccioni", "duration": 100, "translated_title": "Umberto Boccioni, \"Dynamism of a Soccer Player\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "id": "x9b526c4a", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "title": "Umberto Boccioni, \"Dynamism of a Soccer Player\"", "progress_key": "vx9b526c4a", "edit_slug": "edit/v/x9b526c4a", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/dynamism-soccer-player-boccioni", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.mp4/GLEJgVSL0Ac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.mp4/GLEJgVSL0Ac.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GLEJgVSL0Ac.m3u8/GLEJgVSL0Ac.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GLEJgVSL0Ac&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9b526c4a", "sha": "2caff163426ffd07713441107f528eab8715a129", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/GLEJgVSL0Ac/hqdefault.jpg", "youtube_id": "GLEJgVSL0Ac", "content_kind": "Video", "readable_id": "dynamism-soccer-player-boccioni"}, {"translated_youtube_id": "RaeSwi80g3Q", "relative_url": "/video/MoMA-Tiffany-Vase", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Tiffany-Vase", "duration": 122, "translated_title": "Louis Comfort Tiffany, Vase", "translated_description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "id": "x00b1846c", "description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "title": "Louis Comfort Tiffany, Vase", "progress_key": "vx00b1846c", "edit_slug": "edit/v/x00b1846c", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/MoMA-Tiffany-Vase", "deleted": false, "backup_timestamp": "2013-10-19T21:14:22Z", "date_added": "2013-10-19T21:14:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RaeSwi80g3Q.mp4/RaeSwi80g3Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RaeSwi80g3Q.mp4/RaeSwi80g3Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RaeSwi80g3Q.m3u8/RaeSwi80g3Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RaeSwi80g3Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx00b1846c", "sha": "29349ae36d14066f8c51ebc0d19eb5dfacccf917", "translated_description": "For more information please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/RaeSwi80g3Q/hqdefault.jpg", "youtube_id": "RaeSwi80g3Q", "content_kind": "Video", "readable_id": "MoMA-Tiffany-Vase"}, {"translated_youtube_id": "WdPMdGUeYGk", "relative_url": "/video/Kandinsky-Sounds", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Kandinsky-Sounds", "duration": 133, "translated_title": "Vasily Kandinsky, \"Klänge (Sounds)\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "id": "x3cccb7fa", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "title": "Vasily Kandinsky, \"Klänge (Sounds)\"", "progress_key": "vx3cccb7fa", "edit_slug": "edit/v/x3cccb7fa", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/Kandinsky-Sounds", "deleted": false, "backup_timestamp": "2013-10-19T20:26:02Z", "date_added": "2013-10-19T20:26:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WdPMdGUeYGk.mp4/WdPMdGUeYGk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WdPMdGUeYGk.mp4/WdPMdGUeYGk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WdPMdGUeYGk.m3u8/WdPMdGUeYGk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WdPMdGUeYGk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3cccb7fa", "sha": "8b8b07c2ef676fd8e473c7f9b22bfb83e62b5e25", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/WdPMdGUeYGk/hqdefault.jpg", "youtube_id": "WdPMdGUeYGk", "content_kind": "Video", "readable_id": "Kandinsky-Sounds"}, {"translated_youtube_id": "iKGCnjBi2sQ", "relative_url": "/video/moma-contrast-of-forms", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-contrast-of-forms", "duration": 140, "translated_title": "Fernand Léger, \"Contrast of Forms\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "id": "xd3466b44", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "title": "Fernand Léger, \"Contrast of Forms\"", "progress_key": "vxd3466b44", "edit_slug": "edit/v/xd3466b44", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "extra_properties": {}, "node_slug": "v/moma-contrast-of-forms", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.mp4/iKGCnjBi2sQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.mp4/iKGCnjBi2sQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iKGCnjBi2sQ.m3u8/iKGCnjBi2sQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iKGCnjBi2sQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd3466b44", "sha": "e76ff309e160c7a79e10522955e1e20cc80b65ca", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "image_url": "https://img.youtube.com/vi/iKGCnjBi2sQ/hqdefault.jpg", "youtube_id": "iKGCnjBi2sQ", "content_kind": "Video", "readable_id": "moma-contrast-of-forms"}, {"translated_youtube_id": "ARysRxZJmaA", "relative_url": "/video/MoMA-WeberSmalley-Suspense", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-WeberSmalley-Suspense", "duration": 163, "translated_title": "Lois Weber and Phillips Smalley, \"Suspense\"", "translated_description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "id": "xff4b5d9e", "description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "title": "Lois Weber and Phillips Smalley, \"Suspense\"", "progress_key": "vxff4b5d9e", "edit_slug": "edit/v/xff4b5d9e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/MoMA-WeberSmalley-Suspense", "deleted": false, "backup_timestamp": "2013-10-19T21:40:42Z", "date_added": "2013-10-19T21:40:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ARysRxZJmaA.mp4/ARysRxZJmaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ARysRxZJmaA.mp4/ARysRxZJmaA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ARysRxZJmaA.m3u8/ARysRxZJmaA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ARysRxZJmaA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxff4b5d9e", "sha": "17d51aab1d8463852a1ffdf8d3e3ebba94cf5800", "translated_description": "For more information please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/ARysRxZJmaA/hqdefault.jpg", "youtube_id": "ARysRxZJmaA", "content_kind": "Video", "readable_id": "MoMA-WeberSmalley-Suspense"}, {"translated_youtube_id": "NhllG85qiwg", "relative_url": "/video/MoMA-deChirico-AnxiousJourney", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-deChirico-AnxiousJourney", "duration": 159, "translated_title": "Giorgio de Chirico, \"The Anxious Journey\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "id": "xf8f04cb4", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "title": "Giorgio de Chirico, \"The Anxious Journey\"", "progress_key": "vxf8f04cb4", "edit_slug": "edit/v/xf8f04cb4", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-deChirico-AnxiousJourney", "deleted": false, "backup_timestamp": "2013-10-19T21:20:48Z", "date_added": "2013-10-19T21:20:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.mp4/NhllG85qiwg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.mp4/NhllG85qiwg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NhllG85qiwg.m3u8/NhllG85qiwg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NhllG85qiwg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf8f04cb4", "sha": "8fcc46d670cdd64a2b369d1833784abaed1c4676", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/NhllG85qiwg/hqdefault.jpg", "youtube_id": "NhllG85qiwg", "content_kind": "Video", "readable_id": "MoMA-deChirico-AnxiousJourney"}, {"translated_youtube_id": "26_SmkN7M_Y", "relative_url": "/video/MoMA-Rozanova-DucksNest", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Rozanova-DucksNest", "duration": 152, "translated_title": "Olga Rozanova, \"A Little Duck's Nest... of Bad Words\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "id": "xbf93abfb", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/p>", "title": "Olga Rozanova, \"A Little Duck's Nest... of Bad Words\"", "progress_key": "vxbf93abfb", "edit_slug": "edit/v/xbf93abfb", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-Rozanova-DucksNest", "deleted": false, "backup_timestamp": "2013-10-19T20:58:58Z", "date_added": "2013-10-19T20:58:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/26_SmkN7M_Y.mp4/26_SmkN7M_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/26_SmkN7M_Y.mp4/26_SmkN7M_Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/26_SmkN7M_Y.m3u8/26_SmkN7M_Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=26_SmkN7M_Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbf93abfb", "sha": "a1decaaff251caa0f9feecd5b22711135865ff5e", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/26_SmkN7M_Y/hqdefault.jpg", "youtube_id": "26_SmkN7M_Y", "content_kind": "Video", "readable_id": "MoMA-Rozanova-DucksNest"}, {"translated_youtube_id": "hqynp3DH9NU", "relative_url": "/video/moma-costume-design-ballet-the-firebird", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-costume-design-ballet-the-firebird", "duration": 154, "translated_title": "Léon Bakst, \"Costume design for the ballet The Firebird\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "id": "x305a7f04", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art. <\/a><\/span><\/p>", "title": "Léon Bakst, \"Costume design for the ballet The Firebird\"", "progress_key": "vx305a7f04", "edit_slug": "edit/v/x305a7f04", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "extra_properties": {}, "node_slug": "v/moma-costume-design-ballet-the-firebird", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.mp4/hqynp3DH9NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.mp4/hqynp3DH9NU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hqynp3DH9NU.m3u8/hqynp3DH9NU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hqynp3DH9NU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx305a7f04", "sha": "9d1ae06818862b8ce9fc1b97f6124e6ff83e9049", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art. ", "image_url": "https://img.youtube.com/vi/hqynp3DH9NU/hqdefault.jpg", "youtube_id": "hqynp3DH9NU", "content_kind": "Video", "readable_id": "moma-costume-design-ballet-the-firebird"}, {"translated_youtube_id": "T6G0ewxKkCQ", "relative_url": "/video/MoMA-Brancusi-Pogany", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Brancusi-Pogany", "duration": 121, "translated_title": "Constantin Brancusi, \"Mlle Pogany\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "id": "x56cc9e0e", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a>.<\/p>", "title": "Constantin Brancusi, \"Mlle Pogany\"", "progress_key": "vx56cc9e0e", "edit_slug": "edit/v/x56cc9e0e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945.", "extra_properties": {}, "node_slug": "v/MoMA-Brancusi-Pogany", "deleted": false, "backup_timestamp": "2013-10-19T21:31:12Z", "date_added": "2013-10-19T21:31:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.mp4/T6G0ewxKkCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.mp4/T6G0ewxKkCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T6G0ewxKkCQ.m3u8/T6G0ewxKkCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T6G0ewxKkCQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx56cc9e0e", "sha": "b66d13ecd69dbe452bd2b9fd7e82cc3c19bdf083", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945.", "image_url": "https://img.youtube.com/vi/T6G0ewxKkCQ/hqdefault.jpg", "youtube_id": "T6G0ewxKkCQ", "content_kind": "Video", "readable_id": "MoMA-Brancusi-Pogany"}, {"translated_youtube_id": "PkzACPGZcVk", "relative_url": "/video/moma-simultaneous-contrasts-sun-moon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-simultaneous-contrasts-sun-moon", "duration": 121, "translated_title": "Robert Delaunay, \"Simultaneous Contrasts: Sun and Moon\"", "translated_description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "id": "xa5cfd029", "description_html": "

To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art<\/a>.<\/span><\/p>", "title": "Robert Delaunay, \"Simultaneous Contrasts: Sun and Moon\"", "progress_key": "vxa5cfd029", "edit_slug": "edit/v/xa5cfd029", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/moma-simultaneous-contrasts-sun-moon", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.mp4/PkzACPGZcVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.mp4/PkzACPGZcVk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PkzACPGZcVk.m3u8/PkzACPGZcVk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PkzACPGZcVk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa5cfd029", "sha": "266c98618bedca7bac2f329557dccfa9f82c310b", "translated_description": "To learn more about how abstract artists became the radical thinkers of their time, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/PkzACPGZcVk/hqdefault.jpg", "youtube_id": "PkzACPGZcVk", "content_kind": "Video", "readable_id": "moma-simultaneous-contrasts-sun-moon"}, {"translated_youtube_id": "UWMNAdXEDlM", "relative_url": "/video/ Griffith-Mothering-Heart", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ Griffith-Mothering-Heart", "duration": 121, "translated_title": "D. W. Griffith, \"The Mothering Heart\"", "translated_description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "id": "xf86a9a54", "description_html": "

For more information please visit http://www.moma.org/1913<\/a><\/p>", "title": "D. W. Griffith, \"The Mothering Heart\"", "progress_key": "vxf86a9a54", "edit_slug": "edit/v/xf86a9a54", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/ Griffith-Mothering-Heart", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UWMNAdXEDlM.mp4/UWMNAdXEDlM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UWMNAdXEDlM.mp4/UWMNAdXEDlM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UWMNAdXEDlM.m3u8/UWMNAdXEDlM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UWMNAdXEDlM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf86a9a54", "sha": "86b8c1881d4e698021fb28deeff40e48988c5bc6", "translated_description": "For more information please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/UWMNAdXEDlM/hqdefault.jpg", "youtube_id": "UWMNAdXEDlM", "content_kind": "Video", "readable_id": " Griffith-Mothering-Heart"}, {"translated_youtube_id": "MCL1qhlSq1Y", "relative_url": "/video/MoMA-Nolde-YoungCouple", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Nolde-YoungCouple", "duration": 136, "translated_title": "Emil Nolde, \"Young Couple,\" 1913", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "id": "x1a0d575a", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "title": "Emil Nolde, \"Young Couple,\" 1913", "progress_key": "vx1a0d575a", "edit_slug": "edit/v/x1a0d575a", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-Nolde-YoungCouple", "deleted": false, "backup_timestamp": "2013-10-19T20:39:50Z", "date_added": "2013-10-19T20:39:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.mp4/MCL1qhlSq1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.mp4/MCL1qhlSq1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MCL1qhlSq1Y.m3u8/MCL1qhlSq1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MCL1qhlSq1Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1a0d575a", "sha": "fb3f5b0ed2ff205ce647a0b7457053399966677c", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/MCL1qhlSq1Y/hqdefault.jpg", "youtube_id": "MCL1qhlSq1Y", "content_kind": "Video", "readable_id": "MoMA-Nolde-YoungCouple"}, {"translated_youtube_id": "pEsebLFxqXI", "relative_url": "/video/MoMA-Survage-Rhythm", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Survage-Rhythm", "duration": 141, "translated_title": "Léopold Survage, \"Colored Rhythm: Study for the Film\"", "translated_description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "id": "xb4cd8334", "description_html": "

To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945<\/a> or Pigment to Pixel: Color in Modern and Contemporary Art.<\/a><\/p>", "title": "Léopold Survage, \"Colored Rhythm: Study for the Film\"", "progress_key": "vxb4cd8334", "edit_slug": "edit/v/xb4cd8334", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "extra_properties": {}, "node_slug": "v/MoMA-Survage-Rhythm", "deleted": false, "backup_timestamp": "2013-10-19T20:50:59Z", "date_added": "2013-10-19T20:50:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pEsebLFxqXI.mp4/pEsebLFxqXI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pEsebLFxqXI.mp4/pEsebLFxqXI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pEsebLFxqXI.m3u8/pEsebLFxqXI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pEsebLFxqXI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb4cd8334", "sha": "e05c17c0b94169b736a5fddd95629e3ac14bc2d6", "translated_description": "To learn about other great moments in modern art, take our online course, Modern Art, 1880-1945 or Pigment to Pixel: Color in Modern and Contemporary Art.", "image_url": "https://img.youtube.com/vi/pEsebLFxqXI/hqdefault.jpg", "youtube_id": "pEsebLFxqXI", "content_kind": "Video", "readable_id": "MoMA-Survage-Rhythm"}, {"translated_youtube_id": "vx9aRRFQqBU", "relative_url": "/video/Hohlwein-Kaffee-Hag", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Hohlwein-Kaffee-Hag", "duration": 154, "translated_title": "Ludwig Hohlwein, \"Kaffee Hag\"", "translated_description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "id": "x4de19d37", "description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "title": "Ludwig Hohlwein, \"Kaffee Hag\"", "progress_key": "vx4de19d37", "edit_slug": "edit/v/x4de19d37", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information, please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/Hohlwein-Kaffee-Hag", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vx9aRRFQqBU.mp4/vx9aRRFQqBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vx9aRRFQqBU.mp4/vx9aRRFQqBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vx9aRRFQqBU.m3u8/vx9aRRFQqBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vx9aRRFQqBU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4de19d37", "sha": "1b9f5e8c2a6c0c3f9e4721b90a77710d36f7e379", "translated_description": "For more information, please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/vx9aRRFQqBU/hqdefault.jpg", "youtube_id": "vx9aRRFQqBU", "content_kind": "Video", "readable_id": "Hohlwein-Kaffee-Hag"}, {"translated_youtube_id": "vnrdgyBi5wA", "relative_url": "/video/Sennett-Oldfield", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Sennett-Oldfield", "duration": 103, "translated_title": "Mack Sennett, \"Barney Oldfield's Race for a Life\"", "translated_description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "id": "xd6b0de12", "description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "title": "Mack Sennett, \"Barney Oldfield's Race for a Life\"", "progress_key": "vxd6b0de12", "edit_slug": "edit/v/xd6b0de12", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information, please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/Sennett-Oldfield", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vnrdgyBi5wA.mp4/vnrdgyBi5wA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vnrdgyBi5wA.mp4/vnrdgyBi5wA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vnrdgyBi5wA.m3u8/vnrdgyBi5wA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vnrdgyBi5wA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd6b0de12", "sha": "33236a8062efeb687ad12be53ea9038cff48520f", "translated_description": "For more information, please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/vnrdgyBi5wA/hqdefault.jpg", "youtube_id": "vnrdgyBi5wA", "content_kind": "Video", "readable_id": "Sennett-Oldfield"}, {"translated_youtube_id": "MT4niL7TCLY", "relative_url": "/video/Raemaekers-Tegen-de-Tariefwet", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Raemaekers-Tegen-de-Tariefwet", "duration": 126, "translated_title": "Louis Raemaekers, \"Tegen de Tariefwet, Vliegt niet in't Web!\" ", "translated_description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "id": "xc8719cf6", "description_html": "

For more information, please visit http://www.moma.org/1913<\/a><\/p>", "title": "Louis Raemaekers, \"Tegen de Tariefwet, Vliegt niet in't Web!\" ", "progress_key": "vxc8719cf6", "edit_slug": "edit/v/xc8719cf6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information, please visit http://www.moma.org/1913", "extra_properties": {}, "node_slug": "v/Raemaekers-Tegen-de-Tariefwet", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MT4niL7TCLY.mp4/MT4niL7TCLY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MT4niL7TCLY.mp4/MT4niL7TCLY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MT4niL7TCLY.m3u8/MT4niL7TCLY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MT4niL7TCLY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc8719cf6", "sha": "a2feb8fa6d818a696de874234428628783620254", "translated_description": "For more information, please visit http://www.moma.org/1913", "image_url": "https://img.youtube.com/vi/MT4niL7TCLY/hqdefault.jpg", "youtube_id": "MT4niL7TCLY", "content_kind": "Video", "readable_id": "Raemaekers-Tegen-de-Tariefwet"}], "twitter_url": "", "translated_description": "1913 is a particularly important year within the history of modern art, marked by events and objects that would fundamentally change the way art was conceived and understood. In February of that year, the groundbreaking \"Armory Show\" introduced the American public to the work of Paul Cézanne, Pablo Picasso, Marcel Duchamp, and many other European artists exhibited alongside their American avant-garde counterparts. In this series of videos, curators from all areas of the Museum speak about their favorite works from 1913 in MoMA's collection.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "1913 is a particularly important year within the history of modern art, marked by events and objects that would fundamentally change the way art was conceived and understood. In February of that year, the groundbreaking \"Armory Show\" introduced the American public to the work of Paul Cézanne, Pablo Picasso, Marcel Duchamp, and many other European artists exhibited alongside their American avant-garde counterparts. In this series of videos, curators from all areas of the Museum speak about their favorite works from 1913 in MoMA's collection.", "x_pos": 0.0, "node_slug": "moma-1913-centennial-celebration", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:23Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7054342", "topic_page_url": "/partner-content/MoMA/moma-1913-centennial-celebration", "extended_slug": "partner-content/MoMA/moma-1913-centennial-celebration", "slug": "moma-1913-centennial-celebration", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6ac70807eea1af7e2dbb30efbc31b1c1dff48a00", "standalone_title": "1913 Centennial Celebration", "y_pos": 0.0, "current_revision_key": "6ac70807eea1af7e2dbb30efbc31b1c1dff48a00", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/behind-scenes-moma", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/behind-scenes-moma", "translated_standalone_title": "Behind the scenes at MoMA", "translated_title": "Behind the scenes at MoMA", "gplus_url": "", "id": "xa423b5ae", "old_key_name": null, "hide": false, "title": "Behind the scenes at MoMA", "child_data": [{"kind": "Video", "id": "xb4a16b8e"}, {"kind": "Video", "id": "x4215051d"}, {"kind": "Video", "id": "x62dcc98f"}, {"kind": "Video", "id": "x7219d5b5"}, {"kind": "Video", "id": "xdcb709ba"}, {"kind": "Video", "id": "x9f14f629"}, {"kind": "Video", "id": "xc813d00d"}, {"kind": "Video", "id": "x89cb6d39"}, {"kind": "Video", "id": "x2ed04049"}], "children": [{"translated_youtube_id": "S6d5oAS-jUc", "relative_url": "/video/MoMA-Framing-Christinas-World", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/MoMA-Framing-Christinas-World", "duration": 191, "translated_title": "Framing \"Christina's World\" by Andrew Wyeth", "translated_description_html": "

Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.<\/a><\/p>", "id": "xb4a16b8e", "description_html": "

Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.<\/a><\/p>", "title": "Framing \"Christina's World\" by Andrew Wyeth", "progress_key": "vxb4a16b8e", "edit_slug": "edit/v/xb4a16b8e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/MoMA-Framing-Christinas-World", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.mp4/S6d5oAS-jUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.mp4/S6d5oAS-jUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S6d5oAS-jUc.m3u8/S6d5oAS-jUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S6d5oAS-jUc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb4a16b8e", "sha": "a10b1457bf855b64caa3d3a54d569b5e0311e56c", "translated_description": "Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/S6d5oAS-jUc/hqdefault.jpg", "youtube_id": "S6d5oAS-jUc", "content_kind": "Video", "readable_id": "MoMA-Framing-Christinas-World"}, {"translated_youtube_id": "l1sBpsyRNfM", "relative_url": "/video/moma-installation-serra-sculptures", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-installation-serra-sculptures", "duration": 65, "translated_title": "Installation of Richard Serra's sculptures at MoMA", "translated_description_html": "

Watch Richard Serra's Torqued Ellipse IV  (1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA's online courses.<\/p>", "id": "x4215051d", "description_html": "

Watch Richard Serra's Torqued Ellipse IV  (1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA's online courses.<\/p>", "title": "Installation of Richard Serra's sculptures at MoMA", "progress_key": "vx4215051d", "edit_slug": "edit/v/x4215051d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Watch Richard Serra's Torqued Ellipse IV  (1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA's online courses.", "extra_properties": {}, "node_slug": "v/moma-installation-serra-sculptures", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l1sBpsyRNfM.mp4/l1sBpsyRNfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l1sBpsyRNfM.mp4/l1sBpsyRNfM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l1sBpsyRNfM.m3u8/l1sBpsyRNfM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l1sBpsyRNfM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4215051d", "sha": "0b3bb797c30284c76d4748273275fe50a959c62d", "translated_description": "Watch Richard Serra's Torqued Ellipse IV  (1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA's online courses.", "image_url": "https://img.youtube.com/vi/l1sBpsyRNfM/hqdefault.jpg", "youtube_id": "l1sBpsyRNfM", "content_kind": "Video", "readable_id": "moma-installation-serra-sculptures"}, {"translated_youtube_id": "7beFNpp4FxY", "relative_url": "/video/moma-pollock-one-number-31-1950", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-pollock-one-number-31-1950", "duration": 168, "translated_title": "Conservation | Pollock, \"One: Number 31, 1950\"", "translated_description_html": "

You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting<\/a>.<\/span><\/p>", "id": "x62dcc98f", "description_html": "

You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting<\/a>.<\/span><\/p>", "title": "Conservation | Pollock, \"One: Number 31, 1950\"", "progress_key": "vx62dcc98f", "edit_slug": "edit/v/x62dcc98f", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting.", "extra_properties": {}, "node_slug": "v/moma-pollock-one-number-31-1950", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.mp4/7beFNpp4FxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.mp4/7beFNpp4FxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7beFNpp4FxY.m3u8/7beFNpp4FxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7beFNpp4FxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx62dcc98f", "sha": "4f08416509d6924062f301cb50ed629b9a1e18c7", "translated_description": "You can experiment with Pollock's famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: Materials and Techniques of Postwar Painting.", "image_url": "https://img.youtube.com/vi/7beFNpp4FxY/hqdefault.jpg", "youtube_id": "7beFNpp4FxY", "content_kind": "Video", "readable_id": "moma-pollock-one-number-31-1950"}, {"translated_youtube_id": "YwnfVj5qeo4", "relative_url": "/video/moma-picasso-guitars-1912-1914", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-picasso-guitars-1912-1914", "duration": 197, "translated_title": "Conservation | Picasso's Guitars, 1912-1914", "translated_description_html": "

Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar<\/em>. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "id": "x7219d5b5", "description_html": "

Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar<\/em>. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "title": "Conservation | Picasso's Guitars, 1912-1914", "progress_key": "vx7219d5b5", "edit_slug": "edit/v/x7219d5b5", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/moma-picasso-guitars-1912-1914", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.mp4/YwnfVj5qeo4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.mp4/YwnfVj5qeo4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YwnfVj5qeo4.m3u8/YwnfVj5qeo4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YwnfVj5qeo4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7219d5b5", "sha": "ff6684ea357ee3ae0fc8ee7f847c8d9e38df8d31", "translated_description": "Photography helps MoMA conservators determine how to treat Picasso's 1913 Cubist sculpture, Still-Life with Guitar. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/YwnfVj5qeo4/hqdefault.jpg", "youtube_id": "YwnfVj5qeo4", "content_kind": "Video", "readable_id": "moma-picasso-guitars-1912-1914"}, {"translated_youtube_id": "rO_lwjhoSiU", "relative_url": "/video/moma-untitled-paik", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-untitled-paik", "duration": 259, "translated_title": "Conservation | Paik, \"Untitled,\" 1993", "translated_description_html": "

To learn more about the history of sound, video and performance art, enroll in our online courses, including Five Puzzles of Contemporary Art<\/a>.<\/p>", "id": "xdcb709ba", "description_html": "

To learn more about the history of sound, video and performance art, enroll in our online courses, including Five Puzzles of Contemporary Art<\/a>.<\/p>", "title": "Conservation | Paik, \"Untitled,\" 1993", "progress_key": "vxdcb709ba", "edit_slug": "edit/v/xdcb709ba", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To learn more about the history of sound, video and performance art, enroll in our online courses, including Five Puzzles of Contemporary Art.", "extra_properties": {}, "node_slug": "v/moma-untitled-paik", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rO_lwjhoSiU.mp4/rO_lwjhoSiU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rO_lwjhoSiU.mp4/rO_lwjhoSiU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rO_lwjhoSiU.m3u8/rO_lwjhoSiU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rO_lwjhoSiU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdcb709ba", "sha": "cafd50fe3cdcc9ed5b43f85e3147908bb6fe0bdc", "translated_description": "To learn more about the history of sound, video and performance art, enroll in our online courses, including Five Puzzles of Contemporary Art.", "image_url": "https://img.youtube.com/vi/rO_lwjhoSiU/hqdefault.jpg", "youtube_id": "rO_lwjhoSiU", "content_kind": "Video", "readable_id": "moma-untitled-paik"}, {"translated_youtube_id": "RcPI6Mb9J6k", "relative_url": "/video/Magritte-The-Portrait", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Magritte-The-Portrait", "duration": 179, "translated_title": "Conservation | René Magritte, \"The Portrait,\" 1935", "translated_description_html": "

For more information please visit http://www.moma.org/magritte<\/a>

<\/p>", "id": "x9f14f629", "description_html": "

For more information please visit http://www.moma.org/magritte<\/a>

<\/p>", "title": "Conservation | René Magritte, \"The Portrait,\" 1935", "progress_key": "vx9f14f629", "edit_slug": "edit/v/x9f14f629", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/magritte", "extra_properties": {}, "node_slug": "v/Magritte-The-Portrait", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RcPI6Mb9J6k.mp4/RcPI6Mb9J6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RcPI6Mb9J6k.mp4/RcPI6Mb9J6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RcPI6Mb9J6k.m3u8/RcPI6Mb9J6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RcPI6Mb9J6k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9f14f629", "sha": "df8e115c0fdb2c09938118e3e77ab5bdb44524c6", "translated_description": "For more information please visit http://www.moma.org/magritte", "image_url": "https://img.youtube.com/vi/RcPI6Mb9J6k/hqdefault.jpg", "youtube_id": "RcPI6Mb9J6k", "content_kind": "Video", "readable_id": "Magritte-The-Portrait"}, {"translated_youtube_id": "-bX9cFGKm1o", "relative_url": "/video/Magritte-False-Mirror", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Magritte-False-Mirror", "duration": 80, "translated_title": "Conservation | René Magritte, \"The False Mirror,\" 1928", "translated_description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "id": "xc813d00d", "description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "title": "Conservation | René Magritte, \"The False Mirror,\" 1928", "progress_key": "vxc813d00d", "edit_slug": "edit/v/xc813d00d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/magritte", "extra_properties": {}, "node_slug": "v/Magritte-False-Mirror", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-bX9cFGKm1o.mp4/-bX9cFGKm1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-bX9cFGKm1o.mp4/-bX9cFGKm1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-bX9cFGKm1o.m3u8/-bX9cFGKm1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-bX9cFGKm1o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc813d00d", "sha": "84dfcb6fe2aa89eccec148f88327493da8795153", "translated_description": "For more information please visit http://www.moma.org/magritte", "image_url": "https://img.youtube.com/vi/-bX9cFGKm1o/hqdefault.jpg", "youtube_id": "-bX9cFGKm1o", "content_kind": "Video", "readable_id": "Magritte-False-Mirror"}, {"translated_youtube_id": "2b_BOHeEPJY", "relative_url": "/video/Magritte-Menaced-Assassin", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Magritte-Menaced-Assassin", "duration": 155, "translated_title": "Conservation | René Magritte, \"The Menaced Assassin,\" 1927", "translated_description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "id": "x89cb6d39", "description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "title": "Conservation | René Magritte, \"The Menaced Assassin,\" 1927", "progress_key": "vx89cb6d39", "edit_slug": "edit/v/x89cb6d39", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/magritte", "extra_properties": {}, "node_slug": "v/Magritte-Menaced-Assassin", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2b_BOHeEPJY.mp4/2b_BOHeEPJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2b_BOHeEPJY.mp4/2b_BOHeEPJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2b_BOHeEPJY.m3u8/2b_BOHeEPJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2b_BOHeEPJY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx89cb6d39", "sha": "89926f2cda1418fcc172bd576114891982f81729", "translated_description": "For more information please visit http://www.moma.org/magritte", "image_url": "https://img.youtube.com/vi/2b_BOHeEPJY/hqdefault.jpg", "youtube_id": "2b_BOHeEPJY", "content_kind": "Video", "readable_id": "Magritte-Menaced-Assassin"}, {"translated_youtube_id": "Qo47YQTfLj8", "relative_url": "/video/Magritte-Palace-of-Curtains", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Magritte-Palace-of-Curtains", "duration": 151, "translated_title": "Conservation | René Magritte, \"The Palace of Curtains, III,\" 1928-29", "translated_description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "id": "x2ed04049", "description_html": "

For more information please visit http://www.moma.org/magritte<\/a><\/p>", "title": "Conservation | René Magritte, \"The Palace of Curtains, III,\" 1928-29", "progress_key": "vx2ed04049", "edit_slug": "edit/v/x2ed04049", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "For more information please visit http://www.moma.org/magritte", "extra_properties": {}, "node_slug": "v/Magritte-Palace-of-Curtains", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qo47YQTfLj8.mp4/Qo47YQTfLj8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qo47YQTfLj8.mp4/Qo47YQTfLj8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qo47YQTfLj8.m3u8/Qo47YQTfLj8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qo47YQTfLj8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2ed04049", "sha": "0ae9a91fd6c36182b30f2569d645b90017f62e70", "translated_description": "For more information please visit http://www.moma.org/magritte", "image_url": "https://img.youtube.com/vi/Qo47YQTfLj8/hqdefault.jpg", "youtube_id": "Qo47YQTfLj8", "content_kind": "Video", "readable_id": "Magritte-Palace-of-Curtains"}], "twitter_url": "", "translated_description": "Come behind the scenes and watch the staff and artists at work.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Come behind the scenes and watch the staff and artists at work.", "x_pos": 0.0, "node_slug": "behind-scenes-moma", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa423b5ae", "topic_page_url": "/partner-content/MoMA/behind-scenes-moma", "extended_slug": "partner-content/MoMA/behind-scenes-moma", "slug": "behind-scenes-moma", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bd306519a200d3b11c35c6b20d74fda73f741f0a", "standalone_title": "Behind the scenes at MoMA", "y_pos": 0.0, "current_revision_key": "bd306519a200d3b11c35c6b20d74fda73f741f0a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/moma-abstract-expressionism", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/moma-abstract-expressionism", "translated_standalone_title": "Abstract Expressionism", "translated_title": "Abstract Expressionism", "gplus_url": "", "id": "x4c66ac5f", "old_key_name": null, "hide": false, "title": "Abstract Expressionism", "child_data": [{"kind": "Video", "id": "x6f6ed6d7"}, {"kind": "Video", "id": "xcfef1a5b"}, {"kind": "Video", "id": 1023636462}, {"kind": "Video", "id": "x56b411c6"}, {"kind": "Video", "id": 1023434959}, {"kind": "Video", "id": "x840f7734"}, {"kind": "Video", "id": 1023636463}, {"kind": "Video", "id": "x5e5044f6"}, {"kind": "Video", "id": 1023621312}, {"kind": "Video", "id": "x2afbf1d7"}, {"kind": "Video", "id": "x9d581911"}, {"kind": "Video", "id": "xda2d5d30"}, {"kind": "Video", "id": "x4b47940f"}, {"kind": "Video", "id": "x12a22158"}, {"kind": "Video", "id": "xba8b678d"}, {"kind": "Video", "id": "x30d479f1"}, {"kind": "Video", "id": "xf83b866e"}, {"kind": "Video", "id": "xdc39a0f1"}, {"kind": "Video", "id": "x84dd2381"}], "children": [{"translated_youtube_id": "qh10-sfZNJE", "relative_url": "/video/moma-abstract-expressionism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abstract-expressionism", "duration": 314, "translated_title": "AB EX NY: MoMA and Abstract Expressionism", "translated_description_html": "

Take the online course Modern and Contemporary Art: 1945-1989<\/a> to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, Materials and Techniques of Postwar painting<\/a>. <\/p>", "id": "x6f6ed6d7", "description_html": "

Take the online course Modern and Contemporary Art: 1945-1989<\/a> to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, Materials and Techniques of Postwar painting<\/a>. <\/p>", "title": "AB EX NY: MoMA and Abstract Expressionism", "progress_key": "vx6f6ed6d7", "edit_slug": "edit/v/x6f6ed6d7", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Take the online course Modern and Contemporary Art: 1945-1989 to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, Materials and Techniques of Postwar painting. ", "extra_properties": {}, "node_slug": "v/moma-abstract-expressionism", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qh10-sfZNJE.mp4/qh10-sfZNJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qh10-sfZNJE.mp4/qh10-sfZNJE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qh10-sfZNJE.m3u8/qh10-sfZNJE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qh10-sfZNJE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6f6ed6d7", "sha": "7a788e39f390d828e661bdb9ea4ad708e9dfc335", "translated_description": "Take the online course Modern and Contemporary Art: 1945-1989 to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, Materials and Techniques of Postwar painting. ", "image_url": "https://img.youtube.com/vi/qh10-sfZNJE/hqdefault.jpg", "youtube_id": "qh10-sfZNJE", "content_kind": "Video", "readable_id": "moma-abstract-expressionism"}, {"translated_youtube_id": "oG45EoRh3Fo", "relative_url": "/video/moma-jackson-pollock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-jackson-pollock", "duration": 314, "translated_title": "Jackson Pollock", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or enroll in the online course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "id": "xcfef1a5b", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or enroll in the online course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "title": "Jackson Pollock", "progress_key": "vxcfef1a5b", "edit_slug": "edit/v/xcfef1a5b", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or enroll in the online course Modern and Contemporary Art: 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-jackson-pollock", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.mp4/oG45EoRh3Fo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.mp4/oG45EoRh3Fo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oG45EoRh3Fo.m3u8/oG45EoRh3Fo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oG45EoRh3Fo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcfef1a5b", "sha": "cf7fe9ab0297965012243b5e5d08f0cfeb276445", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or enroll in the online course Modern and Contemporary Art: 1945-1989.", "image_url": "https://img.youtube.com/vi/oG45EoRh3Fo/hqdefault.jpg", "youtube_id": "oG45EoRh3Fo", "content_kind": "Video", "readable_id": "moma-jackson-pollock"}, {"translated_youtube_id": "EncR_T0faKM", "relative_url": "/video/moma-painting-technique-pollock", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-pollock", "duration": 242, "translated_title": "The Painting Techniques of Jackson Pollock", "translated_description_html": "

Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023636462", "description_html": "

Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Jackson Pollock", "progress_key": "v1023636462", "edit_slug": "edit/v/1023636462", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-pollock", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.mp4/EncR_T0faKM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.mp4/EncR_T0faKM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EncR_T0faKM.m3u8/EncR_T0faKM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EncR_T0faKM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023636462", "sha": "a0cabfe8ad0230d2784234440eb5c31f7c62dc60", "translated_description": "Learn about the drip-style painting techniques of one of America's most iconic and influential painters. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/EncR_T0faKM/hqdefault.jpg", "youtube_id": "EncR_T0faKM", "content_kind": "Video", "readable_id": "moma-painting-technique-pollock"}, {"translated_youtube_id": "JPoQeuWybIo", "relative_url": "/video/moma-mark-rothko", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-mark-rothko", "duration": 337, "translated_title": "Mark Rothko", "translated_description_html": "

Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x56b411c6", "description_html": "

Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Mark Rothko", "progress_key": "vx56b411c6", "edit_slug": "edit/v/x56b411c6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-mark-rothko", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.mp4/JPoQeuWybIo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.mp4/JPoQeuWybIo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JPoQeuWybIo.m3u8/JPoQeuWybIo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JPoQeuWybIo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx56b411c6", "sha": "921da7c791351e2d372cfb3e85e2c803f80932ff", "translated_description": "Explore the power of abstraction through Mark Rothko's luminous and introspective paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/JPoQeuWybIo/hqdefault.jpg", "youtube_id": "JPoQeuWybIo", "content_kind": "Video", "readable_id": "moma-mark-rothko"}, {"translated_youtube_id": "vSiu8qzHV6c", "relative_url": "/video/moma-painting-technique-rothko", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-rothko", "duration": 213, "translated_title": "The Painting Techniques of Mark Rothko", "translated_description_html": "

Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023434959", "description_html": "

Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Mark Rothko", "progress_key": "v1023434959", "edit_slug": "edit/v/1023434959", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-rothko", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.mp4/vSiu8qzHV6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.mp4/vSiu8qzHV6c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vSiu8qzHV6c.m3u8/vSiu8qzHV6c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vSiu8qzHV6c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023434959", "sha": "4f6262461447580d147bbbe29d010d529d55e1a1", "translated_description": "Explore the complex veils of color that form Mark Rothko's abstract paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/vSiu8qzHV6c/hqdefault.jpg", "youtube_id": "vSiu8qzHV6c", "content_kind": "Video", "readable_id": "moma-painting-technique-rothko"}, {"translated_youtube_id": "xyTxrbsfLpg", "relative_url": "/video/moma-franz-kline", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-franz-kline", "duration": 191, "translated_title": "Franz Kline", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "id": "x840f7734", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a> or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989<\/a>.<\/p>", "title": "Franz Kline", "progress_key": "vx840f7734", "edit_slug": "edit/v/x840f7734", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-franz-kline", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.mp4/xyTxrbsfLpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.mp4/xyTxrbsfLpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xyTxrbsfLpg.m3u8/xyTxrbsfLpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xyTxrbsfLpg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx840f7734", "sha": "21569bef48f1d9d939919bf450494c24111f0ae5", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting or learn more about the art of this time in the online history course Modern and Contemporary Art: 1945-1989.", "image_url": "https://img.youtube.com/vi/xyTxrbsfLpg/hqdefault.jpg", "youtube_id": "xyTxrbsfLpg", "content_kind": "Video", "readable_id": "moma-franz-kline"}, {"translated_youtube_id": "1xQTlp0hscs", "relative_url": "/video/moma-painting-technique-kline", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-kline", "duration": 235, "translated_title": "The Painting Techniques of Franz Kline", "translated_description_html": "

Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023636463", "description_html": "

Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Franz Kline", "progress_key": "v1023636463", "edit_slug": "edit/v/1023636463", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-kline", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.mp4/1xQTlp0hscs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.mp4/1xQTlp0hscs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1xQTlp0hscs.m3u8/1xQTlp0hscs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1xQTlp0hscs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023636463", "sha": "d87f04585527506a6fe8fa120d1d6b2cde303d4d", "translated_description": "Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/1xQTlp0hscs/hqdefault.jpg", "youtube_id": "1xQTlp0hscs", "content_kind": "Video", "readable_id": "moma-painting-technique-kline"}, {"translated_youtube_id": "wyT4IvTGSwk", "relative_url": "/video/moma-barnett-newman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-barnett-newman", "duration": 272, "translated_title": "Barnett Newman", "translated_description_html": "

Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x5e5044f6", "description_html": "

Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Barnett Newman", "progress_key": "vx5e5044f6", "edit_slug": "edit/v/x5e5044f6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-barnett-newman", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.mp4/wyT4IvTGSwk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.mp4/wyT4IvTGSwk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wyT4IvTGSwk.m3u8/wyT4IvTGSwk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wyT4IvTGSwk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5e5044f6", "sha": "2011c69d7ed93fc70134bc4c28ff4d8ba4441223", "translated_description": "Set aside the everyday and enter the profound, even spiritual space of Barnett Newman's paintings. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/wyT4IvTGSwk/hqdefault.jpg", "youtube_id": "wyT4IvTGSwk", "content_kind": "Video", "readable_id": "moma-barnett-newman"}, {"translated_youtube_id": "GacKM9yxiw4", "relative_url": "/video/moma-painting-technique-newman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-newman", "duration": 230, "translated_title": "The Painting Techniques of Barnett Newman", "translated_description_html": "

Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "1023621312", "description_html": "

Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Barnett Newman", "progress_key": "v1023621312", "edit_slug": "edit/v/1023621312", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-newman", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.mp4/GacKM9yxiw4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.mp4/GacKM9yxiw4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GacKM9yxiw4.m3u8/GacKM9yxiw4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GacKM9yxiw4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1023621312", "sha": "4012a7827ba1ce22555d2d66148f514dbb206976", "translated_description": "Learn Barnett Newman's techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/GacKM9yxiw4/hqdefault.jpg", "youtube_id": "GacKM9yxiw4", "content_kind": "Video", "readable_id": "moma-painting-technique-newman"}, {"translated_youtube_id": "p5nej7Gy7kQ", "relative_url": "/video/moma-ad-reinhardt", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-ad-reinhardt", "duration": 204, "translated_title": "Ad Reinhardt", "translated_description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x2afbf1d7", "description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Ad Reinhardt", "progress_key": "vx2afbf1d7", "edit_slug": "edit/v/x2afbf1d7", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-ad-reinhardt", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.mp4/p5nej7Gy7kQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.mp4/p5nej7Gy7kQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p5nej7Gy7kQ.m3u8/p5nej7Gy7kQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p5nej7Gy7kQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2afbf1d7", "sha": "5e67933836269f237b9710fa6890bbb41159c287", "translated_description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/p5nej7Gy7kQ/hqdefault.jpg", "youtube_id": "p5nej7Gy7kQ", "content_kind": "Video", "readable_id": "moma-ad-reinhardt"}, {"translated_youtube_id": "jSGGHmTXA3o", "relative_url": "/video/moma-painting-technique-reinhardt", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-painting-technique-reinhardt", "duration": 299, "translated_title": "The Painting Techniques of Ad Reinhardt", "translated_description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x9d581911", "description_html": "

Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "The Painting Techniques of Ad Reinhardt", "progress_key": "vx9d581911", "edit_slug": "edit/v/x9d581911", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-painting-technique-reinhardt", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.mp4/jSGGHmTXA3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.mp4/jSGGHmTXA3o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jSGGHmTXA3o.m3u8/jSGGHmTXA3o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jSGGHmTXA3o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9d581911", "sha": "7bf347fb2cc0071e70bc4359ba4988c43f4fa55e", "translated_description": "Take time with Ad Reinhardt's black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/jSGGHmTXA3o/hqdefault.jpg", "youtube_id": "jSGGHmTXA3o", "content_kind": "Video", "readable_id": "moma-painting-technique-reinhardt"}, {"translated_youtube_id": "GpBD_1pT_mw", "relative_url": "/video/moma-art-term-emulsion", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-emulsion", "duration": 59, "translated_title": "Art Terms in Action: Emulsion", "translated_description_html": "

Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xda2d5d30", "description_html": "

Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Emulsion", "progress_key": "vxda2d5d30", "edit_slug": "edit/v/xda2d5d30", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-emulsion", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.mp4/GpBD_1pT_mw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.mp4/GpBD_1pT_mw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GpBD_1pT_mw.m3u8/GpBD_1pT_mw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GpBD_1pT_mw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxda2d5d30", "sha": "8c3555884c1ea7905bee2cd06011fa6841af4c4a", "translated_description": "Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/GpBD_1pT_mw/hqdefault.jpg", "youtube_id": "GpBD_1pT_mw", "content_kind": "Video", "readable_id": "moma-art-term-emulsion"}, {"translated_youtube_id": "koL4adsku1g", "relative_url": "/video/moma-art-term-enamel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-enamel", "duration": 68, "translated_title": "Art Terms in Action: Enamel", "translated_description_html": "

Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "id": "x4b47940f", "description_html": "

Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>.<\/p>", "title": "Art Terms in Action: Enamel", "progress_key": "vx4b47940f", "edit_slug": "edit/v/x4b47940f", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "extra_properties": {}, "node_slug": "v/moma-art-term-enamel", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.mp4/koL4adsku1g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.mp4/koL4adsku1g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/koL4adsku1g.m3u8/koL4adsku1g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=koL4adsku1g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4b47940f", "sha": "fde7ad8f67a65bd17e8b9d79734551b408c9b869", "translated_description": "Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting.", "image_url": "https://img.youtube.com/vi/koL4adsku1g/hqdefault.jpg", "youtube_id": "koL4adsku1g", "content_kind": "Video", "readable_id": "moma-art-term-enamel"}, {"translated_youtube_id": "R2cCoswXvZA", "relative_url": "/video/moma-art-term-paint", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-paint", "duration": 93, "translated_title": "AB EX NY: Art Terms in Action: Paint", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. 
<\/p>", "id": "x12a22158", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. 
<\/p>", "title": "AB EX NY: Art Terms in Action: Paint", "progress_key": "vx12a22158", "edit_slug": "edit/v/x12a22158", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-paint", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R2cCoswXvZA.mp4/R2cCoswXvZA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R2cCoswXvZA.mp4/R2cCoswXvZA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R2cCoswXvZA.m3u8/R2cCoswXvZA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R2cCoswXvZA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx12a22158", "sha": "86131006e5b7858a974837adb285b3eb70ef2882", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/R2cCoswXvZA/hqdefault.jpg", "youtube_id": "R2cCoswXvZA", "content_kind": "Video", "readable_id": "moma-art-term-paint"}, {"translated_youtube_id": "ajeETSrukxY", "relative_url": "/video/moma-art-term-palette-knife", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-palette-knife", "duration": 36, "translated_title": "Art Terms in Action: Palette Knife", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xba8b678d", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Palette Knife", "progress_key": "vxba8b678d", "edit_slug": "edit/v/xba8b678d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-palette-knife", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.mp4/ajeETSrukxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.mp4/ajeETSrukxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ajeETSrukxY.m3u8/ajeETSrukxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ajeETSrukxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxba8b678d", "sha": "97601aa18dc93d3a5dc049033714581e111b3b7c", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/ajeETSrukxY/hqdefault.jpg", "youtube_id": "ajeETSrukxY", "content_kind": "Video", "readable_id": "moma-art-term-palette-knife"}, {"translated_youtube_id": "0OrF-ls7wmM", "relative_url": "/video/moma-art-term-stain", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-stain", "duration": 51, "translated_title": "Art Terms in Action: Stain", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "x30d479f1", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Stain", "progress_key": "vx30d479f1", "edit_slug": "edit/v/x30d479f1", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-stain", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.mp4/0OrF-ls7wmM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.mp4/0OrF-ls7wmM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0OrF-ls7wmM.m3u8/0OrF-ls7wmM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0OrF-ls7wmM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx30d479f1", "sha": "4fb2cc7a771b0460cf093bebc04582e287f889f0", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/0OrF-ls7wmM/hqdefault.jpg", "youtube_id": "0OrF-ls7wmM", "content_kind": "Video", "readable_id": "moma-art-term-stain"}, {"translated_youtube_id": "q7STpNRwzzc", "relative_url": "/video/moma-art-term-tint-shade-tone", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-tint-shade-tone", "duration": 58, "translated_title": "Art Terms in Action: Tint, Shade, and Tone", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "xf83b866e", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Tint, Shade, and Tone", "progress_key": "vxf83b866e", "edit_slug": "edit/v/xf83b866e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-tint-shade-tone", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.mp4/q7STpNRwzzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.mp4/q7STpNRwzzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7STpNRwzzc.m3u8/q7STpNRwzzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7STpNRwzzc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf83b866e", "sha": "a3198991ab4b7811a2f379051fdfb3046f1af5f4", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/q7STpNRwzzc/hqdefault.jpg", "youtube_id": "q7STpNRwzzc", "content_kind": "Video", "readable_id": "moma-art-term-tint-shade-tone"}, {"translated_youtube_id": "fsaRisPpzjU", "relative_url": "/video/moma-art-term-turpentine-burn", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-turpentine-burn", "duration": 37, "translated_title": "Art Terms in Action: Turpentine Burn", "translated_description_html": "

Abstract Expressionist New York<\/span>To experiment on your own, take our <\/span>online studio course <\/span>Materials and Techniques of Postwar Abstract Painting<\/a>. <\/span><\/p>", "id": "xdc39a0f1", "description_html": "

Abstract Expressionist New York<\/span>To experiment on your own, take our <\/span>online studio course <\/span>Materials and Techniques of Postwar Abstract Painting<\/a>. <\/span><\/p>", "title": "Art Terms in Action: Turpentine Burn", "progress_key": "vxdc39a0f1", "edit_slug": "edit/v/xdc39a0f1", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Abstract Expressionist New YorkTo experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-turpentine-burn", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.mp4/fsaRisPpzjU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.mp4/fsaRisPpzjU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fsaRisPpzjU.m3u8/fsaRisPpzjU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fsaRisPpzjU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdc39a0f1", "sha": "84a4b87a9fe974b35ca11fea09b19639b4edaa4d", "translated_description": "Abstract Expressionist New YorkTo experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/fsaRisPpzjU/hqdefault.jpg", "youtube_id": "fsaRisPpzjU", "content_kind": "Video", "readable_id": "moma-art-term-turpentine-burn"}, {"translated_youtube_id": "N8GQQJZQrUc", "relative_url": "/video/moma-art-term-viscosity", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-art-term-viscosity", "duration": 63, "translated_title": "Art Terms in Action: Viscosity", "translated_description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "id": "x84dd2381", "description_html": "

To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting<\/a>. <\/p>", "title": "Art Terms in Action: Viscosity", "progress_key": "vx84dd2381", "edit_slug": "edit/v/x84dd2381", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "extra_properties": {}, "node_slug": "v/moma-art-term-viscosity", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.mp4/N8GQQJZQrUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.mp4/N8GQQJZQrUc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N8GQQJZQrUc.m3u8/N8GQQJZQrUc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N8GQQJZQrUc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx84dd2381", "sha": "63167dc2fafc3afd11715017718566f36066ad8b", "translated_description": "To experiment on your own, take our online studio course Materials and Techniques of Postwar Abstract Painting. ", "image_url": "https://img.youtube.com/vi/N8GQQJZQrUc/hqdefault.jpg", "youtube_id": "N8GQQJZQrUc", "content_kind": "Video", "readable_id": "moma-art-term-viscosity"}], "twitter_url": "", "translated_description": "More than sixty years have passed since the critic Robert Coates, writing in \"The New Yorker\" in 1946, first used the term “Abstract Expressionism” to describe the richly colored canvases of Hans Hofmann. Over the years the name has come to designate the paintings and sculptures of artists as different as Jackson Pollock and Barnett Newman, Willem de Kooning and Mark Rothko, Lee Krasner and David Smith. Watch these short videos to explore some of the most important abstract art of the 20th century and the artists' experiments with techniques.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "More than sixty years have passed since the critic Robert Coates, writing in \"The New Yorker\" in 1946, first used the term “Abstract Expressionism” to describe the richly colored canvases of Hans Hofmann. Over the years the name has come to designate the paintings and sculptures of artists as different as Jackson Pollock and Barnett Newman, Willem de Kooning and Mark Rothko, Lee Krasner and David Smith. Watch these short videos to explore some of the most important abstract art of the 20th century and the artists' experiments with techniques.", "x_pos": 0.0, "node_slug": "moma-abstract-expressionism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:23Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4c66ac5f", "topic_page_url": "/partner-content/MoMA/moma-abstract-expressionism", "extended_slug": "partner-content/MoMA/moma-abstract-expressionism", "slug": "moma-abstract-expressionism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "56dc5be9b8a9c91453ebd8ab78c12223bad2c324", "standalone_title": "Abstract Expressionism", "y_pos": 0.0, "current_revision_key": "56dc5be9b8a9c91453ebd8ab78c12223bad2c324", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/moma-artist-interviews", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/moma-artist-interviews", "translated_standalone_title": "Artist interviews", "translated_title": "Artist interviews", "gplus_url": "", "id": "x7f8b142e", "old_key_name": null, "hide": false, "title": "Artist interviews", "child_data": [{"kind": "Video", "id": "x629a04ea"}, {"kind": "Video", "id": "xcd8a6b14"}, {"kind": "Video", "id": "x02870b71"}, {"kind": "Video", "id": "x75d1ad6c"}, {"kind": "Video", "id": "xde0a5d87"}, {"kind": "Video", "id": "x42ab23e9"}, {"kind": "Video", "id": "xc91ee09e"}, {"kind": "Video", "id": "x32845b8f"}, {"kind": "Video", "id": "x241aeb29"}, {"kind": "Video", "id": "x4ff11b89"}], "children": [{"translated_youtube_id": "txHg9ItLH3Y", "relative_url": "/video/moma-rosenquist-f111", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-rosenquist-f111", "duration": 103, "translated_title": "James Rosenquist, \"F-111,\" 1964-65", "translated_description_html": "

​James Rosenquist said about his 1964 painting, F111<\/em>, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x629a04ea", "description_html": "

​James Rosenquist said about his 1964 painting, F111<\/em>, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "James Rosenquist, \"F-111,\" 1964-65", "progress_key": "vx629a04ea", "edit_slug": "edit/v/x629a04ea", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "​James Rosenquist said about his 1964 painting, F111, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-rosenquist-f111", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.mp4/txHg9ItLH3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.mp4/txHg9ItLH3Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/txHg9ItLH3Y.m3u8/txHg9ItLH3Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=txHg9ItLH3Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx629a04ea", "sha": "f4a30069fb239d951d030b1df9e2b536b49b91dc", "translated_description": "​James Rosenquist said about his 1964 painting, F111, \"a multiplicity of ideas caused its existence.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/txHg9ItLH3Y/hqdefault.jpg", "youtube_id": "txHg9ItLH3Y", "content_kind": "Video", "readable_id": "moma-rosenquist-f111"}, {"translated_youtube_id": "Q7Qj1debVMM", "relative_url": "/video/moma-lee-quinones", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-lee-quinones", "duration": 84, "translated_title": "Lee Quinones on graffiti", "translated_description_html": "

Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.
<\/p>", "id": "xcd8a6b14", "description_html": "

Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.
<\/p>", "title": "Lee Quinones on graffiti", "progress_key": "vxcd8a6b14", "edit_slug": "edit/v/xcd8a6b14", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-lee-quinones", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q7Qj1debVMM.mp4/Q7Qj1debVMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q7Qj1debVMM.mp4/Q7Qj1debVMM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q7Qj1debVMM.m3u8/Q7Qj1debVMM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q7Qj1debVMM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcd8a6b14", "sha": "1ecc2dfe59b0be3f99c5b8421a85b036d54edfc4", "translated_description": "Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/Q7Qj1debVMM/hqdefault.jpg", "youtube_id": "Q7Qj1debVMM", "content_kind": "Video", "readable_id": "moma-lee-quinones"}, {"translated_youtube_id": "sOXeKd-6bSk", "relative_url": "/video/moma-studio-tour-lanigan-schmidt", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-studio-tour-lanigan-schmidt", "duration": 208, "translated_title": "Studio Tour: Thomas Lanigan-Schmidt", "translated_description_html": "

Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x02870b71", "description_html": "

Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Studio Tour: Thomas Lanigan-Schmidt", "progress_key": "vx02870b71", "edit_slug": "edit/v/x02870b71", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-studio-tour-lanigan-schmidt", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sOXeKd-6bSk.mp4/sOXeKd-6bSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sOXeKd-6bSk.mp4/sOXeKd-6bSk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sOXeKd-6bSk.m3u8/sOXeKd-6bSk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sOXeKd-6bSk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx02870b71", "sha": "26be867f4e6bfb58e983a61a0be559fda7cfabab", "translated_description": "Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/sOXeKd-6bSk/hqdefault.jpg", "youtube_id": "sOXeKd-6bSk", "content_kind": "Video", "readable_id": "moma-studio-tour-lanigan-schmidt"}, {"translated_youtube_id": "C_OmWlMjsxQ", "relative_url": "/video/moma-serra-intersection II", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-serra-intersection II", "duration": 218, "translated_title": "Richard Serra, \"Intersection II,\" 1992", "translated_description_html": "

Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x75d1ad6c", "description_html": "

Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Richard Serra, \"Intersection II,\" 1992", "progress_key": "vx75d1ad6c", "edit_slug": "edit/v/x75d1ad6c", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-serra-intersection II", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C_OmWlMjsxQ.mp4/C_OmWlMjsxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C_OmWlMjsxQ.mp4/C_OmWlMjsxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C_OmWlMjsxQ.m3u8/C_OmWlMjsxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C_OmWlMjsxQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx75d1ad6c", "sha": "cbecc6dc7e0b0ca8e9e81d1740e9456c680ec8df", "translated_description": "Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/C_OmWlMjsxQ/hqdefault.jpg", "youtube_id": "C_OmWlMjsxQ", "content_kind": "Video", "readable_id": "moma-serra-intersection II"}, {"translated_youtube_id": "ilWo7eWY73M", "relative_url": "/video/moma-serra-torqued-ellipse-iv", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-serra-torqued-ellipse-iv", "duration": 191, "translated_title": "Richard Serra, \"Torqued Ellipse IV,\" 1998", "translated_description_html": "

Richard Serra talks about discovering \"the potential for what steel could be.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xde0a5d87", "description_html": "

Richard Serra talks about discovering \"the potential for what steel could be.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Richard Serra, \"Torqued Ellipse IV,\" 1998", "progress_key": "vxde0a5d87", "edit_slug": "edit/v/xde0a5d87", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Richard Serra talks about discovering \"the potential for what steel could be.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-serra-torqued-ellipse-iv", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ilWo7eWY73M.mp4/ilWo7eWY73M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ilWo7eWY73M.mp4/ilWo7eWY73M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ilWo7eWY73M.m3u8/ilWo7eWY73M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ilWo7eWY73M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxde0a5d87", "sha": "78b5d7a117dd55c4f9a82669aa3984428324461d", "translated_description": "Richard Serra talks about discovering \"the potential for what steel could be.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/ilWo7eWY73M/hqdefault.jpg", "youtube_id": "ilWo7eWY73M", "content_kind": "Video", "readable_id": "moma-serra-torqued-ellipse-iv"}, {"translated_youtube_id": "GAQ9KyxDYUY", "relative_url": "/video/moma-serra-band", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-serra-band", "duration": 142, "translated_title": "Richard Serra, \"Band,\" 2006", "translated_description_html": "

Richard Serra on his sculpture, Band<\/em>: \"you can walk inside and outside continuously and never stop” for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x42ab23e9", "description_html": "

Richard Serra on his sculpture, Band<\/em>: \"you can walk inside and outside continuously and never stop” for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Richard Serra, \"Band,\" 2006", "progress_key": "vx42ab23e9", "edit_slug": "edit/v/x42ab23e9", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Richard Serra on his sculpture, Band: \"you can walk inside and outside continuously and never stop” for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-serra-band", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GAQ9KyxDYUY.mp4/GAQ9KyxDYUY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GAQ9KyxDYUY.mp4/GAQ9KyxDYUY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GAQ9KyxDYUY.m3u8/GAQ9KyxDYUY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GAQ9KyxDYUY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx42ab23e9", "sha": "b59b0319e6758d7ed70fc3c92b391ed45ecbd7d4", "translated_description": "Richard Serra on his sculpture, Band: \"you can walk inside and outside continuously and never stop” for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/GAQ9KyxDYUY/hqdefault.jpg", "youtube_id": "GAQ9KyxDYUY", "content_kind": "Video", "readable_id": "moma-serra-band"}, {"translated_youtube_id": "e-_92MYcANk", "relative_url": "/video/moma-laib-pollen-from-hazelnut", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-laib-pollen-from-hazelnut", "duration": 527, "translated_title": "Wolfgang Laib, \"Pollen from Hazelnut\"", "translated_description_html": "

Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xc91ee09e", "description_html": "

Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Wolfgang Laib, \"Pollen from Hazelnut\"", "progress_key": "vxc91ee09e", "edit_slug": "edit/v/xc91ee09e", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-laib-pollen-from-hazelnut", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.mp4/e-_92MYcANk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.mp4/e-_92MYcANk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e-_92MYcANk.m3u8/e-_92MYcANk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e-_92MYcANk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc91ee09e", "sha": "369c2aee67b72aec61c99f91f528c3ebf172e2e1", "translated_description": "Wolfgang Laib describes the pollen he collected over 27 years \"as the beginning of life.\"  To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/e-_92MYcANk/hqdefault.jpg", "youtube_id": "e-_92MYcANk", "content_kind": "Video", "readable_id": "moma-laib-pollen-from-hazelnut"}, {"translated_youtube_id": "AGXgGfA4PHA", "relative_url": "/video/moma-byrne-revisiting-the-quiet-man", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-byrne-revisiting-the-quiet-man", "duration": 234, "translated_title": "Gabriel Byrne revisiting \"The Quiet Man\"", "translated_description_html": "

Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x32845b8f", "description_html": "

Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Gabriel Byrne revisiting \"The Quiet Man\"", "progress_key": "vx32845b8f", "edit_slug": "edit/v/x32845b8f", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-byrne-revisiting-the-quiet-man", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AGXgGfA4PHA.mp4/AGXgGfA4PHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AGXgGfA4PHA.mp4/AGXgGfA4PHA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AGXgGfA4PHA.m3u8/AGXgGfA4PHA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AGXgGfA4PHA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx32845b8f", "sha": "aa1ecef3c08c8cbd8953cb1498e5222e93a529f1", "translated_description": "Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/AGXgGfA4PHA/hqdefault.jpg", "youtube_id": "AGXgGfA4PHA", "content_kind": "Video", "readable_id": "moma-byrne-revisiting-the-quiet-man"}, {"translated_youtube_id": "smo4OR3Gvq8", "relative_url": "/video/schneemann-on-line", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/schneemann-on-line", "duration": 167, "translated_title": "Carolee Schneemann, \"Up to and Including Her Limits\" ", "translated_description_html": "

Carolee Schneeman describes her piece Up to and Including Her Limits<\/em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x241aeb29", "description_html": "

Carolee Schneeman describes her piece Up to and Including Her Limits<\/em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Carolee Schneemann, \"Up to and Including Her Limits\" ", "progress_key": "vx241aeb29", "edit_slug": "edit/v/x241aeb29", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Carolee Schneeman describes her piece Up to and Including Her Limits as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/schneemann-on-line", "deleted": false, "backup_timestamp": "2013-10-19T02:30:22Z", "date_added": "2013-10-19T02:30:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.mp4/smo4OR3Gvq8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.mp4/smo4OR3Gvq8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/smo4OR3Gvq8.m3u8/smo4OR3Gvq8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=smo4OR3Gvq8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx241aeb29", "sha": "060dd9083f3c57007e4544714ec3e8e0b77f99a3", "translated_description": "Carolee Schneeman describes her piece Up to and Including Her Limits as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/smo4OR3Gvq8/hqdefault.jpg", "youtube_id": "smo4OR3Gvq8", "content_kind": "Video", "readable_id": "schneemann-on-line"}, {"translated_youtube_id": "AN2DJxMLFOw", "relative_url": "/video/Rockburne-Drawing", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Rockburne-Drawing", "duration": 236, "translated_title": "Dorothea Rockburne: Drawing Which Makes Itself", "translated_description_html": "

Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "id": "x4ff11b89", "description_html": "

Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online<\/a>.<\/p>", "title": "Dorothea Rockburne: Drawing Which Makes Itself", "progress_key": "vx4ff11b89", "edit_slug": "edit/v/x4ff11b89", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online.", "extra_properties": {}, "node_slug": "v/Rockburne-Drawing", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.mp4/AN2DJxMLFOw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.mp4/AN2DJxMLFOw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AN2DJxMLFOw.m3u8/AN2DJxMLFOw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AN2DJxMLFOw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4ff11b89", "sha": "de0c6cbbf1c6caf827f13778f15e487cb0062c8a", "translated_description": "Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of MoMA's courses online.", "image_url": "https://img.youtube.com/vi/AN2DJxMLFOw/hqdefault.jpg", "youtube_id": "AN2DJxMLFOw", "content_kind": "Video", "readable_id": "Rockburne-Drawing"}], "twitter_url": "", "translated_description": "Hear from contemporary artists as they share their art-making techniques and sources of inspiration. ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Hear from contemporary artists as they share their art-making techniques and sources of inspiration. ", "x_pos": 0.0, "node_slug": "moma-artist-interviews", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:23Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7f8b142e", "topic_page_url": "/partner-content/MoMA/moma-artist-interviews", "extended_slug": "partner-content/MoMA/moma-artist-interviews", "slug": "moma-artist-interviews", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fdceffef1c741a53f1893a477ac49d146c0f95ef", "standalone_title": "Artist interviews", "y_pos": 0.0, "current_revision_key": "fdceffef1c741a53f1893a477ac49d146c0f95ef", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/MoMA/artist-interview-performance", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/MoMA/artist-interview-performance", "translated_standalone_title": "Performance art: Marina Abramović", "translated_title": "Performance Art: Marina Abramović", "gplus_url": "", "id": "xc67dfcef", "old_key_name": null, "hide": false, "title": "Performance Art: Marina Abramović", "child_data": [{"kind": "Video", "id": "x0e6b03f7"}, {"kind": "Video", "id": "x2c8e53d6"}, {"kind": "Video", "id": "xfcc2fdf4"}, {"kind": "Video", "id": "xa0482a0d"}, {"kind": "Video", "id": "xf11284b9"}, {"kind": "Video", "id": "x505c9b75"}, {"kind": "Video", "id": "x1e4d8f3d"}, {"kind": "Video", "id": "x16929d12"}], "children": [{"translated_youtube_id": "2GD5PBK_Bto", "relative_url": "/video/moma-abramovic-live", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-live", "duration": 136, "translated_title": "Marina Abramović: Live at MoMA", "translated_description_html": "

Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x0e6b03f7", "description_html": "

Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: Live at MoMA", "progress_key": "vx0e6b03f7", "edit_slug": "edit/v/x0e6b03f7", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-live", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2GD5PBK_Bto.mp4/2GD5PBK_Bto.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2GD5PBK_Bto.mp4/2GD5PBK_Bto.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2GD5PBK_Bto.m3u8/2GD5PBK_Bto.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2GD5PBK_Bto&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0e6b03f7", "sha": "387c72f2de2b051ca1c57e095153aff21b304274", "translated_description": "Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/2GD5PBK_Bto/hqdefault.jpg", "youtube_id": "2GD5PBK_Bto", "content_kind": "Video", "readable_id": "moma-abramovic-live"}, {"translated_youtube_id": "FcyYynulogY", "relative_url": "/video/moma-abramovic-what-is-performance-art", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-what-is-performance-art", "duration": 116, "translated_title": "Marina Abramović: What is performance art?", "translated_description_html": "

Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x2c8e53d6", "description_html": "

Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: What is performance art?", "progress_key": "vx2c8e53d6", "edit_slug": "edit/v/x2c8e53d6", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-what-is-performance-art", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.mp4/FcyYynulogY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.mp4/FcyYynulogY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FcyYynulogY.m3u8/FcyYynulogY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FcyYynulogY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2c8e53d6", "sha": "fa0bdecc773d4308e8a04883eef9b78f43e068c1", "translated_description": "Marina Abramović talks about the difference between theatre and performance art, \"performance is real.\" To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/FcyYynulogY/hqdefault.jpg", "youtube_id": "FcyYynulogY", "content_kind": "Video", "readable_id": "moma-abramovic-what-is-performance-art"}, {"translated_youtube_id": "1DxZKAQ9WrM", "relative_url": "/video/moma-abramovic-first-performance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-first-performance", "duration": 87, "translated_title": "Marina Abramović: Marina's first performance", "translated_description_html": "

Marina Abramović talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xfcc2fdf4", "description_html": "

Marina Abramović talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: Marina's first performance", "progress_key": "vxfcc2fdf4", "edit_slug": "edit/v/xfcc2fdf4", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-first-performance", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1DxZKAQ9WrM.mp4/1DxZKAQ9WrM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1DxZKAQ9WrM.mp4/1DxZKAQ9WrM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1DxZKAQ9WrM.m3u8/1DxZKAQ9WrM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1DxZKAQ9WrM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfcc2fdf4", "sha": "66b72bcfc4943320a4bcd49d94c54fbc07349a6e", "translated_description": "Marina Abramović talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/1DxZKAQ9WrM/hqdefault.jpg", "youtube_id": "1DxZKAQ9WrM", "content_kind": "Video", "readable_id": "moma-abramovic-first-performance"}, {"translated_youtube_id": "OUrwdqwzqMU", "relative_url": "/video/moma-abramovic-body-as-a-medium", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-body-as-a-medium", "duration": 100, "translated_title": "Marina Abramović: The Body as medium", "translated_description_html": "

Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xa0482a0d", "description_html": "

Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: The Body as medium", "progress_key": "vxa0482a0d", "edit_slug": "edit/v/xa0482a0d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-body-as-a-medium", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.mp4/OUrwdqwzqMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.mp4/OUrwdqwzqMU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OUrwdqwzqMU.m3u8/OUrwdqwzqMU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OUrwdqwzqMU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa0482a0d", "sha": "cb37b14d99e9c9cb8b3b7b18a98c8cdb2f02d4d3", "translated_description": "Marina Abramović talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/OUrwdqwzqMU/hqdefault.jpg", "youtube_id": "OUrwdqwzqMU", "content_kind": "Video", "readable_id": "moma-abramovic-body-as-a-medium"}, {"translated_youtube_id": "6Rp_av9kLPM", "relative_url": "/video/moma-abramovic-documenting-performance", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-documenting-performance", "duration": 106, "translated_title": "Marina Abramović: Documenting performance", "translated_description_html": "

Marina Abramović talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "xf11284b9", "description_html": "

Marina Abramović talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: Documenting performance", "progress_key": "vxf11284b9", "edit_slug": "edit/v/xf11284b9", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-documenting-performance", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Rp_av9kLPM.mp4/6Rp_av9kLPM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Rp_av9kLPM.mp4/6Rp_av9kLPM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Rp_av9kLPM.m3u8/6Rp_av9kLPM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Rp_av9kLPM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf11284b9", "sha": "3bb02a686e84a95cb9dedff1169402129abd34ff", "translated_description": "Marina Abramović talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/6Rp_av9kLPM/hqdefault.jpg", "youtube_id": "6Rp_av9kLPM", "content_kind": "Video", "readable_id": "moma-abramovic-documenting-performance"}, {"translated_youtube_id": "ppOipR32GOk", "relative_url": "/video/moma-abramovic-teaching-next-generation", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-teaching-next-generation", "duration": 136, "translated_title": "Marina Abramović: Teaching the next generation", "translated_description_html": "

Marina Abramović talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x505c9b75", "description_html": "

Marina Abramović talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: Teaching the next generation", "progress_key": "vx505c9b75", "edit_slug": "edit/v/x505c9b75", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Marina Abramović talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-teaching-next-generation", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ppOipR32GOk.mp4/ppOipR32GOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ppOipR32GOk.mp4/ppOipR32GOk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ppOipR32GOk.m3u8/ppOipR32GOk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ppOipR32GOk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx505c9b75", "sha": "9df56db8e13e3f25cc5b32bb3ac109162e54c9ca", "translated_description": "Marina Abramović talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/ppOipR32GOk/hqdefault.jpg", "youtube_id": "ppOipR32GOk", "content_kind": "Video", "readable_id": "moma-abramovic-teaching-next-generation"}, {"translated_youtube_id": "1RxngIFOGas", "relative_url": "/video/moma-abramovic-cleaning-the-house", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-cleaning-the-house", "duration": 141, "translated_title": "Marina Abramović: \"Cleaning the House\" workshop", "translated_description_html": "

Performance artists talk about their workshop with Marina Abramović in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "id": "x1e4d8f3d", "description_html": "

Performance artists talk about their workshop with Marina Abramović in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.<\/p>", "title": "Marina Abramović: \"Cleaning the House\" workshop", "progress_key": "vx1e4d8f3d", "edit_slug": "edit/v/x1e4d8f3d", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "Performance artists talk about their workshop with Marina Abramović in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-cleaning-the-house", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1RxngIFOGas.mp4/1RxngIFOGas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1RxngIFOGas.mp4/1RxngIFOGas.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1RxngIFOGas.m3u8/1RxngIFOGas.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1RxngIFOGas&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1e4d8f3d", "sha": "336d21c7a8649438eb7eefc897679e6cf420c428", "translated_description": "Performance artists talk about their workshop with Marina Abramović in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/1RxngIFOGas/hqdefault.jpg", "youtube_id": "1RxngIFOGas", "content_kind": "Video", "readable_id": "moma-abramovic-cleaning-the-house"}, {"translated_youtube_id": "BYSE5ZUsrRg", "relative_url": "/video/moma-abramovic-performance-vs-acting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/moma-abramovic-performance-vs-acting", "duration": 237, "translated_title": "Marina Abramović: Performance vs. acting", "translated_description_html": "

MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramović and actor James Franco. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.
<\/p>", "id": "x16929d12", "description_html": "

MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramović and actor James Franco. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989<\/a>.
<\/p>", "title": "Marina Abramović: Performance vs. acting", "progress_key": "vx16929d12", "edit_slug": "edit/v/x16929d12", "author_names": ["The Museum of Modern Art"], "deleted_mod_time": null, "description": "MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramović and actor James Franco. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "extra_properties": {}, "node_slug": "v/moma-abramovic-performance-vs-acting", "deleted": false, "backup_timestamp": "2013-10-19T02:30:23Z", "date_added": "2013-10-19T02:30:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/BYSE5ZUsrRg.mp4/BYSE5ZUsrRg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BYSE5ZUsrRg.mp4/BYSE5ZUsrRg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BYSE5ZUsrRg.m3u8/BYSE5ZUsrRg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=BYSE5ZUsrRg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx16929d12", "sha": "d24012935beee9804ae9da0b5139e7f8a639d571", "translated_description": "MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramović and actor James Franco. To learn more about what artists have to say, take our online course, Modern and Contemporary Art, 1945-1989.", "image_url": "https://img.youtube.com/vi/BYSE5ZUsrRg/hqdefault.jpg", "youtube_id": "BYSE5ZUsrRg", "content_kind": "Video", "readable_id": "moma-abramovic-performance-vs-acting"}], "twitter_url": "", "translated_description": "A pioneer of performance art, Marina Abramović began using her own body as the subject, object, and medium of her work in the early 1970s. In 2010, MoMA presented a retrospective tracing the prolific career of this influential artist including her performance piece \"The Artist is Present,\" one of the longest pieces of performance art on record.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "A pioneer of performance art, Marina Abramović began using her own body as the subject, object, and medium of her work in the early 1970s. In 2010, MoMA presented a retrospective tracing the prolific career of this influential artist including her performance piece \"The Artist is Present,\" one of the longest pieces of performance art on record.", "x_pos": 0.0, "node_slug": "artist-interview-performance", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-19T02:30:23Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc67dfcef", "topic_page_url": "/partner-content/MoMA/artist-interview-performance", "extended_slug": "partner-content/MoMA/artist-interview-performance", "slug": "artist-interview-performance", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "47be45ba64c9dfe5cabc7fe9a984405a372f5bcb", "standalone_title": "Performance art: Marina Abramović", "y_pos": 0.0, "current_revision_key": "47be45ba64c9dfe5cabc7fe9a984405a372f5bcb", "content_kind": "Topic"}], "twitter_url": "https://twitter.com/MuseumModernArt", "translated_description": "With the world's finest collection of modern and contemporary art and a dynamic exhibition program, The Museum of Modern Art is a place for discovery and engagement that fuels creativity and inspires art enthusiasts of all ages and experiences. In the MoMA tutorials, you can explore the fascinating world of modern and contemporary artworks through artist interviews, behind-the-scenes, and how-to videos.", "deleted_mod_time": null, "logo_image_url": "https://ka-perseus-images.s3.amazonaws.com/8c4c898fc5425efa2b28c3e894b3216d84666712.png", "in_knowledge_map": false, "description": "With the world's finest collection of modern and contemporary art and a dynamic exhibition program, The Museum of Modern Art is a place for discovery and engagement that fuels creativity and inspires art enthusiasts of all ages and experiences. In the MoMA tutorials, you can explore the fascinating world of modern and contemporary artworks through artist interviews, behind-the-scenes, and how-to videos.", "x_pos": 0.0, "node_slug": "MoMA", "deleted": false, "facebook_url": "https://www.facebook.com/MuseumofModernArt", "backup_timestamp": "2013-10-19T02:27:03Z", "render_type": "Subject", "background_image_url": "https://ka-perseus-images.s3.amazonaws.com/7ffe9c64b828213a654705bf2eaf211e78049563.jpeg", "background_image_caption": "Young visitor in MoMA's galleries. Shown: Henri Matisse. Dance (I).<\/em> 1909. Oil on canvas. The Museum of Modern Art, New York. Gift of Nelson A. Rockefeller in honor of Alfred H. Barr, Jr. © 2013 Succession H. Matisse, Paris/Artists Rights Society (ARS), New York. Photo: Martin Seck", "assessment_progress_key": "axeb48c24e", "topic_page_url": "/partner-content/MoMA", "extended_slug": "partner-content/MoMA", "slug": "MoMA", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f29df5fbf5ea788426c92fa1dc34f03bab69d255", "standalone_title": "The Museum of Modern Art", "y_pos": 0.0, "current_revision_key": "f29df5fbf5ea788426c92fa1dc34f03bab69d255", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum", "web_url": "http://www.getty.edu/museum/", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum", "translated_standalone_title": "J. Paul Getty Museum", "translated_title": "The J. Paul Getty Museum", "gplus_url": "https://plus.google.com/113616727255757210405/posts", "id": "xd45c6cf9", "old_key_name": null, "hide": false, "title": "The J. Paul Getty Museum", "child_data": [{"kind": "Topic", "id": "x6503c586"}, {"kind": "Topic", "id": "x6182c282"}, {"kind": "Topic", "id": "x267a15ee"}, {"kind": "Topic", "id": "x33941cf7"}, {"kind": "Topic", "id": "xe8a7ce70"}, {"kind": "Topic", "id": "x07b93bde"}, {"kind": "Topic", "id": "x89ec6be6"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/making-art", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/making-art", "translated_standalone_title": "Making Art", "translated_title": "Making art", "gplus_url": "", "id": "x6503c586", "old_key_name": null, "hide": false, "title": "Making art", "child_data": [{"kind": "Video", "id": "x5fe9ca9d"}, {"kind": "Video", "id": "x71511f31"}, {"kind": "Video", "id": "xbc50665f"}, {"kind": "Video", "id": "x81fc9897"}, {"kind": "Video", "id": "x9c2a9215"}, {"kind": "Video", "id": "x355b8254"}, {"kind": "Video", "id": "xed065984"}, {"kind": "Video", "id": "x6815ba84"}, {"kind": "Video", "id": "x9f0eb6d5"}, {"kind": "Video", "id": "x82d1f4f4"}, {"kind": "Video", "id": "x91943dbd"}, {"kind": "Video", "id": "xf3640cd8"}, {"kind": "Video", "id": "x589cbccd"}, {"kind": "Video", "id": "xf377e62a"}, {"kind": "Video", "id": "x88eba800"}, {"kind": "Video", "id": "x8c488fdf"}, {"kind": "Video", "id": "x05723c67"}, {"kind": "Video", "id": "x8d7334ba"}, {"kind": "Video", "id": "xd50f0896"}, {"kind": "Video", "id": "x7383cb71"}, {"kind": "Video", "id": "x7e438cdb"}], "children": [{"translated_youtube_id": "WhPW50r07L8", "relative_url": "/video/making-greek-vases", "has_questions": false, "keywords": "art history", "ka_url": "http://www.khanacademy.org/video/making-greek-vases", "duration": 260, "translated_title": "Making Greek vases", "translated_description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "id": "x5fe9ca9d", "description_html": "

In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+<\/a><\/p>", "title": "Making Greek vases", "progress_key": "vx5fe9ca9d", "edit_slug": "edit/v/x5fe9ca9d", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-greek-vases", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.mp4/WhPW50r07L8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WhPW50r07L8.m3u8/WhPW50r07L8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WhPW50r07L8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5fe9ca9d", "sha": "b9799a7f980c1833a0b0dabdb36f3ec5dc13a25e", "translated_description": "In ancient Greece, the phrase \"to make pottery\" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WhPW50r07L8/hqdefault.jpg", "youtube_id": "WhPW50r07L8", "content_kind": "Video", "readable_id": "making-greek-vases"}, {"translated_youtube_id": "hHC8COp_r_g", "relative_url": "/video/making-molded-athenian-vase", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-molded-athenian-vase", "duration": 336, "translated_title": "Making a molded Athenian vase", "translated_description_html": "

Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x71511f31", "description_html": "

Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Making a molded Athenian vase", "progress_key": "vx71511f31", "edit_slug": "edit/v/x71511f31", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/making-molded-athenian-vase", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hHC8COp_r_g.mp4/hHC8COp_r_g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hHC8COp_r_g.mp4/hHC8COp_r_g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hHC8COp_r_g.m3u8/hHC8COp_r_g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hHC8COp_r_g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx71511f31", "sha": "cead6b10aa2e151af86f464be92a2f04d1581746", "translated_description": "Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/hHC8COp_r_g/hqdefault.jpg", "youtube_id": "hHC8COp_r_g", "content_kind": "Video", "readable_id": "making-molded-athenian-vase"}, {"translated_youtube_id": "1B-0OIfyZvs", "relative_url": "/video/making-maiolica", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-maiolica", "duration": 174, "translated_title": "Making maiolica", "translated_description_html": "

Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? Follow us on Google+<\/a><\/p>", "id": "xbc50665f", "description_html": "

Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? Follow us on Google+<\/a><\/p>", "title": "Making maiolica", "progress_key": "vxbc50665f", "edit_slug": "edit/v/xbc50665f", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/making-maiolica", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1B-0OIfyZvs.mp4/1B-0OIfyZvs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1B-0OIfyZvs.mp4/1B-0OIfyZvs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1B-0OIfyZvs.m3u8/1B-0OIfyZvs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1B-0OIfyZvs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbc50665f", "sha": "a686744cdcfec1de26413d2338c08be7b22196a0", "translated_description": "Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/1B-0OIfyZvs/hqdefault.jpg", "youtube_id": "1B-0OIfyZvs", "content_kind": "Video", "readable_id": "making-maiolica"}, {"translated_youtube_id": "PWUuGDovHEI", "relative_url": "/video/carving-marble-with-traditional-tools", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/carving-marble-with-traditional-tools", "duration": 168, "translated_title": "Carving marble with traditional tools", "translated_description_html": "

Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+<\/a><\/p>", "id": "x81fc9897", "description_html": "

Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+<\/a><\/p>", "title": "Carving marble with traditional tools", "progress_key": "vx81fc9897", "edit_slug": "edit/v/x81fc9897", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/carving-marble-with-traditional-tools", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.mp4/PWUuGDovHEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.mp4/PWUuGDovHEI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PWUuGDovHEI.m3u8/PWUuGDovHEI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PWUuGDovHEI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx81fc9897", "sha": "400a27ad30b0e0af52471c5cb3ac7cc92f4932ab", "translated_description": "Watch a sculptor demonstrate the use of traditional tools—such as the tooth chisel, the point chisel, the drill, and the rasp—as he creates a finished figure  from a block of marble. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/PWUuGDovHEI/hqdefault.jpg", "youtube_id": "PWUuGDovHEI", "content_kind": "Video", "readable_id": "carving-marble-with-traditional-tools"}, {"translated_youtube_id": "xgTpGASqrKY", "relative_url": "/video/the-art-of-gem-carving", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-art-of-gem-carving", "duration": 249, "translated_title": "The art of gem carving", "translated_description_html": "

Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+<\/a>
Love art? Follow us on Google+ to stay in touch:<\/span>
http://bit.ly/gettygoogleplus<\/a><\/p>", "id": "x9c2a9215", "description_html": "

Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+<\/a>
Love art? Follow us on Google+ to stay in touch:<\/span>
http://bit.ly/gettygoogleplus<\/a><\/p>", "title": "The art of gem carving", "progress_key": "vx9c2a9215", "edit_slug": "edit/v/x9c2a9215", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+Love art? Follow us on Google+ to stay in touch:http://bit.ly/gettygoogleplus", "extra_properties": {"original_url": ""}, "node_slug": "v/the-art-of-gem-carving", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.mp4/xgTpGASqrKY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.mp4/xgTpGASqrKY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xgTpGASqrKY.m3u8/xgTpGASqrKY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xgTpGASqrKY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9c2a9215", "sha": "b1febec4efff4e862d106abdd46fd5d0600efbc9", "translated_description": "Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? Follow us on Google+Love art? Follow us on Google+ to stay in touch:http://bit.ly/gettygoogleplus", "image_url": "https://img.youtube.com/vi/xgTpGASqrKY/hqdefault.jpg", "youtube_id": "xgTpGASqrKY", "content_kind": "Video", "readable_id": "the-art-of-gem-carving"}, {"translated_youtube_id": "4AR_KftDRs4", "relative_url": "/video/casting-bronze-indirect-lost-wax", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/casting-bronze-indirect-lost-wax", "duration": 370, "translated_title": "Casting bronze: indirect lost-wax method", "translated_description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "id": "x355b8254", "description_html": "

Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+<\/a><\/p>", "title": "Casting bronze: indirect lost-wax method", "progress_key": "vx355b8254", "edit_slug": "edit/v/x355b8254", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/casting-bronze-indirect-lost-wax", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.mp4/4AR_KftDRs4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4AR_KftDRs4.m3u8/4AR_KftDRs4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4AR_KftDRs4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx355b8254", "sha": "cd85e46a964d6e2b38f63b348d5c1899487ef3b0", "translated_description": "Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/4AR_KftDRs4/hqdefault.jpg", "youtube_id": "4AR_KftDRs4", "content_kind": "Video", "readable_id": "casting-bronze-indirect-lost-wax"}, {"translated_youtube_id": "JiofOv18o2M", "relative_url": "/video/de-vries-bronze-casting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/de-vries-bronze-casting", "duration": 518, "translated_title": "Adriaen de Vries's bronze casting technique: direct lost-wax method", "translated_description_html": "

Adriaen de Vries, a 17th century Dutch sculptor, often used \"direct lost-wax casting.\" Because the wax is \"lost,\" each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? Follow us on Google+<\/a><\/p>", "id": "xed065984", "description_html": "

Adriaen de Vries, a 17th century Dutch sculptor, often used \"direct lost-wax casting.\" Because the wax is \"lost,\" each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? Follow us on Google+<\/a><\/p>", "title": "Adriaen de Vries's bronze casting technique: direct lost-wax method", "progress_key": "vxed065984", "edit_slug": "edit/v/xed065984", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Adriaen de Vries, a 17th century Dutch sculptor, often used \"direct lost-wax casting.\" Because the wax is \"lost,\" each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/de-vries-bronze-casting", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JiofOv18o2M.mp4/JiofOv18o2M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JiofOv18o2M.mp4/JiofOv18o2M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JiofOv18o2M.m3u8/JiofOv18o2M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JiofOv18o2M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxed065984", "sha": "9248ecd24801cefb7f1f5c1d660125d74a637760", "translated_description": "Adriaen de Vries, a 17th century Dutch sculptor, often used \"direct lost-wax casting.\" Because the wax is \"lost,\" each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/JiofOv18o2M/hqdefault.jpg", "youtube_id": "JiofOv18o2M", "content_kind": "Video", "readable_id": "de-vries-bronze-casting"}, {"translated_youtube_id": "QExvrgjEqoQ", "relative_url": "/video/glassmaking-technique-mold-blown-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-mold-blown-glass", "duration": 109, "translated_title": "Glassmaking technique: mold-blown glass", "translated_description_html": "

Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "x6815ba84", "description_html": "

Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: mold-blown glass", "progress_key": "vx6815ba84", "edit_slug": "edit/v/x6815ba84", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-mold-blown-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QExvrgjEqoQ.mp4/QExvrgjEqoQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QExvrgjEqoQ.mp4/QExvrgjEqoQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QExvrgjEqoQ.m3u8/QExvrgjEqoQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QExvrgjEqoQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6815ba84", "sha": "906f19ca6cb55482e366ce8aa84299a4578c51fe", "translated_description": "Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/QExvrgjEqoQ/hqdefault.jpg", "youtube_id": "QExvrgjEqoQ", "content_kind": "Video", "readable_id": "glassmaking-technique-mold-blown-glass"}, {"translated_youtube_id": "sqnrJMTp9dc", "relative_url": "/video/glassmaking-technique-free-blown-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-free-blown-glass", "duration": 124, "translated_title": "Glassmaking technique: free-blown glass", "translated_description_html": "

Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "x9f0eb6d5", "description_html": "

Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: free-blown glass", "progress_key": "vx9f0eb6d5", "edit_slug": "edit/v/x9f0eb6d5", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-free-blown-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.mp4/sqnrJMTp9dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.mp4/sqnrJMTp9dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sqnrJMTp9dc.m3u8/sqnrJMTp9dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sqnrJMTp9dc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9f0eb6d5", "sha": "0d2c06f32aa6aee8db61dc9fe4e95211121f4207", "translated_description": "Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/sqnrJMTp9dc/hqdefault.jpg", "youtube_id": "sqnrJMTp9dc", "content_kind": "Video", "readable_id": "glassmaking-technique-free-blown-glass"}, {"translated_youtube_id": "PMNIEfo6vZY", "relative_url": "/video/glassmaking-technique-roman-mold-blown-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-roman-mold-blown-glass", "duration": 88, "translated_title": "Glassmaking technique: Roman mold-blown glass", "translated_description_html": "

Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+<\/a><\/p>", "id": "x82d1f4f4", "description_html": "

Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: Roman mold-blown glass", "progress_key": "vx82d1f4f4", "edit_slug": "edit/v/x82d1f4f4", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-roman-mold-blown-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.mp4/PMNIEfo6vZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.mp4/PMNIEfo6vZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PMNIEfo6vZY.m3u8/PMNIEfo6vZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PMNIEfo6vZY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx82d1f4f4", "sha": "179e0b54736c00fd6a7d3c3f7cf48e24f04b37e8", "translated_description": "Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/PMNIEfo6vZY/hqdefault.jpg", "youtube_id": "PMNIEfo6vZY", "content_kind": "Video", "readable_id": "glassmaking-technique-roman-mold-blown-glass"}, {"translated_youtube_id": "iBZb2bkn4KU", "relative_url": "/video/glassmaking-technique-core-formed-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-core-formed-glass", "duration": 127, "translated_title": "Glassmaking technique: core-formed glass", "translated_description_html": "

Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "x91943dbd", "description_html": "

Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: core-formed glass", "progress_key": "vx91943dbd", "edit_slug": "edit/v/x91943dbd", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-core-formed-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iBZb2bkn4KU.mp4/iBZb2bkn4KU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iBZb2bkn4KU.mp4/iBZb2bkn4KU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iBZb2bkn4KU.m3u8/iBZb2bkn4KU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iBZb2bkn4KU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx91943dbd", "sha": "af8bf1ee0a03e27ff27a9aad23a8c36ecfd1a628", "translated_description": "Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/iBZb2bkn4KU/hqdefault.jpg", "youtube_id": "iBZb2bkn4KU", "content_kind": "Video", "readable_id": "glassmaking-technique-core-formed-glass"}, {"translated_youtube_id": "5qgtWunYHwQ", "relative_url": "/video/glassmaking-technique-mosaic-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-mosaic-glass", "duration": 171, "translated_title": "Glassmaking technique: mosaic glass", "translated_description_html": "

Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "xf3640cd8", "description_html": "

Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: mosaic glass", "progress_key": "vxf3640cd8", "edit_slug": "edit/v/xf3640cd8", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-mosaic-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.mp4/5qgtWunYHwQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.mp4/5qgtWunYHwQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5qgtWunYHwQ.m3u8/5qgtWunYHwQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5qgtWunYHwQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf3640cd8", "sha": "222a97e5e05e887943ba9e92011d0226b8503e90", "translated_description": "Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/5qgtWunYHwQ/hqdefault.jpg", "youtube_id": "5qgtWunYHwQ", "content_kind": "Video", "readable_id": "glassmaking-technique-mosaic-glass"}, {"translated_youtube_id": "FpI2PhJn86s", "relative_url": "/video/glassmaking-technique-cameo-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-cameo-glass", "duration": 158, "translated_title": "Glassmaking technique: cameo glass", "translated_description_html": "

Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "x589cbccd", "description_html": "

Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: cameo glass", "progress_key": "vx589cbccd", "edit_slug": "edit/v/x589cbccd", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-cameo-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FpI2PhJn86s.mp4/FpI2PhJn86s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FpI2PhJn86s.mp4/FpI2PhJn86s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FpI2PhJn86s.m3u8/FpI2PhJn86s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FpI2PhJn86s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx589cbccd", "sha": "fb8d711ac90cb6f3a87c9aa53316eb18ecaa06b5", "translated_description": "Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/FpI2PhJn86s/hqdefault.jpg", "youtube_id": "FpI2PhJn86s", "content_kind": "Video", "readable_id": "glassmaking-technique-cameo-glass"}, {"translated_youtube_id": "cObJ3P6QyWQ", "relative_url": "/video/glassmaking-technique-gold-glass", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/glassmaking-technique-gold-glass", "duration": 165, "translated_title": "Glassmaking technique: gold glass", "translated_description_html": "

Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "id": "xf377e62a", "description_html": "

Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? Follow us on Google+<\/a><\/p>", "title": "Glassmaking technique: gold glass", "progress_key": "vxf377e62a", "edit_slug": "edit/v/xf377e62a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/glassmaking-technique-gold-glass", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cObJ3P6QyWQ.mp4/cObJ3P6QyWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cObJ3P6QyWQ.mp4/cObJ3P6QyWQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cObJ3P6QyWQ.m3u8/cObJ3P6QyWQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cObJ3P6QyWQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf377e62a", "sha": "3e51bb524523d2f49d951ff30fa2fe0a38c7ab0d", "translated_description": "Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/cObJ3P6QyWQ/hqdefault.jpg", "youtube_id": "cObJ3P6QyWQ", "content_kind": "Video", "readable_id": "glassmaking-technique-gold-glass"}, {"translated_youtube_id": "WVyusmjiTXI", "relative_url": "/video/gold-ground-panel-painting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gold-ground-panel-painting", "duration": 623, "translated_title": "Gold-ground panel painting", "translated_description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "id": "x88eba800", "description_html": "

Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+<\/a><\/p>", "title": "Gold-ground panel painting", "progress_key": "vx88eba800", "edit_slug": "edit/v/x88eba800", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/gold-ground-panel-painting", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.mp4/WVyusmjiTXI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WVyusmjiTXI.m3u8/WVyusmjiTXI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WVyusmjiTXI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx88eba800", "sha": "5959fac7e64730abef7dd9a15777511fcc1215d5", "translated_description": "Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WVyusmjiTXI/hqdefault.jpg", "youtube_id": "WVyusmjiTXI", "content_kind": "Video", "readable_id": "gold-ground-panel-painting"}, {"translated_youtube_id": "9JcpyE01Yzc", "relative_url": "/video/inlay-technique-marquetry", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/inlay-technique-marquetry", "duration": 154, "translated_title": "The inlay technique of marquetry", "translated_description_html": "

During the 1700s, French furniture makers perfected the art of \"painting in wood,\" creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? Follow us on Google+<\/a><\/p>", "id": "x8c488fdf", "description_html": "

During the 1700s, French furniture makers perfected the art of \"painting in wood,\" creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? Follow us on Google+<\/a><\/p>", "title": "The inlay technique of marquetry", "progress_key": "vx8c488fdf", "edit_slug": "edit/v/x8c488fdf", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "During the 1700s, French furniture makers perfected the art of \"painting in wood,\" creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/inlay-technique-marquetry", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9JcpyE01Yzc.mp4/9JcpyE01Yzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9JcpyE01Yzc.mp4/9JcpyE01Yzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9JcpyE01Yzc.m3u8/9JcpyE01Yzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9JcpyE01Yzc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8c488fdf", "sha": "e7f501ed75729acbe11621d8ce29acd892824f4e", "translated_description": "During the 1700s, French furniture makers perfected the art of \"painting in wood,\" creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/9JcpyE01Yzc/hqdefault.jpg", "youtube_id": "9JcpyE01Yzc", "content_kind": "Video", "readable_id": "inlay-technique-marquetry"}, {"translated_youtube_id": "9Wb-T1F033Q", "relative_url": "/video/making-spanish-polychrome-sculpture", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-spanish-polychrome-sculpture", "duration": 723, "translated_title": "Making a Spanish polychrome sculpture", "translated_description_html": "

17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—<\/em>painting and incising to portray silk fabrics, and encarnaciones—<\/em>for the hair and skin. Love art? Follow us on Google+<\/a><\/p>", "id": "x05723c67", "description_html": "

17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—<\/em>painting and incising to portray silk fabrics, and encarnaciones—<\/em>for the hair and skin. Love art? Follow us on Google+<\/a><\/p>", "title": "Making a Spanish polychrome sculpture", "progress_key": "vx05723c67", "edit_slug": "edit/v/x05723c67", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—painting and incising to portray silk fabrics, and encarnaciones—for the hair and skin. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-spanish-polychrome-sculpture", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.mp4/9Wb-T1F033Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.mp4/9Wb-T1F033Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9Wb-T1F033Q.m3u8/9Wb-T1F033Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9Wb-T1F033Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx05723c67", "sha": "50ff8759ebd85de9ffc38ccfef451e490ed5f6e5", "translated_description": "17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques estofado—painting and incising to portray silk fabrics, and encarnaciones—for the hair and skin. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/9Wb-T1F033Q/hqdefault.jpg", "youtube_id": "9Wb-T1F033Q", "content_kind": "Video", "readable_id": "making-spanish-polychrome-sculpture"}, {"translated_youtube_id": "NJknAo0temI", "relative_url": "/video/making-of-japanese-lacquer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-of-japanese-lacquer", "duration": 869, "translated_title": "Bone, flesh, skin: The making of Japanese lacquer", "translated_description_html": "

Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+<\/a><\/p>", "id": "x8d7334ba", "description_html": "

Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+<\/a><\/p>", "title": "Bone, flesh, skin: The making of Japanese lacquer", "progress_key": "vx8d7334ba", "edit_slug": "edit/v/x8d7334ba", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/making-of-japanese-lacquer", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.mp4/NJknAo0temI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.mp4/NJknAo0temI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NJknAo0temI.m3u8/NJknAo0temI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NJknAo0temI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8d7334ba", "sha": "ce96a4d4c1d014bed2e5012f70fb4056827ffe76", "translated_description": "Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/NJknAo0temI/hqdefault.jpg", "youtube_id": "NJknAo0temI", "content_kind": "Video", "readable_id": "making-of-japanese-lacquer"}, {"translated_youtube_id": "EblnaLMjdNg", "relative_url": "/video/unlocking-18th-c-french-mechanical-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/unlocking-18th-c-french-mechanical-table", "duration": 160, "translated_title": "Unlocking an 18th-century French mechanical table", "translated_description_html": "

With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+<\/a><\/p>", "id": "xd50f0896", "description_html": "

With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+<\/a><\/p>", "title": "Unlocking an 18th-century French mechanical table", "progress_key": "vxd50f0896", "edit_slug": "edit/v/xd50f0896", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/unlocking-18th-c-french-mechanical-table", "deleted": false, "backup_timestamp": "2013-11-04T22:16:48Z", "date_added": "2013-11-04T22:16:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.mp4/EblnaLMjdNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.mp4/EblnaLMjdNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EblnaLMjdNg.m3u8/EblnaLMjdNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EblnaLMjdNg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd50f0896", "sha": "4f851df50f734304c9ac38c6939f615d75f0a8d4", "translated_description": "With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/EblnaLMjdNg/hqdefault.jpg", "youtube_id": "EblnaLMjdNg", "content_kind": "Video", "readable_id": "unlocking-18th-c-french-mechanical-table"}, {"translated_youtube_id": "m5OxVgH-T1I", "relative_url": "/video/18th-c-french-mechanical-table", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/18th-c-french-mechanical-table", "duration": 123, "translated_title": "Construction of an 18th-c French mechanical table", "translated_description_html": "

The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+<\/a><\/span><\/p>", "id": "x7383cb71", "description_html": "

The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+<\/a><\/span><\/p>", "title": "Construction of an 18th-c French mechanical table", "progress_key": "vx7383cb71", "edit_slug": "edit/v/x7383cb71", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/18th-c-french-mechanical-table", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.mp4/m5OxVgH-T1I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.mp4/m5OxVgH-T1I.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m5OxVgH-T1I.m3u8/m5OxVgH-T1I.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m5OxVgH-T1I&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7383cb71", "sha": "33c6e8533b7242ba9d10d781cd77014b9b5e11f5", "translated_description": "The innovative mechanics and artistry of Jean-François Oeben's table continue to amaze. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/m5OxVgH-T1I/hqdefault.jpg", "youtube_id": "m5OxVgH-T1I", "content_kind": "Video", "readable_id": "18th-c-french-mechanical-table"}, {"translated_youtube_id": "exBNBmf-my8", "relative_url": "/video/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "duration": 619, "translated_title": "Jim Dine's \"Poet Singing (The Flowering Sheets):\" a documentary", "translated_description_html": "

In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+<\/a><\/p>", "id": "x7e438cdb", "description_html": "

In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+<\/a><\/p>", "title": "Jim Dine's \"Poet Singing (The Flowering Sheets):\" a documentary", "progress_key": "vx7e438cdb", "edit_slug": "edit/v/x7e438cdb", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/jim-dine-s-poet-singing-the-flowering-sheets-a-documentary", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.mp4/exBNBmf-my8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.mp4/exBNBmf-my8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/exBNBmf-my8.m3u8/exBNBmf-my8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=exBNBmf-my8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7e438cdb", "sha": "2dde927303cc3b0d23247cb02894a775468253e0", "translated_description": "In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum's collection. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/exBNBmf-my8/hqdefault.jpg", "youtube_id": "exBNBmf-my8", "content_kind": "Video", "readable_id": "jim-dine-s-poet-singing-the-flowering-sheets-a-documentary"}], "twitter_url": "", "translated_description": "Carved carnelians, painted parchment, finessed flesh tones... explore art techniques in these videos.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Carved carnelians, painted parchment, finessed flesh tones... explore art techniques in these videos.", "x_pos": 0.0, "node_slug": "making-art", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6503c586", "topic_page_url": "/partner-content/getty-museum/making-art", "extended_slug": "partner-content/getty-museum/making-art", "slug": "making-art", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "149d7813f29b50a290990a6dd9ca02b934837408", "standalone_title": "Making Art", "y_pos": 0.0, "current_revision_key": "149d7813f29b50a290990a6dd9ca02b934837408", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-for-kids", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-for-kids", "translated_standalone_title": "For kids", "translated_title": "For kids", "gplus_url": "", "id": "x6182c282", "old_key_name": null, "hide": false, "title": "For kids", "child_data": [{"kind": "Video", "id": "x271a0d86"}, {"kind": "Video", "id": "x8445a554"}, {"kind": "Video", "id": "x7d2b985f"}, {"kind": "Video", "id": "xcbc79bee"}, {"kind": "Video", "id": "x2da2659a"}, {"kind": "Video", "id": "xc5e53286"}, {"kind": "Video", "id": "x0c339d5c"}, {"kind": "Video", "id": "x88e7263f"}, {"kind": "Video", "id": "x39a89918"}, {"kind": "Video", "id": "xbc63e513"}, {"kind": "Video", "id": "x9c8ab724"}, {"kind": "Video", "id": "x508f5274"}, {"kind": "Video", "id": "x6c03b4db"}], "children": [{"translated_youtube_id": "8xWSyUrYc0w", "relative_url": "/video/bored-angel-and-twin", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bored-angel-and-twin", "duration": 119, "translated_title": "Bored angel and twin", "translated_description_html": "

Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x271a0d86", "description_html": "

Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Bored angel and twin", "progress_key": "vx271a0d86", "edit_slug": "edit/v/x271a0d86", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/bored-angel-and-twin", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8xWSyUrYc0w.mp4/8xWSyUrYc0w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8xWSyUrYc0w.mp4/8xWSyUrYc0w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8xWSyUrYc0w.m3u8/8xWSyUrYc0w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8xWSyUrYc0w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx271a0d86", "sha": "4532ef2880f64aae2d62e911128942788d7a9ccf", "translated_description": "Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/8xWSyUrYc0w/hqdefault.jpg", "youtube_id": "8xWSyUrYc0w", "content_kind": "Video", "readable_id": "bored-angel-and-twin"}, {"translated_youtube_id": "Rm6LkuZfEis", "relative_url": "/video/snake-haired-monster", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/snake-haired-monster", "duration": 94, "translated_title": "Snake-haired monster", "translated_description_html": "

Benjamin and Riley talk about Vincenzo Gemito's Medusa<\/em>, 1911<\/a>: This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x8445a554", "description_html": "

Benjamin and Riley talk about Vincenzo Gemito's Medusa<\/em>, 1911<\/a>: This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Snake-haired monster", "progress_key": "vx8445a554", "edit_slug": "edit/v/x8445a554", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Benjamin and Riley talk about Vincenzo Gemito's Medusa, 1911: This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/snake-haired-monster", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rm6LkuZfEis.mp4/Rm6LkuZfEis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rm6LkuZfEis.mp4/Rm6LkuZfEis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Rm6LkuZfEis.m3u8/Rm6LkuZfEis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Rm6LkuZfEis&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8445a554", "sha": "21ae82933a4c531c86004de5c4e82f42439ff93a", "translated_description": "Benjamin and Riley talk about Vincenzo Gemito's Medusa, 1911: This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/Rm6LkuZfEis/hqdefault.jpg", "youtube_id": "Rm6LkuZfEis", "content_kind": "Video", "readable_id": "snake-haired-monster"}, {"translated_youtube_id": "OC0oM6_O8QM", "relative_url": "/video/blue-gangster-demon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/blue-gangster-demon", "duration": 119, "translated_title": "Blue gangster demon", "translated_description_html": "

Benjamin and Bryn talk about demons in Cenni's Coronation of the Virgin and Saints<\/a>.<\/em> This is from a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x7d2b985f", "description_html": "

Benjamin and Bryn talk about demons in Cenni's Coronation of the Virgin and Saints<\/a>.<\/em> This is from a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Blue gangster demon", "progress_key": "vx7d2b985f", "edit_slug": "edit/v/x7d2b985f", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Benjamin and Bryn talk about demons in Cenni's Coronation of the Virgin and Saints. This is from a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/blue-gangster-demon", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OC0oM6_O8QM.mp4/OC0oM6_O8QM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OC0oM6_O8QM.mp4/OC0oM6_O8QM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OC0oM6_O8QM.m3u8/OC0oM6_O8QM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OC0oM6_O8QM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7d2b985f", "sha": "abf21b4fdf8f75128f11138f8e1e4f0d3b383d61", "translated_description": "Benjamin and Bryn talk about demons in Cenni's Coronation of the Virgin and Saints. This is from a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/OC0oM6_O8QM/hqdefault.jpg", "youtube_id": "OC0oM6_O8QM", "content_kind": "Video", "readable_id": "blue-gangster-demon"}, {"translated_youtube_id": "-fUGOHkAMN4", "relative_url": "/video/ferocious-but-cute-sea-monster", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/ferocious-but-cute-sea-monster", "duration": 83, "translated_title": "Ferocious but cute sea monster", "translated_description_html": "

Bryn talks about a ferocious but cute sea monster in Soldani Benzi’s Andromeda and the Sea Monster<\/a><\/em>, 1710-16. From a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "xcbc79bee", "description_html": "

Bryn talks about a ferocious but cute sea monster in Soldani Benzi’s Andromeda and the Sea Monster<\/a><\/em>, 1710-16. From a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Ferocious but cute sea monster", "progress_key": "vxcbc79bee", "edit_slug": "edit/v/xcbc79bee", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Bryn talks about a ferocious but cute sea monster in Soldani Benzi’s Andromeda and the Sea Monster, 1710-16. From a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/ferocious-but-cute-sea-monster", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-fUGOHkAMN4.mp4/-fUGOHkAMN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-fUGOHkAMN4.mp4/-fUGOHkAMN4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-fUGOHkAMN4.m3u8/-fUGOHkAMN4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-fUGOHkAMN4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcbc79bee", "sha": "8de6be34a6a9de8483d4a20671ec6f9df896595a", "translated_description": "Bryn talks about a ferocious but cute sea monster in Soldani Benzi’s Andromeda and the Sea Monster, 1710-16. From a tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/-fUGOHkAMN4/hqdefault.jpg", "youtube_id": "-fUGOHkAMN4", "content_kind": "Video", "readable_id": "ferocious-but-cute-sea-monster"}, {"translated_youtube_id": "9MuGkAjFGzA", "relative_url": "/video/pair-of-chests-antonio-maffei", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pair-of-chests-antonio-maffei", "duration": 105, "translated_title": "Pair of chests, attributed to Antonio Maffei", "translated_description_html": "

Listen to a family-friendly commentary about an object<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x2da2659a", "description_html": "

Listen to a family-friendly commentary about an object<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Pair of chests, attributed to Antonio Maffei", "progress_key": "vx2da2659a", "edit_slug": "edit/v/x2da2659a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Listen to a family-friendly commentary about an object in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/pair-of-chests-antonio-maffei", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9MuGkAjFGzA.mp4/9MuGkAjFGzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9MuGkAjFGzA.mp4/9MuGkAjFGzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9MuGkAjFGzA.m3u8/9MuGkAjFGzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9MuGkAjFGzA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2da2659a", "sha": "e335bdc42e4de5cb0c7a4229c9e126c9aa3d8fdf", "translated_description": "Listen to a family-friendly commentary about an object in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/9MuGkAjFGzA/hqdefault.jpg", "youtube_id": "9MuGkAjFGzA", "content_kind": "Video", "readable_id": "pair-of-chests-antonio-maffei"}, {"translated_youtube_id": "Pn1sjx3RH9Y", "relative_url": "/video/hare-forest-hans-hoffmann", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hare-forest-hans-hoffmann", "duration": 103, "translated_title": "\"A Hare in the Forest,\" Hans Hoffmann", "translated_description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "xc5e53286", "description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "\"A Hare in the Forest,\" Hans Hoffmann", "progress_key": "vxc5e53286", "edit_slug": "edit/v/xc5e53286", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/hare-forest-hans-hoffmann", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pn1sjx3RH9Y.mp4/Pn1sjx3RH9Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pn1sjx3RH9Y.mp4/Pn1sjx3RH9Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pn1sjx3RH9Y.m3u8/Pn1sjx3RH9Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pn1sjx3RH9Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc5e53286", "sha": "2591d1f3a25486a7357d13184de68ce1a1964b01", "translated_description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/Pn1sjx3RH9Y/hqdefault.jpg", "youtube_id": "Pn1sjx3RH9Y", "content_kind": "Video", "readable_id": "hare-forest-hans-hoffmann"}, {"translated_youtube_id": "Wf5PlOdTbyw", "relative_url": "/video/an-allegory-of-passion-hans-holbein", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/an-allegory-of-passion-hans-holbein", "duration": 96, "translated_title": "\"An Allegory of Passion,\" Hans Holbein the Younger", "translated_description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+<\/a> to stay in touch.<\/p>", "id": "x0c339d5c", "description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+<\/a> to stay in touch.<\/p>", "title": "\"An Allegory of Passion,\" Hans Holbein the Younger", "progress_key": "vx0c339d5c", "edit_slug": "edit/v/x0c339d5c", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/an-allegory-of-passion-hans-holbein", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wf5PlOdTbyw.mp4/Wf5PlOdTbyw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Wf5PlOdTbyw.mp4/Wf5PlOdTbyw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wf5PlOdTbyw.m3u8/Wf5PlOdTbyw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Wf5PlOdTbyw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0c339d5c", "sha": "1ac0b011482e388095661cda05a53864da94eb27", "translated_description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Part of the Animals in Art tour at the Getty Center. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/Wf5PlOdTbyw/hqdefault.jpg", "youtube_id": "Wf5PlOdTbyw", "content_kind": "Video", "readable_id": "an-allegory-of-passion-hans-holbein"}, {"translated_youtube_id": "xpxe_ZttU-w", "relative_url": "/video/adoration-of-magi-saint-anthony-abbott", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/adoration-of-magi-saint-anthony-abbott", "duration": 92, "translated_title": "\"The Adoration of the Magi with Saint Anthony Abbott,\" Franco-Flemish master", "translated_description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x88e7263f", "description_html": "

Listen to a commentary about a painting<\/a> in the J. Paul Getty Museum's collection. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "\"The Adoration of the Magi with Saint Anthony Abbott,\" Franco-Flemish master", "progress_key": "vx88e7263f", "edit_slug": "edit/v/x88e7263f", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/adoration-of-magi-saint-anthony-abbott", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xpxe_ZttU-w.mp4/xpxe_ZttU-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xpxe_ZttU-w.mp4/xpxe_ZttU-w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xpxe_ZttU-w.m3u8/xpxe_ZttU-w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xpxe_ZttU-w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx88e7263f", "sha": "e70a85ba127f1cc74deab64803eb3b89aa186cd5", "translated_description": "Listen to a commentary about a painting in the J. Paul Getty Museum's collection. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/xpxe_ZttU-w/hqdefault.jpg", "youtube_id": "xpxe_ZttU-w", "content_kind": "Video", "readable_id": "adoration-of-magi-saint-anthony-abbott"}, {"translated_youtube_id": "GuwIBNbJKkQ", "relative_url": "/video/horned-monster", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/horned-monster", "duration": 100, "translated_title": "Horned monster", "translated_description_html": "

William talks about Paul Gauguin's Head with Horns<\/em><\/a>, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x39a89918", "description_html": "

William talks about Paul Gauguin's Head with Horns<\/em><\/a>, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Horned monster", "progress_key": "vx39a89918", "edit_slug": "edit/v/x39a89918", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "William talks about Paul Gauguin's Head with Horns, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/horned-monster", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GuwIBNbJKkQ.mp4/GuwIBNbJKkQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GuwIBNbJKkQ.mp4/GuwIBNbJKkQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GuwIBNbJKkQ.m3u8/GuwIBNbJKkQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GuwIBNbJKkQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx39a89918", "sha": "0bd094adb5f6c12c816156ce754d04b27e3c8907", "translated_description": "William talks about Paul Gauguin's Head with Horns, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/GuwIBNbJKkQ/hqdefault.jpg", "youtube_id": "GuwIBNbJKkQ", "content_kind": "Video", "readable_id": "horned-monster"}, {"translated_youtube_id": "H3tVuMFFQpM", "relative_url": "/video/sad-angels", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sad-angels", "duration": 88, "translated_title": "Sad angels", "translated_description_html": "

Kayla and Bryn talk about angels in a follower of Rogier van der Weyden's Deposition<\/em><\/a>, c. 1490. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/span><\/p>", "id": "xbc63e513", "description_html": "

Kayla and Bryn talk about angels in a follower of Rogier van der Weyden's Deposition<\/em><\/a>, c. 1490. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/span><\/p>", "title": "Sad angels", "progress_key": "vxbc63e513", "edit_slug": "edit/v/xbc63e513", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Kayla and Bryn talk about angels in a follower of Rogier van der Weyden's Deposition, c. 1490. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/sad-angels", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H3tVuMFFQpM.mp4/H3tVuMFFQpM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H3tVuMFFQpM.mp4/H3tVuMFFQpM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H3tVuMFFQpM.m3u8/H3tVuMFFQpM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H3tVuMFFQpM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbc63e513", "sha": "36c03bd373171b89fdc21d15d1d5f2e3dd456dc5", "translated_description": "Kayla and Bryn talk about angels in a follower of Rogier van der Weyden's Deposition, c. 1490. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/H3tVuMFFQpM/hqdefault.jpg", "youtube_id": "H3tVuMFFQpM", "content_kind": "Video", "readable_id": "sad-angels"}, {"translated_youtube_id": "uo5a6Kxf1rA", "relative_url": "/video/mighty-mover-angel", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mighty-mover-angel", "duration": 109, "translated_title": "Mighty mover angel", "translated_description_html": "

William talks about the angels in Giovanni Battista Tiepolo's Miracle of the Holy House of Loreto<\/em><\/a>, c. 1744. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a><\/span>Google+<\/a> to stay in touch.<\/span><\/p>", "id": "x9c8ab724", "description_html": "

William talks about the angels in Giovanni Battista Tiepolo's Miracle of the Holy House of Loreto<\/em><\/a>, c. 1744. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a><\/span>Google+<\/a> to stay in touch.<\/span><\/p>", "title": "Mighty mover angel", "progress_key": "vx9c8ab724", "edit_slug": "edit/v/x9c8ab724", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "William talks about the angels in Giovanni Battista Tiepolo's Miracle of the Holy House of Loreto, c. 1744. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/mighty-mover-angel", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uo5a6Kxf1rA.mp4/uo5a6Kxf1rA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uo5a6Kxf1rA.mp4/uo5a6Kxf1rA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uo5a6Kxf1rA.m3u8/uo5a6Kxf1rA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uo5a6Kxf1rA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9c8ab724", "sha": "4e7097b73201423ee99fd068e3cb6bd68accc843", "translated_description": "William talks about the angels in Giovanni Battista Tiepolo's Miracle of the Holy House of Loreto, c. 1744. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/uo5a6Kxf1rA/hqdefault.jpg", "youtube_id": "uo5a6Kxf1rA", "content_kind": "Video", "readable_id": "mighty-mover-angel"}, {"translated_youtube_id": "x4CptY9wJBs", "relative_url": "/video/tongue-tied-baby-dragon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tongue-tied-baby-dragon", "duration": 107, "translated_title": "Tongue-tied baby dragon", "translated_description_html": "

Michelle and Michael talk about Bernini's Boy with a Dragon<\/em><\/a>, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x508f5274", "description_html": "

Michelle and Michael talk about Bernini's Boy with a Dragon<\/em><\/a>, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Tongue-tied baby dragon", "progress_key": "vx508f5274", "edit_slug": "edit/v/x508f5274", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Michelle and Michael talk about Bernini's Boy with a Dragon, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/tongue-tied-baby-dragon", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/x4CptY9wJBs.mp4/x4CptY9wJBs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x4CptY9wJBs.mp4/x4CptY9wJBs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/x4CptY9wJBs.m3u8/x4CptY9wJBs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=x4CptY9wJBs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx508f5274", "sha": "0930f691f718766f4714c312df1b2d5513715106", "translated_description": "Michelle and Michael talk about Bernini's Boy with a Dragon, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/x4CptY9wJBs/hqdefault.jpg", "youtube_id": "x4CptY9wJBs", "content_kind": "Video", "readable_id": "tongue-tied-baby-dragon"}, {"translated_youtube_id": "M5mH0u0b4W4", "relative_url": "/video/st-michael-the-archangel-sassy-devil-and-crew", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/st-michael-the-archangel-sassy-devil-and-crew", "duration": 90, "translated_title": "St. Michael the archangel, sassy devil and crew", "translated_description_html": "

Riley and Michael talk about St. Michael the Archangel and sassy devil in Fall of the Rebel Angels<\/em><\/a>, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x6c03b4db", "description_html": "

Riley and Michael talk about St. Michael the Archangel and sassy devil in Fall of the Rebel Angels<\/em><\/a>, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "St. Michael the archangel, sassy devil and crew", "progress_key": "vx6c03b4db", "edit_slug": "edit/v/x6c03b4db", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Riley and Michael talk about St. Michael the Archangel and sassy devil in Fall of the Rebel Angels, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/st-michael-the-archangel-sassy-devil-and-crew", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/M5mH0u0b4W4.mp4/M5mH0u0b4W4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M5mH0u0b4W4.mp4/M5mH0u0b4W4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/M5mH0u0b4W4.m3u8/M5mH0u0b4W4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=M5mH0u0b4W4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6c03b4db", "sha": "50aae84e6ead4d84d1e1ccae55eab2689440159b", "translated_description": "Riley and Michael talk about St. Michael the Archangel and sassy devil in Fall of the Rebel Angels, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/M5mH0u0b4W4/hqdefault.jpg", "youtube_id": "M5mH0u0b4W4", "content_kind": "Video", "readable_id": "st-michael-the-archangel-sassy-devil-and-crew"}], "twitter_url": "", "translated_description": "Watch videos suitable for kids.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Watch videos suitable for kids.", "x_pos": 0.0, "node_slug": "getty-for-kids", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6182c282", "topic_page_url": "/partner-content/getty-museum/getty-for-kids", "extended_slug": "partner-content/getty-museum/getty-for-kids", "slug": "getty-for-kids", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "69b811351c791a240887ce709a43f655bfd1ce8d", "standalone_title": "For kids", "y_pos": 0.0, "current_revision_key": "69b811351c791a240887ce709a43f655bfd1ce8d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-art-conservation", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-art-conservation", "translated_standalone_title": "Art conservation", "translated_title": "Art conservation", "gplus_url": "", "id": "x267a15ee", "old_key_name": null, "hide": false, "title": "Art conservation", "child_data": [{"kind": "Video", "id": "xd1512e30"}, {"kind": "Video", "id": "xb0bd6c2a"}, {"kind": "Video", "id": "xafbd58cd"}, {"kind": "Video", "id": "xdfdfe2ea"}, {"kind": "Video", "id": "x90058e80"}, {"kind": "Video", "id": "x10bc217b"}, {"kind": "Video", "id": "x892ce882"}, {"kind": "Video", "id": "x93f8ee9d"}, {"kind": "Video", "id": "xe5f95c7a"}, {"kind": "Video", "id": "xa79b847e"}, {"kind": "Video", "id": "xb4c19089"}, {"kind": "Video", "id": "x5c66f743"}, {"kind": "Video", "id": "x8c04b173"}, {"kind": "Video", "id": "x3d684ada"}, {"kind": "Video", "id": "xaa0dbcca"}, {"kind": "Video", "id": "x51618b83"}], "children": [{"translated_youtube_id": "-MQ5dL9cQX0", "relative_url": "/video/the-mummification-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-mummification-process", "duration": 164, "translated_title": "The mummification process", "translated_description_html": "

Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xd1512e30", "description_html": "

Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The mummification process", "progress_key": "vxd1512e30", "edit_slug": "edit/v/xd1512e30", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/the-mummification-process", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.mp4/-MQ5dL9cQX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.mp4/-MQ5dL9cQX0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-MQ5dL9cQX0.m3u8/-MQ5dL9cQX0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-MQ5dL9cQX0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd1512e30", "sha": "5da7a49c04e8253e29dc9583cc00badf3e3bb427", "translated_description": "Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty's mummy Herakleides. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/-MQ5dL9cQX0/hqdefault.jpg", "youtube_id": "-MQ5dL9cQX0", "content_kind": "Video", "readable_id": "the-mummification-process"}, {"translated_youtube_id": "3gPINuYv1T8", "relative_url": "/video/conservation-of-antiquities", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-antiquities", "duration": 310, "translated_title": "Conservation of antiquities", "translated_description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "xb0bd6c2a", "description_html": "

Learn about the work of the Getty Museum's antiquities conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of antiquities", "progress_key": "vxb0bd6c2a", "edit_slug": "edit/v/xb0bd6c2a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-antiquities", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.mp4/3gPINuYv1T8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3gPINuYv1T8.m3u8/3gPINuYv1T8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3gPINuYv1T8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb0bd6c2a", "sha": "ecaf253c0b7fbc2b1419fd69f1fc6953264ed7e3", "translated_description": "Learn about the work of the Getty Museum's antiquities conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/3gPINuYv1T8/hqdefault.jpg", "youtube_id": "3gPINuYv1T8", "content_kind": "Video", "readable_id": "conservation-of-antiquities"}, {"translated_youtube_id": "WSLad3lN6Jc", "relative_url": "/video/lamp-with-erotes-from-vani", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lamp-with-erotes-from-vani", "duration": 215, "translated_title": "Conserving bronze: \"The Lamp with Erotes from Vani\"", "translated_description_html": "

Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+<\/a><\/p>", "id": "xafbd58cd", "description_html": "

Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+<\/a><\/p>", "title": "Conserving bronze: \"The Lamp with Erotes from Vani\"", "progress_key": "vxafbd58cd", "edit_slug": "edit/v/xafbd58cd", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/lamp-with-erotes-from-vani", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.mp4/WSLad3lN6Jc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.mp4/WSLad3lN6Jc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WSLad3lN6Jc.m3u8/WSLad3lN6Jc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WSLad3lN6Jc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxafbd58cd", "sha": "157e4dbc9185b64c8fd6ba9c60d4ffdf8db2ff0f", "translated_description": "Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/WSLad3lN6Jc/hqdefault.jpg", "youtube_id": "WSLad3lN6Jc", "content_kind": "Video", "readable_id": "lamp-with-erotes-from-vani"}, {"translated_youtube_id": "JdqT5j6CFbE", "relative_url": "/video/conservation-mosaics-in-roman-north-africa", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-mosaics-in-roman-north-africa", "duration": 710, "translated_title": "Conservation of mosaics in Roman North Africa", "translated_description_html": "

The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xdfdfe2ea", "description_html": "

The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Conservation of mosaics in Roman North Africa", "progress_key": "vxdfdfe2ea", "edit_slug": "edit/v/xdfdfe2ea", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-mosaics-in-roman-north-africa", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JdqT5j6CFbE.mp4/JdqT5j6CFbE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JdqT5j6CFbE.mp4/JdqT5j6CFbE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JdqT5j6CFbE.m3u8/JdqT5j6CFbE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JdqT5j6CFbE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdfdfe2ea", "sha": "c3190e5cfdd4717439bb00fc16dd2e90cfef47b7", "translated_description": "The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/JdqT5j6CFbE/hqdefault.jpg", "youtube_id": "JdqT5j6CFbE", "content_kind": "Video", "readable_id": "conservation-mosaics-in-roman-north-africa"}, {"translated_youtube_id": "7UsYHo5iarM", "relative_url": "/video/tracing-colors-of-ancient-sculpture", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tracing-colors-of-ancient-sculpture", "duration": 188, "translated_title": "Tracing the colors of ancient sculpture", "translated_description_html": "

Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+<\/a>
<\/p>", "id": "x90058e80", "description_html": "

Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+<\/a>
<\/p>", "title": "Tracing the colors of ancient sculpture", "progress_key": "vx90058e80", "edit_slug": "edit/v/x90058e80", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+", "extra_properties": {}, "node_slug": "v/tracing-colors-of-ancient-sculpture", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.mp4/7UsYHo5iarM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.mp4/7UsYHo5iarM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7UsYHo5iarM.m3u8/7UsYHo5iarM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7UsYHo5iarM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx90058e80", "sha": "3d31013fd54e113c7f1d5e5ef74a3308347cfa4d", "translated_description": "Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. Follow us on Google+", "image_url": "https://img.youtube.com/vi/7UsYHo5iarM/hqdefault.jpg", "youtube_id": "7UsYHo5iarM", "content_kind": "Video", "readable_id": "tracing-colors-of-ancient-sculpture"}, {"translated_youtube_id": "xyhaEvNdwrQ", "relative_url": "/video/statue-of-an-emperor-conservation-partnership", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/statue-of-an-emperor-conservation-partnership", "duration": 341, "translated_title": "\"Statue of an Emperor:\" A conservation partnership", "translated_description_html": "

Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+<\/a><\/p>", "id": "x10bc217b", "description_html": "

Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+<\/a><\/p>", "title": "\"Statue of an Emperor:\" A conservation partnership", "progress_key": "vx10bc217b", "edit_slug": "edit/v/x10bc217b", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/statue-of-an-emperor-conservation-partnership", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.mp4/xyhaEvNdwrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.mp4/xyhaEvNdwrQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xyhaEvNdwrQ.m3u8/xyhaEvNdwrQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xyhaEvNdwrQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx10bc217b", "sha": "5ac2153b542a4246be9635c660816402a35f2fb9", "translated_description": "Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/xyhaEvNdwrQ/hqdefault.jpg", "youtube_id": "xyhaEvNdwrQ", "content_kind": "Video", "readable_id": "statue-of-an-emperor-conservation-partnership"}, {"translated_youtube_id": "E97Ez4lCBYc", "relative_url": "/video/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "duration": 244, "translated_title": "The conservation of the \"Apollo Saettante\" at the Getty Villa", "translated_description_html": "

Explore the Apollo Saettante<\/em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+<\/a><\/p>", "id": "x892ce882", "description_html": "

Explore the Apollo Saettante<\/em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+<\/a><\/p>", "title": "The conservation of the \"Apollo Saettante\" at the Getty Villa", "progress_key": "vx892ce882", "edit_slug": "edit/v/x892ce882", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Explore the Apollo Saettante, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.mp4/E97Ez4lCBYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.mp4/E97Ez4lCBYc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E97Ez4lCBYc.m3u8/E97Ez4lCBYc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E97Ez4lCBYc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx892ce882", "sha": "fb6fad2547fab55de024d602fec646a8e048fbfb", "translated_description": "Explore the Apollo Saettante, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/E97Ez4lCBYc/hqdefault.jpg", "youtube_id": "E97Ez4lCBYc", "content_kind": "Video", "readable_id": "erik-risser-describes-the-conservation-of-the-apollo-saettante-at-the-getty-villa"}, {"translated_youtube_id": "IFFxSBx-P0U", "relative_url": "/video/protecting-art-earthquake-seismic-isolator-technology", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/protecting-art-earthquake-seismic-isolator-technology", "duration": 128, "translated_title": "Protecting art in an earthquake: seismic isolator technology", "translated_description_html": "

What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum's seismic isolator technology protects inherently unstable objects. Love art? Follow us on Google<\/a>+<\/p>", "id": "x93f8ee9d", "description_html": "

What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum's seismic isolator technology protects inherently unstable objects. Love art? Follow us on Google<\/a>+<\/p>", "title": "Protecting art in an earthquake: seismic isolator technology", "progress_key": "vx93f8ee9d", "edit_slug": "edit/v/x93f8ee9d", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum's seismic isolator technology protects inherently unstable objects. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/protecting-art-earthquake-seismic-isolator-technology", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IFFxSBx-P0U.mp4/IFFxSBx-P0U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IFFxSBx-P0U.mp4/IFFxSBx-P0U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IFFxSBx-P0U.m3u8/IFFxSBx-P0U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IFFxSBx-P0U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx93f8ee9d", "sha": "679b61db9e89c85bd87023613dd9834b3786fa3c", "translated_description": "What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum's seismic isolator technology protects inherently unstable objects. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/IFFxSBx-P0U/hqdefault.jpg", "youtube_id": "IFFxSBx-P0U", "content_kind": "Video", "readable_id": "protecting-art-earthquake-seismic-isolator-technology"}, {"translated_youtube_id": "HBJSxi9Pgo8", "relative_url": "/video/conservation-of-sculpture-decorative-arts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-sculpture-decorative-arts", "duration": 317, "translated_title": "Conservation of sculpture and decorative arts", "translated_description_html": "

Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xe5f95c7a", "description_html": "

Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Conservation of sculpture and decorative arts", "progress_key": "vxe5f95c7a", "edit_slug": "edit/v/xe5f95c7a", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-sculpture-decorative-arts", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.mp4/HBJSxi9Pgo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.mp4/HBJSxi9Pgo8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HBJSxi9Pgo8.m3u8/HBJSxi9Pgo8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HBJSxi9Pgo8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe5f95c7a", "sha": "4a5098cac42312c505a2f2faa502147e177df927", "translated_description": "Learn about the work of the Getty Museum's object conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/HBJSxi9Pgo8/hqdefault.jpg", "youtube_id": "HBJSxi9Pgo8", "content_kind": "Video", "readable_id": "conservation-of-sculpture-decorative-arts"}, {"translated_youtube_id": "3c7kv8SkxTs", "relative_url": "/video/renaissance-cabinet-rediscovered", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/renaissance-cabinet-rediscovered", "duration": 252, "translated_title": "A Renaissance cabinet rediscovered", "translated_description_html": "

A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+<\/a><\/p>", "id": "xa79b847e", "description_html": "

A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+<\/a><\/p>", "title": "A Renaissance cabinet rediscovered", "progress_key": "vxa79b847e", "edit_slug": "edit/v/xa79b847e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/renaissance-cabinet-rediscovered", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.mp4/3c7kv8SkxTs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.mp4/3c7kv8SkxTs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3c7kv8SkxTs.m3u8/3c7kv8SkxTs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3c7kv8SkxTs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa79b847e", "sha": "f2a121c8b6413d7d2cfb69132f3835ddbba7f8ec", "translated_description": "A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/3c7kv8SkxTs/hqdefault.jpg", "youtube_id": "3c7kv8SkxTs", "content_kind": "Video", "readable_id": "renaissance-cabinet-rediscovered"}, {"translated_youtube_id": "Goi6mjtB5oE", "relative_url": "/video/conservation-of-paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-of-paintings", "duration": 290, "translated_title": "Conservation of paintings", "translated_description_html": "

Learn about the work of the Getty Museum's paintings conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "xb4c19089", "description_html": "

Learn about the work of the Getty Museum's paintings conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of paintings", "progress_key": "vxb4c19089", "edit_slug": "edit/v/xb4c19089", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's paintings conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-of-paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.mp4/Goi6mjtB5oE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.mp4/Goi6mjtB5oE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Goi6mjtB5oE.m3u8/Goi6mjtB5oE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Goi6mjtB5oE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb4c19089", "sha": "4e2e01a77a0347d46ae03aa6ad9021744b24eb95", "translated_description": "Learn about the work of the Getty Museum's paintings conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/Goi6mjtB5oE/hqdefault.jpg", "youtube_id": "Goi6mjtB5oE", "content_kind": "Video", "readable_id": "conservation-of-paintings"}, {"translated_youtube_id": "XskxuDSG7mA", "relative_url": "/video/conservation-works-on-paper", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conservation-works-on-paper", "duration": 305, "translated_title": "Conservation of works on paper", "translated_description_html": "

Learn about the work of the Getty Museum's paper conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "id": "x5c66f743", "description_html": "

Learn about the work of the Getty Museum's paper conservation team. Love art? <\/span>Follow us on Google+<\/a><\/p>", "title": "Conservation of works on paper", "progress_key": "vx5c66f743", "edit_slug": "edit/v/x5c66f743", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the work of the Getty Museum's paper conservation team. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conservation-works-on-paper", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.mp4/XskxuDSG7mA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.mp4/XskxuDSG7mA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XskxuDSG7mA.m3u8/XskxuDSG7mA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XskxuDSG7mA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5c66f743", "sha": "e81ba819741cc7dd65373ebf5c6c5a66b3bae87f", "translated_description": "Learn about the work of the Getty Museum's paper conservation team. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/XskxuDSG7mA/hqdefault.jpg", "youtube_id": "XskxuDSG7mA", "content_kind": "Video", "readable_id": "conservation-works-on-paper"}, {"translated_youtube_id": "Qw6NOFJCI8Q", "relative_url": "/video/conserving-old-master-drawings-balancing-act", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conserving-old-master-drawings-balancing-act", "duration": 249, "translated_title": "Conserving old master drawings: a balancing act", "translated_description_html": "

A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+<\/a><\/p>", "id": "x8c04b173", "description_html": "

A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+<\/a><\/p>", "title": "Conserving old master drawings: a balancing act", "progress_key": "vx8c04b173", "edit_slug": "edit/v/x8c04b173", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/conserving-old-master-drawings-balancing-act", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.mp4/Qw6NOFJCI8Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.mp4/Qw6NOFJCI8Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qw6NOFJCI8Q.m3u8/Qw6NOFJCI8Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qw6NOFJCI8Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8c04b173", "sha": "7d985f817a99394121e7e2352f912af90829834e", "translated_description": "A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/Qw6NOFJCI8Q/hqdefault.jpg", "youtube_id": "Qw6NOFJCI8Q", "content_kind": "Video", "readable_id": "conserving-old-master-drawings-balancing-act"}, {"translated_youtube_id": "eVnwEIvwmCE", "relative_url": "/video/valentine-gray-column-getty-conservation-institute", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/valentine-gray-column-getty-conservation-institute", "duration": 141, "translated_title": "De Wain Valentine's \"Gray Column\" and the Getty Conservation Institute", "translated_description_html": "

A short film about the installation of De Wain Valentine's Gray Column<\/em> at the Getty Center. Love art? Follow us on Google+<\/a><\/span><\/p>", "id": "x3d684ada", "description_html": "

A short film about the installation of De Wain Valentine's Gray Column<\/em> at the Getty Center. Love art? Follow us on Google+<\/a><\/span><\/p>", "title": "De Wain Valentine's \"Gray Column\" and the Getty Conservation Institute", "progress_key": "vx3d684ada", "edit_slug": "edit/v/x3d684ada", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A short film about the installation of De Wain Valentine's Gray Column at the Getty Center. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/valentine-gray-column-getty-conservation-institute", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eVnwEIvwmCE.mp4/eVnwEIvwmCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eVnwEIvwmCE.mp4/eVnwEIvwmCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eVnwEIvwmCE.m3u8/eVnwEIvwmCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eVnwEIvwmCE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3d684ada", "sha": "28e645ba39763c29742a6c7c1e8b0dbbf04d49de", "translated_description": "A short film about the installation of De Wain Valentine's Gray Column at the Getty Center. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/eVnwEIvwmCE/hqdefault.jpg", "youtube_id": "eVnwEIvwmCE", "content_kind": "Video", "readable_id": "valentine-gray-column-getty-conservation-institute"}, {"translated_youtube_id": "w217s1c8EOg", "relative_url": "/video/valentine-surface-matters", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/valentine-surface-matters", "duration": 147, "translated_title": "De Wain Valentine: surface matters", "translated_description_html": "

Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine's sculptures and related conservation considerations. Love art? Follow us on Google+<\/a><\/p>", "id": "xaa0dbcca", "description_html": "

Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine's sculptures and related conservation considerations. Love art? Follow us on Google+<\/a><\/p>", "title": "De Wain Valentine: surface matters", "progress_key": "vxaa0dbcca", "edit_slug": "edit/v/xaa0dbcca", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine's sculptures and related conservation considerations. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/valentine-surface-matters", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/w217s1c8EOg.mp4/w217s1c8EOg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w217s1c8EOg.mp4/w217s1c8EOg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/w217s1c8EOg.m3u8/w217s1c8EOg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=w217s1c8EOg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxaa0dbcca", "sha": "d5f595b2a768561fb73e715fd3243600e435ab0e", "translated_description": "Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine's sculptures and related conservation considerations. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/w217s1c8EOg/hqdefault.jpg", "youtube_id": "w217s1c8EOg", "content_kind": "Video", "readable_id": "valentine-surface-matters"}, {"translated_youtube_id": "fXyDY6ah7k4", "relative_url": "/video/valentine-and-polyester-resin", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/valentine-and-polyester-resin", "duration": 168, "translated_title": "De Wain Valentine and polyester resin", "translated_description_html": "

Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x51618b83", "description_html": "

Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? Follow us on Google+<\/a>
<\/p>", "title": "De Wain Valentine and polyester resin", "progress_key": "vx51618b83", "edit_slug": "edit/v/x51618b83", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/valentine-and-polyester-resin", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fXyDY6ah7k4.mp4/fXyDY6ah7k4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fXyDY6ah7k4.mp4/fXyDY6ah7k4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fXyDY6ah7k4.m3u8/fXyDY6ah7k4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fXyDY6ah7k4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx51618b83", "sha": "a235946a983e8c0d7cbba09dfa7f74329dbeef47", "translated_description": "Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/fXyDY6ah7k4/hqdefault.jpg", "youtube_id": "fXyDY6ah7k4", "content_kind": "Video", "readable_id": "valentine-and-polyester-resin"}], "twitter_url": "", "translated_description": "Go behind-the-scenes and learn about art conservation in the lab and in the field.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Go behind-the-scenes and learn about art conservation in the lab and in the field.", "x_pos": 0.0, "node_slug": "getty-art-conservation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax267a15ee", "topic_page_url": "/partner-content/getty-museum/getty-art-conservation", "extended_slug": "partner-content/getty-museum/getty-art-conservation", "slug": "getty-art-conservation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "eea882e35b95a40a8a261d335721521dd15768f1", "standalone_title": "Art conservation", "y_pos": 0.0, "current_revision_key": "eea882e35b95a40a8a261d335721521dd15768f1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-drawings", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-drawings", "translated_standalone_title": "Drawings", "translated_title": "Drawings", "gplus_url": "", "id": "x33941cf7", "old_key_name": null, "hide": false, "title": "Drawings", "child_data": [{"kind": "Video", "id": "xab44a670"}, {"kind": "Video", "id": "x63c47eb6"}, {"kind": "Video", "id": "x55886e82"}, {"kind": "Video", "id": "xee7569af"}], "children": [{"translated_youtube_id": "RL7NmWVmSF0", "relative_url": "/video/jean-baptiste-greuze-drawings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/jean-baptiste-greuze-drawings", "duration": 155, "translated_title": "Jean-Baptiste Greuze's drawings", "translated_description_html": "

Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? Follow us on Google+<\/a><\/p>", "id": "xab44a670", "description_html": "

Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? Follow us on Google+<\/a><\/p>", "title": "Jean-Baptiste Greuze's drawings", "progress_key": "vxab44a670", "edit_slug": "edit/v/xab44a670", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/jean-baptiste-greuze-drawings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RL7NmWVmSF0.mp4/RL7NmWVmSF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RL7NmWVmSF0.mp4/RL7NmWVmSF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RL7NmWVmSF0.m3u8/RL7NmWVmSF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RL7NmWVmSF0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxab44a670", "sha": "0d449c24776bca664223f0f2ac38b03a6bd52b68", "translated_description": "Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/RL7NmWVmSF0/hqdefault.jpg", "youtube_id": "RL7NmWVmSF0", "content_kind": "Video", "readable_id": "jean-baptiste-greuze-drawings"}, {"translated_youtube_id": "-F4qnA1PFzE", "relative_url": "/video/drawings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drawings", "duration": 137, "translated_title": "Drawings", "translated_description_html": "

The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x63c47eb6", "description_html": "

The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Drawings", "progress_key": "vx63c47eb6", "edit_slug": "edit/v/x63c47eb6", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/drawings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-F4qnA1PFzE.mp4/-F4qnA1PFzE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-F4qnA1PFzE.mp4/-F4qnA1PFzE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-F4qnA1PFzE.m3u8/-F4qnA1PFzE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-F4qnA1PFzE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx63c47eb6", "sha": "2288154031afa9b1b6689c68d3d2957b2cc87927", "translated_description": "The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/-F4qnA1PFzE/hqdefault.jpg", "youtube_id": "-F4qnA1PFzE", "content_kind": "Video", "readable_id": "drawings"}, {"translated_youtube_id": "0dcDHJVojVY", "relative_url": "/video/taddeo-zuccaro-artistic-training", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/taddeo-zuccaro-artistic-training", "duration": 201, "translated_title": "Taddeo Zuccaro's artistic training: drawings by Federico Zuccaro", "translated_description_html": "

In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo's hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? Follow us on Google+<\/a><\/p>", "id": "x55886e82", "description_html": "

In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo's hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? Follow us on Google+<\/a><\/p>", "title": "Taddeo Zuccaro's artistic training: drawings by Federico Zuccaro", "progress_key": "vx55886e82", "edit_slug": "edit/v/x55886e82", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo's hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/taddeo-zuccaro-artistic-training", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0dcDHJVojVY.mp4/0dcDHJVojVY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0dcDHJVojVY.mp4/0dcDHJVojVY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0dcDHJVojVY.m3u8/0dcDHJVojVY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0dcDHJVojVY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx55886e82", "sha": "24eef29d0eb408cbfef6a3391959edb1d3265314", "translated_description": "In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo's hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/0dcDHJVojVY/hqdefault.jpg", "youtube_id": "0dcDHJVojVY", "content_kind": "Video", "readable_id": "taddeo-zuccaro-artistic-training"}, {"translated_youtube_id": "_Ucdj37XOHk", "relative_url": "/video/toulouse-lautrec-circus-drawings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/toulouse-lautrec-circus-drawings", "duration": 133, "translated_title": "Henri Toulouse-Lautrec's circus drawings", "translated_description_html": "

The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+<\/a><\/p>", "id": "xee7569af", "description_html": "

The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+<\/a><\/p>", "title": "Henri Toulouse-Lautrec's circus drawings", "progress_key": "vxee7569af", "edit_slug": "edit/v/xee7569af", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/toulouse-lautrec-circus-drawings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.mp4/_Ucdj37XOHk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.mp4/_Ucdj37XOHk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_Ucdj37XOHk.m3u8/_Ucdj37XOHk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_Ucdj37XOHk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxee7569af", "sha": "122475ff95a40cfe6d3bdb45aa3e4baa0aa5822a", "translated_description": "The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/_Ucdj37XOHk/hqdefault.jpg", "youtube_id": "_Ucdj37XOHk", "content_kind": "Video", "readable_id": "toulouse-lautrec-circus-drawings"}], "twitter_url": "", "translated_description": "Learn about drawings in the Getty Museum's collection.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about drawings in the Getty Museum's collection.", "x_pos": 0.0, "node_slug": "getty-drawings", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax33941cf7", "topic_page_url": "/partner-content/getty-museum/getty-drawings", "extended_slug": "partner-content/getty-museum/getty-drawings", "slug": "getty-drawings", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "49367b2b7922058cb1584bdece7f27732874be7e", "standalone_title": "Drawings", "y_pos": 0.0, "current_revision_key": "49367b2b7922058cb1584bdece7f27732874be7e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-manuscripts", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-manuscripts", "translated_standalone_title": "Manuscripts", "translated_title": "Manuscripts", "gplus_url": "", "id": "xe8a7ce70", "old_key_name": null, "hide": false, "title": "Manuscripts", "child_data": [{"kind": "Video", "id": "xef680044"}, {"kind": "Video", "id": "x2799e69b"}, {"kind": "Video", "id": "x0677cedc"}, {"kind": "Video", "id": "xb59f5972"}, {"kind": "Video", "id": "x1f55a3ad"}], "children": [{"translated_youtube_id": "e_Us5TGPFe0", "relative_url": "/video/manuscripts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/manuscripts", "duration": 207, "translated_title": "Manuscripts: Major works of art", "translated_description_html": "

\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+<\/a><\/p>", "id": "xef680044", "description_html": "

\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+<\/a><\/p>", "title": "Manuscripts: Major works of art", "progress_key": "vxef680044", "edit_slug": "edit/v/xef680044", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/manuscripts", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.mp4/e_Us5TGPFe0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.mp4/e_Us5TGPFe0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e_Us5TGPFe0.m3u8/e_Us5TGPFe0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e_Us5TGPFe0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxef680044", "sha": "c2efc8707b110aed6006c986bc7e6768abb93fa4", "translated_description": "\"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time.\" —Thomas Kren, Curator of Manuscripts. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/e_Us5TGPFe0/hqdefault.jpg", "youtube_id": "e_Us5TGPFe0", "content_kind": "Video", "readable_id": "manuscripts"}, {"translated_youtube_id": "HKBJkf2xbqI", "relative_url": "/video/structure-medieval-manuscript", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/structure-medieval-manuscript", "duration": 128, "translated_title": "The structure of a medieval manuscript", "translated_description_html": "

For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x2799e69b", "description_html": "

For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The structure of a medieval manuscript", "progress_key": "vx2799e69b", "edit_slug": "edit/v/x2799e69b", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/structure-medieval-manuscript", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.mp4/HKBJkf2xbqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.mp4/HKBJkf2xbqI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HKBJkf2xbqI.m3u8/HKBJkf2xbqI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HKBJkf2xbqI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2799e69b", "sha": "5cd3b652062ee057afa49e13d6ddf633e0d8576c", "translated_description": "For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/HKBJkf2xbqI/hqdefault.jpg", "youtube_id": "HKBJkf2xbqI", "content_kind": "Video", "readable_id": "structure-medieval-manuscript"}, {"translated_youtube_id": "1aDHJu9J10o", "relative_url": "/video/making-manuscripts", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/making-manuscripts", "duration": 380, "translated_title": "Making manuscripts", "translated_description_html": "

An illuminated manuscript is a book written and decorated completely by hand. They were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? Follow us on Google+<\/a><\/p>", "id": "x0677cedc", "description_html": "

An illuminated manuscript is a book written and decorated completely by hand. They were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? Follow us on Google+<\/a><\/p>", "title": "Making manuscripts", "progress_key": "vx0677cedc", "edit_slug": "edit/v/x0677cedc", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "An illuminated manuscript is a book written and decorated completely by hand. They were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/making-manuscripts", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1aDHJu9J10o.mp4/1aDHJu9J10o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1aDHJu9J10o.mp4/1aDHJu9J10o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1aDHJu9J10o.m3u8/1aDHJu9J10o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1aDHJu9J10o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0677cedc", "sha": "25bb65dc028564526e49674fb59d2cfcacb52c34", "translated_description": "An illuminated manuscript is a book written and decorated completely by hand. They were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/1aDHJu9J10o/hqdefault.jpg", "youtube_id": "1aDHJu9J10o", "content_kind": "Video", "readable_id": "making-manuscripts"}, {"translated_youtube_id": "h2CcewghKoo", "relative_url": "/video/medieval-calendar", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/medieval-calendar", "duration": 270, "translated_title": "The medieval calendar", "translated_description_html": "

The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xb59f5972", "description_html": "

The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The medieval calendar", "progress_key": "vxb59f5972", "edit_slug": "edit/v/xb59f5972", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/medieval-calendar", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.mp4/h2CcewghKoo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.mp4/h2CcewghKoo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h2CcewghKoo.m3u8/h2CcewghKoo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h2CcewghKoo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb59f5972", "sha": "6bcd8e31fb9a58344c2b229478a37f7c0d8480d6", "translated_description": "The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/h2CcewghKoo/hqdefault.jpg", "youtube_id": "h2CcewghKoo", "content_kind": "Video", "readable_id": "medieval-calendar"}, {"translated_youtube_id": "fr1QJWemI1Q", "relative_url": "/video/limbourg-brothers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/limbourg-brothers", "duration": 1757, "translated_title": "The hidden masters of the Middle Ages: the Limbourg brothers", "translated_description_html": "

The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x1f55a3ad", "description_html": "

The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+<\/a>
<\/p>", "title": "The hidden masters of the Middle Ages: the Limbourg brothers", "progress_key": "vx1f55a3ad", "edit_slug": "edit/v/x1f55a3ad", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/limbourg-brothers", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.mp4/fr1QJWemI1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.mp4/fr1QJWemI1Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fr1QJWemI1Q.m3u8/fr1QJWemI1Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fr1QJWemI1Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1f55a3ad", "sha": "0991fbcc8616e4c6a8b41e251c8b80246e72403c", "translated_description": "The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/fr1QJWemI1Q/hqdefault.jpg", "youtube_id": "fr1QJWemI1Q", "content_kind": "Video", "readable_id": "limbourg-brothers"}], "twitter_url": "", "translated_description": "Learn about medieval manuscripts. Find out how these handmade objects were created, how the medieval calendars within them work, and see the book considered by many to be the finest illuminated manuscript ever made.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about medieval manuscripts. Find out how these handmade objects were created, how the medieval calendars within them work, and see the book considered by many to be the finest illuminated manuscript ever made.", "x_pos": 0.0, "node_slug": "getty-manuscripts", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:58Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe8a7ce70", "topic_page_url": "/partner-content/getty-museum/getty-manuscripts", "extended_slug": "partner-content/getty-museum/getty-manuscripts", "slug": "getty-manuscripts", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2800dc1e5231906c1f72135a9b27707c062697e", "standalone_title": "Manuscripts", "y_pos": 0.0, "current_revision_key": "a2800dc1e5231906c1f72135a9b27707c062697e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-photographs", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-photographs", "translated_standalone_title": "Photographs", "translated_title": "Photographs", "gplus_url": "", "id": "x07b93bde", "old_key_name": null, "hide": false, "title": "Photographs", "child_data": [{"kind": "Video", "id": "x614abf77"}, {"kind": "Video", "id": "x0e92121e"}, {"kind": "Video", "id": "x06898c45"}, {"kind": "Video", "id": "x35d07181"}, {"kind": "Video", "id": "x3ace4c00"}, {"kind": "Video", "id": "x52746445"}, {"kind": "Video", "id": "xea9104a6"}, {"kind": "Video", "id": "x879db446"}, {"kind": "Video", "id": "x5e8bf000"}, {"kind": "Video", "id": "x8133be72"}, {"kind": "Video", "id": "xa0829ce2"}, {"kind": "Video", "id": "xf14bb10e"}, {"kind": "Video", "id": "xdc886aa8"}, {"kind": "Video", "id": "x755fec76"}, {"kind": "Video", "id": "x83dfb64f"}, {"kind": "Video", "id": "xe1a3df59"}], "children": [{"translated_youtube_id": "FtUekmRNi8M", "relative_url": "/video/photographs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/photographs", "duration": 185, "translated_title": "Photographs", "translated_description_html": "

The Getty photography collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? Follow us on Google+<\/a><\/p>", "id": "x614abf77", "description_html": "

The Getty photography collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? Follow us on Google+<\/a><\/p>", "title": "Photographs", "progress_key": "vx614abf77", "edit_slug": "edit/v/x614abf77", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The Getty photography collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/photographs", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FtUekmRNi8M.mp4/FtUekmRNi8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FtUekmRNi8M.mp4/FtUekmRNi8M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FtUekmRNi8M.m3u8/FtUekmRNi8M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FtUekmRNi8M&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx614abf77", "sha": "95f37f1de51b57c8e5c97edcc31eb8e9e4bbbc43", "translated_description": "The Getty photography collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/FtUekmRNi8M/hqdefault.jpg", "youtube_id": "FtUekmRNi8M", "content_kind": "Video", "readable_id": "photographs"}, {"translated_youtube_id": "N0Ambe4FwQk", "relative_url": "/video/early-photography-daguerreotypes", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/early-photography-daguerreotypes", "duration": 344, "translated_title": "Early photography: making daguerreotypes", "translated_description_html": "

The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? Follow us on Google+<\/a><\/p>", "id": "x0e92121e", "description_html": "

The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? Follow us on Google+<\/a><\/p>", "title": "Early photography: making daguerreotypes", "progress_key": "vx0e92121e", "edit_slug": "edit/v/x0e92121e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/early-photography-daguerreotypes", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N0Ambe4FwQk.mp4/N0Ambe4FwQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N0Ambe4FwQk.mp4/N0Ambe4FwQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N0Ambe4FwQk.m3u8/N0Ambe4FwQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N0Ambe4FwQk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0e92121e", "sha": "e49987e941e13330dccac0e9f9f05f1d210a476f", "translated_description": "The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/N0Ambe4FwQk/hqdefault.jpg", "youtube_id": "N0Ambe4FwQk", "content_kind": "Video", "readable_id": "early-photography-daguerreotypes"}, {"translated_youtube_id": "MiAhPIUno1o", "relative_url": "/video/wet-collodion-process", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/wet-collodion-process", "duration": 373, "translated_title": "The wet collodion process", "translated_description_html": "

The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? Follow us on Google+<\/a><\/p>", "id": "x06898c45", "description_html": "

The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? Follow us on Google+<\/a><\/p>", "title": "The wet collodion process", "progress_key": "vx06898c45", "edit_slug": "edit/v/x06898c45", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? Follow us on Google+", "extra_properties": {"original_url": ""}, "node_slug": "v/wet-collodion-process", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/MiAhPIUno1o.mp4/MiAhPIUno1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MiAhPIUno1o.mp4/MiAhPIUno1o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MiAhPIUno1o.m3u8/MiAhPIUno1o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=MiAhPIUno1o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx06898c45", "sha": "e7eb83a0d4e675a7aaac4fc8b17e76e6171eb5f6", "translated_description": "The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/MiAhPIUno1o/hqdefault.jpg", "youtube_id": "MiAhPIUno1o", "content_kind": "Video", "readable_id": "wet-collodion-process"}, {"translated_youtube_id": "g6SJ6LBl51o", "relative_url": "/video/development-of-photography-railroad", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/development-of-photography-railroad", "duration": 226, "translated_title": "The development of photography and the railroad", "translated_description_html": "

From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? Follow us on Google+<\/a><\/p>", "id": "x35d07181", "description_html": "

From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? Follow us on Google+<\/a><\/p>", "title": "The development of photography and the railroad", "progress_key": "vx35d07181", "edit_slug": "edit/v/x35d07181", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/development-of-photography-railroad", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g6SJ6LBl51o.mp4/g6SJ6LBl51o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g6SJ6LBl51o.mp4/g6SJ6LBl51o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g6SJ6LBl51o.m3u8/g6SJ6LBl51o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g6SJ6LBl51o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx35d07181", "sha": "c9cfd96a71bf86c08fa9231a4f35b82e6f2fee5f", "translated_description": "From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/g6SJ6LBl51o/hqdefault.jpg", "youtube_id": "g6SJ6LBl51o", "content_kind": "Video", "readable_id": "development-of-photography-railroad"}, {"translated_youtube_id": "z_guKLKwjgY", "relative_url": "/video/emerson-naturalistic-photography", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/emerson-naturalistic-photography", "duration": 455, "translated_title": "P.H. Emerson's naturalistic photography", "translated_description_html": "

P.H. Emerson (1856-1936) believed that \"nothing in nature has a hard outline\" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x3ace4c00", "description_html": "

P.H. Emerson (1856-1936) believed that \"nothing in nature has a hard outline\" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? Follow us on Google+<\/a>
<\/p>", "title": "P.H. Emerson's naturalistic photography", "progress_key": "vx3ace4c00", "edit_slug": "edit/v/x3ace4c00", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "P.H. Emerson (1856-1936) believed that \"nothing in nature has a hard outline\" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/emerson-naturalistic-photography", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/z_guKLKwjgY.mp4/z_guKLKwjgY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z_guKLKwjgY.mp4/z_guKLKwjgY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z_guKLKwjgY.m3u8/z_guKLKwjgY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=z_guKLKwjgY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3ace4c00", "sha": "33bf7fff9dd377f7129641e530900eb7c43beba7", "translated_description": "P.H. Emerson (1856-1936) believed that \"nothing in nature has a hard outline\" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/z_guKLKwjgY/hqdefault.jpg", "youtube_id": "z_guKLKwjgY", "content_kind": "Video", "readable_id": "emerson-naturalistic-photography"}, {"translated_youtube_id": "kuuZS2phD10", "relative_url": "/video/manhatta-strand-and-sheeler", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/manhatta-strand-and-sheeler", "duration": 447, "translated_title": "\"Manhatta:\" A film by Paul Strand and Charles Sheeler", "translated_description_html": "

In 1920 Paul Strand and Charles Sheeler collaborated on Manhatta<\/em>, a short silent film that inspired by Walt Whitman's \"Leaves of Grass.\" Manhatta<\/em> is considered the first American avant-garde film. Love art? Follow us on Google+<\/a><\/p>", "id": "x52746445", "description_html": "

In 1920 Paul Strand and Charles Sheeler collaborated on Manhatta<\/em>, a short silent film that inspired by Walt Whitman's \"Leaves of Grass.\" Manhatta<\/em> is considered the first American avant-garde film. Love art? Follow us on Google+<\/a><\/p>", "title": "\"Manhatta:\" A film by Paul Strand and Charles Sheeler", "progress_key": "vx52746445", "edit_slug": "edit/v/x52746445", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In 1920 Paul Strand and Charles Sheeler collaborated on Manhatta, a short silent film that inspired by Walt Whitman's \"Leaves of Grass.\" Manhatta is considered the first American avant-garde film. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/manhatta-strand-and-sheeler", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kuuZS2phD10.mp4/kuuZS2phD10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kuuZS2phD10.mp4/kuuZS2phD10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kuuZS2phD10.m3u8/kuuZS2phD10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kuuZS2phD10&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx52746445", "sha": "3787731dc81e5255b9c916ab63db82fc0bf2c8b1", "translated_description": "In 1920 Paul Strand and Charles Sheeler collaborated on Manhatta, a short silent film that inspired by Walt Whitman's \"Leaves of Grass.\" Manhatta is considered the first American avant-garde film. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/kuuZS2phD10/hqdefault.jpg", "youtube_id": "kuuZS2phD10", "content_kind": "Video", "readable_id": "manhatta-strand-and-sheeler"}, {"translated_youtube_id": "iraSrCMRD9E", "relative_url": "/video/poison-short-film-by-ray", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/poison-short-film-by-ray", "duration": 210, "translated_title": "\"Poison:\" a short film by Man Ray", "translated_description_html": "

Poison<\/em> (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself. Love art? Follow us on Google+<\/a><\/p>", "id": "xea9104a6", "description_html": "

Poison<\/em> (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself. Love art? Follow us on Google+<\/a><\/p>", "title": "\"Poison:\" a short film by Man Ray", "progress_key": "vxea9104a6", "edit_slug": "edit/v/xea9104a6", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Poison (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/poison-short-film-by-ray", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iraSrCMRD9E.mp4/iraSrCMRD9E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iraSrCMRD9E.mp4/iraSrCMRD9E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iraSrCMRD9E.m3u8/iraSrCMRD9E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iraSrCMRD9E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxea9104a6", "sha": "efc00cce57bb8744d6188b0f2cbbbe4ade8edf5a", "translated_description": "Poison (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/iraSrCMRD9E/hqdefault.jpg", "youtube_id": "iraSrCMRD9E", "content_kind": "Video", "readable_id": "poison-short-film-by-ray"}, {"translated_youtube_id": "m8sAnq8XC9k", "relative_url": "/video/manuel-alvarez-bravo-poetic-eye", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/manuel-alvarez-bravo-poetic-eye", "duration": 290, "translated_title": "Manuel Alvarez Bravo's poetic eye", "translated_description_html": "

Manuel Alvarez Bravo's photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.<\/p>

Love art? Follow us on Google+<\/a><\/p>", "id": "x879db446", "description_html": "

Manuel Alvarez Bravo's photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.<\/p>

Love art? Follow us on Google+<\/a><\/p>", "title": "Manuel Alvarez Bravo's poetic eye", "progress_key": "vx879db446", "edit_slug": "edit/v/x879db446", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Manuel Alvarez Bravo's photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/manuel-alvarez-bravo-poetic-eye", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m8sAnq8XC9k.mp4/m8sAnq8XC9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m8sAnq8XC9k.mp4/m8sAnq8XC9k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m8sAnq8XC9k.m3u8/m8sAnq8XC9k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m8sAnq8XC9k&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx879db446", "sha": "51a36849d7dfabf3f4b0aead414cb7ba3f6cccb6", "translated_description": "Manuel Alvarez Bravo's photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/m8sAnq8XC9k/hqdefault.jpg", "youtube_id": "m8sAnq8XC9k", "content_kind": "Video", "readable_id": "manuel-alvarez-bravo-poetic-eye"}, {"translated_youtube_id": "DlXfbixbGG8", "relative_url": "/video/evans-his-own-words", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/evans-his-own-words", "duration": 278, "translated_title": "Walker Evans in his own words", "translated_description_html": "

Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee.  Love art? Follow us on Google+<\/a>
<\/p>", "id": "x5e8bf000", "description_html": "

Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee.  Love art? Follow us on Google+<\/a>
<\/p>", "title": "Walker Evans in his own words", "progress_key": "vx5e8bf000", "edit_slug": "edit/v/x5e8bf000", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee.  Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/evans-his-own-words", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DlXfbixbGG8.mp4/DlXfbixbGG8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DlXfbixbGG8.mp4/DlXfbixbGG8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DlXfbixbGG8.m3u8/DlXfbixbGG8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DlXfbixbGG8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5e8bf000", "sha": "a46fff24ca3f655983916a461bbc315e7ab95f1f", "translated_description": "Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee.  Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/DlXfbixbGG8/hqdefault.jpg", "youtube_id": "DlXfbixbGG8", "content_kind": "Video", "readable_id": "evans-his-own-words"}, {"translated_youtube_id": "KQPS3KI5-yM", "relative_url": "/video/dorothea-lange-documentary-photographs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dorothea-lange-documentary-photographs", "duration": 272, "translated_title": "Dorothea Lange's documentary photographs", "translated_description_html": "

Dorothea Lange's images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? Follow us on Google+<\/a>
<\/p>", "id": "x8133be72", "description_html": "

Dorothea Lange's images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Dorothea Lange's documentary photographs", "progress_key": "vx8133be72", "edit_slug": "edit/v/x8133be72", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Dorothea Lange's images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/dorothea-lange-documentary-photographs", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KQPS3KI5-yM.mp4/KQPS3KI5-yM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KQPS3KI5-yM.mp4/KQPS3KI5-yM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KQPS3KI5-yM.m3u8/KQPS3KI5-yM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KQPS3KI5-yM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8133be72", "sha": "111880ddd342df65e50dee67c8dc8377847fdf74", "translated_description": "Dorothea Lange's images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/KQPS3KI5-yM/hqdefault.jpg", "youtube_id": "KQPS3KI5-yM", "content_kind": "Video", "readable_id": "dorothea-lange-documentary-photographs"}, {"translated_youtube_id": "oOIk4Z4VdB4", "relative_url": "/video/hay-tiempo--there-is-time---graciela-iturbide", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/hay-tiempo--there-is-time---graciela-iturbide", "duration": 1161, "translated_title": "Graciela Iturbide: hay tiempo (there is time)", "translated_description_html": "

Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? Follow us on Google+<\/a><\/p>", "id": "xa0829ce2", "description_html": "

Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? Follow us on Google+<\/a><\/p>", "title": "Graciela Iturbide: hay tiempo (there is time)", "progress_key": "vxa0829ce2", "edit_slug": "edit/v/xa0829ce2", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/hay-tiempo--there-is-time---graciela-iturbide", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oOIk4Z4VdB4.mp4/oOIk4Z4VdB4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oOIk4Z4VdB4.mp4/oOIk4Z4VdB4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oOIk4Z4VdB4.m3u8/oOIk4Z4VdB4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oOIk4Z4VdB4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa0829ce2", "sha": "b649056b320bb820ac32a42476516cf96eee09aa", "translated_description": "Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/oOIk4Z4VdB4/hqdefault.jpg", "youtube_id": "oOIk4Z4VdB4", "content_kind": "Video", "readable_id": "hay-tiempo--there-is-time---graciela-iturbide"}, {"translated_youtube_id": "6d97X9sE4MQ", "relative_url": "/video/humble-photographs-los-angeles", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/humble-photographs-los-angeles", "duration": 201, "translated_title": "John Humble's photographs of Los Angeles", "translated_description_html": "

Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? Follow us on Google+<\/a> All images ©John Humble, courtesy the Jan Kesner Gallery.<\/p>", "id": "xf14bb10e", "description_html": "

Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? Follow us on Google+<\/a> All images ©John Humble, courtesy the Jan Kesner Gallery.<\/p>", "title": "John Humble's photographs of Los Angeles", "progress_key": "vxf14bb10e", "edit_slug": "edit/v/xf14bb10e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? Follow us on Google+ All images ©John Humble, courtesy the Jan Kesner Gallery.", "extra_properties": {}, "node_slug": "v/humble-photographs-los-angeles", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6d97X9sE4MQ.mp4/6d97X9sE4MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6d97X9sE4MQ.mp4/6d97X9sE4MQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6d97X9sE4MQ.m3u8/6d97X9sE4MQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6d97X9sE4MQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf14bb10e", "sha": "aef95d4bbd1bceafcb48a6560b88ec92aaf93179", "translated_description": "Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? Follow us on Google+ All images ©John Humble, courtesy the Jan Kesner Gallery.", "image_url": "https://img.youtube.com/vi/6d97X9sE4MQ/hqdefault.jpg", "youtube_id": "6d97X9sE4MQ", "content_kind": "Video", "readable_id": "humble-photographs-los-angeles"}, {"translated_youtube_id": "juc6Kd8jnJc", "relative_url": "/video/vergara-changing-urban-landscape", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/vergara-changing-urban-landscape", "duration": 145, "translated_title": "Camilo Vergara documents the changing urban landscape", "translated_description_html": "

In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? Follow us on Google+<\/a>
<\/p>", "id": "xdc886aa8", "description_html": "

In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? Follow us on Google+<\/a>
<\/p>", "title": "Camilo Vergara documents the changing urban landscape", "progress_key": "vxdc886aa8", "edit_slug": "edit/v/xdc886aa8", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/vergara-changing-urban-landscape", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/juc6Kd8jnJc.mp4/juc6Kd8jnJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/juc6Kd8jnJc.mp4/juc6Kd8jnJc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/juc6Kd8jnJc.m3u8/juc6Kd8jnJc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=juc6Kd8jnJc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdc886aa8", "sha": "4f83af909253020b0258fc6b44ce745e34729c7a", "translated_description": "In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/juc6Kd8jnJc/hqdefault.jpg", "youtube_id": "juc6Kd8jnJc", "content_kind": "Video", "readable_id": "vergara-changing-urban-landscape"}, {"translated_youtube_id": "sD123svCFHQ", "relative_url": "/video/david-hockney-pearblossom-hwy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/david-hockney-pearblossom-hwy", "duration": 191, "translated_title": "David Hockney's \"Pearblossom Hwy\"", "translated_description_html": "

The artist David Hockney called his photo collages, “drawing with a camera.” Here he discusses perspective and other issues in Pearblossom Hwy., 11-18th April 1986, #2<\/em>. Love art? Follow us on Google+<\/a><\/p>", "id": "x755fec76", "description_html": "

The artist David Hockney called his photo collages, “drawing with a camera.” Here he discusses perspective and other issues in Pearblossom Hwy., 11-18th April 1986, #2<\/em>. Love art? Follow us on Google+<\/a><\/p>", "title": "David Hockney's \"Pearblossom Hwy\"", "progress_key": "vx755fec76", "edit_slug": "edit/v/x755fec76", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "The artist David Hockney called his photo collages, “drawing with a camera.” Here he discusses perspective and other issues in Pearblossom Hwy., 11-18th April 1986, #2. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/david-hockney-pearblossom-hwy", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sD123svCFHQ.mp4/sD123svCFHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sD123svCFHQ.mp4/sD123svCFHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sD123svCFHQ.m3u8/sD123svCFHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sD123svCFHQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx755fec76", "sha": "fbcc5f378225255b7f594cdedfd5aed98097ceed", "translated_description": "The artist David Hockney called his photo collages, “drawing with a camera.” Here he discusses perspective and other issues in Pearblossom Hwy., 11-18th April 1986, #2. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/sD123svCFHQ/hqdefault.jpg", "youtube_id": "sD123svCFHQ", "content_kind": "Video", "readable_id": "david-hockney-pearblossom-hwy"}, {"translated_youtube_id": "_dObpPBwfU8", "relative_url": "/video/cowin-i-see-what-you-re-saying", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cowin-i-see-what-you-re-saying", "duration": 151, "translated_title": "Eileen Cowin on her series \"I See What You're Saying\"", "translated_description_html": "

Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? Follow us on Google+<\/a><\/p>", "id": "x83dfb64f", "description_html": "

Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? Follow us on Google+<\/a><\/p>", "title": "Eileen Cowin on her series \"I See What You're Saying\"", "progress_key": "vx83dfb64f", "edit_slug": "edit/v/x83dfb64f", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/cowin-i-see-what-you-re-saying", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_dObpPBwfU8.mp4/_dObpPBwfU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_dObpPBwfU8.mp4/_dObpPBwfU8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_dObpPBwfU8.m3u8/_dObpPBwfU8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_dObpPBwfU8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx83dfb64f", "sha": "371ea851d52809c76c219b90bec07272006a3536", "translated_description": "Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/_dObpPBwfU8/hqdefault.jpg", "youtube_id": "_dObpPBwfU8", "content_kind": "Video", "readable_id": "cowin-i-see-what-you-re-saying"}, {"translated_youtube_id": "l2VrAsu0KeE", "relative_url": "/video/weems-from-here-i-saw-what-happened", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/weems-from-here-i-saw-what-happened", "duration": 167, "translated_title": "Carrie Mae Weems on her series \"From Here I Saw What Happened and I Cried\"", "translated_description_html": "

Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? Follow us on Google+<\/a><\/p>", "id": "xe1a3df59", "description_html": "

Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? Follow us on Google+<\/a><\/p>", "title": "Carrie Mae Weems on her series \"From Here I Saw What Happened and I Cried\"", "progress_key": "vxe1a3df59", "edit_slug": "edit/v/xe1a3df59", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/weems-from-here-i-saw-what-happened", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l2VrAsu0KeE.mp4/l2VrAsu0KeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l2VrAsu0KeE.mp4/l2VrAsu0KeE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l2VrAsu0KeE.m3u8/l2VrAsu0KeE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l2VrAsu0KeE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe1a3df59", "sha": "6dbde750a266bc469076885762d9f58b1f8590e4", "translated_description": "Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/l2VrAsu0KeE/hqdefault.jpg", "youtube_id": "l2VrAsu0KeE", "content_kind": "Video", "readable_id": "weems-from-here-i-saw-what-happened"}], "twitter_url": "", "translated_description": "Learn about some of the very first photographic techniques including the daguerreotype and the wet collodion process. Discover photographs in the Getty Museum's collection and hear artist discuss their images and process.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about some of the very first photographic techniques including the daguerreotype and the wet collodion process. Discover photographs in the Getty Museum's collection and hear artist discuss their images and process.", "x_pos": 0.0, "node_slug": "getty-photographs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax07b93bde", "topic_page_url": "/partner-content/getty-museum/getty-photographs", "extended_slug": "partner-content/getty-museum/getty-photographs", "slug": "getty-photographs", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "31b5df5ee2c362da09d6eb1dc9f5687a10321e01", "standalone_title": "Photographs", "y_pos": 0.0, "current_revision_key": "31b5df5ee2c362da09d6eb1dc9f5687a10321e01", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/getty-museum/getty-paintings", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/getty-museum/getty-paintings", "translated_standalone_title": "Paintings", "translated_title": "Paintings", "gplus_url": "", "id": "x89ec6be6", "old_key_name": null, "hide": false, "title": "Paintings", "child_data": [{"kind": "Video", "id": "x2447b562"}, {"kind": "Video", "id": "x2eff50f3"}, {"kind": "Video", "id": "x3b871577"}, {"kind": "Video", "id": "x7c815516"}, {"kind": "Video", "id": "x9428d030"}, {"kind": "Video", "id": "xd821eddb"}, {"kind": "Video", "id": "xfb133377"}, {"kind": "Video", "id": "x72d454be"}, {"kind": "Video", "id": "xda0a751e"}], "children": [{"translated_youtube_id": "DZ7ITdS4kD8", "relative_url": "/video/grand-canal-in-venice", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/grand-canal-in-venice", "duration": 184, "translated_title": "The Grand Canal in Venice", "translated_description_html": "

Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x2447b562", "description_html": "

Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "The Grand Canal in Venice", "progress_key": "vx2447b562", "edit_slug": "edit/v/x2447b562", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/grand-canal-in-venice", "deleted": false, "backup_timestamp": "2013-10-28T17:45:58Z", "date_added": "2013-10-28T17:45:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.mp4/DZ7ITdS4kD8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.mp4/DZ7ITdS4kD8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DZ7ITdS4kD8.m3u8/DZ7ITdS4kD8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DZ7ITdS4kD8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2447b562", "sha": "14921cd2859552eb4a5a9fb8ec93acfab28286fc", "translated_description": "Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/DZ7ITdS4kD8/hqdefault.jpg", "youtube_id": "DZ7ITdS4kD8", "content_kind": "Video", "readable_id": "grand-canal-in-venice"}, {"translated_youtube_id": "YKHGBkOXtMk", "relative_url": "/video/paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paintings", "duration": 181, "translated_title": "Paintings", "translated_description_html": "

J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x2eff50f3", "description_html": "

J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Paintings", "progress_key": "vx2eff50f3", "edit_slug": "edit/v/x2eff50f3", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YKHGBkOXtMk.mp4/YKHGBkOXtMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YKHGBkOXtMk.mp4/YKHGBkOXtMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YKHGBkOXtMk.m3u8/YKHGBkOXtMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YKHGBkOXtMk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2eff50f3", "sha": "d58ffd63b6d3656df8f821c2bcfdb4450ed3458b", "translated_description": "J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/YKHGBkOXtMk/hqdefault.jpg", "youtube_id": "YKHGBkOXtMk", "content_kind": "Video", "readable_id": "paintings"}, {"translated_youtube_id": "jm8Sva2hnvY", "relative_url": "/video/looking-at-paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/looking-at-paintings", "duration": 656, "translated_title": "Looking at paintings", "translated_description_html": "

How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x3b871577", "description_html": "

How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Looking at paintings", "progress_key": "vx3b871577", "edit_slug": "edit/v/x3b871577", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/looking-at-paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.mp4/jm8Sva2hnvY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.mp4/jm8Sva2hnvY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jm8Sva2hnvY.m3u8/jm8Sva2hnvY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jm8Sva2hnvY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3b871577", "sha": "c2c1600514e3a860ee6b45217c4252d7d96e3254", "translated_description": "How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/jm8Sva2hnvY/hqdefault.jpg", "youtube_id": "jm8Sva2hnvY", "content_kind": "Video", "readable_id": "looking-at-paintings"}, {"translated_youtube_id": "B679jxNi7zg", "relative_url": "/video/icons-of-saint-catherine-monastery", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/icons-of-saint-catherine-monastery", "duration": 567, "translated_title": "The icons of Saint Catherine's Monastery, Sinai, Egypt", "translated_description_html": "

A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+<\/a><\/p>", "id": "x7c815516", "description_html": "

A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+<\/a><\/p>", "title": "The icons of Saint Catherine's Monastery, Sinai, Egypt", "progress_key": "vx7c815516", "edit_slug": "edit/v/x7c815516", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/icons-of-saint-catherine-monastery", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.mp4/B679jxNi7zg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.mp4/B679jxNi7zg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/B679jxNi7zg.m3u8/B679jxNi7zg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=B679jxNi7zg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7c815516", "sha": "2fe9bc8622d5694d38a34d2bc197462bb3f4c36e", "translated_description": "A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/B679jxNi7zg/hqdefault.jpg", "youtube_id": "B679jxNi7zg", "content_kind": "Video", "readable_id": "icons-of-saint-catherine-monastery"}, {"translated_youtube_id": "CBsxUKKz1uY", "relative_url": "/video/Gentileschi-Divine-Love", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Gentileschi-Divine-Love", "duration": 131, "translated_title": "Orazio Gentileschi's paintings of women and divine love", "translated_description_html": "

Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x9428d030", "description_html": "

Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Orazio Gentileschi's paintings of women and divine love", "progress_key": "vx9428d030", "edit_slug": "edit/v/x9428d030", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/Gentileschi-Divine-Love", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CBsxUKKz1uY.mp4/CBsxUKKz1uY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CBsxUKKz1uY.mp4/CBsxUKKz1uY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CBsxUKKz1uY.m3u8/CBsxUKKz1uY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CBsxUKKz1uY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9428d030", "sha": "fb94466a2102bc6b6b6491585e865981d78ace2a", "translated_description": "Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/CBsxUKKz1uY/hqdefault.jpg", "youtube_id": "CBsxUKKz1uY", "content_kind": "Video", "readable_id": "Gentileschi-Divine-Love"}, {"translated_youtube_id": "8i7KS18f5kI", "relative_url": "/video/Saenredam-Utrecht-Churches", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Saenredam-Utrecht-Churches", "duration": 596, "translated_title": "Pieter Saenredam's paintings of Utrecht churches", "translated_description_html": "

Pieter Saenredam<\/a> spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "xd821eddb", "description_html": "

Pieter Saenredam<\/a> spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Pieter Saenredam's paintings of Utrecht churches", "progress_key": "vxd821eddb", "edit_slug": "edit/v/xd821eddb", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Pieter Saenredam spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/Saenredam-Utrecht-Churches", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8i7KS18f5kI.mp4/8i7KS18f5kI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8i7KS18f5kI.mp4/8i7KS18f5kI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8i7KS18f5kI.m3u8/8i7KS18f5kI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8i7KS18f5kI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd821eddb", "sha": "fd907832c35cc852e56faa063d759bb89550b8f5", "translated_description": "Pieter Saenredam spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/8i7KS18f5kI/hqdefault.jpg", "youtube_id": "8i7KS18f5kI", "content_kind": "Video", "readable_id": "Saenredam-Utrecht-Churches"}, {"translated_youtube_id": "r8w1G0qgfRM", "relative_url": "/video/David-three-paintings", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/David-three-paintings", "duration": 513, "translated_title": "Three paintings by Jacques-Louis David", "translated_description_html": "

Read a biography<\/a> of Jacques-Louis David from the J. Paul Getty Museum. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "xfb133377", "description_html": "

Read a biography<\/a> of Jacques-Louis David from the J. Paul Getty Museum. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Three paintings by Jacques-Louis David", "progress_key": "vxfb133377", "edit_slug": "edit/v/xfb133377", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Read a biography of Jacques-Louis David from the J. Paul Getty Museum. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/David-three-paintings", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/r8w1G0qgfRM.mp4/r8w1G0qgfRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r8w1G0qgfRM.mp4/r8w1G0qgfRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r8w1G0qgfRM.m3u8/r8w1G0qgfRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=r8w1G0qgfRM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfb133377", "sha": "6e1e4e79a0db78765abdd7cc7b8bf5e77104d88d", "translated_description": "Read a biography of Jacques-Louis David from the J. Paul Getty Museum. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/r8w1G0qgfRM/hqdefault.jpg", "youtube_id": "r8w1G0qgfRM", "content_kind": "Video", "readable_id": "David-three-paintings"}, {"translated_youtube_id": "lzZX3CxUY2c", "relative_url": "/video/Courbet-Painting-Technique", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Courbet-Painting-Technique", "duration": 143, "translated_title": "Gustave Courbet's painting technique", "translated_description_html": "

Palette knives, rags, sponges, fingers—Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques Courbet<\/a> may have used. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "id": "x72d454be", "description_html": "

Palette knives, rags, sponges, fingers—Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques Courbet<\/a> may have used. Love art? Follow us on <\/a>Google+<\/a> to stay in touch.<\/p>", "title": "Gustave Courbet's painting technique", "progress_key": "vx72d454be", "edit_slug": "edit/v/x72d454be", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Palette knives, rags, sponges, fingers—Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques Courbet may have used. Love art? Follow us on Google+ to stay in touch.", "extra_properties": {}, "node_slug": "v/Courbet-Painting-Technique", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lzZX3CxUY2c.mp4/lzZX3CxUY2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lzZX3CxUY2c.mp4/lzZX3CxUY2c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lzZX3CxUY2c.m3u8/lzZX3CxUY2c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lzZX3CxUY2c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx72d454be", "sha": "f4594c12b9f5069518b42b44ffa2054d635efff1", "translated_description": "Palette knives, rags, sponges, fingers—Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques Courbet may have used. Love art? Follow us on Google+ to stay in touch.", "image_url": "https://img.youtube.com/vi/lzZX3CxUY2c/hqdefault.jpg", "youtube_id": "lzZX3CxUY2c", "content_kind": "Video", "readable_id": "Courbet-Painting-Technique"}, {"translated_youtube_id": "-Bykx5cBKMI", "relative_url": "/video/paul-cezanne-approach-watercolor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/paul-cezanne-approach-watercolor", "duration": 164, "translated_title": "Paul Cézanne's approach to watercolor", "translated_description_html": "

Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+<\/a><\/p>", "id": "xda0a751e", "description_html": "

Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+<\/a><\/p>", "title": "Paul Cézanne's approach to watercolor", "progress_key": "vxda0a751e", "edit_slug": "edit/v/xda0a751e", "author_names": ["Getty Museum"], "deleted_mod_time": null, "description": "Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+", "extra_properties": {}, "node_slug": "v/paul-cezanne-approach-watercolor", "deleted": false, "backup_timestamp": "2013-10-28T17:45:57Z", "date_added": "2013-10-28T17:45:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.mp4/-Bykx5cBKMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.mp4/-Bykx5cBKMI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-Bykx5cBKMI.m3u8/-Bykx5cBKMI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-Bykx5cBKMI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxda0a751e", "sha": "3034c2cf0f5f72e408447afc492e91cf2cca6dc5", "translated_description": "Learn how watercolors are made and Paul Cézanne's unique approach to the medium. Love art? Follow us on Google+", "image_url": "https://img.youtube.com/vi/-Bykx5cBKMI/hqdefault.jpg", "youtube_id": "-Bykx5cBKMI", "content_kind": "Video", "readable_id": "paul-cezanne-approach-watercolor"}], "twitter_url": "", "translated_description": "Learn about some of the great paintings in the Getty Museum's collection and discover the techniques used by the artists that made them.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about some of the great paintings in the Getty Museum's collection and discover the techniques used by the artists that made them.", "x_pos": 0.0, "node_slug": "getty-paintings", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax89ec6be6", "topic_page_url": "/partner-content/getty-museum/getty-paintings", "extended_slug": "partner-content/getty-museum/getty-paintings", "slug": "getty-paintings", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2fe535c816638c5a7a38851d15e7c614f7841db2", "standalone_title": "Paintings", "y_pos": 0.0, "current_revision_key": "2fe535c816638c5a7a38851d15e7c614f7841db2", "content_kind": "Topic"}], "twitter_url": "http://www.twitter.com/gettymuseum", "translated_description": "The J. Paul Getty Museum seeks to inspire curiosity about, and enjoyment and understanding of, the visual arts by collecting, conserving, exhibiting and interpreting works of art of outstanding quality and historical importance. To fulfill this mission, the Museum continues to build its collections through purchase and gifts, and develops programs of exhibitions, publications, scholarly research, public education, and the performing arts that engage our diverse local and international audiences. All of these activities are enhanced by the uniquely evocative architectural and garden settings provided by the Museum's two renowned venues: the Getty Villa and the Getty Center.", "deleted_mod_time": null, "logo_image_url": "https://ka-perseus-images.s3.amazonaws.com/ef210311c64de33e8eda7868b1ee59787695c92a.png", "in_knowledge_map": false, "description": "The J. Paul Getty Museum seeks to inspire curiosity about, and enjoyment and understanding of, the visual arts by collecting, conserving, exhibiting and interpreting works of art of outstanding quality and historical importance. To fulfill this mission, the Museum continues to build its collections through purchase and gifts, and develops programs of exhibitions, publications, scholarly research, public education, and the performing arts that engage our diverse local and international audiences. All of these activities are enhanced by the uniquely evocative architectural and garden settings provided by the Museum's two renowned venues: the Getty Villa and the Getty Center.", "x_pos": 0.0, "node_slug": "getty-museum", "deleted": false, "facebook_url": "http://www.facebook.com/gettymuseum", "backup_timestamp": "2013-10-28T17:45:57Z", "render_type": "Subject", "background_image_url": "https://ka-perseus-images.s3.amazonaws.com/da391f19798389d6b01080ac4d09962849516cb6.jpeg", "background_image_caption": "Vincent van Gogh, Irises<\/em>, oil on canvas, 28 x 36 5/8 in. (The J. Paul Getty Museum)", "assessment_progress_key": "axd45c6cf9", "topic_page_url": "/partner-content/getty-museum", "extended_slug": "partner-content/getty-museum", "slug": "getty-museum", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "af79a6bc822a5558f4b430b43570c26a3c4f189b", "standalone_title": "J. Paul Getty Museum", "y_pos": 0.0, "current_revision_key": "af79a6bc822a5558f4b430b43570c26a3c4f189b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine", "translated_standalone_title": "Stanford School of Medicine", "translated_title": "Stanford School of Medicine", "gplus_url": "", "id": "xbb5b204c", "old_key_name": null, "hide": false, "title": "Stanford School of Medicine", "child_data": [{"kind": "Topic", "id": "x367aad97"}, {"kind": "Topic", "id": "x60a28837"}, {"kind": "Topic", "id": "xa8e8e983"}, {"kind": "Topic", "id": "xd7880572"}, {"kind": "Topic", "id": "xbe5a08b6"}, {"kind": "Topic", "id": "x09b9c42e"}, {"kind": "Topic", "id": "x377372bf"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine/tuberculosis", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine/tuberculosis", "translated_standalone_title": "Tuberculosis", "translated_title": "Tuberculosis", "gplus_url": "", "id": "x367aad97", "old_key_name": null, "hide": false, "title": "Tuberculosis", "child_data": [{"kind": "Video", "id": "x29195b3b"}, {"kind": "Video", "id": "x8a44aa61"}, {"kind": "Video", "id": "x78ad6189"}, {"kind": "Video", "id": "x21432e85"}, {"kind": "Video", "id": "x01adc883"}, {"kind": "Video", "id": "x83ba10b3"}, {"kind": "Video", "id": "xbe2b5861"}, {"kind": "Video", "id": "x1ad461d7"}, {"kind": "Video", "id": "xc014a915"}, {"kind": "Video", "id": "xe2f122ee"}, {"kind": "Video", "id": "xcbaac90c"}, {"kind": "Video", "id": "x8a772643"}, {"kind": "Video", "id": "xae1e013d"}, {"kind": "Video", "id": "xc348c3fa"}, {"kind": "Video", "id": "x4ee1362f"}], "children": [{"translated_youtube_id": "wV1pllyOaj8", "relative_url": "/video/what-is-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/what-is-tb", "duration": 747, "translated_title": "What is TB?", "translated_description_html": "Find out the basics of TB, where it comes from and where it goes. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x29195b3b", "description_html": "Find out the basics of TB, where it comes from and where it goes. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "What is TB?", "progress_key": "vx29195b3b", "edit_slug": "edit/v/x29195b3b", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out the basics of TB, where it comes from and where it goes. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/what-is-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wV1pllyOaj8.mp4/wV1pllyOaj8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wV1pllyOaj8.mp4/wV1pllyOaj8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wV1pllyOaj8.m3u8/wV1pllyOaj8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wV1pllyOaj8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx29195b3b", "sha": "2aeaa8dbffa9dfbe3b7ce758b1bd47dd93b6e173", "translated_description": "Find out the basics of TB, where it comes from and where it goes. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/wV1pllyOaj8/hqdefault.jpg", "youtube_id": "wV1pllyOaj8", "content_kind": "Video", "readable_id": "what-is-tb"}, {"translated_youtube_id": "56tSt0TpnAk", "relative_url": "/video/tb-epidemiology", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tb-epidemiology", "duration": 367, "translated_title": "TB epidemiology", "translated_description_html": "Find out how many lives are affected by TB around the world. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x8a44aa61", "description_html": "Find out how many lives are affected by TB around the world. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "TB epidemiology", "progress_key": "vx8a44aa61", "edit_slug": "edit/v/x8a44aa61", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how many lives are affected by TB around the world. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/tb-epidemiology", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/56tSt0TpnAk.mp4/56tSt0TpnAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/56tSt0TpnAk.mp4/56tSt0TpnAk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/56tSt0TpnAk.m3u8/56tSt0TpnAk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=56tSt0TpnAk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8a44aa61", "sha": "0e92cbb19198cddc77fa32b65e48f4f2c42cb258", "translated_description": "Find out how many lives are affected by TB around the world. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/56tSt0TpnAk/hqdefault.jpg", "youtube_id": "56tSt0TpnAk", "content_kind": "Video", "readable_id": "tb-epidemiology"}, {"translated_youtube_id": "S0Kak0qQFgM", "relative_url": "/video/tb-pathogenesis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tb-pathogenesis", "duration": 701, "translated_title": "TB pathogenesis", "translated_description_html": "Find out exactly how TB causes damage to the lungs. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x78ad6189", "description_html": "Find out exactly how TB causes damage to the lungs. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "TB pathogenesis", "progress_key": "vx78ad6189", "edit_slug": "edit/v/x78ad6189", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out exactly how TB causes damage to the lungs. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/tb-pathogenesis", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0Kak0qQFgM.mp4/S0Kak0qQFgM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0Kak0qQFgM.mp4/S0Kak0qQFgM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S0Kak0qQFgM.m3u8/S0Kak0qQFgM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S0Kak0qQFgM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx78ad6189", "sha": "2f1ae695b8cfc3303400d49f221bdde17ef26cc1", "translated_description": "Find out exactly how TB causes damage to the lungs. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/S0Kak0qQFgM/hqdefault.jpg", "youtube_id": "S0Kak0qQFgM", "content_kind": "Video", "readable_id": "tb-pathogenesis"}, {"translated_youtube_id": "3Em2Zzn796Q", "relative_url": "/video/primary-and-secondary-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/primary-and-secondary-tb", "duration": 619, "translated_title": "Primary and Secondary TB", "translated_description_html": "Learn some key features of primary TB and how it differs from secondary TB. Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x21432e85", "description_html": "Learn some key features of primary TB and how it differs from secondary TB. Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Primary and Secondary TB", "progress_key": "vx21432e85", "edit_slug": "edit/v/x21432e85", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn some key features of primary TB and how it differs from secondary TB. Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/primary-and-secondary-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Em2Zzn796Q.mp4/3Em2Zzn796Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3Em2Zzn796Q.mp4/3Em2Zzn796Q.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3Em2Zzn796Q.m3u8/3Em2Zzn796Q.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3Em2Zzn796Q&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx21432e85", "sha": "45439ab8f72f55dac2f1e8fb4363364bc27d6813", "translated_description": "Learn some key features of primary TB and how it differs from secondary TB. Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/3Em2Zzn796Q/hqdefault.jpg", "youtube_id": "3Em2Zzn796Q", "content_kind": "Video", "readable_id": "primary-and-secondary-tb"}, {"translated_youtube_id": "tp_qdvgXtVc", "relative_url": "/video/pulmonary-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/pulmonary-tb", "duration": 738, "translated_title": "Pulmonary TB", "translated_description_html": "Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x01adc883", "description_html": "Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Pulmonary TB", "progress_key": "vx01adc883", "edit_slug": "edit/v/x01adc883", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/pulmonary-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tp_qdvgXtVc.mp4/tp_qdvgXtVc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tp_qdvgXtVc.mp4/tp_qdvgXtVc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tp_qdvgXtVc.m3u8/tp_qdvgXtVc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tp_qdvgXtVc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx01adc883", "sha": "db2c1f4c5e0523cfcd5d25fbe93e057fc64a5c22", "translated_description": "Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/tp_qdvgXtVc/hqdefault.jpg", "youtube_id": "tp_qdvgXtVc", "content_kind": "Video", "readable_id": "pulmonary-tb"}, {"translated_youtube_id": "Oa6dezr0JkE", "relative_url": "/video/extrapulmonary-tb--part-1", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/extrapulmonary-tb--part-1", "duration": 538, "translated_title": "Extrapulmonary TB (part 1)", "translated_description_html": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x83ba10b3", "description_html": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Extrapulmonary TB (part 1)", "progress_key": "vx83ba10b3", "edit_slug": "edit/v/x83ba10b3", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/extrapulmonary-tb--part-1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oa6dezr0JkE.mp4/Oa6dezr0JkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oa6dezr0JkE.mp4/Oa6dezr0JkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oa6dezr0JkE.m3u8/Oa6dezr0JkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oa6dezr0JkE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx83ba10b3", "sha": "6aa12689f2487537af0bbeff042361466201f1b0", "translated_description": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Oa6dezr0JkE/hqdefault.jpg", "youtube_id": "Oa6dezr0JkE", "content_kind": "Video", "readable_id": "extrapulmonary-tb--part-1"}, {"translated_youtube_id": "C4nfSAr2eWI", "relative_url": "/video/extrapulmonary-tb--part-2", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/extrapulmonary-tb--part-2", "duration": 718, "translated_title": "Extrapulmonary TB (Part 2)", "translated_description_html": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xbe2b5861", "description_html": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Extrapulmonary TB (Part 2)", "progress_key": "vxbe2b5861", "edit_slug": "edit/v/xbe2b5861", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/extrapulmonary-tb--part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-11T05:39:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C4nfSAr2eWI.mp4/C4nfSAr2eWI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C4nfSAr2eWI.mp4/C4nfSAr2eWI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C4nfSAr2eWI.m3u8/C4nfSAr2eWI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C4nfSAr2eWI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbe2b5861", "sha": "b23c385dec1c94f8a81b85a4121b3eff0928b74c", "translated_description": "Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/C4nfSAr2eWI/hqdefault.jpg", "youtube_id": "C4nfSAr2eWI", "content_kind": "Video", "readable_id": "extrapulmonary-tb--part-2"}, {"translated_youtube_id": "qbXKrR9BQmg", "relative_url": "/video/mantoux-test--aka--ppd-or-tst", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mantoux-test--aka--ppd-or-tst", "duration": 517, "translated_title": "Mantoux test (aka. PPD or TST)", "translated_description_html": "Learn how the Mantoux test is done and how it works. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x1ad461d7", "description_html": "Learn how the Mantoux test is done and how it works. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Mantoux test (aka. PPD or TST)", "progress_key": "vx1ad461d7", "edit_slug": "edit/v/x1ad461d7", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn how the Mantoux test is done and how it works. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/mantoux-test--aka--ppd-or-tst", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qbXKrR9BQmg.mp4/qbXKrR9BQmg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qbXKrR9BQmg.mp4/qbXKrR9BQmg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qbXKrR9BQmg.m3u8/qbXKrR9BQmg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qbXKrR9BQmg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1ad461d7", "sha": "5fec97563267e44e78491062785edb4e20b67169", "translated_description": "Learn how the Mantoux test is done and how it works. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/qbXKrR9BQmg/hqdefault.jpg", "youtube_id": "qbXKrR9BQmg", "content_kind": "Video", "readable_id": "mantoux-test--aka--ppd-or-tst"}, {"translated_youtube_id": "m9b_h7TiRR8", "relative_url": "/video/interpreting-the-ppd", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/interpreting-the-ppd", "duration": 425, "translated_title": "Interpreting the PPD", "translated_description_html": "Find out how the cutoff for a \"positive PPD\" depends on clinical clues. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xc014a915", "description_html": "Find out how the cutoff for a \"positive PPD\" depends on clinical clues. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Interpreting the PPD", "progress_key": "vxc014a915", "edit_slug": "edit/v/xc014a915", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Find out how the cutoff for a \"positive PPD\" depends on clinical clues. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/interpreting-the-ppd", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/m9b_h7TiRR8.mp4/m9b_h7TiRR8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m9b_h7TiRR8.mp4/m9b_h7TiRR8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m9b_h7TiRR8.m3u8/m9b_h7TiRR8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=m9b_h7TiRR8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc014a915", "sha": "8d19f5a169a5a31cb9ef06fdd0feb6b5f5f6a2f6", "translated_description": "Find out how the cutoff for a \"positive PPD\" depends on clinical clues. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/m9b_h7TiRR8/hqdefault.jpg", "youtube_id": "m9b_h7TiRR8", "content_kind": "Video", "readable_id": "interpreting-the-ppd"}, {"translated_youtube_id": "faqhDcrWfHQ", "relative_url": "/video/diagnosing-active-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/diagnosing-active-tb", "duration": 964, "translated_title": "Diagnosing active TB", "translated_description_html": "Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xe2f122ee", "description_html": "Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Diagnosing active TB", "progress_key": "vxe2f122ee", "edit_slug": "edit/v/xe2f122ee", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/diagnosing-active-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/faqhDcrWfHQ.mp4/faqhDcrWfHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/faqhDcrWfHQ.mp4/faqhDcrWfHQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/faqhDcrWfHQ.m3u8/faqhDcrWfHQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=faqhDcrWfHQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe2f122ee", "sha": "7c374e220d7c8d6a5cc67d629475aa85ed279315", "translated_description": "Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/faqhDcrWfHQ/hqdefault.jpg", "youtube_id": "faqhDcrWfHQ", "content_kind": "Video", "readable_id": "diagnosing-active-tb"}, {"translated_youtube_id": "hAXnQgU4bsg", "relative_url": "/video/preventing-tb-transmission", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preventing-tb-transmission", "duration": 683, "translated_title": "Preventing TB transmission", "translated_description_html": "There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xcbaac90c", "description_html": "There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Preventing TB transmission", "progress_key": "vxcbaac90c", "edit_slug": "edit/v/xcbaac90c", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/preventing-tb-transmission", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hAXnQgU4bsg.mp4/hAXnQgU4bsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hAXnQgU4bsg.mp4/hAXnQgU4bsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hAXnQgU4bsg.m3u8/hAXnQgU4bsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hAXnQgU4bsg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcbaac90c", "sha": "218bf0d6cdede249cd20b9f08e6a075f6aed9927", "translated_description": "There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/hAXnQgU4bsg/hqdefault.jpg", "youtube_id": "hAXnQgU4bsg", "content_kind": "Video", "readable_id": "preventing-tb-transmission"}, {"translated_youtube_id": "_20mkyAB7tY", "relative_url": "/video/preventing-tb-using-the--4-i-s", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/preventing-tb-using-the--4-i-s", "duration": 692, "translated_title": "Preventing TB using the \"4 I's\"", "translated_description_html": "Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x8a772643", "description_html": "Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Preventing TB using the \"4 I's\"", "progress_key": "vx8a772643", "edit_slug": "edit/v/x8a772643", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/preventing-tb-using-the--4-i-s", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_20mkyAB7tY.mp4/_20mkyAB7tY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_20mkyAB7tY.mp4/_20mkyAB7tY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_20mkyAB7tY.m3u8/_20mkyAB7tY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_20mkyAB7tY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx8a772643", "sha": "a68bdff8455c3682f9b1e8d568844508ded5e3e3", "translated_description": "Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/_20mkyAB7tY/hqdefault.jpg", "youtube_id": "_20mkyAB7tY", "content_kind": "Video", "readable_id": "preventing-tb-using-the--4-i-s"}, {"translated_youtube_id": "2K1ekrZ6ej4", "relative_url": "/video/treatment-of-active-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/treatment-of-active-tb", "duration": 770, "translated_title": "Treatment of Active TB", "translated_description_html": "Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xae1e013d", "description_html": "Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Treatment of Active TB", "progress_key": "vxae1e013d", "edit_slug": "edit/v/xae1e013d", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/treatment-of-active-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2K1ekrZ6ej4.mp4/2K1ekrZ6ej4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2K1ekrZ6ej4.mp4/2K1ekrZ6ej4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2K1ekrZ6ej4.m3u8/2K1ekrZ6ej4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2K1ekrZ6ej4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxae1e013d", "sha": "6cdf54aeafaa496ec81977b72f259dc462322721", "translated_description": "Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/2K1ekrZ6ej4/hqdefault.jpg", "youtube_id": "2K1ekrZ6ej4", "content_kind": "Video", "readable_id": "treatment-of-active-tb"}, {"translated_youtube_id": "vce3BZFo27Y", "relative_url": "/video/drug-resistant-tb", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/drug-resistant-tb", "duration": 523, "translated_title": "Drug-resistant TB", "translated_description_html": "Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xc348c3fa", "description_html": "Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Drug-resistant TB", "progress_key": "vxc348c3fa", "edit_slug": "edit/v/xc348c3fa", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/drug-resistant-tb", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vce3BZFo27Y.mp4/vce3BZFo27Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vce3BZFo27Y.mp4/vce3BZFo27Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vce3BZFo27Y.m3u8/vce3BZFo27Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vce3BZFo27Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc348c3fa", "sha": "ef635a929124cd3fbd467c44b5381b48616532a2", "translated_description": "Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/vce3BZFo27Y/hqdefault.jpg", "youtube_id": "vce3BZFo27Y", "content_kind": "Video", "readable_id": "drug-resistant-tb"}, {"translated_youtube_id": "S8s-g7KZR50", "relative_url": "/video/tb-and-hiv", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tb-and-hiv", "duration": 537, "translated_title": "TB and HIV", "translated_description_html": "Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x4ee1362f", "description_html": "Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "TB and HIV", "progress_key": "vx4ee1362f", "edit_slug": "edit/v/x4ee1362f", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/tb-and-hiv", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-06-11T05:39:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/S8s-g7KZR50.mp4/S8s-g7KZR50.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S8s-g7KZR50.mp4/S8s-g7KZR50.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/S8s-g7KZR50.m3u8/S8s-g7KZR50.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=S8s-g7KZR50&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4ee1362f", "sha": "bb2c0ea2ff840c536f3d12a419731d88cdd0c36b", "translated_description": "Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/S8s-g7KZR50/hqdefault.jpg", "youtube_id": "S8s-g7KZR50", "content_kind": "Video", "readable_id": "tb-and-hiv"}], "twitter_url": "", "translated_description": "Learn about tuberculosis and how it can be treated.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about tuberculosis and how it can be treated.", "x_pos": 0.0, "node_slug": "tuberculosis", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax367aad97", "topic_page_url": "/partner-content/stanford-medicine/tuberculosis", "extended_slug": "partner-content/stanford-medicine/tuberculosis", "slug": "tuberculosis", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "abc337bdb09e1a55a7ccd87648c281af2abd4b2a", "standalone_title": "Tuberculosis", "y_pos": 0.0, "current_revision_key": "abc337bdb09e1a55a7ccd87648c281af2abd4b2a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine/stanford-influenza", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine/stanford-influenza", "translated_standalone_title": "Influenza", "translated_title": "Influenza", "gplus_url": "", "id": "x60a28837", "old_key_name": null, "hide": false, "title": "Influenza", "child_data": [{"kind": "Video", "id": "x3a50cfcf"}, {"kind": "Video", "id": "x64824e3a"}, {"kind": "Video", "id": "x9403e324"}, {"kind": "Video", "id": "xd52c14f2"}, {"kind": "Video", "id": "xdc037c10"}, {"kind": "Video", "id": "xdb0485b2"}, {"kind": "Video", "id": "x286370ea"}], "children": [{"translated_youtube_id": "jYhnlqE1cJY", "relative_url": "/video/flu-symptoms-and-diagnosis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-symptoms-and-diagnosis", "duration": 267, "translated_title": "Flu Symptoms and Diagnosis", "translated_description_html": "Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x3a50cfcf", "description_html": "Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu Symptoms and Diagnosis", "progress_key": "vx3a50cfcf", "edit_slug": "edit/v/x3a50cfcf", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/flu-symptoms-and-diagnosis", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jYhnlqE1cJY.mp4/jYhnlqE1cJY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jYhnlqE1cJY.mp4/jYhnlqE1cJY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jYhnlqE1cJY.m3u8/jYhnlqE1cJY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jYhnlqE1cJY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3a50cfcf", "sha": "f8d9dceb7554aff92205d98dbc1507ebb6b96472", "translated_description": "Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/jYhnlqE1cJY/hqdefault.jpg", "youtube_id": "jYhnlqE1cJY", "content_kind": "Video", "readable_id": "flu-symptoms-and-diagnosis"}, {"translated_youtube_id": "mbbk7oehP1Y", "relative_url": "/video/flu-epidemiology", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-epidemiology", "duration": 161, "translated_title": "Flu Epidemiology", "translated_description_html": "The flu has been causing disease and death for a long time. Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x64824e3a", "description_html": "The flu has been causing disease and death for a long time. Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu Epidemiology", "progress_key": "vx64824e3a", "edit_slug": "edit/v/x64824e3a", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "The flu has been causing disease and death for a long time. Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/flu-epidemiology", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mbbk7oehP1Y.mp4/mbbk7oehP1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mbbk7oehP1Y.mp4/mbbk7oehP1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mbbk7oehP1Y.m3u8/mbbk7oehP1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mbbk7oehP1Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx64824e3a", "sha": "72c2b0a807a5ca107d22479451b8e9e1bd4096c0", "translated_description": "The flu has been causing disease and death for a long time. Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/mbbk7oehP1Y/hqdefault.jpg", "youtube_id": "mbbk7oehP1Y", "content_kind": "Video", "readable_id": "flu-epidemiology"}, {"translated_youtube_id": "sZWP9b6u_5o", "relative_url": "/video/flu-pathophysiology", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-pathophysiology", "duration": 175, "translated_title": "Flu Pathophysiology", "translated_description_html": "Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x9403e324", "description_html": "Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu Pathophysiology", "progress_key": "vx9403e324", "edit_slug": "edit/v/x9403e324", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/flu-pathophysiology", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sZWP9b6u_5o.mp4/sZWP9b6u_5o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sZWP9b6u_5o.mp4/sZWP9b6u_5o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sZWP9b6u_5o.m3u8/sZWP9b6u_5o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sZWP9b6u_5o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9403e324", "sha": "cac2b9ba378605e667827a454ae3eb4e69f203f0", "translated_description": "Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/sZWP9b6u_5o/hqdefault.jpg", "youtube_id": "sZWP9b6u_5o", "content_kind": "Video", "readable_id": "flu-pathophysiology"}, {"translated_youtube_id": "Ubp-Dz5uGUk", "relative_url": "/video/genetic-shift-and-drift", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/genetic-shift-and-drift", "duration": 296, "translated_title": "Genetic Shift and Drift", "translated_description_html": "The flu virus has the unique ability to change in two different ways, causing genetic shift and drift. Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xd52c14f2", "description_html": "The flu virus has the unique ability to change in two different ways, causing genetic shift and drift. Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Genetic Shift and Drift", "progress_key": "vxd52c14f2", "edit_slug": "edit/v/xd52c14f2", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "The flu virus has the unique ability to change in two different ways, causing genetic shift and drift. Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/genetic-shift-and-drift", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ubp-Dz5uGUk.mp4/Ubp-Dz5uGUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ubp-Dz5uGUk.mp4/Ubp-Dz5uGUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ubp-Dz5uGUk.m3u8/Ubp-Dz5uGUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Ubp-Dz5uGUk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd52c14f2", "sha": "fa2e7396b528ad7bc8f59d30a15b1d38a38a60b8", "translated_description": "The flu virus has the unique ability to change in two different ways, causing genetic shift and drift. Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/Ubp-Dz5uGUk/hqdefault.jpg", "youtube_id": "Ubp-Dz5uGUk", "content_kind": "Video", "readable_id": "genetic-shift-and-drift"}, {"translated_youtube_id": "CwBmIHzmfcY", "relative_url": "/video/2-types-of-flu-vaccine", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/2-types-of-flu-vaccine", "duration": 469, "translated_title": "2 Types of Flu Vaccine", "translated_description_html": "Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xdc037c10", "description_html": "Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "2 Types of Flu Vaccine", "progress_key": "vxdc037c10", "edit_slug": "edit/v/xdc037c10", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/2-types-of-flu-vaccine", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CwBmIHzmfcY.mp4/CwBmIHzmfcY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CwBmIHzmfcY.mp4/CwBmIHzmfcY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CwBmIHzmfcY.m3u8/CwBmIHzmfcY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CwBmIHzmfcY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdc037c10", "sha": "139c6c2e322d29cea5a7ec0261835d937e4a90e7", "translated_description": "Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/CwBmIHzmfcY/hqdefault.jpg", "youtube_id": "CwBmIHzmfcY", "content_kind": "Video", "readable_id": "2-types-of-flu-vaccine"}, {"translated_youtube_id": "2X3sLszx8bQ", "relative_url": "/video/flu-risks-and-benefits", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-risks-and-benefits", "duration": 254, "translated_title": "Flu Vaccine Risks and Benefits", "translated_description_html": "Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xdb0485b2", "description_html": "Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu Vaccine Risks and Benefits", "progress_key": "vxdb0485b2", "edit_slug": "edit/v/xdb0485b2", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/flu-risks-and-benefits", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2X3sLszx8bQ.mp4/2X3sLszx8bQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2X3sLszx8bQ.mp4/2X3sLszx8bQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2X3sLszx8bQ.m3u8/2X3sLszx8bQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2X3sLszx8bQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdb0485b2", "sha": "e119098ab023a6593fa6cd1c258799f2d6712b17", "translated_description": "Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/2X3sLszx8bQ/hqdefault.jpg", "youtube_id": "2X3sLszx8bQ", "content_kind": "Video", "readable_id": "flu-risks-and-benefits"}, {"translated_youtube_id": "3YBirle0jII", "relative_url": "/video/flu-vaccine-excuses", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/flu-vaccine-excuses", "duration": 208, "translated_title": "Flu Vaccine Excuses", "translated_description_html": "Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x286370ea", "description_html": "Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Flu Vaccine Excuses", "progress_key": "vx286370ea", "edit_slug": "edit/v/x286370ea", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/flu-vaccine-excuses", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3YBirle0jII.mp4/3YBirle0jII.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3YBirle0jII.mp4/3YBirle0jII.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3YBirle0jII.m3u8/3YBirle0jII.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3YBirle0jII&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx286370ea", "sha": "7a3b70d4b1d28fb06d92820112f6f9cf1a96ecc5", "translated_description": "Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/3YBirle0jII/hqdefault.jpg", "youtube_id": "3YBirle0jII", "content_kind": "Video", "readable_id": "flu-vaccine-excuses"}], "twitter_url": "", "translated_description": "Learn about influenza symptoms, diagnosis, and treatment. Most of all, get all of your questions answered about the flu vaccine!", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about influenza symptoms, diagnosis, and treatment. Most of all, get all of your questions answered about the flu vaccine!", "x_pos": 0.0, "node_slug": "stanford-influenza", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax60a28837", "topic_page_url": "/partner-content/stanford-medicine/stanford-influenza", "extended_slug": "partner-content/stanford-medicine/stanford-influenza", "slug": "stanford-influenza", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "de7fce4b31c9579e932e4e7712e93090978f8cea", "standalone_title": "Influenza", "y_pos": 0.0, "current_revision_key": "de7fce4b31c9579e932e4e7712e93090978f8cea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine/growth-and-metabolism", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine/growth-and-metabolism", "translated_standalone_title": "Growth and Metabolism", "translated_title": "Growth and Metabolism", "gplus_url": "", "id": "xa8e8e983", "old_key_name": null, "hide": false, "title": "Growth and Metabolism", "child_data": [{"kind": "Video", "id": "x9c3b1903"}, {"kind": "Video", "id": "xd99bd874"}, {"kind": "Video", "id": "xf6b17bdd"}, {"kind": "Video", "id": "xb5cbf9b5"}], "children": [{"translated_youtube_id": "wQ1QGZ6gJ8w", "relative_url": "/video/basics-of-metabolism", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/basics-of-metabolism", "duration": 665, "translated_title": "Basics of Metabolism", "translated_description_html": "Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x9c3b1903", "description_html": "Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Basics of Metabolism", "progress_key": "vx9c3b1903", "edit_slug": "edit/v/x9c3b1903", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/basics-of-metabolism", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-05-31T23:48:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wQ1QGZ6gJ8w.mp4/wQ1QGZ6gJ8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wQ1QGZ6gJ8w.mp4/wQ1QGZ6gJ8w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wQ1QGZ6gJ8w.m3u8/wQ1QGZ6gJ8w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wQ1QGZ6gJ8w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9c3b1903", "sha": "14ee72a90f77807af5eb537f2b8c108fce0e0449", "translated_description": "Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/wQ1QGZ6gJ8w/hqdefault.jpg", "youtube_id": "wQ1QGZ6gJ8w", "content_kind": "Video", "readable_id": "basics-of-metabolism"}, {"translated_youtube_id": "v2V4zMx33Mc", "relative_url": "/video/digesting-food", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/digesting-food", "duration": 1008, "translated_title": "Digesting Food", "translated_description_html": "Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xd99bd874", "description_html": "Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Digesting Food", "progress_key": "vxd99bd874", "edit_slug": "edit/v/xd99bd874", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/digesting-food", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-31T23:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/v2V4zMx33Mc.mp4/v2V4zMx33Mc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v2V4zMx33Mc.mp4/v2V4zMx33Mc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v2V4zMx33Mc.m3u8/v2V4zMx33Mc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=v2V4zMx33Mc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd99bd874", "sha": "782e3c99e9afe01ff07ffc58c550f86d1506f41b", "translated_description": "Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/v2V4zMx33Mc/hqdefault.jpg", "youtube_id": "v2V4zMx33Mc", "content_kind": "Video", "readable_id": "digesting-food"}, {"translated_youtube_id": "lNE8jSL7WQk", "relative_url": "/video/growth-curves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/growth-curves", "duration": 579, "translated_title": "Growth Curves", "translated_description_html": "Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xf6b17bdd", "description_html": "Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Growth Curves", "progress_key": "vxf6b17bdd", "edit_slug": "edit/v/xf6b17bdd", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/growth-curves", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lNE8jSL7WQk.mp4/lNE8jSL7WQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lNE8jSL7WQk.mp4/lNE8jSL7WQk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lNE8jSL7WQk.m3u8/lNE8jSL7WQk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lNE8jSL7WQk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf6b17bdd", "sha": "1207ebfb0e447e18ceae2fc4c38781ef059e87c5", "translated_description": "Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/lNE8jSL7WQk/hqdefault.jpg", "youtube_id": "lNE8jSL7WQk", "content_kind": "Video", "readable_id": "growth-curves"}, {"translated_youtube_id": "yL8ejNmJII4", "relative_url": "/video/cycle-of-malnutrition", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cycle-of-malnutrition", "duration": 265, "translated_title": "Cycle of Malnutrition", "translated_description_html": "Unfortunately, malnutrition often causes problems that can lead to more malnutrition. Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xb5cbf9b5", "description_html": "Unfortunately, malnutrition often causes problems that can lead to more malnutrition. Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Cycle of Malnutrition", "progress_key": "vxb5cbf9b5", "edit_slug": "edit/v/xb5cbf9b5", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Unfortunately, malnutrition often causes problems that can lead to more malnutrition. Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/cycle-of-malnutrition", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-05-31T23:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yL8ejNmJII4.mp4/yL8ejNmJII4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yL8ejNmJII4.mp4/yL8ejNmJII4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yL8ejNmJII4.m3u8/yL8ejNmJII4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yL8ejNmJII4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb5cbf9b5", "sha": "7f725fd470016e1602a39d4cd94abf3f5bad181e", "translated_description": "Unfortunately, malnutrition often causes problems that can lead to more malnutrition. Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/yL8ejNmJII4/hqdefault.jpg", "youtube_id": "yL8ejNmJII4", "content_kind": "Video", "readable_id": "cycle-of-malnutrition"}], "twitter_url": "", "translated_description": "Find out what helps you grow and how we can measure growth", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Find out what helps you grow and how we can measure growth", "x_pos": 0.0, "node_slug": "growth-and-metabolism", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:14Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axa8e8e983", "topic_page_url": "/partner-content/stanford-medicine/growth-and-metabolism", "extended_slug": "partner-content/stanford-medicine/growth-and-metabolism", "slug": "growth-and-metabolism", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "86127722a13f57f8dee77714b674c1fefd241c89", "standalone_title": "Growth and Metabolism", "y_pos": 0.0, "current_revision_key": "86127722a13f57f8dee77714b674c1fefd241c89", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine/asthma", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine/asthma", "translated_standalone_title": "Asthma", "translated_title": "Asthma", "gplus_url": "", "id": "xd7880572", "old_key_name": null, "hide": false, "title": "Asthma", "child_data": [{"kind": "Video", "id": "x96fb0c71"}, {"kind": "Video", "id": "x7a01796a"}], "children": [{"translated_youtube_id": "qel8yujGuZM", "relative_url": "/video/breathing-basics", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/breathing-basics", "duration": 724, "translated_title": "Breathing Basics", "translated_description_html": "Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x96fb0c71", "description_html": "Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Breathing Basics", "progress_key": "vx96fb0c71", "edit_slug": "edit/v/x96fb0c71", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/breathing-basics", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qel8yujGuZM.mp4/qel8yujGuZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qel8yujGuZM.mp4/qel8yujGuZM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qel8yujGuZM.m3u8/qel8yujGuZM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qel8yujGuZM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx96fb0c71", "sha": "ef0fa864ce24f5c447ab2ee68c02ab07178f1426", "translated_description": "Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/qel8yujGuZM/hqdefault.jpg", "youtube_id": "qel8yujGuZM", "content_kind": "Video", "readable_id": "breathing-basics"}, {"translated_youtube_id": "SGKHQqHXmpQ", "relative_url": "/video/asthma", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/asthma", "duration": 280, "translated_title": "Asthma", "translated_description_html": "Take a glimpse into your lungs to understand what happens when you have an asthma attack. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "x7a01796a", "description_html": "Take a glimpse into your lungs to understand what happens when you have an asthma attack. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Asthma", "progress_key": "vx7a01796a", "edit_slug": "edit/v/x7a01796a", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Take a glimpse into your lungs to understand what happens when you have an asthma attack. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/asthma", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-05-31T23:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SGKHQqHXmpQ.mp4/SGKHQqHXmpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SGKHQqHXmpQ.mp4/SGKHQqHXmpQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SGKHQqHXmpQ.m3u8/SGKHQqHXmpQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SGKHQqHXmpQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx7a01796a", "sha": "03f3721d51f6753c206e67393bd1cc3e61bc3ec3", "translated_description": "Take a glimpse into your lungs to understand what happens when you have an asthma attack. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/SGKHQqHXmpQ/hqdefault.jpg", "youtube_id": "SGKHQqHXmpQ", "content_kind": "Video", "readable_id": "asthma"}], "twitter_url": "", "translated_description": "Learn how asthma causes breathing difficulties in adults and children", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how asthma causes breathing difficulties in adults and children", "x_pos": 0.0, "node_slug": "asthma", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd7880572", "topic_page_url": "/partner-content/stanford-medicine/asthma", "extended_slug": "partner-content/stanford-medicine/asthma", "slug": "asthma", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "dd42fdb2908db5c57814c8eecffb78c39aab2c3e", "standalone_title": "Asthma", "y_pos": 0.0, "current_revision_key": "dd42fdb2908db5c57814c8eecffb78c39aab2c3e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/stanford-medicine/breastfeeding", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/stanford-medicine/breastfeeding", "translated_standalone_title": "Breastfeeding", "translated_title": "Breastfeeding", "gplus_url": "", "id": "xbe5a08b6", "old_key_name": null, "hide": false, "title": "Breastfeeding", "child_data": [{"kind": "Video", "id": "xb5988ea2"}, {"kind": "Video", "id": "xa0c78854"}], "children": [{"translated_youtube_id": "iv28TEA99rg", "relative_url": "/video/breast-anatomy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/breast-anatomy", "duration": 250, "translated_title": "Breast Anatomy", "translated_description_html": "Learn the basic anatomy of the breast and how it's designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xb5988ea2", "description_html": "Learn the basic anatomy of the breast and how it's designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Breast Anatomy", "progress_key": "vxb5988ea2", "edit_slug": "edit/v/xb5988ea2", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn the basic anatomy of the breast and how it's designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/breast-anatomy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-05-31T23:48:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iv28TEA99rg.mp4/iv28TEA99rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iv28TEA99rg.mp4/iv28TEA99rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iv28TEA99rg.m3u8/iv28TEA99rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iv28TEA99rg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb5988ea2", "sha": "0402c4d54fb0ac41a1b891b0e6f3b6fa293828b1", "translated_description": "Learn the basic anatomy of the breast and how it's designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/iv28TEA99rg/hqdefault.jpg", "youtube_id": "iv28TEA99rg", "content_kind": "Video", "readable_id": "breast-anatomy"}, {"translated_youtube_id": "cMhgFt1xT7c", "relative_url": "/video/breastfeeding---letdown-reflex", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/breastfeeding---letdown-reflex", "duration": 413, "translated_title": "Breastfeeding - Letdown Reflex", "translated_description_html": "Learn how hormones help to coordinate a baby's need for milk (sucking or crying) with a woman's release of milk. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "id": "xa0c78854", "description_html": "Learn how hormones help to coordinate a baby's need for milk (sucking or crying) with a woman's release of milk. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "title": "Breastfeeding - Letdown Reflex", "progress_key": "vxa0c78854", "edit_slug": "edit/v/xa0c78854", "author_names": ["Stanford School of Medicine"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Learn how hormones help to coordinate a baby's need for milk (sucking or crying) with a woman's release of milk. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "extra_properties": {"original_url": ""}, "node_slug": "v/breastfeeding---letdown-reflex", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-05-31T23:48:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cMhgFt1xT7c.mp4/cMhgFt1xT7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cMhgFt1xT7c.mp4/cMhgFt1xT7c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cMhgFt1xT7c.m3u8/cMhgFt1xT7c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cMhgFt1xT7c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxa0c78854", "sha": "c854cc08ca60c4fe977154eb115c9463182cce9d", "translated_description": "Learn how hormones help to coordinate a baby's need for milk (sucking or crying) with a woman's release of milk. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.", "image_url": "https://img.youtube.com/vi/cMhgFt1xT7c/hqdefault.jpg", "youtube_id": "cMhgFt1xT7c", "content_kind": "Video", "readable_id": "breastfeeding---letdown-reflex"}], "twitter_url": "", "translated_description": "Learn how a mother is able to nourish a baby through breastfeeding", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how a mother is able to nourish a baby through breastfeeding", "x_pos": 0.0, "node_slug": "breastfeeding", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbe5a08b6", "topic_page_url": "/partner-content/stanford-medicine/breastfeeding", "extended_slug": "partner-content/stanford-medicine/breastfeeding", "slug": "breastfeeding", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b0d4ff12c503056095bf834eb6416f4b9a74e22c", "standalone_title": "Breastfeeding", "y_pos": 0.0, "current_revision_key": "b0d4ff12c503056095bf834eb6416f4b9a74e22c", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Stanford is collaborating with Khan Academy to provide free health and medicine content to anyone, anywhere.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Stanford is collaborating with Khan Academy to provide free health and medicine content to anyone, anywhere.", "x_pos": 0.0, "node_slug": "stanford-medicine", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T23:25:16Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbb5b204c", "topic_page_url": "/partner-content/stanford-medicine", "extended_slug": "partner-content/stanford-medicine", "slug": "stanford-medicine", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8440b83330e141d3c1bc5bd56d4bbf24b1e96d36", "standalone_title": "Stanford School of Medicine", "y_pos": 0.0, "current_revision_key": "8440b83330e141d3c1bc5bd56d4bbf24b1e96d36", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1", "translated_standalone_title": "Crash Course", "translated_title": "Crash Course", "gplus_url": "", "id": "x0540a26a", "old_key_name": null, "hide": false, "title": "Crash Course", "child_data": [{"kind": "Topic", "id": "x9ecc266b"}, {"kind": "Topic", "id": "x0e3146b7"}, {"kind": "Topic", "id": "xfacef9fb"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history", "translated_standalone_title": "Crash Course World History", "translated_title": "Crash Course World History", "gplus_url": "", "id": "x9ecc266b", "old_key_name": null, "hide": false, "title": "Crash Course World History", "child_data": [{"kind": "Topic", "id": "x8c455f58"}, {"kind": "Topic", "id": "xfad8ab57"}, {"kind": "Topic", "id": "x68d22341"}, {"kind": "Topic", "id": "x07c88f92"}, {"kind": "Topic", "id": "xc1020c1a"}, {"kind": "Topic", "id": "xe0122a4b"}, {"kind": "Topic", "id": "x1d590974"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/what-happens-when-you-stay-put", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/what-happens-when-you-stay-put", "translated_standalone_title": "What happens when you stay put", "translated_title": "What happens when you stay put (the Neolithic revolution & early River Valley civilizations)", "gplus_url": "", "id": "x8c455f58", "old_key_name": null, "hide": false, "title": "What happens when you stay put (the Neolithic revolution & early River Valley civilizations)", "child_data": [{"kind": "Video", "id": "x4afbbfe3"}, {"kind": "Video", "id": "x854a17b9"}, {"kind": "Video", "id": "x3ee659df"}, {"kind": "Video", "id": "x707b2692"}], "children": [{"translated_youtube_id": "Z_P5rqxeBVA", "relative_url": "/video/crash-course-world-history-01", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-01", "duration": 639, "translated_title": "The Agricultural Revolution", "translated_description_html": "

In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.<\/p>\n", "id": "x4afbbfe3", "description_html": "

In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.<\/p>\n", "title": "The Agricultural Revolution", "progress_key": "vx4afbbfe3", "edit_slug": "edit/v/x4afbbfe3", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-01", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_P5rqxeBVA.mp4/Z_P5rqxeBVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_P5rqxeBVA.mp4/Z_P5rqxeBVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z_P5rqxeBVA.m3u8/Z_P5rqxeBVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Z_P5rqxeBVA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4afbbfe3", "sha": "5b6e346329ca0d582b0033171ee0d15bc7c6a953", "translated_description": "In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.\n", "image_url": "https://img.youtube.com/vi/Z_P5rqxeBVA/hqdefault.jpg", "youtube_id": "Z_P5rqxeBVA", "content_kind": "Video", "readable_id": "crash-course-world-history-01"}, {"translated_youtube_id": "73yFDlgqPio", "relative_url": "/video/crash-course-world-history-02", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-02", "duration": 530, "translated_title": "Indus Valley civilization", "translated_description_html": "

In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.<\/p>\n", "id": "x854a17b9", "description_html": "

In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.<\/p>\n", "title": "Indus Valley civilization", "progress_key": "vx854a17b9", "edit_slug": "edit/v/x854a17b9", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-02", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T04:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/73yFDlgqPio.mp4/73yFDlgqPio.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/73yFDlgqPio.mp4/73yFDlgqPio.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/73yFDlgqPio.m3u8/73yFDlgqPio.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=73yFDlgqPio&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx854a17b9", "sha": "5b0e6fb58fe59bf304c6b85e5943d9ac9c0729c4", "translated_description": "In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.\n", "image_url": "https://img.youtube.com/vi/73yFDlgqPio/hqdefault.jpg", "youtube_id": "73yFDlgqPio", "content_kind": "Video", "readable_id": "crash-course-world-history-02"}, {"translated_youtube_id": "EUGCai8y2Uw", "relative_url": "/video/crash-course-world-history-03", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-03", "duration": 684, "translated_title": "Ancient Mesopotamia", "translated_description_html": "

In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world's first law code, and the great failed romance of John's undergrad years.<\/p>\n", "id": "x3ee659df", "description_html": "

In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world's first law code, and the great failed romance of John's undergrad years.<\/p>\n", "title": "Ancient Mesopotamia", "progress_key": "vx3ee659df", "edit_slug": "edit/v/x3ee659df", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world's first law code, and the great failed romance of John's undergrad years.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-03", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EUGCai8y2Uw.mp4/EUGCai8y2Uw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EUGCai8y2Uw.mp4/EUGCai8y2Uw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EUGCai8y2Uw.m3u8/EUGCai8y2Uw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EUGCai8y2Uw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3ee659df", "sha": "667ca724c77226d4b4d9e7202043b613e12b131e", "translated_description": "In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world's first law code, and the great failed romance of John's undergrad years.\n", "image_url": "https://img.youtube.com/vi/EUGCai8y2Uw/hqdefault.jpg", "youtube_id": "EUGCai8y2Uw", "content_kind": "Video", "readable_id": "crash-course-world-history-03"}, {"translated_youtube_id": "Hpfs8uEo9WA", "relative_url": "/video/crash-course-world-history-04", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-04", "duration": 673, "translated_title": "Ancient Egypt", "translated_description_html": "

In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. <\/span><\/font><\/p>\n", "id": "x707b2692", "description_html": "

In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. <\/span><\/font><\/p>\n", "title": "Ancient Egypt", "progress_key": "vx707b2692", "edit_slug": "edit/v/x707b2692", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-04", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hpfs8uEo9WA.mp4/Hpfs8uEo9WA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hpfs8uEo9WA.mp4/Hpfs8uEo9WA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hpfs8uEo9WA.m3u8/Hpfs8uEo9WA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hpfs8uEo9WA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx707b2692", "sha": "e06d560816695ec251669d62d68fdab656ce28ff", "translated_description": "In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. \n", "image_url": "https://img.youtube.com/vi/Hpfs8uEo9WA/hqdefault.jpg", "youtube_id": "Hpfs8uEo9WA", "content_kind": "Video", "readable_id": "crash-course-world-history-04"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "what-happens-when-you-stay-put", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8c455f58", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/what-happens-when-you-stay-put", "extended_slug": "partner-content/crash-course1/crash-course-world-history/what-happens-when-you-stay-put", "slug": "what-happens-when-you-stay-put", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5eef16a9f321fa50d6bb3ac823f1ce01d9541c59", "standalone_title": "What happens when you stay put", "y_pos": 0.0, "current_revision_key": "5eef16a9f321fa50d6bb3ac823f1ce01d9541c59", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/so-thats-where-that-comes-from", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/so-thats-where-that-comes-from", "translated_standalone_title": "So that’s where that comes from!", "translated_title": "Oh, so that’s where that comes from! (the ancient Greeks, Persians, Indians, Chinese & the trade between them. Oh, and also the Romans)", "gplus_url": "", "id": "xfad8ab57", "old_key_name": null, "hide": false, "title": "Oh, so that’s where that comes from! (the ancient Greeks, Persians, Indians, Chinese & the trade between them. Oh, and also the Romans)", "child_data": [{"kind": "Video", "id": "x43c3ee35"}, {"kind": "Video", "id": "x064507fe"}, {"kind": "Video", "id": "x2c4b94d4"}, {"kind": "Video", "id": "xbb84cd01"}, {"kind": "Video", "id": "xbc4b5b4c"}, {"kind": "Video", "id": "x2dea5317"}], "children": [{"translated_youtube_id": "7HUYGoJ2bD0", "relative_url": "/video/crash-course-world-history-05", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-05", "duration": 676, "translated_title": "Greeks and Persians", "translated_description_html": "

In which John compares and contrasts Greek civilization and the Persian Empire. Of course we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.<\/p>\n", "id": "x43c3ee35", "description_html": "

In which John compares and contrasts Greek civilization and the Persian Empire. Of course we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.<\/p>\n", "title": "Greeks and Persians", "progress_key": "vx43c3ee35", "edit_slug": "edit/v/x43c3ee35", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John compares and contrasts Greek civilization and the Persian Empire. Of course we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-05", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7HUYGoJ2bD0.mp4/7HUYGoJ2bD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7HUYGoJ2bD0.mp4/7HUYGoJ2bD0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7HUYGoJ2bD0.m3u8/7HUYGoJ2bD0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7HUYGoJ2bD0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx43c3ee35", "sha": "a5592b0ce44a31b35b98c9cb8791b8c1751534cb", "translated_description": "In which John compares and contrasts Greek civilization and the Persian Empire. Of course we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.\n", "image_url": "https://img.youtube.com/vi/7HUYGoJ2bD0/hqdefault.jpg", "youtube_id": "7HUYGoJ2bD0", "content_kind": "Video", "readable_id": "crash-course-world-history-05"}, {"translated_youtube_id": "OZbM1h3S-aA", "relative_url": "/video/crash-course-world-history-06", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-06", "duration": 715, "translated_title": "Buddha and Ashoka", "translated_description_html": "

In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism's structural disapproval of violence, managed to win a bunch of battles.<\/p>\n", "id": "x064507fe", "description_html": "

In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism's structural disapproval of violence, managed to win a bunch of battles.<\/p>\n", "title": "Buddha and Ashoka", "progress_key": "vx064507fe", "edit_slug": "edit/v/x064507fe", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism's structural disapproval of violence, managed to win a bunch of battles.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-06", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OZbM1h3S-aA.mp4/OZbM1h3S-aA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OZbM1h3S-aA.mp4/OZbM1h3S-aA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OZbM1h3S-aA.m3u8/OZbM1h3S-aA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OZbM1h3S-aA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx064507fe", "sha": "e888ed83932fdfa29ee47d81bbf33a5838478063", "translated_description": "In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism's structural disapproval of violence, managed to win a bunch of battles.\n", "image_url": "https://img.youtube.com/vi/OZbM1h3S-aA/hqdefault.jpg", "youtube_id": "OZbM1h3S-aA", "content_kind": "Video", "readable_id": "crash-course-world-history-06"}, {"translated_youtube_id": "W74G5sNJMuA", "relative_url": "/video/crash-course-world-history-07", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-07", "duration": 706, "translated_title": "2000 Years of Chinese History! The Mandate of Heaven and Confucius", "translated_description_html": "

In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.<\/p>\n", "id": "x2c4b94d4", "description_html": "

In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.<\/p>\n", "title": "2000 Years of Chinese History! The Mandate of Heaven and Confucius", "progress_key": "vx2c4b94d4", "edit_slug": "edit/v/x2c4b94d4", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-07", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/W74G5sNJMuA.mp4/W74G5sNJMuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W74G5sNJMuA.mp4/W74G5sNJMuA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W74G5sNJMuA.m3u8/W74G5sNJMuA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=W74G5sNJMuA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2c4b94d4", "sha": "56c699e4fb976d236747ae9e9029a8e2ee677803", "translated_description": "In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.\n", "image_url": "https://img.youtube.com/vi/W74G5sNJMuA/hqdefault.jpg", "youtube_id": "W74G5sNJMuA", "content_kind": "Video", "readable_id": "crash-course-world-history-07"}, {"translated_youtube_id": "C89FHfWZyyA", "relative_url": "/video/crash-course-world-history-08", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-08", "duration": 641, "translated_title": "Alexander the Great and the situation... the Great?", "translated_description_html": "

In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they're great?<\/p>\n\n

Also discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great's death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.<\/p>\n", "id": "xbb84cd01", "description_html": "

In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they're great?<\/p>\n\n

Also discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great's death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.<\/p>\n", "title": "Alexander the Great and the situation... the Great?", "progress_key": "vxbb84cd01", "edit_slug": "edit/v/xbb84cd01", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they're great?\n\nAlso discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great's death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-08", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C89FHfWZyyA.mp4/C89FHfWZyyA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C89FHfWZyyA.mp4/C89FHfWZyyA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C89FHfWZyyA.m3u8/C89FHfWZyyA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C89FHfWZyyA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbb84cd01", "sha": "4d6d332c86f46ebac198a8f4946bf44a4129a648", "translated_description": "In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they're great?\n\nAlso discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great's death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.\n", "image_url": "https://img.youtube.com/vi/C89FHfWZyyA/hqdefault.jpg", "youtube_id": "C89FHfWZyyA", "content_kind": "Video", "readable_id": "crash-course-world-history-08"}, {"translated_youtube_id": "hiRGC4lS9k8", "relative_url": "/video/crash-course-world-history-09", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-09", "duration": 568, "translated_title": "The Silk Road and ancient trade", "translated_description_html": "

In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.<\/p>\n", "id": "xbc4b5b4c", "description_html": "

In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.<\/p>\n", "title": "The Silk Road and ancient trade", "progress_key": "vxbc4b5b4c", "edit_slug": "edit/v/xbc4b5b4c", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-09", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hiRGC4lS9k8.mp4/hiRGC4lS9k8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hiRGC4lS9k8.mp4/hiRGC4lS9k8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hiRGC4lS9k8.m3u8/hiRGC4lS9k8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hiRGC4lS9k8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbc4b5b4c", "sha": "b68678aef784b192b89389e2cb3337cb00a6564c", "translated_description": "In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.\n", "image_url": "https://img.youtube.com/vi/hiRGC4lS9k8/hqdefault.jpg", "youtube_id": "hiRGC4lS9k8", "content_kind": "Video", "readable_id": "crash-course-world-history-09"}, {"translated_youtube_id": "eOp-GTRP-to", "relative_url": "/video/crash-course-world-history-10", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-10", "duration": 699, "translated_title": "The Roman Empire. Or Republic. Or... which was it?", "translated_description_html": "

In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here's a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome's transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome's expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.<\/span><\/p>\n", "id": "x2dea5317", "description_html": "

In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here's a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome's transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome's expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.<\/span><\/p>\n", "title": "The Roman Empire. Or Republic. Or... which was it?", "progress_key": "vx2dea5317", "edit_slug": "edit/v/x2dea5317", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here's a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome's transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome's expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-02T04:38:38Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eOp-GTRP-to.mp4/eOp-GTRP-to.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eOp-GTRP-to.mp4/eOp-GTRP-to.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eOp-GTRP-to.m3u8/eOp-GTRP-to.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eOp-GTRP-to&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2dea5317", "sha": "47c72c045ea8bb1adf34e2c5c4dbb2f1ea941d34", "translated_description": "In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here's a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome's transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome's expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.\n", "image_url": "https://img.youtube.com/vi/eOp-GTRP-to/hqdefault.jpg", "youtube_id": "eOp-GTRP-to", "content_kind": "Video", "readable_id": "crash-course-world-history-10"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "so-thats-where-that-comes-from", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfad8ab57", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/so-thats-where-that-comes-from", "extended_slug": "partner-content/crash-course1/crash-course-world-history/so-thats-where-that-comes-from", "slug": "so-thats-where-that-comes-from", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "86979f69ef583c6f85b1a1f62630a85cac456708", "standalone_title": "So that’s where that comes from!", "y_pos": 0.0, "current_revision_key": "86979f69ef583c6f85b1a1f62630a85cac456708", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/what’s-God-got-to-do-with-It", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/what’s-God-got-to-do-with-It", "translated_standalone_title": "What’s God got to do with it?", "translated_title": "What’s God got to do with it? - a lot (Early Christianity, Byzantium, Islam, and Medieval Europe)", "gplus_url": "", "id": "x68d22341", "old_key_name": null, "hide": false, "title": "What’s God got to do with it? - a lot (Early Christianity, Byzantium, Islam, and Medieval Europe)", "child_data": [{"kind": "Video", "id": "x3cb8a81e"}, {"kind": "Video", "id": "xae001fdd"}, {"kind": "Video", "id": "xd75b261b"}, {"kind": "Video", "id": "x23754e27"}, {"kind": "Video", "id": "x95547179"}, {"kind": "Video", "id": "x074275a2"}], "children": [{"translated_youtube_id": "zfJqkiNXShI", "relative_url": "/video/crash-course-world-history-11", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-11", "duration": 667, "translated_title": "Christianity from Judaism to Constantine", "translated_description_html": "

In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let's keep the commentary civil.<\/p>\n", "id": "x3cb8a81e", "description_html": "

In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let's keep the commentary civil.<\/p>\n", "title": "Christianity from Judaism to Constantine", "progress_key": "vx3cb8a81e", "edit_slug": "edit/v/x3cb8a81e", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let's keep the commentary civil.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-11", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-02T04:38:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zfJqkiNXShI.mp4/zfJqkiNXShI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zfJqkiNXShI.mp4/zfJqkiNXShI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zfJqkiNXShI.m3u8/zfJqkiNXShI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zfJqkiNXShI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3cb8a81e", "sha": "0d64c7a802fd5424f5279614b1c0e00cb295ca3e", "translated_description": "In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let's keep the commentary civil.\n", "image_url": "https://img.youtube.com/vi/zfJqkiNXShI/hqdefault.jpg", "youtube_id": "zfJqkiNXShI", "content_kind": "Video", "readable_id": "crash-course-world-history-11"}, {"translated_youtube_id": "nLi5-KKcmY0", "relative_url": "/video/crash-course-world-history-12", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-12", "duration": 724, "translated_title": "Fall of Rome the Roman Empire... in the 15th Century", "translated_description_html": "

In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you'll learn about ancient sports riots and hipster barbarians, too.<\/p>\n", "id": "xae001fdd", "description_html": "

In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you'll learn about ancient sports riots and hipster barbarians, too.<\/p>\n", "title": "Fall of Rome the Roman Empire... in the 15th Century", "progress_key": "vxae001fdd", "edit_slug": "edit/v/xae001fdd", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you'll learn about ancient sports riots and hipster barbarians, too.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nLi5-KKcmY0.mp4/nLi5-KKcmY0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nLi5-KKcmY0.mp4/nLi5-KKcmY0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nLi5-KKcmY0.m3u8/nLi5-KKcmY0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nLi5-KKcmY0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxae001fdd", "sha": "2d9d014b9767236d8a1dd25d02c2fc1442b1e8a4", "translated_description": "In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you'll learn about ancient sports riots and hipster barbarians, too.\n", "image_url": "https://img.youtube.com/vi/nLi5-KKcmY0/hqdefault.jpg", "youtube_id": "nLi5-KKcmY0", "content_kind": "Video", "readable_id": "crash-course-world-history-12"}, {"translated_youtube_id": "3M8bwwafMxY", "relative_url": "/video/crash-course-world-history-13", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-13", "duration": 746, "translated_title": "Islam, the Quran, and the Five Pillars all without a flamewar", "translated_description_html": "

In which John Green teaches you the history of Islam, including the revelation of the Qu'ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn't). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year's Ramadan is going to be difficult for your Muslim friends. Let's try to keep the flame wars out of this reasoned discussion.<\/p>\n", "id": "xd75b261b", "description_html": "

In which John Green teaches you the history of Islam, including the revelation of the Qu'ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn't). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year's Ramadan is going to be difficult for your Muslim friends. Let's try to keep the flame wars out of this reasoned discussion.<\/p>\n", "title": "Islam, the Quran, and the Five Pillars all without a flamewar", "progress_key": "vxd75b261b", "edit_slug": "edit/v/xd75b261b", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you the history of Islam, including the revelation of the Qu'ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn't). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year's Ramadan is going to be difficult for your Muslim friends. Let's try to keep the flame wars out of this reasoned discussion.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-13", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3M8bwwafMxY.mp4/3M8bwwafMxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3M8bwwafMxY.mp4/3M8bwwafMxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3M8bwwafMxY.m3u8/3M8bwwafMxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3M8bwwafMxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd75b261b", "sha": "8b8064ba5d3a6df111ac3ebe3179ec61ee31df75", "translated_description": "In which John Green teaches you the history of Islam, including the revelation of the Qu'ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn't). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year's Ramadan is going to be difficult for your Muslim friends. Let's try to keep the flame wars out of this reasoned discussion.\n", "image_url": "https://img.youtube.com/vi/3M8bwwafMxY/hqdefault.jpg", "youtube_id": "3M8bwwafMxY", "content_kind": "Video", "readable_id": "crash-course-world-history-13"}, {"translated_youtube_id": "Qs0J-O0HCbA", "relative_url": "/video/crash-course-world-history-14", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-14", "duration": 653, "translated_title": "The Dark Ages...how dark were they, really?", "translated_description_html": "

John Green teaches you about the so-called Dark Ages, which it turns out weren't as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these "Dark Ages." Along the way, John will raise questions about the validity of Europe's status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.<\/p>\n", "id": "x23754e27", "description_html": "

John Green teaches you about the so-called Dark Ages, which it turns out weren't as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these "Dark Ages." Along the way, John will raise questions about the validity of Europe's status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.<\/p>\n", "title": "The Dark Ages...how dark were they, really?", "progress_key": "vx23754e27", "edit_slug": "edit/v/x23754e27", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "John Green teaches you about the so-called Dark Ages, which it turns out weren't as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these \"Dark Ages.\" Along the way, John will raise questions about the validity of Europe's status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-14", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qs0J-O0HCbA.mp4/Qs0J-O0HCbA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qs0J-O0HCbA.mp4/Qs0J-O0HCbA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qs0J-O0HCbA.m3u8/Qs0J-O0HCbA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Qs0J-O0HCbA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx23754e27", "sha": "eb0e131e2f32f209d3ccdca0a93e4c6d088fe0a5", "translated_description": "John Green teaches you about the so-called Dark Ages, which it turns out weren't as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these \"Dark Ages.\" Along the way, John will raise questions about the validity of Europe's status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.\n", "image_url": "https://img.youtube.com/vi/Qs0J-O0HCbA/hqdefault.jpg", "youtube_id": "Qs0J-O0HCbA", "content_kind": "Video", "readable_id": "crash-course-world-history-14"}, {"translated_youtube_id": "p13IEJ_V_U0", "relative_url": "/video/crash-course-world-history-15", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-15", "duration": 650, "translated_title": "The Crusades - Pilgrimage or Holy War?", "translated_description_html": "

In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn't quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn't cover the Children's Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey. <\/p>\n", "id": "x95547179", "description_html": "

In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn't quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn't cover the Children's Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey. <\/p>\n", "title": "The Crusades - Pilgrimage or Holy War?", "progress_key": "vx95547179", "edit_slug": "edit/v/x95547179", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn't quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn't cover the Children's Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-15", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/p13IEJ_V_U0.mp4/p13IEJ_V_U0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p13IEJ_V_U0.mp4/p13IEJ_V_U0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/p13IEJ_V_U0.m3u8/p13IEJ_V_U0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=p13IEJ_V_U0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx95547179", "sha": "eeebef69515bc9d5ad90486283453d21d03b964f", "translated_description": "In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn't quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn't cover the Children's Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey. \n", "image_url": "https://img.youtube.com/vi/p13IEJ_V_U0/hqdefault.jpg", "youtube_id": "p13IEJ_V_U0", "content_kind": "Video", "readable_id": "crash-course-world-history-15"}, {"translated_youtube_id": "Hz0neklvbX8", "relative_url": "/video/crash-course-world-history-16", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-16", "duration": 603, "translated_title": "Mansa Musa and Islam in Africa", "translated_description_html": "

In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.<\/span><\/p>\n", "id": "x074275a2", "description_html": "

In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.<\/span><\/p>\n", "title": "Mansa Musa and Islam in Africa", "progress_key": "vx074275a2", "edit_slug": "edit/v/x074275a2", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-16", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hz0neklvbX8.mp4/Hz0neklvbX8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hz0neklvbX8.mp4/Hz0neklvbX8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Hz0neklvbX8.m3u8/Hz0neklvbX8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Hz0neklvbX8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx074275a2", "sha": "82feb5f6ea9541b256a5bd89cd8daa1aa2990a9a", "translated_description": "In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.\n", "image_url": "https://img.youtube.com/vi/Hz0neklvbX8/hqdefault.jpg", "youtube_id": "Hz0neklvbX8", "content_kind": "Video", "readable_id": "crash-course-world-history-16"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "what’s-God-got-to-do-with-It", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax68d22341", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/what’s-God-got-to-do-with-It", "extended_slug": "partner-content/crash-course1/crash-course-world-history/what’s-God-got-to-do-with-It", "slug": "what’s-God-got-to-do-with-It", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ee2b4d6b685e592f64a8a491e477bd748d965639", "standalone_title": "What’s God got to do with it?", "y_pos": 0.0, "current_revision_key": "ee2b4d6b685e592f64a8a491e477bd748d965639", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/road-trip-conquest-trade", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/road-trip-conquest-trade", "translated_standalone_title": "Road trip! (conquest, trade, & more conquest)", "translated_title": "Road trip! (conquest, trade, & more conquest)", "gplus_url": "", "id": "x07c88f92", "old_key_name": null, "hide": false, "title": "Road trip! (conquest, trade, & more conquest)", "child_data": [{"kind": "Video", "id": "x731ddc65"}, {"kind": "Video", "id": "xb08b2f39"}, {"kind": "Video", "id": "xfbbf5021"}, {"kind": "Video", "id": "x704ec3c0"}, {"kind": "Video", "id": "x9d3c5e68"}], "children": [{"translated_youtube_id": "TiXusw8aPMk", "relative_url": "/video/crash-course-world-history-17", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-17", "duration": 645, "translated_title": "Wait for it... the Mongols!", "translated_description_html": "

In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.<\/p>\n", "id": "x731ddc65", "description_html": "

In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.<\/p>\n", "title": "Wait for it... the Mongols!", "progress_key": "vx731ddc65", "edit_slug": "edit/v/x731ddc65", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-17", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TiXusw8aPMk.mp4/TiXusw8aPMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TiXusw8aPMk.mp4/TiXusw8aPMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TiXusw8aPMk.m3u8/TiXusw8aPMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TiXusw8aPMk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx731ddc65", "sha": "75cd39f5f5e5af47a188ad90334e2d281b72bb54", "translated_description": "In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.\n", "image_url": "https://img.youtube.com/vi/TiXusw8aPMk/hqdefault.jpg", "youtube_id": "TiXusw8aPMk", "content_kind": "Video", "readable_id": "crash-course-world-history-17"}, {"translated_youtube_id": "KZibsVxUOrw", "relative_url": "/video/crash-course-world-history-18", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-18", "duration": 583, "translated_title": "International commerce, snorkeling camels, and the Indian Ocean Trade", "translated_description_html": "

In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there's even a disembowelment for you Fangoria fans.<\/p>\n", "id": "xb08b2f39", "description_html": "

In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there's even a disembowelment for you Fangoria fans.<\/p>\n", "title": "International commerce, snorkeling camels, and the Indian Ocean Trade", "progress_key": "vxb08b2f39", "edit_slug": "edit/v/xb08b2f39", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there's even a disembowelment for you Fangoria fans.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-18", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KZibsVxUOrw.mp4/KZibsVxUOrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KZibsVxUOrw.mp4/KZibsVxUOrw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KZibsVxUOrw.m3u8/KZibsVxUOrw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KZibsVxUOrw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb08b2f39", "sha": "642fa6b73d6839a9d1eff96adb3cf7ed33cc893d", "translated_description": "In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there's even a disembowelment for you Fangoria fans.\n", "image_url": "https://img.youtube.com/vi/KZibsVxUOrw/hqdefault.jpg", "youtube_id": "KZibsVxUOrw", "content_kind": "Video", "readable_id": "crash-course-world-history-18"}, {"translated_youtube_id": "5OEZTU8FdVA", "relative_url": "/video/crash-course-world-history-19", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-19", "duration": 585, "translated_title": "Venice and the Ottoman Empire", "translated_description_html": "

In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there's a They Might Be Giants<\/em> joke.<\/p>\n", "id": "xfbbf5021", "description_html": "

In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there's a They Might Be Giants<\/em> joke.<\/p>\n", "title": "Venice and the Ottoman Empire", "progress_key": "vxfbbf5021", "edit_slug": "edit/v/xfbbf5021", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there's a They Might Be Giants joke.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-19", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5OEZTU8FdVA.mp4/5OEZTU8FdVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5OEZTU8FdVA.mp4/5OEZTU8FdVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5OEZTU8FdVA.m3u8/5OEZTU8FdVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5OEZTU8FdVA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfbbf5021", "sha": "71667fb471be49a515c6db2d6e91c2876f042b67", "translated_description": "In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there's a They Might Be Giants joke.\n", "image_url": "https://img.youtube.com/vi/5OEZTU8FdVA/hqdefault.jpg", "youtube_id": "5OEZTU8FdVA", "content_kind": "Video", "readable_id": "crash-course-world-history-19"}, {"translated_youtube_id": "etmRI2_9Q_A", "relative_url": "/video/crash-course-world-history-20", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-20", "duration": 617, "translated_title": "Russia, the Kievan Rus, and the Mongols", "translated_description_html": "

In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!<\/p>", "id": "x704ec3c0", "description_html": "

In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!<\/p>", "title": "Russia, the Kievan Rus, and the Mongols", "progress_key": "vx704ec3c0", "edit_slug": "edit/v/x704ec3c0", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-20", "deleted": false, "backup_timestamp": "2013-09-14T13:25:08Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/etmRI2_9Q_A.mp4/etmRI2_9Q_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/etmRI2_9Q_A.mp4/etmRI2_9Q_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/etmRI2_9Q_A.m3u8/etmRI2_9Q_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=etmRI2_9Q_A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx704ec3c0", "sha": "77fd224859b515fe8608122e2a24e6d3ea9304ee", "translated_description": "In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!", "image_url": "https://img.youtube.com/vi/etmRI2_9Q_A/hqdefault.jpg", "youtube_id": "etmRI2_9Q_A", "content_kind": "Video", "readable_id": "crash-course-world-history-20"}, {"translated_youtube_id": "LSnZ0ZX60hI", "relative_url": "/video/crash-course-world-history-21", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-21", "duration": 605, "translated_title": "Columbus, de Gama, and Zheng He! 15th Century Mariners", "translated_description_html": "

In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who "discovered" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn't the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn't the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.<\/p>\n", "id": "x9d3c5e68", "description_html": "

In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who "discovered" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn't the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn't the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.<\/p>\n", "title": "Columbus, de Gama, and Zheng He! 15th Century Mariners", "progress_key": "vx9d3c5e68", "edit_slug": "edit/v/x9d3c5e68", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who \"discovered\" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn't the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn't the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-21", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LSnZ0ZX60hI.mp4/LSnZ0ZX60hI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LSnZ0ZX60hI.mp4/LSnZ0ZX60hI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LSnZ0ZX60hI.m3u8/LSnZ0ZX60hI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LSnZ0ZX60hI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9d3c5e68", "sha": "d8bac08924beb12d96e97f4f2f4ce01238e693f7", "translated_description": "In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who \"discovered\" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn't the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn't the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.\n", "image_url": "https://img.youtube.com/vi/LSnZ0ZX60hI/hqdefault.jpg", "youtube_id": "LSnZ0ZX60hI", "content_kind": "Video", "readable_id": "crash-course-world-history-21"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "road-trip-conquest-trade", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax07c88f92", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/road-trip-conquest-trade", "extended_slug": "partner-content/crash-course1/crash-course-world-history/road-trip-conquest-trade", "slug": "road-trip-conquest-trade", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "44b846310f5a474b470109114fc5a3ceedb319a5", "standalone_title": "Road trip! (conquest, trade, & more conquest)", "y_pos": 0.0, "current_revision_key": "44b846310f5a474b470109114fc5a3ceedb319a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/when-people-do-great-and-really-terrible-things", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/when-people-do-great-and-really-terrible-things", "translated_standalone_title": "When people do great and really terrible things", "translated_title": "When people do great and really terrible things (The Renaissance, Colonialism, & the Slave Trade)", "gplus_url": "", "id": "xc1020c1a", "old_key_name": null, "hide": false, "title": "When people do great and really terrible things (The Renaissance, Colonialism, & the Slave Trade)", "child_data": [{"kind": "Video", "id": "x2251ad33"}, {"kind": "Video", "id": "x9408a114"}, {"kind": "Video", "id": "x9d165ed6"}, {"kind": "Video", "id": "x83be2b67"}, {"kind": "Video", "id": "xdd1ddd1b"}, {"kind": "Video", "id": "x3fe2c121"}], "children": [{"translated_youtube_id": "VMtXfhvQRTo", "relative_url": "/video/crash-course-world-history-22", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-22", "duration": 662, "translated_title": "The Renaissance: Was it a Thing?", "translated_description_html": "

In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We'd argue that any cultural shift that occurs over a couple of hundred years isn't too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.<\/p>\n", "id": "x2251ad33", "description_html": "

In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We'd argue that any cultural shift that occurs over a couple of hundred years isn't too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.<\/p>\n", "title": "The Renaissance: Was it a Thing?", "progress_key": "vx2251ad33", "edit_slug": "edit/v/x2251ad33", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We'd argue that any cultural shift that occurs over a couple of hundred years isn't too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-22", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VMtXfhvQRTo.mp4/VMtXfhvQRTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VMtXfhvQRTo.mp4/VMtXfhvQRTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VMtXfhvQRTo.m3u8/VMtXfhvQRTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VMtXfhvQRTo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2251ad33", "sha": "3a04eadc5f737649d610cfd705f3bd16bca3f01b", "translated_description": "In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We'd argue that any cultural shift that occurs over a couple of hundred years isn't too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.\n", "image_url": "https://img.youtube.com/vi/VMtXfhvQRTo/hqdefault.jpg", "youtube_id": "VMtXfhvQRTo", "content_kind": "Video", "readable_id": "crash-course-world-history-22"}, {"translated_youtube_id": "a4nfbZYZ3SI", "relative_url": "/video/crash-course-world-history-23", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-23", "duration": 704, "translated_title": "The Columbian Exchange", "translated_description_html": "

In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book "The Columbian Exchange" by Alfred Cosby, Jr. After Columbus "discovered" the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It's debatable. So debate.<\/p>\n", "id": "x9408a114", "description_html": "

In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book "The Columbian Exchange" by Alfred Cosby, Jr. After Columbus "discovered" the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It's debatable. So debate.<\/p>\n", "title": "The Columbian Exchange", "progress_key": "vx9408a114", "edit_slug": "edit/v/x9408a114", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book \"The Columbian Exchange\" by Alfred Cosby, Jr. After Columbus \"discovered\" the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It's debatable. So debate.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-23", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a4nfbZYZ3SI.mp4/a4nfbZYZ3SI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a4nfbZYZ3SI.mp4/a4nfbZYZ3SI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a4nfbZYZ3SI.m3u8/a4nfbZYZ3SI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a4nfbZYZ3SI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9408a114", "sha": "3814980bedabc5f02d26c04c3685f9ff8c2a98ad", "translated_description": "In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book \"The Columbian Exchange\" by Alfred Cosby, Jr. After Columbus \"discovered\" the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It's debatable. So debate.\n", "image_url": "https://img.youtube.com/vi/a4nfbZYZ3SI/hqdefault.jpg", "youtube_id": "a4nfbZYZ3SI", "content_kind": "Video", "readable_id": "crash-course-world-history-23"}, {"translated_youtube_id": "3X5JMS9_EK8", "relative_url": "/video/crash-course-world-history-24", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-24", "duration": 642, "translated_title": "The Atlantic Slave Trade", "translated_description_html": "

In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color. <\/span><\/p>\n\n

Slavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.<\/p>\n", "id": "x9d165ed6", "description_html": "

In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color. <\/span><\/p>\n\n

Slavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.<\/p>\n", "title": "The Atlantic Slave Trade", "progress_key": "vx9d165ed6", "edit_slug": "edit/v/x9d165ed6", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color. \n\nSlavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-24", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3X5JMS9_EK8.mp4/3X5JMS9_EK8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3X5JMS9_EK8.mp4/3X5JMS9_EK8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3X5JMS9_EK8.m3u8/3X5JMS9_EK8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3X5JMS9_EK8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9d165ed6", "sha": "12157333697a8d8a1e0e58bb5adde52bef30c3e9", "translated_description": "In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color. \n\nSlavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.\n", "image_url": "https://img.youtube.com/vi/3X5JMS9_EK8/hqdefault.jpg", "youtube_id": "3X5JMS9_EK8", "content_kind": "Video", "readable_id": "crash-course-world-history-24"}, {"translated_youtube_id": "ybOKAzIVp70", "relative_url": "/video/crash-course-world-history-25", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-25", "duration": 610, "translated_title": "The Spanish Empire, silver, & runaway inflation", "translated_description_html": "

In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hernán Cortés, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.<\/p>\n", "id": "x83be2b67", "description_html": "

In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hernán Cortés, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.<\/p>\n", "title": "The Spanish Empire, silver, & runaway inflation", "progress_key": "vx83be2b67", "edit_slug": "edit/v/x83be2b67", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hernán Cortés, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-25", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ybOKAzIVp70.mp4/ybOKAzIVp70.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ybOKAzIVp70.mp4/ybOKAzIVp70.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ybOKAzIVp70.m3u8/ybOKAzIVp70.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ybOKAzIVp70&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx83be2b67", "sha": "f56496322ff2018e33e795d5487f5f6318810262", "translated_description": "In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hernán Cortés, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.\n", "image_url": "https://img.youtube.com/vi/ybOKAzIVp70/hqdefault.jpg", "youtube_id": "ybOKAzIVp70", "content_kind": "Video", "readable_id": "crash-course-world-history-25"}, {"translated_youtube_id": "ICI0gpCS_Pc", "relative_url": "/video/crash-course-world-history-26", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-26", "duration": 696, "translated_title": "The Seven Years War", "translated_description_html": "

In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the "great" European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution. <\/p>\n", "id": "xdd1ddd1b", "description_html": "

In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the "great" European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution. <\/p>\n", "title": "The Seven Years War", "progress_key": "vxdd1ddd1b", "edit_slug": "edit/v/xdd1ddd1b", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the \"great\" European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-26", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ICI0gpCS_Pc.mp4/ICI0gpCS_Pc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ICI0gpCS_Pc.mp4/ICI0gpCS_Pc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ICI0gpCS_Pc.m3u8/ICI0gpCS_Pc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ICI0gpCS_Pc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdd1ddd1b", "sha": "8bbdc4f863ed0ee5d66eabc67bb4e29bab86fcea", "translated_description": "In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the \"great\" European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution. \n", "image_url": "https://img.youtube.com/vi/ICI0gpCS_Pc/hqdefault.jpg", "youtube_id": "ICI0gpCS_Pc", "content_kind": "Video", "readable_id": "crash-course-world-history-26"}, {"translated_youtube_id": "3281cSAuk2g", "relative_url": "/video/crash-course-world-history-027", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-027", "duration": 603, "translated_title": "The amazing life and strange death of Captain Cook", "translated_description_html": "

In which John Green teaches you about the life and death of one of history's great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don't want to miss it.
<\/p>", "id": "x3fe2c121", "description_html": "

In which John Green teaches you about the life and death of one of history's great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don't want to miss it.
<\/p>", "title": "The amazing life and strange death of Captain Cook", "progress_key": "vx3fe2c121", "edit_slug": "edit/v/x3fe2c121", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "In which John Green teaches you about the life and death of one of history's great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don't want to miss it.", "extra_properties": {}, "node_slug": "v/crash-course-world-history-027", "deleted": false, "backup_timestamp": "2013-11-21T17:14:40Z", "date_added": "2013-11-21T17:14:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3281cSAuk2g.mp4/3281cSAuk2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3281cSAuk2g.mp4/3281cSAuk2g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3281cSAuk2g.m3u8/3281cSAuk2g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3281cSAuk2g&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3fe2c121", "sha": "76fa9ad8e8f39ee00a51e3346055f973f994767d", "translated_description": "In which John Green teaches you about the life and death of one of history's great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don't want to miss it.", "image_url": "https://img.youtube.com/vi/3281cSAuk2g/hqdefault.jpg", "youtube_id": "3281cSAuk2g", "content_kind": "Video", "readable_id": "crash-course-world-history-027"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "when-people-do-great-and-really-terrible-things", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1020c1a", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/when-people-do-great-and-really-terrible-things", "extended_slug": "partner-content/crash-course1/crash-course-world-history/when-people-do-great-and-really-terrible-things", "slug": "when-people-do-great-and-really-terrible-things", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5bb95650769d946a55706c8dd7a33727440bb3d6", "standalone_title": "When people do great and really terrible things", "y_pos": 0.0, "current_revision_key": "5bb95650769d946a55706c8dd7a33727440bb3d6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/you-ain’t-the-boss-of-me", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/you-ain’t-the-boss-of-me", "translated_standalone_title": "You ain’t the boss of me!", "translated_title": "You ain’t the boss of me! Oh, maybe you are (Revolution and Modern Society)", "gplus_url": "", "id": "xe0122a4b", "old_key_name": null, "hide": false, "title": "You ain’t the boss of me! Oh, maybe you are (Revolution and Modern Society)", "child_data": [{"kind": "Video", "id": "x0266d343"}, {"kind": "Video", "id": "xe95d87b8"}, {"kind": "Video", "id": "x9da82478"}, {"kind": "Video", "id": "xc6077777"}, {"kind": "Video", "id": "xca10f1d5"}, {"kind": "Video", "id": "x57d39ed9"}], "children": [{"translated_youtube_id": "dkxnUlg-bUY", "relative_url": "/video/crash-course-world-history-28", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-28", "duration": 659, "translated_title": "Tea, Taxes, and the American Revolution", "translated_description_html": "

In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain's American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren't equally distributed. Also, you'll learn about America's love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.<\/p>\n", "id": "x0266d343", "description_html": "

In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain's American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren't equally distributed. Also, you'll learn about America's love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.<\/p>\n", "title": "Tea, Taxes, and the American Revolution", "progress_key": "vx0266d343", "edit_slug": "edit/v/x0266d343", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain's American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren't equally distributed. Also, you'll learn about America's love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-28", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dkxnUlg-bUY.mp4/dkxnUlg-bUY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dkxnUlg-bUY.mp4/dkxnUlg-bUY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dkxnUlg-bUY.m3u8/dkxnUlg-bUY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dkxnUlg-bUY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0266d343", "sha": "680dc00b6d33fed1764bb08d4fc6e7bfee5e18b5", "translated_description": "In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain's American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren't equally distributed. Also, you'll learn about America's love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.\n", "image_url": "https://img.youtube.com/vi/dkxnUlg-bUY/hqdefault.jpg", "youtube_id": "dkxnUlg-bUY", "content_kind": "Video", "readable_id": "crash-course-world-history-28"}, {"translated_youtube_id": "_Vxg6bsNgYU", "relative_url": "/video/crash-course-world-history-29", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-29", "duration": 683, "translated_title": "The French Revolution", "translated_description_html": "

In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, "Let them eat cake." Sorry.<\/p>\n", "id": "xe95d87b8", "description_html": "

In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, "Let them eat cake." Sorry.<\/p>\n", "title": "The French Revolution", "progress_key": "vxe95d87b8", "edit_slug": "edit/v/xe95d87b8", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, \"Let them eat cake.\" Sorry.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-29", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_Vxg6bsNgYU.mp4/_Vxg6bsNgYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_Vxg6bsNgYU.mp4/_Vxg6bsNgYU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_Vxg6bsNgYU.m3u8/_Vxg6bsNgYU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_Vxg6bsNgYU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe95d87b8", "sha": "406cbb405efd3bcd53c44da47ebd8c08e6aa572c", "translated_description": "In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, \"Let them eat cake.\" Sorry.\n", "image_url": "https://img.youtube.com/vi/_Vxg6bsNgYU/hqdefault.jpg", "youtube_id": "_Vxg6bsNgYU", "content_kind": "Video", "readable_id": "crash-course-world-history-29"}, {"translated_youtube_id": "YYGb1Fmz6TY", "relative_url": "/video/crash-course-world-history-30", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-30", "duration": 716, "translated_title": "The Haitian Revolutions", "translated_description_html": "

Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France's most profitable colony. Slaves made up nearly 90% of Saint-Domingue's population, and in 1789 they couldn't help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world's great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.<\/p>\n", "id": "x9da82478", "description_html": "

Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France's most profitable colony. Slaves made up nearly 90% of Saint-Domingue's population, and in 1789 they couldn't help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world's great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.<\/p>\n", "title": "The Haitian Revolutions", "progress_key": "vx9da82478", "edit_slug": "edit/v/x9da82478", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France's most profitable colony. Slaves made up nearly 90% of Saint-Domingue's population, and in 1789 they couldn't help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world's great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-30", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YYGb1Fmz6TY.mp4/YYGb1Fmz6TY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YYGb1Fmz6TY.mp4/YYGb1Fmz6TY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YYGb1Fmz6TY.m3u8/YYGb1Fmz6TY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YYGb1Fmz6TY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx9da82478", "sha": "70c5aa979319ced3bdddf113ed074786dc1704b9", "translated_description": "Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France's most profitable colony. Slaves made up nearly 90% of Saint-Domingue's population, and in 1789 they couldn't help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world's great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.\n", "image_url": "https://img.youtube.com/vi/YYGb1Fmz6TY/hqdefault.jpg", "youtube_id": "YYGb1Fmz6TY", "content_kind": "Video", "readable_id": "crash-course-world-history-30"}, {"translated_youtube_id": "kjAjlkzkvBU", "relative_url": "/video/crash-course-world-history-31", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-31", "duration": 770, "translated_title": "Latin American Revolutions", "translated_description_html": "

In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI's head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King João ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Simón Bolívar's dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.<\/p>\n", "id": "xc6077777", "description_html": "

In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI's head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King João ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Simón Bolívar's dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.<\/p>\n", "title": "Latin American Revolutions", "progress_key": "vxc6077777", "edit_slug": "edit/v/xc6077777", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI's head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King João ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Simón Bolívar's dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-31", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kjAjlkzkvBU.mp4/kjAjlkzkvBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kjAjlkzkvBU.mp4/kjAjlkzkvBU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kjAjlkzkvBU.m3u8/kjAjlkzkvBU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kjAjlkzkvBU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc6077777", "sha": "0353df2a1656c1e265ea3b6a647e7ce41aa94656", "translated_description": "In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI's head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King João ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Simón Bolívar's dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.\n", "image_url": "https://img.youtube.com/vi/kjAjlkzkvBU/hqdefault.jpg", "youtube_id": "kjAjlkzkvBU", "content_kind": "Video", "readable_id": "crash-course-world-history-31"}, {"translated_youtube_id": "tEHF3JB2ZqE", "relative_url": "/video/crash-course-world-history-32", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-32", "duration": 636, "translated_title": "Coal, steam, and the Industrial Revolution", "translated_description_html": "

In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we've discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you'll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.<\/p>\n", "id": "xca10f1d5", "description_html": "

In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we've discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you'll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.<\/p>\n", "title": "Coal, steam, and the Industrial Revolution", "progress_key": "vxca10f1d5", "edit_slug": "edit/v/xca10f1d5", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we've discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you'll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-32", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tEHF3JB2ZqE.mp4/tEHF3JB2ZqE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tEHF3JB2ZqE.mp4/tEHF3JB2ZqE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tEHF3JB2ZqE.m3u8/tEHF3JB2ZqE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tEHF3JB2ZqE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxca10f1d5", "sha": "18fe50026e45322612b4bfd65b65b8779e9fc243", "translated_description": "In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we've discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you'll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.\n", "image_url": "https://img.youtube.com/vi/tEHF3JB2ZqE/hqdefault.jpg", "youtube_id": "tEHF3JB2ZqE", "content_kind": "Video", "readable_id": "crash-course-world-history-32"}, {"translated_youtube_id": "Uu-5ofhxOX8", "relative_url": "/video/crash-course-world-history-33", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-33", "duration": 801, "translated_title": "Capitalism and Socialism", "translated_description_html": "

In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they've been implemented or ignored in various socialist states. Plus, there are robots!<\/p>\n", "id": "x57d39ed9", "description_html": "

In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they've been implemented or ignored in various socialist states. Plus, there are robots!<\/p>\n", "title": "Capitalism and Socialism", "progress_key": "vx57d39ed9", "edit_slug": "edit/v/x57d39ed9", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they've been implemented or ignored in various socialist states. Plus, there are robots!\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-33", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uu-5ofhxOX8.mp4/Uu-5ofhxOX8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uu-5ofhxOX8.mp4/Uu-5ofhxOX8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Uu-5ofhxOX8.m3u8/Uu-5ofhxOX8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Uu-5ofhxOX8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx57d39ed9", "sha": "974ed76468288c35a3a28293dbd6281c4d293276", "translated_description": "In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they've been implemented or ignored in various socialist states. Plus, there are robots!\n", "image_url": "https://img.youtube.com/vi/Uu-5ofhxOX8/hqdefault.jpg", "youtube_id": "Uu-5ofhxOX8", "content_kind": "Video", "readable_id": "crash-course-world-history-33"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "you-ain’t-the-boss-of-me", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0122a4b", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/you-ain’t-the-boss-of-me", "extended_slug": "partner-content/crash-course1/crash-course-world-history/you-ain’t-the-boss-of-me", "slug": "you-ain’t-the-boss-of-me", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c465aa5b5f35d7e4a442a807fd5fa25161db3e03", "standalone_title": "You ain’t the boss of me!", "y_pos": 0.0, "current_revision_key": "c465aa5b5f35d7e4a442a807fd5fa25161db3e03", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-world-history/nationalism-imperialism-globalization", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-world-history/nationalism-imperialism-globalization", "translated_standalone_title": "Nationalism, Imperialism & Globalization", "translated_title": "Nationalism, Imperialism & Globalization: the good, the bad and the really, really ugly", "gplus_url": "", "id": "x1d590974", "old_key_name": null, "hide": false, "title": "Nationalism, Imperialism & Globalization: the good, the bad and the really, really ugly", "child_data": [{"kind": "Video", "id": "x4b9386c0"}, {"kind": "Video", "id": "x93355517"}, {"kind": "Video", "id": "x960b648c"}, {"kind": "Video", "id": "xd9e4a8f3"}, {"kind": "Video", "id": "xc7a3fc40"}, {"kind": "Video", "id": "x109df4d2"}, {"kind": "Video", "id": "xb88a2eb5"}, {"kind": "Video", "id": "x1d6a85cc"}, {"kind": "Video", "id": "x27dc9e1e"}], "children": [{"translated_youtube_id": "hk_21n8ITqg", "relative_url": "/video/crash-course-world-history-34", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-34", "duration": 685, "translated_title": "Samurai, Daimyo, Matthew Perry, and Nationalism", "translated_description_html": "

In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.<\/p>\n", "id": "x4b9386c0", "description_html": "

In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.<\/p>\n", "title": "Samurai, Daimyo, Matthew Perry, and Nationalism", "progress_key": "vx4b9386c0", "edit_slug": "edit/v/x4b9386c0", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-34", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hk_21n8ITqg.mp4/hk_21n8ITqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hk_21n8ITqg.mp4/hk_21n8ITqg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hk_21n8ITqg.m3u8/hk_21n8ITqg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hk_21n8ITqg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx4b9386c0", "sha": "666a937205ddafb72b70cc2a2b4876c4fc6db66b", "translated_description": "In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.\n", "image_url": "https://img.youtube.com/vi/hk_21n8ITqg/hqdefault.jpg", "youtube_id": "hk_21n8ITqg", "content_kind": "Video", "readable_id": "crash-course-world-history-34"}, {"translated_youtube_id": "cFbMqzDSVVg", "relative_url": "/video/crash-course-world-history-35", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-35", "duration": 781, "translated_title": "Imperialism", "translated_description_html": "

In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the "sun never set on the British Empire." Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called "primitive" nations was very helpful in the whole enterprise. <\/p>\n", "id": "x93355517", "description_html": "

In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the "sun never set on the British Empire." Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called "primitive" nations was very helpful in the whole enterprise. <\/p>\n", "title": "Imperialism", "progress_key": "vx93355517", "edit_slug": "edit/v/x93355517", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the \"sun never set on the British Empire.\" Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called \"primitive\" nations was very helpful in the whole enterprise. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-35", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cFbMqzDSVVg.mp4/cFbMqzDSVVg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cFbMqzDSVVg.mp4/cFbMqzDSVVg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cFbMqzDSVVg.m3u8/cFbMqzDSVVg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cFbMqzDSVVg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx93355517", "sha": "3f1b2e9aae248194696b823f8605f6e375a9b769", "translated_description": "In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the \"sun never set on the British Empire.\" Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called \"primitive\" nations was very helpful in the whole enterprise. \n", "image_url": "https://img.youtube.com/vi/cFbMqzDSVVg/hqdefault.jpg", "youtube_id": "cFbMqzDSVVg", "content_kind": "Video", "readable_id": "crash-course-world-history-35"}, {"translated_youtube_id": "ntUjJENYiLw", "relative_url": "/video/crash-course-world-history-36", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-36", "duration": 675, "translated_title": "Archdukes, Cynicism, and World War I", "translated_description_html": "

In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, "Over There."<\/p>\n", "id": "x960b648c", "description_html": "

In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, "Over There."<\/p>\n", "title": "Archdukes, Cynicism, and World War I", "progress_key": "vx960b648c", "edit_slug": "edit/v/x960b648c", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, \"Over There.\"\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-36", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ntUjJENYiLw.mp4/ntUjJENYiLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ntUjJENYiLw.mp4/ntUjJENYiLw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ntUjJENYiLw.m3u8/ntUjJENYiLw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ntUjJENYiLw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx960b648c", "sha": "01014a303439926f3924bf3a0c5185555338688b", "translated_description": "In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, \"Over There.\"\n", "image_url": "https://img.youtube.com/vi/ntUjJENYiLw/hqdefault.jpg", "youtube_id": "ntUjJENYiLw", "content_kind": "Video", "readable_id": "crash-course-world-history-36"}, {"translated_youtube_id": "a1AhZoWTLUI", "relative_url": "/video/crash-course-world-history-37", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-37", "duration": 697, "translated_title": "Communists, Nationalists, and China's Revolutions", "translated_description_html": "

In which John Green teaches you about China's Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China's 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People's Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week's Crash Course World History.<\/p>\n", "id": "xd9e4a8f3", "description_html": "

In which John Green teaches you about China's Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China's 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People's Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week's Crash Course World History.<\/p>\n", "title": "Communists, Nationalists, and China's Revolutions", "progress_key": "vxd9e4a8f3", "edit_slug": "edit/v/xd9e4a8f3", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about China's Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China's 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People's Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week's Crash Course World History.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-37", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a1AhZoWTLUI.mp4/a1AhZoWTLUI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a1AhZoWTLUI.mp4/a1AhZoWTLUI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a1AhZoWTLUI.m3u8/a1AhZoWTLUI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a1AhZoWTLUI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd9e4a8f3", "sha": "2a63d77c70107dc6e15a11c308c5a2af945fa007", "translated_description": "In which John Green teaches you about China's Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China's 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People's Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week's Crash Course World History.\n", "image_url": "https://img.youtube.com/vi/a1AhZoWTLUI/hqdefault.jpg", "youtube_id": "a1AhZoWTLUI", "content_kind": "Video", "readable_id": "crash-course-world-history-37"}, {"translated_youtube_id": "dllD-6loBK4", "relative_url": "/video/crash-course-world-history-38", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-38", "duration": 741, "translated_title": "World War II", "translated_description_html": "

In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We've all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.<\/span><\/span><\/p>\n", "id": "xc7a3fc40", "description_html": "

In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We've all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.<\/span><\/span><\/p>\n", "title": "World War II", "progress_key": "vxc7a3fc40", "edit_slug": "edit/v/xc7a3fc40", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We've all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-38", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dllD-6loBK4.mp4/dllD-6loBK4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dllD-6loBK4.mp4/dllD-6loBK4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dllD-6loBK4.m3u8/dllD-6loBK4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dllD-6loBK4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc7a3fc40", "sha": "5f37ea1687db4c8a466203cf2da0ca3036d509d8", "translated_description": "In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We've all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.\n", "image_url": "https://img.youtube.com/vi/dllD-6loBK4/hqdefault.jpg", "youtube_id": "dllD-6loBK4", "content_kind": "Video", "readable_id": "crash-course-world-history-38"}, {"translated_youtube_id": "2-oQA64myZQ", "relative_url": "/video/crash-course-world-history-39", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-39", "duration": 704, "translated_title": "USA vs USSR Fight! The Cold War", "translated_description_html": "

In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.<\/p>\n", "id": "x109df4d2", "description_html": "

In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.<\/p>\n", "title": "USA vs USSR Fight! The Cold War", "progress_key": "vx109df4d2", "edit_slug": "edit/v/x109df4d2", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-world-history-39", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2-oQA64myZQ.mp4/2-oQA64myZQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2-oQA64myZQ.mp4/2-oQA64myZQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2-oQA64myZQ.m3u8/2-oQA64myZQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2-oQA64myZQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx109df4d2", "sha": "366964c82d47da606c91a05018bb78b6fc2715c5", "translated_description": "In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.\n", "image_url": "https://img.youtube.com/vi/2-oQA64myZQ/hqdefault.jpg", "youtube_id": "2-oQA64myZQ", "content_kind": "Video", "readable_id": "crash-course-world-history-39"}, {"translated_youtube_id": "podbMDjFNAY", "relative_url": "/video/decolonization-world-history-40", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/decolonization-world-history-40", "duration": 738, "translated_title": "Decolonization and Nationalism Triumphant", "translated_description_html": "

In which John Green teaches you about the post-World War II breakup of most of the European empires. As you'll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn't go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don't look anything like those awesome commercials in the comic books.<\/p>\n", "id": "xb88a2eb5", "description_html": "

In which John Green teaches you about the post-World War II breakup of most of the European empires. As you'll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn't go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don't look anything like those awesome commercials in the comic books.<\/p>\n", "title": "Decolonization and Nationalism Triumphant", "progress_key": "vxb88a2eb5", "edit_slug": "edit/v/xb88a2eb5", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about the post-World War II breakup of most of the European empires. As you'll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn't go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don't look anything like those awesome commercials in the comic books.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/decolonization-world-history-40", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/podbMDjFNAY.mp4/podbMDjFNAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/podbMDjFNAY.mp4/podbMDjFNAY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/podbMDjFNAY.m3u8/podbMDjFNAY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=podbMDjFNAY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb88a2eb5", "sha": "d309e57d206a90d3d54dba43ef086fc4cf38c808", "translated_description": "In which John Green teaches you about the post-World War II breakup of most of the European empires. As you'll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn't go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don't look anything like those awesome commercials in the comic books.\n", "image_url": "https://img.youtube.com/vi/podbMDjFNAY/hqdefault.jpg", "youtube_id": "podbMDjFNAY", "content_kind": "Video", "readable_id": "decolonization-world-history-40"}, {"translated_youtube_id": "xFHh89QTRSE", "relative_url": "/video/crash-course-world-history-41", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-41", "duration": 685, "translated_title": "Globalization I - The upside", "translated_description_html": "

In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you're one of those people who never puts their laundry away and lives out of a laundry basket. If that's the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what's going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he'll get into some of the less-positive side effects of globalization.<\/p>\n", "id": "x1d6a85cc", "description_html": "

In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you're one of those people who never puts their laundry away and lives out of a laundry basket. If that's the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what's going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he'll get into some of the less-positive side effects of globalization.<\/p>\n", "title": "Globalization I - The upside", "progress_key": "vx1d6a85cc", "edit_slug": "edit/v/x1d6a85cc", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you're one of those people who never puts their laundry away and lives out of a laundry basket. If that's the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what's going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he'll get into some of the less-positive side effects of globalization.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-41", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:41Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xFHh89QTRSE.mp4/xFHh89QTRSE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xFHh89QTRSE.mp4/xFHh89QTRSE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xFHh89QTRSE.m3u8/xFHh89QTRSE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xFHh89QTRSE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1d6a85cc", "sha": "56bde270d119cf0208923b5c539df6e47af3ce1c", "translated_description": "In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you're one of those people who never puts their laundry away and lives out of a laundry basket. If that's the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what's going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he'll get into some of the less-positive side effects of globalization.\n", "image_url": "https://img.youtube.com/vi/xFHh89QTRSE/hqdefault.jpg", "youtube_id": "xFHh89QTRSE", "content_kind": "Video", "readable_id": "crash-course-world-history-41"}, {"translated_youtube_id": "ySDcYZEcxcQ", "relative_url": "/video/crash-course-world-history-42", "has_questions": false, "keywords": "crash course", "ka_url": "http://www.khanacademy.org/video/crash-course-world-history-42", "duration": 792, "translated_title": "Globalization II - good or bad?", "translated_description_html": "

In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren't so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we're living in the middle of the events we're discussing, so it's hard to know how it's going to turn out. <\/p>\n", "id": "x27dc9e1e", "description_html": "

In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren't so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we're living in the middle of the events we're discussing, so it's hard to know how it's going to turn out. <\/p>\n", "title": "Globalization II - good or bad?", "progress_key": "vx27dc9e1e", "edit_slug": "edit/v/x27dc9e1e", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren't so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we're living in the middle of the events we're discussing, so it's hard to know how it's going to turn out. \n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-world-history-42", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T02:28:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ySDcYZEcxcQ.mp4/ySDcYZEcxcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ySDcYZEcxcQ.mp4/ySDcYZEcxcQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ySDcYZEcxcQ.m3u8/ySDcYZEcxcQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ySDcYZEcxcQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx27dc9e1e", "sha": "046209e8c8564868f5683d3222647ac48a62fb9a", "translated_description": "In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren't so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we're living in the middle of the events we're discussing, so it's hard to know how it's going to turn out. \n", "image_url": "https://img.youtube.com/vi/ySDcYZEcxcQ/hqdefault.jpg", "youtube_id": "ySDcYZEcxcQ", "content_kind": "Video", "readable_id": "crash-course-world-history-42"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "nationalism-imperialism-globalization", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1d590974", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history/nationalism-imperialism-globalization", "extended_slug": "partner-content/crash-course1/crash-course-world-history/nationalism-imperialism-globalization", "slug": "nationalism-imperialism-globalization", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "1a6e80c2d9b74ceb26c9974175d300205992a90a", "standalone_title": "Nationalism, Imperialism & Globalization", "y_pos": 0.0, "current_revision_key": "1a6e80c2d9b74ceb26c9974175d300205992a90a", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "John Green teaches you the history of the world in 42 episodes of Crash Course.", "deleted_mod_time": "2013-08-26T23:02:10Z", "logo_image_url": "", "in_knowledge_map": false, "description": "John Green teaches you the history of the world in 42 episodes of Crash Course.", "x_pos": 0.0, "node_slug": "crash-course-world-history", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-14T21:48:06Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax9ecc266b", "topic_page_url": "/partner-content/crash-course1/crash-course-world-history", "extended_slug": "partner-content/crash-course1/crash-course-world-history", "slug": "crash-course-world-history", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d68ab2441d17484536fa63ac91d726292ddb921a", "standalone_title": "Crash Course World History", "y_pos": 0.0, "current_revision_key": "d68ab2441d17484536fa63ac91d726292ddb921a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/crash-course-biology", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/crash-course-biology", "translated_standalone_title": "Crash Course Biology", "translated_title": "Crash Course Biology", "gplus_url": "", "id": "x0e3146b7", "old_key_name": null, "hide": false, "title": "Crash Course Biology", "child_data": [{"kind": "Video", "id": "x85308c41"}, {"kind": "Video", "id": "x54044ac7"}, {"kind": "Video", "id": "x73b23732"}, {"kind": "Video", "id": "x1a4d6c1f"}, {"kind": "Video", "id": "xc0e08df7"}, {"kind": "Video", "id": "xcb219728"}, {"kind": "Video", "id": "xf72e1dd1"}, {"kind": "Video", "id": "xc4515dd1"}, {"kind": "Video", "id": "x1fd24ff0"}, {"kind": "Video", "id": "x2506ee00"}, {"kind": "Video", "id": "x6cbf0cc5"}, {"kind": "Video", "id": "x715cf309"}, {"kind": "Video", "id": "xd142baf8"}, {"kind": "Video", "id": "x5ac34f3f"}, {"kind": "Video", "id": "x2a1e72e6"}, {"kind": "Video", "id": "x3ca96de4"}, {"kind": "Video", "id": "x5785bee3"}, {"kind": "Video", "id": "x78575817"}, {"kind": "Video", "id": "x2a975847"}, {"kind": "Video", "id": "x52747219"}, {"kind": "Video", "id": "x883723ae"}, {"kind": "Video", "id": "xf15a323b"}, {"kind": "Video", "id": "x0d69a14c"}, {"kind": "Video", "id": "xca530885"}, {"kind": "Video", "id": "xbc546068"}, {"kind": "Video", "id": "x36040d97"}, {"kind": "Video", "id": "xc0fcd70d"}, {"kind": "Video", "id": "xefd2341f"}, {"kind": "Video", "id": "x6f676d6f"}, {"kind": "Video", "id": "xf549a789"}, {"kind": "Video", "id": "xe290b45f"}, {"kind": "Video", "id": "x5f970c94"}, {"kind": "Video", "id": "xc999bd91"}, {"kind": "Video", "id": "x430bfa6c"}, {"kind": "Video", "id": "x1cc685e9"}, {"kind": "Video", "id": "x710e6e61"}, {"kind": "Video", "id": "xfb2f8bf8"}, {"kind": "Video", "id": "x2e39a058"}, {"kind": "Video", "id": "xc562e874"}, {"kind": "Video", "id": "xe641db5c"}], "children": [{"translated_youtube_id": "T2DaaGuKOTo", "relative_url": "/video/bio101-carbon", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bio101-carbon", "duration": 578, "translated_title": "Why Carbon is a tramp", "translated_description_html": "", "id": "x85308c41", "description_html": "", "title": "Why Carbon is a tramp", "progress_key": "vx85308c41", "edit_slug": "edit/v/x85308c41", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/bio101-carbon", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-27T17:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T2DaaGuKOTo.mp4/T2DaaGuKOTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T2DaaGuKOTo.mp4/T2DaaGuKOTo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T2DaaGuKOTo.m3u8/T2DaaGuKOTo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T2DaaGuKOTo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx85308c41", "sha": "cf0945152764e6066a6d9f422d3f015d0d7aa11d", "translated_description": "", "image_url": "https://img.youtube.com/vi/T2DaaGuKOTo/hqdefault.jpg", "youtube_id": "T2DaaGuKOTo", "content_kind": "Video", "readable_id": "bio101-carbon"}, {"translated_youtube_id": "QymONNa5C6s", "relative_url": "/video/crash-course-biology-102", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-102", "duration": 654, "translated_title": "Water - Liquid awesome", "translated_description_html": "

Hank teaches us why water is one of the most fascinating and important substances in the universe.<\/p>\n", "id": "x54044ac7", "description_html": "

Hank teaches us why water is one of the most fascinating and important substances in the universe.<\/p>\n", "title": "Water - Liquid awesome", "progress_key": "vx54044ac7", "edit_slug": "edit/v/x54044ac7", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank teaches us why water is one of the most fascinating and important substances in the universe.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-102", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QymONNa5C6s.mp4/QymONNa5C6s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QymONNa5C6s.mp4/QymONNa5C6s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QymONNa5C6s.m3u8/QymONNa5C6s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QymONNa5C6s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx54044ac7", "sha": "f77d61c0dc0b811e560f49c10e7cd8e909da2cd8", "translated_description": "Hank teaches us why water is one of the most fascinating and important substances in the universe.\n", "image_url": "https://img.youtube.com/vi/QymONNa5C6s/hqdefault.jpg", "youtube_id": "QymONNa5C6s", "content_kind": "Video", "readable_id": "crash-course-biology-102"}, {"translated_youtube_id": "WtCCobhLqng", "relative_url": "/video/crash-course-biology-103", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-103", "duration": 826, "translated_title": "Biological Molecules - you are what you eat", "translated_description_html": "

Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.<\/p>\n", "id": "x73b23732", "description_html": "

Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.<\/p>\n", "title": "Biological Molecules - you are what you eat", "progress_key": "vx73b23732", "edit_slug": "edit/v/x73b23732", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-103", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WtCCobhLqng.mp4/WtCCobhLqng.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WtCCobhLqng.mp4/WtCCobhLqng.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WtCCobhLqng.m3u8/WtCCobhLqng.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WtCCobhLqng&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx73b23732", "sha": "20a9e3cd867617fd4d4344bfe62483d5add818ae", "translated_description": "Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.\n", "image_url": "https://img.youtube.com/vi/WtCCobhLqng/hqdefault.jpg", "youtube_id": "WtCCobhLqng", "content_kind": "Video", "readable_id": "crash-course-biology-103"}, {"translated_youtube_id": "1aJBToJrlvA", "relative_url": "/video/crash-course-biology-104", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-104", "duration": 671, "translated_title": "Eukaryopolis - The city of animal cells", "translated_description_html": "

Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.<\/p>\n", "id": "x1a4d6c1f", "description_html": "

Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.<\/p>\n", "title": "Eukaryopolis - The city of animal cells", "progress_key": "vx1a4d6c1f", "edit_slug": "edit/v/x1a4d6c1f", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-104", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1aJBToJrlvA.mp4/1aJBToJrlvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1aJBToJrlvA.mp4/1aJBToJrlvA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1aJBToJrlvA.m3u8/1aJBToJrlvA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1aJBToJrlvA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1a4d6c1f", "sha": "697e37c17e28da8b97771ec3c81201a6f444d409", "translated_description": "Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.\n", "image_url": "https://img.youtube.com/vi/1aJBToJrlvA/hqdefault.jpg", "youtube_id": "1aJBToJrlvA", "content_kind": "Video", "readable_id": "crash-course-biology-104"}, {"translated_youtube_id": "TyZODv-UqvU", "relative_url": "/video/crash-course-biology-105", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-105", "duration": 679, "translated_title": "In da club - Membranes & transport", "translated_description_html": "

Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.<\/p>\n", "id": "xc0e08df7", "description_html": "

Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.<\/p>\n", "title": "In da club - Membranes & transport", "progress_key": "vxc0e08df7", "edit_slug": "edit/v/xc0e08df7", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-105", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TyZODv-UqvU.mp4/TyZODv-UqvU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TyZODv-UqvU.mp4/TyZODv-UqvU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TyZODv-UqvU.m3u8/TyZODv-UqvU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TyZODv-UqvU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc0e08df7", "sha": "08ca0fe3c103f0aa81bf63a18086303ff2f4d21c", "translated_description": "Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.\n", "image_url": "https://img.youtube.com/vi/TyZODv-UqvU/hqdefault.jpg", "youtube_id": "TyZODv-UqvU", "content_kind": "Video", "readable_id": "crash-course-biology-105"}, {"translated_youtube_id": "d9GkH4vpK3w", "relative_url": "/video/crash-course-biology-106", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-106", "duration": 600, "translated_title": "Plant cells", "translated_description_html": "

Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to & different from animal cells.<\/p>\n", "id": "xcb219728", "description_html": "

Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to & different from animal cells.<\/p>\n", "title": "Plant cells", "progress_key": "vxcb219728", "edit_slug": "edit/v/xcb219728", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to & different from animal cells.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-106", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d9GkH4vpK3w.mp4/d9GkH4vpK3w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d9GkH4vpK3w.mp4/d9GkH4vpK3w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d9GkH4vpK3w.m3u8/d9GkH4vpK3w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d9GkH4vpK3w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcb219728", "sha": "6847d310560013ece8d19befe398554ec049a3b7", "translated_description": "Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to & different from animal cells.\n", "image_url": "https://img.youtube.com/vi/d9GkH4vpK3w/hqdefault.jpg", "youtube_id": "d9GkH4vpK3w", "content_kind": "Video", "readable_id": "crash-course-biology-106"}, {"translated_youtube_id": "CIyAs0bxeoI", "relative_url": "/video/crash-course-biology-107", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-107", "duration": 779, "translated_title": "ATP & respiration", "translated_description_html": "

In which Hank does some push ups for science and describes the "economy" of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.<\/p>\n", "id": "xf72e1dd1", "description_html": "

In which Hank does some push ups for science and describes the "economy" of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.<\/p>\n", "title": "ATP & respiration", "progress_key": "vxf72e1dd1", "edit_slug": "edit/v/xf72e1dd1", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "In which Hank does some push ups for science and describes the \"economy\" of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-107", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CIyAs0bxeoI.mp4/CIyAs0bxeoI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CIyAs0bxeoI.mp4/CIyAs0bxeoI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CIyAs0bxeoI.m3u8/CIyAs0bxeoI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CIyAs0bxeoI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf72e1dd1", "sha": "2a479ee7ae1ab27279c79f1d5102e721b0d805fc", "translated_description": "In which Hank does some push ups for science and describes the \"economy\" of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.\n", "image_url": "https://img.youtube.com/vi/CIyAs0bxeoI/hqdefault.jpg", "youtube_id": "CIyAs0bxeoI", "content_kind": "Video", "readable_id": "crash-course-biology-107"}, {"translated_youtube_id": "WMgJtmjWHYg", "relative_url": "/video/crash-course-biology-108", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-108", "duration": 767, "translated_title": "Photosynthesis", "translated_description_html": "

Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we're pretty fond of as well.<\/p>\n", "id": "xc4515dd1", "description_html": "

Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we're pretty fond of as well.<\/p>\n", "title": "Photosynthesis", "progress_key": "vxc4515dd1", "edit_slug": "edit/v/xc4515dd1", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we're pretty fond of as well.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-108", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WMgJtmjWHYg.mp4/WMgJtmjWHYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WMgJtmjWHYg.mp4/WMgJtmjWHYg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WMgJtmjWHYg.m3u8/WMgJtmjWHYg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WMgJtmjWHYg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc4515dd1", "sha": "c96f6b43060048cfb054fb1b7980f22f117339a1", "translated_description": "Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we're pretty fond of as well.\n", "image_url": "https://img.youtube.com/vi/WMgJtmjWHYg/hqdefault.jpg", "youtube_id": "WMgJtmjWHYg", "content_kind": "Video", "readable_id": "crash-course-biology-108"}, {"translated_youtube_id": "uSywjCBfSO8", "relative_url": "/video/crash-course-biology-109", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-109", "duration": 597, "translated_title": "Heredity", "translated_description_html": "

Hank and his brother John discuss heredity via the gross example of relative ear wax moistness. <\/p>\n", "id": "x1fd24ff0", "description_html": "

Hank and his brother John discuss heredity via the gross example of relative ear wax moistness. <\/p>\n", "title": "Heredity", "progress_key": "vx1fd24ff0", "edit_slug": "edit/v/x1fd24ff0", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank and his brother John discuss heredity via the gross example of relative ear wax moistness. \n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-109", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uSywjCBfSO8.mp4/uSywjCBfSO8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uSywjCBfSO8.mp4/uSywjCBfSO8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uSywjCBfSO8.m3u8/uSywjCBfSO8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uSywjCBfSO8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1fd24ff0", "sha": "934ef3fe7aea7736249c852e745b072984099c02", "translated_description": "Hank and his brother John discuss heredity via the gross example of relative ear wax moistness. \n", "image_url": "https://img.youtube.com/vi/uSywjCBfSO8/hqdefault.jpg", "youtube_id": "uSywjCBfSO8", "content_kind": "Video", "readable_id": "crash-course-biology-109"}, {"translated_youtube_id": "l6jdWkH3wfc", "relative_url": "/video/crash-course-biology-110", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-110", "duration": 758, "translated_title": "DNA structure and replication", "translated_description_html": "

Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.<\/p>\n", "id": "x2506ee00", "description_html": "

Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.<\/p>\n", "title": "DNA structure and replication", "progress_key": "vx2506ee00", "edit_slug": "edit/v/x2506ee00", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-110", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l6jdWkH3wfc.mp4/l6jdWkH3wfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l6jdWkH3wfc.mp4/l6jdWkH3wfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l6jdWkH3wfc.m3u8/l6jdWkH3wfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l6jdWkH3wfc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2506ee00", "sha": "fdbe9454e32ff9f50fd87cccd72700eea214bcfb", "translated_description": "Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.\n", "image_url": "https://img.youtube.com/vi/l6jdWkH3wfc/hqdefault.jpg", "youtube_id": "l6jdWkH3wfc", "content_kind": "Video", "readable_id": "crash-course-biology-110"}, {"translated_youtube_id": "I-y5d4Jjzfk", "relative_url": "/video/crash-course-biology-111", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-111", "duration": 816, "translated_title": "DNA, hot pockets, & the longest word ever", "translated_description_html": "

Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.<\/p>\n", "id": "x6cbf0cc5", "description_html": "

Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.<\/p>\n", "title": "DNA, hot pockets, & the longest word ever", "progress_key": "vx6cbf0cc5", "edit_slug": "edit/v/x6cbf0cc5", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-111", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/I-y5d4Jjzfk.mp4/I-y5d4Jjzfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I-y5d4Jjzfk.mp4/I-y5d4Jjzfk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/I-y5d4Jjzfk.m3u8/I-y5d4Jjzfk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=I-y5d4Jjzfk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6cbf0cc5", "sha": "dd07cf67887a84a0fe0d748bbbee1244c6079fdf", "translated_description": "Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.\n", "image_url": "https://img.youtube.com/vi/I-y5d4Jjzfk/hqdefault.jpg", "youtube_id": "I-y5d4Jjzfk", "content_kind": "Video", "readable_id": "crash-course-biology-111"}, {"translated_youtube_id": "X1bmedVziGw", "relative_url": "/video/crash-course-biology-112a", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-112a", "duration": 624, "translated_title": "Mitosis: Splitting up is complicated", "translated_description_html": "

Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.<\/p>\n", "id": "x715cf309", "description_html": "

Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.<\/p>\n", "title": "Mitosis: Splitting up is complicated", "progress_key": "vx715cf309", "edit_slug": "edit/v/x715cf309", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-112a", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/X1bmedVziGw.mp4/X1bmedVziGw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/X1bmedVziGw.mp4/X1bmedVziGw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X1bmedVziGw.m3u8/X1bmedVziGw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=X1bmedVziGw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx715cf309", "sha": "cb71f9a9c4e921694c89a3808e3452343de03ccb", "translated_description": "Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.\n", "image_url": "https://img.youtube.com/vi/X1bmedVziGw/hqdefault.jpg", "youtube_id": "X1bmedVziGw", "content_kind": "Video", "readable_id": "crash-course-biology-112a"}, {"translated_youtube_id": "TX7-Kdn6lJQ", "relative_url": "/video/crash-course-biology-112b", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-112b", "duration": 672, "translated_title": "Meiosis: Where the sex starts", "translated_description_html": "

Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.<\/p>\n", "id": "xd142baf8", "description_html": "

Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.<\/p>\n", "title": "Meiosis: Where the sex starts", "progress_key": "vxd142baf8", "edit_slug": "edit/v/xd142baf8", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-112b", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TX7-Kdn6lJQ.mp4/TX7-Kdn6lJQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TX7-Kdn6lJQ.mp4/TX7-Kdn6lJQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TX7-Kdn6lJQ.m3u8/TX7-Kdn6lJQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TX7-Kdn6lJQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxd142baf8", "sha": "4f4a2096096e5aaefde317164dbe6262b4bbda43", "translated_description": "Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.\n", "image_url": "https://img.youtube.com/vi/TX7-Kdn6lJQ/hqdefault.jpg", "youtube_id": "TX7-Kdn6lJQ", "content_kind": "Video", "readable_id": "crash-course-biology-112b"}, {"translated_youtube_id": "bQfZXeksysw", "relative_url": "/video/crash-course-biology-113", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-113", "duration": 744, "translated_title": "Natural Selection", "translated_description_html": "

Hank guides us through the process of natural selection, the key mechanism of evolution.<\/p>\n", "id": "x5ac34f3f", "description_html": "

Hank guides us through the process of natural selection, the key mechanism of evolution.<\/p>\n", "title": "Natural Selection", "progress_key": "vx5ac34f3f", "edit_slug": "edit/v/x5ac34f3f", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank guides us through the process of natural selection, the key mechanism of evolution.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-113", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bQfZXeksysw.mp4/bQfZXeksysw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bQfZXeksysw.mp4/bQfZXeksysw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bQfZXeksysw.m3u8/bQfZXeksysw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bQfZXeksysw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5ac34f3f", "sha": "f11ab91dea3c9e01926b3cc35b7f360afe7583e1", "translated_description": "Hank guides us through the process of natural selection, the key mechanism of evolution.\n", "image_url": "https://img.youtube.com/vi/bQfZXeksysw/hqdefault.jpg", "youtube_id": "bQfZXeksysw", "content_kind": "Video", "readable_id": "crash-course-biology-113"}, {"translated_youtube_id": "st_gQzP4QxY", "relative_url": "/video/crash-course-biology-114", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-114", "duration": 601, "translated_title": "Speciation: Of ligers & men", "translated_description_html": "

Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs. <\/p>\n", "id": "x2a1e72e6", "description_html": "

Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs. <\/p>\n", "title": "Speciation: Of ligers & men", "progress_key": "vx2a1e72e6", "edit_slug": "edit/v/x2a1e72e6", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs. \n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-114", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/st_gQzP4QxY.mp4/st_gQzP4QxY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/st_gQzP4QxY.mp4/st_gQzP4QxY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/st_gQzP4QxY.m3u8/st_gQzP4QxY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=st_gQzP4QxY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2a1e72e6", "sha": "8404d1945ef9fce604d1c90f3c9bf1293ed582c8", "translated_description": "Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs. \n", "image_url": "https://img.youtube.com/vi/st_gQzP4QxY/hqdefault.jpg", "youtube_id": "st_gQzP4QxY", "content_kind": "Video", "readable_id": "crash-course-biology-114"}, {"translated_youtube_id": "cstic6WHr2E", "relative_url": "/video/crash-course-biology-115", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-115", "duration": 664, "translated_title": "Animal development: We're just tubes", "translated_description_html": "

Hank discusses the process by which organisms grow and develop, maintaining that, in the end, we're all just tubes.<\/p>\n", "id": "x3ca96de4", "description_html": "

Hank discusses the process by which organisms grow and develop, maintaining that, in the end, we're all just tubes.<\/p>\n", "title": "Animal development: We're just tubes", "progress_key": "vx3ca96de4", "edit_slug": "edit/v/x3ca96de4", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank discusses the process by which organisms grow and develop, maintaining that, in the end, we're all just tubes.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-115", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/cstic6WHr2E.mp4/cstic6WHr2E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cstic6WHr2E.mp4/cstic6WHr2E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cstic6WHr2E.m3u8/cstic6WHr2E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=cstic6WHr2E&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx3ca96de4", "sha": "d3d3909ccef94a1e25dae4ff710cd5063606a39b", "translated_description": "Hank discusses the process by which organisms grow and develop, maintaining that, in the end, we're all just tubes.\n", "image_url": "https://img.youtube.com/vi/cstic6WHr2E/hqdefault.jpg", "youtube_id": "cstic6WHr2E", "content_kind": "Video", "readable_id": "crash-course-biology-115"}, {"translated_youtube_id": "Oqhe31kjlQM", "relative_url": "/video/crash-course-biology-116", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-116", "duration": 618, "translated_title": "Evolutionary development: Chicken teeth", "translated_description_html": "

Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!<\/p>\n", "id": "x5785bee3", "description_html": "

Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!<\/p>\n", "title": "Evolutionary development: Chicken teeth", "progress_key": "vx5785bee3", "edit_slug": "edit/v/x5785bee3", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-116", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oqhe31kjlQM.mp4/Oqhe31kjlQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oqhe31kjlQM.mp4/Oqhe31kjlQM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oqhe31kjlQM.m3u8/Oqhe31kjlQM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Oqhe31kjlQM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5785bee3", "sha": "8f41c06bfaf45a7a073a527f11e3772c9bbf2a2d", "translated_description": "Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!\n", "image_url": "https://img.youtube.com/vi/Oqhe31kjlQM/hqdefault.jpg", "youtube_id": "Oqhe31kjlQM", "content_kind": "Video", "readable_id": "crash-course-biology-116"}, {"translated_youtube_id": "tzqZsPjHFVQ", "relative_url": "/video/crash-course-biology-117", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-117", "duration": 640, "translated_title": "Population genetics: When Darwin met Mendel", "translated_description_html": "

Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.<\/p>\n", "id": "x78575817", "description_html": "

Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.<\/p>\n", "title": "Population genetics: When Darwin met Mendel", "progress_key": "vx78575817", "edit_slug": "edit/v/x78575817", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-117", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tzqZsPjHFVQ.mp4/tzqZsPjHFVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tzqZsPjHFVQ.mp4/tzqZsPjHFVQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tzqZsPjHFVQ.m3u8/tzqZsPjHFVQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tzqZsPjHFVQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx78575817", "sha": "1b3634ac452c15cae51e6d378aff39ed17555efd", "translated_description": "Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.\n", "image_url": "https://img.youtube.com/vi/tzqZsPjHFVQ/hqdefault.jpg", "youtube_id": "tzqZsPjHFVQ", "content_kind": "Video", "readable_id": "crash-course-biology-117"}, {"translated_youtube_id": "_2OIPwDEWFQ", "relative_url": "/video/crash-course-biology-118", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-118", "duration": 712, "translated_title": "Taxonomy: Life's filing system", "translated_description_html": "

Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.<\/p>\n", "id": "x2a975847", "description_html": "

Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.<\/p>\n", "title": "Taxonomy: Life's filing system", "progress_key": "vx2a975847", "edit_slug": "edit/v/x2a975847", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-118", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_2OIPwDEWFQ.mp4/_2OIPwDEWFQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_2OIPwDEWFQ.mp4/_2OIPwDEWFQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_2OIPwDEWFQ.m3u8/_2OIPwDEWFQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_2OIPwDEWFQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2a975847", "sha": "7b876012246b4efea5172b412b13b0b6a8aefdfe", "translated_description": "Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.\n", "image_url": "https://img.youtube.com/vi/_2OIPwDEWFQ/hqdefault.jpg", "youtube_id": "_2OIPwDEWFQ", "content_kind": "Video", "readable_id": "crash-course-biology-118"}, {"translated_youtube_id": "WThFuJ6wFcM", "relative_url": "/video/crash-course-biology-119", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-119", "duration": 671, "translated_title": "Evolution: It's a Thing", "translated_description_html": "

Hank gets real with us in a discussion of evolution - it's a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.<\/p>\n", "id": "x52747219", "description_html": "

Hank gets real with us in a discussion of evolution - it's a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.<\/p>\n", "title": "Evolution: It's a Thing", "progress_key": "vx52747219", "edit_slug": "edit/v/x52747219", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank gets real with us in a discussion of evolution - it's a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-119", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WThFuJ6wFcM.mp4/WThFuJ6wFcM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WThFuJ6wFcM.mp4/WThFuJ6wFcM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WThFuJ6wFcM.m3u8/WThFuJ6wFcM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WThFuJ6wFcM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx52747219", "sha": "690d923b24e18dcd5d2d830ec4a0b90e62b11463", "translated_description": "Hank gets real with us in a discussion of evolution - it's a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.\n", "image_url": "https://img.youtube.com/vi/WThFuJ6wFcM/hqdefault.jpg", "youtube_id": "WThFuJ6wFcM", "content_kind": "Video", "readable_id": "crash-course-biology-119"}, {"translated_youtube_id": "77_wq8yFEf8", "relative_url": "/video/crash-course-biology-120", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-120", "duration": 503, "translated_title": "Comparative anatomy: What makes us animals", "translated_description_html": "

Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.<\/p>\n", "id": "x883723ae", "description_html": "

Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.<\/p>\n", "title": "Comparative anatomy: What makes us animals", "progress_key": "vx883723ae", "edit_slug": "edit/v/x883723ae", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-120", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/77_wq8yFEf8.mp4/77_wq8yFEf8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/77_wq8yFEf8.mp4/77_wq8yFEf8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/77_wq8yFEf8.m3u8/77_wq8yFEf8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=77_wq8yFEf8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx883723ae", "sha": "874fc25eb6abfe5508a36b94b02e01683651e963", "translated_description": "Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.\n", "image_url": "https://img.youtube.com/vi/77_wq8yFEf8/hqdefault.jpg", "youtube_id": "77_wq8yFEf8", "content_kind": "Video", "readable_id": "crash-course-biology-120"}, {"translated_youtube_id": "qThlokfE-yk", "relative_url": "/video/crash-course-biology-121", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-121", "duration": 660, "translated_title": "Simple animals: Sponges, jellies, & octopuses", "translated_description_html": "

Hank introduces us to the "simplest" of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as "animals" has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.<\/p>\n", "id": "xf15a323b", "description_html": "

Hank introduces us to the "simplest" of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as "animals" has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.<\/p>\n", "title": "Simple animals: Sponges, jellies, & octopuses", "progress_key": "vxf15a323b", "edit_slug": "edit/v/xf15a323b", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to the \"simplest\" of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as \"animals\" has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-121", "deleted": false, "backup_timestamp": "2013-09-22T00:23:59Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qThlokfE-yk.mp4/qThlokfE-yk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qThlokfE-yk.mp4/qThlokfE-yk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qThlokfE-yk.m3u8/qThlokfE-yk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qThlokfE-yk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf15a323b", "sha": "f9536a5168f7a75ec444e413b27e62199dd50305", "translated_description": "Hank introduces us to the \"simplest\" of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as \"animals\" has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.\n", "image_url": "https://img.youtube.com/vi/qThlokfE-yk/hqdefault.jpg", "youtube_id": "qThlokfE-yk", "content_kind": "Video", "readable_id": "crash-course-biology-121"}, {"translated_youtube_id": "DfhhHr1KQic", "relative_url": "/video/crash-course-biology-122", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-122", "duration": 757, "translated_title": "Complex animals: Annelids & arthropods", "translated_description_html": "

Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.<\/p>\n", "id": "x0d69a14c", "description_html": "

Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.<\/p>\n", "title": "Complex animals: Annelids & arthropods", "progress_key": "vx0d69a14c", "edit_slug": "edit/v/x0d69a14c", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-122", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DfhhHr1KQic.mp4/DfhhHr1KQic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DfhhHr1KQic.mp4/DfhhHr1KQic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DfhhHr1KQic.m3u8/DfhhHr1KQic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DfhhHr1KQic&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx0d69a14c", "sha": "8d3fc30a82f467e077e980016d042a3f16d9e73e", "translated_description": "Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.\n", "image_url": "https://img.youtube.com/vi/DfhhHr1KQic/hqdefault.jpg", "youtube_id": "DfhhHr1KQic", "content_kind": "Video", "readable_id": "crash-course-biology-122"}, {"translated_youtube_id": "c7Yy9v8dH8s", "relative_url": "/video/crash-course-biology-123", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-123", "duration": 699, "translated_title": "Chordates", "translated_description_html": "

Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you're a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.<\/p>\n", "id": "xca530885", "description_html": "

Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you're a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.<\/p>\n", "title": "Chordates", "progress_key": "vxca530885", "edit_slug": "edit/v/xca530885", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you're a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-123", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/c7Yy9v8dH8s.mp4/c7Yy9v8dH8s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c7Yy9v8dH8s.mp4/c7Yy9v8dH8s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/c7Yy9v8dH8s.m3u8/c7Yy9v8dH8s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=c7Yy9v8dH8s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxca530885", "sha": "317270419039cc0facb1e26064cfe38aede70860", "translated_description": "Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you're a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.\n", "image_url": "https://img.youtube.com/vi/c7Yy9v8dH8s/hqdefault.jpg", "youtube_id": "c7Yy9v8dH8s", "content_kind": "Video", "readable_id": "crash-course-biology-123"}, {"translated_youtube_id": "Kgii4IcKCOg", "relative_url": "/video/crash-course-biology-124", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-124", "duration": 623, "translated_title": "Animal behavior", "translated_description_html": "

Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.<\/p>\n", "id": "xbc546068", "description_html": "

Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.<\/p>\n", "title": "Animal behavior", "progress_key": "vxbc546068", "edit_slug": "edit/v/xbc546068", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-124", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kgii4IcKCOg.mp4/Kgii4IcKCOg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kgii4IcKCOg.mp4/Kgii4IcKCOg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kgii4IcKCOg.m3u8/Kgii4IcKCOg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kgii4IcKCOg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxbc546068", "sha": "b63894676951ed564de5d26416779242f72971a4", "translated_description": "Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.\n", "image_url": "https://img.youtube.com/vi/Kgii4IcKCOg/hqdefault.jpg", "youtube_id": "Kgii4IcKCOg", "content_kind": "Video", "readable_id": "crash-course-biology-124"}, {"translated_youtube_id": "aP1KZzgR_dg", "relative_url": "/video/crash-course-biology-125", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-125", "duration": 697, "translated_title": "The nervous system", "translated_description_html": "

Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.<\/p>\n", "id": "x36040d97", "description_html": "

Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.<\/p>\n", "title": "The nervous system", "progress_key": "vx36040d97", "edit_slug": "edit/v/x36040d97", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-125", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aP1KZzgR_dg.mp4/aP1KZzgR_dg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aP1KZzgR_dg.mp4/aP1KZzgR_dg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aP1KZzgR_dg.m3u8/aP1KZzgR_dg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aP1KZzgR_dg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx36040d97", "sha": "d41a529c8be48e7d674e7ccf944467d839c72c5a", "translated_description": "Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.\n", "image_url": "https://img.youtube.com/vi/aP1KZzgR_dg/hqdefault.jpg", "youtube_id": "aP1KZzgR_dg", "content_kind": "Video", "readable_id": "crash-course-biology-125"}, {"translated_youtube_id": "L1qpKn2hNF0", "relative_url": "/video/crash-course-biology-126", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-126", "duration": 670, "translated_title": "Circulatory & respiratory systems", "translated_description_html": "

Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.<\/p>\n", "id": "xc0fcd70d", "description_html": "

Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.<\/p>\n", "title": "Circulatory & respiratory systems", "progress_key": "vxc0fcd70d", "edit_slug": "edit/v/xc0fcd70d", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-126", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L1qpKn2hNF0.mp4/L1qpKn2hNF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L1qpKn2hNF0.mp4/L1qpKn2hNF0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L1qpKn2hNF0.m3u8/L1qpKn2hNF0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L1qpKn2hNF0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc0fcd70d", "sha": "ac7eb532925b0a1ce62c800801ea00fba5be11e8", "translated_description": "Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.\n", "image_url": "https://img.youtube.com/vi/L1qpKn2hNF0/hqdefault.jpg", "youtube_id": "L1qpKn2hNF0", "content_kind": "Video", "readable_id": "crash-course-biology-126"}, {"translated_youtube_id": "qF6TBRaE2_A", "relative_url": "/video/crash-course-biology-127", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-127", "duration": 684, "translated_title": "The digestive system", "translated_description_html": "

Hank takes us through the bowels of the human digestive system and explains why it's all about surface area.<\/p>\n", "id": "xefd2341f", "description_html": "

Hank takes us through the bowels of the human digestive system and explains why it's all about surface area.<\/p>\n", "title": "The digestive system", "progress_key": "vxefd2341f", "edit_slug": "edit/v/xefd2341f", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank takes us through the bowels of the human digestive system and explains why it's all about surface area.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-127", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qF6TBRaE2_A.mp4/qF6TBRaE2_A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qF6TBRaE2_A.mp4/qF6TBRaE2_A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qF6TBRaE2_A.m3u8/qF6TBRaE2_A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qF6TBRaE2_A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxefd2341f", "sha": "6d807e0768d9b75922ad9f0bfeb00f08c8728ae3", "translated_description": "Hank takes us through the bowels of the human digestive system and explains why it's all about surface area.\n", "image_url": "https://img.youtube.com/vi/qF6TBRaE2_A/hqdefault.jpg", "youtube_id": "qF6TBRaE2_A", "content_kind": "Video", "readable_id": "crash-course-biology-127"}, {"translated_youtube_id": "UU366tJPovg", "relative_url": "/video/crash-course-biology-128", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-128", "duration": 705, "translated_title": "The excretory system: From your heart to the toilet", "translated_description_html": "

Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.<\/p>\n", "id": "x6f676d6f", "description_html": "

Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.<\/p>\n", "title": "The excretory system: From your heart to the toilet", "progress_key": "vx6f676d6f", "edit_slug": "edit/v/x6f676d6f", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-128", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UU366tJPovg.mp4/UU366tJPovg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UU366tJPovg.mp4/UU366tJPovg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UU366tJPovg.m3u8/UU366tJPovg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UU366tJPovg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6f676d6f", "sha": "d920a5bad7d9b4a618bf470fa5ebe22d0bbfefcb", "translated_description": "Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.\n", "image_url": "https://img.youtube.com/vi/UU366tJPovg/hqdefault.jpg", "youtube_id": "UU366tJPovg", "content_kind": "Video", "readable_id": "crash-course-biology-128"}, {"translated_youtube_id": "97FwcpMIUuY", "relative_url": "/video/crash-course-biology-129", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-129", "duration": 761, "translated_title": "The skeletal system: It's ALIVE!", "translated_description_html": "

Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.<\/p>\n", "id": "xf549a789", "description_html": "

Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.<\/p>\n", "title": "The skeletal system: It's ALIVE!", "progress_key": "vxf549a789", "edit_slug": "edit/v/xf549a789", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-129", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/97FwcpMIUuY.mp4/97FwcpMIUuY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/97FwcpMIUuY.mp4/97FwcpMIUuY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/97FwcpMIUuY.m3u8/97FwcpMIUuY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=97FwcpMIUuY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf549a789", "sha": "4b2d1ab5c8d3a1dfc487ceeb3aa5cd5879a981e7", "translated_description": "Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.\n", "image_url": "https://img.youtube.com/vi/97FwcpMIUuY/hqdefault.jpg", "youtube_id": "97FwcpMIUuY", "content_kind": "Video", "readable_id": "crash-course-biology-129"}, {"translated_youtube_id": "5_6m0I1BUp4", "relative_url": "/video/crash-course-biology-130", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-130", "duration": 730, "translated_title": "Big Guns: The Muscular System", "translated_description_html": "

Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.<\/p>\n", "id": "xe290b45f", "description_html": "

Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.<\/p>\n", "title": "Big Guns: The Muscular System", "progress_key": "vxe290b45f", "edit_slug": "edit/v/xe290b45f", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-130", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5_6m0I1BUp4.mp4/5_6m0I1BUp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5_6m0I1BUp4.mp4/5_6m0I1BUp4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5_6m0I1BUp4.m3u8/5_6m0I1BUp4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5_6m0I1BUp4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe290b45f", "sha": "e535b5c1e9a37eadcdd6dad6d004655bfc1bb836", "translated_description": "Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.\n", "image_url": "https://img.youtube.com/vi/5_6m0I1BUp4/hqdefault.jpg", "youtube_id": "5_6m0I1BUp4", "content_kind": "Video", "readable_id": "crash-course-biology-130"}, {"translated_youtube_id": "4xtXBsYENzg", "relative_url": "/video/crash-course-biology-131", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-131", "duration": 881, "translated_title": "Your immune system: Natural born killer", "translated_description_html": "

Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.<\/p>\n", "id": "x5f970c94", "description_html": "

Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.<\/p>\n", "title": "Your immune system: Natural born killer", "progress_key": "vx5f970c94", "edit_slug": "edit/v/x5f970c94", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-131", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4xtXBsYENzg.mp4/4xtXBsYENzg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4xtXBsYENzg.mp4/4xtXBsYENzg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4xtXBsYENzg.m3u8/4xtXBsYENzg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4xtXBsYENzg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5f970c94", "sha": "78cdd1ad291923240e7763830a4290e988ab7380", "translated_description": "Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.\n", "image_url": "https://img.youtube.com/vi/4xtXBsYENzg/hqdefault.jpg", "youtube_id": "4xtXBsYENzg", "content_kind": "Video", "readable_id": "crash-course-biology-131"}, {"translated_youtube_id": "GZUn5RYkSkE", "relative_url": "/video/crash-course-biology-132", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-132", "duration": 656, "translated_title": "Great glands - Your endocrine system", "translated_description_html": "

Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body's growth, metabolism, and sexual development & function.<\/p>\n", "id": "xc999bd91", "description_html": "

Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body's growth, metabolism, and sexual development & function.<\/p>\n", "title": "Great glands - Your endocrine system", "progress_key": "vxc999bd91", "edit_slug": "edit/v/xc999bd91", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body's growth, metabolism, and sexual development & function.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-132", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZUn5RYkSkE.mp4/GZUn5RYkSkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZUn5RYkSkE.mp4/GZUn5RYkSkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZUn5RYkSkE.m3u8/GZUn5RYkSkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GZUn5RYkSkE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc999bd91", "sha": "7427f178af0fa6a0cc8c89953ab717f90b47c34c", "translated_description": "Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body's growth, metabolism, and sexual development & function.\n", "image_url": "https://img.youtube.com/vi/GZUn5RYkSkE/hqdefault.jpg", "youtube_id": "GZUn5RYkSkE", "content_kind": "Video", "readable_id": "crash-course-biology-132"}, {"translated_youtube_id": "HmAyjo0Ghh0", "relative_url": "/video/crash-course-biology-133", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-133", "duration": 690, "translated_title": "The reproductive system: How gonads go", "translated_description_html": "

Hank lets us in on the meaning of life, at least from a biological perspective - it's reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work? <\/p>\n", "id": "x430bfa6c", "description_html": "

Hank lets us in on the meaning of life, at least from a biological perspective - it's reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work? <\/p>\n", "title": "The reproductive system: How gonads go", "progress_key": "vx430bfa6c", "edit_slug": "edit/v/x430bfa6c", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank lets us in on the meaning of life, at least from a biological perspective - it's reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work? \n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-133", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HmAyjo0Ghh0.mp4/HmAyjo0Ghh0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HmAyjo0Ghh0.mp4/HmAyjo0Ghh0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HmAyjo0Ghh0.m3u8/HmAyjo0Ghh0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HmAyjo0Ghh0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx430bfa6c", "sha": "7323eb3cc434e6c9f8df355af23f73ff65eb92db", "translated_description": "Hank lets us in on the meaning of life, at least from a biological perspective - it's reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work? \n", "image_url": "https://img.youtube.com/vi/HmAyjo0Ghh0/hqdefault.jpg", "youtube_id": "HmAyjo0Ghh0", "content_kind": "Video", "readable_id": "crash-course-biology-133"}, {"translated_youtube_id": "sPIOgGHhlYo", "relative_url": "/video/crash-course-biology-134", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-134", "duration": 709, "translated_title": "Old & Odd: Archaea, Bacteria & Protists", "translated_description_html": "

Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.<\/p>\n", "id": "x1cc685e9", "description_html": "

Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.<\/p>\n", "title": "Old & Odd: Archaea, Bacteria & Protists", "progress_key": "vx1cc685e9", "edit_slug": "edit/v/x1cc685e9", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-134", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/sPIOgGHhlYo.mp4/sPIOgGHhlYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sPIOgGHhlYo.mp4/sPIOgGHhlYo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sPIOgGHhlYo.m3u8/sPIOgGHhlYo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=sPIOgGHhlYo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1cc685e9", "sha": "9c7af2a572338633ea2f9d6e0cc06048fbbc9c9f", "translated_description": "Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.\n", "image_url": "https://img.youtube.com/vi/sPIOgGHhlYo/hqdefault.jpg", "youtube_id": "sPIOgGHhlYo", "content_kind": "Video", "readable_id": "crash-course-biology-134"}, {"translated_youtube_id": "64GBYOsI9jQ", "relative_url": "/video/crash-course-biology-135", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-135", "duration": 556, "translated_title": "The sex lives of nonvascular plants", "translated_description_html": "

Hank introduces us to nonvascular plants - liverworts, hornworts & mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.<\/p>\n", "id": "x710e6e61", "description_html": "

Hank introduces us to nonvascular plants - liverworts, hornworts & mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.<\/p>\n", "title": "The sex lives of nonvascular plants", "progress_key": "vx710e6e61", "edit_slug": "edit/v/x710e6e61", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to nonvascular plants - liverworts, hornworts & mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-135", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/64GBYOsI9jQ.mp4/64GBYOsI9jQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/64GBYOsI9jQ.mp4/64GBYOsI9jQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/64GBYOsI9jQ.m3u8/64GBYOsI9jQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=64GBYOsI9jQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx710e6e61", "sha": "bd4e5814d249b15e0b9b4b6ad8364e7081ed2c9f", "translated_description": "Hank introduces us to nonvascular plants - liverworts, hornworts & mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.\n", "image_url": "https://img.youtube.com/vi/64GBYOsI9jQ/hqdefault.jpg", "youtube_id": "64GBYOsI9jQ", "content_kind": "Video", "readable_id": "crash-course-biology-135"}, {"translated_youtube_id": "VFtOcdXeP0Y", "relative_url": "/video/crash-course-biology-136", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-136", "duration": 683, "translated_title": "Vascular plants = Winning!", "translated_description_html": "

Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.<\/p>\n", "id": "xfb2f8bf8", "description_html": "

Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.<\/p>\n", "title": "Vascular plants = Winning!", "progress_key": "vxfb2f8bf8", "edit_slug": "edit/v/xfb2f8bf8", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-136", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VFtOcdXeP0Y.mp4/VFtOcdXeP0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VFtOcdXeP0Y.mp4/VFtOcdXeP0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VFtOcdXeP0Y.m3u8/VFtOcdXeP0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VFtOcdXeP0Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxfb2f8bf8", "sha": "40b2dc21b6e48375e6069f4154f0a12c038be6bd", "translated_description": "Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.\n", "image_url": "https://img.youtube.com/vi/VFtOcdXeP0Y/hqdefault.jpg", "youtube_id": "VFtOcdXeP0Y", "content_kind": "Video", "readable_id": "crash-course-biology-136"}, {"translated_youtube_id": "H3XT-YU2n0c", "relative_url": "/video/crash-course-biology-137", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-137", "duration": 586, "translated_title": "The plants & the bees: Plant reproduction", "translated_description_html": "

Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they've tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here's how the vascular plants (ferns, gymnosperms and angiosperms) do it.<\/p>\n", "id": "x2e39a058", "description_html": "

Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they've tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here's how the vascular plants (ferns, gymnosperms and angiosperms) do it.<\/p>\n", "title": "The plants & the bees: Plant reproduction", "progress_key": "vx2e39a058", "edit_slug": "edit/v/x2e39a058", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they've tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here's how the vascular plants (ferns, gymnosperms and angiosperms) do it.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-137", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/H3XT-YU2n0c.mp4/H3XT-YU2n0c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/H3XT-YU2n0c.mp4/H3XT-YU2n0c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H3XT-YU2n0c.m3u8/H3XT-YU2n0c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=H3XT-YU2n0c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx2e39a058", "sha": "7bc786730b380290f9b0400f0df257f585fe376e", "translated_description": "Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they've tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here's how the vascular plants (ferns, gymnosperms and angiosperms) do it.\n", "image_url": "https://img.youtube.com/vi/H3XT-YU2n0c/hqdefault.jpg", "youtube_id": "H3XT-YU2n0c", "content_kind": "Video", "readable_id": "crash-course-biology-137"}, {"translated_youtube_id": "1kEaBXshX90", "relative_url": "/video/crash-course-biology-138", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-138", "duration": 679, "translated_title": "Fungi: Death Becomes Them", "translated_description_html": "

Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.<\/p>\n", "id": "xc562e874", "description_html": "

Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.<\/p>\n", "title": "Fungi: Death Becomes Them", "progress_key": "vxc562e874", "edit_slug": "edit/v/xc562e874", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.\n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-138", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1kEaBXshX90.mp4/1kEaBXshX90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1kEaBXshX90.mp4/1kEaBXshX90.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1kEaBXshX90.m3u8/1kEaBXshX90.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1kEaBXshX90&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxc562e874", "sha": "31a6b3491141b6d07ebd60b9efbf43bd2c754999", "translated_description": "Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.\n", "image_url": "https://img.youtube.com/vi/1kEaBXshX90/hqdefault.jpg", "youtube_id": "1kEaBXshX90", "content_kind": "Video", "readable_id": "crash-course-biology-138"}, {"translated_youtube_id": "VSUEiTb0tag", "relative_url": "/video/crash-course-biology-139", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-biology-139", "duration": 587, "translated_title": "Ecology - Rules for living on earth", "translated_description_html": "

Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world. <\/p>\n", "id": "xe641db5c", "description_html": "

Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world. <\/p>\n", "title": "Ecology - Rules for living on earth", "progress_key": "vxe641db5c", "edit_slug": "edit/v/xe641db5c", "author_names": ["EcoGeek"], "deleted_mod_time": "2013-08-27T17:51:23Z", "description": "Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world. \n", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-biology-139", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-05T01:20:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VSUEiTb0tag.mp4/VSUEiTb0tag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VSUEiTb0tag.mp4/VSUEiTb0tag.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VSUEiTb0tag.m3u8/VSUEiTb0tag.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VSUEiTb0tag&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxe641db5c", "sha": "0b6a46e06b88b2648d3aac8e100ce928d906064e", "translated_description": "Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world. \n", "image_url": "https://img.youtube.com/vi/VSUEiTb0tag/hqdefault.jpg", "youtube_id": "VSUEiTb0tag", "content_kind": "Video", "readable_id": "crash-course-biology-139"}], "twitter_url": "", "translated_description": "Hank Green teaches you biology!", "deleted_mod_time": "2013-08-21T23:12:37Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Hank Green teaches you biology!", "x_pos": 0.0, "node_slug": "crash-course-biology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T17:53:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0e3146b7", "topic_page_url": "/partner-content/crash-course1/crash-course-biology", "extended_slug": "partner-content/crash-course1/crash-course-biology", "slug": "crash-course-biology", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "79c811405d95cab7ce8b2b08cf02656f6994f34b", "standalone_title": "Crash Course Biology", "y_pos": 0.0, "current_revision_key": "79c811405d95cab7ce8b2b08cf02656f6994f34b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/crash-course1/cc-ecology", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/crash-course1/cc-ecology", "translated_standalone_title": "Crash Course Ecology", "translated_title": "Crash Course Ecology", "gplus_url": "", "id": "xfacef9fb", "old_key_name": null, "hide": false, "title": "Crash Course Ecology", "child_data": [{"kind": "Video", "id": "x5b47366f"}, {"kind": "Video", "id": "xcd1e5724"}, {"kind": "Video", "id": "x954d4490"}, {"kind": "Video", "id": "xdfddb1cb"}, {"kind": "Video", "id": "xffeb37ac"}, {"kind": "Video", "id": "xab380013"}, {"kind": "Video", "id": "x91207b6f"}, {"kind": "Video", "id": "x041464ae"}, {"kind": "Video", "id": "x6927dbdf"}, {"kind": "Video", "id": "x1abc653d"}, {"kind": "Video", "id": "x6da51fc6"}, {"kind": "Video", "id": "xf2699cb1"}], "children": [{"translated_youtube_id": "Akpl6wmAfZQ", "relative_url": "/video/crash-course-ecology-01", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-01", "duration": 788, "translated_title": "The history of life on earth", "translated_description_html": "", "id": "x5b47366f", "description_html": "", "title": "The history of life on earth", "progress_key": "vx5b47366f", "edit_slug": "edit/v/x5b47366f", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-01", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Akpl6wmAfZQ.mp4/Akpl6wmAfZQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Akpl6wmAfZQ.mp4/Akpl6wmAfZQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Akpl6wmAfZQ.m3u8/Akpl6wmAfZQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Akpl6wmAfZQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx5b47366f", "sha": "ce3897c3704dac6163b212832dfb9d3689732ee7", "translated_description": "", "image_url": "https://img.youtube.com/vi/Akpl6wmAfZQ/hqdefault.jpg", "youtube_id": "Akpl6wmAfZQ", "content_kind": "Video", "readable_id": "crash-course-ecology-01"}, {"translated_youtube_id": "IOuZHx6w-gU", "relative_url": "/video/crash-course-ecology-02", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-02", "duration": 684, "translated_title": "Population ecology: The Texas mosquito mystery", "translated_description_html": "", "id": "xcd1e5724", "description_html": "", "title": "Population ecology: The Texas mosquito mystery", "progress_key": "vxcd1e5724", "edit_slug": "edit/v/xcd1e5724", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-02", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-27T17:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/IOuZHx6w-gU.mp4/IOuZHx6w-gU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IOuZHx6w-gU.mp4/IOuZHx6w-gU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IOuZHx6w-gU.m3u8/IOuZHx6w-gU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=IOuZHx6w-gU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxcd1e5724", "sha": "3f864dfdcb833a9d5c197f6c5b75a5eebf59e2fc", "translated_description": "", "image_url": "https://img.youtube.com/vi/IOuZHx6w-gU/hqdefault.jpg", "youtube_id": "IOuZHx6w-gU", "content_kind": "Video", "readable_id": "crash-course-ecology-02"}, {"translated_youtube_id": "WIhR50ttMB4", "relative_url": "/video/crash-course-ecology-03", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-03", "duration": 625, "translated_title": "Human population growth", "translated_description_html": "", "id": "x954d4490", "description_html": "", "title": "Human population growth", "progress_key": "vx954d4490", "edit_slug": "edit/v/x954d4490", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-03", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WIhR50ttMB4.mp4/WIhR50ttMB4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WIhR50ttMB4.mp4/WIhR50ttMB4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WIhR50ttMB4.m3u8/WIhR50ttMB4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WIhR50ttMB4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx954d4490", "sha": "1ee4d990289fab7ec482b8737eda21a0ceb00c6a", "translated_description": "", "image_url": "https://img.youtube.com/vi/WIhR50ttMB4/hqdefault.jpg", "youtube_id": "WIhR50ttMB4", "content_kind": "Video", "readable_id": "crash-course-ecology-03"}, {"translated_youtube_id": "ymWr2tIwIGo", "relative_url": "/video/crash-course-ecology-04", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-04", "duration": 660, "translated_title": "Community ecology: Feel the love", "translated_description_html": "", "id": "xdfddb1cb", "description_html": "", "title": "Community ecology: Feel the love", "progress_key": "vxdfddb1cb", "edit_slug": "edit/v/xdfddb1cb", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-04", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-27T17:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ymWr2tIwIGo.mp4/ymWr2tIwIGo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ymWr2tIwIGo.mp4/ymWr2tIwIGo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ymWr2tIwIGo.m3u8/ymWr2tIwIGo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ymWr2tIwIGo&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxdfddb1cb", "sha": "619e7597cea08d67446c4c8b49c61c9f75dc634b", "translated_description": "", "image_url": "https://img.youtube.com/vi/ymWr2tIwIGo/hqdefault.jpg", "youtube_id": "ymWr2tIwIGo", "content_kind": "Video", "readable_id": "crash-course-ecology-04"}, {"translated_youtube_id": "DISpHFWYtRM", "relative_url": "/video/crash-course-ecology-05", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-05", "duration": 593, "translated_title": "Community ecology II: Predators", "translated_description_html": "", "id": "xffeb37ac", "description_html": "", "title": "Community ecology II: Predators", "progress_key": "vxffeb37ac", "edit_slug": "edit/v/xffeb37ac", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-05", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DISpHFWYtRM.mp4/DISpHFWYtRM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DISpHFWYtRM.mp4/DISpHFWYtRM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DISpHFWYtRM.m3u8/DISpHFWYtRM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DISpHFWYtRM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxffeb37ac", "sha": "fc5cf0bc5dae1ec40d119f01c57896bb4d49d29a", "translated_description": "", "image_url": "https://img.youtube.com/vi/DISpHFWYtRM/hqdefault.jpg", "youtube_id": "DISpHFWYtRM", "content_kind": "Video", "readable_id": "crash-course-ecology-05"}, {"translated_youtube_id": "vNbgztA5WVc", "relative_url": "/video/crash-course-ecology-06", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-06", "duration": 565, "translated_title": "Ecological succession: Change is good", "translated_description_html": "", "id": "xab380013", "description_html": "", "title": "Ecological succession: Change is good", "progress_key": "vxab380013", "edit_slug": "edit/v/xab380013", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-06", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-27T17:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vNbgztA5WVc.mp4/vNbgztA5WVc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vNbgztA5WVc.mp4/vNbgztA5WVc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vNbgztA5WVc.m3u8/vNbgztA5WVc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vNbgztA5WVc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxab380013", "sha": "2d58daf4b9991c867d504cbffa9302108d1f97a6", "translated_description": "", "image_url": "https://img.youtube.com/vi/vNbgztA5WVc/hqdefault.jpg", "youtube_id": "vNbgztA5WVc", "content_kind": "Video", "readable_id": "crash-course-ecology-06"}, {"translated_youtube_id": "Jh4UsA2see0", "relative_url": "/video/crash-course-ecology-07", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-07", "duration": 582, "translated_title": "Ecosystem ecology: Links in the chain", "translated_description_html": "", "id": "x91207b6f", "description_html": "", "title": "Ecosystem ecology: Links in the chain", "progress_key": "vx91207b6f", "edit_slug": "edit/v/x91207b6f", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-07", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-27T17:51:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jh4UsA2see0.mp4/Jh4UsA2see0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jh4UsA2see0.mp4/Jh4UsA2see0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jh4UsA2see0.m3u8/Jh4UsA2see0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jh4UsA2see0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx91207b6f", "sha": "de6e201605c996ac9b93089b39b8a00f41918115", "translated_description": "", "image_url": "https://img.youtube.com/vi/Jh4UsA2see0/hqdefault.jpg", "youtube_id": "Jh4UsA2see0", "content_kind": "Video", "readable_id": "crash-course-ecology-07"}, {"translated_youtube_id": "yrxAKGGEWZY", "relative_url": "/video/crash-course-ecology-08", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-08", "duration": 563, "translated_title": "The hydrologic and carbon cycles: Always recycle!", "translated_description_html": "", "id": "x041464ae", "description_html": "", "title": "The hydrologic and carbon cycles: Always recycle!", "progress_key": "vx041464ae", "edit_slug": "edit/v/x041464ae", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-08", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yrxAKGGEWZY.mp4/yrxAKGGEWZY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yrxAKGGEWZY.mp4/yrxAKGGEWZY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yrxAKGGEWZY.m3u8/yrxAKGGEWZY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yrxAKGGEWZY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx041464ae", "sha": "92a0766b2540b5e80e6583dc12f9ceb6d2593334", "translated_description": "", "image_url": "https://img.youtube.com/vi/yrxAKGGEWZY/hqdefault.jpg", "youtube_id": "yrxAKGGEWZY", "content_kind": "Video", "readable_id": "crash-course-ecology-08"}, {"translated_youtube_id": "6rwoktPmqpY", "relative_url": "/video/crash-course-ecology-09", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-09", "duration": 522, "translated_title": "Nitrogen and phosphorus cycles: Always recycle!", "translated_description_html": "", "id": "x6927dbdf", "description_html": "", "title": "Nitrogen and phosphorus cycles: Always recycle!", "progress_key": "vx6927dbdf", "edit_slug": "edit/v/x6927dbdf", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-09", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6rwoktPmqpY.mp4/6rwoktPmqpY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6rwoktPmqpY.mp4/6rwoktPmqpY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6rwoktPmqpY.m3u8/6rwoktPmqpY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6rwoktPmqpY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6927dbdf", "sha": "7fe0e397069fb944dc47729d54633f76b5b08c9a", "translated_description": "", "image_url": "https://img.youtube.com/vi/6rwoktPmqpY/hqdefault.jpg", "youtube_id": "6rwoktPmqpY", "content_kind": "Video", "readable_id": "crash-course-ecology-09"}, {"translated_youtube_id": "54JkvkIT0Dc", "relative_url": "/video/crash-course-ecology-10", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-10", "duration": 600, "translated_title": "5 human impacts on the environment", "translated_description_html": "", "id": "x1abc653d", "description_html": "", "title": "5 human impacts on the environment", "progress_key": "vx1abc653d", "edit_slug": "edit/v/x1abc653d", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-10", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/54JkvkIT0Dc.mp4/54JkvkIT0Dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/54JkvkIT0Dc.mp4/54JkvkIT0Dc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/54JkvkIT0Dc.m3u8/54JkvkIT0Dc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=54JkvkIT0Dc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1abc653d", "sha": "a8e48d7e8cda2ebf423556f51d42c8bfed38d6de", "translated_description": "", "image_url": "https://img.youtube.com/vi/54JkvkIT0Dc/hqdefault.jpg", "youtube_id": "54JkvkIT0Dc", "content_kind": "Video", "readable_id": "crash-course-ecology-10"}, {"translated_youtube_id": "xGBA1_VVvGI", "relative_url": "/video/crash-course-ecology-11", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-11", "duration": 534, "translated_title": "Pollution", "translated_description_html": "", "id": "x6da51fc6", "description_html": "", "title": "Pollution", "progress_key": "vx6da51fc6", "edit_slug": "edit/v/x6da51fc6", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/crash-course-ecology-11", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGBA1_VVvGI.mp4/xGBA1_VVvGI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGBA1_VVvGI.mp4/xGBA1_VVvGI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xGBA1_VVvGI.m3u8/xGBA1_VVvGI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=xGBA1_VVvGI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx6da51fc6", "sha": "06de86e22bfad8f8bc1924499b9a0bfd14df48bb", "translated_description": "", "image_url": "https://img.youtube.com/vi/xGBA1_VVvGI/hqdefault.jpg", "youtube_id": "xGBA1_VVvGI", "content_kind": "Video", "readable_id": "crash-course-ecology-11"}, {"translated_youtube_id": "3BBqL_F9fxQ", "relative_url": "/video/crash-course-ecology-12", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/crash-course-ecology-12", "duration": 579, "translated_title": "Conservation and restoration ecology", "translated_description_html": "", "id": "xf2699cb1", "description_html": "", "title": "Conservation and restoration ecology", "progress_key": "vxf2699cb1", "edit_slug": "edit/v/xf2699cb1", "author_names": ["EcoGeek"], "deleted_mod_time": null, "description": "", "extra_properties": {"originalUrl": ""}, "node_slug": "v/crash-course-ecology-12", "deleted": false, "backup_timestamp": "2013-09-22T00:23:59Z", "date_added": "2013-08-27T17:51:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/3BBqL_F9fxQ.mp4/3BBqL_F9fxQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3BBqL_F9fxQ.mp4/3BBqL_F9fxQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3BBqL_F9fxQ.m3u8/3BBqL_F9fxQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=3BBqL_F9fxQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf2699cb1", "sha": "e0e874925b19da9136dc81a41487c4ffa7c18a16", "translated_description": "", "image_url": "https://img.youtube.com/vi/3BBqL_F9fxQ/hqdefault.jpg", "youtube_id": "3BBqL_F9fxQ", "content_kind": "Video", "readable_id": "crash-course-ecology-12"}], "twitter_url": "", "translated_description": "Hank Green teaches you ecology!", "deleted_mod_time": "2013-08-26T23:02:10Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Hank Green teaches you ecology!", "x_pos": 0.0, "node_slug": "cc-ecology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T17:53:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfacef9fb", "topic_page_url": "/partner-content/crash-course1/cc-ecology", "extended_slug": "partner-content/crash-course1/cc-ecology", "slug": "cc-ecology", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "0f6f62688ee4c3cbc0698f9454080189e3c46687", "standalone_title": "Crash Course Ecology", "y_pos": 0.0, "current_revision_key": "0f6f62688ee4c3cbc0698f9454080189e3c46687", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Awesome Crash Courses in Biology and World History from John and Hank Green", "deleted_mod_time": "2013-08-26T23:02:10Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Awesome Crash Courses in Biology and World History from John and Hank Green", "x_pos": 0.0, "node_slug": "crash-course1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-14T13:25:08Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0540a26a", "topic_page_url": "/partner-content/crash-course1", "extended_slug": "partner-content/crash-course1", "slug": "crash-course1", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "48f49bfd7c2e735c0008ef6e0472697a7b8afb78", "standalone_title": "Crash Course", "y_pos": 0.0, "current_revision_key": "48f49bfd7c2e735c0008ef6e0472697a7b8afb78", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/mit-k12", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/mit-k12", "translated_standalone_title": "MIT+K12", "translated_title": "MIT+K12", "gplus_url": "", "id": "xf3c15d4e", "old_key_name": "E7hk09AshovHqy8rwG6foPybmswUaf_i6Yx2j3RR", "hide": false, "title": "MIT+K12", "child_data": [{"kind": "Topic", "id": "xe6db396b"}, {"kind": "Topic", "id": "xc8234785"}, {"kind": "Topic", "id": "xb792ad99"}, {"kind": "Topic", "id": "x7ef4dc89"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/mit-k12/mit-k12-physics", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/mit-k12/mit-k12-physics", "translated_standalone_title": "Physics", "translated_title": "Physics", "gplus_url": "", "id": "xe6db396b", "old_key_name": "6-whlO2tL65-LmM14liGyZImorQCdth-coV58Y20", "hide": false, "title": "Physics", "child_data": [{"kind": "Video", "id": 1373629625}, {"kind": "Video", "id": "xd29a36c5"}, {"kind": "Video", "id": 1313147053}, {"kind": "Video", "id": 1333125679}, {"kind": "Video", "id": 1301173559}, {"kind": "Video", "id": 1283702578}, {"kind": "Video", "id": 743224468}, {"kind": "Video", "id": 743256207}, {"kind": "Video", "id": 743261465}, {"kind": "Video", "id": 743195401}, {"kind": "Video", "id": "xd1dcfaa2"}], "children": [{"translated_youtube_id": "CN-wjj_phVA", "relative_url": "/video/thomas-young-s-double-slit-experiment", "has_questions": false, "keywords": "double slit", "ka_url": "http://www.khanacademy.org/video/thomas-young-s-double-slit-experiment", "duration": 453, "translated_title": "Thomas Young's Double Slit Experiment", "translated_description_html": "Seeing light in a different way. Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1373629625", "description_html": "Seeing light in a different way. Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Thomas Young's Double Slit Experiment", "progress_key": "v1373629625", "edit_slug": "edit/v/1373629625", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Seeing light in a different way. Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/thomas-young-s-double-slit-experiment", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-12T20:10:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CN-wjj_phVA.mp4/CN-wjj_phVA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CN-wjj_phVA.mp4/CN-wjj_phVA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CN-wjj_phVA.m3u8/CN-wjj_phVA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CN-wjj_phVA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1373629625", "sha": "e6c5c1cb088a7107d14c552df9d543983a4f4159", "translated_description": "Seeing light in a different way. Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/CN-wjj_phVA/hqdefault.jpg", "youtube_id": "CN-wjj_phVA", "content_kind": "Video", "readable_id": "thomas-young-s-double-slit-experiment"}, {"translated_youtube_id": "uucYGK_Ymp0", "relative_url": "/video/newtons-prism-experiment", "has_questions": false, "keywords": "newton", "ka_url": "http://www.khanacademy.org/video/newtons-prism-experiment", "duration": 350, "translated_title": "Newton's Prism Experiment", "translated_description_html": "What color is white light? Want to know how to make it?", "id": "xd29a36c5", "description_html": "What color is white light? Want to know how to make it?", "title": "Newton's Prism Experiment", "progress_key": "vxd29a36c5", "edit_slug": "edit/v/xd29a36c5", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "What color is white light? Want to know how to make it?", "extra_properties": {"original_url": ""}, "node_slug": "v/newtons-prism-experiment", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-09T17:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uucYGK_Ymp0.mp4/uucYGK_Ymp0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uucYGK_Ymp0.mp4/uucYGK_Ymp0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uucYGK_Ymp0.m3u8/uucYGK_Ymp0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uucYGK_Ymp0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd29a36c5", "sha": "6ce3c9b27aff9b430acde5515c154a42a6d1d9d3", "translated_description": "What color is white light? Want to know how to make it?", "image_url": "https://img.youtube.com/vi/uucYGK_Ymp0/hqdefault.jpg", "youtube_id": "uucYGK_Ymp0", "content_kind": "Video", "readable_id": "newtons-prism-experiment"}, {"translated_youtube_id": "lBP7739C83s", "relative_url": "/video/bridge-design--and-destruction---part-1", "has_questions": false, "keywords": "bridges, design", "ka_url": "http://www.khanacademy.org/video/bridge-design--and-destruction---part-1", "duration": 309, "translated_title": "Bridge Design and Destruction! (part 1)", "translated_description_html": "This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions. Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1313147053", "description_html": "This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions. Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Bridge Design and Destruction! (part 1)", "progress_key": "v1313147053", "edit_slug": "edit/v/1313147053", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions. Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/bridge-design--and-destruction---part-1", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-22T21:41:24Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBP7739C83s.mp4/lBP7739C83s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lBP7739C83s.mp4/lBP7739C83s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBP7739C83s.m3u8/lBP7739C83s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lBP7739C83s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1313147053", "sha": "cf82412fc11a8490a31f7347a8fe604eb9b062a5", "translated_description": "This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions. Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/lBP7739C83s/hqdefault.jpg", "youtube_id": "lBP7739C83s", "content_kind": "Video", "readable_id": "bridge-design--and-destruction---part-1"}, {"translated_youtube_id": "KBOGRxV49MQ", "relative_url": "/video/bridge-design--and-destruction---part-2", "has_questions": false, "keywords": "bridges", "ka_url": "http://www.khanacademy.org/video/bridge-design--and-destruction---part-2", "duration": 271, "translated_title": "Bridge Design (and Destruction!) Part 2", "translated_description_html": "This is a two part video that introduces the different types of bridges.", "id": "1333125679", "description_html": "This is a two part video that introduces the different types of bridges.", "title": "Bridge Design (and Destruction!) Part 2", "progress_key": "v1333125679", "edit_slug": "edit/v/1333125679", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "This is a two part video that introduces the different types of bridges.", "extra_properties": {"original_url": ""}, "node_slug": "v/bridge-design--and-destruction---part-2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-01-29T22:52:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KBOGRxV49MQ.mp4/KBOGRxV49MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KBOGRxV49MQ.mp4/KBOGRxV49MQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KBOGRxV49MQ.m3u8/KBOGRxV49MQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KBOGRxV49MQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1333125679", "sha": "ba25e85fec77a1f7fa532eddf2e837ae6f8b2d46", "translated_description": "This is a two part video that introduces the different types of bridges.", "image_url": "https://img.youtube.com/vi/KBOGRxV49MQ/hqdefault.jpg", "youtube_id": "KBOGRxV49MQ", "content_kind": "Video", "readable_id": "bridge-design--and-destruction---part-2"}, {"translated_youtube_id": "KUSsRrOqynQ", "relative_url": "/video/shifts-in-equilibrium", "has_questions": false, "keywords": "equilibrium", "ka_url": "http://www.khanacademy.org/video/shifts-in-equilibrium", "duration": 246, "translated_title": "Shifts in Equilibrium", "translated_description_html": "Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1301173559", "description_html": "Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Shifts in Equilibrium", "progress_key": "v1301173559", "edit_slug": "edit/v/1301173559", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/shifts-in-equilibrium", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-17T21:28:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/KUSsRrOqynQ.mp4/KUSsRrOqynQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KUSsRrOqynQ.mp4/KUSsRrOqynQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KUSsRrOqynQ.m3u8/KUSsRrOqynQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=KUSsRrOqynQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1301173559", "sha": "d44bbb8c715ad86b1b86dab36f64bdd66d4e2d08", "translated_description": "Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/KUSsRrOqynQ/hqdefault.jpg", "youtube_id": "KUSsRrOqynQ", "content_kind": "Video", "readable_id": "shifts-in-equilibrium"}, {"translated_youtube_id": "rq55eXGVvis", "relative_url": "/video/the-marangoni-effect--how-to-make-a-soap-propelled-boat", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-marangoni-effect--how-to-make-a-soap-propelled-boat", "duration": 255, "translated_title": "The Marangoni Effect: How to make a soap propelled boat!", "translated_description_html": "The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the \"soap-powered boat\").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1283702578", "description_html": "The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the \"soap-powered boat\").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "The Marangoni Effect: How to make a soap propelled boat!", "progress_key": "v1283702578", "edit_slug": "edit/v/1283702578", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the \"soap-powered boat\").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/the-marangoni-effect--how-to-make-a-soap-propelled-boat", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-11T04:25:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rq55eXGVvis.mp4/rq55eXGVvis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rq55eXGVvis.mp4/rq55eXGVvis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rq55eXGVvis.m3u8/rq55eXGVvis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rq55eXGVvis&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1283702578", "sha": "bed9389563ffd73ec29aee276b3973591335e973", "translated_description": "The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the \"soap-powered boat\").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/rq55eXGVvis/hqdefault.jpg", "youtube_id": "rq55eXGVvis", "content_kind": "Video", "readable_id": "the-marangoni-effect--how-to-make-a-soap-propelled-boat"}, {"translated_youtube_id": "elBVeO71_jY", "relative_url": "/video/the-invention-of-the-battery", "has_questions": false, "keywords": "MIT, M.I.T., K-12, K12, engineering, teaching, learning, demo*, science, Chemistry, Physics", "ka_url": "http://www.khanacademy.org/video/the-invention-of-the-battery", "duration": 509, "translated_title": "The Invention of the Battery", "translated_description_html": "The invention of the battery with Alessandro Volta and Luigi Galvani", "id": "743224468", "description_html": "The invention of the battery with Alessandro Volta and Luigi Galvani", "title": "The Invention of the Battery", "progress_key": "v743224468", "edit_slug": "edit/v/743224468", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "The invention of the battery with Alessandro Volta and Luigi Galvani", "extra_properties": {"original_url": ""}, "node_slug": "v/the-invention-of-the-battery", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-04-24T23:08:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/elBVeO71_jY.mp4/elBVeO71_jY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/elBVeO71_jY.mp4/elBVeO71_jY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/elBVeO71_jY.m3u8/elBVeO71_jY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=elBVeO71_jY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v743224468", "sha": "ab021599caa5150f56577005a48ee052df5ccfbc", "translated_description": "The invention of the battery with Alessandro Volta and Luigi Galvani", "image_url": "https://img.youtube.com/vi/elBVeO71_jY/hqdefault.jpg", "youtube_id": "elBVeO71_jY", "content_kind": "Video", "readable_id": "the-invention-of-the-battery"}, {"translated_youtube_id": "aLJzEl5st8s", "relative_url": "/video/the-forces-on-an-airplane", "has_questions": false, "keywords": "MIT, M.I.T., K-12, K12, engineering, teaching, learning, demo*, science, lift, drag, airplane, Transportation, Physics", "ka_url": "http://www.khanacademy.org/video/the-forces-on-an-airplane", "duration": 512, "translated_title": "The Forces on an Airplane", "translated_description_html": "How do airplanes fly? It's not magic. Learn about the forces that help (and hinder) airplane flight.", "id": "743256207", "description_html": "How do airplanes fly? It's not magic. Learn about the forces that help (and hinder) airplane flight.", "title": "The Forces on an Airplane", "progress_key": "v743256207", "edit_slug": "edit/v/743256207", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How do airplanes fly? It's not magic. Learn about the forces that help (and hinder) airplane flight.", "extra_properties": {"original_url": ""}, "node_slug": "v/the-forces-on-an-airplane", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-24T23:09:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/aLJzEl5st8s.mp4/aLJzEl5st8s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aLJzEl5st8s.mp4/aLJzEl5st8s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aLJzEl5st8s.m3u8/aLJzEl5st8s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=aLJzEl5st8s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v743256207", "sha": "7efc02ac327040e5ffde00b971e4a8cdb636d02e", "translated_description": "How do airplanes fly? It's not magic. Learn about the forces that help (and hinder) airplane flight.", "image_url": "https://img.youtube.com/vi/aLJzEl5st8s/hqdefault.jpg", "youtube_id": "aLJzEl5st8s", "content_kind": "Video", "readable_id": "the-forces-on-an-airplane"}, {"translated_youtube_id": "PPJ0Khs7uWs", "relative_url": "/video/bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces", "has_questions": false, "keywords": "Chemistry, Engineering, MIT, M.I.T., K-12 (education), teaching, learning, demo*, science", "ka_url": "http://www.khanacademy.org/video/bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces", "duration": 497, "translated_title": "Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces", "translated_description_html": "This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", "id": "743261465", "description_html": "This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", "title": "Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces", "progress_key": "v743261465", "edit_slug": "edit/v/743261465", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", "extra_properties": {"original_url": ""}, "node_slug": "v/bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-24T23:12:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.m3u8/PPJ0Khs7uWs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PPJ0Khs7uWs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v743261465", "sha": "ab5f668c3be288d5f910f03c1d807cf7a2306211", "translated_description": "This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", "image_url": "https://img.youtube.com/vi/PPJ0Khs7uWs/hqdefault.jpg", "youtube_id": "PPJ0Khs7uWs", "content_kind": "Video", "readable_id": "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces"}, {"translated_youtube_id": "SbbBzV6pcFg", "relative_url": "/video/indoor-flying-robots", "has_questions": false, "keywords": "MIT, M.I.T., K-12, K12, engineering, teaching, learning, demo*, science, Physics, Transportation, K12 (Education)", "ka_url": "http://www.khanacademy.org/video/indoor-flying-robots", "duration": 337, "translated_title": "A Crash Course on Indoor Flying Robots", "translated_description_html": "Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.", "id": "743195401", "description_html": "Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.", "title": "A Crash Course on Indoor Flying Robots", "progress_key": "v743195401", "edit_slug": "edit/v/743195401", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.", "extra_properties": {"original_url": ""}, "node_slug": "v/indoor-flying-robots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-04-24T22:59:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SbbBzV6pcFg.mp4/SbbBzV6pcFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SbbBzV6pcFg.mp4/SbbBzV6pcFg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SbbBzV6pcFg.m3u8/SbbBzV6pcFg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SbbBzV6pcFg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v743195401", "sha": "71e8760995897dc18f7c5f4f4c2bf91c752ad5cf", "translated_description": "Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.", "image_url": "https://img.youtube.com/vi/SbbBzV6pcFg/hqdefault.jpg", "youtube_id": "SbbBzV6pcFg", "content_kind": "Video", "readable_id": "indoor-flying-robots"}, {"translated_youtube_id": "oahoaGC8Jfc", "relative_url": "/video/heat-transfer", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/heat-transfer", "duration": 354, "translated_title": "Heat Transfer", "translated_description_html": "Understanding conductive, convective, and radiative heat transfer using a thermal camera.", "id": "xd1dcfaa2", "description_html": "Understanding conductive, convective, and radiative heat transfer using a thermal camera.", "title": "Heat Transfer", "progress_key": "vxd1dcfaa2", "edit_slug": "edit/v/xd1dcfaa2", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Understanding conductive, convective, and radiative heat transfer using a thermal camera.", "extra_properties": {"original_url": ""}, "node_slug": "v/heat-transfer", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-07-09T17:48:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oahoaGC8Jfc.mp4/oahoaGC8Jfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oahoaGC8Jfc.mp4/oahoaGC8Jfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oahoaGC8Jfc.m3u8/oahoaGC8Jfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oahoaGC8Jfc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd1dcfaa2", "sha": "01ce0888d90e162240a10f431810564865b58d78", "translated_description": "Understanding conductive, convective, and radiative heat transfer using a thermal camera.", "image_url": "https://img.youtube.com/vi/oahoaGC8Jfc/hqdefault.jpg", "youtube_id": "oahoaGC8Jfc", "content_kind": "Video", "readable_id": "heat-transfer"}], "twitter_url": "", "translated_description": "Watch fun, educational videos on all sorts of Physics questions.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Watch fun, educational videos on all sorts of Physics questions.", "x_pos": 0.0, "node_slug": "mit-k12-physics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T01:05:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe6db396b", "topic_page_url": "/partner-content/mit-k12/mit-k12-physics", "extended_slug": "partner-content/mit-k12/mit-k12-physics", "slug": "mit-k12-physics", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "879ffae270c35b32424659e6a5f055b9edcea65b", "standalone_title": "Physics", "y_pos": 0.0, "current_revision_key": "879ffae270c35b32424659e6a5f055b9edcea65b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/mit-k12/mit-k12-biology", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/mit-k12/mit-k12-biology", "translated_standalone_title": "Natural Science", "translated_title": "Natural Science", "gplus_url": "", "id": "xc8234785", "old_key_name": "iqBvQXB8yL1JEkEEWNnHL406UCc66d4hzPi7coUX", "hide": false, "title": "Natural Science", "child_data": [{"kind": "Video", "id": "x6716aea9"}, {"kind": "Video", "id": 1262562541}, {"kind": "Video", "id": 743300038}, {"kind": "Video", "id": "xb24a2f19"}, {"kind": "Video", "id": "x1ef32e09"}], "children": [{"translated_youtube_id": "QXMTzXaWJyk", "relative_url": "/video/a-million-sharks", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/a-million-sharks", "duration": 313, "translated_title": "The food chain", "translated_description_html": "


<\/p>", "id": "x6716aea9", "description_html": "


<\/p>", "title": "The food chain", "progress_key": "vx6716aea9", "edit_slug": "edit/v/x6716aea9", "author_names": ["MIT+K12"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/a-million-sharks", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-09-25T13:29:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QXMTzXaWJyk.mp4/QXMTzXaWJyk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QXMTzXaWJyk.mp4/QXMTzXaWJyk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QXMTzXaWJyk.m3u8/QXMTzXaWJyk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QXMTzXaWJyk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6716aea9", "sha": "8f483a0a1fa930df6017217f2594a39477341244", "translated_description": "", "image_url": "https://img.youtube.com/vi/QXMTzXaWJyk/hqdefault.jpg", "youtube_id": "QXMTzXaWJyk", "content_kind": "Video", "readable_id": "a-million-sharks"}, {"translated_youtube_id": "rSBbnHLR_cg", "relative_url": "/video/homeostasis", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/homeostasis", "duration": 220, "translated_title": "Homeostasis", "translated_description_html": "


<\/p>", "id": "1262562541", "description_html": "


<\/p>", "title": "Homeostasis", "progress_key": "v1262562541", "edit_slug": "edit/v/1262562541", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/homeostasis", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2013-01-03T00:48:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rSBbnHLR_cg.mp4/rSBbnHLR_cg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rSBbnHLR_cg.mp4/rSBbnHLR_cg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rSBbnHLR_cg.m3u8/rSBbnHLR_cg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rSBbnHLR_cg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1262562541", "sha": "014df5d884b385cc5954d0ec5a6066faedd23de4", "translated_description": "", "image_url": "https://img.youtube.com/vi/rSBbnHLR_cg/hqdefault.jpg", "youtube_id": "rSBbnHLR_cg", "content_kind": "Video", "readable_id": "homeostasis"}, {"translated_youtube_id": "pvEfyJc4QPA", "relative_url": "/video/bread-mold-kills-bacteria", "has_questions": false, "keywords": "penicilin, mold, bacteria, biology, k-12 (education)", "ka_url": "http://www.khanacademy.org/video/bread-mold-kills-bacteria", "duration": 183, "translated_title": "Bread mold kills bacteria", "translated_description_html": "

How the penicillin in bread mold kills bacteria.<\/p>\n", "id": "743300038", "description_html": "

How the penicillin in bread mold kills bacteria.<\/p>\n", "title": "Bread mold kills bacteria", "progress_key": "v743300038", "edit_slug": "edit/v/743300038", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How the penicillin in bread mold kills bacteria.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/bread-mold-kills-bacteria", "deleted": false, "backup_timestamp": "2013-09-25T13:46:31Z", "date_added": "2012-04-24T23:11:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pvEfyJc4QPA.mp4/pvEfyJc4QPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pvEfyJc4QPA.mp4/pvEfyJc4QPA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pvEfyJc4QPA.m3u8/pvEfyJc4QPA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pvEfyJc4QPA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v743300038", "sha": "f8d50a686a253ec0bac41d2dd54b48e6f653132b", "translated_description": "How the penicillin in bread mold kills bacteria.\n", "image_url": "https://img.youtube.com/vi/pvEfyJc4QPA/hqdefault.jpg", "youtube_id": "pvEfyJc4QPA", "content_kind": "Video", "readable_id": "bread-mold-kills-bacteria"}, {"translated_youtube_id": "wK-SQD3fhrI", "relative_url": "/video/glaciers-with-chocolate", "has_questions": false, "keywords": "glacier", "ka_url": "http://www.khanacademy.org/video/glaciers-with-chocolate", "duration": 353, "translated_title": "Glaciers with chocolate", "translated_description_html": "

Did you know that glaciers hold nearly 2% of Earth's water?<\/p>\n", "id": "xb24a2f19", "description_html": "

Did you know that glaciers hold nearly 2% of Earth's water?<\/p>\n", "title": "Glaciers with chocolate", "progress_key": "vxb24a2f19", "edit_slug": "edit/v/xb24a2f19", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Did you know that glaciers hold nearly 2% of Earth's water?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/glaciers-with-chocolate", "deleted": false, "backup_timestamp": "2013-09-25T13:46:31Z", "date_added": "2013-07-10T12:41:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wK-SQD3fhrI.mp4/wK-SQD3fhrI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wK-SQD3fhrI.mp4/wK-SQD3fhrI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wK-SQD3fhrI.m3u8/wK-SQD3fhrI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wK-SQD3fhrI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb24a2f19", "sha": "63946e10eae53a55d8f57a956b8caec7411a3311", "translated_description": "Did you know that glaciers hold nearly 2% of Earth's water?\n", "image_url": "https://img.youtube.com/vi/wK-SQD3fhrI/hqdefault.jpg", "youtube_id": "wK-SQD3fhrI", "content_kind": "Video", "readable_id": "glaciers-with-chocolate"}, {"translated_youtube_id": "pm6cCg_Do6k", "relative_url": "/video/rock-cycle", "has_questions": false, "keywords": "rocks", "ka_url": "http://www.khanacademy.org/video/rock-cycle", "duration": 272, "translated_title": "Rock cycle", "translated_description_html": "

We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.<\/p>\n", "id": "x1ef32e09", "description_html": "

We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.<\/p>\n", "title": "Rock cycle", "progress_key": "vx1ef32e09", "edit_slug": "edit/v/x1ef32e09", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/rock-cycle", "deleted": false, "backup_timestamp": "2013-09-25T13:46:31Z", "date_added": "2013-07-10T12:32:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pm6cCg_Do6k.mp4/pm6cCg_Do6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pm6cCg_Do6k.mp4/pm6cCg_Do6k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pm6cCg_Do6k.m3u8/pm6cCg_Do6k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pm6cCg_Do6k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1ef32e09", "sha": "48691bdfcec391e82355e80a76c7ee8fc2c5b6c4", "translated_description": "We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.\n", "image_url": "https://img.youtube.com/vi/pm6cCg_Do6k/hqdefault.jpg", "youtube_id": "pm6cCg_Do6k", "content_kind": "Video", "readable_id": "rock-cycle"}], "twitter_url": "", "translated_description": "What makes living (and nonliving) things tick?", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "What makes living (and nonliving) things tick?", "x_pos": 0.0, "node_slug": "mit-k12-biology", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-25T13:31:42Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc8234785", "topic_page_url": "/partner-content/mit-k12/mit-k12-biology", "extended_slug": "partner-content/mit-k12/mit-k12-biology", "slug": "mit-k12-biology", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3b367ae63109475329c8cff9aa4036f4e90a1e4a", "standalone_title": "Natural Science", "y_pos": 0.0, "current_revision_key": "3b367ae63109475329c8cff9aa4036f4e90a1e4a", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/mit-k12/mit-k12-materials", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/mit-k12/mit-k12-materials", "translated_standalone_title": "Materials", "translated_title": "Materials", "gplus_url": "", "id": "xb792ad99", "old_key_name": "6SmDWOTACuzZ8hc0Bkbkny9ZXfaUOuc6QmGJOzXI", "hide": false, "title": "Materials", "child_data": [{"kind": "Video", "id": "x3ee8f1b1"}, {"kind": "Video", "id": "x437e06c5"}, {"kind": "Video", "id": 742867528}, {"kind": "Video", "id": 1373549564}], "children": [{"translated_youtube_id": "FsS0nLKoaoo", "relative_url": "/video/atoms-and-molecules", "has_questions": false, "keywords": "atoms", "ka_url": "http://www.khanacademy.org/video/atoms-and-molecules", "duration": 276, "translated_title": "Whats all the matter? Atoms and Molecules", "translated_description_html": "Atoms, elements and molecules. Understanding the building blocks of matter.", "id": "x3ee8f1b1", "description_html": "Atoms, elements and molecules. Understanding the building blocks of matter.", "title": "Whats all the matter? Atoms and Molecules", "progress_key": "vx3ee8f1b1", "edit_slug": "edit/v/x3ee8f1b1", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Atoms, elements and molecules. Understanding the building blocks of matter.", "extra_properties": {"original_url": ""}, "node_slug": "v/atoms-and-molecules", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-09T17:48:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FsS0nLKoaoo.mp4/FsS0nLKoaoo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FsS0nLKoaoo.mp4/FsS0nLKoaoo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FsS0nLKoaoo.m3u8/FsS0nLKoaoo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FsS0nLKoaoo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3ee8f1b1", "sha": "f5a1a4ea99b3e10a2fbae65c35dcf26ba9286e46", "translated_description": "Atoms, elements and molecules. Understanding the building blocks of matter.", "image_url": "https://img.youtube.com/vi/FsS0nLKoaoo/hqdefault.jpg", "youtube_id": "FsS0nLKoaoo", "content_kind": "Video", "readable_id": "atoms-and-molecules"}, {"translated_youtube_id": "9-u4zP5s9is", "relative_url": "/video/what-is-soap", "has_questions": false, "keywords": "soap", "ka_url": "http://www.khanacademy.org/video/what-is-soap", "duration": 312, "translated_title": "What is Soap?", "translated_description_html": "Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can't do the job?", "id": "x437e06c5", "description_html": "Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can't do the job?", "title": "What is Soap?", "progress_key": "vx437e06c5", "edit_slug": "edit/v/x437e06c5", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can't do the job?", "extra_properties": {"original_url": ""}, "node_slug": "v/what-is-soap", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-09T17:54:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9-u4zP5s9is.mp4/9-u4zP5s9is.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9-u4zP5s9is.mp4/9-u4zP5s9is.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9-u4zP5s9is.m3u8/9-u4zP5s9is.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9-u4zP5s9is&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx437e06c5", "sha": "9a42742a6da14feb758eb420ddb13543c642f6b9", "translated_description": "Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can't do the job?", "image_url": "https://img.youtube.com/vi/9-u4zP5s9is/hqdefault.jpg", "youtube_id": "9-u4zP5s9is", "content_kind": "Video", "readable_id": "what-is-soap"}, {"translated_youtube_id": "5uuQ77vAV_U", "relative_url": "/video/flocculation", "has_questions": false, "keywords": "MIT, M.I.T., K-12, K12, engineering, teaching, learning, demo*, science, flocculation, Physics, Chemistry", "ka_url": "http://www.khanacademy.org/video/flocculation", "duration": 335, "translated_title": "Flocculation: Making Clean Water", "translated_description_html": "Making clean and tasty water with cool science!", "id": "742867528", "description_html": "Making clean and tasty water with cool science!", "title": "Flocculation: Making Clean Water", "progress_key": "v742867528", "edit_slug": "edit/v/742867528", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Making clean and tasty water with cool science!", "extra_properties": {"original_url": ""}, "node_slug": "v/flocculation", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-04-24T23:09:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/5uuQ77vAV_U.mp4/5uuQ77vAV_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5uuQ77vAV_U.mp4/5uuQ77vAV_U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5uuQ77vAV_U.m3u8/5uuQ77vAV_U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=5uuQ77vAV_U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v742867528", "sha": "66d60941bb693acc87b26de70340ee555ff478b5", "translated_description": "Making clean and tasty water with cool science!", "image_url": "https://img.youtube.com/vi/5uuQ77vAV_U/hqdefault.jpg", "youtube_id": "5uuQ77vAV_U", "content_kind": "Video", "readable_id": "flocculation"}, {"translated_youtube_id": "lHarVgx1RkY", "relative_url": "/video/manufacturing-processes--hands-on-to-hands-off", "has_questions": false, "keywords": "manufacturing", "ka_url": "http://www.khanacademy.org/video/manufacturing-processes--hands-on-to-hands-off", "duration": 297, "translated_title": "Manufacturing Processes: Hands On to Hands Off", "translated_description_html": "Ever wonder what methods you can use to make something? From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.", "id": "1373549564", "description_html": "Ever wonder what methods you can use to make something? From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.", "title": "Manufacturing Processes: Hands On to Hands Off", "progress_key": "v1373549564", "edit_slug": "edit/v/1373549564", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Ever wonder what methods you can use to make something? From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.", "extra_properties": {"original_url": ""}, "node_slug": "v/manufacturing-processes--hands-on-to-hands-off", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-02-12T20:08:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lHarVgx1RkY.mp4/lHarVgx1RkY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lHarVgx1RkY.mp4/lHarVgx1RkY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lHarVgx1RkY.m3u8/lHarVgx1RkY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lHarVgx1RkY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1373549564", "sha": "a2c1023bfebab4466d4ec9b6010518a93de75264", "translated_description": "Ever wonder what methods you can use to make something? From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.", "image_url": "https://img.youtube.com/vi/lHarVgx1RkY/hqdefault.jpg", "youtube_id": "lHarVgx1RkY", "content_kind": "Video", "readable_id": "manufacturing-processes--hands-on-to-hands-off"}], "twitter_url": "", "translated_description": "Watch fun, educational videos on all sorts of Materials, how they're created and what they can do.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Watch fun, educational videos on all sorts of Materials, how they're created and what they can do.", "x_pos": 0.0, "node_slug": "mit-k12-materials", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T01:05:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb792ad99", "topic_page_url": "/partner-content/mit-k12/mit-k12-materials", "extended_slug": "partner-content/mit-k12/mit-k12-materials", "slug": "mit-k12-materials", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "02fc375eda222994d7f7f94beb826625c7499d1c", "standalone_title": "Materials", "y_pos": 0.0, "current_revision_key": "02fc375eda222994d7f7f94beb826625c7499d1c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/mit-k12/mit-k12-measurement", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/mit-k12/mit-k12-measurement", "translated_standalone_title": "Measurement", "translated_title": "Measurement", "gplus_url": "", "id": "x7ef4dc89", "old_key_name": "yrVY1KEvrlyMIi3tGy1vPPZk49Q9K2q5HSgl2ARV", "hide": false, "title": "Measurement", "child_data": [{"kind": "Video", "id": 1373748159}, {"kind": "Video", "id": 1262647415}, {"kind": "Video", "id": 1262620840}, {"kind": "Video", "id": 1299293602}], "children": [{"translated_youtube_id": "TvPsESzCYis", "relative_url": "/video/under-pressure", "has_questions": false, "keywords": "pressure", "ka_url": "http://www.khanacademy.org/video/under-pressure", "duration": 399, "translated_title": "Under Pressure", "translated_description_html": "In this video we replicate Pascal's famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1373748159", "description_html": "In this video we replicate Pascal's famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Under Pressure", "progress_key": "v1373748159", "edit_slug": "edit/v/1373748159", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In this video we replicate Pascal's famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/under-pressure", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-12T20:07:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvPsESzCYis.mp4/TvPsESzCYis.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvPsESzCYis.mp4/TvPsESzCYis.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TvPsESzCYis.m3u8/TvPsESzCYis.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TvPsESzCYis&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1373748159", "sha": "1ba14dec1bb0e0509a2ba8acbaac1248fbce3c9a", "translated_description": "In this video we replicate Pascal's famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/TvPsESzCYis/hqdefault.jpg", "youtube_id": "TvPsESzCYis", "content_kind": "Video", "readable_id": "under-pressure"}, {"translated_youtube_id": "Pgq0LThW7QA", "relative_url": "/video/earth-s-tilt-1--the-reason-for-the-seasons", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/earth-s-tilt-1--the-reason-for-the-seasons", "duration": 339, "translated_title": "Earth's Tilt 1: The Reason for the Seasons", "translated_description_html": "How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1262647415", "description_html": "How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Earth's Tilt 1: The Reason for the Seasons", "progress_key": "v1262647415", "edit_slug": "edit/v/1262647415", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/earth-s-tilt-1--the-reason-for-the-seasons", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-01-03T00:46:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.mp4/Pgq0LThW7QA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.mp4/Pgq0LThW7QA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.m3u8/Pgq0LThW7QA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pgq0LThW7QA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1262647415", "sha": "7fc0517f0a050903e5b593eadd8d31e9b903d39f", "translated_description": "How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/Pgq0LThW7QA/hqdefault.jpg", "youtube_id": "Pgq0LThW7QA", "content_kind": "Video", "readable_id": "earth-s-tilt-1--the-reason-for-the-seasons"}, {"translated_youtube_id": "eUsWUiVCq5U", "relative_url": "/video/earth-s-tilt-2--land-of-the-midnight-sun", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/earth-s-tilt-2--land-of-the-midnight-sun", "duration": 359, "translated_title": "Earth's Tilt 2: Land of the Midnight Sun", "translated_description_html": "How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "id": "1262620840", "description_html": "How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "title": "Earth's Tilt 2: Land of the Midnight Sun", "progress_key": "v1262620840", "edit_slug": "edit/v/1262620840", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "extra_properties": {"original_url": ""}, "node_slug": "v/earth-s-tilt-2--land-of-the-midnight-sun", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-03T00:47:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eUsWUiVCq5U.mp4/eUsWUiVCq5U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eUsWUiVCq5U.mp4/eUsWUiVCq5U.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eUsWUiVCq5U.m3u8/eUsWUiVCq5U.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eUsWUiVCq5U&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1262620840", "sha": "8b67c9e20bda2400db2c9d9563919ca56447813c", "translated_description": "How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", "image_url": "https://img.youtube.com/vi/eUsWUiVCq5U/hqdefault.jpg", "youtube_id": "eUsWUiVCq5U", "content_kind": "Video", "readable_id": "earth-s-tilt-2--land-of-the-midnight-sun"}, {"translated_youtube_id": "Gy_7ZMdpNy0", "relative_url": "/video/2d-equilibrium----balancing-games", "has_questions": false, "keywords": "equilibrium", "ka_url": "http://www.khanacademy.org/video/2d-equilibrium----balancing-games", "duration": 262, "translated_title": "2D Equilibrium -- Balancing Games", "translated_description_html": "How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life.", "id": "1299293602", "description_html": "How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life.", "title": "2D Equilibrium -- Balancing Games", "progress_key": "v1299293602", "edit_slug": "edit/v/1299293602", "author_names": ["MIT+K12"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life.", "extra_properties": {"original_url": ""}, "node_slug": "v/2d-equilibrium----balancing-games", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-17T04:32:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gy_7ZMdpNy0.mp4/Gy_7ZMdpNy0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gy_7ZMdpNy0.mp4/Gy_7ZMdpNy0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gy_7ZMdpNy0.m3u8/Gy_7ZMdpNy0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Gy_7ZMdpNy0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1299293602", "sha": "1708da15c863c1f8dd559f31788c014fdf9fd9e1", "translated_description": "How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life.", "image_url": "https://img.youtube.com/vi/Gy_7ZMdpNy0/hqdefault.jpg", "youtube_id": "Gy_7ZMdpNy0", "content_kind": "Video", "readable_id": "2d-equilibrium----balancing-games"}], "twitter_url": "", "translated_description": "Everything in the universe can be measured.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Everything in the universe can be measured.", "x_pos": 0.0, "node_slug": "mit-k12-measurement", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-09T01:05:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7ef4dc89", "topic_page_url": "/partner-content/mit-k12/mit-k12-measurement", "extended_slug": "partner-content/mit-k12/mit-k12-measurement", "slug": "mit-k12-measurement", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "845ca7bbc613733bb26bcbf4924d9774d377e010", "standalone_title": "Measurement", "y_pos": 0.0, "current_revision_key": "845ca7bbc613733bb26bcbf4924d9774d377e010", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "MIT+K12 is collaborating with Khan Academy to provide experiential materials to complement their virtual offerings.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "MIT+K12 is collaborating with Khan Academy to provide experiential materials to complement their virtual offerings.", "x_pos": 0.0, "node_slug": "mit-k12", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:15Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf3c15d4e", "topic_page_url": "/partner-content/mit-k12", "extended_slug": "partner-content/mit-k12", "slug": "mit-k12", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "4d64679e29d7abf551ea638185777966ce08ede2", "standalone_title": "MIT+K12", "y_pos": 0.0, "current_revision_key": "4d64679e29d7abf551ea638185777966ce08ede2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa", "web_url": "http://www.nasa.gov", "ka_url": "http://www.khanacademy.org/partner-content/nasa", "translated_standalone_title": "NASA", "translated_title": "NASA", "gplus_url": "https://plus.google.com/+NASA", "id": "x1b441846", "old_key_name": null, "hide": false, "title": "NASA", "child_data": [{"kind": "Topic", "id": "x0b57fb25"}, {"kind": "Topic", "id": "xabe6c929"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/measuringuniverse", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/measuringuniverse", "translated_standalone_title": "Measuring the Universe", "translated_title": "Measuring the Universe", "gplus_url": "", "id": "x0b57fb25", "old_key_name": null, "hide": false, "title": "Measuring the Universe", "child_data": [{"kind": "Topic", "id": "x2c0281d9"}, {"kind": "Topic", "id": "x45352af5"}, {"kind": "Topic", "id": "x8ed3ba1e"}, {"kind": "Topic", "id": "x5eee2885"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/measuringuniverse/spacemath1", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/measuringuniverse/spacemath1", "translated_standalone_title": "Modelling the solar system", "translated_title": "Modelling the solar system", "gplus_url": "", "id": "x2c0281d9", "old_key_name": null, "hide": false, "title": "Modelling the solar system", "child_data": [{"kind": "Article", "id": "xe381c886"}, {"kind": "Scratchpad", "id": 2156500698}, {"kind": "Article", "id": "x216e4a8b"}, {"kind": "Article", "id": "xfc920971"}, {"kind": "Scratchpad", "id": 5218123607179264}, {"kind": "Video", "id": "xc954f3ea"}, {"kind": "Video", "id": "x8f97ca11"}, {"kind": "Scratchpad", "id": 1486460294}, {"kind": "Article", "id": "x799c2466"}, {"kind": "Scratchpad", "id": 1946032261}, {"kind": "Exercise", "id": "xc4e55acf"}], "children": [{"translated_youtube_id": "-DlCeZw9RFw", "relative_url": "/video/conjunctions", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/conjunctions", "duration": 186, "translated_title": "Conjunctions", "translated_description_html": "

The three brightest planets in this month's night sky are lining up for a beautiful sunset conjunction at the end of May.  
<\/p>", "id": "xc954f3ea", "description_html": "

The three brightest planets in this month's night sky are lining up for a beautiful sunset conjunction at the end of May.  
<\/p>", "title": "Conjunctions", "progress_key": "vxc954f3ea", "edit_slug": "edit/v/xc954f3ea", "author_names": [], "deleted_mod_time": null, "description": "The three brightest planets in this month's night sky are lining up for a beautiful sunset conjunction at the end of May.   ", "extra_properties": {}, "node_slug": "v/conjunctions", "deleted": false, "backup_timestamp": "2013-11-11T03:45:07Z", "date_added": "2013-11-11T03:45:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-DlCeZw9RFw.mp4/-DlCeZw9RFw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-DlCeZw9RFw.mp4/-DlCeZw9RFw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-DlCeZw9RFw.m3u8/-DlCeZw9RFw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-DlCeZw9RFw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc954f3ea", "sha": "afa1e1978045ad7674928bede29b277332ee2efc", "translated_description": "The three brightest planets in this month's night sky are lining up for a beautiful sunset conjunction at the end of May.   ", "image_url": "https://img.youtube.com/vi/-DlCeZw9RFw/hqdefault.jpg", "youtube_id": "-DlCeZw9RFw", "content_kind": "Video", "readable_id": "conjunctions"}, {"translated_youtube_id": "wuhNZejHeBg", "relative_url": "/video/lunareclipse", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/lunareclipse", "duration": 107, "translated_title": "Lunar eclipse", "translated_description_html": "

When the moon passes through the Earth's shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year.
<\/p>", "id": "x8f97ca11", "description_html": "

When the moon passes through the Earth's shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year.
<\/p>", "title": "Lunar eclipse", "progress_key": "vx8f97ca11", "edit_slug": "edit/v/x8f97ca11", "author_names": [], "deleted_mod_time": null, "description": "When the moon passes through the Earth's shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year. ", "extra_properties": {}, "node_slug": "v/lunareclipse", "deleted": false, "backup_timestamp": "2013-11-11T03:45:07Z", "date_added": "2013-11-11T03:45:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wuhNZejHeBg.mp4/wuhNZejHeBg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wuhNZejHeBg.mp4/wuhNZejHeBg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wuhNZejHeBg.m3u8/wuhNZejHeBg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wuhNZejHeBg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8f97ca11", "sha": "ed795f8ec9f2683893720372cd2e01d0588bf8c5", "translated_description": "When the moon passes through the Earth's shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year. ", "image_url": "https://img.youtube.com/vi/wuhNZejHeBg/hqdefault.jpg", "youtube_id": "wuhNZejHeBg", "content_kind": "Video", "readable_id": "lunareclipse"}], "twitter_url": "", "translated_description": "Astronomy begins when we look up and start asking questions. Where are we? How big is the earth? This lesson is for all ages, start here!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Astronomy begins when we look up and start asking questions. Where are we? How big is the earth? This lesson is for all ages, start here!", "x_pos": 0.0, "node_slug": "spacemath1", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-11T03:45:07Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2c0281d9", "topic_page_url": "/partner-content/nasa/measuringuniverse/spacemath1", "extended_slug": "partner-content/nasa/measuringuniverse/spacemath1", "slug": "spacemath1", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ebf1de945bdfe8bef0341b3395cc239279dc8ffc", "standalone_title": "Modelling the solar system", "y_pos": 0.0, "current_revision_key": "ebf1de945bdfe8bef0341b3395cc239279dc8ffc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/measuringuniverse/measure_the_solarsystem", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/measuringuniverse/measure_the_solarsystem", "translated_standalone_title": "Measuring the solar system", "translated_title": "Measuring the solar system", "gplus_url": "", "id": "x45352af5", "old_key_name": null, "hide": false, "title": "Measuring the solar system", "child_data": [{"kind": "Article", "id": "x40113e8c"}, {"kind": "Scratchpad", "id": 1870897864}, {"kind": "Exercise", "id": 899036662}, {"kind": "Video", "id": "xcbbafdfa"}, {"kind": "Article", "id": "xfb176b82"}, {"kind": "Exercise", "id": "x8fd83a93"}, {"kind": "Article", "id": "xbf1564d4"}, {"kind": "Article", "id": "x2bf08af0"}, {"kind": "Exercise", "id": "xe16125c8"}, {"kind": "Exercise", "id": 592471461}, {"kind": "Article", "id": "x53199d8c"}, {"kind": "Exercise", "id": "x31ff13bf"}, {"kind": "Article", "id": "x5aefc41c"}, {"kind": "Scratchpad", "id": 5045666778710016}, {"kind": "Article", "id": "xcce95a0d"}, {"kind": "Exercise", "id": "x8f4dd37d"}, {"kind": "Article", "id": "x17fdd7ef"}, {"kind": "Exercise", "id": 729523853}, {"kind": "Article", "id": "xd6bb16ec"}, {"kind": "Video", "id": 8187269}], "children": [{"translated_youtube_id": "rIF6Vj6pVNg", "relative_url": "/video/eratosthenes_measures_earth", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/eratosthenes_measures_earth", "duration": 449, "translated_title": "Circumference of Earth", "translated_description_html": "", "id": "xcbbafdfa", "description_html": "", "title": "Circumference of Earth", "progress_key": "vxcbbafdfa", "edit_slug": "edit/v/xcbbafdfa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/eratosthenes_measures_earth", "deleted": false, "backup_timestamp": "2013-11-11T03:45:07Z", "date_added": "2013-11-11T03:45:07Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rIF6Vj6pVNg.mp4/rIF6Vj6pVNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rIF6Vj6pVNg.mp4/rIF6Vj6pVNg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rIF6Vj6pVNg.m3u8/rIF6Vj6pVNg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rIF6Vj6pVNg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxcbbafdfa", "sha": "3f02f409969d47e3d317f751b0b847ba8f8f5c7e", "translated_description": "", "image_url": "https://img.youtube.com/vi/rIF6Vj6pVNg/hqdefault.jpg", "youtube_id": "rIF6Vj6pVNg", "content_kind": "Video", "readable_id": "eratosthenes_measures_earth"}, {"translated_youtube_id": "GP53b__h4ew", "relative_url": "/video/scale-of-solar-system", "has_questions": false, "keywords": "Scale, of, Solar, System, big, history, cosmology, astronomy", "ka_url": "http://www.khanacademy.org/video/scale-of-solar-system", "duration": 751, "translated_title": "Scale of solar system", "translated_description_html": "Scale of Solar System", "id": "8187269", "description_html": "Scale of Solar System", "title": "Scale of solar system", "progress_key": "v8187269", "edit_slug": "edit/v/8187269", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Scale of Solar System", "extra_properties": null, "node_slug": "v/scale-of-solar-system", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:37:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.mp4/GP53b__h4ew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.mp4/GP53b__h4ew.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GP53b__h4ew.m3u8/GP53b__h4ew.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=GP53b__h4ew&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v8187269", "sha": "8134ad9f155b3cf8d8c9fdd0cf53460413ce10dd", "translated_description": "Scale of Solar System", "image_url": "https://img.youtube.com/vi/GP53b__h4ew/hqdefault.jpg", "youtube_id": "GP53b__h4ew", "content_kind": "Video", "readable_id": "scale-of-solar-system"}], "twitter_url": "", "translated_description": "How can we apply geometry and trigonometry in order to measure the size of the earth, moon and sun?", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How can we apply geometry and trigonometry in order to measure the size of the earth, moon and sun?", "x_pos": 0.0, "node_slug": "measure_the_solarsystem", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-11T03:45:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax45352af5", "topic_page_url": "/partner-content/nasa/measuringuniverse/measure_the_solarsystem", "extended_slug": "partner-content/nasa/measuringuniverse/measure_the_solarsystem", "slug": "measure_the_solarsystem", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7c72112da8419779d80f8c9580e5c807eafbbd86", "standalone_title": "Measuring the solar system", "y_pos": 0.0, "current_revision_key": "7c72112da8419779d80f8c9580e5c807eafbbd86", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/measuringuniverse/orbital-mechanics", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/measuringuniverse/orbital-mechanics", "translated_standalone_title": "Orbital mechanics 1", "translated_title": "Orbital mechanics 1", "gplus_url": "", "id": "x8ed3ba1e", "old_key_name": null, "hide": false, "title": "Orbital mechanics 1", "child_data": [{"kind": "Article", "id": "xd1f8af4d"}, {"kind": "Scratchpad", "id": 1865375233}, {"kind": "Article", "id": "x6362146d"}, {"kind": "Scratchpad", "id": 2366238770}, {"kind": "Exercise", "id": "x6db5022d"}, {"kind": "Article", "id": "xa9da7de1"}, {"kind": "Scratchpad", "id": 1969683682}, {"kind": "Article", "id": "x1ed7ecf5"}, {"kind": "Video", "id": 23526}, {"kind": "Exercise", "id": 213284163}, {"kind": "Scratchpad", "id": 2645257771}], "children": [{"translated_youtube_id": "lvAYFUIEpFI", "relative_url": "/video/conic-sections--intro-to-ellipses", "has_questions": false, "keywords": "ellipse, conic, section", "ka_url": "http://www.khanacademy.org/video/conic-sections--intro-to-ellipses", "duration": 854, "translated_title": "Conic sections: Intro to ellipses", "translated_description_html": "Introduction to the ellipse.", "id": "23526", "description_html": "Introduction to the ellipse.", "title": "Conic sections: Intro to ellipses", "progress_key": "v23526", "edit_slug": "edit/v/23526", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Introduction to the ellipse.", "extra_properties": null, "node_slug": "v/conic-sections--intro-to-ellipses", "deleted": false, "backup_timestamp": "2013-10-03T02:33:29Z", "date_added": "2011-02-20T16:27:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lvAYFUIEpFI.m3u8/lvAYFUIEpFI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lvAYFUIEpFI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23526", "sha": "70e839103c700734e26c1e47a9b5b4b97dbf3c01", "translated_description": "Introduction to the ellipse.", "image_url": "https://img.youtube.com/vi/lvAYFUIEpFI/hqdefault.jpg", "youtube_id": "lvAYFUIEpFI", "content_kind": "Video", "readable_id": "conic-sections--intro-to-ellipses"}], "twitter_url": "", "translated_description": "How do planets move? An introduction to orbital mechanics and the work of Johannes Kepler.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How do planets move? An introduction to orbital mechanics and the work of Johannes Kepler.", "x_pos": 0.0, "node_slug": "orbital-mechanics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-11T19:44:20Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8ed3ba1e", "topic_page_url": "/partner-content/nasa/measuringuniverse/orbital-mechanics", "extended_slug": "partner-content/nasa/measuringuniverse/orbital-mechanics", "slug": "orbital-mechanics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6bba799bda54c89ea106f70bd0e5c6ab966d0989", "standalone_title": "Orbital mechanics 1", "y_pos": 0.0, "current_revision_key": "6bba799bda54c89ea106f70bd0e5c6ab966d0989", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/measuringuniverse/spectroscopy", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/measuringuniverse/spectroscopy", "translated_standalone_title": "Spectroscopy", "translated_title": "Spectroscopy", "gplus_url": "", "id": "x5eee2885", "old_key_name": null, "hide": false, "title": "Spectroscopy", "child_data": [{"kind": "Article", "id": "x631ab5fd"}, {"kind": "Video", "id": 148049940}, {"kind": "Video", "id": "xa4fb6947"}, {"kind": "Video", "id": "x1b39a823"}, {"kind": "Article", "id": "xf43a2dbf"}, {"kind": "Scratchpad", "id": 2226438064}, {"kind": "Exercise", "id": "x88d46bd9"}, {"kind": "Video", "id": "x0e99a6f6"}, {"kind": "Video", "id": "x9fb522a8"}, {"kind": "Video", "id": "x3361ef2c"}, {"kind": "Video", "id": "x883cccaf"}, {"kind": "Video", "id": "xf85c8a38"}, {"kind": "Video", "id": "xb0657b16"}, {"kind": "Video", "id": "xd8b817bc"}], "children": [{"translated_youtube_id": "rLNM8zI4Q_M", "relative_url": "/video/introduction-to-light", "has_questions": false, "keywords": "physics, light, quantum, photon, speed", "ka_url": "http://www.khanacademy.org/video/introduction-to-light", "duration": 577, "translated_title": "Introduction to light", "translated_description_html": "Light and electromagnetic radiation", "id": "148049940", "description_html": "Light and electromagnetic radiation", "title": "Introduction to light", "progress_key": "v148049940", "edit_slug": "edit/v/148049940", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Light and electromagnetic radiation", "extra_properties": null, "node_slug": "v/introduction-to-light", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-07-12T23:28:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.mp4/rLNM8zI4Q_M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.mp4/rLNM8zI4Q_M.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rLNM8zI4Q_M.m3u8/rLNM8zI4Q_M.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rLNM8zI4Q_M&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v148049940", "sha": "dd61ef7652e3c2cd711e504e937b610f7f430d76", "translated_description": "Light and electromagnetic radiation", "image_url": "https://img.youtube.com/vi/rLNM8zI4Q_M/hqdefault.jpg", "youtube_id": "rLNM8zI4Q_M", "content_kind": "Video", "readable_id": "introduction-to-light"}, {"translated_youtube_id": "PMtC34pzKGc", "relative_url": "/video/visible-light-waves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/visible-light-waves", "duration": 290, "translated_title": "Visible Light (1672)", "translated_description_html": "", "id": "xa4fb6947", "description_html": "", "title": "Visible Light (1672)", "progress_key": "vxa4fb6947", "edit_slug": "edit/v/xa4fb6947", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/visible-light-waves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PMtC34pzKGc.mp4/PMtC34pzKGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PMtC34pzKGc.mp4/PMtC34pzKGc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PMtC34pzKGc.m3u8/PMtC34pzKGc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PMtC34pzKGc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa4fb6947", "sha": "9bed42ba42ff49c82b45068e448b6a8d8247cdf4", "translated_description": "", "image_url": "https://img.youtube.com/vi/PMtC34pzKGc/hqdefault.jpg", "youtube_id": "PMtC34pzKGc", "content_kind": "Video", "readable_id": "visible-light-waves"}, {"translated_youtube_id": "i8caGm9Fmh0", "relative_url": "/video/infrared-waves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/infrared-waves", "duration": 323, "translated_title": "Infrared Waves (1800)", "translated_description_html": "", "id": "x1b39a823", "description_html": "", "title": "Infrared Waves (1800)", "progress_key": "vx1b39a823", "edit_slug": "edit/v/x1b39a823", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/infrared-waves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/i8caGm9Fmh0.mp4/i8caGm9Fmh0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i8caGm9Fmh0.mp4/i8caGm9Fmh0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i8caGm9Fmh0.m3u8/i8caGm9Fmh0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=i8caGm9Fmh0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1b39a823", "sha": "aa63f0237ba81c6306ee5b5941a61a1bf5e024d9", "translated_description": "", "image_url": "https://img.youtube.com/vi/i8caGm9Fmh0/hqdefault.jpg", "youtube_id": "i8caGm9Fmh0", "content_kind": "Video", "readable_id": "infrared-waves"}, {"translated_youtube_id": "QW5zeVy8aE0", "relative_url": "/video/tour-of-the-ems-06---ultraviolet-waves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tour-of-the-ems-06---ultraviolet-waves", "duration": 220, "translated_title": "Ultraviolet Waves (1801)", "translated_description_html": "", "id": "x0e99a6f6", "description_html": "", "title": "Ultraviolet Waves (1801)", "progress_key": "vx0e99a6f6", "edit_slug": "edit/v/x0e99a6f6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/tour-of-the-ems-06---ultraviolet-waves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QW5zeVy8aE0.mp4/QW5zeVy8aE0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QW5zeVy8aE0.mp4/QW5zeVy8aE0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QW5zeVy8aE0.m3u8/QW5zeVy8aE0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QW5zeVy8aE0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0e99a6f6", "sha": "e084aca71dee68603d4e1df55b6306d3be106930", "translated_description": "", "image_url": "https://img.youtube.com/vi/QW5zeVy8aE0/hqdefault.jpg", "youtube_id": "QW5zeVy8aE0", "content_kind": "Video", "readable_id": "tour-of-the-ems-06---ultraviolet-waves"}, {"translated_youtube_id": "SPgYrsONgwU", "relative_url": "/video/spectroscopy-in-action", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spectroscopy-in-action", "duration": 356, "translated_title": "Spectroscopy", "translated_description_html": "", "id": "x9fb522a8", "description_html": "", "title": "Spectroscopy", "progress_key": "vx9fb522a8", "edit_slug": "edit/v/x9fb522a8", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/spectroscopy-in-action", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/SPgYrsONgwU.mp4/SPgYrsONgwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SPgYrsONgwU.mp4/SPgYrsONgwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SPgYrsONgwU.m3u8/SPgYrsONgwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=SPgYrsONgwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9fb522a8", "sha": "f590147d5f0c824b4f080c80c8dcecc9bd1c2e64", "translated_description": "", "image_url": "https://img.youtube.com/vi/SPgYrsONgwU/hqdefault.jpg", "youtube_id": "SPgYrsONgwU", "content_kind": "Video", "readable_id": "spectroscopy-in-action"}, {"translated_youtube_id": "OzDmEA8x0nQ", "relative_url": "/video/tour-of-the-ems-02---radio-waves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/tour-of-the-ems-02---radio-waves", "duration": 219, "translated_title": "Radio Waves (1888)", "translated_description_html": "", "id": "x3361ef2c", "description_html": "", "title": "Radio Waves (1888)", "progress_key": "vx3361ef2c", "edit_slug": "edit/v/x3361ef2c", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/tour-of-the-ems-02---radio-waves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OzDmEA8x0nQ.mp4/OzDmEA8x0nQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OzDmEA8x0nQ.mp4/OzDmEA8x0nQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OzDmEA8x0nQ.m3u8/OzDmEA8x0nQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OzDmEA8x0nQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx3361ef2c", "sha": "d711ddbb355171c16f39a6ef754d8ea5c10da86e", "translated_description": "", "image_url": "https://img.youtube.com/vi/OzDmEA8x0nQ/hqdefault.jpg", "youtube_id": "OzDmEA8x0nQ", "content_kind": "Video", "readable_id": "tour-of-the-ems-02---radio-waves"}, {"translated_youtube_id": "CCAYcuCWOnM", "relative_url": "/video/x-rays", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/x-rays", "duration": 170, "translated_title": "X-Rays (1895)", "translated_description_html": "", "id": "x883cccaf", "description_html": "", "title": "X-Rays (1895)", "progress_key": "vx883cccaf", "edit_slug": "edit/v/x883cccaf", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/x-rays", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CCAYcuCWOnM.mp4/CCAYcuCWOnM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CCAYcuCWOnM.mp4/CCAYcuCWOnM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CCAYcuCWOnM.m3u8/CCAYcuCWOnM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CCAYcuCWOnM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx883cccaf", "sha": "b9ef624af34517e4853eb46ef57a4aadd3f93783", "translated_description": "", "image_url": "https://img.youtube.com/vi/CCAYcuCWOnM/hqdefault.jpg", "youtube_id": "CCAYcuCWOnM", "content_kind": "Video", "readable_id": "x-rays"}, {"translated_youtube_id": "TA5SLDiIUWs", "relative_url": "/video/gamma-waves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gamma-waves", "duration": 222, "translated_title": "Gamma Waves (1900)", "translated_description_html": "", "id": "xf85c8a38", "description_html": "", "title": "Gamma Waves (1900)", "progress_key": "vxf85c8a38", "edit_slug": "edit/v/xf85c8a38", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/gamma-waves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TA5SLDiIUWs.mp4/TA5SLDiIUWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TA5SLDiIUWs.mp4/TA5SLDiIUWs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TA5SLDiIUWs.m3u8/TA5SLDiIUWs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TA5SLDiIUWs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf85c8a38", "sha": "8be43114fedb24e227018f6aabd39d922ea96fa0", "translated_description": "", "image_url": "https://img.youtube.com/vi/TA5SLDiIUWs/hqdefault.jpg", "youtube_id": "TA5SLDiIUWs", "content_kind": "Video", "readable_id": "gamma-waves"}, {"translated_youtube_id": "UZeBzTI5Omk", "relative_url": "/video/microwaves", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/microwaves", "duration": 184, "translated_title": "Microwaves (1930)", "translated_description_html": "", "id": "xb0657b16", "description_html": "", "title": "Microwaves (1930)", "progress_key": "vxb0657b16", "edit_slug": "edit/v/xb0657b16", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/microwaves", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UZeBzTI5Omk.mp4/UZeBzTI5Omk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UZeBzTI5Omk.mp4/UZeBzTI5Omk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UZeBzTI5Omk.m3u8/UZeBzTI5Omk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UZeBzTI5Omk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxb0657b16", "sha": "64997d1adedcbe8bb2da84c212ab1cb5407b053d", "translated_description": "", "image_url": "https://img.youtube.com/vi/UZeBzTI5Omk/hqdefault.jpg", "youtube_id": "UZeBzTI5Omk", "content_kind": "Video", "readable_id": "microwaves"}, {"translated_youtube_id": "368K0iQv8nE", "relative_url": "/video/spitzer_telescope", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spitzer_telescope", "duration": 383, "translated_title": "Spitzer Telescope", "translated_description_html": "

400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA's flagship observatories have put a new spin on how we see the Pinwheel Galaxy!
<\/p>", "id": "xd8b817bc", "description_html": "

400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA's flagship observatories have put a new spin on how we see the Pinwheel Galaxy!
<\/p>", "title": "Spitzer Telescope", "progress_key": "vxd8b817bc", "edit_slug": "edit/v/xd8b817bc", "author_names": [], "deleted_mod_time": null, "description": "400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA's flagship observatories have put a new spin on how we see the Pinwheel Galaxy!", "extra_properties": {}, "node_slug": "v/spitzer_telescope", "deleted": false, "backup_timestamp": "2013-11-11T04:55:36Z", "date_added": "2013-11-11T04:55:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/368K0iQv8nE.mp4/368K0iQv8nE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/368K0iQv8nE.mp4/368K0iQv8nE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/368K0iQv8nE.m3u8/368K0iQv8nE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=368K0iQv8nE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd8b817bc", "sha": "1ec6f910bc3f82e515cb7a0834b945b59b225c38", "translated_description": "400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA's flagship observatories have put a new spin on how we see the Pinwheel Galaxy!", "image_url": "https://img.youtube.com/vi/368K0iQv8nE/hqdefault.jpg", "youtube_id": "368K0iQv8nE", "content_kind": "Video", "readable_id": "spitzer_telescope"}], "twitter_url": "", "translated_description": "There is much more to light than meets the eye. Introduction to the electromagnetic spectrum and the science of spectroscopy.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "There is much more to light than meets the eye. Introduction to the electromagnetic spectrum and the science of spectroscopy.", "x_pos": 0.0, "node_slug": "spectroscopy", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-11T04:55:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5eee2885", "topic_page_url": "/partner-content/nasa/measuringuniverse/spectroscopy", "extended_slug": "partner-content/nasa/measuringuniverse/spectroscopy", "slug": "spectroscopy", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5f31c17d1bed37e883f343e68cad1a5546738d14", "standalone_title": "Spectroscopy", "y_pos": 0.0, "current_revision_key": "5f31c17d1bed37e883f343e68cad1a5546738d14", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "How have we applied science and mathematics to understand our solar system?", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "How have we applied science and mathematics to understand our solar system?", "x_pos": 0.0, "node_slug": "measuringuniverse", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-11T03:45:06Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0b57fb25", "topic_page_url": "/partner-content/nasa/measuringuniverse", "extended_slug": "partner-content/nasa/measuringuniverse", "slug": "measuringuniverse", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c4b684c18dd63af5069eb931523792e69c791ca0", "standalone_title": "Measuring the Universe", "y_pos": 0.0, "current_revision_key": "c4b684c18dd63af5069eb931523792e69c791ca0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/searchingforlife", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/searchingforlife", "translated_standalone_title": "Exploring the Universe", "translated_title": "Exploring the Universe", "gplus_url": "", "id": "xabe6c929", "old_key_name": null, "hide": false, "title": "Exploring the Universe", "child_data": [{"kind": "Topic", "id": "x6f9ead8b"}, {"kind": "Topic", "id": "x113eac5f"}, {"kind": "Topic", "id": "x730b9b48"}, {"kind": "Topic", "id": "xc0f3b6e3"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/searchingforlife/exploring_mars_ancient", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/searchingforlife/exploring_mars_ancient", "translated_standalone_title": "Mars: Ancient Observations", "translated_title": "Mars: Ancient observations", "gplus_url": "", "id": "x6f9ead8b", "old_key_name": null, "hide": false, "title": "Mars: Ancient observations", "child_data": [{"kind": "Video", "id": "x1d3ee0b0"}, {"kind": "Article", "id": "xff86f562"}, {"kind": "Scratchpad", "id": 5145009707810816}, {"kind": "Article", "id": "x07fb9c67"}, {"kind": "Article", "id": "x2255bc62"}, {"kind": "Video", "id": "x4662c6b2"}, {"kind": "Video", "id": "x2744d8e7"}, {"kind": "Exercise", "id": "xee654879"}], "children": [{"translated_youtube_id": "j2oXFWKpJiA", "relative_url": "/video/life-looks-for-life", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/life-looks-for-life", "duration": 233, "translated_title": "Life Looks for Life", "translated_description_html": "

Follow the adventure www.facebook.com/nasa<\/p>\n", "id": "x1d3ee0b0", "description_html": "

Follow the adventure www.facebook.com/nasa<\/p>\n", "title": "Life Looks for Life", "progress_key": "vx1d3ee0b0", "edit_slug": "edit/v/x1d3ee0b0", "author_names": [], "deleted_mod_time": null, "description": "Follow the adventure www.facebook.com/nasa\n", "extra_properties": {"original_url": ""}, "node_slug": "v/life-looks-for-life", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/j2oXFWKpJiA.mp4/j2oXFWKpJiA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j2oXFWKpJiA.mp4/j2oXFWKpJiA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j2oXFWKpJiA.m3u8/j2oXFWKpJiA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=j2oXFWKpJiA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1d3ee0b0", "sha": "c5d2bed7183bcbf0dce8231d49d963ad94405782", "translated_description": "Follow the adventure www.facebook.com/nasa\n", "image_url": "https://img.youtube.com/vi/j2oXFWKpJiA/hqdefault.jpg", "youtube_id": "j2oXFWKpJiA", "content_kind": "Video", "readable_id": "life-looks-for-life"}, {"translated_youtube_id": "Q7UL8hvlk7k", "relative_url": "/video/mars-in-a-minute--is-mars-really-red", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-in-a-minute--is-mars-really-red", "duration": 61, "translated_title": "Is Mars Really Red?", "translated_description_html": "

Mars in a Minute: Is Mars Really Red?<\/p>\n", "id": "x4662c6b2", "description_html": "

Mars in a Minute: Is Mars Really Red?<\/p>\n", "title": "Is Mars Really Red?", "progress_key": "vx4662c6b2", "edit_slug": "edit/v/x4662c6b2", "author_names": [], "deleted_mod_time": null, "description": "Mars in a Minute: Is Mars Really Red?\n", "extra_properties": {"original_url": ""}, "node_slug": "v/mars-in-a-minute--is-mars-really-red", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q7UL8hvlk7k.mp4/Q7UL8hvlk7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q7UL8hvlk7k.mp4/Q7UL8hvlk7k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q7UL8hvlk7k.m3u8/Q7UL8hvlk7k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q7UL8hvlk7k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4662c6b2", "sha": "701d50a0aee4c726a1d756fad034cb19e2f0dbac", "translated_description": "Mars in a Minute: Is Mars Really Red?\n", "image_url": "https://img.youtube.com/vi/Q7UL8hvlk7k/hqdefault.jpg", "youtube_id": "Q7UL8hvlk7k", "content_kind": "Video", "readable_id": "mars-in-a-minute--is-mars-really-red"}, {"translated_youtube_id": "62zKxexJrIM", "relative_url": "/video/mars-in-a-minute--is-mars-red-hot", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-in-a-minute--is-mars-red-hot", "duration": 61, "translated_title": "Temperature & Atmosphere", "translated_description_html": "", "id": "x2744d8e7", "description_html": "", "title": "Temperature & Atmosphere", "progress_key": "vx2744d8e7", "edit_slug": "edit/v/x2744d8e7", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/mars-in-a-minute--is-mars-red-hot", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/62zKxexJrIM.mp4/62zKxexJrIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/62zKxexJrIM.mp4/62zKxexJrIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/62zKxexJrIM.m3u8/62zKxexJrIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=62zKxexJrIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2744d8e7", "sha": "acc9abe24870ee991873ada731f29c7bd5543dad", "translated_description": "", "image_url": "https://img.youtube.com/vi/62zKxexJrIM/hqdefault.jpg", "youtube_id": "62zKxexJrIM", "content_kind": "Video", "readable_id": "mars-in-a-minute--is-mars-red-hot"}], "twitter_url": "", "translated_description": "Where is Mars? How does it move? How far away is it? What are the conditions on the surface? This tutorial covers our initial observations of the Red Planet", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Where is Mars? How does it move? How far away is it? What are the conditions on the surface? This tutorial covers our initial observations of the Red Planet", "x_pos": 0.0, "node_slug": "exploring_mars_ancient", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-23T15:26:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6f9ead8b", "topic_page_url": "/partner-content/nasa/searchingforlife/exploring_mars_ancient", "extended_slug": "partner-content/nasa/searchingforlife/exploring_mars_ancient", "slug": "exploring_mars_ancient", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "42eb882f0c16b1bf1fcb85b130be6f30c0dd0c42", "standalone_title": "Mars: Ancient Observations", "y_pos": 0.0, "current_revision_key": "42eb882f0c16b1bf1fcb85b130be6f30c0dd0c42", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/searchingforlife/mars-modern-exploration", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/searchingforlife/mars-modern-exploration", "translated_standalone_title": "Mars: Modern exploration", "translated_title": "Mars: Modern exploration", "gplus_url": "", "id": "x113eac5f", "old_key_name": null, "hide": false, "title": "Mars: Modern exploration", "child_data": [{"kind": "Article", "id": "xe96e6fd6"}, {"kind": "Scratchpad", "id": 2132245764}, {"kind": "Scratchpad", "id": 972169665}, {"kind": "Article", "id": "xc2e5ae89"}, {"kind": "Article", "id": "x2ed4be5c"}, {"kind": "Video", "id": "xa5240d56"}, {"kind": "Video", "id": "xc7aeac9f"}, {"kind": "Video", "id": "x4c8d0df3"}, {"kind": "Video", "id": "xa5492882"}, {"kind": "Video", "id": "x1bfd7d9e"}, {"kind": "Video", "id": "x9edcf1f1"}, {"kind": "Video", "id": "x4f2fa5aa"}, {"kind": "Video", "id": "x0dd56bae"}, {"kind": "Article", "id": "x2c38479a"}, {"kind": "Exercise", "id": "x461a1752"}, {"kind": "Scratchpad", "id": 1994911779}], "children": [{"translated_youtube_id": "oTpvV9nnGNQ", "relative_url": "/video/viking-mars-lander-", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/viking-mars-lander-", "duration": 858, "translated_title": "Viking Mission", "translated_description_html": "", "id": "xa5240d56", "description_html": "", "title": "Viking Mission", "progress_key": "vxa5240d56", "edit_slug": "edit/v/xa5240d56", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/viking-mars-lander-", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oTpvV9nnGNQ.mp4/oTpvV9nnGNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oTpvV9nnGNQ.mp4/oTpvV9nnGNQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oTpvV9nnGNQ.m3u8/oTpvV9nnGNQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oTpvV9nnGNQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5240d56", "sha": "468e4aef9ffa77e336f18a5427e006d08c963e83", "translated_description": "", "image_url": "https://img.youtube.com/vi/oTpvV9nnGNQ/hqdefault.jpg", "youtube_id": "oTpvV9nnGNQ", "content_kind": "Video", "readable_id": "viking-mars-lander-"}, {"translated_youtube_id": "ozHYnzvzoIc", "relative_url": "/video/mars-global-surveyor", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-global-surveyor", "duration": 152, "translated_title": "Mars Global Surveyor", "translated_description_html": "", "id": "xc7aeac9f", "description_html": "", "title": "Mars Global Surveyor", "progress_key": "vxc7aeac9f", "edit_slug": "edit/v/xc7aeac9f", "author_names": [], "deleted_mod_time": null, "description": "Mars Global Surveyor", "extra_properties": {}, "node_slug": "v/mars-global-surveyor", "deleted": false, "backup_timestamp": "2013-11-23T18:02:43Z", "date_added": "2013-11-23T18:02:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ozHYnzvzoIc.mp4/ozHYnzvzoIc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ozHYnzvzoIc.mp4/ozHYnzvzoIc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ozHYnzvzoIc.m3u8/ozHYnzvzoIc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ozHYnzvzoIc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc7aeac9f", "sha": "2c3b991bd634f7115f19dcc3c35eb39b0ec9d86d", "translated_description": "Mars Global Surveyor", "image_url": "https://img.youtube.com/vi/ozHYnzvzoIc/hqdefault.jpg", "youtube_id": "ozHYnzvzoIc", "content_kind": "Video", "readable_id": "mars-global-surveyor"}, {"translated_youtube_id": "mNXBfz1iVzc", "relative_url": "/video/dry-ice-moves-on-mars", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/dry-ice-moves-on-mars", "duration": 148, "translated_title": "Dry Ice Experiment", "translated_description_html": "", "id": "x4c8d0df3", "description_html": "", "title": "Dry Ice Experiment", "progress_key": "vx4c8d0df3", "edit_slug": "edit/v/x4c8d0df3", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/dry-ice-moves-on-mars", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mNXBfz1iVzc.mp4/mNXBfz1iVzc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mNXBfz1iVzc.mp4/mNXBfz1iVzc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mNXBfz1iVzc.m3u8/mNXBfz1iVzc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mNXBfz1iVzc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4c8d0df3", "sha": "799311d423fb4dcf6e217acbe549ee149ff26372", "translated_description": "", "image_url": "https://img.youtube.com/vi/mNXBfz1iVzc/hqdefault.jpg", "youtube_id": "mNXBfz1iVzc", "content_kind": "Video", "readable_id": "dry-ice-moves-on-mars"}, {"translated_youtube_id": "Q8uhzlJ5tws", "relative_url": "/video/mars-pathfinder", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-pathfinder", "duration": 163, "translated_title": "Pathfinder ", "translated_description_html": "

Short video introducing the people behind the Pathfinder mission. <\/p>

For more information check out NASA's mission page<\/a><\/p>", "id": "xa5492882", "description_html": "

Short video introducing the people behind the Pathfinder mission. <\/p>

For more information check out NASA's mission page<\/a><\/p>", "title": "Pathfinder ", "progress_key": "vxa5492882", "edit_slug": "edit/v/xa5492882", "author_names": [], "deleted_mod_time": null, "description": "Short video introducing the people behind the Pathfinder mission. For more information check out NASA's mission page", "extra_properties": {}, "node_slug": "v/mars-pathfinder", "deleted": false, "backup_timestamp": "2013-11-23T18:02:43Z", "date_added": "2013-11-23T18:02:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q8uhzlJ5tws.mp4/Q8uhzlJ5tws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q8uhzlJ5tws.mp4/Q8uhzlJ5tws.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Q8uhzlJ5tws.m3u8/Q8uhzlJ5tws.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Q8uhzlJ5tws&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa5492882", "sha": "0534b3fe8a6ad79d7f8d4ddf54c2d96222c6ad98", "translated_description": "Short video introducing the people behind the Pathfinder mission. For more information check out NASA's mission page", "image_url": "https://img.youtube.com/vi/Q8uhzlJ5tws/hqdefault.jpg", "youtube_id": "Q8uhzlJ5tws", "content_kind": "Video", "readable_id": "mars-pathfinder"}, {"translated_youtube_id": "dMzX3odi1K8", "relative_url": "/video/mars-odyssey", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-odyssey", "duration": 73, "translated_title": "Mars Odyssey", "translated_description_html": "", "id": "x1bfd7d9e", "description_html": "", "title": "Mars Odyssey", "progress_key": "vx1bfd7d9e", "edit_slug": "edit/v/x1bfd7d9e", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/mars-odyssey", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/dMzX3odi1K8.mp4/dMzX3odi1K8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dMzX3odi1K8.mp4/dMzX3odi1K8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dMzX3odi1K8.m3u8/dMzX3odi1K8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=dMzX3odi1K8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1bfd7d9e", "sha": "068cfc3286dbc9b0b0d88659543d46c04ab43f86", "translated_description": "", "image_url": "https://img.youtube.com/vi/dMzX3odi1K8/hqdefault.jpg", "youtube_id": "dMzX3odi1K8", "content_kind": "Video", "readable_id": "mars-odyssey"}, {"translated_youtube_id": "hyWC_zPTLsI", "relative_url": "/video/mars-express", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-express", "duration": 194, "translated_title": "Mars Express ", "translated_description_html": "

Summary of the Mars Express Orbiter.<\/p>

For more information check out the mission page.<\/a><\/p>", "id": "x9edcf1f1", "description_html": "

Summary of the Mars Express Orbiter.<\/p>

For more information check out the mission page.<\/a><\/p>", "title": "Mars Express ", "progress_key": "vx9edcf1f1", "edit_slug": "edit/v/x9edcf1f1", "author_names": [], "deleted_mod_time": null, "description": "Summary of the Mars Express Orbiter.For more information check out the mission page.", "extra_properties": {}, "node_slug": "v/mars-express", "deleted": false, "backup_timestamp": "2013-11-23T18:02:43Z", "date_added": "2013-11-23T18:02:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hyWC_zPTLsI.mp4/hyWC_zPTLsI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hyWC_zPTLsI.mp4/hyWC_zPTLsI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hyWC_zPTLsI.m3u8/hyWC_zPTLsI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hyWC_zPTLsI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx9edcf1f1", "sha": "d2f37dc6723951304cd5593b71bc407ace5789c6", "translated_description": "Summary of the Mars Express Orbiter.For more information check out the mission page.", "image_url": "https://img.youtube.com/vi/hyWC_zPTLsI/hqdefault.jpg", "youtube_id": "hyWC_zPTLsI", "content_kind": "Video", "readable_id": "mars-express"}, {"translated_youtube_id": "HvHnYXpeRsA", "relative_url": "/video/martian-methane", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/martian-methane", "duration": 145, "translated_title": "Martian methane", "translated_description_html": "", "id": "x4f2fa5aa", "description_html": "", "title": "Martian methane", "progress_key": "vx4f2fa5aa", "edit_slug": "edit/v/x4f2fa5aa", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/martian-methane", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HvHnYXpeRsA.mp4/HvHnYXpeRsA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HvHnYXpeRsA.mp4/HvHnYXpeRsA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HvHnYXpeRsA.m3u8/HvHnYXpeRsA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HvHnYXpeRsA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4f2fa5aa", "sha": "8e3c56fd837baf472bc081383a6c191a33b65eea", "translated_description": "", "image_url": "https://img.youtube.com/vi/HvHnYXpeRsA/hqdefault.jpg", "youtube_id": "HvHnYXpeRsA", "content_kind": "Video", "readable_id": "martian-methane"}, {"translated_youtube_id": "8u6gNH6xIfc", "relative_url": "/video/a-tale-of-two-rovers", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/a-tale-of-two-rovers", "duration": 480, "translated_title": "Spirit & Opportunity", "translated_description_html": "", "id": "x0dd56bae", "description_html": "", "title": "Spirit & Opportunity", "progress_key": "vx0dd56bae", "edit_slug": "edit/v/x0dd56bae", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/a-tale-of-two-rovers", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8u6gNH6xIfc.mp4/8u6gNH6xIfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8u6gNH6xIfc.mp4/8u6gNH6xIfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8u6gNH6xIfc.m3u8/8u6gNH6xIfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8u6gNH6xIfc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0dd56bae", "sha": "38360f3c9e6ebd8b066c735bc47b194527438e2a", "translated_description": "", "image_url": "https://img.youtube.com/vi/8u6gNH6xIfc/hqdefault.jpg", "youtube_id": "8u6gNH6xIfc", "content_kind": "Video", "readable_id": "a-tale-of-two-rovers"}], "twitter_url": "", "translated_description": "What are the conditions on the surface of Mars? Does it have life? Does it have water? Was the ancient environment habitable on Mars? This tutorial covers 20th century discoveries.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What are the conditions on the surface of Mars? Does it have life? Does it have water? Was the ancient environment habitable on Mars? This tutorial covers 20th century discoveries.", "x_pos": 0.0, "node_slug": "mars-modern-exploration", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-23T15:26:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax113eac5f", "topic_page_url": "/partner-content/nasa/searchingforlife/mars-modern-exploration", "extended_slug": "partner-content/nasa/searchingforlife/mars-modern-exploration", "slug": "mars-modern-exploration", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "98da1e75f1b0e8248dec991296c2dff3015c954d", "standalone_title": "Mars: Modern exploration", "y_pos": 0.0, "current_revision_key": "98da1e75f1b0e8248dec991296c2dff3015c954d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/searchingforlife/mars_science_lab", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/searchingforlife/mars_science_lab", "translated_standalone_title": "Curiosity rover: mission briefing", "translated_title": "Curiosity rover: mission briefing", "gplus_url": "", "id": "x730b9b48", "old_key_name": null, "hide": false, "title": "Curiosity rover: mission briefing", "child_data": [{"kind": "Article", "id": "x63601e6a"}, {"kind": "Video", "id": "x4d78bb51"}, {"kind": "Article", "id": "x7b142f0f"}, {"kind": "Video", "id": "x732225f1"}, {"kind": "Article", "id": "x4f04f26f"}, {"kind": "Video", "id": "xec99bb91"}, {"kind": "Video", "id": "xc64fafb9"}, {"kind": "Article", "id": "x29032dd6"}, {"kind": "Video", "id": "x18a8c853"}, {"kind": "Article", "id": "xb3100f9d"}, {"kind": "Article", "id": "xa78d190a"}, {"kind": "Video", "id": "xefb6edd6"}, {"kind": "Article", "id": "x9d6e18dd"}, {"kind": "Video", "id": "x0079a6e5"}, {"kind": "Video", "id": "xafc8b36e"}, {"kind": "Exercise", "id": "x1ddced3b"}, {"kind": "Scratchpad", "id": 2005175964}], "children": [{"translated_youtube_id": "oHLbXTOaw7w", "relative_url": "/video/seeking-signs-of-past-mars-habitability", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/seeking-signs-of-past-mars-habitability", "duration": 143, "translated_title": "Seeking Signs of Habitability", "translated_description_html": "", "id": "x4d78bb51", "description_html": "", "title": "Seeking Signs of Habitability", "progress_key": "vx4d78bb51", "edit_slug": "edit/v/x4d78bb51", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/seeking-signs-of-past-mars-habitability", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oHLbXTOaw7w.mp4/oHLbXTOaw7w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oHLbXTOaw7w.mp4/oHLbXTOaw7w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oHLbXTOaw7w.m3u8/oHLbXTOaw7w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oHLbXTOaw7w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx4d78bb51", "sha": "230f0338bb92414bce52a8d5d9c8a3b0d7b9cb55", "translated_description": "", "image_url": "https://img.youtube.com/vi/oHLbXTOaw7w/hqdefault.jpg", "youtube_id": "oHLbXTOaw7w", "content_kind": "Video", "readable_id": "seeking-signs-of-past-mars-habitability"}, {"translated_youtube_id": "qrxvbRA2xCI", "relative_url": "/video/gale-crater", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/gale-crater", "duration": 157, "translated_title": "Destination: Gale crater", "translated_description_html": "

Details on the landing site: Gale Crater
<\/p>", "id": "x732225f1", "description_html": "

Details on the landing site: Gale Crater
<\/p>", "title": "Destination: Gale crater", "progress_key": "vx732225f1", "edit_slug": "edit/v/x732225f1", "author_names": [], "deleted_mod_time": null, "description": "Details on the landing site: Gale Crater", "extra_properties": {"original_url": ""}, "node_slug": "v/gale-crater", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qrxvbRA2xCI.mp4/qrxvbRA2xCI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qrxvbRA2xCI.mp4/qrxvbRA2xCI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qrxvbRA2xCI.m3u8/qrxvbRA2xCI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qrxvbRA2xCI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx732225f1", "sha": "a8ac915417cd1d26535dad7c3a41a0f721f5b9c2", "translated_description": "Details on the landing site: Gale Crater", "image_url": "https://img.youtube.com/vi/qrxvbRA2xCI/hqdefault.jpg", "youtube_id": "qrxvbRA2xCI", "content_kind": "Video", "readable_id": "gale-crater"}, {"translated_youtube_id": "b2rwWECbEHg", "relative_url": "/video/curiosity-s-cameras", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/curiosity-s-cameras", "duration": 215, "translated_title": "Rover vision", "translated_description_html": "", "id": "xec99bb91", "description_html": "", "title": "Rover vision", "progress_key": "vxec99bb91", "edit_slug": "edit/v/xec99bb91", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/curiosity-s-cameras", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/b2rwWECbEHg.mp4/b2rwWECbEHg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b2rwWECbEHg.mp4/b2rwWECbEHg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b2rwWECbEHg.m3u8/b2rwWECbEHg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=b2rwWECbEHg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxec99bb91", "sha": "04866dcdd417e44ede4ba9036f7f677a34b62d0a", "translated_description": "", "image_url": "https://img.youtube.com/vi/b2rwWECbEHg/hqdefault.jpg", "youtube_id": "b2rwWECbEHg", "content_kind": "Video", "readable_id": "curiosity-s-cameras"}, {"translated_youtube_id": "pP-QbnWbg_0", "relative_url": "/video/chemcam", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/chemcam", "duration": 406, "translated_title": "ChemCam", "translated_description_html": "", "id": "xc64fafb9", "description_html": "", "title": "ChemCam", "progress_key": "vxc64fafb9", "edit_slug": "edit/v/xc64fafb9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/chemcam", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pP-QbnWbg_0.mp4/pP-QbnWbg_0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pP-QbnWbg_0.mp4/pP-QbnWbg_0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pP-QbnWbg_0.m3u8/pP-QbnWbg_0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pP-QbnWbg_0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc64fafb9", "sha": "b9e1732b71e2d231041af53c1805e806e32c34f9", "translated_description": "", "image_url": "https://img.youtube.com/vi/pP-QbnWbg_0/hqdefault.jpg", "youtube_id": "pP-QbnWbg_0", "content_kind": "Video", "readable_id": "chemcam"}, {"translated_youtube_id": "e1noAqa_Ukc", "relative_url": "/video/robotic-arm-attached", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/robotic-arm-attached", "duration": 133, "translated_title": "Curiosity's arm", "translated_description_html": "

Introduction to the rover's arm
<\/p>", "id": "x18a8c853", "description_html": "

Introduction to the rover's arm
<\/p>", "title": "Curiosity's arm", "progress_key": "vx18a8c853", "edit_slug": "edit/v/x18a8c853", "author_names": [], "deleted_mod_time": null, "description": "Introduction to the rover's arm", "extra_properties": {"original_url": ""}, "node_slug": "v/robotic-arm-attached", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/e1noAqa_Ukc.mp4/e1noAqa_Ukc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e1noAqa_Ukc.mp4/e1noAqa_Ukc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e1noAqa_Ukc.m3u8/e1noAqa_Ukc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=e1noAqa_Ukc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx18a8c853", "sha": "7095d1a96453d1ee8f38a50c329a9a00c6a1792a", "translated_description": "Introduction to the rover's arm", "image_url": "https://img.youtube.com/vi/e1noAqa_Ukc/hqdefault.jpg", "youtube_id": "e1noAqa_Ukc", "content_kind": "Video", "readable_id": "robotic-arm-attached"}, {"translated_youtube_id": "_jMyz4ZYc-Y", "relative_url": "/video/sam-overview-", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sam-overview-", "duration": 118, "translated_title": "Introduction to SAM", "translated_description_html": "", "id": "xefb6edd6", "description_html": "", "title": "Introduction to SAM", "progress_key": "vxefb6edd6", "edit_slug": "edit/v/xefb6edd6", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sam-overview-", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_jMyz4ZYc-Y.mp4/_jMyz4ZYc-Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_jMyz4ZYc-Y.mp4/_jMyz4ZYc-Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_jMyz4ZYc-Y.m3u8/_jMyz4ZYc-Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_jMyz4ZYc-Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxefb6edd6", "sha": "89892e85390d43b786569b1d685c9897590a87d1", "translated_description": "", "image_url": "https://img.youtube.com/vi/_jMyz4ZYc-Y/hqdefault.jpg", "youtube_id": "_jMyz4ZYc-Y", "content_kind": "Video", "readable_id": "sam-overview-"}, {"translated_youtube_id": "TZ5aMFpwTp8", "relative_url": "/video/mars-landing", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-landing", "duration": 61, "translated_title": "Preparing for landing", "translated_description_html": "

How hard is it to land on Mars?
<\/p>", "id": "x0079a6e5", "description_html": "

How hard is it to land on Mars?
<\/p>", "title": "Preparing for landing", "progress_key": "vx0079a6e5", "edit_slug": "edit/v/x0079a6e5", "author_names": [], "deleted_mod_time": null, "description": "How hard is it to land on Mars?", "extra_properties": {}, "node_slug": "v/mars-landing", "deleted": false, "backup_timestamp": "2013-11-24T00:51:05Z", "date_added": "2013-11-24T00:51:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZ5aMFpwTp8.mp4/TZ5aMFpwTp8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TZ5aMFpwTp8.mp4/TZ5aMFpwTp8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZ5aMFpwTp8.m3u8/TZ5aMFpwTp8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TZ5aMFpwTp8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0079a6e5", "sha": "4e96d241fa46bd4d5e7d0efbdd1c349c91d41de1", "translated_description": "How hard is it to land on Mars?", "image_url": "https://img.youtube.com/vi/TZ5aMFpwTp8/hqdefault.jpg", "youtube_id": "TZ5aMFpwTp8", "content_kind": "Video", "readable_id": "mars-landing"}, {"translated_youtube_id": "pzqdoXwLBT8", "relative_url": "/video/seven-minutes-of-terror", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/seven-minutes-of-terror", "duration": 307, "translated_title": "Entry, descent & landing", "translated_description_html": "

Seven minutes of terror. EDL plans for Curiosity
<\/p>", "id": "xafc8b36e", "description_html": "

Seven minutes of terror. EDL plans for Curiosity
<\/p>", "title": "Entry, descent & landing", "progress_key": "vxafc8b36e", "edit_slug": "edit/v/xafc8b36e", "author_names": [], "deleted_mod_time": null, "description": "Seven minutes of terror. EDL plans for Curiosity", "extra_properties": {"original_url": ""}, "node_slug": "v/seven-minutes-of-terror", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzqdoXwLBT8.mp4/pzqdoXwLBT8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzqdoXwLBT8.mp4/pzqdoXwLBT8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pzqdoXwLBT8.m3u8/pzqdoXwLBT8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pzqdoXwLBT8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxafc8b36e", "sha": "f612b3b30c331218af2ba519bf2fdca54844e07c", "translated_description": "Seven minutes of terror. EDL plans for Curiosity", "image_url": "https://img.youtube.com/vi/pzqdoXwLBT8/hqdefault.jpg", "youtube_id": "pzqdoXwLBT8", "content_kind": "Video", "readable_id": "seven-minutes-of-terror"}], "twitter_url": "", "translated_description": "Why are we going to Mars today, where are we looking, what are we hoping to find?", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Why are we going to Mars today, where are we looking, what are we hoping to find?", "x_pos": 0.0, "node_slug": "mars_science_lab", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-23T15:26:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax730b9b48", "topic_page_url": "/partner-content/nasa/searchingforlife/mars_science_lab", "extended_slug": "partner-content/nasa/searchingforlife/mars_science_lab", "slug": "mars_science_lab", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "3c7278cc131936dc0d978b574c60787fa9f5c12c", "standalone_title": "Curiosity rover: mission briefing", "y_pos": 0.0, "current_revision_key": "3c7278cc131936dc0d978b574c60787fa9f5c12c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/nasa/searchingforlife/curiosity-discoveries", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/nasa/searchingforlife/curiosity-discoveries", "translated_standalone_title": "Curiosity rover: discoveries", "translated_title": "Curiosity rover: discoveries", "gplus_url": "", "id": "xc0f3b6e3", "old_key_name": null, "hide": false, "title": "Curiosity rover: discoveries", "child_data": [{"kind": "Video", "id": "xf872ee51"}, {"kind": "Video", "id": "x49a53d1f"}, {"kind": "Video", "id": "x6fbdbdfc"}, {"kind": "Video", "id": "x174bc528"}, {"kind": "Article", "id": "x1271c9bf"}, {"kind": "Article", "id": "x99facf86"}, {"kind": "Video", "id": "x0aa652b4"}, {"kind": "Video", "id": "x1dce2eb8"}], "children": [{"translated_youtube_id": "N9hXqzkH7YA", "relative_url": "/video/curiosity-has-landed", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/curiosity-has-landed", "duration": 152, "translated_title": "Curiosity Has Landed", "translated_description_html": "", "id": "xf872ee51", "description_html": "", "title": "Curiosity Has Landed", "progress_key": "vxf872ee51", "edit_slug": "edit/v/xf872ee51", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/curiosity-has-landed", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N9hXqzkH7YA.mp4/N9hXqzkH7YA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N9hXqzkH7YA.mp4/N9hXqzkH7YA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N9hXqzkH7YA.m3u8/N9hXqzkH7YA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N9hXqzkH7YA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf872ee51", "sha": "b230c5e93bf9b8b8bacc2d979d52ea35dd2a543d", "translated_description": "", "image_url": "https://img.youtube.com/vi/N9hXqzkH7YA/hqdefault.jpg", "youtube_id": "N9hXqzkH7YA", "content_kind": "Video", "readable_id": "curiosity-has-landed"}, {"translated_youtube_id": "Esj5juUzhpU", "relative_url": "/video/mars-curiosity-descent", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/mars-curiosity-descent", "duration": 175, "translated_title": "Curiosity Descent ", "translated_description_html": "", "id": "x49a53d1f", "description_html": "", "title": "Curiosity Descent ", "progress_key": "vx49a53d1f", "edit_slug": "edit/v/x49a53d1f", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/mars-curiosity-descent", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Esj5juUzhpU.mp4/Esj5juUzhpU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Esj5juUzhpU.mp4/Esj5juUzhpU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Esj5juUzhpU.m3u8/Esj5juUzhpU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Esj5juUzhpU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx49a53d1f", "sha": "ad876abeea2ef78456036e3ec257059d7573d749", "translated_description": "", "image_url": "https://img.youtube.com/vi/Esj5juUzhpU/hqdefault.jpg", "youtube_id": "Esj5juUzhpU", "content_kind": "Video", "readable_id": "mars-curiosity-descent"}, {"translated_youtube_id": "mz2eVthmNn4", "relative_url": "/video/curiosity-rover-report-aug--17-", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/curiosity-rover-report-aug--17-", "duration": 81, "translated_title": "Systems Check", "translated_description_html": "

Aug 9th 2012)<\/p>\n", "id": "x6fbdbdfc", "description_html": "

Aug 9th 2012)<\/p>\n", "title": "Systems Check", "progress_key": "vx6fbdbdfc", "edit_slug": "edit/v/x6fbdbdfc", "author_names": [], "deleted_mod_time": null, "description": "Aug 9th 2012)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/curiosity-rover-report-aug--17-", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mz2eVthmNn4.mp4/mz2eVthmNn4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mz2eVthmNn4.mp4/mz2eVthmNn4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mz2eVthmNn4.m3u8/mz2eVthmNn4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mz2eVthmNn4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6fbdbdfc", "sha": "384f3eb445962ec02635fce40de5302b50900f97", "translated_description": "Aug 9th 2012)\n", "image_url": "https://img.youtube.com/vi/mz2eVthmNn4/hqdefault.jpg", "youtube_id": "mz2eVthmNn4", "content_kind": "Video", "readable_id": "curiosity-rover-report-aug--17-"}, {"translated_youtube_id": "JhhueOO0iqU", "relative_url": "/video/curiosity-rover-report--aug--24--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/curiosity-rover-report--aug--24--2012", "duration": 129, "translated_title": "Curiosity's First Drive", "translated_description_html": "

(Aug. 24, 2012)<\/p>\n", "id": "x174bc528", "description_html": "

(Aug. 24, 2012)<\/p>\n", "title": "Curiosity's First Drive", "progress_key": "vx174bc528", "edit_slug": "edit/v/x174bc528", "author_names": [], "deleted_mod_time": null, "description": "(Aug. 24, 2012)\n", "extra_properties": {"original_url": ""}, "node_slug": "v/curiosity-rover-report--aug--24--2012", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JhhueOO0iqU.mp4/JhhueOO0iqU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JhhueOO0iqU.mp4/JhhueOO0iqU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JhhueOO0iqU.m3u8/JhhueOO0iqU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JhhueOO0iqU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx174bc528", "sha": "2f4efe060753b2698cd1956e8ee95e301df55c45", "translated_description": "(Aug. 24, 2012)\n", "image_url": "https://img.youtube.com/vi/JhhueOO0iqU/hqdefault.jpg", "youtube_id": "JhhueOO0iqU", "content_kind": "Video", "readable_id": "curiosity-rover-report--aug--24--2012"}, {"translated_youtube_id": "HYHc2alzdUk", "relative_url": "/video/curiosity-rover-report--sept-28--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/curiosity-rover-report--sept-28--2012", "duration": 175, "translated_title": "Discovery: Streambed", "translated_description_html": "", "id": "x0aa652b4", "description_html": "", "title": "Discovery: Streambed", "progress_key": "vx0aa652b4", "edit_slug": "edit/v/x0aa652b4", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/curiosity-rover-report--sept-28--2012", "deleted": false, "backup_timestamp": "2013-11-23T15:26:39Z", "date_added": "2013-11-23T15:26:39Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HYHc2alzdUk.mp4/HYHc2alzdUk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HYHc2alzdUk.mp4/HYHc2alzdUk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HYHc2alzdUk.m3u8/HYHc2alzdUk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HYHc2alzdUk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0aa652b4", "sha": "d3d92ab6b543346f73f7d06dea4310ebad6b5ceb", "translated_description": "", "image_url": "https://img.youtube.com/vi/HYHc2alzdUk/hqdefault.jpg", "youtube_id": "HYHc2alzdUk", "content_kind": "Video", "readable_id": "curiosity-rover-report--sept-28--2012"}, {"translated_youtube_id": "L70uKS_4wGM", "relative_url": "/video/cheminresults", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/cheminresults", "duration": 124, "translated_title": "First CheMin Results", "translated_description_html": "

Nov 1st 2012<\/p>\n", "id": "x1dce2eb8", "description_html": "

Nov 1st 2012<\/p>\n", "title": "First CheMin Results", "progress_key": "vx1dce2eb8", "edit_slug": "edit/v/x1dce2eb8", "author_names": [], "deleted_mod_time": null, "description": "Nov 1st 2012\n", "extra_properties": {}, "node_slug": "v/cheminresults", "deleted": false, "backup_timestamp": "2013-11-23T15:26:40Z", "date_added": "2013-11-23T15:26:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/L70uKS_4wGM.mp4/L70uKS_4wGM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L70uKS_4wGM.mp4/L70uKS_4wGM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/L70uKS_4wGM.m3u8/L70uKS_4wGM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=L70uKS_4wGM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx1dce2eb8", "sha": "1ad82753aae7d610a7435c9008fe7b8dcb322ef9", "translated_description": "Nov 1st 2012\n", "image_url": "https://img.youtube.com/vi/L70uKS_4wGM/hqdefault.jpg", "youtube_id": "L70uKS_4wGM", "content_kind": "Video", "readable_id": "cheminresults"}], "twitter_url": "", "translated_description": "What did the curiosity rover find? Follow the mission timeline & findings here.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "What did the curiosity rover find? Follow the mission timeline & findings here.", "x_pos": 0.0, "node_slug": "curiosity-discoveries", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-23T15:26:39Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc0f3b6e3", "topic_page_url": "/partner-content/nasa/searchingforlife/curiosity-discoveries", "extended_slug": "partner-content/nasa/searchingforlife/curiosity-discoveries", "slug": "curiosity-discoveries", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fca352f02aa17ce59ef6eb1b4d439076876411ae", "standalone_title": "Curiosity rover: discoveries", "y_pos": 0.0, "current_revision_key": "fca352f02aa17ce59ef6eb1b4d439076876411ae", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "NASA missions", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "NASA missions", "x_pos": 0.0, "node_slug": "searchingforlife", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-23T15:26:40Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axabe6c929", "topic_page_url": "/partner-content/nasa/searchingforlife", "extended_slug": "partner-content/nasa/searchingforlife", "slug": "searchingforlife", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "cd5ff27e4446d8093d6e988bfc92578e04d651d2", "standalone_title": "Exploring the Universe", "y_pos": 0.0, "current_revision_key": "cd5ff27e4446d8093d6e988bfc92578e04d651d2", "content_kind": "Topic"}], "twitter_url": "https://twitter.com/nasa", "translated_description": "NASA's vision is to reach for new heights and reveal the unknown so that what we do and learn will benefit all humankind.\n\nThis section contains a series of tutorials on astronomy and space exploration developed in collaboration with NASA", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "NASA's vision is to reach for new heights and reveal the unknown so that what we do and learn will benefit all humankind.\n\nThis section contains a series of tutorials on astronomy and space exploration developed in collaboration with NASA", "x_pos": 0.0, "node_slug": "nasa", "deleted": false, "facebook_url": "https://www.facebook.com/NASA", "backup_timestamp": "2013-11-11T03:45:08Z", "render_type": "Subject", "background_image_url": "https://ka-perseus-images.s3.amazonaws.com/290313c9244b00a6870bad396301b8fa5b501756.jpeg", "background_image_caption": "", "assessment_progress_key": "ax1b441846", "topic_page_url": "/partner-content/nasa", "extended_slug": "partner-content/nasa", "slug": "nasa", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b3db292d5d6158f5d09aea3c8814f6634f714a6e", "standalone_title": "NASA", "y_pos": 0.0, "current_revision_key": "b3db292d5d6158f5d09aea3c8814f6634f714a6e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/lebron-asks-subject", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/lebron-asks-subject", "translated_standalone_title": "LeBron asks", "translated_title": "LeBron asks", "gplus_url": "", "id": "xc579d153", "old_key_name": null, "hide": false, "title": "LeBron asks", "child_data": [{"kind": "Topic", "id": "xe9b9297e"}], "children": [{"icon_src": "", "domain_slug": "partner-content", "relative_url": "/partner-content/lebron-asks-subject/lebron-asks", "web_url": "", "ka_url": "http://www.khanacademy.org/partner-content/lebron-asks-subject/lebron-asks", "translated_standalone_title": "LeBron asks", "translated_title": "LeBron asks", "gplus_url": "", "id": "xe9b9297e", "old_key_name": "UVRlR9jjheGb2A6IU92ffEbqYhBuNGytzilEqlLj", "hide": false, "title": "LeBron asks", "child_data": [{"kind": "Video", "id": 1022166697}, {"kind": "Video", "id": 1022249161}, {"kind": "Video", "id": 1022060030}, {"kind": "Video", "id": 1022193589}, {"kind": "Video", "id": 1021984988}, {"kind": "Video", "id": 753767269}, {"kind": "Video", "id": 1022209423}, {"kind": "Video", "id": 1094139389}], "children": [{"translated_youtube_id": "9qEaVwIXqR4", "relative_url": "/video/lebron-asks---what-muscles-do-we-use-when-shooting-a-basket", "has_questions": false, "keywords": "lebron, khan", "ka_url": "http://www.khanacademy.org/video/lebron-asks---what-muscles-do-we-use-when-shooting-a-basket", "duration": 195, "translated_title": "LeBron Asks: What muscles do we use when shooting a basket?", "translated_description_html": "LeBron James asks Sal Khan about which muscles we use when we shoot a basket.", "id": "1022166697", "description_html": "LeBron James asks Sal Khan about which muscles we use when we shoot a basket.", "title": "LeBron Asks: What muscles do we use when shooting a basket?", "progress_key": "v1022166697", "edit_slug": "edit/v/1022166697", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "LeBron James asks Sal Khan about which muscles we use when we shoot a basket.", "extra_properties": {"original_url": ""}, "node_slug": "v/lebron-asks---what-muscles-do-we-use-when-shooting-a-basket", "deleted": false, "backup_timestamp": "2013-09-26T15:37:51Z", "date_added": "2012-09-05T05:51:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.mp4/9qEaVwIXqR4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.mp4/9qEaVwIXqR4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.m3u8/9qEaVwIXqR4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9qEaVwIXqR4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022166697", "sha": "db654adf63aaa71977231c1f7fcd8912719be71e", "translated_description": "LeBron James asks Sal Khan about which muscles we use when we shoot a basket.", "image_url": "https://img.youtube.com/vi/9qEaVwIXqR4/hqdefault.jpg", "youtube_id": "9qEaVwIXqR4", "content_kind": "Video", "readable_id": "lebron-asks---what-muscles-do-we-use-when-shooting-a-basket"}, {"translated_youtube_id": "R8qygu1RUOI", "relative_url": "/video/lebron-asks-about-newton-s-3rd-law", "has_questions": false, "keywords": "lebron, khan, newton's, third, law", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-newton-s-3rd-law", "duration": 241, "translated_title": "LeBron Asks: How does shooting a basketball illustrate Newton's 3rd Law?", "translated_description_html": "How does a basketball apply a force to the shooter's hand?", "id": "1022249161", "description_html": "How does a basketball apply a force to the shooter's hand?", "title": "LeBron Asks: How does shooting a basketball illustrate Newton's 3rd Law?", "progress_key": "v1022249161", "edit_slug": "edit/v/1022249161", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "How does a basketball apply a force to the shooter's hand?", "extra_properties": null, "node_slug": "v/lebron-asks-about-newton-s-3rd-law", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-09-05T05:51:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/R8qygu1RUOI.mp4/R8qygu1RUOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R8qygu1RUOI.mp4/R8qygu1RUOI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R8qygu1RUOI.m3u8/R8qygu1RUOI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=R8qygu1RUOI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022249161", "sha": "19aab264757832308db99ea48b24ec6f3cab4349", "translated_description": "How does a basketball apply a force to the shooter's hand?", "image_url": "https://img.youtube.com/vi/R8qygu1RUOI/hqdefault.jpg", "youtube_id": "R8qygu1RUOI", "content_kind": "Video", "readable_id": "lebron-asks-about-newton-s-3rd-law"}, {"translated_youtube_id": "13E90TAtZ30", "relative_url": "/video/lebron-asks-about-comparing-earth-s-history-to-a-basketball-game", "has_questions": false, "keywords": "lebron, khan", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-comparing-earth-s-history-to-a-basketball-game", "duration": 489, "translated_title": "LeBron Asks: If Earth's history were a basketball game, when did humans appear?", "translated_description_html": "LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth", "id": "1022060030", "description_html": "LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth", "title": "LeBron Asks: If Earth's history were a basketball game, when did humans appear?", "progress_key": "v1022060030", "edit_slug": "edit/v/1022060030", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth", "extra_properties": null, "node_slug": "v/lebron-asks-about-comparing-earth-s-history-to-a-basketball-game", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-05T05:52:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/13E90TAtZ30.mp4/13E90TAtZ30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/13E90TAtZ30.mp4/13E90TAtZ30.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/13E90TAtZ30.m3u8/13E90TAtZ30.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=13E90TAtZ30&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022060030", "sha": "3fe8fe5dbaf483dc4fc3bbcbb6220a27e178bf0b", "translated_description": "LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth", "image_url": "https://img.youtube.com/vi/13E90TAtZ30/hqdefault.jpg", "youtube_id": "13E90TAtZ30", "content_kind": "Video", "readable_id": "lebron-asks-about-comparing-earth-s-history-to-a-basketball-game"}, {"translated_youtube_id": "jgnNhL2jSXY", "relative_url": "/video/lebron-asks--why-does-sweating-cool-you-down", "has_questions": false, "keywords": "lebron, khan, academy, evaporative, cooling", "ka_url": "http://www.khanacademy.org/video/lebron-asks--why-does-sweating-cool-you-down", "duration": 341, "translated_title": "LeBron Asks: Why does sweating cool you down?", "translated_description_html": "LeBron asks Sal why sweating helps cool the body down.", "id": "1022193589", "description_html": "LeBron asks Sal why sweating helps cool the body down.", "title": "LeBron Asks: Why does sweating cool you down?", "progress_key": "v1022193589", "edit_slug": "edit/v/1022193589", "author_names": ["LeBron James", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "LeBron asks Sal why sweating helps cool the body down.", "extra_properties": null, "node_slug": "v/lebron-asks--why-does-sweating-cool-you-down", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-05T05:45:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jgnNhL2jSXY.mp4/jgnNhL2jSXY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jgnNhL2jSXY.mp4/jgnNhL2jSXY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jgnNhL2jSXY.m3u8/jgnNhL2jSXY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jgnNhL2jSXY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022193589", "sha": "c7ead4a8c5be9d0a8a2e17f9722507c8fc1a0912", "translated_description": "LeBron asks Sal why sweating helps cool the body down.", "image_url": "https://img.youtube.com/vi/jgnNhL2jSXY/hqdefault.jpg", "youtube_id": "jgnNhL2jSXY", "content_kind": "Video", "readable_id": "lebron-asks--why-does-sweating-cool-you-down"}, {"translated_youtube_id": "Jgliqx42_BA", "relative_url": "/video/lebron-asks---why-does-humidity-make-it-feel-hotter", "has_questions": false, "keywords": "lebron, khan", "ka_url": "http://www.khanacademy.org/video/lebron-asks---why-does-humidity-make-it-feel-hotter", "duration": 394, "translated_title": "LeBron Asks: Why does humidity make it feel hotter?", "translated_description_html": "LeBron asks Sal why humidity makes it feel so much hotter.", "id": "1021984988", "description_html": "LeBron asks Sal why humidity makes it feel so much hotter.", "title": "LeBron Asks: Why does humidity make it feel hotter?", "progress_key": "v1021984988", "edit_slug": "edit/v/1021984988", "author_names": ["LeBron James", "Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "LeBron asks Sal why humidity makes it feel so much hotter.", "extra_properties": null, "node_slug": "v/lebron-asks---why-does-humidity-make-it-feel-hotter", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-09-05T05:46:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jgliqx42_BA.mp4/Jgliqx42_BA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jgliqx42_BA.mp4/Jgliqx42_BA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Jgliqx42_BA.m3u8/Jgliqx42_BA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Jgliqx42_BA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1021984988", "sha": "7373f87161965be5619e553d29f6d904b3e8b883", "translated_description": "LeBron asks Sal why humidity makes it feel so much hotter.", "image_url": "https://img.youtube.com/vi/Jgliqx42_BA/hqdefault.jpg", "youtube_id": "Jgliqx42_BA", "content_kind": "Video", "readable_id": "lebron-asks---why-does-humidity-make-it-feel-hotter"}, {"translated_youtube_id": "iMqCSgqzmiQ", "relative_url": "/video/lebron-asks-about-the-chances-of-making-10-free-throws", "has_questions": false, "keywords": "marquee, lebron, james, probability, miami, heat, khan, academy, marquee", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-the-chances-of-making-10-free-throws", "duration": 425, "translated_title": "LeBron asks: What are the chances of making 10 free throws in a row?", "translated_description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "id": "753767269", "description_html": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "title": "LeBron asks: What are the chances of making 10 free throws in a row?", "progress_key": "v753767269", "edit_slug": "edit/v/753767269", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "extra_properties": null, "node_slug": "v/lebron-asks-about-the-chances-of-making-10-free-throws", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-04-30T15:16:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iMqCSgqzmiQ.m3u8/iMqCSgqzmiQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=iMqCSgqzmiQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v753767269", "sha": "9c4cadca1ed9299e2cbc8d7d232c21433764430f", "translated_description": "LeBron James asks Sal how to determine the probability of making 10 free throws in a row", "image_url": "https://img.youtube.com/vi/iMqCSgqzmiQ/hqdefault.jpg", "youtube_id": "iMqCSgqzmiQ", "content_kind": "Video", "readable_id": "lebron-asks-about-the-chances-of-making-10-free-throws"}, {"translated_youtube_id": "PddbEVNMgTY", "relative_url": "/video/lebron-asks-about-free-throws-versus-three-pointers", "has_questions": false, "keywords": "probability, math, basketball", "ka_url": "http://www.khanacademy.org/video/lebron-asks-about-free-throws-versus-three-pointers", "duration": 347, "translated_title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "translated_description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "id": "1022209423", "description_html": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "title": "LeBron asks: What are the chances of three free throws versus one three pointer?", "progress_key": "v1022209423", "edit_slug": "edit/v/1022209423", "author_names": ["Sal Khan", "LeBron James"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "extra_properties": null, "node_slug": "v/lebron-asks-about-free-throws-versus-three-pointers", "deleted": false, "backup_timestamp": "2013-09-26T18:42:36Z", "date_added": "2012-09-05T05:56:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.mp4/PddbEVNMgTY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PddbEVNMgTY.m3u8/PddbEVNMgTY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PddbEVNMgTY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1022209423", "sha": "bcb9bc80fdd090bb5dbe8c01b7c85a674f1497fa", "translated_description": "LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.", "image_url": "https://img.youtube.com/vi/PddbEVNMgTY/hqdefault.jpg", "youtube_id": "PddbEVNMgTY", "content_kind": "Video", "readable_id": "lebron-asks-about-free-throws-versus-three-pointers"}, {"translated_youtube_id": "-fCVxTTAtFQ", "relative_url": "/video/monte-carlo-simulation-to-answer-lebron-s-question", "has_questions": false, "keywords": "marquee", "ka_url": "http://www.khanacademy.org/video/monte-carlo-simulation-to-answer-lebron-s-question", "duration": 491, "translated_title": "Monte Carlo simulation to answer LeBron's question", "translated_description_html": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "id": "1094139389", "description_html": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "title": "Monte Carlo simulation to answer LeBron's question", "progress_key": "v1094139389", "edit_slug": "edit/v/1094139389", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "extra_properties": null, "node_slug": "v/monte-carlo-simulation-to-answer-lebron-s-question", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-18T17:39:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.mp4/-fCVxTTAtFQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.mp4/-fCVxTTAtFQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-fCVxTTAtFQ.m3u8/-fCVxTTAtFQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-fCVxTTAtFQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1094139389", "sha": "2c303ddd400fa3267febdf5ed75069e737bb2e5a", "translated_description": "When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511", "image_url": "https://img.youtube.com/vi/-fCVxTTAtFQ/hqdefault.jpg", "youtube_id": "-fCVxTTAtFQ", "content_kind": "Video", "readable_id": "monte-carlo-simulation-to-answer-lebron-s-question"}], "twitter_url": "", "translated_description": "LeBron James asks questions about math and science, and we answer!", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "LeBron James asks questions about math and science, and we answer!", "x_pos": 0.0, "node_slug": "lebron-asks", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "UncuratedTutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe9b9297e", "topic_page_url": "/partner-content/lebron-asks-subject/lebron-asks", "extended_slug": "partner-content/lebron-asks-subject/lebron-asks", "slug": "lebron-asks", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "4dd5c1446c4a25235d952a7b64944262a1ebad5f", "standalone_title": "LeBron asks", "y_pos": 0.0, "current_revision_key": "4dd5c1446c4a25235d952a7b64944262a1ebad5f", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "LeBron James asks questions about math and science, and we answer!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "LeBron James asks questions about math and science, and we answer!", "x_pos": 0.0, "node_slug": "lebron-asks-subject", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T02:24:02Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc579d153", "topic_page_url": "/partner-content/lebron-asks-subject", "extended_slug": "partner-content/lebron-asks-subject", "slug": "lebron-asks-subject", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7a11b05938712c994e2d6822d8a7793766df97f9", "standalone_title": "LeBron asks", "y_pos": 0.0, "current_revision_key": "7a11b05938712c994e2d6822d8a7793766df97f9", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "partner-content", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-01T16:18:56Z", "render_type": "Domain", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54390c7e", "topic_page_url": null, "extended_slug": "partner-content", "slug": "partner-content", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8cb40152708cb7dfa61c271f75b6c7448f533f67", "standalone_title": "Partner content", "y_pos": 0.0, "current_revision_key": "8cb40152708cb7dfa61c271f75b6c7448f533f67", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs", "web_url": "", "ka_url": "http://www.khanacademy.org/cs", "translated_standalone_title": "Computer programming", "translated_title": "Computer programming", "gplus_url": "", "id": "xffde7c31", "old_key_name": null, "hide": false, "title": "Computer programming", "child_data": [{"kind": "Topic", "id": "x05187c3c"}, {"kind": "Topic", "id": "x3ae0237e"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming", "translated_standalone_title": "Drawing and animation programming", "translated_title": "Drawing and animation", "gplus_url": "", "id": "x05187c3c", "old_key_name": null, "hide": false, "title": "Drawing and animation", "child_data": [{"kind": "Topic", "id": "x8edeb601"}, {"kind": "Topic", "id": "xf53d7aa7"}, {"kind": "Topic", "id": "x8686923b"}, {"kind": "Topic", "id": "x3312fbc8"}, {"kind": "Topic", "id": "xb0180d93"}, {"kind": "Topic", "id": "xc4ab8747"}, {"kind": "Topic", "id": "x7323ca45"}, {"kind": "Topic", "id": "x2f8e35eb"}, {"kind": "Topic", "id": "x54f8c602"}, {"kind": "Topic", "id": "x611e8e74"}, {"kind": "Topic", "id": "x8d3377f2"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/intro-to-programming", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/intro-to-programming", "translated_standalone_title": "Intro to programming", "translated_title": "Intro to programming", "gplus_url": "", "id": "x8edeb601", "old_key_name": null, "hide": false, "title": "Intro to programming", "child_data": [{"kind": "Video", "id": "x7aa228af"}, {"kind": "Scratchpad", "id": 1881142843}, {"kind": "Video", "id": "x6f0a35be"}], "children": [{"translated_youtube_id": "eIndU6kmH58", "relative_url": "/video/programming-intro", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/programming-intro", "duration": 143, "translated_title": "What is Programming?", "translated_description_html": "", "id": "x7aa228af", "description_html": "", "title": "What is Programming?", "progress_key": "vx7aa228af", "edit_slug": "edit/v/x7aa228af", "author_names": ["Pamela Fox"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/programming-intro", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-19T23:34:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eIndU6kmH58.mp4/eIndU6kmH58.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eIndU6kmH58.mp4/eIndU6kmH58.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eIndU6kmH58.m3u8/eIndU6kmH58.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eIndU6kmH58&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx7aa228af", "sha": "dfb06af3501479150506ffc11af95f10c1d1a25d", "translated_description": "", "image_url": "https://img.youtube.com/vi/eIndU6kmH58/hqdefault.jpg", "youtube_id": "eIndU6kmH58", "content_kind": "Video", "readable_id": "programming-intro"}, {"translated_youtube_id": "jsDOHy8pHTg", "relative_url": "/video/programming-tour", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/programming-tour", "duration": 375, "translated_title": "A Tour of Programming on Khan Academy", "translated_description_html": "", "id": "x6f0a35be", "description_html": "", "title": "A Tour of Programming on Khan Academy", "progress_key": "vx6f0a35be", "edit_slug": "edit/v/x6f0a35be", "author_names": ["Pamela Fox"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/programming-tour", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-19T23:34:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jsDOHy8pHTg.mp4/jsDOHy8pHTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jsDOHy8pHTg.mp4/jsDOHy8pHTg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jsDOHy8pHTg.m3u8/jsDOHy8pHTg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jsDOHy8pHTg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6f0a35be", "sha": "10660a897b43aefba86ba8d327f14bebd7875a8d", "translated_description": "", "image_url": "https://img.youtube.com/vi/jsDOHy8pHTg/hqdefault.jpg", "youtube_id": "jsDOHy8pHTg", "content_kind": "Video", "readable_id": "programming-tour"}], "twitter_url": "", "translated_description": "If you've never been here before, check out this introductory video first. Then get coding!", "deleted_mod_time": "2013-07-21T23:11:34Z", "logo_image_url": "", "in_knowledge_map": false, "description": "If you've never been here before, check out this introductory video first. Then get coding!", "x_pos": 0.0, "node_slug": "intro-to-programming", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-21T23:16:38Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8edeb601", "topic_page_url": "/cs/programming/intro-to-programming", "extended_slug": "cs/programming/intro-to-programming", "slug": "intro-to-programming", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "abbe982b99079ee165f951cdc07635b00c92b0d2", "standalone_title": "Intro to programming", "y_pos": 0.0, "current_revision_key": "abbe982b99079ee165f951cdc07635b00c92b0d2", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/drawing-basics", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/drawing-basics", "translated_standalone_title": "Drawing basics", "translated_title": "Drawing basics", "gplus_url": "", "id": "xf53d7aa7", "old_key_name": null, "hide": false, "title": "Drawing basics", "child_data": [{"kind": "Scratchpad", "id": 1968258156}, {"kind": "Scratchpad", "id": 2040170141}, {"kind": "Scratchpad", "id": 1977309939}, {"kind": "Scratchpad", "id": 1931501556}, {"kind": "Scratchpad", "id": 1931406602}, {"kind": "Scratchpad", "id": 844038377}, {"kind": "Scratchpad", "id": 1931511584}, {"kind": "Scratchpad", "id": 1931295721}, {"kind": "Scratchpad", "id": 2510603406}], "children": [], "twitter_url": "", "translated_description": "We'll show you the basics of programming and how to draw shapes and color them in.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "We'll show you the basics of programming and how to draw shapes and color them in.", "x_pos": 0.0, "node_slug": "drawing-basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-18T22:07:42Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf53d7aa7", "topic_page_url": "/cs/programming/drawing-basics", "extended_slug": "cs/programming/drawing-basics", "slug": "drawing-basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "252dcec97c818eb307f9a797ded3e7be7ab9170f", "standalone_title": "Drawing basics", "y_pos": 0.0, "current_revision_key": "252dcec97c818eb307f9a797ded3e7be7ab9170f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/variables", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/variables", "translated_standalone_title": "Variables", "translated_title": "Variables", "gplus_url": "", "id": "x8686923b", "old_key_name": null, "hide": false, "title": "Variables", "child_data": [{"kind": "Scratchpad", "id": 825241936}, {"kind": "Scratchpad", "id": 1912068525}, {"kind": "Scratchpad", "id": 848607462}, {"kind": "Scratchpad", "id": 2039979798}, {"kind": "Scratchpad", "id": 2261307588}, {"kind": "Scratchpad", "id": 5123294386716672}, {"kind": "Scratchpad", "id": 2538999820}, {"kind": "Scratchpad", "id": 2557337596}], "children": [], "twitter_url": "", "translated_description": "We'll cover how to use variables to hold values, animate your drawings, and more.", "deleted_mod_time": "2013-07-21T23:11:33Z", "logo_image_url": "", "in_knowledge_map": false, "description": "We'll cover how to use variables to hold values, animate your drawings, and more.", "x_pos": 0.0, "node_slug": "variables", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8686923b", "topic_page_url": "/cs/programming/variables", "extended_slug": "cs/programming/variables", "slug": "variables", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "2c00f662e622513fac235110541779ff79372bab", "standalone_title": "Variables", "y_pos": 0.0, "current_revision_key": "2c00f662e622513fac235110541779ff79372bab", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/animation-basics", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/animation-basics", "translated_standalone_title": "Animation basics", "translated_title": "Animation basics", "gplus_url": "", "id": "x3312fbc8", "old_key_name": null, "hide": false, "title": "Animation basics", "child_data": [{"kind": "Scratchpad", "id": 830742281}, {"kind": "Scratchpad", "id": 2050946856}, {"kind": "Scratchpad", "id": 836683206}, {"kind": "Scratchpad", "id": 2063745173}, {"kind": "Scratchpad", "id": 2543357188}, {"kind": "Scratchpad", "id": 877551296}, {"kind": "Scratchpad", "id": 2093483305}, {"kind": "Scratchpad", "id": 836931789}, {"kind": "Scratchpad", "id": 2546646424}], "children": [], "twitter_url": "", "translated_description": "Learn how to animate your drawings.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how to animate your drawings.", "x_pos": 0.0, "node_slug": "animation-basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T23:13:07Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax3312fbc8", "topic_page_url": "/cs/programming/animation-basics", "extended_slug": "cs/programming/animation-basics", "slug": "animation-basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "49a3328a4545a9f9bcc377e59d24c731af15cb1b", "standalone_title": "Animation basics", "y_pos": 0.0, "current_revision_key": "49a3328a4545a9f9bcc377e59d24c731af15cb1b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/text-basics", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/text-basics", "translated_standalone_title": "Text", "translated_title": "Text", "gplus_url": "", "id": "xb0180d93", "old_key_name": null, "hide": false, "title": "Text", "child_data": [{"kind": "Scratchpad", "id": 1887214592}, {"kind": "Scratchpad", "id": 2073015346}, {"kind": "Scratchpad", "id": 1887341917}, {"kind": "Scratchpad", "id": 2072888717}, {"kind": "Scratchpad", "id": 2531560726}], "children": [], "twitter_url": "", "translated_description": "Learn how to display text on the canvas, resize it, color it, and animate it.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how to display text on the canvas, resize it, color it, and animate it.", "x_pos": 0.0, "node_slug": "text-basics", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-22T00:23:59Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb0180d93", "topic_page_url": "/cs/programming/text-basics", "extended_slug": "cs/programming/text-basics", "slug": "text-basics", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0c52b4d38ba2ff5ee25ceba4175eb468697eede7", "standalone_title": "Text", "y_pos": 0.0, "current_revision_key": "0c52b4d38ba2ff5ee25ceba4175eb468697eede7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/functions", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/functions", "translated_standalone_title": "Functions", "translated_title": "Functions", "gplus_url": "", "id": "xc4ab8747", "old_key_name": null, "hide": false, "title": "Functions", "child_data": [{"kind": "Scratchpad", "id": 2143079864}, {"kind": "Scratchpad", "id": 2144527253}, {"kind": "Scratchpad", "id": 2143920476}, {"kind": "Scratchpad", "id": 2144527285}, {"kind": "Scratchpad", "id": 2144066883}, {"kind": "Scratchpad", "id": 2144057841}, {"kind": "Scratchpad", "id": 2158553772}, {"kind": "Scratchpad", "id": 2158089816}], "children": [], "twitter_url": "", "translated_description": "Make your code more re-usable by grouping it into functions, and then make those functions accept parameters and return values.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Make your code more re-usable by grouping it into functions, and then make those functions accept parameters and return values.", "x_pos": 0.0, "node_slug": "functions", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-03T16:03:29Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc4ab8747", "topic_page_url": "/cs/programming/functions", "extended_slug": "cs/programming/functions", "slug": "functions", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "20523f0cb08325f53cc787db5c454c167b2e8ebb", "standalone_title": "Functions", "y_pos": 0.0, "current_revision_key": "20523f0cb08325f53cc787db5c454c167b2e8ebb", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/logic-if-statements", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/logic-if-statements", "translated_standalone_title": "Logic and if Statements", "translated_title": "Logic and if Statements", "gplus_url": "", "id": "x7323ca45", "old_key_name": null, "hide": false, "title": "Logic and if Statements", "child_data": [{"kind": "Scratchpad", "id": 836708402}, {"kind": "Scratchpad", "id": 5048127140659200}, {"kind": "Scratchpad", "id": 2032823940}, {"kind": "Scratchpad", "id": 5479414871621632}, {"kind": "Scratchpad", "id": 839898911}, {"kind": "Scratchpad", "id": 2156959944}, {"kind": "Scratchpad", "id": 2113898254}, {"kind": "Scratchpad", "id": 2103380848}, {"kind": "Scratchpad", "id": 2110825003}, {"kind": "Scratchpad", "id": 986012057}, {"kind": "Scratchpad", "id": 2142687365}, {"kind": "Scratchpad", "id": 985924758}, {"kind": "Scratchpad", "id": 2545987231}], "children": [], "twitter_url": "", "translated_description": "Teach your program to make decisions!", "deleted_mod_time": "2013-07-21T23:11:33Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Teach your program to make decisions!", "x_pos": 0.0, "node_slug": "logic-if-statements", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-02T22:57:30Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7323ca45", "topic_page_url": "/cs/programming/logic-if-statements", "extended_slug": "cs/programming/logic-if-statements", "slug": "logic-if-statements", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b5cab216ee0dc4d92ed098b0e6bffb6b3ec97503", "standalone_title": "Logic and if Statements", "y_pos": 0.0, "current_revision_key": "b5cab216ee0dc4d92ed098b0e6bffb6b3ec97503", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/looping", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/looping", "translated_standalone_title": "Looping", "translated_title": "Looping", "gplus_url": "", "id": "x2f8e35eb", "old_key_name": null, "hide": false, "title": "Looping", "child_data": [{"kind": "Scratchpad", "id": 2081388243}, {"kind": "Scratchpad", "id": 2145303404}], "children": [], "twitter_url": "", "translated_description": "Repeating something over-and-over? Loops are here to help!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Repeating something over-and-over? Loops are here to help!", "x_pos": 0.0, "node_slug": "looping", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-04T01:35:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax2f8e35eb", "topic_page_url": "/cs/programming/looping", "extended_slug": "cs/programming/looping", "slug": "looping", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f431fa0d00276990f357b3ee1dcc2f1faf3346f1", "standalone_title": "Looping", "y_pos": 0.0, "current_revision_key": "f431fa0d00276990f357b3ee1dcc2f1faf3346f1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/arrays", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/arrays", "translated_standalone_title": "Arrays", "translated_title": "Arrays", "gplus_url": "", "id": "x54f8c602", "old_key_name": null, "hide": false, "title": "Arrays", "child_data": [{"kind": "Scratchpad", "id": 2152694739}, {"kind": "Scratchpad", "id": 2243790989}, {"kind": "Scratchpad", "id": 2153938073}, {"kind": "Scratchpad", "id": 2245701436}, {"kind": "Scratchpad", "id": 2158868138}], "children": [], "twitter_url": "", "translated_description": "Store multiple values in your variables with arrays!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Store multiple values in your variables with arrays!", "x_pos": 0.0, "node_slug": "arrays", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-04T01:35:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54f8c602", "topic_page_url": "/cs/programming/arrays", "extended_slug": "cs/programming/arrays", "slug": "arrays", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "027d77733ab8c4c6ad1381db5d2dcd6ad3a0a092", "standalone_title": "Arrays", "y_pos": 0.0, "current_revision_key": "027d77733ab8c4c6ad1381db5d2dcd6ad3a0a092", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/objects", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/objects", "translated_standalone_title": "Objects", "translated_title": "Objects", "gplus_url": "", "id": "x611e8e74", "old_key_name": null, "hide": false, "title": "Objects", "child_data": [{"kind": "Scratchpad", "id": 2303521461}, {"kind": "Scratchpad", "id": 2324527100}, {"kind": "Scratchpad", "id": 2330727562}], "children": [], "twitter_url": "", "translated_description": "Learn how to store complex data in objects.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how to store complex data in objects.", "x_pos": 0.0, "node_slug": "objects", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-25T23:01:07Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax611e8e74", "topic_page_url": "/cs/programming/objects", "extended_slug": "cs/programming/objects", "slug": "objects", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "84076e656970db780c62bd6afdf7bcc05b344b4c", "standalone_title": "Objects", "y_pos": 0.0, "current_revision_key": "84076e656970db780c62bd6afdf7bcc05b344b4c", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/cs/programming/good-practices", "web_url": "", "ka_url": "http://www.khanacademy.org/cs/programming/good-practices", "translated_standalone_title": "Becoming a better programmer", "translated_title": "Becoming a better programmer", "gplus_url": "", "id": "x8d3377f2", "old_key_name": null, "hide": false, "title": "Becoming a better programmer", "child_data": [{"kind": "Video", "id": "xa84559de"}, {"kind": "Scratchpad", "id": 6392019672891392}, {"kind": "Scratchpad", "id": 1981573965}, {"kind": "Scratchpad", "id": 2048804437}, {"kind": "Article", "id": "xec13d425"}], "children": [{"translated_youtube_id": "If3KlMxbtcc", "relative_url": "/video/the-power-of-the-docs", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-power-of-the-docs", "duration": 370, "translated_title": "The Power of the Docs", "translated_description_html": "", "id": "xa84559de", "description_html": "", "title": "The Power of the Docs", "progress_key": "vxa84559de", "edit_slug": "edit/v/xa84559de", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/the-power-of-the-docs", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-30T00:37:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/If3KlMxbtcc.mp4/If3KlMxbtcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/If3KlMxbtcc.mp4/If3KlMxbtcc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/If3KlMxbtcc.m3u8/If3KlMxbtcc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=If3KlMxbtcc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxa84559de", "sha": "faa09f64654f157908a28ab6f7f917c167f20a89", "translated_description": "", "image_url": "https://img.youtube.com/vi/If3KlMxbtcc/hqdefault.jpg", "youtube_id": "If3KlMxbtcc", "content_kind": "Video", "readable_id": "the-power-of-the-docs"}], "twitter_url": "", "translated_description": "Now that you understand the basics of programming, learn techniques that will help you be more productive and write more beautiful code.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Now that you understand the basics of programming, learn techniques that will help you be more productive and write more beautiful code.", "x_pos": 0.0, "node_slug": "good-practices", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T01:18:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax8d3377f2", "topic_page_url": "/cs/programming/good-practices", "extended_slug": "cs/programming/good-practices", "slug": "good-practices", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "f561a6a33c1c71a1cc8fb031f579614ab7c37070", "standalone_title": "Becoming a better programmer", "y_pos": 0.0, "current_revision_key": "f561a6a33c1c71a1cc8fb031f579614ab7c37070", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Programming is how we tell computers what we want them to do, like to build iPhone apps, video games, or websites like this one. At Khan Academy, you can use our programming environment to build graphics, animations, and interactive visualizations. If you've never programmed before, follow these tutorials to learn how!", "deleted_mod_time": "2013-07-21T23:11:33Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Programming is how we tell computers what we want them to do, like to build iPhone apps, video games, or websites like this one. At Khan Academy, you can use our programming environment to build graphics, animations, and interactive visualizations. If you've never programmed before, follow these tutorials to learn how!", "x_pos": 0.0, "node_slug": "programming", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-24T00:32:46Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax05187c3c", "topic_page_url": "/cs/programming", "extended_slug": "cs/programming", "slug": "programming", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "393b92cf5cc13812929d825fda2852edab10b388", "standalone_title": "Drawing and animation programming", "y_pos": 0.0, "current_revision_key": "393b92cf5cc13812929d825fda2852edab10b388", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Learn the fundamentals of programming on the Khan Academy Computer Science platform. Explore programs made by others. Write your own programs and share them!", "deleted_mod_time": "2013-07-21T23:11:34Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn the fundamentals of programming on the Khan Academy Computer Science platform. Explore programs made by others. Write your own programs and share them!", "x_pos": 0.0, "node_slug": "cs", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-06T16:25:14Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axffde7c31", "topic_page_url": "/cs", "extended_slug": "cs", "slug": "cs", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "d0852f23fe04ed2f9c09ad5a7d1bc75cc258b50d", "standalone_title": "Computer programming", "y_pos": 0.0, "current_revision_key": "d0852f23fe04ed2f9c09ad5a7d1bc75cc258b50d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews", "translated_standalone_title": "Khan Academy-related talks and interviews", "translated_title": "Talks and interviews", "gplus_url": "", "id": "xd1039e22", "old_key_name": "0d3veoeP3Nho6OWSepxBQ0Z79-tSyjMS-Ck2em7N", "hide": false, "title": "Talks and interviews", "child_data": [{"kind": "Topic", "id": "xb90c573f"}, {"kind": "Topic", "id": "xe4760eb7"}, {"kind": "Topic", "id": "x293eb078"}, {"kind": "Topic", "id": "x5d625880"}, {"kind": "Topic", "id": "x56787f18"}, {"kind": "Topic", "id": "x87e793db"}, {"kind": "Topic", "id": "xdea303c8"}, {"kind": "Topic", "id": "x39b8b564"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/key-media-pieces", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/key-media-pieces", "translated_standalone_title": "Big picture talks and media", "translated_title": "Big picture talks and media", "gplus_url": "", "id": "xb90c573f", "old_key_name": "vzDmQHbV26WwbdRVUVp4w--jSMSQufAO9BVSznSz", "hide": false, "title": "Big picture talks and media", "child_data": [{"kind": "Video", "id": 33759733}, {"kind": "Video", "id": 692060795}, {"kind": "Video", "id": "x1ecf5f41"}, {"kind": "Video", "id": 2600584}], "children": [{"translated_youtube_id": "gM95HHI4gLk", "relative_url": "/video/salman-khan-talk-at-ted-2011--from-ted-com", "has_questions": false, "keywords": "Salman, Khan, talk, at, TED, 2011", "ka_url": "http://www.khanacademy.org/video/salman-khan-talk-at-ted-2011--from-ted-com", "duration": 1228, "translated_title": "Salman Khan talk at TED 2011 (from ted.com)", "translated_description_html": "Salman Khan talk at TED 2011 (from ted.com)", "id": "33759733", "description_html": "Salman Khan talk at TED 2011 (from ted.com)", "title": "Salman Khan talk at TED 2011 (from ted.com)", "progress_key": "v33759733", "edit_slug": "edit/v/33759733", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan talk at TED 2011 (from ted.com)", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-talk-at-ted-2011--from-ted-com", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:28:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/gM95HHI4gLk.mp4/gM95HHI4gLk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gM95HHI4gLk.mp4/gM95HHI4gLk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gM95HHI4gLk.m3u8/gM95HHI4gLk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=gM95HHI4gLk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-nd", "global_id": "v33759733", "sha": "12fa66fb402cd2ed98b5c39824e73902d1edab35", "translated_description": "Salman Khan talk at TED 2011 (from ted.com)", "image_url": "https://img.youtube.com/vi/gM95HHI4gLk/hqdefault.jpg", "youtube_id": "gM95HHI4gLk", "content_kind": "Video", "readable_id": "salman-khan-talk-at-ted-2011--from-ted-com"}, {"translated_youtube_id": "9kh60v5PxMk", "relative_url": "/video/khan-academy--the-future-of-education", "has_questions": false, "keywords": "khan, academy, future, education, teacher, free, online, educational, videos, bill gates, google, eric schmidt, sal khan, 60 minutes, sanjay gupta", "ka_url": "http://www.khanacademy.org/video/khan-academy--the-future-of-education", "duration": 807, "translated_title": "60 minutes: The future of education?", "translated_description_html": "With the backing of Gates and Google, Khan Academy and its free online educational videos are moving into the classroom and across the world. Their goal: to revolutionize how we teach and learn. Sanjay Gupta reports.", "id": "692060795", "description_html": "With the backing of Gates and Google, Khan Academy and its free online educational videos are moving into the classroom and across the world. Their goal: to revolutionize how we teach and learn. Sanjay Gupta reports.", "title": "60 minutes: The future of education?", "progress_key": "v692060795", "edit_slug": "edit/v/692060795", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "With the backing of Gates and Google, Khan Academy and its free online educational videos are moving into the classroom and across the world. Their goal: to revolutionize how we teach and learn. Sanjay Gupta reports.", "extra_properties": null, "node_slug": "v/khan-academy--the-future-of-education", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-03-29T18:12:35Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9kh60v5PxMk.mp4/9kh60v5PxMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9kh60v5PxMk.mp4/9kh60v5PxMk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9kh60v5PxMk.m3u8/9kh60v5PxMk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9kh60v5PxMk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v692060795", "sha": "3d49b2c36ff10f00f36767bddb0fdfad2268b81a", "translated_description": "With the backing of Gates and Google, Khan Academy and its free online educational videos are moving into the classroom and across the world. Their goal: to revolutionize how we teach and learn. Sanjay Gupta reports.", "image_url": "https://img.youtube.com/vi/9kh60v5PxMk/hqdefault.jpg", "youtube_id": "9kh60v5PxMk", "content_kind": "Video", "readable_id": "khan-academy--the-future-of-education"}, {"translated_youtube_id": "LiPQuOFVHl4", "relative_url": "/video/charlie-rose-2013", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/charlie-rose-2013", "duration": 1219, "translated_title": "Salman Khan on Charlie Rose 2013", "translated_description_html": "", "id": "x1ecf5f41", "description_html": "", "title": "Salman Khan on Charlie Rose 2013", "progress_key": "vx1ecf5f41", "edit_slug": "edit/v/x1ecf5f41", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/charlie-rose-2013", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-03-27T16:22:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LiPQuOFVHl4.mp4/LiPQuOFVHl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LiPQuOFVHl4.mp4/LiPQuOFVHl4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LiPQuOFVHl4.m3u8/LiPQuOFVHl4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LiPQuOFVHl4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx1ecf5f41", "sha": "6bd3e60985d5b9a43f290528031d37941df52c0c", "translated_description": "", "image_url": "https://img.youtube.com/vi/LiPQuOFVHl4/hqdefault.jpg", "youtube_id": "LiPQuOFVHl4", "content_kind": "Video", "readable_id": "charlie-rose-2013"}, {"translated_youtube_id": "6A07Pj71TUA", "relative_url": "/video/bill-gates-talks-about-the-khan-academy-at-aspen-ideas-festival-2010", "has_questions": false, "keywords": "Bill, Gates, talks, about, the, Khan, Academy, at, Aspen, Ideas, Festival, 2010", "ka_url": "http://www.khanacademy.org/video/bill-gates-talks-about-the-khan-academy-at-aspen-ideas-festival-2010", "duration": 125, "translated_title": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "translated_description_html": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "id": "2600584", "description_html": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "title": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "progress_key": "v2600584", "edit_slug": "edit/v/2600584", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "extra_properties": {"original_url": ""}, "node_slug": "v/bill-gates-talks-about-the-khan-academy-at-aspen-ideas-festival-2010", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6A07Pj71TUA.mp4/6A07Pj71TUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6A07Pj71TUA.mp4/6A07Pj71TUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6A07Pj71TUA.m3u8/6A07Pj71TUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6A07Pj71TUA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v2600584", "sha": "7bc0030ed73e3819fe53e142da45e558abc635cb", "translated_description": "Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010", "image_url": "https://img.youtube.com/vi/6A07Pj71TUA/hqdefault.jpg", "youtube_id": "6A07Pj71TUA", "content_kind": "Video", "readable_id": "bill-gates-talks-about-the-khan-academy-at-aspen-ideas-festival-2010"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "key-media-pieces", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:02:24Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb90c573f", "topic_page_url": "/talks-and-interviews/key-media-pieces", "extended_slug": "talks-and-interviews/key-media-pieces", "slug": "key-media-pieces", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "6954cc9c4ee95b3075cd3ea7065656b3f412d8c5", "standalone_title": "Big picture talks and media", "y_pos": 0.0, "current_revision_key": "6954cc9c4ee95b3075cd3ea7065656b3f412d8c5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/hot-off-the-press", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/hot-off-the-press", "translated_standalone_title": "Hot off the press", "translated_title": "Hot off the press", "gplus_url": "", "id": "xe4760eb7", "old_key_name": null, "hide": false, "title": "Hot off the press", "child_data": [{"kind": "Video", "id": "x69aa1769"}, {"kind": "Article", "id": "xb92b1c40"}], "children": [{"translated_youtube_id": "d4UQFgAdxUs", "relative_url": "/video/today-show--tech-companies-changing-face-of-education", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/today-show--tech-companies-changing-face-of-education", "duration": 248, "translated_title": "TODAY Show: Tech companies changing face of education", "translated_description_html": "", "id": "x69aa1769", "description_html": "", "title": "TODAY Show: Tech companies changing face of education", "progress_key": "vx69aa1769", "edit_slug": "edit/v/x69aa1769", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/today-show--tech-companies-changing-face-of-education", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2013-06-21T00:16:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/d4UQFgAdxUs.mp4/d4UQFgAdxUs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d4UQFgAdxUs.mp4/d4UQFgAdxUs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d4UQFgAdxUs.m3u8/d4UQFgAdxUs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=d4UQFgAdxUs&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx69aa1769", "sha": "3bfff1b275304a6dd7174f7341c85091220d7db9", "translated_description": "", "image_url": "https://img.youtube.com/vi/d4UQFgAdxUs/hqdefault.jpg", "youtube_id": "d4UQFgAdxUs", "content_kind": "Video", "readable_id": "today-show--tech-companies-changing-face-of-education"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "hot-off-the-press", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-08T18:32:57Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe4760eb7", "topic_page_url": "/talks-and-interviews/hot-off-the-press", "extended_slug": "talks-and-interviews/hot-off-the-press", "slug": "hot-off-the-press", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "411326a6206917f17ecc3d885ec3f5ae8123a045", "standalone_title": "Hot off the press", "y_pos": 0.0, "current_revision_key": "411326a6206917f17ecc3d885ec3f5ae8123a045", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/our-vision", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/our-vision", "translated_standalone_title": "Our vision", "translated_title": "Our vision", "gplus_url": "", "id": "x293eb078", "old_key_name": "VnBx-0XcV3FM13jHJ43p8VCt-g57wqnoETBd_Pfr", "hide": false, "title": "Our vision", "child_data": [{"kind": "Video", "id": 986122252}, {"kind": "Video", "id": "xb00fec21"}, {"kind": "Video", "id": 692339213}, {"kind": "Video", "id": 692290629}, {"kind": "Video", "id": 690923584}, {"kind": "Video", "id": 1240497011}, {"kind": "Video", "id": 986015213}, {"kind": "Video", "id": 1240687212}, {"kind": "Video", "id": 465991904}, {"kind": "Video", "id": 215376846}, {"kind": "Video", "id": 965680935}], "children": [{"translated_youtube_id": "a6kwIBI3j98", "relative_url": "/video/khan-academy-vision", "has_questions": false, "keywords": "Khan, Academy, vision, blended, learning", "ka_url": "http://www.khanacademy.org/video/khan-academy-vision", "duration": 454, "translated_title": "Khan Academy Vision", "translated_description_html": "

Overview of what we hope Khan Academy can help catalyze.<\/p>\n", "id": "986122252", "description_html": "

Overview of what we hope Khan Academy can help catalyze.<\/p>\n", "title": "Khan Academy Vision", "progress_key": "v986122252", "edit_slug": "edit/v/986122252", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of what we hope Khan Academy can help catalyze.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-vision", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-21T22:08:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.mp4/a6kwIBI3j98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.mp4/a6kwIBI3j98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.m3u8/a6kwIBI3j98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a6kwIBI3j98&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v986122252", "sha": "a8e37f58cf4a86fbbe5746b33aa49b9261fba515", "translated_description": "Overview of what we hope Khan Academy can help catalyze.\n", "image_url": "https://img.youtube.com/vi/a6kwIBI3j98/hqdefault.jpg", "youtube_id": "a6kwIBI3j98", "content_kind": "Video", "readable_id": "khan-academy-vision"}, {"translated_youtube_id": "8IGREqSL_CE", "relative_url": "/video/sal-khan-at-adobe-digital-marketing-summit-2013", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-khan-at-adobe-digital-marketing-summit-2013", "duration": 1939, "translated_title": "Sal Khan at Adobe Digital Marketing Summit 2013", "translated_description_html": "Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT.", "id": "xb00fec21", "description_html": "Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT.", "title": "Sal Khan at Adobe Digital Marketing Summit 2013", "progress_key": "vxb00fec21", "edit_slug": "edit/v/xb00fec21", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT.", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan-at-adobe-digital-marketing-summit-2013", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-23T16:55:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/8IGREqSL_CE.mp4/8IGREqSL_CE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8IGREqSL_CE.mp4/8IGREqSL_CE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8IGREqSL_CE.m3u8/8IGREqSL_CE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=8IGREqSL_CE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxb00fec21", "sha": "cfe2ca9d24ec3fe825bca5a58352aa27da36e561", "translated_description": "Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT.", "image_url": "https://img.youtube.com/vi/8IGREqSL_CE/hqdefault.jpg", "youtube_id": "8IGREqSL_CE", "content_kind": "Video", "readable_id": "sal-khan-at-adobe-digital-marketing-summit-2013"}, {"translated_youtube_id": "bQ5DJUhV6vk", "relative_url": "/video/khan-academy-s--world-changing--plan-for-schools", "has_questions": false, "keywords": "khan, academy, future, education, teacher, free, online, educational, videos, revolutionize, team, plan, bill, gates, google, eric, schmidt, sal, 60, minutes, sanjay, gupta", "ka_url": "http://www.khanacademy.org/video/khan-academy-s--world-changing--plan-for-schools", "duration": 137, "translated_title": "60 minutes: Khan Academy's \"world-changing\" plan for schools", "translated_description_html": "Khan Academy's core team - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens and Jason Rosff - say they hope to revolutionize education.", "id": "692339213", "description_html": "Khan Academy's core team - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens and Jason Rosff - say they hope to revolutionize education.", "title": "60 minutes: Khan Academy's \"world-changing\" plan for schools", "progress_key": "v692339213", "edit_slug": "edit/v/692339213", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Khan Academy's core team - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens and Jason Rosff - say they hope to revolutionize education.", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-s--world-changing--plan-for-schools", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-29T18:14:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bQ5DJUhV6vk.mp4/bQ5DJUhV6vk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bQ5DJUhV6vk.mp4/bQ5DJUhV6vk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bQ5DJUhV6vk.m3u8/bQ5DJUhV6vk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bQ5DJUhV6vk&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v692339213", "sha": "f66e0ed583ec838e1a55e64cf1018fa8be230d00", "translated_description": "Khan Academy's core team - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens and Jason Rosff - say they hope to revolutionize education.", "image_url": "https://img.youtube.com/vi/bQ5DJUhV6vk/hqdefault.jpg", "youtube_id": "bQ5DJUhV6vk", "content_kind": "Video", "readable_id": "khan-academy-s--world-changing--plan-for-schools"}, {"translated_youtube_id": "VynMS1jxBn4", "relative_url": "/video/khan-academy--school-of-the-future", "has_questions": false, "keywords": "khan, academy, future, education, teacher, free, online, educational, videos, bill, gates, google, eric, schmidt, sal, 60, minutes, sanjay, gupta", "ka_url": "http://www.khanacademy.org/video/khan-academy--school-of-the-future", "duration": 131, "translated_title": "60 minutes: School of the future", "translated_description_html": "In Sal Khan's vision of the school of the future, the traditional classroom, school day, and even school year don't look like anything like our current system.", "id": "692290629", "description_html": "In Sal Khan's vision of the school of the future, the traditional classroom, school day, and even school year don't look like anything like our current system.", "title": "60 minutes: School of the future", "progress_key": "v692290629", "edit_slug": "edit/v/692290629", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "In Sal Khan's vision of the school of the future, the traditional classroom, school day, and even school year don't look like anything like our current system.", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy--school-of-the-future", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-29T18:17:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VynMS1jxBn4.mp4/VynMS1jxBn4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VynMS1jxBn4.mp4/VynMS1jxBn4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VynMS1jxBn4.m3u8/VynMS1jxBn4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VynMS1jxBn4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v692290629", "sha": "49ead40c823fbd1b9e0fcb666e1b219ab7c4eb7e", "translated_description": "In Sal Khan's vision of the school of the future, the traditional classroom, school day, and even school year don't look like anything like our current system.", "image_url": "https://img.youtube.com/vi/VynMS1jxBn4/hqdefault.jpg", "youtube_id": "VynMS1jxBn4", "content_kind": "Video", "readable_id": "khan-academy--school-of-the-future"}, {"translated_youtube_id": "_JBhxkPbijM", "relative_url": "/video/google-s-eric-schmidt-on-khan-academy", "has_questions": false, "keywords": "khan, academy, future, education, teacher, free, online, educational, videos, bill, gates, google, eric, schmidt, sal, 60, minutes, sanjay, gupta", "ka_url": "http://www.khanacademy.org/video/google-s-eric-schmidt-on-khan-academy", "duration": 68, "translated_title": "60 minutes: Google's Eric Schmidt on Khan Academy", "translated_description_html": "Eric Schmidt, the chairman of Google, explains why he's backing the work of Sal Khan and Khan Academy.", "id": "690923584", "description_html": "Eric Schmidt, the chairman of Google, explains why he's backing the work of Sal Khan and Khan Academy.", "title": "60 minutes: Google's Eric Schmidt on Khan Academy", "progress_key": "v690923584", "edit_slug": "edit/v/690923584", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Eric Schmidt, the chairman of Google, explains why he's backing the work of Sal Khan and Khan Academy.", "extra_properties": {"original_url": ""}, "node_slug": "v/google-s-eric-schmidt-on-khan-academy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-29T18:18:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_JBhxkPbijM.mp4/_JBhxkPbijM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_JBhxkPbijM.mp4/_JBhxkPbijM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_JBhxkPbijM.m3u8/_JBhxkPbijM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_JBhxkPbijM&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v690923584", "sha": "e641e737d510e4c8a5844dea4e89fb74b1293ebc", "translated_description": "Eric Schmidt, the chairman of Google, explains why he's backing the work of Sal Khan and Khan Academy.", "image_url": "https://img.youtube.com/vi/_JBhxkPbijM/hqdefault.jpg", "youtube_id": "_JBhxkPbijM", "content_kind": "Video", "readable_id": "google-s-eric-schmidt-on-khan-academy"}, {"translated_youtube_id": "vwyOv7PiC40", "relative_url": "/video/salman-khan-describes-future-classrooms-with-blended-learning", "has_questions": false, "keywords": "Discovery Lab, Sal, Hands-on Projects", "ka_url": "http://www.khanacademy.org/video/salman-khan-describes-future-classrooms-with-blended-learning", "duration": 201, "translated_title": "Salman Khan Describes Future Classrooms with Blended Learning", "translated_description_html": "Educational technology pioneer Salman Khan maps how online learning tools can help physical classrooms evolve to become hubs for creativity and hands-on experiences, and how Khan Academy and the Discovery Lab summer camp fit into that big picture.", "id": "1240497011", "description_html": "Educational technology pioneer Salman Khan maps how online learning tools can help physical classrooms evolve to become hubs for creativity and hands-on experiences, and how Khan Academy and the Discovery Lab summer camp fit into that big picture.", "title": "Salman Khan Describes Future Classrooms with Blended Learning", "progress_key": "v1240497011", "edit_slug": "edit/v/1240497011", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Educational technology pioneer Salman Khan maps how online learning tools can help physical classrooms evolve to become hubs for creativity and hands-on experiences, and how Khan Academy and the Discovery Lab summer camp fit into that big picture.", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-describes-future-classrooms-with-blended-learning", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-12-19T22:57:29Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vwyOv7PiC40.mp4/vwyOv7PiC40.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vwyOv7PiC40.mp4/vwyOv7PiC40.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vwyOv7PiC40.m3u8/vwyOv7PiC40.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vwyOv7PiC40&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1240497011", "sha": "754adb1321b67f40a1f21029d183b1114d4e7866", "translated_description": "Educational technology pioneer Salman Khan maps how online learning tools can help physical classrooms evolve to become hubs for creativity and hands-on experiences, and how Khan Academy and the Discovery Lab summer camp fit into that big picture.", "image_url": "https://img.youtube.com/vi/vwyOv7PiC40/hqdefault.jpg", "youtube_id": "vwyOv7PiC40", "content_kind": "Video", "readable_id": "salman-khan-describes-future-classrooms-with-blended-learning"}, {"translated_youtube_id": "0OtSs2xEpzY", "relative_url": "/video/sal-khan-video-lecture-on-digital-learning", "has_questions": false, "keywords": "Sal Khan, Khan Academy, Digital Learning, Digital Learning Day, education, technology, blended learning, school, teacher, lessons, student, classroom", "ka_url": "http://www.khanacademy.org/video/sal-khan-video-lecture-on-digital-learning", "duration": 709, "translated_title": "Sal Khan on Digital and Physical Learning", "translated_description_html": "In his trademark style, Sal Khan, founder of Khan Academy, walks viewers through the many ways digital technology can impact teaching and learning in a blended learning environment.", "id": "986015213", "description_html": "In his trademark style, Sal Khan, founder of Khan Academy, walks viewers through the many ways digital technology can impact teaching and learning in a blended learning environment.", "title": "Sal Khan on Digital and Physical Learning", "progress_key": "v986015213", "edit_slug": "edit/v/986015213", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "In his trademark style, Sal Khan, founder of Khan Academy, walks viewers through the many ways digital technology can impact teaching and learning in a blended learning environment.", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan-video-lecture-on-digital-learning", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-08-21T22:10:20Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0OtSs2xEpzY.mp4/0OtSs2xEpzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0OtSs2xEpzY.mp4/0OtSs2xEpzY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0OtSs2xEpzY.m3u8/0OtSs2xEpzY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0OtSs2xEpzY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v986015213", "sha": "7bf3ab68d9f16774079a04d60d0cbc710db9eb95", "translated_description": "In his trademark style, Sal Khan, founder of Khan Academy, walks viewers through the many ways digital technology can impact teaching and learning in a blended learning environment.", "image_url": "https://img.youtube.com/vi/0OtSs2xEpzY/hqdefault.jpg", "youtube_id": "0OtSs2xEpzY", "content_kind": "Video", "readable_id": "sal-khan-video-lecture-on-digital-learning"}, {"translated_youtube_id": "C6anMRFCt4s", "relative_url": "/video/khan-academy-s-discovery-lab-offers-hands-on-learning", "has_questions": false, "keywords": "Discovery Lab, Karl Wendt, Hands-on projects,", "ka_url": "http://www.khanacademy.org/video/khan-academy-s-discovery-lab-offers-hands-on-learning", "duration": 292, "translated_title": "Khan Academy's Discovery Lab offers hands-on learning", "translated_description_html": "", "id": "1240687212", "description_html": "", "title": "Khan Academy's Discovery Lab offers hands-on learning", "progress_key": "v1240687212", "edit_slug": "edit/v/1240687212", "author_names": ["Karl Wendt"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-s-discovery-lab-offers-hands-on-learning", "deleted": false, "backup_timestamp": "2013-09-25T16:11:52Z", "date_added": "2012-12-19T22:58:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.mp4/C6anMRFCt4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.mp4/C6anMRFCt4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C6anMRFCt4s.m3u8/C6anMRFCt4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C6anMRFCt4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1240687212", "sha": "216d2f942046fdb9516bfd565119260dabd3635d", "translated_description": "", "image_url": "https://img.youtube.com/vi/C6anMRFCt4s/hqdefault.jpg", "youtube_id": "C6anMRFCt4s", "content_kind": "Video", "readable_id": "khan-academy-s-discovery-lab-offers-hands-on-learning"}, {"translated_youtube_id": "CiKrFcgVSIU", "relative_url": "/video/year-2060--education-predictions", "has_questions": false, "keywords": "teacher, role, pay, credential", "ka_url": "http://www.khanacademy.org/video/year-2060--education-predictions", "duration": 958, "translated_title": "Year 2060: Education Predictions", "translated_description_html": "Sal is asked to make some predictions for the year 2060", "id": "465991904", "description_html": "Sal is asked to make some predictions for the year 2060", "title": "Year 2060: Education Predictions", "progress_key": "v465991904", "edit_slug": "edit/v/465991904", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal is asked to make some predictions for the year 2060", "extra_properties": {"original_url": ""}, "node_slug": "v/year-2060--education-predictions", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-28T11:00:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CiKrFcgVSIU.mp4/CiKrFcgVSIU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CiKrFcgVSIU.mp4/CiKrFcgVSIU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CiKrFcgVSIU.m3u8/CiKrFcgVSIU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CiKrFcgVSIU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v465991904", "sha": "6ad152f9e3b287adeecda21485a44979f7d47bca", "translated_description": "Sal is asked to make some predictions for the year 2060", "image_url": "https://img.youtube.com/vi/CiKrFcgVSIU/hqdefault.jpg", "youtube_id": "CiKrFcgVSIU", "content_kind": "Video", "readable_id": "year-2060--education-predictions"}, {"translated_youtube_id": "raP1ZWQSXjY", "relative_url": "/video/the-gates-notes--sal-on-khan-academy", "has_questions": false, "keywords": "Gates, Salman, Khan", "ka_url": "http://www.khanacademy.org/video/the-gates-notes--sal-on-khan-academy", "duration": 151, "translated_title": "The Gates Notes: Sal on Khan Academy", "translated_description_html": "Salman Khan on the future of learning.", "id": "215376846", "description_html": "Salman Khan on the future of learning.", "title": "The Gates Notes: Sal on Khan Academy", "progress_key": "v215376846", "edit_slug": "edit/v/215376846", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan on the future of learning.", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes--sal-on-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/raP1ZWQSXjY.mp4/raP1ZWQSXjY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/raP1ZWQSXjY.mp4/raP1ZWQSXjY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/raP1ZWQSXjY.m3u8/raP1ZWQSXjY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=raP1ZWQSXjY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376846", "sha": "fa42f3490d9ec3f97132dda3dab4fdc17e71de10", "translated_description": "Salman Khan on the future of learning.", "image_url": "https://img.youtube.com/vi/raP1ZWQSXjY/hqdefault.jpg", "youtube_id": "raP1ZWQSXjY", "content_kind": "Video", "readable_id": "the-gates-notes--sal-on-khan-academy"}, {"translated_youtube_id": "tygZ2A8rytQ", "relative_url": "/video/khan-academy-computer-science-launch", "has_questions": false, "keywords": "khan, Academy, computer, science, Programming, john, resig", "ka_url": "http://www.khanacademy.org/video/khan-academy-computer-science-launch", "duration": 516, "translated_title": "Khan Academy Computer Science Launch", "translated_description_html": "John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs)", "id": "965680935", "description_html": "John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs)", "title": "Khan Academy Computer Science Launch", "progress_key": "v965680935", "edit_slug": "edit/v/965680935", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs)", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-computer-science-launch", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-14T16:33:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/tygZ2A8rytQ.mp4/tygZ2A8rytQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tygZ2A8rytQ.mp4/tygZ2A8rytQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tygZ2A8rytQ.m3u8/tygZ2A8rytQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=tygZ2A8rytQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v965680935", "sha": "8639b63b8f1e9b7c8ccf05e607458f405f516bbf", "translated_description": "John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs)", "image_url": "https://img.youtube.com/vi/tygZ2A8rytQ/hqdefault.jpg", "youtube_id": "tygZ2A8rytQ", "content_kind": "Video", "readable_id": "khan-academy-computer-science-launch"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "our-vision", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-23T16:58:27Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax293eb078", "topic_page_url": "/talks-and-interviews/our-vision", "extended_slug": "talks-and-interviews/our-vision", "slug": "our-vision", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "7fa8765d5f22e6188d1bf56f39a0d8c9e95419dd", "standalone_title": "Our vision", "y_pos": 0.0, "current_revision_key": "7fa8765d5f22e6188d1bf56f39a0d8c9e95419dd", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/school-pilots", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/school-pilots", "translated_standalone_title": "School pilots", "translated_title": "School pilots", "gplus_url": "", "id": "x5d625880", "old_key_name": "_IxTRtUfHKRSpoF3kcwkQseezzs3Th3r4hbKN0E8", "hide": false, "title": "School pilots", "child_data": [{"kind": "Video", "id": 878154048}, {"kind": "Video", "id": 878130260}, {"kind": "Video", "id": 836244376}, {"kind": "Video", "id": 836473924}, {"kind": "Video", "id": 836513086}, {"kind": "Video", "id": 836347963}, {"kind": "Video", "id": 692166814}, {"kind": "Video", "id": 127447915}, {"kind": "Video", "id": 215376844}, {"kind": "Video", "id": 215376848}, {"kind": "Video", "id": 215376845}, {"kind": "Video", "id": 215376849}], "children": [{"translated_youtube_id": "mLi7BhMj8TA", "relative_url": "/video/eastside", "has_questions": false, "keywords": "Eastside, v3", "ka_url": "http://www.khanacademy.org/video/eastside", "duration": 320, "translated_title": "Khan Academy at Eastside College Prep", "translated_description_html": "", "id": "878154048", "description_html": "", "title": "Khan Academy at Eastside College Prep", "progress_key": "v878154048", "edit_slug": "edit/v/878154048", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/eastside", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-29T00:14:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.mp4/mLi7BhMj8TA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.mp4/mLi7BhMj8TA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.m3u8/mLi7BhMj8TA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mLi7BhMj8TA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878154048", "sha": "8cef44922c1f268bc6c33ca143a97b286ce43ea2", "translated_description": "", "image_url": "https://img.youtube.com/vi/mLi7BhMj8TA/hqdefault.jpg", "youtube_id": "mLi7BhMj8TA", "content_kind": "Video", "readable_id": "eastside"}, {"translated_youtube_id": "eJQzBJ6DtoY", "relative_url": "/video/los-altos", "has_questions": false, "keywords": "Los, Altos, v2", "ka_url": "http://www.khanacademy.org/video/los-altos", "duration": 438, "translated_title": "Khan Academy in Los Altos School District", "translated_description_html": "", "id": "878130260", "description_html": "", "title": "Khan Academy in Los Altos School District", "progress_key": "v878130260", "edit_slug": "edit/v/878130260", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/los-altos", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-29T00:15:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.mp4/eJQzBJ6DtoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.mp4/eJQzBJ6DtoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.m3u8/eJQzBJ6DtoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eJQzBJ6DtoY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878130260", "sha": "4229964f4a2ff5e366693215174cbe6688103e17", "translated_description": "", "image_url": "https://img.youtube.com/vi/eJQzBJ6DtoY/hqdefault.jpg", "youtube_id": "eJQzBJ6DtoY", "content_kind": "Video", "readable_id": "los-altos"}, {"translated_youtube_id": "TZ1CRFgBK4o", "relative_url": "/video/summit", "has_questions": false, "keywords": "Summit", "ka_url": "http://www.khanacademy.org/video/summit", "duration": 273, "translated_title": "Khan Academy at Summit Public Schools", "translated_description_html": "", "id": "836244376", "description_html": "", "title": "Khan Academy at Summit Public Schools", "progress_key": "v836244376", "edit_slug": "edit/v/836244376", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/summit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-06-11T18:05:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.mp4/TZ1CRFgBK4o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.mp4/TZ1CRFgBK4o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.m3u8/TZ1CRFgBK4o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TZ1CRFgBK4o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836244376", "sha": "ae822d53db60593e41cf49b957ffa7ea1b4130be", "translated_description": "", "image_url": "https://img.youtube.com/vi/TZ1CRFgBK4o/hqdefault.jpg", "youtube_id": "TZ1CRFgBK4o", "content_kind": "Video", "readable_id": "summit"}, {"translated_youtube_id": "9NVQsQLPOqc", "relative_url": "/video/kipp", "has_questions": false, "keywords": "KIPP", "ka_url": "http://www.khanacademy.org/video/kipp", "duration": 254, "translated_title": "Khan Academy at KIPP", "translated_description_html": "", "id": "836473924", "description_html": "", "title": "Khan Academy at KIPP", "progress_key": "v836473924", "edit_slug": "edit/v/836473924", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kipp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-11T18:05:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.mp4/9NVQsQLPOqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.mp4/9NVQsQLPOqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.m3u8/9NVQsQLPOqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9NVQsQLPOqc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836473924", "sha": "09e0034e14654a6c3caa6a232b231b740981c916", "translated_description": "", "image_url": "https://img.youtube.com/vi/9NVQsQLPOqc/hqdefault.jpg", "youtube_id": "9NVQsQLPOqc", "content_kind": "Video", "readable_id": "kipp"}, {"translated_youtube_id": "2tYdClfLSCE", "relative_url": "/video/oakland-unity", "has_questions": false, "keywords": "Oakland, Unity", "ka_url": "http://www.khanacademy.org/video/oakland-unity", "duration": 307, "translated_title": "Khan Academy at Oakland Unity High School", "translated_description_html": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "id": "836513086", "description_html": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "title": "Khan Academy at Oakland Unity High School", "progress_key": "v836513086", "edit_slug": "edit/v/836513086", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "extra_properties": {"original_url": ""}, "node_slug": "v/oakland-unity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-11T18:04:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.mp4/2tYdClfLSCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.mp4/2tYdClfLSCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.m3u8/2tYdClfLSCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2tYdClfLSCE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836513086", "sha": "921eb13f05ef6250a46cb8b47389d89d5d2912f6", "translated_description": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "image_url": "https://img.youtube.com/vi/2tYdClfLSCE/hqdefault.jpg", "youtube_id": "2tYdClfLSCE", "content_kind": "Video", "readable_id": "oakland-unity"}, {"translated_youtube_id": "7D6urvlVjJ4", "relative_url": "/video/marlborough", "has_questions": false, "keywords": "Marlborough", "ka_url": "http://www.khanacademy.org/video/marlborough", "duration": 331, "translated_title": "Khan Academy at Marlborough School", "translated_description_html": "", "id": "836347963", "description_html": "", "title": "Khan Academy at Marlborough School", "progress_key": "v836347963", "edit_slug": "edit/v/836347963", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/marlborough", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-11T18:04:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7D6urvlVjJ4.mp4/7D6urvlVjJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7D6urvlVjJ4.mp4/7D6urvlVjJ4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7D6urvlVjJ4.m3u8/7D6urvlVjJ4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7D6urvlVjJ4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836347963", "sha": "6b433380213b783e1ce8702c8cb25e8cc984c9ea", "translated_description": "", "image_url": "https://img.youtube.com/vi/7D6urvlVjJ4/hqdefault.jpg", "youtube_id": "7D6urvlVjJ4", "content_kind": "Video", "readable_id": "marlborough"}, {"translated_youtube_id": "bdmOvVW9el4", "relative_url": "/video/khan-academy-in-the-classroom", "has_questions": false, "keywords": "khan, academy, future, education, teacher, free, online, educational, videos, bill, gates, google, eric, schmidt, sal, 60, minutes, sanjay, gupta", "ka_url": "http://www.khanacademy.org/video/khan-academy-in-the-classroom", "duration": 97, "translated_title": "60 minutes: Khan Academy in the classroom", "translated_description_html": "School administrators Alyssa Gallagher and Jeff Baier of the Los Altos, California, school district are testing out Khan Academy software in their classrooms.", "id": "692166814", "description_html": "School administrators Alyssa Gallagher and Jeff Baier of the Los Altos, California, school district are testing out Khan Academy software in their classrooms.", "title": "60 minutes: Khan Academy in the classroom", "progress_key": "v692166814", "edit_slug": "edit/v/692166814", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "School administrators Alyssa Gallagher and Jeff Baier of the Los Altos, California, school district are testing out Khan Academy software in their classrooms.", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-in-the-classroom", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-03-29T18:17:57Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bdmOvVW9el4.mp4/bdmOvVW9el4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bdmOvVW9el4.mp4/bdmOvVW9el4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bdmOvVW9el4.m3u8/bdmOvVW9el4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bdmOvVW9el4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v692166814", "sha": "22f7fda0c3335a17080df927c8004702be2b3f48", "translated_description": "School administrators Alyssa Gallagher and Jeff Baier of the Los Altos, California, school district are testing out Khan Academy software in their classrooms.", "image_url": "https://img.youtube.com/vi/bdmOvVW9el4/hqdefault.jpg", "youtube_id": "bdmOvVW9el4", "content_kind": "Video", "readable_id": "khan-academy-in-the-classroom"}, {"translated_youtube_id": "VGxGrEnWVsg", "relative_url": "/video/npr-story-on-ka-los-altos-pilots--june-2011", "has_questions": false, "keywords": "education, technology, los, altos", "ka_url": "http://www.khanacademy.org/video/npr-story-on-ka-los-altos-pilots--june-2011", "duration": 269, "translated_title": "NPR Story on KA Los Altos Pilots (June 2011)", "translated_description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "id": "127447915", "description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "title": "NPR Story on KA Los Altos Pilots (June 2011)", "progress_key": "v127447915", "edit_slug": "edit/v/127447915", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "extra_properties": {"original_url": ""}, "node_slug": "v/npr-story-on-ka-los-altos-pilots--june-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-24T23:27:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.m3u8/VGxGrEnWVsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VGxGrEnWVsg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v127447915", "sha": "ba4247d10ab44edeb8584c09ac201f87fd90b8b8", "translated_description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "image_url": "https://img.youtube.com/vi/VGxGrEnWVsg/hqdefault.jpg", "youtube_id": "VGxGrEnWVsg", "content_kind": "Video", "readable_id": "npr-story-on-ka-los-altos-pilots--june-2011"}, {"translated_youtube_id": "2DlxIXYEu4s", "relative_url": "/video/the-gates-notes--administrators-in-los-altos", "has_questions": false, "keywords": "Gates, LASD", "ka_url": "http://www.khanacademy.org/video/the-gates-notes--administrators-in-los-altos", "duration": 189, "translated_title": "The Gates Notes: Administrators in Los Altos", "translated_description_html": "Administrators in Los Altos School District share their experiences with Khan Academy", "id": "215376844", "description_html": "Administrators in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Administrators in Los Altos", "progress_key": "v215376844", "edit_slug": "edit/v/215376844", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Administrators in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes--administrators-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.mp4/2DlxIXYEu4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.mp4/2DlxIXYEu4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.m3u8/2DlxIXYEu4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2DlxIXYEu4s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376844", "sha": "170838977cb430b1dcacde14bd9016321b6abd4f", "translated_description": "Administrators in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/2DlxIXYEu4s/hqdefault.jpg", "youtube_id": "2DlxIXYEu4s", "content_kind": "Video", "readable_id": "the-gates-notes--administrators-in-los-altos"}, {"translated_youtube_id": "RoGgxrCsCEQ", "relative_url": "/video/the-gates-notes--teachers-in-los-altos", "has_questions": false, "keywords": "Gates, LASD, teachers", "ka_url": "http://www.khanacademy.org/video/the-gates-notes--teachers-in-los-altos", "duration": 182, "translated_title": "The Gates Notes: Teachers in Los Altos", "translated_description_html": "Teachers in Los Altos School District share their experiences with Khan Academy", "id": "215376848", "description_html": "Teachers in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Teachers in Los Altos", "progress_key": "v215376848", "edit_slug": "edit/v/215376848", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Teachers in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes--teachers-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.mp4/RoGgxrCsCEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.mp4/RoGgxrCsCEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.m3u8/RoGgxrCsCEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RoGgxrCsCEQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376848", "sha": "3eb46a1f27b43ff4e3e00b80b64027069caeb7f2", "translated_description": "Teachers in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/RoGgxrCsCEQ/hqdefault.jpg", "youtube_id": "RoGgxrCsCEQ", "content_kind": "Video", "readable_id": "the-gates-notes--teachers-in-los-altos"}, {"translated_youtube_id": "q7lttowsC0Y", "relative_url": "/video/the-gates-notes---students-in-los-altos", "has_questions": false, "keywords": "Gates, LASD, students", "ka_url": "http://www.khanacademy.org/video/the-gates-notes---students-in-los-altos", "duration": 194, "translated_title": "The Gates Notes: Students in Los Altos", "translated_description_html": "Students in Los Altos School District share their experiences with Khan Academy", "id": "215376845", "description_html": "Students in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Students in Los Altos", "progress_key": "v215376845", "edit_slug": "edit/v/215376845", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Students in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes---students-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.mp4/q7lttowsC0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.mp4/q7lttowsC0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.m3u8/q7lttowsC0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7lttowsC0Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376845", "sha": "6763d517432e5067ae7888c7fa74f06f995e7119", "translated_description": "Students in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/q7lttowsC0Y/hqdefault.jpg", "youtube_id": "q7lttowsC0Y", "content_kind": "Video", "readable_id": "the-gates-notes---students-in-los-altos"}, {"translated_youtube_id": "zscrs94_pFc", "relative_url": "/video/the-gates-notes---insights-into-students--progress", "has_questions": false, "keywords": "Gates, Salman, Khan, Shantanu, Sinha, Dashboard", "ka_url": "http://www.khanacademy.org/video/the-gates-notes---insights-into-students--progress", "duration": 151, "translated_title": "The Gates Notes: Insights into students' progress", "translated_description_html": "How Khan Academy is helping teachers free up classroom time, track student's progress, and pinpoint their needs", "id": "215376849", "description_html": "How Khan Academy is helping teachers free up classroom time, track student's progress, and pinpoint their needs", "title": "The Gates Notes: Insights into students' progress", "progress_key": "v215376849", "edit_slug": "edit/v/215376849", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How Khan Academy is helping teachers free up classroom time, track student's progress, and pinpoint their needs", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes---insights-into-students--progress", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zscrs94_pFc.mp4/zscrs94_pFc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zscrs94_pFc.mp4/zscrs94_pFc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zscrs94_pFc.m3u8/zscrs94_pFc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zscrs94_pFc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376849", "sha": "736de3258f251efbd39acbdace7a88a6ecfc79fe", "translated_description": "How Khan Academy is helping teachers free up classroom time, track student's progress, and pinpoint their needs", "image_url": "https://img.youtube.com/vi/zscrs94_pFc/hqdefault.jpg", "youtube_id": "zscrs94_pFc", "content_kind": "Video", "readable_id": "the-gates-notes---insights-into-students--progress"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "school-pilots", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax5d625880", "topic_page_url": "/talks-and-interviews/school-pilots", "extended_slug": "talks-and-interviews/school-pilots", "slug": "school-pilots", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "8d81bfb9933c6e832b15d5990cca922fb4969eea", "standalone_title": "School pilots", "y_pos": 0.0, "current_revision_key": "8d81bfb9933c6e832b15d5990cca922fb4969eea", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/thoughts-on-education", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/thoughts-on-education", "translated_standalone_title": "Thoughts on education", "translated_title": "Khan Academy and beyond", "gplus_url": "", "id": "x87e793db", "old_key_name": "Swnhzdd-jVl7AgX-kaFm7M-_YnHi5SMZKSl2Q54Q", "hide": false, "title": "Khan Academy and beyond", "child_data": [{"kind": "Video", "id": "x5a013b0d"}, {"kind": "Video", "id": "x6a16bad3"}, {"kind": "Video", "id": "x92af14b3"}, {"kind": "Video", "id": "x8ab9dcb2"}, {"kind": "Video", "id": 843767730}, {"kind": "Video", "id": 796527934}, {"kind": "Video", "id": 815214557}, {"kind": "Video", "id": 334564243}, {"kind": "Video", "id": 209609263}, {"kind": "Video", "id": 28231}], "children": [{"translated_youtube_id": "9pcWAHujSZA", "relative_url": "/video/sal-khan-talks-to-arne-duncan", "has_questions": false, "keywords": "interview, arne duncan", "ka_url": "http://www.khanacademy.org/video/sal-khan-talks-to-arne-duncan", "duration": 2175, "translated_title": "A Conversation with US Secretary of Education Arne Duncan", "translated_description_html": "", "id": "x5a013b0d", "description_html": "", "title": "A Conversation with US Secretary of Education Arne Duncan", "progress_key": "vx5a013b0d", "edit_slug": "edit/v/x5a013b0d", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan-talks-to-arne-duncan", "deleted": false, "backup_timestamp": "2013-09-03T17:52:31Z", "date_added": "2013-08-23T14:59:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9pcWAHujSZA.mp4/9pcWAHujSZA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9pcWAHujSZA.mp4/9pcWAHujSZA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9pcWAHujSZA.m3u8/9pcWAHujSZA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9pcWAHujSZA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx5a013b0d", "sha": "7df2bb0ddbdb4fd3678aa02c9a99e4d4e0f176a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/9pcWAHujSZA/hqdefault.jpg", "youtube_id": "9pcWAHujSZA", "content_kind": "Video", "readable_id": "sal-khan-talks-to-arne-duncan"}, {"translated_youtube_id": "vDwzmJpI4io", "relative_url": "/video/elon-musk", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/elon-musk", "duration": 2922, "translated_title": "Elon Musk - CEO of Tesla Motors and SpaceX", "translated_description_html": "", "id": "x6a16bad3", "description_html": "", "title": "Elon Musk - CEO of Tesla Motors and SpaceX", "progress_key": "vx6a16bad3", "edit_slug": "edit/v/x6a16bad3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/elon-musk", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-04-23T00:07:17Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.mp4/vDwzmJpI4io.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.mp4/vDwzmJpI4io.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vDwzmJpI4io.m3u8/vDwzmJpI4io.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=vDwzmJpI4io&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx6a16bad3", "sha": "6c3fa69d4cfd75aa6d5c5becdcd1f262c6fbca11", "translated_description": "", "image_url": "https://img.youtube.com/vi/vDwzmJpI4io/hqdefault.jpg", "youtube_id": "vDwzmJpI4io", "content_kind": "Video", "readable_id": "elon-musk"}, {"translated_youtube_id": "Kjlqcz5RiTw", "relative_url": "/video/davis-guggenheim", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/davis-guggenheim", "duration": 2043, "translated_title": "Davis Guggenheim - Filmmaker", "translated_description_html": "", "id": "x92af14b3", "description_html": "", "title": "Davis Guggenheim - Filmmaker", "progress_key": "vx92af14b3", "edit_slug": "edit/v/x92af14b3", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/davis-guggenheim", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-05-29T19:18:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.mp4/Kjlqcz5RiTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.mp4/Kjlqcz5RiTw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kjlqcz5RiTw.m3u8/Kjlqcz5RiTw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Kjlqcz5RiTw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx92af14b3", "sha": "9722492b62fdb190a84f667a43c252bd27766eb3", "translated_description": "", "image_url": "https://img.youtube.com/vi/Kjlqcz5RiTw/hqdefault.jpg", "youtube_id": "Kjlqcz5RiTw", "content_kind": "Video", "readable_id": "davis-guggenheim"}, {"translated_youtube_id": "6Qr99-l1Oos", "relative_url": "/video/thomas-friedman", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/thomas-friedman", "duration": 3745, "translated_title": "Thomas Friedman - Author", "translated_description_html": "", "id": "x8ab9dcb2", "description_html": "", "title": "Thomas Friedman - Author", "progress_key": "vx8ab9dcb2", "edit_slug": "edit/v/x8ab9dcb2", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/thomas-friedman", "deleted": false, "backup_timestamp": "2013-09-24T17:26:57Z", "date_added": "2013-06-25T22:05:45Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.mp4/6Qr99-l1Oos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.mp4/6Qr99-l1Oos.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6Qr99-l1Oos.m3u8/6Qr99-l1Oos.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=6Qr99-l1Oos&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx8ab9dcb2", "sha": "5c0310eb4a0ad36cecd1ead238cab175ec3b9edd", "translated_description": "", "image_url": "https://img.youtube.com/vi/6Qr99-l1Oos/hqdefault.jpg", "youtube_id": "6Qr99-l1Oos", "content_kind": "Video", "readable_id": "thomas-friedman"}, {"translated_youtube_id": "Pn24jP0YbTI", "relative_url": "/video/mit-2012-commencement-address", "has_questions": false, "keywords": "khan, academy, mit, commencement, marquee", "ka_url": "http://www.khanacademy.org/video/mit-2012-commencement-address", "duration": 1121, "translated_title": "MIT 2012 Commencement Address", "translated_description_html": "Salman Khan gives commencement address at MIT (2012)", "id": "843767730", "description_html": "Salman Khan gives commencement address at MIT (2012)", "title": "MIT 2012 Commencement Address", "progress_key": "v843767730", "edit_slug": "edit/v/843767730", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan gives commencement address at MIT (2012)", "extra_properties": {"original_url": ""}, "node_slug": "v/mit-2012-commencement-address", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-13T21:43:46Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pn24jP0YbTI.mp4/Pn24jP0YbTI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pn24jP0YbTI.mp4/Pn24jP0YbTI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pn24jP0YbTI.m3u8/Pn24jP0YbTI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Pn24jP0YbTI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v843767730", "sha": "36921ed5b3cd6d670cf15d8387d40ec395d18fe9", "translated_description": "Salman Khan gives commencement address at MIT (2012)", "image_url": "https://img.youtube.com/vi/Pn24jP0YbTI/hqdefault.jpg", "youtube_id": "Pn24jP0YbTI", "content_kind": "Video", "readable_id": "mit-2012-commencement-address"}, {"translated_youtube_id": "oipQBY7F4YY", "relative_url": "/video/salman-khan-at-rice-university-s-2012-commencement", "has_questions": false, "keywords": "Salman Khan (Film Actor), Salman Khan, Graduation (Field Of Study), College, University, Student, School, Campus, Education, Rice University, Houston, Texas, Commencement, Rice, Students, Khan Academy, marquee", "ka_url": "http://www.khanacademy.org/video/salman-khan-at-rice-university-s-2012-commencement", "duration": 1021, "translated_title": "Salman Khan at Rice University's 2012 commencement", "translated_description_html": "Rice commencement speaker Salman Khan's address to the graduates focused on contributions of a different kind: He urged the students to do everything they can to \"increase the net happiness in the world.\"Khan is the founder of the Khan Academy, a free online education platform and not-for-profit organization that has made waves in the field of education. In 2004, Khan's online tutorials for a young cousin gained a wider audience, and five years later he turned his collection of free educational videos into the online Khan Academy. Today, his more than 3,200 online tutorials attract 6 million viewers every month, and Time magazine recently named him one of the world's 100 most influential people.For more: http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/", "id": "796527934", "description_html": "Rice commencement speaker Salman Khan's address to the graduates focused on contributions of a different kind: He urged the students to do everything they can to \"increase the net happiness in the world.\"Khan is the founder of the Khan Academy, a free online education platform and not-for-profit organization that has made waves in the field of education. In 2004, Khan's online tutorials for a young cousin gained a wider audience, and five years later he turned his collection of free educational videos into the online Khan Academy. Today, his more than 3,200 online tutorials attract 6 million viewers every month, and Time magazine recently named him one of the world's 100 most influential people.For more: http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/", "title": "Salman Khan at Rice University's 2012 commencement", "progress_key": "v796527934", "edit_slug": "edit/v/796527934", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rice commencement speaker Salman Khan's address to the graduates focused on contributions of a different kind: He urged the students to do everything they can to \"increase the net happiness in the world.\"Khan is the founder of the Khan Academy, a free online education platform and not-for-profit organization that has made waves in the field of education. In 2004, Khan's online tutorials for a young cousin gained a wider audience, and five years later he turned his collection of free educational videos into the online Khan Academy. Today, his more than 3,200 online tutorials attract 6 million viewers every month, and Time magazine recently named him one of the world's 100 most influential people.For more: http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-at-rice-university-s-2012-commencement", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-21T18:06:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oipQBY7F4YY.mp4/oipQBY7F4YY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oipQBY7F4YY.mp4/oipQBY7F4YY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oipQBY7F4YY.m3u8/oipQBY7F4YY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oipQBY7F4YY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v796527934", "sha": "b92acc013d3ef79b1b2644e23635e587f583c27f", "translated_description": "Rice commencement speaker Salman Khan's address to the graduates focused on contributions of a different kind: He urged the students to do everything they can to \"increase the net happiness in the world.\"Khan is the founder of the Khan Academy, a free online education platform and not-for-profit organization that has made waves in the field of education. In 2004, Khan's online tutorials for a young cousin gained a wider audience, and five years later he turned his collection of free educational videos into the online Khan Academy. Today, his more than 3,200 online tutorials attract 6 million viewers every month, and Time magazine recently named him one of the world's 100 most influential people.For more: http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/", "image_url": "https://img.youtube.com/vi/oipQBY7F4YY/hqdefault.jpg", "youtube_id": "oipQBY7F4YY", "content_kind": "Video", "readable_id": "salman-khan-at-rice-university-s-2012-commencement"}, {"translated_youtube_id": "QRrTMZkqn2w", "relative_url": "/video/microsoft-ceo-summit--innovation-in-education", "has_questions": false, "keywords": "khan, academy, bill, gates, marquee", "ka_url": "http://www.khanacademy.org/video/microsoft-ceo-summit--innovation-in-education", "duration": 1613, "translated_title": "Microsoft CEO Summit Innovation in Education", "translated_description_html": "Sal on panel at Summit", "id": "815214557", "description_html": "Sal on panel at Summit", "title": "Microsoft CEO Summit Innovation in Education", "progress_key": "v815214557", "edit_slug": "edit/v/815214557", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal on panel at Summit", "extra_properties": {"original_url": ""}, "node_slug": "v/microsoft-ceo-summit--innovation-in-education", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-05-31T21:22:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QRrTMZkqn2w.mp4/QRrTMZkqn2w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QRrTMZkqn2w.mp4/QRrTMZkqn2w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QRrTMZkqn2w.m3u8/QRrTMZkqn2w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QRrTMZkqn2w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v815214557", "sha": "1136320160419f4280729a2e8f21f4ce996e1f02", "translated_description": "Sal on panel at Summit", "image_url": "https://img.youtube.com/vi/QRrTMZkqn2w/hqdefault.jpg", "youtube_id": "QRrTMZkqn2w", "content_kind": "Video", "readable_id": "microsoft-ceo-summit--innovation-in-education"}, {"translated_youtube_id": "zv-9GXi9VLc", "relative_url": "/video/2011-roundtable-at-stanford--education-nation-2-0", "has_questions": false, "keywords": "education, teaching, learning, child, development, reform, schools, Teacher, Student", "ka_url": "http://www.khanacademy.org/video/2011-roundtable-at-stanford--education-nation-2-0", "duration": 5535, "translated_title": "2011 Roundtable at Stanford: Education Nation 2.0", "translated_description_html": "** PLEASE NOTE: This is the archived version of the YouTube Live broadcast. The edited video will be posted on Monday. **\n\nDesigning an education that truly builds the necessary skills for today's enormously diverse student population is not easy. But it's the key to opportunity for our citizens, economic vitality for our nation, and to assuring the U.S. remains a world leader. There is hope: innovations and innovators that challenge the status quo; research to help us understand how to move the education needle; a virtual army of reformers experimenting with new ways to teach, learn, and run our public schools.\n\nJoin master interviewer and PBS host Charlie Rose and a distinguished panel of luminaries to tackle the question of how to improve our troubled school system and provide a better future for our nation's greatest resource, our kids.\n\nStanford University:\nhttp://www.stanford.edu/\n\nThe Roundtable at Stanford:\nwww.stanford.edu/roundtable\n\nStanford University Channel on YouTube:\nhttp://www.youtube.com/stanford", "id": "334564243", "description_html": "** PLEASE NOTE: This is the archived version of the YouTube Live broadcast. The edited video will be posted on Monday. **\n\nDesigning an education that truly builds the necessary skills for today's enormously diverse student population is not easy. But it's the key to opportunity for our citizens, economic vitality for our nation, and to assuring the U.S. remains a world leader. There is hope: innovations and innovators that challenge the status quo; research to help us understand how to move the education needle; a virtual army of reformers experimenting with new ways to teach, learn, and run our public schools.\n\nJoin master interviewer and PBS host Charlie Rose and a distinguished panel of luminaries to tackle the question of how to improve our troubled school system and provide a better future for our nation's greatest resource, our kids.\n\nStanford University:\nhttp://www.stanford.edu/\n\nThe Roundtable at Stanford:\nwww.stanford.edu/roundtable\n\nStanford University Channel on YouTube:\nhttp://www.youtube.com/stanford", "title": "2011 Roundtable at Stanford: Education Nation 2.0", "progress_key": "v334564243", "edit_slug": "edit/v/334564243", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "** PLEASE NOTE: This is the archived version of the YouTube Live broadcast. The edited video will be posted on Monday. **\n\nDesigning an education that truly builds the necessary skills for today's enormously diverse student population is not easy. But it's the key to opportunity for our citizens, economic vitality for our nation, and to assuring the U.S. remains a world leader. There is hope: innovations and innovators that challenge the status quo; research to help us understand how to move the education needle; a virtual army of reformers experimenting with new ways to teach, learn, and run our public schools.\n\nJoin master interviewer and PBS host Charlie Rose and a distinguished panel of luminaries to tackle the question of how to improve our troubled school system and provide a better future for our nation's greatest resource, our kids.\n\nStanford University:\nhttp://www.stanford.edu/\n\nThe Roundtable at Stanford:\nwww.stanford.edu/roundtable\n\nStanford University Channel on YouTube:\nhttp://www.youtube.com/stanford", "extra_properties": {"original_url": ""}, "node_slug": "v/2011-roundtable-at-stanford--education-nation-2-0", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-25T10:01:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/zv-9GXi9VLc.mp4/zv-9GXi9VLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zv-9GXi9VLc.mp4/zv-9GXi9VLc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zv-9GXi9VLc.m3u8/zv-9GXi9VLc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=zv-9GXi9VLc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v334564243", "sha": "3b89ca6ae341823a7462ec2f558f8bc7aa2274a7", "translated_description": "** PLEASE NOTE: This is the archived version of the YouTube Live broadcast. The edited video will be posted on Monday. **\n\nDesigning an education that truly builds the necessary skills for today's enormously diverse student population is not easy. But it's the key to opportunity for our citizens, economic vitality for our nation, and to assuring the U.S. remains a world leader. There is hope: innovations and innovators that challenge the status quo; research to help us understand how to move the education needle; a virtual army of reformers experimenting with new ways to teach, learn, and run our public schools.\n\nJoin master interviewer and PBS host Charlie Rose and a distinguished panel of luminaries to tackle the question of how to improve our troubled school system and provide a better future for our nation's greatest resource, our kids.\n\nStanford University:\nhttp://www.stanford.edu/\n\nThe Roundtable at Stanford:\nwww.stanford.edu/roundtable\n\nStanford University Channel on YouTube:\nhttp://www.youtube.com/stanford", "image_url": "https://img.youtube.com/vi/zv-9GXi9VLc/hqdefault.jpg", "youtube_id": "zv-9GXi9VLc", "content_kind": "Video", "readable_id": "2011-roundtable-at-stanford--education-nation-2-0"}, {"translated_youtube_id": "FU5twilx7nw", "relative_url": "/video/21st-century-challenges--royal-geographic-society", "has_questions": false, "keywords": "21st, Century, Challenges, Royal, Geographic, Society", "ka_url": "http://www.khanacademy.org/video/21st-century-challenges--royal-geographic-society", "duration": 992, "translated_title": "21st Century Challenges (Royal Geographic Society)", "translated_description_html": "Answers to questions from the Royal Geographic Society", "id": "209609263", "description_html": "Answers to questions from the Royal Geographic Society", "title": "21st Century Challenges (Royal Geographic Society)", "progress_key": "v209609263", "edit_slug": "edit/v/209609263", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Answers to questions from the Royal Geographic Society", "extra_properties": {"original_url": ""}, "node_slug": "v/21st-century-challenges--royal-geographic-society", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.mp4/FU5twilx7nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.mp4/FU5twilx7nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.m3u8/FU5twilx7nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FU5twilx7nw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v209609263", "sha": "68f191e59b18dafbede3074baf6e35b2b269f0ea", "translated_description": "Answers to questions from the Royal Geographic Society", "image_url": "https://img.youtube.com/vi/FU5twilx7nw/hqdefault.jpg", "youtube_id": "FU5twilx7nw", "content_kind": "Video", "readable_id": "21st-century-challenges--royal-geographic-society"}, {"translated_youtube_id": "oPZQu5mIiRQ", "relative_url": "/video/sal-khan--with-a-severe-cold---on-future-talk", "has_questions": false, "keywords": "education, future, khan, academy", "ka_url": "http://www.khanacademy.org/video/sal-khan--with-a-severe-cold---on-future-talk", "duration": 1711, "translated_title": "Sal Khan (with a severe cold!) on Future Talk", "translated_description_html": "Salman Khan (with a severe cold!) on Future Talk", "id": "28231", "description_html": "Salman Khan (with a severe cold!) on Future Talk", "title": "Sal Khan (with a severe cold!) on Future Talk", "progress_key": "v28231", "edit_slug": "edit/v/28231", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan (with a severe cold!) on Future Talk", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan--with-a-severe-cold---on-future-talk", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/oPZQu5mIiRQ.mp4/oPZQu5mIiRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oPZQu5mIiRQ.mp4/oPZQu5mIiRQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oPZQu5mIiRQ.m3u8/oPZQu5mIiRQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=oPZQu5mIiRQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v28231", "sha": "12e0b2e96e87f473ee8ededf48eba2f08bbe2de0", "translated_description": "Salman Khan (with a severe cold!) on Future Talk", "image_url": "https://img.youtube.com/vi/oPZQu5mIiRQ/hqdefault.jpg", "youtube_id": "oPZQu5mIiRQ", "content_kind": "Video", "readable_id": "sal-khan--with-a-severe-cold---on-future-talk"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "thoughts-on-education", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-23T15:02:22Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax87e793db", "topic_page_url": "/talks-and-interviews/thoughts-on-education", "extended_slug": "talks-and-interviews/thoughts-on-education", "slug": "thoughts-on-education", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "b3cf3e201ea938b7f69b54ef7df616507c40570e", "standalone_title": "Thoughts on education", "y_pos": 0.0, "current_revision_key": "b3cf3e201ea938b7f69b54ef7df616507c40570e", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/one-world-schoolhouse", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/one-world-schoolhouse", "translated_standalone_title": "\"The One World Schoolhouse\" book", "translated_title": "\"The One World Schoolhouse\" book", "gplus_url": "", "id": "xdea303c8", "old_key_name": "8_JpGLZEwoOhgox8DJoHdGbeKSVIjD9G6YyTdM2f", "hide": false, "title": "\"The One World Schoolhouse\" book", "child_data": [{"kind": "Video", "id": 1304108573}, {"kind": "Video", "id": 1151286827}, {"kind": "Video", "id": 1115025910}, {"kind": "Video", "id": 1115122499}, {"kind": "Video", "id": 1115100745}, {"kind": "Video", "id": 1115192166}, {"kind": "Video", "id": 1115202174}, {"kind": "Video", "id": 47057782}, {"kind": "Video", "id": 1101921746}], "children": [{"translated_youtube_id": "g55YZj39D4A", "relative_url": "/video/after-words-the-one-world-schoolhouse-education-reimagined", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/after-words-the-one-world-schoolhouse-education-reimagined", "duration": 3177, "translated_title": "After Words: \"The One World Schoolhouse: Education Reimagined\"", "translated_description_html": "Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools.", "id": "1304108573", "description_html": "Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools.", "title": "After Words: \"The One World Schoolhouse: Education Reimagined\"", "progress_key": "v1304108573", "edit_slug": "edit/v/1304108573", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools.", "extra_properties": {"original_url": ""}, "node_slug": "v/after-words-the-one-world-schoolhouse-education-reimagined", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T02:18:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/g55YZj39D4A.mp4/g55YZj39D4A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g55YZj39D4A.mp4/g55YZj39D4A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g55YZj39D4A.m3u8/g55YZj39D4A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=g55YZj39D4A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1304108573", "sha": "00d7b75de22007f1b288a6216041328305d1c504", "translated_description": "Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools.", "image_url": "https://img.youtube.com/vi/g55YZj39D4A/hqdefault.jpg", "youtube_id": "g55YZj39D4A", "content_kind": "Video", "readable_id": "after-words-the-one-world-schoolhouse-education-reimagined"}, {"translated_youtube_id": "bOvSOSk8MBI", "relative_url": "/video/sal-s-interview-on-the-one-world-schoolhouse--c-span-2-after-words", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-s-interview-on-the-one-world-schoolhouse--c-span-2-after-words", "duration": 3165, "translated_title": "Sal's interview on the One World Schoolhouse (C-SPAN 2 After Words)", "translated_description_html": "", "id": "1151286827", "description_html": "", "title": "Sal's interview on the One World Schoolhouse (C-SPAN 2 After Words)", "progress_key": "v1151286827", "edit_slug": "edit/v/1151286827", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-s-interview-on-the-one-world-schoolhouse--c-span-2-after-words", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-11-16T00:45:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/bOvSOSk8MBI.mp4/bOvSOSk8MBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bOvSOSk8MBI.mp4/bOvSOSk8MBI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bOvSOSk8MBI.m3u8/bOvSOSk8MBI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=bOvSOSk8MBI&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1151286827", "sha": "b849f2a8b920045de3fa5faca4f4fcdcda6962f2", "translated_description": "", "image_url": "https://img.youtube.com/vi/bOvSOSk8MBI/hqdefault.jpg", "youtube_id": "bOvSOSk8MBI", "content_kind": "Video", "readable_id": "sal-s-interview-on-the-one-world-schoolhouse--c-span-2-after-words"}, {"translated_youtube_id": "E8Yt7SuJ558", "relative_url": "/video/sal-khan-on-piers-morgan-tonight--oct-5--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-khan-on-piers-morgan-tonight--oct-5--2012", "duration": 99, "translated_title": "Sal Khan on Piers Morgan Tonight (Oct 5, 2012)", "translated_description_html": "Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "id": "1115025910", "description_html": "Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "title": "Sal Khan on Piers Morgan Tonight (Oct 5, 2012)", "progress_key": "v1115025910", "edit_slug": "edit/v/1115025910", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan-on-piers-morgan-tonight--oct-5--2012", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-30T22:04:03Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/E8Yt7SuJ558.mp4/E8Yt7SuJ558.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E8Yt7SuJ558.mp4/E8Yt7SuJ558.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/E8Yt7SuJ558.m3u8/E8Yt7SuJ558.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=E8Yt7SuJ558&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115025910", "sha": "106b672713414a6bc71f5095e14672d2dfd891c3", "translated_description": "Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "image_url": "https://img.youtube.com/vi/E8Yt7SuJ558/hqdefault.jpg", "youtube_id": "E8Yt7SuJ558", "content_kind": "Video", "readable_id": "sal-khan-on-piers-morgan-tonight--oct-5--2012"}, {"translated_youtube_id": "-t3MaJzV5Ok", "relative_url": "/video/radio-interview--sal-khan-on-diane-rehm--oct-3--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/radio-interview--sal-khan-on-diane-rehm--oct-3--2012", "duration": 3056, "translated_title": "Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012)", "translated_description_html": "Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript", "id": "1115122499", "description_html": "Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript", "title": "Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012)", "progress_key": "v1115122499", "edit_slug": "edit/v/1115122499", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript", "extra_properties": {"original_url": ""}, "node_slug": "v/radio-interview--sal-khan-on-diane-rehm--oct-3--2012", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2012-10-30T22:03:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-t3MaJzV5Ok.mp4/-t3MaJzV5Ok.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-t3MaJzV5Ok.mp4/-t3MaJzV5Ok.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-t3MaJzV5Ok.m3u8/-t3MaJzV5Ok.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-t3MaJzV5Ok&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115122499", "sha": "6333b141277c08b322c6af2b21b96befe36314d0", "translated_description": "Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript", "image_url": "https://img.youtube.com/vi/-t3MaJzV5Ok/hqdefault.jpg", "youtube_id": "-t3MaJzV5Ok", "content_kind": "Video", "readable_id": "radio-interview--sal-khan-on-diane-rehm--oct-3--2012"}, {"translated_youtube_id": "LldS1Z6Zih8", "relative_url": "/video/radio-interview--sal-khan-on-npr-s-talk-of-the-nation--october-23--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/radio-interview--sal-khan-on-npr-s-talk-of-the-nation--october-23--2012", "duration": 1014, "translated_title": "Radio Interview: Sal Khan on NPR's Talk of the Nation (October 23, 2012)", "translated_description_html": "Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "id": "1115100745", "description_html": "Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "title": "Radio Interview: Sal Khan on NPR's Talk of the Nation (October 23, 2012)", "progress_key": "v1115100745", "edit_slug": "edit/v/1115100745", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "extra_properties": {"original_url": ""}, "node_slug": "v/radio-interview--sal-khan-on-npr-s-talk-of-the-nation--october-23--2012", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-10-30T22:02:53Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LldS1Z6Zih8.mp4/LldS1Z6Zih8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LldS1Z6Zih8.mp4/LldS1Z6Zih8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LldS1Z6Zih8.m3u8/LldS1Z6Zih8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LldS1Z6Zih8&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115100745", "sha": "f7de788cef88d0fb8b7a27f01b3c9d13ddc5ee7d", "translated_description": "Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "image_url": "https://img.youtube.com/vi/LldS1Z6Zih8/hqdefault.jpg", "youtube_id": "LldS1Z6Zih8", "content_kind": "Video", "readable_id": "radio-interview--sal-khan-on-npr-s-talk-of-the-nation--october-23--2012"}, {"translated_youtube_id": "00y85YDqmtA", "relative_url": "/video/radio-interview--sal-khan-on-brian-lehrer--oct-4--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/radio-interview--sal-khan-on-brian-lehrer--oct-4--2012", "duration": 847, "translated_title": "Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012)", "translated_description_html": "Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/", "id": "1115192166", "description_html": "Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/", "title": "Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012)", "progress_key": "v1115192166", "edit_slug": "edit/v/1115192166", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/", "extra_properties": {"original_url": ""}, "node_slug": "v/radio-interview--sal-khan-on-brian-lehrer--oct-4--2012", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-30T22:02:37Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/00y85YDqmtA.mp4/00y85YDqmtA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/00y85YDqmtA.mp4/00y85YDqmtA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/00y85YDqmtA.m3u8/00y85YDqmtA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=00y85YDqmtA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115192166", "sha": "624790784c71e6afce07667566bef5d2f1f96280", "translated_description": "Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/", "image_url": "https://img.youtube.com/vi/00y85YDqmtA/hqdefault.jpg", "youtube_id": "00y85YDqmtA", "content_kind": "Video", "readable_id": "radio-interview--sal-khan-on-brian-lehrer--oct-4--2012"}, {"translated_youtube_id": "-BHdJBwmdCU", "relative_url": "/video/sal-khan-on-cnn-starting-point--oct-5--2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-khan-on-cnn-starting-point--oct-5--2012", "duration": 224, "translated_title": "Sal Khan on CNN Starting Point (Oct 5, 2012)", "translated_description_html": "Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "id": "1115202174", "description_html": "Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "title": "Sal Khan on CNN Starting Point (Oct 5, 2012)", "progress_key": "v1115202174", "edit_slug": "edit/v/1115202174", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-khan-on-cnn-starting-point--oct-5--2012", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-10-30T22:03:47Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-BHdJBwmdCU.mp4/-BHdJBwmdCU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-BHdJBwmdCU.mp4/-BHdJBwmdCU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-BHdJBwmdCU.m3u8/-BHdJBwmdCU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-BHdJBwmdCU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1115202174", "sha": "94f550d2493819bd9326e4f65c1bdc3994897771", "translated_description": "Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "image_url": "https://img.youtube.com/vi/-BHdJBwmdCU/hqdefault.jpg", "youtube_id": "-BHdJBwmdCU", "content_kind": "Video", "readable_id": "sal-khan-on-cnn-starting-point--oct-5--2012"}, {"translated_youtube_id": "PhO2gshIVuE", "relative_url": "/video/authors-google--salman-khan", "has_questions": false, "keywords": "Khan Academy, Salman Khan, online education, Project 10^100", "ka_url": "http://www.khanacademy.org/video/authors-google--salman-khan", "duration": 3898, "translated_title": "Authors@Google: Salman Khan", "translated_description_html": "Salman Khan spoke to Googlers in Mountain View, California on March 15, 2011 about Khan Academy: A World Class Education to Anyone, Anywhere.\n\nSalman Khan is the founder and faculty of Khan Academy http://www.khanacademy.org/ a not-for-profit educational organization. With the stated mission \"of providing a high quality education to anyone, anywhere\", the Academy supplies a free online collection of over 2,000 videos on mathematics, history, finance, physics, chemistry, astronomy, and economics.\n\nIn late 2004, Khan began tutoring his cousin in mathematics using Yahoo!'s Doodle notepad. When other relatives and friends sought his tutorial, he decided it would be more practical to distribute the tutorials on YouTube. Their popularity there and the testimonials of appreciative students prompted Khan to quit his job in finance in 2009 and focus on the Academy full-time.\n\nKhan Academy's channel on YouTube http://www.youtube.com/user/khanacademy has 45+ million views so far and it's one of YouTube's most successful academic partners.\n\nIn September 2010, Google announced they would be providing the Khan Academy with $2 million to support the creation of more courses and to enable the Khan Academy to translate their core library into the world's most widely spoken languages, as part of Project 10^100, http://www.project10tothe100.com/.\n\nKhan is aiming at making nothing less than \"tens of thousands\" of tutorials offering the \"first free, world-class virtual school where anyone can learn anything.\"", "id": "47057782", "description_html": "Salman Khan spoke to Googlers in Mountain View, California on March 15, 2011 about Khan Academy: A World Class Education to Anyone, Anywhere.\n\nSalman Khan is the founder and faculty of Khan Academy http://www.khanacademy.org/ a not-for-profit educational organization. With the stated mission \"of providing a high quality education to anyone, anywhere\", the Academy supplies a free online collection of over 2,000 videos on mathematics, history, finance, physics, chemistry, astronomy, and economics.\n\nIn late 2004, Khan began tutoring his cousin in mathematics using Yahoo!'s Doodle notepad. When other relatives and friends sought his tutorial, he decided it would be more practical to distribute the tutorials on YouTube. Their popularity there and the testimonials of appreciative students prompted Khan to quit his job in finance in 2009 and focus on the Academy full-time.\n\nKhan Academy's channel on YouTube http://www.youtube.com/user/khanacademy has 45+ million views so far and it's one of YouTube's most successful academic partners.\n\nIn September 2010, Google announced they would be providing the Khan Academy with $2 million to support the creation of more courses and to enable the Khan Academy to translate their core library into the world's most widely spoken languages, as part of Project 10^100, http://www.project10tothe100.com/.\n\nKhan is aiming at making nothing less than \"tens of thousands\" of tutorials offering the \"first free, world-class virtual school where anyone can learn anything.\"", "title": "Authors@Google: Salman Khan", "progress_key": "v47057782", "edit_slug": "edit/v/47057782", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan spoke to Googlers in Mountain View, California on March 15, 2011 about Khan Academy: A World Class Education to Anyone, Anywhere.\n\nSalman Khan is the founder and faculty of Khan Academy http://www.khanacademy.org/ a not-for-profit educational organization. With the stated mission \"of providing a high quality education to anyone, anywhere\", the Academy supplies a free online collection of over 2,000 videos on mathematics, history, finance, physics, chemistry, astronomy, and economics.\n\nIn late 2004, Khan began tutoring his cousin in mathematics using Yahoo!'s Doodle notepad. When other relatives and friends sought his tutorial, he decided it would be more practical to distribute the tutorials on YouTube. Their popularity there and the testimonials of appreciative students prompted Khan to quit his job in finance in 2009 and focus on the Academy full-time.\n\nKhan Academy's channel on YouTube http://www.youtube.com/user/khanacademy has 45+ million views so far and it's one of YouTube's most successful academic partners.\n\nIn September 2010, Google announced they would be providing the Khan Academy with $2 million to support the creation of more courses and to enable the Khan Academy to translate their core library into the world's most widely spoken languages, as part of Project 10^100, http://www.project10tothe100.com/.\n\nKhan is aiming at making nothing less than \"tens of thousands\" of tutorials offering the \"first free, world-class virtual school where anyone can learn anything.\"", "extra_properties": {"original_url": ""}, "node_slug": "v/authors-google--salman-khan", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-31T00:00:16Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PhO2gshIVuE.mp4/PhO2gshIVuE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PhO2gshIVuE.mp4/PhO2gshIVuE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PhO2gshIVuE.m3u8/PhO2gshIVuE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PhO2gshIVuE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v47057782", "sha": "d08dd7a936039ad5fe7ce100cd06965f5e881e6c", "translated_description": "Salman Khan spoke to Googlers in Mountain View, California on March 15, 2011 about Khan Academy: A World Class Education to Anyone, Anywhere.\n\nSalman Khan is the founder and faculty of Khan Academy http://www.khanacademy.org/ a not-for-profit educational organization. With the stated mission \"of providing a high quality education to anyone, anywhere\", the Academy supplies a free online collection of over 2,000 videos on mathematics, history, finance, physics, chemistry, astronomy, and economics.\n\nIn late 2004, Khan began tutoring his cousin in mathematics using Yahoo!'s Doodle notepad. When other relatives and friends sought his tutorial, he decided it would be more practical to distribute the tutorials on YouTube. Their popularity there and the testimonials of appreciative students prompted Khan to quit his job in finance in 2009 and focus on the Academy full-time.\n\nKhan Academy's channel on YouTube http://www.youtube.com/user/khanacademy has 45+ million views so far and it's one of YouTube's most successful academic partners.\n\nIn September 2010, Google announced they would be providing the Khan Academy with $2 million to support the creation of more courses and to enable the Khan Academy to translate their core library into the world's most widely spoken languages, as part of Project 10^100, http://www.project10tothe100.com/.\n\nKhan is aiming at making nothing less than \"tens of thousands\" of tutorials offering the \"first free, world-class virtual school where anyone can learn anything.\"", "image_url": "https://img.youtube.com/vi/PhO2gshIVuE/hqdefault.jpg", "youtube_id": "PhO2gshIVuE", "content_kind": "Video", "readable_id": "authors-google--salman-khan"}, {"translated_youtube_id": "l-QFT7XNeb4", "relative_url": "/video/sal-on-airtalk-talking-about-his-new-book", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/sal-on-airtalk-talking-about-his-new-book", "duration": 1022, "translated_title": "Radio interview: Sal on AirTalk talking about his new book", "translated_description_html": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "id": "1101921746", "description_html": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "title": "Radio interview: Sal on AirTalk talking about his new book", "progress_key": "v1101921746", "edit_slug": "edit/v/1101921746", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-on-airtalk-talking-about-his-new-book", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2012-10-23T16:39:06Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.mp4/l-QFT7XNeb4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.mp4/l-QFT7XNeb4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/l-QFT7XNeb4.m3u8/l-QFT7XNeb4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=l-QFT7XNeb4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1101921746", "sha": "1d57ff6d1167c2bb719d4a5d97f4c152b52097e6", "translated_description": "Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)", "image_url": "https://img.youtube.com/vi/l-QFT7XNeb4/hqdefault.jpg", "youtube_id": "l-QFT7XNeb4", "content_kind": "Video", "readable_id": "sal-on-airtalk-talking-about-his-new-book"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "one-world-schoolhouse", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-07-13T00:08:13Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdea303c8", "topic_page_url": "/talks-and-interviews/one-world-schoolhouse", "extended_slug": "talks-and-interviews/one-world-schoolhouse", "slug": "one-world-schoolhouse", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "439d4aa7e48ec16b446218189a1fc6ed5241767f", "standalone_title": "\"The One World Schoolhouse\" book", "y_pos": 0.0, "current_revision_key": "439d4aa7e48ec16b446218189a1fc6ed5241767f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/talks-and-interviews/other-features", "web_url": "", "ka_url": "http://www.khanacademy.org/talks-and-interviews/other-features", "translated_standalone_title": "Other features", "translated_title": "Other features", "gplus_url": "", "id": "x39b8b564", "old_key_name": "w-BkS8gGFuysyNTQUFD1Nr4gsdPOtfBaqS-Vludh", "hide": false, "title": "Other features", "child_data": [{"kind": "Video", "id": 23730}, {"kind": "Video", "id": 775653951}, {"kind": "Video", "id": 284847656}, {"kind": "Video", "id": 104950934}, {"kind": "Video", "id": 775698705}, {"kind": "Video", "id": 25889}, {"kind": "Video", "id": 104950933}, {"kind": "Video", "id": 25887}, {"kind": "Video", "id": 2605013}, {"kind": "Video", "id": 28230}, {"kind": "Video", "id": 25881}, {"kind": "Video", "id": 25883}, {"kind": "Video", "id": 25885}, {"kind": "Video", "id": 28233}, {"kind": "Video", "id": 28232}, {"kind": "Video", "id": 77656904}, {"kind": "Video", "id": 26979}, {"kind": "Video", "id": 6022687}, {"kind": "Video", "id": 42110748}, {"kind": "Video", "id": 6022758}, {"kind": "Video", "id": 66192017}, {"kind": "Video", "id": 13179353}, {"kind": "Video", "id": 85577556}, {"kind": "Video", "id": 284847657}, {"kind": "Video", "id": 96997392}, {"kind": "Video", "id": 103047863}, {"kind": "Video", "id": 284847655}, {"kind": "Video", "id": 104950935}, {"kind": "Video", "id": 120336351}, {"kind": "Video", "id": 13179602}, {"kind": "Video", "id": 127447915}, {"kind": "Video", "id": 203852445}, {"kind": "Video", "id": 209609263}, {"kind": "Video", "id": 215376847}, {"kind": "Video", "id": 209609260}, {"kind": "Video", "id": 209609259}, {"kind": "Video", "id": 209609262}, {"kind": "Video", "id": 248597396}, {"kind": "Video", "id": 250660727}, {"kind": "Video", "id": 248597398}, {"kind": "Video", "id": 248597397}, {"kind": "Video", "id": 287125059}, {"kind": "Video", "id": 326408429}, {"kind": "Video", "id": 467870005}, {"kind": "Video", "id": 1104318503}, {"kind": "Video", "id": 1049279550}, {"kind": "Video", "id": 894693039}, {"kind": "Video", "id": 613922424}, {"kind": "Video", "id": 613894548}, {"kind": "Video", "id": 843930091}, {"kind": "Video", "id": 120336351}, {"kind": "Video", "id": 79021095}, {"kind": "Video", "id": 1304182161}, {"kind": "Video", "id": 2581077}, {"kind": "Video", "id": 33759735}, {"kind": "Video", "id": 231149513}, {"kind": "Video", "id": 8187408}, {"kind": "Video", "id": 6022686}, {"kind": "Video", "id": 775653951}, {"kind": "Video", "id": 1013985489}, {"kind": "Video", "id": "xf42d65d8"}, {"kind": "Video", "id": "x71c07125"}], "children": [{"translated_youtube_id": "wRf6XiEZ_Y8", "relative_url": "/video/khan-academy-vision-and-social-return", "has_questions": false, "keywords": "Khan, Academy, Vision, and, Social, Return", "ka_url": "http://www.khanacademy.org/video/khan-academy-vision-and-social-return", "duration": 1482, "translated_title": "Khan Academy Vision and Social Return", "translated_description_html": "An overview of the Khan Academy today and what I see as its potential social impact", "id": "23730", "description_html": "An overview of the Khan Academy today and what I see as its potential social impact", "title": "Khan Academy Vision and Social Return", "progress_key": "v23730", "edit_slug": "edit/v/23730", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "An overview of the Khan Academy today and what I see as its potential social impact", "extra_properties": null, "node_slug": "v/khan-academy-vision-and-social-return", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/wRf6XiEZ_Y8.mp4/wRf6XiEZ_Y8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wRf6XiEZ_Y8.mp4/wRf6XiEZ_Y8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wRf6XiEZ_Y8.m3u8/wRf6XiEZ_Y8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=wRf6XiEZ_Y8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v23730", "sha": "ccee7b5dcea50cc3259d96ec0d9eb8e67430854e", "translated_description": "An overview of the Khan Academy today and what I see as its potential social impact", "image_url": "https://img.youtube.com/vi/wRf6XiEZ_Y8/hqdefault.jpg", "youtube_id": "wRf6XiEZ_Y8", "content_kind": "Video", "readable_id": "khan-academy-vision-and-social-return"}, {"translated_youtube_id": "EUQCACf2EzA", "relative_url": "/video/videocast-with-sal-khan--effectively-using-khan-academy", "has_questions": false, "keywords": "Sal Khan, Videocast, Khan Academy, digital learning, technology, classroom, Salman Khan", "ka_url": "http://www.khanacademy.org/video/videocast-with-sal-khan--effectively-using-khan-academy", "duration": 2182, "translated_title": "Videocast with Sal Khan: Effectively Using Khan Academy", "translated_description_html": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "id": "775653951", "description_html": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "title": "Videocast with Sal Khan: Effectively Using Khan Academy", "progress_key": "v775653951", "edit_slug": "edit/v/775653951", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "extra_properties": {"original_url": ""}, "node_slug": "v/videocast-with-sal-khan--effectively-using-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-10T00:34:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.mp4/EUQCACf2EzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.mp4/EUQCACf2EzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.m3u8/EUQCACf2EzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EUQCACf2EzA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v775653951", "sha": "a707498152871e5dd8659e21851983dad7d9b172", "translated_description": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "image_url": "https://img.youtube.com/vi/EUQCACf2EzA/hqdefault.jpg", "youtube_id": "EUQCACf2EzA", "content_kind": "Video", "readable_id": "videocast-with-sal-khan--effectively-using-khan-academy"}, {"translated_youtube_id": "_4qoTgnx1oQ", "relative_url": "/video/ka-on-john-stossel--documentary", "has_questions": false, "keywords": "John, Stossel, Stupid, in, America, F, YouTube", "ka_url": "http://www.khanacademy.org/video/ka-on-john-stossel--documentary", "duration": 293, "translated_title": "KA on John Stossel Documentary", "translated_description_html": "Khan Academy on Jon Stossel Documentary in September 2011", "id": "284847656", "description_html": "Khan Academy on Jon Stossel Documentary in September 2011", "title": "KA on John Stossel Documentary", "progress_key": "v284847656", "edit_slug": "edit/v/284847656", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Khan Academy on Jon Stossel Documentary in September 2011", "extra_properties": null, "node_slug": "v/ka-on-john-stossel--documentary", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-02T10:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/_4qoTgnx1oQ.mp4/_4qoTgnx1oQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_4qoTgnx1oQ.mp4/_4qoTgnx1oQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_4qoTgnx1oQ.m3u8/_4qoTgnx1oQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=_4qoTgnx1oQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284847656", "sha": "3bfb301b321ac8847f89d30e545a30a6cbe9cb2f", "translated_description": "Khan Academy on Jon Stossel Documentary in September 2011", "image_url": "https://img.youtube.com/vi/_4qoTgnx1oQ/hqdefault.jpg", "youtube_id": "_4qoTgnx1oQ", "content_kind": "Video", "readable_id": "ka-on-john-stossel--documentary"}, {"translated_youtube_id": "7w3DHilPtI4", "relative_url": "/video/khan-academy-on-perry-s-principles--6-2-2011", "has_questions": false, "keywords": "salman, khan", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-perry-s-principles--6-2-2011", "duration": 154, "translated_title": "Khan Academy on Perry's Principles (6/2/2011)", "translated_description_html": "Khan Academy on Perry's Principles", "id": "104950934", "description_html": "Khan Academy on Perry's Principles", "title": "Khan Academy on Perry's Principles (6/2/2011)", "progress_key": "v104950934", "edit_slug": "edit/v/104950934", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Khan Academy on Perry's Principles", "extra_properties": null, "node_slug": "v/khan-academy-on-perry-s-principles--6-2-2011", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-06-04T23:27:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/7w3DHilPtI4.mp4/7w3DHilPtI4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7w3DHilPtI4.mp4/7w3DHilPtI4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7w3DHilPtI4.m3u8/7w3DHilPtI4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=7w3DHilPtI4&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v104950934", "sha": "fe390db49a282f1ecdfe9c82f53a72b8108864f4", "translated_description": "Khan Academy on Perry's Principles", "image_url": "https://img.youtube.com/vi/7w3DHilPtI4/hqdefault.jpg", "youtube_id": "7w3DHilPtI4", "content_kind": "Video", "readable_id": "khan-academy-on-perry-s-principles--6-2-2011"}, {"translated_youtube_id": "OX76RXuFWmk", "relative_url": "/video/ed-session-iii-with-sal-khan---reactions-in-idaho", "has_questions": false, "keywords": "Khan Academy, ED SESSIONS, anywhere anytime learning, self paced learning, student driven learning, Salman Khan, Sal Khan, limitless learning, ID21, technology in classrooms", "ka_url": "http://www.khanacademy.org/video/ed-session-iii-with-sal-khan---reactions-in-idaho", "duration": 123, "translated_title": "ED SESSION III with Sal Khan - Reactions in Idaho", "translated_description_html": "Sal Khan, founder of Khan Academy, mixes it up with Idahoans at the Egyptian Theatre in ED SESSION III: Reinventing Our Education Future.", "id": "775698705", "description_html": "Sal Khan, founder of Khan Academy, mixes it up with Idahoans at the Egyptian Theatre in ED SESSION III: Reinventing Our Education Future.", "title": "ED SESSION III with Sal Khan - Reactions in Idaho", "progress_key": "v775698705", "edit_slug": "edit/v/775698705", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal Khan, founder of Khan Academy, mixes it up with Idahoans at the Egyptian Theatre in ED SESSION III: Reinventing Our Education Future.", "extra_properties": null, "node_slug": "v/ed-session-iii-with-sal-khan---reactions-in-idaho", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-10T00:33:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OX76RXuFWmk.mp4/OX76RXuFWmk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OX76RXuFWmk.mp4/OX76RXuFWmk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OX76RXuFWmk.m3u8/OX76RXuFWmk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OX76RXuFWmk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v775698705", "sha": "fe951a8e468d491a26652fa674711bde4cfba9c6", "translated_description": "Sal Khan, founder of Khan Academy, mixes it up with Idahoans at the Egyptian Theatre in ED SESSION III: Reinventing Our Education Future.", "image_url": "https://img.youtube.com/vi/OX76RXuFWmk/hqdefault.jpg", "youtube_id": "OX76RXuFWmk", "content_kind": "Video", "readable_id": "ed-session-iii-with-sal-khan---reactions-in-idaho"}, {"translated_youtube_id": "PY5VKiG_IXE", "relative_url": "/video/salman-khan-on-cnn", "has_questions": false, "keywords": "salman, khan, cnn, academy", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-cnn", "duration": 186, "translated_title": "Salman Khan on CNN", "translated_description_html": "Salman Khan of the Khan Academy on CNN", "id": "25889", "description_html": "Salman Khan of the Khan Academy on CNN", "title": "Salman Khan on CNN", "progress_key": "v25889", "edit_slug": "edit/v/25889", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan of the Khan Academy on CNN", "extra_properties": null, "node_slug": "v/salman-khan-on-cnn", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PY5VKiG_IXE.mp4/PY5VKiG_IXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PY5VKiG_IXE.mp4/PY5VKiG_IXE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PY5VKiG_IXE.m3u8/PY5VKiG_IXE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PY5VKiG_IXE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25889", "sha": "f4729231b81aa99a8a2002713fe79935f614ae29", "translated_description": "Salman Khan of the Khan Academy on CNN", "image_url": "https://img.youtube.com/vi/PY5VKiG_IXE/hqdefault.jpg", "youtube_id": "PY5VKiG_IXE", "content_kind": "Video", "readable_id": "salman-khan-on-cnn"}, {"translated_youtube_id": "JZ-v4_3Zf4c", "relative_url": "/video/salman-khan-at-tiecon-2011", "has_questions": false, "keywords": "TIE, entrpreneurship", "ka_url": "http://www.khanacademy.org/video/salman-khan-at-tiecon-2011", "duration": 2348, "translated_title": "Salman Khan at TiEcon 2011", "translated_description_html": "Talk and Q&A (with Raj Mithai)", "id": "104950933", "description_html": "Talk and Q&A (with Raj Mithai)", "title": "Salman Khan at TiEcon 2011", "progress_key": "v104950933", "edit_slug": "edit/v/104950933", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Talk and Q&A (with Raj Mithai)", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-at-tiecon-2011", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-06-04T23:27:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JZ-v4_3Zf4c.mp4/JZ-v4_3Zf4c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JZ-v4_3Zf4c.mp4/JZ-v4_3Zf4c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JZ-v4_3Zf4c.m3u8/JZ-v4_3Zf4c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JZ-v4_3Zf4c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v104950933", "sha": "eb46c06a65eba7384ce9cf5646598f2d5e75853f", "translated_description": "Talk and Q&A (with Raj Mithai)", "image_url": "https://img.youtube.com/vi/JZ-v4_3Zf4c/hqdefault.jpg", "youtube_id": "JZ-v4_3Zf4c", "content_kind": "Video", "readable_id": "salman-khan-at-tiecon-2011"}, {"translated_youtube_id": "HycjWQcAymQ", "relative_url": "/video/pbs-newshour-on-the-khan-academy", "has_questions": false, "keywords": "online, instruction, salman, khan", "ka_url": "http://www.khanacademy.org/video/pbs-newshour-on-the-khan-academy", "duration": 370, "translated_title": "PBS NewsHour on the Khan Academy", "translated_description_html": "PBS NewsHour piece on the Khan Academy", "id": "25887", "description_html": "PBS NewsHour piece on the Khan Academy", "title": "PBS NewsHour on the Khan Academy", "progress_key": "v25887", "edit_slug": "edit/v/25887", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "PBS NewsHour piece on the Khan Academy", "extra_properties": null, "node_slug": "v/pbs-newshour-on-the-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/HycjWQcAymQ.mp4/HycjWQcAymQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HycjWQcAymQ.mp4/HycjWQcAymQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HycjWQcAymQ.m3u8/HycjWQcAymQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=HycjWQcAymQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25887", "sha": "84401dfabf4785ec6f7f0d7fe69f270756387e65", "translated_description": "PBS NewsHour piece on the Khan Academy", "image_url": "https://img.youtube.com/vi/HycjWQcAymQ/hqdefault.jpg", "youtube_id": "HycjWQcAymQ", "content_kind": "Video", "readable_id": "pbs-newshour-on-the-khan-academy"}, {"translated_youtube_id": "yTXKCzrFh3c", "relative_url": "/video/salman-khan-speaks-at-gel--good-experience-live--conference", "has_questions": false, "keywords": "salman, Khan, GEL", "ka_url": "http://www.khanacademy.org/video/salman-khan-speaks-at-gel--good-experience-live--conference", "duration": 1205, "translated_title": "Salman Khan Speaks at GEL (Good Experience Live) Conference", "translated_description_html": "Salman Khan speaks at GEL (Good Experience Live) Conference", "id": "2605013", "description_html": "Salman Khan speaks at GEL (Good Experience Live) Conference", "title": "Salman Khan Speaks at GEL (Good Experience Live) Conference", "progress_key": "v2605013", "edit_slug": "edit/v/2605013", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan speaks at GEL (Good Experience Live) Conference", "extra_properties": null, "node_slug": "v/salman-khan-speaks-at-gel--good-experience-live--conference", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/yTXKCzrFh3c.mp4/yTXKCzrFh3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yTXKCzrFh3c.mp4/yTXKCzrFh3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yTXKCzrFh3c.m3u8/yTXKCzrFh3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=yTXKCzrFh3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v2605013", "sha": "4dc6b4bd6488aa9d9b566ab1fca366dbdd956456", "translated_description": "Salman Khan speaks at GEL (Good Experience Live) Conference", "image_url": "https://img.youtube.com/vi/yTXKCzrFh3c/hqdefault.jpg", "youtube_id": "yTXKCzrFh3c", "content_kind": "Video", "readable_id": "salman-khan-speaks-at-gel--good-experience-live--conference"}, {"translated_youtube_id": "1C7FH7El35w", "relative_url": "/video/salman-khan-talk-at-the-mit-club-of-northern-california", "has_questions": false, "keywords": "MIT, Salman, Khan, Academy", "ka_url": "http://www.khanacademy.org/video/salman-khan-talk-at-the-mit-club-of-northern-california", "duration": 5008, "translated_title": "Salman Khan Talk at the MIT Club of Northern California", "translated_description_html": "Salman Khan Talk at the MIT Club of Northern California", "id": "28230", "description_html": "Salman Khan Talk at the MIT Club of Northern California", "title": "Salman Khan Talk at the MIT Club of Northern California", "progress_key": "v28230", "edit_slug": "edit/v/28230", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan Talk at the MIT Club of Northern California", "extra_properties": null, "node_slug": "v/salman-khan-talk-at-the-mit-club-of-northern-california", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1C7FH7El35w.mp4/1C7FH7El35w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1C7FH7El35w.mp4/1C7FH7El35w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1C7FH7El35w.m3u8/1C7FH7El35w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1C7FH7El35w&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28230", "sha": "0719d2a9fc9e9c660ea58e36d01249182459220f", "translated_description": "Salman Khan Talk at the MIT Club of Northern California", "image_url": "https://img.youtube.com/vi/1C7FH7El35w/hqdefault.jpg", "youtube_id": "1C7FH7El35w", "content_kind": "Video", "readable_id": "salman-khan-talk-at-the-mit-club-of-northern-california"}, {"translated_youtube_id": "VsS7bo3JMqk", "relative_url": "/video/salman-khan-talk-at-castilleja-school-on-january-5th--2010", "has_questions": false, "keywords": "salman, khan, academy, castilleja", "ka_url": "http://www.khanacademy.org/video/salman-khan-talk-at-castilleja-school-on-january-5th--2010", "duration": 3506, "translated_title": "Salman Khan talk at Castilleja School on January 5th, 2010", "translated_description_html": "Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010", "id": "25881", "description_html": "Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010", "title": "Salman Khan talk at Castilleja School on January 5th, 2010", "progress_key": "v25881", "edit_slug": "edit/v/25881", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010", "extra_properties": null, "node_slug": "v/salman-khan-talk-at-castilleja-school-on-january-5th--2010", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VsS7bo3JMqk.mp4/VsS7bo3JMqk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VsS7bo3JMqk.mp4/VsS7bo3JMqk.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VsS7bo3JMqk.m3u8/VsS7bo3JMqk.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VsS7bo3JMqk&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25881", "sha": "d1be12ba0622738801a61d9d487706b9a4993f7c", "translated_description": "Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010", "image_url": "https://img.youtube.com/vi/VsS7bo3JMqk/hqdefault.jpg", "youtube_id": "VsS7bo3JMqk", "content_kind": "Video", "readable_id": "salman-khan-talk-at-castilleja-school-on-january-5th--2010"}, {"translated_youtube_id": "1uf_DeazfZg", "relative_url": "/video/sal-khan-interview-with-it-conversations---january-31-2010", "has_questions": false, "keywords": "khan, academy, it, conversations", "ka_url": "http://www.khanacademy.org/video/sal-khan-interview-with-it-conversations---january-31-2010", "duration": 2666, "translated_title": "Sal Khan Interview with IT Conversations - January 31,2010", "translated_description_html": "Interview with IT Conversations - January 31,2010", "id": "25883", "description_html": "Interview with IT Conversations - January 31,2010", "title": "Sal Khan Interview with IT Conversations - January 31,2010", "progress_key": "v25883", "edit_slug": "edit/v/25883", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interview with IT Conversations - January 31,2010", "extra_properties": null, "node_slug": "v/sal-khan-interview-with-it-conversations---january-31-2010", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1uf_DeazfZg.mp4/1uf_DeazfZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1uf_DeazfZg.mp4/1uf_DeazfZg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1uf_DeazfZg.m3u8/1uf_DeazfZg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1uf_DeazfZg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25883", "sha": "b20757cc3dd8054d57b903ad3d6dac0ee28fdf42", "translated_description": "Interview with IT Conversations - January 31,2010", "image_url": "https://img.youtube.com/vi/1uf_DeazfZg/hqdefault.jpg", "youtube_id": "1uf_DeazfZg", "content_kind": "Video", "readable_id": "sal-khan-interview-with-it-conversations---january-31-2010"}, {"translated_youtube_id": "po3DAsr6mDE", "relative_url": "/video/salman-khan-interview-with-npr-s-all-things-considered-on-12-28-2009", "has_questions": false, "keywords": "Salman, Khan, Academy, NPR, All, things, considered", "ka_url": "http://www.khanacademy.org/video/salman-khan-interview-with-npr-s-all-things-considered-on-12-28-2009", "duration": 475, "translated_title": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "translated_description_html": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "id": "25885", "description_html": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "title": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "progress_key": "v25885", "edit_slug": "edit/v/25885", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "extra_properties": null, "node_slug": "v/salman-khan-interview-with-npr-s-all-things-considered-on-12-28-2009", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/po3DAsr6mDE.mp4/po3DAsr6mDE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/po3DAsr6mDE.mp4/po3DAsr6mDE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/po3DAsr6mDE.m3u8/po3DAsr6mDE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=po3DAsr6mDE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v25885", "sha": "d80716d7553cb500a72637b3b0fcbcf3146dd384", "translated_description": "Salman Khan interview with NPR's All Things Considered on 12/28/2009", "image_url": "https://img.youtube.com/vi/po3DAsr6mDE/hqdefault.jpg", "youtube_id": "po3DAsr6mDE", "content_kind": "Video", "readable_id": "salman-khan-interview-with-npr-s-all-things-considered-on-12-28-2009"}, {"translated_youtube_id": "YQtXHp5wXLE", "relative_url": "/video/salman-khan-interview-with-mixergy-com", "has_questions": false, "keywords": "Salman, Khan, Interview, with, Mixergy.com", "ka_url": "http://www.khanacademy.org/video/salman-khan-interview-with-mixergy-com", "duration": 3505, "translated_title": "Salman Khan Interview with Mixergy.com", "translated_description_html": "Salman Khan Interview with Mixergy.com", "id": "28233", "description_html": "Salman Khan Interview with Mixergy.com", "title": "Salman Khan Interview with Mixergy.com", "progress_key": "v28233", "edit_slug": "edit/v/28233", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman Khan Interview with Mixergy.com", "extra_properties": null, "node_slug": "v/salman-khan-interview-with-mixergy-com", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YQtXHp5wXLE.mp4/YQtXHp5wXLE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YQtXHp5wXLE.mp4/YQtXHp5wXLE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YQtXHp5wXLE.m3u8/YQtXHp5wXLE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YQtXHp5wXLE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28233", "sha": "afc6b9934b33353eaa7a21b99a42465257568704", "translated_description": "Salman Khan Interview with Mixergy.com", "image_url": "https://img.youtube.com/vi/YQtXHp5wXLE/hqdefault.jpg", "youtube_id": "YQtXHp5wXLE", "content_kind": "Video", "readable_id": "salman-khan-interview-with-mixergy-com"}, {"translated_youtube_id": "72wRgtH6eJ0", "relative_url": "/video/brian-lehrer-interview-with-salman-khan", "has_questions": false, "keywords": "Brian, Lehrer, Interview, with, Salman, Khan", "ka_url": "http://www.khanacademy.org/video/brian-lehrer-interview-with-salman-khan", "duration": 957, "translated_title": "Brian Lehrer Interview with Salman Khan", "translated_description_html": "Brian Lehrer Interview with Salman Khan", "id": "28232", "description_html": "Brian Lehrer Interview with Salman Khan", "title": "Brian Lehrer Interview with Salman Khan", "progress_key": "v28232", "edit_slug": "edit/v/28232", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Brian Lehrer Interview with Salman Khan", "extra_properties": null, "node_slug": "v/brian-lehrer-interview-with-salman-khan", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/72wRgtH6eJ0.mp4/72wRgtH6eJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/72wRgtH6eJ0.mp4/72wRgtH6eJ0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/72wRgtH6eJ0.m3u8/72wRgtH6eJ0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=72wRgtH6eJ0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v28232", "sha": "fc796efd4eb1cef214e0089f4639f37f38c8c1dc", "translated_description": "Brian Lehrer Interview with Salman Khan", "image_url": "https://img.youtube.com/vi/72wRgtH6eJ0/hqdefault.jpg", "youtube_id": "72wRgtH6eJ0", "content_kind": "Video", "readable_id": "brian-lehrer-interview-with-salman-khan"}, {"translated_youtube_id": "pRevFhvu8yc", "relative_url": "/video/tedxsanjoseca---salman-khan----sequel-to-talk-at-ted", "has_questions": false, "keywords": "khan, ACademy, education, mastery", "ka_url": "http://www.khanacademy.org/video/tedxsanjoseca---salman-khan----sequel-to-talk-at-ted", "duration": 1036, "translated_title": "TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED)", "translated_description_html": "Sequel to Sal's TED talk (TED talk should be watched before this one)", "id": "77656904", "description_html": "Sequel to Sal's TED talk (TED talk should be watched before this one)", "title": "TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED)", "progress_key": "v77656904", "edit_slug": "edit/v/77656904", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sequel to Sal's TED talk (TED talk should be watched before this one)", "extra_properties": null, "node_slug": "v/tedxsanjoseca---salman-khan----sequel-to-talk-at-ted", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-05-04T23:26:14Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pRevFhvu8yc.mp4/pRevFhvu8yc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pRevFhvu8yc.mp4/pRevFhvu8yc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pRevFhvu8yc.m3u8/pRevFhvu8yc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pRevFhvu8yc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v77656904", "sha": "e625839941a1848cbc7c03c9f538a852a2b3671c", "translated_description": "Sequel to Sal's TED talk (TED talk should be watched before this one)", "image_url": "https://img.youtube.com/vi/pRevFhvu8yc/hqdefault.jpg", "youtube_id": "pRevFhvu8yc", "content_kind": "Video", "readable_id": "tedxsanjoseca---salman-khan----sequel-to-talk-at-ted"}, {"translated_youtube_id": "PhHWmehThg8", "relative_url": "/video/bay-area-cbs-station-with-salman-khan", "has_questions": false, "keywords": "Bay, Area, CBS, Station, with, Salman, Khan", "ka_url": "http://www.khanacademy.org/video/bay-area-cbs-station-with-salman-khan", "duration": 126, "translated_title": "Bay Area CBS Station with Salman Khan", "translated_description_html": "Bay Area CBS Station with Salman Khan", "id": "26979", "description_html": "Bay Area CBS Station with Salman Khan", "title": "Bay Area CBS Station with Salman Khan", "progress_key": "v26979", "edit_slug": "edit/v/26979", "author_names": ["Sal Khan", "Monterey Institute for Technology and Education"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bay Area CBS Station with Salman Khan", "extra_properties": null, "node_slug": "v/bay-area-cbs-station-with-salman-khan", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:29:22Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PhHWmehThg8.mp4/PhHWmehThg8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PhHWmehThg8.mp4/PhHWmehThg8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PhHWmehThg8.m3u8/PhHWmehThg8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PhHWmehThg8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v26979", "sha": "6028ce34e62c33b8565d0b92a0c64cfd863df6af", "translated_description": "Bay Area CBS Station with Salman Khan", "image_url": "https://img.youtube.com/vi/PhHWmehThg8/hqdefault.jpg", "youtube_id": "PhHWmehThg8", "content_kind": "Video", "readable_id": "bay-area-cbs-station-with-salman-khan"}, {"translated_youtube_id": "ngk8k04zKHY", "relative_url": "/video/fareed-zakaria-talks-about-khan-academy-on-cnn-gps", "has_questions": false, "keywords": "Fareed, Zakaria, Salman, Khan, Academy", "ka_url": "http://www.khanacademy.org/video/fareed-zakaria-talks-about-khan-academy-on-cnn-gps", "duration": 73, "translated_title": "Fareed Zakaria talks about Khan Academy on CNN GPS", "translated_description_html": "Fareed Zakaria talks about Khan Academy on CNN GPS", "id": "6022687", "description_html": "Fareed Zakaria talks about Khan Academy on CNN GPS", "title": "Fareed Zakaria talks about Khan Academy on CNN GPS", "progress_key": "v6022687", "edit_slug": "edit/v/6022687", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Fareed Zakaria talks about Khan Academy on CNN GPS", "extra_properties": null, "node_slug": "v/fareed-zakaria-talks-about-khan-academy-on-cnn-gps", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/ngk8k04zKHY.mp4/ngk8k04zKHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ngk8k04zKHY.mp4/ngk8k04zKHY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ngk8k04zKHY.m3u8/ngk8k04zKHY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=ngk8k04zKHY&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022687", "sha": "929cc636b1cfbd3b4ea3cf318f14bfb5e8f69794", "translated_description": "Fareed Zakaria talks about Khan Academy on CNN GPS", "image_url": "https://img.youtube.com/vi/ngk8k04zKHY/hqdefault.jpg", "youtube_id": "ngk8k04zKHY", "content_kind": "Video", "readable_id": "fareed-zakaria-talks-about-khan-academy-on-cnn-gps"}, {"translated_youtube_id": "1nIbQK3Gwfo", "relative_url": "/video/sal-on-dylan-ratigan-show", "has_questions": false, "keywords": "salman, khan, news", "ka_url": "http://www.khanacademy.org/video/sal-on-dylan-ratigan-show", "duration": 458, "translated_title": "Sal on Dylan Ratigan show", "translated_description_html": "Sal on Dylan Ratigan show (3/22/2011)", "id": "42110748", "description_html": "Sal on Dylan Ratigan show (3/22/2011)", "title": "Sal on Dylan Ratigan show", "progress_key": "v42110748", "edit_slug": "edit/v/42110748", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal on Dylan Ratigan show (3/22/2011)", "extra_properties": null, "node_slug": "v/sal-on-dylan-ratigan-show", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-25T14:03:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1nIbQK3Gwfo.mp4/1nIbQK3Gwfo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1nIbQK3Gwfo.mp4/1nIbQK3Gwfo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1nIbQK3Gwfo.m3u8/1nIbQK3Gwfo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1nIbQK3Gwfo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v42110748", "sha": "f9f1306fe282b55a0af2eab5053939ab50501dde", "translated_description": "Sal on Dylan Ratigan show (3/22/2011)", "image_url": "https://img.youtube.com/vi/1nIbQK3Gwfo/hqdefault.jpg", "youtube_id": "1nIbQK3Gwfo", "content_kind": "Video", "readable_id": "sal-on-dylan-ratigan-show"}, {"translated_youtube_id": "UuMTSU9DcqQ", "relative_url": "/video/khan-academy-on-the-gates-notes", "has_questions": false, "keywords": "Bill, Gates, Salman, Khan, Academy", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-the-gates-notes", "duration": 142, "translated_title": "Khan Academy on the Gates Notes", "translated_description_html": "Bill Gates talks about the Khan Academy on the Gates Notes", "id": "6022758", "description_html": "Bill Gates talks about the Khan Academy on the Gates Notes", "title": "Khan Academy on the Gates Notes", "progress_key": "v6022758", "edit_slug": "edit/v/6022758", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Bill Gates talks about the Khan Academy on the Gates Notes", "extra_properties": null, "node_slug": "v/khan-academy-on-the-gates-notes", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-02-20T16:45:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UuMTSU9DcqQ.mp4/UuMTSU9DcqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UuMTSU9DcqQ.mp4/UuMTSU9DcqQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UuMTSU9DcqQ.m3u8/UuMTSU9DcqQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UuMTSU9DcqQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v6022758", "sha": "bb5597b2de8f43434220532e667f34d5f4edec1b", "translated_description": "Bill Gates talks about the Khan Academy on the Gates Notes", "image_url": "https://img.youtube.com/vi/UuMTSU9DcqQ/hqdefault.jpg", "youtube_id": "UuMTSU9DcqQ", "content_kind": "Video", "readable_id": "khan-academy-on-the-gates-notes"}, {"translated_youtube_id": "t1F15l7UfqE", "relative_url": "/video/linkedin-speaker-series--salman-khan", "has_questions": false, "keywords": "salman, khan, linkedin", "ka_url": "http://www.khanacademy.org/video/linkedin-speaker-series--salman-khan", "duration": 4494, "translated_title": "LinkedIn Speaker Series Salman Khan", "translated_description_html": "Salman speaking with LinkedIn CEO and employees on April 15, 2011", "id": "66192017", "description_html": "Salman speaking with LinkedIn CEO and employees on April 15, 2011", "title": "LinkedIn Speaker Series Salman Khan", "progress_key": "v66192017", "edit_slug": "edit/v/66192017", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Salman speaking with LinkedIn CEO and employees on April 15, 2011", "extra_properties": null, "node_slug": "v/linkedin-speaker-series--salman-khan", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-04-20T23:26:23Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/t1F15l7UfqE.mp4/t1F15l7UfqE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t1F15l7UfqE.mp4/t1F15l7UfqE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t1F15l7UfqE.m3u8/t1F15l7UfqE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=t1F15l7UfqE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v66192017", "sha": "56497e1323a686cc05b9e83feaa99998232251a3", "translated_description": "Salman speaking with LinkedIn CEO and employees on April 15, 2011", "image_url": "https://img.youtube.com/vi/t1F15l7UfqE/hqdefault.jpg", "youtube_id": "t1F15l7UfqE", "content_kind": "Video", "readable_id": "linkedin-speaker-series--salman-khan"}, {"translated_youtube_id": "UkfppuS0Plg", "relative_url": "/video/forbes--names-you-need-to-know---khan-academy", "has_questions": false, "keywords": "Forbes, com, Video, Network, Technology, Names, You, Need, To, Know, Khan, Academy", "ka_url": "http://www.khanacademy.org/video/forbes--names-you-need-to-know---khan-academy", "duration": 194, "translated_title": "Forbes Names You Need To Know: Khan Academy", "translated_description_html": "Forbes Names You Need To Know: Khan Academy", "id": "13179353", "description_html": "Forbes Names You Need To Know: Khan Academy", "title": "Forbes Names You Need To Know: Khan Academy", "progress_key": "v13179353", "edit_slug": "edit/v/13179353", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Forbes Names You Need To Know: Khan Academy", "extra_properties": null, "node_slug": "v/forbes--names-you-need-to-know---khan-academy", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:45:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UkfppuS0Plg.mp4/UkfppuS0Plg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UkfppuS0Plg.mp4/UkfppuS0Plg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UkfppuS0Plg.m3u8/UkfppuS0Plg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UkfppuS0Plg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179353", "sha": "33aea17cf6ed4a505777b2b5ae4f1f54c3b4c5d0", "translated_description": "Forbes Names You Need To Know: Khan Academy", "image_url": "https://img.youtube.com/vi/UkfppuS0Plg/hqdefault.jpg", "youtube_id": "UkfppuS0Plg", "content_kind": "Video", "readable_id": "forbes--names-you-need-to-know---khan-academy"}, {"translated_youtube_id": "h8GfMq4-K6g", "relative_url": "/video/salman-khan-on-big-think", "has_questions": false, "keywords": "education, khan, academy, school, future", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-big-think", "duration": 156, "translated_title": "Salman Khan on Big Think", "translated_description_html": "Part of Sal's interview on Big Think", "id": "85577556", "description_html": "Part of Sal's interview on Big Think", "title": "Salman Khan on Big Think", "progress_key": "v85577556", "edit_slug": "edit/v/85577556", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Part of Sal's interview on Big Think", "extra_properties": null, "node_slug": "v/salman-khan-on-big-think", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-05-12T23:27:05Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/h8GfMq4-K6g.mp4/h8GfMq4-K6g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h8GfMq4-K6g.mp4/h8GfMq4-K6g.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/h8GfMq4-K6g.m3u8/h8GfMq4-K6g.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=h8GfMq4-K6g&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v85577556", "sha": "4b6b902eb1fb15210669d97259d105aed9bf8604", "translated_description": "Part of Sal's interview on Big Think", "image_url": "https://img.youtube.com/vi/h8GfMq4-K6g/hqdefault.jpg", "youtube_id": "h8GfMq4-K6g", "content_kind": "Video", "readable_id": "salman-khan-on-big-think"}, {"translated_youtube_id": "da-9vUVr9tA", "relative_url": "/video/khan-academy-on-20-20--sep-2011", "has_questions": false, "keywords": "2020, sep", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-20-20--sep-2011", "duration": 198, "translated_title": "Khan Academy on 20/20 (Sep 2011)", "translated_description_html": "Snippet from Khan Academy's appearance on 20/20 story about YouTube", "id": "284847657", "description_html": "Snippet from Khan Academy's appearance on 20/20 story about YouTube", "title": "Khan Academy on 20/20 (Sep 2011)", "progress_key": "v284847657", "edit_slug": "edit/v/284847657", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Snippet from Khan Academy's appearance on 20/20 story about YouTube", "extra_properties": null, "node_slug": "v/khan-academy-on-20-20--sep-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-10-02T10:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/da-9vUVr9tA.mp4/da-9vUVr9tA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/da-9vUVr9tA.mp4/da-9vUVr9tA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/da-9vUVr9tA.m3u8/da-9vUVr9tA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=da-9vUVr9tA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284847657", "sha": "046e526338f737021abab26fe36994670ea0b43f", "translated_description": "Snippet from Khan Academy's appearance on 20/20 story about YouTube", "image_url": "https://img.youtube.com/vi/da-9vUVr9tA/hqdefault.jpg", "youtube_id": "da-9vUVr9tA", "content_kind": "Video", "readable_id": "khan-academy-on-20-20--sep-2011"}, {"translated_youtube_id": "uMjyAp3cs3c", "relative_url": "/video/salman-khan-on-marketplace--npr--on-5-24-2011", "has_questions": false, "keywords": "Khan, Academy", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-marketplace--npr--on-5-24-2011", "duration": 239, "translated_title": "Salman Khan on Marketplace (NPR) on 5-24-2011", "translated_description_html": "Salman Khan on Marketplace (NPR) on 5-24-2011", "id": "96997392", "description_html": "Salman Khan on Marketplace (NPR) on 5-24-2011", "title": "Salman Khan on Marketplace (NPR) on 5-24-2011", "progress_key": "v96997392", "edit_slug": "edit/v/96997392", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan on Marketplace (NPR) on 5-24-2011", "extra_properties": null, "node_slug": "v/salman-khan-on-marketplace--npr--on-5-24-2011", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-26T23:27:09Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/uMjyAp3cs3c.mp4/uMjyAp3cs3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uMjyAp3cs3c.mp4/uMjyAp3cs3c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uMjyAp3cs3c.m3u8/uMjyAp3cs3c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=uMjyAp3cs3c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v96997392", "sha": "a0dd516994b333c465e05f6b22cadfd6d8db08f1", "translated_description": "Salman Khan on Marketplace (NPR) on 5-24-2011", "image_url": "https://img.youtube.com/vi/uMjyAp3cs3c/hqdefault.jpg", "youtube_id": "uMjyAp3cs3c", "content_kind": "Video", "readable_id": "salman-khan-on-marketplace--npr--on-5-24-2011"}, {"translated_youtube_id": "DvyAc6PNbVo", "relative_url": "/video/may-29th--2011-cnn-piece", "has_questions": false, "keywords": "education, khan, academy", "ka_url": "http://www.khanacademy.org/video/may-29th--2011-cnn-piece", "duration": 143, "translated_title": "May 29th, 2011 CNN Piece", "translated_description_html": "Follow up CNN piece to Dan Simon's story on the Khan Academy from last year", "id": "103047863", "description_html": "Follow up CNN piece to Dan Simon's story on the Khan Academy from last year", "title": "May 29th, 2011 CNN Piece", "progress_key": "v103047863", "edit_slug": "edit/v/103047863", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Follow up CNN piece to Dan Simon's story on the Khan Academy from last year", "extra_properties": null, "node_slug": "v/may-29th--2011-cnn-piece", "deleted": false, "backup_timestamp": "2013-09-21T10:38:49Z", "date_added": "2011-06-01T23:27:18Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/DvyAc6PNbVo.mp4/DvyAc6PNbVo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DvyAc6PNbVo.mp4/DvyAc6PNbVo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DvyAc6PNbVo.m3u8/DvyAc6PNbVo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=DvyAc6PNbVo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v103047863", "sha": "a5193a0c72efb2c7626511a1b82de889b62cfc92", "translated_description": "Follow up CNN piece to Dan Simon's story on the Khan Academy from last year", "image_url": "https://img.youtube.com/vi/DvyAc6PNbVo/hqdefault.jpg", "youtube_id": "DvyAc6PNbVo", "content_kind": "Video", "readable_id": "may-29th--2011-cnn-piece"}, {"translated_youtube_id": "pw9fPU4YqUA", "relative_url": "/video/sal-during-education-week--sep-2011--1", "has_questions": false, "keywords": "Sal, during, Education, Week, Sep, 2011, 1", "ka_url": "http://www.khanacademy.org/video/sal-during-education-week--sep-2011--1", "duration": 455, "translated_title": "Sal during Education Week (Sep 2011) 1", "translated_description_html": "Sal on CNBC during Education Nation (Sep 2011)", "id": "284847655", "description_html": "Sal on CNBC during Education Nation (Sep 2011)", "title": "Sal during Education Week (Sep 2011) 1", "progress_key": "v284847655", "edit_slug": "edit/v/284847655", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal on CNBC during Education Nation (Sep 2011)", "extra_properties": null, "node_slug": "v/sal-during-education-week--sep-2011--1", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-10-02T10:01:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/pw9fPU4YqUA.mp4/pw9fPU4YqUA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pw9fPU4YqUA.mp4/pw9fPU4YqUA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pw9fPU4YqUA.m3u8/pw9fPU4YqUA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=pw9fPU4YqUA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v284847655", "sha": "6a264e6e4874243a461cc2ff6cf52c2de79f0998", "translated_description": "Sal on CNBC during Education Nation (Sep 2011)", "image_url": "https://img.youtube.com/vi/pw9fPU4YqUA/hqdefault.jpg", "youtube_id": "pw9fPU4YqUA", "content_kind": "Video", "readable_id": "sal-during-education-week--sep-2011--1"}, {"translated_youtube_id": "rpPbt8EOf00", "relative_url": "/video/khan-academy-on-california-report--june-2011", "has_questions": false, "keywords": "Khan, Academy, on, California, Report, (June, 2011)", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-california-report--june-2011", "duration": 294, "translated_title": "Khan Academy on California Report (June 2011)", "translated_description_html": "Khan Academy on California Report (June 2011)", "id": "104950935", "description_html": "Khan Academy on California Report (June 2011)", "title": "Khan Academy on California Report (June 2011)", "progress_key": "v104950935", "edit_slug": "edit/v/104950935", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Khan Academy on California Report (June 2011)", "extra_properties": null, "node_slug": "v/khan-academy-on-california-report--june-2011", "deleted": false, "backup_timestamp": "2013-09-21T10:38:47Z", "date_added": "2011-06-04T23:27:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/rpPbt8EOf00.mp4/rpPbt8EOf00.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rpPbt8EOf00.mp4/rpPbt8EOf00.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/rpPbt8EOf00.m3u8/rpPbt8EOf00.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=rpPbt8EOf00&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v104950935", "sha": "d835f62158fc3d9961f5888167cd2aa754430234", "translated_description": "Khan Academy on California Report (June 2011)", "image_url": "https://img.youtube.com/vi/rpPbt8EOf00/hqdefault.jpg", "youtube_id": "rpPbt8EOf00", "content_kind": "Video", "readable_id": "khan-academy-on-california-report--june-2011"}, {"translated_youtube_id": "AkSGR_oj0rg", "relative_url": "/video/ideal-math-and-science-class-time", "has_questions": false, "keywords": "constructivist, class, math, science", "ka_url": "http://www.khanacademy.org/video/ideal-math-and-science-class-time", "duration": 216, "translated_title": "Ideal Math and Science Class Time", "translated_description_html": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "id": "120336351", "description_html": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "title": "Ideal Math and Science Class Time", "progress_key": "v120336351", "edit_slug": "edit/v/120336351", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "extra_properties": {"original_url": ""}, "node_slug": "v/ideal-math-and-science-class-time", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-17T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.mp4/AkSGR_oj0rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.mp4/AkSGR_oj0rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.m3u8/AkSGR_oj0rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AkSGR_oj0rg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v120336351", "sha": "4e95f6d1a63a9f2d265c365c8f7f202176fcb4c7", "translated_description": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "image_url": "https://img.youtube.com/vi/AkSGR_oj0rg/hqdefault.jpg", "youtube_id": "AkSGR_oj0rg", "content_kind": "Video", "readable_id": "ideal-math-and-science-class-time"}, {"translated_youtube_id": "Tksh1zHEkIM", "relative_url": "/video/salman-khan-on-kqed-mindshift", "has_questions": false, "keywords": "khan, academy, education, future", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-kqed-mindshift", "duration": 161, "translated_title": "Salman Khan on KQED MindShift", "translated_description_html": "http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/", "id": "13179602", "description_html": "http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/", "title": "Salman Khan on KQED MindShift", "progress_key": "v13179602", "edit_slug": "edit/v/13179602", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/", "extra_properties": null, "node_slug": "v/salman-khan-on-kqed-mindshift", "deleted": false, "backup_timestamp": "2013-09-22T10:35:40Z", "date_added": "2011-02-20T16:45:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tksh1zHEkIM.mp4/Tksh1zHEkIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tksh1zHEkIM.mp4/Tksh1zHEkIM.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tksh1zHEkIM.m3u8/Tksh1zHEkIM.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tksh1zHEkIM&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v13179602", "sha": "e7d61914b2669b24f15e4998a948c42bb985408c", "translated_description": "http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/", "image_url": "https://img.youtube.com/vi/Tksh1zHEkIM/hqdefault.jpg", "youtube_id": "Tksh1zHEkIM", "content_kind": "Video", "readable_id": "salman-khan-on-kqed-mindshift"}, {"translated_youtube_id": "VGxGrEnWVsg", "relative_url": "/video/npr-story-on-ka-los-altos-pilots--june-2011", "has_questions": false, "keywords": "education, technology, los, altos", "ka_url": "http://www.khanacademy.org/video/npr-story-on-ka-los-altos-pilots--june-2011", "duration": 269, "translated_title": "NPR Story on KA Los Altos Pilots (June 2011)", "translated_description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "id": "127447915", "description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "title": "NPR Story on KA Los Altos Pilots (June 2011)", "progress_key": "v127447915", "edit_slug": "edit/v/127447915", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "extra_properties": {"original_url": ""}, "node_slug": "v/npr-story-on-ka-los-altos-pilots--june-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-24T23:27:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.m3u8/VGxGrEnWVsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VGxGrEnWVsg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v127447915", "sha": "ba4247d10ab44edeb8584c09ac201f87fd90b8b8", "translated_description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "image_url": "https://img.youtube.com/vi/VGxGrEnWVsg/hqdefault.jpg", "youtube_id": "VGxGrEnWVsg", "content_kind": "Video", "readable_id": "npr-story-on-ka-los-altos-pilots--june-2011"}, {"translated_youtube_id": "Tz2H8dMMwi0", "relative_url": "/video/salman-khan-interviewed-on-npr-s-on-point", "has_questions": false, "keywords": "interview", "ka_url": "http://www.khanacademy.org/video/salman-khan-interviewed-on-npr-s-on-point", "duration": 2870, "translated_title": "Salman Khan interviewed on NPR's On Point", "translated_description_html": "August 17, 2011", "id": "203852445", "description_html": "August 17, 2011", "title": "Salman Khan interviewed on NPR's On Point", "progress_key": "v203852445", "edit_slug": "edit/v/203852445", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "August 17, 2011", "extra_properties": null, "node_slug": "v/salman-khan-interviewed-on-npr-s-on-point", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-18T21:43:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Tz2H8dMMwi0.mp4/Tz2H8dMMwi0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Tz2H8dMMwi0.mp4/Tz2H8dMMwi0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Tz2H8dMMwi0.m3u8/Tz2H8dMMwi0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Tz2H8dMMwi0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v203852445", "sha": "d860432072e20874808d347ff0b3d251b3f06428", "translated_description": "August 17, 2011", "image_url": "https://img.youtube.com/vi/Tz2H8dMMwi0/hqdefault.jpg", "youtube_id": "Tz2H8dMMwi0", "content_kind": "Video", "readable_id": "salman-khan-interviewed-on-npr-s-on-point"}, {"translated_youtube_id": "FU5twilx7nw", "relative_url": "/video/21st-century-challenges--royal-geographic-society", "has_questions": false, "keywords": "21st, Century, Challenges, Royal, Geographic, Society", "ka_url": "http://www.khanacademy.org/video/21st-century-challenges--royal-geographic-society", "duration": 992, "translated_title": "21st Century Challenges (Royal Geographic Society)", "translated_description_html": "Answers to questions from the Royal Geographic Society", "id": "209609263", "description_html": "Answers to questions from the Royal Geographic Society", "title": "21st Century Challenges (Royal Geographic Society)", "progress_key": "v209609263", "edit_slug": "edit/v/209609263", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Answers to questions from the Royal Geographic Society", "extra_properties": {"original_url": ""}, "node_slug": "v/21st-century-challenges--royal-geographic-society", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.mp4/FU5twilx7nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.mp4/FU5twilx7nw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FU5twilx7nw.m3u8/FU5twilx7nw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=FU5twilx7nw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v209609263", "sha": "68f191e59b18dafbede3074baf6e35b2b269f0ea", "translated_description": "Answers to questions from the Royal Geographic Society", "image_url": "https://img.youtube.com/vi/FU5twilx7nw/hqdefault.jpg", "youtube_id": "FU5twilx7nw", "content_kind": "Video", "readable_id": "21st-century-challenges--royal-geographic-society"}, {"translated_youtube_id": "NV4_Xra0g8E", "relative_url": "/video/answers-to-questions-from-the-independent", "has_questions": false, "keywords": "khan, academy, frequently, asked, questions", "ka_url": "http://www.khanacademy.org/video/answers-to-questions-from-the-independent", "duration": 638, "translated_title": "Answers to Questions from the Independent", "translated_description_html": "Sal answers questions on August 26, 2011", "id": "215376847", "description_html": "Sal answers questions on August 26, 2011", "title": "Answers to Questions from the Independent", "progress_key": "v215376847", "edit_slug": "edit/v/215376847", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Sal answers questions on August 26, 2011", "extra_properties": null, "node_slug": "v/answers-to-questions-from-the-independent", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NV4_Xra0g8E.mp4/NV4_Xra0g8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NV4_Xra0g8E.mp4/NV4_Xra0g8E.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NV4_Xra0g8E.m3u8/NV4_Xra0g8E.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NV4_Xra0g8E&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v215376847", "sha": "8dfb78e08c5023565db70ea250d4a53d23f07549", "translated_description": "Sal answers questions on August 26, 2011", "image_url": "https://img.youtube.com/vi/NV4_Xra0g8E/hqdefault.jpg", "youtube_id": "NV4_Xra0g8E", "content_kind": "Video", "readable_id": "answers-to-questions-from-the-independent"}, {"translated_youtube_id": "kMCP4njGAMw", "relative_url": "/video/answers-for-malibu-magazine", "has_questions": false, "keywords": "Answers, for, Malibu, Magazine", "ka_url": "http://www.khanacademy.org/video/answers-for-malibu-magazine", "duration": 1410, "translated_title": "Answers for Malibu Magazine", "translated_description_html": null, "id": "209609260", "description_html": null, "title": "Answers for Malibu Magazine", "progress_key": "v209609260", "edit_slug": "edit/v/209609260", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": null, "extra_properties": null, "node_slug": "v/answers-for-malibu-magazine", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-23T10:01:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kMCP4njGAMw.mp4/kMCP4njGAMw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kMCP4njGAMw.mp4/kMCP4njGAMw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kMCP4njGAMw.m3u8/kMCP4njGAMw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kMCP4njGAMw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209609260", "sha": "80c7314397ccedb2e10a4e4fff9745ede7fd7f47", "translated_description": null, "image_url": "https://img.youtube.com/vi/kMCP4njGAMw/hqdefault.jpg", "youtube_id": "kMCP4njGAMw", "content_kind": "Video", "readable_id": "answers-for-malibu-magazine"}, {"translated_youtube_id": "US9i6UpzDM8", "relative_url": "/video/ncsu-answers", "has_questions": false, "keywords": "NCSU, Answers", "ka_url": "http://www.khanacademy.org/video/ncsu-answers", "duration": 809, "translated_title": "NCSU Answers", "translated_description_html": "Answers for the NCSU newpaper", "id": "209609259", "description_html": "Answers for the NCSU newpaper", "title": "NCSU Answers", "progress_key": "v209609259", "edit_slug": "edit/v/209609259", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Answers for the NCSU newpaper", "extra_properties": null, "node_slug": "v/ncsu-answers", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/US9i6UpzDM8.mp4/US9i6UpzDM8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/US9i6UpzDM8.mp4/US9i6UpzDM8.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/US9i6UpzDM8.m3u8/US9i6UpzDM8.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=US9i6UpzDM8&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209609259", "sha": "08ceaed19a6a4495641c92c33a151a33aa435d36", "translated_description": "Answers for the NCSU newpaper", "image_url": "https://img.youtube.com/vi/US9i6UpzDM8/hqdefault.jpg", "youtube_id": "US9i6UpzDM8", "content_kind": "Video", "readable_id": "ncsu-answers"}, {"translated_youtube_id": "YGIw-H0AtwU", "relative_url": "/video/questions-from-superinteressante--8-22-2011", "has_questions": false, "keywords": "answers, questions", "ka_url": "http://www.khanacademy.org/video/questions-from-superinteressante--8-22-2011", "duration": 1296, "translated_title": "Questions from Superinteressante (8-22-2011)", "translated_description_html": "Answers for a magazine in Brazil", "id": "209609262", "description_html": "Answers for a magazine in Brazil", "title": "Questions from Superinteressante (8-22-2011)", "progress_key": "v209609262", "edit_slug": "edit/v/209609262", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Answers for a magazine in Brazil", "extra_properties": null, "node_slug": "v/questions-from-superinteressante--8-22-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-23T10:01:43Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YGIw-H0AtwU.mp4/YGIw-H0AtwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YGIw-H0AtwU.mp4/YGIw-H0AtwU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YGIw-H0AtwU.m3u8/YGIw-H0AtwU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YGIw-H0AtwU&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v209609262", "sha": "f7c7800a93b165cb0c816c1520db098e04c74ef5", "translated_description": "Answers for a magazine in Brazil", "image_url": "https://img.youtube.com/vi/YGIw-H0AtwU/hqdefault.jpg", "youtube_id": "YGIw-H0AtwU", "content_kind": "Video", "readable_id": "questions-from-superinteressante--8-22-2011"}, {"translated_youtube_id": "0MzIJfmSa5k", "relative_url": "/video/brainwave-sep-2011", "has_questions": false, "keywords": "Brainwave, Sep, 2011", "ka_url": "http://www.khanacademy.org/video/brainwave-sep-2011", "duration": 988, "translated_title": "Brainwave Sep 2011", "translated_description_html": "Sal answers questions for Brainwave Magazine", "id": "248597396", "description_html": "Sal answers questions for Brainwave Magazine", "title": "Brainwave Sep 2011", "progress_key": "v248597396", "edit_slug": "edit/v/248597396", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sal answers questions for Brainwave Magazine", "extra_properties": null, "node_slug": "v/brainwave-sep-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-15T10:01:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0MzIJfmSa5k.mp4/0MzIJfmSa5k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0MzIJfmSa5k.mp4/0MzIJfmSa5k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0MzIJfmSa5k.m3u8/0MzIJfmSa5k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0MzIJfmSa5k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v248597396", "sha": "7dfd0b417048f837e3648a74ea829443b0758b96", "translated_description": "Sal answers questions for Brainwave Magazine", "image_url": "https://img.youtube.com/vi/0MzIJfmSa5k/hqdefault.jpg", "youtube_id": "0MzIJfmSa5k", "content_kind": "Video", "readable_id": "brainwave-sep-2011"}, {"translated_youtube_id": "PGr1rqZ_3xo", "relative_url": "/video/center-for-future-of-museums", "has_questions": false, "keywords": "Center, for, Future, of, Museums", "ka_url": "http://www.khanacademy.org/video/center-for-future-of-museums", "duration": 1123, "translated_title": "Center for Future of Museums", "translated_description_html": "Sal answers questions for magazine (Sep 2011)", "id": "250660727", "description_html": "Sal answers questions for magazine (Sep 2011)", "title": "Center for Future of Museums", "progress_key": "v250660727", "edit_slug": "edit/v/250660727", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sal answers questions for magazine (Sep 2011)", "extra_properties": null, "node_slug": "v/center-for-future-of-museums", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-09-16T10:01:58Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/PGr1rqZ_3xo.mp4/PGr1rqZ_3xo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PGr1rqZ_3xo.mp4/PGr1rqZ_3xo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PGr1rqZ_3xo.m3u8/PGr1rqZ_3xo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=PGr1rqZ_3xo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v250660727", "sha": "d462c2b6fc101da8496a464ed89913953168a0ec", "translated_description": "Sal answers questions for magazine (Sep 2011)", "image_url": "https://img.youtube.com/vi/PGr1rqZ_3xo/hqdefault.jpg", "youtube_id": "PGr1rqZ_3xo", "content_kind": "Video", "readable_id": "center-for-future-of-museums"}, {"translated_youtube_id": "nxQ-5li9rbA", "relative_url": "/video/school-leadership-briefing-questions--sep-12-2011--2", "has_questions": false, "keywords": "School, Leadership, Briefing, Questions, Sep, 12, 2011, 2", "ka_url": "http://www.khanacademy.org/video/school-leadership-briefing-questions--sep-12-2011--2", "duration": 616, "translated_title": "School Leadership Briefing Questions (Sep 12 2011) 2", "translated_description_html": "More answers for School Leadership Briefing", "id": "248597398", "description_html": "More answers for School Leadership Briefing", "title": "School Leadership Briefing Questions (Sep 12 2011) 2", "progress_key": "v248597398", "edit_slug": "edit/v/248597398", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "More answers for School Leadership Briefing", "extra_properties": null, "node_slug": "v/school-leadership-briefing-questions--sep-12-2011--2", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-15T10:01:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/nxQ-5li9rbA.mp4/nxQ-5li9rbA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nxQ-5li9rbA.mp4/nxQ-5li9rbA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nxQ-5li9rbA.m3u8/nxQ-5li9rbA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=nxQ-5li9rbA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v248597398", "sha": "a6e0c02a9c4ef09c61fde2b0b510bef9bf95226c", "translated_description": "More answers for School Leadership Briefing", "image_url": "https://img.youtube.com/vi/nxQ-5li9rbA/hqdefault.jpg", "youtube_id": "nxQ-5li9rbA", "content_kind": "Video", "readable_id": "school-leadership-briefing-questions--sep-12-2011--2"}, {"translated_youtube_id": "epQlOmZ0Kzs", "relative_url": "/video/school-leadership-briefing--sep-12-2011", "has_questions": false, "keywords": "School, Leadership, Briefing, Sep, 12, 2011", "ka_url": "http://www.khanacademy.org/video/school-leadership-briefing--sep-12-2011", "duration": 675, "translated_title": "School Leadership Briefing (Sep 12 2011)", "translated_description_html": "Sal answers questions for School Leadership Briefing", "id": "248597397", "description_html": "Sal answers questions for School Leadership Briefing", "title": "School Leadership Briefing (Sep 12 2011)", "progress_key": "v248597397", "edit_slug": "edit/v/248597397", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sal answers questions for School Leadership Briefing", "extra_properties": null, "node_slug": "v/school-leadership-briefing--sep-12-2011", "deleted": false, "backup_timestamp": "2013-09-21T10:38:48Z", "date_added": "2011-09-15T10:01:48Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/epQlOmZ0Kzs.mp4/epQlOmZ0Kzs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/epQlOmZ0Kzs.mp4/epQlOmZ0Kzs.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/epQlOmZ0Kzs.m3u8/epQlOmZ0Kzs.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=epQlOmZ0Kzs&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v248597397", "sha": "c4bb1125966f253f576a927b9dca2143f774061f", "translated_description": "Sal answers questions for School Leadership Briefing", "image_url": "https://img.youtube.com/vi/epQlOmZ0Kzs/hqdefault.jpg", "youtube_id": "epQlOmZ0Kzs", "content_kind": "Video", "readable_id": "school-leadership-briefing--sep-12-2011"}, {"translated_youtube_id": "YtIHBa54ce0", "relative_url": "/video/tom-brokaw-interviews-sal-at-education-nation-2011", "has_questions": false, "keywords": "Education, Nation, 2011, Innovation, Spotlight, Sal, Khan2, trimmed", "ka_url": "http://www.khanacademy.org/video/tom-brokaw-interviews-sal-at-education-nation-2011", "duration": 729, "translated_title": "Tom Brokaw interviews Sal at Education Nation 2011", "translated_description_html": "Rough footage of Tom Brokaw interviewing Sal at Education Nation", "id": "287125059", "description_html": "Rough footage of Tom Brokaw interviewing Sal at Education Nation", "title": "Tom Brokaw interviews Sal at Education Nation 2011", "progress_key": "v287125059", "edit_slug": "edit/v/287125059", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rough footage of Tom Brokaw interviewing Sal at Education Nation", "extra_properties": null, "node_slug": "v/tom-brokaw-interviews-sal-at-education-nation-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-10-03T10:01:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/YtIHBa54ce0.mp4/YtIHBa54ce0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YtIHBa54ce0.mp4/YtIHBa54ce0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YtIHBa54ce0.m3u8/YtIHBa54ce0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=YtIHBa54ce0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v287125059", "sha": "5f9efc77262cb12bb9abe5ecb775a97bde452cef", "translated_description": "Rough footage of Tom Brokaw interviewing Sal at Education Nation", "image_url": "https://img.youtube.com/vi/YtIHBa54ce0/hqdefault.jpg", "youtube_id": "YtIHBa54ce0", "content_kind": "Video", "readable_id": "tom-brokaw-interviews-sal-at-education-nation-2011"}, {"translated_youtube_id": "1Hoo7MASKq0", "relative_url": "/video/financial-times-october-2011", "has_questions": false, "keywords": "Financial, Times, October, 2011", "ka_url": "http://www.khanacademy.org/video/financial-times-october-2011", "duration": 1095, "translated_title": "Financial Times October 2011", "translated_description_html": "Sal answers questions for the Financial Times", "id": "326408429", "description_html": "Sal answers questions for the Financial Times", "title": "Financial Times October 2011", "progress_key": "v326408429", "edit_slug": "edit/v/326408429", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal answers questions for the Financial Times", "extra_properties": null, "node_slug": "v/financial-times-october-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-10-21T10:01:44Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1Hoo7MASKq0.mp4/1Hoo7MASKq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1Hoo7MASKq0.mp4/1Hoo7MASKq0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1Hoo7MASKq0.m3u8/1Hoo7MASKq0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1Hoo7MASKq0&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v326408429", "sha": "48e421c760b45afab75409d31d935097f87ec289", "translated_description": "Sal answers questions for the Financial Times", "image_url": "https://img.youtube.com/vi/1Hoo7MASKq0/hqdefault.jpg", "youtube_id": "1Hoo7MASKq0", "content_kind": "Video", "readable_id": "financial-times-october-2011"}, {"translated_youtube_id": "2DVDI-HF4Eg", "relative_url": "/video/verbal-answers-to--ask-me-anything--on-reddit", "has_questions": false, "keywords": "Reddit, answers, 1, dec, 2011", "ka_url": "http://www.khanacademy.org/video/verbal-answers-to--ask-me-anything--on-reddit", "duration": 2238, "translated_title": "Verbal Answers to \"Ask Me Anything\" on Reddit", "translated_description_html": "Trying to give my fingers some rest by answering things verbally", "id": "467870005", "description_html": "Trying to give my fingers some rest by answering things verbally", "title": "Verbal Answers to \"Ask Me Anything\" on Reddit", "progress_key": "v467870005", "edit_slug": "edit/v/467870005", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Trying to give my fingers some rest by answering things verbally", "extra_properties": null, "node_slug": "v/verbal-answers-to--ask-me-anything--on-reddit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-12-29T11:00:52Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2DVDI-HF4Eg.mp4/2DVDI-HF4Eg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2DVDI-HF4Eg.mp4/2DVDI-HF4Eg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2DVDI-HF4Eg.m3u8/2DVDI-HF4Eg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2DVDI-HF4Eg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v467870005", "sha": "dc0489612859f36bf864ed115dd6d9733e31a79e", "translated_description": "Trying to give my fingers some rest by answering things verbally", "image_url": "https://img.youtube.com/vi/2DVDI-HF4Eg/hqdefault.jpg", "youtube_id": "2DVDI-HF4Eg", "content_kind": "Video", "readable_id": "verbal-answers-to--ask-me-anything--on-reddit"}, {"translated_youtube_id": "-1zR6pFof5c", "relative_url": "/video/khan-academy-in-idaho", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-academy-in-idaho", "duration": 175, "translated_title": "Khan Academy in Idaho", "translated_description_html": "A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5.", "id": "1104318503", "description_html": "A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5.", "title": "Khan Academy in Idaho", "progress_key": "v1104318503", "edit_slug": "edit/v/1104318503", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5.", "extra_properties": null, "node_slug": "v/khan-academy-in-idaho", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-10-24T18:31:08Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/-1zR6pFof5c.mp4/-1zR6pFof5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-1zR6pFof5c.mp4/-1zR6pFof5c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-1zR6pFof5c.m3u8/-1zR6pFof5c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=-1zR6pFof5c&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1104318503", "sha": "bb07cd174e078c3212d11e2f72b59462b12571e4", "translated_description": "A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5.", "image_url": "https://img.youtube.com/vi/-1zR6pFof5c/hqdefault.jpg", "youtube_id": "-1zR6pFof5c", "content_kind": "Video", "readable_id": "khan-academy-in-idaho"}, {"translated_youtube_id": "9BUDq62Ghic", "relative_url": "/video/the-language-advocates", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-language-advocates", "duration": 212, "translated_title": "The language advocates", "translated_description_html": "", "id": "1049279550", "description_html": "", "title": "The language advocates", "progress_key": "v1049279550", "edit_slug": "edit/v/1049279550", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": null, "node_slug": "v/the-language-advocates", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2012-09-22T00:04:25Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.mp4/9BUDq62Ghic.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.mp4/9BUDq62Ghic.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9BUDq62Ghic.m3u8/9BUDq62Ghic.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9BUDq62Ghic&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1049279550", "sha": "4eacac16b65b15f90c6bbd2da6eed19b8bb8732e", "translated_description": "", "image_url": "https://img.youtube.com/vi/9BUDq62Ghic/hqdefault.jpg", "youtube_id": "9BUDq62Ghic", "content_kind": "Video", "readable_id": "the-language-advocates"}, {"translated_youtube_id": "UNsf1X5I_n0", "relative_url": "/video/interview-with-jessica-yuen", "has_questions": false, "keywords": "khan, academy, UCSD, stanford, mckinsey, yahoo, career", "ka_url": "http://www.khanacademy.org/video/interview-with-jessica-yuen", "duration": 537, "translated_title": "Jessica Yuen", "translated_description_html": "Interview with Khan Academy Chief of Staff Jessica Yuen", "id": "894693039", "description_html": "Interview with Khan Academy Chief of Staff Jessica Yuen", "title": "Jessica Yuen", "progress_key": "v894693039", "edit_slug": "edit/v/894693039", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Interview with Khan Academy Chief of Staff Jessica Yuen", "extra_properties": {"original_url": ""}, "node_slug": "v/interview-with-jessica-yuen", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-07-10T06:21:28Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/UNsf1X5I_n0.mp4/UNsf1X5I_n0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UNsf1X5I_n0.mp4/UNsf1X5I_n0.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UNsf1X5I_n0.m3u8/UNsf1X5I_n0.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=UNsf1X5I_n0&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v894693039", "sha": "89ee4b75083037872dedea07473f5f6ff4f594c4", "translated_description": "Interview with Khan Academy Chief of Staff Jessica Yuen", "image_url": "https://img.youtube.com/vi/UNsf1X5I_n0/hqdefault.jpg", "youtube_id": "UNsf1X5I_n0", "content_kind": "Video", "readable_id": "interview-with-jessica-yuen"}, {"translated_youtube_id": "LeeqlXUHNuU", "relative_url": "/video/marcos-ojeda", "has_questions": false, "keywords": "IMG, 0952", "ka_url": "http://www.khanacademy.org/video/marcos-ojeda", "duration": 606, "translated_title": "Marcos Ojeda", "translated_description_html": "Sal talks to Marcos about what he has been working on and why he joined the Khan Academy", "id": "613922424", "description_html": "Sal talks to Marcos about what he has been working on and why he joined the Khan Academy", "title": "Marcos Ojeda", "progress_key": "v613922424", "edit_slug": "edit/v/613922424", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Sal talks to Marcos about what he has been working on and why he joined the Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/marcos-ojeda", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-29T20:40:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/LeeqlXUHNuU.mp4/LeeqlXUHNuU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LeeqlXUHNuU.mp4/LeeqlXUHNuU.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LeeqlXUHNuU.m3u8/LeeqlXUHNuU.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=LeeqlXUHNuU&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v613922424", "sha": "d998cb6fda9205b9e3aab8ca8d0d85dc9c75c705", "translated_description": "Sal talks to Marcos about what he has been working on and why he joined the Khan Academy", "image_url": "https://img.youtube.com/vi/LeeqlXUHNuU/hqdefault.jpg", "youtube_id": "LeeqlXUHNuU", "content_kind": "Video", "readable_id": "marcos-ojeda"}, {"translated_youtube_id": "RTtHES2VY1c", "relative_url": "/video/elizabeth-slavitt", "has_questions": false, "keywords": "IMG, 0951", "ka_url": "http://www.khanacademy.org/video/elizabeth-slavitt", "duration": 508, "translated_title": "Elizabeth Slavitt", "translated_description_html": "Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here.", "id": "613894548", "description_html": "Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here.", "title": "Elizabeth Slavitt", "progress_key": "v613894548", "edit_slug": "edit/v/613894548", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here.", "extra_properties": {"original_url": ""}, "node_slug": "v/elizabeth-slavitt", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-02-29T20:39:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RTtHES2VY1c.mp4/RTtHES2VY1c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RTtHES2VY1c.mp4/RTtHES2VY1c.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RTtHES2VY1c.m3u8/RTtHES2VY1c.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RTtHES2VY1c&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v613894548", "sha": "a355741c57f4cdb11a661aa388938e964f35c8aa", "translated_description": "Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here.", "image_url": "https://img.youtube.com/vi/RTtHES2VY1c/hqdefault.jpg", "youtube_id": "RTtHES2VY1c", "content_kind": "Video", "readable_id": "elizabeth-slavitt"}, {"translated_youtube_id": "2onEj_Y9JHc", "relative_url": "/video/minli-virdone", "has_questions": false, "keywords": "IMG, 0960", "ka_url": "http://www.khanacademy.org/video/minli-virdone", "duration": 538, "translated_title": "Minli Virdone", "translated_description_html": "Informal conversation with Minli (I know. I need a tripod)", "id": "843930091", "description_html": "Informal conversation with Minli (I know. I need a tripod)", "title": "Minli Virdone", "progress_key": "v843930091", "edit_slug": "edit/v/843930091", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Informal conversation with Minli (I know. I need a tripod)", "extra_properties": {"original_url": ""}, "node_slug": "v/minli-virdone", "deleted": false, "backup_timestamp": "2013-09-21T10:38:48Z", "date_added": "2012-06-13T22:06:00Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2onEj_Y9JHc.mp4/2onEj_Y9JHc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2onEj_Y9JHc.mp4/2onEj_Y9JHc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2onEj_Y9JHc.m3u8/2onEj_Y9JHc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2onEj_Y9JHc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v843930091", "sha": "0a841ecb71c859facf764512be001fe8f15fa765", "translated_description": "Informal conversation with Minli (I know. I need a tripod)", "image_url": "https://img.youtube.com/vi/2onEj_Y9JHc/hqdefault.jpg", "youtube_id": "2onEj_Y9JHc", "content_kind": "Video", "readable_id": "minli-virdone"}, {"translated_youtube_id": "AkSGR_oj0rg", "relative_url": "/video/ideal-math-and-science-class-time", "has_questions": false, "keywords": "constructivist, class, math, science", "ka_url": "http://www.khanacademy.org/video/ideal-math-and-science-class-time", "duration": 216, "translated_title": "Ideal Math and Science Class Time", "translated_description_html": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "id": "120336351", "description_html": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "title": "Ideal Math and Science Class Time", "progress_key": "v120336351", "edit_slug": "edit/v/120336351", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "extra_properties": {"original_url": ""}, "node_slug": "v/ideal-math-and-science-class-time", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-06-17T23:27:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.mp4/AkSGR_oj0rg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.mp4/AkSGR_oj0rg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AkSGR_oj0rg.m3u8/AkSGR_oj0rg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=AkSGR_oj0rg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v120336351", "sha": "4e95f6d1a63a9f2d265c365c8f7f202176fcb4c7", "translated_description": "A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less class time is devoted to traditional lecturing", "image_url": "https://img.youtube.com/vi/AkSGR_oj0rg/hqdefault.jpg", "youtube_id": "AkSGR_oj0rg", "content_kind": "Video", "readable_id": "ideal-math-and-science-class-time"}, {"translated_youtube_id": "fJFKE8kyz7w", "relative_url": "/video/salman-khan-on-charlie-rose", "has_questions": false, "keywords": "khan, academy, education", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-charlie-rose", "duration": 1271, "translated_title": "Salman Khan on Charlie Rose", "translated_description_html": "Salman Khan on Charlie Rose on May 4, 2011", "id": "79021095", "description_html": "Salman Khan on Charlie Rose on May 4, 2011", "title": "Salman Khan on Charlie Rose", "progress_key": "v79021095", "edit_slug": "edit/v/79021095", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Salman Khan on Charlie Rose on May 4, 2011", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-on-charlie-rose", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-05-05T23:26:02Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fJFKE8kyz7w.mp4/fJFKE8kyz7w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fJFKE8kyz7w.mp4/fJFKE8kyz7w.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fJFKE8kyz7w.m3u8/fJFKE8kyz7w.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fJFKE8kyz7w&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v79021095", "sha": "bbab930dce6a954254e8bc4e8013544b1afd2496", "translated_description": "Salman Khan on Charlie Rose on May 4, 2011", "image_url": "https://img.youtube.com/vi/fJFKE8kyz7w/hqdefault.jpg", "youtube_id": "fJFKE8kyz7w", "content_kind": "Video", "readable_id": "salman-khan-on-charlie-rose"}, {"translated_youtube_id": "0OtQY-gDuJA", "relative_url": "/video/nightline-learn-everything-online", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/nightline-learn-everything-online", "duration": 300, "translated_title": "Nightline: Learn Everything, Online", "translated_description_html": "Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives.", "id": "1304182161", "description_html": "Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives.", "title": "Nightline: Learn Everything, Online", "progress_key": "v1304182161", "edit_slug": "edit/v/1304182161", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives.", "extra_properties": {"original_url": ""}, "node_slug": "v/nightline-learn-everything-online", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-01-19T01:55:40Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0OtQY-gDuJA.mp4/0OtQY-gDuJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0OtQY-gDuJA.mp4/0OtQY-gDuJA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0OtQY-gDuJA.m3u8/0OtQY-gDuJA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0OtQY-gDuJA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1304182161", "sha": "2eb840287b41b72b343696ad295f0f7a506059e8", "translated_description": "Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives.", "image_url": "https://img.youtube.com/vi/0OtQY-gDuJA/hqdefault.jpg", "youtube_id": "0OtQY-gDuJA", "content_kind": "Video", "readable_id": "nightline-learn-everything-online"}, {"translated_youtube_id": "4jXv03sktik", "relative_url": "/video/khan-academy-on-pbs-newshour--edited", "has_questions": false, "keywords": "math, youtube, education, newshour, khan, salman", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-pbs-newshour--edited", "duration": 156, "translated_title": "Khan Academy on PBS NewsHour (Edited)", "translated_description_html": "Khan Academy on PBS NewsHour (Edited)", "id": "2581077", "description_html": "Khan Academy on PBS NewsHour (Edited)", "title": "Khan Academy on PBS NewsHour (Edited)", "progress_key": "v2581077", "edit_slug": "edit/v/2581077", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Khan Academy on PBS NewsHour (Edited)", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-on-pbs-newshour--edited", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4jXv03sktik.mp4/4jXv03sktik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4jXv03sktik.mp4/4jXv03sktik.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4jXv03sktik.m3u8/4jXv03sktik.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4jXv03sktik&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v2581077", "sha": "77f9142a8efe729fda54470026a82a6a6ee13268", "translated_description": "Khan Academy on PBS NewsHour (Edited)", "image_url": "https://img.youtube.com/vi/4jXv03sktik/hqdefault.jpg", "youtube_id": "4jXv03sktik", "content_kind": "Video", "readable_id": "khan-academy-on-pbs-newshour--edited"}, {"translated_youtube_id": "T4dk6woz4Do", "relative_url": "/video/khan-academy-on-nightly-news", "has_questions": false, "keywords": "Khan, Academy, news", "ka_url": "http://www.khanacademy.org/video/khan-academy-on-nightly-news", "duration": 152, "translated_title": "Khan Academy on Nightly News", "translated_description_html": "Khan Academy on the NBC Nightly News with Brian Williams", "id": "33759735", "description_html": "Khan Academy on the NBC Nightly News with Brian Williams", "title": "Khan Academy on Nightly News", "progress_key": "v33759735", "edit_slug": "edit/v/33759735", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Khan Academy on the NBC Nightly News with Brian Williams", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-on-nightly-news", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2011-03-16T18:28:13Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/T4dk6woz4Do.mp4/T4dk6woz4Do.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T4dk6woz4Do.mp4/T4dk6woz4Do.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/T4dk6woz4Do.m3u8/T4dk6woz4Do.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=T4dk6woz4Do&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v33759735", "sha": "70130fce6ab546354e84489b2aff9862e56c84bf", "translated_description": "Khan Academy on the NBC Nightly News with Brian Williams", "image_url": "https://img.youtube.com/vi/T4dk6woz4Do/hqdefault.jpg", "youtube_id": "T4dk6woz4Do", "content_kind": "Video", "readable_id": "khan-academy-on-nightly-news"}, {"translated_youtube_id": "2sTkub_aYt4", "relative_url": "/video/early-show", "has_questions": false, "keywords": "education", "ka_url": "http://www.khanacademy.org/video/early-show", "duration": 208, "translated_title": "Early Show", "translated_description_html": "Khan Academy profiled on the Early Show", "id": "231149513", "description_html": "Khan Academy profiled on the Early Show", "title": "Early Show", "progress_key": "v231149513", "edit_slug": "edit/v/231149513", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Khan Academy profiled on the Early Show", "extra_properties": {"original_url": ""}, "node_slug": "v/early-show", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-09-06T10:01:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2sTkub_aYt4.mp4/2sTkub_aYt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2sTkub_aYt4.mp4/2sTkub_aYt4.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2sTkub_aYt4.m3u8/2sTkub_aYt4.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2sTkub_aYt4&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v231149513", "sha": "28d94a1f8d0af3a0958a0b19c9d47d661e467802", "translated_description": "Khan Academy profiled on the Early Show", "image_url": "https://img.youtube.com/vi/2sTkub_aYt4/hqdefault.jpg", "youtube_id": "2sTkub_aYt4", "content_kind": "Video", "readable_id": "early-show"}, {"translated_youtube_id": "RXeDxJfrqdw", "relative_url": "/video/sal-on-abc-news", "has_questions": false, "keywords": "khan, academy, salman", "ka_url": "http://www.khanacademy.org/video/sal-on-abc-news", "duration": 151, "translated_title": "Sal on ABC News", "translated_description_html": "Salman Khan on ABC News Person of the Week", "id": "8187408", "description_html": "Salman Khan on ABC News Person of the Week", "title": "Sal on ABC News", "progress_key": "v8187408", "edit_slug": "edit/v/8187408", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Salman Khan on ABC News Person of the Week", "extra_properties": {"original_url": ""}, "node_slug": "v/sal-on-abc-news", "deleted": false, "backup_timestamp": "2013-09-22T10:35:42Z", "date_added": "2011-02-20T16:45:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RXeDxJfrqdw.mp4/RXeDxJfrqdw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RXeDxJfrqdw.mp4/RXeDxJfrqdw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RXeDxJfrqdw.m3u8/RXeDxJfrqdw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RXeDxJfrqdw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v8187408", "sha": "a4f4b3f0f3ef1292c2a69d6af3467d6e63327329", "translated_description": "Salman Khan on ABC News Person of the Week", "image_url": "https://img.youtube.com/vi/RXeDxJfrqdw/hqdefault.jpg", "youtube_id": "RXeDxJfrqdw", "content_kind": "Video", "readable_id": "sal-on-abc-news"}, {"translated_youtube_id": "QGxgAHer3Ow", "relative_url": "/video/cnn---google-award-to-khan-academy", "has_questions": false, "keywords": "cnn, google, khan, salman", "ka_url": "http://www.khanacademy.org/video/cnn---google-award-to-khan-academy", "duration": 306, "translated_title": "CNN: Google award to Khan Academy", "translated_description_html": "CNN: Salman Khan talks about Google award to Khan Academy", "id": "6022686", "description_html": "CNN: Salman Khan talks about Google award to Khan Academy", "title": "CNN: Google award to Khan Academy", "progress_key": "v6022686", "edit_slug": "edit/v/6022686", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "CNN: Salman Khan talks about Google award to Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/cnn---google-award-to-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-02-20T16:45:49Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/QGxgAHer3Ow.mp4/QGxgAHer3Ow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QGxgAHer3Ow.mp4/QGxgAHer3Ow.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QGxgAHer3Ow.m3u8/QGxgAHer3Ow.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=QGxgAHer3Ow&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v6022686", "sha": "ea1293ecc8cc79631793cf11410a77663014d7dc", "translated_description": "CNN: Salman Khan talks about Google award to Khan Academy", "image_url": "https://img.youtube.com/vi/QGxgAHer3Ow/hqdefault.jpg", "youtube_id": "QGxgAHer3Ow", "content_kind": "Video", "readable_id": "cnn---google-award-to-khan-academy"}, {"translated_youtube_id": "EUQCACf2EzA", "relative_url": "/video/videocast-with-sal-khan--effectively-using-khan-academy", "has_questions": false, "keywords": "Sal Khan, Videocast, Khan Academy, digital learning, technology, classroom, Salman Khan", "ka_url": "http://www.khanacademy.org/video/videocast-with-sal-khan--effectively-using-khan-academy", "duration": 2182, "translated_title": "Videocast with Sal Khan: Effectively Using Khan Academy", "translated_description_html": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "id": "775653951", "description_html": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "title": "Videocast with Sal Khan: Effectively Using Khan Academy", "progress_key": "v775653951", "edit_slug": "edit/v/775653951", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "extra_properties": {"original_url": ""}, "node_slug": "v/videocast-with-sal-khan--effectively-using-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-05-10T00:34:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.mp4/EUQCACf2EzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.mp4/EUQCACf2EzA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/EUQCACf2EzA.m3u8/EUQCACf2EzA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=EUQCACf2EzA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v775653951", "sha": "a707498152871e5dd8659e21851983dad7d9b172", "translated_description": "Watch an insider's tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho's classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour", "image_url": "https://img.youtube.com/vi/EUQCACf2EzA/hqdefault.jpg", "youtube_id": "EUQCACf2EzA", "content_kind": "Video", "readable_id": "videocast-with-sal-khan--effectively-using-khan-academy"}, {"translated_youtube_id": "RcLy8Cyxw2k", "relative_url": "/video/overview-of-khanacademy-org", "has_questions": false, "keywords": "KA, Walkthrough, 2012", "ka_url": "http://www.khanacademy.org/video/overview-of-khanacademy-org", "duration": 326, "translated_title": "Overview of KhanAcademy.org", "translated_description_html": "An overview of the different ways to use Khan Academy", "id": "1013985489", "description_html": "An overview of the different ways to use Khan Academy", "title": "Overview of KhanAcademy.org", "progress_key": "v1013985489", "edit_slug": "edit/v/1013985489", "author_names": ["Sal Khan"], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "An overview of the different ways to use Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/overview-of-khanacademy-org", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-31T01:17:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.mp4/RcLy8Cyxw2k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.mp4/RcLy8Cyxw2k.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RcLy8Cyxw2k.m3u8/RcLy8Cyxw2k.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RcLy8Cyxw2k&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "v1013985489", "sha": "3a72ca4c0b7e5574f21bfb9b3a85185b83faf30b", "translated_description": "An overview of the different ways to use Khan Academy", "image_url": "https://img.youtube.com/vi/RcLy8Cyxw2k/hqdefault.jpg", "youtube_id": "RcLy8Cyxw2k", "content_kind": "Video", "readable_id": "overview-of-khanacademy-org"}, {"translated_youtube_id": "fzCnQwyoU5A", "relative_url": "/video/salman-khan-on-oregon-public-broadcasting", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/salman-khan-on-oregon-public-broadcasting", "duration": 1244, "translated_title": "Salman Khan on Oregon Public Broadcasting", "translated_description_html": "Rob Manning's interview with Khan Academy's Salman Khan before an appearance at Concordia University on Feb 5, 2013.", "id": "xf42d65d8", "description_html": "Rob Manning's interview with Khan Academy's Salman Khan before an appearance at Concordia University on Feb 5, 2013.", "title": "Salman Khan on Oregon Public Broadcasting", "progress_key": "vxf42d65d8", "edit_slug": "edit/v/xf42d65d8", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Rob Manning's interview with Khan Academy's Salman Khan before an appearance at Concordia University on Feb 5, 2013.", "extra_properties": {"original_url": ""}, "node_slug": "v/salman-khan-on-oregon-public-broadcasting", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-05-30T18:28:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/fzCnQwyoU5A.mp4/fzCnQwyoU5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fzCnQwyoU5A.mp4/fzCnQwyoU5A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fzCnQwyoU5A.m3u8/fzCnQwyoU5A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=fzCnQwyoU5A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxf42d65d8", "sha": "095b48852c2ec4ace41686c4d4b0911386a0c257", "translated_description": "Rob Manning's interview with Khan Academy's Salman Khan before an appearance at Concordia University on Feb 5, 2013.", "image_url": "https://img.youtube.com/vi/fzCnQwyoU5A/hqdefault.jpg", "youtube_id": "fzCnQwyoU5A", "content_kind": "Video", "readable_id": "salman-khan-on-oregon-public-broadcasting"}, {"translated_youtube_id": "jQQjbq0gMmE", "relative_url": "/video/the-learning-dashboard", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-learning-dashboard", "duration": 497, "translated_title": "The Learning Dashboard", "translated_description_html": "", "id": "x71c07125", "description_html": "", "title": "The Learning Dashboard", "progress_key": "vx71c07125", "edit_slug": "edit/v/x71c07125", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/the-learning-dashboard", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-15T22:29:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.mp4/jQQjbq0gMmE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.mp4/jQQjbq0gMmE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.m3u8/jQQjbq0gMmE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQQjbq0gMmE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx71c07125", "sha": "be6f13920e2c08391f3781667a0d86f66a80a8a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/jQQjbq0gMmE/hqdefault.jpg", "youtube_id": "jQQjbq0gMmE", "content_kind": "Video", "readable_id": "the-learning-dashboard"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "other-features", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-15T22:39:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax39b8b564", "topic_page_url": "/talks-and-interviews/other-features", "extended_slug": "talks-and-interviews/other-features", "slug": "other-features", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "3fd6b82b6794ce883ec56e8cb5e0d9a967c2494e", "standalone_title": "Other features", "y_pos": 0.0, "current_revision_key": "3fd6b82b6794ce883ec56e8cb5e0d9a967c2494e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks.", "x_pos": 0.0, "node_slug": "talks-and-interviews", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:52:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd1039e22", "topic_page_url": "/talks-and-interviews", "extended_slug": "talks-and-interviews", "slug": "talks-and-interviews", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "abf966113b80b84af86acb9e2567a1bb1a1b05ef", "standalone_title": "Khan Academy-related talks and interviews", "y_pos": 0.0, "current_revision_key": "abf966113b80b84af86acb9e2567a1bb1a1b05ef", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res", "translated_standalone_title": "Coach resources", "translated_title": "Coach resources", "gplus_url": "", "id": "x6a4a5e33", "old_key_name": "IoruU3NauWChiNme5kSixsflmEXXTV9iDXWqrzxr", "hide": false, "title": "Coach resources", "child_data": [{"kind": "Topic", "id": "xfd2165b7"}, {"kind": "Topic", "id": "xc990f6cd"}, {"kind": "Topic", "id": "x1c359f96"}, {"kind": "Topic", "id": "xea0d9938"}, {"kind": "Topic", "id": "x6e277157"}, {"kind": "Topic", "id": "x252219a7"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/KA-in-the-classroom", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/KA-in-the-classroom", "translated_standalone_title": "Why Khan Academy?", "translated_title": "Why Khan Academy?", "gplus_url": "", "id": "xfd2165b7", "old_key_name": "TE5dCww30n5cH8bOBPDyboEg5pk8I4_SPyOyBy4g", "hide": false, "title": "Why Khan Academy?", "child_data": [{"kind": "Topic", "id": "x7982c321"}, {"kind": "Topic", "id": "x064ac492"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/KA-in-the-classroom/classroom-vision", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/KA-in-the-classroom/classroom-vision", "translated_standalone_title": "Vision for the classroom", "translated_title": "Vision for the classroom", "gplus_url": "", "id": "x7982c321", "old_key_name": "M4is5SmFhebm6j4cqoEC2POBUxVpzwn1wOrxn6H3", "hide": false, "title": "Vision for the classroom", "child_data": [{"kind": "Article", "id": "xbb6f9794"}, {"kind": "Video", "id": "xefe408ff"}, {"kind": "Video", "id": 986122252}, {"kind": "Article", "id": "x312fc03d"}, {"kind": "Article", "id": "x50100d89"}], "children": [{"translated_youtube_id": "1SseqbIzXjg", "relative_url": "/video/why-use-ka", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/why-use-ka", "duration": 278, "translated_title": "Why I use Khan Academy - an educator's perspective", "translated_description_html": "

Hear directly from teachers about why they use Khan Academy<\/p>\n", "id": "xefe408ff", "description_html": "

Hear directly from teachers about why they use Khan Academy<\/p>\n", "title": "Why I use Khan Academy - an educator's perspective", "progress_key": "vxefe408ff", "edit_slug": "edit/v/xefe408ff", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Hear directly from teachers about why they use Khan Academy\n", "extra_properties": {"original_url": ""}, "node_slug": "v/why-use-ka", "deleted": false, "backup_timestamp": "2013-09-20T10:49:45Z", "date_added": "2013-03-29T00:36:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/1SseqbIzXjg.mp4/1SseqbIzXjg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1SseqbIzXjg.mp4/1SseqbIzXjg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1SseqbIzXjg.m3u8/1SseqbIzXjg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=1SseqbIzXjg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxefe408ff", "sha": "38d21772f43734f44b47e5f89bf9048af18a6bdf", "translated_description": "Hear directly from teachers about why they use Khan Academy\n", "image_url": "https://img.youtube.com/vi/1SseqbIzXjg/hqdefault.jpg", "youtube_id": "1SseqbIzXjg", "content_kind": "Video", "readable_id": "why-use-ka"}, {"translated_youtube_id": "a6kwIBI3j98", "relative_url": "/video/khan-academy-vision", "has_questions": false, "keywords": "Khan, Academy, vision, blended, learning", "ka_url": "http://www.khanacademy.org/video/khan-academy-vision", "duration": 454, "translated_title": "Khan Academy Vision", "translated_description_html": "

Overview of what we hope Khan Academy can help catalyze.<\/p>\n", "id": "986122252", "description_html": "

Overview of what we hope Khan Academy can help catalyze.<\/p>\n", "title": "Khan Academy Vision", "progress_key": "v986122252", "edit_slug": "edit/v/986122252", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Overview of what we hope Khan Academy can help catalyze.\n", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-vision", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-08-21T22:08:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.mp4/a6kwIBI3j98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.mp4/a6kwIBI3j98.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a6kwIBI3j98.m3u8/a6kwIBI3j98.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=a6kwIBI3j98&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v986122252", "sha": "a8e37f58cf4a86fbbe5746b33aa49b9261fba515", "translated_description": "Overview of what we hope Khan Academy can help catalyze.\n", "image_url": "https://img.youtube.com/vi/a6kwIBI3j98/hqdefault.jpg", "youtube_id": "a6kwIBI3j98", "content_kind": "Video", "readable_id": "khan-academy-vision"}], "twitter_url": "", "translated_description": "Learn about our vision to enable personalized, mastery-based, interactive experiences in your classroom through Khan Academy's rich data and content. Also, hear directly from teachers about why they use KA.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn about our vision to enable personalized, mastery-based, interactive experiences in your classroom through Khan Academy's rich data and content. Also, hear directly from teachers about why they use KA.", "x_pos": 0.0, "node_slug": "classroom-vision", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7982c321", "topic_page_url": "/coach-res/KA-in-the-classroom/classroom-vision", "extended_slug": "coach-res/KA-in-the-classroom/classroom-vision", "slug": "classroom-vision", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a35599a7ccdaadf220a9bedf5eaa4c36c6c2a819", "standalone_title": "Vision for the classroom", "y_pos": 0.0, "current_revision_key": "a35599a7ccdaadf220a9bedf5eaa4c36c6c2a819", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/KA-in-the-classroom/what-is-a-ka-classroom", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/KA-in-the-classroom/what-is-a-ka-classroom", "translated_standalone_title": "What is a Khan Academy classroom?", "translated_title": "What is a Khan Academy classroom?", "gplus_url": "", "id": "x064ac492", "old_key_name": "Wq6csJ_pPF05xpnsZGXsxY_XpgRXzal1L4giNrQd", "hide": false, "title": "What is a Khan Academy classroom?", "child_data": [{"kind": "Article", "id": "x3272ff4d"}, {"kind": "Article", "id": "x75b16da7"}, {"kind": "Article", "id": "x9c0adedb"}, {"kind": "Article", "id": "x5bea0ccc"}], "children": [], "twitter_url": "", "translated_description": "Discover the core components of a Khan Academy classroom.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Discover the core components of a Khan Academy classroom.", "x_pos": 0.0, "node_slug": "what-is-a-ka-classroom", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-27T20:51:16Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax064ac492", "topic_page_url": "/coach-res/KA-in-the-classroom/what-is-a-ka-classroom", "extended_slug": "coach-res/KA-in-the-classroom/what-is-a-ka-classroom", "slug": "what-is-a-ka-classroom", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "97bf7286f9bb6c6219694dd5d031013e03acda8e", "standalone_title": "What is a Khan Academy classroom?", "y_pos": 0.0, "current_revision_key": "97bf7286f9bb6c6219694dd5d031013e03acda8e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Why do hundreds of thousands of parents, teachers, faculty, and other educators use Khan Academy? Learn more about what is and how it's being used.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Why do hundreds of thousands of parents, teachers, faculty, and other educators use Khan Academy? Learn more about what is and how it's being used.", "x_pos": 0.0, "node_slug": "KA-in-the-classroom", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axfd2165b7", "topic_page_url": "/coach-res/KA-in-the-classroom", "extended_slug": "coach-res/KA-in-the-classroom", "slug": "KA-in-the-classroom", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "02f0804f4a6cf8a44292b4e9d9da15b46365be5f", "standalone_title": "Why Khan Academy?", "y_pos": 0.0, "current_revision_key": "02f0804f4a6cf8a44292b4e9d9da15b46365be5f", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach", "translated_standalone_title": "Become a Khan Academy coach", "translated_title": "Become a Khan Academy coach", "gplus_url": "", "id": "xc990f6cd", "old_key_name": null, "hide": false, "title": "Become a Khan Academy coach", "child_data": [{"kind": "Topic", "id": "x0a3de25f"}, {"kind": "Topic", "id": "x1867a272"}, {"kind": "Topic", "id": "x049151d8"}, {"kind": "Topic", "id": "xd41e397d"}, {"kind": "Topic", "id": "xe0bc804b"}, {"kind": "Topic", "id": "xdc06cb14"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/site-tour", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/site-tour", "translated_standalone_title": "Take a tour of KA", "translated_title": "Take a tour of KA", "gplus_url": "", "id": "x0a3de25f", "old_key_name": "mw-hJp-i0L86GKbhjss68Pmh9sUk-MtKVHYgpvr0", "hide": false, "title": "Take a tour of KA", "child_data": [{"kind": "Video", "id": "xf3c7c8ed"}, {"kind": "Video", "id": "x71c07125"}, {"kind": "Video", "id": "x173dc952"}, {"kind": "Article", "id": "x50c412b4"}], "children": [{"translated_youtube_id": "Bd5X7Kz_Bpg", "relative_url": "/video/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "duration": 582, "translated_title": "A tour of the Khan Academy site for coaches", "translated_description_html": "


<\/p>", "id": "xf3c7c8ed", "description_html": "


<\/p>", "title": "A tour of the Khan Academy site for coaches", "progress_key": "vxf3c7c8ed", "edit_slug": "edit/v/xf3c7c8ed", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "deleted": false, "backup_timestamp": "2013-09-20T10:49:46Z", "date_added": "2013-08-14T07:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.mp4/Bd5X7Kz_Bpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.mp4/Bd5X7Kz_Bpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.m3u8/Bd5X7Kz_Bpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bd5X7Kz_Bpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf3c7c8ed", "sha": "24c2800a0734f3c3c055f0d4664f805eec269d98", "translated_description": "", "image_url": "https://img.youtube.com/vi/Bd5X7Kz_Bpg/hqdefault.jpg", "youtube_id": "Bd5X7Kz_Bpg", "content_kind": "Video", "readable_id": "a-tour-of-the-khan-academy-site-for-coaches--august-2013"}, {"translated_youtube_id": "jQQjbq0gMmE", "relative_url": "/video/the-learning-dashboard", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/the-learning-dashboard", "duration": 497, "translated_title": "The Learning Dashboard", "translated_description_html": "", "id": "x71c07125", "description_html": "", "title": "The Learning Dashboard", "progress_key": "vx71c07125", "edit_slug": "edit/v/x71c07125", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/the-learning-dashboard", "deleted": false, "backup_timestamp": "2013-09-22T10:35:41Z", "date_added": "2013-08-15T22:29:42Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.mp4/jQQjbq0gMmE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.mp4/jQQjbq0gMmE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jQQjbq0gMmE.m3u8/jQQjbq0gMmE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=jQQjbq0gMmE&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx71c07125", "sha": "be6f13920e2c08391f3781667a0d86f66a80a8a9", "translated_description": "", "image_url": "https://img.youtube.com/vi/jQQjbq0gMmE/hqdefault.jpg", "youtube_id": "jQQjbq0gMmE", "content_kind": "Video", "readable_id": "the-learning-dashboard"}, {"translated_youtube_id": "0opxOoq0Q4s", "relative_url": "/video/cs-in-the-classroom", "has_questions": false, "keywords": "cs, computer science, projects, applied learning", "ka_url": "http://www.khanacademy.org/video/cs-in-the-classroom", "duration": 309, "translated_title": "Khan Academy computer science in the classroom", "translated_description_html": "", "id": "x173dc952", "description_html": "", "title": "Khan Academy computer science in the classroom", "progress_key": "vx173dc952", "edit_slug": "edit/v/x173dc952", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/cs-in-the-classroom", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-08-16T04:42:15Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/0opxOoq0Q4s.mp4/0opxOoq0Q4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0opxOoq0Q4s.mp4/0opxOoq0Q4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0opxOoq0Q4s.m3u8/0opxOoq0Q4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=0opxOoq0Q4s&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx173dc952", "sha": "a112dfbf8a915986f731e3383e10dd2171c93010", "translated_description": "", "image_url": "https://img.youtube.com/vi/0opxOoq0Q4s/hqdefault.jpg", "youtube_id": "0opxOoq0Q4s", "content_kind": "Video", "readable_id": "cs-in-the-classroom"}], "twitter_url": "", "translated_description": "Overview of the overall site, data reports, exercises, and Computer Science resources available on Khan Academy, with emphasis on how resources can be used in classrooms.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Overview of the overall site, data reports, exercises, and Computer Science resources available on Khan Academy, with emphasis on how resources can be used in classrooms.", "x_pos": 0.0, "node_slug": "site-tour", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0a3de25f", "topic_page_url": "/coach-res/become-a-coach/site-tour", "extended_slug": "coach-res/become-a-coach/site-tour", "slug": "site-tour", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2123e5be0746905a49799f93244cd0183696e28", "standalone_title": "Take a tour of KA", "y_pos": 0.0, "current_revision_key": "a2123e5be0746905a49799f93244cd0183696e28", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/coach-set-up", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/coach-set-up", "translated_standalone_title": "Get on Khan Academy", "translated_title": "Get on Khan Academy", "gplus_url": "", "id": "x1867a272", "old_key_name": null, "hide": false, "title": "Get on Khan Academy", "child_data": [{"kind": "Article", "id": "x6dd71826"}, {"kind": "Article", "id": "x4ff47119"}, {"kind": "Article", "id": "xad0b60db"}], "children": [], "twitter_url": "", "translated_description": "Learn how to sign up for an account, add students, and create class lists", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how to sign up for an account, add students, and create class lists", "x_pos": 0.0, "node_slug": "coach-set-up", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1867a272", "topic_page_url": "/coach-res/become-a-coach/coach-set-up", "extended_slug": "coach-res/become-a-coach/coach-set-up", "slug": "coach-set-up", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "025623dfd77672bf7e3b0d0341b8272bf69acf50", "standalone_title": "Get on Khan Academy", "y_pos": 0.0, "current_revision_key": "025623dfd77672bf7e3b0d0341b8272bf69acf50", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/ways-to-use-ka", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/ways-to-use-ka", "translated_standalone_title": "Ways to use Khan Academy", "translated_title": "Ways to use Khan Academy", "gplus_url": "", "id": "x049151d8", "old_key_name": null, "hide": false, "title": "Ways to use Khan Academy", "child_data": [{"kind": "Article", "id": "xd1223c4a"}, {"kind": "Article", "id": "x6d7928a8"}, {"kind": "Article", "id": "x48296a5c"}, {"kind": "Article", "id": "xb2260a5f"}, {"kind": "Article", "id": "xd8396d56"}], "children": [], "twitter_url": "", "translated_description": "Discover the most common ways Khan Academy is being used in a variety of learning environments", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Discover the most common ways Khan Academy is being used in a variety of learning environments", "x_pos": 0.0, "node_slug": "ways-to-use-ka", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax049151d8", "topic_page_url": "/coach-res/become-a-coach/ways-to-use-ka", "extended_slug": "coach-res/become-a-coach/ways-to-use-ka", "slug": "ways-to-use-ka", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7781f6cc694151cf3cf2fbf401bc7f676fe47c3d", "standalone_title": "Ways to use Khan Academy", "y_pos": 0.0, "current_revision_key": "7781f6cc694151cf3cf2fbf401bc7f676fe47c3d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/curriculum-integration", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/curriculum-integration", "translated_standalone_title": "Integrate Khan Academy into your curriculum", "translated_title": "Integrate Khan Academy into your curriculum", "gplus_url": "", "id": "xd41e397d", "old_key_name": "txDuQIu9_ihQqgjMxWPoiG95p-GLb83y7dspG1i0", "hide": false, "title": "Integrate Khan Academy into your curriculum", "child_data": [{"kind": "Article", "id": "x2f791bb1"}, {"kind": "Article", "id": "x9b72a2d0"}, {"kind": "Article", "id": "xd964969a"}, {"kind": "Article", "id": "xbe096150"}, {"kind": "Article", "id": "xefd049f1"}, {"kind": "Article", "id": "x1685fe5f"}], "children": [], "twitter_url": "", "translated_description": "Wondering how to fit Khan Academy in with your curriculum? Check out the most common integrations as well as a few concrete examples from teachers who use KA. ", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Wondering how to fit Khan Academy in with your curriculum? Check out the most common integrations as well as a few concrete examples from teachers who use KA. ", "x_pos": 0.0, "node_slug": "curriculum-integration", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T23:27:31Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd41e397d", "topic_page_url": "/coach-res/become-a-coach/curriculum-integration", "extended_slug": "coach-res/become-a-coach/curriculum-integration", "slug": "curriculum-integration", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "7e8af8bbd6c72ace08f7a8ebd4aed67761acbacf", "standalone_title": "Integrate Khan Academy into your curriculum", "y_pos": 0.0, "current_revision_key": "7e8af8bbd6c72ace08f7a8ebd4aed67761acbacf", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/using-data", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/using-data", "translated_standalone_title": "Using data", "translated_title": "Using data", "gplus_url": "", "id": "xe0bc804b", "old_key_name": null, "hide": false, "title": "Using data", "child_data": [{"kind": "Video", "id": "x39fc2115"}, {"kind": "Article", "id": "xa9c1895d"}], "children": [{"translated_youtube_id": "edgc5bX1T10", "relative_url": "/video/how-i-use-ka-data", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/how-i-use-ka-data", "duration": 164, "translated_title": "How I use Khan Academy data - An educator's perspective", "translated_description_html": "", "id": "x39fc2115", "description_html": "", "title": "How I use Khan Academy data - An educator's perspective", "progress_key": "vx39fc2115", "edit_slug": "edit/v/x39fc2115", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/how-i-use-ka-data", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-29T02:08:34Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/edgc5bX1T10.mp4/edgc5bX1T10.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/edgc5bX1T10.mp4/edgc5bX1T10.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/edgc5bX1T10.m3u8/edgc5bX1T10.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=edgc5bX1T10&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx39fc2115", "sha": "09e738f1ceb60b3cda3473ae07683ee485108503", "translated_description": "", "image_url": "https://img.youtube.com/vi/edgc5bX1T10/hqdefault.jpg", "youtube_id": "edgc5bX1T10", "content_kind": "Video", "readable_id": "how-i-use-ka-data"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "using-data", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T02:10:26Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0bc804b", "topic_page_url": "/coach-res/become-a-coach/using-data", "extended_slug": "coach-res/become-a-coach/using-data", "slug": "using-data", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f6f6585cb513e0e492b930aec48c965c927f43a5", "standalone_title": "Using data", "y_pos": 0.0, "current_revision_key": "f6f6585cb513e0e492b930aec48c965c927f43a5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/become-a-coach/implementation-design", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/become-a-coach/implementation-design", "translated_standalone_title": "Coaching in a K-12 environment", "translated_title": "Coaching in a K-12 environment", "gplus_url": "", "id": "xdc06cb14", "old_key_name": "Wa7eSGaBXCffsYfspmt6lkurvrNkWQIVP64KtaEd", "hide": false, "title": "Coaching in a K-12 environment", "child_data": [{"kind": "Article", "id": "x0a8c22bf"}, {"kind": "Article", "id": "x5580eb56"}, {"kind": "Article", "id": "x37c26cc3"}, {"kind": "Article", "id": "x7f7cba73"}, {"kind": "Article", "id": "xa01d68e2"}, {"kind": "Article", "id": "xa85fe3b8"}, {"kind": "Article", "id": "x29fe2d27"}, {"kind": "Article", "id": "xca7ea4b2"}, {"kind": "Article", "id": "xd569f522"}, {"kind": "Article", "id": "x8757775c"}, {"kind": "Article", "id": "x7545116a"}, {"kind": "Article", "id": "x1770159d"}, {"kind": "Article", "id": "xab1bf998"}, {"kind": "Article", "id": "x88e405eb"}], "children": [], "twitter_url": "", "translated_description": "Explore recommended practices from the many educators who are using Khan Academy", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Explore recommended practices from the many educators who are using Khan Academy", "x_pos": 0.0, "node_slug": "implementation-design", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axdc06cb14", "topic_page_url": "/coach-res/become-a-coach/implementation-design", "extended_slug": "coach-res/become-a-coach/implementation-design", "slug": "implementation-design", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9ad9aaf0cd32ce1f1ebc4ad3c108667ad60f482d", "standalone_title": "Coaching in a K-12 environment", "y_pos": 0.0, "current_revision_key": "9ad9aaf0cd32ce1f1ebc4ad3c108667ad60f482d", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "New to Khan Academy or interested in maximizing how to use Khan Academy as a coach? Learn how to get ramped up and running. This section also includes best practices and tips on using Khan Academy in classrooms, community environments, at home, and more. If you're a coach, you'll want to check it out.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "New to Khan Academy or interested in maximizing how to use Khan Academy as a coach? Learn how to get ramped up and running. This section also includes best practices and tips on using Khan Academy in classrooms, community environments, at home, and more. If you're a coach, you'll want to check it out.", "x_pos": 0.0, "node_slug": "become-a-coach", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-03T17:52:31Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc990f6cd", "topic_page_url": "/coach-res/become-a-coach", "extended_slug": "coach-res/become-a-coach", "slug": "become-a-coach", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d731d1ef42255c5f4355e9699712db6134afb974", "standalone_title": "Become a Khan Academy coach", "y_pos": 0.0, "current_revision_key": "d731d1ef42255c5f4355e9699712db6134afb974", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/case-studies", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/case-studies", "translated_standalone_title": "Khan Academy in the real world", "translated_title": "Khan Academy in the real world", "gplus_url": "", "id": "x1c359f96", "old_key_name": "Eu0l7yLgRAxSZMLY_Fu7AgXLdRs5bEs3HthgDySW", "hide": false, "title": "Khan Academy in the real world", "child_data": [{"kind": "Topic", "id": "xb4ce52d4"}, {"kind": "Topic", "id": "x03d4f4c7"}, {"kind": "Topic", "id": "xbe5b8bb9"}, {"kind": "Topic", "id": "x6bbb8e70"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/case-studies/k12-classrooms", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/case-studies/k12-classrooms", "translated_standalone_title": "Khan Academy in K-12 classrooms", "translated_title": "Khan Academy in K-12 classrooms", "gplus_url": "", "id": "xb4ce52d4", "old_key_name": null, "hide": false, "title": "Khan Academy in K-12 classrooms", "child_data": [{"kind": "Article", "id": "xd16ba439"}, {"kind": "Article", "id": "x6ccf17fa"}, {"kind": "Video", "id": "xd2ed1376"}, {"kind": "Video", "id": "xedd1d80a"}], "children": [{"translated_youtube_id": "C-I9m3RR2Cg", "relative_url": "/video/k12student-learning", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/k12student-learning", "duration": 259, "translated_title": "Student ownership of learning in my classroom", "translated_description_html": "", "id": "xd2ed1376", "description_html": "", "title": "Student ownership of learning in my classroom", "progress_key": "vxd2ed1376", "edit_slug": "edit/v/xd2ed1376", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/k12student-learning", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2013-08-29T00:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/C-I9m3RR2Cg.mp4/C-I9m3RR2Cg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C-I9m3RR2Cg.mp4/C-I9m3RR2Cg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C-I9m3RR2Cg.m3u8/C-I9m3RR2Cg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=C-I9m3RR2Cg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxd2ed1376", "sha": "396f3c392b147d8eacf15f783fef409c57a46c10", "translated_description": "", "image_url": "https://img.youtube.com/vi/C-I9m3RR2Cg/hqdefault.jpg", "youtube_id": "C-I9m3RR2Cg", "content_kind": "Video", "readable_id": "k12student-learning"}, {"translated_youtube_id": "kRGLC1Q9VCQ", "relative_url": "/video/khan-academy-idaho---shelby-harris---kuna--id", "has_questions": false, "keywords": "TEACH documentary, davis guggenheim, idaho, kuna, shelby harris", "ka_url": "http://www.khanacademy.org/video/khan-academy-idaho---shelby-harris---kuna--id", "duration": 211, "translated_title": "Shelby Harris' classroom (Idaho, 2013)", "translated_description_html": "", "id": "xedd1d80a", "description_html": "", "title": "Shelby Harris' classroom (Idaho, 2013)", "progress_key": "vxedd1d80a", "edit_slug": "edit/v/xedd1d80a", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-idaho---shelby-harris---kuna--id", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-29T00:26:11Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/kRGLC1Q9VCQ.mp4/kRGLC1Q9VCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kRGLC1Q9VCQ.mp4/kRGLC1Q9VCQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kRGLC1Q9VCQ.m3u8/kRGLC1Q9VCQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=kRGLC1Q9VCQ&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxedd1d80a", "sha": "7d381124c38064a2978ef597e212fc1de4153611", "translated_description": "", "image_url": "https://img.youtube.com/vi/kRGLC1Q9VCQ/hqdefault.jpg", "youtube_id": "kRGLC1Q9VCQ", "content_kind": "Video", "readable_id": "khan-academy-idaho---shelby-harris---kuna--id"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "k12-classrooms", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb4ce52d4", "topic_page_url": "/coach-res/case-studies/k12-classrooms", "extended_slug": "coach-res/case-studies/k12-classrooms", "slug": "k12-classrooms", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "95c13e8566c5520803794cd437afb7775183acb4", "standalone_title": "Khan Academy in K-12 classrooms", "y_pos": 0.0, "current_revision_key": "95c13e8566c5520803794cd437afb7775183acb4", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/case-studies/case-studies-higher-ed", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/case-studies/case-studies-higher-ed", "translated_standalone_title": "Khan Academy in Higher Education", "translated_title": "Khan Academy in Higher Education", "gplus_url": "", "id": "x03d4f4c7", "old_key_name": null, "hide": false, "title": "Khan Academy in Higher Education", "child_data": [{"kind": "Article", "id": "x64cfd9e2"}, {"kind": "Article", "id": "x8623be43"}, {"kind": "Article", "id": "x0b7374dc"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "case-studies-higher-ed", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax03d4f4c7", "topic_page_url": "/coach-res/case-studies/case-studies-higher-ed", "extended_slug": "coach-res/case-studies/case-studies-higher-ed", "slug": "case-studies-higher-ed", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "d37db4184fcd194090428ff4792e05e2d0a9bdce", "standalone_title": "Khan Academy in Higher Education", "y_pos": 0.0, "current_revision_key": "d37db4184fcd194090428ff4792e05e2d0a9bdce", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/case-studies/home-case-studies", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/case-studies/home-case-studies", "translated_standalone_title": "Khan Academy at home", "translated_title": "Khan Academy at home", "gplus_url": "", "id": "xbe5b8bb9", "old_key_name": null, "hide": false, "title": "Khan Academy at home", "child_data": [{"kind": "Article", "id": "x780d0ed8"}, {"kind": "Article", "id": "xb6ce2f18"}, {"kind": "Article", "id": "x810acc38"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "home-case-studies", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axbe5b8bb9", "topic_page_url": "/coach-res/case-studies/home-case-studies", "extended_slug": "coach-res/case-studies/home-case-studies", "slug": "home-case-studies", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f3ffbd52aea8016f1b931044b436f0ddd8d52f71", "standalone_title": "Khan Academy at home", "y_pos": 0.0, "current_revision_key": "f3ffbd52aea8016f1b931044b436f0ddd8d52f71", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/case-studies/case-studies-other-educators", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/case-studies/case-studies-other-educators", "translated_standalone_title": "Khan Academy in other learning environments", "translated_title": "Khan Academy in other learning environments", "gplus_url": "", "id": "x6bbb8e70", "old_key_name": null, "hide": false, "title": "Khan Academy in other learning environments", "child_data": [{"kind": "Article", "id": "x19efdb6e"}, {"kind": "Video", "id": "xe0baf42a"}, {"kind": "Article", "id": "xb31bd7de"}, {"kind": "Article", "id": "x8c7c94c8"}, {"kind": "Article", "id": "xe6b46a87"}, {"kind": "Article", "id": "x39b17349"}, {"kind": "Article", "id": "x37bde9d7"}], "children": [{"translated_youtube_id": "hKa5Of7Dlbg", "relative_url": "/video/bgc-chaffee-colorado", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/bgc-chaffee-colorado", "duration": 217, "translated_title": "Case Study: Khan Academy Math Program at Boys & Girls Club of Chaffee County Colorado", "translated_description_html": "

The Boys & Girls Club of Chaffee shares how they are using Khan Academy in their programs in Colorado. <\/p>\n", "id": "xe0baf42a", "description_html": "

The Boys & Girls Club of Chaffee shares how they are using Khan Academy in their programs in Colorado. <\/p>\n", "title": "Case Study: Khan Academy Math Program at Boys & Girls Club of Chaffee County Colorado", "progress_key": "vxe0baf42a", "edit_slug": "edit/v/xe0baf42a", "author_names": [], "deleted_mod_time": null, "description": "The Boys & Girls Club of Chaffee shares how they are using Khan Academy in their programs in Colorado. \n", "extra_properties": {"original_url": ""}, "node_slug": "v/bgc-chaffee-colorado", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-07-18T06:57:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/hKa5Of7Dlbg.mp4/hKa5Of7Dlbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hKa5Of7Dlbg.mp4/hKa5Of7Dlbg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/hKa5Of7Dlbg.m3u8/hKa5Of7Dlbg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=hKa5Of7Dlbg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe0baf42a", "sha": "8c4ba13ab29b7d6c6d5d662533756272a559c8c8", "translated_description": "The Boys & Girls Club of Chaffee shares how they are using Khan Academy in their programs in Colorado. \n", "image_url": "https://img.youtube.com/vi/hKa5Of7Dlbg/hqdefault.jpg", "youtube_id": "hKa5Of7Dlbg", "content_kind": "Video", "readable_id": "bgc-chaffee-colorado"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "case-studies-other-educators", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6bbb8e70", "topic_page_url": "/coach-res/case-studies/case-studies-other-educators", "extended_slug": "coach-res/case-studies/case-studies-other-educators", "slug": "case-studies-other-educators", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "b1d894c8c06dad631f4cae1940565c9c2f924232", "standalone_title": "Khan Academy in other learning environments", "y_pos": 0.0, "current_revision_key": "b1d894c8c06dad631f4cae1940565c9c2f924232", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "See how Khan Academy is used in real-life. These case studies cover various models in public, charter, and independent schools as well as community programs and higher education. We're excited about the way these organizations are using our resources and are eager to learn from more educators and students. For even more examples, check out our blog at schools.khanacademy.org.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "See how Khan Academy is used in real-life. These case studies cover various models in public, charter, and independent schools as well as community programs and higher education. We're excited about the way these organizations are using our resources and are eager to learn from more educators and students. For even more examples, check out our blog at schools.khanacademy.org.", "x_pos": 0.0, "node_slug": "case-studies", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-03T17:52:31Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1c359f96", "topic_page_url": "/coach-res/case-studies", "extended_slug": "coach-res/case-studies", "slug": "case-studies", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "76bf739bf58832324c020a6d65f36f654f77a704", "standalone_title": "Khan Academy in the real world", "y_pos": 0.0, "current_revision_key": "76bf739bf58832324c020a6d65f36f654f77a704", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop", "translated_standalone_title": "virtual teacher workshop", "translated_title": "Virtual Teacher Workshop", "gplus_url": "", "id": "xea0d9938", "old_key_name": null, "hide": false, "title": "Virtual Teacher Workshop", "child_data": [{"kind": "Topic", "id": "x635a9f11"}, {"kind": "Topic", "id": "xf42a80ca"}, {"kind": "Topic", "id": "x1ab88d77"}, {"kind": "Topic", "id": "xd89b9b7d"}, {"kind": "Topic", "id": "x856374cb"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop/welcome-virtual-workshop", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop/welcome-virtual-workshop", "translated_standalone_title": "Welcome to our virtual teacher workshop!", "translated_title": "Welcome to our virtual teacher workshop!", "gplus_url": "", "id": "x635a9f11", "old_key_name": null, "hide": false, "title": "Welcome to our virtual teacher workshop!", "child_data": [{"kind": "Article", "id": "xc8f559dd"}, {"kind": "Video", "id": "x00e2272a"}], "children": [{"translated_youtube_id": "A4-PJ3wIjpA", "relative_url": "/video/khan-academys-vision-in-the-classroom", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-academys-vision-in-the-classroom", "duration": 1586, "translated_title": "Khan Academy's Vision in the Classroom", "translated_description_html": "

Skip to 11:05 to hear about the philosophy that guides our work in schools
<\/p>", "id": "x00e2272a", "description_html": "

Skip to 11:05 to hear about the philosophy that guides our work in schools
<\/p>", "title": "Khan Academy's Vision in the Classroom", "progress_key": "vx00e2272a", "edit_slug": "edit/v/x00e2272a", "author_names": [], "deleted_mod_time": null, "description": "Skip to 11:05 to hear about the philosophy that guides our work in schools", "extra_properties": {}, "node_slug": "v/khan-academys-vision-in-the-classroom", "deleted": false, "backup_timestamp": "2013-10-10T01:44:36Z", "date_added": "2013-10-10T01:44:36Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/A4-PJ3wIjpA.mp4/A4-PJ3wIjpA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A4-PJ3wIjpA.mp4/A4-PJ3wIjpA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A4-PJ3wIjpA.m3u8/A4-PJ3wIjpA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=A4-PJ3wIjpA&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx00e2272a", "sha": "b1f3e4b0e927d55367e8030d76e2380d85ed8edc", "translated_description": "Skip to 11:05 to hear about the philosophy that guides our work in schools", "image_url": "https://img.youtube.com/vi/A4-PJ3wIjpA/hqdefault.jpg", "youtube_id": "A4-PJ3wIjpA", "content_kind": "Video", "readable_id": "khan-academys-vision-in-the-classroom"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "welcome-virtual-workshop", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax635a9f11", "topic_page_url": "/coach-res/virtual-teacher-workshop/welcome-virtual-workshop", "extended_slug": "coach-res/virtual-teacher-workshop/welcome-virtual-workshop", "slug": "welcome-virtual-workshop", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "6e97058563228708ddd52680e3d64256a692fe04", "standalone_title": "Welcome to our virtual teacher workshop!", "y_pos": 0.0, "current_revision_key": "6e97058563228708ddd52680e3d64256a692fe04", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop/scavenger-hunt", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop/scavenger-hunt", "translated_standalone_title": "Scavenger hunt through our site", "translated_title": "Scavenger hunt through our site", "gplus_url": "", "id": "xf42a80ca", "old_key_name": null, "hide": false, "title": "Scavenger hunt through our site", "child_data": [{"kind": "Video", "id": "xf3c7c8ed"}, {"kind": "Article", "id": "xb3b06369"}, {"kind": "Article", "id": "x306bcc49"}, {"kind": "Article", "id": "x19e9e417"}, {"kind": "Article", "id": "x24e56fd4"}, {"kind": "Article", "id": "x3aefeeb4"}], "children": [{"translated_youtube_id": "Bd5X7Kz_Bpg", "relative_url": "/video/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "duration": 582, "translated_title": "A tour of the Khan Academy site for coaches", "translated_description_html": "


<\/p>", "id": "xf3c7c8ed", "description_html": "


<\/p>", "title": "A tour of the Khan Academy site for coaches", "progress_key": "vxf3c7c8ed", "edit_slug": "edit/v/xf3c7c8ed", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/a-tour-of-the-khan-academy-site-for-coaches--august-2013", "deleted": false, "backup_timestamp": "2013-09-20T10:49:46Z", "date_added": "2013-08-14T07:01:56Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.mp4/Bd5X7Kz_Bpg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.mp4/Bd5X7Kz_Bpg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Bd5X7Kz_Bpg.m3u8/Bd5X7Kz_Bpg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=Bd5X7Kz_Bpg&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxf3c7c8ed", "sha": "24c2800a0734f3c3c055f0d4664f805eec269d98", "translated_description": "", "image_url": "https://img.youtube.com/vi/Bd5X7Kz_Bpg/hqdefault.jpg", "youtube_id": "Bd5X7Kz_Bpg", "content_kind": "Video", "readable_id": "a-tour-of-the-khan-academy-site-for-coaches--august-2013"}], "twitter_url": "", "translated_description": "This guided exploration will show you the various features and tools of our site. By the end, you should feel comfortable with the student and teacher experience.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "This guided exploration will show you the various features and tools of our site. By the end, you should feel comfortable with the student and teacher experience.", "x_pos": 0.0, "node_slug": "scavenger-hunt", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:36Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axf42a80ca", "topic_page_url": "/coach-res/virtual-teacher-workshop/scavenger-hunt", "extended_slug": "coach-res/virtual-teacher-workshop/scavenger-hunt", "slug": "scavenger-hunt", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "bbec597c86f381409b842d9bbea716833f8c2b69", "standalone_title": "Scavenger hunt through our site", "y_pos": 0.0, "current_revision_key": "bbec597c86f381409b842d9bbea716833f8c2b69", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop/planning-your-implementation", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop/planning-your-implementation", "translated_standalone_title": "Planning your implementation", "translated_title": "Planning your implementation", "gplus_url": "", "id": "x1ab88d77", "old_key_name": null, "hide": false, "title": "Planning your implementation", "child_data": [{"kind": "Article", "id": "xdb5115da"}, {"kind": "Article", "id": "x4fb7982d"}, {"kind": "Article", "id": "xa076e152"}, {"kind": "Article", "id": "x3cdc496c"}, {"kind": "Article", "id": "x1d113e86"}, {"kind": "Article", "id": "x15c4fa2c"}], "children": [], "twitter_url": "", "translated_description": "Think through the essential parts of you Khan Academy implementation, including figuring out the purpose it will serve, how to integrate it into your curriculum, and how to hold students accountable", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Think through the essential parts of you Khan Academy implementation, including figuring out the purpose it will serve, how to integrate it into your curriculum, and how to hold students accountable", "x_pos": 0.0, "node_slug": "planning-your-implementation", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax1ab88d77", "topic_page_url": "/coach-res/virtual-teacher-workshop/planning-your-implementation", "extended_slug": "coach-res/virtual-teacher-workshop/planning-your-implementation", "slug": "planning-your-implementation", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "9c8df868a5c8cd2e700af158f4835b510a8e212d", "standalone_title": "Planning your implementation", "y_pos": 0.0, "current_revision_key": "9c8df868a5c8cd2e700af158f4835b510a8e212d", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop/fellow-teachers", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop/fellow-teachers", "translated_standalone_title": "Getting inspired by fellow teachers", "translated_title": "Getting inspired by fellow teachers", "gplus_url": "", "id": "xd89b9b7d", "old_key_name": null, "hide": false, "title": "Getting inspired by fellow teachers", "child_data": [{"kind": "Video", "id": "x86a35e04"}, {"kind": "Video", "id": "xc4a994d8"}, {"kind": "Video", "id": "x26d91a71"}, {"kind": "Article", "id": "x62548f9c"}], "children": [{"translated_youtube_id": "lpVCcQtZ9FI", "relative_url": "/video/KA Workshop Presentation: Suney's Classroom", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/KA Workshop Presentation: Suney's Classroom", "duration": 1528, "translated_title": "Workshop presentation: Suney's class", "translated_description_html": "

6th grade teacher Suney shows how her KA implementation has evolved
<\/p>", "id": "x86a35e04", "description_html": "

6th grade teacher Suney shows how her KA implementation has evolved
<\/p>", "title": "Workshop presentation: Suney's class", "progress_key": "vx86a35e04", "edit_slug": "edit/v/x86a35e04", "author_names": [], "deleted_mod_time": null, "description": "6th grade teacher Suney shows how her KA implementation has evolved", "extra_properties": {}, "node_slug": "v/KA Workshop Presentation: Suney's Classroom", "deleted": false, "backup_timestamp": "2013-10-15T23:45:51Z", "date_added": "2013-10-15T23:45:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/lpVCcQtZ9FI.mp4/lpVCcQtZ9FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lpVCcQtZ9FI.mp4/lpVCcQtZ9FI.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lpVCcQtZ9FI.m3u8/lpVCcQtZ9FI.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=lpVCcQtZ9FI&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx86a35e04", "sha": "5d8a7b980cb3a081b87c8082d163611ae1fbb14b", "translated_description": "6th grade teacher Suney shows how her KA implementation has evolved", "image_url": "https://img.youtube.com/vi/lpVCcQtZ9FI/hqdefault.jpg", "youtube_id": "lpVCcQtZ9FI", "content_kind": "Video", "readable_id": "KA Workshop Presentation: Suney's Classroom"}, {"translated_youtube_id": "JmHEZgAhq1Y", "relative_url": "/video/KA Workshop Presentation: Tal's Classroom", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/KA Workshop Presentation: Tal's Classroom", "duration": 920, "translated_title": "Workshop presentation: Tal's class", "translated_description_html": "

High school teacher Tal shows how he used KA with his students<\/p>", "id": "xc4a994d8", "description_html": "

High school teacher Tal shows how he used KA with his students<\/p>", "title": "Workshop presentation: Tal's class", "progress_key": "vxc4a994d8", "edit_slug": "edit/v/xc4a994d8", "author_names": [], "deleted_mod_time": null, "description": "High school teacher Tal shows how he used KA with his students", "extra_properties": {}, "node_slug": "v/KA Workshop Presentation: Tal's Classroom", "deleted": false, "backup_timestamp": "2013-10-15T23:45:51Z", "date_added": "2013-10-15T23:45:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/JmHEZgAhq1Y.mp4/JmHEZgAhq1Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JmHEZgAhq1Y.mp4/JmHEZgAhq1Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JmHEZgAhq1Y.m3u8/JmHEZgAhq1Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=JmHEZgAhq1Y&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxc4a994d8", "sha": "0b581c2a7d3c4cd0e145f9ffed6a814a29861208", "translated_description": "High school teacher Tal shows how he used KA with his students", "image_url": "https://img.youtube.com/vi/JmHEZgAhq1Y/hqdefault.jpg", "youtube_id": "JmHEZgAhq1Y", "content_kind": "Video", "readable_id": "KA Workshop Presentation: Tal's Classroom"}, {"translated_youtube_id": "4N2CjLBvRWc", "relative_url": "/video/Workshop Q & A: Suney and Tal", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/Workshop Q & A: Suney and Tal", "duration": 291, "translated_title": "Workshop Q & A: Suney and Tal", "translated_description_html": "

Suney and Tal answer questions from teachers at the workshop
<\/p>", "id": "x26d91a71", "description_html": "

Suney and Tal answer questions from teachers at the workshop
<\/p>", "title": "Workshop Q & A: Suney and Tal", "progress_key": "vx26d91a71", "edit_slug": "edit/v/x26d91a71", "author_names": [], "deleted_mod_time": null, "description": "Suney and Tal answer questions from teachers at the workshop", "extra_properties": {}, "node_slug": "v/Workshop Q & A: Suney and Tal", "deleted": false, "backup_timestamp": "2013-10-15T23:45:51Z", "date_added": "2013-10-15T23:45:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/4N2CjLBvRWc.mp4/4N2CjLBvRWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4N2CjLBvRWc.mp4/4N2CjLBvRWc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4N2CjLBvRWc.m3u8/4N2CjLBvRWc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=4N2CjLBvRWc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx26d91a71", "sha": "6cae37af35193bae8761c6e349a7a44e585a9bbd", "translated_description": "Suney and Tal answer questions from teachers at the workshop", "image_url": "https://img.youtube.com/vi/4N2CjLBvRWc/hqdefault.jpg", "youtube_id": "4N2CjLBvRWc", "content_kind": "Video", "readable_id": "Workshop Q & A: Suney and Tal"}], "twitter_url": "", "translated_description": "Watch teachers share their own stories of using Khan Academy with their students and get inspired from various case studies", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Watch teachers share their own stories of using Khan Academy with their students and get inspired from various case studies", "x_pos": 0.0, "node_slug": "fellow-teachers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-15T23:45:51Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd89b9b7d", "topic_page_url": "/coach-res/virtual-teacher-workshop/fellow-teachers", "extended_slug": "coach-res/virtual-teacher-workshop/fellow-teachers", "slug": "fellow-teachers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "85a4ce27caa3f073e50614e2db878987d76b47fc", "standalone_title": "Getting inspired by fellow teachers", "y_pos": 0.0, "current_revision_key": "85a4ce27caa3f073e50614e2db878987d76b47fc", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/virtual-teacher-workshop/ongoing-support", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/virtual-teacher-workshop/ongoing-support", "translated_standalone_title": "Ongoing support & reference", "translated_title": "Ongoing support & reference", "gplus_url": "", "id": "x856374cb", "old_key_name": null, "hide": false, "title": "Ongoing support & reference", "child_data": [{"kind": "Article", "id": "xd182e3e7"}, {"kind": "Article", "id": "x26833511"}, {"kind": "Article", "id": "xfa097b5b"}], "children": [], "twitter_url": "", "translated_description": "Learn how to get your questions answered throughout the school year and lead your own Khan Academy workshop!", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how to get your questions answered throughout the school year and lead your own Khan Academy workshop!", "x_pos": 0.0, "node_slug": "ongoing-support", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-10T01:44:37Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax856374cb", "topic_page_url": "/coach-res/virtual-teacher-workshop/ongoing-support", "extended_slug": "coach-res/virtual-teacher-workshop/ongoing-support", "slug": "ongoing-support", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "e5820bfc4e328ac3e678f681ae350066e223ebe0", "standalone_title": "Ongoing support & reference", "y_pos": 0.0, "current_revision_key": "e5820bfc4e328ac3e678f681ae350066e223ebe0", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Walk through the resources you need to get started in your classroom.", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Walk through the resources you need to get started in your classroom.", "x_pos": 0.0, "node_slug": "virtual-teacher-workshop", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-10-08T22:53:49Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axea0d9938", "topic_page_url": "/coach-res/virtual-teacher-workshop", "extended_slug": "coach-res/virtual-teacher-workshop", "slug": "virtual-teacher-workshop", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "2f8c3bbf61809d96f05dcf0324854a1c8beca876", "standalone_title": "virtual teacher workshop", "y_pos": 0.0, "current_revision_key": "2f8c3bbf61809d96f05dcf0324854a1c8beca876", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches", "translated_standalone_title": "Reference for coaches", "translated_title": "Reference for coaches", "gplus_url": "", "id": "x6e277157", "old_key_name": null, "hide": false, "title": "Reference for coaches", "child_data": [{"kind": "Topic", "id": "x28c44643"}, {"kind": "Topic", "id": "x4a1cf7ab"}, {"kind": "Topic", "id": "x558bbd46"}, {"kind": "Topic", "id": "x14ccfd52"}, {"kind": "Topic", "id": "x19b109b6"}, {"kind": "Topic", "id": "xc1e1900d"}, {"kind": "Topic", "id": "xe0bae0c9"}, {"kind": "Topic", "id": "x7fd77399"}, {"kind": "Topic", "id": "xd4b88750"}, {"kind": "Topic", "id": "x74b1cded"}, {"kind": "Topic", "id": "xb21d126c"}, {"kind": "Topic", "id": "xb3fbfac0"}, {"kind": "Topic", "id": "xd90e1290"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/how-to", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/how-to", "translated_standalone_title": "How to guides", "translated_title": "How to guides", "gplus_url": "", "id": "x28c44643", "old_key_name": null, "hide": false, "title": "How to guides", "child_data": [{"kind": "Article", "id": "xea6193bb"}, {"kind": "Article", "id": "x62e31b08"}, {"kind": "Article", "id": "x90f433f9"}, {"kind": "Article", "id": "xe95b680a"}, {"kind": "Article", "id": "x7a8b3dd1"}, {"kind": "Article", "id": "x196b8936"}, {"kind": "Article", "id": "x92a4365e"}, {"kind": "Article", "id": "x90699b4e"}, {"kind": "Article", "id": "x0c5fc2e8"}, {"kind": "Article", "id": "x0e23243f"}, {"kind": "Article", "id": "x25ba2aff"}, {"kind": "Article", "id": "xeebb330f"}, {"kind": "Article", "id": "x220a3257"}, {"kind": "Article", "id": "x138d178f"}, {"kind": "Article", "id": "x18569fd5"}, {"kind": "Article", "id": "xe0517977"}, {"kind": "Article", "id": "x46e1bb59"}, {"kind": "Article", "id": "xf1bc6dcd"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "how-to", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-17T17:09:02Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax28c44643", "topic_page_url": "/coach-res/reference-for-coaches/how-to", "extended_slug": "coach-res/reference-for-coaches/how-to", "slug": "how-to", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "0ba3d563f71169b1496ac87a8c643a34e33265ee", "standalone_title": "How to guides", "y_pos": 0.0, "current_revision_key": "0ba3d563f71169b1496ac87a8c643a34e33265ee", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/resources-to-share", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/resources-to-share", "translated_standalone_title": "Resources to share", "translated_title": "Resources to share", "gplus_url": "", "id": "x4a1cf7ab", "old_key_name": null, "hide": false, "title": "Resources to share", "child_data": [{"kind": "Article", "id": "x0a3430eb"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "resources-to-share", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax4a1cf7ab", "topic_page_url": "/coach-res/reference-for-coaches/resources-to-share", "extended_slug": "coach-res/reference-for-coaches/resources-to-share", "slug": "resources-to-share", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c57dfb38e4fb40db4a2079d9621855bbd448c1ca", "standalone_title": "Resources to share", "y_pos": 0.0, "current_revision_key": "c57dfb38e4fb40db4a2079d9621855bbd448c1ca", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/curriculum-mappings", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/curriculum-mappings", "translated_standalone_title": "Sample playlists and curriculum mappings", "translated_title": "Sample playlists and curriculum mappings", "gplus_url": "", "id": "x558bbd46", "old_key_name": null, "hide": false, "title": "Sample playlists and curriculum mappings", "child_data": [{"kind": "Article", "id": "x16ac20e8"}, {"kind": "Article", "id": "x5fc7bde5"}, {"kind": "Article", "id": "x21d90d1f"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "curriculum-mappings", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-28T07:57:45Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax558bbd46", "topic_page_url": "/coach-res/reference-for-coaches/curriculum-mappings", "extended_slug": "coach-res/reference-for-coaches/curriculum-mappings", "slug": "curriculum-mappings", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "692186d898135e4d52b221ddcd8950826efa7a27", "standalone_title": "Sample playlists and curriculum mappings", "y_pos": 0.0, "current_revision_key": "692186d898135e4d52b221ddcd8950826efa7a27", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/eastside-prep", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/eastside-prep", "translated_standalone_title": "Eastside Prep", "translated_title": "Eastside Prep", "gplus_url": "", "id": "x14ccfd52", "old_key_name": "JjXA7mdBIyP4tGWB11ZWm8Rc73ptSaqKOVinEanx", "hide": false, "title": "Eastside Prep", "child_data": [{"kind": "Video", "id": 878154048}, {"kind": "Article", "id": "x2a84dd11"}, {"kind": "Article", "id": "x9a3eda4c"}, {"kind": "Article", "id": "x8214b472"}, {"kind": "Article", "id": "x3b7bacd8"}, {"kind": "Article", "id": "x44b9110e"}, {"kind": "Article", "id": "x728ce16c"}, {"kind": "Article", "id": "xb22b014d"}, {"kind": "Article", "id": "x4d6119e7"}], "children": [{"translated_youtube_id": "mLi7BhMj8TA", "relative_url": "/video/eastside", "has_questions": false, "keywords": "Eastside, v3", "ka_url": "http://www.khanacademy.org/video/eastside", "duration": 320, "translated_title": "Khan Academy at Eastside College Prep", "translated_description_html": "", "id": "878154048", "description_html": "", "title": "Khan Academy at Eastside College Prep", "progress_key": "v878154048", "edit_slug": "edit/v/878154048", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/eastside", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-29T00:14:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.mp4/mLi7BhMj8TA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.mp4/mLi7BhMj8TA.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mLi7BhMj8TA.m3u8/mLi7BhMj8TA.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=mLi7BhMj8TA&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878154048", "sha": "8cef44922c1f268bc6c33ca143a97b286ce43ea2", "translated_description": "", "image_url": "https://img.youtube.com/vi/mLi7BhMj8TA/hqdefault.jpg", "youtube_id": "mLi7BhMj8TA", "content_kind": "Video", "readable_id": "eastside"}], "twitter_url": "", "translated_description": "Learn how 6th and 7th grade teachers Suney Park and Jen Johnson use KA at Eastside Prep in East Palo Alto, CA. All students at this independent school will be the first in their families to attend college.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Learn how 6th and 7th grade teachers Suney Park and Jen Johnson use KA at Eastside Prep in East Palo Alto, CA. All students at this independent school will be the first in their families to attend college.", "x_pos": 0.0, "node_slug": "eastside-prep", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax14ccfd52", "topic_page_url": "/coach-res/reference-for-coaches/eastside-prep", "extended_slug": "coach-res/reference-for-coaches/eastside-prep", "slug": "eastside-prep", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "c8cc4419e0a49edadbcad3c92e3deda837098f7b", "standalone_title": "Eastside Prep", "y_pos": 0.0, "current_revision_key": "c8cc4419e0a49edadbcad3c92e3deda837098f7b", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/high-tech-middle", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/high-tech-middle", "translated_standalone_title": "High Tech Middle School", "translated_title": "High Tech Middle School", "gplus_url": "", "id": "x19b109b6", "old_key_name": null, "hide": false, "title": "High Tech Middle School", "child_data": [{"kind": "Article", "id": "x2089c4ea"}, {"kind": "Article", "id": "x63db4e9c"}, {"kind": "Article", "id": "xfec61750"}, {"kind": "Article", "id": "xea81e45d"}, {"kind": "Article", "id": "xc1369d16"}, {"kind": "Article", "id": "xd22f7801"}, {"kind": "Article", "id": "xd692e414"}], "children": [], "twitter_url": "", "translated_description": "8th grade teacher Bryan Harms shares how he used Khan Academy in his project-based classroom.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "8th grade teacher Bryan Harms shares how he used Khan Academy in his project-based classroom.", "x_pos": 0.0, "node_slug": "high-tech-middle", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax19b109b6", "topic_page_url": "/coach-res/reference-for-coaches/high-tech-middle", "extended_slug": "coach-res/reference-for-coaches/high-tech-middle", "slug": "high-tech-middle", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a2a41174f0e03e4055aac7ccc2f16e0b6af664b1", "standalone_title": "High Tech Middle School", "y_pos": 0.0, "current_revision_key": "a2a41174f0e03e4055aac7ccc2f16e0b6af664b1", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/olney", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/olney", "translated_standalone_title": "Olney Charter High School, Philadelphia", "translated_title": "Olney Charter High School (Philadelphia, PA)", "gplus_url": "", "id": "xc1e1900d", "old_key_name": null, "hide": false, "title": "Olney Charter High School (Philadelphia, PA)", "child_data": [{"kind": "Video", "id": "x0c8e7ed7"}, {"kind": "Article", "id": "x2f52b607"}, {"kind": "Article", "id": "x4fc9f22c"}, {"kind": "Article", "id": "xf8c2cefc"}], "children": [{"translated_youtube_id": "NWffcD7jcEo", "relative_url": "/video/khan-academy-in-my-classroom--philadelphia--2011-12", "has_questions": false, "keywords": "olney, lack of resources, computers, charter, funding", "ka_url": "http://www.khanacademy.org/video/khan-academy-in-my-classroom--philadelphia--2011-12", "duration": 353, "translated_title": "Khan Academy in Tal Sztainer's classroom (Philadelphia, 2011-12)", "translated_description_html": "", "id": "x0c8e7ed7", "description_html": "", "title": "Khan Academy in Tal Sztainer's classroom (Philadelphia, 2011-12)", "progress_key": "vx0c8e7ed7", "edit_slug": "edit/v/x0c8e7ed7", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/khan-academy-in-my-classroom--philadelphia--2011-12", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-07-06T00:04:59Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/NWffcD7jcEo.mp4/NWffcD7jcEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NWffcD7jcEo.mp4/NWffcD7jcEo.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NWffcD7jcEo.m3u8/NWffcD7jcEo.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=NWffcD7jcEo&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx0c8e7ed7", "sha": "dd4fa1ecf4f71272cc51f4d2ce10c01f04ab0567", "translated_description": "", "image_url": "https://img.youtube.com/vi/NWffcD7jcEo/hqdefault.jpg", "youtube_id": "NWffcD7jcEo", "content_kind": "Video", "readable_id": "khan-academy-in-my-classroom--philadelphia--2011-12"}], "twitter_url": "", "translated_description": "TFA alum Tal Sztainer shares his experience teaching 12th grade math at Olney Charter High School in Philadelphia and the impact of finding funding for 10 computers for his classroom.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "TFA alum Tal Sztainer shares his experience teaching 12th grade math at Olney Charter High School in Philadelphia and the impact of finding funding for 10 computers for his classroom.", "x_pos": 0.0, "node_slug": "olney", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axc1e1900d", "topic_page_url": "/coach-res/reference-for-coaches/olney", "extended_slug": "coach-res/reference-for-coaches/olney", "slug": "olney", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "fc5a9ed9ca3d16ce7f2b96cdc4e63ced587638a8", "standalone_title": "Olney Charter High School, Philadelphia", "y_pos": 0.0, "current_revision_key": "fc5a9ed9ca3d16ce7f2b96cdc4e63ced587638a8", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/lasd", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/lasd", "translated_standalone_title": "Los Altos School District", "translated_title": "Los Altos School District", "gplus_url": "", "id": "xe0bae0c9", "old_key_name": "tF9j_9pcJ6aRKV3l-a5BuycK3JKmWo7NhGLtVXla", "hide": false, "title": "Los Altos School District", "child_data": [{"kind": "Video", "id": 878130260}, {"kind": "Article", "id": "xce2a3bf4"}, {"kind": "Video", "id": 1390111555}, {"kind": "Video", "id": 127447915}, {"kind": "Video", "id": 215376848}, {"kind": "Video", "id": 215376845}, {"kind": "Video", "id": 215376844}, {"kind": "Video", "id": "xaab40dee"}, {"kind": "Article", "id": "x83a50513"}], "children": [{"translated_youtube_id": "eJQzBJ6DtoY", "relative_url": "/video/los-altos", "has_questions": false, "keywords": "Los, Altos, v2", "ka_url": "http://www.khanacademy.org/video/los-altos", "duration": 438, "translated_title": "Khan Academy in Los Altos School District", "translated_description_html": "", "id": "878130260", "description_html": "", "title": "Khan Academy in Los Altos School District", "progress_key": "v878130260", "edit_slug": "edit/v/878130260", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/los-altos", "deleted": false, "backup_timestamp": "2013-09-22T10:35:39Z", "date_added": "2012-06-29T00:15:10Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.mp4/eJQzBJ6DtoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.mp4/eJQzBJ6DtoY.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eJQzBJ6DtoY.m3u8/eJQzBJ6DtoY.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=eJQzBJ6DtoY&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v878130260", "sha": "4229964f4a2ff5e366693215174cbe6688103e17", "translated_description": "", "image_url": "https://img.youtube.com/vi/eJQzBJ6DtoY/hqdefault.jpg", "youtube_id": "eJQzBJ6DtoY", "content_kind": "Video", "readable_id": "los-altos"}, {"translated_youtube_id": "OlYwHNKN-qw", "relative_url": "/video/spout-bot-at-santa-rita-elementary-school", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/spout-bot-at-santa-rita-elementary-school", "duration": 246, "translated_title": "3rd graders build robots at Santa Rita Elementary School", "translated_description_html": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "id": "1390111555", "description_html": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "title": "3rd graders build robots at Santa Rita Elementary School", "progress_key": "v1390111555", "edit_slug": "edit/v/1390111555", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "extra_properties": {"original_url": ""}, "node_slug": "v/spout-bot-at-santa-rita-elementary-school", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2013-02-18T21:04:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.mp4/OlYwHNKN-qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.mp4/OlYwHNKN-qw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OlYwHNKN-qw.m3u8/OlYwHNKN-qw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=OlYwHNKN-qw&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1390111555", "sha": "4a245bd6b2abe0cda830cf54bf9ab22f49e3a384", "translated_description": "Mrs. Rowhani's third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita's volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.", "image_url": "https://img.youtube.com/vi/OlYwHNKN-qw/hqdefault.jpg", "youtube_id": "OlYwHNKN-qw", "content_kind": "Video", "readable_id": "spout-bot-at-santa-rita-elementary-school"}, {"translated_youtube_id": "VGxGrEnWVsg", "relative_url": "/video/npr-story-on-ka-los-altos-pilots--june-2011", "has_questions": false, "keywords": "education, technology, los, altos", "ka_url": "http://www.khanacademy.org/video/npr-story-on-ka-los-altos-pilots--june-2011", "duration": 269, "translated_title": "NPR Story on KA Los Altos Pilots (June 2011)", "translated_description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "id": "127447915", "description_html": "NPR All Things Considered story on Khan Academy Los Altos pilots", "title": "NPR Story on KA Los Altos Pilots (June 2011)", "progress_key": "v127447915", "edit_slug": "edit/v/127447915", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "extra_properties": {"original_url": ""}, "node_slug": "v/npr-story-on-ka-los-altos-pilots--june-2011", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2011-06-24T23:27:50Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.mp4/VGxGrEnWVsg.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VGxGrEnWVsg.m3u8/VGxGrEnWVsg.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=VGxGrEnWVsg&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v127447915", "sha": "ba4247d10ab44edeb8584c09ac201f87fd90b8b8", "translated_description": "NPR All Things Considered story on Khan Academy Los Altos pilots", "image_url": "https://img.youtube.com/vi/VGxGrEnWVsg/hqdefault.jpg", "youtube_id": "VGxGrEnWVsg", "content_kind": "Video", "readable_id": "npr-story-on-ka-los-altos-pilots--june-2011"}, {"translated_youtube_id": "RoGgxrCsCEQ", "relative_url": "/video/the-gates-notes--teachers-in-los-altos", "has_questions": false, "keywords": "Gates, LASD, teachers", "ka_url": "http://www.khanacademy.org/video/the-gates-notes--teachers-in-los-altos", "duration": 182, "translated_title": "The Gates Notes: Teachers in Los Altos", "translated_description_html": "Teachers in Los Altos School District share their experiences with Khan Academy", "id": "215376848", "description_html": "Teachers in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Teachers in Los Altos", "progress_key": "v215376848", "edit_slug": "edit/v/215376848", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Teachers in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes--teachers-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.mp4/RoGgxrCsCEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.mp4/RoGgxrCsCEQ.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RoGgxrCsCEQ.m3u8/RoGgxrCsCEQ.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=RoGgxrCsCEQ&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376848", "sha": "3eb46a1f27b43ff4e3e00b80b64027069caeb7f2", "translated_description": "Teachers in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/RoGgxrCsCEQ/hqdefault.jpg", "youtube_id": "RoGgxrCsCEQ", "content_kind": "Video", "readable_id": "the-gates-notes--teachers-in-los-altos"}, {"translated_youtube_id": "q7lttowsC0Y", "relative_url": "/video/the-gates-notes---students-in-los-altos", "has_questions": false, "keywords": "Gates, LASD, students", "ka_url": "http://www.khanacademy.org/video/the-gates-notes---students-in-los-altos", "duration": 194, "translated_title": "The Gates Notes: Students in Los Altos", "translated_description_html": "Students in Los Altos School District share their experiences with Khan Academy", "id": "215376845", "description_html": "Students in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Students in Los Altos", "progress_key": "v215376845", "edit_slug": "edit/v/215376845", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "Students in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes---students-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.mp4/q7lttowsC0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.mp4/q7lttowsC0Y.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q7lttowsC0Y.m3u8/q7lttowsC0Y.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=q7lttowsC0Y&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376845", "sha": "6763d517432e5067ae7888c7fa74f06f995e7119", "translated_description": "Students in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/q7lttowsC0Y/hqdefault.jpg", "youtube_id": "q7lttowsC0Y", "content_kind": "Video", "readable_id": "the-gates-notes---students-in-los-altos"}, {"translated_youtube_id": "2DlxIXYEu4s", "relative_url": "/video/the-gates-notes--administrators-in-los-altos", "has_questions": false, "keywords": "Gates, LASD", "ka_url": "http://www.khanacademy.org/video/the-gates-notes--administrators-in-los-altos", "duration": 189, "translated_title": "The Gates Notes: Administrators in Los Altos", "translated_description_html": "Administrators in Los Altos School District share their experiences with Khan Academy", "id": "215376844", "description_html": "Administrators in Los Altos School District share their experiences with Khan Academy", "title": "The Gates Notes: Administrators in Los Altos", "progress_key": "v215376844", "edit_slug": "edit/v/215376844", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Administrators in Los Altos School District share their experiences with Khan Academy", "extra_properties": {"original_url": ""}, "node_slug": "v/the-gates-notes--administrators-in-los-altos", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2011-08-27T10:01:30Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.mp4/2DlxIXYEu4s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.mp4/2DlxIXYEu4s.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2DlxIXYEu4s.m3u8/2DlxIXYEu4s.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2DlxIXYEu4s&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v215376844", "sha": "170838977cb430b1dcacde14bd9016321b6abd4f", "translated_description": "Administrators in Los Altos School District share their experiences with Khan Academy", "image_url": "https://img.youtube.com/vi/2DlxIXYEu4s/hqdefault.jpg", "youtube_id": "2DlxIXYEu4s", "content_kind": "Video", "readable_id": "the-gates-notes--administrators-in-los-altos"}, {"translated_youtube_id": "WfMfs6naKkE", "relative_url": "/video/santa_rita_spider_bots", "has_questions": false, "keywords": "spider, spider bot, make, hack, robot, project based learning, hands-on projects, Khan Academy, Arduino", "ka_url": "http://www.khanacademy.org/video/santa_rita_spider_bots", "duration": 699, "translated_title": "6th graders learn to build a Spider robot", "translated_description_html": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "id": "xaab40dee", "description_html": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "title": "6th graders learn to build a Spider robot", "progress_key": "vxaab40dee", "edit_slug": "edit/v/xaab40dee", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:08Z", "description": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "extra_properties": {"original_url": ""}, "node_slug": "v/santa_rita_spider_bots", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-03-29T05:39:21Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.mp4/WfMfs6naKkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.mp4/WfMfs6naKkE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WfMfs6naKkE.m3u8/WfMfs6naKkE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=WfMfs6naKkE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vxaab40dee", "sha": "f32f3cb37df84d4d0dc95adcb5b74cd53eb2ea76", "translated_description": "Vicki Lombardi's 6th grade students at Santa Rita Elementary in Los Altos School district learn how to build a Spider robot.\n\nRead more at: http://lasdilearn.blogspot.com/2013/02/third-graders-building-robots-mission.html", "image_url": "https://img.youtube.com/vi/WfMfs6naKkE/hqdefault.jpg", "youtube_id": "WfMfs6naKkE", "content_kind": "Video", "readable_id": "santa_rita_spider_bots"}], "twitter_url": "", "translated_description": "Los Altos School District was the first district to pilot Khan Academy. Based on the success of four initial teachers, the program is now districtwide and used in 5th-8th grades.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Los Altos School District was the first district to pilot Khan Academy. Based on the success of four initial teachers, the program is now districtwide and used in 5th-8th grades.", "x_pos": 0.0, "node_slug": "lasd", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axe0bae0c9", "topic_page_url": "/coach-res/reference-for-coaches/lasd", "extended_slug": "coach-res/reference-for-coaches/lasd", "slug": "lasd", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "5c0d12c00f36985c354732b99225aed842d36e81", "standalone_title": "Los Altos School District", "y_pos": 0.0, "current_revision_key": "5c0d12c00f36985c354732b99225aed842d36e81", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/oakland-unity", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/oakland-unity", "translated_standalone_title": "Oakland Unity", "translated_title": "Oakland Unity", "gplus_url": "", "id": "x7fd77399", "old_key_name": "MyheqP-11uIxIvWKZQHB3oPU-SFwO6NbbqxmDUaW", "hide": false, "title": "Oakland Unity", "child_data": [{"kind": "Video", "id": 836513086}, {"kind": "Article", "id": "x382ec2d2"}, {"kind": "Article", "id": "x35b03fd8"}, {"kind": "Video", "id": 1104331829}, {"kind": "Article", "id": "x68c98ded"}], "children": [{"translated_youtube_id": "2tYdClfLSCE", "relative_url": "/video/oakland-unity", "has_questions": false, "keywords": "Oakland, Unity", "ka_url": "http://www.khanacademy.org/video/oakland-unity", "duration": 307, "translated_title": "Khan Academy at Oakland Unity High School", "translated_description_html": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "id": "836513086", "description_html": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "title": "Khan Academy at Oakland Unity High School", "progress_key": "v836513086", "edit_slug": "edit/v/836513086", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "extra_properties": {"original_url": ""}, "node_slug": "v/oakland-unity", "deleted": false, "backup_timestamp": "2013-09-23T10:33:40Z", "date_added": "2012-06-11T18:04:12Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.mp4/2tYdClfLSCE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.mp4/2tYdClfLSCE.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2tYdClfLSCE.m3u8/2tYdClfLSCE.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=2tYdClfLSCE&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836513086", "sha": "921eb13f05ef6250a46cb8b47389d89d5d2912f6", "translated_description": "How Khan Academy helped increase student responsibility and motivation in east Oakland", "image_url": "https://img.youtube.com/vi/2tYdClfLSCE/hqdefault.jpg", "youtube_id": "2tYdClfLSCE", "content_kind": "Video", "readable_id": "oakland-unity"}, {"translated_youtube_id": "N_ZHnirms3A", "relative_url": "/video/khan-academy-chats-with-teachers-oct-11-2012", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/khan-academy-chats-with-teachers-oct-11-2012", "duration": 3485, "translated_title": "Khan Academy chats with teachers - Oct 11, 2012", "translated_description_html": "Khan Academy team members and Peter McIntosh, teacher who uses Khan Academy with his students at Oakland Unity High School, answer teachers' questions about Khan Academy.", "id": "1104331829", "description_html": "Khan Academy team members and Peter McIntosh, teacher who uses Khan Academy with his students at Oakland Unity High School, answer teachers' questions about Khan Academy.", "title": "Khan Academy chats with teachers - Oct 11, 2012", "progress_key": "v1104331829", "edit_slug": "edit/v/1104331829", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:09Z", "description": "Khan Academy team members and Peter McIntosh, teacher who uses Khan Academy with his students at Oakland Unity High School, answer teachers' questions about Khan Academy.", "extra_properties": null, "node_slug": "v/khan-academy-chats-with-teachers-oct-11-2012", "deleted": false, "backup_timestamp": "2013-09-22T10:35:38Z", "date_added": "2012-10-24T19:03:26Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/N_ZHnirms3A.mp4/N_ZHnirms3A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N_ZHnirms3A.mp4/N_ZHnirms3A.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N_ZHnirms3A.m3u8/N_ZHnirms3A.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=N_ZHnirms3A&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v1104331829", "sha": "1bf0eb6197826eb4635a90aa772b3f86cdc9faf4", "translated_description": "Khan Academy team members and Peter McIntosh, teacher who uses Khan Academy with his students at Oakland Unity High School, answer teachers' questions about Khan Academy.", "image_url": "https://img.youtube.com/vi/N_ZHnirms3A/hqdefault.jpg", "youtube_id": "N_ZHnirms3A", "content_kind": "Video", "readable_id": "khan-academy-chats-with-teachers-oct-11-2012"}], "twitter_url": "", "translated_description": "Oakland Unity, a charter school serving east Oakland, starting using Khan Academy with their 9th graders. By the end of the school year, additional grade levels were using the program based on the success they saw.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Oakland Unity, a charter school serving east Oakland, starting using Khan Academy with their 9th graders. By the end of the school year, additional grade levels were using the program based on the success they saw.", "x_pos": 0.0, "node_slug": "oakland-unity", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax7fd77399", "topic_page_url": "/coach-res/reference-for-coaches/oakland-unity", "extended_slug": "coach-res/reference-for-coaches/oakland-unity", "slug": "oakland-unity", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "df5bad169141f14186a77253485943f72912e900", "standalone_title": "Oakland Unity", "y_pos": 0.0, "current_revision_key": "df5bad169141f14186a77253485943f72912e900", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/Idaho", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/Idaho", "translated_standalone_title": "Khan Academy in Idaho", "translated_title": "KA in Idaho", "gplus_url": "", "id": "xd4b88750", "old_key_name": null, "hide": false, "title": "KA in Idaho", "child_data": [{"kind": "Article", "id": "x6df58251"}, {"kind": "Article", "id": "x3cbe506c"}], "children": [], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-08-24T02:39:13Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "Idaho", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-09-05T18:31:05Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd4b88750", "topic_page_url": "/coach-res/reference-for-coaches/Idaho", "extended_slug": "coach-res/reference-for-coaches/Idaho", "slug": "Idaho", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "73e32e967a7738268412722e6d9961b7ff1d7833", "standalone_title": "Khan Academy in Idaho", "y_pos": 0.0, "current_revision_key": "73e32e967a7738268412722e6d9961b7ff1d7833", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/burnett", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/burnett", "translated_standalone_title": "Burnett Elementary", "translated_title": "Burnett Elementary", "gplus_url": "", "id": "x74b1cded", "old_key_name": null, "hide": false, "title": "Burnett Elementary", "child_data": [{"kind": "Article", "id": "xd8d73ff9"}, {"kind": "Article", "id": "xf2a9842b"}, {"kind": "Article", "id": "x90079e3d"}], "children": [], "twitter_url": "", "translated_description": "4th grade teacher Alison Elizondo shares her experience using Khan Academy at Burnett Elementary, a Title 1 Public school (40% English language learners, 30% free/reduced lunch) in Milpitas, CA.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "4th grade teacher Alison Elizondo shares her experience using Khan Academy at Burnett Elementary, a Title 1 Public school (40% English language learners, 30% free/reduced lunch) in Milpitas, CA.", "x_pos": 0.0, "node_slug": "burnett", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax74b1cded", "topic_page_url": "/coach-res/reference-for-coaches/burnett", "extended_slug": "coach-res/reference-for-coaches/burnett", "slug": "burnett", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "ff84fe57059ff78bcdbe7de1a07a3056bde775c0", "standalone_title": "Burnett Elementary", "y_pos": 0.0, "current_revision_key": "ff84fe57059ff78bcdbe7de1a07a3056bde775c0", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/innova", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/innova", "translated_standalone_title": "Innova Schools (Peru)", "translated_title": "Innova Schools (Peru)", "gplus_url": "", "id": "xb21d126c", "old_key_name": null, "hide": false, "title": "Innova Schools (Peru)", "child_data": [{"kind": "Article", "id": "xca48c87b"}, {"kind": "Article", "id": "x0bc6d7e6"}], "children": [], "twitter_url": "", "translated_description": "Innova Schools is an ambitious educational private project in Latin America, planning to become the largest school network in the region by 2018. Currently operating 11 schools in Lima, Peru, the company will have at least 70 world-class schools throughout Peru by 2016. Their vision is to provide affordable high-quality education to Peruvian children.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Innova Schools is an ambitious educational private project in Latin America, planning to become the largest school network in the region by 2018. Currently operating 11 schools in Lima, Peru, the company will have at least 70 world-class schools throughout Peru by 2016. Their vision is to provide affordable high-quality education to Peruvian children.", "x_pos": 0.0, "node_slug": "innova", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb21d126c", "topic_page_url": "/coach-res/reference-for-coaches/innova", "extended_slug": "coach-res/reference-for-coaches/innova", "slug": "innova", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "730f93cdffcfbfb737931bd1c1c26ce8d19619c7", "standalone_title": "Innova Schools (Peru)", "y_pos": 0.0, "current_revision_key": "730f93cdffcfbfb737931bd1c1c26ce8d19619c7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/summit", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/summit", "translated_standalone_title": "Summit Public Schools", "translated_title": "Summit Public Schools", "gplus_url": "", "id": "xb3fbfac0", "old_key_name": "m2dRfPuBldu8ct2vu34F6tglow5MntM6hVBakElR", "hide": false, "title": "Summit Public Schools", "child_data": [{"kind": "Video", "id": 836244376}, {"kind": "Article", "id": "xade945fa"}, {"kind": "Article", "id": "x19dcc6e3"}], "children": [{"translated_youtube_id": "TZ1CRFgBK4o", "relative_url": "/video/summit", "has_questions": false, "keywords": "Summit", "ka_url": "http://www.khanacademy.org/video/summit", "duration": 273, "translated_title": "Khan Academy at Summit Public Schools", "translated_description_html": "", "id": "836244376", "description_html": "", "title": "Khan Academy at Summit Public Schools", "progress_key": "v836244376", "edit_slug": "edit/v/836244376", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/summit", "deleted": false, "backup_timestamp": "2013-09-23T10:33:41Z", "date_added": "2012-06-11T18:05:04Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.mp4/TZ1CRFgBK4o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.mp4/TZ1CRFgBK4o.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZ1CRFgBK4o.m3u8/TZ1CRFgBK4o.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=TZ1CRFgBK4o&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836244376", "sha": "ae822d53db60593e41cf49b957ffa7ea1b4130be", "translated_description": "", "image_url": "https://img.youtube.com/vi/TZ1CRFgBK4o/hqdefault.jpg", "youtube_id": "TZ1CRFgBK4o", "content_kind": "Video", "readable_id": "summit"}], "twitter_url": "", "translated_description": "This charter school network, also featured in Waiting for Superman, aimed to transform the learning experience for their 200 incoming 9th graders in their San Jose, CA schools.", "deleted_mod_time": "2013-07-13T00:03:09Z", "logo_image_url": "", "in_knowledge_map": false, "description": "This charter school network, also featured in Waiting for Superman, aimed to transform the learning experience for their 200 incoming 9th graders in their San Jose, CA schools.", "x_pos": 0.0, "node_slug": "summit", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axb3fbfac0", "topic_page_url": "/coach-res/reference-for-coaches/summit", "extended_slug": "coach-res/reference-for-coaches/summit", "slug": "summit", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f873b44ee4d14e5a667b225e271e868d53dbd4f7", "standalone_title": "Summit Public Schools", "y_pos": 0.0, "current_revision_key": "f873b44ee4d14e5a667b225e271e868d53dbd4f7", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/reference-for-coaches/kipp", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/reference-for-coaches/kipp", "translated_standalone_title": "KIPP Public Charter Schools", "translated_title": "KIPP", "gplus_url": "", "id": "xd90e1290", "old_key_name": "R2C2GIR_OTCGR-ztLCPagiJSyodJKhJzsVza_gBQ", "hide": false, "title": "KIPP", "child_data": [{"kind": "Video", "id": 836473924}, {"kind": "Article", "id": "xcbe62d87"}], "children": [{"translated_youtube_id": "9NVQsQLPOqc", "relative_url": "/video/kipp", "has_questions": false, "keywords": "KIPP", "ka_url": "http://www.khanacademy.org/video/kipp", "duration": 254, "translated_title": "Khan Academy at KIPP", "translated_description_html": "", "id": "836473924", "description_html": "", "title": "Khan Academy at KIPP", "progress_key": "v836473924", "edit_slug": "edit/v/836473924", "author_names": [], "deleted_mod_time": "2013-07-13T00:03:07Z", "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/kipp", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2012-06-11T18:05:19Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.mp4/9NVQsQLPOqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.mp4/9NVQsQLPOqc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9NVQsQLPOqc.m3u8/9NVQsQLPOqc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=9NVQsQLPOqc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "v836473924", "sha": "09e0034e14654a6c3caa6a232b231b740981c916", "translated_description": "", "image_url": "https://img.youtube.com/vi/9NVQsQLPOqc/hqdefault.jpg", "youtube_id": "9NVQsQLPOqc", "content_kind": "Video", "readable_id": "kipp"}], "twitter_url": "", "translated_description": "KIPP has charter schools all over the United States. Find out more about how they are using Khan Academy.", "deleted_mod_time": "2013-07-13T00:03:07Z", "logo_image_url": "", "in_knowledge_map": false, "description": "KIPP has charter schools all over the United States. Find out more about how they are using Khan Academy.", "x_pos": 0.0, "node_slug": "kipp", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "axd90e1290", "topic_page_url": "/coach-res/reference-for-coaches/kipp", "extended_slug": "coach-res/reference-for-coaches/kipp", "slug": "kipp", "tags": [], "kind": "Topic", "in_topic_browser": null, "sha": "e4d68d35c710aaafa88a5a5eb4054945ec35cd91", "standalone_title": "KIPP Public Charter Schools", "y_pos": 0.0, "current_revision_key": "e4d68d35c710aaafa88a5a5eb4054945ec35cd91", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "reference-for-coaches", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6e277157", "topic_page_url": "/coach-res/reference-for-coaches", "extended_slug": "coach-res/reference-for-coaches", "slug": "reference-for-coaches", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "f3314a57363e88aedcba2a5870ab768e52fe71e6", "standalone_title": "Reference for coaches", "y_pos": 0.0, "current_revision_key": "f3314a57363e88aedcba2a5870ab768e52fe71e6", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/common-core-resources", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/common-core-resources", "translated_standalone_title": "Common Core resources (CCSS)", "translated_title": "Common Core resources (CCSS)", "gplus_url": "", "id": "x252219a7", "old_key_name": null, "hide": false, "title": "Common Core resources (CCSS)", "child_data": [{"kind": "Topic", "id": "x0df044ae"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/coach-res/common-core-resources/ccss", "web_url": "", "ka_url": "http://www.khanacademy.org/coach-res/common-core-resources/ccss", "translated_standalone_title": "Common Core", "translated_title": "Common Core", "gplus_url": "", "id": "x0df044ae", "old_key_name": null, "hide": false, "title": "Common Core", "child_data": [{"kind": "Video", "id": "xe2eb7ebf"}, {"kind": "Article", "id": "x088b1b8b"}, {"kind": "Article", "id": "xf355e3ba"}], "children": [{"translated_youtube_id": "XGckntP3ynw", "relative_url": "/video/common-core-and-the-khan-academy", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/common-core-and-the-khan-academy", "duration": 445, "translated_title": "Common Core and the Khan Academy", "translated_description_html": "", "id": "xe2eb7ebf", "description_html": "", "title": "Common Core and the Khan Academy", "progress_key": "vxe2eb7ebf", "edit_slug": "edit/v/xe2eb7ebf", "author_names": ["Sal Khan"], "deleted_mod_time": null, "description": "", "extra_properties": {"original_url": ""}, "node_slug": "v/common-core-and-the-khan-academy", "deleted": false, "backup_timestamp": "2013-09-23T10:33:39Z", "date_added": "2013-08-08T14:56:54Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/XGckntP3ynw.mp4/XGckntP3ynw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XGckntP3ynw.mp4/XGckntP3ynw.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XGckntP3ynw.m3u8/XGckntP3ynw.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=XGckntP3ynw&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vxe2eb7ebf", "sha": "0b3dc3139a97a09e2668b96a10ffd2f4f4acf342", "translated_description": "", "image_url": "https://img.youtube.com/vi/XGckntP3ynw/hqdefault.jpg", "youtube_id": "XGckntP3ynw", "content_kind": "Video", "readable_id": "common-core-and-the-khan-academy"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "ccss", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:09Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax0df044ae", "topic_page_url": "/coach-res/common-core-resources/ccss", "extended_slug": "coach-res/common-core-resources/ccss", "slug": "ccss", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "eb9f146d3779204e3982b63e9feb63069bc0e6da", "standalone_title": "Common Core", "y_pos": 0.0, "current_revision_key": "eb9f146d3779204e3982b63e9feb63069bc0e6da", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Learn more about how Khan Academy's resources that include coverage of Common Core Standards. ", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "Learn more about how Khan Academy's resources that include coverage of Common Core Standards. ", "x_pos": 0.0, "node_slug": "common-core-resources", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-29T00:28:08Z", "render_type": "Topic", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax252219a7", "topic_page_url": "/coach-res/common-core-resources", "extended_slug": "coach-res/common-core-resources", "slug": "common-core-resources", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "624024d3e90b5586179ab0c9a3ece5c9faf797b8", "standalone_title": "Common Core resources (CCSS)", "y_pos": 0.0, "current_revision_key": "624024d3e90b5586179ab0c9a3ece5c9faf797b8", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "Resources for educators and mentors who want to explore ways to use Khan Academy in an in-person setting.", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "Resources for educators and mentors who want to explore ways to use Khan Academy in an in-person setting.", "x_pos": 0.0, "node_slug": "coach-res", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-08-30T17:52:23Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax6a4a5e33", "topic_page_url": "/coach-res", "extended_slug": "coach-res", "slug": "coach-res", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "02739bfbee07780f99d3f887108cecc8127ec4c5", "standalone_title": "Coach resources", "y_pos": 0.0, "current_revision_key": "02739bfbee07780f99d3f887108cecc8127ec4c5", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/hour-of-code", "web_url": "", "ka_url": "http://www.khanacademy.org/hour-of-code", "translated_standalone_title": "Hour of Code", "translated_title": "Hour of Code", "gplus_url": "", "id": "x54f76d4b", "old_key_name": null, "hide": false, "title": "Hour of Code", "child_data": [{"kind": "Topic", "id": "x04f30905"}, {"kind": "Topic", "id": "x92e93331"}], "children": [{"icon_src": "", "domain_slug": null, "relative_url": "/hour-of-code/hour-of-code-tutorial", "web_url": "", "ka_url": "http://www.khanacademy.org/hour-of-code/hour-of-code-tutorial", "translated_standalone_title": "Hour of Code", "translated_title": "Hour of Code", "gplus_url": "", "id": "x04f30905", "old_key_name": null, "hide": false, "title": "Hour of Code", "child_data": [{"kind": "Video", "id": "x2e4a61b9"}, {"kind": "Scratchpad", "id": 1968258156}, {"kind": "Scratchpad", "id": 2040170141}, {"kind": "Scratchpad", "id": 1977309939}, {"kind": "Scratchpad", "id": 1931406602}, {"kind": "Scratchpad", "id": 844038377}, {"kind": "Scratchpad", "id": 1931295721}, {"kind": "Scratchpad", "id": 2510603406}, {"kind": "Article", "id": "x375b3407"}], "children": [{"translated_youtube_id": "CYmL-Up_ZNc", "relative_url": "/video/welcome-hour-of-code", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/welcome-hour-of-code", "duration": 136, "translated_title": "Welcome to our Hour of Code!", "translated_description_html": "


<\/p>", "id": "x2e4a61b9", "description_html": "


<\/p>", "title": "Welcome to our Hour of Code!", "progress_key": "vx2e4a61b9", "edit_slug": "edit/v/x2e4a61b9", "author_names": [], "deleted_mod_time": null, "description": "", "extra_properties": {}, "node_slug": "v/welcome-hour-of-code", "deleted": false, "backup_timestamp": "2013-11-12T22:47:51Z", "date_added": "2013-11-12T22:47:51Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/CYmL-Up_ZNc.mp4/CYmL-Up_ZNc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CYmL-Up_ZNc.mp4/CYmL-Up_ZNc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CYmL-Up_ZNc.m3u8/CYmL-Up_ZNc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=CYmL-Up_ZNc&feature=youtube_gdata_player", "ka_user_license": "cc-by-nc-sa", "global_id": "vx2e4a61b9", "sha": "e717e37c012edfd4fce81d259236cc16ff320ce0", "translated_description": "", "image_url": "https://img.youtube.com/vi/CYmL-Up_ZNc/hqdefault.jpg", "youtube_id": "CYmL-Up_ZNc", "content_kind": "Video", "readable_id": "welcome-hour-of-code"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "hour-of-code-tutorial", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-07T19:19:25Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax04f30905", "topic_page_url": "/hour-of-code/hour-of-code-tutorial", "extended_slug": "hour-of-code/hour-of-code-tutorial", "slug": "hour-of-code-tutorial", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a091c08238cf4afaf0b0a28bb41df71bc5b0da03", "standalone_title": "Hour of Code", "y_pos": 0.0, "current_revision_key": "a091c08238cf4afaf0b0a28bb41df71bc5b0da03", "content_kind": "Topic"}, {"icon_src": "", "domain_slug": null, "relative_url": "/hour-of-code/hour-of-code-for-teachers", "web_url": "", "ka_url": "http://www.khanacademy.org/hour-of-code/hour-of-code-for-teachers", "translated_standalone_title": "Hour of Code (for Teachers)", "translated_title": "Hour of Code (for Teachers)", "gplus_url": "", "id": "x92e93331", "old_key_name": null, "hide": false, "title": "Hour of Code (for Teachers)", "child_data": [{"kind": "Article", "id": "xc3d12682"}, {"kind": "Video", "id": "x892f9029"}], "children": [{"translated_youtube_id": "qYZF6oIZtfc", "relative_url": "/video/anybody-can-learn-code", "has_questions": false, "keywords": "", "ka_url": "http://www.khanacademy.org/video/anybody-can-learn-code", "duration": 61, "translated_title": "Anybody can learn to code", "translated_description_html": "

A 60 second video from Code.org on how anybody can learn to code<\/p>", "id": "x892f9029", "description_html": "

A 60 second video from Code.org on how anybody can learn to code<\/p>", "title": "Anybody can learn to code", "progress_key": "vx892f9029", "edit_slug": "edit/v/x892f9029", "author_names": [], "deleted_mod_time": null, "description": "A 60 second video from Code.org on how anybody can learn to code", "extra_properties": {}, "node_slug": "v/anybody-can-learn-code", "deleted": false, "backup_timestamp": "2013-11-15T21:47:27Z", "date_added": "2013-11-15T21:47:27Z", "download_urls": {"mp4": "http://s3.amazonaws.com/KA-youtube-converted/qYZF6oIZtfc.mp4/qYZF6oIZtfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qYZF6oIZtfc.mp4/qYZF6oIZtfc.png", "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qYZF6oIZtfc.m3u8/qYZF6oIZtfc.m3u8"}, "translated_youtube_lang": "en", "kind": "Video", "url": "http://www.youtube.com/watch?v=qYZF6oIZtfc&feature=youtube_gdata_player", "ka_user_license": "yt-standard", "global_id": "vx892f9029", "sha": "18bea1fa074f963d5a0949153999959328a68616", "translated_description": "A 60 second video from Code.org on how anybody can learn to code", "image_url": "https://img.youtube.com/vi/qYZF6oIZtfc/hqdefault.jpg", "youtube_id": "qYZF6oIZtfc", "content_kind": "Video", "readable_id": "anybody-can-learn-code"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "hour-of-code-for-teachers", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-13T00:37:40Z", "render_type": "Tutorial", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax92e93331", "topic_page_url": "/hour-of-code/hour-of-code-for-teachers", "extended_slug": "hour-of-code/hour-of-code-for-teachers", "slug": "hour-of-code-for-teachers", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "32a64b9c05a423623161d637a788b0811e901b0e", "standalone_title": "Hour of Code (for Teachers)", "y_pos": 0.0, "current_revision_key": "32a64b9c05a423623161d637a788b0811e901b0e", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": null, "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "hour-of-code", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-01T20:07:50Z", "render_type": "Subject", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax54f76d4b", "topic_page_url": "/hour-of-code", "extended_slug": "hour-of-code", "slug": "hour-of-code", "tags": [], "kind": "Topic", "in_topic_browser": false, "sha": "a36db060e73bc1de92389be4ce077894524891bc", "standalone_title": "Hour of Code", "y_pos": 0.0, "current_revision_key": "a36db060e73bc1de92389be4ce077894524891bc", "content_kind": "Topic"}], "twitter_url": "", "translated_description": "", "deleted_mod_time": "2013-07-13T00:03:08Z", "logo_image_url": "", "in_knowledge_map": false, "description": "", "x_pos": 0.0, "node_slug": "root", "deleted": false, "facebook_url": "", "backup_timestamp": "2013-11-05T23:11:12Z", "render_type": "Root", "background_image_url": "", "background_image_caption": "", "assessment_progress_key": "ax00000000", "topic_page_url": null, "extended_slug": null, "slug": "root", "tags": [], "kind": "Topic", "in_topic_browser": true, "sha": "cd292393092733892a8b6d924ce40d9c7e86e35a", "standalone_title": "Khan Academy", "y_pos": 0.0, "current_revision_key": "cd292393092733892a8b6d924ce40d9c7e86e35a", "content_kind": "Topic"}